History of Jones polynomials of the prime knots with at most ten crossings

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2026-09-03 04:58 zeta3 After the critique: the knot column is headed 'knot' rather than $knot$; the Definition says K is drawn as in KnotInfo; the Knot Atlas mirrors 139 of the 229 chiral knots, not 137, decided for every knot by Jones, signature or the braid word itself; the issue tracker is no longer cited; 'the m of th current reviewed
2026-09-03 04:31 zeta3 with claude (agent run 20260903T Jones polynomials of the unknot, the 249 prime knots with at most ten crossings as KnotInfo draws them, and the mirror images of the 229 chiral ones; each checked by two algorithms, against the Knot Atlas braid up to mirror and, outside the generator, against KnotInfo
2026-09-03 04:31 zeta3 checking that this table can be written to
2026-09-03 04:31 zeta3 with claude (agent run 20260903T040812Z) draft: Jones polynomials of the prime knots with at most ten crossings and their mirror images, proposal 2 of BATCH-2026-09-03T0305

What changed between 2026-09-03 04:31 and 2026-09-03 04:58

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 Title: Jones polynomials of the prime knots with at most ten crossings-Definition: The Jones polynomial $V_K(t)\in\mathbb{Z}[t,t^{-1}]$ CITE{Wiki} of the-  unknot, of every prime knot $K=n_k$ with at most ten crossings, named as in the-  Rolfsen table CITE{Rolfsen} with Perko's correction CITE{Perko}, and of its mirror-  image $\bar K$, listed as the polynomial $t^{-m}V_K(t)$ with nonzero constant term.+Definition: The Jones polynomial $V_K(t)$ CITE{Wiki} of the unknot, of every prime+  knot $K=n_k$ with at most ten crossings, named as in the Rolfsen table CITE{Rolfsen}+  with Perko's correction CITE{Perko} and drawn as in KnotInfo CITE{KnotInfo}, and+  of its mirror image $\bar K$, listed as $t^{-m}V_K(t)$ with nonzero constant term. Parameters:   n:
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     type: Symbolic     title: the knot $K=n_k$ as KnotInfo draws it, or its mirror image $\bar K$+    display: knot     values:       K: $K$
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     of the braid in its braid notation, and $\bar K$ is its mirror image. The Knot     Atlas CITE{KnotAtlas}, and Sage''s Knots().from_table CITE{Sage}, which takes-    its braid words from the Knot Atlas, draw $\bar K$ for 137 of the 249 knots: their-    $3_1$ is the left-handed trefoil where KnotInfo''s is the right-handed one. Neither-    choice is wrong, which is why both mirror images are listed; the HREF{Alexander_polynomials_of_the_prime_knots_with_at_most_ten_crossings}[Alexander+    its braid words from the Knot Atlas, draw $\bar K$ for 139 of the 229 chiral knots:+    their $3_1$ is the left-handed trefoil where KnotInfo''s is the right-handed one.+    Neither choice is wrong, which is why both mirror images are listed; the HREF{Alexander_polynomials_of_the_prime_knots_with_at_most_ten_crossings}[Alexander     polynomial] does not see the difference.'   comment-chirality: 'An amphichiral knot is isotopic to its mirror image, and its
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     same Jones polynomial CITE{Wiki}. The Alexander polynomials of the knots listed     here are in HREF{Alexander_polynomials_of_the_prime_knots_with_at_most_ten_crossings}[their-    own table]; the HOMFLY-PT polynomials, asked for together with these in CITE{issue91},-    are not listed.+    own table]; the HOMFLY-PT polynomials are not listed. Formulas:   formula-skein: $V(0_1)=1$ and $t^{-1}V(L_+)-t\,V(L_-)=(t^{1/2}-t^{-1/2})\,V(L_0)$
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   formula-mirror: $V_{\bar K}(t)=V_K(t^{-1})$ for the mirror image $\bar K$ CITE{Wiki}.     If the entry of $K$ is $P(t)=t^{-m}V_K(t)$, of degree $d$, the entry of $\bar-    K$ is $t^dP(t^{-1})$, the same coefficients in the opposite order, and its $m$-    is $-m-d$.+    K$ is $t^dP(t^{-1})$, the same coefficients in the opposite order, and the $m$+    of $\bar K$ is $-m-d$.   formula-values: $V_K(1)=1$, $V_K(\omega)=1$ for $\omega$ a primitive HREF{Roots_of_unity}[cube     root of unity], and $|V_K(-1)|=\det K=|\Delta_K(-1)|$, where $\det K$ is the determinant
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     bib: R. E. Tuzun and A. S. Sikora, Verification of the Jones unknot conjecture       up to 24 crossings, J. Knot Theory Ramifications 30 (2021), 2150020.-  issue91:-    bib: 'numberdb-data issue #91, "Knot polynomials", https://github.com/numberdb/numberdb-data/issues/91' Tags: - polynomial
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   rigour: exact   complete: 'yes'-  rigour details: Each polynomial is Sage's jones_polynomial() of the closure of KnotInfo's-    braid word for the knot, which evaluates a representation of the braid group.-    Before it is written the generator requires it to agree exactly with the Kauffman-    bracket state sum on the planar diagram of the same closure, and up to $t\mapsto-    t^{-1}$ with the Jones polynomial of Sage's Knots().from_table, whose braid word-    comes from the Knot Atlas; the entry of $\bar K$ is computed from the mirror image-    of the link and must equal $V_K(t^{-1})$. The value must satisfy $V(1)=1$, $V(\omega)=1$,+  rigour details: 'Each polynomial is Sage''s jones_polynomial() of the closure of+    KnotInfo''s braid word for the knot, which evaluates a representation of the braid+    group. The generator requires it to agree exactly with the Kauffman bracket state+    sum on the planar diagram of the same closure, and up to $t\mapsto t^{-1}$ with+    the Jones polynomial of Sage''s Knots().from_table, whose braid word comes from+    the Knot Atlas; the entry of $\bar K$ is computed from the mirror image of the+    link and must equal $V_K(t^{-1})$. The value must satisfy $V(1)=1$, $V(\omega)=1$,     $|V(-1)|=\det K$, the span and sign conditions for alternating and non-alternating     knots, $V(t)=V(t^{-1})$ exactly for the 20 amphichiral and the six symmetric chiral     knots, and the closed form for the six torus knots. Outside the generator all     249 polynomials of $K$ were compared with the jones_polynomial column of KnotInfo-    (package database_knotinfo 2026.9.1, computed from KnotInfo's own diagrams) and+    (package database_knotinfo 2026.9.1, computed from KnotInfo''s own diagrams) and     agree exactly, so the mirror entries agree with it under $t\mapsto t^{-1}$; $|V(-1)|$-    was compared with $|\Delta(-1)|$ for KnotInfo's Alexander polynomials and $V(i)=(-1)^{\mathrm{Arf}}$+    was compared with $|\Delta(-1)|$ for KnotInfo''s Alexander polynomials and $V(i)=(-1)^{\mathrm{Arf}}$     with its Arf invariants; and the determinant, signature, amphichirality and alternating-    facts in the comments were compared with KnotInfo's columns.+    facts in the comments were compared with KnotInfo''s columns. Which mirror image+    the Knot Atlas draws was decided for every chiral knot: the Jones polynomial of+    Knots().from_table is $V_K(t^{-1})\neq V_K(t)$ for 137 of them; the signature+    Sage computes for the closure of KnotInfo''s braid equals KnotInfo''s column for+    all 249 knots, and for Knots().from_table it is the negative for $9_{42}$ and+    $10_{125}$; and for $10_{48}$, $10_{71}$, $10_{91}$ and $10_{104}$ Sage''s knot+    table holds the same braid word as KnotInfo.' Display properties:   number-header: $t^{-m}V_K(t)$ Numbers:-- params:-    n: '0'-    k: '1'-    knot: K-  number: '1'-  comment: $0_1$, the unknot; $V=1$, and whether any nontrivial knot has $V=1$ is-    an open question-  equals: HREF{One}-- params:-    n: '3'-    k: '1'-    knot: K-  number: -t^3 + t^2 + 1-  comment: $3_1$, the right-handed trefoil, the torus knot $T(2,3)$; $m=1$; determinant-    $3$, signature $-2$, alternating-- params:-    n: '3'-    k: '1'-    knot: mirror-  number: t^3 + t - 1-  comment: the mirror image of $3_1$, the left-handed trefoil; $m=-4$; signature $2$-- params:-    n: '4'-    k: '1'-    knot: K-  number: t^4 - t^3 + t^2 - t + 1-  comment: $4_1$, the figure-eight knot; $m=-2$; determinant $5$, signature $0$, alternating;-    amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '5'-    k: '1'-    knot: K-  number: -t^5 + t^4 - t^3 + t^2 + 1-  comment: $5_1$, the cinquefoil, the torus knot $T(2,5)$; $m=2$; determinant $5$,-    signature $-4$, alternating; the same polynomial as the mirror image of $10_{132}$-- params:-    n: '5'-    k: '1'-    knot: mirror-  number: t^5 + t^3 - t^2 + t - 1-  comment: the mirror image of $5_1$, the cinquefoil; $m=-7$; signature $4$; the same-    polynomial as $10_{132}$-- params:-    n: '5'-    k: '2'-    knot: K-  number: -t^5 + t^4 - t^3 + 2*t^2 - t + 1-  comment: $5_2$, the three-twist knot; $m=1$; determinant $7$, signature $-2$, alternating-- params:-    n: '5'-    k: '2'-    knot: mirror-  number: t^5 - t^4 + 2*t^3 - t^2 + t - 1-  comment: the mirror image of $5_2$, the three-twist knot; $m=-6$; signature $2$-- params:-    n: '6'-    k: '1'-    knot: K-  number: t^6 - t^5 + t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $6_1$, the stevedore knot; $m=-2$; determinant $9$, signature $0$, alternating-- params:-    n: '6'-    k: '1'-    knot: mirror-  number: t^6 - t^5 + 2*t^4 - 2*t^3 + t^2 - t + 1-  comment: the mirror image of $6_1$, the stevedore knot; $m=-4$; signature $0$-- params:-    n: '6'-    k: '2'-    knot: K-  number: t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $6_2$, the Miller Institute knot; $m=-1$; determinant $11$, signature $-2$,-    alternating-- params:-    n: '6'-    k: '2'-    knot: mirror-  number: t^6 - t^5 + 2*t^4 - 2*t^3 + 2*t^2 - 2*t + 1-  comment: the mirror image of $6_2$, the Miller Institute knot; $m=-5$; signature-    $2$-- params:-    n: '6'-    k: '3'-    knot: K-  number: -t^6 + 2*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + 2*t - 1-  comment: $6_3$; $m=-3$; determinant $13$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '7'-    k: '1'-    knot: K-  number: -t^7 + t^6 - t^5 + t^4 - t^3 + t^2 + 1-  comment: $7_1$, the torus knot $T(2,7)$; $m=3$; determinant $7$, signature $-6$,-    alternating-- params:-    n: '7'-    k: '1'-    knot: mirror-  number: t^7 + t^5 - t^4 + t^3 - t^2 + t - 1-  comment: the mirror image of $7_1$; $m=-10$; signature $6$-- params:-    n: '7'-    k: '2'-    knot: K-  number: -t^7 + t^6 - t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $7_2$; $m=1$; determinant $11$, signature $-2$, alternating-- params:-    n: '7'-    k: '2'-    knot: mirror-  number: t^7 - t^6 + 2*t^5 - 2*t^4 + 2*t^3 - t^2 + t - 1-  comment: the mirror image of $7_2$; $m=-8$; signature $2$-- params:-    n: '7'-    k: '3'-    knot: K-  number: -t^7 + t^6 - 2*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $7_3$; $m=2$; determinant $13$, signature $-4$, alternating-- params:-    n: '7'-    k: '3'-    knot: mirror-  number: t^7 - t^6 + 2*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + t - 1-  comment: the mirror image of $7_3$; $m=-9$; signature $4$-- params:-    n: '7'-    k: '4'-    knot: K-  number: -t^7 + t^6 - 2*t^5 + 3*t^4 - 2*t^3 + 3*t^2 - 2*t + 1-  comment: $7_4$, the endless knot; $m=1$; determinant $15$, signature $-2$, alternating-- params:-    n: '7'-    k: '4'-    knot: mirror-  number: t^7 - 2*t^6 + 3*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + t - 1-  comment: the mirror image of $7_4$, the endless knot; $m=-8$; signature $2$-- params:-    n: '7'-    k: '5'-    knot: K-  number: -t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - t + 1-  comment: $7_5$; $m=2$; determinant $17$, signature $-4$, alternating-- params:-    n: '7'-    k: '5'-    knot: mirror-  number: t^7 - t^6 + 3*t^5 - 3*t^4 + 3*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $7_5$; $m=-9$; signature $4$-- params:-    n: '7'-    k: '6'-    knot: K-  number: -t^7 + 2*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t + 1-  comment: $7_6$; $m=-1$; determinant $19$, signature $-2$, alternating-- params:-    n: '7'-    k: '6'-    knot: mirror-  number: t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 4*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $7_6$; $m=-6$; signature $2$-- params:-    n: '7'-    k: '7'-    knot: K-  number: -t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: $7_7$; $m=-4$; determinant $21$, signature $0$, alternating-- params:-    n: '7'-    k: '7'-    knot: mirror-  number: t^7 - 2*t^6 + 3*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 3*t - 1-  comment: the mirror image of $7_7$; $m=-3$; signature $0$-- params:-    n: '8'-    k: '1'-    knot: K-  number: t^8 - t^7 + t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $8_1$; $m=-2$; determinant $13$, signature $0$, alternating-- params:-    n: '8'-    k: '1'-    knot: mirror-  number: t^8 - t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + t^2 - t + 1-  comment: the mirror image of $8_1$; $m=-6$; signature $0$-- params:-    n: '8'-    k: '2'-    knot: K-  number: t^8 - 2*t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $8_2$; $m=0$; determinant $17$, signature $-4$, alternating-- params:-    n: '8'-    k: '2'-    knot: mirror-  number: t^8 - t^7 + 2*t^6 - 2*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - 2*t + 1-  comment: the mirror image of $8_2$; $m=-8$; signature $4$-- params:-    n: '8'-    k: '3'-    knot: K-  number: t^8 - t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - t + 1-  comment: $8_3$; $m=-4$; determinant $17$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '8'-    k: '4'-    knot: K-  number: t^8 - t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - 2*t + 1-  comment: $8_4$; $m=-5$; determinant $19$, signature $2$, alternating-- params:-    n: '8'-    k: '4'-    knot: mirror-  number: t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - t + 1-  comment: the mirror image of $8_4$; $m=-3$; signature $-2$-- params:-    n: '8'-    k: '5'-    knot: K-  number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - t + 1-  comment: $8_5$; $m=0$; determinant $21$, signature $-4$, alternating-- params:-    n: '8'-    k: '5'-    knot: mirror-  number: t^8 - t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: the mirror image of $8_5$; $m=-8$; signature $4$-- params:-    n: '8'-    k: '6'-    knot: K-  number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - t + 1-  comment: $8_6$; $m=-1$; determinant $23$, signature $-2$, alternating-- params:-    n: '8'-    k: '6'-    knot: mirror-  number: t^8 - t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: the mirror image of $8_6$; $m=-7$; signature $2$-- params:-    n: '8'-    k: '7'-    knot: K-  number: -t^8 + 2*t^7 - 2*t^6 + 4*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 2*t - 1-  comment: $8_7$; $m=-6$; determinant $23$, signature $2$, alternating-- params:-    n: '8'-    k: '7'-    knot: mirror-  number: -t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 4*t^3 - 2*t^2 + 2*t - 1-  comment: the mirror image of $8_7$; $m=-2$; signature $-2$-- params:-    n: '8'-    k: '8'-    knot: K-  number: -t^8 + 2*t^7 - 3*t^6 + 5*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 2*t - 1-  comment: $8_8$; $m=-5$; determinant $25$, signature $0$, alternating; the same polynomial-    as the mirror image of $10_{129}$-- params:-    n: '8'-    k: '8'-    knot: mirror-  number: -t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 5*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $8_8$; $m=-3$; signature $0$; the same polynomial as-    $10_{129}$-- params:-    n: '8'-    k: '9'-    knot: K-  number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: $8_9$; $m=-4$; determinant $25$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '8'-    k: '10'-    knot: K-  number: -t^8 + 2*t^7 - 3*t^6 + 5*t^5 - 4*t^4 + 5*t^3 - 4*t^2 + 2*t - 1-  comment: $8_{10}$; $m=-6$; determinant $27$, signature $2$, alternating-- params:-    n: '8'-    k: '10'-    knot: mirror-  number: -t^8 + 2*t^7 - 4*t^6 + 5*t^5 - 4*t^4 + 5*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $8_{10}$; $m=-2$; signature $-2$-- params:-    n: '8'-    k: '11'-    knot: K-  number: t^8 - 2*t^7 + 3*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 4*t^2 - 2*t + 1-  comment: $8_{11}$; $m=-1$; determinant $27$, signature $-2$, alternating-- params:-    n: '8'-    k: '11'-    knot: mirror-  number: t^8 - 2*t^7 + 4*t^6 - 4*t^5 + 5*t^4 - 5*t^3 + 3*t^2 - 2*t + 1-  comment: the mirror image of $8_{11}$; $m=-7$; signature $2$-- params:-    n: '8'-    k: '12'-    knot: K-  number: t^8 - 2*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: $8_{12}$; $m=-4$; determinant $29$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '8'-    k: '13'-    knot: K-  number: -t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + 2*t - 1-  comment: $8_{13}$; $m=-5$; determinant $29$, signature $0$, alternating-- params:-    n: '8'-    k: '13'-    knot: mirror-  number: -t^8 + 2*t^7 - 3*t^6 + 5*t^5 - 5*t^4 + 5*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $8_{13}$; $m=-3$; signature $0$-- params:-    n: '8'-    k: '14'-    knot: K-  number: t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: $8_{14}$; $m=-1$; determinant $31$, signature $-2$, alternating-- params:-    n: '8'-    k: '14'-    knot: mirror-  number: t^8 - 2*t^7 + 4*t^6 - 5*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 3*t + 1-  comment: the mirror image of $8_{14}$; $m=-7$; signature $2$-- params:-    n: '8'-    k: '15'-    knot: K-  number: t^8 - 3*t^7 + 4*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 5*t^2 - 2*t + 1-  comment: $8_{15}$; $m=2$; determinant $33$, signature $-4$, alternating-- params:-    n: '8'-    k: '15'-    knot: mirror-  number: t^8 - 2*t^7 + 5*t^6 - 5*t^5 + 6*t^4 - 6*t^3 + 4*t^2 - 3*t + 1-  comment: the mirror image of $8_{15}$; $m=-10$; signature $4$-- params:-    n: '8'-    k: '16'-    knot: K-  number: -t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 5*t^2 + 3*t - 1-  comment: $8_{16}$; $m=-6$; determinant $35$, signature $2$, alternating; the same-    polynomial as $10_{156}$-- params:-    n: '8'-    k: '16'-    knot: mirror-  number: -t^8 + 3*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $8_{16}$; $m=-2$; signature $-2$; the same polynomial-    as the mirror image of $10_{156}$-- params:-    n: '8'-    k: '17'-    knot: K-  number: t^8 - 3*t^7 + 5*t^6 - 6*t^5 + 7*t^4 - 6*t^3 + 5*t^2 - 3*t + 1-  comment: $8_{17}$; $m=-4$; determinant $37$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '8'-    k: '18'-    knot: K-  number: t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 9*t^4 - 7*t^3 + 6*t^2 - 4*t + 1-  comment: $8_{18}$, the Carrick mat; $m=-4$; determinant $45$, signature $0$, alternating;-    amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '8'-    k: '19'-    knot: K-  number: -t^5 + t^2 + 1-  comment: $8_{19}$, the torus knot $T(3,4)$; $m=3$; determinant $3$, signature $-6$,-    non-alternating-- params:-    n: '8'-    k: '19'-    knot: mirror-  number: t^5 + t^3 - 1-  comment: the mirror image of $8_{19}$; $m=-8$; signature $6$-- params:-    n: '8'-    k: '20'-    knot: K-  number: -t^6 + 2*t^5 - t^4 + 2*t^3 - t^2 + t - 1-  comment: $8_{20}$; $m=-5$; determinant $9$, signature $0$, non-alternating-- params:-    n: '8'-    k: '20'-    knot: mirror-  number: -t^6 + t^5 - t^4 + 2*t^3 - t^2 + 2*t - 1-  comment: the mirror image of $8_{20}$; $m=-1$; signature $0$-- params:-    n: '8'-    k: '21'-    knot: K-  number: t^6 - 2*t^5 + 2*t^4 - 3*t^3 + 3*t^2 - 2*t + 2-  comment: $8_{21}$; $m=1$; determinant $15$, signature $-2$, non-alternating-- params:-    n: '8'-    k: '21'-    knot: mirror-  number: 2*t^6 - 2*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - 2*t + 1-  comment: the mirror image of $8_{21}$; $m=-7$; signature $2$-- params:-    n: '9'-    k: '1'-    knot: K-  number: -t^9 + t^8 - t^7 + t^6 - t^5 + t^4 - t^3 + t^2 + 1-  comment: $9_1$, the torus knot $T(2,9)$; $m=4$; determinant $9$, signature $-8$,-    alternating-- params:-    n: '9'-    k: '1'-    knot: mirror-  number: t^9 + t^7 - t^6 + t^5 - t^4 + t^3 - t^2 + t - 1-  comment: the mirror image of $9_1$; $m=-13$; signature $8$-- params:-    n: '9'-    k: '2'-    knot: K-  number: -t^9 + t^8 - t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $9_2$; $m=1$; determinant $15$, signature $-2$, alternating-- params:-    n: '9'-    k: '2'-    knot: mirror-  number: t^9 - t^8 + 2*t^7 - 2*t^6 + 2*t^5 - 2*t^4 + 2*t^3 - t^2 + t - 1-  comment: the mirror image of $9_2$; $m=-10$; signature $2$-- params:-    n: '9'-    k: '3'-    knot: K-  number: -t^9 + t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $9_3$; $m=3$; determinant $19$, signature $-6$, alternating-- params:-    n: '9'-    k: '3'-    knot: mirror-  number: t^9 - t^8 + 2*t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + t - 1-  comment: the mirror image of $9_3$; $m=-12$; signature $6$-- params:-    n: '9'-    k: '4'-    knot: K-  number: -t^9 + t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 2*t^2 - t + 1-  comment: $9_4$; $m=2$; determinant $21$, signature $-4$, alternating-- params:-    n: '9'-    k: '4'-    knot: mirror-  number: t^9 - t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + t - 1-  comment: the mirror image of $9_4$; $m=-11$; signature $4$-- params:-    n: '9'-    k: '5'-    knot: K-  number: -t^9 + t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t + 1-  comment: $9_5$; $m=1$; determinant $23$, signature $-2$, alternating-- params:-    n: '9'-    k: '5'-    knot: mirror-  number: t^9 - 2*t^8 + 3*t^7 - 3*t^6 + 4*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + t - 1-  comment: the mirror image of $9_5$; $m=-10$; signature $2$-- params:-    n: '9'-    k: '6'-    knot: K-  number: -t^9 + 2*t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - t + 1-  comment: $9_6$; $m=3$; determinant $27$, signature $-6$, alternating-- params:-    n: '9'-    k: '6'-    knot: mirror-  number: t^9 - t^8 + 3*t^7 - 3*t^6 + 4*t^5 - 5*t^4 + 4*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $9_6$; $m=-12$; signature $6$-- params:-    n: '9'-    k: '7'-    knot: K-  number: -t^9 + 2*t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - t + 1-  comment: $9_7$; $m=2$; determinant $29$, signature $-4$, alternating-- params:-    n: '9'-    k: '7'-    knot: mirror-  number: t^9 - t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 4*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $9_7$; $m=-11$; signature $4$-- params:-    n: '9'-    k: '8'-    knot: K-  number: -t^9 + 2*t^8 - 3*t^7 + 5*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: $9_8$; $m=-3$; determinant $31$, signature $-2$, alternating-- params:-    n: '9'-    k: '8'-    knot: mirror-  number: t^9 - 2*t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $9_8$; $m=-6$; signature $2$-- params:-    n: '9'-    k: '9'-    knot: K-  number: -t^9 + 2*t^8 - 4*t^7 + 5*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - t + 1-  comment: $9_9$; $m=3$; determinant $31$, signature $-6$, alternating-- params:-    n: '9'-    k: '9'-    knot: mirror-  number: t^9 - t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 5*t^3 - 4*t^2 + 2*t - 1-  comment: the mirror image of $9_9$; $m=-12$; signature $6$-- params:-    n: '9'-    k: '10'-    knot: K-  number: -t^9 + t^8 - 3*t^7 + 5*t^6 - 5*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: $9_{10}$; $m=2$; determinant $33$, signature $-4$, alternating-- params:-    n: '9'-    k: '10'-    knot: mirror-  number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + t - 1-  comment: the mirror image of $9_{10}$; $m=-11$; signature $4$-- params:-    n: '9'-    k: '11'-    knot: K-  number: t^9 - 2*t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 5*t^4 + 5*t^3 - 4*t^2 + 2*t - 1-  comment: $9_{11}$; $m=-9$; determinant $33$, signature $4$, alternating-- params:-    n: '9'-    k: '11'-    knot: mirror-  number: -t^9 + 2*t^8 - 4*t^7 + 5*t^6 - 5*t^5 + 6*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: the mirror image of $9_{11}$; $m=0$; signature $-4$-- params:-    n: '9'-    k: '12'-    knot: K-  number: -t^9 + 2*t^8 - 3*t^7 + 5*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: $9_{12}$; $m=-1$; determinant $35$, signature $-2$, alternating-- params:-    n: '9'-    k: '12'-    knot: mirror-  number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 5*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $9_{12}$; $m=-8$; signature $2$-- params:-    n: '9'-    k: '13'-    knot: K-  number: -t^9 + 2*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 7*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: $9_{13}$; $m=2$; determinant $37$, signature $-4$, alternating-- params:-    n: '9'-    k: '13'-    knot: mirror-  number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 4*t^2 + 2*t - 1-  comment: the mirror image of $9_{13}$; $m=-11$; signature $4$-- params:-    n: '9'-    k: '14'-    knot: K-  number: -t^9 + 3*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 3*t^2 - 2*t + 1-  comment: $9_{14}$; $m=-6$; determinant $37$, signature $0$, alternating-- params:-    n: '9'-    k: '14'-    knot: mirror-  number: t^9 - 2*t^8 + 3*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $9_{14}$; $m=-3$; signature $0$-- params:-    n: '9'-    k: '15'-    knot: K-  number: t^9 - 2*t^8 + 4*t^7 - 6*t^6 + 7*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 2*t - 1-  comment: $9_{15}$; $m=-8$; determinant $39$, signature $2$, alternating-- params:-    n: '9'-    k: '15'-    knot: mirror-  number: -t^9 + 2*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t + 1-  comment: the mirror image of $9_{15}$; $m=-1$; signature $-2$-- params:-    n: '9'-    k: '16'-    knot: K-  number: -t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 7*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - t + 1-  comment: $9_{16}$; $m=3$; determinant $39$, signature $-6$, alternating-- params:-    n: '9'-    k: '16'-    knot: mirror-  number: t^9 - t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 7*t^4 + 6*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $9_{16}$; $m=-12$; signature $6$-- params:-    n: '9'-    k: '17'-    knot: K-  number: -t^9 + 3*t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: $9_{17}$; $m=-3$; determinant $39$, signature $-2$, alternating-- params:-    n: '9'-    k: '17'-    knot: mirror-  number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 7*t^4 + 6*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $9_{17}$; $m=-6$; signature $2$-- params:-    n: '9'-    k: '18'-    knot: K-  number: -t^9 + 2*t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 5*t^2 - 2*t + 1-  comment: $9_{18}$; $m=2$; determinant $41$, signature $-4$, alternating-- params:-    n: '9'-    k: '18'-    knot: mirror-  number: t^9 - 2*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 4*t^2 + 2*t - 1-  comment: the mirror image of $9_{18}$; $m=-11$; signature $4$-- params:-    n: '9'-    k: '19'-    knot: K-  number: -t^9 + 3*t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t + 1-  comment: $9_{19}$; $m=-4$; determinant $41$, signature $0$, alternating-- params:-    n: '9'-    k: '19'-    knot: mirror-  number: t^9 - 2*t^8 + 4*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $9_{19}$; $m=-5$; signature $0$-- params:-    n: '9'-    k: '20'-    knot: K-  number: -t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: $9_{20}$; $m=0$; determinant $41$, signature $-4$, alternating-- params:-    n: '9'-    k: '20'-    knot: mirror-  number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $9_{20}$; $m=-9$; signature $4$-- params:-    n: '9'-    k: '21'-    knot: K-  number: t^9 - 3*t^8 + 5*t^7 - 6*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 4*t^2 + 2*t - 1-  comment: $9_{21}$; $m=-8$; determinant $43$, signature $2$, alternating-- params:-    n: '9'-    k: '21'-    knot: mirror-  number: -t^9 + 2*t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 8*t^4 - 6*t^3 + 5*t^2 - 3*t + 1-  comment: the mirror image of $9_{21}$; $m=-1$; signature $-2$-- params:-    n: '9'-    k: '22'-    knot: K-  number: -t^9 + 3*t^8 - 5*t^7 + 7*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t + 1-  comment: $9_{22}$; $m=-3$; determinant $43$, signature $-2$, alternating-- params:-    n: '9'-    k: '22'-    knot: mirror-  number: t^9 - 2*t^8 + 4*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 7*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $9_{22}$; $m=-6$; signature $2$-- params:-    n: '9'-    k: '23'-    knot: K-  number: -t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 5*t^2 - 2*t + 1-  comment: $9_{23}$; $m=2$; determinant $45$, signature $-4$, alternating-- params:-    n: '9'-    k: '23'-    knot: mirror-  number: t^9 - 2*t^8 + 5*t^7 - 6*t^6 + 8*t^5 - 8*t^4 + 6*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $9_{23}$; $m=-11$; signature $4$-- params:-    n: '9'-    k: '24'-    knot: K-  number: -t^9 + 2*t^8 - 4*t^7 + 7*t^6 - 7*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 3*t + 1-  comment: $9_{24}$; $m=-4$; determinant $45$, signature $0$, alternating-- params:-    n: '9'-    k: '24'-    knot: mirror-  number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 8*t^5 - 7*t^4 + 7*t^3 - 4*t^2 + 2*t - 1-  comment: the mirror image of $9_{24}$; $m=-5$; signature $0$-- params:-    n: '9'-    k: '25'-    knot: K-  number: -t^9 + 3*t^8 - 5*t^7 + 7*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 2*t + 1-  comment: $9_{25}$; $m=-1$; determinant $47$, signature $-2$, alternating-- params:-    n: '9'-    k: '25'-    knot: mirror-  number: t^9 - 2*t^8 + 5*t^7 - 7*t^6 + 8*t^5 - 8*t^4 + 7*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $9_{25}$; $m=-8$; signature $2$-- params:-    n: '9'-    k: '26'-    knot: K-  number: -t^9 + 3*t^8 - 4*t^7 + 7*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 3*t + 1-  comment: $9_{26}$; $m=-7$; determinant $47$, signature $2$, alternating-- params:-    n: '9'-    k: '26'-    knot: mirror-  number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 8*t^5 - 8*t^4 + 7*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $9_{26}$; $m=-2$; signature $-2$-- params:-    n: '9'-    k: '27'-    knot: K-  number: -t^9 + 3*t^8 - 5*t^7 + 7*t^6 - 8*t^5 + 9*t^4 - 7*t^3 + 5*t^2 - 3*t + 1-  comment: $9_{27}$; $m=-4$; determinant $49$, signature $0$, alternating-- params:-    n: '9'-    k: '27'-    knot: mirror-  number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $9_{27}$; $m=-5$; signature $0$-- params:-    n: '9'-    k: '28'-    knot: K-  number: t^9 - 3*t^8 + 5*t^7 - 8*t^6 + 9*t^5 - 8*t^4 + 8*t^3 - 5*t^2 + 3*t - 1-  comment: $9_{28}$; $m=-2$; determinant $51$, signature $-2$, alternating-- params:-    n: '9'-    k: '28'-    knot: mirror-  number: -t^9 + 3*t^8 - 5*t^7 + 8*t^6 - 8*t^5 + 9*t^4 - 8*t^3 + 5*t^2 - 3*t + 1-  comment: the mirror image of $9_{28}$; $m=-7$; signature $2$-- params:-    n: '9'-    k: '29'-    knot: K-  number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 9*t^5 - 8*t^4 + 8*t^3 - 6*t^2 + 3*t - 1-  comment: $9_{29}$; $m=-6$; determinant $51$, signature $2$, alternating-- params:-    n: '9'-    k: '29'-    knot: mirror-  number: -t^9 + 3*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 9*t^4 - 7*t^3 + 5*t^2 - 3*t + 1-  comment: the mirror image of $9_{29}$; $m=-3$; signature $-2$-- params:-    n: '9'-    k: '30'-    knot: K-  number: t^9 - 3*t^8 + 6*t^7 - 8*t^6 + 9*t^5 - 9*t^4 + 8*t^3 - 5*t^2 + 3*t - 1-  comment: $9_{30}$; $m=-5$; determinant $53$, signature $0$, alternating-- params:-    n: '9'-    k: '30'-    knot: mirror-  number: -t^9 + 3*t^8 - 5*t^7 + 8*t^6 - 9*t^5 + 9*t^4 - 8*t^3 + 6*t^2 - 3*t + 1-  comment: the mirror image of $9_{30}$; $m=-4$; signature $0$-- params:-    n: '9'-    k: '31'-    knot: K-  number: t^9 - 4*t^8 + 6*t^7 - 8*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 5*t^2 + 3*t - 1-  comment: $9_{31}$; $m=-2$; determinant $55$, signature $-2$, alternating-- params:-    n: '9'-    k: '31'-    knot: mirror-  number: -t^9 + 3*t^8 - 5*t^7 + 8*t^6 - 9*t^5 + 10*t^4 - 8*t^3 + 6*t^2 - 4*t + 1-  comment: the mirror image of $9_{31}$; $m=-7$; signature $2$-- params:-    n: '9'-    k: '32'-    knot: K-  number: -t^9 + 4*t^8 - 6*t^7 + 9*t^6 - 10*t^5 + 10*t^4 - 9*t^3 + 6*t^2 - 3*t + 1-  comment: $9_{32}$; $m=-7$; determinant $59$, signature $2$, alternating-- params:-    n: '9'-    k: '32'-    knot: mirror-  number: t^9 - 3*t^8 + 6*t^7 - 9*t^6 + 10*t^5 - 10*t^4 + 9*t^3 - 6*t^2 + 4*t - 1-  comment: the mirror image of $9_{32}$; $m=-2$; signature $-2$-- params:-    n: '9'-    k: '33'-    knot: K-  number: t^9 - 4*t^8 + 7*t^7 - 9*t^6 + 11*t^5 - 10*t^4 + 9*t^3 - 6*t^2 + 3*t - 1-  comment: $9_{33}$; $m=-5$; determinant $61$, signature $0$, alternating-- params:-    n: '9'-    k: '33'-    knot: mirror-  number: -t^9 + 3*t^8 - 6*t^7 + 9*t^6 - 10*t^5 + 11*t^4 - 9*t^3 + 7*t^2 - 4*t + 1-  comment: the mirror image of $9_{33}$; $m=-4$; signature $0$-- params:-    n: '9'-    k: '34'-    knot: K-  number: t^9 - 4*t^8 + 8*t^7 - 10*t^6 + 12*t^5 - 12*t^4 + 10*t^3 - 7*t^2 + 4*t --    1-  comment: $9_{34}$; $m=-5$; determinant $69$, signature $0$, alternating-- params:-    n: '9'-    k: '34'-    knot: mirror-  number: -t^9 + 4*t^8 - 7*t^7 + 10*t^6 - 12*t^5 + 12*t^4 - 10*t^3 + 8*t^2 - 4*t +-    1-  comment: the mirror image of $9_{34}$; $m=-4$; signature $0$-- params:-    n: '9'-    k: '35'-    knot: K-  number: -t^9 + t^8 - 3*t^7 + 4*t^6 - 3*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: $9_{35}$; $m=1$; determinant $27$, signature $-2$, alternating-- params:-    n: '9'-    k: '35'-    knot: mirror-  number: t^9 - 2*t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 3*t^4 + 4*t^3 - 3*t^2 + t - 1-  comment: the mirror image of $9_{35}$; $m=-10$; signature $2$-- params:-    n: '9'-    k: '36'-    knot: K-  number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 2*t - 1-  comment: $9_{36}$; $m=-9$; determinant $37$, signature $4$, alternating-- params:-    n: '9'-    k: '36'-    knot: mirror-  number: -t^9 + 2*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: the mirror image of $9_{36}$; $m=0$; signature $-4$-- params:-    n: '9'-    k: '37'-    knot: K-  number: -t^9 + 3*t^8 - 4*t^7 + 7*t^6 - 8*t^5 + 7*t^4 - 7*t^3 + 5*t^2 - 2*t + 1-  comment: $9_{37}$; $m=-4$; determinant $45$, signature $0$, alternating-- params:-    n: '9'-    k: '37'-    knot: mirror-  number: t^9 - 2*t^8 + 5*t^7 - 7*t^6 + 7*t^5 - 8*t^4 + 7*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $9_{37}$; $m=-5$; signature $0$-- params:-    n: '9'-    k: '38'-    knot: K-  number: -t^9 + 3*t^8 - 6*t^7 + 8*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 7*t^2 - 3*t + 1-  comment: $9_{38}$; $m=2$; determinant $57$, signature $-4$, alternating-- params:-    n: '9'-    k: '38'-    knot: mirror-  number: t^9 - 3*t^8 + 7*t^7 - 8*t^6 + 10*t^5 - 10*t^4 + 8*t^3 - 6*t^2 + 3*t - 1-  comment: the mirror image of $9_{38}$; $m=-11$; signature $4$-- params:-    n: '9'-    k: '39'-    knot: K-  number: t^9 - 3*t^8 + 6*t^7 - 8*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 6*t^2 + 3*t - 1-  comment: $9_{39}$; $m=-8$; determinant $55$, signature $2$, alternating-- params:-    n: '9'-    k: '39'-    knot: mirror-  number: -t^9 + 3*t^8 - 6*t^7 + 8*t^6 - 9*t^5 + 10*t^4 - 8*t^3 + 6*t^2 - 3*t + 1-  comment: the mirror image of $9_{39}$; $m=-1$; signature $-2$-- params:-    n: '9'-    k: '40'-    knot: K-  number: t^9 - 4*t^8 + 8*t^7 - 11*t^6 + 13*t^5 - 13*t^4 + 11*t^3 - 8*t^2 + 5*t --    1-  comment: $9_{40}$; $m=-2$; determinant $75$, signature $-2$, alternating-- params:-    n: '9'-    k: '40'-    knot: mirror-  number: -t^9 + 5*t^8 - 8*t^7 + 11*t^6 - 13*t^5 + 13*t^4 - 11*t^3 + 8*t^2 - 4*t +-    1-  comment: the mirror image of $9_{40}$; $m=-7$; signature $2$-- params:-    n: '9'-    k: '41'-    knot: K-  number: -t^9 + 3*t^8 - 5*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 3*t + 1-  comment: $9_{41}$; $m=-6$; determinant $49$, signature $0$, alternating-- params:-    n: '9'-    k: '41'-    knot: mirror-  number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 8*t^5 - 8*t^4 + 8*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $9_{41}$; $m=-3$; signature $0$-- params:-    n: '9'-    k: '42'-    knot: K-  number: t^6 - t^5 + t^4 - t^3 + t^2 - t + 1-  comment: $9_{42}$; $m=-3$; determinant $7$, signature $2$, non-alternating; chiral,-    yet $V(t)=V(1/t)$, so the mirror image has the same polynomial-- params:-    n: '9'-    k: '42'-    knot: mirror-  number: t^6 - t^5 + t^4 - t^3 + t^2 - t + 1-  comment: the mirror image of $9_{42}$; $m=-3$; signature $-2$; the same polynomial-    as $9_{42}$-- params:-    n: '9'-    k: '43'-    knot: K-  number: -t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $9_{43}$; $m=0$; determinant $13$, signature $-4$, non-alternating-- params:-    n: '9'-    k: '43'-    knot: mirror-  number: t^7 - t^6 + 2*t^5 - 2*t^4 + 2*t^3 - 2*t^2 + 2*t - 1-  comment: the mirror image of $9_{43}$; $m=-7$; signature $4$-- params:-    n: '9'-    k: '44'-    knot: K-  number: -t^7 + 2*t^6 - 2*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - 2*t + 1-  comment: $9_{44}$; $m=-2$; determinant $17$, signature $0$, non-alternating-- params:-    n: '9'-    k: '44'-    knot: mirror-  number: t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + 2*t - 1-  comment: the mirror image of $9_{44}$; $m=-5$; signature $0$-- params:-    n: '9'-    k: '45'-    knot: K-  number: 2*t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 2*t - 1-  comment: $9_{45}$; $m=-8$; determinant $23$, signature $2$, non-alternating-- params:-    n: '9'-    k: '45'-    knot: mirror-  number: -t^7 + 2*t^6 - 3*t^5 + 4*t^4 - 4*t^3 + 4*t^2 - 3*t + 2-  comment: the mirror image of $9_{45}$; $m=1$; signature $-2$-- params:-    n: '9'-    k: '46'-    knot: K-  number: 2*t^6 - t^5 + t^4 - 2*t^3 + t^2 - t + 1-  comment: $9_{46}$; $m=-6$; determinant $9$, signature $0$, non-alternating-- params:-    n: '9'-    k: '46'-    knot: mirror-  number: t^6 - t^5 + t^4 - 2*t^3 + t^2 - t + 2-  comment: the mirror image of $9_{46}$; $m=0$; signature $0$-- params:-    n: '9'-    k: '47'-    knot: K-  number: 2*t^7 - 4*t^6 + 4*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + 3*t - 1-  comment: $9_{47}$; $m=-2$; determinant $27$, signature $-2$, non-alternating-- params:-    n: '9'-    k: '47'-    knot: mirror-  number: -t^7 + 3*t^6 - 3*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 4*t + 2-  comment: the mirror image of $9_{47}$; $m=-5$; signature $2$-- params:-    n: '9'-    k: '48'-    knot: K-  number: t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 6*t^3 - 4*t^2 + 3*t - 2-  comment: $9_{48}$; $m=-6$; determinant $27$, signature $2$, non-alternating-- params:-    n: '9'-    k: '48'-    knot: mirror-  number: -2*t^7 + 3*t^6 - 4*t^5 + 6*t^4 - 4*t^3 + 4*t^2 - 3*t + 1-  comment: the mirror image of $9_{48}$; $m=-1$; signature $-2$-- params:-    n: '9'-    k: '49'-    knot: K-  number: -2*t^7 + 3*t^6 - 4*t^5 + 5*t^4 - 4*t^3 + 4*t^2 - 2*t + 1-  comment: $9_{49}$; $m=2$; determinant $25$, signature $-4$, non-alternating-- params:-    n: '9'-    k: '49'-    knot: mirror-  number: t^7 - 2*t^6 + 4*t^5 - 4*t^4 + 5*t^3 - 4*t^2 + 3*t - 2-  comment: the mirror image of $9_{49}$; $m=-9$; signature $4$-- params:-    n: '10'-    k: '1'-    knot: K-  number: t^10 - t^9 + t^8 - 2*t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $10_1$; $m=-2$; determinant $17$, signature $0$, alternating-- params:-    n: '10'-    k: '1'-    knot: mirror-  number: t^10 - t^9 + 2*t^8 - 2*t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + t^2 - t + 1-  comment: the mirror image of $10_1$; $m=-8$; signature $0$-- params:-    n: '10'-    k: '2'-    knot: K-  number: t^10 - 2*t^9 + 2*t^8 - 3*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t-    + 1-  comment: $10_2$; $m=1$; determinant $23$, signature $-6$, alternating-- params:-    n: '10'-    k: '2'-    knot: mirror-  number: t^10 - t^9 + 2*t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - 2*t-    + 1-  comment: the mirror image of $10_2$; $m=-11$; signature $6$-- params:-    n: '10'-    k: '3'-    knot: K-  number: t^10 - t^9 + 2*t^8 - 3*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 2*t^2 - t +-    1-  comment: $10_3$; $m=-4$; determinant $25$, signature $0$, alternating-- params:-    n: '10'-    k: '3'-    knot: mirror-  number: t^10 - t^9 + 2*t^8 - 3*t^7 + 4*t^6 - 4*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - t +-    1-  comment: the mirror image of $10_3$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '4'-    knot: K-  number: t^10 - t^9 + 2*t^8 - 3*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t-    + 1-  comment: $10_4$; $m=-5$; determinant $27$, signature $2$, alternating-- params:-    n: '10'-    k: '4'-    knot: mirror-  number: t^10 - 2*t^9 + 3*t^8 - 3*t^7 + 4*t^6 - 4*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - t-    + 1-  comment: the mirror image of $10_4$; $m=-5$; signature $-2$-- params:-    n: '10'-    k: '5'-    knot: K-  number: -t^10 + 2*t^9 - 2*t^8 + 4*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 4*t^3 - 3*t^2 +-    2*t - 1-  comment: $10_5$; $m=-9$; determinant $33$, signature $4$, alternating-- params:-    n: '10'-    k: '5'-    knot: mirror-  number: -t^10 + 2*t^9 - 3*t^8 + 4*t^7 - 5*t^6 + 5*t^5 - 4*t^4 + 4*t^3 - 2*t^2 +-    2*t - 1-  comment: the mirror image of $10_5$; $m=-1$; signature $-4$-- params:-    n: '10'-    k: '6'-    knot: K-  number: t^10 - 2*t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 6*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - t-    + 1-  comment: $10_6$; $m=0$; determinant $37$, signature $-4$, alternating-- params:-    n: '10'-    k: '6'-    knot: mirror-  number: t^10 - t^9 + 3*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 3*t^2 - 2*t-    + 1-  comment: the mirror image of $10_6$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '7'-    knot: K-  number: t^10 - 2*t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 5*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_7$; $m=-1$; determinant $43$, signature $-2$, alternating-- params:-    n: '10'-    k: '7'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 5*t^7 + 7*t^6 - 7*t^5 + 6*t^4 - 5*t^3 + 3*t^2 - 2*t-    + 1-  comment: the mirror image of $10_7$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '8'-    knot: K-  number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 4*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 2*t^2 - t-    + 1-  comment: $10_8$; $m=-2$; determinant $29$, signature $-4$, alternating-- params:-    n: '10'-    k: '8'-    knot: mirror-  number: t^10 - t^9 + 2*t^8 - 3*t^7 + 4*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t-    + 1-  comment: the mirror image of $10_8$; $m=-8$; signature $4$-- params:-    n: '10'-    k: '9'-    knot: K-  number: t^10 - 2*t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 6*t^5 + 6*t^4 - 4*t^3 + 3*t^2 - 2*t-    + 1-  comment: $10_9$; $m=-3$; determinant $39$, signature $-2$, alternating-- params:-    n: '10'-    k: '9'-    knot: mirror-  number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 3*t^2 - 2*t-    + 1-  comment: the mirror image of $10_9$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '10'-    knot: K-  number: -t^10 + 3*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 3*t^2 +-    2*t - 1-  comment: $10_{10}$; $m=-7$; determinant $45$, signature $0$, alternating-- params:-    n: '10'-    k: '10'-    knot: mirror-  number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 4*t^2 +-    3*t - 1-  comment: the mirror image of $10_{10}$; $m=-3$; signature $0$-- params:-    n: '10'-    k: '11'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 7*t^6 - 7*t^5 + 6*t^4 - 5*t^3 + 3*t^2 - t-    + 1-  comment: $10_{11}$; $m=-3$; determinant $43$, signature $-2$, alternating-- params:-    n: '10'-    k: '11'-    knot: mirror-  number: t^10 - t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{11}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '12'-    knot: K-  number: -t^10 + 2*t^9 - 3*t^8 + 6*t^7 - 7*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{12}$; $m=-8$; determinant $47$, signature $2$, alternating-- params:-    n: '10'-    k: '12'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 3*t^2 +-    2*t - 1-  comment: the mirror image of $10_{12}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '13'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 9*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 2*t-    + 1-  comment: $10_{13}$; $m=-4$; determinant $53$, signature $0$, alternating-- params:-    n: '10'-    k: '13'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 8*t^6 - 9*t^5 + 8*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{13}$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '14'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 9*t^6 - 9*t^5 + 9*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_{14}$; $m=0$; determinant $57$, signature $-4$, alternating-- params:-    n: '10'-    k: '14'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 9*t^6 - 9*t^5 + 9*t^4 - 8*t^3 + 5*t^2 - 3*t-    + 1-  comment: the mirror image of $10_{14}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '15'-    knot: K-  number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 6*t^4 + 6*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{15}$; $m=-6$; determinant $43$, signature $2$, alternating-- params:-    n: '10'-    k: '15'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 6*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 3*t^2 +-    2*t - 1-  comment: the mirror image of $10_{15}$; $m=-4$; signature $-2$-- params:-    n: '10'-    k: '16'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 7*t^6 - 8*t^5 + 7*t^4 - 5*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_{16}$; $m=-3$; determinant $47$, signature $-2$, alternating-- params:-    n: '10'-    k: '16'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 5*t^7 + 7*t^6 - 8*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{16}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '17'-    knot: K-  number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 3*t^2 +-    2*t - 1-  comment: $10_{17}$; $m=-5$; determinant $41$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '18'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 9*t^5 + 8*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_{18}$; $m=-3$; determinant $55$, signature $-2$, alternating-- params:-    n: '10'-    k: '18'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 9*t^5 + 9*t^4 - 7*t^3 + 5*t^2 - 3*t-    + 1-  comment: the mirror image of $10_{18}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '19'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 7*t^7 - 8*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 3*t^2 +-    2*t - 1-  comment: $10_{19}$; $m=-4$; determinant $51$, signature $-2$, alternating-- params:-    n: '10'-    k: '19'-    knot: mirror-  number: -t^10 + 2*t^9 - 3*t^8 + 6*t^7 - 7*t^6 + 8*t^5 - 8*t^4 + 7*t^3 - 5*t^2 +-    3*t - 1-  comment: the mirror image of $10_{19}$; $m=-6$; signature $2$-- params:-    n: '10'-    k: '20'-    knot: K-  number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - t-    + 1-  comment: $10_{20}$; $m=-1$; determinant $35$, signature $-2$, alternating-- params:-    n: '10'-    k: '20'-    knot: mirror-  number: t^10 - t^9 + 3*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{20}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '21'-    knot: K-  number: t^10 - 2*t^9 + 3*t^8 - 6*t^7 + 7*t^6 - 7*t^5 + 7*t^4 - 5*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_{21}$; $m=0$; determinant $45$, signature $-4$, alternating-- params:-    n: '10'-    k: '21'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 5*t^7 + 7*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 3*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{21}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '22'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 7*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_{22}$; $m=-4$; determinant $49$, signature $0$, alternating; the same-    polynomial as the mirror image of $10_{35}$-- params:-    n: '10'-    k: '22'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{22}$; $m=-6$; signature $0$; the same polynomial-    as $10_{35}$-- params:-    n: '10'-    k: '23'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 10*t^5 - 9*t^4 + 7*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{23}$; $m=-8$; determinant $59$, signature $2$, alternating-- params:-    n: '10'-    k: '23'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 9*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 5*t^2 +-    3*t - 1-  comment: the mirror image of $10_{23}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '24'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 7*t^7 + 8*t^6 - 9*t^5 + 9*t^4 - 7*t^3 + 5*t^2 - 2*t-    + 1-  comment: $10_{24}$; $m=-1$; determinant $55$, signature $-2$, alternating-- params:-    n: '10'-    k: '24'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 9*t^5 + 8*t^4 - 7*t^3 + 4*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{24}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '25'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 7*t^3 + 5*t^2-    - 2*t + 1-  comment: $10_{25}$; $m=0$; determinant $65$, signature $-4$, alternating; the same-    polynomial as $10_{56}$-- params:-    n: '10'-    k: '25'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{25}$; $m=-10$; signature $4$; the same polynomial-    as the mirror image of $10_{56}$-- params:-    n: '10'-    k: '26'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 7*t^7 + 9*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 6*t^2 --    3*t + 1-  comment: $10_{26}$; $m=-4$; determinant $61$, signature $0$, alternating-- params:-    n: '10'-    k: '26'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 9*t^4 - 7*t^3 + 4*t^2 --    2*t + 1-  comment: the mirror image of $10_{26}$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '27'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 9*t^7 - 11*t^6 + 12*t^5 - 11*t^4 + 9*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{27}$; $m=-8$; determinant $71$, signature $2$, alternating-- params:-    n: '10'-    k: '27'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 11*t^6 + 12*t^5 - 11*t^4 + 9*t^3 - 5*t^2-    + 3*t - 1-  comment: the mirror image of $10_{27}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '28'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 7*t^7 - 8*t^6 + 9*t^5 - 7*t^4 + 6*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{28}$; $m=-7$; determinant $53$, signature $0$, alternating-- params:-    n: '10'-    k: '28'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 5*t^2 +-    3*t - 1-  comment: the mirror image of $10_{28}$; $m=-3$; signature $0$-- params:-    n: '10'-    k: '29'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 9*t^4 - 7*t^3 + 5*t^2 --    2*t + 1-  comment: $10_{29}$; $m=-3$; determinant $63$, signature $-2$, alternating-- params:-    n: '10'-    k: '29'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 11*t^5 + 10*t^4 - 8*t^3 + 6*t^2 --    3*t + 1-  comment: the mirror image of $10_{29}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '30'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 11*t^4 - 8*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{30}$; $m=-1$; determinant $67$, signature $-2$, alternating-- params:-    n: '10'-    k: '30'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 11*t^5 + 10*t^4 - 8*t^3 + 5*t^2-    - 3*t + 1-  comment: the mirror image of $10_{30}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '31'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 7*t^7 - 9*t^6 + 10*t^5 - 8*t^4 + 7*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{31}$; $m=-5$; determinant $57$, signature $0$, alternating-- params:-    n: '10'-    k: '31'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 10*t^5 - 9*t^4 + 7*t^3 - 5*t^2 +-    3*t - 1-  comment: the mirror image of $10_{31}$; $m=-5$; signature $0$-- params:-    n: '10'-    k: '32'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 11*t^6 - 11*t^5 + 11*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{32}$; $m=-4$; determinant $69$, signature $0$, alternating-- params:-    n: '10'-    k: '32'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 11*t^5 + 11*t^4 - 8*t^3 + 5*t^2-    - 3*t + 1-  comment: the mirror image of $10_{32}$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '33'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 10*t^4 + 8*t^3 - 5*t^2-    + 3*t - 1-  comment: $10_{33}$; $m=-5$; determinant $65$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '34'-    knot: K-  number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 5*t^6 + 6*t^5 - 5*t^4 + 4*t^3 - 3*t^2 +-    2*t - 1-  comment: $10_{34}$; $m=-7$; determinant $37$, signature $0$, alternating-- params:-    n: '10'-    k: '34'-    knot: mirror-  number: -t^10 + 2*t^9 - 3*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 5*t^4 + 5*t^3 - 3*t^2 +-    2*t - 1-  comment: the mirror image of $10_{34}$; $m=-3$; signature $0$-- params:-    n: '10'-    k: '35'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_{35}$; $m=-6$; determinant $49$, signature $0$, alternating; the same-    polynomial as the mirror image of $10_{22}$-- params:-    n: '10'-    k: '35'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 7*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{35}$; $m=-4$; signature $0$; the same polynomial-    as $10_{22}$-- params:-    n: '10'-    k: '36'-    knot: K-  number: t^10 - 3*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_{36}$; $m=-1$; determinant $51$, signature $-2$, alternating-- params:-    n: '10'-    k: '36'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2 - 3*t-    + 1-  comment: the mirror image of $10_{36}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '37'-    knot: K-  number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{37}$; $m=-5$; determinant $53$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '38'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 10*t^5 + 9*t^4 - 7*t^3 + 5*t^2 --    2*t + 1-  comment: $10_{38}$; $m=-1$; determinant $59$, signature $-2$, alternating-- params:-    n: '10'-    k: '38'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 10*t^5 + 9*t^4 - 7*t^3 + 5*t^2 --    3*t + 1-  comment: the mirror image of $10_{38}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '39'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 9*t^4 - 7*t^3 + 5*t^2 --    2*t + 1-  comment: $10_{39}$; $m=0$; determinant $61$, signature $-4$, alternating-- params:-    n: '10'-    k: '39'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 5*t^2 --    3*t + 1-  comment: the mirror image of $10_{39}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '40'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 11*t^6 + 13*t^5 - 12*t^4 + 9*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{40}$; $m=-8$; determinant $75$, signature $2$, alternating; the same-    polynomial as $10_{103}$-- params:-    n: '10'-    k: '40'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 12*t^6 + 13*t^5 - 11*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: the mirror image of $10_{40}$; $m=-2$; signature $-2$; the same polynomial-    as the mirror image of $10_{103}$-- params:-    n: '10'-    k: '41'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 8*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{41}$; $m=-3$; determinant $71$, signature $-2$, alternating; the same-    polynomial as $10_{94}$-- params:-    n: '10'-    k: '41'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{41}$; $m=-7$; signature $2$; the same polynomial-    as the mirror image of $10_{94}$-- params:-    n: '10'-    k: '42'-    knot: K-  number: -t^10 + 4*t^9 - 7*t^8 + 10*t^7 - 13*t^6 + 14*t^5 - 12*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{42}$; $m=-5$; determinant $81$, signature $0$, alternating-- params:-    n: '10'-    k: '42'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 14*t^5 - 13*t^4 + 10*t^3 - 7*t^2-    + 4*t - 1-  comment: the mirror image of $10_{42}$; $m=-5$; signature $0$-- params:-    n: '10'-    k: '43'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 11*t^6 + 13*t^5 - 11*t^4 + 9*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{43}$; $m=-5$; determinant $73$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$; the same polynomial as-    $10_{91}$, the mirror image of $10_{91}$-- params:-    n: '10'-    k: '44'-    knot: K-  number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 13*t^6 - 13*t^5 + 12*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{44}$; $m=-3$; determinant $79$, signature $-2$, alternating-- params:-    n: '10'-    k: '44'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 13*t^5 + 13*t^4 - 10*t^3 + 7*t^2-    - 4*t + 1-  comment: the mirror image of $10_{44}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '45'-    knot: K-  number: -t^10 + 4*t^9 - 7*t^8 + 11*t^7 - 14*t^6 + 15*t^5 - 14*t^4 + 11*t^3 - 7*t^2-    + 4*t - 1-  comment: $10_{45}$; $m=-5$; determinant $89$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '46'-    knot: K-  number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 4*t^6 - 5*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - t-    + 1-  comment: $10_{46}$; $m=1$; determinant $31$, signature $-6$, alternating-- params:-    n: '10'-    k: '46'-    knot: mirror-  number: t^10 - t^9 + 3*t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{46}$; $m=-11$; signature $6$-- params:-    n: '10'-    k: '47'-    knot: K-  number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 5*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{47}$; $m=-9$; determinant $41$, signature $4$, alternating-- params:-    n: '10'-    k: '47'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 5*t^4 + 5*t^3 - 3*t^2 +-    2*t - 1-  comment: the mirror image of $10_{47}$; $m=-1$; signature $-4$-- params:-    n: '10'-    k: '48'-    knot: K-  number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 9*t^5 - 7*t^4 + 6*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{48}$; $m=-5$; determinant $49$, signature $0$, alternating; chiral,-    yet $V(t)=V(1/t)$, so the mirror image has the same polynomial-- params:-    n: '10'-    k: '48'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 9*t^5 - 7*t^4 + 6*t^3 - 4*t^2 +-    2*t - 1-  comment: the mirror image of $10_{48}$; $m=-5$; signature $0$; the same polynomial-    as $10_{48}$-- params:-    n: '10'-    k: '49'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 9*t^6 - 10*t^5 + 9*t^4 - 6*t^3 + 5*t^2 --    2*t + 1-  comment: $10_{49}$; $m=3$; determinant $59$, signature $-6$, alternating-- params:-    n: '10'-    k: '49'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 6*t^7 + 9*t^6 - 10*t^5 + 9*t^4 - 8*t^3 + 5*t^2 --    3*t + 1-  comment: the mirror image of $10_{49}$; $m=-13$; signature $6$-- params:-    n: '10'-    k: '50'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 7*t^7 + 8*t^6 - 9*t^5 + 8*t^4 - 6*t^3 + 5*t^2 - 2*t-    + 1-  comment: $10_{50}$; $m=0$; determinant $53$, signature $-4$, alternating-- params:-    n: '10'-    k: '50'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 6*t^7 + 8*t^6 - 9*t^5 + 8*t^4 - 7*t^3 + 4*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{50}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '51'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 10*t^6 + 12*t^5 - 10*t^4 + 8*t^3 - 5*t^2-    + 2*t - 1-  comment: $10_{51}$; $m=-8$; determinant $67$, signature $2$, alternating-- params:-    n: '10'-    k: '51'-    knot: mirror-  number: -t^10 + 2*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 12*t^5 - 10*t^4 + 9*t^3 - 6*t^2-    + 3*t - 1-  comment: the mirror image of $10_{51}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '52'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 8*t^7 - 9*t^6 + 10*t^5 - 8*t^4 + 7*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{52}$; $m=-4$; determinant $59$, signature $-2$, alternating-- params:-    n: '10'-    k: '52'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 6*t^2 +-    3*t - 1-  comment: the mirror image of $10_{52}$; $m=-6$; signature $2$-- params:-    n: '10'-    k: '53'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 9*t^7 + 11*t^6 - 12*t^5 + 12*t^4 - 9*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{53}$; $m=2$; determinant $73$, signature $-4$, alternating-- params:-    n: '10'-    k: '53'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 9*t^7 + 12*t^6 - 12*t^5 + 11*t^4 - 9*t^3 + 5*t^2-    - 3*t + 1-  comment: the mirror image of $10_{53}$; $m=-12$; signature $4$-- params:-    n: '10'-    k: '54'-    knot: K-  number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 6*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{54}$; $m=-6$; determinant $47$, signature $2$, alternating-- params:-    n: '10'-    k: '54'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 8*t^5 - 6*t^4 + 6*t^3 - 4*t^2 +-    2*t - 1-  comment: the mirror image of $10_{54}$; $m=-4$; signature $-2$-- params:-    n: '10'-    k: '55'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 9*t^6 - 10*t^5 + 10*t^4 - 7*t^3 + 5*t^2 --    2*t + 1-  comment: $10_{55}$; $m=2$; determinant $61$, signature $-4$, alternating-- params:-    n: '10'-    k: '55'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 10*t^6 - 10*t^5 + 9*t^4 - 8*t^3 + 5*t^2 --    3*t + 1-  comment: the mirror image of $10_{55}$; $m=-12$; signature $4$-- params:-    n: '10'-    k: '56'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 7*t^3 + 5*t^2-    - 2*t + 1-  comment: $10_{56}$; $m=0$; determinant $65$, signature $-4$, alternating; the same-    polynomial as $10_{25}$-- params:-    n: '10'-    k: '56'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{56}$; $m=-10$; signature $4$; the same polynomial-    as the mirror image of $10_{25}$-- params:-    n: '10'-    k: '57'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 14*t^5 - 12*t^4 + 10*t^3 - 7*t^2-    + 3*t - 1-  comment: $10_{57}$; $m=-8$; determinant $79$, signature $2$, alternating-- params:-    n: '10'-    k: '57'-    knot: mirror-  number: -t^10 + 3*t^9 - 7*t^8 + 10*t^7 - 12*t^6 + 14*t^5 - 12*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: the mirror image of $10_{57}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '58'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 8*t^3 + 5*t^2-    - 2*t + 1-  comment: $10_{58}$; $m=-4$; determinant $65$, signature $0$, alternating-- params:-    n: '10'-    k: '58'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 8*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{58}$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '59'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 12*t^6 - 12*t^5 + 12*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{59}$; $m=-3$; determinant $75$, signature $-2$, alternating; the same-    polynomial as $10_{106}$-- params:-    n: '10'-    k: '59'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 12*t^5 + 12*t^4 - 10*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{59}$; $m=-7$; signature $2$; the same polynomial-    as the mirror image of $10_{106}$-- params:-    n: '10'-    k: '60'-    knot: K-  number: t^10 - 4*t^9 + 8*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 13*t^4 - 10*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{60}$; $m=-6$; determinant $85$, signature $0$, alternating; the same-    polynomial as the mirror image of $10_{86}$-- params:-    n: '10'-    k: '60'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 13*t^6 - 14*t^5 + 14*t^4 - 11*t^3 + 8*t^2-    - 4*t + 1-  comment: the mirror image of $10_{60}$; $m=-4$; signature $0$; the same polynomial-    as $10_{86}$-- params:-    n: '10'-    k: '61'-    knot: K-  number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 5*t^6 - 5*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - t-    + 1-  comment: $10_{61}$; $m=-2$; determinant $33$, signature $-4$, alternating-- params:-    n: '10'-    k: '61'-    knot: mirror-  number: t^10 - t^9 + 3*t^8 - 4*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{61}$; $m=-8$; signature $4$-- params:-    n: '10'-    k: '62'-    knot: K-  number: -t^10 + 2*t^9 - 3*t^8 + 6*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{62}$; $m=-9$; determinant $45$, signature $4$, alternating-- params:-    n: '10'-    k: '62'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 7*t^5 - 6*t^4 + 6*t^3 - 3*t^2 +-    2*t - 1-  comment: the mirror image of $10_{62}$; $m=-1$; signature $-4$-- params:-    n: '10'-    k: '63'-    knot: K-  number: t^10 - 3*t^9 + 4*t^8 - 7*t^7 + 9*t^6 - 9*t^5 + 9*t^4 - 7*t^3 + 5*t^2 - 2*t-    + 1-  comment: $10_{63}$; $m=2$; determinant $57$, signature $-4$, alternating-- params:-    n: '10'-    k: '63'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 9*t^5 + 9*t^4 - 7*t^3 + 4*t^2 - 3*t-    + 1-  comment: the mirror image of $10_{63}$; $m=-12$; signature $4$-- params:-    n: '10'-    k: '64'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 7*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2 - 2*t-    + 1-  comment: $10_{64}$; $m=-3$; determinant $51$, signature $-2$, alternating-- params:-    n: '10'-    k: '64'-    knot: mirror-  number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 4*t^2 - 2*t-    + 1-  comment: the mirror image of $10_{64}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '65'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 9*t^4 + 8*t^3 - 5*t^2-    + 2*t - 1-  comment: $10_{65}$; $m=-8$; determinant $63$, signature $2$, alternating-- params:-    n: '10'-    k: '65'-    knot: mirror-  number: -t^10 + 2*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 11*t^5 - 10*t^4 + 8*t^3 - 5*t^2-    + 3*t - 1-  comment: the mirror image of $10_{65}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '66'-    knot: K-  number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 12*t^6 - 13*t^5 + 11*t^4 - 8*t^3 + 6*t^2-    - 2*t + 1-  comment: $10_{66}$; $m=3$; determinant $75$, signature $-6$, alternating-- params:-    n: '10'-    k: '66'-    knot: mirror-  number: t^10 - 2*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 13*t^5 + 12*t^4 - 10*t^3 + 7*t^2-    - 4*t + 1-  comment: the mirror image of $10_{66}$; $m=-13$; signature $6$-- params:-    n: '10'-    k: '67'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 5*t^2-    - 2*t + 1-  comment: $10_{67}$; $m=-1$; determinant $63$, signature $-2$, alternating-- params:-    n: '10'-    k: '67'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 5*t^2-    - 3*t + 1-  comment: the mirror image of $10_{67}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '68'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 4*t^2 +-    2*t - 1-  comment: $10_{68}$; $m=-7$; determinant $57$, signature $0$, alternating-- params:-    n: '10'-    k: '68'-    knot: mirror-  number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 9*t^5 - 9*t^4 + 8*t^3 - 5*t^2 +-    3*t - 1-  comment: the mirror image of $10_{68}$; $m=-3$; signature $0$-- params:-    n: '10'-    k: '69'-    knot: K-  number: -t^10 + 4*t^9 - 7*t^8 + 11*t^7 - 14*t^6 + 15*t^5 - 13*t^4 + 11*t^3 - 7*t^2-    + 3*t - 1-  comment: $10_{69}$; $m=-8$; determinant $87$, signature $2$, alternating-- params:-    n: '10'-    k: '69'-    knot: mirror-  number: -t^10 + 3*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 15*t^5 - 14*t^4 + 11*t^3 - 7*t^2-    + 4*t - 1-  comment: the mirror image of $10_{69}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '70'-    knot: K-  number: t^10 - 2*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 11*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{70}$; $m=-7$; determinant $67$, signature $2$, alternating-- params:-    n: '10'-    k: '70'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 11*t^5 + 10*t^4 - 8*t^3 + 5*t^2-    - 2*t + 1-  comment: the mirror image of $10_{70}$; $m=-3$; signature $-2$-- params:-    n: '10'-    k: '71'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 13*t^5 - 12*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{71}$; $m=-5$; determinant $77$, signature $0$, alternating; chiral,-    yet $V(t)=V(1/t)$, so the mirror image has the same polynomial; the same polynomial-    as $10_{104}$, the mirror image of $10_{104}$-- params:-    n: '10'-    k: '71'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 13*t^5 - 12*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: the mirror image of $10_{71}$; $m=-5$; signature $0$; the same polynomial-    as $10_{71}$, $10_{104}$, the mirror image of $10_{104}$-- params:-    n: '10'-    k: '72'-    knot: K-  number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 12*t^6 - 12*t^5 + 11*t^4 - 8*t^3 + 5*t^2-    - 2*t + 1-  comment: $10_{72}$; $m=0$; determinant $73$, signature $-4$, alternating-- params:-    n: '10'-    k: '72'-    knot: mirror-  number: t^10 - 2*t^9 + 5*t^8 - 8*t^7 + 11*t^6 - 12*t^5 + 12*t^4 - 10*t^3 + 7*t^2-    - 4*t + 1-  comment: the mirror image of $10_{72}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '73'-    knot: K-  number: -t^10 + 4*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 14*t^5 - 13*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{73}$; $m=-8$; determinant $83$, signature $2$, alternating; the same-    polynomial as $10_{83}$-- params:-    n: '10'-    k: '73'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 13*t^6 + 14*t^5 - 13*t^4 + 11*t^3 - 7*t^2-    + 4*t - 1-  comment: the mirror image of $10_{73}$; $m=-2$; signature $-2$; the same polynomial-    as the mirror image of $10_{83}$-- params:-    n: '10'-    k: '74'-    knot: K-  number: t^10 - 2*t^9 + 4*t^8 - 8*t^7 + 9*t^6 - 10*t^5 + 11*t^4 - 8*t^3 + 6*t^2 --    3*t + 1-  comment: $10_{74}$; $m=-1$; determinant $63$, signature $-2$, alternating-- params:-    n: '10'-    k: '74'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 10*t^5 + 9*t^4 - 8*t^3 + 4*t^2 --    2*t + 1-  comment: the mirror image of $10_{74}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '75'-    knot: K-  number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 14*t^6 - 13*t^5 + 12*t^4 - 10*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{75}$; $m=-6$; determinant $81$, signature $0$, alternating-- params:-    n: '10'-    k: '75'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 12*t^6 - 13*t^5 + 14*t^4 - 10*t^3 + 7*t^2-    - 4*t + 1-  comment: the mirror image of $10_{75}$; $m=-4$; signature $0$-- params:-    n: '10'-    k: '76'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 9*t^6 - 10*t^5 + 8*t^4 - 6*t^3 + 4*t^2 --    t + 1-  comment: $10_{76}$; $m=0$; determinant $57$, signature $-4$, alternating-- params:-    n: '10'-    k: '76'-    knot: mirror-  number: t^10 - t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 10*t^5 + 9*t^4 - 8*t^3 + 6*t^2 - 3*t-    + 1-  comment: the mirror image of $10_{76}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '77'-    knot: K-  number: -t^10 + 2*t^9 - 4*t^8 + 8*t^7 - 9*t^6 + 11*t^5 - 10*t^4 + 8*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{77}$; $m=-8$; determinant $63$, signature $2$, alternating-- params:-    n: '10'-    k: '77'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 9*t^4 + 8*t^3 - 4*t^2-    + 2*t - 1-  comment: the mirror image of $10_{77}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '78'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 9*t^7 + 11*t^6 - 11*t^5 + 11*t^4 - 8*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{78}$; $m=0$; determinant $69$, signature $-4$, alternating-- params:-    n: '10'-    k: '78'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 11*t^5 + 11*t^4 - 9*t^3 + 5*t^2-    - 3*t + 1-  comment: the mirror image of $10_{78}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '79'-    knot: K-  number: -t^10 + 2*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 11*t^5 - 9*t^4 + 8*t^3 - 5*t^2 +-    2*t - 1-  comment: $10_{79}$; $m=-5$; determinant $61$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '80'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 8*t^3 + 6*t^2-    - 2*t + 1-  comment: $10_{80}$; $m=3$; determinant $71$, signature $-6$, alternating-- params:-    n: '10'-    k: '80'-    knot: mirror-  number: t^10 - 2*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 10*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{80}$; $m=-13$; signature $6$-- params:-    n: '10'-    k: '81'-    knot: K-  number: -t^10 + 3*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 15*t^5 - 13*t^4 + 11*t^3 - 7*t^2-    + 3*t - 1-  comment: $10_{81}$; $m=-5$; determinant $85$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$; the same polynomial as-    $10_{109}$-- params:-    n: '10'-    k: '82'-    knot: K-  number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 10*t^4 - 7*t^3 + 5*t^2-    - 3*t + 1-  comment: $10_{82}$; $m=-3$; determinant $63$, signature $-2$, alternating-- params:-    n: '10'-    k: '82'-    knot: mirror-  number: t^10 - 3*t^9 + 5*t^8 - 7*t^7 + 10*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 5*t^2-    - 3*t + 1-  comment: the mirror image of $10_{82}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '83'-    knot: K-  number: -t^10 + 4*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 14*t^5 - 13*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{83}$; $m=-8$; determinant $83$, signature $2$, alternating; the same-    polynomial as $10_{73}$-- params:-    n: '10'-    k: '83'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 13*t^6 + 14*t^5 - 13*t^4 + 11*t^3 - 7*t^2-    + 4*t - 1-  comment: the mirror image of $10_{83}$; $m=-2$; signature $-2$; the same polynomial-    as the mirror image of $10_{73}$-- params:-    n: '10'-    k: '84'-    knot: K-  number: -t^10 + 4*t^9 - 8*t^8 + 11*t^7 - 14*t^6 + 15*t^5 - 13*t^4 + 11*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{84}$; $m=-2$; determinant $87$, signature $-2$, alternating-- params:-    n: '10'-    k: '84'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 11*t^7 - 13*t^6 + 15*t^5 - 14*t^4 + 11*t^3 - 8*t^2-    + 4*t - 1-  comment: the mirror image of $10_{84}$; $m=-8$; signature $2$-- params:-    n: '10'-    k: '85'-    knot: K-  number: -t^10 + 3*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 9*t^5 - 9*t^4 + 7*t^3 - 5*t^2 +-    3*t - 1-  comment: $10_{85}$; $m=-9$; determinant $57$, signature $4$, alternating-- params:-    n: '10'-    k: '85'-    knot: mirror-  number: -t^10 + 3*t^9 - 5*t^8 + 7*t^7 - 9*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 4*t^2 +-    3*t - 1-  comment: the mirror image of $10_{85}$; $m=-1$; signature $-4$-- params:-    n: '10'-    k: '86'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 13*t^6 - 14*t^5 + 14*t^4 - 11*t^3 + 8*t^2-    - 4*t + 1-  comment: $10_{86}$; $m=-4$; determinant $85$, signature $0$, alternating; the same-    polynomial as the mirror image of $10_{60}$-- params:-    n: '10'-    k: '86'-    knot: mirror-  number: t^10 - 4*t^9 + 8*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 13*t^4 - 10*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{86}$; $m=-6$; signature $0$; the same polynomial-    as $10_{60}$-- params:-    n: '10'-    k: '87'-    knot: K-  number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 13*t^6 - 13*t^5 + 13*t^4 - 10*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{87}$; $m=-4$; determinant $81$, signature $0$, alternating-- params:-    n: '10'-    k: '87'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 13*t^6 - 13*t^5 + 13*t^4 - 10*t^3 + 7*t^2-    - 4*t + 1-  comment: the mirror image of $10_{87}$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '88'-    knot: K-  number: -t^10 + 4*t^9 - 8*t^8 + 13*t^7 - 16*t^6 + 17*t^5 - 16*t^4 + 13*t^3 - 8*t^2-    + 4*t - 1-  comment: $10_{88}$; $m=-5$; determinant $101$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '89'-    knot: K-  number: -t^10 + 5*t^9 - 9*t^8 + 13*t^7 - 16*t^6 + 17*t^5 - 15*t^4 + 12*t^3 - 7*t^2-    + 3*t - 1-  comment: $10_{89}$; $m=-8$; determinant $99$, signature $2$, alternating-- params:-    n: '10'-    k: '89'-    knot: mirror-  number: -t^10 + 3*t^9 - 7*t^8 + 12*t^7 - 15*t^6 + 17*t^5 - 16*t^4 + 13*t^3 - 9*t^2-    + 5*t - 1-  comment: the mirror image of $10_{89}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '90'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 13*t^5 + 12*t^4 - 10*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{90}$; $m=-4$; determinant $77$, signature $0$, alternating-- params:-    n: '10'-    k: '90'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 10*t^7 + 12*t^6 - 13*t^5 + 12*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{90}$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '91'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 11*t^6 + 13*t^5 - 11*t^4 + 9*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{91}$; $m=-5$; determinant $73$, signature $0$, alternating; chiral,-    yet $V(t)=V(1/t)$, so the mirror image has the same polynomial; the same polynomial-    as $10_{43}$-- params:-    n: '10'-    k: '91'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 11*t^6 + 13*t^5 - 11*t^4 + 9*t^3 - 6*t^2-    + 3*t - 1-  comment: the mirror image of $10_{91}$; $m=-5$; signature $0$; the same polynomial-    as $10_{43}$, $10_{91}$-- params:-    n: '10'-    k: '92'-    knot: K-  number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 14*t^6 - 15*t^5 + 14*t^4 - 10*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{92}$; $m=0$; determinant $89$, signature $-4$, alternating-- params:-    n: '10'-    k: '92'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 10*t^7 + 14*t^6 - 15*t^5 + 14*t^4 - 12*t^3 + 8*t^2-    - 4*t + 1-  comment: the mirror image of $10_{92}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '93'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 10*t^4 + 9*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{93}$; $m=-6$; determinant $67$, signature $2$, alternating-- params:-    n: '10'-    k: '93'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 10*t^6 + 11*t^5 - 10*t^4 + 8*t^3 - 5*t^2-    + 3*t - 1-  comment: the mirror image of $10_{93}$; $m=-4$; signature $-2$-- params:-    n: '10'-    k: '94'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 8*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{94}$; $m=-3$; determinant $71$, signature $-2$, alternating; the same-    polynomial as $10_{41}$-- params:-    n: '10'-    k: '94'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{94}$; $m=-7$; signature $2$; the same polynomial-    as the mirror image of $10_{41}$-- params:-    n: '10'-    k: '95'-    knot: K-  number: -t^10 + 4*t^9 - 8*t^8 + 12*t^7 - 14*t^6 + 16*t^5 - 14*t^4 + 11*t^3 - 7*t^2-    + 3*t - 1-  comment: $10_{95}$; $m=-8$; determinant $91$, signature $2$, alternating-- params:-    n: '10'-    k: '95'-    knot: mirror-  number: -t^10 + 3*t^9 - 7*t^8 + 11*t^7 - 14*t^6 + 16*t^5 - 14*t^4 + 12*t^3 - 8*t^2-    + 4*t - 1-  comment: the mirror image of $10_{95}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '96'-    knot: K-  number: t^10 - 4*t^9 + 9*t^8 - 12*t^7 + 15*t^6 - 16*t^5 + 14*t^4 - 11*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{96}$; $m=-6$; determinant $93$, signature $0$, alternating-- params:-    n: '10'-    k: '96'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 16*t^5 + 15*t^4 - 12*t^3 + 9*t^2-    - 4*t + 1-  comment: the mirror image of $10_{96}$; $m=-4$; signature $0$-- params:-    n: '10'-    k: '97'-    knot: K-  number: t^10 - 4*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 14*t^4 - 11*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{97}$; $m=-1$; determinant $87$, signature $-2$, alternating-- params:-    n: '10'-    k: '97'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 14*t^4 - 11*t^3 + 7*t^2-    - 4*t + 1-  comment: the mirror image of $10_{97}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '98'-    knot: K-  number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 12*t^6 - 14*t^5 + 13*t^4 - 9*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{98}$; $m=0$; determinant $81$, signature $-4$, alternating-- params:-    n: '10'-    k: '98'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 9*t^7 + 13*t^6 - 14*t^5 + 12*t^4 - 11*t^3 + 7*t^2-    - 3*t + 1-  comment: the mirror image of $10_{98}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '99'-    knot: K-  number: -t^10 + 3*t^9 - 7*t^8 + 10*t^7 - 12*t^6 + 15*t^5 - 12*t^4 + 10*t^3 - 7*t^2-    + 3*t - 1-  comment: $10_{99}$; $m=-5$; determinant $81$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '100'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 11*t^5 - 10*t^4 + 8*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{100}$; $m=-9$; determinant $65$, signature $4$, alternating-- params:-    n: '10'-    k: '100'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 9*t^4 + 8*t^3 - 5*t^2-    + 3*t - 1-  comment: the mirror image of $10_{100}$; $m=-1$; signature $-4$-- params:-    n: '10'-    k: '101'-    knot: K-  number: t^10 - 4*t^9 + 7*t^8 - 11*t^7 + 13*t^6 - 14*t^5 + 14*t^4 - 10*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{101}$; $m=2$; determinant $85$, signature $-4$, alternating-- params:-    n: '10'-    k: '101'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 10*t^7 + 14*t^6 - 14*t^5 + 13*t^4 - 11*t^3 + 7*t^2-    - 4*t + 1-  comment: the mirror image of $10_{101}$; $m=-12$; signature $4$-- params:-    n: '10'-    k: '102'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 12*t^5 + 12*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{102}$; $m=-4$; determinant $73$, signature $0$, alternating-- params:-    n: '10'-    k: '102'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 12*t^5 + 11*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{102}$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '103'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 11*t^6 + 13*t^5 - 12*t^4 + 9*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{103}$; $m=-8$; determinant $75$, signature $2$, alternating; the same-    polynomial as $10_{40}$-- params:-    n: '10'-    k: '103'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 12*t^6 + 13*t^5 - 11*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: the mirror image of $10_{103}$; $m=-2$; signature $-2$; the same polynomial-    as the mirror image of $10_{40}$-- params:-    n: '10'-    k: '104'-    knot: K-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 13*t^5 - 12*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: $10_{104}$; $m=-5$; determinant $77$, signature $0$, alternating; chiral,-    yet $V(t)=V(1/t)$, so the mirror image has the same polynomial; the same polynomial-    as $10_{71}$, the mirror image of $10_{71}$-- params:-    n: '10'-    k: '104'-    knot: mirror-  number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 13*t^5 - 12*t^4 + 10*t^3 - 6*t^2-    + 3*t - 1-  comment: the mirror image of $10_{104}$; $m=-5$; signature $0$; the same polynomial-    as $10_{71}$, the mirror image of $10_{71}$, $10_{104}$-- params:-    n: '10'-    k: '105'-    knot: K-  number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 15*t^6 - 15*t^5 + 14*t^4 - 11*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{105}$; $m=-3$; determinant $91$, signature $-2$, alternating-- params:-    n: '10'-    k: '105'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 15*t^5 + 15*t^4 - 12*t^3 + 8*t^2-    - 4*t + 1-  comment: the mirror image of $10_{105}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '106'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 12*t^6 - 12*t^5 + 12*t^4 - 9*t^3 + 6*t^2-    - 3*t + 1-  comment: $10_{106}$; $m=-3$; determinant $75$, signature $-2$, alternating; the-    same polynomial as $10_{59}$-- params:-    n: '10'-    k: '106'-    knot: mirror-  number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 12*t^5 + 12*t^4 - 10*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{106}$; $m=-7$; signature $2$; the same polynomial-    as the mirror image of $10_{59}$-- params:-    n: '10'-    k: '107'-    knot: K-  number: -t^10 + 4*t^9 - 8*t^8 + 12*t^7 - 15*t^6 + 16*t^5 - 14*t^4 + 12*t^3 - 7*t^2-    + 3*t - 1-  comment: $10_{107}$; $m=-5$; determinant $93$, signature $0$, alternating-- params:-    n: '10'-    k: '107'-    knot: mirror-  number: -t^10 + 3*t^9 - 7*t^8 + 12*t^7 - 14*t^6 + 16*t^5 - 15*t^4 + 12*t^3 - 8*t^2-    + 4*t - 1-  comment: the mirror image of $10_{107}$; $m=-5$; signature $0$-- params:-    n: '10'-    k: '108'-    knot: K-  number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 5*t^2-    + 3*t - 1-  comment: $10_{108}$; $m=-4$; determinant $63$, signature $-2$, alternating-- params:-    n: '10'-    k: '108'-    knot: mirror-  number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 10*t^5 - 10*t^4 + 8*t^3 - 5*t^2-    + 3*t - 1-  comment: the mirror image of $10_{108}$; $m=-6$; signature $2$-- params:-    n: '10'-    k: '109'-    knot: K-  number: -t^10 + 3*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 15*t^5 - 13*t^4 + 11*t^3 - 7*t^2-    + 3*t - 1-  comment: $10_{109}$; $m=-5$; determinant $85$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$; the same polynomial as-    $10_{81}$-- params:-    n: '10'-    k: '110'-    knot: K-  number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 13*t^6 - 14*t^5 + 13*t^4 - 10*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{110}$; $m=-3$; determinant $83$, signature $-2$, alternating-- params:-    n: '10'-    k: '110'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 10*t^7 + 13*t^6 - 14*t^5 + 13*t^4 - 11*t^3 + 7*t^2-    - 3*t + 1-  comment: the mirror image of $10_{110}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '111'-    knot: K-  number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 12*t^6 - 13*t^5 + 12*t^4 - 9*t^3 + 7*t^2-    - 3*t + 1-  comment: $10_{111}$; $m=0$; determinant $77$, signature $-4$, alternating-- params:-    n: '10'-    k: '111'-    knot: mirror-  number: t^10 - 3*t^9 + 7*t^8 - 9*t^7 + 12*t^6 - 13*t^5 + 12*t^4 - 10*t^3 + 6*t^2-    - 3*t + 1-  comment: the mirror image of $10_{111}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '112'-    knot: K-  number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 14*t^6 - 14*t^5 + 14*t^4 - 11*t^3 + 7*t^2-    - 4*t + 1-  comment: $10_{112}$; $m=-7$; determinant $87$, signature $2$, alternating-- params:-    n: '10'-    k: '112'-    knot: mirror-  number: t^10 - 4*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 14*t^4 - 10*t^3 + 7*t^2-    - 4*t + 1-  comment: the mirror image of $10_{112}$; $m=-3$; signature $-2$-- params:-    n: '10'-    k: '113'-    knot: K-  number: -t^10 + 5*t^9 - 10*t^8 + 14*t^7 - 18*t^6 + 19*t^5 - 17*t^4 + 14*t^3 - 8*t^2-    + 4*t - 1-  comment: $10_{113}$; $m=-2$; determinant $111$, signature $-2$, alternating-- params:-    n: '10'-    k: '113'-    knot: mirror-  number: -t^10 + 4*t^9 - 8*t^8 + 14*t^7 - 17*t^6 + 19*t^5 - 18*t^4 + 14*t^3 - 10*t^2-    + 5*t - 1-  comment: the mirror image of $10_{113}$; $m=-8$; signature $2$-- params:-    n: '10'-    k: '114'-    knot: K-  number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 15*t^6 - 15*t^5 + 15*t^4 - 11*t^3 + 7*t^2-    - 4*t + 1-  comment: $10_{114}$; $m=-6$; determinant $93$, signature $0$, alternating-- params:-    n: '10'-    k: '114'-    knot: mirror-  number: t^10 - 4*t^9 + 7*t^8 - 11*t^7 + 15*t^6 - 15*t^5 + 15*t^4 - 12*t^3 + 8*t^2-    - 4*t + 1-  comment: the mirror image of $10_{114}$; $m=-4$; signature $0$-- params:-    n: '10'-    k: '115'-    knot: K-  number: -t^10 + 4*t^9 - 9*t^8 + 14*t^7 - 17*t^6 + 19*t^5 - 17*t^4 + 14*t^3 - 9*t^2-    + 4*t - 1-  comment: $10_{115}$; $m=-5$; determinant $109$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '116'-    knot: K-  number: t^10 - 4*t^9 + 8*t^8 - 11*t^7 + 15*t^6 - 16*t^5 + 15*t^4 - 12*t^3 + 8*t^2-    - 4*t + 1-  comment: $10_{116}$; $m=-7$; determinant $95$, signature $2$, alternating-- params:-    n: '10'-    k: '116'-    knot: mirror-  number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 15*t^6 - 16*t^5 + 15*t^4 - 11*t^3 + 8*t^2-    - 4*t + 1-  comment: the mirror image of $10_{116}$; $m=-3$; signature $-2$-- params:-    n: '10'-    k: '117'-    knot: K-  number: -t^10 + 4*t^9 - 8*t^8 + 13*t^7 - 16*t^6 + 18*t^5 - 16*t^4 + 13*t^3 - 9*t^2-    + 4*t - 1-  comment: $10_{117}$; $m=-8$; determinant $103$, signature $2$, alternating-- params:-    n: '10'-    k: '117'-    knot: mirror-  number: -t^10 + 4*t^9 - 9*t^8 + 13*t^7 - 16*t^6 + 18*t^5 - 16*t^4 + 13*t^3 - 8*t^2-    + 4*t - 1-  comment: the mirror image of $10_{117}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '118'-    knot: K-  number: -t^10 + 4*t^9 - 8*t^8 + 12*t^7 - 15*t^6 + 17*t^5 - 15*t^4 + 12*t^3 - 8*t^2-    + 4*t - 1-  comment: $10_{118}$; $m=-5$; determinant $97$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '119'-    knot: K-  number: t^10 - 4*t^9 + 9*t^8 - 13*t^7 + 16*t^6 - 17*t^5 + 16*t^4 - 12*t^3 + 8*t^2-    - 4*t + 1-  comment: $10_{119}$; $m=-6$; determinant $101$, signature $0$, alternating-- params:-    n: '10'-    k: '119'-    knot: mirror-  number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 16*t^6 - 17*t^5 + 16*t^4 - 13*t^3 + 9*t^2-    - 4*t + 1-  comment: the mirror image of $10_{119}$; $m=-4$; signature $0$-- params:-    n: '10'-    k: '120'-    knot: K-  number: t^10 - 4*t^9 + 8*t^8 - 13*t^7 + 16*t^6 - 18*t^5 + 17*t^4 - 13*t^3 + 10*t^2-    - 4*t + 1-  comment: $10_{120}$; $m=2$; determinant $105$, signature $-4$, alternating-- params:-    n: '10'-    k: '120'-    knot: mirror-  number: t^10 - 4*t^9 + 10*t^8 - 13*t^7 + 17*t^6 - 18*t^5 + 16*t^4 - 13*t^3 + 8*t^2-    - 4*t + 1-  comment: the mirror image of $10_{120}$; $m=-12$; signature $4$-- params:-    n: '10'-    k: '121'-    knot: K-  number: -t^10 + 4*t^9 - 9*t^8 + 14*t^7 - 18*t^6 + 20*t^5 - 18*t^4 + 15*t^3 - 10*t^2-    + 5*t - 1-  comment: $10_{121}$; $m=-2$; determinant $115$, signature $-2$, alternating-- params:-    n: '10'-    k: '121'-    knot: mirror-  number: -t^10 + 5*t^9 - 10*t^8 + 15*t^7 - 18*t^6 + 20*t^5 - 18*t^4 + 14*t^3 - 9*t^2-    + 4*t - 1-  comment: the mirror image of $10_{121}$; $m=-8$; signature $2$-- params:-    n: '10'-    k: '122'-    knot: K-  number: t^10 - 4*t^9 + 8*t^8 - 13*t^7 + 17*t^6 - 17*t^5 + 17*t^4 - 13*t^3 + 9*t^2-    - 5*t + 1-  comment: $10_{122}$; $m=-6$; determinant $105$, signature $0$, alternating-- params:-    n: '10'-    k: '122'-    knot: mirror-  number: t^10 - 5*t^9 + 9*t^8 - 13*t^7 + 17*t^6 - 17*t^5 + 17*t^4 - 13*t^3 + 8*t^2-    - 4*t + 1-  comment: the mirror image of $10_{122}$; $m=-4$; signature $0$-- params:-    n: '10'-    k: '123'-    knot: K-  number: -t^10 + 5*t^9 - 10*t^8 + 15*t^7 - 19*t^6 + 21*t^5 - 19*t^4 + 15*t^3 - 10*t^2-    + 5*t - 1-  comment: $10_{123}$; $m=-5$; determinant $121$, signature $0$, alternating; amphichiral,-    so the mirror image is the same knot and $V(t)=V(1/t)$-- params:-    n: '10'-    k: '124'-    knot: K-  number: -t^6 + t^2 + 1-  comment: $10_{124}$, the torus knot $T(3,5)$; $m=4$; determinant $1$, signature-    $-8$, non-alternating-- params:-    n: '10'-    k: '124'-    knot: mirror-  number: t^6 + t^4 - 1-  comment: the mirror image of $10_{124}$; $m=-10$; signature $8$-- params:-    n: '10'-    k: '125'-    knot: K-  number: -t^8 + t^7 - t^6 + 2*t^5 - t^4 + 2*t^3 - t^2 + t - 1-  comment: $10_{125}$; $m=-4$; determinant $11$, signature $2$, non-alternating; chiral,-    yet $V(t)=V(1/t)$, so the mirror image has the same polynomial-- params:-    n: '10'-    k: '125'-    knot: mirror-  number: -t^8 + t^7 - t^6 + 2*t^5 - t^4 + 2*t^3 - t^2 + t - 1-  comment: the mirror image of $10_{125}$; $m=-4$; signature $-2$; the same polynomial-    as $10_{125}$-- params:-    n: '10'-    k: '126'-    knot: K-  number: -t^8 + 2*t^7 - 2*t^6 + 4*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + t - 1-  comment: $10_{126}$; $m=-8$; determinant $19$, signature $2$, non-alternating-- params:-    n: '10'-    k: '126'-    knot: mirror-  number: -t^8 + t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 4*t^3 - 2*t^2 + 2*t - 1-  comment: the mirror image of $10_{126}$; $m=0$; signature $-2$-- params:-    n: '10'-    k: '127'-    knot: K-  number: t^8 - 2*t^7 + 3*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 2*t + 2-  comment: $10_{127}$; $m=2$; determinant $29$, signature $-4$, non-alternating-- params:-    n: '10'-    k: '127'-    knot: mirror-  number: 2*t^8 - 2*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 3*t^2 - 2*t + 1-  comment: the mirror image of $10_{127}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '128'-    knot: K-  number: -t^7 + t^6 - 2*t^5 + 2*t^4 - t^3 + 2*t^2 - t + 1-  comment: $10_{128}$; $m=3$; determinant $11$, signature $-6$, non-alternating-- params:-    n: '10'-    k: '128'-    knot: mirror-  number: t^7 - t^6 + 2*t^5 - t^4 + 2*t^3 - 2*t^2 + t - 1-  comment: the mirror image of $10_{128}$; $m=-10$; signature $6$-- params:-    n: '10'-    k: '129'-    knot: K-  number: -t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 5*t^3 - 3*t^2 + 2*t - 1-  comment: $10_{129}$; $m=-3$; determinant $25$, signature $0$, non-alternating; the-    same polynomial as the mirror image of $8_8$-- params:-    n: '10'-    k: '129'-    knot: mirror-  number: -t^8 + 2*t^7 - 3*t^6 + 5*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 2*t - 1-  comment: the mirror image of $10_{129}$; $m=-5$; signature $0$; the same polynomial-    as $8_8$-- params:-    n: '10'-    k: '130'-    knot: K-  number: -t^8 + 2*t^7 - 2*t^6 + 3*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + t - 1-  comment: $10_{130}$; $m=-7$; determinant $17$, signature $0$, non-alternating-- params:-    n: '10'-    k: '130'-    knot: mirror-  number: -t^8 + t^7 - 2*t^6 + 3*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + 2*t - 1-  comment: the mirror image of $10_{130}$; $m=-1$; signature $0$-- params:-    n: '10'-    k: '131'-    knot: K-  number: t^8 - 2*t^7 + 3*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 5*t^2 - 3*t + 2-  comment: $10_{131}$; $m=1$; determinant $31$, signature $-2$, non-alternating-- params:-    n: '10'-    k: '131'-    knot: mirror-  number: 2*t^8 - 3*t^7 + 5*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 3*t^2 - 2*t + 1-  comment: the mirror image of $10_{131}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '132'-    knot: K-  number: t^5 + t^3 - t^2 + t - 1-  comment: $10_{132}$; $m=-7$; determinant $5$, signature $0$, non-alternating; the-    same polynomial as the mirror image of $5_1$-- params:-    n: '10'-    k: '132'-    knot: mirror-  number: -t^5 + t^4 - t^3 + t^2 + 1-  comment: the mirror image of $10_{132}$; $m=2$; signature $0$; the same polynomial-    as $5_1$-- params:-    n: '10'-    k: '133'-    knot: K-  number: t^8 - 2*t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - t + 1-  comment: $10_{133}$; $m=1$; determinant $19$, signature $-2$, non-alternating-- params:-    n: '10'-    k: '133'-    knot: mirror-  number: t^8 - t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - 2*t + 1-  comment: the mirror image of $10_{133}$; $m=-9$; signature $2$-- params:-    n: '10'-    k: '134'-    knot: K-  number: t^8 - 3*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - t + 1-  comment: $10_{134}$; $m=3$; determinant $23$, signature $-6$, non-alternating-- params:-    n: '10'-    k: '134'-    knot: mirror-  number: t^8 - t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 3*t + 1-  comment: the mirror image of $10_{134}$; $m=-11$; signature $6$-- params:-    n: '10'-    k: '135'-    knot: K-  number: -t^8 + 2*t^7 - 4*t^6 + 6*t^5 - 6*t^4 + 7*t^3 - 5*t^2 + 4*t - 2-  comment: $10_{135}$; $m=-3$; determinant $37$, signature $0$, non-alternating-- params:-    n: '10'-    k: '135'-    knot: mirror-  number: -2*t^8 + 4*t^7 - 5*t^6 + 7*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 2*t - 1-  comment: the mirror image of $10_{135}$; $m=-5$; signature $0$-- params:-    n: '10'-    k: '136'-    knot: K-  number: t^7 - 2*t^6 + 2*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + 2*t - 1-  comment: $10_{136}$; $m=-4$; determinant $15$, signature $2$, non-alternating-- params:-    n: '10'-    k: '136'-    knot: mirror-  number: -t^7 + 2*t^6 - 2*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - 2*t + 1-  comment: the mirror image of $10_{136}$; $m=-3$; signature $-2$-- params:-    n: '10'-    k: '137'-    knot: K-  number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 4*t^2 - 2*t + 1-  comment: $10_{137}$; $m=-2$; determinant $25$, signature $0$, non-alternating; the-    same polynomial as the mirror image of $10_{155}$-- params:-    n: '10'-    k: '137'-    knot: mirror-  number: t^8 - 2*t^7 + 4*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: the mirror image of $10_{137}$; $m=-6$; signature $0$; the same polynomial-    as $10_{155}$-- params:-    n: '10'-    k: '138'-    knot: K-  number: 2*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t + 1-  comment: $10_{138}$; $m=-3$; determinant $35$, signature $-2$, non-alternating-- params:-    n: '10'-    k: '138'-    knot: mirror-  number: t^8 - 2*t^7 + 4*t^6 - 5*t^5 + 6*t^4 - 6*t^3 + 5*t^2 - 4*t + 2-  comment: the mirror image of $10_{138}$; $m=-5$; signature $2$-- params:-    n: '10'-    k: '139'-    knot: K-  number: -t^8 + t^7 - t^6 + t^5 - t^4 + t^2 + 1-  comment: $10_{139}$; $m=4$; determinant $3$, signature $-6$, non-alternating-- params:-    n: '10'-    k: '139'-    knot: mirror-  number: t^8 + t^6 - t^4 + t^3 - t^2 + t - 1-  comment: the mirror image of $10_{139}$; $m=-12$; signature $6$-- params:-    n: '10'-    k: '140'-    knot: K-  number: -t^7 + t^6 - t^5 + 2*t^4 - t^3 + t^2 - t + 1-  comment: $10_{140}$; $m=0$; determinant $9$, signature $0$, non-alternating-- params:-    n: '10'-    k: '140'-    knot: mirror-  number: t^7 - t^6 + t^5 - t^4 + 2*t^3 - t^2 + t - 1-  comment: the mirror image of $10_{140}$; $m=-7$; signature $0$-- params:-    n: '10'-    k: '141'-    knot: K-  number: t^8 - 2*t^7 + 2*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t + 1-  comment: $10_{141}$; $m=-2$; determinant $21$, signature $0$, non-alternating-- params:-    n: '10'-    k: '141'-    knot: mirror-  number: t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 2*t^2 - 2*t + 1-  comment: the mirror image of $10_{141}$; $m=-6$; signature $0$-- params:-    n: '10'-    k: '142'-    knot: K-  number: -2*t^7 + 2*t^6 - 2*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t + 1-  comment: $10_{142}$; $m=3$; determinant $15$, signature $-6$, non-alternating-- params:-    n: '10'-    k: '142'-    knot: mirror-  number: t^7 - t^6 + 2*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + 2*t - 2-  comment: the mirror image of $10_{142}$; $m=-10$; signature $6$-- params:-    n: '10'-    k: '143'-    knot: K-  number: -t^8 + 3*t^7 - 3*t^6 + 5*t^5 - 5*t^4 + 4*t^3 - 3*t^2 + 2*t - 1-  comment: $10_{143}$; $m=-8$; determinant $27$, signature $2$, non-alternating-- params:-    n: '10'-    k: '143'-    knot: mirror-  number: -t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + 3*t - 1-  comment: the mirror image of $10_{143}$; $m=0$; signature $-2$-- params:-    n: '10'-    k: '144'-    knot: K-  number: t^8 - 3*t^7 + 5*t^6 - 6*t^5 + 7*t^4 - 7*t^3 + 5*t^2 - 3*t + 2-  comment: $10_{144}$; $m=-1$; determinant $39$, signature $-2$, non-alternating-- params:-    n: '10'-    k: '144'-    knot: mirror-  number: 2*t^8 - 3*t^7 + 5*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 5*t^2 - 3*t + 1-  comment: the mirror image of $10_{144}$; $m=-7$; signature $2$-- params:-    n: '10'-    k: '145'-    knot: K-  number: t^8 + t^3 - t^2 + t - 1-  comment: $10_{145}$; $m=-10$; determinant $3$, signature $2$, non-alternating-- params:-    n: '10'-    k: '145'-    knot: mirror-  number: -t^8 + t^7 - t^6 + t^5 + 1-  comment: the mirror image of $10_{145}$; $m=2$; signature $-2$-- params:-    n: '10'-    k: '146'-    knot: K-  number: -t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 6*t^4 + 5*t^3 - 4*t^2 + 3*t - 1-  comment: $10_{146}$; $m=-5$; determinant $33$, signature $0$, non-alternating-- params:-    n: '10'-    k: '146'-    knot: mirror-  number: -t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $10_{146}$; $m=-3$; signature $0$-- params:-    n: '10'-    k: '147'-    knot: K-  number: t^8 - 3*t^7 + 4*t^6 - 4*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: $10_{147}$; $m=-3$; determinant $27$, signature $-2$, non-alternating-- params:-    n: '10'-    k: '147'-    knot: mirror-  number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 5*t^4 - 4*t^3 + 4*t^2 - 3*t + 1-  comment: the mirror image of $10_{147}$; $m=-5$; signature $2$-- params:-    n: '10'-    k: '148'-    knot: K-  number: -t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 5*t^4 + 5*t^3 - 4*t^2 + 2*t - 1-  comment: $10_{148}$; $m=-8$; determinant $31$, signature $2$, non-alternating-- params:-    n: '10'-    k: '148'-    knot: mirror-  number: -t^8 + 2*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 6*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $10_{148}$; $m=0$; signature $-2$-- params:-    n: '10'-    k: '149'-    knot: K-  number: t^8 - 3*t^7 + 5*t^6 - 7*t^5 + 7*t^4 - 7*t^3 + 6*t^2 - 3*t + 2-  comment: $10_{149}$; $m=2$; determinant $41$, signature $-4$, non-alternating-- params:-    n: '10'-    k: '149'-    knot: mirror-  number: 2*t^8 - 3*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 7*t^3 + 5*t^2 - 3*t + 1-  comment: the mirror image of $10_{149}$; $m=-10$; signature $4$-- params:-    n: '10'-    k: '150'-    knot: K-  number: t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 4*t^2 - 2*t + 1-  comment: $10_{150}$; $m=0$; determinant $29$, signature $-4$, non-alternating-- params:-    n: '10'-    k: '150'-    knot: mirror-  number: t^8 - 2*t^7 + 4*t^6 - 4*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 3*t + 1-  comment: the mirror image of $10_{150}$; $m=-8$; signature $4$-- params:-    n: '10'-    k: '151'-    knot: K-  number: -t^8 + 3*t^7 - 5*t^6 + 7*t^5 - 7*t^4 + 8*t^3 - 6*t^2 + 4*t - 2-  comment: $10_{151}$; $m=-6$; determinant $43$, signature $2$, non-alternating-- params:-    n: '10'-    k: '151'-    knot: mirror-  number: -2*t^8 + 4*t^7 - 6*t^6 + 8*t^5 - 7*t^4 + 7*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $10_{151}$; $m=-2$; signature $-2$-- params:-    n: '10'-    k: '152'-    knot: K-  number: t^9 - 2*t^8 + 2*t^7 - 3*t^6 + 2*t^5 - 2*t^4 + t^3 + t^2 + 1-  comment: $10_{152}$; $m=4$; determinant $11$, signature $-6$, non-alternating-- params:-    n: '10'-    k: '152'-    knot: mirror-  number: t^9 + t^7 + t^6 - 2*t^5 + 2*t^4 - 3*t^3 + 2*t^2 - 2*t + 1-  comment: the mirror image of $10_{152}$; $m=-13$; signature $6$-- params:-    n: '10'-    k: '153'-    knot: K-  number: -t^9 + t^8 - t^7 + t^6 + t^5 + t^3 - t^2 + t - 1-  comment: $10_{153}$; $m=-5$; determinant $1$, signature $0$, non-alternating-- params:-    n: '10'-    k: '153'-    knot: mirror-  number: -t^9 + t^8 - t^7 + t^6 + t^4 + t^3 - t^2 + t - 1-  comment: the mirror image of $10_{153}$; $m=-4$; signature $0$-- params:-    n: '10'-    k: '154'-    knot: K-  number: t^9 - 2*t^8 + 2*t^7 - 3*t^6 + 2*t^5 - 2*t^4 + 2*t^3 + 1-  comment: $10_{154}$; $m=3$; determinant $13$, signature $-4$, non-alternating-- params:-    n: '10'-    k: '154'-    knot: mirror-  number: t^9 + 2*t^6 - 2*t^5 + 2*t^4 - 3*t^3 + 2*t^2 - 2*t + 1-  comment: the mirror image of $10_{154}$; $m=-12$; signature $4$-- params:-    n: '10'-    k: '155'-    knot: K-  number: t^8 - 2*t^7 + 4*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t + 1-  comment: $10_{155}$; $m=-6$; determinant $25$, signature $0$, non-alternating; the-    same polynomial as the mirror image of $10_{137}$-- params:-    n: '10'-    k: '155'-    knot: mirror-  number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 4*t^2 - 2*t + 1-  comment: the mirror image of $10_{155}$; $m=-2$; signature $0$; the same polynomial-    as $10_{137}$-- params:-    n: '10'-    k: '156'-    knot: K-  number: -t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 5*t^2 + 3*t - 1-  comment: $10_{156}$; $m=-6$; determinant $35$, signature $2$, non-alternating; the-    same polynomial as $8_{16}$-- params:-    n: '10'-    k: '156'-    knot: mirror-  number: -t^8 + 3*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 3*t - 1-  comment: the mirror image of $10_{156}$; $m=-2$; signature $-2$; the same polynomial-    as the mirror image of $8_{16}$-- params:-    n: '10'-    k: '157'-    knot: K-  number: 2*t^8 - 4*t^7 + 7*t^6 - 8*t^5 + 9*t^4 - 8*t^3 + 6*t^2 - 4*t + 1-  comment: $10_{157}$; $m=-10$; determinant $49$, signature $4$, non-alternating-- params:-    n: '10'-    k: '157'-    knot: mirror-  number: t^8 - 4*t^7 + 6*t^6 - 8*t^5 + 9*t^4 - 8*t^3 + 7*t^2 - 4*t + 2-  comment: the mirror image of $10_{157}$; $m=2$; signature $-4$-- params:-    n: '10'-    k: '158'-    knot: K-  number: 2*t^8 - 4*t^7 + 6*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 6*t^2 - 3*t + 1-  comment: $10_{158}$; $m=-4$; determinant $45$, signature $0$, non-alternating-- params:-    n: '10'-    k: '158'-    knot: mirror-  number: t^8 - 3*t^7 + 6*t^6 - 7*t^5 + 8*t^4 - 8*t^3 + 6*t^2 - 4*t + 2-  comment: the mirror image of $10_{158}$; $m=-4$; signature $0$-- params:-    n: '10'-    k: '159'-    knot: K-  number: -t^8 + 3*t^7 - 5*t^6 + 6*t^5 - 7*t^4 + 7*t^3 - 5*t^2 + 4*t - 1-  comment: $10_{159}$; $m=0$; determinant $39$, signature $-2$, non-alternating-- params:-    n: '10'-    k: '159'-    knot: mirror-  number: -t^8 + 4*t^7 - 5*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 5*t^2 + 3*t - 1-  comment: the mirror image of $10_{159}$; $m=-8$; signature $2$-- params:-    n: '10'-    k: '160'-    knot: K-  number: -2*t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t + 1-  comment: $10_{160}$; $m=0$; determinant $21$, signature $-4$, non-alternating-- params:-    n: '10'-    k: '160'-    knot: mirror-  number: t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 4*t^3 - 3*t^2 + 3*t - 2-  comment: the mirror image of $10_{160}$; $m=-7$; signature $4$-- params:-    n: '10'-    k: '161'-    knot: K-  number: -t^8 + t^7 - t^6 + t^5 - t^4 + t^3 + 1-  comment: $10_{161}$, the Perko pair, listed twice by Rolfsen as $10_{161}$ and $10_{162}$;-    $m=3$; determinant $5$, signature $-4$, non-alternating-- params:-    n: '10'-    k: '161'-    knot: mirror-  number: t^8 + t^5 - t^4 + t^3 - t^2 + t - 1-  comment: the mirror image of $10_{161}$, the Perko pair, listed twice by Rolfsen-    as $10_{161}$ and $10_{162}$; $m=-11$; signature $4$-- params:-    n: '10'-    k: '162'-    knot: K-  number: 2*t^8 - 3*t^7 + 5*t^6 - 6*t^5 + 6*t^4 - 6*t^3 + 4*t^2 - 2*t + 1-  comment: $10_{162}$; $m=-7$; determinant $35$, signature $2$, non-alternating-- params:-    n: '10'-    k: '162'-    knot: mirror-  number: t^8 - 2*t^7 + 4*t^6 - 6*t^5 + 6*t^4 - 6*t^3 + 5*t^2 - 3*t + 2-  comment: the mirror image of $10_{162}$; $m=-1$; signature $-2$-- params:-    n: '10'-    k: '163'-    knot: K-  number: -2*t^8 + 5*t^7 - 7*t^6 + 9*t^5 - 9*t^4 + 8*t^3 - 6*t^2 + 4*t - 1-  comment: $10_{163}$; $m=-2$; determinant $51$, signature $-2$, non-alternating-- params:-    n: '10'-    k: '163'-    knot: mirror-  number: -t^8 + 4*t^7 - 6*t^6 + 8*t^5 - 9*t^4 + 9*t^3 - 7*t^2 + 5*t - 2-  comment: the mirror image of $10_{163}$; $m=-6$; signature $2$-- params:-    n: '10'-    k: '164'-    knot: K-  number: -2*t^8 + 5*t^7 - 6*t^6 + 8*t^5 - 8*t^4 + 7*t^3 - 5*t^2 + 3*t - 1-  comment: $10_{164}$; $m=-5$; determinant $45$, signature $0$, non-alternating-- params:-    n: '10'-    k: '164'-    knot: mirror-  number: -t^8 + 3*t^7 - 5*t^6 + 7*t^5 - 8*t^4 + 8*t^3 - 6*t^2 + 5*t - 2-  comment: the mirror image of $10_{164}$; $m=-3$; signature $0$-- params:-    n: '10'-    k: '165'-    knot: K-  number: 2*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 3*t + 1-  comment: $10_{165}$; $m=-9$; determinant $39$, signature $2$, non-alternating-- params:-    n: '10'-    k: '165'-    knot: mirror-  number: t^8 - 3*t^7 + 4*t^6 - 6*t^5 + 7*t^4 - 6*t^3 + 6*t^2 - 4*t + 2-  comment: the mirror image of $10_{165}$; $m=1$; signature $-2$+  '0':+    '1':+      K:+        number: '1'+        comment: $0_1$, the unknot; $V=1$, and whether any nontrivial knot has $V=1$+          is an open question+        equals: HREF{One}+  '3':+    '1':+      K:+        number: -t^3 + t^2 + 1+        comment: $3_1$, the right-handed trefoil, the torus knot $T(2,3)$; $m=1$;+          determinant $3$, signature $-2$, alternating+      mirror:+        number: t^3 + t - 1+        comment: the mirror image of $3_1$, the left-handed trefoil; $m=-4$; signature+          $2$+  '4':+    '1':+      K:+        number: t^4 - t^3 + t^2 - t + 1+        comment: $4_1$, the figure-eight knot; $m=-2$; determinant $5$, signature+          $0$, alternating; amphichiral, so the mirror image is the same knot and+          $V(t)=V(1/t)$+  '5':+    '1':+      K:+        number: -t^5 + t^4 - t^3 + t^2 + 1+        comment: $5_1$, the cinquefoil, the torus knot $T(2,5)$; $m=2$; determinant+          $5$, signature $-4$, alternating; the same polynomial as the mirror image+          of $10_{132}$+      mirror:+        number: t^5 + t^3 - t^2 + t - 1+        comment: the mirror image of $5_1$, the cinquefoil; $m=-7$; signature $4$;+          the same polynomial as $10_{132}$+    '2':+      K:+        number: -t^5 + t^4 - t^3 + 2*t^2 - t + 1+        comment: $5_2$, the three-twist knot; $m=1$; determinant $7$, signature $-2$,+          alternating+      mirror:+        number: t^5 - t^4 + 2*t^3 - t^2 + t - 1+        comment: the mirror image of $5_2$, the three-twist knot; $m=-6$; signature+          $2$+  '6':+    '1':+      K:+        number: t^6 - t^5 + t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $6_1$, the stevedore knot; $m=-2$; determinant $9$, signature $0$,+          alternating+      mirror:+        number: t^6 - t^5 + 2*t^4 - 2*t^3 + t^2 - t + 1+        comment: the mirror image of $6_1$, the stevedore knot; $m=-4$; signature+          $0$+    '2':+      K:+        number: t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $6_2$, the Miller Institute knot; $m=-1$; determinant $11$, signature+          $-2$, alternating+      mirror:+        number: t^6 - t^5 + 2*t^4 - 2*t^3 + 2*t^2 - 2*t + 1+        comment: the mirror image of $6_2$, the Miller Institute knot; $m=-5$; signature+          $2$+    '3':+      K:+        number: -t^6 + 2*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + 2*t - 1+        comment: $6_3$; $m=-3$; determinant $13$, signature $0$, alternating; amphichiral,+          so the mirror image is the same knot and $V(t)=V(1/t)$+  '7':+    '1':+      K:+        number: -t^7 + t^6 - t^5 + t^4 - t^3 + t^2 + 1+        comment: $7_1$, the torus knot $T(2,7)$; $m=3$; determinant $7$, signature+          $-6$, alternating+      mirror:+        number: t^7 + t^5 - t^4 + t^3 - t^2 + t - 1+        comment: the mirror image of $7_1$; $m=-10$; signature $6$+    '2':+      K:+        number: -t^7 + t^6 - t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $7_2$; $m=1$; determinant $11$, signature $-2$, alternating+      mirror:+        number: t^7 - t^6 + 2*t^5 - 2*t^4 + 2*t^3 - t^2 + t - 1+        comment: the mirror image of $7_2$; $m=-8$; signature $2$+    '3':+      K:+        number: -t^7 + t^6 - 2*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $7_3$; $m=2$; determinant $13$, signature $-4$, alternating+      mirror:+        number: t^7 - t^6 + 2*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + t - 1+        comment: the mirror image of $7_3$; $m=-9$; signature $4$+    '4':+      K:+        number: -t^7 + t^6 - 2*t^5 + 3*t^4 - 2*t^3 + 3*t^2 - 2*t + 1+        comment: $7_4$, the endless knot; $m=1$; determinant $15$, signature $-2$,+          alternating+      mirror:+        number: t^7 - 2*t^6 + 3*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + t - 1+        comment: the mirror image of $7_4$, the endless knot; $m=-8$; signature $2$+    '5':+      K:+        number: -t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - t + 1+        comment: $7_5$; $m=2$; determinant $17$, signature $-4$, alternating+      mirror:+        number: t^7 - t^6 + 3*t^5 - 3*t^4 + 3*t^3 - 3*t^2 + 2*t - 1+        comment: the mirror image of $7_5$; $m=-9$; signature $4$+    '6':+      K:+        number: -t^7 + 2*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t + 1+        comment: $7_6$; $m=-1$; determinant $19$, signature $-2$, alternating+      mirror:+        number: t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 4*t^3 - 3*t^2 + 2*t - 1+        comment: the mirror image of $7_6$; $m=-6$; signature $2$+    '7':+      K:+        number: -t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t + 1+        comment: $7_7$; $m=-4$; determinant $21$, signature $0$, alternating+      mirror:+        number: t^7 - 2*t^6 + 3*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 3*t - 1+        comment: the mirror image of $7_7$; $m=-3$; signature $0$+  '8':+    '1':+      K:+        number: t^8 - t^7 + t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $8_1$; $m=-2$; determinant $13$, signature $0$, alternating+      mirror:+        number: t^8 - t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + t^2 - t + 1+        comment: the mirror image of $8_1$; $m=-6$; signature $0$+    '2':+      K:+        number: t^8 - 2*t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $8_2$; $m=0$; determinant $17$, signature $-4$, alternating+      mirror:+        number: t^8 - t^7 + 2*t^6 - 2*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - 2*t + 1+        comment: the mirror image of $8_2$; $m=-8$; signature $4$+    '3':+      K:+        number: t^8 - t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - t + 1+        comment: $8_3$; $m=-4$; determinant $17$, signature $0$, alternating; amphichiral,+          so the mirror image is the same knot and $V(t)=V(1/t)$+    '4':+      K:+        number: t^8 - t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - 2*t + 1+        comment: $8_4$; $m=-5$; determinant $19$, signature $2$, alternating+      mirror:+        number: t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - t + 1+        comment: the mirror image of $8_4$; $m=-3$; signature $-2$+    '5':+      K:+        number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - t + 1+        comment: $8_5$; $m=0$; determinant $21$, signature $-4$, alternating+      mirror:+        number: t^8 - t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 4*t^3 + 3*t^2 - 2*t + 1+        comment: the mirror image of $8_5$; $m=-8$; signature $4$+    '6':+      K:+        number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - t + 1+        comment: $8_6$; $m=-1$; determinant $23$, signature $-2$, alternating+      mirror:+        number: t^8 - t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t + 1+        comment: the mirror image of $8_6$; $m=-7$; signature $2$+    '7':+      K:+        number: -t^8 + 2*t^7 - 2*t^6 + 4*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 2*t - 1+        comment: $8_7$; $m=-6$; determinant $23$, signature $2$, alternating+      mirror:+        number: -t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 4*t^3 - 2*t^2 + 2*t - 1+        comment: the mirror image of $8_7$; $m=-2$; signature $-2$+    '8':+      K:+        number: -t^8 + 2*t^7 - 3*t^6 + 5*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 2*t - 1+        comment: $8_8$; $m=-5$; determinant $25$, signature $0$, alternating; the+          same polynomial as the mirror image of $10_{129}$+      mirror:+        number: -t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 5*t^3 - 3*t^2 + 2*t - 1+        comment: the mirror image of $8_8$; $m=-3$; signature $0$; the same polynomial+          as $10_{129}$+    '9':+      K:+        number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t + 1+        comment: $8_9$; $m=-4$; determinant $25$, signature $0$, alternating; amphichiral,+          so the mirror image is the same knot and $V(t)=V(1/t)$+    '10':+      K:+        number: -t^8 + 2*t^7 - 3*t^6 + 5*t^5 - 4*t^4 + 5*t^3 - 4*t^2 + 2*t - 1+        comment: $8_{10}$; $m=-6$; determinant $27$, signature $2$, alternating+      mirror:+        number: -t^8 + 2*t^7 - 4*t^6 + 5*t^5 - 4*t^4 + 5*t^3 - 3*t^2 + 2*t - 1+        comment: the mirror image of $8_{10}$; $m=-2$; signature $-2$+    '11':+      K:+        number: t^8 - 2*t^7 + 3*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 4*t^2 - 2*t + 1+        comment: $8_{11}$; $m=-1$; determinant $27$, signature $-2$, alternating+      mirror:+        number: t^8 - 2*t^7 + 4*t^6 - 4*t^5 + 5*t^4 - 5*t^3 + 3*t^2 - 2*t + 1+        comment: the mirror image of $8_{11}$; $m=-7$; signature $2$+    '12':+      K:+        number: t^8 - 2*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 2*t + 1+        comment: $8_{12}$; $m=-4$; determinant $29$, signature $0$, alternating; amphichiral,+          so the mirror image is the same knot and $V(t)=V(1/t)$+    '13':+      K:+        number: -t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + 2*t - 1+        comment: $8_{13}$; $m=-5$; determinant $29$, signature $0$, alternating+      mirror:+        number: -t^8 + 2*t^7 - 3*t^6 + 5*t^5 - 5*t^4 + 5*t^3 - 4*t^2 + 3*t - 1+        comment: the mirror image of $8_{13}$; $m=-3$; signature $0$+    '14':+      K:+        number: t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t + 1+        comment: $8_{14}$; $m=-1$; determinant $31$, signature $-2$, alternating+      mirror:+        number: t^8 - 2*t^7 + 4*t^6 - 5*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 3*t + 1+        comment: the mirror image of $8_{14}$; $m=-7$; signature $2$+    '15':+      K:+        number: t^8 - 3*t^7 + 4*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 5*t^2 - 2*t + 1+        comment: $8_{15}$; $m=2$; determinant $33$, signature $-4$, alternating+      mirror:+        number: t^8 - 2*t^7 + 5*t^6 - 5*t^5 + 6*t^4 - 6*t^3 + 4*t^2 - 3*t + 1+        comment: the mirror image of $8_{15}$; $m=-10$; signature $4$+    '16':+      K:+        number: -t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 5*t^2 + 3*t - 1+        comment: $8_{16}$; $m=-6$; determinant $35$, signature $2$, alternating; the+          same polynomial as $10_{156}$+      mirror:+        number: -t^8 + 3*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 3*t - 1+        comment: the mirror image of $8_{16}$; $m=-2$; signature $-2$; the same polynomial+          as the mirror image of $10_{156}$+    '17':+      K:+        number: t^8 - 3*t^7 + 5*t^6 - 6*t^5 + 7*t^4 - 6*t^3 + 5*t^2 - 3*t + 1+        comment: $8_{17}$; $m=-4$; determinant $37$, signature $0$, alternating; amphichiral,+          so the mirror image is the same knot and $V(t)=V(1/t)$+    '18':+      K:+        number: t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 9*t^4 - 7*t^3 + 6*t^2 - 4*t + 1+        comment: $8_{18}$, the Carrick mat; $m=-4$; determinant $45$, signature $0$,+          alternating; amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '19':+      K:+        number: -t^5 + t^2 + 1+        comment: $8_{19}$, the torus knot $T(3,4)$; $m=3$; determinant $3$, signature+          $-6$, non-alternating+      mirror:+        number: t^5 + t^3 - 1+        comment: the mirror image of $8_{19}$; $m=-8$; signature $6$+    '20':+      K:+        number: -t^6 + 2*t^5 - t^4 + 2*t^3 - t^2 + t - 1+        comment: $8_{20}$; $m=-5$; determinant $9$, signature $0$, non-alternating+      mirror:+        number: -t^6 + t^5 - t^4 + 2*t^3 - t^2 + 2*t - 1+        comment: the mirror image of $8_{20}$; $m=-1$; signature $0$+    '21':+      K:+        number: t^6 - 2*t^5 + 2*t^4 - 3*t^3 + 3*t^2 - 2*t + 2+        comment: $8_{21}$; $m=1$; determinant $15$, signature $-2$, non-alternating+      mirror:+        number: 2*t^6 - 2*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - 2*t + 1+        comment: the mirror image of $8_{21}$; $m=-7$; signature $2$+  '9':+    '1':+      K:+        number: -t^9 + t^8 - t^7 + t^6 - t^5 + t^4 - t^3 + t^2 + 1+        comment: $9_1$, the torus knot $T(2,9)$; $m=4$; determinant $9$, signature+          $-8$, alternating+      mirror:+        number: t^9 + t^7 - t^6 + t^5 - t^4 + t^3 - t^2 + t - 1+        comment: the mirror image of $9_1$; $m=-13$; signature $8$+    '2':+      K:+        number: -t^9 + t^8 - t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $9_2$; $m=1$; determinant $15$, signature $-2$, alternating+      mirror:+        number: t^9 - t^8 + 2*t^7 - 2*t^6 + 2*t^5 - 2*t^4 + 2*t^3 - t^2 + t - 1+        comment: the mirror image of $9_2$; $m=-10$; signature $2$+    '3':+      K:+        number: -t^9 + t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $9_3$; $m=3$; determinant $19$, signature $-6$, alternating+      mirror:+        number: t^9 - t^8 + 2*t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + t - 1+        comment: the mirror image of $9_3$; $m=-12$; signature $6$+    '4':+      K:+        number: -t^9 + t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 2*t^2 - t + 1+        comment: $9_4$; $m=2$; determinant $21$, signature $-4$, alternating+      mirror:+        number: t^9 - t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + t - 1+        comment: the mirror image of $9_4$; $m=-11$; signature $4$+    '5':+      K:+        number: -t^9 + t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t ++          1+        comment: $9_5$; $m=1$; determinant $23$, signature $-2$, alternating+      mirror:+        number: t^9 - 2*t^8 + 3*t^7 - 3*t^6 + 4*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + t -+          1+        comment: the mirror image of $9_5$; $m=-10$; signature $2$+    '6':+      K:+        number: -t^9 + 2*t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - t ++          1+        comment: $9_6$; $m=3$; determinant $27$, signature $-6$, alternating+      mirror:+        number: t^9 - t^8 + 3*t^7 - 3*t^6 + 4*t^5 - 5*t^4 + 4*t^3 - 3*t^2 + 2*t -+          1+        comment: the mirror image of $9_6$; $m=-12$; signature $6$+    '7':+      K:+        number: -t^9 + 2*t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - t ++          1+        comment: $9_7$; $m=2$; determinant $29$, signature $-4$, alternating+      mirror:+        number: t^9 - t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 4*t^3 - 3*t^2 + 2*t -+          1+        comment: the mirror image of $9_7$; $m=-11$; signature $4$+    '8':+      K:+        number: -t^9 + 2*t^8 - 3*t^7 + 5*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t+          + 1+        comment: $9_8$; $m=-3$; determinant $31$, signature $-2$, alternating+      mirror:+        number: t^9 - 2*t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + 2*t+          - 1+        comment: the mirror image of $9_8$; $m=-6$; signature $2$+    '9':+      K:+        number: -t^9 + 2*t^8 - 4*t^7 + 5*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - t ++          1+        comment: $9_9$; $m=3$; determinant $31$, signature $-6$, alternating+      mirror:+        number: t^9 - t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 5*t^3 - 4*t^2 + 2*t -+          1+        comment: the mirror image of $9_9$; $m=-12$; signature $6$+    '10':+      K:+        number: -t^9 + t^8 - 3*t^7 + 5*t^6 - 5*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t ++          1+        comment: $9_{10}$; $m=2$; determinant $33$, signature $-4$, alternating+      mirror:+        number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + t -+          1+        comment: the mirror image of $9_{10}$; $m=-11$; signature $4$+    '11':+      K:+        number: t^9 - 2*t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 5*t^4 + 5*t^3 - 4*t^2 + 2*t+          - 1+        comment: $9_{11}$; $m=-9$; determinant $33$, signature $4$, alternating+      mirror:+        number: -t^9 + 2*t^8 - 4*t^7 + 5*t^6 - 5*t^5 + 6*t^4 - 4*t^3 + 3*t^2 - 2*t+          + 1+        comment: the mirror image of $9_{11}$; $m=0$; signature $-4$+    '12':+      K:+        number: -t^9 + 2*t^8 - 3*t^7 + 5*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t+          + 1+        comment: $9_{12}$; $m=-1$; determinant $35$, signature $-2$, alternating+      mirror:+        number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 5*t^3 - 3*t^2 + 2*t+          - 1+        comment: the mirror image of $9_{12}$; $m=-8$; signature $2$+    '13':+      K:+        number: -t^9 + 2*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 7*t^4 - 5*t^3 + 4*t^2 - 2*t+          + 1+        comment: $9_{13}$; $m=2$; determinant $37$, signature $-4$, alternating+      mirror:+        number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 4*t^2 + 2*t+          - 1+        comment: the mirror image of $9_{13}$; $m=-11$; signature $4$+    '14':+      K:+        number: -t^9 + 3*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 3*t^2 - 2*t+          + 1+        comment: $9_{14}$; $m=-6$; determinant $37$, signature $0$, alternating+      mirror:+        number: t^9 - 2*t^8 + 3*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{14}$; $m=-3$; signature $0$+    '15':+      K:+        number: t^9 - 2*t^8 + 4*t^7 - 6*t^6 + 7*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 2*t+          - 1+        comment: $9_{15}$; $m=-8$; determinant $39$, signature $2$, alternating+      mirror:+        number: -t^9 + 2*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t+          + 1+        comment: the mirror image of $9_{15}$; $m=-1$; signature $-2$+    '16':+      K:+        number: -t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 7*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - t ++          1+        comment: $9_{16}$; $m=3$; determinant $39$, signature $-6$, alternating+      mirror:+        number: t^9 - t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 7*t^4 + 6*t^3 - 5*t^2 + 3*t -+          1+        comment: the mirror image of $9_{16}$; $m=-12$; signature $6$+    '17':+      K:+        number: -t^9 + 3*t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t+          + 1+        comment: $9_{17}$; $m=-3$; determinant $39$, signature $-2$, alternating+      mirror:+        number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 7*t^4 + 6*t^3 - 4*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{17}$; $m=-6$; signature $2$+    '18':+      K:+        number: -t^9 + 2*t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 5*t^2 - 2*t+          + 1+        comment: $9_{18}$; $m=2$; determinant $41$, signature $-4$, alternating+      mirror:+        number: t^9 - 2*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 4*t^2 + 2*t+          - 1+        comment: the mirror image of $9_{18}$; $m=-11$; signature $4$+    '19':+      K:+        number: -t^9 + 3*t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t+          + 1+        comment: $9_{19}$; $m=-4$; determinant $41$, signature $0$, alternating+      mirror:+        number: t^9 - 2*t^8 + 4*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 4*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{19}$; $m=-5$; signature $0$+    '20':+      K:+        number: -t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 5*t^3 + 4*t^2 - 2*t+          + 1+        comment: $9_{20}$; $m=0$; determinant $41$, signature $-4$, alternating+      mirror:+        number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 5*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{20}$; $m=-9$; signature $4$+    '21':+      K:+        number: t^9 - 3*t^8 + 5*t^7 - 6*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 4*t^2 + 2*t+          - 1+        comment: $9_{21}$; $m=-8$; determinant $43$, signature $2$, alternating+      mirror:+        number: -t^9 + 2*t^8 - 4*t^7 + 6*t^6 - 7*t^5 + 8*t^4 - 6*t^3 + 5*t^2 - 3*t+          + 1+        comment: the mirror image of $9_{21}$; $m=-1$; signature $-2$+    '22':+      K:+        number: -t^9 + 3*t^8 - 5*t^7 + 7*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 2*t+          + 1+        comment: $9_{22}$; $m=-3$; determinant $43$, signature $-2$, alternating+      mirror:+        number: t^9 - 2*t^8 + 4*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 7*t^3 - 5*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{22}$; $m=-6$; signature $2$+    '23':+      K:+        number: -t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 5*t^2 - 2*t+          + 1+        comment: $9_{23}$; $m=2$; determinant $45$, signature $-4$, alternating+      mirror:+        number: t^9 - 2*t^8 + 5*t^7 - 6*t^6 + 8*t^5 - 8*t^4 + 6*t^3 - 5*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{23}$; $m=-11$; signature $4$+    '24':+      K:+        number: -t^9 + 2*t^8 - 4*t^7 + 7*t^6 - 7*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 3*t+          + 1+        comment: $9_{24}$; $m=-4$; determinant $45$, signature $0$, alternating+      mirror:+        number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 8*t^5 - 7*t^4 + 7*t^3 - 4*t^2 + 2*t+          - 1+        comment: the mirror image of $9_{24}$; $m=-5$; signature $0$+    '25':+      K:+        number: -t^9 + 3*t^8 - 5*t^7 + 7*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 2*t+          + 1+        comment: $9_{25}$; $m=-1$; determinant $47$, signature $-2$, alternating+      mirror:+        number: t^9 - 2*t^8 + 5*t^7 - 7*t^6 + 8*t^5 - 8*t^4 + 7*t^3 - 5*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{25}$; $m=-8$; signature $2$+    '26':+      K:+        number: -t^9 + 3*t^8 - 4*t^7 + 7*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 3*t+          + 1+        comment: $9_{26}$; $m=-7$; determinant $47$, signature $2$, alternating+      mirror:+        number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 8*t^5 - 8*t^4 + 7*t^3 - 4*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{26}$; $m=-2$; signature $-2$+    '27':+      K:+        number: -t^9 + 3*t^8 - 5*t^7 + 7*t^6 - 8*t^5 + 9*t^4 - 7*t^3 + 5*t^2 - 3*t+          + 1+        comment: $9_{27}$; $m=-4$; determinant $49$, signature $0$, alternating+      mirror:+        number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 5*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{27}$; $m=-5$; signature $0$+    '28':+      K:+        number: t^9 - 3*t^8 + 5*t^7 - 8*t^6 + 9*t^5 - 8*t^4 + 8*t^3 - 5*t^2 + 3*t+          - 1+        comment: $9_{28}$; $m=-2$; determinant $51$, signature $-2$, alternating+      mirror:+        number: -t^9 + 3*t^8 - 5*t^7 + 8*t^6 - 8*t^5 + 9*t^4 - 8*t^3 + 5*t^2 - 3*t+          + 1+        comment: the mirror image of $9_{28}$; $m=-7$; signature $2$+    '29':+      K:+        number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 9*t^5 - 8*t^4 + 8*t^3 - 6*t^2 + 3*t+          - 1+        comment: $9_{29}$; $m=-6$; determinant $51$, signature $2$, alternating+      mirror:+        number: -t^9 + 3*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 9*t^4 - 7*t^3 + 5*t^2 - 3*t+          + 1+        comment: the mirror image of $9_{29}$; $m=-3$; signature $-2$+    '30':+      K:+        number: t^9 - 3*t^8 + 6*t^7 - 8*t^6 + 9*t^5 - 9*t^4 + 8*t^3 - 5*t^2 + 3*t+          - 1+        comment: $9_{30}$; $m=-5$; determinant $53$, signature $0$, alternating+      mirror:+        number: -t^9 + 3*t^8 - 5*t^7 + 8*t^6 - 9*t^5 + 9*t^4 - 8*t^3 + 6*t^2 - 3*t+          + 1+        comment: the mirror image of $9_{30}$; $m=-4$; signature $0$+    '31':+      K:+        number: t^9 - 4*t^8 + 6*t^7 - 8*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 5*t^2 + 3*t+          - 1+        comment: $9_{31}$; $m=-2$; determinant $55$, signature $-2$, alternating+      mirror:+        number: -t^9 + 3*t^8 - 5*t^7 + 8*t^6 - 9*t^5 + 10*t^4 - 8*t^3 + 6*t^2 - 4*t+          + 1+        comment: the mirror image of $9_{31}$; $m=-7$; signature $2$+    '32':+      K:+        number: -t^9 + 4*t^8 - 6*t^7 + 9*t^6 - 10*t^5 + 10*t^4 - 9*t^3 + 6*t^2 - 3*t+          + 1+        comment: $9_{32}$; $m=-7$; determinant $59$, signature $2$, alternating+      mirror:+        number: t^9 - 3*t^8 + 6*t^7 - 9*t^6 + 10*t^5 - 10*t^4 + 9*t^3 - 6*t^2 + 4*t+          - 1+        comment: the mirror image of $9_{32}$; $m=-2$; signature $-2$+    '33':+      K:+        number: t^9 - 4*t^8 + 7*t^7 - 9*t^6 + 11*t^5 - 10*t^4 + 9*t^3 - 6*t^2 + 3*t+          - 1+        comment: $9_{33}$; $m=-5$; determinant $61$, signature $0$, alternating+      mirror:+        number: -t^9 + 3*t^8 - 6*t^7 + 9*t^6 - 10*t^5 + 11*t^4 - 9*t^3 + 7*t^2 - 4*t+          + 1+        comment: the mirror image of $9_{33}$; $m=-4$; signature $0$+    '34':+      K:+        number: t^9 - 4*t^8 + 8*t^7 - 10*t^6 + 12*t^5 - 12*t^4 + 10*t^3 - 7*t^2 ++          4*t - 1+        comment: $9_{34}$; $m=-5$; determinant $69$, signature $0$, alternating+      mirror:+        number: -t^9 + 4*t^8 - 7*t^7 + 10*t^6 - 12*t^5 + 12*t^4 - 10*t^3 + 8*t^2 -+          4*t + 1+        comment: the mirror image of $9_{34}$; $m=-4$; signature $0$+    '35':+      K:+        number: -t^9 + t^8 - 3*t^7 + 4*t^6 - 3*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t ++          1+        comment: $9_{35}$; $m=1$; determinant $27$, signature $-2$, alternating+      mirror:+        number: t^9 - 2*t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 3*t^4 + 4*t^3 - 3*t^2 + t -+          1+        comment: the mirror image of $9_{35}$; $m=-10$; signature $2$+    '36':+      K:+        number: t^9 - 2*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 2*t+          - 1+        comment: $9_{36}$; $m=-9$; determinant $37$, signature $4$, alternating+      mirror:+        number: -t^9 + 2*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t+          + 1+        comment: the mirror image of $9_{36}$; $m=0$; signature $-4$+    '37':+      K:+        number: -t^9 + 3*t^8 - 4*t^7 + 7*t^6 - 8*t^5 + 7*t^4 - 7*t^3 + 5*t^2 - 2*t+          + 1+        comment: $9_{37}$; $m=-4$; determinant $45$, signature $0$, alternating+      mirror:+        number: t^9 - 2*t^8 + 5*t^7 - 7*t^6 + 7*t^5 - 8*t^4 + 7*t^3 - 4*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{37}$; $m=-5$; signature $0$+    '38':+      K:+        number: -t^9 + 3*t^8 - 6*t^7 + 8*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 7*t^2 - 3*t+          + 1+        comment: $9_{38}$; $m=2$; determinant $57$, signature $-4$, alternating+      mirror:+        number: t^9 - 3*t^8 + 7*t^7 - 8*t^6 + 10*t^5 - 10*t^4 + 8*t^3 - 6*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{38}$; $m=-11$; signature $4$+    '39':+      K:+        number: t^9 - 3*t^8 + 6*t^7 - 8*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 6*t^2 + 3*t+          - 1+        comment: $9_{39}$; $m=-8$; determinant $55$, signature $2$, alternating+      mirror:+        number: -t^9 + 3*t^8 - 6*t^7 + 8*t^6 - 9*t^5 + 10*t^4 - 8*t^3 + 6*t^2 - 3*t+          + 1+        comment: the mirror image of $9_{39}$; $m=-1$; signature $-2$+    '40':+      K:+        number: t^9 - 4*t^8 + 8*t^7 - 11*t^6 + 13*t^5 - 13*t^4 + 11*t^3 - 8*t^2 ++          5*t - 1+        comment: $9_{40}$; $m=-2$; determinant $75$, signature $-2$, alternating+      mirror:+        number: -t^9 + 5*t^8 - 8*t^7 + 11*t^6 - 13*t^5 + 13*t^4 - 11*t^3 + 8*t^2 -+          4*t + 1+        comment: the mirror image of $9_{40}$; $m=-7$; signature $2$+    '41':+      K:+        number: -t^9 + 3*t^8 - 5*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 5*t^2 - 3*t+          + 1+        comment: $9_{41}$; $m=-6$; determinant $49$, signature $0$, alternating+      mirror:+        number: t^9 - 3*t^8 + 5*t^7 - 7*t^6 + 8*t^5 - 8*t^4 + 8*t^3 - 5*t^2 + 3*t+          - 1+        comment: the mirror image of $9_{41}$; $m=-3$; signature $0$+    '42':+      K:+        number: t^6 - t^5 + t^4 - t^3 + t^2 - t + 1+        comment: $9_{42}$; $m=-3$; determinant $7$, signature $2$, non-alternating;+          chiral, yet $V(t)=V(1/t)$, so the mirror image has the same polynomial+      mirror:+        number: t^6 - t^5 + t^4 - t^3 + t^2 - t + 1+        comment: the mirror image of $9_{42}$; $m=-3$; signature $-2$; the same polynomial+          as $9_{42}$+    '43':+      K:+        number: -t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $9_{43}$; $m=0$; determinant $13$, signature $-4$, non-alternating+      mirror:+        number: t^7 - t^6 + 2*t^5 - 2*t^4 + 2*t^3 - 2*t^2 + 2*t - 1+        comment: the mirror image of $9_{43}$; $m=-7$; signature $4$+    '44':+      K:+        number: -t^7 + 2*t^6 - 2*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - 2*t + 1+        comment: $9_{44}$; $m=-2$; determinant $17$, signature $0$, non-alternating+      mirror:+        number: t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + 2*t - 1+        comment: the mirror image of $9_{44}$; $m=-5$; signature $0$+    '45':+      K:+        number: 2*t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 2*t - 1+        comment: $9_{45}$; $m=-8$; determinant $23$, signature $2$, non-alternating+      mirror:+        number: -t^7 + 2*t^6 - 3*t^5 + 4*t^4 - 4*t^3 + 4*t^2 - 3*t + 2+        comment: the mirror image of $9_{45}$; $m=1$; signature $-2$+    '46':+      K:+        number: 2*t^6 - t^5 + t^4 - 2*t^3 + t^2 - t + 1+        comment: $9_{46}$; $m=-6$; determinant $9$, signature $0$, non-alternating+      mirror:+        number: t^6 - t^5 + t^4 - 2*t^3 + t^2 - t + 2+        comment: the mirror image of $9_{46}$; $m=0$; signature $0$+    '47':+      K:+        number: 2*t^7 - 4*t^6 + 4*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + 3*t - 1+        comment: $9_{47}$; $m=-2$; determinant $27$, signature $-2$, non-alternating+      mirror:+        number: -t^7 + 3*t^6 - 3*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 4*t + 2+        comment: the mirror image of $9_{47}$; $m=-5$; signature $2$+    '48':+      K:+        number: t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 6*t^3 - 4*t^2 + 3*t - 2+        comment: $9_{48}$; $m=-6$; determinant $27$, signature $2$, non-alternating+      mirror:+        number: -2*t^7 + 3*t^6 - 4*t^5 + 6*t^4 - 4*t^3 + 4*t^2 - 3*t + 1+        comment: the mirror image of $9_{48}$; $m=-1$; signature $-2$+    '49':+      K:+        number: -2*t^7 + 3*t^6 - 4*t^5 + 5*t^4 - 4*t^3 + 4*t^2 - 2*t + 1+        comment: $9_{49}$; $m=2$; determinant $25$, signature $-4$, non-alternating+      mirror:+        number: t^7 - 2*t^6 + 4*t^5 - 4*t^4 + 5*t^3 - 4*t^2 + 3*t - 2+        comment: the mirror image of $9_{49}$; $m=-9$; signature $4$+  '10':+    '1':+      K:+        number: t^10 - t^9 + t^8 - 2*t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + 2*t^2 -+          t + 1+        comment: $10_1$; $m=-2$; determinant $17$, signature $0$, alternating+      mirror:+        number: t^10 - t^9 + 2*t^8 - 2*t^7 + 2*t^6 - 2*t^5 + 2*t^4 - 2*t^3 + t^2 -+          t + 1+        comment: the mirror image of $10_1$; $m=-8$; signature $0$+    '2':+      K:+        number: t^10 - 2*t^9 + 2*t^8 - 3*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 2*t^3 + 2*t^2+          - t + 1+        comment: $10_2$; $m=1$; determinant $23$, signature $-6$, alternating+      mirror:+        number: t^10 - t^9 + 2*t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 2*t^2+          - 2*t + 1+        comment: the mirror image of $10_2$; $m=-11$; signature $6$+    '3':+      K:+        number: t^10 - t^9 + 2*t^8 - 3*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 2*t^2+          - t + 1+        comment: $10_3$; $m=-4$; determinant $25$, signature $0$, alternating+      mirror:+        number: t^10 - t^9 + 2*t^8 - 3*t^7 + 4*t^6 - 4*t^5 + 3*t^4 - 3*t^3 + 2*t^2+          - t + 1+        comment: the mirror image of $10_3$; $m=-6$; signature $0$+    '4':+      K:+        number: t^10 - t^9 + 2*t^8 - 3*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 3*t^2+          - 2*t + 1+        comment: $10_4$; $m=-5$; determinant $27$, signature $2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 3*t^8 - 3*t^7 + 4*t^6 - 4*t^5 + 3*t^4 - 3*t^3 + 2*t^2+          - t + 1+        comment: the mirror image of $10_4$; $m=-5$; signature $-2$+    '5':+      K:+        number: -t^10 + 2*t^9 - 2*t^8 + 4*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 4*t^3 - 3*t^2+          + 2*t - 1+        comment: $10_5$; $m=-9$; determinant $33$, signature $4$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 3*t^8 + 4*t^7 - 5*t^6 + 5*t^5 - 4*t^4 + 4*t^3 - 2*t^2+          + 2*t - 1+        comment: the mirror image of $10_5$; $m=-1$; signature $-4$+    '6':+      K:+        number: t^10 - 2*t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 6*t^5 + 5*t^4 - 4*t^3 + 3*t^2+          - t + 1+        comment: $10_6$; $m=0$; determinant $37$, signature $-4$, alternating+      mirror:+        number: t^10 - t^9 + 3*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 3*t^2+          - 2*t + 1+        comment: the mirror image of $10_6$; $m=-10$; signature $4$+    '7':+      K:+        number: t^10 - 2*t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 5*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_7$; $m=-1$; determinant $43$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 5*t^7 + 7*t^6 - 7*t^5 + 6*t^4 - 5*t^3 + 3*t^2+          - 2*t + 1+        comment: the mirror image of $10_7$; $m=-9$; signature $2$+    '8':+      K:+        number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 4*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 2*t^2+          - t + 1+        comment: $10_8$; $m=-2$; determinant $29$, signature $-4$, alternating+      mirror:+        number: t^10 - t^9 + 2*t^8 - 3*t^7 + 4*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2+          - 2*t + 1+        comment: the mirror image of $10_8$; $m=-8$; signature $4$+    '9':+      K:+        number: t^10 - 2*t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 6*t^5 + 6*t^4 - 4*t^3 + 3*t^2+          - 2*t + 1+        comment: $10_9$; $m=-3$; determinant $39$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 3*t^2+          - 2*t + 1+        comment: the mirror image of $10_9$; $m=-7$; signature $2$+    '10':+      K:+        number: -t^10 + 3*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 3*t^2+          + 2*t - 1+        comment: $10_{10}$; $m=-7$; determinant $45$, signature $0$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 4*t^2+          + 3*t - 1+        comment: the mirror image of $10_{10}$; $m=-3$; signature $0$+    '11':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 7*t^6 - 7*t^5 + 6*t^4 - 5*t^3 + 3*t^2+          - t + 1+        comment: $10_{11}$; $m=-3$; determinant $43$, signature $-2$, alternating+      mirror:+        number: t^10 - t^9 + 3*t^8 - 5*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{11}$; $m=-7$; signature $2$+    '12':+      K:+        number: -t^10 + 2*t^9 - 3*t^8 + 6*t^7 - 7*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{12}$; $m=-8$; determinant $47$, signature $2$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 3*t^2+          + 2*t - 1+        comment: the mirror image of $10_{12}$; $m=-2$; signature $-2$+    '13':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 9*t^5 + 8*t^4 - 7*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{13}$; $m=-4$; determinant $53$, signature $0$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 8*t^6 - 9*t^5 + 8*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{13}$; $m=-6$; signature $0$+    '14':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 9*t^6 - 9*t^5 + 9*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_{14}$; $m=0$; determinant $57$, signature $-4$, alternating+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 9*t^6 - 9*t^5 + 9*t^4 - 8*t^3 + 5*t^2+          - 3*t + 1+        comment: the mirror image of $10_{14}$; $m=-10$; signature $4$+    '15':+      K:+        number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 6*t^4 + 6*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{15}$; $m=-6$; determinant $43$, signature $2$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 6*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 3*t^2+          + 2*t - 1+        comment: the mirror image of $10_{15}$; $m=-4$; signature $-2$+    '16':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 7*t^6 - 8*t^5 + 7*t^4 - 5*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_{16}$; $m=-3$; determinant $47$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 5*t^7 + 7*t^6 - 8*t^5 + 7*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{16}$; $m=-7$; signature $2$+    '17':+      K:+        number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 3*t^2+          + 2*t - 1+        comment: $10_{17}$; $m=-5$; determinant $41$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '18':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 9*t^5 + 8*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_{18}$; $m=-3$; determinant $55$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 9*t^5 + 9*t^4 - 7*t^3 + 5*t^2+          - 3*t + 1+        comment: the mirror image of $10_{18}$; $m=-7$; signature $2$+    '19':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 7*t^7 - 8*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 3*t^2+          + 2*t - 1+        comment: $10_{19}$; $m=-4$; determinant $51$, signature $-2$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 3*t^8 + 6*t^7 - 7*t^6 + 8*t^5 - 8*t^4 + 7*t^3 - 5*t^2+          + 3*t - 1+        comment: the mirror image of $10_{19}$; $m=-6$; signature $2$+    '20':+      K:+        number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 5*t^4 - 4*t^3 + 3*t^2+          - t + 1+        comment: $10_{20}$; $m=-1$; determinant $35$, signature $-2$, alternating+      mirror:+        number: t^10 - t^9 + 3*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 5*t^4 - 4*t^3 + 3*t^2+          - 2*t + 1+        comment: the mirror image of $10_{20}$; $m=-9$; signature $2$+    '21':+      K:+        number: t^10 - 2*t^9 + 3*t^8 - 6*t^7 + 7*t^6 - 7*t^5 + 7*t^4 - 5*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_{21}$; $m=0$; determinant $45$, signature $-4$, alternating+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 5*t^7 + 7*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 3*t^2+          - 2*t + 1+        comment: the mirror image of $10_{21}$; $m=-10$; signature $4$+    '22':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 7*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_{22}$; $m=-4$; determinant $49$, signature $0$, alternating;+          the same polynomial as the mirror image of $10_{35}$+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 7*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{22}$; $m=-6$; signature $0$; the same polynomial+          as $10_{35}$+    '23':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 10*t^5 - 9*t^4 + 7*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{23}$; $m=-8$; determinant $59$, signature $2$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 9*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 5*t^2+          + 3*t - 1+        comment: the mirror image of $10_{23}$; $m=-2$; signature $-2$+    '24':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 7*t^7 + 8*t^6 - 9*t^5 + 9*t^4 - 7*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{24}$; $m=-1$; determinant $55$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 9*t^5 + 8*t^4 - 7*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{24}$; $m=-9$; signature $2$+    '25':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 7*t^3 ++          5*t^2 - 2*t + 1+        comment: $10_{25}$; $m=0$; determinant $65$, signature $-4$, alternating;+          the same polynomial as $10_{56}$+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{25}$; $m=-10$; signature $4$; the same polynomial+          as the mirror image of $10_{56}$+    '26':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 7*t^7 + 9*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 6*t^2+          - 3*t + 1+        comment: $10_{26}$; $m=-4$; determinant $61$, signature $0$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 9*t^4 - 7*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{26}$; $m=-6$; signature $0$+    '27':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 9*t^7 - 11*t^6 + 12*t^5 - 11*t^4 + 9*t^3 -+          6*t^2 + 3*t - 1+        comment: $10_{27}$; $m=-8$; determinant $71$, signature $2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 11*t^6 + 12*t^5 - 11*t^4 + 9*t^3 -+          5*t^2 + 3*t - 1+        comment: the mirror image of $10_{27}$; $m=-2$; signature $-2$+    '28':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 7*t^7 - 8*t^6 + 9*t^5 - 7*t^4 + 6*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{28}$; $m=-7$; determinant $53$, signature $0$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 5*t^2+          + 3*t - 1+        comment: the mirror image of $10_{28}$; $m=-3$; signature $0$+    '29':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 9*t^4 - 7*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{29}$; $m=-3$; determinant $63$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 11*t^5 + 10*t^4 - 8*t^3 + 6*t^2+          - 3*t + 1+        comment: the mirror image of $10_{29}$; $m=-7$; signature $2$+    '30':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 11*t^4 - 8*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{30}$; $m=-1$; determinant $67$, signature $-2$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 11*t^5 + 10*t^4 - 8*t^3 ++          5*t^2 - 3*t + 1+        comment: the mirror image of $10_{30}$; $m=-9$; signature $2$+    '31':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 7*t^7 - 9*t^6 + 10*t^5 - 8*t^4 + 7*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{31}$; $m=-5$; determinant $57$, signature $0$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 10*t^5 - 9*t^4 + 7*t^3 - 5*t^2+          + 3*t - 1+        comment: the mirror image of $10_{31}$; $m=-5$; signature $0$+    '32':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 11*t^6 - 11*t^5 + 11*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{32}$; $m=-4$; determinant $69$, signature $0$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 11*t^5 + 11*t^4 - 8*t^3 ++          5*t^2 - 3*t + 1+        comment: the mirror image of $10_{32}$; $m=-6$; signature $0$+    '33':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 10*t^4 + 8*t^3 -+          5*t^2 + 3*t - 1+        comment: $10_{33}$; $m=-5$; determinant $65$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '34':+      K:+        number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 5*t^6 + 6*t^5 - 5*t^4 + 4*t^3 - 3*t^2+          + 2*t - 1+        comment: $10_{34}$; $m=-7$; determinant $37$, signature $0$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 3*t^8 + 4*t^7 - 5*t^6 + 6*t^5 - 5*t^4 + 5*t^3 - 3*t^2+          + 2*t - 1+        comment: the mirror image of $10_{34}$; $m=-3$; signature $0$+    '35':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 7*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_{35}$; $m=-6$; determinant $49$, signature $0$, alternating;+          the same polynomial as the mirror image of $10_{22}$+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 7*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{35}$; $m=-4$; signature $0$; the same polynomial+          as $10_{22}$+    '36':+      K:+        number: t^10 - 3*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_{36}$; $m=-1$; determinant $51$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2+          - 3*t + 1+        comment: the mirror image of $10_{36}$; $m=-9$; signature $2$+    '37':+      K:+        number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{37}$; $m=-5$; determinant $53$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '38':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 10*t^5 + 9*t^4 - 7*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{38}$; $m=-1$; determinant $59$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 10*t^5 + 9*t^4 - 7*t^3 + 5*t^2+          - 3*t + 1+        comment: the mirror image of $10_{38}$; $m=-9$; signature $2$+    '39':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 9*t^4 - 7*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{39}$; $m=0$; determinant $61$, signature $-4$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 10*t^5 + 10*t^4 - 8*t^3 + 5*t^2+          - 3*t + 1+        comment: the mirror image of $10_{39}$; $m=-10$; signature $4$+    '40':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 11*t^6 + 13*t^5 - 12*t^4 + 9*t^3+          - 6*t^2 + 3*t - 1+        comment: $10_{40}$; $m=-8$; determinant $75$, signature $2$, alternating;+          the same polynomial as $10_{103}$+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 12*t^6 + 13*t^5 - 11*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: the mirror image of $10_{40}$; $m=-2$; signature $-2$; the same polynomial+          as the mirror image of $10_{103}$+    '41':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 8*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{41}$; $m=-3$; determinant $71$, signature $-2$, alternating;+          the same polynomial as $10_{94}$+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{41}$; $m=-7$; signature $2$; the same polynomial+          as the mirror image of $10_{94}$+    '42':+      K:+        number: -t^10 + 4*t^9 - 7*t^8 + 10*t^7 - 13*t^6 + 14*t^5 - 12*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: $10_{42}$; $m=-5$; determinant $81$, signature $0$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 14*t^5 - 13*t^4 + 10*t^3+          - 7*t^2 + 4*t - 1+        comment: the mirror image of $10_{42}$; $m=-5$; signature $0$+    '43':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 11*t^6 + 13*t^5 - 11*t^4 + 9*t^3 -+          6*t^2 + 3*t - 1+        comment: $10_{43}$; $m=-5$; determinant $73$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$; the+          same polynomial as $10_{91}$, the mirror image of $10_{91}$+    '44':+      K:+        number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 13*t^6 - 13*t^5 + 12*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{44}$; $m=-3$; determinant $79$, signature $-2$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 13*t^5 + 13*t^4 - 10*t^3 ++          7*t^2 - 4*t + 1+        comment: the mirror image of $10_{44}$; $m=-7$; signature $2$+    '45':+      K:+        number: -t^10 + 4*t^9 - 7*t^8 + 11*t^7 - 14*t^6 + 15*t^5 - 14*t^4 + 11*t^3+          - 7*t^2 + 4*t - 1+        comment: $10_{45}$; $m=-5$; determinant $89$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '46':+      K:+        number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 4*t^6 - 5*t^5 + 4*t^4 - 3*t^3 + 3*t^2+          - t + 1+        comment: $10_{46}$; $m=1$; determinant $31$, signature $-6$, alternating+      mirror:+        number: t^10 - t^9 + 3*t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 4*t^4 - 4*t^3 + 3*t^2+          - 2*t + 1+        comment: the mirror image of $10_{46}$; $m=-11$; signature $6$+    '47':+      K:+        number: -t^10 + 2*t^9 - 3*t^8 + 5*t^7 - 5*t^6 + 7*t^5 - 6*t^4 + 5*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{47}$; $m=-9$; determinant $41$, signature $4$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 5*t^7 - 6*t^6 + 7*t^5 - 5*t^4 + 5*t^3 - 3*t^2+          + 2*t - 1+        comment: the mirror image of $10_{47}$; $m=-1$; signature $-4$+    '48':+      K:+        number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 9*t^5 - 7*t^4 + 6*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{48}$; $m=-5$; determinant $49$, signature $0$, alternating;+          chiral, yet $V(t)=V(1/t)$, so the mirror image has the same polynomial+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 9*t^5 - 7*t^4 + 6*t^3 - 4*t^2+          + 2*t - 1+        comment: the mirror image of $10_{48}$; $m=-5$; signature $0$; the same polynomial+          as $10_{48}$+    '49':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 9*t^6 - 10*t^5 + 9*t^4 - 6*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{49}$; $m=3$; determinant $59$, signature $-6$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 6*t^7 + 9*t^6 - 10*t^5 + 9*t^4 - 8*t^3 + 5*t^2+          - 3*t + 1+        comment: the mirror image of $10_{49}$; $m=-13$; signature $6$+    '50':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 7*t^7 + 8*t^6 - 9*t^5 + 8*t^4 - 6*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{50}$; $m=0$; determinant $53$, signature $-4$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 6*t^7 + 8*t^6 - 9*t^5 + 8*t^4 - 7*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{50}$; $m=-10$; signature $4$+    '51':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 10*t^6 + 12*t^5 - 10*t^4 + 8*t^3 -+          5*t^2 + 2*t - 1+        comment: $10_{51}$; $m=-8$; determinant $67$, signature $2$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 12*t^5 - 10*t^4 + 9*t^3 -+          6*t^2 + 3*t - 1+        comment: the mirror image of $10_{51}$; $m=-2$; signature $-2$+    '52':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 8*t^7 - 9*t^6 + 10*t^5 - 8*t^4 + 7*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{52}$; $m=-4$; determinant $59$, signature $-2$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 10*t^5 - 9*t^4 + 8*t^3 - 6*t^2+          + 3*t - 1+        comment: the mirror image of $10_{52}$; $m=-6$; signature $2$+    '53':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 9*t^7 + 11*t^6 - 12*t^5 + 12*t^4 - 9*t^3 ++          7*t^2 - 3*t + 1+        comment: $10_{53}$; $m=2$; determinant $73$, signature $-4$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 9*t^7 + 12*t^6 - 12*t^5 + 11*t^4 - 9*t^3 ++          5*t^2 - 3*t + 1+        comment: the mirror image of $10_{53}$; $m=-12$; signature $4$+    '54':+      K:+        number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 6*t^6 + 8*t^5 - 7*t^4 + 6*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{54}$; $m=-6$; determinant $47$, signature $2$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 8*t^5 - 6*t^4 + 6*t^3 - 4*t^2+          + 2*t - 1+        comment: the mirror image of $10_{54}$; $m=-4$; signature $-2$+    '55':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 9*t^6 - 10*t^5 + 10*t^4 - 7*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{55}$; $m=2$; determinant $61$, signature $-4$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 10*t^6 - 10*t^5 + 9*t^4 - 8*t^3 + 5*t^2+          - 3*t + 1+        comment: the mirror image of $10_{55}$; $m=-12$; signature $4$+    '56':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 7*t^3 ++          5*t^2 - 2*t + 1+        comment: $10_{56}$; $m=0$; determinant $65$, signature $-4$, alternating;+          the same polynomial as $10_{25}$+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{56}$; $m=-10$; signature $4$; the same polynomial+          as the mirror image of $10_{25}$+    '57':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 14*t^5 - 12*t^4 + 10*t^3+          - 7*t^2 + 3*t - 1+        comment: $10_{57}$; $m=-8$; determinant $79$, signature $2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 7*t^8 + 10*t^7 - 12*t^6 + 14*t^5 - 12*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: the mirror image of $10_{57}$; $m=-2$; signature $-2$+    '58':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 8*t^3 ++          5*t^2 - 2*t + 1+        comment: $10_{58}$; $m=-4$; determinant $65$, signature $0$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 10*t^4 - 8*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{58}$; $m=-6$; signature $0$+    '59':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 12*t^6 - 12*t^5 + 12*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{59}$; $m=-3$; determinant $75$, signature $-2$, alternating;+          the same polynomial as $10_{106}$+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 12*t^5 + 12*t^4 - 10*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{59}$; $m=-7$; signature $2$; the same polynomial+          as the mirror image of $10_{106}$+    '60':+      K:+        number: t^10 - 4*t^9 + 8*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 13*t^4 - 10*t^3+          + 6*t^2 - 3*t + 1+        comment: $10_{60}$; $m=-6$; determinant $85$, signature $0$, alternating;+          the same polynomial as the mirror image of $10_{86}$+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 13*t^6 - 14*t^5 + 14*t^4 - 11*t^3+          + 8*t^2 - 4*t + 1+        comment: the mirror image of $10_{60}$; $m=-4$; signature $0$; the same polynomial+          as $10_{86}$+    '61':+      K:+        number: t^10 - 2*t^9 + 3*t^8 - 4*t^7 + 5*t^6 - 5*t^5 + 4*t^4 - 4*t^3 + 3*t^2+          - t + 1+        comment: $10_{61}$; $m=-2$; determinant $33$, signature $-4$, alternating+      mirror:+        number: t^10 - t^9 + 3*t^8 - 4*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 3*t^2+          - 2*t + 1+        comment: the mirror image of $10_{61}$; $m=-8$; signature $4$+    '62':+      K:+        number: -t^10 + 2*t^9 - 3*t^8 + 6*t^7 - 6*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{62}$; $m=-9$; determinant $45$, signature $4$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 6*t^7 - 7*t^6 + 7*t^5 - 6*t^4 + 6*t^3 - 3*t^2+          + 2*t - 1+        comment: the mirror image of $10_{62}$; $m=-1$; signature $-4$+    '63':+      K:+        number: t^10 - 3*t^9 + 4*t^8 - 7*t^7 + 9*t^6 - 9*t^5 + 9*t^4 - 7*t^3 + 5*t^2+          - 2*t + 1+        comment: $10_{63}$; $m=2$; determinant $57$, signature $-4$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 7*t^7 + 9*t^6 - 9*t^5 + 9*t^4 - 7*t^3 + 4*t^2+          - 3*t + 1+        comment: the mirror image of $10_{63}$; $m=-12$; signature $4$+    '64':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 7*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 6*t^3 + 4*t^2+          - 2*t + 1+        comment: $10_{64}$; $m=-3$; determinant $51$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{64}$; $m=-7$; signature $2$+    '65':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 9*t^4 + 8*t^3 -+          5*t^2 + 2*t - 1+        comment: $10_{65}$; $m=-8$; determinant $63$, signature $2$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 11*t^5 - 10*t^4 + 8*t^3 -+          5*t^2 + 3*t - 1+        comment: the mirror image of $10_{65}$; $m=-2$; signature $-2$+    '66':+      K:+        number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 12*t^6 - 13*t^5 + 11*t^4 - 8*t^3 ++          6*t^2 - 2*t + 1+        comment: $10_{66}$; $m=3$; determinant $75$, signature $-6$, alternating+      mirror:+        number: t^10 - 2*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 13*t^5 + 12*t^4 - 10*t^3 ++          7*t^2 - 4*t + 1+        comment: the mirror image of $10_{66}$; $m=-13$; signature $6$+    '67':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 10*t^4 - 8*t^3 ++          5*t^2 - 2*t + 1+        comment: $10_{67}$; $m=-1$; determinant $63$, signature $-2$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 10*t^4 - 8*t^3 ++          5*t^2 - 3*t + 1+        comment: the mirror image of $10_{67}$; $m=-9$; signature $2$+    '68':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 4*t^2+          + 2*t - 1+        comment: $10_{68}$; $m=-7$; determinant $57$, signature $0$, alternating+      mirror:+        number: -t^10 + 2*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 9*t^5 - 9*t^4 + 8*t^3 - 5*t^2+          + 3*t - 1+        comment: the mirror image of $10_{68}$; $m=-3$; signature $0$+    '69':+      K:+        number: -t^10 + 4*t^9 - 7*t^8 + 11*t^7 - 14*t^6 + 15*t^5 - 13*t^4 + 11*t^3+          - 7*t^2 + 3*t - 1+        comment: $10_{69}$; $m=-8$; determinant $87$, signature $2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 15*t^5 - 14*t^4 + 11*t^3+          - 7*t^2 + 4*t - 1+        comment: the mirror image of $10_{69}$; $m=-2$; signature $-2$+    '70':+      K:+        number: t^10 - 2*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 11*t^5 + 11*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{70}$; $m=-7$; determinant $67$, signature $2$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 11*t^5 + 10*t^4 - 8*t^3 ++          5*t^2 - 2*t + 1+        comment: the mirror image of $10_{70}$; $m=-3$; signature $-2$+    '71':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 13*t^5 - 12*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: $10_{71}$; $m=-5$; determinant $77$, signature $0$, alternating;+          chiral, yet $V(t)=V(1/t)$, so the mirror image has the same polynomial;+          the same polynomial as $10_{104}$, the mirror image of $10_{104}$+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 13*t^5 - 12*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: the mirror image of $10_{71}$; $m=-5$; signature $0$; the same polynomial+          as $10_{71}$, $10_{104}$, the mirror image of $10_{104}$+    '72':+      K:+        number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 12*t^6 - 12*t^5 + 11*t^4 - 8*t^3 ++          5*t^2 - 2*t + 1+        comment: $10_{72}$; $m=0$; determinant $73$, signature $-4$, alternating+      mirror:+        number: t^10 - 2*t^9 + 5*t^8 - 8*t^7 + 11*t^6 - 12*t^5 + 12*t^4 - 10*t^3 ++          7*t^2 - 4*t + 1+        comment: the mirror image of $10_{72}$; $m=-10$; signature $4$+    '73':+      K:+        number: -t^10 + 4*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 14*t^5 - 13*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: $10_{73}$; $m=-8$; determinant $83$, signature $2$, alternating;+          the same polynomial as $10_{83}$+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 13*t^6 + 14*t^5 - 13*t^4 + 11*t^3+          - 7*t^2 + 4*t - 1+        comment: the mirror image of $10_{73}$; $m=-2$; signature $-2$; the same polynomial+          as the mirror image of $10_{83}$+    '74':+      K:+        number: t^10 - 2*t^9 + 4*t^8 - 8*t^7 + 9*t^6 - 10*t^5 + 11*t^4 - 8*t^3 + 6*t^2+          - 3*t + 1+        comment: $10_{74}$; $m=-1$; determinant $63$, signature $-2$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 10*t^5 + 9*t^4 - 8*t^3 + 4*t^2+          - 2*t + 1+        comment: the mirror image of $10_{74}$; $m=-9$; signature $2$+    '75':+      K:+        number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 14*t^6 - 13*t^5 + 12*t^4 - 10*t^3+          + 6*t^2 - 3*t + 1+        comment: $10_{75}$; $m=-6$; determinant $81$, signature $0$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 12*t^6 - 13*t^5 + 14*t^4 - 10*t^3+          + 7*t^2 - 4*t + 1+        comment: the mirror image of $10_{75}$; $m=-4$; signature $0$+    '76':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 9*t^6 - 10*t^5 + 8*t^4 - 6*t^3 + 4*t^2+          - t + 1+        comment: $10_{76}$; $m=0$; determinant $57$, signature $-4$, alternating+      mirror:+        number: t^10 - t^9 + 4*t^8 - 6*t^7 + 8*t^6 - 10*t^5 + 9*t^4 - 8*t^3 + 6*t^2+          - 3*t + 1+        comment: the mirror image of $10_{76}$; $m=-10$; signature $4$+    '77':+      K:+        number: -t^10 + 2*t^9 - 4*t^8 + 8*t^7 - 9*t^6 + 11*t^5 - 10*t^4 + 8*t^3 -+          6*t^2 + 3*t - 1+        comment: $10_{77}$; $m=-8$; determinant $63$, signature $2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 9*t^4 + 8*t^3 -+          4*t^2 + 2*t - 1+        comment: the mirror image of $10_{77}$; $m=-2$; signature $-2$+    '78':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 9*t^7 + 11*t^6 - 11*t^5 + 11*t^4 - 8*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{78}$; $m=0$; determinant $69$, signature $-4$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 11*t^5 + 11*t^4 - 9*t^3 ++          5*t^2 - 3*t + 1+        comment: the mirror image of $10_{78}$; $m=-10$; signature $4$+    '79':+      K:+        number: -t^10 + 2*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 11*t^5 - 9*t^4 + 8*t^3 - 5*t^2+          + 2*t - 1+        comment: $10_{79}$; $m=-5$; determinant $61$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '80':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 8*t^3 ++          6*t^2 - 2*t + 1+        comment: $10_{80}$; $m=3$; determinant $71$, signature $-6$, alternating+      mirror:+        number: t^10 - 2*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 10*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{80}$; $m=-13$; signature $6$+    '81':+      K:+        number: -t^10 + 3*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 15*t^5 - 13*t^4 + 11*t^3+          - 7*t^2 + 3*t - 1+        comment: $10_{81}$; $m=-5$; determinant $85$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$; the+          same polynomial as $10_{109}$+    '82':+      K:+        number: t^10 - 3*t^9 + 5*t^8 - 8*t^7 + 10*t^6 - 10*t^5 + 10*t^4 - 7*t^3 ++          5*t^2 - 3*t + 1+        comment: $10_{82}$; $m=-3$; determinant $63$, signature $-2$, alternating+      mirror:+        number: t^10 - 3*t^9 + 5*t^8 - 7*t^7 + 10*t^6 - 10*t^5 + 10*t^4 - 8*t^3 ++          5*t^2 - 3*t + 1+        comment: the mirror image of $10_{82}$; $m=-7$; signature $2$+    '83':+      K:+        number: -t^10 + 4*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 14*t^5 - 13*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: $10_{83}$; $m=-8$; determinant $83$, signature $2$, alternating;+          the same polynomial as $10_{73}$+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 13*t^6 + 14*t^5 - 13*t^4 + 11*t^3+          - 7*t^2 + 4*t - 1+        comment: the mirror image of $10_{83}$; $m=-2$; signature $-2$; the same polynomial+          as the mirror image of $10_{73}$+    '84':+      K:+        number: -t^10 + 4*t^9 - 8*t^8 + 11*t^7 - 14*t^6 + 15*t^5 - 13*t^4 + 11*t^3+          - 6*t^2 + 3*t - 1+        comment: $10_{84}$; $m=-2$; determinant $87$, signature $-2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 11*t^7 - 13*t^6 + 15*t^5 - 14*t^4 + 11*t^3+          - 8*t^2 + 4*t - 1+        comment: the mirror image of $10_{84}$; $m=-8$; signature $2$+    '85':+      K:+        number: -t^10 + 3*t^9 - 4*t^8 + 7*t^7 - 8*t^6 + 9*t^5 - 9*t^4 + 7*t^3 - 5*t^2+          + 3*t - 1+        comment: $10_{85}$; $m=-9$; determinant $57$, signature $4$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 5*t^8 + 7*t^7 - 9*t^6 + 9*t^5 - 8*t^4 + 7*t^3 - 4*t^2+          + 3*t - 1+        comment: the mirror image of $10_{85}$; $m=-1$; signature $-4$+    '86':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 13*t^6 - 14*t^5 + 14*t^4 - 11*t^3+          + 8*t^2 - 4*t + 1+        comment: $10_{86}$; $m=-4$; determinant $85$, signature $0$, alternating;+          the same polynomial as the mirror image of $10_{60}$+      mirror:+        number: t^10 - 4*t^9 + 8*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 13*t^4 - 10*t^3+          + 6*t^2 - 3*t + 1+        comment: the mirror image of $10_{86}$; $m=-6$; signature $0$; the same polynomial+          as $10_{60}$+    '87':+      K:+        number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 13*t^6 - 13*t^5 + 13*t^4 - 10*t^3+          + 6*t^2 - 3*t + 1+        comment: $10_{87}$; $m=-4$; determinant $81$, signature $0$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 13*t^6 - 13*t^5 + 13*t^4 - 10*t^3+          + 7*t^2 - 4*t + 1+        comment: the mirror image of $10_{87}$; $m=-6$; signature $0$+    '88':+      K:+        number: -t^10 + 4*t^9 - 8*t^8 + 13*t^7 - 16*t^6 + 17*t^5 - 16*t^4 + 13*t^3+          - 8*t^2 + 4*t - 1+        comment: $10_{88}$; $m=-5$; determinant $101$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '89':+      K:+        number: -t^10 + 5*t^9 - 9*t^8 + 13*t^7 - 16*t^6 + 17*t^5 - 15*t^4 + 12*t^3+          - 7*t^2 + 3*t - 1+        comment: $10_{89}$; $m=-8$; determinant $99$, signature $2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 7*t^8 + 12*t^7 - 15*t^6 + 17*t^5 - 16*t^4 + 13*t^3+          - 9*t^2 + 5*t - 1+        comment: the mirror image of $10_{89}$; $m=-2$; signature $-2$+    '90':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 13*t^5 + 12*t^4 - 10*t^3 ++          7*t^2 - 3*t + 1+        comment: $10_{90}$; $m=-4$; determinant $77$, signature $0$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 10*t^7 + 12*t^6 - 13*t^5 + 12*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{90}$; $m=-6$; signature $0$+    '91':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 11*t^6 + 13*t^5 - 11*t^4 + 9*t^3 -+          6*t^2 + 3*t - 1+        comment: $10_{91}$; $m=-5$; determinant $73$, signature $0$, alternating;+          chiral, yet $V(t)=V(1/t)$, so the mirror image has the same polynomial;+          the same polynomial as $10_{43}$+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 11*t^6 + 13*t^5 - 11*t^4 + 9*t^3 -+          6*t^2 + 3*t - 1+        comment: the mirror image of $10_{91}$; $m=-5$; signature $0$; the same polynomial+          as $10_{43}$, $10_{91}$+    '92':+      K:+        number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 14*t^6 - 15*t^5 + 14*t^4 - 10*t^3+          + 7*t^2 - 3*t + 1+        comment: $10_{92}$; $m=0$; determinant $89$, signature $-4$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 10*t^7 + 14*t^6 - 15*t^5 + 14*t^4 - 12*t^3+          + 8*t^2 - 4*t + 1+        comment: the mirror image of $10_{92}$; $m=-10$; signature $4$+    '93':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 10*t^4 + 9*t^3 -+          6*t^2 + 3*t - 1+        comment: $10_{93}$; $m=-6$; determinant $67$, signature $2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 10*t^6 + 11*t^5 - 10*t^4 + 8*t^3 -+          5*t^2 + 3*t - 1+        comment: the mirror image of $10_{93}$; $m=-4$; signature $-2$+    '94':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 8*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{94}$; $m=-3$; determinant $71$, signature $-2$, alternating;+          the same polynomial as $10_{41}$+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 8*t^7 + 11*t^6 - 12*t^5 + 11*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{94}$; $m=-7$; signature $2$; the same polynomial+          as the mirror image of $10_{41}$+    '95':+      K:+        number: -t^10 + 4*t^9 - 8*t^8 + 12*t^7 - 14*t^6 + 16*t^5 - 14*t^4 + 11*t^3+          - 7*t^2 + 3*t - 1+        comment: $10_{95}$; $m=-8$; determinant $91$, signature $2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 7*t^8 + 11*t^7 - 14*t^6 + 16*t^5 - 14*t^4 + 12*t^3+          - 8*t^2 + 4*t - 1+        comment: the mirror image of $10_{95}$; $m=-2$; signature $-2$+    '96':+      K:+        number: t^10 - 4*t^9 + 9*t^8 - 12*t^7 + 15*t^6 - 16*t^5 + 14*t^4 - 11*t^3+          + 7*t^2 - 3*t + 1+        comment: $10_{96}$; $m=-6$; determinant $93$, signature $0$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 16*t^5 + 15*t^4 - 12*t^3+          + 9*t^2 - 4*t + 1+        comment: the mirror image of $10_{96}$; $m=-4$; signature $0$+    '97':+      K:+        number: t^10 - 4*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 14*t^4 - 11*t^3+          + 7*t^2 - 3*t + 1+        comment: $10_{97}$; $m=-1$; determinant $87$, signature $-2$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 14*t^4 - 11*t^3+          + 7*t^2 - 4*t + 1+        comment: the mirror image of $10_{97}$; $m=-9$; signature $2$+    '98':+      K:+        number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 12*t^6 - 14*t^5 + 13*t^4 - 9*t^3 ++          7*t^2 - 3*t + 1+        comment: $10_{98}$; $m=0$; determinant $81$, signature $-4$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 9*t^7 + 13*t^6 - 14*t^5 + 12*t^4 - 11*t^3 ++          7*t^2 - 3*t + 1+        comment: the mirror image of $10_{98}$; $m=-10$; signature $4$+    '99':+      K:+        number: -t^10 + 3*t^9 - 7*t^8 + 10*t^7 - 12*t^6 + 15*t^5 - 12*t^4 + 10*t^3+          - 7*t^2 + 3*t - 1+        comment: $10_{99}$; $m=-5$; determinant $81$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '100':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 11*t^5 - 10*t^4 + 8*t^3 -+          6*t^2 + 3*t - 1+        comment: $10_{100}$; $m=-9$; determinant $65$, signature $4$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 8*t^7 - 10*t^6 + 11*t^5 - 9*t^4 + 8*t^3 -+          5*t^2 + 3*t - 1+        comment: the mirror image of $10_{100}$; $m=-1$; signature $-4$+    '101':+      K:+        number: t^10 - 4*t^9 + 7*t^8 - 11*t^7 + 13*t^6 - 14*t^5 + 14*t^4 - 10*t^3+          + 7*t^2 - 3*t + 1+        comment: $10_{101}$; $m=2$; determinant $85$, signature $-4$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 10*t^7 + 14*t^6 - 14*t^5 + 13*t^4 - 11*t^3+          + 7*t^2 - 4*t + 1+        comment: the mirror image of $10_{101}$; $m=-12$; signature $4$+    '102':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 11*t^6 - 12*t^5 + 12*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{102}$; $m=-4$; determinant $73$, signature $0$, alternating+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 12*t^5 + 11*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{102}$; $m=-6$; signature $0$+    '103':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 11*t^6 + 13*t^5 - 12*t^4 + 9*t^3+          - 6*t^2 + 3*t - 1+        comment: $10_{103}$; $m=-8$; determinant $75$, signature $2$, alternating;+          the same polynomial as $10_{40}$+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 9*t^7 - 12*t^6 + 13*t^5 - 11*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: the mirror image of $10_{103}$; $m=-2$; signature $-2$; the same+          polynomial as the mirror image of $10_{40}$+    '104':+      K:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 13*t^5 - 12*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: $10_{104}$; $m=-5$; determinant $77$, signature $0$, alternating;+          chiral, yet $V(t)=V(1/t)$, so the mirror image has the same polynomial;+          the same polynomial as $10_{71}$, the mirror image of $10_{71}$+      mirror:+        number: -t^10 + 3*t^9 - 6*t^8 + 10*t^7 - 12*t^6 + 13*t^5 - 12*t^4 + 10*t^3+          - 6*t^2 + 3*t - 1+        comment: the mirror image of $10_{104}$; $m=-5$; signature $0$; the same polynomial+          as $10_{71}$, the mirror image of $10_{71}$, $10_{104}$+    '105':+      K:+        number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 15*t^6 - 15*t^5 + 14*t^4 - 11*t^3+          + 7*t^2 - 3*t + 1+        comment: $10_{105}$; $m=-3$; determinant $91$, signature $-2$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 15*t^5 + 15*t^4 - 12*t^3+          + 8*t^2 - 4*t + 1+        comment: the mirror image of $10_{105}$; $m=-7$; signature $2$+    '106':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 12*t^6 - 12*t^5 + 12*t^4 - 9*t^3 ++          6*t^2 - 3*t + 1+        comment: $10_{106}$; $m=-3$; determinant $75$, signature $-2$, alternating;+          the same polynomial as $10_{59}$+      mirror:+        number: t^10 - 3*t^9 + 6*t^8 - 9*t^7 + 12*t^6 - 12*t^5 + 12*t^4 - 10*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{106}$; $m=-7$; signature $2$; the same polynomial+          as the mirror image of $10_{59}$+    '107':+      K:+        number: -t^10 + 4*t^9 - 8*t^8 + 12*t^7 - 15*t^6 + 16*t^5 - 14*t^4 + 12*t^3+          - 7*t^2 + 3*t - 1+        comment: $10_{107}$; $m=-5$; determinant $93$, signature $0$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 7*t^8 + 12*t^7 - 14*t^6 + 16*t^5 - 15*t^4 + 12*t^3+          - 8*t^2 + 4*t - 1+        comment: the mirror image of $10_{107}$; $m=-5$; signature $0$+    '108':+      K:+        number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 10*t^6 + 10*t^5 - 9*t^4 + 8*t^3 -+          5*t^2 + 3*t - 1+        comment: $10_{108}$; $m=-4$; determinant $63$, signature $-2$, alternating+      mirror:+        number: -t^10 + 3*t^9 - 5*t^8 + 8*t^7 - 9*t^6 + 10*t^5 - 10*t^4 + 8*t^3 -+          5*t^2 + 3*t - 1+        comment: the mirror image of $10_{108}$; $m=-6$; signature $2$+    '109':+      K:+        number: -t^10 + 3*t^9 - 7*t^8 + 11*t^7 - 13*t^6 + 15*t^5 - 13*t^4 + 11*t^3+          - 7*t^2 + 3*t - 1+        comment: $10_{109}$; $m=-5$; determinant $85$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$; the+          same polynomial as $10_{81}$+    '110':+      K:+        number: t^10 - 3*t^9 + 7*t^8 - 11*t^7 + 13*t^6 - 14*t^5 + 13*t^4 - 10*t^3+          + 7*t^2 - 3*t + 1+        comment: $10_{110}$; $m=-3$; determinant $83$, signature $-2$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 10*t^7 + 13*t^6 - 14*t^5 + 13*t^4 - 11*t^3+          + 7*t^2 - 3*t + 1+        comment: the mirror image of $10_{110}$; $m=-7$; signature $2$+    '111':+      K:+        number: t^10 - 3*t^9 + 6*t^8 - 10*t^7 + 12*t^6 - 13*t^5 + 12*t^4 - 9*t^3 ++          7*t^2 - 3*t + 1+        comment: $10_{111}$; $m=0$; determinant $77$, signature $-4$, alternating+      mirror:+        number: t^10 - 3*t^9 + 7*t^8 - 9*t^7 + 12*t^6 - 13*t^5 + 12*t^4 - 10*t^3 ++          6*t^2 - 3*t + 1+        comment: the mirror image of $10_{111}$; $m=-10$; signature $4$+    '112':+      K:+        number: t^10 - 4*t^9 + 7*t^8 - 10*t^7 + 14*t^6 - 14*t^5 + 14*t^4 - 11*t^3+          + 7*t^2 - 4*t + 1+        comment: $10_{112}$; $m=-7$; determinant $87$, signature $2$, alternating+      mirror:+        number: t^10 - 4*t^9 + 7*t^8 - 11*t^7 + 14*t^6 - 14*t^5 + 14*t^4 - 10*t^3+          + 7*t^2 - 4*t + 1+        comment: the mirror image of $10_{112}$; $m=-3$; signature $-2$+    '113':+      K:+        number: -t^10 + 5*t^9 - 10*t^8 + 14*t^7 - 18*t^6 + 19*t^5 - 17*t^4 + 14*t^3+          - 8*t^2 + 4*t - 1+        comment: $10_{113}$; $m=-2$; determinant $111$, signature $-2$, alternating+      mirror:+        number: -t^10 + 4*t^9 - 8*t^8 + 14*t^7 - 17*t^6 + 19*t^5 - 18*t^4 + 14*t^3+          - 10*t^2 + 5*t - 1+        comment: the mirror image of $10_{113}$; $m=-8$; signature $2$+    '114':+      K:+        number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 15*t^6 - 15*t^5 + 15*t^4 - 11*t^3+          + 7*t^2 - 4*t + 1+        comment: $10_{114}$; $m=-6$; determinant $93$, signature $0$, alternating+      mirror:+        number: t^10 - 4*t^9 + 7*t^8 - 11*t^7 + 15*t^6 - 15*t^5 + 15*t^4 - 12*t^3+          + 8*t^2 - 4*t + 1+        comment: the mirror image of $10_{114}$; $m=-4$; signature $0$+    '115':+      K:+        number: -t^10 + 4*t^9 - 9*t^8 + 14*t^7 - 17*t^6 + 19*t^5 - 17*t^4 + 14*t^3+          - 9*t^2 + 4*t - 1+        comment: $10_{115}$; $m=-5$; determinant $109$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '116':+      K:+        number: t^10 - 4*t^9 + 8*t^8 - 11*t^7 + 15*t^6 - 16*t^5 + 15*t^4 - 12*t^3+          + 8*t^2 - 4*t + 1+        comment: $10_{116}$; $m=-7$; determinant $95$, signature $2$, alternating+      mirror:+        number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 15*t^6 - 16*t^5 + 15*t^4 - 11*t^3+          + 8*t^2 - 4*t + 1+        comment: the mirror image of $10_{116}$; $m=-3$; signature $-2$+    '117':+      K:+        number: -t^10 + 4*t^9 - 8*t^8 + 13*t^7 - 16*t^6 + 18*t^5 - 16*t^4 + 13*t^3+          - 9*t^2 + 4*t - 1+        comment: $10_{117}$; $m=-8$; determinant $103$, signature $2$, alternating+      mirror:+        number: -t^10 + 4*t^9 - 9*t^8 + 13*t^7 - 16*t^6 + 18*t^5 - 16*t^4 + 13*t^3+          - 8*t^2 + 4*t - 1+        comment: the mirror image of $10_{117}$; $m=-2$; signature $-2$+    '118':+      K:+        number: -t^10 + 4*t^9 - 8*t^8 + 12*t^7 - 15*t^6 + 17*t^5 - 15*t^4 + 12*t^3+          - 8*t^2 + 4*t - 1+        comment: $10_{118}$; $m=-5$; determinant $97$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '119':+      K:+        number: t^10 - 4*t^9 + 9*t^8 - 13*t^7 + 16*t^6 - 17*t^5 + 16*t^4 - 12*t^3+          + 8*t^2 - 4*t + 1+        comment: $10_{119}$; $m=-6$; determinant $101$, signature $0$, alternating+      mirror:+        number: t^10 - 4*t^9 + 8*t^8 - 12*t^7 + 16*t^6 - 17*t^5 + 16*t^4 - 13*t^3+          + 9*t^2 - 4*t + 1+        comment: the mirror image of $10_{119}$; $m=-4$; signature $0$+    '120':+      K:+        number: t^10 - 4*t^9 + 8*t^8 - 13*t^7 + 16*t^6 - 18*t^5 + 17*t^4 - 13*t^3+          + 10*t^2 - 4*t + 1+        comment: $10_{120}$; $m=2$; determinant $105$, signature $-4$, alternating+      mirror:+        number: t^10 - 4*t^9 + 10*t^8 - 13*t^7 + 17*t^6 - 18*t^5 + 16*t^4 - 13*t^3+          + 8*t^2 - 4*t + 1+        comment: the mirror image of $10_{120}$; $m=-12$; signature $4$+    '121':+      K:+        number: -t^10 + 4*t^9 - 9*t^8 + 14*t^7 - 18*t^6 + 20*t^5 - 18*t^4 + 15*t^3+          - 10*t^2 + 5*t - 1+        comment: $10_{121}$; $m=-2$; determinant $115$, signature $-2$, alternating+      mirror:+        number: -t^10 + 5*t^9 - 10*t^8 + 15*t^7 - 18*t^6 + 20*t^5 - 18*t^4 + 14*t^3+          - 9*t^2 + 4*t - 1+        comment: the mirror image of $10_{121}$; $m=-8$; signature $2$+    '122':+      K:+        number: t^10 - 4*t^9 + 8*t^8 - 13*t^7 + 17*t^6 - 17*t^5 + 17*t^4 - 13*t^3+          + 9*t^2 - 5*t + 1+        comment: $10_{122}$; $m=-6$; determinant $105$, signature $0$, alternating+      mirror:+        number: t^10 - 5*t^9 + 9*t^8 - 13*t^7 + 17*t^6 - 17*t^5 + 17*t^4 - 13*t^3+          + 8*t^2 - 4*t + 1+        comment: the mirror image of $10_{122}$; $m=-4$; signature $0$+    '123':+      K:+        number: -t^10 + 5*t^9 - 10*t^8 + 15*t^7 - 19*t^6 + 21*t^5 - 19*t^4 + 15*t^3+          - 10*t^2 + 5*t - 1+        comment: $10_{123}$; $m=-5$; determinant $121$, signature $0$, alternating;+          amphichiral, so the mirror image is the same knot and $V(t)=V(1/t)$+    '124':+      K:+        number: -t^6 + t^2 + 1+        comment: $10_{124}$, the torus knot $T(3,5)$; $m=4$; determinant $1$, signature+          $-8$, non-alternating+      mirror:+        number: t^6 + t^4 - 1+        comment: the mirror image of $10_{124}$; $m=-10$; signature $8$+    '125':+      K:+        number: -t^8 + t^7 - t^6 + 2*t^5 - t^4 + 2*t^3 - t^2 + t - 1+        comment: $10_{125}$; $m=-4$; determinant $11$, signature $2$, non-alternating;+          chiral, yet $V(t)=V(1/t)$, so the mirror image has the same polynomial+      mirror:+        number: -t^8 + t^7 - t^6 + 2*t^5 - t^4 + 2*t^3 - t^2 + t - 1+        comment: the mirror image of $10_{125}$; $m=-4$; signature $-2$; the same+          polynomial as $10_{125}$+    '126':+      K:+        number: -t^8 + 2*t^7 - 2*t^6 + 4*t^5 - 3*t^4 + 3*t^3 - 2*t^2 + t - 1+        comment: $10_{126}$; $m=-8$; determinant $19$, signature $2$, non-alternating+      mirror:+        number: -t^8 + t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 4*t^3 - 2*t^2 + 2*t - 1+        comment: the mirror image of $10_{126}$; $m=0$; signature $-2$+    '127':+      K:+        number: t^8 - 2*t^7 + 3*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 2*t + 2+        comment: $10_{127}$; $m=2$; determinant $29$, signature $-4$, non-alternating+      mirror:+        number: 2*t^8 - 2*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 3*t^2 - 2*t + 1+        comment: the mirror image of $10_{127}$; $m=-10$; signature $4$+    '128':+      K:+        number: -t^7 + t^6 - 2*t^5 + 2*t^4 - t^3 + 2*t^2 - t + 1+        comment: $10_{128}$; $m=3$; determinant $11$, signature $-6$, non-alternating+      mirror:+        number: t^7 - t^6 + 2*t^5 - t^4 + 2*t^3 - 2*t^2 + t - 1+        comment: the mirror image of $10_{128}$; $m=-10$; signature $6$+    '129':+      K:+        number: -t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 4*t^4 + 5*t^3 - 3*t^2 + 2*t - 1+        comment: $10_{129}$; $m=-3$; determinant $25$, signature $0$, non-alternating;+          the same polynomial as the mirror image of $8_8$+      mirror:+        number: -t^8 + 2*t^7 - 3*t^6 + 5*t^5 - 4*t^4 + 4*t^3 - 3*t^2 + 2*t - 1+        comment: the mirror image of $10_{129}$; $m=-5$; signature $0$; the same polynomial+          as $8_8$+    '130':+      K:+        number: -t^8 + 2*t^7 - 2*t^6 + 3*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + t - 1+        comment: $10_{130}$; $m=-7$; determinant $17$, signature $0$, non-alternating+      mirror:+        number: -t^8 + t^7 - 2*t^6 + 3*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + 2*t - 1+        comment: the mirror image of $10_{130}$; $m=-1$; signature $0$+    '131':+      K:+        number: t^8 - 2*t^7 + 3*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 5*t^2 - 3*t + 2+        comment: $10_{131}$; $m=1$; determinant $31$, signature $-2$, non-alternating+      mirror:+        number: 2*t^8 - 3*t^7 + 5*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 3*t^2 - 2*t + 1+        comment: the mirror image of $10_{131}$; $m=-9$; signature $2$+    '132':+      K:+        number: t^5 + t^3 - t^2 + t - 1+        comment: $10_{132}$; $m=-7$; determinant $5$, signature $0$, non-alternating;+          the same polynomial as the mirror image of $5_1$+      mirror:+        number: -t^5 + t^4 - t^3 + t^2 + 1+        comment: the mirror image of $10_{132}$; $m=2$; signature $0$; the same polynomial+          as $5_1$+    '133':+      K:+        number: t^8 - 2*t^7 + 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - t + 1+        comment: $10_{133}$; $m=1$; determinant $19$, signature $-2$, non-alternating+      mirror:+        number: t^8 - t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 2*t^2 - 2*t + 1+        comment: the mirror image of $10_{133}$; $m=-9$; signature $2$+    '134':+      K:+        number: t^8 - 3*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - t + 1+        comment: $10_{134}$; $m=3$; determinant $23$, signature $-6$, non-alternating+      mirror:+        number: t^8 - t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 3*t + 1+        comment: the mirror image of $10_{134}$; $m=-11$; signature $6$+    '135':+      K:+        number: -t^8 + 2*t^7 - 4*t^6 + 6*t^5 - 6*t^4 + 7*t^3 - 5*t^2 + 4*t - 2+        comment: $10_{135}$; $m=-3$; determinant $37$, signature $0$, non-alternating+      mirror:+        number: -2*t^8 + 4*t^7 - 5*t^6 + 7*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 2*t - 1+        comment: the mirror image of $10_{135}$; $m=-5$; signature $0$+    '136':+      K:+        number: t^7 - 2*t^6 + 2*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + 2*t - 1+        comment: $10_{136}$; $m=-4$; determinant $15$, signature $2$, non-alternating+      mirror:+        number: -t^7 + 2*t^6 - 2*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - 2*t + 1+        comment: the mirror image of $10_{136}$; $m=-3$; signature $-2$+    '137':+      K:+        number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 4*t^2 - 2*t + 1+        comment: $10_{137}$; $m=-2$; determinant $25$, signature $0$, non-alternating;+          the same polynomial as the mirror image of $10_{155}$+      mirror:+        number: t^8 - 2*t^7 + 4*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t + 1+        comment: the mirror image of $10_{137}$; $m=-6$; signature $0$; the same polynomial+          as $10_{155}$+    '138':+      K:+        number: 2*t^8 - 4*t^7 + 5*t^6 - 6*t^5 + 6*t^4 - 5*t^3 + 4*t^2 - 2*t + 1+        comment: $10_{138}$; $m=-3$; determinant $35$, signature $-2$, non-alternating+      mirror:+        number: t^8 - 2*t^7 + 4*t^6 - 5*t^5 + 6*t^4 - 6*t^3 + 5*t^2 - 4*t + 2+        comment: the mirror image of $10_{138}$; $m=-5$; signature $2$+    '139':+      K:+        number: -t^8 + t^7 - t^6 + t^5 - t^4 + t^2 + 1+        comment: $10_{139}$; $m=4$; determinant $3$, signature $-6$, non-alternating+      mirror:+        number: t^8 + t^6 - t^4 + t^3 - t^2 + t - 1+        comment: the mirror image of $10_{139}$; $m=-12$; signature $6$+    '140':+      K:+        number: -t^7 + t^6 - t^5 + 2*t^4 - t^3 + t^2 - t + 1+        comment: $10_{140}$; $m=0$; determinant $9$, signature $0$, non-alternating+      mirror:+        number: t^7 - t^6 + t^5 - t^4 + 2*t^3 - t^2 + t - 1+        comment: the mirror image of $10_{140}$; $m=-7$; signature $0$+    '141':+      K:+        number: t^8 - 2*t^7 + 2*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t + 1+        comment: $10_{141}$; $m=-2$; determinant $21$, signature $0$, non-alternating+      mirror:+        number: t^8 - 2*t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 2*t^2 - 2*t + 1+        comment: the mirror image of $10_{141}$; $m=-6$; signature $0$+    '142':+      K:+        number: -2*t^7 + 2*t^6 - 2*t^5 + 3*t^4 - 2*t^3 + 2*t^2 - t + 1+        comment: $10_{142}$; $m=3$; determinant $15$, signature $-6$, non-alternating+      mirror:+        number: t^7 - t^6 + 2*t^5 - 2*t^4 + 3*t^3 - 2*t^2 + 2*t - 2+        comment: the mirror image of $10_{142}$; $m=-10$; signature $6$+    '143':+      K:+        number: -t^8 + 3*t^7 - 3*t^6 + 5*t^5 - 5*t^4 + 4*t^3 - 3*t^2 + 2*t - 1+        comment: $10_{143}$; $m=-8$; determinant $27$, signature $2$, non-alternating+      mirror:+        number: -t^8 + 2*t^7 - 3*t^6 + 4*t^5 - 5*t^4 + 5*t^3 - 3*t^2 + 3*t - 1+        comment: the mirror image of $10_{143}$; $m=0$; signature $-2$+    '144':+      K:+        number: t^8 - 3*t^7 + 5*t^6 - 6*t^5 + 7*t^4 - 7*t^3 + 5*t^2 - 3*t + 2+        comment: $10_{144}$; $m=-1$; determinant $39$, signature $-2$, non-alternating+      mirror:+        number: 2*t^8 - 3*t^7 + 5*t^6 - 7*t^5 + 7*t^4 - 6*t^3 + 5*t^2 - 3*t + 1+        comment: the mirror image of $10_{144}$; $m=-7$; signature $2$+    '145':+      K:+        number: t^8 + t^3 - t^2 + t - 1+        comment: $10_{145}$; $m=-10$; determinant $3$, signature $2$, non-alternating+      mirror:+        number: -t^8 + t^7 - t^6 + t^5 + 1+        comment: the mirror image of $10_{145}$; $m=2$; signature $-2$+    '146':+      K:+        number: -t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 6*t^4 + 5*t^3 - 4*t^2 + 3*t - 1+        comment: $10_{146}$; $m=-5$; determinant $33$, signature $0$, non-alternating+      mirror:+        number: -t^8 + 3*t^7 - 4*t^6 + 5*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 3*t - 1+        comment: the mirror image of $10_{146}$; $m=-3$; signature $0$+    '147':+      K:+        number: t^8 - 3*t^7 + 4*t^6 - 4*t^5 + 5*t^4 - 4*t^3 + 3*t^2 - 2*t + 1+        comment: $10_{147}$; $m=-3$; determinant $27$, signature $-2$, non-alternating+      mirror:+        number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 5*t^4 - 4*t^3 + 4*t^2 - 3*t + 1+        comment: the mirror image of $10_{147}$; $m=-5$; signature $2$+    '148':+      K:+        number: -t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 5*t^4 + 5*t^3 - 4*t^2 + 2*t - 1+        comment: $10_{148}$; $m=-8$; determinant $31$, signature $2$, non-alternating+      mirror:+        number: -t^8 + 2*t^7 - 4*t^6 + 5*t^5 - 5*t^4 + 6*t^3 - 4*t^2 + 3*t - 1+        comment: the mirror image of $10_{148}$; $m=0$; signature $-2$+    '149':+      K:+        number: t^8 - 3*t^7 + 5*t^6 - 7*t^5 + 7*t^4 - 7*t^3 + 6*t^2 - 3*t + 2+        comment: $10_{149}$; $m=2$; determinant $41$, signature $-4$, non-alternating+      mirror:+        number: 2*t^8 - 3*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 7*t^3 + 5*t^2 - 3*t + 1+        comment: the mirror image of $10_{149}$; $m=-10$; signature $4$+    '150':+      K:+        number: t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 4*t^3 + 4*t^2 - 2*t + 1+        comment: $10_{150}$; $m=0$; determinant $29$, signature $-4$, non-alternating+      mirror:+        number: t^8 - 2*t^7 + 4*t^6 - 4*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 3*t + 1+        comment: the mirror image of $10_{150}$; $m=-8$; signature $4$+    '151':+      K:+        number: -t^8 + 3*t^7 - 5*t^6 + 7*t^5 - 7*t^4 + 8*t^3 - 6*t^2 + 4*t - 2+        comment: $10_{151}$; $m=-6$; determinant $43$, signature $2$, non-alternating+      mirror:+        number: -2*t^8 + 4*t^7 - 6*t^6 + 8*t^5 - 7*t^4 + 7*t^3 - 5*t^2 + 3*t - 1+        comment: the mirror image of $10_{151}$; $m=-2$; signature $-2$+    '152':+      K:+        number: t^9 - 2*t^8 + 2*t^7 - 3*t^6 + 2*t^5 - 2*t^4 + t^3 + t^2 + 1+        comment: $10_{152}$; $m=4$; determinant $11$, signature $-6$, non-alternating+      mirror:+        number: t^9 + t^7 + t^6 - 2*t^5 + 2*t^4 - 3*t^3 + 2*t^2 - 2*t + 1+        comment: the mirror image of $10_{152}$; $m=-13$; signature $6$+    '153':+      K:+        number: -t^9 + t^8 - t^7 + t^6 + t^5 + t^3 - t^2 + t - 1+        comment: $10_{153}$; $m=-5$; determinant $1$, signature $0$, non-alternating+      mirror:+        number: -t^9 + t^8 - t^7 + t^6 + t^4 + t^3 - t^2 + t - 1+        comment: the mirror image of $10_{153}$; $m=-4$; signature $0$+    '154':+      K:+        number: t^9 - 2*t^8 + 2*t^7 - 3*t^6 + 2*t^5 - 2*t^4 + 2*t^3 + 1+        comment: $10_{154}$; $m=3$; determinant $13$, signature $-4$, non-alternating+      mirror:+        number: t^9 + 2*t^6 - 2*t^5 + 2*t^4 - 3*t^3 + 2*t^2 - 2*t + 1+        comment: the mirror image of $10_{154}$; $m=-12$; signature $4$+    '155':+      K:+        number: t^8 - 2*t^7 + 4*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 3*t^2 - 2*t + 1+        comment: $10_{155}$; $m=-6$; determinant $25$, signature $0$, non-alternating;+          the same polynomial as the mirror image of $10_{137}$+      mirror:+        number: t^8 - 2*t^7 + 3*t^6 - 4*t^5 + 4*t^4 - 4*t^3 + 4*t^2 - 2*t + 1+        comment: the mirror image of $10_{155}$; $m=-2$; signature $0$; the same polynomial+          as $10_{137}$+    '156':+      K:+        number: -t^8 + 3*t^7 - 4*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 5*t^2 + 3*t - 1+        comment: $10_{156}$; $m=-6$; determinant $35$, signature $2$, non-alternating;+          the same polynomial as $8_{16}$+      mirror:+        number: -t^8 + 3*t^7 - 5*t^6 + 6*t^5 - 6*t^4 + 6*t^3 - 4*t^2 + 3*t - 1+        comment: the mirror image of $10_{156}$; $m=-2$; signature $-2$; the same+          polynomial as the mirror image of $8_{16}$+    '157':+      K:+        number: 2*t^8 - 4*t^7 + 7*t^6 - 8*t^5 + 9*t^4 - 8*t^3 + 6*t^2 - 4*t + 1+        comment: $10_{157}$; $m=-10$; determinant $49$, signature $4$, non-alternating+      mirror:+        number: t^8 - 4*t^7 + 6*t^6 - 8*t^5 + 9*t^4 - 8*t^3 + 7*t^2 - 4*t + 2+        comment: the mirror image of $10_{157}$; $m=2$; signature $-4$+    '158':+      K:+        number: 2*t^8 - 4*t^7 + 6*t^6 - 8*t^5 + 8*t^4 - 7*t^3 + 6*t^2 - 3*t + 1+        comment: $10_{158}$; $m=-4$; determinant $45$, signature $0$, non-alternating+      mirror:+        number: t^8 - 3*t^7 + 6*t^6 - 7*t^5 + 8*t^4 - 8*t^3 + 6*t^2 - 4*t + 2+        comment: the mirror image of $10_{158}$; $m=-4$; signature $0$+    '159':+      K:+        number: -t^8 + 3*t^7 - 5*t^6 + 6*t^5 - 7*t^4 + 7*t^3 - 5*t^2 + 4*t - 1+        comment: $10_{159}$; $m=0$; determinant $39$, signature $-2$, non-alternating+      mirror:+        number: -t^8 + 4*t^7 - 5*t^6 + 7*t^5 - 7*t^4 + 6*t^3 - 5*t^2 + 3*t - 1+        comment: the mirror image of $10_{159}$; $m=-8$; signature $2$+    '160':+      K:+        number: -2*t^7 + 3*t^6 - 3*t^5 + 4*t^4 - 3*t^3 + 3*t^2 - 2*t + 1+        comment: $10_{160}$; $m=0$; determinant $21$, signature $-4$, non-alternating+      mirror:+        number: t^7 - 2*t^6 + 3*t^5 - 3*t^4 + 4*t^3 - 3*t^2 + 3*t - 2+        comment: the mirror image of $10_{160}$; $m=-7$; signature $4$+    '161':+      K:+        number: -t^8 + t^7 - t^6 + t^5 - t^4 + t^3 + 1+        comment: $10_{161}$, the Perko pair, listed twice by Rolfsen as $10_{161}$+          and $10_{162}$; $m=3$; determinant $5$, signature $-4$, non-alternating+      mirror:+        number: t^8 + t^5 - t^4 + t^3 - t^2 + t - 1+        comment: the mirror image of $10_{161}$, the Perko pair, listed twice by Rolfsen+          as $10_{161}$ and $10_{162}$; $m=-11$; signature $4$+    '162':+      K:+        number: 2*t^8 - 3*t^7 + 5*t^6 - 6*t^5 + 6*t^4 - 6*t^3 + 4*t^2 - 2*t + 1+        comment: $10_{162}$; $m=-7$; determinant $35$, signature $2$, non-alternating+      mirror:+        number: t^8 - 2*t^7 + 4*t^6 - 6*t^5 + 6*t^4 - 6*t^3 + 5*t^2 - 3*t + 2+        comment: the mirror image of $10_{162}$; $m=-1$; signature $-2$+    '163':+      K:+        number: -2*t^8 + 5*t^7 - 7*t^6 + 9*t^5 - 9*t^4 + 8*t^3 - 6*t^2 + 4*t - 1+        comment: $10_{163}$; $m=-2$; determinant $51$, signature $-2$, non-alternating+      mirror:+        number: -t^8 + 4*t^7 - 6*t^6 + 8*t^5 - 9*t^4 + 9*t^3 - 7*t^2 + 5*t - 2+        comment: the mirror image of $10_{163}$; $m=-6$; signature $2$+    '164':+      K:+        number: -2*t^8 + 5*t^7 - 6*t^6 + 8*t^5 - 8*t^4 + 7*t^3 - 5*t^2 + 3*t - 1+        comment: $10_{164}$; $m=-5$; determinant $45$, signature $0$, non-alternating+      mirror:+        number: -t^8 + 3*t^7 - 5*t^6 + 7*t^5 - 8*t^4 + 8*t^3 - 6*t^2 + 5*t - 2+        comment: the mirror image of $10_{164}$; $m=-3$; signature $0$+    '165':+      K:+        number: 2*t^8 - 4*t^7 + 6*t^6 - 6*t^5 + 7*t^4 - 6*t^3 + 4*t^2 - 3*t + 1+        comment: $10_{165}$; $m=-9$; determinant $39$, signature $2$, non-alternating+      mirror:+        number: t^8 - 3*t^7 + 4*t^6 - 6*t^5 + 7*t^4 - 6*t^3 + 6*t^2 - 4*t + 2+        comment: the mirror image of $10_{165}$; $m=1$; signature $-2$ 

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