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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:
type: Symbolic title: the knot $K=n_k$ as KnotInfo draws it, or its mirror image $\bar K$+ display: knot values: K: $K$
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
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 $t^{-1}V(L_+)-t\,V(L_-)=(t^{1/2}-t^{-1/2})\,V(L_0)$
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
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
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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