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

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

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

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 Display properties:   number-header: $t^{-m}V_K(t)$-Numbers: []+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 $-2$ 

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