back to table · edit · history · where entries came from · files
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 $-2$
Sign in to restore an earlier version.