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Display properties: number-header: $\Delta_{n_k}(t)$-Numbers: []+Numbers:+- params:+ n: '0'+ k: '1'+ number: '1'+ comment: $0_1$, the unknot; genus $0$; the first nontrivial knots with $\Delta=1$+ are $11n_{34}$, the Conway knot, and $11n_{42}$, the Kinoshita–Terasaka knot+ equals: HREF{One}+- params:+ n: '3'+ k: '1'+ number: t^2 - t + 1+ comment: $3_1$, the trefoil; the torus knot $T(2,3)$; determinant $3$, genus $1$,+ alternating+ equals: HREF{Cyclotomic_polynomials#6}[$\Phi_{6}$]+- params:+ n: '4'+ k: '1'+ number: t^2 - 3*t + 1+ comment: $4_1$, the figure-eight knot; determinant $5$, genus $1$, alternating+- params:+ n: '5'+ k: '1'+ number: t^4 - t^3 + t^2 - t + 1+ comment: $5_1$, the cinquefoil; the torus knot $T(2,5)$; determinant $5$, genus+ $2$, alternating; the same polynomial as $10_{132}$+ equals: HREF{Cyclotomic_polynomials#10}[$\Phi_{10}$]+- params:+ n: '5'+ k: '2'+ number: 2*t^2 - 3*t + 2+ comment: $5_2$, the three-twist knot; determinant $7$, genus $1$, alternating+- params:+ n: '6'+ k: '1'+ number: 2*t^2 - 5*t + 2+ comment: $6_1$, the stevedore knot; determinant $9$, genus $1$, alternating; the+ same polynomial as $9_{46}$+- params:+ n: '6'+ k: '2'+ number: t^4 - 3*t^3 + 3*t^2 - 3*t + 1+ comment: $6_2$, the Miller Institute knot; determinant $11$, genus $2$, alternating+- params:+ n: '6'+ k: '3'+ number: t^4 - 3*t^3 + 5*t^2 - 3*t + 1+ comment: $6_3$; determinant $13$, genus $2$, alternating+- params:+ n: '7'+ k: '1'+ number: t^6 - t^5 + t^4 - t^3 + t^2 - t + 1+ comment: $7_1$; the torus knot $T(2,7)$; determinant $7$, genus $3$, alternating+ equals: HREF{Cyclotomic_polynomials#14}[$\Phi_{14}$]+- params:+ n: '7'+ k: '2'+ number: 3*t^2 - 5*t + 3+ comment: $7_2$; determinant $11$, genus $1$, alternating+- params:+ n: '7'+ k: '3'+ number: 2*t^4 - 3*t^3 + 3*t^2 - 3*t + 2+ comment: $7_3$; determinant $13$, genus $2$, alternating+- params:+ n: '7'+ k: '4'+ number: 4*t^2 - 7*t + 4+ comment: $7_4$, the endless knot; determinant $15$, genus $1$, alternating; the+ same polynomial as $9_2$+- params:+ n: '7'+ k: '5'+ number: 2*t^4 - 4*t^3 + 5*t^2 - 4*t + 2+ comment: $7_5$; determinant $17$, genus $2$, alternating; the same polynomial as+ $10_{130}$+- params:+ n: '7'+ k: '6'+ number: t^4 - 5*t^3 + 7*t^2 - 5*t + 1+ comment: $7_6$; determinant $19$, genus $2$, alternating; the same polynomial as+ $10_{133}$+- params:+ n: '7'+ k: '7'+ number: t^4 - 5*t^3 + 9*t^2 - 5*t + 1+ comment: $7_7$; determinant $21$, genus $2$, alternating+- params:+ n: '8'+ k: '1'+ number: 3*t^2 - 7*t + 3+ comment: $8_1$; determinant $13$, genus $1$, alternating+- params:+ n: '8'+ k: '2'+ number: t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - 3*t + 1+ comment: $8_2$; determinant $17$, genus $3$, alternating+- params:+ n: '8'+ k: '3'+ number: 4*t^2 - 9*t + 4+ comment: $8_3$; determinant $17$, genus $1$, alternating; the same polynomial as+ $10_1$+- params:+ n: '8'+ k: '4'+ number: 2*t^4 - 5*t^3 + 5*t^2 - 5*t + 2+ comment: $8_4$; determinant $19$, genus $2$, alternating+- params:+ n: '8'+ k: '5'+ number: t^6 - 3*t^5 + 4*t^4 - 5*t^3 + 4*t^2 - 3*t + 1+ comment: $8_5$; determinant $21$, genus $3$, alternating; the same polynomial as+ $10_{141}$+- params:+ n: '8'+ k: '6'+ number: 2*t^4 - 6*t^3 + 7*t^2 - 6*t + 2+ comment: $8_6$; determinant $23$, genus $2$, alternating+- params:+ n: '8'+ k: '7'+ number: t^6 - 3*t^5 + 5*t^4 - 5*t^3 + 5*t^2 - 3*t + 1+ comment: $8_7$; determinant $23$, genus $3$, alternating+- params:+ n: '8'+ k: '8'+ number: 2*t^4 - 6*t^3 + 9*t^2 - 6*t + 2+ comment: $8_8$; determinant $25$, genus $2$, alternating; the same polynomial as+ $10_{129}$+- params:+ n: '8'+ k: '9'+ number: t^6 - 3*t^5 + 5*t^4 - 7*t^3 + 5*t^2 - 3*t + 1+ comment: $8_9$; determinant $25$, genus $3$, alternating; the same polynomial as+ $10_{155}$+- params:+ n: '8'+ k: '10'+ number: t^6 - 3*t^5 + 6*t^4 - 7*t^3 + 6*t^2 - 3*t + 1+ comment: $8_{10}$; determinant $27$, genus $3$, alternating; the same polynomial+ as $10_{143}$+- params:+ n: '8'+ k: '11'+ number: 2*t^4 - 7*t^3 + 9*t^2 - 7*t + 2+ comment: $8_{11}$; determinant $27$, genus $2$, alternating; the same polynomial+ as $10_{147}$+- params:+ n: '8'+ k: '12'+ number: t^4 - 7*t^3 + 13*t^2 - 7*t + 1+ comment: $8_{12}$; determinant $29$, genus $2$, alternating+- params:+ n: '8'+ k: '13'+ number: 2*t^4 - 7*t^3 + 11*t^2 - 7*t + 2+ comment: $8_{13}$; determinant $29$, genus $2$, alternating+- params:+ n: '8'+ k: '14'+ number: 2*t^4 - 8*t^3 + 11*t^2 - 8*t + 2+ comment: $8_{14}$; determinant $31$, genus $2$, alternating; the same polynomial+ as $9_8$, $10_{131}$+- params:+ n: '8'+ k: '15'+ number: 3*t^4 - 8*t^3 + 11*t^2 - 8*t + 3+ comment: $8_{15}$; determinant $33$, genus $2$, alternating+- params:+ n: '8'+ k: '16'+ number: t^6 - 4*t^5 + 8*t^4 - 9*t^3 + 8*t^2 - 4*t + 1+ comment: $8_{16}$; determinant $35$, genus $3$, alternating; the same polynomial+ as $10_{156}$+- params:+ n: '8'+ k: '17'+ number: t^6 - 4*t^5 + 8*t^4 - 11*t^3 + 8*t^2 - 4*t + 1+ comment: $8_{17}$; determinant $37$, genus $3$, alternating+- params:+ n: '8'+ k: '18'+ number: t^6 - 5*t^5 + 10*t^4 - 13*t^3 + 10*t^2 - 5*t + 1+ comment: $8_{18}$, the Carrick mat; determinant $45$, genus $3$, alternating; the+ same polynomial as $9_{24}$+- params:+ n: '8'+ k: '19'+ number: t^6 - t^5 + t^3 - t + 1+ comment: $8_{19}$; the torus knot $T(3,4)$; determinant $3$, genus $3$, non-alternating;+ $\Delta=\Phi_6\Phi_{12}$+- params:+ n: '8'+ k: '20'+ number: t^4 - 2*t^3 + 3*t^2 - 2*t + 1+ comment: $8_{20}$; determinant $9$, genus $2$, non-alternating; $\Delta=\Phi_6^2$,+ also the Alexander polynomial of the granny and square knots $3_1\#3_1$ and $3_1\#\bar{3}_1$;+ the same polynomial as $10_{140}$+- params:+ n: '8'+ k: '21'+ number: t^4 - 4*t^3 + 5*t^2 - 4*t + 1+ comment: $8_{21}$; determinant $15$, genus $2$, non-alternating; the same polynomial+ as $10_{136}$+- params:+ n: '9'+ k: '1'+ number: t^8 - t^7 + t^6 - t^5 + t^4 - t^3 + t^2 - t + 1+ comment: $9_1$; the torus knot $T(2,9)$; determinant $9$, genus $4$, alternating;+ $\Delta=\Phi_6\Phi_{18}$+- params:+ n: '9'+ k: '2'+ number: 4*t^2 - 7*t + 4+ comment: $9_2$; determinant $15$, genus $1$, alternating; the same polynomial as+ $7_4$+- params:+ n: '9'+ k: '3'+ number: 2*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - 3*t + 2+ comment: $9_3$; determinant $19$, genus $3$, alternating+- params:+ n: '9'+ k: '4'+ number: 3*t^4 - 5*t^3 + 5*t^2 - 5*t + 3+ comment: $9_4$; determinant $21$, genus $2$, alternating+- params:+ n: '9'+ k: '5'+ number: 6*t^2 - 11*t + 6+ comment: $9_5$; determinant $23$, genus $1$, alternating+- params:+ n: '9'+ k: '6'+ number: 2*t^6 - 4*t^5 + 5*t^4 - 5*t^3 + 5*t^2 - 4*t + 2+ comment: $9_6$; determinant $27$, genus $3$, alternating+- params:+ n: '9'+ k: '7'+ number: 3*t^4 - 7*t^3 + 9*t^2 - 7*t + 3+ comment: $9_7$; determinant $29$, genus $2$, alternating+- params:+ n: '9'+ k: '8'+ number: 2*t^4 - 8*t^3 + 11*t^2 - 8*t + 2+ comment: $9_8$; determinant $31$, genus $2$, alternating; the same polynomial as+ $8_{14}$, $10_{131}$+- params:+ n: '9'+ k: '9'+ number: 2*t^6 - 4*t^5 + 6*t^4 - 7*t^3 + 6*t^2 - 4*t + 2+ comment: $9_9$; determinant $31$, genus $3$, alternating+- params:+ n: '9'+ k: '10'+ number: 4*t^4 - 8*t^3 + 9*t^2 - 8*t + 4+ comment: $9_{10}$; determinant $33$, genus $2$, alternating+- params:+ n: '9'+ k: '11'+ number: t^6 - 5*t^5 + 7*t^4 - 7*t^3 + 7*t^2 - 5*t + 1+ comment: $9_{11}$; determinant $33$, genus $3$, alternating+- params:+ n: '9'+ k: '12'+ number: 2*t^4 - 9*t^3 + 13*t^2 - 9*t + 2+ comment: $9_{12}$; determinant $35$, genus $2$, alternating+- params:+ n: '9'+ k: '13'+ number: 4*t^4 - 9*t^3 + 11*t^2 - 9*t + 4+ comment: $9_{13}$; determinant $37$, genus $2$, alternating+- params:+ n: '9'+ k: '14'+ number: 2*t^4 - 9*t^3 + 15*t^2 - 9*t + 2+ comment: $9_{14}$; determinant $37$, genus $2$, alternating+- params:+ n: '9'+ k: '15'+ number: 2*t^4 - 10*t^3 + 15*t^2 - 10*t + 2+ comment: $9_{15}$; determinant $39$, genus $2$, alternating; the same polynomial+ as $10_{165}$+- params:+ n: '9'+ k: '16'+ number: 2*t^6 - 5*t^5 + 8*t^4 - 9*t^3 + 8*t^2 - 5*t + 2+ comment: $9_{16}$; determinant $39$, genus $3$, alternating+- params:+ n: '9'+ k: '17'+ number: t^6 - 5*t^5 + 9*t^4 - 9*t^3 + 9*t^2 - 5*t + 1+ comment: $9_{17}$; determinant $39$, genus $3$, alternating+- params:+ n: '9'+ k: '18'+ number: 4*t^4 - 10*t^3 + 13*t^2 - 10*t + 4+ comment: $9_{18}$; determinant $41$, genus $2$, alternating+- params:+ n: '9'+ k: '19'+ number: 2*t^4 - 10*t^3 + 17*t^2 - 10*t + 2+ comment: $9_{19}$; determinant $41$, genus $2$, alternating+- params:+ n: '9'+ k: '20'+ number: t^6 - 5*t^5 + 9*t^4 - 11*t^3 + 9*t^2 - 5*t + 1+ comment: $9_{20}$; determinant $41$, genus $3$, alternating; the same polynomial+ as $10_{149}$+- params:+ n: '9'+ k: '21'+ number: 2*t^4 - 11*t^3 + 17*t^2 - 11*t + 2+ comment: $9_{21}$; determinant $43$, genus $2$, alternating+- params:+ n: '9'+ k: '22'+ number: t^6 - 5*t^5 + 10*t^4 - 11*t^3 + 10*t^2 - 5*t + 1+ comment: $9_{22}$; determinant $43$, genus $3$, alternating+- params:+ n: '9'+ k: '23'+ number: 4*t^4 - 11*t^3 + 15*t^2 - 11*t + 4+ comment: $9_{23}$; determinant $45$, genus $2$, alternating+- params:+ n: '9'+ k: '24'+ number: t^6 - 5*t^5 + 10*t^4 - 13*t^3 + 10*t^2 - 5*t + 1+ comment: $9_{24}$; determinant $45$, genus $3$, alternating; the same polynomial+ as $8_{18}$+- params:+ n: '9'+ k: '25'+ number: 3*t^4 - 12*t^3 + 17*t^2 - 12*t + 3+ comment: $9_{25}$; determinant $47$, genus $2$, alternating+- params:+ n: '9'+ k: '26'+ number: t^6 - 5*t^5 + 11*t^4 - 13*t^3 + 11*t^2 - 5*t + 1+ comment: $9_{26}$; determinant $47$, genus $3$, alternating+- params:+ n: '9'+ k: '27'+ number: t^6 - 5*t^5 + 11*t^4 - 15*t^3 + 11*t^2 - 5*t + 1+ comment: $9_{27}$; determinant $49$, genus $3$, alternating+- params:+ n: '9'+ k: '28'+ number: t^6 - 5*t^5 + 12*t^4 - 15*t^3 + 12*t^2 - 5*t + 1+ comment: $9_{28}$; determinant $51$, genus $3$, alternating; the same polynomial+ as $9_{29}$, $10_{163}$+- params:+ n: '9'+ k: '29'+ number: t^6 - 5*t^5 + 12*t^4 - 15*t^3 + 12*t^2 - 5*t + 1+ comment: $9_{29}$; determinant $51$, genus $3$, alternating; the same polynomial+ as $9_{28}$, $10_{163}$+- params:+ n: '9'+ k: '30'+ number: t^6 - 5*t^5 + 12*t^4 - 17*t^3 + 12*t^2 - 5*t + 1+ comment: $9_{30}$; determinant $53$, genus $3$, alternating+- params:+ n: '9'+ k: '31'+ number: t^6 - 5*t^5 + 13*t^4 - 17*t^3 + 13*t^2 - 5*t + 1+ comment: $9_{31}$; determinant $55$, genus $3$, alternating+- params:+ n: '9'+ k: '32'+ number: t^6 - 6*t^5 + 14*t^4 - 17*t^3 + 14*t^2 - 6*t + 1+ comment: $9_{32}$; determinant $59$, genus $3$, alternating+- params:+ n: '9'+ k: '33'+ number: t^6 - 6*t^5 + 14*t^4 - 19*t^3 + 14*t^2 - 6*t + 1+ comment: $9_{33}$; determinant $61$, genus $3$, alternating+- params:+ n: '9'+ k: '34'+ number: t^6 - 6*t^5 + 16*t^4 - 23*t^3 + 16*t^2 - 6*t + 1+ comment: $9_{34}$; determinant $69$, genus $3$, alternating+- params:+ n: '9'+ k: '35'+ number: 7*t^2 - 13*t + 7+ comment: $9_{35}$; determinant $27$, genus $1$, alternating+- params:+ n: '9'+ k: '36'+ number: t^6 - 5*t^5 + 8*t^4 - 9*t^3 + 8*t^2 - 5*t + 1+ comment: $9_{36}$; determinant $37$, genus $3$, alternating+- params:+ n: '9'+ k: '37'+ number: 2*t^4 - 11*t^3 + 19*t^2 - 11*t + 2+ comment: $9_{37}$; determinant $45$, genus $2$, alternating+- params:+ n: '9'+ k: '38'+ number: 5*t^4 - 14*t^3 + 19*t^2 - 14*t + 5+ comment: $9_{38}$; determinant $57$, genus $2$, alternating; the same polynomial+ as $10_{63}$+- params:+ n: '9'+ k: '39'+ number: 3*t^4 - 14*t^3 + 21*t^2 - 14*t + 3+ comment: $9_{39}$; determinant $55$, genus $2$, alternating+- params:+ n: '9'+ k: '40'+ number: t^6 - 7*t^5 + 18*t^4 - 23*t^3 + 18*t^2 - 7*t + 1+ comment: $9_{40}$; determinant $75$, genus $3$, alternating; the same polynomial+ as $10_{59}$+- params:+ n: '9'+ k: '41'+ number: 3*t^4 - 12*t^3 + 19*t^2 - 12*t + 3+ comment: $9_{41}$; determinant $49$, genus $2$, alternating+- params:+ n: '9'+ k: '42'+ number: t^4 - 2*t^3 + t^2 - 2*t + 1+ comment: $9_{42}$; determinant $7$, genus $2$, non-alternating+- params:+ n: '9'+ k: '43'+ number: t^6 - 3*t^5 + 2*t^4 - t^3 + 2*t^2 - 3*t + 1+ comment: $9_{43}$; determinant $13$, genus $3$, non-alternating+- params:+ n: '9'+ k: '44'+ number: t^4 - 4*t^3 + 7*t^2 - 4*t + 1+ comment: $9_{44}$; determinant $17$, genus $2$, non-alternating+- params:+ n: '9'+ k: '45'+ number: t^4 - 6*t^3 + 9*t^2 - 6*t + 1+ comment: $9_{45}$; determinant $23$, genus $2$, non-alternating+- params:+ n: '9'+ k: '46'+ number: 2*t^2 - 5*t + 2+ comment: $9_{46}$; determinant $9$, genus $1$, non-alternating; the same polynomial+ as $6_1$+- params:+ n: '9'+ k: '47'+ number: t^6 - 4*t^5 + 6*t^4 - 5*t^3 + 6*t^2 - 4*t + 1+ comment: $9_{47}$; determinant $27$, genus $3$, non-alternating+- params:+ n: '9'+ k: '48'+ number: t^4 - 7*t^3 + 11*t^2 - 7*t + 1+ comment: $9_{48}$; determinant $27$, genus $2$, non-alternating+- params:+ n: '9'+ k: '49'+ number: 3*t^4 - 6*t^3 + 7*t^2 - 6*t + 3+ comment: $9_{49}$; determinant $25$, genus $2$, non-alternating+- params:+ n: '10'+ k: '1'+ number: 4*t^2 - 9*t + 4+ comment: $10_1$; determinant $17$, genus $1$, alternating; the same polynomial as+ $8_3$+- params:+ n: '10'+ k: '2'+ number: t^8 - 3*t^7 + 3*t^6 - 3*t^5 + 3*t^4 - 3*t^3 + 3*t^2 - 3*t + 1+ comment: $10_2$; determinant $23$, genus $4$, alternating+- params:+ n: '10'+ k: '3'+ number: 6*t^2 - 13*t + 6+ comment: $10_3$; determinant $25$, genus $1$, alternating+- params:+ n: '10'+ k: '4'+ number: 3*t^4 - 7*t^3 + 7*t^2 - 7*t + 3+ comment: $10_4$; determinant $27$, genus $2$, alternating+- params:+ n: '10'+ k: '5'+ number: t^8 - 3*t^7 + 5*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 5*t^2 - 3*t + 1+ comment: $10_5$; determinant $33$, genus $4$, alternating+- params:+ n: '10'+ k: '6'+ number: 2*t^6 - 6*t^5 + 7*t^4 - 7*t^3 + 7*t^2 - 6*t + 2+ comment: $10_6$; determinant $37$, genus $3$, alternating+- params:+ n: '10'+ k: '7'+ number: 3*t^4 - 11*t^3 + 15*t^2 - 11*t + 3+ comment: $10_7$; determinant $43$, genus $2$, alternating+- params:+ n: '10'+ k: '8'+ number: 2*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 5*t^2 - 5*t + 2+ comment: $10_8$; determinant $29$, genus $3$, alternating+- params:+ n: '10'+ k: '9'+ number: t^8 - 3*t^7 + 5*t^6 - 7*t^5 + 7*t^4 - 7*t^3 + 5*t^2 - 3*t + 1+ comment: $10_9$; determinant $39$, genus $4$, alternating+- params:+ n: '10'+ k: '10'+ number: 3*t^4 - 11*t^3 + 17*t^2 - 11*t + 3+ comment: $10_{10}$; determinant $45$, genus $2$, alternating; the same polynomial+ as $10_{164}$+- params:+ n: '10'+ k: '11'+ number: 4*t^4 - 11*t^3 + 13*t^2 - 11*t + 4+ comment: $10_{11}$; determinant $43$, genus $2$, alternating+- params:+ n: '10'+ k: '12'+ number: 2*t^6 - 6*t^5 + 10*t^4 - 11*t^3 + 10*t^2 - 6*t + 2+ comment: $10_{12}$; determinant $47$, genus $3$, alternating; the same polynomial+ as $10_{54}$+- params:+ n: '10'+ k: '13'+ number: 2*t^4 - 13*t^3 + 23*t^2 - 13*t + 2+ comment: $10_{13}$; determinant $53$, genus $2$, alternating+- params:+ n: '10'+ k: '14'+ number: 2*t^6 - 8*t^5 + 12*t^4 - 13*t^3 + 12*t^2 - 8*t + 2+ comment: $10_{14}$; determinant $57$, genus $3$, alternating+- params:+ n: '10'+ k: '15'+ number: 2*t^6 - 6*t^5 + 9*t^4 - 9*t^3 + 9*t^2 - 6*t + 2+ comment: $10_{15}$; determinant $43$, genus $3$, alternating+- params:+ n: '10'+ k: '16'+ number: 4*t^4 - 12*t^3 + 15*t^2 - 12*t + 4+ comment: $10_{16}$; determinant $47$, genus $2$, alternating+- params:+ n: '10'+ k: '17'+ number: t^8 - 3*t^7 + 5*t^6 - 7*t^5 + 9*t^4 - 7*t^3 + 5*t^2 - 3*t + 1+ comment: $10_{17}$; determinant $41$, genus $4$, alternating+- params:+ n: '10'+ k: '18'+ number: 4*t^4 - 14*t^3 + 19*t^2 - 14*t + 4+ comment: $10_{18}$; determinant $55$, genus $2$, alternating; the same polynomial+ as $10_{24}$+- params:+ n: '10'+ k: '19'+ number: 2*t^6 - 7*t^5 + 11*t^4 - 11*t^3 + 11*t^2 - 7*t + 2+ comment: $10_{19}$; determinant $51$, genus $3$, alternating+- params:+ n: '10'+ k: '20'+ number: 3*t^4 - 9*t^3 + 11*t^2 - 9*t + 3+ comment: $10_{20}$; determinant $35$, genus $2$, alternating; the same polynomial+ as $10_{162}$+- params:+ n: '10'+ k: '21'+ number: 2*t^6 - 7*t^5 + 9*t^4 - 9*t^3 + 9*t^2 - 7*t + 2+ comment: $10_{21}$; determinant $45$, genus $3$, alternating+- params:+ n: '10'+ k: '22'+ number: 2*t^6 - 6*t^5 + 10*t^4 - 13*t^3 + 10*t^2 - 6*t + 2+ comment: $10_{22}$; determinant $49$, genus $3$, alternating+- params:+ n: '10'+ k: '23'+ number: 2*t^6 - 7*t^5 + 13*t^4 - 15*t^3 + 13*t^2 - 7*t + 2+ comment: $10_{23}$; determinant $59$, genus $3$, alternating; the same polynomial+ as $10_{52}$+- params:+ n: '10'+ k: '24'+ number: 4*t^4 - 14*t^3 + 19*t^2 - 14*t + 4+ comment: $10_{24}$; determinant $55$, genus $2$, alternating; the same polynomial+ as $10_{18}$+- params:+ n: '10'+ k: '25'+ number: 2*t^6 - 8*t^5 + 14*t^4 - 17*t^3 + 14*t^2 - 8*t + 2+ comment: $10_{25}$; determinant $65$, genus $3$, alternating; the same polynomial+ as $10_{56}$+- params:+ n: '10'+ k: '26'+ number: 2*t^6 - 7*t^5 + 13*t^4 - 17*t^3 + 13*t^2 - 7*t + 2+ comment: $10_{26}$; determinant $61$, genus $3$, alternating+- params:+ n: '10'+ k: '27'+ number: 2*t^6 - 8*t^5 + 16*t^4 - 19*t^3 + 16*t^2 - 8*t + 2+ comment: $10_{27}$; determinant $71$, genus $3$, alternating+- params:+ n: '10'+ k: '28'+ number: 4*t^4 - 13*t^3 + 19*t^2 - 13*t + 4+ comment: $10_{28}$; determinant $53$, genus $2$, alternating; the same polynomial+ as $10_{37}$+- params:+ n: '10'+ k: '29'+ number: t^6 - 7*t^5 + 15*t^4 - 17*t^3 + 15*t^2 - 7*t + 1+ comment: $10_{29}$; determinant $63$, genus $3$, alternating+- params:+ n: '10'+ k: '30'+ number: 4*t^4 - 17*t^3 + 25*t^2 - 17*t + 4+ comment: $10_{30}$; determinant $67$, genus $2$, alternating+- params:+ n: '10'+ k: '31'+ number: 4*t^4 - 14*t^3 + 21*t^2 - 14*t + 4+ comment: $10_{31}$; determinant $57$, genus $2$, alternating; the same polynomial+ as $10_{68}$+- params:+ n: '10'+ k: '32'+ number: 2*t^6 - 8*t^5 + 15*t^4 - 19*t^3 + 15*t^2 - 8*t + 2+ comment: $10_{32}$; determinant $69$, genus $3$, alternating+- params:+ n: '10'+ k: '33'+ number: 4*t^4 - 16*t^3 + 25*t^2 - 16*t + 4+ comment: $10_{33}$; determinant $65$, genus $2$, alternating+- params:+ n: '10'+ k: '34'+ number: 3*t^4 - 9*t^3 + 13*t^2 - 9*t + 3+ comment: $10_{34}$; determinant $37$, genus $2$, alternating; the same polynomial+ as $10_{135}$+- params:+ n: '10'+ k: '35'+ number: 2*t^4 - 12*t^3 + 21*t^2 - 12*t + 2+ comment: $10_{35}$; determinant $49$, genus $2$, alternating+- params:+ n: '10'+ k: '36'+ number: 3*t^4 - 13*t^3 + 19*t^2 - 13*t + 3+ comment: $10_{36}$; determinant $51$, genus $2$, alternating+- params:+ n: '10'+ k: '37'+ number: 4*t^4 - 13*t^3 + 19*t^2 - 13*t + 4+ comment: $10_{37}$; determinant $53$, genus $2$, alternating; the same polynomial+ as $10_{28}$+- params:+ n: '10'+ k: '38'+ number: 4*t^4 - 15*t^3 + 21*t^2 - 15*t + 4+ comment: $10_{38}$; determinant $59$, genus $2$, alternating+- params:+ n: '10'+ k: '39'+ number: 2*t^6 - 8*t^5 + 13*t^4 - 15*t^3 + 13*t^2 - 8*t + 2+ comment: $10_{39}$; determinant $61$, genus $3$, alternating+- params:+ n: '10'+ k: '40'+ number: 2*t^6 - 8*t^5 + 17*t^4 - 21*t^3 + 17*t^2 - 8*t + 2+ comment: $10_{40}$; determinant $75$, genus $3$, alternating; the same polynomial+ as $10_{103}$+- params:+ n: '10'+ k: '41'+ number: t^6 - 7*t^5 + 17*t^4 - 21*t^3 + 17*t^2 - 7*t + 1+ comment: $10_{41}$; determinant $71$, genus $3$, alternating+- params:+ n: '10'+ k: '42'+ number: t^6 - 7*t^5 + 19*t^4 - 27*t^3 + 19*t^2 - 7*t + 1+ comment: $10_{42}$; determinant $81$, genus $3$, alternating; the same polynomial+ as $10_{75}$+- params:+ n: '10'+ k: '43'+ number: t^6 - 7*t^5 + 17*t^4 - 23*t^3 + 17*t^2 - 7*t + 1+ comment: $10_{43}$; determinant $73$, genus $3$, alternating+- params:+ n: '10'+ k: '44'+ number: t^6 - 7*t^5 + 19*t^4 - 25*t^3 + 19*t^2 - 7*t + 1+ comment: $10_{44}$; determinant $79$, genus $3$, alternating+- params:+ n: '10'+ k: '45'+ number: t^6 - 7*t^5 + 21*t^4 - 31*t^3 + 21*t^2 - 7*t + 1+ comment: $10_{45}$; determinant $89$, genus $3$, alternating+- params:+ n: '10'+ k: '46'+ number: t^8 - 3*t^7 + 4*t^6 - 5*t^5 + 5*t^4 - 5*t^3 + 4*t^2 - 3*t + 1+ comment: $10_{46}$; determinant $31$, genus $4$, alternating+- params:+ n: '10'+ k: '47'+ number: t^8 - 3*t^7 + 6*t^6 - 7*t^5 + 7*t^4 - 7*t^3 + 6*t^2 - 3*t + 1+ comment: $10_{47}$; determinant $41$, genus $4$, alternating+- params:+ n: '10'+ k: '48'+ number: t^8 - 3*t^7 + 6*t^6 - 9*t^5 + 11*t^4 - 9*t^3 + 6*t^2 - 3*t + 1+ comment: $10_{48}$; determinant $49$, genus $4$, alternating+- params:+ n: '10'+ k: '49'+ number: 3*t^6 - 8*t^5 + 12*t^4 - 13*t^3 + 12*t^2 - 8*t + 3+ comment: $10_{49}$; determinant $59$, genus $3$, alternating+- params:+ n: '10'+ k: '50'+ number: 2*t^6 - 7*t^5 + 11*t^4 - 13*t^3 + 11*t^2 - 7*t + 2+ comment: $10_{50}$; determinant $53$, genus $3$, alternating+- params:+ n: '10'+ k: '51'+ number: 2*t^6 - 7*t^5 + 15*t^4 - 19*t^3 + 15*t^2 - 7*t + 2+ comment: $10_{51}$; determinant $67$, genus $3$, alternating+- params:+ n: '10'+ k: '52'+ number: 2*t^6 - 7*t^5 + 13*t^4 - 15*t^3 + 13*t^2 - 7*t + 2+ comment: $10_{52}$; determinant $59$, genus $3$, alternating; the same polynomial+ as $10_{23}$+- params:+ n: '10'+ k: '53'+ number: 6*t^4 - 18*t^3 + 25*t^2 - 18*t + 6+ comment: $10_{53}$; determinant $73$, genus $2$, alternating+- params:+ n: '10'+ k: '54'+ number: 2*t^6 - 6*t^5 + 10*t^4 - 11*t^3 + 10*t^2 - 6*t + 2+ comment: $10_{54}$; determinant $47$, genus $3$, alternating; the same polynomial+ as $10_{12}$+- params:+ n: '10'+ k: '55'+ number: 5*t^4 - 15*t^3 + 21*t^2 - 15*t + 5+ comment: $10_{55}$; determinant $61$, genus $2$, alternating+- params:+ n: '10'+ k: '56'+ number: 2*t^6 - 8*t^5 + 14*t^4 - 17*t^3 + 14*t^2 - 8*t + 2+ comment: $10_{56}$; determinant $65$, genus $3$, alternating; the same polynomial+ as $10_{25}$+- params:+ n: '10'+ k: '57'+ number: 2*t^6 - 8*t^5 + 18*t^4 - 23*t^3 + 18*t^2 - 8*t + 2+ comment: $10_{57}$; determinant $79$, genus $3$, alternating+- params:+ n: '10'+ k: '58'+ number: 3*t^4 - 16*t^3 + 27*t^2 - 16*t + 3+ comment: $10_{58}$; determinant $65$, genus $2$, alternating+- params:+ n: '10'+ k: '59'+ number: t^6 - 7*t^5 + 18*t^4 - 23*t^3 + 18*t^2 - 7*t + 1+ comment: $10_{59}$; determinant $75$, genus $3$, alternating; the same polynomial+ as $9_{40}$+- params:+ n: '10'+ k: '60'+ number: t^6 - 7*t^5 + 20*t^4 - 29*t^3 + 20*t^2 - 7*t + 1+ comment: $10_{60}$; determinant $85$, genus $3$, alternating+- params:+ n: '10'+ k: '61'+ number: 2*t^6 - 5*t^5 + 6*t^4 - 7*t^3 + 6*t^2 - 5*t + 2+ comment: $10_{61}$; determinant $33$, genus $3$, alternating+- params:+ n: '10'+ k: '62'+ number: t^8 - 3*t^7 + 6*t^6 - 8*t^5 + 9*t^4 - 8*t^3 + 6*t^2 - 3*t + 1+ comment: $10_{62}$; determinant $45$, genus $4$, alternating+- params:+ n: '10'+ k: '63'+ number: 5*t^4 - 14*t^3 + 19*t^2 - 14*t + 5+ comment: $10_{63}$; determinant $57$, genus $2$, alternating; the same polynomial+ as $9_{38}$+- params:+ n: '10'+ k: '64'+ number: t^8 - 3*t^7 + 6*t^6 - 10*t^5 + 11*t^4 - 10*t^3 + 6*t^2 - 3*t + 1+ comment: $10_{64}$; determinant $51$, genus $4$, alternating+- params:+ n: '10'+ k: '65'+ number: 2*t^6 - 7*t^5 + 14*t^4 - 17*t^3 + 14*t^2 - 7*t + 2+ comment: $10_{65}$; determinant $63$, genus $3$, alternating; the same polynomial+ as $10_{77}$+- params:+ n: '10'+ k: '66'+ number: 3*t^6 - 9*t^5 + 16*t^4 - 19*t^3 + 16*t^2 - 9*t + 3+ comment: $10_{66}$; determinant $75$, genus $3$, alternating+- params:+ n: '10'+ k: '67'+ number: 4*t^4 - 16*t^3 + 23*t^2 - 16*t + 4+ comment: $10_{67}$; determinant $63$, genus $2$, alternating; the same polynomial+ as $10_{74}$+- params:+ n: '10'+ k: '68'+ number: 4*t^4 - 14*t^3 + 21*t^2 - 14*t + 4+ comment: $10_{68}$; determinant $57$, genus $2$, alternating; the same polynomial+ as $10_{31}$+- params:+ n: '10'+ k: '69'+ number: t^6 - 7*t^5 + 21*t^4 - 29*t^3 + 21*t^2 - 7*t + 1+ comment: $10_{69}$; determinant $87$, genus $3$, alternating+- params:+ n: '10'+ k: '70'+ number: t^6 - 7*t^5 + 16*t^4 - 19*t^3 + 16*t^2 - 7*t + 1+ comment: $10_{70}$; determinant $67$, genus $3$, alternating+- params:+ n: '10'+ k: '71'+ number: t^6 - 7*t^5 + 18*t^4 - 25*t^3 + 18*t^2 - 7*t + 1+ comment: $10_{71}$; determinant $77$, genus $3$, alternating+- params:+ n: '10'+ k: '72'+ number: 2*t^6 - 9*t^5 + 16*t^4 - 19*t^3 + 16*t^2 - 9*t + 2+ comment: $10_{72}$; determinant $73$, genus $3$, alternating+- params:+ n: '10'+ k: '73'+ number: t^6 - 7*t^5 + 20*t^4 - 27*t^3 + 20*t^2 - 7*t + 1+ comment: $10_{73}$; determinant $83$, genus $3$, alternating+- params:+ n: '10'+ k: '74'+ number: 4*t^4 - 16*t^3 + 23*t^2 - 16*t + 4+ comment: $10_{74}$; determinant $63$, genus $2$, alternating; the same polynomial+ as $10_{67}$+- params:+ n: '10'+ k: '75'+ number: t^6 - 7*t^5 + 19*t^4 - 27*t^3 + 19*t^2 - 7*t + 1+ comment: $10_{75}$; determinant $81$, genus $3$, alternating; the same polynomial+ as $10_{42}$+- params:+ n: '10'+ k: '76'+ number: 2*t^6 - 7*t^5 + 12*t^4 - 15*t^3 + 12*t^2 - 7*t + 2+ comment: $10_{76}$; determinant $57$, genus $3$, alternating+- params:+ n: '10'+ k: '77'+ number: 2*t^6 - 7*t^5 + 14*t^4 - 17*t^3 + 14*t^2 - 7*t + 2+ comment: $10_{77}$; determinant $63$, genus $3$, alternating; the same polynomial+ as $10_{65}$+- params:+ n: '10'+ k: '78'+ number: t^6 - 7*t^5 + 16*t^4 - 21*t^3 + 16*t^2 - 7*t + 1+ comment: $10_{78}$; determinant $69$, genus $3$, alternating+- params:+ n: '10'+ k: '79'+ number: t^8 - 3*t^7 + 7*t^6 - 12*t^5 + 15*t^4 - 12*t^3 + 7*t^2 - 3*t + 1+ comment: $10_{79}$; determinant $61$, genus $4$, alternating+- params:+ n: '10'+ k: '80'+ number: 3*t^6 - 9*t^5 + 15*t^4 - 17*t^3 + 15*t^2 - 9*t + 3+ comment: $10_{80}$; determinant $71$, genus $3$, alternating+- params:+ n: '10'+ k: '81'+ number: t^6 - 8*t^5 + 20*t^4 - 27*t^3 + 20*t^2 - 8*t + 1+ comment: $10_{81}$; determinant $85$, genus $3$, alternating+- params:+ n: '10'+ k: '82'+ number: t^8 - 4*t^7 + 8*t^6 - 12*t^5 + 13*t^4 - 12*t^3 + 8*t^2 - 4*t + 1+ comment: $10_{82}$; determinant $63$, genus $4$, alternating+- params:+ n: '10'+ k: '83'+ number: 2*t^6 - 9*t^5 + 19*t^4 - 23*t^3 + 19*t^2 - 9*t + 2+ comment: $10_{83}$; determinant $83$, genus $3$, alternating+- params:+ n: '10'+ k: '84'+ number: 2*t^6 - 9*t^5 + 20*t^4 - 25*t^3 + 20*t^2 - 9*t + 2+ comment: $10_{84}$; determinant $87$, genus $3$, alternating+- params:+ n: '10'+ k: '85'+ number: t^8 - 4*t^7 + 8*t^6 - 10*t^5 + 11*t^4 - 10*t^3 + 8*t^2 - 4*t + 1+ comment: $10_{85}$; determinant $57$, genus $4$, alternating+- params:+ n: '10'+ k: '86'+ number: 2*t^6 - 9*t^5 + 19*t^4 - 25*t^3 + 19*t^2 - 9*t + 2+ comment: $10_{86}$; determinant $85$, genus $3$, alternating+- params:+ n: '10'+ k: '87'+ number: 2*t^6 - 9*t^5 + 18*t^4 - 23*t^3 + 18*t^2 - 9*t + 2+ comment: $10_{87}$; determinant $81$, genus $3$, alternating; the same polynomial+ as $10_{98}$+- params:+ n: '10'+ k: '88'+ number: t^6 - 8*t^5 + 24*t^4 - 35*t^3 + 24*t^2 - 8*t + 1+ comment: $10_{88}$; determinant $101$, genus $3$, alternating+- params:+ n: '10'+ k: '89'+ number: t^6 - 8*t^5 + 24*t^4 - 33*t^3 + 24*t^2 - 8*t + 1+ comment: $10_{89}$; determinant $99$, genus $3$, alternating+- params:+ n: '10'+ k: '90'+ number: 2*t^6 - 8*t^5 + 17*t^4 - 23*t^3 + 17*t^2 - 8*t + 2+ comment: $10_{90}$; determinant $77$, genus $3$, alternating+- params:+ n: '10'+ k: '91'+ number: t^8 - 4*t^7 + 9*t^6 - 14*t^5 + 17*t^4 - 14*t^3 + 9*t^2 - 4*t + 1+ comment: $10_{91}$; determinant $73$, genus $4$, alternating+- params:+ n: '10'+ k: '92'+ number: 2*t^6 - 10*t^5 + 20*t^4 - 25*t^3 + 20*t^2 - 10*t + 2+ comment: $10_{92}$; determinant $89$, genus $3$, alternating+- params:+ n: '10'+ k: '93'+ number: 2*t^6 - 8*t^5 + 15*t^4 - 17*t^3 + 15*t^2 - 8*t + 2+ comment: $10_{93}$; determinant $67$, genus $3$, alternating+- params:+ n: '10'+ k: '94'+ number: t^8 - 4*t^7 + 9*t^6 - 14*t^5 + 15*t^4 - 14*t^3 + 9*t^2 - 4*t + 1+ comment: $10_{94}$; determinant $71$, genus $4$, alternating+- params:+ n: '10'+ k: '95'+ number: 2*t^6 - 9*t^5 + 21*t^4 - 27*t^3 + 21*t^2 - 9*t + 2+ comment: $10_{95}$; determinant $91$, genus $3$, alternating+- params:+ n: '10'+ k: '96'+ number: t^6 - 7*t^5 + 22*t^4 - 33*t^3 + 22*t^2 - 7*t + 1+ comment: $10_{96}$; determinant $93$, genus $3$, alternating+- params:+ n: '10'+ k: '97'+ number: 5*t^4 - 22*t^3 + 33*t^2 - 22*t + 5+ comment: $10_{97}$; determinant $87$, genus $2$, alternating+- params:+ n: '10'+ k: '98'+ number: 2*t^6 - 9*t^5 + 18*t^4 - 23*t^3 + 18*t^2 - 9*t + 2+ comment: $10_{98}$; determinant $81$, genus $3$, alternating; the same polynomial+ as $10_{87}$+- params:+ n: '10'+ k: '99'+ number: t^8 - 4*t^7 + 10*t^6 - 16*t^5 + 19*t^4 - 16*t^3 + 10*t^2 - 4*t + 1+ comment: $10_{99}$; determinant $81$, genus $4$, alternating+- params:+ n: '10'+ k: '100'+ number: t^8 - 4*t^7 + 9*t^6 - 12*t^5 + 13*t^4 - 12*t^3 + 9*t^2 - 4*t + 1+ comment: $10_{100}$; determinant $65$, genus $4$, alternating+- params:+ n: '10'+ k: '101'+ number: 7*t^4 - 21*t^3 + 29*t^2 - 21*t + 7+ comment: $10_{101}$; determinant $85$, genus $2$, alternating+- params:+ n: '10'+ k: '102'+ number: 2*t^6 - 8*t^5 + 16*t^4 - 21*t^3 + 16*t^2 - 8*t + 2+ comment: $10_{102}$; determinant $73$, genus $3$, alternating+- params:+ n: '10'+ k: '103'+ number: 2*t^6 - 8*t^5 + 17*t^4 - 21*t^3 + 17*t^2 - 8*t + 2+ comment: $10_{103}$; determinant $75$, genus $3$, alternating; the same polynomial+ as $10_{40}$+- params:+ n: '10'+ k: '104'+ number: t^8 - 4*t^7 + 9*t^6 - 15*t^5 + 19*t^4 - 15*t^3 + 9*t^2 - 4*t + 1+ comment: $10_{104}$; determinant $77$, genus $4$, alternating+- params:+ n: '10'+ k: '105'+ number: t^6 - 8*t^5 + 22*t^4 - 29*t^3 + 22*t^2 - 8*t + 1+ comment: $10_{105}$; determinant $91$, genus $3$, alternating+- params:+ n: '10'+ k: '106'+ number: t^8 - 4*t^7 + 9*t^6 - 15*t^5 + 17*t^4 - 15*t^3 + 9*t^2 - 4*t + 1+ comment: $10_{106}$; determinant $75$, genus $4$, alternating+- params:+ n: '10'+ k: '107'+ number: t^6 - 8*t^5 + 22*t^4 - 31*t^3 + 22*t^2 - 8*t + 1+ comment: $10_{107}$; determinant $93$, genus $3$, alternating+- params:+ n: '10'+ k: '108'+ number: 2*t^6 - 8*t^5 + 14*t^4 - 15*t^3 + 14*t^2 - 8*t + 2+ comment: $10_{108}$; determinant $63$, genus $3$, alternating+- params:+ n: '10'+ k: '109'+ number: t^8 - 4*t^7 + 10*t^6 - 17*t^5 + 21*t^4 - 17*t^3 + 10*t^2 - 4*t + 1+ comment: $10_{109}$; determinant $85$, genus $4$, alternating+- params:+ n: '10'+ k: '110'+ number: t^6 - 8*t^5 + 20*t^4 - 25*t^3 + 20*t^2 - 8*t + 1+ comment: $10_{110}$; determinant $83$, genus $3$, alternating+- params:+ n: '10'+ k: '111'+ number: 2*t^6 - 9*t^5 + 17*t^4 - 21*t^3 + 17*t^2 - 9*t + 2+ comment: $10_{111}$; determinant $77$, genus $3$, alternating+- params:+ n: '10'+ k: '112'+ number: t^8 - 5*t^7 + 11*t^6 - 17*t^5 + 19*t^4 - 17*t^3 + 11*t^2 - 5*t + 1+ comment: $10_{112}$; determinant $87$, genus $4$, alternating+- params:+ n: '10'+ k: '113'+ number: 2*t^6 - 11*t^5 + 26*t^4 - 33*t^3 + 26*t^2 - 11*t + 2+ comment: $10_{113}$; determinant $111$, genus $3$, alternating+- params:+ n: '10'+ k: '114'+ number: 2*t^6 - 10*t^5 + 21*t^4 - 27*t^3 + 21*t^2 - 10*t + 2+ comment: $10_{114}$; determinant $93$, genus $3$, alternating+- params:+ n: '10'+ k: '115'+ number: t^6 - 9*t^5 + 26*t^4 - 37*t^3 + 26*t^2 - 9*t + 1+ comment: $10_{115}$; determinant $109$, genus $3$, alternating+- params:+ n: '10'+ k: '116'+ number: t^8 - 5*t^7 + 12*t^6 - 19*t^5 + 21*t^4 - 19*t^3 + 12*t^2 - 5*t + 1+ comment: $10_{116}$; determinant $95$, genus $4$, alternating+- params:+ n: '10'+ k: '117'+ number: 2*t^6 - 10*t^5 + 24*t^4 - 31*t^3 + 24*t^2 - 10*t + 2+ comment: $10_{117}$; determinant $103$, genus $3$, alternating+- params:+ n: '10'+ k: '118'+ number: t^8 - 5*t^7 + 12*t^6 - 19*t^5 + 23*t^4 - 19*t^3 + 12*t^2 - 5*t + 1+ comment: $10_{118}$; determinant $97$, genus $4$, alternating+- params:+ n: '10'+ k: '119'+ number: 2*t^6 - 10*t^5 + 23*t^4 - 31*t^3 + 23*t^2 - 10*t + 2+ comment: $10_{119}$; determinant $101$, genus $3$, alternating+- params:+ n: '10'+ k: '120'+ number: 8*t^4 - 26*t^3 + 37*t^2 - 26*t + 8+ comment: $10_{120}$; determinant $105$, genus $2$, alternating+- params:+ n: '10'+ k: '121'+ number: 2*t^6 - 11*t^5 + 27*t^4 - 35*t^3 + 27*t^2 - 11*t + 2+ comment: $10_{121}$; determinant $115$, genus $3$, alternating+- params:+ n: '10'+ k: '122'+ number: 2*t^6 - 11*t^5 + 24*t^4 - 31*t^3 + 24*t^2 - 11*t + 2+ comment: $10_{122}$; determinant $105$, genus $3$, alternating+- params:+ n: '10'+ k: '123'+ number: t^8 - 6*t^7 + 15*t^6 - 24*t^5 + 29*t^4 - 24*t^3 + 15*t^2 - 6*t + 1+ comment: $10_{123}$; determinant $121$, genus $4$, alternating+- params:+ n: '10'+ k: '124'+ number: t^8 - t^7 + t^5 - t^4 + t^3 - t + 1+ comment: $10_{124}$; the torus knot $T(3,5)$; determinant $1$, genus $4$, non-alternating+ equals: HREF{Cyclotomic_polynomials#15}[$\Phi_{15}$]+- params:+ n: '10'+ k: '125'+ number: t^6 - 2*t^5 + 2*t^4 - t^3 + 2*t^2 - 2*t + 1+ comment: $10_{125}$; determinant $11$, genus $3$, non-alternating+- params:+ n: '10'+ k: '126'+ number: t^6 - 2*t^5 + 4*t^4 - 5*t^3 + 4*t^2 - 2*t + 1+ comment: $10_{126}$; determinant $19$, genus $3$, non-alternating+- params:+ n: '10'+ k: '127'+ number: t^6 - 4*t^5 + 6*t^4 - 7*t^3 + 6*t^2 - 4*t + 1+ comment: $10_{127}$; determinant $29$, genus $3$, non-alternating; the same polynomial+ as $10_{150}$+- params:+ n: '10'+ k: '128'+ number: 2*t^6 - 3*t^5 + t^4 + t^3 + t^2 - 3*t + 2+ comment: $10_{128}$; determinant $11$, genus $3$, non-alternating+- params:+ n: '10'+ k: '129'+ number: 2*t^4 - 6*t^3 + 9*t^2 - 6*t + 2+ comment: $10_{129}$; determinant $25$, genus $2$, non-alternating; the same polynomial+ as $8_8$+- params:+ n: '10'+ k: '130'+ number: 2*t^4 - 4*t^3 + 5*t^2 - 4*t + 2+ comment: $10_{130}$; determinant $17$, genus $2$, non-alternating; the same polynomial+ as $7_5$+- params:+ n: '10'+ k: '131'+ number: 2*t^4 - 8*t^3 + 11*t^2 - 8*t + 2+ comment: $10_{131}$; determinant $31$, genus $2$, non-alternating; the same polynomial+ as $8_{14}$, $9_8$+- params:+ n: '10'+ k: '132'+ number: t^4 - t^3 + t^2 - t + 1+ comment: $10_{132}$; determinant $5$, genus $2$, non-alternating; the same polynomial+ as $5_1$+- params:+ n: '10'+ k: '133'+ number: t^4 - 5*t^3 + 7*t^2 - 5*t + 1+ comment: $10_{133}$; determinant $19$, genus $2$, non-alternating; the same polynomial+ as $7_6$+- params:+ n: '10'+ k: '134'+ number: 2*t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 4*t^2 - 4*t + 2+ comment: $10_{134}$; determinant $23$, genus $3$, non-alternating+- params:+ n: '10'+ k: '135'+ number: 3*t^4 - 9*t^3 + 13*t^2 - 9*t + 3+ comment: $10_{135}$; determinant $37$, genus $2$, non-alternating; the same polynomial+ as $10_{34}$+- params:+ n: '10'+ k: '136'+ number: t^4 - 4*t^3 + 5*t^2 - 4*t + 1+ comment: $10_{136}$; determinant $15$, genus $2$, non-alternating; the same polynomial+ as $8_{21}$+- params:+ n: '10'+ k: '137'+ number: t^4 - 6*t^3 + 11*t^2 - 6*t + 1+ comment: $10_{137}$; determinant $25$, genus $2$, non-alternating+- params:+ n: '10'+ k: '138'+ number: t^6 - 5*t^5 + 8*t^4 - 7*t^3 + 8*t^2 - 5*t + 1+ comment: $10_{138}$; determinant $35$, genus $3$, non-alternating+- params:+ n: '10'+ k: '139'+ number: t^8 - t^7 + 2*t^5 - 3*t^4 + 2*t^3 - t + 1+ comment: $10_{139}$; determinant $3$, genus $4$, non-alternating+- params:+ n: '10'+ k: '140'+ number: t^4 - 2*t^3 + 3*t^2 - 2*t + 1+ comment: $10_{140}$; determinant $9$, genus $2$, non-alternating; $\Delta=\Phi_6^2$,+ also the Alexander polynomial of the granny and square knots $3_1\#3_1$ and $3_1\#\bar{3}_1$;+ the same polynomial as $8_{20}$+- params:+ n: '10'+ k: '141'+ number: t^6 - 3*t^5 + 4*t^4 - 5*t^3 + 4*t^2 - 3*t + 1+ comment: $10_{141}$; determinant $21$, genus $3$, non-alternating; the same polynomial+ as $8_5$+- params:+ n: '10'+ k: '142'+ number: 2*t^6 - 3*t^5 + 2*t^4 - t^3 + 2*t^2 - 3*t + 2+ comment: $10_{142}$; determinant $15$, genus $3$, non-alternating+- params:+ n: '10'+ k: '143'+ number: t^6 - 3*t^5 + 6*t^4 - 7*t^3 + 6*t^2 - 3*t + 1+ comment: $10_{143}$; determinant $27$, genus $3$, non-alternating; the same polynomial+ as $8_{10}$+- params:+ n: '10'+ k: '144'+ number: 3*t^4 - 10*t^3 + 13*t^2 - 10*t + 3+ comment: $10_{144}$; determinant $39$, genus $2$, non-alternating+- params:+ n: '10'+ k: '145'+ number: t^4 + t^3 - 3*t^2 + t + 1+ comment: $10_{145}$; determinant $3$, genus $2$, non-alternating+- params:+ n: '10'+ k: '146'+ number: 2*t^4 - 8*t^3 + 13*t^2 - 8*t + 2+ comment: $10_{146}$; determinant $33$, genus $2$, non-alternating+- params:+ n: '10'+ k: '147'+ number: 2*t^4 - 7*t^3 + 9*t^2 - 7*t + 2+ comment: $10_{147}$; determinant $27$, genus $2$, non-alternating; the same polynomial+ as $8_{11}$+- params:+ n: '10'+ k: '148'+ number: t^6 - 3*t^5 + 7*t^4 - 9*t^3 + 7*t^2 - 3*t + 1+ comment: $10_{148}$; determinant $31$, genus $3$, non-alternating+- params:+ n: '10'+ k: '149'+ number: t^6 - 5*t^5 + 9*t^4 - 11*t^3 + 9*t^2 - 5*t + 1+ comment: $10_{149}$; determinant $41$, genus $3$, non-alternating; the same polynomial+ as $9_{20}$+- params:+ n: '10'+ k: '150'+ number: t^6 - 4*t^5 + 6*t^4 - 7*t^3 + 6*t^2 - 4*t + 1+ comment: $10_{150}$; determinant $29$, genus $3$, non-alternating; the same polynomial+ as $10_{127}$+- params:+ n: '10'+ k: '151'+ number: t^6 - 4*t^5 + 10*t^4 - 13*t^3 + 10*t^2 - 4*t + 1+ comment: $10_{151}$; determinant $43$, genus $3$, non-alternating+- params:+ n: '10'+ k: '152'+ number: t^8 - t^7 - t^6 + 4*t^5 - 5*t^4 + 4*t^3 - t^2 - t + 1+ comment: $10_{152}$; determinant $11$, genus $4$, non-alternating+- params:+ n: '10'+ k: '153'+ number: t^6 - t^5 - t^4 + 3*t^3 - t^2 - t + 1+ comment: $10_{153}$; determinant $1$, genus $3$, non-alternating+- params:+ n: '10'+ k: '154'+ number: t^6 - 4*t^4 + 7*t^3 - 4*t^2 + 1+ comment: $10_{154}$; determinant $13$, genus $3$, non-alternating+- params:+ n: '10'+ k: '155'+ number: t^6 - 3*t^5 + 5*t^4 - 7*t^3 + 5*t^2 - 3*t + 1+ comment: $10_{155}$; determinant $25$, genus $3$, non-alternating; the same polynomial+ as $8_9$+- params:+ n: '10'+ k: '156'+ number: t^6 - 4*t^5 + 8*t^4 - 9*t^3 + 8*t^2 - 4*t + 1+ comment: $10_{156}$; determinant $35$, genus $3$, non-alternating; the same polynomial+ as $8_{16}$+- params:+ n: '10'+ k: '157'+ number: t^6 - 6*t^5 + 11*t^4 - 13*t^3 + 11*t^2 - 6*t + 1+ comment: $10_{157}$; determinant $49$, genus $3$, non-alternating+- params:+ n: '10'+ k: '158'+ number: t^6 - 4*t^5 + 10*t^4 - 15*t^3 + 10*t^2 - 4*t + 1+ comment: $10_{158}$; determinant $45$, genus $3$, non-alternating+- params:+ n: '10'+ k: '159'+ number: t^6 - 4*t^5 + 9*t^4 - 11*t^3 + 9*t^2 - 4*t + 1+ comment: $10_{159}$; determinant $39$, genus $3$, non-alternating+- params:+ n: '10'+ k: '160'+ number: t^6 - 4*t^5 + 4*t^4 - 3*t^3 + 4*t^2 - 4*t + 1+ comment: $10_{160}$; determinant $21$, genus $3$, non-alternating+- params:+ n: '10'+ k: '161'+ number: t^6 - 2*t^4 + 3*t^3 - 2*t^2 + 1+ comment: $10_{161}$, the Perko pair, listed twice by Rolfsen as $10_{161}$ and $10_{162}$;+ determinant $5$, genus $3$, non-alternating+- params:+ n: '10'+ k: '162'+ number: 3*t^4 - 9*t^3 + 11*t^2 - 9*t + 3+ comment: $10_{162}$; determinant $35$, genus $2$, non-alternating; the same polynomial+ as $10_{20}$+- params:+ n: '10'+ k: '163'+ number: t^6 - 5*t^5 + 12*t^4 - 15*t^3 + 12*t^2 - 5*t + 1+ comment: $10_{163}$; determinant $51$, genus $3$, non-alternating; the same polynomial+ as $9_{28}$, $9_{29}$+- params:+ n: '10'+ k: '164'+ number: 3*t^4 - 11*t^3 + 17*t^2 - 11*t + 3+ comment: $10_{164}$; determinant $45$, genus $2$, non-alternating; the same polynomial+ as $10_{10}$+- params:+ n: '10'+ k: '165'+ number: 2*t^4 - 10*t^3 + 15*t^2 - 10*t + 2+ comment: $10_{165}$; determinant $39$, genus $2$, non-alternating; the same polynomial+ as $9_{15}$
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