Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 930524154] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0357 geometric_solution 4.38288671 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.913544908709 0.388180601693 0 2 2 0 3201 0132 3201 0132 0 0 0 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.294992343785 0.174530653488 1 1 3 3 2310 0132 0132 2310 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.717201913761 2.331873990512 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359956301090 0.255488678919 6 3 5 5 0132 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294624454415 0.803147767806 4 4 6 3 2310 1302 0132 0132 0 0 0 0 0 0 1 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294624454415 0.803147767806 4 6 6 5 0132 1230 3012 0132 0 0 0 0 0 1 0 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.597425029408 1.097421426365 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 623746715093/102070918720*c_0101_6^14 - 868567404707/10207091872*c_0101_6^12 + 8727770984903/20414183744*c_0101_6^10 - 78855515524857/51035459360*c_0101_6^8 + 277237476114923/102070918720*c_0101_6^6 - 359959534017961/51035459360*c_0101_6^4 + 462046410691549/102070918720*c_0101_6^2 - 16493861881629/20414183744, c_0011_0 - 1, c_0011_1 - 24242663/318971621*c_0101_6^14 + 1652437753/1594858105*c_0101_6^12 - 1599930621/318971621*c_0101_6^10 + 5670585547/318971621*c_0101_6^8 - 45881379984/1594858105*c_0101_6^6 + 127572257308/1594858105*c_0101_6^4 - 54331246957/1594858105*c_0101_6^2 + 2657779319/1594858105, c_0011_3 - 18773658/1594858105*c_0101_6^14 + 262024577/1594858105*c_0101_6^12 - 264400767/318971621*c_0101_6^10 + 4792030999/1594858105*c_0101_6^8 - 8519813174/1594858105*c_0101_6^6 + 22063646419/1594858105*c_0101_6^4 - 15394058367/1594858105*c_0101_6^2 + 2510349881/1594858105, c_0011_5 - 17053179/3189716210*c_0101_6^15 + 121092732/1594858105*c_0101_6^13 - 250090787/637943242*c_0101_6^11 + 2271409991/1594858105*c_0101_6^9 - 8394043911/3189716210*c_0101_6^7 + 2047660882/318971621*c_0101_6^5 - 17242947873/3189716210*c_0101_6^3 - 611153613/3189716210*c_0101_6, c_0101_0 - 227349229/3189716210*c_0101_6^15 + 1531608626/1594858105*c_0101_6^13 - 2901518119/637943242*c_0101_6^11 + 25359547211/1594858105*c_0101_6^9 - 15422249021/637943242*c_0101_6^7 + 112059707519/1594858105*c_0101_6^5 - 12473446401/637943242*c_0101_6^3 - 10670262509/3189716210*c_0101_6, c_0101_2 - 26642026/318971621*c_0101_6^15 + 1845361527/1594858105*c_0101_6^13 - 1836993754/318971621*c_0101_6^11 + 6598927388/318971621*c_0101_6^9 - 56711868711/1594858105*c_0101_6^7 + 149265489037/1594858105*c_0101_6^5 - 87740501348/1594858105*c_0101_6^3 + 11019009156/1594858105*c_0101_6, c_0101_6^16 - 14*c_0101_6^14 + 71*c_0101_6^12 - 258*c_0101_6^10 + 463*c_0101_6^8 - 1186*c_0101_6^6 + 825*c_0101_6^4 - 181*c_0101_6^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB