Magma V2.19-8 Wed Aug 21 2013 01:01:57 on localhost [Seed = 2463402299] Type ? for help. Type -D to quit. Loading file "L14n13538__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13538 geometric_solution 11.98655913 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 -1 0 1 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 -0.035858311060 2.016264087143 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 1 -2 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 -2 3 -1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.047245518298 0.470427645271 8 0 7 8 0132 0132 3201 2103 1 1 1 1 0 0 0 0 0 0 0 0 -1 0 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 -1 0 1 0 10 1 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517487536044 0.752231080997 9 10 6 0 0132 0132 1230 0132 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 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 0.530925793507 0.629797592176 7 11 0 9 1302 0132 0132 1023 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.043922531402 0.759996674440 8 1 10 11 1023 0132 2103 3120 0 1 1 1 0 -1 1 0 0 0 -1 1 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 2 -2 0 0 0 10 -10 1 -1 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584894608457 1.113924210031 9 12 1 3 2103 0132 0132 3012 0 1 1 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 1 -1 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 1.038271377191 0.690556184654 2 4 10 1 2310 2031 2031 0132 0 1 1 1 0 -1 -1 2 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 2 -3 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917609995360 1.316236671529 2 5 12 2 0132 1023 3201 2103 1 1 1 1 0 0 1 -1 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 -11 11 1 0 -1 0 0 -1 0 1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517487536044 0.752231080997 3 12 6 4 0132 1302 2103 1023 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426246346165 1.360556559232 5 3 11 7 2103 0132 2031 1302 1 1 0 1 0 0 0 0 1 0 -1 0 -1 0 0 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 -10 0 10 0 2 0 0 -2 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.136549000518 0.891401543290 5 4 12 10 3120 0132 3120 1302 1 1 1 0 0 0 -1 1 -1 0 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 -1 11 -10 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537895342774 0.655707527910 8 6 11 9 2310 0132 3120 2031 0 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 1 -1 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785110553044 0.743942068142 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : negation(d['c_0110_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0110_11']), 'c_1010_2' : negation(d['c_0110_11']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0110_11'], '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' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : 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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : negation(d['c_0011_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : negation(d['c_0011_7']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_6']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : d['c_0110_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0011_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_0110_11, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 32125/6561*c_1001_3^5 + 94346/2187*c_1001_3^4 + 741011/6561*c_1001_3^3 + 64498/729*c_1001_3^2 - 174878/6561*c_1001_3 - 75047/2187, c_0011_0 - 1, c_0011_10 - 1/3*c_1001_3^5 - 5/3*c_1001_3^4 + 2/3*c_1001_3^3 + 13/3*c_1001_3^2 - 1, c_0011_11 + 1, c_0011_12 + 4/3*c_1001_3^5 + 29/3*c_1001_3^4 + 46/3*c_1001_3^3 - 10/3*c_1001_3^2 - 10*c_1001_3 + 6, c_0011_7 - 5/3*c_1001_3^5 - 37/3*c_1001_3^4 - 62/3*c_1001_3^3 + 8/3*c_1001_3^2 + 13*c_1001_3 - 8, c_0101_0 - 5/3*c_1001_3^5 - 12*c_1001_3^4 - 19*c_1001_3^3 + 2*c_1001_3^2 + 32/3*c_1001_3 - 6, c_0101_10 - 5/3*c_1001_3^5 - 12*c_1001_3^4 - 19*c_1001_3^3 + c_1001_3^2 + 26/3*c_1001_3 - 5, c_0101_11 + 1/3*c_1001_3^5 + 7/3*c_1001_3^4 + 11/3*c_1001_3^3 + 4/3*c_1001_3^2 + 1/3*c_1001_3, c_0101_3 + 1/3*c_1001_3^5 + 2*c_1001_3^4 + c_1001_3^3 - 4*c_1001_3^2 - 1/3*c_1001_3 + 2, c_0101_7 - 5/3*c_1001_3^5 - 38/3*c_1001_3^4 - 67/3*c_1001_3^3 + 7/3*c_1001_3^2 + 46/3*c_1001_3 - 8, c_0110_11 + 5/3*c_1001_3^5 + 37/3*c_1001_3^4 + 62/3*c_1001_3^3 - 5/3*c_1001_3^2 - 12*c_1001_3 + 7, c_0110_6 - 2*c_1001_3^5 - 41/3*c_1001_3^4 - 58/3*c_1001_3^3 + 13/3*c_1001_3^2 + 29/3*c_1001_3 - 6, c_1001_3^6 + 8*c_1001_3^5 + 17*c_1001_3^4 + 7*c_1001_3^3 - 8*c_1001_3^2 - c_1001_3 + 3 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_0110_11, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1187072496/11723*c_1001_3^6 - 2097683976/11723*c_1001_3^5 + 2842826516/11723*c_1001_3^4 + 411610858/617*c_1001_3^3 + 2215389159/11723*c_1001_3^2 - 7291625841/23446*c_1001_3 - 3672060647/23446, c_0011_0 - 1, c_0011_10 - 3456/617*c_1001_3^6 - 5328/617*c_1001_3^5 + 8840/617*c_1001_3^4 + 20176/617*c_1001_3^3 + 4026/617*c_1001_3^2 - 9515/617*c_1001_3 - 4634/617, c_0011_11 + 1, c_0011_12 - 5264/617*c_1001_3^6 - 2768/617*c_1001_3^5 + 18652/617*c_1001_3^4 + 14232/617*c_1001_3^3 - 15857/617*c_1001_3^2 - 7263/617*c_1001_3 + 4122/617, c_0011_7 - 5264/617*c_1001_3^6 - 2768/617*c_1001_3^5 + 18652/617*c_1001_3^4 + 14232/617*c_1001_3^3 - 15857/617*c_1001_3^2 - 7263/617*c_1001_3 + 4122/617, c_0101_0 + 2256/617*c_1001_3^6 - 224/617*c_1001_3^5 - 9404/617*c_1001_3^4 - 1516/617*c_1001_3^3 + 12437/617*c_1001_3^2 + 1438/617*c_1001_3 - 4499/617, c_0101_10 - 1792/617*c_1001_3^6 + 528/617*c_1001_3^5 + 8240/617*c_1001_3^4 + 224/617*c_1001_3^3 - 13406/617*c_1001_3^2 - 1186/617*c_1001_3 + 5801/617, c_0101_11 + 3008/617*c_1001_3^6 + 2992/617*c_1001_3^5 - 9248/617*c_1001_3^4 - 12716/617*c_1001_3^3 + 3420/617*c_1001_3^2 + 6442/617*c_1001_3 + 377/617, c_0101_3 + 16/617*c_1001_3^6 - 2032/617*c_1001_3^5 - 1572/617*c_1001_3^4 + 6168/617*c_1001_3^3 + 6477/617*c_1001_3^2 - 2821/617*c_1001_3 - 2955/617, c_0101_7 - 1792/617*c_1001_3^6 + 528/617*c_1001_3^5 + 8240/617*c_1001_3^4 + 224/617*c_1001_3^3 - 13406/617*c_1001_3^2 - 1186/617*c_1001_3 + 5801/617, c_0110_11 - 1792/617*c_1001_3^6 + 528/617*c_1001_3^5 + 8240/617*c_1001_3^4 + 224/617*c_1001_3^3 - 13406/617*c_1001_3^2 - 1186/617*c_1001_3 + 6418/617, c_0110_6 - 4496/617*c_1001_3^6 - 1584/617*c_1001_3^5 + 17236/617*c_1001_3^4 + 9200/617*c_1001_3^3 - 18397/617*c_1001_3^2 - 5080/617*c_1001_3 + 6043/617, c_1001_3^7 + c_1001_3^6 - 15/4*c_1001_3^5 - 19/4*c_1001_3^4 + 51/16*c_1001_3^3 + 9/2*c_1001_3^2 - 13/16*c_1001_3 - 19/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.080 Total time: 1.300 seconds, Total memory usage: 80.38MB