Magma V2.19-8 Tue Aug 20 2013 18:13:01 on localhost [Seed = 4155919435] Type ? for help. Type -D to quit. Loading file "10^2_96__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_96 geometric_solution 13.49171226 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 3 0132 0132 0132 2031 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 0 1 0 -1 0 0 0 0 7 -6 0 -1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.081407077163 1.073569657536 0 4 2 5 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 -1 0 0 -1 1 7 -7 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620154143055 0.685095311477 6 0 1 3 0132 0132 1023 1302 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 -1 1 0 0 0 -1 1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.308738851696 1.972346979171 6 0 2 0 2031 1302 2031 0132 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 0 0 0 0 0 0 0 6 1 0 -7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929771775839 0.926146634787 7 1 8 9 0132 0132 0132 0132 0 1 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -5 4 0 -7 0 7 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327570393413 0.593462490312 10 11 1 12 0132 0132 0132 0132 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 0 0 0 0 0 0 -1 1 0 1 0 -1 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 0.327570393413 0.593462490312 2 7 3 12 0132 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 6 -6 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620154143055 0.685095311477 4 6 13 10 0132 0132 0132 1023 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 -1 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 -6 0 6 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327570393413 0.593462490312 9 11 13 4 0132 0321 0321 0132 0 1 0 1 0 0 0 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 0 -5 5 -7 0 0 7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538958628238 1.422000040820 8 12 4 14 0132 0132 0132 0132 0 1 1 0 0 0 0 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 0 0 0 0 0 -4 4 -1 1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.340912824462 0.552182442050 5 13 11 7 0132 1023 1023 1023 1 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -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 6 0 -6 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.340912824462 0.552182442050 14 5 10 8 0321 0132 1023 0321 0 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538958628238 1.422000040820 14 9 5 6 1023 0132 0132 1023 0 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 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 0.327570393413 0.593462490312 10 14 8 7 1023 0321 0321 0132 0 1 0 1 0 0 0 0 0 0 0 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 0 0 1 -1 -6 0 0 6 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538958628238 1.422000040820 11 12 9 13 0321 1023 0132 0321 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 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 0.538958628238 1.422000040820 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_14' : d['c_0101_10'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0110_12'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : d['c_0110_12'], 'c_1010_12' : d['c_0101_2'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0101_4'], 'c_1010_14' : d['c_0110_12'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(d['c_0101_11']), '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_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_12'], 'c_1100_9' : d['c_1001_13'], 'c_1100_8' : d['c_1001_13'], 'c_0011_13' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1001_13'], 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 'c_1100_14' : d['c_1001_13'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : negation(d['c_1001_8']), 'c_1100_13' : d['c_1001_8'], 's_3_10' : d['1'], 's_3_13' : negation(d['1']), 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0110_12'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_4'], 's_3_1' : negation(d['1']), 'c_0101_13' : d['c_0101_11'], '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_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_3_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : d['c_0101_4'], 'c_0110_12' : d['c_0110_12'], 'c_0110_14' : negation(d['c_0011_10']), 's_0_13' : negation(d['1']), 's_0_8' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_4'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0110_12, c_1001_0, c_1001_13, c_1001_4, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 55137/1250*c_1001_8^5 - 100989/2000*c_1001_8^4 + 155667/1250*c_1001_8^3 + 47147/5000*c_1001_8^2 - 1671223/10000*c_1001_8 + 1937947/20000, c_0011_0 - 1, c_0011_10 - 3*c_1001_8^5 - c_1001_8^4 + 4*c_1001_8^3 - 5*c_1001_8^2 + 1/2*c_1001_8 - 1/2, c_0011_12 + 3*c_1001_8^5 + c_1001_8^4 - 4*c_1001_8^3 + 5*c_1001_8^2 - 1/2*c_1001_8 + 1/2, c_0011_3 - 2*c_1001_8^5 - 2*c_1001_8^4 + 2*c_1001_8^3 - c_1001_8^2 - c_1001_8 - 1, c_0101_0 + 2*c_1001_8^5 - 2*c_1001_8^3 + 5*c_1001_8^2 - 2*c_1001_8 + 1, c_0101_10 + c_1001_8^5 - c_1001_8^4 - 2*c_1001_8^3 + 3*c_1001_8^2 - 5/2*c_1001_8 + 1/2, c_0101_11 - c_1001_8^5 - c_1001_8^4 - c_1001_8^2 + 1/2*c_1001_8 - 3/2, c_0101_2 - 2*c_1001_8^5 + 2*c_1001_8^3 - 5*c_1001_8^2 + 2*c_1001_8 - 1, c_0101_3 + 1, c_0101_4 - 1, c_0110_12 - 2*c_1001_8^5 + 2*c_1001_8^3 - 5*c_1001_8^2 + c_1001_8 - 1, c_1001_0 + c_1001_8^5 - c_1001_8^4 - 2*c_1001_8^3 + 4*c_1001_8^2 - 3/2*c_1001_8 - 1/2, c_1001_13 - c_1001_8, c_1001_4 - 2*c_1001_8^5 + 2*c_1001_8^3 - 5*c_1001_8^2 + c_1001_8 - 1, c_1001_8^6 + 2*c_1001_8^5 - c_1001_8^4 - c_1001_8^3 + 5/2*c_1001_8^2 + 1/2 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0110_12, c_1001_0, c_1001_13, c_1001_4, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 168454629136592984/2098332382856625*c_1001_8^13 + 6645485605108472/419666476571325*c_1001_8^12 - 1107073522246418872/2098332382856625*c_1001_8^11 - 125268797475304426/419666476571325*c_1001_8^10 + 203348283890004868/139888825523775*c_1001_8^9 + 2598453867272637803/2098332382856625*c_1001_8^8 - 3682161477739968808/2098332382856625*c_1001_8^7 - 17841097127935207/8228754442575*c_1001_8^6 + 1452577910561892718/2098332382856625*c_1001_8^5 + 405480550723087/268913543875*c_1001_8^4 + 37025503931040604/83933295314265*c_1001_8^3 - 531460698921379946/2098332382856625*c_1001_8^2 - 153521507243379736/699444127618875*c_1001_8 - 359554544977753378/2098332382856625, c_0011_0 - 1, c_0011_10 + 94246/505437*c_1001_8^13 - 42022/505437*c_1001_8^12 - 590231/505437*c_1001_8^11 - 67012/505437*c_1001_8^10 + 533335/168479*c_1001_8^9 + 852652/505437*c_1001_8^8 - 1735949/505437*c_1001_8^7 - 579160/168479*c_1001_8^6 + 229622/505437*c_1001_8^5 + 228266/168479*c_1001_8^4 + 711575/505437*c_1001_8^3 + 19250/505437*c_1001_8^2 + 38417/168479*c_1001_8 + 198694/505437, c_0011_12 - 94246/505437*c_1001_8^13 + 42022/505437*c_1001_8^12 + 590231/505437*c_1001_8^11 + 67012/505437*c_1001_8^10 - 533335/168479*c_1001_8^9 - 852652/505437*c_1001_8^8 + 1735949/505437*c_1001_8^7 + 579160/168479*c_1001_8^6 - 229622/505437*c_1001_8^5 - 228266/168479*c_1001_8^4 - 711575/505437*c_1001_8^3 - 19250/505437*c_1001_8^2 - 38417/168479*c_1001_8 - 198694/505437, c_0011_3 - 664808/842395*c_1001_8^13 - 1514934/842395*c_1001_8^12 + 3244566/842395*c_1001_8^11 + 10475951/842395*c_1001_8^10 - 2263838/842395*c_1001_8^9 - 26892727/842395*c_1001_8^8 - 14594554/842395*c_1001_8^7 + 24939818/842395*c_1001_8^6 + 5742326/168479*c_1001_8^5 + 58067/842395*c_1001_8^4 - 13314078/842395*c_1001_8^3 - 8907269/842395*c_1001_8^2 - 651006/168479*c_1001_8 - 1486233/842395, c_0101_0 + 18648/842395*c_1001_8^13 + 85394/842395*c_1001_8^12 - 38866/842395*c_1001_8^11 - 612641/842395*c_1001_8^10 - 358482/842395*c_1001_8^9 + 1624527/842395*c_1001_8^8 + 2060414/842395*c_1001_8^7 - 1713328/842395*c_1001_8^6 - 787678/168479*c_1001_8^5 + 226768/842395*c_1001_8^4 + 3600638/842395*c_1001_8^3 + 382909/842395*c_1001_8^2 - 186833/168479*c_1001_8 + 58253/842395, c_0101_10 - 397388/505437*c_1001_8^13 - 303142/505437*c_1001_8^12 + 2143612/505437*c_1001_8^11 + 2588873/505437*c_1001_8^10 - 1346964/168479*c_1001_8^9 - 7142531/505437*c_1001_8^8 + 852652/505437*c_1001_8^7 + 2335529/168479*c_1001_8^6 + 3428564/505437*c_1001_8^5 - 55922/168479*c_1001_8^4 - 1898224/505437*c_1001_8^3 - 1672753/505437*c_1001_8^2 - 523434/168479*c_1001_8 - 282137/505437, c_0101_11 + 564274/505437*c_1001_8^13 + 166886/505437*c_1001_8^12 - 3406649/505437*c_1001_8^11 - 2370580/505437*c_1001_8^10 + 2743871/168479*c_1001_8^9 + 8373136/505437*c_1001_8^8 - 7142531/505437*c_1001_8^7 - 3853792/168479*c_1001_8^6 - 328975/505437*c_1001_8^5 + 1330946/168479*c_1001_8^4 + 3500015/505437*c_1001_8^3 + 1487420/505437*c_1001_8^2 + 194781/168479*c_1001_8 - 500591/505437, c_0101_2 - 18648/842395*c_1001_8^13 - 85394/842395*c_1001_8^12 + 38866/842395*c_1001_8^11 + 612641/842395*c_1001_8^10 + 358482/842395*c_1001_8^9 - 1624527/842395*c_1001_8^8 - 2060414/842395*c_1001_8^7 + 1713328/842395*c_1001_8^6 + 787678/168479*c_1001_8^5 - 226768/842395*c_1001_8^4 - 3600638/842395*c_1001_8^3 - 382909/842395*c_1001_8^2 + 186833/168479*c_1001_8 - 58253/842395, c_0101_3 + 1, c_0101_4 - 1, c_0110_12 - 18648/842395*c_1001_8^13 - 85394/842395*c_1001_8^12 + 38866/842395*c_1001_8^11 + 612641/842395*c_1001_8^10 + 358482/842395*c_1001_8^9 - 1624527/842395*c_1001_8^8 - 2060414/842395*c_1001_8^7 + 1713328/842395*c_1001_8^6 + 787678/168479*c_1001_8^5 - 226768/842395*c_1001_8^4 - 3600638/842395*c_1001_8^3 - 382909/842395*c_1001_8^2 + 18354/168479*c_1001_8 - 58253/842395, c_1001_0 + 330644/2527185*c_1001_8^13 + 2698372/2527185*c_1001_8^12 + 107012/2527185*c_1001_8^11 - 17112638/2527185*c_1001_8^10 - 4452567/842395*c_1001_8^9 + 40498496/2527185*c_1001_8^8 + 50584997/2527185*c_1001_8^7 - 10635663/842395*c_1001_8^6 - 13444102/505437*c_1001_8^5 - 1766712/842395*c_1001_8^4 + 26553844/2527185*c_1001_8^3 + 11263807/2527185*c_1001_8^2 + 343330/168479*c_1001_8 + 3356054/2527185, c_1001_13 - c_1001_8, c_1001_4 - 18648/842395*c_1001_8^13 - 85394/842395*c_1001_8^12 + 38866/842395*c_1001_8^11 + 612641/842395*c_1001_8^10 + 358482/842395*c_1001_8^9 - 1624527/842395*c_1001_8^8 - 2060414/842395*c_1001_8^7 + 1713328/842395*c_1001_8^6 + 787678/168479*c_1001_8^5 - 226768/842395*c_1001_8^4 - 3600638/842395*c_1001_8^3 - 382909/842395*c_1001_8^2 + 18354/168479*c_1001_8 - 58253/842395, c_1001_8^14 + c_1001_8^13 - 11/2*c_1001_8^12 - 8*c_1001_8^11 + 10*c_1001_8^10 + 22*c_1001_8^9 - 22*c_1001_8^7 - 13*c_1001_8^6 + c_1001_8^5 + 13/2*c_1001_8^4 + 6*c_1001_8^3 + 4*c_1001_8^2 + c_1001_8 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.390 Total time: 0.610 seconds, Total memory usage: 32.09MB