Magma V2.19-8 Tue Aug 20 2013 16:16:16 on localhost [Seed = 3768679426] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0532 geometric_solution 4.55101968 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 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 1 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 0 0 0.103529059842 0.349568107919 0 4 4 0 0132 0132 1023 1023 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 0 0 0 1.743159865883 0.763177491231 5 0 3 5 0132 0132 2103 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487257881016 0.679513231503 2 6 6 0 2103 0132 1023 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 1 -1 0 0 0 -1 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487257881016 0.679513231503 4 1 1 4 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.734301595068 0.143511604409 2 6 6 2 0132 2310 3201 1023 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 0 0 0 0 1.414147805489 0.531588864581 5 3 3 5 2310 0132 1023 3201 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 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.414147805489 0.531588864581 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : d['1'], 's_2_6' : 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_0_6' : 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_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_3']})} 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_3, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 437507805653/28051171435*c_0101_6^13 + 156130335322/28051171435*c_0101_6^12 + 634793932569/4007310205*c_0101_6^11 - 4099618259217/28051171435*c_0101_6^10 - 941270187347/4007310205*c_0101_6^9 - 13432368074231/28051171435*c_0101_6^8 + 8550002140779/28051171435*c_0101_6^7 + 10188767265527/28051171435*c_0101_6^6 + 271653123794/5610234287*c_0101_6^5 + 6578118886734/28051171435*c_0101_6^4 - 2187480190404/28051171435*c_0101_6^3 - 374935517315/5610234287*c_0101_6^2 - 1711263520636/28051171435*c_0101_6 - 1063740659967/28051171435, c_0011_0 - 1, c_0011_3 - 80828502/801462041*c_0101_6^13 - 87584996/801462041*c_0101_6^12 - 897688475/801462041*c_0101_6^11 + 97754889/801462041*c_0101_6^10 + 1121327054/801462041*c_0101_6^9 + 3384270071/801462041*c_0101_6^8 + 789091359/801462041*c_0101_6^7 - 539773988/801462041*c_0101_6^6 - 136365744/801462041*c_0101_6^5 - 1137805590/801462041*c_0101_6^4 - 1343308377/801462041*c_0101_6^3 - 2267214931/801462041*c_0101_6^2 - 3188049/801462041*c_0101_6 + 82079900/801462041, c_0101_1 - 586464647/801462041*c_0101_6^13 - 99347998/801462041*c_0101_6^12 - 5942379208/801462041*c_0101_6^11 + 6542856347/801462041*c_0101_6^10 + 7455883632/801462041*c_0101_6^9 + 15975657915/801462041*c_0101_6^8 - 14602139195/801462041*c_0101_6^7 - 8944955638/801462041*c_0101_6^6 + 2719781429/801462041*c_0101_6^5 - 8502076933/801462041*c_0101_6^4 + 1334792473/801462041*c_0101_6^3 + 1064343225/801462041*c_0101_6^2 + 1283180897/801462041*c_0101_6 + 221839485/801462041, c_0101_2 - 82079900/801462041*c_0101_6^13 - 80828502/801462041*c_0101_6^12 - 908383996/801462041*c_0101_6^11 + 169350225/801462041*c_0101_6^10 + 1082713689/801462041*c_0101_6^9 + 3173324554/801462041*c_0101_6^8 + 839793171/801462041*c_0101_6^7 - 606266941/801462041*c_0101_6^6 - 47294588/801462041*c_0101_6^5 - 1203404444/801462041*c_0101_6^4 - 317006590/801462041*c_0101_6^3 - 1097068677/801462041*c_0101_6^2 - 1301593090/801462041*c_0101_6 + 78891851/801462041, c_0101_4 - 79186726/801462041*c_0101_6^13 + 22497075/801462041*c_0101_6^12 - 992603968/801462041*c_0101_6^11 + 1242516994/801462041*c_0101_6^10 - 1355660500/801462041*c_0101_6^9 + 4197374845/801462041*c_0101_6^8 - 522059764/801462041*c_0101_6^7 + 4583819019/801462041*c_0101_6^6 - 5007187770/801462041*c_0101_6^5 - 4358184553/801462041*c_0101_6^4 + 2063882378/801462041*c_0101_6^3 - 2465485758/801462041*c_0101_6^2 + 889028768/801462041*c_0101_6 + 241591623/801462041, c_0101_5 - c_0101_6, c_0101_6^14 + 10*c_0101_6^12 - 13*c_0101_6^11 - 12*c_0101_6^10 - 25*c_0101_6^9 + 31*c_0101_6^8 + 17*c_0101_6^7 - 6*c_0101_6^6 + 13*c_0101_6^5 - 10*c_0101_6^4 - 3*c_0101_6^3 - 2*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB