Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 3532869133] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1803 geometric_solution 5.47117564 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 3201 2031 1302 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 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520054800992 0.217514719421 0 2 0 3 0132 0132 2310 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 0 0 0 0 0 1.063314771771 0.871480800554 4 1 5 3 0132 0132 0132 1230 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 -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 1.122337558470 0.897281017018 2 5 1 4 3012 1023 0132 1023 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 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 1.122337558470 0.897281017018 2 4 4 3 0132 3201 2310 1023 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007910013536 0.674160659851 3 6 6 2 1023 0132 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.763394031307 0.286859689582 5 5 6 6 2310 0132 2031 1302 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.281705954844 0.777253361642 ==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' : d['c_0101_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_5'], '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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 66204658159479/4889780417*c_0101_6^17 - 357735738071808/4889780417*c_0101_6^15 - 565971020874064/4889780417*c_0101_6^13 - 99327807884629/4889780417*c_0101_6^11 + 296418603055765/4889780417*c_0101_6^9 + 120537463000251/4889780417*c_0101_6^7 - 51556222827093/4889780417*c_0101_6^5 - 7495553102927/4889780417*c_0101_6^3 - 1595588810392/4889780417*c_0101_6, c_0011_0 - 1, c_0011_3 + 961417350/1340033*c_0101_6^17 + 5199532182/1340033*c_0101_6^15 + 8244611355/1340033*c_0101_6^13 + 1485622202/1340033*c_0101_6^11 - 4297206794/1340033*c_0101_6^9 - 1783075423/1340033*c_0101_6^7 + 732864559/1340033*c_0101_6^5 + 115987548/1340033*c_0101_6^3 + 26884971/1340033*c_0101_6, c_0101_0 - 27072138249/119262937*c_0101_6^16 - 146702917197/119262937*c_0101_6^14 - 233844457094/119262937*c_0101_6^12 - 45087954133/119262937*c_0101_6^10 + 118652889352/119262937*c_0101_6^8 + 49411062993/119262937*c_0101_6^6 - 20827549451/119262937*c_0101_6^4 - 3044717120/119262937*c_0101_6^2 - 523761795/119262937, c_0101_1 - 27162257715/119262937*c_0101_6^16 - 147484704195/119262937*c_0101_6^14 - 236288104103/119262937*c_0101_6^12 - 48223569300/119262937*c_0101_6^10 + 117764152348/119262937*c_0101_6^8 + 50752833797/119262937*c_0101_6^6 - 19805863812/119262937*c_0101_6^4 - 3306349571/119262937*c_0101_6^2 - 660315586/119262937, c_0101_2 + 834445800/1340033*c_0101_6^17 + 4500677727/1340033*c_0101_6^15 + 7089657089/1340033*c_0101_6^13 + 1187608090/1340033*c_0101_6^11 - 3726939432/1340033*c_0101_6^9 - 1449509705/1340033*c_0101_6^7 + 680730120/1340033*c_0101_6^5 + 80067989/1340033*c_0101_6^3 + 13113817/1340033*c_0101_6, c_0101_5 - 29311650387/119262937*c_0101_6^16 - 159962393466/119262937*c_0101_6^14 - 259425198259/119262937*c_0101_6^12 - 59444472391/119262937*c_0101_6^10 + 124697587617/119262937*c_0101_6^8 + 57341805783/119262937*c_0101_6^6 - 19826877588/119262937*c_0101_6^4 - 3619435647/119262937*c_0101_6^2 - 728750043/119262937, c_0101_6^18 + 44/9*c_0101_6^16 + 467/81*c_0101_6^14 - 236/81*c_0101_6^12 - 427/81*c_0101_6^10 + 13/27*c_0101_6^8 + 140/81*c_0101_6^6 - 23/81*c_0101_6^4 - 1/27*c_0101_6^2 - 1/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB