Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 1309659797] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0937 geometric_solution 4.84048263 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 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 0.482721799173 0.945891297345 0 3 2 4 0132 3201 0132 0132 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 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 0.143905886453 1.677512747713 3 0 4 1 1023 0132 2310 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 -1 0 1 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 0.143905886453 1.677512747713 0 2 1 0 3201 1023 2310 0132 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 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 0.474617605741 0.295882892533 5 2 1 5 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164627277635 0.202910522941 4 6 6 4 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.578190175985 1.065970615349 6 5 5 6 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 1.775123412781 0.189583052142 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), '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_4, 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: 16 Groebner basis: [ t + 162677554332272064/105500296263725*c_0101_6^15 - 310335591863636112/21100059252745*c_0101_6^13 + 9539566182470966724/105500296263725*c_0101_6^11 - 6117420994760112194/105500296263725*c_0101_6^9 + 19563447705931963527/422001185054900*c_0101_6^7 - 4670330134505184859/422001185054900*c_0101_6^5 + 179954897693269126/105500296263725*c_0101_6^3 - 1963908579785283/422001185054900*c_0101_6, c_0011_0 - 1, c_0011_4 - 314279502208/504786106525*c_0101_6^15 - 383832243808/100957221305*c_0101_6^13 + 28102557809112/504786106525*c_0101_6^11 - 272992153655852/504786106525*c_0101_6^9 + 307526794884733/1009572213050*c_0101_6^7 - 261550217523861/1009572213050*c_0101_6^5 + 49494437118851/1009572213050*c_0101_6^3 - 3196810587736/504786106525*c_0101_6, c_0101_0 - 19051566879232/504786106525*c_0101_6^15 + 35485096154624/100957221305*c_0101_6^13 - 1076217947444672/504786106525*c_0101_6^11 + 464456592236552/504786106525*c_0101_6^9 - 410865526582454/504786106525*c_0101_6^7 + 19223471520261/1009572213050*c_0101_6^5 + 8358923228172/504786106525*c_0101_6^3 - 3370987685054/504786106525*c_0101_6, c_0101_1 - 2525414319232/504786106525*c_0101_6^14 + 967769722976/20191444261*c_0101_6^12 - 149004147684792/504786106525*c_0101_6^10 + 100274819480012/504786106525*c_0101_6^8 - 148945024424873/1009572213050*c_0101_6^6 + 39523357109291/1009572213050*c_0101_6^4 - 1205883831683/504786106525*c_0101_6^2 + 60480508361/504786106525, c_0101_2 - 14878599934656/504786106525*c_0101_6^15 + 6094193434832/20191444261*c_0101_6^13 - 971502864069636/504786106525*c_0101_6^11 + 1166431194948846/504786106525*c_0101_6^9 - 3234472449882643/2019144426100*c_0101_6^7 + 811016583330703/1009572213050*c_0101_6^5 - 156766892764353/1009572213050*c_0101_6^3 + 9364797362338/504786106525*c_0101_6, c_0101_5 - 2981398220864/100957221305*c_0101_6^15 + 29155625174256/100957221305*c_0101_6^13 - 181591986974988/100957221305*c_0101_6^11 + 153381073316266/100957221305*c_0101_6^9 - 446107488145113/403828885220*c_0101_6^7 + 80161293440313/201914442610*c_0101_6^5 - 12620581726259/201914442610*c_0101_6^3 + 75514608902/20191444261*c_0101_6, c_0101_6^16 - 39/4*c_0101_6^14 + 971/16*c_0101_6^12 - 1609/32*c_0101_6^10 + 10153/256*c_0101_6^8 - 467/32*c_0101_6^6 + 111/32*c_0101_6^4 - 7/16*c_0101_6^2 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB