Magma V2.19-8 Tue Aug 20 2013 16:15:51 on localhost [Seed = 2345277345] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0084 geometric_solution 3.62786143 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 -1 2 -1 0 0 1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 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 -0.472059272573 0.074688128589 0 0 2 2 0132 3201 2310 0132 0 0 0 0 0 -1 1 0 1 0 0 -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 -1 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 0 0 0 6.230746140715 1.678480800187 3 1 1 3 0132 3201 0132 3201 0 0 0 0 0 -1 0 1 -1 0 1 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 -1 0 1 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 -0.364572554229 0.240396167100 2 2 5 4 0132 2310 0132 0132 0 0 0 0 0 -1 1 0 1 0 0 -1 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 -1 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 0 0 0 0.503376352613 0.637939735888 6 5 3 5 0132 2031 0132 1302 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747091175754 0.253471361083 4 6 4 3 1302 2310 2031 0132 0 0 0 0 0 0 1 -1 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 1 -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 0.747091175754 0.253471361083 4 6 6 5 0132 1230 3012 3201 0 0 0 0 0 -1 1 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799647121939 0.407252940010 ==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' : negation(d['1']), 's_1_6' : negation(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_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_1']), '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_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 20299729929381273/97518364567592456*c_0101_6^19 + 1120061630633745637/195036729135184912*c_0101_6^17 + 4249105378748775307/48759182283796228*c_0101_6^15 + 53542176063781010685/97518364567592456*c_0101_6^13 + 84112134799865124223/48759182283796228*c_0101_6^11 + 32857645976274205149/11472748772657936*c_0101_6^9 + 121685131429486603467/48759182283796228*c_0101_6^7 + 218972285499595678783/195036729135184912*c_0101_6^5 + 60875883137455893169/195036729135184912*c_0101_6^3 + 1608506332962428159/48759182283796228*c_0101_6, c_0011_0 - 1, c_0011_2 + 50043643645895/2868187193164484*c_0101_6^18 + 1389360373165747/2868187193164484*c_0101_6^16 + 10594232561915323/1434093596582242*c_0101_6^14 + 33891421452601371/717046798291121*c_0101_6^12 + 436324708633779977/2868187193164484*c_0101_6^10 + 750351947782796049/2868187193164484*c_0101_6^8 + 682479439874733757/2868187193164484*c_0101_6^6 + 153372509579230453/1434093596582242*c_0101_6^4 + 65764438336264447/2868187193164484*c_0101_6^2 + 970358858789871/717046798291121, c_0011_4 + 876570446365/11472748772657936*c_0101_6^18 + 22168415999611/2868187193164484*c_0101_6^16 + 1042141984629987/5736374386328968*c_0101_6^14 + 13848006297938897/5736374386328968*c_0101_6^12 + 153869984548425785/11472748772657936*c_0101_6^10 + 209091384631448595/5736374386328968*c_0101_6^8 + 573113302037874749/11472748772657936*c_0101_6^6 + 385033339598422917/11472748772657936*c_0101_6^4 + 14570417343348163/1434093596582242*c_0101_6^2 + 948060488953646/717046798291121, c_0101_0 + 186143534948449/11472748772657936*c_0101_6^18 + 1291322978879727/2868187193164484*c_0101_6^16 + 39368152167950623/5736374386328968*c_0101_6^14 + 251531309346189829/5736374386328968*c_0101_6^12 + 1614904492160803149/11472748772657936*c_0101_6^10 + 1384282201950130007/5736374386328968*c_0101_6^8 + 2515257378211528641/11472748772657936*c_0101_6^6 + 1142891073936714729/11472748772657936*c_0101_6^4 + 31782284945327767/1434093596582242*c_0101_6^2 + 1274459048623178/717046798291121, c_0101_1 + 627499184290401/22945497545315872*c_0101_6^19 + 4381511254122119/5736374386328968*c_0101_6^17 + 134315932940686071/11472748772657936*c_0101_6^15 + 872650199982531405/11472748772657936*c_0101_6^13 + 5770830146320038141/22945497545315872*c_0101_6^11 + 5208158081126140967/11472748772657936*c_0101_6^9 + 10382585844009972209/22945497545315872*c_0101_6^7 + 5587901837977933433/22945497545315872*c_0101_6^5 + 199932409264498735/2868187193164484*c_0101_6^3 + 11657923841249081/1434093596582242*c_0101_6, c_0101_3 + 185322532970669/11472748772657936*c_0101_6^19 + 2552584730228321/5736374386328968*c_0101_6^17 + 38696321779535691/5736374386328968*c_0101_6^15 + 243060124193818163/5736374386328968*c_0101_6^13 + 1522845632024886565/11472748772657936*c_0101_6^11 + 631896803846321857/2868187193164484*c_0101_6^9 + 2226824480956022569/11472748772657936*c_0101_6^7 + 1040127073236801387/11472748772657936*c_0101_6^5 + 146317597048626907/5736374386328968*c_0101_6^3 + 3226102524302993/1434093596582242*c_0101_6, c_0101_6^20 + 28*c_0101_6^18 + 430*c_0101_6^16 + 2810*c_0101_6^14 + 9373*c_0101_6^12 + 17166*c_0101_6^10 + 17617*c_0101_6^8 + 10201*c_0101_6^6 + 3512*c_0101_6^4 + 656*c_0101_6^2 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB