Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 1275974014] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2769 geometric_solution 6.00130559 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.471475425742 0.229312290864 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813277619699 0.604935237367 1 4 5 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272889573046 1.041590458550 2 5 4 1 3201 1023 1023 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 1 0 -1 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 0.272889573046 1.041590458550 6 2 3 6 0132 0132 1023 3201 0 0 0 0 0 0 -1 1 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 1 -1 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 0.687755009657 0.584051969177 3 5 5 2 1023 1230 3012 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 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 0.222087789615 0.760895727521 4 4 6 6 0132 2310 2031 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 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 1.712567521750 0.967462878985 ==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' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), '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_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 40 Groebner basis: [ t + 154086504335129/8646752256*c_0101_4*c_0101_6^19 - 264843588217861/8646752256*c_0101_4*c_0101_6^18 - 1650226642716299/4323376128*c_0101_4*c_0101_6^17 + 869145258690319/1441125376*c_0101_4*c_0101_6^16 + 23297546763482521/8646752256*c_0101_4*c_0101_6^15 - 4464430843253577/1441125376*c_0101_4*c_0101_6^14 - 11407370786526939/1441125376*c_0101_4*c_0101_6^13 + 2193464606945221/720562688*c_0101_4*c_0101_6^12 + 57917315298997171/8646752256*c_0101_4*c_0101_6^11 + 1330232545310059/227546112*c_0101_4*c_0101_6^10 + 68751619735062451/8646752256*c_0101_4*c_0101_6^9 + 1099787487630079/227546112*c_0101_4*c_0101_6^8 + 6036152378871425/1080844032*c_0101_4*c_0101_6^7 + 6491085221531075/1080844032*c_0101_4*c_0101_6^6 - 1549695419342681/1080844032*c_0101_4*c_0101_6^5 - 32699025780283757/8646752256*c_0101_4*c_0101_6^4 - 433297053160833/2882250752*c_0101_4*c_0101_6^3 + 5857004101683139/8646752256*c_0101_4*c_0101_6^2 + 85386791178001/2882250752*c_0101_4*c_0101_6 - 338067875166421/8646752256*c_0101_4, c_0011_0 - 1, c_0011_1 + 645701633/18962176*c_0101_6^19 - 1104262461/18962176*c_0101_6^18 - 6933303911/9481088*c_0101_6^17 + 10889859713/9481088*c_0101_6^16 + 98379120809/18962176*c_0101_6^15 - 56154097863/9481088*c_0101_6^14 - 145845404145/9481088*c_0101_6^13 + 28096987805/4740544*c_0101_6^12 + 254800310235/18962176*c_0101_6^11 + 104880255509/9481088*c_0101_6^10 + 281512950243/18962176*c_0101_6^9 + 84299594353/9481088*c_0101_6^8 + 23897079627/2370272*c_0101_6^7 + 13202010463/1185136*c_0101_6^6 - 7477157473/2370272*c_0101_6^5 - 147265887021/18962176*c_0101_6^4 - 5590623323/18962176*c_0101_6^3 + 28816271899/18962176*c_0101_6^2 + 1533639107/18962176*c_0101_6 - 1869619973/18962176, c_0011_3 - 246849914133/1441125376*c_0101_4*c_0101_6^19 + 405751432097/1441125376*c_0101_4*c_0101_6^18 + 2661279481663/720562688*c_0101_4*c_0101_6^17 - 3982828732361/720562688*c_0101_4*c_0101_6^16 - 38016322691413/1441125376*c_0101_4*c_0101_6^15 + 20138697235287/720562688*c_0101_4*c_0101_6^14 + 56637102969317/720562688*c_0101_4*c_0101_6^13 - 8721193898831/360281344*c_0101_4*c_0101_6^12 - 96916032869111/1441125376*c_0101_4*c_0101_6^11 - 2272128376575/37924352*c_0101_4*c_0101_6^10 - 115536094504359/1441125376*c_0101_4*c_0101_6^9 - 1971159947627/37924352*c_0101_4*c_0101_6^8 - 10211833148023/180140672*c_0101_4*c_0101_6^7 - 11156380471945/180140672*c_0101_4*c_0101_6^6 + 1750513649339/180140672*c_0101_4*c_0101_6^5 + 54110850999305/1441125376*c_0101_4*c_0101_6^4 + 4892847934519/1441125376*c_0101_4*c_0101_6^3 - 9710997857447/1441125376*c_0101_4*c_0101_6^2 - 744846504615/1441125376*c_0101_4*c_0101_6 + 600163913009/1441125376*c_0101_4, c_0101_0 - 36453903649/720562688*c_0101_4*c_0101_6^19 + 65547136461/720562688*c_0101_4*c_0101_6^18 + 387945581427/360281344*c_0101_4*c_0101_6^17 - 647675575973/360281344*c_0101_4*c_0101_6^16 - 5415338492481/720562688*c_0101_4*c_0101_6^15 + 3383949747475/360281344*c_0101_4*c_0101_6^14 + 7854118985129/360281344*c_0101_4*c_0101_6^13 - 1866484200823/180140672*c_0101_4*c_0101_6^12 - 13289729563307/720562688*c_0101_4*c_0101_6^11 - 289735165651/18962176*c_0101_4*c_0101_6^10 - 15236629662635/720562688*c_0101_4*c_0101_6^9 - 223101744215/18962176*c_0101_4*c_0101_6^8 - 1313701557285/90070336*c_0101_4*c_0101_6^7 - 1401623197659/90070336*c_0101_4*c_0101_6^6 + 501400461005/90070336*c_0101_4*c_0101_6^5 + 7634028960085/720562688*c_0101_4*c_0101_6^4 - 193168104933/720562688*c_0101_4*c_0101_6^3 - 1445315983547/720562688*c_0101_4*c_0101_6^2 - 10519292075/720562688*c_0101_4*c_0101_6 + 84907065725/720562688*c_0101_4, c_0101_1 - 18814443/296284*c_0101_6^19 + 1018483395/9481088*c_0101_6^18 + 1619527637/1185136*c_0101_6^17 - 10041871401/4740544*c_0101_6^16 - 23066720153/2370272*c_0101_6^15 + 103324527287/9481088*c_0101_6^14 + 274989874249/9481088*c_0101_6^13 - 101384581961/9481088*c_0101_6^12 - 242434911601/9481088*c_0101_6^11 - 49477959613/2370272*c_0101_6^10 - 131985393147/4740544*c_0101_6^9 - 160078318837/9481088*c_0101_6^8 - 178121786371/9481088*c_0101_6^7 - 198896502359/9481088*c_0101_6^6 + 54394246013/9481088*c_0101_6^5 + 140459836073/9481088*c_0101_6^4 + 3343487683/4740544*c_0101_6^3 - 27945849971/9481088*c_0101_6^2 - 831228735/4740544*c_0101_6 + 1869204067/9481088, c_0101_4^2 - 187140805/18962176*c_0101_6^19 + 306873529/18962176*c_0101_6^18 + 2024172947/9481088*c_0101_6^17 - 3021893645/9481088*c_0101_6^16 - 29100461901/18962176*c_0101_6^15 + 15413674279/9481088*c_0101_6^14 + 43889777505/9481088*c_0101_6^13 - 7039759263/4740544*c_0101_6^12 - 78683079519/18962176*c_0101_6^11 - 31955749961/9481088*c_0101_6^10 - 84012274783/18962176*c_0101_6^9 - 26498243777/9481088*c_0101_6^8 - 219780373/74071*c_0101_6^7 - 8019681719/2370272*c_0101_6^6 + 465532883/592568*c_0101_6^5 + 45624124569/18962176*c_0101_6^4 + 3468809751/18962176*c_0101_6^3 - 9301020879/18962176*c_0101_6^2 - 713186559/18962176*c_0101_6 + 645701633/18962176, c_0101_6^20 - 2*c_0101_6^19 - 21*c_0101_6^18 + 40*c_0101_6^17 + 143*c_0101_6^16 - 219*c_0101_6^15 - 404*c_0101_6^14 + 310*c_0101_6^13 + 351*c_0101_6^12 + 203*c_0101_6^11 + 337*c_0101_6^10 + 131*c_0101_6^9 + 214*c_0101_6^8 + 240*c_0101_6^7 - 192*c_0101_6^6 - 205*c_0101_6^5 + 62*c_0101_6^4 + 50*c_0101_6^3 - 12*c_0101_6^2 - 4*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB