Magma V2.19-8 Tue Aug 20 2013 23:38:27 on localhost [Seed = 2799747742] Type ? for help. Type -D to quit. Loading file "K11n18__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n18 geometric_solution 10.14726988 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 -3 3 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473013309140 0.366116235728 0 4 2 5 0132 2031 1302 0132 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 0 0 0 0 0 -2 2 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414672776513 0.776358560148 1 0 7 6 2031 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -2 3 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823556674512 1.147468570785 6 8 7 0 3012 0132 0213 0132 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 -3 0 0 3 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.024157318992 0.637197402734 1 9 0 9 1302 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 -3 3 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425741381153 0.585974881529 7 8 1 10 2031 1023 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 -1 2 0 -2 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.147124098080 0.572395243124 9 8 2 3 0132 0213 0132 1230 0 0 0 0 0 0 -1 1 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 -3 3 0 0 0 0 0 -1 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992377870370 1.165015984366 10 3 5 2 3012 0213 1302 0132 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 -2 2 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 0.209255427410 0.478380098436 5 3 6 10 1023 0132 0213 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723499523068 1.408265614772 6 4 10 4 0132 0132 3012 0213 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 -1 1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425741381153 0.585974881529 8 9 5 7 3012 1230 0132 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 1 -1 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 0.652985661711 1.078695283994 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0011_7'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_7'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_6, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 101863495177103/1151983376*c_1001_2^21 - 22172739203779/67763728*c_1001_2^20 + 856588293979725/1151983376*c_1001_2^19 - 971910271559199/1151983376*c_1001_2^18 + 5591650835855/8470466*c_1001_2^17 + 2359372648642001/575991688*c_1001_2^16 - 8213256336149609/1151983376*c_1001_2^15 + 9085355618448527/1151983376*c_1001_2^14 + 237448715453475/287995844*c_1001_2^13 - 3534723532221767/287995844*c_1001_2^12 + 8655277744047363/287995844*c_1001_2^11 - 21631686166950077/575991688*c_1001_2^10 + 24035448969989059/575991688*c_1001_2^9 - 4850856161944649/143997922*c_1001_2^8 + 14749234339321855/575991688*c_1001_2^7 - 15514506046033727/1151983376*c_1001_2^6 + 9044313059599915/1151983376*c_1001_2^5 - 2166262291812977/1151983376*c_1001_2^4 + 1222887080435557/1151983376*c_1001_2^3 + 63690255931029/287995844*c_1001_2^2 + 116465431624/3789419*c_1001_2 + 74916772359523/1151983376, c_0011_0 - 1, c_0011_10 + 56*c_1001_2^21 - 417/2*c_1001_2^20 + 498*c_1001_2^19 - 1273/2*c_1001_2^18 + 1287/2*c_1001_2^17 + 2324*c_1001_2^16 - 4380*c_1001_2^15 + 6124*c_1001_2^14 - 1827*c_1001_2^13 - 10865/2*c_1001_2^12 + 19217*c_1001_2^11 - 55721/2*c_1001_2^10 + 70983/2*c_1001_2^9 - 66531/2*c_1001_2^8 + 28751*c_1001_2^7 - 19016*c_1001_2^6 + 12556*c_1001_2^5 - 5492*c_1001_2^4 + 2891*c_1001_2^3 - 672*c_1001_2^2 + 551/2*c_1001_2 - 9, c_0011_3 + 532*c_1001_2^21 - 3649/2*c_1001_2^20 + 3934*c_1001_2^19 - 7745/2*c_1001_2^18 + 5299/2*c_1001_2^17 + 25572*c_1001_2^16 - 36114*c_1001_2^15 + 35512*c_1001_2^14 + 16676*c_1001_2^13 - 142041/2*c_1001_2^12 + 159662*c_1001_2^11 - 356855/2*c_1001_2^10 + 385193/2*c_1001_2^9 - 280275/2*c_1001_2^8 + 103407*c_1001_2^7 - 42880*c_1001_2^6 + 26284*c_1001_2^5 + 1116*c_1001_2^4 + 2243*c_1001_2^3 + 3416*c_1001_2^2 - 233/2*c_1001_2 + 535, c_0011_4 + 15*c_1001_2^21 - 219/2*c_1001_2^20 + 633/2*c_1001_2^19 - 1155/2*c_1001_2^18 + 616*c_1001_2^17 + 435/2*c_1001_2^16 - 3567*c_1001_2^15 + 5096*c_1001_2^14 - 4610*c_1001_2^13 - 3219/2*c_1001_2^12 + 21119/2*c_1001_2^11 - 46499/2*c_1001_2^10 + 29677*c_1001_2^9 - 33783*c_1001_2^8 + 59129/2*c_1001_2^7 - 23816*c_1001_2^6 + 14872*c_1001_2^5 - 9402*c_1001_2^4 + 3801*c_1001_2^3 - 2002*c_1001_2^2 + 789/2*c_1001_2 - 359/2, c_0011_7 - 543/2*c_1001_2^21 + 2569/2*c_1001_2^20 - 6745/2*c_1001_2^19 + 5200*c_1001_2^18 - 10765/2*c_1001_2^17 - 9427*c_1001_2^16 + 33775*c_1001_2^15 - 48751*c_1001_2^14 + 58723/2*c_1001_2^13 + 59657/2*c_1001_2^12 - 250827/2*c_1001_2^11 + 217667*c_1001_2^10 - 274374*c_1001_2^9 + 560499/2*c_1001_2^8 - 239938*c_1001_2^7 + 174652*c_1001_2^6 - 109252*c_1001_2^5 + 58945*c_1001_2^4 - 25683*c_1001_2^3 + 20469/2*c_1001_2^2 - 4945/2*c_1001_2 + 698, c_0101_0 - 3*c_1001_2^21 + 11*c_1001_2^20 - 26*c_1001_2^19 + 32*c_1001_2^18 - 31*c_1001_2^17 - 129*c_1001_2^16 + 229*c_1001_2^15 - 313*c_1001_2^14 + 55*c_1001_2^13 + 315*c_1001_2^12 - 1020*c_1001_2^11 + 1402*c_1001_2^10 - 1762*c_1001_2^9 + 1574*c_1001_2^8 - 1356*c_1001_2^7 + 843*c_1001_2^6 - 561*c_1001_2^5 + 210*c_1001_2^4 - 122*c_1001_2^3 + 7*c_1001_2^2 - 11*c_1001_2 - 5, c_0101_10 - 565*c_1001_2^21 + 2453*c_1001_2^20 - 6134*c_1001_2^19 + 8656*c_1001_2^18 - 8301*c_1001_2^17 - 22407*c_1001_2^16 + 61155*c_1001_2^15 - 80867*c_1001_2^14 + 33231*c_1001_2^13 + 71021*c_1001_2^12 - 234628*c_1001_2^11 + 367730*c_1001_2^10 - 445599*c_1001_2^9 + 430716*c_1001_2^8 - 358563*c_1001_2^7 + 247204*c_1001_2^6 - 152208*c_1001_2^5 + 76286*c_1001_2^4 - 33478*c_1001_2^3 + 11865*c_1001_2^2 - 3013*c_1001_2 + 693, c_0101_2 - 81/2*c_1001_2^21 + 311/2*c_1001_2^20 - 711/2*c_1001_2^19 + 416*c_1001_2^18 - 651/2*c_1001_2^17 - 1845*c_1001_2^16 + 3513*c_1001_2^15 - 3757*c_1001_2^14 - 311/2*c_1001_2^13 + 11335/2*c_1001_2^12 - 27973/2*c_1001_2^11 + 18345*c_1001_2^10 - 20407*c_1001_2^9 + 34769/2*c_1001_2^8 - 13487*c_1001_2^7 + 7859*c_1001_2^6 - 4604*c_1001_2^5 + 1679*c_1001_2^4 - 749*c_1001_2^3 + 203/2*c_1001_2^2 - 79/2*c_1001_2 - 10, c_0101_6 + 24*c_1001_2^21 - 179/2*c_1001_2^20 + 198*c_1001_2^19 - 411/2*c_1001_2^18 + 229/2*c_1001_2^17 + 1203*c_1001_2^16 - 2044*c_1001_2^15 + 1922*c_1001_2^14 + 947*c_1001_2^13 - 8385/2*c_1001_2^12 + 8439*c_1001_2^11 - 18685/2*c_1001_2^10 + 17745/2*c_1001_2^9 - 10731/2*c_1001_2^8 + 2725*c_1001_2^7 + 264*c_1001_2^6 - 904*c_1001_2^5 + 1444*c_1001_2^4 - 755*c_1001_2^3 + 556*c_1001_2^2 - 267/2*c_1001_2 + 69, c_1001_0 - c_1001_2^21 + 4*c_1001_2^20 - 10*c_1001_2^19 + 14*c_1001_2^18 - 15*c_1001_2^17 - 38*c_1001_2^16 + 89*c_1001_2^15 - 134*c_1001_2^14 + 63*c_1001_2^13 + 84*c_1001_2^12 - 368*c_1001_2^11 + 590*c_1001_2^10 - 784*c_1001_2^9 + 786*c_1001_2^8 - 714*c_1001_2^7 + 519*c_1001_2^6 - 360*c_1001_2^5 + 190*c_1001_2^4 - 104*c_1001_2^3 + 37*c_1001_2^2 - 15*c_1001_2 + 3, c_1001_2^22 - 4*c_1001_2^21 + 10*c_1001_2^20 - 14*c_1001_2^19 + 15*c_1001_2^18 + 38*c_1001_2^17 - 89*c_1001_2^16 + 134*c_1001_2^15 - 63*c_1001_2^14 - 84*c_1001_2^13 + 368*c_1001_2^12 - 590*c_1001_2^11 + 784*c_1001_2^10 - 786*c_1001_2^9 + 714*c_1001_2^8 - 519*c_1001_2^7 + 360*c_1001_2^6 - 190*c_1001_2^5 + 104*c_1001_2^4 - 37*c_1001_2^3 + 16*c_1001_2^2 - 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.360 Total time: 0.570 seconds, Total memory usage: 32.09MB