Magma V2.19-8 Tue Aug 20 2013 23:38:11 on localhost [Seed = 1713373763] Type ? for help. Type -D to quit. Loading file "K10a123__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a123 geometric_solution 8.45858027 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 -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 1.405177289333 0.835874398291 0 5 4 2 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659078396957 0.660349973699 3 0 1 6 0132 0132 0132 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 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 1.665027401791 1.175043490891 2 7 8 0 0132 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024970633486 0.801056743383 8 5 0 1 2031 0213 0132 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684763704533 0.333858466453 7 1 4 9 0132 0132 0213 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 1 0 -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 -0.081056159579 0.760175660744 7 7 2 9 3012 0213 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224492287930 0.474618091050 5 3 6 6 0132 0132 0213 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 -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 0.224492287930 0.474618091050 9 9 4 3 0321 3120 1302 0132 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 0 1 1 0 -1 0 -10 9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182752671852 0.573249528254 8 8 5 6 0321 3120 0132 1023 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 10 -9 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182752671852 0.573249528254 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : d['c_0110_4'], 's_2_8' : d['1'], 's_2_9' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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_9' : d['c_1010_4'], 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : d['c_1010_4'], 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : negation(d['c_1010_4']), 'c_1100_1' : negation(d['c_1010_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : negation(d['c_1010_4']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0011_4']), 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0110_4, c_1001_0, c_1001_2, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3864625732/724675*c_1010_4^8 + 6919858916/724675*c_1010_4^7 - 9410555488/724675*c_1010_4^6 - 75749492158/724675*c_1010_4^5 - 144941481599/724675*c_1010_4^4 - 134144788014/724675*c_1010_4^3 - 68268479676/724675*c_1010_4^2 - 31623341837/1449350*c_1010_4 + 2224343781/1449350, c_0011_0 - 1, c_0011_4 - 184104/103525*c_1010_4^8 - 242752/103525*c_1010_4^7 + 549536/103525*c_1010_4^6 + 3318976/103525*c_1010_4^5 + 5344078/103525*c_1010_4^4 + 4145708/103525*c_1010_4^3 + 1990622/103525*c_1010_4^2 + 682957/103525*c_1010_4 + 85934/103525, c_0011_8 - 114576/103525*c_1010_4^8 - 241388/103525*c_1010_4^7 + 238084/103525*c_1010_4^6 + 2375944/103525*c_1010_4^5 + 4939932/103525*c_1010_4^4 + 4840777/103525*c_1010_4^3 + 2420718/103525*c_1010_4^2 + 525833/103525*c_1010_4 + 56571/103525, c_0011_9 - 114576/103525*c_1010_4^8 - 241388/103525*c_1010_4^7 + 238084/103525*c_1010_4^6 + 2375944/103525*c_1010_4^5 + 4939932/103525*c_1010_4^4 + 4840777/103525*c_1010_4^3 + 2420718/103525*c_1010_4^2 + 525833/103525*c_1010_4 + 56571/103525, c_0101_0 - 176612/103525*c_1010_4^8 - 175256/103525*c_1010_4^7 + 579608/103525*c_1010_4^6 + 2993228/103525*c_1010_4^5 + 4190259/103525*c_1010_4^4 + 2677349/103525*c_1010_4^3 + 1022241/103525*c_1010_4^2 + 101171/103525*c_1010_4 - 41273/103525, c_0101_1 + c_1010_4, c_0110_4 + 184104/103525*c_1010_4^8 + 242752/103525*c_1010_4^7 - 549536/103525*c_1010_4^6 - 3318976/103525*c_1010_4^5 - 5344078/103525*c_1010_4^4 - 4145708/103525*c_1010_4^3 - 1990622/103525*c_1010_4^2 - 579432/103525*c_1010_4 - 85934/103525, c_1001_0 + 9524/103525*c_1010_4^8 - 111188/103525*c_1010_4^7 - 165616/103525*c_1010_4^6 + 223744/103525*c_1010_4^5 + 1890257/103525*c_1010_4^4 + 2927652/103525*c_1010_4^3 + 2008868/103525*c_1010_4^2 + 642283/103525*c_1010_4 + 95971/103525, c_1001_2 - 35376/103525*c_1010_4^8 - 87888/103525*c_1010_4^7 + 113584/103525*c_1010_4^6 + 769844/103525*c_1010_4^5 + 1548132/103525*c_1010_4^4 + 1140152/103525*c_1010_4^3 + 588068/103525*c_1010_4^2 + 272558/103525*c_1010_4 + 6971/103525, c_1010_4^9 + 2*c_1010_4^8 - 2*c_1010_4^7 - 20*c_1010_4^6 - 167/4*c_1010_4^5 - 175/4*c_1010_4^4 - 109/4*c_1010_4^3 - 10*c_1010_4^2 - 7/4*c_1010_4 - 1/4 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0110_4, c_1001_0, c_1001_2, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 922366189457/90017026677*c_1010_4^9 + 3268112138710/90017026677*c_1010_4^8 + 24932949228446/90017026677*c_1010_4^7 + 11868633022103/30005675559*c_1010_4^6 - 20480183595280/90017026677*c_1010_4^5 - 23040664137707/30005675559*c_1010_4^4 - 73083565443835/90017026677*c_1010_4^3 - 38811679901413/90017026677*c_1010_4^2 - 3776693927327/90017026677*c_1010_4 - 442095702917/10001891853, c_0011_0 - 1, c_0011_4 - 79607505/370440439*c_1010_4^9 + 298939440/370440439*c_1010_4^8 + 2077020802/370440439*c_1010_4^7 + 2673862386/370440439*c_1010_4^6 - 2037068743/370440439*c_1010_4^5 - 5045927050/370440439*c_1010_4^4 - 5154921607/370440439*c_1010_4^3 - 2798741166/370440439*c_1010_4^2 - 1048087153/370440439*c_1010_4 - 845529920/370440439, c_0011_8 + 4220199/370440439*c_1010_4^9 - 6659283/370440439*c_1010_4^8 - 143305066/370440439*c_1010_4^7 - 388528982/370440439*c_1010_4^6 - 238738210/370440439*c_1010_4^5 + 571734588/370440439*c_1010_4^4 + 1213758006/370440439*c_1010_4^3 + 886717266/370440439*c_1010_4^2 + 212569775/370440439*c_1010_4 + 190824801/370440439, c_0011_9 + 31644504/370440439*c_1010_4^9 - 140459878/370440439*c_1010_4^8 - 737796706/370440439*c_1010_4^7 - 512250000/370440439*c_1010_4^6 + 1323726693/370440439*c_1010_4^5 + 927488415/370440439*c_1010_4^4 + 498078250/370440439*c_1010_4^3 + 326383769/370440439*c_1010_4^2 + 128735362/370440439*c_1010_4 + 250113871/370440439, c_0101_0 - 52911281/370440439*c_1010_4^9 + 184490414/370440439*c_1010_4^8 + 1436676547/370440439*c_1010_4^7 + 2139726591/370440439*c_1010_4^6 - 964496886/370440439*c_1010_4^5 - 3873569459/370440439*c_1010_4^4 - 4331972735/370440439*c_1010_4^3 - 2261672092/370440439*c_1010_4^2 - 230162533/370440439*c_1010_4 - 242442110/370440439, c_0101_1 + 70441475/370440439*c_1010_4^9 - 280082924/370440439*c_1010_4^8 - 1783699598/370440439*c_1010_4^7 - 1935923854/370440439*c_1010_4^6 + 2383110399/370440439*c_1010_4^5 + 4084967362/370440439*c_1010_4^4 + 3836240895/370440439*c_1010_4^3 + 2337745808/370440439*c_1010_4^2 + 458374796/370440439*c_1010_4 + 375814060/370440439, c_0110_4 + 4583015/370440439*c_1010_4^9 - 9428258/370440439*c_1010_4^8 - 146660602/370440439*c_1010_4^7 - 368969266/370440439*c_1010_4^6 - 173020828/370440439*c_1010_4^5 + 480479844/370440439*c_1010_4^4 + 659340356/370440439*c_1010_4^3 + 230497679/370440439*c_1010_4^2 + 109635959/370440439*c_1010_4 + 234857930/370440439, c_1001_0 + 151039289/370440439*c_1010_4^9 - 594049024/370440439*c_1010_4^8 - 3835458916/370440439*c_1010_4^7 - 4386153871/370440439*c_1010_4^6 + 4646127791/370440439*c_1010_4^5 + 8653310831/370440439*c_1010_4^4 + 8266349811/370440439*c_1010_4^3 + 3949911209/370440439*c_1010_4^2 + 927832639/370440439*c_1010_4 + 1324090744/370440439, c_1001_2 + 162465132/370440439*c_1010_4^9 - 647814736/370440439*c_1010_4^8 - 4087422814/370440439*c_1010_4^7 - 4512809995/370440439*c_1010_4^6 + 5163603570/370440439*c_1010_4^5 + 9192202418/370440439*c_1010_4^4 + 9036424336/370440439*c_1010_4^3 + 4313131905/370440439*c_1010_4^2 + 1047597107/370440439*c_1010_4 + 1618500541/370440439, c_1010_4^10 - 3*c_1010_4^9 - 29*c_1010_4^8 - 53*c_1010_4^7 + 2*c_1010_4^6 + 85*c_1010_4^5 + 113*c_1010_4^4 + 84*c_1010_4^3 + 35*c_1010_4^2 + 17*c_1010_4 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.310 seconds, Total memory usage: 32.09MB