Magma V2.19-8 Wed Aug 21 2013 01:01:23 on localhost [Seed = 964633332] Type ? for help. Type -D to quit. Loading file "L14n11098__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n11098 geometric_solution 12.27928047 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 0 0 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393550593899 0.616881820610 0 5 7 6 0132 0132 0132 0132 0 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295244387158 0.801280071993 8 0 9 7 0132 0132 0132 3012 1 0 1 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 0 0 0 0 0 0 0 -1 0 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 0.845399184587 0.662340306555 10 7 11 0 0132 3012 0132 0132 1 1 1 1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970544768524 1.163081014761 8 5 0 6 2310 1302 0132 2103 1 1 0 1 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 -1 1 0 -1 0 0 1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353280352912 0.899504407715 10 1 12 4 2103 0132 0132 2031 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 0 0 0 0 0 0 1 -1 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 0.221852077334 0.923506633339 12 11 1 4 0132 3012 0132 2103 0 1 1 1 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 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 0.613764820375 0.816554650817 3 8 2 1 1230 1302 1230 0132 0 1 1 1 0 0 -1 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 0 0 0 0 0 0 0 3 0 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.690798369174 1.324680613110 2 10 4 7 0132 2103 3201 2031 1 0 1 1 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 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 0.690798369174 1.324680613110 11 10 12 2 1302 1302 3012 0132 1 0 1 1 0 0 0 0 -1 0 0 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 0 0 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691246903033 1.068621425720 3 8 5 9 0132 2103 2103 2031 1 1 1 1 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 0 0 0 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444108035208 0.943033305845 6 9 12 3 1230 2031 3120 0132 1 1 1 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 0 0 0 0 0 0 0 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.930681164786 1.408272635794 6 9 11 5 0132 1230 3120 0132 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 0 0 0 0 0 0 0 -1 1 -1 0 0 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 0.325197620152 1.449573746860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_12'], 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : d['c_0011_0'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_4']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0110_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0011_7'], 's_3_1' : 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'], 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : 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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_7']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_2']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_7, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_7, c_0101_8, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 59171971081178319404/56951299906544875*c_0110_5^7 - 55318701102995543912/56951299906544875*c_0110_5^6 - 157371884457306962532/56951299906544875*c_0110_5^5 - 237387611854944898116/56951299906544875*c_0110_5^4 - 258110360585250277196/56951299906544875*c_0110_5^3 - 259180817078803901836/56951299906544875*c_0110_5^2 - 146226615539722783888/56951299906544875*c_0110_5 - 3988949583608335904/11390259981308975, c_0011_0 - 1, c_0011_10 + 13673862524/1419629195*c_0110_5^7 + 14184509672/1419629195*c_0110_5^6 + 39067445752/1419629195*c_0110_5^5 + 59234963846/1419629195*c_0110_5^4 + 68261634096/1419629195*c_0110_5^3 + 69949369266/1419629195*c_0110_5^2 + 42309785098/1419629195*c_0110_5 + 2046373422/283925839, c_0011_11 + 7880105451/1419629195*c_0110_5^7 + 9543120638/1419629195*c_0110_5^6 + 45352916651/2839258390*c_0110_5^5 + 74228155463/2839258390*c_0110_5^4 + 85483896483/2839258390*c_0110_5^3 + 42886295159/1419629195*c_0110_5^2 + 56083341169/2839258390*c_0110_5 + 1570885860/283925839, c_0011_12 - 6836931262/1419629195*c_0110_5^7 - 7092254836/1419629195*c_0110_5^6 - 19533722876/1419629195*c_0110_5^5 - 29617481923/1419629195*c_0110_5^4 - 34130817048/1419629195*c_0110_5^3 - 34974684633/1419629195*c_0110_5^2 - 22574521744/1419629195*c_0110_5 - 1307112550/283925839, c_0011_4 - 1, c_0011_7 - 8015458444/1419629195*c_0110_5^7 - 11466627177/1419629195*c_0110_5^6 - 23948705192/1419629195*c_0110_5^5 - 41824030771/1419629195*c_0110_5^4 - 47732465136/1419629195*c_0110_5^3 - 49153400851/1419629195*c_0110_5^2 - 33152433658/1419629195*c_0110_5 - 1916590382/283925839, c_0101_0 + 4645685146/1419629195*c_0110_5^7 + 7365643893/1419629195*c_0110_5^6 + 14761195138/1419629195*c_0110_5^5 + 25877480374/1419629195*c_0110_5^4 + 30595707994/1419629195*c_0110_5^3 + 32140462109/1419629195*c_0110_5^2 + 21611160272/1419629195*c_0110_5 + 1375883672/283925839, c_0101_11 - 132401466/1419629195*c_0110_5^7 - 2154780581/2839258390*c_0110_5^6 - 2374053991/2839258390*c_0110_5^5 - 6045750263/2839258390*c_0110_5^4 - 3625933209/1419629195*c_0110_5^3 - 10042789073/2839258390*c_0110_5^2 - 3908490812/1419629195*c_0110_5 - 311004557/283925839, c_0101_12 + 507206693/1419629195*c_0110_5^7 + 4083528074/1419629195*c_0110_5^6 + 3272190114/1419629195*c_0110_5^5 + 11044167632/1419629195*c_0110_5^4 + 12113385657/1419629195*c_0110_5^3 + 13300089412/1419629195*c_0110_5^2 + 10579591926/1419629195*c_0110_5 + 858429860/283925839, c_0101_2 - 8516762083/2839258390*c_0110_5^7 - 6928961377/1419629195*c_0110_5^6 - 13525227782/1419629195*c_0110_5^5 - 49494042587/2839258390*c_0110_5^4 - 28558341711/1419629195*c_0110_5^3 - 29981033976/1419629195*c_0110_5^2 - 41327481061/2839258390*c_0110_5 - 2421694473/567851678, c_0101_7 - 679576854/1419629195*c_0110_5^7 - 1638071522/1419629195*c_0110_5^6 - 4113677782/1419629195*c_0110_5^5 - 5445596996/1419629195*c_0110_5^4 - 9437644006/1419629195*c_0110_5^3 - 8412214976/1419629195*c_0110_5^2 - 7348428938/1419629195*c_0110_5 - 640313913/283925839, c_0101_8 + 294446/177787*c_0110_5^7 + 883721/177787*c_0110_5^6 + 1084474/177787*c_0110_5^5 + 2634808/177787*c_0110_5^4 + 3065013/177787*c_0110_5^3 + 3239325/177787*c_0110_5^2 + 2526100/177787*c_0110_5 + 897609/177787, c_0110_5^8 + 66/37*c_0110_5^7 + 136/37*c_0110_5^6 + 238/37*c_0110_5^5 + 308/37*c_0110_5^4 + 328/37*c_0110_5^3 + 7*c_0110_5^2 + 120/37*c_0110_5 + 25/37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB