Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 3532869360] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s382 geometric_solution 4.61096252 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 1 0 3201 0132 1023 2310 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 -1 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 1.132056650214 0.974736137571 2 0 0 3 0132 0132 1023 0132 0 0 0 0 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 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 0.378242776000 0.258834917862 1 4 3 3 0132 0132 1302 3201 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 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 0.321217546952 0.811485413072 2 2 1 4 2031 2310 0132 0132 0 0 0 0 0 -1 0 1 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 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 0.321217546952 0.811485413072 5 2 3 5 0132 0132 0132 3201 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102431876584 0.668748512615 4 4 5 5 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 1 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.656357541864 0.306414731411 ==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_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_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_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 191661336759/39902942338*c_0101_5^16 + 983077632489/39902942338*c_0101_5^15 + 2651255518001/39902942338*c_0101_5^14 - 6736098543512/19951471169*c_0101_5^13 - 5930709542934/19951471169*c_0101_5^12 + 9828983566189/5700420334*c_0101_5^11 + 26450581406559/39902942338*c_0101_5^10 - 79831954220492/19951471169*c_0101_5^9 - 18867814633390/19951471169*c_0101_5^8 + 171552840130953/39902942338*c_0101_5^7 + 25992383639759/39902942338*c_0101_5^6 - 41301012881788/19951471169*c_0101_5^5 + 1061868834129/39902942338*c_0101_5^4 + 17112940531787/39902942338*c_0101_5^3 - 7372956308559/39902942338*c_0101_5^2 - 2025012434659/39902942338*c_0101_5 + 581285124467/19951471169, c_0011_0 - 1, c_0011_3 + 187844176977/39902942338*c_0101_5^16 - 38220590151/19951471169*c_0101_5^15 - 1241628756842/19951471169*c_0101_5^14 + 1510552407289/39902942338*c_0101_5^13 + 6269393788970/19951471169*c_0101_5^12 - 1054534210277/5700420334*c_0101_5^11 - 14702462966930/19951471169*c_0101_5^10 + 14333211615469/39902942338*c_0101_5^9 + 16382004716099/19951471169*c_0101_5^8 - 13533398907627/39902942338*c_0101_5^7 - 8260784210227/19951471169*c_0101_5^6 + 6928243051935/39902942338*c_0101_5^5 + 2665236887419/39902942338*c_0101_5^4 - 1120578213122/19951471169*c_0101_5^3 + 191217870316/19951471169*c_0101_5^2 + 188888427862/19951471169*c_0101_5 - 56072959647/39902942338, c_0101_0 - 168896661867/39902942338*c_0101_5^16 + 87018129894/19951471169*c_0101_5^15 + 1124843614920/19951471169*c_0101_5^14 - 2767521662335/39902942338*c_0101_5^13 - 5589772588294/19951471169*c_0101_5^12 + 2005345211439/5700420334*c_0101_5^11 + 12918935242457/19951471169*c_0101_5^10 - 30946493104727/39902942338*c_0101_5^9 - 14346449443457/19951471169*c_0101_5^8 + 32710462319387/39902942338*c_0101_5^7 + 6735081128623/19951471169*c_0101_5^6 - 16734679375977/39902942338*c_0101_5^5 - 417516867087/39902942338*c_0101_5^4 + 2025952459810/19951471169*c_0101_5^3 - 667017358699/19951471169*c_0101_5^2 - 196624888199/19951471169*c_0101_5 + 161289582311/39902942338, c_0101_1 + 202476832263/39902942338*c_0101_5^16 - 90771468933/39902942338*c_0101_5^15 - 2726565678615/39902942338*c_0101_5^14 + 879395421439/19951471169*c_0101_5^13 + 7058420403305/19951471169*c_0101_5^12 - 1274460192095/5700420334*c_0101_5^11 - 34480621095063/39902942338*c_0101_5^10 + 9322215895836/19951471169*c_0101_5^9 + 20459236887043/19951471169*c_0101_5^8 - 19463955885673/39902942338*c_0101_5^7 - 22174930642001/39902942338*c_0101_5^6 + 5687234009152/19951471169*c_0101_5^5 + 3737933563087/39902942338*c_0101_5^4 - 3922906001815/39902942338*c_0101_5^3 + 634236320217/39902942338*c_0101_5^2 + 576978092347/39902942338*c_0101_5 - 60822060289/19951471169, c_0101_4 + 90771468933/39902942338*c_0101_5^16 - 20308847823/19951471169*c_0101_5^15 - 609426311755/19951471169*c_0101_5^14 + 798952503431/39902942338*c_0101_5^13 + 3144511262623/19951471169*c_0101_5^12 - 589280227107/5700420334*c_0101_5^11 - 7634908960311/19951471169*c_0101_5^10 + 8958319240033/39902942338*c_0101_5^9 + 9023309029916/19951471169*c_0101_5^8 - 9951393410395/39902942338*c_0101_5^7 - 5012311234942/19951471169*c_0101_5^6 + 5980954385537/39902942338*c_0101_5^5 + 1898137679185/39902942338*c_0101_5^4 - 958294795608/19951471169*c_0101_5^3 + 170162228232/19951471169*c_0101_5^2 + 128314337710/19951471169*c_0101_5 - 107395219759/39902942338, c_0101_5^17 - 41/3*c_0101_5^15 + 8/3*c_0101_5^14 + 221/3*c_0101_5^13 - 13*c_0101_5^12 - 572/3*c_0101_5^11 + 50/3*c_0101_5^10 + 739/3*c_0101_5^9 - 7*c_0101_5^8 - 476/3*c_0101_5^7 + 20/3*c_0101_5^6 + 48*c_0101_5^5 - 10*c_0101_5^4 - 19/3*c_0101_5^3 + 13/3*c_0101_5^2 + 2/3*c_0101_5 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB