Magma V2.19-8 Tue Aug 20 2013 23:56:00 on localhost [Seed = 3246893542] Type ? for help. Type -D to quit. Loading file "L14n13514__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13514 geometric_solution 10.33670135 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 1 1 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 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 0.736927035394 0.452433600269 0 4 3 5 0132 0132 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713953171732 0.341397213336 6 0 5 0 0132 0132 0213 1023 1 1 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 1 0 -1 0 0 1 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014484082128 0.605053815955 7 1 5 0 0132 1230 0132 0132 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 -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 -0.020394297935 0.897384696381 8 1 6 7 0132 0132 1023 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.295400379300 0.731827434495 7 2 1 3 2103 0213 0132 0132 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 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 0.351785431261 1.145221182525 2 9 4 8 0132 0132 1023 0132 1 1 0 0 0 0 0 0 0 0 0 0 1 -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 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572625837392 0.497950932579 3 4 5 10 0132 1302 2103 0132 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 0 -1 1 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 0.955020072539 1.236285598982 4 11 6 9 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363695491699 0.334802967347 11 6 10 8 0132 0132 3012 1023 1 1 0 0 0 0 0 0 0 0 0 0 1 -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 1 0 -1 0 1 -1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.050315670112 1.198648693046 11 9 7 11 3120 1230 0132 0132 1 1 0 1 0 0 0 0 1 0 0 -1 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 -1 0 2 0 1 -3 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.090165678657 0.575749099420 9 8 10 10 0132 0132 0132 3120 1 1 0 0 0 0 0 0 0 0 1 -1 1 0 0 -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 -1 0 3 -2 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734507660631 1.695290021340 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : 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_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : 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' : negation(d['c_1001_10']), 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_3']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : 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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : d['c_0011_0'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 107710154124415/2455819244032*c_1001_3^11 - 930459521676235/1227909622016*c_1001_3^10 + 11515413921436387/2455819244032*c_1001_3^9 - 2983924617558055/223256294912*c_1001_3^8 + 24638427874466827/2455819244032*c_1001_3^7 + 1836117956171381/1227909622016*c_1001_3^6 + 3671965478795179/223256294912*c_1001_3^5 - 6021943743440363/350831320576*c_1001_3^4 - 26465489033791751/2455819244032*c_1001_3^3 - 68781755989247893/2455819244032*c_1001_3^2 - 13915582370077323/2455819244032*c_1001_3 - 15271351015974833/2455819244032, c_0011_0 - 1, c_0011_10 - 72594931/274946176*c_1001_3^11 + 331926329/137473088*c_1001_3^10 - 2624301107/274946176*c_1001_3^9 + 3015985129/274946176*c_1001_3^8 - 56796651/274946176*c_1001_3^7 + 939971079/137473088*c_1001_3^6 - 4311581437/274946176*c_1001_3^5 - 1146260563/274946176*c_1001_3^4 - 4121125333/274946176*c_1001_3^3 + 960115789/274946176*c_1001_3^2 - 730678521/274946176*c_1001_3 + 167209409/274946176, c_0011_3 + 10032369/137473088*c_1001_3^11 - 46185271/68736544*c_1001_3^10 + 364722857/137473088*c_1001_3^9 - 402453379/137473088*c_1001_3^8 - 126736015/137473088*c_1001_3^7 - 7031165/68736544*c_1001_3^6 + 572049551/137473088*c_1001_3^5 + 131575017/137473088*c_1001_3^4 + 161105799/137473088*c_1001_3^3 + 8007705/137473088*c_1001_3^2 + 197482179/137473088*c_1001_3 + 141777549/137473088, c_0011_5 + 120575/137473088*c_1001_3^11 - 3329335/34368272*c_1001_3^10 + 123497949/137473088*c_1001_3^9 - 514026013/137473088*c_1001_3^8 + 769919789/137473088*c_1001_3^7 - 145254863/68736544*c_1001_3^6 + 272002173/137473088*c_1001_3^5 - 910712587/137473088*c_1001_3^4 + 266241377/137473088*c_1001_3^3 - 379692295/137473088*c_1001_3^2 + 273104977/137473088*c_1001_3 - 151689343/137473088, c_0101_0 - 1, c_0101_1 - 10032369/137473088*c_1001_3^11 + 46185271/68736544*c_1001_3^10 - 364722857/137473088*c_1001_3^9 + 402453379/137473088*c_1001_3^8 + 126736015/137473088*c_1001_3^7 + 7031165/68736544*c_1001_3^6 - 572049551/137473088*c_1001_3^5 - 131575017/137473088*c_1001_3^4 - 161105799/137473088*c_1001_3^3 - 8007705/137473088*c_1001_3^2 - 60009091/137473088*c_1001_3 - 141777549/137473088, c_0101_10 + 12232165/137473088*c_1001_3^11 - 1863716/2148017*c_1001_3^10 + 509444163/137473088*c_1001_3^9 - 769678639/137473088*c_1001_3^8 + 286048451/137473088*c_1001_3^7 - 132323549/68736544*c_1001_3^6 + 913124087/137473088*c_1001_3^5 - 258042277/137473088*c_1001_3^4 + 379209995/137473088*c_1001_3^3 - 271175777/137473088*c_1001_3^2 + 13733955/137473088*c_1001_3 + 120575/137473088, c_0101_11 + 35466795/274946176*c_1001_3^11 - 155713157/137473088*c_1001_3^10 + 1173033795/274946176*c_1001_3^9 - 1091524305/274946176*c_1001_3^8 - 162748165/274946176*c_1001_3^7 - 671246591/137473088*c_1001_3^6 + 1689894485/274946176*c_1001_3^5 + 1513094147/274946176*c_1001_3^4 + 2580547581/274946176*c_1001_3^3 + 189066451/274946176*c_1001_3^2 + 324334865/274946176*c_1001_3 - 45725233/274946176, c_0101_4 + 7190091/68736544*c_1001_3^11 - 70378997/68736544*c_1001_3^10 + 18940779/4296034*c_1001_3^9 - 473982025/68736544*c_1001_3^8 + 58578737/17184136*c_1001_3^7 - 131676293/34368272*c_1001_3^6 + 653105599/68736544*c_1001_3^5 - 76021131/17184136*c_1001_3^4 + 437700961/68736544*c_1001_3^3 - 193989943/34368272*c_1001_3^2 + 207706567/68736544*c_1001_3 - 8450281/8592068, c_0101_6 - 1, c_1001_10 - 1487515/68736544*c_1001_3^11 + 3758651/17184136*c_1001_3^10 - 64575193/68736544*c_1001_3^9 + 91504177/68736544*c_1001_3^8 + 32862655/68736544*c_1001_3^7 - 51074489/34368272*c_1001_3^6 - 43211881/68736544*c_1001_3^5 - 80301281/68736544*c_1001_3^4 + 193683115/68736544*c_1001_3^3 + 61404915/68736544*c_1001_3^2 - 14544669/68736544*c_1001_3 + 2113619/68736544, c_1001_3^12 - 9*c_1001_3^11 + 35*c_1001_3^10 - 38*c_1001_3^9 + 2*c_1001_3^8 - 37*c_1001_3^7 + 61*c_1001_3^6 + 20*c_1001_3^5 + 68*c_1001_3^4 - 4*c_1001_3^3 + 16*c_1001_3^2 - 4*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB