Magma V2.19-8 Wed Aug 21 2013 01:03:00 on localhost [Seed = 1528644430] Type ? for help. Type -D to quit. Loading file "L14n17268__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17268 geometric_solution 11.94287245 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 0 -1 0 1 1 0 -1 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 0.979173391278 1.342912372232 0 5 4 6 0132 0132 0213 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 1 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 -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 0.455224426891 0.584886521871 7 0 5 8 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -2 0 2 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 -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 0.244290558395 0.651671074547 9 4 10 0 0132 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145891762937 0.563128395264 9 1 0 3 3012 0213 0132 2031 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 1 -1 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 0.493875490711 0.555079918404 11 1 7 2 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 1 -2 1 -1 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 -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 0.061062760342 0.687987899025 9 12 1 10 2103 0132 0132 3201 1 1 1 1 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 -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 0.682184425951 1.302107914518 2 11 12 5 0132 0132 3120 0132 1 0 1 1 0 0 0 0 2 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 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 1.040012275442 0.987783828304 11 10 2 12 3120 1230 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.212581110960 2.471703159838 3 10 6 4 0132 1023 2103 1230 1 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224692578212 0.713368728060 9 6 8 3 1023 2310 3012 0132 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.020524990871 1.212372987878 5 7 12 8 0132 0132 0132 3120 1 0 1 1 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 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 0.656914523496 0.977159026962 8 6 7 11 3120 0132 3120 0132 1 0 1 1 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 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 0.336647395236 1.576601864510 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0110_4'], 's_3_11' : d['1'], 's_3_10' : 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' : negation(d['c_0011_12']), '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_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' : 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' : d['c_0110_4'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0101_12']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_1001_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_1001_1'], '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_1001_11'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0011_12']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), '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' : 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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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' : d['c_0101_11'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_4'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(d['c_0110_4'])})} 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_12, c_0011_4, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_0101_7, c_0110_4, c_1001_0, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 56981742556652/27696698225*c_1001_11^9 + 206551293119712/27696698225*c_1001_11^8 - 608071681990046/5539339645*c_1001_11^7 + 10144439751018981/27696698225*c_1001_11^6 - 16749089553766792/27696698225*c_1001_11^5 + 3392558614838453/5539339645*c_1001_11^4 - 13003963713896927/27696698225*c_1001_11^3 + 8602000634215101/27696698225*c_1001_11^2 - 4201557018682707/27696698225*c_1001_11 + 1063529228552818/27696698225, c_0011_0 - 1, c_0011_10 - 14877/52879*c_1001_11^9 - 106338/52879*c_1001_11^8 + 488520/52879*c_1001_11^7 - 485734/52879*c_1001_11^6 + 35649/52879*c_1001_11^5 - 27848/52879*c_1001_11^4 - 7202/52879*c_1001_11^3 + 173012/52879*c_1001_11^2 - 42553/52879*c_1001_11 - 16168/52879, c_0011_12 - 256252/52879*c_1001_11^9 - 1397626/52879*c_1001_11^8 + 11310452/52879*c_1001_11^7 - 23940166/52879*c_1001_11^6 + 22623096/52879*c_1001_11^5 - 13464868/52879*c_1001_11^4 + 8376262/52879*c_1001_11^3 - 2983971/52879*c_1001_11^2 - 1017572/52879*c_1001_11 + 1407799/52879, c_0011_4 - 16484/52879*c_1001_11^9 - 102896/52879*c_1001_11^8 + 645448/52879*c_1001_11^7 - 1041383/52879*c_1001_11^6 + 648456/52879*c_1001_11^5 - 311509/52879*c_1001_11^4 + 243772/52879*c_1001_11^3 - 6202/52879*c_1001_11^2 - 62988/52879*c_1001_11 - 4461/52879, c_0011_8 + 310144/52879*c_1001_11^9 + 1689170/52879*c_1001_11^8 - 13689522/52879*c_1001_11^7 + 29176126/52879*c_1001_11^6 - 27955106/52879*c_1001_11^5 + 16948468/52879*c_1001_11^4 - 10834622/52879*c_1001_11^3 + 4224314/52879*c_1001_11^2 + 1036212/52879*c_1001_11 - 1446735/52879, c_0101_0 + 35168/52879*c_1001_11^9 + 198250/52879*c_1001_11^8 - 1515505/52879*c_1001_11^7 + 3024830/52879*c_1001_11^6 - 2470960/52879*c_1001_11^5 + 941396/52879*c_1001_11^4 - 380984/52879*c_1001_11^3 - 47744/52879*c_1001_11^2 + 465566/52879*c_1001_11 - 297594/52879, c_0101_11 - 1, c_0101_12 + 138450/52879*c_1001_11^9 + 748796/52879*c_1001_11^8 - 6137104/52879*c_1001_11^7 + 13271456/52879*c_1001_11^6 - 13093354/52879*c_1001_11^5 + 8193614/52879*c_1001_11^4 - 5100424/52879*c_1001_11^3 + 2031467/52879*c_1001_11^2 + 308349/52879*c_1001_11 - 724273/52879, c_0101_7 - 310144/52879*c_1001_11^9 - 1689170/52879*c_1001_11^8 + 13689522/52879*c_1001_11^7 - 29176126/52879*c_1001_11^6 + 27955106/52879*c_1001_11^5 - 16948468/52879*c_1001_11^4 + 10834622/52879*c_1001_11^3 - 4224314/52879*c_1001_11^2 - 983333/52879*c_1001_11 + 1446735/52879, c_0110_4 - 150390/52879*c_1001_11^9 - 821313/52879*c_1001_11^8 + 6631676/52879*c_1001_11^7 - 13999183/52879*c_1001_11^6 + 13228395/52879*c_1001_11^5 - 8112115/52879*c_1001_11^4 + 5267207/52879*c_1001_11^3 - 1884816/52879*c_1001_11^2 - 444847/52879*c_1001_11 + 687038/52879, c_1001_0 + 56546/52879*c_1001_11^9 + 313500/52879*c_1001_11^8 - 2466540/52879*c_1001_11^7 + 5063340/52879*c_1001_11^6 - 4603182/52879*c_1001_11^5 + 2766162/52879*c_1001_11^4 - 1867359/52879*c_1001_11^3 + 630532/52879*c_1001_11^2 + 213428/52879*c_1001_11 - 191998/52879, c_1001_1 - 138450/52879*c_1001_11^9 - 748796/52879*c_1001_11^8 + 6137104/52879*c_1001_11^7 - 13271456/52879*c_1001_11^6 + 13093354/52879*c_1001_11^5 - 8193614/52879*c_1001_11^4 + 5100424/52879*c_1001_11^3 - 2031467/52879*c_1001_11^2 - 361228/52879*c_1001_11 + 724273/52879, c_1001_11^10 + 4*c_1001_11^9 - 52*c_1001_11^8 + 158*c_1001_11^7 - 227*c_1001_11^6 + 187*c_1001_11^5 - 116*c_1001_11^4 + 65*c_1001_11^3 - 17*c_1001_11^2 - 9*c_1001_11 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB