Magma V2.19-8 Tue Aug 20 2013 23:52:35 on localhost [Seed = 1798111414] Type ? for help. Type -D to quit. Loading file "L13n2990__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2990 geometric_solution 10.98477711 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 1 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 0.529638080856 0.616500771019 0 5 7 6 0132 0132 0132 0132 0 0 0 1 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 0 -1 1 -2 0 0 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332966695725 1.571164400124 8 0 10 9 0132 0132 0132 0132 1 0 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 0 0 0 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.896971760818 1.257182038686 5 4 11 0 2310 0321 0132 0132 1 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 1 -1 0 0 -1 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 1.281486848750 1.320517516678 8 9 0 3 3012 0132 0132 0321 1 0 0 1 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 0 1 -1 0 0 0 0 -8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552219760250 0.724873518558 8 1 3 7 1023 0132 3201 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129085658285 0.609114345272 7 11 1 10 1023 2031 0132 1302 0 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 0 0 0 0 0 1 -1 0 1 0 -2 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 0.975719175484 0.912419182469 5 6 8 1 3120 1023 3120 0132 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666483347862 0.785582200062 2 5 7 4 0132 1023 3120 1230 0 0 1 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 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190399170140 0.773593821319 10 4 2 11 0321 0132 0132 3201 1 0 1 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 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.260643621068 1.044249765610 9 11 6 2 0321 3201 2031 0132 1 0 1 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 -1 1 0 0 0 0 0 -8 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594253495079 0.897408828413 6 9 10 3 1302 2310 2310 0132 1 0 0 1 0 -1 1 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 -7 8 -1 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 0.281374699523 0.425575904008 ==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' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_1001_11']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_1001_11']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_1001_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0101_10'], '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_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_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_1001_11']), 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0011_3']), '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'], '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' : negation(d['c_0011_4']), '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_6'], 'c_0011_6' : d['c_0011_6'], '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_3'], 'c_0110_10' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0101_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_6'])})} 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_11, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 226324574284762112/10050839253*c_1001_11^7 + 222699463145150464/30152517759*c_1001_11^6 + 8771261560265536/2319424443*c_1001_11^5 + 323991338117209520/30152517759*c_1001_11^4 + 3905637369733432/1310979033*c_1001_11^3 + 8523712299056441/30152517759*c_1001_11^2 + 49955918212834843/120610071036*c_1001_11 + 6097615785646699/40203357012, c_0011_0 - 1, c_0011_10 - 8228864/96687*c_1001_11^7 + 2473984/96687*c_1001_11^6 - 2087680/96687*c_1001_11^5 - 3016384/96687*c_1001_11^4 + 1189568/96687*c_1001_11^3 - 354164/96687*c_1001_11^2 + 485/32229*c_1001_11 + 5704/10743, c_0011_11 + 716800/32229*c_1001_11^7 - 471040/32229*c_1001_11^6 + 92416/32229*c_1001_11^5 + 128576/10743*c_1001_11^4 - 247360/32229*c_1001_11^3 + 644/3581*c_1001_11^2 + 10289/10743*c_1001_11 - 422/3581, c_0011_3 + 2031616/32229*c_1001_11^7 - 77824/32229*c_1001_11^6 - 136192/32229*c_1001_11^5 + 145920/3581*c_1001_11^4 - 190336/32229*c_1001_11^3 - 105040/32229*c_1001_11^2 + 17060/3581*c_1001_11 - 3713/3581, c_0011_4 + 671744/10743*c_1001_11^7 - 905216/32229*c_1001_11^6 + 249344/32229*c_1001_11^5 + 607744/32229*c_1001_11^4 - 136864/10743*c_1001_11^3 + 59840/32229*c_1001_11^2 - 4796/10743*c_1001_11 - 593/3581, c_0011_6 + 671744/10743*c_1001_11^7 - 905216/32229*c_1001_11^6 + 249344/32229*c_1001_11^5 + 607744/32229*c_1001_11^4 - 136864/10743*c_1001_11^3 - 26104/32229*c_1001_11^2 + 2366/10743*c_1001_11 - 593/3581, c_0101_0 - 1, c_0101_1 - 6135808/96687*c_1001_11^7 - 1835008/96687*c_1001_11^6 + 455680/96687*c_1001_11^5 - 2953472/96687*c_1001_11^4 - 151520/96687*c_1001_11^3 + 354896/96687*c_1001_11^2 - 35648/32229*c_1001_11 + 1034/10743, c_0101_10 - 6062080/32229*c_1001_11^7 + 1888256/32229*c_1001_11^6 - 120832/10743*c_1001_11^5 - 2528768/32229*c_1001_11^4 + 1011520/32229*c_1001_11^3 + 17472/3581*c_1001_11^2 - 55912/10743*c_1001_11 + 4899/3581, c_0101_3 + 22171648/96687*c_1001_11^7 - 2416640/96687*c_1001_11^6 + 354560/96687*c_1001_11^5 + 9382592/96687*c_1001_11^4 - 2140960/96687*c_1001_11^3 - 844028/96687*c_1001_11^2 + 172517/32229*c_1001_11 - 14465/10743, c_1001_0 - 1703936/32229*c_1001_11^7 + 1957888/32229*c_1001_11^6 - 240640/32229*c_1001_11^5 - 495232/32229*c_1001_11^4 + 813920/32229*c_1001_11^3 - 98576/32229*c_1001_11^2 - 4374/3581*c_1001_11 + 2190/3581, c_1001_11^8 + 1/16*c_1001_11^6 + 27/64*c_1001_11^5 - 3/128*c_1001_11^4 - 31/1024*c_1001_11^3 + 59/4096*c_1001_11^2 + 3/4096*c_1001_11 - 9/4096 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB