Magma V2.19-8 Tue Aug 20 2013 23:51:14 on localhost [Seed = 121728024] Type ? for help. Type -D to quit. Loading file "L13n10332__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10332 geometric_solution 10.92102103 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 0 2 0 0 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -6 5 0 0 0 0 1 -4 0 3 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285839279772 1.087568676870 0 5 6 3 0132 0132 0132 1302 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.773952485238 0.860071424527 7 0 8 6 0132 0132 0132 1302 2 2 2 0 0 0 0 0 1 0 -1 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 -1 1 0 -6 0 6 0 0 6 0 -6 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.032528547679 1.266631901498 3 3 1 0 1302 2031 2031 0132 2 2 2 2 0 1 0 -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 -6 0 6 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415942064249 0.263899152006 9 9 0 5 0132 1230 0132 3012 2 2 1 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 -3 0 3 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032528547679 1.266631901498 10 1 4 10 0132 0132 1230 2103 2 1 0 2 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 2 0 -3 1 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380840687241 0.498603822046 11 8 2 1 0132 1230 2031 0132 2 2 0 2 0 1 -1 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 -6 6 0 0 0 0 0 0 1 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.020261775435 0.788975007411 2 10 11 8 0132 0132 0132 2031 0 2 0 2 0 0 0 0 -1 0 0 1 -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 0 0 0 6 0 0 -6 4 0 0 -4 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194295831509 1.178892827046 11 7 6 2 1230 1302 3012 0132 2 2 0 0 0 -1 1 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 6 -5 -1 0 0 6 -6 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399987268679 1.205413912663 4 10 4 11 0132 3201 3012 0132 0 2 0 1 0 0 1 -1 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 -3 3 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 0.979738224565 0.788975007411 5 7 9 5 0132 0132 2310 2103 0 1 2 0 0 0 0 0 1 0 -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 -2 0 3 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380840687241 0.498603822046 6 8 9 7 0132 3012 0132 0132 0 2 2 0 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 3 -3 0 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863894570537 0.825821703275 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_0011_8'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : negation(d['c_0101_8']), '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_1'], 'c_0101_10' : d['c_0011_4'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_2']), 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_2']), 'c_1100_10' : negation(d['c_0011_4']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_1001_2'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_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_11']), '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_6'], 'c_0110_10' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_11'], '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_0011_4'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1']})} 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_11, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_6, c_0101_8, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5928206569879/151444064120*c_1001_5^7 + 16271766097671/151444064120*c_1001_5^6 + 11198382912569/121155251296*c_1001_5^5 - 3063366777941/35633897440*c_1001_5^4 - 850246474375/60577625648*c_1001_5^3 + 60815274616827/605776256480*c_1001_5^2 + 22161804949271/302888128240*c_1001_5 - 312867863539/7572203206, c_0011_0 - 1, c_0011_11 - 152948455/222711859*c_1001_5^7 - 337141265/222711859*c_1001_5^6 - 825164501/890847436*c_1001_5^5 + 1867571751/890847436*c_1001_5^4 + 958363/222711859*c_1001_5^3 - 516653603/890847436*c_1001_5^2 - 284558327/222711859*c_1001_5 + 245110706/222711859, c_0011_3 - 686535487/3786101603*c_1001_5^7 - 868091257/3786101603*c_1001_5^6 + 3657612051/15144406412*c_1001_5^5 + 689643871/890847436*c_1001_5^4 - 3265962416/3786101603*c_1001_5^3 - 7126473679/15144406412*c_1001_5^2 + 2761881391/3786101603*c_1001_5 + 1897873127/3786101603, c_0011_4 - 1, c_0011_8 - 4192765742/3786101603*c_1001_5^7 - 8431554244/3786101603*c_1001_5^6 - 148622273/7572203206*c_1001_5^5 + 1186872118/222711859*c_1001_5^4 - 6194512915/7572203206*c_1001_5^3 - 36193788789/7572203206*c_1001_5^2 + 926365371/7572203206*c_1001_5 + 9309864385/3786101603, c_0101_0 - 1, c_0101_1 - 1, c_0101_5 + 20897877/3786101603*c_1001_5^7 - 279624209/3786101603*c_1001_5^6 - 3472821785/15144406412*c_1001_5^5 - 220193517/890847436*c_1001_5^4 + 124453186/3786101603*c_1001_5^3 - 5559128683/15144406412*c_1001_5^2 - 3003979571/3786101603*c_1001_5 + 604078732/3786101603, c_0101_6 - 32131715/222711859*c_1001_5^7 - 135470007/222711859*c_1001_5^6 - 615733737/890847436*c_1001_5^5 + 273641249/890847436*c_1001_5^4 + 312395613/445423718*c_1001_5^3 - 668892855/890847436*c_1001_5^2 - 75506449/445423718*c_1001_5 + 62005617/222711859, c_0101_8 + 686535487/3786101603*c_1001_5^7 + 868091257/3786101603*c_1001_5^6 - 3657612051/15144406412*c_1001_5^5 - 689643871/890847436*c_1001_5^4 + 3265962416/3786101603*c_1001_5^3 + 7126473679/15144406412*c_1001_5^2 + 1024220212/3786101603*c_1001_5 - 1897873127/3786101603, c_1001_2 - 686535487/3786101603*c_1001_5^7 - 868091257/3786101603*c_1001_5^6 + 3657612051/15144406412*c_1001_5^5 + 689643871/890847436*c_1001_5^4 - 3265962416/3786101603*c_1001_5^3 - 7126473679/15144406412*c_1001_5^2 - 1024220212/3786101603*c_1001_5 + 1897873127/3786101603, c_1001_5^8 + 17/11*c_1001_5^7 - 31/44*c_1001_5^6 - 191/44*c_1001_5^5 + 3*c_1001_5^4 + 119/44*c_1001_5^3 - 15/11*c_1001_5^2 - 30/11*c_1001_5 + 20/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB