Magma V2.19-8 Tue Aug 20 2013 23:47:39 on localhost [Seed = 3448481695] Type ? for help. Type -D to quit. Loading file "L11a383__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a383 geometric_solution 11.47673817 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 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 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756945055271 0.961435933863 0 4 5 4 0132 0132 0132 1230 1 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 0 0 0 0 1 -1 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 0.247149027417 0.977630618636 0 0 7 6 2031 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494468388513 0.642102426857 5 5 0 8 0321 0213 0132 0132 1 1 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 -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 0.756945055271 0.961435933863 1 1 9 8 3012 0132 0132 2031 1 1 1 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 0 0 0 0 -1 1 0 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 0.494468388513 0.642102426857 3 7 3 1 0321 0132 0213 0132 1 1 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 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 0.494468388513 0.642102426857 9 9 2 10 1302 3012 0132 0132 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 0 0 0 0 0 1 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955727921454 1.110819552594 11 5 10 2 0132 0132 2031 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858001654162 0.818769104915 10 4 3 11 0321 1302 0132 1302 1 1 1 1 0 -1 1 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 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 0.389995488336 0.582111754198 6 6 11 4 1230 2031 3012 0132 1 1 0 1 0 0 1 -1 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 0 1 -1 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955727921454 1.110819552594 8 11 6 7 0321 2310 0132 1302 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 -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 0.449260532987 0.477890192129 7 9 8 10 0132 1230 2031 3201 1 1 1 1 0 1 0 -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 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 1.035822308905 0.898808514483 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0110_4'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], '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' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_0101_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : negation(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' : 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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_7'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_11']})} 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_6, c_0011_8, c_0011_9, c_0101_11, c_0101_7, c_0101_9, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 835794491/2830*c_1001_2^6 + 955127827/2830*c_1001_2^5 + 307043559/566*c_1001_2^4 - 879633671/566*c_1001_2^3 - 3029196834/1415*c_1001_2^2 + 11730336741/2830*c_1001_2 - 5853806131/2830, c_0011_0 - 1, c_0011_10 - 1/566*c_1001_2^6 - 46/283*c_1001_2^5 - 32/283*c_1001_2^4 + 269/566*c_1001_2^3 + 105/566*c_1001_2^2 - 488/283*c_1001_2 - 213/566, c_0011_11 + 7/566*c_1001_2^6 + 39/283*c_1001_2^5 - 59/283*c_1001_2^4 - 185/566*c_1001_2^3 + 397/566*c_1001_2^2 + 303/283*c_1001_2 - 207/566, c_0011_3 + 1, c_0011_6 - 85/566*c_1001_2^6 + 52/283*c_1001_2^5 + 110/283*c_1001_2^4 - 341/566*c_1001_2^3 - 697/566*c_1001_2^2 + 687/283*c_1001_2 + 7/566, c_0011_8 + 85/566*c_1001_2^6 - 52/283*c_1001_2^5 - 110/283*c_1001_2^4 + 341/566*c_1001_2^3 + 697/566*c_1001_2^2 - 404/283*c_1001_2 - 7/566, c_0011_9 + 85/566*c_1001_2^6 - 52/283*c_1001_2^5 - 110/283*c_1001_2^4 + 341/566*c_1001_2^3 + 697/566*c_1001_2^2 - 687/283*c_1001_2 - 7/566, c_0101_11 - 85/566*c_1001_2^6 + 52/283*c_1001_2^5 + 110/283*c_1001_2^4 - 341/566*c_1001_2^3 - 697/566*c_1001_2^2 + 404/283*c_1001_2 + 7/566, c_0101_7 + 1/566*c_1001_2^6 + 46/283*c_1001_2^5 + 32/283*c_1001_2^4 - 269/566*c_1001_2^3 - 105/566*c_1001_2^2 + 488/283*c_1001_2 + 213/566, c_0101_9 - 4/283*c_1001_2^6 - 85/283*c_1001_2^5 + 27/283*c_1001_2^4 + 227/283*c_1001_2^3 - 146/283*c_1001_2^2 - 791/283*c_1001_2 - 3/283, c_0110_4 + c_1001_2, c_1001_2^7 - c_1001_2^6 - 2*c_1001_2^5 + 5*c_1001_2^4 + 8*c_1001_2^3 - 13*c_1001_2^2 + 5*c_1001_2 + 1 ], 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_6, c_0011_8, c_0011_9, c_0101_11, c_0101_7, c_0101_9, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1763090879410737/1185136957*c_1001_2^9 - 10830221516773833/1185136957*c_1001_2^8 + 29735722707385283/1185136957*c_1001_2^7 - 49292142186115601/1185136957*c_1001_2^6 + 62410535546071948/1185136957*c_1001_2^5 - 51536195545281862/1185136957*c_1001_2^4 + 27241498150734821/1185136957*c_1001_2^3 - 4465761967956858/1185136957*c_1001_2^2 - 6505648035737179/1185136957*c_1001_2 + 5807025651545284/1185136957, c_0011_0 - 1, c_0011_10 - 1381386249/1185136957*c_1001_2^9 + 7987432020/1185136957*c_1001_2^8 - 21123183020/1185136957*c_1001_2^7 + 34090235047/1185136957*c_1001_2^6 - 41359983503/1185136957*c_1001_2^5 + 28493969233/1185136957*c_1001_2^4 - 15644312407/1185136957*c_1001_2^3 - 301676373/1185136957*c_1001_2^2 + 2527715197/1185136957*c_1001_2 - 368096372/1185136957, c_0011_11 - 327960837/1185136957*c_1001_2^9 + 1566457089/1185136957*c_1001_2^8 - 3443399633/1185136957*c_1001_2^7 + 5873076099/1185136957*c_1001_2^6 - 10333091934/1185136957*c_1001_2^5 + 9369938816/1185136957*c_1001_2^4 - 6813256031/1185136957*c_1001_2^3 + 3395851428/1185136957*c_1001_2^2 + 2077825423/1185136957*c_1001_2 - 719634718/1185136957, c_0011_3 + 1, c_0011_6 - 413156070/1185136957*c_1001_2^9 + 1810466574/1185136957*c_1001_2^8 - 2574858551/1185136957*c_1001_2^7 - 36013769/1185136957*c_1001_2^6 + 2412652311/1185136957*c_1001_2^5 - 5234215449/1185136957*c_1001_2^4 + 3314689428/1185136957*c_1001_2^3 - 1719395896/1185136957*c_1001_2^2 - 1619690769/1185136957*c_1001_2 - 461336228/1185136957, c_0011_8 - 632315601/1185136957*c_1001_2^9 + 4534034664/1185136957*c_1001_2^8 - 14275553119/1185136957*c_1001_2^7 + 26584268413/1185136957*c_1001_2^6 - 34792913944/1185136957*c_1001_2^5 + 30827760023/1185136957*c_1001_2^4 - 15323354445/1185136957*c_1001_2^3 + 5014987384/1185136957*c_1001_2^2 + 3850254227/1185136957*c_1001_2 - 48011366/1185136957, c_0011_9 + 534843459/1185136957*c_1001_2^9 - 3848165712/1185136957*c_1001_2^8 + 12338061264/1185136957*c_1001_2^7 - 23034111238/1185136957*c_1001_2^6 + 29032607992/1185136957*c_1001_2^5 - 24207779680/1185136957*c_1001_2^4 + 12270668447/1185136957*c_1001_2^3 - 1254206158/1185136957*c_1001_2^2 - 3370093180/1185136957*c_1001_2 + 472907501/1185136957, c_0101_11 - 534843459/1185136957*c_1001_2^9 + 3848165712/1185136957*c_1001_2^8 - 12338061264/1185136957*c_1001_2^7 + 23034111238/1185136957*c_1001_2^6 - 29032607992/1185136957*c_1001_2^5 + 24207779680/1185136957*c_1001_2^4 - 12270668447/1185136957*c_1001_2^3 + 1254206158/1185136957*c_1001_2^2 + 2184956223/1185136957*c_1001_2 - 472907501/1185136957, c_0101_7 - 636372/9046847*c_1001_2^9 + 6897387/9046847*c_1001_2^8 - 32596783/9046847*c_1001_2^7 + 85562686/9046847*c_1001_2^6 - 134498315/9046847*c_1001_2^5 + 133687687/9046847*c_1001_2^4 - 86696626/9046847*c_1001_2^3 + 26582183/9046847*c_1001_2^2 + 18851090/9046847*c_1001_2 - 344806/9046847, c_0101_9 + 812991177/1185136957*c_1001_2^9 - 4325165706/1185136957*c_1001_2^8 + 10148202040/1185136957*c_1001_2^7 - 14377299640/1185136957*c_1001_2^6 + 17036898086/1185136957*c_1001_2^5 - 10175410526/1185136957*c_1001_2^4 + 5550155216/1185136957*c_1001_2^3 + 194045459/1185136957*c_1001_2^2 - 1068023915/1185136957*c_1001_2 + 521280752/1185136957, c_0110_4 - 1045471671/1185136957*c_1001_2^9 + 6344501238/1185136957*c_1001_2^8 - 16850411670/1185136957*c_1001_2^7 + 26548254644/1185136957*c_1001_2^6 - 32380261633/1185136957*c_1001_2^5 + 25593544574/1185136957*c_1001_2^4 - 12008665017/1185136957*c_1001_2^3 + 3295591488/1185136957*c_1001_2^2 + 2230563458/1185136957*c_1001_2 - 509347594/1185136957, c_1001_2^10 - 19/3*c_1001_2^9 + 163/9*c_1001_2^8 - 95/3*c_1001_2^7 + 380/9*c_1001_2^6 - 349/9*c_1001_2^5 + 25*c_1001_2^4 - 86/9*c_1001_2^3 - 1/9*c_1001_2^2 + 7/3*c_1001_2 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB