Magma V2.19-8 Tue Aug 20 2013 23:55:27 on localhost [Seed = 2210786271] Type ? for help. Type -D to quit. Loading file "L14a21818__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a21818 geometric_solution 11.17417076 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 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 1 0 -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 0.499929210182 1.199391493832 0 0 5 4 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 -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 0.296143317652 0.710282990686 6 0 3 6 0132 0132 3201 2031 1 1 0 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 -2 1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218956144850 1.351468534711 2 7 0 8 2310 0132 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 -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 -0.306429646140 0.698730176913 9 9 1 8 0132 1302 0132 3201 1 1 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 1 -1 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 0.238454168305 0.947977636558 7 8 10 1 3201 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485883388399 0.867398974693 2 2 9 7 0132 1302 3012 3120 1 1 1 0 0 0 -1 1 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 1 -1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883186569426 0.721010483447 6 3 11 5 3120 0132 0132 2310 1 1 1 1 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064279689583 0.696282418050 10 4 3 5 0132 2310 0132 2031 1 1 1 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 0.479394874752 0.618707976603 4 6 11 4 0132 1230 3120 2031 1 1 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515040443495 0.641125986167 8 10 10 5 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.368824346977 0.954832828004 11 11 9 7 1230 3012 3120 0132 1 1 1 1 0 -1 0 1 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 1 0 -1 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 0.389167389893 0.643047834385 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0101_10'], 's_3_11' : 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_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' : 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' : 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_0011_10'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_1']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : negation(d['c_1001_1']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_0011_11'], 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : negation(d['c_0101_2']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 19752719766485458333945/119747248586489403*c_1001_1^23 - 595638326811116890589848/119747248586489403*c_1001_1^22 - 8483654039023796582853632/119747248586489403*c_1001_1^21 - 1492848229626534044676421/2347985266401753*c_1001_1^20 - 484680171912679357045303535/119747248586489403*c_1001_1^19 - 2336369335176837349414456856/119747248586489403*c_1001_1^18 - 522817273221304484872670282/7043955799205259*c_1001_1^17 - 27446070013150158455308837354/119747248586489403*c_1001_1^16 - 23395683882512859144243011536/39915749528829801*c_1001_1^15 - 50256937984651600380106960660/39915749528829801*c_1001_1^14 - 91595009442246961730605542556/39915749528829801*c_1001_1^13 - 427698824926226442940285098188/119747248586489403*c_1001_1^12 - 570623237272618233734293441972/119747248586489403*c_1001_1^11 - 217749459513957896093347626455/39915749528829801*c_1001_1^10 - 9285325613482677766676483545/1735467370818687*c_1001_1^9 - 16242451556602662932126489008/3628704502620891*c_1001_1^8 - 379613710917013464522403383983/119747248586489403*c_1001_1^7 - 24995554646892327748279140866/13305249842943267*c_1001_1^6 - 109637171755228161553187327288/119747248586489403*c_1001_1^5 - 4759464554597765071316875903/13305249842943267*c_1001_1^4 - 12902219789330330897835555265/119747248586489403*c_1001_1^3 - 2810537572457197296744369830/119747248586489403*c_1001_1^2 - 131014317069670641730778507/39915749528829801*c_1001_1 - 26298821089072275774897410/119747248586489403, c_0011_0 - 1, c_0011_10 - c_1001_1^2 - 2*c_1001_1 - 1, c_0011_11 + c_1001_1^18 + 22*c_1001_1^17 + 225*c_1001_1^16 + 1430*c_1001_1^15 + 6372*c_1001_1^14 + 21280*c_1001_1^13 + 55511*c_1001_1^12 + 116146*c_1001_1^11 + 198189*c_1001_1^10 + 278446*c_1001_1^9 + 323311*c_1001_1^8 + 309786*c_1001_1^7 + 243240*c_1001_1^6 + 154408*c_1001_1^5 + 77490*c_1001_1^4 + 29652*c_1001_1^3 + 8141*c_1001_1^2 + 1430*c_1001_1 + 121, c_0011_3 - c_1001_1^9 - 12*c_1001_1^8 - 62*c_1001_1^7 - 186*c_1001_1^6 - 369*c_1001_1^5 - 512*c_1001_1^4 - 498*c_1001_1^3 - 330*c_1001_1^2 - 135*c_1001_1 - 26, c_0011_4 - c_1001_1^9 - 11*c_1001_1^8 - 52*c_1001_1^7 - 143*c_1001_1^6 - 261*c_1001_1^5 - 333*c_1001_1^4 - 296*c_1001_1^3 - 178*c_1001_1^2 - 65*c_1001_1 - 11, c_0011_5 + c_1001_1^7 + 8*c_1001_1^6 + 26*c_1001_1^5 + 48*c_1001_1^4 + 58*c_1001_1^3 + 44*c_1001_1^2 + 20*c_1001_1 + 4, c_0101_0 - c_1001_1 - 1, c_0101_1 - 1, c_0101_10 + c_1001_1^5 + 6*c_1001_1^4 + 14*c_1001_1^3 + 18*c_1001_1^2 + 13*c_1001_1 + 4, c_0101_11 - c_1001_1^10 - 12*c_1001_1^9 - 63*c_1001_1^8 - 196*c_1001_1^7 - 412*c_1001_1^6 - 620*c_1001_1^5 - 677*c_1001_1^4 - 532*c_1001_1^3 - 287*c_1001_1^2 - 96*c_1001_1 - 15, c_0101_2 - c_1001_1^8 - 10*c_1001_1^7 - 43*c_1001_1^6 - 108*c_1001_1^5 - 179*c_1001_1^4 - 202*c_1001_1^3 - 152*c_1001_1^2 - 70*c_1001_1 - 15, c_1001_1^24 + 31*c_1001_1^23 + 455*c_1001_1^22 + 4218*c_1001_1^21 + 27803*c_1001_1^20 + 139088*c_1001_1^19 + 550348*c_1001_1^18 + 1771738*c_1001_1^17 + 4734831*c_1001_1^16 + 10657416*c_1001_1^15 + 20414820*c_1001_1^14 + 33517934*c_1001_1^13 + 47376274*c_1001_1^12 + 57764868*c_1001_1^11 + 60737496*c_1001_1^10 + 54927528*c_1001_1^9 + 42499466*c_1001_1^8 + 27900333*c_1001_1^7 + 15350021*c_1001_1^6 + 6952374*c_1001_1^5 + 2525617*c_1001_1^4 + 707420*c_1001_1^3 + 143286*c_1001_1^2 + 18632*c_1001_1 + 1161 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB