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Loading file "K10a109__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a109 geometric_solution 11.53567393 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.378945073337 0.536245366551 0 0 4 3 0132 1302 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.121100228914 1.243731514324 5 0 5 3 0132 0132 3012 1302 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 1 0 -1 0 0 0 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399543077290 0.666650632289 6 1 2 0 0132 0321 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.901849871215 0.666075653593 7 7 5 1 0132 1230 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.378860059842 0.925453972414 2 2 4 8 0132 1230 3120 0132 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 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745935554079 0.828166667692 3 9 9 7 0132 0132 1302 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.661431935036 1.103620717694 4 10 4 6 0132 0132 3012 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.621139940158 0.925453972414 10 11 5 9 2031 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098150128785 0.666075653593 6 6 8 11 2031 0132 2031 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600456922710 0.666650632289 11 7 8 11 2310 0132 1302 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0.621054926663 0.536245366551 9 8 10 10 3201 0132 3201 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.077552124832 0.796480919331 ==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' : d['c_0110_8'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0110_8']), 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0011_10']), '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_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : 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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : negation(d['c_0110_8']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_4']), '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' : negation(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_3'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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_11'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0101_4']), 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_3']})} 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_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_4, c_0101_5, c_0110_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 1018190/4913*c_1001_0^31 + 909852/4913*c_1001_0^30 + 13938188/4913*c_1001_0^29 + 11750405/4913*c_1001_0^28 + 82679229/4913*c_1001_0^27 + 65650045/4913*c_1001_0^26 + 274257670/4913*c_1001_0^25 + 203416396/4913*c_1001_0^24 + 543241945/4913*c_1001_0^23 + 367614590/4913*c_1001_0^22 + 620388056/4913*c_1001_0^21 + 355553041/4913*c_1001_0^20 + 321465609/4913*c_1001_0^19 + 94820598/4913*c_1001_0^18 - 41977296/4913*c_1001_0^17 - 118493871/4913*c_1001_0^16 - 74931038/4913*c_1001_0^15 - 3111753/289*c_1001_0^14 + 59324692/4913*c_1001_0^13 + 58470110/4913*c_1001_0^12 + 57181610/4913*c_1001_0^11 + 22017867/4913*c_1001_0^10 - 3892517/4913*c_1001_0^9 - 15330717/4913*c_1001_0^8 - 8210846/4913*c_1001_0^7 - 1168735/4913*c_1001_0^6 + 2544194/4913*c_1001_0^5 + 522606/4913*c_1001_0^4 + 784250/4913*c_1001_0^3 + 1599621/4913*c_1001_0^2 + 938346/4913*c_1001_0 + 65572/4913, c_0011_0 - 1, c_0011_10 - c_1001_0^10 - 5*c_1001_0^8 - 8*c_1001_0^6 - 3*c_1001_0^4 + c_1001_0^2 - 1, c_0011_11 + c_1001_0^28 + 13*c_1001_0^26 + 73*c_1001_0^24 + 228*c_1001_0^22 + 422*c_1001_0^20 + 447*c_1001_0^18 + 221*c_1001_0^16 + 8*c_1001_0^14 + 10*c_1001_0^12 + 54*c_1001_0^10 + 18*c_1001_0^8 - 4*c_1001_0^6 - c_1001_0^2 + 1, c_0011_3 + c_1001_0^3 + 2*c_1001_0, c_0101_1 + c_1001_0^2 + 1, c_0101_11 + c_1001_0^17 + 8*c_1001_0^15 + 25*c_1001_0^13 + 36*c_1001_0^11 + 19*c_1001_0^9 - 4*c_1001_0^7 - 2*c_1001_0^5 + 4*c_1001_0^3 + c_1001_0, c_0101_2 + c_1001_0^6 + 3*c_1001_0^4 + 2*c_1001_0^2 - 1, c_0101_3 + c_1001_0^7 + 4*c_1001_0^5 + 4*c_1001_0^3, c_0101_4 - c_1001_0^13 - 6*c_1001_0^11 - 13*c_1001_0^9 - 10*c_1001_0^7 + 2*c_1001_0^5 + 4*c_1001_0^3 - c_1001_0, c_0101_5 - c_1001_0^5 - 2*c_1001_0^3 - c_1001_0, c_0110_8 - c_1001_0^21 - 10*c_1001_0^19 - 41*c_1001_0^17 - 86*c_1001_0^15 - 92*c_1001_0^13 - 40*c_1001_0^11 - 3*c_1001_0^9 - 10*c_1001_0^7 - 7*c_1001_0^5 + 2*c_1001_0^3 - c_1001_0, c_1001_0^32 + c_1001_0^31 + 15*c_1001_0^30 + 14*c_1001_0^29 + 99*c_1001_0^28 + 86*c_1001_0^27 + 374*c_1001_0^26 + 300*c_1001_0^25 + 877*c_1001_0^24 + 638*c_1001_0^23 + 1280*c_1001_0^22 + 808*c_1001_0^21 + 1064*c_1001_0^20 + 500*c_1001_0^19 + 324*c_1001_0^18 - 34*c_1001_0^17 - 143*c_1001_0^16 - 198*c_1001_0^15 - 26*c_1001_0^14 + 6*c_1001_0^13 + 138*c_1001_0^12 + 92*c_1001_0^11 + 62*c_1001_0^10 + 6*c_1001_0^9 - 16*c_1001_0^8 - 20*c_1001_0^7 - 6*c_1001_0^6 + 4*c_1001_0^4 + 2*c_1001_0^3 + 2*c_1001_0^2 + 2*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.710 Total time: 0.920 seconds, Total memory usage: 32.09MB