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Loading file "K10a116__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a116 geometric_solution 9.37044244 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 1 2 3 0132 3120 0132 0132 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 -6 5 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 1.751128654442 1.283395442542 0 0 4 3 0132 3120 0132 3201 0 0 0 0 0 0 0 0 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 0 0 0 0 -1 0 -5 6 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122637737512 1.011117867239 5 6 4 0 0132 0132 2103 0132 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 5 0 -5 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 0.692437825617 0.617988544808 5 1 0 5 1023 2310 0132 3012 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 -1 0 1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576881168690 0.691636425468 2 7 6 1 2103 0132 3201 0132 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 -5 5 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616844602268 1.889734872085 2 3 3 8 0132 1023 1230 0132 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 1 0 -1 0 0 0 0 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576881168690 0.691636425468 4 2 7 8 2310 0132 3120 2310 0 0 0 0 0 1 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 -5 0 5 0 0 6 -6 5 0 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298795541300 0.584063620712 9 4 6 9 0132 0132 3120 0213 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0 -1 1 0 0 -6 6 5 0 0 -5 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452975669258 0.720938767078 6 9 5 9 3201 0213 0132 0321 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 1 -1 5 0 0 -5 -5 5 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667926897749 0.880279664176 7 8 8 7 0132 0321 0213 0213 0 0 0 0 0 0 0 0 0 0 1 -1 -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 0 0 -5 5 6 0 0 -6 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452975669258 0.720938767078 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0110_3'], 'c_1001_8' : d['c_0110_3'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : 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_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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0110_3'], 'c_1100_5' : d['c_0110_3'], 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_0101_1']), 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_0101_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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_4'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], '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' : d['c_0011_8'], 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 21409712494/10736793*c_1001_0^20 + 407125813528/10736793*c_1001_0^19 + 83664344327/261873*c_1001_0^18 + 407257159243/261873*c_1001_0^17 + 17049533758963/3578931*c_1001_0^16 + 99932080445099/10736793*c_1001_0^15 + 2885407988072/261873*c_1001_0^14 + 23705164457072/3578931*c_1001_0^13 + 4222213944863/3578931*c_1001_0^12 + 16849185958732/10736793*c_1001_0^11 + 31859004093082/10736793*c_1001_0^10 - 2374316157715/3578931*c_1001_0^9 - 2542412304844/1192977*c_1001_0^8 + 3518922844999/3578931*c_1001_0^7 + 5742800913191/10736793*c_1001_0^6 - 3770460598387/3578931*c_1001_0^5 + 3772917841108/10736793*c_1001_0^4 + 104539290583/397659*c_1001_0^3 - 3247798142000/10736793*c_1001_0^2 + 172247701412/1192977*c_1001_0 - 376955077693/10736793, c_0011_0 - 1, c_0011_2 + c_1001_0^18 + 16*c_1001_0^17 + 111*c_1001_0^16 + 432*c_1001_0^15 + 1014*c_1001_0^14 + 1420*c_1001_0^13 + 1075*c_1001_0^12 + 372*c_1001_0^11 + 255*c_1001_0^10 + 388*c_1001_0^9 + 49*c_1001_0^8 - 120*c_1001_0^7 + 80*c_1001_0^6 + 12*c_1001_0^5 - 36*c_1001_0^4 + 32*c_1001_0^3 - 13*c_1001_0^2 + 6*c_1001_0 - 1, c_0011_4 - c_1001_0^16 - 14*c_1001_0^15 - 83*c_1001_0^14 - 266*c_1001_0^13 - 481*c_1001_0^12 - 446*c_1001_0^11 - 124*c_1001_0^10 + 24*c_1001_0^9 - 117*c_1001_0^8 - 70*c_1001_0^7 + 86*c_1001_0^6 + 4*c_1001_0^5 - 38*c_1001_0^4 + 20*c_1001_0^3 - 2*c_1001_0^2 - 4*c_1001_0 + 1, c_0011_8 + c_1001_0^12 + 10*c_1001_0^11 + 39*c_1001_0^10 + 70*c_1001_0^9 + 45*c_1001_0^8 - 14*c_1001_0^7 + 32*c_1001_0^5 - 10*c_1001_0^4 - 12*c_1001_0^3 + 13*c_1001_0^2 - 6*c_1001_0 + 1, c_0101_0 + c_1001_0^19 + 18*c_1001_0^18 + 142*c_1001_0^17 + 638*c_1001_0^16 + 1768*c_1001_0^15 + 3030*c_1001_0^14 + 2984*c_1001_0^13 + 1368*c_1001_0^12 + 405*c_1001_0^11 + 972*c_1001_0^10 + 694*c_1001_0^9 - 434*c_1001_0^8 - 92*c_1001_0^7 + 362*c_1001_0^6 - 178*c_1001_0^5 - 56*c_1001_0^4 + 125*c_1001_0^3 - 72*c_1001_0^2 + 26*c_1001_0 - 4, c_0101_1 + c_1001_0^20 + 18*c_1001_0^19 + 143*c_1001_0^18 + 654*c_1001_0^17 + 1879*c_1001_0^16 + 3462*c_1001_0^15 + 3998*c_1001_0^14 + 2788*c_1001_0^13 + 1480*c_1001_0^12 + 1344*c_1001_0^11 + 949*c_1001_0^10 - 46*c_1001_0^9 - 43*c_1001_0^8 + 242*c_1001_0^7 - 98*c_1001_0^6 - 44*c_1001_0^5 + 89*c_1001_0^4 - 40*c_1001_0^3 + 13*c_1001_0^2 + 2*c_1001_0 - 1, c_0101_2 + c_1001_0^3 + 2*c_1001_0^2, c_0101_6 - c_1001_0^14 - 12*c_1001_0^13 - 59*c_1001_0^12 - 148*c_1001_0^11 - 186*c_1001_0^10 - 84*c_1001_0^9 + 5*c_1001_0^8 - 56*c_1001_0^7 - 50*c_1001_0^6 + 44*c_1001_0^5 - 2*c_1001_0^4 - 24*c_1001_0^3 + 20*c_1001_0^2 - 8*c_1001_0 + 1, c_0110_3 + c_1001_0, c_1001_0^21 + 19*c_1001_0^20 + 160*c_1001_0^19 + 779*c_1001_0^18 + 2391*c_1001_0^17 + 4703*c_1001_0^16 + 5692*c_1001_0^15 + 3756*c_1001_0^14 + 1284*c_1001_0^13 + 1456*c_1001_0^12 + 1888*c_1001_0^11 - 69*c_1001_0^10 - 783*c_1001_0^9 + 633*c_1001_0^8 + 236*c_1001_0^7 - 504*c_1001_0^6 + 223*c_1001_0^5 + 105*c_1001_0^4 - 152*c_1001_0^3 + 87*c_1001_0^2 - 25*c_1001_0 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB