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Loading file "K13n2969__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2969 geometric_solution 9.18717531 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 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 0 0 0 0 1 3 -4 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684861494618 1.249726359168 0 5 5 6 0132 0132 3120 0132 0 0 0 0 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 4 -4 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132305419406 0.503687305367 7 0 6 3 0132 0132 1302 1230 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 1 0 0 0 0 0 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.633674009710 2.147014787269 2 8 9 0 3012 0132 0132 0132 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 3 -3 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 0.755502203995 0.403410694425 5 9 0 6 0132 1230 0132 2103 0 0 0 0 0 0 1 -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 0 4 -4 1 0 0 -1 4 0 0 -4 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497978778060 0.791303392537 4 1 1 10 0132 0132 3120 0132 0 0 0 0 0 -1 1 0 0 0 0 0 -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 -4 4 0 -1 0 0 1 -3 0 0 3 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.676791794008 0.789101164902 2 10 1 4 2031 3120 0132 2103 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 -4 0 4 -1 0 0 1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016546561894 1.991553363873 2 9 8 10 0132 2103 2103 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.556941524469 0.377775694829 7 3 9 10 2103 0132 1302 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013261390221 1.220451469871 8 7 4 3 2031 2103 3012 0132 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 3 -3 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 1.105387077884 0.510822688104 8 6 5 7 3201 3120 0132 1023 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 1 0 -1 0 0 0 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599351994455 0.657253806218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_1001_1']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : 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_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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_6']), 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : negation(d['c_0101_1']), 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0110_10']), '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' : 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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_1']), '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_0011_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_10, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6412357/218319*c_0110_6*c_1001_1^5 - 23195674/218319*c_0110_6*c_1001_1^4 + 8949640/72773*c_0110_6*c_1001_1^3 - 5146948/72773*c_0110_6*c_1001_1^2 - 36826276/218319*c_0110_6*c_1001_1 - 8267158/218319*c_0110_6 - 14212994/218319*c_1001_1^5 + 47965748/218319*c_1001_1^4 - 15375773/72773*c_1001_1^3 + 5392647/72773*c_1001_1^2 + 94963541/218319*c_1001_1 + 34459040/218319, c_0011_0 - 1, c_0011_10 + 5*c_0110_6*c_1001_1^5 - 18*c_0110_6*c_1001_1^4 + 21*c_0110_6*c_1001_1^3 - 13*c_0110_6*c_1001_1^2 - 27*c_0110_6*c_1001_1 - 8*c_0110_6 + 16*c_1001_1^5 - 57*c_1001_1^4 + 64*c_1001_1^3 - 36*c_1001_1^2 - 92*c_1001_1 - 28, c_0011_3 + c_0110_6 - 16*c_1001_1^5 + 56*c_1001_1^4 - 60*c_1001_1^3 + 30*c_1001_1^2 + 96*c_1001_1 + 32, c_0011_6 + 5*c_0110_6*c_1001_1^5 - 18*c_0110_6*c_1001_1^4 + 21*c_0110_6*c_1001_1^3 - 13*c_0110_6*c_1001_1^2 - 27*c_0110_6*c_1001_1 - 8*c_0110_6 + 19*c_1001_1^5 - 68*c_1001_1^4 + 77*c_1001_1^3 - 44*c_1001_1^2 - 108*c_1001_1 - 32, c_0101_0 - 3*c_0110_6*c_1001_1^5 + 10*c_0110_6*c_1001_1^4 - 9*c_0110_6*c_1001_1^3 + 2*c_0110_6*c_1001_1^2 + 21*c_0110_6*c_1001_1 + 8*c_0110_6 - 1, c_0101_1 + 3*c_0110_6*c_1001_1^5 - 11*c_0110_6*c_1001_1^4 + 13*c_0110_6*c_1001_1^3 - 8*c_0110_6*c_1001_1^2 - 16*c_0110_6*c_1001_1 - 4*c_0110_6 + 5*c_1001_1^5 - 18*c_1001_1^4 + 21*c_1001_1^3 - 13*c_1001_1^2 - 27*c_1001_1 - 8, c_0101_3 + 8*c_0110_6*c_1001_1^5 - 28*c_0110_6*c_1001_1^4 + 30*c_0110_6*c_1001_1^3 - 15*c_0110_6*c_1001_1^2 - 48*c_0110_6*c_1001_1 - 16*c_0110_6 + 16*c_1001_1^5 - 57*c_1001_1^4 + 64*c_1001_1^3 - 36*c_1001_1^2 - 92*c_1001_1 - 28, c_0101_5 + c_0110_6*c_1001_1^5 - 4*c_0110_6*c_1001_1^4 + 6*c_0110_6*c_1001_1^3 - 5*c_0110_6*c_1001_1^2 - 4*c_0110_6*c_1001_1 + 3*c_1001_1^5 - 11*c_1001_1^4 + 13*c_1001_1^3 - 8*c_1001_1^2 - 16*c_1001_1 - 5, c_0110_10 + 8*c_0110_6*c_1001_1^5 - 28*c_0110_6*c_1001_1^4 + 30*c_0110_6*c_1001_1^3 - 15*c_0110_6*c_1001_1^2 - 48*c_0110_6*c_1001_1 - 16*c_0110_6 + 16*c_1001_1^5 - 57*c_1001_1^4 + 64*c_1001_1^3 - 36*c_1001_1^2 - 92*c_1001_1 - 28, c_0110_6^2 - 16*c_0110_6*c_1001_1^5 + 56*c_0110_6*c_1001_1^4 - 60*c_0110_6*c_1001_1^3 + 30*c_0110_6*c_1001_1^2 + 96*c_0110_6*c_1001_1 + 32*c_0110_6 - 16*c_1001_1^5 + 57*c_1001_1^4 - 64*c_1001_1^3 + 36*c_1001_1^2 + 92*c_1001_1 + 29, c_1001_1^6 - 3*c_1001_1^5 + 2*c_1001_1^4 - 7*c_1001_1^2 - 5*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB