Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 2598045674] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2876 geometric_solution 6.09005417 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.166292329393 0.853401838126 0 2 4 5 0132 2031 2310 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 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 0.508043272750 1.099256232333 1 0 4 6 1302 0132 3201 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 0 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 0.131981019122 0.739967689749 5 6 6 0 0132 3120 2103 0132 0 0 0 0 0 1 0 -1 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361666862736 0.482893290045 2 1 0 5 2310 3201 0132 2031 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 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 0.009707266462 0.871841905543 3 4 1 6 0132 1302 0132 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.766393356279 1.309744155743 3 3 2 5 2103 3120 0132 1023 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 -1 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 0.010003672804 0.572921354313 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0110_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : 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' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 524221/3220504*c_0110_6^9 + 3622231/3220504*c_0110_6^8 + 7329165/3220504*c_0110_6^7 + 1341841/3220504*c_0110_6^6 - 2896161/1610252*c_0110_6^5 + 1563091/3220504*c_0110_6^4 + 461988/402563*c_0110_6^3 + 1375695/402563*c_0110_6^2 + 923/57509*c_0110_6 - 7898619/3220504, c_0011_0 - 1, c_0011_3 - 5260/57509*c_0110_6^9 - 38139/57509*c_0110_6^8 - 90545/57509*c_0110_6^7 - 66084/57509*c_0110_6^6 - 9106/57509*c_0110_6^5 - 67785/57509*c_0110_6^4 - 71730/57509*c_0110_6^3 - 91217/57509*c_0110_6^2 - 61732/57509*c_0110_6 - 3994/57509, c_0011_4 + 3330/57509*c_0110_6^9 + 29721/57509*c_0110_6^8 + 94386/57509*c_0110_6^7 + 119244/57509*c_0110_6^6 + 33098/57509*c_0110_6^5 - 17329/57509*c_0110_6^4 + 71432/57509*c_0110_6^3 + 168939/57509*c_0110_6^2 + 88281/57509*c_0110_6 + 34891/57509, c_0011_6 - 2095/57509*c_0110_6^9 - 16885/57509*c_0110_6^8 - 49019/57509*c_0110_6^7 - 59995/57509*c_0110_6^6 - 29976/57509*c_0110_6^5 - 30114/57509*c_0110_6^4 - 74817/57509*c_0110_6^3 - 103953/57509*c_0110_6^2 - 54763/57509*c_0110_6 - 18756/57509, c_0101_0 - 1066/57509*c_0110_6^9 - 15317/57509*c_0110_6^8 - 74875/57509*c_0110_6^7 - 143761/57509*c_0110_6^6 - 65652/57509*c_0110_6^5 + 29449/57509*c_0110_6^4 - 115123/57509*c_0110_6^3 - 142054/57509*c_0110_6^2 - 111260/57509*c_0110_6 - 29061/57509, c_0101_1 + 4316/57509*c_0110_6^9 + 33962/57509*c_0110_6^8 + 91351/57509*c_0110_6^7 + 75697/57509*c_0110_6^6 - 44177/57509*c_0110_6^5 - 39281/57509*c_0110_6^4 + 78974/57509*c_0110_6^3 + 80007/57509*c_0110_6^2 + 45099/57509*c_0110_6 - 7175/57509, c_0110_6^10 + 8*c_0110_6^9 + 22*c_0110_6^8 + 22*c_0110_6^7 + 5*c_0110_6^6 + 9*c_0110_6^5 + 19*c_0110_6^4 + 26*c_0110_6^3 + 22*c_0110_6^2 + 7*c_0110_6 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB