Magma V2.19-8 Tue Aug 20 2013 18:13:20 on localhost [Seed = 762090875] Type ? for help. Type -D to quit. Loading file "10^3_42__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_42 geometric_solution 13.64038891 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 2 3 0132 0132 1302 0132 0 1 1 2 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 0 1 0 0 1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.309539307921 1.062443656113 0 4 5 4 0132 0132 0132 1230 0 1 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430053578508 0.661743241166 0 0 6 4 2031 0132 0132 0132 0 0 2 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 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 0.747232542487 0.867583453328 7 4 0 6 0132 1302 0132 1230 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 0 0 0 0 0 -1 1 -1 0 1 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153038897589 0.645298333018 1 1 2 3 3012 0132 0132 2031 0 0 1 2 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747232542487 0.867583453328 8 9 6 1 0132 0132 0213 0132 0 1 1 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 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659260016212 0.691343444292 3 5 10 2 3012 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.439742864707 0.200350207473 3 9 11 8 0132 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 5 0 -5 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 0.760876678849 0.656518455008 5 12 7 11 0132 0132 0132 3120 1 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 0 0 0 0 0 5 -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 0.940657437490 0.688146148918 13 5 7 10 0132 0132 3012 0321 0 1 0 1 0 0 0 0 0 0 -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 -5 5 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694947927445 1.766261815414 14 9 13 6 0132 0321 0321 0132 0 0 0 1 0 0 0 0 1 0 -1 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 2 -1 0 0 0 0 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848104599267 0.533028277696 8 13 12 7 3120 1302 0132 0132 1 1 0 1 0 -1 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 0 -4 4 0 0 0 -1 1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399160743137 0.618843401432 14 8 14 11 3201 0132 0213 0132 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 4 -4 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 0.379669929182 0.506389977698 9 14 10 11 0132 3201 0321 2031 0 1 1 0 0 0 0 0 0 0 -1 1 0 -1 0 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 -4 4 -1 -4 0 5 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.258716904689 1.152604814925 10 12 13 12 0132 0213 2310 2310 1 0 1 0 0 -1 1 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 0 0 0 0 -4 4 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 0 0 0.379669929182 0.506389977698 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0011_11']), 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0101_14']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0101_9'], 'c_1010_13' : d['c_0011_11'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : d['c_1001_5'], 'c_1010_14' : negation(d['c_0101_11']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_0_13' : negation(d['1']), 's_0_14' : negation(d['1']), 's_3_14' : 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_10'], 'c_0101_14' : d['c_0101_14'], '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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_0011_14' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0101_14']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_14']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_14']), 'c_1100_14' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0101_14']), 'c_1100_13' : d['c_1001_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0011_3'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0101_14'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : negation(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'], 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], '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_6'], 'c_0110_10' : d['c_0101_14'], 'c_0110_13' : d['c_0101_9'], 'c_0110_12' : d['c_0101_11'], 'c_0110_14' : d['c_0011_10'], 'c_1010_4' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_14'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], '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_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_1'], 's_1_14' : d['1'], 's_1_13' : negation(d['1']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_1001_10'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 'c_0101_13' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0101_1, c_0101_11, c_0101_14, c_0101_2, c_0101_4, c_0101_9, c_0110_4, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 80443/5290*c_1001_5^10 - 122409/1058*c_1001_5^9 + 1333766/2645*c_1001_5^8 - 7986943/5290*c_1001_5^7 + 8883539/2645*c_1001_5^6 - 6053197/1058*c_1001_5^5 + 865324/115*c_1001_5^4 - 39799307/5290*c_1001_5^3 + 14547834/2645*c_1001_5^2 - 308924/115*c_1001_5 + 1687104/2645, c_0011_0 - 1, c_0011_10 + 3/16*c_1001_5^10 - 19/16*c_1001_5^9 + 19/4*c_1001_5^8 - 217/16*c_1001_5^7 + 479/16*c_1001_5^6 - 841/16*c_1001_5^5 + 74*c_1001_5^4 - 655/8*c_1001_5^3 + 1099/16*c_1001_5^2 - 639/16*c_1001_5 + 49/4, c_0011_11 - 3/32*c_1001_5^10 + 27/32*c_1001_5^9 - 33/8*c_1001_5^8 + 441/32*c_1001_5^7 - 1095/32*c_1001_5^6 + 2097/32*c_1001_5^5 - 393/4*c_1001_5^4 + 1823/16*c_1001_5^3 - 3163/32*c_1001_5^2 + 1895/32*c_1001_5 - 151/8, c_0011_12 + 1/32*c_1001_5^10 - 9/32*c_1001_5^9 + 11/8*c_1001_5^8 - 147/32*c_1001_5^7 + 365/32*c_1001_5^6 - 699/32*c_1001_5^5 + 131/4*c_1001_5^4 - 613/16*c_1001_5^3 + 1065/32*c_1001_5^2 - 653/32*c_1001_5 + 53/8, c_0011_3 - 1/32*c_1001_5^10 + 9/32*c_1001_5^9 - 11/8*c_1001_5^8 + 147/32*c_1001_5^7 - 365/32*c_1001_5^6 + 699/32*c_1001_5^5 - 131/4*c_1001_5^4 + 613/16*c_1001_5^3 - 1097/32*c_1001_5^2 + 717/32*c_1001_5 - 69/8, c_0011_6 + 1/32*c_1001_5^10 - 9/32*c_1001_5^9 + 11/8*c_1001_5^8 - 147/32*c_1001_5^7 + 365/32*c_1001_5^6 - 699/32*c_1001_5^5 + 131/4*c_1001_5^4 - 613/16*c_1001_5^3 + 1097/32*c_1001_5^2 - 685/32*c_1001_5 + 61/8, c_0101_1 - 1, c_0101_11 + 29/64*c_1001_5^10 - 245/64*c_1001_5^9 + 283/16*c_1001_5^8 - 3559/64*c_1001_5^7 + 8233/64*c_1001_5^6 - 14495/64*c_1001_5^5 + 2449/8*c_1001_5^4 - 10033/32*c_1001_5^3 + 15013/64*c_1001_5^2 - 7529/64*c_1001_5 + 485/16, c_0101_14 + 1, c_0101_2 - 1/32*c_1001_5^10 + 9/32*c_1001_5^9 - 11/8*c_1001_5^8 + 147/32*c_1001_5^7 - 365/32*c_1001_5^6 + 699/32*c_1001_5^5 - 131/4*c_1001_5^4 + 613/16*c_1001_5^3 - 1097/32*c_1001_5^2 + 717/32*c_1001_5 - 69/8, c_0101_4 - 1, c_0101_9 - 21/64*c_1001_5^10 + 173/64*c_1001_5^9 - 195/16*c_1001_5^8 + 2383/64*c_1001_5^7 - 5377/64*c_1001_5^6 + 9223/64*c_1001_5^5 - 1521/8*c_1001_5^4 + 6089/32*c_1001_5^3 - 8925/64*c_1001_5^2 + 4417/64*c_1001_5 - 301/16, c_0110_4 - 1/32*c_1001_5^10 + 9/32*c_1001_5^9 - 11/8*c_1001_5^8 + 147/32*c_1001_5^7 - 365/32*c_1001_5^6 + 699/32*c_1001_5^5 - 131/4*c_1001_5^4 + 613/16*c_1001_5^3 - 1097/32*c_1001_5^2 + 717/32*c_1001_5 - 77/8, c_1001_10 + 5/16*c_1001_5^10 - 37/16*c_1001_5^9 + 37/4*c_1001_5^8 - 399/16*c_1001_5^7 + 777/16*c_1001_5^6 - 1119/16*c_1001_5^5 + 74*c_1001_5^4 - 441/8*c_1001_5^3 + 413/16*c_1001_5^2 - 89/16*c_1001_5 - 1/4, c_1001_5^11 - 9*c_1001_5^10 + 44*c_1001_5^9 - 147*c_1001_5^8 + 365*c_1001_5^7 - 699*c_1001_5^6 + 1048*c_1001_5^5 - 1226*c_1001_5^4 + 1097*c_1001_5^3 - 717*c_1001_5^2 + 308*c_1001_5 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.340 seconds, Total memory usage: 32.09MB