Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 374835910] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1185 geometric_solution 5.05652679 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 1.065281062197 0.840942566707 0 5 5 4 0132 0132 1023 0213 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413534073694 0.235176778892 2 0 2 4 2031 0132 1302 2031 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 0 0 -1 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 0.591263496219 0.531944547181 4 3 3 0 0213 1230 3012 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 1 -1 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 1.215450913891 0.727547180794 3 2 0 1 0213 1302 0132 0213 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 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 0.421674075200 0.456535748971 6 1 1 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.254975804023 0.707687478640 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 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 1.677318579812 0.251672627092 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], '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_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' : negation(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_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0110_2']})} 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_0101_0, c_0101_5, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 84451151/185976*c_0110_2^13 - 17675465/8856*c_0110_2^12 - 56663917/92988*c_0110_2^11 + 557712763/61992*c_0110_2^10 + 1606191815/185976*c_0110_2^9 - 1836956959/92988*c_0110_2^8 - 609041425/23247*c_0110_2^7 + 367325089/13284*c_0110_2^6 + 8798280863/185976*c_0110_2^5 - 306226192/23247*c_0110_2^4 - 2349692665/61992*c_0110_2^3 + 800628359/185976*c_0110_2^2 + 51933038/2583*c_0110_2 + 139584826/23247, c_0011_0 - 1, c_0011_3 - 148/27*c_0110_2^13 - 433/18*c_0110_2^12 - 395/54*c_0110_2^11 + 325/3*c_0110_2^10 + 5621/54*c_0110_2^9 - 12815/54*c_0110_2^8 - 8539/27*c_0110_2^7 + 8935/27*c_0110_2^6 + 15430/27*c_0110_2^5 - 8351/54*c_0110_2^4 - 4129/9*c_0110_2^3 + 2609/54*c_0110_2^2 + 4381/18*c_0110_2 + 1993/27, c_0011_4 + c_0110_2^2 - 1, c_0101_0 + 1631/108*c_0110_2^13 + 2401/36*c_0110_2^12 + 581/27*c_0110_2^11 - 3593/12*c_0110_2^10 - 31697/108*c_0110_2^9 + 17672/27*c_0110_2^8 + 23951/27*c_0110_2^7 - 49189/54*c_0110_2^6 - 172703/108*c_0110_2^5 + 22717/54*c_0110_2^4 + 46133/36*c_0110_2^3 - 14069/108*c_0110_2^2 - 12251/18*c_0110_2 - 5603/27, c_0101_5 - 455/27*c_0110_2^13 - 445/6*c_0110_2^12 - 1237/54*c_0110_2^11 + 3008/9*c_0110_2^10 + 17395/54*c_0110_2^9 - 39631/54*c_0110_2^8 - 26366/27*c_0110_2^7 + 27740/27*c_0110_2^6 + 47594/27*c_0110_2^5 - 26419/54*c_0110_2^4 - 4237/3*c_0110_2^3 + 8617/54*c_0110_2^2 + 13477/18*c_0110_2 + 6065/27, c_0101_6 + 325/108*c_0110_2^13 + 443/36*c_0110_2^12 + 16/27*c_0110_2^11 - 703/12*c_0110_2^10 - 4279/108*c_0110_2^9 + 3697/27*c_0110_2^8 + 3502/27*c_0110_2^7 - 11207/54*c_0110_2^6 - 26173/108*c_0110_2^5 + 7349/54*c_0110_2^4 + 7003/36*c_0110_2^3 - 7219/108*c_0110_2^2 - 1837/18*c_0110_2 - 565/27, c_0110_2^14 + 5*c_0110_2^13 + 4*c_0110_2^12 - 19*c_0110_2^11 - 31*c_0110_2^10 + 32*c_0110_2^9 + 84*c_0110_2^8 - 26*c_0110_2^7 - 141*c_0110_2^6 - 34*c_0110_2^5 + 101*c_0110_2^4 + 41*c_0110_2^3 - 50*c_0110_2^2 - 40*c_0110_2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB