Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 728414192] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0940 geometric_solution 4.84163600 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 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 0 -1 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 0.007518778644 1.127221788542 0 4 2 5 0132 0132 2031 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.164249459742 0.170725387813 5 0 0 1 3120 0132 1023 1302 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 -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 0.597584880898 0.506695038271 6 5 0 4 0132 1023 0132 2103 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 -1 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 0.605155731481 0.604843520698 5 1 6 3 1302 0132 0213 2103 0 0 0 0 0 0 0 0 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 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 5.817605067311 4.471678791003 3 4 1 2 1023 2031 0132 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201199110974 1.311083711920 3 4 6 6 0132 0213 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.666362212198 5.753332563708 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : 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_0_6' : 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_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0101_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), '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_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 49130595/141887*c_0110_2^7 - 29427701/141887*c_0110_2^6 - 79323057/141887*c_0110_2^5 + 55202430/141887*c_0110_2^4 + 16071601/141887*c_0110_2^3 - 5052598/141887*c_0110_2^2 + 8029910/141887*c_0110_2 - 2448501/141887, c_0011_0 - 1, c_0011_3 - 43061/12338*c_0110_2^7 + 6341/12338*c_0110_2^6 + 31896/6169*c_0110_2^5 - 573/6169*c_0110_2^4 - 15247/12338*c_0110_2^3 - 44961/12338*c_0110_2^2 + 7313/12338*c_0110_2 + 14107/12338, c_0101_0 + 33269/6169*c_0110_2^7 - 47047/6169*c_0110_2^6 - 29432/6169*c_0110_2^5 + 83418/6169*c_0110_2^4 - 31201/6169*c_0110_2^3 - 17730/6169*c_0110_2^2 + 15044/6169*c_0110_2 - 1866/6169, c_0101_1 - 30073/12338*c_0110_2^7 + 50137/12338*c_0110_2^6 + 27787/6169*c_0110_2^5 - 40741/6169*c_0110_2^4 - 32465/12338*c_0110_2^3 + 18785/12338*c_0110_2^2 + 20285/12338*c_0110_2 + 5025/12338, c_0101_2 - 136595/12338*c_0110_2^7 + 65409/12338*c_0110_2^6 + 117089/6169*c_0110_2^5 - 54891/6169*c_0110_2^4 - 69247/12338*c_0110_2^3 - 15131/12338*c_0110_2^2 - 11561/12338*c_0110_2 + 8875/12338, c_0101_6 - 30974/6169*c_0110_2^7 - 18790/6169*c_0110_2^6 + 65333/6169*c_0110_2^5 + 29933/6169*c_0110_2^4 - 45821/6169*c_0110_2^3 - 18953/6169*c_0110_2^2 + 3139/6169*c_0110_2 + 1214/6169, c_0110_2^8 - 4/17*c_0110_2^7 - 35/17*c_0110_2^6 + 10/17*c_0110_2^5 + 19/17*c_0110_2^4 - 2/17*c_0110_2^3 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB