Magma V2.19-8 Tue Aug 20 2013 16:14:50 on localhost [Seed = 1646525967] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s813 geometric_solution 5.37732987 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 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 -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 0.557789724288 0.348791950777 0 1 5 1 0132 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599304606388 0.842907220701 2 0 2 5 2310 0132 3201 0132 0 0 0 0 0 0 1 -1 -1 0 1 0 -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 1 -1 0 1 0 -1 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 0.686049191917 1.243140427766 3 5 3 0 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756055697798 0.516975294628 5 4 0 4 0132 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.809887668278 0.761962287095 4 3 2 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557789724288 0.348791950777 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : 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_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], '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_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' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_2']), '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_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 798509/78700750*c_1001_0^9 + 3499546/39350375*c_1001_0^8 + 3414383/39350375*c_1001_0^7 + 14474979/39350375*c_1001_0^6 - 8986182/39350375*c_1001_0^5 - 13734743/7870075*c_1001_0^4 - 83075583/78700750*c_1001_0^3 - 176219159/78700750*c_1001_0^2 - 29075449/15740150*c_1001_0 + 34123999/39350375, c_0011_0 - 1, c_0011_3 - 58086/314803*c_1001_0^9 - 74086/314803*c_1001_0^8 - 319594/314803*c_1001_0^7 + 20677/314803*c_1001_0^6 + 361214/314803*c_1001_0^5 + 620879/314803*c_1001_0^4 + 1973351/314803*c_1001_0^3 + 1594275/314803*c_1001_0^2 + 1348431/314803*c_1001_0 + 844228/314803, c_0101_0 + 15106/314803*c_1001_0^9 + 36187/314803*c_1001_0^8 + 62249/314803*c_1001_0^7 + 68752/314803*c_1001_0^6 - 279603/314803*c_1001_0^5 - 71708/314803*c_1001_0^4 - 469643/314803*c_1001_0^3 - 832983/314803*c_1001_0^2 + 22398/314803*c_1001_0 - 393077/314803, c_0101_1 + 45473/314803*c_1001_0^9 + 106244/314803*c_1001_0^8 + 291938/314803*c_1001_0^7 + 188831/314803*c_1001_0^6 - 443329/314803*c_1001_0^5 - 959250/314803*c_1001_0^4 - 1789215/314803*c_1001_0^3 - 2303789/314803*c_1001_0^2 - 1234426/314803*c_1001_0 - 589815/314803, c_0101_2 - 595/7321*c_1001_0^9 - 316/7321*c_1001_0^8 - 3032/7321*c_1001_0^7 + 1709/7321*c_1001_0^6 + 1565/7321*c_1001_0^5 + 1766/7321*c_1001_0^4 + 19696/7321*c_1001_0^3 + 8679/7321*c_1001_0^2 + 16372/7321*c_1001_0 + 11164/7321, c_1001_0^10 + 2*c_1001_0^9 + 6*c_1001_0^8 + 3*c_1001_0^7 - 9*c_1001_0^6 - 15*c_1001_0^5 - 38*c_1001_0^4 - 44*c_1001_0^3 - 30*c_1001_0^2 - 22*c_1001_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB