Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 3650634974] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3353 geometric_solution 6.50772105 oriented_manifold CS_known 0.0000000000000003 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 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593789116647 0.414005702481 0 5 6 3 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569419055181 0.585806781871 4 0 6 6 3012 0132 0213 1302 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 1 -1 0 -1 0 0 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776143070462 0.948737918583 5 1 4 0 0132 1302 3012 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 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 0.937298079577 0.801189676447 5 3 0 2 2031 1230 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.207494706420 1.230665436751 3 1 4 6 0132 0132 1302 1230 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814615515491 1.108287069676 5 2 2 1 3012 0213 2031 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 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 0.730718252993 0.947766856596 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0011_6'], '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_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_4, c_0011_6, c_0101_1, c_0101_6, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 3044059/1418950*c_1001_0^10 + 255864/28379*c_1001_0^9 - 661009/28379*c_1001_0^8 + 58359123/1418950*c_1001_0^7 - 78346321/1418950*c_1001_0^6 + 59131711/709475*c_1001_0^5 - 32415664/709475*c_1001_0^4 + 39147923/709475*c_1001_0^3 - 812733/54575*c_1001_0^2 + 9338031/1418950*c_1001_0 + 9079384/709475, c_0011_0 - 1, c_0011_4 - 23308/141895*c_1001_0^10 + 19054/28379*c_1001_0^9 - 44342/28379*c_1001_0^8 + 330441/141895*c_1001_0^7 - 324492/141895*c_1001_0^6 + 465389/141895*c_1001_0^5 + 21289/141895*c_1001_0^4 - 28698/141895*c_1001_0^3 + 106624/141895*c_1001_0^2 - 172883/141895*c_1001_0 + 75421/141895, c_0011_6 + c_1001_0, c_0101_1 + 9753/141895*c_1001_0^10 - 8891/28379*c_1001_0^9 + 23208/28379*c_1001_0^8 - 227986/141895*c_1001_0^7 + 363392/141895*c_1001_0^6 - 613464/141895*c_1001_0^5 + 587936/141895*c_1001_0^4 - 520177/141895*c_1001_0^3 + 490991/141895*c_1001_0^2 - 35322/141895*c_1001_0 - 47491/141895, c_0101_6 + 2060/28379*c_1001_0^10 - 9701/28379*c_1001_0^9 + 28045/28379*c_1001_0^8 - 54428/28379*c_1001_0^7 + 80450/28379*c_1001_0^6 - 118418/28379*c_1001_0^5 + 104256/28379*c_1001_0^4 - 111491/28379*c_1001_0^3 + 39391/28379*c_1001_0^2 - 42954/28379*c_1001_0 - 2643/28379, c_0110_2 - 6081/141895*c_1001_0^10 + 6722/28379*c_1001_0^9 - 17508/28379*c_1001_0^8 + 149482/141895*c_1001_0^7 - 181139/141895*c_1001_0^6 + 258888/141895*c_1001_0^5 - 273262/141895*c_1001_0^4 + 130889/141895*c_1001_0^3 - 258602/141895*c_1001_0^2 + 126164/141895*c_1001_0 - 63793/141895, c_1001_0^11 - 4*c_1001_0^10 + 10*c_1001_0^9 - 17*c_1001_0^8 + 22*c_1001_0^7 - 34*c_1001_0^6 + 14*c_1001_0^5 - 22*c_1001_0^4 + 3*c_1001_0^3 - 2*c_1001_0^2 - 6*c_1001_0 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB