Magma V2.19-8 Tue Aug 20 2013 16:17:48 on localhost [Seed = 2884253513] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2035 geometric_solution 5.57195517 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 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 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 0 0 -0.428583034656 0.501807197270 0 0 4 3 0132 2310 0132 0132 0 0 0 0 0 -1 0 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 -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 0.108779021542 0.522238152877 2 0 0 2 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.040763977311 0.373928628868 5 6 1 4 0132 0132 0132 1302 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599194569733 0.723706308762 6 5 3 1 2310 2310 2031 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 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 0.599194569733 0.723706308762 3 6 6 4 0132 2310 3201 3201 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 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 0.850680531470 1.050912770017 5 3 4 5 2310 0132 3201 3201 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155427868602 0.771685658408 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], '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' : negation(d['c_0011_3']), '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' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), '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_5'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_4']), '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_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 32 Groebner basis: [ t + 484083904556849/6236425219730*c_0101_5^15 + 894890398899469/6236425219730*c_0101_5^14 - 5465455364537343/6236425219730*c_0101_5^13 - 6849067225538746/3118212609865*c_0101_5^12 + 8913977979225583/6236425219730*c_0101_5^11 + 7682126586305243/1247285043946*c_0101_5^10 - 7366092545095781/3118212609865*c_0101_5^9 - 77339515564236069/6236425219730*c_0101_5^8 + 36378648937763279/6236425219730*c_0101_5^7 + 85754015691917878/3118212609865*c_0101_5^6 + 59232655543545011/6236425219730*c_0101_5^5 - 62971249382953951/6236425219730*c_0101_5^4 - 2072442200284191/623642521973*c_0101_5^3 + 19298908884208987/6236425219730*c_0101_5^2 + 12353978812030201/6236425219730*c_0101_5 + 2898846614348719/6236425219730, c_0011_0 - 1, c_0011_3 - 15667210954/623642521973*c_0101_2*c_0101_5^15 + 196556903310/623642521973*c_0101_2*c_0101_5^14 + 440358655775/623642521973*c_0101_2*c_0101_5^13 - 2274060690091/623642521973*c_0101_2*c_0101_5^12 - 4830372672777/623642521973*c_0101_2*c_0101_5^11 + 5917147993350/623642521973*c_0101_2*c_0101_5^10 + 13551713774665/623642521973*c_0101_2*c_0101_5^9 - 13026356109219/623642521973*c_0101_2*c_0101_5^8 - 26932777267216/623642521973*c_0101_2*c_0101_5^7 + 28417007838763/623642521973*c_0101_2*c_0101_5^6 + 55670908917140/623642521973*c_0101_2*c_0101_5^5 - 8513380864296/623642521973*c_0101_2*c_0101_5^4 - 22847620998069/623642521973*c_0101_2*c_0101_5^3 + 5138006434047/623642521973*c_0101_2*c_0101_5^2 + 6112304803483/623642521973*c_0101_2*c_0101_5 + 1462570976099/623642521973*c_0101_2, c_0101_0 - 284344879678/623642521973*c_0101_2*c_0101_5^15 - 391689182556/623642521973*c_0101_2*c_0101_5^14 + 3371656352952/623642521973*c_0101_2*c_0101_5^13 + 6416023431747/623642521973*c_0101_2*c_0101_5^12 - 7992382162025/623642521973*c_0101_2*c_0101_5^11 - 18153109505598/623642521973*c_0101_2*c_0101_5^10 + 16724910754335/623642521973*c_0101_2*c_0101_5^9 + 35717755069089/623642521973*c_0101_2*c_0101_5^8 - 37386403829770/623642521973*c_0101_2*c_0101_5^7 - 79502320248218/623642521973*c_0101_2*c_0101_5^6 + 748664947141/623642521973*c_0101_2*c_0101_5^5 + 28649747215630/623642521973*c_0101_2*c_0101_5^4 - 3527542311037/623642521973*c_0101_2*c_0101_5^3 - 6607156612600/623642521973*c_0101_2*c_0101_5^2 - 3197798655892/623642521973*c_0101_2*c_0101_5 - 1004775759887/623642521973*c_0101_2, c_0101_1 + 618557382005/623642521973*c_0101_2*c_0101_5^15 + 890442862192/623642521973*c_0101_2*c_0101_5^14 - 7291095114366/623642521973*c_0101_2*c_0101_5^13 - 14457491410081/623642521973*c_0101_2*c_0101_5^12 + 16619637966180/623642521973*c_0101_2*c_0101_5^11 + 41185897885771/623642521973*c_0101_2*c_0101_5^10 - 33864759061810/623642521973*c_0101_2*c_0101_5^9 - 81898769006164/623642521973*c_0101_2*c_0101_5^8 + 76068341531898/623642521973*c_0101_2*c_0101_5^7 + 182063801807285/623642521973*c_0101_2*c_0101_5^6 + 9749506975282/623642521973*c_0101_2*c_0101_5^5 - 70870960946902/623642521973*c_0101_2*c_0101_5^4 + 115444773409/623642521973*c_0101_2*c_0101_5^3 + 19815309908529/623642521973*c_0101_2*c_0101_5^2 + 8739663372354/623642521973*c_0101_2*c_0101_5 + 1656722943507/623642521973*c_0101_2, c_0101_2^2 - 70142641886344/30558483576677*c_0101_5^15 - 93848918075056/30558483576677*c_0101_5^14 + 834150715075215/30558483576677*c_0101_5^13 + 1553158647754795/30558483576677*c_0101_5^12 - 2014925187972784/30558483576677*c_0101_5^11 - 4433649067844512/30558483576677*c_0101_5^10 + 4199384715175053/30558483576677*c_0101_5^9 + 8764690993200466/30558483576677*c_0101_5^8 - 9302907037781389/30558483576677*c_0101_5^7 - 19522158247757252/30558483576677*c_0101_5^6 + 61404787934136/4365497653811*c_0101_5^5 + 7609585271897366/30558483576677*c_0101_5^4 - 402069091416110/30558483576677*c_0101_5^3 - 2082246664056182/30558483576677*c_0101_5^2 - 923874512352887/30558483576677*c_0101_5 - 124414348242297/30558483576677, c_0101_4 - 1525931243837/623642521973*c_0101_5^15 - 2144488625842/623642521973*c_0101_5^14 + 18039289445857/623642521973*c_0101_5^13 + 35029742983619/623642521973*c_0101_5^12 - 41935288987256/623642521973*c_0101_5^11 - 99810710973558/623642521973*c_0101_5^10 + 86091575476853/623642521973*c_0101_5^9 + 198025907574225/623642521973*c_0101_5^8 - 192423700759911/623642521973*c_0101_5^7 - 440609544772492/623642521973*c_0101_5^6 - 13070018437779/623642521973*c_0101_5^5 + 171172948284567/623642521973*c_0101_5^4 - 2642387732097/623642521973*c_0101_5^3 - 47828788087933/623642521973*c_0101_5^2 - 21439964145353/623642521973*c_0101_5 - 2559011665371/623642521973, c_0101_5^16 + 2*c_0101_5^15 - 11*c_0101_5^14 - 30*c_0101_5^13 + 14*c_0101_5^12 + 82*c_0101_5^11 - 18*c_0101_5^10 - 164*c_0101_5^9 + 50*c_0101_5^8 + 365*c_0101_5^7 + 178*c_0101_5^6 - 110*c_0101_5^5 - 64*c_0101_5^4 + 33*c_0101_5^3 + 32*c_0101_5^2 + 10*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB