Magma V2.19-8 Tue Aug 20 2013 23:40:16 on localhost [Seed = 290944402] Type ? for help. Type -D to quit. Loading file "L10a100__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a100 geometric_solution 9.70718659 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 1302 1 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498563090671 0.607095047747 0 3 0 2 0132 1230 2031 3120 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 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 0.624500126382 0.256323364571 1 0 5 4 3120 0132 0132 0132 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 0 0 0 0 0 0 0 1 -1 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 0.254086953966 0.818803499270 4 6 1 0 0132 0132 3012 0132 1 1 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 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 0.254086953966 0.818803499270 3 7 2 6 0132 0132 0132 1023 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443159862484 1.314608375886 7 8 6 2 3012 0132 1023 0132 1 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 0 1 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 -0.743719849022 1.128875970992 9 3 5 4 0132 0132 1023 1023 1 1 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.027038340187 0.621370697087 9 4 10 5 1023 0132 0132 1230 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550566265169 0.638961402755 9 5 10 10 3120 0132 0321 3120 1 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 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017564229852 1.310335819513 6 7 10 8 0132 1023 3012 3120 1 1 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 0 1 -1 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 0.438351638799 1.541660371626 8 9 8 7 3120 1230 0321 0132 1 1 0 1 0 0 0 0 -1 0 0 1 0 -1 0 1 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.010227885553 0.763026042773 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0101_2'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_1100_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_1100_2'], 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_9'], '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_0110_10' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_9, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 9911800038527/4773150464516*c_1100_2^11 - 60558333698811/9546300929032*c_1100_2^10 + 70430021657027/2386575232258*c_1100_2^9 - 56428971147587/1193287616129*c_1100_2^8 + 391356492148757/4773150464516*c_1100_2^7 + 53583828514019/2386575232258*c_1100_2^6 - 103056818443471/1193287616129*c_1100_2^5 - 185903290171191/2386575232258*c_1100_2^4 - 28172407972923/2386575232258*c_1100_2^3 + 1686418105217077/9546300929032*c_1100_2^2 - 117858612971522/1193287616129*c_1100_2 + 41746691345454/1193287616129, c_0011_0 - 1, c_0011_10 + 21072425557/681878637788*c_1100_2^11 - 10696841354/170469659447*c_1100_2^10 + 66548326502/170469659447*c_1100_2^9 - 119040059621/340939318894*c_1100_2^8 + 183417264865/170469659447*c_1100_2^7 + 186738843422/170469659447*c_1100_2^6 + 78509932682/170469659447*c_1100_2^5 - 238063996977/340939318894*c_1100_2^4 - 671561962187/681878637788*c_1100_2^3 - 25751107564/170469659447*c_1100_2^2 - 148526023623/170469659447*c_1100_2 + 24258110167/170469659447, c_0011_3 - 4391453453/170469659447*c_1100_2^11 + 18133153505/340939318894*c_1100_2^10 - 55759407143/170469659447*c_1100_2^9 + 51167433478/170469659447*c_1100_2^8 - 155870346545/170469659447*c_1100_2^7 - 151331101995/170469659447*c_1100_2^6 - 74832200952/170469659447*c_1100_2^5 + 91024531514/170469659447*c_1100_2^4 + 141292499938/170469659447*c_1100_2^3 - 401044744359/340939318894*c_1100_2^2 + 261099001843/170469659447*c_1100_2 + 103455334214/170469659447, c_0011_5 - 6280444337/340939318894*c_1100_2^11 + 14801595591/340939318894*c_1100_2^10 - 40134831979/170469659447*c_1100_2^9 + 45436664887/170469659447*c_1100_2^8 - 101580368655/170469659447*c_1100_2^7 - 94061493795/170469659447*c_1100_2^6 + 50034987394/170469659447*c_1100_2^5 + 94453090350/170469659447*c_1100_2^4 + 366553705533/340939318894*c_1100_2^3 - 558928971733/340939318894*c_1100_2^2 + 49222655786/170469659447*c_1100_2 - 51175130147/170469659447, c_0101_0 + 7919597543/681878637788*c_1100_2^11 - 2708567487/170469659447*c_1100_2^10 + 22093013672/170469659447*c_1100_2^9 - 8348837387/340939318894*c_1100_2^8 + 49706414210/170469659447*c_1100_2^7 + 133485953320/170469659447*c_1100_2^6 + 57269608200/170469659447*c_1100_2^5 + 67583633203/340939318894*c_1100_2^4 - 421863629521/681878637788*c_1100_2^3 + 109300931944/170469659447*c_1100_2^2 - 94781308773/170469659447*c_1100_2 - 211876346057/170469659447, c_0101_1 - 1, c_0101_10 + 2441362084/170469659447*c_1100_2^11 - 10333586769/340939318894*c_1100_2^10 + 31193170941/170469659447*c_1100_2^9 - 34656065571/170469659447*c_1100_2^8 + 98800268459/170469659447*c_1100_2^7 + 14809872460/170469659447*c_1100_2^6 + 119415627458/170469659447*c_1100_2^5 - 282674783217/170469659447*c_1100_2^4 - 75539768307/170469659447*c_1100_2^3 - 186053747057/340939318894*c_1100_2^2 + 82682124153/170469659447*c_1100_2 + 24869082379/170469659447, c_0101_2 + 7919597543/681878637788*c_1100_2^11 - 2708567487/170469659447*c_1100_2^10 + 22093013672/170469659447*c_1100_2^9 - 8348837387/340939318894*c_1100_2^8 + 49706414210/170469659447*c_1100_2^7 + 133485953320/170469659447*c_1100_2^6 + 57269608200/170469659447*c_1100_2^5 + 67583633203/340939318894*c_1100_2^4 - 421863629521/681878637788*c_1100_2^3 + 109300931944/170469659447*c_1100_2^2 - 94781308773/170469659447*c_1100_2 - 41406686610/170469659447, c_0101_5 - 9646216269/681878637788*c_1100_2^11 + 12716018531/340939318894*c_1100_2^10 - 33666393471/170469659447*c_1100_2^9 + 93986029569/340939318894*c_1100_2^8 - 106163932335/170469659447*c_1100_2^7 - 17845148675/170469659447*c_1100_2^6 - 17562592752/170469659447*c_1100_2^5 + 249632696231/340939318894*c_1100_2^4 + 143306370231/681878637788*c_1100_2^3 - 182442880471/340939318894*c_1100_2^2 + 166317693070/170469659447*c_1100_2 - 108421011843/170469659447, c_0101_9 - 6280444337/340939318894*c_1100_2^11 + 14801595591/340939318894*c_1100_2^10 - 40134831979/170469659447*c_1100_2^9 + 45436664887/170469659447*c_1100_2^8 - 101580368655/170469659447*c_1100_2^7 - 94061493795/170469659447*c_1100_2^6 + 50034987394/170469659447*c_1100_2^5 + 94453090350/170469659447*c_1100_2^4 + 366553705533/340939318894*c_1100_2^3 - 558928971733/340939318894*c_1100_2^2 + 49222655786/170469659447*c_1100_2 - 51175130147/170469659447, c_1100_2^12 - 2*c_1100_2^11 + 12*c_1100_2^10 - 10*c_1100_2^9 + 28*c_1100_2^8 + 40*c_1100_2^7 - 46*c_1100_2^5 - 55*c_1100_2^4 + 34*c_1100_2^3 - 8*c_1100_2^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB