Magma V2.19-8 Tue Aug 20 2013 23:39:54 on localhost [Seed = 1578646250] Type ? for help. Type -D to quit. Loading file "K14n2037__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2037 geometric_solution 10.08136286 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 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 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 0.274857711502 0.950860693978 0 0 5 4 0132 1230 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507104070731 0.664952708265 4 0 6 3 1023 0132 0132 3120 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 7 -1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.374330831313 0.237168859105 2 6 0 7 3120 0132 0132 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 1 -1 0 0 0 0 6 -6 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771815373135 0.766905389190 6 2 1 8 0132 1023 0132 0132 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 0 1 0 0 0 0 0 -7 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507104070731 0.664952708265 9 10 7 1 0132 0132 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515556282526 0.703466059223 4 3 9 2 0132 0132 3120 0132 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 -1 1 1 -1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.445839816616 0.814525349439 8 5 3 10 1023 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.664030672030 0.964246254430 9 7 4 9 3120 1023 0132 2031 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 -1 1 1 0 0 -1 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886956054168 1.026236072869 5 8 6 8 0132 1302 3120 3120 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 6 -7 0 0 1 -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 0.106051005030 0.962752725277 10 5 7 10 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872451958562 0.800098351429 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : d['c_0101_10'], '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' : 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_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' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0011_7'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_1']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0110_10' : negation(d['c_0101_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_0']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_6, c_0101_7, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 464747105051/151088369*c_1001_2^16 + 2914219651399/302176738*c_1001_2^15 + 207831117836/151088369*c_1001_2^14 - 4898578077217/151088369*c_1001_2^13 + 6521252047925/302176738*c_1001_2^12 + 5597028109313/151088369*c_1001_2^11 - 18377384117203/302176738*c_1001_2^10 + 7217931154914/151088369*c_1001_2^9 - 2392965018093/302176738*c_1001_2^8 - 12241944887105/151088369*c_1001_2^7 + 15030470450003/151088369*c_1001_2^6 + 413244208637/151088369*c_1001_2^5 - 7834624281771/151088369*c_1001_2^4 + 1930449114348/151088369*c_1001_2^3 - 688416896069/302176738*c_1001_2^2 + 862391275333/151088369*c_1001_2 + 819119309297/302176738, c_0011_0 - 1, c_0011_10 + 336/24209*c_1001_2^16 + 4546/24209*c_1001_2^15 - 15189/24209*c_1001_2^14 - 8156/24209*c_1001_2^13 + 61198/24209*c_1001_2^12 - 20943/24209*c_1001_2^11 - 92806/24209*c_1001_2^10 + 96351/24209*c_1001_2^9 - 32602/24209*c_1001_2^8 - 48979/24209*c_1001_2^7 + 195960/24209*c_1001_2^6 - 158227/24209*c_1001_2^5 - 111216/24209*c_1001_2^4 + 166184/24209*c_1001_2^3 - 29354/24209*c_1001_2^2 - 16688/24209*c_1001_2 + 14200/24209, c_0011_7 + c_1001_2^2 - 1, c_0101_0 - 9608/24209*c_1001_2^16 + 33705/24209*c_1001_2^15 + 14134/24209*c_1001_2^14 - 149510/24209*c_1001_2^13 + 63398/24209*c_1001_2^12 + 251298/24209*c_1001_2^11 - 259340/24209*c_1001_2^10 + 27126/24209*c_1001_2^9 + 163338/24209*c_1001_2^8 - 459492/24209*c_1001_2^7 + 358808/24209*c_1001_2^6 + 319666/24209*c_1001_2^5 - 499520/24209*c_1001_2^4 + 22866/24209*c_1001_2^3 + 135018/24209*c_1001_2^2 - 23122/24209*c_1001_2 + 27404/24209, c_0101_1 - 16169/24209*c_1001_2^16 + 25777/24209*c_1001_2^15 + 56748/24209*c_1001_2^14 - 119076/24209*c_1001_2^13 - 50411/24209*c_1001_2^12 + 209571/24209*c_1001_2^11 - 138741/24209*c_1001_2^10 + 7416/24209*c_1001_2^9 + 222825/24209*c_1001_2^8 - 409414/24209*c_1001_2^7 + 82416/24209*c_1001_2^6 + 338030/24209*c_1001_2^5 - 240340/24209*c_1001_2^4 + 16645/24209*c_1001_2^3 + 58455/24209*c_1001_2^2 - 60394/24209*c_1001_2 + 11235/24209, c_0101_10 + 336/24209*c_1001_2^16 + 4546/24209*c_1001_2^15 - 15189/24209*c_1001_2^14 - 8156/24209*c_1001_2^13 + 61198/24209*c_1001_2^12 - 20943/24209*c_1001_2^11 - 92806/24209*c_1001_2^10 + 96351/24209*c_1001_2^9 - 32602/24209*c_1001_2^8 - 48979/24209*c_1001_2^7 + 195960/24209*c_1001_2^6 - 134018/24209*c_1001_2^5 - 111216/24209*c_1001_2^4 + 117766/24209*c_1001_2^3 - 29354/24209*c_1001_2^2 + 7521/24209*c_1001_2 + 14200/24209, c_0101_5 - c_1001_2^2 + 1, c_0101_6 + 1680/24209*c_1001_2^16 - 1479/24209*c_1001_2^15 - 3318/24209*c_1001_2^14 + 7638/24209*c_1001_2^13 - 8727/24209*c_1001_2^12 - 7879/24209*c_1001_2^11 + 44359/24209*c_1001_2^10 - 26634/24209*c_1001_2^9 - 41965/24209*c_1001_2^8 + 69822/24209*c_1001_2^7 - 36978/24209*c_1001_2^6 + 7762/24209*c_1001_2^5 + 73354/24209*c_1001_2^4 - 113231/24209*c_1001_2^3 - 25725/24209*c_1001_2^2 + 61814/24209*c_1001_2 - 1627/24209, c_0101_7 + 16169/24209*c_1001_2^16 - 25777/24209*c_1001_2^15 - 56748/24209*c_1001_2^14 + 119076/24209*c_1001_2^13 + 50411/24209*c_1001_2^12 - 209571/24209*c_1001_2^11 + 138741/24209*c_1001_2^10 - 7416/24209*c_1001_2^9 - 222825/24209*c_1001_2^8 + 409414/24209*c_1001_2^7 - 82416/24209*c_1001_2^6 - 338030/24209*c_1001_2^5 + 240340/24209*c_1001_2^4 - 16645/24209*c_1001_2^3 - 58455/24209*c_1001_2^2 + 60394/24209*c_1001_2 - 11235/24209, c_1001_1 - 1680/24209*c_1001_2^16 + 1479/24209*c_1001_2^15 + 3318/24209*c_1001_2^14 - 7638/24209*c_1001_2^13 + 8727/24209*c_1001_2^12 + 7879/24209*c_1001_2^11 - 44359/24209*c_1001_2^10 + 26634/24209*c_1001_2^9 + 41965/24209*c_1001_2^8 - 69822/24209*c_1001_2^7 + 36978/24209*c_1001_2^6 - 7762/24209*c_1001_2^5 - 73354/24209*c_1001_2^4 + 113231/24209*c_1001_2^3 + 25725/24209*c_1001_2^2 - 61814/24209*c_1001_2 + 1627/24209, c_1001_2^17 - 2*c_1001_2^16 - 4*c_1001_2^15 + 10*c_1001_2^14 + 5*c_1001_2^13 - 20*c_1001_2^12 + 6*c_1001_2^11 + 7*c_1001_2^10 - 15*c_1001_2^9 + 29*c_1001_2^8 - 2*c_1001_2^7 - 38*c_1001_2^6 + 16*c_1001_2^5 + 15*c_1001_2^4 - 4*c_1001_2^3 - c_1001_2^2 - 3*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB