Magma V2.19-8 Tue Aug 20 2013 23:47:37 on localhost [Seed = 1478373896] Type ? for help. Type -D to quit. Loading file "L11a274__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a274 geometric_solution 10.67815703 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 -1 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 -1 2 -1 -1 0 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403459955665 1.244087002039 0 2 4 3 0132 2310 0132 0132 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 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 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.049658578344 0.742769585524 5 3 0 1 0132 1023 0132 3201 0 0 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 0 0 0 0 0 1 -1 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 0.049658578344 0.742769585524 2 6 1 5 1023 0132 0132 0132 1 0 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 -1 1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.681338039825 1.199041049077 7 6 8 1 0132 0321 0132 0132 1 0 0 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 0 0 0 0 0 0 0 -1 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.075210350656 0.914657255865 2 9 3 10 0132 0132 0132 0132 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 -1 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 0.568873062380 0.786698886080 11 3 9 4 0132 0132 0132 0321 1 1 0 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 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339023975294 0.196944644934 4 11 10 9 0132 0213 2103 1302 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 -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 0.590797616241 1.135376159115 10 11 10 4 1302 1302 0132 0132 1 0 1 1 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 0 1 -1 1 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555474244759 0.649255999749 11 5 7 6 1023 0132 2031 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 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 0.131621413679 0.796931565715 7 8 5 8 2103 2031 0132 0132 1 0 1 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 0 0 0 0 -1 -3 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555474244759 0.649255999749 6 9 7 8 0132 1023 0213 2031 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 0 1 -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 0.603483259487 2.027828331564 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0011_8'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_4'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1001_4'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_4']), 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_1100_1'], '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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_8'], '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_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_1001_4, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 9300282180475/3839221705984*c_1100_1^15 + 52999187734901/3839221705984*c_1100_1^14 + 76389728243243/3839221705984*c_1100_1^13 - 76356060913247/3839221705984*c_1100_1^12 - 104117243490307/1919610852992*c_1100_1^11 + 20836979305679/959805426496*c_1100_1^10 + 351878925262849/3839221705984*c_1100_1^9 - 4586072528421/3839221705984*c_1100_1^8 - 258679903134053/1919610852992*c_1100_1^7 - 121512160423733/1919610852992*c_1100_1^6 + 510113561443735/3839221705984*c_1100_1^5 + 168294958824193/3839221705984*c_1100_1^4 - 188527014498103/1919610852992*c_1100_1^3 - 29094773896445/274230121856*c_1100_1^2 + 15698232084501/959805426496*c_1100_1 + 6571386257533/959805426496, c_0011_0 - 1, c_0011_10 - 257996542/2142422827*c_1100_1^15 - 1596331755/2142422827*c_1100_1^14 - 5525011197/4284845654*c_1100_1^13 + 3248867421/4284845654*c_1100_1^12 + 16682726539/4284845654*c_1100_1^11 + 5389943619/4284845654*c_1100_1^10 - 9242663249/2142422827*c_1100_1^9 - 5023218685/2142422827*c_1100_1^8 + 23315940477/4284845654*c_1100_1^7 + 24406855501/4284845654*c_1100_1^6 - 11234697423/2142422827*c_1100_1^5 - 15809202016/2142422827*c_1100_1^4 + 425185817/4284845654*c_1100_1^3 + 18091245561/4284845654*c_1100_1^2 + 4448210167/2142422827*c_1100_1 - 674173273/2142422827, c_0011_11 - c_1100_1, c_0011_4 + 30825649/2142422827*c_1100_1^15 + 529483631/4284845654*c_1100_1^14 + 768432798/2142422827*c_1100_1^13 + 555631599/2142422827*c_1100_1^12 - 1252323311/2142422827*c_1100_1^11 - 4246655929/4284845654*c_1100_1^10 + 52998627/2142422827*c_1100_1^9 + 3850163975/4284845654*c_1100_1^8 + 91285722/2142422827*c_1100_1^7 - 8007350119/4284845654*c_1100_1^6 - 1402659497/2142422827*c_1100_1^5 + 11159956197/4284845654*c_1100_1^4 + 2996193455/2142422827*c_1100_1^3 - 1393499341/4284845654*c_1100_1^2 - 3555335551/2142422827*c_1100_1 + 476685003/2142422827, c_0011_8 + 98744135/4284845654*c_1100_1^15 + 69061512/2142422827*c_1100_1^14 - 1675738529/4284845654*c_1100_1^13 - 4580610411/4284845654*c_1100_1^12 + 748275352/2142422827*c_1100_1^11 + 13190638567/4284845654*c_1100_1^10 + 4204355875/4284845654*c_1100_1^9 - 8103479137/2142422827*c_1100_1^8 - 5023647330/2142422827*c_1100_1^7 + 18758793441/4284845654*c_1100_1^6 + 19855550107/4284845654*c_1100_1^5 - 9971265275/2142422827*c_1100_1^4 - 9686131175/2142422827*c_1100_1^3 + 2467807327/4284845654*c_1100_1^2 + 7460175895/2142422827*c_1100_1 + 892874616/2142422827, c_0101_0 - 97348555/4284845654*c_1100_1^15 - 317104874/2142422827*c_1100_1^14 - 1382560247/4284845654*c_1100_1^13 - 531580727/4284845654*c_1100_1^12 + 1072451415/2142422827*c_1100_1^11 + 2922799457/4284845654*c_1100_1^10 + 46257985/4284845654*c_1100_1^9 - 1125976743/2142422827*c_1100_1^8 + 329277531/2142422827*c_1100_1^7 + 4091081545/4284845654*c_1100_1^6 + 1626477521/4284845654*c_1100_1^5 - 1325306017/2142422827*c_1100_1^4 - 1826853359/2142422827*c_1100_1^3 - 1330185131/4284845654*c_1100_1^2 - 829746939/2142422827*c_1100_1 + 1449009446/2142422827, c_0101_1 - 97348555/4284845654*c_1100_1^15 - 317104874/2142422827*c_1100_1^14 - 1382560247/4284845654*c_1100_1^13 - 531580727/4284845654*c_1100_1^12 + 1072451415/2142422827*c_1100_1^11 + 2922799457/4284845654*c_1100_1^10 + 46257985/4284845654*c_1100_1^9 - 1125976743/2142422827*c_1100_1^8 + 329277531/2142422827*c_1100_1^7 + 4091081545/4284845654*c_1100_1^6 + 1626477521/4284845654*c_1100_1^5 - 1325306017/2142422827*c_1100_1^4 - 1826853359/2142422827*c_1100_1^3 - 1330185131/4284845654*c_1100_1^2 + 1312675888/2142422827*c_1100_1 + 1449009446/2142422827, c_0101_4 - 158482607/4284845654*c_1100_1^15 - 511781287/2142422827*c_1100_1^14 - 1047293915/2142422827*c_1100_1^13 - 91162740/2142422827*c_1100_1^12 + 4512192917/4284845654*c_1100_1^11 + 2253724436/2142422827*c_1100_1^10 - 2145718663/4284845654*c_1100_1^9 - 2837152990/2142422827*c_1100_1^8 + 2046343787/4284845654*c_1100_1^7 + 4697015756/2142422827*c_1100_1^6 + 2729731895/4284845654*c_1100_1^5 - 3627848673/2142422827*c_1100_1^4 - 10640631919/4284845654*c_1100_1^3 + 1434482577/2142422827*c_1100_1^2 + 3786129383/2142422827*c_1100_1 + 2437356773/2142422827, c_0101_5 + 1, c_1001_4 + 888634201/4284845654*c_1100_1^15 + 2477443346/2142422827*c_1100_1^14 + 7016819121/4284845654*c_1100_1^13 - 6852951921/4284845654*c_1100_1^12 - 10164988517/2142422827*c_1100_1^11 - 1857485401/4284845654*c_1100_1^10 + 20401539089/4284845654*c_1100_1^9 + 4177459081/2142422827*c_1100_1^8 - 15227418597/2142422827*c_1100_1^7 - 27109716993/4284845654*c_1100_1^6 + 32675034301/4284845654*c_1100_1^5 + 12531472330/2142422827*c_1100_1^4 + 4459008533/2142422827*c_1100_1^3 - 24093485347/4284845654*c_1100_1^2 - 3427430428/2142422827*c_1100_1 - 2500002381/2142422827, c_1001_5 + 147466973/4284845654*c_1100_1^15 + 1043284445/4284845654*c_1100_1^14 + 1249116152/2142422827*c_1100_1^13 + 604892996/2142422827*c_1100_1^12 - 4094216737/4284845654*c_1100_1^11 - 5986862647/4284845654*c_1100_1^10 + 64027291/4284845654*c_1100_1^9 + 5389992069/4284845654*c_1100_1^8 - 76905967/4284845654*c_1100_1^7 - 9124758491/4284845654*c_1100_1^6 - 4232687457/4284845654*c_1100_1^5 + 5233484647/4284845654*c_1100_1^4 + 8877834049/4284845654*c_1100_1^3 + 4741952999/4284845654*c_1100_1^2 - 2761685334/2142422827*c_1100_1 - 3786129383/2142422827, c_1100_1^16 + 6*c_1100_1^15 + 10*c_1100_1^14 - 6*c_1100_1^13 - 29*c_1100_1^12 - 10*c_1100_1^11 + 31*c_1100_1^10 + 22*c_1100_1^9 - 39*c_1100_1^8 - 48*c_1100_1^7 + 35*c_1100_1^6 + 54*c_1100_1^5 + 11*c_1100_1^4 - 40*c_1100_1^3 - 18*c_1100_1^2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB