Magma V2.19-8 Tue Aug 20 2013 23:57:23 on localhost [Seed = 1966284202] Type ? for help. Type -D to quit. Loading file "L14n32703__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32703 geometric_solution 10.41834119 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909034861342 0.679200744948 0 2 5 4 0132 0213 0132 0132 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 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 0.882410406231 0.641282096880 5 0 1 0 1023 0132 0213 1023 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 -1 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352092741525 0.657185495840 6 7 8 0 0132 0132 0132 0132 1 1 1 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 0 -1 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215293915394 0.359258835169 6 9 1 10 2103 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222064965947 2.083908637821 7 2 11 1 2031 1023 0132 0132 1 1 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 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 0.492873167206 1.236405637195 3 8 4 11 0132 1023 2103 1230 1 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 0 0 0 0 0 0 0 -1 0 0 1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452913247409 0.594582032546 11 3 5 10 1230 0132 1302 3120 1 1 0 1 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 -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 -0.009459498697 1.003710204995 6 10 9 3 1023 3120 1302 0132 1 1 0 1 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 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 1.549865837881 1.092702009463 8 4 9 9 2031 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098818402945 0.530836684999 7 8 4 11 3120 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177398558311 0.826240103823 6 7 10 5 3012 3012 0132 0132 1 1 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 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 0.134978258800 0.364724378229 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0110_9']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : negation(d['c_0110_9']), 'c_1001_8' : d['c_0110_9'], 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : d['c_0011_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_9'], 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0101_9']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_2'], 'c_1010_4' : negation(d['c_0110_9']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_9'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0011_11']})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_9, c_0110_2, c_0110_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1395681085033/1535782033863*c_1100_1^6 - 7990055133556/1535782033863*c_1100_1^5 - 28365405168812/1535782033863*c_1100_1^4 - 69598899117442/1535782033863*c_1100_1^3 - 50734046682455/1535782033863*c_1100_1^2 - 16051334362045/1535782033863*c_1100_1 - 1291865934188/1535782033863, c_0011_0 - 1, c_0011_10 - 333/349*c_1100_1^6 - 2223/349*c_1100_1^5 - 8413/349*c_1100_1^4 - 22163/349*c_1100_1^3 - 24962/349*c_1100_1^2 - 8593/349*c_1100_1 - 1657/349, c_0011_11 + 956/349*c_1100_1^6 + 5118/349*c_1100_1^5 + 17595/349*c_1100_1^4 + 41485/349*c_1100_1^3 + 20563/349*c_1100_1^2 + 6142/349*c_1100_1 + 372/349, c_0011_3 - 1, c_0011_4 - 564/349*c_1100_1^6 - 3218/349*c_1100_1^5 - 11347/349*c_1100_1^4 - 27649/349*c_1100_1^3 - 19288/349*c_1100_1^2 - 4653/349*c_1100_1 - 310/349, c_0101_0 - 564/349*c_1100_1^6 - 3218/349*c_1100_1^5 - 11347/349*c_1100_1^4 - 27649/349*c_1100_1^3 - 19288/349*c_1100_1^2 - 5002/349*c_1100_1 - 659/349, c_0101_1 - 890/349*c_1100_1^6 - 5083/349*c_1100_1^5 - 18053/349*c_1100_1^4 - 44305/349*c_1100_1^3 - 32355/349*c_1100_1^2 - 11356/349*c_1100_1 - 1754/349, c_0101_10 + 338/349*c_1100_1^6 + 1681/349*c_1100_1^5 + 5544/349*c_1100_1^4 + 12336/349*c_1100_1^3 + 1849/349*c_1100_1^2 - 178/349*c_1100_1 - 584/349, c_0101_9 + 639/349*c_1100_1^6 + 3464/349*c_1100_1^5 + 11937/349*c_1100_1^4 + 28220/349*c_1100_1^3 + 14613/349*c_1100_1^2 + 2916/349*c_1100_1 - 150/349, c_0110_2 + 491/349*c_1100_1^6 + 2825/349*c_1100_1^5 + 10098/349*c_1100_1^4 + 24962/349*c_1100_1^3 + 19185/349*c_1100_1^2 + 7628/349*c_1100_1 + 1130/349, c_0110_9 + 257/349*c_1100_1^6 + 1527/349*c_1100_1^5 + 5535/349*c_1100_1^4 + 13925/349*c_1100_1^3 + 12133/349*c_1100_1^2 + 5174/349*c_1100_1 + 1239/349, c_1100_1^7 + 6*c_1100_1^6 + 22*c_1100_1^5 + 56*c_1100_1^4 + 52*c_1100_1^3 + 26*c_1100_1^2 + 7*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB