Magma V2.19-8 Tue Aug 20 2013 23:56:24 on localhost [Seed = 38038032] Type ? for help. Type -D to quit. Loading file "L14n20559__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20559 geometric_solution 10.75904664 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 -1 2 -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 0 1 -1 1 0 -1 0 -5 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452457476763 0.449859757490 0 5 6 2 0132 0132 0132 2103 0 1 0 1 0 -2 2 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 -1 0 0 1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768177402796 0.365433762238 7 0 7 1 0132 0132 3012 2103 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 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229820673646 0.989833657537 7 8 5 0 2031 0132 0132 0132 0 1 0 1 0 0 2 -2 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 0 1 -1 0 0 -1 1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282848985241 0.670642292486 9 5 0 10 0132 3012 0132 0132 0 1 1 1 0 0 1 -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 1 -1 0 0 0 0 0 1 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.113332650301 2.001584935192 4 1 8 3 1230 0132 3120 0132 0 1 1 0 0 2 0 -2 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 -1 0 0 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871826823436 0.818245568916 9 8 10 1 3120 0321 0213 0132 0 1 1 1 0 0 2 -2 0 0 0 0 0 0 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 0.143047538084 0.516315298320 2 2 3 11 0132 1230 1302 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 -1 0 5 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489641032266 0.629286138000 10 3 5 6 3120 0132 3120 0321 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871826823436 0.818245568916 4 11 11 6 0132 2310 3012 3120 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971802092512 0.498007473420 11 6 4 8 0213 0213 0132 3120 0 1 1 1 0 -2 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 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 0.594258740486 0.447679430242 10 9 7 9 0213 1230 0132 3201 1 1 1 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 4 -4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.073521197051 0.808727453391 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : 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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_6'], 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_5'])})} 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_0011_6, c_0101_0, c_0101_1, c_0101_5, c_0101_8, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 3377029559/91179843584*c_1001_1^12 + 5807443669/68384882688*c_1001_1^11 - 4968140415/91179843584*c_1001_1^10 - 39609250453/273539530752*c_1001_1^9 - 18920184973/68384882688*c_1001_1^8 - 8081634007/8548110336*c_1001_1^7 - 177722172427/136769765376*c_1001_1^6 - 456362431021/273539530752*c_1001_1^5 - 75403458465/45589921792*c_1001_1^4 - 219637503253/136769765376*c_1001_1^3 - 5334821953/5698740224*c_1001_1^2 - 124935888125/273539530752*c_1001_1 - 17706107963/136769765376, c_0011_0 - 1, c_0011_10 + 39389/957296*c_1001_1^12 + 71721/239324*c_1001_1^11 + 184971/957296*c_1001_1^10 - 501981/957296*c_1001_1^9 + 94251/239324*c_1001_1^8 - 107029/59831*c_1001_1^7 - 2797563/478648*c_1001_1^6 - 3029029/957296*c_1001_1^5 - 3684371/478648*c_1001_1^4 - 3898117/478648*c_1001_1^3 - 345790/59831*c_1001_1^2 - 1345349/957296*c_1001_1 - 692387/478648, c_0011_11 - 209337/478648*c_1001_1^12 - 69341/119662*c_1001_1^11 + 437281/478648*c_1001_1^10 - 519263/478648*c_1001_1^9 + 148541/119662*c_1001_1^8 + 604570/59831*c_1001_1^7 + 1369351/239324*c_1001_1^6 + 7037601/478648*c_1001_1^5 + 4403855/239324*c_1001_1^4 + 4044841/239324*c_1001_1^3 + 572672/59831*c_1001_1^2 + 2633873/478648*c_1001_1 + 694791/239324, c_0011_3 + 867/57152*c_1001_1^12 - 1981/14288*c_1001_1^11 - 15563/57152*c_1001_1^10 + 13389/57152*c_1001_1^9 - 5387/14288*c_1001_1^8 + 811/1786*c_1001_1^7 + 93139/28576*c_1001_1^6 + 136677/57152*c_1001_1^5 + 182731/28576*c_1001_1^4 + 179981/28576*c_1001_1^3 + 24551/3572*c_1001_1^2 + 204021/57152*c_1001_1 + 74755/28576, c_0011_4 - 179249/957296*c_1001_1^12 - 4421/239324*c_1001_1^11 + 605673/957296*c_1001_1^10 - 867871/957296*c_1001_1^9 + 311517/239324*c_1001_1^8 + 189756/59831*c_1001_1^7 - 1134761/478648*c_1001_1^6 + 3789785/957296*c_1001_1^5 - 425849/478648*c_1001_1^4 + 66929/478648*c_1001_1^3 - 270518/59831*c_1001_1^2 - 92183/957296*c_1001_1 - 494577/478648, c_0011_6 - 130235/478648*c_1001_1^12 - 48489/119662*c_1001_1^11 + 243211/478648*c_1001_1^10 - 269653/478648*c_1001_1^9 + 72939/119662*c_1001_1^8 + 382222/59831*c_1001_1^7 + 1191133/239324*c_1001_1^6 + 4470987/478648*c_1001_1^5 + 3095189/239324*c_1001_1^4 + 3121923/239324*c_1001_1^3 + 332714/59831*c_1001_1^2 + 2250299/478648*c_1001_1 + 170637/239324, c_0101_0 + 8791/57152*c_1001_1^12 + 5655/14288*c_1001_1^11 + 3041/57152*c_1001_1^10 + 6425/57152*c_1001_1^9 - 6303/14288*c_1001_1^8 - 7445/1786*c_1001_1^7 - 180985/28576*c_1001_1^6 - 554159/57152*c_1001_1^5 - 393057/28576*c_1001_1^4 - 395463/28576*c_1001_1^3 - 38657/3572*c_1001_1^2 - 421087/57152*c_1001_1 - 76489/28576, c_0101_1 - 1, c_0101_5 + 1181/3572*c_1001_1^12 + 374/893*c_1001_1^11 - 2157/3572*c_1001_1^10 + 3295/3572*c_1001_1^9 - 1190/893*c_1001_1^8 - 6472/893*c_1001_1^7 - 8659/1786*c_1001_1^6 - 45113/3572*c_1001_1^5 - 21373/1786*c_1001_1^4 - 27181/1786*c_1001_1^3 - 4177/893*c_1001_1^2 - 11557/3572*c_1001_1 - 107/1786, c_0101_8 - 1155/14288*c_1001_1^12 - 179/3572*c_1001_1^11 + 2539/14288*c_1001_1^10 - 6861/14288*c_1001_1^9 + 1219/3572*c_1001_1^8 + 1782/893*c_1001_1^7 + 2141/7144*c_1001_1^6 + 39707/14288*c_1001_1^5 + 30637/7144*c_1001_1^4 + 24907/7144*c_1001_1^3 + 381/893*c_1001_1^2 + 42395/14288*c_1001_1 + 4829/7144, c_1001_0 - 4171/57152*c_1001_1^12 - 4939/14288*c_1001_1^11 - 13197/57152*c_1001_1^10 + 21019/57152*c_1001_1^9 + 1427/14288*c_1001_1^8 + 3881/1786*c_1001_1^7 + 172421/28576*c_1001_1^6 + 395331/57152*c_1001_1^5 + 270509/28576*c_1001_1^4 + 295835/28576*c_1001_1^3 + 37133/3572*c_1001_1^2 + 251507/57152*c_1001_1 + 57173/28576, c_1001_1^13 + 2*c_1001_1^12 - c_1001_1^11 + c_1001_1^10 - 2*c_1001_1^9 - 24*c_1001_1^8 - 30*c_1001_1^7 - 45*c_1001_1^6 - 60*c_1001_1^5 - 70*c_1001_1^4 - 44*c_1001_1^3 - 25*c_1001_1^2 - 12*c_1001_1 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB