Magma V2.19-8 Wed Aug 21 2013 00:59:18 on localhost [Seed = 4223525029] Type ? for help. Type -D to quit. Loading file "L13n6794__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6794 geometric_solution 12.21631478 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 2 0 0 0 -1 1 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 -1 1 0 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643167053119 0.726879016029 0 5 7 6 0132 0132 0132 0132 2 2 0 2 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 -7 0 7 -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 0.798537423149 1.015874966383 8 0 9 6 0132 0132 0132 2031 1 2 0 2 0 0 1 -1 -1 0 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 0 0 1 -1 0 8 0 -8 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 0.491548297777 0.758793684238 8 5 10 0 2031 1230 0132 0132 1 2 0 2 0 0 -1 1 0 0 0 0 0 1 0 -1 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 -1 0 1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753022130805 0.674258316349 7 5 0 11 0132 1302 0132 0132 1 2 2 2 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976953896590 0.652435458369 12 1 3 4 0132 0132 3012 2031 2 1 2 0 0 -1 0 1 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 7 0 -7 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 0.142941145717 0.784446077309 12 2 1 11 3012 1302 0132 2103 2 2 1 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 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609441680528 0.909507227677 4 10 8 1 0132 2031 1230 0132 2 2 2 2 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 -1 1 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566003856080 0.253469194419 2 12 3 7 0132 0132 1302 3012 2 2 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 0 0 0 0 0 0 0 0 -8 0 8 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 0.305721670042 1.097837609958 11 12 10 2 0213 1230 0321 0132 1 2 2 2 0 0 1 -1 0 0 1 -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 -1 1 0 0 -8 8 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187828287292 0.947124066520 7 11 9 3 1302 0132 0321 0132 1 2 2 2 0 0 -1 1 -1 0 1 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 1 -1 7 0 -8 1 0 8 0 -8 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623057593679 0.483842769424 9 10 4 6 0213 0132 0132 2103 1 2 2 2 0 0 -1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 7 0 -7 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735407661204 0.632610789096 5 8 9 6 0132 0132 3012 1230 2 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643167053119 0.726879016029 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_10'], 'c_1100_8' : d['c_0101_3'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_11']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_1001_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_1001_10']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : negation(d['c_0011_9']), 's_3_1' : negation(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'], 'c_1100_12' : d['c_0110_6'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_3, c_0110_6, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 15478037121/306979*c_1001_11^6 - 680144410681/2455832*c_1001_11^5 + 3116123965613/4911664*c_1001_11^4 - 2616566374961/4911664*c_1001_11^3 + 202594311983/2455832*c_1001_11^2 + 299825698077/4911664*c_1001_11 + 21040464129/613958, c_0011_0 - 1, c_0011_10 + 581752/306979*c_1001_11^6 - 2993127/306979*c_1001_11^5 + 12509063/613958*c_1001_11^4 - 7612553/613958*c_1001_11^3 - 1011106/306979*c_1001_11^2 + 2433857/613958*c_1001_11 + 347083/306979, c_0011_3 - 402748/306979*c_1001_11^6 + 4076279/613958*c_1001_11^5 - 16820699/1227916*c_1001_11^4 + 9750867/1227916*c_1001_11^3 + 1214605/613958*c_1001_11^2 - 3670739/1227916*c_1001_11 - 256448/306979, c_0011_6 - 1, c_0011_9 - 1, c_0101_0 + 663252/306979*c_1001_11^6 - 7245821/613958*c_1001_11^5 + 32355005/1227916*c_1001_11^4 - 24375507/1227916*c_1001_11^3 - 423160/306979*c_1001_11^2 + 5622573/1227916*c_1001_11 + 869393/613958, c_0101_1 - 1, c_0101_12 + 401040/306979*c_1001_11^6 - 2281794/306979*c_1001_11^5 + 5425733/306979*c_1001_11^4 - 5047641/306979*c_1001_11^3 + 1322600/306979*c_1001_11^2 + 491839/306979*c_1001_11 - 212064/306979, c_0101_2 + 340920/306979*c_1001_11^6 - 1587007/306979*c_1001_11^5 + 5450587/613958*c_1001_11^4 - 255435/613958*c_1001_11^3 - 2136152/306979*c_1001_11^2 + 1630943/613958*c_1001_11 + 473917/306979, c_0101_3 + 17088/306979*c_1001_11^6 - 322968/306979*c_1001_11^5 + 1373420/306979*c_1001_11^4 - 2609402/306979*c_1001_11^3 + 1328545/306979*c_1001_11^2 + 396974/306979*c_1001_11 - 292647/306979, c_0110_6 - 567456/306979*c_1001_11^6 + 3054052/306979*c_1001_11^5 - 6653056/306979*c_1001_11^4 + 4402993/306979*c_1001_11^3 + 1361313/306979*c_1001_11^2 - 1720960/306979*c_1001_11 - 593208/306979, c_1001_10 + 240832/306979*c_1001_11^6 - 1406120/306979*c_1001_11^5 + 3529238/306979*c_1001_11^4 - 3678559/306979*c_1001_11^3 + 1125046/306979*c_1001_11^2 + 708436/306979*c_1001_11 - 126834/306979, c_1001_11^7 - 41/8*c_1001_11^6 + 169/16*c_1001_11^5 - 95/16*c_1001_11^4 - 9/4*c_1001_11^3 + 29/16*c_1001_11^2 + 9/8*c_1001_11 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB