Magma V2.19-8 Tue Aug 20 2013 17:56:18 on localhost [Seed = 3035955335] Type ? for help. Type -D to quit. Loading file "10^2_172__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_172 geometric_solution 11.21124683 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 1 0 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 -1 1 -1 0 1 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647584532424 1.413978605968 0 0 4 3 0132 1230 0132 1230 0 0 1 1 0 -1 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 -1 1 0 1 0 -1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165957207631 0.665861639703 5 0 4 5 0132 0132 3012 2031 1 0 1 1 0 0 0 0 0 0 -1 1 -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 -1 1 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389568860181 0.608685051675 1 4 0 6 3012 3012 0132 0132 1 0 0 1 0 0 0 0 0 0 1 -1 -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 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 0.462184428405 0.271558810437 3 2 7 1 1230 1230 0132 0132 0 0 1 1 0 1 0 -1 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 1 0 -1 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 0.122664883044 1.080001763637 2 2 8 6 0132 1302 0132 2103 0 0 1 1 0 -1 1 0 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 -1 1 0 0 0 0 0 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.254073020868 1.165479709102 7 9 3 5 2031 0132 0132 2103 1 0 0 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 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 0.422253185242 0.676546482381 10 9 6 4 0132 3201 1302 0132 0 0 1 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 0 0 0 0 0.935291076002 0.501459981063 11 11 9 5 0132 1230 1302 0132 0 0 1 0 0 0 1 -1 -1 0 0 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 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 0.408152955684 1.016784299898 8 6 7 10 2031 0132 2310 3012 1 0 0 0 0 0 0 0 -1 0 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 -1 0 1 -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 0.791683100126 0.662667402056 7 11 9 11 0132 2103 1230 0213 0 0 0 1 0 1 -1 0 1 0 0 -1 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 1 0 0 -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 0.659996963238 0.847010281031 8 10 8 10 0132 2103 3012 0213 0 0 0 1 0 1 -1 0 1 0 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659996963238 0.847010281031 ==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' : d['c_0011_10'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : d['c_0110_9'], 'c_1010_11' : d['c_0110_9'], 'c_1010_10' : negation(d['c_0110_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_9']), 'c_1100_10' : d['c_0110_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : negation(d['c_1001_4']), 'c_1010_5' : d['c_1001_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0101_11'], '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' : negation(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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_9']), '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_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_4, c_0011_6, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_9, c_0110_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4897660501/224856000*c_1001_4^13 + 29433508963/224856000*c_1001_4^12 + 3078066589/12492000*c_1001_4^11 - 1909429991/18738000*c_1001_4^10 - 76735276177/56214000*c_1001_4^9 - 326953422343/112428000*c_1001_4^8 - 13422568643/7026750*c_1001_4^7 + 47152456349/11242800*c_1001_4^6 + 317660173547/28107000*c_1001_4^5 + 71183170609/5621400*c_1001_4^4 + 30362072179/3123000*c_1001_4^3 + 61442202919/9369000*c_1001_4^2 + 94909400963/28107000*c_1001_4 + 25981423093/28107000, c_0011_0 - 1, c_0011_10 - 6461/8675*c_1001_4^13 - 58761/17350*c_1001_4^12 - 113763/34700*c_1001_4^11 + 159449/17350*c_1001_4^10 + 1189427/34700*c_1001_4^9 + 409246/8675*c_1001_4^8 - 113114/8675*c_1001_4^7 - 240426/1735*c_1001_4^6 - 3181647/17350*c_1001_4^5 - 446089/3470*c_1001_4^4 - 765243/8675*c_1001_4^3 - 435916/8675*c_1001_4^2 - 107544/8675*c_1001_4 + 32391/8675, c_0011_3 - 1, c_0011_4 + 60901/138800*c_1001_4^13 + 263063/138800*c_1001_4^12 + 121401/69400*c_1001_4^11 - 44987/8675*c_1001_4^10 - 668127/34700*c_1001_4^9 - 1814143/69400*c_1001_4^8 + 134753/17350*c_1001_4^7 + 531619/6940*c_1001_4^6 + 894161/8675*c_1001_4^5 + 129047/1735*c_1001_4^4 + 852561/17350*c_1001_4^3 + 483357/17350*c_1001_4^2 + 93463/17350*c_1001_4 - 48907/17350, c_0011_6 + 20721/69400*c_1001_4^13 + 82023/69400*c_1001_4^12 + 6974/8675*c_1001_4^11 - 126341/34700*c_1001_4^10 - 101021/8675*c_1001_4^9 - 489103/34700*c_1001_4^8 + 75038/8675*c_1001_4^7 + 162149/3470*c_1001_4^6 + 470337/8675*c_1001_4^5 + 131683/3470*c_1001_4^4 + 245556/8675*c_1001_4^3 + 129222/8675*c_1001_4^2 + 29948/8675*c_1001_4 - 5997/8675, c_0101_10 + 144003/138800*c_1001_4^13 + 625889/138800*c_1001_4^12 + 269103/69400*c_1001_4^11 - 450869/34700*c_1001_4^10 - 1570331/34700*c_1001_4^9 - 4097979/69400*c_1001_4^8 + 425259/17350*c_1001_4^7 + 1279377/6940*c_1001_4^6 + 1985858/8675*c_1001_4^5 + 267636/1735*c_1001_4^4 + 1857783/17350*c_1001_4^3 + 1021371/17350*c_1001_4^2 + 192489/17350*c_1001_4 - 91971/17350, c_0101_11 + 144003/138800*c_1001_4^13 + 625889/138800*c_1001_4^12 + 269103/69400*c_1001_4^11 - 450869/34700*c_1001_4^10 - 1570331/34700*c_1001_4^9 - 4097979/69400*c_1001_4^8 + 425259/17350*c_1001_4^7 + 1279377/6940*c_1001_4^6 + 1985858/8675*c_1001_4^5 + 267636/1735*c_1001_4^4 + 1857783/17350*c_1001_4^3 + 1021371/17350*c_1001_4^2 + 192489/17350*c_1001_4 - 91971/17350, c_0101_2 + 60901/138800*c_1001_4^13 + 263063/138800*c_1001_4^12 + 121401/69400*c_1001_4^11 - 44987/8675*c_1001_4^10 - 668127/34700*c_1001_4^9 - 1814143/69400*c_1001_4^8 + 134753/17350*c_1001_4^7 + 531619/6940*c_1001_4^6 + 894161/8675*c_1001_4^5 + 129047/1735*c_1001_4^4 + 852561/17350*c_1001_4^3 + 483357/17350*c_1001_4^2 + 93463/17350*c_1001_4 - 31557/17350, c_0101_6 + 60901/138800*c_1001_4^13 + 263063/138800*c_1001_4^12 + 121401/69400*c_1001_4^11 - 44987/8675*c_1001_4^10 - 668127/34700*c_1001_4^9 - 1814143/69400*c_1001_4^8 + 134753/17350*c_1001_4^7 + 531619/6940*c_1001_4^6 + 894161/8675*c_1001_4^5 + 129047/1735*c_1001_4^4 + 852561/17350*c_1001_4^3 + 483357/17350*c_1001_4^2 + 93463/17350*c_1001_4 - 48907/17350, c_0101_9 - 1329/5552*c_1001_4^13 - 6275/5552*c_1001_4^12 - 3169/2776*c_1001_4^11 + 1029/347*c_1001_4^10 + 7853/694*c_1001_4^9 + 44681/2776*c_1001_4^8 - 2305/694*c_1001_4^7 - 63119/1388*c_1001_4^6 - 21356/347*c_1001_4^5 - 31981/694*c_1001_4^4 - 23535/694*c_1001_4^3 - 12753/694*c_1001_4^2 - 3067/694*c_1001_4 + 819/694, c_0110_9 - 72761/138800*c_1001_4^13 - 305343/138800*c_1001_4^12 - 124211/69400*c_1001_4^11 + 222503/34700*c_1001_4^10 + 766697/34700*c_1001_4^9 + 1972073/69400*c_1001_4^8 - 223433/17350*c_1001_4^7 - 620129/6940*c_1001_4^6 - 964621/8675*c_1001_4^5 - 131877/1735*c_1001_4^4 - 859471/17350*c_1001_4^3 - 464827/17350*c_1001_4^2 - 90193/17350*c_1001_4 + 40777/17350, c_1001_4^14 + 6*c_1001_4^13 + 11*c_1001_4^12 - 6*c_1001_4^11 - 64*c_1001_4^10 - 130*c_1001_4^9 - 74*c_1001_4^8 + 212*c_1001_4^7 + 516*c_1001_4^6 + 528*c_1001_4^5 + 368*c_1001_4^4 + 240*c_1001_4^3 + 112*c_1001_4^2 + 16*c_1001_4 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB