Magma V2.19-8 Tue Aug 20 2013 23:56:26 on localhost [Seed = 3313741269] Type ? for help. Type -D to quit. Loading file "L14n21718__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21718 geometric_solution 10.47493503 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 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 2 -1 -1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334898086646 1.195996047952 0 3 6 5 0132 3120 0132 0132 1 1 0 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 2 -2 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688227995274 0.687214776639 6 0 8 7 0132 0132 0132 0132 1 1 0 1 0 -1 1 0 -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 -2 2 0 -2 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 0.451580979263 0.749158948967 8 1 9 0 2031 3120 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.279647913434 0.366050099610 8 7 0 5 0132 2031 0132 2031 1 1 0 1 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 0 0 -1 1 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 0.603237570418 1.100508216754 10 4 1 11 0132 1302 0132 0132 1 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 0 0 0 0 0 0 0 0 -2 0 2 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 -0.024605616287 0.733504150566 2 7 10 1 0132 2103 3012 0132 1 1 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 2 0 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 0.656210204294 0.722718680870 4 6 2 9 1302 2103 0132 0321 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 -1 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 -0.186653404101 2.739074822592 4 10 3 2 0132 1302 1302 0132 1 1 1 0 0 1 0 -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 2 0 -2 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 0.602466067153 0.892425236230 11 7 11 3 0321 0321 3012 0132 1 1 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 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 1.507799057739 0.789135320840 5 6 11 8 0132 1230 1230 2031 1 1 0 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 0 0 0 0 0 0 2 0 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 0.570536272743 0.419519537647 9 9 5 10 0321 1230 0132 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 0.409084797022 1.642681049584 ==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_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : 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_1100_9' : negation(d['c_1001_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : negation(d['c_1001_11']), 'c_1100_3' : negation(d['c_1001_11']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0011_11']), '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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], '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_0011_9']), 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_1']})} 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_9, c_0101_0, c_0101_1, c_0101_10, c_1001_1, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 45237687551422527865423/873192672034827017186304*c_1001_11^9 - 428738392224298241654695/2619578016104481051558912*c_1001_11^8 - 1764515820569897499451843/1309789008052240525779456*c_1001_11^7 - 6424708831467646880579987/1309789008052240525779456*c_1001_11^6 - 4269165054135117192874781/218298168008706754296576*c_1001_11^5 - 20865104633823966454427905/327447252013060131444864*c_1001_11^4 - 183092476675131999023935477/1309789008052240525779456*c_1001_11^3 - 247268728083306188002905349/1309789008052240525779456*c_1001_11^2 - 370408871122418304889280039/2619578016104481051558912*c_1001_11 - 116433963273387707692334657/2619578016104481051558912, c_0011_0 - 1, c_0011_10 - 3049593/67549624*c_1001_11^9 - 24619781/270198496*c_1001_11^8 - 287447197/270198496*c_1001_11^7 - 825037649/270198496*c_1001_11^6 - 3624684995/270198496*c_1001_11^5 - 10787062109/270198496*c_1001_11^4 - 20158748431/270198496*c_1001_11^3 - 20320230227/270198496*c_1001_11^2 - 8212485749/270198496*c_1001_11 + 173885047/135099248, c_0011_11 + 2935425/1080793984*c_1001_11^9 + 4934255/540396992*c_1001_11^8 + 37938507/540396992*c_1001_11^7 + 72239815/270198496*c_1001_11^6 + 138056407/135099248*c_1001_11^5 + 920697665/270198496*c_1001_11^4 + 3932469489/540396992*c_1001_11^3 + 2582170243/270198496*c_1001_11^2 + 6456498463/1080793984*c_1001_11 + 95261267/540396992, c_0011_3 + 6333453/1080793984*c_1001_11^9 + 414519/540396992*c_1001_11^8 + 67680747/540396992*c_1001_11^7 + 39907771/270198496*c_1001_11^6 + 20403547/16887406*c_1001_11^5 + 640645313/270198496*c_1001_11^4 + 1264695281/540396992*c_1001_11^3 - 569909817/270198496*c_1001_11^2 - 4446841525/1080793984*c_1001_11 - 352545093/540396992, c_0011_4 + 25326723/1080793984*c_1001_11^9 + 336335/8443703*c_1001_11^8 + 293085391/540396992*c_1001_11^7 + 190870757/135099248*c_1001_11^6 + 1777162909/270198496*c_1001_11^5 + 5052654741/270198496*c_1001_11^4 + 18050212885/540396992*c_1001_11^3 + 1997428237/67549624*c_1001_11^2 + 8224674609/1080793984*c_1001_11 - 941167407/270198496, c_0011_9 + 2485473/1080793984*c_1001_11^9 + 3921103/540396992*c_1001_11^8 + 29574851/540396992*c_1001_11^7 + 14284055/67549624*c_1001_11^6 + 51288637/67549624*c_1001_11^5 + 172906149/67549624*c_1001_11^4 + 2714246593/540396992*c_1001_11^3 + 683107209/135099248*c_1001_11^2 + 1752313463/1080793984*c_1001_11 - 335770219/540396992, c_0101_0 - 310137/16887406*c_1001_11^9 - 18670363/540396992*c_1001_11^8 - 3669178/8443703*c_1001_11^7 - 321202001/270198496*c_1001_11^6 - 183667705/33774812*c_1001_11^5 - 2132706129/135099248*c_1001_11^4 - 1005433627/33774812*c_1001_11^3 - 8261234151/270198496*c_1001_11^2 - 120189281/8443703*c_1001_11 - 629583057/540396992, c_0101_1 - 1, c_0101_10 - 10326129/1080793984*c_1001_11^9 - 28672865/1080793984*c_1001_11^8 - 125410481/540396992*c_1001_11^7 - 434029587/540396992*c_1001_11^6 - 427242617/135099248*c_1001_11^5 - 2739400247/270198496*c_1001_11^4 - 10903511055/540396992*c_1001_11^3 - 11771062301/540396992*c_1001_11^2 - 9503028615/1080793984*c_1001_11 + 1569529053/1080793984, c_1001_1 + 2215833/540396992*c_1001_11^9 + 2200621/270198496*c_1001_11^8 + 52280081/540396992*c_1001_11^7 + 147882923/540396992*c_1001_11^6 + 654892349/540396992*c_1001_11^5 + 1937013217/540396992*c_1001_11^4 + 3556983619/540396992*c_1001_11^3 + 3526604865/540396992*c_1001_11^2 + 500141263/270198496*c_1001_11 + 87981425/540396992, c_1001_10 + 4221111/270198496*c_1001_11^9 + 40458907/1080793984*c_1001_11^8 + 101446283/270198496*c_1001_11^7 + 642551617/540396992*c_1001_11^6 + 666802279/135099248*c_1001_11^5 + 1036905767/67549624*c_1001_11^4 + 8072580143/270198496*c_1001_11^3 + 17815589707/540396992*c_1001_11^2 + 4292300477/270198496*c_1001_11 + 530383597/1080793984, c_1001_11^10 + 10/3*c_1001_11^9 + 79/3*c_1001_11^8 + 296/3*c_1001_11^7 + 1166/3*c_1001_11^6 + 3836/3*c_1001_11^5 + 2842*c_1001_11^4 + 3896*c_1001_11^3 + 2933*c_1001_11^2 + 878*c_1001_11 - 173/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB