Magma V2.19-8 Wed Aug 21 2013 01:07:48 on localhost [Seed = 2968955284] Type ? for help. Type -D to quit. Loading file "L14n35132__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35132 geometric_solution 11.62425804 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 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 -1 1 -1 0 0 1 1 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.456635762662 1.732357925475 0 4 6 5 0132 1023 0132 0132 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 -1 0 5 -5 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431318398314 0.676325616194 7 0 8 7 0132 0132 0132 3012 0 0 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 6 0 0 -6 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415402465762 1.073039618035 5 9 10 0 0132 0132 0132 0132 0 1 0 1 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 -1 0 1 0 0 0 0 0 5 0 -5 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291429472914 0.634232608086 1 9 0 7 1023 3201 0132 0213 0 1 0 1 0 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 -5 -1 6 0 0 -1 1 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164840216947 0.525544812563 3 8 1 6 0132 2031 0132 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.283774796421 0.788210912700 11 10 5 1 0132 2031 1230 0132 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 -1 1 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020628457765 1.208219648644 2 12 2 4 0132 0132 1230 0213 0 0 1 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 6 -6 -6 0 0 6 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.704651147208 0.394414570333 5 11 12 2 1302 0321 2031 0132 0 0 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.313754429632 0.810469270352 11 3 4 12 1230 0132 2310 2310 0 1 1 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 2 -2 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646890920968 0.733401364118 6 11 12 3 1302 0213 0321 0132 0 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589775438859 0.833832387552 6 9 10 8 0132 3012 0213 0321 0 1 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301736275603 0.476214184860 9 7 10 8 3201 0132 0321 1302 0 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919405965998 0.604841180369 ==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' : d['c_0011_3'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0110_12']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0110_12']), 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0110_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : 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' : 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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1001_12'], 'c_1100_7' : d['c_0101_7'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_1001_12'], 'c_1100_3' : d['c_1001_12'], 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0110_12']), 'c_1010_8' : negation(d['c_0101_9']), 'c_1100_8' : negation(d['c_1001_7']), 's_3_1' : 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_0011_3'], '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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_8']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_10']})} 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_11, c_0011_3, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_0110_12, c_1001_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 3621080268645511954660331/3457265299551882609042*c_1001_7^8 + 74924544764563770258031235/6914530599103765218084*c_1001_7^7 + 218002691213354998102896791/4609687066069176812056*c_1001_7^6 + 818580338693555644337019569/6914530599103765218084*c_1001_7^5 + 6096048282399002037072348049/31609282738760069568384*c_1001_7^4 + 7752260957043980081225151037/36877496528553414496448*c_1001_7^3 + 44435449171562134328900102687/295019972228427315971584*c_1001_7^2 + 14409897076886267101417175135/221264979171320486978688*c_1001_7 + 954914864548590464077954135/73754993057106828992896, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 36671048/302273951*c_1001_7^8 - 281911332/302273951*c_1001_7^7 - 907507134/302273951*c_1001_7^6 - 1900379476/302273951*c_1001_7^5 - 22998809101/2418191608*c_1001_7^4 - 11358025491/1209095804*c_1001_7^3 - 77737435343/9672766432*c_1001_7^2 - 3309304399/1209095804*c_1001_7 - 3146440237/2418191608, c_0011_3 + 617493656/302273951*c_1001_7^8 + 5937020492/302273951*c_1001_7^7 + 3409421094/43181993*c_1001_7^6 + 55027008796/302273951*c_1001_7^5 + 659891482559/2418191608*c_1001_7^4 + 322321510545/1209095804*c_1001_7^3 + 1600252008853/9672766432*c_1001_7^2 + 66849830375/1209095804*c_1001_7 + 14540152455/2418191608, c_0011_8 - 24228328/43181993*c_1001_7^8 - 1331817388/302273951*c_1001_7^7 - 4092785434/302273951*c_1001_7^6 - 7134080444/302273951*c_1001_7^5 - 66005150903/2418191608*c_1001_7^4 - 20481762569/1209095804*c_1001_7^3 - 67319017949/9672766432*c_1001_7^2 + 347654777/172727972*c_1001_7 + 2027973273/2418191608, c_0101_0 - 356355108/302273951*c_1001_7^8 - 3622610882/302273951*c_1001_7^7 - 15166348375/302273951*c_1001_7^6 - 35667621966/302273951*c_1001_7^5 - 861403321677/4836383216*c_1001_7^4 - 424466450897/2418191608*c_1001_7^3 - 304529802873/2763647552*c_1001_7^2 - 185108502947/4836383216*c_1001_7 - 3170219341/690911888, c_0101_2 + 384087064/302273951*c_1001_7^8 + 548676532/43181993*c_1001_7^7 + 15909827418/302273951*c_1001_7^6 + 37188018692/302273951*c_1001_7^5 + 447457744751/2418191608*c_1001_7^4 + 31493561457/172727972*c_1001_7^3 + 1109639302501/9672766432*c_1001_7^2 + 100706072511/2418191608*c_1001_7 + 12631684701/2418191608, c_0101_3 + 3961708/43181993*c_1001_7^8 + 218124842/302273951*c_1001_7^7 + 743479043/302273951*c_1001_7^6 + 1520396726/302273951*c_1001_7^5 + 33512167825/4836383216*c_1001_7^4 + 16443409501/2418191608*c_1001_7^3 + 87569984891/19345532864*c_1001_7^2 + 2329091725/690911888*c_1001_7 + 3071834015/4836383216, c_0101_7 + 97809936/43181993*c_1001_7^8 + 6684793016/302273951*c_1001_7^7 + 27024934884/302273951*c_1001_7^6 + 61491346232/302273951*c_1001_7^5 + 357439926595/1209095804*c_1001_7^4 + 167529187617/604547902*c_1001_7^3 + 778352982873/4836383216*c_1001_7^2 + 8656765383/172727972*c_1001_7 + 5866308817/1209095804, c_0101_9 + 1154616888/302273951*c_1001_7^8 + 1563759524/43181993*c_1001_7^7 + 42654996306/302273951*c_1001_7^6 + 93406585780/302273951*c_1001_7^5 + 1050033176131/2418191608*c_1001_7^4 + 67841055517/172727972*c_1001_7^3 + 2135205559297/9672766432*c_1001_7^2 + 159469943219/2418191608*c_1001_7 + 12795574537/2418191608, c_0110_12 - 617493656/302273951*c_1001_7^8 - 5937020492/302273951*c_1001_7^7 - 3409421094/43181993*c_1001_7^6 - 55027008796/302273951*c_1001_7^5 - 659891482559/2418191608*c_1001_7^4 - 322321510545/1209095804*c_1001_7^3 - 1600252008853/9672766432*c_1001_7^2 - 66849830375/1209095804*c_1001_7 - 14540152455/2418191608, c_1001_12 + 926790864/302273951*c_1001_7^8 + 8936441000/302273951*c_1001_7^7 + 35327744268/302273951*c_1001_7^6 + 78442240504/302273951*c_1001_7^5 + 448817561121/1209095804*c_1001_7^4 + 208168500137/604547902*c_1001_7^3 + 975042151947/4836383216*c_1001_7^2 + 78104047257/1209095804*c_1001_7 + 8421674823/1209095804, c_1001_7^9 + 21/2*c_1001_7^8 + 187/4*c_1001_7^7 + 120*c_1001_7^6 + 12901/64*c_1001_7^5 + 1833/8*c_1001_7^4 + 44743/256*c_1001_7^3 + 10799/128*c_1001_7^2 + 1405/64*c_1001_7 + 61/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB