Magma V2.19-8 Wed Aug 21 2013 01:02:03 on localhost [Seed = 981213596] Type ? for help. Type -D to quit. Loading file "L14n1384__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1384 geometric_solution 11.47162836 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 1 2 0132 1302 3012 0132 1 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 1 -1 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 0.859322359441 0.550510903660 0 0 3 0 0132 1230 0132 2031 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 0 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435733533970 1.705147033941 4 5 0 5 0132 0132 0132 2310 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 -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 0.816037931615 0.256010567645 4 6 5 1 3120 0132 2031 0132 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957711312530 0.511521441802 2 6 7 3 0132 1230 0132 3120 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200433359020 0.353503255988 2 2 8 3 3201 0132 0132 1302 1 1 1 1 0 0 0 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 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 0.622702966954 1.180810846901 9 3 4 10 0132 0132 3012 0132 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 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 0.231924311121 0.966728738640 11 12 8 4 0132 0132 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447717733429 1.328428458560 11 10 7 5 2310 0132 1023 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 0.108963936796 0.666071963793 6 12 10 11 0132 0321 3201 3201 1 1 1 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 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.272019649514 0.786151377757 9 8 6 12 2310 0132 0132 3012 1 1 1 1 0 0 0 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 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 0.439237418560 0.867743246431 7 9 8 12 0132 2310 3201 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644785309232 0.452615352933 11 7 10 9 3201 0132 1230 0321 1 1 1 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 0 0 0 0 0 0 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 0.857650661089 0.797300073437 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0101_12']), 's_3_11' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : negation(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' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_1001_12']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_1001_2']), 'c_1100_2' : negation(d['c_0011_2']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_1001_12']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0110_5']), 'c_1100_8' : d['c_0101_3'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_10']), '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' : negation(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' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_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_2, c_0011_3, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_8, c_0110_5, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 142462864013234354164001019427396980407681/118206909895188241341532\ 44346427637760*c_1001_2^7 + 928501206043310802280104756891375321367\ 833/11820690989518824134153244346427637760*c_1001_2^6 - 538864806243019854963281369273788478775373/236413819790376482683064\ 8869285527552*c_1001_2^5 + 4661245455845001291096455334755374205053\ 937/11820690989518824134153244346427637760*c_1001_2^4 - 5198777949710589163391934052453334413125899/11820690989518824134153\ 244346427637760*c_1001_2^3 + 37745967716287146642202788641996809055\ 66883/11820690989518824134153244346427637760*c_1001_2^2 - 1660371075376040775874960362558889527773811/11820690989518824134153\ 244346427637760*c_1001_2 + 3540663164792417437660468228441186102903\ 87/11820690989518824134153244346427637760, c_0011_0 - 1, c_0011_10 - 57654678200145841/420691592691712*c_1001_2^7 + 297882791519512935/420691592691712*c_1001_2^6 - 751565648756445957/420691592691712*c_1001_2^5 + 1157407594999001987/420691592691712*c_1001_2^4 - 1168910400378126643/420691592691712*c_1001_2^3 + 770192900745135413/420691592691712*c_1001_2^2 - 307820773644707927/420691592691712*c_1001_2 + 57674504658727457/420691592691712, c_0011_2 + c_1001_2 - 1, c_0011_3 + 116587989963917/22141662773248*c_1001_2^7 - 640599290716633/22141662773248*c_1001_2^6 + 1761142624138037/22141662773248*c_1001_2^5 - 2988731884266169/22141662773248*c_1001_2^4 + 3397492868266367/22141662773248*c_1001_2^3 - 2595931942598419/22141662773248*c_1001_2^2 + 1243967112560575/22141662773248*c_1001_2 - 298923286402395/22141662773248, c_0101_1 - 1, c_0101_10 + 1329356543140855/420691592691712*c_1001_2^7 + 302608379849491/420691592691712*c_1001_2^6 - 14174773557919773/420691592691712*c_1001_2^5 + 46018067683936239/420691592691712*c_1001_2^4 - 73599034443166043/420691592691712*c_1001_2^3 + 71294980991480889/420691592691712*c_1001_2^2 - 39658864016094655/420691592691712*c_1001_2 + 11072163486776325/420691592691712, c_0101_11 - 1843718002160541/420691592691712*c_1001_2^7 + 9976399911961013/420691592691712*c_1001_2^6 - 27137362342920333/420691592691712*c_1001_2^5 + 45490045232296445/420691592691712*c_1001_2^4 - 51067649223572511/420691592691712*c_1001_2^3 + 38160567540182327/420691592691712*c_1001_2^2 - 18141602184266807/420691592691712*c_1001_2 + 3981692936668055/420691592691712, c_0101_12 - 65885883556106923/420691592691712*c_1001_2^7 + 358190654112063391/420691592691712*c_1001_2^6 - 941616674793801523/420691592691712*c_1001_2^5 + 1511154442868999695/420691592691712*c_1001_2^4 - 1590432673986321737/420691592691712*c_1001_2^3 + 1096775887630187061/420691592691712*c_1001_2^2 - 461190678157693913/420691592691712*c_1001_2 + 92989720166558493/420691592691712, c_0101_3 - 2769944671320159/841383185383424*c_1001_2^7 + 20542380296729065/841383185383424*c_1001_2^6 - 64465631258636787/841383185383424*c_1001_2^5 + 122522516155371157/841383185383424*c_1001_2^4 - 149734921362136205/841383185383424*c_1001_2^3 + 122587301851560651/841383185383424*c_1001_2^2 - 62067496311944545/841383185383424*c_1001_2 + 17614045315039479/841383185383424, c_0101_8 + 29806017818034959/420691592691712*c_1001_2^7 - 161964137316135739/420691592691712*c_1001_2^6 + 425000394673691047/420691592691712*c_1001_2^5 - 684331736126684635/420691592691712*c_1001_2^4 + 725977777947662453/420691592691712*c_1001_2^3 - 508504673115715465/420691592691712*c_1001_2^2 + 218893587910214357/420691592691712*c_1001_2 - 46118593532202849/420691592691712, c_0110_5 + 1472264195006659/420691592691712*c_1001_2^7 - 7781413300305999/420691592691712*c_1001_2^6 + 20813014827217963/420691592691712*c_1001_2^5 - 34194184663535679/420691592691712*c_1001_2^4 + 37582933950084049/420691592691712*c_1001_2^3 - 26998428170994693/420691592691712*c_1001_2^2 + 12227137637190977/420691592691712*c_1001_2 - 2704535024382317/420691592691712, c_1001_12 + 2958079423622187/420691592691712*c_1001_2^7 - 16561359746926055/420691592691712*c_1001_2^6 + 46110404890027443/420691592691712*c_1001_2^5 - 79377626938578743/420691592691712*c_1001_2^4 + 91521795044037897/420691592691712*c_1001_2^3 - 71646985647745229/420691592691712*c_1001_2^2 + 35884995825494297/420691592691712*c_1001_2 - 9495933044292117/420691592691712, c_1001_2^8 - 1137944/183257*c_1001_2^7 + 3470764/183257*c_1001_2^6 - 6590216/183257*c_1001_2^5 + 8474630/183257*c_1001_2^4 - 7528552/183257*c_1001_2^3 + 4528524/183257*c_1001_2^2 - 1694712/183257*c_1001_2 + 310633/183257 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.950 Total time: 2.149 seconds, Total memory usage: 32.09MB