Magma V2.19-8 Tue Aug 20 2013 23:52:51 on localhost [Seed = 223045314] Type ? for help. Type -D to quit. Loading file "L13n4352__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4352 geometric_solution 10.25879682 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 2031 0132 1 1 0 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 1 -1 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 0.765647850851 1.493693004822 0 4 5 0 0132 0132 0132 1302 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728236885007 0.530179329024 3 0 5 6 0213 0132 3012 0132 1 1 1 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 -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 0.608700160578 0.505370928272 2 4 0 7 0213 1302 0132 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 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 0.102480788781 0.790776408731 5 1 8 3 0321 0132 0132 2031 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627255044931 0.552655013496 4 2 6 1 0321 1230 3012 0132 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 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 0.957858375467 1.237091681605 9 5 2 10 0132 1230 0132 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 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 -0.407412865350 2.329054994704 9 11 3 8 3201 0132 0132 2031 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615578108293 0.423442127749 10 7 11 4 1302 1302 2031 0132 1 1 1 1 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 -1 0 0 1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.102712994417 0.758531095180 6 10 11 7 0132 2310 3120 2310 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 4 -4 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 0.407247650445 0.346311085502 11 8 6 9 0213 2031 0132 3201 1 1 1 1 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 0 0 0 4 0 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407247650445 0.346311085502 10 7 9 8 0213 0132 3120 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 -4 0 -1 5 0 0 0 0 1 -5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.941683006783 0.405311370277 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_0110_10'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0011_8'], '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_0011_10'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_7'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : negation(d['c_1001_7']), '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'], '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_0110_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0110_10'], 'c_0110_6' : 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_5, c_0011_6, c_0011_8, c_0101_0, c_0101_4, c_0101_6, c_0110_10, c_1001_4, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 642036144386199065386727/253094650379177600416*c_1001_7^8 + 127983451638419550029868469/9617596714408748815808*c_1001_7^7 + 687429452337162248424948379/9617596714408748815808*c_1001_7^6 + 2304676715722889587764334817/9617596714408748815808*c_1001_7^5 + 155976264852793309457523699/282870491600257318112*c_1001_7^4 + 7975877690012293873319397311/9617596714408748815808*c_1001_7^3 + 4232281232665009295320648635/4808798357204374407904*c_1001_7^2 + 4251593080133038456762999825/9617596714408748815808*c_1001_7 + 397495158540680399236754309/4808798357204374407904, c_0011_0 - 1, c_0011_10 + 553788309829505/16043017899288641*c_1001_7^8 + 49956651545240126/304817340086484179*c_1001_7^7 + 270068963939136382/304817340086484179*c_1001_7^6 + 857750139644766319/304817340086484179*c_1001_7^5 + 1838444223908942505/304817340086484179*c_1001_7^4 + 2495149034485385192/304817340086484179*c_1001_7^3 + 2352364252301806654/304817340086484179*c_1001_7^2 + 636206134115363585/304817340086484179*c_1001_7 - 161518572133533627/304817340086484179, c_0011_3 - 863269114798367/64172071597154564*c_1001_7^8 - 36292553983371133/609634680172968358*c_1001_7^7 - 103026721272381292/304817340086484179*c_1001_7^6 - 1249649620971811165/1219269360345936716*c_1001_7^5 - 2760216090548317321/1219269360345936716*c_1001_7^4 - 3613373713927484159/1219269360345936716*c_1001_7^3 - 3663471112960183215/1219269360345936716*c_1001_7^2 + 149589342846994613/1219269360345936716*c_1001_7 + 499362671493807955/609634680172968358, c_0011_5 + 863269114798367/64172071597154564*c_1001_7^8 + 36292553983371133/609634680172968358*c_1001_7^7 + 103026721272381292/304817340086484179*c_1001_7^6 + 1249649620971811165/1219269360345936716*c_1001_7^5 + 2760216090548317321/1219269360345936716*c_1001_7^4 + 3613373713927484159/1219269360345936716*c_1001_7^3 + 3663471112960183215/1219269360345936716*c_1001_7^2 - 149589342846994613/1219269360345936716*c_1001_7 - 499362671493807955/609634680172968358, c_0011_6 - 53398805770907/32086035798577282*c_1001_7^8 - 7161448216234006/304817340086484179*c_1001_7^7 - 33251633807167483/304817340086484179*c_1001_7^6 - 298772441254911335/609634680172968358*c_1001_7^5 - 799777863694791331/609634680172968358*c_1001_7^4 - 1355181301000170695/609634680172968358*c_1001_7^3 - 1281660788052549897/609634680172968358*c_1001_7^2 - 383715852756074009/609634680172968358*c_1001_7 + 159646544631824653/304817340086484179, c_0011_8 - 2653057858136055/64172071597154564*c_1001_7^8 - 116414477806045079/609634680172968358*c_1001_7^7 - 316117773951897431/304817340086484179*c_1001_7^6 - 3949207882314712185/1219269360345936716*c_1001_7^5 - 8293118447062615585/1219269360345936716*c_1001_7^4 - 10934742750450735639/1219269360345936716*c_1001_7^3 - 10012186035974087011/1219269360345936716*c_1001_7^2 - 1524430163386084451/1219269360345936716*c_1001_7 + 431589597353995625/609634680172968358, c_0101_0 - 1, c_0101_4 + 1868685807420843/32086035798577282*c_1001_7^8 + 4082155041684315/16043017899288641*c_1001_7^7 + 22424344200305861/16043017899288641*c_1001_7^6 + 134529138117745663/32086035798577282*c_1001_7^5 + 273228828345920737/32086035798577282*c_1001_7^4 + 327254295798071373/32086035798577282*c_1001_7^3 + 273807505857466551/32086035798577282*c_1001_7^2 - 7266539420915825/32086035798577282*c_1001_7 - 14845008158698710/16043017899288641, c_0101_6 - 1868685807420843/32086035798577282*c_1001_7^8 - 4082155041684315/16043017899288641*c_1001_7^7 - 22424344200305861/16043017899288641*c_1001_7^6 - 134529138117745663/32086035798577282*c_1001_7^5 - 273228828345920737/32086035798577282*c_1001_7^4 - 327254295798071373/32086035798577282*c_1001_7^3 - 273807505857466551/32086035798577282*c_1001_7^2 + 7266539420915825/32086035798577282*c_1001_7 + 14845008158698710/16043017899288641, c_0110_10 + 2653057858136055/64172071597154564*c_1001_7^8 + 116414477806045079/609634680172968358*c_1001_7^7 + 316117773951897431/304817340086484179*c_1001_7^6 + 3949207882314712185/1219269360345936716*c_1001_7^5 + 8293118447062615585/1219269360345936716*c_1001_7^4 + 10934742750450735639/1219269360345936716*c_1001_7^3 + 10012186035974087011/1219269360345936716*c_1001_7^2 + 1524430163386084451/1219269360345936716*c_1001_7 - 431589597353995625/609634680172968358, c_1001_4 - 863269114798367/64172071597154564*c_1001_7^8 - 36292553983371133/609634680172968358*c_1001_7^7 - 103026721272381292/304817340086484179*c_1001_7^6 - 1249649620971811165/1219269360345936716*c_1001_7^5 - 2760216090548317321/1219269360345936716*c_1001_7^4 - 3613373713927484159/1219269360345936716*c_1001_7^3 - 3663471112960183215/1219269360345936716*c_1001_7^2 + 149589342846994613/1219269360345936716*c_1001_7 - 110272008679160403/609634680172968358, c_1001_7^9 + 96/19*c_1001_7^8 + 516/19*c_1001_7^7 + 89*c_1001_7^6 + 199*c_1001_7^5 + 5407/19*c_1001_7^4 + 5379/19*c_1001_7^3 + 2023/19*c_1001_7^2 - 32/19*c_1001_7 - 116/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB