Magma V2.19-8 Tue Aug 20 2013 17:55:32 on localhost [Seed = 3297080084] Type ? for help. Type -D to quit. Loading file "11_549__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_549 geometric_solution 7.44001212 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.685074476382 1.075166902899 0 5 6 5 0132 0132 0132 0213 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 19 -1 -18 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 0.832726201680 0.632918031581 6 0 7 6 2031 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.117549354312 0.676972141724 8 5 8 0 0132 2031 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.067294576862 1.036993628409 7 7 0 5 2031 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562022784283 0.517816865430 3 1 4 1 1302 0132 2031 0213 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 -19 1 18 0 0 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 0.832726201680 0.632918031581 2 7 2 1 3012 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713373654306 0.547264703091 6 4 4 2 1023 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.952210603399 1.125790776751 3 8 3 8 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456643663443 0.105583168297 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_4'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_0101_3'], 's_2_8' : d['1'], '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_0_8' : 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_8' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0110_4'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_4']), '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_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], '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' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 8121848562262151/63124515976255*c_1001_2^17 + 372011197884043/1069907050445*c_1001_2^16 - 14821517107531169/63124515976255*c_1001_2^15 - 109592173301953392/63124515976255*c_1001_2^14 + 33190301679297742/63124515976255*c_1001_2^13 + 454875366810432569/63124515976255*c_1001_2^12 + 98195505271182793/63124515976255*c_1001_2^11 - 1254543981684742196/63124515976255*c_1001_2^10 - 589200609541444474/63124515976255*c_1001_2^9 + 2511273755699441218/63124515976255*c_1001_2^8 + 374312895254349155/12624903195251*c_1001_2^7 - 2920639400547675988/63124515976255*c_1001_2^6 - 2723727500222919454/63124515976255*c_1001_2^5 + 1981163782260444147/63124515976255*c_1001_2^4 + 2116520368081808969/63124515976255*c_1001_2^3 - 138797797920730517/63124515976255*c_1001_2^2 - 212738963086825672/63124515976255*c_1001_2 + 26090425437922271/63124515976255, c_0011_0 - 1, c_0011_3 + 1714085720064/1069907050445*c_1001_2^17 + 4490808592288/1069907050445*c_1001_2^16 - 3218171658364/1069907050445*c_1001_2^15 - 22217763911784/1069907050445*c_1001_2^14 + 8183735408328/1069907050445*c_1001_2^13 + 92019551471648/1069907050445*c_1001_2^12 + 15239408682156/1069907050445*c_1001_2^11 - 252422163829488/1069907050445*c_1001_2^10 - 104392254100984/1069907050445*c_1001_2^9 + 500566308105499/1069907050445*c_1001_2^8 + 69317355711924/213981410089*c_1001_2^7 - 569951691819633/1069907050445*c_1001_2^6 - 492302239171896/1069907050445*c_1001_2^5 + 371444415405053/1069907050445*c_1001_2^4 + 363340620456608/1069907050445*c_1001_2^3 - 2667017620714/1069907050445*c_1001_2^2 - 6596431103992/1069907050445*c_1001_2 + 4790187202251/1069907050445, c_0011_4 - 712613918586/1069907050445*c_1001_2^17 - 2933726930134/1069907050445*c_1001_2^16 - 1413925968206/1069907050445*c_1001_2^15 + 2260462610938/213981410089*c_1001_2^14 + 10322060363226/1069907050445*c_1001_2^13 - 43630396851094/1069907050445*c_1001_2^12 - 63122057906231/1069907050445*c_1001_2^11 + 96438021346046/1069907050445*c_1001_2^10 + 199598495416756/1069907050445*c_1001_2^9 - 145529809862194/1069907050445*c_1001_2^8 - 453720580144764/1069907050445*c_1001_2^7 + 23768906754676/1069907050445*c_1001_2^6 + 557789644795274/1069907050445*c_1001_2^5 + 153464061470326/1069907050445*c_1001_2^4 - 378138621157679/1069907050445*c_1001_2^3 - 233752606700406/1069907050445*c_1001_2^2 - 605598587258/1069907050445*c_1001_2 + 12649699980098/1069907050445, c_0101_0 + 367282982746/1069907050445*c_1001_2^17 + 2091318305208/1069907050445*c_1001_2^16 + 459001491220/213981410089*c_1001_2^15 - 6793108428788/1069907050445*c_1001_2^14 - 12954216316362/1069907050445*c_1001_2^13 + 24609660798948/1069907050445*c_1001_2^12 + 12799956245612/213981410089*c_1001_2^11 - 41846177207324/1069907050445*c_1001_2^10 - 188314107633991/1069907050445*c_1001_2^9 + 6384179810218/213981410089*c_1001_2^8 + 401398660267902/1069907050445*c_1001_2^7 + 121101671026006/1069907050445*c_1001_2^6 - 472728570471619/1069907050445*c_1001_2^5 - 266207332846082/1069907050445*c_1001_2^4 + 308324233246098/1069907050445*c_1001_2^3 + 51803474036180/213981410089*c_1001_2^2 + 1877230117545/213981410089*c_1001_2 - 11234502242302/1069907050445, c_0101_1 + 724616363094/1069907050445*c_1001_2^17 + 1828518153442/1069907050445*c_1001_2^16 - 313404997604/213981410089*c_1001_2^15 - 9263547595422/1069907050445*c_1001_2^14 + 4509204625902/1069907050445*c_1001_2^13 + 38670976743222/1069907050445*c_1001_2^12 + 398627695516/213981410089*c_1001_2^11 - 107814731142271/1069907050445*c_1001_2^10 - 31637503069464/1069907050445*c_1001_2^9 + 43560010252911/213981410089*c_1001_2^8 + 120442174468258/1069907050445*c_1001_2^7 - 259562199721746/1069907050445*c_1001_2^6 - 175409854706866/1069907050445*c_1001_2^5 + 185058132430627/1069907050445*c_1001_2^4 + 127829361171452/1069907050445*c_1001_2^3 - 4687788134713/213981410089*c_1001_2^2 + 560331244916/213981410089*c_1001_2 + 5157470184997/1069907050445, c_0101_2 + 71268811282/1069907050445*c_1001_2^17 + 59604346670/213981410089*c_1001_2^16 + 241306793534/1069907050445*c_1001_2^15 - 1058512767804/1069907050445*c_1001_2^14 - 299560226842/213981410089*c_1001_2^13 + 757055504803/213981410089*c_1001_2^12 + 8460927964274/1069907050445*c_1001_2^11 - 6982707962751/1069907050445*c_1001_2^10 - 25927653865352/1069907050445*c_1001_2^9 + 5746233176931/1069907050445*c_1001_2^8 + 59596499492662/1069907050445*c_1001_2^7 + 16747906941484/1069907050445*c_1001_2^6 - 76394927528328/1069907050445*c_1001_2^5 - 8701466448700/213981410089*c_1001_2^4 + 12063190947890/213981410089*c_1001_2^3 + 46135570736989/1069907050445*c_1001_2^2 - 11888286611748/1069907050445*c_1001_2 - 5870084103583/1069907050445, c_0101_3 + 3249301866061/1069907050445*c_1001_2^17 + 8919451352184/1069907050445*c_1001_2^16 - 5344546890974/1069907050445*c_1001_2^15 - 8717657272856/213981410089*c_1001_2^14 + 10875496319739/1069907050445*c_1001_2^13 + 179817260160544/1069907050445*c_1001_2^12 + 48592810122866/1069907050445*c_1001_2^11 - 488916474120936/1069907050445*c_1001_2^10 - 257624816673381/1069907050445*c_1001_2^9 + 962283622361754/1069907050445*c_1001_2^8 + 784666511197574/1069907050445*c_1001_2^7 - 1070576831503446/1069907050445*c_1001_2^6 - 1108620989077654/1069907050445*c_1001_2^5 + 664974932930934/1069907050445*c_1001_2^4 + 832404223518924/1069907050445*c_1001_2^3 + 38914898187836/1069907050445*c_1001_2^2 - 53107373349587/1069907050445*c_1001_2 - 2475678624758/1069907050445, c_0110_4 + 628398619082/1069907050445*c_1001_2^17 + 2621151325318/1069907050445*c_1001_2^16 + 1474675378062/1069907050445*c_1001_2^15 - 1960902384096/213981410089*c_1001_2^14 - 10045015644167/1069907050445*c_1001_2^13 + 37236264413998/1069907050445*c_1001_2^12 + 59414444176682/1069907050445*c_1001_2^11 - 78991356023252/1069907050445*c_1001_2^10 - 185033117378317/1069907050445*c_1001_2^9 + 108953136413618/1069907050445*c_1001_2^8 + 416589793176628/1069907050445*c_1001_2^7 + 21125206187008/1069907050445*c_1001_2^6 - 504447216594858/1069907050445*c_1001_2^5 - 190118770864152/1069907050445*c_1001_2^4 + 336564254342738/1069907050445*c_1001_2^3 + 243431560162412/1069907050445*c_1001_2^2 + 6119338634431/1069907050445*c_1001_2 - 12578431168816/1069907050445, c_1001_2^18 + 3*c_1001_2^17 - c_1001_2^16 - 14*c_1001_2^15 + 57*c_1001_2^13 + 29*c_1001_2^12 - 150*c_1001_2^11 - 119*c_1001_2^10 + 285*c_1001_2^9 + 323*c_1001_2^8 - 286*c_1001_2^7 - 442*c_1001_2^6 + 138*c_1001_2^5 + 332*c_1001_2^4 + 64*c_1001_2^3 - 31*c_1001_2^2 - 5*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB