Magma V2.19-8 Wed Aug 21 2013 00:53:24 on localhost [Seed = 1174426542] Type ? for help. Type -D to quit. Loading file "L12n154__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n154 geometric_solution 12.37001876 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 1 1 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 0 -1 1 0 0 1 -1 1 1 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.025073715200 0.846860240592 0 0 5 4 0132 1302 0132 0132 1 1 0 1 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 0 1 -1 0 0 0 0 0 1 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 6 0 8 7 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 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 0.574365234783 1.097374398886 7 9 10 0 0132 0132 0132 0132 0 1 0 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 -1 0 1 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 0.361977519056 1.126901864739 6 10 1 7 2103 1230 0132 2103 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 0 0.307229782131 0.792101879447 11 11 10 1 0132 1230 2103 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 -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 0.965068707543 1.179798147122 2 8 4 12 0132 3120 2103 0132 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 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 0.658643540373 0.612554430254 3 11 2 4 0132 2310 0132 2103 0 1 1 0 0 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 -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 0.741617291101 0.804392375618 9 6 12 2 3120 3120 0132 0132 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 0 0 -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 0.047456861647 0.462054098094 12 3 11 8 0132 0132 2310 3120 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 1 0 -1 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 0.625607520547 0.715309174731 5 12 4 3 2103 0132 3012 0132 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 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 0.625607520547 0.715309174731 5 9 5 7 0132 3201 3012 3201 0 1 0 1 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 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 0.584609613745 0.507815458325 9 10 6 8 0132 0132 0132 0132 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694170674732 1.245669475903 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_12' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : negation(d['c_0011_8']), '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_0101_1'], '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' : 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_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0110_4']), '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' : negation(d['c_0110_4']), '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_12']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_4, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 109059955515225171580392/74991780148596599861257*c_1001_4^11 + 1533146156142653979306843/974893141931755798196341*c_1001_4^10 + 4755502637899323145604176/974893141931755798196341*c_1001_4^9 + 6166609589878505379055410/974893141931755798196341*c_1001_4^8 - 38887641905421425194929043/974893141931755798196341*c_1001_4^7 - 225878076041552870480862/57346655407750341070373*c_1001_4^6 + 73040958689751695140339232/974893141931755798196341*c_1001_4^5 - 41604596865714910877319975/974893141931755798196341*c_1001_4^4 - 66697340021025641219116323/974893141931755798196341*c_1001_4^3 + 9916706490039865332972712/974893141931755798196341*c_1001_4^2 - 562295787006743185248868/23777881510530629224301*c_1001_4 - 13775828002903158295814248/974893141931755798196341, c_0011_0 - 1, c_0011_10 + 5597330425417266660/34510713367968982909*c_1001_4^11 - 4425591862789890480/34510713367968982909*c_1001_4^10 - 21340750120828840608/34510713367968982909*c_1001_4^9 - 29341875868609082845/34510713367968982909*c_1001_4^8 + 148470913886711555310/34510713367968982909*c_1001_4^7 + 3872929013420305085/2030041962821704877*c_1001_4^6 - 302692363423032975827/34510713367968982909*c_1001_4^5 + 75407859146983612842/34510713367968982909*c_1001_4^4 + 328313234455640922090/34510713367968982909*c_1001_4^3 + 40623619662064300450/34510713367968982909*c_1001_4^2 + 25140624714047838608/34510713367968982909*c_1001_4 + 44162561187882190535/34510713367968982909, c_0011_11 + 27099915822/119695609321*c_1001_4^11 - 33658494570/119695609321*c_1001_4^10 - 84864351015/119695609321*c_1001_4^9 - 106442826990/119695609321*c_1001_4^8 + 765133436811/119695609321*c_1001_4^7 - 54207071852/119695609321*c_1001_4^6 - 1377987540308/119695609321*c_1001_4^5 + 946712303829/119695609321*c_1001_4^4 + 1227783376572/119695609321*c_1001_4^3 - 320110135898/119695609321*c_1001_4^2 + 344795902527/119695609321*c_1001_4 + 239402041072/119695609321, c_0011_4 + 2535859266561558036/34510713367968982909*c_1001_4^11 - 2611651708426959258/34510713367968982909*c_1001_4^10 - 8480457439272634354/34510713367968982909*c_1001_4^9 - 12659542020949095855/34510713367968982909*c_1001_4^8 + 69542127925364183464/34510713367968982909*c_1001_4^7 + 726984078677112261/2030041962821704877*c_1001_4^6 - 122017010350573287248/34510713367968982909*c_1001_4^5 + 43616427869817796341/34510713367968982909*c_1001_4^4 + 117385239994220953830/34510713367968982909*c_1001_4^3 + 42313782316383260497/34510713367968982909*c_1001_4^2 + 1115017855770723396/34510713367968982909*c_1001_4 - 16532015969831131355/34510713367968982909, c_0011_8 - 5630815731628462905/34510713367968982909*c_1001_4^11 + 7082529863158709283/34510713367968982909*c_1001_4^10 + 18336089536861932557/34510713367968982909*c_1001_4^9 + 19383251596633152915/34510713367968982909*c_1001_4^8 - 158845095629015886862/34510713367968982909*c_1001_4^7 + 681167004363207557/2030041962821704877*c_1001_4^6 + 311808810633921855982/34510713367968982909*c_1001_4^5 - 246015707511000246059/34510713367968982909*c_1001_4^4 - 243892967711368417617/34510713367968982909*c_1001_4^3 + 129366753057495639977/34510713367968982909*c_1001_4^2 - 138111307201223730470/34510713367968982909*c_1001_4 - 60686422927266024402/34510713367968982909, c_0101_0 + 4645284196878943713/34510713367968982909*c_1001_4^11 - 5209062331056588777/34510713367968982909*c_1001_4^10 - 15235943637978210113/34510713367968982909*c_1001_4^9 - 19500431546168587607/34510713367968982909*c_1001_4^8 + 127283046761474309185/34510713367968982909*c_1001_4^7 + 291816653299891183/2030041962821704877*c_1001_4^6 - 235287502066371090035/34510713367968982909*c_1001_4^5 + 156613084495428739305/34510713367968982909*c_1001_4^4 + 208540924651620652920/34510713367968982909*c_1001_4^3 - 76687898994868820181/34510713367968982909*c_1001_4^2 + 74091708408431673216/34510713367968982909*c_1001_4 + 64872300728525701922/34510713367968982909, c_0101_1 - 1, c_0101_10 + 3994332829078638618/34510713367968982909*c_1001_4^11 - 3700138039267604361/34510713367968982909*c_1001_4^10 - 16054392871712979034/34510713367968982909*c_1001_4^9 - 16563497746895815561/34510713367968982909*c_1001_4^8 + 110782270448073831484/34510713367968982909*c_1001_4^7 + 2208619523977731056/2030041962821704877*c_1001_4^6 - 260348365019818893313/34510713367968982909*c_1001_4^5 + 108364276202807647098/34510713367968982909*c_1001_4^4 + 256517741725721975082/34510713367968982909*c_1001_4^3 - 44573270975375758675/34510713367968982909*c_1001_4^2 - 7083107634288038680/34510713367968982909*c_1001_4 + 9934949370830211068/34510713367968982909, c_0101_12 + 12429931460654063610/34510713367968982909*c_1001_4^11 - 12350254504137645033/34510713367968982909*c_1001_4^10 - 43333566905740605663/34510713367968982909*c_1001_4^9 - 56522421567750431595/34510713367968982909*c_1001_4^8 + 336506767518525941936/34510713367968982909*c_1001_4^7 + 3783681728913641923/2030041962821704877*c_1001_4^6 - 652738416107659795793/34510713367968982909*c_1001_4^5 + 326215296693779277735/34510713367968982909*c_1001_4^4 + 629255770413650957056/34510713367968982909*c_1001_4^3 - 61295472277816251448/34510713367968982909*c_1001_4^2 + 217336859311084958557/34510713367968982909*c_1001_4 + 125702307812540663112/34510713367968982909, c_0101_3 - 4645284196878943713/34510713367968982909*c_1001_4^11 + 5209062331056588777/34510713367968982909*c_1001_4^10 + 15235943637978210113/34510713367968982909*c_1001_4^9 + 19500431546168587607/34510713367968982909*c_1001_4^8 - 127283046761474309185/34510713367968982909*c_1001_4^7 - 291816653299891183/2030041962821704877*c_1001_4^6 + 235287502066371090035/34510713367968982909*c_1001_4^5 - 156613084495428739305/34510713367968982909*c_1001_4^4 - 208540924651620652920/34510713367968982909*c_1001_4^3 + 76687898994868820181/34510713367968982909*c_1001_4^2 - 108602421776400656125/34510713367968982909*c_1001_4 - 64872300728525701922/34510713367968982909, c_0110_4 + 6175783033577765595/34510713367968982909*c_1001_4^11 - 8698672747256392272/34510713367968982909*c_1001_4^10 - 17016979380939712031/34510713367968982909*c_1001_4^9 - 22785803945964690300/34510713367968982909*c_1001_4^8 + 174265100371074171719/34510713367968982909*c_1001_4^7 - 2566373296101323096/2030041962821704877*c_1001_4^6 - 276512183215809733801/34510713367968982909*c_1001_4^5 + 265732675704888390900/34510713367968982909*c_1001_4^4 + 161434438500294678916/34510713367968982909*c_1001_4^3 - 75871540272763176822/34510713367968982909*c_1001_4^2 + 127203052279075664920/34510713367968982909*c_1001_4 + 30320552440497260361/34510713367968982909, c_1001_0 - 4645284196878943713/34510713367968982909*c_1001_4^11 + 5209062331056588777/34510713367968982909*c_1001_4^10 + 15235943637978210113/34510713367968982909*c_1001_4^9 + 19500431546168587607/34510713367968982909*c_1001_4^8 - 127283046761474309185/34510713367968982909*c_1001_4^7 - 291816653299891183/2030041962821704877*c_1001_4^6 + 235287502066371090035/34510713367968982909*c_1001_4^5 - 156613084495428739305/34510713367968982909*c_1001_4^4 - 208540924651620652920/34510713367968982909*c_1001_4^3 + 76687898994868820181/34510713367968982909*c_1001_4^2 - 108602421776400656125/34510713367968982909*c_1001_4 - 64872300728525701922/34510713367968982909, c_1001_4^12 - 2/3*c_1001_4^11 - 34/9*c_1001_4^10 - 52/9*c_1001_4^9 + 230/9*c_1001_4^8 + 14*c_1001_4^7 - 149/3*c_1001_4^6 + 70/9*c_1001_4^5 + 58*c_1001_4^4 + 122/9*c_1001_4^3 + 14*c_1001_4^2 + 146/9*c_1001_4 + 41/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB