Magma V2.19-8 Tue Aug 20 2013 16:16:07 on localhost [Seed = 947496183] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0382 geometric_solution 4.44866402 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381778225797 1.345013189111 0 4 2 3 0132 1302 1302 2031 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804698548089 0.688051363129 1 0 5 5 2031 0132 2310 0132 0 0 0 0 0 1 0 -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 -1 0 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 1.910802274768 1.998551456975 6 1 6 0 0132 1302 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505500983756 0.352029227451 4 4 0 1 1230 3012 0132 2031 0 0 0 0 0 0 -1 1 1 0 0 -1 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.824293550220 1.652525924865 5 2 2 5 3201 3201 0132 2310 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 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 -0.552987060921 0.236358745429 3 6 3 6 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 0.563565734268 0.076724808216 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], '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_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 32394586068700545717031/6302808787092671948125*c_0101_3^14 + 519995555148955110077461/6302808787092671948125*c_0101_3^13 + 2318298602338648639886241/6302808787092671948125*c_0101_3^12 + 4783681801782423766816203/6302808787092671948125*c_0101_3^11 + 4584503843764681186220414/6302808787092671948125*c_0101_3^10 - 5765115671997552288190281/6302808787092671948125*c_0101_3^9 - 14203385893326777448946736/6302808787092671948125*c_0101_3^8 - 3047798521539427840168163/6302808787092671948125*c_0101_3^7 - 901863367848918801457117/1260561757418534389625*c_0101_3^6 - 9102456270490639344787152/6302808787092671948125*c_0101_3^5 + 1742174781632019564300327/1260561757418534389625*c_0101_3^4 + 1808409977711194042959142/1260561757418534389625*c_0101_3^3 - 1146235962878970481951701/6302808787092671948125*c_0101_3^2 + 114309742215945224670766/6302808787092671948125*c_0101_3 + 782419407249090092678173/6302808787092671948125, c_0011_0 - 1, c_0011_3 + 11987062905342828159/10084494059348275117*c_0101_3^14 + 186051038178781605502/10084494059348275117*c_0101_3^13 + 762063100904461480109/10084494059348275117*c_0101_3^12 + 1410755470047109983715/10084494059348275117*c_0101_3^11 + 1118556969577357053894/10084494059348275117*c_0101_3^10 - 2447241126358205807520/10084494059348275117*c_0101_3^9 - 3794384161825009618897/10084494059348275117*c_0101_3^8 + 208880926093307815114/10084494059348275117*c_0101_3^7 - 2434018172268037476489/10084494059348275117*c_0101_3^6 - 1752051774398092077182/10084494059348275117*c_0101_3^5 + 3406566676897596933922/10084494059348275117*c_0101_3^4 + 1438117910873565839086/10084494059348275117*c_0101_3^3 - 309638739965303461346/10084494059348275117*c_0101_3^2 + 199682006137850336856/10084494059348275117*c_0101_3 + 118035843316737067845/10084494059348275117, c_0011_4 + 10007183118399915056/10084494059348275117*c_0101_3^14 + 153641465109932921509/10084494059348275117*c_0101_3^13 + 611022948960500041986/10084494059348275117*c_0101_3^12 + 1084256271718499969531/10084494059348275117*c_0101_3^11 + 783260374645940597357/10084494059348275117*c_0101_3^10 - 2129991176825848942079/10084494059348275117*c_0101_3^9 - 2795448480471149109933/10084494059348275117*c_0101_3^8 + 496667143278605935767/10084494059348275117*c_0101_3^7 - 2188527140479558076648/10084494059348275117*c_0101_3^6 - 1001174782779945682723/10084494059348275117*c_0101_3^5 + 2829268599544842710936/10084494059348275117*c_0101_3^4 + 786101271132408970252/10084494059348275117*c_0101_3^3 - 257109269454436726467/10084494059348275117*c_0101_3^2 + 161587013722165529755/10084494059348275117*c_0101_3 + 68718436292061242178/10084494059348275117, c_0011_5 + 15962119702869581958/10084494059348275117*c_0101_3^14 + 246887349502196288389/10084494059348275117*c_0101_3^13 + 1001698574725586797626/10084494059348275117*c_0101_3^12 + 1828033787896483291265/10084494059348275117*c_0101_3^11 + 1402969530697263814351/10084494059348275117*c_0101_3^10 - 3317171632157137863164/10084494059348275117*c_0101_3^9 - 4867232353112708294764/10084494059348275117*c_0101_3^8 + 486703929386814217145/10084494059348275117*c_0101_3^7 - 3294750335030306009545/10084494059348275117*c_0101_3^6 - 2121114536500215770099/10084494059348275117*c_0101_3^5 + 4569188744754357394074/10084494059348275117*c_0101_3^4 + 1688088972819183179537/10084494059348275117*c_0101_3^3 - 452225941898840162034/10084494059348275117*c_0101_3^2 + 256524200042551350201/10084494059348275117*c_0101_3 + 153106128237569942187/10084494059348275117, c_0101_0 + 15192343633176308642/10084494059348275117*c_0101_3^14 + 234884932358113683382/10084494059348275117*c_0101_3^13 + 952088089504230892873/10084494059348275117*c_0101_3^12 + 1736587261399536962473/10084494059348275117*c_0101_3^11 + 1334218912889642018101/10084494059348275117*c_0101_3^10 - 3150853039803427696932/10084494059348275117*c_0101_3^9 - 4607821094343304352449/10084494059348275117*c_0101_3^8 + 443284453143914520327/10084494059348275117*c_0101_3^7 - 3178648617747998981913/10084494059348275117*c_0101_3^6 - 1977334043731174903119/10084494059348275117*c_0101_3^5 + 4330202686086793855223/10084494059348275117*c_0101_3^4 + 1595628807170941110678/10084494059348275117*c_0101_3^3 - 379221008361189436579/10084494059348275117*c_0101_3^2 + 259285309692350420398/10084494059348275117*c_0101_3 + 133536848067854914500/10084494059348275117, c_0101_2 - 12893372766176188969/10084494059348275117*c_0101_3^14 - 199509206723657205258/10084494059348275117*c_0101_3^13 - 810660000725255500056/10084494059348275117*c_0101_3^12 - 1484980164424697789554/10084494059348275117*c_0101_3^11 - 1153372774214234263460/10084494059348275117*c_0101_3^10 + 2656365929241378638905/10084494059348275117*c_0101_3^9 + 3940481577752536780214/10084494059348275117*c_0101_3^8 - 325322618154107346289/10084494059348275117*c_0101_3^7 + 2676758650281270202685/10084494059348275117*c_0101_3^6 + 1722620185890492242670/10084494059348275117*c_0101_3^5 - 3612735041915101976385/10084494059348275117*c_0101_3^4 - 1423120690446755699496/10084494059348275117*c_0101_3^3 + 337666823573287958997/10084494059348275117*c_0101_3^2 - 209190301543663296644/10084494059348275117*c_0101_3 - 127847617496656160255/10084494059348275117, c_0101_3^15 + 16*c_0101_3^14 + 71*c_0101_3^13 + 148*c_0101_3^12 + 149*c_0101_3^11 - 161*c_0101_3^10 - 416*c_0101_3^9 - 133*c_0101_3^8 - 190*c_0101_3^7 - 242*c_0101_3^6 + 215*c_0101_3^5 + 260*c_0101_3^4 + 29*c_0101_3^3 + c_0101_3^2 + 18*c_0101_3 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB