Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 2345277106] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2455 geometric_solution 5.79709876 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 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 -1 1 0 -1 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 0.723942294890 1.045742471839 3 0 3 4 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443512531372 1.186168088384 4 5 0 6 1230 0132 0132 0132 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 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 0.948465458924 0.708147623703 1 6 1 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525465928658 0.270548968706 5 2 1 5 3012 3012 0132 3120 0 0 0 0 0 -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 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 -0.753972866906 0.688644712278 4 2 6 4 3120 0132 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949504036995 0.574572973622 5 3 2 3 2031 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572259202401 0.492009151043 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0011_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_3']})} 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_2, c_0011_4, c_0011_6, c_0101_1, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2039138379268698842/1436752003144581175*c_0110_6^13 + 25613788526466163/35042731784014175*c_0110_6^12 - 18293206128003813203/1436752003144581175*c_0110_6^11 - 10287453180545248673/1436752003144581175*c_0110_6^10 - 13593228352537687924/1436752003144581175*c_0110_6^9 - 114956644478083856751/1436752003144581175*c_0110_6^8 + 3381037559938196983/1436752003144581175*c_0110_6^7 - 35812814998820849/110519384857275475*c_0110_6^6 + 59960255614510956756/1436752003144581175*c_0110_6^5 + 55172420042066649776/287350400628916235*c_0110_6^4 - 86457278626535461877/1436752003144581175*c_0110_6^3 - 93912330241539902324/1436752003144581175*c_0110_6^2 + 108416922384029151011/1436752003144581175*c_0110_6 - 17354866786921912078/1436752003144581175, c_0011_0 - 1, c_0011_2 - 10169462494491/107823790104659*c_0110_6^13 + 8944541662665/107823790104659*c_0110_6^12 - 93057993089694/107823790104659*c_0110_6^11 - 19943171648422/107823790104659*c_0110_6^10 - 46315125928060/107823790104659*c_0110_6^9 - 567166685430874/107823790104659*c_0110_6^8 + 228640062090999/107823790104659*c_0110_6^7 - 30915762693840/107823790104659*c_0110_6^6 + 210067394072478/107823790104659*c_0110_6^5 + 1288551544315835/107823790104659*c_0110_6^4 - 993148273230762/107823790104659*c_0110_6^3 - 256153381721188/107823790104659*c_0110_6^2 + 797319163287320/107823790104659*c_0110_6 - 363221445711042/107823790104659, c_0011_4 - 19574753947086/107823790104659*c_0110_6^13 + 20997922357893/107823790104659*c_0110_6^12 - 177743164374504/107823790104659*c_0110_6^11 - 6024634154471/107823790104659*c_0110_6^10 - 40849625987274/107823790104659*c_0110_6^9 - 1047211406495663/107823790104659*c_0110_6^8 + 672315841840031/107823790104659*c_0110_6^7 + 131061878859136/107823790104659*c_0110_6^6 + 409516252267834/107823790104659*c_0110_6^5 + 2399323106571847/107823790104659*c_0110_6^4 - 2546909215138306/107823790104659*c_0110_6^3 - 622088432852465/107823790104659*c_0110_6^2 + 1924035868815536/107823790104659*c_0110_6 - 810433284600748/107823790104659, c_0011_6 - 14214028587815/107823790104659*c_0110_6^13 + 15600229807625/107823790104659*c_0110_6^12 - 128919599364571/107823790104659*c_0110_6^11 - 1297448977024/107823790104659*c_0110_6^10 - 23684613858195/107823790104659*c_0110_6^9 - 757505015082438/107823790104659*c_0110_6^8 + 523222804503949/107823790104659*c_0110_6^7 + 105948307531553/107823790104659*c_0110_6^6 + 315765710093529/107823790104659*c_0110_6^5 + 1752687477530389/107823790104659*c_0110_6^4 - 1918172542414762/107823790104659*c_0110_6^3 - 580683268936629/107823790104659*c_0110_6^2 + 1334618694919765/107823790104659*c_0110_6 - 556681021830670/107823790104659, c_0101_1 + 12712496856300/107823790104659*c_0110_6^13 - 15876065283722/107823790104659*c_0110_6^12 + 119248194786658/107823790104659*c_0110_6^11 - 21637700447872/107823790104659*c_0110_6^10 + 43665300949770/107823790104659*c_0110_6^9 + 637947181668209/107823790104659*c_0110_6^8 - 539044277130276/107823790104659*c_0110_6^7 + 23974148594122/107823790104659*c_0110_6^6 - 468680174906710/107823790104659*c_0110_6^5 - 1378618012841218/107823790104659*c_0110_6^4 + 1716708448471412/107823790104659*c_0110_6^3 + 252510646145900/107823790104659*c_0110_6^2 - 950999775588541/107823790104659*c_0110_6 + 427324683424372/107823790104659, c_0101_3 - 6189079579758/107823790104659*c_0110_6^13 + 5360725359271/107823790104659*c_0110_6^12 - 54910329188332/107823790104659*c_0110_6^11 - 13067230787647/107823790104659*c_0110_6^10 - 13840053561827/107823790104659*c_0110_6^9 - 329423444337369/107823790104659*c_0110_6^8 + 147357561078791/107823790104659*c_0110_6^7 + 98470145854238/107823790104659*c_0110_6^6 + 154369736485399/107823790104659*c_0110_6^5 + 816044156050121/107823790104659*c_0110_6^4 - 621879310722426/107823790104659*c_0110_6^3 - 398650537516284/107823790104659*c_0110_6^2 + 489628330907185/107823790104659*c_0110_6 - 230450558269807/107823790104659, c_0110_6^14 + 8*c_0110_6^12 + 10*c_0110_6^11 + 3*c_0110_6^10 + 56*c_0110_6^9 + 23*c_0110_6^8 - 40*c_0110_6^7 - 29*c_0110_6^6 - 147*c_0110_6^5 - 4*c_0110_6^4 + 166*c_0110_6^3 - 55*c_0110_6^2 - 58*c_0110_6 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB