Magma V2.19-8 Tue Aug 20 2013 16:15:57 on localhost [Seed = 1696921945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0178 geometric_solution 3.98937297 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0.463245064772 0.057737679356 2 0 3 0 0132 2310 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411091410221 0.207199582494 1 4 3 5 0132 0132 3012 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.924503004788 1.614466915264 6 2 4 1 0132 1230 3201 0132 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 0 0 0 -1 0 1 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 -0.924503004788 1.614466915264 3 2 5 6 2310 0132 2031 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.468830258529 2.524011479242 6 6 2 4 2310 1302 0132 1302 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 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.502782815972 0.889728544477 3 4 5 5 0132 1302 3201 2031 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 -1 1 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 -0.502782815972 0.889728544477 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 31557328047607672873/196660837765384030*c_0101_4^12 + 115129346732158466939/196660837765384030*c_0101_4^11 + 956793388511353068511/196660837765384030*c_0101_4^10 - 1790272989695495496793/98330418882692015*c_0101_4^9 - 1515087106382901603553/98330418882692015*c_0101_4^8 - 973192525798135050959/196660837765384030*c_0101_4^7 - 23880196421241652390999/196660837765384030*c_0101_4^6 - 3114292747499798768645/19666083776538403*c_0101_4^5 - 2589130238851757838171/196660837765384030*c_0101_4^4 + 6396972944038344157147/98330418882692015*c_0101_4^3 + 4159963726669449307422/98330418882692015*c_0101_4^2 + 584167424666765120439/39332167553076806*c_0101_4 + 182427838979308215409/98330418882692015, c_0011_0 - 1, c_0011_1 - 2474320303020747/19666083776538403*c_0101_4^12 + 11609602077197501/19666083776538403*c_0101_4^11 + 63397743012720349/19666083776538403*c_0101_4^10 - 348962980691455494/19666083776538403*c_0101_4^9 + 112682442214000680/19666083776538403*c_0101_4^8 - 131237627368869565/19666083776538403*c_0101_4^7 - 1720339880888082586/19666083776538403*c_0101_4^6 - 627419772316636001/19666083776538403*c_0101_4^5 + 820436833111546819/19666083776538403*c_0101_4^4 + 461213492805384557/19666083776538403*c_0101_4^3 + 113710482324161848/19666083776538403*c_0101_4^2 - 9695790170071113/19666083776538403*c_0101_4 - 20533785288335133/19666083776538403, c_0011_3 - c_0101_4, c_0011_5 - 1052733918364022/19666083776538403*c_0101_4^12 + 6574555848728929/19666083776538403*c_0101_4^11 + 18566826826865934/19666083776538403*c_0101_4^10 - 186528675937811444/19666083776538403*c_0101_4^9 + 295294568144100542/19666083776538403*c_0101_4^8 - 242617941204177515/19666083776538403*c_0101_4^7 - 551098925650163725/19666083776538403*c_0101_4^6 + 775058941311138547/19666083776538403*c_0101_4^5 + 304325109139076969/19666083776538403*c_0101_4^4 - 283880137642922438/19666083776538403*c_0101_4^3 - 78218916489063312/19666083776538403*c_0101_4^2 - 34538205063584707/19666083776538403*c_0101_4 + 12280850029692833/19666083776538403, c_0101_0 + 1018705759782624/19666083776538403*c_0101_4^12 - 4881051194973374/19666083776538403*c_0101_4^11 - 25679612602807534/19666083776538403*c_0101_4^10 + 146278302796660081/19666083776538403*c_0101_4^9 - 57969008278929843/19666083776538403*c_0101_4^8 + 55906011474176533/19666083776538403*c_0101_4^7 + 667273270396845211/19666083776538403*c_0101_4^6 + 233696989878382113/19666083776538403*c_0101_4^5 - 459881015916134324/19666083776538403*c_0101_4^4 - 287960613684927635/19666083776538403*c_0101_4^3 + 39403587656106100/19666083776538403*c_0101_4^2 + 36280640176513547/19666083776538403*c_0101_4 + 7177592148609933/19666083776538403, c_0101_1 + 2269855008901140/19666083776538403*c_0101_4^12 - 9384841440804406/19666083776538403*c_0101_4^11 - 64677557475753593/19666083776538403*c_0101_4^10 + 290834794960658411/19666083776538403*c_0101_4^9 + 87832270604853648/19666083776538403*c_0101_4^8 - 28067510512518035/19666083776538403*c_0101_4^7 + 1734057610827538356/19666083776538403*c_0101_4^6 + 1363951719284906430/19666083776538403*c_0101_4^5 - 763028880512701549/19666083776538403*c_0101_4^4 - 775802220173076538/19666083776538403*c_0101_4^3 - 179322666510870412/19666083776538403*c_0101_4^2 - 9811952450753457/19666083776538403*c_0101_4 + 17187717530601942/19666083776538403, c_0101_4^13 - 4*c_0101_4^12 - 29*c_0101_4^11 + 124*c_0101_4^10 + 55*c_0101_4^9 + c_0101_4^8 + 750*c_0101_4^7 + 722*c_0101_4^6 - 238*c_0101_4^5 - 395*c_0101_4^4 - 115*c_0101_4^3 - 17*c_0101_4^2 + 9*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB