Magma V2.19-8 Tue Aug 20 2013 16:17:39 on localhost [Seed = 762098123] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1887 geometric_solution 5.50767207 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693573615862 0.594314746777 0 5 5 2 0132 0132 3201 3012 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480570656150 0.163448338973 4 0 1 3 1230 0132 1230 1230 0 0 0 0 0 0 0 0 1 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685353356804 1.329244568307 2 6 6 0 3012 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.848536544221 0.351569757685 4 2 0 4 3012 3012 0132 1230 0 0 0 0 0 0 0 0 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 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150975862248 0.789655810267 1 1 5 5 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766417792234 1.221715476835 3 3 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.453293109684 0.459682334508 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : 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_6' : negation(d['c_0101_3']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_3'], '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' : d['c_0101_1'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 4238425441/75827963222*c_0101_6^11 - 342374031/6893451202*c_0101_6^10 + 19101716927/37913981611*c_0101_6^9 - 29538926035/75827963222*c_0101_6^8 + 106873604425/75827963222*c_0101_6^7 - 52297264089/37913981611*c_0101_6^6 + 53265215041/37913981611*c_0101_6^5 - 155948008395/75827963222*c_0101_6^4 + 75375718470/37913981611*c_0101_6^3 - 4247112191/6893451202*c_0101_6^2 + 24417144337/37913981611*c_0101_6 - 91247657587/75827963222, c_0011_0 - 1, c_0011_3 - 9448/4413221*c_0101_6^11 + 1877/4413221*c_0101_6^10 - 227044/4413221*c_0101_6^9 + 474738/4413221*c_0101_6^8 - 1885169/4413221*c_0101_6^7 + 4210036/4413221*c_0101_6^6 - 6258040/4413221*c_0101_6^5 + 12454170/4413221*c_0101_6^4 - 8513879/4413221*c_0101_6^3 + 11821084/4413221*c_0101_6^2 - 5057918/4413221*c_0101_6 + 5707578/4413221, c_0101_0 - 229934/4413221*c_0101_6^11 + 356773/4413221*c_0101_6^10 - 2098830/4413221*c_0101_6^9 + 2374025/4413221*c_0101_6^8 - 5230433/4413221*c_0101_6^7 + 3929216/4413221*c_0101_6^6 - 2467834/4413221*c_0101_6^5 - 4450173/4413221*c_0101_6^4 - 2169756/4413221*c_0101_6^3 - 9302719/4413221*c_0101_6^2 + 4136941/4413221*c_0101_6 - 7118925/4413221, c_0101_1 + 58737/4413221*c_0101_6^11 - 160676/4413221*c_0101_6^10 + 830423/4413221*c_0101_6^9 - 1291289/4413221*c_0101_6^8 + 3806604/4413221*c_0101_6^7 - 3391540/4413221*c_0101_6^6 + 7467302/4413221*c_0101_6^5 - 5202919/4413221*c_0101_6^4 + 5728124/4413221*c_0101_6^3 - 11411721/4413221*c_0101_6^2 + 2118553/4413221*c_0101_6 - 3928374/4413221, c_0101_3 - 44077/4413221*c_0101_6^11 + 58737/4413221*c_0101_6^10 - 601446/4413221*c_0101_6^9 + 786346/4413221*c_0101_6^8 - 2833984/4413221*c_0101_6^7 + 3850681/4413221*c_0101_6^6 - 5507236/4413221*c_0101_6^5 + 8392919/4413221*c_0101_6^4 - 6745614/4413221*c_0101_6^3 + 6697818/4413221*c_0101_6^2 - 7880040/4413221*c_0101_6 + 2471169/4413221, c_0101_5 + 9448/4413221*c_0101_6^11 - 1877/4413221*c_0101_6^10 + 227044/4413221*c_0101_6^9 - 474738/4413221*c_0101_6^8 + 1885169/4413221*c_0101_6^7 - 4210036/4413221*c_0101_6^6 + 6258040/4413221*c_0101_6^5 - 12454170/4413221*c_0101_6^4 + 8513879/4413221*c_0101_6^3 - 11821084/4413221*c_0101_6^2 + 5057918/4413221*c_0101_6 - 5707578/4413221, c_0101_6^12 + 10*c_0101_6^10 + c_0101_6^9 + 35*c_0101_6^8 - c_0101_6^7 + 48*c_0101_6^6 - 21*c_0101_6^5 + 35*c_0101_6^4 - 22*c_0101_6^3 + 20*c_0101_6^2 - 8*c_0101_6 + 11 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 5043106585/12928661*c_0101_6^11 - 19210245577/12928661*c_0101_6^10 - 104381198220/12928661*c_0101_6^9 + 261864691383/12928661*c_0101_6^8 + 793661737093/12928661*c_0101_6^7 - 510330267705/12928661*c_0101_6^6 - 1839287990546/12928661*c_0101_6^5 - 526162871022/12928661*c_0101_6^4 + 676428058795/12928661*c_0101_6^3 + 3736088588/155767*c_0101_6^2 - 30105795302/12928661*c_0101_6 - 19437532328/12928661, c_0011_0 - 1, c_0011_3 + 25662999/12928661*c_0101_6^11 - 109013170/12928661*c_0101_6^10 - 481258629/12928661*c_0101_6^9 + 1534119496/12928661*c_0101_6^8 + 3329990542/12928661*c_0101_6^7 - 3922694060/12928661*c_0101_6^6 - 7416180583/12928661*c_0101_6^5 + 206023683/12928661*c_0101_6^4 + 2889680980/12928661*c_0101_6^3 + 4883469/155767*c_0101_6^2 - 165668991/12928661*c_0101_6 - 11175005/12928661, c_0101_0 + 12124700/12928661*c_0101_6^11 - 41545479/12928661*c_0101_6^10 - 272881490/12928661*c_0101_6^9 + 553996758/12928661*c_0101_6^8 + 2216882696/12928661*c_0101_6^7 - 786717853/12928661*c_0101_6^6 - 5275366550/12928661*c_0101_6^5 - 2125775594/12928661*c_0101_6^4 + 1887978965/12928661*c_0101_6^3 + 12407717/155767*c_0101_6^2 - 51463916/12928661*c_0101_6 - 63980978/12928661, c_0101_1 - 2112629/12928661*c_0101_6^11 + 568423/12928661*c_0101_6^10 + 75051040/12928661*c_0101_6^9 + 32798042/12928661*c_0101_6^8 - 773035443/12928661*c_0101_6^7 - 788325229/12928661*c_0101_6^6 + 1882476733/12928661*c_0101_6^5 + 2473325638/12928661*c_0101_6^4 - 302237674/12928661*c_0101_6^3 - 12186760/155767*c_0101_6^2 - 90367529/12928661*c_0101_6 + 63351126/12928661, c_0101_3 + 29221958/12928661*c_0101_6^11 - 115451217/12928661*c_0101_6^10 - 588440897/12928661*c_0101_6^9 + 1601821389/12928661*c_0101_6^8 + 4364787365/12928661*c_0101_6^7 - 3592106021/12928661*c_0101_6^6 - 10052018038/12928661*c_0101_6^5 - 1534924408/12928661*c_0101_6^4 + 3853959845/12928661*c_0101_6^3 + 13109204/155767*c_0101_6^2 - 202419939/12928661*c_0101_6 - 51332782/12928661, c_0101_5 + 25662999/12928661*c_0101_6^11 - 109013170/12928661*c_0101_6^10 - 481258629/12928661*c_0101_6^9 + 1534119496/12928661*c_0101_6^8 + 3329990542/12928661*c_0101_6^7 - 3922694060/12928661*c_0101_6^6 - 7416180583/12928661*c_0101_6^5 + 206023683/12928661*c_0101_6^4 + 2889680980/12928661*c_0101_6^3 + 4883469/155767*c_0101_6^2 - 165668991/12928661*c_0101_6 + 1753656/12928661, c_0101_6^12 - 4*c_0101_6^11 - 20*c_0101_6^10 + 56*c_0101_6^9 + 148*c_0101_6^8 - 133*c_0101_6^7 - 349*c_0101_6^6 - 30*c_0101_6^5 + 162*c_0101_6^4 + 35*c_0101_6^3 - 21*c_0101_6^2 - 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB