Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 1916006071] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0270 geometric_solution 4.31597460 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 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 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 -1.564821456518 0.317250337713 0 0 2 2 0132 2310 3201 0132 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 1 0 0 -1 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 0.361289090312 0.152774274592 1 3 1 4 2310 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 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 0.602982431785 0.551184556396 4 2 5 5 3201 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 -1 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 -1.151790997801 1.578984225260 6 6 2 3 0132 3201 0132 2310 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 1 -1 0 1 0 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 -1.151790997801 1.578984225260 3 6 3 6 2310 1302 0132 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 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 -0.127186184614 0.838170199850 4 5 4 5 0132 1302 2310 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.127186184614 0.838170199850 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_3'], '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_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 46433385972160695117392/81742248140235221165*c_0101_3^14 - 84497177003096925514196/81742248140235221165*c_0101_3^13 + 296227631732529161206562/81742248140235221165*c_0101_3^12 + 2174073687761788788085497/81742248140235221165*c_0101_3^11 + 5106780278598963033399456/81742248140235221165*c_0101_3^10 + 5884785234505152802978603/81742248140235221165*c_0101_3^9 + 4818549886049045486569266/81742248140235221165*c_0101_3^8 + 183803124379234153638377/4302223586328169535*c_0101_3^7 + 9730023205559137566282079/81742248140235221165*c_0101_3^6 - 545878288316562442182329/16348449628047044233*c_0101_3^5 + 2834840049488353911123981/81742248140235221165*c_0101_3^4 + 1004499260023930719820589/81742248140235221165*c_0101_3^3 - 198023753285701238540815/16348449628047044233*c_0101_3^2 - 215031058069939411297416/81742248140235221165*c_0101_3 - 77935128689629893359008/81742248140235221165, c_0011_0 - 1, c_0011_2 - 5120802844580462120/16348449628047044233*c_0101_3^14 - 8768830443043811760/16348449628047044233*c_0101_3^13 + 33656628374788156712/16348449628047044233*c_0101_3^12 + 236100691763761178171/16348449628047044233*c_0101_3^11 + 537219784583052437426/16348449628047044233*c_0101_3^10 + 589916142944599259131/16348449628047044233*c_0101_3^9 + 469935260171261160713/16348449628047044233*c_0101_3^8 + 18260440896973165769/860444717265633907*c_0101_3^7 + 1052965211297285052487/16348449628047044233*c_0101_3^6 - 403359397763940912401/16348449628047044233*c_0101_3^5 + 354701486935649976482/16348449628047044233*c_0101_3^4 + 113087782863767556347/16348449628047044233*c_0101_3^3 - 103892071961237348542/16348449628047044233*c_0101_3^2 - 20289511736026430636/16348449628047044233*c_0101_3 - 1792142420161901887/16348449628047044233, c_0011_4 - 4974439366789734344/16348449628047044233*c_0101_3^14 - 10519343702788852016/16348449628047044233*c_0101_3^13 + 29722979551221353400/16348449628047044233*c_0101_3^12 + 242919024553524470863/16348449628047044233*c_0101_3^11 + 611036147283448782190/16348449628047044233*c_0101_3^10 + 765556624612134561199/16348449628047044233*c_0101_3^9 + 652957530976423888385/16348449628047044233*c_0101_3^8 + 25288475743943501549/860444717265633907*c_0101_3^7 + 1094117543229509205375/16348449628047044233*c_0101_3^6 - 57107197388382684757/16348449628047044233*c_0101_3^5 + 57622463288934691482/16348449628047044233*c_0101_3^4 + 321021531541627223884/16348449628047044233*c_0101_3^3 - 211930384308608006174/16348449628047044233*c_0101_3^2 - 16453186965787292252/16348449628047044233*c_0101_3 - 13022368066846182675/16348449628047044233, c_0011_5 + 4974439366789734344/16348449628047044233*c_0101_3^14 + 10519343702788852016/16348449628047044233*c_0101_3^13 - 29722979551221353400/16348449628047044233*c_0101_3^12 - 242919024553524470863/16348449628047044233*c_0101_3^11 - 611036147283448782190/16348449628047044233*c_0101_3^10 - 765556624612134561199/16348449628047044233*c_0101_3^9 - 652957530976423888385/16348449628047044233*c_0101_3^8 - 25288475743943501549/860444717265633907*c_0101_3^7 - 1094117543229509205375/16348449628047044233*c_0101_3^6 + 57107197388382684757/16348449628047044233*c_0101_3^5 - 57622463288934691482/16348449628047044233*c_0101_3^4 - 321021531541627223884/16348449628047044233*c_0101_3^3 + 211930384308608006174/16348449628047044233*c_0101_3^2 + 16453186965787292252/16348449628047044233*c_0101_3 + 13022368066846182675/16348449628047044233, c_0101_0 + 54687413789324173328/16348449628047044233*c_0101_3^14 + 73967024293155680300/16348449628047044233*c_0101_3^13 - 383520130662034744710/16348449628047044233*c_0101_3^12 - 2381501184169522877515/16348449628047044233*c_0101_3^11 - 4901283050280368589096/16348449628047044233*c_0101_3^10 - 4637194959463210644246/16348449628047044233*c_0101_3^9 - 3501455316625172712142/16348449628047044233*c_0101_3^8 - 130156086201803311205/860444717265633907*c_0101_3^7 - 10300878729537211239113/16348449628047044233*c_0101_3^6 + 8049593052676609169347/16348449628047044233*c_0101_3^5 - 7041581244652250398494/16348449628047044233*c_0101_3^4 + 2148000106480197738839/16348449628047044233*c_0101_3^3 + 182420278256275313779/16348449628047044233*c_0101_3^2 + 211212682523503025177/16348449628047044233*c_0101_3 + 9660816905889035457/16348449628047044233, c_0101_1 - 29601036978516494620/16348449628047044233*c_0101_3^14 - 39196219898948026230/16348449628047044233*c_0101_3^13 + 208725309620071680263/16348449628047044233*c_0101_3^12 + 1282515309681544213041/16348449628047044233*c_0101_3^11 + 2615149478430875883495/16348449628047044233*c_0101_3^10 + 2438909027336590583845/16348449628047044233*c_0101_3^9 + 1854823139213800553462/16348449628047044233*c_0101_3^8 + 71460535836431726752/860444717265633907*c_0101_3^7 + 5617647362895902480125/16348449628047044233*c_0101_3^6 - 4470828021908557818206/16348449628047044233*c_0101_3^5 + 3934406577056893057884/16348449628047044233*c_0101_3^4 - 1189011790278092707130/16348449628047044233*c_0101_3^3 - 98250702006653907712/16348449628047044233*c_0101_3^2 - 110021268449968534113/16348449628047044233*c_0101_3 - 5243622471899912632/16348449628047044233, c_0101_3^15 + 3/2*c_0101_3^14 - 27/4*c_0101_3^13 - 89/2*c_0101_3^12 - 193/2*c_0101_3^11 - 403/4*c_0101_3^10 - 82*c_0101_3^9 - 119/2*c_0101_3^8 - 397/2*c_0101_3^7 + 467/4*c_0101_3^6 - 477/4*c_0101_3^5 + 30*c_0101_3^4 + 1/2*c_0101_3^3 + 27/4*c_0101_3^2 + 3/4*c_0101_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB