Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 913812248] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2580 geometric_solution 5.87892567 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 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 -0.620414283038 3.344024944138 2 3 4 0 1302 0132 0132 0132 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 1 0 -1 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 -0.346690566184 0.416928043173 3 1 0 4 3120 2031 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 -1 1 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 0.314663106310 0.398314487988 5 1 6 2 0132 0132 0132 3120 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 -1 1 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 0.806213516250 0.915858403705 6 6 2 1 1302 3201 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221129142733 1.045083123224 3 6 5 5 0132 2031 1230 3012 0 0 0 0 0 -1 0 1 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 0.471190994934 0.652384758616 5 4 4 3 1302 2031 2310 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 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 0.458472559831 0.615175070771 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_1100_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_1'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0011_1'], 'c_1010_1' : d['c_0011_4'], '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_1, c_0011_2, c_0011_4, c_0011_6, c_0101_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 236114332889229958049/25619294987462081536*c_1100_0^14 - 1289500496208729684313/12809647493731040768*c_1100_0^13 - 10641275891905976158339/25619294987462081536*c_1100_0^12 - 19001274149879780205215/25619294987462081536*c_1100_0^11 - 3753051106850206897887/12809647493731040768*c_1100_0^10 + 4119136401867358080933/3202411873432760192*c_1100_0^9 + 49982431304467233565571/12809647493731040768*c_1100_0^8 + 2261417397298660197787/624860853352733696*c_1100_0^7 - 20119574367473021811399/3202411873432760192*c_1100_0^6 - 104321943089946895895861/12809647493731040768*c_1100_0^5 + 9050468963889316678093/6404823746865520384*c_1100_0^4 - 59513886233276973707249/25619294987462081536*c_1100_0^3 + 58780646334635794301137/3202411873432760192*c_1100_0^2 - 12476319547306828418295/1601205936716380096*c_1100_0 - 526686431426275124223/200150742089547512, c_0011_0 - 1, c_0011_1 - 1734696151821949/19526901667272928*c_1100_0^14 - 2379528710576029/2440862708409116*c_1100_0^13 - 79218403245726251/19526901667272928*c_1100_0^12 - 144481213478752141/19526901667272928*c_1100_0^11 - 4164917363907223/1220431354204558*c_1100_0^10 + 57262778702510439/4881725416818232*c_1100_0^9 + 368226783318069623/9763450833636464*c_1100_0^8 + 723635631897188891/19526901667272928*c_1100_0^7 - 553050176534997175/9763450833636464*c_1100_0^6 - 760298151412969445/9763450833636464*c_1100_0^5 + 23237878277610835/2440862708409116*c_1100_0^4 - 515496147202202533/19526901667272928*c_1100_0^3 + 1691732841296536421/9763450833636464*c_1100_0^2 - 171828577256042727/2440862708409116*c_1100_0 - 13888078345839603/610215677102279, c_0011_2 + 2611818075615567/39053803334545856*c_1100_0^14 + 14269449795344119/19526901667272928*c_1100_0^13 + 117927344552419021/39053803334545856*c_1100_0^12 + 211650438789711729/39053803334545856*c_1100_0^11 + 43756563419218641/19526901667272928*c_1100_0^10 - 44846818813052355/4881725416818232*c_1100_0^9 - 554054965472189357/19526901667272928*c_1100_0^8 - 1049286145219319165/39053803334545856*c_1100_0^7 + 216341328156246809/4881725416818232*c_1100_0^6 + 1140596239537643291/19526901667272928*c_1100_0^5 - 84368552452257475/9763450833636464*c_1100_0^4 + 736702617029935359/39053803334545856*c_1100_0^3 - 645455149493301503/4881725416818232*c_1100_0^2 + 135845997410022193/2440862708409116*c_1100_0 + 10380623902041946/610215677102279, c_0011_4 - 42850174021737/19526901667272928*c_1100_0^14 - 123778500777057/4881725416818232*c_1100_0^13 - 2240180778817615/19526901667272928*c_1100_0^12 - 4833518407077789/19526901667272928*c_1100_0^11 - 1090566929689887/4881725416818232*c_1100_0^10 + 770222110978463/4881725416818232*c_1100_0^9 + 9721170116533491/9763450833636464*c_1100_0^8 + 27943107232229751/19526901667272928*c_1100_0^7 - 6630074556861465/9763450833636464*c_1100_0^6 - 22907897742114541/9763450833636464*c_1100_0^5 - 589484996132647/610215677102279*c_1100_0^4 - 25879286247166001/19526901667272928*c_1100_0^3 + 38231898473706419/9763450833636464*c_1100_0^2 + 853817004716039/1220431354204558*c_1100_0 - 697820512528688/610215677102279, c_0011_6 + 1563144606504237/39053803334545856*c_1100_0^14 + 8490076063672975/19526901667272928*c_1100_0^13 + 69280071901671135/39053803334545856*c_1100_0^12 + 119897497846498543/39053803334545856*c_1100_0^11 + 17123328696201281/19526901667272928*c_1100_0^10 - 3764183399964646/610215677102279*c_1100_0^9 - 338326744332286343/19526901667272928*c_1100_0^8 - 587575054815156591/39053803334545856*c_1100_0^7 + 286691969820345151/9763450833636464*c_1100_0^6 + 710159144253892745/19526901667272928*c_1100_0^5 - 69076147164790887/9763450833636464*c_1100_0^4 + 350752526848139277/39053803334545856*c_1100_0^3 - 810935214863638837/9763450833636464*c_1100_0^2 + 44559047090922697/1220431354204558*c_1100_0 + 6939817858664611/610215677102279, c_0101_3 + 350244912223971/78107606669091712*c_1100_0^14 + 1861652509111103/39053803334545856*c_1100_0^13 + 14583088331400505/78107606669091712*c_1100_0^12 + 22643938926830293/78107606669091712*c_1100_0^11 - 533955063361543/39053803334545856*c_1100_0^10 - 7485204932100037/9763450833636464*c_1100_0^9 - 69312329303125513/39053803334545856*c_1100_0^8 - 81187020033638121/78107606669091712*c_1100_0^7 + 20368089586527731/4881725416818232*c_1100_0^6 + 147982565351663663/39053803334545856*c_1100_0^5 - 42958939289999427/19526901667272928*c_1100_0^4 - 7180592719562637/78107606669091712*c_1100_0^3 - 52089105197636779/4881725416818232*c_1100_0^2 + 31166404478217391/4881725416818232*c_1100_0 + 1024426896919701/610215677102279, c_1100_0^15 + 10*c_1100_0^14 + 35*c_1100_0^13 + 39*c_1100_0^12 - 42*c_1100_0^11 - 168*c_1100_0^10 - 294*c_1100_0^9 - 3*c_1100_0^8 + 1040*c_1100_0^7 + 250*c_1100_0^6 - 964*c_1100_0^5 + 401*c_1100_0^4 - 2224*c_1100_0^3 + 2688*c_1100_0^2 - 512*c_1100_0 - 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB