Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 3414841102] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1692 geometric_solution 5.40967197 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.618897147130 0.785723816335 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 -1 1 -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 -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 0.177340640216 0.506662684495 3 1 4 5 2310 0132 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 1 -1 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 0.655187530709 1.647045729245 4 6 2 1 1230 0132 3201 0132 0 0 0 0 0 -1 0 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 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 0 0 0 0 0 0 0 -0.089317768960 0.597959823802 6 3 6 2 3201 3012 1302 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 -1 1 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 0.563873287061 0.152081094277 6 5 2 5 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.111000681539 0.959575539108 4 3 5 4 2031 0132 1302 2310 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 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 0.888999318461 0.959575539108 ==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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], '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_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' : d['c_0011_0'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0110_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0011_4'], '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_3, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 379660916234613227/41055018802210877*c_0110_5^20 - 2381489201358867433/41055018802210877*c_0110_5^18 + 39193610824558945450/41055018802210877*c_0110_5^16 + 229988250196260521991/41055018802210877*c_0110_5^14 - 23645658807222033382/1415690303524513*c_0110_5^12 + 1306765993114595388292/41055018802210877*c_0110_5^10 - 916048122672251961636/41055018802210877*c_0110_5^8 + 364468494850643083600/41055018802210877*c_0110_5^6 - 144136705453958283613/41055018802210877*c_0110_5^4 + 38681837628735670086/41055018802210877*c_0110_5^2 - 3488826196887734289/41055018802210877, c_0011_0 - 1, c_0011_3 - 6771074132364832/41055018802210877*c_0110_5^20 - 130113149700812080/123165056406632631*c_0110_5^18 + 693591230828845275/41055018802210877*c_0110_5^16 + 12588428985834082945/123165056406632631*c_0110_5^14 - 1211074742528323244/4247070910573539*c_0110_5^12 + 64560954087698549393/123165056406632631*c_0110_5^10 - 39006552070482863545/123165056406632631*c_0110_5^8 + 11831644743769072681/123165056406632631*c_0110_5^6 - 5611833786673121192/123165056406632631*c_0110_5^4 + 1307359962002986546/123165056406632631*c_0110_5^2 - 23345274239220602/123165056406632631, c_0011_4 + 255360211672553/4247070910573539*c_0110_5^21 + 1748074903984817/4247070910573539*c_0110_5^19 - 25507280203019585/4247070910573539*c_0110_5^17 - 56744100142491031/1415690303524513*c_0110_5^15 + 378837975511913905/4247070910573539*c_0110_5^13 - 571966252807294106/4247070910573539*c_0110_5^11 + 8909374563756601/1415690303524513*c_0110_5^9 + 255289122533821100/4247070910573539*c_0110_5^7 - 67095647665726333/4247070910573539*c_0110_5^5 + 28121551705085315/4247070910573539*c_0110_5^3 - 15633946056906362/4247070910573539*c_0110_5, c_0011_5 + 1747058603044573/41055018802210877*c_0110_5^20 + 31126985747250371/123165056406632631*c_0110_5^18 - 184336663648989262/41055018802210877*c_0110_5^16 - 3000696955483905083/123165056406632631*c_0110_5^14 + 366390163955481112/4247070910573539*c_0110_5^12 - 20588177368968348766/123165056406632631*c_0110_5^10 + 17027535502479752642/123165056406632631*c_0110_5^8 - 6265903303730110904/123165056406632631*c_0110_5^6 + 1930009148114280232/123165056406632631*c_0110_5^4 - 595015697717772617/123165056406632631*c_0110_5^2 - 32706374584800872/123165056406632631, c_0101_0 + 1562438297543246/1415690303524513*c_0110_5^21 + 28900184137822184/4247070910573539*c_0110_5^19 - 162440210365442820/1415690303524513*c_0110_5^17 - 2789589438006004739/4247070910573539*c_0110_5^15 + 8798533168443974429/4247070910573539*c_0110_5^13 - 16851358003555242037/4247070910573539*c_0110_5^11 + 12616982094910795295/4247070910573539*c_0110_5^9 - 4947152158868673461/4247070910573539*c_0110_5^7 + 1976066798534643850/4247070910573539*c_0110_5^5 - 559249937162273525/4247070910573539*c_0110_5^3 + 52672016205230275/4247070910573539*c_0110_5, c_0101_2 + 45473450064430643/123165056406632631*c_0110_5^21 + 290112073256719063/123165056406632631*c_0110_5^19 - 4665263696248441016/123165056406632631*c_0110_5^17 - 28059965618208412943/123165056406632631*c_0110_5^15 + 911739596305721563/1415690303524513*c_0110_5^13 - 48902251705436924913/41055018802210877*c_0110_5^11 + 91223520654922550945/123165056406632631*c_0110_5^9 - 9535396671146859463/41055018802210877*c_0110_5^7 + 4063769728811447814/41055018802210877*c_0110_5^5 - 652051093237442532/41055018802210877*c_0110_5^3 - 229421559698175142/123165056406632631*c_0110_5, c_0110_5^22 + 6*c_0110_5^20 - 105*c_0110_5^18 - 578*c_0110_5^16 + 1977*c_0110_5^14 - 3898*c_0110_5^12 + 3264*c_0110_5^10 - 1458*c_0110_5^8 + 568*c_0110_5^6 - 179*c_0110_5^4 + 26*c_0110_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB