Magma V2.19-8 Tue Aug 20 2013 16:16:26 on localhost [Seed = 3734979121] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0722 geometric_solution 4.67242713 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.962697209170 0.173874430124 0 2 2 0 3201 0132 1023 0132 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 -1 0 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 1.775869506128 0.431101532269 3 1 1 3 0132 0132 1023 3201 0 0 0 0 0 -1 0 1 -1 0 1 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 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 -0.165979290815 0.342053197109 2 2 5 4 0132 2310 0132 0132 0 0 0 0 0 -1 1 0 1 0 0 -1 1 0 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.107671851159 1.045811777466 6 5 3 5 0132 1023 0132 3012 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 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 0.454059637640 1.082143105648 4 6 4 3 1023 3201 1230 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454059637640 1.082143105648 4 6 5 6 0132 2310 2310 3201 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 -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 -0.329696751706 0.785753758400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : 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' : 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' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_2'], '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_1, c_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 8493156306553180077/15377868981660443*c_0101_3*c_0101_6^13 + 46904804304543125096/15377868981660443*c_0101_3*c_0101_6^12 - 1298404340217411746/15377868981660443*c_0101_3*c_0101_6^11 - 487027018094994583400/15377868981660443*c_0101_3*c_0101_6^10 + 520594180755945682210/15377868981660443*c_0101_3*c_0101_6^9 + 467300348878698940458/15377868981660443*c_0101_3*c_0101_6^8 + 810639002742556063948/15377868981660443*c_0101_3*c_0101_6^7 + 1888601113084390927370/15377868981660443*c_0101_3*c_0101_6^6 - 3098962246950184051609/15377868981660443*c_0101_3*c_0101_6^5 - 3452899311785341105470/15377868981660443*c_0101_3*c_0101_6^4 + 1610489756482287315931/15377868981660443*c_0101_3*c_0101_6^3 + 1515163119992276830696/15377868981660443*c_0101_3*c_0101_6^2 - 134805699787259181838/15377868981660443*c_0101_3*c_0101_6 - 150075833108595571211/15377868981660443*c_0101_3, c_0011_0 - 1, c_0011_1 + 2843093757803853/15377868981660443*c_0101_6^13 - 16781040274051866/15377868981660443*c_0101_6^12 + 7402006334342394/15377868981660443*c_0101_6^11 + 156703046549257193/15377868981660443*c_0101_6^10 - 232106575171992066/15377868981660443*c_0101_6^9 - 35914741230060818/15377868981660443*c_0101_6^8 - 306768006364685856/15377868981660443*c_0101_6^7 - 518587873825512987/15377868981660443*c_0101_6^6 + 1167515699430303877/15377868981660443*c_0101_6^5 + 602191231146371136/15377868981660443*c_0101_6^4 - 537406465587626263/15377868981660443*c_0101_6^3 - 201454273380128649/15377868981660443*c_0101_6^2 + 13209643186708490/15377868981660443*c_0101_6 + 12546241947255061/15377868981660443, c_0011_4 + 3647723852670479/15377868981660443*c_0101_3*c_0101_6^13 - 23203369724372143/15377868981660443*c_0101_3*c_0101_6^12 + 19012834722555640/15377868981660443*c_0101_3*c_0101_6^11 + 199364862461195340/15377868981660443*c_0101_3*c_0101_6^10 - 394461625036354759/15377868981660443*c_0101_3*c_0101_6^9 + 74066679466879148/15377868981660443*c_0101_3*c_0101_6^8 - 315442188808824593/15377868981660443*c_0101_3*c_0101_6^7 - 538693140645551577/15377868981660443*c_0101_3*c_0101_6^6 + 1871665919447069325/15377868981660443*c_0101_3*c_0101_6^5 + 67128077921099655/15377868981660443*c_0101_3*c_0101_6^4 - 1244184951615664083/15377868981660443*c_0101_3*c_0101_6^3 + 204707117176893928/15377868981660443*c_0101_3*c_0101_6^2 + 177828962279767249/15377868981660443*c_0101_3*c_0101_6 - 24346113264321154/15377868981660443*c_0101_3, c_0101_1 - 7643141912556203/15377868981660443*c_0101_3*c_0101_6^13 + 46104915477305084/15377868981660443*c_0101_3*c_0101_6^12 - 25353063092431169/15377868981660443*c_0101_3*c_0101_6^11 - 421792647189306956/15377868981660443*c_0101_3*c_0101_6^10 + 684405415002842721/15377868981660443*c_0101_3*c_0101_6^9 + 33550204452179894/15377868981660443*c_0101_3*c_0101_6^8 + 740658009196444490/15377868981660443*c_0101_3*c_0101_6^7 + 1360386336046458386/15377868981660443*c_0101_3*c_0101_6^6 - 3389231412669917723/15377868981660443*c_0101_3*c_0101_6^5 - 1192516502048445903/15377868981660443*c_0101_3*c_0101_6^4 + 1901225473368197095/15377868981660443*c_0101_3*c_0101_6^3 + 93387789801928965/15377868981660443*c_0101_3*c_0101_6^2 - 189647170158377463/15377868981660443*c_0101_3*c_0101_6 + 51559030084547462/15377868981660443*c_0101_3, c_0101_2 - 1317026608349269/15377868981660443*c_0101_6^13 + 8069663164544203/15377868981660443*c_0101_6^12 - 4907673288351484/15377868981660443*c_0101_6^11 - 73461926001352607/15377868981660443*c_0101_6^10 + 125134813404265854/15377868981660443*c_0101_6^9 + 5557510226177559/15377868981660443*c_0101_6^8 + 114249428982464164/15377868981660443*c_0101_6^7 + 222894738040012817/15377868981660443*c_0101_6^6 - 644178073349643750/15377868981660443*c_0101_6^5 - 193640482046566131/15377868981660443*c_0101_6^4 + 387093309810417878/15377868981660443*c_0101_6^3 + 24624560467607131/15377868981660443*c_0101_6^2 - 16263691988001669/15377868981660443*c_0101_6 + 3647723852670479/15377868981660443, c_0101_3^2 - 79414866321063/15377868981660443*c_0101_6^13 + 175900496311534/15377868981660443*c_0101_6^12 + 1665523762297167/15377868981660443*c_0101_6^11 - 6201808156493985/15377868981660443*c_0101_6^10 - 7936883175553653/15377868981660443*c_0101_6^9 + 31667085200110165/15377868981660443*c_0101_6^8 - 10327463188538098/15377868981660443*c_0101_6^7 + 65586543393863386/15377868981660443*c_0101_6^6 - 3299871691644600/15377868981660443*c_0101_6^5 - 131157428482720973/15377868981660443*c_0101_6^4 + 32977103589486677/15377868981660443*c_0101_6^3 + 128806164992411/15377868981660443*c_0101_6^2 - 5658821111128621/15377868981660443*c_0101_6 - 1023077218611872/15377868981660443, c_0101_6^14 - 6*c_0101_6^13 + 3*c_0101_6^12 + 56*c_0101_6^11 - 88*c_0101_6^10 - 14*c_0101_6^9 - 88*c_0101_6^8 - 179*c_0101_6^7 + 452*c_0101_6^6 + 195*c_0101_6^5 - 288*c_0101_6^4 - 50*c_0101_6^3 + 42*c_0101_6^2 + 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB