Magma V2.19-8 Tue Aug 20 2013 23:39:20 on localhost [Seed = 2564750534] Type ? for help. Type -D to quit. Loading file "K13n2969__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2969 geometric_solution 9.18717531 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 3 -4 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684861494618 1.249726359168 0 5 5 6 0132 0132 3120 0132 0 0 0 0 0 1 -1 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 4 -4 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132305419406 0.503687305367 7 0 6 3 0132 0132 1302 1230 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 -1 1 0 0 0 0 0 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.633674009710 2.147014787269 2 8 9 0 3012 0132 0132 0132 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 3 -3 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 0.755502203995 0.403410694425 5 9 0 6 0132 1230 0132 2103 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 1 0 0 -1 4 0 0 -4 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497978778060 0.791303392537 4 1 1 10 0132 0132 3120 0132 0 0 0 0 0 -1 1 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 -4 4 0 -1 0 0 1 -3 0 0 3 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.676791794008 0.789101164902 2 10 1 4 2031 3120 0132 2103 0 0 0 0 0 -1 0 1 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 -4 0 4 -1 0 0 1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016546561894 1.991553363873 2 9 8 10 0132 2103 2103 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.556941524469 0.377775694829 7 3 9 10 2103 0132 1302 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 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.013261390221 1.220451469871 8 7 4 3 2031 2103 3012 0132 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 3 -3 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 1.105387077884 0.510822688104 8 6 5 7 3201 3120 0132 1023 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 1 0 -1 0 0 0 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599351994455 0.657253806218 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_1001_1']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_9' : negation(d['c_0110_6']), 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : negation(d['c_0101_1']), 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0110_10']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], '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_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0101_1']), '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' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_10, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 9428990564903660/929698603823*c_1001_1^12 - 212236843845888784/2789095811469*c_1001_1^11 - 155598773281507665/929698603823*c_1001_1^10 - 68008232988254199/929698603823*c_1001_1^9 + 378008342374445971/5578191622938*c_1001_1^8 + 2242171037578550521/5578191622938*c_1001_1^7 - 13846652026342195/52624449273*c_1001_1^6 - 5758339668207644/2789095811469*c_1001_1^5 - 826607094236865595/5578191622938*c_1001_1^4 + 1470455411602800797/5578191622938*c_1001_1^3 - 881232718172127847/5578191622938*c_1001_1^2 + 119515679625302260/2789095811469*c_1001_1 - 12548730574610719/2789095811469, c_0011_0 - 1, c_0011_10 + 1559430/26227*c_1001_1^12 + 12949764/26227*c_1001_1^11 + 71396677/52454*c_1001_1^10 + 36559279/26227*c_1001_1^9 + 10435949/26227*c_1001_1^8 - 121246475/52454*c_1001_1^7 - 17736565/52454*c_1001_1^6 + 9239043/26227*c_1001_1^5 + 55388035/52454*c_1001_1^4 - 19887947/26227*c_1001_1^3 + 3149637/52454*c_1001_1^2 + 1909866/26227*c_1001_1 - 438373/26227, c_0011_3 + 6404122/26227*c_1001_1^12 + 147399968/78681*c_1001_1^11 + 686208283/157362*c_1001_1^10 + 411426511/157362*c_1001_1^9 - 46436193/52454*c_1001_1^8 - 1501932065/157362*c_1001_1^7 + 377287366/78681*c_1001_1^6 + 26936401/78681*c_1001_1^5 + 96899333/26227*c_1001_1^4 - 298262591/52454*c_1001_1^3 + 241568029/78681*c_1001_1^2 - 117860653/157362*c_1001_1 + 10869797/157362, c_0011_6 - 1166972/26227*c_1001_1^12 - 19339765/78681*c_1001_1^11 - 4462183/157362*c_1001_1^10 + 117628562/78681*c_1001_1^9 + 146728517/78681*c_1001_1^8 + 103655215/52454*c_1001_1^7 - 714734297/157362*c_1001_1^6 + 41491315/78681*c_1001_1^5 - 55218757/157362*c_1001_1^4 + 204715433/78681*c_1001_1^3 - 352085927/157362*c_1001_1^2 + 59998342/78681*c_1001_1 - 7629484/78681, c_0101_0 + 12281543/26227*c_1001_1^12 + 561023219/157362*c_1001_1^11 + 427273101/52454*c_1001_1^10 + 704054543/157362*c_1001_1^9 - 167075578/78681*c_1001_1^8 - 2886408701/157362*c_1001_1^7 + 534837727/52454*c_1001_1^6 + 43567705/157362*c_1001_1^5 + 550261909/78681*c_1001_1^4 - 1781374661/157362*c_1001_1^3 + 338305269/52454*c_1001_1^2 - 132674986/78681*c_1001_1 + 9103247/52454, c_0101_1 + 461320/26227*c_1001_1^12 + 7270898/78681*c_1001_1^11 - 2699467/78681*c_1001_1^10 - 59242378/78681*c_1001_1^9 - 53225739/52454*c_1001_1^8 - 82346458/78681*c_1001_1^7 + 141697312/78681*c_1001_1^6 - 9922417/157362*c_1001_1^5 + 10175597/52454*c_1001_1^4 - 28464459/26227*c_1001_1^3 + 135321827/157362*c_1001_1^2 - 21485909/78681*c_1001_1 + 5064971/157362, c_0101_3 + 10722113/26227*c_1001_1^12 + 483324635/157362*c_1001_1^11 + 177938212/26227*c_1001_1^10 + 484698869/157362*c_1001_1^9 - 198383425/78681*c_1001_1^8 - 1261334638/78681*c_1001_1^7 + 276287146/26227*c_1001_1^6 - 11866553/157362*c_1001_1^5 + 934359713/157362*c_1001_1^4 - 1662046979/157362*c_1001_1^3 + 167577816/26227*c_1001_1^2 - 138404584/78681*c_1001_1 + 9927539/52454, c_0101_5 + 4603651/26227*c_1001_1^12 + 206019877/157362*c_1001_1^11 + 74233049/26227*c_1001_1^10 + 168800503/157362*c_1001_1^9 - 222186031/157362*c_1001_1^8 - 1119407863/157362*c_1001_1^7 + 124540936/26227*c_1001_1^6 + 9678665/157362*c_1001_1^5 + 202634120/78681*c_1001_1^4 - 367853045/78681*c_1001_1^3 + 147835709/52454*c_1001_1^2 - 60269822/78681*c_1001_1 + 4247621/52454, c_0110_10 - 10722113/26227*c_1001_1^12 - 483324635/157362*c_1001_1^11 - 177938212/26227*c_1001_1^10 - 484698869/157362*c_1001_1^9 + 198383425/78681*c_1001_1^8 + 1261334638/78681*c_1001_1^7 - 276287146/26227*c_1001_1^6 + 11866553/157362*c_1001_1^5 - 934359713/157362*c_1001_1^4 + 1662046979/157362*c_1001_1^3 - 167577816/26227*c_1001_1^2 + 138404584/78681*c_1001_1 - 9927539/52454, c_0110_6 + 6404122/26227*c_1001_1^12 + 147399968/78681*c_1001_1^11 + 686208283/157362*c_1001_1^10 + 411426511/157362*c_1001_1^9 - 46436193/52454*c_1001_1^8 - 1501932065/157362*c_1001_1^7 + 377287366/78681*c_1001_1^6 + 26936401/78681*c_1001_1^5 + 96899333/26227*c_1001_1^4 - 298262591/52454*c_1001_1^3 + 241568029/78681*c_1001_1^2 - 117860653/157362*c_1001_1 + 10869797/157362, c_1001_1^13 + 43/6*c_1001_1^12 + 14*c_1001_1^11 + 11/6*c_1001_1^10 - 26/3*c_1001_1^9 - 37*c_1001_1^8 + 118/3*c_1001_1^7 - 28/3*c_1001_1^6 + 44/3*c_1001_1^5 - 185/6*c_1001_1^4 + 74/3*c_1001_1^3 - 59/6*c_1001_1^2 + 2*c_1001_1 - 1/6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB