Magma V2.19-8 Tue Aug 20 2013 23:39:54 on localhost [Seed = 1225731581] Type ? for help. Type -D to quit. Loading file "K14n21024__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21024 geometric_solution 9.95970735 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937139807964 0.598927714653 0 5 7 6 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 -15 -1 0 16 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678927553984 0.367847974528 5 0 5 8 2031 0132 1302 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 -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 0.668878730911 0.435931662692 6 9 6 0 0132 0132 2031 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 0 -1 0 0 0 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336938073348 0.541894785867 7 8 0 10 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017467724463 1.408963097959 2 1 2 8 2031 0132 1302 1023 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 1 0 -1 0 1 -16 0 15 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668878730911 0.435931662692 3 10 1 3 0132 1302 0132 1302 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 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.017467724463 1.408963097959 9 4 9 1 0213 1023 2031 0132 0 0 0 0 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 -1 1 1 0 -1 0 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380653466761 0.664506516857 10 4 2 5 0132 0132 0132 1023 0 0 0 0 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 15 0 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415935690838 0.751353508531 7 3 10 7 0213 0132 0213 1302 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 0 1 16 0 -16 0 -1 0 0 1 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350936824165 1.133069176708 8 9 4 6 0132 0213 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 16 0 -16 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017467724463 1.408963097959 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_3']), '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_10'], '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' : negation(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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_3']), 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : negation(d['c_1010_6']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0110_5'], '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_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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_8'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), '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_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : d['c_0101_10'], '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_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_0110_5, c_1001_0, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 11658620392463935058541/2183144961264188496128*c_1010_6^16 - 51293334550368576308949/2183144961264188496128*c_1010_6^15 - 6761451579613332631559/136446560079011781008*c_1010_6^14 - 35574938386960288095381/2183144961264188496128*c_1010_6^13 + 21371472110533774450233/272893120158023562016*c_1010_6^12 + 99834150917038852933469/2183144961264188496128*c_1010_6^11 - 135624607370204173651365/545786240316047124032*c_1010_6^10 - 586654205924953265425433/2183144961264188496128*c_1010_6^9 + 19731759773066196277849/68223280039505890504*c_1010_6^8 + 120413821383551950417053/545786240316047124032*c_1010_6^7 - 2006361817296766150091027/2183144961264188496128*c_1010_6^6 - 1219282388661271103303/2383346027580991808*c_1010_6^5 + 162367173158765215728219/272893120158023562016*c_1010_6^4 - 1707757744031981898422291/2183144961264188496128*c_1010_6^3 - 102386683727900858552959/545786240316047124032*c_1010_6^2 - 60719671175709542246955/545786240316047124032*c_1010_6 - 71117671527701148358123/272893120158023562016, c_0011_0 - 1, c_0011_10 - 12432581442941933/108635796241251418*c_1010_6^16 - 113890656729423493/217271592482502836*c_1010_6^15 - 257192656412941185/217271592482502836*c_1010_6^14 - 37388656903511175/54317898120625709*c_1010_6^13 + 279881074472678649/217271592482502836*c_1010_6^12 + 62046666253448176/54317898120625709*c_1010_6^11 - 985139549127906869/217271592482502836*c_1010_6^10 - 323966753052118282/54317898120625709*c_1010_6^9 + 870327657769906977/217271592482502836*c_1010_6^8 + 382519383003446717/108635796241251418*c_1010_6^7 - 1953161125867134359/108635796241251418*c_1010_6^6 - 11210741008664881/948784246648484*c_1010_6^5 + 792311530031186353/108635796241251418*c_1010_6^4 - 2034594983226334703/108635796241251418*c_1010_6^3 - 908400453381851349/217271592482502836*c_1010_6^2 - 460134687840189843/108635796241251418*c_1010_6 - 364408188207515717/54317898120625709, c_0011_3 + 28797038757665931/434543184965005672*c_1010_6^16 + 130125858864053961/434543184965005672*c_1010_6^15 + 141668188810147713/217271592482502836*c_1010_6^14 + 124163656983380095/434543184965005672*c_1010_6^13 - 201321624292641781/217271592482502836*c_1010_6^12 - 293791383267232695/434543184965005672*c_1010_6^11 + 646884939199255799/217271592482502836*c_1010_6^10 + 1594282313745880483/434543184965005672*c_1010_6^9 - 686619723309194017/217271592482502836*c_1010_6^8 - 170699117609563411/54317898120625709*c_1010_6^7 + 4732643449077893389/434543184965005672*c_1010_6^6 + 7424595070173623/948784246648484*c_1010_6^5 - 653046655778466117/108635796241251418*c_1010_6^4 + 3865017191998325445/434543184965005672*c_1010_6^3 + 597647209318444223/217271592482502836*c_1010_6^2 + 110497291479574555/54317898120625709*c_1010_6 + 187520573949570791/54317898120625709, c_0101_0 - 43170463994982477/434543184965005672*c_1010_6^16 - 193744215320322253/434543184965005672*c_1010_6^15 - 104601688209582805/108635796241251418*c_1010_6^14 - 169824284540394561/434543184965005672*c_1010_6^13 + 78200206651346992/54317898120625709*c_1010_6^12 + 464714804699949105/434543184965005672*c_1010_6^11 - 475786090602679973/108635796241251418*c_1010_6^10 - 2350567403907861813/434543184965005672*c_1010_6^9 + 247975090631642901/54317898120625709*c_1010_6^8 + 241333982868489457/54317898120625709*c_1010_6^7 - 6927085347244284531/434543184965005672*c_1010_6^6 - 4922541336934023/474392123324242*c_1010_6^5 + 1024531588820739437/108635796241251418*c_1010_6^4 - 5977538198488704467/434543184965005672*c_1010_6^3 - 300797279195115619/108635796241251418*c_1010_6^2 - 127287974299700025/54317898120625709*c_1010_6 - 269712981014230322/54317898120625709, c_0101_1 - 28797038757665931/434543184965005672*c_1010_6^16 - 130125858864053961/434543184965005672*c_1010_6^15 - 141668188810147713/217271592482502836*c_1010_6^14 - 124163656983380095/434543184965005672*c_1010_6^13 + 201321624292641781/217271592482502836*c_1010_6^12 + 293791383267232695/434543184965005672*c_1010_6^11 - 646884939199255799/217271592482502836*c_1010_6^10 - 1594282313745880483/434543184965005672*c_1010_6^9 + 686619723309194017/217271592482502836*c_1010_6^8 + 170699117609563411/54317898120625709*c_1010_6^7 - 4732643449077893389/434543184965005672*c_1010_6^6 - 7424595070173623/948784246648484*c_1010_6^5 + 653046655778466117/108635796241251418*c_1010_6^4 - 3865017191998325445/434543184965005672*c_1010_6^3 - 597647209318444223/217271592482502836*c_1010_6^2 - 110497291479574555/54317898120625709*c_1010_6 - 187520573949570791/54317898120625709, c_0101_10 - 38117157293867249/434543184965005672*c_1010_6^16 - 169014411000302977/434543184965005672*c_1010_6^15 - 91454687853244321/108635796241251418*c_1010_6^14 - 161621633242685853/434543184965005672*c_1010_6^13 + 59013252927608538/54317898120625709*c_1010_6^12 + 273518221252170813/434543184965005672*c_1010_6^11 - 422068331852637615/108635796241251418*c_1010_6^10 - 1824610213337777609/434543184965005672*c_1010_6^9 + 227782588010020002/54317898120625709*c_1010_6^8 + 139434030154175717/54317898120625709*c_1010_6^7 - 6577763283713846847/434543184965005672*c_1010_6^6 - 3881200710713061/474392123324242*c_1010_6^5 + 857816070470384405/108635796241251418*c_1010_6^4 - 6423015870226604247/434543184965005672*c_1010_6^3 - 361077081297122467/108635796241251418*c_1010_6^2 - 195308522128477028/54317898120625709*c_1010_6 - 275301066671547950/54317898120625709, c_0101_3 - 2641546349968031/108635796241251418*c_1010_6^16 - 24469826511180269/217271592482502836*c_1010_6^15 - 56673397395969997/217271592482502836*c_1010_6^14 - 9566030531605448/54317898120625709*c_1010_6^13 + 49506167560290621/217271592482502836*c_1010_6^12 + 12370781670133686/54317898120625709*c_1010_6^11 - 200207438241894069/217271592482502836*c_1010_6^10 - 69735137643983037/54317898120625709*c_1010_6^9 + 154500997299215561/217271592482502836*c_1010_6^8 + 73275404947258769/108635796241251418*c_1010_6^7 - 405853520866154147/108635796241251418*c_1010_6^6 - 2726945253897881/948784246648484*c_1010_6^5 + 102328483333924495/108635796241251418*c_1010_6^4 - 414797062032231895/108635796241251418*c_1010_6^3 - 155517649141565609/217271592482502836*c_1010_6^2 - 178437989699405143/108635796241251418*c_1010_6 - 77362646210300829/54317898120625709, c_0101_8 - 71511672457428823/434543184965005672*c_1010_6^16 - 314648586884621157/434543184965005672*c_1010_6^15 - 336221990748129489/217271592482502836*c_1010_6^14 - 257531682606836731/434543184965005672*c_1010_6^13 + 483206477443033437/217271592482502836*c_1010_6^12 + 590300185677103811/434543184965005672*c_1010_6^11 - 1587409121054591091/217271592482502836*c_1010_6^10 - 3489617766019284535/434543184965005672*c_1010_6^9 + 1719976337935910189/217271592482502836*c_1010_6^8 + 300186965985772688/54317898120625709*c_1010_6^7 - 11839996612294262153/434543184965005672*c_1010_6^6 - 13624890400001775/948784246648484*c_1010_6^5 + 1653588977477584581/108635796241251418*c_1010_6^4 - 11671122779488382841/434543184965005672*c_1010_6^3 - 770981702901838847/217271592482502836*c_1010_6^2 - 277733710169494474/54317898120625709*c_1010_6 - 481503500675124741/54317898120625709, c_0110_5 - 71511672457428823/434543184965005672*c_1010_6^16 - 314648586884621157/434543184965005672*c_1010_6^15 - 336221990748129489/217271592482502836*c_1010_6^14 - 257531682606836731/434543184965005672*c_1010_6^13 + 483206477443033437/217271592482502836*c_1010_6^12 + 590300185677103811/434543184965005672*c_1010_6^11 - 1587409121054591091/217271592482502836*c_1010_6^10 - 3489617766019284535/434543184965005672*c_1010_6^9 + 1719976337935910189/217271592482502836*c_1010_6^8 + 300186965985772688/54317898120625709*c_1010_6^7 - 11839996612294262153/434543184965005672*c_1010_6^6 - 13624890400001775/948784246648484*c_1010_6^5 + 1653588977477584581/108635796241251418*c_1010_6^4 - 11671122779488382841/434543184965005672*c_1010_6^3 - 770981702901838847/217271592482502836*c_1010_6^2 - 277733710169494474/54317898120625709*c_1010_6 - 481503500675124741/54317898120625709, c_1001_0 - 38117157293867249/434543184965005672*c_1010_6^16 - 169014411000302977/434543184965005672*c_1010_6^15 - 91454687853244321/108635796241251418*c_1010_6^14 - 161621633242685853/434543184965005672*c_1010_6^13 + 59013252927608538/54317898120625709*c_1010_6^12 + 273518221252170813/434543184965005672*c_1010_6^11 - 422068331852637615/108635796241251418*c_1010_6^10 - 1824610213337777609/434543184965005672*c_1010_6^9 + 227782588010020002/54317898120625709*c_1010_6^8 + 139434030154175717/54317898120625709*c_1010_6^7 - 6577763283713846847/434543184965005672*c_1010_6^6 - 3881200710713061/474392123324242*c_1010_6^5 + 857816070470384405/108635796241251418*c_1010_6^4 - 6423015870226604247/434543184965005672*c_1010_6^3 - 361077081297122467/108635796241251418*c_1010_6^2 - 195308522128477028/54317898120625709*c_1010_6 - 275301066671547950/54317898120625709, c_1010_6^17 + 5*c_1010_6^16 + 12*c_1010_6^15 + 9*c_1010_6^14 - 12*c_1010_6^13 - 17*c_1010_6^12 + 40*c_1010_6^11 + 77*c_1010_6^10 - 20*c_1010_6^9 - 68*c_1010_6^8 + 143*c_1010_6^7 + 192*c_1010_6^6 - 40*c_1010_6^5 + 95*c_1010_6^4 + 112*c_1010_6^3 + 44*c_1010_6^2 + 72*c_1010_6 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB