Magma V2.19-8 Wed Aug 21 2013 01:07:29 on localhost [Seed = 2050777960] Type ? for help. Type -D to quit. Loading file "L14n33321__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33321 geometric_solution 11.95398358 oriented_manifold CS_known 0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 -3 2 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.030799587645 1.031862524254 0 5 4 3 0132 0132 0132 0132 0 1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 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 3 -2 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194673064296 0.856348241921 6 0 7 6 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 3 -3 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202649123654 0.453914142435 8 5 1 0 0132 1230 0132 0132 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 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.210165369170 0.921899347073 7 9 0 1 2310 0132 0132 0132 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 -1 1 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 -0.034094424282 1.166063060687 10 1 3 8 0132 0132 3012 3201 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -3 3 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658538835283 0.721718439901 2 10 9 2 0132 0132 3201 1023 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 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969074285662 1.062580664319 11 11 4 2 0132 1302 3201 0132 0 0 0 1 0 0 0 0 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 -1 1 0 0 0 0 2 0 0 -2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085946517489 1.270165670454 3 5 12 12 0132 2310 0132 3120 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 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 0.552039392387 0.794914908565 6 4 12 10 2310 0132 2310 1302 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458405945472 0.822824911100 5 6 9 11 0132 0132 2031 0132 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 0 0 0 0 0 0 0 2 0 0 -2 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.319678653275 0.867504725887 7 12 10 7 0132 0213 0132 2031 0 0 1 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 0 0 0 0 0 0 0 2 1 0 -3 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388865665416 0.454832545320 8 9 11 8 3120 3201 0213 0132 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 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 0.538053063928 0.954785744206 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : negation(d['c_1001_2']), 'c_1100_10' : negation(d['c_1001_2']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_11' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : d['c_0101_0'], '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_6'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0101_9, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 2777140556042668536793/58081187774616092702*c_1100_0^18 + 21435412656562882123655/522730689971544834318*c_1100_0^17 - 77071527582265812132599/174243563323848278106*c_1100_0^16 - 87359097195214483871971/261365344985772417159*c_1100_0^15 + 586178974145325306926407/261365344985772417159*c_1100_0^14 + 72044506620507217189595/47520971815594984938*c_1100_0^13 - 622412142850386474616325/87121781661924139053*c_1100_0^12 - 104018475860304704961271/24891937617692611158*c_1100_0^11 + 8228865636068016430619411/522730689971544834318*c_1100_0^10 + 1356698502318362534943811/174243563323848278106*c_1100_0^9 - 702005303459145048446465/29040593887308046351*c_1100_0^8 - 38195547868530562340279/3930305939635675446*c_1100_0^7 + 2267522986150584596526349/87121781661924139053*c_1100_0^6 + 2190486438605071867304635/261365344985772417159*c_1100_0^5 - 5001515008188027211917554/261365344985772417159*c_1100_0^4 - 2791668811957118229770257/522730689971544834318*c_1100_0^3 + 486779264438449426092991/58081187774616092702*c_1100_0^2 + 1035040522185860846430623/522730689971544834318*c_1100_0 - 241150988059078055736209/174243563323848278106, c_0011_0 - 1, c_0011_11 + 50606/562101*c_1100_0^18 - 221603/562101*c_1100_0^17 - 470525/562101*c_1100_0^16 + 2084893/562101*c_1100_0^15 + 2106092/562101*c_1100_0^14 - 10503712/562101*c_1100_0^13 - 1774745/187367*c_1100_0^12 + 32845787/562101*c_1100_0^11 + 6624070/562101*c_1100_0^10 - 23081964/187367*c_1100_0^9 + 1048753/562101*c_1100_0^8 + 98247662/562101*c_1100_0^7 - 17848762/562101*c_1100_0^6 - 30757429/187367*c_1100_0^5 + 9093072/187367*c_1100_0^4 + 54941812/562101*c_1100_0^3 - 19066198/562101*c_1100_0^2 - 17203307/562101*c_1100_0 + 2255703/187367, c_0011_12 + 16874107/189990138*c_1100_0^18 + 639290/94995069*c_1100_0^17 - 79533878/94995069*c_1100_0^16 + 1196093/31665023*c_1100_0^15 + 268636591/63330046*c_1100_0^14 - 51608534/94995069*c_1100_0^13 - 848549535/63330046*c_1100_0^12 + 280329974/94995069*c_1100_0^11 + 5472344131/189990138*c_1100_0^10 - 279116274/31665023*c_1100_0^9 - 308655494/7307313*c_1100_0^8 + 3153050759/189990138*c_1100_0^7 + 3994567073/94995069*c_1100_0^6 - 3714873649/189990138*c_1100_0^5 - 5204096509/189990138*c_1100_0^4 + 97829951/7307313*c_1100_0^3 + 1036096736/94995069*c_1100_0^2 - 501805210/94995069*c_1100_0 - 58482595/31665023, c_0011_3 + 31158274/284985207*c_1100_0^18 + 8492711/63330046*c_1100_0^17 - 253005484/284985207*c_1100_0^16 - 601700041/569970414*c_1100_0^15 + 2360260945/569970414*c_1100_0^14 + 306100591/63330046*c_1100_0^13 - 1120365851/94995069*c_1100_0^12 - 3844520666/284985207*c_1100_0^11 + 1475433067/63330046*c_1100_0^10 + 832805730/31665023*c_1100_0^9 - 1351275215/43843878*c_1100_0^8 - 2198459489/63330046*c_1100_0^7 + 8092274887/284985207*c_1100_0^6 + 9279132751/284985207*c_1100_0^5 - 4753012820/284985207*c_1100_0^4 - 150274328/7307313*c_1100_0^3 + 2350541153/569970414*c_1100_0^2 + 199997159/31665023*c_1100_0 + 32031943/63330046, c_0011_4 - 49997485/569970414*c_1100_0^18 + 13480307/94995069*c_1100_0^17 + 453311461/569970414*c_1100_0^16 - 786203815/569970414*c_1100_0^15 - 1074043339/284985207*c_1100_0^14 + 667471642/94995069*c_1100_0^13 + 1011466345/94995069*c_1100_0^12 - 12649027363/569970414*c_1100_0^11 - 3572916725/189990138*c_1100_0^10 + 2969378301/63330046*c_1100_0^9 + 409035287/21921939*c_1100_0^8 - 6295951715/94995069*c_1100_0^7 - 3222329497/569970414*c_1100_0^6 + 17478140893/284985207*c_1100_0^5 - 2145294512/284985207*c_1100_0^4 - 86122221/2435771*c_1100_0^3 + 2554835185/284985207*c_1100_0^2 + 1021232141/94995069*c_1100_0 - 296741177/63330046, c_0101_0 - 1, c_0101_1 + 1614649/3372606*c_1100_0^18 - 220555/1124202*c_1100_0^17 - 14794429/3372606*c_1100_0^16 + 3813749/1686303*c_1100_0^15 + 36293905/1686303*c_1100_0^14 - 14265881/1124202*c_1100_0^13 - 36605404/562101*c_1100_0^12 + 149179969/3372606*c_1100_0^11 + 148120511/1124202*c_1100_0^10 - 38156851/374734*c_1100_0^9 - 297817385/1686303*c_1100_0^8 + 176427595/1124202*c_1100_0^7 + 257406917/1686303*c_1100_0^6 - 264286360/1686303*c_1100_0^5 - 133870459/1686303*c_1100_0^4 + 35198001/374734*c_1100_0^3 + 60121765/3372606*c_1100_0^2 - 32756983/1124202*c_1100_0 + 1894143/374734, c_0101_11 + 14117851/569970414*c_1100_0^18 + 4524457/63330046*c_1100_0^17 - 158005621/569970414*c_1100_0^16 - 170408029/284985207*c_1100_0^15 + 477746653/284985207*c_1100_0^14 + 172547619/63330046*c_1100_0^13 - 607742965/94995069*c_1100_0^12 - 4270263005/569970414*c_1100_0^11 + 1062610065/63330046*c_1100_0^10 + 855489897/63330046*c_1100_0^9 - 667787645/21921939*c_1100_0^8 - 974732921/63330046*c_1100_0^7 + 10783606256/284985207*c_1100_0^6 + 3042588581/284985207*c_1100_0^5 - 8772621376/284985207*c_1100_0^4 - 67407593/14614626*c_1100_0^3 + 8540443825/569970414*c_1100_0^2 + 68253461/63330046*c_1100_0 - 218981587/63330046, c_0101_6 + 2116947/63330046*c_1100_0^18 - 11555789/94995069*c_1100_0^17 - 7154375/31665023*c_1100_0^16 + 108140519/94995069*c_1100_0^15 + 68579371/94995069*c_1100_0^14 - 537938170/94995069*c_1100_0^13 - 36393801/63330046*c_1100_0^12 + 550327939/31665023*c_1100_0^11 - 326058866/94995069*c_1100_0^10 - 1128991937/31665023*c_1100_0^9 + 70625379/4871542*c_1100_0^8 + 9248246905/189990138*c_1100_0^7 - 1734638735/63330046*c_1100_0^6 - 8276241499/189990138*c_1100_0^5 + 5525181245/189990138*c_1100_0^4 + 362425007/14614626*c_1100_0^3 - 553737258/31665023*c_1100_0^2 - 1519162951/189990138*c_1100_0 + 330232379/63330046, c_0101_9 + 7200793/189990138*c_1100_0^18 - 1809671/189990138*c_1100_0^17 - 34685639/94995069*c_1100_0^16 + 8763801/63330046*c_1100_0^15 + 117778073/63330046*c_1100_0^14 - 164599075/189990138*c_1100_0^13 - 376333487/63330046*c_1100_0^12 + 313522505/94995069*c_1100_0^11 + 2435612773/189990138*c_1100_0^10 - 258883847/31665023*c_1100_0^9 - 137995124/7307313*c_1100_0^8 + 1294359946/94995069*c_1100_0^7 + 3552417379/189990138*c_1100_0^6 - 2808083893/189990138*c_1100_0^5 - 2249508487/189990138*c_1100_0^4 + 147352159/14614626*c_1100_0^3 + 830446165/189990138*c_1100_0^2 - 628560071/189990138*c_1100_0 + 10601061/31665023, c_1001_1 + 31040273/189990138*c_1100_0^18 + 7083083/94995069*c_1100_0^17 - 148757572/94995069*c_1100_0^16 - 107407115/189990138*c_1100_0^15 + 765275398/94995069*c_1100_0^14 + 222639283/94995069*c_1100_0^13 - 1648544229/63330046*c_1100_0^12 - 1065252343/189990138*c_1100_0^11 + 5472699137/94995069*c_1100_0^10 + 520659915/63330046*c_1100_0^9 - 1293487613/14614626*c_1100_0^8 - 623754893/94995069*c_1100_0^7 + 17886355469/189990138*c_1100_0^6 + 112272413/63330046*c_1100_0^5 - 2159729786/31665023*c_1100_0^4 - 9105773/14614626*c_1100_0^3 + 5656839389/189990138*c_1100_0^2 - 23533012/94995069*c_1100_0 - 332997601/63330046, c_1001_2 + 16874107/189990138*c_1100_0^18 + 639290/94995069*c_1100_0^17 - 79533878/94995069*c_1100_0^16 + 1196093/31665023*c_1100_0^15 + 268636591/63330046*c_1100_0^14 - 51608534/94995069*c_1100_0^13 - 848549535/63330046*c_1100_0^12 + 280329974/94995069*c_1100_0^11 + 5472344131/189990138*c_1100_0^10 - 279116274/31665023*c_1100_0^9 - 308655494/7307313*c_1100_0^8 + 3153050759/189990138*c_1100_0^7 + 3994567073/94995069*c_1100_0^6 - 3714873649/189990138*c_1100_0^5 - 5204096509/189990138*c_1100_0^4 + 97829951/7307313*c_1100_0^3 + 941101667/94995069*c_1100_0^2 - 501805210/94995069*c_1100_0 - 26817572/31665023, c_1100_0^19 - 10*c_1100_0^17 + c_1100_0^16 + 53*c_1100_0^15 - 9*c_1100_0^14 - 177*c_1100_0^13 + 43*c_1100_0^12 + 405*c_1100_0^11 - 126*c_1100_0^10 - 646*c_1100_0^9 + 243*c_1100_0^8 + 718*c_1100_0^7 - 308*c_1100_0^6 - 548*c_1100_0^5 + 246*c_1100_0^4 + 268*c_1100_0^3 - 117*c_1100_0^2 - 63*c_1100_0 + 27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.670 seconds, Total memory usage: 32.09MB