# Matrix of U_13 (13 divides the level, so U_p, NOT T_p) on the S_4(Gamma_0(143)) basis, 40 x 40.
# SCALED BY 1041 to clear denominators; divide by it to recover the operator.
# SCALE 1041
#
row,F1,F2,F3,F4,F5,F6,F7,F8,F9,F10,F11,F12,F13,F14,F15,F16,F17,F18,F19,F20,F21,F22,F23,F24,F25,F26,F27,F28,F29,F30,F31,F32,F33,F34,F35,F36,F37,F38,F39,F40
F1,62460,1041,-41640,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F2,-2287077,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F3,-20820,0,20820,1041,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F4,0,0,-2287077,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F5,0,0,0,0,-9369,0,-20820,0,-29148,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F6,0,0,0,0,0,-9369,0,-20820,0,-29148,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F7,0,0,0,0,-3123,0,2082,0,21861,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F8,0,0,0,0,0,-3123,0,2082,0,21861,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F9,0,0,0,0,-1041,0,5205,0,-6246,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F10,0,0,0,0,0,-1041,0,5205,0,-6246,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
F11,0,0,0,0,0,0,0,0,0,0,0,0,-787256,-132207,-1302058,-370759,-3113165,-1190508,1836195,-1911796,-852540,2776374,175929,6647345,710014,2959152,2003536,10822149,5710813,-3240715,11437693,4726160,-15067336,938461,-14057059,0,10834868,-4043941,3234817,-6007498
F12,0,0,0,0,0,0,0,0,0,0,0,0,-168152,1041,-269938,-46738,-583598,-221118,317628,-367534,-165072,499509,0,1304759,45706,692439,216100,2017662,1033966,-500086,2064838,918845,-2712310,217630,-2520160,175929,1846310,-146068,465958,-1031884
F13,0,0,0,0,0,0,0,0,0,0,0,0,-8154,1041,-29376,5226,-64998,-32520,61161,-15267,-10332,41694,0,115977,29946,65802,-41724,253830,173274,-203853,224961,79503,-302388,2775,-441909,0,55800,-97860,-4692,-102486
F14,0,0,0,0,0,0,0,0,0,0,0,0,94278,0,162846,22614,365250,142314,-215964,211458,100056,-317502,0,-766962,-23436,-423270,-77964,-1299756,-659274,358866,-1290198,-531756,1660830,-75087,1662390,0,-1171842,204267,-285726,686340
F15,0,0,0,0,0,0,0,0,0,0,0,0,-11806,2082,-20642,-3806,-32956,-12672,12456,-19448,-8535,24120,0,60502,-21790,54792,36044,131868,34499,43570,86111,59044,-139160,34022,-138728,0,26056,98644,42107,-85508
F16,0,0,0,0,0,0,0,0,0,0,0,0,73735,2082,127448,22103,279880,105345,-159024,166208,77685,-238659,0,-608686,-15788,-302985,-109232,-1001613,-526310,272174,-970043,-412783,1310333,-82928,1194917,0,-825178,127379,-262121,465932
F17,0,0,0,0,0,0,0,0,0,0,0,0,-33101,1041,-52147,-5365,-123032,-43659,74340,-82858,-33708,105027,0,266522,2248,125730,6886,431457,229420,-88987,435379,193850,-615799,28726,-512683,0,447116,-58399,116203,-166960
F18,0,0,0,0,0,0,0,0,0,0,0,0,-3756,3123,-11160,2562,-18156,-9558,12246,-9594,-2976,20121,0,39480,-8826,29841,-39396,89118,27948,-38052,31548,26394,-48264,7512,-70296,0,3624,22170,14700,-42522
F19,0,0,0,0,0,0,0,0,0,0,0,0,-29826,-2082,-53100,-11820,-119733,-45444,64614,-66939,-30816,99582,0,248898,6798,146502,58731,445185,208602,-127392,412473,177903,-578076,28422,-514398,0,386496,-95964,123639,-214848
F20,0,0,0,0,0,0,0,0,0,0,0,0,-23561,-1041,-40597,-7552,-95768,-36168,52728,-53368,-24729,82896,0,202973,2422,95487,34372,323022,156292,-73246,341164,142988,-450913,24220,-373687,0,306569,-59410,59506,-177112
F21,0,0,0,0,0,0,0,0,0,0,0,0,99076,-2082,172856,21482,395680,147210,-207906,235628,105270,-321900,0,-787546,8500,-405828,-40124,-1372566,-635624,359114,-1295858,-567439,1869800,-110708,1647662,0,-1189480,117890,-257066,652280
F22,0,0,0,0,0,0,0,0,0,0,0,0,8270,2082,14650,4504,37628,16392,-24204,23827,10731,-31248,0,-79952,-20392,-29568,-28426,-139089,-59146,37762,-141958,-53567,200038,-1966,165694,0,-138662,58645,-47710,85171
F23,0,0,0,0,0,0,0,0,0,0,1041,0,-24691,8328,-44429,6754,-105514,-33486,48684,-59792,-26121,85776,0,189952,-17131,109596,-49918,374814,150716,-62792,319004,144196,-481637,22316,-348596,0,323353,122098,43838,-113240
F24,0,0,0,0,0,0,0,0,0,0,0,0,5450,-2082,9730,-2549,21542,8115,-9828,14023,5949,-19344,0,-44570,13484,-34266,14360,-76932,-29542,11248,-55426,-27245,93958,-15064,74482,0,-56426,-39722,-7492,20173
F25,0,0,0,0,0,0,0,0,0,0,0,0,34732,0,59666,8978,134947,50688,-76890,77792,37263,-119382,0,-277402,-8612,-152544,-30707,-477504,-233768,121364,-464159,-199741,637838,-48644,565322,0,-422770,50972,-113255,227522
F26,0,0,0,0,0,0,0,0,0,0,0,0,5666,0,9088,3400,20258,6729,-8856,12373,6333,-16836,0,-47918,-4048,-27102,-7354,-67779,-37648,15352,-72526,-30785,95350,-8209,80866,0,-58304,13900,-16978,38689
F27,0,0,0,0,0,0,0,0,0,0,0,0,17089,0,29837,2918,65920,23796,-37089,40424,18621,-57336,0,-141868,-2585,-68514,-13754,-236046,-118682,59930,-235250,-98608,312353,-21686,281684,0,-213478,23258,-54728,116600
F28,0,0,0,0,0,0,0,0,0,0,0,0,-12955,1041,-22403,-2096,-48970,-17184,27585,-30074,-12891,39522,0,102775,-1573,60579,56,173616,86438,-35516,160244,72265,-228341,17582,-199175,0,143587,8332,38522,-86438
F29,0,0,0,0,0,0,0,0,0,0,0,0,-8138,1041,-15505,-2083,-31010,-12381,15429,-18358,-7836,27807,0,65414,-2120,41580,4,116055,53614,-19639,97849,44348,-142048,18358,-124201,0,83498,10559,9295,-47368
F30,0,0,0,0,0,0,0,0,0,0,0,0,-10984,0,-18632,-1553,-42469,-17079,23442,-25091,-11469,35862,0,90442,1364,48396,4130,154989,79355,-40748,150467,64426,-204188,17804,-183602,0,134518,-5951,27695,-79355
F31,0,0,0,0,0,0,0,0,0,0,0,0,-6578,1041,-11698,977,-27560,-10593,15162,-15238,-7029,23481,0,55808,-3473,27390,-10154,93675,45964,-21229,92329,39023,-127021,11074,-105970,0,88904,20987,29617,-37636
F32,0,0,0,0,0,0,0,0,0,0,0,0,34432,0,61136,8870,134764,52266,-69912,81356,36267,-108060,0,-268588,-4388,-150696,-22988,-470958,-235580,111500,-455330,-195634,613928,-56372,524300,0,-422128,19178,-111878,223088
F33,0,0,0,0,0,0,0,0,0,0,0,0,4492,-1041,7970,590,18022,7380,-9975,11066,5364,-14544,0,-36661,1600,-18732,-1319,-65217,-30623,12131,-61592,-27892,84854,-7943,68183,0,-61996,1616,-11513,23336
F34,0,0,0,0,0,0,0,0,0,0,0,0,-5256,-1041,-9015,-3183,-22194,-8955,12783,-14676,-5874,20517,0,46074,7089,20343,21060,75003,43872,-22830,86103,33396,-109518,8430,-100518,0,76581,-46233,31995,-54282
F35,0,0,0,0,0,0,0,0,0,0,0,0,-2516,1041,-4744,-184,-9488,-2478,4293,-3991,-2121,7260,0,17831,-2828,11862,-2387,34440,11911,-4429,26146,12125,-43126,3991,-31141,0,29702,8678,5122,-10870
F36,0,0,0,0,0,0,0,0,0,0,0,1041,-29912,2082,-54136,-4675,-118682,-44256,65268,-69193,-31740,98622,0,243638,-680,140064,10372,422022,205834,-105430,398230,173105,-549328,47332,-487252,0,354992,-8182,82942,-198547
F37,0,0,0,0,0,0,0,0,0,0,0,0,2368,-1041,4220,-133,10522,3312,-4959,5777,2976,-8670,0,-20395,3274,-10062,4696,-37068,-15803,7169,-32936,-15637,47570,-5777,41495,0,-33466,-13495,-7760,14762
F38,0,0,0,0,0,0,0,0,0,0,0,0,4934,0,8719,763,19520,6915,-11109,11950,5610,-17817,0,-40736,-1195,-19803,-3052,-69129,-33658,18100,-69055,-30008,97804,-9868,81208,0,-69521,7069,-15367,37822
F39,0,0,0,0,0,0,0,0,0,0,0,0,-2694,0,-4080,-720,-10242,-3360,6615,-7470,-2823,8856,0,21978,747,8850,2880,36006,16374,-11628,42204,15582,-49401,5388,-43419,0,36204,-5148,9180,-18456
F40,0,0,0,0,0,0,0,0,0,0,0,0,3660,0,6009,693,14100,4275,-6432,7320,3615,-10710,0,-27582,-732,-15675,-2772,-50505,-19950,7080,-42339,-19500,60600,-7320,50340,0,-39687,5007,-8055,19950
