Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,4,Mod(53,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 11]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.53");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 171.y (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 53.9 | ||
Character | 171.53 | ||
Dual form | 171.4.y.a.71.9 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−1.02676 | − | 0.373709i | −0.363013 | − | 0.132126i | 0.154073 | − | 0.988060i | ||
−0.517086 | + | 0.855933i | ||||||||
0 | 0 | |||||||||
−5.21378 | − | 4.37488i | −0.651723 | − | 0.546861i | |||||
−4.49187 | − | 5.35320i | −0.401765 | − | 0.478805i | 0.526792 | − | 0.849994i | ||
−0.928557 | + | 0.371189i | ||||||||
0 | 0 | |||||||||
9.55306 | − | 16.5464i | 0.515817 | − | 0.893421i | −0.484015 | − | 0.875060i | ||
0.999831 | − | 0.0183611i | ||||||||
8.08896 | + | 14.0105i | 0.357485 | + | 0.619182i | |||||
0 | 0 | |||||||||
2.61152 | + | 7.17509i | 0.0825834 | + | 0.226896i | |||||
21.7010 | − | 12.5291i | 0.594828 | − | 0.343424i | −0.172176 | − | 0.985066i | ||
0.767004 | + | 0.641642i | ||||||||
0 | 0 | |||||||||
−55.1705 | − | 9.72805i | −1.17704 | − | 0.207544i | −0.449291 | − | 0.893385i | ||
−0.727751 | + | 0.685841i | ||||||||
−15.9922 | + | 13.4191i | −0.305293 | + | 0.256171i | |||||
0 | 0 | |||||||||
6.38540 | + | 36.2134i | 0.0997719 | + | 0.565834i | |||||
−47.2141 | + | 129.720i | −0.673594 | + | 1.85068i | −0.173198 | + | 0.984887i | ||
−0.500395 | + | 0.865797i | ||||||||
0 | 0 | |||||||||
−51.0021 | − | 65.2517i | −0.615826 | − | 0.787883i | |||||
47.5618i | 0.531758i | |||||||||
0 | 0 | |||||||||
−26.9639 | + | 4.75447i | −0.261306 | + | 0.0460752i | |||||
−74.2193 | + | 88.4512i | −0.672861 | + | 0.801884i | −0.989170 | − | 0.146772i | ||
0.316310 | + | 0.948656i | ||||||||
0 | 0 | |||||||||
13.2262 | − | 75.0092i | 0.105809 | − | 0.600074i | |||||
53.0113 | + | 30.6061i | 0.399860 | + | 0.230859i | |||||
0 | 0 | |||||||||
−122.196 | + | 44.4758i | −0.824747 | + | 0.300183i | |||||
−8.46316 | + | 3.08034i | −0.0541921 | + | 0.0197243i | −0.368974 | − | 0.929440i | ||
0.314782 | + | 0.949164i | ||||||||
0 | 0 | |||||||||
−150.551 | − | 86.9205i | −0.872249 | − | 0.503593i | −0.00415372 | − | 0.999991i | ||
−0.868095 | + | 0.496398i | ||||||||
29.4512 | − | 167.026i | 0.162696 | − | 0.922696i | |||||
0 | 0 | |||||||||
96.9548 | − | 115.546i | 0.489047 | − | 0.582824i | |||||
−131.487 | + | 23.1847i | −0.635011 | + | 0.111970i | |||||
0 | 0 | |||||||||
419.365i | 1.86333i | 0.363321 | + | 0.931664i | ||||||
−0.363321 | + | 0.931664i | ||||||||
27.9816 | + | 86.0576i | 0.119453 | + | 0.367378i | |||||
0 | 0 | |||||||||
38.6664 | − | 106.235i | 0.152842 | − | 0.419931i | |||||
61.5401 | + | 349.011i | 0.234413 | + | 1.32942i | 0.843846 | + | 0.536586i | ||
−0.609433 | + | 0.792838i | ||||||||
0 | 0 | |||||||||
15.2144 | − | 12.7664i | 0.0539574 | − | 0.0452756i | −0.615410 | − | 0.788207i | ||
0.669368 | + | 0.742931i | ||||||||
−167.958 | − | 29.6155i | −0.575468 | − | 0.101471i | |||||
0 | 0 | |||||||||
109.260 | − | 63.0814i | 0.350207 | − | 0.202192i | |||||
−132.663 | − | 364.487i | −0.411719 | − | 1.13119i | −0.956276 | − | 0.292466i | ||
0.544557 | − | 0.838724i | ||||||||
0 | 0 | |||||||||
−11.0220 | − | 19.0907i | −0.0321342 | − | 0.0556580i | |||||
−41.6117 | + | 72.0735i | −0.117696 | + | 0.203855i | |||||
0 | 0 | |||||||||
245.088 | + | 292.085i | 0.653608 | + | 0.778939i | |||||
−202.318 | − | 169.765i | −0.524349 | − | 0.439981i | 0.341796 | − | 0.939774i | ||
−0.866145 | + | 0.499793i | ||||||||
0 | 0 | |||||||||
−164.549 | − | 59.8909i | −0.403414 | − | 0.146831i | |||||
309.097 | 0.737587 | |||||||||
0 | 0 | |||||||||
9.84076 | 0.0222785 | |||||||||
−75.3603 | − | 27.4289i | −0.166289 | − | 0.0605244i | 0.257534 | − | 0.966269i | ||
−0.423823 | + | 0.905745i | ||||||||
0 | 0 | |||||||||
−287.655 | − | 241.371i | −0.603778 | − | 0.506630i | 0.288880 | − | 0.957365i | ||
−0.892657 | + | 0.450736i | ||||||||
122.096 | + | 145.508i | 0.250100 | + | 0.298058i | |||||
0 | 0 | |||||||||
54.4300 | − | 94.2756i | 0.106309 | − | 0.184132i | |||||
195.743 | + | 339.036i | 0.373521 | + | 0.646958i | |||||
0 | 0 | |||||||||
162.434 | + | 446.284i | 0.296186 | + | 0.813765i | 0.995128 | + | 0.0985871i | ||
−0.698942 | + | 0.715178i | ||||||||
813.672 | − | 469.774i | 1.45106 | − | 0.837771i | |||||
0 | 0 | |||||||||
143.670 | + | 25.3329i | 0.245312 | + | 0.0432551i | |||||
371.275 | − | 311.537i | 0.620595 | − | 0.520741i | −0.277396 | − | 0.960756i | ||
0.897991 | + | 0.440015i | ||||||||
0 | 0 | |||||||||
−97.0717 | − | 550.521i | −0.155635 | − | 0.882652i | −0.958203 | − | 0.286091i | ||
0.802567 | − | 0.596562i | ||||||||
156.720 | − | 430.586i | 0.246194 | − | 0.676413i | |||||
0 | 0 | |||||||||
−19.5547 | + | 563.337i | −0.0295141 | + | 0.850252i | |||||
− | 478.765i | − | 0.708576i | |||||||
0 | 0 | |||||||||
999.614 | − | 176.259i | 1.42361 | − | 0.251021i | 0.591803 | − | 0.806083i | ||
0.831809 | + | 0.555061i | ||||||||
165.175 | − | 196.848i | 0.230839 | − | 0.275104i | |||||
0 | 0 | |||||||||
67.2419 | − | 381.348i | 0.0905564 | − | 0.513571i | |||||
−1116.92 | − | 644.856i | −1.47709 | − | 0.852797i | −0.477423 | − | 0.878673i | ||
−0.999665 | + | 0.0258760i | ||||||||
0 | 0 | |||||||||
906.494 | − | 329.937i | 1.15674 | − | 0.421020i | |||||
−20.3923 | + | 7.42221i | −0.0255693 | + | 0.00930648i | |||||
0 | 0 | |||||||||
351.078 | + | 202.695i | 0.425284 | + | 0.245538i | |||||
20.8524 | − | 118.260i | 0.0248354 | − | 0.140848i | −0.969869 | − | 0.243628i | ||
0.994704 | + | 0.102779i | ||||||||
0 | 0 | |||||||||
−688.012 | + | 819.940i | −0.792563 | + | 0.944540i | |||||
773.927 | − | 136.464i | 0.877038 | − | 0.154645i | |||||
0 | 0 | |||||||||
423.817i | 0.465036i | |||||||||
−120.211 | + | 566.127i | −0.129825 | + | 0.611404i | |||||
0 | 0 | |||||||||
449.849 | − | 1235.95i | 0.470879 | − | 1.29373i | −0.446167 | − | 0.894950i | ||
0.917046 | − | 0.398780i | ||||||||
4.18257 | + | 23.7205i | 0.00431126 | + | 0.0244504i | |||||
0 | 0 | |||||||||
−397.115 | + | 333.219i | −0.397115 | + | 0.333219i | |||||
−1155.05 | − | 203.666i | −1.13793 | − | 0.200649i | −0.427233 | − | 0.904142i | ||
−0.710702 | + | 0.703493i | ||||||||
0 | 0 | |||||||||
−712.793 | + | 411.531i | −0.681880 | + | 0.393684i | −0.800563 | − | 0.599249i | ||
0.118683 | + | 0.992932i | ||||||||
−309.977 | − | 851.656i | −0.292267 | − | 0.802998i | |||||
0 | 0 | |||||||||
144.288 | + | 249.915i | 0.132213 | + | 0.228999i | |||||
51.9112 | − | 89.9128i | 0.0469013 | − | 0.0812355i | −0.841622 | − | 0.540068i | ||
0.888523 | + | 0.458832i | ||||||||
0 | 0 | |||||||||
−532.921 | − | 635.110i | −0.468299 | − | 0.558097i | 0.479262 | − | 0.877672i | ||
−0.947561 | + | 0.319575i | ||||||||
146.570 | + | 122.987i | 0.127045 | + | 0.106603i | |||||
0 | 0 | |||||||||
660.201 | + | 240.294i | 0.556992 | + | 0.202729i | |||||
659.556 | 0.549078 | 0.274539 | − | 0.961576i | ||||||
0.274539 | + | 0.961576i | ||||||||
0 | 0 | |||||||||
806.880 | 0.654278 | |||||||||
57.6012 | + | 20.9651i | 0.0461047 | + | 0.0167807i | |||||
0 | 0 | |||||||||
67.1262 | + | 56.3256i | 0.0523684 | + | 0.0439423i | |||||
1695.35 | + | 2020.44i | 1.30599 | + | 1.55642i | |||||
0 | 0 | |||||||||
−351.544 | + | 608.891i | −0.264120 | + | 0.457469i | |||||
205.149 | + | 355.329i | 0.152240 | + | 0.263688i | |||||
0 | 0 | |||||||||
404.672 | + | 1111.83i | 0.293069 | + | 0.805201i | |||||
−1217.43 | + | 702.886i | −0.871125 | + | 0.502944i | |||||
0 | 0 | |||||||||
−1670.80 | − | 294.606i | −1.16740 | − | 0.205843i | −0.443838 | − | 0.896107i | ||
−0.723558 | + | 0.690264i | ||||||||
−1130.50 | + | 948.604i | −0.780650 | + | 0.655043i | |||||
0 | 0 | |||||||||
−74.2792 | − | 421.258i | −0.0501132 | − | 0.284206i | |||||
205.409 | − | 564.357i | 0.136998 | − | 0.376398i | −0.852155 | − | 0.523290i | ||
0.989153 | + | 0.146892i | ||||||||
0 | 0 | |||||||||
−1566.91 | + | 220.547i | −1.02156 | + | 0.143788i | |||||
− | 518.928i | − | 0.334542i | |||||||
0 | 0 | |||||||||
−2199.35 | + | 387.805i | −1.38671 | + | 0.244514i | |||||
−1061.49 | + | 1265.03i | −0.661964 | + | 0.788897i | −0.987666 | − | 0.156575i | ||
0.325703 | + | 0.945472i | ||||||||
0 | 0 | |||||||||
221.349 | − | 1255.33i | 0.135069 | − | 0.766013i | −0.839743 | − | 0.542984i | ||
0.974812 | − | 0.223029i | ||||||||
786.977 | + | 454.361i | 0.475083 | + | 0.274290i | |||||
0 | 0 | |||||||||
−497.633 | + | 181.124i | −0.294088 | + | 0.107039i | |||||
−1319.14 | + | 480.128i | −0.771413 | + | 0.280771i | |||||
0 | 0 | |||||||||
54.5051 | + | 31.4685i | 0.0312166 | + | 0.0180229i | |||||
−106.066 | + | 601.528i | −0.0601236 | + | 0.340978i | |||||
0 | 0 | |||||||||
1834.67 | − | 2186.48i | 1.01898 | − | 1.21437i | |||||
−1369.62 | + | 241.501i | −0.753044 | + | 0.132782i | −0.536978 | − | 0.843597i | ||
−0.216067 | + | 0.976379i | ||||||||
0 | 0 | |||||||||
− | 1135.54i | − | 0.611977i | −0.952035 | − | 0.305989i | ||||
0.952035 | − | 0.305989i | ||||||||
501.654 | − | 1242.38i | 0.267694 | − | 0.662964i | |||||
0 | 0 | |||||||||
−178.919 | + | 491.575i | −0.0936213 | + | 0.257222i | |||||
210.951 | + | 1196.36i | 0.109316 | + | 0.619963i | |||||
0 | 0 | |||||||||
413.929 | − | 347.328i | 0.210415 | − | 0.176559i | −0.531489 | − | 0.847065i | ||
0.741904 | + | 0.670506i | ||||||||
−1092.23 | − | 192.590i | −0.549957 | − | 0.0969722i | |||||
0 | 0 | |||||||||
−1026.41 | + | 592.600i | −0.507157 | + | 0.292807i | |||||
754.525 | + | 2073.04i | 0.369347 | + | 1.01477i | |||||
0 | 0 | |||||||||
−298.203 | − | 516.504i | −0.143295 | − | 0.248194i | 0.785440 | − | 0.618937i | ||
−0.928736 | + | 0.370743i | ||||||||
1206.03 | − | 2088.90i | 0.574237 | − | 0.994607i | |||||
0 | 0 | |||||||||
905.821 | + | 1079.52i | 0.423526 | + | 0.504739i | |||||
1506.45 | + | 1264.06i | 0.698041 | + | 0.585726i | 0.921216 | − | 0.389053i | ||
−0.223175 | + | 0.974778i | ||||||||
0 | 0 | |||||||||
884.647 | + | 321.985i | 0.402661 | + | 0.146557i | |||||
−1054.05 | −0.475541 | |||||||||
0 | 0 | |||||||||
−135.176 | −0.0599247 | |||||||||
−3837.95 | − | 1396.90i | −1.68667 | − | 0.613897i | −0.692470 | − | 0.721447i | ||
−0.994200 | + | 0.107550i | ||||||||
0 | 0 | |||||||||
−1114.78 | − | 935.413i | −0.481540 | − | 0.404060i | |||||
592.291 | + | 705.865i | 0.253668 | + | 0.302310i | |||||
0 | 0 | |||||||||
−65.6051 | + | 113.631i | −0.0276253 | + | 0.0478485i | |||||
773.834 | + | 1340.32i | 0.323123 | + | 0.559666i | 0.981131 | − | 0.193345i | ||
−0.658007 | + | 0.753012i | ||||||||
0 | 0 | |||||||||
−540.228 | − | 1484.26i | −0.221850 | − | 0.609528i | 0.777974 | − | 0.628297i | ||
−0.999824 | + | 0.0187689i | ||||||||
1012.84 | − | 584.763i | 0.412509 | − | 0.238162i | |||||
0 | 0 | |||||||||
−1839.60 | − | 324.371i | −0.737050 | − | 0.129962i | |||||
2244.94 | − | 1883.73i | 0.892170 | − | 0.748620i | |||||
0 | 0 | |||||||||
600.675 | + | 3406.60i | 0.234897 | + | 1.33217i | |||||
−902.916 | + | 2480.74i | −0.350276 | + | 0.962376i | |||||
0 | 0 | |||||||||
334.994 | − | 536.351i | 0.127911 | − | 0.204795i | |||||
− | 1653.75i | − | 0.626497i | −0.949671 | − | 0.313248i | ||||
0.949671 | − | 0.313248i | ||||||||
0 | 0 | |||||||||
1860.16 | − | 327.996i | 0.693768 | − | 0.122330i | 0.184364 | − | 0.982858i | ||
0.509403 | + | 0.860528i | ||||||||
−923.772 | + | 1100.91i | −0.341871 | + | 0.407426i | |||||
0 | 0 | |||||||||
−26.0532 | + | 147.755i | −0.00949460 | + | 0.0538465i | |||||
1372.16 | + | 792.214i | 0.496254 | + | 0.286512i | 0.727165 | − | 0.686462i | ||
−0.230911 | + | 0.972975i | ||||||||
0 | 0 | |||||||||
−2001.13 | + | 728.352i | −0.712846 | + | 0.259455i | −0.672886 | − | 0.739746i | ||
−0.0399607 | + | 0.999201i | ||||||||
1157.90 | − | 421.442i | 0.409380 | − | 0.149002i | |||||
0 | 0 | |||||||||
1109.84 | + | 640.766i | 0.386575 | + | 0.223189i | |||||
−29.8806 | + | 169.461i | −0.0103311 | + | 0.0585905i | |||||
0 | 0 | |||||||||
1591.90 | − | 1897.15i | 0.542355 | − | 0.646354i | |||||
885.659 | − | 156.165i | 0.299547 | − | 0.0528183i | |||||
0 | 0 | |||||||||
− | 2060.03i | − | 0.686718i | |||||||
−1924.34 | − | 777.019i | −0.636888 | − | 0.257165i | |||||
0 | 0 | |||||||||
747.181 | − | 2052.86i | 0.243782 | − | 0.669786i | −0.756100 | − | 0.654456i | ||
0.999882 | − | 0.0153302i | ||||||||
312.140 | + | 1770.23i | 0.101122 | + | 0.573491i | |||||
0 | 0 | |||||||||
−86.9014 | + | 72.9189i | −0.0277591 | + | 0.0232927i | |||||
−136.682 | − | 24.1007i | −0.0433564 | − | 0.00764490i | |||||
0 | 0 | |||||||||
−2876.44 | + | 1660.71i | −0.899841 | + | 0.519523i | |||||
309.834 | + | 851.261i | 0.0962595 | + | 0.264471i | |||||
0 | 0 | |||||||||
595.907 | + | 1032.14i | 0.182618 | + | 0.316304i | |||||
3866.74 | − | 6697.40i | 1.17695 | − | 2.03853i | |||||
0 | 0 | |||||||||
272.714 | + | 325.008i | 0.0818937 | + | 0.0975971i | 0.805435 | − | 0.592684i | ||
−0.723542 | + | 0.690281i | ||||||||
−2482.33 | − | 2082.92i | −0.740435 | − | 0.621298i | |||||
0 | 0 | |||||||||
−677.203 | − | 246.482i | −0.199323 | − | 0.0725475i | |||||
3939.83 | 1.15196 | 0.575982 | − | 0.817463i | ||||||
0.575982 | + | 0.817463i | ||||||||
0 | 0 | |||||||||
1301.54 | 0.375580 | 0.187790 | − | 0.982209i | ||||||
0.187790 | + | 0.982209i | ||||||||
−828.470 | − | 301.538i | −0.237512 | − | 0.0864472i | |||||
0 | 0 | |||||||||
−111.615 | − | 93.6564i | −0.0315858 | − | 0.0265036i | |||||
−2074.81 | − | 2472.66i | −0.583371 | − | 0.695234i | 0.390947 | − | 0.920413i | ||
−0.974317 | + | 0.225179i | ||||||||
0 | 0 | |||||||||
−1355.27 | + | 2347.40i | −0.376205 | + | 0.651606i | |||||
272.914 | + | 472.701i | 0.0752762 | + | 0.130382i | |||||
0 | 0 | |||||||||
−985.657 | − | 2708.07i | −0.268448 | − | 0.737555i | |||||
−5423.52 | + | 3131.27i | −1.46786 | + | 0.847469i | −0.999352 | − | 0.0359911i | ||
−0.468507 | + | 0.883460i | ||||||||
0 | 0 | |||||||||
7096.32 | + | 1251.27i | 1.89674 | + | 0.334446i | 0.995168 | − | 0.0981849i | ||
0.901571 | + | 0.432631i | ||||||||
588.498 | − | 493.808i | 0.156323 | − | 0.131170i | |||||
0 | 0 | |||||||||
443.800 | + | 2516.91i | 0.116440 | + | 0.660365i | |||||
−52.6869 | + | 144.756i | −0.0137389 | + | 0.0377474i | |||||
0 | 0 | |||||||||
2179.04 | + | 4096.12i | 0.561332 | + | 1.05518i | |||||
− | 2812.39i | − | 0.720108i | |||||||
0 | 0 | |||||||||
1512.68 | − | 266.727i | 0.382682 | − | 0.0674772i | |||||
4223.49 | − | 5033.36i | 1.06209 | − | 1.26575i | 0.0994256 | − | 0.995045i | ||
0.962663 | − | 0.270703i | ||||||||
0 | 0 | |||||||||
−502.423 | + | 2849.38i | −0.124850 | + | 0.708060i | |||||
1605.40 | + | 926.881i | 0.396583 | + | 0.228967i | |||||
0 | 0 | |||||||||
696.893 | − | 253.648i | 0.170140 | − | 0.0619258i | |||||
−3525.46 | + | 1283.16i | −0.855690 | + | 0.311446i | −0.732358 | − | 0.680920i | ||
−0.123332 | + | 0.992365i | ||||||||
0 | 0 | |||||||||
6938.97 | + | 4006.22i | 1.66474 | + | 0.961136i | |||||
462.684 | − | 2624.01i | 0.110363 | − | 0.625901i | |||||
0 | 0 | |||||||||
−421.811 | + | 502.694i | −0.0994639 | + | 0.118537i | |||||
5217.46 | − | 919.979i | 1.22328 | − | 0.215697i | 0.475543 | − | 0.879693i | ||
0.747737 | + | 0.663996i | ||||||||
0 | 0 | |||||||||
1845.61i | 0.427829i | |||||||||
1691.25 | + | 359.119i | 0.389840 | + | 0.0827781i | |||||
0 | 0 | |||||||||
1105.54 | − | 3037.46i | 0.251985 | − | 0.692322i | |||||
−1004.71 | − | 5698.00i | −0.227726 | − | 1.29150i | −0.857404 | − | 0.514643i | ||
0.629678 | − | 0.776856i | ||||||||
0 | 0 | |||||||||
−1239.10 | + | 1039.73i | −0.277750 | + | 0.233060i | −0.771012 | − | 0.636821i | ||
0.493262 | + | 0.869881i | ||||||||
−4999.07 | − | 881.471i | −1.11439 | − | 0.196496i | |||||
0 | 0 | |||||||||
1562.64 | − | 902.193i | 0.344536 | − | 0.198918i | |||||
−652.777 | − | 1793.49i | −0.143141 | − | 0.393278i | |||||
0 | 0 | |||||||||
−1703.14 | − | 2949.93i | −0.369430 | − | 0.639871i | 0.620047 | − | 0.784565i | ||
−0.989476 | + | 0.144694i | ||||||||
−696.400 | + | 1206.20i | −0.150242 | + | 0.260227i | |||||
0 | 0 | |||||||||
−1388.43 | − | 1654.66i | −0.296337 | − | 0.353160i | |||||
−1712.42 | − | 1436.89i | −0.363538 | − | 0.305045i | 0.442661 | − | 0.896689i | ||
−0.806199 | + | 0.591644i | ||||||||
0 | 0 | |||||||||
1210.23 | + | 440.489i | 0.254208 | + | 0.0925242i | 0.465981 | − | 0.884795i | ||
−0.211773 | + | 0.977319i | ||||||||
−3298.69 | −0.689229 | |||||||||
0 | 0 | |||||||||
1533.86 | 0.317131 | |||||||||
6362.77 | + | 2315.86i | 1.30865 | + | 0.476309i | |||||
0 | 0 | |||||||||
−10834.4 | − | 9091.17i | −2.20526 | − | 1.85043i | |||||
−44.2034 | − | 52.6796i | −0.00895074 | − | 0.0106671i | |||||
0 | 0 | |||||||||
−1902.36 | + | 3294.98i | −0.381257 | + | 0.660356i | |||||
4227.55 | + | 7322.32i | 0.842921 | + | 1.45998i | 0.887414 | + | 0.460972i | ||
−0.0444934 | + | 0.999010i | ||||||||
0 | 0 | |||||||||
191.676 | + | 526.626i | 0.0378299 | + | 0.103937i | |||||
−5875.51 | + | 3392.23i | −1.15374 | + | 0.666112i | |||||
0 | 0 | |||||||||
1496.52 | + | 263.876i | 0.290909 | + | 0.0512951i | |||||
4955.18 | − | 4157.89i | 0.958412 | − | 0.804203i | |||||
0 | 0 | |||||||||
−65.8935 | − | 373.700i | −0.0126181 | − | 0.0715606i | |||||
−424.360 | + | 1165.92i | −0.0808581 | + | 0.222156i | |||||
0 | 0 | |||||||||
2037.32 | − | 2263.62i | 0.384369 | − | 0.427064i | |||||
2624.08i | 0.492638i | |||||||||
0 | 0 | |||||||||
1792.01 | − | 315.979i | 0.333144 | − | 0.0587423i | −0.00457421 | − | 0.999990i | ||
0.337718 | + | 0.941247i | ||||||||
−2094.54 | + | 2496.18i | −0.387492 | + | 0.461795i | |||||
0 | 0 | |||||||||
230.496 | − | 1307.21i | 0.0422300 | − | 0.239498i | |||||
−1489.75 | − | 860.109i | −0.271628 | − | 0.156824i | 0.358000 | − | 0.933722i | ||
−0.629627 | + | 0.776898i | ||||||||
0 | 0 | |||||||||
1506.16 | − | 548.196i | 0.271990 | − | 0.0989964i | −0.202424 | − | 0.979298i | ||
0.474415 | + | 0.880302i | ||||||||
−554.804 | + | 201.932i | −0.0997114 | + | 0.0362920i | |||||
0 | 0 | |||||||||
−5982.88 | − | 3454.22i | −1.06507 | − | 0.614921i | |||||
−545.188 | + | 3091.91i | −0.0965956 | + | 0.547821i | 0.897651 | + | 0.440707i | ||
−0.994247 | + | 0.107114i | ||||||||
0 | 0 | |||||||||
−145.065 | + | 172.882i | −0.0254612 | + | 0.0303434i | |||||
−749.168 | + | 132.099i | −0.130874 | + | 0.0230767i | |||||
0 | 0 | |||||||||
− | 2410.48i | − | 0.417177i | |||||||
10872.4 | − | 3535.17i | 1.87294 | − | 0.608986i | |||||
0 | 0 | |||||||||
−1459.39 | + | 4009.63i | −0.249084 | + | 0.684352i | |||||
113.160 | + | 641.765i | 0.0192251 | + | 0.109031i | |||||
0 | 0 | |||||||||
−4392.02 | + | 3685.34i | −0.739356 | + | 0.620394i | |||||
−7298.28 | − | 1286.88i | −1.22300 | − | 0.215648i | |||||
0 | 0 | |||||||||
−7994.76 | + | 4615.77i | −1.32759 | + | 0.766483i | −0.984926 | − | 0.172976i | ||
−0.342662 | + | 0.939459i | ||||||||
3002.23 | + | 8248.56i | 0.496291 | + | 1.36355i | |||||
0 | 0 | |||||||||
−1074.37 | − | 1860.86i | −0.176009 | − | 0.304856i | |||||
1659.42 | − | 2874.19i | 0.270637 | − | 0.468758i | |||||
0 | 0 | |||||||||
4194.73 | + | 4999.09i | 0.678046 | + | 0.808064i | 0.989855 | − | 0.142081i | ||
−0.311809 | + | 0.950145i | ||||||||
−787.988 | − | 661.201i | −0.126807 | − | 0.106404i | |||||
0 | 0 | |||||||||
−6169.70 | − | 2245.59i | −0.984115 | − | 0.358189i | |||||
−4356.14 | −0.691784 | |||||||||
0 | 0 | |||||||||
6132.22 | 0.965332 | |||||||||
301.931 | + | 109.894i | 0.0473228 | + | 0.0172241i | |||||
0 | 0 | |||||||||
3418.61 | + | 2868.55i | 0.531172 | + | 0.445706i | |||||
6767.67 | + | 8065.40i | 1.04700 | + | 1.24776i | 0.968017 | + | 0.250885i | ||
0.0789795 | + | 0.996876i | ||||||||
0 | 0 | |||||||||
5270.27 | − | 9128.37i | 0.808341 | − | 1.40009i | −0.105671 | − | 0.994401i | ||
0.914012 | − | 0.405687i | ||||||||
795.038 | + | 1377.05i | 0.121419 | + | 0.210303i | |||||
0 | 0 | |||||||||
−1453.56 | − | 3993.63i | −0.220100 | − | 0.604719i | |||||
−5189.48 | + | 2996.15i | −0.782459 | + | 0.451753i | −0.837301 | − | 0.546742i | ||
0.0548419 | + | 0.998495i | ||||||||
0 | 0 | |||||||||
−3335.44 | − | 588.128i | −0.498667 | − | 0.0879284i | |||||
−626.093 | + | 525.354i | −0.0932103 | + | 0.0782127i | |||||
0 | 0 | |||||||||
−293.650 | − | 1665.37i | −0.0433516 | − | 0.245859i | |||||
−4059.28 | + | 11152.8i | −0.596771 | + | 1.63961i | 0.160895 | + | 0.986972i | ||
−0.757666 | + | 0.652643i | ||||||||
0 | 0 | |||||||||
−1656.57 | + | 6655.95i | −0.241518 | + | 0.970396i | |||||
1725.87i | 0.250579i | |||||||||
0 | 0 | |||||||||
7174.29 | − | 1265.02i | 1.03306 | − | 0.182157i | |||||
−2511.02 | + | 2992.51i | −0.360089 | + | 0.429138i | |||||
0 | 0 | |||||||||
−317.137 | + | 1798.57i | −0.0451074 | + | 0.255817i | −0.999020 | − | 0.0442689i | ||
0.953912 | + | 0.300086i | ||||||||
−3677.04 | − | 2122.94i | −0.520866 | − | 0.300722i | |||||
0 | 0 | |||||||||
−3008.98 | + | 1095.18i | −0.422782 | + | 0.153880i | |||||
−4741.75 | + | 1725.85i | −0.663556 | + | 0.241515i | |||||
0 | 0 | |||||||||
−5746.38 | − | 3317.67i | −0.797685 | − | 0.460543i | 0.0449763 | − | 0.998988i | ||
−0.842661 | + | 0.538445i | ||||||||
656.329 | − | 3722.23i | 0.0907432 | − | 0.514630i | |||||
0 | 0 | |||||||||
4033.54 | − | 4806.99i | 0.553229 | − | 0.659313i | |||||
496.883 | − | 87.6139i | 0.0678800 | − | 0.0119691i | |||||
0 | 0 | |||||||||
− | 2511.14i | − | 0.340339i | −0.985415 | − | 0.170170i | ||||
0.985415 | − | 0.170170i | ||||||||
3103.49 | − | 2425.75i | 0.418962 | − | 0.327470i | |||||
0 | 0 | |||||||||
−618.020 | + | 1698.00i | −0.0827765 | + | 0.227427i | |||||
−1614.98 | − | 9158.99i | −0.215461 | − | 1.22194i | −0.880105 | − | 0.474779i | ||
0.664644 | − | 0.747160i | ||||||||
0 | 0 | |||||||||
−2562.92 | + | 2150.55i | −0.339269 | + | 0.284681i | |||||
−2032.51 | − | 358.386i | −0.268010 | − | 0.0472574i | |||||
0 | 0 | |||||||||
−7752.56 | + | 4475.94i | −1.01437 | + | 0.585648i | |||||
−3526.18 | − | 9688.09i | −0.459600 | − | 1.26274i | −0.925784 | − | 0.378052i | ||
0.466185 | − | 0.884687i | ||||||||
0 | 0 | |||||||||
−7969.65 | − | 13803.8i | −1.03080 | − | 1.78540i | |||||
178.313 | − | 308.848i | 0.0229750 | − | 0.0397938i | |||||
0 | 0 | |||||||||
−1112.81 | − | 1326.20i | −0.142291 | − | 0.169576i | |||||
−5433.68 | − | 4559.40i | −0.692148 | − | 0.580781i | |||||
0 | 0 | |||||||||
−4607.91 | − | 1677.14i | −0.582531 | − | 0.212024i | 0.0339105 | − | 0.999425i | ||
−0.616441 | + | 0.787401i | ||||||||
2326.87 | 0.293054 | |||||||||
0 | 0 | |||||||||
2800.79 | 0.350099 | |||||||||
−2396.16 | − | 872.132i | −0.298401 | − | 0.108609i | 0.188481 | − | 0.982077i | ||
−0.486882 | + | 0.873468i | ||||||||
0 | 0 | |||||||||
7460.39 | + | 6260.01i | 0.922156 | + | 0.773780i | |||||
5131.15 | + | 6115.06i | 0.631891 | + | 0.753059i | |||||
0 | 0 | |||||||||
94.0094 | − | 162.829i | 0.0114916 | − | 0.0199041i | |||||
5254.26 | + | 9100.64i | 0.639911 | + | 1.10836i | |||||
0 | 0 | |||||||||
789.489 | + | 2169.10i | 0.0954467 | + | 0.262238i | 0.978223 | − | 0.207555i | ||
−0.882777 | + | 0.469793i | ||||||||
−2343.47 | + | 1353.00i | −0.282282 | + | 0.162976i | |||||
0 | 0 | |||||||||
5516.75 | + | 972.753i | 0.659687 | + | 0.116321i | |||||
−1173.77 | + | 984.910i | −0.139849 | + | 0.117347i | |||||
0 | 0 | |||||||||
1565.03 | + | 8875.73i | 0.185119 | + | 1.04986i | |||||
−3249.67 | + | 8928.40i | −0.383001 | + | 1.05229i | |||||
0 | 0 | |||||||||
1685.45 | + | 1516.95i | 0.197221 | + | 0.177504i | |||||
6841.40i | 0.797671i | 0.917022 | + | 0.398836i | ||||||
−0.917022 | + | 0.398836i | ||||||||
0 | 0 | |||||||||
1336.82 | − | 235.717i | 0.154757 | − | 0.0272878i | −0.0957330 | − | 0.995407i | ||
0.250490 | + | 0.968119i | ||||||||
−1534.35 | + | 1828.56i | −0.176992 | + | 0.210931i | |||||
0 | 0 | |||||||||
741.947 | − | 4207.79i | 0.0849815 | − | 0.481954i | |||||
9105.71 | + | 5257.18i | 1.03927 | + | 0.600025i | |||||
0 | 0 | |||||||||
−6741.81 | + | 2453.82i | −0.764073 | + | 0.278100i | |||||
−664.012 | + | 241.681i | −0.0749912 | + | 0.0272946i | |||||
0 | 0 | |||||||||
131.332 | + | 75.8247i | 0.0147288 | + | 0.00850370i | |||||
2205.75 | − | 12509.4i | 0.246514 | − | 1.39805i | −0.570437 | − | 0.821341i | ||
0.816951 | − | 0.576707i | ||||||||
0 | 0 | |||||||||
8937.43 | − | 10651.2i | 0.991929 | − | 1.18214i | 0.00866258 | − | 0.999962i | ||
0.983267 | − | 0.182173i | ||||||||
3574.03 | − | 630.198i | 0.395297 | − | 0.0697015i | |||||
0 | 0 | |||||||||
5642.79i | 0.619818i | |||||||||
9556.93 | + | 331.742i | 1.04616 | + | 0.0363144i | |||||
0 | 0 | |||||||||
−2629.41 | + | 7224.26i | −0.285866 | + | 0.785410i | 0.710768 | + | 0.703427i | ||
−0.996634 | + | 0.0819832i | ||||||||
−491.929 | − | 2789.87i | −0.0532995 | − | 0.302277i | |||||
0 | 0 | |||||||||
−6473.08 | + | 5431.56i | −0.696591 | + | 0.584509i | |||||
−12954.5 | − | 2284.22i | −1.38936 | − | 0.244981i | −0.571594 | − | 0.820537i | ||
−0.817762 | + | 0.575556i | ||||||||
0 | 0 | |||||||||
−726.735 | + | 419.580i | −0.0774169 | + | 0.0446967i | |||||
−158.553 | − | 435.620i | −0.0168334 | − | 0.0462494i | |||||
0 | 0 | |||||||||
−1039.95 | − | 1801.24i | −0.109672 | − | 0.189957i | |||||
3981.53 | − | 6896.21i | 0.418485 | − | 0.724838i | −0.577302 | − | 0.816531i | ||
0.995787 | + | 0.0916928i | ||||||||
0 | 0 | |||||||||
5708.28 | + | 6802.86i | 0.595992 | + | 0.710275i | |||||
−3438.78 | − | 2885.48i | −0.357847 | − | 0.300269i | |||||
0 | 0 | |||||||||
−4045.25 | − | 1472.35i | −0.418178 | − | 0.152204i | |||||
7479.76 | 0.770674 | |||||||||
0 | 0 | |||||||||
3938.81 | 0.403172 | 0.201586 | − | 0.979471i | ||||||
0.201586 | + | 0.979471i | ||||||||
−1336.36 | − | 486.396i | −0.136341 | − | 0.0496240i | |||||
0 | 0 | |||||||||
−4206.90 | − | 3530.01i | −0.426408 | − | 0.357799i | |||||
3222.21 | + | 3840.08i | 0.325539 | + | 0.387962i | 0.903847 | − | 0.427857i | ||
−0.578308 | + | 0.815819i | ||||||||
0 | 0 | |||||||||
−5806.80 | + | 10057.7i | −0.582861 | + | 1.00955i | 0.412277 | + | 0.911059i | ||
−0.995138 | + | 0.0984871i | ||||||||
−165.590 | − | 286.811i | −0.0165675 | − | 0.0286958i | |||||
0 | 0 | |||||||||
1206.27 | + | 3314.20i | 0.119913 | + | 0.329458i | |||||
1449.35 | − | 836.781i | 0.143614 | − | 0.0829156i | −0.426471 | − | 0.904501i | ||
0.570085 | + | 0.821586i | ||||||||
0 | 0 | |||||||||
8936.14 | + | 1575.68i | 0.879813 | + | 0.155135i | |||||
2268.78 | − | 1903.73i | 0.222661 | − | 0.186835i | |||||
0 | 0 | |||||||||
−225.294 | − | 1277.71i | −0.0219703 | − | 0.124600i | |||||
170.216 | − | 467.665i | 0.0165466 | − | 0.0454614i | |||||
0 | 0 | |||||||||
−5569.04 | + | 2962.60i | −0.537948 | + | 0.286176i | |||||
− | 17951.1i | − | 1.72855i | |||||||
0 | 0 | |||||||||
6738.82 | − | 1188.24i | 0.644825 | − | 0.113700i | |||||
−2094.64 | + | 2496.29i | −0.199805 | + | 0.238118i | −0.856638 | − | 0.515918i | ||
0.656833 | + | 0.754036i | ||||||||
0 | 0 | |||||||||
4079.60 | − | 23136.6i | 0.386723 | − | 2.19322i | |||||
−6818.58 | − | 3936.71i | −0.644353 | − | 0.372017i | |||||
0 | 0 | |||||||||
4496.70 | − | 1636.67i | 0.422305 | − | 0.153706i | |||||
−8636.96 | + | 3143.60i | −0.808627 | + | 0.294316i | |||||
0 | 0 | |||||||||
16948.9 | + | 9785.48i | 1.57706 | + | 0.910518i | 0.995266 | + | 0.0971839i | ||
0.581797 | + | 0.813334i | ||||||||
1054.90 | − | 5982.63i | 0.0978546 | − | 0.554961i | |||||
0 | 0 | |||||||||
108.193 | − | 128.940i | 0.00997484 | − | 0.0118876i | |||||
1805.40 | − | 318.341i | 0.165940 | − | 0.0292597i | −0.0900607 | − | 0.995936i | ||
0.256001 | + | 0.966677i | ||||||||
0 | 0 | |||||||||
− | 1243.27i | − | 0.113579i | |||||||
−706.588 | − | 5020.05i | −0.0643540 | − | 0.457212i | |||||
0 | 0 | |||||||||
2186.36 | − | 6006.98i | 0.197924 | − | 0.543793i | |||||
−1607.99 | − | 9119.39i | −0.145128 | − | 0.823060i | |||||
0 | 0 | |||||||||
13291.5 | − | 11152.9i | 1.19240 | − | 1.00055i | 0.192590 | − | 0.981279i | ||
0.999814 | − | 0.0192670i | ||||||||
9422.48 | + | 1661.44i | 0.842773 | + | 0.148604i | |||||
0 | 0 | |||||||||
−6217.51 | + | 3589.68i | −0.552791 | + | 0.319154i | |||||
4141.92 | + | 11379.8i | 0.367155 | + | 1.00875i | 0.976438 | + | 0.215798i | ||
−0.609283 | + | 0.792953i | ||||||||
0 | 0 | |||||||||
4098.05 | + | 7098.03i | 0.361111 | + | 0.625462i | |||||
1580.71 | − | 2737.86i | 0.138875 | − | 0.240539i | |||||
0 | 0 | |||||||||
7422.30 | + | 8845.56i | 0.648251 | + | 0.772555i | |||||
−13427.2 | − | 11266.8i | −1.16926 | − | 0.981123i | −0.169266 | − | 0.985570i | ||
−0.999990 | + | 0.00444765i | ||||||||
0 | 0 | |||||||||
−10036.5 | − | 3652.98i | −0.868860 | − | 0.316239i | |||||
10995.8 | 0.949121 | |||||||||
0 | 0 | |||||||||
4099.32 | 0.351777 | |||||||||
5404.79 | + | 1967.18i | 0.462453 | + | 0.168319i | |||||
0 | 0 | |||||||||
−7445.61 | − | 6247.61i | −0.633380 | − | 0.531469i | |||||
−5627.48 | − | 6706.57i | −0.477330 | − | 0.568860i | |||||
0 | 0 | |||||||||
−3166.71 | + | 5484.90i | −0.267056 | + | 0.462555i | |||||
7187.90 | + | 12449.8i | 0.604430 | + | 1.04690i | 0.992141 | + | 0.125122i | ||
−0.387712 | + | 0.921781i | ||||||||
0 | 0 | |||||||||
−4579.81 | − | 12582.9i | −0.382909 | − | 1.05203i | −0.970126 | − | 0.242604i | ||
0.587217 | − | 0.809430i | ||||||||
−3539.96 | + | 2043.80i | −0.295122 | + | 0.170389i | |||||
0 | 0 | |||||||||
−5700.87 | − | 1005.22i | −0.472566 | − | 0.0833261i | |||||
18383.4 | − | 15425.5i | 1.51953 | − | 1.27504i | |||||
0 | 0 | |||||||||
−202.320 | − | 1147.41i | −0.0166286 | − | 0.0943055i | |||||
689.720 | − | 1894.99i | 0.0565274 | − | 0.155308i | |||||
0 | 0 | |||||||||
9134.38 | + | 5705.15i | 0.744409 | + | 0.464943i | |||||
− | 19853.8i | − | 1.61344i | |||||||
0 | 0 | |||||||||
−714.499 | + | 125.986i | −0.0577393 | + | 0.0101810i | |||||
−4938.74 | + | 5885.76i | −0.397987 | + | 0.474302i | |||||
0 | 0 | |||||||||
−1097.80 | + | 6225.93i | −0.0879731 | + | 0.498920i | |||||
−478.378 | − | 276.192i | −0.0382286 | − | 0.0220713i | |||||
0 | 0 | |||||||||
8538.52 | − | 3107.77i | 0.678558 | − | 0.246975i | 0.0203296 | − | 0.999793i | ||
0.658228 | + | 0.752819i | ||||||||
1660.82 | − | 604.488i | 0.131620 | − | 0.0479058i | |||||
0 | 0 | |||||||||
20276.0 | + | 11706.4i | 1.59803 | + | 0.922622i | |||||
−1006.06 | + | 5705.66i | −0.0790733 | + | 0.448447i | |||||
0 | 0 | |||||||||
−4904.33 | + | 5844.75i | −0.383353 | + | 0.456862i | −0.922869 | − | 0.385113i | ||
0.539517 | + | 0.841975i | ||||||||
11068.7 | − | 1951.72i | 0.862834 | − | 0.152141i | |||||
0 | 0 | |||||||||
2085.43i | 0.161678i | |||||||||
632.637 | + | 395.132i | 0.0489133 | + | 0.0305503i | |||||
0 | 0 | |||||||||
6632.93 | − | 18223.8i | 0.510056 | − | 1.40137i | |||||
646.299 | + | 3665.34i | 0.0495643 | + | 0.281093i | |||||
0 | 0 | |||||||||
−6645.99 | + | 5576.65i | −0.506929 | + | 0.425364i | |||||
−6839.48 | − | 1205.98i | −0.520283 | − | 0.0917400i | −0.0926615 | − | 0.995698i | ||
−0.427622 | + | 0.903958i | ||||||||
0 | 0 | |||||||||
−963.576 | + | 556.321i | −0.0729068 | + | 0.0420928i | |||||
−1679.20 | − | 4613.56i | −0.126713 | − | 0.348140i | |||||
0 | 0 | |||||||||
1221.26 | + | 2115.28i | 0.0916649 | + | 0.158768i | |||||
8727.13 | − | 15115.8i | 0.653294 | − | 1.13154i | −0.329024 | − | 0.944322i | ||
0.982318 | − | 0.187218i | ||||||||
0 | 0 | |||||||||
−2962.64 | − | 3530.73i | −0.220600 | − | 0.262901i | |||||
−1078.00 | − | 904.550i | −0.0800561 | − | 0.0671750i | |||||
0 | 0 | |||||||||
7368.01 | + | 2681.74i | 0.544287 | + | 0.198104i | |||||
−16278.6 | −1.19936 | −0.599679 | − | 0.800240i | ||||||
−0.599679 | + | 0.800240i | ||||||||
0 | 0 | |||||||||
−23492.9 | −1.72180 | −0.860901 | − | 0.508773i | ||||||
−0.860901 | + | 0.508773i | ||||||||
8978.22 | + | 3267.80i | 0.656291 | + | 0.238870i | |||||
0 | 0 | |||||||||
−5667.56 | − | 4755.65i | −0.412124 | − | 0.345813i | |||||
5653.02 | + | 6737.00i | 0.409995 | + | 0.488613i | |||||
0 | 0 | |||||||||
2634.09 | − | 4562.37i | 0.190049 | − | 0.329175i | −0.755217 | − | 0.655475i | ||
0.945266 | + | 0.326300i | ||||||||
7726.88 | + | 13383.3i | 0.556048 | + | 0.963103i | |||||
0 | 0 | |||||||||
−146.507 | − | 402.524i | −0.0104885 | − | 0.0288170i | |||||
−21340.1 | + | 12320.7i | −1.52381 | + | 0.879775i | |||||
0 | 0 | |||||||||
−6517.50 | − | 1149.21i | −0.462997 | − | 0.0816389i | |||||
6927.86 | − | 5813.17i | 0.490885 | − | 0.411902i | |||||
0 | 0 | |||||||||
−1604.24 | − | 9098.12i | −0.113090 | − | 0.641365i | |||||
−4998.01 | + | 13731.9i | −0.351431 | + | 0.965549i | 0.630480 | + | 0.776206i | ||
−0.981911 | + | 0.189343i | ||||||||
0 | 0 | |||||||||
2006.69 | + | 14256.8i | 0.140381 | + | 0.997355i | |||||
− | 612.347i | − | 0.0427287i | |||||||
0 | 0 | |||||||||
−15186.6 | + | 2677.81i | −1.05434 | + | 0.185908i | |||||
−9960.87 | + | 11870.9i | −0.689787 | + | 0.822056i | −0.991330 | − | 0.131396i | ||
0.301543 | + | 0.953453i | ||||||||
0 | 0 | |||||||||
3200.53 | − | 18151.1i | 0.220519 | − | 1.25063i | |||||
8197.44 | + | 4732.79i | 0.563390 | + | 0.325273i | |||||
0 | 0 | |||||||||
−6641.60 | + | 2417.34i | −0.454173 | + | 0.165305i | |||||
−7411.15 | + | 2697.44i | −0.505528 | + | 0.183997i | −0.582179 | − | 0.813061i | ||
0.0766506 | + | 0.997058i | ||||||||
0 | 0 | |||||||||
2579.64 | + | 1489.35i | 0.175084 | + | 0.101085i | 0.584981 | − | 0.811047i | ||
−0.409897 | + | 0.912132i | ||||||||
−71.9986 | + | 408.324i | −0.00487449 | + | 0.0276446i | |||||
0 | 0 | |||||||||
−4967.83 | + | 5920.43i | −0.334666 | + | 0.398840i | |||||
4838.61 | − | 853.177i | 0.325153 | − | 0.0573332i | |||||
0 | 0 | |||||||||
15489.8i | 1.03577i | 0.855452 | + | 0.517883i | ||||||
−0.855452 | + | 0.517883i | ||||||||
−12400.8 | + | 6596.93i | −0.827168 | + | 0.440034i | |||||
0 | 0 | |||||||||
980.643 | − | 2694.29i | 0.0650903 | − | 0.178834i | |||||
3773.31 | + | 21399.5i | 0.249839 | + | 1.41691i | |||||
0 | 0 | |||||||||
−9333.78 | + | 7831.97i | −0.614989 | + | 0.516037i | −0.896224 | − | 0.443602i | ||
0.281235 | + | 0.959639i | ||||||||
−1958.04 | − | 345.255i | −0.128697 | − | 0.0226928i | |||||
0 | 0 | |||||||||
6707.73 | − | 3872.71i | 0.438737 | − | 0.253305i | |||||
4535.24 | + | 12460.5i | 0.295919 | + | 0.813031i | 0.995171 | + | 0.0981555i | ||
−0.699252 | + | 0.714875i | ||||||||
0 | 0 | |||||||||
−8561.76 | − | 14829.4i | −0.555939 | − | 0.962915i | −0.997830 | − | 0.0658460i | ||
0.441891 | − | 0.897069i | ||||||||
4134.10 | − | 7160.47i | 0.267789 | − | 0.463825i | |||||
0 | 0 | |||||||||
1208.18 | + | 1439.86i | 0.0778839 | + | 0.0928184i | |||||
−1757.57 | − | 1474.78i | −0.113026 | − | 0.0948405i | |||||
0 | 0 | |||||||||
284.623 | + | 103.594i | 0.0182159 | + | 0.00663003i | |||||
−1751.32 | −0.111816 | |||||||||
0 | 0 | |||||||||
−3677.65 | −0.233685 | |||||||||
−54399.8 | − | 19799.9i | −3.44843 | − | 1.25513i | |||||
0 | 0 | |||||||||
10029.9 | + | 8416.08i | 0.632779 | + | 0.530965i | 0.901791 | − | 0.432172i | ||
−0.269012 | + | 0.963137i | ||||||||
10555.3 | + | 12579.3i | 0.664348 | + | 0.791739i | |||||
0 | 0 | |||||||||
1715.25 | − | 2970.90i | 0.107447 | − | 0.186103i | |||||
5927.91 | + | 10267.4i | 0.370460 | + | 0.641655i | |||||
0 | 0 | |||||||||
422.375 | + | 1160.47i | 0.0262718 | + | 0.0721811i | |||||
213.555 | − | 123.296i | 0.0132519 | − | 0.00765099i | |||||
0 | 0 | |||||||||
10156.1 | + | 1790.80i | 0.627276 | + | 0.110606i | |||||
−10507.9 | + | 8817.20i | −0.647486 | + | 0.543305i | −0.906307 | − | 0.422620i | ||
0.258821 | + | 0.965925i | ||||||||
0 | 0 | |||||||||
2842.52 | + | 16120.7i | 0.174336 | + | 0.988707i | 0.938908 | + | 0.344169i | ||
−0.764572 | + | 0.644538i | ||||||||
5135.38 | − | 14109.4i | 0.314227 | − | 0.863333i | |||||
0 | 0 | |||||||||
−12484.5 | − | 433.364i | −0.760364 | − | 0.0263939i | |||||
− | 6379.48i | − | 0.387640i | −0.981037 | − | 0.193820i | ||||
0.981037 | − | 0.193820i | ||||||||
0 | 0 | |||||||||
−1979.05 | + | 348.961i | −0.119699 | + | 0.0211062i | |||||
2996.87 | − | 3571.53i | 0.180842 | − | 0.215519i | |||||
0 | 0 | |||||||||
−704.875 | + | 3997.54i | −0.0423390 | + | 0.240116i | |||||
9638.64 | + | 5564.87i | 0.577625 | + | 0.333492i | 0.760189 | − | 0.649702i | ||
−0.182564 | + | 0.983194i | ||||||||
0 | 0 | |||||||||
−3943.79 | + | 1435.42i | −0.235262 | + | 0.0856283i | |||||
−12245.9 | + | 4457.15i | −0.728846 | + | 0.265278i | |||||
0 | 0 | |||||||||
7012.64 | + | 4048.75i | 0.415473 | + | 0.239873i | |||||
−1314.49 | + | 7454.85i | −0.0777015 | + | 0.440667i | 0.920993 | + | 0.389580i | ||
−0.998694 | + | 0.0510873i | ||||||||
0 | 0 | |||||||||
6467.72 | − | 7707.93i | 0.380583 | − | 0.453561i | −0.541415 | − | 0.840755i | ||
0.921998 | + | 0.387194i | ||||||||
9933.63 | − | 1751.57i | 0.583204 | − | 0.102835i | |||||
0 | 0 | |||||||||
− | 20864.9i | − | 1.21945i | |||||||
8218.97 | + | 7397.30i | 0.479275 | + | 0.431361i | |||||
0 | 0 | |||||||||
355.671 | − | 977.197i | 0.0206471 | − | 0.0567275i | |||||
−2324.19 | − | 13181.1i | −0.134619 | − | 0.763462i | |||||
0 | 0 | |||||||||
−2777.93 | + | 2330.96i | −0.160180 | + | 0.134407i | |||||
−9266.57 | − | 1633.95i | −0.533133 | − | 0.0940057i | |||||
0 | 0 | |||||||||
−22460.8 | + | 12967.8i | −1.28648 | + | 0.742749i | −0.978024 | − | 0.208490i | ||
−0.308455 | + | 0.951239i | ||||||||
−2438.77 | − | 6700.45i | −0.139374 | − | 0.382926i | |||||
0 | 0 | |||||||||
−3203.71 | − | 5548.99i | −0.182278 | − | 0.315714i | |||||
2879.85 | − | 4988.05i | 0.163489 | − | 0.283171i | −0.772629 | − | 0.634858i | ||
0.936118 | + | 0.351687i | ||||||||
0 | 0 | |||||||||
−16153.1 | − | 19250.5i | −0.912958 | − | 1.08802i | |||||
11955.2 | + | 10031.6i | 0.674206 | + | 0.565726i | |||||
0 | 0 | |||||||||
4472.70 | + | 1627.93i | 0.251127 | + | 0.0914026i | |||||
−524.910 | −0.0294072 | −0.0147036 | − | 0.999892i | ||||||
−0.0147036 | + | 0.999892i | ||||||||
0 | 0 | |||||||||
11540.0 | 0.643682 | |||||||||
−6296.30 | − | 2291.67i | −0.350429 | − | 0.127546i | |||||
0 | 0 | |||||||||
559.463 | + | 469.445i | 0.0310019 | + | 0.0260137i | |||||
9510.49 | + | 11334.2i | 0.525865 | + | 0.626701i | |||||
0 | 0 | |||||||||
−8123.39 | + | 14070.1i | −0.447219 | + | 0.774606i | −0.998204 | − | 0.0599095i | ||
0.550985 | + | 0.834515i | ||||||||
13899.0 | + | 24073.7i | 0.763525 | + | 1.32246i | |||||
0 | 0 | |||||||||
−3934.64 | − | 10810.3i | −0.215212 | − | 0.591290i | |||||
−7714.31 | + | 4453.86i | −0.421036 | + | 0.243085i | |||||
0 | 0 | |||||||||
−48179.1 | − | 8495.28i | −2.61824 | − | 0.461667i | |||||
−8822.64 | + | 7403.07i | −0.478427 | + | 0.401448i | |||||
0 | 0 | |||||||||
1719.91 | + | 9754.08i | 0.0928663 | + | 0.526671i | |||||
8737.82 | − | 24007.0i | 0.470789 | − | 1.29348i | −0.446330 | − | 0.894868i | ||
0.917119 | − | 0.398613i | ||||||||
0 | 0 | |||||||||
27364.3 | − | 21388.5i | 1.46808 | − | 1.14748i | |||||
− | 2727.84i | − | 0.146036i | |||||||
0 | 0 | |||||||||
6448.02 | − | 1136.96i | 0.343732 | − | 0.0606091i | |||||
−14404.2 | + | 17166.2i | −0.766230 | + | 0.913157i | |||||
0 | 0 | |||||||||
5068.89 | − | 28747.1i | 0.268500 | − | 1.52274i | −0.490382 | − | 0.871508i | ||
0.758881 | − | 0.651229i | ||||||||
3204.89 | + | 1850.35i | 0.169405 | + | 0.0978060i | |||||
0 | 0 | |||||||||
1825.55 | − | 664.447i | 0.0960891 | − | 0.0349736i | |||||
18862.0 | − | 6865.20i | 0.990725 | − | 0.360594i | |||||
0 | 0 | |||||||||
8495.63 | + | 4904.95i | 0.444361 | + | 0.256552i | |||||
1829.14 | − | 10373.6i | 0.0954724 | − | 0.541451i | |||||
0 | 0 | |||||||||
8335.79 | − | 9934.21i | 0.433272 | − | 0.516353i | |||||
−21970.2 | + | 3873.95i | −1.13957 | + | 0.200937i | −0.711418 | − | 0.702769i | ||
−0.428153 | + | 0.903706i | ||||||||
0 | 0 | |||||||||
15725.5i | 0.812274i | |||||||||
4188.28 | − | 6214.97i | 0.215889 | − | 0.320356i | |||||
0 | 0 | |||||||||
−3676.85 | + | 10102.1i | −0.188742 | + | 0.518564i | |||||
119.119 | + | 675.556i | 0.00610202 | + | 0.0346063i | |||||
0 | 0 | |||||||||
−3808.02 | + | 3195.31i | −0.194266 | + | 0.163009i | −0.734733 | − | 0.678357i | ||
0.540466 | + | 0.841366i | ||||||||
−17053.1 | − | 3006.92i | −0.868171 | − | 0.153082i | |||||
0 | 0 | |||||||||
3696.53 | − | 2134.19i | 0.187418 | − | 0.108206i | |||||
937.715 | + | 2576.35i | 0.0474455 | + | 0.130355i | |||||
0 | 0 | |||||||||
−8489.19 | − | 14703.7i | −0.427770 | − | 0.740919i | 0.568905 | − | 0.822403i | ||
−0.996675 | + | 0.0814843i | ||||||||
997.766 | − | 1728.18i | 0.0501747 | − | 0.0869051i | |||||
0 | 0 | |||||||||
12587.8 | + | 15001.5i | 0.630424 | + | 0.751310i | |||||
9116.52 | + | 7649.67i | 0.455646 | + | 0.382333i | |||||
0 | 0 | |||||||||
−6175.36 | − | 2247.65i | −0.307394 | − | 0.111882i | 0.183717 | − | 0.982979i | ||
−0.491111 | + | 0.871097i | ||||||||
−19945.8 | −0.990839 | |||||||||
0 | 0 | |||||||||
5513.59 | 0.272790 | |||||||||
5534.49 | + | 2014.39i | 0.273271 | + | 0.0994626i | 0.475021 | − | 0.879975i | ||
−0.201750 | + | 0.979437i | ||||||||
0 | 0 | |||||||||
7444.95 | + | 6247.06i | 0.366124 | + | 0.307214i | |||||
4660.29 | + | 5553.92i | 0.228720 | + | 0.272578i | |||||
0 | 0 | |||||||||
11771.7 | − | 20389.2i | 0.575422 | − | 0.996659i | |||||
−991.821 | − | 1717.89i | −0.0483850 | − | 0.0838053i | |||||
0 | 0 | |||||||||
3929.29 | + | 10795.6i | 0.190921 | + | 0.524552i | 0.997810 | − | 0.0661524i | ||
−0.806888 | + | 0.590704i | ||||||||
12352.2 | − | 7131.56i | 0.598988 | − | 0.345826i | |||||
0 | 0 | |||||||||
−542.920 | − | 95.7314i | −0.0262228 | − | 0.00462378i | |||||
−6078.75 | + | 5100.67i | −0.293018 | + | 0.245871i | |||||
0 | 0 | |||||||||
1749.49 | + | 9921.88i | 0.0839980 | + | 0.476376i | 0.997568 | + | 0.0696954i | ||
−0.913570 | + | 0.406681i | ||||||||
−938.435 | + | 2578.33i | −0.0449677 | + | 0.123548i | |||||
0 | 0 | |||||||||
−8904.09 | + | 2895.17i | −0.424981 | + | 0.138182i | |||||
− | 19688.7i | − | 0.937862i | −0.883235 | − | 0.468931i | ||||
0.883235 | − | 0.468931i | ||||||||
0 | 0 | |||||||||
−15599.8 | + | 2750.67i | −0.740172 | + | 0.130512i | |||||
−7234.95 | + | 8622.28i | −0.342606 | + | 0.408302i | |||||
0 | 0 | |||||||||
−1764.61 | + | 10007.6i | −0.0832348 | + | 0.472048i | |||||
3890.84 | + | 2246.37i | 0.183168 | + | 0.105752i | |||||
0 | 0 | |||||||||
−15579.7 | + | 5670.55i | −0.730584 | + | 0.265911i | −0.680412 | − | 0.732830i | ||
−0.0501719 | + | 0.998741i | ||||||||
3435.18 | − | 1250.30i | 0.160773 | − | 0.0585166i | |||||
0 | 0 | |||||||||
−11133.4 | − | 6427.88i | −0.519042 | − | 0.299669i | |||||
−5068.11 | + | 28742.7i | −0.235818 | + | 1.33739i | 0.605066 | + | 0.796175i | ||
−0.840884 | + | 0.541215i | ||||||||
0 | 0 | |||||||||
−8511.04 | + | 10143.1i | −0.394485 | + | 0.470129i | |||||
20955.1 | − | 3694.95i | 0.969387 | − | 0.170929i | |||||
0 | 0 | |||||||||
11265.1i | 0.519117i | |||||||||
19634.9 | − | 21815.9i | 0.903072 | − | 1.00338i | |||||
0 | 0 | |||||||||
4153.78 | − | 11412.4i | 0.190312 | − | 0.522878i | |||||
3024.28 | + | 17151.5i | 0.138297 | + | 0.784319i | |||||
0 | 0 | |||||||||
620.959 | − | 521.047i | 0.0282871 | − | 0.0237357i | |||||
−3718.63 | − | 655.694i | −0.169075 | − | 0.0298124i | |||||
0 | 0 | |||||||||
−7153.14 | + | 4129.87i | −0.323992 | + | 0.187057i | −0.653171 | − | 0.757211i | ||
0.329178 | + | 0.944268i | ||||||||
−3688.28 | − | 10133.5i | −0.166738 | − | 0.458109i | |||||
0 | 0 | |||||||||
3875.18 | + | 6712.01i | 0.174523 | + | 0.302282i | |||||
6300.78 | − | 10913.3i | 0.283224 | − | 0.490558i | |||||
0 | 0 | |||||||||
13522.0 | + | 16114.9i | 0.605524 | + | 0.721635i | |||||
4104.44 | + | 3444.04i | 0.183452 | + | 0.153935i | |||||
0 | 0 | |||||||||
13619.9 | + | 4957.25i | 0.606464 | + | 0.220735i | |||||
8216.48 | 0.365173 | 0.182586 | − | 0.983190i | ||||||
0.182586 | + | 0.983190i | ||||||||
0 | 0 | |||||||||
53544.7 | 2.37081 | |||||||||
−12139.0 | − | 4418.22i | −0.536471 | − | 0.195259i | |||||
0 | 0 | |||||||||
2134.35 | + | 1790.94i | 0.0939734 | + | 0.0788530i | |||||
−9004.09 | − | 10730.7i | −0.395700 | − | 0.471577i | |||||
0 | 0 | |||||||||
7708.18 | − | 13351.0i | 0.337488 | − | 0.584546i | |||||
−5320.59 | − | 9215.53i | −0.232518 | − | 0.402733i | |||||
0 | 0 | |||||||||
−6489.67 | − | 17830.2i | −0.282557 | − | 0.776318i | |||||
35978.4 | − | 20772.2i | 1.56358 | − | 0.902732i | 0.566687 | − | 0.823933i | ||
0.996891 | − | 0.0787991i | ||||||||
0 | 0 | |||||||||
35857.3 | + | 6322.62i | 1.55255 | + | 0.273757i | 0.883132 | − | 0.469125i | ||
0.669422 | + | 0.742882i | ||||||||
897.166 | − | 752.811i | 0.0387738 | − | 0.0325351i | |||||
0 | 0 | |||||||||
−1993.85 | − | 11307.7i | −0.0858533 | − | 0.486898i | |||||
−1425.46 | + | 3916.41i | −0.0612657 | + | 0.168326i | |||||
0 | 0 | |||||||||
−1608.99 | − | 341.651i | −0.0689002 | − | 0.0146302i | |||||
− | 2522.18i | − | 0.107807i | |||||||
0 | 0 | |||||||||
−16599.6 | + | 2926.96i | −0.706931 | + | 0.124651i | |||||
4890.72 | − | 5828.53i | 0.207902 | − | 0.247768i | −0.652010 | − | 0.758210i | ||
0.859912 | + | 0.510443i | ||||||||
0 | 0 | |||||||||
3366.90 | − | 19094.6i | 0.142604 | − | 0.808745i | −0.826657 | − | 0.562707i | ||
0.969260 | − | 0.246038i | ||||||||
−11531.5 | − | 6657.73i | −0.487524 | − | 0.281472i | |||||
0 | 0 | |||||||||
1573.25 | − | 572.615i | 0.0662715 | − | 0.0241209i | |||||
30831.8 | − | 11221.9i | 1.29641 | − | 0.471853i | 0.400581 | − | 0.916261i | ||
0.895824 | + | 0.444409i | ||||||||
0 | 0 | |||||||||
16458.5 | + | 9502.34i | 0.689540 | + | 0.398106i | 0.803440 | − | 0.595386i | ||
−0.113900 | + | 0.993492i | ||||||||
1710.03 | − | 9698.08i | 0.0715134 | − | 0.405573i | |||||
0 | 0 | |||||||||
−3920.05 | + | 4671.73i | −0.163345 | + | 0.194667i | |||||
2996.83 | − | 528.423i | 0.124651 | − | 0.0219793i | |||||
0 | 0 | |||||||||
− | 13742.4i | − | 0.569549i | |||||||
6633.74 | + | 12470.0i | 0.274441 | + | 0.515889i | |||||
0 | 0 | |||||||||
2556.69 | − | 7024.45i | 0.105393 | − | 0.289565i | |||||
−7538.49 | − | 42752.9i | −0.310200 | − | 1.75923i | −0.597959 | − | 0.801527i | ||
0.287759 | − | 0.957703i | ||||||||
0 | 0 | |||||||||
−18620.9 | + | 15624.8i | −0.763497 | + | 0.640650i | |||||
−1460.68 | − | 257.557i | −0.0597842 | − | 0.0105416i | |||||
0 | 0 | |||||||||
−12876.7 | + | 7434.35i | −0.525158 | + | 0.303200i | |||||
−2250.07 | − | 6182.01i | −0.0916031 | − | 0.251677i | |||||
0 | 0 | |||||||||
6716.64 | + | 11633.6i | 0.272475 | + | 0.471941i | |||||
4855.88 | − | 8410.63i | 0.196641 | − | 0.340592i | |||||
0 | 0 | |||||||||
−7384.69 | − | 8800.73i | −0.297992 | − | 0.355132i | |||||
−37093.3 | − | 31125.0i | −1.49417 | − | 1.25376i | |||||
0 | 0 | |||||||||
184.023 | + | 66.9791i | 0.00738669 | + | 0.00268853i | 0.345711 | − | 0.938341i | ||
−0.338324 | + | 0.941030i | ||||||||
7839.21 | 0.314113 | |||||||||
0 | 0 | |||||||||
1679.63 | 0.0670661 | |||||||||
12538.9 | + | 4563.79i | 0.499792 | + | 0.181909i | 0.579600 | − | 0.814901i | ||
−0.0798086 | + | 0.996810i | ||||||||
0 | 0 | |||||||||
−636.366 | − | 533.975i | −0.0252765 | − | 0.0212095i | 0.630062 | − | 0.776545i | ||
−0.655338 | + | 0.755335i | ||||||||
607.191 | + | 723.623i | 0.0240756 | + | 0.0286922i | |||||
0 | 0 | |||||||||
−6939.66 | + | 12019.8i | −0.274206 | + | 0.474939i | |||||
−18598.3 | − | 32213.3i | −0.733598 | − | 1.27063i | −0.955336 | − | 0.295522i | ||
0.221738 | − | 0.975106i | ||||||||
0 | 0 | |||||||||
9761.68 | + | 26820.0i | 0.383708 | + | 1.05423i | |||||
−13157.0 | + | 7596.21i | −0.516274 | + | 0.298071i | |||||
0 | 0 | |||||||||
22262.6 | + | 3925.49i | 0.870554 | + | 0.153502i | |||||
19484.3 | − | 16349.3i | 0.760597 | − | 0.638217i | |||||
0 | 0 | |||||||||
−4620.10 | − | 26201.9i | −0.179732 | − | 1.01931i | |||||
4587.43 | − | 12603.9i | 0.178154 | − | 0.489473i | |||||
0 | 0 | |||||||||
−9688.67 | − | 3912.13i | −0.374970 | − | 0.151407i | |||||
26858.9i | 1.03771i | |||||||||
0 | 0 | |||||||||
8374.99 | − | 1476.74i | 0.322467 | − | 0.0568596i | −0.0100718 | − | 0.999949i | ||
0.332538 | + | 0.943090i | ||||||||
5399.54 | − | 6434.92i | 0.207546 | − | 0.247344i | |||||
0 | 0 | |||||||||
1118.14 | − | 6341.30i | 0.0428325 | − | 0.242915i | |||||
−647.493 | − | 373.830i | −0.0247612 | − | 0.0142959i | 0.487568 | − | 0.873085i | ||
−0.512329 | + | 0.858789i | ||||||||
0 | 0 | |||||||||
27766.7 | − | 10106.3i | 1.05824 | − | 0.385167i | 0.246472 | − | 0.969150i | ||
0.811766 | + | 0.583983i | ||||||||
−49460.7 | + | 18002.2i | −1.88184 | + | 0.684933i | |||||
0 | 0 | |||||||||
12447.4 | + | 7186.53i | 0.471986 | + | 0.272502i | |||||
1018.01 | − | 5773.41i | 0.0385359 | − | 0.218548i | −0.959459 | − | 0.281850i | ||
0.997994 | + | 0.0633019i | ||||||||
0 | 0 | |||||||||
−20835.9 | + | 24831.3i | −0.786067 | + | 0.936798i | |||||
902.981 | − | 159.220i | 0.0340090 | − | 0.00599670i | |||||
0 | 0 | |||||||||
− | 2887.62i | − | 0.108391i | |||||||
−17017.3 | + | 27246.1i | −0.637697 | + | 1.02100i | |||||
0 | 0 | |||||||||
3699.04 | − | 10163.0i | 0.138151 | − | 0.379567i | |||||
4896.21 | + | 27767.8i | 0.182557 | + | 1.03533i | |||||
0 | 0 | |||||||||
−6665.24 | + | 5592.80i | −0.247686 | + | 0.207833i | |||||
1541.88 | + | 271.875i | 0.0572020 | + | 0.0100863i | |||||
0 | 0 | |||||||||
31574.1 | − | 18229.3i | 1.16746 | − | 0.674035i | |||||
−3318.72 | − | 9118.11i | −0.122507 | − | 0.336585i | |||||
0 | 0 | |||||||||
5335.12 | + | 9240.70i | 0.196287 | + | 0.339979i | |||||
−5518.93 | + | 9559.07i | −0.202713 | + | 0.351110i | |||||
0 | 0 | |||||||||
20538.0 | + | 24476.3i | 0.751879 | + | 0.896054i | 0.997305 | − | 0.0733610i | ||
−0.245427 | + | 0.969415i | ||||||||
−20541.4 | − | 17236.3i | −0.750761 | − | 0.629963i | |||||
0 | 0 | |||||||||
−7679.90 | − | 2795.25i | −0.279765 | − | 0.101826i | |||||
46413.8 | 1.68799 | 0.843994 | − | 0.536353i | ||||||
0.843994 | + | 0.536353i | ||||||||
0 | 0 | |||||||||
−32317.9 | −1.17148 | |||||||||
−4044.20 | − | 1471.97i | −0.146357 | − | 0.0532696i | |||||
0 | 0 | |||||||||
−6785.93 | − | 5694.07i | −0.244774 | − | 0.205390i | |||||
−7375.79 | − | 8790.12i | −0.265616 | − | 0.316549i | |||||
0 | 0 | |||||||||
−4163.77 | + | 7211.85i | −0.149456 | + | 0.258865i | −0.931026 | − | 0.364952i | ||
0.781571 | + | 0.623817i | ||||||||
6526.82 | + | 11304.8i | 0.233895 | + | 0.405117i | |||||
0 | 0 | |||||||||
−1873.35 | − | 5147.00i | −0.0669150 | − | 0.183848i | |||||
−23514.1 | + | 13575.9i | −0.838543 | + | 0.484133i | |||||
0 | 0 | |||||||||
31456.2 | + | 5546.58i | 1.11813 | + | 0.197157i | |||||
9720.81 | − | 8156.73i | 0.344974 | − | 0.289467i | |||||
0 | 0 | |||||||||
265.246 | + | 1504.29i | 0.00938269 | + | 0.0532119i | |||||
−8010.52 | + | 22008.7i | −0.282903 | + | 0.777269i | 0.714110 | + | 0.700033i | ||
−0.997013 | + | 0.0772353i | ||||||||
0 | 0 | |||||||||
−683.555 | + | 1692.87i | −0.0240629 | + | 0.0595936i | |||||
21969.0i | 0.772123i | |||||||||
0 | 0 | |||||||||
−1800.84 | + | 317.536i | −0.0630891 | + | 0.0111243i | |||||
15538.0 | − | 18517.5i | 0.543474 | − | 0.647688i | |||||
0 | 0 | |||||||||
−7508.84 | + | 42584.7i | −0.261796 | + | 1.48472i | 0.516209 | + | 0.856462i | ||
−0.778006 | + | 0.628257i | ||||||||
−8586.39 | − | 4957.36i | −0.298887 | − | 0.172562i | |||||
0 | 0 | |||||||||
17335.7 | − | 6309.67i | 0.601519 | − | 0.218935i | |||||
36138.5 | − | 13153.4i | 1.25195 | − | 0.455672i | 0.370889 | − | 0.928677i | ||
0.881059 | + | 0.473006i | ||||||||
0 | 0 | |||||||||
−35437.9 | − | 20460.1i | −1.22377 | − | 0.706545i | |||||
512.088 | − | 2904.20i | 0.0176558 | − | 0.100131i | |||||
0 | 0 | |||||||||
−349.541 | + | 416.567i | −0.0120133 | + | 0.0143169i | |||||
2254.56 | − | 397.540i | 0.0773636 | − | 0.0136413i | −0.134832 | − | 0.990868i | ||
0.212196 | + | 0.977227i | ||||||||
0 | 0 | |||||||||
31316.9i | 1.07122i | |||||||||
6825.20 | − | 960.669i | 0.233093 | − | 0.0328087i | |||||
0 | 0 | |||||||||
−14593.8 | + | 40096.0i | −0.496834 | + | 1.36504i | |||||
−433.779 | − | 2460.08i | −0.0147445 | − | 0.0836200i | 0.976548 | − | 0.215302i | ||
−0.991292 | + | 0.131682i | ||||||||
0 | 0 | |||||||||
−8852.83 | + | 7428.41i | −0.299970 | + | 0.251704i | |||||
41976.0 | + | 7401.50i | 1.42008 | + | 0.250399i | |||||
0 | 0 | |||||||||
3083.57 | − | 1780.30i | 0.103993 | − | 0.0600406i | |||||
10791.3 | + | 29648.7i | 0.363366 | + | 0.998339i | |||||
0 | 0 | |||||||||
214.842 | + | 372.118i | 0.00721165 | + | 0.0124910i | |||||
−12835.1 | + | 22231.0i | −0.430167 | + | 0.745070i | |||||
0 | 0 | |||||||||
−31524.5 | − | 37569.4i | −1.05325 | − | 1.25522i | |||||
−10111.4 | − | 8484.49i | −0.337304 | − | 0.283031i | |||||
0 | 0 | |||||||||
−51551.3 | − | 18763.1i | −1.71435 | − | 0.623973i | −0.717025 | − | 0.697047i | ||
−0.997327 | + | 0.0730739i | ||||||||
−11374.5 | −0.377676 | |||||||||
0 | 0 | |||||||||
10042.8 | 0.332429 | |||||||||
14110.5 | + | 5135.79i | 0.466351 | + | 0.169738i | 0.564499 | − | 0.825434i | ||
−0.0981477 | + | 0.995172i | ||||||||
0 | 0 | |||||||||
−18656.6 | − | 15654.8i | −0.614701 | − | 0.515795i | |||||
−13745.5 | − | 16381.3i | −0.452192 | − | 0.538901i | |||||
0 | 0 | |||||||||
6904.08 | − | 11958.2i | 0.226429 | − | 0.392186i | |||||
14086.4 | + | 24398.3i | 0.461272 | + | 0.798946i | 0.999025 | − | 0.0441562i | ||
−0.537753 | + | 0.843103i | ||||||||
0 | 0 | |||||||||
−1029.17 | − | 2827.62i | −0.0335980 | − | 0.0923096i | |||||
907.989 | − | 524.228i | 0.0295966 | − | 0.0170876i | |||||
0 | 0 | |||||||||
−1972.68 | − | 347.836i | −0.0641045 | − | 0.0113034i | |||||
−7916.63 | + | 6642.84i | −0.256868 | + | 0.215538i | −0.762123 | − | 0.647432i | ||
0.505255 | + | 0.862970i | ||||||||
0 | 0 | |||||||||
−1922.66 | − | 10903.9i | −0.0621940 | − | 0.352719i | |||||
−464.622 | + | 1276.54i | −0.0150067 | + | 0.0412305i | |||||
0 | 0 | |||||||||
6559.01 | − | 30889.3i | 0.211204 | − | 0.994657i | |||||
2293.24i | 0.0737318i | |||||||||
0 | 0 | |||||||||
22751.5 | − | 4011.70i | 0.729288 | − | 0.128593i | 0.203338 | − | 0.979109i | ||
0.525950 | + | 0.850516i | ||||||||
−18951.9 | + | 22585.9i | −0.606575 | + | 0.722888i | |||||
0 | 0 | |||||||||
−1756.98 | + | 9964.32i | −0.0560644 | + | 0.317957i | |||||
12887.8 | + | 7440.80i | 0.410625 | + | 0.237074i | |||||
0 | 0 | |||||||||
806.496 | − | 293.541i | 0.0256188 | − | 0.00932450i | −0.329179 | − | 0.944268i | ||
0.354798 | + | 0.934943i | ||||||||
−17815.1 | + | 6484.16i | −0.565057 | + | 0.205664i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 171.4.y.a.53.9 | ✓ | 120 | |
3.2 | odd | 2 | inner | 171.4.y.a.53.12 | yes | 120 | |
19.14 | odd | 18 | inner | 171.4.y.a.71.12 | yes | 120 | |
57.14 | even | 18 | inner | 171.4.y.a.71.9 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.4.y.a.53.9 | ✓ | 120 | 1.1 | even | 1 | trivial | |
171.4.y.a.53.12 | yes | 120 | 3.2 | odd | 2 | inner | |
171.4.y.a.71.9 | yes | 120 | 57.14 | even | 18 | inner | |
171.4.y.a.71.12 | yes | 120 | 19.14 | odd | 18 | inner |