Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,4,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 16.e (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 |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 13.1 | ||
Root | of defining polynomial | ||
Character | 16.13 | ||
Dual form | 16.4.e.a.5.1 |
-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 .
−2.81708 | + | 0.253099i | −0.995988 | + | 0.0894841i | |||||
5.49618 | + | 5.49618i | 1.05774 | + | 1.05774i | 0.998228 | + | 0.0595129i | ||
0.0595129 | + | 0.998228i | ||||||||
7.87188 | − | 1.42600i | 0.983985 | − | 0.178250i | |||||
−4.66372 | + | 4.66372i | −0.417136 | + | 0.417136i | −0.884215 | − | 0.467079i | ||
0.467079 | + | 0.884215i | ||||||||
−16.8743 | − | 14.0921i | −1.14815 | − | 0.958846i | |||||
− | 24.8965i | − | 1.34429i | −0.740422 | − | 0.672143i | ||||
0.740422 | − | 0.672143i | ||||||||
−21.8148 | + | 6.00953i | −0.964087 | + | 0.265586i | |||||
33.4160i | 1.23763i | |||||||||
11.9577 | − | 14.3185i | 0.378136 | − | 0.452790i | |||||
22.3431 | − | 22.3431i | 0.612427 | − | 0.612427i | −0.331151 | − | 0.943578i | ||
0.943578 | + | 0.331151i | ||||||||
51.1028 | + | 35.4277i | 1.22934 | + | 0.852259i | |||||
−11.2714 | − | 11.2714i | −0.240471 | − | 0.240471i | 0.576574 | − | 0.817045i | ||
−0.817045 | + | 0.576574i | ||||||||
6.30129 | + | 70.1355i | 0.120292 | + | 1.33889i | |||||
−51.2653 | −0.882443 | |||||||||
59.9330 | − | 22.4506i | 0.936454 | − | 0.350791i | |||||
−88.4846 | −1.26239 | −0.631196 | − | 0.775623i | ||||||
−0.631196 | + | 0.775623i | ||||||||
−8.45756 | − | 94.1356i | −0.110748 | − | 1.23266i | |||||
37.8187 | + | 37.8187i | 0.456643 | + | 0.456643i | 0.897552 | − | 0.440909i | ||
−0.440909 | + | 0.897552i | ||||||||
−30.0618 | + | 43.3627i | −0.336101 | + | 0.484810i | |||||
136.836 | − | 136.836i | 1.42191 | − | 1.42191i | |||||
−57.2873 | + | 68.5974i | −0.555168 | + | 0.664773i | |||||
48.1224i | 0.436270i | 0.975919 | + | 0.218135i | ||||||
−0.975919 | + | 0.218135i | ||||||||
−152.928 | − | 86.8686i | −1.30068 | − | 0.738833i | |||||
81.4994i | 0.651995i | |||||||||
34.6053 | + | 28.8997i | 0.261025 | + | 0.217988i | |||||
−35.2635 | + | 35.2635i | −0.251351 | + | 0.251351i | |||||
−35.5025 | − | 195.982i | −0.239619 | − | 1.32276i | |||||
10.4432 | + | 10.4432i | 0.0668705 | + | 0.0668705i | 0.739751 | − | 0.672881i | ||
−0.672881 | + | 0.739751i | ||||||||
144.419 | − | 12.9752i | 0.878903 | − | 0.0789646i | |||||
−96.9578 | −0.561746 | −0.280873 | − | 0.959745i | ||||||
−0.280873 | + | 0.959745i | ||||||||
−163.154 | + | 78.4142i | −0.901307 | + | 0.433181i | |||||
245.604 | 1.29558 | |||||||||
249.268 | − | 22.3954i | 1.25733 | − | 0.112964i | |||||
116.110 | + | 116.110i | 0.560750 | + | 0.560750i | |||||
47.6513 | + | 263.047i | 0.220608 | + | 1.21781i | |||||
−163.279 | + | 163.279i | −0.725484 | + | 0.725484i | −0.969717 | − | 0.244233i | ||
0.244233 | + | 0.969717i | ||||||||
−116.110 | − | 96.9665i | −0.495673 | − | 0.413949i | |||||
− | 123.899i | − | 0.508713i | |||||||
73.7114 | − | 129.765i | 0.291370 | − | 0.512941i | |||||
− | 360.519i | − | 1.37326i | −0.727008 | − | 0.686629i | ||||
0.727008 | − | 0.686629i | ||||||||
−350.844 | + | 420.110i | −1.28896 | + | 1.54344i | |||||
−100.249 | + | 100.249i | −0.355531 | + | 0.355531i | −0.862163 | − | 0.506632i | ||
0.506632 | + | 0.862163i | ||||||||
144.021 | − | 207.744i | 0.493454 | − | 0.711785i | |||||
−155.843 | − | 155.843i | −0.516260 | − | 0.516260i | |||||
−12.1797 | − | 135.565i | −0.0390392 | − | 0.434520i | |||||
220.669 | 0.684849 | 0.342425 | − | 0.939545i | ||||||
0.342425 | + | 0.939545i | ||||||||
452.796 | + | 206.010i | 1.36157 | + | 0.619479i | |||||
−276.837 | −0.807104 | |||||||||
−20.6274 | − | 229.590i | −0.0583432 | − | 0.649379i | |||||
−486.327 | − | 486.327i | −1.33528 | − | 1.33528i | |||||
−104.800 | − | 72.6542i | −0.279484 | − | 0.193756i | |||||
−175.752 | + | 175.752i | −0.455498 | + | 0.455498i | −0.897174 | − | 0.441676i | ||
0.441676 | + | 0.897174i | ||||||||
90.4150 | − | 108.265i | 0.227850 | − | 0.272834i | |||||
208.404i | 0.510931i | |||||||||
149.616 | + | 543.113i | 0.357024 | + | 1.29601i | |||||
415.717i | 0.966019i | |||||||||
−32.0624 | − | 26.7761i | −0.0725861 | − | 0.0606184i | |||||
405.008 | − | 405.008i | 0.893687 | − | 0.893687i | −0.101181 | − | 0.994868i | ||
0.994868 | + | 0.101181i | ||||||||
−403.555 | + | 73.1044i | −0.868311 | + | 0.157296i | |||||
664.576 | + | 664.576i | 1.39492 | + | 1.39492i | 0.813860 | + | 0.581061i | ||
0.581061 | + | 0.813860i | ||||||||
273.138 | − | 24.5399i | 0.559493 | − | 0.0502674i | |||||
831.942 | 1.66373 | |||||||||
439.771 | − | 262.193i | 0.858928 | − | 0.512096i | |||||
105.133 | 0.200619 | |||||||||
−691.885 | + | 62.1621i | −1.29038 | + | 0.115934i | |||||
−107.377 | − | 107.377i | −0.195794 | − | 0.195794i | 0.602400 | − | 0.798194i | ||
−0.798194 | + | 0.602400i | ||||||||
−696.540 | + | 126.179i | −1.24218 | + | 0.225022i | |||||
−264.489 | + | 264.489i | −0.461461 | + | 0.461461i | |||||
−356.480 | − | 297.705i | −0.608679 | − | 0.508322i | |||||
215.050i | 0.359461i | 0.983716 | + | 0.179731i | ||||||
−0.983716 | + | 0.179731i | ||||||||
−200.814 | − | 728.964i | −0.328697 | − | 1.19318i | |||||
− | 668.587i | − | 1.07195i | −0.844235 | − | 0.535974i | ||||
0.844235 | − | 0.535974i | ||||||||
418.644 | − | 501.296i | 0.657654 | − | 0.787492i | |||||
−447.935 | + | 447.935i | −0.689642 | + | 0.689642i | |||||
351.634 | + | 243.775i | 0.530726 | + | 0.367933i | |||||
−556.266 | − | 556.266i | −0.823277 | − | 0.823277i | |||||
31.3588 | + | 349.035i | 0.0455217 | + | 0.506672i | |||||
−822.956 | −1.17202 | −0.586012 | − | 0.810303i | ||||||
−0.586012 | + | 0.810303i | ||||||||
−174.808 | + | 384.215i | −0.244301 | + | 0.536956i | |||||
514.603 | 0.705902 | |||||||||
91.2471 | + | 1015.61i | 0.122885 | + | 1.36775i | |||||
326.873 | + | 326.873i | 0.432277 | + | 0.432277i | 0.889402 | − | 0.457125i | ||
−0.457125 | + | 0.889402i | ||||||||
882.027 | − | 1272.28i | 1.14568 | − | 1.65259i | |||||
412.668 | − | 412.668i | 0.526589 | − | 0.526589i | |||||
257.037 | − | 307.783i | 0.322290 | − | 0.385919i | |||||
114.795i | 0.141463i | |||||||||
−353.139 | + | 621.682i | −0.427781 | + | 0.753086i | |||||
− | 262.733i | − | 0.312918i | −0.987684 | − | 0.156459i | ||||
0.987684 | − | 0.156459i | ||||||||
478.466 | + | 399.578i | 0.560386 | + | 0.467992i | |||||
−280.619 | + | 280.619i | −0.323262 | + | 0.323262i | |||||
68.6226 | + | 378.814i | 0.0777652 | + | 0.429283i | |||||
−532.898 | − | 532.898i | −0.594182 | − | 0.594182i | |||||
−621.643 | + | 55.8512i | −0.682102 | + | 0.0612831i | |||||
−352.752 | −0.380964 | |||||||||
−1327.70 | − | 465.745i | −1.41154 | − | 0.495155i | |||||
−150.801 | −0.157850 | −0.0789251 | − | 0.996881i | ||||||
−0.0789251 | + | 0.996881i | ||||||||
779.871 | − | 70.0671i | 0.803866 | − | 0.0722229i | |||||
746.618 | + | 746.618i | 0.757958 | + | 0.757958i | |||||
116.218 | + | 641.553i | 0.116218 | + | 0.641553i | |||||
487.985 | − | 487.985i | 0.480755 | − | 0.480755i | −0.424617 | − | 0.905373i | ||
0.905373 | + | 0.424617i | ||||||||
1493.11 | + | 1246.93i | 1.44941 | + | 1.21044i | |||||
− | 1840.58i | − | 1.76075i | −0.474275 | − | 0.880377i | ||||
0.474275 | − | 0.880377i | ||||||||
313.620 | + | 178.148i | 0.295701 | + | 0.167970i | |||||
1276.33i | 1.18626i | |||||||||
450.625 | − | 539.590i | 0.412911 | − | 0.494431i | |||||
−79.4098 | + | 79.4098i | −0.0717461 | + | 0.0717461i | −0.742069 | − | 0.670323i | ||
0.670323 | + | 0.742069i | ||||||||
−227.304 | + | 327.876i | −0.202522 | + | 0.292129i | |||||
952.979 | + | 952.979i | 0.837421 | + | 0.837421i | 0.988519 | − | 0.151098i | ||
−0.151098 | + | 0.988519i | ||||||||
−52.7469 | − | 587.091i | −0.0457202 | − | 0.508881i | |||||
−1794.82 | −1.53475 | |||||||||
−558.942 | − | 1492.12i | −0.471563 | − | 1.25886i | |||||
−720.469 | −0.599788 | −0.299894 | − | 0.953973i | ||||||
−0.299894 | + | 0.953973i | ||||||||
−105.218 | − | 1171.11i | −0.0864433 | − | 0.962144i | |||||
−224.430 | − | 224.430i | −0.181984 | − | 0.181984i | |||||
97.0993 | + | 67.3153i | 0.0777193 | + | 0.0538799i | |||||
376.646 | − | 376.646i | 0.297615 | − | 0.297615i | |||||
−1038.43 | + | 1243.45i | −0.810131 | + | 0.970072i | |||||
2202.96i | 1.69702i | |||||||||
1118.34 | − | 308.080i | 0.850752 | − | 0.234365i | |||||
332.571i | 0.249865i | |||||||||
−2040.37 | − | 1703.96i | −1.51415 | − | 1.26450i | |||||
1981.48 | − | 1981.48i | 1.45255 | − | 1.45255i | |||||
−763.240 | + | 138.262i | −0.552750 | + | 0.100131i | |||||
−963.056 | − | 963.056i | −0.689107 | − | 0.689107i | |||||
−2343.65 | + | 210.564i | −1.65705 | + | 0.148877i | |||||
2622.35 | 1.83225 | 0.916124 | − | 0.400895i | ||||||
0.916124 | + | 0.400895i | ||||||||
−1172.51 | + | 849.925i | −0.809658 | + | 0.586902i | |||||
−1101.97 | −0.752119 | |||||||||
−296.169 | + | 26.6092i | −0.199814 | + | 0.0179522i | |||||
657.574 | + | 657.574i | 0.438569 | + | 0.438569i | 0.891530 | − | 0.452961i | ||
−0.452961 | + | 0.891530i | ||||||||
1933.36 | − | 350.231i | 1.27483 | − | 0.230937i | |||||
941.555 | − | 941.555i | 0.613858 | − | 0.613858i | |||||
329.666 | + | 275.312i | 0.212529 | + | 0.177488i | |||||
− | 328.919i | − | 0.209695i | |||||||
1930.27 | − | 531.751i | 1.21706 | − | 0.335274i | |||||
2511.52i | 1.56623i | 0.621874 | + | 0.783117i | ||||||
−0.621874 | + | 0.783117i | ||||||||
678.146 | − | 812.030i | 0.418316 | − | 0.500903i | |||||
−1086.02 | + | 1086.02i | −0.662697 | + | 0.662697i | −0.956015 | − | 0.293318i | ||
0.293318 | + | 0.956015i | ||||||||
1079.58 | + | 748.434i | 0.651723 | + | 0.451816i | |||||
1212.84 | + | 1212.84i | 0.724393 | + | 0.724393i | |||||
−54.4290 | − | 605.813i | −0.0321661 | − | 0.358019i | |||||
−503.677 | −0.294543 | |||||||||
750.210 | + | 2002.72i | 0.434149 | + | 1.15898i | |||||
−97.4080 | −0.0557882 | |||||||||
169.219 | + | 1883.46i | 0.0959222 | + | 1.06765i | |||||
−1521.54 | − | 1521.54i | −0.853706 | − | 0.853706i | |||||
−1052.48 | + | 1518.15i | −0.584547 | + | 0.843183i | |||||
−2284.63 | + | 2284.63i | −1.25614 | + | 1.25614i | −0.303214 | + | 0.952922i | ||
−0.952922 | + | 0.303214i | ||||||||
1148.50 | − | 1375.24i | 0.625163 | − | 0.748587i | |||||
− | 2814.39i | − | 1.51677i | −0.651809 | − | 0.758383i | ||||
0.651809 | − | 0.758383i | ||||||||
−1052.28 | − | 597.735i | −0.561521 | − | 0.318965i | |||||
− | 2956.80i | − | 1.56237i | |||||||
1707.84 | + | 1426.25i | 0.893645 | + | 0.746304i | |||||
452.184 | − | 452.184i | 0.234325 | − | 0.234325i | |||||
−176.681 | − | 975.322i | −0.0906781 | − | 0.500566i | |||||
−906.308 | − | 906.308i | −0.460709 | − | 0.460709i | 0.438179 | − | 0.898888i | ||
−0.898888 | + | 0.438179i | ||||||||
2318.33 | − | 208.290i | 1.16732 | − | 0.104877i | |||||
−1931.93 | −0.963598 | |||||||||
395.203 | − | 1126.61i | 0.195272 | − | 0.556663i | |||||
1198.08 | 0.586472 | |||||||||
−1449.68 | + | 130.246i | −0.703070 | + | 0.0631670i | |||||
1392.36 | + | 1392.36i | 0.669067 | + | 0.669067i | 0.957500 | − | 0.288433i | ||
−0.288433 | + | 0.957500i | ||||||||
−514.101 | − | 2837.96i | −0.244784 | − | 1.35127i | |||||
−1145.43 | + | 1145.43i | −0.540433 | + | 0.540433i | |||||
−1003.56 | − | 838.097i | −0.469225 | − | 0.391861i | |||||
− | 1221.66i | − | 0.566075i | −0.959109 | − | 0.283038i | ||||
0.959109 | − | 0.283038i | ||||||||
−2162.73 | + | 3807.36i | −0.993202 | + | 1.74848i | |||||
− | 1942.91i | − | 0.884347i | |||||||
−1058.07 | + | 1266.96i | −0.477356 | + | 0.571598i | |||||
−1263.75 | + | 1263.75i | −0.565155 | + | 0.565155i | |||||
−646.193 | + | 932.104i | −0.286464 | + | 0.413211i | |||||
−563.418 | − | 563.418i | −0.247606 | − | 0.247606i | 0.572381 | − | 0.819988i | ||
−0.819988 | + | 0.572381i | ||||||||
−29.0545 | − | 323.387i | −0.0126587 | − | 0.140896i | |||||
2029.05 | 0.876468 | |||||||||
837.474 | − | 1840.71i | 0.358676 | − | 0.788344i | |||||
4451.99 | 1.89058 | |||||||||
66.4976 | + | 740.141i | 0.0280012 | + | 0.311662i | |||||
−2202.23 | − | 2202.23i | −0.919565 | − | 0.919565i | 0.0774329 | − | 0.996998i | ||
−0.996998 | + | 0.0774329i | ||||||||
−1449.01 | − | 1004.55i | −0.600016 | − | 0.415969i | |||||
121.294 | − | 121.294i | 0.0498104 | − | 0.0498104i | −0.681763 | − | 0.731573i | ||
0.731573 | + | 0.681763i | ||||||||
719.502 | − | 861.551i | 0.293039 | − | 0.350892i | |||||
7305.26i | 2.95093i | |||||||||
−289.193 | − | 1049.78i | −0.115867 | − | 0.420602i | |||||
− | 1522.98i | − | 0.605251i | |||||||
1636.09 | + | 1366.34i | 0.644968 | + | 0.538628i | |||||
−1977.02 | + | 1977.02i | −0.773124 | + | 0.773124i | |||||
1737.08 | − | 314.675i | 0.673882 | − | 0.122074i | |||||
877.939 | + | 877.939i | 0.337887 | + | 0.337887i | |||||
993.731 | − | 89.2813i | 0.379436 | − | 0.0340902i | |||||
3927.65 | 1.48793 | 0.743966 | − | 0.668218i | ||||||
0.743966 | + | 0.668218i | ||||||||
3858.12 | + | 976.000i | 1.45019 | + | 0.366858i | |||||
−3249.02 | −1.21176 | −0.605880 | − | 0.795556i | ||||||
−0.605880 | + | 0.795556i | ||||||||
424.817 | − | 38.1675i | 0.157217 | − | 0.0141251i | |||||
577.833 | + | 577.833i | 0.212202 | + | 0.212202i | |||||
−2179.23 | + | 394.769i | −0.794178 | + | 0.143866i | |||||
2420.90 | − | 2420.90i | 0.875545 | − | 0.875545i | −0.117525 | − | 0.993070i | ||
0.993070 | + | 0.117525i | ||||||||
−2292.25 | − | 1914.31i | −0.822743 | − | 0.687093i | |||||
1371.30i | 0.488488i | 0.969714 | + | 0.244244i | ||||||
−0.969714 | + | 0.244244i | ||||||||
−489.773 | − | 1777.89i | −0.173161 | − | 0.628580i | |||||
− | 1180.33i | − | 0.414198i | |||||||
−1251.18 | + | 1498.20i | −0.435807 | + | 0.521847i | |||||
259.998 | − | 259.998i | 0.0898931 | − | 0.0898931i | |||||
−4521.82 | − | 3134.81i | −1.55191 | − | 1.07588i | |||||
1681.36 | + | 1681.36i | 0.572836 | + | 0.572836i | |||||
465.849 | + | 5185.06i | 0.157559 | + | 1.75369i | |||||
−1608.06 | −0.539941 | |||||||||
−928.580 | − | 422.480i | −0.309546 | − | 0.140835i | |||||
1689.98 | 0.559321 | |||||||||
−323.038 | − | 3595.52i | −0.106151 | − | 1.18150i | |||||
−1620.50 | − | 1620.50i | −0.528719 | − | 0.528719i | 0.391471 | − | 0.920190i | ||
−0.920190 | + | 0.391471i | ||||||||
−1132.88 | + | 1634.12i | −0.367011 | + | 0.529396i | |||||
−1181.95 | + | 1181.95i | −0.380217 | + | 0.380217i | |||||
203.605 | − | 243.802i | 0.0650382 | − | 0.0778784i | |||||
− | 935.068i | − | 0.296610i | |||||||
557.350 | − | 981.184i | 0.175569 | − | 0.309079i | |||||
2413.91i | 0.755148i | |||||||||
−2925.82 | − | 2443.42i | −0.908997 | − | 0.759125i | |||||
3674.67 | − | 3674.67i | 1.13384 | − | 1.13384i | |||||
297.185 | + | 1640.53i | 0.0910736 | + | 0.502749i | |||||
997.347 | + | 997.347i | 0.303569 | + | 0.303569i | |||||
5056.15 | − | 454.268i | 1.52859 | − | 0.137335i | |||||
−419.617 | −0.126007 | −0.0630036 | − | 0.998013i | ||||||
−0.0630036 | + | 0.998013i | ||||||||
1952.24 | + | 4061.97i | 0.582320 | + | 1.21161i | |||||
−2723.38 | −0.806929 | |||||||||
2029.62 | − | 182.350i | 0.597381 | − | 0.0536714i | |||||
−2133.64 | − | 2133.64i | −0.623853 | − | 0.623853i | 0.322661 | − | 0.946515i | ||
−0.946515 | + | 0.322661i | ||||||||
592.813 | + | 3272.48i | 0.172193 | + | 0.950548i | |||||
−1574.42 | + | 1574.42i | −0.454325 | + | 0.454325i | −0.896787 | − | 0.442462i | ||
0.442462 | + | 0.896787i | ||||||||
689.039 | + | 575.433i | 0.197539 | + | 0.164969i | |||||
− | 6114.67i | − | 1.74163i | |||||||
−290.574 | − | 165.057i | −0.0822289 | − | 0.0467091i | |||||
1194.86i | 0.335957i | 0.985791 | + | 0.167978i | ||||||
−0.985791 | + | 0.167978i | ||||||||
−965.712 | + | 1156.37i | −0.269789 | + | 0.323052i | |||||
−1029.14 | + | 1029.14i | −0.285675 | + | 0.285675i | |||||
2610.63 | − | 3765.71i | 0.720075 | − | 1.03867i | |||||
−4523.12 | − | 4523.12i | −1.23970 | − | 1.23970i | |||||
−557.567 | − | 6205.91i | −0.151856 | − | 1.69021i | |||||
−4241.03 | −1.14782 | −0.573911 | − | 0.818917i | ||||||
−0.573911 | + | 0.818917i | ||||||||
−3072.49 | + | 1150.94i | −0.826367 | + | 0.309553i | |||||
−5571.19 | −1.48910 | −0.744548 | − | 0.667569i | ||||||
−0.744548 | + | 0.667569i | ||||||||
−84.1734 | − | 936.878i | −0.0223590 | − | 0.248863i | |||||
3780.46 | + | 3780.46i | 0.998012 | + | 0.998012i | |||||
6179.15 | + | 4283.77i | 1.62123 | + | 1.12394i | |||||
1291.09 | − | 1291.09i | 0.336672 | − | 0.336672i | |||||
−5080.47 | + | 6083.49i | −1.31674 | + | 1.57670i | |||||
− | 852.541i | − | 0.219619i | |||||||
2115.12 | − | 582.671i | 0.541572 | − | 0.149192i | |||||
3593.11i | 0.914474i | |||||||||
2956.75 | + | 2469.26i | 0.748006 | + | 0.624678i | |||||
−482.728 | + | 482.728i | −0.121393 | + | 0.121393i | −0.765193 | − | 0.643801i | ||
0.643801 | + | 0.765193i | ||||||||
6548.95 | − | 1186.35i | 1.63708 | − | 0.296560i | |||||
1075.20 | + | 1075.20i | 0.267184 | + | 0.267184i | |||||
−7387.36 | + | 663.713i | −1.82490 | + | 0.163957i | |||||
4536.19 | 1.11399 | |||||||||
3087.94 | − | 2691.07i | 0.753891 | − | 0.656999i | |||||
8093.12 | 1.96434 | 0.982169 | − | 0.188002i | ||||||
0.982169 | + | 0.188002i | ||||||||
3104.35 | − | 278.909i | 0.749102 | − | 0.0673027i | |||||
4065.08 | + | 4065.08i | 0.975257 | + | 0.975257i | |||||
827.598 | − | 149.921i | 0.197406 | − | 0.0357603i | |||||
−348.969 | + | 348.969i | −0.0827610 | + | 0.0827610i | |||||
−2018.87 | − | 1686.01i | −0.476054 | − | 0.397564i | |||||
− | 410.300i | − | 0.0961984i | −0.998843 | − | 0.0480992i | ||||
0.998843 | − | 0.0480992i | ||||||||
−5357.79 | + | 1475.96i | −1.24905 | + | 0.344088i | |||||
− | 1639.32i | − | 0.380009i | |||||||
−2414.13 | + | 2890.74i | −0.556465 | + | 0.666326i | |||||
1444.03 | − | 1444.03i | 0.330986 | − | 0.330986i | |||||
−998.378 | − | 692.139i | −0.227558 | − | 0.157758i | |||||
−4.77962 | − | 4.77962i | −0.00108334 | − | 0.00108334i | 0.706565 | − | 0.707648i | ||
−0.707648 | + | 0.706565i | ||||||||
83.2490 | + | 926.590i | 0.0187643 | + | 0.208854i | |||||
−2833.98 | −0.635247 | −0.317623 | − | 0.948217i | ||||||
−0.317623 | + | 0.948217i | ||||||||
−5303.15 | + | 1986.54i | −1.18217 | + | 0.442836i | |||||
−3084.67 | −0.683855 | |||||||||
−635.665 | − | 7075.17i | −0.140153 | − | 1.55995i | |||||
1820.95 | + | 1820.95i | 0.399300 | + | 0.399300i | |||||
−1704.87 | + | 2459.19i | −0.371815 | + | 0.536326i | |||||
1525.80 | − | 1525.80i | 0.330962 | − | 0.330962i | −0.521989 | − | 0.852952i | ||
0.852952 | + | 0.521989i | ||||||||
2784.53 | − | 3334.27i | 0.600738 | − | 0.719339i | |||||
− | 3239.94i | − | 0.695234i | |||||||
−3230.70 | − | 1835.16i | −0.689539 | − | 0.391684i | |||||
4750.23i | 1.00845i | 0.863572 | + | 0.504226i | ||||||
−0.863572 | + | 0.504226i | ||||||||
−3723.63 | − | 3109.69i | −0.786308 | − | 0.656665i | |||||
644.104 | − | 644.104i | 0.135293 | − | 0.135293i | −0.636217 | − | 0.771510i | ||
0.771510 | + | 0.636217i | ||||||||
306.662 | + | 1692.85i | 0.0640740 | + | 0.353705i | |||||
−1938.79 | − | 1938.79i | −0.402961 | − | 0.402961i | |||||
1418.90 | − | 127.480i | 0.293361 | − | 0.0263569i | |||||
−8975.67 | −1.84605 | |||||||||
−2620.29 | − | 5451.95i | −0.536118 | − | 1.11548i | |||||
2916.53 | 0.593635 | |||||||||
274.406 | − | 24.6539i | 0.0555644 | − | 0.00499216i | |||||
−828.827 | − | 828.827i | −0.166965 | − | 0.166965i | |||||
−953.405 | − | 5263.03i | −0.191075 | − | 1.05478i | |||||
−1433.16 | + | 1433.16i | −0.285755 | + | 0.285755i | −0.835399 | − | 0.549644i | ||
0.549644 | + | 0.835399i | ||||||||
4671.41 | + | 3901.21i | 0.926675 | + | 0.773888i | |||||
3777.69i | 0.745578i | |||||||||
2580.67 | − | 4543.13i | 0.506751 | − | 0.892108i | |||||
1575.79i | 0.307868i | |||||||||
5857.75 | − | 7014.23i | 1.13869 | − | 1.36350i | |||||
542.407 | − | 542.407i | 0.104910 | − | 0.104910i | |||||
−2887.34 | + | 4164.85i | −0.555668 | + | 0.801526i | |||||
2495.85 | + | 2495.85i | 0.477935 | + | 0.477935i | |||||
712.319 | + | 7928.36i | 0.135726 | + | 1.51068i | |||||
5364.10 | 1.01703 | |||||||||
3115.65 | + | 1417.54i | 0.587811 | + | 0.267439i | |||||
−6198.79 | −1.16374 | |||||||||
748.364 | + | 8329.55i | 0.139808 | + | 1.55611i | |||||
−231.211 | − | 231.211i | −0.0429834 | − | 0.0429834i | 0.685288 | − | 0.728272i | ||
−0.728272 | + | 0.685288i | ||||||||
−5172.09 | − | 3585.62i | −0.956842 | − | 0.663343i | |||||
10116.2 | − | 10116.2i | 1.86242 | − | 1.86242i | |||||
−1159.39 | + | 1388.29i | −0.212416 | + | 0.254353i | |||||
871.410i | 0.158885i | 0.996839 | + | 0.0794423i | ||||||
−0.996839 | + | 0.0794423i | ||||||||
744.577 | + | 2702.84i | 0.135107 | + | 0.490443i | |||||
− | 3515.02i | − | 0.634762i | −0.948298 | − | 0.317381i | ||||
0.948298 | − | 0.317381i | ||||||||
2782.53 | + | 2323.76i | 0.500087 | + | 0.417634i | |||||
−3879.95 | + | 3879.95i | −0.694001 | + | 0.694001i | |||||
−6478.22 | + | 1173.54i | −1.15325 | + | 0.208913i | |||||
4723.77 | + | 4723.77i | 0.836951 | + | 0.836951i | 0.988456 | − | 0.151506i | ||
−0.151506 | + | 0.988456i | ||||||||
5442.40 | − | 488.970i | 0.959732 | − | 0.0862266i | |||||
466.665 | 0.0819067 | |||||||||
−828.174 | + | 3273.77i | −0.144676 | + | 0.571904i | |||||
−872.901 | −0.151778 | |||||||||
−3375.09 | + | 303.233i | −0.584119 | + | 0.0524799i | |||||
−3346.38 | − | 3346.38i | −0.576462 | − | 0.576462i | |||||
4050.89 | − | 733.824i | 0.694597 | − | 0.125827i | |||||
918.613 | − | 918.613i | 0.156786 | − | 0.156786i | |||||
−4274.79 | − | 3569.98i | −0.726254 | − | 0.606512i | |||||
10475.5i | 1.77155i | |||||||||
2166.55 | + | 7864.65i | 0.364718 | + | 1.32394i | |||||
− | 5493.90i | − | 0.920633i | |||||||
2936.85 | − | 3516.67i | 0.489904 | − | 0.586625i | |||||
−1820.26 | + | 1820.26i | −0.302268 | + | 0.302268i | −0.841901 | − | 0.539633i | ||
0.539633 | + | 0.841901i | ||||||||
3039.23 | + | 2106.99i | 0.502408 | + | 0.348301i | |||||
−5456.13 | − | 5456.13i | −0.897880 | − | 0.897880i | |||||
309.200 | + | 3441.50i | 0.0506547 | + | 0.563804i | |||||
1001.55 | 0.163345 | |||||||||
5128.93 | − | 11273.0i | 0.832757 | − | 1.83034i | |||||
74.0970 | 0.0119772 | 0.00598861 | − | 0.999982i | ||||||
0.00598861 | + | 0.999982i | ||||||||
491.749 | + | 5473.33i | 0.0791350 | + | 0.880799i | |||||
−3959.83 | − | 3959.83i | −0.634420 | − | 0.634420i | |||||
2660.01 | − | 3836.94i | 0.424292 | − | 0.612021i | |||||
−2166.34 | + | 2166.34i | −0.344029 | + | 0.344029i | |||||
3240.23 | − | 3879.94i | 0.512315 | − | 0.613460i | |||||
− | 1647.24i | − | 0.259307i | |||||||
1584.46 | − | 2789.36i | 0.248339 | − | 0.437187i | |||||
− | 2467.01i | − | 0.384984i | |||||||
1729.80 | + | 1444.59i | 0.268770 | + | 0.224456i | |||||
2102.73 | − | 2102.73i | 0.325305 | − | 0.325305i | −0.525493 | − | 0.850798i | ||
0.850798 | + | 0.525493i | ||||||||
163.698 | + | 903.652i | 0.0252159 | + | 0.139198i | |||||
−6612.85 | − | 6612.85i | −1.01426 | − | 1.01426i | −0.999897 | − | 0.0143661i | ||
−0.0143661 | − | 0.999897i | ||||||||
−5716.00 | + | 513.551i | −0.872951 | + | 0.0784299i | |||||
794.940 | 0.120885 | |||||||||
−1893.35 | + | 5397.38i | −0.286693 | + | 0.817277i | |||||
2216.90 | 0.334259 | 0.167130 | − | 0.985935i | ||||||
0.167130 | + | 0.985935i | ||||||||
−12541.6 | + | 1126.80i | −1.88299 | + | 0.169177i | |||||
−1002.93 | − | 1002.93i | −0.149944 | − | 0.149944i | |||||
−374.658 | − | 2068.21i | −0.0557776 | − | 0.307906i | |||||
−12107.9 | + | 12107.9i | −1.79500 | + | 1.79500i | |||||
6761.23 | + | 5646.46i | 0.998162 | + | 0.833589i | |||||
− | 2082.23i | − | 0.306117i | −0.988217 | − | 0.153059i | ||||
0.988217 | − | 0.153059i | ||||||||
4336.23 | + | 2463.14i | 0.634831 | + | 0.360608i | |||||
− | 3998.49i | − | 0.582955i | |||||||
−310.995 | + | 372.393i | −0.0451533 | + | 0.0540678i | |||||
−1827.87 | + | 1827.87i | −0.264293 | + | 0.264293i | |||||
−1808.84 | + | 2609.16i | −0.260464 | + | 0.375707i | |||||
3118.10 | + | 3118.10i | 0.447148 | + | 0.447148i | |||||
−1848.95 | − | 20579.5i | −0.264061 | − | 2.93909i | |||||
4509.22 | 0.641360 | 0.320680 | − | 0.947188i | ||||||
0.320680 | + | 0.947188i | ||||||||
1080.38 | + | 2884.12i | 0.153040 | + | 0.408547i | |||||
12047.1 | 1.69959 | |||||||||
385.464 | + | 4290.34i | 0.0541603 | + | 0.602823i | |||||
4375.61 | + | 4375.61i | 0.612320 | + | 0.612320i | |||||
−4954.82 | − | 3434.99i | −0.690579 | − | 0.478753i | |||||
−8661.56 | + | 8661.56i | −1.20236 | + | 1.20236i | −0.228908 | + | 0.973448i | ||
−0.973448 | + | 0.228908i | ||||||||
5069.05 | − | 6069.81i | 0.700840 | − | 0.839205i | |||||
− | 10586.3i | − | 1.45779i | |||||||
−4813.86 | + | 1326.12i | −0.660254 | + | 0.181886i | |||||
− | 235.418i | − | 0.0321609i | |||||||
−2695.43 | − | 2251.02i | −0.366767 | − | 0.306296i | |||||
3522.46 | − | 3522.46i | 0.477405 | − | 0.477405i | −0.426896 | − | 0.904301i | ||
0.904301 | + | 0.426896i | ||||||||
−2776.82 | + | 503.025i | −0.374863 | + | 0.0679069i | |||||
14412.9 | + | 14412.9i | 1.93804 | + | 1.93804i | |||||
−11064.5 | + | 994.086i | −1.48196 | + | 0.133146i | |||||
3044.88 | 0.406229 | 0.203115 | − | 0.979155i | ||||||
0.203115 | + | 0.979155i | ||||||||
−11115.7 | − | 1772.98i | −1.47720 | − | 0.235618i | |||||
5188.54 | 0.686837 | |||||||||
9152.75 | − | 822.325i | 1.20690 | − | 0.108433i | |||||
−3349.92 | − | 3349.92i | −0.440016 | − | 0.440016i | |||||
−1187.08 | + | 215.042i | −0.155322 | + | 0.0281368i | |||||
1932.73 | − | 1932.73i | 0.251911 | − | 0.251911i | −0.569843 | − | 0.821754i | ||
0.821754 | + | 0.569843i | ||||||||
−1774.05 | − | 1481.55i | −0.230340 | − | 0.192362i | |||||
− | 4258.09i | − | 0.550744i | |||||||
6039.14 | − | 1663.66i | 0.778119 | − | 0.214356i | |||||
7228.29i | 0.927784i | |||||||||
−6207.15 | + | 7432.61i | −0.793685 | + | 0.950379i | |||||
3838.04 | − | 3838.04i | 0.488893 | − | 0.488893i | |||||
6941.96 | + | 4812.61i | 0.880926 | + | 0.610714i | |||||
−672.457 | − | 672.457i | −0.0850117 | − | 0.0850117i | 0.663322 | − | 0.748334i | ||
−0.748334 | + | 0.663322i | ||||||||
−347.075 | − | 3863.07i | −0.0437119 | − | 0.486528i | |||||
10349.9 | 1.29861 | |||||||||
1829.71 | + | 4884.51i | 0.228714 | + | 0.610563i | |||||
−7606.74 | −0.947288 | −0.473644 | − | 0.880716i | ||||||
−0.473644 | + | 0.880716i | ||||||||
298.740 | + | 3325.07i | 0.0370641 | + | 0.412536i | |||||
1092.85 | + | 1092.85i | 0.135084 | + | 0.135084i | |||||
3145.49 | − | 4537.23i | 0.387361 | − | 0.558751i | |||||
−2399.96 | + | 2399.96i | −0.294457 | + | 0.294457i | |||||
−666.631 | + | 798.241i | −0.0814885 | + | 0.0975765i | |||||
7296.32i | 0.888612i | |||||||||
13531.7 | + | 7686.54i | 1.64196 | + | 0.932697i | |||||
4981.58i | 0.602257i | 0.953584 | + | 0.301129i | ||||||
−0.953584 | + | 0.301129i | ||||||||
−5162.08 | − | 4310.98i | −0.621797 | − | 0.519278i | |||||
−13803.8 | + | 13803.8i | −1.65667 | + | 1.65667i | |||||
−2624.67 | − | 14488.8i | −0.313855 | − | 1.73256i | |||||
−10083.3 | − | 10083.3i | −1.20137 | − | 1.20137i | |||||
4530.03 | − | 406.998i | 0.537775 | − | 0.0483161i | |||||
−3048.89 | −0.360637 | |||||||||
2722.81 | + | 955.136i | 0.320906 | + | 0.112571i | |||||
−11937.9 | −1.40192 | |||||||||
−4760.80 | + | 427.732i | −0.557077 | + | 0.0500503i | |||||
−3433.38 | − | 3433.38i | −0.400314 | − | 0.400314i | 0.478030 | − | 0.878344i | ||
−0.878344 | + | 0.478030i | ||||||||
1820.05 | + | 10047.1i | 0.211450 | + | 1.16726i | |||||
7973.72 | − | 7973.72i | 0.923077 | − | 0.923077i | −0.0741686 | − | 0.997246i | ||
0.997246 | + | 0.0741686i | ||||||||
4975.22 | + | 4154.93i | 0.573910 | + | 0.479286i | |||||
7373.88i | 0.847590i | |||||||||
2777.81 | − | 4890.18i | 0.318166 | − | 0.560114i | |||||
− | 7211.44i | − | 0.823074i | |||||||
3030.51 | − | 3628.81i | 0.344668 | − | 0.412715i | |||||
16545.6 | − | 16545.6i | 1.87517 | − | 1.87517i | |||||
−511.866 | + | 738.343i | −0.0578084 | + | 0.0833859i | |||||
−2768.30 | − | 2768.30i | −0.311550 | − | 0.311550i | |||||
236.665 | + | 2634.16i | 0.0265418 | + | 0.295420i | |||||
4800.16 | 0.536463 | 0.268232 | − | 0.963354i | ||||||
0.268232 | + | 0.963354i | ||||||||
−1321.76 | + | 2905.14i | −0.147207 | + | 0.323550i | |||||
6242.32 | 0.692810 | 0.346405 | − | 0.938085i | ||||||
0.346405 | + | 0.938085i | ||||||||
−610.959 | − | 6800.18i | −0.0675737 | − | 0.752118i | |||||
−535.372 | − | 535.372i | −0.0590095 | − | 0.0590095i | |||||
8860.69 | + | 6142.79i | 0.973280 | + | 0.674739i | |||||
−1819.93 | + | 1819.93i | −0.199220 | + | 0.199220i | |||||
−9421.79 | + | 11281.9i | −1.02783 | + | 1.23075i | |||||
4929.27i | 0.535903i | 0.963432 | + | 0.267951i | ||||||
−0.963432 | + | 0.267951i | ||||||||
−1252.41 | − | 4546.30i | −0.135696 | − | 0.492582i | |||||
− | 9250.77i | − | 0.998896i | |||||||
−3062.03 | − | 2557.18i | −0.329516 | − | 0.275187i | |||||
−7670.67 | + | 7670.67i | −0.822674 | + | 0.822674i | −0.986491 | − | 0.163817i | ||
0.163817 | + | 0.986491i | ||||||||
−14128.6 | + | 2559.42i | −1.51017 | + | 0.273569i | |||||
1225.32 | + | 1225.32i | 0.130529 | + | 0.130529i | |||||
1182.09 | − | 106.205i | 0.125502 | − | 0.0112756i | |||||
−25113.5 | −2.65733 | |||||||||
−6527.70 | − | 10948.8i | −0.688404 | − | 1.15464i | |||||
−11515.2 | −1.21032 | −0.605162 | − | 0.796102i | ||||||
−0.605162 | + | 0.796102i | ||||||||
7671.99 | − | 689.286i | 0.803691 | − | 0.0722073i | |||||
−8055.12 | − | 8055.12i | −0.841021 | − | 0.841021i | |||||
−5671.44 | + | 1027.39i | −0.590182 | + | 0.106912i | |||||
15468.4 | − | 15468.4i | 1.60434 | − | 1.60434i | |||||
6550.66 | + | 5470.61i | 0.677176 | + | 0.565526i | |||||
− | 2617.46i | − | 0.269689i | |||||||
−2498.26 | − | 9068.79i | −0.256561 | − | 0.931326i | |||||
4829.89i | 0.494383i | 0.968967 | + | 0.247191i | ||||||
−0.968967 | + | 0.247191i | ||||||||
4036.78 | − | 4833.74i | 0.411848 | − | 0.493157i | |||||
3120.28 | − | 3120.28i | 0.317303 | − | 0.317303i | |||||
−2086.72 | − | 1446.65i | −0.211508 | − | 0.146631i | |||||
8265.79 | + | 8265.79i | 0.835090 | + | 0.835090i | 0.988208 | − | 0.153118i | ||
−0.153118 | + | 0.988208i | ||||||||
1547.62 | + | 17225.5i | 0.155848 | + | 1.73464i | |||||
−5043.86 | −0.506281 | −0.253141 | − | 0.967430i | ||||||
−0.253141 | + | 0.967430i | ||||||||
860.346 | + | 391.435i | 0.0860788 | + | 0.0391636i | |||||
4970.57 | 0.495709 | |||||||||
−302.418 | − | 3366.02i | −0.0300628 | − | 0.334609i | |||||
12438.8 | + | 12438.8i | 1.23255 | + | 1.23255i | 0.962982 | + | 0.269564i | ||
0.269564 | + | 0.962982i | ||||||||
2427.81 | − | 3502.01i | 0.239798 | − | 0.345898i | |||||
−2673.31 | + | 2673.31i | −0.263203 | + | 0.263203i | |||||
2638.70 | − | 3159.64i | 0.258966 | − | 0.310093i | |||||
− | 9962.47i | − | 0.974621i | |||||||
−6401.26 | + | 11269.1i | −0.624241 | + | 1.09894i | |||||
4479.75i | 0.435474i | |||||||||
13886.8 | + | 11597.2i | 1.34566 | + | 1.12379i | |||||
−3082.20 | + | 3082.20i | −0.297729 | + | 0.297729i | |||||
3141.42 | + | 17341.4i | 0.302493 | + | 1.66984i | |||||
−5872.93 | − | 5872.93i | −0.563738 | − | 0.563738i | |||||
11947.3 | − | 1073.40i | 1.14322 | − | 0.102712i | |||||
13059.7 | 1.24575 | 0.622875 | − | 0.782321i | ||||||
0.622875 | + | 0.782321i | ||||||||
8364.14 | − | 4019.93i | 0.795352 | − | 0.382258i | |||||
3680.77 | 0.348916 | |||||||||
15694.5 | − | 1410.06i | 1.48312 | − | 0.133250i | |||||
6584.87 | + | 6584.87i | 0.620335 | + | 0.620335i | |||||
474.246 | + | 2617.96i | 0.0445385 | + | 0.245864i | |||||
703.292 | − | 703.292i | 0.0658450 | − | 0.0658450i | |||||
−11606.7 | − | 9693.04i | −1.08331 | − | 0.904702i | |||||
15549.3i | 1.44683i | 0.690414 | + | 0.723414i | ||||||
−0.690414 | + | 0.723414i | ||||||||
−18491.4 | − | 10503.8i | −1.71530 | − | 0.974354i | |||||
15305.3i | 1.41540i | |||||||||
−3310.33 | + | 3963.88i | −0.305195 | + | 0.365448i | |||||
−8628.34 | + | 8628.34i | −0.793058 | + | 0.793058i | −0.981990 | − | 0.188932i | ||
0.188932 | + | 0.981990i | ||||||||
12772.4 | − | 18423.5i | 1.17037 | − | 1.68821i | |||||
−924.059 | − | 924.059i | −0.0844169 | − | 0.0844169i | |||||
215.777 | + | 2401.68i | 0.0196524 | + | 0.218738i | |||||
−6964.03 | −0.632344 | |||||||||
−5810.98 | + | 2176.76i | −0.526049 | + | 0.197056i | |||||
5354.00 | 0.483219 | |||||||||
−909.413 | − | 10122.1i | −0.0818309 | − | 0.910806i | |||||
1732.42 | + | 1732.42i | 0.155418 | + | 0.155418i | 0.780533 | − | 0.625115i | ||
−0.625115 | + | 0.780533i | ||||||||
−8954.38 | − | 6207.74i | −0.800904 | − | 0.555237i | |||||
6714.44 | − | 6714.44i | 0.598761 | − | 0.598761i | |||||
1237.71 | − | 1482.06i | 0.110043 | − | 0.131768i | |||||
− | 16579.6i | − | 1.46968i | −0.678241 | − | 0.734839i | ||||
0.678241 | − | 0.734839i | ||||||||
−18148.7 | + | 4999.58i | −1.60398 | + | 0.441863i | |||||
4551.65i | 0.401081i | |||||||||
−3301.07 | − | 2756.80i | −0.290021 | − | 0.242203i | |||||
10678.6 | − | 10678.6i | 0.935410 | − | 0.935410i | |||||
20642.8 | − | 3739.47i | 1.80291 | − | 0.326599i | |||||
−7830.92 | − | 7830.92i | −0.681924 | − | 0.681924i | 0.278509 | − | 0.960434i | ||
−0.960434 | + | 0.278509i | ||||||||
−12778.8 | + | 1148.11i | −1.10952 | + | 0.0996844i | |||||
−16645.5 | −1.44100 | |||||||||
−8017.86 | + | 8362.51i | −0.692076 | + | 0.721825i | |||||
−2667.24 | −0.229555 | |||||||||
−22799.0 | + | 2048.36i | −1.95646 | + | 0.175777i | |||||
8583.95 | + | 8583.95i | 0.734474 | + | 0.734474i | |||||
−8674.61 | + | 1571.42i | −0.740074 | + | 0.134065i | |||||
4930.44 | − | 4930.44i | 0.419420 | − | 0.419420i | |||||
−12480.5 | − | 10422.8i | −1.05861 | − | 0.884075i | |||||
− | 6193.30i | − | 0.523807i | |||||||
−2293.47 | + | 631.803i | −0.193414 | + | 0.0532815i | |||||
− | 3400.02i | − | 0.285907i | −0.989729 | − | 0.142953i | ||||
0.989729 | − | 0.142953i | ||||||||
894.749 | − | 1071.40i | 0.0750232 | − | 0.0898348i | |||||
−2019.50 | + | 2019.50i | −0.168847 | + | 0.168847i | −0.786472 | − | 0.617626i | ||
0.617626 | + | 0.786472i | ||||||||
6114.05 | + | 4238.64i | 0.509720 | + | 0.353370i | |||||
11152.0 | + | 11152.0i | 0.927075 | + | 0.927075i | |||||
103.847 | + | 1155.85i | 0.00860822 | + | 0.0958124i | |||||
8579.28 | 0.709144 | |||||||||
14719.8 | − | 5513.95i | 1.21325 | − | 0.454477i | |||||
9851.23 | 0.809668 | |||||||||
414.910 | + | 4618.09i | 0.0340048 | + | 0.378485i | |||||
13533.7 | + | 13533.7i | 1.10605 | + | 1.10605i | |||||
6069.15 | − | 8754.47i | 0.494607 | − | 0.713448i | |||||
−4063.56 | + | 4063.56i | −0.330229 | + | 0.330229i | |||||
−3702.47 | + | 4433.43i | −0.300040 | + | 0.359276i | |||||
− | 740.691i | − | 0.0598558i | |||||||
2987.69 | + | 1697.12i | 0.240762 | + | 0.136762i | |||||
− | 24207.7i | − | 1.94532i | |||||||
14.6743 | + | 12.2548i | 0.00117594 | + | 0.000982052i | |||||
−6185.39 | + | 6185.39i | −0.494293 | + | 0.494293i | |||||
−469.038 | − | 2589.21i | −0.0373781 | − | 0.206337i | |||||
−13432.6 | − | 13432.6i | −1.06749 | − | 1.06749i | −0.997551 | − | 0.0699388i | ||
−0.0699388 | − | 0.997551i | ||||||||
7983.54 | − | 717.278i | 0.632699 | − | 0.0568445i | |||||
1333.30 | 0.105373 | |||||||||
14436.6 | − | 6938.45i | 1.13780 | − | 0.546845i | |||||
−8888.86 | −0.698637 | |||||||||
8689.75 | − | 780.726i | 0.681112 | − | 0.0611941i | |||||
−5376.46 | − | 5376.46i | −0.420257 | − | 0.420257i | 0.465035 | − | 0.885292i | ||
−0.885292 | + | 0.465035i | ||||||||
3581.44 | + | 19770.4i | 0.279181 | + | 1.54115i | |||||
−22207.5 | + | 22207.5i | −1.72640 | + | 1.72640i | |||||
−5590.64 | − | 4668.88i | −0.433429 | − | 0.361967i | |||||
789.894i | 0.0610719i | |||||||||
4180.33 | − | 7359.24i | 0.322331 | − | 0.567446i | |||||
20488.7i | 1.57553i | |||||||||
−3912.13 | + | 4684.49i | −0.300019 | + | 0.359251i | |||||
8370.55 | − | 8370.55i | 0.640198 | − | 0.640198i | |||||
−7000.34 | + | 10097.7i | −0.533958 | + | 0.770210i | |||||
−2076.28 | − | 2076.28i | −0.157944 | − | 0.157944i | 0.623711 | − | 0.781655i | ||
−0.781655 | + | 0.623711i | ||||||||
820.027 | + | 9127.18i | 0.0622124 | + | 0.692445i | |||||
2259.90 | 0.170990 | |||||||||
9565.61 | + | 4352.10i | 0.721823 | + | 0.328410i | |||||
−21732.1 | −1.63553 | |||||||||
−1202.28 | − | 13381.8i | −0.0902405 | − | 1.00441i | |||||
−16643.1 | − | 16643.1i | −1.24587 | − | 1.24587i | −0.957528 | − | 0.288339i | ||
−0.288339 | − | 0.957528i | ||||||||
11276.8 | + | 7817.81i | 0.841915 | + | 0.583669i | |||||
3360.07 | − | 3360.07i | 0.250193 | − | 0.250193i | |||||
−1651.47 | + | 1977.51i | −0.122644 | + | 0.146857i | |||||
− | 12811.8i | − | 0.948934i | |||||||
−1292.35 | − | 4691.28i | −0.0954679 | − | 0.346552i | |||||
5659.60i | 0.416982i | 0.978024 | + | 0.208491i | ||||||
−0.978024 | + | 0.208491i | ||||||||
5952.43 | + | 4971.02i | 0.437403 | + | 0.365286i | |||||
4872.67 | − | 4872.67i | 0.357119 | − | 0.357119i | −0.505631 | − | 0.862750i | ||
0.862750 | + | 0.505631i | ||||||||
−3964.89 | + | 718.244i | −0.289825 | + | 0.0525023i | |||||
21587.1 | + | 21587.1i | 1.57385 | + | 1.57385i | |||||
25285.2 | − | 2271.73i | 1.83865 | − | 0.165192i | |||||
−3921.95 | −0.284446 | |||||||||
8761.45 | + | 14695.4i | 0.633786 | + | 1.06303i | |||||
10652.2 | 0.768556 | 0.384278 | − | 0.923217i | ||||||
0.384278 | + | 0.923217i | ||||||||
−8216.10 | + | 738.171i | −0.591254 | + | 0.0531209i | |||||
−17857.2 | − | 17857.2i | −1.28173 | − | 1.28173i | |||||
−766.784 | + | 138.904i | −0.0548948 | + | 0.00994426i | |||||
8138.01 | − | 8138.01i | 0.581104 | − | 0.581104i | |||||
2544.65 | + | 2125.10i | 0.181235 | + | 0.151354i | |||||
7853.69i | 0.557919i | |||||||||
4017.89 | + | 14585.1i | 0.284694 | + | 1.03345i | |||||
3513.14i | 0.248291i | |||||||||
3674.61 | − | 4400.07i | 0.259039 | − | 0.310180i | |||||
9903.95 | − | 9903.95i | 0.696388 | − | 0.696388i | −0.267242 | − | 0.963630i | ||
0.963630 | + | 0.267242i | ||||||||
−14147.1 | − | 9807.69i | −0.992208 | − | 0.687861i | |||||
−3666.82 | − | 3666.82i | −0.256517 | − | 0.256517i | |||||
−956.129 | − | 10642.0i | −0.0667173 | − | 0.742587i | |||||
26611.5 | 1.85220 | |||||||||
−6120.09 | + | 13451.5i | −0.424889 | + | 0.933875i | |||||
−3528.04 | −0.244316 | −0.122158 | − | 0.992511i | ||||||
−0.122158 | + | 0.992511i | ||||||||
−398.832 | − | 4439.14i | −0.0275493 | − | 0.306633i | |||||
−10274.0 | − | 10274.0i | −0.707887 | − | 0.707887i | |||||
−14726.5 | + | 21242.2i | −1.01211 | + | 1.45993i | |||||
−7536.93 | + | 7536.93i | −0.516693 | + | 0.516693i | |||||
−1390.72 | + | 1665.29i | −0.0951018 | + | 0.113877i | |||||
19024.9i | 1.29772i | 0.760907 | + | 0.648861i | ||||||
−0.760907 | + | 0.648861i | ||||||||
7079.74 | − | 12463.5i | 0.481715 | − | 0.848034i | |||||
1065.92i | 0.0723460i | 0.999346 | + | 0.0361730i | ||||||
−0.999346 | + | 0.0361730i | ||||||||
−7662.72 | − | 6399.32i | −0.518786 | − | 0.433250i | |||||
3588.11 | − | 3588.11i | 0.242320 | − | 0.242320i | |||||
−4013.32 | − | 22154.5i | −0.270364 | − | 1.49248i | |||||
−1551.02 | − | 1551.02i | −0.104228 | − | 0.104228i | |||||
−15111.1 | + | 1357.65i | −1.01295 | + | 0.0910079i | |||||
12909.7 | 0.863242 | 0.431621 | − | 0.902055i | ||||||
0.431621 | + | 0.902055i | ||||||||
−9135.80 | − | 3204.75i | −0.609384 | − | 0.213766i | |||||
2858.00 | 0.190167 | |||||||||
17462.5 | − | 1568.91i | 1.15908 | − | 0.104137i | |||||
−2487.25 | − | 2487.25i | −0.164687 | − | 0.164687i | |||||
−4216.40 | − | 23275.6i | −0.278494 | − | 1.53735i | |||||
−8763.41 | + | 8763.41i | −0.577408 | + | 0.577408i | −0.934188 | − | 0.356781i | ||
0.356781 | + | 0.934188i | ||||||||
709.859 | + | 592.820i | 0.0466573 | + | 0.0389646i | |||||
18482.1i | 1.21182i | |||||||||
15477.7 | + | 8791.93i | 1.01236 | + | 0.575060i | |||||
− | 18921.2i | − | 1.23459i | −0.786733 | − | 0.617293i | ||||
0.786733 | − | 0.617293i | ||||||||
−25937.6 | + | 31058.4i | −1.68829 | + | 2.02161i | |||||
−15116.6 | + | 15116.6i | −0.981565 | + | 0.981565i | −0.999833 | − | 0.0182677i | ||
0.0182677 | + | 0.999833i | ||||||||
2914.73 | − | 4204.36i | 0.188804 | − | 0.272340i | |||||
−1696.97 | − | 1696.97i | −0.109657 | − | 0.109657i | |||||
−220.553 | − | 2454.83i | −0.0142176 | − | 0.158247i | |||||
−6541.15 | −0.420651 | |||||||||
−2781.62 | − | 7425.67i | −0.178452 | − | 0.476386i | |||||
−1204.57 | −0.0770926 | |||||||||
889.648 | + | 9902.09i | 0.0568011 | + | 0.632216i | |||||
9288.42 | + | 9288.42i | 0.591617 | + | 0.591617i | |||||
−8426.75 | − | 5841.95i | −0.535452 | − | 0.371209i | |||||
14447.7 | − | 14447.7i | 0.915845 | − | 0.915845i | |||||
9948.11 | − | 11912.1i | 0.629115 | − | 0.753319i | |||||
− | 9602.80i | − | 0.605834i | −0.953017 | − | 0.302917i | ||||
0.953017 | − | 0.302917i | ||||||||
17952.6 | − | 4945.58i | 1.12993 | − | 0.311273i | |||||
− | 17813.1i | − | 1.11849i | |||||||
−14502.8 | − | 12111.7i | −0.908487 | − | 0.758699i | |||||
−12229.9 | + | 12229.9i | −0.764297 | + | 0.764297i | |||||
−15207.9 | + | 2754.93i | −0.948166 | + | 0.171761i | |||||
3120.34 | + | 3120.34i | 0.194085 | + | 0.194085i | |||||
−1314.63 | + | 118.113i | −0.0815781 | + | 0.00732935i | |||||
−7186.12 | −0.444880 | |||||||||
1504.44 | − | 9432.08i | 0.0929194 | − | 0.582556i | |||||
4450.84 | 0.274256 | 0.137128 | − | 0.990553i | ||||||
0.137128 | + | 0.990553i | ||||||||
2459.03 | − | 220.931i | 0.151169 | − | 0.0135817i | |||||
6491.27 | + | 6491.27i | 0.398119 | + | 0.398119i | 0.877569 | − | 0.479450i | ||
−0.479450 | + | 0.877569i | ||||||||
9431.15 | − | 1708.46i | 0.577080 | − | 0.104539i | |||||
5139.30 | − | 5139.30i | 0.313736 | − | 0.313736i | |||||
10274.0 | + | 8580.05i | 0.625734 | + | 0.522566i | |||||
− | 5546.17i | − | 0.337005i | −0.985701 | − | 0.168503i | ||||
0.985701 | − | 0.168503i | ||||||||
−11226.0 | + | 3092.52i | −0.680551 | + | 0.187478i | |||||
− | 18098.3i | − | 1.09464i | |||||||
−2355.31 | + | 2820.31i | −0.142127 | + | 0.170187i | |||||
−13267.3 | + | 13267.3i | −0.798750 | + | 0.798750i | |||||
12946.0 | + | 8974.98i | 0.777613 | + | 0.539091i | |||||
6327.58 | + | 6327.58i | 0.379200 | + | 0.379200i | 0.870813 | − | 0.491614i | ||
−0.491614 | + | 0.870813i | ||||||||
−2651.34 | − | 29510.3i | −0.158525 | − | 1.76444i | |||||
−6133.49 | −0.365886 | |||||||||
−8093.88 | − | 21607.0i | −0.481727 | − | 1.28599i | |||||
22341.5 | 1.32667 | |||||||||
1390.50 | + | 15476.7i | 0.0823820 | + | 0.916940i | |||||
15135.2 | + | 15135.2i | 0.894663 | + | 0.894663i | 0.994958 | − | 0.100294i | ||
−0.100294 | + | 0.994958i | ||||||||
−7383.28 | + | 10650.0i | −0.435445 | + | 0.628110i | |||||
−23460.1 | + | 23460.1i | −1.38047 | + | 1.38047i | −0.536694 | + | 0.843777i | ||
−0.843777 | + | 0.536694i | ||||||||
4667.12 | − | 5588.53i | 0.274007 | − | 0.328103i | |||||
10963.2i | 0.642195i | |||||||||
−9095.03 | − | 5166.32i | −0.531560 | − | 0.301946i | |||||
8782.30i | 0.512125i | |||||||||
16751.3 | + | 13989.4i | 0.974624 | + | 0.813932i | |||||
−502.550 | + | 502.550i | −0.0291736 | + | 0.0291736i | |||||
−1742.08 | − | 9616.73i | −0.100903 | − | 0.557009i | |||||
−2306.29 | − | 2306.29i | −0.133283 | − | 0.133283i | |||||
−2821.45 | + | 253.492i | −0.162690 | + | 0.0146168i | |||||
29697.4 | 1.70858 | |||||||||
−11595.4 | + | 33055.2i | −0.665630 | + | 1.89752i | |||||
30638.5 | 1.75487 | 0.877436 | − | 0.479694i | ||||||
0.877436 | + | 0.479694i | ||||||||
−208.737 | + | 18.7539i | −0.0119292 | + | 0.00107177i | |||||
−2873.96 | − | 2873.96i | −0.163879 | − | 0.163879i | |||||
−2770.59 | − | 15294.4i | −0.157635 | − | 0.870184i | |||||
−12468.9 | + | 12468.9i | −0.707855 | + | 0.707855i | −0.966084 | − | 0.258229i | ||
0.258229 | + | 0.966084i | ||||||||
12157.4 | + | 10152.9i | 0.688645 | + | 0.575104i | |||||
3754.41i | 0.212196i | |||||||||
−6522.33 | + | 11482.2i | −0.367823 | + | 0.647533i | |||||
− | 23453.8i | − | 1.31975i | |||||||
5554.45 | − | 6651.05i | 0.311864 | − | 0.373434i | |||||
13838.5 | − | 13838.5i | 0.775280 | − | 0.775280i | −0.203744 | − | 0.979024i | ||
0.979024 | + | 0.203744i | ||||||||
−8145.99 | + | 11750.2i | −0.455365 | + | 0.656843i | |||||
−11713.1 | − | 11713.1i | −0.653333 | − | 0.653333i | |||||
416.914 | + | 4640.40i | 0.0232039 | + | 0.258267i | |||||
−17306.6 | −0.961116 | |||||||||
−3757.58 | + | 8258.89i | −0.208221 | + | 0.457656i | |||||
3961.95 | 0.219068 | |||||||||
624.398 | + | 6949.77i | 0.0344499 | + | 0.383439i | |||||
−106.012 | − | 106.012i | −0.00583628 | − | 0.00583628i | 0.704183 | − | 0.710019i | ||
−0.710019 | + | 0.704183i | ||||||||
−5238.60 | − | 3631.73i | −0.287777 | − | 0.199505i | |||||
18588.2 | − | 18588.2i | 1.01891 | − | 1.01891i | |||||
−5391.37 | + | 6455.77i | −0.294890 | + | 0.353109i | |||||
− | 10129.8i | − | 0.552870i | |||||||
−689.863 | − | 2504.23i | −0.0375707 | − | 0.136383i | |||||
31900.4i | 1.73359i | |||||||||
20302.6 | + | 16955.2i | 1.10095 | + | 0.919434i | |||||
−6567.17 | + | 6567.17i | −0.355355 | + | 0.355355i | |||||
15972.4 | − | 2893.43i | 0.862431 | − | 0.156231i | |||||
7839.35 | + | 7839.35i | 0.422380 | + | 0.422380i | 0.886022 | − | 0.463643i | ||
−0.463643 | + | 0.886022i | ||||||||
−2239.41 | + | 201.199i | −0.120400 | + | 0.0108173i | |||||
−12350.0 | −0.662574 | |||||||||
3967.64 | − | 15684.1i | 0.212409 | − | 0.839653i | |||||
−11312.7 | −0.604341 | |||||||||
−6245.17 | + | 561.095i | −0.332918 | + | 0.0299109i | |||||
−12149.1 | − | 12149.1i | −0.646273 | − | 0.646273i | |||||
35045.5 | − | 6348.55i | 1.86030 | − | 0.336996i | |||||
2728.30 | − | 2728.30i | 0.144518 | − | 0.144518i | −0.631146 | − | 0.775664i | ||
0.775664 | + | 0.631146i | ||||||||
3079.19 | + | 2571.50i | 0.162760 | + | 0.135925i | |||||
− | 27499.9i | − | 1.45053i | |||||||
1578.90 | + | 5731.48i | 0.0831066 | + | 0.301680i | |||||
− | 4665.84i | − | 0.245073i | |||||||
31044.3 | − | 37173.3i | 1.62718 | − | 1.94843i | |||||
2349.01 | − | 2349.01i | 0.122864 | − | 0.122864i | |||||
−20476.0 | − | 14195.3i | −1.06875 | − | 0.740925i | |||||
−23309.5 | − | 23309.5i | −1.21410 | − | 1.21410i | |||||
527.011 | + | 5865.82i | 0.0273926 | + | 0.304889i | |||||
−32717.8 | −1.69704 | −0.848519 | − | 0.529166i | ||||||
−0.848519 | + | 0.529166i | ||||||||
−12838.9 | − | 5841.37i | −0.664553 | − | 0.302354i | |||||
−45824.0 | −2.36696 | |||||||||
1012.01 | + | 11264.1i | 0.0521652 | + | 0.580616i | |||||
−30620.3 | − | 30620.3i | −1.57508 | − | 1.57508i | |||||
781.844 | − | 1127.77i | 0.0401340 | − | 0.0578914i | |||||
−851.111 | + | 851.111i | −0.0435993 | + | 0.0435993i | |||||
4686.62 | − | 5611.88i | 0.239582 | − | 0.286882i | |||||
25847.2i | 1.31859i | 0.751883 | + | 0.659297i | ||||||
−0.751883 | + | 0.659297i | ||||||||
4435.26 | − | 7808.03i | 0.225799 | − | 0.397507i | |||||
27662.0i | 1.40537i | |||||||||
−9573.13 | − | 7994.75i | −0.485366 | − | 0.405341i | |||||
8870.50 | − | 8870.50i | 0.448820 | − | 0.448820i | |||||
10417.3 | + | 57506.1i | 0.526004 | + | 2.90367i | |||||
10131.9 | + | 10131.9i | 0.510547 | + | 0.510547i | 0.914694 | − | 0.404147i | ||
−0.404147 | + | 0.914694i | ||||||||
−12702.8 | + | 1141.28i | −0.638787 | + | 0.0573915i | |||||
14192.1 | 0.712223 | |||||||||
−3773.48 | − | 7851.36i | −0.188984 | − | 0.393213i | |||||
−4798.27 | −0.239819 | |||||||||
−33937.7 | + | 3049.11i | −1.69277 | + | 0.152086i | |||||
19163.7 | + | 19163.7i | 0.953921 | + | 0.953921i | 0.998984 | − | 0.0450633i | ||
−0.0450633 | + | 0.998984i | ||||||||
−2171.76 | − | 11988.7i | −0.107886 | − | 0.595558i | |||||
4685.72 | − | 4685.72i | 0.232300 | − | 0.232300i | |||||
−13433.9 | − | 11219.0i | −0.664656 | − | 0.555070i | |||||
− | 23322.1i | − | 1.15155i | −0.817607 | − | 0.575777i | ||||
0.817607 | − | 0.575777i | ||||||||
14827.5 | + | 8422.59i | 0.730650 | + | 0.415037i | |||||
− | 21309.8i | − | 1.04796i | |||||||
22208.1 | − | 26592.5i | 1.08994 | − | 1.30512i | |||||
−10922.8 | + | 10922.8i | −0.534999 | + | 0.534999i | |||||
−12743.6 | + | 18382.1i | −0.622933 | + | 0.898552i | |||||
1977.03 | + | 1977.03i | 0.0964473 | + | 0.0964473i | |||||
2679.37 | + | 29822.3i | 0.130449 | + | 1.45194i | |||||
25994.0 | 1.26303 | 0.631515 | − | 0.775364i | ||||||
0.631515 | + | 0.775364i | ||||||||
13225.4 | − | 4954.16i | 0.641330 | − | 0.240239i | |||||
−5306.32 | −0.256804 | |||||||||
59.5842 | + | 663.192i | 0.00287789 | + | 0.0320319i | |||||
13125.5 | + | 13125.5i | 0.632698 | + | 0.632698i | |||||
8162.97 | + | 5659.09i | 0.392704 | + | 0.272247i | |||||
22145.0 | − | 22145.0i | 1.06324 | − | 1.06324i | 0.0653808 | − | 0.997860i | ||
0.997860 | − | 0.0653808i | ||||||||
−9031.52 | + | 10814.6i | −0.432770 | + | 0.518210i | |||||
11819.0i | 0.565222i | |||||||||
7695.22 | − | 2119.87i | 0.367283 | − | 0.101179i | |||||
16497.5i | 0.785853i | 0.919570 | + | 0.392926i | ||||||
−0.919570 | + | 0.392926i | ||||||||
−44250.1 | − | 36954.4i | −2.10369 | − | 1.75684i | |||||
23725.9 | − | 23725.9i | 1.12573 | − | 1.12573i | |||||
30918.0 | − | 5600.84i | 1.46410 | − | 0.265224i | |||||
13789.7 | + | 13789.7i | 0.651723 | + | 0.651723i | |||||
−8577.66 | + | 770.656i | −0.404600 | + | 0.0363511i | |||||
−9130.02 | −0.429812 | |||||||||
31762.5 | + | 2181.27i | 1.49236 | + | 0.102487i | |||||
−24867.3 | −1.16611 | −0.583055 | − | 0.812433i | ||||||
−0.583055 | + | 0.812433i | ||||||||
−14616.5 | + | 1313.21i | −0.684082 | + | 0.0614610i | |||||
44481.2 | + | 44481.2i | 2.07776 | + | 2.07776i | |||||
−25575.9 | + | 4633.11i | −1.19235 | + | 0.215996i | |||||
1881.72 | − | 1881.72i | 0.0875559 | − | 0.0875559i | −0.661972 | − | 0.749528i | ||
0.749528 | + | 0.661972i | ||||||||
10284.9 | + | 8589.14i | 0.477625 | + | 0.398876i | |||||
− | 7902.00i | − | 0.366256i | |||||||
3289.68 | − | 906.240i | 0.152181 | − | 0.0419228i | |||||
44684.8i | 2.06314i | |||||||||
−4955.49 | + | 5933.84i | −0.228359 | + | 0.273443i | |||||
13634.4 | − | 13634.4i | 0.627089 | − | 0.627089i | |||||
5372.62 | + | 3724.64i | 0.246629 | + | 0.170979i | |||||
4804.89 | + | 4804.89i | 0.220144 | + | 0.220144i | |||||
1077.72 | + | 11995.4i | 0.0492828 | + | 0.548535i | |||||
−736.525 | −0.0336159 | |||||||||
−16591.7 | + | 6215.16i | −0.755815 | + | 0.283125i | |||||
8453.54 | 0.384356 | |||||||||
−1829.47 | − | 20362.7i | −0.0830219 | − | 0.924062i | |||||
−7790.94 | − | 7790.94i | −0.352881 | − | 0.352881i | 0.508300 | − | 0.861180i | ||
−0.861180 | + | 0.508300i | ||||||||
15604.9 | − | 22509.3i | 0.705457 | − | 1.01759i | |||||
2255.08 | − | 2255.08i | 0.101753 | − | 0.101753i | |||||
−9840.66 | + | 11783.5i | −0.443184 | + | 0.530680i | |||||
17937.2i | 0.806286i | |||||||||
−20774.1 | − | 11800.5i | −0.932041 | − | 0.529435i | |||||
− | 14981.4i | − | 0.670877i | |||||||
2064.56 | + | 1724.17i | 0.0922778 | + | 0.0770634i | |||||
9009.98 | − | 9009.98i | 0.401951 | − | 0.401951i | |||||
1955.48 | + | 10794.7i | 0.0870730 | + | 0.480665i | |||||
−4209.84 | − | 4209.84i | −0.187102 | − | 0.187102i | 0.607340 | − | 0.794442i | ||
−0.794442 | + | 0.607340i | ||||||||
−29156.5 | + | 2619.55i | −1.29340 | + | 0.116205i | |||||
−19525.8 | −0.864549 | |||||||||
−6390.71 | − | 13296.9i | −0.282432 | − | 0.587648i | |||||
8779.50 | 0.387276 | |||||||||
21428.8 | − | 1925.26i | 0.943488 | − | 0.0847672i | |||||
−14938.3 | − | 14938.3i | −0.656490 | − | 0.656490i | |||||
−1683.15 | − | 9291.39i | −0.0738308 | − | 0.407565i | |||||
−5587.51 | + | 5587.51i | −0.244639 | + | 0.244639i | |||||
−3355.25 | − | 2802.05i | −0.146630 | − | 0.122454i | |||||
− | 52.5393i | − | 0.00229178i | |||||||
−7712.73 | + | 13577.8i | −0.335808 | + | 0.591172i | |||||
27554.3i | 1.19747i | 0.800946 | + | 0.598737i | ||||||
−0.800946 | + | 0.598737i | ||||||||
6153.46 | − | 7368.32i | 0.266927 | − | 0.319625i | |||||
3406.54 | − | 3406.54i | 0.147497 | − | 0.147497i | −0.629502 | − | 0.776999i | ||
0.776999 | + | 0.629502i | ||||||||
1675.92 | − | 2417.43i | 0.0724300 | − | 0.104477i | |||||
−15576.1 | − | 15576.1i | −0.671926 | − | 0.671926i | |||||
−1846.69 | − | 20554.3i | −0.0795166 | − | 0.885047i | |||||
−12987.1 | −0.558184 | |||||||||
−40065.4 | − | 18228.7i | −1.71884 | − | 0.782026i | |||||
−7582.59 | −0.324701 | |||||||||
−1260.83 | − | 14033.5i | −0.0538924 | − | 0.599841i | |||||
−9377.16 | − | 9377.16i | −0.400079 | − | 0.400079i | |||||
15633.1 | + | 10837.8i | 0.665770 | + | 0.461554i | |||||
−9839.14 | + | 9839.14i | −0.418256 | + | 0.418256i | −0.884602 | − | 0.466346i | ||
0.466346 | + | 0.884602i | ||||||||
35392.7 | − | 42380.1i | 1.50178 | − | 1.79827i | |||||
− | 36653.5i | − | 1.55244i | −0.630461 | − | 0.776221i | ||||
0.630461 | − | 0.776221i | ||||||||
11061.0 | + | 40151.9i | 0.467632 | + | 1.69752i | |||||
20016.5i | 0.844711i | |||||||||
30957.5 | + | 25853.3i | 1.30405 | + | 1.08905i | |||||
−22223.2 | + | 22223.2i | −0.934431 | + | 0.934431i | −0.997979 | − | 0.0635475i | ||
0.0635475 | + | 0.997979i | ||||||||
−12658.4 | + | 2293.09i | −0.531294 | + | 0.0962446i | |||||
14715.5 | + | 14715.5i | 0.616516 | + | 0.616516i | 0.944636 | − | 0.328120i | ||
−0.328120 | + | 0.944636i | ||||||||
8588.98 | − | 771.672i | 0.359190 | − | 0.0322713i | |||||
16772.2 | 0.700145 | |||||||||
−7912.13 | − | 2001.55i | −0.329692 | − | 0.0834031i | |||||
24495.8 | 1.01888 | |||||||||
33630.0 | − | 3021.47i | 1.39630 | − | 0.125450i | |||||
5697.46 | + | 5697.46i | 0.236130 | + | 0.236130i | |||||
13303.3 | − | 2409.91i | 0.550364 | − | 0.0996991i | |||||
3419.07 | − | 3419.07i | 0.141195 | − | 0.141195i | |||||
10541.1 | + | 8803.12i | 0.434530 | + | 0.362886i | |||||
− | 11010.0i | − | 0.453050i | −0.974005 | − | 0.226525i | ||||
0.974005 | − | 0.226525i | ||||||||
−7670.13 | − | 27842.8i | −0.315053 | − | 1.14365i | |||||
− | 24170.9i | − | 0.991057i | |||||||
−20444.5 | + | 24480.8i | −0.836773 | + | 1.00197i | |||||
−26108.1 | + | 26108.1i | −1.06668 | + | 1.06668i | |||||
−15067.2 | − | 10445.5i | −0.614496 | − | 0.426007i | |||||
9061.20 | + | 9061.20i | 0.368893 | + | 0.368893i | |||||
−1866.32 | − | 20772.8i | −0.0758458 | − | 0.844190i | |||||
8279.85 | 0.335890 | |||||||||
−6587.61 | + | 14479.1i | −0.266768 | + | 0.586338i | |||||
7080.22 | 0.286210 | |||||||||
1825.21 | + | 20315.2i | 0.0736520 | + | 0.819772i | |||||
−7857.37 | − | 7857.37i | −0.316507 | − | 0.316507i | |||||
−7618.74 | + | 10989.7i | −0.306354 | + | 0.441901i | |||||
12809.9 | − | 12809.9i | 0.514190 | − | 0.514190i | −0.401617 | − | 0.915808i | ||
0.915808 | + | 0.401617i | ||||||||
−42422.7 | + | 50798.0i | −1.69985 | + | 2.03545i | |||||
− | 11787.6i | − | 0.471493i | |||||||
1255.09 | − | 2209.52i | 0.0501147 | − | 0.0882243i | |||||
− | 38510.8i | − | 1.53501i | −0.641043 | − | 0.767505i | ||||
0.641043 | − | 0.767505i | ||||||||
8499.18 | + | 7097.87i | 0.338178 | + | 0.282421i | |||||
23234.6 | − | 23234.6i | 0.922882 | − | 0.922882i | −0.0743503 | − | 0.997232i | ||
0.997232 | + | 0.0743503i | ||||||||
−1333.41 | − | 7360.74i | −0.0528707 | − | 0.291860i | |||||
−49331.9 | − | 49331.9i | −1.95264 | − | 1.95264i | |||||
−13522.4 | + | 1214.92i | −0.534311 | + | 0.0480049i | |||||
−22079.5 | −0.870911 | −0.435456 | − | 0.900210i | ||||||
−0.435456 | + | 0.900210i | ||||||||
2988.22 | − | 8518.55i | 0.117664 | − | 0.335425i | |||||
5255.26 | 0.206571 | |||||||||
−17585.1 | + | 1579.93i | −0.690031 | + | 0.0619955i | |||||
16029.8 | + | 16029.8i | 0.627912 | + | 0.627912i | |||||
3442.24 | + | 19002.0i | 0.134605 | + | 0.743054i | |||||
−18387.4 | + | 18387.4i | −0.717779 | + | 0.717779i | |||||
1643.69 | + | 1372.68i | 0.0640531 | + | 0.0534923i | |||||
2420.58i | 0.0941656i | |||||||||
−26516.0 | − | 15062.1i | −1.02975 | − | 0.584939i | |||||
− | 5039.15i | − | 0.195360i | |||||||
4666.26 | − | 5587.51i | 0.180593 | − | 0.216247i | |||||
−23976.7 | + | 23976.7i | −0.926356 | + | 0.926356i | |||||
23686.5 | − | 34166.7i | 0.913576 | − | 1.31779i | |||||
4082.13 | + | 4082.13i | 0.157176 | + | 0.157176i | 0.781314 | − | 0.624138i | ||
−0.624138 | + | 0.781314i | ||||||||
−1247.59 | − | 13886.2i | −0.0479547 | − | 0.533753i | |||||
−15753.9 | −0.604510 | |||||||||
4678.80 | + | 12490.3i | 0.179230 | + | 0.478463i | |||||
7132.59 | 0.272762 | 0.136381 | − | 0.990656i | ||||||
0.136381 | + | 0.990656i | ||||||||
2341.36 | + | 26060.2i | 0.0893853 | + | 0.994889i | |||||
19170.0 | + | 19170.0i | 0.730601 | + | 0.730601i | 0.970739 | − | 0.240138i | ||
−0.240138 | + | 0.970739i | ||||||||
9273.21 | + | 6428.78i | 0.352819 | + | 0.244596i | |||||
−20762.9 | + | 20762.9i | −0.788628 | + | 0.788628i | |||||
19667.4 | − | 23550.3i | 0.745757 | − | 0.892989i | |||||
45045.7i | 1.70517i | 0.522589 | + | 0.852585i | ||||||
−0.522589 | + | 0.852585i | ||||||||
39153.7 | − | 10786.0i | 1.47963 | − | 0.407607i | |||||
− | 65287.3i | − | 2.46306i | |||||||
−3761.94 | − | 3141.69i | −0.141686 | − | 0.118325i | |||||
11497.8 | − | 11497.8i | 0.432314 | − | 0.432314i | |||||
−3303.17 | + | 598.374i | −0.123989 | + | 0.0224608i | |||||
8345.43 | + | 8345.43i | 0.312731 | + | 0.312731i | |||||
70746.8 | − | 6356.21i | 2.64667 | − | 0.237789i | |||||
20541.1 | 0.767167 | |||||||||
21160.2 | + | 29191.4i | 0.788964 | + | 1.08841i | |||||
5962.34 | 0.221936 | |||||||||
32439.2 | − | 2914.49i | 1.20547 | − | 0.108305i | |||||
−1012.55 | − | 1012.55i | −0.0375643 | − | 0.0375643i | |||||
−21438.2 | + | 3883.55i | −0.794006 | + | 0.143835i | |||||
15551.4 | − | 15551.4i | 0.575017 | − | 0.575017i | |||||
24730.6 | + | 20653.2i | 0.912905 | + | 0.762389i | |||||
27435.3i | 1.01106i | |||||||||
15716.9 | − | 4329.68i | 0.578247 | − | 0.159295i | |||||
1131.36i | 0.0415554i | |||||||||
−39660.6 | + | 47490.7i | −1.45435 | + | 1.74147i | |||||
−33658.2 | + | 33658.2i | −1.23220 | + | 1.23220i | −0.269079 | + | 0.963118i | ||
−0.963118 | + | 0.269079i | ||||||||
−19838.3 | − | 13753.2i | −0.725065 | − | 0.502661i | |||||
16306.5 | + | 16306.5i | 0.594997 | + | 0.594997i | |||||
662.476 | + | 7373.59i | 0.0241328 | + | 0.268607i | |||||
−42503.8 | −1.54579 | −0.772895 | − | 0.634534i | ||||||
−0.772895 | + | 0.634534i | ||||||||
9333.11 | + | 24915.2i | 0.338871 | + | 0.904632i | |||||
14606.7 | 0.529477 | |||||||||
−1222.44 | − | 13606.2i | −0.0442394 | − | 0.492399i | |||||
−34069.7 | − | 34069.7i | −1.23094 | − | 1.23094i | |||||
−10148.5 | + | 14638.7i | −0.366066 | + | 0.528033i | |||||
16371.3 | − | 16371.3i | 0.589562 | − | 0.589562i | |||||
−8000.34 | + | 9579.82i | −0.287637 | + | 0.344424i | |||||
8819.41i | 0.316568i | 0.987394 | + | 0.158284i | ||||||
−0.987394 | + | 0.158284i | ||||||||
6244.60 | + | 3547.17i | 0.223781 | + | 0.127116i | |||||
− | 2541.55i | − | 0.0909305i | |||||||
−25377.5 | − | 21193.3i | −0.906467 | − | 0.757012i | |||||
2423.92 | − | 2423.92i | 0.0864402 | − | 0.0864402i | |||||
−8719.53 | − | 48134.0i | −0.310445 | − | 1.71374i | |||||
−13307.1 | − | 13307.1i | −0.473012 | − | 0.473012i | |||||
14209.0 | − | 1276.60i | 0.504250 | − | 0.0453041i | |||||
61504.8 | 2.17916 | |||||||||
−2522.73 | − | 884.950i | −0.0892380 | − | 0.0313038i | |||||
−14155.6 | −0.499925 | −0.249963 | − | 0.968256i | ||||||
−0.249963 | + | 0.968256i | ||||||||
−14002.5 | + | 1258.05i | −0.493721 | + | 0.0443581i | |||||
−10469.6 | − | 10469.6i | −0.368558 | − | 0.368558i | |||||
1703.87 | + | 9405.80i | 0.0598844 | + | 0.330577i | |||||
−4789.43 | + | 4789.43i | −0.168059 | + | 0.168059i | |||||
−38189.4 | − | 31892.9i | −1.33790 | − | 1.11731i | |||||
− | 18440.6i | − | 0.644996i | |||||||
−5952.99 | + | 10479.9i | −0.207884 | + | 0.365969i | |||||
38518.7i | 1.34296i | 0.741023 | + | 0.671479i | ||||||
−0.741023 | + | 0.671479i | ||||||||
6854.32 | − | 8207.55i | 0.238594 | − | 0.285699i | |||||
19319.2 | − | 19319.2i | 0.671414 | − | 0.671414i | |||||
−6633.71 | + | 9568.82i | −0.230179 | + | 0.332022i | |||||
27998.2 | + | 27998.2i | 0.969942 | + | 0.969942i | 0.999561 | − | 0.0296196i | ||
−0.0296196 | + | 0.999561i | ||||||||
2521.49 | + | 28065.1i | 0.0872130 | + | 0.970711i | |||||
17349.0 | 0.599112 | |||||||||
15180.7 | − | 33366.0i | 0.523399 | − | 1.15039i | |||||
−8188.93 | −0.281890 | |||||||||
−1133.82 | − | 12619.8i | −0.0389680 | − | 0.433727i | |||||
−32839.5 | − | 32839.5i | −1.12687 | − | 1.12687i | −0.990684 | − | 0.136181i | ||
−0.136181 | − | 0.990684i | ||||||||
−42055.4 | − | 29155.5i | −1.44082 | − | 0.998867i | |||||
−7535.92 | + | 7535.92i | −0.257773 | + | 0.257773i | |||||
7902.71 | − | 9462.92i | 0.269892 | − | 0.323176i | |||||
51925.4i | 1.77055i | |||||||||
−13238.7 | − | 48057.1i | −0.450704 | − | 1.63607i | |||||
20600.1i | 0.700211i | 0.936710 | + | 0.350106i | ||||||
−0.936710 | + | 0.350106i | ||||||||
18031.0 | + | 15058.1i | 0.611922 | + | 0.511031i | |||||
−18317.5 | + | 18317.5i | −0.620670 | + | 0.620670i | |||||
−33384.9 | + | 6047.72i | −1.12944 | + | 0.204600i | |||||
2564.88 | + | 2564.88i | 0.0866360 | + | 0.0866360i | |||||
−36790.3 | + | 3305.41i | −1.24075 | + | 0.111475i | |||||
62528.2 | 2.10547 | |||||||||
−22545.0 | + | 13441.4i | −0.757955 | + | 0.451896i | |||||
−20390.2 | −0.684441 | |||||||||
−10369.0 | + | 931.599i | −0.347516 | + | 0.0312224i | |||||
−2653.56 | − | 2653.56i | −0.0887951 | − | 0.0887951i | |||||
−43855.8 | + | 7944.53i | −1.46525 | + | 0.265432i | |||||
15152.5 | − | 15152.5i | 0.505469 | − | 0.505469i | |||||
−20216.7 | − | 16883.5i | −0.673356 | − | 0.562336i | |||||
− | 38210.9i | − | 1.27071i | −0.772219 | − | 0.635356i | ||||
0.772219 | − | 0.635356i | ||||||||
−1998.59 | − | 7254.96i | −0.0663607 | − | 0.240892i | |||||
− | 36784.6i | − | 1.21950i | |||||||
−1803.23 | + | 2159.23i | −0.0596888 | + | 0.0714730i | |||||
37224.9 | − | 37224.9i | 1.23028 | − | 1.23028i | 0.266427 | − | 0.963855i | ||
0.963855 | − | 0.266427i | ||||||||
35150.3 | + | 24368.4i | 1.15992 | + | 0.804133i | |||||
27038.1 | + | 27038.1i | 0.890854 | + | 0.890854i | |||||
−3935.51 | − | 43803.6i | −0.129468 | − | 1.44102i | |||||
10097.7 | 0.331678 | |||||||||
54750.2 | + | 24909.9i | 1.79560 | + | 0.816953i | |||||
7985.95 | 0.261508 | 0.130754 | − | 0.991415i | ||||||
0.130754 | + | 0.991415i | ||||||||
−3873.76 | − | 43116.3i | −0.126656 | − | 1.40972i | |||||
−5870.28 | − | 5870.28i | −0.191639 | − | 0.191639i | |||||
8322.21 | − | 12004.4i | 0.271269 | − | 0.391292i | |||||
−31844.8 | + | 31844.8i | −1.03642 | + | 1.03642i | |||||
22122.9 | − | 26490.5i | 0.718910 | − | 0.860842i | |||||
10703.1i | 0.347279i | 0.984809 | + | 0.173639i | ||||||
−0.984809 | + | 0.173639i | ||||||||
−31317.8 | + | 55133.3i | −1.01461 | + | 1.78616i | |||||
22580.9i | 0.730442i | |||||||||
2837.03 | + | 2369.27i | 0.0916322 | + | 0.0765243i | |||||
30195.4 | − | 30195.4i | 0.973791 | − | 0.973791i | |||||
−1215.72 | − | 6711.10i | −0.0391471 | − | 0.216102i | |||||
−4824.23 | − | 4824.23i | −0.155108 | − | 0.155108i | |||||
19618.2 | − | 1762.59i | 0.629807 | − | 0.0565847i | |||||
−23945.4 | −0.767558 | −0.383779 | − | 0.923425i | ||||||
−0.383779 | + | 0.923425i | ||||||||
15819.0 | − | 7602.87i | 0.506306 | − | 0.243338i | |||||
−20009.0 | −0.639442 | |||||||||
−15082.6 | + | 1355.09i | −0.481280 | + | 0.0432404i | |||||
−6395.37 | − | 6395.37i | −0.203766 | − | 0.203766i | |||||
5123.78 | + | 28284.5i | 0.163005 | + | 0.899829i | |||||
−14292.5 | + | 14292.5i | −0.454010 | + | 0.454010i | −0.896683 | − | 0.442673i | ||
0.442673 | + | 0.896683i | ||||||||
−5318.83 | − | 4441.88i | −0.168702 | − | 0.140887i | |||||
− | 11515.6i | − | 0.364702i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 16.4.e.a.13.1 | yes | 10 | |
3.2 | odd | 2 | 144.4.k.a.109.5 | 10 | |||
4.3 | odd | 2 | 64.4.e.a.17.1 | 10 | |||
8.3 | odd | 2 | 128.4.e.a.33.5 | 10 | |||
8.5 | even | 2 | 128.4.e.b.33.1 | 10 | |||
12.11 | even | 2 | 576.4.k.a.145.4 | 10 | |||
16.3 | odd | 4 | 128.4.e.a.97.5 | 10 | |||
16.5 | even | 4 | inner | 16.4.e.a.5.1 | ✓ | 10 | |
16.11 | odd | 4 | 64.4.e.a.49.1 | 10 | |||
16.13 | even | 4 | 128.4.e.b.97.1 | 10 | |||
32.3 | odd | 8 | 1024.4.b.k.513.2 | 10 | |||
32.5 | even | 8 | 1024.4.a.n.1.2 | 10 | |||
32.11 | odd | 8 | 1024.4.a.m.1.2 | 10 | |||
32.13 | even | 8 | 1024.4.b.j.513.2 | 10 | |||
32.19 | odd | 8 | 1024.4.b.k.513.9 | 10 | |||
32.21 | even | 8 | 1024.4.a.n.1.9 | 10 | |||
32.27 | odd | 8 | 1024.4.a.m.1.9 | 10 | |||
32.29 | even | 8 | 1024.4.b.j.513.9 | 10 | |||
48.5 | odd | 4 | 144.4.k.a.37.5 | 10 | |||
48.11 | even | 4 | 576.4.k.a.433.4 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.4.e.a.5.1 | ✓ | 10 | 16.5 | even | 4 | inner | |
16.4.e.a.13.1 | yes | 10 | 1.1 | even | 1 | trivial | |
64.4.e.a.17.1 | 10 | 4.3 | odd | 2 | |||
64.4.e.a.49.1 | 10 | 16.11 | odd | 4 | |||
128.4.e.a.33.5 | 10 | 8.3 | odd | 2 | |||
128.4.e.a.97.5 | 10 | 16.3 | odd | 4 | |||
128.4.e.b.33.1 | 10 | 8.5 | even | 2 | |||
128.4.e.b.97.1 | 10 | 16.13 | even | 4 | |||
144.4.k.a.37.5 | 10 | 48.5 | odd | 4 | |||
144.4.k.a.109.5 | 10 | 3.2 | odd | 2 | |||
576.4.k.a.145.4 | 10 | 12.11 | even | 2 | |||
576.4.k.a.433.4 | 10 | 48.11 | even | 4 | |||
1024.4.a.m.1.2 | 10 | 32.11 | odd | 8 | |||
1024.4.a.m.1.9 | 10 | 32.27 | odd | 8 | |||
1024.4.a.n.1.2 | 10 | 32.5 | even | 8 | |||
1024.4.a.n.1.9 | 10 | 32.21 | even | 8 | |||
1024.4.b.j.513.2 | 10 | 32.13 | even | 8 | |||
1024.4.b.j.513.9 | 10 | 32.29 | even | 8 | |||
1024.4.b.k.513.2 | 10 | 32.3 | odd | 8 | |||
1024.4.b.k.513.9 | 10 | 32.19 | odd | 8 |