Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [40,3,Mod(13,40)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(40, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 2, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("40.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 40.i (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 | 13.9 | ||
Root | of defining polynomial | ||
Character | 40.13 | ||
Dual form | 40.3.i.a.37.9 |
-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 .
1.84813 | − | 0.764474i | 0.924064 | − | 0.382237i | |||||
0.130791 | − | 0.130791i | 0.0435971 | − | 0.0435971i | −0.684972 | − | 0.728569i | ||
0.728569 | + | 0.684972i | ||||||||
2.83116 | − | 2.82569i | 0.707790 | − | 0.706423i | |||||
−4.38731 | + | 2.39823i | −0.877463 | + | 0.479645i | |||||
0.141733 | − | 0.341706i | 0.0236221 | − | 0.0569510i | |||||
−1.59713 | + | 1.59713i | −0.228162 | + | 0.228162i | −0.811924 | − | 0.583763i | ||
0.583763 | + | 0.811924i | ||||||||
3.07218 | − | 7.38659i | 0.384023 | − | 0.923324i | |||||
8.96579i | 0.996199i | |||||||||
−6.27494 | + | 7.78621i | −0.627494 | + | 0.778621i | |||||
− | 11.9427i | − | 1.08570i | −0.839831 | − | 0.542849i | ||||
0.839831 | − | 0.542849i | ||||||||
0.000715350 | − | 0.739867i | 5.96125e−5 | − | 0.0616556i | |||||
−9.59714 | + | 9.59714i | −0.738241 | + | 0.738241i | −0.972238 | − | 0.233996i | ||
0.233996 | + | 0.972238i | ||||||||
−1.73074 | + | 4.17267i | −0.123624 | + | 0.298048i | |||||
−0.260155 | + | 0.887490i | −0.0173437 | + | 0.0591660i | |||||
0.0309396 | − | 16.0000i | 0.00193372 | − | 0.999998i | |||||
0.857288 | − | 0.857288i | 0.0504287 | − | 0.0504287i | −0.681443 | − | 0.731871i | ||
0.731871 | + | 0.681443i | ||||||||
6.85411 | + | 16.5699i | 0.380784 | + | 0.920552i | |||||
20.5611 | 1.08216 | 0.541082 | − | 0.840970i | ||||||
0.541082 | + | 0.840970i | ||||||||
−5.64454 | + | 19.1870i | −0.282227 | + | 0.959348i | |||||
0.417782i | 0.0198944i | |||||||||
−9.12986 | − | 22.0716i | −0.414993 | − | 1.00325i | |||||
−22.1560 | − | 22.1560i | −0.963306 | − | 0.963306i | 0.0360441 | − | 0.999350i | ||
−0.999350 | + | 0.0360441i | ||||||||
−0.564287 | − | 1.36792i | −0.0235119 | − | 0.0569965i | |||||
13.4970 | − | 21.0435i | 0.539881 | − | 0.841741i | |||||
−10.4000 | + | 25.0735i | −0.400000 | + | 0.964366i | |||||
2.34977 | + | 2.34977i | 0.0870285 | + | 0.0870285i | |||||
−0.00873536 | + | 9.03474i | −0.000311977 | + | 0.322669i | |||||
27.3404 | 0.942771 | 0.471385 | − | 0.881927i | ||||||
0.471385 | + | 0.881927i | ||||||||
0.197662 | + | 1.83908i | 0.00658872 | + | 0.0613026i | |||||
40.0267 | 1.29118 | 0.645591 | − | 0.763683i | ||||||
0.645591 | + | 0.763683i | ||||||||
−12.1744 | − | 29.5937i | −0.380449 | − | 0.924802i | |||||
−1.56200 | − | 1.56200i | −0.0473333 | − | 0.0473333i | |||||
0.929005 | − | 2.23975i | 0.0273237 | − | 0.0658751i | |||||
3.17684 | − | 10.8374i | 0.0907668 | − | 0.309640i | |||||
25.3345 | + | 25.3836i | 0.703737 | + | 0.705100i | |||||
1.57131 | + | 1.57131i | 0.0424677 | + | 0.0424677i | 0.728022 | − | 0.685554i | ||
−0.685554 | + | 0.728022i | ||||||||
37.9996 | − | 15.7184i | 0.999988 | − | 0.413642i | |||||
2.51044i | 0.0643704i | |||||||||
4.23607 | + | 39.7751i | 0.105902 | + | 0.994377i | |||||
−37.5504 | −0.915864 | −0.457932 | − | 0.888987i | ||||||
−0.457932 | + | 0.888987i | ||||||||
0.319383 | + | 0.772115i | 0.00760437 | + | 0.0183837i | |||||
−49.2602 | + | 49.2602i | −1.14558 | + | 1.14558i | −0.158174 | + | 0.987411i | ||
−0.987411 | + | 0.158174i | ||||||||
−33.7463 | − | 33.8116i | −0.766961 | − | 0.768446i | |||||
−21.5020 | − | 39.3357i | −0.477822 | − | 0.874127i | |||||
−57.8849 | − | 24.0095i | −1.25837 | − | 0.521946i | |||||
−34.0876 | + | 34.0876i | −0.725268 | + | 0.725268i | −0.969673 | − | 0.244405i | ||
0.244405 | + | 0.969673i | ||||||||
−2.08861 | − | 2.09670i | −0.0435127 | − | 0.0436813i | |||||
43.8983i | 0.895884i | |||||||||
8.85703 | − | 49.2093i | 0.177141 | − | 0.984186i | |||||
− | 0.224252i | − | 0.00439709i | |||||||
−0.0524906 | + | 54.2896i | −0.00100943 | + | 1.04403i | |||||
28.8002 | − | 28.8002i | 0.543401 | − | 0.543401i | −0.381124 | − | 0.924524i | ||
0.924524 | + | 0.381124i | ||||||||
6.13901 | + | 2.54634i | 0.113685 | + | 0.0471544i | |||||
28.6412 | + | 52.3962i | 0.520749 | + | 0.952659i | |||||
6.89068 | + | 16.7040i | 0.123048 | + | 0.298287i | |||||
2.68921 | − | 2.68921i | 0.0471792 | − | 0.0471792i | |||||
50.5285 | − | 20.9010i | 0.871181 | − | 0.360362i | |||||
−92.7071 | −1.57131 | −0.785653 | − | 0.618667i | ||||||
−0.785653 | + | 0.618667i | ||||||||
1.77123 | + | 3.24774i | 0.0295205 | + | 0.0541291i | |||||
4.82618i | 0.0791176i | 0.999217 | + | 0.0395588i | ||||||
−0.999217 | + | 0.0395588i | ||||||||
73.9744 | − | 30.5993i | 1.19314 | − | 0.493537i | |||||
−14.3196 | − | 14.3196i | −0.227294 | − | 0.227294i | |||||
−45.1234 | − | 45.3859i | −0.705053 | − | 0.709155i | |||||
19.0895 | − | 65.1217i | 0.293685 | − | 1.00187i | |||||
−4.08088 | − | 1.69267i | −0.0618315 | − | 0.0256465i | |||||
54.6048 | + | 54.6048i | 0.814997 | + | 0.814997i | 0.985378 | − | 0.170381i | ||
−0.170381 | + | 0.985378i | ||||||||
0.00468885 | − | 4.84955i | 6.89537e−5 | − | 0.0713169i | |||||
−5.79564 | −0.0839947 | |||||||||
−2.41371 | − | 22.4575i | −0.0344815 | − | 0.320822i | |||||
59.2198 | 0.834082 | 0.417041 | − | 0.908888i | ||||||
0.417041 | + | 0.908888i | ||||||||
66.2266 | + | 27.5445i | 0.919814 | + | 0.382563i | |||||
34.1124 | + | 34.1124i | 0.467293 | + | 0.467293i | 0.901037 | − | 0.433743i | ||
−0.433743 | + | 0.901037i | ||||||||
4.10520 | + | 1.70275i | 0.0554756 | + | 0.0230102i | |||||
−0.987017 | − | 4.51761i | −0.0131602 | − | 0.0602347i | |||||
58.2118 | − | 58.0993i | 0.765944 | − | 0.764465i | |||||
19.0740 | + | 19.0740i | 0.247715 | + | 0.247715i | |||||
1.91917 | + | 4.63963i | 0.0246047 | + | 0.0594824i | |||||
− | 96.2455i | − | 1.21830i | −0.793056 | − | 0.609149i | ||||
0.793056 | − | 0.609149i | ||||||||
38.2358 | + | 70.2711i | 0.477947 | + | 0.878388i | |||||
−80.0774 | −0.988610 | |||||||||
−69.3980 | + | 28.7063i | −0.846317 | + | 0.350077i | |||||
63.6959 | − | 63.6959i | 0.767421 | − | 0.767421i | −0.210231 | − | 0.977652i | ||
0.977652 | + | 0.210231i | ||||||||
1.18052 | + | 1.18281i | 0.0140539 | + | 0.0140811i | |||||
−1.70522 | + | 5.81716i | −0.0200614 | + | 0.0684372i | |||||
−53.3810 | + | 128.697i | −0.620710 | + | 1.49648i | |||||
3.57588 | − | 3.57588i | 0.0411021 | − | 0.0411021i | |||||
−88.2156 | − | 36.6901i | −1.00245 | − | 0.416933i | |||||
− | 3.68406i | − | 0.0413939i | −0.999786 | − | 0.0206970i | ||||
0.999786 | − | 0.0206970i | ||||||||
−69.8095 | − | 56.2598i | −0.775662 | − | 0.625109i | |||||
− | 30.6558i | − | 0.336877i | |||||||
−125.333 | − | 0.121180i | −1.36232 | − | 0.00131718i | |||||
5.23514 | − | 5.23514i | 0.0562918 | − | 0.0562918i | |||||
−36.9392 | + | 89.0574i | −0.392970 | + | 0.947419i | |||||
−90.2080 | + | 49.3101i | −0.949558 | + | 0.519054i | |||||
−5.46290 | − | 2.27829i | −0.0569052 | − | 0.0237322i | |||||
46.0410 | − | 46.0410i | 0.474650 | − | 0.474650i | −0.428766 | − | 0.903416i | ||
0.903416 | + | 0.428766i | ||||||||
33.5591 | + | 81.1298i | 0.342440 | + | 0.827855i | |||||
107.075 | 1.08157 | |||||||||
−21.2503 | − | 97.7160i | −0.212503 | − | 0.977160i | |||||
108.173i | 1.07102i | 0.844529 | + | 0.535510i | ||||||
−0.844529 | + | 0.535510i | ||||||||
−0.171434 | − | 0.414446i | −0.00168073 | − | 0.00406320i | |||||
−50.9112 | − | 50.9112i | −0.494284 | − | 0.494284i | 0.415369 | − | 0.909653i | ||
−0.909653 | + | 0.415369i | ||||||||
41.4059 | + | 100.374i | 0.398134 | + | 0.965137i | |||||
−1.00194 | − | 1.83294i | −0.00954225 | − | 0.0174566i | |||||
31.2095 | − | 75.2435i | 0.294429 | − | 0.709845i | |||||
−95.4147 | − | 95.4147i | −0.891726 | − | 0.891726i | 0.102960 | − | 0.994686i | ||
−0.994686 | + | 0.102960i | ||||||||
13.2923 | + | 0.0128518i | 0.123077 | + | 0.000118998i | |||||
−46.5432 | −0.427002 | −0.213501 | − | 0.976943i | ||||||
−0.213501 | + | 0.976943i | ||||||||
92.9882 | + | 74.9395i | 0.845347 | + | 0.681269i | |||||
0.411026 | 0.00370294 | |||||||||
25.5047 | + | 25.6035i | 0.227720 | + | 0.228603i | |||||
88.0400 | + | 88.0400i | 0.779115 | + | 0.779115i | 0.979680 | − | 0.200565i | ||
−0.200565 | + | 0.979680i | ||||||||
2.91418 | − | 7.02585i | 0.0255630 | − | 0.0616302i | |||||
150.341 | + | 44.0703i | 1.30731 | + | 0.383220i | |||||
77.4049 | − | 77.2554i | 0.667284 | − | 0.665995i | |||||
−86.0459 | − | 86.0459i | −0.735435 | − | 0.735435i | |||||
−171.335 | + | 70.8721i | −1.45199 | + | 0.600611i | |||||
2.73841i | 0.0230118i | |||||||||
5.75628 | + | 4.64819i | 0.0479690 | + | 0.0387349i | |||||
−21.6274 | −0.178739 | |||||||||
3.68948 | + | 8.91939i | 0.0302417 | + | 0.0731098i | |||||
−4.91127 | + | 4.91127i | −0.0399290 | + | 0.0399290i | |||||
113.322 | − | 113.103i | 0.913886 | − | 0.912121i | |||||
−8.74856 | + | 124.693i | −0.0699885 | + | 0.997548i | |||||
−37.4113 | − | 15.5175i | −0.296915 | − | 0.123154i | |||||
44.3246 | − | 44.3246i | 0.349012 | − | 0.349012i | −0.510729 | − | 0.859742i | ||
0.859742 | + | 0.510729i | ||||||||
−118.090 | − | 49.3834i | −0.922579 | − | 0.385808i | |||||
12.8856i | 0.0998884i | |||||||||
−14.5039 | − | 134.947i | −0.111569 | − | 1.03805i | |||||
− | 82.8025i | − | 0.632080i | −0.948746 | − | 0.316040i | ||||
0.948746 | − | 0.316040i | ||||||||
−8.83599 | − | 0.00854319i | −0.0669393 | − | 6.47212e-5i | |||||
−32.8388 | + | 32.8388i | −0.246908 | + | 0.246908i | |||||
142.661 | + | 59.1728i | 1.06463 | + | 0.441588i | |||||
−15.9444 | − | 4.67390i | −0.118107 | − | 0.0346215i | |||||
−3.69869 | − | 8.96618i | −0.0271962 | − | 0.0659278i | |||||
25.0030 | − | 25.0030i | 0.182503 | − | 0.182503i | −0.609942 | − | 0.792446i | ||
0.792446 | + | 0.609942i | ||||||||
−10.7111 | + | 4.43061i | −0.0776165 | + | 0.0321059i | |||||
−104.684 | −0.753121 | −0.376561 | − | 0.926392i | ||||||
−0.376561 | + | 0.926392i | ||||||||
−21.6290 | − | 39.6592i | −0.154493 | − | 0.283280i | |||||
8.91673i | 0.0632392i | |||||||||
109.446 | − | 45.2720i | 0.770745 | − | 0.318817i | |||||
114.615 | + | 114.615i | 0.801507 | + | 0.801507i | |||||
143.452 | + | 0.277398i | 0.996197 | + | 0.00192637i | |||||
−119.951 | + | 65.5683i | −0.827246 | + | 0.452195i | |||||
89.1222 | + | 36.9661i | 0.610426 | + | 0.253193i | |||||
5.74152 | + | 5.74152i | 0.0390580 | + | 0.0390580i | |||||
8.88864 | + | 0.00859410i | 0.0600584 | + | 5.80682e-5i | |||||
49.3481 | 0.331196 | 0.165598 | − | 0.986193i | ||||||
0.165598 | + | 0.986193i | ||||||||
−5.27772 | − | 7.59457i | −0.0351848 | − | 0.0506305i | |||||
−22.1078 | −0.146409 | −0.0732047 | − | 0.997317i | ||||||
−0.0732047 | + | 0.997317i | ||||||||
63.1675 | − | 151.876i | 0.415575 | − | 0.999187i | |||||
7.68626 | + | 7.68626i | 0.0502370 | + | 0.0502370i | |||||
49.8329 | + | 20.6697i | 0.323590 | + | 0.134219i | |||||
−175.609 | + | 95.9930i | −1.13296 | + | 0.619309i | |||||
7.09374 | + | 7.10747i | 0.0454727 | + | 0.0455607i | |||||
−64.7264 | − | 64.7264i | −0.412270 | − | 0.412270i | 0.470258 | − | 0.882529i | ||
−0.882529 | + | 0.470258i | ||||||||
−73.5771 | − | 177.874i | −0.465678 | − | 1.12579i | |||||
− | 7.53364i | − | 0.0473814i | |||||||
124.385 | + | 100.640i | 0.777407 | + | 0.628998i | |||||
70.7723 | 0.439579 | |||||||||
−147.993 | + | 61.2171i | −0.913540 | + | 0.377883i | |||||
25.7888 | − | 25.7888i | 0.158213 | − | 0.158213i | −0.623561 | − | 0.781775i | ||
0.781775 | + | 0.623561i | ||||||||
−106.311 | + | 106.106i | −0.648240 | + | 0.646987i | |||||
10.5990 | + | 3.10695i | 0.0642363 | + | 0.0188300i | |||||
69.0244 | − | 166.412i | 0.415810 | − | 1.00248i | |||||
−56.4754 | + | 56.4754i | −0.338176 | + | 0.338176i | −0.855681 | − | 0.517504i | ||
0.517504 | + | 0.855681i | ||||||||
3.08599 | + | 1.28350i | 0.0183690 | + | 0.00763990i | |||||
− | 15.2101i | − | 0.0900005i | |||||||
1.29560 | + | 12.0545i | 0.00762116 | + | 0.0709086i | |||||
184.346i | 1.07805i | |||||||||
−0.269424 | + | 278.657i | −0.00156642 | + | 1.62010i | |||||
135.496 | − | 135.496i | 0.783216 | − | 0.783216i | −0.197156 | − | 0.980372i | ||
0.980372 | + | 0.197156i | ||||||||
3.87502 | − | 9.34236i | 0.0222702 | − | 0.0536917i | |||||
12.0528 | + | 55.1659i | 0.0688729 | + | 0.315233i | |||||
−191.082 | − | 0.369501i | −1.08570 | − | 0.00209944i | |||||
−12.1253 | + | 12.1253i | −0.0685044 | + | 0.0685044i | |||||
−2.81636 | − | 6.80861i | −0.0158223 | − | 0.0382506i | |||||
15.5036 | 0.0866121 | 0.0433061 | − | 0.999062i | ||||||
0.0433061 | + | 0.999062i | ||||||||
−172.026 | − | 50.6078i | −0.955701 | − | 0.281154i | |||||
− | 263.672i | − | 1.45675i | −0.685179 | − | 0.728375i | ||||
0.685179 | − | 0.728375i | ||||||||
−23.4355 | − | 56.6559i | −0.128767 | − | 0.311296i | |||||
0.631222 | + | 0.631222i | 0.00344930 | + | 0.00344930i | |||||
−231.725 | + | 95.5901i | −1.25937 | + | 0.519512i | |||||
−10.6622 | − | 3.12546i | −0.0576333 | − | 0.0168944i | |||||
5.67309 | − | 13.6773i | 0.0305005 | − | 0.0735341i | |||||
−10.2383 | − | 10.2383i | −0.0547503 | − | 0.0547503i | |||||
−0.186439 | + | 192.829i | −0.000991696 | + | 1.02568i | |||||
−7.50579 | −0.0397132 | |||||||||
−129.020 | + | 160.093i | −0.679051 | + | 0.842595i | |||||
−120.714 | −0.632010 | −0.316005 | − | 0.948758i | ||||||
−0.316005 | + | 0.948758i | ||||||||
−11.8378 | − | 0.0343368i | −0.0616554 | − | 0.000178837i | |||||
−182.404 | − | 182.404i | −0.945098 | − | 0.945098i | 0.0534716 | − | 0.998569i | ||
−0.998569 | + | 0.0534716i | ||||||||
49.8926 | − | 120.287i | 0.257178 | − | 0.620036i | |||||
−6.02061 | − | 11.0141i | −0.0308749 | − | 0.0564826i | |||||
124.043 | + | 124.283i | 0.632873 | + | 0.634098i | |||||
224.288 | + | 224.288i | 1.13852 | + | 1.13852i | 0.988716 | + | 0.149799i | ||
0.149799 | + | 0.988716i | ||||||||
197.889 | − | 81.8563i | 0.999441 | − | 0.413416i | |||||
87.9089i | 0.441753i | 0.975302 | + | 0.220877i | ||||||
−0.975302 | + | 0.220877i | ||||||||
−113.975 | − | 164.347i | −0.569873 | − | 0.821733i | |||||
14.2837 | 0.0710631 | |||||||||
82.6954 | + | 199.918i | 0.409383 | + | 0.989691i | |||||
−43.6662 | + | 43.6662i | −0.215104 | + | 0.215104i | |||||
−0.633666 | − | 0.634892i | −0.00310621 | − | 0.00311222i | |||||
164.745 | − | 90.0544i | 0.803636 | − | 0.439290i | |||||
−133.011 | − | 55.1702i | −0.645684 | − | 0.267817i | |||||
198.646 | − | 198.646i | 0.959644 | − | 0.959644i | |||||
153.257 | + | 153.851i | 0.736812 | + | 0.739667i | |||||
− | 245.554i | − | 1.17490i | |||||||
−3.25294 | − | 2.62156i | −0.0154902 | − | 0.0124836i | |||||
119.117i | 0.564534i | 0.959336 | + | 0.282267i | ||||||
−0.959336 | + | 0.282267i | ||||||||
0.157520 | − | 162.919i | 0.000743019 | − | 0.768484i | |||||
7.74544 | − | 7.74544i | 0.0363636 | − | 0.0363636i | |||||
−249.281 | − | 103.397i | −1.16486 | − | 0.483162i | |||||
97.9828 | − | 334.257i | 0.455734 | − | 1.55468i | |||||
24.5757 | − | 10.1379i | 0.113776 | − | 0.0469345i | |||||
−63.9279 | + | 63.9279i | −0.294599 | + | 0.294599i | |||||
−86.0179 | + | 35.5811i | −0.394577 | + | 0.163216i | |||||
8.92322 | 0.0407453 | |||||||||
229.143 | + | 67.4109i | 1.04156 | + | 0.306413i | |||||
16.4550i | 0.0744571i | |||||||||
0.759629 | − | 0.314219i | 0.00342175 | − | 0.00141540i | |||||
111.993 | + | 111.993i | 0.502212 | + | 0.502212i | 0.912125 | − | 0.409913i | ||
−0.409913 | + | 0.912125i | ||||||||
66.7091 | + | 27.8209i | 0.297808 | + | 0.124200i | |||||
188.672 | + | 121.011i | 0.838541 | + | 0.537829i | |||||
230.013 | + | 95.4050i | 1.01776 | + | 0.422146i | |||||
85.8837 | + | 85.8837i | 0.378342 | + | 0.378342i | 0.870504 | − | 0.492162i | ||
−0.492162 | + | 0.870504i | ||||||||
0.0147084 | − | 15.2125i | 6.45105e−5 | − | 0.0667214i | |||||
−26.5156 | −0.115789 | −0.0578943 | − | 0.998323i | ||||||
−0.0578943 | + | 0.998323i | ||||||||
311.540 | − | 33.4839i | 1.35452 | − | 0.145582i | |||||
4.98944 | 0.0215993 | |||||||||
83.9946 | − | 201.952i | 0.362046 | − | 0.870482i | |||||
−71.6569 | − | 71.6569i | −0.307541 | − | 0.307541i | 0.536414 | − | 0.843955i | ||
−0.843955 | + | 0.536414i | ||||||||
−224.804 | − | 93.2441i | −0.960700 | − | 0.398479i | |||||
67.8033 | − | 231.303i | 0.288524 | − | 0.984267i | |||||
−262.469 | + | 261.962i | −1.11215 | + | 1.11001i | |||||
−12.5881 | − | 12.5881i | −0.0531143 | − | 0.0531143i | |||||
2.09344 | + | 5.06093i | 0.00879596 | + | 0.0212644i | |||||
114.913i | 0.480809i | 0.970673 | + | 0.240405i | ||||||
−0.970673 | + | 0.240405i | ||||||||
14.1918 | + | 4.18994i | 0.0591323 | + | 0.0174581i | |||||
219.080 | 0.909045 | 0.454522 | − | 0.890735i | ||||||
0.454522 | + | 0.890735i | ||||||||
−39.9702 | + | 16.5336i | −0.165166 | + | 0.0683205i | |||||
−31.6214 | + | 31.6214i | −0.130129 | + | 0.130129i | |||||
13.6373 | + | 13.6637i | 0.0558905 | + | 0.0559987i | |||||
−105.278 | − | 192.596i | −0.429707 | − | 0.786105i | |||||
−5.32212 | + | 12.8312i | −0.0216347 | + | 0.0521593i | |||||
−197.328 | + | 197.328i | −0.798897 | + | 0.798897i | |||||
122.969 | − | 295.660i | 0.495844 | − | 1.19218i | |||||
− | 16.6618i | − | 0.0669147i | |||||||
79.1564 | + | 237.138i | 0.316626 | + | 0.948551i | |||||
− | 95.0552i | − | 0.378706i | −0.981909 | − | 0.189353i | ||||
0.981909 | − | 0.189353i | ||||||||
−81.0036 | − | 0.0783194i | −0.321443 | − | 0.000310791i | |||||
−264.602 | + | 264.602i | −1.04586 | + | 1.04586i | |||||
48.0326 | − | 115.802i | 0.189105 | − | 0.455915i | |||||
0.537806 | + | 0.983862i | 0.00210904 | + | 0.00385828i | |||||
−255.998 | − | 0.990065i | −0.999993 | − | 0.00386744i | |||||
−249.128 | + | 249.128i | −0.969369 | + | 0.969369i | −0.999545 | − | 0.0301755i | ||
0.0301755 | + | 0.999545i | ||||||||
9.85070 | + | 23.8143i | 0.0381810 | + | 0.0923033i | |||||
−5.01917 | −0.0193790 | |||||||||
−129.968 | − | 238.311i | −0.499878 | − | 0.916582i | |||||
245.128i | 0.939187i | |||||||||
−63.3003 | − | 153.030i | −0.241604 | − | 0.584082i | |||||
−85.6095 | − | 85.6095i | −0.325511 | − | 0.325511i | 0.525365 | − | 0.850877i | ||
−0.850877 | + | 0.525365i | ||||||||
−16.3366 | + | 6.73909i | −0.0618810 | + | 0.0255269i | |||||
−57.2862 | + | 195.425i | −0.216174 | + | 0.737453i | |||||
−35.5859 | + | 85.7947i | −0.133782 | + | 0.322537i | |||||
−0.481843 | − | 0.481843i | −0.00180465 | − | 0.00180465i | |||||
308.891 | + | 0.298656i | 1.15258 | + | 0.00111439i | |||||
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−0.357098 | + | 0.934067i | ||||||||
−33.0405 | + | 3.55115i | −0.122372 | + | 0.0131524i | |||||
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−0.896274 | + | 0.443501i | ||||||||
−13.6901 | − | 13.7431i | −0.0503311 | − | 0.0505261i | |||||
−4.00951 | − | 4.00951i | −0.0146869 | − | 0.0146869i | |||||
27.0946 | − | 65.3228i | 0.0988853 | − | 0.238404i | |||||
−251.316 | − | 161.191i | −0.913876 | − | 0.586148i | |||||
−16.4084 | + | 16.3767i | −0.0594506 | + | 0.0593358i | |||||
−88.8551 | − | 88.8551i | −0.320777 | − | 0.320777i | 0.528288 | − | 0.849065i | ||
−0.849065 | + | 0.528288i | ||||||||
−193.469 | + | 80.0280i | −0.695933 | + | 0.287871i | |||||
358.871i | 1.28627i | |||||||||
−70.2916 | − | 56.7605i | −0.251042 | − | 0.202716i | |||||
390.006 | 1.38792 | 0.693961 | − | 0.720012i | ||||||
0.693961 | + | 0.720012i | ||||||||
6.81660 | + | 16.4793i | 0.0241724 | + | 0.0584371i | |||||
121.062 | − | 121.062i | 0.427779 | − | 0.427779i | −0.460092 | − | 0.887871i | ||
0.887871 | + | 0.460092i | ||||||||
167.661 | − | 167.337i | 0.590355 | − | 0.589214i | |||||
−5.34908 | + | 18.2478i | −0.0187687 | + | 0.0640272i | |||||
299.445 | + | 124.204i | 1.04701 | + | 0.434278i | |||||
59.9730 | − | 59.9730i | 0.208965 | − | 0.208965i | |||||
265.330 | − | 109.153i | 0.921286 | − | 0.379003i | |||||
287.530i | 0.994914i | |||||||||
−171.559 | + | 212.878i | −0.591583 | + | 0.734061i | |||||
− | 12.0435i | − | 0.0413867i | |||||||
192.969 | + | 0.186575i | 0.660852 | + | 0.000638954i | |||||
−244.956 | + | 244.956i | −0.836026 | + | 0.836026i | −0.988333 | − | 0.152307i | ||
0.152307 | + | 0.988333i | ||||||||
15.0003 | + | 6.22183i | 0.0510215 | + | 0.0211627i | |||||
406.735 | − | 222.332i | 1.37876 | − | 0.753669i | |||||
16.4339 | − | 6.77925i | 0.0555200 | − | 0.0229029i | |||||
28.0625 | − | 28.0625i | 0.0944866 | − | 0.0944866i | |||||
91.2017 | − | 37.7253i | 0.306046 | − | 0.126595i | |||||
425.269 | 1.42230 | |||||||||
−15.5598 | − | 10.0011i | −0.0518659 | − | 0.0333369i | |||||
− | 157.350i | − | 0.522757i | |||||||
−40.8581 | + | 16.9008i | −0.135292 | + | 0.0559630i | |||||
14.1481 | + | 14.1481i | 0.0466934 | + | 0.0466934i | |||||
0.636152 | − | 328.977i | 0.00209260 | − | 1.08216i | |||||
−11.5743 | − | 21.1739i | −0.0379484 | − | 0.0694228i | |||||
20.0811 | + | 8.32926i | 0.0656247 | + | 0.0272198i | |||||
−135.324 | − | 135.324i | −0.440796 | − | 0.440796i | 0.451483 | − | 0.892280i | ||
−0.892280 | + | 0.451483i | ||||||||
107.899 | + | 0.104324i | 0.350321 | + | 0.000338713i | |||||
−13.3175 | −0.0430987 | |||||||||
−251.165 | + | 311.656i | −0.810209 | + | 1.00534i | |||||
225.951 | 0.726531 | 0.363266 | − | 0.931686i | ||||||
0.363266 | + | 0.931686i | ||||||||
18.5436 | + | 7.71255i | 0.0594347 | + | 0.0247197i | |||||
−230.622 | − | 230.622i | −0.736812 | − | 0.736812i | 0.235148 | − | 0.971960i | ||
−0.971960 | + | 0.235148i | ||||||||
−169.104 | − | 70.1411i | −0.538549 | − | 0.223379i | |||||
97.1659 | + | 28.4828i | 0.308463 | + | 0.0904217i | |||||
−271.960 | − | 272.486i | −0.860633 | − | 0.862299i | |||||
221.563 | + | 221.563i | 0.698938 | + | 0.698938i | 0.964182 | − | 0.265243i | ||
−0.265243 | + | 0.964182i | ||||||||
−5.75927 | − | 13.9231i | −0.0181109 | − | 0.0437835i | |||||
− | 326.517i | − | 1.02356i | |||||||
306.816 | + | 90.9062i | 0.958800 | + | 0.284082i | |||||
−24.9588 | −0.0777534 | |||||||||
130.796 | − | 54.1035i | 0.406200 | − | 0.168023i | |||||
17.6268 | − | 17.6268i | 0.0545721 | − | 0.0545721i | |||||
−226.712 | + | 226.274i | −0.699729 | + | 0.698377i | |||||
72.4248 | + | 331.490i | 0.222846 | + | 1.01997i | |||||
27.9462 | − | 67.3759i | 0.0857244 | − | 0.206674i | |||||
−6.08745 | + | 6.08745i | −0.0186161 | + | 0.0186161i | |||||
−115.362 | + | 277.370i | −0.351713 | + | 0.845639i | |||||
− | 108.885i | − | 0.330957i | |||||||
21.9635 | − | 2.36061i | 0.0665560 | − | 0.00715336i | |||||
− | 141.212i | − | 0.426624i | −0.976984 | − | 0.213312i | ||||
0.976984 | − | 0.213312i | ||||||||
0.348379 | − | 360.318i | 0.00104933 | − | 1.08530i | |||||
−14.0880 | + | 14.0880i | −0.0423063 | + | 0.0423063i | |||||
−61.1999 | + | 147.548i | −0.183233 | + | 0.441760i | |||||
−370.523 | − | 108.614i | −1.10604 | − | 0.324220i | |||||
6.68450 | + | 0.0129260i | 0.0198944 | + | 3.84703e-5i | |||||
225.465 | − | 225.465i | 0.669035 | − | 0.669035i | −0.288458 | − | 0.957493i | ||
0.957493 | + | 0.288458i | ||||||||
−11.6277 | − | 28.1102i | −0.0344015 | − | 0.0831663i | |||||
23.0297 | 0.0679343 | |||||||||
11.6097 | + | 21.2877i | 0.0341463 | + | 0.0626110i | |||||
− | 478.025i | − | 1.40183i | |||||||
140.928 | + | 340.696i | 0.412070 | + | 0.996187i | |||||
−148.371 | − | 148.371i | −0.432568 | − | 0.432568i | |||||
212.528 | + | 515.201i | 0.617815 | + | 1.49768i | |||||
25.4273 | − | 13.8992i | 0.0737022 | − | 0.0402877i | |||||
146.831 | − | 353.998i | 0.424368 | − | 1.02312i | |||||
346.013 | + | 346.013i | 0.997155 | + | 0.997155i | 0.999996 | − | 0.00284067i | ||
−0.00284067 | + | 0.999996i | ||||||||
0.0195579 | − | 20.2282i | 5.62009e−5 | − | 0.0581271i | |||||
428.411 | 1.22754 | 0.613769 | − | 0.789486i | ||||||
0.613769 | + | 0.789486i | ||||||||
64.4479 | + | 92.7396i | 0.184137 | + | 0.264970i | |||||
−45.1021 | −0.128496 | |||||||||
−353.427 | + | 145.395i | −1.00405 | + | 0.413053i | |||||
25.9724 | + | 25.9724i | 0.0735762 | + | 0.0735762i | 0.742937 | − | 0.669361i | ||
−0.669361 | + | 0.742937i | ||||||||
−13.1396 | + | 31.6785i | −0.0371176 | + | 0.0894874i | |||||
−259.816 | + | 142.022i | −0.731876 | + | 0.400063i | |||||
−10.4100 | − | 10.4302i | −0.0292416 | − | 0.0292982i | |||||
0.358160 | + | 0.358160i | 0.00100325 | + | 0.00100325i | |||||
28.6526 | − | 11.8521i | 0.0800352 | − | 0.0331063i | |||||
288.043i | 0.802348i | 0.916002 | + | 0.401174i | ||||||
−0.916002 | + | 0.401174i | ||||||||
−356.615 | + | 37.9797i | −0.990597 | + | 0.105499i | |||||
61.7587 | 0.171077 | |||||||||
−201.570 | − | 487.299i | −0.556823 | − | 1.34613i | |||||
−2.82868 | + | 2.82868i | −0.00779249 | + | 0.00779249i | |||||
−86.6238 | − | 86.7915i | −0.237978 | − | 0.238438i | |||||
−231.471 | − | 67.8526i | −0.634168 | − | 0.185898i | |||||
1.64913 | + | 0.684027i | 0.00450583 | + | 0.00186893i | |||||
160.854 | − | 160.854i | 0.438295 | − | 0.438295i | −0.453143 | − | 0.891438i | ||
0.891438 | + | 0.453143i | ||||||||
−355.181 | + | 353.810i | −0.965167 | + | 0.961442i | |||||
− | 336.669i | − | 0.912382i | |||||||
−22.0944 | + | 2.37467i | −0.0597145 | + | 0.00641804i | |||||
91.9956i | 0.247966i | |||||||||
0.0286331 | − | 29.6144i | 7.69706e−5 | − | 0.0796086i | |||||
360.121 | − | 360.121i | 0.965471 | − | 0.965471i | −0.0339529 | − | 0.999423i | ||
0.999423 | + | 0.0339529i | ||||||||
−26.7486 | − | 11.0948i | −0.0715204 | − | 0.0296652i | |||||
15.1646 | + | 17.4531i | 0.0404389 | + | 0.0465415i | |||||
147.068 | + | 356.515i | 0.391138 | + | 0.948177i | |||||
−262.389 | + | 262.389i | −0.695992 | + | 0.695992i | |||||
−13.8717 | + | 5.73797i | −0.0366975 | + | 0.0151798i | |||||
64.1572 | 0.169280 | 0.0846402 | − | 0.996412i | ||||||
0.0846402 | + | 0.996412i | ||||||||
−116.058 | + | 394.505i | −0.305416 | + | 1.03817i | |||||
− | 11.5945i | − | 0.0304319i | |||||||
−223.095 | + | 92.2826i | −0.584018 | + | 0.241577i | |||||
376.877 | + | 376.877i | 0.984014 | + | 0.984014i | 0.999874 | − | 0.0158604i | ||
−0.0158604 | + | 0.999874i | ||||||||
−21.9041 | + | 8.98625i | −0.0570419 | + | 0.0234017i | |||||
−129.428 | − | 37.9399i | −0.336175 | − | 0.0985452i | |||||
−476.549 | − | 197.663i | −1.23458 | − | 0.512080i | |||||
−441.656 | − | 441.656i | −1.14123 | − | 1.14123i | |||||
0.251817 | − | 260.447i | 0.000649013 | − | 0.671256i | |||||
−10.3794 | −0.0266823 | −0.0133411 | − | 0.999911i | ||||||
−0.0133411 | + | 0.999911i | ||||||||
−19.5469 | − | 15.7529i | −0.0501202 | − | 0.0403920i | |||||
−37.9882 | −0.0971566 | |||||||||
324.259 | + | 134.864i | 0.827191 | + | 0.344040i | |||||
−10.8298 | − | 10.8298i | −0.0275569 | − | 0.0275569i | |||||
585.974 | + | 243.050i | 1.48724 | + | 0.616879i | |||||
230.818 | + | 422.259i | 0.584350 | + | 1.06901i | |||||
303.148 | − | 302.562i | 0.765525 | − | 0.764046i | |||||
−184.458 | − | 184.458i | −0.464630 | − | 0.464630i | 0.435540 | − | 0.900169i | ||
−0.900169 | + | 0.435540i | ||||||||
67.2040 | + | 162.467i | 0.168854 | + | 0.408208i | |||||
8.59006i | 0.0215290i | |||||||||
−336.278 | − | 216.603i | −0.840696 | − | 0.541508i | |||||
−262.943 | −0.655719 | −0.327859 | − | 0.944727i | ||||||
−0.327859 | + | 0.944727i | ||||||||
26.3981 | − | 10.9195i | 0.0656669 | − | 0.0271629i | |||||
−384.141 | + | 384.141i | −0.953204 | + | 0.953204i | |||||
305.663 | + | 306.255i | 0.756593 | + | 0.758057i | |||||
351.325 | − | 192.044i | 0.867468 | − | 0.474182i | |||||
−47.3191 | + | 114.082i | −0.116549 | + | 0.280991i | |||||
18.7656 | − | 18.7656i | 0.0461071 | − | 0.0461071i | |||||
−1.65645 | − | 0.688942i | −0.00405994 | − | 0.00168858i | |||||
245.618i | 0.600532i | 0.953855 | + | 0.300266i | ||||||
−0.953855 | + | 0.300266i | ||||||||
235.627 | − | 292.376i | 0.574699 | − | 0.713111i | |||||
− | 6.54034i | − | 0.0159132i | |||||||
−287.997 | − | 0.278454i | −0.699023 | − | 0.000675859i | |||||
148.065 | − | 148.065i | 0.358512 | − | 0.358512i | |||||
215.264 | − | 518.984i | 0.519962 | − | 1.25358i | |||||
−126.697 | + | 432.211i | −0.305293 | + | 1.04147i | |||||
400.854 | + | 167.175i | 0.963590 | + | 0.401864i | |||||
−13.6917 | + | 13.6917i | −0.0328339 | + | 0.0328339i | |||||
−187.720 | − | 453.816i | −0.449091 | − | 1.08568i | |||||
−673.011 | −1.60623 | −0.803116 | − | 0.595823i | ||||||
−0.803116 | + | 0.595823i | ||||||||
−8.01597 | − | 2.35819i | −0.0190856 | − | 0.00561474i | |||||
701.227i | 1.66562i | 0.553557 | + | 0.832811i | ||||||
−0.553557 | + | 0.832811i | ||||||||
91.0615 | + | 220.143i | 0.215786 | + | 0.521666i | |||||
−305.622 | − | 305.622i | −0.722511 | − | 0.722511i | |||||
−124.256 | − | 301.215i | −0.293056 | − | 0.710413i | |||||
−6.46952 | − | 29.6112i | −0.0152224 | − | 0.0696734i | |||||
8.39339 | − | 20.2358i | 0.0197028 | − | 0.0475018i | |||||
−7.70804 | − | 7.70804i | −0.0180516 | − | 0.0180516i | |||||
−539.747 | − | 0.521861i | −1.26109 | − | 0.00121930i | |||||
29.9814 | 0.0698868 | |||||||||
−74.4456 | − | 692.655i | −0.173129 | − | 1.61082i | |||||
405.559 | 0.940973 | 0.470486 | − | 0.882407i | ||||||
0.470486 | + | 0.882407i | ||||||||
37.6689 | − | 37.5235i | 0.0871966 | − | 0.0868600i | |||||
145.764 | + | 145.764i | 0.336638 | + | 0.336638i | 0.855100 | − | 0.518462i | ||
−0.518462 | + | 0.855100i | ||||||||
−69.2758 | + | 167.018i | −0.159622 | + | 0.384834i | |||||
−7.11274 | + | 24.2643i | −0.0163511 | + | 0.0557800i | |||||
−131.771 | + | 131.517i | −0.302228 | + | 0.301644i | |||||
−455.553 | − | 455.553i | −1.04245 | − | 1.04245i | |||||
16.4913 | − | 6.82156i | 0.0376513 | − | 0.0155743i | |||||
− | 62.3888i | − | 0.142116i | −0.997472 | − | 0.0710579i | ||||
0.997472 | − | 0.0710579i | ||||||||
475.020 | − | 50.5900i | 1.07959 | − | 0.114977i | |||||
−393.583 | −0.892479 | |||||||||
12.5794 | + | 30.4110i | 0.0284602 | + | 0.0688032i | |||||
169.632 | − | 169.632i | 0.382918 | − | 0.382918i | −0.489235 | − | 0.872152i | ||
0.872152 | + | 0.489235i | ||||||||
1.16368 | − | 1.16143i | 0.00262090 | − | 0.00261584i | |||||
8.83520 | + | 16.1631i | 0.0198544 | + | 0.0363216i | |||||
292.594 | + | 121.362i | 0.656040 | + | 0.272112i | |||||
6.45431 | − | 6.45431i | 0.0144392 | − | 0.0144392i | |||||
144.555 | + | 0.419297i | 0.322668 | + | 0.000935930i | |||||
− | 17.0056i | − | 0.0378743i | −0.999821 | − | 0.0189371i | ||||
0.999821 | − | 0.0189371i | ||||||||
441.200 | + | 79.4102i | 0.980444 | + | 0.176467i | |||||
448.452i | 0.994351i | |||||||||
498.029 | + | 0.481526i | 1.10183 | + | 0.00106532i | |||||
−2.89151 | + | 2.89151i | −0.00638303 | + | 0.00638303i | |||||
224.380 | + | 93.0683i | 0.494229 | + | 0.204996i | |||||
73.5195 | + | 134.497i | 0.161581 | + | 0.295597i | |||||
−11.6024 | − | 28.1259i | −0.0254438 | − | 0.0616795i | |||||
559.163 | − | 559.163i | 1.22355 | − | 1.22355i | 0.257191 | − | 0.966360i | ||
0.966360 | − | 0.257191i | ||||||||
−49.0042 | + | 20.2705i | −0.106996 | + | 0.0442586i | |||||
4.02886 | 0.00877747 | |||||||||
550.168 | − | 300.046i | 1.19602 | − | 0.652274i | |||||
− | 327.625i | − | 0.710683i | −0.934737 | − | 0.355341i | ||||
0.934737 | − | 0.355341i | ||||||||
9.22112 | − | 3.81429i | 0.0199591 | − | 0.00825604i | |||||
605.934 | + | 605.934i | 1.30871 | + | 1.30871i | 0.922345 | + | 0.386367i | ||
0.386367 | + | 0.922345i | ||||||||
0.845899 | − | 437.445i | 0.00182306 | − | 0.942769i | |||||
−10.4132 | + | 35.5232i | −0.0223939 | + | 0.0763941i | |||||
−187.211 | − | 77.6514i | −0.401741 | − | 0.166634i | |||||
83.9231 | + | 83.9231i | 0.179707 | + | 0.179707i | 0.791228 | − | 0.611521i | ||
−0.611521 | + | 0.791228i | ||||||||
−486.749 | − | 0.470619i | −1.04006 | − | 0.00100560i | |||||
−174.422 | −0.371903 | |||||||||
−51.5157 | − | 479.311i | −0.109608 | − | 1.01981i | |||||
−16.9313 | −0.0359476 | |||||||||
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588.298 | + | 588.298i | 1.24376 | + | 1.24376i | |||||
−32.8876 | − | 13.6411i | −0.0693832 | − | 0.0287788i | |||||
277.514 | − | 432.678i | 0.584239 | − | 0.910901i | |||||
7.73789 | + | 7.75286i | 0.0162561 | + | 0.0162875i | |||||
258.217 | + | 258.217i | 0.541335 | + | 0.541335i | |||||
87.8483 | + | 212.375i | 0.183783 | + | 0.444299i | |||||
− | 831.992i | − | 1.73694i | −0.495746 | − | 0.868468i | ||||
0.495746 | − | 0.868468i | ||||||||
29.4313 | − | 3.10568i | 0.0613152 | − | 0.00647017i | |||||
−30.1601 | −0.0627028 | |||||||||
404.888 | − | 167.481i | 0.840016 | − | 0.347470i | |||||
9.25640 | − | 9.25640i | 0.0191644 | − | 0.0191644i | |||||
−61.2306 | + | 61.1123i | −0.126510 | + | 0.126265i | |||||
−91.5797 | + | 312.413i | −0.188824 | + | 0.644151i | |||||
−34.2667 | + | 82.6140i | −0.0705075 | + | 0.169988i | |||||
−373.676 | + | 373.676i | −0.767301 | + | 0.767301i | −0.977631 | − | 0.210329i | ||
0.210329 | + | 0.977631i | ||||||||
35.6490 | + | 14.8269i | 0.0730512 | + | 0.0303830i | |||||
− | 6.74590i | − | 0.0137953i | |||||||
−341.802 | − | 275.459i | −0.697555 | − | 0.562162i | |||||
42.8051i | 0.0871795i | 0.999050 | + | 0.0435898i | ||||||
−0.999050 | + | 0.0435898i | ||||||||
−0.0268617 | + | 27.7823i | −5.45970e−5 | + | 0.0564681i | |||||
23.4386 | − | 23.4386i | 0.0475427 | − | 0.0475427i | |||||
−213.835 | + | 515.539i | −0.432865 | + | 1.04360i | |||||
−469.773 | + | 256.791i | −0.949037 | + | 0.518770i | |||||
1.23841 | − | 640.425i | 0.00249679 | − | 1.29118i | |||||
−94.5819 | + | 94.5819i | −0.190306 | + | 0.190306i | |||||
−12.7375 | − | 30.7931i | −0.0255772 | − | 0.0618335i | |||||
−485.100 | −0.972143 | −0.486072 | − | 0.873919i | ||||||
−0.486072 | + | 0.873919i | ||||||||
327.577 | + | 377.748i | 0.655153 | + | 0.755496i | |||||
14.7730i | 0.0294870i | |||||||||
−72.6672 | − | 175.674i | −0.144755 | − | 0.349949i | |||||
−666.926 | − | 666.926i | −1.32590 | − | 1.32590i | −0.908916 | − | 0.416980i | ||
−0.416980 | − | 0.908916i | ||||||||
−149.765 | + | 61.7803i | −0.297153 | + | 0.122580i | |||||
−259.423 | − | 474.589i | −0.513709 | − | 0.939780i | |||||
−286.738 | + | 691.301i | −0.566675 | + | 1.36621i | |||||
−1.98935 | − | 1.98935i | −0.00392376 | − | 0.00392376i | |||||
0.242429 | − | 250.738i | 0.000477222 | − | 0.493578i | |||||
−779.971 | −1.53236 | −0.766180 | − | 0.642626i | ||||||
−0.766180 | + | 0.642626i | ||||||||
1.74607 | + | 1.40717i | 0.00342367 | + | 0.00275915i | |||||
−108.964 | −0.213237 | |||||||||
−473.874 | + | 193.874i | −0.925536 | + | 0.378660i | |||||
48.3138 | + | 48.3138i | 0.0941790 | + | 0.0941790i | |||||
−269.969 | + | 650.872i | −0.525231 | + | 1.26629i | |||||
345.460 | + | 101.267i | 0.670796 | + | 0.196635i | |||||
36.4107 | + | 36.4812i | 0.0705634 | + | 0.0707000i | |||||
407.097 | + | 407.097i | 0.787422 | + | 0.787422i | |||||
−9.27606 | + | 3.83702i | −0.0179075 | + | 0.00740737i | |||||
− | 35.4435i | − | 0.0682919i | |||||||
−422.381 | − | 341.073i | −0.812271 | − | 0.655909i | |||||
−736.972 | −1.41453 | −0.707267 | − | 0.706947i | ||||||
−0.707267 | + | 0.706947i | ||||||||
187.394 | + | 453.028i | 0.358992 | + | 0.867869i | |||||
671.690 | − | 671.690i | 1.28430 | − | 1.28430i | 0.346108 | − | 0.938195i | ||
0.938195 | − | 0.346108i | ||||||||
−233.974 | − | 234.427i | −0.446516 | − | 0.447380i | |||||
8.79161 | + | 5.63882i | 0.0167459 | + | 0.0107406i | |||||
−223.664 | − | 92.7712i | −0.425216 | − | 0.176371i | |||||
34.3144 | − | 34.3144i | 0.0651127 | − | 0.0651127i | |||||
−25.0402 | + | 24.9436i | −0.0474247 | + | 0.0472417i | |||||
452.780i | 0.855917i | |||||||||
43.5250 | + | 404.964i | 0.0821227 | + | 0.764084i | |||||
− | 831.192i | − | 1.56533i | |||||||
−0.179609 | + | 185.764i | −0.000337610 | + | 0.349181i | |||||
360.377 | − | 360.377i | 0.676129 | − | 0.676129i | |||||
−1.25886 | − | 0.522152i | −0.00235742 | − | 0.000977812i | |||||
647.440 | + | 189.788i | 1.21017 | + | 0.354744i | |||||
571.099 | − | 235.587i | 1.06548 | − | 0.439529i | |||||
2.02773 | − | 2.02773i | 0.00377604 | − | 0.00377604i | |||||
−355.060 | + | 146.870i | −0.659963 | + | 0.272992i | |||||
524.263 | 0.972659 | |||||||||
−58.3483 | + | 31.8215i | −0.108052 | + | 0.0589288i | |||||
1039.61i | 1.92164i | 0.277168 | + | 0.960822i | ||||||
−0.277168 | + | 0.960822i | ||||||||
−897.785 | + | 371.366i | −1.65643 | + | 0.685177i | |||||
−34.4860 | − | 34.4860i | −0.0635101 | − | 0.0635101i | |||||
−35.8072 | − | 14.9333i | −0.0658221 | − | 0.0274510i | |||||
204.200 | − | 111.621i | 0.374678 | − | 0.204809i | |||||
−10.4753 | − | 4.34493i | −0.0191855 | − | 0.00795775i | |||||
238.506 | + | 238.506i | 0.436026 | + | 0.436026i | 0.890672 | − | 0.454646i | ||
−0.454646 | + | 0.890672i | ||||||||
0.136751 | − | 141.438i | 0.000249546 | − | 0.258099i | |||||
−43.2705 | −0.0788169 | |||||||||
−587.690 | − | 105.777i | −1.06853 | − | 0.192321i | |||||
562.148 | 1.02023 | |||||||||
−17.8053 | + | 42.8100i | −0.0322559 | + | 0.0775543i | |||||
153.717 | + | 153.717i | 0.277969 | + | 0.277969i | |||||
−232.143 | − | 96.2883i | −0.419031 | − | 0.173806i | |||||
−1.80330 | + | 0.985734i | −0.00324919 | + | 0.00177610i | |||||
−296.377 | + | 295.804i | −0.533052 | + | 0.532022i | |||||
−263.387 | − | 263.387i | −0.472867 | − | 0.472867i | 0.429974 | − | 0.902841i | ||
−0.902841 | + | 0.429974i | ||||||||
274.347 | + | 663.239i | 0.491661 | + | 1.18860i | |||||
− | 945.513i | − | 1.69144i | |||||||
−173.300 | − | 51.1646i | −0.309464 | − | 0.0913653i | |||||
−2.67816 | −0.00477391 | |||||||||
720.782 | − | 298.149i | 1.28253 | − | 0.530515i | |||||
160.698 | − | 160.698i | 0.285431 | − | 0.285431i | −0.549839 | − | 0.835270i | ||
0.835270 | + | 0.549839i | ||||||||
25.1959 | + | 25.2447i | 0.0446736 | + | 0.0447601i | |||||
−597.399 | − | 175.119i | −1.05734 | − | 0.309946i | |||||
131.189 | − | 316.286i | 0.231783 | − | 0.558809i | |||||
127.894 | − | 127.894i | 0.225563 | − | 0.225563i | |||||
181.934 | − | 437.432i | 0.320307 | − | 0.770127i | |||||
− | 407.195i | − | 0.715633i | −0.933792 | − | 0.357817i | ||||
0.933792 | − | 0.357817i | ||||||||
4.06414 | + | 37.8134i | 0.00713007 | + | 0.0663394i | |||||
131.146i | 0.229678i | 0.993384 | + | 0.114839i | ||||||
−0.993384 | + | 0.114839i | ||||||||
648.363 | + | 0.626878i | 1.13350 | + | 0.00109594i | |||||
−15.7883 | + | 15.7883i | −0.0275538 | + | 0.0275538i | |||||
64.9901 | − | 156.686i | 0.113223 | − | 0.272971i | |||||
−765.282 | + | 167.201i | −1.33093 | + | 0.290784i | |||||
406.920 | − | 404.567i | 0.706459 | − | 0.702373i | |||||
417.933 | − | 417.933i | 0.724321 | − | 0.724321i | −0.245162 | − | 0.969482i | ||
0.969482 | + | 0.245162i | ||||||||
219.809 | + | 531.393i | 0.380293 | + | 0.919365i | |||||
−47.7137 | −0.0824071 | |||||||||
−154.324 | + | 524.578i | −0.266075 | + | 0.904445i | |||||
203.462i | 0.350192i | |||||||||
−9.20697 | − | 22.2580i | −0.0158195 | − | 0.0382440i | |||||
−343.952 | − | 343.952i | −0.589969 | − | 0.589969i | |||||
356.774 | − | 147.175i | 0.610914 | − | 0.252012i | |||||
583.868 | + | 171.153i | 0.998064 | + | 0.292569i | |||||
−265.448 | + | 639.972i | −0.452982 | + | 1.09210i | |||||
212.882 | + | 212.882i | 0.362660 | + | 0.362660i | 0.864791 | − | 0.502131i | ||
−0.502131 | + | 0.864791i | ||||||||
32.4789 | + | 0.0314027i | 0.0552363 | + | 5.34059e-5i | |||||
822.992 | 1.39727 | |||||||||
581.731 | − | 721.837i | 0.985985 | − | 1.22345i | |||||
58.6697 | 0.0992720 | |||||||||
25.1895 | − | 25.0922i | 0.0425498 | − | 0.0423855i | |||||
97.2530 | + | 97.2530i | 0.164002 | + | 0.164002i | 0.784337 | − | 0.620335i | ||
−0.620335 | + | 0.784337i | ||||||||
30.4101 | − | 73.3162i | 0.0511955 | − | 0.123428i | |||||
−6.56731 | − | 12.0142i | −0.0110375 | − | 0.0201920i | |||||
139.712 | − | 139.443i | 0.234417 | − | 0.233964i | |||||
11.4977 | + | 11.4977i | 0.0192592 | + | 0.0192592i | |||||
785.952 | − | 325.107i | 1.31430 | − | 0.543657i | |||||
712.479i | 1.18945i | 0.803930 | + | 0.594723i | ||||||
−0.803930 | + | 0.594723i | ||||||||
−36.4020 | − | 6.58823i | −0.0606700 | − | 0.0109804i | |||||
217.550 | 0.361980 | 0.180990 | − | 0.983485i | ||||||
0.180990 | + | 0.983485i | ||||||||
−120.290 | − | 290.803i | −0.199817 | − | 0.483062i | |||||
−489.575 | + | 489.575i | −0.811899 | + | 0.811899i | |||||
−62.5908 | + | 62.4699i | −0.103627 | + | 0.103427i | |||||
94.8861 | − | 51.8674i | 0.156837 | − | 0.0857312i | |||||
36.9633 | + | 15.3317i | 0.0609956 | + | 0.0252998i | |||||
12.6560 | − | 12.6560i | 0.0208501 | − | 0.0208501i | −0.696605 | − | 0.717455i | ||
0.717455 | + | 0.696605i | ||||||||
−250.318 | − | 608.478i | −0.411708 | − | 1.00079i | |||||
11.4223i | 0.0187558i | |||||||||
−37.5776 | − | 30.2840i | −0.0616027 | − | 0.0496458i | |||||
− | 654.287i | − | 1.07085i | |||||||
43.4800 | + | 0.0420392i | 0.0710458 | + | 6.86916e-5i | |||||
−523.841 | + | 523.841i | −0.854552 | + | 0.854552i | −0.990690 | − | 0.136138i | ||
0.136138 | + | 0.990690i | ||||||||
−353.549 | − | 146.645i | −0.575813 | − | 0.238836i | |||||
9.76895 | − | 33.3256i | 0.0158845 | − | 0.0541880i | |||||
199.491 | − | 82.2931i | 0.323849 | − | 0.133593i | |||||
−331.035 | + | 331.035i | −0.536523 | + | 0.536523i | −0.922506 | − | 0.385983i | ||
0.385983 | + | 0.922506i | ||||||||
−24.6125 | + | 10.1809i | −0.0398260 | + | 0.0164739i | |||||
−277.907 | −0.448961 | −0.224481 | − | 0.974479i | ||||||
−0.224481 | + | 0.974479i | ||||||||
−225.932 | + | 767.990i | −0.364407 | + | 1.23869i | |||||
− | 104.123i | − | 0.167670i | |||||||
417.587 | − | 172.734i | 0.671361 | − | 0.277707i | |||||
5.88393 | + | 5.88393i | 0.00944451 | + | 0.00944451i | |||||
40.1670 | + | 0.0776721i | 0.0643703 | + | 0.000124475i | |||||
−260.660 | − | 568.050i | −0.417057 | − | 0.908881i | |||||
−602.524 | − | 249.915i | −0.962498 | − | 0.399225i | |||||
−32.1164 | − | 32.1164i | −0.0512223 | − | 0.0512223i | |||||
−366.148 | − | 0.354015i | −0.583038 | − | 0.000563718i | |||||
2.69412 | 0.00428318 | |||||||||
201.349 | − | 21.6408i | 0.319602 | − | 0.0343504i | |||||
425.237 | 0.673910 | 0.336955 | − | 0.941521i | ||||||
0.336955 | + | 0.941521i | ||||||||
−710.926 | − | 295.684i | −1.12488 | − | 0.467854i | |||||
15.5794 | + | 15.5794i | 0.0246121 | + | 0.0246121i | |||||
578.857 | + | 240.098i | 0.913024 | + | 0.378704i | |||||
−88.1655 | + | 300.766i | −0.138843 | + | 0.473647i | |||||
−21.2877 | − | 21.3289i | −0.0334713 | − | 0.0335361i | |||||
−421.298 | − | 421.298i | −0.661379 | − | 0.661379i | |||||
−249.613 | − | 603.445i | −0.391244 | − | 0.945839i | |||||
530.952i | 0.830911i | |||||||||
636.531 | − | 66.5464i | 0.994580 | − | 0.103979i | |||||
−474.056 | −0.739558 | −0.369779 | − | 0.929120i | ||||||
−0.369779 | + | 0.929120i | ||||||||
−46.1271 | + | 19.0804i | −0.0718491 | + | 0.0297202i | |||||
−490.408 | + | 490.408i | −0.762687 | + | 0.762687i | −0.976807 | − | 0.214121i | ||
0.214121 | + | 0.976807i | ||||||||
200.368 | − | 199.981i | 0.311130 | − | 0.310529i | |||||
−30.9026 | − | 56.5332i | −0.0479110 | − | 0.0876483i | |||||
19.1014 | − | 46.0518i | 0.0295687 | − | 0.0712876i | |||||
−319.187 | + | 319.187i | −0.493334 | + | 0.493334i | −0.909355 | − | 0.416021i | ||
0.416021 | + | 0.909355i | ||||||||
−246.013 | + | 591.499i | −0.379649 | + | 0.912807i | |||||
1107.17i | 1.70596i | |||||||||
387.266 | + | 557.270i | 0.595794 | + | 0.857339i | |||||
16.7224i | 0.0256873i | |||||||||
0.141049 | − | 145.883i | 0.000216333 | − | 0.223747i | |||||
95.6351 | − | 95.6351i | 0.146455 | − | 0.146455i | −0.630077 | − | 0.776532i | ||
0.776532 | + | 0.630077i | ||||||||
−6.59670 | + | 15.9041i | −0.0100867 | + | 0.0243182i | |||||
198.579 | + | 363.280i | 0.303174 | + | 0.554626i | |||||
−1.16179 | + | 600.806i | −0.00177103 | + | 0.915862i | |||||
−305.845 | + | 305.845i | −0.465517 | + | 0.465517i | |||||
−83.2396 | − | 201.233i | −0.126504 | − | 0.305826i | |||||
295.703 | 0.448715 | 0.224358 | − | 0.974507i | ||||||
0.224358 | + | 0.974507i | ||||||||
38.7867 | − | 21.1532i | 0.0587678 | − | 0.0320503i | |||||
− | 1223.87i | − | 1.85154i | −0.378088 | − | 0.925770i | ||||
0.378088 | − | 0.925770i | ||||||||
−107.953 | − | 260.979i | −0.163071 | − | 0.394228i | |||||
2.15217 | + | 2.15217i | 0.00324611 | + | 0.00324611i | |||||
−274.810 | − | 666.181i | −0.413871 | − | 1.00328i | |||||
65.3192 | − | 222.829i | 0.0982244 | − | 0.335081i | |||||
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29.2955 | 0.0437900 | |||||||||
−767.807 | + | 82.5229i | −1.14598 | + | 0.123168i | |||||
57.6374 | 0.0858978 | |||||||||
12.3637 | − | 5.08624i | 0.0183984 | − | 0.00756880i | |||||
−95.3663 | − | 95.3663i | −0.141703 | − | 0.141703i | 0.632697 | − | 0.774400i | ||
−0.774400 | + | 0.632697i | ||||||||
244.326 | − | 589.050i | 0.362502 | − | 0.873961i | |||||
81.1623 | − | 17.7325i | 0.120241 | − | 0.0262704i | |||||
−42.9790 | − | 43.0622i | −0.0635784 | − | 0.0637015i | |||||
208.006 | + | 208.006i | 0.307247 | + | 0.307247i | 0.843841 | − | 0.536594i | ||
−0.536594 | + | 0.843841i | ||||||||
42.5619 | − | 17.6056i | 0.0627757 | − | 0.0259670i | |||||
147.067i | 0.216594i | |||||||||
37.7302 | + | 30.4671i | 0.0554856 | + | 0.0448046i | |||||
22.4657 | 0.0329892 | |||||||||
−365.438 | − | 883.452i | −0.535832 | − | 1.29538i | |||||
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−0.999470 | + | 0.0325668i | ||||||||
520.906 | + | 521.914i | 0.761559 | + | 0.763033i | |||||
−49.7331 | + | 169.658i | −0.0726030 | + | 0.247677i | |||||
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786.637 | + | 789.685i | 1.14337 | + | 1.14780i | |||||
552.800i | 0.802321i | |||||||||
36.3673 | − | 45.1261i | 0.0527062 | − | 0.0654001i | |||||
814.437i | 1.17864i | 0.807901 | + | 0.589318i | ||||||
−0.807901 | + | 0.589318i | ||||||||
0.741084 | − | 766.483i | 0.00107093 | − | 1.10763i | |||||
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903.994 | + | 374.959i | 1.30259 | + | 0.540286i | |||||
459.281 | − | 251.056i | 0.660836 | − | 0.361231i | |||||
−15.4278 | − | 37.3993i | −0.0221664 | − | 0.0537347i | |||||
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791.758 | − | 327.509i | 1.13432 | − | 0.469210i | |||||
−18.7442 | −0.0268158 | |||||||||
190.005 | + | 122.126i | 0.271436 | + | 0.174466i | |||||
− | 39.4607i | − | 0.0562920i | −0.999604 | − | 0.0281460i | ||||
0.999604 | − | 0.0281460i | ||||||||
−83.3545 | + | 34.4794i | −0.118739 | + | 0.0491159i | |||||
32.3078 | + | 32.3078i | 0.0459570 | + | 0.0459570i | |||||
−542.029 | + | 538.894i | −0.769928 | + | 0.765474i | |||||
−21.3843 | − | 39.1205i | −0.0303324 | − | 0.0554900i | |||||
67.8556 | + | 28.1451i | 0.0961127 | + | 0.0398656i | |||||
−172.767 | − | 172.767i | −0.244366 | − | 0.244366i | |||||
−0.0663180 | + | 68.5909i | −9.36695e−5 | + | 0.0968798i | |||||
1177.86 | 1.66130 | 0.830648 | − | 0.556798i | ||||||
0.830648 | + | 0.556798i | ||||||||
−371.601 | + | 461.098i | −0.523381 | + | 0.649434i | |||||
862.917 | 1.21367 | |||||||||
−27.2126 | − | 11.3181i | −0.0382200 | − | 0.0158962i | |||||
−886.832 | − | 886.832i | −1.24380 | − | 1.24380i | |||||
0.935729 | + | 0.388122i | 0.00131054 | + | 0.000543588i | |||||
−777.728 | − | 227.980i | −1.08773 | − | 0.318853i | |||||
43.8931 | − | 43.8083i | 0.0613032 | − | 0.0611848i | |||||
15.0297 | + | 15.0297i | 0.0209619 | + | 0.0209619i | |||||
220.201 | + | 532.341i | 0.306687 | + | 0.741422i | |||||
− | 242.835i | − | 0.337740i | −0.985638 | − | 0.168870i | ||||
0.985638 | − | 0.168870i | ||||||||
−630.036 | + | 342.814i | −0.875049 | + | 0.476131i | |||||
162.624 | 0.225553 | |||||||||
114.138 | − | 47.2129i | 0.158086 | − | 0.0653918i | |||||
28.6537 | − | 28.6537i | 0.0396317 | − | 0.0396317i | |||||
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369.014 | − | 575.338i | 0.508984 | − | 0.793569i | |||||
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0.138116 | + | 0.990416i | ||||||||
−226.442 | − | 94.1802i | −0.311046 | − | 0.129368i | |||||
− | 712.425i | − | 0.977264i | |||||||
−479.660 | + | 51.5532i | −0.657069 | + | 0.0706209i | |||||
84.4603i | 0.115541i | |||||||||
3.57073 | + | 0.00345241i | 0.00487804 | + | 4.71640e-6i | |||||
281.127 | − | 281.127i | 0.383529 | − | 0.383529i | −0.488843 | − | 0.872372i | ||
0.872372 | + | 0.488843i | ||||||||
174.310 | − | 420.248i | 0.237480 | − | 0.572545i | |||||
−38.9593 | − | 11.4204i | −0.0530059 | − | 0.0155379i | |||||
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652.127 | − | 652.127i | 0.884841 | − | 0.884841i | |||||
−257.375 | − | 622.208i | −0.348746 | − | 0.843100i | |||||
1109.74 | 1.50168 | 0.750839 | − | 0.660485i | ||||||
0.750839 | + | 0.660485i | ||||||||
−39.0179 | + | 21.2793i | −0.0527268 | + | 0.0287558i | |||||
51.6175i | 0.0696592i | |||||||||
70.3282 | + | 170.020i | 0.0947819 | + | 0.229137i | |||||
−339.850 | − | 339.850i | −0.457403 | − | 0.457403i | 0.440399 | − | 0.897802i | ||
−0.897802 | + | 0.440399i | ||||||||
−22.5865 | − | 54.7531i | −0.0303582 | − | 0.0735929i | |||||
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390.247 | − | 940.852i | 0.523119 | − | 1.26120i | |||||
571.084 | + | 571.084i | 0.764504 | + | 0.764504i | |||||
−57.9166 | − | 0.0559974i | −0.0774286 | − | 7.48629e-5i | |||||
304.780 | 0.406916 | |||||||||
41.3685 | + | 20.6626i | 0.0551580 | + | 0.0275501i | |||||
−980.557 | −1.30567 | −0.652834 | − | 0.757501i | ||||||
−0.652834 | + | 0.757501i | ||||||||
544.346 | + | 546.455i | 0.723865 | + | 0.726670i | |||||
−12.4324 | − | 12.4324i | −0.0165105 | − | 0.0165105i | |||||
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96.9939 | − | 53.0195i | 0.128469 | − | 0.0702245i | |||||
−21.2501 | + | 21.2090i | −0.0281086 | + | 0.0280543i | |||||
−101.564 | − | 101.564i | −0.134166 | − | 0.134166i | 0.636834 | − | 0.771001i | ||
−0.771001 | + | 0.636834i | ||||||||
118.571 | − | 49.0465i | 0.156426 | − | 0.0647052i | |||||
69.2154i | 0.0911929i | |||||||||
87.0983 | + | 817.819i | 0.114603 | + | 1.07608i | |||||
767.675 | 1.00877 | 0.504386 | − | 0.863478i | ||||||
0.504386 | + | 0.863478i | ||||||||
−8.86372 | − | 21.4282i | −0.0116322 | − | 0.0281210i | |||||
74.3357 | − | 74.3357i | 0.0974256 | − | 0.0974256i | |||||
−341.760 | + | 341.100i | −0.447330 | + | 0.446466i | |||||
−52.1554 | − | 15.2886i | −0.0681770 | − | 0.0199852i | |||||
984.630 | + | 408.405i | 1.28542 | + | 0.533166i | |||||
889.722 | − | 889.722i | 1.16000 | − | 1.16000i | |||||
−33.6118 | + | 33.3528i | −0.0437654 | + | 0.0434282i | |||||
− | 331.840i | − | 0.431522i | −0.976446 | − | 0.215761i | ||||
0.976446 | − | 0.215761i | ||||||||
−268.203 | + | 28.8261i | −0.348315 | + | 0.0374365i | |||||
65.1675i | 0.0845234i | |||||||||
−1031.83 | − | 0.997640i | −1.33657 | − | 0.00129228i | |||||
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0.580779 | + | 0.814061i | ||||||||
−1153.87 | − | 478.603i | −1.49079 | − | 0.618350i | |||||
540.241 | − | 842.302i | 0.697085 | − | 1.08684i | |||||
−198.640 | − | 481.533i | −0.255979 | − | 0.620532i | |||||
−0.656463 | + | 0.656463i | −0.000844869 | + | 0.000844869i | |||||
−19.1825 | + | 7.93478i | −0.0246561 | + | 0.0101989i | |||||
−772.078 | −0.991114 | |||||||||
−48.1678 | − | 14.1703i | −0.0617536 | − | 0.0181671i | |||||
− | 707.243i | − | 0.905561i | |||||||
−70.2071 | + | 29.0410i | −0.0897789 | + | 0.0371368i | |||||
64.2435 | + | 64.2435i | 0.0820479 | + | 0.0820479i | |||||
702.372 | + | 1.35820i | 0.895883 | + | 0.00173239i | |||||
439.204 | + | 128.747i | 0.559495 | + | 0.164008i | |||||
−28.2941 | − | 11.7358i | −0.0359976 | − | 0.0149311i | |||||
945.029 | + | 945.029i | 1.20080 | + | 1.20080i | 0.973924 | + | 0.226876i | ||
0.226876 | + | 0.973924i | ||||||||
1268.76 | + | 1.22672i | 1.61010 | + | 0.00155675i | |||||
−22.3940 | −0.0283827 | |||||||||
749.388 | + | 603.935i | 0.948593 | + | 0.764474i | |||||
−281.223 | −0.355529 | |||||||||
328.955 | − | 790.922i | 0.415348 | − | 0.998639i | |||||
−46.3175 | − | 46.3175i | −0.0584079 | − | 0.0584079i | |||||
−481.915 | − | 199.889i | −0.606946 | − | 0.251749i | |||||
18.0674 | + | 33.0524i | 0.0227263 | + | 0.0415754i | |||||
248.403 | + | 248.884i | 0.312065 | + | 0.312669i | |||||
680.774 | + | 680.774i | 0.854171 | + | 0.854171i | 0.990644 | − | 0.136473i | ||
−0.136473 | + | 0.990644i | ||||||||
6.56687 | + | 15.8755i | 0.00822917 | + | 0.0198942i | |||||
58.4458i | 0.0731487i | |||||||||
−787.073 | − | 143.235i | −0.983841 | − | 0.179043i | |||||
33.0305 | 0.0412366 | |||||||||
−485.953 | + | 201.013i | −0.605926 | + | 0.250640i | |||||
407.393 | − | 407.393i | 0.507339 | − | 0.507339i | |||||
40.4394 | − | 40.3613i | 0.0502977 | − | 0.0502006i | |||||
−310.500 | + | 169.728i | −0.385714 | + | 0.210842i | |||||
−416.277 | + | 1003.61i | −0.516472 | + | 1.24517i | |||||
−25.1275 | + | 25.1275i | −0.0311369 | + | 0.0311369i | |||||
799.029 | + | 332.327i | 0.988898 | + | 0.411296i | |||||
− | 427.952i | − | 0.528989i | −0.964387 | − | 0.264495i | ||||
0.964387 | − | 0.264495i | ||||||||
502.481 | − | 623.500i | 0.620347 | − | 0.769753i | |||||
− | 1222.46i | − | 1.50735i | −0.657245 | − | 0.753677i | ||||
0.657245 | − | 0.753677i | ||||||||
−0.238828 | + | 247.013i | −0.000294123 | + | 0.304203i | |||||
−63.5359 | + | 63.5359i | −0.0781499 | + | 0.0781499i | |||||
20.3354 | − | 49.0270i | 0.0249821 | − | 0.0602297i | |||||
−51.2962 | + | 174.991i | −0.0629401 | + | 0.214713i | |||||
−3.58802 | − | 0.00693825i | −0.00439708 | − | 8.50276e-6i | |||||
−1012.84 | + | 1012.84i | −1.23971 | + | 1.23971i | |||||
187.768 | + | 453.933i | 0.229545 | + | 0.554930i | |||||
274.853 | 0.335596 | |||||||||
211.955 | − | 720.478i | 0.258482 | − | 0.878632i | |||||
1019.26i | 1.24148i | 0.784015 | + | 0.620742i | ||||||
−0.784015 | + | 0.620742i | ||||||||
−4.99992 | − | 12.0874i | −0.00608262 | − | 0.0147049i | |||||
−158.477 | − | 158.477i | −0.192560 | − | 0.192560i | 0.604241 | − | 0.796801i | ||
−0.796801 | + | 0.604241i | ||||||||
−532.469 | + | 219.652i | −0.646200 | + | 0.266568i | |||||
−53.9523 | + | 11.7876i | −0.0653967 | + | 0.0142880i | |||||
160.452 | − | 386.836i | 0.194252 | − | 0.468325i | |||||
−573.534 | − | 573.534i | −0.693511 | − | 0.693511i | 0.269492 | − | 0.963003i | ||
−0.963003 | + | 0.269492i | ||||||||
1.08648 | − | 1123.71i | 0.00131217 | − | 1.35714i | |||||
−1133.71 | −1.36756 | −0.683782 | − | 0.729686i | ||||||
−0.683782 | + | 0.729686i | ||||||||
96.2620 | + | 895.638i | 0.115978 | + | 1.07908i | |||||
−23.2430 | −0.0279699 | |||||||||
868.630 | + | 2.51955i | 1.04403 | + | 0.00302830i | |||||
37.6335 | + | 37.6335i | 0.0451783 | + | 0.0451783i | |||||
−14.8371 | + | 35.7711i | −0.0177903 | + | 0.0428910i | |||||
112.335 | − | 383.216i | 0.134532 | − | 0.458941i | |||||
−693.861 | − | 695.204i | −0.829977 | − | 0.831584i | |||||
94.0534 | + | 94.0534i | 0.112370 | + | 0.112370i | |||||
−1243.81 | + | 514.499i | −1.48426 | + | 0.613961i | |||||
1109.49i | 1.32240i | 0.750212 | + | 0.661198i | ||||||
−0.750212 | + | 0.661198i | ||||||||
−16.6173 | + | 1.76976i | −0.0197825 | + | 0.00210685i | |||||
−93.5052 | −0.111183 | |||||||||
536.070 | + | 1295.96i | 0.636662 | + | 1.53914i | |||||
51.0094 | − | 51.0094i | 0.0605094 | − | 0.0605094i | |||||
336.587 | + | 337.238i | 0.398800 | + | 0.399572i | |||||
36.4772 | + | 66.7314i | 0.0431683 | + | 0.0789721i | |||||
−798.470 | − | 331.189i | −0.943817 | − | 0.391477i | |||||
34.5418 | − | 34.5418i | 0.0407814 | − | 0.0407814i | |||||
−459.912 | − | 461.694i | −0.542349 | − | 0.544450i | |||||
− | 31.6676i | − | 0.0372999i | |||||||
−34.5935 | − | 49.7795i | −0.0406982 | − | 0.0585642i | |||||
− | 69.6278i | − | 0.0818188i | |||||||
0.0423629 | − | 43.8148i | 4.97217e−5 | − | 0.0514258i | |||||
−1.51055 | + | 1.51055i | −0.00177087 | + | 0.00177087i | −0.707992 | − | 0.706221i | ||
0.706221 | + | 0.707992i | ||||||||
−20.1380 | − | 8.35286i | −0.0235809 | − | 0.00978087i | |||||
−442.104 | − | 808.785i | −0.517081 | − | 0.945948i | |||||
−997.920 | + | 411.658i | −1.16579 | + | 0.480908i | |||||
−396.892 | + | 396.892i | −0.463118 | + | 0.463118i | −0.899676 | − | 0.436558i | ||
0.436558 | + | 0.899676i | ||||||||
55.4095 | − | 22.9200i | 0.0645799 | − | 0.0267133i | |||||
−941.956 | −1.09657 | −0.548286 | − | 0.836291i | ||||||
−0.548286 | + | 0.836291i | ||||||||
−667.101 | − | 1223.20i | −0.775699 | − | 1.42233i | |||||
− | 15.6879i | − | 0.0182206i | |||||||
749.526 | − | 310.039i | 0.869520 | − | 0.359674i | |||||
833.800 | + | 833.800i | 0.966164 | + | 0.966164i | 0.999446 | − | 0.0332818i | ||
−0.0332818 | + | 0.999446i | ||||||||
40.9313 | − | 98.1452i | 0.0473742 | − | 0.113594i | |||||
−269.514 | + | 919.416i | −0.311577 | + | 1.06291i | |||||
380.824 | + | 157.958i | 0.439751 | + | 0.182400i | |||||
37.6064 | + | 37.6064i | 0.0433754 | + | 0.0433754i | |||||
−0.349647 | + | 361.631i | −0.000402819 | + | 0.416625i | |||||
−1149.43 | −1.32270 | |||||||||
5.40414 | + | 50.2810i | 0.00621165 | + | 0.0577943i | |||||
−1048.10 | −1.20333 | |||||||||
−142.989 | + | 343.796i | −0.163979 | + | 0.394261i | |||||
412.794 | + | 412.794i | 0.472846 | + | 0.472846i | |||||
−1190.18 | − | 493.662i | −1.36176 | − | 0.564831i | |||||
−185.179 | − | 213.125i | −0.211634 | − | 0.243571i | |||||
25.2631 | − | 25.2143i | 0.0288391 | − | 0.0287834i | |||||
−33.6015 | − | 33.6015i | −0.0383142 | − | 0.0383142i | 0.687690 | − | 0.726004i | ||
−0.726004 | + | 0.687690i | ||||||||
−47.6946 | − | 115.303i | −0.0543219 | − | 0.131324i | |||||
64.0762i | 0.0728967i | |||||||||
839.224 | − | 456.638i | 0.953664 | − | 0.518906i | |||||
1084.55 | 1.23104 | 0.615521 | − | 0.788121i | ||||||
0.615521 | + | 0.788121i | ||||||||
−727.392 | + | 300.884i | −0.824708 | + | 0.341138i | |||||
1165.53 | − | 1165.53i | 1.31997 | − | 1.31997i | 0.406174 | − | 0.913796i | ||
0.913796 | − | 0.406174i | ||||||||
46.4968 | + | 46.5868i | 0.0525982 | + | 0.0527000i | |||||
24.1182 | − | 82.2765i | 0.0272523 | − | 0.0929679i | |||||
183.823 | − | 443.182i | 0.207475 | − | 0.500206i | |||||
−381.705 | + | 381.705i | −0.430333 | + | 0.430333i | −0.888742 | − | 0.458409i | ||
0.458409 | + | 0.888742i | ||||||||
1.26275 | − | 3.03608i | 0.00142201 | − | 0.00341901i | |||||
141.584i | 0.159263i | |||||||||
28.6849 | + | 23.1172i | 0.0322302 | + | 0.0259744i | |||||
956.338i | 1.07333i | |||||||||
633.529 | + | 0.612536i | 0.710234 | + | 0.000686699i | |||||
−700.879 | + | 700.879i | −0.784859 | + | 0.784859i | |||||
6.99425 | − | 16.8625i | 0.00782354 | − | 0.0188619i | |||||
−68.0190 | + | 37.1811i | −0.0759989 | + | 0.0415431i | |||||
267.477 | − | 109.734i | 0.298524 | − | 0.122471i | |||||
55.6215 | − | 55.6215i | 0.0620084 | − | 0.0620084i | |||||
−13.0003 | − | 31.4285i | −0.0144769 | − | 0.0349983i | |||||
1094.34 | 1.21729 | |||||||||
876.101 | − | 190.525i | 0.973446 | − | 0.211695i | |||||
− | 49.3802i | − | 0.0548060i | |||||||
342.830 | + | 828.798i | 0.380078 | + | 0.918845i | |||||
−20.5800 | − | 20.5800i | −0.0227907 | − | 0.0227907i | |||||
920.790 | − | 379.840i | 1.01857 | − | 0.420177i | |||||
632.344 | + | 1156.81i | 0.698723 | + | 1.27824i | |||||
−3.13340 | + | 7.55437i | −0.00345850 | + | 0.00833815i | |||||
−457.511 | − | 457.511i | −0.504422 | − | 0.504422i | 0.408387 | − | 0.912809i | ||
−0.912809 | + | 0.408387i | ||||||||
485.831 | + | 0.469732i | 0.535056 | + | 0.000517326i | |||||
−969.856 | −1.06695 | |||||||||
238.693 | + | 192.363i | 0.262300 | + | 0.211388i | |||||
−620.530 | −0.681152 | −0.340576 | − | 0.940217i | ||||||
−0.340576 | + | 0.940217i | ||||||||
−42.9441 | − | 43.1105i | −0.0470879 | − | 0.0472703i | |||||
−760.699 | − | 760.699i | −0.833187 | − | 0.833187i | |||||
605.940 | − | 1460.87i | 0.662954 | − | 1.59833i | |||||
−4.28318 | − | 1.25556i | −0.00468107 | − | 0.00137219i | |||||
−75.0699 | + | 74.9248i | −0.0819540 | + | 0.0817957i | |||||
132.247 | + | 132.247i | 0.144216 | + | 0.144216i | |||||
7.44585 | − | 3.07996i | 0.00811095 | − | 0.00335507i | |||||
− | 981.064i | − | 1.06753i | −0.845631 | − | 0.533767i | ||||
0.845631 | − | 0.533767i | ||||||||
787.403 | − | 975.113i | 0.855873 | − | 1.05990i | |||||
−35.3985 | −0.0384349 | |||||||||
−250.460 | − | 605.493i | −0.271649 | − | 0.656717i | |||||
−568.341 | + | 568.341i | −0.615754 | + | 0.615754i | |||||
14.1259 | − | 14.0986i | 0.0152878 | − | 0.0152582i | |||||
54.2738 | − | 11.8579i | 0.0586743 | − | 0.0128193i | |||||
1583.06 | + | 656.623i | 1.70957 | + | 0.709096i | |||||
456.459 | − | 456.459i | 0.492405 | − | 0.492405i | |||||
−332.852 | − | 809.101i | −0.358676 | − | 0.871876i | |||||
− | 776.484i | − | 0.835827i | −0.908487 | − | 0.417914i | ||||
0.908487 | − | 0.417914i | ||||||||
7.91173 | + | 73.6121i | 0.00850724 | + | 0.0791528i | |||||
902.598i | 0.969493i | |||||||||
−405.353 | − | 0.391921i | −0.434928 | − | 0.000420516i | |||||
29.5525 | − | 29.5525i | 0.0316747 | − | 0.0316747i | |||||
219.258 | + | 90.9437i | 0.234751 | + | 0.0973701i | |||||
69.4724 | + | 20.3649i | 0.0743021 | + | 0.0217806i | |||||
−899.934 | + | 371.237i | −0.961468 | + | 0.396621i | |||||
759.800 | − | 759.800i | 0.810885 | − | 0.810885i | −0.173881 | − | 0.984767i | ||
0.984767 | + | 0.173881i | ||||||||
−322.355 | + | 133.341i | −0.343662 | + | 0.142155i | |||||
−60.3267 | −0.0642457 | |||||||||
−461.628 | − | 846.446i | −0.491094 | − | 0.900475i | |||||
759.500i | 0.807120i | 0.914953 | + | 0.403560i | ||||||
−0.914953 | + | 0.403560i | ||||||||
−31.2912 | + | 12.9435i | −0.0332179 | + | 0.0137405i | |||||
831.969 | + | 831.969i | 0.882257 | + | 0.882257i | |||||
−2.86832 | + | 1483.31i | −0.00303847 | + | 1.57130i | |||||
32.9302 | − | 18.0006i | 0.0348468 | − | 0.0190482i | |||||
1536.99 | + | 637.512i | 1.62472 | + | 0.673903i | |||||
−822.618 | − | 822.618i | −0.868657 | − | 0.868657i | 0.123667 | − | 0.992324i | ||
−0.992324 | + | 0.123667i | ||||||||
−71.2089 | − | 0.0688492i | −0.0751149 | − | 7.26258e-5i | |||||
−654.763 | −0.689951 | |||||||||
182.110 | − | 1011.80i | 0.191695 | − | 1.06505i | |||||
57.9572 | 0.0609434 | |||||||||
20.2275 | + | 8.41288i | 0.0212473 | + | 0.00883706i | |||||
659.139 | + | 659.139i | 0.691647 | + | 0.691647i | 0.962594 | − | 0.270947i | ||
−0.270947 | + | 0.962594i | ||||||||
674.618 | + | 279.818i | 0.707146 | + | 0.293310i | |||||
529.610 | − | 289.499i | 0.554565 | − | 0.303140i | |||||
324.710 | + | 325.338i | 0.339655 | + | 0.340312i | |||||
−42.7056 | − | 42.7056i | −0.0446244 | − | 0.0446244i | |||||
−636.036 | − | 1537.63i | −0.663920 | − | 1.60504i | |||||
79.8661i | 0.0832806i | |||||||||
52.0186 | − | 28.2391i | 0.0541861 | − | 0.0294158i | |||||
641.133 | 0.667152 | |||||||||
−55.7397 | + | 23.0566i | −0.0579415 | + | 0.0239673i | |||||
855.468 | − | 855.468i | 0.888336 | − | 0.888336i | |||||
620.250 | − | 619.052i | 0.643413 | − | 0.642170i | |||||
1237.71 | + | 362.817i | 1.28260 | + | 0.375976i | |||||
10.0307 | − | 24.1833i | 0.0103838 | − | 0.0250345i | |||||
332.005 | − | 332.005i | 0.343335 | − | 0.343335i | −0.514284 | − | 0.857620i | ||
0.857620 | + | 0.514284i | ||||||||
−66.4433 | + | 159.753i | −0.0686398 | + | 0.165034i | |||||
− | 4.61086i | − | 0.00475837i | |||||||
69.5807 | + | 647.390i | 0.0717326 | + | 0.667413i | |||||
960.961i | 0.989661i | 0.868989 | + | 0.494831i | ||||||
−0.868989 | + | 0.494831i | ||||||||
−0.172950 | + | 178.877i | −0.000177932 | + | 0.184030i | |||||
167.194 | − | 167.194i | 0.171834 | − | 0.171834i | |||||
−404.936 | + | 976.266i | −0.415745 | + | 1.00233i | |||||
52.8286 | + | 33.8835i | 0.0541832 | + | 0.0347524i | |||||
77.2187 | + | 0.149320i | 0.0791175 | + | 0.000152992i | |||||
69.4628 | − | 69.4628i | 0.0710980 | − | 0.0710980i | −0.670664 | − | 0.741762i | ||
0.741762 | + | 0.670664i | ||||||||
−5.15706 | − | 12.4673i | −0.00527307 | − | 0.0127477i | |||||
−43.9975 | −0.0449413 | |||||||||
−842.275 | − | 247.786i | −0.859465 | − | 0.252843i | |||||
− | 417.297i | − | 0.425379i | |||||||
32.7234 | + | 79.1094i | 0.0333232 | + | 0.0805595i | |||||
234.943 | + | 234.943i | 0.239006 | + | 0.239006i | 0.816438 | − | 0.577433i | ||
−0.577433 | + | 0.816438i | ||||||||
21.1892 | + | 51.3659i | 0.0215338 | + | 0.0522011i | |||||
−1521.91 | − | 446.128i | −1.54509 | − | 0.452921i | |||||
25.3993 | − | 61.2356i | 0.0257600 | − | 0.0621051i | |||||
−14.2412 | − | 14.2412i | −0.0144288 | − | 0.0144288i | |||||
−1.07926 | + | 1116.25i | −0.00109237 | + | 1.12981i | |||||
2182.82 | 2.20710 | |||||||||
−671.892 | + | 833.712i | −0.678679 | + | 0.842134i | |||||
−919.592 | −0.927944 | −0.463972 | − | 0.885850i | ||||||
−0.463972 | + | 0.885850i | ||||||||
−487.299 | − | 1184.54i | −0.491229 | − | 1.19409i | |||||
−18.4694 | − | 18.4694i | −0.0185996 | − | 0.0185996i | |||||
−102.494 | + | 247.105i | −0.103113 | + | 0.248596i | |||||
−210.825 | − | 385.684i | −0.211885 | − | 0.387622i | |||||
−47.0810 | − | 47.1721i | −0.0472700 | − | 0.0473615i | |||||
−835.935 | − | 835.935i | −0.838450 | − | 0.838450i | 0.150205 | − | 0.988655i | ||
−0.988655 | + | 0.150205i | ||||||||
−896.526 | + | 370.846i | −0.898323 | + | 0.371589i | |||||
7.38441i | 0.00739180i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 40.3.i.a.13.9 | yes | 20 | |
3.2 | odd | 2 | 360.3.u.b.253.2 | 20 | |||
4.3 | odd | 2 | 160.3.m.a.113.5 | 20 | |||
5.2 | odd | 4 | inner | 40.3.i.a.37.7 | yes | 20 | |
5.3 | odd | 4 | 200.3.i.b.157.4 | 20 | |||
5.4 | even | 2 | 200.3.i.b.93.2 | 20 | |||
8.3 | odd | 2 | 160.3.m.a.113.6 | 20 | |||
8.5 | even | 2 | inner | 40.3.i.a.13.7 | ✓ | 20 | |
15.2 | even | 4 | 360.3.u.b.37.4 | 20 | |||
20.3 | even | 4 | 800.3.m.b.657.5 | 20 | |||
20.7 | even | 4 | 160.3.m.a.17.6 | 20 | |||
20.19 | odd | 2 | 800.3.m.b.593.6 | 20 | |||
24.5 | odd | 2 | 360.3.u.b.253.4 | 20 | |||
40.3 | even | 4 | 800.3.m.b.657.6 | 20 | |||
40.13 | odd | 4 | 200.3.i.b.157.2 | 20 | |||
40.19 | odd | 2 | 800.3.m.b.593.5 | 20 | |||
40.27 | even | 4 | 160.3.m.a.17.5 | 20 | |||
40.29 | even | 2 | 200.3.i.b.93.4 | 20 | |||
40.37 | odd | 4 | inner | 40.3.i.a.37.9 | yes | 20 | |
120.77 | even | 4 | 360.3.u.b.37.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
40.3.i.a.13.7 | ✓ | 20 | 8.5 | even | 2 | inner | |
40.3.i.a.13.9 | yes | 20 | 1.1 | even | 1 | trivial | |
40.3.i.a.37.7 | yes | 20 | 5.2 | odd | 4 | inner | |
40.3.i.a.37.9 | yes | 20 | 40.37 | odd | 4 | inner | |
160.3.m.a.17.5 | 20 | 40.27 | even | 4 | |||
160.3.m.a.17.6 | 20 | 20.7 | even | 4 | |||
160.3.m.a.113.5 | 20 | 4.3 | odd | 2 | |||
160.3.m.a.113.6 | 20 | 8.3 | odd | 2 | |||
200.3.i.b.93.2 | 20 | 5.4 | even | 2 | |||
200.3.i.b.93.4 | 20 | 40.29 | even | 2 | |||
200.3.i.b.157.2 | 20 | 40.13 | odd | 4 | |||
200.3.i.b.157.4 | 20 | 5.3 | odd | 4 | |||
360.3.u.b.37.2 | 20 | 120.77 | even | 4 | |||
360.3.u.b.37.4 | 20 | 15.2 | even | 4 | |||
360.3.u.b.253.2 | 20 | 3.2 | odd | 2 | |||
360.3.u.b.253.4 | 20 | 24.5 | odd | 2 | |||
800.3.m.b.593.5 | 20 | 40.19 | odd | 2 | |||
800.3.m.b.593.6 | 20 | 20.19 | odd | 2 | |||
800.3.m.b.657.5 | 20 | 20.3 | even | 4 | |||
800.3.m.b.657.6 | 20 | 40.3 | even | 4 |