Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [200,6,Mod(149,200)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(200, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("200.149");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 200.f (of order , degree , not 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: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 149.10 | ||
Character | 200.149 | ||
Dual form | 200.6.f.d.149.9 |
-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 .
−4.83252 | + | 2.94053i | −0.854277 | + | 0.519817i | |||||
−0.457817 | −0.0293689 | −0.0146845 | − | 0.999892i | ||||||
−0.0146845 | + | 0.999892i | ||||||||
14.7065 | − | 28.4204i | 0.459580 | − | 0.888137i | |||||
0 | 0 | |||||||||
2.21241 | − | 1.34622i | 0.0250892 | − | 0.0152665i | |||||
− | 195.837i | − | 1.51060i | −0.655379 | − | 0.755300i | ||||
0.655379 | − | 0.755300i | ||||||||
12.5013 | + | 180.587i | 0.0690604 | + | 0.997612i | |||||
−242.790 | −0.999137 | |||||||||
0 | 0 | |||||||||
− | 358.513i | − | 0.893353i | −0.894696 | − | 0.446676i | ||||
0.894696 | − | 0.446676i | ||||||||
−6.73290 | + | 13.0113i | −0.0134974 | + | 0.0260836i | |||||
−951.826 | −1.56207 | −0.781033 | − | 0.624490i | ||||||
−0.781033 | + | 0.624490i | ||||||||
575.865 | + | 946.387i | 0.785237 | + | 1.29047i | |||||
0 | 0 | |||||||||
−591.435 | − | 835.931i | −0.577573 | − | 0.816339i | |||||
2101.46i | 1.76360i | 0.471628 | + | 0.881798i | ||||||
−0.471628 | + | 0.881798i | ||||||||
1173.29 | − | 713.933i | 0.853541 | − | 0.519369i | |||||
− | 2882.77i | − | 1.83200i | −0.401178 | − | 0.916000i | ||||
0.401178 | − | 0.916000i | ||||||||
0 | 0 | |||||||||
89.6574i | 0.0443648i | |||||||||
1054.22 | + | 1732.52i | 0.464380 | + | 0.763171i | |||||
1537.16i | 0.605899i | 0.953007 | + | 0.302950i | ||||||
−0.953007 | + | 0.302950i | ||||||||
−5.72328 | − | 82.6758i | −0.00202823 | − | 0.0292988i | |||||
0 | 0 | |||||||||
4599.72 | − | 2798.88i | 1.33444 | − | 0.811989i | |||||
222.403 | 0.0587126 | |||||||||
−5565.76 | − | 2880.09i | −1.34162 | − | 0.694241i | |||||
3875.11i | 0.855636i | 0.903865 | + | 0.427818i | ||||||
−0.903865 | + | 0.427818i | ||||||||
0 | 0 | |||||||||
5182.92 | 0.968658 | 0.484329 | − | 0.874886i | ||||||
0.484329 | + | 0.874886i | ||||||||
5316.20 | + | 2300.52i | 0.917755 | + | 0.397147i | |||||
164.133i | 0.0262368i | |||||||||
−6179.41 | − | 10155.4i | −0.916748 | − | 1.50660i | |||||
0 | 0 | |||||||||
−3570.61 | + | 6900.19i | −0.459183 | + | 0.887371i | |||||
9494.97 | 1.14022 | 0.570111 | − | 0.821568i | ||||||
0.570111 | + | 0.821568i | ||||||||
8476.87 | + | 13931.0i | 0.952306 | + | 1.56504i | |||||
435.762 | 0.0458762 | |||||||||
0 | 0 | |||||||||
3802.93 | 0.353312 | 0.176656 | − | 0.984273i | ||||||
0.176656 | + | 0.984273i | ||||||||
−263.641 | − | 433.272i | −0.0230616 | − | 0.0378998i | |||||
4330.63 | 0.357174 | 0.178587 | − | 0.983924i | ||||||
0.178587 | + | 0.983924i | ||||||||
−10189.1 | − | 5272.49i | −0.793419 | − | 0.410567i | |||||
0 | 0 | |||||||||
−4520.08 | − | 7428.38i | −0.314957 | − | 0.517606i | |||||
12506.7i | 0.825842i | 0.910767 | + | 0.412921i | ||||||
−0.910767 | + | 0.412921i | ||||||||
270.769 | + | 382.703i | 0.0169627 | + | 0.0239750i | |||||
−21545.1 | −1.28191 | |||||||||
0 | 0 | |||||||||
− | 962.084i | − | 0.0517949i | |||||||
−13998.1 | + | 27051.3i | −0.717894 | + | 1.38733i | |||||
−25075.5 | −1.22620 | −0.613099 | − | 0.790006i | ||||||
−0.613099 | + | 0.790006i | ||||||||
−1074.77 | + | 653.983i | −0.0501568 | + | 0.0305198i | |||||
0 | 0 | |||||||||
35365.6 | − | 2448.21i | 1.50699 | − | 0.104323i | |||||
1319.78i | 0.0538039i | |||||||||
−11394.9 | − | 18726.5i | −0.444774 | − | 0.730950i | |||||
18453.8i | 0.690171i | 0.938571 | + | 0.345085i | ||||||
−0.938571 | + | 0.345085i | ||||||||
0 | 0 | |||||||||
17488.7i | 0.601774i | 0.953660 | + | 0.300887i | ||||||
−0.953660 | + | 0.300887i | ||||||||
−25046.6 | + | 15240.5i | −0.827502 | + | 0.503525i | |||||
47547.3i | 1.50930i | |||||||||
−32455.4 | + | 4515.13i | −0.990461 | + | 0.137791i | |||||
0 | 0 | |||||||||
−482.639 | − | 793.177i | −0.0136384 | − | 0.0224135i | |||||
7490.73 | 0.203862 | 0.101931 | − | 0.994791i | ||||||
0.101931 | + | 0.994791i | ||||||||
59724.3 | + | 30905.2i | 1.56631 | + | 0.810513i | |||||
− | 703.739i | − | 0.0177946i | |||||||
0 | 0 | |||||||||
1056.69 | 0.0248773 | 0.0124387 | − | 0.999923i | ||||||
0.0124387 | + | 0.999923i | ||||||||
−3035.19 | − | 43844.8i | −0.0690008 | − | 0.996752i | |||||
55286.5i | 1.21426i | 0.794602 | + | 0.607130i | ||||||
−0.794602 | + | 0.607130i | ||||||||
−45884.7 | + | 27920.3i | −0.974066 | + | 0.592707i | |||||
0 | 0 | |||||||||
−81929.3 | − | 42395.6i | −1.62707 | − | 0.841950i | |||||
−70210.1 | −1.34950 | |||||||||
−2105.83 | + | 1281.37i | −0.0391910 | + | 0.0238473i | |||||
−89387.0 | −1.61141 | −0.805706 | − | 0.592316i | ||||||
−0.805706 | + | 0.592316i | ||||||||
0 | 0 | |||||||||
58896.2 | 0.997413 | |||||||||
−18377.8 | + | 11182.6i | −0.301827 | + | 0.183658i | |||||
−103847. | −1.65462 | −0.827310 | − | 0.561746i | ||||||
−0.827310 | + | 0.561746i | ||||||||
2548.10 | + | 1318.55i | 0.0394020 | + | 0.0203891i | |||||
0 | 0 | |||||||||
−20927.8 | + | 12734.3i | −0.305125 | + | 0.185665i | |||||
− | 1774.09i | − | 0.0251291i | |||||||
64742.8 | − | 4481.86i | 0.891220 | − | 0.0616953i | |||||
38137.1 | 0.510355 | 0.255178 | − | 0.966894i | ||||||
0.255178 | + | 0.966894i | ||||||||
0 | 0 | |||||||||
186403.i | 2.35966i | |||||||||
43686.8 | + | 22606.4i | 0.538121 | + | 0.278459i | |||||
−2372.83 | −0.0284485 | |||||||||
−36776.3 | − | 60438.8i | −0.429287 | − | 0.705498i | |||||
0 | 0 | |||||||||
−2433.85 | − | 1053.22i | −0.0269535 | − | 0.0116638i | |||||
− | 22739.9i | − | 0.245391i | −0.992444 | − | 0.122696i | ||||
0.992444 | − | 0.122696i | ||||||||
104117. | − | 63354.2i | 1.09511 | − | 0.666362i | |||||
87043.5i | 0.892582i | |||||||||
0 | 0 | |||||||||
− | 52711.9i | − | 0.514168i | −0.966389 | − | 0.257084i | ||||
0.966389 | − | 0.257084i | ||||||||
2829.04 | + | 4649.29i | 0.0269239 | + | 0.0442473i | |||||
− | 38301.0i | − | 0.355727i | −0.984055 | − | 0.177863i | ||||
0.984055 | − | 0.177863i | ||||||||
−11899.0 | − | 171888.i | −0.107877 | − | 1.55834i | |||||
0 | 0 | |||||||||
121178. | − | 73735.4i | 1.04751 | − | 0.637399i | |||||
151431. | 1.27866 | 0.639329 | − | 0.768933i | ||||||
0.639329 | + | 0.768933i | ||||||||
3270.78 | − | 6320.77i | 0.0269831 | − | 0.0521448i | |||||
146420.i | 1.18041i | 0.807253 | + | 0.590206i | ||||||
−0.807253 | + | 0.590206i | ||||||||
0 | 0 | |||||||||
−4346.96 | −0.0334871 | |||||||||
−163706. | + | 115825.i | −1.23316 | + | 0.872482i | |||||
59368.9i | 0.437384i | 0.975794 | + | 0.218692i | ||||||
−0.975794 | + | 0.218692i | ||||||||
−3880.85 | − | 6377.86i | −0.0279682 | − | 0.0459635i | |||||
0 | 0 | |||||||||
110132. | + | 56989.5i | 0.759921 | + | 0.393233i | |||||
231094. | 1.56072 | |||||||||
−54264.1 | − | 89178.6i | −0.358763 | − | 0.589597i | |||||
411544. | 2.66409 | |||||||||
0 | 0 | |||||||||
32519.6 | 0.201921 | |||||||||
−51426.1 | − | 84514.6i | −0.312812 | − | 0.514082i | |||||
−1741.05 | −0.0103764 | |||||||||
76222.9 | − | 147300.i | 0.445175 | − | 0.860300i | |||||
0 | 0 | |||||||||
−139814. | − | 229774.i | −0.784559 | − | 1.28936i | |||||
− | 13242.9i | − | 0.0728577i | −0.999336 | − | 0.0364288i | ||||
0.999336 | − | 0.0364288i | ||||||||
143565. | − | 117256.i | 0.774503 | − | 0.632571i | |||||
−1982.63 | −0.0104898 | |||||||||
0 | 0 | |||||||||
− | 29434.9i | − | 0.149860i | −0.997189 | − | 0.0749298i | ||||
0.997189 | − | 0.0749298i | ||||||||
4664.72 | + | 2413.83i | 0.0233019 | + | 0.0120579i | |||||
−564553. | −2.76742 | |||||||||
−36199.1 | + | 22026.7i | −0.174155 | + | 0.105971i | |||||
0 | 0 | |||||||||
−379497. | + | 26270.9i | −1.75938 | + | 0.121795i | |||||
− | 226821.i | − | 1.03248i | −0.856443 | − | 0.516241i | ||||
0.856443 | − | 0.516241i | ||||||||
2069.37 | + | 3400.84i | 0.00924996 | + | 0.0152016i | |||||
− | 206068.i | − | 0.904637i | −0.891856 | − | 0.452319i | ||||
0.891856 | − | 0.452319i | ||||||||
0 | 0 | |||||||||
− | 5725.76i | − | 0.0242541i | |||||||
−5106.50 | + | 3107.24i | −0.0212521 | + | 0.0129317i | |||||
341242.i | 1.39548i | |||||||||
143595. | + | 202956.i | 0.577075 | + | 0.815635i | |||||
0 | 0 | |||||||||
−162572. | − | 267173.i | −0.631194 | − | 1.03732i | |||||
9863.72 | 0.0376485 | |||||||||
139638. | − | 269851.i | 0.524023 | − | 1.01267i | |||||
276062.i | 1.01869i | 0.860563 | + | 0.509344i | ||||||
−0.860563 | + | 0.509344i | ||||||||
0 | 0 | |||||||||
−88898.4 | −0.317287 | −0.158643 | − | 0.987336i | ||||||
−0.158643 | + | 0.987336i | ||||||||
520591. | − | 36038.2i | 1.82763 | − | 0.126519i | |||||
− | 510215.i | − | 1.76207i | |||||||
339292. | − | 206455.i | 1.15285 | − | 0.701493i | |||||
0 | 0 | |||||||||
6408.55 | − | 12384.5i | 0.0210838 | − | 0.0407444i | |||||
−273937. | −0.886954 | −0.443477 | − | 0.896286i | ||||||
−0.443477 | + | 0.896286i | ||||||||
431965. | − | 262845.i | 1.37659 | − | 0.837640i | |||||
11480.0 | 0.0360122 | |||||||||
0 | 0 | |||||||||
301034. | 0.915272 | |||||||||
−284617. | + | 173186.i | −0.852067 | + | 0.518473i | |||||
22520.3 | 0.0663902 | 0.0331951 | − | 0.999449i | ||||||
0.0331951 | + | 0.999449i | ||||||||
55928.0 | − | 108081.i | 0.162375 | − | 0.313790i | |||||
0 | 0 | |||||||||
501842. | − | 305365.i | 1.41350 | − | 0.860100i | |||||
4216.06i | 0.0116981i | 0.999983 | + | 0.00584906i | ||||||
−0.999983 | + | 0.00584906i | ||||||||
−16191.0 | + | 1120.83i | −0.0442588 | + | 0.00306385i | |||||
534680. | 1.44005 | |||||||||
0 | 0 | |||||||||
699908.i | 1.83042i | |||||||||
63688.6 | − | 123078.i | 0.164150 | − | 0.317219i | |||||
−240365. | −0.610599 | −0.305299 | − | 0.952256i | ||||||
−0.305299 | + | 0.952256i | ||||||||
5216.76 | + | 8573.32i | 0.0130626 | + | 0.0214672i | |||||
0 | 0 | |||||||||
−299692. | + | 212037.i | −0.729279 | + | 0.515976i | |||||
− | 8448.47i | − | 0.0202696i | |||||||
−184298. | + | 112143.i | −0.435985 | + | 0.265292i | |||||
245501.i | 0.572691i | 0.958126 | + | 0.286346i | ||||||
−0.958126 | + | 0.286346i | ||||||||
0 | 0 | |||||||||
16588.7i | 0.0376370i | 0.999823 | + | 0.0188185i | ||||||
−0.999823 | + | 0.0188185i | ||||||||
−548123. | − | 900796.i | −1.22659 | − | 2.01580i | |||||
− | 8006.62i | − | 0.0176735i | |||||||
−277592. | + | 19216.5i | −0.604453 | + | 0.0418436i | |||||
0 | 0 | |||||||||
11466.7 | − | 6977.37i | 0.0243029 | − | 0.0147880i | |||||
753401. | 1.57551 | |||||||||
355444. | + | 183930.i | 0.733461 | + | 0.379540i | |||||
− | 43554.7i | − | 0.0886912i | |||||||
0 | 0 | |||||||||
−555884. | −1.10256 | −0.551278 | − | 0.834322i | ||||||
−0.551278 | + | 0.834322i | ||||||||
14858.6 | − | 2067.10i | 0.0290888 | − | 0.00404678i | |||||
397154.i | 0.767477i | 0.923442 | + | 0.383738i | ||||||
−0.923442 | + | 0.383738i | ||||||||
66867.3 | + | 109891.i | 0.127559 | + | 0.209632i | |||||
0 | 0 | |||||||||
−316855. | + | 612321.i | −0.589142 | + | 1.13852i | |||||
−722243. | −1.32592 | −0.662961 | − | 0.748654i | ||||||
−0.662961 | + | 0.748654i | ||||||||
−255954. | − | 420640.i | −0.463980 | − | 0.762513i | |||||
129890. | 0.232511 | 0.116256 | − | 0.993219i | ||||||
0.116256 | + | 0.993219i | ||||||||
0 | 0 | |||||||||
−3429.38 | −0.00598722 | |||||||||
155001. | + | 254732.i | 0.267274 | + | 0.439242i | |||||
758890. | 1.29252 | |||||||||
−27342.8 | − | 14148.9i | −0.0460010 | − | 0.0238039i | |||||
0 | 0 | |||||||||
112625. | + | 185090.i | 0.184913 | + | 0.303889i | |||||
− | 373209.i | − | 0.605377i | |||||||
562943. | + | 795661.i | 0.902207 | + | 1.27518i | |||||
−1.03351e6 | −1.63662 | |||||||||
0 | 0 | |||||||||
608872.i | 0.941499i | 0.882267 | + | 0.470749i | ||||||
−0.882267 | + | 0.470749i | ||||||||
−368775. | + | 712656.i | −0.563536 | + | 1.08903i | |||||
−483.772 | −0.000730620 | |||||||||
−731792. | + | 445287.i | −1.09233 | + | 0.664669i | |||||
0 | 0 | |||||||||
2780.32 | + | 40163.1i | 0.00405471 | + | 0.0585724i | |||||
− | 1.01501e6i | − | 1.46325i | |||||||
−430552. | − | 707577.i | −0.613598 | − | 1.00840i | |||||
− | 25311.1i | − | 0.0356615i | |||||||
0 | 0 | |||||||||
− | 2.00023e6i | − | 2.75485i | |||||||
21006.8 | − | 12782.4i | 0.0286073 | − | 0.0174072i | |||||
− | 22540.8i | − | 0.0303534i | −0.999885 | − | 0.0151767i | ||||
0.999885 | − | 0.0151767i | ||||||||
450528. | − | 1.04111e6i | 0.599931 | − | 1.38636i | |||||
0 | 0 | |||||||||
−174576. | − | 286901.i | −0.227360 | − | 0.373647i | |||||
−150889. | −0.194354 | −0.0971770 | − | 0.995267i | ||||||
−0.0971770 | + | 0.995267i | ||||||||
37508.6 | + | 19409.4i | 0.0477852 | + | 0.0247272i | |||||
724516.i | 0.912976i | 0.889730 | + | 0.456488i | ||||||
−0.889730 | + | 0.456488i | ||||||||
0 | 0 | |||||||||
32143.3 | 0.0396334 | |||||||||
−699795. | + | 48443.7i | −0.853593 | + | 0.0590905i | |||||
− | 336561.i | − | 0.406138i | −0.979164 | − | 0.203069i | ||||
0.979164 | − | 0.203069i | ||||||||
−1.11677e6 | + | 679540.i | −1.33329 | + | 0.811289i | |||||
0 | 0 | |||||||||
524465. | + | 271392.i | 0.612966 | + | 0.317188i | |||||
40922.8 | 0.0473255 | |||||||||
−1.98879e6 | + | 1.21016e6i | −2.27587 | + | 1.38484i | |||||
−330500. | −0.374262 | −0.187131 | − | 0.982335i | ||||||
−0.187131 | + | 0.982335i | ||||||||
0 | 0 | |||||||||
900033. | 0.998196 | 0.499098 | − | 0.866546i | ||||||
0.499098 | + | 0.866546i | ||||||||
−157152. | + | 95624.9i | −0.172497 | + | 0.104962i | |||||
−81007.6 | −0.0880055 | |||||||||
497036. | + | 257199.i | 0.534457 | + | 0.276563i | |||||
0 | 0 | |||||||||
8413.64 | − | 5119.60i | 0.00886433 | − | 0.00539384i | |||||
2.74389e6i | 2.86171i | |||||||||
64793.0 | + | 935969.i | 0.0668958 | + | 0.966345i | |||||
47542.8 | 0.0485944 | |||||||||
0 | 0 | |||||||||
963725.i | 0.965537i | 0.875748 | + | 0.482768i | ||||||
−0.875748 | + | 0.482768i | ||||||||
1.35131e6 | + | 699257.i | 1.34046 | + | 0.693643i | |||||
551093. | 0.541282 | |||||||||
38941.3 | + | 63996.8i | 0.0378727 | + | 0.0622406i | |||||
0 | 0 | |||||||||
−348986. | + | 988798.i | −0.332819 | + | 0.942991i | |||||
1.50847e6i | 1.42463i | 0.701857 | + | 0.712317i | ||||||
−0.701857 | + | 0.712317i | ||||||||
9581.11 | − | 5829.99i | 0.00896121 | − | 0.00545279i | |||||
− | 1.85947e6i | − | 1.72242i | |||||||
0 | 0 | |||||||||
− | 940839.i | − | 0.854898i | |||||||
86554.3 | + | 142245.i | 0.0778997 | + | 0.128022i | |||||
721202.i | 0.642936i | 0.946920 | + | 0.321468i | ||||||
−0.946920 | + | 0.321468i | ||||||||
−29640.3 | + | 2051.87i | −0.0261742 | + | 0.00181192i | |||||
0 | 0 | |||||||||
2.72821e6 | − | 1.66008e6i | 2.36415 | − | 1.43855i | |||||
−17459.8 | −0.0149886 | |||||||||
110163. | − | 212889.i | 0.0936910 | − | 0.181058i | |||||
− | 1.43076e6i | − | 1.20556i | −0.797909 | − | 0.602778i | ||||
0.797909 | − | 0.602778i | ||||||||
0 | 0 | |||||||||
−1.94059e6 | −1.60514 | −0.802568 | − | 0.596561i | ||||||
−0.802568 | + | 0.596561i | ||||||||
1.75668e6 | − | 1.24288e6i | 1.43969 | − | 1.01861i | |||||
− | 85338.3i | − | 0.0693007i | |||||||
666975. | + | 1.09612e6i | 0.536702 | + | 0.882026i | |||||
0 | 0 | |||||||||
−20000.5 | − | 10349.6i | −0.0158041 | − | 0.00817805i | |||||
−1.71081e6 | −1.33968 | −0.669842 | − | 0.742504i | ||||||
−0.669842 | + | 0.742504i | ||||||||
605951. | + | 995830.i | 0.470246 | + | 0.772811i | |||||
−1.25836e6 | −0.967822 | |||||||||
0 | 0 | |||||||||
1.44573e6 | 1.09225 | 0.546126 | − | 0.837703i | ||||||
0.546126 | + | 0.837703i | ||||||||
16836.8 | + | 27669.9i | 0.0126077 | + | 0.0207197i | |||||
1.07186e6 | 0.795555 | 0.397777 | − | 0.917482i | ||||||
0.397777 | + | 0.917482i | ||||||||
15540.3 | − | 30031.6i | 0.0114331 | − | 0.0220944i | |||||
0 | 0 | |||||||||
−1.00343e6 | − | 1.64906e6i | −0.725393 | − | 1.19212i | |||||
− | 744755.i | − | 0.533714i | |||||||
−1.29072e6 | − | 558545.i | −0.916963 | − | 0.396805i | |||||
−2.99628e6 | −2.11027 | |||||||||
0 | 0 | |||||||||
10410.7i | 0.00720688i | |||||||||
1.57126e6 | + | 813073.i | 1.07843 | + | 0.558049i | |||||
−176850. | −0.120347 | −0.0601735 | − | 0.998188i | ||||||
−0.0601735 | + | 0.998188i | ||||||||
−47666.7 | + | 29004.6i | −0.0321622 | + | 0.0195703i | |||||
0 | 0 | |||||||||
118699. | + | 1.71467e6i | 0.0787442 | + | 1.13750i | |||||
− | 79734.3i | − | 0.0524510i | |||||||
−811769. | − | 1.33408e6i | −0.529532 | − | 0.870242i | |||||
− | 1.46311e6i | − | 0.946455i | |||||||
0 | 0 | |||||||||
− | 848097.i | − | 0.539547i | |||||||
429604. | − | 261409.i | 0.271051 | − | 0.164931i | |||||
24132.4i | 0.0151006i | |||||||||
−2.40979e6 | + | 1.70497e6i | −1.49553 | + | 1.05811i | |||||
0 | 0 | |||||||||
1.50030e6 | + | 2.46562e6i | 0.915957 | + | 1.50530i | |||||
2.76503e6 | 1.67438 | 0.837189 | − | 0.546914i | ||||||
0.837189 | + | 0.546914i | ||||||||
−1.03255e6 | + | 1.99540e6i | −0.620202 | + | 1.19854i | |||||
17534.8i | 0.0104473i | |||||||||
0 | 0 | |||||||||
748055. | 0.438564 | 0.219282 | − | 0.975662i | ||||||
0.219282 | + | 0.975662i | ||||||||
5447.57 | + | 78693.0i | 0.00316823 | + | 0.0457667i | |||||
− | 2.84259e6i | − | 1.64003i | −0.572340 | − | 0.820017i | ||||
0.572340 | − | 0.820017i | ||||||||
1.32381e6 | − | 805520.i | 0.757705 | − | 0.461054i | |||||
0 | 0 | |||||||||
−1.31457e6 | + | 2.54041e6i | −0.740572 | + | 1.43115i | |||||
−97492.6 | −0.0544908 | −0.0272454 | − | 0.999629i | ||||||
−0.0272454 | + | 0.999629i | ||||||||
−55477.4 | + | 33757.3i | −0.0307644 | + | 0.0187197i | |||||
1.38928e6 | 0.764384 | |||||||||
0 | 0 | |||||||||
−69327.5 | −0.0375528 | |||||||||
−1.45475e6 | + | 885199.i | −0.781896 | + | 0.475774i | |||||
6.05802e6 | 3.23091 | |||||||||
866161. | − | 1.67385e6i | 0.458391 | − | 0.885839i | |||||
0 | 0 | |||||||||
−108830. | + | 66221.5i | −0.0567157 | + | 0.0345108i | |||||
− | 67033.4i | − | 0.0346674i | |||||||
47541.4 | + | 686761.i | 0.0243999 | + | 0.352469i | |||||
2.44927e6 | 1.24752 | |||||||||
0 | 0 | |||||||||
− | 2.71471e6i | − | 1.36193i | −0.732317 | − | 0.680964i | ||||
0.732317 | − | 0.680964i | ||||||||
−1.52723e6 | + | 2.95137e6i | −0.760429 | + | 1.46953i | |||||
−2.30529e6 | −1.13924 | |||||||||
−12397.5 | − | 20374.2i | −0.00608089 | − | 0.00999344i | |||||
0 | 0 | |||||||||
74947.4 | − | 53026.5i | 0.0362167 | − | 0.0256239i | |||||
− | 495886.i | − | 0.237852i | −0.992903 | − | 0.118926i | ||||
0.992903 | − | 0.118926i | ||||||||
−2.58385e6 | + | 1.57224e6i | −1.23020 | + | 0.748563i | |||||
− | 27180.0i | − | 0.0128455i | |||||||
0 | 0 | |||||||||
− | 1.85814e6i | − | 0.865353i | |||||||
−2.05810e6 | − | 3.38232e6i | −0.951484 | − | 1.56369i | |||||
927903.i | 0.425860i | |||||||||
54138.3 | + | 782055.i | 0.0246665 | + | 0.356321i | |||||
0 | 0 | |||||||||
1.16157e6 | − | 706801.i | 0.521621 | − | 0.317400i | |||||
−3.14504e6 | −1.40217 | −0.701087 | − | 0.713076i | ||||||
−0.701087 | + | 0.713076i | ||||||||
−50420.3 | − | 26090.7i | −0.0223181 | − | 0.0115488i | |||||
2.62573e6i | 1.15395i | 0.816762 | + | 0.576975i | ||||||
−0.816762 | + | 0.576975i | ||||||||
0 | 0 | |||||||||
−211689. | −0.0917129 | |||||||||
824767. | − | 1.90593e6i | 0.354793 | − | 0.819879i | |||||
− | 536996.i | − | 0.229369i | −0.993402 | − | 0.114684i | ||||
0.993402 | − | 0.114684i | ||||||||
24843.0 | + | 40827.4i | 0.0105365 | + | 0.0173159i | |||||
0 | 0 | |||||||||
560865. | − | 1.08387e6i | 0.234549 | − | 0.453265i | |||||
−188412. | −0.0782415 | |||||||||
−721903. | − | 1.18639e6i | −0.297695 | − | 0.489237i | |||||
369981. | 0.151511 | 0.0757553 | − | 0.997126i | ||||||
0.0757553 | + | 0.997126i | ||||||||
0 | 0 | |||||||||
−5.83425e6 | −2.35623 | |||||||||
−48779.5 | − | 80165.2i | −0.0195644 | − | 0.0321525i | |||||
−14888.0 | −0.00593021 | |||||||||
5.29764e6 | + | 2.74134e6i | 2.09570 | + | 1.08445i | |||||
0 | 0 | |||||||||
23543.7 | + | 38692.2i | 0.00918697 | + | 0.0150980i | |||||
1.41712e6i | 0.549214i | 0.961557 | + | 0.274607i | ||||||
−0.961557 | + | 0.274607i | ||||||||
1.28496e6 | − | 909132.i | 0.494619 | − | 0.349951i | |||||
−923315. | −0.353008 | |||||||||
0 | 0 | |||||||||
4.91072e6i | 1.85230i | |||||||||
−34896.1 | + | 67436.6i | −0.0130743 | + | 0.0252661i | |||||
2.16053e6 | 0.804060 | 0.402030 | − | 0.915626i | ||||||
0.402030 | + | 0.915626i | ||||||||
−3.64083e6 | + | 2.21540e6i | −1.34592 | + | 0.818979i | |||||
0 | 0 | |||||||||
−2.25854e6 | + | 156349.i | −0.823871 | + | 0.0570330i | |||||
− | 3.68843e6i | − | 1.33656i | |||||||
128074. | + | 210479.i | 0.0461033 | + | 0.0757669i | |||||
1.60069e6i | 0.572412i | 0.958168 | + | 0.286206i | ||||||
−0.958168 | + | 0.286206i | ||||||||
0 | 0 | |||||||||
6062.84i | 0.00213975i | |||||||||
2.68632e6 | − | 1.63459e6i | 0.941888 | − | 0.573128i | |||||
− | 3.07943e6i | − | 1.07269i | −0.844000 | − | 0.536344i | ||||
0.844000 | − | 0.536344i | ||||||||
−65726.3 | + | 53681.6i | −0.0227463 | + | 0.0185779i | |||||
0 | 0 | |||||||||
−1.16784e6 | − | 1.91925e6i | −0.398948 | − | 0.655638i | |||||
−1.05143e6 | −0.356866 | |||||||||
−646276. | − | 334425.i | −0.217941 | − | 0.112777i | |||||
− | 2.71294e6i | − | 0.909006i | −0.890745 | − | 0.454503i | ||||
0.890745 | − | 0.454503i | ||||||||
0 | 0 | |||||||||
−3.23029e6 | −1.06856 | |||||||||
−269341. | − | 3.89078e6i | −0.0885295 | − | 1.27885i | |||||
13475.8i | 0.00440122i | |||||||||
3.49026e6 | − | 2.12378e6i | 1.13270 | − | 0.689237i | |||||
0 | 0 | |||||||||
2.47381e6 | + | 1.28011e6i | 0.792735 | + | 0.410213i | |||||
−4.05795e6 | −1.29220 | −0.646101 | − | 0.763252i | ||||||
−0.646101 | + | 0.763252i | ||||||||
−627698. | + | 381947.i | −0.198629 | + | 0.120863i | |||||
258462. | 0.0812762 | |||||||||
0 | 0 | |||||||||
5.22811e6 | 1.62362 | 0.811809 | − | 0.583923i | ||||||
0.811809 | + | 0.583923i | ||||||||
16572.5 | − | 10084.2i | 0.00511475 | − | 0.00311226i | |||||
−4.93324e6 | −1.51311 | |||||||||
−1.49809e6 | − | 775210.i | −0.456652 | − | 0.236301i | |||||
0 | 0 | |||||||||
−3.66735e6 | + | 2.23154e6i | −1.10417 | + | 0.671876i | |||||
− | 3.40407e6i | − | 1.01862i | |||||||
173740. | − | 12027.3i | 0.0516713 | − | 0.00357698i | |||||
1.89554e6 | 0.560306 | 0.280153 | − | 0.959955i | ||||||
0.280153 | + | 0.959955i | ||||||||
0 | 0 | |||||||||
103843.i | 0.0303229i | |||||||||
−1.08853e6 | − | 563275.i | −0.315934 | − | 0.163485i | |||||
3.61394e6 | 1.04257 | |||||||||
1.09743e6 | + | 1.80354e6i | 0.314685 | + | 0.517160i | |||||
0 | 0 | |||||||||
−5.06010e6 | − | 2.18970e6i | −1.43359 | − | 0.620370i | |||||
94341.5i | 0.0265682i | |||||||||
4.99445e6 | − | 3.03907e6i | 1.39813 | − | 0.850745i | |||||
− | 663430.i | − | 0.184612i | −0.995731 | − | 0.0923060i | ||||
0.995731 | − | 0.0923060i | ||||||||
0 | 0 | |||||||||
− | 1.14330e6i | − | 0.314381i | −0.987568 | − | 0.157190i | ||||
0.987568 | − | 0.157190i | ||||||||
−1.79041e6 | − | 2.94239e6i | −0.489407 | − | 0.804301i | |||||
− | 3.03650e6i | − | 0.825130i | |||||||
−313476. | − | 4.52832e6i | −0.0846817 | − | 1.22327i | |||||
0 | 0 | |||||||||
2337.84 | − | 1422.55i | 0.000624153 | − | 0.000379789i | |||||
3.42494e6 | 0.909040 | |||||||||
2.22702e6 | − | 4.30372e6i | 0.587645 | − | 1.13562i | |||||
− | 156226.i | − | 0.0409837i | |||||||
0 | 0 | |||||||||
559165. | 0.144993 | 0.0724964 | − | 0.997369i | ||||||
0.0724964 | + | 0.997369i | ||||||||
−131537. | − | 185914.i | −0.0339108 | − | 0.0479294i | |||||
4.04780e6i | 1.03753i | 0.854918 | + | 0.518764i | ||||||
−0.854918 | + | 0.518764i | ||||||||
2.98466e6 | + | 4.90505e6i | 0.760625 | + | 1.25003i | |||||
0 | 0 | |||||||||
4.16130e6 | + | 2.15333e6i | 1.04837 | + | 0.542493i | |||||
4.43129e6 | 1.11001 | |||||||||
74428.0 | + | 122316.i | 0.0185375 | + | 0.0304649i | |||||
4.17879e6 | 1.03488 | 0.517439 | − | 0.855720i | ||||||
0.517439 | + | 0.855720i | ||||||||
0 | 0 | |||||||||
5.23095e6 | 1.28081 | |||||||||
5.88173e6 | + | 9.66614e6i | 1.43202 | + | 2.35341i | |||||
−6.19142e6 | −1.49893 | −0.749464 | − | 0.662045i | ||||||
−0.749464 | + | 0.662045i | ||||||||
−63928.7 | + | 123542.i | −0.0153900 | + | 0.0297411i | |||||
0 | 0 | |||||||||
66281.9 | + | 108929.i | 0.0157782 | + | 0.0259302i | |||||
− | 126386.i | − | 0.0299178i | |||||||
884230. | + | 6.35598e6i | 0.208147 | + | 1.49619i | |||||
3.11618e6 | 0.729469 | 0.364735 | − | 0.931111i | ||||||
0.364735 | + | 0.931111i | ||||||||
0 | 0 | |||||||||
− | 1.36340e6i | − | 0.315633i | |||||||
1.68728e6 | + | 873111.i | 0.388456 | + | 0.201013i | |||||
40699.2 | 0.00931837 | |||||||||
729175. | − | 443694.i | 0.166032 | − | 0.101029i | |||||
0 | 0 | |||||||||
−238335. | + | 16498.9i | −0.0536755 | + | 0.00371572i | |||||
4.44694e6i | 0.996026i | 0.867170 | + | 0.498013i | ||||||
−0.867170 | + | 0.498013i | ||||||||
−2.13046e6 | − | 3.50124e6i | −0.474581 | − | 0.779934i | |||||
467371.i | 0.103545i | |||||||||
0 | 0 | |||||||||
7.51985e6i | 1.64800i | 0.566590 | + | 0.824000i | ||||||
−0.566590 | + | 0.824000i | ||||||||
−155333. | + | 94518.5i | −0.0338579 | + | 0.0206021i | |||||
4.34253e6i | 0.941434i | 0.882284 | + | 0.470717i | ||||||
−0.882284 | + | 0.470717i | ||||||||
3.23932e6 | − | 2.29187e6i | 0.698489 | − | 0.494192i | |||||
0 | 0 | |||||||||
989668. | + | 1.62644e6i | 0.211118 | + | 0.346955i | |||||
890290. | 0.188903 | 0.0944515 | − | 0.995529i | ||||||
0.0944515 | + | 0.995529i | ||||||||
3.39860e6 | − | 6.56779e6i | 0.717274 | − | 1.38613i | |||||
− | 1.46696e6i | − | 0.307955i | |||||||
0 | 0 | |||||||||
125413. | 0.0260489 | |||||||||
−3.33253e6 | + | 230696.i | −0.688523 | + | 0.0476634i | |||||
− | 1.55258e6i | − | 0.319082i | |||||||
−197761. | + | 120335.i | −0.0404291 | + | 0.0246006i | |||||
0 | 0 | |||||||||
6.05239e6 | − | 1.16962e7i | 1.22436 | − | 2.36607i | |||||
6.08810e6 | 1.22514 | |||||||||
1.59715e6 | − | 971844.i | 0.319724 | − | 0.194548i | |||||
−3.93305e6 | −0.783233 | −0.391617 | − | 0.920128i | ||||||
−0.391617 | + | 0.920128i | ||||||||
0 | 0 | |||||||||
−9.03757e6 | −1.78110 | |||||||||
−4.34943e6 | + | 2.64657e6i | −0.852736 | + | 0.518879i | |||||
−137818. | −0.0268806 | |||||||||
478251. | − | 924219.i | 0.0927988 | − | 0.179333i | |||||
0 | 0 | |||||||||
391471. | − | 238205.i | 0.0751811 | − | 0.0457468i | |||||
− | 3.91119e6i | − | 0.747286i | −0.927573 | − | 0.373643i | ||||
0.927573 | − | 0.373643i | ||||||||
−3.15824e6 | + | 218631.i | −0.600337 | + | 0.0415587i | |||||
−10310.1 | −0.00194981 | |||||||||
0 | 0 | |||||||||
− | 4.43336e6i | − | 0.829907i | −0.909843 | − | 0.414954i | ||||
0.909843 | − | 0.414954i | ||||||||
−25604.8 | + | 49481.1i | −0.00476879 | + | 0.00921567i | |||||
−8.14339e6 | −1.50900 | |||||||||
−8.06851e6 | − | 1.32599e7i | −1.48756 | − | 2.44469i | |||||
0 | 0 | |||||||||
−3.06536e6 | − | 4.33256e6i | −0.559470 | − | 0.790753i | |||||
− | 206940.i | − | 0.0375797i | |||||||
−229752. | + | 139801.i | −0.0415131 | + | 0.0252602i | |||||
4.84134e6i | 0.870391i | 0.900336 | + | 0.435196i | ||||||
−0.900336 | + | 0.435196i | ||||||||
0 | 0 | |||||||||
− | 1930.18i | − | 0.000343561i | |||||||
−2.83386e6 | − | 4.65722e6i | −0.501903 | − | 0.824836i | |||||
1.68379e6i | 0.296735i | 0.988932 | + | 0.148367i | ||||||
−0.988932 | + | 0.148367i | ||||||||
−8.58644e6 | + | 594402.i | −1.50569 | + | 0.104233i | |||||
0 | 0 | |||||||||
−2.66317e6 | + | 1.62051e6i | −0.462405 | + | 0.281368i | |||||
−244786. | −0.0422927 | |||||||||
−376369. | − | 194758.i | −0.0647075 | − | 0.0334839i | |||||
9.81220e6i | 1.67869i | 0.543595 | + | 0.839347i | ||||||
−0.543595 | + | 0.839347i | ||||||||
0 | 0 | |||||||||
1.08271e7 | 1.83426 | |||||||||
−1.22111e6 | − | 5.80459e6i | −0.205864 | − | 0.978581i | |||||
− | 641136.i | − | 0.107561i | |||||||
−4.43570e6 | − | 7.28971e6i | −0.740550 | − | 1.21703i | |||||
0 | 0 | |||||||||
−29157.7 | + | 56347.1i | −0.00482091 | + | 0.00931639i | |||||
4.48380e6 | 0.737768 | |||||||||
5.46782e6 | + | 8.98592e6i | 0.895344 | + | 1.47142i | |||||
110043. | 0.0179326 | |||||||||
0 | 0 | |||||||||
−2.02601e6 | −0.327000 | −0.163500 | − | 0.986543i | ||||||
−0.163500 | + | 0.986543i | ||||||||
2.76657e6 | + | 4.54663e6i | 0.444391 | + | 0.730320i | |||||
402702. | 0.0643768 | 0.0321884 | − | 0.999482i | ||||||
0.0321884 | + | 0.999482i | ||||||||
−836551. | − | 432886.i | −0.133096 | − | 0.0688724i | |||||
0 | 0 | |||||||||
−2.12072e6 | − | 3.48523e6i | −0.334209 | − | 0.549245i | |||||
1.08917e7i | 1.70832i | |||||||||
137204. | − | 97074.0i | 0.0214181 | − | 0.0151537i | |||||
4.07347e6 | 0.632886 | |||||||||
0 | 0 | |||||||||
− | 4.48041e6i | − | 0.689575i | |||||||
−8.30262e6 | + | 1.60448e7i | −1.27185 | + | 2.45785i | |||||
−3.61973e6 | −0.551897 | |||||||||
84374.9 | − | 51341.1i | 0.0128044 | − | 0.00779134i | |||||
0 | 0 | |||||||||
93643.5 | + | 1.35273e6i | 0.0140788 | + | 0.203376i | |||||
− | 112394.i | − | 0.0168193i | |||||||
4.20721e6 | + | 6.91420e6i | 0.626669 | + | 1.02988i | |||||
7.72421e6i | 1.14520i | |||||||||
0 | 0 | |||||||||
8.47881e6i | 1.24549i | 0.782423 | + | 0.622747i | ||||||
−0.782423 | + | 0.622747i | ||||||||
9.37797e6 | − | 5.70638e6i | 1.37123 | − | 0.834377i | |||||
− | 7594.57i | − | 0.00110536i | |||||||
−4.83446e6 | + | 1.11718e7i | −0.700407 | + | 1.61855i | |||||
0 | 0 | |||||||||
250940. | + | 412399.i | 0.0360237 | + | 0.0592020i | |||||
−7.10206e6 | −1.01488 | −0.507441 | − | 0.861686i | ||||||
−0.507441 | + | 0.861686i | ||||||||
−6.44634e6 | − | 3.33576e6i | −0.916985 | − | 0.474508i | |||||
− | 4.24609e6i | − | 0.601255i | |||||||
0 | 0 | |||||||||
1.11710e7 | 1.56752 | |||||||||
127086. | − | 8797.63i | 0.0177521 | − | 0.00122890i | |||||
1.75053e7i | 2.43420i | |||||||||
8.26753e6 | − | 5.03069e6i | 1.14446 | − | 0.696391i | |||||
0 | 0 | |||||||||
−5.85654e6 | − | 3.03055e6i | −0.803441 | − | 0.415753i | |||||
−2.42337e6 | −0.330965 | −0.165482 | − | 0.986213i | ||||||
−0.165482 | + | 0.986213i | ||||||||
6.08107e6 | − | 3.70026e6i | 0.826788 | − | 0.503091i | |||||
−4.12200e6 | −0.557929 | |||||||||
0 | 0 | |||||||||
−344919. | −0.0462712 | |||||||||
−6.98655e6 | + | 4.25123e6i | −0.933086 | + | 0.567772i | |||||
−1.03666e7 | −1.37837 | −0.689184 | − | 0.724586i | ||||||
−0.689184 | + | 0.724586i | ||||||||
−162728. | − | 84206.2i | −0.0215410 | − | 0.0111467i | |||||
0 | 0 | |||||||||
−5.17976e6 | + | 3.15182e6i | −0.679624 | + | 0.413543i | |||||
− | 1.15341e7i | − | 1.50669i | |||||||
13210.0 | + | 190825.i | 0.00171804 | + | 0.0248179i | |||||
−1.33323e7 | −1.72633 | −0.863165 | − | 0.504921i | ||||||
−0.863165 | + | 0.504921i | ||||||||
0 | 0 | |||||||||
4.77970e6i | 0.613494i | 0.951791 | + | 0.306747i | ||||||
−0.951791 | + | 0.306747i | ||||||||
9.69822e6 | + | 5.01849e6i | 1.23937 | + | 0.641332i | |||||
254493. | 0.0323809 | |||||||||
2.18997e6 | + | 3.59904e6i | 0.277434 | + | 0.455940i | |||||
0 | 0 | |||||||||
7.87987e6 | − | 1.09623e6i | 0.989607 | − | 0.137672i | |||||
5.73641e6i | 0.717300i | 0.933472 | + | 0.358650i | ||||||
−0.933472 | + | 0.358650i | ||||||||
1.44796e7 | − | 8.81066e6i | 1.80276 | − | 1.09695i | |||||
− | 181823.i | − | 0.0225400i | |||||||
0 | 0 | |||||||||
2.03371e7i | 2.49947i | |||||||||
−30613.0 | − | 50309.9i | −0.00374626 | − | 0.00615667i | |||||
8.98990e6i | 1.09543i | |||||||||
−9.98403e6 | + | 691151.i | −1.21136 | + | 0.0838572i | |||||
0 | 0 | |||||||||
854630. | − | 520032.i | 0.102810 | − | 0.0625585i | |||||
−5.32016e6 | −0.637279 | −0.318639 | − | 0.947876i | ||||||
−0.318639 | + | 0.947876i | ||||||||
145061. | − | 280331.i | 0.0173025 | − | 0.0334370i | |||||
− | 1.49412e7i | − | 1.77458i | |||||||
0 | 0 | |||||||||
330655. | 0.0389409 | |||||||||
−5.61566e6 | − | 7.93714e6i | −0.658562 | − | 0.930808i | |||||
− | 828623.i | − | 0.0967654i | −0.998829 | − | 0.0483827i | ||||
0.998829 | − | 0.0483827i | ||||||||
234461. | + | 385318.i | 0.0272650 | + | 0.0448077i | |||||
0 | 0 | |||||||||
7.84578e6 | + | 4.05992e6i | 0.904734 | + | 0.468168i | |||||
−59465.9 | −0.00682861 | |||||||||
4.30233e6 | + | 7.07053e6i | 0.491984 | + | 0.808535i | |||||
−5.87196e6 | −0.668676 | −0.334338 | − | 0.942453i | ||||||
−0.334338 | + | 0.942453i | ||||||||
0 | 0 | |||||||||
3.38777e6 | 0.382584 | 0.191292 | − | 0.981533i | ||||||
0.191292 | + | 0.981533i | ||||||||
2.49386e6 | + | 4.09845e6i | 0.280466 | + | 0.460923i | |||||
−1.81868e6 | −0.203686 | |||||||||
−1.30739e6 | + | 2.52653e6i | −0.145818 | + | 0.281794i | |||||
0 | 0 | |||||||||
−70962.0 | − | 116620.i | −0.00784955 | − | 0.0129001i | |||||
− | 4.02635e6i | − | 0.443547i | −0.975098 | − | 0.221774i | ||||
0.975098 | − | 0.221774i | ||||||||
6.63187e6 | − | 1.53254e7i | 0.727574 | − | 1.68133i | |||||
−347432. | −0.0379601 | |||||||||
0 | 0 | |||||||||
− | 1.19042e7i | − | 1.29002i | |||||||
−1.45005e7 | − | 7.50350e6i | −1.56496 | − | 0.809814i | |||||
5.30633e6 | 0.570352 | 0.285176 | − | 0.958475i | ||||||
0.285176 | + | 0.958475i | ||||||||
−1.33621e7 | + | 8.13065e6i | −1.43038 | + | 0.870370i | |||||
0 | 0 | |||||||||
−877714. | − | 1.26790e7i | −0.0931969 | − | 1.34628i | |||||
9.56854e6i | 1.01189i | 0.862566 | + | 0.505944i | ||||||
−0.862566 | + | 0.505944i | ||||||||
−51561.7 | − | 84737.4i | −0.00543070 | − | 0.00892491i | |||||
− | 6.58401e6i | − | 0.690659i | −0.938481 | − | 0.345330i | ||||
0.938481 | − | 0.345330i | ||||||||
0 | 0 | |||||||||
341870.i | 0.0355739i | |||||||||
−3.61499e6 | + | 2.19968e6i | −0.374655 | + | 0.227973i | |||||
− | 7.46866e6i | − | 0.770943i | |||||||
−257725. | − | 364267.i | −0.0264969 | − | 0.0374506i | |||||
0 | 0 | |||||||||
8.35871e6 | + | 1.37369e7i | 0.852518 | + | 1.40104i | |||||
473157. | 0.0480659 | |||||||||
−4.02866e6 | + | 7.78538e6i | −0.407626 | + | 0.787736i | |||||
1.99533e7i | 2.01089i | |||||||||
0 | 0 | |||||||||
−1.34839e7 | −1.34816 | −0.674079 | − | 0.738659i | ||||||
−0.674079 | + | 0.738659i | ||||||||
−1.11745e6 | − | 1.61421e7i | −0.111285 | − | 1.60756i | |||||
− | 278752.i | − | 0.0276508i | |||||||
471135. | − | 286680.i | 0.0465503 | − | 0.0283253i | |||||
0 | 0 | |||||||||
168831. | − | 326266.i | 0.0165505 | − | 0.0319837i | |||||
2.05072e7 | 2.00244 | |||||||||
−6.71371e6 | + | 4.08521e6i | −0.652996 | + | 0.397340i | |||||
−256555. | −0.0248559 | |||||||||
0 | 0 | |||||||||
−7.72929e6 | −0.743010 | −0.371505 | − | 0.928431i | ||||||
−0.371505 | + | 0.928431i | ||||||||
335027. | − | 203860.i | 0.0320805 | − | 0.0195206i | |||||
−9.41828e6 | −0.898347 | −0.449174 | − | 0.893444i | ||||||
−0.449174 | + | 0.893444i | ||||||||
4.42717e6 | − | 8.55549e6i | 0.420641 | − | 0.812887i | |||||
0 | 0 | |||||||||
−2.92755e7 | + | 1.78138e7i | −2.76009 | + | 1.67948i | |||||
− | 3.44122e6i | − | 0.323185i | −0.986858 | − | 0.161593i | ||||
0.986858 | − | 0.161593i | ||||||||
736277. | + | 1.06359e7i | 0.0688817 | + | 0.995032i | |||||
6.61593e6 | 0.616566 | |||||||||
0 | 0 | |||||||||
464687.i | 0.0429743i | |||||||||
331195. | − | 640034.i | 0.0305116 | − | 0.0589636i | |||||
1.39531e7 | 1.28053 | 0.640263 | − | 0.768155i | ||||||
0.640263 | + | 0.768155i | ||||||||
197114. | + | 323940.i | 0.0180207 | + | 0.0296156i | |||||
0 | 0 | |||||||||
−2.24919e6 | − | 3.17899e6i | −0.204064 | − | 0.288423i | |||||
− | 1.34230e7i | − | 1.21321i | |||||||
−1.18362e7 | + | 7.20215e6i | −1.06573 | + | 0.648482i | |||||
1.16197e7i | 1.04227i | 0.853474 | + | 0.521135i | ||||||
−0.853474 | + | 0.521135i | ||||||||
0 | 0 | |||||||||
2.02640e6i | 0.180394i | 0.995924 | + | 0.0901970i | ||||||
−0.995924 | + | 0.0901970i | ||||||||
7.98270e6 | + | 1.31189e7i | 0.707954 | + | 1.16346i | |||||
915737.i | 0.0809071i | |||||||||
−1.29822e6 | − | 1.87534e7i | −0.114269 | − | 1.65067i | |||||
0 | 0 | |||||||||
1.11404e7 | − | 6.77877e6i | 0.973226 | − | 0.592196i | |||||
−5.95668e6 | −0.518429 | |||||||||
119822. | + | 62003.8i | 0.0103895 | + | 0.00537622i | |||||
10319.6i | 0.000891447i | |||||||||
0 | 0 | |||||||||
6.26993e6 | 0.537596 | |||||||||
−206259. | + | 476637.i | −0.0176193 | + | 0.0407160i | |||||
− | 5.84126e6i | − | 0.497129i | −0.968615 | − | 0.248564i | ||||
0.968615 | − | 0.248564i | ||||||||
1.45817e6 | + | 2.39638e6i | 0.123640 | + | 0.203192i | |||||
0 | 0 | |||||||||
7.86330e6 | − | 1.51958e7i | 0.661818 | − | 1.27896i | |||||
−1.28265e7 | −1.07557 | −0.537784 | − | 0.843083i | ||||||
−0.537784 | + | 0.843083i | ||||||||
79923.8 | + | 131348.i | 0.00667731 | + | 0.0109736i | |||||
−4.45331e6 | −0.370688 | |||||||||
0 | 0 | |||||||||
69079.6 | 0.00570797 | |||||||||
5.46393e6 | + | 8.97952e6i | 0.449825 | + | 0.739251i | |||||
−7.24686e6 | −0.594426 | −0.297213 | − | 0.954811i | ||||||
−0.297213 | + | 0.954811i | ||||||||
1.98916e7 | + | 1.02932e7i | 1.62566 | + | 0.841224i | |||||
0 | 0 | |||||||||
−2.72853e6 | − | 4.48411e6i | −0.221370 | − | 0.363803i | |||||
− | 331695.i | − | 0.0268131i | |||||||
−2.56128e6 | − | 3.62010e6i | −0.206294 | − | 0.291575i | |||||
2.38676e7 | 1.91540 | |||||||||
0 | 0 | |||||||||
− | 2.08754e7i | − | 1.66318i | −0.555388 | − | 0.831592i | ||||
0.555388 | − | 0.831592i | ||||||||
−3.53494e6 | + | 6.83126e6i | −0.280619 | + | 0.542295i | |||||
1.70463e7 | 1.34834 | |||||||||
1.51985e7 | − | 9.24808e6i | 1.19785 | − | 0.728874i | |||||
0 | 0 | |||||||||
320378. | − | 22178.3i | 0.0250691 | − | 0.00173543i | |||||
7.99171e6i | 0.623100i | |||||||||
−7.72105e6 | − | 1.26889e7i | −0.599843 | − | 0.985793i | |||||
154083.i | 0.0119279i | |||||||||
0 | 0 | |||||||||
− | 1.73225e7i | − | 1.33142i | −0.746209 | − | 0.665712i | ||||
0.746209 | − | 0.665712i | ||||||||
1.02299e6 | − | 622478.i | 0.0783482 | − | 0.0476740i | |||||
− | 2.73718e7i | − | 2.08889i | |||||||
1.61873e6 | + | 1.16357e7i | 0.123096 | + | 0.884831i | |||||
0 | 0 | |||||||||
1.57905e6 | + | 2.59505e6i | 0.119230 | + | 0.195945i | |||||
−1.03229e7 | −0.776703 | |||||||||
−240109. | − | 124248.i | −0.0180022 | − | 0.00931549i | |||||
− | 1.99424e7i | − | 1.48991i | −0.667113 | − | 0.744956i | ||||
0.667113 | − | 0.744956i | ||||||||
0 | 0 | |||||||||
2.17023e7 | 1.61002 | |||||||||
476762. | + | 6.88707e6i | 0.0352453 | + | 0.509137i | |||||
7.96700e6i | 0.586909i | |||||||||
910503. | − | 554030.i | 0.0668399 | − | 0.0406713i | |||||
0 | 0 | |||||||||
6.97723e6 | + | 3.61047e6i | 0.508628 | + | 0.263197i | |||||
151308. | 0.0109917 | |||||||||
−1.78794e6 | + | 1.08794e6i | −0.129432 | + | 0.0787579i | |||||
2.44269e7 | 1.76217 | 0.881083 | − | 0.472962i | ||||||
0.881083 | + | 0.472962i | ||||||||
0 | 0 | |||||||||
−7.50075e6 | −0.537361 | |||||||||
2.81941e7 | − | 1.71558e7i | 2.01287 | − | 1.22481i | |||||
−412050. | −0.0293160 | |||||||||
471457. | + | 243962.i | 0.0334268 | + | 0.0172972i | |||||
0 | 0 | |||||||||
71946.6 | − | 43778.6i | 0.00506604 | − | 0.00308263i | |||||
1.52812e7i | 1.07231i | 0.844119 | + | 0.536155i | ||||||
−0.844119 | + | 0.536155i | ||||||||
−3.36620e7 | + | 2.33027e6i | −2.35402 | + | 0.162959i | |||||
−1.42747e7 | −0.994829 | |||||||||
0 | 0 | |||||||||
9.10064e6i | 0.629910i | |||||||||
−227551. | − | 117750.i | −0.0156964 | − | 0.00812236i | |||||
7.69123e6 | 0.528732 | 0.264366 | − | 0.964422i | ||||||
0.264366 | + | 0.964422i | ||||||||
−4.16709e6 | − | 6.84827e6i | −0.285491 | − | 0.469181i | |||||
0 | 0 | |||||||||
−3.53628e6 | + | 8.17188e6i | −0.240631 | + | 0.556067i | |||||
− | 2.68552e6i | − | 0.182121i | |||||||
4.46194e6 | − | 2.71504e6i | 0.301566 | − | 0.183500i | |||||
7.32363e6i | 0.493305i | 0.969104 | + | 0.246652i | ||||||
−0.969104 | + | 0.246652i | ||||||||
0 | 0 | |||||||||
− | 1.25620e6i | − | 0.0840453i | |||||||
−1.44401e7 | − | 2.37312e7i | −0.962856 | − | 1.58237i | |||||
− | 1.61613e7i | − | 1.07400i | −0.843582 | − | 0.537001i | ||||
0.843582 | − | 0.537001i | ||||||||
−29663.3 | − | 428502.i | −0.00196466 | − | 0.0283805i | |||||
0 | 0 | |||||||||
−1.04408e7 | + | 6.35311e6i | −0.686891 | + | 0.417965i | |||||
2.52130e7 | 1.65319 | |||||||||
1.10799e7 | − | 2.14119e7i | 0.724074 | − | 1.39927i | |||||
− | 2.96557e7i | − | 1.93154i | |||||||
0 | 0 | |||||||||
−3.01764e7 | −1.95240 | −0.976199 | − | 0.216879i | ||||||
−0.976199 | + | 0.216879i | ||||||||
1.04547e7 | − | 7.39688e6i | 0.674167 | − | 0.476984i | |||||
− | 441209.i | − | 0.0283568i | |||||||
1.08459e7 | + | 1.78244e7i | 0.694767 | + | 1.14179i | |||||
0 | 0 | |||||||||
−1.23784e6 | − | 640540.i | −0.0787699 | − | 0.0407607i | |||||
1.40193e7 | 0.889171 | 0.444586 | − | 0.895736i | ||||||
0.444586 | + | 0.895736i | ||||||||
−4.70687e6 | − | 7.73536e6i | −0.297550 | − | 0.488999i | |||||
−252299. | −0.0158969 | |||||||||
0 | 0 | |||||||||
−1.39222e7 | −0.871456 | −0.435728 | − | 0.900078i | ||||||
−0.435728 | + | 0.900078i | ||||||||
−17828.0 | − | 29298.8i | −0.00111228 | − | 0.00182794i | |||||
2.86744e7 | 1.78313 | |||||||||
−8.17513e6 | + | 1.57984e7i | −0.506712 | + | 0.979220i | |||||
0 | 0 | |||||||||
9.05516e6 | + | 1.48814e7i | 0.557602 | + | 0.916373i | |||||
− | 1.75648e7i | − | 1.07809i | |||||||
159771. | − | 452688.i | 0.00977454 | − | 0.0276946i | |||||
1.41369e7 | 0.862063 | 0.431031 | − | 0.902337i | ||||||
0.431031 | + | 0.902337i | ||||||||
0 | 0 | |||||||||
− | 690602.i | − | 0.0418400i | |||||||
1.12872e7 | + | 5.84076e6i | 0.681624 | + | 0.352717i | |||||
−1.39310e7 | −0.838558 | −0.419279 | − | 0.907858i | ||||||
−0.419279 | + | 0.907858i | ||||||||
5.08108e6 | − | 3.09178e6i | 0.304862 | − | 0.185505i | |||||
0 | 0 | |||||||||
4.10653e6 | − | 284277.i | 0.244805 | − | 0.0169468i | |||||
851295.i | 0.0505857i | |||||||||
7.97749e6 | + | 1.31104e7i | 0.472517 | + | 0.776543i | |||||
− | 1.09630e7i | − | 0.647268i | |||||||
0 | 0 | |||||||||
− | 378838.i | − | 0.0222242i | |||||||
1.56104e7 | − | 9.49877e6i | 0.912848 | − | 0.555457i | |||||
861835.i | 0.0502366i | |||||||||
1.27425e7 | + | 1.80103e7i | 0.740399 | + | 1.04648i | |||||
0 | 0 | |||||||||
−39626.0 | − | 65122.1i | −0.00228783 | − | 0.00375986i | |||||
−9.60345e6 | −0.552701 | −0.276351 | − | 0.961057i | ||||||
−0.276351 | + | 0.961057i | ||||||||
−1.06217e7 | + | 2.05264e7i | −0.609366 | + | 1.17760i | |||||
− | 330178.i | − | 0.0188823i | |||||||
0 | 0 | |||||||||
1.16266e7 | 0.660712 | |||||||||
−1.57189e7 | + | 1.08815e6i | −0.890451 | + | 0.0616420i | |||||
− | 1.66462e7i | − | 0.940010i | |||||||
1.96101e7 | − | 1.19325e7i | 1.10390 | − | 0.671709i | |||||
0 | 0 | |||||||||
1.91024e6 | − | 3.69153e6i | 0.106857 | − | 0.206502i | |||||
−1.97451e7 | −1.10107 | −0.550534 | − | 0.834813i | ||||||
−0.550534 | + | 0.834813i | ||||||||
−1.24902e6 | + | 760014.i | −0.0694325 | + | 0.0422488i | |||||
−2.62823e7 | −1.45645 | |||||||||
0 | 0 | |||||||||
−9.25932e6 | −0.509915 | |||||||||
−2.52650e7 | + | 1.53734e7i | −1.38702 | + | 0.843985i | |||||
1.98209e7 | 1.08476 | |||||||||
−50434.3 | + | 97464.2i | −0.00275160 | + | 0.00531747i | |||||
0 | 0 | |||||||||
2.38400e7 | − | 1.45063e7i | 1.29261 | − | 0.786539i | |||||
655027.i | 0.0354059i | |||||||||
9.51909e6 | − | 658965.i | 0.512941 | − | 0.0355087i | |||||
−1.73178e7 | −0.930296 | −0.465148 | − | 0.885233i | ||||||
−0.465148 | + | 0.885233i | ||||||||
0 | 0 | |||||||||
− | 3.16102e7i | − | 1.68762i | −0.536642 | − | 0.843810i | ||||
0.536642 | − | 0.843810i | ||||||||
1.11606e7 | − | 2.15679e7i | 0.594018 | − | 1.14794i | |||||
888436. | 0.0471411 | |||||||||
1.00098e7 | + | 1.64502e7i | 0.529497 | + | 0.870184i | |||||
0 | 0 | |||||||||
−804236. | + | 569010.i | −0.0422822 | + | 0.0299154i | |||||
− | 1.24842e7i | − | 0.654342i | |||||||
−9.16026e6 | + | 5.57390e6i | −0.478657 | + | 0.291257i | |||||
− | 4.52568e7i | − | 2.35762i | |||||||
0 | 0 | |||||||||
1.86667e7i | 0.966519i | 0.875477 | + | 0.483260i | ||||||
−0.875477 | + | 0.483260i | ||||||||
−305352. | − | 501821.i | −0.0157624 | − | 0.0259042i | |||||
3.88081e7i | 1.99720i | 0.0528555 | + | 0.998602i | ||||||
−0.0528555 | + | 0.998602i | ||||||||
6.91666e6 | − | 478810.i | 0.354878 | − | 0.0245666i | |||||
0 | 0 | |||||||||
−1.74645e7 | + | 1.06269e7i | −0.890646 | + | 0.541947i | |||||
−2.98829e7 | −1.51935 | −0.759677 | − | 0.650301i | ||||||
−0.759677 | + | 0.650301i | ||||||||
−1.06067e7 | − | 5.48861e6i | −0.537657 | − | 0.278219i | |||||
2.10001e7i | 1.06129i | 0.847594 | + | 0.530645i | ||||||
−0.847594 | + | 0.530645i | ||||||||
0 | 0 | |||||||||
783237. | 0.0393451 | |||||||||
3.08919e7 | − | 4.29762e6i | 1.54717 | − | 0.215239i | |||||
− | 4.52763e7i | − | 2.26078i | |||||||
−277414. | − | 455908.i | −0.0138106 | − | 0.0226966i | |||||
0 | 0 | |||||||||
−1.51993e7 | + | 2.93727e7i | −0.752158 | + | 1.45354i | |||||
1.15270e6 | 0.0568724 | |||||||||
1.95084e6 | + | 3.20604e6i | 0.0959645 | + | 0.157710i | |||||
7.61546e6 | 0.373501 | 0.186750 | − | 0.982407i | ||||||
0.186750 | + | 0.982407i | ||||||||
0 | 0 | |||||||||
5.49468e6 | 0.267888 | |||||||||
3.36192e6 | + | 5.52503e6i | 0.163421 | + | 0.268568i | |||||
−661881. | −0.0320783 | |||||||||
1.73044e7 | + | 8.95440e6i | 0.836179 | + | 0.432694i | |||||
0 | 0 | |||||||||
8.92892e6 | + | 1.46740e7i | 0.428917 | + | 0.704890i | |||||
− | 6.36854e6i | − | 0.305022i | |||||||
1.48306e7 | + | 2.09614e7i | 0.708219 | + | 1.00099i | |||||
−490713. | −0.0233646 | |||||||||
0 | 0 | |||||||||
1.45953e7i | 0.690860i | |||||||||
−7114.62 | + | 13749.0i | −0.000335778 | + | 0.000648891i | |||||
−9.56553e6 | −0.450128 | −0.225064 | − | 0.974344i | ||||||
−0.225064 | + | 0.974344i | ||||||||
−1.65511e7 | + | 1.00711e7i | −0.776572 | + | 0.472535i | |||||
0 | 0 | |||||||||
1.89307e6 | + | 2.73464e7i | 0.0883046 | + | 1.27561i | |||||
2.34556e7i | 1.09092i | 0.838136 | + | 0.545462i | ||||||
−0.838136 | + | 0.545462i | ||||||||
459388. | + | 754967.i | 0.0213040 | + | 0.0350114i | |||||
9.13964e6i | 0.422616i | 0.977420 | + | 0.211308i | ||||||
−0.977420 | + | 0.211308i | ||||||||
0 | 0 | |||||||||
340961.i | 0.0156746i | |||||||||
−2.70218e6 | + | 1.64424e6i | −0.123864 | + | 0.0753698i | |||||
− | 1.04151e7i | − | 0.476034i | −0.971261 | − | 0.238017i | ||||
0.971261 | − | 0.238017i | ||||||||
1.18234e6 | + | 511643.i | 0.0538837 | + | 0.0233175i | |||||
0 | 0 | |||||||||
−1.19027e7 | − | 1.95611e7i | −0.539325 | − | 0.886336i | |||||
1.37175e6 | 0.0619764 | |||||||||
−2.88469e7 | − | 1.49273e7i | −1.29957 | − | 0.672482i | |||||
3.20464e7i | 1.43956i | |||||||||
0 | 0 | |||||||||
−7.12987e6 | −0.318446 | |||||||||
−2.64415e7 | + | 1.83043e6i | −1.17759 | + | 0.0815196i | |||||
5.52102e6i | 0.245179i | |||||||||
−2.14143e7 | + | 1.30303e7i | −0.948255 | + | 0.577002i | |||||
0 | 0 | |||||||||
−719350. | − | 372238.i | −0.0316723 | − | 0.0163893i | |||||
−2.02537e7 | −0.889210 | −0.444605 | − | 0.895727i | ||||||
−0.444605 | + | 0.895727i | ||||||||
−2.01941e7 | + | 1.22879e7i | −0.884072 | + | 0.537947i | |||||
80964.7 | 0.00353447 | |||||||||
0 | 0 | |||||||||
2.74936e7 | 1.19341 | 0.596707 | − | 0.802459i | ||||||
0.596707 | + | 0.802459i | ||||||||
−2.52787e7 | + | 1.53818e7i | −1.09417 | + | 0.665787i | |||||
3.50971e7 | 1.51485 | 0.757425 | − | 0.652922i | ||||||
0.757425 | + | 0.652922i | ||||||||
−5.68472e7 | − | 2.94164e7i | −2.44669 | − | 1.26607i | |||||
0 | 0 | |||||||||
2.99202e7 | − | 1.82061e7i | 1.28050 | − | 0.779169i | |||||
1.77301e7i | 0.756660i | 0.925671 | + | 0.378330i | ||||||
−0.925671 | + | 0.378330i | ||||||||
−54342.4 | − | 785005.i | −0.00231263 | − | 0.0334072i | |||||
−2.59346e6 | −0.110059 | |||||||||
0 | 0 | |||||||||
− | 2.11151e7i | − | 0.891042i | |||||||
−640618. | − | 331497.i | −0.0269580 | − | 0.0139498i | |||||
3.60538e7 | 1.51294 | |||||||||
371641. | + | 610762.i | 0.0155518 | + | 0.0255581i | |||||
0 | 0 | |||||||||
−2.29630e7 | − | 2.81153e7i | −0.955562 | − | 1.16996i | |||||
669837.i | 0.0277964i | |||||||||
−1.50590e7 | + | 9.16323e6i | −0.623169 | + | 0.379191i | |||||
2.00844e7i | 0.828818i | |||||||||
0 | 0 | |||||||||
− | 5.26953e7i | − | 2.16252i | |||||||
4.00912e6 | + | 6.58866e6i | 0.164071 | + | 0.269638i | |||||
388273.i | 0.0158459i | |||||||||
−1.07213e7 | + | 742186.i | −0.436339 | + | 0.0302059i | |||||
0 | 0 | |||||||||
−196680. | + | 119677.i | −0.00796047 | + | 0.00484385i | |||||
1.04686e7 | 0.422542 | 0.211271 | − | 0.977428i | ||||||
0.211271 | + | 0.977428i | ||||||||
−2.21906e6 | + | 4.28833e6i | −0.0893211 | + | 0.172613i | |||||
1.27979e7i | 0.513725i | |||||||||
0 | 0 | |||||||||
−4.87147e7 | −1.94475 | −0.972376 | − | 0.233420i | ||||||
−0.972376 | + | 0.233420i | ||||||||
1.10324e6 | − | 780563.i | 0.0439222 | − | 0.0310757i | |||||
3.72304e7i | 1.47816i | |||||||||
−1.30764e7 | − | 2.14899e7i | −0.517752 | − | 0.850882i | |||||
0 | 0 | |||||||||
2.05910e7 | + | 1.06551e7i | 0.810847 | + | 0.419585i | |||||
−5.76445e6 | −0.226378 | |||||||||
−1.37432e6 | − | 2.25858e6i | −0.0538246 | − | 0.0884563i | |||||
2.63015e7 | 1.02729 | 0.513643 | − | 0.858004i | ||||||
0.513643 | + | 0.858004i | ||||||||
0 | 0 | |||||||||
−1.26587e6 | −0.0491747 | |||||||||
−2.21124e7 | − | 3.63399e7i | −0.856659 | − | 1.40785i | |||||
−1.00579e6 | −0.0388600 | |||||||||
472718. | − | 913526.i | 0.0182147 | − | 0.0351998i | |||||
0 | 0 | |||||||||
−1.27693e7 | − | 2.09854e7i | −0.489374 | − | 0.804246i | |||||
9.29911e6i | 0.355420i | |||||||||
−8.91478e6 | + | 2.06009e7i | −0.339813 | + | 0.785264i | |||||
−4.91045e7 | −1.86673 | −0.933366 | − | 0.358925i | ||||||
−0.933366 | + | 0.358925i | ||||||||
0 | 0 | |||||||||
6.21096e7i | 2.34847i | |||||||||
−9.56519e6 | − | 4.94965e6i | −0.360706 | − | 0.186653i | |||||
−342472. | −0.0128802 | |||||||||
−4.30234e6 | + | 2.61792e6i | −0.161376 | + | 0.0981951i | |||||
0 | 0 | |||||||||
2.88897e6 | + | 4.17327e7i | 0.107784 | + | 1.55699i | |||||
− | 3.24439e7i | − | 1.20721i | −0.797282 | − | 0.603607i | ||||
0.797282 | − | 0.603607i | ||||||||
4.31365e6 | + | 7.08912e6i | 0.160080 | + | 0.263079i | |||||
1.30138e6i | 0.0481660i | |||||||||
0 | 0 | |||||||||
− | 5.58017e6i | − | 0.205435i | −0.994711 | − | 0.102717i | ||||
0.994711 | − | 0.102717i | ||||||||
−606060. | + | 368780.i | −0.0222530 | + | 0.0135407i | |||||
5.84573e6i | 0.214072i | |||||||||
1.54261e7 | − | 1.09142e7i | 0.563413 | − | 0.398624i | |||||
0 | 0 | |||||||||
4.56542e6 | + | 7.50290e6i | 0.165864 | + | 0.272585i | |||||
2.29821e7 | 0.832748 | 0.416374 | − | 0.909193i | ||||||
0.416374 | + | 0.909193i | ||||||||
601834. | − | 1.16304e6i | 0.0217498 | − | 0.0420315i | |||||
− | 5.26231e7i | − | 1.89675i | |||||||
0 | 0 | |||||||||
44633.7 | 0.00160034 | |||||||||
5.14482e6 | + | 7.43195e7i | 0.183983 | + | 2.65773i | |||||
2.98158e7i | 1.06344i | 0.846920 | + | 0.531721i | ||||||
−0.846920 | + | 0.531721i | ||||||||
−2.94209e7 | + | 1.79023e7i | −1.04661 | + | 0.636850i | |||||
0 | 0 | |||||||||
−4.86051e6 | + | 9.39292e6i | −0.172003 | + | 0.332396i | |||||
−636034. | −0.0224492 | |||||||||
1.90066e7 | − | 1.15653e7i | 0.669099 | − | 0.407138i | |||||
−4.44200e7 | −1.55967 | |||||||||
0 | 0 | |||||||||
−1.76649e6 | −0.0617026 | |||||||||
4.36742e7 | − | 2.65752e7i | 1.52156 | − | 0.925848i | |||||
−3.67659e7 | −1.27756 | |||||||||
1.32364e7 | − | 2.55793e7i | 0.458750 | − | 0.886534i | |||||
0 | 0 | |||||||||
666009. | − | 405259.i | 0.0229635 | − | 0.0139730i | |||||
− | 4.13822e6i | − | 0.142314i | −0.997465 | − | 0.0711570i | ||||
0.997465 | − | 0.0711570i | ||||||||
406536. | + | 5.87262e6i | 0.0139447 | + | 0.201439i | |||||
−2.77346e6 | −0.0948884 | |||||||||
0 | 0 | |||||||||
5.43256e7i | 1.84908i | 0.381081 | + | 0.924542i | ||||||
−0.381081 | + | 0.924542i | ||||||||
−1.19134e6 | + | 2.30227e6i | −0.0404456 | + | 0.0781609i | |||||
−4.03558e7 | −1.36655 | |||||||||
1.15010e7 | + | 1.89009e7i | 0.388452 | + | 0.638389i | |||||
0 | 0 | |||||||||
1.46194e7 | − | 1.03434e7i | 0.491251 | − | 0.347568i | |||||
2.00334e7i | 0.671456i | 0.941959 | + | 0.335728i | ||||||
−0.941959 | + | 0.335728i | ||||||||
49824.0 | − | 30317.3i | 0.00166568 | − | 0.00101355i | |||||
− | 1.36726e7i | − | 0.455927i | |||||||
0 | 0 | |||||||||
− | 3.55493e7i | − | 1.17939i | |||||||
1.30364e7 | + | 2.14243e7i | 0.431400 | + | 0.708971i | |||||
− | 2.92947e6i | − | 0.0966953i | −0.998831 | − | 0.0483476i | ||||
0.998831 | − | 0.0483476i | ||||||||
−21765.3 | − | 314410.i | −0.000716599 | − | 0.0103516i | |||||
0 | 0 | |||||||||
3.93531e7 | − | 2.39459e7i | 1.28910 | − | 0.784402i | |||||
−1.12132e6 | −0.0366383 | |||||||||
7.79825e7 | + | 4.03532e7i | 2.54158 | + | 1.31518i | |||||
6.65688e6i | 0.216411i | |||||||||
0 | 0 | |||||||||
5.27467e7 | 1.70613 | 0.853064 | − | 0.521807i | ||||||
0.853064 | + | 0.521807i | ||||||||
2.75535e7 | + | 1.19234e7i | 0.888990 | + | 0.384700i | |||||
1.24284e6i | 0.0399984i | |||||||||
608513. | + | 1.00004e6i | 0.0195346 | + | 0.0321035i | |||||
0 | 0 | |||||||||
699191. | − | 1.35118e6i | 0.0223330 | − | 0.0431585i | |||||
1.04084e7 | 0.331625 | 0.165812 | − | 0.986157i | ||||||
0.165812 | + | 0.986157i | ||||||||
−1.42361e7 | − | 2.33959e7i | −0.452444 | − | 0.743555i | |||||
2.11171e6 | 0.0669454 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 200.6.f.d.149.10 | 40 | ||
4.3 | odd | 2 | 800.6.f.d.49.21 | 40 | |||
5.2 | odd | 4 | 200.6.d.d.101.5 | yes | 20 | ||
5.3 | odd | 4 | 200.6.d.c.101.16 | yes | 20 | ||
5.4 | even | 2 | inner | 200.6.f.d.149.31 | 40 | ||
8.3 | odd | 2 | 800.6.f.d.49.19 | 40 | |||
8.5 | even | 2 | inner | 200.6.f.d.149.32 | 40 | ||
20.3 | even | 4 | 800.6.d.d.401.11 | 20 | |||
20.7 | even | 4 | 800.6.d.b.401.10 | 20 | |||
20.19 | odd | 2 | 800.6.f.d.49.20 | 40 | |||
40.3 | even | 4 | 800.6.d.d.401.10 | 20 | |||
40.13 | odd | 4 | 200.6.d.c.101.15 | ✓ | 20 | ||
40.19 | odd | 2 | 800.6.f.d.49.22 | 40 | |||
40.27 | even | 4 | 800.6.d.b.401.11 | 20 | |||
40.29 | even | 2 | inner | 200.6.f.d.149.9 | 40 | ||
40.37 | odd | 4 | 200.6.d.d.101.6 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
200.6.d.c.101.15 | ✓ | 20 | 40.13 | odd | 4 | ||
200.6.d.c.101.16 | yes | 20 | 5.3 | odd | 4 | ||
200.6.d.d.101.5 | yes | 20 | 5.2 | odd | 4 | ||
200.6.d.d.101.6 | yes | 20 | 40.37 | odd | 4 | ||
200.6.f.d.149.9 | 40 | 40.29 | even | 2 | inner | ||
200.6.f.d.149.10 | 40 | 1.1 | even | 1 | trivial | ||
200.6.f.d.149.31 | 40 | 5.4 | even | 2 | inner | ||
200.6.f.d.149.32 | 40 | 8.5 | even | 2 | inner | ||
800.6.d.b.401.10 | 20 | 20.7 | even | 4 | |||
800.6.d.b.401.11 | 20 | 40.27 | even | 4 | |||
800.6.d.d.401.10 | 20 | 40.3 | even | 4 | |||
800.6.d.d.401.11 | 20 | 20.3 | even | 4 | |||
800.6.f.d.49.19 | 40 | 8.3 | odd | 2 | |||
800.6.f.d.49.20 | 40 | 20.19 | odd | 2 | |||
800.6.f.d.49.21 | 40 | 4.3 | odd | 2 | |||
800.6.f.d.49.22 | 40 | 40.19 | odd | 2 |