Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [40,5,Mod(11,40)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(40, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("40.11");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 40.g (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: | |
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 | 11.15 | ||
Root | of defining polynomial | ||
Character | 40.11 | ||
Dual form | 40.5.g.a.11.16 |
-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 .
3.73120 | − | 1.44159i | 0.932799 | − | 0.360397i | |||||
7.09911 | 0.788789 | 0.394395 | − | 0.918941i | ||||||
0.394395 | + | 0.918941i | ||||||||
11.8437 | − | 10.7577i | 0.740228 | − | 0.672356i | |||||
11.1803i | 0.447214i | |||||||||
26.4882 | − | 10.2340i | 0.735782 | − | 0.284277i | |||||
2.59084i | 0.0528743i | 0.999650 | + | 0.0264372i | ||||||
−0.999650 | + | 0.0264372i | ||||||||
28.6828 | − | 57.2127i | 0.448169 | − | 0.893949i | |||||
−30.6027 | −0.377811 | |||||||||
16.1174 | + | 41.7160i | 0.161174 | + | 0.417160i | |||||
−7.95663 | −0.0657573 | −0.0328786 | − | 0.999459i | ||||||
−0.0328786 | + | 0.999459i | ||||||||
84.0793 | − | 76.3700i | 0.583884 | − | 0.530347i | |||||
54.6467i | 0.323353i | 0.986844 | + | 0.161677i | ||||||
−0.986844 | + | 0.161677i | ||||||||
3.73492 | + | 9.66694i | 0.0190557 | + | 0.0493211i | |||||
79.3704i | 0.352757i | |||||||||
24.5442 | − | 254.821i | 0.0958759 | − | 0.995393i | |||||
−28.7782 | −0.0995785 | −0.0497892 | − | 0.998760i | ||||||
−0.0497892 | + | 0.998760i | ||||||||
−114.185 | + | 44.1165i | −0.352422 | + | 0.136162i | |||||
−316.702 | −0.877291 | −0.438646 | − | 0.898660i | ||||||
−0.438646 | + | 0.898660i | ||||||||
120.275 | + | 132.416i | 0.300687 | + | 0.331040i | |||||
18.3927i | 0.0417067i | |||||||||
−29.6878 | + | 11.4702i | −0.0613383 | + | 0.0236987i | |||||
846.949i | 1.60104i | 0.599308 | + | 0.800519i | ||||||
−0.599308 | + | 0.800519i | ||||||||
203.623 | − | 406.159i | 0.353511 | − | 0.705137i | |||||
−125.000 | −0.200000 | |||||||||
78.7780 | + | 203.898i | 0.116535 | + | 0.301624i | |||||
−792.279 | −1.08680 | |||||||||
27.8715 | + | 30.6850i | 0.0355503 | + | 0.0391391i | |||||
− | 766.738i | − | 0.911698i | −0.890057 | − | 0.455849i | ||||
0.890057 | − | 0.455849i | ||||||||
114.419 | + | 296.147i | 0.127133 | + | 0.329052i | |||||
1194.00i | 1.24245i | 0.783631 | + | 0.621227i | ||||||
−0.783631 | + | 0.621227i | ||||||||
−275.767 | − | 986.169i | −0.269304 | − | 0.963055i | |||||
−56.4850 | −0.0518686 | |||||||||
−107.377 | + | 41.4862i | −0.0928867 | + | 0.0358878i | |||||
−28.9665 | −0.0236461 | |||||||||
−362.448 | + | 329.214i | −0.279666 | + | 0.254023i | |||||
− | 2436.16i | − | 1.77952i | −0.456432 | − | 0.889758i | ||||
0.456432 | − | 0.889758i | ||||||||
−1181.68 | + | 456.554i | −0.818336 | + | 0.316173i | |||||
387.943i | 0.255058i | |||||||||
639.658 | + | 320.684i | 0.399786 | + | 0.200427i | |||||
2433.43 | 1.44761 | 0.723806 | − | 0.690004i | ||||||
0.723806 | + | 0.690004i | ||||||||
26.5146 | + | 68.6266i | 0.0150310 | + | 0.0389040i | |||||
2338.16 | 1.26455 | 0.632277 | − | 0.774742i | ||||||
0.632277 | + | 0.774742i | ||||||||
−94.2356 | + | 85.5950i | −0.0486754 | + | 0.0442123i | |||||
− | 342.149i | − | 0.168962i | |||||||
1220.95 | + | 3160.13i | 0.577009 | + | 1.49345i | |||||
− | 2192.51i | − | 0.992537i | −0.868169 | − | 0.496269i | ||||
0.868169 | − | 0.496269i | ||||||||
174.242 | − | 1809.00i | 0.0756259 | − | 0.785156i | |||||
2394.29 | 0.997204 | |||||||||
−466.400 | + | 180.198i | −0.186560 | + | 0.0720794i | |||||
−204.299 | −0.0785464 | |||||||||
587.872 | + | 647.216i | 0.217408 | + | 0.239355i | |||||
− | 3041.70i | − | 1.08284i | −0.840752 | − | 0.541420i | ||||
0.840752 | − | 0.541420i | ||||||||
−2956.15 | + | 1142.14i | −1.01377 | + | 0.391680i | |||||
− | 88.9578i | − | 0.0294075i | |||||||
148.229 | + | 74.3127i | 0.0472669 | + | 0.0236967i | |||||
−2248.30 | −0.691998 | |||||||||
−1105.32 | − | 2860.85i | −0.328573 | − | 0.850431i | |||||
455.150 | 0.130753 | 0.0653764 | − | 0.997861i | ||||||
0.0653764 | + | 0.997861i | ||||||||
853.842 | + | 940.036i | 0.237178 | + | 0.261121i | |||||
3920.95i | 1.05374i | 0.849947 | + | 0.526868i | ||||||
−0.849947 | + | 0.526868i | ||||||||
1721.25 | + | 4455.04i | 0.447776 | + | 1.15896i | |||||
− | 79.2868i | − | 0.0199765i | |||||||
−2450.59 | − | 3282.05i | −0.598288 | − | 0.801281i | |||||
−610.969 | −0.144608 | |||||||||
−210.756 | + | 81.4280i | −0.0483830 | + | 0.0186933i | |||||
−4822.82 | −1.07436 | −0.537182 | − | 0.843466i | ||||||
−0.537182 | + | 0.843466i | ||||||||
−340.839 | + | 309.587i | −0.0737108 | + | 0.0669521i | |||||
6012.58i | 1.26288i | |||||||||
−108.080 | + | 41.7577i | −0.0220571 | + | 0.00852198i | |||||
874.716i | 0.173520i | 0.996229 | + | 0.0867602i | ||||||
−0.996229 | + | 0.0867602i | ||||||||
−877.773 | + | 1750.86i | −0.169323 | + | 0.337744i | |||||
−7682.80 | −1.44170 | −0.720848 | − | 0.693093i | ||||||
−0.720848 | + | 0.693093i | ||||||||
−3511.93 | − | 9089.78i | −0.641332 | − | 1.65993i | |||||
−887.388 | −0.157758 | |||||||||
−3750.91 | + | 3406.98i | −0.649396 | + | 0.589852i | |||||
− | 20.6144i | − | 0.00347687i | |||||||
559.253 | + | 1447.49i | 0.0919220 | + | 0.237918i | |||||
1475.37i | 0.236400i | 0.992990 | + | 0.118200i | ||||||
−0.992990 | + | 0.118200i | ||||||||
2848.98 | + | 274.413i | 0.445153 | + | 0.0428770i | |||||
−3145.66 | −0.479448 | |||||||||
9079.62 | − | 3508.01i | 1.35033 | − | 0.521714i | |||||
6849.50 | 0.994266 | 0.497133 | − | 0.867674i | ||||||
0.497133 | + | 0.867674i | ||||||||
197.863 | + | 217.836i | 0.0280417 | + | 0.0308725i | |||||
− | 321.750i | − | 0.0445328i | |||||||
8724.14 | − | 3370.66i | 1.17957 | − | 0.455741i | |||||
− | 5443.16i | − | 0.719138i | |||||||
−228.219 | + | 455.220i | −0.0294704 | + | 0.0587836i | |||||
13113.1 | 1.65548 | 0.827740 | − | 0.561111i | ||||||
0.827740 | + | 0.561111i | ||||||||
−493.237 | − | 1276.62i | −0.0608935 | − | 0.157608i | |||||
−141.581 | −0.0170971 | |||||||||
9111.21 | + | 10031.0i | 1.07647 | + | 1.18513i | |||||
8476.32i | 0.980035i | |||||||||
−3160.70 | − | 8180.70i | −0.357707 | − | 0.925838i | |||||
− | 3540.84i | − | 0.392337i | |||||||
−1957.70 | − | 7000.92i | −0.212424 | − | 0.759648i | |||||
−8603.40 | −0.914380 | −0.457190 | − | 0.889369i | ||||||
−0.457190 | + | 0.889369i | ||||||||
8933.56 | − | 3451.57i | 0.930191 | − | 0.359389i | |||||
243.494 | 0.0248438 | |||||||||
−1480.46 | + | 1344.71i | −0.148046 | + | 0.134471i | |||||
− | 7164.77i | − | 0.702360i | −0.936308 | − | 0.351180i | ||||
0.936308 | − | 0.351180i | ||||||||
−762.281 | + | 294.515i | −0.0732680 | + | 0.0283079i | |||||
8010.36i | 0.755053i | 0.925999 | + | 0.377527i | ||||||
−0.925999 | + | 0.377527i | ||||||||
3126.49 | + | 1567.42i | 0.289061 | + | 0.144917i | |||||
−205.636 | −0.0186518 | |||||||||
−4384.88 | − | 11349.2i | −0.390252 | − | 1.01007i | |||||
−2003.50 | −0.174994 | −0.0874969 | − | 0.996165i | ||||||
−0.0874969 | + | 0.996165i | ||||||||
−9383.48 | + | 8523.10i | −0.804482 | + | 0.730718i | |||||
20282.4i | 1.70713i | 0.520985 | + | 0.853566i | ||||||
−0.520985 | + | 0.853566i | ||||||||
−128.240 | − | 331.919i | −0.0105984 | − | 0.0274313i | |||||
− | 17294.5i | − | 1.40366i | |||||||
660.200 | + | 63.5902i | 0.0526307 | + | 0.00506937i | |||||
−570.501 | −0.0446786 | −0.0223393 | − | 0.999750i | ||||||
−0.0223393 | + | 0.999750i | ||||||||
−8388.85 | + | 3241.12i | −0.645495 | + | 0.249394i | |||||
−9469.18 | −0.716006 | |||||||||
−8248.33 | − | 9080.98i | −0.612985 | − | 0.674865i | |||||
− | 1672.34i | − | 0.122166i | |||||||
1698.25 | − | 656.139i | 0.121966 | − | 0.0471229i | |||||
− | 74.5597i | − | 0.00526514i | |||||||
4541.00 | + | 2276.57i | 0.315347 | + | 0.158095i | |||||
−14577.7 | −0.995676 | |||||||||
5652.39 | + | 14629.8i | 0.379763 | + | 0.982923i | |||||
17275.2 | 1.14186 | |||||||||
12844.7 | + | 14141.3i | 0.835371 | + | 0.919700i | |||||
− | 1397.54i | − | 0.0894427i | |||||||
−114.299 | − | 295.834i | −0.00719947 | − | 0.0186341i | |||||
− | 6367.53i | − | 0.394788i | −0.980324 | − | 0.197394i | ||||
0.980324 | − | 0.197394i | ||||||||
−13875.0 | − | 8713.22i | −0.846862 | − | 0.531813i | |||||
16598.8 | 0.997467 | |||||||||
−2279.64 | + | 880.765i | −0.134890 | + | 0.0521162i | |||||
17348.8 | 1.01094 | 0.505472 | − | 0.862843i | ||||||
0.505472 | + | 0.862843i | ||||||||
−668.988 | + | 607.648i | −0.0383946 | + | 0.0348742i | |||||
− | 820.525i | − | 0.0463862i | |||||||
−17994.9 | + | 6952.52i | −1.00217 | + | 0.387198i | |||||
− | 8857.95i | − | 0.486033i | |||||||
−825.440 | + | 1646.48i | −0.0446280 | + | 0.0890180i | |||||
−425.657 | −0.0226787 | −0.0113394 | − | 0.999936i | ||||||
−0.0113394 | + | 0.999936i | ||||||||
8667.66 | + | 22434.1i | 0.455138 | + | 1.17801i | |||||
−21843.4 | −1.13055 | −0.565276 | − | 0.824902i | ||||||
−0.565276 | + | 0.824902i | ||||||||
−343.069 | + | 311.613i | −0.0175035 | + | 0.0158986i | |||||
− | 15564.9i | − | 0.782903i | |||||||
1260.98 | + | 3263.74i | 0.0625362 | + | 0.161860i | |||||
− | 434.804i | − | 0.0212628i | |||||||
−751.119 | + | 7798.20i | −0.0362230 | + | 0.376071i | |||||
8572.39 | 0.407724 | |||||||||
−28666.0 | + | 11075.4i | −1.34481 | + | 0.519583i | |||||
16997.3 | 0.786584 | |||||||||
−26207.4 | − | 28853.0i | −1.19647 | − | 1.31725i | |||||
− | 19745.1i | − | 0.889381i | −0.895684 | − | 0.444690i | ||||
0.895684 | − | 0.444690i | ||||||||
−3311.02 | + | 1279.25i | −0.147156 | + | 0.0568554i | |||||
28379.1i | 1.24464i | 0.782761 | + | 0.622322i | ||||||
−0.782761 | + | 0.622322i | ||||||||
−9083.92 | + | 18119.4i | −0.393175 | + | 0.784253i | |||||
880.690 | 0.0376218 | |||||||||
−29.7174 | − | 76.9163i | −0.00125305 | − | 0.00324322i | |||||
−13349.3 | −0.555642 | |||||||||
4173.37 | + | 4594.66i | 0.171489 | + | 0.188801i | |||||
− | 4457.00i | − | 0.180819i | −0.995905 | − | 0.0904094i | ||||
0.995905 | − | 0.0904094i | ||||||||
2126.87 | + | 5504.90i | 0.0851977 | + | 0.220513i | |||||
− | 21593.3i | − | 0.854133i | |||||||
11025.7 | − | 3083.17i | 0.430691 | − | 0.120436i | |||||
−2194.31 | −0.0846538 | |||||||||
−11737.1 | + | 4534.74i | −0.447228 | + | 0.172791i | |||||
−1910.59 | −0.0719107 | −0.0359553 | − | 0.999353i | ||||||
−0.0359553 | + | 0.999353i | ||||||||
28820.8 | − | 26178.1i | 1.07156 | − | 0.973310i | |||||
− | 631.521i | − | 0.0231964i | |||||||
25556.8 | − | 9874.15i | 0.927451 | − | 0.358330i | |||||
50764.6i | 1.82024i | 0.414347 | + | 0.910119i | ||||||
−0.414347 | + | 0.910119i | ||||||||
1052.29 | + | 527.554i | 0.0372837 | + | 0.0186917i | |||||
25574.7 | 0.895443 | |||||||||
−463.830 | − | 1200.51i | −0.0160495 | − | 0.0415402i | |||||
9691.94 | 0.331450 | |||||||||
27692.4 | − | 25153.2i | 0.936059 | − | 0.850230i | |||||
− | 42367.9i | − | 1.41561i | −0.706407 | − | 0.707806i | ||||
0.706407 | − | 0.707806i | ||||||||
−7846.78 | − | 20309.5i | −0.259175 | − | 0.670811i | |||||
− | 323.855i | − | 0.0105749i | |||||||
−195.289 | + | 2027.51i | −0.00630454 | + | 0.0654544i | |||||
3231.16 | 0.103136 | |||||||||
48927.4 | − | 18903.6i | 1.54423 | − | 0.596630i | |||||
−51902.2 | −1.61987 | −0.809934 | − | 0.586521i | ||||||
−0.809934 | + | 0.586521i | ||||||||
−3680.73 | − | 4052.29i | −0.113603 | − | 0.125071i | |||||
8176.63i | 0.249584i | 0.992183 | + | 0.124792i | ||||||
−0.992183 | + | 0.124792i | ||||||||
−528.266 | + | 204.101i | −0.0159481 | + | 0.00616173i | |||||
27835.2i | 0.831175i | |||||||||
48456.2 | + | 24292.9i | 1.43125 | + | 0.717536i | |||||
27237.1 | 0.795824 | |||||||||
12219.4 | + | 31626.8i | 0.353201 | + | 0.914175i | |||||
228.977 | 0.00654801 | |||||||||
−23586.4 | − | 25967.4i | −0.667338 | − | 0.734704i | |||||
− | 2052.67i | − | 0.0574640i | |||||||
−5104.43 | − | 13211.6i | −0.141397 | − | 0.365971i | |||||
38144.4i | 1.04560i | 0.852456 | + | 0.522799i | ||||||
−0.852456 | + | 0.522799i | ||||||||
−17397.0 | − | 23299.6i | −0.471923 | − | 0.632042i | |||||
−35295.2 | −0.947547 | −0.473774 | − | 0.880647i | ||||||
−0.473774 | + | 0.880647i | ||||||||
−32101.0 | + | 12402.5i | −0.852932 | + | 0.329539i | |||||
−4337.33 | −0.114065 | |||||||||
28357.1 | − | 25757.0i | 0.738159 | − | 0.670476i | |||||
− | 6283.20i | − | 0.161901i | −0.996718 | − | 0.0809503i | ||||
0.996718 | − | 0.0809503i | ||||||||
908.525 | − | 351.018i | 0.0231743 | − | 0.00895364i | |||||
20814.6i | 0.525609i | 0.964849 | + | 0.262805i | ||||||
−0.964849 | + | 0.262805i | ||||||||
−3585.36 | + | 7151.59i | −0.0896339 | + | 0.178790i | |||||
−34237.7 | −0.847448 | |||||||||
−10328.6 | − | 26733.2i | −0.253128 | − | 0.655161i | |||||
1986.50 | 0.0482054 | |||||||||
−2419.65 | + | 2197.79i | −0.0581423 | + | 0.0528111i | |||||
27206.6i | 0.647391i | |||||||||
11547.6 | + | 29888.2i | 0.272119 | + | 0.704313i | |||||
− | 25918.9i | − | 0.604890i | |||||||
13925.1 | + | 1341.26i | 0.321864 | + | 0.0310018i | |||||
2519.88 | 0.0576883 | |||||||||
−767.269 | + | 296.442i | −0.0173984 | + | 0.00672205i | |||||
21192.8 | 0.476017 | 0.238009 | − | 0.971263i | ||||||
0.238009 | + | 0.971263i | ||||||||
−32721.7 | − | 36024.8i | −0.728054 | − | 0.801549i | |||||
6209.70i | 0.136871i | |||||||||
−7475.47 | + | 2888.23i | −0.163234 | + | 0.0630672i | |||||
26141.4i | 0.565526i | |||||||||
−22724.8 | + | 45328.4i | −0.487072 | + | 0.971546i | |||||
−3093.46 | −0.0656939 | |||||||||
29238.9 | + | 75677.7i | 0.615245 | + | 1.59241i | |||||
−54541.0 | −1.13720 | |||||||||
−956.981 | − | 1053.59i | −0.0197723 | − | 0.0217683i | |||||
− | 1572.63i | − | 0.0321990i | |||||||
−24931.6 | − | 64529.3i | −0.505876 | − | 1.30934i | |||||
− | 46813.2i | − | 0.941365i | −0.882303 | − | 0.470683i | ||||
0.882303 | − | 0.470683i | ||||||||
2555.01 | − | 714.468i | 0.0509209 | − | 0.0142392i | |||||
3825.34 | 0.0755622 | |||||||||
−2128.65 | + | 822.427i | −0.0416762 | + | 0.0161020i | |||||
1993.76 | 0.0386920 | 0.0193460 | − | 0.999813i | ||||||
0.0193460 | + | 0.999813i | ||||||||
−26628.1 | + | 24186.5i | −0.512237 | + | 0.465269i | |||||
45591.9i | 0.869394i | 0.900577 | + | 0.434697i | ||||||
−0.900577 | + | 0.434697i | ||||||||
−35331.4 | + | 13650.6i | −0.667890 | + | 0.258046i | |||||
− | 146.344i | − | 0.00274252i | |||||||
−43867.2 | − | 21992.2i | −0.815011 | − | 0.408595i | |||||
−82293.2 | −1.51584 | −0.757918 | − | 0.652350i | ||||||
−0.757918 | + | 0.652350i | ||||||||
−2410.82 | − | 6239.82i | −0.0440284 | − | 0.113957i | |||||
24513.1 | 0.443876 | |||||||||
5390.64 | − | 4896.36i | 0.0967869 | − | 0.0879123i | |||||
10473.8i | 0.186470i | |||||||||
−107.484 | − | 278.197i | −0.00189754 | − | 0.00491132i | |||||
− | 104832.i | − | 1.83527i | −0.397426 | − | 0.917634i | ||||
0.397426 | − | 0.917634i | ||||||||
20225.2 | + | 1948.08i | 0.351132 | + | 0.0338209i | |||||
10146.4 | 0.174693 | 0.0873467 | − | 0.996178i | ||||||
0.0873467 | + | 0.996178i | ||||||||
−54392.2 | + | 21015.0i | −0.928766 | + | 0.358838i | |||||
41843.3 | 0.708620 | |||||||||
42180.3 | + | 46438.4i | 0.708485 | + | 0.780005i | |||||
26768.9i | 0.445963i | |||||||||
64457.2 | − | 24903.7i | 1.06513 | − | 0.411523i | |||||
− | 17306.7i | − | 0.283675i | |||||||
68311.9 | + | 34247.3i | 1.11069 | + | 0.556830i | |||||
48625.3 | 0.784267 | |||||||||
−2014.68 | − | 5214.51i | −0.0322349 | − | 0.0834321i | |||||
14884.6 | 0.236260 | 0.118130 | − | 0.992998i | ||||||
0.118130 | + | 0.992998i | ||||||||
−852.942 | − | 939.045i | −0.0134313 | − | 0.0147872i | |||||
− | 6738.86i | − | 0.105280i | |||||||
−9179.35 | − | 23758.5i | −0.142280 | − | 0.368257i | |||||
− | 2284.14i | − | 0.0351270i | |||||||
−64331.2 | − | 12508.8i | −0.981616 | − | 0.190868i | |||||
63894.6 | 0.967382 | 0.483691 | − | 0.875239i | ||||||
0.483691 | + | 0.875239i | ||||||||
61933.6 | − | 23928.7i | 0.930436 | − | 0.359484i | |||||
6311.70 | 0.0940907 | |||||||||
−7236.10 | + | 6572.61i | −0.107043 | + | 0.0972280i | |||||
23464.3i | 0.344450i | |||||||||
64731.8 | − | 25009.8i | 0.943007 | − | 0.364341i | |||||
46265.3i | 0.668874i | 0.942418 | + | 0.334437i | ||||||
−0.942418 | + | 0.334437i | ||||||||
−1620.15 | + | 3231.66i | −0.0232459 | + | 0.0463679i | |||||
34007.2 | 0.484261 | |||||||||
−1182.86 | − | 3061.54i | −0.0167174 | − | 0.0432690i | |||||
93091.0 | 1.30583 | |||||||||
−57119.9 | + | 51882.4i | −0.795275 | + | 0.722355i | |||||
− | 87276.9i | − | 1.20613i | −0.797691 | − | 0.603066i | ||||
0.797691 | − | 0.603066i | ||||||||
−12769.5 | − | 33050.8i | −0.175165 | − | 0.453371i | |||||
− | 142380.i | − | 1.93869i | −0.245696 | − | 0.969347i | ||||
0.245696 | − | 0.969347i | ||||||||
−706.338 | + | 7333.27i | −0.00954717 | + | 0.0991197i | |||||
−1005.10 | −0.0134860 | |||||||||
−1588.21 | + | 613.622i | −0.0211547 | + | 0.00817334i | |||||
994.579 | 0.0131515 | |||||||||
64681.5 | + | 71210.9i | 0.849106 | + | 0.934821i | |||||
75663.5i | 0.986114i | 0.869997 | + | 0.493057i | ||||||
−0.869997 | + | 0.493057i | ||||||||
−81501.9 | + | 31489.1i | −1.05458 | + | 0.407447i | |||||
− | 36539.6i | − | 0.469413i | |||||||
−830.841 | + | 1657.25i | −0.0105975 | + | 0.0211384i | |||||
43571.0 | 0.551804 | 0.275902 | − | 0.961186i | ||||||
0.275902 | + | 0.961186i | ||||||||
−22438.2 | − | 58075.7i | −0.282156 | − | 0.730291i | |||||
67132.6 | 0.838225 | 0.419112 | − | 0.907934i | ||||||
0.419112 | + | 0.907934i | ||||||||
9409.93 | + | 10359.8i | 0.116667 | + | 0.128445i | |||||
− | 25136.8i | − | 0.309471i | |||||||
−626.807 | − | 1622.34i | −0.00766305 | − | 0.0198339i | |||||
6304.64i | 0.0765415i | |||||||||
8439.21 | + | 30179.4i | 0.101746 | + | 0.363853i | |||||
−82692.8 | −0.990084 | |||||||||
31985.3 | − | 12357.9i | 0.380324 | − | 0.146942i | |||||
−61076.4 | −0.721253 | |||||||||
−90992.4 | + | 82649.2i | −1.06718 | + | 0.969333i | |||||
− | 42456.8i | − | 0.494552i | −0.968945 | − | 0.247276i | ||||
0.968945 | − | 0.247276i | ||||||||
63420.3 | − | 24503.1i | 0.733725 | − | 0.283482i | |||||
5088.73i | 0.0584744i | |||||||||
−139379. | − | 69876.0i | −1.59080 | − | 0.797525i | |||||
6303.87 | 0.0714652 | |||||||||
−28464.3 | − | 73673.0i | −0.320530 | − | 0.829614i | |||||
−46283.0 | −0.517701 | |||||||||
−10509.9 | + | 9546.25i | −0.116777 | + | 0.106069i | |||||
6057.80i | 0.0668624i | |||||||||
40911.0 | + | 105888.i | 0.448566 | + | 1.16100i | |||||
− | 50863.5i | − | 0.554014i | |||||||
−7773.21 | + | 80702.2i | −0.0841110 | + | 0.873250i | |||||
−43837.5 | −0.471245 | |||||||||
3286.03 | − | 1269.59i | 0.0350936 | − | 0.0135588i | |||||
−22580.4 | −0.239582 | −0.119791 | − | 0.992799i | ||||||
−0.119791 | + | 0.992799i | ||||||||
−221.763 | − | 244.149i | −0.00233769 | − | 0.00257368i | |||||
56866.4i | 0.595578i | |||||||||
−49808.9 | + | 19244.2i | −0.518303 | + | 0.200252i | |||||
104096.i | 1.07625i | 0.842865 | + | 0.538125i | ||||||
−0.842865 | + | 0.538125i | ||||||||
22195.3 | + | 11127.3i | 0.228008 | + | 0.114309i | |||||
−84004.7 | −0.857462 | −0.428731 | − | 0.903432i | ||||||
−0.428731 | + | 0.903432i | ||||||||
−6425.16 | − | 16629.9i | −0.0651665 | − | 0.168668i | |||||
886.453 | 0.00893377 | |||||||||
15871.6 | + | 17473.8i | 0.158945 | + | 0.174990i | |||||
52955.1i | 0.526974i | 0.964663 | + | 0.263487i | ||||||
−0.964663 | + | 0.263487i | ||||||||
−31128.7 | − | 80569.0i | −0.307827 | − | 0.796735i | |||||
6100.65i | 0.0599508i | |||||||||
36694.4 | − | 27398.4i | 0.358344 | − | 0.267563i | |||||
−14223.1 | −0.138033 | |||||||||
−8187.40 | + | 3163.29i | −0.0789650 | + | 0.0305089i | |||||
9114.11 | 0.0873593 | |||||||||
−37256.1 | + | 33840.0i | −0.354901 | + | 0.322359i | |||||
− | 6830.84i | − | 0.0646706i | |||||||
−7128.80 | + | 2754.29i | −0.0670782 | + | 0.0259164i | |||||
143987.i | 1.34657i | |||||||||
69797.8 | − | 139223.i | 0.648775 | − | 1.29409i | |||||
5680.46 | 0.0524797 | |||||||||
−910.393 | − | 2356.33i | −0.00835990 | − | 0.0216375i | |||||
−61731.5 | −0.563444 | −0.281722 | − | 0.959496i | ||||||
−0.281722 | + | 0.959496i | ||||||||
81123.1 | − | 73684.8i | 0.735984 | − | 0.668501i | |||||
74553.0i | 0.672321i | |||||||||
73181.6 | + | 189413.i | 0.656008 | + | 1.69792i | |||||
− | 53920.8i | − | 0.480471i | |||||||
4686.83 | + | 451.433i | 0.0415146 | + | 0.00399867i | |||||
−15465.0 | −0.136173 | −0.0680865 | − | 0.997679i | ||||||
−0.0680865 | + | 0.997679i | ||||||||
95424.4 | − | 36868.2i | 0.835268 | − | 0.322715i | |||||
−4050.05 | −0.0352420 | |||||||||
−3461.28 | − | 3810.69i | −0.0299419 | − | 0.0329645i | |||||
− | 9500.20i | − | 0.0817004i | |||||||
36162.5 | − | 13971.8i | 0.309177 | − | 0.119454i | |||||
12423.8i | 0.105601i | |||||||||
67065.1 | − | 133773.i | 0.566735 | − | 1.13045i | |||||
−67222.7 | −0.564778 | |||||||||
−61077.0 | − | 158083.i | −0.510182 | − | 1.32048i | |||||
−74344.2 | −0.617431 | −0.308715 | − | 0.951154i | ||||||
−0.308715 | + | 0.951154i | ||||||||
−58555.8 | − | 64466.8i | −0.483516 | − | 0.532326i | |||||
82400.1i | 0.676514i | 0.941054 | + | 0.338257i | ||||||
−0.941054 | + | 0.338257i | ||||||||
−466.866 | − | 1208.37i | −0.00381115 | − | 0.00986422i | |||||
− | 43295.4i | − | 0.351421i | |||||||
2194.18 | + | 7846.58i | 0.0177087 | + | 0.0633279i | |||||
153677. | 1.23327 | 0.616635 | − | 0.787249i | ||||||
0.616635 | + | 0.787249i | ||||||||
12056.1 | − | 4658.00i | 0.0962055 | − | 0.0371700i | |||||
−9779.62 | −0.0776007 | |||||||||
155307. | − | 141066.i | 1.22543 | − | 1.11307i | |||||
− | 529.307i | − | 0.00415309i | |||||||
−193657. | + | 74821.5i | −1.51101 | + | 0.583795i | |||||
235554.i | 1.82768i | 0.406072 | + | 0.913841i | ||||||
−0.406072 | + | 0.913841i | ||||||||
−19575.2 | − | 9813.80i | −0.151044 | − | 0.0757237i | |||||
−30020.8 | −0.230360 | |||||||||
11787.3 | + | 30508.6i | 0.0899493 | + | 0.232812i | |||||
−103489. | −0.785379 | |||||||||
−1676.84 | + | 1523.08i | −0.0126557 | + | 0.0114953i | |||||
− | 85896.3i | − | 0.644746i | |||||||
40126.9 | + | 103859.i | 0.299553 | + | 0.775319i | |||||
− | 112718.i | − | 0.836878i | −0.908245 | − | 0.418439i | ||||
0.908245 | − | 0.418439i | ||||||||
215820. | + | 20787.7i | 1.59366 | + | 0.153501i | |||||
−74469.7 | −0.546924 | |||||||||
101627. | − | 39264.6i | 0.742344 | − | 0.286812i | |||||
7880.56 | 0.0572545 | |||||||||
91185.6 | + | 100391.i | 0.658932 | + | 0.725449i | |||||
− | 16080.3i | − | 0.115578i | −0.998329 | − | 0.0577892i | ||||
0.998329 | − | 0.0577892i | ||||||||
854.359 | − | 330.091i | 0.00610798 | − | 0.00235988i | |||||
− | 9921.30i | − | 0.0705515i | |||||||
−125440. | − | 62887.6i | −0.887277 | − | 0.444825i | |||||
41899.7 | 0.294801 | |||||||||
−2959.10 | − | 7658.92i | −0.0207098 | − | 0.0536023i | |||||
208815. | 1.45373 | 0.726864 | − | 0.686781i | ||||||
0.726864 | + | 0.686781i | ||||||||
−38091.2 | − | 41936.4i | −0.263790 | − | 0.290419i | |||||
− | 45203.8i | − | 0.311404i | |||||||
54988.5 | + | 142324.i | 0.376830 | + | 0.975332i | |||||
96057.8i | 0.654840i | 0.944879 | + | 0.327420i | ||||||
−0.944879 | + | 0.327420i | ||||||||
−98500.0 | − | 61856.1i | −0.667996 | − | 0.419488i | |||||
230.476 | 0.00155490 | |||||||||
−131693. | + | 50881.1i | −0.883871 | + | 0.341493i | |||||
−71554.0 | −0.477763 | |||||||||
−101896. | + | 92552.7i | −0.676850 | + | 0.614788i | |||||
− | 168851.i | − | 1.11584i | −0.829893 | − | 0.557922i | ||||
0.829893 | − | 0.557922i | ||||||||
−16183.4 | + | 6252.64i | −0.106400 | + | 0.0411087i | |||||
− | 24373.6i | − | 0.159429i | |||||||
68675.0 | − | 136984.i | 0.446917 | − | 0.891449i | |||||
123161. | 0.797422 | |||||||||
−9057.78 | − | 23443.9i | −0.0583485 | − | 0.151021i | |||||
−16495.1 | −0.105721 | |||||||||
2883.86 | − | 2619.44i | 0.0183901 | − | 0.0167039i | |||||
− | 189472.i | − | 1.20216i | −0.799188 | − | 0.601081i | ||||
0.799188 | − | 0.601081i | ||||||||
30006.1 | + | 77663.5i | 0.189428 | + | 0.490288i | |||||
− | 5824.99i | − | 0.0365889i | |||||||
−3068.03 | + | 31852.6i | −0.0191752 | + | 0.199079i | |||||
120359. | 0.748494 | 0.374247 | − | 0.927329i | ||||||
0.374247 | + | 0.927329i | ||||||||
−127748. | + | 49356.7i | −0.790499 | + | 0.305417i | |||||
−65248.1 | −0.401751 | |||||||||
−77076.4 | − | 84857.1i | −0.472236 | − | 0.519907i | |||||
− | 35169.5i | − | 0.214415i | |||||||
7412.01 | − | 2863.71i | 0.0449660 | − | 0.0173731i | |||||
19383.6i | 0.117016i | |||||||||
−5859.88 | + | 11688.5i | −0.0352021 | + | 0.0702165i | |||||
150488. | 0.899615 | 0.449807 | − | 0.893126i | ||||||
0.449807 | + | 0.893126i | ||||||||
39220.7 | + | 101513.i | 0.233318 | + | 0.603886i | |||||
−3021.79 | −0.0178887 | |||||||||
86173.0 | + | 94871.9i | 0.507664 | + | 0.558912i | |||||
1179.22i | 0.00691346i | |||||||||
−37364.4 | − | 96708.6i | −0.218000 | − | 0.564241i | |||||
76579.7i | 0.444649i | |||||||||
53890.9 | − | 15069.8i | 0.311407 | − | 0.0870802i | |||||
−155068. | −0.891767 | |||||||||
9402.17 | − | 3632.63i | 0.0538116 | − | 0.0207907i | |||||
288889. | 1.64552 | 0.822761 | − | 0.568388i | ||||||
0.822761 | + | 0.568388i | ||||||||
−2435.48 | + | 2212.17i | −0.0138066 | + | 0.0125406i | |||||
− | 182304.i | − | 1.02857i | −0.857620 | − | 0.514284i | ||||
0.857620 | − | 0.514284i | ||||||||
79074.4 | − | 30551.2i | 0.444029 | − | 0.171555i | |||||
67096.9i | 0.374992i | |||||||||
−174024. | − | 87244.6i | −0.968004 | − | 0.485296i | |||||
3597.27 | 0.0199157 | |||||||||
8951.83 | + | 23169.6i | 0.0493279 | + | 0.127673i | |||||
−10158.6 | −0.0557155 | |||||||||
−23728.8 | + | 21553.1i | −0.129535 | + | 0.117658i | |||||
− | 3086.72i | − | 0.0167719i | |||||||
37685.2 | + | 97538.8i | 0.203814 | + | 0.527522i | |||||
100495.i | 0.540992i | 0.962721 | + | 0.270496i | ||||||
−0.962721 | + | 0.270496i | ||||||||
−19445.9 | + | 201889.i | −0.104198 | + | 1.08180i | |||||
328152. | 1.75025 | 0.875124 | − | 0.483898i | ||||||
0.875124 | + | 0.483898i | ||||||||
−11542.3 | + | 4459.49i | −0.0612792 | + | 0.0236759i | |||||
60856.3 | 0.321608 | |||||||||
218192. | + | 240218.i | 1.14780 | + | 1.26367i | |||||
− | 268230.i | − | 1.40458i | |||||||
−203503. | + | 78625.6i | −1.06077 | + | 0.409842i | |||||
155253.i | 0.805582i | 0.915292 | + | 0.402791i | ||||||
−0.915292 | + | 0.402791i | ||||||||
−5089.52 | − | 2551.56i | −0.0262888 | − | 0.0131796i | |||||
−73271.7 | −0.376755 | |||||||||
−2267.09 | − | 5867.80i | −0.0116044 | − | 0.0300352i | |||||
−337851. | −1.72154 | −0.860772 | − | 0.508991i | ||||||
−0.860772 | + | 0.508991i | ||||||||
−186049. | − | 204831.i | −0.943761 | − | 1.03903i | |||||
146608.i | 0.740353i | |||||||||
−67485.2 | − | 174669.i | −0.339265 | − | 0.878105i | |||||
− | 140173.i | − | 0.701534i | |||||||
8503.26 | − | 6349.09i | 0.0423672 | − | 0.0316341i | |||||
−245472. | −1.21761 | −0.608806 | − | 0.793319i | ||||||
−0.608806 | + | 0.793319i | ||||||||
14273.1 | − | 5514.56i | 0.0704844 | − | 0.0272324i | |||||
−19361.9 | −0.0951910 | |||||||||
−6756.82 | + | 6137.28i | −0.0330724 | + | 0.0300399i | |||||
201466.i | 0.981762i | |||||||||
7439.12 | − | 2874.18i | 0.0360919 | − | 0.0139445i | |||||
− | 1582.92i | − | 0.00764605i | |||||||
−64487.7 | + | 128631.i | −0.310132 | + | 0.618611i | |||||
−115007. | −0.550671 | −0.275336 | − | 0.961348i | ||||||
−0.275336 | + | 0.961348i | ||||||||
65724.7 | + | 170112.i | 0.313327 | + | 0.810970i | |||||
22800.4 | 0.108222 | |||||||||
−112150. | + | 101866.i | −0.530008 | + | 0.481410i | |||||
115456.i | 0.543270i | 0.962400 | + | 0.271635i | ||||||
−0.962400 | + | 0.271635i | ||||||||
−210.967 | − | 546.037i | −0.000988395 | − | 0.00255822i | |||||
− | 308334.i | − | 1.43833i | −0.694837 | − | 0.719167i | ||||
0.694837 | − | 0.719167i | ||||||||
−195381. | − | 18819.0i | −0.907498 | − | 0.0874099i | |||||
−94768.1 | −0.438285 | |||||||||
−307052. | + | 118633.i | −1.41397 | + | 0.546302i | |||||
−234153. | −1.07366 | −0.536829 | − | 0.843691i | ||||||
−0.536829 | + | 0.843691i | ||||||||
−17990.5 | − | 19806.6i | −0.0821393 | − | 0.0904311i | |||||
− | 12495.2i | − | 0.0568063i | |||||||
91463.0 | − | 35337.7i | 0.414047 | − | 0.159972i | |||||
− | 31640.7i | − | 0.142628i | |||||||
13055.0 | − | 26040.4i | 0.0585994 | − | 0.116886i | |||||
−18603.9 | −0.0831536 | |||||||||
15098.9 | + | 39079.8i | 0.0672030 | + | 0.173939i | |||||
39587.8 | 0.175458 | |||||||||
−802.090 | − | 883.059i | −0.00354005 | − | 0.00389741i | |||||
93084.2i | 0.409109i | |||||||||
−151125. | − | 391150.i | −0.661425 | − | 1.71194i | |||||
175880.i | 0.766558i | 0.923633 | + | 0.383279i | ||||||
−0.923633 | + | 0.383279i | ||||||||
78272.6 | − | 21887.7i | 0.339725 | − | 0.0949988i | |||||
133128. | 0.575412 | |||||||||
37858.1 | − | 14626.9i | 0.162954 | − | 0.0629589i | |||||
−15577.6 | −0.0667740 | |||||||||
−172653. | + | 156822.i | −0.737028 | + | 0.669448i | |||||
− | 96188.9i | − | 0.408923i | |||||||
156126. | − | 60320.7i | 0.661000 | − | 0.255384i | |||||
− | 289085.i | − | 1.21890i | −0.792826 | − | 0.609449i | ||||
0.792826 | − | 0.609449i | ||||||||
224328. | + | 112464.i | 0.941985 | + | 0.472252i | |||||
−13563.5 | −0.0567224 | |||||||||
38589.8 | + | 99880.2i | 0.160724 | + | 0.415994i | |||||
182813. | 0.758304 | 0.379152 | − | 0.925334i | ||||||
0.379152 | + | 0.925334i | ||||||||
204602. | − | 185841.i | 0.845237 | − | 0.767736i | |||||
22065.3i | 0.0907855i | |||||||||
−24949.2 | − | 64574.8i | −0.102236 | − | 0.264612i | |||||
2722.35i | 0.0111105i | |||||||||
304255. | + | 29305.8i | 1.23673 | + | 0.119121i | |||||
−2266.25 | −0.00917477 | |||||||||
181431. | − | 70097.7i | 0.731563 | − | 0.282647i | |||||
463712. | 1.86229 | 0.931145 | − | 0.364650i | ||||||
0.931145 | + | 0.364650i | ||||||||
−15034.3 | − | 16552.0i | −0.0601373 | − | 0.0662080i | |||||
360383.i | 1.43578i | |||||||||
55537.3 | − | 21457.4i | 0.220383 | − | 0.0851472i | |||||
− | 173588.i | − | 0.686094i | −0.939318 | − | 0.343047i | ||||
0.939318 | − | 0.343047i | ||||||||
−4536.21 | − | 2274.17i | −0.0178580 | − | 0.00895286i | |||||
80104.6 | 0.314105 | |||||||||
−9714.65 | − | 25144.0i | −0.0379425 | − | 0.0982050i | |||||
181558. | 0.706316 | |||||||||
−68499.9 | − | 75414.8i | −0.265438 | − | 0.292233i | |||||
231066.i | 0.891867i | 0.895066 | + | 0.445934i | ||||||
−0.895066 | + | 0.445934i | ||||||||
−3292.78 | − | 8522.56i | −0.0126597 | − | 0.0327665i | |||||
− | 19904.9i | − | 0.0762287i | |||||||
−258065. | + | 46066.4i | −0.984439 | + | 0.175729i | |||||
250917. | 0.953443 | |||||||||
238403. | − | 92109.7i | 0.902373 | − | 0.348641i | |||||
−89558.5 | −0.337670 | |||||||||
196591. | − | 178565.i | 0.738353 | − | 0.670653i | |||||
17445.0i | 0.0652665i | |||||||||
23550.2 | − | 9098.87i | 0.0877678 | − | 0.0339100i | |||||
− | 300774.i | − | 1.11662i | |||||||
−17524.3 | + | 34955.2i | −0.0648089 | + | 0.129272i | |||||
39770.4 | 0.146516 | 0.0732578 | − | 0.997313i | ||||||
0.0732578 | + | 0.997313i | ||||||||
33825.8 | + | 87549.8i | 0.124139 | + | 0.321302i | |||||
−71651.8 | −0.261953 | −0.130977 | − | 0.991385i | ||||||
−0.130977 | + | 0.991385i | ||||||||
205473. | − | 186633.i | 0.748329 | − | 0.679713i | |||||
− | 2299.08i | − | 0.00834134i | |||||||
66695.5 | + | 172625.i | 0.241060 | + | 0.623925i | |||||
− | 34361.1i | − | 0.123722i | |||||||
−1386.38 | + | 14393.5i | −0.00497295 | + | 0.0516297i | |||||
−437481. | −1.56332 | |||||||||
126888. | − | 49024.4i | 0.451718 | − | 0.174526i | |||||
−13928.8 | −0.0493998 | |||||||||
−8826.95 | − | 9718.01i | −0.0311880 | − | 0.0343364i | |||||
132979.i | 0.468090i | |||||||||
347341. | − | 134199.i | 1.21807 | − | 0.470615i | |||||
− | 22399.9i | − | 0.0782596i | |||||||
−138332. | + | 275927.i | −0.481498 | + | 0.960427i | |||||
−368459. | −1.27774 | |||||||||
−125817. | − | 325647.i | −0.434686 | − | 1.12508i | |||||
−19050.5 | −0.0655734 | |||||||||
−95291.1 | − | 104911.i | −0.326787 | − | 0.359775i | |||||
335147.i | 1.14509i | 0.819873 | + | 0.572546i | ||||||
−0.819873 | + | 0.572546i | ||||||||
−205253. | − | 531246.i | −0.698699 | − | 1.80841i | |||||
58046.7i | 0.196869i | |||||||||
7936.07 | + | 28380.1i | 0.0268168 | + | 0.0958996i | |||||
−226764. | −0.763452 | |||||||||
−3750.22 | + | 1448.94i | −0.0125797 | + | 0.00486031i | |||||
−174207. | −0.582225 | −0.291112 | − | 0.956689i | ||||||
−0.291112 | + | 0.956689i | ||||||||
−5041.34 | + | 4579.09i | −0.0167874 | + | 0.0152482i | |||||
− | 119992.i | − | 0.398113i | |||||||
3710.97 | − | 1433.77i | 0.0122677 | − | 0.00473974i | |||||
242828.i | 0.799825i | |||||||||
343996. | + | 172458.i | 1.12895 | + | 0.565985i | |||||
−3822.45 | −0.0124995 | |||||||||
109076. | + | 282315.i | 0.355392 | + | 0.919846i | |||||
193359. | 0.627738 | |||||||||
−258705. | + | 234984.i | −0.836866 | + | 0.760132i | |||||
179035.i | 0.577069i | 0.957470 | + | 0.288534i | ||||||
−0.957470 | + | 0.288534i | ||||||||
−52675.0 | − | 136336.i | −0.169175 | − | 0.437868i | |||||
127773.i | 0.408898i | |||||||||
−710.960 | + | 7381.26i | −0.00226709 | + | 0.0235372i | |||||
1625.53 | 0.00516500 | |||||||||
162572. | − | 62811.4i | 0.514722 | − | 0.198868i | |||||
−126413. | −0.398819 | −0.199410 | − | 0.979916i | ||||||
−0.199410 | + | 0.979916i | ||||||||
−167442. | − | 184345.i | −0.526389 | − | 0.579527i | |||||
− | 6378.40i | − | 0.0199809i | |||||||
250485. | − | 96777.5i | 0.781895 | − | 0.302094i | |||||
− | 8149.90i | − | 0.0253505i | |||||||
50044.9 | + | 25089.4i | 0.155118 | + | 0.0777665i | |||||
−160597. | −0.496035 | −0.248017 | − | 0.968756i | ||||||
−0.248017 | + | 0.968756i | ||||||||
−36236.9 | − | 93790.3i | −0.111532 | − | 0.288674i | |||||
−372210. | −1.14160 | −0.570802 | − | 0.821088i | ||||||
−0.570802 | + | 0.821088i | ||||||||
−4677.48 | − | 5149.66i | −0.0142962 | − | 0.0157393i | |||||
270791.i | 0.824756i | |||||||||
9088.69 | + | 23523.9i | 0.0275853 | + | 0.0713978i | |||||
− | 105869.i | − | 0.320208i | |||||||
74994.6 | + | 100440.i | 0.226040 | + | 0.302733i | |||||
328066. | 0.985393 | 0.492696 | − | 0.870201i | ||||||
0.492696 | + | 0.870201i | ||||||||
−308543. | + | 119209.i | −0.923550 | + | 0.356823i | |||||
−250564. | −0.747415 | |||||||||
101528. | − | 92219.2i | 0.301809 | − | 0.274135i | |||||
17746.0i | 0.0525712i | |||||||||
−227888. | + | 88047.0i | −0.672784 | + | 0.259937i | |||||
24201.7i | 0.0712047i | |||||||||
−220365. | + | 439554.i | −0.646125 | + | 1.28880i | |||||
18697.3 | 0.0546345 | |||||||||
−61205.2 | − | 158415.i | −0.178235 | − | 0.461318i | |||||
128807. | 0.373822 | 0.186911 | − | 0.982377i | ||||||
0.186911 | + | 0.982377i | ||||||||
201310. | − | 182852.i | 0.582252 | − | 0.528864i | |||||
− | 378142.i | − | 1.08999i | |||||||
7335.85 | + | 18987.1i | 0.0210740 | + | 0.0545449i | |||||
− | 44605.1i | − | 0.127706i | |||||||
−620784. | − | 59793.6i | −1.77132 | − | 0.170613i | |||||
−210780. | −0.599405 | −0.299703 | − | 0.954033i | ||||||
−0.299703 | + | 0.954033i | ||||||||
23521.0 | − | 9087.58i | 0.0666627 | − | 0.0257558i | |||||
833.603 | 0.00235464 | |||||||||
−212412. | − | 233855.i | −0.597980 | − | 0.658345i | |||||
147765.i | 0.414595i | |||||||||
−172691. | + | 66720.9i | −0.482911 | + | 0.186578i | |||||
− | 187457.i | − | 0.522453i | −0.965278 | − | 0.261226i | ||||
0.965278 | − | 0.261226i | ||||||||
−25452.8 | + | 50769.9i | −0.0707023 | + | 0.141027i | |||||
14463.8 | 0.0400436 | 0.0200218 | − | 0.999800i | ||||||
0.0200218 | + | 0.999800i | ||||||||
8732.85 | + | 22602.9i | 0.0240970 | + | 0.0623692i | |||||
147591. | 0.405907 | |||||||||
305294. | + | 336113.i | 0.836843 | + | 0.921321i | |||||
− | 162984.i | − | 0.445280i | |||||||
−73324.1 | − | 189782.i | −0.199665 | − | 0.516784i | |||||
579553.i | 1.57295i | 0.617620 | + | 0.786477i | ||||||
−0.617620 | + | 0.786477i | ||||||||
87336.0 | + | 312322.i | 0.236258 | + | 0.844880i | |||||
14102.4 | 0.0380239 | |||||||||
−163566. | + | 63195.6i | −0.439577 | + | 0.169835i | |||||
119814. | 0.320940 | |||||||||
10430.6 | − | 9474.19i | 0.0278488 | − | 0.0252953i | |||||
− | 377775.i | − | 1.00534i | −0.864479 | − | 0.502669i | ||||
0.864479 | − | 0.502669i | ||||||||
−84251.9 | + | 32551.6i | −0.223482 | + | 0.0863448i | |||||
193143.i | 0.510656i | |||||||||
−1179.40 | − | 591.279i | −0.00310814 | − | 0.00155823i | |||||
699981. | 1.83872 | 0.919361 | − | 0.393414i | ||||||
0.919361 | + | 0.393414i | ||||||||
81977.9 | + | 212180.i | 0.214644 | + | 0.555555i | |||||
−117981. | −0.307915 | −0.153957 | − | 0.988077i | ||||||
−0.153957 | + | 0.988077i | ||||||||
−158105. | + | 143608.i | −0.411302 | + | 0.373589i | |||||
− | 671020.i | − | 1.74001i | |||||||
150064. | + | 388403.i | 0.387877 | + | 1.00393i | |||||
33973.9i | 0.0875324i | |||||||||
98855.8 | + | 9521.75i | 0.253883 | + | 0.0244539i | |||||
15625.0 | 0.0400000 | |||||||||
−313438. | + | 121100.i | −0.799840 | + | 0.309027i | |||||
17888.9 | 0.0455039 | |||||||||
−47947.0 | − | 52787.2i | −0.121575 | − | 0.133847i | |||||
70108.2i | 0.177202i | |||||||||
3307.53 | − | 1277.90i | 0.00833341 | − | 0.00321970i | |||||
− | 749113.i | − | 1.88143i | −0.339193 | − | 0.940717i | ||||
0.339193 | − | 0.940717i | ||||||||
84409.9 | + | 42317.8i | 0.211329 | + | 0.105947i | |||||
150450. | 0.375478 | |||||||||
76339.3 | + | 197586.i | 0.189920 | + | 0.491561i | |||||
71191.1 | 0.176554 | |||||||||
−232295. | − | 255744.i | −0.574281 | − | 0.632254i | |||||
130840.i | 0.322449i | |||||||||
8794.62 | + | 22762.7i | 0.0216061 | + | 0.0559220i | |||||
− | 26768.7i | − | 0.0655579i | |||||||
97416.8 | − | 155127.i | 0.237834 | − | 0.378728i | |||||
190520. | 0.463686 | 0.231843 | − | 0.972753i | ||||||
0.231843 | + | 0.972753i | ||||||||
−53069.1 | + | 20503.8i | −0.128757 | + | 0.0497467i | |||||
272152. | 0.658248 | 0.329124 | − | 0.944287i | ||||||
0.329124 | + | 0.944287i | ||||||||
−25988.7 | + | 23605.7i | −0.0626631 | + | 0.0569174i | |||||
185581.i | 0.446081i | |||||||||
34006.5 | − | 13138.8i | 0.0814887 | − | 0.0314840i | |||||
− | 26959.8i | − | 0.0644034i | −0.999481 | − | 0.0322017i | ||||
0.999481 | − | 0.0322017i | ||||||||
−90226.4 | + | 179971.i | −0.214874 | + | 0.428602i | |||||
−3621.46 | −0.00859794 | |||||||||
−9847.25 | − | 25487.2i | −0.0233071 | − | 0.0603247i | |||||
−21960.8 | −0.0518187 | |||||||||
−22628.4 | + | 20553.6i | −0.0532303 | + | 0.0483495i | |||||
− | 497282.i | − | 1.16621i | −0.812397 | − | 0.583104i | ||||
0.812397 | − | 0.583104i | ||||||||
207570. | + | 537244.i | 0.485299 | + | 1.25608i | |||||
193965.i | 0.452108i | |||||||||
59726.8 | − | 620089.i | 0.138791 | − | 1.44094i | |||||
235115. | 0.544689 | |||||||||
21194.9 | − | 8188.88i | 0.0489530 | − | 0.0189135i | |||||
150938. | 0.347558 | 0.173779 | − | 0.984785i | ||||||
0.173779 | + | 0.984785i | ||||||||
−6793.71 | − | 7479.52i | −0.0155962 | − | 0.0171706i | |||||
− | 535544.i | − | 1.22572i | −0.790191 | − | 0.612861i | ||||
0.790191 | − | 0.612861i | ||||||||
−230332. | + | 88991.3i | −0.525580 | + | 0.203063i | |||||
− | 11164.3i | − | 0.0253982i | |||||||
196463. | − | 391879.i | 0.445600 | − | 0.888823i | |||||
9173.75 | 0.0207445 | |||||||||
107475. | + | 278172.i | 0.242302 | + | 0.627141i | |||||
649388. | 1.45966 | |||||||||
546110. | + | 601239.i | 1.22385 | + | 1.34739i | |||||
− | 332332.i | − | 0.742539i | |||||||
−77731.6 | − | 201189.i | −0.173160 | − | 0.448183i | |||||
− | 31197.5i | − | 0.0692908i | |||||||
18138.3 | − | 5072.09i | 0.0401659 | − | 0.0112318i | |||||
−189265. | −0.417868 | −0.208934 | − | 0.977930i | ||||||
−0.208934 | + | 0.977930i | ||||||||
−57703.1 | + | 22294.2i | −0.127022 | + | 0.0490763i | |||||
99034.9 | 0.217361 | |||||||||
302898. | − | 275125.i | 0.662832 | − | 0.602056i | |||||
464037.i | 1.01245i | 0.862400 | + | 0.506227i | ||||||
−0.862400 | + | 0.506227i | ||||||||
−15111.5 | + | 5838.50i | −0.0328737 | + | 0.0127011i | |||||
− | 22290.0i | − | 0.0483472i | |||||||
−18408.2 | − | 9228.70i | −0.0398101 | − | 0.0199583i | |||||
14153.9 | 0.0305199 | |||||||||
−13695.4 | − | 35447.1i | −0.0294446 | − | 0.0762100i | |||||
−42942.9 | −0.0920556 | −0.0460278 | − | 0.998940i | ||||||
−0.0460278 | + | 0.998940i | ||||||||
114788. | − | 104263.i | 0.245349 | − | 0.222853i | |||||
− | 4758.99i | − | 0.0101422i | |||||||
17910.0 | + | 46355.8i | 0.0380582 | + | 0.0985044i | |||||
323661.i | 0.685769i | |||||||||
57388.3 | − | 595812.i | 0.121240 | − | 1.25873i | |||||
166219. | 0.350140 | |||||||||
−250821. | + | 96907.4i | −0.526824 | + | 0.203544i | |||||
−695800. | −1.45723 | −0.728615 | − | 0.684924i | ||||||
−0.728615 | + | 0.684924i | ||||||||
−455780. | − | 501790.i | −0.951795 | − | 1.04788i | |||||
630.855i | 0.00131360i | |||||||||
−277393. | + | 107174.i | −0.575939 | + | 0.222520i | |||||
− | 244216.i | − | 0.505598i | |||||||
−311418. | − | 156125.i | −0.642872 | − | 0.322296i | |||||
−70029.8 | −0.144151 | |||||||||
118787. | + | 307451.i | 0.243814 | + | 0.631052i | |||||
−584208. | −1.19568 | |||||||||
−3483.93 | − | 3835.63i | −0.00711007 | − | 0.00782781i | |||||
243528.i | 0.495580i | 0.968814 | + | 0.247790i | ||||||
−0.968814 | + | 0.247790i | ||||||||
−62414.2 | − | 161544.i | −0.126651 | − | 0.327805i | |||||
771536.i | 1.56115i | |||||||||
19498.4 | + | 26114.0i | 0.0393418 | + | 0.0526901i | |||||
174021. | 0.350125 | |||||||||
573397. | − | 221538.i | 1.15039 | − | 0.444467i | |||||
18562.8 | 0.0371368 | |||||||||
38268.7 | − | 34759.8i | 0.0763445 | − | 0.0693443i | |||||
210565.i | 0.418883i | 0.977821 | + | 0.209442i | ||||||
−0.977821 | + | 0.209442i | ||||||||
−36489.7 | + | 14098.2i | −0.0723858 | + | 0.0279670i | |||||
− | 45150.3i | − | 0.0893144i | |||||||
376120. | − | 750234.i | 0.741936 | − | 1.47991i | |||||
−1.01126e6 | −1.98922 | |||||||||
−763.042 | − | 1974.95i | −0.00149676 | − | 0.00387400i | |||||
4861.25 | 0.00950903 | |||||||||
−614712. | + | 558348.i | −1.19907 | + | 1.08913i | |||||
− | 744216.i | − | 1.44764i | |||||||
339571. | + | 878897.i | 0.658691 | + | 1.70486i | |||||
174495.i | 0.337539i | 0.985656 | + | 0.168770i | ||||||
−0.985656 | + | 0.168770i | ||||||||
−87186.5 | − | 8397.77i | −0.168184 | − | 0.0161994i | |||||
−20753.6 | −0.0399229 | |||||||||
−112013. | + | 43277.6i | −0.214880 | + | 0.0830211i | |||||
72030.1 | 0.137796 | |||||||||
87961.6 | + | 96841.1i | 0.167809 | + | 0.184749i | |||||
95842.3i | 0.182340i | |||||||||
−386136. | + | 149188.i | −0.732601 | + | 0.283048i | |||||
511384.i | 0.967561i | 0.875189 | + | 0.483781i | ||||||
−0.875189 | + | 0.483781i | ||||||||
−4060.94 | + | 8100.23i | −0.00766239 | + | 0.0152839i | |||||
551848. | 1.03840 | |||||||||
−123827. | − | 320496.i | −0.232365 | − | 0.601419i | |||||
−67288.0 | −0.125922 | |||||||||
299443. | + | 329671.i | 0.558845 | + | 0.615259i | |||||
384728.i | 0.716055i | 0.933711 | + | 0.358027i | ||||||
−0.933711 | + | 0.358027i | ||||||||
−162493. | − | 420574.i | −0.301608 | − | 0.780639i | |||||
190036.i | 0.351771i | |||||||||
835234. | − | 233560.i | 1.54189 | − | 0.431165i | |||||
38373.4 | 0.0706473 | |||||||||
−277861. | + | 107355.i | −0.510170 | + | 0.197110i | |||||
−66307.5 | −0.121415 | −0.0607077 | − | 0.998156i | ||||||
−0.0607077 | + | 0.998156i | ||||||||
322586. | − | 293008.i | 0.589091 | − | 0.535077i | |||||
− | 122862.i | − | 0.223760i | |||||||
29403.9 | − | 11360.5i | 0.0534069 | − | 0.0206343i | |||||
− | 786533.i | − | 1.42475i | −0.701798 | − | 0.712376i | ||||
0.701798 | − | 0.712376i | ||||||||
484953. | + | 243125.i | 0.876101 | + | 0.439222i | |||||
220757. | 0.397743 | |||||||||
−23181.2 | − | 59998.8i | −0.0416541 | − | 0.107811i | |||||
−209613. | −0.375645 | |||||||||
2711.93 | − | 2463.27i | 0.00484702 | − | 0.00440259i | |||||
− | 5190.76i | − | 0.00925268i | |||||||
−14302.4 | − | 37018.3i | −0.0254265 | − | 0.0658104i | |||||
743780.i | 1.31876i | 0.751811 | + | 0.659379i | ||||||
−0.751811 | + | 0.659379i | ||||||||
−558698. | − | 53813.6i | −0.987965 | − | 0.0951604i | |||||
105667. | 0.186359 | |||||||||
156336. | − | 60402.1i | 0.274990 | − | 0.106245i | |||||
−317288. | −0.556622 | |||||||||
−22082.0 | − | 24311.1i | −0.0386362 | − | 0.0425365i | |||||
378393.i | 0.660315i | 0.943926 | + | 0.330158i | ||||||
−0.943926 | + | 0.330158i | ||||||||
779130. | − | 301025.i | 1.35604 | − | 0.523919i | |||||
− | 47839.9i | − | 0.0830437i | |||||||
−202581. | − | 101561.i | −0.350729 | − | 0.175833i | |||||
−487660. | −0.842070 | −0.421035 | − | 0.907044i | ||||||
−0.421035 | + | 0.907044i | ||||||||
−65165.2 | − | 168664.i | −0.112229 | − | 0.290478i | |||||
−52548.6 | −0.0902634 | |||||||||
410346. | + | 451770.i | 0.703013 | + | 0.773981i | |||||
9846.41i | 0.0168250i | |||||||||
138476. | + | 358410.i | 0.236002 | + | 0.610834i | |||||
24872.5i | 0.0422793i | |||||||||
−456694. | − | 88800.9i | −0.774288 | − | 0.150555i | |||||
−264950. | −0.448034 | −0.224017 | − | 0.974585i | ||||||
−0.224017 | + | 0.974585i | ||||||||
859.950 | − | 332.251i | 0.00145041 | − | 0.000560382i | |||||
453595. | 0.763061 | |||||||||
−418024. | + | 379695.i | −0.701401 | + | 0.637089i | |||||
− | 515794.i | − | 0.863212i | −0.902062 | − | 0.431606i | ||||
0.902062 | − | 0.431606i | ||||||||
−266982. | + | 103151.i | −0.445657 | + | 0.172184i | |||||
− | 149250.i | − | 0.248491i | |||||||
−246770. | + | 492224.i | −0.409797 | + | 0.817408i | |||||
44807.4 | 0.0742178 | |||||||||
−243413. | − | 630015.i | −0.402147 | − | 1.04086i | |||||
−770674. | −1.26998 | |||||||||
−51369.8 | + | 46659.7i | −0.0844343 | + | 0.0766924i | |||||
− | 6959.79i | − | 0.0114102i | |||||||
−35136.7 | − | 90942.8i | −0.0574576 | − | 0.148715i | |||||
607471.i | 0.990836i | |||||||||
58765.9 | − | 610114.i | 0.0956078 | − | 0.992610i | |||||
49830.8 | 0.0808646 | |||||||||
459538. | − | 177547.i | 0.743834 | − | 0.287388i | |||||
−537891. | −0.868449 | −0.434225 | − | 0.900805i | ||||||
−0.434225 | + | 0.900805i | ||||||||
−67592.7 | − | 74416.1i | −0.108855 | − | 0.119843i | |||||
328443.i | 0.527601i | |||||||||
−61546.6 | + | 23779.2i | −0.0986166 | + | 0.0381016i | |||||
− | 1478.08i | − | 0.00236235i | |||||||
6984.11 | − | 13931.0i | 0.0111342 | − | 0.0222091i | |||||
−214267. | −0.340729 | |||||||||
−273140. | − | 706955.i | −0.433255 | − | 1.12138i | |||||
241421. | 0.381980 | |||||||||
223917. | + | 246521.i | 0.353396 | + | 0.389071i | |||||
839237.i | 1.32120i | 0.750739 | + | 0.660599i | ||||||
−0.750739 | + | 0.660599i | ||||||||
−8397.24 | − | 21734.2i | −0.0131865 | − | 0.0341301i | |||||
63096.6i | 0.0988353i | |||||||||
34470.9 | + | 123271.i | 0.0538607 | + | 0.192611i | |||||
−401295. | −0.625459 | |||||||||
449081. | − | 173507.i | 0.698194 | − | 0.269755i | |||||
61129.2 | 0.0948021 | |||||||||
−405500. | + | 368319.i | −0.627305 | + | 0.569786i | |||||
− | 24533.1i | − | 0.0378583i | |||||||
−243453. | + | 94060.8i | −0.374753 | + | 0.144790i | |||||
− | 619588.i | − | 0.951384i | |||||||
−409916. | − | 205506.i | −0.627874 | − | 0.314776i | |||||
514568. | 0.786223 | 0.393111 | − | 0.919491i | ||||||
0.393111 | + | 0.919491i | ||||||||
−50699.9 | − | 131224.i | −0.0772747 | − | 0.200007i | |||||
174798. | 0.265763 | 0.132881 | − | 0.991132i | ||||||
0.132881 | + | 0.991132i | ||||||||
23527.4 | − | 21370.1i | 0.0356830 | − | 0.0324112i | |||||
− | 1.01077e6i | − | 1.52922i | |||||||
27943.2 | + | 72324.1i | 0.0421723 | + | 0.109153i | |||||
− | 21361.1i | − | 0.0321594i | |||||||
−5014.37 | + | 52059.7i | −0.00753071 | + | 0.0781846i | |||||
−740500. | −1.10938 | |||||||||
561502. | − | 216942.i | 0.839160 | − | 0.324218i | |||||
4332.76 | 0.00645947 | |||||||||
292680. | + | 322226.i | 0.435277 | + | 0.479217i | |||||
1.02886e6i | 1.52641i | 0.646159 | + | 0.763203i | ||||||
−0.646159 | + | 0.763203i | ||||||||
−11274.9 | + | 4356.17i | −0.0166866 | + | 0.00644705i | |||||
− | 54452.4i | − | 0.0803928i | −0.999192 | − | 0.0401964i | ||||
0.999192 | − | 0.0401964i | ||||||||
458294. | + | 229760.i | 0.674979 | + | 0.338392i | |||||
7060.62 | 0.0103737 | |||||||||
1699.95 | + | 4399.91i | 0.00249159 | + | 0.00644887i | |||||
1.20898e6 | 1.76770 | 0.883848 | − | 0.467773i | ||||||
0.883848 | + | 0.467773i | ||||||||
−278828. | − | 306975.i | −0.406701 | − | 0.447757i | |||||
366682.i | 0.533556i | 0.963758 | + | 0.266778i | ||||||
−0.963758 | + | 0.266778i | ||||||||
110396. | + | 285734.i | 0.160250 | + | 0.414769i | |||||
537143.i | 0.777836i | |||||||||
179353. | − | 133917.i | 0.259097 | − | 0.193458i | |||||
−68903.2 | −0.0993001 | |||||||||
−578591. | + | 223545.i | −0.831839 | + | 0.321390i | |||||
−567566. | −0.814035 | |||||||||
29844.6 | − | 27108.1i | 0.0427025 | − | 0.0387870i | |||||
− | 945980.i | − | 1.35030i | |||||||
1.07790e6 | − | 416459.i | 1.53494 | − | 0.593041i | |||||
− | 1.27074e6i | − | 1.80523i | −0.430444 | − | 0.902617i | ||||
0.430444 | − | 0.902617i | ||||||||
−5898.23 | + | 11765.0i | −0.00835917 | + | 0.0166738i | |||||
119393. | 0.168806 | |||||||||
−262808. | − | 680214.i | −0.370693 | − | 0.959448i | |||||
309315. | 0.435257 | |||||||||
251000. | − | 227985.i | 0.352362 | − | 0.320053i | |||||
285934.i | 0.400454i | |||||||||
96726.0 | + | 250352.i | 0.135146 | + | 0.349792i | |||||
− | 37768.5i | − | 0.0526457i | |||||||
−775088. | − | 74656.2i | −1.07785 | − | 0.103818i | |||||
476581. | 0.661183 | |||||||||
13422.1 | − | 5185.78i | 0.0185773 | − | 0.00717755i | |||||
2.06330e6 | 2.84907 | |||||||||
66802.1 | + | 73545.6i | 0.0920260 | + | 0.101316i | |||||
927864.i | 1.27522i | 0.770358 | + | 0.637612i | ||||||
−0.770358 | + | 0.637612i | ||||||||
−37903.6 | + | 14644.4i | −0.0519714 | + | 0.0200797i | |||||
108359.i | 0.148229i | |||||||||
−57466.2 | + | 114626.i | −0.0784269 | + | 0.156435i | |||||
155651. | 0.211928 | 0.105964 | − | 0.994370i | ||||||
0.105964 | + | 0.994370i | ||||||||
−4449.77 | − | 11517.1i | −0.00604454 | − | 0.0156448i | |||||
−1.04127e6 | −1.41116 | −0.705578 | − | 0.708632i | ||||||
−0.705578 | + | 0.708632i | ||||||||
281221. | + | 309610.i | 0.380234 | + | 0.418618i | |||||
44757.3i | 0.0603751i | |||||||||
144873. | + | 374967.i | 0.194972 | + | 0.504637i | |||||
− | 1.42220e6i | − | 1.90959i | −0.297264 | − | 0.954795i | ||||
0.297264 | − | 0.954795i | ||||||||
218484. | + | 781321.i | 0.292680 | + | 1.04665i | |||||
473687. | 0.633081 | |||||||||
1.22440e6 | − | 473060.i | 1.63263 | − | 0.630784i | |||||
−587045. | −0.780968 | |||||||||
−36637.9 | + | 33278.5i | −0.0486285 | + | 0.0441697i | |||||
− | 11739.0i | − | 0.0155450i | |||||||
227067. | − | 87729.7i | 0.299996 | − | 0.115907i | |||||
− | 263551.i | − | 0.347399i | |||||||
1.16041e6 | + | 581758.i | 1.52609 | + | 0.765084i | |||||
263287. | 0.345463 | |||||||||
−386678. | − | 1.00082e6i | −0.506205 | − | 1.31019i | |||||
3620.81 | 0.00472922 | |||||||||
−645965. | + | 586735.i | −0.841784 | + | 0.764600i | |||||
− | 577824.i | − | 0.751271i | −0.926768 | − | 0.375635i | ||||
0.926768 | − | 0.375635i | ||||||||
223810. | + | 579278.i | 0.290329 | + | 0.751446i | |||||
− | 301405.i | − | 0.390098i | |||||||
−22668.3 | − | 2183.40i | −0.0292721 | − | 0.00281947i | |||||
−95874.2 | −0.123524 | −0.0617618 | − | 0.998091i | ||||||
−0.0617618 | + | 0.998091i | ||||||||
−273391. | + | 105627.i | −0.351437 | + | 0.135781i | |||||
1.28768e6 | 1.65153 | 0.825765 | − | 0.564014i | ||||||
0.825765 | + | 0.564014i | ||||||||
−16917.9 | − | 18625.7i | −0.0216492 | − | 0.0238346i | |||||
36125.5i | 0.0461240i | |||||||||
−1.26059e6 | + | 487042.i | −1.60585 | + | 0.620439i | |||||
− | 1.17289e6i | − | 1.49077i | −0.666633 | − | 0.745386i | ||||
0.666633 | − | 0.745386i | ||||||||
−989468. | − | 496057.i | −1.25480 | − | 0.629079i | |||||
16497.3 | 0.0208741 | |||||||||
211349. | + | 547025.i | 0.266821 | + | 0.690601i | |||||
25028.8 | 0.0315272 | |||||||||
−503601. | − | 554439.i | −0.632932 | − | 0.696825i | |||||
694374.i | 0.870744i | |||||||||
−202071. | − | 523012.i | −0.252831 | − | 0.654390i | |||||
− | 580284.i | − | 0.724427i | |||||||
22574.6 | − | 35947.9i | 0.0281193 | − | 0.0447772i | |||||
−328568. | −0.408357 | |||||||||
−915903. | + | 353869.i | −1.13579 | + | 0.438823i | |||||
915484. | 1.13274 | |||||||||
45306.0 | − | 41151.8i | 0.0559333 | − | 0.0508047i | |||||
87534.6i | 0.107828i | |||||||||
−72243.2 | + | 27911.9i | −0.0887940 | + | 0.0343065i | |||||
43005.0i | 0.0527404i | |||||||||
−16363.6 | + | 32639.9i | −0.0200236 | + | 0.0399404i | |||||
−91417.5 | −0.111617 | |||||||||
290431. | + | 751711.i | 0.353824 | + | 0.915787i | |||||
410980. | 0.499581 | 0.249791 | − | 0.968300i | ||||||
0.249791 | + | 0.968300i | ||||||||
23613.4 | − | 21448.3i | 0.0286409 | − | 0.0260148i | |||||
219261.i | 0.265359i | |||||||||
−2281.92 | − | 5906.20i | −0.00275561 | − | 0.00713223i | |||||
− | 67611.8i | − | 0.0814678i | −0.999170 | − | 0.0407339i | ||||
0.999170 | − | 0.0407339i | ||||||||
−55182.8 | + | 572914.i | −0.0663459 | + | 0.688810i | |||||
−54498.9 | −0.0653802 | |||||||||
−429114. | + | 165793.i | −0.513666 | + | 0.198460i | |||||
−311207. | −0.371713 | |||||||||
490463. | + | 539974.i | 0.584542 | + | 0.643550i | |||||
44948.0i | 0.0534529i | |||||||||
85072.6 | − | 32868.7i | 0.100950 | − | 0.0390029i | |||||
− | 423513.i | − | 0.501459i | −0.968057 | − | 0.250729i | ||||
0.968057 | − | 0.250729i | ||||||||
−271603. | + | 541757.i | −0.320892 | + | 0.640072i | |||||
−160301. | −0.188980 | |||||||||
166440. | + | 430790.i | 0.195793 | + | 0.506762i | |||||
−47800.4 | −0.0561084 | |||||||||
−1574.32 | − | 1733.24i | −0.00184395 | − | 0.00203009i | |||||
304520.i | 0.355903i | |||||||||
−444491. | − | 1.15046e6i | −0.518371 | − | 1.34168i | |||||
− | 245139.i | − | 0.285268i | |||||||
−756133. | + | 211441.i | −0.878016 | + | 0.245524i | |||||
963117. | 1.11596 | 0.557979 | − | 0.829855i | ||||||
0.557979 | + | 0.829855i | ||||||||
−353599. | + | 136617.i | −0.408832 | + | 0.157956i | |||||
−758276. | −0.874839 | |||||||||
−974652. | + | 885285.i | −1.12206 | + | 1.01918i | |||||
738989.i | 0.848935i | |||||||||
−873671. | + | 337552.i | −1.00151 | + | 0.386943i | |||||
2560.04i | 0.00292836i | |||||||||
−95678.9 | − | 47967.4i | −0.109211 | − | 0.0547513i | |||||
−1.35035e6 | −1.53804 | −0.769019 | − | 0.639226i | ||||||
−0.769019 | + | 0.639226i | ||||||||
−18012.9 | − | 46621.9i | −0.0204728 | − | 0.0529889i | |||||
−596358. | −0.676357 | |||||||||
290324. | − | 263704.i | 0.328570 | − | 0.298443i | |||||
− | 651491.i | − | 0.735748i | −0.929876 | − | 0.367874i | ||||
0.929876 | − | 0.367874i | ||||||||
−45612.9 | − | 118058.i | −0.0514027 | − | 0.133043i | |||||
2.06099e6i | 2.31768i | |||||||||
11171.3 | − | 115982.i | 0.0125360 | − | 0.130150i | |||||
22949.6 | 0.0256987 | |||||||||
−69414.7 | + | 26819.1i | −0.0775656 | + | 0.0299683i | |||||
−1.31859e6 | −1.47032 | −0.735158 | − | 0.677896i | ||||||
−0.735158 | + | 0.677896i | ||||||||
112674. | + | 124048.i | 0.125374 | + | 0.138030i | |||||
− | 419840.i | − | 0.466177i | |||||||
147710. | − | 57069.2i | 0.163667 | − | 0.0632346i | |||||
375934.i | 0.415671i | |||||||||
−4265.76 | − | 2138.58i | −0.00470677 | − | 0.00235968i | |||||
−76396.5 | −0.0841178 | −0.0420589 | − | 0.999115i | ||||||
−0.0420589 | + | 0.999115i | ||||||||
134189. | + | 347316.i | 0.147442 | + | 0.381617i | |||||
−426468. | −0.467605 | |||||||||
−1.12775e6 | − | 1.24160e6i | −1.23395 | − | 1.35852i | |||||
43309.2i | 0.0472886i | |||||||||
253546. | + | 656242.i | 0.276265 | + | 0.715044i | |||||
− | 1102.81i | − | 0.00119912i | |||||||
260497. | − | 194504.i | 0.282658 | − | 0.211051i | |||||
−502111. | −0.543692 | |||||||||
496727. | − | 191916.i | 0.536744 | − | 0.207377i | |||||
61312.6 | 0.0661146 | |||||||||
120170. | − | 109151.i | 0.129313 | − | 0.117456i | |||||
− | 394612.i | − | 0.423756i | |||||||
−58123.2 | + | 22456.5i | −0.0622867 | + | 0.0240651i | |||||
− | 462106.i | − | 0.494184i | −0.968992 | − | 0.247092i | ||||
0.968992 | − | 0.247092i | ||||||||
−418130. | + | 834029.i | −0.446232 | + | 0.890083i | |||||
64702.0 | 0.0689081 | |||||||||
−138665. | − | 358900.i | −0.147375 | − | 0.381443i | |||||
901828. | 0.956501 | 0.478250 | − | 0.878223i | ||||||
0.478250 | + | 0.878223i | ||||||||
495577. | − | 450137.i | 0.524540 | − | 0.476444i | |||||
− | 56592.7i | − | 0.0597771i | |||||||
−416741. | − | 1.07863e6i | −0.439287 | − | 1.13699i | |||||
− | 48492.8i | − | 0.0510115i | |||||||
999139. | + | 96236.6i | 1.04888 | + | 0.101028i | |||||
46500.7 | 0.0487159 | 0.0243580 | − | 0.999703i | ||||||
0.0243580 | + | 0.999703i | ||||||||
−50608.1 | + | 19553.0i | −0.0529106 | + | 0.0204426i | |||||
−104336. | −0.108860 | |||||||||
287972. | + | 317042.i | 0.299846 | + | 0.330115i | |||||
− | 620697.i | − | 0.644973i | |||||||
682110. | − | 263540.i | 0.707345 | − | 0.273290i | |||||
649309.i | 0.671961i | 0.941869 | + | 0.335981i | ||||||
−0.941869 | + | 0.335981i | ||||||||
495502. | − | 988361.i | 0.511747 | − | 1.02076i | |||||
70248.3 | 0.0724042 | |||||||||
31809.1 | + | 82330.1i | 0.0327188 | + | 0.0846846i | |||||
40326.2 | 0.0413955 | |||||||||
−186180. | − | 204975.i | −0.190730 | − | 0.209984i | |||||
1.98030e6i | 2.02460i | |||||||||
3924.50 | + | 10157.6i | 0.00400419 | + | 0.0103639i | |||||
− | 194704.i | − | 0.198257i | −0.995075 | − | 0.0991285i | ||||
0.995075 | − | 0.0991285i | ||||||||
1.17748e6 | − | 329265.i | 1.19655 | − | 0.334597i | |||||
−438238. | −0.444439 | |||||||||
−8455.83 | + | 3267.00i | −0.00855822 | + | 0.00330656i | |||||
−232715. | −0.235060 | |||||||||
575902. | − | 523096.i | 0.580537 | − | 0.527306i | |||||
− | 1.72172e6i | − | 1.73210i | −0.499959 | − | 0.866049i | ||||
0.499959 | − | 0.866049i | ||||||||
1.73020e6 | − | 668481.i | 1.73714 | − | 0.671163i | |||||
1.93012e6i | 1.93398i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 40.5.g.a.11.15 | ✓ | 16 | |
3.2 | odd | 2 | 360.5.g.a.91.2 | 16 | |||
4.3 | odd | 2 | 160.5.g.a.111.6 | 16 | |||
5.2 | odd | 4 | 200.5.e.e.99.20 | 32 | |||
5.3 | odd | 4 | 200.5.e.e.99.13 | 32 | |||
5.4 | even | 2 | 200.5.g.h.51.2 | 16 | |||
8.3 | odd | 2 | inner | 40.5.g.a.11.16 | yes | 16 | |
8.5 | even | 2 | 160.5.g.a.111.5 | 16 | |||
12.11 | even | 2 | 1440.5.g.a.271.5 | 16 | |||
20.3 | even | 4 | 800.5.e.e.399.17 | 32 | |||
20.7 | even | 4 | 800.5.e.e.399.16 | 32 | |||
20.19 | odd | 2 | 800.5.g.h.751.12 | 16 | |||
24.5 | odd | 2 | 1440.5.g.a.271.12 | 16 | |||
24.11 | even | 2 | 360.5.g.a.91.1 | 16 | |||
40.3 | even | 4 | 200.5.e.e.99.19 | 32 | |||
40.13 | odd | 4 | 800.5.e.e.399.15 | 32 | |||
40.19 | odd | 2 | 200.5.g.h.51.1 | 16 | |||
40.27 | even | 4 | 200.5.e.e.99.14 | 32 | |||
40.29 | even | 2 | 800.5.g.h.751.11 | 16 | |||
40.37 | odd | 4 | 800.5.e.e.399.18 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
40.5.g.a.11.15 | ✓ | 16 | 1.1 | even | 1 | trivial | |
40.5.g.a.11.16 | yes | 16 | 8.3 | odd | 2 | inner | |
160.5.g.a.111.5 | 16 | 8.5 | even | 2 | |||
160.5.g.a.111.6 | 16 | 4.3 | odd | 2 | |||
200.5.e.e.99.13 | 32 | 5.3 | odd | 4 | |||
200.5.e.e.99.14 | 32 | 40.27 | even | 4 | |||
200.5.e.e.99.19 | 32 | 40.3 | even | 4 | |||
200.5.e.e.99.20 | 32 | 5.2 | odd | 4 | |||
200.5.g.h.51.1 | 16 | 40.19 | odd | 2 | |||
200.5.g.h.51.2 | 16 | 5.4 | even | 2 | |||
360.5.g.a.91.1 | 16 | 24.11 | even | 2 | |||
360.5.g.a.91.2 | 16 | 3.2 | odd | 2 | |||
800.5.e.e.399.15 | 32 | 40.13 | odd | 4 | |||
800.5.e.e.399.16 | 32 | 20.7 | even | 4 | |||
800.5.e.e.399.17 | 32 | 20.3 | even | 4 | |||
800.5.e.e.399.18 | 32 | 40.37 | odd | 4 | |||
800.5.g.h.751.11 | 16 | 40.29 | even | 2 | |||
800.5.g.h.751.12 | 16 | 20.19 | odd | 2 | |||
1440.5.g.a.271.5 | 16 | 12.11 | even | 2 | |||
1440.5.g.a.271.12 | 16 | 24.5 | odd | 2 |