Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,6,Mod(71,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.71");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 84.e (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 71.49 | ||
Character | 84.71 | ||
Dual form | 84.6.e.a.71.50 |
-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 .
4.40093 | − | 3.55413i | 0.777982 | − | 0.628287i | |||||
−2.02884 | + | 15.4559i | −0.130150 | + | 0.991494i | |||||
6.73637 | − | 31.2829i | 0.210511 | − | 0.977591i | |||||
− | 44.2997i | − | 0.792456i | −0.918152 | − | 0.396228i | ||||
0.918152 | − | 0.396228i | ||||||||
46.0033 | + | 75.2309i | 0.521688 | + | 0.853136i | |||||
− | 49.0000i | − | 0.377964i | |||||||
−81.5372 | − | 161.616i | −0.450434 | − | 0.892810i | |||||
−234.768 | − | 62.7150i | −0.966122 | − | 0.258087i | |||||
−157.447 | − | 194.960i | −0.497890 | − | 0.616517i | |||||
344.560 | 0.858584 | 0.429292 | − | 0.903166i | ||||||
0.429292 | + | 0.903166i | ||||||||
469.838 | + | 167.584i | 0.941878 | + | 0.335955i | |||||
−378.416 | −0.621029 | −0.310514 | − | 0.950569i | ||||||
−0.310514 | + | 0.950569i | ||||||||
−174.152 | − | 215.646i | −0.237470 | − | 0.294049i | |||||
684.690 | + | 89.8770i | 0.785716 | + | 0.103138i | |||||
−933.243 | − | 421.466i | −0.911370 | − | 0.411588i | |||||
− | 1696.09i | − | 1.42340i | −0.702485 | − | 0.711699i | ||||
0.702485 | − | 0.711699i | ||||||||
−1256.09 | + | 558.389i | −0.913778 | + | 0.406215i | |||||
− | 2579.78i | − | 1.63945i | −0.572758 | − | 0.819724i | ||||
0.572758 | − | 0.819724i | ||||||||
−1385.82 | − | 298.419i | −0.774698 | − | 0.166821i | |||||
757.337 | + | 99.4133i | 0.374750 | + | 0.0491922i | |||||
1516.38 | − | 1224.61i | 0.667963 | − | 0.539437i | |||||
526.327 | 0.207461 | 0.103730 | − | 0.994605i | ||||||
0.103730 | + | 0.994605i | ||||||||
2663.34 | − | 932.335i | 0.943840 | − | 0.330403i | |||||
1162.54 | 0.372013 | |||||||||
−1665.38 | + | 1344.94i | −0.483149 | + | 0.390184i | |||||
1445.62 | − | 3501.30i | 0.381632 | − | 0.924314i | |||||
−1532.86 | − | 330.082i | −0.369495 | − | 0.0795658i | |||||
6045.46i | 1.33486i | 0.744675 | + | 0.667428i | ||||||
−0.744675 | + | 0.667428i | ||||||||
3332.70 | − | 2037.93i | 0.676073 | − | 0.413415i | |||||
− | 2887.35i | − | 0.539629i | −0.962912 | − | 0.269815i | ||||
0.962912 | − | 0.269815i | ||||||||
−5605.08 | + | 1462.02i | −0.967625 | + | 0.252393i | |||||
−699.058 | + | 5325.47i | −0.111745 | + | 0.851281i | |||||
−6028.11 | − | 7464.37i | −0.894302 | − | 1.10738i | |||||
−2170.68 | −0.299520 | |||||||||
−3543.39 | + | 6921.75i | −0.455683 | + | 0.890142i | |||||
−3591.74 | −0.431321 | −0.215660 | − | 0.976468i | ||||||
−0.215660 | + | 0.976468i | ||||||||
−9168.85 | − | 11353.4i | −1.03004 | − | 1.27546i | |||||
767.747 | − | 5848.75i | 0.0808271 | − | 0.615746i | |||||
−7159.53 | + | 3612.07i | −0.707513 | + | 0.356949i | |||||
12630.3i | 1.17342i | 0.809796 | + | 0.586711i | ||||||
−0.809796 | + | 0.586711i | ||||||||
3686.32 | − | 2254.16i | 0.322455 | − | 0.197180i | |||||
21579.3i | 1.77978i | 0.456176 | + | 0.889889i | ||||||
−0.456176 | + | 0.889889i | ||||||||
2321.08 | − | 10778.8i | 0.180742 | − | 0.839345i | |||||
−2778.25 | + | 10400.1i | −0.204522 | + | 0.765609i | |||||
2316.33 | − | 1870.63i | 0.161401 | − | 0.130345i | |||||
16221.6 | 1.07115 | 0.535575 | − | 0.844488i | ||||||
0.535575 | + | 0.844488i | ||||||||
8407.53 | − | 13569.0i | 0.526702 | − | 0.850050i | |||||
−2401.00 | −0.142857 | |||||||||
5116.26 | − | 4131.82i | 0.289419 | − | 0.233731i | |||||
26214.5 | + | 3441.10i | 1.41129 | + | 0.185256i | |||||
−2549.15 | + | 11838.0i | −0.130734 | + | 0.607112i | |||||
− | 21958.7i | − | 1.07379i | −0.843650 | − | 0.536893i | ||||
0.843650 | − | 0.536893i | ||||||||
−6081.98 | − | 20546.9i | −0.283831 | − | 0.958874i | |||||
− | 15263.9i | − | 0.680391i | |||||||
−7919.18 | + | 3995.32i | −0.337450 | + | 0.170248i | |||||
39872.7 | + | 5233.96i | 1.62550 | + | 0.213375i | |||||
21486.3 | + | 26605.6i | 0.838672 | + | 1.03849i | |||||
−7005.98 | −0.262023 | −0.131011 | − | 0.991381i | ||||||
−0.131011 | + | 0.991381i | ||||||||
7423.93 | − | 20813.6i | 0.266229 | − | 0.746397i | |||||
7136.98 | 0.245578 | 0.122789 | − | 0.992433i | ||||||
0.122789 | + | 0.992433i | ||||||||
−10262.0 | − | 12707.0i | −0.339042 | − | 0.419822i | |||||
−3073.04 | + | 11503.6i | −0.0975475 | + | 0.365160i | |||||
−19471.4 | + | 26355.4i | −0.594219 | + | 0.804303i | |||||
16763.7i | 0.492138i | |||||||||
15850.9 | + | 25921.6i | 0.447913 | + | 0.732489i | |||||
18300.1i | 0.498042i | 0.968498 | + | 0.249021i | ||||||
−0.968498 | + | 0.249021i | ||||||||
−53058.6 | − | 11425.5i | −1.39150 | − | 0.299641i | |||||
−1067.83 | + | 8134.83i | −0.0270011 | + | 0.205696i | |||||
−9553.02 | + | 7714.88i | −0.233021 | + | 0.188185i | |||||
77638.4 | 1.82781 | 0.913904 | − | 0.405931i | ||||||
0.913904 | + | 0.405931i | ||||||||
9006.55 | + | 43055.8i | 0.204752 | + | 0.978814i | |||||
−53127.5 | −1.16684 | −0.583422 | − | 0.812169i | ||||||
−0.583422 | + | 0.812169i | ||||||||
−15807.0 | + | 12765.5i | −0.335560 | + | 0.270993i | |||||
−2358.61 | + | 17968.1i | −0.0484176 | + | 0.368849i | |||||
−80702.9 | − | 17378.3i | −1.60271 | − | 0.345123i | |||||
− | 16883.4i | − | 0.324514i | |||||||
−17408.4 | − | 28468.6i | −0.323983 | − | 0.529822i | |||||
− | 8353.39i | − | 0.150590i | −0.997161 | − | 0.0752948i | ||||
0.997161 | − | 0.0752948i | ||||||||
−18670.8 | + | 41342.3i | −0.326166 | + | 0.722221i | |||||
51182.7 | + | 29446.9i | 0.866783 | + | 0.498686i | |||||
44889.7 | + | 55585.1i | 0.737246 | + | 0.912901i | |||||
76137.1 | 1.21311 | 0.606556 | − | 0.795041i | ||||||
0.606556 | + | 0.795041i | ||||||||
8211.64 | − | 23022.0i | 0.126979 | − | 0.355996i | |||||
−75136.1 | −1.12798 | |||||||||
76695.5 | + | 94968.9i | 1.11821 | + | 1.38464i | |||||
−93437.8 | − | 12265.3i | −1.32350 | − | 0.173732i | |||||
−28094.4 | − | 55686.3i | −0.386735 | − | 0.766553i | |||||
9040.37i | 0.120979i | 0.998169 | + | 0.0604897i | ||||||
−0.998169 | + | 0.0604897i | ||||||||
24736.5 | + | 55644.5i | 0.321908 | + | 0.724129i | |||||
18542.4i | 0.234727i | |||||||||
3545.53 | − | 16465.0i | 0.0436728 | − | 0.202812i | |||||
44626.5 | + | 5857.98i | 0.535039 | + | 0.0702329i | |||||
71390.3 | − | 57653.7i | 0.833335 | − | 0.672989i | |||||
−114283. | −1.29919 | |||||||||
−11224.9 | − | 89597.6i | −0.124310 | − | 0.992243i | |||||
−52693.1 | −0.568623 | −0.284311 | − | 0.958732i | ||||||
−0.284311 | + | 0.958732i | ||||||||
−10566.6 | + | 8533.46i | −0.111140 | + | 0.0897553i | |||||
−80891.5 | − | 21609.1i | −0.829497 | − | 0.221589i | |||||
7831.30 | − | 36367.7i | 0.0783130 | − | 0.363677i | |||||
− | 82630.2i | − | 0.806000i | −0.915200 | − | 0.403000i | ||||
0.915200 | − | 0.403000i | ||||||||
127598. | − | 78025.7i | 1.21435 | − | 0.742570i | |||||
− | 69948.5i | − | 0.649659i | −0.945773 | − | 0.324829i | ||||
0.945773 | − | 0.324829i | ||||||||
30855.0 | + | 61158.1i | 0.279732 | + | 0.554461i | |||||
4403.97 | − | 33549.8i | 0.0389827 | − | 0.296973i | |||||
−78044.2 | − | 96638.9i | −0.674646 | − | 0.835386i | |||||
46494.7 | 0.392594 | 0.196297 | − | 0.980544i | ||||||
0.196297 | + | 0.980544i | ||||||||
−99792.6 | − | 68809.3i | −0.823264 | − | 0.567659i | |||||
122497. | 0.987552 | 0.493776 | − | 0.869589i | ||||||
0.493776 | + | 0.869589i | ||||||||
−54249.8 | − | 67175.3i | −0.427480 | − | 0.529331i | |||||
7287.07 | − | 55513.4i | 0.0561365 | − | 0.427652i | |||||
−20651.9 | + | 45728.9i | −0.155566 | + | 0.344465i | |||||
58741.6i | 0.432762i | 0.976309 | + | 0.216381i | ||||||
−0.976309 | + | 0.216381i | ||||||||
194079. | − | 118678.i | 1.39867 | − | 0.855281i | |||||
− | 23316.1i | − | 0.164404i | |||||||
189120. | + | 40724.4i | 1.30494 | + | 0.281002i | |||||
88839.9 | + | 23732.4i | 0.599989 | + | 0.160279i | |||||
−30832.8 | + | 24900.1i | −0.203849 | + | 0.164625i | |||||
−83108.3 | −0.537994 | |||||||||
−41302.1 | − | 117985.i | −0.261830 | − | 0.747952i | |||||
−42329.5 | −0.262833 | |||||||||
31409.3 | − | 25365.7i | 0.191055 | − | 0.154294i | |||||
−195212. | − | 25624.9i | −1.16344 | − | 0.152721i | |||||
−90324.8 | − | 19450.3i | −0.527537 | − | 0.113598i | |||||
− | 189937.i | − | 1.08726i | |||||||
27361.1 | + | 61548.6i | 0.153535 | + | 0.345375i | |||||
− | 125876.i | − | 0.692520i | −0.938139 | − | 0.346260i | ||||
0.938139 | − | 0.346260i | ||||||||
7978.36 | + | 185192.i | 0.0430416 | + | 0.999073i | |||||
−333527. | − | 43781.0i | −1.76464 | − | 0.231639i | |||||
59580.4 | + | 73775.9i | 0.309204 | + | 0.382874i | |||||
74756.6 | 0.380602 | 0.190301 | − | 0.981726i | ||||||
0.190301 | + | 0.981726i | ||||||||
161887. | + | 57742.9i | 0.808682 | + | 0.288445i | |||||
−126409. | −0.619653 | |||||||||
65040.8 | + | 80537.4i | 0.312913 | + | 0.387468i | |||||
−155106. | − | 64040.5i | −0.732479 | − | 0.302427i | |||||
−274115. | + | 138294.i | −1.27082 | + | 0.641146i | |||||
− | 368808.i | − | 1.67880i | −0.543513 | − | 0.839401i | ||||
0.543513 | − | 0.839401i | ||||||||
24212.8 | + | 39596.1i | 0.108230 | + | 0.176992i | |||||
409405.i | 1.79728i | 0.438687 | + | 0.898640i | ||||||
−0.438687 | + | 0.898640i | ||||||||
−14622.5 | + | 67905.3i | −0.0630524 | + | 0.292808i | |||||
−32911.1 | + | 250719.i | −0.139410 | + | 1.06204i | |||||
341681. | − | 275937.i | 1.42200 | − | 1.14839i | |||||
−130387. | −0.533205 | |||||||||
192663. | + | 157475.i | 0.774269 | + | 0.632857i | |||||
267812. | 1.05781 | |||||||||
−233811. | + | 188822.i | −0.907783 | + | 0.733112i | |||||
4871.25 | − | 37109.5i | 0.0185929 | − | 0.141642i | |||||
−24195.3 | + | 112360.i | −0.0907979 | + | 0.421655i | |||||
− | 394571.i | − | 1.45599i | −0.685580 | − | 0.727997i | ||||
0.685580 | − | 0.727997i | ||||||||
53480.7 | + | 87459.0i | 0.194075 | + | 0.317378i | |||||
− | 8762.51i | − | 0.0312742i | −0.999878 | − | 0.0156371i | ||||
0.999878 | − | 0.0156371i | ||||||||
−416933. | + | 210348.i | −1.46372 | + | 0.738463i | |||||
−106370. | + | 398187.i | −0.367360 | + | 1.37518i | |||||
−60005.9 | − | 74302.8i | −0.203888 | − | 0.252466i | |||||
−127909. | −0.427633 | |||||||||
−177794. | − | 63416.7i | −0.584933 | − | 0.208637i | |||||
413913. | 1.34017 | 0.670085 | − | 0.742284i | ||||||
0.670085 | + | 0.742284i | ||||||||
−29689.0 | − | 36762.7i | −0.0946135 | − | 0.117156i | |||||
339391. | + | 44550.8i | 1.06465 | + | 0.139754i | |||||
64766.9 | + | 248303.i | 0.200011 | + | 0.766800i | |||||
− | 25790.0i | − | 0.0784128i | |||||||
329909. | − | 52315.8i | 0.987659 | − | 0.156619i | |||||
156479.i | 0.461304i | 0.973036 | + | 0.230652i | ||||||
−0.973036 | + | 0.230652i | ||||||||
395113. | + | 85082.4i | 1.14713 | + | 0.247019i | |||||
235917. | + | 30968.0i | 0.674603 | + | 0.0885530i | |||||
335074. | − | 270601.i | 0.943779 | − | 0.762182i | |||||
256467. | 0.711607 | 0.355804 | − | 0.934561i | ||||||
0.355804 | + | 0.934561i | ||||||||
−45684.4 | − | 130504.i | −0.124881 | − | 0.356738i | |||||
−228094. | −0.614323 | |||||||||
−330669. | + | 267043.i | −0.877548 | + | 0.708695i | |||||
−161791. | + | 605648.i | −0.423120 | + | 1.58391i | |||||
675063. | + | 145366.i | 1.73990 | + | 0.374664i | |||||
− | 40911.6i | − | 0.103928i | −0.998649 | − | 0.0519638i | ||||
0.998649 | − | 0.0519638i | ||||||||
−454805. | + | 278111.i | −1.13881 | + | 0.696378i | |||||
− | 56964.5i | − | 0.140608i | |||||||
−321558. | − | 145220.i | −0.782488 | − | 0.353383i | |||||
14214.0 | − | 108283.i | 0.0341023 | − | 0.259794i | |||||
32130.6 | + | 39786.0i | 0.0760097 | + | 0.0941198i | |||||
380158. | 0.886811 | 0.443406 | − | 0.896321i | ||||||
0.443406 | + | 0.896321i | ||||||||
306631. | + | 156971.i | 0.705399 | + | 0.361109i | |||||
−658395. | −1.49379 | −0.746896 | − | 0.664941i | ||||||
−0.746896 | + | 0.664941i | ||||||||
65902.1 | + | 81603.8i | 0.147476 | + | 0.182613i | |||||
−14479.8 | + | 110308.i | −0.0319621 | + | 0.243489i | |||||
−42915.2 | − | 85062.7i | −0.0934473 | − | 0.185223i | |||||
159113.i | 0.341803i | |||||||||
217218. | − | 132828.i | 0.460377 | − | 0.281518i | |||||
− | 584404.i | − | 1.22211i | |||||||
109275. | − | 507460.i | 0.225489 | − | 1.04715i | |||||
−171564. | − | 70835.4i | −0.349358 | − | 0.144243i | |||||
−502952. | + | 406177.i | −1.01075 | + | 0.816265i | |||||
−165125. | −0.327514 | −0.163757 | − | 0.986501i | ||||||
−0.163757 | + | 0.986501i | ||||||||
−367841. | − | 354418.i | −0.720124 | − | 0.693845i | |||||
769958. | 1.48790 | 0.743950 | − | 0.668235i | ||||||
0.743950 | + | 0.668235i | ||||||||
−231899. | + | 187278.i | −0.442378 | + | 0.357258i | |||||
−259098. | − | 34010.9i | −0.487952 | − | 0.0640519i | |||||
−16174.0 | + | 75110.3i | −0.0300731 | + | 0.139656i | |||||
647382.i | 1.18849i | 0.804285 | + | 0.594244i | ||||||
−0.804285 | + | 0.594244i | ||||||||
−432799. | + | 192399.i | −0.784555 | + | 0.348770i | |||||
129883.i | 0.232499i | 0.993220 | + | 0.116249i | ||||||
−0.993220 | + | 0.116249i | ||||||||
−94790.3 | − | 187885.i | −0.167567 | − | 0.332137i | |||||
−282844. | − | 37128.0i | −0.493806 | − | 0.0648203i | |||||
−293678. | − | 363650.i | −0.506399 | − | 0.627054i | |||||
296227. | 0.504528 | |||||||||
284238. | − | 796886.i | 0.478197 | − | 1.34067i | |||||
559518. | 0.929886 | |||||||||
−248606. | − | 307838.i | −0.408172 | − | 0.505423i | |||||
−123564. | − | 33008.6i | −0.200432 | − | 0.0535428i | |||||
353154. | + | 159490.i | 0.565987 | + | 0.255608i | |||||
− | 888887.i | − | 1.40761i | |||||||
−99858.6 | − | 163303.i | −0.156256 | − | 0.255532i | |||||
448543.i | 0.693581i | 0.937943 | + | 0.346791i | ||||||
−0.937943 | + | 0.346791i | ||||||||
−686934. | − | 147922.i | −1.04972 | − | 0.226044i | |||||
−157516. | + | 1.19997e6i | −0.237890 | + | 1.81226i | |||||
204620. | − | 165248.i | 0.305431 | − | 0.246662i | |||||
955955. | 1.41040 | |||||||||
−683737. | + | 51850.7i | −0.997137 | + | 0.0756172i | |||||
−141480. | −0.203961 | |||||||||
539101. | − | 435370.i | 0.768297 | − | 0.620466i | |||||
107787. | − | 821132.i | 0.151865 | − | 1.15692i | |||||
−477499. | − | 102823.i | −0.665144 | − | 0.143230i | |||||
641828.i | 0.883971i | |||||||||
−165232. | − | 270210.i | −0.225015 | − | 0.367975i | |||||
− | 1.18883e6i | − | 1.60087i | −0.599420 | − | 0.800435i | ||||
0.599420 | − | 0.800435i | ||||||||
71638.9 | + | 274649.i | 0.0953958 | + | 0.365728i | |||||
−272927. | − | 72908.8i | −0.359410 | − | 0.0960115i | |||||
208775. | + | 258518.i | 0.271899 | + | 0.336681i | |||||
1.08067e6 | 1.39197 | 0.695983 | − | 0.718058i | ||||||
0.695983 | + | 0.718058i | ||||||||
432330. | − | 1.21208e6i | 0.550780 | − | 1.54416i | |||||
773995. | 0.975325 | 0.487663 | − | 0.873032i | ||||||
0.487663 | + | 0.873032i | ||||||||
−82868.3 | − | 102612.i | −0.103293 | − | 0.127903i | |||||
260948. | + | 34253.8i | 0.321754 | + | 0.0422356i | |||||
977042. | − | 492930.i | 1.19177 | − | 0.601264i | |||||
713125.i | 0.860550i | 0.902698 | + | 0.430275i | ||||||
−0.902698 | + | 0.430275i | ||||||||
475326. | − | 211304.i | 0.567482 | − | 0.252271i | |||||
− | 718613.i | − | 0.848839i | |||||||
−47194.8 | + | 219168.i | −0.0551588 | + | 0.256151i | |||||
129109. | + | 16947.7i | 0.149309 | + | 0.0195993i | |||||
−365754. | + | 295378.i | −0.418549 | + | 0.338014i | |||||
−1.44920e6 | −1.64110 | −0.820549 | − | 0.571577i | ||||||
−0.820549 | + | 0.571577i | ||||||||
−601101. | − | 372451.i | −0.673627 | − | 0.417389i | |||||
−1.01525e6 | −1.12598 | −0.562988 | − | 0.826465i | ||||||
−0.562988 | + | 0.826465i | ||||||||
−186289. | + | 150444.i | −0.204479 | + | 0.165135i | |||||
−558969. | + | 731329.i | −0.607256 | + | 0.794506i | |||||
48077.3 | − | 223266.i | 0.0516970 | − | 0.240075i | |||||
106363.i | 0.113208i | |||||||||
−950190. | + | 581036.i | −1.00109 | + | 0.612161i | |||||
976229.i | 1.01814i | |||||||||
−466642. | + | 235427.i | −0.481786 | + | 0.243067i | |||||
−154470. | + | 1.17676e6i | −0.157887 | + | 1.20279i | |||||
−675059. | − | 835897.i | −0.683111 | − | 0.845869i | |||||
708118. | 0.709449 | 0.354724 | − | 0.934971i | ||||||
0.354724 | + | 0.934971i | ||||||||
339166. | + | 173626.i | 0.336442 | + | 0.172232i | |||||
181351. | 0.178122 | |||||||||
−447378. | − | 553970.i | −0.435101 | − | 0.538768i | |||||
152439. | − | 1.16129e6i | 0.146807 | − | 1.11839i | |||||
693308. | + | 786661.i | 0.661190 | + | 0.750218i | |||||
− | 1.30567e6i | − | 1.23310i | −0.787314 | − | 0.616552i | ||||
0.787314 | − | 0.616552i | ||||||||
−1.62343e6 | + | 992719.i | −1.51839 | + | 0.928490i | |||||
175995.i | 0.163024i | |||||||||
524418. | + | 112927.i | 0.481110 | + | 0.103601i | |||||
379141. | − | 1.41928e6i | 0.344508 | − | 1.28963i | |||||
328999. | − | 265695.i | 0.296102 | − | 0.239127i | |||||
358891. | 0.319943 | 0.159972 | − | 0.987122i | ||||||
0.159972 | + | 0.987122i | ||||||||
917680. | − | 321245.i | 0.810366 | − | 0.283679i | |||||
−972765. | −0.850929 | |||||||||
−556317. | + | 449274.i | −0.482079 | + | 0.389320i | |||||
−139727. | − | 18341.5i | −0.119950 | − | 0.0157455i | |||||
572480. | + | 123276.i | 0.486882 | + | 0.104844i | |||||
680424.i | 0.573322i | 0.958032 | + | 0.286661i | ||||||
−0.958032 | + | 0.286661i | ||||||||
−910220. | + | 269430.i | −0.759866 | + | 0.224924i | |||||
122132.i | 0.101020i | 0.998724 | + | 0.0505098i | ||||||
−0.998724 | + | 0.0505098i | ||||||||
−714844. | + | 1.58286e6i | −0.585854 | + | 1.29724i | |||||
−286589. | − | 37619.6i | −0.232730 | − | 0.0305498i | |||||
−1.31079e6 | − | 1.62310e6i | −1.05477 | − | 1.30608i | |||||
400565. | 0.319405 | |||||||||
247288. | + | 88204.2i | 0.195403 | + | 0.0696974i | |||||
1.45307e6 | 1.13786 | 0.568928 | − | 0.822387i | ||||||
0.568928 | + | 0.822387i | ||||||||
1.45508e6 | + | 1.80176e6i | 1.12921 | + | 1.39825i | |||||
−181080. | + | 677857.i | −0.139271 | + | 0.521348i | |||||
176991. | + | 350817.i | 0.134914 | + | 0.267415i | |||||
2.25718e6i | 1.70530i | 0.522484 | + | 0.852649i | ||||||
−0.522484 | + | 0.852649i | ||||||||
746249. | + | 1.22037e6i | 0.558806 | + | 0.913836i | |||||
− | 568122.i | − | 0.421672i | −0.977521 | − | 0.210836i | ||||
0.977521 | − | 0.210836i | ||||||||
523000. | − | 2.42876e6i | 0.384774 | − | 1.78685i | |||||
231862. | − | 1.76635e6i | 0.169090 | − | 1.28814i | |||||
−573825. | + | 463412.i | −0.414824 | + | 0.335006i | |||||
618885. | 0.443512 | |||||||||
1.40758e6 | + | 8288.07i | 0.999983 | + | 0.00588806i | |||||
−1.45686e6 | −1.02606 | |||||||||
1.17862e6 | − | 951837.i | 0.822960 | − | 0.664611i | |||||
106906. | − | 814417.i | 0.0740064 | − | 0.563786i | |||||
−357887. | + | 1.66199e6i | −0.245634 | + | 1.14070i | |||||
− | 2.31878e6i | − | 1.57794i | −0.614430 | − | 0.788972i | ||||
0.614430 | − | 0.788972i | ||||||||
−110454. | − | 180629.i | −0.0745269 | − | 0.121877i | |||||
310362.i | 0.207641i | |||||||||
292860. | + | 580482.i | 0.194281 | + | 0.385087i | |||||
498103. | − | 1.20641e6i | 0.327664 | − | 0.793602i | |||||
−1.40236e6 | − | 1.73648e6i | −0.914782 | − | 1.13274i | |||||
−199171. | −0.128839 | |||||||||
546205. | + | 194824.i | 0.350391 | + | 0.124980i | |||||
1.05739e6 | 0.672693 | |||||||||
−31143.1 | − | 38563.2i | −0.0196492 | − | 0.0243308i | |||||
1.27712e6 | + | 167644.i | 0.799145 | + | 0.104901i | |||||
−1.08729e6 | + | 2.40756e6i | −0.674778 | + | 1.49414i | |||||
− | 316166.i | − | 0.194610i | |||||||
947078. | + | 2.13044e6i | 0.578205 | + | 1.30067i | |||||
1.29505e6i | 0.784224i | 0.919917 | + | 0.392112i | ||||||
−0.919917 | + | 0.392112i | ||||||||
−528163. | − | 113733.i | −0.317242 | − | 0.0683140i | |||||
1.08111e6 | + | 141914.i | 0.644133 | + | 0.0845532i | |||||
−562917. | + | 454604.i | −0.332690 | + | 0.268676i | |||||
−2.90926e6 | −1.70562 | −0.852810 | − | 0.522221i | ||||||
−0.852810 | + | 0.522221i | ||||||||
−1.00785e6 | + | 352811.i | −0.586152 | + | 0.205190i | |||||
−1.86057e6 | −1.07346 | −0.536728 | − | 0.843755i | ||||||
−0.536728 | + | 0.843755i | ||||||||
1.82160e6 | − | 1.47110e6i | 1.04263 | − | 0.842011i | |||||
509606. | + | 136134.i | 0.289373 | + | 0.0773022i | |||||
−261319. | − | 56271.5i | −0.147215 | − | 0.0317008i | |||||
− | 229634.i | − | 0.128348i | −0.997939 | − | 0.0641738i | ||||
0.997939 | − | 0.0641738i | ||||||||
1.65198e6 | − | 1.01018e6i | 0.916086 | − | 0.560182i | |||||
2.08302e6i | 1.14609i | |||||||||
1.16754e6 | + | 862575.i | 0.637375 | + | 0.470893i | |||||
−94330.4 | + | 718616.i | −0.0510963 | + | 0.389255i | |||||
−91661.0 | − | 113500.i | −0.0492657 | − | 0.0610037i | |||||
−4.37553e6 | −2.33359 | |||||||||
1.26597e6 | − | 1.40278e6i | 0.669979 | − | 0.742380i | |||||
−439925. | −0.231031 | |||||||||
556146. | + | 688653.i | 0.289831 | + | 0.358886i | |||||
−248527. | + | 1.89330e6i | −0.128530 | + | 0.979152i | |||||
2.04126e6 | − | 1.02984e6i | 1.04764 | − | 0.528549i | |||||
− | 794860.i | − | 0.404856i | |||||||
1.14832e6 | − | 702189.i | 0.580466 | − | 0.354952i | |||||
768951.i | 0.385770i | 0.981221 | + | 0.192885i | ||||||
−0.981221 | + | 0.192885i | ||||||||
512887. | − | 2.38179e6i | 0.255374 | − | 1.18593i | |||||
843224. | + | 225256.i | 0.416708 | + | 0.111318i | |||||
1.12869e6 | − | 911516.i | 0.553617 | − | 0.447093i | |||||
810687. | 0.394677 | |||||||||
−664880. | − | 411969.i | −0.321289 | − | 0.199075i | |||||
−342359. | −0.164213 | −0.0821064 | − | 0.996624i | ||||||
−0.0821064 | + | 0.996624i | ||||||||
−1.00383e6 | + | 810675.i | −0.477932 | + | 0.385971i | |||||
−907902. | − | 119177.i | −0.429081 | − | 0.0563241i | |||||
−506144. | + | 2.35048e6i | −0.237453 | + | 1.10270i | |||||
− | 994866.i | − | 0.463317i | |||||||
1.44052e6 | + | 3.24044e6i | 0.665969 | + | 1.49809i | |||||
117649.i | 0.0539949i | |||||||||
3.48756e6 | − | 1.75952e6i | 1.58900 | − | 0.801672i | |||||
360370. | + | 47304.7i | 0.163005 | + | 0.0213972i | |||||
−145405. | − | 180049.i | −0.0652964 | − | 0.0808538i | |||||
−3.46788e6 | −1.54611 | −0.773055 | − | 0.634339i | ||||||
−0.773055 | + | 0.634339i | ||||||||
−1.01312e6 | + | 2.84038e6i | −0.448451 | + | 1.25727i | |||||
2.86639e6 | 1.25971 | 0.629856 | − | 0.776712i | ||||||
0.629856 | + | 0.776712i | ||||||||
−202459. | − | 250697.i | −0.0883420 | − | 0.109390i | |||||
−547047. | + | 1.32495e6i | −0.237005 | + | 0.574026i | |||||
−1.93129e6 | + | 503753.i | −0.830787 | + | 0.216701i | |||||
3.99256e6i | 1.70535i | 0.522438 | + | 0.852677i | ||||||
−0.522438 | + | 0.852677i | ||||||||
−322298. | − | 527066.i | −0.136694 | − | 0.223541i | |||||
− | 3.43935e6i | − | 1.44846i | |||||||
282809. | + | 60899.3i | 0.118268 | + | 0.0254675i | |||||
168614. | − | 1.28451e6i | 0.0700200 | − | 0.533418i | |||||
1.67305e6 | − | 1.35113e6i | 0.689923 | − | 0.557172i | |||||
2.03633e6 | 0.833896 | 0.416948 | − | 0.908930i | ||||||
0.416948 | + | 0.908930i | ||||||||
1.90736e6 | − | 398987.i | 0.775667 | − | 0.162257i | |||||
−4.17914e6 | −1.68779 | |||||||||
−2.89755e6 | + | 2.34002e6i | −1.16214 | + | 0.938529i | |||||
85879.9 | − | 654239.i | 0.0342078 | − | 0.260597i | |||||
580061. | + | 124908.i | 0.229467 | + | 0.0494127i | |||||
2.35353e6i | 0.924673i | |||||||||
328325. | + | 536922.i | 0.128115 | + | 0.209512i | |||||
2.00386e6i | 0.776610i | 0.921531 | + | 0.388305i | ||||||
−0.921531 | + | 0.388305i | ||||||||
−491191. | − | 221829.i | −0.189073 | − | 0.0853884i | |||||
792110. | − | 2.96519e6i | 0.302845 | − | 1.13367i | |||||
565507. | + | 700244.i | 0.214750 | + | 0.265916i | |||||
−1.07598e6 | −0.405853 | |||||||||
483876. | − | 1.35659e6i | 0.181291 | − | 0.508265i | |||||
−642838. | −0.239237 | −0.119619 | − | 0.992820i | ||||||
−0.119619 | + | 0.992820i | ||||||||
−2.07705e6 | − | 2.57192e6i | −0.767833 | − | 0.950777i | |||||
2.93563e6 | + | 385351.i | 1.07801 | + | 0.141507i | |||||
−1.32267e6 | − | 2.62167e6i | −0.482482 | − | 0.956332i | |||||
− | 2.28770e6i | − | 0.828983i | |||||||
−1.00680e6 | + | 298017.i | −0.362420 | + | 0.107278i | |||||
− | 1.88523e6i | − | 0.674167i | −0.941475 | − | 0.337083i | ||||
0.941475 | − | 0.337083i | ||||||||
−769853. | + | 3.57511e6i | −0.273495 | + | 1.27008i | |||||
1.94552e6 | + | 255382.i | 0.686630 | + | 0.0901317i | |||||
−726705. | + | 586876.i | −0.254800 | + | 0.205773i | |||||
−3.44186e6 | −1.19894 | −0.599469 | − | 0.800398i | ||||||
−0.599469 | + | 0.800398i | ||||||||
−2.87849e6 | − | 252413.i | −0.996177 | − | 0.0873541i | |||||
−747930. | −0.257163 | |||||||||
3.38853e6 | − | 2.73653e6i | 1.15756 | − | 0.934829i | |||||
1.35335e6 | − | 5.06612e6i | 0.459337 | − | 1.71948i | |||||
−354960. | + | 1.64839e6i | −0.119702 | + | 0.555881i | |||||
− | 125849.i | − | 0.0421672i | −0.999778 | − | 0.0210836i | ||||
0.999778 | − | 0.0210836i | ||||||||
−1.26115e6 | + | 771187.i | −0.419861 | + | 0.256743i | |||||
− | 892696.i | − | 0.295299i | |||||||
195771. | + | 388040.i | 0.0643477 | + | 0.127544i | |||||
−151669. | + | 1.15543e6i | −0.0495355 | + | 0.377365i | |||||
2.30088e6 | + | 2.84908e6i | 0.746711 | + | 0.924622i | |||||
−370052. | −0.119336 | |||||||||
−1.22091e6 | + | 2.38496e6i | −0.391242 | + | 0.764262i | |||||
−4.93089e6 | −1.57018 | −0.785090 | − | 0.619382i | ||||||
−0.785090 | + | 0.619382i | ||||||||
461622. | + | 571607.i | 0.146076 | + | 0.180880i | |||||
256464. | − | 1.95376e6i | 0.0806481 | − | 0.614383i | |||||
−1.08493e6 | − | 489972.i | −0.339041 | − | 0.153116i | |||||
862477.i | 0.267847i | 0.990992 | + | 0.133923i | ||||||
−0.990992 | + | 0.133923i | ||||||||
−1.37673e6 | + | 841864.i | −0.424898 | + | 0.259823i | |||||
1.09262e6i | 0.335125i | |||||||||
−2.58491e6 | − | 556627.i | −0.787939 | − | 0.169672i | |||||
1.30449e6 | − | 2.26737e6i | 0.395187 | − | 0.686887i | |||||
1.30368e6 | − | 1.05283e6i | 0.392513 | − | 0.316988i | |||||
−1.23757e6 | −0.370325 | |||||||||
−1.58132e6 | − | 4.51726e6i | −0.470295 | − | 1.34346i | |||||
2.19083e6 | 0.647592 | 0.323796 | − | 0.946127i | ||||||
0.323796 | + | 0.946127i | ||||||||
2.46240e6 | − | 1.98860e6i | 0.723435 | − | 0.584235i | |||||
5.70025e6 | + | 748254.i | 1.66452 | + | 0.218497i | |||||
−2.18819e6 | − | 471198.i | −0.635101 | − | 0.136761i | |||||
343293.i | 0.0990352i | |||||||||
−661115. | + | 293895.i | −0.189573 | + | 0.0842736i | |||||
− | 3.37285e6i | − | 0.961339i | |||||||
2.12105e6 | − | 553252.i | 0.600923 | − | 0.156744i | |||||
−6.32770e6 | − | 830617.i | −1.78199 | − | 0.233916i | |||||
−3.15922e6 | − | 3.91193e6i | −0.884380 | − | 1.09509i | |||||
3.66270e6 | 1.01921 | 0.509607 | − | 0.860407i | ||||||
0.509607 | + | 0.860407i | ||||||||
−1.01987e6 | − | 363773.i | −0.282112 | − | 0.100625i | |||||
6.00951e6 | 1.65247 | 0.826236 | − | 0.563325i | ||||||
0.826236 | + | 0.563325i | ||||||||
1.59418e6 | + | 1.97400e6i | 0.435768 | + | 0.539594i | |||||
−3.80831e6 | − | 1.01734e6i | −1.03486 | − | 0.276449i | |||||
−3.54888e6 | + | 1.79045e6i | −0.958687 | + | 0.483670i | |||||
− | 1.97177e6i | − | 0.529522i | |||||||
3.57162e6 | + | 5.84081e6i | 0.953546 | + | 1.55937i | |||||
− | 349712.i | − | 0.0928198i | |||||||
313205. | − | 1.45449e6i | 0.0826456 | − | 0.383797i | |||||
264535. | − | 2.01525e6i | 0.0693968 | − | 0.528670i | |||||
4.20709e6 | − | 3.39759e6i | 1.09726 | − | 0.886134i | |||||
1.12043e6 | 0.290529 | 0.145265 | − | 0.989393i | ||||||
0.145265 | + | 0.989393i | ||||||||
−2.82480e6 | + | 2.65828e6i | −0.728245 | + | 0.685317i | |||||
543582. | 0.139330 | 0.0696651 | − | 0.997570i | ||||||
0.0696651 | + | 0.997570i | ||||||||
−622645. | + | 502839.i | −0.158678 | + | 0.128146i | |||||
−543348. | + | 4.13926e6i | −0.137675 | + | 1.04882i | |||||
825186. | − | 3.83207e6i | 0.207891 | − | 0.965422i | |||||
− | 1.35780e6i | − | 0.340121i | |||||||
−2.44404e6 | − | 3.99684e6i | −0.608729 | − | 0.995476i | |||||
− | 1.09494e6i | − | 0.271163i | −0.990766 | − | 0.135582i | ||||
0.990766 | − | 0.135582i | ||||||||
−2.46689e6 | + | 1.24457e6i | −0.607459 | + | 0.306471i | |||||
563677. | + | 150579.i | 0.138017 | + | 0.0368695i | |||||
2.28114e6 | + | 2.82464e6i | 0.555387 | + | 0.687713i | |||||
3.16516e6 | 0.766278 | 0.383139 | − | 0.923691i | ||||||
0.383139 | + | 0.923691i | ||||||||
−1.68753e6 | − | 601919.i | −0.406252 | − | 0.144904i | |||||
400485. | 0.0958709 | |||||||||
−4.22524e6 | − | 5.23194e6i | −1.00581 | − | 1.24545i | |||||
6.09844e6 | + | 800522.i | 1.44361 | + | 0.189498i | |||||
1.29142e6 | + | 954097.i | 0.303998 | + | 0.224594i | |||||
7.74623e6i | 1.81332i | 0.421862 | + | 0.906660i | ||||||
−0.421862 | + | 0.906660i | ||||||||
−1.46026e6 | + | 649150.i | −0.339937 | + | 0.151117i | |||||
4.35190e6i | 1.00748i | |||||||||
1.83761e6 | + | 395705.i | 0.423065 | + | 0.0911014i | |||||
135432. | + | 17777.8i | 0.0310082 | + | 0.00407035i | |||||
4.75595e6 | − | 3.84084e6i | 1.08292 | − | 0.874554i | |||||
821422. | 0.186011 | |||||||||
−2.40522e6 | − | 6.87082e6i | −0.541679 | − | 1.54738i | |||||
−1.10785e6 | −0.248135 | −0.124068 | − | 0.992274i | ||||||
−0.124068 | + | 0.992274i | ||||||||
3.40630e6 | − | 2.75088e6i | 0.758785 | − | 0.612784i | |||||
−5.93851e6 | − | 2.45190e6i | −1.31567 | − | 0.543214i | |||||
−729395. | − | 157066.i | −0.160719 | − | 0.0346088i | |||||
2.76440e6i | 0.605826i | 0.953018 | + | 0.302913i | ||||||
−0.953018 | + | 0.302913i | ||||||||
1.27016e6 | − | 776694.i | 0.276855 | − | 0.169295i | |||||
− | 7.08557e6i | − | 1.53611i | −0.640384 | − | 0.768055i | ||||
0.640384 | − | 0.768055i | ||||||||
2.54796e6 | − | 5.64188e6i | 0.549411 | − | 1.21655i | |||||
259507. | − | 1.97694e6i | 0.0556565 | − | 0.423995i | |||||
2.53454e6 | + | 3.13841e6i | 0.540672 | + | 0.669492i | |||||
7.00008e6 | 1.48529 | 0.742644 | − | 0.669686i | ||||||
0.742644 | + | 0.669686i | ||||||||
1.34088e6 | − | 2.61930e6i | 0.282992 | − | 0.552804i | |||||
896704. | 0.188242 | |||||||||
−2.55404e6 | − | 3.16256e6i | −0.533314 | − | 0.660381i | |||||
−839764. | + | 6.39739e6i | −0.174424 | + | 1.32877i | |||||
571248. | + | 1.13228e6i | 0.118024 | + | 0.233936i | |||||
7.43536e6i | 1.52809i | |||||||||
628434. | − | 384284.i | 0.128473 | − | 0.0785608i | |||||
− | 2.99909e6i | − | 0.609896i | |||||||
−559848. | + | 2.59987e6i | −0.113254 | + | 0.525938i | |||||
−1.37714e6 | + | 5.15520e6i | −0.277130 | + | 1.03741i | |||||
−6.37784e6 | + | 5.15065e6i | −1.27674 | + | 1.03108i | |||||
2.35991e6 | 0.469956 | 0.234978 | − | 0.972001i | ||||||
0.234978 | + | 0.972001i | ||||||||
−3.96914e6 | + | 497261.i | −0.786310 | + | 0.0985103i | |||||
1.35917e6 | 0.267863 | |||||||||
−4.46803e6 | + | 3.60831e6i | −0.875988 | + | 0.707435i | |||||
398607. | + | 52323.8i | 0.0777458 | + | 0.0102054i | |||||
−285147. | + | 1.32419e6i | −0.0553294 | + | 0.256943i | |||||
2.33428e6i | 0.450609i | |||||||||
139253. | + | 5.20517e6i | 0.0267432 | + | 0.999642i | |||||
7.32192e6i | 1.39895i | 0.714656 | + | 0.699476i | ||||||
−0.714656 | + | 0.699476i | ||||||||
−581929. | − | 1.15345e6i | −0.110617 | − | 0.219255i | |||||
−2.41852e6 | − | 317471.i | −0.457380 | − | 0.0600389i | |||||
378029. | + | 468098.i | 0.0711271 | + | 0.0880738i | |||||
−714702. | −0.133789 | −0.0668947 | − | 0.997760i | ||||||
−0.0668947 | + | 0.997760i | ||||||||
−2.11664e6 | + | 5.93420e6i | −0.394217 | + | 1.10522i | |||||
1.02536e7 | 1.90003 | |||||||||
3.46964e6 | + | 4.29632e6i | 0.639687 | + | 0.792098i | |||||
−957275. | + | 3.58346e6i | −0.175600 | + | 0.657340i | |||||
−1.21692e6 | + | 2.69460e6i | −0.222105 | + | 0.491802i | |||||
− | 3.80428e6i | − | 0.690846i | |||||||
3.50256e6 | + | 5.72786e6i | 0.632866 | + | 1.03495i | |||||
1.06401e7i | 1.91291i | 0.291881 | + | 0.956455i | ||||||
−0.291881 | + | 0.956455i | ||||||||
−5.94177e6 | − | 1.27948e6i | −1.06290 | − | 0.228881i | |||||
−520331. | + | 3.96392e6i | −0.0926159 | + | 0.705554i | |||||
3.11638e6 | − | 2.51674e6i | 0.551938 | − | 0.445737i | |||||
−3.63711e6 | −0.640968 | −0.320484 | − | 0.947254i | ||||||
−0.320484 | + | 0.947254i | ||||||||
2.10973e6 | − | 441321.i | 0.369957 | − | 0.0773888i | |||||
−3.66049e6 | −0.638720 | |||||||||
798113. | − | 644545.i | 0.138576 | − | 0.111912i | |||||
462767. | − | 3.52539e6i | 0.0799544 | − | 0.609098i | |||||
−3.93776e6 | − | 847944.i | −0.677002 | − | 0.145783i | |||||
6.58725e6i | 1.12696i | 0.826129 | + | 0.563481i | ||||||
−0.826129 | + | 0.563481i | ||||||||
−3.45651e6 | − | 5.65256e6i | −0.588454 | − | 0.962321i | |||||
2.60325e6i | 0.441025i | |||||||||
5.84709e6 | + | 997935.i | 0.985746 | + | 0.168239i | |||||
−9.03256e6 | − | 3.72938e6i | −1.51537 | − | 0.625667i | |||||
−4.64051e6 | − | 5.74615e6i | −0.774743 | − | 0.959333i | |||||
−3.09869e6 | −0.514826 | |||||||||
−3.61635e6 | + | 1.01388e7i | −0.597925 | + | 1.67633i | |||||
5.58932e6 | 0.919672 | |||||||||
625509. | + | 774542.i | 0.102426 | + | 0.126830i | |||||
632324. | + | 83003.1i | 0.103044 | + | 0.0135262i | |||||
2.70928e6 | − | 1.36687e6i | 0.439386 | − | 0.221676i | |||||
4.47912e6i | 0.722934i | 0.932385 | + | 0.361467i | ||||||
−0.932385 | + | 0.361467i | ||||||||
−3.37572e6 | − | 7.59365e6i | −0.542238 | − | 1.21976i | |||||
− | 3.99101e6i | − | 0.638012i | −0.947753 | − | 0.319006i | ||||
0.947753 | − | 0.319006i | ||||||||
503588. | − | 2.33861e6i | 0.0801211 | − | 0.372074i | |||||
880436. | + | 115572.i | 0.139412 | + | 0.0183001i | |||||
1.57945e6 | − | 1.27554e6i | 0.248910 | − | 0.201016i | |||||
−4.89721e6 | −0.768107 | |||||||||
2.89690e6 | − | 4.67533e6i | 0.452218 | − | 0.729839i | |||||
−6.15932e6 | −0.956960 | |||||||||
−4.28107e6 | + | 3.45733e6i | −0.662007 | + | 0.534627i | |||||
1.64478e6 | + | 439380.i | 0.253146 | + | 0.0676245i | |||||
−851537. | + | 3.95444e6i | −0.130444 | + | 0.605768i | |||||
− | 4.77952e6i | − | 0.728729i | |||||||
−680116. | + | 415887.i | −0.103212 | + | 0.0631135i | |||||
− | 2.05970e6i | − | 0.311114i | |||||||
2.95758e6 | − | 1.49214e6i | 0.444657 | − | 0.224335i | |||||
−771280. | + | 5.87567e6i | −0.115419 | + | 0.879268i | |||||
2.41831e6 | + | 2.99450e6i | 0.360211 | + | 0.446034i | |||||
−827288. | −0.122655 | |||||||||
−3.04823e6 | + | 4.42078e6i | −0.449845 | + | 0.652400i | |||||
1.18244e7 | 1.73694 | 0.868470 | − | 0.495742i | ||||||
0.868470 | + | 0.495742i | ||||||||
434072. | + | 537493.i | 0.0634692 | + | 0.0785914i | |||||
1.33578e6 | − | 1.01761e7i | 0.194417 | − | 1.48109i | |||||
2.47971e6 | + | 9.50671e6i | 0.359256 | + | 1.37731i | |||||
− | 5.42658e6i | − | 0.782592i | |||||||
−1.39496e6 | + | 853012.i | −0.200254 | + | 0.122454i | |||||
5.03397e6i | 0.719353i | 0.933077 | + | 0.359677i | ||||||
−0.933077 | + | 0.359677i | ||||||||
−1.15374e7 | − | 2.48443e6i | −1.64118 | − | 0.353407i | |||||
−1.67553e6 | − | 447596.i | −0.237258 | − | 0.0633804i | |||||
1.76286e6 | − | 1.42366e6i | 0.248491 | − | 0.200678i | |||||
1.55959e7 | 2.18843 | |||||||||
1.40179e6 | − | 490713.i | 0.195810 | − | 0.0685456i | |||||
−409316. | −0.0569175 | |||||||||
6.39486e6 | − | 5.16440e6i | 0.885231 | − | 0.714900i | |||||
−2.45923e6 | − | 322815.i | −0.338896 | − | 0.0444857i | |||||
1.28074e7 | + | 2.75790e6i | 1.75701 | + | 0.378348i | |||||
− | 1.14297e7i | − | 1.56098i | −0.625167 | − | 0.780491i | ||||
0.625167 | − | 0.780491i | ||||||||
1.61227e6 | + | 3.62678e6i | 0.219206 | + | 0.493101i | |||||
− | 8.16596e6i | − | 1.10529i | |||||||
2.02577e6 | + | 914870.i | 0.272974 | + | 0.123279i | |||||
9.03247e6 | + | 1.18566e6i | 1.21171 | + | 0.159058i | |||||
8.02230e6 | + | 9.93369e6i | 1.07142 | + | 1.32669i | |||||
5.20508e6 | 0.692080 | 0.346040 | − | 0.938220i | ||||||
0.346040 | + | 0.938220i | ||||||||
7.62153e6 | + | 2.71849e6i | 1.00889 | + | 0.359858i | |||||
2.60223e6 | 0.342945 | |||||||||
−2.01918e6 | − | 2.50026e6i | −0.264931 | − | 0.328053i | |||||
1.44290e6 | − | 2.50795e6i | 0.188486 | − | 0.327613i | |||||
−6.33042e6 | − | 1.25476e7i | −0.823306 | − | 1.63188i | |||||
− | 1.36150e7i | − | 1.76294i | −0.472243 | − | 0.881468i | ||||
0.472243 | − | 0.881468i | ||||||||
−5.25740e6 | − | 8.59763e6i | −0.677773 | − | 1.10839i | |||||
2.37109e6i | 0.304340i | 0.988354 | + | 0.152170i | ||||||
−0.988354 | + | 0.152170i | ||||||||
−878335. | + | 4.07889e6i | −0.112246 | + | 0.521257i | |||||
335013. | − | 2.55215e6i | 0.0426261 | − | 0.324728i | |||||
2.72367e6 | − | 2.19960e6i | 0.345044 | − | 0.278653i | |||||
611876. | 0.0771781 | |||||||||
6.22413e6 | − | 4.96625e6i | 0.781668 | − | 0.623695i | |||||
−9.60114e6 | −1.20056 | −0.600279 | − | 0.799791i | ||||||
−0.600279 | + | 0.799791i | ||||||||
−6.41153e6 | + | 5.17786e6i | −0.798256 | + | 0.644660i | |||||
−1.56212e6 | + | 1.19004e7i | −0.193651 | + | 1.47525i | |||||
1.80408e6 | − | 8.37793e6i | 0.222682 | − | 1.03411i | |||||
− | 3.73072e6i | − | 0.458513i | |||||||
−2.42406e6 | − | 3.96415e6i | −0.296644 | − | 0.485113i | |||||
− | 7.56610e6i | − | 0.921936i | |||||||
4.33187e6 | + | 8.58625e6i | 0.525586 | + | 1.04177i | |||||
1.05134e6 | − | 3.93558e6i | 0.127014 | − | 0.475465i | |||||
−8.24125e6 | − | 1.02048e7i | −0.991401 | − | 1.22761i | |||||
−9.44610e6 | −1.13151 | −0.565753 | − | 0.824575i | ||||||
−0.565753 | + | 0.824575i | ||||||||
−1.12808e6 | − | 402370.i | −0.134554 | − | 0.0479935i | |||||
−7.44872e6 | −0.884695 | |||||||||
1.10307e6 | + | 1.36588e6i | 0.130458 | + | 0.161541i | |||||
−1.00058e7 | − | 1.31344e6i | −1.17838 | − | 0.154682i | |||||
3.35196e6 | + | 1.51380e6i | 0.393093 | + | 0.177527i | |||||
− | 2.55949e6i | − | 0.298894i | −0.988770 | − | 0.149447i | ||||
0.988770 | − | 0.149447i | ||||||||
−2.09561e6 | − | 7.07963e6i | −0.243693 | − | 0.823274i | |||||
3.68167e6i | 0.426336i | |||||||||
−1.23433e7 | − | 2.65797e6i | −1.42337 | − | 0.306503i | |||||
−2.00746e6 | − | 263513.i | −0.230521 | − | 0.0302598i | |||||
−876536. | + | 707878.i | −0.100234 | + | 0.0809479i | |||||
−6.35830e6 | −0.724059 | −0.362030 | − | 0.932167i | ||||||
−0.362030 | + | 0.932167i | ||||||||
3.09624e6 | − | 1.08388e6i | 0.351121 | − | 0.122914i | |||||
−4.70528e6 | −0.531373 | −0.265687 | − | 0.964059i | ||||||
−0.265687 | + | 0.964059i | ||||||||
4.65348e6 | − | 3.75808e6i | 0.523343 | − | 0.422644i | |||||
1.14769e6 | − | 4.29627e6i | 0.128538 | − | 0.481169i | |||||
−274117. | − | 59027.5i | −0.0305734 | − | 0.00658358i | |||||
1.87518e6i | 0.208284i | |||||||||
6.21635e6 | − | 3.80126e6i | 0.687628 | − | 0.420481i | |||||
− | 1.14458e7i | − | 1.26089i | −0.776236 | − | 0.630443i | ||||
0.776236 | − | 0.630443i | ||||||||
3.77168e6 | + | 1.44598e7i | 0.413786 | + | 1.58637i | |||||
−600999. | + | 4.57845e6i | −0.0656644 | + | 0.500236i | |||||
−1.12369e6 | − | 1.39142e6i | −0.122271 | − | 0.151403i | |||||
−6.13853e6 | −0.665214 | |||||||||
1.17399e7 | + | 6.00990e6i | 1.26703 | + | 0.648618i | |||||
−5.56627e6 | −0.598292 | −0.299146 | − | 0.954207i | ||||||
−0.299146 | + | 0.954207i | ||||||||
4.60277e6 | + | 5.69942e6i | 0.492718 | + | 0.610112i | |||||
−1.13517e6 | + | 8.64784e6i | −0.121025 | + | 0.921977i | |||||
−2.72863e6 | + | 1.37663e6i | −0.289730 | + | 0.146172i | |||||
− | 9.77784e6i | − | 1.03402i | −0.855979 | − | 0.517011i | ||||
0.855979 | − | 0.517011i | ||||||||
5.26229e6 | − | 3.21786e6i | 0.554247 | − | 0.338919i | |||||
− | 401672.i | − | 0.0421352i | −0.999778 | − | 0.0210676i | ||||
0.999778 | − | 0.0210676i | ||||||||
−861640. | + | 4.00136e6i | −0.0900216 | + | 0.418050i | |||||
760869. | − | 1.84283e6i | 0.0791737 | − | 0.191759i | |||||
−1.28035e7 | + | 1.03399e7i | −1.32694 | + | 1.07162i | |||||
442978. | 0.0457259 | |||||||||
−3.18155e6 | + | 5.13473e6i | −0.327097 | + | 0.527905i | |||||
−4.78118e6 | −0.489593 | |||||||||
−8.18822e6 | + | 6.61269e6i | −0.835130 | + | 0.674439i | |||||
1.37385e7 | + | 1.80341e6i | 1.39563 | + | 0.183200i | |||||
2.78827e6 | − | 1.29484e7i | 0.282121 | − | 1.31014i | |||||
6.09190e6i | 0.613941i | |||||||||
2.72658e6 | − | 1.21209e6i | 0.273695 | − | 0.121670i | |||||
− | 1.37179e6i | − | 0.137155i | −0.997646 | − | 0.0685777i | ||||
0.997646 | − | 0.0685777i | ||||||||
−1.35004e6 | + | 681112.i | −0.134448 | + | 0.0678307i | |||||
−6.93261e6 | − | 910022.i | −0.687682 | − | 0.0902698i | |||||
−816148. | − | 1.01060e6i | −0.0806391 | − | 0.0998521i | |||||
−5.57625e6 | −0.548792 | |||||||||
3.67994e6 | − | 1.03170e7i | 0.360744 | − | 1.01138i | |||||
908578. | 0.0887184 | |||||||||
7.40332e6 | + | 9.16723e6i | 0.720070 | + | 0.891634i | |||||
−1.82270e7 | − | 4.86909e6i | −1.76588 | − | 0.471733i | |||||
8.20394e6 | − | 353439.i | 0.791722 | − | 0.0341086i | |||||
− | 5.19717e6i | − | 0.499599i | −0.968298 | − | 0.249800i | ||||
0.968298 | − | 0.249800i | ||||||||
2.13891e6 | + | 3.49784e6i | 0.204812 | + | 0.334937i | |||||
− | 406989.i | − | 0.0388200i | −0.999812 | − | 0.0194100i | ||||
0.999812 | − | 0.0194100i | ||||||||
−806787. | − | 173731.i | −0.0766556 | − | 0.0165068i | |||||
−1.93948e6 | + | 1.47751e7i | −0.183564 | + | 1.39840i | |||||
−1.92564e7 | + | 1.55512e7i | −1.81549 | + | 1.46616i | |||||
−4.46242e6 | −0.419092 | −0.209546 | − | 0.977799i | ||||||
−0.209546 | + | 0.977799i | ||||||||
585797. | − | 1.06729e7i | 0.0548037 | − | 0.998497i | |||||
−2.41398e6 | −0.224969 | |||||||||
−1.93608e6 | + | 1.56355e6i | −0.179738 | + | 0.145154i | |||||
287041. | − | 2.18670e6i | 0.0265455 | − | 0.202226i | |||||
4.89512e6 | + | 1.05410e6i | 0.450967 | + | 0.0971098i | |||||
− | 1.37929e6i | − | 0.126582i | −0.997995 | − | 0.0632909i | ||||
0.997995 | − | 0.0632909i | ||||||||
5.63528e6 | + | 9.21558e6i | 0.515194 | + | 0.842516i | |||||
− | 3.31169e6i | − | 0.301611i | |||||||
5.32325e6 | − | 1.17871e7i | 0.482967 | − | 1.06942i | |||||
1.24726e7 | + | 3.33190e6i | 1.12731 | + | 0.301147i | |||||
−2.82503e6 | − | 3.49812e6i | −0.254366 | − | 0.314971i | |||||
−1.17955e7 | −1.05804 | −0.529022 | − | 0.848608i | ||||||
−0.529022 | + | 0.848608i | ||||||||
2.55799e6 | − | 7.17155e6i | 0.228580 | − | 0.640845i | |||||
1.10195e6 | 0.0980980 | 0.0490490 | − | 0.998796i | ||||||
0.0490490 | + | 0.998796i | ||||||||
2.73295e6 | + | 3.38410e6i | 0.242374 | + | 0.300122i | |||||
−9.92000e6 | − | 1.30217e6i | −0.876452 | − | 0.115049i | |||||
−6.20801e6 | − | 1.23050e7i | −0.546427 | − | 1.08308i | |||||
5.59987e6i | 0.491048i | |||||||||
4.51156e6 | − | 2.00559e6i | 0.394131 | − | 0.175209i | |||||
3.18188e6i | 0.276930i | |||||||||
1.72766e6 | − | 8.02304e6i | 0.149801 | − | 0.695661i | |||||
1.83743e7 | + | 2.41194e6i | 1.58725 | + | 0.208354i | |||||
3.56778e6 | − | 2.88129e6i | 0.307051 | − | 0.247970i | |||||
2.45912e6 | 0.210850 | |||||||||
−4.39028e6 | + | 550022.i | −0.375033 | + | 0.0469848i | |||||
1.37263e7 | 1.16820 | 0.584098 | − | 0.811683i | ||||||
0.584098 | + | 0.811683i | ||||||||
−1.50670e6 | + | 1.21679e6i | −0.127755 | + | 0.103173i | |||||
1.68059e6 | − | 4.07040e6i | 0.141972 | − | 0.343857i | |||||
−1.53652e6 | + | 7.13545e6i | −0.129322 | + | 0.600557i | |||||
− | 8.78449e6i | − | 0.736622i | −0.929703 | − | 0.368311i | ||||
0.929703 | − | 0.368311i | ||||||||
−4.41918e6 | + | 2.70231e6i | −0.369205 | + | 0.225767i | |||||
2.58196e6i | 0.214919i | |||||||||
6.12639e6 | + | 1.21432e7i | 0.508080 | + | 1.00707i | |||||
−2.19251e6 | + | 1.67027e7i | −0.181165 | + | 1.38013i | |||||
−3.53588e6 | − | 4.37833e6i | −0.291096 | − | 0.360452i | |||||
2.47234e6 | 0.202795 | 0.101398 | − | 0.994846i | ||||||
0.101398 | + | 0.994846i | ||||||||
1.78565e7 | + | 9.14115e6i | 1.45934 | + | 0.747069i | |||||
−1.63381e7 | −1.33038 | |||||||||
418139. | + | 517765.i | 0.0339243 | + | 0.0420071i | |||||
−1.57031e6 | + | 1.19628e7i | −0.126939 | + | 0.967029i | |||||
9.09495e6 | − | 2.01387e7i | 0.732536 | − | 1.62204i | |||||
8.30955e6i | 0.666852i | |||||||||
1.75409e6 | − | 1.07262e6i | 0.140259 | − | 0.0857674i | |||||
− | 1.79021e6i | − | 0.142629i | −0.997454 | − | 0.0713146i | ||||
0.997454 | − | 0.0713146i | ||||||||
−1.27983e6 | − | 275595.i | −0.101599 | − | 0.0218780i | |||||
−1.05884e6 | + | 3.96368e6i | −0.0837528 | + | 0.313520i | |||||
−1.52619e7 | + | 1.23253e7i | −1.20285 | + | 0.971400i | |||||
1.81365e7 | 1.42427 | |||||||||
5.63639e6 | + | 1.61011e7i | 0.441040 | + | 1.25989i | |||||
2.14221e7 | 1.67025 | |||||||||
1.26148e7 | − | 1.01875e7i | 0.980033 | − | 0.791460i | |||||
−1.10220e7 | − | 1.44682e6i | −0.853230 | − | 0.112001i | |||||
−1.78202e6 | − | 383734.i | −0.137457 | − | 0.0295995i | |||||
− | 2.41968e7i | − | 1.85979i | −0.367829 | − | 0.929894i | ||||
0.367829 | − | 0.929894i | ||||||||
2.30152e6 | + | 7.77528e6i | 0.176267 | + | 0.595488i | |||||
9.26588e6i | 0.707128i | |||||||||
−6.70905e6 | + | 9.08102e6i | −0.510187 | + | 0.690562i | |||||
1.11068e7 | + | 1.45795e6i | 0.841619 | + | 0.110477i | |||||
1.41901e7 | + | 1.75710e7i | 1.07145 | + | 1.32673i | |||||
−4.04888e6 | −0.304639 | |||||||||
−3.29167e6 | − | 1.17409e6i | −0.246793 | − | 0.0880277i | |||||
2.75535e6 | 0.205855 | 0.102928 | − | 0.994689i | ||||||
0.102928 | + | 0.994689i | ||||||||
−1.22239e7 | − | 1.51364e7i | −0.910047 | − | 1.12687i | |||||
−523883. | + | 1.96111e6i | −0.0388652 | + | 0.145488i | |||||
1.46107e6 | − | 737127.i | 0.108012 | − | 0.0544932i | |||||
− | 1.51969e6i | − | 0.111952i | |||||||
−3.82326e6 | − | 6.25232e6i | −0.280665 | − | 0.458982i | |||||
5.77610e6i | 0.422542i | |||||||||
2.56088e6 | − | 1.18924e7i | 0.186684 | − | 0.866939i | |||||
2.94020e6 | − | 2.23987e7i | 0.213589 | − | 1.62714i | |||||
8.96174e6 | − | 7.23737e6i | 0.648756 | − | 0.523926i | |||||
−7.78137e6 | −0.561350 | −0.280675 | − | 0.959803i | ||||||
−0.280675 | + | 0.959803i | ||||||||
6.97609e6 | − | 8.53490e6i | 0.501511 | − | 0.613574i | |||||
−3.42748e6 | −0.245548 | |||||||||
−1.83921e7 | + | 1.48532e7i | −1.31307 | + | 1.06042i | |||||
2.05977e6 | − | 1.56915e7i | 0.146546 | − | 1.11640i | |||||
−4.43519e6 | + | 2.05965e7i | −0.314460 | + | 1.46032i | |||||
7.02809e6i | 0.496583i | |||||||||
−1.94730e6 | − | 3.18449e6i | −0.137117 | − | 0.224232i | |||||
1.69934e7i | 1.19246i | 0.802812 | + | 0.596232i | ||||||
−0.802812 | + | 0.596232i | ||||||||
2.99675e6 | − | 1.51190e6i | 0.209566 | − | 0.105729i | |||||
−1.01693e7 | − | 1.01231e7i | −0.708714 | − | 0.705496i | |||||
8.36475e6 | + | 1.03577e7i | 0.580960 | + | 0.719378i | |||||
3.66004e7 | 2.53333 | |||||||||
3.35322e6 | + | 1.19605e6i | 0.231305 | + | 0.0825031i | |||||
−1.94968e7 | −1.34031 | −0.670153 | − | 0.742223i | ||||||
−0.670153 | + | 0.742223i | ||||||||
7.12198e6 | + | 8.81886e6i | 0.487934 | + | 0.604188i | |||||
−1.64394e6 | − | 215795.i | −0.112245 | − | 0.0147341i | |||||
−2.95010e6 | + | 769500.i | −0.200744 | + | 0.0523617i | |||||
6.30547e6i | 0.427611i | |||||||||
−7.05263e6 | − | 1.58648e7i | −0.476662 | − | 1.07225i | |||||
2.33899e7i | 1.57549i | 0.616000 | + | 0.787747i | ||||||
−0.616000 | + | 0.787747i | ||||||||
4.97751e6 | + | 1.07184e6i | 0.334143 | + | 0.0719534i | |||||
−1.50885e7 | − | 1.98062e6i | −1.00948 | − | 0.132512i | |||||
−4.73531e6 | + | 3.82416e6i | −0.315746 | + | 0.254992i | |||||
2.36878e7 | 1.57417 | 0.787085 | − | 0.616844i | ||||||
0.787085 | + | 0.616844i | ||||||||
−2.69198e6 | − | 7.69000e6i | −0.178295 | − | 0.509324i | |||||
−1.74794e7 | −1.15381 | |||||||||
−2.82908e6 | + | 2.28473e6i | −0.186122 | + | 0.150310i | |||||
−1.78745e7 | − | 4.77494e6i | −1.17201 | − | 0.313088i | |||||
−1.82819e7 | − | 3.93676e6i | −1.19472 | − | 0.257267i | |||||
− | 2.27824e6i | − | 0.148387i | |||||||
1.42891e7 | − | 8.73771e6i | 0.927581 | − | 0.567211i | |||||
9.85141e6i | 0.637380i | 0.947859 | + | 0.318690i | ||||||
−0.947859 | + | 0.318690i | ||||||||
−1.51387e7 | − | 6.83687e6i | −0.976213 | − | 0.440872i | |||||
−1.43666e6 | + | 1.09446e7i | −0.0923350 | + | 0.703415i | |||||
−8.13078e6 | − | 1.00680e7i | −0.520839 | − | 0.644934i | |||||
−388176. | −0.0247834 | |||||||||
−3.37166e6 | + | 4.88984e6i | −0.214555 | + | 0.311164i | |||||
−1.86760e7 | −1.18452 | −0.592262 | − | 0.805745i | ||||||
−0.592262 | + | 0.805745i | ||||||||
−6.70036e6 | − | 8.29678e6i | −0.423570 | − | 0.524489i | |||||
−367933. | + | 2.80294e6i | −0.0231827 | + | 0.176607i | |||||
9.31833e6 | + | 1.84700e7i | 0.585200 | + | 1.15993i | |||||
3.39083e6i | 0.212248i | 0.994353 | + | 0.106124i | ||||||
−0.994353 | + | 0.106124i | ||||||||
9.46974e6 | − | 5.79070e6i | 0.590814 | − | 0.361280i | |||||
− | 6.00236e6i | − | 0.373259i | |||||||
−1.11234e6 | + | 5.16560e6i | −0.0689455 | + | 0.320175i | |||||
1.76395e7 | + | 4.71216e6i | 1.08977 | + | 0.291116i | |||||
−1.51474e7 | + | 1.22328e7i | −0.932752 | + | 0.753277i | |||||
2.65118e6 | 0.162724 | |||||||||
−1.35651e7 | + | 9.11967e6i | −0.829891 | + | 0.557925i | |||||
3.88330e6 | 0.236802 | 0.118401 | − | 0.992966i | ||||||
0.118401 | + | 0.992966i | ||||||||
−3.29159e6 | + | 2.65824e6i | −0.200068 | + | 0.161572i | |||||
2.01802e7 | + | 2.64899e6i | 1.22262 | + | 0.160489i | |||||
5.18672e6 | − | 2.40866e7i | 0.313220 | − | 1.45456i | |||||
4.33830e6i | 0.261139i | 0.991439 | + | 0.130569i | ||||||
−0.991439 | + | 0.130569i | ||||||||
−1.20496e7 | − | 2.71056e7i | −0.722973 | − | 1.62632i | |||||
− | 3.35667e6i | − | 0.200749i | |||||||
4.29645e6 | + | 8.51604e6i | 0.256127 | + | 0.507672i | |||||
−2.72016e6 | − | 357066.i | −0.161637 | − | 0.0212176i | |||||
−447282. | − | 553851.i | −0.0264931 | − | 0.0328053i | |||||
3.25834e7 | 1.92377 | |||||||||
−2.80934e6 | + | 7.87623e6i | −0.165336 | + | 0.463534i | |||||
2.67511e7 | 1.56933 | |||||||||
−3.17276e6 | − | 3.92869e6i | −0.185532 | − | 0.229737i | |||||
2.11669e7 | + | 8.73944e6i | 1.23383 | + | 0.509424i | |||||
2.24072e6 | + | 1.01194e6i | 0.130196 | + | 0.0587983i | |||||
− | 1.83362e7i | − | 1.06203i | |||||||
3.43905e6 | + | 5.62401e6i | 0.198556 | + | 0.324706i | |||||
− | 127599.i | − | 0.00734365i | −0.999993 | − | 0.00367182i | ||||
0.999993 | − | 0.00367182i | ||||||||
2.02520e7 | + | 4.36100e6i | 1.16186 | + | 0.250190i | |||||
−728133. | + | 5.54697e6i | −0.0416407 | + | 0.317222i | |||||
−1.62857e6 | + | 1.31521e6i | −0.0928410 | + | 0.0749771i | |||||
2.87834e6 | 0.163569 | |||||||||
3.10330e6 | + | 1.48353e7i | 0.175797 | + | 0.840394i | |||||
−2.70075e6 | −0.152511 | |||||||||
−2.17005e7 | + | 1.75250e7i | −1.22157 | + | 0.986523i | |||||
1.97359e6 | − | 1.50349e7i | 0.110749 | − | 0.843691i | |||||
4.06313e6 | + | 874941.i | 0.227289 | + | 0.0489436i | |||||
2.09099e7i | 1.16602i | 0.812464 | + | 0.583011i | ||||||
−0.812464 | + | 0.583011i | ||||||||
−5.81523e6 | − | 9.50987e6i | −0.323266 | − | 0.528649i | |||||
− | 2.75133e7i | − | 1.52467i | |||||||
−6.51613e6 | + | 1.69966e6i | −0.359969 | + | 0.0938937i | |||||
566967. | − | 2.12239e6i | 0.0312231 | − | 0.116881i | |||||
3.06535e6 | + | 3.79570e6i | 0.168285 | + | 0.208380i | |||||
−1.83056e7 | −1.00183 | |||||||||
−3.06681e6 | + | 8.59807e6i | −0.167320 | + | 0.469095i | |||||
−1.14249e6 | −0.0621387 | |||||||||
3.88332e6 | + | 4.80855e6i | 0.210555 | + | 0.260721i | |||||
−1.05165e7 | − | 1.38047e6i | −0.568446 | − | 0.0746180i | |||||
−1.33543e7 | + | 6.73743e6i | −0.719605 | + | 0.363050i | |||||
2.83460e6i | 0.152272i | 0.997097 | + | 0.0761361i | ||||||
−0.997097 | + | 0.0761361i | ||||||||
−2.31757e6 | − | 1.46149e7i | −0.124114 | − | 0.782677i | |||||
4.12579e6i | 0.220270i | 0.993917 | + | 0.110135i | ||||||
−0.993917 | + | 0.110135i | ||||||||
1.99550e6 | − | 9.26686e6i | 0.106209 | − | 0.493222i | |||||
−1.88765e6 | − | 247786.i | −0.100160 | − | 0.0131477i | |||||
−5.44645e6 | + | 4.39848e6i | −0.288106 | + | 0.232670i | |||||
6.93197e6 | 0.365563 | |||||||||
−2.30142e7 | − | 1.42599e7i | −1.20996 | − | 0.749707i | |||||
5.56697e7 | 2.91786 | |||||||||
9.64171e6 | − | 7.78650e6i | 0.503815 | − | 0.406873i | |||||
1.16289e6 | − | 4.35316e6i | 0.0605798 | − | 0.226775i | |||||
3.76912e6 | − | 1.75034e7i | 0.195752 | − | 0.909049i | |||||
3.09426e7i | 1.60214i | 0.598573 | + | 0.801068i | ||||||
−0.598573 | + | 0.801068i | ||||||||
2.77458e7 | − | 1.69664e7i | 1.43225 | − | 0.875811i | |||||
− | 3.78985e7i | − | 1.95039i | −0.221343 | − | 0.975196i | ||||
0.221343 | − | 0.975196i | ||||||||
−1.13048e7 | + | 5.70340e6i | −0.580022 | + | 0.292628i | |||||
−812683. | + | 6.19108e6i | −0.0415706 | + | 0.316688i | |||||
1.22011e6 | + | 1.51081e6i | 0.0622225 | + | 0.0770476i | |||||
−8.10586e6 | −0.412131 | −0.206066 | − | 0.978538i | ||||||
−0.206066 | + | 0.978538i | ||||||||
−1.86498e6 | + | 3.64310e6i | −0.0945363 | + | 0.184669i | |||||
−5.94605e6 | −0.300498 | −0.150249 | − | 0.988648i | ||||||
−0.150249 | + | 0.988648i | ||||||||
−1.19875e7 | − | 1.48437e7i | −0.603996 | − | 0.747904i | |||||
−2.94805e6 | + | 2.24585e7i | −0.148092 | + | 1.12818i | |||||
7.36829e6 | − | 9.97332e6i | 0.369027 | − | 0.499495i | |||||
4.07231e6i | 0.203342i | |||||||||
−3.07999e7 | + | 1.88340e7i | −1.53332 | + | 0.937620i | |||||
− | 1.13614e7i | − | 0.563918i | |||||||
−2.78070e7 | − | 5.98787e6i | −1.37606 | − | 0.296317i | |||||
−1.01095e7 | − | 4.17402e6i | −0.498787 | − | 0.205940i | |||||
1.61193e7 | − | 1.30177e7i | 0.792931 | − | 0.640359i | |||||
−1.52217e7 | −0.746548 | −0.373274 | − | 0.927721i | ||||||
−0.373274 | + | 0.927721i | ||||||||
−5.78126e6 | + | 2.02380e6i | −0.282699 | + | 0.0989624i | |||||
−1.60364e7 | −0.781838 | |||||||||
2.64474e7 | − | 2.13586e7i | 1.28559 | − | 1.03823i | |||||
−3.48867e7 | − | 4.57946e6i | −1.69079 | − | 0.221945i | |||||
1.40317e7 | + | 3.02155e6i | 0.678039 | + | 0.146007i | |||||
1.01045e7i | 0.486824i | |||||||||
−2.03759e7 | + | 9.05799e6i | −0.978792 | + | 0.435117i | |||||
2.07415e6i | 0.0993415i | |||||||||
−9.25487e6 | + | 2.04928e7i | −0.441958 | + | 0.978617i | |||||
8.78081e6 | + | 1.15263e6i | 0.418086 | + | 0.0548808i | |||||
−7.00793e6 | − | 8.67763e6i | −0.332692 | − | 0.411959i | |||||
−1.89043e6 | −0.0894821 | |||||||||
3.64774e7 | + | 1.30110e7i | 1.72157 | + | 0.614061i | |||||
−1.14805e7 | −0.540240 | −0.270120 | − | 0.962827i | ||||||
−0.270120 | + | 0.962827i | ||||||||
−1.24292e6 | − | 1.53906e6i | −0.0583175 | − | 0.0722121i | |||||
2.68300e7 | + | 7.16727e6i | 1.25518 | + | 0.335304i | |||||
−3.79105e6 | − | 7.51428e6i | −0.176838 | − | 0.350512i | |||||
− | 7.23435e6i | − | 0.336471i | −0.985747 | − | 0.168236i | ||||
0.985747 | − | 0.168236i | ||||||||
−5.99824e6 | − | 9.80915e6i | −0.278167 | − | 0.454897i | |||||
3.67531e6i | 0.169946i | 0.996383 | + | 0.0849729i | ||||||
−0.996383 | + | 0.0849729i | ||||||||
6.43966e6 | − | 2.99051e7i | 0.296905 | − | 1.37879i | |||||
−1.25562e6 | + | 9.56541e6i | −0.0577232 | + | 0.439740i | |||||
4.93092e6 | − | 3.98214e6i | 0.226027 | − | 0.182536i | |||||
−3.05585e6 | −0.139670 | −0.0698352 | − | 0.997559i | ||||||
−0.0698352 | + | 0.997559i | ||||||||
−2.98386e6 | + | 2.17386e7i | −0.135986 | + | 0.990711i | |||||
−1.81237e6 | −0.0823581 | |||||||||
2.39227e6 | − | 1.93196e6i | 0.108396 | − | 0.0875394i | |||||
2.95574e6 | − | 2.25170e7i | 0.133542 | − | 1.01733i | |||||
−953063. | + | 4.42592e6i | −0.0429361 | + | 0.199390i | |||||
− | 2.87824e6i | − | 0.129294i | |||||||
1.23202e7 | + | 2.01477e7i | 0.551849 | + | 0.902460i | |||||
− | 6.92505e6i | − | 0.309298i | |||||||
−9.98808e6 | − | 1.97975e7i | −0.444827 | − | 0.881696i | |||||
1.23706e7 | + | 3.30465e6i | 0.549359 | + | 0.146754i | |||||
−4.82581e6 | − | 5.97560e6i | −0.213694 | − | 0.264608i | |||||
−9.30689e6 | −0.410946 | |||||||||
−2.49613e7 | − | 8.90335e6i | −1.09902 | − | 0.392007i | |||||
−2.33195e6 | −0.102381 | −0.0511906 | − | 0.998689i | ||||||
−0.0511906 | + | 0.998689i | ||||||||
−3.89157e6 | − | 4.81877e6i | −0.170368 | − | 0.210960i | |||||
3.58388e7 | + | 4.70445e6i | 1.56452 | + | 0.205370i | |||||
−6.43321e6 | + | 1.42449e7i | −0.280041 | + | 0.620087i | |||||
2.44678e7i | 1.06207i | 0.847348 | + | 0.531037i | ||||||
−0.847348 | + | 0.531037i | ||||||||
3.01588e6 | − | 1.34069e6i | 0.130540 | − | 0.0580307i | |||||
− | 1.21881e7i | − | 0.526060i | −0.964788 | − | 0.263030i | ||||
0.964788 | − | 0.263030i | ||||||||
2.00782e7 | + | 4.32359e6i | 0.864162 | + | 0.186086i | |||||
−4.79692e6 | − | 629676.i | −0.205875 | − | 0.0270246i | |||||
1.39296e7 | − | 1.12494e7i | 0.596150 | − | 0.481442i | |||||
−2.95279e7 | −1.26015 | −0.630077 | − | 0.776533i | ||||||
−0.630077 | + | 0.776533i | ||||||||
−9.56602e6 | + | 3.34870e6i | −0.407098 | + | 0.142510i | |||||
−6.16791e6 | −0.261748 | |||||||||
1.76251e6 | − | 1.42338e6i | 0.0745858 | − | 0.0602344i | |||||
1.76355e7 | + | 1.01462e7i | 0.744206 | + | 0.428164i | |||||
−3.71899e7 | − | 8.00836e6i | −1.56500 | − | 0.337001i | |||||
− | 4.18482e7i | − | 1.75609i | |||||||
2.96839e7 | − | 1.81516e7i | 1.24216 | − | 0.759575i | |||||
− | 1.68409e7i | − | 0.702759i | |||||||
9.07441e6 | − | 390940.i | 0.377614 | − | 0.0162682i | |||||
404086. | − | 3.07836e6i | 0.0167684 | − | 0.127743i | |||||
2.75311e7 | + | 3.40906e7i | 1.13929 | + | 1.41073i | |||||
1.74554e7 | 0.720327 | |||||||||
−4.11933e6 | + | 8.04681e6i | −0.169520 | + | 0.331144i | |||||
−3.72440e7 | −1.52842 | |||||||||
1.54672e7 | + | 1.91524e7i | 0.632988 | + | 0.783803i | |||||
−2.14527e6 | + | 1.63428e7i | −0.0875512 | + | 0.666971i | |||||
9.49357e6 | − | 4.78962e6i | 0.386374 | − | 0.194931i | |||||
2.91667e7i | 1.18376i | |||||||||
659212. | − | 403105.i | 0.0266812 | − | 0.0163154i | |||||
185741.i | 0.00749703i | 0.999993 | + | 0.00374852i | ||||||
−0.999993 | + | 0.00374852i | ||||||||
7.27979e6 | − | 3.38065e7i | 0.293025 | − | 1.36077i | |||||
−5.18215e6 | + | 1.93989e7i | −0.208018 | + | 0.778694i | |||||
3.61502e6 | − | 2.91944e6i | 0.144713 | − | 0.116868i | |||||
6.75595e6 | 0.269706 | 0.134853 | − | 0.990866i | ||||||
0.134853 | + | 0.990866i | ||||||||
−3.50049e7 | − | 2.16895e7i | −1.39361 | − | 0.863502i | |||||
2.62338e7 | 1.04156 | |||||||||
−4.87555e6 | + | 3.93742e6i | −0.193045 | + | 0.155900i | |||||
4.88661e6 | + | 641450.i | 0.192955 | + | 0.0253285i | |||||
5.21391e6 | − | 2.42128e7i | 0.205317 | − | 0.953469i | |||||
− | 3.66308e6i | − | 0.143854i | |||||||
−3.48493e7 | + | 1.03156e7i | −1.36486 | + | 0.404005i | |||||
2.92608e7i | 1.14287i | 0.820647 | + | 0.571436i | ||||||
−0.820647 | + | 0.571436i | ||||||||
−3.76825e6 | + | 1.90113e6i | −0.146781 | + | 0.0740529i | |||||
−2.00161e7 | − | 2.62745e6i | −0.777554 | − | 0.102067i | |||||
9.82502e6 | + | 1.21659e7i | 0.380633 | + | 0.471322i | |||||
−2.93796e7 | −1.13512 | |||||||||
2.82940e6 | − | 7.93247e6i | 0.109022 | − | 0.305653i | |||||
−4.17554e6 | −0.160457 | |||||||||
−2.51830e7 | − | 3.11831e7i | −0.965117 | − | 1.19507i | |||||
−4.38682e6 | + | 1.64216e7i | −0.167668 | + | 0.627649i | |||||
−8.83857e6 | − | 3.38853e7i | −0.336909 | − | 1.29164i | |||||
1.00655e7i | 0.382644i | 0.981527 | + | 0.191322i | ||||||
−0.981527 | + | 0.191322i | ||||||||
−5.88423e6 | − | 9.62269e6i | −0.223091 | − | 0.364829i | |||||
6.19404e6i | 0.234207i | |||||||||
2.23086e7 | + | 4.80387e6i | 0.841266 | + | 0.181156i | |||||
5.90244e6 | − | 4.49652e7i | 0.221987 | − | 1.69111i | |||||
3.08069e7 | − | 2.48792e7i | 1.15553 | − | 0.933187i | |||||
−2.58889e7 | −0.968466 | |||||||||
−3.40823e6 | − | 1.62930e7i | −0.127157 | − | 0.607872i | |||||
4.80624e6 | 0.178837 | 0.0894183 | − | 0.995994i | ||||||
0.0894183 | + | 0.995994i | ||||||||
3.94633e6 | − | 3.18700e6i | 0.146449 | − | 0.118270i | |||||
3.77480e6 | − | 2.87567e7i | 0.139711 | − | 1.06433i | |||||
−2.24803e7 | − | 4.84084e6i | −0.829818 | − | 0.178690i | |||||
1.75486e7i | 0.646055i | 0.946390 | + | 0.323028i | ||||||
−0.946390 | + | 0.323028i | ||||||||
1.90414e7 | + | 3.11391e7i | 0.699151 | + | 1.14335i | |||||
6.64767e6i | 0.243439i | |||||||||
6.53828e6 | + | 2.95278e6i | 0.238800 | + | 0.107845i | |||||
−3.13799e6 | + | 7.60021e6i | −0.114307 | + | 0.276851i | |||||
2.64262e7 | + | 3.27225e7i | 0.960079 | + | 1.18883i | |||||
−3.50620e7 | −1.27046 | −0.635231 | − | 0.772322i | ||||||
−0.635231 | + | 0.772322i | ||||||||
1.39990e6 | − | 3.92474e6i | 0.0505913 | − | 0.141837i | |||||
2.01043e7 | 0.724643 | |||||||||
−1.06592e7 | − | 1.31988e7i | −0.383190 | − | 0.474488i | |||||
3.54919e6 | + | 465891.i | 0.127256 | + | 0.0167045i | |||||
6.77642e6 | + | 1.34316e7i | 0.242330 | + | 0.480326i | |||||
− | 5.57491e7i | − | 1.98841i | −0.107500 | − | 0.994205i | ||||
0.107500 | − | 0.994205i | ||||||||
1.22615e7 | + | 2.75822e7i | 0.436188 | + | 0.981202i | |||||
7.31499e6i | 0.259541i | |||||||||
−9.76236e6 | + | 4.53353e7i | −0.345470 | + | 1.60432i | |||||
−3.21949e7 | − | 4.22612e6i | −1.13634 | − | 0.149163i | |||||
1.03858e7 | − | 8.38742e6i | 0.365617 | − | 0.295267i | |||||
−1.80716e7 | −0.634527 | |||||||||
−1.57006e7 | + | 1.62952e7i | −0.549842 | + | 0.570667i | |||||
2.02923e7 | 0.708800 | |||||||||
5.98162e6 | − | 4.83067e6i | 0.208392 | − | 0.168294i | |||||
−1.09155e7 | − | 2.91592e6i | −0.379294 | − | 0.101323i | |||||
−6.83907e6 | + | 3.17599e7i | −0.237031 | + | 1.10074i | |||||
− | 3.41089e7i | − | 1.17910i | |||||||
1.94021e6 | − | 1.18643e6i | 0.0668968 | − | 0.0409070i | |||||
2.91267e7i | 1.00167i | 0.865542 | + | 0.500836i | ||||||
−0.865542 | + | 0.500836i | ||||||||
3.45143e6 | + | 6.84112e6i | 0.118389 | + | 0.234660i | |||||
8.87725e6 | − | 6.76276e7i | 0.303717 | − | 2.31374i | |||||
8.29634e6 | + | 1.02730e7i | 0.283111 | + | 0.350565i | |||||
1.85833e7 | 0.632522 | 0.316261 | − | 0.948672i | ||||||
0.316261 | + | 0.948672i | ||||||||
1.91127e7 | + | 2.24127e7i | 0.648868 | + | 0.760901i | |||||
2.00608e7 | 0.679308 | |||||||||
2.60230e7 | + | 3.22233e7i | 0.878943 | + | 1.08836i | |||||
892537. | − | 6.79941e6i | 0.0300687 | − | 0.229066i | |||||
−6.66053e6 | − | 3.00800e6i | −0.223813 | − | 0.101077i | |||||
− | 2.11129e7i | − | 0.707639i | −0.935314 | − | 0.353820i | ||||
0.935314 | − | 0.353820i | ||||||||
−1.17721e7 | + | 7.19856e6i | −0.393555 | + | 0.240657i | |||||
3.11495e6i | 0.103871i | |||||||||
3.32736e6 | + | 716503.i | 0.110671 | + | 0.0238316i | |||||
−2.87584e7 | − | 7.68241e6i | −0.954095 | − | 0.254874i | |||||
−3.14535e6 | + | 2.54014e6i | −0.104086 | + | 0.0840581i | |||||
3.96350e7 | 1.30826 | 0.654132 | − | 0.756380i | ||||||
0.654132 | + | 0.756380i | ||||||||
1.17757e7 | + | 3.36388e7i | 0.387702 | + | 1.10752i | |||||
2.86788e7 | 0.941825 | |||||||||
4.51255e7 | − | 3.64427e7i | 1.47819 | − | 1.19376i | |||||
1.22853e7 | + | 1.61265e6i | 0.401413 | + | 0.0526922i | |||||
3.05393e7 | + | 6.57624e6i | 0.995330 | + | 0.214331i | |||||
1.13578e7i | 0.369234i | |||||||||
8.52319e6 | + | 1.91729e7i | 0.276385 | + | 0.621726i | |||||
− | 9.73754e6i | − | 0.314967i | −0.987522 | − | 0.157484i | ||||
0.987522 | − | 0.157484i | ||||||||
4.22137e6 | + | 1.61838e7i | 0.136199 | + | 0.522159i | |||||
−1.18848e7 | − | 1.56008e6i | −0.382489 | − | 0.0502081i | |||||
−1.35209e7 | − | 1.67424e7i | −0.434050 | − | 0.537466i | |||||
5.75379e6 | 0.184245 | |||||||||
3.57721e7 | + | 1.27594e7i | 1.14260 | + | 0.407551i | |||||
−2.00990e7 | −0.640377 | −0.320188 | − | 0.947354i | ||||||
−0.320188 | + | 0.947354i | ||||||||
3.78163e7 | + | 4.68263e7i | 1.20186 | + | 1.48821i | |||||
−5.19229e6 | + | 1.25757e7i | −0.164606 | + | 0.398676i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 84.6.e.a.71.49 | yes | 60 | |
3.2 | odd | 2 | inner | 84.6.e.a.71.12 | yes | 60 | |
4.3 | odd | 2 | inner | 84.6.e.a.71.11 | ✓ | 60 | |
12.11 | even | 2 | inner | 84.6.e.a.71.50 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.6.e.a.71.11 | ✓ | 60 | 4.3 | odd | 2 | inner | |
84.6.e.a.71.12 | yes | 60 | 3.2 | odd | 2 | inner | |
84.6.e.a.71.49 | yes | 60 | 1.1 | even | 1 | trivial | |
84.6.e.a.71.50 | yes | 60 | 12.11 | even | 2 | inner |