Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [195,6,Mod(121,195)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(195, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("195.121");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 195.bb (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 166.16 | ||
Character | 195.166 | ||
Dual form | 195.6.bb.a.121.16 |
-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 .
4.51954 | − | 2.60936i | 0.798949 | − | 0.461274i | −0.0441542 | − | 0.999025i | ||
0.843104 | + | 0.537751i | ||||||||
4.50000 | + | 7.79423i | 0.288675 | + | 0.500000i | |||||
−2.38250 | + | 4.12662i | −0.0744532 | + | 0.128957i | |||||
25.0000i | 0.447214i | |||||||||
40.6759 | + | 23.4842i | 0.461274 | + | 0.266316i | |||||
51.9425 | + | 29.9890i | 0.400662 | + | 0.231322i | 0.686770 | − | 0.726875i | ||
−0.286108 | + | 0.958197i | ||||||||
191.866i | 1.05992i | |||||||||
−40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | |||||
65.2339 | + | 112.989i | 0.206288 | + | 0.357301i | |||||
144.118 | − | 83.2065i | 0.359117 | − | 0.207336i | −0.309576 | − | 0.950875i | ||
0.668693 | + | 0.743538i | ||||||||
−42.8850 | −0.0859711 | |||||||||
−603.169 | + | 86.4908i | −0.989875 | + | 0.141942i | |||||
313.008 | 0.426811 | |||||||||
−194.856 | + | 112.500i | −0.223607 | + | 0.129099i | |||||
424.407 | + | 735.095i | 0.414460 | + | 0.717866i | |||||
−192.295 | + | 333.064i | −0.161378 | + | 0.279515i | −0.935363 | − | 0.353689i | ||
0.773985 | + | 0.633204i | ||||||||
422.716i | 0.307516i | |||||||||
−1121.56 | − | 647.531i | −0.712750 | − | 0.411507i | 0.0993282 | − | 0.995055i | ||
−0.812079 | + | 0.583548i | ||||||||
−103.165 | − | 59.5626i | −0.0576712 | − | 0.0332965i | |||||
539.803i | 0.267108i | |||||||||
434.231 | − | 752.111i | 0.191278 | − | 0.331303i | |||||
−990.719 | − | 1715.97i | −0.390509 | − | 0.676381i | 0.602008 | − | 0.798490i | ||
−0.992517 | + | 0.122109i | ||||||||
−1495.45 | + | 863.398i | −0.529960 | + | 0.305973i | |||||
−625.000 | −0.200000 | |||||||||
−2500.36 | + | 1964.78i | −0.725386 | + | 0.570008i | |||||
−729.000 | −0.192450 | |||||||||
−247.506 | + | 142.898i | −0.0596611 | + | 0.0344454i | |||||
637.665 | + | 1104.47i | 0.140798 | + | 0.243870i | 0.927798 | − | 0.373084i | ||
−0.786999 | + | 0.616954i | ||||||||
−587.106 | + | 1016.90i | −0.119100 | + | 0.206288i | |||||
9337.36i | 1.74510i | 0.488527 | + | 0.872549i | ||||||
−0.488527 | + | 0.872549i | ||||||||
−1480.90 | − | 854.997i | −0.255653 | − | 0.147601i | |||||
1297.06 | + | 748.859i | 0.207336 | + | 0.119706i | |||||
2007.06i | 0.297758i | |||||||||
−749.726 | + | 1298.56i | −0.103450 | + | 0.179181i | |||||
−192.983 | − | 334.256i | −0.0248177 | − | 0.0429856i | |||||
−2352.11 | + | 1357.99i | −0.282458 | + | 0.163077i | −0.634536 | − | 0.772894i | ||
0.352078 | + | 0.935971i | ||||||||
−6758.57 | −0.759269 | |||||||||
−3388.39 | − | 4312.03i | −0.356723 | − | 0.453962i | |||||
−4796.65 | −0.474011 | |||||||||
−3703.17 | + | 2138.03i | −0.344044 | + | 0.198634i | −0.662059 | − | 0.749452i | ||
0.318015 | + | 0.948086i | ||||||||
1408.54 | + | 2439.66i | 0.123210 | + | 0.213406i | |||||
−3226.35 | + | 5588.21i | −0.266098 | + | 0.460894i | −0.967851 | − | 0.251526i | ||
0.701753 | + | 0.712420i | ||||||||
792.959i | 0.0617475i | |||||||||
−1753.70 | − | 1012.50i | −0.129099 | − | 0.0745356i | |||||
−8955.19 | − | 5170.28i | −0.623993 | − | 0.360263i | |||||
12003.9i | 0.792644i | 0.918112 | + | 0.396322i | ||||||
−0.918112 | + | 0.396322i | ||||||||
−3819.67 | + | 6615.85i | −0.239289 | + | 0.414460i | |||||
−6604.82 | − | 11439.9i | −0.392980 | − | 0.680661i | |||||
−2824.71 | + | 1630.85i | −0.159790 | + | 0.0922547i | |||||
−3461.30 | −0.186343 | |||||||||
1080.14 | − | 2695.11i | 0.0553950 | − | 0.138219i | |||||
8751.13 | 0.427932 | 0.213966 | − | 0.976841i | ||||||
0.213966 | + | 0.976841i | ||||||||
−3294.75 | + | 1902.22i | −0.153758 | + | 0.0887722i | |||||
2080.16 | + | 3602.95i | 0.0927237 | + | 0.160602i | |||||
−5753.88 | + | 9966.01i | −0.245183 | + | 0.424670i | |||||
− | 11655.6i | − | 0.475167i | |||||||
5763.91 | + | 3327.79i | 0.224982 | + | 0.129893i | |||||
11693.8 | + | 6751.41i | 0.437346 | + | 0.252502i | 0.702471 | − | 0.711712i | ||
−0.265125 | + | 0.964214i | ||||||||
− | 1072.13i | − | 0.0384475i | |||||||
−6052.99 | + | 10484.1i | −0.208279 | + | 0.360750i | −0.951172 | − | 0.308660i | ||
0.742894 | + | 0.669410i | ||||||||
24364.5 | + | 42200.6i | 0.804968 | + | 1.39424i | |||||
−4207.34 | + | 2429.11i | −0.133554 | + | 0.0771074i | |||||
−36086.0 | −1.10126 | |||||||||
−2162.27 | − | 15079.2i | −0.0634785 | − | 0.442686i | |||||
7816.16 | 0.220868 | |||||||||
30125.7 | − | 17393.1i | 0.819880 | − | 0.473358i | −0.0304952 | − | 0.999535i | ||
0.850375 | + | 0.526177i | ||||||||
−916.285 | − | 1587.05i | −0.0240302 | − | 0.0416216i | |||||
8916.47 | − | 15443.8i | 0.225460 | − | 0.390509i | |||||
7825.21i | 0.190876i | |||||||||
21774.3 | + | 12571.4i | 0.512623 | + | 0.295963i | 0.733911 | − | 0.679245i | ||
−0.221288 | + | 0.975208i | ||||||||
−13459.0 | − | 7770.58i | −0.305973 | − | 0.176653i | |||||
12638.3i | 0.277575i | 0.990322 | + | 0.138787i | ||||||
−0.990322 | + | 0.138787i | ||||||||
−7086.98 | + | 12275.0i | −0.150446 | + | 0.260581i | |||||
−2812.50 | − | 4871.39i | −0.0577350 | − | 0.100000i | |||||
5344.23 | − | 3085.49i | 0.106133 | − | 0.0612760i | |||||
9981.13 | 0.191846 | |||||||||
−26565.6 | − | 10646.9i | −0.494405 | − | 0.198146i | |||||
38441.1 | 0.692992 | 0.346496 | − | 0.938051i | ||||||
0.346496 | + | 0.938051i | ||||||||
−18377.4 | + | 10610.2i | −0.321040 | + | 0.185352i | |||||
−3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | |||||
−11157.7 | + | 19325.8i | −0.183249 | + | 0.317397i | |||||
51744.5i | 0.824459i | 0.911080 | + | 0.412230i | ||||||
−0.911080 | + | 0.412230i | ||||||||
−2227.56 | − | 1286.08i | −0.0344454 | − | 0.0198870i | |||||
−8326.60 | − | 4807.37i | −0.125003 | − | 0.0721705i | |||||
33674.8i | 0.490975i | |||||||||
−5738.99 | + | 9940.22i | −0.0812900 | + | 0.140798i | |||||
15964.5 | + | 27651.3i | 0.219760 | + | 0.380636i | |||||
2134.33 | − | 1232.26i | 0.0285618 | − | 0.0164902i | −0.485651 | − | 0.874153i | ||
0.514213 | + | 0.857663i | ||||||||
−10567.9 | −0.137525 | |||||||||
−33923.9 | − | 13595.9i | −0.429439 | − | 0.172109i | |||||
9441.56 | 0.116298 | |||||||||
−72777.5 | + | 42018.1i | −0.872549 | + | 0.503766i | |||||
31322.5 | + | 54252.1i | 0.365626 | + | 0.633282i | |||||
16188.3 | − | 28038.9i | 0.184031 | − | 0.318752i | |||||
− | 15389.9i | − | 0.170435i | |||||||
−47857.9 | − | 27630.8i | −0.516445 | − | 0.298170i | 0.219034 | − | 0.975717i | ||
−0.735479 | + | 0.677547i | ||||||||
−59701.5 | − | 34468.7i | −0.627942 | − | 0.362543i | |||||
13479.5i | 0.138224i | |||||||||
1489.06 | − | 2579.13i | 0.0148906 | − | 0.0257913i | |||||
54032.2 | + | 93586.5i | 0.527047 | + | 0.912872i | 0.999503 | + | 0.0315179i | ||
−0.472456 | + | 0.881354i | ||||||||
−15643.5 | + | 9031.78i | −0.148879 | + | 0.0859553i | |||||
189283. | 1.75800 | 0.879001 | − | 0.476821i | ||||||
0.879001 | + | 0.476821i | ||||||||
−16594.7 | − | 115728.i | −0.150447 | − | 1.04919i | |||||
−13495.1 | −0.119454 | |||||||||
39551.1 | − | 22834.8i | 0.341896 | − | 0.197394i | |||||
−4400.02 | − | 7621.05i | −0.0371531 | − | 0.0643510i | 0.846851 | − | 0.531830i | ||
−0.884004 | + | 0.467479i | ||||||||
1736.84 | − | 3008.30i | 0.0143285 | − | 0.0248177i | |||||
− | 109262.i | − | 0.880852i | −0.897789 | − | 0.440426i | ||||
0.897789 | − | 0.440426i | ||||||||
18802.8 | + | 10855.8i | 0.148163 | + | 0.0855420i | |||||
−21169.0 | − | 12221.9i | −0.163077 | − | 0.0941526i | |||||
50910.3i | 0.383495i | |||||||||
22817.2 | − | 39520.6i | 0.168100 | − | 0.291157i | −0.769652 | − | 0.638464i | ||
0.937752 | + | 0.347306i | ||||||||
−30413.5 | − | 52677.8i | −0.219182 | − | 0.379634i | |||||
42899.4 | − | 24768.0i | 0.302487 | − | 0.174641i | |||||
−6076.95 | −0.0419316 | |||||||||
18361.2 | − | 45814.0i | 0.124004 | − | 0.309409i | |||||
70467.4 | 0.465890 | |||||||||
−19976.5 | + | 11533.5i | −0.129316 | + | 0.0746607i | |||||
−21584.9 | − | 37386.2i | −0.136835 | − | 0.237005i | |||||
−66678.8 | + | 115491.i | −0.414023 | + | 0.717109i | |||||
63177.7i | 0.384294i | |||||||||
−33328.5 | − | 19242.2i | −0.198634 | − | 0.114681i | |||||
−38531.7 | − | 22246.3i | −0.225042 | − | 0.129928i | |||||
− | 15625.0i | − | 0.0894427i | |||||||
−12676.8 | + | 21956.9i | −0.0711352 | + | 0.123210i | |||||
538.345 | + | 932.441i | 0.00296177 | + | 0.00512994i | 0.867502 | − | 0.497433i | ||
−0.864541 | + | 0.502563i | ||||||||
−115704. | + | 66801.5i | −0.624197 | + | 0.360380i | |||||
−58074.4 | −0.307263 | |||||||||
−49119.5 | − | 62509.0i | −0.254915 | − | 0.324402i | |||||
−27169.4 | −0.138325 | −0.0691626 | − | 0.997605i | ||||||
−0.0691626 | + | 0.997605i | ||||||||
−6180.50 | + | 3568.32i | −0.0308737 | + | 0.0178250i | |||||
−38837.7 | − | 67268.8i | −0.190381 | − | 0.329750i | |||||
90769.6 | − | 157218.i | 0.436695 | − | 0.756378i | |||||
− | 18225.0i | − | 0.0860663i | |||||||
−63903.7 | − | 36894.8i | −0.296264 | − | 0.171048i | |||||
110342. | + | 63705.8i | 0.502271 | + | 0.289986i | 0.729651 | − | 0.683820i | ||
−0.227380 | + | 0.973806i | ||||||||
− | 93065.0i | − | 0.415996i | |||||||
133572. | − | 231353.i | 0.586378 | − | 1.01564i | −0.408324 | − | 0.912837i | ||
0.994702 | − | 0.102800i | ||||||||
−3572.45 | − | 6187.66i | −0.0154044 | − | 0.0266813i | |||||
−93561.2 | + | 54017.6i | −0.396322 | + | 0.228817i | |||||
131213. | 0.546080 | |||||||||
−79730.8 | + | 62652.4i | −0.326051 | + | 0.256211i | |||||
−68754.0 | −0.276307 | |||||||||
−27611.7 | + | 15941.6i | −0.109062 | + | 0.0629670i | |||||
32977.7 | + | 57119.1i | 0.128038 | + | 0.221768i | |||||
59443.3 | − | 102959.i | 0.226887 | − | 0.392980i | |||||
− | 12941.7i | − | 0.0485664i | |||||||
−297875. | − | 171978.i | −1.09918 | − | 0.634611i | −0.163173 | − | 0.986598i | ||
−0.936005 | + | 0.351987i | ||||||||
−25422.4 | − | 14677.6i | −0.0922547 | − | 0.0532633i | |||||
399.575i | 0.00142612i | 1.00000 | 0.000713060i | |||||||
−1.00000 | 0.000713060i | |||||||||
124239. | − | 215189.i | 0.436164 | − | 0.755459i | |||||
−15575.9 | − | 26978.2i | −0.0537927 | − | 0.0931717i | |||||
45110.1 | − | 26044.3i | 0.153275 | − | 0.0884936i | |||||
−233434. | −0.780431 | |||||||||
25866.9 | − | 3709.16i | 0.0851007 | − | 0.0122029i | |||||
354487. | 1.14776 | 0.573879 | − | 0.818940i | ||||||
0.573879 | + | 0.818940i | ||||||||
173736. | − | 100307.i | 0.553666 | − | 0.319659i | |||||
39380.1 | + | 68208.3i | 0.123533 | + | 0.213966i | |||||
21374.9 | − | 37022.4i | 0.0660092 | − | 0.114331i | |||||
− | 118843.i | − | 0.361333i | |||||||
−29652.7 | − | 17120.0i | −0.0887722 | − | 0.0512526i | |||||
294303. | + | 169916.i | 0.867611 | + | 0.500916i | 0.866554 | − | 0.499084i | ||
0.00105751 | + | 0.999999i | ||||||||
− | 20375.4i | − | 0.0591557i | |||||||
−18721.5 | + | 32426.5i | −0.0535340 | + | 0.0927237i | |||||
135020. | + | 233861.i | 0.380301 | + | 0.658701i | |||||
182387. | − | 105301.i | 0.506061 | − | 0.292175i | −0.225152 | − | 0.974324i | ||
0.731213 | + | 0.682149i | ||||||||
−103570. | −0.283113 | |||||||||
356332. | − | 104337.i | 0.959705 | − | 0.281010i | |||||
−50176.5 | −0.133161 | |||||||||
90846.1 | − | 52450.0i | 0.237583 | − | 0.137169i | |||||
−15373.6 | − | 26627.8i | −0.0396236 | − | 0.0686301i | |||||
−76009.6 | + | 131653.i | −0.193087 | + | 0.334437i | −0.946272 | − | 0.323372i | ||
0.753185 | + | 0.657809i | ||||||||
59900.3i | 0.149988i | |||||||||
−32464.1 | − | 18743.1i | −0.0801324 | − | 0.0462644i | |||||
122329. | + | 70626.9i | 0.297680 | + | 0.171865i | |||||
121525.i | 0.291564i | |||||||||
6430.79 | − | 11138.5i | 0.0152130 | − | 0.0263497i | |||||
−152608. | − | 264325.i | −0.355996 | − | 0.616603i | 0.631292 | − | 0.775545i | ||
−0.987288 | + | 0.158942i | ||||||||
8356.40 | − | 4824.57i | 0.0192237 | − | 0.0110988i | |||||
877478. | 1.99086 | 0.995428 | − | 0.0955129i | ||||||
0.995428 | + | 0.0955129i | ||||||||
−188797. | + | 27072.4i | −0.422490 | + | 0.0605826i | |||||
−108954. | −0.240500 | |||||||||
329237. | − | 190085.i | 0.716910 | − | 0.413908i | |||||
−33949.8 | − | 58802.8i | −0.0729303 | − | 0.126319i | |||||
−219281. | + | 379805.i | −0.464748 | + | 0.804968i | |||||
64000.7i | 0.133838i | |||||||||
−49535.5 | − | 28599.3i | −0.102217 | − | 0.0590149i | |||||
−37866.1 | − | 21862.0i | −0.0771074 | − | 0.0445180i | |||||
− | 168964.i | − | 0.339555i | |||||||
−67180.3 | + | 116360.i | −0.133247 | + | 0.230791i | −0.924927 | − | 0.380146i | ||
0.791679 | + | 0.610937i | ||||||||
−162387. | − | 281263.i | −0.317906 | − | 0.550629i | |||||
67321.2 | − | 38867.9i | 0.130094 | − | 0.0751100i | −0.433540 | − | 0.901134i | ||
0.563635 | + | 0.826024i | ||||||||
−288394. | −0.550152 | |||||||||
107801. | − | 84709.7i | 0.203018 | − | 0.159532i | |||||
62944.0 | 0.117034 | |||||||||
−90820.3 | + | 52435.1i | −0.166731 | + | 0.0962624i | −0.581044 | − | 0.813872i | ||
0.414312 | + | 0.910135i | ||||||||
35172.7 | + | 60921.0i | 0.0637592 | + | 0.110434i | |||||
−107055. | + | 185424.i | −0.191634 | + | 0.331920i | −0.945792 | − | 0.324773i | ||
0.754158 | + | 0.656693i | ||||||||
− | 119916.i | − | 0.211984i | |||||||
271131. | + | 156538.i | 0.473358 | + | 0.273293i | |||||
488401. | + | 281979.i | 0.842168 | + | 0.486226i | |||||
76491.8i | 0.130279i | |||||||||
8246.56 | − | 14283.5i | 0.0138739 | − | 0.0240302i | |||||
−53450.6 | − | 92579.2i | −0.0888318 | − | 0.153861i | |||||
855473. | − | 493908.i | 1.40455 | − | 0.810920i | |||||
160496. | 0.260339 | |||||||||
−319568. | − | 406679.i | −0.512159 | − | 0.651768i | |||||
−215515. | −0.341281 | |||||||||
−60991.5 | + | 35213.5i | −0.0954379 | + | 0.0551011i | |||||
616088. | + | 1.06710e6i | 0.952657 | + | 1.65005i | 0.739641 | + | 0.673001i | ||
0.213016 | + | 0.977049i | ||||||||
−20849.6 | + | 36112.5i | −0.0318609 | + | 0.0551847i | |||||
226285.i | 0.341749i | |||||||||
−39772.1 | − | 22962.4i | −0.0593669 | − | 0.0342755i | |||||
−139705. | − | 80658.8i | −0.206118 | − | 0.119002i | |||||
− | 139870.i | − | 0.203982i | |||||||
−280018. | + | 485006.i | −0.403680 | + | 0.699194i | |||||
−285104. | − | 493814.i | −0.406314 | − | 0.703756i | |||||
−98505.4 | + | 56872.1i | −0.138787 | + | 0.0801289i | |||||
−19824.0 | −0.0276143 | |||||||||
87179.1 | − | 217525.i | 0.120069 | − | 0.299591i | |||||
−127566. | −0.173720 | |||||||||
−266218. | + | 153701.i | −0.358489 | + | 0.206973i | −0.668418 | − | 0.743786i | ||
0.309929 | + | 0.950760i | ||||||||
−51281.0 | − | 88821.4i | −0.0682868 | − | 0.118276i | |||||
25312.5 | − | 43842.5i | 0.0333333 | − | 0.0577350i | |||||
− | 238153.i | − | 0.310160i | |||||||
−1.03194e6 | − | 595789.i | −1.32919 | − | 0.767411i | −0.344019 | − | 0.938963i | ||
−0.985175 | + | 0.171552i | ||||||||
48098.0 | + | 27769.4i | 0.0612760 | + | 0.0353777i | |||||
− | 298650.i | − | 0.376334i | −0.982137 | − | 0.188167i | ||||
0.982137 | − | 0.188167i | ||||||||
129257. | − | 223880.i | 0.161114 | − | 0.279058i | |||||
44915.1 | + | 77795.2i | 0.0553812 | + | 0.0959231i | |||||
−211910. | + | 122346.i | −0.258483 | + | 0.149235i | |||||
−1.07994e6 | −1.30319 | −0.651597 | − | 0.758566i | ||||||
−0.651597 | + | 0.758566i | ||||||||
−36561.0 | − | 254969.i | −0.0436495 | − | 0.304402i | |||||
−300098. | −0.354481 | |||||||||
−55721.0 | + | 32170.5i | −0.0651236 | + | 0.0375992i | |||||
172985. | + | 299619.i | 0.200050 | + | 0.346496i | |||||
−60189.8 | + | 104252.i | −0.0688780 | + | 0.119300i | |||||
1.33861e6i | 1.51586i | 0.652339 | + | 0.757928i | ||||||
−0.652339 | + | 0.757928i | ||||||||
−165396. | − | 95491.6i | −0.185352 | − | 0.107013i | |||||
919850. | + | 531076.i | 1.02017 | + | 0.588998i | 0.914154 | − | 0.405366i | ||
0.106020 | + | 0.994364i | ||||||||
695956.i | 0.763912i | |||||||||
29524.5 | − | 51137.9i | 0.0320750 | − | 0.0555556i | |||||
−28842.5 | − | 49956.7i | −0.0310141 | − | 0.0537179i | |||||
285997. | − | 165120.i | 0.304401 | − | 0.175746i | |||||
−200839. | −0.211598 | |||||||||
732494. | + | 293566.i | 0.763944 | + | 0.306171i | |||||
−1.79152e6 | −1.84966 | |||||||||
−403309. | + | 232850.i | −0.412230 | + | 0.238001i | |||||
−40771.2 | − | 70617.8i | −0.0412576 | − | 0.0714602i | |||||
−588083. | + | 1.01859e6i | −0.589189 | + | 1.02050i | 0.405150 | + | 0.914250i | ||
−0.994339 | + | 0.106255i | ||||||||
− | 23149.5i | − | 0.0229636i | |||||||
−285561. | − | 164868.i | −0.280477 | − | 0.161933i | |||||
4866.15 | + | 2809.47i | 0.00473261 | + | 0.00273237i | |||||
− | 86532.6i | − | 0.0833353i | |||||||
228759. | − | 396221.i | 0.218161 | − | 0.377866i | |||||
486030. | + | 841828.i | 0.459018 | + | 0.795043i | 0.998909 | − | 0.0466919i | ||
−0.539891 | + | 0.841735i | ||||||||
−262469. | + | 151537.i | −0.245488 | + | 0.141732i | |||||
−162899. | −0.150893 | |||||||||
67377.7 | + | 27003.4i | 0.0618135 | + | 0.0247734i | |||||
−103302. | −0.0938656 | |||||||||
−122793. | + | 70894.7i | −0.110515 | + | 0.0638058i | |||||
−403494. | − | 698872.i | −0.359706 | − | 0.623029i | 0.628206 | − | 0.778047i | ||
−0.987912 | + | 0.155018i | ||||||||
−143681. | + | 248862.i | −0.126879 | + | 0.219760i | |||||
218778.i | 0.191377i | |||||||||
−351057. | − | 202683.i | −0.304210 | − | 0.175636i | |||||
19209.0 | + | 11090.3i | 0.0164902 | + | 0.00952062i | |||||
165756.i | 0.140972i | |||||||||
−895225. | + | 1.55057e6i | −0.754313 | + | 1.30651i | 0.191403 | + | 0.981512i | ||
−0.945715 | + | 0.324996i | ||||||||
−47555.5 | − | 82368.6i | −0.0397001 | − | 0.0687626i | |||||
1.06468e6 | − | 614693.i | 0.880635 | − | 0.508435i | 0.00976724 | − | 0.999952i | ||
0.870868 | + | 0.491517i | ||||||||
−326445. | −0.267539 | |||||||||
−46688.0 | − | 325592.i | −0.0379139 | − | 0.264403i | |||||
664925. | 0.535053 | |||||||||
−90073.7 | + | 52004.1i | −0.0718235 | + | 0.0414673i | |||||
42487.0 | + | 73589.7i | 0.0335725 | + | 0.0581492i | |||||
−713522. | + | 1.23586e6i | −0.558737 | + | 0.967761i | 0.438865 | + | 0.898553i | ||
−0.997602 | + | 0.0692084i | ||||||||
− | 1.39415e6i | − | 1.08192i | |||||||
−654997. | − | 378163.i | −0.503766 | − | 0.290850i | |||||
−249150. | − | 143847.i | −0.189918 | − | 0.109649i | |||||
1.36246e6i | 1.02934i | 0.857389 | + | 0.514668i | ||||||
−0.857389 | + | 0.514668i | ||||||||
−281902. | + | 488269.i | −0.211094 | + | 0.365626i | |||||
−458620. | − | 794353.i | −0.340398 | − | 0.589587i | 0.644109 | − | 0.764934i | ||
−0.984507 | + | 0.175347i | ||||||||
−103755. | + | 59902.7i | −0.0763328 | + | 0.0440708i | |||||
291389. | 0.212501 | |||||||||
−196864. | + | 491206.i | −0.142315 | + | 0.355099i | |||||
−256469. | −0.183794 | |||||||||
119953. | − | 69254.7i | 0.0852175 | − | 0.0492004i | |||||
635974. | + | 1.10154e6i | 0.447914 | + | 0.775810i | |||||
−83194.8 | + | 144098.i | −0.0580900 | + | 0.100615i | |||||
− | 497354.i | − | 0.344297i | |||||||
−52153.2 | − | 30110.7i | −0.0357951 | − | 0.0206663i | |||||
31692.1 | + | 18297.5i | 0.0215666 | + | 0.0124515i | 0.510745 | − | 0.859733i | ||
−0.489178 | + | 0.872184i | ||||||||
− | 620436.i | − | 0.418628i | |||||||
−168785. | + | 292345.i | −0.112922 | + | 0.195587i | |||||
−260553. | − | 451290.i | −0.172849 | − | 0.299383i | |||||
−105062. | + | 60657.6i | −0.0691122 | + | 0.0399019i | |||||
−1.79501e6 | −1.17092 | |||||||||
745986. | + | 949334.i | 0.482562 | + | 0.614103i | |||||
26803.2 | 0.0171942 | |||||||||
−335170. | + | 193510.i | −0.213230 | + | 0.123109i | |||||
1042.64 | + | 1805.90i | 0.000657832 | + | 0.00113940i | |||||
−486290. | + | 842279.i | −0.304291 | + | 0.527047i | |||||
− | 1.09927e6i | − | 0.682213i | |||||||
−262102. | − | 151325.i | −0.161332 | − | 0.0931452i | |||||
−140791. | − | 81286.0i | −0.0859553 | − | 0.0496263i | |||||
2.09577e6i | 1.26910i | 0.772880 | + | 0.634552i | ||||||
−0.772880 | + | 0.634552i | ||||||||
−23780.1 | + | 41188.3i | −0.0142836 | + | 0.0247398i | |||||
851775. | + | 1.47532e6i | 0.507491 | + | 0.879001i | |||||
−1.05501e6 | + | 609113.i | −0.623525 | + | 0.359992i | |||||
729836. | 0.427882 | 0.213941 | − | 0.976847i | ||||||
0.213941 | + | 0.976847i | ||||||||
827332. | − | 650117.i | 0.481164 | − | 0.378098i | |||||
−2.02399e6 | −1.16775 | −0.583873 | − | 0.811845i | ||||||
−0.583873 | + | 0.811845i | ||||||||
1.60212e6 | − | 924982.i | 0.917001 | − | 0.529431i | |||||
−60727.8 | − | 105184.i | −0.0344835 | − | 0.0597271i | |||||
−91586.0 | + | 158632.i | −0.0515955 | + | 0.0893660i | |||||
− | 170968.i | − | 0.0955578i | −0.998858 | − | 0.0477789i | ||||
0.998858 | − | 0.0477789i | ||||||||
355960. | + | 205513.i | 0.197394 | + | 0.113965i | |||||
183798. | + | 106116.i | 0.101126 | + | 0.0583853i | |||||
− | 902151.i | − | 0.492498i | |||||||
39600.1 | − | 68589.5i | 0.0214503 | − | 0.0371531i | |||||
−310103. | − | 537115.i | −0.166674 | − | 0.288687i | |||||
431339. | − | 249034.i | 0.230045 | − | 0.132816i | |||||
31263.2 | 0.0165452 | |||||||||
376980. | − | 54056.8i | 0.197975 | − | 0.0283884i | |||||
1.77348e6 | 0.924237 | |||||||||
851613. | − | 491679.i | 0.440426 | − | 0.254280i | |||||
−410215. | − | 710513.i | −0.210536 | − | 0.364659i | |||||
−359986. | + | 623513.i | −0.183356 | + | 0.317582i | |||||
195404.i | 0.0987754i | |||||||||
1.32868e6 | + | 767114.i | 0.666578 | + | 0.384849i | 0.794779 | − | 0.606899i | ||
−0.128201 | + | 0.991748i | ||||||||
−213530. | − | 123281.i | −0.106320 | − | 0.0613836i | |||||
− | 219995.i | − | 0.108718i | |||||||
549537. | − | 951826.i | 0.269545 | − | 0.466865i | |||||
434827. | + | 753143.i | 0.211692 | + | 0.366661i | |||||
−396806. | + | 229096.i | −0.191748 | + | 0.110706i | |||||
31943.4 | 0.0153217 | 0.00766083 | − | 0.999971i | ||||||
0.00766083 | + | 0.999971i | ||||||||
1.33820e6 | − | 1.40135e6i | 0.637133 | − | 0.667199i | |||||
410710. | 0.194105 | |||||||||
39676.3 | − | 22907.1i | 0.0186137 | − | 0.0107467i | |||||
776929. | + | 1.34568e6i | 0.361822 | + | 0.626695i | |||||
273722. | − | 474100.i | 0.126545 | − | 0.219182i | |||||
− | 1.80034e6i | − | 0.826264i | |||||||
−1.07219e6 | − | 619028.i | −0.488511 | − | 0.282042i | |||||
386094. | + | 222912.i | 0.174641 | + | 0.100829i | |||||
793345.i | 0.356264i | |||||||||
1.41178e6 | − | 2.44528e6i | 0.629424 | − | 1.09019i | −0.358243 | − | 0.933628i | ||
0.987667 | − | 0.156567i | ||||||||
−27346.3 | − | 47365.2i | −0.0121046 | − | 0.0209658i | |||||
850966. | − | 491306.i | 0.373980 | − | 0.215918i | −0.301216 | − | 0.953556i | ||
0.675196 | + | 0.737638i | ||||||||
−195630. | −0.0853623 | |||||||||
439710. | − | 63051.8i | 0.190502 | − | 0.0273168i | |||||
−284565. | −0.122412 | |||||||||
2.11683e6 | − | 1.22215e6i | 0.904168 | − | 0.522022i | 0.0256180 | − | 0.999672i | ||
0.878550 | + | 0.477650i | ||||||||
317103. | + | 549239.i | 0.134491 | + | 0.232945i | |||||
−314285. | + | 544357.i | −0.132359 | + | 0.229252i | |||||
11743.4i | 0.00491099i | |||||||||
−179789. | − | 103801.i | −0.0746607 | − | 0.0431054i | |||||
−1.37944e6 | − | 796418.i | −0.568846 | − | 0.328423i | |||||
3.34651e6i | 1.37043i | 0.728342 | + | 0.685214i | ||||||
−0.728342 | + | 0.685214i | ||||||||
194264. | − | 336476.i | 0.0790018 | − | 0.136835i | |||||
−399456. | − | 691877.i | −0.161325 | − | 0.279422i | |||||
3.96580e6 | − | 2.28965e6i | 1.59059 | − | 0.918330i | |||||
−1.20022e6 | −0.478073 | |||||||||
136929. | − | 107599.i | 0.0541678 | − | 0.0425650i | |||||
−315956. | −0.124135 | |||||||||
−492421. | + | 284299.i | −0.192147 | + | 0.110936i | |||||
−60415.6 | − | 104643.i | −0.0234144 | − | 0.0405550i | 0.854081 | − | 0.520140i | ||
−0.877495 | + | 0.479585i | ||||||||
840936. | − | 1.45654e6i | 0.323701 | − | 0.560666i | |||||
− | 346360.i | − | 0.132423i | |||||||
−306875. | − | 177174.i | −0.116535 | − | 0.0672817i | |||||
454556. | + | 262438.i | 0.171456 | + | 0.0989901i | |||||
− | 400433.i | − | 0.150028i | |||||||
2.36847e6 | − | 4.10230e6i | 0.881445 | − | 1.52671i | 0.0317096 | − | 0.999497i | ||
0.849735 | − | 0.527210i | ||||||||
167001. | + | 289254.i | 0.0617361 | + | 0.106930i | |||||
121785. | − | 70312.5i | 0.0447214 | − | 0.0258199i | |||||
−2.30314e6 | −0.840139 | |||||||||
−480146. | − | 611028.i | −0.173988 | − | 0.221416i | |||||
−228183. | −0.0821399 | |||||||||
3.14885e6 | − | 1.81799e6i | 1.12604 | − | 0.650119i | 0.183104 | − | 0.983094i | ||
0.942936 | + | 0.332974i | ||||||||
77137.3 | + | 133606.i | 0.0274034 | + | 0.0474642i | |||||
−4845.11 | + | 8391.97i | −0.00170998 | + | 0.00296177i | |||||
701190.i | 0.245854i | |||||||||
−2.49640e6 | − | 1.44130e6i | −0.869596 | − | 0.502061i | −0.00238185 | − | 0.999997i | ||
−0.867214 | + | 0.497936i | ||||||||
−1.04133e6 | − | 601213.i | −0.360380 | − | 0.208066i | |||||
249528.i | 0.0857962i | |||||||||
202841. | − | 351330.i | 0.0692926 | − | 0.120018i | |||||
−261335. | − | 452645.i | −0.0886992 | − | 0.153631i | |||||
228043. | − | 131661.i | 0.0769020 | − | 0.0443994i | |||||
1.85772e6 | 0.622452 | 0.311226 | − | 0.950336i | ||||||
0.311226 | + | 0.950336i | ||||||||
266171. | − | 664139.i | 0.0886135 | − | 0.221105i | |||||
762039. | 0.252078 | |||||||||
2.19492e6 | − | 1.26724e6i | 0.721447 | − | 0.416528i | |||||
−122262. | − | 211764.i | −0.0399311 | − | 0.0691626i | |||||
−273644. | + | 473965.i | −0.0888066 | + | 0.153818i | |||||
961028.i | 0.309915i | |||||||||
−55624.5 | − | 32114.8i | −0.0178250 | − | 0.0102912i | |||||
−922605. | − | 532666.i | −0.293792 | − | 0.169621i | 0.345859 | − | 0.938287i | ||
−0.639651 | + | 0.768666i | ||||||||
1.11738e6i | 0.353584i | |||||||||
349539. | − | 605420.i | 0.109917 | − | 0.190381i | |||||
−265255. | − | 459434.i | −0.0828920 | − | 0.143573i | |||||
1.68649e6 | − | 973694.i | 0.523748 | − | 0.302386i | −0.214719 | − | 0.976676i | ||
0.738467 | + | 0.674290i | ||||||||
1.63385e6 | 0.504252 | |||||||||
−807596. | − | 5.63200e6i | −0.247703 | − | 1.72743i | |||||
−514927. | −0.156961 | |||||||||
142050. | − | 82012.5i | 0.0430331 | − | 0.0248452i | |||||
199595. | + | 345708.i | 0.0600944 | + | 0.104086i | |||||
−225988. | + | 391422.i | −0.0676237 | + | 0.117128i | |||||
− | 664107.i | − | 0.197509i | |||||||
−2.09310e6 | − | 1.20845e6i | −0.618704 | − | 0.357209i | 0.157660 | − | 0.987493i | ||
−0.776364 | + | 0.630285i | ||||||||
−483145. | − | 278944.i | −0.141944 | − | 0.0819515i | |||||
1.14670e6i | 0.334848i | |||||||||
−450968. | + | 781099.i | −0.130889 | + | 0.226706i | |||||
404937. | + | 701371.i | 0.116819 | + | 0.202336i | |||||
725370. | − | 418793.i | 0.207998 | − | 0.120088i | |||||
−1.29361e6 | −0.368709 | |||||||||
967180. | + | 387623.i | 0.274015 | + | 0.109819i | |||||
2.40429e6 | 0.677091 | |||||||||
−974030. | + | 562357.i | −0.272667 | + | 0.157424i | |||||
1.71640e6 | + | 2.97289e6i | 0.477621 | + | 0.827265i | 0.999671 | − | 0.0256506i | ||
−0.522050 | + | 0.852915i | ||||||||
32152.0 | − | 55688.9i | 0.00889375 | − | 0.0154044i | |||||
− | 6.32471e6i | − | 1.73914i | −0.493806 | − | 0.869572i | ||||
0.493806 | − | 0.869572i | ||||||||
5.56887e6 | + | 3.21519e6i | 1.52225 | + | 0.878871i | |||||
−842051. | − | 486158.i | −0.228817 | − | 0.132107i | |||||
1.67904e6i | 0.453574i | |||||||||
120184. | − | 208165.i | 0.0322756 | − | 0.0559030i | |||||
590458. | + | 1.02270e6i | 0.157640 | + | 0.273040i | |||||
−628815. | + | 363047.i | −0.166899 | + | 0.0963591i | |||||
41932.2 | 0.0110647 | |||||||||
−847116. | − | 339504.i | −0.222228 | − | 0.0890639i | |||||
−841871. | −0.219571 | |||||||||
3.52739e6 | − | 2.03654e6i | 0.914662 | − | 0.528080i | 0.0327339 | − | 0.999464i | ||
0.881928 | + | 0.471384i | ||||||||
−309393. | − | 535884.i | −0.0797629 | − | 0.138153i | |||||
−1.18073e6 | + | 2.04508e6i | −0.302643 | + | 0.524193i | −0.976734 | − | 0.214455i | ||
0.674091 | + | 0.738649i | ||||||||
2.92267e6i | 0.744828i | |||||||||
−248505. | − | 143475.i | −0.0629670 | − | 0.0363540i | |||||
450882. | + | 260317.i | 0.113592 | + | 0.0655822i | |||||
2.56609e6i | 0.642788i | |||||||||
−296800. | + | 514072.i | −0.0739227 | + | 0.128038i | |||||
−495600. | − | 858404.i | −0.122735 | − | 0.212584i | 0.798110 | − | 0.602512i | ||
−0.920845 | + | 0.389928i | ||||||||
−691284. | + | 399113.i | −0.170226 | + | 0.0982797i | |||||
1.06998e6 | 0.261987 | |||||||||
−173592. | − | 1.21060e6i | −0.0422644 | − | 0.294743i | |||||
−7.82126e6 | −1.89351 | −0.946754 | − | 0.321958i | ||||||
−0.946754 | + | 0.321958i | ||||||||
100870. | − | 58237.6i | 0.0242832 | − | 0.0140199i | |||||
30806.4 | + | 53358.2i | 0.00737464 | + | 0.0127732i | |||||
−802122. | + | 1.38932e6i | −0.190943 | + | 0.330723i | |||||
− | 3.09560e6i | − | 0.732785i | |||||||
−1.87440e6 | − | 1.08219e6i | −0.441232 | − | 0.254746i | |||||
6.07750e6 | + | 3.50884e6i | 1.42269 | + | 0.821388i | 0.996528 | − | 0.0832613i | ||
0.426157 | + | 0.904649i | ||||||||
− | 264197.i | − | 0.0615032i | |||||||
−355795. | + | 616256.i | −0.0823681 | + | 0.142666i | |||||
108724. | + | 188316.i | 0.0250311 | + | 0.0433552i | |||||
−3114.38 | + | 1798.09i | −0.000713060 | + | 0.000411686i | |||||
−6.21851e6 | −1.41595 | |||||||||
339897. | − | 848097.i | 0.0769696 | − | 0.192051i | |||||
2.23631e6 | 0.503639 | |||||||||
−5.51398e6 | + | 3.18350e6i | −1.23502 | + | 0.713041i | −0.968073 | − | 0.250669i | ||
−0.266950 | + | 0.963710i | ||||||||
−779284. | − | 1.34976e6i | −0.173593 | − | 0.300672i | |||||
140183. | − | 242804.i | 0.0310572 | − | 0.0537927i | |||||
236039.i | 0.0520103i | |||||||||
−1.20272e6 | − | 694388.i | −0.263579 | − | 0.152177i | 0.362387 | − | 0.932028i | ||
−0.625966 | + | 0.779850i | ||||||||
405991. | + | 234399.i | 0.0884936 | + | 0.0510918i | |||||
− | 799163.i | − | 0.173254i | −0.996241 | − | 0.0866269i | ||||
0.996241 | − | 0.0866269i | ||||||||
−541259. | + | 937489.i | −0.116711 | + | 0.202149i | |||||
−1.05045e6 | − | 1.81944e6i | −0.225291 | − | 0.390216i | |||||
−4.88082e6 | + | 2.81794e6i | −1.04119 | + | 0.601129i | |||||
−5.06728e6 | −1.07518 | −0.537592 | − | 0.843205i | ||||||
−0.537592 | + | 0.843205i | ||||||||
145311. | + | 184921.i | 0.0306679 | + | 0.0390277i | |||||
2.08641e6 | 0.437993 | |||||||||
−1.35630e6 | + | 783062.i | −0.283212 | + | 0.163513i | |||||
1.59519e6 | + | 2.76295e6i | 0.331329 | + | 0.573879i | |||||
−1.29537e6 | + | 2.24364e6i | −0.267632 | + | 0.463552i | |||||
1.07381e6i | 0.220687i | |||||||||
1.56363e6 | + | 902760.i | 0.319659 | + | 0.184555i | |||||
700973. | + | 404707.i | 0.142550 | + | 0.0823013i | |||||
− | 109914.i | − | 0.0222349i | |||||||
−354421. | + | 613875.i | −0.0713219 | + | 0.123533i | |||||
3.49290e6 | + | 6.04988e6i | 0.699224 | + | 1.21109i | |||||
−2.79367e6 | + | 1.61292e6i | −0.556334 | + | 0.321200i | −0.751673 | − | 0.659536i | ||
0.195339 | + | 0.980736i | ||||||||
384749. | 0.0762209 | |||||||||
1.30127e6 | − | 1.02253e6i | 0.256450 | − | 0.201519i | |||||
5.54307e6 | 1.08676 | |||||||||
926288. | − | 534792.i | 0.180667 | − | 0.104308i | |||||
−317725. | − | 550316.i | −0.0616507 | − | 0.106782i | |||||
690770. | − | 1.19645e6i | 0.133346 | − | 0.230961i | |||||
− | 308160.i | − | 0.0591814i | |||||||
−4.20416e6 | − | 2.42727e6i | −0.803261 | − | 0.463763i | 0.0413489 | − | 0.999145i | ||
−0.844610 | + | 0.535382i | ||||||||
−2.01154e6 | − | 1.16136e6i | −0.382366 | − | 0.220759i | |||||
3.05848e6i | 0.578407i | |||||||||
861716. | − | 1.49254e6i | 0.162134 | − | 0.280824i | |||||
−2.82546e6 | − | 4.89385e6i | −0.528915 | − | 0.916108i | −0.999431 | − | 0.0337164i | ||
0.470516 | − | 0.882391i | ||||||||
158811. | − | 91689.3i | 0.0295779 | − | 0.0170768i | |||||
−490478. | −0.0908871 | |||||||||
4.07655e6 | − | 584554.i | 0.751581 | − | 0.107772i | |||||
−336986. | −0.0618158 | |||||||||
−6.86384e6 | + | 3.96284e6i | −1.25275 | + | 0.723274i | |||||
754007. | + | 1.30598e6i | 0.136926 | + | 0.237162i | |||||
−1.21518e6 | + | 2.10475e6i | −0.219567 | + | 0.380301i | |||||
− | 1.00718e7i | − | 1.81074i | −0.424623 | − | 0.905370i | ||||
0.424623 | − | 0.905370i | ||||||||
64478.4 | + | 37226.6i | 0.0115342 | + | 0.00665930i | |||||
1.64148e6 | + | 947711.i | 0.292175 | + | 0.168687i | |||||
6.13808e6i | 1.08711i | |||||||||
1.50537e6 | − | 2.60738e6i | 0.265292 | − | 0.459499i | −0.702348 | − | 0.711834i | ||
0.967640 | + | 0.252335i | ||||||||
−466064. | − | 807247.i | −0.0817277 | − | 0.141557i | |||||
−2.33966e6 | + | 1.35081e6i | −0.408249 | + | 0.235703i | |||||
−1.72080e6 | −0.298782 | |||||||||
2.41672e6 | + | 2.30781e6i | 0.417548 | + | 0.398732i | |||||
−5130.43 | −0.000882053 | |||||||||
−8.43937e6 | + | 4.87247e6i | −1.44383 | + | 0.833595i | −0.998102 | − | 0.0615747i | ||
−0.445726 | + | 0.895169i | ||||||||
−225794. | − | 391087.i | −0.0384404 | − | 0.0665807i | |||||
−379009. | + | 656463.i | −0.0642092 | + | 0.111214i | |||||
− | 6.66295e6i | − | 1.12329i | |||||||
817615. | + | 472050.i | 0.137169 | + | 0.0791945i | |||||
4.39326e6 | + | 2.53645e6i | 0.733465 | + | 0.423466i | |||||
4.73208e6i | 0.786202i | |||||||||
138362. | − | 239651.i | 0.0228767 | − | 0.0396236i | |||||
998804. | + | 1.72998e6i | 0.164344 | + | 0.284652i | |||||
−736231. | + | 425063.i | −0.120556 | + | 0.0696032i | |||||
−1.36817e6 | −0.222958 | |||||||||
2.89319e6 | − | 414866.i | 0.469211 | − | 0.0672822i | |||||
134535. | 0.0217140 | 0.0108570 | − | 0.999941i | ||||||
0.0108570 | + | 0.999941i | ||||||||
−466876. | + | 269551.i | −0.0749939 | + | 0.0432977i | |||||
927891. | + | 1.60716e6i | 0.148335 | + | 0.256923i | 0.930612 | − | 0.366007i | ||
−0.782277 | + | 0.622930i | ||||||||
64731.1 | − | 112118.i | 0.0102988 | − | 0.0178380i | |||||
− | 337377.i | − | 0.0534216i | |||||||
−3.64721e6 | − | 2.10572e6i | −0.574774 | − | 0.331846i | |||||
−3.10994e6 | − | 1.79552e6i | −0.487781 | − | 0.281621i | |||||
1.27128e6i | 0.198453i | |||||||||
1.25513e6 | − | 2.17394e6i | 0.195006 | − | 0.337760i | |||||
570871. | + | 988777.i | 0.0882771 | + | 0.152900i | |||||
−947197. | + | 546865.i | −0.145782 | + | 0.0841673i | |||||
370123. | 0.0566980 | |||||||||
2.04872e6 | − | 1.60988e6i | 0.312366 | − | 0.245457i | |||||
115754. | 0.0175664 | |||||||||
190526. | − | 110000.i | 0.0287786 | − | 0.0166154i | |||||
3.33714e6 | + | 5.78010e6i | 0.501722 | + | 0.869008i | |||||
1.37347e6 | − | 2.37893e6i | 0.205534 | − | 0.355996i | |||||
9.34385e6i | 1.39178i | |||||||||
−1.90374e6 | − | 1.09913e6i | −0.282252 | − | 0.162958i | |||||
75207.6 | + | 43421.1i | 0.0110988 | + | 0.00640791i | |||||
7.51174e6i | 1.10344i | 0.834031 | + | 0.551718i | ||||||
−0.834031 | + | 0.551718i | ||||||||
3.20791e6 | − | 5.55626e6i | 0.469055 | − | 0.812427i | |||||
3.94865e6 | + | 6.83927e6i | 0.574711 | + | 0.995428i | |||||
569537. | − | 328823.i | 0.0825135 | − | 0.0476392i | |||||
2.73155e6 | 0.393929 | |||||||||
−1.06059e6 | − | 1.34970e6i | −0.152254 | − | 0.193756i | |||||
−1.27898e7 | −1.82766 | −0.913829 | − | 0.406099i | ||||||
−0.913829 | + | 0.406099i | ||||||||
−525779. | + | 303559.i | −0.0747914 | + | 0.0431808i | |||||
−490292. | − | 849211.i | −0.0694263 | − | 0.120250i | |||||
−271395. | + | 470069.i | −0.0382555 | + | 0.0662605i | |||||
− | 1.65163e6i | − | 0.231758i | |||||||
2.96314e6 | + | 1.71077e6i | 0.413908 | + | 0.238970i | |||||
1.99673e6 | + | 1.15281e6i | 0.277655 | + | 0.160304i | |||||
7.44733e6i | 1.03092i | |||||||||
305548. | − | 529225.i | 0.0421063 | − | 0.0729303i | |||||
636470. | + | 1.10240e6i | 0.0873155 | + | 0.151235i | |||||
3.85138e6 | − | 2.22360e6i | 0.525991 | − | 0.303681i | −0.213391 | − | 0.976967i | ||
0.739383 | + | 0.673286i | ||||||||
−3.94705e6 | −0.536645 | |||||||||
1.46271e6 | − | 3.64968e6i | 0.197983 | − | 0.493998i | |||||
−1.27276e6 | −0.171504 | |||||||||
−498836. | + | 288003.i | −0.0669192 | + | 0.0386358i | |||||
3.55514e6 | + | 6.15769e6i | 0.474806 | + | 0.822388i | |||||
3.75805e6 | − | 6.50913e6i | 0.499679 | − | 0.865470i | −0.500321 | − | 0.865840i | ||
1.00000 | 0.000370381i | |||||||||
− | 514788.i | − | 0.0681445i | |||||||
988015. | + | 570431.i | 0.130209 | + | 0.0751765i | |||||
−4.14550e6 | − | 2.39341e6i | −0.543922 | − | 0.314033i | |||||
− | 393516.i | − | 0.0514049i | |||||||
−2.41202e6 | + | 4.17775e6i | −0.313697 | + | 0.543339i | |||||
−7.19533e6 | − | 1.24627e7i | −0.931688 | − | 1.61373i | −0.780437 | − | 0.625235i | ||
−0.151251 | − | 0.988495i | ||||||||
1.31695e6 | − | 760339.i | 0.169778 | − | 0.0980212i | |||||
3.62318e6 | 0.465050 | 0.232525 | − | 0.972590i | ||||||
0.232525 | + | 0.972590i | ||||||||
−68583.7 | − | 478288.i | −0.00876457 | − | 0.0611223i | |||||
−1.20925e6 | −0.153861 | |||||||||
−1.15912e6 | + | 669220.i | −0.146842 | + | 0.0847792i | |||||
619199. | + | 1.07248e6i | 0.0781017 | + | 0.135276i | |||||
1.46148e6 | − | 2.53137e6i | 0.183543 | − | 0.317906i | |||||
− | 3.39602e6i | − | 0.424649i | −0.977199 | − | 0.212325i | ||||
0.977199 | − | 0.212325i | ||||||||
5.74862e6 | + | 3.31897e6i | 0.715722 | + | 0.413222i | |||||
605891. | + | 349811.i | 0.0751100 | + | 0.0433648i | |||||
− | 151924.i | − | 0.0187524i | |||||||
−1.55177e6 | + | 2.68774e6i | −0.190716 | + | 0.330329i | |||||
−1.29777e6 | − | 2.24781e6i | −0.158815 | − | 0.275076i | |||||
1.26119e6 | − | 728151.i | 0.153678 | − | 0.0887258i | |||||
−2.42485e6 | −0.294207 | |||||||||
1.14535e6 | + | 459029.i | 0.138372 | + | 0.0554563i | |||||
190978. | 0.0229742 | |||||||||
−8.17357e6 | + | 4.71901e6i | −0.979076 | + | 0.565270i | −0.901991 | − | 0.431755i | ||
−0.0770848 | + | 0.997025i | ||||||||
283248. | + | 490600.i | 0.0337849 | + | 0.0585172i | |||||
6.04623e6 | − | 1.04724e7i | 0.718119 | − | 1.24382i | |||||
1.76169e6i | 0.208352i | |||||||||
−817383. | − | 471916.i | −0.0962624 | − | 0.0555771i | |||||
−1.99651e6 | − | 1.15268e6i | −0.234135 | − | 0.135178i | |||||
− | 7.96111e6i | − | 0.929688i | −0.885393 | − | 0.464844i | ||||
0.885393 | − | 0.464844i | ||||||||
−316555. | + | 548289.i | −0.0368114 | + | 0.0637592i | |||||
−288336. | − | 499413.i | −0.0333893 | − | 0.0578319i | |||||
1.41937e6 | − | 819476.i | 0.163675 | − | 0.0944976i | |||||
−1.92699e6 | −0.221280 | |||||||||
5.84867e6 | + | 2.34401e6i | 0.668812 | + | 0.268044i | |||||
−1.15336e7 | −1.31341 | −0.656703 | − | 0.754149i | ||||||
−0.656703 | + | 0.754149i | ||||||||
934655. | − | 539623.i | 0.105992 | − | 0.0611945i | |||||
−302621. | − | 524156.i | −0.0341754 | − | 0.0591935i | 0.848432 | − | 0.529305i | ||
−0.882607 | + | 0.470111i | ||||||||
−1.00988e6 | + | 1.74916e6i | −0.113573 | + | 0.196715i | |||||
2.81768e6i | 0.315572i | |||||||||
−1648.89 | − | 951.989i | −0.000183908 | − | 0.000106179i | |||||
−2.88728e6 | − | 1.66697e6i | −0.320701 | − | 0.185157i | |||||
5.07562e6i | 0.561445i | |||||||||
537341. | − | 930702.i | 0.0591941 | − | 0.102527i | −0.834910 | − | 0.550387i | ||
0.894104 | + | 0.447860i | ||||||||
1.10727e6 | + | 1.91786e6i | 0.121478 | + | 0.210405i | |||||
−596195. | + | 344213.i | −0.0651396 | + | 0.0376084i | |||||
−1.57944e6 | −0.171862 | |||||||||
−1.03823e6 | − | 7.24038e6i | −0.112510 | − | 0.784618i | |||||
148438. | 0.0160202 | |||||||||
4.71726e6 | − | 2.72351e6i | 0.507036 | − | 0.292737i | −0.224579 | − | 0.974456i | ||
0.731614 | + | 0.681719i | ||||||||
5.46861e6 | + | 9.47190e6i | 0.585404 | + | 1.01395i | |||||
481056. | − | 833213.i | 0.0512870 | − | 0.0888318i | |||||
1.91504e6i | 0.203342i | |||||||||
−5.81016e6 | − | 3.35450e6i | −0.614434 | − | 0.354744i | 0.160265 | − | 0.987074i | ||
−0.774699 | + | 0.632330i | ||||||||
7.69926e6 | + | 4.44517e6i | 0.810920 | + | 0.468185i | |||||
− | 4.89152e6i | − | 0.513118i | −0.966529 | − | 0.256559i | ||||
0.966529 | − | 0.256559i | ||||||||
556157. | − | 963292.i | 0.0581056 | − | 0.100642i | |||||
722234. | + | 1.25095e6i | 0.0751534 | + | 0.130170i | |||||
3.29852e6 | − | 1.90440e6i | 0.341856 | − | 0.197371i | |||||
147817. | 0.0152582 | |||||||||
1.73169e6 | − | 4.32084e6i | 0.178037 | − | 0.444229i | |||||
390625. | 0.0400000 | |||||||||
−9.14753e6 | + | 5.28133e6i | −0.932970 | + | 0.538651i | |||||
−969819. | − | 1.67978e6i | −0.0985194 | − | 0.170641i | |||||
−844565. | + | 1.46283e6i | −0.0854543 | + | 0.148011i | |||||
− | 1.04454e6i | − | 0.105268i | |||||||
−548923. | − | 316921.i | −0.0551011 | − | 0.0318126i | |||||
−4.34348e6 | − | 2.50771e6i | −0.434275 | − | 0.250729i | 0.266891 | − | 0.963727i | ||
−0.701166 | + | 0.712998i | ||||||||
7.37555e6i | 0.734516i | |||||||||
−5.54479e6 | + | 9.60386e6i | −0.550017 | + | 0.952657i | |||||
−446116. | − | 772696.i | −0.0440783 | − | 0.0763459i | |||||
−23311.0 | + | 13458.6i | −0.00229418 | + | 0.00132454i | |||||
−375293. | −0.0367898 | |||||||||
4.97326e6 | + | 6.32892e6i | 0.485616 | + | 0.617989i | |||||
1.10758e6 | 0.107726 | |||||||||
−1.76372e6 | + | 1.01828e6i | −0.170874 | + | 0.0986543i | |||||
−1.67004e6 | − | 2.89259e6i | −0.161167 | − | 0.279150i | |||||
2.33486e6 | − | 4.04409e6i | 0.224448 | − | 0.388755i | −0.731706 | − | 0.681620i | ||
0.956154 | + | 0.292866i | ||||||||
− | 413324.i | − | 0.0395779i | |||||||
1.25679e7 | + | 7.25609e6i | 1.19877 | + | 0.692110i | 0.960281 | − | 0.279035i | ||
0.238489 | + | 0.971145i | ||||||||
490418. | + | 283143.i | 0.0465964 | + | 0.0269024i | |||||
− | 1.45186e6i | − | 0.137412i | |||||||
1.29964e6 | − | 2.25103e6i | 0.122529 | − | 0.212227i | |||||
−3.81368e6 | − | 6.60549e6i | −0.358166 | − | 0.620361i | 0.629489 | − | 0.777010i | ||
−0.987654 | + | 0.156648i | ||||||||
1.09018e6 | − | 629417.i | 0.101991 | − | 0.0588845i | |||||
2.24705e6 | 0.209411 | |||||||||
1.56272e6 | − | 1.22799e6i | 0.145077 | − | 0.114002i | |||||
−5.04033e6 | −0.466129 | |||||||||
−1.40235e6 | + | 809649.i | −0.129193 | + | 0.0745895i | |||||
8.85402e6 | + | 1.53356e7i | 0.812564 | + | 1.40740i | 0.911064 | + | 0.412265i | ||
−0.0985004 | + | 0.995137i | ||||||||
2.56593e6 | − | 4.44433e6i | 0.234585 | − | 0.406314i | |||||
− | 679235.i | − | 0.0618610i | |||||||
−3.14330e6 | − | 1.81479e6i | −0.285185 | − | 0.164652i | |||||
−886549. | − | 511849.i | −0.0801289 | − | 0.0462625i | |||||
3.75732e6i | 0.338309i | |||||||||
−256484. | + | 444243.i | −0.0230063 | + | 0.0398480i | −0.877299 | − | 0.479944i | ||
0.854293 | + | 0.519792i | ||||||||
−89207.9 | − | 154513.i | −0.00797156 | − | 0.0138071i | |||||
1.61427e7 | − | 9.32002e6i | 1.43706 | − | 0.829685i | 0.439412 | − | 0.898286i | ||
0.997644 | + | 0.0686013i | ||||||||
8.00670e6 | 0.710082 | |||||||||
2.08775e6 | − | 299371.i | 0.184457 | − | 0.0264500i | |||||
−9.92802e6 | −0.873861 | |||||||||
1.68172e6 | − | 970942.i | 0.147469 | − | 0.0851411i | |||||
−574045. | − | 994275.i | −0.0501488 | − | 0.0868602i | |||||
1.26349e6 | − | 2.18843e6i | 0.109966 | − | 0.190467i | |||||
1.00352e6i | 0.0870133i | |||||||||
−2.39596e6 | − | 1.38331e6i | −0.206973 | − | 0.119496i | |||||
3.93044e6 | + | 2.26924e6i | 0.338263 | + | 0.195296i | |||||
2.01459e6i | 0.172735i | |||||||||
461529. | − | 799392.i | 0.0394254 | − | 0.0682868i | |||||
3.16996e6 | + | 5.49053e6i | 0.269784 | + | 0.467280i | 0.968806 | − | 0.247821i | ||
−0.699022 | + | 0.715100i | ||||||||
144369. | − | 83351.7i | 0.0122412 | − | 0.00706748i | |||||
455625. | 0.0384900 | |||||||||
−418402. | + | 1.71903e6i | −0.0352150 | + | 0.144682i | |||||
−8.47267e6 | −0.710475 | −0.355237 | − | 0.934776i | ||||||
−0.355237 | + | 0.934776i | ||||||||
1.85622e6 | − | 1.07169e6i | 0.155080 | − | 0.0895354i | |||||
−1.65724e6 | − | 2.87043e6i | −0.137947 | − | 0.238931i | |||||
922370. | − | 1.59759e6i | 0.0764950 | − | 0.132493i | |||||
− | 1.07242e7i | − | 0.886129i | |||||||
7.02272e6 | + | 4.05457e6i | 0.578156 | + | 0.333798i | |||||
806023. | + | 465357.i | 0.0661143 | + | 0.0381711i | 0.532693 | − | 0.846309i | ||
−0.466578 | + | 0.884480i | ||||||||
499849.i | 0.0408506i | |||||||||
−1.59265e6 | + | 2.75854e6i | −0.129686 | + | 0.224623i | |||||
−4.69773e6 | − | 8.13671e6i | −0.381134 | − | 0.660144i | |||||
2.32775e6 | − | 1.34392e6i | 0.188167 | − | 0.108638i | |||||
−5.47715e6 | −0.441147 | |||||||||
−5.27841e6 | + | 756892.i | −0.423599 | + | 0.0607416i | |||||
2.32663e6 | 0.186039 | |||||||||
2.89151e6 | − | 1.66942e6i | 0.230372 | − | 0.133006i | −0.380371 | − | 0.924834i | ||
0.610744 | + | 0.791828i | ||||||||
−362186. | − | 627325.i | −0.0287519 | − | 0.0497998i | |||||
−404236. | + | 700157.i | −0.0319744 | + | 0.0553812i | |||||
− | 1.47354e7i | − | 1.16135i | |||||||
5.78383e6 | + | 3.33930e6i | 0.454207 | + | 0.262236i | |||||
−1.90719e6 | − | 1.10112e6i | −0.149235 | − | 0.0861609i | |||||
− | 1.64452e6i | − | 0.128221i | |||||||
2.56399e6 | − | 4.44095e6i | 0.199194 | − | 0.345015i | |||||
−4.85972e6 | − | 8.41728e6i | −0.376200 | − | 0.651597i | |||||
154691. | − | 89311.2i | 0.0119322 | − | 0.00688907i | |||||
−7.31359e6 | −0.562128 | −0.281064 | − | 0.959689i | ||||||
−0.281064 | + | 0.959689i | ||||||||
1.82276e6 | − | 1.43233e6i | 0.139601 | − | 0.109698i | |||||
3.51737e6 | 0.268429 | |||||||||
−5.20065e6 | + | 3.00259e6i | −0.395481 | + | 0.228331i | |||||
−1.35044e6 | − | 2.33903e6i | −0.102330 | − | 0.177241i | |||||
6.37807e6 | − | 1.10471e7i | 0.481590 | − | 0.834138i | |||||
6.48149e6i | 0.487671i | |||||||||
−501489. | − | 289535.i | −0.0375992 | − | 0.0217079i | |||||
4.35669e6 | + | 2.51534e6i | 0.325492 | + | 0.187923i | 0.653838 | − | 0.756634i | ||
−0.328346 | + | 0.944558i | ||||||||
3.28032e6i | 0.244214i | |||||||||
−1.55687e6 | + | 2.69657e6i | −0.115499 | + | 0.200050i | |||||
236428. | + | 409505.i | 0.0174783 | + | 0.0302733i | |||||
1.60227e7 | − | 9.25069e6i | 1.18035 | − | 0.681476i | |||||
−1.08342e6 | −0.0795335 | |||||||||
−1.56631e6 | − | 1.99327e6i | −0.114581 | − | 0.145815i | |||||
1.45436e6 | 0.106020 | |||||||||
−1.04334e7 | + | 6.02372e6i | −0.757928 | + | 0.437590i | |||||
8.73225e6 | + | 1.51247e7i | 0.632143 | + | 1.09490i | |||||
−5.16627e6 | + | 8.94823e6i | −0.372696 | + | 0.645528i | −0.989979 | − | 0.141213i | ||
0.617283 | + | 0.786741i | ||||||||
− | 1.71885e6i | − | 0.123568i | |||||||
9.83185e6 | + | 5.67642e6i | 0.704364 | + | 0.406665i | |||||
−3.61071e6 | − | 2.08465e6i | −0.257780 | − | 0.148830i | |||||
9.55936e6i | 0.680116i | |||||||||
−2.09059e6 | + | 3.62102e6i | −0.148226 | + | 0.256734i | |||||
−398541. | − | 690293.i | −0.0281597 | − | 0.0487740i | |||||
−5.42444e6 | + | 3.13180e6i | −0.381956 | + | 0.220522i | |||||
−2.49303e7 | −1.74941 | −0.874706 | − | 0.484654i | ||||||
−0.874706 | + | 0.484654i | ||||||||
2.60859e6 | − | 6.50884e6i | 0.182422 | − | 0.455172i | |||||
531441. | 0.0370370 | |||||||||
−1.42798e6 | + | 824443.i | −0.0991777 | + | 0.0572603i | |||||
−1.24082e6 | − | 2.14916e6i | −0.0858847 | − | 0.148757i | |||||
259583. | − | 449610.i | 0.0179060 | − | 0.0310141i | |||||
7.08686e6i | 0.487185i | 0.969878 | + | 0.243593i | ||||||
−0.969878 | + | 0.243593i | ||||||||
−546101. | − | 315292.i | −0.0374139 | − | 0.0216009i | |||||
2.57397e6 | + | 1.48608e6i | 0.175746 | + | 0.101467i | |||||
3.38824e6i | 0.230558i | |||||||||
2.89444e6 | − | 5.01331e6i | 0.196289 | − | 0.339982i | |||||
−903778. | − | 1.56539e6i | −0.0610830 | − | 0.105799i | |||||
2.32084e6 | − | 1.33994e6i | 0.156327 | − | 0.0902553i | −0.419796 | − | 0.907619i | ||
0.576123 | + | 0.817363i | ||||||||
323542. | 0.0217196 | |||||||||
1.00810e6 | + | 7.03027e6i | 0.0674463 | + | 0.470356i | |||||
2.73918e6 | 0.182646 | |||||||||
−1.18974e7 | + | 6.86897e6i | −0.790643 | + | 0.456478i | −0.840189 | − | 0.542294i | ||
0.0495461 | + | 0.998772i | ||||||||
−8.06185e6 | − | 1.39635e7i | −0.533952 | − | 0.924832i | |||||
4.29945e6 | − | 7.44687e6i | 0.283806 | − | 0.491567i | |||||
− | 2.47207e7i | − | 1.62635i | |||||||
−3.62978e6 | − | 2.09565e6i | −0.238001 | − | 0.137410i | |||||
−264106. | − | 152482.i | −0.0172594 | − | 0.00996469i | |||||
− | 527809.i | − | 0.0343773i | |||||||
366941. | − | 635560.i | 0.0238201 | − | 0.0412576i | |||||
−2.59564e6 | − | 4.49579e6i | −0.167937 | − | 0.290875i | 0.769758 | − | 0.638336i | ||
−0.937694 | + | 0.347462i | ||||||||
−8.82401e6 | + | 5.09455e6i | −0.569012 | + | 0.328519i | |||||
−1.05855e7 | −0.680337 | |||||||||
−3.76443e6 | − | 1.50870e6i | −0.241141 | − | 0.0966436i | |||||
−9989.38 | −0.000637781 | |||||||||
180432. | − | 104173.i | 0.0114818 | − | 0.00662901i | |||||
−3.81097e6 | − | 6.60080e6i | −0.241711 | − | 0.418656i | 0.719491 | − | 0.694502i | ||
−0.961202 | + | 0.275846i | ||||||||
9.48756e6 | − | 1.64329e7i | 0.599766 | − | 1.03882i | |||||
− | 2.96763e6i | − | 0.186985i | |||||||
5.37972e6 | + | 3.10598e6i | 0.337851 | + | 0.195059i | |||||
1.01723e7 | + | 5.87296e6i | 0.636731 | + | 0.367617i | 0.783354 | − | 0.621576i | ||
−0.146623 | + | 0.989192i | ||||||||
50570.5i | 0.00315507i | |||||||||
3.27666e6 | − | 5.67534e6i | 0.203761 | − | 0.352924i | |||||
−320114. | − | 554455.i | −0.0198414 | − | 0.0343663i | |||||
674455. | − | 389397.i | 0.0416677 | − | 0.0240568i | |||||
−1.50434e7 | −0.926351 | |||||||||
−7.63726e6 | − | 3.06084e6i | −0.468759 | − | 0.187867i | |||||
4.11765e6 | 0.251911 | |||||||||
1.92883e7 | − | 1.11361e7i | 1.17619 | − | 0.679074i | 0.221060 | − | 0.975260i | ||
0.955130 | + | 0.296186i | ||||||||
651109. | + | 1.12775e6i | 0.0395755 | + | 0.0685468i | |||||
−4.37427e6 | + | 7.57645e6i | −0.265014 | + | 0.459018i | |||||
370412.i | 0.0223687i | |||||||||
1.65192e7 | + | 9.53738e6i | 0.994354 | + | 0.574090i | 0.906573 | − | 0.422049i | ||
0.0877810 | + | 0.996140i | ||||||||
−2.36223e6 | − | 1.36383e6i | −0.141732 | − | 0.0818292i | |||||
− | 5.83585e6i | − | 0.349020i | |||||||
5.30141e6 | − | 9.18231e6i | 0.316036 | − | 0.547391i | |||||
−733048. | − | 1.26968e6i | −0.0435592 | − | 0.0754467i | |||||
8.39603e6 | − | 4.84745e6i | 0.497308 | − | 0.287121i | |||||
5.53776e6 | 0.326957 | |||||||||
92729.1 | + | 646673.i | 0.00545732 | + | 0.0380582i | |||||
4.18409e6 | 0.245456 | |||||||||
3.44407e6 | − | 1.98843e6i | 0.201398 | − | 0.116277i | |||||
−464858. | − | 805157.i | −0.0270967 | − | 0.0469328i | |||||
5.60626e6 | − | 9.71033e6i | 0.325749 | − | 0.564214i | |||||
8.86217e6i | 0.513293i | |||||||||
−1.10514e6 | − | 638052.i | −0.0638058 | − | 0.0368383i | |||||
1.20781e7 | + | 6.97327e6i | 0.695121 | + | 0.401328i | 0.805528 | − | 0.592558i | ||
−0.110407 | + | 0.993886i | ||||||||
− | 499707.i | − | 0.0286682i | |||||||
3.63145e6 | − | 6.28985e6i | 0.207676 | − | 0.359706i | |||||
2.50767e6 | + | 4.34340e6i | 0.142956 | + | 0.247607i | |||||
2.37037e6 | − | 1.36853e6i | 0.134702 | − | 0.0777704i | |||||
−2.58625e6 | −0.146507 | |||||||||
2.74420e6 | − | 6.84720e6i | 0.154964 | − | 0.386661i | |||||
−5.55967e6 | −0.312966 | |||||||||
−1.70521e6 | + | 984502.i | −0.0956884 | + | 0.0552457i | |||||
−510117. | − | 883548.i | −0.0285356 | − | 0.0494251i | |||||
1.63419e7 | − | 2.83050e7i | 0.911290 | − | 1.57840i | 0.0990448 | − | 0.995083i | ||
0.812245 | − | 0.583317i | ||||||||
− | 3.64829e6i | − | 0.202807i | |||||||
−3.99807e6 | − | 2.30829e6i | −0.221556 | − | 0.127915i | |||||
925561. | + | 534373.i | 0.0511305 | + | 0.0295202i | |||||
199625.i | 0.0109935i | |||||||||
5.08143e6 | − | 8.80130e6i | 0.278965 | − | 0.483182i | |||||
1.05159e6 | + | 1.82140e6i | 0.0575514 | + | 0.0996819i | |||||
−1.29194e6 | + | 745903.i | −0.0704860 | + | 0.0406951i | |||||
2.97107e6 | 0.161593 | |||||||||
−1.83459e7 | − | 2.33467e7i | −0.994719 | − | 1.26587i | |||||
−1.61140e7 | −0.871005 | |||||||||
−1.79561e7 | + | 1.03669e7i | −0.967572 | + | 0.558628i | |||||
9.71774e6 | + | 1.68316e7i | 0.522028 | + | 0.904179i | 0.999672 | + | 0.0256256i | ||
−0.477643 | + | 0.878554i | ||||||||
428000. | − | 741318.i | 0.0229209 | − | 0.0397001i | |||||
− | 151625.i | − | 0.00809503i | −0.999992 | − | 0.00404751i | ||||
0.999992 | − | 0.00404751i | ||||||||
−315652. | − | 182242.i | −0.0168004 | − | 0.00969970i | |||||
9.58212e6 | + | 5.53224e6i | 0.508435 | + | 0.293545i | |||||
2.35873e6i | 0.124772i | |||||||||
−4.24789e6 | + | 7.35757e6i | −0.224016 | + | 0.388008i | |||||
−1.46900e6 | − | 2.54439e6i | −0.0772320 | − | 0.133770i | |||||
7.23708e6 | − | 4.17833e6i | 0.379322 | − | 0.219002i | |||||
−1.26132e7 | −0.659084 | |||||||||
2.32764e6 | − | 1.82906e6i | 0.121257 | − | 0.0952836i | |||||
509385. | 0.0264552 | |||||||||
−1.13403e6 | + | 654735.i | −0.0587176 | + | 0.0339006i | −0.529071 | − | 0.848577i | ||
0.470354 | + | 0.882478i | ||||||||
2.99216e6 | + | 5.18258e6i | 0.154456 | + | 0.267526i | |||||
3.30306e6 | − | 5.72107e6i | 0.169988 | − | 0.294427i | −0.768428 | − | 0.639937i | ||
0.938415 | + | 0.345510i | ||||||||
3.63170e7i | 1.86334i | |||||||||
−810663. | − | 468037.i | −0.0414673 | − | 0.0239412i | |||||
3.66026e6 | + | 2.11325e6i | 0.186664 | + | 0.107771i | |||||
2.30238e7i | 1.17062i | 0.810811 | + | 0.585308i | ||||||
−0.810811 | + | 0.585308i | ||||||||
−382383. | + | 662307.i | −0.0193831 | + | 0.0335725i | |||||
−7.29332e6 | − | 1.26324e7i | −0.368586 | − | 0.638410i | 0.620759 | − | 0.784002i | ||
−0.989345 | + | 0.145592i | ||||||||
−5.84654e6 | + | 3.37550e6i | −0.294580 | + | 0.170076i | |||||
−1.28434e7 | −0.645174 | |||||||||
2.17660e7 | − | 3.12111e6i | 1.09011 | − | 0.156315i | |||||
5.08028e6 | 0.253674 | |||||||||
1.08663e7 | − | 6.27366e6i | 0.540962 | − | 0.312324i | |||||
2.63253e6 | + | 4.55968e6i | 0.130664 | + | 0.226317i | |||||
513466. | − | 889349.i | 0.0254095 | − | 0.0440105i | |||||
− | 6.80693e6i | − | 0.335844i | |||||||
1.55147e7 | + | 8.95741e6i | 0.763191 | + | 0.440628i | |||||
1.31511e7 | + | 7.59280e6i | 0.644997 | + | 0.372389i | 0.786537 | − | 0.617543i | ||
−0.141540 | + | 0.989933i | ||||||||
− | 2.58925e6i | − | 0.126612i | |||||||
9.44234e6 | − | 1.63546e7i | 0.460352 | − | 0.797352i | |||||
−1.65034e7 | − | 2.85848e7i | −0.802221 | − | 1.38949i | |||||
−1.06193e7 | + | 6.13106e6i | −0.514668 | + | 0.297144i | |||||
−5.87132e6 | −0.283713 | |||||||||
2.60843e6 | + | 8.90829e6i | 0.125672 | + | 0.429193i | |||||
−5.07424e6 | −0.243750 | |||||||||
−6.92694e6 | + | 3.99927e6i | −0.331767 | + | 0.191546i | |||||
3.71404e6 | + | 6.43291e6i | 0.177361 | + | 0.307198i | |||||
4.12758e6 | − | 7.14918e6i | 0.196529 | − | 0.340398i | |||||
− | 1.25441e6i | − | 0.0595516i | |||||||
4.66056e6 | + | 2.69078e6i | 0.220604 | + | 0.127366i | |||||
−933791. | − | 539124.i | −0.0440708 | − | 0.0254443i | |||||
1.91131e7i | 0.899412i | 0.893177 | + | 0.449706i | ||||||
−0.893177 | + | 0.449706i | ||||||||
−1.89464e6 | + | 3.28161e6i | −0.0888958 | + | 0.153972i | |||||
1.31125e6 | + | 2.27115e6i | 0.0613438 | + | 0.106251i | |||||
1.46222e6 | − | 844214.i | 0.0682070 | − | 0.0393793i | |||||
−694424. | −0.0322978 | −0.0161489 | − | 0.999870i | ||||||
−0.0161489 | + | 0.999870i | ||||||||
−4.71446e6 | + | 676026.i | −0.218632 | + | 0.0313506i | |||||
3.06363e7 | 1.41662 | 0.708310 | − | 0.705902i | ||||||
0.708310 | + | 0.705902i | ||||||||
665696. | − | 384340.i | 0.0306923 | − | 0.0177202i | |||||
−1.15411e6 | − | 1.99898e6i | −0.0530567 | − | 0.0918968i | |||||
1.06281e7 | − | 1.84085e7i | 0.487179 | − | 0.843819i | |||||
− | 1.30948e6i | − | 0.0598511i | −0.999552 | − | 0.0299255i | ||||
0.999552 | − | 0.0299255i | ||||||||
1.07957e6 | + | 623293.i | 0.0492004 | + | 0.0284058i | |||||
−3.29131e6 | − | 1.90024e6i | −0.149565 | − | 0.0863512i | |||||
1.23238e7i | 0.558405i | |||||||||
−5.72377e6 | + | 9.91385e6i | −0.258603 | + | 0.447914i | |||||
−1.33429e6 | − | 2.31106e6i | −0.0601105 | − | 0.104114i | |||||
5.54005e6 | − | 3.19855e6i | 0.248865 | − | 0.143683i | |||||
−1.49751e6 | −0.0670765 | |||||||||
−1.66665e7 | + | 1.30966e7i | −0.744389 | + | 0.584941i | |||||
2.09637e7 | 0.933633 | |||||||||
3.87649e6 | − | 2.23809e6i | 0.172148 | − | 0.0993900i | |||||
6.69584e6 | + | 1.15975e7i | 0.296501 | + | 0.513555i | |||||
468579. | − | 811602.i | 0.0206901 | − | 0.0358363i | |||||
− | 541992.i | − | 0.0238634i | |||||||
3.04731e7 | + | 1.75936e7i | 1.33788 | + | 0.772426i | 0.986493 | − | 0.163804i | ||
0.351388 | + | 0.936230i | ||||||||
−4.47977e6 | − | 2.58639e6i | −0.196119 | − | 0.113229i | |||||
329354.i | 0.0143778i | |||||||||
−1.76567e6 | + | 3.05824e6i | −0.0768606 | + | 0.133126i | |||||
−2.41552e6 | − | 4.18380e6i | −0.104850 | − | 0.181606i | 0.808827 | − | 0.588047i | ||
−0.913677 | + | 0.406441i | ||||||||
4.83582e6 | − | 2.79196e6i | 0.209314 | − | 0.120848i | |||||
−4.01230e7 | −1.73178 | −0.865888 | − | 0.500238i | ||||||
−0.865888 | + | 0.500238i | ||||||||
689940. | + | 878009.i | 0.0296948 | + | 0.0377893i | |||||
−3.03814e6 | −0.130391 | |||||||||
−3.53485e7 | + | 2.04085e7i | −1.51282 | + | 0.873425i | |||||
653107. | + | 1.13122e6i | 0.0278725 | + | 0.0482765i | 0.879625 | − | 0.475667i | ||
−0.851753 | + | 0.523944i | ||||||||
2.34497e6 | − | 4.06161e6i | 0.0997943 | − | 0.172849i | |||||
64577.8i | 0.00274049i | |||||||||
278461. | + | 160770.i | 0.0117839 | + | 0.00680345i | |||||
−945558. | − | 545918.i | −0.0399019 | − | 0.0230374i | |||||
− | 1.46477e6i | − | 0.0616394i | |||||||
7.77291e6 | − | 1.34631e7i | 0.326178 | − | 0.564957i | |||||
−8.07754e6 | − | 1.39907e7i | −0.338014 | − | 0.585458i | |||||
6.60813e6 | − | 3.81520e6i | 0.275753 | − | 0.159206i | |||||
−8.01325e6 | −0.333456 | |||||||||
−4.04239e6 | + | 1.00864e7i | −0.167748 | + | 0.418557i | |||||
3.66233e7 | 1.51554 | |||||||||
−1.03128e7 | + | 5.95411e6i | −0.425577 | + | 0.245707i | |||||
120614. | + | 208910.i | 0.00496355 | + | 0.00859711i | |||||
−1.68279e6 | + | 2.91469e6i | −0.0690588 | + | 0.119613i | |||||
3.71359e6i | 0.151977i | |||||||||
−3.01653e6 | − | 1.74159e6i | −0.123109 | − | 0.0710767i | |||||
7.58266e6 | + | 4.37785e6i | 0.308603 | + | 0.178172i | |||||
2.19370e7i | 0.890338i | |||||||||
−9383.72 | + | 16253.1i | −0.000379799 | + | 0.000657832i | |||||
5.75673e6 | + | 9.97095e6i | 0.232358 | + | 0.402456i | 0.958502 | − | 0.285087i | ||
−0.726143 | + | 0.687543i | ||||||||
4.91718e6 | − | 2.83894e6i | 0.197926 | − | 0.114272i | |||||
−8.75322e6 | −0.351365 | |||||||||
−676809. | − | 4.71992e6i | −0.0270933 | − | 0.188943i | |||||
−2.93959e7 | −1.17352 | −0.586760 | − | 0.809761i | ||||||
−0.586760 | + | 0.809761i | ||||||||
8.56795e6 | − | 4.94671e6i | 0.341106 | − | 0.196938i | |||||
4.30548e6 | + | 7.45731e6i | 0.170940 | + | 0.296078i | |||||
−1.66138e7 | + | 2.87759e7i | −0.657814 | + | 1.13937i | |||||
− | 2.72384e6i | − | 0.107555i | |||||||
1.23241e6 | + | 711534.i | 0.0485308 | + | 0.0280193i | |||||
−1.41125e6 | − | 814784.i | −0.0554217 | − | 0.0319977i | |||||
− | 1.46315e6i | − | 0.0573036i | |||||||
−2.02023e7 | + | 3.49914e7i | −0.789063 | + | 1.36670i | 0.137479 | + | 0.990505i | ||
−0.926542 | + | 0.376192i | ||||||||
4.75213e6 | + | 8.23094e6i | 0.185105 | + | 0.320612i | |||||
−1.63349e7 | + | 9.43095e6i | −0.634552 | + | 0.366359i | |||||
−7.24763e6 | −0.280782 | |||||||||
−1.42209e7 | − | 5.69939e6i | −0.549442 | − | 0.220203i | |||||
−428041. | −0.0164932 | |||||||||
1.47007e6 | − | 848745.i | 0.0564916 | − | 0.0326154i | |||||
−2.08530e6 | − | 3.61185e6i | −0.0799174 | − | 0.138421i | |||||
−7.66597e6 | + | 1.32779e7i | −0.293000 | + | 0.507491i | |||||
− | 2.18081e6i | − | 0.0831280i | |||||||
4.33856e7 | + | 2.50487e7i | 1.64933 | + | 0.952239i | 0.977340 | + | 0.211674i | ||
0.671986 | + | 0.740564i | ||||||||
−9.49513e6 | − | 5.48201e6i | −0.359992 | − | 0.207842i | |||||
1.71073e7i | 0.646856i | |||||||||
2.57295e6 | − | 4.45649e6i | 0.0970269 | − | 0.168056i | |||||
3.28426e6 | + | 5.68851e6i | 0.123519 | + | 0.213941i | |||||
−2.29018e7 | + | 1.32223e7i | −0.859017 | + | 0.495954i | |||||
−1.60002e6 | −0.0598543 | |||||||||
8.79015e6 | + | 3.52289e6i | 0.327949 | + | 0.131434i | |||||
−1.74797e7 | −0.650408 | −0.325204 | − | 0.945644i | ||||||
−0.325204 | + | 0.945644i | ||||||||
9.42960e6 | − | 5.44418e6i | 0.349934 | − | 0.202035i | |||||
−9.10798e6 | − | 1.57755e7i | −0.337099 | − | 0.583873i | |||||
714983. | − | 1.23839e6i | 0.0263922 | − | 0.0457127i | |||||
2.44440e7i | 0.899907i | 0.893052 | + | 0.449954i | ||||||
−0.893052 | + | 0.449954i | ||||||||
1.44190e7 | + | 8.32484e6i | 0.529431 | + | 0.305667i | |||||
7.33760e6 | + | 4.23636e6i | 0.268704 | + | 0.155136i | |||||
1.14614e7i | 0.418608i | |||||||||
546550. | − | 946653.i | 0.0199090 | − | 0.0344835i | |||||
2.80197e6 | + | 4.85315e6i | 0.101797 | + | 0.176318i | |||||
−4.15382e7 | + | 2.39821e7i | −1.50513 | + | 0.868986i | −0.505145 | + | 0.863035i | ||
−0.999982 | + | 0.00595105i | ||||||||
−1.64855e6 | −0.0595773 | |||||||||
−1.09309e6 | − | 7.62300e6i | −0.0393996 | − | 0.274764i | |||||
4.22410e6 | 0.151854 | |||||||||
1.33256e6 | − | 769355.i | 0.0477789 | − | 0.0275852i | |||||
−2.21288e6 | − | 3.83282e6i | −0.0791344 | − | 0.137065i | |||||
2.01944e7 | − | 3.49778e7i | 0.720277 | − | 1.24756i | −0.240612 | − | 0.970621i | ||
0.960889 | − | 0.276934i | ||||||||
3.69924e6i | 0.131596i | |||||||||
−2.90899e6 | − | 1.67951e6i | −0.103213 | − | 0.0595900i | |||||
−5.52391e6 | − | 3.18923e6i | −0.195480 | − | 0.112860i | |||||
1.91008e6i | 0.0674175i | |||||||||
−8.41739e6 | + | 1.45794e7i | −0.296322 | + | 0.513245i | |||||
3.82095e6 | + | 6.61808e6i | 0.134161 | + | 0.232373i | |||||
7.03157e6 | − | 4.05968e6i | 0.246249 | − | 0.142172i | |||||
−5.85571e7 | −2.04537 | |||||||||
3.21297e6 | − | 8.01685e6i | 0.111936 | − | 0.279297i | |||||
712802. | 0.0247687 | |||||||||
−4.38309e6 | + | 2.53058e6i | −0.151910 | + | 0.0877055i | |||||
971698. | + | 1.68303e6i | 0.0335902 | + | 0.0581800i | |||||
2.79093e6 | − | 4.83403e6i | 0.0962290 | − | 0.166674i | |||||
− | 4.79161e7i | − | 1.64784i | −0.566706 | − | 0.823920i | ||||
0.566706 | − | 0.823920i | ||||||||
−2.21588e7 | − | 1.27934e7i | −0.760079 | − | 0.438832i | |||||
3.88205e6 | + | 2.24130e6i | 0.132816 | + | 0.0766816i | |||||
− | 7.20986e6i | − | 0.246035i | |||||||
1.18520e7 | − | 2.05282e7i | 0.403406 | − | 0.698720i | −0.590728 | − | 0.806871i | ||
0.994135 | + | 0.108150i | ||||||||
140684. | + | 243672.i | 0.00477617 | + | 0.00827258i | |||||
1.38761e7 | − | 8.01138e6i | 0.469879 | − | 0.271285i | |||||
−2.53345e7 | −0.855687 | |||||||||
2.11774e6 | + | 2.69502e6i | 0.0713447 | + | 0.0907925i | |||||
−1.02757e7 | −0.345293 | |||||||||
−2.09892e7 | + | 1.21181e7i | −0.703493 | + | 0.406162i | −0.808647 | − | 0.588294i | ||
0.105154 | + | 0.994456i | ||||||||
7.98068e6 | + | 1.38229e7i | 0.266804 | + | 0.462118i | |||||
205063. | − | 355180.i | 0.00683804 | − | 0.0118438i | |||||
1.57360e6i | 0.0523394i | |||||||||
7.66452e6 | + | 4.42511e6i | 0.254280 | + | 0.146809i | |||||
−2.55396e7 | − | 1.47453e7i | −0.845153 | − | 0.487949i | |||||
3.71789e6i | 0.122719i | 0.998116 | + | 0.0613597i | ||||||
−0.998116 | + | 0.0613597i | ||||||||
3.69193e6 | − | 6.39461e6i | 0.121553 | − | 0.210536i | |||||
−1.31088e6 | − | 2.27051e6i | −0.0430499 | − | 0.0745645i | |||||
−2.21674e6 | + | 1.27983e6i | −0.0726142 | + | 0.0419238i | |||||
−6.47974e6 | −0.211721 | |||||||||
−2.95660e6 | + | 2.32330e6i | −0.0963608 | + | 0.0757203i | |||||
1.27856e7 | 0.415654 | |||||||||
−1.52302e6 | + | 879318.i | −0.0493877 | + | 0.0285140i | |||||
−8.13116e6 | − | 1.40836e7i | −0.263008 | − | 0.455543i | 0.704032 | − | 0.710168i | ||
−0.967040 | + | 0.254626i | ||||||||
7.98341e6 | − | 1.38277e7i | 0.257578 | − | 0.446139i | |||||
1.38081e7i | 0.444385i | |||||||||
6.81553e6 | + | 3.93495e6i | 0.218793 | + | 0.126320i | |||||
−4.63561e6 | − | 2.67637e6i | −0.148439 | − | 0.0857015i | |||||
− | 2.21907e6i | − | 0.0708797i | |||||||
1.07275e6 | − | 1.85806e6i | 0.0341791 | − | 0.0592000i | −0.848430 | − | 0.529308i | ||
0.882609 | + | 0.470108i | ||||||||
−2.62810e7 | − | 4.55200e7i | −0.835247 | − | 1.44669i | |||||
1.71469e6 | − | 989976.i | 0.0543590 | − | 0.0313842i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 195.6.bb.a.166.16 | yes | 44 | |
13.4 | even | 6 | inner | 195.6.bb.a.121.16 | ✓ | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
195.6.bb.a.121.16 | ✓ | 44 | 13.4 | even | 6 | inner | |
195.6.bb.a.166.16 | yes | 44 | 1.1 | even | 1 | trivial |