Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,3,Mod(2,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.f (of order \(20\), degree \(8\), 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: | \(0.681200660901\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 8.1 | ||
Character | \(\chi\) | \(=\) | 25.8 |
Dual form | 25.3.f.a.22.1 |
$q$-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 \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.38234 | − | 1.21387i | −1.19117 | − | 0.606933i | −0.257924 | − | 0.966165i | \(-0.583039\pi\) |
−0.933248 | + | 0.359233i | \(0.883039\pi\) | |||||||
\(3\) | −3.57679 | − | 0.566508i | −1.19226 | − | 0.188836i | −0.471404 | − | 0.881917i | \(-0.656253\pi\) |
−0.720859 | + | 0.693081i | \(0.756253\pi\) | |||||||
\(4\) | 1.85096 | + | 2.54762i | 0.462739 | + | 0.636906i | ||||
\(5\) | −4.45026 | − | 2.27929i | −0.890053 | − | 0.455857i | ||||
\(6\) | 7.83348 | + | 5.69136i | 1.30558 | + | 0.948560i | ||||
\(7\) | 6.54971 | − | 6.54971i | 0.935673 | − | 0.935673i | −0.0623792 | − | 0.998053i | \(-0.519869\pi\) |
0.998053 | + | 0.0623792i | \(0.0198688\pi\) | |||||||
\(8\) | 0.355933 | + | 2.24727i | 0.0444916 | + | 0.280909i | ||||
\(9\) | 3.91299 | + | 1.27141i | 0.434777 | + | 0.141268i | ||||
\(10\) | 7.83532 | + | 10.8321i | 0.783532 | + | 1.08321i | ||||
\(11\) | −3.18653 | − | 9.80714i | −0.289685 | − | 0.891558i | −0.984955 | − | 0.172810i | \(-0.944715\pi\) |
0.695270 | − | 0.718748i | \(-0.255285\pi\) | |||||||
\(12\) | −5.17723 | − | 10.1609i | −0.431436 | − | 0.846741i | ||||
\(13\) | −11.3286 | + | 5.77220i | −0.871430 | + | 0.444016i | −0.831720 | − | 0.555195i | \(-0.812643\pi\) |
−0.0397101 | + | 0.999211i | \(0.512643\pi\) | |||||||
\(14\) | −23.5541 | + | 7.65321i | −1.68244 | + | 0.546658i | ||||
\(15\) | 14.6264 | + | 10.6736i | 0.975095 | + | 0.711576i | ||||
\(16\) | 5.77235 | − | 17.7655i | 0.360772 | − | 1.11034i | ||||
\(17\) | 0.578287 | − | 0.0915916i | 0.0340169 | − | 0.00538774i | −0.139403 | − | 0.990236i | \(-0.544518\pi\) |
0.173420 | + | 0.984848i | \(0.444518\pi\) | |||||||
\(18\) | −7.77878 | − | 7.77878i | −0.432154 | − | 0.432154i | ||||
\(19\) | 1.57500 | − | 2.16781i | 0.0828949 | − | 0.114095i | −0.765556 | − | 0.643370i | \(-0.777536\pi\) |
0.848451 | + | 0.529275i | \(0.177536\pi\) | |||||||
\(20\) | −2.43048 | − | 15.5565i | −0.121524 | − | 0.777823i | ||||
\(21\) | −27.1374 | + | 19.7165i | −1.29226 | + | 0.938880i | ||||
\(22\) | −4.31313 | + | 27.2320i | −0.196051 | + | 1.23782i | ||||
\(23\) | 16.5548 | − | 32.4907i | 0.719775 | − | 1.41264i | −0.183257 | − | 0.983065i | \(-0.558664\pi\) |
0.903032 | − | 0.429573i | \(-0.141336\pi\) | |||||||
\(24\) | − | 8.23965i | − | 0.343319i | ||||||
\(25\) | 14.6097 | + | 20.2869i | 0.584388 | + | 0.811474i | ||||
\(26\) | 33.9953 | 1.30751 | ||||||||
\(27\) | 15.7643 | + | 8.03233i | 0.583864 | + | 0.297494i | ||||
\(28\) | 28.8094 | + | 4.56297i | 1.02891 | + | 0.162963i | ||||
\(29\) | 9.15785 | + | 12.6047i | 0.315788 | + | 0.434645i | 0.937175 | − | 0.348859i | \(-0.113431\pi\) |
−0.621387 | + | 0.783504i | \(0.713431\pi\) | |||||||
\(30\) | −21.8888 | − | 43.1828i | −0.729628 | − | 1.43943i | ||||
\(31\) | −15.1042 | − | 10.9739i | −0.487233 | − | 0.353995i | 0.316886 | − | 0.948464i | \(-0.397363\pi\) |
−0.804119 | + | 0.594468i | \(0.797363\pi\) | |||||||
\(32\) | −28.8811 | + | 28.8811i | −0.902536 | + | 0.902536i | ||||
\(33\) | 5.84174 | + | 36.8833i | 0.177022 | + | 1.11767i | ||||
\(34\) | −1.48886 | − | 0.483759i | −0.0437900 | − | 0.0142282i | ||||
\(35\) | −44.0766 | + | 14.2193i | −1.25933 | + | 0.406265i | ||||
\(36\) | 4.00371 | + | 12.3221i | 0.111214 | + | 0.342282i | ||||
\(37\) | −26.1444 | − | 51.3113i | −0.706606 | − | 1.38679i | −0.912852 | − | 0.408292i | \(-0.866125\pi\) |
0.206246 | − | 0.978500i | \(-0.433875\pi\) | |||||||
\(38\) | −6.38363 | + | 3.25262i | −0.167990 | + | 0.0855953i | ||||
\(39\) | 43.7900 | − | 14.2282i | 1.12282 | − | 0.364826i | ||||
\(40\) | 3.53818 | − | 10.8122i | 0.0884544 | − | 0.270305i | ||||
\(41\) | 0.808618 | − | 2.48867i | 0.0197224 | − | 0.0606993i | −0.940711 | − | 0.339209i | \(-0.889841\pi\) |
0.960433 | + | 0.278510i | \(0.0898405\pi\) | |||||||
\(42\) | 88.5838 | − | 14.0303i | 2.10914 | − | 0.334055i | ||||
\(43\) | −7.76543 | − | 7.76543i | −0.180591 | − | 0.180591i | 0.611022 | − | 0.791614i | \(-0.290759\pi\) |
−0.791614 | + | 0.611022i | \(0.790759\pi\) | |||||||
\(44\) | 19.0868 | − | 26.2707i | 0.433790 | − | 0.597061i | ||||
\(45\) | −14.5159 | − | 14.5769i | −0.322577 | − | 0.323932i | ||||
\(46\) | −78.8786 | + | 57.3086i | −1.71475 | + | 1.24584i | ||||
\(47\) | −6.13916 | + | 38.7611i | −0.130620 | + | 0.824705i | 0.832183 | + | 0.554501i | \(0.187091\pi\) |
−0.962803 | + | 0.270204i | \(0.912909\pi\) | |||||||
\(48\) | −30.7108 | + | 60.2733i | −0.639808 | + | 1.25569i | ||||
\(49\) | − | 36.7975i | − | 0.750969i | ||||||
\(50\) | −10.1799 | − | 66.0645i | −0.203597 | − | 1.32129i | ||||
\(51\) | −2.12030 | −0.0415745 | ||||||||
\(52\) | −35.6741 | − | 18.1769i | −0.686041 | − | 0.349555i | ||||
\(53\) | 39.0747 | + | 6.18882i | 0.737258 | + | 0.116770i | 0.513760 | − | 0.857934i | \(-0.328252\pi\) |
0.223498 | + | 0.974704i | \(0.428252\pi\) | |||||||
\(54\) | −27.8059 | − | 38.2716i | −0.514924 | − | 0.708733i | ||||
\(55\) | −8.17236 | + | 50.9074i | −0.148588 | + | 0.925589i | ||||
\(56\) | 17.0502 | + | 12.3877i | 0.304468 | + | 0.221209i | ||||
\(57\) | −6.86154 | + | 6.86154i | −0.120378 | + | 0.120378i | ||||
\(58\) | −6.51675 | − | 41.1452i | −0.112358 | − | 0.709399i | ||||
\(59\) | 0.494461 | + | 0.160660i | 0.00838070 | + | 0.00272305i | 0.313204 | − | 0.949686i | \(-0.398598\pi\) |
−0.304824 | + | 0.952409i | \(0.598598\pi\) | |||||||
\(60\) | −0.119521 | + | 57.0191i | −0.00199202 | + | 0.950318i | ||||
\(61\) | 7.44472 | + | 22.9125i | 0.122045 | + | 0.375615i | 0.993351 | − | 0.115125i | \(-0.0367267\pi\) |
−0.871306 | + | 0.490739i | \(0.836727\pi\) | |||||||
\(62\) | 22.6627 | + | 44.4780i | 0.365527 | + | 0.717387i | ||||
\(63\) | 33.9563 | − | 17.3016i | 0.538989 | − | 0.274629i | ||||
\(64\) | 32.8008 | − | 10.6576i | 0.512512 | − | 0.166525i | ||||
\(65\) | 63.5717 | + | 0.133256i | 0.978027 | + | 0.00205010i | ||||
\(66\) | 30.8543 | − | 94.9598i | 0.467489 | − | 1.43878i | ||||
\(67\) | 6.71462 | − | 1.06349i | 0.100218 | − | 0.0158730i | −0.106124 | − | 0.994353i | \(-0.533844\pi\) |
0.206342 | + | 0.978480i | \(0.433844\pi\) | |||||||
\(68\) | 1.30372 | + | 1.30372i | 0.0191724 | + | 0.0191724i | ||||
\(69\) | −77.6194 | + | 106.834i | −1.12492 | + | 1.54832i | ||||
\(70\) | 122.266 | + | 19.6278i | 1.74666 | + | 0.280398i | ||||
\(71\) | 80.2586 | − | 58.3113i | 1.13040 | − | 0.821286i | 0.144650 | − | 0.989483i | \(-0.453795\pi\) |
0.985753 | + | 0.168197i | \(0.0537945\pi\) | |||||||
\(72\) | −1.46444 | + | 9.24608i | −0.0203394 | + | 0.128418i | ||||
\(73\) | 27.3185 | − | 53.6155i | 0.374226 | − | 0.734459i | −0.624697 | − | 0.780867i | \(-0.714777\pi\) |
0.998923 | + | 0.0464080i | \(0.0147774\pi\) | |||||||
\(74\) | 153.977i | 2.08077i | ||||||||
\(75\) | −40.7632 | − | 80.8383i | −0.543510 | − | 1.07784i | ||||
\(76\) | 8.43802 | 0.111027 | ||||||||
\(77\) | −85.1048 | − | 43.3631i | −1.10526 | − | 0.563157i | ||||
\(78\) | −121.594 | − | 19.2586i | −1.55890 | − | 0.246905i | ||||
\(79\) | 2.28841 | + | 3.14973i | 0.0289672 | + | 0.0398699i | 0.823255 | − | 0.567672i | \(-0.192156\pi\) |
−0.794288 | + | 0.607542i | \(0.792156\pi\) | |||||||
\(80\) | −66.1811 | + | 65.9042i | −0.827263 | + | 0.823802i | ||||
\(81\) | −81.7927 | − | 59.4258i | −1.00979 | − | 0.733652i | ||||
\(82\) | −4.94732 | + | 4.94732i | −0.0603332 | + | 0.0603332i | ||||
\(83\) | −10.3587 | − | 65.4021i | −0.124803 | − | 0.787977i | −0.968107 | − | 0.250539i | \(-0.919392\pi\) |
0.843303 | − | 0.537438i | \(-0.180608\pi\) | |||||||
\(84\) | −100.460 | − | 32.6415i | −1.19596 | − | 0.388590i | ||||
\(85\) | −2.78229 | − | 0.910474i | −0.0327329 | − | 0.0107115i | ||||
\(86\) | 9.07375 | + | 27.9261i | 0.105509 | + | 0.324722i | ||||
\(87\) | −25.6151 | − | 50.2724i | −0.294426 | − | 0.577844i | ||||
\(88\) | 20.9051 | − | 10.6517i | 0.237558 | − | 0.121042i | ||||
\(89\) | −49.5405 | + | 16.0967i | −0.556635 | + | 0.180862i | −0.573807 | − | 0.818991i | \(-0.694534\pi\) |
0.0171715 | + | 0.999853i | \(0.494534\pi\) | |||||||
\(90\) | 16.8876 | + | 52.3477i | 0.187640 | + | 0.581641i | ||||
\(91\) | −36.3927 | + | 112.005i | −0.399920 | + | 1.23083i | ||||
\(92\) | 113.416 | − | 17.9634i | 1.23278 | − | 0.195254i | ||||
\(93\) | 47.8078 | + | 47.8078i | 0.514063 | + | 0.514063i | ||||
\(94\) | 61.6764 | − | 84.8903i | 0.656132 | − | 0.903088i | ||||
\(95\) | −11.9502 | + | 6.05743i | −0.125792 | + | 0.0637624i | ||||
\(96\) | 119.663 | − | 86.9404i | 1.24649 | − | 0.905629i | ||||
\(97\) | 0.610311 | − | 3.85335i | 0.00629187 | − | 0.0397253i | −0.984343 | − | 0.176265i | \(-0.943598\pi\) |
0.990635 | + | 0.136540i | \(0.0435983\pi\) | |||||||
\(98\) | −44.6672 | + | 87.6643i | −0.455788 | + | 0.894534i | ||||
\(99\) | − | 42.4266i | − | 0.428552i | ||||||
\(100\) | −24.6413 | + | 74.7701i | −0.246413 | + | 0.747701i | ||||
\(101\) | 76.8760 | 0.761148 | 0.380574 | − | 0.924750i | \(-0.375726\pi\) | ||||
0.380574 | + | 0.924750i | \(0.375726\pi\) | |||||||
\(102\) | 5.05128 | + | 2.57376i | 0.0495224 | + | 0.0252329i | ||||
\(103\) | −73.6729 | − | 11.6686i | −0.715270 | − | 0.113288i | −0.211816 | − | 0.977310i | \(-0.567938\pi\) |
−0.503454 | + | 0.864022i | \(0.667938\pi\) | |||||||
\(104\) | −17.0039 | − | 23.4039i | −0.163499 | − | 0.225037i | ||||
\(105\) | 165.708 | − | 25.8897i | 1.57817 | − | 0.246568i | ||||
\(106\) | −85.5769 | − | 62.1753i | −0.807330 | − | 0.586559i | ||||
\(107\) | 39.5670 | − | 39.5670i | 0.369785 | − | 0.369785i | −0.497614 | − | 0.867399i | \(-0.665790\pi\) |
0.867399 | + | 0.497614i | \(0.165790\pi\) | |||||||
\(108\) | 8.71575 | + | 55.0291i | 0.0807014 | + | 0.509529i | ||||
\(109\) | 190.485 | + | 61.8922i | 1.74757 | + | 0.567819i | 0.995795 | − | 0.0916057i | \(-0.0291999\pi\) |
0.751771 | + | 0.659424i | \(0.229200\pi\) | |||||||
\(110\) | 81.2641 | − | 111.359i | 0.738764 | − | 1.01235i | ||||
\(111\) | 64.4448 | + | 198.341i | 0.580584 | + | 1.78685i | ||||
\(112\) | −78.5515 | − | 154.166i | −0.701353 | − | 1.37648i | ||||
\(113\) | −142.279 | + | 72.4950i | −1.25911 | + | 0.641548i | −0.950820 | − | 0.309744i | \(-0.899757\pi\) |
−0.308290 | + | 0.951293i | \(0.599757\pi\) | |||||||
\(114\) | 24.6755 | − | 8.01757i | 0.216452 | − | 0.0703295i | ||||
\(115\) | −147.729 | + | 106.859i | −1.28460 | + | 0.929208i | ||||
\(116\) | −15.1612 | + | 46.6615i | −0.130700 | + | 0.402254i | ||||
\(117\) | −51.6675 | + | 8.18333i | −0.441603 | + | 0.0699430i | ||||
\(118\) | −0.982957 | − | 0.982957i | −0.00833015 | − | 0.00833015i | ||||
\(119\) | 3.18771 | − | 4.38751i | 0.0267875 | − | 0.0368699i | ||||
\(120\) | −18.7805 | + | 36.6686i | −0.156504 | + | 0.305572i | ||||
\(121\) | 11.8651 | − | 8.62049i | 0.0980586 | − | 0.0712438i | ||||
\(122\) | 10.0768 | − | 63.6224i | 0.0825967 | − | 0.521495i | ||||
\(123\) | −4.30211 | + | 8.44337i | −0.0349765 | + | 0.0686453i | ||||
\(124\) | − | 58.7920i | − | 0.474129i | ||||||
\(125\) | −18.7775 | − | 123.582i | −0.150220 | − | 0.988653i | ||||
\(126\) | −101.897 | −0.808710 | ||||||||
\(127\) | 215.891 | + | 110.002i | 1.69993 | + | 0.866157i | 0.986164 | + | 0.165773i | \(0.0530119\pi\) |
0.713766 | + | 0.700384i | \(0.246988\pi\) | |||||||
\(128\) | 70.2853 | + | 11.1321i | 0.549104 | + | 0.0869695i | ||||
\(129\) | 23.3761 | + | 32.1745i | 0.181210 | + | 0.249415i | ||||
\(130\) | −151.288 | − | 77.4850i | −1.16375 | − | 0.596038i | ||||
\(131\) | −43.7237 | − | 31.7672i | −0.333769 | − | 0.242497i | 0.408259 | − | 0.912866i | \(-0.366136\pi\) |
−0.742028 | + | 0.670369i | \(0.766136\pi\) | |||||||
\(132\) | −83.1519 | + | 83.1519i | −0.629938 | + | 0.629938i | ||||
\(133\) | −3.88269 | − | 24.5143i | −0.0291932 | − | 0.184318i | ||||
\(134\) | −17.2875 | − | 5.61704i | −0.129011 | − | 0.0419182i | ||||
\(135\) | −51.8475 | − | 71.6774i | −0.384056 | − | 0.530944i | ||||
\(136\) | 0.411662 | + | 1.26697i | 0.00302693 | + | 0.00931593i | ||||
\(137\) | 69.6488 | + | 136.693i | 0.508385 | + | 0.997762i | 0.992441 | + | 0.122725i | \(0.0391632\pi\) |
−0.484056 | + | 0.875037i | \(0.660837\pi\) | |||||||
\(138\) | 314.598 | − | 160.296i | 2.27970 | − | 1.16156i | ||||
\(139\) | −159.568 | + | 51.8467i | −1.14797 | + | 0.372998i | −0.820378 | − | 0.571821i | \(-0.806237\pi\) |
−0.327592 | + | 0.944819i | \(0.606237\pi\) | |||||||
\(140\) | −117.809 | − | 85.9713i | −0.841495 | − | 0.614081i | ||||
\(141\) | 43.9170 | − | 135.163i | 0.311468 | − | 0.958600i | ||||
\(142\) | −261.986 | + | 41.4945i | −1.84497 | + | 0.292215i | ||||
\(143\) | 92.7077 | + | 92.7077i | 0.648306 | + | 0.648306i | ||||
\(144\) | 45.1743 | − | 62.1771i | 0.313710 | − | 0.431785i | ||||
\(145\) | −12.0251 | − | 76.9676i | −0.0829321 | − | 0.530811i | ||||
\(146\) | −130.164 | + | 94.5697i | −0.891535 | + | 0.647738i | ||||
\(147\) | −20.8461 | + | 131.617i | −0.141810 | + | 0.895353i | ||||
\(148\) | 82.3297 | − | 161.581i | 0.556282 | − | 1.09176i | ||||
\(149\) | − | 239.699i | − | 1.60872i | −0.594144 | − | 0.804359i | \(-0.702509\pi\) | ||
0.594144 | − | 0.804359i | \(-0.297491\pi\) | |||||||
\(150\) | −1.01482 | + | 242.066i | −0.00676547 | + | 1.61377i | ||||
\(151\) | −69.4171 | −0.459716 | −0.229858 | − | 0.973224i | \(-0.573826\pi\) | ||||
−0.229858 | + | 0.973224i | \(0.573826\pi\) | |||||||
\(152\) | 5.43224 | + | 2.76787i | 0.0357384 | + | 0.0182096i | ||||
\(153\) | 2.37928 | + | 0.376841i | 0.0155509 | + | 0.00246301i | ||||
\(154\) | 150.112 | + | 206.612i | 0.974754 | + | 1.34163i | ||||
\(155\) | 42.2052 | + | 83.2634i | 0.272292 | + | 0.537183i | ||||
\(156\) | 117.302 | + | 85.2246i | 0.751933 | + | 0.546311i | ||||
\(157\) | 14.5029 | − | 14.5029i | 0.0923752 | − | 0.0923752i | −0.659409 | − | 0.751784i | \(-0.729193\pi\) |
0.751784 | + | 0.659409i | \(0.229193\pi\) | |||||||
\(158\) | −1.62844 | − | 10.2816i | −0.0103066 | − | 0.0650731i | ||||
\(159\) | −136.256 | − | 44.2722i | −0.856955 | − | 0.278442i | ||||
\(160\) | 194.357 | − | 62.7003i | 1.21473 | − | 0.391877i | ||||
\(161\) | −104.375 | − | 321.234i | −0.648293 | − | 1.99524i | ||||
\(162\) | 122.723 | + | 240.858i | 0.757551 | + | 1.48678i | ||||
\(163\) | −64.6287 | + | 32.9299i | −0.396495 | + | 0.202024i | −0.640858 | − | 0.767660i | \(-0.721421\pi\) |
0.244363 | + | 0.969684i | \(0.421421\pi\) | |||||||
\(164\) | 7.83691 | − | 2.54637i | 0.0477860 | − | 0.0155266i | ||||
\(165\) | 58.0703 | − | 177.455i | 0.351941 | − | 1.07549i | ||||
\(166\) | −54.7114 | + | 168.384i | −0.329587 | + | 1.01436i | ||||
\(167\) | −29.8337 | + | 4.72519i | −0.178645 | + | 0.0282945i | −0.245116 | − | 0.969494i | \(-0.578826\pi\) |
0.0664711 | + | 0.997788i | \(0.478826\pi\) | |||||||
\(168\) | −53.9674 | − | 53.9674i | −0.321234 | − | 0.321234i | ||||
\(169\) | −4.31711 | + | 5.94199i | −0.0255450 | + | 0.0351597i | ||||
\(170\) | 5.52319 | + | 5.54639i | 0.0324893 | + | 0.0326258i | ||||
\(171\) | 8.91914 | − | 6.48014i | 0.0521587 | − | 0.0378955i | ||||
\(172\) | 5.40992 | − | 34.1569i | 0.0314530 | − | 0.198586i | ||||
\(173\) | −86.0843 | + | 168.950i | −0.497597 | + | 0.976589i | 0.496494 | + | 0.868040i | \(0.334620\pi\) |
−0.994091 | + | 0.108549i | \(0.965380\pi\) | |||||||
\(174\) | 150.859i | 0.867008i | ||||||||
\(175\) | 228.562 | + | 37.1836i | 1.30607 | + | 0.212478i | ||||
\(176\) | −192.622 | −1.09444 | ||||||||
\(177\) | −1.67757 | − | 0.854764i | −0.00947779 | − | 0.00482917i | ||||
\(178\) | 137.562 | + | 21.7877i | 0.772819 | + | 0.122403i | ||||
\(179\) | −160.661 | − | 221.131i | −0.897547 | − | 1.23537i | −0.971244 | − | 0.238087i | \(-0.923480\pi\) |
0.0736967 | − | 0.997281i | \(-0.476520\pi\) | |||||||
\(180\) | 10.2681 | − | 63.9624i | 0.0570452 | − | 0.355347i | ||||
\(181\) | 226.401 | + | 164.490i | 1.25083 | + | 0.908784i | 0.998270 | − | 0.0587961i | \(-0.0187262\pi\) |
0.252564 | + | 0.967580i | \(0.418726\pi\) | |||||||
\(182\) | 222.659 | − | 222.659i | 1.22340 | − | 1.22340i | ||||
\(183\) | −13.6481 | − | 86.1707i | −0.0745798 | − | 0.470878i | ||||
\(184\) | 78.9077 | + | 25.6387i | 0.428846 | + | 0.139341i | ||||
\(185\) | −0.603567 | + | 287.939i | −0.00326252 | + | 1.55643i | ||||
\(186\) | −55.8625 | − | 171.927i | −0.300336 | − | 0.924339i | ||||
\(187\) | −2.74098 | − | 5.37948i | −0.0146577 | − | 0.0287673i | ||||
\(188\) | −110.112 | + | 56.1049i | −0.585703 | + | 0.298430i | ||||
\(189\) | 155.861 | − | 50.6424i | 0.824663 | − | 0.267949i | ||||
\(190\) | 35.8225 | + | 0.0750896i | 0.188539 | + | 0.000395208i | ||||
\(191\) | −35.4690 | + | 109.162i | −0.185701 | + | 0.571530i | −0.999960 | − | 0.00897264i | \(-0.997144\pi\) |
0.814258 | + | 0.580503i | \(0.197144\pi\) | |||||||
\(192\) | −123.359 | + | 19.5382i | −0.642495 | + | 0.101761i | ||||
\(193\) | −53.7649 | − | 53.7649i | −0.278575 | − | 0.278575i | 0.553965 | − | 0.832540i | \(-0.313114\pi\) |
−0.832540 | + | 0.553965i | \(0.813114\pi\) | |||||||
\(194\) | −6.13142 | + | 8.43918i | −0.0316053 | + | 0.0435009i | ||||
\(195\) | −227.307 | − | 36.4905i | −1.16568 | − | 0.187131i | ||||
\(196\) | 93.7461 | − | 68.1106i | 0.478297 | − | 0.347503i | ||||
\(197\) | 24.8752 | − | 157.056i | 0.126270 | − | 0.797239i | −0.840541 | − | 0.541748i | \(-0.817763\pi\) |
0.966811 | − | 0.255491i | \(-0.0822372\pi\) | |||||||
\(198\) | −51.5002 | + | 101.075i | −0.260102 | + | 0.510479i | ||||
\(199\) | − | 131.741i | − | 0.662017i | −0.943628 | − | 0.331008i | \(-0.892611\pi\) | ||
0.943628 | − | 0.331008i | \(-0.107389\pi\) | |||||||
\(200\) | −40.3900 | + | 40.0527i | −0.201950 | + | 0.200264i | ||||
\(201\) | −24.6193 | −0.122484 | ||||||||
\(202\) | −183.145 | − | 93.3171i | −0.906659 | − | 0.461966i | ||||
\(203\) | 142.539 | + | 22.5759i | 0.702160 | + | 0.111211i | ||||
\(204\) | −3.92458 | − | 5.40172i | −0.0192381 | − | 0.0264790i | ||||
\(205\) | −9.27096 | + | 9.23217i | −0.0452242 | + | 0.0450350i | ||||
\(206\) | 161.350 | + | 117.228i | 0.783252 | + | 0.569066i | ||||
\(207\) | 106.088 | − | 106.088i | 0.512501 | − | 0.512501i | ||||
\(208\) | 37.1533 | + | 234.577i | 0.178622 | + | 1.12777i | ||||
\(209\) | −26.2788 | − | 8.53849i | −0.125736 | − | 0.0408540i | ||||
\(210\) | −426.201 | − | 139.469i | −2.02953 | − | 0.664140i | ||||
\(211\) | −43.4315 | − | 133.668i | −0.205836 | − | 0.633499i | −0.999678 | − | 0.0253746i | \(-0.991922\pi\) |
0.793842 | − | 0.608124i | \(-0.208078\pi\) | |||||||
\(212\) | 56.5587 | + | 111.003i | 0.266786 | + | 0.523598i | ||||
\(213\) | −320.102 | + | 163.100i | −1.50283 | + | 0.765728i | ||||
\(214\) | −142.291 | + | 46.2332i | −0.664913 | + | 0.216043i | ||||
\(215\) | 16.8586 | + | 52.2579i | 0.0784121 | + | 0.243060i | ||||
\(216\) | −12.4398 | + | 38.2857i | −0.0575916 | + | 0.177249i | ||||
\(217\) | −170.804 | + | 27.0527i | −0.787115 | + | 0.124667i | ||||
\(218\) | −378.671 | − | 378.671i | −1.73702 | − | 1.73702i | ||||
\(219\) | −128.086 | + | 176.295i | −0.584868 | + | 0.805002i | ||||
\(220\) | −144.819 | + | 73.4072i | −0.658270 | + | 0.333669i | ||||
\(221\) | −6.02249 | + | 4.37559i | −0.0272511 | + | 0.0197991i | ||||
\(222\) | 87.2292 | − | 550.743i | 0.392924 | − | 2.48083i | ||||
\(223\) | 152.112 | − | 298.537i | 0.682116 | − | 1.33873i | −0.247027 | − | 0.969009i | \(-0.579454\pi\) |
0.929143 | − | 0.369720i | \(-0.120546\pi\) | |||||||
\(224\) | 378.326i | 1.68896i | ||||||||
\(225\) | 31.3748 | + | 97.9572i | 0.139444 | + | 0.435365i | ||||
\(226\) | 426.958 | 1.88919 | ||||||||
\(227\) | −11.3192 | − | 5.76744i | −0.0498645 | − | 0.0254072i | 0.428880 | − | 0.903361i | \(-0.358908\pi\) |
−0.478745 | + | 0.877954i | \(0.658908\pi\) | |||||||
\(228\) | −30.1810 | − | 4.78020i | −0.132373 | − | 0.0209658i | ||||
\(229\) | 235.268 | + | 323.818i | 1.02737 | + | 1.41405i | 0.906905 | + | 0.421335i | \(0.138438\pi\) |
0.120465 | + | 0.992718i | \(0.461562\pi\) | |||||||
\(230\) | 481.653 | − | 75.2518i | 2.09415 | − | 0.327182i | ||||
\(231\) | 279.837 | + | 203.313i | 1.21141 | + | 0.880144i | ||||
\(232\) | −25.0666 | + | 25.0666i | −0.108046 | + | 0.108046i | ||||
\(233\) | 31.0191 | + | 195.847i | 0.133129 | + | 0.840546i | 0.960376 | + | 0.278707i | \(0.0899059\pi\) |
−0.827247 | + | 0.561839i | \(0.810094\pi\) | |||||||
\(234\) | 133.023 | + | 43.2219i | 0.568475 | + | 0.184709i | ||||
\(235\) | 115.669 | − | 158.504i | 0.492207 | − | 0.674487i | ||||
\(236\) | 0.505925 | + | 1.55708i | 0.00214375 | + | 0.00659778i | ||||
\(237\) | −6.40082 | − | 12.5623i | −0.0270077 | − | 0.0530055i | ||||
\(238\) | −12.9201 | + | 6.58311i | −0.0542861 | + | 0.0276601i | ||||
\(239\) | 403.358 | − | 131.059i | 1.68769 | − | 0.548364i | 0.701313 | − | 0.712853i | \(-0.252598\pi\) |
0.986379 | + | 0.164489i | \(0.0525976\pi\) | |||||||
\(240\) | 274.051 | − | 198.233i | 1.14188 | − | 0.825973i | ||||
\(241\) | 84.5835 | − | 260.321i | 0.350969 | − | 1.08017i | −0.607341 | − | 0.794441i | \(-0.707764\pi\) |
0.958310 | − | 0.285730i | \(-0.0922360\pi\) | |||||||
\(242\) | −38.7309 | + | 6.13437i | −0.160045 | + | 0.0253486i | ||||
\(243\) | 146.294 | + | 146.294i | 0.602034 | + | 0.602034i | ||||
\(244\) | −44.5926 | + | 61.3764i | −0.182756 | + | 0.251543i | ||||
\(245\) | −83.8720 | + | 163.759i | −0.342335 | + | 0.668402i | ||||
\(246\) | 20.4982 | − | 14.8928i | 0.0833261 | − | 0.0605399i | ||||
\(247\) | −5.32955 | + | 33.6494i | −0.0215771 | + | 0.136233i | ||||
\(248\) | 19.2851 | − | 37.8492i | 0.0777626 | − | 0.152618i | ||||
\(249\) | 239.798i | 0.963044i | ||||||||
\(250\) | −105.277 | + | 317.207i | −0.421107 | + | 1.26883i | ||||
\(251\) | 26.5983 | 0.105969 | 0.0529847 | − | 0.998595i | \(-0.483127\pi\) | ||||
0.0529847 | + | 0.998595i | \(0.483127\pi\) | |||||||
\(252\) | 106.930 | + | 54.4834i | 0.424324 | + | 0.216204i | ||||
\(253\) | −371.393 | − | 58.8229i | −1.46796 | − | 0.232501i | ||||
\(254\) | −380.799 | − | 524.125i | −1.49921 | − | 2.06349i | ||||
\(255\) | 9.43589 | + | 4.83277i | 0.0370035 | + | 0.0189520i | ||||
\(256\) | −265.539 | − | 192.925i | −1.03726 | − | 0.753615i | ||||
\(257\) | −337.671 | + | 337.671i | −1.31390 | + | 1.31390i | −0.395376 | + | 0.918520i | \(0.629386\pi\) |
−0.918520 | + | 0.395376i | \(0.870614\pi\) | |||||||
\(258\) | −16.6345 | − | 105.026i | −0.0644749 | − | 0.407079i | ||||
\(259\) | −507.313 | − | 164.836i | −1.95874 | − | 0.636432i | ||||
\(260\) | 117.329 | + | 162.203i | 0.451265 | + | 0.623859i | ||||
\(261\) | 19.8089 | + | 60.9655i | 0.0758961 | + | 0.233584i | ||||
\(262\) | 65.6040 | + | 128.755i | 0.250397 | + | 0.491431i | ||||
\(263\) | 200.339 | − | 102.078i | 0.761744 | − | 0.388128i | −0.0295507 | − | 0.999563i | \(-0.509408\pi\) |
0.791294 | + | 0.611436i | \(0.209408\pi\) | |||||||
\(264\) | −80.8074 | + | 26.2559i | −0.306089 | + | 0.0994543i | ||||
\(265\) | −159.787 | − | 116.604i | −0.602968 | − | 0.440016i | ||||
\(266\) | −20.5072 | + | 63.1147i | −0.0770947 | + | 0.237273i | ||||
\(267\) | 186.315 | − | 29.5094i | 0.697809 | − | 0.110522i | ||||
\(268\) | 15.1378 | + | 15.1378i | 0.0564845 | + | 0.0564845i | ||||
\(269\) | −25.7782 | + | 35.4806i | −0.0958297 | + | 0.131898i | −0.854239 | − | 0.519880i | \(-0.825977\pi\) |
0.758410 | + | 0.651778i | \(0.225977\pi\) | |||||||
\(270\) | 36.5119 | + | 233.696i | 0.135229 | + | 0.865542i | ||||
\(271\) | −281.141 | + | 204.261i | −1.03742 | + | 0.753731i | −0.969781 | − | 0.243979i | \(-0.921547\pi\) |
−0.0676411 | + | 0.997710i | \(0.521547\pi\) | |||||||
\(272\) | 1.71091 | − | 10.8022i | 0.00629010 | − | 0.0397141i | ||||
\(273\) | 193.621 | − | 380.003i | 0.709235 | − | 1.39195i | ||||
\(274\) | − | 410.195i | − | 1.49706i | ||||||
\(275\) | 152.402 | − | 207.924i | 0.554188 | − | 0.756088i | ||||
\(276\) | −415.842 | −1.50668 | ||||||||
\(277\) | 184.061 | + | 93.7837i | 0.664480 | + | 0.338569i | 0.753488 | − | 0.657461i | \(-0.228370\pi\) |
−0.0890082 | + | 0.996031i | \(0.528370\pi\) | |||||||
\(278\) | 443.081 | + | 70.1771i | 1.59382 | + | 0.252436i | ||||
\(279\) | −45.1504 | − | 62.1442i | −0.161829 | − | 0.222739i | ||||
\(280\) | −47.6429 | − | 93.9910i | −0.170153 | − | 0.335682i | ||||
\(281\) | −150.952 | − | 109.673i | −0.537197 | − | 0.390296i | 0.285846 | − | 0.958276i | \(-0.407725\pi\) |
−0.823043 | + | 0.567979i | \(0.807725\pi\) | |||||||
\(282\) | −268.695 | + | 268.695i | −0.952818 | + | 0.952818i | ||||
\(283\) | 1.96244 | + | 12.3904i | 0.00693443 | + | 0.0437823i | 0.990913 | − | 0.134505i | \(-0.0429444\pi\) |
−0.983978 | + | 0.178287i | \(0.942944\pi\) | |||||||
\(284\) | 297.110 | + | 96.5370i | 1.04616 | + | 0.339919i | ||||
\(285\) | 46.1751 | − | 14.8963i | 0.162018 | − | 0.0522676i | ||||
\(286\) | −108.327 | − | 333.396i | −0.378766 | − | 1.16572i | ||||
\(287\) | −11.0039 | − | 21.5963i | −0.0383410 | − | 0.0752484i | ||||
\(288\) | −149.731 | + | 76.2919i | −0.519901 | + | 0.264903i | ||||
\(289\) | −274.529 | + | 89.2000i | −0.949928 | + | 0.308650i | ||||
\(290\) | −64.7803 | + | 197.960i | −0.223380 | + | 0.682622i | ||||
\(291\) | −4.36591 | + | 13.4369i | −0.0150031 | + | 0.0461749i | ||||
\(292\) | 187.157 | − | 29.6428i | 0.640950 | − | 0.101517i | ||||
\(293\) | 253.361 | + | 253.361i | 0.864714 | + | 0.864714i | 0.991881 | − | 0.127167i | \(-0.0405885\pi\) |
−0.127167 | + | 0.991881i | \(0.540589\pi\) | |||||||
\(294\) | 209.428 | − | 288.253i | 0.712339 | − | 0.980451i | ||||
\(295\) | −1.83429 | − | 1.84200i | −0.00621794 | − | 0.00624406i | ||||
\(296\) | 106.005 | − | 77.0169i | 0.358124 | − | 0.260192i | ||||
\(297\) | 28.5406 | − | 180.198i | 0.0960963 | − | 0.606728i | ||||
\(298\) | −290.962 | + | 571.045i | −0.976383 | + | 1.91626i | ||||
\(299\) | 463.631i | 1.55061i | ||||||||
\(300\) | 130.495 | − | 253.478i | 0.434982 | − | 0.844925i | ||||
\(301\) | −101.723 | −0.337949 | ||||||||
\(302\) | 165.375 | + | 84.2630i | 0.547601 | + | 0.279016i | ||||
\(303\) | −274.969 | − | 43.5509i | −0.907489 | − | 0.143732i | ||||
\(304\) | −29.4206 | − | 40.4940i | −0.0967784 | − | 0.133204i | ||||
\(305\) | 19.0932 | − | 118.935i | 0.0626005 | − | 0.389952i | ||||
\(306\) | −5.21083 | − | 3.78589i | −0.0170289 | − | 0.0123722i | ||||
\(307\) | 385.809 | − | 385.809i | 1.25671 | − | 1.25671i | 0.304053 | − | 0.952655i | \(-0.401660\pi\) |
0.952655 | − | 0.304053i | \(-0.0983401\pi\) | |||||||
\(308\) | −47.0526 | − | 297.078i | −0.152768 | − | 0.964539i | ||||
\(309\) | 256.902 | + | 83.4725i | 0.831398 | + | 0.270138i | ||||
\(310\) | 0.523187 | − | 249.593i | 0.00168770 | − | 0.805140i | ||||
\(311\) | 56.4903 | + | 173.859i | 0.181641 | + | 0.559033i | 0.999874 | − | 0.0158533i | \(-0.00504647\pi\) |
−0.818234 | + | 0.574886i | \(0.805046\pi\) | |||||||
\(312\) | 47.5610 | + | 93.3437i | 0.152439 | + | 0.299178i | ||||
\(313\) | 432.433 | − | 220.336i | 1.38158 | − | 0.703948i | 0.404045 | − | 0.914739i | \(-0.367604\pi\) |
0.977531 | + | 0.210791i | \(0.0676038\pi\) | |||||||
\(314\) | −52.1555 | + | 16.9464i | −0.166100 | + | 0.0539693i | ||||
\(315\) | −190.550 | − | 0.399423i | −0.604921 | − | 0.00126801i | ||||
\(316\) | −3.78857 | + | 11.6600i | −0.0119891 | + | 0.0368988i | ||||
\(317\) | −278.457 | + | 44.1033i | −0.878415 | + | 0.139127i | −0.579324 | − | 0.815097i | \(-0.696683\pi\) |
−0.299091 | + | 0.954225i | \(0.596683\pi\) | |||||||
\(318\) | 270.868 | + | 270.868i | 0.851786 | + | 0.851786i | ||||
\(319\) | 94.4343 | − | 129.978i | 0.296032 | − | 0.407453i | ||||
\(320\) | −170.264 | − | 27.3331i | −0.532075 | − | 0.0854160i | ||||
\(321\) | −163.938 | + | 119.108i | −0.510710 | + | 0.371053i | ||||
\(322\) | −141.277 | + | 891.987i | −0.438748 | + | 2.77015i | ||||
\(323\) | 0.712251 | − | 1.39787i | 0.00220511 | − | 0.00432777i | ||||
\(324\) | − | 318.371i | − | 0.982628i | ||||||
\(325\) | −282.607 | − | 145.491i | −0.869561 | − | 0.447665i | ||||
\(326\) | 193.940 | 0.594909 | ||||||||
\(327\) | −646.262 | − | 329.287i | −1.97633 | − | 1.00699i | ||||
\(328\) | 5.88053 | + | 0.931384i | 0.0179284 | + | 0.00283959i | ||||
\(329\) | 213.665 | + | 294.084i | 0.649436 | + | 0.893873i | ||||
\(330\) | −353.750 | + | 352.270i | −1.07197 | + | 1.06749i | ||||
\(331\) | 172.973 | + | 125.672i | 0.522576 | + | 0.379674i | 0.817573 | − | 0.575824i | \(-0.195319\pi\) |
−0.294997 | + | 0.955498i | \(0.595319\pi\) | |||||||
\(332\) | 147.446 | − | 147.446i | 0.444116 | − | 0.444116i | ||||
\(333\) | −37.0653 | − | 234.021i | −0.111307 | − | 0.702765i | ||||
\(334\) | 76.8098 | + | 24.9570i | 0.229969 | + | 0.0747216i | ||||
\(335\) | −32.3058 | − | 10.5717i | −0.0964353 | − | 0.0315574i | ||||
\(336\) | 193.626 | + | 595.919i | 0.576268 | + | 1.77357i | ||||
\(337\) | 38.2515 | + | 75.0727i | 0.113506 | + | 0.222768i | 0.940770 | − | 0.339045i | \(-0.110104\pi\) |
−0.827264 | + | 0.561813i | \(0.810104\pi\) | |||||||
\(338\) | 17.4976 | − | 8.91548i | 0.0517681 | − | 0.0263771i | ||||
\(339\) | 549.973 | − | 178.697i | 1.62234 | − | 0.527130i | ||||
\(340\) | −2.83036 | − | 8.77348i | −0.00832458 | − | 0.0258044i | ||||
\(341\) | −59.4920 | + | 183.098i | −0.174463 | + | 0.536943i | ||||
\(342\) | −29.1145 | + | 4.61128i | −0.0851301 | + | 0.0134833i | ||||
\(343\) | 79.9229 | + | 79.9229i | 0.233011 | + | 0.233011i | ||||
\(344\) | 14.6871 | − | 20.2150i | 0.0426949 | − | 0.0587645i | ||||
\(345\) | 588.932 | − | 298.522i | 1.70705 | − | 0.865282i | ||||
\(346\) | 410.165 | − | 298.002i | 1.18545 | − | 0.861278i | ||||
\(347\) | −22.5157 | + | 142.159i | −0.0648868 | + | 0.409679i | 0.933770 | + | 0.357873i | \(0.116498\pi\) |
−0.998657 | + | 0.0518065i | \(0.983502\pi\) | |||||||
\(348\) | 80.6627 | − | 158.310i | 0.231789 | − | 0.454912i | ||||
\(349\) | − | 593.244i | − | 1.69984i | −0.526913 | − | 0.849919i | \(-0.676651\pi\) | ||
0.526913 | − | 0.849919i | \(-0.323349\pi\) | |||||||
\(350\) | −499.379 | − | 366.028i | −1.42680 | − | 1.04580i | ||||
\(351\) | −224.952 | −0.640889 | ||||||||
\(352\) | 375.272 | + | 191.211i | 1.06611 | + | 0.543212i | ||||
\(353\) | 23.8928 | + | 3.78424i | 0.0676849 | + | 0.0107202i | 0.190185 | − | 0.981748i | \(-0.439091\pi\) |
−0.122500 | + | 0.992468i | \(0.539091\pi\) | |||||||
\(354\) | 2.95898 | + | 4.07268i | 0.00835870 | + | 0.0115048i | ||||
\(355\) | −490.080 | + | 76.5684i | −1.38051 | + | 0.215686i | ||||
\(356\) | −132.706 | − | 96.4163i | −0.372769 | − | 0.270832i | ||||
\(357\) | −13.8873 | + | 13.8873i | −0.0389001 | + | 0.0389001i | ||||
\(358\) | 114.327 | + | 721.831i | 0.319348 | + | 2.01629i | ||||
\(359\) | −35.0590 | − | 11.3914i | −0.0976575 | − | 0.0317308i | 0.259781 | − | 0.965668i | \(-0.416350\pi\) |
−0.357438 | + | 0.933937i | \(0.616350\pi\) | |||||||
\(360\) | 27.5916 | − | 37.8097i | 0.0766433 | − | 0.105027i | ||||
\(361\) | 109.336 | + | 336.503i | 0.302871 | + | 0.932141i | ||||
\(362\) | −339.696 | − | 666.692i | −0.938388 | − | 1.84169i | ||||
\(363\) | −47.3225 | + | 24.1120i | −0.130365 | + | 0.0664243i | ||||
\(364\) | −352.709 | + | 114.602i | −0.968980 | + | 0.314841i | ||||
\(365\) | −243.780 | + | 176.337i | −0.667889 | + | 0.483114i | ||||
\(366\) | −72.0852 | + | 221.855i | −0.196954 | + | 0.606162i | ||||
\(367\) | 235.695 | − | 37.3305i | 0.642221 | − | 0.101718i | 0.173175 | − | 0.984891i | \(-0.444598\pi\) |
0.469047 | + | 0.883173i | \(0.344598\pi\) | |||||||
\(368\) | −481.652 | − | 481.652i | −1.30884 | − | 1.30884i | ||||
\(369\) | 6.32823 | − | 8.71006i | 0.0171497 | − | 0.0236045i | ||||
\(370\) | 350.958 | − | 685.238i | 0.948534 | − | 1.85200i | ||||
\(371\) | 296.463 | − | 215.393i | 0.799091 | − | 0.580574i | ||||
\(372\) | −33.3061 | + | 210.287i | −0.0895326 | + | 0.565286i | ||||
\(373\) | −150.764 | + | 295.891i | −0.404193 | + | 0.793274i | −0.999951 | − | 0.00988999i | \(-0.996852\pi\) |
0.595758 | + | 0.803164i | \(0.296852\pi\) | |||||||
\(374\) | 16.1430i | 0.0431630i | ||||||||
\(375\) | −2.84659 | + | 452.663i | −0.00759092 | + | 1.20710i | ||||
\(376\) | −89.2919 | −0.237478 | ||||||||
\(377\) | −176.503 | − | 89.9325i | −0.468176 | − | 0.238548i | ||||
\(378\) | −432.789 | − | 68.5470i | −1.14494 | − | 0.181341i | ||||
\(379\) | 303.312 | + | 417.473i | 0.800296 | + | 1.10151i | 0.992749 | + | 0.120206i | \(0.0383556\pi\) |
−0.192453 | + | 0.981306i | \(0.561644\pi\) | |||||||
\(380\) | −37.5514 | − | 19.2327i | −0.0988195 | − | 0.0506122i | ||||
\(381\) | −709.880 | − | 515.758i | −1.86320 | − | 1.35370i | ||||
\(382\) | 217.007 | − | 217.007i | 0.568082 | − | 0.568082i | ||||
\(383\) | −91.6131 | − | 578.423i | −0.239199 | − | 1.51024i | −0.756248 | − | 0.654286i | \(-0.772969\pi\) |
0.517049 | − | 0.855956i | \(-0.327031\pi\) | |||||||
\(384\) | −245.089 | − | 79.6344i | −0.638254 | − | 0.207381i | ||||
\(385\) | 279.902 | + | 386.955i | 0.727018 | + | 1.00508i | ||||
\(386\) | 62.8232 | + | 193.350i | 0.162754 | + | 0.500907i | ||||
\(387\) | −20.5130 | − | 40.2591i | −0.0530053 | − | 0.104029i | ||||
\(388\) | 10.9465 | − | 5.57754i | 0.0282128 | − | 0.0143751i | ||||
\(389\) | −268.058 | + | 87.0975i | −0.689096 | + | 0.223901i | −0.632573 | − | 0.774500i | \(-0.718001\pi\) |
−0.0565228 | + | 0.998401i | \(0.518001\pi\) | |||||||
\(390\) | 497.230 | + | 362.853i | 1.27495 | + | 0.930393i | ||||
\(391\) | 6.59756 | − | 20.3052i | 0.0168736 | − | 0.0519315i | ||||
\(392\) | 82.6939 | − | 13.0974i | 0.210954 | − | 0.0334118i | ||||
\(393\) | 138.394 | + | 138.394i | 0.352148 | + | 0.352148i | ||||
\(394\) | −249.906 | + | 343.967i | −0.634280 | + | 0.873012i | ||||
\(395\) | −3.00490 | − | 19.2331i | −0.00760735 | − | 0.0486913i | ||||
\(396\) | 108.087 | − | 78.5298i | 0.272947 | − | 0.198308i | ||||
\(397\) | 91.6244 | − | 578.494i | 0.230792 | − | 1.45716i | −0.551460 | − | 0.834201i | \(-0.685929\pi\) |
0.782252 | − | 0.622962i | \(-0.214071\pi\) | |||||||
\(398\) | −159.916 | + | 313.853i | −0.401800 | + | 0.788576i | ||||
\(399\) | 89.8822i | 0.225269i | ||||||||
\(400\) | 444.738 | − | 142.446i | 1.11184 | − | 0.356114i | ||||
\(401\) | 209.284 | 0.521904 | 0.260952 | − | 0.965352i | \(-0.415963\pi\) | ||||
0.260952 | + | 0.965352i | \(0.415963\pi\) | |||||||
\(402\) | 58.6516 | + | 29.8845i | 0.145899 | + | 0.0743395i | ||||
\(403\) | 234.453 | + | 37.1337i | 0.581769 | + | 0.0921431i | ||||
\(404\) | 142.294 | + | 195.851i | 0.352213 | + | 0.484780i | ||||
\(405\) | 228.550 | + | 450.890i | 0.564322 | + | 1.11331i | ||||
\(406\) | −312.172 | − | 226.806i | −0.768896 | − | 0.558636i | ||||
\(407\) | −419.907 | + | 419.907i | −1.03171 | + | 1.03171i | ||||
\(408\) | −0.754683 | − | 4.76488i | −0.00184971 | − | 0.0116786i | ||||
\(409\) | −389.688 | − | 126.617i | −0.952782 | − | 0.309578i | −0.208937 | − | 0.977929i | \(-0.567000\pi\) |
−0.743846 | + | 0.668351i | \(0.767000\pi\) | |||||||
\(410\) | 33.2932 | − | 10.7405i | 0.0812030 | − | 0.0261964i | ||||
\(411\) | −171.681 | − | 528.380i | −0.417716 | − | 1.28560i | ||||
\(412\) | −106.638 | − | 209.289i | −0.258830 | − | 0.507983i | ||||
\(413\) | 4.29086 | − | 2.18630i | 0.0103895 | − | 0.00529371i | ||||
\(414\) | −381.514 | + | 123.961i | −0.921531 | + | 0.299424i | ||||
\(415\) | −102.971 | + | 314.667i | −0.248123 | + | 0.758234i | ||||
\(416\) | 160.475 | − | 493.890i | 0.385757 | − | 1.18724i | ||||
\(417\) | 600.112 | − | 95.0485i | 1.43912 | − | 0.227934i | ||||
\(418\) | 52.2405 | + | 52.2405i | 0.124977 | + | 0.124977i | ||||
\(419\) | 169.332 | − | 233.065i | 0.404134 | − | 0.556242i | −0.557642 | − | 0.830082i | \(-0.688294\pi\) |
0.961775 | + | 0.273840i | \(0.0882937\pi\) | |||||||
\(420\) | 372.676 | + | 374.241i | 0.887323 | + | 0.891051i | ||||
\(421\) | 266.227 | − | 193.425i | 0.632368 | − | 0.459442i | −0.224852 | − | 0.974393i | \(-0.572190\pi\) |
0.857220 | + | 0.514951i | \(0.172190\pi\) | |||||||
\(422\) | −58.7866 | + | 371.164i | −0.139305 | + | 0.879535i | ||||
\(423\) | −73.3037 | + | 143.867i | −0.173295 | + | 0.340110i | ||||
\(424\) | 90.0142i | 0.212298i | ||||||||
\(425\) | 10.3067 | + | 10.3935i | 0.0242511 | + | 0.0244553i | ||||
\(426\) | 960.575 | 2.25487 | ||||||||
\(427\) | 198.831 | + | 101.310i | 0.465647 | + | 0.237259i | ||||
\(428\) | 174.039 | + | 27.5650i | 0.406632 | + | 0.0644042i | ||||
\(429\) | −279.076 | − | 384.116i | −0.650528 | − | 0.895375i | ||||
\(430\) | 23.2710 | − | 144.960i | 0.0541187 | − | 0.337117i | ||||
\(431\) | −264.075 | − | 191.862i | −0.612703 | − | 0.445155i | 0.237662 | − | 0.971348i | \(-0.423619\pi\) |
−0.850365 | + | 0.526193i | \(0.823619\pi\) | |||||||
\(432\) | 233.695 | − | 233.695i | 0.540962 | − | 0.540962i | ||||
\(433\) | −34.0136 | − | 214.753i | −0.0785532 | − | 0.495966i | −0.995327 | − | 0.0965593i | \(-0.969216\pi\) |
0.916774 | − | 0.399406i | \(-0.130784\pi\) | |||||||
\(434\) | 439.752 | + | 142.884i | 1.01325 | + | 0.329226i | ||||
\(435\) | −0.591346 | + | 282.109i | −0.00135942 | + | 0.648527i | ||||
\(436\) | 194.901 | + | 599.843i | 0.447020 | + | 1.37579i | ||||
\(437\) | −44.3596 | − | 87.0606i | −0.101509 | − | 0.199223i | ||||
\(438\) | 519.144 | − | 264.517i | 1.18526 | − | 0.603920i | ||||
\(439\) | −221.343 | + | 71.9188i | −0.504199 | + | 0.163824i | −0.550062 | − | 0.835124i | \(-0.685396\pi\) |
0.0458635 | + | 0.998948i | \(0.485396\pi\) | |||||||
\(440\) | −117.311 | − | 0.245903i | −0.266617 | − | 0.000558871i | ||||
\(441\) | 46.7846 | − | 143.988i | 0.106088 | − | 0.326504i | ||||
\(442\) | 19.6590 | − | 3.11368i | 0.0444774 | − | 0.00704453i | ||||
\(443\) | −211.710 | − | 211.710i | −0.477901 | − | 0.477901i | 0.426559 | − | 0.904460i | \(-0.359726\pi\) |
−0.904460 | + | 0.426559i | \(0.859726\pi\) | |||||||
\(444\) | −386.013 | + | 531.301i | −0.869398 | + | 1.19662i | ||||
\(445\) | 257.157 | + | 41.2825i | 0.577882 | + | 0.0927696i | ||||
\(446\) | −724.766 | + | 526.573i | −1.62504 | + | 1.18066i | ||||
\(447\) | −135.791 | + | 857.353i | −0.303784 | + | 1.91802i | ||||
\(448\) | 145.031 | − | 284.640i | 0.323731 | − | 0.635357i | ||||
\(449\) | 184.740i | 0.411448i | 0.978610 | + | 0.205724i | \(0.0659549\pi\) | ||||
−0.978610 | + | 0.205724i | \(0.934045\pi\) | |||||||
\(450\) | 44.1612 | − | 271.453i | 0.0981360 | − | 0.603228i | ||||
\(451\) | −26.9834 | −0.0598302 | ||||||||
\(452\) | −448.043 | − | 228.289i | −0.991245 | − | 0.505065i | ||||
\(453\) | 248.290 | + | 39.3253i | 0.548102 | + | 0.0868109i | ||||
\(454\) | 19.9654 | + | 27.4800i | 0.0439767 | + | 0.0605287i | ||||
\(455\) | 417.249 | − | 415.504i | 0.917032 | − | 0.913195i | ||||
\(456\) | −17.8620 | − | 12.9775i | −0.0391710 | − | 0.0284594i | ||||
\(457\) | −307.584 | + | 307.584i | −0.673051 | + | 0.673051i | −0.958418 | − | 0.285367i | \(-0.907884\pi\) |
0.285367 | + | 0.958418i | \(0.407884\pi\) | |||||||
\(458\) | −167.417 | − | 1057.03i | −0.365539 | − | 2.30792i | ||||
\(459\) | 9.85200 | + | 3.20111i | 0.0214641 | + | 0.00697410i | ||||
\(460\) | −545.676 | − | 178.566i | −1.18625 | − | 0.388188i | ||||
\(461\) | 216.873 | + | 667.468i | 0.470441 | + | 1.44787i | 0.852009 | + | 0.523528i | \(0.175384\pi\) |
−0.381567 | + | 0.924341i | \(0.624616\pi\) | |||||||
\(462\) | −419.872 | − | 824.046i | −0.908815 | − | 1.78365i | ||||
\(463\) | −772.932 | + | 393.828i | −1.66940 | + | 0.850601i | −0.675871 | + | 0.737020i | \(0.736232\pi\) |
−0.993529 | + | 0.113581i | \(0.963768\pi\) | |||||||
\(464\) | 276.791 | − | 89.9348i | 0.596532 | − | 0.193825i | ||||
\(465\) | −103.790 | − | 321.725i | −0.223204 | − | 0.691882i | ||||
\(466\) | 163.834 | − | 504.229i | 0.351575 | − | 1.08204i | ||||
\(467\) | 428.955 | − | 67.9398i | 0.918534 | − | 0.145481i | 0.320773 | − | 0.947156i | \(-0.396057\pi\) |
0.597761 | + | 0.801675i | \(0.296057\pi\) | |||||||
\(468\) | −116.482 | − | 116.482i | −0.248894 | − | 0.248894i | ||||
\(469\) | 37.0133 | − | 50.9444i | 0.0789195 | − | 0.108623i | ||||
\(470\) | −467.965 | + | 237.206i | −0.995671 | + | 0.504694i | ||||
\(471\) | −60.0899 | + | 43.6579i | −0.127579 | + | 0.0926919i | ||||
\(472\) | −0.185052 | + | 1.16837i | −0.000392059 | + | 0.00247536i | ||||
\(473\) | −51.4119 | + | 100.901i | −0.108693 | + | 0.213322i | ||||
\(474\) | 37.6975i | 0.0795306i | ||||||||
\(475\) | 66.9883 | + | 0.280837i | 0.141028 | + | 0.000591237i | ||||
\(476\) | 17.0780 | 0.0358782 | ||||||||
\(477\) | 145.030 | + | 73.8966i | 0.304047 | + | 0.154920i | ||||
\(478\) | −1120.03 | − | 177.395i | −2.34315 | − | 0.371119i | ||||
\(479\) | −47.2284 | − | 65.0044i | −0.0985980 | − | 0.135709i | 0.756867 | − | 0.653568i | \(-0.226729\pi\) |
−0.855465 | + | 0.517860i | \(0.826729\pi\) | |||||||
\(480\) | −730.695 | + | 114.161i | −1.52228 | + | 0.237836i | ||||
\(481\) | 592.359 | + | 430.374i | 1.23151 | + | 0.894748i | ||||
\(482\) | −517.502 | + | 517.502i | −1.07366 | + | 1.07366i | ||||
\(483\) | 191.347 | + | 1208.12i | 0.396163 | + | 2.50127i | ||||
\(484\) | 43.9235 | + | 14.2716i | 0.0907511 | + | 0.0294868i | ||||
\(485\) | −11.4989 | + | 15.7574i | −0.0237091 | + | 0.0324894i | ||||
\(486\) | −170.942 | − | 526.104i | −0.351732 | − | 1.08252i | ||||
\(487\) | −213.899 | − | 419.801i | −0.439218 | − | 0.862014i | −0.999433 | − | 0.0336667i | \(-0.989282\pi\) |
0.560215 | − | 0.828347i | \(-0.310718\pi\) | |||||||
\(488\) | −48.8408 | + | 24.8856i | −0.100084 | + | 0.0509951i | ||||
\(489\) | 249.818 | − | 81.1709i | 0.510876 | − | 0.165994i | ||||
\(490\) | 398.593 | − | 288.320i | 0.813455 | − | 0.588408i | ||||
\(491\) | 105.330 | − | 324.171i | 0.214520 | − | 0.660226i | −0.784667 | − | 0.619918i | \(-0.787166\pi\) |
0.999187 | − | 0.0403083i | \(-0.0128340\pi\) | |||||||
\(492\) | −29.4735 | + | 4.66815i | −0.0599055 | + | 0.00948811i | ||||
\(493\) | 6.45035 | + | 6.45035i | 0.0130839 | + | 0.0130839i | ||||
\(494\) | 53.5427 | − | 73.6952i | 0.108386 | − | 0.149181i | ||||
\(495\) | −96.7024 | + | 188.810i | −0.195358 | + | 0.381434i | ||||
\(496\) | −282.142 | + | 204.989i | −0.568836 | + | 0.413283i | ||||
\(497\) | 143.749 | − | 907.593i | 0.289233 | − | 1.82614i | ||||
\(498\) | 291.082 | − | 571.281i | 0.584503 | − | 1.14715i | ||||
\(499\) | 403.498i | 0.808614i | 0.914623 | + | 0.404307i | \(0.132487\pi\) | ||||
−0.914623 | + | 0.404307i | \(0.867513\pi\) | |||||||
\(500\) | 280.083 | − | 276.582i | 0.560166 | − | 0.553164i | ||||
\(501\) | 109.386 | 0.218335 | ||||||||
\(502\) | −63.3664 | − | 32.2868i | −0.126228 | − | 0.0643163i | ||||
\(503\) | 217.934 | + | 34.5173i | 0.433268 | + | 0.0686229i | 0.369259 | − | 0.929326i | \(-0.379611\pi\) |
0.0640087 | + | 0.997949i | \(0.479611\pi\) | |||||||
\(504\) | 50.9676 | + | 70.1508i | 0.101126 | + | 0.139188i | ||||
\(505\) | −342.119 | − | 175.222i | −0.677462 | − | 0.346975i | ||||
\(506\) | 813.383 | + | 590.957i | 1.60748 | + | 1.16790i | ||||
\(507\) | 18.8076 | − | 18.8076i | 0.0370958 | − | 0.0370958i | ||||
\(508\) | 119.361 | + | 753.618i | 0.234963 | + | 1.48350i | ||||
\(509\) | 207.797 | + | 67.5173i | 0.408245 | + | 0.132647i | 0.505938 | − | 0.862570i | \(-0.331146\pi\) |
−0.0976931 | + | 0.995217i | \(0.531146\pi\) | |||||||
\(510\) | −16.6132 | − | 22.9672i | −0.0325749 | − | 0.0450337i | ||||
\(511\) | −172.238 | − | 530.095i | −0.337061 | − | 1.03737i | ||||
\(512\) | 269.194 | + | 528.322i | 0.525769 | + | 1.03188i | ||||
\(513\) | 42.2414 | − | 21.5231i | 0.0823420 | − | 0.0419553i | ||||
\(514\) | 1214.34 | − | 394.562i | 2.36252 | − | 0.767630i | ||||
\(515\) | 301.268 | + | 219.850i | 0.584986 | + | 0.426893i | ||||
\(516\) | −38.7003 | + | 119.107i | −0.0750006 | + | 0.230828i | ||||
\(517\) | 399.698 | − | 63.3060i | 0.773111 | − | 0.122449i | ||||
\(518\) | 1008.51 | + | 1008.51i | 1.94692 | + | 1.94692i | ||||
\(519\) | 403.617 | − | 555.531i | 0.777682 | − | 1.07039i | ||||
\(520\) | 22.3278 | + | 142.910i | 0.0429381 | + | 0.274827i | ||||
\(521\) | −554.789 | + | 403.078i | −1.06485 | + | 0.773662i | −0.974980 | − | 0.222291i | \(-0.928647\pi\) |
−0.0898743 | + | 0.995953i | \(0.528647\pi\) | |||||||
\(522\) | 26.8123 | − | 169.286i | 0.0513645 | − | 0.324303i | ||||
\(523\) | 103.663 | − | 203.451i | 0.198209 | − | 0.389007i | −0.770413 | − | 0.637545i | \(-0.779950\pi\) |
0.968622 | + | 0.248538i | \(0.0799501\pi\) | |||||||
\(524\) | − | 170.191i | − | 0.324792i | ||||||
\(525\) | −796.455 | − | 262.481i | −1.51706 | − | 0.499963i | ||||
\(526\) | −601.184 | −1.14294 | ||||||||
\(527\) | −9.73968 | − | 4.96262i | −0.0184814 | − | 0.00941673i | ||||
\(528\) | 688.969 | + | 109.122i | 1.30487 | + | 0.206670i | ||||
\(529\) | −470.643 | − | 647.784i | −0.889684 | − | 1.22455i | ||||
\(530\) | 239.125 | + | 471.751i | 0.451179 | + | 0.890096i | ||||
\(531\) | 1.73056 | + | 1.25732i | 0.00325905 | + | 0.00236784i | ||||
\(532\) | 55.2666 | − | 55.2666i | 0.103885 | − | 0.103885i | ||||
\(533\) | 5.20461 | + | 32.8606i | 0.00976475 | + | 0.0616522i | ||||
\(534\) | −479.687 | − | 155.860i | −0.898290 | − | 0.291872i | ||||
\(535\) | −266.268 | + | 85.8992i | −0.497698 | + | 0.160559i | ||||
\(536\) | 4.77990 | + | 14.7110i | 0.00891773 | + | 0.0274460i | ||||
\(537\) | 449.378 | + | 881.954i | 0.836831 | + | 1.64237i | ||||
\(538\) | 104.481 | − | 53.2359i | 0.194203 | − | 0.0989514i | ||||
\(539\) | −360.878 | + | 117.256i | −0.669533 | + | 0.217544i | ||||
\(540\) | 86.6396 | − | 264.760i | 0.160444 | − | 0.490296i | ||||
\(541\) | −137.435 | + | 422.980i | −0.254038 | + | 0.781849i | 0.739979 | + | 0.672629i | \(0.234835\pi\) |
−0.994018 | + | 0.109220i | \(0.965165\pi\) | |||||||
\(542\) | 917.721 | − | 145.353i | 1.69321 | − | 0.268178i | ||||
\(543\) | −716.604 | − | 716.604i | −1.31971 | − | 1.31971i | ||||
\(544\) | −14.0563 | + | 19.3469i | −0.0258388 | + | 0.0355641i | ||||
\(545\) | −706.637 | − | 709.606i | −1.29658 | − | 1.30203i | ||||
\(546\) | −922.544 | + | 670.268i | −1.68964 | + | 1.22760i | ||||
\(547\) | −64.1848 | + | 405.247i | −0.117340 | + | 0.740854i | 0.856924 | + | 0.515443i | \(0.172373\pi\) |
−0.974264 | + | 0.225411i | \(0.927627\pi\) | |||||||
\(548\) | −219.326 | + | 430.452i | −0.400231 | + | 0.785497i | ||||
\(549\) | 99.1217i | 0.180550i | ||||||||
\(550\) | −615.465 | + | 310.352i | −1.11903 | + | 0.564276i | ||||
\(551\) | 41.7482 | 0.0757681 | ||||||||
\(552\) | −267.712 | − | 136.406i | −0.484985 | − | 0.247112i | ||||
\(553\) | 35.6182 | + | 5.64137i | 0.0644091 | + | 0.0102014i | ||||
\(554\) | −324.656 | − | 446.850i | −0.586021 | − | 0.806589i | ||||
\(555\) | 165.279 | − | 1029.56i | 0.297800 | − | 1.85506i | ||||
\(556\) | −427.439 | − | 310.553i | −0.768775 | − | 0.558548i | ||||
\(557\) | 437.906 | − | 437.906i | 0.786186 | − | 0.786186i | −0.194680 | − | 0.980867i | \(-0.562367\pi\) |
0.980867 | + | 0.194680i | \(0.0623670\pi\) | |||||||
\(558\) | 32.1291 | + | 202.855i | 0.0575791 | + | 0.363540i | ||||
\(559\) | 132.795 | + | 43.1477i | 0.237558 | + | 0.0771874i | ||||
\(560\) | −1.81343 | + | 865.121i | −0.00323827 | + | 1.54486i | ||||
\(561\) | 6.75640 | + | 20.7941i | 0.0120435 | + | 0.0370661i | ||||
\(562\) | 226.492 | + | 444.515i | 0.403010 | + | 0.790952i | ||||
\(563\) | −195.369 | + | 99.5452i | −0.347013 | + | 0.176812i | −0.618806 | − | 0.785544i | \(-0.712383\pi\) |
0.271793 | + | 0.962356i | \(0.412383\pi\) | |||||||
\(564\) | 425.632 | − | 138.296i | 0.754666 | − | 0.245206i | ||||
\(565\) | 798.418 | + | 1.67361i | 1.41313 | + | 0.00296214i | ||||
\(566\) | 10.3650 | − | 31.9003i | 0.0183128 | − | 0.0563610i | ||||
\(567\) | −924.941 | + | 146.496i | −1.63129 | + | 0.258371i | ||||
\(568\) | 159.608 | + | 159.608i | 0.281000 | + | 0.281000i | ||||
\(569\) | 297.903 | − | 410.029i | 0.523556 | − | 0.720613i | −0.462575 | − | 0.886580i | \(-0.653074\pi\) |
0.986131 | + | 0.165967i | \(0.0530744\pi\) | |||||||
\(570\) | −128.087 | − | 20.5623i | −0.224714 | − | 0.0360742i | ||||
\(571\) | 152.983 | − | 111.149i | 0.267921 | − | 0.194656i | −0.445711 | − | 0.895177i | \(-0.647049\pi\) |
0.713632 | + | 0.700521i | \(0.247049\pi\) | |||||||
\(572\) | −64.5864 | + | 407.782i | −0.112913 | + | 0.712906i | ||||
\(573\) | 188.706 | − | 370.357i | 0.329330 | − | 0.646347i | ||||
\(574\) | 64.8070i | 0.112904i | ||||||||
\(575\) | 900.995 | − | 138.834i | 1.56695 | − | 0.241451i | ||||
\(576\) | 141.899 | 0.246353 | ||||||||
\(577\) | −334.217 | − | 170.292i | −0.579233 | − | 0.295134i | 0.139722 | − | 0.990191i | \(-0.455379\pi\) |
−0.718955 | + | 0.695057i | \(0.755379\pi\) | |||||||
\(578\) | 762.300 | + | 120.736i | 1.31886 | + | 0.208887i | ||||
\(579\) | 161.848 | + | 222.764i | 0.279530 | + | 0.384740i | ||||
\(580\) | 173.826 | − | 173.099i | 0.299701 | − | 0.298447i | ||||
\(581\) | −496.211 | − | 360.519i | −0.854064 | − | 0.620514i | ||||
\(582\) | 26.7117 | − | 26.7117i | 0.0458963 | − | 0.0458963i | ||||
\(583\) | −63.8181 | − | 402.932i | −0.109465 | − | 0.691135i | ||||
\(584\) | 130.212 | + | 42.3085i | 0.222966 | + | 0.0724460i | ||||
\(585\) | 248.586 | + | 81.3470i | 0.424934 | + | 0.139055i | ||||
\(586\) | −296.047 | − | 911.140i | −0.505200 | − | 1.55485i | ||||
\(587\) | 133.912 | + | 262.818i | 0.228130 | + | 0.447730i | 0.976490 | − | 0.215562i | \(-0.0691585\pi\) |
−0.748360 | + | 0.663293i | \(0.769158\pi\) | |||||||
\(588\) | −373.895 | + | 190.509i | −0.635877 | + | 0.323995i | ||||
\(589\) | −47.5784 | + | 15.4592i | −0.0807782 | + | 0.0262464i | ||||
\(590\) | 2.13398 | + | 6.61486i | 0.00361691 | + | 0.0112116i | ||||
\(591\) | −177.947 | + | 547.665i | −0.301095 | + | 0.926675i | ||||
\(592\) | −1062.48 | + | 168.281i | −1.79474 | + | 0.284258i | ||||
\(593\) | −482.975 | − | 482.975i | −0.814460 | − | 0.814460i | 0.170839 | − | 0.985299i | \(-0.445352\pi\) |
−0.985299 | + | 0.170839i | \(0.945352\pi\) | |||||||
\(594\) | −286.730 | + | 394.650i | −0.482711 | + | 0.664394i | ||||
\(595\) | −24.1866 | + | 12.2599i | −0.0406497 | + | 0.0206048i | ||||
\(596\) | 610.662 | − | 443.672i | 1.02460 | − | 0.744417i | ||||
\(597\) | −74.6325 | + | 471.211i | −0.125013 | + | 0.789299i | ||||
\(598\) | 562.786 | − | 1104.53i | 0.941114 | − | 1.84704i | ||||
\(599\) | 549.893i | 0.918019i | 0.888431 | + | 0.459010i | \(0.151796\pi\) | ||||
−0.888431 | + | 0.459010i | \(0.848204\pi\) | |||||||
\(600\) | 167.157 | − | 120.379i | 0.278594 | − | 0.200632i | ||||
\(601\) | 479.442 | 0.797740 | 0.398870 | − | 0.917007i | \(-0.369402\pi\) | ||||
0.398870 | + | 0.917007i | \(0.369402\pi\) | |||||||
\(602\) | 242.339 | + | 123.478i | 0.402556 | + | 0.205112i | ||||
\(603\) | 27.6264 | + | 4.37559i | 0.0458149 | + | 0.00725636i | ||||
\(604\) | −128.488 | − | 176.849i | −0.212728 | − | 0.292796i | ||||
\(605\) | −72.4514 | + | 11.3195i | −0.119754 | + | 0.0187100i | ||||
\(606\) | 602.207 | + | 437.529i | 0.993741 | + | 0.721995i | ||||
\(607\) | −247.960 | + | 247.960i | −0.408502 | + | 0.408502i | −0.881216 | − | 0.472714i | \(-0.843274\pi\) |
0.472714 | + | 0.881216i | \(0.343274\pi\) | |||||||
\(608\) | 17.1208 | + | 108.097i | 0.0281593 | + | 0.177791i | ||||
\(609\) | −497.041 | − | 161.498i | −0.816159 | − | 0.265186i | ||||
\(610\) | −189.858 | + | 260.168i | −0.311243 | + | 0.426506i | ||||
\(611\) | −154.189 | − | 474.546i | −0.252355 | − | 0.776670i | ||||
\(612\) | 3.44390 | + | 6.75903i | 0.00562728 | + | 0.0110442i | ||||
\(613\) | 589.854 | − | 300.546i | 0.962242 | − | 0.490287i | 0.0990057 | − | 0.995087i | \(-0.468434\pi\) |
0.863236 | + | 0.504800i | \(0.168434\pi\) | |||||||
\(614\) | −1387.45 | + | 450.810i | −2.25969 | + | 0.734219i | ||||
\(615\) | 38.3904 | − | 27.7695i | 0.0624234 | − | 0.0451536i | ||||
\(616\) | 67.1570 | − | 206.688i | 0.109021 | − | 0.335532i | ||||
\(617\) | −516.552 | + | 81.8137i | −0.837199 | + | 0.132599i | −0.560290 | − | 0.828297i | \(-0.689310\pi\) |
−0.276909 | + | 0.960896i | \(0.589310\pi\) | |||||||
\(618\) | −510.705 | − | 510.705i | −0.826383 | − | 0.826383i | ||||
\(619\) | −646.583 | + | 889.945i | −1.04456 | + | 1.43771i | −0.151130 | + | 0.988514i | \(0.548291\pi\) |
−0.893431 | + | 0.449201i | \(0.851709\pi\) | |||||||
\(620\) | −134.004 | + | 261.640i | −0.216135 | + | 0.422000i | ||||
\(621\) | 521.952 | − | 379.220i | 0.840502 | − | 0.610660i | ||||
\(622\) | 76.4623 | − | 482.764i | 0.122930 | − | 0.776148i | ||||
\(623\) | −219.048 | + | 429.905i | −0.351601 | + | 0.690056i | ||||
\(624\) | − | 860.080i | − | 1.37833i | ||||||
\(625\) | −198.113 | + | 592.770i | −0.316980 | + | 0.948432i | ||||
\(626\) | −1297.66 | −2.07294 | ||||||||
\(627\) | 89.1566 | + | 45.4275i | 0.142195 | + | 0.0724522i | ||||
\(628\) | 63.7922 | + | 10.1037i | 0.101580 | + | 0.0160887i | ||||
\(629\) | −19.8187 | − | 27.2780i | −0.0315082 | − | 0.0433673i | ||||
\(630\) | 453.471 | + | 232.254i | 0.719795 | + | 0.368656i | ||||
\(631\) | 773.885 | + | 562.261i | 1.22644 | + | 0.891063i | 0.996618 | − | 0.0821694i | \(-0.0261848\pi\) |
0.229824 | + | 0.973232i | \(0.426185\pi\) | |||||||
\(632\) | −6.26377 | + | 6.26377i | −0.00991102 | + | 0.00991102i | ||||
\(633\) | 79.6211 | + | 502.708i | 0.125784 | + | 0.794167i | ||||
\(634\) | 716.917 | + | 232.940i | 1.13078 | + | 0.367414i | ||||
\(635\) | −710.046 | − | 981.616i | −1.11818 | − | 1.54585i | ||||
\(636\) | −139.415 | − | 429.075i | −0.219206 | − | 0.674646i | ||||
\(637\) | 212.403 | + | 416.864i | 0.333442 | + | 0.654417i | ||||
\(638\) | −382.750 | + | 195.021i | −0.599922 | + | 0.305676i | ||||
\(639\) | 388.189 | − | 126.130i | 0.607494 | − | 0.197387i | ||||
\(640\) | −287.415 | − | 209.741i | −0.449086 | − | 0.327720i | ||||
\(641\) | −14.7703 | + | 45.4584i | −0.0230426 | + | 0.0709179i | −0.961917 | − | 0.273343i | \(-0.911871\pi\) |
0.938874 | + | 0.344261i | \(0.111871\pi\) | |||||||
\(642\) | 535.138 | − | 84.7575i | 0.833548 | − | 0.132021i | ||||
\(643\) | 508.705 | + | 508.705i | 0.791143 | + | 0.791143i | 0.981680 | − | 0.190537i | \(-0.0610230\pi\) |
−0.190537 | + | 0.981680i | \(0.561023\pi\) | |||||||
\(644\) | 625.189 | − | 860.499i | 0.970790 | − | 1.33618i | ||||
\(645\) | −30.6951 | − | 196.466i | −0.0475894 | − | 0.304598i | ||||
\(646\) | −3.39365 | + | 2.46563i | −0.00525334 | + | 0.00381677i | ||||
\(647\) | 23.3935 | − | 147.701i | 0.0361568 | − | 0.228285i | −0.962992 | − | 0.269529i | \(-0.913132\pi\) |
0.999149 | + | 0.0412437i | \(0.0131320\pi\) | |||||||
\(648\) | 104.433 | − | 204.962i | 0.161162 | − | 0.316299i | ||||
\(649\) | − | 5.36120i | − | 0.00826070i | ||||||
\(650\) | 496.661 | + | 689.657i | 0.764094 | + | 1.06101i | ||||
\(651\) | 626.255 | 0.961990 | ||||||||
\(652\) | −203.518 | − | 103.698i | −0.312144 | − | 0.159045i | ||||
\(653\) | 485.576 | + | 76.9077i | 0.743609 | + | 0.117776i | 0.516732 | − | 0.856147i | \(-0.327148\pi\) |
0.226877 | + | 0.973923i | \(0.427148\pi\) | |||||||
\(654\) | 1139.91 | + | 1568.95i | 1.74298 | + | 2.39900i | ||||
\(655\) | 122.176 | + | 241.031i | 0.186528 | + | 0.367986i | ||||
\(656\) | −39.5448 | − | 28.7310i | −0.0602817 | − | 0.0437972i | ||||
\(657\) | 175.064 | − | 175.064i | 0.266460 | − | 0.266460i | ||||
\(658\) | −152.044 | − | 959.970i | −0.231070 | − | 1.45892i | ||||
\(659\) | −207.038 | − | 67.2707i | −0.314170 | − | 0.102080i | 0.147688 | − | 0.989034i | \(-0.452817\pi\) |
−0.461858 | + | 0.886954i | \(0.652817\pi\) | |||||||
\(660\) | 559.575 | − | 180.521i | 0.847841 | − | 0.273517i | ||||
\(661\) | 315.065 | + | 969.671i | 0.476650 | + | 1.46698i | 0.843720 | + | 0.536783i | \(0.180361\pi\) |
−0.367071 | + | 0.930193i | \(0.619639\pi\) | |||||||
\(662\) | −259.532 | − | 509.360i | −0.392042 | − | 0.769425i | ||||
\(663\) | 24.0200 | − | 12.2388i | 0.0362292 | − | 0.0184597i | ||||
\(664\) | 143.289 | − | 46.5575i | 0.215797 | − | 0.0701167i | ||||
\(665\) | −38.5962 | + | 117.945i | −0.0580394 | + | 0.177361i | ||||
\(666\) | −195.768 | + | 602.511i | −0.293945 | + | 0.904670i | ||||
\(667\) | 561.142 | − | 88.8761i | 0.841292 | − | 0.133248i | ||||
\(668\) | −67.2588 | − | 67.2588i | −0.100687 | − | 0.100687i | ||||
\(669\) | −713.196 | + | 981.630i | −1.06606 | + | 1.46731i | ||||
\(670\) | 64.1310 | + | 64.4004i | 0.0957179 | + | 0.0961200i | ||||
\(671\) | 200.983 | − | 146.023i | 0.299528 | − | 0.217620i | ||||
\(672\) | 214.325 | − | 1353.19i | 0.318936 | − | 2.01368i | ||||
\(673\) | −147.992 | + | 290.450i | −0.219898 | + | 0.431575i | −0.974431 | − | 0.224688i | \(-0.927864\pi\) |
0.754532 | + | 0.656263i | \(0.227864\pi\) | |||||||
\(674\) | − | 225.281i | − | 0.334245i | ||||||
\(675\) | 67.3617 | + | 437.159i | 0.0997951 | + | 0.647643i | ||||
\(676\) | −23.1287 | −0.0342141 | ||||||||
\(677\) | 1132.17 | + | 576.870i | 1.67234 | + | 0.852098i | 0.992979 | + | 0.118290i | \(0.0377412\pi\) |
0.679357 | + | 0.733808i | \(0.262259\pi\) | |||||||
\(678\) | −1527.14 | − | 241.875i | −2.25242 | − | 0.356748i | ||||
\(679\) | −21.2410 | − | 29.2357i | −0.0312828 | − | 0.0430570i | ||||
\(680\) | 1.05577 | − | 6.57663i | 0.00155261 | − | 0.00967152i | ||||
\(681\) | 37.2192 | + | 27.0413i | 0.0546538 | + | 0.0397083i | ||||
\(682\) | 363.986 | − | 363.986i | 0.533704 | − | 0.533704i | ||||
\(683\) | 114.786 | + | 724.732i | 0.168062 | + | 1.06110i | 0.917124 | + | 0.398601i | \(0.130504\pi\) |
−0.749062 | + | 0.662499i | \(0.769496\pi\) | |||||||
\(684\) | 33.0179 | + | 10.7282i | 0.0482718 | + | 0.0156844i | ||||
\(685\) | 1.60790 | − | 767.071i | 0.00234730 | − | 1.11981i | ||||
\(686\) | −93.3883 | − | 287.420i | −0.136135 | − | 0.418979i | ||||
\(687\) | −658.058 | − | 1291.51i | −0.957871 | − | 1.87993i | ||||
\(688\) | −182.781 | + | 93.1318i | −0.265671 | + | 0.135366i | ||||
\(689\) | −478.384 | + | 155.436i | −0.694317 | + | 0.225597i | ||||
\(690\) | −1765.40 | − | 3.70057i | −2.55856 | − | 0.00536314i | ||||
\(691\) | 214.098 | − | 658.927i | 0.309838 | − | 0.953585i | −0.667989 | − | 0.744171i | \(-0.732845\pi\) |
0.977827 | − | 0.209413i | \(-0.0671554\pi\) | |||||||
\(692\) | −589.759 | + | 93.4086i | −0.852253 | + | 0.134984i | ||||
\(693\) | −277.882 | − | 277.882i | −0.400984 | − | 0.400984i | ||||
\(694\) | 226.202 | − | 311.340i | 0.325939 | − | 0.448617i | ||||
\(695\) | 828.293 | + | 132.969i | 1.19179 | + | 0.191322i | ||||
\(696\) | 103.858 | − | 75.4575i | 0.149222 | − | 0.108416i | ||||
\(697\) | 0.239672 | − | 1.51323i | 0.000343862 | − | 0.00217106i | ||||
\(698\) | −720.118 | + | 1413.31i | −1.03169 | + | 2.02480i | ||||
\(699\) | − | 718.077i | − | 1.02729i | ||||||
\(700\) | 328.329 | + | 651.116i | 0.469042 | + | 0.930166i | ||||
\(701\) | 367.187 | 0.523805 | 0.261902 | − | 0.965094i | \(-0.415650\pi\) | ||||
0.261902 | + | 0.965094i | \(0.415650\pi\) | |||||||
\(702\) | 535.913 | + | 273.061i | 0.763409 | + | 0.388976i | ||||
\(703\) | −152.411 | − | 24.1395i | −0.216800 | − | 0.0343378i | ||||
\(704\) | −209.041 | − | 287.721i | −0.296934 | − | 0.408694i | ||||
\(705\) | −503.516 | + | 501.410i | −0.714208 | + | 0.711220i | ||||
\(706\) | −52.3272 | − | 38.0180i | −0.0741179 | − | 0.0538498i | ||||
\(707\) | 503.516 | − | 503.516i | 0.712186 | − | 0.712186i | ||||
\(708\) | −0.927490 | − | 5.85594i | −0.00131001 | − | 0.00827111i | ||||
\(709\) | −227.327 | − | 73.8631i | −0.320631 | − | 0.104179i | 0.144280 | − | 0.989537i | \(-0.453913\pi\) |
−0.464910 | + | 0.885358i | \(0.653913\pi\) | |||||||
\(710\) | 1260.48 | + | 412.479i | 1.77533 | + | 0.580956i | ||||
\(711\) | 4.94994 | + | 15.2343i | 0.00696194 | + | 0.0214267i | ||||
\(712\) | −53.8067 | − | 105.602i | −0.0755712 | − | 0.148317i | ||||
\(713\) | −606.595 | + | 309.076i | −0.850765 | + | 0.433486i | ||||
\(714\) | 49.9418 | − | 16.2271i | 0.0699465 | − | 0.0227270i | ||||
\(715\) | −201.266 | − | 623.881i | −0.281492 | − | 0.872561i | ||||
\(716\) | 265.982 | − | 818.607i | 0.371483 | − | 1.14331i | ||||
\(717\) | −1516.97 | + | 240.265i | −2.11572 | + | 0.335098i | ||||
\(718\) | 69.6951 | + | 69.6951i | 0.0970684 | + | 0.0970684i | ||||
\(719\) | 444.920 | − | 612.380i | 0.618804 | − | 0.851711i | −0.378461 | − | 0.925617i | \(-0.623547\pi\) |
0.997265 | + | 0.0739064i | \(0.0235466\pi\) | |||||||
\(720\) | −342.757 | + | 173.739i | −0.476051 | + | 0.241305i | ||||
\(721\) | −558.962 | + | 406.110i | −0.775260 | + | 0.563259i | ||||
\(722\) | 147.992 | − | 934.385i | 0.204975 | − | 1.29416i | ||||
\(723\) | −450.011 | + | 883.197i | −0.622422 | + | 1.22157i | ||||
\(724\) | 881.248i | 1.21719i | ||||||||
\(725\) | −121.916 | + | 369.935i | −0.168160 | + | 0.510255i | ||||
\(726\) | 142.007 | 0.195602 | ||||||||
\(727\) | −1151.15 | − | 586.543i | −1.58343 | − | 0.806799i | −0.583446 | − | 0.812152i | \(-0.698296\pi\) |
−0.999986 | + | 0.00535374i | \(0.998296\pi\) | |||||||
\(728\) | −264.660 | − | 41.9180i | −0.363543 | − | 0.0575796i | ||||
\(729\) | 94.4459 | + | 129.994i | 0.129555 | + | 0.178318i | ||||
\(730\) | 794.816 | − | 124.179i | 1.08879 | − | 0.170109i | ||||
\(731\) | −5.20190 | − | 3.77940i | −0.00711614 | − | 0.00517018i | ||||
\(732\) | 194.268 | − | 194.268i | 0.265394 | − | 0.265394i | ||||
\(733\) | −132.387 | − | 835.857i | −0.180609 | − | 1.14032i | −0.896806 | − | 0.442424i | \(-0.854119\pi\) |
0.716196 | − | 0.697899i | \(-0.245881\pi\) | |||||||
\(734\) | −606.822 | − | 197.168i | −0.826732 | − | 0.268622i | ||||
\(735\) | 392.763 | − | 538.216i | 0.534372 | − | 0.732267i | ||||
\(736\) | 460.245 | + | 1416.49i | 0.625333 | + | 1.92458i | ||||
\(737\) | −31.8261 | − | 62.4623i | −0.0431834 | − | 0.0847521i | ||||
\(738\) | −25.6489 | + | 13.0688i | −0.0347546 | + | 0.0177083i | ||||
\(739\) | −213.688 | + | 69.4313i | −0.289158 | + | 0.0939531i | −0.450004 | − | 0.893026i | \(-0.648578\pi\) |
0.160847 | + | 0.986979i | \(0.448578\pi\) | |||||||
\(740\) | −734.678 | + | 531.426i | −0.992808 | + | 0.718143i | ||||
\(741\) | 38.1253 | − | 117.338i | 0.0514512 | − | 0.158351i | ||||
\(742\) | −967.735 | + | 153.274i | −1.30422 | + | 0.206569i | ||||
\(743\) | −127.052 | − | 127.052i | −0.170999 | − | 0.170999i | 0.616419 | − | 0.787418i | \(-0.288583\pi\) |
−0.787418 | + | 0.616419i | \(0.788583\pi\) | |||||||
\(744\) | −90.4208 | + | 124.454i | −0.121533 | + | 0.167276i | ||||
\(745\) | −546.342 | + | 1066.72i | −0.733345 | + | 1.43184i | ||||
\(746\) | 718.344 | − | 521.908i | 0.962928 | − | 0.699608i | ||||
\(747\) | 42.6193 | − | 269.088i | 0.0570540 | − | 0.360225i | ||||
\(748\) | 8.63145 | − | 16.9402i | 0.0115394 | − | 0.0226473i | ||||
\(749\) | − | 518.305i | − | 0.691996i | ||||||
\(750\) | 556.253 | − | 1074.94i | 0.741671 | − | 1.43326i | ||||
\(751\) | −1293.56 | −1.72245 | −0.861223 | − | 0.508228i | \(-0.830301\pi\) | ||||
−0.861223 | + | 0.508228i | \(0.830301\pi\) | |||||||
\(752\) | 653.172 | + | 332.808i | 0.868580 | + | 0.442564i | ||||
\(753\) | −95.1367 | − | 15.0682i | −0.126344 | − | 0.0200109i | ||||
\(754\) | 311.324 | + | 428.501i | 0.412896 | + | 0.568303i | ||||
\(755\) | 308.924 | + | 158.221i | 0.409171 | + | 0.209565i | ||||
\(756\) | 417.510 | + | 303.339i | 0.552262 | + | 0.401242i | ||||
\(757\) | −527.385 | + | 527.385i | −0.696678 | + | 0.696678i | −0.963692 | − | 0.267015i | \(-0.913963\pi\) |
0.267015 | + | 0.963692i | \(0.413963\pi\) | |||||||
\(758\) | −215.838 | − | 1362.74i | −0.284746 | − | 1.79782i | ||||
\(759\) | 1295.07 | + | 420.794i | 1.70629 | + | 0.554406i | ||||
\(760\) | −17.8662 | − | 24.6994i | −0.0235081 | − | 0.0324992i | ||||
\(761\) | −60.6870 | − | 186.775i | −0.0797463 | − | 0.245434i | 0.903233 | − | 0.429151i | \(-0.141187\pi\) |
−0.982979 | + | 0.183717i | \(0.941187\pi\) | |||||||
\(762\) | 1065.12 | + | 2090.41i | 1.39779 | + | 2.74332i | ||||
\(763\) | 1653.00 | − | 842.244i | 2.16644 | − | 1.10386i | ||||
\(764\) | −343.756 | + | 111.693i | −0.449942 | + | 0.146195i | ||||
\(765\) | −9.72950 | − | 7.10011i | −0.0127183 | − | 0.00928118i | ||||
\(766\) | −483.873 | + | 1489.21i | −0.631688 | + | 1.94414i | ||||
\(767\) | −6.52891 | + | 1.03408i | −0.00851227 | + | 0.00134821i | ||||
\(768\) | 840.484 | + | 840.484i | 1.09438 | + | 1.09438i | ||||
\(769\) | 668.490 | − | 920.097i | 0.869297 | − | 1.19648i | −0.109975 | − | 0.993934i | \(-0.535077\pi\) |
0.979272 | − | 0.202551i | \(-0.0649230\pi\) | |||||||
\(770\) | −197.112 | − | 1261.62i | −0.255989 | − | 1.63847i | ||||
\(771\) | 1399.07 | − | 1016.49i | 1.81462 | − | 1.31840i | ||||
\(772\) | 37.4562 | − | 236.489i | 0.0485184 | − | 0.306333i | ||||
\(773\) | 267.971 | − | 525.923i | 0.346664 | − | 0.680367i | −0.650178 | − | 0.759782i | \(-0.725305\pi\) |
0.996842 | + | 0.0794158i | \(0.0253055\pi\) | |||||||
\(774\) | 120.811i | 0.156087i | ||||||||
\(775\) | 1.95674 | − | 466.742i | 0.00252482 | − | 0.602247i | ||||
\(776\) | 8.87675 | 0.0114391 | ||||||||
\(777\) | 1721.17 | + | 876.980i | 2.21515 | + | 1.12867i | ||||
\(778\) | 744.332 | + | 117.891i | 0.956725 | + | 0.151530i | ||||
\(779\) | −4.12138 | − | 5.67259i | −0.00529060 | − | 0.00728189i | ||||
\(780\) | −327.772 | − | 646.636i | −0.420220 | − | 0.829020i | ||||
\(781\) | −827.613 | − | 601.296i | −1.05968 | − | 0.769906i | ||||
\(782\) | −40.3655 | + | 40.3655i | −0.0516182 | + | 0.0516182i | ||||
\(783\) | 43.1223 | + | 272.264i | 0.0550732 | + | 0.347719i | ||||
\(784\) | −653.725 | − | 212.408i | −0.833833 | − | 0.270929i | ||||
\(785\) | −97.5981 | + | 31.4855i | −0.124329 | + | 0.0401089i | ||||
\(786\) | −161.711 | − | 497.695i | −0.205739 | − | 0.633200i | ||||
\(787\) | 91.1340 | + | 178.861i | 0.115799 | + | 0.227269i | 0.941630 | − | 0.336649i | \(-0.109294\pi\) |
−0.825831 | + | 0.563918i | \(0.809294\pi\) | |||||||
\(788\) | 446.163 | − | 227.331i | 0.566196 | − | 0.288491i | ||||
\(789\) | −774.397 | + | 251.617i | −0.981492 | + | 0.318906i | ||||
\(790\) | −16.1876 | + | 49.4673i | −0.0204907 | + | 0.0626168i | ||||
\(791\) | −457.068 | + | 1406.71i | −0.577836 | + | 1.77840i | ||||
\(792\) | 95.3441 | − | 15.1010i | 0.120384 | − | 0.0190669i | ||||
\(793\) | −216.594 | − | 216.594i | −0.273132 | − | 0.273132i | ||||
\(794\) | −920.495 | + | 1266.95i | −1.15931 | + | 1.59566i | ||||
\(795\) | 505.466 | + | 507.589i | 0.635806 | + | 0.638477i | ||||
\(796\) | 335.627 | − | 243.848i | 0.421642 | − | 0.306341i | ||||
\(797\) | −136.705 | + | 863.119i | −0.171524 | + | 1.08296i | 0.740270 | + | 0.672310i | \(0.234698\pi\) |
−0.911793 | + | 0.410649i | \(0.865302\pi\) | |||||||
\(798\) | 109.105 | − | 214.130i | 0.136723 | − | 0.268334i | ||||
\(799\) | 22.9774i | 0.0287576i | ||||||||
\(800\) | −1007.85 | − | 163.962i | −1.25982 | − | 0.204953i | ||||
\(801\) | −214.317 | −0.267562 | ||||||||
\(802\) | −498.586 | − | 254.042i | −0.621678 | − | 0.316761i | ||||
\(803\) | −612.866 | − | 97.0685i | −0.763221 | − | 0.120882i | ||||
\(804\) | −45.5692 | − | 62.7206i | −0.0566781 | − | 0.0780107i | ||||
\(805\) | −267.687 | + | 1667.48i | −0.332530 | + | 2.07140i | ||||
\(806\) | −513.472 | − | 373.059i | −0.637062 | − | 0.462853i | ||||
\(807\) | 112.303 | − | 112.303i | 0.139161 | − | 0.139161i | ||||
\(808\) | 27.3627 | + | 172.761i | 0.0338647 | + | 0.213813i | ||||
\(809\) | 912.596 | + | 296.520i | 1.12805 | + | 0.366527i | 0.812836 | − | 0.582492i | \(-0.197922\pi\) |
0.315218 | + | 0.949019i | \(0.397922\pi\) | |||||||
\(810\) | 2.83318 | − | 1351.60i | 0.00349775 | − | 1.66865i | ||||
\(811\) | −239.714 | − | 737.763i | −0.295578 | − | 0.909695i | −0.983027 | − | 0.183462i | \(-0.941269\pi\) |
0.687449 | − | 0.726233i | \(-0.258731\pi\) | |||||||
\(812\) | 206.318 | + | 404.921i | 0.254086 | + | 0.498672i | ||||
\(813\) | 1121.30 | − | 571.330i | 1.37921 | − | 0.702743i | ||||
\(814\) | 1510.07 | − | 490.653i | 1.85513 | − | 0.602767i | ||||
\(815\) | 362.671 | + | 0.760217i | 0.444996 | + | 0.000932781i | ||||
\(816\) | −12.2391 | + | 37.6681i | −0.0149989 | + | 0.0461619i | ||||
\(817\) | −29.0645 | + | 4.60337i | −0.0355747 | + | 0.00563448i | ||||
\(818\) | 774.675 | + | 774.675i | 0.947035 | + | 0.947035i | ||||
\(819\) | −284.809 | + | 392.006i | −0.347752 | + | 0.478639i | ||||
\(820\) | −40.6802 | − | 6.53056i | −0.0496100 | − | 0.00796409i | ||||
\(821\) | 242.698 | − | 176.330i | 0.295613 | − | 0.214775i | −0.430086 | − | 0.902788i | \(-0.641517\pi\) |
0.725698 | + | 0.688013i | \(0.241517\pi\) | |||||||
\(822\) | −232.379 | + | 1467.18i | −0.282699 | + | 1.78489i | ||||
\(823\) | 230.679 | − | 452.732i | 0.280290 | − | 0.550100i | −0.707346 | − | 0.706868i | \(-0.750107\pi\) |
0.987635 | + | 0.156768i | \(0.0501075\pi\) | |||||||
\(824\) | − | 169.716i | − | 0.205966i | ||||||
\(825\) | −662.899 | + | 657.364i | −0.803514 | + | 0.796805i | ||||
\(826\) | −12.8762 | −0.0155886 | ||||||||
\(827\) | −1282.57 | − | 653.504i | −1.55087 | − | 0.790210i | −0.551832 | − | 0.833955i | \(-0.686071\pi\) |
−0.999043 | + | 0.0437453i | \(0.986071\pi\) | |||||||
\(828\) | 466.635 | + | 73.9078i | 0.563569 | + | 0.0892606i | ||||
\(829\) | −410.893 | − | 565.546i | −0.495649 | − | 0.682203i | 0.485768 | − | 0.874088i | \(-0.338540\pi\) |
−0.981417 | + | 0.191885i | \(0.938540\pi\) | |||||||
\(830\) | 627.276 | − | 624.652i | 0.755755 | − | 0.752593i | ||||
\(831\) | −605.218 | − | 439.717i | −0.728301 | − | 0.529142i | ||||
\(832\) | −310.069 | + | 310.069i | −0.372679 | + | 0.372679i | ||||
\(833\) | −3.37034 | − | 21.2795i | −0.00404603 | − | 0.0255456i | ||||
\(834\) | −1545.05 | − | 502.017i | −1.85258 | − | 0.601939i | ||||
\(835\) | 143.538 | + | 46.9711i | 0.171902 | + | 0.0562528i | ||||
\(836\) | −26.8880 | − | 82.7528i | −0.0321627 | − | 0.0989866i | ||||
\(837\) | −149.962 | − | 294.318i | −0.179166 | − | 0.351634i | ||||
\(838\) | −686.317 | + | 349.696i | −0.818994 | + | 0.417298i | ||||
\(839\) | −247.248 | + | 80.3359i | −0.294694 | + | 0.0957519i | −0.452633 | − | 0.891697i | \(-0.649515\pi\) |
0.157939 | + | 0.987449i | \(0.449515\pi\) | |||||||
\(840\) | 117.162 | + | 363.176i | 0.139479 | + | 0.432353i | ||||
\(841\) | 184.871 | − | 568.974i | 0.219823 | − | 0.676545i | ||||
\(842\) | −869.036 | + | 137.642i | −1.03211 | + | 0.163470i | ||||
\(843\) | 477.794 | + | 477.794i | 0.566778 | + | 0.566778i | ||||
\(844\) | 260.147 | − | 358.061i | 0.308231 | − | 0.424243i | ||||
\(845\) | 32.7558 | − | 16.6035i | 0.0387642 | − | 0.0196491i | ||||
\(846\) | 349.269 | − | 253.759i | 0.412848 | − | 0.299952i | ||||
\(847\) | 21.2512 | − | 134.175i | 0.0250900 | − | 0.158412i | ||||
\(848\) | 335.500 | − | 658.456i | 0.395637 | − | 0.776481i | ||||
\(849\) | − | 45.4295i | − | 0.0535095i | ||||||
\(850\) | −11.9378 | − | 37.2718i | −0.0140445 | − | 0.0438492i | ||||
\(851\) | −2099.95 | −2.46763 | ||||||||
\(852\) | −1008.01 | − | 513.608i | −1.18311 | − | 0.602826i | ||||
\(853\) | −1173.94 | − | 185.933i | −1.37624 | − | 0.217976i | −0.575901 | − | 0.817519i | \(-0.695349\pi\) |
−0.800342 | + | 0.599544i | \(0.795349\pi\) | |||||||
\(854\) | −350.708 | − | 482.708i | −0.410665 | − | 0.565232i | ||||
\(855\) | −54.4626 | + | 8.50904i | −0.0636990 | + | 0.00995210i | ||||
\(856\) | 103.001 | + | 74.8346i | 0.120328 | + | 0.0874236i | ||||
\(857\) | 1103.02 | − | 1103.02i | 1.28707 | − | 1.28707i | 0.350513 | − | 0.936558i | \(-0.386007\pi\) |
0.936558 | − | 0.350513i | \(-0.113993\pi\) | |||||||
\(858\) | 198.592 | + | 1253.86i | 0.231459 | + | 1.46137i | ||||
\(859\) | 922.654 | + | 299.788i | 1.07410 | + | 0.348997i | 0.792084 | − | 0.610412i | \(-0.208996\pi\) |
0.282018 | + | 0.959409i | \(0.408996\pi\) | |||||||
\(860\) | −101.929 | + | 139.676i | −0.118522 | + | 0.162414i | ||||
\(861\) | 27.1240 | + | 83.4792i | 0.0315030 | + | 0.0969561i | ||||
\(862\) | 396.223 | + | 777.632i | 0.459656 | + | 0.902125i | ||||
\(863\) | −543.074 | + | 276.710i | −0.629286 | + | 0.320637i | −0.739384 | − | 0.673284i | \(-0.764883\pi\) |
0.110099 | + | 0.993921i | \(0.464883\pi\) | |||||||
\(864\) | −687.275 | + | 223.309i | −0.795457 | + | 0.258460i | ||||
\(865\) | 768.183 | − | 555.661i | 0.888073 | − | 0.642383i | ||||
\(866\) | −179.649 | + | 552.904i | −0.207447 | + | 0.638457i | ||||
\(867\) | 1032.47 | − | 163.527i | 1.19085 | − | 0.188612i | ||||
\(868\) | −385.071 | − | 385.071i | −0.443630 | − | 0.443630i | ||||
\(869\) | 23.5977 | − | 32.4795i | 0.0271550 | − | 0.0373757i | ||||
\(870\) | 343.852 | − | 671.364i | 0.395232 | − | 0.771683i | ||||
\(871\) | −69.9285 | + | 50.8060i | −0.0802853 | + | 0.0583307i | ||||
\(872\) | −71.2889 | + | 450.100i | −0.0817533 | + | 0.516170i | ||||
\(873\) | 7.28732 | − | 14.3022i | 0.00834745 | − | 0.0163828i | ||||
\(874\) | 261.255i | 0.298919i | ||||||||
\(875\) | −932.411 | − | 686.436i | −1.06561 | − | 0.784499i | ||||
\(876\) | −686.216 | −0.783352 | ||||||||
\(877\) | 496.670 | + | 253.066i | 0.566328 | + | 0.288559i | 0.713618 | − | 0.700535i | \(-0.247055\pi\) |
−0.147290 | + | 0.989093i | \(0.547055\pi\) | |||||||
\(878\) | 614.616 | + | 97.3456i | 0.700018 | + | 0.110872i | ||||
\(879\) | −762.689 | − | 1049.75i | −0.867678 | − | 1.19426i | ||||
\(880\) | 857.220 | + | 439.041i | 0.974113 | + | 0.498910i | ||||
\(881\) | 571.794 | + | 415.433i | 0.649028 | + | 0.471547i | 0.862940 | − | 0.505306i | \(-0.168621\pi\) |
−0.213912 | + | 0.976853i | \(0.568621\pi\) | |||||||
\(882\) | −286.239 | + | 286.239i | −0.324535 | + | 0.324535i | ||||
\(883\) | 63.1426 | + | 398.666i | 0.0715091 | + | 0.451491i | 0.997299 | + | 0.0734518i | \(0.0234015\pi\) |
−0.925790 | + | 0.378039i | \(0.876598\pi\) | |||||||
\(884\) | −22.2947 | − | 7.24400i | −0.0252203 | − | 0.00819457i | ||||
\(885\) | 5.51737 | + | 7.62758i | 0.00623432 | + | 0.00861874i | ||||
\(886\) | 247.379 | + | 761.355i | 0.279209 | + | 0.859317i | ||||
\(887\) | 675.314 | + | 1325.38i | 0.761346 | + | 1.49423i | 0.866178 | + | 0.499735i | \(0.166569\pi\) |
−0.104832 | + | 0.994490i | \(0.533431\pi\) | |||||||
\(888\) | −422.787 | + | 215.421i | −0.476112 | + | 0.242591i | ||||
\(889\) | 2134.51 | − | 693.543i | 2.40102 | − | 0.780139i | ||||
\(890\) | −562.526 | − | 410.504i | −0.632052 | − | 0.461240i | ||||
\(891\) | −322.162 | + | 991.514i | −0.361574 | + | 1.11281i | ||||
\(892\) | 1042.11 | − | 165.054i | 1.16829 | − | 0.185038i | ||||
\(893\) | 74.3574 | + | 74.3574i | 0.0832670 | + | 0.0832670i | ||||
\(894\) | 1364.21 | − | 1877.68i | 1.52596 | − | 2.10031i | ||||
\(895\) | 210.963 | + | 1350.28i | 0.235713 | + | 1.50870i | ||||
\(896\) | 533.261 | − | 387.437i | 0.595157 | − | 0.432407i | ||||
\(897\) | 262.651 | − | 1658.31i | 0.292810 | − | 1.84873i | ||||
\(898\) | 224.249 | − | 440.114i | 0.249721 | − | 0.490105i | ||||
\(899\) | − | 290.881i | − | 0.323561i | ||||||
\(900\) | −191.485 | + | 261.246i | −0.212761 | + | 0.290273i | ||||
\(901\) | 23.1632 | 0.0257083 | ||||||||
\(902\) | 64.2838 | + | 32.7542i | 0.0712681 | + | 0.0363129i | ||||
\(903\) | 363.841 | + | 57.6267i | 0.402925 | + | 0.0638170i | ||||
\(904\) | −213.558 | − | 293.937i | −0.236236 | − | 0.325151i | ||||
\(905\) | −632.625 | − | 1248.06i | −0.699033 | − | 1.37907i | ||||
\(906\) | −543.777 | − | 395.077i | −0.600196 | − | 0.436068i | ||||
\(907\) | −183.343 | + | 183.343i | −0.202142 | + | 0.202142i | −0.800917 | − | 0.598775i | \(-0.795654\pi\) |
0.598775 | + | 0.800917i | \(0.295654\pi\) | |||||||
\(908\) | −6.25815 | − | 39.5124i | −0.00689224 | − | 0.0435159i | ||||
\(909\) | 300.815 | + | 97.7407i | 0.330930 | + | 0.107526i | ||||
\(910\) | −1498.40 | + | 483.389i | −1.64659 | + | 0.531196i | ||||
\(911\) | 337.161 | + | 1037.67i | 0.370100 | + | 1.13905i | 0.946726 | + | 0.322041i | \(0.104369\pi\) |
−0.576626 | + | 0.817008i | \(0.695631\pi\) | |||||||
\(912\) | 82.2912 | + | 161.506i | 0.0902316 | + | 0.177090i | ||||
\(913\) | −608.399 | + | 309.995i | −0.666374 | + | 0.339534i | ||||
\(914\) | 1106.14 | − | 359.406i | 1.21022 | − | 0.393223i | ||||
\(915\) | −135.670 | + | 414.590i | −0.148273 | + | 0.453104i | ||||
\(916\) | −389.496 | + | 1198.75i | −0.425214 | + | 1.30868i | ||||
\(917\) | −494.444 | + | 78.3122i | −0.539197 | + | 0.0854004i | ||||
\(918\) | −19.5852 | − | 19.5852i | −0.0213346 | − | 0.0213346i | ||||
\(919\) | −355.204 | + | 488.897i | −0.386512 | + | 0.531988i | −0.957295 | − | 0.289113i | \(-0.906640\pi\) |
0.570783 | + | 0.821101i | \(0.306640\pi\) | |||||||
\(920\) | −292.722 | − | 293.952i | −0.318176 | − | 0.319513i | ||||
\(921\) | −1598.52 | + | 1161.40i | −1.73564 | + | 1.26102i | ||||
\(922\) | 293.549 | − | 1853.39i | 0.318382 | − | 2.01019i | ||||
\(923\) | −572.632 | + | 1123.85i | −0.620403 | + | 1.21761i | ||||
\(924\) | 1089.24i | 1.17883i | ||||||||
\(925\) | 658.982 | − | 1280.03i | 0.712413 | − | 1.38382i | ||||
\(926\) | 2319.44 | 2.50480 | ||||||||
\(927\) | −273.446 | − | 139.328i | −0.294979 | − | 0.150299i | ||||
\(928\) | −628.528 | − | 99.5490i | −0.677293 | − | 0.107273i | ||||
\(929\) | 680.551 | + | 936.698i | 0.732563 | + | 1.00829i | 0.999012 | + | 0.0444375i | \(0.0141496\pi\) |
−0.266449 | + | 0.963849i | \(0.585850\pi\) | |||||||
\(930\) | −143.268 | + | 892.447i | −0.154052 | + | 0.959621i | ||||
\(931\) | −79.7699 | − | 57.9562i | −0.0856819 | − | 0.0622515i | ||||
\(932\) | −441.530 | + | 441.530i | −0.473744 | + | 0.473744i | ||||
\(933\) | −103.561 | − | 653.860i | −0.110998 | − | 0.700814i | ||||
\(934\) | −1104.39 | − | 358.838i | −1.18243 | − | 0.384195i | ||||
\(935\) | −0.0632780 | + | 30.1876i | −6.76770e−5 | + | 0.0322862i | ||||
\(936\) | −36.7803 | − | 113.198i | −0.0392952 | − | 0.120938i | ||||
\(937\) | −342.236 | − | 671.677i | −0.365247 | − | 0.716838i | 0.633115 | − | 0.774058i | \(-0.281776\pi\) |
−0.998362 | + | 0.0572205i | \(0.981776\pi\) | |||||||
\(938\) | −150.018 | + | 76.4380i | −0.159934 | + | 0.0814904i | ||||
\(939\) | −1671.55 | + | 543.118i | −1.78013 | + | 0.578401i | ||||
\(940\) | 617.907 | + | 1.29523i | 0.657348 | + | 0.00137791i | ||||
\(941\) | 408.472 | − | 1257.15i | 0.434083 | − | 1.33597i | −0.459941 | − | 0.887949i | \(-0.652129\pi\) |
0.894024 | − | 0.448020i | \(-0.147871\pi\) | |||||||
\(942\) | 196.150 | − | 31.0670i | 0.208227 | − | 0.0329799i | ||||
\(943\) | −67.4720 | − | 67.4720i | −0.0715504 | − | 0.0715504i | ||||
\(944\) | 5.70841 | − | 7.85695i | 0.00604704 | − | 0.00832304i | ||||
\(945\) | −809.053 | − | 129.880i | −0.856141 | − | 0.137440i | ||||
\(946\) | 244.962 | − | 177.975i | 0.258945 | − | 0.188134i | ||||
\(947\) | −90.9523 | + | 574.250i | −0.0960425 | + | 0.606389i | 0.891979 | + | 0.452076i | \(0.149316\pi\) |
−0.988022 | + | 0.154313i | \(0.950684\pi\) | |||||||
\(948\) | 20.1564 | − | 39.5592i | 0.0212620 | − | 0.0417291i | ||||
\(949\) | 765.076i | 0.806192i | ||||||||
\(950\) | −159.248 | − | 81.9838i | −0.167630 | − | 0.0862988i | ||||
\(951\) | 1020.97 | 1.07357 | ||||||||
\(952\) | 10.9945 | + | 5.60200i | 0.0115489 | + | 0.00588445i | ||||
\(953\) | 1229.45 | + | 194.726i | 1.29008 | + | 0.204329i | 0.763508 | − | 0.645798i | \(-0.223475\pi\) |
0.526577 | + | 0.850128i | \(0.323475\pi\) | |||||||
\(954\) | −255.812 | − | 352.095i | −0.268146 | − | 0.369072i | ||||
\(955\) | 406.658 | − | 404.957i | 0.425820 | − | 0.424039i | ||||
\(956\) | 1080.49 | + | 785.020i | 1.13022 | + | 0.821151i | ||||
\(957\) | −411.405 | + | 411.405i | −0.429890 | + | 0.429890i | ||||
\(958\) | 33.6079 | + | 212.192i | 0.0350813 | + | 0.221495i | ||||
\(959\) | 1351.48 | + | 439.123i | 1.40926 | + | 0.457897i | ||||
\(960\) | 593.514 | + | 194.221i | 0.618244 | + | 0.202313i | ||||
\(961\) | −189.254 | − | 582.462i | −0.196934 | − | 0.606100i | ||||
\(962\) | −888.787 | − | 1744.34i | −0.923895 | − | 1.81325i | ||||
\(963\) | 205.131 | − | 104.520i | 0.213013 | − | 0.108535i | ||||
\(964\) | 819.760 | − | 266.356i | 0.850374 | − | 0.276303i | ||||
\(965\) | 116.723 | + | 361.814i | 0.120956 | + | 0.374937i | ||||
\(966\) | 1010.64 | − | 3110.42i | 1.04621 | − | 3.21989i | ||||
\(967\) | 606.819 | − | 96.1107i | 0.627527 | − | 0.0993906i | 0.165433 | − | 0.986221i | \(-0.447098\pi\) |
0.462095 | + | 0.886831i | \(0.347098\pi\) | |||||||
\(968\) | 23.5958 | + | 23.5958i | 0.0243758 | + | 0.0243758i | ||||
\(969\) | −3.33948 | + | 4.59640i | −0.00344631 | + | 0.00474344i | ||||
\(970\) | 46.5218 | − | 23.5813i | 0.0479606 | − | 0.0243106i | ||||
\(971\) | −591.996 | + | 430.110i | −0.609676 | + | 0.442956i | −0.849300 | − | 0.527910i | \(-0.822976\pi\) |
0.239624 | + | 0.970866i | \(0.422976\pi\) | |||||||
\(972\) | −101.918 | + | 643.486i | −0.104854 | + | 0.662023i | ||||
\(973\) | −705.543 | + | 1384.71i | −0.725121 | + | 1.42313i | ||||
\(974\) | 1259.75i | 1.29338i | ||||||||
\(975\) | 928.405 | + | 680.491i | 0.952210 | + | 0.697939i | ||||
\(976\) | 450.025 | 0.461091 | ||||||||
\(977\) | 299.952 | + | 152.833i | 0.307013 | + | 0.156431i | 0.600709 | − | 0.799468i | \(-0.294885\pi\) |
−0.293696 | + | 0.955899i | \(0.594885\pi\) | |||||||
\(978\) | −693.684 | − | 109.869i | −0.709288 | − | 0.112340i | ||||
\(979\) | 315.725 | + | 434.558i | 0.322497 | + | 0.443880i | ||||
\(980\) | −572.439 | + | 89.4357i | −0.584121 | + | 0.0912610i | ||||
\(981\) | 666.675 | + | 484.368i | 0.679587 | + | 0.493749i | ||||
\(982\) | −644.431 | + | 644.431i | −0.656243 | + | 0.656243i | ||||
\(983\) | −178.128 | − | 1124.65i | −0.181208 | − | 1.14410i | −0.895765 | − | 0.444527i | \(-0.853372\pi\) |
0.714557 | − | 0.699577i | \(-0.246628\pi\) | |||||||
\(984\) | −20.5058 | − | 6.66273i | −0.0208392 | − | 0.00677107i | ||||
\(985\) | −468.677 | + | 642.243i | −0.475814 | + | 0.652024i | ||||
\(986\) | −7.53710 | − | 23.1968i | −0.00764412 | − | 0.0235262i | ||||
\(987\) | −597.633 | − | 1172.92i | −0.605504 | − | 1.18837i | ||||
\(988\) | −95.5908 | + | 48.7060i | −0.0967519 | + | 0.0492975i | ||||
\(989\) | −380.859 | + | 123.749i | −0.385096 | + | 0.125125i | ||||
\(990\) | 459.568 | − | 332.426i | 0.464210 | − | 0.335784i | ||||
\(991\) | 353.468 | − | 1087.86i | 0.356678 | − | 1.09774i | −0.598352 | − | 0.801233i | \(-0.704178\pi\) |
0.955030 | − | 0.296509i | \(-0.0958224\pi\) | |||||||
\(992\) | 753.164 | − | 119.290i | 0.759238 | − | 0.120252i | ||||
\(993\) | −547.493 | − | 547.493i | −0.551352 | − | 0.551352i | ||||
\(994\) | −1444.15 | + | 1987.71i | −1.45287 | + | 1.99971i | ||||
\(995\) | −300.276 | + | 586.284i | −0.301785 | + | 0.589230i | ||||
\(996\) | −610.915 | + | 443.855i | −0.613368 | + | 0.445638i | ||||
\(997\) | 181.244 | − | 1144.33i | 0.181789 | − | 1.14777i | −0.712962 | − | 0.701203i | \(-0.752647\pi\) |
0.894750 | − | 0.446567i | \(-0.147353\pi\) | |||||||
\(998\) | 489.793 | − | 961.272i | 0.490774 | − | 0.963198i | ||||
\(999\) | − | 1018.89i | − | 1.01991i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 25.3.f.a.8.1 | ✓ | 32 | |
3.2 | odd | 2 | 225.3.r.a.208.4 | 32 | |||
4.3 | odd | 2 | 400.3.bg.c.33.3 | 32 | |||
5.2 | odd | 4 | 125.3.f.a.107.4 | 32 | |||
5.3 | odd | 4 | 125.3.f.b.107.1 | 32 | |||
5.4 | even | 2 | 125.3.f.c.18.4 | 32 | |||
25.3 | odd | 20 | 125.3.f.c.7.4 | 32 | |||
25.4 | even | 10 | 125.3.f.b.118.1 | 32 | |||
25.21 | even | 5 | 125.3.f.a.118.4 | 32 | |||
25.22 | odd | 20 | inner | 25.3.f.a.22.1 | yes | 32 | |
75.47 | even | 20 | 225.3.r.a.172.4 | 32 | |||
100.47 | even | 20 | 400.3.bg.c.97.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.3.f.a.8.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
25.3.f.a.22.1 | yes | 32 | 25.22 | odd | 20 | inner | |
125.3.f.a.107.4 | 32 | 5.2 | odd | 4 | |||
125.3.f.a.118.4 | 32 | 25.21 | even | 5 | |||
125.3.f.b.107.1 | 32 | 5.3 | odd | 4 | |||
125.3.f.b.118.1 | 32 | 25.4 | even | 10 | |||
125.3.f.c.7.4 | 32 | 25.3 | odd | 20 | |||
125.3.f.c.18.4 | 32 | 5.4 | even | 2 | |||
225.3.r.a.172.4 | 32 | 75.47 | even | 20 | |||
225.3.r.a.208.4 | 32 | 3.2 | odd | 2 | |||
400.3.bg.c.33.3 | 32 | 4.3 | odd | 2 | |||
400.3.bg.c.97.3 | 32 | 100.47 | even | 20 |