Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(67,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bn (of order \(12\), degree \(4\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.4 | ||
Character | \(\chi\) | \(=\) | 390.67 |
Dual form | 390.2.bn.c.163.4 |
$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −0.965926 | − | 0.258819i | −0.557678 | − | 0.149429i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 1.23760 | + | 1.86235i | 0.553470 | + | 0.832869i | ||||
\(6\) | 0.258819 | + | 0.965926i | 0.105662 | + | 0.394338i | ||||
\(7\) | −3.19321 | − | 1.84360i | −1.20692 | − | 0.696816i | −0.244835 | − | 0.969565i | \(-0.578734\pi\) |
−0.962085 | + | 0.272749i | \(0.912067\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 0.994046 | − | 2.00297i | 0.314345 | − | 0.633394i | ||||
\(11\) | 0.762517 | − | 2.84575i | 0.229907 | − | 0.858026i | −0.750471 | − | 0.660903i | \(-0.770173\pi\) |
0.980379 | − | 0.197123i | \(-0.0631599\pi\) | |||||||
\(12\) | 0.707107 | − | 0.707107i | 0.204124 | − | 0.204124i | ||||
\(13\) | 3.53846 | + | 0.692322i | 0.981392 | + | 0.192016i | ||||
\(14\) | 3.68720i | 0.985446i | ||||||||
\(15\) | −0.713415 | − | 2.11921i | −0.184203 | − | 0.547177i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.01809 | − | 3.79957i | −0.246923 | − | 0.921531i | −0.972407 | − | 0.233291i | \(-0.925051\pi\) |
0.725484 | − | 0.688239i | \(-0.241616\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | 7.83553 | − | 2.09952i | 1.79759 | − | 0.481664i | 0.803995 | − | 0.594636i | \(-0.202704\pi\) |
0.993598 | + | 0.112972i | \(0.0360372\pi\) | |||||||
\(20\) | −2.23164 | + | 0.140614i | −0.499010 | + | 0.0314423i | ||||
\(21\) | 2.60724 | + | 2.60724i | 0.568947 | + | 0.568947i | ||||
\(22\) | −2.84575 | + | 0.762517i | −0.606716 | + | 0.162569i | ||||
\(23\) | 1.89749 | − | 7.08152i | 0.395653 | − | 1.47660i | −0.425011 | − | 0.905188i | \(-0.639730\pi\) |
0.820665 | − | 0.571410i | \(-0.193603\pi\) | |||||||
\(24\) | −0.965926 | − | 0.258819i | −0.197169 | − | 0.0528312i | ||||
\(25\) | −1.93671 | + | 4.60968i | −0.387342 | + | 0.921936i | ||||
\(26\) | −1.16966 | − | 3.41056i | −0.229389 | − | 0.668865i | ||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | 3.19321 | − | 1.84360i | 0.603460 | − | 0.348408i | ||||
\(29\) | 4.63913 | − | 2.67840i | 0.861464 | − | 0.497367i | −0.00303797 | − | 0.999995i | \(-0.500967\pi\) |
0.864502 | + | 0.502629i | \(0.167634\pi\) | |||||||
\(30\) | −1.47858 | + | 1.67744i | −0.269951 | + | 0.306257i | ||||
\(31\) | −2.94395 | + | 2.94395i | −0.528749 | + | 0.528749i | −0.920199 | − | 0.391450i | \(-0.871974\pi\) |
0.391450 | + | 0.920199i | \(0.371974\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −1.47307 | + | 2.55143i | −0.256428 | + | 0.444147i | ||||
\(34\) | −2.78148 | + | 2.78148i | −0.477019 | + | 0.477019i | ||||
\(35\) | −0.518473 | − | 8.22851i | −0.0876380 | − | 1.39087i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | −1.96180 | + | 1.13265i | −0.322519 | + | 0.186206i | −0.652515 | − | 0.757776i | \(-0.726286\pi\) |
0.329996 | + | 0.943982i | \(0.392953\pi\) | |||||||
\(38\) | −5.73600 | − | 5.73600i | −0.930503 | − | 0.930503i | ||||
\(39\) | −3.23870 | − | 1.58455i | −0.518607 | − | 0.253731i | ||||
\(40\) | 1.23760 | + | 1.86235i | 0.195681 | + | 0.294464i | ||||
\(41\) | −2.80230 | − | 0.750873i | −0.437645 | − | 0.117267i | 0.0332674 | − | 0.999446i | \(-0.489409\pi\) |
−0.470913 | + | 0.882180i | \(0.656075\pi\) | |||||||
\(42\) | 0.954318 | − | 3.56156i | 0.147254 | − | 0.549561i | ||||
\(43\) | −3.65834 | + | 0.980250i | −0.557892 | + | 0.149487i | −0.526738 | − | 0.850028i | \(-0.676585\pi\) |
−0.0311543 | + | 0.999515i | \(0.509918\pi\) | |||||||
\(44\) | 2.08323 | + | 2.08323i | 0.314059 | + | 0.314059i | ||||
\(45\) | 0.140614 | + | 2.23164i | 0.0209616 | + | 0.332674i | ||||
\(46\) | −7.08152 | + | 1.89749i | −1.04411 | + | 0.279769i | ||||
\(47\) | − | 12.3470i | − | 1.80099i | −0.434868 | − | 0.900494i | \(-0.643205\pi\) | ||
0.434868 | − | 0.900494i | \(-0.356795\pi\) | |||||||
\(48\) | 0.258819 | + | 0.965926i | 0.0373573 | + | 0.139419i | ||||
\(49\) | 3.29773 | + | 5.71183i | 0.471104 | + | 0.815976i | ||||
\(50\) | 4.96046 | − | 0.627602i | 0.701514 | − | 0.0887563i | ||||
\(51\) | 3.93360i | 0.550814i | ||||||||
\(52\) | −2.36880 | + | 2.71823i | −0.328493 | + | 0.376951i | ||||
\(53\) | −0.952075 | + | 0.952075i | −0.130778 | + | 0.130778i | −0.769466 | − | 0.638688i | \(-0.779477\pi\) |
0.638688 | + | 0.769466i | \(0.279477\pi\) | |||||||
\(54\) | −0.258819 | + | 0.965926i | −0.0352208 | + | 0.131446i | ||||
\(55\) | 6.24348 | − | 2.10182i | 0.841870 | − | 0.283409i | ||||
\(56\) | −3.19321 | − | 1.84360i | −0.426711 | − | 0.246361i | ||||
\(57\) | −8.11193 | −1.07445 | ||||||||
\(58\) | −4.63913 | − | 2.67840i | −0.609147 | − | 0.351691i | ||||
\(59\) | 1.76659 | + | 6.59302i | 0.229991 | + | 0.858338i | 0.980343 | + | 0.197300i | \(0.0632172\pi\) |
−0.750352 | + | 0.661038i | \(0.770116\pi\) | |||||||
\(60\) | 2.19199 | + | 0.441768i | 0.282985 | + | 0.0570321i | ||||
\(61\) | 4.93418 | − | 8.54626i | 0.631758 | − | 1.09424i | −0.355435 | − | 0.934701i | \(-0.615667\pi\) |
0.987192 | − | 0.159535i | \(-0.0509995\pi\) | |||||||
\(62\) | 4.02151 | + | 1.07756i | 0.510733 | + | 0.136850i | ||||
\(63\) | −1.84360 | − | 3.19321i | −0.232272 | − | 0.402307i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.08984 | + | 7.44667i | 0.383247 | + | 0.923646i | ||||
\(66\) | 2.94614 | 0.362645 | ||||||||
\(67\) | 6.56871 | + | 11.3773i | 0.802496 | + | 1.38996i | 0.917969 | + | 0.396653i | \(0.129828\pi\) |
−0.115473 | + | 0.993311i | \(0.536838\pi\) | |||||||
\(68\) | 3.79957 | + | 1.01809i | 0.460765 | + | 0.123462i | ||||
\(69\) | −3.66566 | + | 6.34911i | −0.441294 | + | 0.764344i | ||||
\(70\) | −6.86687 | + | 4.56327i | −0.820747 | + | 0.545415i | ||||
\(71\) | 0.620887 | + | 2.31718i | 0.0736858 | + | 0.274999i | 0.992932 | − | 0.118684i | \(-0.0378675\pi\) |
−0.919246 | + | 0.393683i | \(0.871201\pi\) | |||||||
\(72\) | 0.866025 | + | 0.500000i | 0.102062 | + | 0.0589256i | ||||
\(73\) | 8.67586 | 1.01543 | 0.507716 | − | 0.861524i | \(-0.330490\pi\) | ||||
0.507716 | + | 0.861524i | \(0.330490\pi\) | |||||||
\(74\) | 1.96180 | + | 1.13265i | 0.228055 | + | 0.131668i | ||||
\(75\) | 3.06379 | − | 3.95135i | 0.353776 | − | 0.456263i | ||||
\(76\) | −2.09952 | + | 7.83553i | −0.240832 | + | 0.898797i | ||||
\(77\) | −7.68130 | + | 7.68130i | −0.875366 | + | 0.875366i | ||||
\(78\) | 0.247089 | + | 3.59707i | 0.0279773 | + | 0.407289i | ||||
\(79\) | 10.8193i | 1.21727i | 0.793452 | + | 0.608633i | \(0.208282\pi\) | ||||
−0.793452 | + | 0.608633i | \(0.791718\pi\) | |||||||
\(80\) | 0.994046 | − | 2.00297i | 0.111138 | − | 0.223938i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 0.750873 | + | 2.80230i | 0.0829201 | + | 0.309462i | ||||
\(83\) | 10.4646i | 1.14864i | 0.818632 | + | 0.574318i | \(0.194733\pi\) | ||||
−0.818632 | + | 0.574318i | \(0.805267\pi\) | |||||||
\(84\) | −3.56156 | + | 0.954318i | −0.388598 | + | 0.104125i | ||||
\(85\) | 5.81615 | − | 6.59838i | 0.630850 | − | 0.715694i | ||||
\(86\) | 2.67809 | + | 2.67809i | 0.288786 | + | 0.288786i | ||||
\(87\) | −5.17428 | + | 1.38644i | −0.554741 | + | 0.148642i | ||||
\(88\) | 0.762517 | − | 2.84575i | 0.0812846 | − | 0.303358i | ||||
\(89\) | −9.57642 | − | 2.56600i | −1.01510 | − | 0.271995i | −0.287341 | − | 0.957828i | \(-0.592771\pi\) |
−0.727758 | + | 0.685834i | \(0.759438\pi\) | |||||||
\(90\) | 1.86235 | − | 1.23760i | 0.196309 | − | 0.130454i | ||||
\(91\) | −10.0227 | − | 8.73423i | −1.05066 | − | 0.915597i | ||||
\(92\) | 5.18403 | + | 5.18403i | 0.540473 | + | 0.540473i | ||||
\(93\) | 3.60559 | − | 2.08169i | 0.373882 | − | 0.215861i | ||||
\(94\) | −10.6928 | + | 6.17348i | −1.10288 | + | 0.636746i | ||||
\(95\) | 13.6073 | + | 11.9941i | 1.39608 | + | 1.23057i | ||||
\(96\) | 0.707107 | − | 0.707107i | 0.0721688 | − | 0.0721688i | ||||
\(97\) | −1.60370 | + | 2.77769i | −0.162831 | + | 0.282032i | −0.935883 | − | 0.352311i | \(-0.885396\pi\) |
0.773052 | + | 0.634343i | \(0.218729\pi\) | |||||||
\(98\) | 3.29773 | − | 5.71183i | 0.333121 | − | 0.576982i | ||||
\(99\) | 2.08323 | − | 2.08323i | 0.209373 | − | 0.209373i | ||||
\(100\) | −3.02375 | − | 3.98208i | −0.302375 | − | 0.398208i | ||||
\(101\) | 6.82771 | − | 3.94198i | 0.679382 | − | 0.392241i | −0.120240 | − | 0.992745i | \(-0.538366\pi\) |
0.799622 | + | 0.600503i | \(0.205033\pi\) | |||||||
\(102\) | 3.40660 | − | 1.96680i | 0.337304 | − | 0.194742i | ||||
\(103\) | −2.29199 | − | 2.29199i | −0.225837 | − | 0.225837i | 0.585114 | − | 0.810951i | \(-0.301050\pi\) |
−0.810951 | + | 0.585114i | \(0.801050\pi\) | |||||||
\(104\) | 3.53846 | + | 0.692322i | 0.346974 | + | 0.0678878i | ||||
\(105\) | −1.62889 | + | 8.08233i | −0.158963 | + | 0.788754i | ||||
\(106\) | 1.30056 | + | 0.348484i | 0.126321 | + | 0.0338477i | ||||
\(107\) | 4.59079 | − | 17.1331i | 0.443809 | − | 1.65632i | −0.275253 | − | 0.961372i | \(-0.588762\pi\) |
0.719062 | − | 0.694946i | \(-0.244572\pi\) | |||||||
\(108\) | 0.965926 | − | 0.258819i | 0.0929463 | − | 0.0249049i | ||||
\(109\) | −6.45231 | − | 6.45231i | −0.618019 | − | 0.618019i | 0.327004 | − | 0.945023i | \(-0.393961\pi\) |
−0.945023 | + | 0.327004i | \(0.893961\pi\) | |||||||
\(110\) | −4.94197 | − | 4.35610i | −0.471198 | − | 0.415338i | ||||
\(111\) | 2.18811 | − | 0.586302i | 0.207686 | − | 0.0556493i | ||||
\(112\) | 3.68720i | 0.348408i | ||||||||
\(113\) | 2.10512 | + | 7.85641i | 0.198033 | + | 0.739069i | 0.991461 | + | 0.130405i | \(0.0416277\pi\) |
−0.793428 | + | 0.608664i | \(0.791706\pi\) | |||||||
\(114\) | 4.05597 | + | 7.02514i | 0.379876 | + | 0.657965i | ||||
\(115\) | 15.5366 | − | 5.23028i | 1.44880 | − | 0.487726i | ||||
\(116\) | 5.35680i | 0.497367i | ||||||||
\(117\) | 2.71823 | + | 2.36880i | 0.251301 | + | 0.218995i | ||||
\(118\) | 4.82642 | − | 4.82642i | 0.444308 | − | 0.444308i | ||||
\(119\) | −3.75391 | + | 14.0098i | −0.344120 | + | 1.28427i | ||||
\(120\) | −0.713415 | − | 2.11921i | −0.0651255 | − | 0.193456i | ||||
\(121\) | 2.00941 | + | 1.16013i | 0.182674 | + | 0.105467i | ||||
\(122\) | −9.86837 | −0.893440 | ||||||||
\(123\) | 2.51247 | + | 1.45058i | 0.226542 | + | 0.130794i | ||||
\(124\) | −1.07756 | − | 4.02151i | −0.0967678 | − | 0.361142i | ||||
\(125\) | −10.9817 | + | 2.09809i | −0.982234 | + | 0.187659i | ||||
\(126\) | −1.84360 | + | 3.19321i | −0.164241 | + | 0.284474i | ||||
\(127\) | −13.3484 | − | 3.57670i | −1.18448 | − | 0.317381i | −0.387779 | − | 0.921752i | \(-0.626758\pi\) |
−0.796703 | + | 0.604372i | \(0.793424\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 3.78739 | 0.333461 | ||||||||
\(130\) | 4.90409 | − | 6.39921i | 0.430117 | − | 0.561248i | ||||
\(131\) | −10.2728 | −0.897543 | −0.448771 | − | 0.893647i | \(-0.648138\pi\) | ||||
−0.448771 | + | 0.893647i | \(0.648138\pi\) | |||||||
\(132\) | −1.47307 | − | 2.55143i | −0.128214 | − | 0.222074i | ||||
\(133\) | −28.8912 | − | 7.74136i | −2.50518 | − | 0.671261i | ||||
\(134\) | 6.56871 | − | 11.3773i | 0.567450 | − | 0.982852i | ||||
\(135\) | 0.441768 | − | 2.19199i | 0.0380214 | − | 0.188657i | ||||
\(136\) | −1.01809 | − | 3.79957i | −0.0873006 | − | 0.325810i | ||||
\(137\) | −3.26137 | − | 1.88296i | −0.278638 | − | 0.160872i | 0.354169 | − | 0.935182i | \(-0.384764\pi\) |
−0.632807 | + | 0.774310i | \(0.718097\pi\) | |||||||
\(138\) | 7.33133 | 0.624084 | ||||||||
\(139\) | −5.02846 | − | 2.90318i | −0.426508 | − | 0.246245i | 0.271350 | − | 0.962481i | \(-0.412530\pi\) |
−0.697858 | + | 0.716236i | \(0.745863\pi\) | |||||||
\(140\) | 7.38534 | + | 3.66525i | 0.624175 | + | 0.309770i | ||||
\(141\) | −3.19563 | + | 11.9262i | −0.269120 | + | 1.00437i | ||||
\(142\) | 1.69630 | − | 1.69630i | 0.142350 | − | 0.142350i | ||||
\(143\) | 4.66831 | − | 9.54167i | 0.390384 | − | 0.797914i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | 10.7295 | + | 5.32491i | 0.891036 | + | 0.442209i | ||||
\(146\) | −4.33793 | − | 7.51351i | −0.359009 | − | 0.621823i | ||||
\(147\) | −1.70703 | − | 6.37072i | −0.140793 | − | 0.525448i | ||||
\(148\) | − | 2.26530i | − | 0.186206i | ||||||
\(149\) | −7.14371 | + | 1.91415i | −0.585235 | + | 0.156813i | −0.539275 | − | 0.842130i | \(-0.681302\pi\) |
−0.0459607 | + | 0.998943i | \(0.514635\pi\) | |||||||
\(150\) | −4.95387 | − | 0.677643i | −0.404482 | − | 0.0553293i | ||||
\(151\) | 4.50334 | + | 4.50334i | 0.366477 | + | 0.366477i | 0.866191 | − | 0.499714i | \(-0.166561\pi\) |
−0.499714 | + | 0.866191i | \(0.666561\pi\) | |||||||
\(152\) | 7.83553 | − | 2.09952i | 0.635545 | − | 0.170294i | ||||
\(153\) | 1.01809 | − | 3.79957i | 0.0823078 | − | 0.307177i | ||||
\(154\) | 10.4929 | + | 2.81155i | 0.845538 | + | 0.226561i | ||||
\(155\) | −9.12610 | − | 1.83925i | −0.733026 | − | 0.147732i | ||||
\(156\) | 2.99161 | − | 2.01252i | 0.239521 | − | 0.161131i | ||||
\(157\) | −1.82943 | − | 1.82943i | −0.146005 | − | 0.146005i | 0.630326 | − | 0.776331i | \(-0.282921\pi\) |
−0.776331 | + | 0.630326i | \(0.782921\pi\) | |||||||
\(158\) | 9.36978 | − | 5.40965i | 0.745420 | − | 0.430368i | ||||
\(159\) | 1.16605 | − | 0.673219i | 0.0924737 | − | 0.0533897i | ||||
\(160\) | −2.23164 | + | 0.140614i | −0.176427 | + | 0.0111165i | ||||
\(161\) | −19.1146 | + | 19.1146i | −1.50644 | + | 1.50644i | ||||
\(162\) | 0.500000 | − | 0.866025i | 0.0392837 | − | 0.0680414i | ||||
\(163\) | −8.55396 | + | 14.8159i | −0.669998 | + | 1.16047i | 0.307906 | + | 0.951417i | \(0.400372\pi\) |
−0.977904 | + | 0.209054i | \(0.932962\pi\) | |||||||
\(164\) | 2.05142 | − | 2.05142i | 0.160189 | − | 0.160189i | ||||
\(165\) | −6.57473 | + | 0.414269i | −0.511842 | + | 0.0322508i | ||||
\(166\) | 9.06259 | − | 5.23229i | 0.703393 | − | 0.406104i | ||||
\(167\) | 1.98761 | − | 1.14754i | 0.153806 | − | 0.0887997i | −0.421122 | − | 0.907004i | \(-0.638364\pi\) |
0.574928 | + | 0.818204i | \(0.305030\pi\) | |||||||
\(168\) | 2.60724 | + | 2.60724i | 0.201153 | + | 0.201153i | ||||
\(169\) | 12.0414 | + | 4.89951i | 0.926260 | + | 0.376885i | ||||
\(170\) | −8.62243 | − | 1.73774i | −0.661311 | − | 0.133279i | ||||
\(171\) | 7.83553 | + | 2.09952i | 0.599198 | + | 0.160555i | ||||
\(172\) | 0.980250 | − | 3.65834i | 0.0747433 | − | 0.278946i | ||||
\(173\) | 20.6272 | − | 5.52705i | 1.56826 | − | 0.420214i | 0.632992 | − | 0.774158i | \(-0.281827\pi\) |
0.935266 | + | 0.353945i | \(0.115160\pi\) | |||||||
\(174\) | 3.78783 | + | 3.78783i | 0.287155 | + | 0.287155i | ||||
\(175\) | 14.6827 | − | 11.1492i | 1.10991 | − | 0.842797i | ||||
\(176\) | −2.84575 | + | 0.762517i | −0.214507 | + | 0.0574769i | ||||
\(177\) | − | 6.82559i | − | 0.513043i | ||||||
\(178\) | 2.56600 | + | 9.57642i | 0.192329 | + | 0.717783i | ||||
\(179\) | 0.651952 | + | 1.12921i | 0.0487292 | + | 0.0844014i | 0.889361 | − | 0.457205i | \(-0.151150\pi\) |
−0.840632 | + | 0.541607i | \(0.817816\pi\) | |||||||
\(180\) | −2.00297 | − | 0.994046i | −0.149292 | − | 0.0740918i | ||||
\(181\) | 14.5495i | 1.08145i | 0.841198 | + | 0.540727i | \(0.181851\pi\) | ||||
−0.841198 | + | 0.540727i | \(0.818149\pi\) | |||||||
\(182\) | −2.55273 | + | 13.0470i | −0.189221 | + | 0.967109i | ||||
\(183\) | −6.97799 | + | 6.97799i | −0.515828 | + | 0.515828i | ||||
\(184\) | 1.89749 | − | 7.08152i | 0.139885 | − | 0.522056i | ||||
\(185\) | −4.53731 | − | 2.25181i | −0.333590 | − | 0.165556i | ||||
\(186\) | −3.60559 | − | 2.08169i | −0.264375 | − | 0.152637i | ||||
\(187\) | −11.5889 | −0.847467 | ||||||||
\(188\) | 10.6928 | + | 6.17348i | 0.779851 | + | 0.450247i | ||||
\(189\) | 0.954318 | + | 3.56156i | 0.0694164 | + | 0.259066i | ||||
\(190\) | 3.58360 | − | 17.7813i | 0.259981 | − | 1.28999i | ||||
\(191\) | 5.91683 | − | 10.2482i | 0.428127 | − | 0.741537i | −0.568580 | − | 0.822628i | \(-0.692507\pi\) |
0.996707 | + | 0.0810909i | \(0.0258404\pi\) | |||||||
\(192\) | −0.965926 | − | 0.258819i | −0.0697097 | − | 0.0186787i | ||||
\(193\) | 2.54585 | + | 4.40954i | 0.183254 | + | 0.317406i | 0.942987 | − | 0.332830i | \(-0.108003\pi\) |
−0.759733 | + | 0.650236i | \(0.774670\pi\) | |||||||
\(194\) | 3.20740 | 0.230278 | ||||||||
\(195\) | −1.05721 | − | 7.99264i | −0.0757087 | − | 0.572365i | ||||
\(196\) | −6.59545 | −0.471104 | ||||||||
\(197\) | 1.75942 | + | 3.04740i | 0.125353 | + | 0.217118i | 0.921871 | − | 0.387497i | \(-0.126660\pi\) |
−0.796518 | + | 0.604615i | \(0.793327\pi\) | |||||||
\(198\) | −2.84575 | − | 0.762517i | −0.202239 | − | 0.0541897i | ||||
\(199\) | 6.19744 | − | 10.7343i | 0.439325 | − | 0.760933i | −0.558313 | − | 0.829631i | \(-0.688551\pi\) |
0.997638 | + | 0.0686976i | \(0.0218844\pi\) | |||||||
\(200\) | −1.93671 | + | 4.60968i | −0.136946 | + | 0.325954i | ||||
\(201\) | −3.40021 | − | 12.6898i | −0.239833 | − | 0.895068i | ||||
\(202\) | −6.82771 | − | 3.94198i | −0.480396 | − | 0.277357i | ||||
\(203\) | −19.7516 | −1.38629 | ||||||||
\(204\) | −3.40660 | − | 1.96680i | −0.238510 | − | 0.137704i | ||||
\(205\) | −2.06972 | − | 6.14814i | −0.144556 | − | 0.429405i | ||||
\(206\) | −0.838927 | + | 3.13092i | −0.0584508 | + | 0.218141i | ||||
\(207\) | 5.18403 | − | 5.18403i | 0.360315 | − | 0.360315i | ||||
\(208\) | −1.16966 | − | 3.41056i | −0.0811014 | − | 0.236480i | ||||
\(209\) | − | 23.8989i | − | 1.65312i | ||||||
\(210\) | 7.81394 | − | 2.63050i | 0.539213 | − | 0.181522i | ||||
\(211\) | −13.4158 | − | 23.2369i | −0.923583 | − | 1.59969i | −0.793824 | − | 0.608147i | \(-0.791913\pi\) |
−0.129759 | − | 0.991546i | \(-0.541420\pi\) | |||||||
\(212\) | −0.348484 | − | 1.30056i | −0.0239340 | − | 0.0893228i | ||||
\(213\) | − | 2.39892i | − | 0.164372i | ||||||
\(214\) | −17.1331 | + | 4.59079i | −1.17119 | + | 0.313820i | ||||
\(215\) | −6.35312 | − | 5.59997i | −0.433279 | − | 0.381915i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | 14.8281 | − | 3.97318i | 1.00660 | − | 0.269717i | ||||
\(218\) | −2.36171 | + | 8.81402i | −0.159955 | + | 0.596961i | ||||
\(219\) | −8.38023 | − | 2.24548i | −0.566284 | − | 0.151735i | ||||
\(220\) | −1.30151 | + | 6.45792i | −0.0877479 | + | 0.435393i | ||||
\(221\) | −0.971949 | − | 14.1495i | −0.0653804 | − | 0.951796i | ||||
\(222\) | −1.60181 | − | 1.60181i | −0.107506 | − | 0.107506i | ||||
\(223\) | −21.7537 | + | 12.5595i | −1.45673 | + | 0.841046i | −0.998849 | − | 0.0479660i | \(-0.984726\pi\) |
−0.457885 | + | 0.889012i | \(0.651393\pi\) | |||||||
\(224\) | 3.19321 | − | 1.84360i | 0.213355 | − | 0.123181i | ||||
\(225\) | −3.98208 | + | 3.02375i | −0.265472 | + | 0.201583i | ||||
\(226\) | 5.75129 | − | 5.75129i | 0.382570 | − | 0.382570i | ||||
\(227\) | −9.03882 | + | 15.6557i | −0.599928 | + | 1.03910i | 0.392904 | + | 0.919580i | \(0.371471\pi\) |
−0.992831 | + | 0.119525i | \(0.961863\pi\) | |||||||
\(228\) | 4.05597 | − | 7.02514i | 0.268613 | − | 0.465251i | ||||
\(229\) | 8.19344 | − | 8.19344i | 0.541437 | − | 0.541437i | −0.382513 | − | 0.923950i | \(-0.624941\pi\) |
0.923950 | + | 0.382513i | \(0.124941\pi\) | |||||||
\(230\) | −12.2979 | − | 10.8400i | −0.810896 | − | 0.714765i | ||||
\(231\) | 9.40764 | − | 5.43150i | 0.618977 | − | 0.357367i | ||||
\(232\) | 4.63913 | − | 2.67840i | 0.304574 | − | 0.175846i | ||||
\(233\) | 20.2207 | + | 20.2207i | 1.32470 | + | 1.32470i | 0.909919 | + | 0.414785i | \(0.136143\pi\) |
0.414785 | + | 0.909919i | \(0.363857\pi\) | |||||||
\(234\) | 0.692322 | − | 3.53846i | 0.0452585 | − | 0.231316i | ||||
\(235\) | 22.9944 | − | 15.2806i | 1.49999 | − | 0.996793i | ||||
\(236\) | −6.59302 | − | 1.76659i | −0.429169 | − | 0.114995i | ||||
\(237\) | 2.80024 | − | 10.4506i | 0.181895 | − | 0.678842i | ||||
\(238\) | 14.0098 | − | 3.75391i | 0.908119 | − | 0.243330i | ||||
\(239\) | −3.98481 | − | 3.98481i | −0.257756 | − | 0.257756i | 0.566385 | − | 0.824141i | \(-0.308342\pi\) |
−0.824141 | + | 0.566385i | \(0.808342\pi\) | |||||||
\(240\) | −1.47858 | + | 1.67744i | −0.0954419 | + | 0.108278i | ||||
\(241\) | −11.8387 | + | 3.17216i | −0.762595 | + | 0.204337i | −0.619098 | − | 0.785314i | \(-0.712502\pi\) |
−0.143497 | + | 0.989651i | \(0.545835\pi\) | |||||||
\(242\) | − | 2.32027i | − | 0.149153i | ||||||
\(243\) | −0.258819 | − | 0.965926i | −0.0166032 | − | 0.0619642i | ||||
\(244\) | 4.93418 | + | 8.54626i | 0.315879 | + | 0.547118i | ||||
\(245\) | −6.55618 | + | 13.2105i | −0.418859 | + | 0.843986i | ||||
\(246\) | − | 2.90115i | − | 0.184971i | ||||||
\(247\) | 29.1792 | − | 2.00437i | 1.85663 | − | 0.127535i | ||||
\(248\) | −2.94395 | + | 2.94395i | −0.186941 | + | 0.186941i | ||||
\(249\) | 2.70843 | − | 10.1080i | 0.171640 | − | 0.640569i | ||||
\(250\) | 7.30786 | + | 8.46139i | 0.462190 | + | 0.535146i | ||||
\(251\) | −0.934747 | − | 0.539676i | −0.0590007 | − | 0.0340641i | 0.470209 | − | 0.882555i | \(-0.344178\pi\) |
−0.529210 | + | 0.848491i | \(0.677512\pi\) | |||||||
\(252\) | 3.68720 | 0.232272 | ||||||||
\(253\) | −18.7054 | − | 10.7995i | −1.17600 | − | 0.678962i | ||||
\(254\) | 3.57670 | + | 13.3484i | 0.224422 | + | 0.837555i | ||||
\(255\) | −7.32575 | + | 4.86821i | −0.458756 | + | 0.304859i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −5.02566 | − | 1.34662i | −0.313492 | − | 0.0840000i | 0.0986424 | − | 0.995123i | \(-0.468550\pi\) |
−0.412135 | + | 0.911123i | \(0.635217\pi\) | |||||||
\(258\) | −1.89370 | − | 3.27998i | −0.117896 | − | 0.204203i | ||||
\(259\) | 8.35261 | 0.519006 | ||||||||
\(260\) | −7.99392 | − | 1.04746i | −0.495762 | − | 0.0649605i | ||||
\(261\) | 5.35680 | 0.331578 | ||||||||
\(262\) | 5.13642 | + | 8.89655i | 0.317329 | + | 0.549631i | ||||
\(263\) | 10.1069 | + | 2.70814i | 0.623220 | + | 0.166991i | 0.556591 | − | 0.830787i | \(-0.312109\pi\) |
0.0666287 | + | 0.997778i | \(0.478776\pi\) | |||||||
\(264\) | −1.47307 | + | 2.55143i | −0.0906611 | + | 0.157030i | ||||
\(265\) | −2.95138 | − | 0.594814i | −0.181302 | − | 0.0365391i | ||||
\(266\) | 7.74136 | + | 28.8912i | 0.474653 | + | 1.77143i | ||||
\(267\) | 8.58599 | + | 4.95712i | 0.525454 | + | 0.303371i | ||||
\(268\) | −13.1374 | −0.802496 | ||||||||
\(269\) | −11.6065 | − | 6.70100i | −0.707659 | − | 0.408567i | 0.102535 | − | 0.994729i | \(-0.467305\pi\) |
−0.810194 | + | 0.586162i | \(0.800638\pi\) | |||||||
\(270\) | −2.11921 | + | 0.713415i | −0.128971 | + | 0.0434170i | ||||
\(271\) | −1.30945 | + | 4.88695i | −0.0795437 | + | 0.296861i | −0.994225 | − | 0.107314i | \(-0.965775\pi\) |
0.914681 | + | 0.404176i | \(0.132442\pi\) | |||||||
\(272\) | −2.78148 | + | 2.78148i | −0.168652 | + | 0.168652i | ||||
\(273\) | 7.42058 | + | 11.0307i | 0.449114 | + | 0.667607i | ||||
\(274\) | 3.76591i | 0.227507i | ||||||||
\(275\) | 11.6412 | + | 9.02635i | 0.701993 | + | 0.544309i | ||||
\(276\) | −3.66566 | − | 6.34911i | −0.220647 | − | 0.382172i | ||||
\(277\) | 1.48757 | + | 5.55169i | 0.0893794 | + | 0.333569i | 0.996107 | − | 0.0881474i | \(-0.0280946\pi\) |
−0.906728 | + | 0.421716i | \(0.861428\pi\) | |||||||
\(278\) | 5.80636i | 0.348243i | ||||||||
\(279\) | −4.02151 | + | 1.07756i | −0.240762 | + | 0.0645119i | ||||
\(280\) | −0.518473 | − | 8.22851i | −0.0309847 | − | 0.491748i | ||||
\(281\) | 17.9758 | + | 17.9758i | 1.07235 | + | 1.07235i | 0.997170 | + | 0.0751771i | \(0.0239522\pi\) |
0.0751771 | + | 0.997170i | \(0.476048\pi\) | |||||||
\(282\) | 11.9262 | − | 3.19563i | 0.710197 | − | 0.190297i | ||||
\(283\) | 2.37477 | − | 8.86275i | 0.141165 | − | 0.526836i | −0.858731 | − | 0.512427i | \(-0.828747\pi\) |
0.999896 | − | 0.0144091i | \(-0.00458671\pi\) | |||||||
\(284\) | −2.31718 | − | 0.620887i | −0.137500 | − | 0.0368429i | ||||
\(285\) | −10.0393 | − | 15.1073i | −0.594677 | − | 0.894878i | ||||
\(286\) | −10.5975 | + | 0.727958i | −0.626642 | + | 0.0430450i | ||||
\(287\) | 7.56401 | + | 7.56401i | 0.446490 | + | 0.446490i | ||||
\(288\) | −0.866025 | + | 0.500000i | −0.0510310 | + | 0.0294628i | ||||
\(289\) | 1.32223 | − | 0.763387i | 0.0777780 | − | 0.0449051i | ||||
\(290\) | −0.753244 | − | 11.9545i | −0.0442320 | − | 0.701991i | ||||
\(291\) | 2.26797 | − | 2.26797i | 0.132951 | − | 0.132951i | ||||
\(292\) | −4.33793 | + | 7.51351i | −0.253858 | + | 0.439695i | ||||
\(293\) | −5.56995 | + | 9.64744i | −0.325400 | + | 0.563610i | −0.981593 | − | 0.190983i | \(-0.938832\pi\) |
0.656193 | + | 0.754593i | \(0.272166\pi\) | |||||||
\(294\) | −4.66369 | + | 4.66369i | −0.271992 | + | 0.271992i | ||||
\(295\) | −10.0922 | + | 11.4495i | −0.587590 | + | 0.666617i | ||||
\(296\) | −1.96180 | + | 1.13265i | −0.114028 | + | 0.0658339i | ||||
\(297\) | −2.55143 | + | 1.47307i | −0.148049 | + | 0.0854761i | ||||
\(298\) | 5.22956 | + | 5.22956i | 0.302940 | + | 0.302940i | ||||
\(299\) | 11.6169 | − | 23.7440i | 0.671821 | − | 1.37315i | ||||
\(300\) | 1.89008 | + | 4.62900i | 0.109124 | + | 0.267255i | ||||
\(301\) | 13.4890 | + | 3.61438i | 0.777496 | + | 0.208329i | ||||
\(302\) | 1.64834 | − | 6.15168i | 0.0948512 | − | 0.353989i | ||||
\(303\) | −7.61532 | + | 2.04052i | −0.437489 | + | 0.117225i | ||||
\(304\) | −5.73600 | − | 5.73600i | −0.328982 | − | 0.328982i | ||||
\(305\) | 22.0227 | − | 1.38763i | 1.26101 | − | 0.0794557i | ||||
\(306\) | −3.79957 | + | 1.01809i | −0.217207 | + | 0.0582004i | ||||
\(307\) | 31.8543i | 1.81802i | 0.416773 | + | 0.909010i | \(0.363161\pi\) | ||||
−0.416773 | + | 0.909010i | \(0.636839\pi\) | |||||||
\(308\) | −2.81155 | − | 10.4929i | −0.160203 | − | 0.597886i | ||||
\(309\) | 1.62068 | + | 2.80710i | 0.0921974 | + | 0.159691i | ||||
\(310\) | 2.97021 | + | 8.82306i | 0.168697 | + | 0.501116i | ||||
\(311\) | − | 9.69424i | − | 0.549710i | −0.961486 | − | 0.274855i | \(-0.911370\pi\) | ||
0.961486 | − | 0.274855i | \(-0.0886298\pi\) | |||||||
\(312\) | −3.23870 | − | 1.58455i | −0.183355 | − | 0.0897076i | ||||
\(313\) | 12.1109 | − | 12.1109i | 0.684549 | − | 0.684549i | −0.276472 | − | 0.961022i | \(-0.589165\pi\) |
0.961022 | + | 0.276472i | \(0.0891654\pi\) | |||||||
\(314\) | −0.669620 | + | 2.49905i | −0.0377888 | + | 0.141030i | ||||
\(315\) | 3.66525 | − | 7.38534i | 0.206513 | − | 0.416117i | ||||
\(316\) | −9.36978 | − | 5.40965i | −0.527091 | − | 0.304316i | ||||
\(317\) | 0.342702 | 0.0192480 | 0.00962402 | − | 0.999954i | \(-0.496937\pi\) | ||||
0.00962402 | + | 0.999954i | \(0.496937\pi\) | |||||||
\(318\) | −1.16605 | − | 0.673219i | −0.0653888 | − | 0.0377522i | ||||
\(319\) | −4.08465 | − | 15.2441i | −0.228697 | − | 0.853507i | ||||
\(320\) | 1.23760 | + | 1.86235i | 0.0691838 | + | 0.104109i | ||||
\(321\) | −8.86873 | + | 15.3611i | −0.495004 | + | 0.857373i | ||||
\(322\) | 26.1110 | + | 6.99642i | 1.45511 | + | 0.389895i | ||||
\(323\) | −15.9546 | − | 27.6341i | −0.887736 | − | 1.53760i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −10.0443 | + | 14.9703i | −0.557160 | + | 0.830405i | ||||
\(326\) | 17.1079 | 0.947520 | ||||||||
\(327\) | 4.56247 | + | 7.90243i | 0.252305 | + | 0.437005i | ||||
\(328\) | −2.80230 | − | 0.750873i | −0.154731 | − | 0.0414600i | ||||
\(329\) | −22.7629 | + | 39.4264i | −1.25496 | + | 2.17365i | ||||
\(330\) | 3.64613 | + | 5.48675i | 0.200713 | + | 0.302035i | ||||
\(331\) | 6.97963 | + | 26.0483i | 0.383635 | + | 1.43175i | 0.840307 | + | 0.542110i | \(0.182374\pi\) |
−0.456672 | + | 0.889635i | \(0.650959\pi\) | |||||||
\(332\) | −9.06259 | − | 5.23229i | −0.497374 | − | 0.287159i | ||||
\(333\) | −2.26530 | −0.124138 | ||||||||
\(334\) | −1.98761 | − | 1.14754i | −0.108757 | − | 0.0627908i | ||||
\(335\) | −13.0592 | + | 26.3138i | −0.713500 | + | 1.43768i | ||||
\(336\) | 0.954318 | − | 3.56156i | 0.0520623 | − | 0.194299i | ||||
\(337\) | 1.69270 | − | 1.69270i | 0.0922074 | − | 0.0922074i | −0.659498 | − | 0.751706i | \(-0.729231\pi\) |
0.751706 | + | 0.659498i | \(0.229231\pi\) | |||||||
\(338\) | −1.77759 | − | 12.8779i | −0.0966883 | − | 0.700465i | ||||
\(339\) | − | 8.13356i | − | 0.441754i | ||||||
\(340\) | 2.80629 | + | 8.33612i | 0.152192 | + | 0.452089i | ||||
\(341\) | 6.13294 | + | 10.6226i | 0.332117 | + | 0.575244i | ||||
\(342\) | −2.09952 | − | 7.83553i | −0.113529 | − | 0.423697i | ||||
\(343\) | 1.49165i | 0.0805415i | ||||||||
\(344\) | −3.65834 | + | 0.980250i | −0.197245 | + | 0.0528515i | ||||
\(345\) | −16.3609 | + | 1.03089i | −0.880841 | + | 0.0555012i | ||||
\(346\) | −15.1002 | − | 15.1002i | −0.811790 | − | 0.811790i | ||||
\(347\) | −3.81806 | + | 1.02305i | −0.204964 | + | 0.0549201i | −0.359840 | − | 0.933014i | \(-0.617169\pi\) |
0.154876 | + | 0.987934i | \(0.450502\pi\) | |||||||
\(348\) | 1.38644 | − | 5.17428i | 0.0743211 | − | 0.277370i | ||||
\(349\) | −6.30915 | − | 1.69053i | −0.337721 | − | 0.0904921i | 0.0859729 | − | 0.996297i | \(-0.472600\pi\) |
−0.423694 | + | 0.905805i | \(0.639267\pi\) | |||||||
\(350\) | −16.9968 | − | 7.14103i | −0.908518 | − | 0.381704i | ||||
\(351\) | −2.01252 | − | 2.99161i | −0.107421 | − | 0.159681i | ||||
\(352\) | 2.08323 | + | 2.08323i | 0.111037 | + | 0.111037i | ||||
\(353\) | −23.7777 | + | 13.7281i | −1.26556 | + | 0.730671i | −0.974144 | − | 0.225926i | \(-0.927459\pi\) |
−0.291414 | + | 0.956597i | \(0.594126\pi\) | |||||||
\(354\) | −5.91114 | + | 3.41280i | −0.314173 | + | 0.181388i | ||||
\(355\) | −3.54700 | + | 4.02405i | −0.188255 | + | 0.213574i | ||||
\(356\) | 7.01043 | − | 7.01043i | 0.371552 | − | 0.371552i | ||||
\(357\) | 7.25199 | − | 12.5608i | 0.383816 | − | 0.664789i | ||||
\(358\) | 0.651952 | − | 1.12921i | 0.0344567 | − | 0.0596808i | ||||
\(359\) | 2.54684 | − | 2.54684i | 0.134417 | − | 0.134417i | −0.636697 | − | 0.771114i | \(-0.719700\pi\) |
0.771114 | + | 0.636697i | \(0.219700\pi\) | |||||||
\(360\) | 0.140614 | + | 2.23164i | 0.00741103 | + | 0.117618i | ||||
\(361\) | 40.5330 | − | 23.4017i | 2.13332 | − | 1.23167i | ||||
\(362\) | 12.6002 | − | 7.27474i | 0.662253 | − | 0.382352i | ||||
\(363\) | −1.64068 | − | 1.64068i | −0.0861133 | − | 0.0861133i | ||||
\(364\) | 12.5754 | − | 4.31277i | 0.659130 | − | 0.226051i | ||||
\(365\) | 10.7372 | + | 16.1575i | 0.562011 | + | 0.845722i | ||||
\(366\) | 9.53211 | + | 2.55412i | 0.498252 | + | 0.133506i | ||||
\(367\) | −3.11318 | + | 11.6185i | −0.162506 | + | 0.606482i | 0.835839 | + | 0.548975i | \(0.184982\pi\) |
−0.998345 | + | 0.0575071i | \(0.981685\pi\) | |||||||
\(368\) | −7.08152 | + | 1.89749i | −0.369150 | + | 0.0989133i | ||||
\(369\) | −2.05142 | − | 2.05142i | −0.106793 | − | 0.106793i | ||||
\(370\) | 0.318533 | + | 5.05533i | 0.0165598 | + | 0.262814i | ||||
\(371\) | 4.79542 | − | 1.28493i | 0.248966 | − | 0.0667102i | ||||
\(372\) | 4.16338i | 0.215861i | ||||||||
\(373\) | 7.90723 | + | 29.5102i | 0.409421 | + | 1.52798i | 0.795753 | + | 0.605621i | \(0.207075\pi\) |
−0.386332 | + | 0.922360i | \(0.626258\pi\) | |||||||
\(374\) | 5.79447 | + | 10.0363i | 0.299625 | + | 0.518965i | ||||
\(375\) | 11.1505 | + | 0.815673i | 0.575812 | + | 0.0421211i | ||||
\(376\) | − | 12.3470i | − | 0.636746i | ||||||
\(377\) | 18.2697 | − | 6.26564i | 0.940936 | − | 0.322697i | ||||
\(378\) | 2.60724 | − | 2.60724i | 0.134102 | − | 0.134102i | ||||
\(379\) | 6.78244 | − | 25.3124i | 0.348391 | − | 1.30021i | −0.540210 | − | 0.841530i | \(-0.681655\pi\) |
0.888601 | − | 0.458682i | \(-0.151678\pi\) | |||||||
\(380\) | −17.1909 | + | 5.78717i | −0.881873 | + | 0.296876i | ||||
\(381\) | 11.9679 | + | 6.90965i | 0.613133 | + | 0.353992i | ||||
\(382\) | −11.8337 | −0.605462 | ||||||||
\(383\) | 18.0734 | + | 10.4347i | 0.923507 | + | 0.533187i | 0.884752 | − | 0.466062i | \(-0.154328\pi\) |
0.0387549 | + | 0.999249i | \(0.487661\pi\) | |||||||
\(384\) | 0.258819 | + | 0.965926i | 0.0132078 | + | 0.0492922i | ||||
\(385\) | −23.8116 | − | 4.79893i | −1.21355 | − | 0.244576i | ||||
\(386\) | 2.54585 | − | 4.40954i | 0.129580 | − | 0.224440i | ||||
\(387\) | −3.65834 | − | 0.980250i | −0.185964 | − | 0.0498289i | ||||
\(388\) | −1.60370 | − | 2.77769i | −0.0814155 | − | 0.141016i | ||||
\(389\) | −19.1719 | −0.972054 | −0.486027 | − | 0.873944i | \(-0.661554\pi\) | ||||
−0.486027 | + | 0.873944i | \(0.661554\pi\) | |||||||
\(390\) | −6.39322 | + | 4.91189i | −0.323733 | + | 0.248723i | ||||
\(391\) | −28.8385 | −1.45843 | ||||||||
\(392\) | 3.29773 | + | 5.71183i | 0.166560 | + | 0.288491i | ||||
\(393\) | 9.92281 | + | 2.65881i | 0.500540 | + | 0.134119i | ||||
\(394\) | 1.75942 | − | 3.04740i | 0.0886381 | − | 0.153526i | ||||
\(395\) | −20.1493 | + | 13.3899i | −1.01382 | + | 0.673720i | ||||
\(396\) | 0.762517 | + | 2.84575i | 0.0383179 | + | 0.143004i | ||||
\(397\) | −8.64291 | − | 4.98999i | −0.433775 | − | 0.250440i | 0.267178 | − | 0.963647i | \(-0.413909\pi\) |
−0.700954 | + | 0.713207i | \(0.747242\pi\) | |||||||
\(398\) | −12.3949 | −0.621299 | ||||||||
\(399\) | 25.9031 | + | 14.9552i | 1.29678 | + | 0.748695i | ||||
\(400\) | 4.96046 | − | 0.627602i | 0.248023 | − | 0.0313801i | ||||
\(401\) | 2.77303 | − | 10.3491i | 0.138479 | − | 0.516809i | −0.861481 | − | 0.507790i | \(-0.830463\pi\) |
0.999959 | − | 0.00901876i | \(-0.00287080\pi\) | |||||||
\(402\) | −9.28956 | + | 9.28956i | −0.463321 | + | 0.463321i | ||||
\(403\) | −12.4552 | + | 8.37889i | −0.620438 | + | 0.417382i | ||||
\(404\) | 7.88396i | 0.392241i | ||||||||
\(405\) | −0.994046 | + | 2.00297i | −0.0493945 | + | 0.0995282i | ||||
\(406\) | 9.87581 | + | 17.1054i | 0.490128 | + | 0.848927i | ||||
\(407\) | 1.72733 | + | 6.44647i | 0.0856204 | + | 0.319540i | ||||
\(408\) | 3.93360i | 0.194742i | ||||||||
\(409\) | 5.77688 | − | 1.54791i | 0.285648 | − | 0.0765393i | −0.113150 | − | 0.993578i | \(-0.536094\pi\) |
0.398798 | + | 0.917039i | \(0.369427\pi\) | |||||||
\(410\) | −4.28959 | + | 4.86650i | −0.211848 | + | 0.240340i | ||||
\(411\) | 2.66290 | + | 2.66290i | 0.131351 | + | 0.131351i | ||||
\(412\) | 3.13092 | − | 0.838927i | 0.154249 | − | 0.0413310i | ||||
\(413\) | 6.51379 | − | 24.3098i | 0.320522 | − | 1.19621i | ||||
\(414\) | −7.08152 | − | 1.89749i | −0.348038 | − | 0.0932564i | ||||
\(415\) | −19.4887 | + | 12.9509i | −0.956664 | + | 0.635736i | ||||
\(416\) | −2.36880 | + | 2.71823i | −0.116140 | + | 0.133272i | ||||
\(417\) | 4.10572 | + | 4.10572i | 0.201058 | + | 0.201058i | ||||
\(418\) | −20.6970 | + | 11.9494i | −1.01233 | + | 0.584466i | ||||
\(419\) | 4.96010 | − | 2.86371i | 0.242317 | − | 0.139902i | −0.373924 | − | 0.927459i | \(-0.621988\pi\) |
0.616241 | + | 0.787558i | \(0.288655\pi\) | |||||||
\(420\) | −6.18505 | − | 5.45182i | −0.301800 | − | 0.266022i | ||||
\(421\) | 24.6539 | − | 24.6539i | 1.20156 | − | 1.20156i | 0.227867 | − | 0.973692i | \(-0.426825\pi\) |
0.973692 | − | 0.227867i | \(-0.0731751\pi\) | |||||||
\(422\) | −13.4158 | + | 23.2369i | −0.653072 | + | 1.13115i | ||||
\(423\) | 6.17348 | − | 10.6928i | 0.300165 | − | 0.519901i | ||||
\(424\) | −0.952075 | + | 0.952075i | −0.0462369 | + | 0.0462369i | ||||
\(425\) | 19.4865 | + | 2.66558i | 0.945236 | + | 0.129300i | ||||
\(426\) | −2.07753 | + | 1.19946i | −0.100657 | + | 0.0581141i | ||||
\(427\) | −31.5118 | + | 18.1933i | −1.52496 | + | 0.880437i | ||||
\(428\) | 12.5423 | + | 12.5423i | 0.606254 | + | 0.606254i | ||||
\(429\) | −6.97881 | + | 8.00829i | −0.336940 | + | 0.386644i | ||||
\(430\) | −1.67315 | + | 8.30195i | −0.0806865 | + | 0.400356i | ||||
\(431\) | 4.72288 | + | 1.26549i | 0.227493 | + | 0.0609566i | 0.370765 | − | 0.928727i | \(-0.379096\pi\) |
−0.143272 | + | 0.989683i | \(0.545762\pi\) | |||||||
\(432\) | −0.258819 | + | 0.965926i | −0.0124524 | + | 0.0464731i | ||||
\(433\) | 3.96274 | − | 1.06181i | 0.190437 | − | 0.0510274i | −0.162340 | − | 0.986735i | \(-0.551904\pi\) |
0.352777 | + | 0.935707i | \(0.385237\pi\) | |||||||
\(434\) | −10.8549 | − | 10.8549i | −0.521054 | − | 0.521054i | ||||
\(435\) | −8.98571 | − | 7.92046i | −0.430832 | − | 0.379757i | ||||
\(436\) | 8.81402 | − | 2.36171i | 0.422115 | − | 0.113105i | ||||
\(437\) | − | 59.4712i | − | 2.84490i | ||||||
\(438\) | 2.24548 | + | 8.38023i | 0.107293 | + | 0.400423i | ||||
\(439\) | −0.444561 | − | 0.770002i | −0.0212177 | − | 0.0367502i | 0.855222 | − | 0.518263i | \(-0.173421\pi\) |
−0.876439 | + | 0.481512i | \(0.840088\pi\) | |||||||
\(440\) | 6.24348 | − | 2.10182i | 0.297646 | − | 0.100200i | ||||
\(441\) | 6.59545i | 0.314069i | ||||||||
\(442\) | −11.7678 | + | 7.91646i | −0.559738 | + | 0.376548i | ||||
\(443\) | 2.43706 | − | 2.43706i | 0.115788 | − | 0.115788i | −0.646839 | − | 0.762627i | \(-0.723909\pi\) |
0.762627 | + | 0.646839i | \(0.223909\pi\) | |||||||
\(444\) | −0.586302 | + | 2.18811i | −0.0278247 | + | 0.103843i | ||||
\(445\) | −7.07297 | − | 21.0103i | −0.335291 | − | 0.995986i | ||||
\(446\) | 21.7537 | + | 12.5595i | 1.03007 | + | 0.594709i | ||||
\(447\) | 7.39571 | 0.349805 | ||||||||
\(448\) | −3.19321 | − | 1.84360i | −0.150865 | − | 0.0871019i | ||||
\(449\) | 3.19285 | + | 11.9159i | 0.150680 | + | 0.562344i | 0.999437 | + | 0.0335612i | \(0.0106849\pi\) |
−0.848757 | + | 0.528783i | \(0.822648\pi\) | |||||||
\(450\) | 4.60968 | + | 1.93671i | 0.217302 | + | 0.0912973i | ||||
\(451\) | −4.27360 | + | 7.40209i | −0.201236 | + | 0.348551i | ||||
\(452\) | −7.85641 | − | 2.10512i | −0.369535 | − | 0.0990165i | ||||
\(453\) | −3.18434 | − | 5.51545i | −0.149614 | − | 0.259138i | ||||
\(454\) | 18.0776 | 0.848426 | ||||||||
\(455\) | 3.86218 | − | 29.4752i | 0.181062 | − | 1.38182i | ||||
\(456\) | −8.11193 | −0.379876 | ||||||||
\(457\) | 9.04457 | + | 15.6657i | 0.423087 | + | 0.732808i | 0.996240 | − | 0.0866404i | \(-0.0276131\pi\) |
−0.573153 | + | 0.819449i | \(0.694280\pi\) | |||||||
\(458\) | −11.1924 | − | 2.99901i | −0.522988 | − | 0.140134i | ||||
\(459\) | −1.96680 | + | 3.40660i | −0.0918024 | + | 0.159006i | ||||
\(460\) | −3.23875 | + | 16.0702i | −0.151007 | + | 0.749278i | ||||
\(461\) | 4.35995 | + | 16.2715i | 0.203063 | + | 0.757841i | 0.990031 | + | 0.140848i | \(0.0449828\pi\) |
−0.786968 | + | 0.616993i | \(0.788350\pi\) | |||||||
\(462\) | −9.40764 | − | 5.43150i | −0.437683 | − | 0.252696i | ||||
\(463\) | 8.14963 | 0.378745 | 0.189373 | − | 0.981905i | \(-0.439355\pi\) | ||||
0.189373 | + | 0.981905i | \(0.439355\pi\) | |||||||
\(464\) | −4.63913 | − | 2.67840i | −0.215366 | − | 0.124342i | ||||
\(465\) | 8.33910 | + | 4.13859i | 0.386717 | + | 0.191922i | ||||
\(466\) | 7.40130 | − | 27.6220i | 0.342859 | − | 1.27957i | ||||
\(467\) | 13.9799 | − | 13.9799i | 0.646912 | − | 0.646912i | −0.305333 | − | 0.952246i | \(-0.598768\pi\) |
0.952246 | + | 0.305333i | \(0.0987679\pi\) | |||||||
\(468\) | −3.41056 | + | 1.16966i | −0.157653 | + | 0.0540676i | ||||
\(469\) | − | 48.4403i | − | 2.23677i | ||||||
\(470\) | −24.7305 | − | 12.2734i | −1.14073 | − | 0.566131i | ||||
\(471\) | 1.29361 | + | 2.24059i | 0.0596062 | + | 0.103241i | ||||
\(472\) | 1.76659 | + | 6.59302i | 0.0813141 | + | 0.303468i | ||||
\(473\) | 11.1582i | 0.513054i | ||||||||
\(474\) | −10.4506 | + | 2.80024i | −0.480014 | + | 0.128619i | ||||
\(475\) | −5.49700 | + | 40.1854i | −0.252220 | + | 1.84383i | ||||
\(476\) | −10.2559 | − | 10.2559i | −0.470077 | − | 0.470077i | ||||
\(477\) | −1.30056 | + | 0.348484i | −0.0595485 | + | 0.0159560i | ||||
\(478\) | −1.45854 | + | 5.44335i | −0.0667122 | + | 0.248973i | ||||
\(479\) | 2.72948 | + | 0.731362i | 0.124713 | + | 0.0334168i | 0.320636 | − | 0.947203i | \(-0.396103\pi\) |
−0.195923 | + | 0.980619i | \(0.562770\pi\) | |||||||
\(480\) | 2.19199 | + | 0.441768i | 0.100050 | + | 0.0201639i | ||||
\(481\) | −7.72592 | + | 2.64963i | −0.352272 | + | 0.120813i | ||||
\(482\) | 8.66650 | + | 8.66650i | 0.394748 | + | 0.394748i | ||||
\(483\) | 23.4105 | − | 13.5160i | 1.06521 | − | 0.615001i | ||||
\(484\) | −2.00941 | + | 1.16013i | −0.0913369 | + | 0.0527334i | ||||
\(485\) | −7.15777 | + | 0.451006i | −0.325017 | + | 0.0204791i | ||||
\(486\) | −0.707107 | + | 0.707107i | −0.0320750 | + | 0.0320750i | ||||
\(487\) | 6.12135 | − | 10.6025i | 0.277385 | − | 0.480445i | −0.693349 | − | 0.720602i | \(-0.743866\pi\) |
0.970734 | + | 0.240157i | \(0.0771989\pi\) | |||||||
\(488\) | 4.93418 | − | 8.54626i | 0.223360 | − | 0.386871i | ||||
\(489\) | 12.0971 | − | 12.0971i | 0.547051 | − | 0.547051i | ||||
\(490\) | 14.7187 | − | 0.927415i | 0.664923 | − | 0.0418964i | ||||
\(491\) | −29.4491 | + | 17.0024i | −1.32902 | + | 0.767309i | −0.985148 | − | 0.171708i | \(-0.945072\pi\) |
−0.343871 | + | 0.939017i | \(0.611738\pi\) | |||||||
\(492\) | −2.51247 | + | 1.45058i | −0.113271 | + | 0.0653970i | ||||
\(493\) | −14.8998 | − | 14.8998i | −0.671054 | − | 0.671054i | ||||
\(494\) | −16.3255 | − | 24.2678i | −0.734517 | − | 1.09186i | ||||
\(495\) | 6.45792 | + | 1.30151i | 0.290262 | + | 0.0584986i | ||||
\(496\) | 4.02151 | + | 1.07756i | 0.180571 | + | 0.0483839i | ||||
\(497\) | 2.28934 | − | 8.54392i | 0.102691 | − | 0.383247i | ||||
\(498\) | −10.1080 | + | 2.70843i | −0.452951 | + | 0.121368i | ||||
\(499\) | 13.5016 | + | 13.5016i | 0.604414 | + | 0.604414i | 0.941481 | − | 0.337067i | \(-0.109435\pi\) |
−0.337067 | + | 0.941481i | \(0.609435\pi\) | |||||||
\(500\) | 3.67385 | − | 10.5595i | 0.164300 | − | 0.472235i | ||||
\(501\) | −2.21689 | + | 0.594013i | −0.0990431 | + | 0.0265385i | ||||
\(502\) | 1.07935i | 0.0481739i | ||||||||
\(503\) | −0.375901 | − | 1.40288i | −0.0167606 | − | 0.0625515i | 0.957039 | − | 0.289959i | \(-0.0936417\pi\) |
−0.973800 | + | 0.227408i | \(0.926975\pi\) | |||||||
\(504\) | −1.84360 | − | 3.19321i | −0.0821205 | − | 0.142237i | ||||
\(505\) | 15.7913 | + | 7.83701i | 0.702704 | + | 0.348742i | ||||
\(506\) | 21.5991i | 0.960197i | ||||||||
\(507\) | −10.3630 | − | 7.84910i | −0.460237 | − | 0.348591i | ||||
\(508\) | 9.77173 | − | 9.77173i | 0.433550 | − | 0.433550i | ||||
\(509\) | −0.337646 | + | 1.26011i | −0.0149659 | + | 0.0558534i | −0.973005 | − | 0.230784i | \(-0.925871\pi\) |
0.958039 | + | 0.286638i | \(0.0925375\pi\) | |||||||
\(510\) | 7.87887 | + | 3.91018i | 0.348882 | + | 0.173146i | ||||
\(511\) | −27.7038 | − | 15.9948i | −1.22555 | − | 0.707569i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −7.02514 | − | 4.05597i | −0.310168 | − | 0.179075i | ||||
\(514\) | 1.34662 | + | 5.02566i | 0.0593970 | + | 0.221672i | ||||
\(515\) | 1.43193 | − | 7.10505i | 0.0630985 | − | 0.313086i | ||||
\(516\) | −1.89370 | + | 3.27998i | −0.0833654 | + | 0.144393i | ||||
\(517\) | −35.1364 | − | 9.41476i | −1.54530 | − | 0.414061i | ||||
\(518\) | −4.17630 | − | 7.23357i | −0.183496 | − | 0.317825i | ||||
\(519\) | −21.3549 | −0.937375 | ||||||||
\(520\) | 3.08984 | + | 7.44667i | 0.135498 | + | 0.326558i | ||||
\(521\) | −5.16162 | −0.226135 | −0.113067 | − | 0.993587i | \(-0.536068\pi\) | ||||
−0.113067 | + | 0.993587i | \(0.536068\pi\) | |||||||
\(522\) | −2.67840 | − | 4.63913i | −0.117230 | − | 0.203049i | ||||
\(523\) | 23.9820 | + | 6.42597i | 1.04866 | + | 0.280988i | 0.741698 | − | 0.670734i | \(-0.234021\pi\) |
0.306963 | + | 0.951721i | \(0.400687\pi\) | |||||||
\(524\) | 5.13642 | − | 8.89655i | 0.224386 | − | 0.388647i | ||||
\(525\) | −17.0680 | + | 6.96909i | −0.744910 | + | 0.304156i | ||||
\(526\) | −2.70814 | − | 10.1069i | −0.118081 | − | 0.440683i | ||||
\(527\) | 14.1830 | + | 8.18853i | 0.617819 | + | 0.356698i | ||||
\(528\) | 2.94614 | 0.128214 | ||||||||
\(529\) | −26.6288 | − | 15.3742i | −1.15778 | − | 0.668442i | ||||
\(530\) | 0.960568 | + | 2.85338i | 0.0417244 | + | 0.123943i | ||||
\(531\) | −1.76659 | + | 6.59302i | −0.0766636 | + | 0.286113i | ||||
\(532\) | 21.1498 | − | 21.1498i | 0.916960 | − | 0.916960i | ||||
\(533\) | −9.39597 | − | 4.59703i | −0.406985 | − | 0.199119i | ||||
\(534\) | − | 9.91424i | − | 0.429031i | ||||||
\(535\) | 37.5894 | − | 12.6542i | 1.62513 | − | 0.547087i | ||||
\(536\) | 6.56871 | + | 11.3773i | 0.283725 | + | 0.491426i | ||||
\(537\) | −0.337475 | − | 1.25947i | −0.0145631 | − | 0.0543503i | ||||
\(538\) | 13.4020i | 0.577801i | ||||||||
\(539\) | 18.7690 | − | 5.02914i | 0.808439 | − | 0.216620i | ||||
\(540\) | 1.67744 | + | 1.47858i | 0.0721855 | + | 0.0636280i | ||||
\(541\) | −1.21403 | − | 1.21403i | −0.0521954 | − | 0.0521954i | 0.680527 | − | 0.732723i | \(-0.261751\pi\) |
−0.732723 | + | 0.680527i | \(0.761751\pi\) | |||||||
\(542\) | 4.88695 | − | 1.30945i | 0.209913 | − | 0.0562459i | ||||
\(543\) | 3.76568 | − | 14.0537i | 0.161601 | − | 0.603103i | ||||
\(544\) | 3.79957 | + | 1.01809i | 0.162905 | + | 0.0436503i | ||||
\(545\) | 4.03111 | − | 20.0018i | 0.172674 | − | 0.856784i | ||||
\(546\) | 5.84256 | − | 11.9417i | 0.250039 | − | 0.511060i | ||||
\(547\) | 30.4542 | + | 30.4542i | 1.30213 | + | 1.30213i | 0.926955 | + | 0.375172i | \(0.122416\pi\) |
0.375172 | + | 0.926955i | \(0.377584\pi\) | |||||||
\(548\) | 3.26137 | − | 1.88296i | 0.139319 | − | 0.0804359i | ||||
\(549\) | 8.54626 | − | 4.93418i | 0.364745 | − | 0.210586i | ||||
\(550\) | 1.99643 | − | 14.5948i | 0.0851281 | − | 0.622323i | ||||
\(551\) | 30.7266 | − | 30.7266i | 1.30900 | − | 1.30900i | ||||
\(552\) | −3.66566 | + | 6.34911i | −0.156021 | + | 0.270236i | ||||
\(553\) | 19.9465 | − | 34.5483i | 0.848210 | − | 1.46914i | ||||
\(554\) | 4.06412 | − | 4.06412i | 0.172668 | − | 0.172668i | ||||
\(555\) | 3.79990 | + | 3.34942i | 0.161297 | + | 0.142175i | ||||
\(556\) | 5.02846 | − | 2.90318i | 0.213254 | − | 0.123122i | ||||
\(557\) | −23.9313 | + | 13.8168i | −1.01400 | + | 0.585435i | −0.912361 | − | 0.409387i | \(-0.865743\pi\) |
−0.101641 | + | 0.994821i | \(0.532409\pi\) | |||||||
\(558\) | 2.94395 | + | 2.94395i | 0.124627 | + | 0.124627i | ||||
\(559\) | −13.6235 | + | 0.935823i | −0.576214 | + | 0.0395811i | ||||
\(560\) | −6.86687 | + | 4.56327i | −0.290178 | + | 0.192833i | ||||
\(561\) | 11.1941 | + | 2.99944i | 0.472613 | + | 0.126636i | ||||
\(562\) | 6.57961 | − | 24.5554i | 0.277544 | − | 1.03581i | ||||
\(563\) | −6.88207 | + | 1.84404i | −0.290045 | + | 0.0777172i | −0.400908 | − | 0.916118i | \(-0.631305\pi\) |
0.110863 | + | 0.993836i | \(0.464639\pi\) | |||||||
\(564\) | −8.73061 | − | 8.73061i | −0.367625 | − | 0.367625i | ||||
\(565\) | −12.0261 | + | 13.6435i | −0.505943 | + | 0.573988i | ||||
\(566\) | −8.86275 | + | 2.37477i | −0.372529 | + | 0.0998189i | ||||
\(567\) | − | 3.68720i | − | 0.154848i | ||||||
\(568\) | 0.620887 | + | 2.31718i | 0.0260519 | + | 0.0972268i | ||||
\(569\) | 6.40701 | + | 11.0973i | 0.268596 | + | 0.465222i | 0.968499 | − | 0.249016i | \(-0.0801070\pi\) |
−0.699904 | + | 0.714237i | \(0.746774\pi\) | |||||||
\(570\) | −8.06363 | + | 16.2479i | −0.337748 | + | 0.680551i | ||||
\(571\) | 27.7231i | 1.16018i | 0.814554 | + | 0.580088i | \(0.196982\pi\) | ||||
−0.814554 | + | 0.580088i | \(0.803018\pi\) | |||||||
\(572\) | 5.92917 | + | 8.81371i | 0.247911 | + | 0.368520i | ||||
\(573\) | −8.36766 | + | 8.36766i | −0.349564 | + | 0.349564i | ||||
\(574\) | 2.76862 | − | 10.3326i | 0.115560 | − | 0.431276i | ||||
\(575\) | 28.9687 | + | 22.4616i | 1.20808 | + | 0.936715i | ||||
\(576\) | 0.866025 | + | 0.500000i | 0.0360844 | + | 0.0208333i | ||||
\(577\) | 13.4871 | 0.561474 | 0.280737 | − | 0.959785i | \(-0.409421\pi\) | ||||
0.280737 | + | 0.959785i | \(0.409421\pi\) | |||||||
\(578\) | −1.32223 | − | 0.763387i | −0.0549973 | − | 0.0317527i | ||||
\(579\) | −1.31783 | − | 4.91821i | −0.0547671 | − | 0.204394i | ||||
\(580\) | −9.97625 | + | 6.62956i | −0.414241 | + | 0.275278i | ||||
\(581\) | 19.2925 | − | 33.4156i | 0.800388 | − | 1.38631i | ||||
\(582\) | −3.09811 | − | 0.830136i | −0.128421 | − | 0.0344102i | ||||
\(583\) | 1.98340 | + | 3.43534i | 0.0821439 | + | 0.142277i | ||||
\(584\) | 8.67586 | 0.359009 | ||||||||
\(585\) | −1.04746 | + | 7.99392i | −0.0433070 | + | 0.330508i | ||||
\(586\) | 11.1399 | 0.460185 | ||||||||
\(587\) | 5.08942 | + | 8.81513i | 0.210063 | + | 0.363839i | 0.951734 | − | 0.306924i | \(-0.0992998\pi\) |
−0.741671 | + | 0.670764i | \(0.765966\pi\) | |||||||
\(588\) | 6.37072 | + | 1.70703i | 0.262724 | + | 0.0703967i | ||||
\(589\) | −16.8865 | + | 29.2483i | −0.695797 | + | 1.20516i | ||||
\(590\) | 14.9617 | + | 3.01533i | 0.615962 | + | 0.124139i | ||||
\(591\) | −0.910741 | − | 3.39893i | −0.0374629 | − | 0.139813i | ||||
\(592\) | 1.96180 | + | 1.13265i | 0.0806297 | + | 0.0465516i | ||||
\(593\) | 2.71984 | 0.111690 | 0.0558452 | − | 0.998439i | \(-0.482215\pi\) | ||||
0.0558452 | + | 0.998439i | \(0.482215\pi\) | |||||||
\(594\) | 2.55143 | + | 1.47307i | 0.104686 | + | 0.0604408i | ||||
\(595\) | −30.7369 | + | 10.3474i | −1.26009 | + | 0.424200i | ||||
\(596\) | 1.91415 | − | 7.14371i | 0.0784067 | − | 0.292618i | ||||
\(597\) | −8.76450 | + | 8.76450i | −0.358707 | + | 0.358707i | ||||
\(598\) | −26.3713 | + | 1.81149i | −1.07840 | + | 0.0740773i | ||||
\(599\) | − | 14.9558i | − | 0.611079i | −0.952179 | − | 0.305540i | \(-0.901163\pi\) | ||
0.952179 | − | 0.305540i | \(-0.0988369\pi\) | |||||||
\(600\) | 3.06379 | − | 3.95135i | 0.125079 | − | 0.161313i | ||||
\(601\) | −15.9466 | − | 27.6203i | −0.650476 | − | 1.12666i | −0.983008 | − | 0.183565i | \(-0.941236\pi\) |
0.332532 | − | 0.943092i | \(-0.392097\pi\) | |||||||
\(602\) | −3.61438 | − | 13.4890i | −0.147311 | − | 0.549772i | ||||
\(603\) | 13.1374i | 0.534997i | ||||||||
\(604\) | −6.15168 | + | 1.64834i | −0.250308 | + | 0.0670699i | ||||
\(605\) | 0.326263 | + | 5.17801i | 0.0132645 | + | 0.210516i | ||||
\(606\) | 5.57480 | + | 5.57480i | 0.226461 | + | 0.226461i | ||||
\(607\) | −34.6067 | + | 9.27282i | −1.40464 | + | 0.376372i | −0.880009 | − | 0.474957i | \(-0.842464\pi\) |
−0.524632 | + | 0.851329i | \(0.675797\pi\) | |||||||
\(608\) | −2.09952 | + | 7.83553i | −0.0851469 | + | 0.317773i | ||||
\(609\) | 19.0786 | + | 5.11209i | 0.773104 | + | 0.207152i | ||||
\(610\) | −12.2131 | − | 18.3784i | −0.494492 | − | 0.744119i | ||||
\(611\) | 8.54807 | − | 43.6892i | 0.345818 | − | 1.76748i | ||||
\(612\) | 2.78148 | + | 2.78148i | 0.112435 | + | 0.112435i | ||||
\(613\) | 6.85777 | − | 3.95933i | 0.276983 | − | 0.159916i | −0.355074 | − | 0.934838i | \(-0.615544\pi\) |
0.632057 | + | 0.774922i | \(0.282211\pi\) | |||||||
\(614\) | 27.5866 | − | 15.9272i | 1.11331 | − | 0.642767i | ||||
\(615\) | 0.407944 | + | 6.47433i | 0.0164499 | + | 0.261070i | ||||
\(616\) | −7.68130 | + | 7.68130i | −0.309489 | + | 0.309489i | ||||
\(617\) | 20.8739 | − | 36.1546i | 0.840350 | − | 1.45553i | −0.0492496 | − | 0.998787i | \(-0.515683\pi\) |
0.889599 | − | 0.456742i | \(-0.150984\pi\) | |||||||
\(618\) | 1.62068 | − | 2.80710i | 0.0651934 | − | 0.112918i | ||||
\(619\) | −14.0868 | + | 14.0868i | −0.566197 | + | 0.566197i | −0.931061 | − | 0.364864i | \(-0.881116\pi\) |
0.364864 | + | 0.931061i | \(0.381116\pi\) | |||||||
\(620\) | 6.15588 | − | 6.98381i | 0.247226 | − | 0.280476i | ||||
\(621\) | −6.34911 | + | 3.66566i | −0.254781 | + | 0.147098i | ||||
\(622\) | −8.39546 | + | 4.84712i | −0.336627 | + | 0.194352i | ||||
\(623\) | 25.8489 | + | 25.8489i | 1.03561 | + | 1.03561i | ||||
\(624\) | 0.247089 | + | 3.59707i | 0.00989147 | + | 0.143998i | ||||
\(625\) | −17.4983 | − | 17.8552i | −0.699933 | − | 0.714209i | ||||
\(626\) | −16.5438 | − | 4.43290i | −0.661224 | − | 0.177174i | ||||
\(627\) | −6.18549 | + | 23.0845i | −0.247024 | + | 0.921908i | ||||
\(628\) | 2.49905 | − | 0.669620i | 0.0997231 | − | 0.0267207i | ||||
\(629\) | 6.30087 | + | 6.30087i | 0.251232 | + | 0.251232i | ||||
\(630\) | −8.22851 | + | 0.518473i | −0.327832 | + | 0.0206565i | ||||
\(631\) | 10.8721 | − | 2.91318i | 0.432813 | − | 0.115972i | −0.0358331 | − | 0.999358i | \(-0.511408\pi\) |
0.468647 | + | 0.883386i | \(0.344742\pi\) | |||||||
\(632\) | 10.8193i | 0.430368i | ||||||||
\(633\) | 6.94454 | + | 25.9174i | 0.276021 | + | 1.03012i | ||||
\(634\) | −0.171351 | − | 0.296788i | −0.00680521 | − | 0.0117870i | ||||
\(635\) | −9.85890 | − | 29.2860i | −0.391238 | − | 1.16218i | ||||
\(636\) | 1.34644i | 0.0533897i | ||||||||
\(637\) | 7.71444 | + | 22.4942i | 0.305657 | + | 0.891251i | ||||
\(638\) | −11.1595 | + | 11.1595i | −0.441808 | + | 0.441808i | ||||
\(639\) | −0.620887 | + | 2.31718i | −0.0245619 | + | 0.0916663i | ||||
\(640\) | 0.994046 | − | 2.00297i | 0.0392931 | − | 0.0791742i | ||||
\(641\) | 33.7235 | + | 19.4703i | 1.33200 | + | 0.769030i | 0.985606 | − | 0.169059i | \(-0.0540728\pi\) |
0.346394 | + | 0.938089i | \(0.387406\pi\) | |||||||
\(642\) | 17.7375 | 0.700042 | ||||||||
\(643\) | −24.5681 | − | 14.1844i | −0.968873 | − | 0.559379i | −0.0699802 | − | 0.997548i | \(-0.522294\pi\) |
−0.898892 | + | 0.438170i | \(0.855627\pi\) | |||||||
\(644\) | −6.99642 | − | 26.1110i | −0.275697 | − | 1.02892i | ||||
\(645\) | 4.68727 | + | 7.05346i | 0.184561 | + | 0.277730i | ||||
\(646\) | −15.9546 | + | 27.6341i | −0.627724 | + | 1.08725i | ||||
\(647\) | 6.69072 | + | 1.79277i | 0.263040 | + | 0.0704812i | 0.387928 | − | 0.921690i | \(-0.373191\pi\) |
−0.124889 | + | 0.992171i | \(0.539857\pi\) | |||||||
\(648\) | 0.500000 | + | 0.866025i | 0.0196419 | + | 0.0340207i | ||||
\(649\) | 20.1091 | 0.789353 | ||||||||
\(650\) | 17.9869 | + | 1.21349i | 0.705503 | + | 0.0475969i | ||||
\(651\) | −15.3512 | −0.601661 | ||||||||
\(652\) | −8.55396 | − | 14.8159i | −0.334999 | − | 0.580235i | ||||
\(653\) | −18.9740 | − | 5.08406i | −0.742508 | − | 0.198954i | −0.132316 | − | 0.991208i | \(-0.542241\pi\) |
−0.610193 | + | 0.792253i | \(0.708908\pi\) | |||||||
\(654\) | 4.56247 | − | 7.90243i | 0.178407 | − | 0.309009i | ||||
\(655\) | −12.7136 | − | 19.1317i | −0.496763 | − | 0.747536i | ||||
\(656\) | 0.750873 | + | 2.80230i | 0.0293167 | + | 0.109411i | ||||
\(657\) | 7.51351 | + | 4.33793i | 0.293130 | + | 0.169239i | ||||
\(658\) | 45.5257 | 1.77478 | ||||||||
\(659\) | −0.440581 | − | 0.254370i | −0.0171626 | − | 0.00990883i | 0.491394 | − | 0.870937i | \(-0.336487\pi\) |
−0.508557 | + | 0.861028i | \(0.669821\pi\) | |||||||
\(660\) | 2.92860 | − | 5.90102i | 0.113995 | − | 0.229697i | ||||
\(661\) | −3.09409 | + | 11.5473i | −0.120346 | + | 0.449137i | −0.999631 | − | 0.0271584i | \(-0.991354\pi\) |
0.879285 | + | 0.476296i | \(0.158021\pi\) | |||||||
\(662\) | 19.0687 | − | 19.0687i | 0.741126 | − | 0.741126i | ||||
\(663\) | −2.72332 | + | 13.9189i | −0.105765 | + | 0.540565i | ||||
\(664\) | 10.4646i | 0.406104i | ||||||||
\(665\) | −21.3385 | − | 63.3862i | −0.827470 | − | 2.45801i | ||||
\(666\) | 1.13265 | + | 1.96180i | 0.0438892 | + | 0.0760184i | ||||
\(667\) | −10.1645 | − | 37.9343i | −0.393570 | − | 1.46882i | ||||
\(668\) | 2.29509i | 0.0887997i | ||||||||
\(669\) | 24.2631 | − | 6.50127i | 0.938064 | − | 0.251354i | ||||
\(670\) | 29.3180 | − | 1.84731i | 1.13265 | − | 0.0713678i | ||||
\(671\) | −20.5581 | − | 20.5581i | −0.793638 | − | 0.793638i | ||||
\(672\) | −3.56156 | + | 0.954318i | −0.137390 | + | 0.0368136i | ||||
\(673\) | −6.87456 | + | 25.6562i | −0.264995 | + | 0.988974i | 0.697259 | + | 0.716819i | \(0.254403\pi\) |
−0.962254 | + | 0.272154i | \(0.912264\pi\) | |||||||
\(674\) | −2.31228 | − | 0.619572i | −0.0890655 | − | 0.0238650i | ||||
\(675\) | 4.62900 | − | 1.89008i | 0.178170 | − | 0.0727491i | ||||
\(676\) | −10.2638 | + | 7.97839i | −0.394761 | + | 0.306861i | ||||
\(677\) | −7.82287 | − | 7.82287i | −0.300657 | − | 0.300657i | 0.540614 | − | 0.841271i | \(-0.318192\pi\) |
−0.841271 | + | 0.540614i | \(0.818192\pi\) | |||||||
\(678\) | −7.04387 | + | 4.06678i | −0.270518 | + | 0.156184i | ||||
\(679\) | 10.2419 | − | 5.91316i | 0.393048 | − | 0.226926i | ||||
\(680\) | 5.81615 | − | 6.59838i | 0.223039 | − | 0.253036i | ||||
\(681\) | 12.7828 | − | 12.7828i | 0.489839 | − | 0.489839i | ||||
\(682\) | 6.13294 | − | 10.6226i | 0.234842 | − | 0.406759i | ||||
\(683\) | 10.0979 | − | 17.4901i | 0.386387 | − | 0.669241i | −0.605574 | − | 0.795789i | \(-0.707056\pi\) |
0.991961 | + | 0.126548i | \(0.0403897\pi\) | |||||||
\(684\) | −5.73600 | + | 5.73600i | −0.219322 | + | 0.219322i | ||||
\(685\) | −0.529541 | − | 8.40417i | −0.0202327 | − | 0.321107i | ||||
\(686\) | 1.29181 | − | 0.745825i | 0.0493214 | − | 0.0284757i | ||||
\(687\) | −10.0349 | + | 5.79363i | −0.382854 | + | 0.221041i | ||||
\(688\) | 2.67809 | + | 2.67809i | 0.102101 | + | 0.102101i | ||||
\(689\) | −4.02802 | + | 2.70974i | −0.153455 | + | 0.103233i | ||||
\(690\) | 9.07323 | + | 13.6535i | 0.345412 | + | 0.519780i | ||||
\(691\) | −11.7139 | − | 3.13872i | −0.445616 | − | 0.119402i | 0.0290313 | − | 0.999579i | \(-0.490758\pi\) |
−0.474647 | + | 0.880176i | \(0.657424\pi\) | |||||||
\(692\) | −5.52705 | + | 20.6272i | −0.210107 | + | 0.784129i | ||||
\(693\) | −10.4929 | + | 2.81155i | −0.398591 | + | 0.106802i | ||||
\(694\) | 2.79502 | + | 2.79502i | 0.106097 | + | 0.106097i | ||||
\(695\) | −0.816458 | − | 12.9577i | −0.0309700 | − | 0.491515i | ||||
\(696\) | −5.17428 | + | 1.38644i | −0.196130 | + | 0.0525530i | ||||
\(697\) | 11.4120i | 0.432259i | ||||||||
\(698\) | 1.69053 | + | 6.30915i | 0.0639876 | + | 0.238805i | ||||
\(699\) | −14.2982 | − | 24.7652i | −0.540808 | − | 0.936708i | ||||
\(700\) | 2.31409 | + | 18.2902i | 0.0874646 | + | 0.691304i | ||||
\(701\) | 12.7429i | 0.481293i | 0.970613 | + | 0.240647i | \(0.0773595\pi\) | ||||
−0.970613 | + | 0.240647i | \(0.922641\pi\) | |||||||
\(702\) | −1.58455 | + | 3.23870i | −0.0598051 | + | 0.122237i | ||||
\(703\) | −12.9938 | + | 12.9938i | −0.490069 | + | 0.490069i | ||||
\(704\) | 0.762517 | − | 2.84575i | 0.0287384 | − | 0.107253i | ||||
\(705\) | −26.1658 | + | 8.80850i | −0.985459 | + | 0.331747i | ||||
\(706\) | 23.7777 | + | 13.7281i | 0.894885 | + | 0.516662i | ||||
\(707\) | −29.0697 | −1.09328 | ||||||||
\(708\) | 5.91114 | + | 3.41280i | 0.222154 | + | 0.128261i | ||||
\(709\) | −2.41602 | − | 9.01670i | −0.0907355 | − | 0.338629i | 0.905603 | − | 0.424126i | \(-0.139419\pi\) |
−0.996338 | + | 0.0854972i | \(0.972752\pi\) | |||||||
\(710\) | 5.25843 | + | 1.05977i | 0.197345 | + | 0.0397724i | ||||
\(711\) | −5.40965 | + | 9.36978i | −0.202878 | + | 0.351394i | ||||
\(712\) | −9.57642 | − | 2.56600i | −0.358892 | − | 0.0961647i | ||||
\(713\) | 15.2615 | + | 26.4338i | 0.571549 | + | 0.989952i | ||||
\(714\) | −14.5040 | −0.542798 | ||||||||
\(715\) | 23.5474 | − | 3.11470i | 0.880624 | − | 0.116483i | ||||
\(716\) | −1.30390 | −0.0487292 | ||||||||
\(717\) | 2.81769 | + | 4.88038i | 0.105228 | + | 0.182261i | ||||
\(718\) | −3.47904 | − | 0.932207i | −0.129837 | − | 0.0347897i | ||||
\(719\) | −18.9523 | + | 32.8264i | −0.706802 | + | 1.22422i | 0.259235 | + | 0.965814i | \(0.416530\pi\) |
−0.966037 | + | 0.258403i | \(0.916804\pi\) | |||||||
\(720\) | 1.86235 | − | 1.23760i | 0.0694058 | − | 0.0461225i | ||||
\(721\) | 3.09329 | + | 11.5443i | 0.115200 | + | 0.429933i | ||||
\(722\) | −40.5330 | − | 23.4017i | −1.50848 | − | 0.870923i | ||||
\(723\) | 12.2563 | 0.455816 | ||||||||
\(724\) | −12.6002 | − | 7.27474i | −0.468283 | − | 0.270363i | ||||
\(725\) | 3.36194 | + | 26.5722i | 0.124859 | + | 0.986866i | ||||
\(726\) | −0.600530 | + | 2.24121i | −0.0222878 | + | 0.0831790i | ||||
\(727\) | −8.59009 | + | 8.59009i | −0.318589 | + | 0.318589i | −0.848225 | − | 0.529636i | \(-0.822328\pi\) |
0.529636 | + | 0.848225i | \(0.322328\pi\) | |||||||
\(728\) | −10.0227 | − | 8.73423i | −0.371465 | − | 0.323712i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 8.62420 | − | 17.3774i | 0.319196 | − | 0.643168i | ||||
\(731\) | 7.44905 | + | 12.9021i | 0.275513 | + | 0.477203i | ||||
\(732\) | −2.55412 | − | 9.53211i | −0.0944031 | − | 0.352317i | ||||
\(733\) | − | 50.9118i | − | 1.88047i | −0.340526 | − | 0.940235i | \(-0.610605\pi\) | ||
0.340526 | − | 0.940235i | \(-0.389395\pi\) | |||||||
\(734\) | 11.6185 | − | 3.11318i | 0.428848 | − | 0.114909i | ||||
\(735\) | 9.75190 | − | 11.0635i | 0.359704 | − | 0.408082i | ||||
\(736\) | 5.18403 | + | 5.18403i | 0.191086 | + | 0.191086i | ||||
\(737\) | 37.3858 | − | 10.0175i | 1.37712 | − | 0.368999i | ||||
\(738\) | −0.750873 | + | 2.80230i | −0.0276400 | + | 0.103154i | ||||
\(739\) | 37.0613 | + | 9.93055i | 1.36332 | + | 0.365301i | 0.865035 | − | 0.501711i | \(-0.167296\pi\) |
0.498287 | + | 0.867012i | \(0.333963\pi\) | |||||||
\(740\) | 4.21878 | − | 2.80352i | 0.155085 | − | 0.103060i | ||||
\(741\) | −28.7037 | − | 5.61607i | −1.05446 | − | 0.206312i | ||||
\(742\) | −3.51049 | − | 3.51049i | −0.128874 | − | 0.128874i | ||||
\(743\) | −36.5195 | + | 21.0845i | −1.33977 | + | 0.773517i | −0.986773 | − | 0.162107i | \(-0.948171\pi\) |
−0.352997 | + | 0.935624i | \(0.614838\pi\) | |||||||
\(744\) | 3.60559 | − | 2.08169i | 0.132187 | − | 0.0763184i | ||||
\(745\) | −12.4059 | − | 10.9352i | −0.454515 | − | 0.400633i | ||||
\(746\) | 21.6030 | − | 21.6030i | 0.790941 | − | 0.790941i | ||||
\(747\) | −5.23229 | + | 9.06259i | −0.191439 | + | 0.331583i | ||||
\(748\) | 5.79447 | − | 10.0363i | 0.211867 | − | 0.366964i | ||||
\(749\) | −46.2459 | + | 46.2459i | −1.68979 | + | 1.68979i | ||||
\(750\) | −4.86888 | − | 10.0645i | −0.177786 | − | 0.367503i | ||||
\(751\) | −22.8142 | + | 13.1718i | −0.832501 | + | 0.480645i | −0.854708 | − | 0.519109i | \(-0.826264\pi\) |
0.0222070 | + | 0.999753i | \(0.492931\pi\) | |||||||
\(752\) | −10.6928 | + | 6.17348i | −0.389925 | + | 0.225124i | ||||
\(753\) | 0.763218 | + | 0.763218i | 0.0278132 | + | 0.0278132i | ||||
\(754\) | −14.5610 | − | 12.6892i | −0.530282 | − | 0.462113i | ||||
\(755\) | −2.81349 | + | 13.9601i | −0.102393 | + | 0.508061i | ||||
\(756\) | −3.56156 | − | 0.954318i | −0.129533 | − | 0.0347082i | ||||
\(757\) | 1.23449 | − | 4.60716i | 0.0448681 | − | 0.167450i | −0.939856 | − | 0.341570i | \(-0.889041\pi\) |
0.984724 | + | 0.174120i | \(0.0557080\pi\) | |||||||
\(758\) | −25.3124 | + | 6.78244i | −0.919389 | + | 0.246349i | ||||
\(759\) | 15.2729 | + | 15.2729i | 0.554370 | + | 0.554370i | ||||
\(760\) | 13.6073 | + | 11.9941i | 0.493588 | + | 0.435073i | ||||
\(761\) | 11.8899 | − | 3.18590i | 0.431010 | − | 0.115489i | −0.0367903 | − | 0.999323i | \(-0.511713\pi\) |
0.467800 | + | 0.883834i | \(0.345047\pi\) | |||||||
\(762\) | − | 13.8193i | − | 0.500621i | ||||||
\(763\) | 8.70809 | + | 32.4991i | 0.315254 | + | 1.17654i | ||||
\(764\) | 5.91683 | + | 10.2482i | 0.214063 | + | 0.370768i | ||||
\(765\) | 8.33612 | − | 2.80629i | 0.301393 | − | 0.101462i | ||||
\(766\) | − | 20.8694i | − | 0.754040i | ||||||
\(767\) | 1.68653 | + | 24.5522i | 0.0608970 | + | 0.886527i | ||||
\(768\) | 0.707107 | − | 0.707107i | 0.0255155 | − | 0.0255155i | ||||
\(769\) | −13.6011 | + | 50.7601i | −0.490470 | + | 1.83046i | 0.0635845 | + | 0.997976i | \(0.479747\pi\) |
−0.554054 | + | 0.832481i | \(0.686920\pi\) | |||||||
\(770\) | 7.74983 | + | 23.0210i | 0.279284 | + | 0.829618i | ||||
\(771\) | 4.50589 | + | 2.60147i | 0.162276 | + | 0.0936898i | ||||
\(772\) | −5.09170 | −0.183254 | ||||||||
\(773\) | 6.99165 | + | 4.03663i | 0.251472 | + | 0.145188i | 0.620438 | − | 0.784255i | \(-0.286955\pi\) |
−0.368966 | + | 0.929443i | \(0.620288\pi\) | |||||||
\(774\) | 0.980250 | + | 3.65834i | 0.0352344 | + | 0.131496i | ||||
\(775\) | −7.86910 | − | 19.2723i | −0.282666 | − | 0.692280i | ||||
\(776\) | −1.60370 | + | 2.77769i | −0.0575694 | + | 0.0997132i | ||||
\(777\) | −8.06800 | − | 2.16181i | −0.289438 | − | 0.0775546i | ||||
\(778\) | 9.58595 | + | 16.6034i | 0.343673 | + | 0.595259i | ||||
\(779\) | −23.5340 | −0.843191 | ||||||||
\(780\) | 7.45044 | + | 3.08075i | 0.266768 | + | 0.110308i | ||||
\(781\) | 7.06756 | 0.252897 | ||||||||
\(782\) | 14.4193 | + | 24.9749i | 0.515632 | + | 0.893100i | ||||
\(783\) | −5.17428 | − | 1.38644i | −0.184914 | − | 0.0495474i | ||||
\(784\) | 3.29773 | − | 5.71183i | 0.117776 | − | 0.203994i | ||||
\(785\) | 1.14295 | − | 5.67115i | 0.0407936 | − | 0.202412i | ||||
\(786\) | −2.65881 | − | 9.92281i | −0.0948366 | − | 0.353935i | ||||
\(787\) | 45.2450 | + | 26.1222i | 1.61281 | + | 0.931157i | 0.988715 | + | 0.149810i | \(0.0478661\pi\) |
0.624096 | + | 0.781347i | \(0.285467\pi\) | |||||||
\(788\) | −3.51883 | −0.125353 | ||||||||
\(789\) | −9.06162 | − | 5.23173i | −0.322602 | − | 0.186255i | ||||
\(790\) | 21.6707 | + | 10.7549i | 0.771008 | + | 0.382641i | ||||
\(791\) | 7.76200 | − | 28.9682i | 0.275985 | − | 1.02999i | ||||
\(792\) | 2.08323 | − | 2.08323i | 0.0740245 | − | 0.0740245i | ||||
\(793\) | 23.3762 | − | 26.8245i | 0.830112 | − | 0.952567i | ||||
\(794\) | 9.97998i | 0.354176i | ||||||||
\(795\) | 2.69687 | + | 1.33842i | 0.0956481 | + | 0.0474689i | ||||
\(796\) | 6.19744 | + | 10.7343i | 0.219662 | + | 0.380467i | ||||
\(797\) | −11.1091 | − | 41.4597i | −0.393504 | − | 1.46858i | −0.824313 | − | 0.566135i | \(-0.808438\pi\) |
0.430809 | − | 0.902443i | \(-0.358228\pi\) | |||||||
\(798\) | − | 29.9103i | − | 1.05881i | ||||||
\(799\) | −46.9131 | + | 12.5703i | −1.65967 | + | 0.444706i | ||||
\(800\) | −3.02375 | − | 3.98208i | −0.106906 | − | 0.140788i | ||||
\(801\) | −7.01043 | − | 7.01043i | −0.247701 | − | 0.247701i | ||||
\(802\) | −10.3491 | + | 2.77303i | −0.365439 | + | 0.0979191i | ||||
\(803\) | 6.61549 | − | 24.6893i | 0.233455 | − | 0.871267i | ||||
\(804\) | 12.6898 | + | 3.40021i | 0.447534 | + | 0.119916i | ||||
\(805\) | −59.2542 | − | 11.9419i | −2.08843 | − | 0.420897i | ||||
\(806\) | 13.4839 | + | 6.59709i | 0.474951 | + | 0.232372i | ||||
\(807\) | 9.47665 | + | 9.47665i | 0.333594 | + | 0.333594i | ||||
\(808\) | 6.82771 | − | 3.94198i | 0.240198 | − | 0.138678i | ||||
\(809\) | −2.44761 | + | 1.41313i | −0.0860534 | + | 0.0496829i | −0.542409 | − | 0.840114i | \(-0.682488\pi\) |
0.456356 | + | 0.889797i | \(0.349154\pi\) | |||||||
\(810\) | 2.23164 | − | 0.140614i | 0.0784119 | − | 0.00494069i | ||||
\(811\) | 9.76865 | − | 9.76865i | 0.343024 | − | 0.343024i | −0.514479 | − | 0.857503i | \(-0.672015\pi\) |
0.857503 | + | 0.514479i | \(0.172015\pi\) | |||||||
\(812\) | 9.87581 | − | 17.1054i | 0.346573 | − | 0.600282i | ||||
\(813\) | 2.52967 | − | 4.38152i | 0.0887195 | − | 0.153667i | ||||
\(814\) | 4.71914 | − | 4.71914i | 0.165406 | − | 0.165406i | ||||
\(815\) | −38.1788 | + | 2.40562i | −1.33734 | + | 0.0842652i | ||||
\(816\) | 3.40660 | − | 1.96680i | 0.119255 | − | 0.0688518i | ||||
\(817\) | −26.6070 | + | 15.3615i | −0.930860 | + | 0.537433i | ||||
\(818\) | −4.22897 | − | 4.22897i | −0.147862 | − | 0.147862i | ||||
\(819\) | −4.31277 | − | 12.5754i | −0.150701 | − | 0.439420i | ||||
\(820\) | 6.35931 | + | 1.28164i | 0.222077 | + | 0.0447567i | ||||
\(821\) | −53.0802 | − | 14.2228i | −1.85251 | − | 0.496379i | −0.852844 | − | 0.522165i | \(-0.825125\pi\) |
−0.999667 | + | 0.0257859i | \(0.991791\pi\) | |||||||
\(822\) | 0.974690 | − | 3.63759i | 0.0339962 | − | 0.126876i | ||||
\(823\) | −5.35052 | + | 1.43367i | −0.186507 | + | 0.0499745i | −0.350864 | − | 0.936427i | \(-0.614112\pi\) |
0.164356 | + | 0.986401i | \(0.447445\pi\) | |||||||
\(824\) | −2.29199 | − | 2.29199i | −0.0798453 | − | 0.0798453i | ||||
\(825\) | −8.90838 | − | 11.7318i | −0.310150 | − | 0.408447i | ||||
\(826\) | −24.3098 | + | 6.51379i | −0.845845 | + | 0.226644i | ||||
\(827\) | 31.8131i | 1.10625i | 0.833098 | + | 0.553126i | \(0.186565\pi\) | ||||
−0.833098 | + | 0.553126i | \(0.813435\pi\) | |||||||
\(828\) | 1.89749 | + | 7.08152i | 0.0659422 | + | 0.246100i | ||||
\(829\) | −5.52347 | − | 9.56694i | −0.191838 | − | 0.332274i | 0.754021 | − | 0.656850i | \(-0.228112\pi\) |
−0.945859 | + | 0.324577i | \(0.894778\pi\) | |||||||
\(830\) | 20.9602 | + | 10.4023i | 0.727539 | + | 0.361068i | ||||
\(831\) | − | 5.74753i | − | 0.199380i | ||||||
\(832\) | 3.53846 | + | 0.692322i | 0.122674 | + | 0.0240019i | ||||
\(833\) | 18.3451 | − | 18.3451i | 0.635620 | − | 0.635620i | ||||
\(834\) | 1.50280 | − | 5.60852i | 0.0520376 | − | 0.194207i | ||||
\(835\) | 4.59699 | + | 2.28142i | 0.159085 | + | 0.0789519i | ||||
\(836\) | 20.6970 | + | 11.9494i | 0.715822 | + | 0.413280i | ||||
\(837\) | 4.16338 | 0.143907 | ||||||||
\(838\) | −4.96010 | − | 2.86371i | −0.171344 | − | 0.0989253i | ||||
\(839\) | −7.14130 | − | 26.6517i | −0.246545 | − | 0.920118i | −0.972601 | − | 0.232482i | \(-0.925315\pi\) |
0.726056 | − | 0.687636i | \(-0.241351\pi\) | |||||||
\(840\) | −1.62889 | + | 8.08233i | −0.0562020 | + | 0.278867i | ||||
\(841\) | −0.152327 | + | 0.263838i | −0.00525266 | + | 0.00909787i | ||||
\(842\) | −33.6779 | − | 9.02397i | −1.16062 | − | 0.310986i | ||||
\(843\) | −12.7108 | − | 22.0158i | −0.437784 | − | 0.758264i | ||||
\(844\) | 26.8316 | 0.923583 | ||||||||
\(845\) | 5.77777 | + | 28.4889i | 0.198761 | + | 0.980048i | ||||
\(846\) | −12.3470 | −0.424497 | ||||||||
\(847\) | −4.27765 | − | 7.40911i | −0.146982 | − | 0.254580i | ||||
\(848\) | 1.30056 | + | 0.348484i | 0.0446614 | + | 0.0119670i | ||||
\(849\) | −4.58770 | + | 7.94612i | −0.157449 | + | 0.272710i | ||||
\(850\) | −7.43481 | − | 18.2086i | −0.255012 | − | 0.624551i | ||||
\(851\) | 4.29837 | + | 16.0417i | 0.147346 | + | 0.549904i | ||||
\(852\) | 2.07753 | + | 1.19946i | 0.0711750 | + | 0.0410929i | ||||
\(853\) | 4.04387 | 0.138460 | 0.0692298 | − | 0.997601i | \(-0.477946\pi\) | ||||
0.0692298 | + | 0.997601i | \(0.477946\pi\) | |||||||
\(854\) | 31.5118 | + | 18.1933i | 1.07831 | + | 0.622563i | ||||
\(855\) | 5.78717 | + | 17.1909i | 0.197917 | + | 0.587915i | ||||
\(856\) | 4.59079 | − | 17.1331i | 0.156910 | − | 0.585597i | ||||
\(857\) | 6.00540 | − | 6.00540i | 0.205141 | − | 0.205141i | −0.597058 | − | 0.802198i | \(-0.703664\pi\) |
0.802198 | + | 0.597058i | \(0.203664\pi\) | |||||||
\(858\) | 10.4248 | + | 2.03968i | 0.355896 | + | 0.0696334i | ||||
\(859\) | 14.6934i | 0.501332i | 0.968074 | + | 0.250666i | \(0.0806496\pi\) | ||||
−0.968074 | + | 0.250666i | \(0.919350\pi\) | |||||||
\(860\) | 8.02627 | − | 2.70198i | 0.273694 | − | 0.0921368i | ||||
\(861\) | −5.34857 | − | 9.26399i | −0.182279 | − | 0.315716i | ||||
\(862\) | −1.26549 | − | 4.72288i | −0.0431028 | − | 0.160862i | ||||
\(863\) | 37.9938i | 1.29332i | 0.762777 | + | 0.646662i | \(0.223836\pi\) | ||||
−0.762777 | + | 0.646662i | \(0.776164\pi\) | |||||||
\(864\) | 0.965926 | − | 0.258819i | 0.0328615 | − | 0.00880520i | ||||
\(865\) | 35.8215 | + | 31.5749i | 1.21797 | + | 1.07358i | ||||
\(866\) | −2.90093 | − | 2.90093i | −0.0985774 | − | 0.0985774i | ||||
\(867\) | −1.47475 | + | 0.395158i | −0.0500852 | + | 0.0134203i | ||||
\(868\) | −3.97318 | + | 14.8281i | −0.134859 | + | 0.503299i | ||||
\(869\) | 30.7890 | + | 8.24989i | 1.04445 | + | 0.279858i | ||||
\(870\) | −2.36647 | + | 11.7421i | −0.0802307 | + | 0.398094i | ||||
\(871\) | 15.3663 | + | 44.8059i | 0.520668 | + | 1.51819i | ||||
\(872\) | −6.45231 | − | 6.45231i | −0.218503 | − | 0.218503i | ||||
\(873\) | −2.77769 | + | 1.60370i | −0.0940105 | + | 0.0542770i | ||||
\(874\) | −51.5036 | + | 29.7356i | −1.74214 | + | 1.00582i | ||||
\(875\) | 38.9350 | + | 13.5462i | 1.31624 | + | 0.457946i | ||||
\(876\) | 6.13476 | − | 6.13476i | 0.207274 | − | 0.207274i | ||||
\(877\) | 26.7231 | − | 46.2858i | 0.902375 | − | 1.56296i | 0.0779723 | − | 0.996956i | \(-0.475155\pi\) |
0.824403 | − | 0.566004i | \(-0.191511\pi\) | |||||||
\(878\) | −0.444561 | + | 0.770002i | −0.0150032 | + | 0.0259863i | ||||
\(879\) | 7.87710 | − | 7.87710i | 0.265688 | − | 0.265688i | ||||
\(880\) | −4.94197 | − | 4.35610i | −0.166594 | − | 0.146844i | ||||
\(881\) | −22.6466 | + | 13.0750i | −0.762982 | + | 0.440508i | −0.830365 | − | 0.557219i | \(-0.811868\pi\) |
0.0673832 | + | 0.997727i | \(0.478535\pi\) | |||||||
\(882\) | 5.71183 | − | 3.29773i | 0.192327 | − | 0.111040i | ||||
\(883\) | 2.17489 | + | 2.17489i | 0.0731907 | + | 0.0731907i | 0.742755 | − | 0.669564i | \(-0.233519\pi\) |
−0.669564 | + | 0.742755i | \(0.733519\pi\) | |||||||
\(884\) | 12.7398 | + | 6.23300i | 0.428485 | + | 0.209638i | ||||
\(885\) | 12.7117 | − | 8.44733i | 0.427298 | − | 0.283954i | ||||
\(886\) | −3.32909 | − | 0.892027i | −0.111843 | − | 0.0299682i | ||||
\(887\) | −9.39478 | + | 35.0618i | −0.315446 | + | 1.17726i | 0.608128 | + | 0.793839i | \(0.291921\pi\) |
−0.923574 | + | 0.383421i | \(0.874746\pi\) | |||||||
\(888\) | 2.18811 | − | 0.586302i | 0.0734281 | − | 0.0196750i | ||||
\(889\) | 36.0303 | + | 36.0303i | 1.20842 | + | 1.20842i | ||||
\(890\) | −14.6590 | + | 16.6305i | −0.491371 | + | 0.557457i | ||||
\(891\) | 2.84575 | − | 0.762517i | 0.0953362 | − | 0.0255453i | ||||
\(892\) | − | 25.1190i | − | 0.841046i | ||||||
\(893\) | −25.9227 | − | 96.7449i | −0.867471 | − | 3.23744i | ||||
\(894\) | −3.69786 | − | 6.40487i | −0.123675 | − | 0.214211i | ||||
\(895\) | −1.29614 | + | 2.61167i | −0.0433252 | + | 0.0872987i | ||||
\(896\) | 3.68720i | 0.123181i | ||||||||
\(897\) | −17.3664 | + | 19.9283i | −0.579848 | + | 0.665385i | ||||
\(898\) | 8.72302 | − | 8.72302i | 0.291091 | − | 0.291091i | ||||
\(899\) | −5.77228 | + | 21.5425i | −0.192516 | + | 0.718481i | ||||
\(900\) | −0.627602 | − | 4.96046i | −0.0209201 | − | 0.165349i | ||||
\(901\) | 4.58677 | + | 2.64818i | 0.152808 | + | 0.0882235i | ||||
\(902\) | 8.54719 | 0.284590 | ||||||||
\(903\) | −12.0939 | − | 6.98244i | −0.402461 | − | 0.232361i | ||||
\(904\) | 2.10512 | + | 7.85641i | 0.0700152 | + | 0.261300i | ||||
\(905\) | −27.0962 | + | 18.0064i | −0.900710 | + | 0.598552i | ||||
\(906\) | −3.18434 | + | 5.51545i | −0.105793 | + | 0.183238i | ||||
\(907\) | 7.17611 | + | 1.92283i | 0.238279 | + | 0.0638466i | 0.375982 | − | 0.926627i | \(-0.377305\pi\) |
−0.137703 | + | 0.990474i | \(0.543972\pi\) | |||||||
\(908\) | −9.03882 | − | 15.6557i | −0.299964 | − | 0.519552i | ||||
\(909\) | 7.88396 | 0.261494 | ||||||||
\(910\) | −27.4574 | + | 11.3929i | −0.910203 | + | 0.377669i | ||||
\(911\) | −41.1547 | −1.36352 | −0.681759 | − | 0.731577i | \(-0.738785\pi\) | ||||
−0.681759 | + | 0.731577i | \(0.738785\pi\) | |||||||
\(912\) | 4.05597 | + | 7.02514i | 0.134306 | + | 0.232626i | ||||
\(913\) | 29.7796 | + | 7.97942i | 0.985560 | + | 0.264080i | ||||
\(914\) | 9.04457 | − | 15.6657i | 0.299168 | − | 0.518174i | ||||
\(915\) | −21.6314 | − | 4.35953i | −0.715112 | − | 0.144122i | ||||
\(916\) | 2.99901 | + | 11.1924i | 0.0990899 | + | 0.369809i | ||||
\(917\) | 32.8034 | + | 18.9390i | 1.08326 | + | 0.625422i | ||||
\(918\) | 3.93360 | 0.129828 | ||||||||
\(919\) | −2.96561 | − | 1.71220i | −0.0978264 | − | 0.0564801i | 0.450289 | − | 0.892883i | \(-0.351321\pi\) |
−0.548115 | + | 0.836403i | \(0.684654\pi\) | |||||||
\(920\) | 15.5366 | − | 5.23028i | 0.512227 | − | 0.172437i | ||||
\(921\) | 8.24450 | − | 30.7689i | 0.271665 | − | 1.01387i | ||||
\(922\) | 11.9116 | − | 11.9116i | 0.392288 | − | 0.392288i | ||||
\(923\) | 0.592747 | + | 8.62911i | 0.0195105 | + | 0.284031i | ||||
\(924\) | 10.8630i | 0.357367i | ||||||||
\(925\) | −1.42171 | − | 11.2369i | −0.0467454 | − | 0.369467i | ||||
\(926\) | −4.07481 | − | 7.05778i | −0.133907 | − | 0.231933i | ||||
\(927\) | −0.838927 | − | 3.13092i | −0.0275540 | − | 0.102833i | ||||
\(928\) | 5.35680i | 0.175846i | ||||||||
\(929\) | 24.8807 | − | 6.66677i | 0.816310 | − | 0.218730i | 0.173578 | − | 0.984820i | \(-0.444467\pi\) |
0.642733 | + | 0.766091i | \(0.277801\pi\) | |||||||
\(930\) | −0.585431 | − | 9.29117i | −0.0191970 | − | 0.304669i | ||||
\(931\) | 37.8315 | + | 37.8315i | 1.23988 | + | 1.23988i | ||||
\(932\) | −27.6220 | + | 7.40130i | −0.904790 | + | 0.242438i | ||||
\(933\) | −2.50905 | + | 9.36392i | −0.0821427 | + | 0.306561i | ||||
\(934\) | −19.0969 | − | 5.11700i | −0.624869 | − | 0.167433i | ||||
\(935\) | −14.3424 | − | 21.5827i | −0.469048 | − | 0.705829i | ||||
\(936\) | 2.71823 | + | 2.36880i | 0.0888483 | + | 0.0774266i | ||||
\(937\) | −21.9487 | − | 21.9487i | −0.717031 | − | 0.717031i | 0.250965 | − | 0.967996i | \(-0.419252\pi\) |
−0.967996 | + | 0.250965i | \(0.919252\pi\) | |||||||
\(938\) | −41.9505 | + | 24.2202i | −1.36973 | + | 0.790816i | ||||
\(939\) | −14.8328 | + | 8.56371i | −0.484050 | + | 0.279466i | ||||
\(940\) | 1.73616 | + | 27.5540i | 0.0566273 | + | 0.898712i | ||||
\(941\) | −11.5453 | + | 11.5453i | −0.376366 | + | 0.376366i | −0.869789 | − | 0.493423i | \(-0.835745\pi\) |
0.493423 | + | 0.869789i | \(0.335745\pi\) | |||||||
\(942\) | 1.29361 | − | 2.24059i | 0.0421480 | − | 0.0730024i | ||||
\(943\) | −10.6346 | + | 18.4197i | −0.346312 | + | 0.599829i | ||||
\(944\) | 4.82642 | − | 4.82642i | 0.157087 | − | 0.157087i | ||||
\(945\) | −5.45182 | + | 6.18505i | −0.177348 | + | 0.201200i | ||||
\(946\) | 9.66327 | − | 5.57909i | 0.314180 | − | 0.181392i | ||||
\(947\) | 0.715640 | − | 0.413175i | 0.0232552 | − | 0.0134264i | −0.488327 | − | 0.872661i | \(-0.662393\pi\) |
0.511583 | + | 0.859234i | \(0.329059\pi\) | |||||||
\(948\) | 7.65040 | + | 7.65040i | 0.248473 | + | 0.248473i | ||||
\(949\) | 30.6992 | + | 6.00649i | 0.996537 | + | 0.194979i | ||||
\(950\) | 37.5501 | − | 15.3322i | 1.21829 | − | 0.497442i | ||||
\(951\) | −0.331024 | − | 0.0886977i | −0.0107342 | − | 0.00287622i | ||||
\(952\) | −3.75391 | + | 14.0098i | −0.121665 | + | 0.454059i | ||||
\(953\) | 42.9151 | − | 11.4991i | 1.39016 | − | 0.372492i | 0.515357 | − | 0.856975i | \(-0.327659\pi\) |
0.874800 | + | 0.484484i | \(0.160993\pi\) | |||||||
\(954\) | 0.952075 | + | 0.952075i | 0.0308246 | + | 0.0308246i | ||||
\(955\) | 26.4085 | − | 1.66398i | 0.854558 | − | 0.0538452i | ||||
\(956\) | 5.44335 | − | 1.45854i | 0.176051 | − | 0.0471726i | ||||
\(957\) | 15.7819i | 0.510156i | ||||||||
\(958\) | −0.731362 | − | 2.72948i | −0.0236292 | − | 0.0881855i | ||||
\(959\) | 6.94284 | + | 12.0253i | 0.224196 | + | 0.388319i | ||||
\(960\) | −0.713415 | − | 2.11921i | −0.0230254 | − | 0.0683971i | ||||
\(961\) | 13.6663i | 0.440848i | ||||||||
\(962\) | 6.15761 | + | 5.36603i | 0.198529 | + | 0.173008i | ||||
\(963\) | 12.5423 | − | 12.5423i | 0.404169 | − | 0.404169i | ||||
\(964\) | 3.17216 | − | 11.8387i | 0.102168 | − | 0.381298i | ||||
\(965\) | −5.06138 | + | 10.1985i | −0.162932 | + | 0.328302i | ||||
\(966\) | −23.4105 | − | 13.5160i | −0.753219 | − | 0.434871i | ||||
\(967\) | −16.8946 | −0.543295 | −0.271647 | − | 0.962397i | \(-0.587568\pi\) | ||||
−0.271647 | + | 0.962397i | \(0.587568\pi\) | |||||||
\(968\) | 2.00941 | + | 1.16013i | 0.0645850 | + | 0.0372881i | ||||
\(969\) | 8.25869 | + | 30.8218i | 0.265307 | + | 0.990140i | ||||
\(970\) | 3.96947 | + | 5.97330i | 0.127452 | + | 0.191791i | ||||
\(971\) | −27.0453 | + | 46.8439i | −0.867925 | + | 1.50329i | −0.00381254 | + | 0.999993i | \(0.501214\pi\) |
−0.864113 | + | 0.503298i | \(0.832120\pi\) | |||||||
\(972\) | 0.965926 | + | 0.258819i | 0.0309821 | + | 0.00830162i | ||||
\(973\) | 10.7046 | + | 18.5409i | 0.343174 | + | 0.594395i | ||||
\(974\) | −12.2427 | −0.392282 | ||||||||
\(975\) | 13.5767 | − | 11.8606i | 0.434802 | − | 0.379842i | ||||
\(976\) | −9.86837 | −0.315879 | ||||||||
\(977\) | 7.47231 | + | 12.9424i | 0.239060 | + | 0.414065i | 0.960445 | − | 0.278470i | \(-0.0898273\pi\) |
−0.721385 | + | 0.692535i | \(0.756494\pi\) | |||||||
\(978\) | −16.5250 | − | 4.42786i | −0.528411 | − | 0.141587i | ||||
\(979\) | −14.6044 | + | 25.2955i | −0.466758 | + | 0.808448i | ||||
\(980\) | −8.16251 | − | 12.2831i | −0.260742 | − | 0.392368i | ||||
\(981\) | −2.36171 | − | 8.81402i | −0.0754036 | − | 0.281410i | ||||
\(982\) | 29.4491 | + | 17.0024i | 0.939758 | + | 0.542570i | ||||
\(983\) | −26.7656 | −0.853689 | −0.426844 | − | 0.904325i | \(-0.640375\pi\) | ||||
−0.426844 | + | 0.904325i | \(0.640375\pi\) | |||||||
\(984\) | 2.51247 | + | 1.45058i | 0.0800947 | + | 0.0462427i | ||||
\(985\) | −3.49788 | + | 7.04810i | −0.111452 | + | 0.224571i | ||||
\(986\) | −5.45371 | + | 20.3535i | −0.173682 | + | 0.648189i | ||||
\(987\) | 32.1915 | − | 32.1915i | 1.02467 | − | 1.02467i | ||||
\(988\) | −12.8538 | + | 26.2721i | −0.408933 | + | 0.835828i | ||||
\(989\) | 27.7666i | 0.882927i | ||||||||
\(990\) | −2.10182 | − | 6.24348i | −0.0668002 | − | 0.198431i | ||||
\(991\) | 19.9714 | + | 34.5915i | 0.634412 | + | 1.09883i | 0.986639 | + | 0.162920i | \(0.0520911\pi\) |
−0.352227 | + | 0.935915i | \(0.614576\pi\) | |||||||
\(992\) | −1.07756 | − | 4.02151i | −0.0342126 | − | 0.127683i | ||||
\(993\) | − | 26.9672i | − | 0.855778i | ||||||
\(994\) | −8.54392 | + | 2.28934i | −0.270997 | + | 0.0726133i | ||||
\(995\) | 27.6609 | − | 1.74290i | 0.876911 | − | 0.0552536i | ||||
\(996\) | 7.39957 | + | 7.39957i | 0.234464 | + | 0.234464i | ||||
\(997\) | 55.9256 | − | 14.9852i | 1.77118 | − | 0.474586i | 0.782250 | − | 0.622965i | \(-0.214072\pi\) |
0.988931 | + | 0.148378i | \(0.0474054\pi\) | |||||||
\(998\) | 4.94192 | − | 18.4435i | 0.156434 | − | 0.583819i | ||||
\(999\) | 2.18811 | + | 0.586302i | 0.0692287 | + | 0.0185498i |
(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 | 390.2.bn.c.67.4 | yes | 32 | |
5.3 | odd | 4 | 390.2.bd.c.223.5 | yes | 32 | ||
13.7 | odd | 12 | 390.2.bd.c.7.5 | ✓ | 32 | ||
65.33 | even | 12 | inner | 390.2.bn.c.163.4 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.c.7.5 | ✓ | 32 | 13.7 | odd | 12 | ||
390.2.bd.c.223.5 | yes | 32 | 5.3 | odd | 4 | ||
390.2.bn.c.67.4 | yes | 32 | 1.1 | even | 1 | trivial | |
390.2.bn.c.163.4 | yes | 32 | 65.33 | even | 12 | inner |