Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(95,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 20, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bc (of order \(30\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 107.16 | ||
Character | \(\chi\) | \(=\) | 462.107 |
Dual form | 462.2.bc.b.95.16 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.104528 | − | 0.994522i | −0.0739128 | − | 0.703233i | ||||
\(3\) | 1.67553 | + | 0.438853i | 0.967369 | + | 0.253372i | ||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | −0.684905 | − | 1.53832i | −0.306299 | − | 0.687959i | 0.693162 | − | 0.720782i | \(-0.256217\pi\) |
−0.999461 | + | 0.0328228i | \(0.989550\pi\) | |||||||
\(6\) | 0.261308 | − | 1.71223i | 0.106678 | − | 0.699013i | ||||
\(7\) | 1.54934 | + | 2.14465i | 0.585597 | + | 0.810603i | ||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 2.61482 | + | 1.47062i | 0.871606 | + | 0.490208i | ||||
\(10\) | −1.45830 | + | 0.841952i | −0.461156 | + | 0.266249i | ||||
\(11\) | 2.83081 | + | 1.72816i | 0.853521 | + | 0.521059i | ||||
\(12\) | −1.73016 | − | 0.0808999i | −0.499454 | − | 0.0233538i | ||||
\(13\) | 1.78780 | + | 2.46070i | 0.495847 | + | 0.682475i | 0.981453 | − | 0.191703i | \(-0.0614009\pi\) |
−0.485606 | + | 0.874178i | \(0.661401\pi\) | |||||||
\(14\) | 1.97095 | − | 1.76503i | 0.526760 | − | 0.471725i | ||||
\(15\) | −0.472484 | − | 2.87808i | −0.121995 | − | 0.743118i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | 0.447807 | − | 4.26060i | 0.108609 | − | 1.03335i | −0.795473 | − | 0.605989i | \(-0.792778\pi\) |
0.904082 | − | 0.427359i | \(-0.140556\pi\) | |||||||
\(18\) | 1.18924 | − | 2.75421i | 0.280308 | − | 0.649175i | ||||
\(19\) | −0.153183 | + | 0.720668i | −0.0351425 | + | 0.165333i | −0.992219 | − | 0.124502i | \(-0.960267\pi\) |
0.957077 | + | 0.289834i | \(0.0936001\pi\) | |||||||
\(20\) | 0.989774 | + | 1.36231i | 0.221320 | + | 0.304621i | ||||
\(21\) | 1.65479 | + | 4.27337i | 0.361104 | + | 0.932525i | ||||
\(22\) | 1.42279 | − | 2.99594i | 0.303340 | − | 0.638737i | ||||
\(23\) | −6.96058 | − | 4.01869i | −1.45138 | − | 0.837955i | −0.452821 | − | 0.891601i | \(-0.649582\pi\) |
−0.998560 | + | 0.0536463i | \(0.982916\pi\) | |||||||
\(24\) | 0.100394 | + | 1.72914i | 0.0204929 | + | 0.352959i | ||||
\(25\) | 1.44831 | − | 1.60851i | 0.289662 | − | 0.321703i | ||||
\(26\) | 2.26034 | − | 2.03522i | 0.443290 | − | 0.399140i | ||||
\(27\) | 3.73582 | + | 3.61160i | 0.718959 | + | 0.695052i | ||||
\(28\) | −1.96138 | − | 1.77566i | −0.370667 | − | 0.335568i | ||||
\(29\) | 2.76393 | − | 8.50649i | 0.513248 | − | 1.57962i | −0.273199 | − | 0.961958i | \(-0.588082\pi\) |
0.786447 | − | 0.617658i | \(-0.211918\pi\) | |||||||
\(30\) | −2.81293 | + | 0.770737i | −0.513568 | + | 0.140717i | ||||
\(31\) | −5.99246 | − | 2.66801i | −1.07628 | − | 0.479189i | −0.209461 | − | 0.977817i | \(-0.567171\pi\) |
−0.866816 | + | 0.498628i | \(0.833838\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 3.98470 | + | 4.13789i | 0.693648 | + | 0.720314i | ||||
\(34\) | −4.28407 | −0.734712 | ||||||||
\(35\) | 2.23801 | − | 3.85227i | 0.378294 | − | 0.651153i | ||||
\(36\) | −2.86344 | − | 0.894836i | −0.477239 | − | 0.149139i | ||||
\(37\) | 4.23672 | + | 4.70535i | 0.696512 | + | 0.773555i | 0.982817 | − | 0.184583i | \(-0.0590936\pi\) |
−0.286304 | + | 0.958139i | \(0.592427\pi\) | |||||||
\(38\) | 0.732732 | + | 0.0770132i | 0.118865 | + | 0.0124932i | ||||
\(39\) | 1.91564 | + | 4.90756i | 0.306747 | + | 0.785839i | ||||
\(40\) | 1.25138 | − | 1.12675i | 0.197861 | − | 0.178155i | ||||
\(41\) | 0.907773 | + | 2.79384i | 0.141770 | + | 0.436324i | 0.996582 | − | 0.0826150i | \(-0.0263272\pi\) |
−0.854811 | + | 0.518939i | \(0.826327\pi\) | |||||||
\(42\) | 4.07699 | − | 2.09241i | 0.629093 | − | 0.322866i | ||||
\(43\) | 6.89588i | 1.05161i | 0.850604 | + | 0.525806i | \(0.176236\pi\) | ||||
−0.850604 | + | 0.525806i | \(0.823764\pi\) | |||||||
\(44\) | −3.12825 | − | 1.10184i | −0.471602 | − | 0.166108i | ||||
\(45\) | 0.471392 | − | 5.02967i | 0.0702709 | − | 0.749779i | ||||
\(46\) | −3.26910 | + | 7.34252i | −0.482002 | + | 1.08259i | ||||
\(47\) | −2.33594 | + | 10.9898i | −0.340733 | + | 1.60302i | 0.390306 | + | 0.920685i | \(0.372369\pi\) |
−0.731039 | + | 0.682336i | \(0.760964\pi\) | |||||||
\(48\) | 1.70917 | − | 0.280589i | 0.246698 | − | 0.0404995i | ||||
\(49\) | −2.19907 | + | 6.64561i | −0.314153 | + | 0.949372i | ||||
\(50\) | −1.75109 | − | 1.27224i | −0.247642 | − | 0.179922i | ||||
\(51\) | 2.62009 | − | 6.94225i | 0.366886 | − | 0.972110i | ||||
\(52\) | −2.26034 | − | 2.03522i | −0.313453 | − | 0.282235i | ||||
\(53\) | −0.415379 | + | 0.932956i | −0.0570567 | + | 0.128151i | −0.939824 | − | 0.341659i | \(-0.889011\pi\) |
0.882767 | + | 0.469811i | \(0.155678\pi\) | |||||||
\(54\) | 3.20131 | − | 4.09287i | 0.435643 | − | 0.556969i | ||||
\(55\) | 0.719629 | − | 5.53832i | 0.0970347 | − | 0.746787i | ||||
\(56\) | −1.56091 | + | 2.13625i | −0.208586 | + | 0.285468i | ||||
\(57\) | −0.572929 | + | 1.14028i | −0.0758863 | + | 0.151033i | ||||
\(58\) | −8.74880 | − | 1.85961i | −1.14877 | − | 0.244179i | ||||
\(59\) | −1.40444 | − | 6.60737i | −0.182843 | − | 0.860207i | −0.969934 | − | 0.243370i | \(-0.921747\pi\) |
0.787091 | − | 0.616837i | \(-0.211586\pi\) | |||||||
\(60\) | 1.06055 | + | 2.71695i | 0.136916 | + | 0.350757i | ||||
\(61\) | −2.09528 | − | 4.70608i | −0.268273 | − | 0.602552i | 0.728301 | − | 0.685258i | \(-0.240310\pi\) |
−0.996574 | + | 0.0827059i | \(0.973644\pi\) | |||||||
\(62\) | −2.02702 | + | 6.23851i | −0.257431 | + | 0.792292i | ||||
\(63\) | 0.897271 | + | 7.88637i | 0.113046 | + | 0.993590i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 2.56087 | − | 4.43556i | 0.317637 | − | 0.550164i | ||||
\(66\) | 3.69871 | − | 4.39540i | 0.455280 | − | 0.541037i | ||||
\(67\) | −2.70908 | − | 4.69227i | −0.330967 | − | 0.573252i | 0.651735 | − | 0.758447i | \(-0.274042\pi\) |
−0.982702 | + | 0.185195i | \(0.940708\pi\) | |||||||
\(68\) | 0.447807 | + | 4.26060i | 0.0543046 | + | 0.516674i | ||||
\(69\) | −9.89906 | − | 9.78812i | −1.19171 | − | 1.17835i | ||||
\(70\) | −4.06511 | − | 1.82308i | −0.485873 | − | 0.217900i | ||||
\(71\) | −9.86752 | + | 13.5815i | −1.17106 | + | 1.61182i | −0.514721 | + | 0.857358i | \(0.672104\pi\) |
−0.656338 | + | 0.754467i | \(0.727896\pi\) | |||||||
\(72\) | −0.590623 | + | 2.94129i | −0.0696056 | + | 0.346634i | ||||
\(73\) | −3.10170 | − | 14.5924i | −0.363027 | − | 1.70791i | −0.658520 | − | 0.752563i | \(-0.728817\pi\) |
0.295493 | − | 0.955345i | \(-0.404516\pi\) | |||||||
\(74\) | 4.23672 | − | 4.70535i | 0.492509 | − | 0.546986i | ||||
\(75\) | 3.13259 | − | 2.05952i | 0.361721 | − | 0.237813i | ||||
\(76\) | − | 0.736768i | − | 0.0845131i | ||||||
\(77\) | 0.679594 | + | 8.74861i | 0.0774469 | + | 0.996996i | ||||
\(78\) | 4.68044 | − | 2.41812i | 0.529956 | − | 0.273798i | ||||
\(79\) | 1.58877 | − | 0.166986i | 0.178750 | − | 0.0187874i | −0.0147303 | − | 0.999892i | \(-0.504689\pi\) |
0.193481 | + | 0.981104i | \(0.438022\pi\) | |||||||
\(80\) | −1.25138 | − | 1.12675i | −0.139909 | − | 0.125975i | ||||
\(81\) | 4.67453 | + | 7.69082i | 0.519393 | + | 0.854536i | ||||
\(82\) | 2.68364 | − | 1.19484i | 0.296359 | − | 0.131947i | ||||
\(83\) | 0.791771 | + | 0.575255i | 0.0869081 | + | 0.0631424i | 0.630391 | − | 0.776278i | \(-0.282895\pi\) |
−0.543483 | + | 0.839420i | \(0.682895\pi\) | |||||||
\(84\) | −2.50711 | − | 3.83594i | −0.273548 | − | 0.418535i | ||||
\(85\) | −6.86088 | + | 2.22924i | −0.744167 | + | 0.241795i | ||||
\(86\) | 6.85811 | − | 0.720816i | 0.739529 | − | 0.0777276i | ||||
\(87\) | 8.36414 | − | 13.0399i | 0.896730 | − | 1.39803i | ||||
\(88\) | −0.768808 | + | 3.22629i | −0.0819552 | + | 0.343923i | ||||
\(89\) | 3.79817 | + | 2.19288i | 0.402605 | + | 0.232444i | 0.687608 | − | 0.726083i | \(-0.258661\pi\) |
−0.285002 | + | 0.958527i | \(0.591994\pi\) | |||||||
\(90\) | −5.05139 | + | 0.0569345i | −0.532463 | + | 0.00600142i | ||||
\(91\) | −2.50743 | + | 7.64668i | −0.262850 | + | 0.801590i | ||||
\(92\) | 7.64401 | + | 2.48369i | 0.796943 | + | 0.258942i | ||||
\(93\) | −8.86969 | − | 7.10015i | −0.919744 | − | 0.736251i | ||||
\(94\) | 11.1737 | + | 1.17441i | 1.15248 | + | 0.121131i | ||||
\(95\) | 1.21354 | − | 0.257945i | 0.124506 | − | 0.0264646i | ||||
\(96\) | −0.457709 | − | 1.67048i | −0.0467147 | − | 0.170493i | ||||
\(97\) | −11.6994 | + | 8.50013i | −1.18790 | + | 0.863058i | −0.993040 | − | 0.117774i | \(-0.962424\pi\) |
−0.194857 | + | 0.980832i | \(0.562424\pi\) | |||||||
\(98\) | 6.83907 | + | 1.49237i | 0.690850 | + | 0.150752i | ||||
\(99\) | 4.86057 | + | 8.68187i | 0.488506 | + | 0.872561i | ||||
\(100\) | −1.08223 | + | 1.87448i | −0.108223 | + | 0.187448i | ||||
\(101\) | −7.65077 | − | 3.40634i | −0.761280 | − | 0.338944i | −0.0108916 | − | 0.999941i | \(-0.503467\pi\) |
−0.750389 | + | 0.660997i | \(0.770134\pi\) | |||||||
\(102\) | −7.17810 | − | 1.88008i | −0.710737 | − | 0.186155i | ||||
\(103\) | −9.09285 | − | 10.0986i | −0.895945 | − | 0.995048i | −1.00000 | 0.000476377i | \(-0.999848\pi\) | |
0.104055 | − | 0.994572i | \(-0.466818\pi\) | |||||||
\(104\) | −1.78780 | + | 2.46070i | −0.175308 | + | 0.241291i | ||||
\(105\) | 5.44045 | − | 5.47245i | 0.530933 | − | 0.534057i | ||||
\(106\) | 0.971264 | + | 0.315583i | 0.0943375 | + | 0.0306521i | ||||
\(107\) | −6.92688 | − | 1.47235i | −0.669646 | − | 0.142338i | −0.139472 | − | 0.990226i | \(-0.544540\pi\) |
−0.530175 | + | 0.847888i | \(0.677874\pi\) | |||||||
\(108\) | −4.40508 | − | 2.75595i | −0.423879 | − | 0.265192i | ||||
\(109\) | 0.286004 | − | 0.165125i | 0.0273942 | − | 0.0158161i | −0.486240 | − | 0.873825i | \(-0.661632\pi\) |
0.513635 | + | 0.858009i | \(0.328299\pi\) | |||||||
\(110\) | −5.58320 | − | 0.136775i | −0.532337 | − | 0.0130409i | ||||
\(111\) | 5.03380 | + | 9.74327i | 0.477787 | + | 0.924790i | ||||
\(112\) | 2.28770 | + | 1.32906i | 0.216168 | + | 0.125585i | ||||
\(113\) | 1.12733 | − | 0.366290i | 0.106050 | − | 0.0344577i | −0.255511 | − | 0.966806i | \(-0.582244\pi\) |
0.361561 | + | 0.932348i | \(0.382244\pi\) | |||||||
\(114\) | 1.19392 | + | 0.450599i | 0.111821 | + | 0.0422025i | ||||
\(115\) | −1.41471 | + | 13.4600i | −0.131922 | + | 1.25516i | ||||
\(116\) | −0.934929 | + | 8.89526i | −0.0868060 | + | 0.825904i | ||||
\(117\) | 1.05601 | + | 9.06346i | 0.0976285 | + | 0.837917i | ||||
\(118\) | −6.42437 | + | 2.08740i | −0.591411 | + | 0.192161i | ||||
\(119\) | 9.83132 | − | 5.64074i | 0.901235 | − | 0.517086i | ||||
\(120\) | 2.59121 | − | 1.33874i | 0.236544 | − | 0.122209i | ||||
\(121\) | 5.02694 | + | 9.78416i | 0.456995 | + | 0.889469i | ||||
\(122\) | −4.46128 | + | 2.57572i | −0.403906 | + | 0.233195i | ||||
\(123\) | 0.294920 | + | 5.07954i | 0.0265920 | + | 0.458007i | ||||
\(124\) | 6.41622 | + | 1.36381i | 0.576193 | + | 0.122474i | ||||
\(125\) | −11.4738 | − | 3.72807i | −1.02625 | − | 0.333448i | ||||
\(126\) | 7.74938 | − | 1.71671i | 0.690370 | − | 0.152936i | ||||
\(127\) | 10.5488 | − | 14.5192i | 0.936053 | − | 1.28837i | −0.0213977 | − | 0.999771i | \(-0.506812\pi\) |
0.957451 | − | 0.288596i | \(-0.0931884\pi\) | |||||||
\(128\) | 0.669131 | + | 0.743145i | 0.0591433 | + | 0.0656853i | ||||
\(129\) | −3.02628 | + | 11.5543i | −0.266449 | + | 1.01730i | ||||
\(130\) | −4.67895 | − | 2.08320i | −0.410371 | − | 0.182709i | ||||
\(131\) | −2.84964 | + | 4.93573i | −0.248975 | + | 0.431237i | −0.963242 | − | 0.268637i | \(-0.913427\pi\) |
0.714267 | + | 0.699873i | \(0.246760\pi\) | |||||||
\(132\) | −4.75794 | − | 3.21900i | −0.414126 | − | 0.280178i | ||||
\(133\) | −1.78291 | + | 0.788038i | −0.154598 | + | 0.0683316i | ||||
\(134\) | −4.38339 | + | 3.18472i | −0.378667 | + | 0.275118i | ||||
\(135\) | 2.99712 | − | 8.22050i | 0.257951 | − | 0.707508i | ||||
\(136\) | 4.19045 | − | 0.890708i | 0.359328 | − | 0.0763776i | ||||
\(137\) | 4.28222 | + | 0.450080i | 0.365855 | + | 0.0384529i | 0.285673 | − | 0.958327i | \(-0.407783\pi\) |
0.0801825 | + | 0.996780i | \(0.474450\pi\) | |||||||
\(138\) | −8.69976 | + | 10.8680i | −0.740573 | + | 0.925143i | ||||
\(139\) | 0.651788 | + | 0.211779i | 0.0552839 | + | 0.0179628i | 0.336528 | − | 0.941673i | \(-0.390747\pi\) |
−0.281244 | + | 0.959636i | \(0.590747\pi\) | |||||||
\(140\) | −1.38818 | + | 4.23340i | −0.117322 | + | 0.357788i | ||||
\(141\) | −8.73683 | + | 17.3886i | −0.735774 | + | 1.46438i | ||||
\(142\) | 14.5385 | + | 8.39381i | 1.22004 | + | 0.704393i | ||||
\(143\) | 0.808449 | + | 10.0554i | 0.0676059 | + | 0.840872i | ||||
\(144\) | 2.98691 | + | 0.279940i | 0.248909 | + | 0.0233283i | ||||
\(145\) | −14.9788 | + | 1.57433i | −1.24392 | + | 0.130741i | ||||
\(146\) | −14.1882 | + | 4.61003i | −1.17422 | + | 0.381529i | ||||
\(147\) | −6.60106 | + | 10.1699i | −0.544446 | + | 0.838796i | ||||
\(148\) | −5.12244 | − | 3.72167i | −0.421062 | − | 0.305919i | ||||
\(149\) | 2.19393 | − | 0.976799i | 0.179733 | − | 0.0800225i | −0.314897 | − | 0.949126i | \(-0.601970\pi\) |
0.494631 | + | 0.869103i | \(0.335303\pi\) | |||||||
\(150\) | −2.37568 | − | 2.90015i | −0.193974 | − | 0.236797i | ||||
\(151\) | 11.5100 | + | 10.3637i | 0.936671 | + | 0.843383i | 0.987866 | − | 0.155306i | \(-0.0496364\pi\) |
−0.0511951 | + | 0.998689i | \(0.516303\pi\) | |||||||
\(152\) | −0.732732 | + | 0.0770132i | −0.0594324 | + | 0.00624660i | ||||
\(153\) | 7.43667 | − | 10.4821i | 0.601219 | − | 0.847430i | ||||
\(154\) | 8.62965 | − | 1.59035i | 0.695397 | − | 0.128154i | ||||
\(155\) | 11.0457i | 0.887210i | ||||||||
\(156\) | −2.89412 | − | 4.40204i | −0.231715 | − | 0.352445i | ||||
\(157\) | −8.81047 | + | 9.78501i | −0.703152 | + | 0.780929i | −0.983875 | − | 0.178860i | \(-0.942759\pi\) |
0.280723 | + | 0.959789i | \(0.409426\pi\) | |||||||
\(158\) | −0.332143 | − | 1.56261i | −0.0264239 | − | 0.124315i | ||||
\(159\) | −1.10541 | + | 1.38091i | −0.0876648 | + | 0.109513i | ||||
\(160\) | −0.989774 | + | 1.36231i | −0.0782485 | + | 0.107700i | ||||
\(161\) | −2.16563 | − | 21.1544i | −0.170675 | − | 1.66720i | ||||
\(162\) | 7.16007 | − | 5.45283i | 0.562548 | − | 0.428415i | ||||
\(163\) | −0.707047 | − | 6.72710i | −0.0553802 | − | 0.526907i | −0.986682 | − | 0.162659i | \(-0.947993\pi\) |
0.931302 | − | 0.364248i | \(-0.118674\pi\) | |||||||
\(164\) | −1.46881 | − | 2.54405i | −0.114695 | − | 0.198657i | ||||
\(165\) | 3.63627 | − | 8.96382i | 0.283083 | − | 0.697833i | ||||
\(166\) | 0.489341 | − | 0.847564i | 0.0379802 | − | 0.0657837i | ||||
\(167\) | 4.04114 | − | 2.93606i | 0.312713 | − | 0.227199i | −0.420347 | − | 0.907363i | \(-0.638092\pi\) |
0.733060 | + | 0.680164i | \(0.238092\pi\) | |||||||
\(168\) | −3.55286 | + | 2.89434i | −0.274109 | + | 0.223303i | ||||
\(169\) | 1.15842 | − | 3.56524i | 0.0891091 | − | 0.274249i | ||||
\(170\) | 2.93418 | + | 6.59028i | 0.225042 | + | 0.505452i | ||||
\(171\) | −1.46038 | + | 1.65914i | −0.111678 | + | 0.126878i | ||||
\(172\) | −1.43373 | − | 6.74519i | −0.109321 | − | 0.514316i | ||||
\(173\) | −8.96840 | − | 1.90629i | −0.681855 | − | 0.144933i | −0.146054 | − | 0.989277i | \(-0.546657\pi\) |
−0.535802 | + | 0.844344i | \(0.679991\pi\) | |||||||
\(174\) | −13.8428 | − | 6.95528i | −1.04942 | − | 0.527278i | ||||
\(175\) | 5.69363 | + | 0.613987i | 0.430398 | + | 0.0464130i | ||||
\(176\) | 3.28898 | + | 0.427357i | 0.247916 | + | 0.0322133i | ||||
\(177\) | 0.546478 | − | 11.6872i | 0.0410758 | − | 0.878464i | ||||
\(178\) | 1.78385 | − | 4.00658i | 0.133705 | − | 0.300306i | ||||
\(179\) | −2.77711 | − | 2.50052i | −0.207571 | − | 0.186898i | 0.558788 | − | 0.829311i | \(-0.311267\pi\) |
−0.766358 | + | 0.642413i | \(0.777933\pi\) | |||||||
\(180\) | 0.584637 | + | 5.01777i | 0.0435762 | + | 0.374002i | ||||
\(181\) | −15.4878 | − | 11.2525i | −1.15120 | − | 0.836393i | −0.162557 | − | 0.986699i | \(-0.551974\pi\) |
−0.988640 | + | 0.150306i | \(0.951974\pi\) | |||||||
\(182\) | 7.86689 | + | 1.69439i | 0.583133 | + | 0.125597i | ||||
\(183\) | −1.44544 | − | 8.80471i | −0.106850 | − | 0.650863i | ||||
\(184\) | 1.67107 | − | 7.86175i | 0.123193 | − | 0.579576i | ||||
\(185\) | 4.33660 | − | 9.74016i | 0.318833 | − | 0.716111i | ||||
\(186\) | −6.13412 | + | 9.56327i | −0.449775 | + | 0.701213i | ||||
\(187\) | 8.63065 | − | 11.2871i | 0.631135 | − | 0.825392i | ||||
\(188\) | − | 11.2353i | − | 0.819417i | ||||||
\(189\) | −1.95755 | + | 13.6076i | −0.142391 | + | 0.989811i | ||||
\(190\) | −0.383381 | − | 1.17992i | −0.0278134 | − | 0.0856007i | ||||
\(191\) | 0.211095 | − | 0.190071i | 0.0152743 | − | 0.0137531i | −0.661458 | − | 0.749982i | \(-0.730062\pi\) |
0.676732 | + | 0.736229i | \(0.263395\pi\) | |||||||
\(192\) | −1.61349 | + | 0.629814i | −0.116443 | + | 0.0454529i | ||||
\(193\) | 13.2398 | + | 1.39156i | 0.953023 | + | 0.100167i | 0.568260 | − | 0.822849i | \(-0.307617\pi\) |
0.384763 | + | 0.923016i | \(0.374283\pi\) | |||||||
\(194\) | 9.67649 | + | 10.7468i | 0.694732 | + | 0.771578i | ||||
\(195\) | 6.23739 | − | 6.30808i | 0.446669 | − | 0.451731i | ||||
\(196\) | 0.769317 | − | 6.95760i | 0.0549512 | − | 0.496971i | ||||
\(197\) | −6.13736 | −0.437269 | −0.218634 | − | 0.975807i | \(-0.570160\pi\) | ||||
−0.218634 | + | 0.975807i | \(0.570160\pi\) | |||||||
\(198\) | 8.12624 | − | 5.74145i | 0.577507 | − | 0.408027i | ||||
\(199\) | −1.40678 | − | 2.43661i | −0.0997238 | − | 0.172727i | 0.811847 | − | 0.583871i | \(-0.198463\pi\) |
−0.911570 | + | 0.411144i | \(0.865129\pi\) | |||||||
\(200\) | 1.97734 | + | 0.880368i | 0.139819 | + | 0.0622514i | ||||
\(201\) | −2.47994 | − | 9.05094i | −0.174922 | − | 0.638404i | ||||
\(202\) | −2.58796 | + | 7.96492i | −0.182088 | + | 0.560410i | ||||
\(203\) | 22.5257 | − | 7.25181i | 1.58100 | − | 0.508977i | ||||
\(204\) | −1.11946 | + | 7.33530i | −0.0783779 | + | 0.513573i | ||||
\(205\) | 3.67608 | − | 3.30996i | 0.256749 | − | 0.231178i | ||||
\(206\) | −9.09285 | + | 10.0986i | −0.633529 | + | 0.703605i | ||||
\(207\) | −12.2907 | − | 20.7445i | −0.854259 | − | 1.44184i | ||||
\(208\) | 2.63410 | + | 1.52080i | 0.182642 | + | 0.105448i | ||||
\(209\) | −1.67906 | + | 1.77535i | −0.116143 | + | 0.122803i | ||||
\(210\) | −6.01115 | − | 4.83862i | −0.414809 | − | 0.333896i | ||||
\(211\) | 9.39063 | + | 12.9251i | 0.646477 | + | 0.889800i | 0.998940 | − | 0.0460261i | \(-0.0146557\pi\) |
−0.352463 | + | 0.935826i | \(0.614656\pi\) | |||||||
\(212\) | 0.212329 | − | 0.998931i | 0.0145828 | − | 0.0686068i | ||||
\(213\) | −22.4936 | + | 18.4258i | −1.54124 | + | 1.26252i | ||||
\(214\) | −0.740231 | + | 7.04283i | −0.0506012 | + | 0.481438i | ||||
\(215\) | 10.6081 | − | 4.72303i | 0.723466 | − | 0.322108i | ||||
\(216\) | −2.28040 | + | 4.66902i | −0.155162 | + | 0.317687i | ||||
\(217\) | −3.56241 | − | 16.9854i | −0.241832 | − | 1.15304i | ||||
\(218\) | −0.194116 | − | 0.267177i | −0.0131472 | − | 0.0180955i | ||||
\(219\) | 1.20690 | − | 25.8112i | 0.0815544 | − | 1.74416i | ||||
\(220\) | 0.447578 | + | 5.56691i | 0.0301757 | + | 0.375321i | ||||
\(221\) | 11.2846 | − | 6.51520i | 0.759088 | − | 0.438259i | ||||
\(222\) | 9.16372 | − | 6.02468i | 0.615028 | − | 0.404350i | ||||
\(223\) | 5.91805 | + | 18.2139i | 0.396302 | + | 1.21969i | 0.927943 | + | 0.372722i | \(0.121576\pi\) |
−0.531641 | + | 0.846970i | \(0.678424\pi\) | |||||||
\(224\) | 1.08265 | − | 2.41410i | 0.0723377 | − | 0.161299i | ||||
\(225\) | 6.15259 | − | 2.07605i | 0.410172 | − | 0.138403i | ||||
\(226\) | −0.482121 | − | 1.08286i | −0.0320702 | − | 0.0720309i | ||||
\(227\) | 0.279265 | − | 0.0593597i | 0.0185355 | − | 0.00393984i | −0.198635 | − | 0.980074i | \(-0.563651\pi\) |
0.217170 | + | 0.976134i | \(0.430317\pi\) | |||||||
\(228\) | 0.323333 | − | 1.23448i | 0.0214132 | − | 0.0817553i | ||||
\(229\) | −2.39377 | − | 22.7752i | −0.158185 | − | 1.50503i | −0.729321 | − | 0.684172i | \(-0.760164\pi\) |
0.571136 | − | 0.820855i | \(-0.306503\pi\) | |||||||
\(230\) | 13.5342 | 0.892418 | ||||||||
\(231\) | −2.70067 | + | 14.9568i | −0.177691 | + | 0.984086i | ||||
\(232\) | 8.94425 | 0.587219 | ||||||||
\(233\) | −0.588320 | − | 5.59749i | −0.0385421 | − | 0.366704i | −0.996745 | − | 0.0806152i | \(-0.974312\pi\) |
0.958203 | − | 0.286089i | \(-0.0923552\pi\) | |||||||
\(234\) | 8.90343 | − | 1.99762i | 0.582035 | − | 0.130588i | ||||
\(235\) | 18.5057 | − | 3.93351i | 1.20718 | − | 0.256594i | ||||
\(236\) | 2.74750 | + | 6.17099i | 0.178847 | + | 0.401697i | ||||
\(237\) | 2.73532 | + | 0.417444i | 0.177678 | + | 0.0271159i | ||||
\(238\) | −6.63749 | − | 9.18784i | −0.430245 | − | 0.595559i | ||||
\(239\) | −5.44336 | − | 16.7529i | −0.352101 | − | 1.08366i | −0.957671 | − | 0.287865i | \(-0.907055\pi\) |
0.605570 | − | 0.795792i | \(-0.292945\pi\) | |||||||
\(240\) | −1.60226 | − | 2.43708i | −0.103425 | − | 0.157313i | ||||
\(241\) | 17.6831 | − | 10.2093i | 1.13907 | − | 0.657641i | 0.192868 | − | 0.981225i | \(-0.438221\pi\) |
0.946200 | + | 0.323584i | \(0.104888\pi\) | |||||||
\(242\) | 9.20511 | − | 6.02213i | 0.591727 | − | 0.387117i | ||||
\(243\) | 4.45719 | + | 14.9377i | 0.285929 | + | 0.958251i | ||||
\(244\) | 3.02794 | + | 4.16761i | 0.193844 | + | 0.266804i | ||||
\(245\) | 11.7292 | − | 1.16873i | 0.749354 | − | 0.0746674i | ||||
\(246\) | 5.02089 | − | 0.824261i | 0.320120 | − | 0.0525529i | ||||
\(247\) | −2.04721 | + | 0.911475i | −0.130261 | + | 0.0579958i | ||||
\(248\) | 0.685661 | − | 6.52363i | 0.0435395 | − | 0.414251i | ||||
\(249\) | 1.07419 | + | 1.31133i | 0.0680737 | + | 0.0831021i | ||||
\(250\) | −2.50830 | + | 11.8006i | −0.158639 | + | 0.746338i | ||||
\(251\) | −2.59894 | − | 3.57713i | −0.164043 | − | 0.225786i | 0.719080 | − | 0.694927i | \(-0.244564\pi\) |
−0.883123 | + | 0.469141i | \(0.844564\pi\) | |||||||
\(252\) | −2.51733 | − | 7.52749i | −0.158577 | − | 0.474187i | ||||
\(253\) | −12.7591 | − | 23.4051i | −0.802159 | − | 1.47147i | ||||
\(254\) | −15.5423 | − | 8.97333i | −0.975209 | − | 0.563037i | ||||
\(255\) | −12.4739 | + | 0.724240i | −0.781148 | + | 0.0453537i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | 4.34163 | − | 3.90922i | 0.270823 | − | 0.243850i | −0.522517 | − | 0.852629i | \(-0.675007\pi\) |
0.793340 | + | 0.608779i | \(0.208340\pi\) | |||||||
\(258\) | 11.8073 | + | 1.80195i | 0.735091 | + | 0.112184i | ||||
\(259\) | −3.52722 | + | 16.3765i | −0.219171 | + | 1.01759i | ||||
\(260\) | −1.58271 | + | 4.87107i | −0.0981553 | + | 0.302091i | ||||
\(261\) | 19.7370 | − | 18.1782i | 1.22169 | − | 1.12520i | ||||
\(262\) | 5.20656 | + | 2.31811i | 0.321662 | + | 0.143213i | ||||
\(263\) | 12.7571 | + | 22.0959i | 0.786634 | + | 1.36249i | 0.928018 | + | 0.372535i | \(0.121511\pi\) |
−0.141385 | + | 0.989955i | \(0.545155\pi\) | |||||||
\(264\) | −2.70403 | + | 5.06836i | −0.166421 | + | 0.311936i | ||||
\(265\) | 1.71968 | 0.105639 | ||||||||
\(266\) | 0.970086 | + | 1.69078i | 0.0594798 | + | 0.103668i | ||||
\(267\) | 5.40161 | + | 5.34107i | 0.330573 | + | 0.326868i | ||||
\(268\) | 3.62546 | + | 4.02648i | 0.221460 | + | 0.245957i | ||||
\(269\) | −27.1376 | − | 2.85228i | −1.65461 | − | 0.173907i | −0.769294 | − | 0.638895i | \(-0.779392\pi\) |
−0.885317 | + | 0.464989i | \(0.846058\pi\) | |||||||
\(270\) | −8.48875 | − | 2.12142i | −0.516609 | − | 0.129106i | ||||
\(271\) | −4.42176 | + | 3.98137i | −0.268603 | + | 0.241851i | −0.792414 | − | 0.609983i | \(-0.791176\pi\) |
0.523812 | + | 0.851834i | \(0.324510\pi\) | |||||||
\(272\) | −1.32385 | − | 4.07439i | −0.0802702 | − | 0.247046i | ||||
\(273\) | −7.55704 | + | 11.7119i | −0.457373 | + | 0.708835i | ||||
\(274\) | − | 4.30581i | − | 0.260124i | ||||||
\(275\) | 6.87965 | − | 2.05048i | 0.414859 | − | 0.123649i | ||||
\(276\) | 11.7178 | + | 7.51609i | 0.705329 | + | 0.452416i | ||||
\(277\) | −5.47769 | + | 12.3031i | −0.329122 | + | 0.739221i | −0.999997 | − | 0.00234982i | \(-0.999252\pi\) |
0.670875 | + | 0.741570i | \(0.265919\pi\) | |||||||
\(278\) | 0.142488 | − | 0.670354i | 0.00854587 | − | 0.0402052i | ||||
\(279\) | −11.7455 | − | 15.7890i | −0.703187 | − | 0.945264i | ||||
\(280\) | 4.35532 | + | 0.938060i | 0.260280 | + | 0.0560598i | ||||
\(281\) | −3.34114 | − | 2.42748i | −0.199316 | − | 0.144811i | 0.483651 | − | 0.875261i | \(-0.339310\pi\) |
−0.682966 | + | 0.730450i | \(0.739310\pi\) | |||||||
\(282\) | 18.2065 | + | 6.87137i | 1.08418 | + | 0.409184i | ||||
\(283\) | 15.5805 | + | 14.0287i | 0.926162 | + | 0.833920i | 0.986417 | − | 0.164263i | \(-0.0525245\pi\) |
−0.0602544 | + | 0.998183i | \(0.519191\pi\) | |||||||
\(284\) | 6.82814 | − | 15.3363i | 0.405176 | − | 0.910040i | ||||
\(285\) | 2.14652 | + | 0.100368i | 0.127149 | + | 0.00594530i | ||||
\(286\) | 9.91578 | − | 1.85509i | 0.586332 | − | 0.109694i | ||||
\(287\) | −4.58536 | + | 6.27547i | −0.270665 | + | 0.370429i | ||||
\(288\) | −0.0338110 | − | 2.99981i | −0.00199233 | − | 0.176765i | ||||
\(289\) | −1.32368 | − | 0.281357i | −0.0778634 | − | 0.0165504i | ||||
\(290\) | 3.13141 | + | 14.7321i | 0.183883 | + | 0.865101i | ||||
\(291\) | −23.3331 | + | 9.10792i | −1.36781 | + | 0.533916i | ||||
\(292\) | 6.06785 | + | 13.6286i | 0.355094 | + | 0.797554i | ||||
\(293\) | −0.343411 | + | 1.05691i | −0.0200623 | + | 0.0617453i | −0.960586 | − | 0.277981i | \(-0.910335\pi\) |
0.940524 | + | 0.339727i | \(0.110335\pi\) | |||||||
\(294\) | 10.8041 | + | 5.50186i | 0.630111 | + | 0.320875i | ||||
\(295\) | −9.20236 | + | 6.68591i | −0.535782 | + | 0.389269i | ||||
\(296\) | −3.16584 | + | 5.48339i | −0.184011 | + | 0.318716i | ||||
\(297\) | 4.33399 | + | 16.6798i | 0.251483 | + | 0.967862i | ||||
\(298\) | −1.20078 | − | 2.07980i | −0.0695591 | − | 0.120480i | ||||
\(299\) | −2.55535 | − | 24.3125i | −0.147780 | − | 1.40603i | ||||
\(300\) | −2.63594 | + | 2.66582i | −0.152186 | + | 0.153911i | ||||
\(301\) | −14.7893 | + | 10.6841i | −0.852440 | + | 0.615821i | ||||
\(302\) | 9.10376 | − | 12.5303i | 0.523863 | − | 0.721035i | ||||
\(303\) | −11.3242 | − | 9.06500i | −0.650560 | − | 0.520771i | ||||
\(304\) | 0.153183 | + | 0.720668i | 0.00878563 | + | 0.0413331i | ||||
\(305\) | −5.80440 | + | 6.44644i | −0.332359 | + | 0.369122i | ||||
\(306\) | −11.2021 | − | 6.30025i | −0.640379 | − | 0.360162i | ||||
\(307\) | − | 10.4908i | − | 0.598744i | −0.954136 | − | 0.299372i | \(-0.903223\pi\) | ||
0.954136 | − | 0.299372i | \(-0.0967772\pi\) | |||||||
\(308\) | −2.48368 | − | 8.41613i | −0.141521 | − | 0.479554i | ||||
\(309\) | −10.8036 | − | 20.9110i | −0.614593 | − | 1.18959i | ||||
\(310\) | 10.9852 | − | 1.15459i | 0.623915 | − | 0.0655761i | ||||
\(311\) | −0.329054 | − | 0.296281i | −0.0186589 | − | 0.0168006i | 0.659748 | − | 0.751487i | \(-0.270663\pi\) |
−0.678407 | + | 0.734686i | \(0.737330\pi\) | |||||||
\(312\) | −4.07541 | + | 3.33840i | −0.230724 | + | 0.189000i | ||||
\(313\) | −1.88878 | + | 0.840939i | −0.106760 | + | 0.0475327i | −0.459422 | − | 0.888218i | \(-0.651943\pi\) |
0.352662 | + | 0.935751i | \(0.385277\pi\) | |||||||
\(314\) | 10.6524 | + | 7.73939i | 0.601147 | + | 0.436759i | ||||
\(315\) | 11.5172 | − | 6.78171i | 0.648923 | − | 0.382106i | ||||
\(316\) | −1.51933 | + | 0.493661i | −0.0854691 | + | 0.0277706i | ||||
\(317\) | 7.32802 | − | 0.770206i | 0.411583 | − | 0.0432591i | 0.103525 | − | 0.994627i | \(-0.466988\pi\) |
0.308058 | + | 0.951368i | \(0.400321\pi\) | |||||||
\(318\) | 1.48889 | + | 0.955011i | 0.0834928 | + | 0.0535543i | ||||
\(319\) | 22.5247 | − | 19.3037i | 1.26114 | − | 1.08080i | ||||
\(320\) | 1.45830 | + | 0.841952i | 0.0815216 | + | 0.0470665i | ||||
\(321\) | −10.9601 | − | 5.50685i | −0.611731 | − | 0.307363i | ||||
\(322\) | −20.8121 | + | 4.36499i | −1.15981 | + | 0.243252i | ||||
\(323\) | 3.00188 | + | 0.975370i | 0.167029 | + | 0.0542711i | ||||
\(324\) | −6.17139 | − | 6.55087i | −0.342855 | − | 0.363937i | ||||
\(325\) | 6.54736 | + | 0.688156i | 0.363182 | + | 0.0381720i | ||||
\(326\) | −6.61634 | + | 1.40635i | −0.366445 | + | 0.0778904i | ||||
\(327\) | 0.551675 | − | 0.151158i | 0.0305077 | − | 0.00835905i | ||||
\(328\) | −2.37658 | + | 1.72669i | −0.131225 | + | 0.0953403i | ||||
\(329\) | −27.1884 | + | 12.0171i | −1.49894 | + | 0.662525i | ||||
\(330\) | −9.29481 | − | 2.67937i | −0.511663 | − | 0.147495i | ||||
\(331\) | 1.40308 | − | 2.43021i | 0.0771204 | − | 0.133576i | −0.824886 | − | 0.565299i | \(-0.808761\pi\) |
0.902006 | + | 0.431723i | \(0.142094\pi\) | |||||||
\(332\) | −0.894071 | − | 0.398066i | −0.0490685 | − | 0.0218467i | ||||
\(333\) | 4.15844 | + | 18.5343i | 0.227881 | + | 1.01567i | ||||
\(334\) | −3.34239 | − | 3.71210i | −0.182887 | − | 0.203117i | ||||
\(335\) | −5.36276 | + | 7.38120i | −0.292999 | + | 0.403278i | ||||
\(336\) | 3.24986 | + | 3.23085i | 0.177294 | + | 0.176258i | ||||
\(337\) | 6.85817 | + | 2.22835i | 0.373588 | + | 0.121386i | 0.489792 | − | 0.871839i | \(-0.337073\pi\) |
−0.116204 | + | 0.993225i | \(0.537073\pi\) | |||||||
\(338\) | −3.66680 | − | 0.779402i | −0.199448 | − | 0.0423939i | ||||
\(339\) | 2.04962 | − | 0.119001i | 0.111320 | − | 0.00646327i | ||||
\(340\) | 6.24747 | − | 3.60698i | 0.338817 | − | 0.195616i | ||||
\(341\) | −12.3527 | − | 17.9085i | −0.668939 | − | 0.969802i | ||||
\(342\) | 1.80270 | + | 1.27895i | 0.0974789 | + | 0.0691576i | ||||
\(343\) | −17.6596 | + | 5.58008i | −0.953531 | + | 0.301296i | ||||
\(344\) | −6.55838 | + | 2.13095i | −0.353604 | + | 0.114893i | ||||
\(345\) | −8.27736 | + | 21.9319i | −0.445638 | + | 1.18077i | ||||
\(346\) | −0.958397 | + | 9.11854i | −0.0515237 | + | 0.490216i | ||||
\(347\) | −3.17224 | + | 30.1819i | −0.170295 | + | 1.62025i | 0.491718 | + | 0.870754i | \(0.336369\pi\) |
−0.662013 | + | 0.749492i | \(0.730298\pi\) | |||||||
\(348\) | −5.47021 | + | 14.4940i | −0.293234 | + | 0.776960i | ||||
\(349\) | 8.05541 | − | 2.61736i | 0.431196 | − | 0.140104i | −0.0853739 | − | 0.996349i | \(-0.527208\pi\) |
0.516570 | + | 0.856245i | \(0.327208\pi\) | |||||||
\(350\) | 0.0154767 | − | 5.72662i | 0.000827262 | − | 0.306101i | ||||
\(351\) | −2.20814 | + | 15.6496i | −0.117862 | + | 0.835312i | ||||
\(352\) | 0.0812247 | − | 3.31563i | 0.00432929 | − | 0.176724i | ||||
\(353\) | 2.65929 | − | 1.53534i | 0.141539 | − | 0.0817179i | −0.427558 | − | 0.903988i | \(-0.640626\pi\) |
0.569097 | + | 0.822270i | \(0.307293\pi\) | |||||||
\(354\) | −11.6803 | + | 0.678162i | −0.620801 | + | 0.0360439i | ||||
\(355\) | 27.6510 | + | 5.87740i | 1.46756 | + | 0.311940i | ||||
\(356\) | −4.17110 | − | 1.35527i | −0.221068 | − | 0.0718292i | ||||
\(357\) | 18.9481 | − | 5.13675i | 1.00284 | − | 0.271865i | ||||
\(358\) | −2.19653 | + | 3.02327i | −0.116090 | + | 0.159785i | ||||
\(359\) | 3.12050 | + | 3.46567i | 0.164694 | + | 0.182911i | 0.819843 | − | 0.572589i | \(-0.194061\pi\) |
−0.655149 | + | 0.755500i | \(0.727394\pi\) | |||||||
\(360\) | 4.92917 | − | 1.10593i | 0.259790 | − | 0.0582878i | ||||
\(361\) | 16.8615 | + | 7.50721i | 0.887446 | + | 0.395116i | ||||
\(362\) | −9.57196 | + | 16.5791i | −0.503091 | + | 0.871380i | ||||
\(363\) | 4.12900 | + | 18.5998i | 0.216716 | + | 0.976235i | ||||
\(364\) | 0.862798 | − | 8.00091i | 0.0452229 | − | 0.419362i | ||||
\(365\) | −20.3234 | + | 14.7658i | −1.06378 | + | 0.772878i | ||||
\(366\) | −8.60539 | + | 2.35786i | −0.449811 | + | 0.123247i | ||||
\(367\) | 15.8256 | − | 3.36383i | 0.826089 | − | 0.175591i | 0.224579 | − | 0.974456i | \(-0.427899\pi\) |
0.601510 | + | 0.798865i | \(0.294566\pi\) | |||||||
\(368\) | −7.99335 | − | 0.840135i | −0.416682 | − | 0.0437951i | ||||
\(369\) | −1.73502 | + | 8.64036i | −0.0903217 | + | 0.449799i | ||||
\(370\) | −10.1401 | − | 3.29472i | −0.527159 | − | 0.171284i | ||||
\(371\) | −2.64443 | + | 0.554626i | −0.137292 | + | 0.0287947i | ||||
\(372\) | 10.1521 | + | 5.10088i | 0.526360 | + | 0.264468i | ||||
\(373\) | 6.68078 | + | 3.85715i | 0.345918 | + | 0.199716i | 0.662886 | − | 0.748721i | \(-0.269332\pi\) |
−0.316968 | + | 0.948436i | \(0.602665\pi\) | |||||||
\(374\) | −12.1274 | − | 7.40355i | −0.627092 | − | 0.382828i | ||||
\(375\) | −17.5887 | − | 11.2818i | −0.908275 | − | 0.582590i | ||||
\(376\) | −11.1737 | + | 1.17441i | −0.576241 | + | 0.0605654i | ||||
\(377\) | 25.8733 | − | 8.40674i | 1.33254 | − | 0.432969i | ||||
\(378\) | 13.7377 | + | 0.524439i | 0.706592 | + | 0.0269742i | ||||
\(379\) | −20.1495 | − | 14.6394i | −1.03501 | − | 0.751978i | −0.0657038 | − | 0.997839i | \(-0.520929\pi\) |
−0.969305 | + | 0.245861i | \(0.920929\pi\) | |||||||
\(380\) | −1.13339 | + | 0.504616i | −0.0581415 | + | 0.0258863i | ||||
\(381\) | 24.0466 | − | 19.6980i | 1.23194 | − | 1.00916i | ||||
\(382\) | −0.211095 | − | 0.190071i | −0.0108006 | − | 0.00972489i | ||||
\(383\) | −4.63384 | + | 0.487037i | −0.236778 | + | 0.0248864i | −0.222174 | − | 0.975007i | \(-0.571315\pi\) |
−0.0146040 | + | 0.999893i | \(0.504649\pi\) | |||||||
\(384\) | 0.795019 | + | 1.53881i | 0.0405706 | + | 0.0785272i | ||||
\(385\) | 12.9927 | − | 7.03740i | 0.662171 | − | 0.358659i | ||||
\(386\) | − | 13.3127i | − | 0.677601i | ||||||
\(387\) | −10.1412 | + | 18.0315i | −0.515509 | + | 0.916591i | ||||
\(388\) | 9.67649 | − | 10.7468i | 0.491249 | − | 0.545588i | ||||
\(389\) | −6.97493 | − | 32.8144i | −0.353643 | − | 1.66376i | −0.691360 | − | 0.722511i | \(-0.742988\pi\) |
0.337717 | − | 0.941248i | \(-0.390345\pi\) | |||||||
\(390\) | −6.92551 | − | 5.54384i | −0.350687 | − | 0.280723i | ||||
\(391\) | −20.2390 | + | 27.8566i | −1.02353 | + | 1.40877i | ||||
\(392\) | −6.99990 | − | 0.0378358i | −0.353548 | − | 0.00191100i | ||||
\(393\) | −6.94073 | + | 7.01940i | −0.350114 | + | 0.354082i | ||||
\(394\) | 0.641528 | + | 6.10374i | 0.0323197 | + | 0.307502i | ||||
\(395\) | −1.34504 | − | 2.32967i | −0.0676761 | − | 0.117218i | ||||
\(396\) | −6.55942 | − | 7.48158i | −0.329623 | − | 0.375963i | ||||
\(397\) | −11.1549 | + | 19.3208i | −0.559848 | + | 0.969685i | 0.437661 | + | 0.899140i | \(0.355807\pi\) |
−0.997509 | + | 0.0705449i | \(0.977526\pi\) | |||||||
\(398\) | −2.27621 | + | 1.65377i | −0.114096 | + | 0.0828958i | ||||
\(399\) | −3.33316 | + | 0.537946i | −0.166867 | + | 0.0269310i | ||||
\(400\) | 0.668857 | − | 2.05853i | 0.0334429 | − | 0.102927i | ||||
\(401\) | 12.8841 | + | 28.9381i | 0.643401 | + | 1.44510i | 0.880704 | + | 0.473666i | \(0.157070\pi\) |
−0.237304 | + | 0.971436i | \(0.576264\pi\) | |||||||
\(402\) | −8.74213 | + | 3.41244i | −0.436018 | + | 0.170197i | ||||
\(403\) | −4.14815 | − | 19.5155i | −0.206634 | − | 0.972137i | ||||
\(404\) | 8.19180 | + | 1.74122i | 0.407557 | + | 0.0866290i | ||||
\(405\) | 8.62935 | − | 12.4584i | 0.428796 | − | 0.619064i | ||||
\(406\) | −9.56667 | − | 21.6443i | −0.474786 | − | 1.07419i | ||||
\(407\) | 3.86174 | + | 20.6417i | 0.191420 | + | 1.02317i | ||||
\(408\) | 7.41213 | + | 0.346581i | 0.366955 | + | 0.0171583i | ||||
\(409\) | 3.68655 | − | 8.28012i | 0.182288 | − | 0.409426i | −0.799169 | − | 0.601106i | \(-0.794727\pi\) |
0.981457 | + | 0.191680i | \(0.0613936\pi\) | |||||||
\(410\) | −3.67608 | − | 3.30996i | −0.181549 | − | 0.163467i | ||||
\(411\) | 6.97749 | + | 2.63339i | 0.344174 | + | 0.129896i | ||||
\(412\) | 10.9938 | + | 7.98744i | 0.541624 | + | 0.393513i | ||||
\(413\) | 11.9946 | − | 13.2491i | 0.590214 | − | 0.651947i | ||||
\(414\) | −19.3462 | + | 14.3917i | −0.950812 | + | 0.707314i | ||||
\(415\) | 0.342640 | − | 1.61199i | 0.0168195 | − | 0.0791297i | ||||
\(416\) | 1.23713 | − | 2.77863i | 0.0606551 | − | 0.136234i | ||||
\(417\) | 0.999152 | + | 0.640881i | 0.0489287 | + | 0.0313841i | ||||
\(418\) | 1.94113 | + | 1.48429i | 0.0949438 | + | 0.0725988i | ||||
\(419\) | 22.9780i | 1.12255i | 0.827630 | + | 0.561274i | \(0.189688\pi\) | ||||
−0.827630 | + | 0.561274i | \(0.810312\pi\) | |||||||
\(420\) | −4.18377 | + | 6.48400i | −0.204147 | + | 0.316387i | ||||
\(421\) | 6.48091 | + | 19.9462i | 0.315860 | + | 0.972118i | 0.975399 | + | 0.220447i | \(0.0707516\pi\) |
−0.659539 | + | 0.751671i | \(0.729248\pi\) | |||||||
\(422\) | 11.8727 | − | 10.6902i | 0.577954 | − | 0.520392i | ||||
\(423\) | −22.2699 | + | 25.3009i | −1.08280 | + | 1.23017i | ||||
\(424\) | −1.01565 | − | 0.106749i | −0.0493245 | − | 0.00518421i | ||||
\(425\) | −6.20467 | − | 6.89098i | −0.300971 | − | 0.334262i | ||||
\(426\) | 20.6761 | + | 20.4444i | 1.00176 | + | 0.990533i | ||||
\(427\) | 6.84660 | − | 11.7850i | 0.331330 | − | 0.570315i | ||||
\(428\) | 7.08163 | 0.342303 | ||||||||
\(429\) | −3.05824 | + | 17.2029i | −0.147653 | + | 0.830563i | ||||
\(430\) | −5.80600 | − | 10.0563i | −0.279990 | − | 0.484957i | ||||
\(431\) | 16.8453 | + | 7.50001i | 0.811409 | + | 0.361263i | 0.770132 | − | 0.637885i | \(-0.220191\pi\) |
0.0412777 | + | 0.999148i | \(0.486857\pi\) | |||||||
\(432\) | 4.88181 | + | 1.77986i | 0.234876 | + | 0.0856336i | ||||
\(433\) | 7.67426 | − | 23.6190i | 0.368802 | − | 1.13505i | −0.578765 | − | 0.815495i | \(-0.696465\pi\) |
0.947566 | − | 0.319560i | \(-0.103535\pi\) | |||||||
\(434\) | −16.5200 | + | 5.31835i | −0.792985 | + | 0.255289i | ||||
\(435\) | −25.7883 | − | 3.93563i | −1.23645 | − | 0.188699i | ||||
\(436\) | −0.245423 | + | 0.220980i | −0.0117536 | + | 0.0105830i | ||||
\(437\) | 3.96238 | − | 4.40067i | 0.189546 | − | 0.210513i | ||||
\(438\) | −25.7959 | + | 1.49772i | −1.23258 | + | 0.0715638i | ||||
\(439\) | −29.7576 | − | 17.1806i | −1.42025 | − | 0.819984i | −0.423934 | − | 0.905693i | \(-0.639351\pi\) |
−0.996320 | + | 0.0857092i | \(0.972684\pi\) | |||||||
\(440\) | 5.48963 | − | 1.02703i | 0.261708 | − | 0.0489616i | ||||
\(441\) | −15.5234 | + | 14.1430i | −0.739207 | + | 0.673478i | ||||
\(442\) | −7.65907 | − | 10.5418i | −0.364305 | − | 0.501423i | ||||
\(443\) | 3.66851 | − | 17.2590i | 0.174296 | − | 0.819999i | −0.800925 | − | 0.598765i | \(-0.795658\pi\) |
0.975221 | − | 0.221234i | \(-0.0710084\pi\) | |||||||
\(444\) | −6.94954 | − | 8.48377i | −0.329811 | − | 0.402622i | ||||
\(445\) | 0.771962 | − | 7.34473i | 0.0365945 | − | 0.348173i | ||||
\(446\) | 17.4955 | − | 7.78950i | 0.828436 | − | 0.368843i | ||||
\(447\) | 4.10467 | − | 0.673848i | 0.194144 | − | 0.0318719i | ||||
\(448\) | −2.51404 | − | 0.824379i | −0.118777 | − | 0.0389483i | ||||
\(449\) | 8.09545 | + | 11.1424i | 0.382048 | + | 0.525844i | 0.956126 | − | 0.292957i | \(-0.0946393\pi\) |
−0.574078 | + | 0.818801i | \(0.694639\pi\) | |||||||
\(450\) | −2.70779 | − | 5.90188i | −0.127647 | − | 0.278217i | ||||
\(451\) | −2.25846 | + | 9.47759i | −0.106347 | + | 0.446282i | ||||
\(452\) | −1.02653 | + | 0.592670i | −0.0482841 | + | 0.0278769i | ||||
\(453\) | 14.7373 | + | 22.4158i | 0.692418 | + | 1.05319i | ||||
\(454\) | −0.0882257 | − | 0.271531i | −0.00414064 | − | 0.0127436i | ||||
\(455\) | 13.4804 | − | 1.38003i | 0.631972 | − | 0.0646966i | ||||
\(456\) | −1.26151 | − | 0.192523i | −0.0590758 | − | 0.00901572i | ||||
\(457\) | 2.68689 | + | 6.03485i | 0.125687 | + | 0.282298i | 0.965419 | − | 0.260703i | \(-0.0839544\pi\) |
−0.839732 | + | 0.543002i | \(0.817288\pi\) | |||||||
\(458\) | −22.4002 | + | 4.76131i | −1.04669 | + | 0.222481i | ||||
\(459\) | 17.0605 | − | 14.2996i | 0.796316 | − | 0.667446i | ||||
\(460\) | −1.41471 | − | 13.4600i | −0.0659611 | − | 0.627578i | ||||
\(461\) | −5.54733 | −0.258365 | −0.129182 | − | 0.991621i | \(-0.541235\pi\) | ||||
−0.129182 | + | 0.991621i | \(0.541235\pi\) | |||||||
\(462\) | 15.1572 | + | 1.12246i | 0.705176 | + | 0.0522216i | ||||
\(463\) | 35.3665 | 1.64362 | 0.821811 | − | 0.569760i | \(-0.192964\pi\) | ||||
0.821811 | + | 0.569760i | \(0.192964\pi\) | |||||||
\(464\) | −0.934929 | − | 8.89526i | −0.0434030 | − | 0.412952i | ||||
\(465\) | −4.84742 | + | 18.5074i | −0.224794 | + | 0.858259i | ||||
\(466\) | −5.50533 | + | 1.17019i | −0.255030 | + | 0.0542082i | ||||
\(467\) | 10.7784 | + | 24.2086i | 0.498764 | + | 1.12024i | 0.971067 | + | 0.238806i | \(0.0767559\pi\) |
−0.472304 | + | 0.881436i | \(0.656577\pi\) | |||||||
\(468\) | −2.91734 | − | 8.64585i | −0.134854 | − | 0.399654i | ||||
\(469\) | 5.86599 | − | 13.0800i | 0.270866 | − | 0.603977i | ||||
\(470\) | −5.84633 | − | 17.9932i | −0.269671 | − | 0.829962i | ||||
\(471\) | −19.0564 | + | 12.5286i | −0.878073 | + | 0.577288i | ||||
\(472\) | 5.84999 | − | 3.37749i | 0.269268 | − | 0.155462i | ||||
\(473\) | −11.9172 | + | 19.5209i | −0.547952 | + | 0.897573i | ||||
\(474\) | 0.129239 | − | 2.76397i | 0.00593616 | − | 0.126953i | ||||
\(475\) | 0.937347 | + | 1.29015i | 0.0430084 | + | 0.0591960i | ||||
\(476\) | −8.44370 | + | 7.56152i | −0.387016 | + | 0.346582i | ||||
\(477\) | −2.45817 | + | 1.82864i | −0.112552 | + | 0.0837278i | ||||
\(478\) | −16.0922 | + | 7.16469i | −0.736039 | + | 0.327706i | ||||
\(479\) | 1.94812 | − | 18.5351i | 0.0890118 | − | 0.846891i | −0.855365 | − | 0.518026i | \(-0.826667\pi\) |
0.944377 | − | 0.328865i | \(-0.106666\pi\) | |||||||
\(480\) | −2.25625 | + | 1.84822i | −0.102983 | + | 0.0843595i | ||||
\(481\) | −4.00404 | + | 18.8375i | −0.182569 | + | 0.858918i | ||||
\(482\) | −12.0018 | − | 16.5191i | −0.546667 | − | 0.752422i | ||||
\(483\) | 5.65507 | − | 36.3952i | 0.257315 | − | 1.65604i | ||||
\(484\) | −6.95133 | − | 8.52520i | −0.315970 | − | 0.387509i | ||||
\(485\) | 21.0890 | + | 12.1757i | 0.957600 | + | 0.552871i | ||||
\(486\) | 14.3899 | − | 5.99419i | 0.652740 | − | 0.271902i | ||||
\(487\) | 8.87444 | − | 9.85606i | 0.402139 | − | 0.446621i | −0.507730 | − | 0.861516i | \(-0.669515\pi\) |
0.909869 | + | 0.414896i | \(0.136182\pi\) | |||||||
\(488\) | 3.82827 | − | 3.44699i | 0.173298 | − | 0.156038i | ||||
\(489\) | 1.76753 | − | 11.5818i | 0.0799303 | − | 0.523746i | ||||
\(490\) | −2.38837 | − | 11.5428i | −0.107895 | − | 0.521452i | ||||
\(491\) | 12.1208 | − | 37.3040i | 0.547004 | − | 1.68351i | −0.169172 | − | 0.985587i | \(-0.554109\pi\) |
0.716176 | − | 0.697920i | \(-0.245891\pi\) | |||||||
\(492\) | −1.34457 | − | 4.90722i | −0.0606179 | − | 0.221235i | ||||
\(493\) | −35.0051 | − | 15.5853i | −1.57655 | − | 0.701925i | ||||
\(494\) | 1.12047 | + | 1.94072i | 0.0504125 | + | 0.0873170i | ||||
\(495\) | 10.0265 | − | 13.4234i | 0.450657 | − | 0.603336i | ||||
\(496\) | −6.55956 | −0.294533 | ||||||||
\(497\) | −44.4157 | − | 0.120037i | −1.99232 | − | 0.00538440i | ||||
\(498\) | 1.19186 | − | 1.20537i | 0.0534086 | − | 0.0540140i | ||||
\(499\) | −1.48350 | − | 1.64759i | −0.0664105 | − | 0.0737563i | 0.709024 | − | 0.705184i | \(-0.249136\pi\) |
−0.775434 | + | 0.631428i | \(0.782469\pi\) | |||||||
\(500\) | 11.9982 | + | 1.26106i | 0.536575 | + | 0.0563963i | ||||
\(501\) | 8.05955 | − | 3.14600i | 0.360074 | − | 0.140553i | ||||
\(502\) | −3.28587 | + | 2.95861i | −0.146656 | + | 0.132049i | ||||
\(503\) | 2.73992 | + | 8.43261i | 0.122167 | + | 0.375991i | 0.993374 | − | 0.114924i | \(-0.0366624\pi\) |
−0.871207 | + | 0.490915i | \(0.836662\pi\) | |||||||
\(504\) | −7.22312 | + | 3.29038i | −0.321743 | + | 0.146565i | ||||
\(505\) | 14.1024i | 0.627548i | ||||||||
\(506\) | −21.9432 | + | 15.1357i | −0.975495 | + | 0.672865i | ||||
\(507\) | 3.50558 | − | 5.46531i | 0.155688 | − | 0.242723i | ||||
\(508\) | −7.29957 | + | 16.3951i | −0.323866 | + | 0.727415i | ||||
\(509\) | 4.97012 | − | 23.3826i | 0.220297 | − | 1.03642i | −0.719450 | − | 0.694544i | \(-0.755606\pi\) |
0.939747 | − | 0.341871i | \(-0.111061\pi\) | |||||||
\(510\) | 2.02415 | + | 12.3299i | 0.0896311 | + | 0.545977i | ||||
\(511\) | 26.4900 | − | 29.2607i | 1.17185 | − | 1.29442i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −3.17502 | + | 2.13905i | −0.140181 | + | 0.0944415i | ||||
\(514\) | −4.34163 | − | 3.90922i | −0.191501 | − | 0.172428i | ||||
\(515\) | −9.30722 | + | 20.9043i | −0.410125 | + | 0.921156i | ||||
\(516\) | 0.557876 | − | 11.9310i | 0.0245591 | − | 0.525232i | ||||
\(517\) | −25.6046 | + | 27.0730i | −1.12609 | + | 1.19067i | ||||
\(518\) | 16.6555 | + | 1.79608i | 0.731800 | + | 0.0789154i | ||||
\(519\) | −14.1903 | − | 7.12986i | −0.622884 | − | 0.312966i | ||||
\(520\) | 5.00983 | + | 1.06487i | 0.219695 | + | 0.0466977i | ||||
\(521\) | 2.00086 | + | 9.41331i | 0.0876593 | + | 0.412405i | 0.999996 | + | 0.00296298i | \(0.000943146\pi\) |
−0.912336 | + | 0.409442i | \(0.865724\pi\) | |||||||
\(522\) | −20.1417 | − | 17.7287i | −0.881579 | − | 0.775966i | ||||
\(523\) | −11.9719 | − | 26.8894i | −0.523496 | − | 1.17579i | −0.960993 | − | 0.276572i | \(-0.910802\pi\) |
0.437497 | − | 0.899220i | \(-0.355865\pi\) | |||||||
\(524\) | 1.76118 | − | 5.42035i | 0.0769374 | − | 0.236789i | ||||
\(525\) | 9.27042 | + | 3.52742i | 0.404594 | + | 0.153949i | ||||
\(526\) | 20.6413 | − | 14.9968i | 0.900005 | − | 0.653892i | ||||
\(527\) | −14.0508 | + | 24.3367i | −0.612063 | + | 1.06012i | ||||
\(528\) | 5.32324 | + | 2.15943i | 0.231664 | + | 0.0939770i | ||||
\(529\) | 20.7998 | + | 36.0263i | 0.904338 | + | 1.56636i | ||||
\(530\) | −0.179756 | − | 1.71026i | −0.00780809 | − | 0.0742890i | ||||
\(531\) | 6.04460 | − | 19.3425i | 0.262313 | − | 0.839392i | ||||
\(532\) | 1.58011 | − | 1.14151i | 0.0685065 | − | 0.0494906i | ||||
\(533\) | −5.25187 | + | 7.22858i | −0.227484 | + | 0.313105i | ||||
\(534\) | 4.74719 | − | 5.93031i | 0.205431 | − | 0.256630i | ||||
\(535\) | 2.47930 | + | 11.6642i | 0.107190 | + | 0.504287i | ||||
\(536\) | 3.62546 | − | 4.02648i | 0.156596 | − | 0.173918i | ||||
\(537\) | −3.55577 | − | 5.40844i | −0.153443 | − | 0.233391i | ||||
\(538\) | 27.2871i | 1.17643i | ||||||||
\(539\) | −17.7098 | + | 15.0121i | −0.762815 | + | 0.646617i | ||||
\(540\) | −1.22248 | + | 8.66400i | −0.0526073 | + | 0.372839i | ||||
\(541\) | 11.6192 | − | 1.22123i | 0.499549 | − | 0.0525047i | 0.148596 | − | 0.988898i | \(-0.452524\pi\) |
0.350953 | + | 0.936393i | \(0.385858\pi\) | |||||||
\(542\) | 4.42176 | + | 3.98137i | 0.189931 | + | 0.171014i | ||||
\(543\) | −21.0120 | − | 25.6508i | −0.901713 | − | 1.10078i | ||||
\(544\) | −3.91369 | + | 1.74249i | −0.167798 | + | 0.0747086i | ||||
\(545\) | −0.449901 | − | 0.326872i | −0.0192716 | − | 0.0140017i | ||||
\(546\) | 12.4376 | + | 6.29142i | 0.532282 | + | 0.269248i | ||||
\(547\) | −37.6447 | + | 12.2315i | −1.60957 | + | 0.522981i | −0.969449 | − | 0.245292i | \(-0.921116\pi\) |
−0.640122 | + | 0.768273i | \(0.721116\pi\) | |||||||
\(548\) | −4.28222 | + | 0.450080i | −0.182928 | + | 0.0192265i | ||||
\(549\) | 1.44209 | − | 15.3869i | 0.0615471 | − | 0.656697i | ||||
\(550\) | −2.75837 | − | 6.62763i | −0.117617 | − | 0.282603i | ||||
\(551\) | 5.70697 | + | 3.29492i | 0.243125 | + | 0.140368i | ||||
\(552\) | 6.25007 | − | 12.4393i | 0.266021 | − | 0.529450i | ||||
\(553\) | 2.81968 | + | 3.14864i | 0.119905 | + | 0.133894i | ||||
\(554\) | 12.8083 | + | 4.16166i | 0.544171 | + | 0.176812i | ||||
\(555\) | 11.5406 | − | 14.4168i | 0.489872 | − | 0.611960i | ||||
\(556\) | −0.681576 | − | 0.0716365i | −0.0289053 | − | 0.00303806i | ||||
\(557\) | −21.4025 | + | 4.54925i | −0.906855 | + | 0.192758i | −0.637651 | − | 0.770325i | \(-0.720094\pi\) |
−0.269204 | + | 0.963083i | \(0.586761\pi\) | |||||||
\(558\) | −14.4748 | + | 13.3316i | −0.612766 | + | 0.564371i | ||||
\(559\) | −16.9687 | + | 12.3285i | −0.717699 | + | 0.521439i | ||||
\(560\) | 0.477667 | − | 4.42951i | 0.0201851 | − | 0.187181i | ||||
\(561\) | 19.4143 | − | 15.1242i | 0.819672 | − | 0.638546i | ||||
\(562\) | −2.06494 | + | 3.57658i | −0.0871041 | + | 0.150869i | ||||
\(563\) | 30.3916 | + | 13.5312i | 1.28085 | + | 0.570272i | 0.930481 | − | 0.366339i | \(-0.119389\pi\) |
0.350370 | + | 0.936611i | \(0.386056\pi\) | |||||||
\(564\) | 4.93063 | − | 18.8251i | 0.207617 | − | 0.792678i | ||||
\(565\) | −1.33558 | − | 1.48332i | −0.0561885 | − | 0.0624036i | ||||
\(566\) | 12.3233 | − | 16.9615i | 0.517985 | − | 0.712945i | ||||
\(567\) | −9.25169 | + | 21.9410i | −0.388534 | + | 0.921434i | ||||
\(568\) | −15.9660 | − | 5.18766i | −0.669918 | − | 0.217669i | ||||
\(569\) | 12.7533 | + | 2.71079i | 0.534645 | + | 0.113642i | 0.467319 | − | 0.884089i | \(-0.345220\pi\) |
0.0673258 | + | 0.997731i | \(0.478553\pi\) | |||||||
\(570\) | −0.124554 | − | 2.14525i | −0.00521698 | − | 0.0898546i | ||||
\(571\) | −24.9189 | + | 14.3869i | −1.04282 | + | 0.602074i | −0.920632 | − | 0.390432i | \(-0.872326\pi\) |
−0.122192 | + | 0.992507i | \(0.538992\pi\) | |||||||
\(572\) | −2.88141 | − | 9.66755i | −0.120478 | − | 0.404221i | ||||
\(573\) | 0.437110 | − | 0.225831i | 0.0182606 | − | 0.00943421i | ||||
\(574\) | 6.72039 | + | 3.90427i | 0.280504 | + | 0.162961i | ||||
\(575\) | −16.5452 | + | 5.37586i | −0.689983 | + | 0.224189i | ||||
\(576\) | −2.97984 | + | 0.347191i | −0.124160 | + | 0.0144663i | ||||
\(577\) | −0.247461 | + | 2.35443i | −0.0103019 | + | 0.0980162i | −0.998465 | − | 0.0553934i | \(-0.982359\pi\) |
0.988163 | + | 0.153410i | \(0.0490254\pi\) | |||||||
\(578\) | −0.141453 | + | 1.34584i | −0.00588368 | + | 0.0559794i | ||||
\(579\) | 21.5731 | + | 8.14194i | 0.896545 | + | 0.338367i | ||||
\(580\) | 14.3241 | − | 4.65419i | 0.594776 | − | 0.193255i | ||||
\(581\) | −0.00699790 | + | 2.58934i | −0.000290322 | + | 0.107424i | ||||
\(582\) | 11.4970 | + | 22.2532i | 0.476566 | + | 0.922426i | ||||
\(583\) | −2.78815 | + | 1.92318i | −0.115473 | + | 0.0796499i | ||||
\(584\) | 12.9197 | − | 7.45919i | 0.534621 | − | 0.308663i | ||||
\(585\) | 13.2193 | − | 7.83211i | 0.546549 | − | 0.323818i | ||||
\(586\) | 1.08702 | + | 0.231052i | 0.0449042 | + | 0.00954468i | ||||
\(587\) | 21.6789 | + | 7.04391i | 0.894785 | + | 0.290733i | 0.720083 | − | 0.693888i | \(-0.244104\pi\) |
0.174702 | + | 0.984621i | \(0.444104\pi\) | |||||||
\(588\) | 4.34238 | − | 11.3201i | 0.179077 | − | 0.466831i | ||||
\(589\) | 2.84069 | − | 3.90988i | 0.117049 | − | 0.161104i | ||||
\(590\) | 7.61119 | + | 8.45308i | 0.313348 | + | 0.348008i | ||||
\(591\) | −10.2833 | − | 2.69340i | −0.423000 | − | 0.110791i | ||||
\(592\) | 5.78428 | + | 2.57533i | 0.237732 | + | 0.105845i | ||||
\(593\) | −23.8150 | + | 41.2487i | −0.977964 | + | 1.69388i | −0.308177 | + | 0.951329i | \(0.599719\pi\) |
−0.669786 | + | 0.742554i | \(0.733614\pi\) | |||||||
\(594\) | 16.1354 | − | 6.05376i | 0.662045 | − | 0.248389i | ||||
\(595\) | −15.4108 | − | 11.2604i | −0.631781 | − | 0.461630i | ||||
\(596\) | −1.94290 | + | 1.41160i | −0.0795841 | + | 0.0578212i | ||||
\(597\) | −1.28779 | − | 4.69999i | −0.0527057 | − | 0.192358i | ||||
\(598\) | −23.9122 | + | 5.08270i | −0.977844 | + | 0.207847i | ||||
\(599\) | 18.9661 | + | 1.99342i | 0.774936 | + | 0.0814490i | 0.483737 | − | 0.875214i | \(-0.339279\pi\) |
0.291199 | + | 0.956663i | \(0.405946\pi\) | |||||||
\(600\) | 2.92674 | + | 2.34285i | 0.119484 | + | 0.0956463i | ||||
\(601\) | 11.5061 | + | 3.73855i | 0.469342 | + | 0.152498i | 0.534133 | − | 0.845400i | \(-0.320638\pi\) |
−0.0647911 | + | 0.997899i | \(0.520638\pi\) | |||||||
\(602\) | 12.1715 | + | 13.5915i | 0.496072 | + | 0.553947i | ||||
\(603\) | −0.183194 | − | 16.2535i | −0.00746022 | − | 0.661892i | ||||
\(604\) | −13.4132 | − | 7.74412i | −0.545776 | − | 0.315104i | ||||
\(605\) | 11.6082 | − | 14.4343i | 0.471941 | − | 0.586837i | ||||
\(606\) | −7.83164 | + | 12.2097i | −0.318138 | + | 0.495987i | ||||
\(607\) | 15.2038 | − | 1.59798i | 0.617103 | − | 0.0648601i | 0.209181 | − | 0.977877i | \(-0.432920\pi\) |
0.407922 | + | 0.913017i | \(0.366254\pi\) | |||||||
\(608\) | 0.700708 | − | 0.227674i | 0.0284175 | − | 0.00923339i | ||||
\(609\) | 40.9251 | − | 2.26516i | 1.65837 | − | 0.0917890i | ||||
\(610\) | 7.01785 | + | 5.09877i | 0.284144 | + | 0.206443i | ||||
\(611\) | −31.2187 | + | 13.8995i | −1.26297 | + | 0.562312i | ||||
\(612\) | −5.09481 | + | 11.7992i | −0.205945 | + | 0.476956i | ||||
\(613\) | 19.1882 | + | 17.2772i | 0.775005 | + | 0.697818i | 0.958465 | − | 0.285209i | \(-0.0920631\pi\) |
−0.183460 | + | 0.983027i | \(0.558730\pi\) | |||||||
\(614\) | −10.4334 | + | 1.09659i | −0.421057 | + | 0.0442549i | ||||
\(615\) | 7.61198 | − | 3.93269i | 0.306945 | − | 0.158581i | ||||
\(616\) | −8.11042 | + | 3.34980i | −0.326778 | + | 0.134967i | ||||
\(617\) | − | 17.6513i | − | 0.710613i | −0.934750 | − | 0.355307i | \(-0.884376\pi\) | ||
0.934750 | − | 0.355307i | \(-0.115624\pi\) | |||||||
\(618\) | −19.6672 | + | 12.9302i | −0.791130 | + | 0.520128i | ||||
\(619\) | −3.76918 | + | 4.18610i | −0.151496 | + | 0.168254i | −0.814116 | − | 0.580702i | \(-0.802778\pi\) |
0.662620 | + | 0.748956i | \(0.269445\pi\) | |||||||
\(620\) | −2.29652 | − | 10.8043i | −0.0922306 | − | 0.433911i | ||||
\(621\) | −11.4896 | − | 40.1519i | −0.461062 | − | 1.61124i | ||||
\(622\) | −0.260263 | + | 0.358221i | −0.0104356 | + | 0.0143633i | ||||
\(623\) | 1.18171 | + | 11.5433i | 0.0473444 | + | 0.462472i | ||||
\(624\) | 3.74611 | + | 3.70412i | 0.149964 | + | 0.148284i | ||||
\(625\) | 0.992262 | + | 9.44074i | 0.0396905 | + | 0.377630i | ||||
\(626\) | 1.03376 | + | 1.79053i | 0.0413175 | + | 0.0715640i | ||||
\(627\) | −3.59243 | + | 2.23779i | −0.143468 | + | 0.0893689i | ||||
\(628\) | 6.58352 | − | 11.4030i | 0.262711 | − | 0.455029i | ||||
\(629\) | 21.9449 | − | 15.9439i | 0.874999 | − | 0.635724i | ||||
\(630\) | −7.94844 | − | 10.7453i | −0.316674 | − | 0.428102i | ||||
\(631\) | 5.09850 | − | 15.6916i | 0.202968 | − | 0.624672i | −0.796822 | − | 0.604214i | \(-0.793487\pi\) |
0.999791 | − | 0.0204585i | \(-0.00651261\pi\) | |||||||
\(632\) | 0.649770 | + | 1.45941i | 0.0258465 | + | 0.0580521i | ||||
\(633\) | 10.0621 | + | 25.7775i | 0.399932 | + | 1.02456i | ||||
\(634\) | −1.53197 | − | 7.20737i | −0.0608425 | − | 0.286241i | ||||
\(635\) | −29.5601 | − | 6.28319i | −1.17306 | − | 0.249341i | ||||
\(636\) | 0.794148 | − | 1.58056i | 0.0314900 | − | 0.0626732i | ||||
\(637\) | −20.2843 | + | 6.46978i | −0.803695 | + | 0.256342i | ||||
\(638\) | −21.5525 | − | 20.3835i | −0.853270 | − | 0.806991i | ||||
\(639\) | −45.7750 | + | 21.0017i | −1.81083 | + | 0.830813i | ||||
\(640\) | 0.684905 | − | 1.53832i | 0.0270733 | − | 0.0608075i | ||||
\(641\) | −15.7408 | − | 14.1731i | −0.621723 | − | 0.559802i | 0.296914 | − | 0.954904i | \(-0.404043\pi\) |
−0.918637 | + | 0.395102i | \(0.870709\pi\) | |||||||
\(642\) | −4.33105 | + | 11.4756i | −0.170933 | + | 0.452907i | ||||
\(643\) | 30.1474 | + | 21.9033i | 1.18890 | + | 0.863783i | 0.993147 | − | 0.116871i | \(-0.0372864\pi\) |
0.195748 | + | 0.980654i | \(0.437286\pi\) | |||||||
\(644\) | 6.51654 | + | 20.2418i | 0.256788 | + | 0.797640i | ||||
\(645\) | 19.8469 | − | 3.25820i | 0.781472 | − | 0.128291i | ||||
\(646\) | 0.656245 | − | 3.08739i | 0.0258196 | − | 0.121472i | ||||
\(647\) | 14.4493 | − | 32.4536i | 0.568059 | − | 1.27588i | −0.369880 | − | 0.929080i | \(-0.620601\pi\) |
0.937938 | − | 0.346802i | \(-0.112732\pi\) | |||||||
\(648\) | −5.86990 | + | 6.82234i | −0.230591 | + | 0.268007i | ||||
\(649\) | 7.44288 | − | 21.1313i | 0.292159 | − | 0.829476i | ||||
\(650\) | − | 6.58343i | − | 0.258223i | ||||||
\(651\) | 1.48516 | − | 30.0230i | 0.0582080 | − | 1.17669i | ||||
\(652\) | 2.09024 | + | 6.43310i | 0.0818601 | + | 0.251939i | ||||
\(653\) | −10.1007 | + | 9.09469i | −0.395270 | + | 0.355903i | −0.842669 | − | 0.538432i | \(-0.819017\pi\) |
0.447399 | + | 0.894334i | \(0.352350\pi\) | |||||||
\(654\) | −0.207995 | − | 0.532852i | −0.00813327 | − | 0.0208362i | ||||
\(655\) | 9.54448 | + | 1.00317i | 0.372934 | + | 0.0391969i | ||||
\(656\) | 1.96565 | + | 2.18307i | 0.0767456 | + | 0.0852347i | ||||
\(657\) | 13.3495 | − | 42.7178i | 0.520813 | − | 1.66658i | ||||
\(658\) | 14.7932 | + | 25.7833i | 0.576701 | + | 1.00514i | ||||
\(659\) | 3.19114 | 0.124309 | 0.0621546 | − | 0.998067i | \(-0.480203\pi\) | ||||
0.0621546 | + | 0.998067i | \(0.480203\pi\) | |||||||
\(660\) | −1.69312 | + | 9.52396i | −0.0659047 | + | 0.370720i | ||||
\(661\) | −3.83242 | − | 6.63794i | −0.149064 | − | 0.258186i | 0.781818 | − | 0.623507i | \(-0.214293\pi\) |
−0.930882 | + | 0.365321i | \(0.880959\pi\) | |||||||
\(662\) | −2.56356 | − | 1.14137i | −0.0996356 | − | 0.0443606i | ||||
\(663\) | 21.7670 | − | 5.96412i | 0.845360 | − | 0.231627i | ||||
\(664\) | −0.302429 | + | 0.930782i | −0.0117365 | + | 0.0361214i | ||||
\(665\) | 2.43338 | + | 2.20297i | 0.0943626 | + | 0.0854274i | ||||
\(666\) | 17.9980 | − | 6.07302i | 0.697410 | − | 0.235325i | ||||
\(667\) | −53.4235 | + | 48.1027i | −2.06857 | + | 1.86255i | ||||
\(668\) | −3.34239 | + | 3.71210i | −0.129321 | + | 0.143625i | ||||
\(669\) | 1.92267 | + | 33.1151i | 0.0743348 | + | 1.28030i | ||||
\(670\) | 7.90133 | + | 4.56184i | 0.305255 | + | 0.176239i | ||||
\(671\) | 2.20151 | − | 16.9430i | 0.0849883 | − | 0.654077i | ||||
\(672\) | 2.87345 | − | 3.56977i | 0.110846 | − | 0.137707i | ||||
\(673\) | 26.6253 | + | 36.6466i | 1.02633 | + | 1.41262i | 0.907669 | + | 0.419686i | \(0.137860\pi\) |
0.118660 | + | 0.992935i | \(0.462140\pi\) | |||||||
\(674\) | 1.49927 | − | 7.05353i | 0.0577498 | − | 0.271692i | ||||
\(675\) | 11.2199 | − | 0.778402i | 0.431855 | − | 0.0299607i | ||||
\(676\) | −0.391848 | + | 3.72818i | −0.0150711 | + | 0.143392i | ||||
\(677\) | 18.5505 | − | 8.25924i | 0.712955 | − | 0.317428i | −0.0180147 | − | 0.999838i | \(-0.505735\pi\) |
0.730970 | + | 0.682410i | \(0.239068\pi\) | |||||||
\(678\) | −0.332593 | − | 2.02595i | −0.0127732 | − | 0.0778062i | ||||
\(679\) | −36.3563 | − | 11.9216i | −1.39523 | − | 0.457509i | ||||
\(680\) | −4.24026 | − | 5.83622i | −0.162607 | − | 0.223809i | ||||
\(681\) | 0.493968 | + | 0.0230973i | 0.0189289 | + | 0.000885090i | ||||
\(682\) | −16.5192 | + | 14.1570i | −0.632554 | + | 0.542101i | ||||
\(683\) | −30.8382 | + | 17.8045i | −1.17999 | + | 0.681269i | −0.956013 | − | 0.293325i | \(-0.905238\pi\) |
−0.223980 | + | 0.974594i | \(0.571905\pi\) | |||||||
\(684\) | 1.08351 | − | 1.92651i | 0.0414290 | − | 0.0736621i | ||||
\(685\) | −2.24055 | − | 6.89571i | −0.0856070 | − | 0.263471i | ||||
\(686\) | 7.39545 | + | 16.9796i | 0.282359 | + | 0.648285i | ||||
\(687\) | 5.98412 | − | 39.2111i | 0.228308 | − | 1.49600i | ||||
\(688\) | 2.80481 | + | 6.29970i | 0.106932 | + | 0.240174i | ||||
\(689\) | −3.03834 | + | 0.645819i | −0.115752 | + | 0.0246037i | ||||
\(690\) | 22.6770 | + | 5.93951i | 0.863297 | + | 0.226113i | ||||
\(691\) | −1.11922 | − | 10.6487i | −0.0425772 | − | 0.405095i | −0.994966 | − | 0.100210i | \(-0.968049\pi\) |
0.952389 | − | 0.304885i | \(-0.0986181\pi\) | |||||||
\(692\) | 9.16876 | 0.348544 | ||||||||
\(693\) | −11.0889 | + | 23.8754i | −0.421232 | + | 0.906953i | ||||
\(694\) | 30.3481 | 1.15200 | ||||||||
\(695\) | −0.120629 | − | 1.14771i | −0.00457572 | − | 0.0435351i | ||||
\(696\) | 14.9864 | + | 3.92521i | 0.568057 | + | 0.148785i | ||||
\(697\) | 12.3099 | − | 2.61656i | 0.466272 | − | 0.0991091i | ||||
\(698\) | −3.44504 | − | 7.73770i | −0.130397 | − | 0.292876i | ||||
\(699\) | 1.47072 | − | 9.63696i | 0.0556279 | − | 0.364503i | ||||
\(700\) | −5.69687 | + | 0.583203i | −0.215321 | + | 0.0220430i | ||||
\(701\) | 8.31361 | + | 25.5867i | 0.314001 | + | 0.966394i | 0.976164 | + | 0.217035i | \(0.0696385\pi\) |
−0.662163 | + | 0.749360i | \(0.730361\pi\) | |||||||
\(702\) | 15.7946 | + | 0.560218i | 0.596130 | + | 0.0211441i | ||||
\(703\) | −4.03999 | + | 2.33249i | −0.152371 | + | 0.0879715i | ||||
\(704\) | −3.30596 | + | 0.265798i | −0.124598 | + | 0.0100176i | ||||
\(705\) | 32.7331 | + | 1.53056i | 1.23280 | + | 0.0576441i | ||||
\(706\) | −1.80490 | − | 2.48423i | −0.0679283 | − | 0.0934953i | ||||
\(707\) | −4.54825 | − | 21.6858i | −0.171054 | − | 0.815580i | ||||
\(708\) | 1.89537 | + | 11.5454i | 0.0712324 | + | 0.433904i | ||||
\(709\) | 22.4624 | − | 10.0009i | 0.843594 | − | 0.375592i | 0.0610102 | − | 0.998137i | \(-0.480568\pi\) |
0.782584 | + | 0.622545i | \(0.213901\pi\) | |||||||
\(710\) | 2.95489 | − | 28.1139i | 0.110895 | − | 1.05510i | ||||
\(711\) | 4.39991 | + | 1.89984i | 0.165010 | + | 0.0712497i | ||||
\(712\) | −0.911849 | + | 4.28991i | −0.0341730 | + | 0.160771i | ||||
\(713\) | 30.9890 | + | 42.6528i | 1.16055 | + | 1.59736i | ||||
\(714\) | −7.08923 | − | 18.3074i | −0.265308 | − | 0.685137i | ||||
\(715\) | 14.9147 | − | 8.13063i | 0.557778 | − | 0.304068i | ||||
\(716\) | 3.23631 | + | 1.86848i | 0.120947 | + | 0.0698285i | ||||
\(717\) | −1.76845 | − | 30.4589i | −0.0660441 | − | 1.13751i | ||||
\(718\) | 3.12050 | − | 3.46567i | 0.116456 | − | 0.129338i | ||||
\(719\) | −7.90862 | + | 7.12096i | −0.294942 | + | 0.265567i | −0.803294 | − | 0.595582i | \(-0.796921\pi\) |
0.508352 | + | 0.861149i | \(0.330255\pi\) | |||||||
\(720\) | −1.61511 | − | 4.78656i | −0.0601917 | − | 0.178385i | ||||
\(721\) | 7.57012 | − | 35.1473i | 0.281926 | − | 1.30895i | ||||
\(722\) | 5.70358 | − | 17.5538i | 0.212265 | − | 0.653285i | ||||
\(723\) | 34.1090 | − | 9.34580i | 1.26853 | − | 0.347574i | ||||
\(724\) | 17.4888 | + | 7.78654i | 0.649968 | + | 0.289384i | ||||
\(725\) | −9.67977 | − | 16.7659i | −0.359498 | − | 0.622668i | ||||
\(726\) | 18.0663 | − | 6.05058i | 0.670503 | − | 0.224558i | ||||
\(727\) | −2.10153 | −0.0779416 | −0.0389708 | − | 0.999240i | \(-0.512408\pi\) | ||||
−0.0389708 | + | 0.999240i | \(0.512408\pi\) | |||||||
\(728\) | −8.04727 | − | 0.0217484i | −0.298252 | − | 0.000806049i | ||||
\(729\) | 0.912742 | + | 26.9846i | 0.0338053 | + | 0.999428i | ||||
\(730\) | 16.8093 | + | 18.6686i | 0.622140 | + | 0.690957i | ||||
\(731\) | 29.3806 | + | 3.08803i | 1.08668 | + | 0.114215i | ||||
\(732\) | 3.24445 | + | 8.31178i | 0.119918 | + | 0.307212i | ||||
\(733\) | 15.7336 | − | 14.1666i | 0.581133 | − | 0.523254i | −0.325296 | − | 0.945612i | \(-0.605464\pi\) |
0.906429 | + | 0.422358i | \(0.138797\pi\) | |||||||
\(734\) | −4.99963 | − | 15.3873i | −0.184540 | − | 0.567955i | ||||
\(735\) | 20.1656 | + | 3.18916i | 0.743820 | + | 0.117634i | ||||
\(736\) | 8.03738i | 0.296262i | ||||||||
\(737\) | 0.440089 | − | 17.9646i | 0.0162109 | − | 0.661736i | ||||
\(738\) | 8.77439 | + | 0.822355i | 0.322990 | + | 0.0302713i | ||||
\(739\) | 17.8861 | − | 40.1729i | 0.657951 | − | 1.47778i | −0.208244 | − | 0.978077i | \(-0.566775\pi\) |
0.866195 | − | 0.499706i | \(-0.166559\pi\) | |||||||
\(740\) | −2.21674 | + | 10.4289i | −0.0814890 | + | 0.383376i | ||||
\(741\) | −3.83016 | + | 0.628784i | −0.140705 | + | 0.0230990i | ||||
\(742\) | 0.828006 | + | 2.57197i | 0.0303970 | + | 0.0944200i | ||||
\(743\) | 36.2210 | + | 26.3161i | 1.32882 | + | 0.965445i | 0.999777 | + | 0.0211299i | \(0.00672636\pi\) |
0.329044 | + | 0.944315i | \(0.393274\pi\) | |||||||
\(744\) | 4.01176 | − | 10.6296i | 0.147078 | − | 0.389702i | ||||
\(745\) | −3.00526 | − | 2.70595i | −0.110104 | − | 0.0991384i | ||||
\(746\) | 3.13769 | − | 7.04736i | 0.114879 | − | 0.258022i | ||||
\(747\) | 1.22435 | + | 2.66858i | 0.0447967 | + | 0.0976383i | ||||
\(748\) | −6.09533 | + | 12.8348i | −0.222867 | + | 0.469288i | ||||
\(749\) | −7.57442 | − | 17.1369i | −0.276763 | − | 0.626169i | ||||
\(750\) | −9.38149 | + | 18.6716i | −0.342563 | + | 0.681790i | ||||
\(751\) | −49.2241 | − | 10.4629i | −1.79621 | − | 0.381797i | −0.815736 | − | 0.578424i | \(-0.803668\pi\) |
−0.980478 | + | 0.196627i | \(0.937001\pi\) | |||||||
\(752\) | 2.33594 | + | 10.9898i | 0.0851831 | + | 0.400755i | ||||
\(753\) | −2.78477 | − | 7.13414i | −0.101483 | − | 0.259983i | ||||
\(754\) | −11.0652 | − | 24.8528i | −0.402970 | − | 0.905085i | ||||
\(755\) | 8.05939 | − | 24.8042i | 0.293311 | − | 0.902719i | ||||
\(756\) | −0.914416 | − | 13.7173i | −0.0332570 | − | 0.498893i | ||||
\(757\) | 1.26409 | − | 0.918418i | 0.0459443 | − | 0.0333805i | −0.564576 | − | 0.825381i | \(-0.690960\pi\) |
0.610520 | + | 0.792001i | \(0.290960\pi\) | |||||||
\(758\) | −12.4531 | + | 21.5693i | −0.452315 | + | 0.783433i | ||||
\(759\) | −11.1069 | − | 44.8154i | −0.403156 | − | 1.62670i | ||||
\(760\) | 0.620323 | + | 1.07443i | 0.0225015 | + | 0.0389737i | ||||
\(761\) | −3.28783 | − | 31.2816i | −0.119184 | − | 1.13396i | −0.876665 | − | 0.481101i | \(-0.840237\pi\) |
0.757481 | − | 0.652857i | \(-0.226430\pi\) | |||||||
\(762\) | −22.1036 | − | 21.8559i | −0.800729 | − | 0.791755i | ||||
\(763\) | 0.797253 | + | 0.357545i | 0.0288625 | + | 0.0129440i | ||||
\(764\) | −0.166964 | + | 0.229807i | −0.00604056 | + | 0.00831412i | ||||
\(765\) | −21.2183 | − | 4.26073i | −0.767150 | − | 0.154047i | ||||
\(766\) | 0.968737 | + | 4.55755i | 0.0350019 | + | 0.164671i | ||||
\(767\) | 13.7479 | − | 15.2686i | 0.496408 | − | 0.551317i | ||||
\(768\) | 1.44728 | − | 0.951513i | 0.0522243 | − | 0.0343348i | ||||
\(769\) | 1.65697i | 0.0597518i | 0.999554 | + | 0.0298759i | \(0.00951121\pi\) | ||||
−0.999554 | + | 0.0298759i | \(0.990489\pi\) | |||||||
\(770\) | −8.35696 | − | 12.1859i | −0.301164 | − | 0.439151i | ||||
\(771\) | 8.99010 | − | 4.64469i | 0.323771 | − | 0.167274i | ||||
\(772\) | −13.2398 | + | 1.39156i | −0.476512 | + | 0.0500834i | ||||
\(773\) | 38.6444 | + | 34.7955i | 1.38994 | + | 1.25151i | 0.931967 | + | 0.362542i | \(0.118091\pi\) |
0.457974 | + | 0.888966i | \(0.348575\pi\) | |||||||
\(774\) | 18.9927 | + | 8.20089i | 0.682680 | + | 0.294775i | ||||
\(775\) | −12.9705 | + | 5.77483i | −0.465913 | + | 0.207438i | ||||
\(776\) | −11.6994 | − | 8.50013i | −0.419985 | − | 0.305137i | ||||
\(777\) | −13.0968 | + | 25.8914i | −0.469846 | + | 0.928850i | ||||
\(778\) | −31.9056 | + | 10.3668i | −1.14387 | + | 0.371666i | ||||
\(779\) | −2.15248 | + | 0.226235i | −0.0771207 | + | 0.00810571i | ||||
\(780\) | −4.78956 | + | 7.46706i | −0.171494 | + | 0.267364i | ||||
\(781\) | −51.4040 | + | 21.3939i | −1.83938 | + | 0.765534i | ||||
\(782\) | 29.8196 | + | 17.2164i | 1.06635 | + | 0.615656i | ||||
\(783\) | 41.0476 | − | 21.7966i | 1.46692 | − | 0.778945i | ||||
\(784\) | 0.694060 | + | 6.96551i | 0.0247879 | + | 0.248768i | ||||
\(785\) | 21.0868 | + | 6.85153i | 0.752622 | + | 0.244542i | ||||
\(786\) | 7.70645 | + | 6.16898i | 0.274880 | + | 0.220040i | ||||
\(787\) | 1.84844 | + | 0.194278i | 0.0658896 | + | 0.00692528i | 0.137416 | − | 0.990513i | \(-0.456120\pi\) |
−0.0715263 | + | 0.997439i | \(0.522787\pi\) | |||||||
\(788\) | 6.00324 | − | 1.27603i | 0.213857 | − | 0.0454566i | ||||
\(789\) | 11.6780 | + | 42.6208i | 0.415749 | + | 1.51734i | ||||
\(790\) | −2.17631 | + | 1.58118i | −0.0774297 | + | 0.0562560i | ||||
\(791\) | 2.53218 | + | 1.85021i | 0.0900340 | + | 0.0657860i | ||||
\(792\) | −6.75495 | + | 7.30552i | −0.240027 | + | 0.259591i | ||||
\(793\) | 7.83430 | − | 13.5694i | 0.278204 | − | 0.481864i | ||||
\(794\) | 20.3810 | + | 9.07421i | 0.723295 | + | 0.322032i | ||||
\(795\) | 2.88138 | + | 0.754687i | 0.102192 | + | 0.0267660i | ||||
\(796\) | 1.88264 | + | 2.09088i | 0.0667283 | + | 0.0741092i | ||||
\(797\) | −17.6215 | + | 24.2539i | −0.624185 | + | 0.859117i | −0.997649 | − | 0.0685273i | \(-0.978170\pi\) |
0.373464 | + | 0.927645i | \(0.378170\pi\) | |||||||
\(798\) | 0.883410 | + | 3.25867i | 0.0312724 | + | 0.115356i | ||||
\(799\) | 45.7769 | + | 14.8738i | 1.61947 | + | 0.526198i | ||||
\(800\) | −2.11717 | − | 0.450018i | −0.0748532 | − | 0.0159105i | ||||
\(801\) | 6.70663 | + | 11.3196i | 0.236967 | + | 0.399960i | ||||
\(802\) | 27.4329 | − | 15.8384i | 0.968688 | − | 0.559272i | ||||
\(803\) | 16.4376 | − | 46.6684i | 0.580070 | − | 1.64689i | ||||
\(804\) | 4.30754 | + | 8.33754i | 0.151915 | + | 0.294042i | ||||
\(805\) | −31.0590 | + | 17.8202i | −1.09469 | + | 0.628078i | ||||
\(806\) | −18.9750 | + | 6.16535i | −0.668366 | + | 0.217165i | ||||
\(807\) | −44.2182 | − | 16.6885i | −1.55656 | − | 0.587463i | ||||
\(808\) | 0.875406 | − | 8.32893i | 0.0307967 | − | 0.293011i | ||||
\(809\) | 4.88242 | − | 46.4531i | 0.171657 | − | 1.63321i | −0.481828 | − | 0.876266i | \(-0.660027\pi\) |
0.653485 | − | 0.756940i | \(-0.273306\pi\) | |||||||
\(810\) | −13.2922 | − | 7.27982i | −0.467040 | − | 0.255787i | ||||
\(811\) | −16.8678 | + | 5.48067i | −0.592308 | + | 0.192452i | −0.589807 | − | 0.807544i | \(-0.700796\pi\) |
−0.00250090 | + | 0.999997i | \(0.500796\pi\) | |||||||
\(812\) | −20.5258 | + | 11.7767i | −0.720313 | + | 0.413281i | ||||
\(813\) | −9.15603 | + | 4.73041i | −0.321116 | + | 0.165903i | ||||
\(814\) | 20.1249 | − | 5.99823i | 0.705378 | − | 0.210238i | ||||
\(815\) | −9.86419 | + | 5.69509i | −0.345528 | + | 0.199490i | ||||
\(816\) | −0.430096 | − | 7.40775i | −0.0150564 | − | 0.259323i | ||||
\(817\) | −4.96964 | − | 1.05633i | −0.173866 | − | 0.0369563i | ||||
\(818\) | −8.62011 | − | 2.80084i | −0.301395 | − | 0.0979292i | ||||
\(819\) | −17.8019 | + | 16.3072i | −0.622047 | + | 0.569820i | ||||
\(820\) | −2.90757 | + | 4.00193i | −0.101537 | + | 0.139754i | ||||
\(821\) | 2.30175 | + | 2.55636i | 0.0803317 | + | 0.0892174i | 0.781971 | − | 0.623315i | \(-0.214215\pi\) |
−0.701639 | + | 0.712533i | \(0.747548\pi\) | |||||||
\(822\) | 1.88962 | − | 7.21453i | 0.0659080 | − | 0.251636i | ||||
\(823\) | −20.6887 | − | 9.21120i | −0.721163 | − | 0.321082i | 0.0131315 | − | 0.999914i | \(-0.495820\pi\) |
−0.734294 | + | 0.678832i | \(0.762487\pi\) | |||||||
\(824\) | 6.79453 | − | 11.7685i | 0.236699 | − | 0.409974i | ||||
\(825\) | 12.4269 | − | 0.416490i | 0.432651 | − | 0.0145003i | ||||
\(826\) | −14.4303 | − | 10.5439i | −0.502095 | − | 0.366871i | ||||
\(827\) | 11.1103 | − | 8.07211i | 0.386343 | − | 0.280695i | −0.377612 | − | 0.925964i | \(-0.623255\pi\) |
0.763955 | + | 0.645269i | \(0.223255\pi\) | |||||||
\(828\) | 16.3351 | + | 17.7358i | 0.567684 | + | 0.616363i | ||||
\(829\) | −50.7231 | + | 10.7815i | −1.76169 | + | 0.374458i | −0.971246 | − | 0.238080i | \(-0.923482\pi\) |
−0.790441 | + | 0.612538i | \(0.790149\pi\) | |||||||
\(830\) | −1.63898 | − | 0.172264i | −0.0568898 | − | 0.00597936i | ||||
\(831\) | −14.5773 | + | 18.2103i | −0.505680 | + | 0.631709i | ||||
\(832\) | −2.89273 | − | 0.939904i | −0.100287 | − | 0.0325853i | ||||
\(833\) | 27.3295 | + | 12.3453i | 0.946912 | + | 0.427740i | ||||
\(834\) | 0.532930 | − | 1.06067i | 0.0184539 | − | 0.0367279i | ||||
\(835\) | −7.28440 | − | 4.20565i | −0.252087 | − | 0.145543i | ||||
\(836\) | 1.27325 | − | 2.08565i | 0.0440363 | − | 0.0721336i | ||||
\(837\) | −12.7510 | − | 31.6096i | −0.440738 | − | 1.09259i | ||||
\(838\) | 22.8521 | − | 2.40185i | 0.789412 | − | 0.0829706i | ||||
\(839\) | −2.62044 | + | 0.851432i | −0.0904676 | + | 0.0293947i | −0.353901 | − | 0.935283i | \(-0.615145\pi\) |
0.263434 | + | 0.964678i | \(0.415145\pi\) | |||||||
\(840\) | 6.88580 | + | 3.48309i | 0.237583 | + | 0.120178i | ||||
\(841\) | −41.2596 | − | 29.9769i | −1.42275 | − | 1.03368i | ||||
\(842\) | 19.1595 | − | 8.53035i | 0.660279 | − | 0.293975i | ||||
\(843\) | −4.53288 | − | 5.53359i | −0.156121 | − | 0.190587i | ||||
\(844\) | −11.8727 | − | 10.6902i | −0.408675 | − | 0.367973i | ||||
\(845\) | −6.27790 | + | 0.659834i | −0.215966 | + | 0.0226990i | ||||
\(846\) | 27.4901 | + | 19.5032i | 0.945130 | + | 0.670534i | ||||
\(847\) | −13.1952 | + | 25.9401i | −0.453392 | + | 0.891311i | ||||
\(848\) | 1.02125i | 0.0350698i | ||||||||
\(849\) | 19.9490 | + | 30.3431i | 0.684649 | + | 1.04137i | ||||
\(850\) | −6.20467 | + | 6.89098i | −0.212818 | + | 0.236359i | ||||
\(851\) | −10.5807 | − | 49.7781i | −0.362700 | − | 1.70637i | ||||
\(852\) | 18.1711 | − | 22.6998i | 0.622533 | − | 0.777684i | ||||
\(853\) | −4.47516 | + | 6.15953i | −0.153227 | + | 0.210898i | −0.878729 | − | 0.477322i | \(-0.841608\pi\) |
0.725502 | + | 0.688220i | \(0.241608\pi\) | |||||||
\(854\) | −12.4361 | − | 5.57722i | −0.425554 | − | 0.190849i | ||||
\(855\) | 3.55251 | + | 1.11017i | 0.121493 | + | 0.0379672i | ||||
\(856\) | −0.740231 | − | 7.04283i | −0.0253006 | − | 0.240719i | ||||
\(857\) | 11.3163 | + | 19.6004i | 0.386557 | + | 0.669536i | 0.991984 | − | 0.126365i | \(-0.0403310\pi\) |
−0.605427 | + | 0.795901i | \(0.706998\pi\) | |||||||
\(858\) | 17.4283 | + | 1.24330i | 0.594993 | + | 0.0424455i | ||||
\(859\) | −23.4573 | + | 40.6292i | −0.800353 | + | 1.38625i | 0.119031 | + | 0.992891i | \(0.462021\pi\) |
−0.919384 | + | 0.393362i | \(0.871312\pi\) | |||||||
\(860\) | −9.39431 | + | 6.82537i | −0.320343 | + | 0.232743i | ||||
\(861\) | −10.4369 | + | 8.50245i | −0.355689 | + | 0.289763i | ||||
\(862\) | 5.69811 | − | 17.5370i | 0.194078 | − | 0.597312i | ||||
\(863\) | 14.4956 | + | 32.5577i | 0.493436 | + | 1.10828i | 0.973008 | + | 0.230773i | \(0.0741254\pi\) |
−0.479572 | + | 0.877503i | \(0.659208\pi\) | |||||||
\(864\) | 1.25982 | − | 5.04112i | 0.0428600 | − | 0.171502i | ||||
\(865\) | 3.21001 | + | 15.1019i | 0.109144 | + | 0.513481i | ||||
\(866\) | −24.2917 | − | 5.16337i | −0.825467 | − | 0.175458i | ||||
\(867\) | −2.09439 | − | 1.05232i | −0.0711293 | − | 0.0357387i | ||||
\(868\) | 7.01603 | + | 15.8736i | 0.238139 | + | 0.538784i | ||||
\(869\) | 4.78608 | + | 2.27294i | 0.162357 | + | 0.0771041i | ||||
\(870\) | −1.21846 | + | 26.0584i | −0.0413095 | + | 0.883463i | ||||
\(871\) | 6.70296 | − | 15.0551i | 0.227121 | − | 0.510122i | ||||
\(872\) | 0.245423 | + | 0.220980i | 0.00831107 | + | 0.00748332i | ||||
\(873\) | −43.0924 | + | 5.02083i | −1.45846 | + | 0.169929i | ||||
\(874\) | −4.79074 | − | 3.48068i | −0.162049 | − | 0.117736i | ||||
\(875\) | −9.78146 | − | 30.3834i | −0.330674 | − | 1.02715i | ||||
\(876\) | 4.18592 | + | 25.4981i | 0.141429 | + | 0.861500i | ||||
\(877\) | 3.50605 | − | 16.4946i | 0.118391 | − | 0.556985i | −0.878469 | − | 0.477799i | \(-0.841435\pi\) |
0.996860 | − | 0.0791856i | \(-0.0252320\pi\) | |||||||
\(878\) | −13.9759 | + | 31.3905i | −0.471665 | + | 1.05938i | ||||
\(879\) | −1.03922 | + | 1.62018i | −0.0350521 | + | 0.0546473i | ||||
\(880\) | −1.59522 | − | 5.35221i | −0.0537750 | − | 0.180423i | ||||
\(881\) | − | 37.6729i | − | 1.26923i | −0.772827 | − | 0.634616i | \(-0.781158\pi\) | ||
0.772827 | − | 0.634616i | \(-0.218842\pi\) | |||||||
\(882\) | 15.6882 | + | 13.9600i | 0.528249 | + | 0.470056i | ||||
\(883\) | −7.86328 | − | 24.2007i | −0.264620 | − | 0.814418i | −0.991781 | − | 0.127950i | \(-0.959160\pi\) |
0.727160 | − | 0.686468i | \(-0.240840\pi\) | |||||||
\(884\) | −9.68347 | + | 8.71903i | −0.325690 | + | 0.293253i | ||||
\(885\) | −18.3530 | + | 7.16397i | −0.616929 | + | 0.240814i | ||||
\(886\) | −17.5479 | − | 1.84436i | −0.589533 | − | 0.0619624i | ||||
\(887\) | −18.0132 | − | 20.0057i | −0.604825 | − | 0.671726i | 0.360505 | − | 0.932757i | \(-0.382604\pi\) |
−0.965330 | + | 0.261031i | \(0.915938\pi\) | |||||||
\(888\) | −7.71087 | + | 7.79827i | −0.258760 | + | 0.261693i | ||||
\(889\) | 47.4822 | + | 0.128325i | 1.59250 | + | 0.00430387i | ||||
\(890\) | −7.38518 | −0.247552 | ||||||||
\(891\) | −0.0582511 | + | 29.8496i | −0.00195148 | + | 0.999998i | ||||
\(892\) | −9.57560 | − | 16.5854i | −0.320615 | − | 0.555321i | ||||
\(893\) | −7.56214 | − | 3.36688i | −0.253057 | − | 0.112668i | ||||
\(894\) | −1.09921 | − | 4.01174i | −0.0367631 | − | 0.134173i | ||||
\(895\) | −1.94455 | + | 5.98471i | −0.0649991 | + | 0.200047i | ||||
\(896\) | −0.557075 | + | 2.58644i | −0.0186106 | + | 0.0864069i | ||||
\(897\) | 6.38804 | − | 41.8578i | 0.213291 | − | 1.39759i | ||||
\(898\) | 10.2352 | − | 9.21580i | 0.341552 | − | 0.307535i | ||||
\(899\) | −39.2581 | + | 43.6006i | −1.30933 | + | 1.45416i | ||||
\(900\) | −5.58650 | + | 3.30987i | −0.186217 | + | 0.110329i | ||||
\(901\) | 3.78894 | + | 2.18755i | 0.126228 | + | 0.0728778i | ||||
\(902\) | 9.66174 | + | 1.25541i | 0.321701 | + | 0.0418006i | ||||
\(903\) | −29.4687 | + | 11.4112i | −0.980655 | + | 0.379742i | ||||
\(904\) | 0.696726 | + | 0.958960i | 0.0231727 | + | 0.0318946i | ||||
\(905\) | −6.70235 | + | 31.5321i | −0.222794 | + | 1.04816i | ||||
\(906\) | 20.7526 | − | 16.9996i | 0.689458 | − | 0.564775i | ||||
\(907\) | 1.72853 | − | 16.4459i | 0.0573950 | − | 0.546077i | −0.927610 | − | 0.373550i | \(-0.878140\pi\) |
0.985005 | − | 0.172526i | \(-0.0551930\pi\) | |||||||
\(908\) | −0.260821 | + | 0.116125i | −0.00865566 | + | 0.00385375i | ||||
\(909\) | −14.9959 | − | 20.1584i | −0.497383 | − | 0.668611i | ||||
\(910\) | −2.78155 | − | 13.2623i | −0.0922076 | − | 0.439642i | ||||
\(911\) | 15.8987 | + | 21.8827i | 0.526747 | + | 0.725005i | 0.986630 | − | 0.162974i | \(-0.0521088\pi\) |
−0.459883 | + | 0.887979i | \(0.652109\pi\) | |||||||
\(912\) | −0.0596045 | + | 1.27473i | −0.00197370 | + | 0.0422104i | ||||
\(913\) | 1.24722 | + | 2.99674i | 0.0412769 | + | 0.0991776i | ||||
\(914\) | 5.72093 | − | 3.30298i | 0.189232 | − | 0.109253i | ||||
\(915\) | −12.5545 | + | 8.25394i | −0.415039 | + | 0.272867i | ||||
\(916\) | 7.07669 | + | 21.7798i | 0.233820 | + | 0.719625i | ||||
\(917\) | −15.0005 | + | 1.53564i | −0.495360 | + | 0.0507113i | ||||
\(918\) | −16.0045 | − | 15.4723i | −0.528228 | − | 0.510663i | ||||
\(919\) | 0.831256 | + | 1.86703i | 0.0274206 | + | 0.0615877i | 0.926737 | − | 0.375712i | \(-0.122602\pi\) |
−0.899316 | + | 0.437299i | \(0.855935\pi\) | |||||||
\(920\) | −13.2384 | + | 2.81391i | −0.436458 | + | 0.0927720i | ||||
\(921\) | 4.60394 | − | 17.5778i | 0.151705 | − | 0.579207i | ||||
\(922\) | 0.579854 | + | 5.51694i | 0.0190965 | + | 0.181691i | ||||
\(923\) | −51.0611 | −1.68070 | ||||||||
\(924\) | −0.468045 | − | 15.1915i | −0.0153975 | − | 0.499763i | ||||
\(925\) | 13.7047 | 0.450608 | ||||||||
\(926\) | −3.69681 | − | 35.1728i | −0.121485 | − | 1.15585i | ||||
\(927\) | −8.92485 | − | 39.7782i | −0.293131 | − | 1.30649i | ||||
\(928\) | −8.74880 | + | 1.85961i | −0.287193 | + | 0.0610449i | ||||
\(929\) | 4.70133 | + | 10.5594i | 0.154246 | + | 0.346442i | 0.974095 | − | 0.226137i | \(-0.0726098\pi\) |
−0.819850 | + | 0.572579i | \(0.805943\pi\) | |||||||
\(930\) | 18.9127 | + | 2.88632i | 0.620171 | + | 0.0946461i | ||||
\(931\) | −4.45241 | − | 2.60279i | −0.145922 | − | 0.0853030i | ||||
\(932\) | 1.73925 | + | 5.35285i | 0.0569709 | + | 0.175339i | ||||
\(933\) | −0.421316 | − | 0.640835i | −0.0137933 | − | 0.0209800i | ||||
\(934\) | 22.9494 | − | 13.2498i | 0.750926 | − | 0.433547i | ||||
\(935\) | −23.2743 | − | 5.54615i | −0.761152 | − | 0.181379i | ||||
\(936\) | −8.29354 | + | 3.80509i | −0.271083 | + | 0.124373i | ||||
\(937\) | 0.365319 | + | 0.502818i | 0.0119344 | + | 0.0164264i | 0.814943 | − | 0.579542i | \(-0.196768\pi\) |
−0.803008 | + | 0.595968i | \(0.796768\pi\) | |||||||
\(938\) | −13.6215 | − | 4.46662i | −0.444757 | − | 0.145840i | ||||
\(939\) | −3.53376 | + | 0.580125i | −0.115320 | + | 0.0189317i | ||||
\(940\) | −17.2835 | + | 7.69510i | −0.563725 | + | 0.250986i | ||||
\(941\) | 0.0251223 | − | 0.239023i | 0.000818965 | − | 0.00779193i | −0.994105 | − | 0.108424i | \(-0.965420\pi\) |
0.994924 | + | 0.100632i | \(0.0320864\pi\) | |||||||
\(942\) | 14.4519 | + | 17.6424i | 0.470869 | + | 0.574821i | ||||
\(943\) | 4.90895 | − | 23.0948i | 0.159857 | − | 0.752069i | ||||
\(944\) | −3.97048 | − | 5.46490i | −0.129228 | − | 0.177867i | ||||
\(945\) | 22.2737 | − | 6.30861i | 0.724563 | − | 0.205219i | ||||
\(946\) | 20.6597 | + | 9.81140i | 0.671704 | + | 0.318996i | ||||
\(947\) | 16.9856 | + | 9.80662i | 0.551957 | + | 0.318672i | 0.749911 | − | 0.661539i | \(-0.230096\pi\) |
−0.197954 | + | 0.980211i | \(0.563430\pi\) | |||||||
\(948\) | −2.76233 | + | 0.160382i | −0.0897165 | + | 0.00520896i | ||||
\(949\) | 30.3622 | − | 33.7206i | 0.985599 | − | 1.09462i | ||||
\(950\) | 1.18510 | − | 1.06707i | 0.0384497 | − | 0.0346203i | ||||
\(951\) | 12.6163 | + | 1.92542i | 0.409113 | + | 0.0624359i | ||||
\(952\) | 8.40271 | + | 7.60705i | 0.272333 | + | 0.246546i | ||||
\(953\) | −10.1199 | + | 31.1459i | −0.327816 | + | 1.00891i | 0.642337 | + | 0.766422i | \(0.277965\pi\) |
−0.970153 | + | 0.242492i | \(0.922035\pi\) | |||||||
\(954\) | 2.07557 | + | 2.25355i | 0.0671992 | + | 0.0729615i | ||||
\(955\) | −0.436971 | − | 0.194552i | −0.0141401 | − | 0.00629556i | ||||
\(956\) | 8.80754 | + | 15.2551i | 0.284856 | + | 0.493385i | ||||
\(957\) | 46.2124 | − | 22.4590i | 1.49383 | − | 0.725997i | ||||
\(958\) | −18.6372 | −0.602141 | ||||||||
\(959\) | 5.66937 | + | 9.88121i | 0.183074 | + | 0.319081i | ||||
\(960\) | 2.07394 | + | 2.05070i | 0.0669362 | + | 0.0661860i | ||||
\(961\) | 8.04820 | + | 8.93843i | 0.259619 | + | 0.288336i | ||||
\(962\) | 19.1529 | + | 2.01305i | 0.617514 | + | 0.0649033i | ||||
\(963\) | −15.9472 | − | 14.0368i | −0.513892 | − | 0.452328i | ||||
\(964\) | −15.1740 | + | 13.6628i | −0.488723 | + | 0.440048i | ||||
\(965\) | −6.92735 | − | 21.3202i | −0.222999 | − | 0.686322i | ||||
\(966\) | −36.7869 | − | 1.81976i | −1.18360 | − | 0.0585497i | ||||
\(967\) | 1.44662i | 0.0465203i | 0.999729 | + | 0.0232602i | \(0.00740461\pi\) | ||||
−0.999729 | + | 0.0232602i | \(0.992595\pi\) | |||||||
\(968\) | −7.75188 | + | 7.80438i | −0.249155 | + | 0.250842i | ||||
\(969\) | 4.60170 | + | 2.95165i | 0.147828 | + | 0.0948206i | ||||
\(970\) | 9.90462 | − | 22.2461i | 0.318018 | − | 0.714280i | ||||
\(971\) | −4.17496 | + | 19.6416i | −0.133981 | + | 0.630330i | 0.858992 | + | 0.511989i | \(0.171091\pi\) |
−0.992973 | + | 0.118341i | \(0.962242\pi\) | |||||||
\(972\) | −7.46550 | − | 13.6845i | −0.239456 | − | 0.438931i | ||||
\(973\) | 0.555651 | + | 1.72598i | 0.0178134 | + | 0.0553323i | ||||
\(974\) | −10.7297 | − | 7.79558i | −0.343802 | − | 0.249787i | ||||
\(975\) | 10.6683 | + | 4.02635i | 0.341660 | + | 0.128947i | ||||
\(976\) | −3.82827 | − | 3.44699i | −0.122540 | − | 0.110335i | ||||
\(977\) | −7.31354 | + | 16.4265i | −0.233981 | + | 0.525530i | −0.991930 | − | 0.126784i | \(-0.959535\pi\) |
0.757950 | + | 0.652313i | \(0.226201\pi\) | |||||||
\(978\) | −11.7031 | − | 0.547220i | −0.374223 | − | 0.0174982i | ||||
\(979\) | 6.96226 | + | 12.7714i | 0.222515 | + | 0.408177i | ||||
\(980\) | −11.2299 | + | 3.58184i | −0.358727 | + | 0.114418i | ||||
\(981\) | 0.990684 | − | 0.0111660i | 0.0316301 | − | 0.000356504i | ||||
\(982\) | −38.3666 | − | 8.15508i | −1.22433 | − | 0.260239i | ||||
\(983\) | 3.73952 | + | 17.5931i | 0.119272 | + | 0.561131i | 0.996682 | + | 0.0813904i | \(0.0259361\pi\) |
−0.877410 | + | 0.479741i | \(0.840731\pi\) | |||||||
\(984\) | −4.73980 | + | 1.85015i | −0.151099 | + | 0.0589806i | ||||
\(985\) | 4.20351 | + | 9.44124i | 0.133935 | + | 0.300823i | ||||
\(986\) | −11.8409 | + | 36.4424i | −0.377090 | + | 1.16056i | ||||
\(987\) | −50.8288 | + | 8.20336i | −1.61790 | + | 0.261116i | ||||
\(988\) | 1.81296 | − | 1.31720i | 0.0576781 | − | 0.0419056i | ||||
\(989\) | 27.7124 | − | 47.9993i | 0.881204 | − | 1.52629i | ||||
\(990\) | −14.3979 | − | 8.56843i | −0.457596 | − | 0.272323i | ||||
\(991\) | −16.9398 | − | 29.3406i | −0.538110 | − | 0.932034i | −0.999006 | − | 0.0445797i | \(-0.985805\pi\) |
0.460896 | − | 0.887454i | \(-0.347528\pi\) | |||||||
\(992\) | 0.685661 | + | 6.52363i | 0.0217698 | + | 0.207125i | ||||
\(993\) | 3.41742 | − | 3.45615i | 0.108448 | − | 0.109678i | ||||
\(994\) | 4.52333 | + | 44.1850i | 0.143471 | + | 1.40146i | ||||
\(995\) | −2.78478 | + | 3.83293i | −0.0882836 | + | 0.121512i | ||||
\(996\) | −1.32335 | − | 1.05934i | −0.0419320 | − | 0.0335664i | ||||
\(997\) | 12.9974 | + | 61.1480i | 0.411632 | + | 1.93658i | 0.344348 | + | 0.938842i | \(0.388100\pi\) |
0.0672837 | + | 0.997734i | \(0.478567\pi\) | |||||||
\(998\) | −1.48350 | + | 1.64759i | −0.0469593 | + | 0.0521536i | ||||
\(999\) | −1.16621 | + | 32.8797i | −0.0368971 | + | 1.04027i |
(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 | 462.2.bc.b.107.16 | yes | 128 | |
3.2 | odd | 2 | 462.2.bc.a.107.7 | yes | 128 | ||
7.4 | even | 3 | inner | 462.2.bc.b.305.6 | yes | 128 | |
11.7 | odd | 10 | 462.2.bc.a.359.6 | yes | 128 | ||
21.11 | odd | 6 | 462.2.bc.a.305.6 | yes | 128 | ||
33.29 | even | 10 | inner | 462.2.bc.b.359.6 | yes | 128 | |
77.18 | odd | 30 | 462.2.bc.a.95.7 | ✓ | 128 | ||
231.95 | even | 30 | inner | 462.2.bc.b.95.16 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bc.a.95.7 | ✓ | 128 | 77.18 | odd | 30 | ||
462.2.bc.a.107.7 | yes | 128 | 3.2 | odd | 2 | ||
462.2.bc.a.305.6 | yes | 128 | 21.11 | odd | 6 | ||
462.2.bc.a.359.6 | yes | 128 | 11.7 | odd | 10 | ||
462.2.bc.b.95.16 | yes | 128 | 231.95 | even | 30 | inner | |
462.2.bc.b.107.16 | yes | 128 | 1.1 | even | 1 | trivial | |
462.2.bc.b.305.6 | yes | 128 | 7.4 | even | 3 | inner | |
462.2.bc.b.359.6 | yes | 128 | 33.29 | even | 10 | inner |