Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(31,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.q (of order \(21\), degree \(12\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 101.3 | ||
Character | \(\chi\) | \(=\) | 430.101 |
Dual form | 430.2.q.c.281.3 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{13}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.623490 | + | 0.781831i | −0.440874 | + | 0.552838i | ||||
\(3\) | 0.396839 | − | 1.01113i | 0.229115 | − | 0.583776i | −0.769370 | − | 0.638804i | \(-0.779429\pi\) |
0.998485 | + | 0.0550278i | \(0.0175247\pi\) | |||||||
\(4\) | −0.222521 | − | 0.974928i | −0.111260 | − | 0.487464i | ||||
\(5\) | 0.0747301 | + | 0.997204i | 0.0334203 | + | 0.445963i | ||||
\(6\) | 0.543108 | + | 0.940691i | 0.221723 | + | 0.384035i | ||||
\(7\) | 0.223308 | − | 0.386780i | 0.0844023 | − | 0.146189i | −0.820734 | − | 0.571310i | \(-0.806435\pi\) |
0.905136 | + | 0.425121i | \(0.139769\pi\) | |||||||
\(8\) | 0.900969 | + | 0.433884i | 0.318541 | + | 0.153401i | ||||
\(9\) | 1.33425 | + | 1.23801i | 0.444751 | + | 0.412669i | ||||
\(10\) | −0.826239 | − | 0.563320i | −0.261280 | − | 0.178137i | ||||
\(11\) | 1.28267 | − | 5.61977i | 0.386741 | − | 1.69442i | −0.289037 | − | 0.957318i | \(-0.593335\pi\) |
0.675778 | − | 0.737105i | \(-0.263808\pi\) | |||||||
\(12\) | −1.07408 | − | 0.161892i | −0.310061 | − | 0.0467342i | ||||
\(13\) | 0.373719 | − | 0.254797i | 0.103651 | − | 0.0706681i | −0.510385 | − | 0.859946i | \(-0.670497\pi\) |
0.614036 | + | 0.789278i | \(0.289545\pi\) | |||||||
\(14\) | 0.163167 | + | 0.415742i | 0.0436082 | + | 0.111112i | ||||
\(15\) | 1.03796 | + | 0.320168i | 0.268000 | + | 0.0826670i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | −0.296178 | + | 3.95222i | −0.0718337 | + | 0.958554i | 0.838560 | + | 0.544810i | \(0.183398\pi\) |
−0.910393 | + | 0.413744i | \(0.864221\pi\) | |||||||
\(18\) | −1.79981 | + | 0.271277i | −0.424218 | + | 0.0639406i | ||||
\(19\) | −0.327885 | + | 0.304233i | −0.0752220 | + | 0.0697958i | −0.716888 | − | 0.697188i | \(-0.754434\pi\) |
0.641666 | + | 0.766984i | \(0.278244\pi\) | |||||||
\(20\) | 0.955573 | − | 0.294755i | 0.213673 | − | 0.0659093i | ||||
\(21\) | −0.302468 | − | 0.379282i | −0.0660039 | − | 0.0827662i | ||||
\(22\) | 3.59398 | + | 4.50670i | 0.766238 | + | 0.960832i | ||||
\(23\) | 7.04037 | − | 2.17167i | 1.46802 | − | 0.452824i | 0.545281 | − | 0.838253i | \(-0.316423\pi\) |
0.922737 | + | 0.385430i | \(0.125947\pi\) | |||||||
\(24\) | 0.796253 | − | 0.738815i | 0.162534 | − | 0.150810i | ||||
\(25\) | −0.988831 | + | 0.149042i | −0.197766 | + | 0.0298085i | ||||
\(26\) | −0.0338014 | + | 0.451049i | −0.00662901 | + | 0.0884580i | ||||
\(27\) | 4.71721 | − | 2.27169i | 0.907827 | − | 0.437187i | ||||
\(28\) | −0.426773 | − | 0.131642i | −0.0806526 | − | 0.0248780i | ||||
\(29\) | −2.44716 | − | 6.23526i | −0.454426 | − | 1.15786i | −0.956162 | − | 0.292838i | \(-0.905400\pi\) |
0.501736 | − | 0.865021i | \(-0.332695\pi\) | |||||||
\(30\) | −0.897474 | + | 0.611887i | −0.163856 | + | 0.111715i | ||||
\(31\) | 7.48974 | + | 1.12890i | 1.34520 | + | 0.202756i | 0.781851 | − | 0.623466i | \(-0.214276\pi\) |
0.563345 | + | 0.826221i | \(0.309514\pi\) | |||||||
\(32\) | 0.222521 | − | 0.974928i | 0.0393365 | − | 0.172345i | ||||
\(33\) | −5.17330 | − | 3.52710i | −0.900556 | − | 0.613988i | ||||
\(34\) | −2.90530 | − | 2.69573i | −0.498256 | − | 0.462314i | ||||
\(35\) | 0.402386 | + | 0.193779i | 0.0680157 | + | 0.0327546i | ||||
\(36\) | 0.910067 | − | 1.57628i | 0.151678 | − | 0.262714i | ||||
\(37\) | 2.40228 | + | 4.16087i | 0.394932 | + | 0.684043i | 0.993093 | − | 0.117334i | \(-0.0374348\pi\) |
−0.598160 | + | 0.801376i | \(0.704101\pi\) | |||||||
\(38\) | −0.0334259 | − | 0.446037i | −0.00542239 | − | 0.0723568i | ||||
\(39\) | −0.109327 | − | 0.478992i | −0.0175063 | − | 0.0767001i | ||||
\(40\) | −0.365341 | + | 0.930874i | −0.0577655 | + | 0.147184i | ||||
\(41\) | 6.05421 | − | 7.59174i | 0.945509 | − | 1.18563i | −0.0369812 | − | 0.999316i | \(-0.511774\pi\) |
0.982490 | − | 0.186315i | \(-0.0596544\pi\) | |||||||
\(42\) | 0.485120 | 0.0748557 | ||||||||
\(43\) | −5.94596 | − | 2.76505i | −0.906751 | − | 0.421667i | ||||
\(44\) | −5.76429 | −0.868999 | ||||||||
\(45\) | −1.13484 | + | 1.42304i | −0.169171 | + | 0.212134i | ||||
\(46\) | −2.69172 | + | 6.85839i | −0.396872 | + | 1.01121i | ||||
\(47\) | 0.856452 | + | 3.75236i | 0.124926 | + | 0.547338i | 0.998193 | + | 0.0600949i | \(0.0191403\pi\) |
−0.873266 | + | 0.487243i | \(0.838003\pi\) | |||||||
\(48\) | 0.0811730 | + | 1.08318i | 0.0117163 | + | 0.156343i | ||||
\(49\) | 3.40027 | + | 5.88944i | 0.485753 | + | 0.841348i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | 3.87867 | + | 1.86787i | 0.543123 | + | 0.261554i | ||||
\(52\) | −0.331569 | − | 0.307651i | −0.0459804 | − | 0.0426636i | ||||
\(53\) | 0.0159456 | + | 0.0108715i | 0.00219030 | + | 0.00149332i | 0.564415 | − | 0.825491i | \(-0.309102\pi\) |
−0.562224 | + | 0.826985i | \(0.690054\pi\) | |||||||
\(54\) | −1.16505 | + | 5.10444i | −0.158544 | + | 0.694626i | ||||
\(55\) | 5.69991 | + | 0.859123i | 0.768575 | + | 0.115844i | ||||
\(56\) | 0.369011 | − | 0.251587i | 0.0493111 | − | 0.0336198i | ||||
\(57\) | 0.177501 | + | 0.452266i | 0.0235106 | + | 0.0599041i | ||||
\(58\) | 6.40070 | + | 1.97436i | 0.840454 | + | 0.259246i | ||||
\(59\) | −7.61246 | + | 3.66597i | −0.991058 | + | 0.477269i | −0.857895 | − | 0.513825i | \(-0.828228\pi\) |
−0.133164 | + | 0.991094i | \(0.542514\pi\) | |||||||
\(60\) | 0.0811730 | − | 1.08318i | 0.0104794 | − | 0.139838i | ||||
\(61\) | −3.03953 | + | 0.458135i | −0.389172 | + | 0.0586582i | −0.340714 | − | 0.940167i | \(-0.610669\pi\) |
−0.0484578 | + | 0.998825i | \(0.515431\pi\) | |||||||
\(62\) | −5.55238 | + | 5.15186i | −0.705153 | + | 0.654286i | ||||
\(63\) | 0.776785 | − | 0.239606i | 0.0978657 | − | 0.0301876i | ||||
\(64\) | 0.623490 | + | 0.781831i | 0.0779362 | + | 0.0977289i | ||||
\(65\) | 0.282013 | + | 0.353633i | 0.0349794 | + | 0.0438628i | ||||
\(66\) | 5.98309 | − | 1.84554i | 0.736468 | − | 0.227170i | ||||
\(67\) | −9.95393 | + | 9.23589i | −1.21607 | + | 1.12834i | −0.228105 | + | 0.973636i | \(0.573253\pi\) |
−0.987960 | + | 0.154708i | \(0.950556\pi\) | |||||||
\(68\) | 3.91903 | − | 0.590699i | 0.475253 | − | 0.0716328i | ||||
\(69\) | 0.598058 | − | 7.98053i | 0.0719977 | − | 0.960743i | ||||
\(70\) | −0.402386 | + | 0.193779i | −0.0480944 | + | 0.0231610i | ||||
\(71\) | −9.82210 | − | 3.02972i | −1.16567 | − | 0.359561i | −0.349255 | − | 0.937028i | \(-0.613565\pi\) |
−0.816414 | + | 0.577466i | \(0.804041\pi\) | |||||||
\(72\) | 0.664970 | + | 1.69432i | 0.0783674 | + | 0.199677i | ||||
\(73\) | −8.00951 | + | 5.46079i | −0.937442 | + | 0.639137i | −0.932623 | − | 0.360851i | \(-0.882486\pi\) |
−0.00481879 | + | 0.999988i | \(0.501534\pi\) | |||||||
\(74\) | −4.75089 | − | 0.716082i | −0.552280 | − | 0.0832429i | ||||
\(75\) | −0.241706 | + | 1.05898i | −0.0279098 | + | 0.122281i | ||||
\(76\) | 0.369567 | + | 0.251966i | 0.0423922 | + | 0.0289025i | ||||
\(77\) | −1.88718 | − | 1.75105i | −0.215064 | − | 0.199551i | ||||
\(78\) | 0.442655 | + | 0.213172i | 0.0501208 | + | 0.0241369i | ||||
\(79\) | 5.58172 | − | 9.66782i | 0.627993 | − | 1.08772i | −0.359961 | − | 0.932967i | \(-0.617210\pi\) |
0.987954 | − | 0.154748i | \(-0.0494565\pi\) | |||||||
\(80\) | −0.500000 | − | 0.866025i | −0.0559017 | − | 0.0968246i | ||||
\(81\) | −0.0169417 | − | 0.226072i | −0.00188242 | − | 0.0251191i | ||||
\(82\) | 2.16072 | + | 9.46675i | 0.238612 | + | 1.04543i | ||||
\(83\) | −0.964527 | + | 2.45757i | −0.105871 | + | 0.269754i | −0.973986 | − | 0.226609i | \(-0.927236\pi\) |
0.868115 | + | 0.496363i | \(0.165331\pi\) | |||||||
\(84\) | −0.302468 | + | 0.379282i | −0.0330019 | + | 0.0413831i | ||||
\(85\) | −3.96330 | −0.429880 | ||||||||
\(86\) | 5.86905 | − | 2.92476i | 0.632876 | − | 0.315385i | ||||
\(87\) | −7.27579 | −0.780047 | ||||||||
\(88\) | 3.59398 | − | 4.50670i | 0.383119 | − | 0.480416i | ||||
\(89\) | 3.60004 | − | 9.17275i | 0.381603 | − | 0.972310i | −0.603037 | − | 0.797713i | \(-0.706043\pi\) |
0.984640 | − | 0.174596i | \(-0.0558620\pi\) | |||||||
\(90\) | −0.405018 | − | 1.77450i | −0.0426927 | − | 0.187049i | ||||
\(91\) | −0.0150962 | − | 0.201445i | −0.00158252 | − | 0.0211172i | ||||
\(92\) | −3.68385 | − | 6.38061i | −0.384067 | − | 0.665224i | ||||
\(93\) | 4.11368 | − | 7.12511i | 0.426569 | − | 0.738839i | ||||
\(94\) | −3.46770 | − | 1.66996i | −0.357666 | − | 0.172243i | ||||
\(95\) | −0.327885 | − | 0.304233i | −0.0336403 | − | 0.0312136i | ||||
\(96\) | −0.897474 | − | 0.611887i | −0.0915980 | − | 0.0624505i | ||||
\(97\) | −4.02232 | + | 17.6229i | −0.408404 | + | 1.78934i | 0.183165 | + | 0.983082i | \(0.441366\pi\) |
−0.591570 | + | 0.806254i | \(0.701491\pi\) | |||||||
\(98\) | −6.72458 | − | 1.01357i | −0.679285 | − | 0.102386i | ||||
\(99\) | 8.66872 | − | 5.91023i | 0.871239 | − | 0.594001i | ||||
\(100\) | 0.365341 | + | 0.930874i | 0.0365341 | + | 0.0930874i | ||||
\(101\) | −17.7937 | − | 5.48862i | −1.77054 | − | 0.546139i | −0.774301 | − | 0.632817i | \(-0.781898\pi\) |
−0.996236 | + | 0.0866786i | \(0.972375\pi\) | |||||||
\(102\) | −3.87867 | + | 1.86787i | −0.384046 | + | 0.184947i | ||||
\(103\) | −0.604963 | + | 8.07268i | −0.0596088 | + | 0.795424i | 0.884657 | + | 0.466242i | \(0.154392\pi\) |
−0.944266 | + | 0.329183i | \(0.893227\pi\) | |||||||
\(104\) | 0.447262 | − | 0.0674138i | 0.0438576 | − | 0.00661047i | ||||
\(105\) | 0.355618 | − | 0.329966i | 0.0347048 | − | 0.0322014i | ||||
\(106\) | −0.0184417 | + | 0.00568850i | −0.00179121 | + | 0.000552516i | ||||
\(107\) | 1.43090 | + | 1.79429i | 0.138330 | + | 0.173460i | 0.846171 | − | 0.532912i | \(-0.178902\pi\) |
−0.707841 | + | 0.706372i | \(0.750331\pi\) | |||||||
\(108\) | −3.26441 | − | 4.09344i | −0.314118 | − | 0.393892i | ||||
\(109\) | −4.01217 | + | 1.23759i | −0.384296 | + | 0.118540i | −0.480883 | − | 0.876785i | \(-0.659684\pi\) |
0.0965866 | + | 0.995325i | \(0.469208\pi\) | |||||||
\(110\) | −4.22552 | + | 3.92071i | −0.402888 | + | 0.373825i | ||||
\(111\) | 5.16050 | − | 0.777820i | 0.489813 | − | 0.0738274i | ||||
\(112\) | −0.0333756 | + | 0.445366i | −0.00315370 | + | 0.0420832i | ||||
\(113\) | −0.283930 | + | 0.136734i | −0.0267099 | + | 0.0128628i | −0.447191 | − | 0.894438i | \(-0.647576\pi\) |
0.420481 | + | 0.907301i | \(0.361861\pi\) | |||||||
\(114\) | −0.464266 | − | 0.143207i | −0.0434825 | − | 0.0134126i | ||||
\(115\) | 2.69172 | + | 6.85839i | 0.251004 | + | 0.639548i | ||||
\(116\) | −5.53439 | + | 3.77328i | −0.513855 | + | 0.350340i | ||||
\(117\) | 0.814076 | + | 0.122702i | 0.0752614 | + | 0.0113438i | ||||
\(118\) | 1.88012 | − | 8.23736i | 0.173079 | − | 0.758310i | ||||
\(119\) | 1.46250 | + | 0.997116i | 0.134067 | + | 0.0914054i | ||||
\(120\) | 0.796253 | + | 0.738815i | 0.0726876 | + | 0.0674442i | ||||
\(121\) | −20.0259 | − | 9.64394i | −1.82053 | − | 0.876722i | ||||
\(122\) | 1.53693 | − | 2.66204i | 0.139147 | − | 0.241010i | ||||
\(123\) | −5.27369 | − | 9.13430i | −0.475512 | − | 0.823612i | ||||
\(124\) | −0.566031 | − | 7.55315i | −0.0508311 | − | 0.678293i | ||||
\(125\) | −0.222521 | − | 0.974928i | −0.0199029 | − | 0.0872002i | ||||
\(126\) | −0.296986 | + | 0.756707i | −0.0264576 | + | 0.0674128i | ||||
\(127\) | 7.19610 | − | 9.02362i | 0.638550 | − | 0.800717i | −0.352271 | − | 0.935898i | \(-0.614590\pi\) |
0.990821 | + | 0.135182i | \(0.0431618\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −5.15542 | + | 4.91486i | −0.453909 | + | 0.432729i | ||||
\(130\) | −0.452314 | −0.0396705 | ||||||||
\(131\) | −3.98335 | + | 4.99497i | −0.348027 | + | 0.436412i | −0.924778 | − | 0.380508i | \(-0.875749\pi\) |
0.576750 | + | 0.816920i | \(0.304321\pi\) | |||||||
\(132\) | −2.28750 | + | 5.82845i | −0.199101 | + | 0.507301i | ||||
\(133\) | 0.0444520 | + | 0.194757i | 0.00385448 | + | 0.0168876i | ||||
\(134\) | −1.01474 | − | 13.5408i | −0.0876603 | − | 1.16975i | ||||
\(135\) | 2.61785 | + | 4.53426i | 0.225309 | + | 0.390247i | ||||
\(136\) | −1.98165 | + | 3.43232i | −0.169925 | + | 0.294319i | ||||
\(137\) | −14.9424 | − | 7.19590i | −1.27662 | − | 0.614787i | −0.332100 | − | 0.943244i | \(-0.607757\pi\) |
−0.944519 | + | 0.328457i | \(0.893471\pi\) | |||||||
\(138\) | 5.86654 | + | 5.44336i | 0.499393 | + | 0.463369i | ||||
\(139\) | 3.92808 | + | 2.67812i | 0.333175 | + | 0.227155i | 0.718339 | − | 0.695693i | \(-0.244903\pi\) |
−0.385164 | + | 0.922848i | \(0.625855\pi\) | |||||||
\(140\) | 0.0993812 | − | 0.435417i | 0.00839924 | − | 0.0367995i | ||||
\(141\) | 4.13400 | + | 0.623100i | 0.348145 | + | 0.0524745i | ||||
\(142\) | 8.49271 | − | 5.79023i | 0.712692 | − | 0.485905i | ||||
\(143\) | −0.952541 | − | 2.42704i | −0.0796555 | − | 0.202959i | ||||
\(144\) | −1.73927 | − | 0.536494i | −0.144939 | − | 0.0447078i | ||||
\(145\) | 6.03495 | − | 2.90628i | 0.501175 | − | 0.241353i | ||||
\(146\) | 0.724429 | − | 9.66683i | 0.0599542 | − | 0.800033i | ||||
\(147\) | 7.30435 | − | 1.10095i | 0.602452 | − | 0.0908051i | ||||
\(148\) | 3.52199 | − | 3.26793i | 0.289506 | − | 0.268622i | ||||
\(149\) | 12.3609 | − | 3.81284i | 1.01265 | − | 0.312360i | 0.256346 | − | 0.966585i | \(-0.417481\pi\) |
0.756300 | + | 0.654225i | \(0.227005\pi\) | |||||||
\(150\) | −0.677245 | − | 0.849238i | −0.0552968 | − | 0.0693400i | ||||
\(151\) | 8.05253 | + | 10.0976i | 0.655306 | + | 0.821728i | 0.992823 | − | 0.119592i | \(-0.0381586\pi\) |
−0.337517 | + | 0.941319i | \(0.609587\pi\) | |||||||
\(152\) | −0.427416 | + | 0.131840i | −0.0346680 | + | 0.0106937i | ||||
\(153\) | −5.28805 | + | 4.90659i | −0.427513 | + | 0.396674i | ||||
\(154\) | 2.54566 | − | 0.383697i | 0.205135 | − | 0.0309192i | ||||
\(155\) | −0.566031 | + | 7.55315i | −0.0454647 | + | 0.606684i | ||||
\(156\) | −0.442655 | + | 0.213172i | −0.0354408 | + | 0.0170674i | ||||
\(157\) | −2.82223 | − | 0.870542i | −0.225238 | − | 0.0694768i | 0.180082 | − | 0.983652i | \(-0.442364\pi\) |
−0.405320 | + | 0.914175i | \(0.632840\pi\) | |||||||
\(158\) | 4.07846 | + | 10.3918i | 0.324465 | + | 0.826724i | ||||
\(159\) | 0.0173204 | − | 0.0118088i | 0.00137360 | − | 0.000936502i | ||||
\(160\) | 0.988831 | + | 0.149042i | 0.0781739 | + | 0.0117828i | ||||
\(161\) | 0.732210 | − | 3.20802i | 0.0577062 | − | 0.252828i | ||||
\(162\) | 0.187313 | + | 0.127708i | 0.0147167 | + | 0.0100337i | ||||
\(163\) | −13.5201 | − | 12.5448i | −1.05897 | − | 0.982585i | −0.0590976 | − | 0.998252i | \(-0.518822\pi\) |
−0.999877 | + | 0.0156672i | \(0.995013\pi\) | |||||||
\(164\) | −8.74859 | − | 4.21310i | −0.683150 | − | 0.328988i | ||||
\(165\) | 3.13063 | − | 5.42241i | 0.243719 | − | 0.422134i | ||||
\(166\) | −1.32004 | − | 2.28637i | −0.102455 | − | 0.177457i | ||||
\(167\) | 0.461067 | + | 6.15251i | 0.0356784 | + | 0.476095i | 0.986213 | + | 0.165478i | \(0.0529167\pi\) |
−0.950535 | + | 0.310617i | \(0.899464\pi\) | |||||||
\(168\) | −0.107949 | − | 0.472957i | −0.00832848 | − | 0.0364895i | ||||
\(169\) | −4.67469 | + | 11.9109i | −0.359591 | + | 0.916224i | ||||
\(170\) | 2.47108 | − | 3.09863i | 0.189523 | − | 0.237654i | ||||
\(171\) | −0.814124 | −0.0622576 | ||||||||
\(172\) | −1.37263 | + | 6.41217i | −0.104662 | + | 0.488923i | ||||
\(173\) | 5.56916 | 0.423416 | 0.211708 | − | 0.977333i | \(-0.432097\pi\) | ||||
0.211708 | + | 0.977333i | \(0.432097\pi\) | |||||||
\(174\) | 4.53638 | − | 5.68844i | 0.343902 | − | 0.431240i | ||||
\(175\) | −0.163167 | + | 0.415742i | −0.0123343 | + | 0.0314272i | ||||
\(176\) | 1.28267 | + | 5.61977i | 0.0966853 | + | 0.423606i | ||||
\(177\) | 0.685847 | + | 9.15199i | 0.0515514 | + | 0.687906i | ||||
\(178\) | 4.92696 | + | 8.53374i | 0.369291 | + | 0.639631i | ||||
\(179\) | −7.96417 | + | 13.7944i | −0.595270 | + | 1.03104i | 0.398238 | + | 0.917282i | \(0.369622\pi\) |
−0.993509 | + | 0.113756i | \(0.963712\pi\) | |||||||
\(180\) | 1.63988 | + | 0.789727i | 0.122230 | + | 0.0588628i | ||||
\(181\) | 7.78768 | + | 7.22591i | 0.578854 | + | 0.537098i | 0.914340 | − | 0.404947i | \(-0.132710\pi\) |
−0.335486 | + | 0.942045i | \(0.608901\pi\) | |||||||
\(182\) | 0.166909 | + | 0.113796i | 0.0123721 | + | 0.00843514i | ||||
\(183\) | −0.742970 | + | 3.25516i | −0.0549219 | + | 0.240629i | ||||
\(184\) | 7.28540 | + | 1.09810i | 0.537087 | + | 0.0809528i | ||||
\(185\) | −3.96971 | + | 2.70650i | −0.291859 | + | 0.198986i | ||||
\(186\) | 3.00579 | + | 7.65864i | 0.220395 | + | 0.561558i | ||||
\(187\) | 21.8306 | + | 6.73386i | 1.59641 | + | 0.492429i | ||||
\(188\) | 3.46770 | − | 1.66996i | 0.252908 | − | 0.121794i | ||||
\(189\) | 0.174745 | − | 2.33181i | 0.0127108 | − | 0.169614i | ||||
\(190\) | 0.442292 | − | 0.0666648i | 0.0320872 | − | 0.00483637i | ||||
\(191\) | −12.7258 | + | 11.8078i | −0.920803 | + | 0.854380i | −0.989687 | − | 0.143244i | \(-0.954247\pi\) |
0.0688842 | + | 0.997625i | \(0.478056\pi\) | |||||||
\(192\) | 1.03796 | − | 0.320168i | 0.0749082 | − | 0.0231061i | ||||
\(193\) | −0.456601 | − | 0.572560i | −0.0328669 | − | 0.0412138i | 0.765126 | − | 0.643880i | \(-0.222676\pi\) |
−0.797993 | + | 0.602666i | \(0.794105\pi\) | |||||||
\(194\) | −11.2703 | − | 14.1325i | −0.809159 | − | 1.01465i | ||||
\(195\) | 0.469483 | − | 0.144816i | 0.0336204 | − | 0.0103705i | ||||
\(196\) | 4.98514 | − | 4.62554i | 0.356082 | − | 0.330396i | ||||
\(197\) | 15.6208 | − | 2.35446i | 1.11294 | − | 0.167748i | 0.433266 | − | 0.901266i | \(-0.357361\pi\) |
0.679670 | + | 0.733518i | \(0.262123\pi\) | |||||||
\(198\) | −0.784052 | + | 10.4624i | −0.0557201 | + | 0.743534i | ||||
\(199\) | 22.1952 | − | 10.6886i | 1.57337 | − | 0.757697i | 0.575194 | − | 0.818017i | \(-0.304926\pi\) |
0.998179 | + | 0.0603202i | \(0.0192122\pi\) | |||||||
\(200\) | −0.955573 | − | 0.294755i | −0.0675692 | − | 0.0208423i | ||||
\(201\) | 5.38858 | + | 13.7299i | 0.380081 | + | 0.968431i | ||||
\(202\) | 15.3854 | − | 10.4896i | 1.08251 | − | 0.738043i | ||||
\(203\) | −2.95814 | − | 0.445868i | −0.207621 | − | 0.0312938i | ||||
\(204\) | 0.957953 | − | 4.19707i | 0.0670701 | − | 0.293853i | ||||
\(205\) | 8.02294 | + | 5.46995i | 0.560347 | + | 0.382038i | ||||
\(206\) | −5.93428 | − | 5.50621i | −0.413461 | − | 0.383636i | ||||
\(207\) | 12.0822 | + | 5.81846i | 0.839769 | + | 0.404411i | ||||
\(208\) | −0.226157 | + | 0.391715i | −0.0156812 | + | 0.0271606i | ||||
\(209\) | 1.28915 | + | 2.23287i | 0.0891722 | + | 0.154451i | ||||
\(210\) | 0.0362531 | + | 0.483764i | 0.00250170 | + | 0.0333829i | ||||
\(211\) | 0.828872 | + | 3.63153i | 0.0570619 | + | 0.250005i | 0.995412 | − | 0.0956820i | \(-0.0305032\pi\) |
−0.938350 | + | 0.345687i | \(0.887646\pi\) | |||||||
\(212\) | 0.00705074 | − | 0.0179650i | 0.000484247 | − | 0.00123384i | ||||
\(213\) | −6.96123 | + | 8.72911i | −0.476976 | + | 0.598109i | ||||
\(214\) | −2.29498 | −0.156882 | ||||||||
\(215\) | 2.31298 | − | 6.13597i | 0.157744 | − | 0.418470i | ||||
\(216\) | 5.23571 | 0.356245 | ||||||||
\(217\) | 2.10915 | − | 2.64479i | 0.143178 | − | 0.179540i | ||||
\(218\) | 1.53396 | − | 3.90847i | 0.103893 | − | 0.264715i | ||||
\(219\) | 2.34308 | + | 10.2657i | 0.158331 | + | 0.693693i | ||||
\(220\) | −0.430766 | − | 5.74817i | −0.0290422 | − | 0.387542i | ||||
\(221\) | 0.896327 | + | 1.55248i | 0.0602935 | + | 0.104431i | ||||
\(222\) | −2.60939 | + | 4.51960i | −0.175131 | + | 0.303336i | ||||
\(223\) | 0.981983 | + | 0.472898i | 0.0657584 | + | 0.0316676i | 0.466474 | − | 0.884535i | \(-0.345524\pi\) |
−0.400716 | + | 0.916203i | \(0.631238\pi\) | |||||||
\(224\) | −0.327392 | − | 0.303775i | −0.0218748 | − | 0.0202968i | ||||
\(225\) | −1.50387 | − | 1.02532i | −0.100258 | − | 0.0683546i | ||||
\(226\) | 0.0701250 | − | 0.307238i | 0.00466464 | − | 0.0204371i | ||||
\(227\) | 10.6743 | + | 1.60889i | 0.708476 | + | 0.106786i | 0.493388 | − | 0.869809i | \(-0.335758\pi\) |
0.215087 | + | 0.976595i | \(0.430996\pi\) | |||||||
\(228\) | 0.401429 | − | 0.273690i | 0.0265853 | − | 0.0181255i | ||||
\(229\) | −1.45080 | − | 3.69657i | −0.0958712 | − | 0.244276i | 0.874891 | − | 0.484321i | \(-0.160933\pi\) |
−0.970762 | + | 0.240045i | \(0.922838\pi\) | |||||||
\(230\) | −7.04037 | − | 2.17167i | −0.464228 | − | 0.143195i | ||||
\(231\) | −2.51945 | + | 1.21330i | −0.165767 | + | 0.0798294i | ||||
\(232\) | 0.500564 | − | 6.67956i | 0.0328636 | − | 0.438535i | ||||
\(233\) | −8.18456 | + | 1.23362i | −0.536188 | + | 0.0808174i | −0.411554 | − | 0.911385i | \(-0.635014\pi\) |
−0.124634 | + | 0.992203i | \(0.539776\pi\) | |||||||
\(234\) | −0.603501 | + | 0.559967i | −0.0394521 | + | 0.0366062i | ||||
\(235\) | −3.67787 | + | 1.13447i | −0.239917 | + | 0.0740047i | ||||
\(236\) | 5.26799 | + | 6.60585i | 0.342917 | + | 0.430004i | ||||
\(237\) | −7.56038 | − | 9.48042i | −0.491100 | − | 0.615819i | ||||
\(238\) | −1.69143 | + | 0.521737i | −0.109639 | + | 0.0338192i | ||||
\(239\) | 12.5554 | − | 11.6498i | 0.812144 | − | 0.753560i | −0.160207 | − | 0.987083i | \(-0.551216\pi\) |
0.972351 | + | 0.233524i | \(0.0750256\pi\) | |||||||
\(240\) | −1.07408 | + | 0.161892i | −0.0693318 | + | 0.0104501i | ||||
\(241\) | 0.868923 | − | 11.5950i | 0.0559723 | − | 0.746898i | −0.896650 | − | 0.442741i | \(-0.854006\pi\) |
0.952622 | − | 0.304157i | \(-0.0983748\pi\) | |||||||
\(242\) | 20.0259 | − | 9.64394i | 1.28731 | − | 0.619936i | ||||
\(243\) | 14.7740 | + | 4.55717i | 0.947752 | + | 0.292343i | ||||
\(244\) | 1.12301 | + | 2.86138i | 0.0718932 | + | 0.183181i | ||||
\(245\) | −5.61887 | + | 3.83088i | −0.358976 | + | 0.244746i | ||||
\(246\) | 10.4296 | + | 1.57200i | 0.664965 | + | 0.100227i | ||||
\(247\) | −0.0450192 | + | 0.197242i | −0.00286450 | + | 0.0125502i | ||||
\(248\) | 6.25821 | + | 4.26677i | 0.397397 | + | 0.270940i | ||||
\(249\) | 2.10217 | + | 1.95052i | 0.133219 | + | 0.123609i | ||||
\(250\) | 0.900969 | + | 0.433884i | 0.0569823 | + | 0.0274412i | ||||
\(251\) | 3.95467 | − | 6.84969i | 0.249617 | − | 0.432349i | −0.713803 | − | 0.700347i | \(-0.753029\pi\) |
0.963419 | + | 0.267998i | \(0.0863621\pi\) | |||||||
\(252\) | −0.406450 | − | 0.703992i | −0.0256039 | − | 0.0443473i | ||||
\(253\) | −3.17375 | − | 42.3508i | −0.199532 | − | 2.66257i | ||||
\(254\) | 2.56826 | + | 11.2523i | 0.161147 | + | 0.706030i | ||||
\(255\) | −1.57279 | + | 4.00741i | −0.0984921 | + | 0.250954i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | −8.72126 | −0.544017 | −0.272009 | − | 0.962295i | \(-0.587688\pi\) | ||||
−0.272009 | + | 0.962295i | \(0.587688\pi\) | |||||||
\(258\) | −0.628241 | − | 7.09504i | −0.0391126 | − | 0.441718i | ||||
\(259\) | 2.14579 | 0.133333 | ||||||||
\(260\) | 0.282013 | − | 0.353633i | 0.0174897 | − | 0.0219314i | ||||
\(261\) | 4.45416 | − | 11.3490i | 0.275706 | − | 0.702487i | ||||
\(262\) | −1.42164 | − | 6.22862i | −0.0878294 | − | 0.384806i | ||||
\(263\) | −0.201849 | − | 2.69349i | −0.0124466 | − | 0.166088i | −0.999963 | − | 0.00857335i | \(-0.997271\pi\) |
0.987517 | − | 0.157514i | \(-0.0503481\pi\) | |||||||
\(264\) | −3.13063 | − | 5.42241i | −0.192677 | − | 0.333726i | ||||
\(265\) | −0.00964953 | + | 0.0167135i | −0.000592766 | + | 0.00102670i | ||||
\(266\) | −0.179982 | − | 0.0866750i | −0.0110354 | − | 0.00531438i | ||||
\(267\) | −7.84621 | − | 7.28022i | −0.480180 | − | 0.445542i | ||||
\(268\) | 11.2193 | + | 7.64918i | 0.685327 | + | 0.467248i | ||||
\(269\) | −1.92701 | + | 8.44280i | −0.117492 | + | 0.514767i | 0.881593 | + | 0.472010i | \(0.156471\pi\) |
−0.999086 | + | 0.0427570i | \(0.986386\pi\) | |||||||
\(270\) | −5.17723 | − | 0.780342i | −0.315076 | − | 0.0474901i | ||||
\(271\) | −20.5276 | + | 13.9955i | −1.24697 | + | 0.850167i | −0.993123 | − | 0.117079i | \(-0.962647\pi\) |
−0.253843 | + | 0.967245i | \(0.581695\pi\) | |||||||
\(272\) | −1.44796 | − | 3.68933i | −0.0877952 | − | 0.223699i | ||||
\(273\) | −0.209678 | − | 0.0646771i | −0.0126903 | − | 0.00391444i | ||||
\(274\) | 14.9424 | − | 7.19590i | 0.902706 | − | 0.434720i | ||||
\(275\) | −0.430766 | + | 5.74817i | −0.0259762 | + | 0.346628i | ||||
\(276\) | −7.91352 | + | 1.19277i | −0.476338 | + | 0.0717964i | ||||
\(277\) | −21.1566 | + | 19.6304i | −1.27118 | + | 1.17948i | −0.296703 | + | 0.954970i | \(0.595887\pi\) |
−0.974472 | + | 0.224508i | \(0.927922\pi\) | |||||||
\(278\) | −4.54295 | + | 1.40132i | −0.272468 | + | 0.0840453i | ||||
\(279\) | 8.59562 | + | 10.7786i | 0.514606 | + | 0.645296i | ||||
\(280\) | 0.278460 | + | 0.349178i | 0.0166412 | + | 0.0208674i | ||||
\(281\) | 4.35079 | − | 1.34204i | 0.259547 | − | 0.0800595i | −0.162251 | − | 0.986750i | \(-0.551875\pi\) |
0.421798 | + | 0.906690i | \(0.361399\pi\) | |||||||
\(282\) | −3.06466 | + | 2.84359i | −0.182498 | + | 0.169334i | ||||
\(283\) | 18.2460 | − | 2.75015i | 1.08461 | − | 0.163479i | 0.417678 | − | 0.908595i | \(-0.362844\pi\) |
0.666935 | + | 0.745116i | \(0.267606\pi\) | |||||||
\(284\) | −0.768133 | + | 10.2500i | −0.0455803 | + | 0.608227i | ||||
\(285\) | −0.437737 | + | 0.210803i | −0.0259293 | + | 0.0124869i | ||||
\(286\) | 2.49143 | + | 0.768505i | 0.147322 | + | 0.0454427i | ||||
\(287\) | −1.58438 | − | 4.03694i | −0.0935231 | − | 0.238293i | ||||
\(288\) | 1.50387 | − | 1.02532i | 0.0886161 | − | 0.0604175i | ||||
\(289\) | 1.27782 | + | 0.192600i | 0.0751657 | + | 0.0113294i | ||||
\(290\) | −1.49051 | + | 6.53035i | −0.0875258 | + | 0.383475i | ||||
\(291\) | 16.2228 | + | 11.0605i | 0.951000 | + | 0.648381i | ||||
\(292\) | 7.10616 | + | 6.59355i | 0.415857 | + | 0.385859i | ||||
\(293\) | −8.47082 | − | 4.07933i | −0.494871 | − | 0.238317i | 0.169765 | − | 0.985485i | \(-0.445699\pi\) |
−0.664636 | + | 0.747167i | \(0.731413\pi\) | |||||||
\(294\) | −3.69343 | + | 6.39720i | −0.215405 | + | 0.373092i | ||||
\(295\) | −4.22460 | − | 7.31722i | −0.245966 | − | 0.426025i | ||||
\(296\) | 0.359045 | + | 4.79112i | 0.0208691 | + | 0.278478i | ||||
\(297\) | −6.71571 | − | 29.4235i | −0.389685 | − | 1.70732i | ||||
\(298\) | −4.72591 | + | 12.0414i | −0.273765 | + | 0.697541i | ||||
\(299\) | 2.07778 | − | 2.60546i | 0.120161 | − | 0.150678i | ||||
\(300\) | 1.08622 | 0.0627127 | ||||||||
\(301\) | −2.39725 | + | 1.68232i | −0.138175 | + | 0.0969675i | ||||
\(302\) | −12.9153 | −0.743190 | ||||||||
\(303\) | −12.6109 | + | 15.8136i | −0.724480 | + | 0.908469i | ||||
\(304\) | 0.163413 | − | 0.416368i | 0.00937236 | − | 0.0238804i | ||||
\(305\) | −0.683998 | − | 2.99679i | −0.0391656 | − | 0.171596i | ||||
\(306\) | −0.539083 | − | 7.19357i | −0.0308174 | − | 0.411229i | ||||
\(307\) | −10.7094 | − | 18.5493i | −0.611219 | − | 1.05866i | −0.991035 | − | 0.133600i | \(-0.957346\pi\) |
0.379816 | − | 0.925062i | \(-0.375987\pi\) | |||||||
\(308\) | −1.28721 | + | 2.22951i | −0.0733455 | + | 0.127038i | ||||
\(309\) | 7.92245 | + | 3.81525i | 0.450693 | + | 0.217042i | ||||
\(310\) | −5.55238 | − | 5.15186i | −0.315354 | − | 0.292606i | ||||
\(311\) | −7.57548 | − | 5.16487i | −0.429566 | − | 0.292873i | 0.329171 | − | 0.944270i | \(-0.393231\pi\) |
−0.758737 | + | 0.651397i | \(0.774183\pi\) | |||||||
\(312\) | 0.109327 | − | 0.478992i | 0.00618941 | − | 0.0271176i | ||||
\(313\) | 16.4585 | + | 2.48071i | 0.930288 | + | 0.140218i | 0.596667 | − | 0.802489i | \(-0.296491\pi\) |
0.333621 | + | 0.942707i | \(0.391730\pi\) | |||||||
\(314\) | 2.44025 | − | 1.66373i | 0.137711 | − | 0.0938898i | ||||
\(315\) | 0.296986 | + | 0.756707i | 0.0167332 | + | 0.0426356i | ||||
\(316\) | −10.6675 | − | 3.29048i | −0.600093 | − | 0.185104i | ||||
\(317\) | −2.66180 | + | 1.28186i | −0.149502 | + | 0.0719963i | −0.507139 | − | 0.861864i | \(-0.669297\pi\) |
0.357637 | + | 0.933861i | \(0.383583\pi\) | |||||||
\(318\) | −0.00156656 | + | 0.0209043i | −8.78485e−5 | + | 0.00117226i | ||||
\(319\) | −38.1796 | + | 5.75465i | −2.13765 | + | 0.322199i | ||||
\(320\) | −0.733052 | + | 0.680173i | −0.0409788 | + | 0.0380228i | ||||
\(321\) | 2.38209 | − | 0.734778i | 0.132955 | − | 0.0410113i | ||||
\(322\) | 2.05161 | + | 2.57263i | 0.114332 | + | 0.143367i | ||||
\(323\) | −1.10528 | − | 1.38598i | −0.0614996 | − | 0.0771180i | ||||
\(324\) | −0.216634 | + | 0.0668227i | −0.0120352 | + | 0.00371237i | ||||
\(325\) | −0.331569 | + | 0.307651i | −0.0183922 | + | 0.0170654i | ||||
\(326\) | 18.2376 | − | 2.74887i | 1.01009 | − | 0.152246i | ||||
\(327\) | −0.340822 | + | 4.54795i | −0.0188475 | + | 0.251502i | ||||
\(328\) | 8.74859 | − | 4.21310i | 0.483060 | − | 0.232629i | ||||
\(329\) | 1.64259 | + | 0.506672i | 0.0905589 | + | 0.0279337i | ||||
\(330\) | 2.28750 | + | 5.82845i | 0.125923 | + | 0.320845i | ||||
\(331\) | −21.7172 | + | 14.8066i | −1.19369 | + | 0.813842i | −0.986388 | − | 0.164436i | \(-0.947420\pi\) |
−0.207299 | + | 0.978278i | \(0.566467\pi\) | |||||||
\(332\) | 2.61059 | + | 0.393482i | 0.143275 | + | 0.0215952i | ||||
\(333\) | −1.94593 | + | 8.52569i | −0.106636 | + | 0.467205i | ||||
\(334\) | −5.09769 | − | 3.47555i | −0.278933 | − | 0.190174i | ||||
\(335\) | −9.95393 | − | 9.23589i | −0.543841 | − | 0.504611i | ||||
\(336\) | 0.437078 | + | 0.210486i | 0.0238446 | + | 0.0114829i | ||||
\(337\) | −14.8980 | + | 25.8040i | −0.811544 | + | 1.40563i | 0.100240 | + | 0.994963i | \(0.468039\pi\) |
−0.911783 | + | 0.410672i | \(0.865294\pi\) | |||||||
\(338\) | −6.39771 | − | 11.0812i | −0.347989 | − | 0.602735i | ||||
\(339\) | 0.0255808 | + | 0.341352i | 0.00138936 | + | 0.0185397i | ||||
\(340\) | 0.881917 | + | 3.86393i | 0.0478287 | + | 0.209551i | ||||
\(341\) | 15.9510 | − | 40.6426i | 0.863797 | − | 2.20092i | ||||
\(342\) | 0.507598 | − | 0.636508i | 0.0274478 | − | 0.0344184i | ||||
\(343\) | 6.16353 | 0.332799 | ||||||||
\(344\) | −4.15742 | − | 5.07108i | −0.224153 | − | 0.273414i | ||||
\(345\) | 8.00291 | 0.430862 | ||||||||
\(346\) | −3.47232 | + | 4.35415i | −0.186673 | + | 0.234080i | ||||
\(347\) | 12.7983 | − | 32.6095i | 0.687049 | − | 1.75057i | 0.0266645 | − | 0.999644i | \(-0.491511\pi\) |
0.660384 | − | 0.750928i | \(-0.270393\pi\) | |||||||
\(348\) | 1.61902 | + | 7.09337i | 0.0867884 | + | 0.380245i | ||||
\(349\) | −0.241744 | − | 3.22585i | −0.0129403 | − | 0.172676i | −0.999929 | − | 0.0118884i | \(-0.996216\pi\) |
0.986989 | − | 0.160787i | \(-0.0514033\pi\) | |||||||
\(350\) | −0.223308 | − | 0.386780i | −0.0119363 | − | 0.0206743i | ||||
\(351\) | 1.18409 | − | 2.05091i | 0.0632021 | − | 0.109469i | ||||
\(352\) | −5.19344 | − | 2.50103i | −0.276812 | − | 0.133305i | ||||
\(353\) | −11.4412 | − | 10.6159i | −0.608953 | − | 0.565026i | 0.314249 | − | 0.949341i | \(-0.398247\pi\) |
−0.923202 | + | 0.384314i | \(0.874438\pi\) | |||||||
\(354\) | −7.58293 | − | 5.16996i | −0.403028 | − | 0.274780i | ||||
\(355\) | 2.28724 | − | 10.0210i | 0.121394 | − | 0.531862i | ||||
\(356\) | −9.74386 | − | 1.46865i | −0.516423 | − | 0.0778383i | ||||
\(357\) | 1.58859 | − | 1.08308i | 0.0840772 | − | 0.0573228i | ||||
\(358\) | −5.81928 | − | 14.8273i | −0.307558 | − | 0.783646i | ||||
\(359\) | −4.35441 | − | 1.34316i | −0.229817 | − | 0.0708892i | 0.177708 | − | 0.984083i | \(-0.443132\pi\) |
−0.407525 | + | 0.913194i | \(0.633608\pi\) | |||||||
\(360\) | −1.63988 | + | 0.789727i | −0.0864295 | + | 0.0416223i | ||||
\(361\) | −1.40492 | + | 18.7474i | −0.0739432 | + | 0.986703i | ||||
\(362\) | −10.5050 | + | 1.58337i | −0.552130 | + | 0.0832201i | ||||
\(363\) | −17.6983 | + | 16.4216i | −0.928921 | + | 0.861913i | ||||
\(364\) | −0.193035 | + | 0.0595435i | −0.0101178 | + | 0.00312093i | ||||
\(365\) | −6.04407 | − | 7.57903i | −0.316361 | − | 0.396704i | ||||
\(366\) | −2.08176 | − | 2.61044i | −0.108815 | − | 0.136450i | ||||
\(367\) | 19.0998 | − | 5.89150i | 0.997001 | − | 0.307534i | 0.247032 | − | 0.969007i | \(-0.420545\pi\) |
0.749969 | + | 0.661473i | \(0.230069\pi\) | |||||||
\(368\) | −5.40090 | + | 5.01130i | −0.281541 | + | 0.261232i | ||||
\(369\) | 17.4765 | − | 2.63415i | 0.909789 | − | 0.137129i | ||||
\(370\) | 0.359045 | − | 4.79112i | 0.0186659 | − | 0.249079i | ||||
\(371\) | 0.00776567 | − | 0.00373975i | 0.000403174 | − | 0.000194158i | ||||
\(372\) | −7.86184 | − | 2.42506i | −0.407618 | − | 0.125733i | ||||
\(373\) | 2.57971 | + | 6.57300i | 0.133573 | + | 0.340337i | 0.981974 | − | 0.189016i | \(-0.0605298\pi\) |
−0.848401 | + | 0.529353i | \(0.822435\pi\) | |||||||
\(374\) | −18.8759 | + | 12.8694i | −0.976051 | + | 0.665460i | ||||
\(375\) | −1.07408 | − | 0.161892i | −0.0554655 | − | 0.00836007i | ||||
\(376\) | −0.856452 | + | 3.75236i | −0.0441681 | + | 0.193513i | ||||
\(377\) | −2.50328 | − | 1.70671i | −0.128925 | − | 0.0878999i | ||||
\(378\) | 1.71413 | + | 1.59048i | 0.0881653 | + | 0.0818054i | ||||
\(379\) | 1.60058 | + | 0.770798i | 0.0822162 | + | 0.0395932i | 0.474540 | − | 0.880234i | \(-0.342614\pi\) |
−0.392324 | + | 0.919827i | \(0.628329\pi\) | |||||||
\(380\) | −0.223644 | + | 0.387363i | −0.0114727 | + | 0.0198713i | ||||
\(381\) | −6.26836 | − | 10.8571i | −0.321138 | − | 0.556227i | ||||
\(382\) | −1.29731 | − | 17.3114i | −0.0663762 | − | 0.885729i | ||||
\(383\) | −2.21781 | − | 9.71687i | −0.113325 | − | 0.496509i | −0.999453 | − | 0.0330687i | \(-0.989472\pi\) |
0.886128 | − | 0.463440i | \(-0.153385\pi\) | |||||||
\(384\) | −0.396839 | + | 1.01113i | −0.0202511 | + | 0.0515990i | ||||
\(385\) | 1.60512 | − | 2.01276i | 0.0818047 | − | 0.102580i | ||||
\(386\) | 0.732332 | 0.0372747 | ||||||||
\(387\) | −4.51027 | − | 11.0504i | −0.229270 | − | 0.561724i | ||||
\(388\) | 18.0761 | 0.917676 | ||||||||
\(389\) | 1.03761 | − | 1.30112i | 0.0526090 | − | 0.0659696i | −0.754831 | − | 0.655919i | \(-0.772281\pi\) |
0.807440 | + | 0.589950i | \(0.200853\pi\) | |||||||
\(390\) | −0.179496 | + | 0.457348i | −0.00908912 | + | 0.0231587i | ||||
\(391\) | 6.49770 | + | 28.4683i | 0.328603 | + | 1.43970i | ||||
\(392\) | 0.508205 | + | 6.78152i | 0.0256682 | + | 0.342518i | ||||
\(393\) | 3.46981 | + | 6.00989i | 0.175029 | + | 0.303159i | ||||
\(394\) | −7.89862 | + | 13.6808i | −0.397927 | + | 0.689230i | ||||
\(395\) | 10.0579 | + | 4.84364i | 0.506069 | + | 0.243710i | ||||
\(396\) | −7.69102 | − | 7.13622i | −0.386488 | − | 0.358609i | ||||
\(397\) | −15.9343 | − | 10.8638i | −0.799721 | − | 0.545241i | 0.0930975 | − | 0.995657i | \(-0.470323\pi\) |
−0.892819 | + | 0.450416i | \(0.851276\pi\) | |||||||
\(398\) | −5.48175 | + | 24.0171i | −0.274775 | + | 1.20387i | ||||
\(399\) | 0.214565 | + | 0.0323405i | 0.0107417 | + | 0.00161905i | ||||
\(400\) | 0.826239 | − | 0.563320i | 0.0413119 | − | 0.0281660i | ||||
\(401\) | 6.57493 | + | 16.7526i | 0.328336 | + | 0.836587i | 0.995767 | + | 0.0919150i | \(0.0292988\pi\) |
−0.667431 | + | 0.744672i | \(0.732606\pi\) | |||||||
\(402\) | −14.0942 | − | 4.34748i | −0.702954 | − | 0.216832i | ||||
\(403\) | 3.08670 | − | 1.48647i | 0.153759 | − | 0.0740466i | ||||
\(404\) | −1.39155 | + | 18.5689i | −0.0692320 | + | 0.923837i | ||||
\(405\) | 0.224174 | − | 0.0337887i | 0.0111393 | − | 0.00167898i | ||||
\(406\) | 2.19297 | − | 2.03478i | 0.108835 | − | 0.100984i | ||||
\(407\) | 26.4644 | − | 8.16320i | 1.31179 | − | 0.404635i | ||||
\(408\) | 2.68412 | + | 3.36578i | 0.132884 | + | 0.166631i | ||||
\(409\) | 21.3026 | + | 26.7126i | 1.05335 | + | 1.32085i | 0.945118 | + | 0.326728i | \(0.105946\pi\) |
0.108228 | + | 0.994126i | \(0.465482\pi\) | |||||||
\(410\) | −9.27880 | + | 2.86213i | −0.458247 | + | 0.141351i | ||||
\(411\) | −13.2057 | + | 12.2531i | −0.651391 | + | 0.604403i | ||||
\(412\) | 8.00489 | − | 1.20654i | 0.394373 | − | 0.0594421i | ||||
\(413\) | −0.281997 | + | 3.76299i | −0.0138762 | + | 0.185165i | ||||
\(414\) | −12.0822 | + | 5.81846i | −0.593806 | + | 0.285962i | ||||
\(415\) | −2.52278 | − | 0.778175i | −0.123839 | − | 0.0381991i | ||||
\(416\) | −0.165249 | − | 0.421047i | −0.00810199 | − | 0.0206435i | ||||
\(417\) | 4.26674 | − | 2.90902i | 0.208943 | − | 0.142455i | ||||
\(418\) | −2.54950 | − | 0.384275i | −0.124700 | − | 0.0187955i | ||||
\(419\) | −5.89480 | + | 25.8268i | −0.287980 | + | 1.26172i | 0.599313 | + | 0.800515i | \(0.295440\pi\) |
−0.887293 | + | 0.461207i | \(0.847417\pi\) | |||||||
\(420\) | −0.400825 | − | 0.273278i | −0.0195583 | − | 0.0133346i | ||||
\(421\) | −22.5690 | − | 20.9410i | −1.09995 | − | 1.02060i | −0.999671 | − | 0.0256423i | \(-0.991837\pi\) |
−0.100276 | − | 0.994960i | \(-0.531973\pi\) | |||||||
\(422\) | −3.35603 | − | 1.61618i | −0.163369 | − | 0.0786745i | ||||
\(423\) | −3.50272 | + | 6.06689i | −0.170308 | + | 0.294982i | ||||
\(424\) | 0.00964953 | + | 0.0167135i | 0.000468622 | + | 0.000811678i | ||||
\(425\) | −0.296178 | − | 3.95222i | −0.0143667 | − | 0.191711i | ||||
\(426\) | −2.48444 | − | 10.8850i | −0.120371 | − | 0.527381i | ||||
\(427\) | −0.501552 | + | 1.27793i | −0.0242718 | + | 0.0618435i | ||||
\(428\) | 1.43090 | − | 1.79429i | 0.0691650 | − | 0.0867301i | ||||
\(429\) | −2.83205 | −0.136733 | ||||||||
\(430\) | 3.35518 | + | 5.63407i | 0.161801 | + | 0.271699i | ||||
\(431\) | 34.3069 | 1.65251 | 0.826253 | − | 0.563300i | \(-0.190468\pi\) | ||||
0.826253 | + | 0.563300i | \(0.190468\pi\) | |||||||
\(432\) | −3.26441 | + | 4.09344i | −0.157059 | + | 0.196946i | ||||
\(433\) | 1.51032 | − | 3.84824i | 0.0725815 | − | 0.184935i | −0.889979 | − | 0.456001i | \(-0.849281\pi\) |
0.962561 | + | 0.271067i | \(0.0873764\pi\) | |||||||
\(434\) | 0.752746 | + | 3.29800i | 0.0361330 | + | 0.158309i | ||||
\(435\) | −0.543721 | − | 7.25545i | −0.0260694 | − | 0.347872i | ||||
\(436\) | 2.09935 | + | 3.63619i | 0.100541 | + | 0.174142i | ||||
\(437\) | −1.64774 | + | 2.85397i | −0.0788221 | + | 0.136524i | ||||
\(438\) | −9.48694 | − | 4.56867i | −0.453304 | − | 0.218300i | ||||
\(439\) | −15.2495 | − | 14.1495i | −0.727819 | − | 0.675318i | 0.226532 | − | 0.974004i | \(-0.427261\pi\) |
−0.954351 | + | 0.298686i | \(0.903452\pi\) | |||||||
\(440\) | 4.76268 | + | 3.24714i | 0.227052 | + | 0.154801i | ||||
\(441\) | −2.75434 | + | 12.0675i | −0.131159 | + | 0.574645i | ||||
\(442\) | −1.77263 | − | 0.267181i | −0.0843155 | − | 0.0127085i | ||||
\(443\) | 12.4949 | − | 8.51886i | 0.593650 | − | 0.404743i | −0.228889 | − | 0.973452i | \(-0.573509\pi\) |
0.822539 | + | 0.568709i | \(0.192557\pi\) | |||||||
\(444\) | −1.90664 | − | 4.85803i | −0.0904850 | − | 0.230552i | ||||
\(445\) | 9.41613 | + | 2.90449i | 0.446368 | + | 0.137686i | ||||
\(446\) | −0.981983 | + | 0.472898i | −0.0464982 | + | 0.0223924i | ||||
\(447\) | 1.05002 | − | 14.0116i | 0.0496644 | − | 0.662725i | ||||
\(448\) | 0.441627 | − | 0.0665645i | 0.0208649 | − | 0.00314488i | ||||
\(449\) | −27.3337 | + | 25.3619i | −1.28996 | + | 1.19690i | −0.321729 | + | 0.946832i | \(0.604264\pi\) |
−0.968227 | + | 0.250072i | \(0.919546\pi\) | |||||||
\(450\) | 1.73927 | − | 0.536494i | 0.0819900 | − | 0.0252906i | ||||
\(451\) | −34.8982 | − | 43.7610i | −1.64329 | − | 2.06062i | ||||
\(452\) | 0.196486 | + | 0.246385i | 0.00924191 | + | 0.0115890i | ||||
\(453\) | 13.4055 | − | 4.13505i | 0.629846 | − | 0.194282i | ||||
\(454\) | −7.91317 | + | 7.34235i | −0.371384 | + | 0.344594i | ||||
\(455\) | 0.199754 | − | 0.0301080i | 0.00936460 | − | 0.00141149i | ||||
\(456\) | −0.0363077 | + | 0.484493i | −0.00170026 | + | 0.0226884i | ||||
\(457\) | 6.71967 | − | 3.23602i | 0.314333 | − | 0.151375i | −0.270065 | − | 0.962842i | \(-0.587045\pi\) |
0.584398 | + | 0.811467i | \(0.301331\pi\) | |||||||
\(458\) | 3.79465 | + | 1.17049i | 0.177312 | + | 0.0546936i | ||||
\(459\) | 7.58108 | + | 19.3163i | 0.353854 | + | 0.901606i | ||||
\(460\) | 6.08747 | − | 4.15037i | 0.283830 | − | 0.193512i | ||||
\(461\) | 36.2268 | + | 5.46031i | 1.68725 | + | 0.254312i | 0.921375 | − | 0.388676i | \(-0.127067\pi\) |
0.765876 | + | 0.642988i | \(0.222305\pi\) | |||||||
\(462\) | 0.622252 | − | 2.72626i | 0.0289498 | − | 0.126837i | ||||
\(463\) | −9.42745 | − | 6.42753i | −0.438131 | − | 0.298712i | 0.324094 | − | 0.946025i | \(-0.394941\pi\) |
−0.762225 | + | 0.647312i | \(0.775893\pi\) | |||||||
\(464\) | 4.91019 | + | 4.55599i | 0.227950 | + | 0.211507i | ||||
\(465\) | 7.41260 | + | 3.56972i | 0.343751 | + | 0.165542i | ||||
\(466\) | 4.13850 | − | 7.16810i | 0.191712 | − | 0.332056i | ||||
\(467\) | −8.69804 | − | 15.0655i | −0.402497 | − | 0.697146i | 0.591529 | − | 0.806284i | \(-0.298524\pi\) |
−0.994027 | + | 0.109137i | \(0.965191\pi\) | |||||||
\(468\) | −0.0615232 | − | 0.820970i | −0.00284391 | − | 0.0379493i | ||||
\(469\) | 1.34947 | + | 5.91242i | 0.0623128 | + | 0.273010i | ||||
\(470\) | 1.40615 | − | 3.58280i | 0.0648607 | − | 0.165262i | ||||
\(471\) | −2.00020 | + | 2.50817i | −0.0921644 | + | 0.115571i | ||||
\(472\) | −8.44920 | −0.388906 | ||||||||
\(473\) | −23.1657 | + | 29.8683i | −1.06516 | + | 1.37334i | ||||
\(474\) | 12.1259 | 0.556961 | ||||||||
\(475\) | 0.278879 | − | 0.349704i | 0.0127959 | − | 0.0160455i | ||||
\(476\) | 0.646679 | − | 1.64771i | 0.0296405 | − | 0.0755227i | ||||
\(477\) | 0.00781647 | + | 0.0342462i | 0.000357891 | + | 0.00156802i | ||||
\(478\) | 1.27995 | + | 17.0797i | 0.0585435 | + | 0.781209i | ||||
\(479\) | −12.5692 | − | 21.7706i | −0.574303 | − | 0.994722i | −0.996117 | − | 0.0880396i | \(-0.971940\pi\) |
0.421814 | − | 0.906682i | \(-0.361394\pi\) | |||||||
\(480\) | 0.543108 | − | 0.940691i | 0.0247894 | − | 0.0429365i | ||||
\(481\) | 1.95796 | + | 0.942902i | 0.0892751 | + | 0.0429926i | ||||
\(482\) | 8.52355 | + | 7.90870i | 0.388237 | + | 0.360231i | ||||
\(483\) | −2.95316 | − | 2.01343i | −0.134373 | − | 0.0916142i | ||||
\(484\) | −4.94598 | + | 21.6697i | −0.224817 | + | 0.984988i | ||||
\(485\) | −17.8742 | − | 2.69411i | −0.811627 | − | 0.122333i | ||||
\(486\) | −12.7744 | + | 8.70942i | −0.579457 | + | 0.395067i | ||||
\(487\) | −10.5836 | − | 26.9665i | −0.479588 | − | 1.22197i | −0.942093 | − | 0.335352i | \(-0.891145\pi\) |
0.462505 | − | 0.886617i | \(-0.346951\pi\) | |||||||
\(488\) | −2.93730 | − | 0.906036i | −0.132965 | − | 0.0410143i | ||||
\(489\) | −18.0497 | + | 8.69229i | −0.816237 | + | 0.393079i | ||||
\(490\) | 0.508205 | − | 6.78152i | 0.0229583 | − | 0.306358i | ||||
\(491\) | −7.76768 | + | 1.17079i | −0.350550 | + | 0.0528370i | −0.321957 | − | 0.946754i | \(-0.604341\pi\) |
−0.0285931 | + | 0.999591i | \(0.509103\pi\) | |||||||
\(492\) | −7.73177 | + | 7.17404i | −0.348575 | + | 0.323431i | ||||
\(493\) | 25.3679 | − | 7.82497i | 1.14251 | − | 0.352419i | ||||
\(494\) | −0.126141 | − | 0.158176i | −0.00567535 | − | 0.00711666i | ||||
\(495\) | 6.54152 | + | 8.20281i | 0.294019 | + | 0.368689i | ||||
\(496\) | −7.23783 | + | 2.23257i | −0.324988 | + | 0.100246i | ||||
\(497\) | −3.36518 | + | 3.12243i | −0.150949 | + | 0.140060i | ||||
\(498\) | −2.83566 | + | 0.427407i | −0.127069 | + | 0.0191526i | ||||
\(499\) | −0.436016 | + | 5.81823i | −0.0195187 | + | 0.260460i | 0.978904 | + | 0.204320i | \(0.0654983\pi\) |
−0.998423 | + | 0.0561397i | \(0.982121\pi\) | |||||||
\(500\) | −0.900969 | + | 0.433884i | −0.0402926 | + | 0.0194039i | ||||
\(501\) | 6.40396 | + | 1.97536i | 0.286108 | + | 0.0882525i | ||||
\(502\) | 2.88961 | + | 7.36260i | 0.128969 | + | 0.328609i | ||||
\(503\) | 18.6841 | − | 12.7386i | 0.833084 | − | 0.567987i | −0.0699531 | − | 0.997550i | \(-0.522285\pi\) |
0.903037 | + | 0.429564i | \(0.141333\pi\) | |||||||
\(504\) | 0.803820 | + | 0.121156i | 0.0358050 | + | 0.00539673i | ||||
\(505\) | 4.14355 | − | 18.1541i | 0.184386 | − | 0.807847i | ||||
\(506\) | 35.0900 | + | 23.9239i | 1.55994 | + | 1.06355i | ||||
\(507\) | 10.1884 | + | 9.45344i | 0.452482 | + | 0.419842i | ||||
\(508\) | −10.3987 | − | 5.00773i | −0.461366 | − | 0.222182i | ||||
\(509\) | −9.10562 | + | 15.7714i | −0.403600 | + | 0.699055i | −0.994157 | − | 0.107940i | \(-0.965574\pi\) |
0.590558 | + | 0.806995i | \(0.298908\pi\) | |||||||
\(510\) | −2.15250 | − | 3.72824i | −0.0953143 | − | 0.165089i | ||||
\(511\) | 0.323541 | + | 4.31735i | 0.0143126 | + | 0.190988i | ||||
\(512\) | 0.222521 | + | 0.974928i | 0.00983413 | + | 0.0430861i | ||||
\(513\) | −0.855581 | + | 2.17998i | −0.0377748 | + | 0.0962486i | ||||
\(514\) | 5.43762 | − | 6.81855i | 0.239843 | − | 0.300754i | ||||
\(515\) | −8.09531 | −0.356722 | ||||||||
\(516\) | 5.93882 | + | 3.93250i | 0.261442 | + | 0.173119i | ||||
\(517\) | 22.1859 | 0.975736 | ||||||||
\(518\) | −1.33788 | + | 1.67764i | −0.0587829 | + | 0.0737115i | ||||
\(519\) | 2.21006 | − | 5.63115i | 0.0970110 | − | 0.247180i | ||||
\(520\) | 0.100649 | + | 0.440973i | 0.00441376 | + | 0.0193380i | ||||
\(521\) | −1.22968 | − | 16.4089i | −0.0538732 | − | 0.718887i | −0.957106 | − | 0.289737i | \(-0.906432\pi\) |
0.903233 | − | 0.429150i | \(-0.141187\pi\) | |||||||
\(522\) | 6.09590 | + | 10.5584i | 0.266810 | + | 0.462129i | ||||
\(523\) | 4.08960 | − | 7.08339i | 0.178826 | − | 0.309735i | −0.762653 | − | 0.646808i | \(-0.776104\pi\) |
0.941479 | + | 0.337073i | \(0.109437\pi\) | |||||||
\(524\) | 5.75611 | + | 2.77200i | 0.251457 | + | 0.121095i | ||||
\(525\) | 0.355618 | + | 0.329966i | 0.0155205 | + | 0.0144009i | ||||
\(526\) | 2.23171 | + | 1.52155i | 0.0973070 | + | 0.0663428i | ||||
\(527\) | −6.67994 | + | 29.2667i | −0.290983 | + | 1.27488i | ||||
\(528\) | 6.19133 | + | 0.933193i | 0.269443 | + | 0.0406120i | ||||
\(529\) | 25.8471 | − | 17.6223i | 1.12379 | − | 0.766186i | ||||
\(530\) | −0.00705074 | − | 0.0179650i | −0.000306264 | − | 0.000780349i | ||||
\(531\) | −14.6954 | − | 4.53295i | −0.637728 | − | 0.196713i | ||||
\(532\) | 0.179982 | − | 0.0866750i | 0.00780323 | − | 0.00375784i | ||||
\(533\) | 0.328219 | − | 4.37977i | 0.0142167 | − | 0.189709i | ||||
\(534\) | 10.5839 | − | 1.59527i | 0.458012 | − | 0.0690341i | ||||
\(535\) | −1.68234 | + | 1.56098i | −0.0727338 | + | 0.0674871i | ||||
\(536\) | −12.9755 | + | 4.00241i | −0.560455 | + | 0.172878i | ||||
\(537\) | 10.7874 | + | 13.5270i | 0.465510 | + | 0.583731i | ||||
\(538\) | −5.39937 | − | 6.77060i | −0.232784 | − | 0.291901i | ||||
\(539\) | 37.4587 | − | 11.5545i | 1.61346 | − | 0.497686i | ||||
\(540\) | 3.83805 | − | 3.56119i | 0.165163 | − | 0.153249i | ||||
\(541\) | 5.14934 | − | 0.776138i | 0.221388 | − | 0.0333688i | −0.0374117 | − | 0.999300i | \(-0.511911\pi\) |
0.258799 | + | 0.965931i | \(0.416673\pi\) | |||||||
\(542\) | 1.85665 | − | 24.7752i | 0.0797498 | − | 1.06419i | ||||
\(543\) | 10.3968 | − | 5.00683i | 0.446169 | − | 0.214864i | ||||
\(544\) | 3.78722 | + | 1.16820i | 0.162376 | + | 0.0500863i | ||||
\(545\) | −1.53396 | − | 3.90847i | −0.0657076 | − | 0.167420i | ||||
\(546\) | 0.181299 | − | 0.123607i | 0.00775887 | − | 0.00528991i | ||||
\(547\) | −17.2530 | − | 2.60046i | −0.737683 | − | 0.111188i | −0.230556 | − | 0.973059i | \(-0.574054\pi\) |
−0.507127 | + | 0.861871i | \(0.669293\pi\) | |||||||
\(548\) | −3.69048 | + | 16.1690i | −0.157649 | + | 0.690707i | ||||
\(549\) | −4.62267 | − | 3.15169i | −0.197291 | − | 0.134511i | ||||
\(550\) | −4.22552 | − | 3.92071i | −0.180177 | − | 0.167180i | ||||
\(551\) | 2.69936 | + | 1.29994i | 0.114997 | + | 0.0553794i | ||||
\(552\) | 4.00145 | − | 6.93072i | 0.170313 | − | 0.294991i | ||||
\(553\) | −2.49288 | − | 4.31780i | −0.106008 | − | 0.183611i | ||||
\(554\) | −2.15678 | − | 28.7802i | −0.0916328 | − | 1.22276i | ||||
\(555\) | 1.16129 | + | 5.08794i | 0.0492940 | + | 0.215971i | ||||
\(556\) | 1.73689 | − | 4.42553i | 0.0736607 | − | 0.187684i | ||||
\(557\) | −10.5320 | + | 13.2067i | −0.446255 | + | 0.559585i | −0.953180 | − | 0.302405i | \(-0.902211\pi\) |
0.506925 | + | 0.861990i | \(0.330782\pi\) | |||||||
\(558\) | −13.7863 | −0.583621 | ||||||||
\(559\) | −2.92665 | + | 0.481663i | −0.123784 | + | 0.0203722i | ||||
\(560\) | −0.446615 | −0.0188729 | ||||||||
\(561\) | 15.4721 | − | 19.4014i | 0.653231 | − | 0.819126i | ||||
\(562\) | −1.66342 | + | 4.23834i | −0.0701673 | + | 0.178783i | ||||
\(563\) | 4.92973 | + | 21.5985i | 0.207763 | + | 0.910270i | 0.966051 | + | 0.258350i | \(0.0831789\pi\) |
−0.758288 | + | 0.651920i | \(0.773964\pi\) | |||||||
\(564\) | −0.312424 | − | 4.16900i | −0.0131554 | − | 0.175547i | ||||
\(565\) | −0.157569 | − | 0.272918i | −0.00662899 | − | 0.0114818i | ||||
\(566\) | −9.22606 | + | 15.9800i | −0.387800 | + | 0.671690i | ||||
\(567\) | −0.0912233 | − | 0.0439308i | −0.00383102 | − | 0.00184492i | ||||
\(568\) | −7.53486 | − | 6.99133i | −0.316156 | − | 0.293350i | ||||
\(569\) | 2.93909 | + | 2.00384i | 0.123213 | + | 0.0840053i | 0.623359 | − | 0.781936i | \(-0.285768\pi\) |
−0.500145 | + | 0.865941i | \(0.666720\pi\) | |||||||
\(570\) | 0.108112 | − | 0.473670i | 0.00452832 | − | 0.0198398i | ||||
\(571\) | 5.62658 | + | 0.848070i | 0.235465 | + | 0.0354906i | 0.265715 | − | 0.964052i | \(-0.414392\pi\) |
−0.0302497 | + | 0.999542i | \(0.509630\pi\) | |||||||
\(572\) | −2.15422 | + | 1.46873i | −0.0900727 | + | 0.0614105i | ||||
\(573\) | 6.88912 | + | 17.5532i | 0.287797 | + | 0.733295i | ||||
\(574\) | 4.14405 | + | 1.27827i | 0.172969 | + | 0.0533540i | ||||
\(575\) | −6.63806 | + | 3.19672i | −0.276826 | + | 0.133313i | ||||
\(576\) | −0.136019 | + | 1.81505i | −0.00566745 | + | 0.0756269i | ||||
\(577\) | −45.2219 | + | 6.81610i | −1.88261 | + | 0.283758i | −0.986956 | − | 0.160990i | \(-0.948531\pi\) |
−0.895656 | + | 0.444748i | \(0.853293\pi\) | |||||||
\(578\) | −0.947286 | + | 0.878953i | −0.0394019 | + | 0.0365596i | ||||
\(579\) | −0.760130 | + | 0.234469i | −0.0315899 | + | 0.00974420i | ||||
\(580\) | −4.17632 | − | 5.23693i | −0.173412 | − | 0.217452i | ||||
\(581\) | 0.735155 | + | 0.921855i | 0.0304994 | + | 0.0382450i | ||||
\(582\) | −18.7623 | + | 5.78739i | −0.777721 | + | 0.239895i | ||||
\(583\) | 0.0815486 | − | 0.0756660i | 0.00337740 | − | 0.00313377i | ||||
\(584\) | −9.58567 | + | 1.44481i | −0.396658 | + | 0.0597865i | ||||
\(585\) | −0.0615232 | + | 0.820970i | −0.00254367 | + | 0.0339429i | ||||
\(586\) | 8.47082 | − | 4.07933i | 0.349926 | − | 0.168516i | ||||
\(587\) | −15.8270 | − | 4.88199i | −0.653251 | − | 0.201501i | −0.0496237 | − | 0.998768i | \(-0.515802\pi\) |
−0.603627 | + | 0.797267i | \(0.706278\pi\) | |||||||
\(588\) | −2.69872 | − | 6.87623i | −0.111293 | − | 0.283571i | ||||
\(589\) | −2.79922 | + | 1.90848i | −0.115340 | + | 0.0786374i | ||||
\(590\) | 8.35483 | + | 1.25929i | 0.343963 | + | 0.0518441i | ||||
\(591\) | 3.81829 | − | 16.7290i | 0.157063 | − | 0.688139i | ||||
\(592\) | −3.96971 | − | 2.70650i | −0.163154 | − | 0.111237i | ||||
\(593\) | 33.9310 | + | 31.4833i | 1.39338 | + | 1.29287i | 0.908254 | + | 0.418420i | \(0.137416\pi\) |
0.485124 | + | 0.874446i | \(0.338775\pi\) | |||||||
\(594\) | 27.1914 | + | 13.0947i | 1.11567 | + | 0.537281i | ||||
\(595\) | −0.885035 | + | 1.53293i | −0.0362829 | + | 0.0628438i | ||||
\(596\) | −6.46781 | − | 11.2026i | −0.264932 | − | 0.458875i | ||||
\(597\) | −1.99968 | − | 26.6839i | −0.0818414 | − | 1.09210i | ||||
\(598\) | 0.741553 | + | 3.24895i | 0.0303243 | + | 0.132860i | ||||
\(599\) | −4.90538 | + | 12.4987i | −0.200428 | + | 0.510683i | −0.995383 | − | 0.0959861i | \(-0.969400\pi\) |
0.794954 | + | 0.606669i | \(0.207495\pi\) | |||||||
\(600\) | −0.677245 | + | 0.849238i | −0.0276484 | + | 0.0346700i | ||||
\(601\) | 10.3765 | 0.423267 | 0.211633 | − | 0.977349i | \(-0.432122\pi\) | ||||
0.211633 | + | 0.977349i | \(0.432122\pi\) | |||||||
\(602\) | 0.179365 | − | 2.92315i | 0.00731038 | − | 0.119139i | ||||
\(603\) | −24.7151 | −1.00648 | ||||||||
\(604\) | 8.05253 | − | 10.0976i | 0.327653 | − | 0.410864i | ||||
\(605\) | 8.12044 | − | 20.6906i | 0.330143 | − | 0.841191i | ||||
\(606\) | −4.50079 | − | 19.7193i | −0.182832 | − | 0.801041i | ||||
\(607\) | −1.57815 | − | 21.0590i | −0.0640553 | − | 0.854759i | −0.933006 | − | 0.359860i | \(-0.882824\pi\) |
0.868951 | − | 0.494898i | \(-0.164795\pi\) | |||||||
\(608\) | 0.223644 | + | 0.387363i | 0.00906996 | + | 0.0157096i | ||||
\(609\) | −1.62474 | + | 2.81413i | −0.0658377 | + | 0.114034i | ||||
\(610\) | 2.76945 | + | 1.33370i | 0.112132 | + | 0.0539999i | ||||
\(611\) | 1.27616 | + | 1.18411i | 0.0516281 | + | 0.0479038i | ||||
\(612\) | 5.96027 | + | 4.06364i | 0.240930 | + | 0.164263i | ||||
\(613\) | 0.735754 | − | 3.22355i | 0.0297168 | − | 0.130198i | −0.957894 | − | 0.287123i | \(-0.907301\pi\) |
0.987610 | + | 0.156925i | \(0.0501582\pi\) | |||||||
\(614\) | 21.1796 | + | 3.19231i | 0.854739 | + | 0.128831i | ||||
\(615\) | 8.71465 | − | 5.94155i | 0.351409 | − | 0.239586i | ||||
\(616\) | −0.940541 | − | 2.39646i | −0.0378955 | − | 0.0965561i | ||||
\(617\) | 29.5472 | + | 9.11411i | 1.18953 | + | 0.366920i | 0.825464 | − | 0.564454i | \(-0.190913\pi\) |
0.364062 | + | 0.931375i | \(0.381390\pi\) | |||||||
\(618\) | −7.92245 | + | 3.81525i | −0.318688 | + | 0.153472i | ||||
\(619\) | 3.09378 | − | 41.2837i | 0.124350 | − | 1.65933i | −0.491062 | − | 0.871125i | \(-0.663391\pi\) |
0.615412 | − | 0.788206i | \(-0.288990\pi\) | |||||||
\(620\) | 7.48974 | − | 1.12890i | 0.300795 | − | 0.0453376i | ||||
\(621\) | 28.2775 | − | 26.2377i | 1.13474 | − | 1.05288i | ||||
\(622\) | 8.76129 | − | 2.70250i | 0.351296 | − | 0.108360i | ||||
\(623\) | −2.74392 | − | 3.44077i | −0.109933 | − | 0.137851i | ||||
\(624\) | 0.306327 | + | 0.384122i | 0.0122629 | + | 0.0153772i | ||||
\(625\) | 0.955573 | − | 0.294755i | 0.0382229 | − | 0.0117902i | ||||
\(626\) | −12.2012 | + | 11.3210i | −0.487658 | + | 0.452480i | ||||
\(627\) | 2.76931 | − | 0.417406i | 0.110595 | − | 0.0166696i | ||||
\(628\) | −0.220711 | + | 2.94518i | −0.00880732 | + | 0.117526i | ||||
\(629\) | −17.1562 | + | 8.26197i | −0.684061 | + | 0.329426i | ||||
\(630\) | −0.776785 | − | 0.239606i | −0.0309478 | − | 0.00954615i | ||||
\(631\) | 11.3028 | + | 28.7991i | 0.449959 | + | 1.14648i | 0.958413 | + | 0.285386i | \(0.0921220\pi\) |
−0.508454 | + | 0.861089i | \(0.669783\pi\) | |||||||
\(632\) | 9.22367 | − | 6.28859i | 0.366898 | − | 0.250147i | ||||
\(633\) | 4.00087 | + | 0.603035i | 0.159020 | + | 0.0239685i | ||||
\(634\) | 0.657411 | − | 2.88031i | 0.0261091 | − | 0.114392i | ||||
\(635\) | 9.53615 | + | 6.50164i | 0.378431 | + | 0.258010i | ||||
\(636\) | −0.0153669 | − | 0.0142584i | −0.000609338 | − | 0.000565383i | ||||
\(637\) | 2.77136 | + | 1.33462i | 0.109805 | + | 0.0528794i | ||||
\(638\) | 19.3054 | − | 33.4380i | 0.764310 | − | 1.32382i | ||||
\(639\) | −9.35436 | − | 16.2022i | −0.370053 | − | 0.640950i | ||||
\(640\) | −0.0747301 | − | 0.997204i | −0.00295397 | − | 0.0394179i | ||||
\(641\) | −4.21817 | − | 18.4810i | −0.166608 | − | 0.729955i | −0.987337 | − | 0.158638i | \(-0.949290\pi\) |
0.820729 | − | 0.571317i | \(-0.193567\pi\) | |||||||
\(642\) | −0.910738 | + | 2.32052i | −0.0359439 | + | 0.0915837i | ||||
\(643\) | 3.18958 | − | 3.99960i | 0.125785 | − | 0.157729i | −0.714951 | − | 0.699174i | \(-0.753551\pi\) |
0.840736 | + | 0.541445i | \(0.182123\pi\) | |||||||
\(644\) | −3.29052 | −0.129665 | ||||||||
\(645\) | −5.28638 | − | 4.77372i | −0.208151 | − | 0.187965i | ||||
\(646\) | 1.77274 | 0.0697474 | ||||||||
\(647\) | 12.3285 | − | 15.4594i | 0.484683 | − | 0.607773i | −0.478015 | − | 0.878352i | \(-0.658644\pi\) |
0.962698 | + | 0.270578i | \(0.0872149\pi\) | |||||||
\(648\) | 0.0828249 | − | 0.211034i | 0.00325367 | − | 0.00829022i | ||||
\(649\) | 10.8376 | + | 47.4825i | 0.425412 | + | 1.86385i | ||||
\(650\) | −0.0338014 | − | 0.451049i | −0.00132580 | − | 0.0176916i | ||||
\(651\) | −1.83723 | − | 3.18218i | −0.0720068 | − | 0.124719i | ||||
\(652\) | −9.22178 | + | 15.9726i | −0.361153 | + | 0.625535i | ||||
\(653\) | 6.69073 | + | 3.22209i | 0.261829 | + | 0.126090i | 0.560193 | − | 0.828362i | \(-0.310727\pi\) |
−0.298365 | + | 0.954452i | \(0.596441\pi\) | |||||||
\(654\) | −3.34323 | − | 3.10207i | −0.130731 | − | 0.121300i | ||||
\(655\) | −5.27868 | − | 3.59894i | −0.206255 | − | 0.140622i | ||||
\(656\) | −2.16072 | + | 9.46675i | −0.0843621 | + | 0.369614i | ||||
\(657\) | −17.4472 | − | 2.62974i | −0.680680 | − | 0.102596i | ||||
\(658\) | −1.42027 | + | 0.968324i | −0.0553679 | + | 0.0377492i | ||||
\(659\) | 1.61773 | + | 4.12190i | 0.0630177 | + | 0.160567i | 0.958914 | − | 0.283696i | \(-0.0915608\pi\) |
−0.895896 | + | 0.444263i | \(0.853466\pi\) | |||||||
\(660\) | −5.98309 | − | 1.84554i | −0.232892 | − | 0.0718375i | ||||
\(661\) | −13.8439 | + | 6.66688i | −0.538466 | + | 0.259312i | −0.683292 | − | 0.730146i | \(-0.739452\pi\) |
0.144825 | + | 0.989457i | \(0.453738\pi\) | |||||||
\(662\) | 1.96424 | − | 26.2109i | 0.0763423 | − | 1.01872i | ||||
\(663\) | 1.92546 | − | 0.290217i | 0.0747787 | − | 0.0112711i | ||||
\(664\) | −1.93531 | + | 1.79571i | −0.0751046 | + | 0.0696869i | ||||
\(665\) | −0.190890 | + | 0.0588819i | −0.00740241 | + | 0.00228334i | ||||
\(666\) | −5.45238 | − | 6.83707i | −0.211275 | − | 0.264931i | ||||
\(667\) | −30.7698 | − | 38.5841i | −1.19141 | − | 1.49398i | ||||
\(668\) | 5.89565 | − | 1.81857i | 0.228110 | − | 0.0703625i | ||||
\(669\) | 0.867851 | − | 0.805248i | 0.0335530 | − | 0.0311327i | ||||
\(670\) | 13.4271 | − | 2.02381i | 0.518733 | − | 0.0781865i | ||||
\(671\) | −1.32411 | + | 17.6691i | −0.0511169 | + | 0.682107i | ||||
\(672\) | −0.437078 | + | 0.210486i | −0.0168607 | + | 0.00811967i | ||||
\(673\) | −42.3786 | − | 13.0721i | −1.63358 | − | 0.503891i | −0.663804 | − | 0.747907i | \(-0.731059\pi\) |
−0.969771 | + | 0.244015i | \(0.921535\pi\) | |||||||
\(674\) | −10.8857 | − | 27.7362i | −0.419300 | − | 1.06836i | ||||
\(675\) | −4.32594 | + | 2.94938i | −0.166506 | + | 0.113522i | ||||
\(676\) | 12.6525 | + | 1.90706i | 0.486635 | + | 0.0733484i | ||||
\(677\) | 0.0220073 | − | 0.0964202i | 0.000845809 | − | 0.00370573i | −0.974503 | − | 0.224373i | \(-0.927966\pi\) |
0.975349 | + | 0.220668i | \(0.0708236\pi\) | |||||||
\(678\) | −0.282829 | − | 0.192829i | −0.0108620 | − | 0.00740557i | ||||
\(679\) | 5.91798 | + | 5.49108i | 0.227111 | + | 0.210728i | ||||
\(680\) | −3.57081 | − | 1.71961i | −0.136934 | − | 0.0659441i | ||||
\(681\) | 5.86276 | − | 10.1546i | 0.224661 | − | 0.389125i | ||||
\(682\) | 21.8303 | + | 37.8112i | 0.835926 | + | 1.44787i | ||||
\(683\) | 3.20924 | + | 42.8244i | 0.122798 | + | 1.63863i | 0.629852 | + | 0.776715i | \(0.283115\pi\) |
−0.507054 | + | 0.861914i | \(0.669266\pi\) | |||||||
\(684\) | 0.181160 | + | 0.793712i | 0.00692681 | + | 0.0303483i | ||||
\(685\) | 6.05913 | − | 15.4384i | 0.231507 | − | 0.589871i | ||||
\(686\) | −3.84290 | + | 4.81884i | −0.146722 | + | 0.183984i | ||||
\(687\) | −4.31344 | −0.164568 | ||||||||
\(688\) | 6.55684 | − | 0.0886307i | 0.249977 | − | 0.00337901i | ||||
\(689\) | 0.00872923 | 0.000332557 | ||||||||
\(690\) | −4.98973 | + | 6.25692i | −0.189956 | + | 0.238197i | ||||
\(691\) | −9.09155 | + | 23.1649i | −0.345859 | + | 0.881234i | 0.647060 | + | 0.762439i | \(0.275998\pi\) |
−0.992919 | + | 0.118795i | \(0.962097\pi\) | |||||||
\(692\) | −1.23926 | − | 5.42953i | −0.0471094 | − | 0.206400i | ||||
\(693\) | −0.350169 | − | 4.67269i | −0.0133018 | − | 0.177501i | ||||
\(694\) | 17.5156 | + | 30.3378i | 0.664881 | + | 1.15161i | ||||
\(695\) | −2.37708 | + | 4.11723i | −0.0901679 | + | 0.156175i | ||||
\(696\) | −6.55526 | − | 3.15685i | −0.248477 | − | 0.119660i | ||||
\(697\) | 28.2111 | + | 26.1761i | 1.06857 | + | 0.991489i | ||||
\(698\) | 2.67280 | + | 1.82228i | 0.101167 | + | 0.0689744i | ||||
\(699\) | −2.00060 | + | 8.76521i | −0.0756697 | + | 0.331531i | ||||
\(700\) | 0.441627 | + | 0.0665645i | 0.0166919 | + | 0.00251590i | ||||
\(701\) | 28.4178 | − | 19.3749i | 1.07332 | − | 0.731780i | 0.108347 | − | 0.994113i | \(-0.465444\pi\) |
0.964977 | + | 0.262333i | \(0.0844919\pi\) | |||||||
\(702\) | 0.865194 | + | 2.20448i | 0.0326546 | + | 0.0832027i | ||||
\(703\) | −2.05355 | − | 0.633435i | −0.0774509 | − | 0.0238904i | ||||
\(704\) | 5.19344 | − | 2.50103i | 0.195735 | − | 0.0942612i | ||||
\(705\) | −0.312424 | + | 4.16900i | −0.0117666 | + | 0.157014i | ||||
\(706\) | 15.4333 | − | 2.32620i | 0.580840 | − | 0.0875475i | ||||
\(707\) | −6.09635 | + | 5.65659i | −0.229277 | + | 0.212738i | ||||
\(708\) | 8.76992 | − | 2.70516i | 0.329594 | − | 0.101666i | ||||
\(709\) | −4.63395 | − | 5.81080i | −0.174032 | − | 0.218229i | 0.687164 | − | 0.726502i | \(-0.258855\pi\) |
−0.861196 | + | 0.508273i | \(0.830284\pi\) | |||||||
\(710\) | 6.40870 | + | 8.03626i | 0.240514 | + | 0.301595i | ||||
\(711\) | 19.4163 | − | 5.98912i | 0.728166 | − | 0.224610i | ||||
\(712\) | 7.22343 | − | 6.70237i | 0.270710 | − | 0.251182i | ||||
\(713\) | 55.1821 | − | 8.31736i | 2.06658 | − | 0.311487i | ||||
\(714\) | −0.143682 | + | 1.91730i | −0.00537716 | + | 0.0717532i | ||||
\(715\) | 2.34907 | − | 1.13125i | 0.0878501 | − | 0.0423064i | ||||
\(716\) | 15.2207 | + | 4.69496i | 0.568824 | + | 0.175459i | ||||
\(717\) | −6.79692 | − | 17.3183i | −0.253836 | − | 0.646763i | ||||
\(718\) | 3.76506 | − | 2.56697i | 0.140511 | − | 0.0957985i | ||||
\(719\) | 31.9291 | + | 4.81254i | 1.19076 | + | 0.179478i | 0.714376 | − | 0.699762i | \(-0.246711\pi\) |
0.476380 | + | 0.879240i | \(0.341949\pi\) | |||||||
\(720\) | 0.405018 | − | 1.77450i | 0.0150941 | − | 0.0661317i | ||||
\(721\) | 2.98726 | + | 2.03668i | 0.111251 | + | 0.0758498i | ||||
\(722\) | −13.7813 | − | 12.7872i | −0.512888 | − | 0.475890i | ||||
\(723\) | −11.3792 | − | 5.47993i | −0.423197 | − | 0.203801i | ||||
\(724\) | 5.31182 | − | 9.20034i | 0.197412 | − | 0.341928i | ||||
\(725\) | 3.34915 | + | 5.80089i | 0.124384 | + | 0.215440i | ||||
\(726\) | −1.80423 | − | 24.0758i | −0.0669614 | − | 0.893538i | ||||
\(727\) | 4.67024 | + | 20.4616i | 0.173209 | + | 0.758880i | 0.984664 | + | 0.174464i | \(0.0558193\pi\) |
−0.811454 | + | 0.584416i | \(0.801324\pi\) | |||||||
\(728\) | 0.0738026 | − | 0.188046i | 0.00273531 | − | 0.00696944i | ||||
\(729\) | 10.8948 | − | 13.6617i | 0.403513 | − | 0.505989i | ||||
\(730\) | 9.69394 | 0.358789 | ||||||||
\(731\) | 12.6892 | − | 22.6808i | 0.469325 | − | 0.838880i | ||||
\(732\) | 3.33888 | 0.123408 | ||||||||
\(733\) | −25.4211 | + | 31.8771i | −0.938950 | + | 1.17741i | 0.0450041 | + | 0.998987i | \(0.485670\pi\) |
−0.983954 | + | 0.178420i | \(0.942902\pi\) | |||||||
\(734\) | −7.30236 | + | 18.6061i | −0.269535 | + | 0.686764i | ||||
\(735\) | 1.64373 | + | 7.20165i | 0.0606299 | + | 0.265637i | ||||
\(736\) | −0.550588 | − | 7.34709i | −0.0202950 | − | 0.270817i | ||||
\(737\) | 39.1359 | + | 67.7854i | 1.44159 | + | 2.49691i | ||||
\(738\) | −8.83694 | + | 15.3060i | −0.325292 | + | 0.563422i | ||||
\(739\) | −32.5782 | − | 15.6889i | −1.19841 | − | 0.577124i | −0.275188 | − | 0.961391i | \(-0.588740\pi\) |
−0.923222 | + | 0.384267i | \(0.874454\pi\) | |||||||
\(740\) | 3.52199 | + | 3.26793i | 0.129471 | + | 0.120131i | ||||
\(741\) | 0.181572 | + | 0.123794i | 0.00667021 | + | 0.00454767i | ||||
\(742\) | −0.00191796 | + | 0.00840315i | −7.04106e−5 | + | 0.000308489i | ||||
\(743\) | −31.6141 | − | 4.76505i | −1.15981 | − | 0.174813i | −0.459182 | − | 0.888342i | \(-0.651857\pi\) |
−0.700625 | + | 0.713529i | \(0.747095\pi\) | |||||||
\(744\) | 6.79777 | − | 4.63464i | 0.249218 | − | 0.169914i | ||||
\(745\) | 4.72591 | + | 12.0414i | 0.173144 | + | 0.441164i | ||||
\(746\) | −6.74741 | − | 2.08130i | −0.247040 | − | 0.0762018i | ||||
\(747\) | −4.32942 | + | 2.08494i | −0.158405 | + | 0.0762838i | ||||
\(748\) | 1.70725 | − | 22.7817i | 0.0624234 | − | 0.832982i | ||||
\(749\) | 1.01352 | − | 0.152764i | 0.0370334 | − | 0.00558188i | ||||
\(750\) | 0.796253 | − | 0.738815i | 0.0290750 | − | 0.0269777i | ||||
\(751\) | −7.18308 | + | 2.21569i | −0.262114 | + | 0.0808516i | −0.423027 | − | 0.906117i | \(-0.639032\pi\) |
0.160913 | + | 0.986969i | \(0.448556\pi\) | |||||||
\(752\) | −2.39972 | − | 3.00916i | −0.0875090 | − | 0.109733i | ||||
\(753\) | −5.35656 | − | 6.71691i | −0.195204 | − | 0.244778i | ||||
\(754\) | 2.89513 | − | 0.893028i | 0.105434 | − | 0.0325222i | ||||
\(755\) | −9.46756 | + | 8.78461i | −0.344560 | + | 0.319705i | ||||
\(756\) | −2.31223 | + | 0.348512i | −0.0840949 | + | 0.0126753i | ||||
\(757\) | 2.12327 | − | 28.3330i | 0.0771715 | − | 1.02978i | −0.815406 | − | 0.578889i | \(-0.803486\pi\) |
0.892578 | − | 0.450893i | \(-0.148894\pi\) | |||||||
\(758\) | −1.60058 | + | 0.770798i | −0.0581356 | + | 0.0279966i | ||||
\(759\) | −44.0816 | − | 13.5974i | −1.60006 | − | 0.493553i | ||||
\(760\) | −0.163413 | − | 0.416368i | −0.00592760 | − | 0.0151033i | ||||
\(761\) | −32.2334 | + | 21.9763i | −1.16846 | + | 0.796642i | −0.982563 | − | 0.185928i | \(-0.940471\pi\) |
−0.185895 | + | 0.982570i | \(0.559519\pi\) | |||||||
\(762\) | 12.3967 | + | 1.86850i | 0.449085 | + | 0.0676886i | ||||
\(763\) | −0.417272 | + | 1.82819i | −0.0151063 | + | 0.0661849i | ||||
\(764\) | 14.3435 | + | 9.77921i | 0.518929 | + | 0.353800i | ||||
\(765\) | −5.28805 | − | 4.90659i | −0.191190 | − | 0.177398i | ||||
\(766\) | 8.97974 | + | 4.32442i | 0.324451 | + | 0.156247i | ||||
\(767\) | −1.91084 | + | 3.30968i | −0.0689966 | + | 0.119506i | ||||
\(768\) | −0.543108 | − | 0.940691i | −0.0195977 | − | 0.0339443i | ||||
\(769\) | 0.0822439 | + | 1.09747i | 0.00296579 | + | 0.0395757i | 0.998490 | − | 0.0549275i | \(-0.0174928\pi\) |
−0.995525 | + | 0.0945032i | \(0.969874\pi\) | |||||||
\(770\) | 0.572862 | + | 2.50987i | 0.0206445 | + | 0.0904495i | ||||
\(771\) | −3.46094 | + | 8.81833i | −0.124643 | + | 0.317584i | ||||
\(772\) | −0.456601 | + | 0.572560i | −0.0164334 | + | 0.0206069i | ||||
\(773\) | 16.7629 | 0.602918 | 0.301459 | − | 0.953479i | \(-0.402526\pi\) | ||||
0.301459 | + | 0.953479i | \(0.402526\pi\) | |||||||
\(774\) | 11.4517 | + | 3.36355i | 0.411622 | + | 0.120900i | ||||
\(775\) | −7.57433 | −0.272078 | ||||||||
\(776\) | −11.2703 | + | 14.1325i | −0.404579 | + | 0.507327i | ||||
\(777\) | 0.851533 | − | 2.16967i | 0.0305486 | − | 0.0778365i | ||||
\(778\) | 0.370319 | + | 1.62247i | 0.0132766 | + | 0.0581685i | ||||
\(779\) | 0.324572 | + | 4.33111i | 0.0116290 | + | 0.155178i | ||||
\(780\) | −0.245655 | − | 0.425487i | −0.00879587 | − | 0.0152349i | ||||
\(781\) | −29.6249 | + | 51.3118i | −1.06006 | + | 1.83608i | ||||
\(782\) | −26.3086 | − | 12.6696i | −0.940795 | − | 0.453063i | ||||
\(783\) | −25.7083 | − | 23.8539i | −0.918741 | − | 0.852467i | ||||
\(784\) | −5.61887 | − | 3.83088i | −0.200674 | − | 0.136817i | ||||
\(785\) | 0.657202 | − | 2.87939i | 0.0234565 | − | 0.102770i | ||||
\(786\) | −6.86211 | − | 1.03430i | −0.244763 | − | 0.0368921i | ||||
\(787\) | 2.29918 | − | 1.56755i | 0.0819569 | − | 0.0558773i | −0.521648 | − | 0.853161i | \(-0.674683\pi\) |
0.603605 | + | 0.797283i | \(0.293730\pi\) | |||||||
\(788\) | −5.77138 | − | 14.7052i | −0.205597 | − | 0.523853i | ||||
\(789\) | −2.80357 | − | 0.864787i | −0.0998098 | − | 0.0307872i | ||||
\(790\) | −10.0579 | + | 4.84364i | −0.357844 | + | 0.172329i | ||||
\(791\) | −0.0105179 | + | 0.140352i | −0.000373975 | + | 0.00499035i | ||||
\(792\) | 10.3746 | − | 1.56372i | 0.368645 | − | 0.0555643i | ||||
\(793\) | −1.01920 | + | 0.945677i | −0.0361928 | + | 0.0335820i | ||||
\(794\) | 18.4286 | − | 5.68447i | 0.654006 | − | 0.201734i | ||||
\(795\) | 0.0130702 | + | 0.0163895i | 0.000463552 | + | 0.000581275i | ||||
\(796\) | −15.3595 | − | 19.2602i | −0.544404 | − | 0.682661i | ||||
\(797\) | 39.2915 | − | 12.1198i | 1.39178 | − | 0.429306i | 0.493887 | − | 0.869526i | \(-0.335576\pi\) |
0.897890 | + | 0.440220i | \(0.145099\pi\) | |||||||
\(798\) | −0.159064 | + | 0.147590i | −0.00563080 | + | 0.00522462i | ||||
\(799\) | −15.0838 | + | 2.27352i | −0.533627 | + | 0.0804313i | ||||
\(800\) | −0.0747301 | + | 0.997204i | −0.00264211 | + | 0.0352565i | ||||
\(801\) | 16.1593 | − | 7.78190i | 0.570960 | − | 0.274960i | ||||
\(802\) | −17.1971 | − | 5.30462i | −0.607252 | − | 0.187312i | ||||
\(803\) | 20.4148 | + | 52.0160i | 0.720422 | + | 1.83560i | ||||
\(804\) | 12.1866 | − | 8.30866i | 0.429787 | − | 0.293024i | ||||
\(805\) | 3.25377 | + | 0.490427i | 0.114680 | + | 0.0172853i | ||||
\(806\) | −0.762351 | + | 3.34008i | −0.0268527 | + | 0.117649i | ||||
\(807\) | 7.77205 | + | 5.29890i | 0.273589 | + | 0.186530i | ||||
\(808\) | −13.6501 | − | 12.6655i | −0.480210 | − | 0.445570i | ||||
\(809\) | 21.3165 | + | 10.2655i | 0.749448 | + | 0.360915i | 0.769300 | − | 0.638888i | \(-0.220605\pi\) |
−0.0198522 | + | 0.999803i | \(0.506320\pi\) | |||||||
\(810\) | −0.113353 | + | 0.196333i | −0.00398282 | + | 0.00689844i | ||||
\(811\) | −1.18563 | − | 2.05358i | −0.0416332 | − | 0.0721108i | 0.844458 | − | 0.535622i | \(-0.179923\pi\) |
−0.886091 | + | 0.463511i | \(0.846589\pi\) | |||||||
\(812\) | 0.223559 | + | 2.98319i | 0.00784540 | + | 0.104690i | ||||
\(813\) | 6.00511 | + | 26.3101i | 0.210608 | + | 0.922735i | ||||
\(814\) | −10.1181 | + | 25.7804i | −0.354638 | + | 0.903603i | ||||
\(815\) | 11.4994 | − | 14.4198i | 0.402805 | − | 0.505102i | ||||
\(816\) | −4.30500 | −0.150705 | ||||||||
\(817\) | 2.79081 | − | 0.902339i | 0.0976382 | − | 0.0315688i | ||||
\(818\) | −34.1667 | −1.19461 | ||||||||
\(819\) | 0.229248 | − | 0.287468i | 0.00801058 | − | 0.0100449i | ||||
\(820\) | 3.54753 | − | 9.03897i | 0.123885 | − | 0.315655i | ||||
\(821\) | −3.35437 | − | 14.6965i | −0.117068 | − | 0.512910i | −0.999127 | − | 0.0417709i | \(-0.986700\pi\) |
0.882059 | − | 0.471139i | \(-0.156157\pi\) | |||||||
\(822\) | −1.34624 | − | 17.9644i | −0.0469556 | − | 0.626579i | ||||
\(823\) | 3.90914 | + | 6.77084i | 0.136264 | + | 0.236017i | 0.926080 | − | 0.377328i | \(-0.123157\pi\) |
−0.789815 | + | 0.613345i | \(0.789824\pi\) | |||||||
\(824\) | −4.04766 | + | 7.01075i | −0.141007 | + | 0.244231i | ||||
\(825\) | 5.64120 | + | 2.71666i | 0.196401 | + | 0.0945820i | ||||
\(826\) | −2.76620 | − | 2.56666i | −0.0962484 | − | 0.0893055i | ||||
\(827\) | −28.8253 | − | 19.6528i | −1.00236 | − | 0.683394i | −0.0533246 | − | 0.998577i | \(-0.516982\pi\) |
−0.949031 | + | 0.315183i | \(0.897934\pi\) | |||||||
\(828\) | 2.98405 | − | 13.0740i | 0.103703 | − | 0.454352i | ||||
\(829\) | 28.8740 | + | 4.35206i | 1.00284 | + | 0.151153i | 0.629878 | − | 0.776694i | \(-0.283105\pi\) |
0.372959 | + | 0.927848i | \(0.378343\pi\) | |||||||
\(830\) | 2.18133 | − | 1.48721i | 0.0757151 | − | 0.0516217i | ||||
\(831\) | 11.4532 | + | 29.1822i | 0.397306 | + | 1.01232i | ||||
\(832\) | 0.432219 | + | 0.133322i | 0.0149845 | + | 0.00462210i | ||||
\(833\) | −24.2834 | + | 11.6943i | −0.841371 | + | 0.405183i | ||||
\(834\) | −0.385910 | + | 5.14961i | −0.0133630 | + | 0.178317i | ||||
\(835\) | −6.10085 | + | 0.919555i | −0.211129 | + | 0.0318225i | ||||
\(836\) | 1.89002 | − | 1.75369i | 0.0653679 | − | 0.0606525i | ||||
\(837\) | 37.8952 | − | 11.6891i | 1.30985 | − | 0.404035i | ||||
\(838\) | −16.5169 | − | 20.7115i | −0.570565 | − | 0.715466i | ||||
\(839\) | 7.91894 | + | 9.93004i | 0.273392 | + | 0.342823i | 0.899506 | − | 0.436909i | \(-0.143927\pi\) |
−0.626114 | + | 0.779732i | \(0.715355\pi\) | |||||||
\(840\) | 0.463568 | − | 0.142992i | 0.0159946 | − | 0.00493368i | ||||
\(841\) | −11.6314 | + | 10.7924i | −0.401083 | + | 0.372151i | ||||
\(842\) | 30.4439 | − | 4.58868i | 1.04917 | − | 0.158136i | ||||
\(843\) | 0.369587 | − | 4.93179i | 0.0127292 | − | 0.169860i | ||||
\(844\) | 3.35603 | − | 1.61618i | 0.115519 | − | 0.0556313i | ||||
\(845\) | −12.2269 | − | 3.77151i | −0.420620 | − | 0.129744i | ||||
\(846\) | −2.55938 | − | 6.52118i | −0.0879931 | − | 0.224203i | ||||
\(847\) | −8.20201 | + | 5.59203i | −0.281824 | + | 0.192145i | ||||
\(848\) | −0.0190835 | − | 0.00287637i | −0.000655330 | − | 9.87751e-5i | ||||
\(849\) | 4.45998 | − | 19.5405i | 0.153066 | − | 0.670627i | ||||
\(850\) | 3.27463 | + | 2.23261i | 0.112319 | + | 0.0765778i | ||||
\(851\) | 25.9489 | + | 24.0771i | 0.889518 | + | 0.825352i | ||||
\(852\) | 10.0593 | + | 4.84429i | 0.344625 | + | 0.165963i | ||||
\(853\) | 16.9798 | − | 29.4098i | 0.581377 | − | 1.00697i | −0.413940 | − | 0.910304i | \(-0.635848\pi\) |
0.995317 | − | 0.0966696i | \(-0.0308190\pi\) | |||||||
\(854\) | −0.686416 | − | 1.18891i | −0.0234887 | − | 0.0406836i | ||||
\(855\) | −0.0608396 | − | 0.811848i | −0.00208067 | − | 0.0277646i | ||||
\(856\) | 0.510681 | + | 2.23744i | 0.0174547 | + | 0.0764741i | ||||
\(857\) | −9.46350 | + | 24.1126i | −0.323267 | + | 0.823671i | 0.673182 | + | 0.739477i | \(0.264927\pi\) |
−0.996449 | + | 0.0841946i | \(0.973168\pi\) | |||||||
\(858\) | 1.76576 | − | 2.21419i | 0.0602820 | − | 0.0755912i | ||||
\(859\) | −18.7596 | −0.640071 | −0.320035 | − | 0.947406i | \(-0.603695\pi\) | ||||
−0.320035 | + | 0.947406i | \(0.603695\pi\) | |||||||
\(860\) | −6.49681 | − | 0.889605i | −0.221540 | − | 0.0303353i | ||||
\(861\) | −4.71062 | −0.160537 | ||||||||
\(862\) | −21.3900 | + | 26.8222i | −0.728546 | + | 0.913568i | ||||
\(863\) | −12.9016 | + | 32.8727i | −0.439174 | + | 1.11900i | 0.524380 | + | 0.851485i | \(0.324297\pi\) |
−0.963554 | + | 0.267514i | \(0.913798\pi\) | |||||||
\(864\) | −1.16505 | − | 5.10444i | −0.0396360 | − | 0.173656i | ||||
\(865\) | 0.416184 | + | 5.55359i | 0.0141507 | + | 0.188828i | ||||
\(866\) | 2.06701 | + | 3.58016i | 0.0702397 | + | 0.121659i | ||||
\(867\) | 0.701831 | − | 1.21561i | 0.0238354 | − | 0.0412842i | ||||
\(868\) | −3.04781 | − | 1.46775i | −0.103449 | − | 0.0498186i | ||||
\(869\) | −47.1714 | − | 43.7686i | −1.60018 | − | 1.48475i | ||||
\(870\) | 6.01154 | + | 4.09860i | 0.203810 | + | 0.138956i | ||||
\(871\) | −1.36669 | + | 5.98786i | −0.0463085 | + | 0.202891i | ||||
\(872\) | −4.15181 | − | 0.625785i | −0.140598 | − | 0.0211917i | ||||
\(873\) | −27.1841 | + | 18.5338i | −0.920041 | + | 0.627273i | ||||
\(874\) | −1.20397 | − | 3.06767i | −0.0407250 | − | 0.103766i | ||||
\(875\) | −0.426773 | − | 0.131642i | −0.0144276 | − | 0.00445032i | ||||
\(876\) | 9.48694 | − | 4.56867i | 0.320534 | − | 0.154361i | ||||
\(877\) | −2.94890 | + | 39.3503i | −0.0995772 | + | 1.32877i | 0.693859 | + | 0.720111i | \(0.255909\pi\) |
−0.793436 | + | 0.608654i | \(0.791710\pi\) | |||||||
\(878\) | 20.5704 | − | 3.10049i | 0.694218 | − | 0.104637i | ||||
\(879\) | −7.48629 | + | 6.94626i | −0.252506 | + | 0.234292i | ||||
\(880\) | −5.50820 | + | 1.69905i | −0.185681 | + | 0.0572751i | ||||
\(881\) | −6.51338 | − | 8.16752i | −0.219441 | − | 0.275171i | 0.659910 | − | 0.751345i | \(-0.270595\pi\) |
−0.879351 | + | 0.476174i | \(0.842023\pi\) | |||||||
\(882\) | −7.71749 | − | 9.67742i | −0.259861 | − | 0.325856i | ||||
\(883\) | 44.4677 | − | 13.7165i | 1.49646 | − | 0.461596i | 0.564891 | − | 0.825166i | \(-0.308918\pi\) |
0.931567 | + | 0.363570i | \(0.118442\pi\) | |||||||
\(884\) | 1.31411 | − | 1.21931i | 0.0441983 | − | 0.0410100i | ||||
\(885\) | −9.07515 | + | 1.36786i | −0.305058 | + | 0.0459801i | ||||
\(886\) | −1.13011 | + | 15.0803i | −0.0379669 | + | 0.506633i | ||||
\(887\) | −33.0957 | + | 15.9380i | −1.11124 | + | 0.535147i | −0.897177 | − | 0.441672i | \(-0.854386\pi\) |
−0.214068 | + | 0.976819i | \(0.568671\pi\) | |||||||
\(888\) | 4.98693 | + | 1.53826i | 0.167350 | + | 0.0516208i | ||||
\(889\) | −1.88321 | − | 4.79835i | −0.0631609 | − | 0.160931i | ||||
\(890\) | −8.14169 | + | 5.55091i | −0.272910 | + | 0.186067i | ||||
\(891\) | −1.29220 | − | 0.194768i | −0.0432904 | − | 0.00652498i | ||||
\(892\) | 0.242530 | − | 1.06259i | 0.00812049 | − | 0.0355782i | ||||
\(893\) | −1.42241 | − | 0.969783i | −0.0475991 | − | 0.0324525i | ||||
\(894\) | 10.3000 | + | 9.55702i | 0.344484 | + | 0.319635i | ||||
\(895\) | −14.3509 | − | 6.91105i | −0.479699 | − | 0.231011i | ||||
\(896\) | −0.223308 | + | 0.386780i | −0.00746018 | + | 0.0129214i | ||||
\(897\) | −1.80991 | − | 3.13486i | −0.0604312 | − | 0.104670i | ||||
\(898\) | −2.78650 | − | 37.1832i | −0.0929867 | − | 1.24082i | ||||
\(899\) | −11.2896 | − | 49.4631i | −0.376530 | − | 1.64969i | ||||
\(900\) | −0.664970 | + | 1.69432i | −0.0221657 | + | 0.0564772i | ||||
\(901\) | −0.0476895 | + | 0.0598007i | −0.00158877 | + | 0.00199225i | ||||
\(902\) | 55.9724 | 1.86368 | ||||||||
\(903\) | 0.749726 | + | 3.09154i | 0.0249493 | + | 0.102880i | ||||
\(904\) | −0.315139 | −0.0104814 | ||||||||
\(905\) | −6.62373 | + | 8.30589i | −0.220180 | + | 0.276097i | ||||
\(906\) | −5.12528 | + | 13.0590i | −0.170276 | + | 0.433856i | ||||
\(907\) | 6.24141 | + | 27.3454i | 0.207242 | + | 0.907989i | 0.966392 | + | 0.257073i | \(0.0827579\pi\) |
−0.759150 | + | 0.650916i | \(0.774385\pi\) | |||||||
\(908\) | −0.806699 | − | 10.7646i | −0.0267712 | − | 0.357237i | ||||
\(909\) | −16.9463 | − | 29.3519i | −0.562074 | − | 0.973541i | ||||
\(910\) | −0.101005 | + | 0.174946i | −0.00334828 | + | 0.00579940i | ||||
\(911\) | −48.8571 | − | 23.5283i | −1.61871 | − | 0.779529i | −0.618727 | − | 0.785606i | \(-0.712351\pi\) |
−0.999982 | + | 0.00607754i | \(0.998065\pi\) | |||||||
\(912\) | −0.356154 | − | 0.330463i | −0.0117934 | − | 0.0109427i | ||||
\(913\) | 12.5738 | + | 8.57269i | 0.416133 | + | 0.283714i | ||||
\(914\) | −1.65962 | + | 7.27128i | −0.0548954 | + | 0.240512i | ||||
\(915\) | −3.30158 | − | 0.497634i | −0.109147 | − | 0.0164513i | ||||
\(916\) | −3.28105 | + | 2.23698i | −0.108409 | + | 0.0739120i | ||||
\(917\) | 1.04244 | + | 2.65610i | 0.0344244 | + | 0.0877120i | ||||
\(918\) | −19.8288 | − | 6.11637i | −0.654448 | − | 0.201870i | ||||
\(919\) | 17.7046 | − | 8.52609i | 0.584021 | − | 0.281250i | −0.118452 | − | 0.992960i | \(-0.537793\pi\) |
0.702473 | + | 0.711710i | \(0.252079\pi\) | |||||||
\(920\) | −0.550588 | + | 7.34709i | −0.0181524 | + | 0.242226i | ||||
\(921\) | −23.0056 | + | 3.46754i | −0.758061 | + | 0.114259i | ||||
\(922\) | −26.8561 | + | 24.9188i | −0.884458 | + | 0.820657i | ||||
\(923\) | −4.44267 | + | 1.37038i | −0.146232 | + | 0.0451067i | ||||
\(924\) | 1.74351 | + | 2.18629i | 0.0573573 | + | 0.0719238i | ||||
\(925\) | −2.99559 | − | 3.75635i | −0.0984945 | − | 0.123508i | ||||
\(926\) | 10.9032 | − | 3.36318i | 0.358300 | − | 0.110521i | ||||
\(927\) | −10.8012 | + | 10.0220i | −0.354758 | + | 0.329167i | ||||
\(928\) | −6.62348 | + | 0.998328i | −0.217426 | + | 0.0327717i | ||||
\(929\) | 0.437246 | − | 5.83464i | 0.0143456 | − | 0.191428i | −0.985427 | − | 0.170099i | \(-0.945591\pi\) |
0.999773 | − | 0.0213291i | \(-0.00678979\pi\) | |||||||
\(930\) | −7.41260 | + | 3.56972i | −0.243069 | + | 0.117056i | ||||
\(931\) | −2.90666 | − | 0.896585i | −0.0952619 | − | 0.0293844i | ||||
\(932\) | 3.02393 | + | 7.70485i | 0.0990521 | + | 0.252381i | ||||
\(933\) | −8.22860 | + | 5.61017i | −0.269392 | + | 0.183669i | ||||
\(934\) | 17.2018 | + | 2.59275i | 0.562860 | + | 0.0848375i | ||||
\(935\) | −5.08363 | + | 22.2728i | −0.166252 | + | 0.728399i | ||||
\(936\) | 0.680219 | + | 0.463765i | 0.0222337 | + | 0.0151586i | ||||
\(937\) | 7.53359 | + | 6.99015i | 0.246112 | + | 0.228358i | 0.793577 | − | 0.608470i | \(-0.208217\pi\) |
−0.547465 | + | 0.836829i | \(0.684407\pi\) | |||||||
\(938\) | −5.46390 | − | 2.63128i | −0.178403 | − | 0.0859142i | ||||
\(939\) | 9.03969 | − | 15.6572i | 0.294999 | − | 0.510954i | ||||
\(940\) | 1.92443 | + | 3.33321i | 0.0627680 | + | 0.108717i | ||||
\(941\) | −2.85891 | − | 38.1496i | −0.0931979 | − | 1.24364i | −0.826186 | − | 0.563398i | \(-0.809494\pi\) |
0.732988 | − | 0.680242i | \(-0.238125\pi\) | |||||||
\(942\) | −0.713863 | − | 3.12764i | −0.0232589 | − | 0.101904i | ||||
\(943\) | 26.1371 | − | 66.5964i | 0.851142 | − | 2.16868i | ||||
\(944\) | 5.26799 | − | 6.60585i | 0.171458 | − | 0.215002i | ||||
\(945\) | 2.33835 | 0.0760664 | ||||||||
\(946\) | −8.90838 | − | 36.7342i | −0.289636 | − | 1.19433i | ||||
\(947\) | −9.13168 | −0.296740 | −0.148370 | − | 0.988932i | \(-0.547403\pi\) | ||||
−0.148370 | + | 0.988932i | \(0.547403\pi\) | |||||||
\(948\) | −7.56038 | + | 9.48042i | −0.245550 | + | 0.307910i | ||||
\(949\) | −1.60191 | + | 4.08160i | −0.0520002 | + | 0.132494i | ||||
\(950\) | 0.0995309 | + | 0.436073i | 0.00322921 | + | 0.0141481i | ||||
\(951\) | 0.239816 | + | 3.20012i | 0.00777657 | + | 0.103771i | ||||
\(952\) | 0.885035 | + | 1.53293i | 0.0286841 | + | 0.0496824i | ||||
\(953\) | −13.5543 | + | 23.4767i | −0.439066 | + | 0.760484i | −0.997618 | − | 0.0689853i | \(-0.978024\pi\) |
0.558552 | + | 0.829470i | \(0.311357\pi\) | |||||||
\(954\) | −0.0316482 | − | 0.0152410i | −0.00102465 | − | 0.000493445i | ||||
\(955\) | −12.7258 | − | 11.8078i | −0.411796 | − | 0.382091i | ||||
\(956\) | −14.1515 | − | 9.64834i | −0.457693 | − | 0.312050i | ||||
\(957\) | −9.33247 | + | 40.8882i | −0.301676 | + | 1.32173i | ||||
\(958\) | 24.8577 | + | 3.74669i | 0.803116 | + | 0.121050i | ||||
\(959\) | −6.11999 | + | 4.17254i | −0.197625 | + | 0.134738i | ||||
\(960\) | 0.396839 | + | 1.01113i | 0.0128079 | + | 0.0326341i | ||||
\(961\) | 25.1990 | + | 7.77285i | 0.812870 | + | 0.250737i | ||||
\(962\) | −1.95796 | + | 0.942902i | −0.0631270 | + | 0.0304004i | ||||
\(963\) | −0.312160 | + | 4.16549i | −0.0100592 | + | 0.134231i | ||||
\(964\) | −11.4976 | + | 1.73299i | −0.370313 | + | 0.0558157i | ||||
\(965\) | 0.536837 | − | 0.498112i | 0.0172814 | − | 0.0160348i | ||||
\(966\) | 3.41543 | − | 1.05352i | 0.109890 | − | 0.0338964i | ||||
\(967\) | −30.3197 | − | 38.0196i | −0.975014 | − | 1.22263i | −0.974903 | − | 0.222629i | \(-0.928536\pi\) |
−0.000111301 | − | 1.00000i | \(-0.500035\pi\) | |||||||
\(968\) | −13.8583 | − | 17.3778i | −0.445423 | − | 0.558543i | ||||
\(969\) | −1.84003 | + | 0.567573i | −0.0591102 | + | 0.0182331i | ||||
\(970\) | 13.2507 | − | 12.2949i | 0.425455 | − | 0.394765i | ||||
\(971\) | 31.0807 | − | 4.68466i | 0.997427 | − | 0.150338i | 0.370015 | − | 0.929026i | \(-0.379352\pi\) |
0.627412 | + | 0.778688i | \(0.284114\pi\) | |||||||
\(972\) | 1.15539 | − | 15.4176i | 0.0370592 | − | 0.494521i | ||||
\(973\) | 1.91301 | − | 0.921258i | 0.0613283 | − | 0.0295342i | ||||
\(974\) | 27.6820 | + | 8.53877i | 0.886989 | + | 0.273600i | ||||
\(975\) | 0.179496 | + | 0.457348i | 0.00574847 | + | 0.0146469i | ||||
\(976\) | 2.53974 | − | 1.73157i | 0.0812952 | − | 0.0554261i | ||||
\(977\) | −45.5712 | − | 6.86875i | −1.45795 | − | 0.219751i | −0.628273 | − | 0.777993i | \(-0.716238\pi\) |
−0.829678 | + | 0.558242i | \(0.811476\pi\) | |||||||
\(978\) | 4.45792 | − | 19.5314i | 0.142548 | − | 0.624545i | ||||
\(979\) | −46.9310 | − | 31.9970i | −1.49992 | − | 1.02263i | ||||
\(980\) | 4.98514 | + | 4.62554i | 0.159245 | + | 0.147757i | ||||
\(981\) | −6.88539 | − | 3.31583i | −0.219834 | − | 0.105866i | ||||
\(982\) | 3.92771 | − | 6.80299i | 0.125338 | − | 0.217092i | ||||
\(983\) | −6.92263 | − | 11.9903i | −0.220798 | − | 0.382433i | 0.734253 | − | 0.678876i | \(-0.237533\pi\) |
−0.955050 | + | 0.296444i | \(0.904199\pi\) | |||||||
\(984\) | −0.788206 | − | 10.5179i | −0.0251271 | − | 0.335298i | ||||
\(985\) | 3.51522 | + | 15.4012i | 0.112004 | + | 0.490722i | ||||
\(986\) | −9.69883 | + | 24.7122i | −0.308874 | + | 0.786997i | ||||
\(987\) | 1.16416 | − | 1.45980i | 0.0370555 | − | 0.0464661i | ||||
\(988\) | 0.202314 | 0.00643648 | ||||||||
\(989\) | −47.8665 | − | 6.55434i | −1.52207 | − | 0.208416i | ||||
\(990\) | −10.4918 | −0.333451 | ||||||||
\(991\) | 3.11757 | − | 3.90931i | 0.0990328 | − | 0.124183i | −0.729846 | − | 0.683612i | \(-0.760408\pi\) |
0.828878 | + | 0.559429i | \(0.188979\pi\) | |||||||
\(992\) | 2.76722 | − | 7.05075i | 0.0878592 | − | 0.223862i | ||||
\(993\) | 6.35310 | + | 27.8348i | 0.201610 | + | 0.883309i | ||||
\(994\) | −0.343060 | − | 4.57781i | −0.0108812 | − | 0.145199i | ||||
\(995\) | 12.3174 | + | 21.3343i | 0.390487 | + | 0.676344i | ||||
\(996\) | 1.43384 | − | 2.48349i | 0.0454331 | − | 0.0786925i | ||||
\(997\) | 36.1079 | + | 17.3887i | 1.14355 | + | 0.550705i | 0.907090 | − | 0.420937i | \(-0.138299\pi\) |
0.236460 | + | 0.971641i | \(0.424013\pi\) | |||||||
\(998\) | −4.27702 | − | 3.96850i | −0.135387 | − | 0.125621i | ||||
\(999\) | 20.7842 | + | 14.1705i | 0.657585 | + | 0.448334i |
(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 | 430.2.q.c.101.3 | ✓ | 48 | |
43.23 | even | 21 | inner | 430.2.q.c.281.3 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.q.c.101.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
430.2.q.c.281.3 | yes | 48 | 43.23 | even | 21 | inner |