Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(701,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.701");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.bu (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 701.5 | ||
Character | \(\chi\) | \(=\) | 1386.701 |
Dual form | 1386.2.bu.b.953.5 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −0.943712 | + | 1.29891i | −0.422041 | + | 0.580889i | −0.966103 | − | 0.258155i | \(-0.916885\pi\) |
0.544063 | + | 0.839045i | \(0.316885\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.951057 | − | 0.309017i | −0.359466 | − | 0.116797i | ||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.60554i | 0.507716i | ||||||||
\(11\) | −1.01598 | + | 3.15718i | −0.306329 | + | 0.951926i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.22145 | − | 1.68118i | −0.338768 | − | 0.466275i | 0.605313 | − | 0.795988i | \(-0.293048\pi\) |
−0.944081 | + | 0.329713i | \(0.893048\pi\) | |||||||
\(14\) | −0.951057 | + | 0.309017i | −0.254181 | + | 0.0825883i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 4.11180 | + | 2.98740i | 0.997257 | + | 0.724550i | 0.961498 | − | 0.274811i | \(-0.0886151\pi\) |
0.0357590 | + | 0.999360i | \(0.488615\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.93138 | + | 2.25214i | −1.59017 | + | 0.516677i | −0.964650 | − | 0.263534i | \(-0.915112\pi\) |
−0.625517 | + | 0.780211i | \(0.715112\pi\) | |||||||
\(20\) | 0.943712 | + | 1.29891i | 0.211020 | + | 0.290445i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.03380 | + | 3.15139i | 0.220407 | + | 0.671879i | ||||
\(23\) | − | 0.571166i | − | 0.119096i | −0.998225 | − | 0.0595482i | \(-0.981034\pi\) | ||
0.998225 | − | 0.0595482i | \(-0.0189660\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.748515 | + | 2.30369i | 0.149703 | + | 0.460739i | ||||
\(26\) | −1.97634 | − | 0.642153i | −0.387593 | − | 0.125936i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.587785 | + | 0.809017i | −0.111081 | + | 0.152890i | ||||
\(29\) | −0.282021 | + | 0.867972i | −0.0523700 | + | 0.161178i | −0.973821 | − | 0.227316i | \(-0.927005\pi\) |
0.921451 | + | 0.388495i | \(0.127005\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.53777 | + | 4.02343i | −0.994613 | + | 0.722629i | −0.960926 | − | 0.276804i | \(-0.910725\pi\) |
−0.0336866 | + | 0.999432i | \(0.510725\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.08246 | 0.871635 | ||||||||
\(35\) | 1.29891 | − | 0.943712i | 0.219556 | − | 0.159516i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0690715 | + | 0.212580i | −0.0113553 | + | 0.0349480i | −0.956574 | − | 0.291491i | \(-0.905849\pi\) |
0.945218 | + | 0.326439i | \(0.105849\pi\) | |||||||
\(38\) | −4.28383 | + | 5.89618i | −0.694928 | + | 0.956487i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.52696 | + | 0.496139i | 0.241433 | + | 0.0784464i | ||||
\(41\) | 0.429183 | + | 1.32089i | 0.0670272 | + | 0.206288i | 0.978960 | − | 0.204050i | \(-0.0654106\pi\) |
−0.911933 | + | 0.410338i | \(0.865411\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.30788i | 1.11444i | 0.830365 | + | 0.557221i | \(0.188132\pi\) | ||||
−0.830365 | + | 0.557221i | \(0.811868\pi\) | |||||||
\(44\) | 2.68870 | + | 1.94188i | 0.405337 | + | 0.292749i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.335723 | − | 0.462083i | −0.0494997 | − | 0.0681304i | ||||
\(47\) | −2.53888 | + | 0.824934i | −0.370334 | + | 0.120329i | −0.488271 | − | 0.872692i | \(-0.662372\pi\) |
0.117936 | + | 0.993021i | \(0.462372\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.809017 | + | 0.587785i | 0.115574 | + | 0.0839693i | ||||
\(50\) | 1.95964 | + | 1.42376i | 0.277135 | + | 0.201350i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.97634 | + | 0.642153i | −0.274069 | + | 0.0890505i | ||||
\(53\) | 1.49449 | + | 2.05698i | 0.205283 | + | 0.282548i | 0.899228 | − | 0.437480i | \(-0.144129\pi\) |
−0.693945 | + | 0.720028i | \(0.744129\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.14210 | − | 4.29913i | −0.423680 | − | 0.579695i | ||||
\(56\) | 1.00000i | 0.133631i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.282021 | + | 0.867972i | 0.0370312 | + | 0.113970i | ||||
\(59\) | 2.53310 | + | 0.823054i | 0.329781 | + | 0.107152i | 0.469228 | − | 0.883077i | \(-0.344532\pi\) |
−0.139446 | + | 0.990230i | \(0.544532\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.63195 | + | 6.37533i | −0.593060 | + | 0.816277i | −0.995051 | − | 0.0993663i | \(-0.968318\pi\) |
0.401991 | + | 0.915644i | \(0.368318\pi\) | |||||||
\(62\) | −2.11524 | + | 6.51004i | −0.268636 | + | 0.826776i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 3.33639 | 0.413828 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.07517 | 0.131353 | 0.0656765 | − | 0.997841i | \(-0.479079\pi\) | ||||
0.0656765 | + | 0.997841i | \(0.479079\pi\) | |||||||
\(68\) | 4.11180 | − | 2.98740i | 0.498629 | − | 0.362275i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.496139 | − | 1.52696i | 0.0592999 | − | 0.182506i | ||||
\(71\) | 1.60190 | − | 2.20483i | 0.190111 | − | 0.261665i | −0.703313 | − | 0.710881i | \(-0.748297\pi\) |
0.893423 | + | 0.449216i | \(0.148297\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.42993 | − | 2.73905i | −0.986649 | − | 0.320582i | −0.229131 | − | 0.973396i | \(-0.573588\pi\) |
−0.757518 | + | 0.652814i | \(0.773588\pi\) | |||||||
\(74\) | 0.0690715 | + | 0.212580i | 0.00802939 | + | 0.0247119i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.28808i | 0.836000i | ||||||||
\(77\) | 1.94188 | − | 2.68870i | 0.221297 | − | 0.306406i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.22498 | − | 1.68603i | −0.137820 | − | 0.189694i | 0.734528 | − | 0.678579i | \(-0.237404\pi\) |
−0.872348 | + | 0.488885i | \(0.837404\pi\) | |||||||
\(80\) | 1.52696 | − | 0.496139i | 0.170719 | − | 0.0554700i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.12362 | + | 0.816355i | 0.124083 | + | 0.0901513i | ||||
\(83\) | 2.76635 | + | 2.00987i | 0.303647 | + | 0.220612i | 0.729166 | − | 0.684337i | \(-0.239908\pi\) |
−0.425519 | + | 0.904950i | \(0.639908\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.76070 | + | 2.52161i | −0.841767 | + | 0.273507i | ||||
\(86\) | 4.29546 | + | 5.91220i | 0.463192 | + | 0.637529i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.31661 | − | 0.00936955i | 0.353552 | − | 0.000998797i | ||||
\(89\) | − | 1.76110i | − | 0.186676i | −0.995634 | − | 0.0933381i | \(-0.970246\pi\) | ||
0.995634 | − | 0.0933381i | \(-0.0297538\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.642153 | + | 1.97634i | 0.0673159 | + | 0.207177i | ||||
\(92\) | −0.543211 | − | 0.176500i | −0.0566337 | − | 0.0184014i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.56912 | + | 2.15970i | −0.161842 | + | 0.222756i | ||||
\(95\) | 3.61590 | − | 11.1286i | 0.370983 | − | 1.14177i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.45418 | − | 3.96269i | 0.553788 | − | 0.402350i | −0.275392 | − | 0.961332i | \(-0.588808\pi\) |
0.829180 | + | 0.558982i | \(0.188808\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.42225 | 0.242225 | ||||||||
\(101\) | −0.340172 | + | 0.247150i | −0.0338484 | + | 0.0245923i | −0.604581 | − | 0.796544i | \(-0.706659\pi\) |
0.570732 | + | 0.821136i | \(0.306659\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.44768 | + | 10.6109i | −0.339710 | + | 1.04552i | 0.624645 | + | 0.780909i | \(0.285244\pi\) |
−0.964355 | + | 0.264612i | \(0.914756\pi\) | |||||||
\(104\) | −1.22145 | + | 1.68118i | −0.119773 | + | 0.164853i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.41813 | + | 0.785698i | 0.234869 | + | 0.0763137i | ||||
\(107\) | 4.31669 | + | 13.2854i | 0.417310 | + | 1.28435i | 0.910169 | + | 0.414238i | \(0.135952\pi\) |
−0.492859 | + | 0.870109i | \(0.664048\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 13.6880i | − | 1.31108i | −0.755162 | − | 0.655538i | \(-0.772442\pi\) | ||
0.755162 | − | 0.655538i | \(-0.227558\pi\) | |||||||
\(110\) | −5.06897 | − | 1.63119i | −0.483308 | − | 0.155528i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.587785 | + | 0.809017i | 0.0555405 | + | 0.0764449i | ||||
\(113\) | 8.23239 | − | 2.67487i | 0.774438 | − | 0.251630i | 0.104974 | − | 0.994475i | \(-0.466524\pi\) |
0.669464 | + | 0.742845i | \(0.266524\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.741892 | + | 0.539016i | 0.0691818 | + | 0.0502635i | ||||
\(116\) | 0.738341 | + | 0.536436i | 0.0685532 | + | 0.0498068i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.53310 | − | 0.823054i | 0.233191 | − | 0.0757683i | ||||
\(119\) | −2.98740 | − | 4.11180i | −0.273854 | − | 0.376928i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.93558 | − | 6.41525i | −0.812325 | − | 0.583205i | ||||
\(122\) | 7.88034i | 0.713453i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.11524 | + | 6.51004i | 0.189954 | + | 0.584619i | ||||
\(125\) | −11.3335 | − | 3.68246i | −1.01370 | − | 0.329370i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.8611 | − | 14.9490i | 0.963764 | − | 1.32651i | 0.0186291 | − | 0.999826i | \(-0.494070\pi\) |
0.945135 | − | 0.326681i | \(-0.105930\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.69919 | − | 1.96108i | 0.236735 | − | 0.171998i | ||||
\(131\) | −4.71091 | −0.411594 | −0.205797 | − | 0.978595i | \(-0.565979\pi\) | ||||
−0.205797 | + | 0.978595i | \(0.565979\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.28808 | 0.631957 | ||||||||
\(134\) | 0.869831 | − | 0.631969i | 0.0751420 | − | 0.0545938i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.57057 | − | 4.83371i | 0.134675 | − | 0.414487i | ||||
\(137\) | −2.19929 | + | 3.02706i | −0.187898 | + | 0.258619i | −0.892565 | − | 0.450919i | \(-0.851096\pi\) |
0.704667 | + | 0.709538i | \(0.251096\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.9725 | − | 4.21504i | −1.10032 | − | 0.357515i | −0.298093 | − | 0.954537i | \(-0.596350\pi\) |
−0.802225 | + | 0.597022i | \(0.796350\pi\) | |||||||
\(140\) | −0.496139 | − | 1.52696i | −0.0419314 | − | 0.129051i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 2.72532i | − | 0.228703i | ||||||
\(143\) | 6.54874 | − | 2.14829i | 0.547633 | − | 0.179649i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.861269 | − | 1.18543i | −0.0715245 | − | 0.0984450i | ||||
\(146\) | −8.42993 | + | 2.73905i | −0.697666 | + | 0.226685i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.180831 | + | 0.131382i | 0.0148643 | + | 0.0107995i | ||||
\(149\) | 16.0965 | + | 11.6948i | 1.31868 | + | 0.958076i | 0.999948 | + | 0.0102304i | \(0.00325650\pi\) |
0.318731 | + | 0.947845i | \(0.396744\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −18.8190 | + | 6.11465i | −1.53146 | + | 0.497603i | −0.949006 | − | 0.315257i | \(-0.897909\pi\) |
−0.582459 | + | 0.812860i | \(0.697909\pi\) | |||||||
\(152\) | 4.28383 | + | 5.89618i | 0.347464 | + | 0.478243i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.00936955 | − | 3.31661i | −0.000755020 | − | 0.267260i | ||||
\(155\) | − | 10.9900i | − | 0.882739i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.62718 | − | 11.1633i | −0.289480 | − | 0.890929i | −0.985020 | − | 0.172441i | \(-0.944835\pi\) |
0.695539 | − | 0.718488i | \(-0.255165\pi\) | |||||||
\(158\) | −1.98205 | − | 0.644008i | −0.157684 | − | 0.0512345i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.943712 | − | 1.29891i | 0.0746070 | − | 0.102688i | ||||
\(161\) | −0.176500 | + | 0.543211i | −0.0139102 | + | 0.0428111i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.1028 | − | 8.79321i | 0.947966 | − | 0.688738i | −0.00235891 | − | 0.999997i | \(-0.500751\pi\) |
0.950325 | + | 0.311260i | \(0.100751\pi\) | |||||||
\(164\) | 1.38887 | 0.108452 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.41940 | 0.265397 | ||||||||
\(167\) | 7.01083 | − | 5.09367i | 0.542514 | − | 0.394160i | −0.282504 | − | 0.959266i | \(-0.591165\pi\) |
0.825018 | + | 0.565107i | \(0.191165\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.68280 | − | 8.25680i | 0.206369 | − | 0.635138i | ||||
\(170\) | −4.79638 | + | 6.60165i | −0.367865 | + | 0.506323i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.95021 | + | 2.25826i | 0.529948 | + | 0.172191i | ||||
\(173\) | 5.00409 | + | 15.4010i | 0.380454 | + | 1.17092i | 0.939725 | + | 0.341932i | \(0.111081\pi\) |
−0.559271 | + | 0.828985i | \(0.688919\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 2.42225i | − | 0.183105i | ||||||
\(176\) | 2.67769 | − | 1.95704i | 0.201838 | − | 0.147517i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.03515 | − | 1.42476i | −0.0775877 | − | 0.106790i | ||||
\(179\) | 15.1656 | − | 4.92761i | 1.13353 | − | 0.368307i | 0.318615 | − | 0.947884i | \(-0.396782\pi\) |
0.814917 | + | 0.579577i | \(0.196782\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.0502214 | + | 0.0364880i | 0.00373293 | + | 0.00271213i | 0.589650 | − | 0.807659i | \(-0.299266\pi\) |
−0.585917 | + | 0.810371i | \(0.699266\pi\) | |||||||
\(182\) | 1.68118 | + | 1.22145i | 0.124617 | + | 0.0905397i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.543211 | + | 0.176500i | −0.0400461 | + | 0.0130118i | ||||
\(185\) | −0.210938 | − | 0.290332i | −0.0155085 | − | 0.0213456i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.6092 | + | 9.94656i | −0.995207 | + | 0.727364i | ||||
\(188\) | 2.66954i | 0.194696i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.61590 | − | 11.1286i | −0.262325 | − | 0.807353i | ||||
\(191\) | −2.45043 | − | 0.796192i | −0.177307 | − | 0.0576105i | 0.219018 | − | 0.975721i | \(-0.429715\pi\) |
−0.396325 | + | 0.918110i | \(0.629715\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 11.9830 | − | 16.4931i | 0.862553 | − | 1.18720i | −0.118402 | − | 0.992966i | \(-0.537777\pi\) |
0.980955 | − | 0.194236i | \(-0.0622229\pi\) | |||||||
\(194\) | 2.08331 | − | 6.41177i | 0.149573 | − | 0.460338i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.809017 | − | 0.587785i | 0.0577869 | − | 0.0419847i | ||||
\(197\) | −21.5481 | −1.53524 | −0.767620 | − | 0.640905i | \(-0.778559\pi\) | ||||
−0.767620 | + | 0.640905i | \(0.778559\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.92565 | −0.349170 | −0.174585 | − | 0.984642i | \(-0.555858\pi\) | ||||
−0.174585 | + | 0.984642i | \(0.555858\pi\) | |||||||
\(200\) | 1.95964 | − | 1.42376i | 0.138567 | − | 0.100675i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.129934 | + | 0.399897i | −0.00914214 | + | 0.0281366i | ||||
\(203\) | 0.536436 | − | 0.738341i | 0.0376504 | − | 0.0518214i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.12074 | − | 0.689070i | −0.148119 | − | 0.0481267i | ||||
\(206\) | 3.44768 | + | 10.6109i | 0.240211 | + | 0.739295i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.07805i | 0.144087i | ||||||||
\(209\) | −0.0682860 | − | 24.1717i | −0.00472344 | − | 1.67199i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 15.7707 | + | 21.7065i | 1.08570 | + | 1.49434i | 0.853089 | + | 0.521765i | \(0.174726\pi\) |
0.232609 | + | 0.972570i | \(0.425274\pi\) | |||||||
\(212\) | 2.41813 | − | 0.785698i | 0.166078 | − | 0.0539619i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 11.3012 | + | 8.21082i | 0.772536 | + | 0.561280i | ||||
\(215\) | −9.49226 | − | 6.89653i | −0.647367 | − | 0.470340i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.51004 | − | 2.11524i | 0.441930 | − | 0.143592i | ||||
\(218\) | −8.04563 | − | 11.0739i | −0.544919 | − | 0.750017i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.05968 | + | 1.65981i | −0.341123 | + | 0.111904i | ||||
\(221\) | − | 10.5616i | − | 0.710451i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.36723 | + | 4.20791i | 0.0915568 | + | 0.281783i | 0.986341 | − | 0.164716i | \(-0.0526707\pi\) |
−0.894784 | + | 0.446499i | \(0.852671\pi\) | |||||||
\(224\) | 0.951057 | + | 0.309017i | 0.0635451 | + | 0.0206471i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.08790 | − | 7.00289i | 0.338442 | − | 0.465825i | ||||
\(227\) | −9.16703 | + | 28.2132i | −0.608437 | + | 1.87258i | −0.137266 | + | 0.990534i | \(0.543832\pi\) |
−0.471170 | + | 0.882042i | \(0.656168\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.0808 | − | 10.2303i | 0.930488 | − | 0.676039i | −0.0156243 | − | 0.999878i | \(-0.504974\pi\) |
0.946112 | + | 0.323839i | \(0.104974\pi\) | |||||||
\(230\) | 0.917029 | 0.0604671 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.912640 | 0.0599177 | ||||||||
\(233\) | 11.6050 | − | 8.43156i | 0.760272 | − | 0.552370i | −0.138722 | − | 0.990331i | \(-0.544299\pi\) |
0.898994 | + | 0.437961i | \(0.144299\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.32446 | − | 4.07628i | 0.0863984 | − | 0.265907i | ||||
\(236\) | 1.56554 | − | 2.15478i | 0.101908 | − | 0.140264i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.83371 | − | 1.57057i | −0.313323 | − | 0.101805i | ||||
\(239\) | −7.06213 | − | 21.7350i | −0.456811 | − | 1.40592i | −0.868996 | − | 0.494820i | \(-0.835234\pi\) |
0.412185 | − | 0.911100i | \(-0.364766\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.48724i | 0.417880i | 0.977928 | + | 0.208940i | \(0.0670014\pi\) | ||||
−0.977928 | + | 0.208940i | \(0.932999\pi\) | |||||||
\(242\) | −10.9998 | + | 0.0621503i | −0.707095 | + | 0.00399517i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.63195 | + | 6.37533i | 0.296530 | + | 0.408139i | ||||
\(245\) | −1.52696 | + | 0.496139i | −0.0975538 | + | 0.0316971i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.2526 | + | 8.90200i | 0.779611 | + | 0.566421i | ||||
\(248\) | 5.53777 | + | 4.02343i | 0.351649 | + | 0.255488i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.3335 | + | 3.68246i | −0.716791 | + | 0.232899i | ||||
\(251\) | −10.2279 | − | 14.0776i | −0.645582 | − | 0.888568i | 0.353316 | − | 0.935504i | \(-0.385054\pi\) |
−0.998898 | + | 0.0469364i | \(0.985054\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.80327 | + | 0.580293i | 0.113371 | + | 0.0364827i | ||||
\(254\) | − | 18.4780i | − | 1.15941i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 0.783543 | + | 0.254589i | 0.0488761 | + | 0.0158808i | 0.333353 | − | 0.942802i | \(-0.391820\pi\) |
−0.284477 | + | 0.958683i | \(0.591820\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.131382 | − | 0.180831i | 0.00816366 | − | 0.0112363i | ||||
\(260\) | 1.03100 | − | 3.17309i | 0.0639399 | − | 0.196787i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.81121 | + | 2.76900i | −0.235457 | + | 0.171070i | ||||
\(263\) | −20.2355 | −1.24777 | −0.623886 | − | 0.781515i | \(-0.714447\pi\) | ||||
−0.623886 | + | 0.781515i | \(0.714447\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.08220 | −0.250767 | ||||||||
\(266\) | 5.89618 | − | 4.28383i | 0.361518 | − | 0.262658i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.332246 | − | 1.02255i | 0.0202952 | − | 0.0624621i | ||||
\(269\) | −16.2777 | + | 22.4043i | −0.992469 | + | 1.36602i | −0.0626360 | + | 0.998036i | \(0.519951\pi\) |
−0.929833 | + | 0.367981i | \(0.880049\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.68788 | − | 2.17302i | −0.406260 | − | 0.132002i | 0.0987566 | − | 0.995112i | \(-0.468513\pi\) |
−0.505016 | + | 0.863110i | \(0.668513\pi\) | |||||||
\(272\) | −1.57057 | − | 4.83371i | −0.0952296 | − | 0.293087i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.74165i | 0.226041i | ||||||||
\(275\) | −8.03365 | + | 0.0226954i | −0.484447 | + | 0.00136858i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.26240 | − | 12.7486i | −0.556524 | − | 0.765989i | 0.434356 | − | 0.900741i | \(-0.356976\pi\) |
−0.990879 | + | 0.134752i | \(0.956976\pi\) | |||||||
\(278\) | −12.9725 | + | 4.21504i | −0.778042 | + | 0.252801i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.29891 | − | 0.943712i | −0.0776246 | − | 0.0563976i | ||||
\(281\) | 3.33411 | + | 2.42238i | 0.198897 | + | 0.144507i | 0.682776 | − | 0.730628i | \(-0.260773\pi\) |
−0.483879 | + | 0.875135i | \(0.660773\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −24.4279 | + | 7.93710i | −1.45209 | + | 0.471812i | −0.925643 | − | 0.378398i | \(-0.876475\pi\) |
−0.526444 | + | 0.850210i | \(0.676475\pi\) | |||||||
\(284\) | −1.60190 | − | 2.20483i | −0.0950553 | − | 0.130832i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.03531 | − | 5.58726i | 0.238613 | − | 0.330381i | ||||
\(287\) | − | 1.38887i | − | 0.0819822i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.72906 | + | 8.39917i | 0.160533 | + | 0.494069i | ||||
\(290\) | −1.39356 | − | 0.452796i | −0.0818328 | − | 0.0265891i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.20998 | + | 7.17093i | −0.304891 | + | 0.419647i | ||||
\(293\) | 7.12947 | − | 21.9422i | 0.416508 | − | 1.28188i | −0.494387 | − | 0.869242i | \(-0.664608\pi\) |
0.910895 | − | 0.412638i | \(-0.135392\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.45959 | + | 2.51354i | −0.201425 | + | 0.146344i | ||||
\(296\) | 0.223520 | 0.0129918 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 19.8964 | 1.15257 | ||||||||
\(299\) | −0.960232 | + | 0.697649i | −0.0555316 | + | 0.0403461i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.25826 | − | 6.95021i | 0.130164 | − | 0.400603i | ||||
\(302\) | −11.6308 | + | 16.0084i | −0.669275 | + | 0.921178i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.93138 | + | 2.25214i | 0.397542 | + | 0.129169i | ||||
\(305\) | −3.90974 | − | 12.0330i | −0.223871 | − | 0.689005i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.4639i | 0.654281i | 0.944976 | + | 0.327141i | \(0.106085\pi\) | ||||
−0.944976 | + | 0.327141i | \(0.893915\pi\) | |||||||
\(308\) | −1.95704 | − | 2.67769i | −0.111512 | − | 0.152575i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.45977 | − | 8.89110i | −0.366890 | − | 0.504981i | ||||
\(311\) | 31.9383 | − | 10.3774i | 1.81105 | − | 0.588447i | 0.811060 | − | 0.584963i | \(-0.198891\pi\) |
0.999994 | − | 0.00348429i | \(-0.00110909\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.6362 | + | 9.18072i | 0.714239 | + | 0.518925i | 0.884538 | − | 0.466467i | \(-0.154474\pi\) |
−0.170299 | + | 0.985392i | \(0.554474\pi\) | |||||||
\(314\) | −9.49608 | − | 6.89931i | −0.535895 | − | 0.389350i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.98205 | + | 0.644008i | −0.111499 | + | 0.0362283i | ||||
\(317\) | −0.148748 | − | 0.204734i | −0.00835453 | − | 0.0114990i | 0.804819 | − | 0.593520i | \(-0.202262\pi\) |
−0.813174 | + | 0.582021i | \(0.802262\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.45382 | − | 1.77223i | −0.137387 | − | 0.0992260i | ||||
\(320\) | − | 1.60554i | − | 0.0897523i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.176500 | + | 0.543211i | 0.00983596 | + | 0.0302720i | ||||
\(323\) | −35.2285 | − | 11.4464i | −1.96016 | − | 0.636896i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.95865 | − | 4.07223i | 0.164116 | − | 0.225886i | ||||
\(326\) | 4.62287 | − | 14.2277i | 0.256037 | − | 0.788000i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.12362 | − | 0.816355i | 0.0620413 | − | 0.0450757i | ||||
\(329\) | 2.66954 | 0.147177 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.7547 | −0.701060 | −0.350530 | − | 0.936551i | \(-0.613999\pi\) | ||||
−0.350530 | + | 0.936551i | \(0.613999\pi\) | |||||||
\(332\) | 2.76635 | − | 2.00987i | 0.151823 | − | 0.110306i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.67790 | − | 8.24172i | 0.146528 | − | 0.450967i | ||||
\(335\) | −1.01465 | + | 1.39655i | −0.0554363 | + | 0.0763015i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 17.8760 | + | 5.80827i | 0.973769 | + | 0.316397i | 0.752337 | − | 0.658779i | \(-0.228927\pi\) |
0.221433 | + | 0.975176i | \(0.428927\pi\) | |||||||
\(338\) | −2.68280 | − | 8.25680i | −0.145925 | − | 0.449111i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 8.16009i | 0.442543i | ||||||||
\(341\) | −7.07643 | − | 21.5715i | −0.383210 | − | 1.16816i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.587785 | − | 0.809017i | −0.0317374 | − | 0.0436828i | ||||
\(344\) | 6.95021 | − | 2.25826i | 0.374730 | − | 0.121757i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.1009 | + | 9.51834i | 0.704307 | + | 0.511709i | ||||
\(347\) | −10.8112 | − | 7.85476i | −0.580373 | − | 0.421666i | 0.258485 | − | 0.966015i | \(-0.416777\pi\) |
−0.838859 | + | 0.544349i | \(0.816777\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.0593 | − | 5.54290i | 0.913162 | − | 0.296704i | 0.185503 | − | 0.982644i | \(-0.440608\pi\) |
0.727659 | + | 0.685939i | \(0.240608\pi\) | |||||||
\(350\) | −1.42376 | − | 1.95964i | −0.0761032 | − | 0.104747i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.01598 | − | 3.15718i | 0.0541518 | − | 0.168278i | ||||
\(353\) | 21.9355i | 1.16751i | 0.811930 | + | 0.583755i | \(0.198417\pi\) | ||||
−0.811930 | + | 0.583755i | \(0.801583\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.35213 | + | 4.16144i | 0.0717638 | + | 0.220866i | ||||
\(356\) | −1.67491 | − | 0.544210i | −0.0887698 | − | 0.0288431i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.37288 | − | 12.9007i | 0.495372 | − | 0.681821i | ||||
\(359\) | −3.59087 | + | 11.0515i | −0.189519 | + | 0.583278i | −0.999997 | − | 0.00249036i | \(-0.999207\pi\) |
0.810478 | + | 0.585769i | \(0.199207\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 27.6005 | − | 20.0530i | 1.45266 | − | 1.05542i | ||||
\(362\) | 0.0620771 | 0.00326270 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.07805 | 0.108919 | ||||||||
\(365\) | 11.5132 | − | 8.36483i | 0.602628 | − | 0.437835i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.32055 | − | 22.5303i | 0.382130 | − | 1.17607i | −0.556412 | − | 0.830907i | \(-0.687822\pi\) |
0.938541 | − | 0.345167i | \(-0.112178\pi\) | |||||||
\(368\) | −0.335723 | + | 0.462083i | −0.0175008 | + | 0.0240878i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.341306 | − | 0.110897i | −0.0177436 | − | 0.00576525i | ||||
\(371\) | −0.785698 | − | 2.41813i | −0.0407914 | − | 0.125543i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.1876i | 0.786383i | 0.919457 | + | 0.393191i | \(0.128629\pi\) | ||||
−0.919457 | + | 0.393191i | \(0.871371\pi\) | |||||||
\(374\) | −5.16367 | + | 16.0462i | −0.267007 | + | 0.829732i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.56912 | + | 2.15970i | 0.0809210 | + | 0.111378i | ||||
\(377\) | 1.80369 | − | 0.586054i | 0.0928947 | − | 0.0301833i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.08238 | + | 3.69256i | 0.261064 | + | 0.189674i | 0.710616 | − | 0.703580i | \(-0.248416\pi\) |
−0.449552 | + | 0.893254i | \(0.648416\pi\) | |||||||
\(380\) | −9.46655 | − | 6.87785i | −0.485624 | − | 0.352826i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.45043 | + | 0.796192i | −0.125375 | + | 0.0407367i | ||||
\(383\) | −0.213108 | − | 0.293317i | −0.0108893 | − | 0.0149878i | 0.803538 | − | 0.595254i | \(-0.202949\pi\) |
−0.814427 | + | 0.580266i | \(0.802949\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.65981 | + | 5.05968i | 0.0845916 | + | 0.257865i | ||||
\(386\) | − | 20.3866i | − | 1.03765i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.08331 | − | 6.41177i | −0.105764 | − | 0.325508i | ||||
\(389\) | 34.0858 | + | 11.0751i | 1.72822 | + | 0.561532i | 0.993190 | − | 0.116505i | \(-0.0371691\pi\) |
0.735028 | + | 0.678037i | \(0.237169\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.70630 | − | 2.34852i | 0.0862913 | − | 0.118770i | ||||
\(392\) | 0.309017 | − | 0.951057i | 0.0156077 | − | 0.0480356i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −17.4328 | + | 12.6657i | −0.878251 | + | 0.638087i | ||||
\(395\) | 3.34603 | 0.168357 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.45086 | −0.123005 | −0.0615025 | − | 0.998107i | \(-0.519589\pi\) | ||||
−0.0615025 | + | 0.998107i | \(0.519589\pi\) | |||||||
\(398\) | −3.98494 | + | 2.89523i | −0.199747 | + | 0.145125i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.748515 | − | 2.30369i | 0.0374258 | − | 0.115185i | ||||
\(401\) | −16.2731 | + | 22.3980i | −0.812640 | + | 1.11850i | 0.178271 | + | 0.983981i | \(0.442950\pi\) |
−0.990911 | + | 0.134521i | \(0.957050\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.5282 | + | 4.39557i | 0.673887 | + | 0.218959i | ||||
\(404\) | 0.129934 | + | 0.399897i | 0.00646447 | + | 0.0198956i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 0.912640i | − | 0.0452935i | ||||||
\(407\) | −0.600979 | − | 0.434048i | −0.0297894 | − | 0.0215150i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.01096 | + | 4.14423i | 0.148882 | + | 0.204919i | 0.876944 | − | 0.480593i | \(-0.159578\pi\) |
−0.728062 | + | 0.685512i | \(0.759578\pi\) | |||||||
\(410\) | −2.12074 | + | 0.689070i | −0.104736 | + | 0.0340307i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 9.02615 | + | 6.55788i | 0.444687 | + | 0.323084i | ||||
\(413\) | −2.15478 | − | 1.56554i | −0.106030 | − | 0.0770353i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.22128 | + | 1.69650i | −0.256303 | + | 0.0832778i | ||||
\(416\) | 1.22145 | + | 1.68118i | 0.0598864 | + | 0.0824265i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −14.2630 | − | 19.5152i | −0.697628 | − | 0.954520i | ||||
\(419\) | 1.83272i | 0.0895341i | 0.998997 | + | 0.0447670i | \(0.0142546\pi\) | ||||
−0.998997 | + | 0.0447670i | \(0.985745\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.27315 | + | 22.3844i | 0.354472 | + | 1.09095i | 0.956315 | + | 0.292337i | \(0.0944330\pi\) |
−0.601844 | + | 0.798614i | \(0.705567\pi\) | |||||||
\(422\) | 25.5175 | + | 8.29114i | 1.24217 | + | 0.403606i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.49449 | − | 2.05698i | 0.0725787 | − | 0.0998960i | ||||
\(425\) | −3.80430 | + | 11.7084i | −0.184536 | + | 0.567942i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.37533 | − | 4.63195i | 0.308524 | − | 0.224156i | ||||
\(428\) | 13.9691 | 0.675221 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −11.7331 | −0.565819 | ||||||||
\(431\) | 11.1259 | − | 8.08344i | 0.535916 | − | 0.389366i | −0.286650 | − | 0.958035i | \(-0.592542\pi\) |
0.822566 | + | 0.568670i | \(0.192542\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.33873 | − | 7.19786i | 0.112392 | − | 0.345907i | −0.879002 | − | 0.476818i | \(-0.841790\pi\) |
0.991394 | + | 0.130911i | \(0.0417902\pi\) | |||||||
\(434\) | 4.02343 | − | 5.53777i | 0.193131 | − | 0.265822i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.0181 | − | 4.22984i | −0.623454 | − | 0.202573i | ||||
\(437\) | 1.28635 | + | 3.95897i | 0.0615343 | + | 0.189383i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.9761i | 0.857953i | 0.903316 | + | 0.428976i | \(0.141126\pi\) | ||||
−0.903316 | + | 0.428976i | \(0.858874\pi\) | |||||||
\(440\) | −3.11776 | + | 4.31682i | −0.148633 | + | 0.205796i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.20796 | − | 8.54452i | −0.295282 | − | 0.406421i | ||||
\(443\) | −30.6860 | + | 9.97049i | −1.45794 | + | 0.473712i | −0.927439 | − | 0.373975i | \(-0.877995\pi\) |
−0.530497 | + | 0.847687i | \(0.677995\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.28751 | + | 1.66197i | 0.108438 | + | 0.0787850i | ||||
\(446\) | 3.57947 | + | 2.60063i | 0.169493 | + | 0.123144i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.951057 | − | 0.309017i | 0.0449332 | − | 0.0145997i | ||||
\(449\) | −2.64455 | − | 3.63992i | −0.124804 | − | 0.171778i | 0.742043 | − | 0.670353i | \(-0.233857\pi\) |
−0.866847 | + | 0.498574i | \(0.833857\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.60633 | + | 0.0130130i | −0.216904 | + | 0.000612760i | ||||
\(452\) | − | 8.65605i | − | 0.407146i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.16703 | + | 28.2132i | 0.430230 | + | 1.32411i | ||||
\(455\) | −3.17309 | − | 1.03100i | −0.148757 | − | 0.0483341i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.9540 | + | 27.4643i | −0.933407 | + | 1.28472i | 0.0251087 | + | 0.999685i | \(0.492007\pi\) |
−0.958516 | + | 0.285040i | \(0.907993\pi\) | |||||||
\(458\) | 5.37840 | − | 16.5530i | 0.251316 | − | 0.773472i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.741892 | − | 0.539016i | 0.0345909 | − | 0.0251318i | ||||
\(461\) | 16.7578 | 0.780488 | 0.390244 | − | 0.920712i | \(-0.372391\pi\) | ||||
0.390244 | + | 0.920712i | \(0.372391\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.18566 | 0.101576 | 0.0507881 | − | 0.998709i | \(-0.483827\pi\) | ||||
0.0507881 | + | 0.998709i | \(0.483827\pi\) | |||||||
\(464\) | 0.738341 | − | 0.536436i | 0.0342766 | − | 0.0249034i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.43273 | − | 13.6426i | 0.205342 | − | 0.631979i | ||||
\(467\) | −15.9417 | + | 21.9419i | −0.737696 | + | 1.01535i | 0.261052 | + | 0.965325i | \(0.415931\pi\) |
−0.998748 | + | 0.0500264i | \(0.984069\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.02255 | − | 0.332246i | −0.0472169 | − | 0.0153417i | ||||
\(470\) | −1.32446 | − | 4.07628i | −0.0610929 | − | 0.188025i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 2.66346i | − | 0.122596i | ||||||
\(473\) | −23.0723 | − | 7.42465i | −1.06087 | − | 0.341386i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.3765 | − | 14.2820i | −0.476106 | − | 0.655303i | ||||
\(476\) | −4.83371 | + | 1.57057i | −0.221553 | + | 0.0719868i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −18.4889 | − | 13.4330i | −0.845662 | − | 0.614410i | ||||
\(479\) | 14.8834 | + | 10.8134i | 0.680039 | + | 0.494077i | 0.873371 | − | 0.487056i | \(-0.161929\pi\) |
−0.193332 | + | 0.981133i | \(0.561929\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.441752 | − | 0.143534i | 0.0201422 | − | 0.00654458i | ||||
\(482\) | 3.81311 | + | 5.24829i | 0.173682 | + | 0.239053i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −8.86251 | + | 6.51582i | −0.402842 | + | 0.296173i | ||||
\(485\) | 10.8241i | 0.491498i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.196381 | + | 0.604400i | 0.00889889 | + | 0.0273880i | 0.955407 | − | 0.295291i | \(-0.0954166\pi\) |
−0.946508 | + | 0.322679i | \(0.895417\pi\) | |||||||
\(488\) | 7.49465 | + | 2.43516i | 0.339267 | + | 0.110234i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.943712 | + | 1.29891i | −0.0426326 | + | 0.0586787i | ||||
\(491\) | 8.69472 | − | 26.7596i | 0.392387 | − | 1.20764i | −0.538590 | − | 0.842568i | \(-0.681043\pi\) |
0.930978 | − | 0.365076i | \(-0.118957\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.75259 | + | 2.72642i | −0.169008 | + | 0.122792i | ||||
\(494\) | 15.1450 | 0.681405 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6.84506 | 0.307352 | ||||||||
\(497\) | −2.20483 | + | 1.60190i | −0.0989000 | + | 0.0718550i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.34898 | − | 13.3848i | 0.194687 | − | 0.599185i | −0.805293 | − | 0.592877i | \(-0.797992\pi\) |
0.999980 | − | 0.00630793i | \(-0.00200789\pi\) | |||||||
\(500\) | −7.00446 | + | 9.64081i | −0.313249 | + | 0.431150i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −16.5492 | − | 5.37715i | −0.738625 | − | 0.239994i | ||||
\(503\) | −5.55098 | − | 17.0842i | −0.247506 | − | 0.761745i | −0.995214 | − | 0.0977174i | \(-0.968846\pi\) |
0.747708 | − | 0.664027i | \(-0.231154\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 0.675091i | − | 0.0300411i | ||||||
\(506\) | 1.79997 | − | 0.590472i | 0.0800183 | − | 0.0262497i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.8611 | − | 14.9490i | −0.481882 | − | 0.663254i | ||||
\(509\) | −7.76443 | + | 2.52281i | −0.344152 | + | 0.111822i | −0.475993 | − | 0.879449i | \(-0.657911\pi\) |
0.131841 | + | 0.991271i | \(0.457911\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.17093 | + | 5.20998i | 0.317223 | + | 0.230476i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.783543 | − | 0.254589i | 0.0345606 | − | 0.0112294i | ||||
\(515\) | −10.5289 | − | 14.4918i | −0.463960 | − | 0.638586i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.0250124 | − | 8.85383i | −0.00110004 | − | 0.389391i | ||||
\(518\) | − | 0.223520i | − | 0.00982090i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.03100 | − | 3.17309i | −0.0452124 | − | 0.139149i | ||||
\(521\) | 20.3926 | + | 6.62596i | 0.893416 | + | 0.290289i | 0.719517 | − | 0.694475i | \(-0.244363\pi\) |
0.173899 | + | 0.984763i | \(0.444363\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 20.3474 | − | 28.0057i | 0.889728 | − | 1.22461i | −0.0839025 | − | 0.996474i | \(-0.526738\pi\) |
0.973630 | − | 0.228131i | \(-0.0732616\pi\) | |||||||
\(524\) | −1.45575 | + | 4.48034i | −0.0635948 | + | 0.195725i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −16.3708 | + | 11.8941i | −0.713802 | + | 0.518608i | ||||
\(527\) | −34.7898 | −1.51547 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.6738 | 0.985816 | ||||||||
\(530\) | −3.30257 | + | 2.39945i | −0.143454 | + | 0.104226i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.25214 | − | 6.93138i | 0.0976427 | − | 0.300513i | ||||
\(533\) | 1.69643 | − | 2.33493i | 0.0734804 | − | 0.101137i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −21.3302 | − | 6.93060i | −0.922185 | − | 0.299636i | ||||
\(536\) | −0.332246 | − | 1.02255i | −0.0143508 | − | 0.0441673i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 27.6933i | 1.19394i | ||||||||
\(539\) | −2.67769 | + | 1.95704i | −0.115336 | + | 0.0842955i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.5577 | − | 18.6606i | −0.582892 | − | 0.802282i | 0.411117 | − | 0.911583i | \(-0.365139\pi\) |
−0.994009 | + | 0.109301i | \(0.965139\pi\) | |||||||
\(542\) | −6.68788 | + | 2.17302i | −0.287269 | + | 0.0933393i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.11180 | − | 2.98740i | −0.176292 | − | 0.128084i | ||||
\(545\) | 17.7795 | + | 12.9176i | 0.761591 | + | 0.553328i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −27.3382 | + | 8.88272i | −1.16890 | + | 0.379798i | −0.828231 | − | 0.560386i | \(-0.810653\pi\) |
−0.340666 | + | 0.940184i | \(0.610653\pi\) | |||||||
\(548\) | 2.19929 | + | 3.02706i | 0.0939489 | + | 0.129310i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.48602 | + | 4.74042i | −0.276565 | + | 0.202132i | ||||
\(551\) | − | 6.65139i | − | 0.283359i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.644008 | + | 1.98205i | 0.0273860 | + | 0.0842854i | ||||
\(554\) | −14.9869 | − | 4.86953i | −0.636731 | − | 0.206887i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.01748 | + | 11.0351i | −0.340017 | + | 0.467993i | ||||
\(557\) | −0.691501 | + | 2.12822i | −0.0292999 | + | 0.0901757i | −0.964637 | − | 0.263582i | \(-0.915096\pi\) |
0.935337 | + | 0.353757i | \(0.115096\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 12.2858 | − | 8.92619i | 0.519636 | − | 0.377537i | ||||
\(560\) | −1.60554 | −0.0678464 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.12119 | 0.173842 | ||||||||
\(563\) | −17.2047 | + | 12.5000i | −0.725092 | + | 0.526810i | −0.888007 | − | 0.459830i | \(-0.847910\pi\) |
0.162915 | + | 0.986640i | \(0.447910\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.29460 | + | 13.2174i | −0.180675 | + | 0.556061i | ||||
\(566\) | −15.0973 | + | 20.7796i | −0.634585 | + | 0.873432i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.59193 | − | 0.842169i | −0.108755 | − | 0.0353366i | ||||
\(569\) | 7.82027 | + | 24.0683i | 0.327843 | + | 1.00900i | 0.970141 | + | 0.242541i | \(0.0779811\pi\) |
−0.642298 | + | 0.766455i | \(0.722019\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 37.4910i | 1.56895i | 0.620160 | + | 0.784476i | \(0.287068\pi\) | ||||
−0.620160 | + | 0.784476i | \(0.712932\pi\) | |||||||
\(572\) | −0.0194704 | − | 6.89208i | −0.000814098 | − | 0.288172i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.816355 | − | 1.12362i | −0.0340740 | − | 0.0468988i | ||||
\(575\) | 1.31579 | − | 0.427527i | 0.0548723 | − | 0.0178291i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.60687 | − | 2.62055i | −0.150156 | − | 0.109095i | 0.510171 | − | 0.860073i | \(-0.329582\pi\) |
−0.660327 | + | 0.750978i | \(0.729582\pi\) | |||||||
\(578\) | 7.14476 | + | 5.19098i | 0.297183 | + | 0.215916i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.39356 | + | 0.452796i | −0.0578645 | + | 0.0188013i | ||||
\(581\) | −2.00987 | − | 2.76635i | −0.0833836 | − | 0.114768i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.01263 | + | 2.62851i | −0.331849 | + | 0.108862i | ||||
\(584\) | 8.86375i | 0.366785i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.12947 | − | 21.9422i | −0.294515 | − | 0.906425i | ||||
\(587\) | 13.9104 | + | 4.51976i | 0.574143 | + | 0.186550i | 0.581675 | − | 0.813421i | \(-0.302398\pi\) |
−0.00753197 | + | 0.999972i | \(0.502398\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 29.3231 | − | 40.3597i | 1.20824 | − | 1.66299i | ||||
\(590\) | −1.32144 | + | 4.06699i | −0.0544030 | + | 0.167435i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.180831 | − | 0.131382i | 0.00743213 | − | 0.00539976i | ||||
\(593\) | 3.46567 | 0.142318 | 0.0711591 | − | 0.997465i | \(-0.477330\pi\) | ||||
0.0711591 | + | 0.997465i | \(0.477330\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.16009 | 0.334531 | ||||||||
\(596\) | 16.0965 | − | 11.6948i | 0.659339 | − | 0.479038i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.366776 | + | 1.12882i | −0.0149986 | + | 0.0461609i | ||||
\(599\) | 10.8009 | − | 14.8662i | 0.441313 | − | 0.607415i | −0.529190 | − | 0.848503i | \(-0.677504\pi\) |
0.970503 | + | 0.241088i | \(0.0775042\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.4255 | − | 4.68713i | −0.588428 | − | 0.191192i | −0.000355338 | − | 1.00000i | \(-0.500113\pi\) |
−0.588073 | + | 0.808808i | \(0.700113\pi\) | |||||||
\(602\) | −2.25826 | − | 6.95021i | −0.0920398 | − | 0.283269i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 19.7874i | 0.805139i | ||||||||
\(605\) | 16.7654 | − | 5.55234i | 0.681612 | − | 0.225735i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 25.8387 | + | 35.5639i | 1.04876 | + | 1.44349i | 0.889880 | + | 0.456194i | \(0.150788\pi\) |
0.158878 | + | 0.987298i | \(0.449212\pi\) | |||||||
\(608\) | 6.93138 | − | 2.25214i | 0.281104 | − | 0.0913364i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10.2358 | − | 7.43677i | −0.414437 | − | 0.301106i | ||||
\(611\) | 4.48797 | + | 3.26070i | 0.181564 | + | 0.131914i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.70962 | − | 2.18009i | 0.270999 | − | 0.0880530i | −0.170365 | − | 0.985381i | \(-0.554495\pi\) |
0.441364 | + | 0.897328i | \(0.354495\pi\) | |||||||
\(614\) | 6.73833 | + | 9.27452i | 0.271937 | + | 0.374289i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.15718 | − | 1.01598i | −0.127206 | − | 0.0409349i | ||||
\(617\) | 31.9516i | 1.28632i | 0.765731 | + | 0.643161i | \(0.222377\pi\) | ||||
−0.765731 | + | 0.643161i | \(0.777623\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.9229 | + | 36.6951i | 0.479224 | + | 1.47490i | 0.840176 | + | 0.542314i | \(0.182452\pi\) |
−0.360952 | + | 0.932584i | \(0.617548\pi\) | |||||||
\(620\) | −10.4521 | − | 3.39610i | −0.419767 | − | 0.136391i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 19.7389 | − | 27.1683i | 0.791460 | − | 1.08935i | ||||
\(623\) | −0.544210 | + | 1.67491i | −0.0218033 | + | 0.0671037i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.68051 | − | 4.12713i | 0.227220 | − | 0.165085i | ||||
\(626\) | 15.6192 | 0.624268 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.7378 | −0.468389 | ||||||||
\(629\) | −0.919069 | + | 0.667743i | −0.0366457 | + | 0.0266246i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.41915 | − | 25.9115i | 0.335161 | − | 1.03152i | −0.631481 | − | 0.775391i | \(-0.717553\pi\) |
0.966643 | − | 0.256129i | \(-0.0824472\pi\) | |||||||
\(632\) | −1.22498 | + | 1.68603i | −0.0487269 | + | 0.0670668i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.240680 | − | 0.0782016i | −0.00955861 | − | 0.00310578i | ||||
\(635\) | 9.16763 | + | 28.2151i | 0.363806 | + | 1.11968i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 2.07805i | − | 0.0823353i | ||||||
\(638\) | −3.02687 | + | 0.00855102i | −0.119835 | + | 0.000338538i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.943712 | − | 1.29891i | −0.0373035 | − | 0.0513438i | ||||
\(641\) | 24.9374 | − | 8.10265i | 0.984968 | − | 0.320036i | 0.228125 | − | 0.973632i | \(-0.426741\pi\) |
0.756843 | + | 0.653596i | \(0.226741\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13.9281 | + | 10.1194i | 0.549273 | + | 0.399070i | 0.827517 | − | 0.561440i | \(-0.189753\pi\) |
−0.278245 | + | 0.960510i | \(0.589753\pi\) | |||||||
\(644\) | 0.462083 | + | 0.335723i | 0.0182086 | + | 0.0132293i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −35.2285 | + | 11.4464i | −1.38605 | + | 0.450353i | ||||
\(647\) | 27.7069 | + | 38.1352i | 1.08927 | + | 1.49925i | 0.848889 | + | 0.528571i | \(0.177272\pi\) |
0.240379 | + | 0.970679i | \(0.422728\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.17210 | + | 7.16125i | −0.203023 | + | 0.281104i | ||||
\(650\) | − | 5.03355i | − | 0.197432i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −4.62287 | − | 14.2277i | −0.181045 | − | 0.557200i | ||||
\(653\) | 23.4336 | + | 7.61404i | 0.917028 | + | 0.297961i | 0.729247 | − | 0.684250i | \(-0.239870\pi\) |
0.187781 | + | 0.982211i | \(0.439870\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.44574 | − | 6.11904i | 0.173710 | − | 0.239091i | ||||
\(656\) | 0.429183 | − | 1.32089i | 0.0167568 | − | 0.0515721i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.15970 | − | 1.56912i | 0.0841940 | − | 0.0611705i | ||||
\(659\) | −37.5368 | −1.46222 | −0.731112 | − | 0.682257i | \(-0.760998\pi\) | ||||
−0.731112 | + | 0.682257i | \(0.760998\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −48.6994 | −1.89419 | −0.947093 | − | 0.320958i | \(-0.895995\pi\) | ||||
−0.947093 | + | 0.320958i | \(0.895995\pi\) | |||||||
\(662\) | −10.3187 | + | 7.49701i | −0.401049 | + | 0.291379i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.05665 | − | 3.25205i | 0.0410061 | − | 0.126204i | ||||
\(665\) | −6.87785 | + | 9.46655i | −0.266711 | + | 0.367097i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.495756 | + | 0.161081i | 0.0191958 | + | 0.00623708i | ||||
\(668\) | −2.67790 | − | 8.24172i | −0.103611 | − | 0.318882i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.72623i | 0.0666900i | ||||||||
\(671\) | −15.4221 | − | 21.1011i | −0.595364 | − | 0.814599i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.8705 | + | 20.4675i | 0.573216 | + | 0.788964i | 0.992931 | − | 0.118692i | \(-0.0378701\pi\) |
−0.419715 | + | 0.907656i | \(0.637870\pi\) | |||||||
\(674\) | 17.8760 | − | 5.80827i | 0.688559 | − | 0.223726i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.02365 | − | 5.10298i | −0.270140 | − | 0.196269i | ||||
\(677\) | 31.9902 | + | 23.2422i | 1.22948 | + | 0.893271i | 0.996851 | − | 0.0792943i | \(-0.0252667\pi\) |
0.232631 | + | 0.972565i | \(0.425267\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.41177 | + | 2.08331i | −0.246061 | + | 0.0799501i | ||||
\(680\) | 4.79638 | + | 6.60165i | 0.183933 | + | 0.253162i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −18.4043 | − | 13.2923i | −0.704738 | − | 0.508987i | ||||
\(683\) | 24.4657i | 0.936152i | 0.883688 | + | 0.468076i | \(0.155053\pi\) | ||||
−0.883688 | + | 0.468076i | \(0.844947\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.85638 | − | 5.71334i | −0.0709285 | − | 0.218296i | ||||
\(686\) | −0.951057 | − | 0.309017i | −0.0363115 | − | 0.0117983i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.29546 | − | 5.91220i | 0.163763 | − | 0.225400i | ||||
\(689\) | 1.63272 | − | 5.02499i | 0.0622016 | − | 0.191437i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.9547 | − | 8.68557i | 0.454777 | − | 0.330414i | −0.336702 | − | 0.941611i | \(-0.609312\pi\) |
0.791479 | + | 0.611197i | \(0.209312\pi\) | |||||||
\(692\) | 16.1936 | 0.615587 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −13.3633 | −0.507265 | ||||||||
\(695\) | 17.7173 | − | 12.8724i | 0.672055 | − | 0.488277i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.18131 | + | 6.71337i | −0.0826229 | + | 0.254287i | ||||
\(698\) | 10.5432 | − | 14.5115i | 0.399067 | − | 0.549268i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.30369 | − | 0.748515i | −0.0870714 | − | 0.0282912i | ||||
\(701\) | 11.8624 | + | 36.5086i | 0.448035 | + | 1.37891i | 0.879120 | + | 0.476600i | \(0.158131\pi\) |
−0.431085 | + | 0.902311i | \(0.641869\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 1.62903i | − | 0.0614401i | ||||||
\(704\) | −1.03380 | − | 3.15139i | −0.0389628 | − | 0.118772i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 12.8934 | + | 17.7462i | 0.485249 | + | 0.667888i | ||||
\(707\) | 0.399897 | − | 0.129934i | 0.0150397 | − | 0.00488668i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 42.0538 | + | 30.5539i | 1.57937 | + | 1.14748i | 0.917417 | + | 0.397926i | \(0.130270\pi\) |
0.661948 | + | 0.749550i | \(0.269730\pi\) | |||||||
\(710\) | 3.53993 | + | 2.57191i | 0.132851 | + | 0.0965222i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.67491 | + | 0.544210i | −0.0627698 | + | 0.0203951i | ||||
\(713\) | 2.29805 | + | 3.16299i | 0.0860625 | + | 0.118455i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.38970 | + | 10.5336i | −0.126768 | + | 0.393934i | ||||
\(716\) | − | 15.9461i | − | 0.595933i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.59087 | + | 11.0515i | 0.134010 | + | 0.412440i | ||||
\(719\) | 32.7633 | + | 10.6454i | 1.22186 | + | 0.397008i | 0.847760 | − | 0.530380i | \(-0.177951\pi\) |
0.374103 | + | 0.927387i | \(0.377951\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.55788 | − | 9.02615i | 0.244228 | − | 0.336151i | ||||
\(722\) | 10.5425 | − | 32.4464i | 0.392350 | − | 1.20753i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.0502214 | − | 0.0364880i | 0.00186646 | − | 0.00135607i | ||||
\(725\) | −2.21064 | −0.0821010 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −49.2737 | −1.82746 | −0.913731 | − | 0.406320i | \(-0.866812\pi\) | ||||
−0.913731 | + | 0.406320i | \(0.866812\pi\) | |||||||
\(728\) | 1.68118 | − | 1.22145i | 0.0623086 | − | 0.0452698i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.39765 | − | 13.5346i | 0.162764 | − | 0.500937i | ||||
\(731\) | −21.8315 | + | 30.0485i | −0.807468 | + | 1.11138i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −20.6563 | − | 6.71165i | −0.762959 | − | 0.247900i | −0.0984110 | − | 0.995146i | \(-0.531376\pi\) |
−0.664548 | + | 0.747245i | \(0.731376\pi\) | |||||||
\(734\) | −7.32055 | − | 22.5303i | −0.270206 | − | 0.831610i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.571166i | 0.0210535i | ||||||||
\(737\) | −1.09235 | + | 3.39451i | −0.0402372 | + | 0.125038i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.1893 | − | 14.0244i | −0.374819 | − | 0.515894i | 0.579384 | − | 0.815055i | \(-0.303293\pi\) |
−0.954203 | + | 0.299161i | \(0.903293\pi\) | |||||||
\(740\) | −0.341306 | + | 0.110897i | −0.0125466 | + | 0.00407665i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.05698 | − | 1.49449i | −0.0755142 | − | 0.0548643i | ||||
\(743\) | 11.0479 | + | 8.02674i | 0.405307 | + | 0.294473i | 0.771699 | − | 0.635988i | \(-0.219407\pi\) |
−0.366392 | + | 0.930460i | \(0.619407\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −30.3809 | + | 9.87137i | −1.11307 | + | 0.361659i | ||||
\(746\) | 8.92703 | + | 12.2870i | 0.326842 | + | 0.449859i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.25425 | + | 16.0168i | 0.192114 | + | 0.585633i | ||||
\(749\) | − | 13.9691i | − | 0.510419i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.82437 | + | 8.69251i | 0.103063 | + | 0.317194i | 0.989271 | − | 0.146093i | \(-0.0466698\pi\) |
−0.886208 | + | 0.463287i | \(0.846670\pi\) | |||||||
\(752\) | 2.53888 | + | 0.824934i | 0.0925836 | + | 0.0300822i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.11474 | − | 1.53431i | 0.0405965 | − | 0.0558762i | ||||
\(755\) | 9.81730 | − | 30.2146i | 0.357288 | − | 1.09962i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 39.2757 | − | 28.5355i | 1.42750 | − | 1.03714i | 0.437024 | − | 0.899450i | \(-0.356032\pi\) |
0.990475 | − | 0.137689i | \(-0.0439676\pi\) | |||||||
\(758\) | 6.28216 | 0.228178 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.7013 | −0.424451 | ||||||||
\(761\) | −30.8448 | + | 22.4100i | −1.11812 | + | 0.812363i | −0.983923 | − | 0.178591i | \(-0.942846\pi\) |
−0.134199 | + | 0.990954i | \(0.542846\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.22984 | + | 13.0181i | −0.153130 | + | 0.471287i | ||||
\(764\) | −1.51445 | + | 2.08446i | −0.0547908 | + | 0.0754131i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.344815 | − | 0.112037i | −0.0124587 | − | 0.00404807i | ||||
\(767\) | −1.71035 | − | 5.26391i | −0.0617570 | − | 0.190069i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.10519i | 0.111976i | 0.998431 | + | 0.0559881i | \(0.0178309\pi\) | ||||
−0.998431 | + | 0.0559881i | \(0.982169\pi\) | |||||||
\(770\) | 4.31682 | + | 3.11776i | 0.155567 | + | 0.112356i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −11.9830 | − | 16.4931i | −0.431276 | − | 0.593601i | ||||
\(773\) | 18.3730 | − | 5.96974i | 0.660830 | − | 0.214717i | 0.0406465 | − | 0.999174i | \(-0.487058\pi\) |
0.620183 | + | 0.784457i | \(0.287058\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.4138 | − | 9.74573i | −0.481840 | − | 0.350077i | ||||
\(776\) | −5.45418 | − | 3.96269i | −0.195794 | − | 0.142252i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 34.0858 | − | 11.0751i | 1.22203 | − | 0.397063i | ||||
\(779\) | −5.94966 | − | 8.18901i | −0.213169 | − | 0.293402i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.33354 | + | 7.29754i | 0.190849 | + | 0.261127i | ||||
\(782\) | − | 2.90293i | − | 0.103809i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.309017 | − | 0.951057i | −0.0110363 | − | 0.0339663i | ||||
\(785\) | 17.9231 | + | 5.82358i | 0.639704 | + | 0.207852i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.01883 | + | 8.28421i | −0.214548 | + | 0.295300i | −0.902703 | − | 0.430263i | \(-0.858421\pi\) |
0.688155 | + | 0.725563i | \(0.258421\pi\) | |||||||
\(788\) | −6.65873 | + | 20.4935i | −0.237208 | + | 0.730050i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.70699 | − | 1.96674i | 0.0963104 | − | 0.0699736i | ||||
\(791\) | −8.65605 | −0.307774 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 16.3757 | 0.581520 | ||||||||
\(794\) | −1.98278 | + | 1.44058i | −0.0703664 | + | 0.0511242i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.52211 | + | 4.68457i | −0.0539498 | + | 0.166040i | ||||
\(797\) | 8.32750 | − | 11.4618i | 0.294975 | − | 0.405999i | −0.635647 | − | 0.771980i | \(-0.719267\pi\) |
0.930622 | + | 0.365981i | \(0.119267\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.9038 | − | 4.19269i | −0.456503 | − | 0.148327i | ||||
\(800\) | −0.748515 | − | 2.30369i | −0.0264640 | − | 0.0814479i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 27.6855i | 0.977607i | ||||||||
\(803\) | 17.2123 | − | 23.8320i | 0.607409 | − | 0.841013i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.539016 | − | 0.741892i | −0.0189978 | − | 0.0261483i | ||||
\(806\) | 13.5282 | − | 4.39557i | 0.476510 | − | 0.154827i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.340172 | + | 0.247150i | 0.0119672 | + | 0.00869470i | ||||
\(809\) | −4.91362 | − | 3.56995i | −0.172754 | − | 0.125513i | 0.498049 | − | 0.867149i | \(-0.334050\pi\) |
−0.670802 | + | 0.741636i | \(0.734050\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −27.6825 | + | 8.99460i | −0.972065 | + | 0.315843i | −0.751649 | − | 0.659563i | \(-0.770741\pi\) |
−0.220416 | + | 0.975406i | \(0.570741\pi\) | |||||||
\(812\) | −0.536436 | − | 0.738341i | −0.0188252 | − | 0.0259107i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.741329 | + | 0.00209428i | −0.0259836 | + | 7.34045e-5i | ||||
\(815\) | 24.0187i | 0.841339i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −16.4584 | − | 50.6537i | −0.575806 | − | 1.77215i | ||||
\(818\) | 4.87183 | + | 1.58295i | 0.170340 | + | 0.0553467i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.31069 | + | 1.80401i | −0.0457713 | + | 0.0629987i | ||||
\(821\) | −9.59243 | + | 29.5225i | −0.334778 | + | 1.03034i | 0.632053 | + | 0.774925i | \(0.282213\pi\) |
−0.966831 | + | 0.255416i | \(0.917787\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −27.3996 | + | 19.9070i | −0.955090 | + | 0.693914i | −0.952005 | − | 0.306081i | \(-0.900982\pi\) |
−0.00308506 | + | 0.999995i | \(0.500982\pi\) | |||||||
\(824\) | 11.1569 | 0.388670 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.66346 | −0.0926736 | ||||||||
\(827\) | −35.5462 | + | 25.8258i | −1.23606 | + | 0.898052i | −0.997330 | − | 0.0730327i | \(-0.976732\pi\) |
−0.238734 | + | 0.971085i | \(0.576732\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 3.63277 | − | 11.1805i | 0.126171 | − | 0.388315i | −0.867941 | − | 0.496667i | \(-0.834557\pi\) |
0.994113 | + | 0.108351i | \(0.0345572\pi\) | |||||||
\(830\) | −3.22693 | + | 4.44149i | −0.112008 | + | 0.154166i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.97634 | + | 0.642153i | 0.0685173 | + | 0.0222626i | ||||
\(833\) | 1.57057 | + | 4.83371i | 0.0544169 | + | 0.167478i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13.9134i | 0.481492i | ||||||||
\(836\) | −23.0098 | − | 7.40453i | −0.795810 | − | 0.256091i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 1.07724 | + | 1.48270i | 0.0372128 | + | 0.0512190i | ||||
\(839\) | 15.0733 | − | 4.89763i | 0.520390 | − | 0.169085i | −0.0370325 | − | 0.999314i | \(-0.511791\pi\) |
0.557422 | + | 0.830229i | \(0.311791\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 22.7877 | + | 16.5562i | 0.785781 | + | 0.570903i | ||||
\(842\) | 19.0413 | + | 13.8343i | 0.656208 | + | 0.476763i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 25.5175 | − | 8.29114i | 0.878348 | − | 0.285393i | ||||
\(845\) | 8.19303 | + | 11.2767i | 0.281849 | + | 0.387932i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 6.51582 | + | 8.86251i | 0.223886 | + | 0.304520i | ||||
\(848\) | − | 2.54257i | − | 0.0873123i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.80430 | + | 11.7084i | 0.130486 | + | 0.401596i | ||||
\(851\) | 0.121419 | + | 0.0394513i | 0.00416218 | + | 0.00135237i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 29.3106 | − | 40.3425i | 1.00357 | − | 1.38130i | 0.0804676 | − | 0.996757i | \(-0.474359\pi\) |
0.923107 | − | 0.384544i | \(-0.125641\pi\) | |||||||
\(854\) | 2.43516 | − | 7.49465i | 0.0833294 | − | 0.256462i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11.3012 | − | 8.21082i | 0.386268 | − | 0.280640i | ||||
\(857\) | −34.7487 | −1.18699 | −0.593497 | − | 0.804836i | \(-0.702253\pi\) | ||||
−0.593497 | + | 0.804836i | \(0.702253\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −4.03723 | −0.137749 | −0.0688743 | − | 0.997625i | \(-0.521941\pi\) | ||||
−0.0688743 | + | 0.997625i | \(0.521941\pi\) | |||||||
\(860\) | −9.49226 | + | 6.89653i | −0.323683 | + | 0.235170i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.24972 | − | 13.0793i | 0.144746 | − | 0.445482i | ||||
\(863\) | 11.2303 | − | 15.4572i | 0.382284 | − | 0.526169i | −0.573904 | − | 0.818923i | \(-0.694572\pi\) |
0.956188 | + | 0.292754i | \(0.0945716\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −24.7269 | − | 8.03426i | −0.840740 | − | 0.273173i | ||||
\(866\) | −2.33873 | − | 7.19786i | −0.0794731 | − | 0.244593i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | − | 6.84506i | − | 0.232337i | ||||||
\(869\) | 6.56766 | − | 2.15449i | 0.222793 | − | 0.0730862i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.31326 | − | 1.80755i | −0.0444982 | − | 0.0612466i | ||||
\(872\) | −13.0181 | + | 4.22984i | −0.440849 | + | 0.143240i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.36770 | + | 2.44678i | 0.113914 | + | 0.0827635i | ||||
\(875\) | 9.64081 | + | 7.00446i | 0.325919 | + | 0.236794i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −7.85467 | + | 2.55214i | −0.265234 | + | 0.0861796i | −0.438615 | − | 0.898675i | \(-0.644531\pi\) |
0.173381 | + | 0.984855i | \(0.444531\pi\) | |||||||
\(878\) | 10.5661 | + | 14.5430i | 0.356588 | + | 0.490802i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.0150432 | + | 5.32495i | 0.000507105 | + | 0.179504i | ||||
\(881\) | 23.6691i | 0.797434i | 0.917074 | + | 0.398717i | \(0.130544\pi\) | ||||
−0.917074 | + | 0.398717i | \(0.869456\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 16.4965 | + | 50.7709i | 0.555150 | + | 1.70858i | 0.695547 | + | 0.718481i | \(0.255162\pi\) |
−0.140397 | + | 0.990095i | \(0.544838\pi\) | |||||||
\(884\) | −10.0447 | − | 3.26372i | −0.337839 | − | 0.109771i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.9650 | + | 26.1031i | −0.637141 | + | 0.876950i | ||||
\(887\) | −10.9917 | + | 33.8289i | −0.369064 | + | 1.13586i | 0.578333 | + | 0.815801i | \(0.303704\pi\) |
−0.947397 | + | 0.320062i | \(0.896296\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.9490 | + | 10.8611i | −0.501373 | + | 0.364269i | ||||
\(890\) | 2.82751 | 0.0947785 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.42446 | 0.148142 | ||||||||
\(893\) | 15.7401 | − | 11.4359i | 0.526722 | − | 0.382686i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.91147 | + | 24.3490i | −0.264451 | + | 0.813897i | ||||
\(896\) | 0.587785 | − | 0.809017i | 0.0196365 | − | 0.0270274i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −4.27898 | − | 1.39032i | −0.142791 | − | 0.0463957i | ||||
\(899\) | −1.93045 | − | 5.94132i | −0.0643842 | − | 0.198154i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.9225i | 0.430512i | ||||||||
\(902\) | −3.71895 | + | 2.71806i | −0.123827 | + | 0.0905015i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −5.08790 | − | 7.00289i | −0.169221 | − | 0.232913i | ||||
\(905\) | −0.0947891 | + | 0.0307988i | −0.00315090 | + | 0.00102379i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.90705 | − | 2.11209i | −0.0965270 | − | 0.0701309i | 0.538475 | − | 0.842642i | \(-0.319001\pi\) |
−0.635002 | + | 0.772511i | \(0.719001\pi\) | |||||||
\(908\) | 23.9996 | + | 17.4367i | 0.796454 | + | 0.578658i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.17309 | + | 1.03100i | −0.105187 | + | 0.0341773i | ||||
\(911\) | 19.8449 | + | 27.3141i | 0.657490 | + | 0.904957i | 0.999395 | − | 0.0347774i | \(-0.0110722\pi\) |
−0.341905 | + | 0.939734i | \(0.611072\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.15609 | + | 6.69189i | −0.303022 | + | 0.221469i | ||||
\(914\) | 33.9477i | 1.12289i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.37840 | − | 16.5530i | −0.177707 | − | 0.546927i | ||||
\(917\) | 4.48034 | + | 1.45575i | 0.147954 | + | 0.0480732i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4.21408 | + | 5.80018i | −0.139010 | + | 0.191330i | −0.872846 | − | 0.487996i | \(-0.837728\pi\) |
0.733836 | + | 0.679327i | \(0.237728\pi\) | |||||||
\(920\) | 0.283378 | − | 0.872147i | 0.00934268 | − | 0.0287538i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 13.5573 | − | 9.84998i | 0.446487 | − | 0.324392i | ||||
\(923\) | −5.66334 | −0.186411 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.541420 | −0.0178018 | ||||||||
\(926\) | 1.76823 | − | 1.28470i | 0.0581078 | − | 0.0422178i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.282021 | − | 0.867972i | 0.00925780 | − | 0.0284926i | ||||
\(929\) | 4.89101 | − | 6.73190i | 0.160469 | − | 0.220866i | −0.721210 | − | 0.692717i | \(-0.756414\pi\) |
0.881679 | + | 0.471850i | \(0.156414\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.93138 | − | 2.25214i | −0.227167 | − | 0.0738109i | ||||
\(932\) | −4.43273 | − | 13.6426i | −0.145199 | − | 0.446877i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 27.1217i | 0.887449i | ||||||||
\(935\) | −0.0764563 | − | 27.0638i | −0.00250039 | − | 0.885082i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29.1895 | − | 40.1759i | −0.953579 | − | 1.31249i | −0.949919 | − | 0.312495i | \(-0.898835\pi\) |
−0.00365967 | − | 0.999993i | \(-0.501165\pi\) | |||||||
\(938\) | −1.02255 | + | 0.332246i | −0.0333874 | + | 0.0108482i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.46749 | − | 2.51928i | −0.113097 | − | 0.0821698i | ||||
\(941\) | −41.2711 | − | 29.9852i | −1.34540 | − | 0.977490i | −0.999227 | − | 0.0393198i | \(-0.987481\pi\) |
−0.346173 | − | 0.938171i | \(-0.612519\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.754448 | − | 0.245135i | 0.0245682 | − | 0.00798269i | ||||
\(944\) | −1.56554 | − | 2.15478i | −0.0509540 | − | 0.0701322i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −23.0300 | + | 7.55489i | −0.748769 | + | 0.245631i | ||||
\(947\) | 38.0125i | 1.23524i | 0.786477 | + | 0.617620i | \(0.211903\pi\) | ||||
−0.786477 | + | 0.617620i | \(0.788097\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.69188 | + | 17.5178i | 0.184766 | + | 0.568652i | ||||
\(950\) | −16.7895 | − | 5.45524i | −0.544723 | − | 0.176991i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.98740 | + | 4.11180i | −0.0968221 | + | 0.133264i | ||||
\(953\) | 12.1404 | − | 37.3644i | 0.393267 | − | 1.21035i | −0.537035 | − | 0.843560i | \(-0.680456\pi\) |
0.930303 | − | 0.366793i | \(-0.119544\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.34668 | − | 2.43150i | 0.108296 | − | 0.0786816i | ||||
\(956\) | −22.8535 | −0.739136 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 18.3969 | 0.594376 | ||||||||
\(959\) | 3.02706 | − | 2.19929i | 0.0977488 | − | 0.0710187i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 4.89942 | − | 15.0789i | 0.158046 | − | 0.486415i | ||||
\(962\) | 0.273018 | − | 0.375777i | 0.00880244 | − | 0.0121155i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.16974 | + | 2.00467i | 0.198714 | + | 0.0645660i | ||||
\(965\) | 10.1146 | + | 31.1295i | 0.325601 | + | 1.00210i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 34.4093i | − | 1.10653i | −0.833005 | − | 0.553265i | \(-0.813382\pi\) | ||
0.833005 | − | 0.553265i | \(-0.186618\pi\) | |||||||
\(968\) | −3.34002 | + | 10.4807i | −0.107352 | + | 0.336861i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 6.36225 | + | 8.75689i | 0.204280 | + | 0.281167i | ||||
\(971\) | 23.3026 | − | 7.57148i | 0.747816 | − | 0.242980i | 0.0897751 | − | 0.995962i | \(-0.471385\pi\) |
0.658041 | + | 0.752982i | \(0.271385\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.0351 | + | 8.01748i | 0.353769 | + | 0.257028i | ||||
\(974\) | 0.514133 | + | 0.373539i | 0.0164739 | + | 0.0119690i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.49465 | − | 2.43516i | 0.239898 | − | 0.0779476i | ||||
\(977\) | −32.2052 | − | 44.3266i | −1.03033 | − | 1.41813i | −0.904696 | − | 0.426058i | \(-0.859902\pi\) |
−0.125638 | − | 0.992076i | \(-0.540098\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.56011 | + | 1.78924i | 0.177702 | + | 0.0571844i | ||||
\(980\) | 1.60554i | 0.0512870i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −8.69472 | − | 26.7596i | −0.277460 | − | 0.853933i | ||||
\(983\) | −2.39431 | − | 0.777960i | −0.0763668 | − | 0.0248131i | 0.270584 | − | 0.962696i | \(-0.412783\pi\) |
−0.346951 | + | 0.937883i | \(0.612783\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 20.3352 | − | 27.9890i | 0.647934 | − | 0.891804i | ||||
\(986\) | −1.43336 | + | 4.41143i | −0.0456475 | + | 0.140489i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 12.2526 | − | 8.90200i | 0.389806 | − | 0.283210i | ||||
\(989\) | 4.17401 | 0.132726 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −5.02938 | −0.159764 | −0.0798818 | − | 0.996804i | \(-0.525454\pi\) | ||||
−0.0798818 | + | 0.996804i | \(0.525454\pi\) | |||||||
\(992\) | 5.53777 | − | 4.02343i | 0.175824 | − | 0.127744i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.842169 | + | 2.59193i | −0.0267120 | + | 0.0822110i | ||||
\(995\) | 4.64840 | − | 6.39797i | 0.147364 | − | 0.202829i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.00314762 | + | 0.00102272i | 9.96861e−5 | + | 3.23900e-5i | 0.309067 | − | 0.951040i | \(-0.399983\pi\) |
−0.308967 | + | 0.951073i | \(0.599983\pi\) | |||||||
\(998\) | −4.34898 | − | 13.3848i | −0.137664 | − | 0.423688i | ||||
\(999\) | 0 | 0 |
(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 | 1386.2.bu.b.701.5 | yes | 48 | |
3.2 | odd | 2 | 1386.2.bu.a.701.8 | ✓ | 48 | ||
11.7 | odd | 10 | 1386.2.bu.a.953.8 | yes | 48 | ||
33.29 | even | 10 | inner | 1386.2.bu.b.953.5 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.bu.a.701.8 | ✓ | 48 | 3.2 | odd | 2 | ||
1386.2.bu.a.953.8 | yes | 48 | 11.7 | odd | 10 | ||
1386.2.bu.b.701.5 | yes | 48 | 1.1 | even | 1 | trivial | |
1386.2.bu.b.953.5 | yes | 48 | 33.29 | even | 10 | inner |