Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [702,2,Mod(71,702)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(702, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("702.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 702 = 2 \cdot 3^{3} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 702.bb (of order \(12\), degree \(4\), not 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: | \(5.60549822189\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 234) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 71.11 | ||
Character | \(\chi\) | \(=\) | 702.71 |
Dual form | 702.2.bb.a.89.11 |
$q$-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 \(\left(\mathbb{Z}/702\mathbb{Z}\right)^\times\).
\(n\) | \(379\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | −0.653109 | + | 0.175000i | −0.292079 | + | 0.0782624i | −0.401883 | − | 0.915691i | \(-0.631644\pi\) |
0.109804 | + | 0.993953i | \(0.464978\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.90017 | + | 1.04505i | −1.47412 | + | 0.394991i | −0.904343 | − | 0.426806i | \(-0.859639\pi\) |
−0.569781 | + | 0.821796i | \(0.692972\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.585562 | − | 0.338074i | −0.185171 | − | 0.106908i | ||||
\(11\) | 0.502310 | − | 0.502310i | 0.151452 | − | 0.151452i | −0.627314 | − | 0.778766i | \(-0.715846\pi\) |
0.778766 | + | 0.627314i | \(0.215846\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.29871 | + | 2.77775i | −0.637548 | + | 0.770410i | ||||
\(14\) | −3.49679 | − | 2.01888i | −0.934558 | − | 0.539567i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −3.24443 | − | 5.61952i | −0.786890 | − | 1.36293i | −0.927863 | − | 0.372920i | \(-0.878356\pi\) |
0.140973 | − | 0.990013i | \(-0.454977\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.253608 | − | 0.0679541i | −0.0581817 | − | 0.0155897i | 0.229611 | − | 0.973283i | \(-0.426255\pi\) |
−0.287792 | + | 0.957693i | \(0.592921\pi\) | |||||||
\(20\) | −0.175000 | − | 0.653109i | −0.0391312 | − | 0.146040i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.710373 | 0.151452 | ||||||||
\(23\) | −0.860504 | − | 1.49044i | −0.179427 | − | 0.310777i | 0.762257 | − | 0.647274i | \(-0.224091\pi\) |
−0.941685 | + | 0.336497i | \(0.890758\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.93420 | + | 2.27141i | −0.786840 | + | 0.454282i | ||||
\(26\) | −3.58960 | + | 0.338733i | −0.703979 | + | 0.0664310i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.04505 | − | 3.90017i | −0.197495 | − | 0.737062i | ||||
\(29\) | − | 1.28654i | − | 0.238904i | −0.992840 | − | 0.119452i | \(-0.961886\pi\) | ||
0.992840 | − | 0.119452i | \(-0.0381138\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.04468 | + | 3.89881i | 0.187630 | + | 0.700246i | 0.994052 | + | 0.108905i | \(0.0347346\pi\) |
−0.806422 | + | 0.591341i | \(0.798599\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.67944 | − | 6.26776i | 0.288022 | − | 1.07491i | ||||
\(35\) | 2.36435 | − | 1.36506i | 0.399648 | − | 0.230737i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.96159 | + | 2.13330i | −1.30888 | + | 0.350713i | −0.844800 | − | 0.535082i | \(-0.820281\pi\) |
−0.464077 | + | 0.885795i | \(0.653614\pi\) | |||||||
\(38\) | −0.131277 | − | 0.227379i | −0.0212960 | − | 0.0368857i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.338074 | − | 0.585562i | 0.0534542 | − | 0.0925854i | ||||
\(41\) | −2.39802 | + | 8.94954i | −0.374508 | + | 1.39768i | 0.479554 | + | 0.877512i | \(0.340798\pi\) |
−0.854062 | + | 0.520171i | \(0.825868\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.67915 | − | 3.27886i | −0.866062 | − | 0.500021i | −2.44809e−5 | − | 1.00000i | \(-0.500008\pi\) |
−0.866038 | + | 0.499979i | \(0.833341\pi\) | |||||||
\(44\) | 0.502310 | + | 0.502310i | 0.0757261 | + | 0.0757261i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.445430 | − | 1.66237i | 0.0656750 | − | 0.245102i | ||||
\(47\) | 9.07214 | + | 2.43087i | 1.32331 | + | 0.354579i | 0.850216 | − | 0.526434i | \(-0.176471\pi\) |
0.473092 | + | 0.881013i | \(0.343138\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 8.05701 | − | 4.65172i | 1.15100 | − | 0.664531i | ||||
\(50\) | −4.38803 | − | 1.17577i | −0.620561 | − | 0.166279i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.77775 | − | 2.29871i | −0.385205 | − | 0.318774i | ||||
\(53\) | 6.34328i | 0.871317i | 0.900112 | + | 0.435658i | \(0.143484\pi\) | ||||
−0.900112 | + | 0.435658i | \(0.856516\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.240159 | + | 0.415967i | −0.0323830 | + | 0.0560890i | ||||
\(56\) | 2.01888 | − | 3.49679i | 0.269784 | − | 0.467279i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.909720 | − | 0.909720i | 0.119452 | − | 0.119452i | ||||
\(59\) | 3.52351 | − | 3.52351i | 0.458722 | − | 0.458722i | −0.439514 | − | 0.898236i | \(-0.644849\pi\) |
0.898236 | + | 0.439514i | \(0.144849\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.64932 | + | 2.85670i | −0.211173 | + | 0.365763i | −0.952082 | − | 0.305843i | \(-0.901062\pi\) |
0.740909 | + | 0.671606i | \(0.234395\pi\) | |||||||
\(62\) | −2.01817 | + | 3.49557i | −0.256308 | + | 0.443938i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 1.01520 | − | 2.21645i | 0.125921 | − | 0.274917i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.0909 | + | 2.70385i | 1.23280 | + | 0.330327i | 0.815669 | − | 0.578520i | \(-0.196369\pi\) |
0.417130 | + | 0.908847i | \(0.363036\pi\) | |||||||
\(68\) | 5.61952 | − | 3.24443i | 0.681467 | − | 0.393445i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.63709 | + | 0.706607i | 0.315193 | + | 0.0844556i | ||||
\(71\) | 2.09577 | − | 7.82153i | 0.248722 | − | 0.928245i | −0.722753 | − | 0.691106i | \(-0.757124\pi\) |
0.971476 | − | 0.237139i | \(-0.0762096\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.40415 | − | 1.40415i | −0.164343 | − | 0.164343i | 0.620145 | − | 0.784488i | \(-0.287074\pi\) |
−0.784488 | + | 0.620145i | \(0.787074\pi\) | |||||||
\(74\) | −7.13817 | − | 4.12122i | −0.829795 | − | 0.479082i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.0679541 | − | 0.253608i | 0.00779487 | − | 0.0290909i | ||||
\(77\) | −1.43416 | + | 2.48403i | −0.163437 | + | 0.283081i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.29283 | + | 12.6316i | 0.820507 | + | 1.42116i | 0.905305 | + | 0.424762i | \(0.139642\pi\) |
−0.0847976 | + | 0.996398i | \(0.527024\pi\) | |||||||
\(80\) | 0.653109 | − | 0.175000i | 0.0730198 | − | 0.0195656i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.02394 | + | 4.63262i | −0.886096 | + | 0.511588i | ||||
\(83\) | −1.04760 | + | 3.90968i | −0.114989 | + | 0.429144i | −0.999286 | − | 0.0377806i | \(-0.987971\pi\) |
0.884297 | + | 0.466924i | \(0.154638\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.10238 | + | 3.10238i | 0.336501 | + | 0.336501i | ||||
\(86\) | −1.69726 | − | 6.33427i | −0.183020 | − | 0.683042i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.710373i | 0.0757261i | ||||||||
\(89\) | 2.64065 | + | 9.85503i | 0.279908 | + | 1.04463i | 0.952481 | + | 0.304600i | \(0.0985226\pi\) |
−0.672573 | + | 0.740031i | \(0.734811\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.06248 | − | 13.2360i | 0.635521 | − | 1.38751i | ||||
\(92\) | 1.49044 | − | 0.860504i | 0.155389 | − | 0.0897137i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.69609 | + | 8.13386i | 0.484364 | + | 0.838944i | ||||
\(95\) | 0.177526 | 0.0182138 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.520942 | + | 1.94418i | 0.0528937 | + | 0.197402i | 0.987317 | − | 0.158763i | \(-0.0507507\pi\) |
−0.934423 | + | 0.356165i | \(0.884084\pi\) | |||||||
\(98\) | 8.98642 | + | 2.40791i | 0.907766 | + | 0.243235i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.27141 | − | 3.93420i | −0.227141 | − | 0.393420i | ||||
\(101\) | −14.5201 | −1.44481 | −0.722404 | − | 0.691472i | \(-0.756963\pi\) | ||||
−0.722404 | + | 0.691472i | \(0.756963\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −16.7121 | − | 9.64874i | −1.64669 | − | 0.950719i | −0.978374 | − | 0.206844i | \(-0.933681\pi\) |
−0.668319 | − | 0.743874i | \(-0.732986\pi\) | |||||||
\(104\) | −0.338733 | − | 3.58960i | −0.0332155 | − | 0.351990i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.48538 | + | 4.48538i | −0.435658 | + | 0.435658i | ||||
\(107\) | −11.5211 | − | 6.65169i | −1.11378 | − | 0.643043i | −0.173977 | − | 0.984750i | \(-0.555662\pi\) |
−0.939807 | + | 0.341706i | \(0.888995\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.63616 | − | 7.63616i | 0.731412 | − | 0.731412i | −0.239488 | − | 0.970899i | \(-0.576979\pi\) |
0.970899 | + | 0.239488i | \(0.0769794\pi\) | |||||||
\(110\) | −0.463951 | + | 0.124315i | −0.0442360 | + | 0.0118530i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.90017 | − | 1.04505i | 0.368531 | − | 0.0987476i | ||||
\(113\) | − | 15.2122i | − | 1.43105i | −0.698588 | − | 0.715524i | \(-0.746188\pi\) | ||
0.698588 | − | 0.715524i | \(-0.253812\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.822829 | + | 0.822829i | 0.0767292 | + | 0.0767292i | ||||
\(116\) | 1.28654 | 0.119452 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.98300 | 0.458722 | ||||||||
\(119\) | 18.5265 | + | 18.5265i | 1.69832 | + | 1.69832i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.4954i | 0.954125i | ||||||||
\(122\) | −3.18623 | + | 0.853749i | −0.288468 | + | 0.0772948i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.89881 | + | 1.04468i | −0.350123 | + | 0.0938152i | ||||
\(125\) | 4.56251 | − | 4.56251i | 0.408083 | − | 0.408083i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.8933 | + | 9.75334i | 1.49904 | + | 0.865469i | 0.999999 | − | 0.00111133i | \(-0.000353747\pi\) |
0.499037 | + | 0.866581i | \(0.333687\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.28513 | − | 0.849411i | 0.200419 | − | 0.0744982i | ||||
\(131\) | 4.87564 | + | 2.81495i | 0.425986 | + | 0.245943i | 0.697635 | − | 0.716453i | \(-0.254236\pi\) |
−0.271649 | + | 0.962396i | \(0.587569\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.06013 | 0.0919249 | ||||||||
\(134\) | 5.22343 | + | 9.04724i | 0.451236 | + | 0.781563i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.26776 | + | 1.67944i | 0.537456 | + | 0.144011i | ||||
\(137\) | −3.04445 | − | 11.3621i | −0.260105 | − | 0.970726i | −0.965179 | − | 0.261592i | \(-0.915753\pi\) |
0.705073 | − | 0.709134i | \(-0.250914\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.96212 | 0.251244 | 0.125622 | − | 0.992078i | \(-0.459907\pi\) | ||||
0.125622 | + | 0.992078i | \(0.459907\pi\) | |||||||
\(140\) | 1.36506 | + | 2.36435i | 0.115369 | + | 0.199824i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 7.01259 | − | 4.04872i | 0.588484 | − | 0.339761i | ||||
\(143\) | 0.240627 | + | 2.54996i | 0.0201222 | + | 0.213238i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.225144 | + | 0.840250i | 0.0186972 | + | 0.0697790i | ||||
\(146\) | − | 1.98576i | − | 0.164343i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.13330 | − | 7.96159i | −0.175356 | − | 0.654439i | ||||
\(149\) | 16.4140 | + | 16.4140i | 1.34469 | + | 1.34469i | 0.891329 | + | 0.453358i | \(0.149774\pi\) |
0.453358 | + | 0.891329i | \(0.350226\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.78383 | + | 6.65733i | −0.145166 | + | 0.541766i | 0.854582 | + | 0.519316i | \(0.173813\pi\) |
−0.999748 | + | 0.0224496i | \(0.992853\pi\) | |||||||
\(152\) | 0.227379 | − | 0.131277i | 0.0184429 | − | 0.0106480i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.77058 | + | 0.742373i | −0.223259 | + | 0.0598222i | ||||
\(155\) | −1.36458 | − | 2.36353i | −0.109606 | − | 0.189843i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.48299 | + | 9.49681i | −0.437590 | + | 0.757928i | −0.997503 | − | 0.0706232i | \(-0.977501\pi\) |
0.559913 | + | 0.828551i | \(0.310835\pi\) | |||||||
\(158\) | −3.77505 | + | 14.0887i | −0.300327 | + | 1.12083i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.585562 | + | 0.338074i | 0.0462927 | + | 0.0267271i | ||||
\(161\) | 4.91369 | + | 4.91369i | 0.387253 | + | 0.387253i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.31255 | − | 12.3626i | 0.259459 | − | 0.968315i | −0.706096 | − | 0.708116i | \(-0.749545\pi\) |
0.965555 | − | 0.260198i | \(-0.0837880\pi\) | |||||||
\(164\) | −8.94954 | − | 2.39802i | −0.698842 | − | 0.187254i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.50533 | + | 2.02380i | −0.272066 | + | 0.157077i | ||||
\(167\) | 0.811408 | + | 0.217416i | 0.0627886 | + | 0.0168242i | 0.290077 | − | 0.957003i | \(-0.406319\pi\) |
−0.227288 | + | 0.973828i | \(0.572986\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.43183 | − | 12.7705i | −0.187064 | − | 0.982348i | ||||
\(170\) | 4.38743i | 0.336501i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.27886 | − | 5.67915i | 0.250011 | − | 0.433031i | ||||
\(173\) | −10.6585 | + | 18.4610i | −0.810349 | + | 1.40356i | 0.102272 | + | 0.994757i | \(0.467389\pi\) |
−0.912620 | + | 0.408808i | \(0.865944\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 12.9703 | − | 12.9703i | 0.980463 | − | 0.980463i | ||||
\(176\) | −0.502310 | + | 0.502310i | −0.0378630 | + | 0.0378630i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −5.10134 | + | 8.83578i | −0.382361 | + | 0.662269i | ||||
\(179\) | −0.120767 | + | 0.209175i | −0.00902656 | + | 0.0156345i | −0.870503 | − | 0.492162i | \(-0.836207\pi\) |
0.861477 | + | 0.507797i | \(0.169540\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.73952i | 0.129298i | 0.997908 | + | 0.0646488i | \(0.0205927\pi\) | ||||
−0.997908 | + | 0.0646488i | \(0.979407\pi\) | |||||||
\(182\) | 13.6461 | − | 5.07242i | 1.01151 | − | 0.375993i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.66237 | + | 0.445430i | 0.122551 | + | 0.0328375i | ||||
\(185\) | 4.82646 | − | 2.78656i | 0.354848 | − | 0.204872i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.45245 | − | 1.19303i | −0.325595 | − | 0.0872430i | ||||
\(188\) | −2.43087 | + | 9.07214i | −0.177290 | + | 0.661654i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.125530 | + | 0.125530i | 0.00910688 | + | 0.00910688i | ||||
\(191\) | −7.31652 | − | 4.22419i | −0.529404 | − | 0.305652i | 0.211369 | − | 0.977406i | \(-0.432208\pi\) |
−0.740774 | + | 0.671754i | \(0.765541\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.0138895 | − | 0.0518362i | 0.000999786 | − | 0.00373125i | −0.965424 | − | 0.260684i | \(-0.916052\pi\) |
0.966424 | + | 0.256953i | \(0.0827185\pi\) | |||||||
\(194\) | −1.00638 | + | 1.74311i | −0.0722541 | + | 0.125148i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.65172 | + | 8.05701i | 0.332265 | + | 0.575501i | ||||
\(197\) | −2.56942 | + | 0.688475i | −0.183064 | + | 0.0490518i | −0.349186 | − | 0.937053i | \(-0.613542\pi\) |
0.166122 | + | 0.986105i | \(0.446875\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.51087 | + | 0.872302i | −0.107103 | + | 0.0618359i | −0.552595 | − | 0.833450i | \(-0.686362\pi\) |
0.445492 | + | 0.895286i | \(0.353029\pi\) | |||||||
\(200\) | 1.17577 | − | 4.38803i | 0.0831394 | − | 0.310281i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −10.2673 | − | 10.2673i | −0.722404 | − | 0.722404i | ||||
\(203\) | 1.34449 | + | 5.01771i | 0.0943649 | + | 0.352175i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | − | 6.26468i | − | 0.437544i | ||||||
\(206\) | −4.99456 | − | 18.6399i | −0.347987 | − | 1.29871i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.29871 | − | 2.77775i | 0.159387 | − | 0.192603i | ||||
\(209\) | −0.161524 | + | 0.0932559i | −0.0111728 | + | 0.00645064i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.651117 | + | 1.12777i | 0.0448248 | + | 0.0776388i | 0.887567 | − | 0.460678i | \(-0.152394\pi\) |
−0.842743 | + | 0.538317i | \(0.819060\pi\) | |||||||
\(212\) | −6.34328 | −0.435658 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −3.44317 | − | 12.8501i | −0.235370 | − | 0.878414i | ||||
\(215\) | 4.28290 | + | 1.14760i | 0.292092 | + | 0.0782657i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.14887 | − | 14.1143i | −0.553181 | − | 0.958138i | ||||
\(218\) | 10.7992 | 0.731412 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.415967 | − | 0.240159i | −0.0280445 | − | 0.0161915i | ||||
\(221\) | 23.0677 | + | 3.90543i | 1.55170 | + | 0.262708i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.4964 | + | 13.4964i | −0.903785 | + | 0.903785i | −0.995761 | − | 0.0919766i | \(-0.970682\pi\) |
0.0919766 | + | 0.995761i | \(0.470682\pi\) | |||||||
\(224\) | 3.49679 | + | 2.01888i | 0.233639 | + | 0.134892i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.7567 | − | 10.7567i | 0.715524 | − | 0.715524i | ||||
\(227\) | −15.8751 | + | 4.25372i | −1.05367 | + | 0.282329i | −0.743766 | − | 0.668440i | \(-0.766963\pi\) |
−0.309901 | + | 0.950769i | \(0.600296\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.1402 | + | 3.52092i | −0.868332 | + | 0.232669i | −0.665366 | − | 0.746517i | \(-0.731725\pi\) |
−0.202965 | + | 0.979186i | \(0.565058\pi\) | |||||||
\(230\) | 1.16366i | 0.0767292i | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.909720 | + | 0.909720i | 0.0597260 | + | 0.0597260i | ||||
\(233\) | −3.89618 | −0.255247 | −0.127623 | − | 0.991823i | \(-0.540735\pi\) | ||||
−0.127623 | + | 0.991823i | \(0.540735\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.35050 | −0.414261 | ||||||||
\(236\) | 3.52351 | + | 3.52351i | 0.229361 | + | 0.229361i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 26.2004i | 1.69832i | ||||||||
\(239\) | −1.52259 | + | 0.407977i | −0.0984882 | + | 0.0263898i | −0.307727 | − | 0.951475i | \(-0.599568\pi\) |
0.209238 | + | 0.977865i | \(0.432902\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.98879 | + | 1.33674i | −0.321356 | + | 0.0861071i | −0.415891 | − | 0.909414i | \(-0.636530\pi\) |
0.0945350 | + | 0.995522i | \(0.469864\pi\) | |||||||
\(242\) | −7.42135 | + | 7.42135i | −0.477062 | + | 0.477062i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.85670 | − | 1.64932i | −0.182881 | − | 0.105587i | ||||
\(245\) | −4.44806 | + | 4.44806i | −0.284176 | + | 0.284176i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.771732 | − | 0.548254i | 0.0491042 | − | 0.0348846i | ||||
\(248\) | −3.49557 | − | 2.01817i | −0.221969 | − | 0.128154i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.45236 | 0.408083 | ||||||||
\(251\) | −3.50515 | − | 6.07109i | −0.221243 | − | 0.383204i | 0.733943 | − | 0.679211i | \(-0.237678\pi\) |
−0.955186 | + | 0.296007i | \(0.904345\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.18090 | − | 0.316421i | −0.0742426 | − | 0.0198932i | ||||
\(254\) | 5.04870 | + | 18.8420i | 0.316784 | + | 1.18225i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −1.89609 | − | 3.28412i | −0.118275 | − | 0.204858i | 0.800809 | − | 0.598919i | \(-0.204403\pi\) |
−0.919084 | + | 0.394062i | \(0.871070\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 28.8221 | − | 16.6405i | 1.79092 | − | 1.03399i | ||||
\(260\) | 2.21645 | + | 1.01520i | 0.137458 | + | 0.0629603i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.45713 | + | 5.43807i | 0.0900215 | + | 0.335965i | ||||
\(263\) | − | 8.35425i | − | 0.515145i | −0.966259 | − | 0.257573i | \(-0.917077\pi\) | ||
0.966259 | − | 0.257573i | \(-0.0829226\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.11007 | − | 4.14286i | −0.0681914 | − | 0.254494i | ||||
\(266\) | 0.749625 | + | 0.749625i | 0.0459625 | + | 0.0459625i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.70385 | + | 10.0909i | −0.165164 | + | 0.616399i | ||||
\(269\) | −3.60032 | + | 2.07864i | −0.219515 | + | 0.126737i | −0.605726 | − | 0.795674i | \(-0.707117\pi\) |
0.386211 | + | 0.922411i | \(0.373784\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.1972 | + | 5.41182i | −1.22689 | + | 0.328745i | −0.813368 | − | 0.581749i | \(-0.802369\pi\) |
−0.413523 | + | 0.910494i | \(0.635702\pi\) | |||||||
\(272\) | 3.24443 | + | 5.61952i | 0.196723 | + | 0.340733i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.88143 | − | 10.1869i | 0.355310 | − | 0.615416i | ||||
\(275\) | −0.835235 | + | 3.11714i | −0.0503666 | + | 0.187971i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.1496 | + | 7.59192i | 0.790082 | + | 0.456154i | 0.839991 | − | 0.542600i | \(-0.182560\pi\) |
−0.0499093 | + | 0.998754i | \(0.515893\pi\) | |||||||
\(278\) | 2.09454 | + | 2.09454i | 0.125622 | + | 0.125622i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.706607 | + | 2.63709i | −0.0422278 | + | 0.157596i | ||||
\(281\) | −29.2088 | − | 7.82648i | −1.74245 | − | 0.466889i | −0.759463 | − | 0.650550i | \(-0.774538\pi\) |
−0.982990 | + | 0.183662i | \(0.941205\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 17.0472 | − | 9.84221i | 1.01335 | − | 0.585059i | 0.101180 | − | 0.994868i | \(-0.467738\pi\) |
0.912171 | + | 0.409810i | \(0.134405\pi\) | |||||||
\(284\) | 7.82153 | + | 2.09577i | 0.464122 | + | 0.124361i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −1.63294 | + | 1.97324i | −0.0965580 | + | 0.116680i | ||||
\(287\) | − | 37.4107i | − | 2.20829i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.5527 | + | 21.7419i | −0.738393 | + | 1.27893i | ||||
\(290\) | −0.434945 | + | 0.753347i | −0.0255409 | + | 0.0442381i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.40415 | − | 1.40415i | 0.0821715 | − | 0.0821715i | ||||
\(293\) | −7.02611 | + | 7.02611i | −0.410470 | + | 0.410470i | −0.881902 | − | 0.471433i | \(-0.843737\pi\) |
0.471433 | + | 0.881902i | \(0.343737\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.68462 | + | 2.91785i | −0.0980825 | + | 0.169884i | ||||
\(296\) | 4.12122 | − | 7.13817i | 0.239541 | − | 0.414897i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 23.2129i | 1.34469i | ||||||||
\(299\) | 6.11812 | + | 1.03582i | 0.353820 | + | 0.0599029i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 25.5762 | + | 6.85312i | 1.47419 | + | 0.395007i | ||||
\(302\) | −5.96880 | + | 3.44609i | −0.343466 | + | 0.198300i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.253608 | + | 0.0679541i | 0.0145454 | + | 0.00389744i | ||||
\(305\) | 0.577261 | − | 2.15437i | 0.0330539 | − | 0.123359i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.4825 | + | 14.4825i | 0.826560 | + | 0.826560i | 0.987039 | − | 0.160479i | \(-0.0513040\pi\) |
−0.160479 | + | 0.987039i | \(0.551304\pi\) | |||||||
\(308\) | −2.48403 | − | 1.43416i | −0.141541 | − | 0.0817186i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.706360 | − | 2.63617i | 0.0401186 | − | 0.149724i | ||||
\(311\) | 11.3091 | − | 19.5879i | 0.641281 | − | 1.11073i | −0.343866 | − | 0.939019i | \(-0.611737\pi\) |
0.985147 | − | 0.171712i | \(-0.0549299\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.43419 | − | 16.3405i | −0.533252 | − | 0.923619i | −0.999246 | − | 0.0388313i | \(-0.987636\pi\) |
0.465994 | − | 0.884788i | \(-0.345697\pi\) | |||||||
\(314\) | −10.5923 | + | 2.83820i | −0.597759 | + | 0.160169i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −12.6316 | + | 7.29283i | −0.710580 | + | 0.410254i | ||||
\(317\) | 4.92071 | − | 18.3643i | 0.276375 | − | 1.03144i | −0.678540 | − | 0.734563i | \(-0.737387\pi\) |
0.954915 | − | 0.296881i | \(-0.0959463\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.646241 | − | 0.646241i | −0.0361825 | − | 0.0361825i | ||||
\(320\) | 0.175000 | + | 0.653109i | 0.00978280 | + | 0.0365099i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.94900i | 0.387253i | ||||||||
\(323\) | 0.440945 | + | 1.64563i | 0.0245348 | + | 0.0915652i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.73418 | − | 16.1496i | 0.151665 | − | 0.895817i | ||||
\(326\) | 11.0840 | − | 6.39936i | 0.613887 | − | 0.354428i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.63262 | − | 8.02394i | −0.255794 | − | 0.443048i | ||||
\(329\) | −37.9233 | −2.09078 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.85161 | − | 25.5705i | −0.376598 | − | 1.40548i | −0.850995 | − | 0.525173i | \(-0.824001\pi\) |
0.474397 | − | 0.880311i | \(-0.342666\pi\) | |||||||
\(332\) | −3.90968 | − | 1.04760i | −0.214572 | − | 0.0574943i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.420016 | + | 0.727488i | 0.0229822 | + | 0.0398064i | ||||
\(335\) | −7.06363 | −0.385927 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.6500 | − | 11.3449i | −1.07040 | − | 0.617996i | −0.142110 | − | 0.989851i | \(-0.545389\pi\) |
−0.928291 | + | 0.371854i | \(0.878722\pi\) | |||||||
\(338\) | 7.31055 | − | 10.7497i | 0.397642 | − | 0.584706i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −3.10238 | + | 3.10238i | −0.168250 | + | 0.168250i | ||||
\(341\) | 2.48316 | + | 1.43365i | 0.134471 | + | 0.0776368i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.57658 | + | 6.57658i | −0.355102 | + | 0.355102i | ||||
\(344\) | 6.33427 | − | 1.69726i | 0.341521 | − | 0.0915102i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −20.5906 | + | 5.51723i | −1.10696 | + | 0.296608i | ||||
\(347\) | − | 16.6116i | − | 0.891759i | −0.895093 | − | 0.445879i | \(-0.852891\pi\) | ||
0.895093 | − | 0.445879i | \(-0.147109\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.58754 | − | 1.58754i | −0.0849789 | − | 0.0849789i | 0.663340 | − | 0.748318i | \(-0.269139\pi\) |
−0.748318 | + | 0.663340i | \(0.769139\pi\) | |||||||
\(350\) | 18.3428 | 0.980463 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.710373 | −0.0378630 | ||||||||
\(353\) | 6.34497 | + | 6.34497i | 0.337709 | + | 0.337709i | 0.855504 | − | 0.517796i | \(-0.173247\pi\) |
−0.517796 | + | 0.855504i | \(0.673247\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.47507i | 0.290587i | ||||||||
\(356\) | −9.85503 | + | 2.64065i | −0.522315 | + | 0.139954i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.233304 | + | 0.0625136i | −0.0123305 | + | 0.00330395i | ||||
\(359\) | 25.1620 | − | 25.1620i | 1.32800 | − | 1.32800i | 0.420885 | − | 0.907114i | \(-0.361720\pi\) |
0.907114 | − | 0.420885i | \(-0.138280\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.3948 | − | 9.46553i | −0.862883 | − | 0.498186i | ||||
\(362\) | −1.23003 | + | 1.23003i | −0.0646488 | + | 0.0646488i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 13.2360 | + | 6.06248i | 0.693753 | + | 0.317761i | ||||
\(365\) | 1.16279 | + | 0.671335i | 0.0608631 | + | 0.0351393i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 23.1998 | 1.21102 | 0.605509 | − | 0.795839i | \(-0.292970\pi\) | ||||
0.605509 | + | 0.795839i | \(0.292970\pi\) | |||||||
\(368\) | 0.860504 | + | 1.49044i | 0.0448569 | + | 0.0776944i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5.38322 | + | 1.44243i | 0.279860 | + | 0.0749883i | ||||
\(371\) | −6.62903 | − | 24.7399i | −0.344162 | − | 1.28443i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −30.0462 | −1.55573 | −0.777866 | − | 0.628430i | \(-0.783698\pi\) | ||||
−0.777866 | + | 0.628430i | \(0.783698\pi\) | |||||||
\(374\) | −2.30476 | − | 3.99196i | −0.119176 | − | 0.206419i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.13386 | + | 4.69609i | −0.419472 | + | 0.242182i | ||||
\(377\) | 3.57369 | + | 2.95738i | 0.184054 | + | 0.152313i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7.34807 | + | 27.4234i | 0.377445 | + | 1.40864i | 0.849739 | + | 0.527203i | \(0.176759\pi\) |
−0.472294 | + | 0.881441i | \(0.656574\pi\) | |||||||
\(380\) | 0.177526i | 0.00910688i | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.18660 | − | 8.16051i | −0.111876 | − | 0.417528i | ||||
\(383\) | 2.62509 | + | 2.62509i | 0.134136 | + | 0.134136i | 0.770987 | − | 0.636851i | \(-0.219763\pi\) |
−0.636851 | + | 0.770987i | \(0.719763\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.501955 | − | 1.87332i | 0.0255820 | − | 0.0954732i | ||||
\(386\) | 0.0464751 | − | 0.0268324i | 0.00236552 | − | 0.00136573i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.94418 | + | 0.520942i | −0.0987009 | + | 0.0264468i | ||||
\(389\) | −1.01593 | − | 1.75965i | −0.0515099 | − | 0.0892178i | 0.839121 | − | 0.543945i | \(-0.183070\pi\) |
−0.890631 | + | 0.454727i | \(0.849737\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.58369 | + | 9.67124i | −0.282379 | + | 0.489096i | ||||
\(392\) | −2.40791 | + | 8.98642i | −0.121618 | + | 0.453883i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.30368 | − | 1.33003i | −0.116058 | − | 0.0670060i | ||||
\(395\) | −6.97354 | − | 6.97354i | −0.350877 | − | 0.350877i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.23806 | + | 8.35257i | −0.112325 | + | 0.419203i | −0.999073 | − | 0.0430503i | \(-0.986292\pi\) |
0.886748 | + | 0.462254i | \(0.152959\pi\) | |||||||
\(398\) | −1.68516 | − | 0.451537i | −0.0844694 | − | 0.0226335i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.93420 | − | 2.27141i | 0.196710 | − | 0.113571i | ||||
\(401\) | −37.9864 | − | 10.1784i | −1.89695 | − | 0.508286i | −0.997450 | − | 0.0713636i | \(-0.977265\pi\) |
−0.899499 | − | 0.436923i | \(-0.856068\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.2313 | − | 6.06037i | −0.659100 | − | 0.301888i | ||||
\(404\) | − | 14.5201i | − | 0.722404i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.59736 | + | 4.49876i | −0.128905 | + | 0.223270i | ||||
\(407\) | −2.92761 | + | 5.07076i | −0.145116 | + | 0.251348i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.0344 | + | 21.0344i | −1.04008 | + | 1.04008i | −0.0409222 | + | 0.999162i | \(0.513030\pi\) |
−0.999162 | + | 0.0409222i | \(0.986970\pi\) | |||||||
\(410\) | 4.42980 | − | 4.42980i | 0.218772 | − | 0.218772i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 9.64874 | − | 16.7121i | 0.475359 | − | 0.823347i | ||||
\(413\) | −10.0600 | + | 17.4245i | −0.495023 | + | 0.857404i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 2.73678i | − | 0.134343i | ||||||
\(416\) | 3.58960 | − | 0.338733i | 0.175995 | − | 0.0166077i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.180157 | − | 0.0482728i | −0.00881174 | − | 0.00236110i | ||||
\(419\) | 12.1901 | − | 7.03797i | 0.595527 | − | 0.343827i | −0.171753 | − | 0.985140i | \(-0.554943\pi\) |
0.767280 | + | 0.641313i | \(0.221610\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.66713 | + | 1.25055i | 0.227462 | + | 0.0609482i | 0.370750 | − | 0.928733i | \(-0.379101\pi\) |
−0.143288 | + | 0.989681i | \(0.545767\pi\) | |||||||
\(422\) | −0.337043 | + | 1.25786i | −0.0164070 | + | 0.0612318i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.48538 | − | 4.48538i | −0.217829 | − | 0.217829i | ||||
\(425\) | 25.5285 | + | 14.7389i | 1.23831 | + | 0.714941i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.44722 | − | 12.8652i | 0.166823 | − | 0.622591i | ||||
\(428\) | 6.65169 | − | 11.5211i | 0.321522 | − | 0.556892i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.21699 | + | 3.83995i | 0.106913 | + | 0.185179i | ||||
\(431\) | −16.0936 | + | 4.31228i | −0.775203 | + | 0.207715i | −0.624669 | − | 0.780890i | \(-0.714766\pi\) |
−0.150534 | + | 0.988605i | \(0.548099\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.53229 | − | 3.19407i | 0.265865 | − | 0.153497i | −0.361142 | − | 0.932511i | \(-0.617613\pi\) |
0.627007 | + | 0.779014i | \(0.284280\pi\) | |||||||
\(434\) | 4.21817 | − | 15.7424i | 0.202478 | − | 0.755660i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.63616 | + | 7.63616i | 0.365706 | + | 0.365706i | ||||
\(437\) | 0.116950 | + | 0.436462i | 0.00559446 | + | 0.0208788i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 13.2838i | − | 0.633999i | −0.948426 | − | 0.317000i | \(-0.897325\pi\) | ||
0.948426 | − | 0.317000i | \(-0.102675\pi\) | |||||||
\(440\) | −0.124315 | − | 0.463951i | −0.00592650 | − | 0.0221180i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 13.5497 | + | 19.0729i | 0.644496 | + | 0.907203i | ||||
\(443\) | −19.0340 | + | 10.9893i | −0.904332 | + | 0.522117i | −0.878603 | − | 0.477552i | \(-0.841524\pi\) |
−0.0257292 | + | 0.999669i | \(0.508191\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.44926 | − | 5.97429i | −0.163511 | − | 0.283209i | ||||
\(446\) | −19.0868 | −0.903785 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.04505 | + | 3.90017i | 0.0493738 | + | 0.184266i | ||||
\(449\) | −8.04520 | − | 2.15570i | −0.379676 | − | 0.101734i | 0.0639330 | − | 0.997954i | \(-0.479636\pi\) |
−0.443609 | + | 0.896220i | \(0.646302\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.29089 | + | 5.69999i | 0.154962 | + | 0.268402i | ||||
\(452\) | 15.2122 | 0.715524 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −14.2332 | − | 8.21756i | −0.667998 | − | 0.385669i | ||||
\(455\) | −1.64317 | + | 9.70547i | −0.0770329 | + | 0.454999i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.62978 | − | 9.62978i | 0.450462 | − | 0.450462i | −0.445046 | − | 0.895508i | \(-0.646813\pi\) |
0.895508 | + | 0.445046i | \(0.146813\pi\) | |||||||
\(458\) | −11.7812 | − | 6.80189i | −0.550500 | − | 0.317831i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.822829 | + | 0.822829i | −0.0383646 | + | 0.0383646i | ||||
\(461\) | 34.5408 | − | 9.25517i | 1.60872 | − | 0.431056i | 0.661062 | − | 0.750331i | \(-0.270106\pi\) |
0.947662 | + | 0.319275i | \(0.103439\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.0689 | − | 3.23386i | 0.560891 | − | 0.150290i | 0.0327754 | − | 0.999463i | \(-0.489565\pi\) |
0.528116 | + | 0.849172i | \(0.322899\pi\) | |||||||
\(464\) | 1.28654i | 0.0597260i | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.75501 | − | 2.75501i | −0.127623 | − | 0.127623i | ||||
\(467\) | −11.9847 | −0.554587 | −0.277293 | − | 0.960785i | \(-0.589437\pi\) | ||||
−0.277293 | + | 0.960785i | \(0.589437\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −42.1818 | −1.94777 | ||||||||
\(470\) | −4.49048 | − | 4.49048i | −0.207131 | − | 0.207131i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.98300i | 0.229361i | ||||||||
\(473\) | −4.49970 | + | 1.20569i | −0.206896 | + | 0.0554377i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.15210 | − | 0.308704i | 0.0528618 | − | 0.0141643i | ||||
\(476\) | −18.5265 | + | 18.5265i | −0.849160 | + | 0.849160i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.36512 | − | 0.788151i | −0.0624390 | − | 0.0360492i | ||||
\(479\) | −10.1637 | + | 10.1637i | −0.464393 | + | 0.464393i | −0.900092 | − | 0.435699i | \(-0.856501\pi\) |
0.435699 | + | 0.900092i | \(0.356501\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.3756 | − | 27.0192i | 0.564280 | − | 1.23197i | ||||
\(482\) | −4.47282 | − | 2.58239i | −0.203732 | − | 0.117624i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.4954 | −0.477062 | ||||||||
\(485\) | −0.680464 | − | 1.17860i | −0.0308983 | − | 0.0535174i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.7160 | + | 5.81879i | 0.984047 | + | 0.263675i | 0.714748 | − | 0.699382i | \(-0.246541\pi\) |
0.269299 | + | 0.963057i | \(0.413208\pi\) | |||||||
\(488\) | −0.853749 | − | 3.18623i | −0.0386474 | − | 0.144234i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.29050 | −0.284176 | ||||||||
\(491\) | 21.6874 | + | 37.5637i | 0.978738 | + | 1.69522i | 0.667003 | + | 0.745055i | \(0.267577\pi\) |
0.311735 | + | 0.950169i | \(0.399090\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.22973 | + | 4.17409i | −0.325611 | + | 0.187991i | ||||
\(494\) | 0.933371 | + | 0.158023i | 0.0419944 | + | 0.00710979i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.04468 | − | 3.89881i | −0.0469076 | − | 0.175062i | ||||
\(497\) | 32.6955i | 1.46659i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.45370 | + | 27.8176i | 0.333673 | + | 1.24529i | 0.905300 | + | 0.424772i | \(0.139646\pi\) |
−0.571627 | + | 0.820514i | \(0.693687\pi\) | |||||||
\(500\) | 4.56251 | + | 4.56251i | 0.204042 | + | 0.204042i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.81440 | − | 6.77143i | 0.0809805 | − | 0.302224i | ||||
\(503\) | −13.3453 | + | 7.70492i | −0.595038 | + | 0.343545i | −0.767087 | − | 0.641543i | \(-0.778295\pi\) |
0.172049 | + | 0.985088i | \(0.444961\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.48323 | − | 2.54102i | 0.421998 | − | 0.113074i | ||||
\(506\) | −0.611279 | − | 1.05877i | −0.0271747 | − | 0.0470679i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −9.75334 | + | 16.8933i | −0.432735 | + | 0.749518i | ||||
\(509\) | −1.81959 | + | 6.79081i | −0.0806519 | + | 0.300997i | −0.994455 | − | 0.105160i | \(-0.966465\pi\) |
0.913803 | + | 0.406157i | \(0.133131\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.94381 | + | 4.00901i | 0.307176 | + | 0.177348i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.981486 | − | 3.66296i | 0.0432915 | − | 0.161566i | ||||
\(515\) | 12.6034 | + | 3.37706i | 0.555371 | + | 0.148811i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.77808 | − | 3.33598i | 0.254120 | − | 0.146716i | ||||
\(518\) | 32.1469 | + | 8.61374i | 1.41245 | + | 0.378466i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.849411 | + | 2.28513i | 0.0372491 | + | 0.100209i | ||||
\(521\) | 42.4222i | 1.85855i | 0.369391 | + | 0.929274i | \(0.379566\pi\) | ||||
−0.369391 | + | 0.929274i | \(0.620434\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.58272 | − | 2.74135i | 0.0692074 | − | 0.119871i | −0.829345 | − | 0.558737i | \(-0.811286\pi\) |
0.898553 | + | 0.438866i | \(0.144620\pi\) | |||||||
\(524\) | −2.81495 | + | 4.87564i | −0.122972 | + | 0.212993i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.90735 | − | 5.90735i | 0.257573 | − | 0.257573i | ||||
\(527\) | 18.5200 | − | 18.5200i | 0.806745 | − | 0.806745i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.0191 | − | 17.3535i | 0.435612 | − | 0.754501i | ||||
\(530\) | 2.14450 | − | 3.71438i | 0.0931511 | − | 0.161342i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.06013i | 0.0459625i | ||||||||
\(533\) | −19.3473 | − | 27.2335i | −0.838023 | − | 1.17962i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.68856 | + | 2.32809i | 0.375639 | + | 0.100652i | ||||
\(536\) | −9.04724 | + | 5.22343i | −0.390781 | + | 0.225618i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.01563 | − | 1.07599i | −0.173126 | − | 0.0463890i | ||||
\(539\) | 1.71051 | − | 6.38372i | 0.0736770 | − | 0.274966i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.91918 | − | 5.91918i | −0.254486 | − | 0.254486i | 0.568321 | − | 0.822807i | \(-0.307593\pi\) |
−0.822807 | + | 0.568321i | \(0.807593\pi\) | |||||||
\(542\) | −18.1083 | − | 10.4548i | −0.777818 | − | 0.449074i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.67944 | + | 6.26776i | −0.0720055 | + | 0.268728i | ||||
\(545\) | −3.65092 | + | 6.32358i | −0.156388 | + | 0.270872i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.9449 | + | 29.3493i | 0.724510 | + | 1.25489i | 0.959176 | + | 0.282811i | \(0.0912670\pi\) |
−0.234666 | + | 0.972076i | \(0.575400\pi\) | |||||||
\(548\) | 11.3621 | − | 3.04445i | 0.485363 | − | 0.130053i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.79475 | + | 1.61355i | −0.119169 | + | 0.0688020i | ||||
\(551\) | −0.0874256 | + | 0.326277i | −0.00372445 | + | 0.0138999i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −41.6438 | − | 41.6438i | −1.77088 | − | 1.77088i | ||||
\(554\) | 3.92987 | + | 14.6665i | 0.166964 | + | 0.623118i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.96212i | 0.125622i | ||||||||
\(557\) | 2.17805 | + | 8.12858i | 0.0922868 | + | 0.344419i | 0.996594 | − | 0.0824630i | \(-0.0262786\pi\) |
−0.904307 | + | 0.426882i | \(0.859612\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.1626 | − | 8.23812i | 0.937378 | − | 0.348436i | ||||
\(560\) | −2.36435 | + | 1.36506i | −0.0999121 | + | 0.0576843i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −15.1196 | − | 26.1879i | −0.637782 | − | 1.10467i | ||||
\(563\) | −31.8876 | −1.34390 | −0.671951 | − | 0.740596i | \(-0.734543\pi\) | ||||
−0.671951 | + | 0.740596i | \(0.734543\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.66214 | + | 9.93526i | 0.111997 | + | 0.417979i | ||||
\(566\) | 19.0137 | + | 5.09470i | 0.799205 | + | 0.214146i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.04872 | + | 7.01259i | 0.169881 | + | 0.294242i | ||||
\(569\) | 32.4802 | 1.36164 | 0.680821 | − | 0.732450i | \(-0.261623\pi\) | ||||
0.680821 | + | 0.732450i | \(0.261623\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −27.2576 | − | 15.7372i | −1.14070 | − | 0.658582i | −0.194094 | − | 0.980983i | \(-0.562177\pi\) |
−0.946603 | + | 0.322401i | \(0.895510\pi\) | |||||||
\(572\) | −2.54996 | + | 0.240627i | −0.106619 | + | 0.0100611i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 26.4534 | − | 26.4534i | 1.10414 | − | 1.10414i | ||||
\(575\) | 6.77079 | + | 3.90912i | 0.282361 | + | 0.163021i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.78292 | − | 3.78292i | 0.157485 | − | 0.157485i | −0.623966 | − | 0.781451i | \(-0.714480\pi\) |
0.781451 | + | 0.623966i | \(0.214480\pi\) | |||||||
\(578\) | −24.2499 | + | 6.49774i | −1.00866 | + | 0.270270i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.840250 | + | 0.225144i | −0.0348895 | + | 0.00934861i | ||||
\(581\) | − | 16.3432i | − | 0.678031i | ||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.18629 | + | 3.18629i | 0.131963 | + | 0.131963i | ||||
\(584\) | 1.98576 | 0.0821715 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.93642 | −0.410470 | ||||||||
\(587\) | 30.8578 | + | 30.8578i | 1.27364 | + | 1.27364i | 0.944165 | + | 0.329474i | \(0.106871\pi\) |
0.329474 | + | 0.944165i | \(0.393129\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 1.05976i | − | 0.0436666i | ||||||
\(590\) | −3.25444 | + | 0.872025i | −0.133983 | + | 0.0359007i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.96159 | − | 2.13330i | 0.327219 | − | 0.0876781i | ||||
\(593\) | 3.43157 | − | 3.43157i | 0.140918 | − | 0.140918i | −0.633129 | − | 0.774047i | \(-0.718230\pi\) |
0.774047 | + | 0.633129i | \(0.218230\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −15.3420 | − | 8.85768i | −0.628959 | − | 0.363130i | ||||
\(596\) | −16.4140 | + | 16.4140i | −0.672343 | + | 0.672343i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.59373 | + | 5.05860i | 0.146958 | + | 0.206861i | ||||
\(599\) | −6.49912 | − | 3.75227i | −0.265547 | − | 0.153313i | 0.361315 | − | 0.932444i | \(-0.382328\pi\) |
−0.626862 | + | 0.779130i | \(0.715661\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.4262 | 0.710831 | 0.355416 | − | 0.934708i | \(-0.384339\pi\) | ||||
0.355416 | + | 0.934708i | \(0.384339\pi\) | |||||||
\(602\) | 13.2392 | + | 22.9310i | 0.539590 | + | 0.934597i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −6.65733 | − | 1.78383i | −0.270883 | − | 0.0725828i | ||||
\(605\) | −1.83669 | − | 6.85462i | −0.0746721 | − | 0.278680i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −30.9125 | −1.25470 | −0.627350 | − | 0.778737i | \(-0.715861\pi\) | ||||
−0.627350 | + | 0.778737i | \(0.715861\pi\) | |||||||
\(608\) | 0.131277 | + | 0.227379i | 0.00532400 | + | 0.00922143i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.93155 | − | 1.11518i | 0.0782063 | − | 0.0451524i | ||||
\(611\) | −27.6066 | + | 19.6123i | −1.11684 | + | 0.793429i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.1528 | + | 41.6227i | 0.450456 | + | 1.68113i | 0.701113 | + | 0.713050i | \(0.252687\pi\) |
−0.250657 | + | 0.968076i | \(0.580646\pi\) | |||||||
\(614\) | 20.4813i | 0.826560i | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.742373 | − | 2.77058i | −0.0299111 | − | 0.111630i | ||||
\(617\) | 8.95150 | + | 8.95150i | 0.360374 | + | 0.360374i | 0.863950 | − | 0.503577i | \(-0.167983\pi\) |
−0.503577 | + | 0.863950i | \(0.667983\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.291078 | − | 1.08632i | 0.0116994 | − | 0.0436628i | −0.959829 | − | 0.280584i | \(-0.909472\pi\) |
0.971529 | + | 0.236922i | \(0.0761384\pi\) | |||||||
\(620\) | 2.36353 | − | 1.36458i | 0.0949215 | − | 0.0548030i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 21.8475 | − | 5.85403i | 0.876006 | − | 0.234725i | ||||
\(623\) | −20.5979 | − | 35.6767i | −0.825239 | − | 1.42936i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.17568 | − | 15.8927i | 0.367027 | − | 0.635710i | ||||
\(626\) | 4.88349 | − | 18.2255i | 0.195184 | − | 0.728436i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −9.49681 | − | 5.48299i | −0.378964 | − | 0.218795i | ||||
\(629\) | 37.8190 | + | 37.8190i | 1.50794 | + | 1.50794i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.51015 | + | 13.1000i | −0.139737 | + | 0.521505i | 0.860197 | + | 0.509962i | \(0.170341\pi\) |
−0.999933 | + | 0.0115421i | \(0.996326\pi\) | |||||||
\(632\) | −14.0887 | − | 3.77505i | −0.560417 | − | 0.150163i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 16.4650 | − | 9.50608i | 0.653909 | − | 0.377535i | ||||
\(635\) | −12.7400 | − | 3.41367i | −0.505571 | − | 0.135467i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.59943 | + | 33.0733i | −0.221857 | + | 1.31041i | ||||
\(638\) | − | 0.913923i | − | 0.0361825i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.338074 | + | 0.585562i | −0.0133636 | + | 0.0231464i | ||||
\(641\) | 23.6580 | − | 40.9769i | 0.934436 | − | 1.61849i | 0.158801 | − | 0.987311i | \(-0.449237\pi\) |
0.775636 | − | 0.631181i | \(-0.217429\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.73860 | − | 6.73860i | 0.265745 | − | 0.265745i | −0.561638 | − | 0.827383i | \(-0.689829\pi\) |
0.827383 | + | 0.561638i | \(0.189829\pi\) | |||||||
\(644\) | −4.91369 | + | 4.91369i | −0.193626 | + | 0.193626i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.851840 | + | 1.47543i | −0.0335152 | + | 0.0580500i | ||||
\(647\) | 8.42061 | − | 14.5849i | 0.331048 | − | 0.573392i | −0.651669 | − | 0.758503i | \(-0.725931\pi\) |
0.982718 | + | 0.185111i | \(0.0592644\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 3.53979i | − | 0.138949i | ||||||
\(650\) | 13.3528 | − | 9.48611i | 0.523741 | − | 0.372076i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 12.3626 | + | 3.31255i | 0.484157 | + | 0.129730i | ||||
\(653\) | 25.2989 | − | 14.6063i | 0.990022 | − | 0.571589i | 0.0847408 | − | 0.996403i | \(-0.472994\pi\) |
0.905281 | + | 0.424814i | \(0.139660\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.67694 | − | 0.985233i | −0.143670 | − | 0.0384962i | ||||
\(656\) | 2.39802 | − | 8.94954i | 0.0936270 | − | 0.349421i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −26.8158 | − | 26.8158i | −1.04539 | − | 1.04539i | ||||
\(659\) | 12.4412 | + | 7.18293i | 0.484641 | + | 0.279807i | 0.722348 | − | 0.691529i | \(-0.243063\pi\) |
−0.237708 | + | 0.971337i | \(0.576396\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.7255 | + | 40.0282i | −0.417174 | + | 1.55692i | 0.363267 | + | 0.931685i | \(0.381661\pi\) |
−0.780441 | + | 0.625230i | \(0.785005\pi\) | |||||||
\(662\) | 13.2363 | − | 22.9259i | 0.514443 | − | 0.891041i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.02380 | − | 3.50533i | −0.0785387 | − | 0.136033i | ||||
\(665\) | −0.692380 | + | 0.185523i | −0.0268494 | + | 0.00719426i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.91750 | + | 1.10707i | −0.0742460 | + | 0.0428660i | ||||
\(668\) | −0.217416 | + | 0.811408i | −0.00841208 | + | 0.0313943i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −4.99474 | − | 4.99474i | −0.192964 | − | 0.192964i | ||||
\(671\) | 0.606480 | + | 2.26342i | 0.0234129 | + | 0.0873782i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 39.4913i | 1.52228i | 0.648588 | + | 0.761140i | \(0.275360\pi\) | ||||
−0.648588 | + | 0.761140i | \(0.724640\pi\) | |||||||
\(674\) | −5.87256 | − | 21.9167i | −0.226202 | − | 0.844199i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.7705 | − | 2.43183i | 0.491174 | − | 0.0935321i | ||||
\(677\) | −14.7062 | + | 8.49064i | −0.565206 | + | 0.326322i | −0.755232 | − | 0.655457i | \(-0.772476\pi\) |
0.190026 | + | 0.981779i | \(0.439143\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.06352 | − | 7.03823i | −0.155944 | − | 0.270103i | ||||
\(680\) | −4.38743 | −0.168250 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.742114 | + | 2.76961i | 0.0284170 | + | 0.106054i | ||||
\(683\) | 1.34228 | + | 0.359662i | 0.0513607 | + | 0.0137621i | 0.284408 | − | 0.958703i | \(-0.408203\pi\) |
−0.233047 | + | 0.972465i | \(0.574870\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.97672 | + | 6.88788i | 0.151943 | + | 0.263173i | ||||
\(686\) | −9.30068 | −0.355102 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.67915 | + | 3.27886i | 0.216516 | + | 0.125005i | ||||
\(689\) | −17.6201 | − | 14.5814i | −0.671272 | − | 0.555507i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.28822 | + | 7.28822i | −0.277257 | + | 0.277257i | −0.832013 | − | 0.554756i | \(-0.812812\pi\) |
0.554756 | + | 0.832013i | \(0.312812\pi\) | |||||||
\(692\) | −18.4610 | − | 10.6585i | −0.701782 | − | 0.405174i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 11.7462 | − | 11.7462i | 0.445879 | − | 0.445879i | ||||
\(695\) | −1.93459 | + | 0.518372i | −0.0733832 | + | 0.0196630i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 58.0723 | − | 15.5604i | 2.19965 | − | 0.589393i | ||||
\(698\) | − | 2.24512i | − | 0.0849789i | ||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 12.9703 | + | 12.9703i | 0.490232 | + | 0.490232i | ||||
\(701\) | 26.3023 | 0.993423 | 0.496712 | − | 0.867916i | \(-0.334541\pi\) | ||||
0.496712 | + | 0.867916i | \(0.334541\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.16409 | 0.0816202 | ||||||||
\(704\) | −0.502310 | − | 0.502310i | −0.0189315 | − | 0.0189315i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.97314i | 0.337709i | ||||||||
\(707\) | 56.6310 | − | 15.1742i | 2.12983 | − | 0.570685i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 31.3179 | − | 8.39161i | 1.17617 | − | 0.315154i | 0.382763 | − | 0.923846i | \(-0.374972\pi\) |
0.793406 | + | 0.608693i | \(0.208306\pi\) | |||||||
\(710\) | −3.87146 | + | 3.87146i | −0.145293 | + | 0.145293i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.83578 | − | 5.10134i | −0.331135 | − | 0.191181i | ||||
\(713\) | 4.91197 | − | 4.91197i | 0.183955 | − | 0.183955i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.603399 | − | 1.62329i | −0.0225658 | − | 0.0607077i | ||||
\(716\) | −0.209175 | − | 0.120767i | −0.00781723 | − | 0.00451328i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 35.5844 | 1.32800 | ||||||||
\(719\) | −8.65353 | − | 14.9884i | −0.322722 | − | 0.558971i | 0.658326 | − | 0.752733i | \(-0.271265\pi\) |
−0.981049 | + | 0.193761i | \(0.937931\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 75.2634 | + | 20.1668i | 2.80296 | + | 0.751050i | ||||
\(722\) | −4.89972 | − | 18.2860i | −0.182349 | − | 0.680535i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.73952 | −0.0646488 | ||||||||
\(725\) | 2.92226 | + | 5.06150i | 0.108530 | + | 0.187979i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.04825 | − | 4.64666i | 0.298493 | − | 0.172335i | −0.343273 | − | 0.939236i | \(-0.611536\pi\) |
0.641766 | + | 0.766901i | \(0.278202\pi\) | |||||||
\(728\) | 5.07242 | + | 13.6461i | 0.187996 | + | 0.505757i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.347509 | + | 1.29692i | 0.0128619 | + | 0.0480012i | ||||
\(731\) | 42.5521i | 1.57385i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.12426 | + | 34.0522i | 0.337012 | + | 1.25775i | 0.901671 | + | 0.432422i | \(0.142341\pi\) |
−0.564659 | + | 0.825324i | \(0.690992\pi\) | |||||||
\(734\) | 16.4047 | + | 16.4047i | 0.605509 | + | 0.605509i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.445430 | + | 1.66237i | −0.0164188 | + | 0.0612756i | ||||
\(737\) | 6.42692 | − | 3.71058i | 0.236739 | − | 0.136681i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 32.7392 | − | 8.77244i | 1.20433 | − | 0.322699i | 0.399795 | − | 0.916604i | \(-0.369081\pi\) |
0.804535 | + | 0.593905i | \(0.202415\pi\) | |||||||
\(740\) | 2.78656 | + | 4.82646i | 0.102436 | + | 0.177424i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 12.8063 | − | 22.1812i | 0.470134 | − | 0.814296i | ||||
\(743\) | 2.77031 | − | 10.3389i | 0.101633 | − | 0.379299i | −0.896309 | − | 0.443431i | \(-0.853761\pi\) |
0.997941 | + | 0.0641321i | \(0.0204279\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −13.5926 | − | 7.84768i | −0.497993 | − | 0.287517i | ||||
\(746\) | −21.2459 | − | 21.2459i | −0.777866 | − | 0.777866i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.19303 | − | 4.45245i | 0.0436215 | − | 0.162798i | ||||
\(749\) | 51.8854 | + | 13.9027i | 1.89585 | + | 0.507992i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −12.1245 | + | 7.00006i | −0.442428 | + | 0.255436i | −0.704627 | − | 0.709578i | \(-0.748886\pi\) |
0.262199 | + | 0.965014i | \(0.415552\pi\) | |||||||
\(752\) | −9.07214 | − | 2.43087i | −0.330827 | − | 0.0886448i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.435793 | + | 4.61816i | 0.0158706 | + | 0.168184i | ||||
\(755\) | − | 4.66013i | − | 0.169600i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.20269 | + | 7.27928i | −0.152749 | + | 0.264570i | −0.932237 | − | 0.361848i | \(-0.882146\pi\) |
0.779488 | + | 0.626417i | \(0.215479\pi\) | |||||||
\(758\) | −14.1954 | + | 24.5871i | −0.515600 | + | 0.893045i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.125530 | + | 0.125530i | −0.00455344 | + | 0.00455344i | ||||
\(761\) | −20.7884 | + | 20.7884i | −0.753578 | + | 0.753578i | −0.975145 | − | 0.221567i | \(-0.928883\pi\) |
0.221567 | + | 0.975145i | \(0.428883\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −21.8022 | + | 37.7625i | −0.789292 | + | 1.36709i | ||||
\(764\) | 4.22419 | − | 7.31652i | 0.152826 | − | 0.264702i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.71244i | 0.134136i | ||||||||
\(767\) | 1.68790 | + | 17.8870i | 0.0609467 | + | 0.645862i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 35.1291 | + | 9.41282i | 1.26679 | + | 0.339435i | 0.828800 | − | 0.559545i | \(-0.189024\pi\) |
0.437989 | + | 0.898980i | \(0.355691\pi\) | |||||||
\(770\) | 1.67957 | − | 0.969702i | 0.0605276 | − | 0.0349456i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.0518362 | + | 0.0138895i | 0.00186563 | + | 0.000499893i | ||||
\(773\) | 1.91671 | − | 7.15325i | 0.0689391 | − | 0.257284i | −0.922852 | − | 0.385156i | \(-0.874148\pi\) |
0.991791 | + | 0.127871i | \(0.0408144\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −12.9658 | − | 12.9658i | −0.465745 | − | 0.465745i | ||||
\(776\) | −1.74311 | − | 1.00638i | −0.0625739 | − | 0.0361271i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.525886 | − | 1.96263i | 0.0188539 | − | 0.0703638i | ||||
\(779\) | 1.21632 | − | 2.10672i | 0.0435790 | − | 0.0754811i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.87610 | − | 4.98156i | −0.102915 | − | 0.178254i | ||||
\(782\) | −10.7869 | + | 2.89033i | −0.385738 | + | 0.103358i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −8.05701 | + | 4.65172i | −0.287750 |