Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.2 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.2 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | −1.64517 | + | 0.541678i | −0.949839 | + | 0.312738i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 2.21549 | − | 0.302666i | 0.990797 | − | 0.135356i | ||||
\(6\) | 1.52611 | − | 0.819129i | 0.623034 | − | 0.334408i | ||||
\(7\) | −2.76521 | − | 1.59649i | −1.04515 | − | 0.603417i | −0.123862 | − | 0.992299i | \(-0.539528\pi\) |
−0.921288 | + | 0.388882i | \(0.872861\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 2.41317 | − | 1.78230i | 0.804390 | − | 0.594102i | ||||
\(10\) | −2.12927 | + | 0.682783i | −0.673336 | + | 0.215915i | ||||
\(11\) | −1.63257 | + | 0.942566i | −0.492239 | + | 0.284194i | −0.725503 | − | 0.688219i | \(-0.758393\pi\) |
0.233264 | + | 0.972413i | \(0.425059\pi\) | |||||||
\(12\) | −1.36069 | + | 1.07169i | −0.392797 | + | 0.309371i | ||||
\(13\) | −1.97017 | − | 1.65317i | −0.546427 | − | 0.458507i | 0.327302 | − | 0.944920i | \(-0.393861\pi\) |
−0.873729 | + | 0.486413i | \(0.838305\pi\) | |||||||
\(14\) | 3.00042 | + | 1.09207i | 0.801897 | + | 0.291867i | ||||
\(15\) | −3.48091 | + | 1.69802i | −0.898767 | + | 0.438426i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.781630 | + | 4.43285i | 0.189573 | + | 1.07512i | 0.919937 | + | 0.392065i | \(0.128239\pi\) |
−0.730364 | + | 0.683058i | \(0.760650\pi\) | |||||||
\(18\) | −2.06701 | + | 2.17427i | −0.487200 | + | 0.512480i | ||||
\(19\) | −3.91516 | + | 1.91613i | −0.898198 | + | 0.439591i | ||||
\(20\) | 1.97836 | − | 1.04215i | 0.442375 | − | 0.233033i | ||||
\(21\) | 5.41402 | + | 1.12865i | 1.18144 | + | 0.246292i | ||||
\(22\) | 1.44409 | − | 1.21174i | 0.307882 | − | 0.258344i | ||||
\(23\) | 0.269039 | − | 0.0979220i | 0.0560984 | − | 0.0204182i | −0.313819 | − | 0.949483i | \(-0.601608\pi\) |
0.369917 | + | 0.929065i | \(0.379386\pi\) | |||||||
\(24\) | 1.15392 | − | 1.29169i | 0.235543 | − | 0.263666i | ||||
\(25\) | 4.81679 | − | 1.34110i | 0.963357 | − | 0.268221i | ||||
\(26\) | 2.22731 | + | 1.28594i | 0.436811 | + | 0.252193i | ||||
\(27\) | −3.00464 | + | 4.23936i | −0.578243 | + | 0.815864i | ||||
\(28\) | −3.14448 | − | 0.554456i | −0.594250 | − | 0.104782i | ||||
\(29\) | 0.186034 | − | 1.05505i | 0.0345457 | − | 0.195918i | −0.962651 | − | 0.270746i | \(-0.912730\pi\) |
0.997196 | + | 0.0748277i | \(0.0238407\pi\) | |||||||
\(30\) | 3.13317 | − | 2.27668i | 0.572036 | − | 0.415662i | ||||
\(31\) | −6.53496 | − | 3.77296i | −1.17371 | − | 0.677644i | −0.219161 | − | 0.975689i | \(-0.570332\pi\) |
−0.954552 | + | 0.298045i | \(0.903665\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | 2.17529 | − | 2.43501i | 0.378670 | − | 0.423881i | ||||
\(34\) | −1.53951 | − | 4.22977i | −0.264024 | − | 0.725400i | ||||
\(35\) | −6.60949 | − | 2.70008i | −1.11721 | − | 0.456397i | ||||
\(36\) | 1.65805 | − | 2.50017i | 0.276342 | − | 0.416695i | ||||
\(37\) | −9.87401 | −1.62328 | −0.811638 | − | 0.584160i | \(-0.801424\pi\) | ||||
−0.811638 | + | 0.584160i | \(0.801424\pi\) | |||||||
\(38\) | 3.52294 | − | 2.56688i | 0.571497 | − | 0.416403i | ||||
\(39\) | 4.13675 | + | 1.65255i | 0.662410 | + | 0.264619i | ||||
\(40\) | −1.76734 | + | 1.36986i | −0.279441 | + | 0.216594i | ||||
\(41\) | −6.45346 | + | 5.41509i | −1.00786 | + | 0.845696i | −0.988054 | − | 0.154108i | \(-0.950750\pi\) |
−0.0198067 | + | 0.999804i | \(0.506305\pi\) | |||||||
\(42\) | −5.52776 | − | 0.171369i | −0.852951 | − | 0.0264429i | ||||
\(43\) | −0.955393 | + | 2.62492i | −0.145696 | + | 0.400297i | −0.990978 | − | 0.134024i | \(-0.957210\pi\) |
0.845282 | + | 0.534320i | \(0.179432\pi\) | |||||||
\(44\) | −1.21174 | + | 1.44409i | −0.182677 | + | 0.217705i | ||||
\(45\) | 4.80691 | − | 4.67906i | 0.716572 | − | 0.697513i | ||||
\(46\) | −0.247947 | + | 0.143152i | −0.0365578 | + | 0.0211067i | ||||
\(47\) | 1.01970 | − | 5.78300i | 0.148738 | − | 0.843537i | −0.815551 | − | 0.578686i | \(-0.803566\pi\) |
0.964289 | − | 0.264852i | \(-0.0853230\pi\) | |||||||
\(48\) | −0.912090 | + | 1.47244i | −0.131649 | + | 0.212529i | ||||
\(49\) | 1.59758 | + | 2.76708i | 0.228225 | + | 0.395298i | ||||
\(50\) | −4.51073 | + | 2.15716i | −0.637913 | + | 0.305068i | ||||
\(51\) | −3.68709 | − | 6.86939i | −0.516296 | − | 0.961907i | ||||
\(52\) | −2.41677 | − | 0.879633i | −0.335146 | − | 0.121983i | ||||
\(53\) | −3.28212 | − | 9.01756i | −0.450834 | − | 1.23866i | −0.932138 | − | 0.362103i | \(-0.882059\pi\) |
0.481304 | − | 0.876554i | \(-0.340163\pi\) | |||||||
\(54\) | 2.22284 | − | 4.69670i | 0.302490 | − | 0.639140i | ||||
\(55\) | −3.33166 | + | 2.58237i | −0.449242 | + | 0.348206i | ||||
\(56\) | 3.19298 | 0.426681 | ||||||||
\(57\) | 5.40317 | − | 5.27312i | 0.715667 | − | 0.698441i | ||||
\(58\) | 1.07133i | 0.140672i | ||||||||
\(59\) | 0.980309 | + | 5.55961i | 0.127625 | + | 0.723800i | 0.979714 | + | 0.200402i | \(0.0642247\pi\) |
−0.852088 | + | 0.523398i | \(0.824664\pi\) | |||||||
\(60\) | −2.69023 | + | 2.78616i | −0.347307 | + | 0.359691i | ||||
\(61\) | −11.2455 | + | 4.09301i | −1.43983 | + | 0.524057i | −0.939733 | − | 0.341910i | \(-0.888926\pi\) |
−0.500102 | + | 0.865967i | \(0.666704\pi\) | |||||||
\(62\) | 7.09085 | + | 2.58086i | 0.900538 | + | 0.327769i | ||||
\(63\) | −9.51835 | + | 1.07583i | −1.19920 | + | 0.135542i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −4.86525 | − | 3.06628i | −0.603460 | − | 0.380325i | ||||
\(66\) | −1.71941 | + | 2.77575i | −0.211645 | + | 0.341671i | ||||
\(67\) | 0.624252 | − | 3.54031i | 0.0762645 | − | 0.432518i | −0.922637 | − | 0.385668i | \(-0.873971\pi\) |
0.998902 | − | 0.0468492i | \(-0.0149180\pi\) | |||||||
\(68\) | 2.25061 | + | 3.89818i | 0.272927 | + | 0.472724i | ||||
\(69\) | −0.389572 | + | 0.306831i | −0.0468990 | + | 0.0369381i | ||||
\(70\) | 6.97794 | + | 1.51133i | 0.834023 | + | 0.180639i | ||||
\(71\) | −9.79239 | − | 3.56414i | −1.16214 | − | 0.422985i | −0.312280 | − | 0.949990i | \(-0.601093\pi\) |
−0.849862 | + | 0.527005i | \(0.823315\pi\) | |||||||
\(72\) | −1.19871 | + | 2.75011i | −0.141270 | + | 0.324103i | ||||
\(73\) | −3.19790 | − | 3.81110i | −0.374285 | − | 0.446056i | 0.545717 | − | 0.837970i | \(-0.316258\pi\) |
−0.920002 | + | 0.391914i | \(0.871813\pi\) | |||||||
\(74\) | 9.72400 | − | 1.71460i | 1.13039 | − | 0.199319i | ||||
\(75\) | −7.19799 | + | 4.81549i | −0.831152 | + | 0.556045i | ||||
\(76\) | −3.02369 | + | 3.13964i | −0.346841 | + | 0.360141i | ||||
\(77\) | 6.01920 | 0.685951 | ||||||||
\(78\) | −4.36087 | − | 0.909102i | −0.493771 | − | 0.102936i | ||||
\(79\) | −0.568928 | − | 0.678022i | −0.0640094 | − | 0.0762834i | 0.733090 | − | 0.680132i | \(-0.238078\pi\) |
−0.797099 | + | 0.603849i | \(0.793633\pi\) | |||||||
\(80\) | 1.50261 | − | 1.65594i | 0.167997 | − | 0.185140i | ||||
\(81\) | 2.64678 | − | 8.60201i | 0.294087 | − | 0.955779i | ||||
\(82\) | 5.41509 | − | 6.45346i | 0.597997 | − | 0.712665i | ||||
\(83\) | 3.89616 | − | 6.74835i | 0.427659 | − | 0.740728i | −0.569005 | − | 0.822334i | \(-0.692672\pi\) |
0.996665 | + | 0.0816060i | \(0.0260049\pi\) | |||||||
\(84\) | 5.47354 | − | 0.791119i | 0.597212 | − | 0.0863181i | ||||
\(85\) | 3.07336 | + | 9.58435i | 0.333353 | + | 1.03957i | ||||
\(86\) | 0.485066 | − | 2.75095i | 0.0523060 | − | 0.296642i | ||||
\(87\) | 0.265441 | + | 1.83651i | 0.0284583 | + | 0.196895i | ||||
\(88\) | 0.942566 | − | 1.63257i | 0.100478 | − | 0.174033i | ||||
\(89\) | 12.5753 | + | 10.5520i | 1.33298 | + | 1.11851i | 0.983370 | + | 0.181611i | \(0.0581313\pi\) |
0.349613 | + | 0.936894i | \(0.386313\pi\) | |||||||
\(90\) | −3.92137 | + | 5.44269i | −0.413349 | + | 0.573710i | ||||
\(91\) | 2.80865 | + | 7.71672i | 0.294427 | + | 0.808932i | ||||
\(92\) | 0.219322 | − | 0.184033i | 0.0228659 | − | 0.0191868i | ||||
\(93\) | 12.7948 | + | 2.66732i | 1.32676 | + | 0.276588i | ||||
\(94\) | 5.87221i | 0.605672i | ||||||||
\(95\) | −8.09404 | + | 5.43015i | −0.830431 | + | 0.557122i | ||||
\(96\) | 0.642546 | − | 1.60846i | 0.0655795 | − | 0.164162i | ||||
\(97\) | −0.803014 | − | 4.55412i | −0.0815337 | − | 0.462401i | −0.998051 | − | 0.0624054i | \(-0.980123\pi\) |
0.916517 | − | 0.399995i | \(-0.130988\pi\) | |||||||
\(98\) | −2.05380 | − | 2.44763i | −0.207466 | − | 0.247248i | ||||
\(99\) | −2.25973 | + | 5.18431i | −0.227112 | + | 0.521043i | ||||
\(100\) | 4.06761 | − | 2.90766i | 0.406761 | − | 0.290766i | ||||
\(101\) | 3.33769 | − | 3.97771i | 0.332113 | − | 0.395797i | −0.573984 | − | 0.818866i | \(-0.694603\pi\) |
0.906097 | + | 0.423070i | \(0.139047\pi\) | |||||||
\(102\) | 4.82393 | + | 6.12478i | 0.477640 | + | 0.606443i | ||||
\(103\) | 8.81699 | + | 15.2715i | 0.868764 | + | 1.50474i | 0.863261 | + | 0.504759i | \(0.168418\pi\) |
0.00550340 | + | 0.999985i | \(0.498248\pi\) | |||||||
\(104\) | 2.53280 | + | 0.446601i | 0.248362 | + | 0.0437929i | ||||
\(105\) | 12.3363 | + | 0.861877i | 1.20390 | + | 0.0841106i | ||||
\(106\) | 4.79814 | + | 8.31063i | 0.466037 | + | 0.807200i | ||||
\(107\) | −3.27246 | − | 1.88936i | −0.316361 | − | 0.182651i | 0.333408 | − | 0.942782i | \(-0.391801\pi\) |
−0.649769 | + | 0.760131i | \(0.725135\pi\) | |||||||
\(108\) | −1.37349 | + | 5.01134i | −0.132164 | + | 0.482216i | ||||
\(109\) | 5.25483 | − | 14.4375i | 0.503322 | − | 1.38286i | −0.384691 | − | 0.923045i | \(-0.625692\pi\) |
0.888012 | − | 0.459819i | \(-0.152086\pi\) | |||||||
\(110\) | 2.83263 | − | 3.12167i | 0.270080 | − | 0.297640i | ||||
\(111\) | 16.2444 | − | 5.34853i | 1.54185 | − | 0.507660i | ||||
\(112\) | −3.14448 | + | 0.554456i | −0.297125 | + | 0.0523912i | ||||
\(113\) | 18.0281i | 1.69594i | 0.530047 | + | 0.847968i | \(0.322174\pi\) | ||||
−0.530047 | + | 0.847968i | \(0.677826\pi\) | |||||||
\(114\) | −4.40542 | + | 6.13126i | −0.412605 | + | 0.574245i | ||||
\(115\) | 0.566414 | − | 0.298374i | 0.0528184 | − | 0.0278235i | ||||
\(116\) | −0.186034 | − | 1.05505i | −0.0172729 | − | 0.0979592i | ||||
\(117\) | −7.70081 | − | 0.477934i | −0.711940 | − | 0.0441851i | ||||
\(118\) | −1.93083 | − | 5.30492i | −0.177748 | − | 0.488357i | ||||
\(119\) | 4.91564 | − | 13.5056i | 0.450616 | − | 1.23806i | ||||
\(120\) | 2.16555 | − | 3.21098i | 0.197687 | − | 0.293121i | ||||
\(121\) | −3.72314 | + | 6.44867i | −0.338467 | + | 0.586242i | ||||
\(122\) | 10.3639 | − | 5.98359i | 0.938301 | − | 0.541729i | ||||
\(123\) | 7.68380 | − | 12.4044i | 0.692825 | − | 1.11847i | ||||
\(124\) | −7.43128 | − | 1.31034i | −0.667349 | − | 0.117672i | ||||
\(125\) | 10.2656 | − | 4.42908i | 0.918186 | − | 0.396149i | ||||
\(126\) | 9.18693 | − | 2.71233i | 0.818437 | − | 0.241634i | ||||
\(127\) | 5.01423 | + | 4.20744i | 0.444941 | + | 0.373350i | 0.837554 | − | 0.546354i | \(-0.183985\pi\) |
−0.392614 | + | 0.919703i | \(0.628429\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 0.149923 | − | 4.83596i | 0.0131999 | − | 0.425782i | ||||
\(130\) | 5.32379 | + | 2.17485i | 0.466927 | + | 0.190747i | ||||
\(131\) | −9.08799 | + | 1.60246i | −0.794021 | + | 0.140007i | −0.555923 | − | 0.831234i | \(-0.687635\pi\) |
−0.238098 | + | 0.971241i | \(0.576524\pi\) | |||||||
\(132\) | 1.21128 | − | 3.03215i | 0.105429 | − | 0.263915i | ||||
\(133\) | 13.8853 | + | 0.952017i | 1.20401 | + | 0.0825503i | ||||
\(134\) | 3.59492i | 0.310554i | ||||||||
\(135\) | −5.37364 | + | 10.3016i | −0.462489 | + | 0.886625i | ||||
\(136\) | −2.89333 | − | 3.44814i | −0.248101 | − | 0.295676i | ||||
\(137\) | −5.54544 | + | 2.01837i | −0.473779 | + | 0.172441i | −0.567863 | − | 0.823123i | \(-0.692230\pi\) |
0.0940847 | + | 0.995564i | \(0.470008\pi\) | |||||||
\(138\) | 0.330373 | − | 0.369818i | 0.0281232 | − | 0.0314810i | ||||
\(139\) | 11.1705 | + | 9.37320i | 0.947473 | + | 0.795024i | 0.978870 | − | 0.204483i | \(-0.0655512\pi\) |
−0.0313971 | + | 0.999507i | \(0.509996\pi\) | |||||||
\(140\) | −7.13437 | − | 0.276667i | −0.602964 | − | 0.0233826i | ||||
\(141\) | 1.45495 | + | 10.0664i | 0.122528 | + | 0.847741i | ||||
\(142\) | 10.2625 | + | 1.80956i | 0.861212 | + | 0.151855i | ||||
\(143\) | 4.77467 | + | 0.841903i | 0.399278 | + | 0.0704034i | ||||
\(144\) | 0.702952 | − | 2.91648i | 0.0585793 | − | 0.243040i | ||||
\(145\) | 0.0928289 | − | 2.39377i | 0.00770902 | − | 0.198791i | ||||
\(146\) | 3.81110 | + | 3.19790i | 0.315409 | + | 0.264660i | ||||
\(147\) | −4.12715 | − | 3.68695i | −0.340402 | − | 0.304095i | ||||
\(148\) | −9.27853 | + | 3.37711i | −0.762691 | + | 0.277597i | ||||
\(149\) | −1.37270 | − | 1.63592i | −0.112456 | − | 0.134019i | 0.706880 | − | 0.707333i | \(-0.250102\pi\) |
−0.819336 | + | 0.573314i | \(0.805658\pi\) | |||||||
\(150\) | 6.25243 | − | 5.99225i | 0.510509 | − | 0.489265i | ||||
\(151\) | − | 0.960562i | − | 0.0781694i | −0.999236 | − | 0.0390847i | \(-0.987556\pi\) | ||
0.999236 | − | 0.0390847i | \(-0.0124442\pi\) | |||||||
\(152\) | 2.43256 | − | 3.61700i | 0.197307 | − | 0.293377i | ||||
\(153\) | 9.78689 | + | 9.30411i | 0.791223 | + | 0.752192i | ||||
\(154\) | −5.92775 | + | 1.04522i | −0.477672 | + | 0.0842265i | ||||
\(155\) | −15.6201 | − | 6.38105i | −1.25463 | − | 0.512538i | ||||
\(156\) | 4.45248 | + | 0.138034i | 0.356484 | + | 0.0110516i | ||||
\(157\) | 0.522669 | − | 1.43602i | 0.0417135 | − | 0.114607i | −0.917087 | − | 0.398687i | \(-0.869466\pi\) |
0.958801 | + | 0.284080i | \(0.0916882\pi\) | |||||||
\(158\) | 0.678022 | + | 0.568928i | 0.0539405 | + | 0.0452615i | ||||
\(159\) | 10.2843 | + | 13.0576i | 0.815595 | + | 1.03553i | ||||
\(160\) | −1.19223 | + | 1.89171i | −0.0942544 | + | 0.149553i | ||||
\(161\) | −0.900279 | − | 0.158743i | −0.0709519 | − | 0.0125107i | ||||
\(162\) | −1.11285 | + | 8.93093i | −0.0874334 | + | 0.701680i | ||||
\(163\) | 16.0875 | − | 9.28815i | 1.26007 | − | 0.727504i | 0.286985 | − | 0.957935i | \(-0.407347\pi\) |
0.973089 | + | 0.230431i | \(0.0740138\pi\) | |||||||
\(164\) | −4.21220 | + | 7.29574i | −0.328917 | + | 0.569701i | ||||
\(165\) | 4.08234 | − | 6.05312i | 0.317810 | − | 0.471235i | ||||
\(166\) | −2.66513 | + | 7.32239i | −0.206854 | + | 0.568328i | ||||
\(167\) | 0.495348 | + | 1.36096i | 0.0383312 | + | 0.105314i | 0.957382 | − | 0.288826i | \(-0.0932648\pi\) |
−0.919051 | + | 0.394140i | \(0.871043\pi\) | |||||||
\(168\) | −5.25300 | + | 1.72957i | −0.405278 | + | 0.133439i | ||||
\(169\) | −1.10882 | − | 6.28845i | −0.0852941 | − | 0.483727i | ||||
\(170\) | −4.69098 | − | 8.90506i | −0.359781 | − | 0.682987i | ||||
\(171\) | −6.03280 | + | 11.6020i | −0.461340 | + | 0.887223i | ||||
\(172\) | 2.79338i | 0.212993i | ||||||||
\(173\) | −17.3919 | + | 3.06666i | −1.32228 | + | 0.233154i | −0.789839 | − | 0.613314i | \(-0.789836\pi\) |
−0.532440 | + | 0.846468i | \(0.678725\pi\) | |||||||
\(174\) | −0.580315 | − | 1.76252i | −0.0439936 | − | 0.133616i | ||||
\(175\) | −15.4605 | − | 3.98153i | −1.16870 | − | 0.300976i | ||||
\(176\) | −0.644753 | + | 1.77144i | −0.0486001 | + | 0.133528i | ||||
\(177\) | −4.62429 | − | 8.61549i | −0.347583 | − | 0.647580i | ||||
\(178\) | −14.2166 | − | 8.20797i | −1.06558 | − | 0.615213i | ||||
\(179\) | 6.64395 | + | 11.5077i | 0.496592 | + | 0.860122i | 0.999992 | − | 0.00393089i | \(-0.00125125\pi\) |
−0.503400 | + | 0.864053i | \(0.667918\pi\) | |||||||
\(180\) | 2.91669 | − | 6.04094i | 0.217397 | − | 0.450265i | ||||
\(181\) | −21.4383 | − | 3.78015i | −1.59350 | − | 0.280976i | −0.694686 | − | 0.719313i | \(-0.744457\pi\) |
−0.898811 | + | 0.438337i | \(0.855568\pi\) | |||||||
\(182\) | −4.10598 | − | 7.11176i | −0.304355 | − | 0.527159i | ||||
\(183\) | 16.2836 | − | 12.8251i | 1.20372 | − | 0.948061i | ||||
\(184\) | −0.184033 | + | 0.219322i | −0.0135671 | + | 0.0161687i | ||||
\(185\) | −21.8758 | + | 2.98852i | −1.60834 | + | 0.219720i | ||||
\(186\) | −13.0636 | − | 0.404994i | −0.957873 | − | 0.0296956i | ||||
\(187\) | −5.45432 | − | 6.50020i | −0.398859 | − | 0.475342i | ||||
\(188\) | −1.01970 | − | 5.78300i | −0.0743692 | − | 0.421769i | ||||
\(189\) | 15.0765 | − | 6.92581i | 1.09666 | − | 0.503778i | ||||
\(190\) | 7.02814 | − | 6.75317i | 0.509875 | − | 0.489926i | ||||
\(191\) | − | 4.54642i | − | 0.328967i | −0.986380 | − | 0.164484i | \(-0.947404\pi\) | ||
0.986380 | − | 0.164484i | \(-0.0525958\pi\) | |||||||
\(192\) | −0.353478 | + | 1.69560i | −0.0255101 | + | 0.122369i | ||||
\(193\) | 11.6597 | − | 9.78364i | 0.839283 | − | 0.704242i | −0.118119 | − | 0.992999i | \(-0.537687\pi\) |
0.957402 | + | 0.288757i | \(0.0932421\pi\) | |||||||
\(194\) | 1.58163 | + | 4.34549i | 0.113554 | + | 0.311988i | ||||
\(195\) | 9.66510 | + | 2.40915i | 0.692132 | + | 0.172523i | ||||
\(196\) | 2.44763 | + | 2.05380i | 0.174831 | + | 0.146700i | ||||
\(197\) | −12.1091 | + | 20.9736i | −0.862738 | + | 1.49431i | 0.00653693 | + | 0.999979i | \(0.497919\pi\) |
−0.869275 | + | 0.494328i | \(0.835414\pi\) | |||||||
\(198\) | 1.32516 | − | 5.49795i | 0.0941748 | − | 0.390722i | ||||
\(199\) | 2.75376 | − | 15.6174i | 0.195209 | − | 1.10709i | −0.716912 | − | 0.697164i | \(-0.754445\pi\) |
0.912121 | − | 0.409921i | \(-0.134444\pi\) | |||||||
\(200\) | −3.50091 | + | 3.56982i | −0.247552 | + | 0.252425i | ||||
\(201\) | 0.890706 | + | 6.16255i | 0.0628256 | + | 0.434673i | ||||
\(202\) | −2.59626 | + | 4.49686i | −0.182672 | + | 0.316398i | ||||
\(203\) | −2.19881 | + | 2.62044i | −0.154326 | + | 0.183919i | ||||
\(204\) | −5.81420 | − | 5.19406i | −0.407076 | − | 0.363657i | ||||
\(205\) | −12.6586 | + | 13.9503i | −0.884115 | + | 0.974333i | ||||
\(206\) | −11.3349 | − | 13.5084i | −0.789740 | − | 0.941176i | ||||
\(207\) | 0.474709 | − | 0.715811i | 0.0329945 | − | 0.0497523i | ||||
\(208\) | −2.57187 | −0.178327 | ||||||||
\(209\) | 4.58569 | − | 6.81852i | 0.317199 | − | 0.471647i | ||||
\(210\) | −12.2986 | + | 1.29339i | −0.848681 | + | 0.0892527i | ||||
\(211\) | 0.212548 | − | 0.0374780i | 0.0146324 | − | 0.00258009i | −0.166327 | − | 0.986071i | \(-0.553191\pi\) |
0.180960 | + | 0.983491i | \(0.442080\pi\) | |||||||
\(212\) | −6.16838 | − | 7.35118i | −0.423646 | − | 0.504881i | ||||
\(213\) | 18.0408 | + | 0.559293i | 1.23613 | + | 0.0383221i | ||||
\(214\) | 3.55083 | + | 1.29240i | 0.242730 | + | 0.0883464i | ||||
\(215\) | −1.32219 | + | 6.10465i | −0.0901727 | + | 0.416334i | ||||
\(216\) | 0.482417 | − | 5.17371i | 0.0328243 | − | 0.352026i | ||||
\(217\) | 12.0470 | + | 20.8660i | 0.817804 | + | 1.41648i | ||||
\(218\) | −2.66795 | + | 15.1307i | −0.180696 | + | 1.02478i | ||||
\(219\) | 7.32547 | + | 4.53768i | 0.495010 | + | 0.306628i | ||||
\(220\) | −2.24752 | + | 3.56613i | −0.151528 | + | 0.240428i | ||||
\(221\) | 5.78830 | − | 10.0256i | 0.389363 | − | 0.674397i | ||||
\(222\) | −15.0689 | + | 8.08809i | −1.01136 | + | 0.542837i | ||||
\(223\) | −12.5417 | − | 4.56480i | −0.839854 | − | 0.305682i | −0.113957 | − | 0.993486i | \(-0.536353\pi\) |
−0.725897 | + | 0.687804i | \(0.758575\pi\) | |||||||
\(224\) | 3.00042 | − | 1.09207i | 0.200474 | − | 0.0729667i | ||||
\(225\) | 9.23347 | − | 11.8213i | 0.615565 | − | 0.788086i | ||||
\(226\) | −3.13054 | − | 17.7542i | −0.208240 | − | 1.18099i | ||||
\(227\) | − | 8.85384i | − | 0.587650i | −0.955859 | − | 0.293825i | \(-0.905072\pi\) | ||
0.955859 | − | 0.293825i | \(-0.0949283\pi\) | |||||||
\(228\) | 3.27381 | − | 6.80310i | 0.216813 | − | 0.450546i | ||||
\(229\) | 5.74760 | 0.379812 | 0.189906 | − | 0.981802i | \(-0.439182\pi\) | ||||
0.189906 | + | 0.981802i | \(0.439182\pi\) | |||||||
\(230\) | −0.505997 | + | 0.392198i | −0.0333645 | + | 0.0258608i | ||||
\(231\) | −9.90261 | + | 3.26047i | −0.651544 | + | 0.214523i | ||||
\(232\) | 0.366416 | + | 1.00672i | 0.0240564 | + | 0.0660944i | ||||
\(233\) | 12.2521 | + | 4.45940i | 0.802661 | + | 0.292145i | 0.710589 | − | 0.703607i | \(-0.248429\pi\) |
0.0920725 | + | 0.995752i | \(0.470651\pi\) | |||||||
\(234\) | 7.66681 | − | 0.866558i | 0.501195 | − | 0.0566487i | ||||
\(235\) | 0.508818 | − | 13.1208i | 0.0331916 | − | 0.855907i | ||||
\(236\) | 2.82269 | + | 4.88904i | 0.183741 | + | 0.318249i | ||||
\(237\) | 1.30325 | + | 0.807285i | 0.0846553 | + | 0.0524388i | ||||
\(238\) | −2.49573 | + | 14.1540i | −0.161774 | + | 0.917468i | ||||
\(239\) | 10.6444 | − | 6.14554i | 0.688528 | − | 0.397522i | −0.114532 | − | 0.993420i | \(-0.536537\pi\) |
0.803060 | + | 0.595898i | \(0.203204\pi\) | |||||||
\(240\) | −1.57507 | + | 3.53824i | −0.101670 | + | 0.228393i | ||||
\(241\) | 9.20904 | − | 10.9749i | 0.593206 | − | 0.706956i | −0.383013 | − | 0.923743i | \(-0.625113\pi\) |
0.976219 | + | 0.216787i | \(0.0695579\pi\) | |||||||
\(242\) | 2.54678 | − | 6.99721i | 0.163713 | − | 0.449798i | ||||
\(243\) | 0.305116 | + | 15.5855i | 0.0195732 | + | 0.999808i | ||||
\(244\) | −9.16739 | + | 7.69235i | −0.586882 | + | 0.492452i | ||||
\(245\) | 4.37691 | + | 5.64691i | 0.279631 | + | 0.360768i | ||||
\(246\) | −5.41306 | + | 13.5503i | −0.345124 | + | 0.863934i | ||||
\(247\) | 10.8812 | + | 2.69731i | 0.692355 | + | 0.171626i | ||||
\(248\) | 7.54592 | 0.479166 | ||||||||
\(249\) | −2.75442 | + | 13.2127i | −0.174554 | + | 0.837318i | ||||
\(250\) | −9.34058 | + | 6.14440i | −0.590750 | + | 0.388606i | ||||
\(251\) | −1.30950 | − | 3.59782i | −0.0826548 | − | 0.227092i | 0.891480 | − | 0.453060i | \(-0.149668\pi\) |
−0.974135 | + | 0.225968i | \(0.927446\pi\) | |||||||
\(252\) | −8.57637 | + | 4.26642i | −0.540260 | + | 0.268759i | ||||
\(253\) | −0.346927 | + | 0.413451i | −0.0218111 | + | 0.0259935i | ||||
\(254\) | −5.66866 | − | 3.27280i | −0.355684 | − | 0.205354i | ||||
\(255\) | −10.2478 | − | 14.1031i | −0.641744 | − | 0.883171i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 28.4411 | + | 5.01493i | 1.77411 | + | 0.312823i | 0.962480 | − | 0.271354i | \(-0.0874715\pi\) |
0.811626 | + | 0.584177i | \(0.198583\pi\) | |||||||
\(258\) | 0.692111 | + | 4.78852i | 0.0430889 | + | 0.298120i | ||||
\(259\) | 27.3037 | + | 15.7638i | 1.69657 | + | 0.979514i | ||||
\(260\) | −5.62057 | − | 1.21734i | −0.348573 | − | 0.0754965i | ||||
\(261\) | −1.43149 | − | 2.87759i | −0.0886073 | − | 0.178119i | ||||
\(262\) | 8.67166 | − | 3.15622i | 0.535737 | − | 0.194992i | ||||
\(263\) | −4.99171 | + | 4.18854i | −0.307802 | + | 0.258276i | −0.783583 | − | 0.621287i | \(-0.786610\pi\) |
0.475781 | + | 0.879564i | \(0.342166\pi\) | |||||||
\(264\) | −0.666353 | + | 3.19643i | −0.0410112 | + | 0.196726i | ||||
\(265\) | −10.0008 | − | 18.9849i | −0.614345 | − | 1.16623i | ||||
\(266\) | −13.8397 | + | 1.47360i | −0.848564 | + | 0.0903524i | ||||
\(267\) | −26.4043 | − | 10.5480i | −1.61592 | − | 0.645526i | ||||
\(268\) | −0.624252 | − | 3.54031i | −0.0381323 | − | 0.216259i | ||||
\(269\) | −0.127850 | + | 0.107279i | −0.00779515 | + | 0.00654091i | −0.646677 | − | 0.762764i | \(-0.723842\pi\) |
0.638882 | + | 0.769305i | \(0.279397\pi\) | |||||||
\(270\) | 3.50314 | − | 11.0783i | 0.213194 | − | 0.674202i | ||||
\(271\) | −5.58676 | − | 2.03342i | −0.339372 | − | 0.123521i | 0.166712 | − | 0.986006i | \(-0.446685\pi\) |
−0.506084 | + | 0.862484i | \(0.668907\pi\) | |||||||
\(272\) | 3.44814 | + | 2.89333i | 0.209074 | + | 0.175434i | ||||
\(273\) | −8.80069 | − | 11.1739i | −0.532642 | − | 0.676277i | ||||
\(274\) | 5.11070 | − | 2.95066i | 0.308749 | − | 0.178256i | ||||
\(275\) | −6.59967 | + | 6.72959i | −0.397975 | + | 0.405810i | ||||
\(276\) | −0.261136 | + | 0.421568i | −0.0157185 | + | 0.0253754i | ||||
\(277\) | −26.5003 | + | 15.2999i | −1.59225 | + | 0.919284i | −0.599326 | + | 0.800505i | \(0.704565\pi\) |
−0.992921 | + | 0.118779i | \(0.962102\pi\) | |||||||
\(278\) | −12.6285 | − | 7.29105i | −0.757406 | − | 0.437288i | ||||
\(279\) | −22.4945 | + | 2.54249i | −1.34671 | + | 0.152215i | ||||
\(280\) | 7.07402 | − | 0.966406i | 0.422754 | − | 0.0577538i | ||||
\(281\) | 29.3474 | − | 10.6816i | 1.75072 | − | 0.637210i | 0.750988 | − | 0.660316i | \(-0.229578\pi\) |
0.999733 | + | 0.0231053i | \(0.00735532\pi\) | |||||||
\(282\) | −3.18085 | − | 9.66079i | −0.189417 | − | 0.575292i | ||||
\(283\) | −11.8978 | + | 2.09790i | −0.707251 | + | 0.124707i | −0.515693 | − | 0.856774i | \(-0.672465\pi\) |
−0.191559 | + | 0.981481i | \(0.561354\pi\) | |||||||
\(284\) | −10.4208 | −0.618363 | ||||||||
\(285\) | 10.3747 | − | 13.3179i | 0.614543 | − | 0.788883i | ||||
\(286\) | −4.84832 | −0.286687 | ||||||||
\(287\) | 26.4903 | − | 4.67095i | 1.56367 | − | 0.275718i | ||||
\(288\) | −0.185831 | + | 2.99424i | −0.0109502 | + | 0.176437i | ||||
\(289\) | −3.06440 | + | 1.11535i | −0.180259 | + | 0.0656088i | ||||
\(290\) | 0.324254 | + | 2.37352i | 0.0190409 | + | 0.139378i | ||||
\(291\) | 3.78796 | + | 7.05733i | 0.222054 | + | 0.413708i | ||||
\(292\) | −4.30851 | − | 2.48752i | −0.252137 | − | 0.145571i | ||||
\(293\) | −18.5097 | + | 10.6866i | −1.08135 | + | 0.624317i | −0.931260 | − | 0.364356i | \(-0.881289\pi\) |
−0.150089 | + | 0.988673i | \(0.547956\pi\) | |||||||
\(294\) | 4.70469 | + | 2.91427i | 0.274383 | + | 0.169963i | ||||
\(295\) | 3.85457 | + | 12.0206i | 0.224422 | + | 0.699864i | ||||
\(296\) | 8.55114 | − | 4.93700i | 0.497025 | − | 0.286958i | ||||
\(297\) | 0.909420 | − | 9.75313i | 0.0527699 | − | 0.565934i | ||||
\(298\) | 1.63592 | + | 1.37270i | 0.0947660 | + | 0.0795182i | ||||
\(299\) | −0.691934 | − | 0.251843i | −0.0400155 | − | 0.0145645i | ||||
\(300\) | −5.11690 | + | 6.98694i | −0.295424 | + | 0.403391i | ||||
\(301\) | 6.83253 | − | 5.73317i | 0.393820 | − | 0.330455i | ||||
\(302\) | 0.166800 | + | 0.945969i | 0.00959825 | + | 0.0544344i | ||||
\(303\) | −3.33644 | + | 8.35196i | −0.191673 | + | 0.479807i | ||||
\(304\) | −1.76752 | + | 3.98446i | −0.101374 | + | 0.228524i | ||||
\(305\) | −23.6754 | + | 12.4716i | −1.35565 | + | 0.714124i | ||||
\(306\) | −11.2538 | − | 7.46328i | −0.643339 | − | 0.426647i | ||||
\(307\) | −2.23016 | + | 1.87133i | −0.127282 | + | 0.106802i | −0.704207 | − | 0.709995i | \(-0.748697\pi\) |
0.576925 | + | 0.816797i | \(0.304253\pi\) | |||||||
\(308\) | 5.65620 | − | 2.05869i | 0.322292 | − | 0.117305i | ||||
\(309\) | −22.7777 | − | 20.3482i | −1.29578 | − | 1.15757i | ||||
\(310\) | 16.4908 | + | 3.57171i | 0.936616 | + | 0.202859i | ||||
\(311\) | −4.42663 | − | 2.55572i | −0.251011 | − | 0.144921i | 0.369216 | − | 0.929344i | \(-0.379626\pi\) |
−0.620227 | + | 0.784422i | \(0.712960\pi\) | |||||||
\(312\) | −4.40880 | + | 0.637228i | −0.249599 | + | 0.0360759i | ||||
\(313\) | 17.4897 | + | 3.08390i | 0.988575 | + | 0.174312i | 0.644479 | − | 0.764622i | \(-0.277074\pi\) |
0.344096 | + | 0.938935i | \(0.388185\pi\) | |||||||
\(314\) | −0.265366 | + | 1.50496i | −0.0149755 | + | 0.0849300i | ||||
\(315\) | −20.7622 | + | 5.26437i | −1.16982 | + | 0.296614i | ||||
\(316\) | −0.766514 | − | 0.442547i | −0.0431198 | − | 0.0248952i | ||||
\(317\) | 10.4400 | − | 12.4420i | 0.586371 | − | 0.698810i | −0.388533 | − | 0.921435i | \(-0.627018\pi\) |
0.974904 | + | 0.222625i | \(0.0714626\pi\) | |||||||
\(318\) | −12.3954 | − | 11.0734i | −0.695102 | − | 0.620963i | ||||
\(319\) | 0.690743 | + | 1.89780i | 0.0386742 | + | 0.106256i | ||||
\(320\) | 0.845629 | − | 2.07000i | 0.0472721 | − | 0.115717i | ||||
\(321\) | 6.40718 | + | 1.33569i | 0.357614 | + | 0.0745511i | ||||
\(322\) | 0.914167 | 0.0509445 | ||||||||
\(323\) | −11.5541 | − | 15.8576i | −0.642888 | − | 0.882339i | ||||
\(324\) | −0.454901 | − | 8.98850i | −0.0252723 | − | 0.499361i | ||||
\(325\) | −11.7070 | − | 5.32076i | −0.649386 | − | 0.295143i | ||||
\(326\) | −14.2303 | + | 11.9406i | −0.788141 | + | 0.661329i | ||||
\(327\) | −0.824601 | + | 26.5986i | −0.0456005 | + | 1.47091i | ||||
\(328\) | 2.88131 | − | 7.91634i | 0.159094 | − | 0.437107i | ||||
\(329\) | −12.0522 | + | 14.3632i | −0.664459 | + | 0.791871i | ||||
\(330\) | −2.96921 | + | 6.67006i | −0.163450 | + | 0.367174i | ||||
\(331\) | −8.74202 | + | 5.04721i | −0.480505 | + | 0.277420i | −0.720627 | − | 0.693323i | \(-0.756146\pi\) |
0.240122 | + | 0.970743i | \(0.422813\pi\) | |||||||
\(332\) | 1.35312 | − | 7.67394i | 0.0742623 | − | 0.421162i | ||||
\(333\) | −23.8277 | + | 17.5985i | −1.30575 | + | 0.964391i | ||||
\(334\) | −0.724150 | − | 1.25426i | −0.0396237 | − | 0.0686303i | ||||
\(335\) | 0.311494 | − | 8.03246i | 0.0170187 | − | 0.438860i | ||||
\(336\) | 4.87286 | − | 2.61547i | 0.265836 | − | 0.142685i | ||||
\(337\) | −31.1349 | − | 11.3322i | −1.69603 | − | 0.617304i | −0.700665 | − | 0.713491i | \(-0.747113\pi\) |
−0.995363 | + | 0.0961871i | \(0.969335\pi\) | |||||||
\(338\) | 2.18396 | + | 6.00037i | 0.118792 | + | 0.326377i | ||||
\(339\) | −9.76540 | − | 29.6592i | −0.530384 | − | 1.61087i | ||||
\(340\) | 6.16606 | + | 7.95519i | 0.334401 | + | 0.431431i | ||||
\(341\) | 14.2251 | 0.770330 | ||||||||
\(342\) | 3.92649 | − | 12.4733i | 0.212321 | − | 0.674478i | ||||
\(343\) | 12.1488i | 0.655975i | ||||||||
\(344\) | −0.485066 | − | 2.75095i | −0.0261530 | − | 0.148321i | ||||
\(345\) | −0.770226 | + | 0.797690i | −0.0414676 | + | 0.0429462i | ||||
\(346\) | 16.5951 | − | 6.04013i | 0.892160 | − | 0.324720i | ||||
\(347\) | 8.04824 | + | 2.92932i | 0.432052 | + | 0.157254i | 0.548886 | − | 0.835897i | \(-0.315052\pi\) |
−0.116834 | + | 0.993151i | \(0.537274\pi\) | |||||||
\(348\) | 0.877557 | + | 1.63497i | 0.0470420 | + | 0.0876437i | ||||
\(349\) | 11.4275 | − | 19.7930i | 0.611700 | − | 1.05950i | −0.379254 | − | 0.925293i | \(-0.623819\pi\) |
0.990954 | − | 0.134203i | \(-0.0428474\pi\) | |||||||
\(350\) | 15.9170 | + | 1.23636i | 0.850798 | + | 0.0660864i | ||||
\(351\) | 12.9280 | − | 3.38507i | 0.690047 | − | 0.180682i | ||||
\(352\) | 0.327350 | − | 1.85649i | 0.0174478 | − | 0.0989514i | ||||
\(353\) | −5.66510 | − | 9.81224i | −0.301523 | − | 0.522253i | 0.674958 | − | 0.737856i | \(-0.264162\pi\) |
−0.976481 | + | 0.215603i | \(0.930828\pi\) | |||||||
\(354\) | 6.05011 | + | 7.68160i | 0.321559 | + | 0.408273i | ||||
\(355\) | −22.7737 | − | 4.93249i | −1.20870 | − | 0.261789i | ||||
\(356\) | 15.4259 | + | 5.61458i | 0.817573 | + | 0.297572i | ||||
\(357\) | −0.771373 | + | 24.8817i | −0.0408254 | + | 1.31688i | ||||
\(358\) | −8.54129 | − | 10.1791i | −0.451421 | − | 0.537983i | ||||
\(359\) | −10.1009 | + | 1.78107i | −0.533106 | + | 0.0940010i | −0.433720 | − | 0.901048i | \(-0.642799\pi\) |
−0.0993866 | + | 0.995049i | \(0.531688\pi\) | |||||||
\(360\) | −1.82338 | + | 6.45564i | −0.0961004 | + | 0.340242i | ||||
\(361\) | 11.6569 | − | 15.0039i | 0.613520 | − | 0.789679i | ||||
\(362\) | 21.7690 | 1.14415 | ||||||||
\(363\) | 2.63210 | − | 12.6259i | 0.138149 | − | 0.662688i | ||||
\(364\) | 5.27854 | + | 6.29072i | 0.276671 | + | 0.329724i | ||||
\(365\) | −8.23839 | − | 7.47557i | −0.431217 | − | 0.391289i | ||||
\(366\) | −13.8092 | + | 15.4579i | −0.721817 | + | 0.807998i | ||||
\(367\) | 4.46292 | − | 5.31871i | 0.232963 | − | 0.277634i | −0.636880 | − | 0.770963i | \(-0.719775\pi\) |
0.869843 | + | 0.493328i | \(0.164220\pi\) | |||||||
\(368\) | 0.143152 | − | 0.247947i | 0.00746234 | − | 0.0129251i | ||||
\(369\) | −5.92194 | + | 24.5696i | −0.308284 | + | 1.27904i | ||||
\(370\) | 21.0245 | − | 6.74181i | 1.09301 | − | 0.350490i | ||||
\(371\) | −5.32072 | + | 30.1753i | −0.276238 | + | 1.56662i | ||||
\(372\) | 12.9355 | − | 1.86964i | 0.670675 | − | 0.0969361i | ||||
\(373\) | 0.513416 | − | 0.889262i | 0.0265837 | − | 0.0460442i | −0.852428 | − | 0.522845i | \(-0.824870\pi\) |
0.879011 | + | 0.476801i | \(0.158204\pi\) | |||||||
\(374\) | 6.50020 | + | 5.45432i | 0.336117 | + | 0.282036i | ||||
\(375\) | −14.4896 | + | 12.8473i | −0.748239 | + | 0.663429i | ||||
\(376\) | 2.00841 | + | 5.51807i | 0.103576 | + | 0.284573i | ||||
\(377\) | −2.11070 | + | 1.77109i | −0.108707 | + | 0.0912157i | ||||
\(378\) | −13.6448 | + | 9.43860i | −0.701815 | + | 0.485469i | ||||
\(379\) | − | 22.1068i | − | 1.13555i | −0.823183 | − | 0.567776i | \(-0.807804\pi\) | ||
0.823183 | − | 0.567776i | \(-0.192196\pi\) | |||||||
\(380\) | −5.74869 | + | 7.87100i | −0.294901 | + | 0.403774i | ||||
\(381\) | −10.5283 | − | 4.20585i | −0.539383 | − | 0.215472i | ||||
\(382\) | 0.789477 | + | 4.47735i | 0.0403932 | + | 0.229081i | ||||
\(383\) | 18.3565 | + | 21.8765i | 0.937975 | + | 1.11783i | 0.992853 | + | 0.119342i | \(0.0380785\pi\) |
−0.0548783 | + | 0.998493i | \(0.517477\pi\) | |||||||
\(384\) | 0.0536706 | − | 1.73122i | 0.00273887 | − | 0.0883459i | ||||
\(385\) | 13.3355 | − | 1.82180i | 0.679638 | − | 0.0928477i | ||||
\(386\) | −9.78364 | + | 11.6597i | −0.497974 | + | 0.593463i | ||||
\(387\) | 2.37288 | + | 8.03719i | 0.120620 | + | 0.408553i | ||||
\(388\) | −2.31219 | − | 4.00483i | −0.117384 | − | 0.203314i | ||||
\(389\) | −11.5120 | − | 2.02987i | −0.583681 | − | 0.102919i | −0.125992 | − | 0.992031i | \(-0.540211\pi\) |
−0.457689 | + | 0.889112i | \(0.651323\pi\) | |||||||
\(390\) | −9.93661 | − | 0.694222i | −0.503160 | − | 0.0351533i | ||||
\(391\) | 0.644362 | + | 1.11607i | 0.0325868 | + | 0.0564420i | ||||
\(392\) | −2.76708 | − | 1.59758i | −0.139759 | − | 0.0806898i | ||||
\(393\) | 14.0833 | − | 7.55908i | 0.710407 | − | 0.381305i | ||||
\(394\) | 8.28312 | − | 22.7577i | 0.417298 | − | 1.14652i | ||||
\(395\) | −1.46567 | − | 1.32995i | −0.0737457 | − | 0.0669173i | ||||
\(396\) | −0.350316 | + | 5.64454i | −0.0176041 | + | 0.283649i | ||||
\(397\) | 14.7731 | − | 2.60490i | 0.741440 | − | 0.130736i | 0.209845 | − | 0.977735i | \(-0.432704\pi\) |
0.531595 | + | 0.846999i | \(0.321593\pi\) | |||||||
\(398\) | 15.8583i | 0.794904i | ||||||||
\(399\) | −23.3594 | + | 5.95513i | −1.16943 | + | 0.298129i | ||||
\(400\) | 2.82783 | − | 4.12352i | 0.141391 | − | 0.206176i | ||||
\(401\) | −5.83171 | − | 33.0732i | −0.291221 | − | 1.65160i | −0.682175 | − | 0.731189i | \(-0.738966\pi\) |
0.390954 | − | 0.920410i | \(-0.372145\pi\) | |||||||
\(402\) | −1.94729 | − | 5.91426i | −0.0971220 | − | 0.294977i | ||||
\(403\) | 6.63764 | + | 18.2368i | 0.330644 | + | 0.908438i | ||||
\(404\) | 1.77595 | − | 4.87938i | 0.0883567 | − | 0.242758i | ||||
\(405\) | 3.26038 | − | 19.8587i | 0.162010 | − | 0.986789i | ||||
\(406\) | 1.71037 | − | 2.96245i | 0.0848842 | − | 0.147024i | ||||
\(407\) | 16.1200 | − | 9.30690i | 0.799040 | − | 0.461326i | ||||
\(408\) | 6.62781 | + | 4.10552i | 0.328125 | + | 0.203254i | ||||
\(409\) | −17.0516 | − | 3.00666i | −0.843148 | − | 0.148670i | −0.264641 | − | 0.964347i | \(-0.585253\pi\) |
−0.578507 | + | 0.815677i | \(0.696364\pi\) | |||||||
\(410\) | 10.0438 | − | 15.9365i | 0.496030 | − | 0.787049i | ||||
\(411\) | 8.02988 | − | 6.32441i | 0.396085 | − | 0.311960i | ||||
\(412\) | 13.5084 | + | 11.3349i | 0.665512 | + | 0.558431i | ||||
\(413\) | 6.16512 | − | 16.9385i | 0.303366 | − | 0.833490i | ||||
\(414\) | −0.343198 | + | 0.787369i | −0.0168672 | + | 0.0386971i | ||||
\(415\) | 6.58941 | − | 16.1301i | 0.323462 | − | 0.791797i | ||||
\(416\) | 2.53280 | − | 0.446601i | 0.124181 | − | 0.0218964i | ||||
\(417\) | −23.4547 | − | 9.36967i | −1.14858 | − | 0.458835i | ||||
\(418\) | −3.33200 | + | 7.51122i | −0.162974 | + | 0.367386i | ||||
\(419\) | 32.6613i | 1.59561i | 0.602916 | + | 0.797805i | \(0.294005\pi\) | ||||
−0.602916 | + | 0.797805i | \(0.705995\pi\) | |||||||
\(420\) | 11.8871 | − | 3.40937i | 0.580032 | − | 0.166360i | ||||
\(421\) | 13.8773 | + | 16.5383i | 0.676339 | + | 0.806029i | 0.989632 | − | 0.143627i | \(-0.0458766\pi\) |
−0.313293 | + | 0.949657i | \(0.601432\pi\) | |||||||
\(422\) | −0.202811 | + | 0.0738172i | −0.00987269 | + | 0.00359337i | ||||
\(423\) | −7.84636 | − | 15.7728i | −0.381503 | − | 0.766899i | ||||
\(424\) | 7.35118 | + | 6.16838i | 0.357005 | + | 0.299563i | ||||
\(425\) | 9.70986 | + | 20.3038i | 0.470997 | + | 0.984880i | ||||
\(426\) | −17.8638 | + | 2.58195i | −0.865504 | + | 0.125096i | ||||
\(427\) | 37.6305 | + | 6.63527i | 1.82107 | + | 0.321103i | ||||
\(428\) | −3.72131 | − | 0.656167i | −0.179876 | − | 0.0317170i | ||||
\(429\) | −8.31118 | + | 1.20126i | −0.401268 | + | 0.0579973i | ||||
\(430\) | 0.242042 | − | 6.24150i | 0.0116723 | − | 0.300992i | ||||
\(431\) | 15.2348 | + | 12.7835i | 0.733833 | + | 0.615759i | 0.931174 | − | 0.364576i | \(-0.118786\pi\) |
−0.197340 | + | 0.980335i | \(0.563230\pi\) | |||||||
\(432\) | 0.423317 | + | 5.17888i | 0.0203669 | + | 0.249169i | ||||
\(433\) | 20.4840 | − | 7.45558i | 0.984400 | − | 0.358292i | 0.200851 | − | 0.979622i | \(-0.435629\pi\) |
0.783550 | + | 0.621329i | \(0.213407\pi\) | |||||||
\(434\) | −15.4873 | − | 18.4571i | −0.743416 | − | 0.885968i | ||||
\(435\) | 1.14393 | + | 3.98844i | 0.0548473 | + | 0.191231i | ||||
\(436\) | − | 15.3641i | − | 0.735807i | ||||||
\(437\) | −0.865696 | + | 0.898893i | −0.0414119 | + | 0.0429999i | ||||
\(438\) | −8.00214 | − | 3.19669i | −0.382357 | − | 0.152744i | ||||
\(439\) | 2.14946 | − | 0.379008i | 0.102588 | − | 0.0180890i | −0.122118 | − | 0.992516i | \(-0.538969\pi\) |
0.224707 | + | 0.974426i | \(0.427858\pi\) | |||||||
\(440\) | 1.59412 | − | 3.90223i | 0.0759968 | − | 0.186031i | ||||
\(441\) | 8.78701 | + | 3.83008i | 0.418429 | + | 0.182385i | ||||
\(442\) | −3.95943 | + | 10.8784i | −0.188331 | + | 0.517435i | ||||
\(443\) | −28.9140 | − | 24.2617i | −1.37375 | − | 1.15271i | −0.971462 | − | 0.237194i | \(-0.923772\pi\) |
−0.402283 | − | 0.915515i | \(-0.631783\pi\) | |||||||
\(444\) | 13.4355 | − | 10.5819i | 0.637619 | − | 0.502195i | ||||
\(445\) | 31.0542 | + | 19.5716i | 1.47211 | + | 0.927785i | ||||
\(446\) | 13.1438 | + | 2.31761i | 0.622378 | + | 0.109742i | ||||
\(447\) | 3.14446 | + | 1.94780i | 0.148728 | + | 0.0921278i | ||||
\(448\) | −2.76521 | + | 1.59649i | −0.130644 | + | 0.0754272i | ||||
\(449\) | 10.3936 | − | 18.0023i | 0.490506 | − | 0.849582i | −0.509434 | − | 0.860510i | \(-0.670145\pi\) |
0.999940 | + | 0.0109278i | \(0.00347851\pi\) | |||||||
\(450\) | −7.04045 | + | 13.2451i | −0.331890 | + | 0.624379i | ||||
\(451\) | 5.43165 | − | 14.9233i | 0.255766 | − | 0.702713i | ||||
\(452\) | 6.16596 | + | 16.9408i | 0.290022 | + | 0.796830i | ||||
\(453\) | 0.520315 | + | 1.58029i | 0.0244465 | + | 0.0742484i | ||||
\(454\) | 1.53745 | + | 8.71933i | 0.0721563 | + | 0.409219i | ||||
\(455\) | 8.55813 | + | 16.2462i | 0.401211 | + | 0.761635i | ||||
\(456\) | −2.04272 | + | 7.26824i | −0.0956594 | + | 0.340366i | ||||
\(457\) | 2.87134i | 0.134316i | 0.997742 | + | 0.0671579i | \(0.0213931\pi\) | ||||
−0.997742 | + | 0.0671579i | \(0.978607\pi\) | |||||||
\(458\) | −5.66028 | + | 0.998060i | −0.264488 | + | 0.0466363i | ||||
\(459\) | −21.1409 | − | 10.0055i | −0.986774 | − | 0.467017i | ||||
\(460\) | 0.430206 | − | 0.474105i | 0.0200584 | − | 0.0221053i | ||||
\(461\) | −2.47802 | + | 6.80830i | −0.115413 | + | 0.317094i | −0.983927 | − | 0.178570i | \(-0.942853\pi\) |
0.868514 | + | 0.495664i | \(0.165075\pi\) | |||||||
\(462\) | 9.18599 | − | 4.93050i | 0.427371 | − | 0.229388i | ||||
\(463\) | −30.3512 | − | 17.5233i | −1.41054 | − | 0.814375i | −0.415100 | − | 0.909776i | \(-0.636253\pi\) |
−0.995439 | + | 0.0954009i | \(0.969587\pi\) | |||||||
\(464\) | −0.535665 | − | 0.927798i | −0.0248676 | − | 0.0430720i | ||||
\(465\) | 29.1542 | + | 2.03686i | 1.35199 | + | 0.0944570i | ||||
\(466\) | −12.8403 | − | 2.26410i | −0.594817 | − | 0.104882i | ||||
\(467\) | −2.99468 | − | 5.18694i | −0.138577 | − | 0.240023i | 0.788381 | − | 0.615187i | \(-0.210920\pi\) |
−0.926958 | + | 0.375164i | \(0.877586\pi\) | |||||||
\(468\) | −7.39986 | + | 2.18472i | −0.342058 | + | 0.100989i | ||||
\(469\) | −7.37826 | + | 8.79307i | −0.340696 | + | 0.406026i | ||||
\(470\) | 1.77732 | + | 13.0098i | 0.0819815 | + | 0.600098i | ||||
\(471\) | −0.0820184 | + | 2.64562i | −0.00377921 | + | 0.121904i | ||||
\(472\) | −3.62878 | − | 4.32461i | −0.167028 | − | 0.199056i | ||||
\(473\) | −0.914413 | − | 5.18590i | −0.0420448 | − | 0.238448i | ||||
\(474\) | −1.42364 | − | 0.568714i | −0.0653898 | − | 0.0261219i | ||||
\(475\) | −16.2887 | + | 14.4802i | −0.747378 | + | 0.664399i | ||||
\(476\) | − | 14.3724i | − | 0.658756i | ||||||
\(477\) | −23.9924 | − | 15.9112i | −1.09853 | − | 0.728522i | ||||
\(478\) | −9.41552 | + | 7.90056i | −0.430656 | + | 0.361363i | ||||
\(479\) | −9.30109 | − | 25.5545i | −0.424978 | − | 1.16762i | −0.948824 | − | 0.315804i | \(-0.897726\pi\) |
0.523847 | − | 0.851812i | \(-0.324496\pi\) | |||||||
\(480\) | 0.936729 | − | 3.75800i | 0.0427556 | − | 0.171528i | ||||
\(481\) | 19.4535 | + | 16.3234i | 0.887002 | + | 0.744283i | ||||
\(482\) | −7.16336 | + | 12.4073i | −0.326282 | + | 0.565137i | ||||
\(483\) | 1.56710 | − | 0.226501i | 0.0713055 | − | 0.0103062i | ||||
\(484\) | −1.29303 | + | 7.33315i | −0.0587742 | + | 0.333325i | ||||
\(485\) | −3.15744 | − | 9.84656i | −0.143372 | − | 0.447109i | ||||
\(486\) | −3.00687 | − | 15.2957i | −0.136394 | − | 0.693827i | ||||
\(487\) | 19.2855 | − | 33.4034i | 0.873908 | − | 1.51365i | 0.0159876 | − | 0.999872i | \(-0.494911\pi\) |
0.857921 | − | 0.513782i | \(-0.171756\pi\) | |||||||
\(488\) | 7.69235 | − | 9.16739i | 0.348216 | − | 0.414988i | ||||
\(489\) | −21.4356 | + | 23.9948i | −0.969349 | + | 1.08508i | ||||
\(490\) | −5.29100 | − | 4.80108i | −0.239023 | − | 0.216891i | ||||
\(491\) | 15.8174 | + | 18.8504i | 0.713828 | + | 0.850707i | 0.994016 | − | 0.109238i | \(-0.0348411\pi\) |
−0.280188 | + | 0.959945i | \(0.590397\pi\) | |||||||
\(492\) | 2.97784 | − | 14.2844i | 0.134251 | − | 0.643990i | ||||
\(493\) | 4.82230 | 0.217185 | ||||||||
\(494\) | −11.1843 | − | 0.766827i | −0.503205 | − | 0.0345012i | ||||
\(495\) | −3.43730 | + | 12.1697i | −0.154495 | + | 0.546989i | ||||
\(496\) | −7.43128 | + | 1.31034i | −0.333674 | + | 0.0588358i | ||||
\(497\) | 21.3879 | + | 25.4890i | 0.959376 | + | 1.14334i | ||||
\(498\) | 0.418219 | − | 13.4902i | 0.0187408 | − | 0.604511i | ||||
\(499\) | 6.19912 | + | 2.25629i | 0.277511 | + | 0.101006i | 0.477026 | − | 0.878889i | \(-0.341715\pi\) |
−0.199516 | + | 0.979895i | \(0.563937\pi\) | |||||||
\(500\) | 8.13171 | − | 7.67303i | 0.363661 | − | 0.343148i | ||||
\(501\) | −1.55213 | − | 1.97069i | −0.0693441 | − | 0.0880438i | ||||
\(502\) | 1.91436 | + | 3.31577i | 0.0854420 | + | 0.147990i | ||||
\(503\) | 1.59978 | − | 9.07278i | 0.0713304 | − | 0.404535i | −0.928147 | − | 0.372214i | \(-0.878599\pi\) |
0.999478 | − | 0.0323214i | \(-0.0102900\pi\) | |||||||
\(504\) | 7.70522 | − | 5.69087i | 0.343218 | − | 0.253492i | ||||
\(505\) | 6.19071 | − | 9.82277i | 0.275483 | − | 0.437108i | ||||
\(506\) | 0.269861 | − | 0.467413i | 0.0119968 | − | 0.0207791i | ||||
\(507\) | 5.23052 | + | 9.74495i | 0.232295 | + | 0.432788i | ||||
\(508\) | 6.15086 | + | 2.23873i | 0.272900 | + | 0.0993276i | ||||
\(509\) | −24.8094 | + | 9.02989i | −1.09966 | + | 0.400243i | −0.827190 | − | 0.561922i | \(-0.810062\pi\) |
−0.272468 | + | 0.962165i | \(0.587840\pi\) | |||||||
\(510\) | 12.5411 | + | 12.1093i | 0.555331 | + | 0.536210i | ||||
\(511\) | 2.75844 | + | 15.6439i | 0.122026 | + | 0.692045i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 3.64047 | − | 22.3550i | 0.160731 | − | 0.986998i | ||||
\(514\) | −28.8798 | −1.27383 | ||||||||
\(515\) | 24.1561 | + | 31.1652i | 1.06445 | + | 1.37330i | ||||
\(516\) | −1.51311 | − | 4.59559i | −0.0666111 | − | 0.202310i | ||||
\(517\) | 3.78613 | + | 10.4023i | 0.166514 | + | 0.457493i | ||||
\(518\) | −29.6262 | − | 10.7831i | −1.30170 | − | 0.473780i | ||||
\(519\) | 26.9514 | − | 14.4660i | 1.18304 | − | 0.634985i | ||||
\(520\) | 5.74657 | + | 0.222849i | 0.252004 | + | 0.00977256i | ||||
\(521\) | −0.0270266 | − | 0.0468115i | −0.00118406 | − | 0.00205085i | 0.865433 | − | 0.501025i | \(-0.167044\pi\) |
−0.866617 | + | 0.498974i | \(0.833710\pi\) | |||||||
\(522\) | 1.90944 | + | 2.58530i | 0.0835737 | + | 0.113155i | ||||
\(523\) | −7.73008 | + | 43.8395i | −0.338013 | + | 1.91697i | 0.0571726 | + | 0.998364i | \(0.481791\pi\) |
−0.395185 | + | 0.918601i | \(0.629320\pi\) | |||||||
\(524\) | −7.99184 | + | 4.61409i | −0.349125 | + | 0.201568i | ||||
\(525\) | 27.5918 | − | 1.82430i | 1.20421 | − | 0.0796188i | ||||
\(526\) | 4.18854 | − | 4.99171i | 0.182629 | − | 0.217649i | ||||
\(527\) | 11.6170 | − | 31.9175i | 0.506046 | − | 1.39035i | ||||
\(528\) | 0.101176 | − | 3.26358i | 0.00440313 | − | 0.142029i | ||||
\(529\) | −17.5562 | + | 14.7314i | −0.763314 | + | 0.640497i | ||||
\(530\) | 13.1456 | + | 16.9599i | 0.571007 | + | 0.736690i | ||||
\(531\) | 12.2746 | + | 11.6691i | 0.532671 | + | 0.506395i | ||||
\(532\) | 13.3735 | − | 3.85445i | 0.579816 | − | 0.167112i | ||||
\(533\) | 21.6665 | 0.938479 | ||||||||
\(534\) | 27.8348 | + | 5.80268i | 1.20453 | + | 0.251106i | ||||
\(535\) | −7.82195 | − | 3.19539i | −0.338172 | − | 0.138149i | ||||
\(536\) | 1.22954 | + | 3.37812i | 0.0531079 | + | 0.145913i | ||||
\(537\) | −17.1639 | − | 15.3332i | −0.740675 | − | 0.661675i | ||||
\(538\) | 0.107279 | − | 0.127850i | 0.00462512 | − | 0.00551201i | ||||
\(539\) | −5.21632 | − | 3.01164i | −0.224683 | − | 0.129721i | ||||
\(540\) | −1.52620 | + | 11.5183i | −0.0656772 | + | 0.495668i | ||||
\(541\) | −5.70649 | + | 32.3631i | −0.245341 | + | 1.39140i | 0.574358 | + | 0.818604i | \(0.305252\pi\) |
−0.819699 | + | 0.572794i | \(0.805859\pi\) | |||||||
\(542\) | 5.85499 | + | 1.03239i | 0.251493 | + | 0.0443450i | ||||
\(543\) | 37.3173 | − | 5.39366i | 1.60144 | − | 0.231464i | ||||
\(544\) | −3.89818 | − | 2.25061i | −0.167133 | − | 0.0964943i | ||||
\(545\) | 7.27228 | − | 33.5767i | 0.311510 | − | 1.43827i | ||||
\(546\) | 10.6073 | + | 9.47594i | 0.453951 | + | 0.405533i | ||||
\(547\) | 4.08846 | − | 1.48808i | 0.174810 | − | 0.0636257i | −0.253132 | − | 0.967432i | \(-0.581461\pi\) |
0.427942 | + | 0.903806i | \(0.359239\pi\) | |||||||
\(548\) | −4.52068 | + | 3.79330i | −0.193114 | + | 0.162042i | ||||
\(549\) | −19.8422 | + | 29.9200i | −0.846845 | + | 1.27695i | ||||
\(550\) | 5.33083 | − | 7.77337i | 0.227307 | − | 0.331458i | ||||
\(551\) | 1.29327 | + | 4.48716i | 0.0550951 | + | 0.191160i | ||||
\(552\) | 0.183964 | − | 0.460509i | 0.00783003 | − | 0.0196006i | ||||
\(553\) | 0.490746 | + | 2.78316i | 0.0208686 | + | 0.118352i | ||||
\(554\) | 23.4409 | − | 19.6692i | 0.995907 | − | 0.835665i | ||||
\(555\) | 34.3705 | − | 16.7662i | 1.45895 | − | 0.711687i | ||||
\(556\) | 13.7027 | + | 4.98737i | 0.581124 | + | 0.211512i | ||||
\(557\) | −12.7436 | − | 10.6931i | −0.539962 | − | 0.453082i | 0.331563 | − | 0.943433i | \(-0.392424\pi\) |
−0.871525 | + | 0.490351i | \(0.836869\pi\) | |||||||
\(558\) | 21.7113 | − | 6.41000i | 0.919112 | − | 0.271357i | ||||
\(559\) | 6.22173 | − | 3.59212i | 0.263151 | − | 0.151930i | ||||
\(560\) | −6.79874 | + | 2.18012i | −0.287299 | + | 0.0921267i | ||||
\(561\) | 12.4943 | + | 7.73946i | 0.527510 | + | 0.326760i | ||||
\(562\) | −27.0467 | + | 15.6154i | −1.14090 | + | 0.658698i | ||||
\(563\) | 17.4597 | + | 10.0804i | 0.735840 | + | 0.424838i | 0.820555 | − | 0.571568i | \(-0.193665\pi\) |
−0.0847147 | + | 0.996405i | \(0.526998\pi\) | |||||||
\(564\) | 4.81010 | + | 8.96167i | 0.202542 | + | 0.377354i | ||||
\(565\) | 5.45647 | + | 39.9410i | 0.229555 | + | 1.68033i | ||||
\(566\) | 11.3528 | − | 4.13207i | 0.477192 | − | 0.173684i | ||||
\(567\) | −21.0519 | + | 19.5608i | −0.884098 | + | 0.821475i | ||||
\(568\) | 10.2625 | − | 1.80956i | 0.430606 | − | 0.0759275i | ||||
\(569\) | −23.8006 | −0.997772 | −0.498886 | − | 0.866668i | \(-0.666257\pi\) | ||||
−0.498886 | + | 0.866668i | \(0.666257\pi\) | |||||||
\(570\) | −7.90444 | + | 14.9171i | −0.331080 | + | 0.624809i | ||||
\(571\) | 5.58010 | 0.233520 | 0.116760 | − | 0.993160i | \(-0.462749\pi\) | ||||
0.116760 | + | 0.993160i | \(0.462749\pi\) | |||||||
\(572\) | 4.77467 | − | 0.841903i | 0.199639 | − | 0.0352017i | ||||
\(573\) | 2.46269 | + | 7.47963i | 0.102881 | + | 0.312466i | ||||
\(574\) | −25.2767 | + | 9.19998i | −1.05503 | + | 0.384000i | ||||
\(575\) | 1.16458 | − | 0.832478i | 0.0485663 | − | 0.0347168i | ||||
\(576\) | −0.336936 | − | 2.98102i | −0.0140390 | − | 0.124209i | ||||
\(577\) | 10.8693 | + | 6.27539i | 0.452495 | + | 0.261248i | 0.708883 | − | 0.705326i | \(-0.249199\pi\) |
−0.256388 | + | 0.966574i | \(0.582533\pi\) | |||||||
\(578\) | 2.82416 | − | 1.63053i | 0.117470 | − | 0.0678212i | ||||
\(579\) | −13.8826 | + | 22.4116i | −0.576941 | + | 0.931393i | ||||
\(580\) | −0.731485 | − | 2.28115i | −0.0303733 | − | 0.0947197i | ||||
\(581\) | −21.5474 | + | 12.4404i | −0.893936 | + | 0.516114i | ||||
\(582\) | −4.95591 | − | 6.29234i | −0.205429 | − | 0.260826i | ||||
\(583\) | 13.8580 | + | 11.6282i | 0.573938 | + | 0.481591i | ||||
\(584\) | 4.67501 | + | 1.70156i | 0.193453 | + | 0.0704112i | ||||
\(585\) | −17.2057 | + | 1.27191i | −0.711369 | + | 0.0525870i | ||||
\(586\) | 16.3728 | − | 13.7384i | 0.676354 | − | 0.567528i | ||||
\(587\) | −6.10638 | − | 34.6310i | −0.252037 | − | 1.42937i | −0.803565 | − | 0.595217i | \(-0.797066\pi\) |
0.551528 | − | 0.834157i | \(-0.314045\pi\) | |||||||
\(588\) | −5.13927 | − | 2.05303i | −0.211940 | − | 0.0846656i | ||||
\(589\) | 32.8149 | + | 2.24988i | 1.35211 | + | 0.0927048i | ||||
\(590\) | −5.88335 | − | 11.1686i | −0.242214 | − | 0.459804i | ||||
\(591\) | 8.56061 | − | 41.0644i | 0.352137 | − | 1.68916i | ||||
\(592\) | −7.56393 | + | 6.34689i | −0.310876 | + | 0.260856i | ||||
\(593\) | −7.31195 | + | 2.66133i | −0.300266 | + | 0.109288i | −0.487760 | − | 0.872978i | \(-0.662186\pi\) |
0.187494 | + | 0.982266i | \(0.439964\pi\) | |||||||
\(594\) | 0.798009 | + | 9.76287i | 0.0327427 | + | 0.400576i | ||||
\(595\) | 6.80286 | − | 31.4093i | 0.278890 | − | 1.28766i | ||||
\(596\) | −1.84943 | − | 1.06777i | −0.0757555 | − | 0.0437375i | ||||
\(597\) | 3.92917 | + | 27.1849i | 0.160810 | + | 1.11260i | ||||
\(598\) | 0.725154 | + | 0.127864i | 0.0296537 | + | 0.00522875i | ||||
\(599\) | 1.69976 | − | 9.63984i | 0.0694505 | − | 0.393873i | −0.930190 | − | 0.367077i | \(-0.880358\pi\) |
0.999641 | − | 0.0267959i | \(-0.00853043\pi\) | |||||||
\(600\) | 3.82589 | − | 7.76933i | 0.156191 | − | 0.317182i | ||||
\(601\) | 1.41583 | + | 0.817430i | 0.0577530 | + | 0.0333437i | 0.528598 | − | 0.848872i | \(-0.322718\pi\) |
−0.470845 | + | 0.882216i | \(0.656051\pi\) | |||||||
\(602\) | −5.73317 | + | 6.83253i | −0.233667 | + | 0.278473i | ||||
\(603\) | −4.80348 | − | 9.65598i | −0.195613 | − | 0.393222i | ||||
\(604\) | −0.328531 | − | 0.902633i | −0.0133678 | − | 0.0367276i | ||||
\(605\) | −6.29679 | + | 15.4138i | −0.256001 | + | 0.626661i | ||||
\(606\) | 1.83545 | − | 8.80444i | 0.0745599 | − | 0.357656i | ||||
\(607\) | −14.8461 | −0.602586 | −0.301293 | − | 0.953532i | \(-0.597418\pi\) | ||||
−0.301293 | + | 0.953532i | \(0.597418\pi\) | |||||||
\(608\) | 1.04877 | − | 4.23085i | 0.0425333 | − | 0.171584i | ||||
\(609\) | 2.19798 | − | 5.50211i | 0.0890667 | − | 0.222957i | ||||
\(610\) | 21.1500 | − | 16.3934i | 0.856340 | − | 0.663748i | ||||
\(611\) | −11.5693 | + | 9.70776i | −0.468042 | + | 0.392734i | ||||
\(612\) | 12.3789 | + | 5.39569i | 0.500386 | + | 0.218108i | ||||
\(613\) | −4.89523 | + | 13.4495i | −0.197716 | + | 0.543221i | −0.998441 | − | 0.0558110i | \(-0.982226\pi\) |
0.800725 | + | 0.599032i | \(0.204448\pi\) | |||||||
\(614\) | 1.87133 | − | 2.23016i | 0.0755206 | − | 0.0900020i | ||||
\(615\) | 13.2690 | − | 29.8075i | 0.535057 | − | 1.20196i | ||||
\(616\) | −5.21278 | + | 3.00960i | −0.210029 | + | 0.121260i | ||||
\(617\) | −2.83935 | + | 16.1028i | −0.114308 | + | 0.648273i | 0.872782 | + | 0.488110i | \(0.162313\pi\) |
−0.987090 | + | 0.160164i | \(0.948798\pi\) | |||||||
\(618\) | 25.9651 | + | 16.0838i | 1.04447 | + | 0.646984i | ||||
\(619\) | 21.6943 | + | 37.5757i | 0.871969 | + | 1.51029i | 0.859957 | + | 0.510367i | \(0.170490\pi\) |
0.0120124 | + | 0.999928i | \(0.496176\pi\) | |||||||
\(620\) | −16.8605 | − | 0.653842i | −0.677135 | − | 0.0262589i | ||||
\(621\) | −0.393238 | + | 1.43477i | −0.0157801 | + | 0.0575754i | ||||
\(622\) | 4.80317 | + | 1.74821i | 0.192590 | + | 0.0700969i | ||||
\(623\) | −17.9273 | − | 49.2548i | −0.718241 | − | 1.97335i | ||||
\(624\) | 4.23117 | − | 1.39313i | 0.169382 | − | 0.0557697i | ||||
\(625\) | 21.4029 | − | 12.9196i | 0.856115 | − | 0.516785i | ||||
\(626\) | −17.7595 | −0.709811 | ||||||||
\(627\) | −3.85081 | + | 13.7016i | −0.153786 | + | 0.547189i | ||||
\(628\) | − | 1.52818i | − | 0.0609811i | ||||||
\(629\) | −7.71782 | − | 43.7699i | −0.307730 | − | 1.74522i | ||||
\(630\) | 19.5326 | − | 8.78971i | 0.778198 | − | 0.350190i | ||||
\(631\) | −24.2851 | + | 8.83905i | −0.966774 | + | 0.351877i | −0.776684 | − | 0.629890i | \(-0.783100\pi\) |
−0.190089 | + | 0.981767i | \(0.560878\pi\) | |||||||
\(632\) | 0.831717 | + | 0.302720i | 0.0330839 | + | 0.0120416i | ||||
\(633\) | −0.329377 | + | 0.176790i | −0.0130916 | + | 0.00702679i | ||||
\(634\) | −8.12091 | + | 14.0658i | −0.322522 | + | 0.558625i | ||||
\(635\) | 12.3824 | + | 7.80390i | 0.491381 | + | 0.309688i | ||||
\(636\) | 14.1300 | + | 8.75268i | 0.560291 | + | 0.347066i | ||||
\(637\) | 1.42696 | − | 8.09269i | 0.0565382 | − | 0.320644i | ||||
\(638\) | −1.00980 | − | 1.74902i | −0.0399783 | − | 0.0692445i | ||||
\(639\) | −29.9831 | + | 8.85215i | −1.18611 | + | 0.350186i | ||||
\(640\) | −0.473329 | + | 2.18540i | −0.0187100 | + | 0.0863854i | ||||
\(641\) | −15.5031 | − | 5.64265i | −0.612334 | − | 0.222871i | 0.0171901 | − | 0.999852i | \(-0.494528\pi\) |
−0.629524 | + | 0.776981i | \(0.716750\pi\) | |||||||
\(642\) | −6.54178 | − | 0.202806i | −0.258184 | − | 0.00800411i | ||||
\(643\) | −24.3479 | − | 29.0167i | −0.960189 | − | 1.14431i | −0.989470 | − | 0.144737i | \(-0.953766\pi\) |
0.0292811 | − | 0.999571i | \(-0.490678\pi\) | |||||||
\(644\) | −0.900279 | + | 0.158743i | −0.0354760 | + | 0.00625537i | ||||
\(645\) | −1.13153 | − | 10.7594i | −0.0445538 | − | 0.423651i | ||||
\(646\) | 14.1322 | + | 13.6103i | 0.556025 | + | 0.535490i | ||||
\(647\) | 16.5508 | 0.650681 | 0.325340 | − | 0.945597i | \(-0.394521\pi\) | ||||
0.325340 | + | 0.945597i | \(0.394521\pi\) | |||||||
\(648\) | 2.00883 | + | 8.77295i | 0.0789142 | + | 0.344634i | ||||
\(649\) | −6.84073 | − | 8.15246i | −0.268522 | − | 0.320012i | ||||
\(650\) | 12.4530 | + | 3.20703i | 0.488449 | + | 0.125790i | ||||
\(651\) | −31.1220 | − | 27.8026i | −1.21977 | − | 1.08967i | ||||
\(652\) | 11.9406 | − | 14.2303i | 0.467630 | − | 0.557300i | ||||
\(653\) | −6.56709 | + | 11.3745i | −0.256990 | + | 0.445120i | −0.965434 | − | 0.260647i | \(-0.916064\pi\) |
0.708444 | + | 0.705767i | \(0.249397\pi\) | |||||||
\(654\) | −3.80673 | − | 26.3377i | −0.148855 | − | 1.02989i | ||||
\(655\) | −19.6493 | + | 6.30085i | −0.767763 | + | 0.246194i | ||||
\(656\) | −1.46288 | + | 8.29640i | −0.0571159 | + | 0.323920i | ||||
\(657\) | −14.5096 | − | 3.49722i | −0.566074 | − | 0.136439i | ||||
\(658\) | 9.37494 | − | 16.2379i | 0.365473 | − | 0.633018i | ||||
\(659\) | −31.3378 | − | 26.2955i | −1.22075 | − | 1.02433i | −0.998785 | − | 0.0492720i | \(-0.984310\pi\) |
−0.221961 | − | 0.975056i | \(-0.571246\pi\) | |||||||
\(660\) | 1.76586 | − | 7.08432i | 0.0687359 | − | 0.275757i | ||||
\(661\) | −12.8377 | − | 35.2714i | −0.499330 | − | 1.37190i | −0.891923 | − | 0.452187i | \(-0.850644\pi\) |
0.392593 | − | 0.919712i | \(-0.371578\pi\) | |||||||
\(662\) | 7.73277 | − | 6.48857i | 0.300543 | − | 0.252185i | ||||
\(663\) | −4.09208 | + | 19.6293i | −0.158923 | + | 0.762337i | ||||
\(664\) | 7.79233i | 0.302401i | ||||||||
\(665\) | 31.0509 | − | 2.09342i | 1.20410 | − | 0.0811793i | ||||
\(666\) | 20.4097 | − | 21.4688i | 0.790860 | − | 0.831898i | ||||
\(667\) | −0.0532625 | − | 0.302067i | −0.00206233 | − | 0.0116961i | ||||
\(668\) | 0.930949 | + | 1.10946i | 0.0360195 | + | 0.0429264i | ||||
\(669\) | 23.1059 | + | 0.716320i | 0.893325 | + | 0.0276945i | ||||
\(670\) | 1.08806 | + | 7.96452i | 0.0420354 | + | 0.307696i | ||||
\(671\) | 14.5011 | − | 17.2817i | 0.559809 | − | 0.667154i | ||||
\(672\) | −4.34466 | + | 3.42190i | −0.167599 | + | 0.132003i | ||||
\(673\) | −14.3693 | − | 24.8884i | −0.553898 | − | 0.959379i | −0.997988 | − | 0.0633971i | \(-0.979807\pi\) |
0.444091 | − | 0.895982i | \(-0.353527\pi\) | |||||||
\(674\) | 32.6297 | + | 5.75350i | 1.25685 | + | 0.221617i | ||||
\(675\) | −8.78729 | + | 24.4496i | −0.338223 | + | 0.941066i | ||||
\(676\) | −3.19273 | − | 5.52997i | −0.122797 | − | 0.212691i | ||||
\(677\) | 7.88431 | + | 4.55201i | 0.303019 | + | 0.174948i | 0.643798 | − | 0.765195i | \(-0.277358\pi\) |
−0.340780 | + | 0.940143i | \(0.610691\pi\) | |||||||
\(678\) | 14.7673 | + | 27.5129i | 0.567135 | + | 1.05663i | ||||
\(679\) | −5.05012 | + | 13.8751i | −0.193806 | + | 0.532477i | ||||
\(680\) | −7.45379 | − | 6.76361i | −0.285840 | − | 0.259373i | ||||
\(681\) | 4.79593 | + | 14.5661i | 0.183780 | + | 0.558173i | ||||
\(682\) | −14.0089 | + | 2.47016i | −0.536430 | + | 0.0945871i | ||||
\(683\) | 20.7524i | 0.794069i | 0.917804 | + | 0.397035i | \(0.129961\pi\) | ||||
−0.917804 | + | 0.397035i | \(0.870039\pi\) | |||||||
\(684\) | −1.70088 | + | 12.9656i | −0.0650348 | + | 0.495752i | ||||
\(685\) | −11.6750 | + | 6.15010i | −0.446077 | + | 0.234983i | ||||
\(686\) | −2.10962 | − | 11.9643i | −0.0805457 | − | 0.456797i | ||||
\(687\) | −9.45578 | + | 3.11335i | −0.360761 | + | 0.118782i | ||||
\(688\) | 0.955393 | + | 2.62492i | 0.0364240 | + | 0.100074i | ||||
\(689\) | −8.44121 | + | 23.1920i | −0.321585 | + | 0.883546i | ||||
\(690\) | 0.620007 | − | 0.919320i | 0.0236033 | − | 0.0349979i | ||||
\(691\) | −12.7193 | + | 22.0305i | −0.483865 | + | 0.838079i | −0.999828 | − | 0.0185318i | \(-0.994101\pi\) |
0.515963 | + | 0.856611i | \(0.327434\pi\) | |||||||
\(692\) | −15.2942 | + | 8.83008i | −0.581397 | + | 0.335669i | ||||
\(693\) | 14.5253 | − | 10.7280i | 0.551772 | − | 0.407525i | ||||
\(694\) | −8.43464 | − | 1.48725i | −0.320174 | − | 0.0564554i | ||||
\(695\) | 27.5852 | + | 17.3853i | 1.04636 | + | 0.659461i | ||||
\(696\) | −1.14814 | − | 1.45775i | −0.0435199 | − | 0.0552557i | ||||
\(697\) | −29.0485 | − | 24.3746i | −1.10029 | − | 0.923253i | ||||
\(698\) | −7.81687 | + | 21.4767i | −0.295873 | + | 0.812904i | ||||
\(699\) | −22.5723 | − | 0.699779i | −0.853764 | − | 0.0264681i | ||||
\(700\) | −15.8899 | + | 1.54637i | −0.600580 | + | 0.0584475i | ||||
\(701\) | −23.4423 | + | 4.13352i | −0.885405 | + | 0.156121i | −0.597816 | − | 0.801633i | \(-0.703965\pi\) |
−0.287589 | + | 0.957754i | \(0.592854\pi\) | |||||||
\(702\) | −12.1438 | + | 5.57858i | −0.458339 | + | 0.210550i | ||||
\(703\) | 38.6583 | − | 18.9199i | 1.45802 | − | 0.713577i | ||||
\(704\) | 1.88513i | 0.0710486i | ||||||||
\(705\) | 6.27016 | + | 21.8616i | 0.236148 | + | 0.823354i | ||||
\(706\) | 7.28291 | + | 8.67944i | 0.274096 | + | 0.326655i | ||||
\(707\) | −15.5798 | + | 5.67058i | −0.585938 | + | 0.213264i | ||||
\(708\) | −7.29209 | − | 6.51431i | −0.274053 | − | 0.244823i | ||||
\(709\) | −19.3417 | − | 16.2296i | −0.726394 | − | 0.609517i | 0.202752 | − | 0.979230i | \(-0.435012\pi\) |
−0.929146 | + | 0.369713i | \(0.879456\pi\) | |||||||
\(710\) | 23.2842 | + | 0.902949i | 0.873841 | + | 0.0338871i | ||||
\(711\) | −2.58136 | − | 0.622179i | −0.0968086 | − | 0.0233335i | ||||
\(712\) | −16.1665 | − | 2.85060i | −0.605867 | − | 0.106831i | ||||
\(713\) | −2.12761 | − | 0.375155i | −0.0796797 | − | 0.0140497i | ||||
\(714\) | −3.56101 | − | 24.6376i | −0.133267 | − | 0.922040i | ||||
\(715\) | 10.8330 | + | 0.420099i | 0.405133 | + | 0.0157108i | ||||
\(716\) | 10.1791 | + | 8.54129i | 0.380411 | + | 0.319203i | ||||
\(717\) | −14.1829 | + | 15.8763i | −0.529671 | + | 0.592911i | ||||
\(718\) | 9.63819 | − | 3.50801i | 0.359694 | − | 0.130918i | ||||
\(719\) | 22.0987 | + | 26.3362i | 0.824141 | + | 0.982174i | 0.999997 | − | 0.00224233i | \(-0.000713756\pi\) |
−0.175856 | + | 0.984416i | \(0.556269\pi\) | |||||||
\(720\) | 0.674665 | − | 6.67419i | 0.0251433 | − | 0.248732i | ||||
\(721\) | − | 56.3050i | − | 2.09691i | ||||||
\(722\) | −8.87438 | + | 16.8002i | −0.330270 | + | 0.625237i | ||||
\(723\) | −9.20557 | + | 23.0439i | −0.342359 | + | 0.857012i | ||||
\(724\) | −21.4383 | + | 3.78015i | −0.796748 | + | 0.140488i | ||||
\(725\) | −0.518849 | − | 5.33146i | −0.0192696 | − | 0.198005i | ||||
\(726\) | −0.399646 | + | 12.8911i | −0.0148323 | + | 0.478435i | ||||
\(727\) | −6.60624 | + | 18.1505i | −0.245012 | + | 0.673164i | 0.754839 | + | 0.655910i | \(0.227715\pi\) |
−0.999851 | + | 0.0172546i | \(0.994507\pi\) | |||||||
\(728\) | −6.29072 | − | 5.27854i | −0.233150 | − | 0.195636i | ||||
\(729\) | −8.94427 | − | 25.4755i | −0.331269 | − | 0.943536i | ||||
\(730\) | 9.41135 | + | 5.93141i | 0.348330 | + | 0.219531i | ||||
\(731\) | −12.3826 | − | 2.18339i | −0.457988 | − | 0.0807557i | ||||
\(732\) | 10.9151 | − | 17.6210i | 0.403435 | − | 0.651291i | ||||
\(733\) | −15.0617 | + | 8.69587i | −0.556316 | + | 0.321189i | −0.751666 | − | 0.659545i | \(-0.770749\pi\) |
0.195350 | + | 0.980734i | \(0.437416\pi\) | |||||||
\(734\) | −3.47154 | + | 6.01288i | −0.128137 | + | 0.221940i | ||||
\(735\) | −10.2596 | − | 6.91926i | −0.378430 | − | 0.255221i | ||||
\(736\) | −0.0979220 | + | 0.269039i | −0.00360945 | + | 0.00991689i | ||||
\(737\) | 2.31784 | + | 6.36821i | 0.0853787 | + | 0.234576i | ||||
\(738\) | 1.56551 | − | 25.2246i | 0.0576274 | − | 0.928532i | ||||
\(739\) | −5.42610 | − | 30.7729i | −0.199602 | − | 1.13200i | −0.905710 | − | 0.423897i | \(-0.860662\pi\) |
0.706108 | − | 0.708104i | \(-0.250449\pi\) | |||||||
\(740\) | −19.5344 | + | 10.2902i | −0.718097 | + | 0.378277i | ||||
\(741\) | −19.3625 | + | 1.45658i | −0.711300 | + | 0.0535089i | ||||
\(742\) | − | 30.6408i | − | 1.12486i | ||||||
\(743\) | −16.0959 | + | 2.83815i | −0.590503 | + | 0.104122i | −0.460912 | − | 0.887446i | \(-0.652478\pi\) |
−0.129591 | + | 0.991568i | \(0.541366\pi\) | |||||||
\(744\) | −12.4143 | + | 4.08746i | −0.455131 | + | 0.149854i | ||||
\(745\) | −3.53633 | − | 3.20889i | −0.129561 | − | 0.117564i | ||||
\(746\) | −0.351197 | + | 0.964906i | −0.0128582 | + | 0.0353277i | ||||
\(747\) | −2.62552 | − | 23.2291i | −0.0960626 | − | 0.849907i | ||||
\(748\) | −7.34858 | − | 4.24271i | −0.268691 | − | 0.155129i | ||||
\(749\) | 6.03269 | + | 10.4489i | 0.220430 | + | 0.381795i | ||||
\(750\) | 12.0386 | − | 15.1682i | 0.439586 | − | 0.553863i | ||||
\(751\) | −32.2022 | − | 5.67811i | −1.17507 | − | 0.207197i | −0.448178 | − | 0.893944i | \(-0.647927\pi\) |
−0.726896 | + | 0.686747i | \(0.759038\pi\) | |||||||
\(752\) | −2.93611 | − | 5.08548i | −0.107069 | − | 0.185449i | ||||
\(753\) | 4.10321 | + | 5.20970i | 0.149529 | + | 0.189852i | ||||
\(754\) | 1.77109 | − | 2.11070i | 0.0644992 | − | 0.0768672i | ||||
\(755\) | −0.290729 | − | 2.12811i | −0.0105807 | − | 0.0774500i | ||||
\(756\) | 11.7986 | − | 11.6646i | 0.429109 | − | 0.424238i | ||||
\(757\) | −32.4060 | − | 38.6199i | −1.17781 | − | 1.40366i | −0.895918 | − | 0.444220i | \(-0.853481\pi\) |
−0.281897 | − | 0.959445i | \(-0.590964\pi\) | |||||||
\(758\) | 3.83881 | + | 21.7710i | 0.139432 | + | 0.790758i | ||||
\(759\) | 0.346796 | − | 0.868121i | 0.0125879 | − | 0.0315108i | ||||
\(760\) | 4.29457 | − | 8.74967i | 0.155780 | − | 0.317384i | ||||
\(761\) | 41.7929i | 1.51499i | 0.652839 | + | 0.757497i | \(0.273578\pi\) | ||||
−0.652839 | + | 0.757497i | \(0.726422\pi\) | |||||||
\(762\) | 11.0987 | + | 2.31373i | 0.402064 | + | 0.0838176i | ||||
\(763\) | −37.5801 | + | 31.5335i | −1.36049 | + | 1.14159i | ||||
\(764\) | −1.55497 | − | 4.27224i | −0.0562567 | − | 0.154564i | ||||
\(765\) | 24.4988 | + | 17.6510i | 0.885755 | + | 0.638173i | ||||
\(766\) | −21.8765 | − | 18.3565i | −0.790429 | − | 0.663248i | ||||
\(767\) | 7.25960 | − | 12.5740i | 0.262129 | − | 0.454021i | ||||
\(768\) | 0.247768 | + | 1.71424i | 0.00894055 | + | 0.0618572i | ||||
\(769\) | −7.15493 | + | 40.5776i | −0.258013 | + | 1.46327i | 0.530205 | + | 0.847870i | \(0.322115\pi\) |
−0.788218 | + | 0.615396i | \(0.788996\pi\) | |||||||
\(770\) | −12.8165 | + | 4.10981i | −0.461875 | + | 0.148107i | ||||
\(771\) | −49.5069 | + | 7.15549i | −1.78295 | + | 0.257699i | ||||
\(772\) | 7.61032 | − | 13.1815i | 0.273902 | − | 0.474411i | ||||
\(773\) | 7.79385 | − | 9.28835i | 0.280325 | − | 0.334079i | −0.607448 | − | 0.794359i | \(-0.707807\pi\) |
0.887774 | + | 0.460281i | \(0.152251\pi\) | |||||||
\(774\) | −3.73248 | − | 7.50304i | −0.134161 | − | 0.269691i | ||||
\(775\) | −36.5374 | − | 9.40948i | −1.31246 | − | 0.337999i | ||||
\(776\) | 2.97249 | + | 3.54248i | 0.106706 | + | 0.127168i | ||||
\(777\) | −53.4581 | − | 11.1443i | −1.91780 | − | 0.399800i | ||||
\(778\) | 11.6896 | 0.419092 | ||||||||
\(779\) | 14.8903 | − | 33.5666i | 0.533499 | − | 1.20265i | ||||
\(780\) | 9.90620 | − | 1.04180i | 0.354699 | − | 0.0373024i | ||||
\(781\) | 19.3462 | − | 3.41126i | 0.692262 | − | 0.122064i | ||||
\(782\) | −0.828376 | − | 0.987220i | −0.0296227 | − | 0.0353029i | ||||
\(783\) | 3.91378 | + | 3.95872i | 0.139867 | + | 0.141473i | ||||
\(784\) | 3.00246 | + | 1.09281i | 0.107231 | + | 0.0390288i | ||||
\(785\) | 0.723333 | − | 3.33968i | 0.0258169 | − | 0.119198i | ||||
\(786\) | −12.5567 | + | 9.88977i | −0.447882 | + | 0.352756i | ||||
\(787\) | 10.2542 | + | 17.7608i | 0.365524 | + | 0.633106i | 0.988860 | − | 0.148848i | \(-0.0475566\pi\) |
−0.623336 | + | 0.781954i | \(0.714223\pi\) | |||||||
\(788\) | −4.20545 | + | 23.8503i | −0.149813 | + | 0.849632i | ||||
\(789\) | 5.94337 | − | 9.59476i | 0.211590 | − | 0.341582i | ||||
\(790\) | 1.67434 | + | 1.05524i | 0.0595705 | + | 0.0375437i | ||||
\(791\) | 28.7817 | − | 49.8513i | 1.02336 | − | 1.77251i | ||||
\(792\) | −0.635169 | − | 5.61961i | −0.0225698 | − | 0.199684i | ||||
\(793\) | 28.9219 | + | 10.5267i | 1.02705 | + | 0.373815i | ||||
\(794\) | −14.0963 | + | 5.13064i | −0.500260 | + | 0.182080i | ||||
\(795\) | 26.7368 | + | 25.8162i | 0.948255 | + | 0.915607i | ||||
\(796\) | −2.75376 | − | 15.6174i | −0.0976045 | − | 0.553543i | ||||
\(797\) | − | 0.465766i | − | 0.0164983i | −0.999966 | − | 0.00824914i | \(-0.997374\pi\) | ||
0.999966 | − | 0.00824914i | \(-0.00262581\pi\) | |||||||
\(798\) | 21.9704 | − | 9.92097i | 0.777743 | − | 0.351199i | ||||
\(799\) | 26.4322 | 0.935103 | ||||||||
\(800\) | −2.06883 | + | 4.55192i | −0.0731440 | + | 0.160935i | ||||
\(801\) | 49.1532 | + | 3.05059i | 1.73674 | + | 0.107787i | ||||
\(802\) | 11.4862 | + | 31.5581i | 0.405592 | + | 1.11436i | ||||
\(803\) | 8.81301 | + | 3.20767i | 0.311004 | + | 0.113196i | ||||
\(804\) | 2.94471 | + | 5.48627i | 0.103852 | + | 0.193486i | ||||
\(805\) | −2.04260 | − | 0.0792111i | −0.0719923 | − | 0.00279182i | ||||
\(806\) | −9.70358 | − | 16.8071i | −0.341794 | − | 0.592005i | ||||
\(807\) | 0.152224 | − | 0.245746i | 0.00535855 | − | 0.00865066i | ||||
\(808\) | −0.901673 | + | 5.11364i | −0.0317207 | + | 0.179897i | ||||
\(809\) | −25.2035 | + | 14.5512i | −0.886106 | + | 0.511594i | −0.872667 | − | 0.488316i | \(-0.837611\pi\) |
−0.0134393 | + | 0.999910i | \(0.504278\pi\) | |||||||
\(810\) | 0.237588 | + | 20.1232i | 0.00834799 | + | 0.707058i | ||||
\(811\) | −5.58885 | + | 6.66053i | −0.196251 | + | 0.233883i | −0.855191 | − | 0.518312i | \(-0.826561\pi\) |
0.658940 | + | 0.752195i | \(0.271005\pi\) | |||||||
\(812\) | −1.16996 | + | 3.21444i | −0.0410576 | + | 0.112805i | ||||
\(813\) | 10.2926 | + | 0.319088i | 0.360978 | + | 0.0111909i | ||||
\(814\) | −14.2590 | + | 11.9647i | −0.499778 | + | 0.419363i | ||||
\(815\) | 32.8306 | − | 25.4469i | 1.15000 | − | 0.891367i | ||||
\(816\) | −7.24004 | − | 2.89225i | −0.253452 | − | 0.101249i | ||||
\(817\) | −1.28918 | − | 12.1076i | −0.0451028 | − | 0.423593i | ||||
\(818\) | 17.3147 | 0.605393 | ||||||||
\(819\) | 20.5313 | + | 13.6159i | 0.717422 | + | 0.475777i | ||||
\(820\) | −7.12391 | + | 17.4385i | −0.248778 | + | 0.608979i | ||||
\(821\) | 15.7911 | + | 43.3857i | 0.551114 | + | 1.51417i | 0.832192 | + | 0.554487i | \(0.187086\pi\) |
−0.281078 | + | 0.959685i | \(0.590692\pi\) | |||||||
\(822\) | −6.80966 | + | 7.62270i | −0.237514 | + | 0.265872i | ||||
\(823\) | 25.8235 | − | 30.7753i | 0.900151 | − | 1.07276i | −0.0968443 | − | 0.995300i | \(-0.530875\pi\) |
0.996996 | − | 0.0774589i | \(-0.0246807\pi\) | |||||||
\(824\) | −15.2715 | − | 8.81699i | −0.532007 | − | 0.307154i | ||||
\(825\) | 7.21232 | − | 14.6462i | 0.251101 | − | 0.509916i | ||||
\(826\) | −3.13011 | + | 17.7518i | −0.108911 | + | 0.617662i | ||||
\(827\) | 7.30634 | + | 1.28830i | 0.254066 | + | 0.0447987i | 0.299231 | − | 0.954181i | \(-0.403270\pi\) |
−0.0451644 | + | 0.998980i | \(0.514381\pi\) | |||||||
\(828\) | 0.201259 | − | 0.835003i | 0.00699422 | − | 0.0290183i | ||||
\(829\) | 5.44887 | + | 3.14591i | 0.189247 | + | 0.109262i | 0.591630 | − | 0.806210i | \(-0.298485\pi\) |
−0.402383 | + | 0.915471i | \(0.631818\pi\) | |||||||
\(830\) | −3.68834 | + | 17.0293i | −0.128024 | + | 0.591096i | ||||
\(831\) | 35.3098 | − | 39.5256i | 1.22488 | − | 1.37113i | ||||
\(832\) | −2.41677 | + | 0.879633i | −0.0837865 | + | 0.0304958i | ||||
\(833\) | −11.0173 | + | 9.24465i | −0.381728 | + | 0.320308i | ||||
\(834\) | 24.7254 | + | 5.15446i | 0.856170 | + | 0.178484i | ||||
\(835\) | 1.50935 | + | 2.86526i | 0.0522333 | + | 0.0991564i | ||||
\(836\) | 1.97707 | − | 7.97571i | 0.0683785 | − | 0.275846i | ||||
\(837\) | 35.6301 | − | 16.3676i | 1.23156 | − | 0.565748i | ||||
\(838\) | −5.67158 | − | 32.1651i | −0.195921 | − | 1.11113i | ||||
\(839\) | 29.9058 | − | 25.0940i | 1.03246 | − | 0.866341i | 0.0413223 | − | 0.999146i | \(-0.486843\pi\) |
0.991142 | + | 0.132805i | \(0.0423985\pi\) | |||||||
\(840\) | −11.1145 | + | 5.42175i | −0.383486 | + | 0.187068i | ||||
\(841\) | 26.1726 | + | 9.52603i | 0.902502 | + | 0.328484i | ||||
\(842\) | −16.5383 | − | 13.8773i | −0.569949 | − | 0.478244i | ||||
\(843\) | −42.4955 | + | 33.4699i | −1.46362 | + | 1.15276i | ||||
\(844\) | 0.186912 | − | 0.107914i | 0.00643377 | − | 0.00371454i | ||||
\(845\) | −4.35988 | − | 13.5964i | −0.149985 | − | 0.467730i | ||||
\(846\) | 10.4661 | + | 14.1706i | 0.359831 | + | 0.487197i | ||||
\(847\) | 20.5905 | − | 11.8879i | 0.707498 | − | 0.408474i | ||||
\(848\) | −8.31063 | − | 4.79814i | −0.285388 | − | 0.164769i | ||||
\(849\) | 18.4375 | − | 9.89619i | 0.632774 | − | 0.339636i | ||||
\(850\) | −13.0881 | − | 18.3093i | −0.448917 | − | 0.628003i | ||||
\(851\) | −2.65649 | + | 0.966883i | −0.0910633 | + | 0.0331443i | ||||
\(852\) | 17.1441 | − | 5.64474i | 0.587346 | − | 0.193386i | ||||
\(853\) | 2.31911 | − | 0.408921i | 0.0794047 | − | 0.0140012i | −0.133805 | − | 0.991008i | \(-0.542719\pi\) |
0.213209 | + | 0.977007i | \(0.431608\pi\) | |||||||
\(854\) | −38.2110 | −1.30755 | ||||||||
\(855\) | −9.85410 | + | 27.5299i | −0.337003 | + | 0.941503i | ||||
\(856\) | 3.77872 | 0.129154 | ||||||||
\(857\) | −12.6444 | + | 2.22955i | −0.431924 | + | 0.0761598i | −0.385383 | − | 0.922757i | \(-0.625931\pi\) |
−0.0465406 | + | 0.998916i | \(0.514820\pi\) | |||||||
\(858\) | 7.97632 | − | 2.62623i | 0.272307 | − | 0.0896580i | ||||
\(859\) | −19.1295 | + | 6.96258i | −0.652691 | + | 0.237560i | −0.647078 | − | 0.762424i | \(-0.724009\pi\) |
−0.00561340 | + | 0.999984i | \(0.501787\pi\) | |||||||
\(860\) | 0.845461 | + | 6.18871i | 0.0288300 | + | 0.211033i | ||||
\(861\) | −41.0509 | + | 22.0337i | −1.39901 | + | 0.750907i | ||||
\(862\) | −17.2232 | − | 9.94379i | −0.586623 | − | 0.338687i | ||||
\(863\) | 29.2730 | − | 16.9007i | 0.996463 | − | 0.575308i | 0.0892631 | − | 0.996008i | \(-0.471549\pi\) |
0.907200 | + | 0.420700i | \(0.138215\pi\) | |||||||
\(864\) | −1.31619 | − | 5.02669i | −0.0447777 | − | 0.171012i | ||||
\(865\) | −37.6033 | + | 12.0581i | −1.27855 | + | 0.409986i | ||||
\(866\) | −18.8782 | + | 10.8993i | −0.641507 | + | 0.370374i | ||||
\(867\) | 4.43730 | − | 3.49486i | 0.150698 | − | 0.118692i | ||||
\(868\) | 18.4571 | + | 15.4873i | 0.626474 | + | 0.525674i | ||||
\(869\) | 1.56790 | + | 0.570667i | 0.0531872 | + | 0.0193586i | ||||
\(870\) | −1.81914 | − | 3.72920i | −0.0616745 | − | 0.126432i | ||||
\(871\) | −7.08261 | + | 5.94302i | −0.239985 | + | 0.201371i | ||||
\(872\) | 2.66795 | + | 15.1307i | 0.0903481 | + | 0.512390i | ||||
\(873\) | −10.0546 | − | 9.55865i | −0.340298 | − | 0.323511i | ||||
\(874\) | 0.696453 | − | 1.03556i | 0.0235579 | − | 0.0350285i | ||||
\(875\) | −35.4576 | − | 4.14169i | −1.19869 | − | 0.140015i | ||||
\(876\) | 8.43567 | + | 1.75857i | 0.285015 | + | 0.0594165i | ||||
\(877\) | −18.4098 | + | 15.4476i | −0.621653 | + | 0.521629i | −0.898323 | − | 0.439336i | \(-0.855214\pi\) |
0.276669 | + | 0.960965i | \(0.410769\pi\) | |||||||
\(878\) | −2.05099 | + | 0.746499i | −0.0692176 | + | 0.0251931i | ||||
\(879\) | 24.6629 | − | 27.6075i | 0.831860 | − | 0.931179i | ||||
\(880\) | −0.892289 | + | 4.11976i | −0.0300790 | + | 0.138877i | ||||
\(881\) | −33.4120 | − | 19.2904i | −1.12568 | − | 0.649911i | −0.182835 | − | 0.983144i | \(-0.558527\pi\) |
−0.942845 | + | 0.333232i | \(0.891861\pi\) | |||||||
\(882\) | −9.31860 | − | 2.24604i | −0.313774 | − | 0.0756281i | ||||
\(883\) | −37.1732 | − | 6.55464i | −1.25098 | − | 0.220581i | −0.491363 | − | 0.870955i | \(-0.663501\pi\) |
−0.759614 | + | 0.650374i | \(0.774612\pi\) | |||||||
\(884\) | 2.01026 | − | 11.4007i | 0.0676122 | − | 0.383448i | ||||
\(885\) | −12.8527 | − | 17.6879i | −0.432038 | − | 0.594573i | ||||
\(886\) | 32.6877 | + | 18.8723i | 1.09817 | + | 0.634026i | ||||
\(887\) | −14.0814 | + | 16.7816i | −0.472808 | + | 0.563471i | −0.948759 | − | 0.316001i | \(-0.897660\pi\) |
0.475950 | + | 0.879472i | \(0.342104\pi\) | |||||||
\(888\) | −11.3938 | + | 12.7542i | −0.382351 | + | 0.428002i | ||||
\(889\) | −7.14823 | − | 19.6396i | −0.239744 | − | 0.658691i | ||||
\(890\) | −33.9810 | − | 13.8818i | −1.13905 | − | 0.465319i | ||||
\(891\) | 3.78690 | + | 16.5382i | 0.126866 | + | 0.554049i | ||||
\(892\) | −13.3466 | −0.446877 | ||||||||
\(893\) | 7.08871 | + | 24.5952i | 0.237215 | + | 0.823048i | ||||
\(894\) | −3.43492 | − | 1.37218i | −0.114881 | − | 0.0458925i | ||||
\(895\) | 18.2026 | + | 23.4842i | 0.608445 | + | 0.784990i | ||||
\(896\) | 2.44597 | − | 2.05241i | 0.0817141 | − | 0.0685662i | ||||
\(897\) | 1.27477 | + | 0.0395198i | 0.0425632 | + | 0.00131953i | ||||
\(898\) | −7.10967 | + | 19.5337i | −0.237253 | + | 0.651847i | ||||
\(899\) | −5.19640 | + | 6.19283i | −0.173310 | + | 0.206542i | ||||
\(900\) | 4.63350 | − | 14.2664i | 0.154450 | − | 0.475547i | ||||
\(901\) | 37.4080 | − | 21.5975i | 1.24624 | − | 0.719519i | ||||
\(902\) | −2.75772 | + | 15.6398i | −0.0918221 | + | 0.520749i | ||||
\(903\) | −8.13514 | + | 13.1331i | −0.270720 | + | 0.437041i | ||||
\(904\) | −9.01403 | − | 15.6128i | −0.299802 | − | 0.519272i | ||||
\(905\) | −48.6405 | − | 1.88625i | −1.61686 | − | 0.0627011i | ||||
\(906\) | −0.786824 | − | 1.46593i | −0.0261405 | − | 0.0487022i | ||||
\(907\) | −38.5798 | − | 14.0419i | −1.28102 | − | 0.466254i | −0.390252 | − | 0.920708i | \(-0.627612\pi\) |
−0.890770 | + | 0.454454i | \(0.849834\pi\) | |||||||
\(908\) | −3.02819 | − | 8.31989i | −0.100494 | − | 0.276105i | ||||
\(909\) | 0.964933 | − | 15.5477i | 0.0320048 | − | 0.515683i | ||||
\(910\) | −11.2492 | − | 14.5133i | −0.372909 | − | 0.481111i | ||||
\(911\) | 57.6117 | 1.90876 | 0.954380 | − | 0.298594i | \(-0.0965177\pi\) | ||||
0.954380 | + | 0.298594i | \(0.0965177\pi\) | |||||||
\(912\) | 0.749575 | − | 7.51253i | 0.0248209 | − | 0.248765i | ||||
\(913\) | 14.6896i | 0.486154i | ||||||||
\(914\) | −0.498603 | − | 2.82772i | −0.0164923 | − | 0.0935327i | ||||
\(915\) | 32.1944 | − | 33.3424i | 1.06432 | − | 1.10227i | ||||
\(916\) | 5.40098 | − | 1.96580i | 0.178453 | − | 0.0649517i | ||||
\(917\) | 27.6885 | + | 10.0778i | 0.914354 | + | 0.332798i | ||||
\(918\) | 22.5572 | + | 6.18241i | 0.744498 | + | 0.204050i | ||||
\(919\) | 1.63809 | − | 2.83725i | 0.0540355 | − | 0.0935923i | −0.837742 | − | 0.546066i | \(-0.816125\pi\) |
0.891778 | + | 0.452473i | \(0.149458\pi\) | |||||||
\(920\) | −0.341342 | + | 0.541607i | −0.0112537 | + | 0.0178562i | ||||
\(921\) | 2.65534 | − | 4.28668i | 0.0874964 | − | 0.141251i | ||||
\(922\) | 1.25812 | − | 7.13517i | 0.0414341 | − | 0.234984i | ||||
\(923\) | 13.4005 | + | 23.2104i | 0.441084 | + | 0.763981i | ||||
\(924\) | −8.19026 | + | 6.45073i | −0.269440 | + | 0.212213i | ||||
\(925\) | −47.5610 | + | 13.2421i | −1.56380 | + | 0.435397i | ||||
\(926\) | 32.9330 | + | 11.9866i | 1.08224 | + | 0.393905i | ||||
\(927\) | 48.4953 | + | 21.1381i | 1.59280 | + | 0.694266i | ||||
\(928\) | 0.688637 | + | 0.820686i | 0.0226056 | + | 0.0269403i | ||||
\(929\) | −27.1864 | + | 4.79369i | −0.891956 | + | 0.157276i | −0.600800 | − | 0.799400i | \(-0.705151\pi\) |
−0.291156 | + | 0.956676i | \(0.594040\pi\) | |||||||
\(930\) | −29.0649 | + | 3.05665i | −0.953077 | + | 0.100232i | ||||
\(931\) | −11.5569 | − | 7.77239i | −0.378761 | − | 0.254730i | ||||
\(932\) | 13.0384 | 0.427087 | ||||||||
\(933\) | 8.66693 | + | 1.80678i | 0.283743 | + | 0.0591513i | ||||
\(934\) | 3.84989 | + | 4.58812i | 0.125972 | + | 0.150128i | ||||
\(935\) | −14.0514 | − | 12.7503i | −0.459529 | − | 0.416979i | ||||
\(936\) | 6.90806 | − | 3.43650i | 0.225797 | − | 0.112326i | ||||
\(937\) | −21.9145 | + | 26.1167i | −0.715915 | + | 0.853195i | −0.994227 | − | 0.107296i | \(-0.965781\pi\) |
0.278312 | + | 0.960491i | \(0.410225\pi\) | |||||||
\(938\) | 5.73927 | − | 9.94071i | 0.187394 | − | 0.324576i | ||||
\(939\) | −30.4440 | + | 4.40023i | −0.993501 | + | 0.143596i | ||||
\(940\) | −4.00945 | − | 12.5035i | −0.130774 | − | 0.407821i | ||||
\(941\) | 2.58760 | − | 14.6750i | 0.0843532 | − | 0.478391i | −0.913141 | − | 0.407644i | \(-0.866351\pi\) |
0.997494 | − | 0.0707472i | \(-0.0225383\pi\) | |||||||
\(942\) | −0.378634 | − | 2.61967i | −0.0123366 | − | 0.0853533i | ||||
\(943\) | −1.20597 | + | 2.08880i | −0.0392718 | + | 0.0680208i | ||||
\(944\) | 4.32461 | + | 3.62878i | 0.140754 | + | 0.118107i | ||||
\(945\) | 31.3057 | − | 19.9072i | 1.01838 | − | 0.647581i | ||||
\(946\) | 1.80104 | + | 4.94832i | 0.0585570 | + | 0.160884i | ||||
\(947\) | −12.7072 | + | 10.6626i | −0.412928 | + | 0.346487i | −0.825465 | − | 0.564453i | \(-0.809087\pi\) |
0.412537 | + | 0.910941i | \(0.364643\pi\) | |||||||
\(948\) | 1.50076 | + | 0.312862i | 0.0487426 | + | 0.0101613i | ||||
\(949\) | 12.7952i | 0.415349i | ||||||||
\(950\) | 13.5268 | − | 17.0888i | 0.438868 | − | 0.554432i | ||||
\(951\) | −10.4361 | + | 26.1243i | −0.338414 | + | 0.847137i | ||||
\(952\) | 2.49573 | + | 14.1540i | 0.0808872 | + | 0.458734i | ||||
\(953\) | −6.89865 | − | 8.22150i | −0.223469 | − | 0.266320i | 0.642647 | − | 0.766162i | \(-0.277836\pi\) |
−0.866117 | + | 0.499842i | \(0.833392\pi\) | |||||||
\(954\) | 26.3908 | + | 11.5032i | 0.854434 | + | 0.372430i | ||||
\(955\) | −1.37604 | − | 10.0725i | −0.0445277 | − | 0.325940i | ||||
\(956\) | 7.90056 | − | 9.41552i | 0.255522 | − | 0.304520i | ||||
\(957\) | −2.16439 | − | 2.74804i | −0.0699647 | − | 0.0888317i | ||||
\(958\) | 13.5973 | + | 23.5512i | 0.439308 | + | 0.760904i | ||||
\(959\) | 18.5566 | + | 3.27203i | 0.599224 | + | 0.105659i | ||||
\(960\) | −0.269928 | + | 3.86357i | −0.00871190 | + | 0.124696i | ||||
\(961\) | 12.9705 | + | 22.4655i | 0.418402 | + | 0.724693i | ||||
\(962\) | −21.9925 | − | 12.6974i | −0.709066 | − | 0.409379i | ||||
\(963\) | −11.2644 | + | 1.27319i | −0.362991 | + | 0.0410278i | ||||
\(964\) | 4.90003 | − | 13.4627i | 0.157819 | − | 0.433605i | ||||
\(965\) | 22.8708 | − | 25.2045i | 0.736236 | − | 0.811363i | ||||
\(966\) | −1.50396 | + | 0.495184i | −0.0483891 | + | 0.0159323i | ||||
\(967\) | 23.4557 | − | 4.13587i | 0.754284 | − | 0.133001i | 0.216732 | − | 0.976231i | \(-0.430460\pi\) |
0.537552 | + | 0.843231i | \(0.319349\pi\) | |||||||
\(968\) | − | 7.44628i | − | 0.239332i | ||||||
\(969\) | 27.5982 | + | 19.8298i | 0.886582 | + | 0.637025i | ||||
\(970\) | 4.81931 | + | 9.14868i | 0.154739 | + | 0.293747i | ||||
\(971\) | 6.11615 | + | 34.6864i | 0.196276 | + | 1.11314i | 0.910589 | + | 0.413313i | \(0.135628\pi\) |
−0.714313 | + | 0.699827i | \(0.753261\pi\) | |||||||
\(972\) | 5.61726 | + | 14.5412i | 0.180174 | + | 0.466409i | ||||
\(973\) | −15.9246 | − | 43.7525i | −0.510520 | − | 1.40264i | ||||
\(974\) | −13.1920 | + | 36.2448i | −0.422700 | + | 1.16136i | ||||
\(975\) | 22.1421 | + | 2.41215i | 0.709114 | + | 0.0772507i | ||||
\(976\) | −5.98359 | + | 10.3639i | −0.191530 | + | 0.331740i | ||||
\(977\) | −1.85125 | + | 1.06882i | −0.0592267 | + | 0.0341945i | −0.529321 | − | 0.848422i | \(-0.677553\pi\) |
0.470094 | + | 0.882616i | \(0.344220\pi\) | |||||||
\(978\) | 16.9432 | − | 27.3526i | 0.541785 | − | 0.874638i | ||||
\(979\) | −30.4761 | − | 5.37375i | −0.974019 | − | 0.171746i | ||||
\(980\) | 6.04431 | + | 3.80937i | 0.193078 | + | 0.121686i | ||||
\(981\) | −13.0513 | − | 44.2059i | −0.416695 | − | 1.41139i | ||||
\(982\) | −18.8504 | − | 15.8174i | −0.601541 | − | 0.504753i | ||||
\(983\) | −16.6145 | + | 45.6480i | −0.529920 | + | 1.45594i | 0.329245 | + | 0.944245i | \(0.393206\pi\) |
−0.859165 | + | 0.511699i | \(0.829016\pi\) | |||||||
\(984\) | −0.452142 | + | 14.5845i | −0.0144138 | + | 0.464936i | ||||
\(985\) | −20.4796 | + | 50.1318i | −0.652535 | + | 1.59733i | ||||
\(986\) | −4.74904 | + | 0.837383i | −0.151240 | + | 0.0266677i | ||||
\(987\) | 12.0477 | − | 30.1584i | 0.383481 | − | 0.959952i | ||||
\(988\) | 11.1475 | − | 1.18695i | 0.354650 | − | 0.0377620i | ||||
\(989\) | 0.799759i | 0.0254309i | ||||||||
\(990\) | 1.27183 | − | 12.5817i | 0.0404215 | − | 0.399874i | ||||
\(991\) | 0.399241 | + | 0.475797i | 0.0126823 | + | 0.0151142i | 0.772348 | − | 0.635199i | \(-0.219082\pi\) |
−0.759666 | + | 0.650313i | \(0.774638\pi\) | |||||||
\(992\) | 7.09085 | − | 2.58086i | 0.225135 | − | 0.0819423i | ||||
\(993\) | 11.6482 | − | 13.0389i | 0.369643 | − | 0.413776i | ||||
\(994\) | −25.4890 | − | 21.3879i | −0.808464 | − | 0.678381i | ||||
\(995\) | 1.37409 | − | 35.4336i | 0.0435617 | − | 1.12332i | ||||
\(996\) | 1.93069 | + | 13.3579i | 0.0611762 | + | 0.423261i | ||||
\(997\) | 0.116226 | + | 0.0204939i | 0.00368093 | + | 0.000649047i | 0.175488 | − | 0.984482i | \(-0.443850\pi\) |
−0.171807 | + | 0.985131i | \(0.554961\pi\) | |||||||
\(998\) | −6.49674 | − | 1.14555i | −0.205651 | − | 0.0362618i | ||||
\(999\) | 29.6678 | − | 41.8594i | 0.938649 | − | 1.32437i |
(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 | 570.2.bf.a.29.2 | ✓ | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.28 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.39 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.13 | yes | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.13 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.39 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.28 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.2 | ✓ | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.29.13 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.29.28 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.29.39 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.59.2 | yes | 240 | 285.59 | even | 18 | inner | |
570.2.bf.a.59.13 | yes | 240 | 19.2 | odd | 18 | inner | |
570.2.bf.a.59.28 | yes | 240 | 95.59 | odd | 18 | inner | |
570.2.bf.a.59.39 | yes | 240 | 57.2 | even | 18 | inner |