Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(68,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.r (of order \(6\), degree \(2\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 68.7 | ||
Character | \(\chi\) | \(=\) | 273.68 |
Dual form | 273.2.r.b.269.26 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.85355i | − | 1.31066i | −0.755343 | − | 0.655330i | \(-0.772530\pi\) | ||
0.755343 | − | 0.655330i | \(-0.227470\pi\) | |||||||
\(3\) | −1.03215 | + | 1.39092i | −0.595912 | + | 0.803049i | ||||
\(4\) | −1.43566 | −0.717829 | ||||||||
\(5\) | −0.852778 | + | 1.47706i | −0.381374 | + | 0.660559i | −0.991259 | − | 0.131931i | \(-0.957882\pi\) |
0.609885 | + | 0.792490i | \(0.291216\pi\) | |||||||
\(6\) | 2.57815 | + | 1.91315i | 1.05252 | + | 0.781038i | ||||
\(7\) | −1.51863 | − | 2.16651i | −0.573989 | − | 0.818863i | ||||
\(8\) | − | 1.04604i | − | 0.369830i | ||||||
\(9\) | −0.869331 | − | 2.87128i | −0.289777 | − | 0.957094i | ||||
\(10\) | 2.73780 | + | 1.58067i | 0.865768 | + | 0.499852i | ||||
\(11\) | −5.10770 | − | 2.94893i | −1.54003 | − | 0.889137i | −0.998836 | − | 0.0482387i | \(-0.984639\pi\) |
−0.541194 | − | 0.840898i | \(-0.682027\pi\) | |||||||
\(12\) | 1.48182 | − | 1.99689i | 0.427763 | − | 0.576452i | ||||
\(13\) | 1.91308 | − | 3.05616i | 0.530593 | − | 0.847626i | ||||
\(14\) | −4.01574 | + | 2.81487i | −1.07325 | + | 0.752305i | ||||
\(15\) | −1.17427 | − | 2.71069i | −0.303196 | − | 0.699898i | ||||
\(16\) | −4.81020 | −1.20255 | ||||||||
\(17\) | −2.02792 | −0.491842 | −0.245921 | − | 0.969290i | \(-0.579090\pi\) | ||||
−0.245921 | + | 0.969290i | \(0.579090\pi\) | |||||||
\(18\) | −5.32207 | + | 1.61135i | −1.25442 | + | 0.379799i | ||||
\(19\) | 2.53036 | − | 1.46090i | 0.580504 | − | 0.335154i | −0.180830 | − | 0.983514i | \(-0.557878\pi\) |
0.761334 | + | 0.648360i | \(0.224545\pi\) | |||||||
\(20\) | 1.22430 | − | 2.12055i | 0.273761 | − | 0.474169i | ||||
\(21\) | 4.58090 | + | 0.123861i | 0.999635 | + | 0.0270287i | ||||
\(22\) | −5.46600 | + | 9.46739i | −1.16536 | + | 2.01845i | ||||
\(23\) | 1.17042i | 0.244050i | 0.992527 | + | 0.122025i | \(0.0389389\pi\) | ||||
−0.992527 | + | 0.122025i | \(0.961061\pi\) | |||||||
\(24\) | 1.45496 | + | 1.07967i | 0.296992 | + | 0.220386i | ||||
\(25\) | 1.04554 | + | 1.81092i | 0.209108 | + | 0.362185i | ||||
\(26\) | −5.66476 | − | 3.54600i | −1.11095 | − | 0.695427i | ||||
\(27\) | 4.89101 | + | 1.75442i | 0.941276 | + | 0.337639i | ||||
\(28\) | 2.18024 | + | 3.11036i | 0.412026 | + | 0.587803i | ||||
\(29\) | 5.45821 | − | 3.15130i | 1.01356 | − | 0.585182i | 0.101331 | − | 0.994853i | \(-0.467690\pi\) |
0.912233 | + | 0.409671i | \(0.134356\pi\) | |||||||
\(30\) | −5.02441 | + | 2.17658i | −0.917328 | + | 0.397387i | ||||
\(31\) | −5.85435 | + | 3.38001i | −1.05147 | + | 0.607068i | −0.923061 | − | 0.384653i | \(-0.874321\pi\) |
−0.128412 | + | 0.991721i | \(0.540988\pi\) | |||||||
\(32\) | 6.82389i | 1.20630i | ||||||||
\(33\) | 9.37365 | − | 4.06067i | 1.63174 | − | 0.706873i | ||||
\(34\) | 3.75885i | 0.644638i | ||||||||
\(35\) | 4.49511 | − | 0.395554i | 0.759812 | − | 0.0668609i | ||||
\(36\) | 1.24806 | + | 4.12218i | 0.208010 | + | 0.687030i | ||||
\(37\) | −4.49439 | −0.738873 | −0.369436 | − | 0.929256i | \(-0.620449\pi\) | ||||
−0.369436 | + | 0.929256i | \(0.620449\pi\) | |||||||
\(38\) | −2.70786 | − | 4.69015i | −0.439273 | − | 0.760843i | ||||
\(39\) | 2.27629 | + | 5.81537i | 0.364499 | + | 0.931204i | ||||
\(40\) | 1.54506 | + | 0.892039i | 0.244295 | + | 0.141044i | ||||
\(41\) | −0.511145 | − | 0.885329i | −0.0798274 | − | 0.138265i | 0.823348 | − | 0.567537i | \(-0.192104\pi\) |
−0.903175 | + | 0.429272i | \(0.858770\pi\) | |||||||
\(42\) | 0.229583 | − | 8.49094i | 0.0354254 | − | 1.31018i | ||||
\(43\) | −1.28948 | + | 2.23345i | −0.196644 | + | 0.340598i | −0.947438 | − | 0.319939i | \(-0.896338\pi\) |
0.750794 | + | 0.660536i | \(0.229671\pi\) | |||||||
\(44\) | 7.33291 | + | 4.23366i | 1.10548 | + | 0.638248i | ||||
\(45\) | 4.98239 | + | 1.16452i | 0.742731 | + | 0.173596i | ||||
\(46\) | 2.16944 | 0.319867 | ||||||||
\(47\) | 1.23835 | − | 2.14488i | 0.180631 | − | 0.312863i | −0.761464 | − | 0.648207i | \(-0.775519\pi\) |
0.942096 | + | 0.335344i | \(0.108853\pi\) | |||||||
\(48\) | 4.96485 | − | 6.69062i | 0.716615 | − | 0.965708i | ||||
\(49\) | −2.38751 | + | 6.58026i | −0.341073 | + | 0.940037i | ||||
\(50\) | 3.35665 | − | 1.93796i | 0.474701 | − | 0.274069i | ||||
\(51\) | 2.09312 | − | 2.82068i | 0.293095 | − | 0.394974i | ||||
\(52\) | −2.74653 | + | 4.38760i | −0.380875 | + | 0.608451i | ||||
\(53\) | 7.05517 | − | 4.07331i | 0.969103 | − | 0.559512i | 0.0701401 | − | 0.997537i | \(-0.477655\pi\) |
0.898963 | + | 0.438025i | \(0.144322\pi\) | |||||||
\(54\) | 3.25192 | − | 9.06575i | 0.442530 | − | 1.23369i | ||||
\(55\) | 8.71147 | − | 5.02957i | 1.17465 | − | 0.678187i | ||||
\(56\) | −2.26625 | + | 1.58855i | −0.302840 | + | 0.212279i | ||||
\(57\) | −0.579708 | + | 5.02740i | −0.0767842 | + | 0.665896i | ||||
\(58\) | −5.84110 | − | 10.1171i | −0.766974 | − | 1.32844i | ||||
\(59\) | −7.06857 | −0.920250 | −0.460125 | − | 0.887854i | \(-0.652195\pi\) | ||||
−0.460125 | + | 0.887854i | \(0.652195\pi\) | |||||||
\(60\) | 1.68586 | + | 3.89163i | 0.217643 | + | 0.502407i | ||||
\(61\) | −8.97486 | + | 5.18164i | −1.14911 | + | 0.663441i | −0.948671 | − | 0.316265i | \(-0.897571\pi\) |
−0.200442 | + | 0.979706i | \(0.564238\pi\) | |||||||
\(62\) | 6.26503 | + | 10.8514i | 0.795660 | + | 1.37812i | ||||
\(63\) | −4.90046 | + | 6.24384i | −0.617400 | + | 0.786649i | ||||
\(64\) | 3.02803 | 0.378504 | ||||||||
\(65\) | 2.88268 | + | 5.43196i | 0.357553 | + | 0.673751i | ||||
\(66\) | −7.52667 | − | 17.3746i | −0.926469 | − | 2.13866i | ||||
\(67\) | 6.48613 | − | 11.2343i | 0.792407 | − | 1.37249i | −0.132066 | − | 0.991241i | \(-0.542161\pi\) |
0.924473 | − | 0.381248i | \(-0.124506\pi\) | |||||||
\(68\) | 2.91140 | 0.353059 | ||||||||
\(69\) | −1.62797 | − | 1.20805i | −0.195985 | − | 0.145433i | ||||
\(70\) | −0.733181 | − | 8.33192i | −0.0876319 | − | 0.995855i | ||||
\(71\) | −12.2430 | − | 7.06851i | −1.45298 | − | 0.838877i | −0.454329 | − | 0.890834i | \(-0.650121\pi\) |
−0.998649 | + | 0.0519567i | \(0.983454\pi\) | |||||||
\(72\) | −3.00347 | + | 0.909353i | −0.353962 | + | 0.107168i | ||||
\(73\) | 9.15932 | − | 5.28814i | 1.07202 | − | 0.618930i | 0.143286 | − | 0.989681i | \(-0.454233\pi\) |
0.928732 | + | 0.370752i | \(0.120900\pi\) | |||||||
\(74\) | 8.33058i | 0.968411i | ||||||||
\(75\) | −3.59801 | − | 0.414885i | −0.415462 | − | 0.0479068i | ||||
\(76\) | −3.63273 | + | 2.09736i | −0.416703 | + | 0.240583i | ||||
\(77\) | 1.36784 | + | 15.5442i | 0.155880 | + | 1.77143i | ||||
\(78\) | 10.7791 | − | 4.21923i | 1.22049 | − | 0.477734i | ||||
\(79\) | 4.67411 | − | 8.09579i | 0.525878 | − | 0.910848i | −0.473667 | − | 0.880704i | \(-0.657070\pi\) |
0.999546 | − | 0.0301441i | \(-0.00959663\pi\) | |||||||
\(80\) | 4.10204 | − | 7.10494i | 0.458622 | − | 0.794356i | ||||
\(81\) | −7.48853 | + | 4.99219i | −0.832059 | + | 0.554688i | ||||
\(82\) | −1.64100 | + | 0.947434i | −0.181219 | + | 0.104627i | ||||
\(83\) | 5.87137 | 0.644467 | 0.322233 | − | 0.946660i | \(-0.395566\pi\) | ||||
0.322233 | + | 0.946660i | \(0.395566\pi\) | |||||||
\(84\) | −6.57661 | − | 0.177822i | −0.717567 | − | 0.0194020i | ||||
\(85\) | 1.72936 | − | 2.99535i | 0.187576 | − | 0.324891i | ||||
\(86\) | 4.13982 | + | 2.39012i | 0.446408 | + | 0.257734i | ||||
\(87\) | −1.25048 | + | 10.8446i | −0.134066 | + | 1.16266i | ||||
\(88\) | −3.08469 | + | 5.34285i | −0.328830 | + | 0.569550i | ||||
\(89\) | 15.7262 | 1.66698 | 0.833489 | − | 0.552536i | \(-0.186340\pi\) | ||||
0.833489 | + | 0.552536i | \(0.186340\pi\) | |||||||
\(90\) | 2.15850 | − | 9.23512i | 0.227525 | − | 0.973467i | ||||
\(91\) | −9.52646 | + | 0.496481i | −0.998645 | + | 0.0520453i | ||||
\(92\) | − | 1.68033i | − | 0.175186i | ||||||
\(93\) | 1.34124 | − | 11.6316i | 0.139080 | − | 1.20614i | ||||
\(94\) | −3.97565 | − | 2.29534i | −0.410057 | − | 0.236746i | ||||
\(95\) | 4.98331i | 0.511276i | ||||||||
\(96\) | −9.49150 | − | 7.04328i | −0.968722 | − | 0.718852i | ||||
\(97\) | 2.68318 | + | 1.54914i | 0.272436 | + | 0.157291i | 0.629994 | − | 0.776600i | \(-0.283057\pi\) |
−0.357558 | + | 0.933891i | \(0.616391\pi\) | |||||||
\(98\) | 12.1969 | + | 4.42537i | 1.23207 | + | 0.447030i | ||||
\(99\) | −4.02694 | + | 17.2292i | −0.404722 | + | 1.73160i | ||||
\(100\) | −1.50103 | − | 2.59987i | −0.150103 | − | 0.259987i | ||||
\(101\) | 3.92553 | − | 6.79921i | 0.390604 | − | 0.676547i | −0.601925 | − | 0.798553i | \(-0.705599\pi\) |
0.992529 | + | 0.122006i | \(0.0389327\pi\) | |||||||
\(102\) | −5.22827 | − | 3.87970i | −0.517676 | − | 0.384148i | ||||
\(103\) | 10.6387 | + | 6.14225i | 1.04826 | + | 0.605214i | 0.922162 | − | 0.386804i | \(-0.126421\pi\) |
0.126099 | + | 0.992018i | \(0.459754\pi\) | |||||||
\(104\) | −3.19686 | − | 2.00116i | −0.313478 | − | 0.196229i | ||||
\(105\) | −4.08944 | + | 6.66062i | −0.399089 | + | 0.650010i | ||||
\(106\) | −7.55009 | − | 13.0771i | −0.733329 | − | 1.27016i | ||||
\(107\) | − | 10.9669i | − | 1.06021i | −0.847932 | − | 0.530105i | \(-0.822152\pi\) | ||
0.847932 | − | 0.530105i | \(-0.177848\pi\) | |||||||
\(108\) | −7.02182 | − | 2.51875i | −0.675675 | − | 0.242367i | ||||
\(109\) | −0.818867 | − | 1.41832i | −0.0784332 | − | 0.135850i | 0.824141 | − | 0.566385i | \(-0.191658\pi\) |
−0.902574 | + | 0.430535i | \(0.858325\pi\) | |||||||
\(110\) | −9.32258 | − | 16.1472i | −0.888873 | − | 1.53957i | ||||
\(111\) | 4.63888 | − | 6.25134i | 0.440303 | − | 0.593351i | ||||
\(112\) | 7.30493 | + | 10.4213i | 0.690251 | + | 0.984724i | ||||
\(113\) | −2.12969 | − | 1.22958i | −0.200345 | − | 0.115669i | 0.396472 | − | 0.918047i | \(-0.370235\pi\) |
−0.596816 | + | 0.802378i | \(0.703568\pi\) | |||||||
\(114\) | 9.31856 | + | 1.07452i | 0.872763 | + | 0.100638i | ||||
\(115\) | −1.72878 | − | 0.998113i | −0.161210 | − | 0.0930745i | ||||
\(116\) | −7.83613 | + | 4.52419i | −0.727566 | + | 0.420060i | ||||
\(117\) | −10.4382 | − | 2.83618i | −0.965012 | − | 0.262205i | ||||
\(118\) | 13.1020i | 1.20613i | ||||||||
\(119\) | 3.07966 | + | 4.39350i | 0.282312 | + | 0.402751i | ||||
\(120\) | −2.83549 | + | 1.22834i | −0.258843 | + | 0.112131i | ||||
\(121\) | 11.8924 | + | 20.5982i | 1.08113 | + | 1.87257i | ||||
\(122\) | 9.60444 | + | 16.6354i | 0.869545 | + | 1.50610i | ||||
\(123\) | 1.75900 | + | 0.202830i | 0.158604 | + | 0.0182885i | ||||
\(124\) | 8.40485 | − | 4.85254i | 0.754778 | − | 0.435771i | ||||
\(125\) | −12.0942 | −1.08174 | ||||||||
\(126\) | 11.5733 | + | 9.08326i | 1.03103 | + | 0.809201i | ||||
\(127\) | 0.804031 | + | 1.39262i | 0.0713462 | + | 0.123575i | 0.899492 | − | 0.436938i | \(-0.143937\pi\) |
−0.828145 | + | 0.560513i | \(0.810604\pi\) | |||||||
\(128\) | 8.03516i | 0.710214i | ||||||||
\(129\) | −1.77561 | − | 4.09883i | −0.156334 | − | 0.360881i | ||||
\(130\) | 10.0684 | − | 5.34321i | 0.883059 | − | 0.468630i | ||||
\(131\) | −3.13878 | + | 5.43653i | −0.274236 | + | 0.474991i | −0.969942 | − | 0.243335i | \(-0.921758\pi\) |
0.695706 | + | 0.718327i | \(0.255092\pi\) | |||||||
\(132\) | −13.4574 | + | 5.82974i | −1.17131 | + | 0.507414i | ||||
\(133\) | −7.00774 | − | 3.26346i | −0.607648 | − | 0.282978i | ||||
\(134\) | −20.8234 | − | 12.0224i | −1.79887 | − | 1.03858i | ||||
\(135\) | −6.76233 | + | 5.72816i | −0.582009 | + | 0.493002i | ||||
\(136\) | 2.12128i | 0.181898i | ||||||||
\(137\) | 3.43613i | 0.293569i | 0.989169 | + | 0.146784i | \(0.0468923\pi\) | ||||
−0.989169 | + | 0.146784i | \(0.953108\pi\) | |||||||
\(138\) | −2.23919 | + | 3.01753i | −0.190613 | + | 0.256869i | ||||
\(139\) | −11.3521 | − | 6.55412i | −0.962870 | − | 0.555913i | −0.0658145 | − | 0.997832i | \(-0.520965\pi\) |
−0.897055 | + | 0.441919i | \(0.854298\pi\) | |||||||
\(140\) | −6.45344 | + | 0.567881i | −0.545415 | + | 0.0479947i | ||||
\(141\) | 1.70520 | + | 3.93628i | 0.143604 | + | 0.331495i | ||||
\(142\) | −13.1018 | + | 22.6931i | −1.09948 | + | 1.90436i | ||||
\(143\) | −18.7839 | + | 9.96841i | −1.57079 | + | 0.833600i | ||||
\(144\) | 4.18166 | + | 13.8115i | 0.348471 | + | 1.15095i | ||||
\(145\) | 10.7494i | 0.892693i | ||||||||
\(146\) | −9.80184 | − | 16.9773i | −0.811206 | − | 1.40505i | ||||
\(147\) | −6.68836 | − | 10.1127i | −0.551647 | − | 0.834078i | ||||
\(148\) | 6.45240 | 0.530384 | ||||||||
\(149\) | 9.39815 | − | 5.42603i | 0.769927 | − | 0.444517i | −0.0629217 | − | 0.998018i | \(-0.520042\pi\) |
0.832848 | + | 0.553501i | \(0.186709\pi\) | |||||||
\(150\) | −0.769011 | + | 6.66910i | −0.0627895 | + | 0.544530i | ||||
\(151\) | −3.04686 | − | 5.27731i | −0.247950 | − | 0.429462i | 0.715007 | − | 0.699117i | \(-0.246423\pi\) |
−0.962957 | + | 0.269656i | \(0.913090\pi\) | |||||||
\(152\) | −1.52816 | − | 2.64685i | −0.123950 | − | 0.214688i | ||||
\(153\) | 1.76293 | + | 5.82273i | 0.142525 | + | 0.470740i | ||||
\(154\) | 28.8120 | − | 2.53536i | 2.32174 | − | 0.204305i | ||||
\(155\) | − | 11.5296i | − | 0.926080i | ||||||
\(156\) | −3.26798 | − | 8.34888i | −0.261648 | − | 0.668445i | ||||
\(157\) | −3.07686 | + | 1.77643i | −0.245561 | + | 0.141774i | −0.617730 | − | 0.786390i | \(-0.711947\pi\) |
0.372169 | + | 0.928165i | \(0.378614\pi\) | |||||||
\(158\) | −15.0060 | − | 8.66371i | −1.19381 | − | 0.689248i | ||||
\(159\) | −1.61635 | + | 14.0175i | −0.128185 | + | 1.11166i | ||||
\(160\) | −10.0793 | − | 5.81926i | −0.796836 | − | 0.460053i | ||||
\(161\) | 2.53573 | − | 1.77745i | 0.199844 | − | 0.140082i | ||||
\(162\) | 9.25328 | + | 13.8804i | 0.727007 | + | 1.09055i | ||||
\(163\) | 2.37118 | + | 4.10700i | 0.185725 | + | 0.321685i | 0.943821 | − | 0.330458i | \(-0.107203\pi\) |
−0.758096 | + | 0.652144i | \(0.773870\pi\) | |||||||
\(164\) | 0.733829 | + | 1.27103i | 0.0573024 | + | 0.0992507i | ||||
\(165\) | −1.99581 | + | 17.3083i | −0.155373 | + | 1.34745i | ||||
\(166\) | − | 10.8829i | − | 0.844677i | ||||||
\(167\) | 4.09604 | + | 7.09455i | 0.316961 | + | 0.548992i | 0.979852 | − | 0.199723i | \(-0.0640043\pi\) |
−0.662891 | + | 0.748716i | \(0.730671\pi\) | |||||||
\(168\) | 0.129563 | − | 4.79180i | 0.00999603 | − | 0.369695i | ||||
\(169\) | −5.68024 | − | 11.6934i | −0.436941 | − | 0.899490i | ||||
\(170\) | −5.55204 | − | 3.20547i | −0.425822 | − | 0.245848i | ||||
\(171\) | −6.39438 | − | 5.99537i | −0.488991 | − | 0.458477i | ||||
\(172\) | 1.85126 | − | 3.20647i | 0.141157 | − | 0.244491i | ||||
\(173\) | 4.35358 | + | 7.54063i | 0.330997 | + | 0.573303i | 0.982708 | − | 0.185164i | \(-0.0592817\pi\) |
−0.651711 | + | 0.758468i | \(0.725948\pi\) | |||||||
\(174\) | 20.1010 | + | 2.31783i | 1.52385 | + | 0.175715i | ||||
\(175\) | 2.33559 | − | 5.01530i | 0.176554 | − | 0.379121i | ||||
\(176\) | 24.5691 | + | 14.1850i | 1.85196 | + | 1.06923i | ||||
\(177\) | 7.29583 | − | 9.83184i | 0.548388 | − | 0.739006i | ||||
\(178\) | − | 29.1494i | − | 2.18484i | ||||||
\(179\) | −18.9246 | − | 10.9261i | −1.41449 | − | 0.816655i | −0.418681 | − | 0.908133i | \(-0.637508\pi\) |
−0.995807 | + | 0.0914779i | \(0.970841\pi\) | |||||||
\(180\) | −7.15301 | − | 1.67185i | −0.533154 | − | 0.124612i | ||||
\(181\) | − | 13.4731i | − | 1.00145i | −0.865606 | − | 0.500725i | \(-0.833067\pi\) | ||
0.865606 | − | 0.500725i | \(-0.166933\pi\) | |||||||
\(182\) | 0.920253 | + | 17.6578i | 0.0682137 | + | 1.30888i | ||||
\(183\) | 2.05615 | − | 17.8316i | 0.151995 | − | 1.31815i | ||||
\(184\) | 1.22431 | 0.0902572 | ||||||||
\(185\) | 3.83272 | − | 6.63846i | 0.281787 | − | 0.488069i | ||||
\(186\) | −21.5598 | − | 2.48606i | −1.58084 | − | 0.182287i | ||||
\(187\) | 10.3580 | + | 5.98019i | 0.757452 | + | 0.437315i | ||||
\(188\) | −1.77784 | + | 3.07931i | −0.129662 | + | 0.224582i | ||||
\(189\) | −3.62668 | − | 13.2607i | −0.263802 | − | 0.964577i | ||||
\(190\) | 9.23682 | 0.670110 | ||||||||
\(191\) | 8.31273 | − | 4.79936i | 0.601488 | − | 0.347269i | −0.168138 | − | 0.985763i | \(-0.553776\pi\) |
0.769627 | + | 0.638494i | \(0.220442\pi\) | |||||||
\(192\) | −3.12538 | + | 4.21176i | −0.225555 | + | 0.303957i | ||||
\(193\) | 4.53181 | − | 7.84933i | 0.326207 | − | 0.565007i | −0.655549 | − | 0.755153i | \(-0.727563\pi\) |
0.981756 | + | 0.190146i | \(0.0608960\pi\) | |||||||
\(194\) | 2.87140 | − | 4.97342i | 0.206155 | − | 0.357071i | ||||
\(195\) | −10.5308 | − | 1.59701i | −0.754126 | − | 0.114364i | ||||
\(196\) | 3.42764 | − | 9.44700i | 0.244832 | − | 0.674786i | ||||
\(197\) | 3.54377 | − | 2.04600i | 0.252483 | − | 0.145771i | −0.368418 | − | 0.929660i | \(-0.620100\pi\) |
0.620901 | + | 0.783889i | \(0.286767\pi\) | |||||||
\(198\) | 31.9353 | + | 7.46414i | 2.26954 | + | 0.530453i | ||||
\(199\) | − | 3.99290i | − | 0.283049i | −0.989935 | − | 0.141525i | \(-0.954800\pi\) | ||
0.989935 | − | 0.141525i | \(-0.0452004\pi\) | |||||||
\(200\) | 1.89430 | − | 1.09367i | 0.133947 | − | 0.0773343i | ||||
\(201\) | 8.93138 | + | 20.6172i | 0.629971 | + | 1.45422i | ||||
\(202\) | −12.6027 | − | 7.27617i | −0.886722 | − | 0.511949i | ||||
\(203\) | −15.1163 | − | 7.03959i | −1.06096 | − | 0.494082i | ||||
\(204\) | −3.00500 | + | 4.04953i | −0.210392 | + | 0.283524i | ||||
\(205\) | 1.74357 | 0.121776 | ||||||||
\(206\) | 11.3850 | − | 19.7194i | 0.793230 | − | 1.37391i | ||||
\(207\) | 3.36062 | − | 1.01749i | 0.233579 | − | 0.0707202i | ||||
\(208\) | −9.20231 | + | 14.7008i | −0.638065 | + | 1.01931i | ||||
\(209\) | −17.2324 | −1.19199 | ||||||||
\(210\) | 12.3458 | + | 7.58000i | 0.851942 | + | 0.523070i | ||||
\(211\) | −8.68607 | − | 15.0447i | −0.597974 | − | 1.03572i | −0.993120 | − | 0.117103i | \(-0.962639\pi\) |
0.395146 | − | 0.918618i | \(-0.370694\pi\) | |||||||
\(212\) | −10.1288 | + | 5.84787i | −0.695650 | + | 0.401634i | ||||
\(213\) | 22.4684 | − | 9.73332i | 1.53951 | − | 0.666916i | ||||
\(214\) | −20.3277 | −1.38958 | ||||||||
\(215\) | −2.19929 | − | 3.80927i | −0.149990 | − | 0.259790i | ||||
\(216\) | 1.83519 | − | 5.11618i | 0.124869 | − | 0.348112i | ||||
\(217\) | 16.2134 | + | 7.55050i | 1.10064 | + | 0.512561i | ||||
\(218\) | −2.62893 | + | 1.51781i | −0.178054 | + | 0.102799i | ||||
\(219\) | −2.09841 | + | 18.1981i | −0.141797 | + | 1.22971i | ||||
\(220\) | −12.5067 | + | 7.22074i | −0.843201 | + | 0.486822i | ||||
\(221\) | −3.87957 | + | 6.19764i | −0.260968 | + | 0.416899i | ||||
\(222\) | −11.5872 | − | 8.59842i | −0.777682 | − | 0.577088i | ||||
\(223\) | 14.1553 | − | 8.17254i | 0.947906 | − | 0.547274i | 0.0554762 | − | 0.998460i | \(-0.482332\pi\) |
0.892430 | + | 0.451186i | \(0.148999\pi\) | |||||||
\(224\) | 14.7840 | − | 10.3630i | 0.987798 | − | 0.692406i | ||||
\(225\) | 4.29076 | − | 4.57633i | 0.286051 | − | 0.305089i | ||||
\(226\) | −2.27909 | + | 3.94750i | −0.151603 | + | 0.262584i | ||||
\(227\) | −22.0511 | −1.46359 | −0.731793 | − | 0.681527i | \(-0.761316\pi\) | ||||
−0.731793 | + | 0.681527i | \(0.761316\pi\) | |||||||
\(228\) | 0.832262 | − | 7.21763i | 0.0551179 | − | 0.477999i | ||||
\(229\) | −11.4900 | − | 6.63377i | −0.759282 | − | 0.438372i | 0.0697557 | − | 0.997564i | \(-0.477778\pi\) |
−0.829038 | + | 0.559192i | \(0.811111\pi\) | |||||||
\(230\) | −1.85006 | + | 3.20439i | −0.121989 | + | 0.211291i | ||||
\(231\) | −23.0326 | − | 14.1414i | −1.51543 | − | 0.930437i | ||||
\(232\) | −3.29638 | − | 5.70950i | −0.216418 | − | 0.374847i | ||||
\(233\) | 17.7667 | + | 10.2576i | 1.16393 | + | 0.671997i | 0.952243 | − | 0.305340i | \(-0.0987702\pi\) |
0.211689 | + | 0.977337i | \(0.432104\pi\) | |||||||
\(234\) | −5.25702 | + | 19.3478i | −0.343662 | + | 1.26480i | ||||
\(235\) | 2.11207 | + | 3.65821i | 0.137776 | + | 0.238636i | ||||
\(236\) | 10.1481 | 0.660582 | ||||||||
\(237\) | 6.43624 | + | 14.8574i | 0.418079 | + | 0.965092i | ||||
\(238\) | 8.14358 | − | 5.70832i | 0.527870 | − | 0.370015i | ||||
\(239\) | 5.80711i | 0.375631i | 0.982204 | + | 0.187815i | \(0.0601407\pi\) | ||||
−0.982204 | + | 0.187815i | \(0.939859\pi\) | |||||||
\(240\) | 5.64850 | + | 13.0390i | 0.364609 | + | 0.841662i | ||||
\(241\) | 3.95794i | 0.254953i | 0.991842 | + | 0.127477i | \(0.0406878\pi\) | ||||
−0.991842 | + | 0.127477i | \(0.959312\pi\) | |||||||
\(242\) | 38.1799 | − | 22.0432i | 2.45430 | − | 1.41699i | ||||
\(243\) | 0.785542 | − | 15.5687i | 0.0503926 | − | 0.998729i | ||||
\(244\) | 12.8848 | − | 7.43906i | 0.824867 | − | 0.476237i | ||||
\(245\) | −7.68339 | − | 9.13798i | −0.490874 | − | 0.583804i | ||||
\(246\) | 0.375956 | − | 3.26040i | 0.0239701 | − | 0.207876i | ||||
\(247\) | 0.376028 | − | 10.5280i | 0.0239261 | − | 0.669881i | ||||
\(248\) | 3.53562 | + | 6.12388i | 0.224512 | + | 0.388866i | ||||
\(249\) | −6.06014 | + | 8.16663i | −0.384046 | + | 0.517539i | ||||
\(250\) | 22.4173i | 1.41779i | ||||||||
\(251\) | −3.79735 | + | 6.57721i | −0.239687 | + | 0.415150i | −0.960624 | − | 0.277850i | \(-0.910378\pi\) |
0.720938 | + | 0.693000i | \(0.243711\pi\) | |||||||
\(252\) | 7.03539 | − | 8.96401i | 0.443188 | − | 0.564680i | ||||
\(253\) | 3.45150 | − | 5.97818i | 0.216994 | − | 0.375845i | ||||
\(254\) | 2.58130 | − | 1.49031i | 0.161965 | − | 0.0935106i | ||||
\(255\) | 2.38133 | + | 5.49706i | 0.149125 | + | 0.344239i | ||||
\(256\) | 20.9497 | 1.30935 | ||||||||
\(257\) | −7.56207 | −0.471709 | −0.235855 | − | 0.971788i | \(-0.575789\pi\) | ||||
−0.235855 | + | 0.971788i | \(0.575789\pi\) | |||||||
\(258\) | −7.59739 | + | 3.29119i | −0.472993 | + | 0.204901i | ||||
\(259\) | 6.82532 | + | 9.73712i | 0.424105 | + | 0.605035i | ||||
\(260\) | −4.13855 | − | 7.79843i | −0.256662 | − | 0.483638i | ||||
\(261\) | −13.7933 | − | 12.9325i | −0.853782 | − | 0.800505i | ||||
\(262\) | 10.0769 | + | 5.81789i | 0.622552 | + | 0.359431i | ||||
\(263\) | 19.3605 | + | 11.1778i | 1.19382 | + | 0.689253i | 0.959171 | − | 0.282827i | \(-0.0912724\pi\) |
0.234650 | + | 0.972080i | \(0.424606\pi\) | |||||||
\(264\) | −4.24762 | − | 9.80520i | −0.261423 | − | 0.603468i | ||||
\(265\) | 13.8945i | 0.853533i | ||||||||
\(266\) | −6.04900 | + | 12.9892i | −0.370888 | + | 0.796420i | ||||
\(267\) | −16.2318 | + | 21.8740i | −0.993372 | + | 1.33867i | ||||
\(268\) | −9.31186 | + | 16.1286i | −0.568812 | + | 0.985212i | ||||
\(269\) | 5.85375 | 0.356910 | 0.178455 | − | 0.983948i | \(-0.442890\pi\) | ||||
0.178455 | + | 0.983948i | \(0.442890\pi\) | |||||||
\(270\) | 10.6174 | + | 12.5343i | 0.646157 | + | 0.762816i | ||||
\(271\) | 29.5545i | 1.79531i | 0.440698 | + | 0.897655i | \(0.354731\pi\) | ||||
−0.440698 | + | 0.897655i | \(0.645269\pi\) | |||||||
\(272\) | 9.75470 | 0.591465 | ||||||||
\(273\) | 9.14218 | − | 13.7630i | 0.553310 | − | 0.832976i | ||||
\(274\) | 6.36905 | 0.384769 | ||||||||
\(275\) | − | 12.3329i | − | 0.743701i | ||||||
\(276\) | 2.33721 | + | 1.73435i | 0.140683 | + | 0.104396i | ||||
\(277\) | 20.4403 | 1.22814 | 0.614069 | − | 0.789252i | \(-0.289532\pi\) | ||||
0.614069 | + | 0.789252i | \(0.289532\pi\) | |||||||
\(278\) | −12.1484 | + | 21.0417i | −0.728613 | + | 1.26199i | ||||
\(279\) | 14.7943 | + | 13.8712i | 0.885714 | + | 0.830444i | ||||
\(280\) | −0.413765 | − | 4.70205i | −0.0247272 | − | 0.281001i | ||||
\(281\) | 2.67114i | 0.159347i | 0.996821 | + | 0.0796735i | \(0.0253878\pi\) | ||||
−0.996821 | + | 0.0796735i | \(0.974612\pi\) | |||||||
\(282\) | 7.29611 | − | 3.16068i | 0.434477 | − | 0.188216i | ||||
\(283\) | −7.24808 | − | 4.18468i | −0.430853 | − | 0.248753i | 0.268857 | − | 0.963180i | \(-0.413354\pi\) |
−0.699710 | + | 0.714427i | \(0.746688\pi\) | |||||||
\(284\) | 17.5768 | + | 10.1480i | 1.04299 | + | 0.602170i | ||||
\(285\) | −6.93139 | − | 5.14352i | −0.410580 | − | 0.304676i | ||||
\(286\) | 18.4770 | + | 34.8169i | 1.09257 | + | 2.05877i | ||||
\(287\) | −1.14183 | + | 2.45189i | −0.0674001 | + | 0.144730i | ||||
\(288\) | 19.5933 | − | 5.93221i | 1.15455 | − | 0.349559i | ||||
\(289\) | −12.8875 | −0.758091 | ||||||||
\(290\) | 19.9247 | 1.17002 | ||||||||
\(291\) | −4.92417 | + | 2.13316i | −0.288660 | + | 0.125048i | ||||
\(292\) | −13.1497 | + | 7.59196i | −0.769525 | + | 0.444286i | ||||
\(293\) | 5.49797 | − | 9.52277i | 0.321195 | − | 0.556326i | −0.659540 | − | 0.751669i | \(-0.729249\pi\) |
0.980735 | + | 0.195344i | \(0.0625822\pi\) | |||||||
\(294\) | −18.7443 | + | 12.3972i | −1.09319 | + | 0.723021i | ||||
\(295\) | 6.02793 | − | 10.4407i | 0.350959 | − | 0.607879i | ||||
\(296\) | 4.70130i | 0.273257i | ||||||||
\(297\) | −19.8081 | − | 23.3843i | −1.14939 | − | 1.35690i | ||||
\(298\) | −10.0574 | − | 17.4200i | −0.582611 | − | 1.00911i | ||||
\(299\) | 3.57701 | + | 2.23912i | 0.206864 | + | 0.129492i | ||||
\(300\) | 5.16551 | + | 0.595633i | 0.298231 | + | 0.0343889i | ||||
\(301\) | 6.79703 | − | 0.598116i | 0.391774 | − | 0.0344748i | ||||
\(302\) | −9.78178 | + | 5.64751i | −0.562878 | + | 0.324978i | ||||
\(303\) | 5.40544 | + | 12.4779i | 0.310534 | + | 0.716837i | ||||
\(304\) | −12.1715 | + | 7.02724i | −0.698085 | + | 0.403040i | ||||
\(305\) | − | 17.6752i | − | 1.01208i | ||||||
\(306\) | 10.7927 | − | 3.26769i | 0.616979 | − | 0.186801i | ||||
\(307\) | − | 16.2231i | − | 0.925902i | −0.886384 | − | 0.462951i | \(-0.846791\pi\) | ||
0.886384 | − | 0.462951i | \(-0.153209\pi\) | |||||||
\(308\) | −1.96375 | − | 22.3162i | −0.111895 | − | 1.27158i | ||||
\(309\) | −19.5241 | + | 8.45787i | −1.11069 | + | 0.481151i | ||||
\(310\) | −21.3707 | −1.21378 | ||||||||
\(311\) | 0.984021 | + | 1.70438i | 0.0557987 | + | 0.0966462i | 0.892576 | − | 0.450898i | \(-0.148896\pi\) |
−0.836777 | + | 0.547544i | \(0.815563\pi\) | |||||||
\(312\) | 6.08309 | − | 2.38109i | 0.344387 | − | 0.134803i | ||||
\(313\) | −23.2505 | − | 13.4237i | −1.31420 | − | 0.758751i | −0.331407 | − | 0.943488i | \(-0.607523\pi\) |
−0.982788 | + | 0.184737i | \(0.940857\pi\) | |||||||
\(314\) | 3.29270 | + | 5.70313i | 0.185818 | + | 0.321846i | ||||
\(315\) | −5.04348 | − | 12.5629i | −0.284168 | − | 0.707837i | ||||
\(316\) | −6.71042 | + | 11.6228i | −0.377491 | + | 0.653833i | ||||
\(317\) | −10.3181 | − | 5.95718i | −0.579524 | − | 0.334589i | 0.181420 | − | 0.983406i | \(-0.441931\pi\) |
−0.760944 | + | 0.648817i | \(0.775264\pi\) | |||||||
\(318\) | 25.9821 | + | 2.99599i | 1.45700 | + | 0.168007i | ||||
\(319\) | −37.1719 | −2.08123 | ||||||||
\(320\) | −2.58224 | + | 4.47257i | −0.144352 | + | 0.250024i | ||||
\(321\) | 15.2541 | + | 11.3195i | 0.851401 | + | 0.631793i | ||||
\(322\) | −3.29459 | − | 4.70012i | −0.183600 | − | 0.261927i | ||||
\(323\) | −5.13136 | + | 2.96259i | −0.285517 | + | 0.164843i | ||||
\(324\) | 10.7510 | − | 7.16707i | 0.597276 | − | 0.398171i | ||||
\(325\) | 7.53468 | + | 0.269115i | 0.417949 | + | 0.0149278i | ||||
\(326\) | 7.61255 | − | 4.39511i | 0.421620 | − | 0.243422i | ||||
\(327\) | 2.81797 | + | 0.324938i | 0.155834 | + | 0.0179691i | ||||
\(328\) | −0.926087 | + | 0.534677i | −0.0511346 | + | 0.0295226i | ||||
\(329\) | −6.52749 | + | 0.574397i | −0.359872 | + | 0.0316675i | ||||
\(330\) | 32.0818 | + | 3.69934i | 1.76604 | + | 0.203642i | ||||
\(331\) | 3.54660 | + | 6.14289i | 0.194939 | + | 0.337644i | 0.946880 | − | 0.321586i | \(-0.104216\pi\) |
−0.751942 | + | 0.659229i | \(0.770883\pi\) | |||||||
\(332\) | −8.42928 | −0.462617 | ||||||||
\(333\) | 3.90711 | + | 12.9047i | 0.214108 | + | 0.707171i | ||||
\(334\) | 13.1501 | − | 7.59222i | 0.719542 | − | 0.415428i | ||||
\(335\) | 11.0625 | + | 19.1607i | 0.604407 | + | 1.04686i | ||||
\(336\) | −22.0351 | − | 0.595796i | −1.20211 | − | 0.0325034i | ||||
\(337\) | −19.1195 | −1.04151 | −0.520753 | − | 0.853707i | \(-0.674349\pi\) | ||||
−0.520753 | + | 0.853707i | \(0.674349\pi\) | |||||||
\(338\) | −21.6743 | + | 10.5286i | −1.17893 | + | 0.572681i | ||||
\(339\) | 3.90841 | − | 1.69313i | 0.212276 | − | 0.0919580i | ||||
\(340\) | −2.48278 | + | 4.30029i | −0.134647 | + | 0.233216i | ||||
\(341\) | 39.8697 | 2.15907 | ||||||||
\(342\) | −11.1127 | + | 11.8523i | −0.600908 | + | 0.640901i | ||||
\(343\) | 17.8819 | − | 4.82044i | 0.965533 | − | 0.260280i | ||||
\(344\) | 2.33627 | + | 1.34885i | 0.125963 | + | 0.0727250i | ||||
\(345\) | 3.17266 | − | 1.37440i | 0.170810 | − | 0.0739952i | ||||
\(346\) | 13.9770 | − | 8.06960i | 0.751406 | − | 0.433824i | ||||
\(347\) | 4.51502i | 0.242379i | 0.992629 | + | 0.121189i | \(0.0386708\pi\) | ||||
−0.992629 | + | 0.121189i | \(0.961329\pi\) | |||||||
\(348\) | 1.79526 | − | 15.5691i | 0.0962363 | − | 0.834591i | ||||
\(349\) | 8.50567 | − | 4.91075i | 0.455298 | − | 0.262866i | −0.254767 | − | 0.967002i | \(-0.581999\pi\) |
0.710065 | + | 0.704136i | \(0.248665\pi\) | |||||||
\(350\) | −9.29612 | − | 4.32915i | −0.496898 | − | 0.231403i | ||||
\(351\) | 14.7187 | − | 11.5914i | 0.785627 | − | 0.618701i | ||||
\(352\) | 20.1232 | − | 34.8544i | 1.07257 | − | 1.85774i | ||||
\(353\) | −12.9850 | + | 22.4907i | −0.691121 | + | 1.19706i | 0.280350 | + | 0.959898i | \(0.409549\pi\) |
−0.971471 | + | 0.237159i | \(0.923784\pi\) | |||||||
\(354\) | −18.2238 | − | 13.5232i | −0.968585 | − | 0.718750i | ||||
\(355\) | 20.8812 | − | 12.0557i | 1.10826 | − | 0.639852i | ||||
\(356\) | −22.5775 | −1.19660 | ||||||||
\(357\) | −9.28969 | − | 0.251180i | −0.491663 | − | 0.0132939i | ||||
\(358\) | −20.2521 | + | 35.0777i | −1.07036 | + | 1.85391i | ||||
\(359\) | 9.31277 | + | 5.37673i | 0.491509 | + | 0.283773i | 0.725200 | − | 0.688538i | \(-0.241747\pi\) |
−0.233691 | + | 0.972311i | \(0.575080\pi\) | |||||||
\(360\) | 1.21813 | − | 5.21177i | 0.0642011 | − | 0.274684i | ||||
\(361\) | −5.23152 | + | 9.06126i | −0.275343 | + | 0.476909i | ||||
\(362\) | −24.9732 | −1.31256 | ||||||||
\(363\) | −40.9253 | − | 4.71908i | −2.14802 | − | 0.247687i | ||||
\(364\) | 13.6767 | − | 0.712777i | 0.716856 | − | 0.0373596i | ||||
\(365\) | 18.0384i | 0.944175i | ||||||||
\(366\) | −33.0517 | − | 3.81118i | −1.72764 | − | 0.199214i | ||||
\(367\) | 7.61336 | + | 4.39557i | 0.397414 | + | 0.229447i | 0.685368 | − | 0.728197i | \(-0.259642\pi\) |
−0.287954 | + | 0.957644i | \(0.592975\pi\) | |||||||
\(368\) | − | 5.62998i | − | 0.293483i | ||||||
\(369\) | −2.09768 | + | 2.23728i | −0.109201 | + | 0.116468i | ||||
\(370\) | −12.3047 | − | 7.10414i | −0.639693 | − | 0.369327i | ||||
\(371\) | −19.5391 | − | 9.09923i | −1.01442 | − | 0.472408i | ||||
\(372\) | −1.92556 | + | 16.6990i | −0.0998356 | + | 0.865805i | ||||
\(373\) | −16.6378 | − | 28.8175i | −0.861473 | − | 1.49212i | −0.870507 | − | 0.492156i | \(-0.836209\pi\) |
0.00903360 | − | 0.999959i | \(-0.497124\pi\) | |||||||
\(374\) | 11.0846 | − | 19.1991i | 0.573171 | − | 0.992762i | ||||
\(375\) | 12.4831 | − | 16.8221i | 0.644623 | − | 0.868692i | ||||
\(376\) | −2.24363 | − | 1.29536i | −0.115706 | − | 0.0668030i | ||||
\(377\) | 0.811126 | − | 22.7099i | 0.0417751 | − | 1.16962i | ||||
\(378\) | −24.5795 | + | 6.72224i | −1.26423 | + | 0.345755i | ||||
\(379\) | 17.9896 | + | 31.1589i | 0.924063 | + | 1.60052i | 0.793062 | + | 0.609141i | \(0.208486\pi\) |
0.131001 | + | 0.991382i | \(0.458181\pi\) | |||||||
\(380\) | − | 7.15432i | − | 0.367009i | ||||||
\(381\) | −2.76691 | − | 0.319051i | −0.141753 | − | 0.0163455i | ||||
\(382\) | −8.89587 | − | 15.4081i | −0.455152 | − | 0.788347i | ||||
\(383\) | 0.0629654 | + | 0.109059i | 0.00321738 | + | 0.00557267i | 0.867630 | − | 0.497211i | \(-0.165643\pi\) |
−0.864412 | + | 0.502784i | \(0.832309\pi\) | |||||||
\(384\) | −11.1763 | − | 8.29349i | −0.570337 | − | 0.423226i | ||||
\(385\) | −24.1261 | − | 11.2354i | −1.22958 | − | 0.572609i | ||||
\(386\) | −14.5492 | − | 8.39996i | −0.740532 | − | 0.427546i | ||||
\(387\) | 7.53385 | + | 1.76086i | 0.382967 | + | 0.0895097i | ||||
\(388\) | −3.85213 | − | 2.22403i | −0.195562 | − | 0.112908i | ||||
\(389\) | 1.78389 | − | 1.02993i | 0.0904470 | − | 0.0522196i | −0.454094 | − | 0.890954i | \(-0.650037\pi\) |
0.544541 | + | 0.838734i | \(0.316704\pi\) | |||||||
\(390\) | −2.96013 | + | 19.5194i | −0.149892 | + | 0.988402i | ||||
\(391\) | − | 2.37353i | − | 0.120034i | ||||||
\(392\) | 6.88320 | + | 2.49742i | 0.347654 | + | 0.126139i | ||||
\(393\) | −4.32209 | − | 9.97711i | −0.218021 | − | 0.503279i | ||||
\(394\) | −3.79236 | − | 6.56857i | −0.191057 | − | 0.330920i | ||||
\(395\) | 7.97196 | + | 13.8078i | 0.401113 | + | 0.694748i | ||||
\(396\) | 5.78131 | − | 24.7353i | 0.290522 | − | 1.24300i | ||||
\(397\) | 28.1705 | − | 16.2643i | 1.41384 | − | 0.816279i | 0.418090 | − | 0.908406i | \(-0.362700\pi\) |
0.995747 | + | 0.0921260i | \(0.0293663\pi\) | |||||||
\(398\) | −7.40105 | −0.370981 | ||||||||
\(399\) | 11.7723 | − | 6.37884i | 0.589351 | − | 0.319341i | ||||
\(400\) | −5.02925 | − | 8.71092i | −0.251462 | − | 0.435546i | ||||
\(401\) | − | 25.6374i | − | 1.28027i | −0.768262 | − | 0.640136i | \(-0.778878\pi\) | ||
0.768262 | − | 0.640136i | \(-0.221122\pi\) | |||||||
\(402\) | 38.2151 | − | 16.5548i | 1.90599 | − | 0.825678i | ||||
\(403\) | −0.869995 | + | 24.3581i | −0.0433375 | + | 1.21336i | ||||
\(404\) | −5.63571 | + | 9.76134i | −0.280387 | + | 0.485645i | ||||
\(405\) | −0.987683 | − | 15.3182i | −0.0490784 | − | 0.761168i | ||||
\(406\) | −13.0482 | + | 28.0189i | −0.647574 | + | 1.39056i | ||||
\(407\) | 22.9560 | + | 13.2536i | 1.13789 | + | 0.656959i | ||||
\(408\) | −2.95054 | − | 2.18948i | −0.146073 | − | 0.108395i | ||||
\(409\) | 20.1886i | 0.998263i | 0.866526 | + | 0.499131i | \(0.166348\pi\) | ||||
−0.866526 | + | 0.499131i | \(0.833652\pi\) | |||||||
\(410\) | − | 3.23180i | − | 0.159607i | ||||||
\(411\) | −4.77940 | − | 3.54661i | −0.235750 | − | 0.174941i | ||||
\(412\) | −15.2735 | − | 8.81817i | −0.752472 | − | 0.434440i | ||||
\(413\) | 10.7346 | + | 15.3141i | 0.528213 | + | 0.753558i | ||||
\(414\) | −1.88596 | − | 6.22909i | −0.0926901 | − | 0.306143i | ||||
\(415\) | −5.00698 | + | 8.67234i | −0.245783 | + | 0.425709i | ||||
\(416\) | 20.8549 | + | 13.0547i | 1.02250 | + | 0.640057i | ||||
\(417\) | 20.8333 | − | 9.02501i | 1.02021 | − | 0.441956i | ||||
\(418\) | 31.9412i | 1.56230i | ||||||||
\(419\) | −5.00334 | − | 8.66603i | −0.244429 | − | 0.423363i | 0.717542 | − | 0.696515i | \(-0.245267\pi\) |
−0.961971 | + | 0.273152i | \(0.911934\pi\) | |||||||
\(420\) | 5.87104 | − | 9.56237i | 0.286478 | − | 0.466596i | ||||
\(421\) | 2.13468 | 0.104038 | 0.0520190 | − | 0.998646i | \(-0.483434\pi\) | ||||
0.0520190 | + | 0.998646i | \(0.483434\pi\) | |||||||
\(422\) | −27.8862 | + | 16.1001i | −1.35748 | + | 0.783740i | ||||
\(423\) | −7.23509 | − | 1.69103i | −0.351782 | − | 0.0822209i | ||||
\(424\) | −4.26083 | − | 7.37998i | −0.206924 | − | 0.358403i | ||||
\(425\) | −2.12027 | − | 3.67241i | −0.102848 | − | 0.178138i | ||||
\(426\) | −18.0412 | − | 41.6463i | −0.874100 | − | 2.01777i | ||||
\(427\) | 24.8556 | + | 11.5751i | 1.20285 | + | 0.560158i | ||||
\(428\) | 15.7447i | 0.761050i | ||||||||
\(429\) | 5.52249 | − | 36.4158i | 0.266628 | − | 1.75817i | ||||
\(430\) | −7.06069 | + | 4.07649i | −0.340497 | + | 0.196586i | ||||
\(431\) | −17.6263 | − | 10.1765i | −0.849027 | − | 0.490186i | 0.0112952 | − | 0.999936i | \(-0.496405\pi\) |
−0.860323 | + | 0.509750i | \(0.829738\pi\) | |||||||
\(432\) | −23.5268 | − | 8.43914i | −1.13193 | − | 0.406028i | ||||
\(433\) | 1.68539 | + | 0.973059i | 0.0809945 | + | 0.0467622i | 0.539950 | − | 0.841697i | \(-0.318443\pi\) |
−0.458956 | + | 0.888459i | \(0.651776\pi\) | |||||||
\(434\) | 13.9953 | − | 30.0525i | 0.671794 | − | 1.44256i | ||||
\(435\) | −14.9516 | − | 11.0950i | −0.716876 | − | 0.531967i | ||||
\(436\) | 1.17561 | + | 2.03622i | 0.0563016 | + | 0.0975173i | ||||
\(437\) | 1.70988 | + | 2.96159i | 0.0817945 | + | 0.141672i | ||||
\(438\) | 33.7311 | + | 3.88951i | 1.61173 | + | 0.185848i | ||||
\(439\) | − | 15.1416i | − | 0.722669i | −0.932436 | − | 0.361334i | \(-0.882321\pi\) | ||
0.932436 | − | 0.361334i | \(-0.117679\pi\) | |||||||
\(440\) | −5.26112 | − | 9.11253i | −0.250814 | − | 0.434423i | ||||
\(441\) | 20.9693 | + | 1.13479i | 0.998539 | + | 0.0540376i | ||||
\(442\) | 11.4877 | + | 7.19099i | 0.546412 | + | 0.342041i | ||||
\(443\) | 10.4456 | + | 6.03079i | 0.496287 | + | 0.286532i | 0.727179 | − | 0.686448i | \(-0.240831\pi\) |
−0.230892 | + | 0.972979i | \(0.574164\pi\) | |||||||
\(444\) | −6.65985 | + | 8.97479i | −0.316063 | + | 0.425925i | ||||
\(445\) | −13.4110 | + | 23.2285i | −0.635742 | + | 1.10114i | ||||
\(446\) | −15.1482 | − | 26.2375i | −0.717290 | − | 1.24238i | ||||
\(447\) | −2.15313 | + | 18.6726i | −0.101839 | + | 0.883183i | ||||
\(448\) | −4.59847 | − | 6.56025i | −0.217257 | − | 0.309943i | ||||
\(449\) | 27.8555 | + | 16.0824i | 1.31458 | + | 0.758973i | 0.982851 | − | 0.184401i | \(-0.0590346\pi\) |
0.331729 | + | 0.943375i | \(0.392368\pi\) | |||||||
\(450\) | −8.48247 | − | 7.95315i | −0.399867 | − | 0.374915i | ||||
\(451\) | 6.02933i | 0.283910i | ||||||||
\(452\) | 3.05751 | + | 1.76525i | 0.143813 | + | 0.0830305i | ||||
\(453\) | 10.4851 | + | 1.20904i | 0.492635 | + | 0.0568056i | ||||
\(454\) | 40.8729i | 1.91826i | ||||||||
\(455\) | 7.39063 | − | 14.4945i | 0.346478 | − | 0.679513i | ||||
\(456\) | 5.25886 | + | 0.606396i | 0.246268 | + | 0.0283971i | ||||
\(457\) | −21.3434 | −0.998402 | −0.499201 | − | 0.866486i | \(-0.666373\pi\) | ||||
−0.499201 | + | 0.866486i | \(0.666373\pi\) | |||||||
\(458\) | −12.2960 | + | 21.2974i | −0.574556 | + | 0.995161i | ||||
\(459\) | −9.91857 | − | 3.55783i | −0.462959 | − | 0.166065i | ||||
\(460\) | 2.48194 | + | 1.43295i | 0.115721 | + | 0.0668116i | ||||
\(461\) | −6.30166 | + | 10.9148i | −0.293497 | + | 0.508352i | −0.974634 | − | 0.223804i | \(-0.928153\pi\) |
0.681137 | + | 0.732156i | \(0.261486\pi\) | |||||||
\(462\) | −26.2119 | + | 42.6922i | −1.21949 | + | 1.98622i | ||||
\(463\) | −16.8509 | −0.783126 | −0.391563 | − | 0.920151i | \(-0.628066\pi\) | ||||
−0.391563 | + | 0.920151i | \(0.628066\pi\) | |||||||
\(464\) | −26.2551 | + | 15.1584i | −1.21886 | + | 0.703711i | ||||
\(465\) | 16.0368 | + | 11.9003i | 0.743688 | + | 0.551863i | ||||
\(466\) | 19.0130 | − | 32.9314i | 0.880759 | − | 1.52552i | ||||
\(467\) | −13.7962 | + | 23.8957i | −0.638411 | + | 1.10576i | 0.347370 | + | 0.937728i | \(0.387075\pi\) |
−0.985781 | + | 0.168033i | \(0.946259\pi\) | |||||||
\(468\) | 14.9857 | + | 4.07179i | 0.692714 | + | 0.188219i | ||||
\(469\) | −34.1892 | + | 3.00854i | −1.57871 | + | 0.138921i | ||||
\(470\) | 6.78069 | − | 3.91483i | 0.312770 | − | 0.180578i | ||||
\(471\) | 0.704913 | − | 6.11322i | 0.0324807 | − | 0.281682i | ||||
\(472\) | 7.39399i | 0.340336i | ||||||||
\(473\) | 13.1726 | − | 7.60519i | 0.605676 | − | 0.349687i | ||||
\(474\) | 27.5390 | − | 11.9299i | 1.26491 | − | 0.547959i | ||||
\(475\) | 5.29117 | + | 3.05486i | 0.242776 | + | 0.140167i | ||||
\(476\) | −4.42134 | − | 6.30756i | −0.202652 | − | 0.289107i | ||||
\(477\) | −17.8289 | − | 16.7163i | −0.816329 | − | 0.765389i | ||||
\(478\) | 10.7638 | 0.492324 | ||||||||
\(479\) | −2.62206 | + | 4.54155i | −0.119805 | + | 0.207509i | −0.919690 | − | 0.392644i | \(-0.871560\pi\) |
0.799885 | + | 0.600153i | \(0.204894\pi\) | |||||||
\(480\) | 18.4975 | − | 8.01311i | 0.844290 | − | 0.365747i | ||||
\(481\) | −8.59813 | + | 13.7356i | −0.392041 | + | 0.626288i | ||||
\(482\) | 7.33625 | 0.334157 | ||||||||
\(483\) | −0.144970 | + | 5.36160i | −0.00659636 | + | 0.243961i | ||||
\(484\) | −17.0734 | − | 29.5720i | −0.776065 | − | 1.34418i | ||||
\(485\) | −4.57632 | + | 2.64214i | −0.207800 | + | 0.119973i | ||||
\(486\) | −28.8573 | − | 1.45604i | −1.30899 | − | 0.0660475i | ||||
\(487\) | 13.7690 | 0.623934 | 0.311967 | − | 0.950093i | \(-0.399012\pi\) | ||||
0.311967 | + | 0.950093i | \(0.399012\pi\) | |||||||
\(488\) | 5.42019 | + | 9.38804i | 0.245360 | + | 0.424977i | ||||
\(489\) | −8.15994 | − | 0.940919i | −0.369005 | − | 0.0425498i | ||||
\(490\) | −16.9377 | + | 14.2416i | −0.765169 | + | 0.643369i | ||||
\(491\) | −4.37984 | + | 2.52870i | −0.197659 | + | 0.114119i | −0.595563 | − | 0.803308i | \(-0.703071\pi\) |
0.397904 | + | 0.917427i | \(0.369738\pi\) | |||||||
\(492\) | −2.52532 | − | 0.291194i | −0.113850 | − | 0.0131280i | ||||
\(493\) | −11.0688 | + | 6.39058i | −0.498514 | + | 0.287817i | ||||
\(494\) | −19.5142 | − | 0.696987i | −0.877986 | − | 0.0313589i | ||||
\(495\) | −22.0145 | − | 20.6407i | −0.989477 | − | 0.927732i | ||||
\(496\) | 28.1606 | − | 16.2585i | 1.26445 | − | 0.730030i | ||||
\(497\) | 3.27867 | + | 37.2590i | 0.147068 | + | 1.67130i | ||||
\(498\) | 15.1373 | + | 11.2328i | 0.678317 | + | 0.503353i | ||||
\(499\) | −17.5185 | + | 30.3429i | −0.784235 | + | 1.35833i | 0.145221 | + | 0.989399i | \(0.453611\pi\) |
−0.929455 | + | 0.368935i | \(0.879722\pi\) | |||||||
\(500\) | 17.3632 | 0.776505 | ||||||||
\(501\) | −14.0957 | − | 1.62537i | −0.629749 | − | 0.0726161i | ||||
\(502\) | 12.1912 | + | 7.03860i | 0.544120 | + | 0.314148i | ||||
\(503\) | −1.02137 | + | 1.76907i | −0.0455407 | + | 0.0788788i | −0.887897 | − | 0.460042i | \(-0.847834\pi\) |
0.842357 | + | 0.538921i | \(0.181168\pi\) | |||||||
\(504\) | 6.53129 | + | 5.12607i | 0.290927 | + | 0.228333i | ||||
\(505\) | 6.69521 | + | 11.5964i | 0.297933 | + | 0.516035i | ||||
\(506\) | −11.0809 | − | 6.39754i | −0.492605 | − | 0.284406i | ||||
\(507\) | 22.1274 | + | 4.16855i | 0.982714 | + | 0.185132i | ||||
\(508\) | −1.15431 | − | 1.99933i | −0.0512144 | − | 0.0887059i | ||||
\(509\) | −7.01737 | −0.311039 | −0.155520 | − | 0.987833i | \(-0.549705\pi\) | ||||
−0.155520 | + | 0.987833i | \(0.549705\pi\) | |||||||
\(510\) | 10.1891 | − | 4.41392i | 0.451181 | − | 0.195452i | ||||
\(511\) | −25.3664 | − | 11.8130i | −1.12215 | − | 0.522576i | ||||
\(512\) | − | 22.7610i | − | 1.00590i | ||||||
\(513\) | 14.9391 | − | 2.70597i | 0.659576 | − | 0.119472i | ||||
\(514\) | 14.0167i | 0.618250i | ||||||||
\(515\) | −18.1449 | + | 10.4760i | −0.799559 | + | 0.461626i | ||||
\(516\) | 2.54917 | + | 5.88451i | 0.112221 | + | 0.259051i | ||||
\(517\) | −12.6502 | + | 7.30360i | −0.556356 | + | 0.321212i | ||||
\(518\) | 18.0483 | − | 12.6511i | 0.792996 | − | 0.555857i | ||||
\(519\) | −14.9820 | − | 1.72757i | −0.657636 | − | 0.0758317i | ||||
\(520\) | 5.68203 | − | 3.01540i | 0.249174 | − | 0.132234i | ||||
\(521\) | −3.23991 | − | 5.61169i | −0.141943 | − | 0.245853i | 0.786285 | − | 0.617864i | \(-0.212002\pi\) |
−0.928228 | + | 0.372011i | \(0.878668\pi\) | |||||||
\(522\) | −23.9712 | + | 25.5665i | −1.04919 | + | 1.11902i | ||||
\(523\) | 2.33000i | 0.101884i | 0.998702 | + | 0.0509418i | \(0.0162223\pi\) | ||||
−0.998702 | + | 0.0509418i | \(0.983778\pi\) | |||||||
\(524\) | 4.50621 | − | 7.80499i | 0.196855 | − | 0.340963i | ||||
\(525\) | 4.56520 | + | 8.42517i | 0.199242 | + | 0.367705i | ||||
\(526\) | 20.7186 | − | 35.8857i | 0.903376 | − | 1.56469i | ||||
\(527\) | 11.8722 | − | 6.85439i | 0.517159 | − | 0.298582i | ||||
\(528\) | −45.0892 | + | 19.5327i | −1.96225 | + | 0.850050i | ||||
\(529\) | 21.6301 | 0.940439 | ||||||||
\(530\) | 25.7542 | 1.11869 | ||||||||
\(531\) | 6.14493 | + | 20.2959i | 0.266667 | + | 0.880766i | ||||
\(532\) | 10.0607 | + | 4.68522i | 0.436188 | + | 0.203130i | ||||
\(533\) | −3.68357 | − | 0.131566i | −0.159553 | − | 0.00569874i | ||||
\(534\) | 40.5446 | + | 30.0866i | 1.75453 | + | 1.30197i | ||||
\(535\) | 16.1987 | + | 9.35234i | 0.700332 | + | 0.404337i | ||||
\(536\) | −11.7515 | − | 6.78474i | −0.507588 | − | 0.293056i | ||||
\(537\) | 34.7304 | − | 15.0452i | 1.49873 | − | 0.649249i | ||||
\(538\) | − | 10.8502i | − | 0.467787i | ||||||
\(539\) | 31.5994 | − | 26.5694i | 1.36108 | − | 1.14442i | ||||
\(540\) | 9.70839 | − | 8.22368i | 0.417783 | − | 0.353891i | ||||
\(541\) | 4.75567 | − | 8.23706i | 0.204462 | − | 0.354139i | −0.745499 | − | 0.666507i | \(-0.767789\pi\) |
0.949961 | + | 0.312368i | \(0.101122\pi\) | |||||||
\(542\) | 54.7809 | 2.35304 | ||||||||
\(543\) | 18.7401 | + | 13.9063i | 0.804214 | + | 0.596777i | ||||
\(544\) | − | 13.8383i | − | 0.593312i | ||||||
\(545\) | 2.79325 | 0.119650 | ||||||||
\(546\) | −25.5105 | − | 16.9455i | −1.09175 | − | 0.725201i | ||||
\(547\) | 33.0415 | 1.41275 | 0.706376 | − | 0.707837i | \(-0.250329\pi\) | ||||
0.706376 | + | 0.707837i | \(0.250329\pi\) | |||||||
\(548\) | − | 4.93311i | − | 0.210732i | ||||||
\(549\) | 22.6801 | + | 21.2648i | 0.967962 | + | 0.907560i | ||||
\(550\) | −22.8597 | −0.974739 | ||||||||
\(551\) | 9.20749 | − | 15.9478i | 0.392252 | − | 0.679401i | ||||
\(552\) | −1.26367 | + | 1.70292i | −0.0537854 | + | 0.0724810i | ||||
\(553\) | −24.6379 | + | 2.16805i | −1.04771 | + | 0.0921948i | ||||
\(554\) | − | 37.8872i | − | 1.60967i | ||||||
\(555\) | 5.27764 | + | 12.1829i | 0.224023 | + | 0.517135i | ||||
\(556\) | 16.2977 | + | 9.40947i | 0.691176 | + | 0.399050i | ||||
\(557\) | 2.17776 | + | 1.25733i | 0.0922747 | + | 0.0532748i | 0.545427 | − | 0.838158i | \(-0.316367\pi\) |
−0.453153 | + | 0.891433i | \(0.649701\pi\) | |||||||
\(558\) | 25.7109 | − | 27.4221i | 1.08843 | − | 1.16087i | ||||
\(559\) | 4.35889 | + | 8.21364i | 0.184362 | + | 0.347400i | ||||
\(560\) | −21.6224 | + | 1.90270i | −0.913712 | + | 0.0804036i | ||||
\(561\) | −19.0090 | + | 8.23471i | −0.802561 | + | 0.347670i | ||||
\(562\) | 4.95110 | 0.208850 | ||||||||
\(563\) | 15.0815 | 0.635611 | 0.317806 | − | 0.948156i | \(-0.397054\pi\) | ||||
0.317806 | + | 0.948156i | \(0.397054\pi\) | |||||||
\(564\) | −2.44809 | − | 5.65116i | −0.103083 | − | 0.237957i | ||||
\(565\) | 3.63231 | − | 2.09712i | 0.152812 | − | 0.0882263i | ||||
\(566\) | −7.75652 | + | 13.4347i | −0.326031 | + | 0.564702i | ||||
\(567\) | 22.1879 | + | 8.64265i | 0.931806 | + | 0.362957i | ||||
\(568\) | −7.39393 | + | 12.8067i | −0.310242 | + | 0.537355i | ||||
\(569\) | − | 19.3853i | − | 0.812672i | −0.913724 | − | 0.406336i | \(-0.866806\pi\) | ||
0.913724 | − | 0.406336i | \(-0.133194\pi\) | |||||||
\(570\) | −9.53379 | + | 12.8477i | −0.399327 | + | 0.538131i | ||||
\(571\) | −10.8085 | − | 18.7209i | −0.452322 | − | 0.783445i | 0.546207 | − | 0.837650i | \(-0.316071\pi\) |
−0.998530 | + | 0.0542046i | \(0.982738\pi\) | |||||||
\(572\) | 26.9672 | − | 14.3112i | 1.12756 | − | 0.598382i | ||||
\(573\) | −1.90446 | + | 16.5160i | −0.0795598 | + | 0.689967i | ||||
\(574\) | 4.54470 | + | 2.11644i | 0.189692 | + | 0.0883386i | ||||
\(575\) | −2.11955 | + | 1.22372i | −0.0883914 | + | 0.0510328i | ||||
\(576\) | −2.63236 | − | 8.69434i | −0.109682 | − | 0.362264i | ||||
\(577\) | −1.59120 | + | 0.918678i | −0.0662424 | + | 0.0382450i | −0.532755 | − | 0.846269i | \(-0.678843\pi\) |
0.466513 | + | 0.884514i | \(0.345510\pi\) | |||||||
\(578\) | 23.8877i | 0.993599i | ||||||||
\(579\) | 6.24030 | + | 14.4051i | 0.259338 | + | 0.598655i | ||||
\(580\) | − | 15.4325i | − | 0.640801i | ||||||
\(581\) | −8.91646 | − | 12.7204i | −0.369917 | − | 0.527730i | ||||
\(582\) | 3.95392 | + | 9.12722i | 0.163895 | + | 0.378335i | ||||
\(583\) | −48.0476 | −1.98993 | ||||||||
\(584\) | −5.53159 | − | 9.58100i | −0.228899 | − | 0.396465i | ||||
\(585\) | 13.0907 | − | 12.9992i | 0.541233 | − | 0.537449i | ||||
\(586\) | −17.6509 | − | 10.1908i | −0.729154 | − | 0.420977i | ||||
\(587\) | 12.9166 | + | 22.3722i | 0.533125 | + | 0.923400i | 0.999252 | + | 0.0386818i | \(0.0123159\pi\) |
−0.466126 | + | 0.884718i | \(0.654351\pi\) | |||||||
\(588\) | 9.60220 | + | 14.5183i | 0.395988 | + | 0.598725i | ||||
\(589\) | −9.87574 | + | 17.1053i | −0.406923 | + | 0.704811i | ||||
\(590\) | −19.3523 | − | 11.1731i | −0.796723 | − | 0.459988i | ||||
\(591\) | −0.811882 | + | 7.04089i | −0.0333964 | + | 0.289623i | ||||
\(592\) | 21.6189 | 0.888532 | ||||||||
\(593\) | −20.0780 | + | 34.7761i | −0.824504 | + | 1.42808i | 0.0777945 | + | 0.996969i | \(0.475212\pi\) |
−0.902298 | + | 0.431113i | \(0.858121\pi\) | |||||||
\(594\) | −43.3441 | + | 36.7154i | −1.77843 | + | 1.50645i | ||||
\(595\) | −9.11571 | + | 0.802152i | −0.373708 | + | 0.0328850i | ||||
\(596\) | −13.4925 | + | 7.78992i | −0.552676 | + | 0.319087i | ||||
\(597\) | 5.55381 | + | 4.12127i | 0.227302 | + | 0.168672i | ||||
\(598\) | 4.15032 | − | 6.63017i | 0.169719 | − | 0.271128i | ||||
\(599\) | 32.4255 | − | 18.7209i | 1.32487 | − | 0.764915i | 0.340370 | − | 0.940292i | \(-0.389448\pi\) |
0.984501 | + | 0.175377i | \(0.0561144\pi\) | |||||||
\(600\) | −0.433985 | + | 3.76365i | −0.0177174 | + | 0.153651i | ||||
\(601\) | −5.80392 | + | 3.35089i | −0.236747 | + | 0.136686i | −0.613681 | − | 0.789554i | \(-0.710312\pi\) |
0.376934 | + | 0.926240i | \(0.376978\pi\) | |||||||
\(602\) | −1.10864 | − | 12.5987i | −0.0451848 | − | 0.513483i | ||||
\(603\) | −37.8955 | − | 8.85718i | −1.54322 | − | 0.360692i | ||||
\(604\) | 4.37425 | + | 7.57642i | 0.177986 | + | 0.308280i | ||||
\(605\) | −40.5663 | −1.64926 | ||||||||
\(606\) | 23.1285 | − | 10.0193i | 0.939529 | − | 0.407005i | ||||
\(607\) | 8.28076 | − | 4.78090i | 0.336106 | − | 0.194051i | −0.322443 | − | 0.946589i | \(-0.604504\pi\) |
0.658549 | + | 0.752538i | \(0.271171\pi\) | |||||||
\(608\) | 9.96904 | + | 17.2669i | 0.404298 | + | 0.700265i | ||||
\(609\) | 25.3939 | − | 13.7597i | 1.02901 | − | 0.557573i | ||||
\(610\) | −32.7618 | −1.32649 | ||||||||
\(611\) | −4.18604 | − | 7.88792i | −0.169349 | − | 0.319111i | ||||
\(612\) | −2.53097 | − | 8.35944i | −0.102308 | − | 0.337910i | ||||
\(613\) | 19.0723 | − | 33.0341i | 0.770322 | − | 1.33424i | −0.167065 | − | 0.985946i | \(-0.553429\pi\) |
0.937387 | − | 0.348290i | \(-0.113238\pi\) | |||||||
\(614\) | −30.0704 | −1.21354 | ||||||||
\(615\) | −1.79963 | + | 2.42517i | −0.0725681 | + | 0.0977925i | ||||
\(616\) | 16.2598 | − | 1.43081i | 0.655128 | − | 0.0576490i | ||||
\(617\) | −14.7394 | − | 8.50978i | −0.593384 | − | 0.342591i | 0.173050 | − | 0.984913i | \(-0.444638\pi\) |
−0.766435 | + | 0.642322i | \(0.777971\pi\) | |||||||
\(618\) | 15.6771 | + | 36.1890i | 0.630626 | + | 1.45573i | ||||
\(619\) | 25.5648 | − | 14.7598i | 1.02754 | − | 0.593248i | 0.111258 | − | 0.993792i | \(-0.464512\pi\) |
0.916278 | + | 0.400543i | \(0.131179\pi\) | |||||||
\(620\) | 16.5526i | 0.664767i | ||||||||
\(621\) | −2.05342 | + | 5.72456i | −0.0824010 | + | 0.229719i | ||||
\(622\) | 3.15915 | − | 1.82394i | 0.126670 | − | 0.0731332i | ||||
\(623\) | −23.8824 | − | 34.0710i | −0.956827 | − | 1.36503i | ||||
\(624\) | −10.9494 | − | 27.9731i | −0.438328 | − | 1.11982i | ||||
\(625\) | 5.08601 | − | 8.80923i | 0.203440 | − | 0.352369i | ||||
\(626\) | −24.8815 | + | 43.0960i | −0.994464 | + | 1.72246i | ||||
\(627\) | 17.7865 | − | 23.9690i | 0.710322 | − | 0.957228i | ||||
\(628\) | 4.41732 | − | 2.55034i | 0.176270 | − | 0.101770i | ||||
\(629\) | 9.11425 | 0.363409 | ||||||||
\(630\) | −23.2859 | + | 9.34836i | −0.927733 | + | 0.372448i | ||||
\(631\) | 15.2403 | − | 26.3970i | 0.606708 | − | 1.05085i | −0.385071 | − | 0.922887i | \(-0.625823\pi\) |
0.991779 | − | 0.127963i | \(-0.0408437\pi\) | |||||||
\(632\) | −8.46851 | − | 4.88930i | −0.336859 | − | 0.194486i | ||||
\(633\) | 29.8914 | + | 3.44676i | 1.18808 | + | 0.136996i | ||||
\(634\) | −11.0419 | + | 19.1252i | −0.438532 | + | 0.759559i | ||||
\(635\) | −2.74264 | −0.108838 | ||||||||
\(636\) | 2.32052 | − | 20.1243i | 0.0920147 | − | 0.797980i | ||||
\(637\) | 15.5428 | + | 19.8852i | 0.615829 | + | 0.787880i | ||||
\(638\) | 68.9001i | 2.72778i | ||||||||
\(639\) | −9.65245 | + | 41.2980i | −0.381845 | + | 1.63372i | ||||
\(640\) | −11.8684 | − | 6.85221i | −0.469139 | − | 0.270857i | ||||
\(641\) | 19.8725i | 0.784916i | 0.919770 | + | 0.392458i | \(0.128375\pi\) | ||||
−0.919770 | + | 0.392458i | \(0.871625\pi\) | |||||||
\(642\) | 20.9813 | − | 28.2743i | 0.828065 | − | 1.11590i | ||||
\(643\) | −36.4481 | − | 21.0433i | −1.43737 | − | 0.829867i | −0.439705 | − | 0.898142i | \(-0.644917\pi\) |
−0.997667 | + | 0.0682753i | \(0.978250\pi\) | |||||||
\(644\) | −3.64045 | + | 2.55180i | −0.143454 | + | 0.100555i | ||||
\(645\) | 7.56840 | + | 0.872709i | 0.298005 | + | 0.0343629i | ||||
\(646\) | 5.49132 | + | 9.51125i | 0.216053 | + | 0.374215i | ||||
\(647\) | 6.08096 | − | 10.5325i | 0.239067 | − | 0.414076i | −0.721380 | − | 0.692540i | \(-0.756492\pi\) |
0.960447 | + | 0.278463i | \(0.0898251\pi\) | |||||||
\(648\) | 5.22202 | + | 7.83328i | 0.205140 | + | 0.307720i | ||||
\(649\) | 36.1041 | + | 20.8447i | 1.41721 | + | 0.818228i | ||||
\(650\) | 0.498819 | − | 13.9659i | 0.0195653 | − | 0.547789i | ||||
\(651\) | −27.2369 | + | 14.7584i | −1.06750 | + | 0.578426i | ||||
\(652\) | −3.40420 | − | 5.89625i | −0.133319 | − | 0.230915i | ||||
\(653\) | − | 7.60294i | − | 0.297526i | −0.988873 | − | 0.148763i | \(-0.952471\pi\) | ||
0.988873 | − | 0.148763i | \(-0.0475292\pi\) | |||||||
\(654\) | 0.602290 | − | 5.22325i | 0.0235514 | − | 0.204245i | ||||
\(655\) | −5.35337 | − | 9.27230i | −0.209173 | − | 0.362299i | ||||
\(656\) | 2.45871 | + | 4.25861i | 0.0959965 | + | 0.166271i | ||||
\(657\) | −23.1462 | − | 21.7019i | −0.903020 | − | 0.846670i | ||||
\(658\) | 1.06468 | + | 12.0991i | 0.0415054 | + | 0.471670i | ||||
\(659\) | 15.5040 | + | 8.95123i | 0.603950 | + | 0.348690i | 0.770594 | − | 0.637327i | \(-0.219960\pi\) |
−0.166644 | + | 0.986017i | \(0.553293\pi\) | |||||||
\(660\) | 2.86530 | − | 24.8487i | 0.111532 | − | 0.967236i | ||||
\(661\) | −7.73249 | − | 4.46435i | −0.300759 | − | 0.173643i | 0.342025 | − | 0.939691i | \(-0.388887\pi\) |
−0.642784 | + | 0.766048i | \(0.722221\pi\) | |||||||
\(662\) | 11.3862 | − | 6.57380i | 0.442536 | − | 0.255498i | ||||
\(663\) | −4.61614 | − | 11.7931i | −0.179276 | − | 0.458006i | ||||
\(664\) | − | 6.14168i | − | 0.238343i | ||||||
\(665\) | 10.7964 | − | 7.56781i | 0.418665 | − | 0.293467i | ||||
\(666\) | 23.9195 | − | 7.24203i | 0.926860 | − | 0.280623i | ||||
\(667\) | 3.68836 | + | 6.38843i | 0.142814 | + | 0.247361i | ||||
\(668\) | −5.88051 | − | 10.1853i | −0.227524 | − | 0.394083i | ||||
\(669\) | −3.24298 | + | 28.1242i | −0.125381 | + | 1.08734i | ||||
\(670\) | 35.5154 | − | 20.5049i | 1.37208 | − | 0.792172i | ||||
\(671\) | 61.1212 | 2.35956 | ||||||||
\(672\) | −0.845214 | + | 31.2596i | −0.0326048 | + | 1.20586i | ||||
\(673\) | 15.5630 | + | 26.9559i | 0.599910 | + | 1.03908i | 0.992834 | + | 0.119504i | \(0.0381305\pi\) |
−0.392923 | + | 0.919571i | \(0.628536\pi\) | |||||||
\(674\) | 35.4390i | 1.36506i | ||||||||
\(675\) | 1.93661 | + | 10.6916i | 0.0745401 | + | 0.411519i | ||||
\(676\) | 8.15488 | + | 16.7877i | 0.313649 | + | 0.645680i | ||||
\(677\) | 1.74122 | − | 3.01587i | 0.0669204 | − | 0.115909i | −0.830624 | − | 0.556834i | \(-0.812016\pi\) |
0.897544 | + | 0.440924i | \(0.145349\pi\) | |||||||
\(678\) | −3.13830 | − | 7.24444i | −0.120526 | − | 0.278221i | ||||
\(679\) | −0.718554 | − | 8.16570i | −0.0275756 | − | 0.313371i | ||||
\(680\) | −3.13325 | − | 1.80898i | −0.120155 | − | 0.0693713i | ||||
\(681\) | 22.7601 | − | 30.6714i | 0.872169 | − | 1.17533i | ||||
\(682\) | − | 73.9006i | − | 2.82980i | ||||||
\(683\) | − | 49.5224i | − | 1.89492i | −0.319872 | − | 0.947461i | \(-0.603640\pi\) | ||
0.319872 | − | 0.947461i | \(-0.396360\pi\) | |||||||
\(684\) | 9.18015 | + | 8.60730i | 0.351012 | + | 0.329108i | ||||
\(685\) | −5.07536 | − | 2.93026i | −0.193920 | − | 0.111959i | ||||
\(686\) | −8.93495 | − | 33.1451i | −0.341138 | − | 1.26549i | ||||
\(687\) | 21.0865 | − | 9.13469i | 0.804500 | − | 0.348510i | ||||
\(688\) | 6.20267 | − | 10.7433i | 0.236475 | − | 0.409586i | ||||
\(689\) | 1.04844 | − | 29.3543i | 0.0399426 | − | 1.11831i | ||||
\(690\) | −2.54752 | − | 5.88070i | −0.0969825 | − | 0.223874i | ||||
\(691\) | − | 11.2478i | − | 0.427888i | −0.976846 | − | 0.213944i | \(-0.931369\pi\) | ||
0.976846 | − | 0.213944i | \(-0.0686310\pi\) | |||||||
\(692\) | −6.25026 | − | 10.8258i | −0.237599 | − | 0.411534i | ||||
\(693\) | 43.4427 | − | 17.4405i | 1.65025 | − | 0.662510i | ||||
\(694\) | 8.36882 | 0.317676 | ||||||||
\(695\) | 19.3616 | − | 11.1784i | 0.734427 | − | 0.424022i | ||||
\(696\) | 11.3438 | + | 1.30805i | 0.429987 | + | 0.0495816i | ||||
\(697\) | 1.03656 | + | 1.79537i | 0.0392625 | + | 0.0680046i | ||||
\(698\) | −9.10234 | − | 15.7657i | −0.344528 | − | 0.596741i | ||||
\(699\) | −32.6054 | + | 14.1247i | −1.23325 | + | 0.534244i | ||||
\(700\) | −3.35311 | + | 7.20025i | −0.126736 | + | 0.272144i | ||||
\(701\) | 7.65901i | 0.289277i | 0.989485 | + | 0.144638i | \(0.0462019\pi\) | ||||
−0.989485 | + | 0.144638i | \(0.953798\pi\) | |||||||
\(702\) | −21.4852 | − | 27.2819i | −0.810907 | − | 1.02969i | ||||
\(703\) | −11.3724 | + | 6.56587i | −0.428919 | + | 0.247636i | ||||
\(704\) | −15.4663 | − | 8.92946i | −0.582907 | − | 0.336542i | ||||
\(705\) | −7.26827 | − | 0.838101i | −0.273739 | − | 0.0315647i | ||||
\(706\) | 41.6876 | + | 24.0684i | 1.56893 | + | 0.905824i | ||||
\(707\) | −20.6920 | + | 1.82082i | −0.778202 | + | 0.0684791i | ||||
\(708\) | −10.4743 | + | 14.1152i | −0.393649 | + | 0.530480i | ||||
\(709\) | 7.72980 | + | 13.3884i | 0.290299 | + | 0.502812i | 0.973880 | − | 0.227062i | \(-0.0729120\pi\) |
−0.683582 | + | 0.729874i | \(0.739579\pi\) | |||||||
\(710\) | −22.3459 | − | 38.7043i | −0.838628 | − | 1.45255i | ||||
\(711\) | −27.3087 | − | 6.38277i | −1.02415 | − | 0.239372i | ||||
\(712\) | − | 16.4502i | − | 0.616499i | ||||||
\(713\) | −3.95605 | − | 6.85208i | −0.148155 | − | 0.256612i | ||||
\(714\) | −0.465575 | + | 17.2189i | −0.0174237 | + | 0.644403i | ||||
\(715\) | 1.29458 | − | 36.2456i | 0.0484146 | − | 1.35551i | ||||
\(716\) | 27.1692 | + | 15.6861i | 1.01536 | + | 0.586219i | ||||
\(717\) | −8.07724 | − | 5.99381i | −0.301650 | − | 0.223843i | ||||
\(718\) | 9.96605 | − | 17.2617i | 0.371930 | − | 0.644201i | ||||
\(719\) | 26.6581 | + | 46.1732i | 0.994181 | + | 1.72197i | 0.590384 | + | 0.807122i | \(0.298976\pi\) |
0.403796 | + | 0.914849i | \(0.367690\pi\) | |||||||
\(720\) | −23.9663 | − | 5.60157i | −0.893171 | − | 0.208758i | ||||
\(721\) | −2.84903 | − | 32.3766i | −0.106104 | − | 1.20577i | ||||
\(722\) | 16.7955 | + | 9.69690i | 0.625065 | + | 0.360881i | ||||
\(723\) | −5.50519 | − | 4.08519i | −0.204740 | − | 0.151930i | ||||
\(724\) | 19.3428i | 0.718870i | ||||||||
\(725\) | 11.4135 | + | 6.58961i | 0.423888 | + | 0.244732i | ||||
\(726\) | −8.74706 | + | 75.8572i | −0.324634 | + | 2.81533i | ||||
\(727\) | − | 9.51423i | − | 0.352863i | −0.984313 | − | 0.176432i | \(-0.943545\pi\) | ||
0.984313 | − | 0.176432i | \(-0.0564554\pi\) | |||||||
\(728\) | 0.519338 | + | 9.96504i | 0.0192479 | + | 0.369329i | ||||
\(729\) | 20.8440 | + | 17.1618i | 0.772000 | + | 0.635623i | ||||
\(730\) | 33.4352 | 1.23749 | ||||||||
\(731\) | 2.61496 | − | 4.52925i | 0.0967180 | − | 0.167520i | ||||
\(732\) | −2.95193 | + | 25.6000i | −0.109106 | + | 0.946204i | ||||
\(733\) | −45.6934 | − | 26.3811i | −1.68772 | − | 0.974407i | −0.956257 | − | 0.292529i | \(-0.905503\pi\) |
−0.731466 | − | 0.681878i | \(-0.761164\pi\) | |||||||
\(734\) | 8.14743 | − | 14.1118i | 0.300727 | − | 0.520874i | ||||
\(735\) | 20.6406 | − | 1.25523i | 0.761342 | − | 0.0462998i | ||||
\(736\) | −7.98685 | −0.294399 | ||||||||
\(737\) | −66.2584 | + | 38.2543i | −2.44066 | + | 1.40912i | ||||
\(738\) | 4.14692 | + | 3.88815i | 0.152650 | + | 0.143125i | ||||
\(739\) | 6.23375 | − | 10.7972i | 0.229312 | − | 0.397180i | −0.728292 | − | 0.685267i | \(-0.759686\pi\) |
0.957604 | + | 0.288086i | \(0.0930190\pi\) | |||||||
\(740\) | −5.50247 | + | 9.53056i | −0.202275 | + | 0.350350i | ||||
\(741\) | 14.2555 | + | 11.3895i | 0.523690 | + | 0.418404i | ||||
\(742\) | −16.8659 | + | 36.2167i | −0.619167 | + | 1.32956i | ||||
\(743\) | 37.2108 | − | 21.4837i | 1.36513 | − | 0.788160i | 0.374831 | − | 0.927093i | \(-0.377701\pi\) |
0.990302 | + | 0.138933i | \(0.0443673\pi\) | |||||||
\(744\) | −12.1671 | − | 1.40299i | −0.446069 | − | 0.0514360i | ||||
\(745\) | 18.5088i | 0.678110i | ||||||||
\(746\) | −53.4148 | + | 30.8391i | −1.95566 | + | 1.12910i | ||||
\(747\) | −5.10416 | − | 16.8584i | −0.186752 | − | 0.616816i | ||||
\(748\) | −14.8705 | − | 8.58551i | −0.543721 | − | 0.313917i | ||||
\(749\) | −23.7599 | + | 16.6547i | −0.868167 | + | 0.608549i | ||||
\(750\) | −31.1807 | − | 23.1380i | −1.13856 | − | 0.844881i | ||||
\(751\) | 51.7985 | 1.89015 | 0.945077 | − | 0.326848i | \(-0.105986\pi\) | ||||
0.945077 | + | 0.326848i | \(0.105986\pi\) | |||||||
\(752\) | −5.95670 | + | 10.3173i | −0.217218 | + | 0.376233i | ||||
\(753\) | −5.22895 | − | 12.0705i | −0.190554 | − | 0.439873i | ||||
\(754\) | −42.0939 | − | 1.50346i | −1.53297 | − | 0.0547529i | ||||
\(755\) | 10.3932 | 0.378246 | ||||||||
\(756\) | 5.20667 | + | 19.0379i | 0.189365 | + | 0.692401i | ||||
\(757\) | 8.97557 | + | 15.5461i | 0.326223 | + | 0.565034i | 0.981759 | − | 0.190130i | \(-0.0608908\pi\) |
−0.655536 | + | 0.755163i | \(0.727557\pi\) | |||||||
\(758\) | 57.7546 | − | 33.3446i | 2.09774 | − | 1.21113i | ||||
\(759\) | 4.75271 | + | 10.9712i | 0.172513 | + | 0.398228i | ||||
\(760\) | 5.21273 | 0.189086 | ||||||||
\(761\) | −22.1518 | − | 38.3680i | −0.803000 | − | 1.39084i | −0.917633 | − | 0.397430i | \(-0.869902\pi\) |
0.114632 | − | 0.993408i | \(-0.463431\pi\) | |||||||
\(762\) | −0.591378 | + | 5.12862i | −0.0214234 | + | 0.185790i | ||||
\(763\) | −1.82924 | + | 3.92799i | −0.0662229 | + | 0.142203i | ||||
\(764\) | −11.9342 | + | 6.89024i | −0.431766 | + | 0.249280i | ||||
\(765\) | −10.1039 | − | 2.36155i | −0.365307 | − | 0.0853819i | ||||
\(766\) | 0.202147 | − | 0.116710i | 0.00730388 | − | 0.00421690i | ||||
\(767\) | −13.5228 | + | 21.6027i | −0.488278 | + | 0.780028i | ||||
\(768\) | −21.6232 | + | 29.1393i | −0.780260 | + | 1.05148i | ||||
\(769\) | −40.9044 | + | 23.6162i | −1.47505 | + | 0.851621i | −0.999604 | − | 0.0281229i | \(-0.991047\pi\) |
−0.475447 | + | 0.879744i | \(0.657714\pi\) | |||||||
\(770\) | −20.8254 | + | 44.7191i | −0.750495 | + | 1.61156i | ||||
\(771\) | 7.80520 | − | 10.5183i | 0.281097 | − | 0.378806i | ||||
\(772\) | −6.50613 | + | 11.2690i | −0.234161 | + | 0.405579i | ||||
\(773\) | −17.8893 | −0.643433 | −0.321717 | − | 0.946836i | \(-0.604260\pi\) | ||||
−0.321717 | + | 0.946836i | \(0.604260\pi\) | |||||||
\(774\) | 3.26385 | − | 13.9644i | 0.117317 | − | 0.501940i | ||||
\(775\) | −12.2419 | − | 7.06786i | −0.439742 | − | 0.253885i | ||||
\(776\) | 1.62045 | − | 2.80671i | 0.0581709 | − | 0.100755i | ||||
\(777\) | −20.5883 | − | 0.556679i | −0.738603 | − | 0.0199708i | ||||
\(778\) | −1.90903 | − | 3.30654i | −0.0684422 | − | 0.118545i | ||||
\(779\) | −2.58676 | − | 1.49347i | −0.0926803 | − | 0.0535090i | ||||
\(780\) | 15.1186 | + | 2.29275i | 0.541333 | + | 0.0820937i | ||||
\(781\) | 41.6891 | + | 72.2076i | 1.49175 | + | 2.58379i | ||||
\(782\) | −4.39946 | −0.157324 | ||||||||
\(783\) | 32.2249 | − | 5.83703i | 1.15162 | − | 0.208598i | ||||
\(784\) | 11.4844 | − | 31.6524i | 0.410157 | − | 1.13044i | ||||
\(785\) | − | 6.05960i | − | 0.216276i | ||||||
\(786\) | −18.4931 | + | 8.01123i | −0.659627 | + | 0.285751i | ||||
\(787\) | − | 15.1707i | − | 0.540779i | −0.962751 | − | 0.270389i | \(-0.912848\pi\) | ||
0.962751 | − | 0.270389i | \(-0.0871524\pi\) | |||||||
\(788\) | −5.08764 | + | 2.93735i | −0.181240 | + | 0.104639i | ||||
\(789\) | −35.5304 | + | 15.3918i | −1.26492 | + | 0.547963i | ||||
\(790\) | 25.5936 | − | 14.7764i | 0.910578 | − | 0.525722i | ||||
\(791\) | 0.570330 | + | 6.48127i | 0.0202786 | + | 0.230447i | ||||
\(792\) | 18.0224 | + | 4.21233i | 0.640400 | + | 0.149679i | ||||
\(793\) | −1.33372 | + | 37.3415i | −0.0473619 | + | 1.32604i | ||||
\(794\) | −30.1467 | − | 52.2155i | −1.06986 | − | 1.85306i | ||||
\(795\) | −19.3262 | − | 14.3412i | −0.685429 | − | 0.508631i | ||||
\(796\) | 5.73244i | 0.203181i | ||||||||
\(797\) | 17.8011 | − | 30.8323i | 0.630546 | − | 1.09214i | −0.356894 | − | 0.934145i | \(-0.616164\pi\) |
0.987440 | − | 0.157993i | \(-0.0505023\pi\) | |||||||
\(798\) | −11.8235 | − | 21.8205i | −0.418548 | − | 0.772438i | ||||
\(799\) | −2.51127 | + | 4.34964i | −0.0888422 | + | 0.153879i | ||||
\(800\) | −12.3575 | + | 7.13463i | −0.436905 | + | 0.252247i | ||||
\(801\) | −13.6713 | − | 45.1545i | −0.483052 | − | 1.59545i | ||||
\(802\) | −47.5203 | −1.67800 | ||||||||
\(803\) | −62.3774 | −2.20125 | ||||||||
\(804\) | −12.8224 | − | 29.5992i | −0.452212 | − | 1.04388i | ||||
\(805\) | 0.462967 | + | 5.26119i | 0.0163174 | + | 0.185432i | ||||
\(806\) | 45.1490 | + | 1.61258i | 1.59031 | + | 0.0568008i | ||||
\(807\) | −6.04195 | + | 8.14211i | −0.212687 | + | 0.286616i | ||||
\(808\) | −7.11223 | − | 4.10625i | −0.250207 | − | 0.144457i | ||||
\(809\) | 2.30594 | + | 1.33134i | 0.0810726 | + | 0.0468073i | 0.539988 | − | 0.841673i | \(-0.318429\pi\) |
−0.458916 | + | 0.888480i | \(0.651762\pi\) | |||||||
\(810\) | −28.3931 | + | 1.83072i | −0.997632 | + | 0.0643250i | ||||
\(811\) | 31.5585i | 1.10817i | 0.832460 | + | 0.554085i | \(0.186932\pi\) | ||||
−0.832460 | + | 0.554085i | \(0.813068\pi\) | |||||||
\(812\) | 21.7019 | + | 10.1064i | 0.761587 | + | 0.354667i | ||||
\(813\) | −41.1081 | − | 30.5047i | −1.44172 | − | 1.06985i | ||||
\(814\) | 24.5663 | − | 42.5501i | 0.861049 | − | 1.49138i | ||||
\(815\) | −8.08836 | −0.283323 | ||||||||
\(816\) | −10.0683 | + | 13.5680i | −0.352462 | + | 0.474976i | ||||
\(817\) | 7.53524i | 0.263625i | ||||||||
\(818\) | 37.4207 | 1.30838 | ||||||||
\(819\) | 9.70718 | + | 26.9216i | 0.339196 | + | 0.940716i | ||||
\(820\) | −2.50317 | −0.0874146 | ||||||||
\(821\) | 14.7377i | 0.514348i | 0.966365 | + | 0.257174i | \(0.0827914\pi\) | ||||
−0.966365 | + | 0.257174i | \(0.917209\pi\) | |||||||
\(822\) | −6.57382 | + | 8.85886i | −0.229288 | + | 0.308988i | ||||
\(823\) | 10.6598 | 0.371578 | 0.185789 | − | 0.982590i | \(-0.440516\pi\) | ||||
0.185789 | + | 0.982590i | \(0.440516\pi\) | |||||||
\(824\) | 6.42503 | − | 11.1285i | 0.223826 | − | 0.387679i | ||||
\(825\) | 17.1541 | + | 12.7294i | 0.597229 | + | 0.443181i | ||||
\(826\) | 28.3855 | − | 19.8971i | 0.987658 | − | 0.692308i | ||||
\(827\) | − | 5.83602i | − | 0.202938i | −0.994839 | − | 0.101469i | \(-0.967646\pi\) | ||
0.994839 | − | 0.101469i | \(-0.0323543\pi\) | |||||||
\(828\) | −4.82470 | + | 1.46076i | −0.167670 | + | 0.0507650i | ||||
\(829\) | −19.0136 | − | 10.9775i | −0.660371 | − | 0.381265i | 0.132048 | − | 0.991243i | \(-0.457845\pi\) |
−0.792418 | + | 0.609978i | \(0.791178\pi\) | |||||||
\(830\) | 16.0746 | + | 9.28070i | 0.557959 | + | 0.322138i | ||||
\(831\) | −21.0975 | + | 28.4309i | −0.731863 | + | 0.986256i | ||||
\(832\) | 5.79287 | − | 9.25415i | 0.200832 | − | 0.320830i | ||||
\(833\) | 4.84167 | − | 13.3442i | 0.167754 | − | 0.462350i | ||||
\(834\) | −16.7283 | − | 38.6156i | −0.579255 | − | 1.33715i | ||||
\(835\) | −13.9721 | −0.483523 | ||||||||
\(836\) | 24.7399 | 0.855646 | ||||||||
\(837\) | −34.5637 | + | 6.26066i | −1.19470 | + | 0.216400i | ||||
\(838\) | −16.0629 | + | 9.27395i | −0.554885 | + | 0.320363i | ||||
\(839\) | −17.4191 | + | 30.1707i | −0.601373 | + | 1.04161i | 0.391240 | + | 0.920289i | \(0.372046\pi\) |
−0.992613 | + | 0.121320i | \(0.961287\pi\) | |||||||
\(840\) | 6.96726 | + | 4.27771i | 0.240393 | + | 0.147595i | ||||
\(841\) | 5.36139 | − | 9.28620i | 0.184875 | − | 0.320214i | ||||
\(842\) | − | 3.95675i | − | 0.136358i | ||||||
\(843\) | −3.71535 | − | 2.75702i | −0.127963 | − | 0.0949568i | ||||
\(844\) | 12.4702 | + | 21.5991i | 0.429243 | + | 0.743470i | ||||
\(845\) | 22.1157 | + | 1.58183i | 0.760805 | + | 0.0544166i | ||||
\(846\) | −3.13442 | + | 13.4106i | −0.107764 | + | 0.461067i | ||||
\(847\) | 26.5661 | − | 57.0462i | 0.912821 | − | 1.96013i | ||||
\(848\) | −33.9368 | + | 19.5934i | −1.16539 | + | 0.672841i | ||||
\(849\) | 13.3017 | − | 5.76229i | 0.456512 | − | 0.197761i | ||||
\(850\) | −6.80700 | + | 3.93002i | −0.233478 | + | 0.134799i | ||||
\(851\) | − | 5.26034i | − | 0.180322i | ||||||
\(852\) | −32.2569 | + | 13.9737i | −1.10510 | + | 0.478732i | ||||
\(853\) | 45.7884i | 1.56777i | 0.620909 | + | 0.783883i | \(0.286764\pi\) | ||||
−0.620909 | + | 0.783883i | \(0.713236\pi\) | |||||||
\(854\) | 21.4550 | − | 46.0711i | 0.734177 | − | 1.57652i | ||||
\(855\) | 14.3085 | − | 4.33214i | 0.489340 | − | 0.148156i | ||||
\(856\) | −11.4718 | −0.392098 | ||||||||
\(857\) | 15.3636 | + | 26.6106i | 0.524811 | + | 0.909000i | 0.999583 | + | 0.0288907i | \(0.00919747\pi\) |
−0.474771 | + | 0.880109i | \(0.657469\pi\) | |||||||
\(858\) | −67.4986 | − | 10.2362i | −2.30436 | − | 0.349459i | ||||
\(859\) | 14.7822 | + | 8.53450i | 0.504362 | + | 0.291194i | 0.730513 | − | 0.682899i | \(-0.239281\pi\) |
−0.226151 | + | 0.974092i | \(0.572614\pi\) | |||||||
\(860\) | 3.15742 | + | 5.46881i | 0.107667 | + | 0.186485i | ||||
\(861\) | −2.23185 | − | 4.11891i | −0.0760611 | − | 0.140372i | ||||
\(862\) | −18.8627 | + | 32.6712i | −0.642467 | + | 1.11279i | ||||
\(863\) | −9.36001 | − | 5.40401i | −0.318619 | − | 0.183955i | 0.332158 | − | 0.943224i | \(-0.392223\pi\) |
−0.650777 | + | 0.759269i | \(0.725557\pi\) | |||||||
\(864\) | −11.9720 | + | 33.3757i | −0.407296 | + | 1.13546i | ||||
\(865\) | −14.8506 | −0.504935 | ||||||||
\(866\) | 1.80362 | − | 3.12395i | 0.0612893 | − | 0.106156i | ||||
\(867\) | 13.3019 | − | 17.9256i | 0.451756 | − | 0.608785i | ||||
\(868\) | −23.2769 | − | 10.8399i | −0.790071 | − | 0.367931i | ||||
\(869\) | −47.7479 | + | 27.5673i | −1.61974 | + | 0.935155i | ||||
\(870\) | −20.5652 | + | 27.7137i | −0.697227 | + | 0.939581i | ||||
\(871\) | −21.9253 | − | 41.3148i | −0.742912 | − | 1.39990i | ||||
\(872\) | −1.48362 | + | 0.856566i | −0.0502416 | + | 0.0290070i | ||||
\(873\) | 2.11543 | − | 9.05088i | 0.0715966 | − | 0.306326i | ||||
\(874\) | 5.48947 | − | 3.16935i | 0.185684 | − | 0.107205i | ||||
\(875\) | 18.3667 | + | 26.2022i | 0.620908 | + | 0.885798i | ||||
\(876\) | 3.01260 | − | 26.1262i | 0.101786 | − | 0.882722i | ||||
\(877\) | 20.4130 | + | 35.3564i | 0.689299 | + | 1.19390i | 0.972065 | + | 0.234713i | \(0.0754149\pi\) |
−0.282765 | + | 0.959189i | \(0.591252\pi\) | |||||||
\(878\) | −28.0657 | −0.947173 | ||||||||
\(879\) | 7.57069 | + | 17.4762i | 0.255353 | + | 0.589457i | ||||
\(880\) | −41.9039 | + | 24.1933i | −1.41258 | + | 0.815555i | ||||
\(881\) | −24.1528 | − | 41.8338i | −0.813727 | − | 1.40942i | −0.910238 | − | 0.414085i | \(-0.864102\pi\) |
0.0965107 | − | 0.995332i | \(-0.469232\pi\) | |||||||
\(882\) | 2.10339 | − | 38.8677i | 0.0708249 | − | 1.30874i | ||||
\(883\) | 11.7284 | 0.394693 | 0.197347 | − | 0.980334i | \(-0.436768\pi\) | ||||
0.197347 | + | 0.980334i | \(0.436768\pi\) | |||||||
\(884\) | 5.56974 | − | 8.89770i | 0.187331 | − | 0.299262i | ||||
\(885\) | 8.30044 | + | 19.1607i | 0.279016 | + | 0.644081i | ||||
\(886\) | 11.1784 | − | 19.3615i | 0.375546 | − | 0.650464i | ||||
\(887\) | 21.7190 | 0.729254 | 0.364627 | − | 0.931154i | \(-0.381196\pi\) | ||||
0.364627 | + | 0.931154i | \(0.381196\pi\) | |||||||
\(888\) | −6.53914 | − | 4.85245i | −0.219439 | − | 0.162838i | ||||
\(889\) | 1.79610 | − | 3.85682i | 0.0602392 | − | 0.129354i | ||||
\(890\) | 43.0553 | + | 24.8580i | 1.44322 | + | 0.833241i | ||||
\(891\) | 52.9708 | − | 3.41544i | 1.77459 | − | 0.114421i | ||||
\(892\) | −20.3221 | + | 11.7330i | −0.680434 | + | 0.392849i | ||||
\(893\) | − | 7.23642i | − | 0.242158i | ||||||
\(894\) | 34.6106 | + | 3.99093i | 1.15755 | + | 0.133477i | ||||
\(895\) | 32.2769 | − | 18.6351i | 1.07890 | − | 0.622902i | ||||
\(896\) | 17.4082 | − | 12.2025i | 0.581568 | − | 0.407655i | ||||
\(897\) | −6.80645 | + | 2.66423i | −0.227261 | + | 0.0889561i | ||||
\(898\) | 29.8095 | − | 51.6316i | 0.994756 | − | 1.72297i | ||||
\(899\) | −21.3029 | + | 36.8977i | −0.710490 | + | 1.23061i | ||||
\(900\) | −6.16006 | + | 6.57004i | −0.205335 | + | 0.219001i | ||||
\(901\) | −14.3073 | + | 8.26033i | −0.476646 | + | 0.275192i | ||||
\(902\) | 11.1757 | 0.372109 | ||||||||
\(903\) | −6.18363 | + | 10.0715i | −0.205778 | + | 0.335158i | ||||
\(904\) | −1.28619 | + | 2.22774i | −0.0427779 | + | 0.0740935i | ||||
\(905\) | 19.9006 | + | 11.4896i | 0.661518 | + | 0.381927i | ||||
\(906\) | 2.24102 | − | 19.4348i | 0.0744528 | − | 0.645677i | ||||
\(907\) | −13.3189 | + | 23.0690i | −0.442248 | + | 0.765995i | −0.997856 | − | 0.0654489i | \(-0.979152\pi\) |
0.555608 | + | 0.831444i | \(0.312485\pi\) | |||||||
\(908\) | 31.6579 | 1.05060 | ||||||||
\(909\) | −22.9350 | − | 5.36053i | −0.760707 | − | 0.177798i | ||||
\(910\) | −26.8663 | − | 13.6989i | −0.890610 | − | 0.454115i | ||||
\(911\) | − | 11.6861i | − | 0.387178i | −0.981083 | − | 0.193589i | \(-0.937987\pi\) | ||
0.981083 | − | 0.193589i | \(-0.0620128\pi\) | |||||||
\(912\) | 2.78851 | − | 24.1828i | 0.0923369 | − | 0.800774i | ||||
\(913\) | −29.9892 | − | 17.3143i | −0.992498 | − | 0.573019i | ||||
\(914\) | 39.5611i | 1.30857i | ||||||||
\(915\) | 24.5848 | + | 18.2434i | 0.812748 | + | 0.603109i | ||||
\(916\) | 16.4957 | + | 9.52382i | 0.545035 | + | 0.314676i | ||||
\(917\) | 16.5449 | − | 1.45590i | 0.546362 | − | 0.0480780i | ||||
\(918\) | −6.59462 | + | 18.3846i | −0.217655 | + | 0.606782i | ||||
\(919\) | −3.42859 | − | 5.93849i | −0.113099 | − | 0.195893i | 0.803919 | − | 0.594738i | \(-0.202744\pi\) |
−0.917018 | + | 0.398846i | \(0.869411\pi\) | |||||||
\(920\) | −1.04406 | + | 1.80837i | −0.0344218 | + | 0.0596203i | ||||
\(921\) | 22.5651 | + | 16.7447i | 0.743545 | + | 0.551756i | ||||
\(922\) | 20.2311 | + | 11.6805i | 0.666277 | + | 0.384675i | ||||
\(923\) | −45.0244 | + | 23.8940i | −1.48200 | + | 0.786480i | ||||
\(924\) | 33.0670 | + | 20.3022i | 1.08782 | + | 0.667894i | ||||
\(925\) | −4.69905 | − | 8.13900i | −0.154504 | − | 0.267609i | ||||
\(926\) | 31.2340i | 1.02641i | ||||||||
\(927\) | 8.38760 | − | 35.8863i | 0.275485 | − | 1.17866i | ||||
\(928\) | 21.5041 | + | 37.2462i | 0.705907 | + | 1.22267i | ||||
\(929\) | 5.93983 | + | 10.2881i | 0.194880 | + | 0.337541i | 0.946861 | − | 0.321643i | \(-0.104235\pi\) |
−0.751981 | + | 0.659184i | \(0.770902\pi\) | |||||||
\(930\) | 22.0578 | − | 29.7250i | 0.723304 | − | 0.974722i | ||||
\(931\) | 3.57187 | + | 20.1383i | 0.117063 | + | 0.660007i | ||||
\(932\) | −25.5068 | − | 14.7264i | −0.835504 | − | 0.482379i | ||||
\(933\) | −3.38631 | − | 0.390474i | −0.110863 | − | 0.0127835i | ||||
\(934\) | 44.2919 | + | 25.5720i | 1.44928 | + | 0.836740i | ||||
\(935\) | −17.6662 | + | 10.1996i | −0.577745 | + | 0.333561i | ||||
\(936\) | −2.96676 | + | 10.9188i | −0.0969715 | + | 0.356891i | ||||
\(937\) | − | 26.1642i | − | 0.854748i | −0.904075 | − | 0.427374i | \(-0.859439\pi\) | ||
0.904075 | − | 0.427374i | \(-0.140561\pi\) | |||||||
\(938\) | 5.57649 | + | 63.3716i | 0.182079 | + | 2.06916i | ||||
\(939\) | 42.6693 | − | 18.4844i | 1.39246 | − | 0.603215i | ||||
\(940\) | −3.03221 | − | 5.25194i | −0.0988998 | − | 0.171300i | ||||
\(941\) | −16.1928 | − | 28.0467i | −0.527869 | − | 0.914297i | −0.999472 | − | 0.0324856i | \(-0.989658\pi\) |
0.471603 | − | 0.881811i | \(-0.343676\pi\) | |||||||
\(942\) | −11.3312 | − | 1.30659i | −0.369190 | − | 0.0425711i | ||||
\(943\) | 1.03621 | − | 0.598257i | 0.0337437 | − | 0.0194819i | ||||
\(944\) | 34.0013 | 1.10665 | ||||||||
\(945\) | 22.6796 | + | 5.95167i | 0.737767 | + | 0.193608i | ||||
\(946\) | −14.0966 | − | 24.4161i | −0.458321 | − | 0.793835i | ||||
\(947\) | − | 30.5327i | − | 0.992179i | −0.868271 | − | 0.496089i | \(-0.834769\pi\) | ||
0.868271 | − | 0.496089i | \(-0.165231\pi\) | |||||||
\(948\) | −9.24024 | − | 21.3301i | −0.300109 | − | 0.692771i | ||||
\(949\) | 1.36113 | − | 38.1090i | 0.0441843 | − | 1.23707i | ||||
\(950\) | 5.66234 | − | 9.80747i | 0.183711 | − | 0.318196i | ||||
\(951\) | 18.9358 | − | 8.20302i | 0.614037 | − | 0.266001i | ||||
\(952\) | 4.59577 | − | 3.22144i | 0.148950 | − | 0.104408i | ||||
\(953\) | −35.9952 | − | 20.7818i | −1.16600 | − | 0.673190i | −0.213265 | − | 0.976994i | \(-0.568410\pi\) |
−0.952734 | + | 0.303804i | \(0.901743\pi\) | |||||||
\(954\) | −30.9846 | + | 33.0468i | −1.00316 | + | 1.06993i | ||||
\(955\) | 16.3712i | 0.529758i | ||||||||
\(956\) | − | 8.33703i | − | 0.269639i | ||||||
\(957\) | 38.3670 | − | 51.7032i | 1.24023 | − | 1.67133i | ||||
\(958\) | 8.41800 | + | 4.86013i | 0.271973 | + | 0.157024i | ||||
\(959\) | 7.44441 | − | 5.21823i | 0.240392 | − | 0.168505i | ||||
\(960\) | −3.55574 | − | 8.20806i | −0.114761 | − | 0.264914i | ||||
\(961\) | 7.34897 | − | 12.7288i | 0.237064 | − | 0.410606i | ||||
\(962\) | 25.4596 | + | 15.9371i | 0.820851 | + | 0.513832i | ||||
\(963\) | −31.4891 | + | 9.53386i | −1.01472 | + | 0.307224i | ||||
\(964\) | − | 5.68225i | − | 0.183013i | ||||||
\(965\) | 7.72927 | + | 13.3875i | 0.248814 | + | 0.430958i | ||||
\(966\) | 9.93801 | + | 0.268710i | 0.319750 | + | 0.00864559i | ||||
\(967\) | −5.77518 | −0.185717 | −0.0928587 | − | 0.995679i | \(-0.529600\pi\) | ||||
−0.0928587 | + | 0.995679i | \(0.529600\pi\) | |||||||
\(968\) | 21.5465 | − | 12.4399i | 0.692532 | − | 0.399834i | ||||
\(969\) | 1.17560 | − | 10.1952i | 0.0377657 | − | 0.327516i | ||||
\(970\) | 4.89734 | + | 8.48245i | 0.157244 | + | 0.272355i | ||||
\(971\) | 15.8324 | + | 27.4226i | 0.508087 | + | 0.880033i | 0.999956 | + | 0.00936340i | \(0.00298051\pi\) |
−0.491869 | + | 0.870669i | \(0.663686\pi\) | |||||||
\(972\) | −1.12777 | + | 22.3513i | −0.0361732 | + | 0.716917i | ||||
\(973\) | 3.04008 | + | 34.5476i | 0.0974603 | + | 1.10755i | ||||
\(974\) | − | 25.5216i | − | 0.817766i | ||||||
\(975\) | −8.15124 | + | 10.2024i | −0.261049 | + | 0.326738i | ||||
\(976\) | 43.1709 | − | 24.9247i | 1.38187 | − | 0.797821i | ||||
\(977\) | −29.8684 | − | 17.2445i | −0.955574 | − | 0.551701i | −0.0607662 | − | 0.998152i | \(-0.519354\pi\) |
−0.894808 | + | 0.446451i | \(0.852688\pi\) | |||||||
\(978\) | −1.74404 | + | 15.1249i | −0.0557683 | + | 0.483640i | ||||
\(979\) | −80.3249 | − | 46.3756i | −2.56719 | − | 1.48217i | ||||
\(980\) | 11.0307 | + | 13.1190i | 0.352364 | + | 0.419072i | ||||
\(981\) | −3.36053 | + | 3.58419i | −0.107293 | + | 0.114434i | ||||
\(982\) | 4.68708 | + | 8.11826i | 0.149571 | + | 0.259064i | ||||
\(983\) | −15.6428 | − | 27.0940i | −0.498926 | − | 0.864166i | 0.501073 | − | 0.865405i | \(-0.332939\pi\) |
−0.999999 | + | 0.00123917i | \(0.999606\pi\) | |||||||
\(984\) | 0.212168 | − | 1.83998i | 0.00676366 | − | 0.0586565i | ||||
\(985\) | 6.97913i | 0.222374i | ||||||||
\(986\) | 11.8453 | + | 20.5166i | 0.377230 | + | 0.653382i | ||||
\(987\) | 5.93841 | − | 9.67210i | 0.189022 | − | 0.307866i | ||||
\(988\) | −0.539847 | + | 15.1146i | −0.0171748 | + | 0.480860i | ||||
\(989\) | −2.61408 | − | 1.50924i | −0.0831230 | − | 0.0479911i | ||||
\(990\) | −38.2587 | + | 40.8050i | −1.21594 | + | 1.29687i | ||||
\(991\) | −4.95205 | + | 8.57720i | −0.157307 | + | 0.272464i | −0.933897 | − | 0.357543i | \(-0.883615\pi\) |
0.776590 | + | 0.630007i | \(0.216948\pi\) | |||||||
\(992\) | −23.0648 | − | 39.9495i | −0.732309 | − | 1.26840i | ||||
\(993\) | −12.2049 | − | 1.40734i | −0.387311 | − | 0.0446606i | ||||
\(994\) | 69.0616 | − | 6.07719i | 2.19050 | − | 0.192757i | ||||
\(995\) | 5.89773 | + | 3.40506i | 0.186971 | + | 0.107948i | ||||
\(996\) | 8.70029 | − | 11.7245i | 0.275679 | − | 0.371504i | ||||
\(997\) | − | 34.0135i | − | 1.07722i | −0.842556 | − | 0.538609i | \(-0.818950\pi\) | ||
0.842556 | − | 0.538609i | \(-0.181050\pi\) | |||||||
\(998\) | 56.2421 | + | 32.4714i | 1.78031 | + | 1.02786i | ||||
\(999\) | −21.9821 | − | 7.88506i | −0.695483 | − | 0.249472i |
(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 | 273.2.r.b.68.7 | ✓ | 64 | |
3.2 | odd | 2 | inner | 273.2.r.b.68.26 | yes | 64 | |
7.3 | odd | 6 | 273.2.bf.b.185.26 | yes | 64 | ||
13.9 | even | 3 | 273.2.bf.b.152.7 | yes | 64 | ||
21.17 | even | 6 | 273.2.bf.b.185.7 | yes | 64 | ||
39.35 | odd | 6 | 273.2.bf.b.152.26 | yes | 64 | ||
91.87 | odd | 6 | inner | 273.2.r.b.269.7 | yes | 64 | |
273.269 | even | 6 | inner | 273.2.r.b.269.26 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.7 | ✓ | 64 | 1.1 | even | 1 | trivial | |
273.2.r.b.68.26 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.r.b.269.7 | yes | 64 | 91.87 | odd | 6 | inner | |
273.2.r.b.269.26 | yes | 64 | 273.269 | even | 6 | inner | |
273.2.bf.b.152.7 | yes | 64 | 13.9 | even | 3 | ||
273.2.bf.b.152.26 | yes | 64 | 39.35 | odd | 6 | ||
273.2.bf.b.185.7 | yes | 64 | 21.17 | even | 6 | ||
273.2.bf.b.185.26 | yes | 64 | 7.3 | odd | 6 |