Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(101,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bn (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 173.11 | ||
Character | \(\chi\) | \(=\) | 546.173 |
Dual form | 546.2.bn.e.101.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0.801045 | − | 1.53568i | 0.462483 | − | 0.886628i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.09866 | − | 0.634311i | −0.491335 | − | 0.283672i | 0.233793 | − | 0.972286i | \(-0.424886\pi\) |
−0.725128 | + | 0.688614i | \(0.758219\pi\) | |||||||
\(6\) | −1.73046 | + | 0.0741172i | −0.706459 | + | 0.0302582i | ||||
\(7\) | −2.21179 | − | 1.45190i | −0.835977 | − | 0.548765i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.71665 | − | 2.46030i | −0.572218 | − | 0.820101i | ||||
\(10\) | 1.26862i | 0.401173i | ||||||||
\(11\) | −5.15033 | −1.55288 | −0.776442 | − | 0.630189i | \(-0.782977\pi\) | ||||
−0.776442 | + | 0.630189i | \(0.782977\pi\) | |||||||
\(12\) | 0.929420 | + | 1.46157i | 0.268300 | + | 0.421918i | ||||
\(13\) | 2.55917 | + | 2.53981i | 0.709786 | + | 0.704418i | ||||
\(14\) | −0.151485 | + | 2.64141i | −0.0404862 | + | 0.705947i | ||||
\(15\) | −1.85418 | + | 1.17908i | −0.478746 | + | 0.304438i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.50144 | + | 4.33262i | −0.606688 | + | 1.05081i | 0.385094 | + | 0.922877i | \(0.374169\pi\) |
−0.991782 | + | 0.127937i | \(0.959164\pi\) | |||||||
\(18\) | −1.27236 | + | 2.71682i | −0.299898 | + | 0.640360i | ||||
\(19\) | 6.60332 | 1.51491 | 0.757453 | − | 0.652890i | \(-0.226444\pi\) | ||||
0.757453 | + | 0.652890i | \(0.226444\pi\) | |||||||
\(20\) | 1.09866 | − | 0.634311i | 0.245668 | − | 0.141836i | ||||
\(21\) | −4.00139 | + | 2.23357i | −0.873176 | + | 0.487406i | ||||
\(22\) | 2.57517 | + | 4.46032i | 0.549027 | + | 0.950943i | ||||
\(23\) | −2.33827 | + | 1.35000i | −0.487564 | + | 0.281495i | −0.723563 | − | 0.690258i | \(-0.757497\pi\) |
0.236000 | + | 0.971753i | \(0.424164\pi\) | |||||||
\(24\) | 0.801045 | − | 1.53568i | 0.163513 | − | 0.313470i | ||||
\(25\) | −1.69530 | − | 2.93635i | −0.339060 | − | 0.587269i | ||||
\(26\) | 0.919959 | − | 3.48621i | 0.180419 | − | 0.683702i | ||||
\(27\) | −5.15337 | + | 0.665427i | −0.991766 | + | 0.128061i | ||||
\(28\) | 2.36327 | − | 1.18952i | 0.446616 | − | 0.224797i | ||||
\(29\) | −0.776779 | − | 0.448474i | −0.144244 | − | 0.0832794i | 0.426141 | − | 0.904657i | \(-0.359873\pi\) |
−0.570385 | + | 0.821377i | \(0.693206\pi\) | |||||||
\(30\) | 1.94820 | + | 1.01622i | 0.355692 | + | 0.185536i | ||||
\(31\) | −4.25869 | − | 7.37627i | −0.764883 | − | 1.32482i | −0.940308 | − | 0.340324i | \(-0.889463\pi\) |
0.175425 | − | 0.984493i | \(-0.443870\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −4.12565 | + | 7.90929i | −0.718183 | + | 1.37683i | ||||
\(34\) | 5.00288 | 0.857987 | ||||||||
\(35\) | 1.50904 | + | 2.99810i | 0.255075 | + | 0.506771i | ||||
\(36\) | 2.98901 | − | 0.256514i | 0.498169 | − | 0.0427524i | ||||
\(37\) | −4.79158 | + | 2.76642i | −0.787731 | + | 0.454797i | −0.839163 | − | 0.543880i | \(-0.816955\pi\) |
0.0514322 | + | 0.998676i | \(0.483621\pi\) | |||||||
\(38\) | −3.30166 | − | 5.71864i | −0.535600 | − | 0.927686i | ||||
\(39\) | 5.95036 | − | 1.89557i | 0.952821 | − | 0.303534i | ||||
\(40\) | −1.09866 | − | 0.634311i | −0.173713 | − | 0.100293i | ||||
\(41\) | −4.54200 | − | 2.62233i | −0.709342 | − | 0.409539i | 0.101476 | − | 0.994838i | \(-0.467644\pi\) |
−0.810817 | + | 0.585299i | \(0.800977\pi\) | |||||||
\(42\) | 3.93503 | + | 2.34852i | 0.607188 | + | 0.362385i | ||||
\(43\) | 1.72068 | + | 2.98031i | 0.262402 | + | 0.454493i | 0.966880 | − | 0.255233i | \(-0.0821521\pi\) |
−0.704478 | + | 0.709726i | \(0.748819\pi\) | |||||||
\(44\) | 2.57517 | − | 4.46032i | 0.388221 | − | 0.672418i | ||||
\(45\) | 0.325420 | + | 3.79193i | 0.0485107 | + | 0.565267i | ||||
\(46\) | 2.33827 | + | 1.35000i | 0.344760 | + | 0.199047i | ||||
\(47\) | −4.18472 | − | 2.41605i | −0.610404 | − | 0.352417i | 0.162719 | − | 0.986672i | \(-0.447973\pi\) |
−0.773124 | + | 0.634255i | \(0.781307\pi\) | |||||||
\(48\) | −1.73046 | + | 0.0741172i | −0.249771 | + | 0.0106979i | ||||
\(49\) | 2.78400 | + | 6.42257i | 0.397714 | + | 0.917509i | ||||
\(50\) | −1.69530 | + | 2.93635i | −0.239752 | + | 0.415262i | ||||
\(51\) | 4.64977 | + | 7.31204i | 0.651098 | + | 1.02389i | ||||
\(52\) | −3.47913 | + | 0.946398i | −0.482468 | + | 0.131242i | ||||
\(53\) | 11.7150 | − | 6.76369i | 1.60919 | − | 0.929064i | 0.619633 | − | 0.784891i | \(-0.287281\pi\) |
0.989553 | − | 0.144172i | \(-0.0460520\pi\) | |||||||
\(54\) | 3.15296 | + | 4.13023i | 0.429064 | + | 0.562054i | ||||
\(55\) | 5.65846 | + | 3.26691i | 0.762986 | + | 0.440510i | ||||
\(56\) | −2.21179 | − | 1.45190i | −0.295562 | − | 0.194018i | ||||
\(57\) | 5.28955 | − | 10.1406i | 0.700618 | − | 1.34316i | ||||
\(58\) | 0.896947i | 0.117775i | ||||||||
\(59\) | −10.2481 | − | 5.91675i | −1.33419 | − | 0.770296i | −0.348252 | − | 0.937401i | \(-0.613225\pi\) |
−0.985939 | + | 0.167105i | \(0.946558\pi\) | |||||||
\(60\) | −0.0940267 | − | 2.19530i | −0.0121388 | − | 0.283413i | ||||
\(61\) | 4.66758i | 0.597622i | 0.954312 | + | 0.298811i | \(0.0965901\pi\) | ||||
−0.954312 | + | 0.298811i | \(0.903410\pi\) | |||||||
\(62\) | −4.25869 | + | 7.37627i | −0.540854 | + | 0.936787i | ||||
\(63\) | 0.224768 | + | 7.93407i | 0.0283181 | + | 0.999599i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −1.20062 | − | 4.41370i | −0.148919 | − | 0.547452i | ||||
\(66\) | 8.91247 | − | 0.381728i | 1.09705 | − | 0.0469875i | ||||
\(67\) | − | 11.5652i | − | 1.41291i | −0.707757 | − | 0.706456i | \(-0.750293\pi\) | ||
0.707757 | − | 0.706456i | \(-0.249707\pi\) | |||||||
\(68\) | −2.50144 | − | 4.33262i | −0.303344 | − | 0.525407i | ||||
\(69\) | 0.200117 | + | 4.67226i | 0.0240912 | + | 0.562474i | ||||
\(70\) | 1.84191 | − | 2.80592i | 0.220150 | − | 0.335372i | ||||
\(71\) | 3.79105 | + | 6.56628i | 0.449914 | + | 0.779274i | 0.998380 | − | 0.0568986i | \(-0.0181212\pi\) |
−0.548466 | + | 0.836173i | \(0.684788\pi\) | |||||||
\(72\) | −1.71665 | − | 2.46030i | −0.202310 | − | 0.289950i | ||||
\(73\) | −0.210796 | − | 0.365109i | −0.0246718 | − | 0.0427328i | 0.853426 | − | 0.521214i | \(-0.174521\pi\) |
−0.878098 | + | 0.478481i | \(0.841187\pi\) | |||||||
\(74\) | 4.79158 | + | 2.76642i | 0.557010 | + | 0.321590i | ||||
\(75\) | −5.86731 | + | 0.251302i | −0.677499 | + | 0.0290178i | ||||
\(76\) | −3.30166 | + | 5.71864i | −0.378726 | + | 0.655973i | ||||
\(77\) | 11.3914 | + | 7.47775i | 1.29817 | + | 0.852168i | ||||
\(78\) | −4.61679 | − | 4.20538i | −0.522749 | − | 0.476165i | ||||
\(79\) | −2.95006 | + | 5.10965i | −0.331908 | + | 0.574881i | −0.982886 | − | 0.184216i | \(-0.941026\pi\) |
0.650978 | + | 0.759096i | \(0.274359\pi\) | |||||||
\(80\) | 1.26862i | 0.141836i | ||||||||
\(81\) | −3.10619 | + | 8.44699i | −0.345133 | + | 0.938554i | ||||
\(82\) | 5.24465i | 0.579175i | ||||||||
\(83\) | − | 9.22131i | − | 1.01217i | −0.862484 | − | 0.506085i | \(-0.831092\pi\) | ||
0.862484 | − | 0.506085i | \(-0.168908\pi\) | |||||||
\(84\) | 0.0663661 | − | 4.58210i | 0.00724113 | − | 0.499948i | ||||
\(85\) | 5.49645 | − | 3.17338i | 0.596174 | − | 0.344201i | ||||
\(86\) | 1.72068 | − | 2.98031i | 0.185546 | − | 0.321375i | ||||
\(87\) | −1.31095 | + | 0.833640i | −0.140548 | + | 0.0893756i | ||||
\(88\) | −5.15033 | −0.549027 | ||||||||
\(89\) | 7.19534 | − | 4.15423i | 0.762705 | − | 0.440348i | −0.0675614 | − | 0.997715i | \(-0.521522\pi\) |
0.830266 | + | 0.557367i | \(0.188189\pi\) | |||||||
\(90\) | 3.12119 | − | 2.17779i | 0.329003 | − | 0.229559i | ||||
\(91\) | −1.97279 | − | 9.33317i | −0.206804 | − | 0.978382i | ||||
\(92\) | − | 2.70000i | − | 0.281495i | ||||||
\(93\) | −14.7390 | + | 0.631285i | −1.52837 | + | 0.0654612i | ||||
\(94\) | 4.83210i | 0.498393i | ||||||||
\(95\) | −7.25479 | − | 4.18856i | −0.744326 | − | 0.429737i | ||||
\(96\) | 0.929420 | + | 1.46157i | 0.0948585 | + | 0.149171i | ||||
\(97\) | −6.21010 | − | 10.7562i | −0.630540 | − | 1.09213i | −0.987441 | − | 0.157985i | \(-0.949500\pi\) |
0.356901 | − | 0.934142i | \(-0.383833\pi\) | |||||||
\(98\) | 4.17011 | − | 5.62230i | 0.421244 | − | 0.567938i | ||||
\(99\) | 8.84134 | + | 12.6714i | 0.888588 | + | 1.27352i | ||||
\(100\) | 3.39060 | 0.339060 | ||||||||
\(101\) | −9.45426 | −0.940734 | −0.470367 | − | 0.882471i | \(-0.655878\pi\) | ||||
−0.470367 | + | 0.882471i | \(0.655878\pi\) | |||||||
\(102\) | 4.00753 | − | 7.68284i | 0.396805 | − | 0.760715i | ||||
\(103\) | −15.4442 | − | 8.91672i | −1.52176 | − | 0.878590i | −0.999670 | − | 0.0257017i | \(-0.991818\pi\) |
−0.522093 | − | 0.852888i | \(-0.674849\pi\) | |||||||
\(104\) | 2.55917 | + | 2.53981i | 0.250947 | + | 0.249049i | ||||
\(105\) | 5.81294 | + | 0.0841934i | 0.567285 | + | 0.00821644i | ||||
\(106\) | −11.7150 | − | 6.76369i | −1.13787 | − | 0.656947i | ||||
\(107\) | 8.42970 | − | 4.86689i | 0.814930 | − | 0.470500i | −0.0337349 | − | 0.999431i | \(-0.510740\pi\) |
0.848665 | + | 0.528931i | \(0.177407\pi\) | |||||||
\(108\) | 2.00041 | − | 4.79566i | 0.192489 | − | 0.461463i | ||||
\(109\) | −9.16977 | + | 5.29417i | −0.878305 | + | 0.507090i | −0.870099 | − | 0.492877i | \(-0.835945\pi\) |
−0.00820581 | + | 0.999966i | \(0.502612\pi\) | |||||||
\(110\) | − | 6.53382i | − | 0.622976i | ||||||
\(111\) | 0.410079 | + | 9.57438i | 0.0389230 | + | 0.908760i | ||||
\(112\) | −0.151485 | + | 2.64141i | −0.0143140 | + | 0.249590i | ||||
\(113\) | 2.68329 | − | 1.54920i | 0.252422 | − | 0.145736i | −0.368451 | − | 0.929647i | \(-0.620112\pi\) |
0.620873 | + | 0.783911i | \(0.286778\pi\) | |||||||
\(114\) | −11.4268 | + | 0.489420i | −1.07022 | + | 0.0458384i | ||||
\(115\) | 3.42528 | 0.319409 | ||||||||
\(116\) | 0.776779 | − | 0.448474i | 0.0721221 | − | 0.0416397i | ||||
\(117\) | 1.85551 | − | 10.6563i | 0.171542 | − | 0.985177i | ||||
\(118\) | 11.8335i | 1.08936i | ||||||||
\(119\) | 11.8232 | − | 5.95100i | 1.08383 | − | 0.545527i | ||||
\(120\) | −1.85418 | + | 1.17908i | −0.169262 | + | 0.107635i | ||||
\(121\) | 15.5259 | 1.41145 | ||||||||
\(122\) | 4.04224 | − | 2.33379i | 0.365967 | − | 0.211291i | ||||
\(123\) | −7.66541 | + | 4.87448i | −0.691167 | + | 0.439517i | ||||
\(124\) | 8.51738 | 0.764883 | ||||||||
\(125\) | 10.6445i | 0.952073i | ||||||||
\(126\) | 6.75872 | − | 4.16169i | 0.602115 | − | 0.370753i | ||||
\(127\) | 5.87399 | − | 10.1740i | 0.521232 | − | 0.902800i | −0.478463 | − | 0.878108i | \(-0.658806\pi\) |
0.999695 | − | 0.0246926i | \(-0.00786069\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 5.95516 | − | 0.255065i | 0.524323 | − | 0.0224572i | ||||
\(130\) | −3.22206 | + | 3.24662i | −0.282594 | + | 0.284747i | ||||
\(131\) | 2.35882 | − | 4.08559i | 0.206091 | − | 0.356960i | −0.744389 | − | 0.667746i | \(-0.767259\pi\) |
0.950480 | + | 0.310787i | \(0.100592\pi\) | |||||||
\(132\) | −4.78682 | − | 7.52756i | −0.416639 | − | 0.655190i | ||||
\(133\) | −14.6051 | − | 9.58733i | −1.26643 | − | 0.831327i | ||||
\(134\) | −10.0157 | + | 5.78259i | −0.865229 | + | 0.499540i | ||||
\(135\) | 6.08388 | + | 2.53776i | 0.523617 | + | 0.218416i | ||||
\(136\) | −2.50144 | + | 4.33262i | −0.214497 | + | 0.371519i | ||||
\(137\) | 4.80934 | − | 8.33002i | 0.410890 | − | 0.711682i | −0.584098 | − | 0.811683i | \(-0.698551\pi\) |
0.994987 | + | 0.100002i | \(0.0318848\pi\) | |||||||
\(138\) | 3.94624 | − | 2.50944i | 0.335926 | − | 0.213617i | ||||
\(139\) | 1.81406 | − | 1.04735i | 0.153867 | − | 0.0888349i | −0.421090 | − | 0.907019i | \(-0.638352\pi\) |
0.574956 | + | 0.818184i | \(0.305019\pi\) | |||||||
\(140\) | −3.35095 | − | 0.192178i | −0.283207 | − | 0.0162420i | ||||
\(141\) | −7.06244 | + | 4.49105i | −0.594765 | + | 0.378215i | ||||
\(142\) | 3.79105 | − | 6.56628i | 0.318137 | − | 0.551030i | ||||
\(143\) | −13.1806 | − | 13.0809i | −1.10221 | − | 1.09388i | ||||
\(144\) | −1.27236 | + | 2.71682i | −0.106030 | + | 0.226402i | ||||
\(145\) | 0.568943 | + | 0.985438i | 0.0472482 | + | 0.0818362i | ||||
\(146\) | −0.210796 | + | 0.365109i | −0.0174456 | + | 0.0302166i | ||||
\(147\) | 12.0931 | + | 0.869421i | 0.997426 | + | 0.0717086i | ||||
\(148\) | − | 5.53284i | − | 0.454797i | ||||||
\(149\) | −7.70630 | −0.631324 | −0.315662 | − | 0.948872i | \(-0.602227\pi\) | ||||
−0.315662 | + | 0.948872i | \(0.602227\pi\) | |||||||
\(150\) | 3.15129 | + | 4.95559i | 0.257302 | + | 0.404622i | ||||
\(151\) | −0.525736 | + | 0.303534i | −0.0427838 | + | 0.0247012i | −0.521239 | − | 0.853411i | \(-0.674530\pi\) |
0.478456 | + | 0.878112i | \(0.341197\pi\) | |||||||
\(152\) | 6.60332 | 0.535600 | ||||||||
\(153\) | 14.9537 | − | 1.28331i | 1.20893 | − | 0.103750i | ||||
\(154\) | 0.780200 | − | 13.6041i | 0.0628703 | − | 1.09625i | ||||
\(155\) | 10.8053i | 0.867905i | ||||||||
\(156\) | −1.33357 | + | 6.10095i | −0.106771 | + | 0.488467i | ||||
\(157\) | 11.5582 | − | 6.67311i | 0.922442 | − | 0.532572i | 0.0380288 | − | 0.999277i | \(-0.487892\pi\) |
0.884413 | + | 0.466704i | \(0.154559\pi\) | |||||||
\(158\) | 5.90012 | 0.469388 | ||||||||
\(159\) | −1.00261 | − | 23.4086i | −0.0795123 | − | 1.85643i | ||||
\(160\) | 1.09866 | − | 0.634311i | 0.0868566 | − | 0.0501467i | ||||
\(161\) | 7.13182 | + | 0.409011i | 0.562066 | + | 0.0322346i | ||||
\(162\) | 8.86840 | − | 1.53345i | 0.696767 | − | 0.120479i | ||||
\(163\) | − | 15.0298i | − | 1.17722i | −0.808416 | − | 0.588612i | \(-0.799675\pi\) | ||
0.808416 | − | 0.588612i | \(-0.200325\pi\) | |||||||
\(164\) | 4.54200 | − | 2.62233i | 0.354671 | − | 0.204769i | ||||
\(165\) | 9.54962 | − | 6.07266i | 0.743437 | − | 0.472756i | ||||
\(166\) | −7.98589 | + | 4.61065i | −0.619825 | + | 0.357856i | ||||
\(167\) | 14.6300 | + | 8.44665i | 1.13211 | + | 0.653622i | 0.944464 | − | 0.328616i | \(-0.106582\pi\) |
0.187642 | + | 0.982237i | \(0.439915\pi\) | |||||||
\(168\) | −4.00139 | + | 2.23357i | −0.308714 | + | 0.172324i | ||||
\(169\) | 0.0986879 | + | 12.9996i | 0.00759138 | + | 0.999971i | ||||
\(170\) | −5.49645 | − | 3.17338i | −0.421559 | − | 0.243387i | ||||
\(171\) | −11.3356 | − | 16.2462i | −0.866856 | − | 1.24238i | ||||
\(172\) | −3.44137 | −0.262402 | ||||||||
\(173\) | −0.512845 | −0.0389909 | −0.0194954 | − | 0.999810i | \(-0.506206\pi\) | ||||
−0.0194954 | + | 0.999810i | \(0.506206\pi\) | |||||||
\(174\) | 1.37743 | + | 0.718495i | 0.104423 | + | 0.0544689i | ||||
\(175\) | −0.513627 | + | 8.95597i | −0.0388265 | + | 0.677007i | ||||
\(176\) | 2.57517 | + | 4.46032i | 0.194110 | + | 0.336209i | ||||
\(177\) | −17.2955 | + | 10.9983i | −1.30001 | + | 0.826682i | ||||
\(178\) | −7.19534 | − | 4.15423i | −0.539314 | − | 0.311373i | ||||
\(179\) | − | 8.01953i | − | 0.599408i | −0.954032 | − | 0.299704i | \(-0.903112\pi\) | ||
0.954032 | − | 0.299704i | \(-0.0968879\pi\) | |||||||
\(180\) | −3.44661 | − | 1.61414i | −0.256895 | − | 0.120311i | ||||
\(181\) | 0.459074i | 0.0341227i | 0.999854 | + | 0.0170614i | \(0.00543106\pi\) | ||||
−0.999854 | + | 0.0170614i | \(0.994569\pi\) | |||||||
\(182\) | −7.09637 | + | 6.37507i | −0.526018 | + | 0.472552i | ||||
\(183\) | 7.16793 | + | 3.73894i | 0.529869 | + | 0.276390i | ||||
\(184\) | −2.33827 | + | 1.35000i | −0.172380 | + | 0.0995235i | ||||
\(185\) | 7.01908 | 0.516053 | ||||||||
\(186\) | 7.91622 | + | 12.4487i | 0.580445 | + | 0.912785i | ||||
\(187\) | 12.8832 | − | 22.3144i | 0.942116 | − | 1.63179i | ||||
\(188\) | 4.18472 | − | 2.41605i | 0.305202 | − | 0.176209i | ||||
\(189\) | 12.3643 | + | 6.01037i | 0.899369 | + | 0.437190i | ||||
\(190\) | 8.37711i | 0.607740i | ||||||||
\(191\) | 10.0962i | 0.730532i | 0.930903 | + | 0.365266i | \(0.119022\pi\) | ||||
−0.930903 | + | 0.365266i | \(0.880978\pi\) | |||||||
\(192\) | 0.801045 | − | 1.53568i | 0.0578104 | − | 0.110828i | ||||
\(193\) | 8.28022i | 0.596023i | 0.954562 | + | 0.298011i | \(0.0963234\pi\) | ||||
−0.954562 | + | 0.298011i | \(0.903677\pi\) | |||||||
\(194\) | −6.21010 | + | 10.7562i | −0.445859 | + | 0.772251i | ||||
\(195\) | −7.73980 | − | 1.69179i | −0.554258 | − | 0.121152i | ||||
\(196\) | −6.95410 | − | 0.800271i | −0.496722 | − | 0.0571622i | ||||
\(197\) | −7.07350 | + | 12.2517i | −0.503966 | + | 0.872895i | 0.496023 | + | 0.868309i | \(0.334793\pi\) |
−0.999989 | + | 0.00458596i | \(0.998540\pi\) | |||||||
\(198\) | 6.55307 | − | 13.9925i | 0.465706 | − | 0.994405i | ||||
\(199\) | 13.2715 | + | 7.66228i | 0.940788 | + | 0.543164i | 0.890207 | − | 0.455556i | \(-0.150559\pi\) |
0.0505810 | + | 0.998720i | \(0.483893\pi\) | |||||||
\(200\) | −1.69530 | − | 2.93635i | −0.119876 | − | 0.207631i | ||||
\(201\) | −17.7605 | − | 9.26423i | −1.25273 | − | 0.653449i | ||||
\(202\) | 4.72713 | + | 8.18763i | 0.332600 | + | 0.576079i | ||||
\(203\) | 1.06693 | + | 2.11973i | 0.0748840 | + | 0.148776i | ||||
\(204\) | −8.65730 | + | 0.370800i | −0.606132 | + | 0.0259612i | ||||
\(205\) | 3.32674 | + | 5.76208i | 0.232350 | + | 0.402441i | ||||
\(206\) | 17.8334i | 1.24251i | ||||||||
\(207\) | 7.33542 | + | 3.43537i | 0.509847 | + | 0.238775i | ||||
\(208\) | 0.919959 | − | 3.48621i | 0.0637877 | − | 0.241725i | ||||
\(209\) | −34.0093 | −2.35247 | ||||||||
\(210\) | −2.83356 | − | 5.07625i | −0.195534 | − | 0.350295i | ||||
\(211\) | 4.63016 | − | 8.01968i | 0.318754 | − | 0.552097i | −0.661475 | − | 0.749967i | \(-0.730069\pi\) |
0.980228 | + | 0.197870i | \(0.0634025\pi\) | |||||||
\(212\) | 13.5274i | 0.929064i | ||||||||
\(213\) | 13.1205 | − | 0.561964i | 0.899004 | − | 0.0385051i | ||||
\(214\) | −8.42970 | − | 4.86689i | −0.576243 | − | 0.332694i | ||||
\(215\) | − | 4.36579i | − | 0.297745i | ||||||
\(216\) | −5.15337 | + | 0.665427i | −0.350642 | + | 0.0452765i | ||||
\(217\) | −1.29026 | + | 22.4979i | −0.0875885 | + | 1.52726i | ||||
\(218\) | 9.16977 | + | 5.29417i | 0.621055 | + | 0.358567i | ||||
\(219\) | −0.729549 | + | 0.0312472i | −0.0492984 | + | 0.00211149i | ||||
\(220\) | −5.65846 | + | 3.26691i | −0.381493 | + | 0.220255i | ||||
\(221\) | −17.4057 | + | 4.73471i | −1.17083 | + | 0.318491i | ||||
\(222\) | 8.08662 | − | 5.14233i | 0.542738 | − | 0.345131i | ||||
\(223\) | −6.58695 | + | 11.4089i | −0.441095 | + | 0.763998i | −0.997771 | − | 0.0667312i | \(-0.978743\pi\) |
0.556676 | + | 0.830729i | \(0.312076\pi\) | |||||||
\(224\) | 2.36327 | − | 1.18952i | 0.157903 | − | 0.0794778i | ||||
\(225\) | −4.31406 | + | 9.21164i | −0.287604 | + | 0.614110i | ||||
\(226\) | −2.68329 | − | 1.54920i | −0.178490 | − | 0.103051i | ||||
\(227\) | −2.05308 | − | 1.18535i | −0.136268 | − | 0.0786742i | 0.430316 | − | 0.902678i | \(-0.358402\pi\) |
−0.566584 | + | 0.824004i | \(0.691735\pi\) | |||||||
\(228\) | 6.13725 | + | 9.65119i | 0.406450 | + | 0.639166i | ||||
\(229\) | −5.91454 | + | 10.2443i | −0.390844 | + | 0.676961i | −0.992561 | − | 0.121748i | \(-0.961150\pi\) |
0.601717 | + | 0.798709i | \(0.294483\pi\) | |||||||
\(230\) | −1.71264 | − | 2.96638i | −0.112928 | − | 0.195598i | ||||
\(231\) | 20.6085 | − | 11.5036i | 1.35594 | − | 0.756884i | ||||
\(232\) | −0.776779 | − | 0.448474i | −0.0509980 | − | 0.0294437i | ||||
\(233\) | −6.84440 | − | 3.95162i | −0.448392 | − | 0.258879i | 0.258759 | − | 0.965942i | \(-0.416686\pi\) |
−0.707151 | + | 0.707063i | \(0.750020\pi\) | |||||||
\(234\) | −10.1564 | + | 3.72124i | −0.663944 | + | 0.243265i | ||||
\(235\) | 3.06505 | + | 5.30883i | 0.199942 | + | 0.346310i | ||||
\(236\) | 10.2481 | − | 5.91675i | 0.667096 | − | 0.385148i | ||||
\(237\) | 5.48369 | + | 8.62342i | 0.356204 | + | 0.560151i | ||||
\(238\) | −11.0653 | − | 7.26366i | −0.717257 | − | 0.470833i | ||||
\(239\) | 27.3019 | 1.76601 | 0.883007 | − | 0.469360i | \(-0.155515\pi\) | ||||
0.883007 | + | 0.469360i | \(0.155515\pi\) | |||||||
\(240\) | 1.94820 | + | 1.01622i | 0.125756 | + | 0.0655969i | ||||
\(241\) | −5.64076 | + | 9.77009i | −0.363353 | + | 0.629347i | −0.988510 | − | 0.151152i | \(-0.951702\pi\) |
0.625157 | + | 0.780499i | \(0.285035\pi\) | |||||||
\(242\) | −7.76296 | − | 13.4458i | −0.499022 | − | 0.864332i | ||||
\(243\) | 10.4837 | + | 11.5365i | 0.672530 | + | 0.740070i | ||||
\(244\) | −4.04224 | − | 2.33379i | −0.258778 | − | 0.149406i | ||||
\(245\) | 1.01524 | − | 8.82213i | 0.0648613 | − | 0.563625i | ||||
\(246\) | 8.05413 | + | 4.20120i | 0.513513 | + | 0.267859i | ||||
\(247\) | 16.8990 | + | 16.7712i | 1.07526 | + | 1.06713i | ||||
\(248\) | −4.25869 | − | 7.37627i | −0.270427 | − | 0.468393i | ||||
\(249\) | −14.1610 | − | 7.38668i | −0.897418 | − | 0.468112i | ||||
\(250\) | 9.21840 | − | 5.32225i | 0.583023 | − | 0.336608i | ||||
\(251\) | −11.3067 | − | 19.5838i | −0.713675 | − | 1.23612i | −0.963469 | − | 0.267822i | \(-0.913696\pi\) |
0.249794 | − | 0.968299i | \(-0.419637\pi\) | |||||||
\(252\) | −6.98349 | − | 3.77238i | −0.439919 | − | 0.237638i | ||||
\(253\) | 12.0429 | − | 6.95296i | 0.757130 | − | 0.437129i | ||||
\(254\) | −11.7480 | −0.737133 | ||||||||
\(255\) | −0.470404 | − | 10.9828i | −0.0294579 | − | 0.687772i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −0.682789 | − | 1.18262i | −0.0425912 | − | 0.0737701i | 0.843944 | − | 0.536431i | \(-0.180228\pi\) |
−0.886535 | + | 0.462661i | \(0.846895\pi\) | |||||||
\(258\) | −3.19847 | − | 5.02979i | −0.199128 | − | 0.313141i | ||||
\(259\) | 14.6145 | + | 0.838145i | 0.908101 | + | 0.0520798i | ||||
\(260\) | 4.42268 | + | 1.16708i | 0.274283 | + | 0.0723792i | ||||
\(261\) | 0.230080 | + | 2.68099i | 0.0142416 | + | 0.165949i | ||||
\(262\) | −4.71763 | −0.291456 | ||||||||
\(263\) | − | 10.8112i | − | 0.666646i | −0.942813 | − | 0.333323i | \(-0.891830\pi\) | ||
0.942813 | − | 0.333323i | \(-0.108170\pi\) | |||||||
\(264\) | −4.12565 | + | 7.90929i | −0.253916 | + | 0.486783i | ||||
\(265\) | −17.1611 | −1.05420 | ||||||||
\(266\) | −1.00031 | + | 17.4421i | −0.0613327 | + | 1.06944i | ||||
\(267\) | −0.615800 | − | 14.3775i | −0.0376864 | − | 0.879889i | ||||
\(268\) | 10.0157 | + | 5.78259i | 0.611809 | + | 0.353228i | ||||
\(269\) | −11.4767 | + | 19.8782i | −0.699747 | + | 1.21200i | 0.268807 | + | 0.963194i | \(0.413371\pi\) |
−0.968554 | + | 0.248803i | \(0.919963\pi\) | |||||||
\(270\) | −0.844174 | − | 6.53767i | −0.0513748 | − | 0.397870i | ||||
\(271\) | −7.79637 | − | 13.5037i | −0.473596 | − | 0.820292i | 0.525947 | − | 0.850517i | \(-0.323711\pi\) |
−0.999543 | + | 0.0302249i | \(0.990378\pi\) | |||||||
\(272\) | 5.00288 | 0.303344 | ||||||||
\(273\) | −15.9131 | − | 4.44671i | −0.963105 | − | 0.269127i | ||||
\(274\) | −9.61868 | −0.581086 | ||||||||
\(275\) | 8.73136 | + | 15.1232i | 0.526521 | + | 0.911961i | ||||
\(276\) | −4.14636 | − | 2.16282i | −0.249581 | − | 0.130187i | ||||
\(277\) | −11.1655 | + | 19.3391i | −0.670867 | + | 1.16198i | 0.306791 | + | 0.951777i | \(0.400745\pi\) |
−0.977658 | + | 0.210200i | \(0.932589\pi\) | |||||||
\(278\) | −1.81406 | − | 1.04735i | −0.108800 | − | 0.0628158i | ||||
\(279\) | −10.8372 | + | 23.1402i | −0.648804 | + | 1.38537i | ||||
\(280\) | 1.50904 | + | 2.99810i | 0.0901827 | + | 0.179171i | ||||
\(281\) | 21.7986 | 1.30040 | 0.650199 | − | 0.759764i | \(-0.274686\pi\) | ||||
0.650199 | + | 0.759764i | \(0.274686\pi\) | |||||||
\(282\) | 7.42058 | + | 3.87073i | 0.441889 | + | 0.230499i | ||||
\(283\) | − | 4.49961i | − | 0.267474i | −0.991017 | − | 0.133737i | \(-0.957302\pi\) | ||
0.991017 | − | 0.133737i | \(-0.0426978\pi\) | |||||||
\(284\) | −7.58209 | −0.449914 | ||||||||
\(285\) | −12.2437 | + | 7.78585i | −0.725255 | + | 0.461194i | ||||
\(286\) | −4.73810 | + | 17.9552i | −0.280170 | + | 1.06171i | ||||
\(287\) | 6.23859 | + | 12.3945i | 0.368253 | + | 0.731627i | ||||
\(288\) | 2.98901 | − | 0.256514i | 0.176129 | − | 0.0151153i | ||||
\(289\) | −4.01440 | − | 6.95314i | −0.236141 | − | 0.409008i | ||||
\(290\) | 0.568943 | − | 0.985438i | 0.0334095 | − | 0.0578669i | ||||
\(291\) | −21.4927 | + | 0.920551i | −1.25992 | + | 0.0539636i | ||||
\(292\) | 0.421592 | 0.0246718 | ||||||||
\(293\) | −11.6501 | + | 6.72621i | −0.680608 | + | 0.392949i | −0.800084 | − | 0.599888i | \(-0.795212\pi\) |
0.119476 | + | 0.992837i | \(0.461879\pi\) | |||||||
\(294\) | −5.29363 | − | 10.9077i | −0.308731 | − | 0.636149i | ||||
\(295\) | 7.50612 | + | 13.0010i | 0.437023 | + | 0.756946i | ||||
\(296\) | −4.79158 | + | 2.76642i | −0.278505 | + | 0.160795i | ||||
\(297\) | 26.5416 | − | 3.42717i | 1.54010 | − | 0.198864i | ||||
\(298\) | 3.85315 | + | 6.67385i | 0.223207 | + | 0.386606i | ||||
\(299\) | −9.41279 | − | 2.48389i | −0.544356 | − | 0.143647i | ||||
\(300\) | 2.71602 | − | 5.20689i | 0.156810 | − | 0.300620i | ||||
\(301\) | 0.521317 | − | 9.09006i | 0.0300482 | − | 0.523943i | ||||
\(302\) | 0.525736 | + | 0.303534i | 0.0302527 | + | 0.0174664i | ||||
\(303\) | −7.57328 | + | 14.5188i | −0.435074 | + | 0.834081i | ||||
\(304\) | −3.30166 | − | 5.71864i | −0.189363 | − | 0.327987i | ||||
\(305\) | 2.96070 | − | 5.12808i | 0.169529 | − | 0.293633i | ||||
\(306\) | −8.58821 | − | 12.3086i | −0.490956 | − | 0.703636i | ||||
\(307\) | −15.8067 | −0.902135 | −0.451068 | − | 0.892490i | \(-0.648957\pi\) | ||||
−0.451068 | + | 0.892490i | \(0.648957\pi\) | |||||||
\(308\) | −12.1716 | + | 6.12640i | −0.693543 | + | 0.349084i | ||||
\(309\) | −26.0648 | + | 16.5747i | −1.48277 | + | 0.942904i | ||||
\(310\) | 9.35769 | − | 5.40267i | 0.531481 | − | 0.306851i | ||||
\(311\) | 13.1198 | + | 22.7241i | 0.743954 | + | 1.28857i | 0.950682 | + | 0.310168i | \(0.100385\pi\) |
−0.206727 | + | 0.978399i | \(0.566281\pi\) | |||||||
\(312\) | 5.95036 | − | 1.89557i | 0.336873 | − | 0.107316i | ||||
\(313\) | −14.2929 | − | 8.25201i | −0.807883 | − | 0.466431i | 0.0383374 | − | 0.999265i | \(-0.487794\pi\) |
−0.846220 | + | 0.532834i | \(0.821127\pi\) | |||||||
\(314\) | −11.5582 | − | 6.67311i | −0.652265 | − | 0.376585i | ||||
\(315\) | 4.78572 | − | 8.85941i | 0.269645 | − | 0.499171i | ||||
\(316\) | −2.95006 | − | 5.10965i | −0.165954 | − | 0.287440i | ||||
\(317\) | 14.8285 | − | 25.6838i | 0.832854 | − | 1.44255i | −0.0629121 | − | 0.998019i | \(-0.520039\pi\) |
0.895766 | − | 0.444526i | \(-0.146628\pi\) | |||||||
\(318\) | −19.7712 | + | 12.5726i | −1.10871 | + | 0.705037i | ||||
\(319\) | 4.00067 | + | 2.30979i | 0.223994 | + | 0.129323i | ||||
\(320\) | −1.09866 | − | 0.634311i | −0.0614169 | − | 0.0354590i | ||||
\(321\) | −0.721441 | − | 16.8440i | −0.0402669 | − | 0.940138i | ||||
\(322\) | −3.21170 | − | 6.38085i | −0.178981 | − | 0.355591i | ||||
\(323\) | −16.5178 | + | 28.6097i | −0.919075 | + | 1.59188i | ||||
\(324\) | −5.76221 | − | 6.91354i | −0.320123 | − | 0.384085i | ||||
\(325\) | 3.11921 | − | 11.8203i | 0.173023 | − | 0.655675i | ||||
\(326\) | −13.0162 | + | 7.51490i | −0.720900 | + | 0.416212i | ||||
\(327\) | 0.784779 | + | 18.3227i | 0.0433984 | + | 1.01325i | ||||
\(328\) | −4.54200 | − | 2.62233i | −0.250790 | − | 0.144794i | ||||
\(329\) | 5.74786 | + | 11.4196i | 0.316890 | + | 0.629581i | ||||
\(330\) | −10.0339 | − | 5.23388i | −0.552348 | − | 0.288116i | ||||
\(331\) | 31.5767i | 1.73561i | 0.496904 | + | 0.867806i | \(0.334470\pi\) | ||||
−0.496904 | + | 0.867806i | \(0.665530\pi\) | |||||||
\(332\) | 7.98589 | + | 4.61065i | 0.438283 | + | 0.253043i | ||||
\(333\) | 15.0317 | + | 7.03976i | 0.823733 | + | 0.385776i | ||||
\(334\) | − | 16.8933i | − | 0.924361i | ||||||
\(335\) | −7.33592 | + | 12.7062i | −0.400804 | + | 0.694214i | ||||
\(336\) | 3.93503 | + | 2.34852i | 0.214673 | + | 0.128122i | ||||
\(337\) | 18.8701 | 1.02792 | 0.513961 | − | 0.857814i | \(-0.328178\pi\) | ||||
0.513961 | + | 0.857814i | \(0.328178\pi\) | |||||||
\(338\) | 11.2087 | − | 6.58528i | 0.609671 | − | 0.358192i | ||||
\(339\) | −0.229644 | − | 5.36166i | −0.0124726 | − | 0.291205i | ||||
\(340\) | 6.34676i | 0.344201i | ||||||||
\(341\) | 21.9337 | + | 37.9902i | 1.18777 | + | 2.05729i | ||||
\(342\) | −8.40179 | + | 17.9400i | −0.454317 | + | 0.970085i | ||||
\(343\) | 3.16729 | − | 18.2474i | 0.171018 | − | 0.985268i | ||||
\(344\) | 1.72068 | + | 2.98031i | 0.0927730 | + | 0.160688i | ||||
\(345\) | 2.74381 | − | 5.26016i | 0.147722 | − | 0.283197i | ||||
\(346\) | 0.256422 | + | 0.444137i | 0.0137854 | + | 0.0238769i | ||||
\(347\) | 5.05923 | + | 2.92095i | 0.271594 | + | 0.156805i | 0.629612 | − | 0.776910i | \(-0.283214\pi\) |
−0.358018 | + | 0.933715i | \(0.616547\pi\) | |||||||
\(348\) | −0.0664792 | − | 1.55213i | −0.00356366 | − | 0.0832032i | ||||
\(349\) | 4.14640 | − | 7.18177i | 0.221952 | − | 0.384431i | −0.733449 | − | 0.679745i | \(-0.762091\pi\) |
0.955400 | + | 0.295313i | \(0.0954240\pi\) | |||||||
\(350\) | 8.01291 | − | 4.03317i | 0.428308 | − | 0.215582i | ||||
\(351\) | −14.8784 | − | 11.3857i | −0.794150 | − | 0.607722i | ||||
\(352\) | 2.57517 | − | 4.46032i | 0.137257 | − | 0.237736i | ||||
\(353\) | − | 21.8468i | − | 1.16279i | −0.813623 | − | 0.581393i | \(-0.802508\pi\) | ||
0.813623 | − | 0.581393i | \(-0.197492\pi\) | |||||||
\(354\) | 18.1725 | + | 9.47917i | 0.965859 | + | 0.503812i | ||||
\(355\) | − | 9.61880i | − | 0.510513i | ||||||
\(356\) | 8.30846i | 0.440348i | ||||||||
\(357\) | 0.332021 | − | 22.9237i | 0.0175724 | − | 1.21325i | ||||
\(358\) | −6.94512 | + | 4.00977i | −0.367061 | + | 0.211923i | ||||
\(359\) | 10.1960 | − | 17.6599i | 0.538122 | − | 0.932055i | −0.460883 | − | 0.887461i | \(-0.652467\pi\) |
0.999005 | − | 0.0445941i | \(-0.0141995\pi\) | |||||||
\(360\) | 0.325420 | + | 3.79193i | 0.0171511 | + | 0.199852i | ||||
\(361\) | 24.6038 | 1.29494 | ||||||||
\(362\) | 0.397570 | − | 0.229537i | 0.0208958 | − | 0.0120642i | ||||
\(363\) | 12.4370 | − | 23.8429i | 0.652771 | − | 1.25143i | ||||
\(364\) | 9.06916 | + | 2.95810i | 0.475353 | + | 0.155047i | ||||
\(365\) | 0.534840i | 0.0279948i | ||||||||
\(366\) | −0.345948 | − | 8.07708i | −0.0180830 | − | 0.422196i | ||||
\(367\) | 16.3802i | 0.855040i | 0.904006 | + | 0.427520i | \(0.140613\pi\) | ||||
−0.904006 | + | 0.427520i | \(0.859387\pi\) | |||||||
\(368\) | 2.33827 | + | 1.35000i | 0.121891 | + | 0.0703737i | ||||
\(369\) | 1.34533 | + | 15.6763i | 0.0700351 | + | 0.816078i | ||||
\(370\) | −3.50954 | − | 6.07870i | −0.182452 | − | 0.316017i | ||||
\(371\) | −35.7314 | − | 2.04920i | −1.85508 | − | 0.106389i | ||||
\(372\) | 6.82280 | − | 13.0800i | 0.353746 | − | 0.678167i | ||||
\(373\) | −14.1392 | −0.732102 | −0.366051 | − | 0.930595i | \(-0.619290\pi\) | ||||
−0.366051 | + | 0.930595i | \(0.619290\pi\) | |||||||
\(374\) | −25.7665 | −1.33235 | ||||||||
\(375\) | 16.3466 | + | 8.52672i | 0.844134 | + | 0.440318i | ||||
\(376\) | −4.18472 | − | 2.41605i | −0.215811 | − | 0.124598i | ||||
\(377\) | −0.848869 | − | 3.12059i | −0.0437190 | − | 0.160719i | ||||
\(378\) | −0.977005 | − | 13.7130i | −0.0502517 | − | 0.705319i | ||||
\(379\) | 9.57195 | + | 5.52637i | 0.491678 | + | 0.283871i | 0.725270 | − | 0.688464i | \(-0.241715\pi\) |
−0.233592 | + | 0.972335i | \(0.575048\pi\) | |||||||
\(380\) | 7.25479 | − | 4.18856i | 0.372163 | − | 0.214868i | ||||
\(381\) | −10.9188 | − | 17.1705i | −0.559387 | − | 0.879669i | ||||
\(382\) | 8.74352 | − | 5.04808i | 0.447358 | − | 0.258282i | ||||
\(383\) | − | 0.956273i | − | 0.0488633i | −0.999702 | − | 0.0244316i | \(-0.992222\pi\) | ||
0.999702 | − | 0.0244316i | \(-0.00777760\pi\) | |||||||
\(384\) | −1.73046 | + | 0.0741172i | −0.0883074 | + | 0.00378228i | ||||
\(385\) | −7.77208 | − | 15.4412i | −0.396102 | − | 0.786956i | ||||
\(386\) | 7.17088 | − | 4.14011i | 0.364988 | − | 0.210726i | ||||
\(387\) | 4.37865 | − | 9.34957i | 0.222579 | − | 0.475265i | ||||
\(388\) | 12.4202 | 0.630540 | ||||||||
\(389\) | 2.35900 | − | 1.36197i | 0.119606 | − | 0.0690546i | −0.439003 | − | 0.898485i | \(-0.644668\pi\) |
0.558609 | + | 0.829431i | \(0.311335\pi\) | |||||||
\(390\) | 2.40476 | + | 7.54876i | 0.121770 | + | 0.382246i | ||||
\(391\) | − | 13.5078i | − | 0.683119i | ||||||
\(392\) | 2.78400 | + | 6.42257i | 0.140613 | + | 0.324389i | ||||
\(393\) | −4.38466 | − | 6.89514i | −0.221177 | − | 0.347814i | ||||
\(394\) | 14.1470 | 0.712716 | ||||||||
\(395\) | 6.48222 | − | 3.74251i | 0.326156 | − | 0.188306i | ||||
\(396\) | −15.3944 | + | 1.32113i | −0.773598 | + | 0.0663895i | ||||
\(397\) | −24.2523 | −1.21719 | −0.608593 | − | 0.793482i | \(-0.708266\pi\) | ||||
−0.608593 | + | 0.793482i | \(0.708266\pi\) | |||||||
\(398\) | − | 15.3246i | − | 0.768150i | ||||||
\(399\) | −26.4225 | + | 14.7490i | −1.32278 | + | 0.738373i | ||||
\(400\) | −1.69530 | + | 2.93635i | −0.0847650 | + | 0.146817i | ||||
\(401\) | 16.4158 | + | 28.4331i | 0.819768 | + | 1.41988i | 0.905853 | + | 0.423592i | \(0.139231\pi\) |
−0.0860853 | + | 0.996288i | \(0.527436\pi\) | |||||||
\(402\) | 0.857180 | + | 20.0131i | 0.0427523 | + | 0.998165i | ||||
\(403\) | 7.83564 | − | 29.6934i | 0.390321 | − | 1.47913i | ||||
\(404\) | 4.72713 | − | 8.18763i | 0.235183 | − | 0.407350i | ||||
\(405\) | 8.77066 | − | 7.31006i | 0.435818 | − | 0.363240i | ||||
\(406\) | 1.30227 | − | 1.98386i | 0.0646308 | − | 0.0984571i | ||||
\(407\) | 24.6782 | − | 14.2480i | 1.22325 | − | 0.706246i | ||||
\(408\) | 4.64977 | + | 7.31204i | 0.230198 | + | 0.362000i | ||||
\(409\) | −9.97381 | + | 17.2752i | −0.493173 | + | 0.854201i | −0.999969 | − | 0.00786485i | \(-0.997497\pi\) |
0.506796 | + | 0.862066i | \(0.330830\pi\) | |||||||
\(410\) | 3.32674 | − | 5.76208i | 0.164296 | − | 0.284569i | ||||
\(411\) | −8.93979 | − | 14.0583i | −0.440967 | − | 0.693447i | ||||
\(412\) | 15.4442 | − | 8.91672i | 0.760881 | − | 0.439295i | ||||
\(413\) | 14.0761 | + | 27.9658i | 0.692641 | + | 1.37611i | ||||
\(414\) | −0.692590 | − | 8.07035i | −0.0340390 | − | 0.396636i | ||||
\(415\) | −5.84918 | + | 10.1311i | −0.287125 | + | 0.497315i | ||||
\(416\) | −3.47913 | + | 0.946398i | −0.170578 | + | 0.0464010i | ||||
\(417\) | −0.155253 | − | 3.62480i | −0.00760278 | − | 0.177507i | ||||
\(418\) | 17.0046 | + | 29.4529i | 0.831724 | + | 1.44059i | ||||
\(419\) | −2.15496 | + | 3.73250i | −0.105277 | + | 0.182345i | −0.913851 | − | 0.406049i | \(-0.866906\pi\) |
0.808574 | + | 0.588394i | \(0.200240\pi\) | |||||||
\(420\) | −2.97939 | + | 4.99206i | −0.145379 | + | 0.243588i | ||||
\(421\) | 9.35440i | 0.455905i | 0.973672 | + | 0.227953i | \(0.0732032\pi\) | ||||
−0.973672 | + | 0.227953i | \(0.926797\pi\) | |||||||
\(422\) | −9.26032 | −0.450786 | ||||||||
\(423\) | 1.23950 | + | 14.4432i | 0.0602667 | + | 0.702253i | ||||
\(424\) | 11.7150 | − | 6.76369i | 0.568933 | − | 0.328474i | ||||
\(425\) | 16.9628 | 0.822815 | ||||||||
\(426\) | −7.04694 | − | 11.0817i | −0.341426 | − | 0.536912i | ||||
\(427\) | 6.77684 | − | 10.3237i | 0.327954 | − | 0.499598i | ||||
\(428\) | 9.73378i | 0.470500i | ||||||||
\(429\) | −30.6463 | + | 9.76282i | −1.47962 | + | 0.471353i | ||||
\(430\) | −3.78089 | + | 2.18290i | −0.182331 | + | 0.105269i | ||||
\(431\) | −0.867937 | −0.0418070 | −0.0209035 | − | 0.999781i | \(-0.506654\pi\) | ||||
−0.0209035 | + | 0.999781i | \(0.506654\pi\) | |||||||
\(432\) | 3.15296 | + | 4.13023i | 0.151697 | + | 0.198716i | ||||
\(433\) | 20.7610 | − | 11.9864i | 0.997710 | − | 0.576028i | 0.0901401 | − | 0.995929i | \(-0.471269\pi\) |
0.907570 | + | 0.419901i | \(0.137935\pi\) | |||||||
\(434\) | 20.1289 | − | 10.1316i | 0.966217 | − | 0.486330i | ||||
\(435\) | 1.96907 | − | 0.0843370i | 0.0944098 | − | 0.00404365i | ||||
\(436\) | − | 10.5883i | − | 0.507090i | ||||||
\(437\) | −15.4404 | + | 8.91450i | −0.738613 | + | 0.426438i | ||||
\(438\) | 0.391836 | + | 0.616185i | 0.0187226 | + | 0.0294424i | ||||
\(439\) | 15.7085 | − | 9.06933i | 0.749727 | − | 0.432855i | −0.0758680 | − | 0.997118i | \(-0.524173\pi\) |
0.825595 | + | 0.564263i | \(0.190839\pi\) | |||||||
\(440\) | 5.65846 | + | 3.26691i | 0.269756 | + | 0.155744i | ||||
\(441\) | 11.0223 | − | 17.8748i | 0.524872 | − | 0.851181i | ||||
\(442\) | 12.8032 | + | 12.7064i | 0.608987 | + | 0.604381i | ||||
\(443\) | −25.1388 | − | 14.5139i | −1.19438 | − | 0.689575i | −0.235082 | − | 0.971975i | \(-0.575536\pi\) |
−0.959297 | + | 0.282401i | \(0.908869\pi\) | |||||||
\(444\) | −8.49670 | − | 4.43205i | −0.403235 | − | 0.210336i | ||||
\(445\) | −10.5403 | −0.499658 | ||||||||
\(446\) | 13.1739 | 0.623802 | ||||||||
\(447\) | −6.17309 | + | 11.8344i | −0.291977 | + | 0.559750i | ||||
\(448\) | −2.21179 | − | 1.45190i | −0.104497 | − | 0.0685956i | ||||
\(449\) | 1.47303 | + | 2.55136i | 0.0695165 | + | 0.120406i | 0.898689 | − | 0.438587i | \(-0.144521\pi\) |
−0.829172 | + | 0.558993i | \(0.811188\pi\) | |||||||
\(450\) | 10.1345 | − | 0.869738i | 0.477747 | − | 0.0409998i | ||||
\(451\) | 23.3928 | + | 13.5059i | 1.10153 | + | 0.635966i | ||||
\(452\) | 3.09839i | 0.145736i | ||||||||
\(453\) | 0.0449942 | + | 1.05051i | 0.00211401 | + | 0.0493572i | ||||
\(454\) | 2.37069i | 0.111262i | ||||||||
\(455\) | −3.75271 | + | 11.5053i | −0.175930 | + | 0.539378i | ||||
\(456\) | 5.28955 | − | 10.1406i | 0.247706 | − | 0.474878i | ||||
\(457\) | 16.7927 | − | 9.69524i | 0.785527 | − | 0.453524i | −0.0528584 | − | 0.998602i | \(-0.516833\pi\) |
0.838386 | + | 0.545078i | \(0.183500\pi\) | |||||||
\(458\) | 11.8291 | 0.552736 | ||||||||
\(459\) | 10.0078 | − | 23.9921i | 0.467124 | − | 1.11986i | ||||
\(460\) | −1.71264 | + | 2.96638i | −0.0798523 | + | 0.138308i | ||||
\(461\) | 18.5093 | − | 10.6864i | 0.862066 | − | 0.497714i | −0.00263775 | − | 0.999997i | \(-0.500840\pi\) |
0.864704 | + | 0.502283i | \(0.167506\pi\) | |||||||
\(462\) | −20.2667 | − | 12.0957i | −0.942892 | − | 0.562742i | ||||
\(463\) | − | 7.17045i | − | 0.333239i | −0.986021 | − | 0.166620i | \(-0.946715\pi\) | ||
0.986021 | − | 0.166620i | \(-0.0532852\pi\) | |||||||
\(464\) | 0.896947i | 0.0416397i | ||||||||
\(465\) | 16.5936 | + | 8.65555i | 0.769509 | + | 0.401392i | ||||
\(466\) | 7.90323i | 0.366110i | ||||||||
\(467\) | −4.50077 | + | 7.79557i | −0.208271 | + | 0.360736i | −0.951170 | − | 0.308668i | \(-0.900117\pi\) |
0.742899 | + | 0.669404i | \(0.233450\pi\) | |||||||
\(468\) | 8.30089 | + | 6.93507i | 0.383709 | + | 0.320574i | ||||
\(469\) | −16.7915 | + | 25.5797i | −0.775357 | + | 1.18116i | ||||
\(470\) | 3.06505 | − | 5.30883i | 0.141380 | − | 0.244878i | ||||
\(471\) | −0.989185 | − | 23.0952i | −0.0455792 | − | 1.06417i | ||||
\(472\) | −10.2481 | − | 5.91675i | −0.471708 | − | 0.272341i | ||||
\(473\) | −8.86209 | − | 15.3496i | −0.407479 | − | 0.705775i | ||||
\(474\) | 4.72626 | − | 9.06072i | 0.217084 | − | 0.416173i | ||||
\(475\) | −11.1946 | − | 19.3896i | −0.513644 | − | 0.889657i | ||||
\(476\) | −0.757863 | + | 13.2147i | −0.0347366 | + | 0.605693i | ||||
\(477\) | −36.7514 | − | 17.2117i | −1.68273 | − | 0.788068i | ||||
\(478\) | −13.6510 | − | 23.6441i | −0.624380 | − | 1.08146i | ||||
\(479\) | − | 4.04149i | − | 0.184661i | −0.995728 | − | 0.0923303i | \(-0.970568\pi\) | ||
0.995728 | − | 0.0923303i | \(-0.0294316\pi\) | |||||||
\(480\) | −0.0940267 | − | 2.19530i | −0.00429171 | − | 0.100201i | ||||
\(481\) | −19.2887 | − | 5.08999i | −0.879487 | − | 0.232083i | ||||
\(482\) | 11.2815 | 0.513859 | ||||||||
\(483\) | 6.34102 | − | 10.6246i | 0.288526 | − | 0.483436i | ||||
\(484\) | −7.76296 | + | 13.4458i | −0.352862 | + | 0.611175i | ||||
\(485\) | 15.7565i | 0.715467i | ||||||||
\(486\) | 4.74909 | − | 14.8474i | 0.215423 | − | 0.673493i | ||||
\(487\) | 11.8663 | + | 6.85100i | 0.537713 | + | 0.310449i | 0.744151 | − | 0.668011i | \(-0.232854\pi\) |
−0.206439 | + | 0.978460i | \(0.566187\pi\) | |||||||
\(488\) | 4.66758i | 0.211291i | ||||||||
\(489\) | −23.0810 | − | 12.0395i | −1.04376 | − | 0.544447i | ||||
\(490\) | −8.14781 | + | 3.53184i | −0.368080 | + | 0.159552i | ||||
\(491\) | −19.4095 | − | 11.2061i | −0.875940 | − | 0.505724i | −0.00662258 | − | 0.999978i | \(-0.502108\pi\) |
−0.869318 | + | 0.494254i | \(0.835441\pi\) | |||||||
\(492\) | −0.388719 | − | 9.07568i | −0.0175248 | − | 0.409163i | ||||
\(493\) | 3.88613 | − | 2.24366i | 0.175023 | − | 0.101049i | ||||
\(494\) | 6.07478 | − | 23.0206i | 0.273317 | − | 1.03574i | ||||
\(495\) | −1.67602 | − | 19.5297i | −0.0753315 | − | 0.877794i | ||||
\(496\) | −4.25869 | + | 7.37627i | −0.191221 | + | 0.331204i | ||||
\(497\) | 1.14858 | − | 20.0274i | 0.0515207 | − | 0.898352i | ||||
\(498\) | 0.683458 | + | 15.9571i | 0.0306265 | + | 0.715057i | ||||
\(499\) | −17.1062 | − | 9.87625i | −0.765777 | − | 0.442122i | 0.0655891 | − | 0.997847i | \(-0.479107\pi\) |
−0.831366 | + | 0.555725i | \(0.812441\pi\) | |||||||
\(500\) | −9.21840 | − | 5.32225i | −0.412260 | − | 0.238018i | ||||
\(501\) | 24.6907 | − | 15.7010i | 1.10310 | − | 0.701468i | ||||
\(502\) | −11.3067 | + | 19.5838i | −0.504644 | + | 0.874069i | ||||
\(503\) | 3.11599 | + | 5.39705i | 0.138935 | + | 0.240643i | 0.927094 | − | 0.374829i | \(-0.122299\pi\) |
−0.788159 | + | 0.615472i | \(0.788965\pi\) | |||||||
\(504\) | 0.224768 | + | 7.93407i | 0.0100120 | + | 0.353412i | ||||
\(505\) | 10.3870 | + | 5.99694i | 0.462215 | + | 0.266860i | ||||
\(506\) | −12.0429 | − | 6.95296i | −0.535371 | − | 0.309097i | ||||
\(507\) | 20.0424 | + | 10.2617i | 0.890113 | + | 0.455739i | ||||
\(508\) | 5.87399 | + | 10.1740i | 0.260616 | + | 0.451400i | ||||
\(509\) | −14.0059 | + | 8.08631i | −0.620800 | + | 0.358419i | −0.777181 | − | 0.629278i | \(-0.783351\pi\) |
0.156380 | + | 0.987697i | \(0.450018\pi\) | |||||||
\(510\) | −9.27622 | + | 5.89880i | −0.410758 | + | 0.261203i | ||||
\(511\) | −0.0638650 | + | 1.11360i | −0.00282522 | + | 0.0492626i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −34.0293 | + | 4.39402i | −1.50243 | + | 0.194001i | ||||
\(514\) | −0.682789 | + | 1.18262i | −0.0301165 | + | 0.0521633i | ||||
\(515\) | 11.3119 | + | 19.5929i | 0.498464 | + | 0.863364i | ||||
\(516\) | −2.75669 | + | 5.28485i | −0.121356 | + | 0.232653i | ||||
\(517\) | 21.5527 | + | 12.4435i | 0.947887 | + | 0.547263i | ||||
\(518\) | −6.58140 | − | 13.0756i | −0.289170 | − | 0.574509i | ||||
\(519\) | −0.410812 | + | 0.787568i | −0.0180326 | + | 0.0345704i | ||||
\(520\) | −1.20062 | − | 4.41370i | −0.0526507 | − | 0.193553i | ||||
\(521\) | −8.95460 | − | 15.5098i | −0.392308 | − | 0.679498i | 0.600445 | − | 0.799666i | \(-0.294990\pi\) |
−0.992754 | + | 0.120168i | \(0.961657\pi\) | |||||||
\(522\) | 2.20676 | − | 1.53975i | 0.0965874 | − | 0.0673930i | ||||
\(523\) | 13.2622 | − | 7.65695i | 0.579917 | − | 0.334815i | −0.181184 | − | 0.983449i | \(-0.557993\pi\) |
0.761100 | + | 0.648634i | \(0.224660\pi\) | |||||||
\(524\) | 2.35882 | + | 4.08559i | 0.103045 | + | 0.178480i | ||||
\(525\) | 13.3421 | + | 7.96290i | 0.582297 | + | 0.347529i | ||||
\(526\) | −9.36276 | + | 5.40559i | −0.408236 | + | 0.235695i | ||||
\(527\) | 42.6114 | 1.85618 | ||||||||
\(528\) | 8.91247 | − | 0.381728i | 0.387865 | − | 0.0166126i | ||||
\(529\) | −7.85499 | + | 13.6052i | −0.341521 | + | 0.591532i | ||||
\(530\) | 8.58056 | + | 14.8620i | 0.372716 | + | 0.645562i | ||||
\(531\) | 3.03547 | + | 35.3705i | 0.131728 | + | 1.53495i | ||||
\(532\) | 15.6054 | − | 7.85475i | 0.676581 | − | 0.340547i | ||||
\(533\) | −4.96353 | − | 18.2468i | −0.214994 | − | 0.790357i | ||||
\(534\) | −12.1434 | + | 7.72205i | −0.525495 | + | 0.334166i | ||||
\(535\) | −12.3485 | −0.533872 | ||||||||
\(536\) | − | 11.5652i | − | 0.499540i | ||||||
\(537\) | −12.3155 | − | 6.42400i | −0.531452 | − | 0.277216i | ||||
\(538\) | 22.9534 | 0.989592 | ||||||||
\(539\) | −14.3385 | − | 33.0784i | −0.617603 | − | 1.42479i | ||||
\(540\) | −5.23970 | + | 3.99991i | −0.225481 | + | 0.172129i | ||||
\(541\) | 3.16570 | + | 1.82772i | 0.136104 | + | 0.0785797i | 0.566506 | − | 0.824058i | \(-0.308295\pi\) |
−0.430402 | + | 0.902637i | \(0.641628\pi\) | |||||||
\(542\) | −7.79637 | + | 13.5037i | −0.334883 | + | 0.580034i | ||||
\(543\) | 0.704993 | + | 0.367739i | 0.0302542 | + | 0.0157812i | ||||
\(544\) | −2.50144 | − | 4.33262i | −0.107248 | − | 0.185760i | ||||
\(545\) | 13.4326 | 0.575389 | ||||||||
\(546\) | 4.10559 | + | 16.0045i | 0.175703 | + | 0.684930i | ||||
\(547\) | −44.4370 | −1.89999 | −0.949995 | − | 0.312265i | \(-0.898912\pi\) | ||||
−0.949995 | + | 0.312265i | \(0.898912\pi\) | |||||||
\(548\) | 4.80934 | + | 8.33002i | 0.205445 | + | 0.355841i | ||||
\(549\) | 11.4837 | − | 8.01262i | 0.490111 | − | 0.341970i | ||||
\(550\) | 8.73136 | − | 15.1232i | 0.372306 | − | 0.644853i | ||||
\(551\) | −5.12932 | − | 2.96141i | −0.218516 | − | 0.126160i | ||||
\(552\) | 0.200117 | + | 4.67226i | 0.00851754 | + | 0.198865i | ||||
\(553\) | 13.9436 | − | 7.01828i | 0.592942 | − | 0.298448i | ||||
\(554\) | 22.3309 | 0.948750 | ||||||||
\(555\) | 5.62260 | − | 10.7791i | 0.238666 | − | 0.457547i | ||||
\(556\) | 2.09470i | 0.0888349i | ||||||||
\(557\) | 1.87782 | 0.0795659 | 0.0397830 | − | 0.999208i | \(-0.487333\pi\) | ||||
0.0397830 | + | 0.999208i | \(0.487333\pi\) | |||||||
\(558\) | 25.4586 | − | 2.18483i | 1.07775 | − | 0.0924913i | ||||
\(559\) | −3.16592 | + | 11.9973i | −0.133904 | + | 0.507433i | ||||
\(560\) | 1.84191 | − | 2.80592i | 0.0778347 | − | 0.118572i | ||||
\(561\) | −23.9479 | − | 37.6595i | −1.01108 | − | 1.58998i | ||||
\(562\) | −10.8993 | − | 18.8782i | −0.459760 | − | 0.796328i | ||||
\(563\) | −3.09884 | + | 5.36735i | −0.130601 | + | 0.226207i | −0.923908 | − | 0.382614i | \(-0.875024\pi\) |
0.793308 | + | 0.608821i | \(0.208357\pi\) | |||||||
\(564\) | −0.358142 | − | 8.36178i | −0.0150805 | − | 0.352094i | ||||
\(565\) | −3.93069 | −0.165365 | ||||||||
\(566\) | −3.89678 | + | 2.24981i | −0.163794 | + | 0.0945664i | ||||
\(567\) | 19.1344 | − | 14.1731i | 0.803568 | − | 0.595212i | ||||
\(568\) | 3.79105 | + | 6.56628i | 0.159069 | + | 0.275515i | ||||
\(569\) | −5.68369 | + | 3.28148i | −0.238272 | + | 0.137567i | −0.614383 | − | 0.789008i | \(-0.710595\pi\) |
0.376110 | + | 0.926575i | \(0.377261\pi\) | |||||||
\(570\) | 12.8646 | + | 6.71044i | 0.538839 | + | 0.281069i | ||||
\(571\) | −8.90567 | − | 15.4251i | −0.372691 | − | 0.645519i | 0.617288 | − | 0.786737i | \(-0.288231\pi\) |
−0.989978 | + | 0.141218i | \(0.954898\pi\) | |||||||
\(572\) | 17.9187 | − | 4.87426i | 0.749217 | − | 0.203803i | ||||
\(573\) | 15.5045 | + | 8.08747i | 0.647710 | + | 0.337859i | ||||
\(574\) | 7.61469 | − | 11.6001i | 0.317831 | − | 0.484177i | ||||
\(575\) | 7.92815 | + | 4.57732i | 0.330627 | + | 0.190887i | ||||
\(576\) | −1.71665 | − | 2.46030i | −0.0715273 | − | 0.102513i | ||||
\(577\) | 1.86181 | + | 3.22475i | 0.0775082 | + | 0.134248i | 0.902174 | − | 0.431372i | \(-0.141970\pi\) |
−0.824666 | + | 0.565620i | \(0.808637\pi\) | |||||||
\(578\) | −4.01440 | + | 6.95314i | −0.166977 | + | 0.289212i | ||||
\(579\) | 12.7158 | + | 6.63282i | 0.528451 | + | 0.275651i | ||||
\(580\) | −1.13789 | −0.0472482 | ||||||||
\(581\) | −13.3884 | + | 20.3956i | −0.555444 | + | 0.846151i | ||||
\(582\) | 11.5436 | + | 18.1530i | 0.478497 | + | 0.752464i | ||||
\(583\) | −60.3364 | + | 34.8352i | −2.49888 | + | 1.44273i | ||||
\(584\) | −0.210796 | − | 0.365109i | −0.00872279 | − | 0.0151083i | ||||
\(585\) | −8.79798 | + | 10.5307i | −0.363752 | + | 0.435390i | ||||
\(586\) | 11.6501 | + | 6.72621i | 0.481263 | + | 0.277857i | ||||
\(587\) | 36.8272 | + | 21.2622i | 1.52002 | + | 0.877585i | 0.999721 | + | 0.0236021i | \(0.00751349\pi\) |
0.520301 | + | 0.853983i | \(0.325820\pi\) | |||||||
\(588\) | −6.79951 | + | 10.0383i | −0.280407 | + | 0.413971i | ||||
\(589\) | −28.1215 | − | 48.7078i | −1.15873 | − | 2.00697i | ||||
\(590\) | 7.50612 | − | 13.0010i | 0.309022 | − | 0.535242i | ||||
\(591\) | 13.1485 | + | 20.6768i | 0.540857 | + | 0.850530i | ||||
\(592\) | 4.79158 | + | 2.76642i | 0.196933 | + | 0.113699i | ||||
\(593\) | −23.8770 | − | 13.7854i | −0.980509 | − | 0.566097i | −0.0780852 | − | 0.996947i | \(-0.524881\pi\) |
−0.902424 | + | 0.430850i | \(0.858214\pi\) | |||||||
\(594\) | −16.2388 | − | 21.2721i | −0.666286 | − | 0.872804i | ||||
\(595\) | −16.7644 | − | 0.961442i | −0.687273 | − | 0.0394153i | ||||
\(596\) | 3.85315 | − | 6.67385i | 0.157831 | − | 0.273371i | ||||
\(597\) | 22.3979 | − | 14.2429i | 0.916684 | − | 0.582925i | ||||
\(598\) | 2.55528 | + | 9.39366i | 0.104493 | + | 0.384135i | ||||
\(599\) | 7.32482 | − | 4.22899i | 0.299284 | − | 0.172792i | −0.342837 | − | 0.939395i | \(-0.611388\pi\) |
0.642121 | + | 0.766603i | \(0.278055\pi\) | |||||||
\(600\) | −5.86731 | + | 0.251302i | −0.239532 | + | 0.0102594i | ||||
\(601\) | 12.8550 | + | 7.42186i | 0.524368 | + | 0.302744i | 0.738720 | − | 0.674013i | \(-0.235431\pi\) |
−0.214352 | + | 0.976756i | \(0.568764\pi\) | |||||||
\(602\) | −8.13288 | + | 4.09356i | −0.331472 | + | 0.166841i | ||||
\(603\) | −28.4539 | + | 19.8534i | −1.15873 | + | 0.808494i | ||||
\(604\) | − | 0.607068i | − | 0.0247012i | ||||||
\(605\) | −17.0577 | − | 9.84826i | −0.693494 | − | 0.400389i | ||||
\(606\) | 16.3603 | − | 0.700723i | 0.664590 | − | 0.0284649i | ||||
\(607\) | − | 27.1759i | − | 1.10303i | −0.834164 | − | 0.551517i | \(-0.814049\pi\) | ||
0.834164 | − | 0.551517i | \(-0.185951\pi\) | |||||||
\(608\) | −3.30166 | + | 5.71864i | −0.133900 | + | 0.231922i | ||||
\(609\) | 4.10990 | + | 0.0595268i | 0.166541 | + | 0.00241215i | ||||
\(610\) | −5.92139 | −0.239750 | ||||||||
\(611\) | −4.57309 | − | 16.8115i | −0.185007 | − | 0.680120i | ||||
\(612\) | −6.36546 | + | 13.5919i | −0.257308 | + | 0.549421i | ||||
\(613\) | 14.7974i | 0.597661i | 0.954306 | + | 0.298830i | \(0.0965965\pi\) | ||||
−0.954306 | + | 0.298830i | \(0.903403\pi\) | |||||||
\(614\) | 7.90334 | + | 13.6890i | 0.318953 | + | 0.552443i | ||||
\(615\) | 11.5136 | − | 0.493138i | 0.464274 | − | 0.0198852i | ||||
\(616\) | 11.3914 | + | 7.47775i | 0.458974 | + | 0.301287i | ||||
\(617\) | −10.4145 | − | 18.0385i | −0.419272 | − | 0.726201i | 0.576594 | − | 0.817031i | \(-0.304381\pi\) |
−0.995866 | + | 0.0908296i | \(0.971048\pi\) | |||||||
\(618\) | 27.3865 | + | 14.2854i | 1.10165 | + | 0.574642i | ||||
\(619\) | −13.6057 | − | 23.5658i | −0.546860 | − | 0.947189i | −0.998487 | − | 0.0549827i | \(-0.982490\pi\) |
0.451627 | − | 0.892207i | \(-0.350844\pi\) | |||||||
\(620\) | −9.35769 | − | 5.40267i | −0.375814 | − | 0.216976i | ||||
\(621\) | 11.1517 | − | 8.51301i | 0.447500 | − | 0.341615i | ||||
\(622\) | 13.1198 | − | 22.7241i | 0.526055 | − | 0.911154i | ||||
\(623\) | −21.9461 | − | 1.25861i | −0.879251 | − | 0.0504252i | ||||
\(624\) | −4.61679 | − | 4.20538i | −0.184820 | − | 0.168350i | ||||
\(625\) | −1.72458 | + | 2.98706i | −0.0689832 | + | 0.119482i | ||||
\(626\) | 16.5040i | 0.659633i | ||||||||
\(627\) | −27.2430 | + | 52.2275i | −1.08798 | + | 2.08577i | ||||
\(628\) | 13.3462i | 0.532572i | ||||||||
\(629\) | − | 27.6801i | − | 1.10368i | ||||||
\(630\) | −10.0653 | + | 0.285146i | −0.401012 | + | 0.0113605i | ||||
\(631\) | −23.4710 | + | 13.5510i | −0.934365 | + | 0.539456i | −0.888189 | − | 0.459478i | \(-0.848037\pi\) |
−0.0461755 | + | 0.998933i | \(0.514703\pi\) | |||||||
\(632\) | −2.95006 | + | 5.10965i | −0.117347 | + | 0.203251i | ||||
\(633\) | −8.60673 | − | 13.5346i | −0.342087 | − | 0.537952i | ||||
\(634\) | −29.6571 | −1.17783 | ||||||||
\(635\) | −12.9070 | + | 7.45186i | −0.512199 | + | 0.295718i | ||||
\(636\) | 20.7738 | + | 10.8360i | 0.823734 | + | 0.429677i | ||||
\(637\) | −9.18741 | + | 23.5073i | −0.364018 | + | 0.931392i | ||||
\(638\) | − | 4.61958i | − | 0.182891i | ||||||
\(639\) | 9.64714 | − | 20.5992i | 0.381635 | − | 0.814890i | ||||
\(640\) | 1.26862i | 0.0501467i | ||||||||
\(641\) | 5.52077 | + | 3.18742i | 0.218057 | + | 0.125895i | 0.605050 | − | 0.796187i | \(-0.293153\pi\) |
−0.386993 | + | 0.922083i | \(0.626486\pi\) | |||||||
\(642\) | −14.2266 | + | 9.04677i | −0.561478 | + | 0.357047i | ||||
\(643\) | −21.5821 | − | 37.3812i | −0.851113 | − | 1.47417i | −0.880204 | − | 0.474595i | \(-0.842595\pi\) |
0.0290911 | − | 0.999577i | \(-0.490739\pi\) | |||||||
\(644\) | −3.92013 | + | 5.97183i | −0.154475 | + | 0.235323i | ||||
\(645\) | −6.70448 | − | 3.49719i | −0.263989 | − | 0.137702i | ||||
\(646\) | 33.0356 | 1.29977 | ||||||||
\(647\) | −21.2183 | −0.834178 | −0.417089 | − | 0.908866i | \(-0.636950\pi\) | ||||
−0.417089 | + | 0.908866i | \(0.636950\pi\) | |||||||
\(648\) | −3.10619 | + | 8.44699i | −0.122023 | + | 0.331829i | ||||
\(649\) | 52.7812 | + | 30.4732i | 2.07184 | + | 1.19618i | ||||
\(650\) | −11.7963 | + | 3.20886i | −0.462690 | + | 0.125862i | ||||
\(651\) | 33.5161 | + | 20.0033i | 1.31360 | + | 0.783989i | ||||
\(652\) | 13.0162 | + | 7.51490i | 0.509753 | + | 0.294306i | ||||
\(653\) | 34.5174 | − | 19.9286i | 1.35077 | − | 0.779867i | 0.362411 | − | 0.932018i | \(-0.381954\pi\) |
0.988357 | + | 0.152152i | \(0.0486202\pi\) | |||||||
\(654\) | 15.4756 | − | 9.84101i | 0.605143 | − | 0.384814i | ||||
\(655\) | −5.18307 | + | 2.99245i | −0.202519 | + | 0.116925i | ||||
\(656\) | 5.24465i | 0.204769i | ||||||||
\(657\) | −0.536416 | + | 1.14539i | −0.0209276 | + | 0.0446859i | ||||
\(658\) | 7.01571 | − | 10.6876i | 0.273501 | − | 0.416645i | ||||
\(659\) | 29.9716 | − | 17.3041i | 1.16753 | − | 0.674072i | 0.214431 | − | 0.976739i | \(-0.431210\pi\) |
0.953096 | + | 0.302667i | \(0.0978769\pi\) | |||||||
\(660\) | 0.484269 | + | 11.3065i | 0.0188501 | + | 0.440107i | ||||
\(661\) | 19.1960 | 0.746639 | 0.373319 | − | 0.927703i | \(-0.378220\pi\) | ||||
0.373319 | + | 0.927703i | \(0.378220\pi\) | |||||||
\(662\) | 27.3462 | − | 15.7883i | 1.06284 | − | 0.613631i | ||||
\(663\) | −6.67168 | + | 30.5223i | −0.259107 | + | 1.18539i | ||||
\(664\) | − | 9.22131i | − | 0.357856i | ||||||
\(665\) | 9.96470 | + | 19.7974i | 0.386415 | + | 0.767710i | ||||
\(666\) | −1.41925 | − | 16.5377i | −0.0549950 | − | 0.640824i | ||||
\(667\) | 2.42176 | 0.0937710 | ||||||||
\(668\) | −14.6300 | + | 8.44665i | −0.566053 | + | 0.326811i | ||||
\(669\) | 12.2441 | + | 19.2545i | 0.473383 | + | 0.744423i | ||||
\(670\) | 14.6718 | 0.566823 | ||||||||
\(671\) | − | 24.0396i | − | 0.928038i | ||||||
\(672\) | 0.0663661 | − | 4.58210i | 0.00256013 | − | 0.176758i | ||||
\(673\) | 10.3779 | − | 17.9751i | 0.400039 | − | 0.692888i | −0.593691 | − | 0.804693i | \(-0.702330\pi\) |
0.993730 | + | 0.111805i | \(0.0356632\pi\) | |||||||
\(674\) | −9.43507 | − | 16.3420i | −0.363425 | − | 0.629471i | ||||
\(675\) | 10.6904 | + | 14.0040i | 0.411475 | + | 0.539013i | ||||
\(676\) | −11.3073 | − | 6.41435i | −0.434898 | − | 0.246706i | ||||
\(677\) | −3.91466 | + | 6.78038i | −0.150452 | + | 0.260591i | −0.931394 | − | 0.364013i | \(-0.881406\pi\) |
0.780941 | + | 0.624604i | \(0.214740\pi\) | |||||||
\(678\) | −4.52851 | + | 2.87971i | −0.173916 | + | 0.110594i | ||||
\(679\) | −1.88148 | + | 32.8068i | −0.0722046 | + | 1.25901i | ||||
\(680\) | 5.49645 | − | 3.17338i | 0.210779 | − | 0.121694i | ||||
\(681\) | −3.46493 | + | 2.20337i | −0.132776 | + | 0.0844333i | ||||
\(682\) | 21.9337 | − | 37.9902i | 0.839884 | − | 1.45472i | ||||
\(683\) | −12.7341 | + | 22.0560i | −0.487255 | + | 0.843951i | −0.999893 | − | 0.0146544i | \(-0.995335\pi\) |
0.512637 | + | 0.858605i | \(0.328669\pi\) | |||||||
\(684\) | 19.7374 | − | 1.69385i | 0.754679 | − | 0.0647659i | ||||
\(685\) | −10.5676 | + | 6.10123i | −0.403769 | + | 0.233116i | ||||
\(686\) | −17.3864 | + | 6.38076i | −0.663815 | + | 0.243618i | ||||
\(687\) | 10.9942 | + | 17.2890i | 0.419454 | + | 0.659616i | ||||
\(688\) | 1.72068 | − | 2.98031i | 0.0656004 | − | 0.113623i | ||||
\(689\) | 47.1593 | + | 12.4446i | 1.79663 | + | 0.474103i | ||||
\(690\) | −5.92733 | + | 0.253873i | −0.225650 | + | 0.00966477i | ||||
\(691\) | −9.17151 | − | 15.8855i | −0.348901 | − | 0.604314i | 0.637154 | − | 0.770737i | \(-0.280112\pi\) |
−0.986054 | + | 0.166423i | \(0.946778\pi\) | |||||||
\(692\) | 0.256422 | − | 0.444137i | 0.00974772 | − | 0.0168835i | ||||
\(693\) | −1.15763 | − | 40.8631i | −0.0439748 | − | 1.55226i | ||||
\(694\) | − | 5.84190i | − | 0.221755i | ||||||
\(695\) | −2.65738 | −0.100800 | ||||||||
\(696\) | −1.31095 | + | 0.833640i | −0.0496914 | + | 0.0315990i | ||||
\(697\) | 22.7231 | − | 13.1192i | 0.860698 | − | 0.496924i | ||||
\(698\) | −8.29279 | −0.313887 | ||||||||
\(699\) | −11.5511 | + | 7.34542i | −0.436903 | + | 0.277829i | ||||
\(700\) | −7.49928 | − | 4.92280i | −0.283446 | − | 0.186064i | ||||
\(701\) | − | 4.16816i | − | 0.157429i | −0.996897 | − | 0.0787147i | \(-0.974918\pi\) | ||
0.996897 | − | 0.0787147i | \(-0.0250816\pi\) | |||||||
\(702\) | −2.42107 | + | 18.5779i | −0.0913774 | + | 0.701178i | ||||
\(703\) | −31.6403 | + | 18.2676i | −1.19334 | + | 0.688974i | ||||
\(704\) | −5.15033 | −0.194110 | ||||||||
\(705\) | 10.6079 | − | 0.454347i | 0.399518 | − | 0.0171117i | ||||
\(706\) | −18.9199 | + | 10.9234i | −0.712058 | + | 0.411107i | ||||
\(707\) | 20.9108 | + | 13.7266i | 0.786431 | + | 0.516242i | ||||
\(708\) | −0.877067 | − | 20.4775i | −0.0329622 | − | 0.769590i | ||||
\(709\) | 18.5084i | 0.695097i | 0.937662 | + | 0.347549i | \(0.112986\pi\) | ||||
−0.937662 | + | 0.347549i | \(0.887014\pi\) | |||||||
\(710\) | −8.33013 | + | 4.80940i | −0.312624 | + | 0.180494i | ||||
\(711\) | 17.6355 | − | 1.51347i | 0.661384 | − | 0.0567594i | ||||
\(712\) | 7.19534 | − | 4.15423i | 0.269657 | − | 0.155686i | ||||
\(713\) | 19.9160 | + | 11.4985i | 0.745859 | + | 0.430622i | ||||
\(714\) | −20.0185 | + | 11.1743i | −0.749173 | + | 0.418187i | ||||
\(715\) | 6.18360 | + | 22.7320i | 0.231253 | + | 0.850129i | ||||
\(716\) | 6.94512 | + | 4.00977i | 0.259551 | + | 0.149852i | ||||
\(717\) | 21.8701 | − | 41.9271i | 0.816752 | − | 1.56580i | ||||
\(718\) | −20.3919 | −0.761020 | ||||||||
\(719\) | −10.0028 | −0.373042 | −0.186521 | − | 0.982451i | \(-0.559721\pi\) | ||||
−0.186521 | + | 0.982451i | \(0.559721\pi\) | |||||||
\(720\) | 3.12119 | − | 2.17779i | 0.116320 | − | 0.0811613i | ||||
\(721\) | 21.2131 | + | 42.1452i | 0.790019 | + | 1.56957i | ||||
\(722\) | −12.3019 | − | 21.3075i | −0.457830 | − | 0.792984i | ||||
\(723\) | 10.4853 | + | 16.4887i | 0.389951 | + | 0.613222i | ||||
\(724\) | −0.397570 | − | 0.229537i | −0.0147756 | − | 0.00853068i | ||||
\(725\) | 3.04119i | 0.112947i | ||||||||
\(726\) | −26.8671 | + | 1.15074i | −0.997130 | + | 0.0427079i | ||||
\(727\) | − | 27.8818i | − | 1.03408i | −0.855961 | − | 0.517040i | \(-0.827034\pi\) | ||
0.855961 | − | 0.517040i | \(-0.172966\pi\) | |||||||
\(728\) | −1.97279 | − | 9.33317i | −0.0731164 | − | 0.345910i | ||||
\(729\) | 26.1144 | − | 6.85838i | 0.967201 | − | 0.254014i | ||||
\(730\) | 0.463185 | − | 0.267420i | 0.0171433 | − | 0.00989766i | ||||
\(731\) | −17.2167 | −0.636784 | ||||||||
\(732\) | −6.82198 | + | 4.33814i | −0.252148 | + | 0.160342i | ||||
\(733\) | −9.38772 | + | 16.2600i | −0.346743 | + | 0.600577i | −0.985669 | − | 0.168691i | \(-0.946046\pi\) |
0.638925 | + | 0.769269i | \(0.279379\pi\) | |||||||
\(734\) | 14.1857 | − | 8.19011i | 0.523603 | − | 0.302302i | ||||
\(735\) | −12.7348 | − | 8.62601i | −0.469728 | − | 0.318175i | ||||
\(736\) | − | 2.70000i | − | 0.0995235i | ||||||
\(737\) | 59.5646i | 2.19409i | ||||||||
\(738\) | 12.9034 | − | 9.00326i | 0.474982 | − | 0.331415i | ||||
\(739\) | 5.49624i | 0.202183i | 0.994877 | + | 0.101091i | \(0.0322334\pi\) | ||||
−0.994877 | + | 0.101091i | \(0.967767\pi\) | |||||||
\(740\) | −3.50954 | + | 6.07870i | −0.129013 | + | 0.223458i | ||||
\(741\) | 39.2921 | − | 12.5171i | 1.44343 | − | 0.459826i | ||||
\(742\) | 16.0910 | + | 31.9689i | 0.590720 | + | 1.17361i | ||||
\(743\) | −9.12112 | + | 15.7982i | −0.334621 | + | 0.579581i | −0.983412 | − | 0.181386i | \(-0.941942\pi\) |
0.648791 | + | 0.760967i | \(0.275275\pi\) | |||||||
\(744\) | −14.7390 | + | 0.631285i | −0.540359 | + | 0.0231440i | ||||
\(745\) | 8.46659 | + | 4.88819i | 0.310192 | + | 0.179089i | ||||
\(746\) | 7.06962 | + | 12.2449i | 0.258837 | + | 0.448319i | ||||
\(747\) | −22.6872 | + | 15.8298i | −0.830082 | + | 0.579182i | ||||
\(748\) | 12.8832 | + | 22.3144i | 0.471058 | + | 0.815896i | ||||
\(749\) | −25.7109 | − | 1.47453i | −0.939457 | − | 0.0538780i | ||||
\(750\) | −0.788941 | − | 18.4199i | −0.0288080 | − | 0.672600i | ||||
\(751\) | 10.2889 | + | 17.8210i | 0.375449 | + | 0.650297i | 0.990394 | − | 0.138273i | \(-0.0441552\pi\) |
−0.614945 | + | 0.788570i | \(0.710822\pi\) | |||||||
\(752\) | 4.83210i | 0.176209i | ||||||||
\(753\) | −39.1318 | + | 1.67605i | −1.42604 | + | 0.0610786i | ||||
\(754\) | −2.27808 | + | 2.29544i | −0.0829627 | + | 0.0835949i | ||||
\(755\) | 0.770139 | 0.0280282 | ||||||||
\(756\) | −11.3873 | + | 7.70259i | −0.414151 | + | 0.280141i | ||||
\(757\) | 1.82325 | − | 3.15796i | 0.0662672 | − | 0.114778i | −0.830988 | − | 0.556290i | \(-0.812224\pi\) |
0.897255 | + | 0.441512i | \(0.145558\pi\) | |||||||
\(758\) | − | 11.0527i | − | 0.401454i | ||||||
\(759\) | −1.03067 | − | 24.0637i | −0.0374109 | − | 0.873457i | ||||
\(760\) | −7.25479 | − | 4.18856i | −0.263159 | − | 0.151935i | ||||
\(761\) | 45.9554i | 1.66588i | 0.553363 | + | 0.832940i | \(0.313344\pi\) | ||||
−0.553363 | + | 0.832940i | \(0.686656\pi\) | |||||||
\(762\) | −9.41065 | + | 18.0412i | −0.340912 | + | 0.653563i | ||||
\(763\) | 27.9682 | + | 1.60398i | 1.01252 | + | 0.0580680i | ||||
\(764\) | −8.74352 | − | 5.04808i | −0.316330 | − | 0.182633i | ||||
\(765\) | −17.2430 | − | 8.07535i | −0.623422 | − | 0.291965i | ||||
\(766\) | −0.828157 | + | 0.478136i | −0.0299225 | + | 0.0172758i | ||||
\(767\) | −11.1992 | − | 41.1703i | −0.404380 | − | 1.48657i | ||||
\(768\) | 0.929420 | + | 1.46157i | 0.0335375 | + | 0.0527398i | ||||
\(769\) | 3.19274 | − | 5.52999i | 0.115133 | − | 0.199417i | −0.802700 | − | 0.596383i | \(-0.796604\pi\) |
0.917833 | + | 0.396967i | \(0.129937\pi\) | |||||||
\(770\) | −9.48643 | + | 14.4514i | −0.341867 | + | 0.520793i | ||||
\(771\) | −2.36308 | + | 0.101213i | −0.0851043 | + | 0.00364509i | ||||
\(772\) | −7.17088 | − | 4.14011i | −0.258086 | − | 0.149006i | ||||
\(773\) | 7.77765 | + | 4.49043i | 0.279743 | + | 0.161510i | 0.633307 | − | 0.773901i | \(-0.281697\pi\) |
−0.353564 | + | 0.935410i | \(0.615030\pi\) | |||||||
\(774\) | −10.2863 | + | 0.882760i | −0.369733 | + | 0.0317302i | ||||
\(775\) | −14.4395 | + | 25.0100i | −0.518683 | + | 0.898385i | ||||
\(776\) | −6.21010 | − | 10.7562i | −0.222930 | − | 0.386125i | ||||
\(777\) | 12.9940 | − | 21.7719i | 0.466157 | − | 0.781062i | ||||
\(778\) | −2.35900 | − | 1.36197i | −0.0845742 | − | 0.0488289i | ||||
\(779\) | −29.9923 | − | 17.3161i | −1.07459 | − | 0.620412i | ||||
\(780\) | 5.33503 | − | 5.85696i | 0.191025 | − | 0.209713i | ||||
\(781\) | −19.5251 | − | 33.8185i | −0.698665 | − | 1.21012i | ||||
\(782\) | −11.6981 | + | 6.75390i | −0.418323 | + | 0.241519i | ||||
\(783\) | 4.30145 | + | 1.79426i | 0.153721 | + | 0.0641216i | ||||
\(784\) | 4.17011 | − | 5.62230i | 0.148932 | − | 0.200796i | ||||
\(785\) | −16.9313 | −0.604304 | ||||||||
\(786\) | −3.77904 | + | 7.24480i | −0.134794 | + | 0.258413i | ||||
\(787\) | 12.6437 | − | 21.8996i | 0.450700 | − | 0.780635i | −0.547730 | − | 0.836655i | \(-0.684508\pi\) |
0.998430 | + | 0.0560203i | \(0.0178411\pi\) | |||||||
\(788\) | −7.07350 | − | 12.2517i | −0.251983 | − | 0.436448i | ||||
\(789\) | −16.6026 | − | 8.66024i | −0.591067 | − | 0.308313i | ||||
\(790\) | −6.48222 | − | 3.74251i | −0.230627 | − | 0.133152i | ||||
\(791\) | −8.18413 | − | 0.469361i | −0.290994 | − | 0.0166886i | ||||
\(792\) | 8.84134 | + | 12.6714i | 0.314163 | + | 0.450258i | ||||
\(793\) | −11.8548 | + | 11.9451i | −0.420976 | + | 0.424184i | ||||
\(794\) | 12.1261 | + | 21.0031i | 0.430340 | + | 0.745371i | ||||
\(795\) | −13.7468 | + | 26.3541i | −0.487550 | + | 0.934682i | ||||
\(796\) | −13.2715 | + | 7.66228i | −0.470394 | + | 0.271582i | ||||
\(797\) | −17.4459 | − | 30.2171i | −0.617964 | − | 1.07034i | −0.989857 | − | 0.142069i | \(-0.954624\pi\) |
0.371893 | − | 0.928276i | \(-0.378709\pi\) | |||||||
\(798\) | 25.9842 | + | 15.5080i | 0.919832 | + | 0.548979i | ||||
\(799\) | 20.9357 | − | 12.0872i | 0.740650 | − | 0.427615i | ||||
\(800\) | 3.39060 | 0.119876 | ||||||||
\(801\) | −22.5726 | − | 10.5713i | −0.797563 | − | 0.373520i | ||||
\(802\) | 16.4158 | − | 28.4331i | 0.579663 | − | 1.00401i | ||||
\(803\) | 1.08567 | + | 1.88043i | 0.0383124 | + | 0.0663591i | ||||
\(804\) | 16.9033 | − | 10.7489i | 0.596134 | − | 0.379085i | ||||
\(805\) | −7.57600 | − | 4.97316i | −0.267019 | − | 0.175281i | ||||
\(806\) | −29.6331 | + | 8.06083i | −1.04378 | + | 0.283931i | ||||
\(807\) | 21.3333 | + | 33.5480i | 0.750969 | + | 1.18094i | ||||
\(808\) | −9.45426 | −0.332600 | ||||||||
\(809\) | − | 11.3791i | − | 0.400069i | −0.979789 | − | 0.200035i | \(-0.935894\pi\) | ||
0.979789 | − | 0.200035i | \(-0.0641055\pi\) | |||||||
\(810\) | −10.7160 | − | 3.94058i | −0.376523 | − | 0.138458i | ||||
\(811\) | −41.1437 | −1.44475 | −0.722376 | − | 0.691501i | \(-0.756950\pi\) | ||||
−0.722376 | + | 0.691501i | \(0.756950\pi\) | |||||||
\(812\) | −2.36921 | − | 0.135874i | −0.0831428 | − | 0.00476826i | ||||
\(813\) | −26.9827 | + | 1.15569i | −0.946324 | + | 0.0405319i | ||||
\(814\) | −24.6782 | − | 14.2480i | −0.864971 | − | 0.499392i | ||||
\(815\) | −9.53356 | + | 16.5126i | −0.333946 | + | 0.578412i | ||||
\(816\) | 4.00753 | − | 7.68284i | 0.140292 | − | 0.268953i | ||||
\(817\) | 11.3622 | + | 19.6799i | 0.397514 | + | 0.688514i | ||||
\(818\) | 19.9476 | 0.697452 | ||||||||
\(819\) | −19.5758 | + | 20.8755i | −0.684035 | + | 0.729449i | ||||
\(820\) | −6.65348 | −0.232350 | ||||||||
\(821\) | −22.8097 | − | 39.5075i | −0.796063 | − | 1.37882i | −0.922162 | − | 0.386804i | \(-0.873579\pi\) |
0.126099 | − | 0.992018i | \(-0.459754\pi\) | |||||||
\(822\) | −7.70499 | + | 14.7713i | −0.268742 | + | 0.515207i | ||||
\(823\) | −13.6104 | + | 23.5739i | −0.474428 | + | 0.821733i | −0.999571 | − | 0.0292806i | \(-0.990678\pi\) |
0.525143 | + | 0.851014i | \(0.324012\pi\) | |||||||
\(824\) | −15.4442 | − | 8.91672i | −0.538024 | − | 0.310629i | ||||
\(825\) | 30.2186 | − | 1.29429i | 1.05208 | − | 0.0450613i | ||||
\(826\) | 17.1810 | − | 26.1732i | 0.597804 | − | 0.910682i | ||||
\(827\) | 36.7827 | 1.27906 | 0.639530 | − | 0.768766i | \(-0.279129\pi\) | ||||
0.639530 | + | 0.768766i | \(0.279129\pi\) | |||||||
\(828\) | −6.64283 | + | 4.63498i | −0.230854 | + | 0.161077i | ||||
\(829\) | 2.53007i | 0.0878730i | 0.999034 | + | 0.0439365i | \(0.0139899\pi\) | ||||
−0.999034 | + | 0.0439365i | \(0.986010\pi\) | |||||||
\(830\) | 11.6984 | 0.406056 | ||||||||
\(831\) | 20.7548 | + | 32.6381i | 0.719976 | + | 1.13220i | ||||
\(832\) | 2.55917 | + | 2.53981i | 0.0887232 | + | 0.0880522i | ||||
\(833\) | −34.7905 | − | 4.00366i | −1.20542 | − | 0.138719i | ||||
\(834\) | −3.06154 | + | 1.94685i | −0.106012 | + | 0.0674140i | ||||
\(835\) | −10.7156 | − | 18.5600i | −0.370829 | − | 0.642294i | ||||
\(836\) | 17.0046 | − | 29.4529i | 0.588118 | − | 1.01865i | ||||
\(837\) | 26.8550 | + | 35.1788i | 0.928243 | + | 1.21596i | ||||
\(838\) | 4.30992 | 0.148884 | ||||||||
\(839\) | −38.7140 | + | 22.3515i | −1.33656 | + | 0.771661i | −0.986295 | − | 0.164991i | \(-0.947240\pi\) |
−0.350261 | + | 0.936652i | \(0.613907\pi\) | |||||||
\(840\) | 5.81294 | + | 0.0841934i | 0.200566 | + | 0.00290495i | ||||
\(841\) | −14.0977 | − | 24.4180i | −0.486129 | − | 0.842000i | ||||
\(842\) | 8.10114 | − | 4.67720i | 0.279184 | − | 0.161187i | ||||
\(843\) | 17.4617 | − | 33.4758i | 0.601412 | − | 1.15297i | ||||
\(844\) | 4.63016 | + | 8.01968i | 0.159377 | + | 0.276049i | ||||
\(845\) | 8.13738 | − | 14.3447i | 0.279934 | − | 0.493474i | ||||
\(846\) | 11.8884 | − | 8.29505i | 0.408733 | − | 0.285190i | ||||
\(847\) | −34.3400 | − | 22.5420i | −1.17994 | − | 0.774553i | ||||
\(848\) | −11.7150 | − | 6.76369i | −0.402296 | − | 0.232266i | ||||
\(849\) | −6.90998 | − | 3.60439i | −0.237150 | − | 0.123702i | ||||
\(850\) | −8.48138 | − | 14.6902i | −0.290909 | − | 0.503869i | ||||
\(851\) | 7.46935 | − | 12.9373i | 0.256046 | − | 0.443485i | ||||
\(852\) | −6.07359 | + | 11.6437i | −0.208078 | + | 0.398907i | ||||
\(853\) | 18.5205 | 0.634130 | 0.317065 | − | 0.948404i | \(-0.397303\pi\) | ||||
0.317065 | + | 0.948404i | \(0.397303\pi\) | |||||||
\(854\) | −12.3290 | − | 0.707070i | −0.421889 | − | 0.0241954i | ||||
\(855\) | 2.14885 | + | 25.0393i | 0.0734891 | + | 0.856326i | ||||
\(856\) | 8.42970 | − | 4.86689i | 0.288121 | − | 0.166347i | ||||
\(857\) | −18.8542 | − | 32.6564i | −0.644047 | − | 1.11552i | −0.984521 | − | 0.175268i | \(-0.943921\pi\) |
0.340474 | − | 0.940254i | \(-0.389413\pi\) | |||||||
\(858\) | 23.7780 | + | 21.6591i | 0.811768 | + | 0.739430i | ||||
\(859\) | 2.88055 | + | 1.66308i | 0.0982830 | + | 0.0567437i | 0.548336 | − | 0.836258i | \(-0.315262\pi\) |
−0.450053 | + | 0.893002i | \(0.648595\pi\) | |||||||
\(860\) | 3.78089 | + | 2.18290i | 0.128927 | + | 0.0744361i | ||||
\(861\) | 24.0315 | + | 0.348067i | 0.818991 | + | 0.0118621i | ||||
\(862\) | 0.433968 | + | 0.751655i | 0.0147810 | + | 0.0256015i | ||||
\(863\) | −25.4144 | + | 44.0190i | −0.865116 | + | 1.49842i | 0.00181612 | + | 0.999998i | \(0.499422\pi\) |
−0.866932 | + | 0.498426i | \(0.833911\pi\) | |||||||
\(864\) | 2.00041 | − | 4.79566i | 0.0680553 | − | 0.163152i | ||||
\(865\) | 0.563441 | + | 0.325303i | 0.0191576 | + | 0.0110606i | ||||
\(866\) | −20.7610 | − | 11.9864i | −0.705488 | − | 0.407313i | ||||
\(867\) | −13.8935 | + | 0.595072i | −0.471849 | + | 0.0202097i | ||||
\(868\) | −18.8386 | − | 12.3663i | −0.639425 | − | 0.419741i | ||||
\(869\) | 15.1938 | − | 26.3164i | 0.515414 | − | 0.892723i | ||||
\(870\) | −1.05757 | − | 1.66310i | −0.0358551 | − | 0.0563843i | ||||
\(871\) | 29.3734 | − | 29.5973i | 0.995281 | − | 1.00287i | ||||
\(872\) | −9.16977 | + | 5.29417i | −0.310528 | + | 0.179283i | ||||
\(873\) | −15.8029 | + | 33.7434i | −0.534849 | + | 1.14204i | ||||
\(874\) | 15.4404 | + | 8.91450i | 0.522278 | + | 0.301537i | ||||
\(875\) | 15.4547 | − | 23.5433i | 0.522464 | − | 0.795910i | ||||
\(876\) | 0.337714 | − | 0.647432i | 0.0114103 | − | 0.0218747i | ||||
\(877\) | − | 31.6065i | − | 1.06728i | −0.845713 | − | 0.533638i | \(-0.820824\pi\) | ||
0.845713 | − | 0.533638i | \(-0.179176\pi\) | |||||||
\(878\) | −15.7085 | − | 9.06933i | −0.530137 | − | 0.306075i | ||||
\(879\) | 0.997056 | + | 23.2789i | 0.0336299 | + | 0.785179i | ||||
\(880\) | − | 6.53382i | − | 0.220255i | ||||||
\(881\) | 20.2411 | − | 35.0585i | 0.681939 | − | 1.18115i | −0.292450 | − | 0.956281i | \(-0.594470\pi\) |
0.974388 | − | 0.224872i | \(-0.0721963\pi\) | |||||||
\(882\) | −20.9912 | − | 0.608191i | −0.706810 | − | 0.0204789i | ||||
\(883\) | 0.239886 | 0.00807282 | 0.00403641 | − | 0.999992i | \(-0.498715\pi\) | ||||
0.00403641 | + | 0.999992i | \(0.498715\pi\) | |||||||
\(884\) | 4.60244 | − | 17.4411i | 0.154797 | − | 0.586608i | ||||
\(885\) | 25.9781 | − | 1.11267i | 0.873246 | − | 0.0374019i | ||||
\(886\) | 29.0277i | 0.975206i | ||||||||
\(887\) | −20.4650 | − | 35.4464i | −0.687146 | − | 1.19017i | −0.972757 | − | 0.231827i | \(-0.925530\pi\) |
0.285611 | − | 0.958346i | \(-0.407804\pi\) | |||||||
\(888\) | 0.410079 | + | 9.57438i | 0.0137613 | + | 0.321295i | ||||
\(889\) | −27.7636 | + | 13.9744i | −0.931163 | + | 0.468686i | ||||
\(890\) | 5.27015 | + | 9.12816i | 0.176656 | + | 0.305977i | ||||
\(891\) | 15.9979 | − | 43.5048i | 0.535951 | − | 1.45747i | ||||
\(892\) | −6.58695 | − | 11.4089i | −0.220547 | − | 0.381999i | ||||
\(893\) | −27.6330 | − | 15.9539i | −0.924705 | − | 0.533879i | ||||
\(894\) | 13.3355 | − | 0.571169i | 0.446005 | − | 0.0191028i | ||||
\(895\) | −5.08688 | + | 8.81073i | −0.170036 | + | 0.294510i | ||||
\(896\) | −0.151485 | + | 2.64141i | −0.00506077 | + | 0.0882433i | ||||
\(897\) | −11.3545 | + | 12.4654i | −0.379117 | + | 0.416206i | ||||
\(898\) | 1.47303 | − | 2.55136i | 0.0491556 | − | 0.0851400i | ||||
\(899\) | 7.63964i | 0.254796i | ||||||||
\(900\) | −5.82049 | − | 8.34191i | −0.194016 | − | 0.278064i | ||||
\(901\) | 67.6758i | 2.25461i | ||||||||
\(902\) | − | 27.0117i | − | 0.899391i | ||||||
\(903\) | −13.5419 | − | 8.08213i | −0.450645 | − | 0.268956i | ||||
\(904\) | 2.68329 | − | 1.54920i | 0.0892448 | − | 0.0515255i | ||||
\(905\) | 0.291196 | − | 0.504366i | 0.00967968 | − | 0.0167657i | ||||
\(906\) | 0.887271 | − | 0.564221i | 0.0294776 | − | 0.0187450i | ||||
\(907\) | 23.2809 | 0.773031 | 0.386515 | − | 0.922283i | \(-0.373679\pi\) | ||||
0.386515 | + | 0.922283i | \(0.373679\pi\) | |||||||
\(908\) | 2.05308 | − | 1.18535i | 0.0681339 | − | 0.0393371i | ||||
\(909\) | 16.2297 | + | 23.2603i | 0.538305 | + | 0.771497i | ||||
\(910\) | 11.8403 | − | 2.50272i | 0.392501 | − | 0.0829644i | ||||
\(911\) | − | 28.7163i | − | 0.951415i | −0.879604 | − | 0.475708i | \(-0.842192\pi\) | ||
0.879604 | − | 0.475708i | \(-0.157808\pi\) | |||||||
\(912\) | −11.4268 | + | 0.489420i | −0.378379 | + | 0.0162063i | ||||
\(913\) | 47.4928i | 1.57178i | ||||||||
\(914\) | −16.7927 | − | 9.69524i | −0.555452 | − | 0.320690i | ||||
\(915\) | −5.50346 | − | 8.65451i | −0.181939 | − | 0.286109i | ||||
\(916\) | −5.91454 | − | 10.2443i | −0.195422 | − | 0.338480i | ||||
\(917\) | −11.1490 | + | 5.61170i | −0.368174 | + | 0.185315i | ||||
\(918\) | −25.7817 | + | 3.32905i | −0.850922 | + | 0.109875i | ||||
\(919\) | −15.2654 | −0.503558 | −0.251779 | − | 0.967785i | \(-0.581016\pi\) | ||||
−0.251779 | + | 0.967785i | \(0.581016\pi\) | |||||||
\(920\) | 3.42528 | 0.112928 | ||||||||
\(921\) | −12.6619 | + | 24.2741i | −0.417223 | + | 0.799858i | ||||
\(922\) | −18.5093 | − | 10.6864i | −0.609573 | − | 0.351937i | ||||
\(923\) | −6.97521 | + | 26.4328i | −0.229592 | + | 0.870045i | ||||
\(924\) | −0.341807 | + | 23.5993i | −0.0112446 | + | 0.776360i | ||||
\(925\) | 16.2463 | + | 9.37982i | 0.534176 | + | 0.308407i | ||||
\(926\) | −6.20980 | + | 3.58523i | −0.204067 | + | 0.117818i | ||||
\(927\) | 4.57453 | + | 53.3044i | 0.150247 | + | 1.75075i | ||||
\(928\) | 0.776779 | − | 0.448474i | 0.0254990 | − | 0.0147219i | ||||
\(929\) | 10.9550i | 0.359423i | 0.983719 | + | 0.179712i | \(0.0575165\pi\) | ||||
−0.983719 | + | 0.179712i | \(0.942484\pi\) | |||||||
\(930\) | −0.800861 | − | 18.6982i | −0.0262613 | − | 0.613140i | ||||
\(931\) | 18.3836 | + | 42.4102i | 0.602499 | + | 1.38994i | ||||
\(932\) | 6.84440 | − | 3.95162i | 0.224196 | − | 0.129440i | ||||
\(933\) | 45.4066 | − | 1.94480i | 1.48655 | − | 0.0636700i | ||||
\(934\) | 9.00155 | 0.294540 | ||||||||
\(935\) | −28.3086 | + | 16.3440i | −0.925789 | + | 0.534505i | ||||
\(936\) | 1.85551 | − | 10.6563i | 0.0606491 | − | 0.348313i | ||||
\(937\) | − | 24.6465i | − | 0.805165i | −0.915384 | − | 0.402583i | \(-0.868113\pi\) | ||
0.915384 | − | 0.402583i | \(-0.131887\pi\) | |||||||
\(938\) | 30.5484 | + | 1.75196i | 0.997441 | + | 0.0572035i | ||||
\(939\) | −24.1217 | + | 15.3392i | −0.787183 | + | 0.500575i | ||||
\(940\) | −6.13011 | −0.199942 | ||||||||
\(941\) | −7.51387 | + | 4.33814i | −0.244945 | + | 0.141419i | −0.617448 | − | 0.786612i | \(-0.711833\pi\) |
0.372502 | + | 0.928031i | \(0.378500\pi\) | |||||||
\(942\) | −19.5064 | + | 12.4042i | −0.635553 | + | 0.404152i | ||||
\(943\) | 14.1606 | 0.461132 | ||||||||
\(944\) | 11.8335i | 0.385148i | ||||||||
\(945\) | −9.77168 | − | 14.4461i | −0.317873 | − | 0.469933i | ||||
\(946\) | −8.86209 | + | 15.3496i | −0.288131 | + | 0.499058i | ||||
\(947\) | −2.59596 | − | 4.49634i | −0.0843575 | − | 0.146112i | 0.820760 | − | 0.571274i | \(-0.193550\pi\) |
−0.905117 | + | 0.425162i | \(0.860217\pi\) | |||||||
\(948\) | −10.2099 | + | 0.437301i | −0.331604 | + | 0.0142029i | ||||
\(949\) | 0.387847 | − | 1.46976i | 0.0125901 | − | 0.0477104i | ||||
\(950\) | −11.1946 | + | 19.3896i | −0.363201 | + | 0.629082i | ||||
\(951\) | −27.5639 | − | 43.3458i | −0.893820 | − | 1.40558i | ||||
\(952\) | 11.8232 | − | 5.95100i | 0.383191 | − | 0.192873i | ||||
\(953\) | −12.1003 | + | 6.98613i | −0.391968 | + | 0.226303i | −0.683013 | − | 0.730406i | \(-0.739331\pi\) |
0.291044 | + | 0.956710i | \(0.405997\pi\) | |||||||
\(954\) | 3.46997 | + | 40.4335i | 0.112344 | + | 1.30908i | ||||
\(955\) | 6.40410 | − | 11.0922i | 0.207232 | − | 0.358936i | ||||
\(956\) | −13.6510 | + | 23.6441i | −0.441503 | + | 0.764706i | ||||
\(957\) | 6.75182 | − | 4.29352i | 0.218255 | − | 0.138790i | ||||
\(958\) | −3.50004 | + | 2.02075i | −0.113081 | + | 0.0652874i | ||||
\(959\) | −22.7316 | + | 11.4416i | −0.734040 | + | 0.369467i | ||||
\(960\) | −1.85418 | + | 1.17908i | −0.0598433 | + | 0.0380547i | ||||
\(961\) | −20.7729 | + | 35.9797i | −0.670093 | + | 1.16064i | ||||
\(962\) | 5.23627 | + | 19.2495i | 0.168824 | + | 0.620627i | ||||
\(963\) | −26.4449 | − | 12.3849i | −0.852176 | − | 0.399097i | ||||
\(964\) | −5.64076 | − | 9.77009i | −0.181677 | − | 0.314673i | ||||
\(965\) | 5.25223 | − | 9.09713i | 0.169075 | − | 0.292847i | ||||
\(966\) | −12.3717 | − | 0.179189i | −0.398052 | − | 0.00576530i | ||||
\(967\) | 17.0679i | 0.548866i | 0.961606 | + | 0.274433i | \(0.0884902\pi\) | ||||
−0.961606 | + | 0.274433i | \(0.911510\pi\) | |||||||
\(968\) | 15.5259 | 0.499022 | ||||||||
\(969\) | 30.7039 | + | 48.2838i | 0.986352 | + | 1.55110i | ||||
\(970\) | 13.6456 | − | 7.87827i | 0.438132 | − | 0.252956i | ||||
\(971\) | 8.20143 | 0.263196 | 0.131598 | − | 0.991303i | \(-0.457989\pi\) | ||||
0.131598 | + | 0.991303i | \(0.457989\pi\) | |||||||
\(972\) | −15.2328 | + | 3.31088i | −0.488592 | + | 0.106197i | ||||
\(973\) | −5.53295 | − | 0.317316i | −0.177378 | − | 0.0101727i | ||||
\(974\) | − | 13.7020i | − | 0.439040i | ||||||
\(975\) | −15.6537 | − | 14.2588i | −0.501320 | − | 0.456646i | ||||
\(976\) | 4.04224 | − | 2.33379i | 0.129389 | − | 0.0747028i | ||||
\(977\) | 37.4333 | 1.19760 | 0.598798 | − | 0.800900i | \(-0.295645\pi\) | ||||
0.598798 | + | 0.800900i | \(0.295645\pi\) | |||||||
\(978\) | 1.11397 | + | 26.0085i | 0.0356207 | + | 0.831661i | ||||
\(979\) | −37.0584 | + | 21.3957i | −1.18439 | + | 0.683809i | ||||
\(980\) | 7.13257 | + | 5.29029i | 0.227841 | + | 0.168992i | ||||
\(981\) | 28.7666 | + | 13.4722i | 0.918447 | + | 0.430133i | ||||
\(982\) | 22.4122i | 0.715202i | ||||||||
\(983\) | 6.77655 | − | 3.91244i | 0.216138 | − | 0.124787i | −0.388023 | − | 0.921650i | \(-0.626842\pi\) |
0.604161 | + | 0.796862i | \(0.293508\pi\) | |||||||
\(984\) | −7.66541 | + | 4.87448i | −0.244364 | + | 0.155393i | ||||
\(985\) | 15.5427 | − | 8.97360i | 0.495233 | − | 0.285923i | ||||
\(986\) | −3.88613 | − | 2.24366i | −0.123760 | − | 0.0714526i | ||||
\(987\) | 22.1411 | + | 0.320688i | 0.704760 | + | 0.0102076i | ||||
\(988\) | −22.9738 | + | 6.24937i | −0.730894 | + | 0.198819i | ||||
\(989\) | −8.04685 | − | 4.64585i | −0.255875 | − | 0.147730i | ||||
\(990\) | −16.0752 | + | 11.2163i | −0.510903 | + | 0.356478i | ||||
\(991\) | −4.13567 | −0.131374 | −0.0656870 | − | 0.997840i | \(-0.520924\pi\) | ||||
−0.0656870 | + | 0.997840i | \(0.520924\pi\) | |||||||
\(992\) | 8.51738 | 0.270427 | ||||||||
\(993\) | 48.4918 | + | 25.2943i | 1.53884 | + | 0.802691i | ||||
\(994\) | −17.9185 | + | 9.01901i | −0.568342 | + | 0.286066i | ||||
\(995\) | −9.72053 | − | 16.8365i | −0.308162 | − | 0.533751i | ||||
\(996\) | 13.4776 | − | 8.57046i | 0.427053 | − | 0.271566i | ||||
\(997\) | −17.5761 | − | 10.1476i | −0.556642 | − | 0.321378i | 0.195154 | − | 0.980773i | \(-0.437479\pi\) |
−0.751797 | + | 0.659395i | \(0.770813\pi\) | |||||||
\(998\) | 19.7525i | 0.625254i | ||||||||
\(999\) | 22.8519 | − | 17.4448i | 0.723003 | − | 0.551930i |
(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 | 546.2.bn.e.173.11 | yes | 34 | |
3.2 | odd | 2 | 546.2.bn.f.173.7 | yes | 34 | ||
7.3 | odd | 6 | 546.2.bi.f.17.16 | yes | 34 | ||
13.10 | even | 6 | 546.2.bi.e.257.13 | yes | 34 | ||
21.17 | even | 6 | 546.2.bi.e.17.13 | ✓ | 34 | ||
39.23 | odd | 6 | 546.2.bi.f.257.16 | yes | 34 | ||
91.10 | odd | 6 | 546.2.bn.f.101.7 | yes | 34 | ||
273.101 | even | 6 | inner | 546.2.bn.e.101.11 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.13 | ✓ | 34 | 21.17 | even | 6 | ||
546.2.bi.e.257.13 | yes | 34 | 13.10 | even | 6 | ||
546.2.bi.f.17.16 | yes | 34 | 7.3 | odd | 6 | ||
546.2.bi.f.257.16 | yes | 34 | 39.23 | odd | 6 | ||
546.2.bn.e.101.11 | yes | 34 | 273.101 | even | 6 | inner | |
546.2.bn.e.173.11 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bn.f.101.7 | yes | 34 | 91.10 | odd | 6 | ||
546.2.bn.f.173.7 | yes | 34 | 3.2 | odd | 2 |