Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 187.3 | ||
Character | \(\chi\) | \(=\) | 300.187 |
Dual form | 300.2.w.a.223.3 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35338 | − | 0.410309i | −0.956987 | − | 0.290132i | ||||
\(3\) | −0.453990 | + | 0.891007i | −0.262112 | + | 0.514423i | ||||
\(4\) | 1.66329 | + | 1.11061i | 0.831647 | + | 0.555305i | ||||
\(5\) | 2.17065 | − | 0.536923i | 0.970743 | − | 0.240119i | ||||
\(6\) | 0.980011 | − | 1.01960i | 0.400088 | − | 0.416249i | ||||
\(7\) | 0.403183 | − | 0.403183i | 0.152389 | − | 0.152389i | −0.626795 | − | 0.779184i | \(-0.715634\pi\) |
0.779184 | + | 0.626795i | \(0.215634\pi\) | |||||||
\(8\) | −1.79538 | − | 2.18554i | −0.634763 | − | 0.772707i | ||||
\(9\) | −0.587785 | − | 0.809017i | −0.195928 | − | 0.269672i | ||||
\(10\) | −3.15802 | − | 0.163973i | −0.998655 | − | 0.0518527i | ||||
\(11\) | 2.68322 | − | 3.69314i | 0.809022 | − | 1.11352i | −0.182451 | − | 0.983215i | \(-0.558403\pi\) |
0.991473 | − | 0.130309i | \(-0.0415969\pi\) | |||||||
\(12\) | −1.74468 | + | 0.977799i | −0.503646 | + | 0.282266i | ||||
\(13\) | −0.669605 | + | 4.22772i | −0.185715 | + | 1.17256i | 0.702004 | + | 0.712173i | \(0.252289\pi\) |
−0.887719 | + | 0.460386i | \(0.847711\pi\) | |||||||
\(14\) | −0.711090 | + | 0.380232i | −0.190047 | + | 0.101621i | ||||
\(15\) | −0.507052 | + | 2.17782i | −0.130920 | + | 0.562311i | ||||
\(16\) | 1.53309 | + | 3.69454i | 0.383273 | + | 0.923635i | ||||
\(17\) | 1.13184 | − | 0.576699i | 0.274511 | − | 0.139870i | −0.311316 | − | 0.950306i | \(-0.600770\pi\) |
0.585827 | + | 0.810436i | \(0.300770\pi\) | |||||||
\(18\) | 0.463552 | + | 1.33608i | 0.109260 | + | 0.314918i | ||||
\(19\) | 0.214045 | − | 0.658762i | 0.0491053 | − | 0.151130i | −0.923497 | − | 0.383605i | \(-0.874682\pi\) |
0.972602 | + | 0.232475i | \(0.0746823\pi\) | |||||||
\(20\) | 4.20674 | + | 1.51768i | 0.940655 | + | 0.339364i | ||||
\(21\) | 0.176197 | + | 0.542280i | 0.0384494 | + | 0.118335i | ||||
\(22\) | −5.14676 | + | 3.89729i | −1.09729 | + | 0.830904i | ||||
\(23\) | 0.103651 | + | 0.654427i | 0.0216127 | + | 0.136457i | 0.996135 | − | 0.0878321i | \(-0.0279939\pi\) |
−0.974523 | + | 0.224289i | \(0.927994\pi\) | |||||||
\(24\) | 2.76242 | − | 0.607480i | 0.563877 | − | 0.124001i | ||||
\(25\) | 4.42343 | − | 2.33094i | 0.884685 | − | 0.466189i | ||||
\(26\) | 2.64090 | − | 5.44698i | 0.517924 | − | 1.06824i | ||||
\(27\) | 0.987688 | − | 0.156434i | 0.190081 | − | 0.0301058i | ||||
\(28\) | 1.11839 | − | 0.222833i | 0.211356 | − | 0.0421114i | ||||
\(29\) | 5.48448 | − | 1.78201i | 1.01844 | − | 0.330912i | 0.248231 | − | 0.968701i | \(-0.420151\pi\) |
0.770211 | + | 0.637789i | \(0.220151\pi\) | |||||||
\(30\) | 1.57981 | − | 2.73938i | 0.288433 | − | 0.500140i | ||||
\(31\) | 7.87705 | + | 2.55941i | 1.41476 | + | 0.459683i | 0.913933 | − | 0.405865i | \(-0.133030\pi\) |
0.500826 | + | 0.865548i | \(0.333030\pi\) | |||||||
\(32\) | −0.558959 | − | 5.62917i | −0.0988109 | − | 0.995106i | ||||
\(33\) | 2.07245 | + | 4.06742i | 0.360768 | + | 0.708047i | ||||
\(34\) | −1.76843 | + | 0.316093i | −0.303284 | + | 0.0542095i | ||||
\(35\) | 0.658690 | − | 1.09165i | 0.111339 | − | 0.184522i | ||||
\(36\) | −0.0791572 | − | 1.99843i | −0.0131929 | − | 0.333072i | ||||
\(37\) | −0.551102 | − | 0.0872860i | −0.0906006 | − | 0.0143497i | 0.110970 | − | 0.993824i | \(-0.464604\pi\) |
−0.201570 | + | 0.979474i | \(0.564604\pi\) | |||||||
\(38\) | −0.559981 | + | 0.803734i | −0.0908409 | + | 0.130383i | ||||
\(39\) | −3.46293 | − | 2.51597i | −0.554513 | − | 0.402877i | ||||
\(40\) | −5.07061 | − | 3.78007i | −0.801734 | − | 0.597681i | ||||
\(41\) | −3.58374 | + | 2.60374i | −0.559686 | + | 0.406636i | −0.831344 | − | 0.555758i | \(-0.812428\pi\) |
0.271658 | + | 0.962394i | \(0.412428\pi\) | |||||||
\(42\) | −0.0159605 | − | 0.806208i | −0.00246277 | − | 0.124401i | ||||
\(43\) | 2.72923 | + | 2.72923i | 0.416204 | + | 0.416204i | 0.883893 | − | 0.467689i | \(-0.154913\pi\) |
−0.467689 | + | 0.883893i | \(0.654913\pi\) | |||||||
\(44\) | 8.56463 | − | 3.16276i | 1.29117 | − | 0.476804i | ||||
\(45\) | −1.71026 | − | 1.44050i | −0.254950 | − | 0.214736i | ||||
\(46\) | 0.128237 | − | 0.928219i | 0.0189076 | − | 0.136858i | ||||
\(47\) | −9.06571 | − | 4.61921i | −1.32237 | − | 0.673781i | −0.356863 | − | 0.934157i | \(-0.616154\pi\) |
−0.965507 | + | 0.260375i | \(0.916154\pi\) | |||||||
\(48\) | −3.98787 | − | 0.311292i | −0.575599 | − | 0.0449311i | ||||
\(49\) | 6.67489i | 0.953555i | ||||||||
\(50\) | −6.94300 | + | 1.33969i | −0.981888 | + | 0.189461i | ||||
\(51\) | 1.27029i | 0.177876i | ||||||||
\(52\) | −5.80910 | + | 6.28827i | −0.805577 | + | 0.872027i | ||||
\(53\) | 7.66275 | + | 3.90436i | 1.05256 | + | 0.536306i | 0.892615 | − | 0.450820i | \(-0.148868\pi\) |
0.159944 | + | 0.987126i | \(0.448868\pi\) | |||||||
\(54\) | −1.40091 | − | 0.193541i | −0.190639 | − | 0.0263376i | ||||
\(55\) | 3.84140 | − | 9.45719i | 0.517974 | − | 1.27521i | ||||
\(56\) | −1.60504 | − | 0.157307i | −0.214483 | − | 0.0210211i | ||||
\(57\) | 0.489787 | + | 0.489787i | 0.0648739 | + | 0.0648739i | ||||
\(58\) | −8.15378 | + | 0.161421i | −1.07064 | + | 0.0211956i | ||||
\(59\) | −5.72938 | + | 4.16264i | −0.745902 | + | 0.541929i | −0.894554 | − | 0.446960i | \(-0.852507\pi\) |
0.148652 | + | 0.988890i | \(0.452507\pi\) | |||||||
\(60\) | −3.26208 | + | 3.05922i | −0.421133 | + | 0.394943i | ||||
\(61\) | −10.7384 | − | 7.80192i | −1.37491 | − | 0.998934i | −0.997335 | − | 0.0729561i | \(-0.976757\pi\) |
−0.377579 | − | 0.925977i | \(-0.623243\pi\) | |||||||
\(62\) | −9.61052 | − | 6.69588i | −1.22054 | − | 0.850378i | ||||
\(63\) | −0.563167 | − | 0.0891968i | −0.0709523 | − | 0.0112377i | ||||
\(64\) | −1.55321 | + | 7.84777i | −0.194151 | + | 0.980972i | ||||
\(65\) | 0.816485 | + | 9.53642i | 0.101272 | + | 1.18285i | ||||
\(66\) | −1.13593 | − | 6.35513i | −0.139823 | − | 0.782262i | ||||
\(67\) | −4.20759 | − | 8.25787i | −0.514039 | − | 1.00886i | −0.991488 | − | 0.130199i | \(-0.958438\pi\) |
0.477448 | − | 0.878660i | \(-0.341562\pi\) | |||||||
\(68\) | 2.52306 | + | 0.297808i | 0.305966 | + | 0.0361145i | ||||
\(69\) | −0.630155 | − | 0.204750i | −0.0758618 | − | 0.0246490i | ||||
\(70\) | −1.33937 | + | 1.20715i | −0.160086 | + | 0.144282i | ||||
\(71\) | 1.71079 | − | 0.555870i | 0.203034 | − | 0.0659696i | −0.205735 | − | 0.978608i | \(-0.565958\pi\) |
0.408768 | + | 0.912638i | \(0.365958\pi\) | |||||||
\(72\) | −0.712844 | + | 2.73712i | −0.0840095 | + | 0.322573i | ||||
\(73\) | −6.95389 | + | 1.10139i | −0.813892 | + | 0.128908i | −0.549485 | − | 0.835504i | \(-0.685176\pi\) |
−0.264407 | + | 0.964411i | \(0.585176\pi\) | |||||||
\(74\) | 0.710038 | + | 0.344253i | 0.0825402 | + | 0.0400186i | ||||
\(75\) | 0.0686916 | + | 4.99953i | 0.00793183 | + | 0.577296i | ||||
\(76\) | 1.08765 | − | 0.857995i | 0.124762 | − | 0.0984188i | ||||
\(77\) | −0.407181 | − | 2.57084i | −0.0464026 | − | 0.292974i | ||||
\(78\) | 3.65435 | + | 4.82594i | 0.413774 | + | 0.546430i | ||||
\(79\) | 2.36601 | + | 7.28182i | 0.266197 | + | 0.819269i | 0.991415 | + | 0.130750i | \(0.0417386\pi\) |
−0.725219 | + | 0.688518i | \(0.758261\pi\) | |||||||
\(80\) | 5.31149 | + | 7.19640i | 0.593842 | + | 0.804581i | ||||
\(81\) | −0.309017 | + | 0.951057i | −0.0343352 | + | 0.105673i | ||||
\(82\) | 5.91851 | − | 2.05342i | 0.653590 | − | 0.226762i | ||||
\(83\) | −7.97834 | + | 4.06517i | −0.875737 | + | 0.446210i | −0.833256 | − | 0.552887i | \(-0.813526\pi\) |
−0.0424806 | + | 0.999097i | \(0.513526\pi\) | |||||||
\(84\) | −0.309193 | + | 1.09766i | −0.0337357 | + | 0.119764i | ||||
\(85\) | 2.14717 | − | 1.85952i | 0.232894 | − | 0.201693i | ||||
\(86\) | −2.57387 | − | 4.81352i | −0.277547 | − | 0.519055i | ||||
\(87\) | −0.902114 | + | 5.69572i | −0.0967168 | + | 0.610646i | ||||
\(88\) | −12.8889 | + | 0.766290i | −1.37397 | + | 0.0816868i | ||||
\(89\) | 3.05003 | − | 4.19801i | 0.323303 | − | 0.444988i | −0.616169 | − | 0.787614i | \(-0.711316\pi\) |
0.939472 | + | 0.342626i | \(0.111316\pi\) | |||||||
\(90\) | 1.72358 | + | 2.65128i | 0.181682 | + | 0.279469i | ||||
\(91\) | 1.43457 | + | 1.97452i | 0.150384 | + | 0.206986i | ||||
\(92\) | −0.554411 | + | 1.20362i | −0.0578013 | + | 0.125486i | ||||
\(93\) | −5.85655 | + | 5.85655i | −0.607296 | + | 0.607296i | ||||
\(94\) | 10.3741 | + | 9.97131i | 1.07001 | + | 1.02846i | ||||
\(95\) | 0.110911 | − | 1.54487i | 0.0113793 | − | 0.158500i | ||||
\(96\) | 5.26939 | + | 2.05755i | 0.537805 | + | 0.209998i | ||||
\(97\) | 5.74169 | − | 11.2687i | 0.582981 | − | 1.14416i | −0.391602 | − | 0.920135i | \(-0.628079\pi\) |
0.974582 | − | 0.224029i | \(-0.0719210\pi\) | |||||||
\(98\) | 2.73876 | − | 9.03368i | 0.276657 | − | 0.912540i | ||||
\(99\) | −4.56497 | −0.458797 | ||||||||
\(100\) | 9.94623 | + | 1.03566i | 0.994623 | + | 0.103566i | ||||
\(101\) | −18.5684 | −1.84763 | −0.923813 | − | 0.382845i | \(-0.874945\pi\) | ||||
−0.923813 | + | 0.382845i | \(0.874945\pi\) | |||||||
\(102\) | 0.521211 | − | 1.71919i | 0.0516075 | − | 0.170225i | ||||
\(103\) | 3.40490 | − | 6.68249i | 0.335495 | − | 0.658445i | −0.660205 | − | 0.751085i | \(-0.729531\pi\) |
0.995700 | + | 0.0926401i | \(0.0295306\pi\) | |||||||
\(104\) | 10.4421 | − | 6.12692i | 1.02393 | − | 0.600794i | ||||
\(105\) | 0.673625 | + | 1.08249i | 0.0657391 | + | 0.105641i | ||||
\(106\) | −8.76864 | − | 8.42819i | −0.851686 | − | 0.818618i | ||||
\(107\) | −0.808322 | + | 0.808322i | −0.0781434 | + | 0.0781434i | −0.745098 | − | 0.666955i | \(-0.767597\pi\) |
0.666955 | + | 0.745098i | \(0.267597\pi\) | |||||||
\(108\) | 1.81655 | + | 0.836740i | 0.174798 | + | 0.0805153i | ||||
\(109\) | −10.5714 | − | 14.5503i | −1.01256 | − | 1.39367i | −0.917291 | − | 0.398218i | \(-0.869629\pi\) |
−0.0952690 | − | 0.995452i | \(-0.530371\pi\) | |||||||
\(110\) | −9.07926 | + | 11.2231i | −0.865673 | + | 1.07008i | ||||
\(111\) | 0.327967 | − | 0.451408i | 0.0311293 | − | 0.0428458i | ||||
\(112\) | 2.10769 | + | 0.871459i | 0.199158 | + | 0.0823451i | ||||
\(113\) | −1.84765 | + | 11.6656i | −0.173813 | + | 1.09741i | 0.734343 | + | 0.678778i | \(0.237490\pi\) |
−0.908156 | + | 0.418632i | \(0.862510\pi\) | |||||||
\(114\) | −0.461906 | − | 0.863834i | −0.0432615 | − | 0.0809055i | ||||
\(115\) | 0.576367 | + | 1.36488i | 0.0537465 | + | 0.127276i | ||||
\(116\) | 11.1014 | + | 3.12710i | 1.03074 | + | 0.290344i | ||||
\(117\) | 3.81388 | − | 1.94327i | 0.352594 | − | 0.179655i | ||||
\(118\) | 9.46201 | − | 3.28283i | 0.871049 | − | 0.302209i | ||||
\(119\) | 0.223822 | − | 0.688852i | 0.0205177 | − | 0.0631469i | ||||
\(120\) | 5.67007 | − | 2.80183i | 0.517605 | − | 0.255771i | ||||
\(121\) | −3.04041 | − | 9.35742i | −0.276401 | − | 0.850675i | ||||
\(122\) | 11.3320 | + | 14.9651i | 1.02595 | + | 1.35487i | ||||
\(123\) | −0.692965 | − | 4.37521i | −0.0624825 | − | 0.394499i | ||||
\(124\) | 10.2593 | + | 13.0054i | 0.921316 | + | 1.16792i | ||||
\(125\) | 8.35017 | − | 7.43470i | 0.746862 | − | 0.664980i | ||||
\(126\) | 0.725582 | + | 0.351790i | 0.0646400 | + | 0.0313399i | ||||
\(127\) | 19.6106 | − | 3.10602i | 1.74016 | − | 0.275614i | 0.796047 | − | 0.605235i | \(-0.206921\pi\) |
0.944113 | + | 0.329621i | \(0.106921\pi\) | |||||||
\(128\) | 5.32210 | − | 9.98375i | 0.470412 | − | 0.882447i | ||||
\(129\) | −3.67081 | + | 1.19272i | −0.323196 | + | 0.105013i | ||||
\(130\) | 2.80786 | − | 13.2415i | 0.246266 | − | 1.16135i | ||||
\(131\) | −21.6599 | − | 7.03773i | −1.89243 | − | 0.614889i | −0.977351 | − | 0.211625i | \(-0.932125\pi\) |
−0.915083 | − | 0.403264i | \(-0.867875\pi\) | |||||||
\(132\) | −1.07022 | + | 9.06700i | −0.0931505 | + | 0.789181i | ||||
\(133\) | −0.179302 | − | 0.351901i | −0.0155475 | − | 0.0305137i | ||||
\(134\) | 2.30621 | + | 12.9025i | 0.199227 | + | 1.11460i | ||||
\(135\) | 2.05993 | − | 0.869877i | 0.177291 | − | 0.0748671i | ||||
\(136\) | −3.29248 | − | 1.43828i | −0.282328 | − | 0.123332i | ||||
\(137\) | −16.5163 | − | 2.61593i | −1.41109 | − | 0.223494i | −0.596070 | − | 0.802932i | \(-0.703272\pi\) |
−0.815016 | + | 0.579438i | \(0.803272\pi\) | |||||||
\(138\) | 0.768831 | + | 0.535663i | 0.0654472 | + | 0.0455987i | ||||
\(139\) | −0.991605 | − | 0.720443i | −0.0841068 | − | 0.0611072i | 0.544937 | − | 0.838477i | \(-0.316553\pi\) |
−0.629044 | + | 0.777370i | \(0.716553\pi\) | |||||||
\(140\) | 2.30799 | − | 1.08418i | 0.195061 | − | 0.0916300i | ||||
\(141\) | 8.23150 | − | 5.98053i | 0.693217 | − | 0.503652i | ||||
\(142\) | −2.54343 | + | 0.0503525i | −0.213440 | + | 0.00422549i | ||||
\(143\) | 13.8169 | + | 13.8169i | 1.15542 | + | 1.15542i | ||||
\(144\) | 2.08782 | − | 3.41189i | 0.173985 | − | 0.284324i | ||||
\(145\) | 10.9481 | − | 6.81287i | 0.909187 | − | 0.565778i | ||||
\(146\) | 9.86319 | + | 1.36264i | 0.816284 | + | 0.112773i | ||||
\(147\) | −5.94737 | − | 3.03034i | −0.490531 | − | 0.249938i | ||||
\(148\) | −0.819704 | − | 0.757241i | −0.0673792 | − | 0.0622449i | ||||
\(149\) | − | 13.9644i | − | 1.14401i | −0.820251 | − | 0.572003i | \(-0.806166\pi\) | ||
0.820251 | − | 0.572003i | \(-0.193834\pi\) | |||||||
\(150\) | 1.95838 | − | 6.79446i | 0.159901 | − | 0.554766i | ||||
\(151\) | 19.3040i | 1.57094i | 0.618901 | + | 0.785469i | \(0.287578\pi\) | ||||
−0.618901 | + | 0.785469i | \(0.712422\pi\) | |||||||
\(152\) | −1.82405 | + | 0.714925i | −0.147950 | + | 0.0579881i | ||||
\(153\) | −1.13184 | − | 0.576699i | −0.0915035 | − | 0.0466234i | ||||
\(154\) | −0.503766 | + | 3.64640i | −0.0405946 | + | 0.293836i | ||||
\(155\) | 18.4725 | + | 1.32620i | 1.48375 | + | 0.106523i | ||||
\(156\) | −2.96562 | − | 8.03076i | −0.237439 | − | 0.642976i | ||||
\(157\) | 11.6248 | + | 11.6248i | 0.927763 | + | 0.927763i | 0.997561 | − | 0.0697978i | \(-0.0222354\pi\) |
−0.0697978 | + | 0.997561i | \(0.522235\pi\) | |||||||
\(158\) | −0.214321 | − | 10.8259i | −0.0170504 | − | 0.861261i | ||||
\(159\) | −6.95763 | + | 5.05501i | −0.551776 | + | 0.400889i | ||||
\(160\) | −4.23574 | − | 11.9188i | −0.334864 | − | 0.942266i | ||||
\(161\) | 0.305644 | + | 0.222063i | 0.0240881 | + | 0.0175010i | ||||
\(162\) | 0.808445 | − | 1.16035i | 0.0635175 | − | 0.0911658i | ||||
\(163\) | −17.3839 | − | 2.75333i | −1.36161 | − | 0.215658i | −0.567470 | − | 0.823394i | \(-0.692078\pi\) |
−0.794139 | + | 0.607736i | \(0.792078\pi\) | |||||||
\(164\) | −8.85255 | + | 0.350646i | −0.691268 | + | 0.0273809i | ||||
\(165\) | 6.68246 | + | 7.71619i | 0.520229 | + | 0.600705i | ||||
\(166\) | 12.4657 | − | 2.22815i | 0.967528 | − | 0.172938i | ||||
\(167\) | 3.04644 | + | 5.97897i | 0.235741 | + | 0.462667i | 0.978322 | − | 0.207089i | \(-0.0663989\pi\) |
−0.742582 | + | 0.669756i | \(0.766399\pi\) | |||||||
\(168\) | 0.868835 | − | 1.35869i | 0.0670321 | − | 0.104825i | ||||
\(169\) | −5.06153 | − | 1.64459i | −0.389349 | − | 0.126507i | ||||
\(170\) | −3.66893 | + | 1.63564i | −0.281394 | + | 0.125448i | ||||
\(171\) | −0.658762 | + | 0.214045i | −0.0503768 | + | 0.0163684i | ||||
\(172\) | 1.50840 | + | 7.57062i | 0.115015 | + | 0.577254i | ||||
\(173\) | −0.974029 | + | 0.154271i | −0.0740540 | + | 0.0117290i | −0.193352 | − | 0.981130i | \(-0.561936\pi\) |
0.119297 | + | 0.992859i | \(0.461936\pi\) | |||||||
\(174\) | 3.55791 | − | 7.33835i | 0.269725 | − | 0.556319i | ||||
\(175\) | 0.843653 | − | 2.72325i | 0.0637742 | − | 0.205858i | ||||
\(176\) | 17.7581 | + | 4.25136i | 1.33857 | + | 0.320458i | ||||
\(177\) | −1.10785 | − | 6.99471i | −0.0832714 | − | 0.525755i | ||||
\(178\) | −5.85034 | + | 4.43006i | −0.438502 | + | 0.332047i | ||||
\(179\) | 5.08238 | + | 15.6420i | 0.379875 | + | 1.16914i | 0.940130 | + | 0.340815i | \(0.110703\pi\) |
−0.560255 | + | 0.828320i | \(0.689297\pi\) | |||||||
\(180\) | −1.24483 | − | 4.29539i | −0.0927840 | − | 0.320160i | ||||
\(181\) | −7.05393 | + | 21.7098i | −0.524314 | + | 1.61367i | 0.241353 | + | 0.970437i | \(0.422409\pi\) |
−0.765668 | + | 0.643236i | \(0.777591\pi\) | |||||||
\(182\) | −1.13136 | − | 3.26090i | −0.0838622 | − | 0.241714i | ||||
\(183\) | 11.8267 | − | 6.02601i | 0.874255 | − | 0.445455i | ||||
\(184\) | 1.24419 | − | 1.40148i | 0.0917226 | − | 0.103318i | ||||
\(185\) | −1.24311 | + | 0.106432i | −0.0913956 | + | 0.00782506i | ||||
\(186\) | 10.3292 | − | 5.52317i | 0.757370 | − | 0.404978i | ||||
\(187\) | 0.907138 | − | 5.72744i | 0.0663365 | − | 0.418832i | ||||
\(188\) | −9.94880 | − | 17.7516i | −0.725591 | − | 1.29467i | ||||
\(189\) | 0.335147 | − | 0.461291i | 0.0243784 | − | 0.0335540i | ||||
\(190\) | −0.783978 | + | 2.04529i | −0.0568757 | + | 0.148381i | ||||
\(191\) | 5.09993 | + | 7.01945i | 0.369018 | + | 0.507910i | 0.952634 | − | 0.304120i | \(-0.0983625\pi\) |
−0.583616 | + | 0.812030i | \(0.698362\pi\) | |||||||
\(192\) | −6.28727 | − | 4.94674i | −0.453745 | − | 0.357000i | ||||
\(193\) | 3.60845 | − | 3.60845i | 0.259742 | − | 0.259742i | −0.565207 | − | 0.824949i | \(-0.691204\pi\) |
0.824949 | + | 0.565207i | \(0.191204\pi\) | |||||||
\(194\) | −12.3944 | + | 12.8950i | −0.889863 | + | 0.925808i | ||||
\(195\) | −8.86769 | − | 3.60195i | −0.635029 | − | 0.257941i | ||||
\(196\) | −7.41320 | + | 11.1023i | −0.529514 | + | 0.793021i | ||||
\(197\) | 5.27204 | − | 10.3470i | 0.375617 | − | 0.737190i | −0.623382 | − | 0.781917i | \(-0.714242\pi\) |
0.998999 | + | 0.0447274i | \(0.0142419\pi\) | |||||||
\(198\) | 6.17816 | + | 1.87305i | 0.439063 | + | 0.133112i | ||||
\(199\) | −1.27147 | −0.0901321 | −0.0450661 | − | 0.998984i | \(-0.514350\pi\) | ||||
−0.0450661 | + | 0.998984i | \(0.514350\pi\) | |||||||
\(200\) | −13.0361 | − | 5.48267i | −0.921793 | − | 0.387683i | ||||
\(201\) | 9.26802 | 0.653716 | ||||||||
\(202\) | 25.1302 | + | 7.61878i | 1.76815 | + | 0.536055i | ||||
\(203\) | 1.49277 | − | 2.92972i | 0.104772 | − | 0.205626i | ||||
\(204\) | −1.41080 | + | 2.11286i | −0.0987754 | + | 0.147930i | ||||
\(205\) | −6.38103 | + | 7.57599i | −0.445670 | + | 0.529130i | ||||
\(206\) | −7.35002 | + | 7.64691i | −0.512100 | + | 0.532786i | ||||
\(207\) | 0.468518 | − | 0.468518i | 0.0325642 | − | 0.0325642i | ||||
\(208\) | −16.6461 | + | 4.00760i | −1.15420 | + | 0.277877i | ||||
\(209\) | −1.85857 | − | 2.55811i | −0.128560 | − | 0.176948i | ||||
\(210\) | −0.467516 | − | 1.74142i | −0.0322617 | − | 0.120170i | ||||
\(211\) | −2.56831 | + | 3.53497i | −0.176810 | + | 0.243358i | −0.888219 | − | 0.459420i | \(-0.848057\pi\) |
0.711409 | + | 0.702778i | \(0.248057\pi\) | |||||||
\(212\) | 8.40917 | + | 15.0044i | 0.577544 | + | 1.03051i | ||||
\(213\) | −0.281399 | + | 1.77669i | −0.0192812 | + | 0.121736i | ||||
\(214\) | 1.42563 | − | 0.762308i | 0.0974541 | − | 0.0521103i | ||||
\(215\) | 7.38958 | + | 4.45881i | 0.503965 | + | 0.304088i | ||||
\(216\) | −2.11517 | − | 1.87778i | −0.143919 | − | 0.127767i | ||||
\(217\) | 4.20780 | − | 2.14398i | 0.285644 | − | 0.145543i | ||||
\(218\) | 8.33708 | + | 24.0297i | 0.564658 | + | 1.62750i | ||||
\(219\) | 2.17566 | − | 6.69598i | 0.147017 | − | 0.452473i | ||||
\(220\) | 16.8926 | − | 11.4638i | 1.13890 | − | 0.772889i | ||||
\(221\) | 1.68024 | + | 5.17125i | 0.113025 | + | 0.347856i | ||||
\(222\) | −0.629082 | + | 0.476361i | −0.0422212 | + | 0.0319712i | ||||
\(223\) | −1.79466 | − | 11.3311i | −0.120180 | − | 0.758784i | −0.972005 | − | 0.234959i | \(-0.924504\pi\) |
0.851826 | − | 0.523825i | \(-0.175496\pi\) | |||||||
\(224\) | −2.49495 | − | 2.04422i | −0.166701 | − | 0.136585i | ||||
\(225\) | −4.48580 | − | 2.20853i | −0.299053 | − | 0.147236i | ||||
\(226\) | 7.28709 | − | 15.0300i | 0.484730 | − | 0.999778i | ||||
\(227\) | −29.6086 | + | 4.68955i | −1.96519 | + | 0.311256i | −0.966733 | + | 0.255786i | \(0.917666\pi\) |
−0.998460 | + | 0.0554697i | \(0.982334\pi\) | |||||||
\(228\) | 0.270698 | + | 1.35862i | 0.0179274 | + | 0.0899770i | ||||
\(229\) | 0.824628 | − | 0.267938i | 0.0544929 | − | 0.0177058i | −0.281644 | − | 0.959519i | \(-0.590880\pi\) |
0.336137 | + | 0.941813i | \(0.390880\pi\) | |||||||
\(230\) | −0.220024 | − | 2.08369i | −0.0145080 | − | 0.137395i | ||||
\(231\) | 2.47549 | + | 0.804336i | 0.162875 | + | 0.0529214i | ||||
\(232\) | −13.7414 | − | 8.78718i | −0.902167 | − | 0.576906i | ||||
\(233\) | −4.29817 | − | 8.43563i | −0.281582 | − | 0.552637i | 0.706287 | − | 0.707926i | \(-0.250369\pi\) |
−0.987869 | + | 0.155289i | \(0.950369\pi\) | |||||||
\(234\) | −5.95899 | + | 1.06512i | −0.389551 | + | 0.0696291i | ||||
\(235\) | −22.1586 | − | 5.15909i | −1.44547 | − | 0.336542i | ||||
\(236\) | −14.1527 | + | 0.560584i | −0.921263 | + | 0.0364909i | ||||
\(237\) | −7.56229 | − | 1.19775i | −0.491224 | − | 0.0778022i | ||||
\(238\) | −0.585558 | + | 0.840445i | −0.0379561 | + | 0.0544779i | ||||
\(239\) | 8.95405 | + | 6.50550i | 0.579190 | + | 0.420806i | 0.838432 | − | 0.545006i | \(-0.183473\pi\) |
−0.259242 | + | 0.965812i | \(0.583473\pi\) | |||||||
\(240\) | −8.82340 | + | 1.46547i | −0.569548 | + | 0.0945960i | ||||
\(241\) | −0.593499 | + | 0.431202i | −0.0382306 | + | 0.0277762i | −0.606736 | − | 0.794903i | \(-0.707522\pi\) |
0.568506 | + | 0.822679i | \(0.307522\pi\) | |||||||
\(242\) | 0.275411 | + | 13.9117i | 0.0177041 | + | 0.894277i | ||||
\(243\) | −0.707107 | − | 0.707107i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | −9.19626 | − | 24.9031i | −0.588730 | − | 1.59426i | ||||
\(245\) | 3.58390 | + | 14.4888i | 0.228967 | + | 0.925658i | ||||
\(246\) | −0.857338 | + | 6.20566i | −0.0546619 | + | 0.395659i | ||||
\(247\) | 2.64174 | + | 1.34603i | 0.168090 | + | 0.0856461i | ||||
\(248\) | −8.54860 | − | 21.8107i | −0.542837 | − | 1.38498i | ||||
\(249\) | − | 8.95430i | − | 0.567456i | ||||||
\(250\) | −14.3515 | + | 6.63585i | −0.907668 | + | 0.419688i | ||||
\(251\) | − | 13.1418i | − | 0.829505i | −0.909934 | − | 0.414753i | \(-0.863868\pi\) | ||
0.909934 | − | 0.414753i | \(-0.136132\pi\) | |||||||
\(252\) | −0.837649 | − | 0.773819i | −0.0527669 | − | 0.0487460i | ||||
\(253\) | 2.69501 | + | 1.37318i | 0.169434 | + | 0.0863308i | ||||
\(254\) | −27.8151 | − | 3.84277i | −1.74527 | − | 0.241117i | ||||
\(255\) | 0.682048 | + | 2.75735i | 0.0427115 | + | 0.172672i | ||||
\(256\) | −11.2993 | + | 11.3281i | −0.706204 | + | 0.708009i | ||||
\(257\) | 11.0515 | + | 11.0515i | 0.689375 | + | 0.689375i | 0.962094 | − | 0.272719i | \(-0.0879230\pi\) |
−0.272719 | + | 0.962094i | \(0.587923\pi\) | |||||||
\(258\) | 5.45739 | − | 0.108040i | 0.339762 | − | 0.00672630i | ||||
\(259\) | −0.257387 | + | 0.187003i | −0.0159932 | + | 0.0116198i | ||||
\(260\) | −9.23319 | + | 16.7687i | −0.572618 | + | 1.03995i | ||||
\(261\) | −4.66538 | − | 3.38959i | −0.288779 | − | 0.209811i | ||||
\(262\) | 26.4265 | + | 18.4120i | 1.63264 | + | 1.13750i | ||||
\(263\) | 13.8057 | + | 2.18660i | 0.851294 | + | 0.134832i | 0.566810 | − | 0.823849i | \(-0.308178\pi\) |
0.284485 | + | 0.958681i | \(0.408178\pi\) | |||||||
\(264\) | 5.16868 | − | 11.8320i | 0.318111 | − | 0.728210i | ||||
\(265\) | 18.7295 | + | 4.36069i | 1.15054 | + | 0.267875i | ||||
\(266\) | 0.0982770 | + | 0.549826i | 0.00602575 | + | 0.0337120i | ||||
\(267\) | 2.35577 | + | 4.62346i | 0.144171 | + | 0.282951i | ||||
\(268\) | 2.17281 | − | 18.4083i | 0.132725 | − | 1.12446i | ||||
\(269\) | −5.95656 | − | 1.93540i | −0.363178 | − | 0.118004i | 0.121743 | − | 0.992562i | \(-0.461152\pi\) |
−0.484921 | + | 0.874558i | \(0.661152\pi\) | |||||||
\(270\) | −3.14479 | + | 0.332070i | −0.191386 | + | 0.0202091i | ||||
\(271\) | −19.0797 | + | 6.19936i | −1.15901 | + | 0.376584i | −0.824529 | − | 0.565820i | \(-0.808560\pi\) |
−0.334478 | + | 0.942404i | \(0.608560\pi\) | |||||||
\(272\) | 3.86585 | + | 3.29748i | 0.234401 | + | 0.199939i | ||||
\(273\) | −2.41059 | + | 0.381800i | −0.145896 | + | 0.0231076i | ||||
\(274\) | 21.2796 | + | 10.3172i | 1.28555 | + | 0.623282i | ||||
\(275\) | 3.26054 | − | 22.5908i | 0.196618 | − | 1.36228i | ||||
\(276\) | −0.820736 | − | 1.04042i | −0.0494025 | − | 0.0626257i | ||||
\(277\) | 1.56268 | + | 9.86635i | 0.0938922 | + | 0.592812i | 0.989109 | + | 0.147182i | \(0.0470203\pi\) |
−0.895217 | + | 0.445630i | \(0.852980\pi\) | |||||||
\(278\) | 1.04642 | + | 1.38190i | 0.0627600 | + | 0.0828809i | ||||
\(279\) | −2.55941 | − | 7.87705i | −0.153228 | − | 0.471586i | ||||
\(280\) | −3.56844 | + | 0.520325i | −0.213255 | + | 0.0310954i | ||||
\(281\) | −8.65459 | + | 26.6361i | −0.516290 | + | 1.58898i | 0.264633 | + | 0.964349i | \(0.414749\pi\) |
−0.780923 | + | 0.624627i | \(0.785251\pi\) | |||||||
\(282\) | −13.5942 | + | 4.71650i | −0.809525 | + | 0.280863i | ||||
\(283\) | 8.54906 | − | 4.35596i | 0.508189 | − | 0.258935i | −0.181044 | − | 0.983475i | \(-0.557948\pi\) |
0.689233 | + | 0.724540i | \(0.257948\pi\) | |||||||
\(284\) | 3.46290 | + | 0.975447i | 0.205485 | + | 0.0578821i | ||||
\(285\) | 1.32613 | + | 0.800178i | 0.0785534 | + | 0.0473984i | ||||
\(286\) | −13.0303 | − | 24.3687i | −0.770500 | − | 1.44095i | ||||
\(287\) | −0.395119 | + | 2.49468i | −0.0233232 | + | 0.147257i | ||||
\(288\) | −4.22555 | + | 3.76095i | −0.248993 | + | 0.221616i | ||||
\(289\) | −9.04388 | + | 12.4478i | −0.531993 | + | 0.732225i | ||||
\(290\) | −17.6123 | + | 4.72834i | −1.03423 | + | 0.277658i | ||||
\(291\) | 7.43382 | + | 10.2318i | 0.435778 | + | 0.599797i | ||||
\(292\) | −12.7896 | − | 5.89113i | −0.748454 | − | 0.344752i | ||||
\(293\) | −0.365499 | + | 0.365499i | −0.0213527 | + | 0.0213527i | −0.717703 | − | 0.696350i | \(-0.754806\pi\) |
0.696350 | + | 0.717703i | \(0.254806\pi\) | |||||||
\(294\) | 6.80570 | + | 6.54146i | 0.396916 | + | 0.381506i | ||||
\(295\) | −10.2014 | + | 12.1119i | −0.593951 | + | 0.705180i | ||||
\(296\) | 0.798671 | + | 1.36117i | 0.0464218 | + | 0.0791164i | ||||
\(297\) | 2.07245 | − | 4.06742i | 0.120256 | − | 0.236016i | ||||
\(298\) | −5.72970 | + | 18.8992i | −0.331913 | + | 1.09480i | ||||
\(299\) | −2.83614 | −0.164018 | ||||||||
\(300\) | −5.43827 | + | 8.39197i | −0.313979 | + | 0.484511i | ||||
\(301\) | 2.20076 | 0.126850 | ||||||||
\(302\) | 7.92060 | − | 26.1257i | 0.455780 | − | 1.50337i | ||||
\(303\) | 8.42988 | − | 16.5446i | 0.484284 | − | 0.950461i | ||||
\(304\) | 2.76198 | − | 0.219146i | 0.158410 | − | 0.0125689i | ||||
\(305\) | −27.4984 | − | 11.1695i | −1.57455 | − | 0.639565i | ||||
\(306\) | 1.29518 | + | 1.24490i | 0.0740407 | + | 0.0711660i | ||||
\(307\) | 7.86266 | − | 7.86266i | 0.448745 | − | 0.448745i | −0.446192 | − | 0.894937i | \(-0.647220\pi\) |
0.894937 | + | 0.446192i | \(0.147220\pi\) | |||||||
\(308\) | 2.17794 | − | 4.72828i | 0.124100 | − | 0.269419i | ||||
\(309\) | 4.40835 | + | 6.06757i | 0.250782 | + | 0.345172i | ||||
\(310\) | −24.4562 | − | 9.37429i | −1.38902 | − | 0.532424i | ||||
\(311\) | 11.2964 | − | 15.5482i | 0.640562 | − | 0.881658i | −0.358084 | − | 0.933689i | \(-0.616570\pi\) |
0.998645 | + | 0.0520319i | \(0.0165698\pi\) | |||||||
\(312\) | 0.718525 | + | 12.0855i | 0.0406784 | + | 0.684208i | ||||
\(313\) | 1.18066 | − | 7.45438i | 0.0667347 | − | 0.421346i | −0.931591 | − | 0.363508i | \(-0.881579\pi\) |
0.998326 | − | 0.0578387i | \(-0.0184209\pi\) | |||||||
\(314\) | −10.9631 | − | 20.5026i | −0.618683 | − | 1.15703i | ||||
\(315\) | −1.27033 | + | 0.108762i | −0.0715749 | + | 0.00612806i | ||||
\(316\) | −4.15190 | + | 14.7395i | −0.233562 | + | 0.829162i | ||||
\(317\) | 10.8062 | − | 5.50604i | 0.606937 | − | 0.309250i | −0.123379 | − | 0.992360i | \(-0.539373\pi\) |
0.730316 | + | 0.683110i | \(0.239373\pi\) | |||||||
\(318\) | 11.4905 | − | 3.98660i | 0.644353 | − | 0.223557i | ||||
\(319\) | 8.13485 | − | 25.0365i | 0.455464 | − | 1.40177i | ||||
\(320\) | 0.842175 | + | 17.8687i | 0.0470790 | + | 0.998891i | ||||
\(321\) | −0.353250 | − | 1.08719i | −0.0197165 | − | 0.0606811i | ||||
\(322\) | −0.322539 | − | 0.425945i | −0.0179744 | − | 0.0237370i | ||||
\(323\) | −0.137644 | − | 0.869050i | −0.00765872 | − | 0.0483553i | ||||
\(324\) | −1.57024 | + | 1.23869i | −0.0872355 | + | 0.0688161i | ||||
\(325\) | 6.89263 | + | 20.2618i | 0.382334 | + | 1.12392i | ||||
\(326\) | 22.3973 | + | 10.8591i | 1.24047 | + | 0.601428i | ||||
\(327\) | 17.7638 | − | 2.81351i | 0.982339 | − | 0.155587i | ||||
\(328\) | 12.1248 | + | 3.15772i | 0.669478 | + | 0.174356i | ||||
\(329\) | −5.51753 | + | 1.79275i | −0.304191 | + | 0.0988377i | ||||
\(330\) | −5.87791 | − | 13.1848i | −0.323569 | − | 0.725801i | ||||
\(331\) | −1.45790 | − | 0.473702i | −0.0801336 | − | 0.0260370i | 0.268676 | − | 0.963231i | \(-0.413414\pi\) |
−0.348809 | + | 0.937194i | \(0.613414\pi\) | |||||||
\(332\) | −17.7851 | − | 2.09926i | −0.976086 | − | 0.115212i | ||||
\(333\) | 0.253314 | + | 0.497156i | 0.0138815 | + | 0.0272440i | ||||
\(334\) | −1.66978 | − | 9.34182i | −0.0913661 | − | 0.511162i | ||||
\(335\) | −13.5670 | − | 15.6658i | −0.741247 | − | 0.855913i | ||||
\(336\) | −1.73335 | + | 1.48233i | −0.0945619 | + | 0.0808679i | ||||
\(337\) | 1.08031 | + | 0.171104i | 0.0588481 | + | 0.00932062i | 0.185789 | − | 0.982590i | \(-0.440516\pi\) |
−0.126941 | + | 0.991910i | \(0.540516\pi\) | |||||||
\(338\) | 6.17540 | + | 4.30255i | 0.335898 | + | 0.234028i | ||||
\(339\) | −9.55533 | − | 6.94235i | −0.518974 | − | 0.377057i | ||||
\(340\) | 5.63658 | − | 0.708255i | 0.305687 | − | 0.0384105i | ||||
\(341\) | 30.5881 | − | 22.2236i | 1.65644 | − | 1.20347i | ||||
\(342\) | 0.979383 | − | 0.0193889i | 0.0529590 | − | 0.00104843i | ||||
\(343\) | 5.51348 | + | 5.51348i | 0.297700 | + | 0.297700i | ||||
\(344\) | 1.06485 | − | 10.8649i | 0.0574126 | − | 0.585794i | ||||
\(345\) | −1.47778 | − | 0.106095i | −0.0795610 | − | 0.00571196i | ||||
\(346\) | 1.38153 | + | 0.190865i | 0.0742717 | + | 0.0102609i | ||||
\(347\) | −20.4311 | − | 10.4102i | −1.09680 | − | 0.558846i | −0.190586 | − | 0.981670i | \(-0.561039\pi\) |
−0.906212 | + | 0.422824i | \(0.861039\pi\) | |||||||
\(348\) | −7.82621 | + | 8.47176i | −0.419529 | + | 0.454134i | ||||
\(349\) | 20.7955i | 1.11316i | 0.830795 | + | 0.556578i | \(0.187886\pi\) | ||||
−0.830795 | + | 0.556578i | \(0.812114\pi\) | |||||||
\(350\) | −2.25916 | + | 3.33944i | −0.120757 | + | 0.178500i | ||||
\(351\) | 4.28042i | 0.228472i | ||||||||
\(352\) | −22.2891 | − | 13.0400i | −1.18801 | − | 0.695035i | ||||
\(353\) | 20.9677 | + | 10.6836i | 1.11600 | + | 0.568628i | 0.911937 | − | 0.410330i | \(-0.134587\pi\) |
0.204059 | + | 0.978959i | \(0.434587\pi\) | |||||||
\(354\) | −1.37064 | + | 9.92109i | −0.0728487 | + | 0.527300i | ||||
\(355\) | 3.41507 | − | 2.12516i | 0.181253 | − | 0.112792i | ||||
\(356\) | 9.73545 | − | 3.59513i | 0.515978 | − | 0.190541i | ||||
\(357\) | 0.512159 | + | 0.512159i | 0.0271063 | + | 0.0271063i | ||||
\(358\) | −0.460379 | − | 23.2549i | −0.0243318 | − | 1.22906i | ||||
\(359\) | 28.2460 | − | 20.5219i | 1.49077 | − | 1.08311i | 0.516885 | − | 0.856055i | \(-0.327092\pi\) |
0.973883 | − | 0.227051i | \(-0.0729084\pi\) | |||||||
\(360\) | −0.0777078 | + | 6.32408i | −0.00409556 | + | 0.333308i | ||||
\(361\) | 14.9832 | + | 10.8859i | 0.788588 | + | 0.572943i | ||||
\(362\) | 18.4544 | − | 26.4873i | 0.969940 | − | 1.39214i | ||||
\(363\) | 9.71784 | + | 1.53916i | 0.510055 | + | 0.0807847i | ||||
\(364\) | 0.193194 | + | 4.87745i | 0.0101261 | + | 0.255648i | ||||
\(365\) | −14.5031 | + | 6.12443i | −0.759127 | + | 0.320568i | ||||
\(366\) | −18.4786 | + | 3.30290i | −0.965891 | + | 0.172645i | ||||
\(367\) | 7.31720 | + | 14.3608i | 0.381955 | + | 0.749628i | 0.999313 | − | 0.0370536i | \(-0.0117972\pi\) |
−0.617359 | + | 0.786682i | \(0.711797\pi\) | |||||||
\(368\) | −2.25890 | + | 1.38624i | −0.117753 | + | 0.0722627i | ||||
\(369\) | 4.21294 | + | 1.36887i | 0.219317 | + | 0.0712604i | ||||
\(370\) | 1.72608 | + | 0.366017i | 0.0897346 | + | 0.0190283i | ||||
\(371\) | 4.66366 | − | 1.51531i | 0.242125 | − | 0.0786712i | ||||
\(372\) | −16.2455 | + | 3.23682i | −0.842291 | + | 0.167821i | ||||
\(373\) | −11.3634 | + | 1.79978i | −0.588373 | + | 0.0931891i | −0.443520 | − | 0.896264i | \(-0.646271\pi\) |
−0.144852 | + | 0.989453i | \(0.546271\pi\) | |||||||
\(374\) | −3.57772 | + | 7.37922i | −0.185000 | + | 0.381570i | ||||
\(375\) | 2.83347 | + | 10.8153i | 0.146320 | + | 0.558501i | ||||
\(376\) | 6.18092 | + | 28.1068i | 0.318757 | + | 1.44950i | ||||
\(377\) | 3.86143 | + | 24.3801i | 0.198874 | + | 1.25564i | ||||
\(378\) | −0.642854 | + | 0.486789i | −0.0330649 | + | 0.0250377i | ||||
\(379\) | 3.02441 | + | 9.30816i | 0.155353 | + | 0.478128i | 0.998197 | − | 0.0600309i | \(-0.0191199\pi\) |
−0.842843 | + | 0.538159i | \(0.819120\pi\) | |||||||
\(380\) | 1.90022 | − | 2.44639i | 0.0974794 | − | 0.125497i | ||||
\(381\) | −6.13555 | + | 18.8833i | −0.314334 | + | 0.967420i | ||||
\(382\) | −4.02202 | − | 11.5926i | −0.205784 | − | 0.593127i | ||||
\(383\) | −14.8289 | + | 7.55569i | −0.757720 | + | 0.386078i | −0.789766 | − | 0.613409i | \(-0.789798\pi\) |
0.0320454 | + | 0.999486i | \(0.489798\pi\) | |||||||
\(384\) | 6.47940 | + | 9.27455i | 0.330651 | + | 0.473290i | ||||
\(385\) | −2.26419 | − | 5.36176i | −0.115394 | − | 0.273261i | ||||
\(386\) | −6.36419 | + | 3.40304i | −0.323929 | + | 0.173210i | ||||
\(387\) | 0.603792 | − | 3.81219i | 0.0306925 | − | 0.193785i | ||||
\(388\) | 22.0653 | − | 12.3664i | 1.12019 | − | 0.627808i | ||||
\(389\) | 8.71062 | − | 11.9891i | 0.441646 | − | 0.607873i | −0.528931 | − | 0.848665i | \(-0.677407\pi\) |
0.970577 | + | 0.240792i | \(0.0774070\pi\) | |||||||
\(390\) | 10.5235 | + | 8.51331i | 0.532877 | + | 0.431088i | ||||
\(391\) | 0.494723 | + | 0.680928i | 0.0250192 | + | 0.0344360i | ||||
\(392\) | 14.5883 | − | 11.9840i | 0.736819 | − | 0.605282i | ||||
\(393\) | 16.1041 | − | 16.1041i | 0.812342 | − | 0.812342i | ||||
\(394\) | −11.3805 | + | 11.8402i | −0.573343 | + | 0.596502i | ||||
\(395\) | 9.04555 | + | 14.5359i | 0.455131 | + | 0.731381i | ||||
\(396\) | −7.59289 | − | 5.06990i | −0.381557 | − | 0.254772i | ||||
\(397\) | 16.9966 | − | 33.3577i | 0.853034 | − | 1.67417i | 0.121267 | − | 0.992620i | \(-0.461304\pi\) |
0.731768 | − | 0.681554i | \(-0.238696\pi\) | |||||||
\(398\) | 1.72079 | + | 0.521695i | 0.0862552 | + | 0.0261502i | ||||
\(399\) | 0.394948 | 0.0197721 | ||||||||
\(400\) | 15.3933 | + | 12.7690i | 0.769664 | + | 0.638449i | ||||
\(401\) | 6.38092 | 0.318648 | 0.159324 | − | 0.987226i | \(-0.449069\pi\) | ||||
0.159324 | + | 0.987226i | \(0.449069\pi\) | |||||||
\(402\) | −12.5432 | − | 3.80275i | −0.625597 | − | 0.189664i | ||||
\(403\) | −16.0950 | + | 31.5882i | −0.801748 | + | 1.57352i | ||||
\(404\) | −30.8847 | − | 20.6223i | −1.53657 | − | 1.02600i | ||||
\(405\) | −0.160123 | + | 2.23033i | −0.00795657 | + | 0.110826i | ||||
\(406\) | −3.22238 | + | 3.35254i | −0.159924 | + | 0.166384i | ||||
\(407\) | −1.80109 | + | 1.80109i | −0.0892767 | + | 0.0892767i | ||||
\(408\) | 2.77627 | − | 2.28065i | 0.137446 | − | 0.112909i | ||||
\(409\) | 7.75145 | + | 10.6690i | 0.383285 | + | 0.527546i | 0.956451 | − | 0.291893i | \(-0.0942851\pi\) |
−0.573166 | + | 0.819439i | \(0.694285\pi\) | |||||||
\(410\) | 11.7445 | − | 7.63503i | 0.580018 | − | 0.377067i | ||||
\(411\) | 9.82907 | − | 13.5286i | 0.484832 | − | 0.667315i | ||||
\(412\) | 13.0850 | − | 7.33343i | 0.644651 | − | 0.361292i | ||||
\(413\) | −0.631683 | + | 3.98829i | −0.0310831 | + | 0.196251i | ||||
\(414\) | −0.826321 | + | 0.441847i | −0.0406115 | + | 0.0217156i | ||||
\(415\) | −15.1355 | + | 13.1078i | −0.742972 | + | 0.643437i | ||||
\(416\) | 24.1729 | + | 1.40620i | 1.18517 | + | 0.0689447i | ||||
\(417\) | 1.09210 | − | 0.556452i | 0.0534803 | − | 0.0272496i | ||||
\(418\) | 1.46575 | + | 4.22469i | 0.0716921 | + | 0.206636i | ||||
\(419\) | −1.32767 | + | 4.08615i | −0.0648610 | + | 0.199622i | −0.978235 | − | 0.207500i | \(-0.933467\pi\) |
0.913374 | + | 0.407121i | \(0.133467\pi\) | |||||||
\(420\) | −0.0817922 | + | 2.54864i | −0.00399105 | + | 0.124361i | ||||
\(421\) | −1.80550 | − | 5.55676i | −0.0879948 | − | 0.270820i | 0.897370 | − | 0.441279i | \(-0.145475\pi\) |
−0.985365 | + | 0.170459i | \(0.945475\pi\) | |||||||
\(422\) | 4.92634 | − | 3.73038i | 0.239810 | − | 0.181592i | ||||
\(423\) | 1.59167 | + | 10.0494i | 0.0773897 | + | 0.488620i | ||||
\(424\) | −5.22439 | − | 23.7571i | −0.253719 | − | 1.15375i | ||||
\(425\) | 3.66234 | − | 5.18923i | 0.177650 | − | 0.251715i | ||||
\(426\) | 1.10983 | − | 2.28908i | 0.0537715 | − | 0.110906i | ||||
\(427\) | −7.47515 | + | 1.18395i | −0.361748 | + | 0.0572952i | ||||
\(428\) | −2.24221 | + | 0.446746i | −0.108381 | + | 0.0215943i | ||||
\(429\) | −18.5837 | + | 6.03819i | −0.897227 | + | 0.291527i | ||||
\(430\) | −8.17145 | − | 9.06649i | −0.394062 | − | 0.437225i | ||||
\(431\) | −2.92353 | − | 0.949912i | −0.140821 | − | 0.0457556i | 0.237758 | − | 0.971324i | \(-0.423587\pi\) |
−0.378580 | + | 0.925569i | \(0.623587\pi\) | |||||||
\(432\) | 2.09217 | + | 3.40923i | 0.100660 | + | 0.164026i | ||||
\(433\) | −12.4138 | − | 24.3634i | −0.596568 | − | 1.17083i | −0.969984 | − | 0.243167i | \(-0.921814\pi\) |
0.373416 | − | 0.927664i | \(-0.378186\pi\) | |||||||
\(434\) | −6.57446 | + | 1.17513i | −0.315584 | + | 0.0564081i | ||||
\(435\) | 1.09999 | + | 12.8478i | 0.0527407 | + | 0.616004i | ||||
\(436\) | −1.42366 | − | 35.9422i | −0.0681809 | − | 1.72132i | ||||
\(437\) | 0.453298 | + | 0.0717953i | 0.0216842 | + | 0.00343444i | ||||
\(438\) | −5.69192 | + | 8.16954i | −0.271970 | + | 0.390356i | ||||
\(439\) | −19.5015 | − | 14.1687i | −0.930757 | − | 0.676235i | 0.0154210 | − | 0.999881i | \(-0.495091\pi\) |
−0.946178 | + | 0.323646i | \(0.895091\pi\) | |||||||
\(440\) | −27.5659 | + | 8.58372i | −1.31415 | + | 0.409213i | ||||
\(441\) | 5.40010 | − | 3.92340i | 0.257147 | − | 0.186829i | ||||
\(442\) | −0.152202 | − | 7.68810i | −0.00723950 | − | 0.365686i | ||||
\(443\) | 17.8280 | + | 17.8280i | 0.847032 | + | 0.847032i | 0.989762 | − | 0.142730i | \(-0.0455881\pi\) |
−0.142730 | + | 0.989762i | \(0.545588\pi\) | |||||||
\(444\) | 1.04684 | − | 0.386581i | 0.0496810 | − | 0.0183463i | ||||
\(445\) | 4.36654 | − | 10.7500i | 0.206994 | − | 0.509601i | ||||
\(446\) | −2.22036 | + | 16.0716i | −0.105137 | + | 0.761014i | ||||
\(447\) | 12.4424 | + | 6.33969i | 0.588503 | + | 0.299857i | ||||
\(448\) | 2.53786 | + | 3.79031i | 0.119903 | + | 0.179076i | ||||
\(449\) | − | 10.8433i | − | 0.511725i | −0.966713 | − | 0.255862i | \(-0.917641\pi\) | ||
0.966713 | − | 0.255862i | \(-0.0823594\pi\) | |||||||
\(450\) | 5.16482 | + | 4.82955i | 0.243472 | + | 0.227667i | ||||
\(451\) | 20.2217i | 0.952201i | ||||||||
\(452\) | −16.0291 | + | 17.3513i | −0.753948 | + | 0.816138i | ||||
\(453\) | −17.2000 | − | 8.76384i | −0.808127 | − | 0.411761i | ||||
\(454\) | 41.9960 | + | 5.80192i | 1.97097 | + | 0.272298i | ||||
\(455\) | 4.17411 | + | 3.51573i | 0.195686 | + | 0.164820i | ||||
\(456\) | 0.191097 | − | 1.94981i | 0.00894894 | − | 0.0913081i | ||||
\(457\) | −10.7529 | − | 10.7529i | −0.502999 | − | 0.502999i | 0.409369 | − | 0.912369i | \(-0.365749\pi\) |
−0.912369 | + | 0.409369i | \(0.865749\pi\) | |||||||
\(458\) | −1.22597 | + | 0.0242707i | −0.0572860 | + | 0.00113410i | ||||
\(459\) | 1.02769 | − | 0.746657i | 0.0479682 | − | 0.0348510i | ||||
\(460\) | −0.557179 | + | 2.91031i | −0.0259786 | + | 0.135694i | ||||
\(461\) | −6.99954 | − | 5.08547i | −0.326001 | − | 0.236854i | 0.412731 | − | 0.910853i | \(-0.364575\pi\) |
−0.738732 | + | 0.673999i | \(0.764575\pi\) | |||||||
\(462\) | −3.02026 | − | 2.10429i | −0.140515 | − | 0.0979005i | ||||
\(463\) | −6.98414 | − | 1.10618i | −0.324581 | − | 0.0514085i | −0.00798209 | − | 0.999968i | \(-0.502541\pi\) |
−0.316599 | + | 0.948560i | \(0.602541\pi\) | |||||||
\(464\) | 14.9919 | + | 17.5306i | 0.695983 | + | 0.813839i | ||||
\(465\) | −9.56800 | + | 15.8570i | −0.443705 | + | 0.735352i | ||||
\(466\) | 2.35586 | + | 13.1802i | 0.109133 | + | 0.610562i | ||||
\(467\) | 8.40547 | + | 16.4967i | 0.388959 | + | 0.763374i | 0.999593 | − | 0.0285385i | \(-0.00908532\pi\) |
−0.610634 | + | 0.791913i | \(0.709085\pi\) | |||||||
\(468\) | 8.50182 | + | 1.00351i | 0.392997 | + | 0.0463871i | ||||
\(469\) | −5.02586 | − | 1.63300i | −0.232073 | − | 0.0754050i | ||||
\(470\) | 27.8723 | + | 16.0741i | 1.28565 | + | 0.741443i | ||||
\(471\) | −15.6354 | + | 5.08024i | −0.720440 | + | 0.234085i | ||||
\(472\) | 19.3841 | + | 5.04829i | 0.892223 | + | 0.232367i | ||||
\(473\) | 17.4026 | − | 2.75630i | 0.800171 | − | 0.126735i | ||||
\(474\) | 9.74324 | + | 4.72389i | 0.447522 | + | 0.216975i | ||||
\(475\) | −0.588726 | − | 3.41291i | −0.0270126 | − | 0.156595i | ||||
\(476\) | 1.13733 | − | 0.897185i | 0.0521293 | − | 0.0411224i | ||||
\(477\) | −1.34535 | − | 8.49422i | −0.0615994 | − | 0.388924i | ||||
\(478\) | −9.44901 | − | 12.4784i | −0.432187 | − | 0.570747i | ||||
\(479\) | −7.81425 | − | 24.0498i | −0.357042 | − | 1.09886i | −0.954816 | − | 0.297198i | \(-0.903948\pi\) |
0.597774 | − | 0.801665i | \(-0.296052\pi\) | |||||||
\(480\) | 12.5427 | + | 1.63697i | 0.572495 | + | 0.0747170i | ||||
\(481\) | 0.738042 | − | 2.27146i | 0.0336518 | − | 0.103570i | ||||
\(482\) | 0.980158 | − | 0.340064i | 0.0446450 | − | 0.0154895i | ||||
\(483\) | −0.336619 | + | 0.171516i | −0.0153167 | + | 0.00780425i | ||||
\(484\) | 5.33535 | − | 18.9409i | 0.242516 | − | 0.860948i | ||||
\(485\) | 6.41276 | − | 27.5432i | 0.291189 | − | 1.25067i | ||||
\(486\) | 0.666855 | + | 1.24712i | 0.0302491 | + | 0.0565705i | ||||
\(487\) | −3.69540 | + | 23.3318i | −0.167455 | + | 1.05727i | 0.750584 | + | 0.660775i | \(0.229772\pi\) |
−0.918038 | + | 0.396491i | \(0.870228\pi\) | |||||||
\(488\) | 2.22812 | + | 37.4767i | 0.100862 | + | 1.69649i | ||||
\(489\) | 10.3453 | − | 14.2391i | 0.467833 | − | 0.643917i | ||||
\(490\) | 1.09450 | − | 21.0795i | 0.0494444 | − | 0.952273i | ||||
\(491\) | −14.0618 | − | 19.3544i | −0.634599 | − | 0.873451i | 0.363714 | − | 0.931511i | \(-0.381509\pi\) |
−0.998313 | + | 0.0580598i | \(0.981509\pi\) | |||||||
\(492\) | 3.70654 | − | 8.04687i | 0.167104 | − | 0.362781i | ||||
\(493\) | 5.17984 | − | 5.17984i | 0.233288 | − | 0.233288i | ||||
\(494\) | −3.02300 | − | 2.90563i | −0.136011 | − | 0.130730i | ||||
\(495\) | −9.90895 | + | 2.45104i | −0.445374 | + | 0.110166i | ||||
\(496\) | 2.62040 | + | 33.0259i | 0.117659 | + | 1.48291i | ||||
\(497\) | 0.465644 | − | 0.913879i | 0.0208870 | − | 0.0409931i | ||||
\(498\) | −3.67403 | + | 12.1186i | −0.164637 | + | 0.543048i | ||||
\(499\) | −3.20194 | −0.143339 | −0.0716693 | − | 0.997428i | \(-0.522833\pi\) | ||||
−0.0716693 | + | 0.997428i | \(0.522833\pi\) | |||||||
\(500\) | 22.1458 | − | 3.09231i | 0.990391 | − | 0.138292i | ||||
\(501\) | −6.71036 | −0.299797 | ||||||||
\(502\) | −5.39221 | + | 17.7859i | −0.240666 | + | 0.793825i | ||||
\(503\) | −5.20750 | + | 10.2203i | −0.232191 | + | 0.455701i | −0.977476 | − | 0.211045i | \(-0.932313\pi\) |
0.745285 | + | 0.666746i | \(0.232313\pi\) | |||||||
\(504\) | 0.816155 | + | 1.39097i | 0.0363544 | + | 0.0619586i | ||||
\(505\) | −40.3055 | + | 9.96981i | −1.79357 | + | 0.443651i | ||||
\(506\) | −3.08396 | − | 2.96422i | −0.137099 | − | 0.131776i | ||||
\(507\) | 3.76323 | − | 3.76323i | 0.167131 | − | 0.167131i | ||||
\(508\) | 36.0678 | + | 16.6135i | 1.60025 | + | 0.737106i | ||||
\(509\) | 13.6267 | + | 18.7556i | 0.603994 | + | 0.831327i | 0.996067 | − | 0.0886075i | \(-0.0282417\pi\) |
−0.392072 | + | 0.919934i | \(0.628242\pi\) | |||||||
\(510\) | 0.208293 | − | 4.01160i | 0.00922335 | − | 0.177637i | ||||
\(511\) | −2.35963 | + | 3.24775i | −0.104384 | + | 0.143672i | ||||
\(512\) | 19.9403 | − | 10.6951i | 0.881244 | − | 0.472662i | ||||
\(513\) | 0.108357 | − | 0.684136i | 0.00478406 | − | 0.0302053i | ||||
\(514\) | −10.4224 | − | 19.4915i | −0.459713 | − | 0.859732i | ||||
\(515\) | 3.80285 | − | 16.3335i | 0.167574 | − | 0.719740i | ||||
\(516\) | −7.43027 | − | 2.09299i | −0.327099 | − | 0.0921389i | ||||
\(517\) | −41.3847 | + | 21.0866i | −1.82010 | + | 0.927387i | ||||
\(518\) | 0.425072 | − | 0.147478i | 0.0186766 | − | 0.00647982i | ||||
\(519\) | 0.304743 | − | 0.937904i | 0.0133767 | − | 0.0411694i | ||||
\(520\) | 19.3764 | − | 18.9060i | 0.849711 | − | 0.829082i | ||||
\(521\) | −4.78400 | − | 14.7236i | −0.209591 | − | 0.645054i | −0.999494 | − | 0.0318218i | \(-0.989869\pi\) |
0.789903 | − | 0.613232i | \(-0.210131\pi\) | |||||||
\(522\) | 4.92326 | + | 6.50166i | 0.215485 | + | 0.284570i | ||||
\(523\) | −1.35911 | − | 8.58111i | −0.0594299 | − | 0.375226i | −0.999421 | − | 0.0340265i | \(-0.989167\pi\) |
0.939991 | − | 0.341199i | \(-0.110833\pi\) | |||||||
\(524\) | −28.2106 | − | 35.7615i | −1.23239 | − | 1.56225i | ||||
\(525\) | 2.04342 | + | 1.98803i | 0.0891821 | + | 0.0867647i | ||||
\(526\) | −17.7872 | − | 8.62390i | −0.775558 | − | 0.376020i | ||||
\(527\) | 10.3915 | − | 1.64586i | 0.452662 | − | 0.0716946i | ||||
\(528\) | −11.8500 | + | 13.8925i | −0.515705 | + | 0.604593i | ||||
\(529\) | 21.4568 | − | 6.97173i | 0.932903 | − | 0.303119i | ||||
\(530\) | −23.5589 | − | 13.5866i | −1.02333 | − | 0.590162i | ||||
\(531\) | 6.73529 | + | 2.18843i | 0.292287 | + | 0.0949697i | ||||
\(532\) | 0.0925920 | − | 0.784450i | 0.00401437 | − | 0.0340102i | ||||
\(533\) | −8.60819 | − | 16.8945i | −0.372862 | − | 0.731783i | ||||
\(534\) | −1.29121 | − | 7.22390i | −0.0558763 | − | 0.312609i | ||||
\(535\) | −1.32058 | + | 2.18859i | −0.0570935 | + | 0.0946210i | ||||
\(536\) | −10.4937 | + | 24.0219i | −0.453259 | + | 1.03759i | ||||
\(537\) | −16.2445 | − | 2.57287i | −0.701000 | − | 0.111027i | ||||
\(538\) | 7.26739 | + | 5.06337i | 0.313319 | + | 0.218297i | ||||
\(539\) | 24.6513 | + | 17.9102i | 1.06181 | + | 0.771448i | ||||
\(540\) | 4.39236 | + | 0.840918i | 0.189017 | + | 0.0361874i | ||||
\(541\) | 30.7034 | − | 22.3073i | 1.32004 | − | 0.959067i | 0.320111 | − | 0.947380i | \(-0.396280\pi\) |
0.999932 | − | 0.0116875i | \(-0.00372033\pi\) | |||||||
\(542\) | 28.3657 | − | 0.561559i | 1.21841 | − | 0.0241210i | ||||
\(543\) | −16.1411 | − | 16.1411i | −0.692682 | − | 0.692682i | ||||
\(544\) | −3.87899 | − | 6.04895i | −0.166310 | − | 0.259346i | ||||
\(545\) | −30.7593 | − | 25.9076i | −1.31758 | − | 1.10976i | ||||
\(546\) | 3.41911 | + | 0.472364i | 0.146324 | + | 0.0202153i | ||||
\(547\) | −12.8211 | − | 6.53267i | −0.548190 | − | 0.279317i | 0.157881 | − | 0.987458i | \(-0.449534\pi\) |
−0.706071 | + | 0.708141i | \(0.749534\pi\) | |||||||
\(548\) | −24.5662 | − | 22.6943i | −1.04942 | − | 0.969451i | ||||
\(549\) | 13.2734i | 0.566496i | ||||||||
\(550\) | −13.6820 | + | 29.2362i | −0.583401 | + | 1.24663i | ||||
\(551\) | − | 3.99440i | − | 0.170167i | ||||||
\(552\) | 0.683879 | + | 1.74484i | 0.0291078 | + | 0.0742652i | ||||
\(553\) | 3.88984 | + | 1.98197i | 0.165413 | + | 0.0842820i | ||||
\(554\) | 1.93335 | − | 13.9941i | 0.0821401 | − | 0.594554i | ||||
\(555\) | 0.469530 | − | 1.15594i | 0.0199304 | − | 0.0490670i | ||||
\(556\) | −0.849199 | − | 2.29960i | −0.0360141 | − | 0.0975246i | ||||
\(557\) | 22.6217 | + | 22.6217i | 0.958513 | + | 0.958513i | 0.999173 | − | 0.0406596i | \(-0.0129459\pi\) |
−0.0406596 | + | 0.999173i | \(0.512946\pi\) | |||||||
\(558\) | 0.231840 | + | 11.7108i | 0.00981456 | + | 0.495758i | ||||
\(559\) | −13.3659 | + | 9.71092i | −0.565319 | + | 0.410728i | ||||
\(560\) | 5.04296 | + | 0.759962i | 0.213104 | + | 0.0321143i | ||||
\(561\) | 4.69136 | + | 3.40847i | 0.198069 | + | 0.143906i | ||||
\(562\) | 22.6420 | − | 32.4978i | 0.955095 | − | 1.37084i | ||||
\(563\) | −33.9090 | − | 5.37066i | −1.42909 | − | 0.226346i | −0.606549 | − | 0.795046i | \(-0.707447\pi\) |
−0.822545 | + | 0.568700i | \(0.807447\pi\) | |||||||
\(564\) | 20.3334 | − | 0.805400i | 0.856192 | − | 0.0339135i | ||||
\(565\) | 2.25294 | + | 26.3140i | 0.0947819 | + | 1.10704i | ||||
\(566\) | −13.3574 | + | 2.38754i | −0.561455 | + | 0.100356i | ||||
\(567\) | 0.258859 | + | 0.508040i | 0.0108711 | + | 0.0213357i | ||||
\(568\) | −4.28640 | − | 2.74101i | −0.179853 | − | 0.115010i | ||||
\(569\) | −13.8272 | − | 4.49274i | −0.579667 | − | 0.188345i | 0.00448435 | − | 0.999990i | \(-0.498573\pi\) |
−0.584151 | + | 0.811645i | \(0.698573\pi\) | |||||||
\(570\) | −1.46645 | − | 1.62707i | −0.0614228 | − | 0.0681505i | ||||
\(571\) | 32.5728 | − | 10.5835i | 1.36313 | − | 0.442908i | 0.466043 | − | 0.884762i | \(-0.345679\pi\) |
0.897087 | + | 0.441854i | \(0.145679\pi\) | |||||||
\(572\) | 7.63636 | + | 38.3267i | 0.319292 | + | 1.60252i | ||||
\(573\) | −8.56970 | + | 1.35731i | −0.358004 | + | 0.0567023i | ||||
\(574\) | 1.55834 | − | 3.21414i | 0.0650438 | − | 0.134156i | ||||
\(575\) | 1.98392 | + | 2.65320i | 0.0827354 | + | 0.110646i | ||||
\(576\) | 7.26194 | − | 3.35623i | 0.302581 | − | 0.139843i | ||||
\(577\) | 4.65814 | + | 29.4103i | 0.193921 | + | 1.22437i | 0.872047 | + | 0.489422i | \(0.162792\pi\) |
−0.678126 | + | 0.734945i | \(0.737208\pi\) | |||||||
\(578\) | 17.3473 | − | 13.1359i | 0.721552 | − | 0.546382i | ||||
\(579\) | 1.57695 | + | 4.85335i | 0.0655358 | + | 0.201698i | ||||
\(580\) | 25.7763 | + | 0.827225i | 1.07030 | + | 0.0343487i | ||||
\(581\) | −1.57772 | + | 4.85574i | −0.0654550 | + | 0.201450i | ||||
\(582\) | −5.86262 | − | 16.8977i | −0.243013 | − | 0.700431i | ||||
\(583\) | 34.9802 | − | 17.8233i | 1.44873 | − | 0.738166i | ||||
\(584\) | 14.8920 | + | 13.2206i | 0.616236 | + | 0.547074i | ||||
\(585\) | 7.23521 | − | 6.26592i | 0.299139 | − | 0.259064i | ||||
\(586\) | 0.644627 | − | 0.344693i | 0.0266293 | − | 0.0142391i | ||||
\(587\) | 0.417161 | − | 2.63385i | 0.0172181 | − | 0.108711i | −0.977583 | − | 0.210553i | \(-0.932474\pi\) |
0.994801 | + | 0.101842i | \(0.0324736\pi\) | |||||||
\(588\) | −6.52670 | − | 11.6455i | −0.269157 | − | 0.480254i | ||||
\(589\) | 3.37208 | − | 4.64127i | 0.138944 | − | 0.191240i | ||||
\(590\) | 18.7761 | − | 12.2062i | 0.772999 | − | 0.502523i | ||||
\(591\) | 6.82575 | + | 9.39484i | 0.280774 | + | 0.386452i | ||||
\(592\) | −0.522408 | − | 2.16989i | −0.0214708 | − | 0.0891817i | ||||
\(593\) | −4.29407 | + | 4.29407i | −0.176336 | + | 0.176336i | −0.789757 | − | 0.613420i | \(-0.789793\pi\) |
0.613420 | + | 0.789757i | \(0.289793\pi\) | |||||||
\(594\) | −4.47372 | + | 4.65443i | −0.183559 | + | 0.190974i | ||||
\(595\) | 0.115977 | − | 1.61543i | 0.00475460 | − | 0.0662262i | ||||
\(596\) | 15.5090 | − | 23.2269i | 0.635272 | − | 0.951409i | ||||
\(597\) | 0.577235 | − | 1.13289i | 0.0236247 | − | 0.0463660i | ||||
\(598\) | 3.83839 | + | 1.16369i | 0.156963 | + | 0.0475869i | ||||
\(599\) | −1.90922 | −0.0780086 | −0.0390043 | − | 0.999239i | \(-0.512419\pi\) | ||||
−0.0390043 | + | 0.999239i | \(0.512419\pi\) | |||||||
\(600\) | 10.8034 | − | 9.12619i | 0.441046 | − | 0.372575i | ||||
\(601\) | −19.9000 | −0.811739 | −0.405869 | − | 0.913931i | \(-0.633031\pi\) | ||||
−0.405869 | + | 0.913931i | \(0.633031\pi\) | |||||||
\(602\) | −2.97847 | − | 0.902990i | −0.121393 | − | 0.0368031i | ||||
\(603\) | −4.20759 | + | 8.25787i | −0.171346 | + | 0.336286i | ||||
\(604\) | −21.4392 | + | 32.1082i | −0.872350 | + | 1.30647i | ||||
\(605\) | −11.6239 | − | 18.6792i | −0.472578 | − | 0.759418i | ||||
\(606\) | −18.1972 | + | 18.9323i | −0.739212 | + | 0.769072i | ||||
\(607\) | 6.68008 | − | 6.68008i | 0.271136 | − | 0.271136i | −0.558421 | − | 0.829557i | \(-0.688593\pi\) |
0.829557 | + | 0.558421i | \(0.188593\pi\) | |||||||
\(608\) | −3.82793 | − | 0.836674i | −0.155243 | − | 0.0339316i | ||||
\(609\) | 1.93270 | + | 2.66013i | 0.0783170 | + | 0.107794i | ||||
\(610\) | 32.6329 | + | 26.3995i | 1.32127 | + | 1.06888i | ||||
\(611\) | 25.5992 | − | 35.2343i | 1.03563 | − | 1.42543i | ||||
\(612\) | −1.24209 | − | 2.21625i | −0.0502084 | − | 0.0895865i | ||||
\(613\) | 1.64882 | − | 10.4102i | 0.0665950 | − | 0.420465i | −0.931757 | − | 0.363082i | \(-0.881725\pi\) |
0.998352 | − | 0.0573826i | \(-0.0182755\pi\) | |||||||
\(614\) | −13.8673 | + | 7.41507i | −0.559639 | + | 0.299248i | ||||
\(615\) | −3.85333 | − | 9.12497i | −0.155381 | − | 0.367954i | ||||
\(616\) | −4.88764 | + | 5.50555i | −0.196929 | + | 0.221825i | ||||
\(617\) | −33.5664 | + | 17.1029i | −1.35133 | + | 0.688538i | −0.971616 | − | 0.236564i | \(-0.923979\pi\) |
−0.379717 | + | 0.925103i | \(0.623979\pi\) | |||||||
\(618\) | −3.47661 | − | 10.0205i | −0.139850 | − | 0.403085i | ||||
\(619\) | −11.4354 | + | 35.1945i | −0.459627 | + | 1.41459i | 0.405989 | + | 0.913878i | \(0.366927\pi\) |
−0.865616 | + | 0.500708i | \(0.833073\pi\) | |||||||
\(620\) | 29.2523 | + | 22.7216i | 1.17480 | + | 0.912522i | ||||
\(621\) | 0.204750 | + | 0.630155i | 0.00821633 | + | 0.0252873i | ||||
\(622\) | −21.6680 | + | 16.4077i | −0.868806 | + | 0.657887i | ||||
\(623\) | −0.462845 | − | 2.92229i | −0.0185435 | − | 0.117079i | ||||
\(624\) | 3.98635 | − | 16.6512i | 0.159582 | − | 0.666580i | ||||
\(625\) | 14.1334 | − | 20.6215i | 0.565336 | − | 0.824860i | ||||
\(626\) | −4.65648 | + | 9.60420i | −0.186110 | + | 0.383861i | ||||
\(627\) | 3.12306 | − | 0.494644i | 0.124723 | − | 0.0197542i | ||||
\(628\) | 6.42486 | + | 32.2462i | 0.256380 | + | 1.28676i | ||||
\(629\) | −0.674095 | + | 0.219027i | −0.0268779 | + | 0.00873316i | ||||
\(630\) | 1.76387 | + | 0.374030i | 0.0702742 | + | 0.0149017i | ||||
\(631\) | 11.9182 | + | 3.87246i | 0.474456 | + | 0.154160i | 0.536477 | − | 0.843915i | \(-0.319755\pi\) |
−0.0620213 | + | 0.998075i | \(0.519755\pi\) | |||||||
\(632\) | 11.6669 | − | 18.2447i | 0.464083 | − | 0.725733i | ||||
\(633\) | −1.98370 | − | 3.89322i | −0.0788449 | − | 0.154742i | ||||
\(634\) | −16.8841 | + | 3.01790i | −0.670554 | + | 0.119856i | ||||
\(635\) | 40.9000 | − | 17.2715i | 1.62307 | − | 0.685397i | ||||
\(636\) | −17.1867 | + | 0.680760i | −0.681498 | + | 0.0269939i | ||||
\(637\) | −28.2196 | − | 4.46954i | −1.11810 | − | 0.177090i | ||||
\(638\) | −21.2823 | + | 30.5462i | −0.842573 | + | 1.20933i | ||||
\(639\) | −1.45529 | − | 1.05733i | −0.0575702 | − | 0.0418272i | ||||
\(640\) | 6.19190 | − | 24.5288i | 0.244756 | − | 0.969585i | ||||
\(641\) | 12.9136 | − | 9.38230i | 0.510058 | − | 0.370579i | −0.302788 | − | 0.953058i | \(-0.597917\pi\) |
0.812845 | + | 0.582479i | \(0.197917\pi\) | |||||||
\(642\) | 0.0319985 | + | 1.61633i | 0.00126288 | + | 0.0637913i | ||||
\(643\) | −18.8472 | − | 18.8472i | −0.743260 | − | 0.743260i | 0.229944 | − | 0.973204i | \(-0.426146\pi\) |
−0.973204 | + | 0.229944i | \(0.926146\pi\) | |||||||
\(644\) | 0.261750 | + | 0.708808i | 0.0103144 | + | 0.0279309i | ||||
\(645\) | −7.32763 | + | 4.55991i | −0.288525 | + | 0.179546i | ||||
\(646\) | −0.170294 | + | 1.23264i | −0.00670012 | + | 0.0484974i | ||||
\(647\) | 9.13665 | + | 4.65536i | 0.359199 | + | 0.183021i | 0.624271 | − | 0.781207i | \(-0.285396\pi\) |
−0.265073 | + | 0.964228i | \(0.585396\pi\) | |||||||
\(648\) | 2.63338 | − | 1.03214i | 0.103449 | − | 0.0405462i | ||||
\(649\) | 32.3287i | 1.26901i | ||||||||
\(650\) | −1.01477 | − | 30.2501i | −0.0398024 | − | 1.18651i | ||||
\(651\) | 4.72252i | 0.185090i | ||||||||
\(652\) | −25.8566 | − | 23.8863i | −1.01262 | − | 0.935459i | ||||
\(653\) | −16.6573 | − | 8.48730i | −0.651849 | − | 0.332134i | 0.0966028 | − | 0.995323i | \(-0.469202\pi\) |
−0.748452 | + | 0.663189i | \(0.769202\pi\) | |||||||
\(654\) | −25.1956 | − | 3.48088i | −0.985226 | − | 0.136113i | ||||
\(655\) | −50.7947 | − | 3.64673i | −1.98472 | − | 0.142489i | ||||
\(656\) | −15.1138 | − | 9.24850i | −0.590096 | − | 0.361093i | ||||
\(657\) | 4.97844 | + | 4.97844i | 0.194227 | + | 0.194227i | ||||
\(658\) | 8.20291 | − | 0.162394i | 0.319783 | − | 0.00633076i | ||||
\(659\) | 2.98224 | − | 2.16672i | 0.116171 | − | 0.0844035i | −0.528183 | − | 0.849131i | \(-0.677126\pi\) |
0.644354 | + | 0.764727i | \(0.277126\pi\) | |||||||
\(660\) | 2.54522 | + | 20.2559i | 0.0990725 | + | 0.788460i | ||||
\(661\) | 19.7563 | + | 14.3538i | 0.768432 | + | 0.558299i | 0.901485 | − | 0.432810i | \(-0.142478\pi\) |
−0.133053 | + | 0.991109i | \(0.542478\pi\) | |||||||
\(662\) | 1.77874 | + | 1.23929i | 0.0691327 | + | 0.0481664i | ||||
\(663\) | −5.37043 | − | 0.850592i | −0.208570 | − | 0.0330343i | ||||
\(664\) | 23.2088 | + | 10.1385i | 0.900675 | + | 0.393450i | ||||
\(665\) | −0.578146 | − | 0.667581i | −0.0224196 | − | 0.0258877i | ||||
\(666\) | −0.138843 | − | 0.776780i | −0.00538006 | − | 0.0300996i | ||||
\(667\) | 1.73467 | + | 3.40448i | 0.0671667 | + | 0.131822i | ||||
\(668\) | −1.57318 | + | 13.3282i | −0.0608683 | + | 0.515683i | ||||
\(669\) | 10.9108 | + | 3.54514i | 0.421836 | + | 0.137063i | ||||
\(670\) | 11.9336 | + | 26.7685i | 0.461036 | + | 1.03416i | ||||
\(671\) | −57.6272 | + | 18.7242i | −2.22467 | + | 0.722840i | ||||
\(672\) | 2.95410 | − | 1.29496i | 0.113957 | − | 0.0499540i | ||||
\(673\) | −23.5644 | + | 3.73224i | −0.908342 | + | 0.143867i | −0.593086 | − | 0.805139i | \(-0.702090\pi\) |
−0.315256 | + | 0.949007i | \(0.602090\pi\) | |||||||
\(674\) | −1.39186 | − | 0.674828i | −0.0536126 | − | 0.0259934i | ||||
\(675\) | 4.00433 | − | 2.99422i | 0.154127 | − | 0.115248i | ||||
\(676\) | −6.59231 | − | 8.35682i | −0.253550 | − | 0.321416i | ||||
\(677\) | 1.26062 | + | 7.95924i | 0.0484495 | + | 0.305898i | 0.999999 | − | 0.00159823i | \(-0.000508732\pi\) |
−0.951549 | + | 0.307497i | \(0.900509\pi\) | |||||||
\(678\) | 10.0835 | + | 13.3163i | 0.387255 | + | 0.511410i | ||||
\(679\) | −2.22840 | − | 6.85830i | −0.0855180 | − | 0.263197i | ||||
\(680\) | −7.91906 | − | 1.35420i | −0.303682 | − | 0.0519311i | ||||
\(681\) | 9.26362 | − | 28.5105i | 0.354983 | − | 1.09252i | ||||
\(682\) | −50.5160 | + | 17.5264i | −1.93436 | + | 0.671122i | ||||
\(683\) | −35.5849 | + | 18.1314i | −1.36162 | + | 0.693780i | −0.973683 | − | 0.227906i | \(-0.926812\pi\) |
−0.387937 | + | 0.921686i | \(0.626812\pi\) | |||||||
\(684\) | −1.33344 | − | 0.375609i | −0.0509852 | − | 0.0143618i | ||||
\(685\) | −37.2557 | + | 3.18974i | −1.42347 | + | 0.121874i | ||||
\(686\) | −5.19962 | − | 9.72408i | −0.198523 | − | 0.371267i | ||||
\(687\) | −0.135639 | + | 0.856390i | −0.00517494 | + | 0.0326733i | ||||
\(688\) | −5.89909 | + | 14.2674i | −0.224901 | + | 0.543940i | ||||
\(689\) | −21.6376 | + | 29.7816i | −0.824326 | + | 1.13459i | ||||
\(690\) | 1.95647 | + | 0.749933i | 0.0744816 | + | 0.0285495i | ||||
\(691\) | −28.5593 | − | 39.3084i | −1.08645 | − | 1.49536i | −0.852222 | − | 0.523181i | \(-0.824745\pi\) |
−0.234223 | − | 0.972183i | \(-0.575255\pi\) | |||||||
\(692\) | −1.79143 | − | 0.825168i | −0.0681000 | − | 0.0313682i | ||||
\(693\) | −1.84052 | + | 1.84052i | −0.0699155 | + | 0.0699155i | ||||
\(694\) | 23.3797 | + | 22.4720i | 0.887482 | + | 0.853025i | ||||
\(695\) | −2.53925 | − | 1.03141i | −0.0963192 | − | 0.0391237i | ||||
\(696\) | 14.0679 | − | 8.25438i | 0.533242 | − | 0.312882i | ||||
\(697\) | −2.55463 | + | 5.01374i | −0.0967635 | + | 0.189909i | ||||
\(698\) | 8.53257 | − | 28.1443i | 0.322962 | − | 1.06528i | ||||
\(699\) | 9.46753 | 0.358095 | ||||||||
\(700\) | 4.42771 | − | 3.59259i | 0.167352 | − | 0.135787i | ||||
\(701\) | −0.239240 | −0.00903597 | −0.00451799 | − | 0.999990i | \(-0.501438\pi\) | ||||
−0.00451799 | + | 0.999990i | \(0.501438\pi\) | |||||||
\(702\) | 1.75629 | − | 5.79305i | 0.0662870 | − | 0.218645i | ||||
\(703\) | −0.175461 | + | 0.344362i | −0.00661765 | + | 0.0129879i | ||||
\(704\) | 24.8153 | + | 26.7936i | 0.935262 | + | 1.00982i | ||||
\(705\) | 14.6566 | − | 17.4013i | 0.551999 | − | 0.655371i | ||||
\(706\) | −23.9937 | − | 23.0622i | −0.903016 | − | 0.867956i | ||||
\(707\) | −7.48646 | + | 7.48646i | −0.281557 | + | 0.281557i | ||||
\(708\) | 5.92571 | − | 12.8647i | 0.222702 | − | 0.483483i | ||||
\(709\) | −8.43241 | − | 11.6062i | −0.316686 | − | 0.435881i | 0.620766 | − | 0.783996i | \(-0.286822\pi\) |
−0.937452 | + | 0.348115i | \(0.886822\pi\) | |||||||
\(710\) | −5.49387 | + | 1.47493i | −0.206181 | + | 0.0553530i | ||||
\(711\) | 4.50041 | − | 6.19429i | 0.168779 | − | 0.232304i | ||||
\(712\) | −14.6509 | + | 0.871046i | −0.549066 | + | 0.0326438i | ||||
\(713\) | −0.858481 | + | 5.42024i | −0.0321504 | + | 0.202989i | ||||
\(714\) | −0.483004 | − | 0.903290i | −0.0180760 | − | 0.0338048i | ||||
\(715\) | 37.4102 | + | 22.5730i | 1.39906 | + | 0.844181i | ||||
\(716\) | −8.91863 | + | 31.6617i | −0.333305 | + | 1.18325i | ||||
\(717\) | −9.86150 | + | 5.02469i | −0.368284 | + | 0.187650i | ||||
\(718\) | −46.6480 | + | 16.1845i | −1.74089 | + | 0.603999i | ||||
\(719\) | −9.40688 | + | 28.9514i | −0.350818 | + | 1.07971i | 0.607578 | + | 0.794260i | \(0.292141\pi\) |
−0.958395 | + | 0.285445i | \(0.907859\pi\) | |||||||
\(720\) | 2.69999 | − | 8.52702i | 0.100623 | − | 0.317783i | ||||
\(721\) | −1.32147 | − | 4.06706i | −0.0492141 | − | 0.151465i | ||||
\(722\) | −15.8114 | − | 20.8805i | −0.588439 | − | 0.777093i | ||||
\(723\) | −0.114761 | − | 0.724573i | −0.00426801 | − | 0.0269472i | ||||
\(724\) | −35.8438 | + | 28.2755i | −1.33213 | + | 1.05085i | ||||
\(725\) | 20.1064 | − | 20.6666i | 0.746733 | − | 0.767539i | ||||
\(726\) | −12.5204 | − | 6.07038i | −0.464677 | − | 0.225293i | ||||
\(727\) | 21.2294 | − | 3.36240i | 0.787354 | − | 0.124705i | 0.250206 | − | 0.968193i | \(-0.419502\pi\) |
0.537148 | + | 0.843488i | \(0.319502\pi\) | |||||||
\(728\) | 1.73980 | − | 6.68033i | 0.0644811 | − | 0.247590i | ||||
\(729\) | 0.951057 | − | 0.309017i | 0.0352243 | − | 0.0114451i | ||||
\(730\) | 22.1412 | − | 2.33796i | 0.819481 | − | 0.0865319i | ||||
\(731\) | 4.66298 | + | 1.51510i | 0.172467 | + | 0.0560378i | ||||
\(732\) | 26.3638 | + | 3.11184i | 0.974435 | + | 0.115017i | ||||
\(733\) | 14.4461 | + | 28.3522i | 0.533581 | + | 1.04721i | 0.987713 | + | 0.156277i | \(0.0499492\pi\) |
−0.454133 | + | 0.890934i | \(0.650051\pi\) | |||||||
\(734\) | −4.01061 | − | 22.4380i | −0.148034 | − | 0.828201i | ||||
\(735\) | −14.5367 | − | 3.38451i | −0.536194 | − | 0.124840i | ||||
\(736\) | 3.62594 | − | 0.949267i | 0.133654 | − | 0.0349904i | ||||
\(737\) | −41.7874 | − | 6.61847i | −1.53926 | − | 0.243795i | ||||
\(738\) | −5.14006 | − | 3.58121i | −0.189208 | − | 0.131826i | ||||
\(739\) | 9.06553 | + | 6.58650i | 0.333481 | + | 0.242288i | 0.741906 | − | 0.670504i | \(-0.233922\pi\) |
−0.408425 | + | 0.912792i | \(0.633922\pi\) | |||||||
\(740\) | −2.18587 | − | 1.20359i | −0.0803541 | − | 0.0442447i | ||||
\(741\) | −2.39865 | + | 1.74272i | −0.0881166 | + | 0.0640204i | ||||
\(742\) | −6.93347 | + | 0.137262i | −0.254536 | + | 0.00503906i | ||||
\(743\) | −22.0818 | − | 22.0818i | −0.810104 | − | 0.810104i | 0.174545 | − | 0.984649i | \(-0.444154\pi\) |
−0.984649 | + | 0.174545i | \(0.944154\pi\) | |||||||
\(744\) | 23.3145 | + | 2.28501i | 0.854751 | + | 0.0837726i | ||||
\(745\) | −7.49780 | − | 30.3118i | −0.274698 | − | 1.11054i | ||||
\(746\) | 16.1175 | + | 2.22669i | 0.590102 | + | 0.0815250i | ||||
\(747\) | 7.97834 | + | 4.06517i | 0.291912 | + | 0.148737i | ||||
\(748\) | 7.86979 | − | 8.51894i | 0.287748 | − | 0.311483i | ||||
\(749\) | 0.651803i | 0.0238164i | ||||||||
\(750\) | 0.602856 | − | 15.7999i | 0.0220132 | − | 0.576930i | ||||
\(751\) | 3.26645i | 0.119194i | 0.998223 | + | 0.0595972i | \(0.0189816\pi\) | ||||
−0.998223 | + | 0.0595972i | \(0.981018\pi\) | |||||||
\(752\) | 3.16730 | − | 40.5753i | 0.115499 | − | 1.47963i | ||||
\(753\) | 11.7095 | + | 5.96627i | 0.426716 | + | 0.217423i | ||||
\(754\) | 4.77737 | − | 34.5800i | 0.173982 | − | 1.25933i | ||||
\(755\) | 10.3648 | + | 41.9022i | 0.377213 | + | 1.52498i | ||||
\(756\) | 1.06976 | − | 0.395044i | 0.0389069 | − | 0.0143676i | ||||
\(757\) | −1.58095 | − | 1.58095i | −0.0574608 | − | 0.0574608i | 0.677792 | − | 0.735253i | \(-0.262937\pi\) |
−0.735253 | + | 0.677792i | \(0.762937\pi\) | |||||||
\(758\) | −0.273961 | − | 13.8385i | −0.00995070 | − | 0.502635i | ||||
\(759\) | −2.44702 | + | 1.77786i | −0.0888211 | + | 0.0645323i | ||||
\(760\) | −3.57550 | + | 2.53122i | −0.129697 | + | 0.0918172i | ||||
\(761\) | −0.114145 | − | 0.0829313i | −0.00413776 | − | 0.00300626i | 0.585714 | − | 0.810517i | \(-0.300814\pi\) |
−0.589852 | + | 0.807511i | \(0.700814\pi\) | |||||||
\(762\) | 16.0517 | − | 23.0389i | 0.581493 | − | 0.834610i | ||||
\(763\) | −10.1287 | − | 1.60422i | −0.366682 | − | 0.0580768i | ||||
\(764\) | 0.686809 | + | 17.3394i | 0.0248479 | + | 0.627319i | ||||
\(765\) | −2.76646 | − | 0.644102i | −0.100022 | − | 0.0232876i | ||||
\(766\) | 23.1693 | − | 4.14133i | 0.837142 | − | 0.149632i | ||||
\(767\) | −13.7621 | − | 27.0096i | −0.496919 | − | 0.975258i | ||||
\(768\) | −4.96369 | − | 15.2106i | −0.179112 | − | 0.548865i | ||||
\(769\) | 30.9057 | + | 10.0419i | 1.11449 | + | 0.362120i | 0.807662 | − | 0.589645i | \(-0.200733\pi\) |
0.306828 | + | 0.951765i | \(0.400733\pi\) | |||||||
\(770\) | 0.864340 | + | 8.18554i | 0.0311487 | + | 0.294986i | ||||
\(771\) | −14.8643 | + | 4.82969i | −0.535323 | + | 0.173937i | ||||
\(772\) | 10.0095 | − | 1.99433i | 0.360249 | − | 0.0717776i | ||||
\(773\) | 35.2942 | − | 5.59005i | 1.26944 | − | 0.201060i | 0.514866 | − | 0.857271i | \(-0.327842\pi\) |
0.754578 | + | 0.656210i | \(0.227842\pi\) | |||||||
\(774\) | −2.38134 | + | 4.91162i | −0.0855955 | + | 0.176545i | ||||
\(775\) | 40.8094 | − | 7.03959i | 1.46592 | − | 0.252870i | ||||
\(776\) | −34.9368 | + | 7.68290i | −1.25416 | + | 0.275800i | ||||
\(777\) | −0.0497693 | − | 0.314231i | −0.00178546 | − | 0.0112730i | ||||
\(778\) | −16.7080 | + | 12.6519i | −0.599013 | + | 0.453591i | ||||
\(779\) | 0.948164 | + | 2.91815i | 0.0339715 | + | 0.104554i | ||||
\(780\) | −10.7492 | − | 15.8397i | −0.384884 | − | 0.567151i | ||||
\(781\) | 2.53753 | − | 7.80972i | 0.0908000 | − | 0.279454i | ||||
\(782\) | −0.390160 | − | 1.12455i | −0.0139521 | − | 0.0402137i | ||||
\(783\) | 5.13819 | − | 2.61804i | 0.183624 | − | 0.0935610i | ||||
\(784\) | −24.6606 | + | 10.2332i | −0.880737 | + | 0.365472i | ||||
\(785\) | 31.4751 | + | 18.9918i | 1.12339 | + | 0.677846i | ||||
\(786\) | −28.4026 | + | 15.1873i | −1.01309 | + | 0.541714i | ||||
\(787\) | −2.87851 | + | 18.1742i | −0.102608 | + | 0.647841i | 0.881758 | + | 0.471703i | \(0.156361\pi\) |
−0.984365 | + | 0.176138i | \(0.943639\pi\) | |||||||
\(788\) | 20.2604 | − | 11.3548i | 0.721746 | − | 0.404500i | ||||
\(789\) | −8.21592 | + | 11.3082i | −0.292495 | + | 0.402584i | ||||
\(790\) | −6.27789 | − | 23.3841i | −0.223357 | − | 0.831970i | ||||
\(791\) | 3.95844 | + | 5.44832i | 0.140746 | + | 0.193720i | ||||
\(792\) | 8.19587 | + | 9.97695i | 0.291227 | + | 0.354516i | ||||
\(793\) | 40.1749 | − | 40.1749i | 1.42665 | − | 1.42665i | ||||
\(794\) | −36.6898 | + | 38.1719i | −1.30207 | + | 1.35467i | ||||
\(795\) | −12.3884 | + | 14.7084i | −0.439372 | + | 0.521652i | ||||
\(796\) | −2.11483 | − | 1.41211i | −0.0749581 | − | 0.0500508i | ||||
\(797\) | −0.180269 | + | 0.353797i | −0.00638545 | + | 0.0125322i | −0.894177 | − | 0.447713i | \(-0.852239\pi\) |
0.887792 | + | 0.460245i | \(0.152239\pi\) | |||||||
\(798\) | −0.534516 | − | 0.162050i | −0.0189216 | − | 0.00573652i | ||||
\(799\) | −12.9248 | −0.457246 | ||||||||
\(800\) | −15.5938 | − | 23.5973i | −0.551324 | − | 0.834291i | ||||
\(801\) | −5.18903 | −0.183345 | ||||||||
\(802\) | −8.63583 | − | 2.61815i | −0.304942 | − | 0.0924500i | ||||
\(803\) | −14.5913 | + | 28.6370i | −0.514915 | + | 1.01058i | ||||
\(804\) | 15.4154 | + | 10.2932i | 0.543661 | + | 0.363012i | ||||
\(805\) | 0.782676 | + | 0.317914i | 0.0275857 | + | 0.0112050i | ||||
\(806\) | 34.7436 | − | 36.1470i | 1.22379 | − | 1.27322i | ||||
\(807\) | 4.42868 | − | 4.42868i | 0.155897 | − | 0.155897i | ||||
\(808\) | 33.3374 | + | 40.5821i | 1.17280 | + | 1.42767i | ||||
\(809\) | 27.2343 | + | 37.4848i | 0.957506 | + | 1.31789i | 0.948111 | + | 0.317938i | \(0.102991\pi\) |
0.00939488 | + | 0.999956i | \(0.497009\pi\) | |||||||
\(810\) | 1.13183 | − | 2.95279i | 0.0397685 | − | 0.103750i | ||||
\(811\) | 10.0855 | − | 13.8814i | 0.354148 | − | 0.487443i | −0.594358 | − | 0.804200i | \(-0.702594\pi\) |
0.948507 | + | 0.316757i | \(0.102594\pi\) | |||||||
\(812\) | 5.73669 | − | 3.21511i | 0.201319 | − | 0.112828i | ||||
\(813\) | 3.13832 | − | 19.8146i | 0.110066 | − | 0.694927i | ||||
\(814\) | 3.17657 | − | 1.69856i | 0.111339 | − | 0.0595346i | ||||
\(815\) | −39.2126 | + | 3.35728i | −1.37356 | + | 0.117600i | ||||
\(816\) | −4.69313 | + | 1.94747i | −0.164293 | + | 0.0681751i | ||||
\(817\) | 2.38209 | − | 1.21374i | 0.0833388 | − | 0.0424633i | ||||
\(818\) | −6.11312 | − | 17.6197i | −0.213740 | − | 0.616058i | ||||
\(819\) | 0.754199 | − | 2.32119i | 0.0263538 | − | 0.0811088i | ||||
\(820\) | −19.0275 | + | 5.51427i | −0.664469 | + | 0.192567i | ||||
\(821\) | −7.99259 | − | 24.5987i | −0.278943 | − | 0.858499i | −0.988149 | − | 0.153498i | \(-0.950946\pi\) |
0.709206 | − | 0.705002i | \(-0.249054\pi\) | |||||||
\(822\) | −18.8534 | + | 14.2764i | −0.657587 | + | 0.497946i | ||||
\(823\) | −4.34747 | − | 27.4488i | −0.151543 | − | 0.956806i | −0.939866 | − | 0.341544i | \(-0.889050\pi\) |
0.788323 | − | 0.615262i | \(-0.210950\pi\) | |||||||
\(824\) | −20.7180 | + | 4.55606i | −0.721745 | + | 0.158718i | ||||
\(825\) | 18.6483 | + | 13.1612i | 0.649250 | + | 0.458213i | ||||
\(826\) | 2.49134 | − | 5.13850i | 0.0866848 | − | 0.178791i | ||||
\(827\) | 27.6226 | − | 4.37499i | 0.960533 | − | 0.152133i | 0.343571 | − | 0.939127i | \(-0.388363\pi\) |
0.616962 | + | 0.786993i | \(0.288363\pi\) | |||||||
\(828\) | 1.29962 | − | 0.258942i | 0.0451650 | − | 0.00899887i | ||||
\(829\) | 26.8128 | − | 8.71201i | 0.931248 | − | 0.302581i | 0.196175 | − | 0.980569i | \(-0.437148\pi\) |
0.735073 | + | 0.677988i | \(0.237148\pi\) | |||||||
\(830\) | 25.8624 | − | 11.5297i | 0.897696 | − | 0.400201i | ||||
\(831\) | −9.50043 | − | 3.08688i | −0.329566 | − | 0.107083i | ||||
\(832\) | −32.1382 | − | 11.8215i | −1.11419 | − | 0.409835i | ||||
\(833\) | 3.84940 | + | 7.55488i | 0.133374 | + | 0.261761i | ||||
\(834\) | −1.70635 | + | 0.304996i | −0.0590859 | + | 0.0105611i | ||||
\(835\) | 9.82300 | + | 11.3425i | 0.339939 | + | 0.392525i | ||||
\(836\) | −0.250295 | − | 6.31903i | −0.00865662 | − | 0.218548i | ||||
\(837\) | 8.18045 | + | 1.29566i | 0.282758 | + | 0.0447844i | ||||
\(838\) | 3.47343 | − | 4.98538i | 0.119988 | − | 0.172217i | ||||
\(839\) | 26.1157 | + | 18.9742i | 0.901615 | + | 0.655062i | 0.938880 | − | 0.344244i | \(-0.111865\pi\) |
−0.0372654 | + | 0.999305i | \(0.511865\pi\) | |||||||
\(840\) | 1.15643 | − | 3.41573i | 0.0399005 | − | 0.117854i | ||||
\(841\) | 3.44243 | − | 2.50107i | 0.118704 | − | 0.0862438i | ||||
\(842\) | 0.163548 | + | 8.26125i | 0.00563625 | + | 0.284701i | ||||
\(843\) | −19.8038 | − | 19.8038i | −0.682080 | − | 0.682080i | ||||
\(844\) | −8.19783 | + | 3.02731i | −0.282181 | + | 0.104204i | ||||
\(845\) | −11.8698 | − | 0.852175i | −0.408334 | − | 0.0293157i | ||||
\(846\) | 1.96922 | − | 14.2538i | 0.0677032 | − | 0.490056i | ||||
\(847\) | −4.99859 | − | 2.54691i | −0.171754 | − | 0.0875129i | ||||
\(848\) | −2.67714 | + | 34.2961i | −0.0919334 | + | 1.17773i | ||||
\(849\) | 9.59484i | 0.329294i | ||||||||
\(850\) | −7.08574 | + | 5.52033i | −0.243039 | + | 0.189346i | ||||
\(851\) | − | 0.369703i | − | 0.0126733i | ||||||
\(852\) | −2.44125 | + | 2.64263i | −0.0836360 | + | 0.0905348i | ||||
\(853\) | 11.7252 | + | 5.97427i | 0.401462 | + | 0.204555i | 0.643051 | − | 0.765824i | \(-0.277668\pi\) |
−0.241589 | + | 0.970379i | \(0.577668\pi\) | |||||||
\(854\) | 10.6025 | + | 1.46478i | 0.362811 | + | 0.0501238i | ||||
\(855\) | −1.31502 | + | 0.818321i | −0.0449726 | + | 0.0279860i | ||||
\(856\) | 3.21787 | + | 0.315378i | 0.109985 | + | 0.0107794i | ||||
\(857\) | 17.3368 | + | 17.3368i | 0.592213 | + | 0.592213i | 0.938229 | − | 0.346015i | \(-0.112466\pi\) |
−0.346015 | + | 0.938229i | \(0.612466\pi\) | |||||||
\(858\) | 27.6283 | − | 0.546960i | 0.943216 | − | 0.0186729i | ||||
\(859\) | 26.4354 | − | 19.2065i | 0.901966 | − | 0.655317i | −0.0370044 | − | 0.999315i | \(-0.511782\pi\) |
0.938970 | + | 0.343999i | \(0.111782\pi\) | |||||||
\(860\) | 7.33905 | + | 15.6233i | 0.250260 | + | 0.532749i | ||||
\(861\) | −2.04340 | − | 1.48462i | −0.0696389 | − | 0.0505956i | ||||
\(862\) | 3.56690 | + | 2.48514i | 0.121489 | + | 0.0846443i | ||||
\(863\) | 25.5766 | + | 4.05093i | 0.870637 | + | 0.137895i | 0.575739 | − | 0.817634i | \(-0.304714\pi\) |
0.294898 | + | 0.955529i | \(0.404714\pi\) | |||||||
\(864\) | −1.43267 | − | 5.47243i | −0.0487405 | − | 0.186176i | ||||
\(865\) | −2.03144 | + | 0.857847i | −0.0690711 | + | 0.0291677i | ||||
\(866\) | 6.80408 | + | 38.0665i | 0.231212 | + | 1.29355i | ||||
\(867\) | −6.98526 | − | 13.7094i | −0.237232 | − | 0.465594i | ||||
\(868\) | 9.37993 | + | 1.10715i | 0.318376 | + | 0.0375792i | ||||
\(869\) | 33.2413 | + | 10.8008i | 1.12763 | + | 0.366391i | ||||
\(870\) | 3.78284 | − | 17.8393i | 0.128250 | − | 0.604809i | ||||
\(871\) | 37.7294 | − | 12.2590i | 1.27841 | − | 0.415381i | ||||
\(872\) | −12.8206 | + | 49.2277i | −0.434162 | + | 1.66706i | ||||
\(873\) | −12.4915 | + | 1.97845i | −0.422772 | + | 0.0669605i | ||||
\(874\) | −0.584028 | − | 0.283159i | −0.0197550 | − | 0.00957798i | ||||
\(875\) | 0.369101 | − | 6.36419i | 0.0124779 | − | 0.215149i | ||||
\(876\) | 11.0554 | − | 8.72108i | 0.373527 | − | 0.294658i | ||||
\(877\) | −2.40885 | − | 15.2089i | −0.0813410 | − | 0.513567i | −0.994395 | − | 0.105728i | \(-0.966283\pi\) |
0.913054 | − | 0.407839i | \(-0.133717\pi\) | |||||||
\(878\) | 20.5795 | + | 27.1773i | 0.694525 | + | 0.917190i | ||||
\(879\) | −0.159729 | − | 0.491595i | −0.00538752 | − | 0.0165811i | ||||
\(880\) | 40.8292 | − | 0.306531i | 1.37635 | − | 0.0103331i | ||||
\(881\) | −6.30400 | + | 19.4017i | −0.212387 | + | 0.653660i | 0.786942 | + | 0.617027i | \(0.211663\pi\) |
−0.999329 | + | 0.0366329i | \(0.988337\pi\) | |||||||
\(882\) | −8.91821 | + | 3.09416i | −0.300292 | + | 0.104186i | ||||
\(883\) | 42.2974 | − | 21.5516i | 1.42342 | − | 0.725270i | 0.438575 | − | 0.898694i | \(-0.355483\pi\) |
0.984847 | + | 0.173424i | \(0.0554833\pi\) | |||||||
\(884\) | −2.94851 | + | 10.4674i | −0.0991690 | + | 0.352057i | ||||
\(885\) | −6.16038 | − | 14.5882i | −0.207079 | − | 0.490378i | ||||
\(886\) | −16.8131 | − | 31.4430i | −0.564847 | − | 1.05635i | ||||
\(887\) | −5.53478 | + | 34.9452i | −0.185840 | + | 1.17335i | 0.701651 | + | 0.712521i | \(0.252447\pi\) |
−0.887491 | + | 0.460825i | \(0.847553\pi\) | |||||||
\(888\) | −1.57540 | + | 0.0936628i | −0.0528670 | + | 0.00314312i | ||||
\(889\) | 6.65437 | − | 9.15895i | 0.223180 | − | 0.307181i | ||||
\(890\) | −10.3204 | + | 12.7573i | −0.345942 | + | 0.427625i | ||||
\(891\) | 2.68322 | + | 3.69314i | 0.0898914 | + | 0.123725i | ||||
\(892\) | 9.59934 | − | 20.8401i | 0.321410 | − | 0.697777i | ||||
\(893\) | −4.98343 | + | 4.98343i | −0.166764 | + | 0.166764i | ||||
\(894\) | −14.2380 | − | 13.6852i | −0.476191 | − | 0.457703i | ||||
\(895\) | 19.4306 | + | 31.2244i | 0.649493 | + | 1.04372i | ||||
\(896\) | −1.87950 | − | 6.17105i | −0.0627896 | − | 0.206160i | ||||
\(897\) | 1.28758 | − | 2.52702i | 0.0429911 | − | 0.0843747i | ||||
\(898\) | −4.44908 | + | 14.6751i | −0.148468 | + | 0.489714i | ||||
\(899\) | 47.7624 | 1.59296 | ||||||||
\(900\) | −5.00838 | − | 8.65541i | −0.166946 | − | 0.288514i | ||||
\(901\) | 10.9246 | 0.363952 | ||||||||
\(902\) | 8.29713 | − | 27.3677i | 0.276264 | − | 0.911244i | ||||
\(903\) | −0.999123 | + | 1.96089i | −0.0332487 | + | 0.0652543i | ||||
\(904\) | 28.8130 | − | 16.9061i | 0.958306 | − | 0.562289i | ||||
\(905\) | −3.65512 | + | 50.9117i | −0.121500 | + | 1.69236i | ||||
\(906\) | 19.6823 | + | 18.9181i | 0.653901 | + | 0.628513i | ||||
\(907\) | 25.9955 | − | 25.9955i | 0.863166 | − | 0.863166i | −0.128538 | − | 0.991705i | \(-0.541029\pi\) |
0.991705 | + | 0.128538i | \(0.0410286\pi\) | |||||||
\(908\) | −54.4561 | − | 25.0835i | −1.80719 | − | 0.832427i | ||||
\(909\) | 10.9142 | + | 15.0222i | 0.362002 | + | 0.498254i | ||||
\(910\) | −4.20664 | − | 6.47081i | −0.139449 | − | 0.214505i | ||||
\(911\) | −4.91355 | + | 6.76292i | −0.162793 | + | 0.224065i | −0.882619 | − | 0.470089i | \(-0.844222\pi\) |
0.719826 | + | 0.694155i | \(0.244222\pi\) | |||||||
\(912\) | −1.05865 | + | 2.56043i | −0.0350554 | + | 0.0847842i | ||||
\(913\) | −6.39444 | + | 40.3729i | −0.211625 | + | 1.33615i | ||||
\(914\) | 10.1408 | + | 18.9648i | 0.335427 | + | 0.627300i | ||||
\(915\) | 22.4361 | − | 19.4304i | 0.741715 | − | 0.642348i | ||||
\(916\) | 1.66917 | + | 0.470180i | 0.0551510 | + | 0.0155352i | ||||
\(917\) | −11.5704 | + | 5.89541i | −0.382088 | + | 0.194684i | ||||
\(918\) | −1.69721 | + | 0.588845i | −0.0560164 | + | 0.0194348i | ||||
\(919\) | 12.4509 | − | 38.3200i | 0.410718 | − | 1.26406i | −0.505307 | − | 0.862940i | \(-0.668621\pi\) |
0.916025 | − | 0.401121i | \(-0.131379\pi\) | |||||||
\(920\) | 1.94820 | − | 3.71015i | 0.0642304 | − | 0.122320i | ||||
\(921\) | 3.43611 | + | 10.5752i | 0.113224 | + | 0.348466i | ||||
\(922\) | 7.38646 | + | 9.75456i | 0.243260 | + | 0.321249i | ||||
\(923\) | 1.20451 | + | 7.60496i | 0.0396469 | + | 0.250320i | ||||
\(924\) | 3.22417 | + | 4.08715i | 0.106067 | + | 0.134457i | ||||
\(925\) | −2.64122 | + | 0.898484i | −0.0868427 | + | 0.0295420i | ||||
\(926\) | 8.99835 | + | 4.36274i | 0.295704 | + | 0.143369i | ||||
\(927\) | −7.40760 | + | 1.17325i | −0.243297 | + | 0.0385345i | ||||
\(928\) | −13.0969 | − | 29.8770i | −0.429926 | − | 0.980760i | ||||
\(929\) | 15.1027 | − | 4.90715i | 0.495502 | − | 0.160998i | −0.0505966 | − | 0.998719i | \(-0.516112\pi\) |
0.546099 | + | 0.837721i | \(0.316112\pi\) | |||||||
\(930\) | 19.4554 | − | 17.5348i | 0.637969 | − | 0.574989i | ||||
\(931\) | 4.39717 | + | 1.42873i | 0.144111 | + | 0.0468246i | ||||
\(932\) | 2.21958 | − | 18.8045i | 0.0727047 | − | 0.615962i | ||||
\(933\) | 8.72508 | + | 17.1239i | 0.285646 | + | 0.560612i | ||||
\(934\) | −4.60710 | − | 25.7751i | −0.150749 | − | 0.843389i | ||||
\(935\) | −1.10612 | − | 12.9193i | −0.0361740 | − | 0.422507i | ||||
\(936\) | −11.0945 | − | 4.84650i | −0.362634 | − | 0.158413i | ||||
\(937\) | −2.53917 | − | 0.402165i | −0.0829512 | − | 0.0131382i | 0.114821 | − | 0.993386i | \(-0.463371\pi\) |
−0.197772 | + | 0.980248i | \(0.563371\pi\) | |||||||
\(938\) | 6.13188 | + | 4.27223i | 0.200213 | + | 0.139493i | ||||
\(939\) | 6.10589 | + | 4.43619i | 0.199258 | + | 0.144770i | ||||
\(940\) | −31.1266 | − | 33.1907i | −1.01524 | − | 1.08256i | ||||
\(941\) | −13.7615 | + | 9.99831i | −0.448612 | + | 0.325935i | −0.789047 | − | 0.614332i | \(-0.789425\pi\) |
0.340436 | + | 0.940268i | \(0.389425\pi\) | |||||||
\(942\) | 23.2451 | − | 0.460185i | 0.757367 | − | 0.0149936i | ||||
\(943\) | −2.07541 | − | 2.07541i | −0.0675848 | − | 0.0675848i | ||||
\(944\) | −24.1627 | − | 14.7857i | −0.786429 | − | 0.481234i | ||||
\(945\) | 0.479809 | − | 1.18125i | 0.0156082 | − | 0.0384260i | ||||
\(946\) | −24.6833 | − | 3.41010i | −0.802522 | − | 0.110872i | ||||
\(947\) | −25.4121 | − | 12.9481i | −0.825782 | − | 0.420757i | −0.0105872 | − | 0.999944i | \(-0.503370\pi\) |
−0.815195 | + | 0.579187i | \(0.803370\pi\) | |||||||
\(948\) | −11.2481 | − | 10.3910i | −0.365321 | − | 0.337483i | ||||
\(949\) | − | 30.1366i | − | 0.978276i | ||||||
\(950\) | −0.603576 | + | 4.86054i | −0.0195826 | + | 0.157697i | ||||
\(951\) | 12.1281i | 0.393280i | ||||||||
\(952\) | −1.90736 | + | 0.747580i | −0.0618179 | + | 0.0242292i | ||||
\(953\) | −13.9573 | − | 7.11160i | −0.452121 | − | 0.230367i | 0.213075 | − | 0.977036i | \(-0.431652\pi\) |
−0.665196 | + | 0.746669i | \(0.731652\pi\) | |||||||
\(954\) | −1.66447 | + | 12.0479i | −0.0538893 | + | 0.390067i | ||||
\(955\) | 14.8391 | + | 12.4985i | 0.480181 | + | 0.404442i | ||||
\(956\) | 7.66815 | + | 20.7650i | 0.248006 | + | 0.671589i | ||||
\(957\) | 18.6145 | + | 18.6145i | 0.601722 | + | 0.601722i | ||||
\(958\) | 0.707841 | + | 35.7548i | 0.0228693 | + | 1.15519i | ||||
\(959\) | −7.71380 | + | 5.60441i | −0.249092 | + | 0.180976i | ||||
\(960\) | −16.3035 | − | 7.36184i | −0.526192 | − | 0.237602i | ||||
\(961\) | 30.4178 | + | 22.0998i | 0.981218 | + | 0.712897i | ||||
\(962\) | −1.93085 | + | 2.77133i | −0.0622532 | + | 0.0893513i | ||||
\(963\) | 1.12907 | + | 0.178826i | 0.0363836 | + | 0.00576260i | ||||
\(964\) | −1.46606 | + | 0.0580702i | −0.0472186 | + | 0.00187031i | ||||
\(965\) | 5.89521 | − | 9.77013i | 0.189774 | − | 0.314512i | ||||
\(966\) | 0.525950 | − | 0.0940093i | 0.0169221 | − | 0.00302470i | ||||
\(967\) | 1.53584 | + | 3.01425i | 0.0493891 | + | 0.0969316i | 0.914382 | − | 0.404853i | \(-0.132677\pi\) |
−0.864993 | + | 0.501784i | \(0.832677\pi\) | |||||||
\(968\) | −14.9924 | + | 23.4451i | −0.481873 | + | 0.753554i | ||||
\(969\) | 0.836819 | + | 0.271899i | 0.0268825 | + | 0.00873465i | ||||
\(970\) | −19.9802 | + | 34.6454i | −0.641524 | + | 1.11240i | ||||
\(971\) | 0.924449 | − | 0.300372i | 0.0296670 | − | 0.00963939i | −0.294146 | − | 0.955761i | \(-0.595035\pi\) |
0.323813 | + | 0.946121i | \(0.395035\pi\) | |||||||
\(972\) | −0.390806 | − | 1.96145i | −0.0125351 | − | 0.0629134i | ||||
\(973\) | −0.690268 | + | 0.109328i | −0.0221290 | + | 0.00350489i | ||||
\(974\) | 14.5746 | − | 30.0607i | 0.466999 | − | 0.963206i | ||||
\(975\) | −21.1826 | − | 3.05730i | −0.678387 | − | 0.0979120i | ||||
\(976\) | 12.3615 | − | 51.6346i | 0.395683 | − | 1.65278i | ||||
\(977\) | −1.61466 | − | 10.1946i | −0.0516576 | − | 0.326153i | −0.999961 | − | 0.00878920i | \(-0.997202\pi\) |
0.948304 | − | 0.317364i | \(-0.102798\pi\) | |||||||
\(978\) | −19.8437 | + | 15.0262i | −0.634531 | + | 0.480486i | ||||
\(979\) | −7.31992 | − | 22.5284i | −0.233946 | − | 0.720011i | ||||
\(980\) | −10.1304 | + | 28.0795i | −0.323602 | + | 0.896967i | ||||
\(981\) | −5.55773 | + | 17.1049i | −0.177445 | + | 0.546119i | ||||
\(982\) | 11.0897 | + | 31.9636i | 0.353887 | + | 1.02000i | ||||
\(983\) | −2.23630 | + | 1.13945i | −0.0713268 | + | 0.0363428i | −0.489290 | − | 0.872121i | \(-0.662744\pi\) |
0.417963 | + | 0.908464i | \(0.362744\pi\) | |||||||
\(984\) | −8.31808 | + | 9.36967i | −0.265171 | + | 0.298694i | ||||
\(985\) | 5.88821 | − | 25.2903i | 0.187614 | − | 0.805815i | ||||
\(986\) | −9.13565 | + | 4.88498i | −0.290938 | + | 0.155569i | ||||
\(987\) | 0.907550 | − | 5.73005i | 0.0288876 | − | 0.182389i | ||||
\(988\) | 2.89907 | + | 5.17279i | 0.0922317 | + | 0.164568i | ||||
\(989\) | −1.50319 | + | 2.06897i | −0.0477988 | + | 0.0657894i | ||||
\(990\) | 14.4163 | + | 0.748531i | 0.458180 | + | 0.0237899i | ||||
\(991\) | −22.1826 | − | 30.5317i | −0.704653 | − | 0.969871i | −0.999896 | − | 0.0144492i | \(-0.995401\pi\) |
0.295243 | − | 0.955422i | \(-0.404599\pi\) | |||||||
\(992\) | 10.0044 | − | 45.7718i | 0.317640 | − | 1.45326i | ||||
\(993\) | 1.08395 | − | 1.08395i | 0.0343980 | − | 0.0343980i | ||||
\(994\) | −1.00517 | + | 1.04577i | −0.0318820 | + | 0.0331698i | ||||
\(995\) | −2.75991 | + | 0.682682i | −0.0874952 | + | 0.0216425i | ||||
\(996\) | 9.94474 | − | 14.8936i | 0.315111 | − | 0.471923i | ||||
\(997\) | 3.03505 | − | 5.95663i | 0.0961211 | − | 0.188648i | −0.837939 | − | 0.545764i | \(-0.816240\pi\) |
0.934060 | + | 0.357115i | \(0.116240\pi\) | |||||||
\(998\) | 4.33345 | + | 1.31378i | 0.137173 | + | 0.0415871i | ||||
\(999\) | −0.557971 | −0.0176534 |
(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 | 300.2.w.a.187.3 | ✓ | 240 | |
3.2 | odd | 2 | 900.2.bj.f.487.28 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.187.25 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.487.6 | 240 | |||
25.23 | odd | 20 | inner | 300.2.w.a.223.25 | yes | 240 | |
75.23 | even | 20 | 900.2.bj.f.523.6 | 240 | |||
100.23 | even | 20 | inner | 300.2.w.a.223.3 | yes | 240 | |
300.23 | odd | 20 | 900.2.bj.f.523.28 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.187.3 | ✓ | 240 | 1.1 | even | 1 | trivial | |
300.2.w.a.187.25 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.223.3 | yes | 240 | 100.23 | even | 20 | inner | |
300.2.w.a.223.25 | yes | 240 | 25.23 | odd | 20 | inner | |
900.2.bj.f.487.6 | 240 | 12.11 | even | 2 | |||
900.2.bj.f.487.28 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.523.6 | 240 | 75.23 | even | 20 | |||
900.2.bj.f.523.28 | 240 | 300.23 | odd | 20 |