Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(25,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.y (of order \(33\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Character | \(\chi\) | \(=\) | 966.25 |
Dual form | 966.2.y.d.541.4 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0475819 | − | 0.998867i | 0.0336455 | − | 0.706306i | ||||
\(3\) | 0.928368 | + | 0.371662i | 0.535993 | + | 0.214579i | ||||
\(4\) | −0.995472 | − | 0.0950560i | −0.497736 | − | 0.0475280i | ||||
\(5\) | −0.167957 | − | 0.692328i | −0.0751126 | − | 0.309619i | 0.921845 | − | 0.387558i | \(-0.126681\pi\) |
−0.996958 | + | 0.0779391i | \(0.975166\pi\) | |||||||
\(6\) | 0.415415 | − | 0.909632i | 0.169592 | − | 0.371356i | ||||
\(7\) | 2.14841 | − | 1.54413i | 0.812022 | − | 0.583627i | ||||
\(8\) | −0.142315 | + | 0.989821i | −0.0503159 | + | 0.349955i | ||||
\(9\) | 0.723734 | + | 0.690079i | 0.241245 | + | 0.230026i | ||||
\(10\) | −0.699536 | + | 0.134824i | −0.221213 | + | 0.0426352i | ||||
\(11\) | 0.242982 | + | 5.10082i | 0.0732619 | + | 1.53796i | 0.674133 | + | 0.738610i | \(0.264518\pi\) |
−0.600871 | + | 0.799346i | \(0.705179\pi\) | |||||||
\(12\) | −0.888835 | − | 0.458227i | −0.256585 | − | 0.132279i | ||||
\(13\) | 2.81646 | + | 3.25036i | 0.781144 | + | 0.901489i | 0.997191 | − | 0.0748943i | \(-0.0238619\pi\) |
−0.216047 | + | 0.976383i | \(0.569316\pi\) | |||||||
\(14\) | −1.44016 | − | 2.21945i | −0.384898 | − | 0.593172i | ||||
\(15\) | 0.101386 | − | 0.705158i | 0.0261779 | − | 0.182071i | ||||
\(16\) | 0.981929 | + | 0.189251i | 0.245482 | + | 0.0473128i | ||||
\(17\) | 0.440832 | + | 0.619063i | 0.106918 | + | 0.150145i | 0.864568 | − | 0.502516i | \(-0.167592\pi\) |
−0.757650 | + | 0.652661i | \(0.773653\pi\) | |||||||
\(18\) | 0.723734 | − | 0.690079i | 0.170586 | − | 0.162653i | ||||
\(19\) | 0.275423 | − | 0.386777i | 0.0631863 | − | 0.0887327i | −0.781774 | − | 0.623562i | \(-0.785685\pi\) |
0.844960 | + | 0.534830i | \(0.179624\pi\) | |||||||
\(20\) | 0.101386 | + | 0.705158i | 0.0226707 | + | 0.157678i | ||||
\(21\) | 2.56841 | − | 0.635038i | 0.560473 | − | 0.138577i | ||||
\(22\) | 5.10661 | 1.08873 | ||||||||
\(23\) | 3.41859 | − | 3.36352i | 0.712825 | − | 0.701342i | ||||
\(24\) | −0.500000 | + | 0.866025i | −0.102062 | + | 0.176777i | ||||
\(25\) | 3.99307 | − | 2.05857i | 0.798614 | − | 0.411714i | ||||
\(26\) | 3.38069 | − | 2.65861i | 0.663009 | − | 0.521396i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −2.28546 | + | 1.33292i | −0.431911 | + | 0.251898i | ||||
\(29\) | −1.23166 | + | 2.69697i | −0.228714 | + | 0.500814i | −0.988844 | − | 0.148957i | \(-0.952408\pi\) |
0.760129 | + | 0.649772i | \(0.225136\pi\) | |||||||
\(30\) | −0.699536 | − | 0.134824i | −0.127717 | − | 0.0246155i | ||||
\(31\) | 1.00579 | + | 0.790961i | 0.180645 | + | 0.142061i | 0.704387 | − | 0.709816i | \(-0.251222\pi\) |
−0.523742 | + | 0.851877i | \(0.675464\pi\) | |||||||
\(32\) | 0.235759 | − | 0.971812i | 0.0416767 | − | 0.171794i | ||||
\(33\) | −1.67021 | + | 4.82575i | −0.290746 | + | 0.840055i | ||||
\(34\) | 0.639337 | − | 0.410877i | 0.109645 | − | 0.0704648i | ||||
\(35\) | −1.42989 | − | 1.22806i | −0.241695 | − | 0.207579i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | −8.16843 | − | 7.78859i | −1.34288 | − | 1.28044i | −0.928988 | − | 0.370111i | \(-0.879320\pi\) |
−0.413895 | − | 0.910325i | \(-0.635832\pi\) | |||||||
\(38\) | −0.373234 | − | 0.293514i | −0.0605465 | − | 0.0476143i | ||||
\(39\) | 1.40667 | + | 4.06430i | 0.225247 | + | 0.650810i | ||||
\(40\) | 0.709184 | − | 0.0677189i | 0.112132 | − | 0.0107073i | ||||
\(41\) | 0.779248 | + | 0.228808i | 0.121698 | + | 0.0357338i | 0.342014 | − | 0.939695i | \(-0.388891\pi\) |
−0.220316 | + | 0.975428i | \(0.570709\pi\) | |||||||
\(42\) | −0.512109 | − | 2.59572i | −0.0790202 | − | 0.400528i | ||||
\(43\) | −0.0797323 | − | 0.554551i | −0.0121591 | − | 0.0845682i | 0.982838 | − | 0.184469i | \(-0.0590565\pi\) |
−0.994997 | + | 0.0999008i | \(0.968147\pi\) | |||||||
\(44\) | 0.242982 | − | 5.10082i | 0.0366309 | − | 0.768978i | ||||
\(45\) | 0.356205 | − | 0.616965i | 0.0530999 | − | 0.0919717i | ||||
\(46\) | −3.19705 | − | 3.57476i | −0.471379 | − | 0.527069i | ||||
\(47\) | −0.692745 | − | 1.19987i | −0.101047 | − | 0.175019i | 0.811069 | − | 0.584950i | \(-0.198886\pi\) |
−0.912116 | + | 0.409931i | \(0.865553\pi\) | |||||||
\(48\) | 0.841254 | + | 0.540641i | 0.121424 | + | 0.0780348i | ||||
\(49\) | 2.23132 | − | 6.63485i | 0.318760 | − | 0.947835i | ||||
\(50\) | −1.86624 | − | 4.08650i | −0.263926 | − | 0.577918i | ||||
\(51\) | 0.179172 | + | 0.738559i | 0.0250892 | + | 0.103419i | ||||
\(52\) | −2.49474 | − | 3.50337i | −0.345958 | − | 0.485830i | ||||
\(53\) | 2.35228 | + | 6.79646i | 0.323110 | + | 0.933566i | 0.983224 | + | 0.182401i | \(0.0583868\pi\) |
−0.660114 | + | 0.751166i | \(0.729492\pi\) | |||||||
\(54\) | 0.928368 | − | 0.371662i | 0.126335 | − | 0.0505769i | ||||
\(55\) | 3.49063 | − | 1.02494i | 0.470677 | − | 0.138203i | ||||
\(56\) | 1.22266 | + | 2.34629i | 0.163385 | + | 0.313537i | ||||
\(57\) | 0.399444 | − | 0.256707i | 0.0529076 | − | 0.0340017i | ||||
\(58\) | 2.63531 | + | 1.35860i | 0.346033 | + | 0.178392i | ||||
\(59\) | 0.0838234 | − | 0.0161556i | 0.0109129 | − | 0.00210328i | −0.183792 | − | 0.982965i | \(-0.558837\pi\) |
0.194705 | + | 0.980862i | \(0.437625\pi\) | |||||||
\(60\) | −0.167957 | + | 0.692328i | −0.0216832 | + | 0.0893792i | ||||
\(61\) | 9.54335 | − | 3.82058i | 1.22190 | − | 0.489175i | 0.331111 | − | 0.943592i | \(-0.392577\pi\) |
0.890789 | + | 0.454417i | \(0.150152\pi\) | |||||||
\(62\) | 0.837923 | − | 0.967015i | 0.106416 | − | 0.122811i | ||||
\(63\) | 2.62045 | + | 0.365032i | 0.330146 | + | 0.0459897i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | 1.77727 | − | 2.49583i | 0.220444 | − | 0.309570i | ||||
\(66\) | 4.74081 | + | 1.89793i | 0.583553 | + | 0.233620i | ||||
\(67\) | 0.644313 | − | 0.332167i | 0.0787154 | − | 0.0405806i | −0.418419 | − | 0.908254i | \(-0.637416\pi\) |
0.497135 | + | 0.867673i | \(0.334385\pi\) | |||||||
\(68\) | −0.379991 | − | 0.658163i | −0.0460806 | − | 0.0798140i | ||||
\(69\) | 4.42380 | − | 1.85202i | 0.532563 | − | 0.222957i | ||||
\(70\) | −1.29470 | + | 1.36983i | −0.154746 | + | 0.163726i | ||||
\(71\) | 2.95671 | + | 1.90016i | 0.350897 | + | 0.225508i | 0.704201 | − | 0.710001i | \(-0.251305\pi\) |
−0.353304 | + | 0.935509i | \(0.614942\pi\) | |||||||
\(72\) | −0.786053 | + | 0.618159i | −0.0926372 | + | 0.0728507i | ||||
\(73\) | −1.57222 | − | 0.150129i | −0.184015 | − | 0.0175713i | 0.00264184 | − | 0.999997i | \(-0.499159\pi\) |
−0.186656 | + | 0.982425i | \(0.559765\pi\) | |||||||
\(74\) | −8.16843 | + | 7.78859i | −0.949561 | + | 0.905405i | ||||
\(75\) | 4.47213 | − | 0.427037i | 0.516397 | − | 0.0493099i | ||||
\(76\) | −0.310941 | + | 0.358845i | −0.0356674 | + | 0.0411623i | ||||
\(77\) | 8.39836 | + | 10.5835i | 0.957082 | + | 1.20610i | ||||
\(78\) | 4.12663 | − | 1.21169i | 0.467249 | − | 0.137197i | ||||
\(79\) | 3.28055 | − | 9.47854i | 0.369091 | − | 1.06642i | −0.595656 | − | 0.803240i | \(-0.703108\pi\) |
0.964747 | − | 0.263179i | \(-0.0847710\pi\) | |||||||
\(80\) | −0.0338978 | − | 0.711603i | −0.00378989 | − | 0.0795596i | ||||
\(81\) | 0.0475819 | + | 0.998867i | 0.00528688 | + | 0.110985i | ||||
\(82\) | 0.265627 | − | 0.767478i | 0.0293336 | − | 0.0847538i | ||||
\(83\) | −15.7783 | + | 4.63294i | −1.73190 | + | 0.508531i | −0.987284 | − | 0.158964i | \(-0.949185\pi\) |
−0.744614 | + | 0.667495i | \(0.767366\pi\) | |||||||
\(84\) | −2.61714 | + | 0.388020i | −0.285554 | + | 0.0423365i | ||||
\(85\) | 0.354553 | − | 0.409177i | 0.0384567 | − | 0.0443814i | ||||
\(86\) | −0.557716 | + | 0.0532554i | −0.0601401 | + | 0.00574268i | ||||
\(87\) | −2.14580 | + | 2.04602i | −0.230054 | + | 0.219356i | ||||
\(88\) | −5.08348 | − | 0.485414i | −0.541901 | − | 0.0517453i | ||||
\(89\) | 5.45011 | − | 4.28601i | 0.577710 | − | 0.454316i | −0.286053 | − | 0.958214i | \(-0.592343\pi\) |
0.863764 | + | 0.503897i | \(0.168101\pi\) | |||||||
\(90\) | −0.599317 | − | 0.385158i | −0.0631736 | − | 0.0405992i | ||||
\(91\) | 11.0699 | + | 2.63413i | 1.16044 | + | 0.276132i | ||||
\(92\) | −3.72283 | + | 3.02333i | −0.388132 | + | 0.315204i | ||||
\(93\) | 0.639772 | + | 1.10812i | 0.0663412 | + | 0.114906i | ||||
\(94\) | −1.23147 | + | 0.634868i | −0.127017 | + | 0.0654816i | ||||
\(95\) | −0.314036 | − | 0.125721i | −0.0322194 | − | 0.0128987i | ||||
\(96\) | 0.580057 | − | 0.814576i | 0.0592018 | − | 0.0831373i | ||||
\(97\) | −10.9517 | − | 3.21569i | −1.11197 | − | 0.326504i | −0.326373 | − | 0.945241i | \(-0.605827\pi\) |
−0.785598 | + | 0.618737i | \(0.787645\pi\) | |||||||
\(98\) | −6.52116 | − | 2.54449i | −0.658737 | − | 0.257033i | ||||
\(99\) | −3.34412 | + | 3.85932i | −0.336096 | + | 0.387876i | ||||
\(100\) | −4.17067 | + | 1.66968i | −0.417067 | + | 0.166968i | ||||
\(101\) | −0.179240 | + | 0.738839i | −0.0178351 | + | 0.0735172i | −0.980034 | − | 0.198832i | \(-0.936285\pi\) |
0.962199 | + | 0.272349i | \(0.0878005\pi\) | |||||||
\(102\) | 0.746247 | − | 0.143827i | 0.0738895 | − | 0.0142410i | ||||
\(103\) | 6.52331 | + | 3.36300i | 0.642761 | + | 0.331366i | 0.748605 | − | 0.663017i | \(-0.230724\pi\) |
−0.105844 | + | 0.994383i | \(0.533754\pi\) | |||||||
\(104\) | −3.61810 | + | 2.32521i | −0.354784 | + | 0.228006i | ||||
\(105\) | −0.871037 | − | 1.67152i | −0.0850045 | − | 0.163124i | ||||
\(106\) | 6.90069 | − | 2.02623i | 0.670254 | − | 0.196804i | ||||
\(107\) | −7.87124 | + | 3.15117i | −0.760942 | + | 0.304635i | −0.719488 | − | 0.694505i | \(-0.755623\pi\) |
−0.0414542 | + | 0.999140i | \(0.513199\pi\) | |||||||
\(108\) | −0.327068 | − | 0.945001i | −0.0314721 | − | 0.0909327i | ||||
\(109\) | 5.53188 | + | 7.76843i | 0.529858 | + | 0.744081i | 0.989580 | − | 0.143981i | \(-0.0459906\pi\) |
−0.459723 | + | 0.888063i | \(0.652051\pi\) | |||||||
\(110\) | −0.857690 | − | 3.53545i | −0.0817776 | − | 0.337092i | ||||
\(111\) | −4.68859 | − | 10.2666i | −0.445021 | − | 0.974460i | ||||
\(112\) | 2.40181 | − | 1.10964i | 0.226950 | − | 0.104851i | ||||
\(113\) | 11.6997 | + | 7.51892i | 1.10061 | + | 0.707321i | 0.959228 | − | 0.282634i | \(-0.0912082\pi\) |
0.141385 | + | 0.989955i | \(0.454845\pi\) | |||||||
\(114\) | −0.237410 | − | 0.411206i | −0.0222355 | − | 0.0385130i | ||||
\(115\) | −2.90283 | − | 1.80186i | −0.270691 | − | 0.168024i | ||||
\(116\) | 1.48245 | − | 2.56768i | 0.137642 | − | 0.238403i | ||||
\(117\) | −0.204643 | + | 4.29598i | −0.0189192 | + | 0.397163i | ||||
\(118\) | −0.0121489 | − | 0.0844972i | −0.00111839 | − | 0.00777859i | ||||
\(119\) | 1.90300 | + | 0.649297i | 0.174448 | + | 0.0595209i | ||||
\(120\) | 0.683552 | + | 0.200709i | 0.0623995 | + | 0.0183221i | ||||
\(121\) | −15.0092 | + | 1.43320i | −1.36447 | + | 0.130291i | ||||
\(122\) | −3.36216 | − | 9.71433i | −0.304396 | − | 0.879494i | ||||
\(123\) | 0.638389 | + | 0.502035i | 0.0575616 | + | 0.0452670i | ||||
\(124\) | −0.926049 | − | 0.882986i | −0.0831617 | − | 0.0792945i | ||||
\(125\) | −4.42852 | − | 5.11078i | −0.396098 | − | 0.457122i | ||||
\(126\) | 0.489304 | − | 2.60011i | 0.0435907 | − | 0.231636i | ||||
\(127\) | 6.51905 | − | 4.18954i | 0.578472 | − | 0.371761i | −0.218446 | − | 0.975849i | \(-0.570099\pi\) |
0.796918 | + | 0.604088i | \(0.206462\pi\) | |||||||
\(128\) | −0.327068 | + | 0.945001i | −0.0289090 | + | 0.0835271i | ||||
\(129\) | 0.132085 | − | 0.544460i | 0.0116294 | − | 0.0479371i | ||||
\(130\) | −2.40844 | − | 1.89402i | −0.211234 | − | 0.166116i | ||||
\(131\) | −14.9295 | − | 2.87743i | −1.30440 | − | 0.251402i | −0.510723 | − | 0.859745i | \(-0.670622\pi\) |
−0.793674 | + | 0.608344i | \(0.791834\pi\) | |||||||
\(132\) | 2.12136 | − | 4.64513i | 0.184641 | − | 0.404307i | ||||
\(133\) | −0.00551374 | − | 1.25624i | −0.000478102 | − | 0.108930i | ||||
\(134\) | −0.301133 | − | 0.659389i | −0.0260139 | − | 0.0569625i | ||||
\(135\) | 0.559992 | − | 0.440383i | 0.0481964 | − | 0.0379021i | ||||
\(136\) | −0.675498 | + | 0.348244i | −0.0579235 | + | 0.0298616i | ||||
\(137\) | −4.57159 | + | 7.91823i | −0.390578 | + | 0.676500i | −0.992526 | − | 0.122035i | \(-0.961058\pi\) |
0.601948 | + | 0.798535i | \(0.294391\pi\) | |||||||
\(138\) | −1.63943 | − | 4.50691i | −0.139558 | − | 0.383654i | ||||
\(139\) | −13.7895 | −1.16961 | −0.584807 | − | 0.811173i | \(-0.698830\pi\) | ||||
−0.584807 | + | 0.811173i | \(0.698830\pi\) | |||||||
\(140\) | 1.30668 | + | 1.35841i | 0.110434 | + | 0.114807i | ||||
\(141\) | −0.197176 | − | 1.37139i | −0.0166052 | − | 0.115492i | ||||
\(142\) | 2.03870 | − | 2.86295i | 0.171084 | − | 0.240253i | ||||
\(143\) | −15.8952 | + | 15.1560i | −1.32922 | + | 1.26741i | ||||
\(144\) | 0.580057 | + | 0.814576i | 0.0483381 | + | 0.0678813i | ||||
\(145\) | 2.07405 | + | 0.399741i | 0.172241 | + | 0.0331967i | ||||
\(146\) | −0.224768 | + | 1.56330i | −0.0186020 | + | 0.129379i | ||||
\(147\) | 4.53741 | − | 5.33028i | 0.374239 | − | 0.439634i | ||||
\(148\) | 7.39109 | + | 8.52978i | 0.607544 | + | 0.701143i | ||||
\(149\) | −16.7998 | − | 8.66091i | −1.37629 | − | 0.709529i | −0.398124 | − | 0.917332i | \(-0.630339\pi\) |
−0.978171 | + | 0.207802i | \(0.933369\pi\) | |||||||
\(150\) | −0.213760 | − | 4.48738i | −0.0174535 | − | 0.366393i | ||||
\(151\) | 2.73105 | − | 0.526367i | 0.222250 | − | 0.0428351i | −0.0769106 | − | 0.997038i | \(-0.524506\pi\) |
0.299160 | + | 0.954203i | \(0.403293\pi\) | |||||||
\(152\) | 0.343643 | + | 0.327663i | 0.0278732 | + | 0.0265770i | ||||
\(153\) | −0.108157 | + | 0.752246i | −0.00874394 | + | 0.0608155i | ||||
\(154\) | 10.9711 | − | 7.88527i | 0.884075 | − | 0.635413i | ||||
\(155\) | 0.378675 | − | 0.829184i | 0.0304159 | − | 0.0666016i | ||||
\(156\) | −1.01396 | − | 4.17961i | −0.0811820 | − | 0.334637i | ||||
\(157\) | −19.9700 | − | 1.90691i | −1.59378 | − | 0.152188i | −0.739922 | − | 0.672693i | \(-0.765138\pi\) |
−0.853859 | + | 0.520505i | \(0.825744\pi\) | |||||||
\(158\) | −9.31171 | − | 3.72785i | −0.740800 | − | 0.296571i | ||||
\(159\) | −0.342210 | + | 7.18387i | −0.0271390 | + | 0.569718i | ||||
\(160\) | −0.712410 | −0.0563209 | ||||||||
\(161\) | 2.15081 | − | 12.5050i | 0.169508 | − | 0.985529i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −0.735827 | + | 15.4469i | −0.0576344 | + | 1.20990i | 0.766025 | + | 0.642811i | \(0.222232\pi\) |
−0.823659 | + | 0.567085i | \(0.808071\pi\) | |||||||
\(164\) | −0.753970 | − | 0.301844i | −0.0588752 | − | 0.0235701i | ||||
\(165\) | 3.62152 | + | 0.345814i | 0.281935 | + | 0.0269216i | ||||
\(166\) | 3.87693 | + | 15.9809i | 0.300908 | + | 1.24036i | ||||
\(167\) | 0.987067 | − | 2.16138i | 0.0763815 | − | 0.167252i | −0.867589 | − | 0.497282i | \(-0.834331\pi\) |
0.943971 | + | 0.330030i | \(0.107059\pi\) | |||||||
\(168\) | 0.263052 | + | 2.63264i | 0.0202949 | + | 0.203113i | ||||
\(169\) | −0.782346 | + | 5.44133i | −0.0601804 | + | 0.418564i | ||||
\(170\) | −0.391843 | − | 0.373621i | −0.0300530 | − | 0.0286554i | ||||
\(171\) | 0.466239 | − | 0.0898602i | 0.0356542 | − | 0.00687178i | ||||
\(172\) | 0.0266579 | + | 0.559619i | 0.00203265 | + | 0.0426705i | ||||
\(173\) | −9.75870 | − | 5.03096i | −0.741940 | − | 0.382497i | 0.0454380 | − | 0.998967i | \(-0.485532\pi\) |
−0.787378 | + | 0.616471i | \(0.788562\pi\) | |||||||
\(174\) | 1.94160 | + | 2.24072i | 0.147192 | + | 0.169869i | ||||
\(175\) | 5.40004 | − | 10.5885i | 0.408205 | − | 0.800413i | ||||
\(176\) | −0.726746 | + | 5.05463i | −0.0547805 | + | 0.381007i | ||||
\(177\) | 0.0838234 | + | 0.0161556i | 0.00630055 | + | 0.00121433i | ||||
\(178\) | −4.02183 | − | 5.64787i | −0.301449 | − | 0.423326i | ||||
\(179\) | −2.56536 | + | 2.44606i | −0.191744 | + | 0.182827i | −0.779869 | − | 0.625942i | \(-0.784715\pi\) |
0.588126 | + | 0.808770i | \(0.299866\pi\) | |||||||
\(180\) | −0.413238 | + | 0.580312i | −0.0308010 | + | 0.0432539i | ||||
\(181\) | −0.0864450 | − | 0.601238i | −0.00642541 | − | 0.0446897i | 0.986356 | − | 0.164623i | \(-0.0526409\pi\) |
−0.992782 | + | 0.119934i | \(0.961732\pi\) | |||||||
\(182\) | 3.15788 | − | 10.9320i | 0.234077 | − | 0.810334i | ||||
\(183\) | 10.2797 | 0.759897 | ||||||||
\(184\) | 2.84277 | + | 3.86247i | 0.209572 | + | 0.284745i | ||||
\(185\) | −4.02031 | + | 6.96338i | −0.295579 | + | 0.511958i | ||||
\(186\) | 1.13730 | − | 0.586321i | 0.0833912 | − | 0.0429911i | ||||
\(187\) | −3.05061 | + | 2.39903i | −0.223083 | + | 0.175434i | ||||
\(188\) | 0.575553 | + | 1.26029i | 0.0419765 | + | 0.0919158i | ||||
\(189\) | 2.29707 | + | 1.31281i | 0.167087 | + | 0.0954926i | ||||
\(190\) | −0.140521 | + | 0.307698i | −0.0101945 | + | 0.0223227i | ||||
\(191\) | 4.53588 | + | 0.874218i | 0.328204 | + | 0.0632562i | 0.350692 | − | 0.936491i | \(-0.385946\pi\) |
−0.0224874 | + | 0.999747i | \(0.507159\pi\) | |||||||
\(192\) | −0.786053 | − | 0.618159i | −0.0567285 | − | 0.0446118i | ||||
\(193\) | 1.68881 | − | 6.96137i | 0.121563 | − | 0.501090i | −0.878178 | − | 0.478334i | \(-0.841241\pi\) |
0.999741 | − | 0.0227559i | \(-0.00724406\pi\) | |||||||
\(194\) | −3.73315 | + | 10.7862i | −0.268025 | + | 0.774407i | ||||
\(195\) | 2.57757 | − | 1.65650i | 0.184584 | − | 0.118625i | ||||
\(196\) | −2.85190 | + | 6.39270i | −0.203707 | + | 0.456622i | ||||
\(197\) | 0.695130 | + | 0.802223i | 0.0495260 | + | 0.0571560i | 0.779972 | − | 0.625814i | \(-0.215233\pi\) |
−0.730446 | + | 0.682970i | \(0.760688\pi\) | |||||||
\(198\) | 3.69583 | + | 3.52396i | 0.262651 | + | 0.250437i | ||||
\(199\) | 14.3848 | + | 11.3123i | 1.01971 | + | 0.801910i | 0.980340 | − | 0.197314i | \(-0.0632220\pi\) |
0.0393716 | + | 0.999225i | \(0.487464\pi\) | |||||||
\(200\) | 1.46934 | + | 4.24539i | 0.103898 | + | 0.300194i | ||||
\(201\) | 0.721614 | − | 0.0689058i | 0.0508987 | − | 0.00486024i | ||||
\(202\) | 0.729473 | + | 0.214193i | 0.0513256 | + | 0.0150705i | ||||
\(203\) | 1.51835 | + | 7.69604i | 0.106567 | + | 0.540156i | ||||
\(204\) | −0.108157 | − | 0.752246i | −0.00757248 | − | 0.0526677i | ||||
\(205\) | 0.0275300 | − | 0.577925i | 0.00192278 | − | 0.0403640i | ||||
\(206\) | 3.66958 | − | 6.35590i | 0.255672 | − | 0.442837i | ||||
\(207\) | 4.79524 | − | 0.0751982i | 0.333292 | − | 0.00522664i | ||||
\(208\) | 2.15042 | + | 3.72464i | 0.149105 | + | 0.258258i | ||||
\(209\) | 2.03980 | + | 1.31090i | 0.141096 | + | 0.0906770i | ||||
\(210\) | −1.71108 | + | 0.790516i | −0.118075 | + | 0.0545508i | ||||
\(211\) | 11.8030 | + | 25.8450i | 0.812552 | + | 1.77924i | 0.596030 | + | 0.802962i | \(0.296744\pi\) |
0.216522 | + | 0.976278i | \(0.430529\pi\) | |||||||
\(212\) | −1.69558 | − | 6.98929i | −0.116453 | − | 0.480026i | ||||
\(213\) | 2.03870 | + | 2.86295i | 0.139689 | + | 0.196166i | ||||
\(214\) | 2.77307 | + | 8.01227i | 0.189563 | + | 0.547707i | ||||
\(215\) | −0.370539 | + | 0.148342i | −0.0252706 | + | 0.0101168i | ||||
\(216\) | −0.959493 | + | 0.281733i | −0.0652852 | + | 0.0191695i | ||||
\(217\) | 3.38219 | + | 0.146239i | 0.229598 | + | 0.00992732i | ||||
\(218\) | 8.02285 | − | 5.15597i | 0.543376 | − | 0.349207i | ||||
\(219\) | −1.40380 | − | 0.723711i | −0.0948602 | − | 0.0489038i | ||||
\(220\) | −3.57225 | + | 0.688495i | −0.240841 | + | 0.0464184i | ||||
\(221\) | −0.770593 | + | 3.17643i | −0.0518357 | + | 0.213670i | ||||
\(222\) | −10.4780 | + | 4.19477i | −0.703240 | + | 0.281535i | ||||
\(223\) | 4.72706 | − | 5.45531i | 0.316547 | − | 0.365315i | −0.575071 | − | 0.818104i | \(-0.695025\pi\) |
0.891618 | + | 0.452789i | \(0.149571\pi\) | |||||||
\(224\) | −0.994097 | − | 2.45189i | −0.0664209 | − | 0.163824i | ||||
\(225\) | 4.31050 | + | 1.26568i | 0.287366 | + | 0.0843784i | ||||
\(226\) | 8.06710 | − | 11.3287i | 0.536615 | − | 0.753571i | ||||
\(227\) | −18.3682 | − | 7.35354i | −1.21914 | − | 0.488071i | −0.329251 | − | 0.944242i | \(-0.606796\pi\) |
−0.889892 | + | 0.456171i | \(0.849221\pi\) | |||||||
\(228\) | −0.422037 | + | 0.217575i | −0.0279501 | + | 0.0144093i | ||||
\(229\) | −10.4201 | − | 18.0482i | −0.688583 | − | 1.19266i | −0.972296 | − | 0.233751i | \(-0.924900\pi\) |
0.283714 | − | 0.958909i | \(-0.408433\pi\) | |||||||
\(230\) | −1.93794 | + | 2.81381i | −0.127784 | + | 0.185537i | ||||
\(231\) | 3.86330 | + | 12.9467i | 0.254186 | + | 0.851830i | ||||
\(232\) | −2.49423 | − | 1.60295i | −0.163754 | − | 0.105239i | ||||
\(233\) | 3.16445 | − | 2.48855i | 0.207310 | − | 0.163030i | −0.509106 | − | 0.860704i | \(-0.670024\pi\) |
0.716416 | + | 0.697674i | \(0.245781\pi\) | |||||||
\(234\) | 4.28137 | + | 0.408822i | 0.279882 | + | 0.0267255i | ||||
\(235\) | −0.714352 | + | 0.681133i | −0.0465992 | + | 0.0444322i | ||||
\(236\) | −0.0849795 | + | 0.00811456i | −0.00553170 | + | 0.000528213i | ||||
\(237\) | 6.56838 | − | 7.58031i | 0.426662 | − | 0.492394i | ||||
\(238\) | 0.739110 | − | 1.86995i | 0.0479094 | − | 0.121211i | ||||
\(239\) | 1.02006 | − | 0.299516i | 0.0659821 | − | 0.0193741i | −0.248575 | − | 0.968613i | \(-0.579962\pi\) |
0.314557 | + | 0.949239i | \(0.398144\pi\) | |||||||
\(240\) | 0.233006 | − | 0.673228i | 0.0150405 | − | 0.0434567i | ||||
\(241\) | −0.674448 | − | 14.1584i | −0.0434450 | − | 0.912023i | −0.910423 | − | 0.413678i | \(-0.864244\pi\) |
0.866978 | − | 0.498346i | \(-0.166059\pi\) | |||||||
\(242\) | 0.717413 | + | 15.0604i | 0.0461171 | + | 0.968117i | ||||
\(243\) | −0.327068 | + | 0.945001i | −0.0209814 | + | 0.0606218i | ||||
\(244\) | −9.86330 | + | 2.89613i | −0.631433 | + | 0.185406i | ||||
\(245\) | −4.96826 | − | 0.430437i | −0.317410 | − | 0.0274996i | ||||
\(246\) | 0.531842 | − | 0.613779i | 0.0339090 | − | 0.0391331i | ||||
\(247\) | 2.03288 | − | 0.194117i | 0.129349 | − | 0.0123513i | ||||
\(248\) | −0.926049 | + | 0.882986i | −0.0588042 | + | 0.0560697i | ||||
\(249\) | −16.3700 | − | 1.56315i | −1.03741 | − | 0.0990603i | ||||
\(250\) | −5.31571 | + | 4.18032i | −0.336195 | + | 0.264387i | ||||
\(251\) | 6.71329 | + | 4.31437i | 0.423739 | + | 0.272321i | 0.735084 | − | 0.677976i | \(-0.237143\pi\) |
−0.311344 | + | 0.950297i | \(0.600779\pi\) | |||||||
\(252\) | −2.57388 | − | 0.612469i | −0.162139 | − | 0.0385819i | ||||
\(253\) | 17.9874 | + | 16.6203i | 1.13086 | + | 1.04491i | ||||
\(254\) | −3.87460 | − | 6.71101i | −0.243114 | − | 0.421086i | ||||
\(255\) | 0.481232 | − | 0.248092i | 0.0301359 | − | 0.0155361i | ||||
\(256\) | 0.928368 | + | 0.371662i | 0.0580230 | + | 0.0232289i | ||||
\(257\) | −4.98225 | + | 6.99660i | −0.310784 | + | 0.436436i | −0.940195 | − | 0.340638i | \(-0.889357\pi\) |
0.629410 | + | 0.777073i | \(0.283297\pi\) | |||||||
\(258\) | −0.537559 | − | 0.157842i | −0.0334670 | − | 0.00982679i | ||||
\(259\) | −29.5757 | − | 4.11994i | −1.83775 | − | 0.256001i | ||||
\(260\) | −2.00647 | + | 2.31559i | −0.124436 | + | 0.143607i | ||||
\(261\) | −2.75252 | + | 1.10194i | −0.170377 | + | 0.0682085i | ||||
\(262\) | −3.58454 | + | 14.7757i | −0.221454 | + | 0.912844i | ||||
\(263\) | −21.2749 | + | 4.10039i | −1.31186 | + | 0.252841i | −0.796765 | − | 0.604289i | \(-0.793457\pi\) |
−0.515099 | + | 0.857130i | \(0.672245\pi\) | |||||||
\(264\) | −4.53893 | − | 2.33998i | −0.279352 | − | 0.144016i | ||||
\(265\) | 4.31030 | − | 2.77006i | 0.264780 | − | 0.170164i | ||||
\(266\) | −1.25508 | − | 0.0542670i | −0.0769541 | − | 0.00332732i | ||||
\(267\) | 6.65265 | − | 1.95340i | 0.407136 | − | 0.119546i | ||||
\(268\) | −0.672970 | + | 0.269417i | −0.0411082 | + | 0.0164572i | ||||
\(269\) | −9.96826 | − | 28.8014i | −0.607775 | − | 1.75605i | −0.653312 | − | 0.757089i | \(-0.726621\pi\) |
0.0455368 | − | 0.998963i | \(-0.485500\pi\) | |||||||
\(270\) | −0.413238 | − | 0.580312i | −0.0251489 | − | 0.0353167i | ||||
\(271\) | 4.43089 | + | 18.2644i | 0.269157 | + | 1.10948i | 0.932501 | + | 0.361167i | \(0.117622\pi\) |
−0.663344 | + | 0.748315i | \(0.730863\pi\) | |||||||
\(272\) | 0.315708 | + | 0.691303i | 0.0191426 | + | 0.0419164i | ||||
\(273\) | 9.29792 | + | 6.55971i | 0.562736 | + | 0.397011i | ||||
\(274\) | 7.69174 | + | 4.94318i | 0.464675 | + | 0.298628i | ||||
\(275\) | 11.4706 | + | 19.8677i | 0.691706 | + | 1.19807i | ||||
\(276\) | −4.57982 | + | 1.42313i | −0.275672 | + | 0.0856622i | ||||
\(277\) | −3.20847 | + | 5.55724i | −0.192778 | + | 0.333902i | −0.946170 | − | 0.323670i | \(-0.895083\pi\) |
0.753392 | + | 0.657572i | \(0.228417\pi\) | |||||||
\(278\) | −0.656133 | + | 13.7739i | −0.0393522 | + | 0.826105i | ||||
\(279\) | 0.182098 | + | 1.26652i | 0.0109019 | + | 0.0758246i | ||||
\(280\) | 1.41905 | − | 1.24056i | 0.0848045 | − | 0.0741377i | ||||
\(281\) | −3.16225 | − | 0.928520i | −0.188644 | − | 0.0553909i | 0.186046 | − | 0.982541i | \(-0.440433\pi\) |
−0.374690 | + | 0.927150i | \(0.622251\pi\) | |||||||
\(282\) | −1.37922 | + | 0.131699i | −0.0821311 | + | 0.00784257i | ||||
\(283\) | 2.77745 | + | 8.02492i | 0.165102 | + | 0.477032i | 0.996956 | − | 0.0779626i | \(-0.0248415\pi\) |
−0.831854 | + | 0.554995i | \(0.812720\pi\) | |||||||
\(284\) | −2.76270 | − | 2.17261i | −0.163936 | − | 0.128921i | ||||
\(285\) | −0.244815 | − | 0.233430i | −0.0145016 | − | 0.0138272i | ||||
\(286\) | 14.3825 | + | 16.5983i | 0.850457 | + | 0.981480i | ||||
\(287\) | 2.02745 | − | 0.711688i | 0.119677 | − | 0.0420096i | ||||
\(288\) | 0.841254 | − | 0.540641i | 0.0495713 | − | 0.0318576i | ||||
\(289\) | 5.37125 | − | 15.5192i | 0.315956 | − | 0.912895i | ||||
\(290\) | 0.497976 | − | 2.05268i | 0.0292421 | − | 0.120538i | ||||
\(291\) | −8.97201 | − | 7.05567i | −0.525948 | − | 0.413610i | ||||
\(292\) | 1.55083 | + | 0.298898i | 0.0907556 | + | 0.0174917i | ||||
\(293\) | −7.46644 | + | 16.3492i | −0.436194 | + | 0.955132i | 0.556087 | + | 0.831124i | \(0.312302\pi\) |
−0.992281 | + | 0.124008i | \(0.960425\pi\) | |||||||
\(294\) | −5.10835 | − | 4.78590i | −0.297925 | − | 0.279119i | ||||
\(295\) | −0.0252637 | − | 0.0553198i | −0.00147091 | − | 0.00322085i | ||||
\(296\) | 8.87180 | − | 6.97686i | 0.515663 | − | 0.405522i | ||||
\(297\) | −4.53893 | + | 2.33998i | −0.263376 | + | 0.135780i | ||||
\(298\) | −9.45047 | + | 16.3687i | −0.547451 | + | 0.948213i | ||||
\(299\) | 20.5610 | + | 1.63845i | 1.18907 | + | 0.0947538i | ||||
\(300\) | −4.49247 | −0.259373 | ||||||||
\(301\) | −1.02760 | − | 1.06828i | −0.0592297 | − | 0.0615749i | ||||
\(302\) | −0.395822 | − | 2.75300i | −0.0227770 | − | 0.158417i | ||||
\(303\) | −0.441000 | + | 0.619297i | −0.0253348 | + | 0.0355777i | ||||
\(304\) | 0.343643 | − | 0.327663i | 0.0197093 | − | 0.0187928i | ||||
\(305\) | −4.24797 | − | 5.96543i | −0.243238 | − | 0.341580i | ||||
\(306\) | 0.746247 | + | 0.143827i | 0.0426601 | + | 0.00822207i | ||||
\(307\) | 4.21548 | − | 29.3193i | 0.240590 | − | 1.67334i | −0.408599 | − | 0.912714i | \(-0.633983\pi\) |
0.649189 | − | 0.760627i | \(-0.275108\pi\) | |||||||
\(308\) | −7.35431 | − | 11.3339i | −0.419051 | − | 0.645806i | ||||
\(309\) | 4.80613 | + | 5.54657i | 0.273411 | + | 0.315533i | ||||
\(310\) | −0.810226 | − | 0.417701i | −0.0460178 | − | 0.0237238i | ||||
\(311\) | 1.43853 | + | 30.1984i | 0.0815713 | + | 1.71239i | 0.555240 | + | 0.831690i | \(0.312626\pi\) |
−0.473669 | + | 0.880703i | \(0.657071\pi\) | |||||||
\(312\) | −4.22313 | + | 0.813941i | −0.239087 | + | 0.0460803i | ||||
\(313\) | −23.9976 | − | 22.8817i | −1.35643 | − | 1.29335i | −0.919087 | − | 0.394054i | \(-0.871072\pi\) |
−0.437340 | − | 0.899296i | \(-0.644079\pi\) | |||||||
\(314\) | −2.85496 | + | 19.8567i | −0.161115 | + | 1.12058i | ||||
\(315\) | −0.187401 | − | 1.87552i | −0.0105588 | − | 0.105674i | ||||
\(316\) | −4.16669 | + | 9.12378i | −0.234395 | + | 0.513253i | ||||
\(317\) | 2.71191 | + | 11.1786i | 0.152316 | + | 0.627854i | 0.995868 | + | 0.0908078i | \(0.0289449\pi\) |
−0.843553 | + | 0.537046i | \(0.819540\pi\) | |||||||
\(318\) | 7.15945 | + | 0.683645i | 0.401482 | + | 0.0383369i | ||||
\(319\) | −14.0560 | − | 5.62718i | −0.786986 | − | 0.315062i | ||||
\(320\) | −0.0338978 | + | 0.711603i | −0.00189495 | + | 0.0397798i | ||||
\(321\) | −8.47858 | −0.473228 | ||||||||
\(322\) | −12.3885 | − | 2.74338i | −0.690382 | − | 0.152883i | ||||
\(323\) | 0.360854 | 0.0200785 | ||||||||
\(324\) | 0.0475819 | − | 0.998867i | 0.00264344 | − | 0.0554926i | ||||
\(325\) | 17.9374 | + | 7.18105i | 0.994988 | + | 0.398333i | ||||
\(326\) | 15.3944 | + | 1.46999i | 0.852617 | + | 0.0814151i | ||||
\(327\) | 2.24838 | + | 9.26796i | 0.124336 | + | 0.512519i | ||||
\(328\) | −0.337377 | + | 0.738754i | −0.0186286 | + | 0.0407908i | ||||
\(329\) | −3.34105 | − | 1.50812i | −0.184198 | − | 0.0831454i | ||||
\(330\) | 0.517741 | − | 3.60097i | 0.0285007 | − | 0.198227i | ||||
\(331\) | 0.251225 | + | 0.239542i | 0.0138086 | + | 0.0131664i | 0.696952 | − | 0.717118i | \(-0.254539\pi\) |
−0.683143 | + | 0.730284i | \(0.739388\pi\) | |||||||
\(332\) | 16.1473 | − | 3.11214i | 0.886198 | − | 0.170801i | ||||
\(333\) | −0.537034 | − | 11.2737i | −0.0294293 | − | 0.617797i | ||||
\(334\) | −2.11196 | − | 1.08879i | −0.115561 | − | 0.0595760i | ||||
\(335\) | −0.338185 | − | 0.390287i | −0.0184770 | − | 0.0213236i | ||||
\(336\) | 2.64218 | − | 0.137488i | 0.144143 | − | 0.00750058i | ||||
\(337\) | 1.73629 | − | 12.0761i | 0.0945815 | − | 0.657829i | −0.886284 | − | 0.463142i | \(-0.846722\pi\) |
0.980865 | − | 0.194687i | \(-0.0623690\pi\) | |||||||
\(338\) | 5.39795 | + | 1.04037i | 0.293610 | + | 0.0565886i | ||||
\(339\) | 8.06710 | + | 11.3287i | 0.438145 | + | 0.615288i | ||||
\(340\) | −0.391843 | + | 0.373621i | −0.0212507 | + | 0.0202625i | ||||
\(341\) | −3.79017 | + | 5.32254i | −0.205249 | + | 0.288232i | ||||
\(342\) | −0.0675739 | − | 0.469987i | −0.00365398 | − | 0.0254140i | ||||
\(343\) | −5.45128 | − | 17.6998i | −0.294342 | − | 0.955700i | ||||
\(344\) | 0.560253 | 0.0302068 | ||||||||
\(345\) | −2.02522 | − | 2.75166i | −0.109034 | − | 0.148144i | ||||
\(346\) | −5.48960 | + | 9.50826i | −0.295123 | + | 0.511167i | ||||
\(347\) | 16.5060 | − | 8.50945i | 0.886090 | − | 0.456811i | 0.0458012 | − | 0.998951i | \(-0.485416\pi\) |
0.840288 | + | 0.542140i | \(0.182386\pi\) | |||||||
\(348\) | 2.33057 | − | 1.83278i | 0.124932 | − | 0.0982473i | ||||
\(349\) | 3.49422 | + | 7.65127i | 0.187041 | + | 0.409563i | 0.979802 | − | 0.199970i | \(-0.0640843\pi\) |
−0.792761 | + | 0.609533i | \(0.791357\pi\) | |||||||
\(350\) | −10.3195 | − | 5.89775i | −0.551602 | − | 0.315248i | ||||
\(351\) | −1.78664 | + | 3.91219i | −0.0953636 | + | 0.208817i | ||||
\(352\) | 5.01432 | + | 0.966432i | 0.267264 | + | 0.0515110i | ||||
\(353\) | −19.0529 | − | 14.9834i | −1.01408 | − | 0.797485i | −0.0346809 | − | 0.999398i | \(-0.511041\pi\) |
−0.979403 | + | 0.201914i | \(0.935284\pi\) | |||||||
\(354\) | 0.0201258 | − | 0.0829597i | 0.00106967 | − | 0.00440926i | ||||
\(355\) | 0.818936 | − | 2.36616i | 0.0434646 | − | 0.125583i | ||||
\(356\) | −5.83284 | + | 3.74854i | −0.309140 | + | 0.198672i | ||||
\(357\) | 1.52537 | + | 1.31006i | 0.0807310 | + | 0.0693357i | ||||
\(358\) | 2.32123 | + | 2.67884i | 0.122681 | + | 0.141581i | ||||
\(359\) | −2.84742 | − | 2.71501i | −0.150281 | − | 0.143293i | 0.611209 | − | 0.791469i | \(-0.290683\pi\) |
−0.761490 | + | 0.648176i | \(0.775532\pi\) | |||||||
\(360\) | 0.559992 | + | 0.440383i | 0.0295142 | + | 0.0232102i | ||||
\(361\) | 6.14055 | + | 17.7420i | 0.323187 | + | 0.933787i | ||||
\(362\) | −0.604670 | + | 0.0577390i | −0.0317808 | + | 0.00303470i | ||||
\(363\) | −14.4667 | − | 4.24781i | −0.759305 | − | 0.222952i | ||||
\(364\) | −10.7694 | − | 3.67447i | −0.564468 | − | 0.192594i | ||||
\(365\) | 0.160127 | + | 1.11371i | 0.00838144 | + | 0.0582942i | ||||
\(366\) | 0.489128 | − | 10.2681i | 0.0255671 | − | 0.536720i | ||||
\(367\) | −12.9174 | + | 22.3736i | −0.674283 | + | 1.16789i | 0.302395 | + | 0.953183i | \(0.402214\pi\) |
−0.976678 | + | 0.214710i | \(0.931119\pi\) | |||||||
\(368\) | 3.99336 | − | 2.65576i | 0.208168 | − | 0.138441i | ||||
\(369\) | 0.406073 | + | 0.703339i | 0.0211393 | + | 0.0366143i | ||||
\(370\) | 6.76420 | + | 4.34709i | 0.351654 | + | 0.225994i | ||||
\(371\) | 15.5483 | + | 10.9694i | 0.807227 | + | 0.569501i | ||||
\(372\) | −0.531542 | − | 1.16391i | −0.0275592 | − | 0.0603461i | ||||
\(373\) | −2.74118 | − | 11.2993i | −0.141933 | − | 0.585055i | −0.997706 | − | 0.0677030i | \(-0.978433\pi\) |
0.855773 | − | 0.517352i | \(-0.173082\pi\) | |||||||
\(374\) | 2.25116 | + | 3.16131i | 0.116405 | + | 0.163467i | ||||
\(375\) | −2.21181 | − | 6.39060i | −0.114217 | − | 0.330009i | ||||
\(376\) | 1.28624 | − | 0.514935i | 0.0663330 | − | 0.0265557i | ||||
\(377\) | −12.2351 | + | 3.59254i | −0.630137 | + | 0.185025i | ||||
\(378\) | 1.42062 | − | 2.23200i | 0.0730687 | − | 0.114802i | ||||
\(379\) | −17.9314 | + | 11.5238i | −0.921073 | + | 0.591937i | −0.912969 | − | 0.408030i | \(-0.866216\pi\) |
−0.00810390 | + | 0.999967i | \(0.502580\pi\) | |||||||
\(380\) | 0.300663 | + | 0.155003i | 0.0154237 | + | 0.00795147i | ||||
\(381\) | 7.60917 | − | 1.46655i | 0.389830 | − | 0.0751335i | ||||
\(382\) | 1.08905 | − | 4.48914i | 0.0557208 | − | 0.229684i | ||||
\(383\) | −16.8427 | + | 6.74279i | −0.860620 | + | 0.344540i | −0.759637 | − | 0.650348i | \(-0.774623\pi\) |
−0.100984 | + | 0.994888i | \(0.532199\pi\) | |||||||
\(384\) | −0.654861 | + | 0.755750i | −0.0334182 | + | 0.0385667i | ||||
\(385\) | 5.91666 | − | 7.59199i | 0.301541 | − | 0.386924i | ||||
\(386\) | −6.87312 | − | 2.01813i | −0.349833 | − | 0.102720i | ||||
\(387\) | 0.324979 | − | 0.456369i | 0.0165196 | − | 0.0231985i | ||||
\(388\) | 10.5964 | + | 4.24215i | 0.537950 | + | 0.215363i | ||||
\(389\) | 29.0071 | − | 14.9542i | 1.47072 | − | 0.758208i | 0.477964 | − | 0.878379i | \(-0.341375\pi\) |
0.992753 | + | 0.120172i | \(0.0383445\pi\) | |||||||
\(390\) | −1.53198 | − | 2.65347i | −0.0775750 | − | 0.134364i | ||||
\(391\) | 3.58925 | + | 0.633571i | 0.181516 | + | 0.0320410i | ||||
\(392\) | 6.24976 | + | 3.15285i | 0.315661 | + | 0.159243i | ||||
\(393\) | −12.7906 | − | 8.22004i | −0.645202 | − | 0.414646i | ||||
\(394\) | 0.834390 | − | 0.656171i | 0.0420359 | − | 0.0330574i | ||||
\(395\) | −7.11325 | − | 0.679233i | −0.357906 | − | 0.0341759i | ||||
\(396\) | 3.69583 | − | 3.52396i | 0.185722 | − | 0.177086i | ||||
\(397\) | 7.32250 | − | 0.699214i | 0.367506 | − | 0.0350925i | 0.0903302 | − | 0.995912i | \(-0.471208\pi\) |
0.277175 | + | 0.960819i | \(0.410602\pi\) | |||||||
\(398\) | 11.9840 | − | 13.8303i | 0.600703 | − | 0.693248i | ||||
\(399\) | 0.461780 | − | 1.16831i | 0.0231179 | − | 0.0584884i | ||||
\(400\) | 4.31050 | − | 1.26568i | 0.215525 | − | 0.0632838i | ||||
\(401\) | 11.3964 | − | 32.9277i | 0.569108 | − | 1.64433i | −0.181355 | − | 0.983418i | \(-0.558048\pi\) |
0.750463 | − | 0.660912i | \(-0.229830\pi\) | |||||||
\(402\) | −0.0344919 | − | 0.724075i | −0.00172030 | − | 0.0361136i | ||||
\(403\) | 0.261849 | + | 5.49689i | 0.0130436 | + | 0.273820i | ||||
\(404\) | 0.248660 | − | 0.718455i | 0.0123713 | − | 0.0357445i | ||||
\(405\) | 0.683552 | − | 0.200709i | 0.0339660 | − | 0.00997331i | ||||
\(406\) | 7.75957 | − | 1.15044i | 0.385101 | − | 0.0570954i | ||||
\(407\) | 37.7434 | − | 43.5582i | 1.87087 | − | 2.15910i | ||||
\(408\) | −0.756540 | + | 0.0722408i | −0.0374543 | + | 0.00357645i | ||||
\(409\) | −18.8903 | + | 18.0118i | −0.934063 | + | 0.890628i | −0.994198 | − | 0.107563i | \(-0.965695\pi\) |
0.0601350 | + | 0.998190i | \(0.480847\pi\) | |||||||
\(410\) | −0.575961 | − | 0.0549976i | −0.0284447 | − | 0.00271614i | ||||
\(411\) | −7.18703 | + | 5.65194i | −0.354510 | + | 0.278790i | ||||
\(412\) | −6.17410 | − | 3.96785i | −0.304176 | − | 0.195482i | ||||
\(413\) | 0.155140 | − | 0.164143i | 0.00763396 | − | 0.00807696i | ||||
\(414\) | 0.153054 | − | 4.79339i | 0.00752218 | − | 0.235582i | ||||
\(415\) | 5.85760 | + | 10.1457i | 0.287538 | + | 0.498031i | ||||
\(416\) | 3.82275 | − | 1.97076i | 0.187426 | − | 0.0966246i | ||||
\(417\) | −12.8018 | − | 5.12506i | −0.626905 | − | 0.250975i | ||||
\(418\) | 1.40647 | − | 1.97512i | 0.0687929 | − | 0.0966062i | ||||
\(419\) | −3.56456 | − | 1.04665i | −0.174140 | − | 0.0511321i | 0.193500 | − | 0.981100i | \(-0.438016\pi\) |
−0.367640 | + | 0.929968i | \(0.619834\pi\) | |||||||
\(420\) | 0.708205 | + | 1.74675i | 0.0345569 | + | 0.0852327i | ||||
\(421\) | 10.5407 | − | 12.1646i | 0.513721 | − | 0.592865i | −0.438327 | − | 0.898816i | \(-0.644429\pi\) |
0.952047 | + | 0.305950i | \(0.0989742\pi\) | |||||||
\(422\) | 26.3773 | − | 10.5599i | 1.28403 | − | 0.514047i | ||||
\(423\) | 0.326642 | − | 1.34643i | 0.0158819 | − | 0.0654659i | ||||
\(424\) | −7.06205 | + | 1.36110i | −0.342963 | + | 0.0661008i | ||||
\(425\) | 3.03466 | + | 1.56447i | 0.147203 | + | 0.0758882i | ||||
\(426\) | 2.95671 | − | 1.90016i | 0.143253 | − | 0.0920633i | ||||
\(427\) | 14.6035 | − | 22.9443i | 0.706715 | − | 1.11035i | ||||
\(428\) | 8.13514 | − | 2.38869i | 0.393227 | − | 0.115462i | ||||
\(429\) | −20.3895 | + | 8.16273i | −0.984414 | + | 0.394100i | ||||
\(430\) | 0.130543 | + | 0.377178i | 0.00629532 | + | 0.0181891i | ||||
\(431\) | 0.554499 | + | 0.778684i | 0.0267093 | + | 0.0375079i | 0.827715 | − | 0.561149i | \(-0.189641\pi\) |
−0.801005 | + | 0.598657i | \(0.795701\pi\) | |||||||
\(432\) | 0.235759 | + | 0.971812i | 0.0113430 | + | 0.0467563i | ||||
\(433\) | −13.9134 | − | 30.4662i | −0.668637 | − | 1.46411i | −0.874249 | − | 0.485477i | \(-0.838646\pi\) |
0.205613 | − | 0.978633i | \(-0.434081\pi\) | |||||||
\(434\) | 0.307004 | − | 3.37141i | 0.0147367 | − | 0.161833i | ||||
\(435\) | 1.77692 | + | 1.14195i | 0.0851966 | + | 0.0547525i | ||||
\(436\) | −4.76839 | − | 8.25910i | −0.228365 | − | 0.395539i | ||||
\(437\) | −0.359375 | − | 2.24862i | −0.0171913 | − | 0.107566i | ||||
\(438\) | −0.789687 | + | 1.36778i | −0.0377327 | + | 0.0653549i | ||||
\(439\) | −0.761872 | + | 15.9937i | −0.0363622 | + | 0.763336i | 0.904893 | + | 0.425639i | \(0.139951\pi\) |
−0.941255 | + | 0.337696i | \(0.890352\pi\) | |||||||
\(440\) | 0.517741 | + | 3.60097i | 0.0246823 | + | 0.171669i | ||||
\(441\) | 6.19345 | − | 3.26208i | 0.294926 | − | 0.155337i | ||||
\(442\) | 3.13616 | + | 0.920861i | 0.149172 | + | 0.0438009i | ||||
\(443\) | 26.0506 | − | 2.48753i | 1.23770 | − | 0.118186i | 0.544396 | − | 0.838829i | \(-0.316759\pi\) |
0.693307 | + | 0.720642i | \(0.256153\pi\) | |||||||
\(444\) | 3.69146 | + | 10.6658i | 0.175189 | + | 0.506175i | ||||
\(445\) | −3.88271 | − | 3.05340i | −0.184058 | − | 0.144745i | ||||
\(446\) | −5.22421 | − | 4.98128i | −0.247374 | − | 0.235870i | ||||
\(447\) | −12.3775 | − | 14.2844i | −0.585435 | − | 0.675628i | ||||
\(448\) | −2.49642 | + | 0.876306i | −0.117945 | + | 0.0414016i | ||||
\(449\) | 13.0622 | − | 8.39454i | 0.616441 | − | 0.396163i | −0.194826 | − | 0.980838i | \(-0.562414\pi\) |
0.811268 | + | 0.584675i | \(0.198778\pi\) | |||||||
\(450\) | 1.46934 | − | 4.24539i | 0.0692655 | − | 0.200130i | ||||
\(451\) | −0.977765 | + | 4.03040i | −0.0460412 | + | 0.189784i | ||||
\(452\) | −10.9320 | − | 8.59700i | −0.514197 | − | 0.404369i | ||||
\(453\) | 2.73105 | + | 0.526367i | 0.128316 | + | 0.0247309i | ||||
\(454\) | −8.21921 | + | 17.9975i | −0.385746 | + | 0.844667i | ||||
\(455\) | −0.0355796 | − | 8.10641i | −0.00166800 | − | 0.380035i | ||||
\(456\) | 0.197247 | + | 0.431911i | 0.00923695 | + | 0.0202261i | ||||
\(457\) | 0.117558 | − | 0.0924487i | 0.00549913 | − | 0.00432457i | −0.615406 | − | 0.788211i | \(-0.711008\pi\) |
0.620905 | + | 0.783886i | \(0.286765\pi\) | |||||||
\(458\) | −18.5236 | + | 9.54957i | −0.865550 | + | 0.446222i | ||||
\(459\) | −0.379991 | + | 0.658163i | −0.0177364 | + | 0.0307204i | ||||
\(460\) | 2.71841 | + | 2.06963i | 0.126747 | + | 0.0964970i | ||||
\(461\) | 3.09140 | 0.143981 | 0.0719905 | − | 0.997405i | \(-0.477065\pi\) | ||||
0.0719905 | + | 0.997405i | \(0.477065\pi\) | |||||||
\(462\) | 13.1159 | − | 3.24289i | 0.610205 | − | 0.150873i | ||||
\(463\) | 4.13136 | + | 28.7343i | 0.192001 | + | 1.33539i | 0.826703 | + | 0.562638i | \(0.190213\pi\) |
−0.634703 | + | 0.772756i | \(0.718877\pi\) | |||||||
\(464\) | −1.71981 | + | 2.41514i | −0.0798402 | + | 0.112120i | ||||
\(465\) | 0.659727 | − | 0.629048i | 0.0305941 | − | 0.0291714i | ||||
\(466\) | −2.33516 | − | 3.27928i | −0.108174 | − | 0.151910i | ||||
\(467\) | 39.8215 | + | 7.67496i | 1.84272 | + | 0.355155i | 0.986798 | − | 0.161953i | \(-0.0517793\pi\) |
0.855920 | + | 0.517108i | \(0.172991\pi\) | |||||||
\(468\) | 0.612074 | − | 4.25707i | 0.0282931 | − | 0.196783i | ||||
\(469\) | 0.871340 | − | 1.70853i | 0.0402347 | − | 0.0788928i | ||||
\(470\) | 0.646371 | + | 0.745952i | 0.0298149 | + | 0.0344082i | ||||
\(471\) | −17.8308 | − | 9.19241i | −0.821600 | − | 0.423564i | ||||
\(472\) | 0.00406188 | + | 0.0852694i | 0.000186963 | + | 0.00392484i | ||||
\(473\) | 2.80929 | − | 0.541446i | 0.129171 | − | 0.0248957i | ||||
\(474\) | −7.25919 | − | 6.92162i | −0.333426 | − | 0.317921i | ||||
\(475\) | 0.303574 | − | 2.11140i | 0.0139289 | − | 0.0968778i | ||||
\(476\) | −1.83267 | − | 0.827248i | −0.0840001 | − | 0.0379169i | ||||
\(477\) | −2.98767 | + | 6.54209i | −0.136796 | + | 0.299542i | ||||
\(478\) | −0.250641 | − | 1.03315i | −0.0114640 | − | 0.0472554i | ||||
\(479\) | 15.3657 | + | 1.46725i | 0.702079 | + | 0.0670404i | 0.439989 | − | 0.898003i | \(-0.354982\pi\) |
0.262090 | + | 0.965043i | \(0.415588\pi\) | |||||||
\(480\) | −0.661378 | − | 0.264776i | −0.0301877 | − | 0.0120853i | ||||
\(481\) | 2.30970 | − | 48.4866i | 0.105313 | − | 2.21080i | ||||
\(482\) | −14.1745 | −0.645629 | ||||||||
\(483\) | 6.64437 | − | 10.8098i | 0.302329 | − | 0.491864i | ||||
\(484\) | 15.0774 | 0.685338 | ||||||||
\(485\) | −0.386910 | + | 8.12223i | −0.0175687 | + | 0.368812i | ||||
\(486\) | 0.928368 | + | 0.371662i | 0.0421116 | + | 0.0168590i | ||||
\(487\) | 38.1169 | + | 3.63972i | 1.72724 | + | 0.164931i | 0.910897 | − | 0.412635i | \(-0.135391\pi\) |
0.816344 | + | 0.577566i | \(0.195997\pi\) | |||||||
\(488\) | 2.42353 | + | 9.98993i | 0.109708 | + | 0.452223i | ||||
\(489\) | −6.42415 | + | 14.0669i | −0.290510 | + | 0.636129i | ||||
\(490\) | −0.666349 | + | 4.94215i | −0.0301026 | + | 0.223264i | ||||
\(491\) | 5.71851 | − | 39.7731i | 0.258073 | − | 1.79493i | −0.288456 | − | 0.957493i | \(-0.593142\pi\) |
0.546528 | − | 0.837441i | \(-0.315949\pi\) | |||||||
\(492\) | −0.587777 | − | 0.560445i | −0.0264990 | − | 0.0252668i | ||||
\(493\) | −2.21255 | + | 0.426434i | −0.0996482 | + | 0.0192056i | ||||
\(494\) | −0.0971683 | − | 2.03981i | −0.00437181 | − | 0.0917756i | ||||
\(495\) | 3.23358 | + | 1.66703i | 0.145339 | + | 0.0749273i | ||||
\(496\) | 0.837923 | + | 0.967015i | 0.0376238 | + | 0.0434202i | ||||
\(497\) | 9.28633 | − | 0.483222i | 0.416549 | − | 0.0216755i | ||||
\(498\) | −2.34029 | + | 16.2771i | −0.104871 | + | 0.729393i | ||||
\(499\) | −28.1876 | − | 5.43271i | −1.26185 | − | 0.243201i | −0.485910 | − | 0.874009i | \(-0.661512\pi\) |
−0.775939 | + | 0.630808i | \(0.782724\pi\) | |||||||
\(500\) | 3.92265 | + | 5.50859i | 0.175426 | + | 0.246352i | ||||
\(501\) | 1.71966 | − | 1.63970i | 0.0768289 | − | 0.0732562i | ||||
\(502\) | 4.62892 | − | 6.50040i | 0.206599 | − | 0.290127i | ||||
\(503\) | −1.56699 | − | 10.8986i | −0.0698685 | − | 0.485946i | −0.994471 | − | 0.105013i | \(-0.966512\pi\) |
0.924602 | − | 0.380934i | \(-0.124397\pi\) | |||||||
\(504\) | −0.734245 | + | 2.54183i | −0.0327059 | + | 0.113222i | ||||
\(505\) | 0.541623 | 0.0241019 | ||||||||
\(506\) | 17.4574 | − | 17.1762i | 0.776075 | − | 0.763574i | ||||
\(507\) | −2.74864 | + | 4.76079i | −0.122072 | + | 0.211434i | ||||
\(508\) | −6.88777 | + | 3.55089i | −0.305595 | + | 0.157545i | ||||
\(509\) | −1.79929 | + | 1.41498i | −0.0797522 | + | 0.0627178i | −0.657239 | − | 0.753682i | \(-0.728276\pi\) |
0.577487 | + | 0.816400i | \(0.304033\pi\) | |||||||
\(510\) | −0.224913 | − | 0.492491i | −0.00995932 | − | 0.0218079i | ||||
\(511\) | −3.60959 | + | 2.10518i | −0.159679 | + | 0.0931276i | ||||
\(512\) | 0.415415 | − | 0.909632i | 0.0183589 | − | 0.0402004i | ||||
\(513\) | 0.466239 | + | 0.0898602i | 0.0205850 | + | 0.00396743i | ||||
\(514\) | 6.75161 | + | 5.30952i | 0.297801 | + | 0.234193i | ||||
\(515\) | 1.23266 | − | 5.08111i | 0.0543176 | − | 0.223900i | ||||
\(516\) | −0.183241 | + | 0.529440i | −0.00806673 | + | 0.0233073i | ||||
\(517\) | 5.95200 | − | 3.82512i | 0.261769 | − | 0.168228i | ||||
\(518\) | −5.52254 | + | 29.3462i | −0.242647 | + | 1.28940i | ||||
\(519\) | −7.18984 | − | 8.29752i | −0.315599 | − | 0.364221i | ||||
\(520\) | 2.21750 | + | 2.11438i | 0.0972436 | + | 0.0927216i | ||||
\(521\) | −24.4506 | − | 19.2282i | −1.07120 | − | 0.842402i | −0.0831519 | − | 0.996537i | \(-0.526499\pi\) |
−0.988050 | + | 0.154135i | \(0.950741\pi\) | |||||||
\(522\) | 0.969724 | + | 2.80183i | 0.0424437 | + | 0.122633i | ||||
\(523\) | 2.36673 | − | 0.225995i | 0.103490 | − | 0.00988207i | −0.0431827 | − | 0.999067i | \(-0.513750\pi\) |
0.146672 | + | 0.989185i | \(0.453144\pi\) | |||||||
\(524\) | 14.5884 | + | 4.28354i | 0.637296 | + | 0.187127i | ||||
\(525\) | 8.94856 | − | 7.82300i | 0.390547 | − | 0.341424i | ||||
\(526\) | 3.08345 | + | 21.4459i | 0.134445 | + | 0.935084i | ||||
\(527\) | −0.0462700 | + | 0.971328i | −0.00201555 | + | 0.0423117i | ||||
\(528\) | −2.55330 | + | 4.42245i | −0.111118 | + | 0.192463i | ||||
\(529\) | 0.373475 | − | 22.9970i | 0.0162381 | − | 0.999868i | ||||
\(530\) | −2.56183 | − | 4.43722i | −0.111279 | − | 0.192741i | ||||
\(531\) | 0.0718145 | + | 0.0461524i | 0.00311648 | + | 0.00200284i | ||||
\(532\) | −0.113925 | + | 1.25108i | −0.00493926 | + | 0.0542411i | ||||
\(533\) | 1.45101 | + | 3.17727i | 0.0628502 | + | 0.137623i | ||||
\(534\) | −1.63464 | − | 6.73807i | −0.0707377 | − | 0.291585i | ||||
\(535\) | 3.50367 | + | 4.92022i | 0.151477 | + | 0.212720i | ||||
\(536\) | 0.237090 | + | 0.685027i | 0.0102407 | + | 0.0295887i | ||||
\(537\) | −3.29070 | + | 1.31740i | −0.142004 | + | 0.0568500i | ||||
\(538\) | −29.2431 | + | 8.58654i | −1.26076 | + | 0.370192i | ||||
\(539\) | 34.3854 | + | 9.76943i | 1.48108 | + | 0.420799i | ||||
\(540\) | −0.599317 | + | 0.385158i | −0.0257905 | + | 0.0165746i | ||||
\(541\) | 14.8514 | + | 7.65642i | 0.638511 | + | 0.329175i | 0.746903 | − | 0.664933i | \(-0.231540\pi\) |
−0.108392 | + | 0.994108i | \(0.534570\pi\) | |||||||
\(542\) | 18.4545 | − | 3.55682i | 0.792690 | − | 0.152778i | ||||
\(543\) | 0.143205 | − | 0.590299i | 0.00614551 | − | 0.0253321i | ||||
\(544\) | 0.705542 | − | 0.282457i | 0.0302499 | − | 0.0121102i | ||||
\(545\) | 4.44919 | − | 5.13464i | 0.190582 | − | 0.219944i | ||||
\(546\) | 6.99469 | − | 8.97526i | 0.299345 | − | 0.384106i | ||||
\(547\) | −29.1294 | − | 8.55316i | −1.24548 | − | 0.365707i | −0.408410 | − | 0.912799i | \(-0.633917\pi\) |
−0.837073 | + | 0.547092i | \(0.815735\pi\) | |||||||
\(548\) | 5.30357 | − | 7.44782i | 0.226557 | − | 0.318155i | ||||
\(549\) | 9.54335 | + | 3.82058i | 0.407300 | + | 0.163058i | ||||
\(550\) | 20.3910 | − | 10.5123i | 0.869477 | − | 0.448246i | ||||
\(551\) | 0.703897 | + | 1.21918i | 0.0299870 | + | 0.0519390i | ||||
\(552\) | 1.20360 | + | 4.64234i | 0.0512286 | + | 0.197591i | ||||
\(553\) | −7.58813 | − | 25.4294i | −0.322680 | − | 1.08137i | ||||
\(554\) | 5.39828 | + | 3.46926i | 0.229351 | + | 0.147395i | ||||
\(555\) | −6.32036 | + | 4.97038i | −0.268284 | + | 0.210981i | ||||
\(556\) | 13.7271 | + | 1.31078i | 0.582159 | + | 0.0555894i | ||||
\(557\) | 14.8401 | − | 14.1500i | 0.628794 | − | 0.599553i | −0.307168 | − | 0.951655i | \(-0.599381\pi\) |
0.935962 | + | 0.352102i | \(0.114533\pi\) | |||||||
\(558\) | 1.27375 | − | 0.121628i | 0.0539221 | − | 0.00514894i | ||||
\(559\) | 1.57793 | − | 1.82103i | 0.0667393 | − | 0.0770212i | ||||
\(560\) | −1.17163 | − | 1.47647i | −0.0495106 | − | 0.0623923i | ||||
\(561\) | −3.72372 | + | 1.09338i | −0.157216 | + | 0.0461627i | ||||
\(562\) | −1.07793 | + | 3.11449i | −0.0454699 | + | 0.131377i | ||||
\(563\) | −1.12959 | − | 23.7129i | −0.0476064 | − | 0.999381i | −0.888699 | − | 0.458491i | \(-0.848390\pi\) |
0.841093 | − | 0.540891i | \(-0.181913\pi\) | |||||||
\(564\) | 0.0659243 | + | 1.38392i | 0.00277591 | + | 0.0582736i | ||||
\(565\) | 3.24052 | − | 9.36287i | 0.136330 | − | 0.393899i | ||||
\(566\) | 8.14799 | − | 2.39247i | 0.342486 | − | 0.100563i | ||||
\(567\) | 1.64461 | + | 2.07250i | 0.0690670 | + | 0.0870369i | ||||
\(568\) | −2.30161 | + | 2.65620i | −0.0965733 | + | 0.111452i | ||||
\(569\) | −4.65322 | + | 0.444329i | −0.195073 | + | 0.0186272i | −0.192135 | − | 0.981368i | \(-0.561541\pi\) |
−0.00293794 | + | 0.999996i | \(0.500935\pi\) | |||||||
\(570\) | −0.244815 | + | 0.233430i | −0.0102542 | + | 0.00977733i | ||||
\(571\) | 12.1530 | + | 1.16047i | 0.508585 | + | 0.0485640i | 0.346195 | − | 0.938163i | \(-0.387474\pi\) |
0.162390 | + | 0.986727i | \(0.448080\pi\) | |||||||
\(572\) | 17.2639 | − | 13.5765i | 0.721839 | − | 0.567661i | ||||
\(573\) | 3.88605 | + | 2.49741i | 0.162342 | + | 0.104331i | ||||
\(574\) | −0.614412 | − | 2.05902i | −0.0256450 | − | 0.0859418i | ||||
\(575\) | 6.72661 | − | 20.4682i | 0.280519 | − | 0.853581i | ||||
\(576\) | −0.500000 | − | 0.866025i | −0.0208333 | − | 0.0360844i | ||||
\(577\) | −8.65360 | + | 4.46124i | −0.360254 | + | 0.185724i | −0.628845 | − | 0.777530i | \(-0.716472\pi\) |
0.268591 | + | 0.963254i | \(0.413442\pi\) | |||||||
\(578\) | −15.2461 | − | 6.10360i | −0.634152 | − | 0.253876i | ||||
\(579\) | 4.15511 | − | 5.83504i | 0.172681 | − | 0.242496i | ||||
\(580\) | −2.02666 | − | 0.595082i | −0.0841526 | − | 0.0247094i | ||||
\(581\) | −26.7445 | + | 34.3173i | −1.10955 | + | 1.42372i | ||||
\(582\) | −7.47458 | + | 8.62612i | −0.309831 | + | 0.357564i | ||||
\(583\) | −34.0960 | + | 13.6500i | −1.41211 | + | 0.565324i | ||||
\(584\) | 0.372351 | − | 1.53485i | 0.0154080 | − | 0.0635127i | ||||
\(585\) | 3.00860 | − | 0.579859i | 0.124390 | − | 0.0239742i | ||||
\(586\) | 15.9754 | + | 8.23591i | 0.659939 | + | 0.340222i | ||||
\(587\) | −25.4982 | + | 16.3867i | −1.05242 | + | 0.676352i | −0.948029 | − | 0.318184i | \(-0.896927\pi\) |
−0.104396 | + | 0.994536i | \(0.533291\pi\) | |||||||
\(588\) | −5.02354 | + | 4.87484i | −0.207167 | + | 0.201035i | ||||
\(589\) | 0.582943 | − | 0.171167i | 0.0240197 | − | 0.00705283i | ||||
\(590\) | −0.0564593 | + | 0.0226029i | −0.00232439 | + | 0.000930546i | ||||
\(591\) | 0.347180 | + | 1.00311i | 0.0142811 | + | 0.0412625i | ||||
\(592\) | −6.54682 | − | 9.19372i | −0.269073 | − | 0.377860i | ||||
\(593\) | 8.29945 | + | 34.2108i | 0.340818 | + | 1.40487i | 0.841977 | + | 0.539514i | \(0.181392\pi\) |
−0.501159 | + | 0.865355i | \(0.667093\pi\) | |||||||
\(594\) | 2.12136 | + | 4.64513i | 0.0870405 | + | 0.190592i | ||||
\(595\) | 0.129904 | − | 1.42656i | 0.00532554 | − | 0.0584831i | ||||
\(596\) | 15.9005 | + | 10.2186i | 0.651309 | + | 0.418571i | ||||
\(597\) | 9.15002 | + | 15.8483i | 0.374485 | + | 0.648628i | ||||
\(598\) | 2.61492 | − | 20.4597i | 0.106932 | − | 0.836660i | ||||
\(599\) | −3.02160 | + | 5.23357i | −0.123459 | + | 0.213838i | −0.921130 | − | 0.389256i | \(-0.872732\pi\) |
0.797670 | + | 0.603094i | \(0.206066\pi\) | |||||||
\(600\) | −0.213760 | + | 4.48738i | −0.00872673 | + | 0.183197i | ||||
\(601\) | −4.67022 | − | 32.4821i | −0.190502 | − | 1.32497i | −0.830682 | − | 0.556747i | \(-0.812049\pi\) |
0.640180 | − | 0.768225i | \(-0.278860\pi\) | |||||||
\(602\) | −1.11597 | + | 0.975601i | −0.0454835 | + | 0.0397625i | ||||
\(603\) | 0.695533 | + | 0.204227i | 0.0283243 | + | 0.00831676i | ||||
\(604\) | −2.76872 | + | 0.264380i | −0.112657 | + | 0.0107575i | ||||
\(605\) | 3.51314 | + | 10.1506i | 0.142829 | + | 0.412679i | ||||
\(606\) | 0.597612 | + | 0.469967i | 0.0242763 | + | 0.0190911i | ||||
\(607\) | −10.8570 | − | 10.3521i | −0.440670 | − | 0.420178i | 0.436986 | − | 0.899468i | \(-0.356046\pi\) |
−0.877657 | + | 0.479290i | \(0.840894\pi\) | |||||||
\(608\) | −0.310941 | − | 0.358845i | −0.0126103 | − | 0.0145531i | ||||
\(609\) | −1.45074 | + | 7.70907i | −0.0587869 | + | 0.312387i | ||||
\(610\) | −6.16080 | + | 3.95931i | −0.249444 | + | 0.160308i | ||||
\(611\) | 1.94893 | − | 5.63105i | 0.0788451 | − | 0.227808i | ||||
\(612\) | 0.179172 | − | 0.738559i | 0.00724261 | − | 0.0298545i | ||||
\(613\) | −20.5051 | − | 16.1254i | −0.828193 | − | 0.651298i | 0.111330 | − | 0.993783i | \(-0.464489\pi\) |
−0.939523 | + | 0.342485i | \(0.888731\pi\) | |||||||
\(614\) | −29.0855 | − | 5.60577i | −1.17380 | − | 0.226231i | ||||
\(615\) | 0.240351 | − | 0.526295i | 0.00969189 | − | 0.0212223i | ||||
\(616\) | −11.6709 | + | 6.80670i | −0.470236 | + | 0.274250i | ||||
\(617\) | −6.63572 | − | 14.5302i | −0.267144 | − | 0.584964i | 0.727755 | − | 0.685837i | \(-0.240564\pi\) |
−0.994899 | + | 0.100873i | \(0.967836\pi\) | |||||||
\(618\) | 5.76897 | − | 4.53677i | 0.232062 | − | 0.182496i | ||||
\(619\) | 20.9446 | − | 10.7977i | 0.841835 | − | 0.433996i | 0.0173294 | − | 0.999850i | \(-0.494484\pi\) |
0.824506 | + | 0.565854i | \(0.191453\pi\) | |||||||
\(620\) | −0.455780 | + | 0.789434i | −0.0183046 | + | 0.0317044i | ||||
\(621\) | 4.47970 | + | 1.71240i | 0.179764 | + | 0.0687162i | ||||
\(622\) | 30.2326 | 1.21222 | ||||||||
\(623\) | 5.09090 | − | 17.6238i | 0.203962 | − | 0.706082i | ||||
\(624\) | 0.612074 | + | 4.25707i | 0.0245026 | + | 0.170419i | ||||
\(625\) | 10.2349 | − | 14.3729i | 0.409396 | − | 0.574917i | ||||
\(626\) | −23.9976 | + | 22.8817i | −0.959139 | + | 0.914537i | ||||
\(627\) | 1.40647 | + | 1.97512i | 0.0561692 | + | 0.0788786i | ||||
\(628\) | 19.6983 | + | 3.79654i | 0.786049 | + | 0.151498i | ||||
\(629\) | 1.22071 | − | 8.49023i | 0.0486729 | − | 0.338528i | ||||
\(630\) | −1.88231 | + | 0.0979477i | −0.0749931 | + | 0.00390233i | ||||
\(631\) | 6.25016 | + | 7.21307i | 0.248815 | + | 0.287148i | 0.866394 | − | 0.499361i | \(-0.166432\pi\) |
−0.617579 | + | 0.786509i | \(0.711886\pi\) | |||||||
\(632\) | 8.91519 | + | 4.59610i | 0.354627 | + | 0.182823i | ||||
\(633\) | 1.35192 | + | 28.3804i | 0.0537341 | + | 1.12802i | ||||
\(634\) | 11.2950 | − | 2.17693i | 0.448582 | − | 0.0864571i | ||||
\(635\) | −3.99546 | − | 3.80966i | −0.158555 | − | 0.151182i | ||||
\(636\) | 1.02353 | − | 7.11882i | 0.0405856 | − | 0.282279i | ||||
\(637\) | 27.8501 | − | 11.4342i | 1.10346 | − | 0.453038i | ||||
\(638\) | −6.28962 | + | 13.7724i | −0.249009 | + | 0.545253i | ||||
\(639\) | 0.828611 | + | 3.41558i | 0.0327793 | + | 0.135118i | ||||
\(640\) | 0.709184 | + | 0.0677189i | 0.0280330 | + | 0.00267682i | ||||
\(641\) | −3.45852 | − | 1.38458i | −0.136603 | − | 0.0546877i | 0.302354 | − | 0.953196i | \(-0.402228\pi\) |
−0.438957 | + | 0.898508i | \(0.644652\pi\) | |||||||
\(642\) | −0.403427 | + | 8.46898i | −0.0159220 | + | 0.334244i | ||||
\(643\) | −8.36510 | −0.329887 | −0.164944 | − | 0.986303i | \(-0.552744\pi\) | ||||
−0.164944 | + | 0.986303i | \(0.552744\pi\) | |||||||
\(644\) | −3.32974 | + | 12.2439i | −0.131210 | + | 0.482477i | ||||
\(645\) | −0.399130 | −0.0157157 | ||||||||
\(646\) | 0.0171701 | − | 0.360445i | 0.000675550 | − | 0.0141815i | ||||
\(647\) | −23.9299 | − | 9.58007i | −0.940780 | − | 0.376632i | −0.149968 | − | 0.988691i | \(-0.547917\pi\) |
−0.790812 | + | 0.612059i | \(0.790341\pi\) | |||||||
\(648\) | −0.995472 | − | 0.0950560i | −0.0391058 | − | 0.00373415i | ||||
\(649\) | 0.102775 | + | 0.423643i | 0.00403426 | + | 0.0166294i | ||||
\(650\) | 8.02642 | − | 17.5754i | 0.314822 | − | 0.689364i | ||||
\(651\) | 3.08557 | + | 1.39280i | 0.120933 | + | 0.0545880i | ||||
\(652\) | 2.20082 | − | 15.3070i | 0.0861907 | − | 0.599469i | ||||
\(653\) | 25.7427 | + | 24.5456i | 1.00739 | + | 0.960543i | 0.999223 | − | 0.0394236i | \(-0.0125522\pi\) |
0.00816599 | + | 0.999967i | \(0.497401\pi\) | |||||||
\(654\) | 9.36444 | − | 1.80485i | 0.366179 | − | 0.0705752i | ||||
\(655\) | 0.515391 | + | 10.8194i | 0.0201380 | + | 0.422749i | ||||
\(656\) | 0.721864 | + | 0.372147i | 0.0281840 | + | 0.0145299i | ||||
\(657\) | −1.03427 | − | 1.19361i | −0.0403507 | − | 0.0465672i | ||||
\(658\) | −1.66539 | + | 3.26551i | −0.0649235 | + | 0.127303i | ||||
\(659\) | 5.21449 | − | 36.2676i | 0.203128 | − | 1.41278i | −0.591802 | − | 0.806083i | \(-0.701583\pi\) |
0.794930 | − | 0.606701i | \(-0.207508\pi\) | |||||||
\(660\) | −3.57225 | − | 0.688495i | −0.139050 | − | 0.0267997i | ||||
\(661\) | −23.7701 | − | 33.3805i | −0.924552 | − | 1.29835i | −0.954318 | − | 0.298794i | \(-0.903416\pi\) |
0.0297659 | − | 0.999557i | \(-0.490524\pi\) | |||||||
\(662\) | 0.251225 | − | 0.239542i | 0.00976413 | − | 0.00931008i | ||||
\(663\) | −1.89595 | + | 2.66249i | −0.0736327 | + | 0.103403i | ||||
\(664\) | −2.34029 | − | 16.2771i | −0.0908209 | − | 0.631673i | ||||
\(665\) | −0.868806 | + | 0.214812i | −0.0336909 | + | 0.00833006i | ||||
\(666\) | −11.2865 | −0.437344 | ||||||||
\(667\) | 4.86075 | + | 13.3625i | 0.188209 | + | 0.517400i | ||||
\(668\) | −1.18805 | + | 2.05776i | −0.0459670 | + | 0.0796172i | ||||
\(669\) | 6.41598 | − | 3.30767i | 0.248056 | − | 0.127882i | ||||
\(670\) | −0.405936 | + | 0.319232i | −0.0156827 | + | 0.0123330i | ||||
\(671\) | 21.8070 | + | 47.7506i | 0.841848 | + | 1.84339i | ||||
\(672\) | −0.0116123 | − | 2.64573i | −0.000447953 | − | 0.102061i | ||||
\(673\) | −16.7120 | + | 36.5941i | −0.644199 | + | 1.41060i | 0.252343 | + | 0.967638i | \(0.418799\pi\) |
−0.896541 | + | 0.442960i | \(0.853928\pi\) | |||||||
\(674\) | −11.9798 | − | 2.30892i | −0.461446 | − | 0.0889365i | ||||
\(675\) | 3.53132 | + | 2.77706i | 0.135921 | + | 0.106889i | ||||
\(676\) | 1.29603 | − | 5.34233i | 0.0498475 | − | 0.205474i | ||||
\(677\) | −3.91147 | + | 11.3015i | −0.150330 | + | 0.434350i | −0.994872 | − | 0.101139i | \(-0.967751\pi\) |
0.844542 | + | 0.535489i | \(0.179873\pi\) | |||||||
\(678\) | 11.6997 | − | 7.51892i | 0.449323 | − | 0.288762i | ||||
\(679\) | −28.4941 | + | 10.0022i | −1.09350 | + | 0.383847i | ||||
\(680\) | 0.354553 | + | 0.409177i | 0.0135965 | + | 0.0156912i | ||||
\(681\) | −14.3195 | − | 13.6536i | −0.548723 | − | 0.523206i | ||||
\(682\) | 5.13617 | + | 4.03913i | 0.196674 | + | 0.154666i | ||||
\(683\) | 3.88537 | + | 11.2260i | 0.148669 | + | 0.429552i | 0.994605 | − | 0.103733i | \(-0.0330787\pi\) |
−0.845936 | + | 0.533285i | \(0.820957\pi\) | |||||||
\(684\) | −0.472670 | + | 0.0451345i | −0.0180730 | + | 0.00172576i | ||||
\(685\) | 6.24984 | + | 1.83512i | 0.238794 | + | 0.0701163i | ||||
\(686\) | −17.9392 | + | 4.60292i | −0.684920 | + | 0.175740i | ||||
\(687\) | −2.96588 | − | 20.6282i | −0.113155 | − | 0.787014i | ||||
\(688\) | 0.0266579 | − | 0.559619i | 0.00101632 | − | 0.0213353i | ||||
\(689\) | −15.4659 | + | 26.7877i | −0.589203 | + | 1.02053i | ||||
\(690\) | −2.84491 | + | 1.89199i | −0.108304 | + | 0.0720269i | ||||
\(691\) | 9.96456 | + | 17.2591i | 0.379070 | + | 0.656568i | 0.990927 | − | 0.134400i | \(-0.0429108\pi\) |
−0.611858 | + | 0.790968i | \(0.709577\pi\) | |||||||
\(692\) | 9.23629 | + | 5.93580i | 0.351111 | + | 0.225645i | ||||
\(693\) | −1.22524 | + | 13.4551i | −0.0465431 | + | 0.511119i | ||||
\(694\) | −7.71442 | − | 16.8922i | −0.292835 | − | 0.641220i | ||||
\(695\) | 2.31605 | + | 9.54689i | 0.0878528 | + | 0.362134i | ||||
\(696\) | −1.71981 | − | 2.41514i | −0.0651892 | − | 0.0915455i | ||||
\(697\) | 0.201871 | + | 0.583269i | 0.00764642 | + | 0.0220929i | ||||
\(698\) | 7.80887 | − | 3.12620i | 0.295570 | − | 0.118328i | ||||
\(699\) | 3.86268 | − | 1.13418i | 0.146100 | − | 0.0428988i | ||||
\(700\) | −6.38209 | + | 10.0272i | −0.241220 | + | 0.378993i | ||||
\(701\) | −37.8439 | + | 24.3208i | −1.42935 | + | 0.918585i | −0.429466 | + | 0.903083i | \(0.641298\pi\) |
−0.999880 | + | 0.0155017i | \(0.995065\pi\) | |||||||
\(702\) | 3.82275 | + | 1.97076i | 0.144280 | + | 0.0743816i | ||||
\(703\) | −5.26222 | + | 1.01421i | −0.198468 | + | 0.0382516i | ||||
\(704\) | 1.20393 | − | 4.96266i | 0.0453748 | − | 0.187037i | ||||
\(705\) | −0.916333 | + | 0.366844i | −0.0345111 | + | 0.0138162i | ||||
\(706\) | −15.8730 | + | 18.3184i | −0.597387 | + | 0.689422i | ||||
\(707\) | 0.755782 | + | 1.86410i | 0.0284241 | + | 0.0701066i | ||||
\(708\) | −0.0819081 | − | 0.0240504i | −0.00307830 | − | 0.000903869i | ||||
\(709\) | −26.1122 | + | 36.6694i | −0.980663 | + | 1.37715i | −0.0551311 | + | 0.998479i | \(0.517558\pi\) |
−0.925532 | + | 0.378670i | \(0.876382\pi\) | |||||||
\(710\) | −2.32451 | − | 0.930595i | −0.0872375 | − | 0.0349246i | ||||
\(711\) | 8.91519 | − | 4.59610i | 0.334346 | − | 0.172367i | ||||
\(712\) | 3.46676 | + | 6.00460i | 0.129922 | + | 0.225032i | ||||
\(713\) | 6.09879 | − | 0.679021i | 0.228402 | − | 0.0254295i | ||||
\(714\) | 1.38116 | − | 1.46130i | 0.0516885 | − | 0.0546879i | ||||
\(715\) | 13.1626 | + | 8.45912i | 0.492255 | + | 0.316353i | ||||
\(716\) | 2.78625 | − | 2.19113i | 0.104127 | − | 0.0818865i | ||||
\(717\) | 1.05831 | + | 0.101056i | 0.0395232 | + | 0.00377401i | ||||
\(718\) | −2.84742 | + | 2.71501i | −0.106265 | + | 0.101323i | ||||
\(719\) | 42.1560 | − | 4.02541i | 1.57215 | − | 0.150122i | 0.727755 | − | 0.685838i | \(-0.240564\pi\) |
0.844399 | + | 0.535715i | \(0.179958\pi\) | |||||||
\(720\) | 0.466529 | − | 0.538403i | 0.0173865 | − | 0.0200651i | ||||
\(721\) | 19.2076 | − | 2.84774i | 0.715330 | − | 0.106055i | ||||
\(722\) | 18.0140 | − | 5.28940i | 0.670413 | − | 0.196851i | ||||
\(723\) | 4.63601 | − | 13.3949i | 0.172415 | − | 0.498161i | ||||
\(724\) | 0.0289022 | + | 0.606733i | 0.00107414 | + | 0.0225490i | ||||
\(725\) | 0.633778 | + | 13.3046i | 0.0235379 | + | 0.494122i | ||||
\(726\) | −4.93135 | + | 14.2482i | −0.183019 | + | 0.528800i | ||||
\(727\) | 30.8244 | − | 9.05087i | 1.14322 | − | 0.335678i | 0.345326 | − | 0.938483i | \(-0.387768\pi\) |
0.797889 | + | 0.602804i | \(0.205950\pi\) | |||||||
\(728\) | −4.18273 | + | 10.5823i | −0.155022 | + | 0.392207i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 1.12007 | − | 0.106953i | 0.0414555 | − | 0.00395852i | ||||
\(731\) | 0.308153 | − | 0.293823i | 0.0113974 | − | 0.0108674i | ||||
\(732\) | −10.2332 | − | 0.977148i | −0.378228 | − | 0.0361164i | ||||
\(733\) | −19.3165 | + | 15.1907i | −0.713472 | + | 0.561081i | −0.907570 | − | 0.419901i | \(-0.862065\pi\) |
0.194097 | + | 0.980982i | \(0.437822\pi\) | |||||||
\(734\) | 21.7336 | + | 13.9674i | 0.802203 | + | 0.515544i | ||||
\(735\) | −4.45239 | − | 2.24612i | −0.164229 | − | 0.0828493i | ||||
\(736\) | −2.46274 | − | 4.11520i | −0.0907780 | − | 0.151688i | ||||
\(737\) | 1.85088 | + | 3.20582i | 0.0681780 | + | 0.118088i | ||||
\(738\) | 0.721864 | − | 0.372147i | 0.0265722 | − | 0.0136989i | ||||
\(739\) | 27.8899 | + | 11.1654i | 1.02595 | + | 0.410727i | 0.822746 | − | 0.568410i | \(-0.192441\pi\) |
0.203201 | + | 0.979137i | \(0.434865\pi\) | |||||||
\(740\) | 4.66402 | − | 6.54970i | 0.171453 | − | 0.240772i | ||||
\(741\) | 1.95941 | + | 0.575334i | 0.0719806 | + | 0.0211354i | ||||
\(742\) | 11.6968 | − | 15.0087i | 0.429401 | − | 0.550988i | ||||
\(743\) | −30.7857 | + | 35.5285i | −1.12942 | + | 1.30342i | −0.182041 | + | 0.983291i | \(0.558270\pi\) |
−0.947375 | + | 0.320125i | \(0.896275\pi\) | |||||||
\(744\) | −1.18789 | + | 0.475558i | −0.0435501 | + | 0.0174348i | ||||
\(745\) | −3.17454 | + | 13.0856i | −0.116306 | + | 0.479421i | ||||
\(746\) | −11.4169 | + | 2.20043i | −0.418003 | + | 0.0805635i | ||||
\(747\) | −14.6164 | − | 7.53529i | −0.534787 | − | 0.275702i | ||||
\(748\) | 3.26484 | − | 2.09819i | 0.119374 | − | 0.0767173i | ||||
\(749\) | −12.0448 | + | 18.9242i | −0.440108 | + | 0.691476i | ||||
\(750\) | −6.48860 | + | 1.90522i | −0.236930 | + | 0.0695690i | ||||
\(751\) | −33.0300 | + | 13.2232i | −1.20528 | + | 0.482522i | −0.885353 | − | 0.464920i | \(-0.846083\pi\) |
−0.319929 | + | 0.947442i | \(0.603659\pi\) | |||||||
\(752\) | −0.453149 | − | 1.30929i | −0.0165247 | − | 0.0477449i | ||||
\(753\) | 4.62892 | + | 6.50040i | 0.168687 | + | 0.236888i | ||||
\(754\) | 3.00630 | + | 12.3921i | 0.109483 | + | 0.451295i | ||||
\(755\) | −0.823117 | − | 1.80237i | −0.0299563 | − | 0.0655951i | ||||
\(756\) | −2.16188 | − | 1.52521i | −0.0786268 | − | 0.0554714i | ||||
\(757\) | −21.7237 | − | 13.9610i | −0.789560 | − | 0.507419i | 0.0826336 | − | 0.996580i | \(-0.473667\pi\) |
−0.872194 | + | 0.489160i | \(0.837303\pi\) | |||||||
\(758\) | 10.6575 | + | 18.4594i | 0.387099 | + | 0.670475i | ||||
\(759\) | 10.5217 | + | 22.1150i | 0.381915 | + | 0.802724i | ||||
\(760\) | 0.169133 | − | 0.292947i | 0.00613510 | − | 0.0106263i | ||||
\(761\) | 0.796500 | − | 16.7206i | 0.0288731 | − | 0.606121i | −0.937346 | − | 0.348399i | \(-0.886725\pi\) |
0.966219 | − | 0.257721i | \(-0.0829717\pi\) | |||||||
\(762\) | −1.10283 | − | 7.67033i | −0.0399512 | − | 0.277867i | ||||
\(763\) | 23.8802 | + | 8.14783i | 0.864522 | + | 0.294971i | ||||
\(764\) | −4.43224 | − | 1.30142i | −0.160353 | − | 0.0470838i | ||||
\(765\) | 0.538967 | − | 0.0514651i | 0.0194864 | − | 0.00186072i | ||||
\(766\) | 5.93374 | + | 17.1444i | 0.214395 | + | 0.619453i | ||||
\(767\) | 0.288597 | + | 0.226955i | 0.0104206 | + | 0.00819486i | ||||
\(768\) | 0.723734 | + | 0.690079i | 0.0261155 | + | 0.0249011i | ||||
\(769\) | −10.1157 | − | 11.6741i | −0.364780 | − | 0.420978i | 0.543456 | − | 0.839438i | \(-0.317116\pi\) |
−0.908235 | + | 0.418459i | \(0.862570\pi\) | |||||||
\(770\) | −7.30186 | − | 6.27120i | −0.263141 | − | 0.225998i | ||||
\(771\) | −7.22574 | + | 4.64370i | −0.260229 | + | 0.167239i | ||||
\(772\) | −2.34288 | + | 6.76931i | −0.0843222 | + | 0.243633i | ||||
\(773\) | 11.1019 | − | 45.7628i | 0.399309 | − | 1.64597i | −0.317172 | − | 0.948368i | \(-0.602733\pi\) |
0.716481 | − | 0.697606i | \(-0.245751\pi\) | |||||||
\(774\) | −0.440389 | − | 0.346326i | −0.0158294 | − | 0.0124484i | ||||
\(775\) | 5.64443 | + | 1.08788i | 0.202754 | + | 0.0390776i | ||||
\(776\) | 4.74155 | − | 10.3825i | 0.170212 | − | 0.372711i | ||||
\(777\) | −25.9259 | − | 14.8170i | −0.930088 | − | 0.531557i | ||||
\(778\) | −13.5570 | − | 29.6858i | −0.486043 | − | 1.06429i | ||||
\(779\) | 0.303120 | − | 0.238376i | 0.0108604 | − | 0.00854071i | ||||
\(780\) | −2.72336 | + | 1.40399i | −0.0975120 | + | 0.0502709i | ||||
\(781\) | −8.97397 | + | 15.5434i | −0.321114 | + | 0.556186i | ||||
\(782\) | 0.803637 | − | 3.55504i | 0.0287380 | − | 0.127128i | ||||
\(783\) | −2.96490 | −0.105957 | ||||||||
\(784\) | 3.44665 | − | 6.09267i | 0.123095 | − | 0.217595i | ||||
\(785\) | 2.03390 | + | 14.1461i | 0.0725930 | + | 0.504895i | ||||
\(786\) | −8.81934 | + | 12.3850i | −0.314575 | + | 0.441759i | ||||
\(787\) | −21.7425 | + | 20.7314i | −0.775036 | + | 0.738996i | −0.970339 | − | 0.241747i | \(-0.922279\pi\) |
0.195303 | + | 0.980743i | \(0.437431\pi\) | |||||||
\(788\) | −0.615726 | − | 0.864666i | −0.0219343 | − | 0.0308025i | ||||
\(789\) | −21.2749 | − | 4.10039i | −0.757405 | − | 0.145978i | ||||
\(790\) | −1.01693 | + | 7.07287i | −0.0361806 | + | 0.251642i | ||||
\(791\) | 36.7459 | − | 1.91210i | 1.30653 | − | 0.0679865i | ||||
\(792\) | −3.34412 | − | 3.85932i | −0.118828 | − | 0.137135i | ||||
\(793\) | 39.2967 | + | 20.2588i | 1.39547 | + | 0.719413i | ||||
\(794\) | −0.350003 | − | 7.34747i | −0.0124212 | − | 0.260752i | ||||
\(795\) | 5.03107 | − | 0.969660i | 0.178434 | − | 0.0343903i | ||||
\(796\) | −13.2444 | − | 12.6285i | −0.469434 | − | 0.447604i | ||||
\(797\) | 7.30072 | − | 50.7777i | 0.258605 | − | 1.79864i | −0.284186 | − | 0.958769i | \(-0.591723\pi\) |
0.542791 | − | 0.839868i | \(-0.317368\pi\) | |||||||
\(798\) | −1.14501 | − | 0.516847i | −0.0405329 | − | 0.0182962i | ||||
\(799\) | 0.437410 | − | 0.957794i | 0.0154744 | − | 0.0338843i | ||||
\(800\) | −1.05914 | − | 4.36584i | −0.0374463 | − | 0.154356i | ||||
\(801\) | 6.90212 | + | 0.659072i | 0.243874 | + | 0.0232872i | ||||
\(802\) | −32.3481 | − | 12.9502i | −1.14225 | − | 0.457289i | ||||
\(803\) | 0.383760 | − | 8.05610i | 0.0135426 | − | 0.284294i | ||||
\(804\) | −0.724896 | −0.0255651 | ||||||||
\(805\) | −9.01878 | + | 0.611229i | −0.317870 | + | 0.0215430i | ||||
\(806\) | 5.50312 | 0.193839 | ||||||||
\(807\) | 1.45018 | − | 30.4431i | 0.0510489 | − | 1.07165i | ||||
\(808\) | −0.705810 | − | 0.282564i | −0.0248303 | − | 0.00994055i | ||||
\(809\) | 25.9080 | + | 2.47391i | 0.910876 | + | 0.0869781i | 0.539962 | − | 0.841689i | \(-0.318439\pi\) |
0.370914 | + | 0.928667i | \(0.379045\pi\) | |||||||
\(810\) | −0.167957 | − | 0.692328i | −0.00590141 | − | 0.0243259i | ||||
\(811\) | −9.35457 | + | 20.4837i | −0.328483 | + | 0.719278i | −0.999760 | − | 0.0219290i | \(-0.993019\pi\) |
0.671276 | + | 0.741207i | \(0.265746\pi\) | |||||||
\(812\) | −0.779923 | − | 7.80552i | −0.0273699 | − | 0.273920i | ||||
\(813\) | −2.67469 | + | 18.6029i | −0.0938054 | + | 0.652431i | ||||
\(814\) | −41.7130 | − | 39.7733i | −1.46204 | − | 1.39405i | ||||
\(815\) | 10.8179 | − | 2.08498i | 0.378935 | − | 0.0730338i | ||||
\(816\) | 0.0361614 | + | 0.759121i | 0.00126590 | + | 0.0265745i | ||||
\(817\) | −0.236447 | − | 0.121897i | −0.00827225 | − | 0.00426464i | ||||
\(818\) | 17.0926 | + | 19.7259i | 0.597628 | + | 0.689700i | ||||
\(819\) | 6.19389 | + | 9.54551i | 0.216432 | + | 0.333547i | ||||
\(820\) | −0.0823406 | + | 0.572691i | −0.00287546 | + | 0.0199992i | ||||
\(821\) | 18.1755 | + | 3.50304i | 0.634329 | + | 0.122257i | 0.496272 | − | 0.868167i | \(-0.334702\pi\) |
0.138057 | + | 0.990424i | \(0.455914\pi\) | |||||||
\(822\) | 5.30357 | + | 7.44782i | 0.184983 | + | 0.259773i | ||||
\(823\) | 16.9123 | − | 16.1258i | 0.589526 | − | 0.562111i | −0.335489 | − | 0.942044i | \(-0.608901\pi\) |
0.925014 | + | 0.379933i | \(0.124053\pi\) | |||||||
\(824\) | −4.25713 | + | 5.97831i | −0.148304 | + | 0.208264i | ||||
\(825\) | 3.26489 | + | 22.7078i | 0.113669 | + | 0.790584i | ||||
\(826\) | −0.156575 | − | 0.162775i | −0.00544795 | − | 0.00566367i | ||||
\(827\) | 28.6345 | 0.995719 | 0.497859 | − | 0.867258i | \(-0.334120\pi\) | ||||
0.497859 | + | 0.867258i | \(0.334120\pi\) | |||||||
\(828\) | −4.78068 | − | 0.380959i | −0.166140 | − | 0.0132392i | ||||
\(829\) | −18.9919 | + | 32.8950i | −0.659616 | + | 1.14249i | 0.321099 | + | 0.947046i | \(0.395948\pi\) |
−0.980715 | + | 0.195443i | \(0.937385\pi\) | |||||||
\(830\) | 10.4129 | − | 5.36821i | 0.361436 | − | 0.186333i | ||||
\(831\) | −5.04406 | + | 3.96669i | −0.174976 | + | 0.137603i | ||||
\(832\) | −1.78664 | − | 3.91219i | −0.0619405 | − | 0.135631i | ||||
\(833\) | 5.09102 | − | 1.54353i | 0.176394 | − | 0.0534801i | ||||
\(834\) | −5.72838 | + | 12.5434i | −0.198358 | + | 0.434343i | ||||
\(835\) | −1.66217 | − | 0.320356i | −0.0575216 | − | 0.0110864i | ||||
\(836\) | −1.90596 | − | 1.49886i | −0.0659189 | − | 0.0518392i | ||||
\(837\) | −0.301664 | + | 1.24348i | −0.0104270 | + | 0.0429808i | ||||
\(838\) | −1.21507 | + | 3.51072i | −0.0419739 | + | 0.121276i | ||||
\(839\) | 5.52731 | − | 3.55219i | 0.190824 | − | 0.122635i | −0.441740 | − | 0.897143i | \(-0.645639\pi\) |
0.632564 | + | 0.774508i | \(0.282002\pi\) | |||||||
\(840\) | 1.77847 | − | 0.624289i | 0.0613631 | − | 0.0215400i | ||||
\(841\) | 13.2343 | + | 15.2732i | 0.456356 | + | 0.526663i | ||||
\(842\) | −11.6493 | − | 11.1075i | −0.401460 | − | 0.382791i | ||||
\(843\) | −2.59064 | − | 2.03730i | −0.0892262 | − | 0.0701683i | ||||
\(844\) | −9.29283 | − | 26.8499i | −0.319872 | − | 0.924211i | ||||
\(845\) | 3.89859 | − | 0.372270i | 0.134116 | − | 0.0128065i | ||||
\(846\) | −1.32937 | − | 0.390338i | −0.0457046 | − | 0.0134201i | ||||
\(847\) | −30.0328 | + | 26.2552i | −1.03194 | + | 0.902140i | ||||
\(848\) | 1.02353 | + | 7.11882i | 0.0351482 | + | 0.244461i | ||||
\(849\) | −0.404064 | + | 8.48236i | −0.0138675 | + | 0.291114i | ||||
\(850\) | 1.70710 | − | 2.95678i | 0.0585530 | − | 0.101417i | ||||
\(851\) | −54.1216 | + | 0.848726i | −1.85526 | + | 0.0290939i | ||||
\(852\) | −1.75733 | − | 3.04378i | −0.0602050 | − | 0.104278i | ||||
\(853\) | 26.1037 | + | 16.7758i | 0.893774 | + | 0.574394i | 0.904938 | − | 0.425544i | \(-0.139917\pi\) |
−0.0111639 | + | 0.999938i | \(0.503554\pi\) | |||||||
\(854\) | −22.2235 | − | 15.6787i | −0.760472 | − | 0.536515i | ||||
\(855\) | −0.140521 | − | 0.307698i | −0.00480571 | − | 0.0105230i | ||||
\(856\) | −1.99890 | − | 8.23958i | −0.0683210 | − | 0.281623i | ||||
\(857\) | −11.7431 | − | 16.4908i | −0.401136 | − | 0.563316i | 0.563764 | − | 0.825936i | \(-0.309353\pi\) |
−0.964899 | + | 0.262620i | \(0.915414\pi\) | |||||||
\(858\) | 7.18331 | + | 20.7548i | 0.245234 | + | 0.708557i | ||||
\(859\) | −37.4034 | + | 14.9741i | −1.27619 | + | 0.510908i | −0.908050 | − | 0.418863i | \(-0.862429\pi\) |
−0.368138 | + | 0.929771i | \(0.620005\pi\) | |||||||
\(860\) | 0.382962 | − | 0.112448i | 0.0130589 | − | 0.00383444i | ||||
\(861\) | 2.14673 | + | 0.0928198i | 0.0731603 | + | 0.00316329i | ||||
\(862\) | 0.804186 | − | 0.516819i | 0.0273907 | − | 0.0176029i | ||||
\(863\) | −18.4122 | − | 9.49215i | −0.626759 | − | 0.323117i | 0.115422 | − | 0.993317i | \(-0.463178\pi\) |
−0.742181 | + | 0.670200i | \(0.766208\pi\) | |||||||
\(864\) | 0.981929 | − | 0.189251i | 0.0334059 | − | 0.00643846i | ||||
\(865\) | −1.84403 | + | 7.60120i | −0.0626990 | + | 0.258449i | ||||
\(866\) | −31.0937 | + | 12.4480i | −1.05661 | + | 0.423001i | ||||
\(867\) | 10.7544 | − | 12.4112i | 0.365239 | − | 0.421508i | ||||
\(868\) | −3.35298 | − | 0.467074i | −0.113808 | − | 0.0158535i | ||||
\(869\) | 49.1455 | + | 14.4304i | 1.66715 | + | 0.489518i | ||||
\(870\) | 1.22521 | − | 1.72057i | 0.0415385 | − | 0.0583327i | ||||
\(871\) | 2.89434 | + | 1.15872i | 0.0980711 | + | 0.0392617i | ||||
\(872\) | −8.47663 | + | 4.37001i | −0.287055 | + | 0.147987i | ||||
\(873\) | −5.70700 | − | 9.88481i | −0.193153 | − | 0.334550i | ||||
\(874\) | −2.26317 | + | 0.251975i | −0.0765529 | + | 0.00852317i | ||||
\(875\) | −17.4060 | − | 4.14184i | −0.588429 | − | 0.140020i | ||||
\(876\) | 1.32865 | + | 0.853874i | 0.0448910 | + | 0.0288497i | ||||
\(877\) | 3.61605 | − | 2.84369i | 0.122105 | − | 0.0960247i | −0.555239 | − | 0.831691i | \(-0.687373\pi\) |
0.677344 | + | 0.735666i | \(0.263131\pi\) | |||||||
\(878\) | 15.9393 | + | 1.52202i | 0.537925 | + | 0.0513656i | ||||
\(879\) | −13.0080 | + | 12.4031i | −0.438749 | + | 0.418346i | ||||
\(880\) | 3.62152 | − | 0.345814i | 0.122082 | − | 0.0116574i | ||||
\(881\) | −16.5835 | + | 19.1384i | −0.558713 | + | 0.644789i | −0.962891 | − | 0.269891i | \(-0.913012\pi\) |
0.404178 | + | 0.914681i | \(0.367558\pi\) | |||||||
\(882\) | −2.96369 | − | 6.34165i | −0.0997925 | − | 0.213535i | ||||
\(883\) | 19.5502 | − | 5.74044i | 0.657915 | − | 0.193181i | 0.0643003 | − | 0.997931i | \(-0.479518\pi\) |
0.593615 | + | 0.804749i | \(0.297700\pi\) | |||||||
\(884\) | 1.06904 | − | 3.08880i | 0.0359558 | − | 0.103887i | ||||
\(885\) | −0.00289372 | − | 0.0607467i | −9.72715e−5 | − | 0.00204198i | ||||
\(886\) | −1.24518 | − | 26.1395i | −0.0418325 | − | 0.878173i | ||||
\(887\) | −11.1262 | + | 32.1471i | −0.373582 | + | 1.07939i | 0.588937 | + | 0.808179i | \(0.299547\pi\) |
−0.962519 | + | 0.271215i | \(0.912575\pi\) | |||||||
\(888\) | 10.8293 | − | 3.17978i | 0.363409 | − | 0.106706i | ||||
\(889\) | 7.53639 | − | 19.0671i | 0.252762 | − | 0.639490i | ||||
\(890\) | −3.23469 | + | 3.73303i | −0.108427 | + | 0.125131i | ||||
\(891\) | −5.08348 | + | 0.485414i | −0.170303 | + | 0.0162620i | ||||
\(892\) | −5.22421 | + | 4.98128i | −0.174920 | + | 0.166785i | ||||
\(893\) | −0.654879 | − | 0.0625334i | −0.0219147 | − | 0.00209260i | ||||
\(894\) | −14.8571 | + | 11.6838i | −0.496897 | + | 0.390764i | ||||
\(895\) | 2.12435 | + | 1.36523i | 0.0710091 | + | 0.0456348i | ||||
\(896\) | 0.756529 | + | 2.53528i | 0.0252739 | + | 0.0846979i | ||||
\(897\) | 18.4792 | + | 9.16282i | 0.617002 | + | 0.305938i | ||||
\(898\) | −7.76351 | − | 13.4468i | −0.259072 | − | 0.448725i | ||||
\(899\) | −3.37199 | + | 1.73838i | −0.112462 | + | 0.0579783i | ||||
\(900\) | −4.17067 | − | 1.66968i | −0.139022 | − | 0.0556561i | ||||
\(901\) | −3.17048 | + | 4.45231i | −0.105624 | + | 0.148328i | ||||
\(902\) | 3.97931 | + | 1.16843i | 0.132497 | + | 0.0389045i | ||||
\(903\) | −0.556946 | − | 1.37368i | −0.0185340 | − | 0.0457132i | ||||
\(904\) | −9.10743 | + | 10.5105i | −0.302909 | + | 0.349575i | ||||
\(905\) | −0.401735 | + | 0.160830i | −0.0133541 | + | 0.00534618i | ||||
\(906\) | 0.655719 | − | 2.70291i | 0.0217848 | − | 0.0897982i | ||||
\(907\) | −39.9607 | + | 7.70179i | −1.32687 | + | 0.255734i | −0.802957 | − | 0.596037i | \(-0.796741\pi\) |
−0.523915 | + | 0.851770i | \(0.675529\pi\) | |||||||
\(908\) | 17.5861 | + | 9.06625i | 0.583615 | + | 0.300874i | ||||
\(909\) | −0.639579 | + | 0.411033i | −0.0212135 | + | 0.0136331i | ||||
\(910\) | −8.09892 | − | 0.350179i | −0.268477 | − | 0.0116083i | ||||
\(911\) | −44.9349 | + | 13.1941i | −1.48876 | + | 0.437139i | −0.922145 | − | 0.386844i | \(-0.873565\pi\) |
−0.566615 | + | 0.823983i | \(0.691747\pi\) | |||||||
\(912\) | 0.440808 | − | 0.176473i | 0.0145966 | − | 0.00584360i | ||||
\(913\) | −27.4657 | − | 79.3568i | −0.908981 | − | 2.62633i | ||||
\(914\) | −0.0867503 | − | 0.121824i | −0.00286945 | − | 0.00402957i | ||||
\(915\) | −1.72655 | − | 7.11693i | −0.0570779 | − | 0.235278i | ||||
\(916\) | 8.65737 | + | 18.9570i | 0.286048 | + | 0.626357i | ||||
\(917\) | −36.5178 | + | 16.8712i | −1.20592 | + | 0.557137i | ||||
\(918\) | 0.639337 | + | 0.410877i | 0.0211013 | + | 0.0135610i | ||||
\(919\) | 15.1791 | + | 26.2910i | 0.500713 | + | 0.867260i | 1.00000 | 0.000823335i | \(0.000262076\pi\) | |
−0.499287 | + | 0.866437i | \(0.666405\pi\) | |||||||
\(920\) | 2.19663 | − | 2.61686i | 0.0724209 | − | 0.0862752i | ||||
\(921\) | 14.8104 | − | 25.6524i | 0.488019 | − | 0.845274i | ||||
\(922\) | 0.147095 | − | 3.08790i | 0.00484431 | − | 0.101695i | ||||
\(923\) | 2.15123 | + | 14.9621i | 0.0708085 | + | 0.492484i | ||||
\(924\) | −2.61514 | − | 13.2553i | −0.0860318 | − | 0.436068i | ||||
\(925\) | −48.6505 | − | 14.2851i | −1.59962 | − | 0.469690i | ||||
\(926\) | 28.8983 | − | 2.75945i | 0.949657 | − | 0.0906812i | ||||
\(927\) | 2.40041 | + | 6.93551i | 0.0788396 | + | 0.227792i | ||||
\(928\) | 2.33057 | + | 1.83278i | 0.0765047 | + | 0.0601639i | ||||
\(929\) | 22.4234 | + | 21.3807i | 0.735688 | + | 0.701477i | 0.962143 | − | 0.272545i | \(-0.0878653\pi\) |
−0.226455 | + | 0.974022i | \(0.572714\pi\) | |||||||
\(930\) | −0.596944 | − | 0.688911i | −0.0195746 | − | 0.0225903i | ||||
\(931\) | −1.95165 | − | 2.69041i | −0.0639627 | − | 0.0881746i | ||||
\(932\) | −3.38667 | + | 2.17648i | −0.110934 | + | 0.0712931i | ||||
\(933\) | −9.88812 | + | 28.5698i | −0.323723 | + | 0.935335i | ||||
\(934\) | 9.56105 | − | 39.4112i | 0.312847 | − | 1.28957i | ||||
\(935\) | 2.17329 | + | 1.70909i | 0.0710741 | + | 0.0558933i | ||||
\(936\) | −4.22313 | − | 0.813941i | −0.138037 | − | 0.0266045i | ||||
\(937\) | 11.7068 | − | 25.6343i | 0.382444 | − | 0.837436i | −0.616308 | − | 0.787505i | \(-0.711372\pi\) |
0.998753 | − | 0.0499314i | \(-0.0159003\pi\) | |||||||
\(938\) | −1.66514 | − | 0.951648i | −0.0543687 | − | 0.0310724i | ||||
\(939\) | −13.7744 | − | 30.1617i | −0.449510 | − | 0.984289i | ||||
\(940\) | 0.775863 | − | 0.610145i | 0.0253059 | − | 0.0199007i | ||||
\(941\) | 39.3627 | − | 20.2929i | 1.28319 | − | 0.661529i | 0.324472 | − | 0.945895i | \(-0.394813\pi\) |
0.958716 | + | 0.284366i | \(0.0917831\pi\) | |||||||
\(942\) | −10.0304 | + | 17.3732i | −0.326809 | + | 0.566050i | ||||
\(943\) | 3.43353 | − | 1.83882i | 0.111811 | − | 0.0598801i | ||||
\(944\) | 0.0853661 | 0.00277843 | ||||||||
\(945\) | 0.523083 | − | 1.81082i | 0.0170159 | − | 0.0589061i | ||||
\(946\) | −0.407162 | − | 2.83187i | −0.0132380 | − | 0.0920721i | ||||
\(947\) | 16.4237 | − | 23.0639i | 0.533699 | − | 0.749476i | −0.456411 | − | 0.889769i | \(-0.650865\pi\) |
0.990110 | + | 0.140294i | \(0.0448046\pi\) | |||||||
\(948\) | −7.25919 | + | 6.92162i | −0.235768 | + | 0.224804i | ||||
\(949\) | −3.94012 | − | 5.53312i | −0.127902 | − | 0.179613i | ||||
\(950\) | −2.09457 | − | 0.403695i | −0.0679567 | − | 0.0130976i | ||||
\(951\) | −1.63703 | + | 11.3858i | −0.0530843 | + | 0.369210i | ||||
\(952\) | −0.913513 | + | 1.79123i | −0.0296071 | + | 0.0580540i | ||||
\(953\) | 20.1021 | + | 23.1991i | 0.651171 | + | 0.751491i | 0.981308 | − | 0.192442i | \(-0.0616406\pi\) |
−0.330138 | + | 0.943933i | \(0.607095\pi\) | |||||||
\(954\) | 6.39252 | + | 3.29557i | 0.206966 | + | 0.106698i | ||||
\(955\) | −0.156586 | − | 3.28714i | −0.00506700 | − | 0.106370i | ||||
\(956\) | −1.04391 | + | 0.201197i | −0.0337625 | + | 0.00650718i | ||||
\(957\) | −10.9578 | − | 10.4482i | −0.354214 | − | 0.337742i | ||||
\(958\) | 2.19672 | − | 15.2785i | 0.0709728 | − | 0.493627i | ||||
\(959\) | 2.40513 | + | 24.0707i | 0.0776658 | + | 0.777284i | ||||
\(960\) | −0.295946 | + | 0.648031i | −0.00955161 | + | 0.0209151i | ||||
\(961\) | −6.92253 | − | 28.5351i | −0.223308 | − | 0.920486i | ||||
\(962\) | −48.3218 | − | 4.61417i | −1.55796 | − | 0.148767i | ||||
\(963\) | −7.87124 | − | 3.15117i | −0.253647 | − | 0.101545i | ||||
\(964\) | −0.674448 | + | 14.1584i | −0.0217225 | + | 0.456012i | ||||
\(965\) | −5.10320 | −0.164278 | ||||||||
\(966\) | −10.4814 | − | 7.15119i | −0.337235 | − | 0.230086i | ||||
\(967\) | 15.3110 | 0.492367 | 0.246184 | − | 0.969223i | \(-0.420823\pi\) | ||||
0.246184 | + | 0.969223i | \(0.420823\pi\) | |||||||
\(968\) | 0.717413 | − | 15.0604i | 0.0230585 | − | 0.484058i | ||||
\(969\) | 0.335005 | + | 0.134116i | 0.0107619 | + | 0.00430843i | ||||
\(970\) | 8.09462 | + | 0.772943i | 0.259903 | + | 0.0248177i | ||||
\(971\) | −1.22424 | − | 5.04638i | −0.0392877 | − | 0.161946i | 0.948788 | − | 0.315912i | \(-0.102310\pi\) |
−0.988076 | + | 0.153966i | \(0.950795\pi\) | |||||||
\(972\) | 0.415415 | − | 0.909632i | 0.0133244 | − | 0.0291765i | ||||
\(973\) | −29.6256 | + | 21.2929i | −0.949752 | + | 0.682618i | ||||
\(974\) | 5.44927 | − | 37.9005i | 0.174606 | − | 1.21441i | ||||
\(975\) | 13.9836 | + | 13.3333i | 0.447833 | + | 0.427008i | ||||
\(976\) | 10.0939 | − | 1.94545i | 0.323099 | − | 0.0622722i | ||||
\(977\) | −2.74784 | − | 57.6842i | −0.0879112 | − | 1.84548i | −0.426428 | − | 0.904522i | \(-0.640228\pi\) |
0.338516 | − | 0.940960i | \(-0.390075\pi\) | |||||||
\(978\) | 13.7453 | + | 7.08621i | 0.439527 | + | 0.226592i | ||||
\(979\) | 23.1865 | + | 26.7586i | 0.741043 | + | 0.855209i | ||||
\(980\) | 4.90485 | + | 0.900751i | 0.156680 | + | 0.0287734i | ||||
\(981\) | −1.35723 | + | 9.43971i | −0.0433329 | + | 0.301387i | ||||
\(982\) | −39.4559 | − | 7.60451i | −1.25909 | − | 0.242670i | ||||
\(983\) | −2.64567 | − | 3.71533i | −0.0843838 | − | 0.118500i | 0.770226 | − | 0.637771i | \(-0.220143\pi\) |
−0.854610 | + | 0.519270i | \(0.826204\pi\) | |||||||
\(984\) | −0.587777 | + | 0.560445i | −0.0187377 | + | 0.0178663i | ||||
\(985\) | 0.438649 | − | 0.615997i | 0.0139765 | − | 0.0196273i | ||||
\(986\) | 0.320674 | + | 2.23033i | 0.0102123 | + | 0.0710283i | ||||
\(987\) | −2.54122 | − | 2.64184i | −0.0808878 | − | 0.0840906i | ||||
\(988\) | −2.04213 | −0.0649687 | ||||||||
\(989\) | −2.13781 | − | 1.62760i | −0.0679785 | − | 0.0517546i | ||||
\(990\) | 1.81900 | − | 3.15060i | 0.0578116 | − | 0.100133i | ||||
\(991\) | 0.656952 | − | 0.338682i | 0.0208688 | − | 0.0107586i | −0.447761 | − | 0.894153i | \(-0.647778\pi\) |
0.468629 | + | 0.883395i | \(0.344748\pi\) | |||||||
\(992\) | 1.00579 | − | 0.790961i | 0.0319338 | − | 0.0251131i | ||||
\(993\) | 0.144200 | + | 0.315754i | 0.00457605 | + | 0.0100202i | ||||
\(994\) | −0.0408131 | − | 9.29881i | −0.00129451 | − | 0.294940i | ||||
\(995\) | 5.41582 | − | 11.8590i | 0.171693 | − | 0.375955i | ||||
\(996\) | 16.1473 | + | 3.11214i | 0.511646 | + | 0.0986118i | ||||
\(997\) | 34.3188 | + | 26.9886i | 1.08689 | + | 0.854738i | 0.990072 | − | 0.140564i | \(-0.0448916\pi\) |
0.0968163 | + | 0.995302i | \(0.469134\pi\) | |||||||
\(998\) | −6.76777 | + | 27.8971i | −0.214230 | + | 0.883069i | ||||
\(999\) | 3.69146 | − | 10.6658i | 0.116793 | − | 0.337450i |
(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 | 966.2.y.d.25.4 | ✓ | 160 | |
7.2 | even | 3 | inner | 966.2.y.d.163.4 | yes | 160 | |
23.12 | even | 11 | inner | 966.2.y.d.403.4 | yes | 160 | |
161.58 | even | 33 | inner | 966.2.y.d.541.4 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.y.d.25.4 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.y.d.163.4 | yes | 160 | 7.2 | even | 3 | inner | |
966.2.y.d.403.4 | yes | 160 | 23.12 | even | 11 | inner | |
966.2.y.d.541.4 | yes | 160 | 161.58 | even | 33 | inner |