Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(11,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bb (of order \(22\), degree \(10\), 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: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 920.11 |
Dual form | 920.2.bb.a.251.7 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30481 | − | 0.545420i | −0.922637 | − | 0.385670i | ||||
\(3\) | 0.319837 | − | 2.22451i | 0.184658 | − | 1.28432i | −0.660914 | − | 0.750462i | \(-0.729831\pi\) |
0.845571 | − | 0.533862i | \(-0.179260\pi\) | |||||||
\(4\) | 1.40503 | + | 1.42333i | 0.702517 | + | 0.711667i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | −1.63062 | + | 2.72811i | −0.665697 | + | 1.11375i | ||||
\(7\) | 0.470129 | + | 0.542558i | 0.177692 | + | 0.205068i | 0.837608 | − | 0.546272i | \(-0.183953\pi\) |
−0.659916 | + | 0.751340i | \(0.729408\pi\) | |||||||
\(8\) | −1.05698 | − | 2.62351i | −0.373700 | − | 0.927550i | ||||
\(9\) | −1.96769 | − | 0.577767i | −0.655897 | − | 0.192589i | ||||
\(10\) | 1.40561 | + | 0.155720i | 0.444494 | + | 0.0492430i | ||||
\(11\) | 0.0968928 | − | 0.150768i | 0.0292143 | − | 0.0454583i | −0.826339 | − | 0.563173i | \(-0.809581\pi\) |
0.855554 | + | 0.517714i | \(0.173217\pi\) | |||||||
\(12\) | 3.61561 | − | 2.67029i | 1.04374 | − | 0.770845i | ||||
\(13\) | 4.77506 | + | 4.13762i | 1.32436 | + | 1.14757i | 0.977800 | + | 0.209542i | \(0.0671972\pi\) |
0.346564 | + | 0.938026i | \(0.387348\pi\) | |||||||
\(14\) | −0.317505 | − | 0.964351i | −0.0848569 | − | 0.257734i | ||||
\(15\) | 0.319837 | + | 2.22451i | 0.0825815 | + | 0.574367i | ||||
\(16\) | −0.0517542 | + | 3.99967i | −0.0129386 | + | 0.999916i | ||||
\(17\) | 0.839909 | − | 0.383573i | 0.203708 | − | 0.0930302i | −0.310949 | − | 0.950427i | \(-0.600647\pi\) |
0.514656 | + | 0.857396i | \(0.327919\pi\) | |||||||
\(18\) | 2.25233 | + | 1.82709i | 0.530879 | + | 0.430649i | ||||
\(19\) | −0.153192 | − | 0.0699606i | −0.0351447 | − | 0.0160501i | 0.397765 | − | 0.917487i | \(-0.369786\pi\) |
−0.432910 | + | 0.901437i | \(0.642513\pi\) | |||||||
\(20\) | −1.74912 | − | 0.969834i | −0.391115 | − | 0.216861i | ||||
\(21\) | 1.35729 | − | 0.872280i | 0.296186 | − | 0.190347i | ||||
\(22\) | −0.208658 | + | 0.143876i | −0.0444861 | + | 0.0306744i | ||||
\(23\) | 4.51547 | − | 1.61572i | 0.941540 | − | 0.336900i | ||||
\(24\) | −6.17409 | + | 1.51218i | −1.26028 | + | 0.308673i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | −3.97379 | − | 8.00320i | −0.779325 | − | 1.56956i | ||||
\(27\) | 0.886208 | − | 1.94052i | 0.170551 | − | 0.373454i | ||||
\(28\) | −0.111693 | + | 1.43146i | −0.0211080 | + | 0.270521i | ||||
\(29\) | 4.18618 | − | 1.91177i | 0.777355 | − | 0.355006i | 0.0130947 | − | 0.999914i | \(-0.495832\pi\) |
0.764260 | + | 0.644908i | \(0.223104\pi\) | |||||||
\(30\) | 0.795969 | − | 3.07700i | 0.145323 | − | 0.561782i | ||||
\(31\) | −5.97499 | + | 0.859074i | −1.07314 | + | 0.154294i | −0.656160 | − | 0.754621i | \(-0.727821\pi\) |
−0.416980 | + | 0.908916i | \(0.636911\pi\) | |||||||
\(32\) | 2.24903 | − | 5.19056i | 0.397575 | − | 0.917570i | ||||
\(33\) | −0.304396 | − | 0.263761i | −0.0529886 | − | 0.0459149i | ||||
\(34\) | −1.30513 | + | 0.0423860i | −0.223827 | + | 0.00726915i | ||||
\(35\) | −0.603942 | − | 0.388130i | −0.102085 | − | 0.0656059i | ||||
\(36\) | −1.94232 | − | 3.61246i | −0.323720 | − | 0.602077i | ||||
\(37\) | 10.1890 | + | 2.99176i | 1.67506 | + | 0.491842i | 0.974993 | − | 0.222236i | \(-0.0713355\pi\) |
0.700066 | + | 0.714078i | \(0.253154\pi\) | |||||||
\(38\) | 0.161728 | + | 0.174839i | 0.0262358 | + | 0.0283627i | ||||
\(39\) | 10.7314 | − | 9.29884i | 1.71840 | − | 1.48901i | ||||
\(40\) | 1.75330 | + | 2.21945i | 0.277220 | + | 0.350926i | ||||
\(41\) | −3.27821 | + | 0.962568i | −0.511970 | + | 0.150328i | −0.527506 | − | 0.849551i | \(-0.676873\pi\) |
0.0155360 | + | 0.999879i | \(0.495055\pi\) | |||||||
\(42\) | −2.24676 | + | 0.397861i | −0.346683 | + | 0.0613912i | ||||
\(43\) | −0.788426 | − | 0.113359i | −0.120234 | − | 0.0172870i | 0.0819352 | − | 0.996638i | \(-0.473890\pi\) |
−0.202169 | + | 0.979351i | \(0.564799\pi\) | |||||||
\(44\) | 0.350731 | − | 0.0739238i | 0.0528747 | − | 0.0111444i | ||||
\(45\) | 2.05076 | 0.305710 | ||||||||
\(46\) | −6.77305 | − | 0.354631i | −0.998632 | − | 0.0522875i | ||||
\(47\) | − | 0.573162i | − | 0.0836043i | −0.999126 | − | 0.0418022i | \(-0.986690\pi\) | ||
0.999126 | − | 0.0418022i | \(-0.0133099\pi\) | |||||||
\(48\) | 8.88076 | + | 1.39437i | 1.28183 | + | 0.201260i | ||||
\(49\) | 0.922856 | − | 6.41861i | 0.131837 | − | 0.916944i | ||||
\(50\) | −1.39255 | + | 0.246595i | −0.196936 | + | 0.0348738i | ||||
\(51\) | −0.584631 | − | 1.99107i | −0.0818647 | − | 0.278806i | ||||
\(52\) | 0.819925 | + | 12.6100i | 0.113703 | + | 1.74869i | ||||
\(53\) | 2.71012 | + | 3.12764i | 0.372264 | + | 0.429615i | 0.910711 | − | 0.413044i | \(-0.135534\pi\) |
−0.538448 | + | 0.842659i | \(0.680989\pi\) | |||||||
\(54\) | −2.21473 | + | 2.04865i | −0.301386 | + | 0.278786i | ||||
\(55\) | −0.0504917 | + | 0.171959i | −0.00680830 | + | 0.0231869i | ||||
\(56\) | 0.926486 | − | 1.80686i | 0.123807 | − | 0.241452i | ||||
\(57\) | −0.204625 | + | 0.318403i | −0.0271033 | + | 0.0421735i | ||||
\(58\) | −6.50487 | + | 0.211256i | −0.854131 | + | 0.0277393i | ||||
\(59\) | 5.33984 | − | 6.16250i | 0.695188 | − | 0.802290i | −0.292906 | − | 0.956141i | \(-0.594622\pi\) |
0.988094 | + | 0.153851i | \(0.0491677\pi\) | |||||||
\(60\) | −2.71684 | + | 3.58076i | −0.350743 | + | 0.462274i | ||||
\(61\) | 1.26232 | + | 8.77960i | 0.161623 | + | 1.12411i | 0.895575 | + | 0.444911i | \(0.146765\pi\) |
−0.733952 | + | 0.679201i | \(0.762326\pi\) | |||||||
\(62\) | 8.26476 | + | 2.13795i | 1.04963 | + | 0.271520i | ||||
\(63\) | −0.611598 | − | 1.33921i | −0.0770541 | − | 0.168725i | ||||
\(64\) | −5.76557 | + | 5.54601i | −0.720697 | + | 0.693251i | ||||
\(65\) | −5.74734 | − | 2.62472i | −0.712870 | − | 0.325557i | ||||
\(66\) | 0.253317 | + | 0.510180i | 0.0311812 | + | 0.0627988i | ||||
\(67\) | 0.841448 | + | 1.30932i | 0.102799 | + | 0.159959i | 0.888843 | − | 0.458213i | \(-0.151510\pi\) |
−0.786043 | + | 0.618171i | \(0.787874\pi\) | |||||||
\(68\) | 1.72605 | + | 0.656536i | 0.209315 | + | 0.0796166i | ||||
\(69\) | −2.14997 | − | 10.5615i | −0.258826 | − | 1.27145i | ||||
\(70\) | 0.576333 | + | 0.835836i | 0.0688850 | + | 0.0999015i | ||||
\(71\) | −5.17146 | − | 8.04695i | −0.613739 | − | 0.954997i | −0.999475 | − | 0.0323877i | \(-0.989689\pi\) |
0.385736 | − | 0.922609i | \(-0.373948\pi\) | |||||||
\(72\) | 0.564044 | + | 5.77294i | 0.0664732 | + | 0.680348i | ||||
\(73\) | −0.463174 | + | 1.01421i | −0.0542104 | + | 0.118704i | −0.934799 | − | 0.355178i | \(-0.884420\pi\) |
0.880588 | + | 0.473882i | \(0.157148\pi\) | |||||||
\(74\) | −11.6629 | − | 9.46094i | −1.35578 | − | 1.09981i | ||||
\(75\) | −0.933600 | − | 2.04430i | −0.107803 | − | 0.236055i | ||||
\(76\) | −0.115663 | − | 0.316341i | −0.0132675 | − | 0.0362868i | ||||
\(77\) | 0.127353 | − | 0.0183105i | 0.0145132 | − | 0.00208668i | ||||
\(78\) | −19.0742 | + | 6.28004i | −2.15973 | + | 0.711075i | ||||
\(79\) | −3.93088 | + | 4.53647i | −0.442258 | + | 0.510393i | −0.932488 | − | 0.361200i | \(-0.882367\pi\) |
0.490230 | + | 0.871593i | \(0.336913\pi\) | |||||||
\(80\) | −1.07718 | − | 3.85223i | −0.120432 | − | 0.430693i | ||||
\(81\) | −9.20892 | − | 5.91821i | −1.02321 | − | 0.657579i | ||||
\(82\) | 4.80242 | + | 0.532034i | 0.530339 | + | 0.0587533i | ||||
\(83\) | 2.87550 | − | 9.79305i | 0.315627 | − | 1.07493i | −0.637020 | − | 0.770847i | \(-0.719833\pi\) |
0.952647 | − | 0.304079i | \(-0.0983488\pi\) | |||||||
\(84\) | 3.14859 | + | 0.706298i | 0.343539 | + | 0.0770634i | ||||
\(85\) | −0.697821 | + | 0.604666i | −0.0756893 | + | 0.0655852i | ||||
\(86\) | 0.966915 | + | 0.577934i | 0.104265 | + | 0.0623202i | ||||
\(87\) | −2.91386 | − | 9.92368i | −0.312398 | − | 1.06393i | ||||
\(88\) | −0.497955 | − | 0.0948395i | −0.0530822 | − | 0.0101099i | ||||
\(89\) | −7.00700 | − | 1.00745i | −0.742741 | − | 0.106790i | −0.239452 | − | 0.970908i | \(-0.576968\pi\) |
−0.503289 | + | 0.864118i | \(0.667877\pi\) | |||||||
\(90\) | −2.67585 | − | 1.11853i | −0.282059 | − | 0.117903i | ||||
\(91\) | 4.53596i | 0.475498i | ||||||||
\(92\) | 8.64409 | + | 4.15688i | 0.901209 | + | 0.433385i | ||||
\(93\) | 13.5662i | 1.40675i | ||||||||
\(94\) | −0.312614 | + | 0.747865i | −0.0322437 | + | 0.0771364i | ||||
\(95\) | 0.166697 | + | 0.0239674i | 0.0171028 | + | 0.00245901i | ||||
\(96\) | −10.8272 | − | 6.66312i | −1.10504 | − | 0.680052i | ||||
\(97\) | −5.05401 | − | 17.2124i | −0.513157 | − | 1.74765i | −0.652879 | − | 0.757462i | \(-0.726439\pi\) |
0.139722 | − | 0.990191i | \(-0.455379\pi\) | |||||||
\(98\) | −4.70498 | + | 7.87169i | −0.475275 | + | 0.795161i | ||||
\(99\) | −0.277764 | + | 0.240684i | −0.0279163 | + | 0.0241896i | ||||
\(100\) | 1.95150 | + | 0.437765i | 0.195150 | + | 0.0437765i | ||||
\(101\) | −0.789615 | + | 2.68918i | −0.0785696 | + | 0.267583i | −0.989404 | − | 0.145188i | \(-0.953621\pi\) |
0.910834 | + | 0.412772i | \(0.135439\pi\) | |||||||
\(102\) | −0.323139 | + | 2.91683i | −0.0319955 | + | 0.288809i | ||||
\(103\) | −4.87921 | − | 3.13568i | −0.480763 | − | 0.308968i | 0.277718 | − | 0.960663i | \(-0.410422\pi\) |
−0.758481 | + | 0.651695i | \(0.774058\pi\) | |||||||
\(104\) | 5.80790 | − | 16.9008i | 0.569511 | − | 1.65726i | ||||
\(105\) | −1.05656 | + | 1.21934i | −0.103110 | + | 0.118995i | ||||
\(106\) | −1.83030 | − | 5.55912i | −0.177774 | − | 0.539950i | ||||
\(107\) | 3.87763 | − | 0.557519i | 0.374864 | − | 0.0538974i | 0.0476921 | − | 0.998862i | \(-0.484813\pi\) |
0.327172 | + | 0.944965i | \(0.393904\pi\) | |||||||
\(108\) | 4.00717 | − | 1.46514i | 0.385590 | − | 0.140983i | ||||
\(109\) | −4.35000 | − | 9.52516i | −0.416654 | − | 0.912345i | −0.995307 | − | 0.0967711i | \(-0.969149\pi\) |
0.578653 | − | 0.815574i | \(-0.303579\pi\) | |||||||
\(110\) | 0.159672 | − | 0.196834i | 0.0152241 | − | 0.0187674i | ||||
\(111\) | 9.91402 | − | 21.7087i | 0.940997 | − | 2.06050i | ||||
\(112\) | −2.19438 | + | 1.85228i | −0.207350 | + | 0.175024i | ||||
\(113\) | 10.1243 | + | 15.7538i | 0.952419 | + | 1.48199i | 0.874496 | + | 0.485033i | \(0.161192\pi\) |
0.0779226 | + | 0.996959i | \(0.475171\pi\) | |||||||
\(114\) | 0.440659 | − | 0.303847i | 0.0412715 | − | 0.0284579i | ||||
\(115\) | −3.87736 | + | 2.82242i | −0.361566 | + | 0.263192i | ||||
\(116\) | 8.60281 | + | 3.27224i | 0.798751 | + | 0.303819i | ||||
\(117\) | −7.00528 | − | 10.9004i | −0.647638 | − | 1.00774i | ||||
\(118\) | −10.3286 | + | 5.12842i | −0.950825 | + | 0.472109i | ||||
\(119\) | 0.602977 | + | 0.275370i | 0.0552748 | + | 0.0252431i | ||||
\(120\) | 5.49797 | − | 3.19037i | 0.501893 | − | 0.291240i | ||||
\(121\) | 4.55622 | + | 9.97674i | 0.414202 | + | 0.906976i | ||||
\(122\) | 3.14149 | − | 12.1442i | 0.284417 | − | 1.09948i | ||||
\(123\) | 1.09276 | + | 7.60028i | 0.0985305 | + | 0.685294i | ||||
\(124\) | −9.61782 | − | 7.29738i | −0.863706 | − | 0.655324i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | 0.0675835 | + | 2.08099i | 0.00602081 | + | 0.185389i | ||||
\(127\) | 8.91263 | − | 13.8683i | 0.790868 | − | 1.23062i | −0.178242 | − | 0.983987i | \(-0.557041\pi\) |
0.969110 | − | 0.246628i | \(-0.0793227\pi\) | |||||||
\(128\) | 10.5479 | − | 4.09180i | 0.932307 | − | 0.361668i | ||||
\(129\) | −0.504336 | + | 1.71761i | −0.0444043 | + | 0.151227i | ||||
\(130\) | 6.06759 | + | 6.55946i | 0.532162 | + | 0.575303i | ||||
\(131\) | 3.65373 | + | 4.21663i | 0.319228 | + | 0.368408i | 0.892571 | − | 0.450907i | \(-0.148899\pi\) |
−0.573343 | + | 0.819315i | \(0.694354\pi\) | |||||||
\(132\) | −0.0522678 | − | 0.803850i | −0.00454933 | − | 0.0699662i | ||||
\(133\) | −0.0340625 | − | 0.116006i | −0.00295360 | − | 0.0100590i | ||||
\(134\) | −0.383798 | − | 2.16735i | −0.0331551 | − | 0.187230i | ||||
\(135\) | −0.303601 | + | 2.11159i | −0.0261298 | + | 0.181737i | ||||
\(136\) | −1.89408 | − | 1.79807i | −0.162416 | − | 0.154184i | ||||
\(137\) | − | 0.952047i | − | 0.0813389i | −0.999173 | − | 0.0406694i | \(-0.987051\pi\) | ||
0.999173 | − | 0.0406694i | \(-0.0129491\pi\) | |||||||
\(138\) | −2.95515 | + | 14.9533i | −0.251559 | + | 1.27291i | ||||
\(139\) | 21.5515 | 1.82797 | 0.913986 | − | 0.405747i | \(-0.132988\pi\) | ||||
0.913986 | + | 0.405747i | \(0.132988\pi\) | |||||||
\(140\) | −0.296121 | − | 1.40495i | −0.0250268 | − | 0.118740i | ||||
\(141\) | −1.27501 | − | 0.183318i | −0.107375 | − | 0.0154382i | ||||
\(142\) | 2.35878 | + | 13.3203i | 0.197945 | + | 1.11782i | ||||
\(143\) | 1.08649 | − | 0.319022i | 0.0908569 | − | 0.0266780i | ||||
\(144\) | 2.41271 | − | 7.84021i | 0.201059 | − | 0.653351i | ||||
\(145\) | −3.47801 | + | 3.01371i | −0.288833 | + | 0.250275i | ||||
\(146\) | 1.15752 | − | 1.07072i | 0.0957971 | − | 0.0886135i | ||||
\(147\) | −13.9831 | − | 4.10581i | −1.15331 | − | 0.338642i | ||||
\(148\) | 10.0576 | + | 18.7058i | 0.826731 | + | 1.53761i | ||||
\(149\) | −8.49979 | − | 5.46248i | −0.696330 | − | 0.447504i | 0.144001 | − | 0.989578i | \(-0.454003\pi\) |
−0.840331 | + | 0.542074i | \(0.817639\pi\) | |||||||
\(150\) | 0.103166 | + | 3.17661i | 0.00842344 | + | 0.259370i | ||||
\(151\) | 1.35702 | + | 1.17586i | 0.110433 | + | 0.0956905i | 0.708327 | − | 0.705885i | \(-0.249450\pi\) |
−0.597894 | + | 0.801575i | \(0.703996\pi\) | |||||||
\(152\) | −0.0216203 | + | 0.475848i | −0.00175364 | + | 0.0385964i | ||||
\(153\) | −1.87430 | + | 0.269483i | −0.151528 | + | 0.0217864i | ||||
\(154\) | −0.176157 | − | 0.0455689i | −0.0141952 | − | 0.00367205i | ||||
\(155\) | 5.49093 | − | 2.50763i | 0.441042 | − | 0.201417i | ||||
\(156\) | 28.3134 | + | 2.20921i | 2.26688 | + | 0.176878i | ||||
\(157\) | −4.52523 | + | 9.90888i | −0.361153 | + | 0.790815i | 0.638620 | + | 0.769522i | \(0.279505\pi\) |
−0.999773 | + | 0.0212928i | \(0.993222\pi\) | |||||||
\(158\) | 7.60331 | − | 3.77524i | 0.604887 | − | 0.300342i | ||||
\(159\) | 7.82429 | − | 5.02837i | 0.620506 | − | 0.398775i | ||||
\(160\) | −0.695575 | + | 5.61393i | −0.0549900 | + | 0.443820i | ||||
\(161\) | 2.99947 | + | 1.69031i | 0.236392 | + | 0.133215i | ||||
\(162\) | 8.78794 | + | 12.7448i | 0.690446 | + | 1.00133i | ||||
\(163\) | 3.56031 | − | 2.28807i | 0.278865 | − | 0.179216i | −0.393731 | − | 0.919226i | \(-0.628816\pi\) |
0.672596 | + | 0.740010i | \(0.265179\pi\) | |||||||
\(164\) | −5.97605 | − | 3.31354i | −0.466651 | − | 0.258744i | ||||
\(165\) | 0.366376 | + | 0.167318i | 0.0285223 | + | 0.0130257i | ||||
\(166\) | −9.09329 | + | 11.2097i | −0.705776 | + | 0.870039i | ||||
\(167\) | −9.25886 | + | 4.22838i | −0.716472 | + | 0.327202i | −0.740079 | − | 0.672519i | \(-0.765212\pi\) |
0.0236072 | + | 0.999721i | \(0.492485\pi\) | |||||||
\(168\) | −3.72307 | − | 2.63888i | −0.287241 | − | 0.203594i | ||||
\(169\) | 3.83127 | + | 26.6471i | 0.294713 | + | 2.04977i | ||||
\(170\) | 1.24032 | − | 0.408366i | 0.0951280 | − | 0.0313202i | ||||
\(171\) | 0.261015 | + | 0.226170i | 0.0199603 | + | 0.0172957i | ||||
\(172\) | −0.946420 | − | 1.28147i | −0.0721638 | − | 0.0977109i | ||||
\(173\) | −10.1342 | + | 15.7692i | −0.770491 | + | 1.19891i | 0.204977 | + | 0.978767i | \(0.434288\pi\) |
−0.975468 | + | 0.220141i | \(0.929348\pi\) | |||||||
\(174\) | −1.61056 | + | 14.5377i | −0.122096 | + | 1.10210i | ||||
\(175\) | 0.688827 | + | 0.202258i | 0.0520704 | + | 0.0152893i | ||||
\(176\) | 0.598008 | + | 0.395342i | 0.0450765 | + | 0.0298000i | ||||
\(177\) | −12.0007 | − | 13.8496i | −0.902028 | − | 1.04100i | ||||
\(178\) | 8.59329 | + | 5.13629i | 0.644094 | + | 0.384981i | ||||
\(179\) | −1.32914 | + | 0.390271i | −0.0993446 | + | 0.0291702i | −0.331027 | − | 0.943621i | \(-0.607395\pi\) |
0.231682 | + | 0.972791i | \(0.425577\pi\) | |||||||
\(180\) | 2.88139 | + | 2.91892i | 0.214766 | + | 0.217563i | ||||
\(181\) | 1.03522 | − | 7.20009i | 0.0769470 | − | 0.535178i | −0.914492 | − | 0.404605i | \(-0.867409\pi\) |
0.991439 | − | 0.130573i | \(-0.0416818\pi\) | |||||||
\(182\) | 2.47400 | − | 5.91855i | 0.183385 | − | 0.438712i | ||||
\(183\) | 19.9341 | 1.47357 | ||||||||
\(184\) | −9.01162 | − | 10.1386i | −0.664345 | − | 0.747426i | ||||
\(185\) | −10.6191 | −0.780735 | ||||||||
\(186\) | 7.39928 | − | 17.7013i | 0.542542 | − | 1.29792i | ||||
\(187\) | 0.0235505 | − | 0.163797i | 0.00172218 | − | 0.0119780i | ||||
\(188\) | 0.815801 | − | 0.805313i | 0.0594984 | − | 0.0587335i | ||||
\(189\) | 1.46948 | − | 0.431478i | 0.106889 | − | 0.0313854i | ||||
\(190\) | −0.204435 | − | 0.122193i | −0.0148313 | − | 0.00886480i | ||||
\(191\) | 4.17274 | + | 4.81559i | 0.301929 | + | 0.348444i | 0.886358 | − | 0.463000i | \(-0.153227\pi\) |
−0.584430 | + | 0.811444i | \(0.698682\pi\) | |||||||
\(192\) | 10.4931 | + | 14.5994i | 0.757276 | + | 1.05362i | ||||
\(193\) | 6.97968 | + | 2.04942i | 0.502408 | + | 0.147520i | 0.523110 | − | 0.852265i | \(-0.324772\pi\) |
−0.0207016 | + | 0.999786i | \(0.506590\pi\) | |||||||
\(194\) | −2.79347 | + | 25.2154i | −0.200559 | + | 1.81036i | ||||
\(195\) | −7.67695 | + | 11.9456i | −0.549757 | + | 0.855439i | ||||
\(196\) | 10.4325 | − | 7.70483i | 0.745176 | − | 0.550345i | ||||
\(197\) | −12.3784 | − | 10.7259i | −0.881925 | − | 0.764192i | 0.0908694 | − | 0.995863i | \(-0.471035\pi\) |
−0.972794 | + | 0.231671i | \(0.925581\pi\) | |||||||
\(198\) | 0.493702 | − | 0.162548i | 0.0350859 | − | 0.0115518i | ||||
\(199\) | 1.82041 | + | 12.6612i | 0.129045 | + | 0.897530i | 0.946768 | + | 0.321918i | \(0.104327\pi\) |
−0.817722 | + | 0.575613i | \(0.804764\pi\) | |||||||
\(200\) | −2.30757 | − | 1.63559i | −0.163170 | − | 0.115653i | ||||
\(201\) | 3.18172 | − | 1.45304i | 0.224421 | − | 0.102490i | ||||
\(202\) | 2.49703 | − | 3.07819i | 0.175690 | − | 0.216580i | ||||
\(203\) | 3.00529 | + | 1.37247i | 0.210930 | + | 0.0963286i | ||||
\(204\) | 2.01253 | − | 3.62965i | 0.140905 | − | 0.254126i | ||||
\(205\) | 2.87423 | − | 1.84715i | 0.200745 | − | 0.129011i | ||||
\(206\) | 4.65616 | + | 6.75267i | 0.324410 | + | 0.470481i | ||||
\(207\) | −9.81856 | + | 0.570344i | −0.682437 | + | 0.0396416i | ||||
\(208\) | −16.7962 | + | 18.8845i | −1.16461 | + | 1.30941i | ||||
\(209\) | −0.0253911 | + | 0.0163179i | −0.00175634 | + | 0.00112873i | ||||
\(210\) | 2.04366 | − | 1.01473i | 0.141026 | − | 0.0700231i | ||||
\(211\) | −3.95432 | + | 8.65876i | −0.272227 | + | 0.596094i | −0.995531 | − | 0.0944360i | \(-0.969895\pi\) |
0.723304 | + | 0.690530i | \(0.242622\pi\) | |||||||
\(212\) | −0.643868 | + | 8.25185i | −0.0442210 | + | 0.566740i | ||||
\(213\) | −19.5546 | + | 8.93028i | −1.33986 | + | 0.611892i | ||||
\(214\) | −5.36363 | − | 1.38748i | −0.366650 | − | 0.0948462i | ||||
\(215\) | 0.788426 | − | 0.113359i | 0.0537702 | − | 0.00773099i | ||||
\(216\) | −6.02769 | − | 0.273870i | −0.410132 | − | 0.0186345i | ||||
\(217\) | −3.27512 | − | 2.83790i | −0.222329 | − | 0.192650i | ||||
\(218\) | 0.480688 | + | 14.8011i | 0.0325563 | + | 1.00245i | ||||
\(219\) | 2.10798 | + | 1.35472i | 0.142444 | + | 0.0915434i | ||||
\(220\) | −0.315697 | + | 0.169742i | −0.0212843 | + | 0.0114440i | ||||
\(221\) | 5.59769 | + | 1.64363i | 0.376542 | + | 0.110563i | ||||
\(222\) | −24.7762 | + | 22.9183i | −1.66287 | + | 1.53818i | ||||
\(223\) | 9.07372 | − | 7.86242i | 0.607621 | − | 0.526507i | −0.295806 | − | 0.955248i | \(-0.595588\pi\) |
0.903427 | + | 0.428741i | \(0.141043\pi\) | |||||||
\(224\) | 3.87351 | − | 1.22001i | 0.258810 | − | 0.0815151i | ||||
\(225\) | −1.96769 | + | 0.577767i | −0.131179 | + | 0.0385178i | ||||
\(226\) | −4.61788 | − | 26.0777i | −0.307177 | − | 1.73466i | ||||
\(227\) | 9.60266 | + | 1.38065i | 0.637351 | + | 0.0916372i | 0.453413 | − | 0.891301i | \(-0.350206\pi\) |
0.183938 | + | 0.982938i | \(0.441115\pi\) | |||||||
\(228\) | −0.740699 | + | 0.156117i | −0.0490540 | + | 0.0103391i | ||||
\(229\) | 18.3886 | 1.21515 | 0.607576 | − | 0.794261i | \(-0.292142\pi\) | ||||
0.607576 | + | 0.794261i | \(0.292142\pi\) | |||||||
\(230\) | 6.59861 | − | 1.56792i | 0.435099 | − | 0.103386i | ||||
\(231\) | − | 0.289154i | − | 0.0190250i | ||||||
\(232\) | −9.44026 | − | 8.96177i | −0.619783 | − | 0.588369i | ||||
\(233\) | 2.73122 | − | 18.9961i | 0.178928 | − | 1.24447i | −0.680320 | − | 0.732915i | \(-0.738159\pi\) |
0.859248 | − | 0.511559i | \(-0.170932\pi\) | |||||||
\(234\) | 3.19522 | + | 18.0437i | 0.208878 | + | 1.17956i | ||||
\(235\) | 0.161478 | + | 0.549945i | 0.0105337 | + | 0.0358745i | ||||
\(236\) | 16.2740 | − | 1.05816i | 1.05934 | − | 0.0688805i | ||||
\(237\) | 8.83422 | + | 10.1952i | 0.573844 | + | 0.662251i | ||||
\(238\) | −0.636575 | − | 0.688180i | −0.0412630 | − | 0.0446081i | ||||
\(239\) | 1.41816 | − | 4.82982i | 0.0917333 | − | 0.312415i | −0.900826 | − | 0.434181i | \(-0.857038\pi\) |
0.992559 | + | 0.121767i | \(0.0388559\pi\) | |||||||
\(240\) | −8.91387 | + | 1.16411i | −0.575388 | + | 0.0751432i | ||||
\(241\) | −3.56016 | + | 5.53972i | −0.229330 | + | 0.356845i | −0.936780 | − | 0.349919i | \(-0.886209\pi\) |
0.707450 | + | 0.706764i | \(0.249846\pi\) | |||||||
\(242\) | −0.503477 | − | 15.5028i | −0.0323647 | − | 0.996555i | ||||
\(243\) | −11.9194 | + | 13.7558i | −0.764633 | + | 0.882433i | ||||
\(244\) | −10.7227 | + | 14.1323i | −0.686450 | + | 0.904730i | ||||
\(245\) | 0.922856 | + | 6.41861i | 0.0589591 | + | 0.410070i | ||||
\(246\) | 2.71951 | − | 10.5129i | 0.173390 | − | 0.670278i | ||||
\(247\) | −0.442033 | − | 0.967918i | −0.0281259 | − | 0.0615871i | ||||
\(248\) | 8.56925 | + | 14.7674i | 0.544148 | + | 0.937731i | ||||
\(249\) | −20.8651 | − | 9.52877i | −1.32227 | − | 0.603861i | ||||
\(250\) | 1.26667 | − | 0.628932i | 0.0801110 | − | 0.0397772i | ||||
\(251\) | 7.91623 | + | 12.3179i | 0.499668 | + | 0.777498i | 0.995878 | − | 0.0907042i | \(-0.0289118\pi\) |
−0.496210 | + | 0.868202i | \(0.665275\pi\) | |||||||
\(252\) | 1.04683 | − | 2.75215i | 0.0659440 | − | 0.173369i | ||||
\(253\) | 0.193918 | − | 0.837340i | 0.0121915 | − | 0.0526431i | ||||
\(254\) | −19.1933 | + | 13.2343i | −1.20430 | + | 0.830397i | ||||
\(255\) | 1.12190 | + | 1.74571i | 0.0702560 | + | 0.109320i | ||||
\(256\) | −15.9946 | − | 0.413999i | −0.999665 | − | 0.0258749i | ||||
\(257\) | 12.7005 | − | 27.8103i | 0.792237 | − | 1.73476i | 0.122103 | − | 0.992517i | \(-0.461036\pi\) |
0.670134 | − | 0.742240i | \(-0.266237\pi\) | |||||||
\(258\) | 1.59488 | − | 1.96607i | 0.0992928 | − | 0.122402i | ||||
\(259\) | 3.16694 | + | 6.93463i | 0.196784 | + | 0.430897i | ||||
\(260\) | −4.33936 | − | 11.8682i | −0.269116 | − | 0.736035i | ||||
\(261\) | −9.34167 | + | 1.34313i | −0.578235 | + | 0.0831377i | ||||
\(262\) | −2.46757 | − | 7.49469i | −0.152447 | − | 0.463024i | ||||
\(263\) | −10.0884 | + | 11.6427i | −0.622080 | + | 0.717918i | −0.976101 | − | 0.217319i | \(-0.930269\pi\) |
0.354021 | + | 0.935238i | \(0.384814\pi\) | |||||||
\(264\) | −0.370236 | + | 1.07738i | −0.0227865 | + | 0.0663079i | ||||
\(265\) | −3.48150 | − | 2.23742i | −0.213867 | − | 0.137444i | ||||
\(266\) | −0.0188272 | + | 0.169944i | −0.00115437 | + | 0.0104199i | ||||
\(267\) | −4.48220 | + | 15.2650i | −0.274306 | + | 0.934200i | ||||
\(268\) | −0.681333 | + | 3.03730i | −0.0416190 | + | 0.185532i | ||||
\(269\) | −11.7570 | + | 10.1875i | −0.716840 | + | 0.621145i | −0.934950 | − | 0.354779i | \(-0.884556\pi\) |
0.218111 | + | 0.975924i | \(0.430011\pi\) | |||||||
\(270\) | 1.54784 | − | 2.58963i | 0.0941988 | − | 0.157600i | ||||
\(271\) | 6.56192 | + | 22.3479i | 0.398608 | + | 1.35754i | 0.877464 | + | 0.479642i | \(0.159233\pi\) |
−0.478856 | + | 0.877894i | \(0.658948\pi\) | |||||||
\(272\) | 1.49070 | + | 3.37920i | 0.0903867 | + | 0.204894i | ||||
\(273\) | 10.0903 | + | 1.45077i | 0.610694 | + | 0.0878045i | ||||
\(274\) | −0.519265 | + | 1.24224i | −0.0313700 | + | 0.0750462i | ||||
\(275\) | − | 0.179218i | − | 0.0108073i | ||||||
\(276\) | 12.0117 | − | 17.8994i | 0.723022 | − | 1.07742i | ||||
\(277\) | 10.5963i | 0.636672i | 0.947978 | + | 0.318336i | \(0.103124\pi\) | ||||
−0.947978 | + | 0.318336i | \(0.896876\pi\) | |||||||
\(278\) | −28.1205 | − | 11.7546i | −1.68655 | − | 0.704993i | ||||
\(279\) | 12.2533 | + | 1.76176i | 0.733585 | + | 0.105474i | ||||
\(280\) | −0.379905 | + | 1.99469i | −0.0227037 | + | 0.119206i | ||||
\(281\) | 8.09986 | + | 27.5856i | 0.483197 | + | 1.64562i | 0.735168 | + | 0.677884i | \(0.237103\pi\) |
−0.251971 | + | 0.967735i | \(0.581079\pi\) | |||||||
\(282\) | 1.56365 | + | 0.934609i | 0.0931141 | + | 0.0556552i | ||||
\(283\) | −23.2083 | + | 20.1101i | −1.37959 | + | 1.19542i | −0.422243 | + | 0.906482i | \(0.638757\pi\) |
−0.957347 | + | 0.288940i | \(0.906697\pi\) | |||||||
\(284\) | 4.18741 | − | 18.6669i | 0.248477 | − | 1.10768i | ||||
\(285\) | 0.106632 | − | 0.363155i | 0.00631633 | − | 0.0215114i | ||||
\(286\) | −1.59166 | − | 0.176331i | −0.0941168 | − | 0.0104267i | ||||
\(287\) | −2.06343 | − | 1.32609i | −0.121800 | − | 0.0782764i | ||||
\(288\) | −7.42432 | + | 8.91401i | −0.437482 | + | 0.525263i | ||||
\(289\) | −10.5743 | + | 12.2034i | −0.622019 | + | 0.717848i | ||||
\(290\) | 6.18186 | − | 2.03533i | 0.363011 | − | 0.119519i | ||||
\(291\) | −39.9057 | + | 5.73757i | −2.33931 | + | 0.336342i | ||||
\(292\) | −2.09433 | + | 0.765748i | −0.122562 | + | 0.0448120i | ||||
\(293\) | 5.17539 | + | 11.3325i | 0.302349 | + | 0.662053i | 0.998436 | − | 0.0559050i | \(-0.0178044\pi\) |
−0.696087 | + | 0.717958i | \(0.745077\pi\) | |||||||
\(294\) | 16.0059 | + | 12.9840i | 0.933481 | + | 0.757240i | ||||
\(295\) | −3.38736 | + | 7.41729i | −0.197220 | + | 0.431851i | ||||
\(296\) | −2.92070 | − | 29.8931i | −0.169762 | − | 1.73750i | ||||
\(297\) | −0.206702 | − | 0.321635i | −0.0119941 | − | 0.0186631i | ||||
\(298\) | 8.11123 | + | 11.7634i | 0.469871 | + | 0.681437i | ||||
\(299\) | 28.2469 | + | 10.9681i | 1.63356 | + | 0.634303i | ||||
\(300\) | 1.59798 | − | 4.20113i | 0.0922592 | − | 0.242553i | ||||
\(301\) | −0.309159 | − | 0.481060i | −0.0178196 | − | 0.0277279i | ||||
\(302\) | −1.12931 | − | 2.27442i | −0.0649843 | − | 0.130878i | ||||
\(303\) | 5.72957 | + | 2.61661i | 0.329155 | + | 0.150320i | ||||
\(304\) | 0.287747 | − | 0.609098i | 0.0165034 | − | 0.0349341i | ||||
\(305\) | −3.68468 | − | 8.06833i | −0.210984 | − | 0.461991i | ||||
\(306\) | 2.59257 | + | 0.670655i | 0.148208 | + | 0.0383388i | ||||
\(307\) | −0.514393 | − | 3.57768i | −0.0293580 | − | 0.204189i | 0.969863 | − | 0.243650i | \(-0.0783449\pi\) |
−0.999221 | + | 0.0394613i | \(0.987436\pi\) | |||||||
\(308\) | 0.204997 | + | 0.155538i | 0.0116808 | + | 0.00886262i | ||||
\(309\) | −8.53592 | + | 9.85097i | −0.485591 | + | 0.560402i | ||||
\(310\) | −8.53231 | + | 0.277100i | −0.484603 | + | 0.0157382i | ||||
\(311\) | 9.85874 | − | 15.3405i | 0.559038 | − | 0.869880i | −0.440575 | − | 0.897716i | \(-0.645225\pi\) |
0.999612 | + | 0.0278362i | \(0.00886168\pi\) | |||||||
\(312\) | −35.7385 | − | 18.3253i | −2.02329 | − | 1.03746i | ||||
\(313\) | −3.52387 | + | 12.0012i | −0.199181 | + | 0.678347i | 0.797955 | + | 0.602717i | \(0.205915\pi\) |
−0.997136 | + | 0.0756303i | \(0.975903\pi\) | |||||||
\(314\) | 11.3090 | − | 10.4610i | 0.638207 | − | 0.590349i | ||||
\(315\) | 0.964124 | + | 1.11266i | 0.0543222 | + | 0.0626912i | ||||
\(316\) | −11.9799 | + | 0.778957i | −0.673924 | + | 0.0438197i | ||||
\(317\) | 0.913861 | + | 3.11232i | 0.0513275 | + | 0.174806i | 0.981168 | − | 0.193158i | \(-0.0618731\pi\) |
−0.929840 | + | 0.367964i | \(0.880055\pi\) | |||||||
\(318\) | −12.9517 | + | 2.29352i | −0.726298 | + | 0.128614i | ||||
\(319\) | 0.117378 | − | 0.816380i | 0.00657189 | − | 0.0457085i | ||||
\(320\) | 3.96954 | − | 6.94570i | 0.221904 | − | 0.388277i | ||||
\(321\) | − | 8.80415i | − | 0.491400i | ||||||
\(322\) | −2.99180 | − | 3.84150i | −0.166727 | − | 0.214078i | ||||
\(323\) | −0.155503 | −0.00865240 | ||||||||
\(324\) | −4.51526 | − | 21.4226i | −0.250848 | − | 1.19015i | ||||
\(325\) | 6.25400 | + | 0.899190i | 0.346910 | + | 0.0498781i | ||||
\(326\) | −5.89348 | + | 1.04363i | −0.326409 | + | 0.0578012i | ||||
\(327\) | −22.5802 | + | 6.63013i | −1.24869 | + | 0.366647i | ||||
\(328\) | 5.99031 | + | 7.58298i | 0.330760 | + | 0.418700i | ||||
\(329\) | 0.310974 | − | 0.269460i | 0.0171445 | − | 0.0148558i | ||||
\(330\) | −0.386791 | − | 0.418147i | −0.0212921 | − | 0.0230182i | ||||
\(331\) | 6.00560 | + | 1.76340i | 0.330098 | + | 0.0969254i | 0.442582 | − | 0.896728i | \(-0.354063\pi\) |
−0.112484 | + | 0.993654i | \(0.535881\pi\) | |||||||
\(332\) | 17.9789 | − | 9.66678i | 0.986723 | − | 0.530534i | ||||
\(333\) | −18.3203 | − | 11.7737i | −1.00394 | − | 0.645196i | ||||
\(334\) | 14.3873 | − | 0.467249i | 0.787236 | − | 0.0255667i | ||||
\(335\) | −1.17624 | − | 1.01922i | −0.0642649 | − | 0.0556858i | ||||
\(336\) | 3.41858 | + | 5.47386i | 0.186499 | + | 0.298624i | ||||
\(337\) | 6.53734 | − | 0.939927i | 0.356112 | − | 0.0512011i | 0.0380625 | − | 0.999275i | \(-0.487881\pi\) |
0.318049 | + | 0.948074i | \(0.396972\pi\) | |||||||
\(338\) | 9.53477 | − | 36.8589i | 0.518623 | − | 2.00486i | ||||
\(339\) | 38.2827 | − | 17.4831i | 2.07923 | − | 0.949553i | ||||
\(340\) | −1.84110 | − | 0.143656i | −0.0998479 | − | 0.00779084i | ||||
\(341\) | −0.449413 | + | 0.984077i | −0.0243371 | + | 0.0532907i | ||||
\(342\) | −0.217215 | − | 0.437471i | −0.0117457 | − | 0.0236557i | ||||
\(343\) | 8.14392 | − | 5.23378i | 0.439731 | − | 0.282598i | ||||
\(344\) | 0.535957 | + | 2.18826i | 0.0288968 | + | 0.117983i | ||||
\(345\) | 5.03840 | + | 9.52796i | 0.271258 | + | 0.512968i | ||||
\(346\) | 21.8240 | − | 15.0483i | 1.17327 | − | 0.809001i | ||||
\(347\) | 13.4714 | − | 8.65751i | 0.723180 | − | 0.464760i | −0.126562 | − | 0.991959i | \(-0.540394\pi\) |
0.849742 | + | 0.527199i | \(0.176758\pi\) | |||||||
\(348\) | 10.0306 | − | 18.0905i | 0.537698 | − | 0.969753i | ||||
\(349\) | −14.3479 | − | 6.55248i | −0.768027 | − | 0.350746i | −0.00743161 | − | 0.999972i | \(-0.502366\pi\) |
−0.760595 | + | 0.649226i | \(0.775093\pi\) | |||||||
\(350\) | −0.788470 | − | 0.639607i | −0.0421455 | − | 0.0341884i | ||||
\(351\) | 12.2608 | − | 5.59934i | 0.654435 | − | 0.298871i | ||||
\(352\) | −0.564657 | − | 0.842009i | −0.0300963 | − | 0.0448792i | ||||
\(353\) | −2.40269 | − | 16.7111i | −0.127882 | − | 0.889440i | −0.948232 | − | 0.317578i | \(-0.897130\pi\) |
0.820350 | − | 0.571862i | \(-0.193779\pi\) | |||||||
\(354\) | 8.10477 | + | 24.6164i | 0.430764 | + | 1.30835i | ||||
\(355\) | 7.22907 | + | 6.26402i | 0.383679 | + | 0.332460i | ||||
\(356\) | −8.41114 | − | 11.3888i | −0.445789 | − | 0.603606i | ||||
\(357\) | 0.805419 | − | 1.25326i | 0.0426273 | − | 0.0663294i | ||||
\(358\) | 1.94713 | + | 0.215712i | 0.102909 | + | 0.0114007i | ||||
\(359\) | −19.0696 | − | 5.59935i | −1.00646 | − | 0.295522i | −0.263353 | − | 0.964699i | \(-0.584828\pi\) |
−0.743103 | + | 0.669177i | \(0.766647\pi\) | |||||||
\(360\) | −2.16762 | − | 5.38019i | −0.114244 | − | 0.283561i | ||||
\(361\) | −12.4238 | − | 14.3378i | −0.653883 | − | 0.754621i | ||||
\(362\) | −5.27782 | + | 8.83009i | −0.277396 | + | 0.464099i | ||||
\(363\) | 23.6506 | − | 6.94446i | 1.24134 | − | 0.364489i | ||||
\(364\) | −6.45619 | + | 6.37319i | −0.338396 | + | 0.334046i | ||||
\(365\) | 0.158676 | − | 1.10362i | 0.00830549 | − | 0.0577660i | ||||
\(366\) | −26.0101 | − | 10.8724i | −1.35957 | − | 0.568311i | ||||
\(367\) | 5.05840 | 0.264046 | 0.132023 | − | 0.991247i | \(-0.457853\pi\) | ||||
0.132023 | + | 0.991247i | \(0.457853\pi\) | |||||||
\(368\) | 6.22863 | + | 18.1440i | 0.324690 | + | 0.945821i | ||||
\(369\) | 7.00664 | 0.364751 | ||||||||
\(370\) | 13.8559 | + | 5.79189i | 0.720334 | + | 0.301106i | ||||
\(371\) | −0.422823 | + | 2.94080i | −0.0219519 | + | 0.152678i | ||||
\(372\) | −19.3093 | + | 19.0610i | −1.00114 | + | 0.988268i | ||||
\(373\) | 24.3624 | − | 7.15346i | 1.26144 | − | 0.370392i | 0.418409 | − | 0.908259i | \(-0.362588\pi\) |
0.843030 | + | 0.537867i | \(0.180770\pi\) | |||||||
\(374\) | −0.120067 | + | 0.200878i | −0.00620851 | + | 0.0103872i | ||||
\(375\) | 1.47173 | + | 1.69846i | 0.0759997 | + | 0.0877083i | ||||
\(376\) | −1.50369 | + | 0.605823i | −0.0775471 | + | 0.0312429i | ||||
\(377\) | 27.8994 | + | 8.19201i | 1.43689 | + | 0.421910i | ||||
\(378\) | −2.15272 | − | 0.238488i | −0.110724 | − | 0.0122665i | ||||
\(379\) | 10.4439 | − | 16.2510i | 0.536467 | − | 0.834759i | −0.462179 | − | 0.886787i | \(-0.652932\pi\) |
0.998646 | + | 0.0520278i | \(0.0165685\pi\) | |||||||
\(380\) | 0.200102 | + | 0.270941i | 0.0102650 | + | 0.0138990i | ||||
\(381\) | −27.9997 | − | 24.2619i | −1.43447 | − | 1.24297i | ||||
\(382\) | −2.81809 | − | 8.55930i | −0.144186 | − | 0.437932i | ||||
\(383\) | 3.47190 | + | 24.1476i | 0.177406 | + | 1.23389i | 0.862737 | + | 0.505654i | \(0.168749\pi\) |
−0.685330 | + | 0.728232i | \(0.740342\pi\) | |||||||
\(384\) | −5.72868 | − | 24.7726i | −0.292341 | − | 1.26417i | ||||
\(385\) | −0.117035 | + | 0.0534482i | −0.00596467 | + | 0.00272397i | ||||
\(386\) | −7.98933 | − | 6.48094i | −0.406646 | − | 0.329871i | ||||
\(387\) | 1.48589 | + | 0.678581i | 0.0755318 | + | 0.0344942i | ||||
\(388\) | 17.3979 | − | 31.3775i | 0.883244 | − | 1.59295i | ||||
\(389\) | −28.0661 | + | 18.0370i | −1.42301 | + | 0.914513i | −0.423045 | + | 0.906109i | \(0.639039\pi\) |
−0.999965 | + | 0.00840403i | \(0.997325\pi\) | |||||||
\(390\) | 16.5323 | − | 11.3995i | 0.837144 | − | 0.577235i | ||||
\(391\) | 3.17284 | − | 3.08907i | 0.160457 | − | 0.156221i | ||||
\(392\) | −17.8147 | + | 4.36324i | −0.899778 | + | 0.220377i | ||||
\(393\) | 10.5485 | − | 6.77914i | 0.532104 | − | 0.341962i | ||||
\(394\) | 10.3013 | + | 20.7467i | 0.518970 | + | 1.04520i | ||||
\(395\) | 2.49358 | − | 5.46017i | 0.125465 | − | 0.274731i | ||||
\(396\) | −0.732842 | − | 0.0571815i | −0.0368267 | − | 0.00287348i | ||||
\(397\) | −19.4096 | + | 8.86407i | −0.974140 | + | 0.444875i | −0.837914 | − | 0.545803i | \(-0.816225\pi\) |
−0.136227 | + | 0.990678i | \(0.543498\pi\) | |||||||
\(398\) | 4.53040 | − | 17.5133i | 0.227088 | − | 0.877864i | ||||
\(399\) | −0.268952 | + | 0.0386695i | −0.0134645 | + | 0.00193590i | ||||
\(400\) | 2.11884 | + | 3.39271i | 0.105942 | + | 0.169636i | ||||
\(401\) | −15.7700 | − | 13.6648i | −0.787517 | − | 0.682388i | 0.165195 | − | 0.986261i | \(-0.447175\pi\) |
−0.952712 | + | 0.303873i | \(0.901720\pi\) | |||||||
\(402\) | −4.94405 | + | 0.160566i | −0.246587 | + | 0.00800830i | ||||
\(403\) | −32.0855 | − | 20.6201i | −1.59829 | − | 1.02716i | ||||
\(404\) | −4.93704 | + | 2.65451i | −0.245627 | + | 0.132067i | ||||
\(405\) | 10.5032 | + | 3.08403i | 0.521910 | + | 0.153247i | ||||
\(406\) | −3.17275 | − | 3.42995i | −0.157461 | − | 0.170226i | ||||
\(407\) | 1.43830 | − | 1.24630i | 0.0712940 | − | 0.0617766i | ||||
\(408\) | −4.60564 | + | 3.63831i | −0.228013 | + | 0.180123i | ||||
\(409\) | −13.5002 | + | 3.96402i | −0.667543 | + | 0.196008i | −0.597909 | − | 0.801564i | \(-0.704001\pi\) |
−0.0696345 | + | 0.997573i | \(0.522183\pi\) | |||||||
\(410\) | −4.75778 | + | 0.842517i | −0.234970 | + | 0.0416089i | ||||
\(411\) | −2.11784 | − | 0.304500i | −0.104465 | − | 0.0150199i | ||||
\(412\) | −2.39235 | − | 11.3505i | −0.117862 | − | 0.559198i | ||||
\(413\) | 5.85393 | 0.288053 | ||||||||
\(414\) | 13.1224 | + | 4.61105i | 0.644930 | + | 0.226621i | ||||
\(415\) | 10.2065i | 0.501017i | ||||||||
\(416\) | 32.2158 | − | 15.4796i | 1.57951 | − | 0.758952i | ||||
\(417\) | 6.89295 | − | 47.9415i | 0.337549 | − | 2.34771i | ||||
\(418\) | 0.0420305 | − | 0.00744284i | 0.00205578 | − | 0.000364041i | ||||
\(419\) | −7.70508 | − | 26.2411i | −0.376418 | − | 1.28196i | −0.902191 | − | 0.431337i | \(-0.858042\pi\) |
0.525773 | − | 0.850625i | \(-0.323776\pi\) | |||||||
\(420\) | −3.22004 | + | 0.209372i | −0.157122 | + | 0.0102163i | ||||
\(421\) | 16.3841 | + | 18.9083i | 0.798514 | + | 0.921535i | 0.998299 | − | 0.0583053i | \(-0.0185697\pi\) |
−0.199785 | + | 0.979840i | \(0.564024\pi\) | |||||||
\(422\) | 9.88228 | − | 9.14123i | 0.481062 | − | 0.444988i | ||||
\(423\) | −0.331154 | + | 1.12781i | −0.0161013 | + | 0.0548359i | ||||
\(424\) | 5.34084 | − | 10.4159i | 0.259374 | − | 0.505840i | ||||
\(425\) | 0.499201 | − | 0.776771i | 0.0242148 | − | 0.0376789i | ||||
\(426\) | 30.3857 | − | 0.986823i | 1.47219 | − | 0.0478117i | ||||
\(427\) | −4.16999 | + | 4.81243i | −0.201800 | + | 0.232890i | ||||
\(428\) | 6.24174 | + | 4.73582i | 0.301706 | + | 0.228915i | ||||
\(429\) | −0.362170 | − | 2.51895i | −0.0174857 | − | 0.121616i | ||||
\(430\) | −1.09057 | − | 0.282112i | −0.0525920 | − | 0.0136047i | ||||
\(431\) | −12.4547 | − | 27.2719i | −0.599921 | − | 1.31364i | −0.929258 | − | 0.369431i | \(-0.879553\pi\) |
0.329338 | − | 0.944212i | \(-0.393175\pi\) | |||||||
\(432\) | 7.71558 | + | 3.64496i | 0.371216 | + | 0.175368i | ||||
\(433\) | 11.1500 | + | 5.09205i | 0.535837 | + | 0.244709i | 0.664906 | − | 0.746927i | \(-0.268472\pi\) |
−0.129069 | + | 0.991636i | \(0.541199\pi\) | |||||||
\(434\) | 2.72554 | + | 5.48923i | 0.130830 | + | 0.263491i | ||||
\(435\) | 5.59165 | + | 8.70077i | 0.268099 | + | 0.417170i | ||||
\(436\) | 7.44558 | − | 19.5747i | 0.356579 | − | 0.937457i | ||||
\(437\) | −0.804772 | − | 0.0683897i | −0.0384975 | − | 0.00327152i | ||||
\(438\) | −2.01162 | − | 2.91738i | −0.0961188 | − | 0.139398i | ||||
\(439\) | −15.0239 | − | 23.3777i | −0.717053 | − | 1.11576i | −0.988193 | − | 0.153217i | \(-0.951037\pi\) |
0.271139 | − | 0.962540i | \(-0.412600\pi\) | |||||||
\(440\) | 0.504504 | − | 0.0492924i | 0.0240513 | − | 0.00234992i | ||||
\(441\) | −5.52435 | + | 12.0966i | −0.263064 | + | 0.576031i | ||||
\(442\) | −6.40743 | − | 5.19771i | −0.304771 | − | 0.247230i | ||||
\(443\) | −15.3666 | − | 33.6481i | −0.730088 | − | 1.59867i | −0.799203 | − | 0.601061i | \(-0.794745\pi\) |
0.0691150 | − | 0.997609i | \(-0.477982\pi\) | |||||||
\(444\) | 44.8282 | − | 16.3905i | 2.12745 | − | 0.777859i | ||||
\(445\) | 7.00700 | − | 1.00745i | 0.332164 | − | 0.0477579i | ||||
\(446\) | −16.1278 | + | 5.30995i | −0.763671 | + | 0.251433i | ||||
\(447\) | −14.8699 | + | 17.1608i | −0.703323 | + | 0.811678i | ||||
\(448\) | −5.71960 | − | 0.520819i | −0.270225 | − | 0.0246064i | ||||
\(449\) | 11.7216 | + | 7.53301i | 0.553176 | + | 0.355505i | 0.787173 | − | 0.616733i | \(-0.211544\pi\) |
−0.233996 | + | 0.972237i | \(0.575180\pi\) | |||||||
\(450\) | 2.88258 | + | 0.319345i | 0.135886 | + | 0.0150541i | ||||
\(451\) | −0.172510 | + | 0.587515i | −0.00812318 | + | 0.0276650i | ||||
\(452\) | −8.19783 | + | 36.5449i | −0.385594 | + | 1.71893i | ||||
\(453\) | 3.04975 | − | 2.64263i | 0.143290 | − | 0.124161i | ||||
\(454\) | −11.7766 | − | 7.03896i | −0.552701 | − | 0.330355i | ||||
\(455\) | −1.27793 | − | 4.35223i | −0.0599102 | − | 0.204035i | ||||
\(456\) | 1.05162 | + | 0.200289i | 0.0492465 | + | 0.00937938i | ||||
\(457\) | 22.8644 | + | 3.28741i | 1.06955 | + | 0.153778i | 0.654532 | − | 0.756034i | \(-0.272866\pi\) |
0.415020 | + | 0.909812i | \(0.363775\pi\) | |||||||
\(458\) | −23.9935 | − | 10.0295i | −1.12114 | − | 0.468648i | ||||
\(459\) | − | 1.96979i | − | 0.0919419i | ||||||
\(460\) | −9.46508 | − | 1.55317i | −0.441311 | − | 0.0724172i | ||||
\(461\) | 13.2188i | 0.615660i | 0.951441 | + | 0.307830i | \(0.0996027\pi\) | ||||
−0.951441 | + | 0.307830i | \(0.900397\pi\) | |||||||
\(462\) | −0.157710 | + | 0.377290i | −0.00733735 | + | 0.0175531i | ||||
\(463\) | −26.2501 | − | 3.77420i | −1.21995 | − | 0.175402i | −0.497893 | − | 0.867238i | \(-0.665893\pi\) |
−0.722054 | + | 0.691836i | \(0.756802\pi\) | |||||||
\(464\) | 7.42977 | + | 16.8423i | 0.344918 | + | 0.781883i | ||||
\(465\) | −3.82205 | − | 13.0167i | −0.177243 | − | 0.603635i | ||||
\(466\) | −13.9246 | + | 23.2965i | −0.645042 | + | 1.07919i | ||||
\(467\) | −26.4899 | + | 22.9537i | −1.22581 | + | 1.06217i | −0.229769 | + | 0.973245i | \(0.573797\pi\) |
−0.996038 | + | 0.0889231i | \(0.971657\pi\) | |||||||
\(468\) | 5.67228 | − | 25.2863i | 0.262201 | − | 1.16886i | ||||
\(469\) | −0.314792 | + | 1.07208i | −0.0145357 | + | 0.0495042i | ||||
\(470\) | 0.0892529 | − | 0.805645i | 0.00411693 | − | 0.0371616i | ||||
\(471\) | 20.5951 | + | 13.2357i | 0.948973 | + | 0.609868i | ||||
\(472\) | −21.8115 | − | 7.49544i | −1.00396 | − | 0.345006i | ||||
\(473\) | −0.0934837 | + | 0.107886i | −0.00429839 | + | 0.00496060i | ||||
\(474\) | −5.96626 | − | 18.1211i | −0.274039 | − | 0.832332i | ||||
\(475\) | −0.166697 | + | 0.0239674i | −0.00764859 | + | 0.00109970i | ||||
\(476\) | 0.455260 | + | 1.24514i | 0.0208668 | + | 0.0570709i | ||||
\(477\) | −3.52563 | − | 7.72006i | −0.161428 | − | 0.353477i | ||||
\(478\) | −4.48470 | + | 5.52848i | −0.205125 | + | 0.252867i | ||||
\(479\) | −15.6582 | + | 34.2867i | −0.715442 | + | 1.56660i | 0.104742 | + | 0.994499i | \(0.466598\pi\) |
−0.820184 | + | 0.572100i | \(0.806129\pi\) | |||||||
\(480\) | 12.2658 | + | 3.34286i | 0.559854 | + | 0.152580i | ||||
\(481\) | 36.2743 | + | 56.4439i | 1.65397 | + | 2.57362i | ||||
\(482\) | 7.66679 | − | 5.28648i | 0.349213 | − | 0.240792i | ||||
\(483\) | 4.71946 | − | 6.13175i | 0.214743 | − | 0.279004i | ||||
\(484\) | −7.79857 | + | 20.5027i | −0.354480 | + | 0.931940i | ||||
\(485\) | 9.69858 | + | 15.0913i | 0.440390 | + | 0.685260i | ||||
\(486\) | 23.0552 | − | 11.4475i | 1.04581 | − | 0.519270i | ||||
\(487\) | −24.0293 | − | 10.9738i | −1.08887 | − | 0.497272i | −0.211646 | − | 0.977346i | \(-0.567882\pi\) |
−0.877228 | + | 0.480075i | \(0.840610\pi\) | |||||||
\(488\) | 21.6991 | − | 12.5916i | 0.982271 | − | 0.569994i | ||||
\(489\) | −3.95114 | − | 8.65178i | −0.178677 | − | 0.391247i | ||||
\(490\) | 2.29669 | − | 8.87838i | 0.103754 | − | 0.401084i | ||||
\(491\) | −0.621815 | − | 4.32482i | −0.0280621 | − | 0.195176i | 0.970968 | − | 0.239210i | \(-0.0768883\pi\) |
−0.999030 | + | 0.0440334i | \(0.985979\pi\) | |||||||
\(492\) | −9.28237 | + | 12.2340i | −0.418482 | + | 0.551552i | ||||
\(493\) | 2.78271 | − | 3.21142i | 0.125327 | − | 0.144635i | ||||
\(494\) | 0.0488460 | + | 1.50404i | 0.00219769 | + | 0.0676699i | ||||
\(495\) | 0.198704 | − | 0.309190i | 0.00893109 | − | 0.0138970i | ||||
\(496\) | −3.12678 | − | 23.9424i | −0.140396 | − | 1.07505i | ||||
\(497\) | 1.93468 | − | 6.58892i | 0.0867824 | − | 0.295554i | ||||
\(498\) | 22.0277 | + | 23.8134i | 0.987085 | + | 1.06710i | ||||
\(499\) | −27.6602 | − | 31.9215i | −1.23824 | − | 1.42900i | −0.865381 | − | 0.501115i | \(-0.832923\pi\) |
−0.372858 | − | 0.927889i | \(-0.621622\pi\) | |||||||
\(500\) | −1.99579 | + | 0.129770i | −0.0892542 | + | 0.00580347i | ||||
\(501\) | 6.44477 | + | 21.9489i | 0.287931 | + | 0.980603i | ||||
\(502\) | −3.61072 | − | 20.3901i | −0.161154 | − | 0.910055i | ||||
\(503\) | 2.56665 | − | 17.8514i | 0.114441 | − | 0.795955i | −0.849069 | − | 0.528282i | \(-0.822836\pi\) |
0.963510 | − | 0.267673i | \(-0.0862546\pi\) | |||||||
\(504\) | −2.86698 | + | 3.02006i | −0.127706 | + | 0.134524i | ||||
\(505\) | − | 2.80271i | − | 0.124719i | ||||||
\(506\) | −0.709727 | + | 0.986800i | −0.0315512 | + | 0.0438686i | ||||
\(507\) | 60.5022 | 2.68700 | ||||||||
\(508\) | 32.2618 | − | 6.79984i | 1.43139 | − | 0.301694i | ||||
\(509\) | −16.5636 | − | 2.38149i | −0.734171 | − | 0.105558i | −0.234919 | − | 0.972015i | \(-0.575483\pi\) |
−0.499251 | + | 0.866457i | \(0.666392\pi\) | |||||||
\(510\) | −0.511716 | − | 2.88972i | −0.0226592 | − | 0.127959i | ||||
\(511\) | −0.768019 | + | 0.225511i | −0.0339752 | + | 0.00997600i | ||||
\(512\) | 20.6441 | + | 9.26398i | 0.912349 | + | 0.409414i | ||||
\(513\) | −0.271521 | + | 0.235274i | −0.0119879 | + | 0.0103876i | ||||
\(514\) | −31.7400 | + | 29.3599i | −1.39999 | + | 1.29501i | ||||
\(515\) | 5.56499 | + | 1.63403i | 0.245223 | + | 0.0720039i | ||||
\(516\) | −3.15334 | + | 1.69546i | −0.138818 | + | 0.0746386i | ||||
\(517\) | −0.0864146 | − | 0.0555353i | −0.00380051 | − | 0.00244244i | ||||
\(518\) | −0.349957 | − | 10.7757i | −0.0153762 | − | 0.473455i | ||||
\(519\) | 31.8375 | + | 27.5873i | 1.39751 | + | 1.21095i | ||||
\(520\) | −0.811133 | + | 17.8525i | −0.0355705 | + | 0.782883i | ||||
\(521\) | −17.8048 | + | 2.55994i | −0.780041 | + | 0.112153i | −0.520822 | − | 0.853665i | \(-0.674374\pi\) |
−0.259220 | + | 0.965818i | \(0.583465\pi\) | |||||||
\(522\) | 12.9216 | + | 3.34261i | 0.565565 | + | 0.146302i | ||||
\(523\) | −2.05150 | + | 0.936891i | −0.0897060 | + | 0.0409674i | −0.459763 | − | 0.888042i | \(-0.652066\pi\) |
0.370057 | + | 0.929009i | \(0.379338\pi\) | |||||||
\(524\) | −0.868049 | + | 11.1250i | −0.0379209 | + | 0.485997i | ||||
\(525\) | 0.670238 | − | 1.46762i | 0.0292516 | − | 0.0640520i | ||||
\(526\) | 19.5136 | − | 9.68900i | 0.850833 | − | 0.422460i | ||||
\(527\) | −4.68893 | + | 3.01339i | −0.204253 | + | 0.131265i | ||||
\(528\) | 1.07071 | − | 1.20383i | 0.0465966 | − | 0.0523901i | ||||
\(529\) | 17.7789 | − | 14.5914i | 0.772997 | − | 0.634410i | ||||
\(530\) | 3.32235 | + | 4.81828i | 0.144313 | + | 0.209293i | ||||
\(531\) | −14.0677 | + | 9.04073i | −0.610484 | + | 0.392334i | ||||
\(532\) | 0.117257 | − | 0.211475i | 0.00508372 | − | 0.00916862i | ||||
\(533\) | −19.6364 | − | 8.96763i | −0.850546 | − | 0.388431i | ||||
\(534\) | 14.1742 | − | 17.4731i | 0.613378 | − | 0.756136i | ||||
\(535\) | −3.56348 | + | 1.62739i | −0.154063 | + | 0.0703582i | ||||
\(536\) | 2.54561 | − | 3.59147i | 0.109954 | − | 0.155128i | ||||
\(537\) | 0.443055 | + | 3.08151i | 0.0191192 | + | 0.132977i | ||||
\(538\) | 20.8971 | − | 6.88023i | 0.900940 | − | 0.296628i | ||||
\(539\) | −0.878303 | − | 0.761054i | −0.0378312 | − | 0.0327809i | ||||
\(540\) | −3.43207 | + | 2.53474i | −0.147693 | + | 0.109078i | ||||
\(541\) | 10.7066 | − | 16.6597i | 0.460311 | − | 0.716258i | −0.531061 | − | 0.847333i | \(-0.678207\pi\) |
0.991372 | + | 0.131075i | \(0.0418430\pi\) | |||||||
\(542\) | 3.62693 | − | 32.7386i | 0.155790 | − | 1.40624i | ||||
\(543\) | −15.6856 | − | 4.60571i | −0.673134 | − | 0.197650i | ||||
\(544\) | −0.101984 | − | 5.22226i | −0.00437254 | − | 0.223903i | ||||
\(545\) | 6.85734 | + | 7.91379i | 0.293736 | + | 0.338990i | ||||
\(546\) | −12.3746 | − | 7.39643i | −0.529585 | − | 0.316538i | ||||
\(547\) | −3.36108 | + | 0.986902i | −0.143709 | + | 0.0421969i | −0.352796 | − | 0.935700i | \(-0.614769\pi\) |
0.209087 | + | 0.977897i | \(0.432951\pi\) | |||||||
\(548\) | 1.35508 | − | 1.33766i | 0.0578861 | − | 0.0571420i | ||||
\(549\) | 2.58871 | − | 18.0049i | 0.110483 | − | 0.768429i | ||||
\(550\) | −0.0977493 | + | 0.233845i | −0.00416804 | + | 0.00997120i | ||||
\(551\) | −0.775040 | −0.0330178 | ||||||||
\(552\) | −25.4357 | + | 16.8038i | −1.08261 | + | 0.715217i | ||||
\(553\) | −4.30932 | −0.183251 | ||||||||
\(554\) | 5.77945 | − | 13.8262i | 0.245545 | − | 0.587417i | ||||
\(555\) | −3.39639 | + | 23.6224i | −0.144169 | + | 1.00272i | ||||
\(556\) | 30.2806 | + | 30.6749i | 1.28418 | + | 1.30091i | ||||
\(557\) | 18.6533 | − | 5.47710i | 0.790365 | − | 0.232072i | 0.138455 | − | 0.990369i | \(-0.455786\pi\) |
0.651910 | + | 0.758297i | \(0.273968\pi\) | |||||||
\(558\) | −15.0273 | − | 8.98194i | −0.636155 | − | 0.380236i | ||||
\(559\) | −3.29575 | − | 3.80350i | −0.139395 | − | 0.160871i | ||||
\(560\) | 1.58365 | − | 2.39548i | 0.0669213 | − | 0.101227i | ||||
\(561\) | −0.356837 | − | 0.104777i | −0.0150657 | − | 0.00442367i | ||||
\(562\) | 4.47698 | − | 40.4117i | 0.188850 | − | 1.70466i | ||||
\(563\) | −7.49848 | + | 11.6679i | −0.316023 | + | 0.491742i | −0.962533 | − | 0.271164i | \(-0.912591\pi\) |
0.646510 | + | 0.762905i | \(0.276228\pi\) | |||||||
\(564\) | −1.53051 | − | 2.07233i | −0.0644460 | − | 0.0872608i | ||||
\(565\) | −14.1526 | − | 12.2633i | −0.595404 | − | 0.515921i | ||||
\(566\) | 41.2508 | − | 13.5815i | 1.73390 | − | 0.570874i | ||||
\(567\) | −1.11841 | − | 7.77870i | −0.0469687 | − | 0.326675i | ||||
\(568\) | −15.6451 | + | 22.0728i | −0.656453 | + | 0.926156i | ||||
\(569\) | −29.8962 | + | 13.6531i | −1.25331 | + | 0.572369i | −0.927768 | − | 0.373157i | \(-0.878275\pi\) |
−0.325546 | + | 0.945526i | \(0.605548\pi\) | |||||||
\(570\) | −0.337206 | + | 0.415687i | −0.0141240 | + | 0.0174112i | ||||
\(571\) | −17.3239 | − | 7.91156i | −0.724983 | − | 0.331088i | 0.0185136 | − | 0.999829i | \(-0.494107\pi\) |
−0.743496 | + | 0.668740i | \(0.766834\pi\) | |||||||
\(572\) | 1.98063 | + | 1.09820i | 0.0828144 | + | 0.0459180i | ||||
\(573\) | 12.0470 | − | 7.74211i | 0.503269 | − | 0.323431i | ||||
\(574\) | 1.96910 | + | 2.85572i | 0.0821887 | + | 0.119195i | ||||
\(575\) | 2.92513 | − | 3.80047i | 0.121986 | − | 0.158491i | ||||
\(576\) | 14.5492 | − | 7.58168i | 0.606215 | − | 0.315903i | ||||
\(577\) | −24.7937 | + | 15.9340i | −1.03218 | + | 0.663339i | −0.943040 | − | 0.332680i | \(-0.892047\pi\) |
−0.0891362 | + | 0.996019i | \(0.528411\pi\) | |||||||
\(578\) | 20.4534 | − | 10.1556i | 0.850749 | − | 0.422419i | ||||
\(579\) | 6.79132 | − | 14.8709i | 0.282238 | − | 0.618014i | ||||
\(580\) | −9.17623 | − | 0.715995i | −0.381022 | − | 0.0297301i | ||||
\(581\) | 6.66515 | − | 3.04387i | 0.276517 | − | 0.126281i | ||||
\(582\) | 55.1985 | + | 14.2789i | 2.28805 | + | 0.591880i | ||||
\(583\) | 0.734140 | − | 0.105553i | 0.0304050 | − | 0.00437158i | ||||
\(584\) | 3.15035 | + | 0.143137i | 0.130362 | + | 0.00592306i | ||||
\(585\) | 9.79252 | + | 8.48527i | 0.404871 | + | 0.350823i | ||||
\(586\) | −0.571896 | − | 17.6095i | −0.0236248 | − | 0.727441i | ||||
\(587\) | 2.53058 | + | 1.62631i | 0.104448 | + | 0.0671248i | 0.591822 | − | 0.806069i | \(-0.298409\pi\) |
−0.487374 | + | 0.873193i | \(0.662045\pi\) | |||||||
\(588\) | −13.8028 | − | 25.6714i | −0.569219 | − | 1.05867i | ||||
\(589\) | 0.975425 | + | 0.286411i | 0.0401917 | + | 0.0118013i | ||||
\(590\) | 8.46538 | − | 7.83058i | 0.348514 | − | 0.322380i | ||||
\(591\) | −27.8191 | + | 24.1054i | −1.14433 | + | 0.991563i | ||||
\(592\) | −12.4933 | + | 40.5977i | −0.513473 | + | 1.66856i | ||||
\(593\) | −42.2912 | + | 12.4178i | −1.73669 | + | 0.509938i | −0.988195 | − | 0.153201i | \(-0.951042\pi\) |
−0.748496 | + | 0.663139i | \(0.769224\pi\) | |||||||
\(594\) | 0.0942802 | + | 0.532410i | 0.00386836 | + | 0.0218451i | ||||
\(595\) | −0.656132 | − | 0.0943376i | −0.0268988 | − | 0.00386746i | ||||
\(596\) | −4.16757 | − | 19.7730i | −0.170710 | − | 0.809934i | ||||
\(597\) | 28.7473 | 1.17655 | ||||||||
\(598\) | −30.8744 | − | 29.7177i | −1.26255 | − | 1.21525i | ||||
\(599\) | 36.8386i | 1.50518i | 0.658488 | + | 0.752592i | \(0.271197\pi\) | ||||
−0.658488 | + | 0.752592i | \(0.728803\pi\) | |||||||
\(600\) | −4.37643 | + | 4.61009i | −0.178667 | + | 0.188206i | ||||
\(601\) | −1.82131 | + | 12.6675i | −0.0742929 | + | 0.516719i | 0.918362 | + | 0.395741i | \(0.129512\pi\) |
−0.992655 | + | 0.120978i | \(0.961397\pi\) | |||||||
\(602\) | 0.141012 | + | 0.796311i | 0.00574723 | + | 0.0324552i | ||||
\(603\) | −0.899230 | − | 3.06250i | −0.0366195 | − | 0.124714i | ||||
\(604\) | 0.233013 | + | 3.58362i | 0.00948118 | + | 0.145815i | ||||
\(605\) | −7.18243 | − | 8.28897i | −0.292007 | − | 0.336995i | ||||
\(606\) | −6.04883 | − | 6.53919i | −0.245717 | − | 0.265636i | ||||
\(607\) | 2.55304 | − | 8.69485i | 0.103625 | − | 0.352913i | −0.891315 | − | 0.453384i | \(-0.850217\pi\) |
0.994940 | + | 0.100471i | \(0.0320349\pi\) | |||||||
\(608\) | −0.707668 | + | 0.637811i | −0.0286997 | + | 0.0258666i | ||||
\(609\) | 4.01429 | − | 6.24635i | 0.162667 | − | 0.253115i | ||||
\(610\) | 0.407169 | + | 12.5373i | 0.0164858 | + | 0.507620i | ||||
\(611\) | 2.37153 | − | 2.73689i | 0.0959416 | − | 0.110723i | ||||
\(612\) | −3.01702 | − | 2.28912i | −0.121956 | − | 0.0925320i | ||||
\(613\) | −0.231293 | − | 1.60868i | −0.00934186 | − | 0.0649740i | 0.984617 | − | 0.174725i | \(-0.0559037\pi\) |
−0.993959 | + | 0.109751i | \(0.964995\pi\) | |||||||
\(614\) | −1.28015 | + | 4.94874i | −0.0516629 | + | 0.199715i | ||||
\(615\) | −3.18974 | − | 6.98455i | −0.128623 | − | 0.281644i | ||||
\(616\) | −0.182648 | − | 0.314757i | −0.00735908 | − | 0.0126819i | ||||
\(617\) | 30.0949 | + | 13.7439i | 1.21158 | + | 0.553309i | 0.915679 | − | 0.401911i | \(-0.131654\pi\) |
0.295898 | + | 0.955220i | \(0.404381\pi\) | |||||||
\(618\) | 16.5106 | − | 8.19795i | 0.664155 | − | 0.329770i | ||||
\(619\) | −5.30180 | − | 8.24976i | −0.213097 | − | 0.331586i | 0.718206 | − | 0.695831i | \(-0.244964\pi\) |
−0.931303 | + | 0.364245i | \(0.881327\pi\) | |||||||
\(620\) | 11.2841 | + | 4.29213i | 0.453182 | + | 0.172376i | ||||
\(621\) | 0.866309 | − | 10.1942i | 0.0347638 | − | 0.409081i | ||||
\(622\) | −21.2307 | + | 14.6392i | −0.851275 | + | 0.586979i | ||||
\(623\) | −2.74759 | − | 4.27534i | −0.110080 | − | 0.171288i | ||||
\(624\) | 36.6368 | + | 43.4034i | 1.46665 | + | 1.73753i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 11.1436 | − | 13.7372i | 0.445389 | − | 0.549050i | ||||
\(627\) | 0.0281783 | + | 0.0617019i | 0.00112533 | + | 0.00246414i | ||||
\(628\) | −20.4618 | + | 7.48141i | −0.816513 | + | 0.298541i | ||||
\(629\) | 9.70538 | − | 1.39542i | 0.386979 | − | 0.0556391i | ||||
\(630\) | −0.651128 | − | 1.97765i | −0.0259416 | − | 0.0787916i | ||||
\(631\) | −24.6394 | + | 28.4354i | −0.980879 | + | 1.13199i | 0.0103641 | + | 0.999946i | \(0.496701\pi\) |
−0.991243 | + | 0.132049i | \(0.957845\pi\) | |||||||
\(632\) | 16.0563 | + | 5.51770i | 0.638687 | + | 0.219482i | ||||
\(633\) | 17.9968 | + | 11.5658i | 0.715309 | + | 0.459701i | ||||
\(634\) | 0.505112 | − | 4.55942i | 0.0200606 | − | 0.181078i | ||||
\(635\) | −4.64445 | + | 15.8175i | −0.184309 | + | 0.627700i | ||||
\(636\) | 18.1504 | + | 4.07154i | 0.719712 | + | 0.161447i | ||||
\(637\) | 30.9644 | − | 26.8308i | 1.22685 | − | 1.06308i | ||||
\(638\) | −0.598425 | + | 1.00120i | −0.0236919 | + | 0.0396378i | ||||
\(639\) | 5.52658 | + | 18.8218i | 0.218628 | + | 0.744579i | ||||
\(640\) | −8.96779 | + | 6.89773i | −0.354483 | + | 0.272657i | ||||
\(641\) | −19.5377 | − | 2.80909i | −0.771691 | − | 0.110952i | −0.254789 | − | 0.966997i | \(-0.582006\pi\) |
−0.516902 | + | 0.856044i | \(0.672915\pi\) | |||||||
\(642\) | −4.80196 | + | 11.4877i | −0.189518 | + | 0.453384i | ||||
\(643\) | − | 8.65607i | − | 0.341362i | −0.985326 | − | 0.170681i | \(-0.945403\pi\) | ||
0.985326 | − | 0.170681i | \(-0.0545968\pi\) | |||||||
\(644\) | 1.80849 | + | 6.64419i | 0.0712646 | + | 0.261818i | ||||
\(645\) | − | 1.79012i | − | 0.0704860i | ||||||
\(646\) | 0.202901 | + | 0.0848142i | 0.00798302 | + | 0.00333697i | ||||
\(647\) | −47.9839 | − | 6.89904i | −1.88644 | − | 0.271229i | −0.900068 | − | 0.435750i | \(-0.856483\pi\) |
−0.986374 | + | 0.164520i | \(0.947392\pi\) | |||||||
\(648\) | −5.79279 | + | 30.4151i | −0.227562 | + | 1.19482i | ||||
\(649\) | −0.411717 | − | 1.40218i | −0.0161613 | − | 0.0550404i | ||||
\(650\) | −7.66982 | − | 4.58432i | −0.300835 | − | 0.179812i | ||||
\(651\) | −7.36047 | + | 6.37788i | −0.288479 | + | 0.249969i | ||||
\(652\) | 8.25905 | + | 1.85269i | 0.323450 | + | 0.0725568i | ||||
\(653\) | −8.27532 | + | 28.1832i | −0.323838 | + | 1.10289i | 0.623278 | + | 0.782001i | \(0.285801\pi\) |
−0.947116 | + | 0.320891i | \(0.896018\pi\) | |||||||
\(654\) | 33.0789 | + | 3.66463i | 1.29349 | + | 0.143298i | ||||
\(655\) | −4.69369 | − | 3.01645i | −0.183398 | − | 0.117862i | ||||
\(656\) | −3.68029 | − | 13.1615i | −0.143691 | − | 0.513872i | ||||
\(657\) | 1.49736 | − | 1.72804i | 0.0584175 | − | 0.0674174i | ||||
\(658\) | −0.552729 | + | 0.181982i | −0.0215476 | + | 0.00709440i | ||||
\(659\) | −13.7454 | + | 1.97629i | −0.535444 | + | 0.0769852i | −0.404732 | − | 0.914435i | \(-0.632635\pi\) |
−0.130711 | + | 0.991420i | \(0.541726\pi\) | |||||||
\(660\) | 0.276621 | + | 0.756563i | 0.0107675 | + | 0.0294492i | ||||
\(661\) | −13.9877 | − | 30.6287i | −0.544058 | − | 1.19132i | −0.959502 | − | 0.281702i | \(-0.909101\pi\) |
0.415444 | − | 0.909619i | \(-0.363626\pi\) | |||||||
\(662\) | −6.87434 | − | 5.57647i | −0.267179 | − | 0.216736i | ||||
\(663\) | 5.44663 | − | 11.9265i | 0.211530 | − | 0.463185i | ||||
\(664\) | −28.7315 | + | 2.80720i | −1.11500 | + | 0.108941i | ||||
\(665\) | 0.0653655 | + | 0.101711i | 0.00253477 | + | 0.00394417i | ||||
\(666\) | 17.4828 | + | 25.3546i | 0.677443 | + | 0.982472i | ||||
\(667\) | 15.8137 | − | 15.3962i | 0.612309 | − | 0.596143i | ||||
\(668\) | −19.0274 | − | 7.23742i | −0.736193 | − | 0.280024i | ||||
\(669\) | −14.5880 | − | 22.6993i | −0.564003 | − | 0.877606i | ||||
\(670\) | 0.978864 | + | 1.97143i | 0.0378168 | + | 0.0761628i | ||||
\(671\) | 1.44599 | + | 0.660363i | 0.0558219 | + | 0.0254930i | ||||
\(672\) | −1.47503 | − | 9.00689i | −0.0569005 | − | 0.347448i | ||||
\(673\) | −6.77535 | − | 14.8359i | −0.261171 | − | 0.571884i | 0.732935 | − | 0.680298i | \(-0.238150\pi\) |
−0.994106 | + | 0.108415i | \(0.965423\pi\) | |||||||
\(674\) | −9.04261 | − | 2.33917i | −0.348308 | − | 0.0901015i | ||||
\(675\) | −0.303601 | − | 2.11159i | −0.0116856 | − | 0.0812753i | ||||
\(676\) | −32.5446 | + | 42.8932i | −1.25171 | + | 1.64974i | ||||
\(677\) | 19.8781 | − | 22.9405i | 0.763976 | − | 0.881675i | −0.231869 | − | 0.972747i | \(-0.574484\pi\) |
0.995844 | + | 0.0910722i | \(0.0290294\pi\) | |||||||
\(678\) | −59.4871 | + | 1.93194i | −2.28459 | + | 0.0741957i | ||||
\(679\) | 6.96268 | − | 10.8341i | 0.267203 | − | 0.415776i | ||||
\(680\) | 2.32393 | + | 1.19162i | 0.0891186 | + | 0.0456964i | ||||
\(681\) | 6.14257 | − | 20.9197i | 0.235384 | − | 0.801643i | ||||
\(682\) | 1.12313 | − | 1.03891i | 0.0430069 | − | 0.0397819i | ||||
\(683\) | 0.0840754 | + | 0.0970282i | 0.00321706 | + | 0.00371268i | 0.757356 | − | 0.653002i | \(-0.226491\pi\) |
−0.754139 | + | 0.656715i | \(0.771945\pi\) | |||||||
\(684\) | 0.0448187 | + | 0.689288i | 0.00171369 | + | 0.0263556i | ||||
\(685\) | 0.268223 | + | 0.913482i | 0.0102483 | + | 0.0349024i | ||||
\(686\) | −13.4808 | + | 2.38721i | −0.514701 | + | 0.0911442i | ||||
\(687\) | 5.88135 | − | 40.9057i | 0.224388 | − | 1.56065i | ||||
\(688\) | 0.494201 | − | 3.14757i | 0.0188412 | − | 0.120000i | ||||
\(689\) | 26.1481i | 0.996165i | ||||||||
\(690\) | −1.37739 | − | 15.1802i | −0.0524364 | − | 0.577900i | ||||
\(691\) | −4.48496 | −0.170616 | −0.0853079 | − | 0.996355i | \(-0.527187\pi\) | ||||
−0.0853079 | + | 0.996355i | \(0.527187\pi\) | |||||||
\(692\) | −36.6837 | + | 7.73185i | −1.39451 | + | 0.293921i | ||||
\(693\) | −0.261170 | − | 0.0375506i | −0.00992103 | − | 0.00142643i | ||||
\(694\) | −22.2995 | + | 3.94883i | −0.846476 | + | 0.149896i | ||||
\(695\) | −20.6785 | + | 6.07175i | −0.784379 | + | 0.230315i | ||||
\(696\) | −22.9549 | + | 18.1337i | −0.870105 | + | 0.687356i | ||||
\(697\) | −2.38418 | + | 2.06590i | −0.0903072 | + | 0.0782516i | ||||
\(698\) | 15.1474 | + | 16.3754i | 0.573338 | + | 0.619816i | ||||
\(699\) | −41.3835 | − | 12.1513i | −1.56527 | − | 0.459604i | ||||
\(700\) | 0.679946 | + | 1.26461i | 0.0256995 | + | 0.0477978i | ||||
\(701\) | 41.7874 | + | 26.8552i | 1.57829 | + | 1.01431i | 0.976465 | + | 0.215677i | \(0.0691958\pi\) |
0.601825 | + | 0.798628i | \(0.294441\pi\) | |||||||
\(702\) | −19.0520 | + | 0.618744i | −0.719071 | + | 0.0233530i | ||||
\(703\) | −1.35157 | − | 1.17114i | −0.0509754 | − | 0.0441705i | ||||
\(704\) | 0.277519 | + | 1.40663i | 0.0104594 | + | 0.0530145i | ||||
\(705\) | 1.27501 | − | 0.183318i | 0.0480196 | − | 0.00690417i | ||||
\(706\) | −5.97950 | + | 23.1152i | −0.225042 | + | 0.869951i | ||||
\(707\) | −1.83026 | + | 0.835851i | −0.0688339 | + | 0.0314354i | ||||
\(708\) | 2.85112 | − | 36.5401i | 0.107152 | − | 1.37326i | ||||
\(709\) | 4.54749 | − | 9.95762i | 0.170785 | − | 0.373966i | −0.804814 | − | 0.593527i | \(-0.797735\pi\) |
0.975599 | + | 0.219561i | \(0.0704624\pi\) | |||||||
\(710\) | −6.01600 | − | 12.1162i | −0.225777 | − | 0.454713i | ||||
\(711\) | 10.3558 | − | 6.65526i | 0.388372 | − | 0.249592i | ||||
\(712\) | 4.76322 | + | 19.4478i | 0.178509 | + | 0.728836i | ||||
\(713\) | −25.5919 | + | 13.5330i | −0.958423 | + | 0.506815i | ||||
\(714\) | −1.73447 | + | 1.19596i | −0.0649108 | + | 0.0447579i | ||||
\(715\) | −0.952601 | + | 0.612199i | −0.0356252 | + | 0.0228950i | ||||
\(716\) | −2.42297 | − | 1.34346i | −0.0905507 | − | 0.0502076i | ||||
\(717\) | −10.2904 | − | 4.69948i | −0.384303 | − | 0.175505i | ||||
\(718\) | 21.8282 | + | 17.7070i | 0.814619 | + | 0.660819i | ||||
\(719\) | −20.8491 | + | 9.52149i | −0.777542 | + | 0.355091i | −0.764333 | − | 0.644821i | \(-0.776932\pi\) |
−0.0132085 | + | 0.999913i | \(0.504205\pi\) | |||||||
\(720\) | −0.106136 | + | 8.20236i | −0.00395544 | + | 0.305684i | ||||
\(721\) | −0.592572 | − | 4.12143i | −0.0220685 | − | 0.153490i | ||||
\(722\) | 8.39050 | + | 25.4842i | 0.312262 | + | 0.948425i | ||||
\(723\) | 11.1845 | + | 9.69144i | 0.415957 | + | 0.360429i | ||||
\(724\) | 11.7026 | − | 8.64292i | 0.434925 | − | 0.321211i | ||||
\(725\) | 2.48806 | − | 3.87150i | 0.0924043 | − | 0.143784i | ||||
\(726\) | −34.6471 | − | 3.83836i | −1.28588 | − | 0.142455i | ||||
\(727\) | −8.50035 | − | 2.49593i | −0.315260 | − | 0.0925688i | 0.120274 | − | 0.992741i | \(-0.461623\pi\) |
−0.435535 | + | 0.900172i | \(0.643441\pi\) | |||||||
\(728\) | 11.9001 | − | 4.79444i | 0.441048 | − | 0.177694i | ||||
\(729\) | 5.28203 | + | 6.09579i | 0.195631 | + | 0.225770i | ||||
\(730\) | −0.808976 | + | 1.35346i | −0.0299416 | + | 0.0500938i | ||||
\(731\) | −0.705687 | + | 0.207209i | −0.0261008 | + | 0.00766388i | ||||
\(732\) | 28.0081 | + | 28.3728i | 1.03521 | + | 1.04869i | ||||
\(733\) | 1.19865 | − | 8.33676i | 0.0442730 | − | 0.307925i | −0.955638 | − | 0.294545i | \(-0.904832\pi\) |
0.999910 | − | 0.0133799i | \(-0.00425909\pi\) | |||||||
\(734\) | −6.60022 | − | 2.75895i | −0.243619 | − | 0.101835i | ||||
\(735\) | 14.5734 | 0.537550 | ||||||||
\(736\) | 1.76894 | − | 27.0716i | 0.0652040 | − | 0.997872i | ||||
\(737\) | 0.278934 | 0.0102747 | ||||||||
\(738\) | −9.14230 | − | 3.82156i | −0.336533 | − | 0.140674i | ||||
\(739\) | 0.554734 | − | 3.85826i | 0.0204062 | − | 0.141928i | −0.977071 | − | 0.212913i | \(-0.931705\pi\) |
0.997477 | + | 0.0709844i | \(0.0226141\pi\) | |||||||
\(740\) | −14.9203 | − | 15.1146i | −0.548480 | − | 0.555623i | ||||
\(741\) | −2.29453 | + | 0.673734i | −0.0842915 | + | 0.0247502i | ||||
\(742\) | 2.15567 | − | 3.60655i | 0.0791371 | − | 0.132401i | ||||
\(743\) | −15.1611 | − | 17.4968i | −0.556207 | − | 0.641897i | 0.406111 | − | 0.913824i | \(-0.366885\pi\) |
−0.962318 | + | 0.271927i | \(0.912339\pi\) | |||||||
\(744\) | 35.5911 | − | 14.3393i | 1.30483 | − | 0.525703i | ||||
\(745\) | 9.69445 | + | 2.84655i | 0.355177 | + | 0.104289i | ||||
\(746\) | −35.6899 | − | 3.95388i | −1.30670 | − | 0.144762i | ||||
\(747\) | −11.3162 | + | 17.6083i | −0.414038 | + | 0.644255i | ||||
\(748\) | 0.266227 | − | 0.196620i | 0.00973422 | − | 0.00718915i | ||||
\(749\) | 2.12547 | + | 1.84173i | 0.0776631 | + | 0.0672954i | ||||
\(750\) | −0.993943 | − | 3.01887i | −0.0362936 | − | 0.110234i | ||||
\(751\) | 3.95497 | + | 27.5074i | 0.144319 | + | 1.00376i | 0.925308 | + | 0.379216i | \(0.123806\pi\) |
−0.780990 | + | 0.624544i | \(0.785285\pi\) | |||||||
\(752\) | 2.29246 | + | 0.0296636i | 0.0835973 | + | 0.00108172i | ||||
\(753\) | 29.9332 | − | 13.6700i | 1.09083 | − | 0.498164i | ||||
\(754\) | −31.9353 | − | 25.9059i | −1.16301 | − | 0.943437i | ||||
\(755\) | −1.63333 | − | 0.745917i | −0.0594430 | − | 0.0271467i | ||||
\(756\) | 2.67881 | + | 1.48532i | 0.0974273 | + | 0.0540205i | ||||
\(757\) | 32.5275 | − | 20.9041i | 1.18223 | − | 0.759774i | 0.206436 | − | 0.978460i | \(-0.433813\pi\) |
0.975795 | + | 0.218686i | \(0.0701771\pi\) | |||||||
\(758\) | −22.4909 | + | 15.5081i | −0.816906 | + | 0.563280i | ||||
\(759\) | −1.80065 | − | 0.699186i | −0.0653596 | − | 0.0253788i | ||||
\(760\) | −0.113317 | − | 0.462664i | −0.00411046 | − | 0.0167826i | ||||
\(761\) | −26.3198 | + | 16.9147i | −0.954093 | + | 0.613158i | −0.922357 | − | 0.386338i | \(-0.873740\pi\) |
−0.0317357 | + | 0.999496i | \(0.510103\pi\) | |||||||
\(762\) | 23.3013 | + | 46.9286i | 0.844116 | + | 1.70005i | ||||
\(763\) | 3.12289 | − | 6.83819i | 0.113056 | − | 0.247559i | ||||
\(764\) | −0.991355 | + | 12.7053i | −0.0358660 | + | 0.459660i | ||||
\(765\) | 1.72245 | − | 0.786618i | 0.0622754 | − | 0.0284402i | ||||
\(766\) | 8.64043 | − | 33.4016i | 0.312191 | − | 1.20685i | ||||
\(767\) | 50.9961 | − | 7.33214i | 1.84136 | − | 0.264748i | ||||
\(768\) | −6.03663 | + | 35.4479i | −0.217828 | + | 1.27912i | ||||
\(769\) | −3.83319 | − | 3.32148i | −0.138228 | − | 0.119775i | 0.583002 | − | 0.812470i | \(-0.301878\pi\) |
−0.721231 | + | 0.692695i | \(0.756423\pi\) | |||||||
\(770\) | 0.181860 | − | 0.00590620i | 0.00655378 | − | 0.000212845i | ||||
\(771\) | −57.8023 | − | 37.1473i | −2.08170 | − | 1.33783i | ||||
\(772\) | 6.88968 | + | 12.8139i | 0.247965 | + | 0.461183i | ||||
\(773\) | −29.9423 | − | 8.79186i | −1.07695 | − | 0.316221i | −0.305292 | − | 0.952259i | \(-0.598754\pi\) |
−0.771658 | + | 0.636037i | \(0.780572\pi\) | |||||||
\(774\) | −1.56868 | − | 1.69585i | −0.0563850 | − | 0.0609560i | ||||
\(775\) | −4.56203 | + | 3.95302i | −0.163873 | + | 0.141997i | ||||
\(776\) | −39.8148 | + | 31.4524i | −1.42927 | + | 1.12908i | ||||
\(777\) | 16.4391 | − | 4.82695i | 0.589749 | − | 0.173166i | ||||
\(778\) | 46.4586 | − | 8.22697i | 1.66562 | − | 0.294951i | ||||
\(779\) | 0.569538 | + | 0.0818872i | 0.0204058 | + | 0.00293391i | ||||
\(780\) | −27.7889 | + | 5.85708i | −0.995002 | + | 0.209717i | ||||
\(781\) | −1.71430 | −0.0613425 | ||||||||
\(782\) | −5.82477 | + | 2.30010i | −0.208293 | + | 0.0822516i | ||||
\(783\) | − | 9.81761i | − | 0.350853i | ||||||
\(784\) | 25.6245 | + | 4.02331i | 0.915161 | + | 0.143689i | ||||
\(785\) | 1.55028 | − | 10.7824i | 0.0553317 | − | 0.384841i | ||||
\(786\) | −17.4613 | + | 3.09207i | −0.622823 | + | 0.110291i | ||||
\(787\) | 5.71943 | + | 19.4786i | 0.203876 | + | 0.694337i | 0.996421 | + | 0.0845245i | \(0.0269371\pi\) |
−0.792546 | + | 0.609813i | \(0.791245\pi\) | |||||||
\(788\) | −2.12549 | − | 32.6889i | −0.0757175 | − | 1.16449i | ||||
\(789\) | 22.6727 | + | 26.1656i | 0.807168 | + | 0.931521i | ||||
\(790\) | −6.23172 | + | 5.76442i | −0.221715 | + | 0.205089i | ||||
\(791\) | −3.78760 | + | 12.8994i | −0.134671 | + | 0.458649i | ||||
\(792\) | 0.925028 | + | 0.474317i | 0.0328694 | + | 0.0168541i | ||||
\(793\) | −30.2990 | + | 47.1461i | −1.07595 | + | 1.67421i | ||||
\(794\) | 30.1604 | − | 0.979507i | 1.07035 | − | 0.0347614i | ||||
\(795\) | −6.09070 | + | 7.02904i | −0.216015 | + | 0.249294i | ||||
\(796\) | −15.4634 | + | 20.3805i | −0.548086 | + | 0.722368i | ||||
\(797\) | 0.908337 | + | 6.31762i | 0.0321750 | + | 0.223782i | 0.999564 | − | 0.0295118i | \(-0.00939525\pi\) |
−0.967389 | + | 0.253294i | \(0.918486\pi\) | |||||||
\(798\) | 0.372022 | + | 0.0962357i | 0.0131694 | + | 0.00340671i | ||||
\(799\) | −0.219850 | − | 0.481404i | −0.00777773 | − | 0.0170308i | ||||
\(800\) | −0.914227 | − | 5.58249i | −0.0323228 | − | 0.197371i | ||||
\(801\) | 13.2055 | + | 6.03077i | 0.466595 | + | 0.213087i | ||||
\(802\) | 13.1238 | + | 26.4312i | 0.463416 | + | 0.933318i | ||||
\(803\) | 0.108032 | + | 0.168101i | 0.00381237 | + | 0.00593217i | ||||
\(804\) | 6.53860 | + | 2.48707i | 0.230599 | + | 0.0877124i | ||||
\(805\) | −3.35419 | − | 0.776790i | −0.118220 | − | 0.0273783i | ||||
\(806\) | 30.6187 | + | 44.4053i | 1.07850 | + | 1.56411i | ||||
\(807\) | 18.9020 | + | 29.4121i | 0.665382 | + | 1.03535i | ||||
\(808\) | 7.88969 | − | 0.770860i | 0.277558 | − | 0.0271188i | ||||
\(809\) | 9.39922 | − | 20.5814i | 0.330459 | − | 0.723604i | −0.669354 | − | 0.742944i | \(-0.733429\pi\) |
0.999813 | + | 0.0193395i | \(0.00615634\pi\) | |||||||
\(810\) | −12.0226 | − | 9.75274i | −0.422431 | − | 0.342676i | ||||
\(811\) | −5.05490 | − | 11.0687i | −0.177502 | − | 0.388675i | 0.799879 | − | 0.600161i | \(-0.204897\pi\) |
−0.977381 | + | 0.211487i | \(0.932170\pi\) | |||||||
\(812\) | 2.26906 | + | 6.20590i | 0.0796283 | + | 0.217784i | ||||
\(813\) | 51.8119 | − | 7.44942i | 1.81712 | − | 0.261263i | ||||
\(814\) | −2.55646 | + | 0.841695i | −0.0896038 | + | 0.0295014i | ||||
\(815\) | −2.77147 | + | 3.19845i | −0.0970804 | + | 0.112037i | ||||
\(816\) | 7.99387 | − | 2.23528i | 0.279841 | − | 0.0782505i | ||||
\(817\) | 0.112850 | + | 0.0725245i | 0.00394813 | + | 0.00253731i | ||||
\(818\) | 19.7772 | + | 2.19101i | 0.691494 | + | 0.0766068i | ||||
\(819\) | 2.62073 | − | 8.92538i | 0.0915756 | − | 0.311878i | ||||
\(820\) | 6.66751 | + | 1.49567i | 0.232839 | + | 0.0522310i | ||||
\(821\) | −6.63990 | + | 5.75351i | −0.231734 | + | 0.200799i | −0.762986 | − | 0.646415i | \(-0.776267\pi\) |
0.531252 | + | 0.847214i | \(0.321722\pi\) | |||||||
\(822\) | 2.59729 | + | 1.55243i | 0.0905910 | + | 0.0541471i | ||||
\(823\) | 8.07179 | + | 27.4900i | 0.281365 | + | 0.958241i | 0.971989 | + | 0.235027i | \(0.0755178\pi\) |
−0.690624 | + | 0.723214i | \(0.742664\pi\) | |||||||
\(824\) | −3.06923 | + | 16.1150i | −0.106922 | + | 0.561393i | ||||
\(825\) | −0.398674 | − | 0.0573207i | −0.0138801 | − | 0.00199565i | ||||
\(826\) | −7.63824 | − | 3.19285i | −0.265769 | − | 0.111093i | ||||
\(827\) | 50.9764i | 1.77262i | 0.463088 | + | 0.886312i | \(0.346741\pi\) | ||||
−0.463088 | + | 0.886312i | \(0.653259\pi\) | |||||||
\(828\) | −14.6072 | − | 13.1737i | −0.507636 | − | 0.457819i | ||||
\(829\) | − | 7.35340i | − | 0.255394i | −0.991813 | − | 0.127697i | \(-0.959241\pi\) | ||
0.991813 | − | 0.127697i | \(-0.0407585\pi\) | |||||||
\(830\) | 5.56682 | − | 13.3175i | 0.193227 | − | 0.462256i | ||||
\(831\) | 23.5717 | + | 3.38910i | 0.817693 | + | 0.117567i | ||||
\(832\) | −50.4782 | + | 2.62680i | −1.75002 | + | 0.0910680i | ||||
\(833\) | −1.68689 | − | 5.74502i | −0.0584473 | − | 0.199053i | ||||
\(834\) | −35.1422 | + | 58.7948i | −1.21688 | + | 2.03590i | ||||
\(835\) | 7.69254 | − | 6.66562i | 0.266211 | − | 0.230673i | ||||
\(836\) | −0.0589011 | − | 0.0132128i | −0.00203714 | − | 0.000456975i | ||||
\(837\) | −3.62803 | + | 12.3559i | −0.125403 | + | 0.427084i | ||||
\(838\) | −4.25878 | + | 38.4420i | −0.147117 | + | 1.32796i | ||||
\(839\) | 31.3949 | + | 20.1763i | 1.08387 | + | 0.696562i | 0.955449 | − | 0.295157i | \(-0.0953721\pi\) |
0.128423 | + | 0.991719i | \(0.459008\pi\) | |||||||
\(840\) | 4.31572 | + | 1.48308i | 0.148906 | + | 0.0511711i | ||||
\(841\) | −5.12168 | + | 5.91073i | −0.176610 | + | 0.203818i | ||||
\(842\) | −11.0652 | − | 33.6079i | −0.381330 | − | 1.15820i | ||||
\(843\) | 63.9552 | − | 9.19537i | 2.20273 | − | 0.316705i | ||||
\(844\) | −17.8803 | + | 6.53754i | −0.615464 | + | 0.225031i | ||||
\(845\) | −11.1834 | − | 24.4883i | −0.384721 | − | 0.842422i | ||||
\(846\) | 1.04722 | − | 1.29095i | 0.0360042 | − | 0.0443838i | ||||
\(847\) | −3.27095 | + | 7.16237i | −0.112391 | + | 0.246102i | ||||
\(848\) | −12.6498 | + | 10.6777i | −0.434396 | + | 0.366674i | ||||
\(849\) | 37.3124 | + | 58.0592i | 1.28056 | + | 1.99259i | ||||
\(850\) | −1.07503 | + | 0.741262i | −0.0368731 | + | 0.0254251i | ||||
\(851\) | 50.8419 | − | 2.95332i | 1.74284 | − | 0.101239i | ||||
\(852\) | −40.1856 | − | 15.2853i | −1.37674 | − | 0.523667i | ||||
\(853\) | −0.732709 | − | 1.14012i | −0.0250875 | − | 0.0390369i | 0.828483 | − | 0.560014i | \(-0.189204\pi\) |
−0.853571 | + | 0.520977i | \(0.825568\pi\) | |||||||
\(854\) | 8.06582 | − | 4.00488i | 0.276007 | − | 0.137044i | ||||
\(855\) | −0.314161 | − | 0.143473i | −0.0107441 | − | 0.00490666i | ||||
\(856\) | −5.56124 | − | 9.58369i | −0.190079 | − | 0.327564i | ||||
\(857\) | 9.23741 | + | 20.2271i | 0.315544 | + | 0.690944i | 0.999246 | − | 0.0388163i | \(-0.0123587\pi\) |
−0.683703 | + | 0.729761i | \(0.739631\pi\) | |||||||
\(858\) | −0.901322 | + | 3.48427i | −0.0307706 | + | 0.118951i | ||||
\(859\) | −7.41435 | − | 51.5680i | −0.252974 | − | 1.75948i | −0.580147 | − | 0.814512i | \(-0.697005\pi\) |
0.327173 | − | 0.944964i | \(-0.393904\pi\) | |||||||
\(860\) | 1.26911 | + | 0.962921i | 0.0432764 | + | 0.0328353i | ||||
\(861\) | −3.60986 | + | 4.16600i | −0.123024 | + | 0.141977i | ||||
\(862\) | 1.37628 | + | 42.3776i | 0.0468763 | + | 1.44339i | ||||
\(863\) | 9.02337 | − | 14.0406i | 0.307159 | − | 0.477949i | −0.653017 | − | 0.757343i | \(-0.726497\pi\) |
0.960177 | + | 0.279394i | \(0.0901335\pi\) | |||||||
\(864\) | −8.07930 | − | 8.96420i | −0.274863 | − | 0.304968i | ||||
\(865\) | 5.28103 | − | 17.9856i | 0.179561 | − | 0.611527i | ||||
\(866\) | −11.7713 | − | 12.7256i | −0.400006 | − | 0.432433i | ||||
\(867\) | 23.7646 | + | 27.4258i | 0.807088 | + | 0.931430i | ||||
\(868\) | −0.562369 | − | 8.64894i | −0.0190881 | − | 0.293564i | ||||
\(869\) | 0.303082 | + | 1.03220i | 0.0102814 | + | 0.0350151i | ||||
\(870\) | −2.55044 | − | 14.4026i | −0.0864680 | − | 0.488294i | ||||
\(871\) | −1.39949 | + | 9.73366i | −0.0474199 | + | 0.329813i | ||||
\(872\) | −20.3915 | + | 21.4802i | −0.690542 | + | 0.727411i | ||||
\(873\) | 36.7887i | 1.24511i | ||||||||
\(874\) | 1.01277 | + | 0.528174i | 0.0342575 | + | 0.0178657i | ||||
\(875\) | −0.717907 | −0.0242697 | ||||||||
\(876\) | 1.03357 | + | 4.90379i | 0.0349212 | + | 0.165684i | ||||
\(877\) | 35.1933 | + | 5.06003i | 1.18839 | + | 0.170865i | 0.708015 | − | 0.706197i | \(-0.249591\pi\) |
0.480377 | + | 0.877062i | \(0.340500\pi\) | |||||||
\(878\) | 6.85266 | + | 38.6977i | 0.231266 | + | 1.30598i | ||||
\(879\) | 26.8646 | − | 7.88817i | 0.906122 | − | 0.266061i | ||||
\(880\) | −0.685165 | − | 0.210849i | −0.0230969 | − | 0.00710773i | ||||
\(881\) | 11.4607 | − | 9.93075i | 0.386120 | − | 0.334575i | −0.440073 | − | 0.897962i | \(-0.645047\pi\) |
0.826193 | + | 0.563387i | \(0.190502\pi\) | |||||||
\(882\) | 13.8060 | − | 12.7707i | 0.464871 | − | 0.430011i | ||||
\(883\) | −19.4427 | − | 5.70889i | −0.654299 | − | 0.192120i | −0.0622992 | − | 0.998058i | \(-0.519843\pi\) |
−0.592000 | + | 0.805938i | \(0.701661\pi\) | |||||||
\(884\) | 5.52552 | + | 10.2767i | 0.185843 | + | 0.345644i | ||||
\(885\) | 15.4165 | + | 9.90756i | 0.518219 | + | 0.333039i | ||||
\(886\) | 1.69805 | + | 52.2855i | 0.0570472 | + | 1.75656i | ||||
\(887\) | −9.93809 | − | 8.61141i | −0.333689 | − | 0.289143i | 0.471859 | − | 0.881674i | \(-0.343583\pi\) |
−0.805547 | + | 0.592531i | \(0.798129\pi\) | |||||||
\(888\) | −67.4318 | − | 3.06379i | −2.26286 | − | 0.102814i | ||||
\(889\) | 11.7145 | − | 1.68429i | 0.392891 | − | 0.0564891i | ||||
\(890\) | −9.69226 | − | 2.50722i | −0.324885 | − | 0.0840423i | ||||
\(891\) | −1.78456 | + | 0.814979i | −0.0597849 | + | 0.0273028i | ||||
\(892\) | 23.9397 | + | 1.86795i | 0.801561 | + | 0.0625435i | ||||
\(893\) | −0.0400988 | + | 0.0878041i | −0.00134185 | + | 0.00293825i | ||||
\(894\) | 28.7622 | − | 14.2812i | 0.961952 | − | 0.477634i | ||||
\(895\) | 1.16535 | − | 0.748924i | 0.0389533 | − | 0.0250338i | ||||
\(896\) | 7.17889 | + | 3.79915i | 0.239830 | + | 0.126921i | ||||
\(897\) | 33.4332 | − | 59.3275i | 1.11630 | − | 1.98089i | ||||
\(898\) | −11.1858 | − | 16.2223i | −0.373273 | − | 0.541345i | ||||
\(899\) | −23.3701 | + | 15.0190i | −0.779435 | + | 0.500913i | ||||
\(900\) | −3.58703 | − | 1.98890i | −0.119568 | − | 0.0662966i | ||||
\(901\) | 3.47593 | + | 1.58741i | 0.115800 | + | 0.0528842i | ||||
\(902\) | 0.545534 | − | 0.672503i | 0.0181643 | − | 0.0223919i | ||||
\(903\) | −1.16901 | + | 0.533867i | −0.0389021 | + | 0.0177660i | ||||
\(904\) | 30.6289 | − | 43.2128i | 1.01870 | − | 1.43724i | ||||
\(905\) | 1.03522 | + | 7.20009i | 0.0344117 | + | 0.239339i | ||||
\(906\) | −5.42067 | + | 1.78472i | −0.180090 | + | 0.0592933i | ||||
\(907\) | −10.6227 | − | 9.20466i | −0.352722 | − | 0.305636i | 0.460419 | − | 0.887702i | \(-0.347699\pi\) |
−0.813142 | + | 0.582066i | \(0.802245\pi\) | |||||||
\(908\) | 11.5269 | + | 15.6076i | 0.382535 | + | 0.517958i | ||||
\(909\) | 3.10744 | − | 4.83527i | 0.103067 | − | 0.160376i | ||||
\(910\) | −0.706341 | + | 6.37581i | −0.0234150 | + | 0.211356i | ||||
\(911\) | −41.7918 | − | 12.2712i | −1.38462 | − | 0.406562i | −0.497247 | − | 0.867609i | \(-0.665656\pi\) |
−0.887376 | + | 0.461047i | \(0.847474\pi\) | |||||||
\(912\) | −1.26291 | − | 0.834910i | −0.0418193 | − | 0.0276466i | ||||
\(913\) | −1.19786 | − | 1.38241i | −0.0396435 | − | 0.0457511i | ||||
\(914\) | −28.0406 | − | 16.7601i | −0.927500 | − | 0.554376i | ||||
\(915\) | −19.1266 | + | 5.61608i | −0.632306 | + | 0.185662i | ||||
\(916\) | 25.8366 | + | 26.1731i | 0.853666 | + | 0.864783i | ||||
\(917\) | −0.570041 | + | 3.96472i | −0.0188244 | + | 0.130927i | ||||
\(918\) | −1.07436 | + | 2.57019i | −0.0354592 | + | 0.0848290i | ||||
\(919\) | 31.7866 | 1.04854 | 0.524271 | − | 0.851551i | \(-0.324338\pi\) | ||||
0.524271 | + | 0.851551i | \(0.324338\pi\) | |||||||
\(920\) | 11.5030 | + | 7.18903i | 0.379241 | + | 0.237015i | ||||
\(921\) | −8.12313 | −0.267666 | ||||||||
\(922\) | 7.20978 | − | 17.2479i | 0.237441 | − | 0.568030i | ||||
\(923\) | 8.60113 | − | 59.8222i | 0.283110 | − | 1.96907i | ||||
\(924\) | 0.411563 | − | 0.406272i | 0.0135394 | − | 0.0133654i | ||||
\(925\) | 10.1890 | − | 2.99176i | 0.335012 | − | 0.0983684i | ||||
\(926\) | 32.1928 | + | 19.2419i | 1.05792 | + | 0.632329i | ||||
\(927\) | 7.78910 | + | 8.98910i | 0.255828 | + | 0.295241i | ||||
\(928\) | −0.508299 | − | 26.0282i | −0.0166857 | − | 0.854419i | ||||
\(929\) | 20.4343 | + | 6.00005i | 0.670427 | + | 0.196855i | 0.599193 | − | 0.800605i | \(-0.295488\pi\) |
0.0712338 | + | 0.997460i | \(0.477306\pi\) | |||||||
\(930\) | −2.11253 | + | 19.0689i | −0.0692727 | + | 0.625293i | ||||
\(931\) | −0.590424 | + | 0.918718i | −0.0193504 | + | 0.0301098i | ||||
\(932\) | 30.8752 | − | 22.8027i | 1.01135 | − | 0.746928i | ||||
\(933\) | −30.9720 | − | 26.8374i | −1.01398 | − | 0.878616i | ||||
\(934\) | 47.0836 | − | 15.5019i | 1.54062 | − | 0.507238i | ||||
\(935\) | 0.0235505 | + | 0.163797i | 0.000770182 | + | 0.00535673i | ||||
\(936\) | −21.1929 | + | 29.9000i | −0.692711 | + | 0.977311i | ||||
\(937\) | −4.69791 | + | 2.14547i | −0.153474 | + | 0.0700893i | −0.490671 | − | 0.871345i | \(-0.663248\pi\) |
0.337197 | + | 0.941434i | \(0.390521\pi\) | |||||||
\(938\) | 0.995478 | − | 1.22717i | 0.0325035 | − | 0.0400684i | ||||
\(939\) | 25.5697 | + | 11.6773i | 0.834437 | + | 0.381075i | ||||
\(940\) | −0.555872 | + | 1.00253i | −0.0181306 | + | 0.0326989i | ||||
\(941\) | −11.7352 | + | 7.54173i | −0.382555 | + | 0.245853i | −0.717758 | − | 0.696293i | \(-0.754832\pi\) |
0.335203 | + | 0.942146i | \(0.391195\pi\) | |||||||
\(942\) | −19.6536 | − | 28.5030i | −0.640350 | − | 0.928677i | ||||
\(943\) | −13.2474 | + | 9.64310i | −0.431395 | + | 0.314022i | ||||
\(944\) | 24.3716 | + | 21.6765i | 0.793228 | + | 0.705510i | ||||
\(945\) | −1.28839 | + | 0.828001i | −0.0419115 | + | 0.0269349i | ||||
\(946\) | 0.180821 | − | 0.0897824i | 0.00587901 | − | 0.00291908i | ||||
\(947\) | 11.9554 | − | 26.1787i | 0.388499 | − | 0.850694i | −0.609809 | − | 0.792548i | \(-0.708754\pi\) |
0.998308 | − | 0.0581460i | \(-0.0185189\pi\) | |||||||
\(948\) | −2.09883 | + | 26.8987i | −0.0681667 | + | 0.873629i | ||||
\(949\) | −6.40809 | + | 2.92648i | −0.208015 | + | 0.0949974i | ||||
\(950\) | 0.230580 | + | 0.0596471i | 0.00748100 | + | 0.00193521i | ||||
\(951\) | 7.21570 | − | 1.03746i | 0.233985 | − | 0.0336420i | ||||
\(952\) | 0.0850992 | − | 1.87297i | 0.00275808 | − | 0.0607035i | ||||
\(953\) | −1.87318 | − | 1.62312i | −0.0606782 | − | 0.0525779i | 0.623994 | − | 0.781429i | \(-0.285509\pi\) |
−0.684672 | + | 0.728851i | \(0.740055\pi\) | |||||||
\(954\) | 0.389593 | + | 11.9961i | 0.0126135 | + | 0.388389i | ||||
\(955\) | −5.36042 | − | 3.44493i | −0.173459 | − | 0.111475i | ||||
\(956\) | 8.86700 | − | 4.76754i | 0.286779 | − | 0.154193i | ||||
\(957\) | −1.77851 | − | 0.522217i | −0.0574910 | − | 0.0168809i | ||||
\(958\) | 39.1316 | − | 36.1972i | 1.26428 | − | 1.16948i | ||||
\(959\) | 0.516541 | − | 0.447585i | 0.0166800 | − | 0.0144533i | ||||
\(960\) | −14.1812 | − | 11.0518i | −0.457697 | − | 0.356695i | ||||
\(961\) | 5.21824 | − | 1.53221i | 0.168330 | − | 0.0494263i | ||||
\(962\) | −16.5453 | − | 93.4331i | −0.533442 | − | 3.01240i | ||||
\(963\) | −7.95209 | − | 1.14334i | −0.256253 | − | 0.0368436i | ||||
\(964\) | −12.8870 | + | 2.71620i | −0.415063 | + | 0.0874830i | ||||
\(965\) | −7.27434 | −0.234169 | ||||||||
\(966\) | −9.50236 | + | 5.42666i | −0.305733 | + | 0.174600i | ||||
\(967\) | 24.3653i | 0.783536i | 0.920064 | + | 0.391768i | \(0.128136\pi\) | ||||
−0.920064 | + | 0.391768i | \(0.871864\pi\) | |||||||
\(968\) | 21.3582 | − | 22.4985i | 0.686478 | − | 0.723130i | ||||
\(969\) | −0.0497355 | + | 0.345918i | −0.00159773 | + | 0.0111125i | ||||
\(970\) | −4.42368 | − | 24.9810i | −0.142036 | − | 0.802091i | ||||
\(971\) | 14.1018 | + | 48.0264i | 0.452549 | + | 1.54124i | 0.797913 | + | 0.602772i | \(0.205937\pi\) |
−0.345364 | + | 0.938469i | \(0.612245\pi\) | |||||||
\(972\) | −36.3263 | + | 2.36200i | −1.16517 | + | 0.0757612i | ||||
\(973\) | 10.1320 | + | 11.6929i | 0.324816 | + | 0.374858i | ||||
\(974\) | 25.3683 | + | 27.4248i | 0.812852 | + | 0.878747i | ||||
\(975\) | 4.00052 | − | 13.6245i | 0.128119 | − | 0.436334i | ||||
\(976\) | −35.1808 | + | 4.59446i | −1.12611 | + | 0.147065i | ||||
\(977\) | 10.4839 | − | 16.3132i | 0.335409 | − | 0.521907i | −0.632052 | − | 0.774926i | \(-0.717787\pi\) |
0.967461 | + | 0.253019i | \(0.0814235\pi\) | |||||||
\(978\) | 0.436613 | + | 13.4439i | 0.0139613 | + | 0.429889i | ||||
\(979\) | −0.830820 | + | 0.958818i | −0.0265531 | + | 0.0306439i | ||||
\(980\) | −7.83917 | + | 10.3319i | −0.250413 | + | 0.330040i | ||||
\(981\) | 3.05613 | + | 21.2559i | 0.0975748 | + | 0.678648i | ||||
\(982\) | −1.54749 | + | 5.98219i | −0.0493825 | + | 0.190899i | ||||
\(983\) | 10.4649 | + | 22.9148i | 0.333777 | + | 0.730870i | 0.999888 | − | 0.0149832i | \(-0.00476948\pi\) |
−0.666111 | + | 0.745853i | \(0.732042\pi\) | |||||||
\(984\) | 18.7844 | − | 10.9002i | 0.598824 | − | 0.347486i | ||||
\(985\) | 14.8988 | + | 6.80407i | 0.474717 | + | 0.216796i | ||||
\(986\) | −5.38246 | + | 2.67253i | −0.171413 | + | 0.0851107i | ||||
\(987\) | −0.499958 | − | 0.777949i | −0.0159138 | − | 0.0247624i | ||||
\(988\) | 0.756597 | − | 1.98912i | 0.0240706 | − | 0.0632823i | ||||
\(989\) | −3.74327 | + | 0.762006i | −0.119029 | + | 0.0242304i | ||||
\(990\) | −0.427908 | + | 0.295055i | −0.0135998 | + | 0.00937747i | ||||
\(991\) | 18.3489 | + | 28.5514i | 0.582871 | + | 0.906966i | 0.999998 | − | 0.00188260i | \(-0.000599250\pi\) |
−0.417127 | + | 0.908848i | \(0.636963\pi\) | |||||||
\(992\) | −8.97883 | + | 32.9456i | −0.285078 | + | 1.04602i | ||||
\(993\) | 5.84353 | − | 12.7955i | 0.185439 | − | 0.406054i | ||||
\(994\) | −6.11811 | + | 7.54205i | −0.194055 | + | 0.239219i | ||||
\(995\) | −5.31375 | − | 11.6355i | −0.168457 | − | 0.368870i | ||||
\(996\) | −15.7536 | − | 43.0862i | −0.499171 | − | 1.36524i | ||||
\(997\) | 41.8667 | − | 6.01952i | 1.32593 | − | 0.190640i | 0.557289 | − | 0.830319i | \(-0.311842\pi\) |
0.768642 | + | 0.639679i | \(0.220933\pi\) | |||||||
\(998\) | 18.6805 | + | 56.7378i | 0.591321 | + | 1.79600i | ||||
\(999\) | 14.8351 | − | 17.1207i | 0.469363 | − | 0.541674i |
(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 | 920.2.bb.a.11.7 | ✓ | 480 | |
8.3 | odd | 2 | 920.2.bb.b.11.25 | yes | 480 | ||
23.21 | odd | 22 | 920.2.bb.b.251.25 | yes | 480 | ||
184.67 | even | 22 | inner | 920.2.bb.a.251.7 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bb.a.11.7 | ✓ | 480 | 1.1 | even | 1 | trivial | |
920.2.bb.a.251.7 | yes | 480 | 184.67 | even | 22 | inner | |
920.2.bb.b.11.25 | yes | 480 | 8.3 | odd | 2 | ||
920.2.bb.b.251.25 | yes | 480 | 23.21 | odd | 22 |