Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(13,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.t (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 13.11 | ||
Character | \(\chi\) | \(=\) | 216.13 |
Dual form | 216.2.t.a.133.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.691259 | + | 1.23376i | −0.488794 | + | 0.872399i | ||||
\(3\) | 1.38208 | + | 1.04396i | 0.797943 | + | 0.602733i | ||||
\(4\) | −1.04432 | − | 1.70569i | −0.522161 | − | 0.852847i | ||||
\(5\) | 1.90914 | − | 2.27523i | 0.853794 | − | 1.01751i | −0.145808 | − | 0.989313i | \(-0.546578\pi\) |
0.999602 | − | 0.0281995i | \(-0.00897737\pi\) | |||||||
\(6\) | −2.24337 | + | 0.983500i | −0.915854 | + | 0.401512i | ||||
\(7\) | 1.28267 | + | 0.466852i | 0.484802 | + | 0.176454i | 0.572846 | − | 0.819663i | \(-0.305839\pi\) |
−0.0880438 | + | 0.996117i | \(0.528062\pi\) | |||||||
\(8\) | 2.82631 | − | 0.109365i | 0.999252 | − | 0.0386662i | ||||
\(9\) | 0.820275 | + | 2.88568i | 0.273425 | + | 0.961893i | ||||
\(10\) | 1.48737 | + | 3.92819i | 0.470348 | + | 1.24220i | ||||
\(11\) | −2.78354 | − | 3.31729i | −0.839269 | − | 1.00020i | −0.999913 | − | 0.0131894i | \(-0.995802\pi\) |
0.160644 | − | 0.987012i | \(-0.448643\pi\) | |||||||
\(12\) | 0.337351 | − | 3.44764i | 0.0973848 | − | 0.995247i | ||||
\(13\) | 4.65386 | + | 0.820601i | 1.29075 | + | 0.227594i | 0.776538 | − | 0.630070i | \(-0.216974\pi\) |
0.514211 | + | 0.857664i | \(0.328085\pi\) | |||||||
\(14\) | −1.46264 | + | 1.25978i | −0.390906 | + | 0.336692i | ||||
\(15\) | 5.01384 | − | 1.15146i | 1.29457 | − | 0.297306i | ||||
\(16\) | −1.81878 | + | 3.56259i | −0.454696 | + | 0.890647i | ||||
\(17\) | 0.356888 | − | 0.618149i | 0.0865581 | − | 0.149923i | −0.819496 | − | 0.573085i | \(-0.805746\pi\) |
0.906054 | + | 0.423162i | \(0.139080\pi\) | |||||||
\(18\) | −4.12726 | − | 0.982730i | −0.972804 | − | 0.231632i | ||||
\(19\) | −6.43384 | + | 3.71458i | −1.47602 | + | 0.852183i | −0.999634 | − | 0.0270519i | \(-0.991388\pi\) |
−0.476389 | + | 0.879234i | \(0.658055\pi\) | |||||||
\(20\) | −5.87460 | − | 0.880343i | −1.31360 | − | 0.196851i | ||||
\(21\) | 1.28537 | + | 1.98428i | 0.280490 | + | 0.433006i | ||||
\(22\) | 6.01689 | − | 1.14111i | 1.28280 | − | 0.243285i | ||||
\(23\) | −4.17513 | + | 1.51962i | −0.870574 | + | 0.316863i | −0.738400 | − | 0.674363i | \(-0.764418\pi\) |
−0.132175 | + | 0.991226i | \(0.542196\pi\) | |||||||
\(24\) | 4.02035 | + | 2.79942i | 0.820651 | + | 0.571429i | ||||
\(25\) | −0.663593 | − | 3.76342i | −0.132719 | − | 0.752685i | ||||
\(26\) | −4.22945 | + | 5.17449i | −0.829463 | + | 1.01480i | ||||
\(27\) | −1.87886 | + | 4.84457i | −0.361588 | + | 0.932338i | ||||
\(28\) | −0.543209 | − | 2.67538i | −0.102657 | − | 0.505599i | ||||
\(29\) | −6.69820 | + | 1.18107i | −1.24382 | + | 0.219320i | −0.756554 | − | 0.653931i | \(-0.773118\pi\) |
−0.487270 | + | 0.873251i | \(0.662007\pi\) | |||||||
\(30\) | −2.04523 | + | 6.98183i | −0.373407 | + | 1.27470i | ||||
\(31\) | 5.02097 | − | 1.82748i | 0.901793 | − | 0.328226i | 0.150822 | − | 0.988561i | \(-0.451808\pi\) |
0.750971 | + | 0.660335i | \(0.229586\pi\) | |||||||
\(32\) | −3.13812 | − | 4.70661i | −0.554747 | − | 0.832019i | ||||
\(33\) | −0.383930 | − | 7.49067i | −0.0668336 | − | 1.30396i | ||||
\(34\) | 0.515944 | + | 0.867615i | 0.0884837 | + | 0.148795i | ||||
\(35\) | 3.51099 | − | 2.02707i | 0.593465 | − | 0.342637i | ||||
\(36\) | 4.06546 | − | 4.41272i | 0.677576 | − | 0.735453i | ||||
\(37\) | 0.547039 | + | 0.315833i | 0.0899327 | + | 0.0519226i | 0.544292 | − | 0.838896i | \(-0.316798\pi\) |
−0.454359 | + | 0.890819i | \(0.650132\pi\) | |||||||
\(38\) | −0.135445 | − | 10.5055i | −0.0219720 | − | 1.70422i | ||||
\(39\) | 5.57532 | + | 5.99260i | 0.892765 | + | 0.959584i | ||||
\(40\) | 5.14700 | − | 6.63929i | 0.813812 | − | 1.04976i | ||||
\(41\) | 0.356345 | − | 2.02093i | 0.0556517 | − | 0.315617i | −0.944256 | − | 0.329213i | \(-0.893217\pi\) |
0.999908 | + | 0.0135959i | \(0.00432785\pi\) | |||||||
\(42\) | −3.33665 | + | 0.214178i | −0.514856 | + | 0.0330483i | ||||
\(43\) | 2.43534 | + | 2.90233i | 0.371386 | + | 0.442601i | 0.919076 | − | 0.394081i | \(-0.128937\pi\) |
−0.547690 | + | 0.836682i | \(0.684493\pi\) | |||||||
\(44\) | −2.75138 | + | 8.21219i | −0.414786 | + | 1.23803i | ||||
\(45\) | 8.13160 | + | 3.64286i | 1.21219 | + | 0.543046i | ||||
\(46\) | 1.01125 | − | 6.20155i | 0.149100 | − | 0.914369i | ||||
\(47\) | 5.10473 | + | 1.85797i | 0.744601 | + | 0.271013i | 0.686332 | − | 0.727288i | \(-0.259220\pi\) |
0.0582692 | + | 0.998301i | \(0.481442\pi\) | |||||||
\(48\) | −6.23292 | + | 3.02502i | −0.899644 | + | 0.436625i | ||||
\(49\) | −3.93503 | − | 3.30188i | −0.562147 | − | 0.471697i | ||||
\(50\) | 5.10187 | + | 1.78279i | 0.721514 | + | 0.252124i | ||||
\(51\) | 1.13857 | − | 0.481751i | 0.159432 | − | 0.0674586i | ||||
\(52\) | −3.46043 | − | 8.79504i | −0.479876 | − | 1.21965i | ||||
\(53\) | − | 11.4745i | − | 1.57614i | −0.615583 | − | 0.788072i | \(-0.711079\pi\) | ||
0.615583 | − | 0.788072i | \(-0.288921\pi\) | |||||||
\(54\) | −4.67825 | − | 5.66692i | −0.636629 | − | 0.771170i | ||||
\(55\) | −12.8618 | −1.73428 | ||||||||
\(56\) | 3.67627 | + | 1.17919i | 0.491262 | + | 0.157576i | ||||
\(57\) | −12.7699 | − | 1.58287i | −1.69142 | − | 0.209656i | ||||
\(58\) | 3.17303 | − | 9.08039i | 0.416639 | − | 1.19231i | ||||
\(59\) | −0.803086 | + | 0.957081i | −0.104553 | + | 0.124601i | −0.815783 | − | 0.578358i | \(-0.803694\pi\) |
0.711230 | + | 0.702959i | \(0.248138\pi\) | |||||||
\(60\) | −7.20010 | − | 7.34958i | −0.929529 | − | 0.948826i | ||||
\(61\) | 0.216792 | − | 0.595632i | 0.0277574 | − | 0.0762629i | −0.925040 | − | 0.379870i | \(-0.875969\pi\) |
0.952797 | + | 0.303607i | \(0.0981910\pi\) | |||||||
\(62\) | −1.21612 | + | 7.45793i | −0.154447 | + | 0.947158i | ||||
\(63\) | −0.295047 | + | 4.08431i | −0.0371724 | + | 0.514575i | ||||
\(64\) | 7.97608 | − | 0.618197i | 0.997010 | − | 0.0772747i | ||||
\(65\) | 10.7519 | − | 9.02195i | 1.33361 | − | 1.11903i | ||||
\(66\) | 9.50708 | + | 4.70432i | 1.17024 | + | 0.579062i | ||||
\(67\) | −14.0227 | − | 2.47258i | −1.71314 | − | 0.302074i | −0.770889 | − | 0.636969i | \(-0.780188\pi\) |
−0.942255 | + | 0.334896i | \(0.891299\pi\) | |||||||
\(68\) | −1.42708 | + | 0.0368039i | −0.173059 | + | 0.00446312i | ||||
\(69\) | −7.35678 | − | 2.25845i | −0.885652 | − | 0.271885i | ||||
\(70\) | 0.0739130 | + | 5.73294i | 0.00883429 | + | 0.685217i | ||||
\(71\) | −0.414463 | + | 0.717870i | −0.0491877 | + | 0.0851955i | −0.889571 | − | 0.456797i | \(-0.848997\pi\) |
0.840383 | + | 0.541993i | \(0.182330\pi\) | |||||||
\(72\) | 2.63395 | + | 8.06612i | 0.310413 | + | 0.950602i | ||||
\(73\) | 7.29258 | + | 12.6311i | 0.853532 | + | 1.47836i | 0.878000 | + | 0.478660i | \(0.158877\pi\) |
−0.0244686 | + | 0.999701i | \(0.507789\pi\) | |||||||
\(74\) | −0.767808 | + | 0.456592i | −0.0892558 | + | 0.0530777i | ||||
\(75\) | 3.01174 | − | 5.89411i | 0.347766 | − | 0.680593i | ||||
\(76\) | 13.0549 | + | 7.09494i | 1.49750 | + | 0.813846i | ||||
\(77\) | −2.02167 | − | 5.55448i | −0.230390 | − | 0.632992i | ||||
\(78\) | −11.2474 | + | 2.73616i | −1.27352 | + | 0.309809i | ||||
\(79\) | −1.22756 | − | 6.96183i | −0.138111 | − | 0.783267i | −0.972643 | − | 0.232306i | \(-0.925373\pi\) |
0.834532 | − | 0.550960i | \(-0.185738\pi\) | |||||||
\(80\) | 4.63338 | + | 10.9396i | 0.518027 | + | 1.22309i | ||||
\(81\) | −7.65430 | + | 4.73410i | −0.850477 | + | 0.526012i | ||||
\(82\) | 2.24702 | + | 1.83663i | 0.248141 | + | 0.202822i | ||||
\(83\) | 1.29008 | − | 0.227475i | 0.141604 | − | 0.0249686i | −0.102397 | − | 0.994744i | \(-0.532651\pi\) |
0.244001 | + | 0.969775i | \(0.421540\pi\) | |||||||
\(84\) | 2.04225 | − | 4.26467i | 0.222827 | − | 0.465314i | ||||
\(85\) | −0.725078 | − | 1.99214i | −0.0786458 | − | 0.216077i | ||||
\(86\) | −5.26422 | + | 0.998364i | −0.567656 | + | 0.107656i | ||||
\(87\) | −10.4904 | − | 5.36035i | −1.12469 | − | 0.574690i | ||||
\(88\) | −8.22995 | − | 9.07129i | −0.877315 | − | 0.967002i | ||||
\(89\) | 2.66374 | + | 4.61373i | 0.282356 | + | 0.489054i | 0.971964 | − | 0.235128i | \(-0.0755508\pi\) |
−0.689609 | + | 0.724182i | \(0.742218\pi\) | |||||||
\(90\) | −10.1155 | + | 7.51427i | −1.06626 | + | 0.792074i | ||||
\(91\) | 5.58625 | + | 3.22522i | 0.585598 | + | 0.338095i | ||||
\(92\) | 6.95219 | + | 5.53452i | 0.724816 | + | 0.577013i | ||||
\(93\) | 8.84720 | + | 2.71599i | 0.917411 | + | 0.281635i | ||||
\(94\) | −5.82098 | + | 5.01367i | −0.600388 | + | 0.517120i | ||||
\(95\) | −3.83160 | + | 21.7301i | −0.393114 | + | 2.22946i | ||||
\(96\) | 0.576410 | − | 9.78099i | 0.0588296 | − | 0.998268i | ||||
\(97\) | −1.52072 | + | 1.27604i | −0.154406 | + | 0.129562i | −0.716718 | − | 0.697363i | \(-0.754356\pi\) |
0.562312 | + | 0.826925i | \(0.309912\pi\) | |||||||
\(98\) | 6.79385 | − | 2.57242i | 0.686283 | − | 0.259854i | ||||
\(99\) | 7.28938 | − | 10.7535i | 0.732610 | − | 1.08077i | ||||
\(100\) | −5.72624 | + | 5.06211i | −0.572624 | + | 0.506211i | ||||
\(101\) | 1.46496 | − | 4.02494i | 0.145769 | − | 0.400497i | −0.845224 | − | 0.534412i | \(-0.820533\pi\) |
0.990993 | + | 0.133916i | \(0.0427552\pi\) | |||||||
\(102\) | −0.192685 | + | 1.73774i | −0.0190786 | + | 0.172062i | ||||
\(103\) | −8.54275 | − | 7.16822i | −0.841743 | − | 0.706306i | 0.116212 | − | 0.993224i | \(-0.462925\pi\) |
−0.957955 | + | 0.286919i | \(0.907369\pi\) | |||||||
\(104\) | 13.2430 | + | 1.81031i | 1.29858 | + | 0.177515i | ||||
\(105\) | 6.96864 | + | 0.863780i | 0.680070 | + | 0.0842963i | ||||
\(106\) | 14.1568 | + | 7.93185i | 1.37503 | + | 0.770410i | ||||
\(107\) | 11.6290i | 1.12422i | 0.827064 | + | 0.562108i | \(0.190009\pi\) | ||||
−0.827064 | + | 0.562108i | \(0.809991\pi\) | |||||||
\(108\) | 10.2255 | − | 1.85452i | 0.983949 | − | 0.178452i | ||||
\(109\) | 2.12823i | 0.203848i | 0.994792 | + | 0.101924i | \(0.0324998\pi\) | ||||
−0.994792 | + | 0.101924i | \(0.967500\pi\) | |||||||
\(110\) | 8.89082 | − | 15.8683i | 0.847706 | − | 1.51299i | ||||
\(111\) | 0.426332 | + | 1.00760i | 0.0404656 | + | 0.0956367i | ||||
\(112\) | −3.99609 | + | 3.72051i | −0.377595 | + | 0.351555i | ||||
\(113\) | −13.3788 | − | 11.2261i | −1.25857 | − | 1.05607i | −0.995833 | − | 0.0912002i | \(-0.970930\pi\) |
−0.262739 | − | 0.964867i | \(-0.584626\pi\) | |||||||
\(114\) | 10.7802 | − | 14.6609i | 1.00966 | − | 1.37312i | ||||
\(115\) | −4.51343 | + | 12.4005i | −0.420879 | + | 1.15636i | ||||
\(116\) | 9.00962 | + | 10.1917i | 0.836522 | + | 0.946271i | ||||
\(117\) | 1.44946 | + | 14.1027i | 0.134002 | + | 1.30379i | ||||
\(118\) | −0.625666 | − | 1.65241i | −0.0575973 | − | 0.152116i | ||||
\(119\) | 0.746353 | − | 0.626264i | 0.0684180 | − | 0.0574096i | ||||
\(120\) | 14.0447 | − | 3.80273i | 1.28210 | − | 0.347140i | ||||
\(121\) | −1.34621 | + | 7.63476i | −0.122383 | + | 0.694069i | ||||
\(122\) | 0.585007 | + | 0.679206i | 0.0529641 | + | 0.0614924i | ||||
\(123\) | 2.60228 | − | 2.42107i | 0.234640 | − | 0.218301i | ||||
\(124\) | −8.36063 | − | 6.65576i | −0.750807 | − | 0.597705i | ||||
\(125\) | 3.03136 | + | 1.75016i | 0.271133 | + | 0.156539i | ||||
\(126\) | −4.83510 | − | 3.18733i | −0.430745 | − | 0.283950i | ||||
\(127\) | 2.78247 | + | 4.81937i | 0.246904 | + | 0.427650i | 0.962665 | − | 0.270695i | \(-0.0872534\pi\) |
−0.715761 | + | 0.698345i | \(0.753920\pi\) | |||||||
\(128\) | −4.75083 | + | 10.2679i | −0.419918 | + | 0.907562i | ||||
\(129\) | 0.335903 | + | 6.55365i | 0.0295746 | + | 0.577017i | ||||
\(130\) | 3.69853 | + | 19.5018i | 0.324383 | + | 1.71042i | ||||
\(131\) | 3.27187 | + | 8.98940i | 0.285865 | + | 0.785407i | 0.996634 | + | 0.0819818i | \(0.0261249\pi\) |
−0.710769 | + | 0.703426i | \(0.751653\pi\) | |||||||
\(132\) | −12.3759 | + | 8.47754i | −1.07718 | + | 0.737875i | ||||
\(133\) | −9.98662 | + | 1.76091i | −0.865950 | + | 0.152690i | ||||
\(134\) | 12.7439 | − | 15.5914i | 1.10090 | − | 1.34689i | ||||
\(135\) | 7.43548 | + | 13.5238i | 0.639944 | + | 1.16394i | ||||
\(136\) | 0.941074 | − | 1.78611i | 0.0806964 | − | 0.153158i | ||||
\(137\) | 0.661480 | + | 3.75144i | 0.0565140 | + | 0.320507i | 0.999939 | − | 0.0110802i | \(-0.00352701\pi\) |
−0.943425 | + | 0.331587i | \(0.892416\pi\) | |||||||
\(138\) | 7.87182 | − | 7.51532i | 0.670094 | − | 0.639746i | ||||
\(139\) | −0.433062 | − | 1.18983i | −0.0367318 | − | 0.100920i | 0.919971 | − | 0.391987i | \(-0.128212\pi\) |
−0.956703 | + | 0.291067i | \(0.905990\pi\) | |||||||
\(140\) | −7.12416 | − | 3.87176i | −0.602101 | − | 0.327223i | ||||
\(141\) | 5.11548 | + | 7.89702i | 0.430801 | + | 0.665049i | ||||
\(142\) | −0.599178 | − | 1.00758i | −0.0502819 | − | 0.0845544i | ||||
\(143\) | −10.2320 | − | 17.7224i | −0.855646 | − | 1.48202i | ||||
\(144\) | −11.7724 | − | 2.32613i | −0.981032 | − | 0.193844i | ||||
\(145\) | −10.1006 | + | 17.4948i | −0.838809 | + | 1.45286i | ||||
\(146\) | −20.6248 | + | 0.265909i | −1.70692 | + | 0.0220068i | ||||
\(147\) | −1.99147 | − | 8.67149i | −0.164253 | − | 0.715212i | ||||
\(148\) | −0.0325701 | − | 1.26291i | −0.00267724 | − | 0.103811i | ||||
\(149\) | −9.84675 | − | 1.73625i | −0.806677 | − | 0.142239i | −0.244922 | − | 0.969543i | \(-0.578762\pi\) |
−0.561755 | + | 0.827304i | \(0.689874\pi\) | |||||||
\(150\) | 5.19002 | + | 7.79012i | 0.423763 | + | 0.636061i | ||||
\(151\) | 16.1625 | − | 13.5620i | 1.31529 | − | 1.10366i | 0.328008 | − | 0.944675i | \(-0.393623\pi\) |
0.987281 | − | 0.158983i | \(-0.0508216\pi\) | |||||||
\(152\) | −17.7778 | + | 11.2022i | −1.44197 | + | 0.908618i | ||||
\(153\) | 2.07653 | + | 0.522813i | 0.167877 | + | 0.0422670i | ||||
\(154\) | 8.25039 | + | 1.34534i | 0.664835 | + | 0.108410i | ||||
\(155\) | 5.42780 | − | 14.9128i | 0.435972 | − | 1.19782i | ||||
\(156\) | 4.39912 | − | 15.7680i | 0.352211 | − | 1.26245i | ||||
\(157\) | 5.71532 | − | 6.81126i | 0.456133 | − | 0.543598i | −0.488139 | − | 0.872766i | \(-0.662324\pi\) |
0.944271 | + | 0.329168i | \(0.106768\pi\) | |||||||
\(158\) | 9.43777 | + | 3.29792i | 0.750829 | + | 0.262368i | ||||
\(159\) | 11.9790 | − | 15.8587i | 0.949995 | − | 1.25767i | ||||
\(160\) | −16.6997 | − | 1.84565i | −1.32023 | − | 0.145912i | ||||
\(161\) | −6.06473 | −0.477968 | ||||||||
\(162\) | −0.549641 | − | 12.7160i | −0.0431839 | − | 0.999067i | ||||
\(163\) | − | 17.7771i | − | 1.39241i | −0.717845 | − | 0.696203i | \(-0.754871\pi\) | ||
0.717845 | − | 0.696203i | \(-0.245129\pi\) | |||||||
\(164\) | −3.81923 | + | 1.50269i | −0.298232 | + | 0.117340i | ||||
\(165\) | −17.7760 | − | 13.4272i | −1.38386 | − | 1.04531i | ||||
\(166\) | −0.611127 | + | 1.74889i | −0.0474327 | + | 0.135740i | ||||
\(167\) | −5.29501 | − | 4.44304i | −0.409740 | − | 0.343813i | 0.414504 | − | 0.910048i | \(-0.363955\pi\) |
−0.824244 | + | 0.566235i | \(0.808400\pi\) | |||||||
\(168\) | 3.84986 | + | 5.46763i | 0.297023 | + | 0.421837i | ||||
\(169\) | 8.76904 | + | 3.19167i | 0.674541 | + | 0.245513i | ||||
\(170\) | 2.95903 | + | 0.482510i | 0.226947 | + | 0.0370069i | ||||
\(171\) | −15.9966 | − | 15.5190i | −1.22329 | − | 1.18677i | ||||
\(172\) | 2.40720 | − | 7.18491i | 0.183547 | − | 0.547844i | ||||
\(173\) | 14.6599 | + | 17.4709i | 1.11457 | + | 1.32829i | 0.939037 | + | 0.343817i | \(0.111720\pi\) |
0.175531 | + | 0.984474i | \(0.443836\pi\) | |||||||
\(174\) | 13.8650 | − | 9.23727i | 1.05110 | − | 0.700275i | ||||
\(175\) | 0.905794 | − | 5.13702i | 0.0684716 | − | 0.388322i | ||||
\(176\) | 16.8808 | − | 3.88316i | 1.27244 | − | 0.292704i | ||||
\(177\) | −2.10909 | + | 0.484366i | −0.158529 | + | 0.0364072i | ||||
\(178\) | −7.53356 | + | 0.0971278i | −0.564664 | + | 0.00728004i | ||||
\(179\) | 10.8469 | + | 6.26245i | 0.810734 | + | 0.468077i | 0.847211 | − | 0.531257i | \(-0.178280\pi\) |
−0.0364770 | + | 0.999334i | \(0.511614\pi\) | |||||||
\(180\) | −2.27840 | − | 17.6743i | −0.169822 | − | 1.31737i | ||||
\(181\) | −10.6636 | + | 6.15662i | −0.792618 | + | 0.457618i | −0.840883 | − | 0.541217i | \(-0.817964\pi\) |
0.0482656 | + | 0.998835i | \(0.484631\pi\) | |||||||
\(182\) | −7.84069 | + | 4.66262i | −0.581191 | + | 0.345616i | ||||
\(183\) | 0.921443 | − | 0.596886i | 0.0681150 | − | 0.0441231i | ||||
\(184\) | −11.6340 | + | 4.75154i | −0.857671 | + | 0.350288i | ||||
\(185\) | 1.76297 | − | 0.641668i | 0.129616 | − | 0.0471763i | ||||
\(186\) | −9.46658 | + | 9.03785i | −0.694124 | + | 0.662687i | ||||
\(187\) | −3.04399 | + | 0.536738i | −0.222599 | + | 0.0392502i | ||||
\(188\) | −2.16185 | − | 10.6474i | −0.157669 | − | 0.776543i | ||||
\(189\) | −4.67165 | + | 5.33681i | −0.339813 | + | 0.388196i | ||||
\(190\) | −24.1611 | − | 19.7484i | −1.75283 | − | 1.43270i | ||||
\(191\) | 0.0708406 | + | 0.401757i | 0.00512584 | + | 0.0290701i | 0.987263 | − | 0.159094i | \(-0.0508574\pi\) |
−0.982138 | + | 0.188164i | \(0.939746\pi\) | |||||||
\(192\) | 11.6689 | + | 7.47235i | 0.842133 | + | 0.539270i | ||||
\(193\) | 20.6767 | − | 7.52571i | 1.48834 | − | 0.541712i | 0.535330 | − | 0.844643i | \(-0.320187\pi\) |
0.953013 | + | 0.302930i | \(0.0979650\pi\) | |||||||
\(194\) | −0.523109 | − | 2.75828i | −0.0375571 | − | 0.198033i | ||||
\(195\) | 24.2786 | − | 1.24438i | 1.73863 | − | 0.0891122i | ||||
\(196\) | −1.52256 | + | 10.1602i | −0.108755 | + | 0.725727i | ||||
\(197\) | −18.0410 | + | 10.4160i | −1.28537 | + | 0.742108i | −0.977824 | − | 0.209426i | \(-0.932840\pi\) |
−0.307544 | + | 0.951534i | \(0.599507\pi\) | |||||||
\(198\) | 8.22838 | + | 16.4268i | 0.584765 | + | 1.16740i | ||||
\(199\) | −1.53489 | + | 2.65851i | −0.108805 | + | 0.188457i | −0.915287 | − | 0.402803i | \(-0.868036\pi\) |
0.806481 | + | 0.591260i | \(0.201369\pi\) | |||||||
\(200\) | −2.28711 | − | 10.5640i | −0.161723 | − | 0.746990i | ||||
\(201\) | −16.7992 | − | 18.0565i | −1.18492 | − | 1.27361i | ||||
\(202\) | 3.95314 | + | 4.58968i | 0.278142 | + | 0.322929i | ||||
\(203\) | −9.14294 | − | 1.61215i | −0.641708 | − | 0.113150i | ||||
\(204\) | −2.01076 | − | 1.43895i | −0.140781 | − | 0.100747i | ||||
\(205\) | −3.91777 | − | 4.66901i | −0.273629 | − | 0.326098i | ||||
\(206\) | 14.7491 | − | 5.58460i | 1.02762 | − | 0.389097i | ||||
\(207\) | −7.80990 | − | 10.8016i | −0.542825 | − | 0.750761i | ||||
\(208\) | −11.3878 | + | 15.0873i | −0.789604 | + | 1.04612i | ||||
\(209\) | 30.2312 | + | 11.0033i | 2.09114 | + | 0.761111i | ||||
\(210\) | −5.88283 | + | 8.00053i | −0.405954 | + | 0.552089i | ||||
\(211\) | 1.48569 | − | 1.77058i | 0.102279 | − | 0.121892i | −0.712477 | − | 0.701696i | \(-0.752427\pi\) |
0.814756 | + | 0.579804i | \(0.196871\pi\) | |||||||
\(212\) | −19.5720 | + | 11.9831i | −1.34421 | + | 0.823001i | ||||
\(213\) | −1.32225 | + | 0.559468i | −0.0905991 | + | 0.0383341i | ||||
\(214\) | −14.3473 | − | 8.03863i | −0.980764 | − | 0.549510i | ||||
\(215\) | 11.2529 | 0.767439 | ||||||||
\(216\) | −4.78043 | + | 13.8978i | −0.325267 | + | 0.945622i | ||||
\(217\) | 7.29339 | 0.495108 | ||||||||
\(218\) | −2.62573 | − | 1.47116i | −0.177837 | − | 0.0996395i | ||||
\(219\) | −3.10753 | + | 25.0704i | −0.209988 | + | 1.69410i | ||||
\(220\) | 13.4318 | + | 21.9382i | 0.905574 | + | 1.47908i | ||||
\(221\) | 2.16816 | − | 2.58392i | 0.145846 | − | 0.173813i | ||||
\(222\) | −1.53784 | − | 0.170519i | −0.103213 | − | 0.0114445i | ||||
\(223\) | 3.40012 | + | 1.23754i | 0.227689 | + | 0.0828721i | 0.453345 | − | 0.891335i | \(-0.350230\pi\) |
−0.225656 | + | 0.974207i | \(0.572453\pi\) | |||||||
\(224\) | −1.82787 | − | 7.50205i | −0.122130 | − | 0.501252i | ||||
\(225\) | 10.3157 | − | 5.00196i | 0.687714 | − | 0.333464i | ||||
\(226\) | 23.0986 | − | 8.74604i | 1.53649 | − | 0.581778i | ||||
\(227\) | 12.6692 | + | 15.0985i | 0.840883 | + | 1.00212i | 0.999890 | + | 0.0148475i | \(0.00472629\pi\) |
−0.159007 | + | 0.987277i | \(0.550829\pi\) | |||||||
\(228\) | 10.6360 | + | 23.4346i | 0.704390 | + | 1.55200i | ||||
\(229\) | 17.3012 | + | 3.05066i | 1.14329 | + | 0.201593i | 0.713045 | − | 0.701118i | \(-0.247315\pi\) |
0.430247 | + | 0.902711i | \(0.358426\pi\) | |||||||
\(230\) | −12.1793 | − | 14.1405i | −0.803081 | − | 0.932394i | ||||
\(231\) | 3.00458 | − | 9.78727i | 0.197687 | − | 0.643955i | ||||
\(232\) | −18.8020 | + | 4.07063i | −1.23441 | + | 0.267250i | ||||
\(233\) | 9.53675 | − | 16.5181i | 0.624774 | − | 1.08214i | −0.363811 | − | 0.931473i | \(-0.618525\pi\) |
0.988585 | − | 0.150667i | \(-0.0481420\pi\) | |||||||
\(234\) | −18.4012 | − | 7.96032i | −1.20293 | − | 0.520383i | ||||
\(235\) | 13.9730 | − | 8.06729i | 0.911495 | − | 0.526252i | ||||
\(236\) | 2.47117 | + | 0.370319i | 0.160859 | + | 0.0241057i | ||||
\(237\) | 5.57132 | − | 10.9033i | 0.361896 | − | 0.708246i | ||||
\(238\) | 0.256736 | + | 1.35373i | 0.0166417 | + | 0.0877493i | ||||
\(239\) | −1.39969 | + | 0.509446i | −0.0905384 | + | 0.0329533i | −0.386892 | − | 0.922125i | \(-0.626451\pi\) |
0.296354 | + | 0.955078i | \(0.404229\pi\) | |||||||
\(240\) | −5.01691 | + | 19.9565i | −0.323840 | + | 1.28819i | ||||
\(241\) | 0.766076 | + | 4.34463i | 0.0493473 | + | 0.279862i | 0.999489 | − | 0.0319552i | \(-0.0101734\pi\) |
−0.950142 | + | 0.311817i | \(0.899062\pi\) | |||||||
\(242\) | −8.48887 | − | 6.93850i | −0.545685 | − | 0.446024i | ||||
\(243\) | −15.5211 | − | 1.44792i | −0.995677 | − | 0.0928839i | ||||
\(244\) | −1.24237 | + | 0.252250i | −0.0795345 | + | 0.0161487i | ||||
\(245\) | −15.0251 | + | 2.64932i | −0.959916 | + | 0.169259i | ||||
\(246\) | 1.18817 | + | 4.88417i | 0.0757551 | + | 0.311403i | ||||
\(247\) | −32.9904 | + | 12.0075i | −2.09913 | + | 0.764020i | ||||
\(248\) | 13.9910 | − | 5.71415i | 0.888427 | − | 0.362849i | ||||
\(249\) | 2.02046 | + | 1.03241i | 0.128041 | + | 0.0654260i | ||||
\(250\) | −4.25473 | + | 2.53016i | −0.269093 | + | 0.160021i | ||||
\(251\) | 23.4897 | − | 13.5618i | 1.48265 | − | 0.856011i | 0.482848 | − | 0.875704i | \(-0.339602\pi\) |
0.999806 | + | 0.0196931i | \(0.00626890\pi\) | |||||||
\(252\) | 7.27471 | − | 3.76207i | 0.458264 | − | 0.236988i | ||||
\(253\) | 16.6627 | + | 9.62020i | 1.04757 | + | 0.604817i | ||||
\(254\) | −7.86935 | + | 0.101457i | −0.493767 | + | 0.00636598i | ||||
\(255\) | 1.07761 | − | 3.51024i | 0.0674823 | − | 0.219820i | ||||
\(256\) | −9.38405 | − | 12.9592i | −0.586503 | − | 0.809947i | ||||
\(257\) | −2.75518 | + | 15.6254i | −0.171864 | + | 0.974687i | 0.769839 | + | 0.638239i | \(0.220337\pi\) |
−0.941702 | + | 0.336448i | \(0.890774\pi\) | |||||||
\(258\) | −8.31782 | − | 4.11585i | −0.517845 | − | 0.256241i | ||||
\(259\) | 0.554221 | + | 0.660495i | 0.0344376 | + | 0.0410412i | ||||
\(260\) | −26.6172 | − | 8.91770i | −1.65073 | − | 0.553052i | ||||
\(261\) | −8.90256 | − | 18.3600i | −0.551055 | − | 1.13646i | ||||
\(262\) | −13.3525 | − | 2.17730i | −0.824918 | − | 0.134514i | ||||
\(263\) | 1.51313 | + | 0.550733i | 0.0933034 | + | 0.0339597i | 0.388250 | − | 0.921554i | \(-0.373080\pi\) |
−0.294947 | + | 0.955514i | \(0.595302\pi\) | |||||||
\(264\) | −1.90432 | − | 21.1290i | −0.117203 | − | 1.30040i | ||||
\(265\) | −26.1071 | − | 21.9065i | −1.60375 | − | 1.34570i | ||||
\(266\) | 4.73080 | − | 13.5383i | 0.290064 | − | 0.830088i | ||||
\(267\) | −1.13508 | + | 9.15738i | −0.0694657 | + | 0.560422i | ||||
\(268\) | 10.4267 | + | 26.5006i | 0.636914 | + | 1.61878i | ||||
\(269\) | − | 2.95858i | − | 0.180388i | −0.995924 | − | 0.0901940i | \(-0.971251\pi\) | ||
0.995924 | − | 0.0901940i | \(-0.0287487\pi\) | |||||||
\(270\) | −21.8250 | − | 0.174871i | −1.32823 | − | 0.0106423i | ||||
\(271\) | 6.23755 | 0.378904 | 0.189452 | − | 0.981890i | \(-0.439329\pi\) | ||||
0.189452 | + | 0.981890i | \(0.439329\pi\) | |||||||
\(272\) | 1.55311 | + | 2.39572i | 0.0941709 | + | 0.145262i | ||||
\(273\) | 4.35361 | + | 10.2894i | 0.263493 | + | 0.622740i | ||||
\(274\) | −5.08562 | − | 1.77711i | −0.307234 | − | 0.107359i | ||||
\(275\) | −10.6372 | + | 12.6770i | −0.641450 | + | 0.764450i | ||||
\(276\) | 3.83062 | + | 14.9070i | 0.230576 | + | 0.897294i | ||||
\(277\) | 7.97956 | − | 21.9237i | 0.479445 | − | 1.31727i | −0.430520 | − | 0.902581i | \(-0.641670\pi\) |
0.909965 | − | 0.414684i | \(-0.136108\pi\) | |||||||
\(278\) | 1.76732 | + | 0.288185i | 0.105997 | + | 0.0172842i | ||||
\(279\) | 9.39211 | + | 12.9899i | 0.562291 | + | 0.777683i | ||||
\(280\) | 9.70145 | − | 6.11311i | 0.579773 | − | 0.365328i | ||||
\(281\) | −5.53822 | + | 4.64712i | −0.330383 | + | 0.277224i | −0.792856 | − | 0.609409i | \(-0.791407\pi\) |
0.462473 | + | 0.886633i | \(0.346962\pi\) | |||||||
\(282\) | −13.2791 | + | 0.852381i | −0.790761 | + | 0.0507585i | ||||
\(283\) | 1.34312 | + | 0.236829i | 0.0798404 | + | 0.0140780i | 0.213426 | − | 0.976959i | \(-0.431538\pi\) |
−0.133585 | + | 0.991037i | \(0.542649\pi\) | |||||||
\(284\) | 1.65730 | − | 0.0427412i | 0.0983426 | − | 0.00253622i | ||||
\(285\) | −27.9810 | + | 26.0326i | −1.65745 | + | 1.54204i | ||||
\(286\) | 28.9382 | − | 0.373090i | 1.71115 | − | 0.0220613i | ||||
\(287\) | 1.40055 | − | 2.42582i | 0.0826718 | − | 0.143192i | ||||
\(288\) | 11.0077 | − | 12.9163i | 0.648632 | − | 0.761102i | ||||
\(289\) | 8.24526 | + | 14.2812i | 0.485015 | + | 0.840071i | ||||
\(290\) | −14.6022 | − | 24.5551i | −0.857469 | − | 1.44193i | ||||
\(291\) | −3.43389 | + | 0.176002i | −0.201298 | + | 0.0103174i | ||||
\(292\) | 13.9290 | − | 25.6299i | 0.815134 | − | 1.49987i | ||||
\(293\) | 5.01243 | + | 13.7715i | 0.292829 | + | 0.804541i | 0.995650 | + | 0.0931743i | \(0.0297014\pi\) |
−0.702821 | + | 0.711367i | \(0.748076\pi\) | |||||||
\(294\) | 12.0751 | + | 3.53726i | 0.704237 | + | 0.206297i | ||||
\(295\) | 0.644371 | + | 3.65441i | 0.0375167 | + | 0.212768i | ||||
\(296\) | 1.58064 | + | 0.832816i | 0.0918731 | + | 0.0484065i | ||||
\(297\) | 21.3008 | − | 7.25231i | 1.23600 | − | 0.420822i | ||||
\(298\) | 8.94876 | − | 10.9483i | 0.518388 | − | 0.634219i | ||||
\(299\) | −20.6775 | + | 3.64600i | −1.19581 | + | 0.210853i | ||||
\(300\) | −13.1988 | + | 1.01823i | −0.762032 | + | 0.0587877i | ||||
\(301\) | 1.76877 | + | 4.85966i | 0.101950 | + | 0.280106i | ||||
\(302\) | 5.55971 | + | 29.3155i | 0.319925 | + | 1.68692i | ||||
\(303\) | 6.22658 | − | 4.03342i | 0.357708 | − | 0.231714i | ||||
\(304\) | −1.53174 | − | 29.6771i | −0.0878515 | − | 1.70210i | ||||
\(305\) | −0.941311 | − | 1.63040i | −0.0538993 | − | 0.0933564i | ||||
\(306\) | −2.08044 | + | 2.20053i | −0.118931 | + | 0.125796i | ||||
\(307\) | 9.62473 | + | 5.55684i | 0.549313 | + | 0.317146i | 0.748845 | − | 0.662746i | \(-0.230609\pi\) |
−0.199532 | + | 0.979891i | \(0.563942\pi\) | |||||||
\(308\) | −7.36298 | + | 9.24901i | −0.419545 | + | 0.527011i | ||||
\(309\) | −4.32338 | − | 18.8254i | −0.245948 | − | 1.07094i | ||||
\(310\) | 14.6467 | + | 17.0052i | 0.831879 | + | 0.965830i | ||||
\(311\) | 1.91302 | − | 10.8493i | 0.108477 | − | 0.615206i | −0.881297 | − | 0.472563i | \(-0.843329\pi\) |
0.989774 | − | 0.142643i | \(-0.0455601\pi\) | |||||||
\(312\) | 16.4130 | + | 16.3272i | 0.929201 | + | 0.924347i | ||||
\(313\) | −1.97229 | + | 1.65494i | −0.111480 | + | 0.0935430i | −0.696824 | − | 0.717242i | \(-0.745404\pi\) |
0.585344 | + | 0.810785i | \(0.300960\pi\) | |||||||
\(314\) | 4.45268 | + | 11.7597i | 0.251279 | + | 0.663637i | ||||
\(315\) | 8.72945 | + | 8.46883i | 0.491849 | + | 0.477164i | ||||
\(316\) | −10.5928 | + | 9.36422i | −0.595890 | + | 0.526779i | ||||
\(317\) | −1.43808 | + | 3.95110i | −0.0807708 | + | 0.221916i | −0.973504 | − | 0.228669i | \(-0.926563\pi\) |
0.892733 | + | 0.450585i | \(0.148785\pi\) | |||||||
\(318\) | 11.2852 | + | 25.7416i | 0.632841 | + | 1.44352i | ||||
\(319\) | 22.5627 | + | 18.9323i | 1.26327 | + | 1.06001i | ||||
\(320\) | 13.8209 | − | 19.3276i | 0.772613 | − | 1.08045i | ||||
\(321\) | −12.1402 | + | 16.0721i | −0.677602 | + | 0.897059i | ||||
\(322\) | 4.19230 | − | 7.48242i | 0.233628 | − | 0.416979i | ||||
\(323\) | 5.30276i | 0.295053i | ||||||||
\(324\) | 16.0685 | + | 8.11196i | 0.892693 | + | 0.450664i | ||||
\(325\) | − | 18.0590i | − | 1.00173i | ||||||
\(326\) | 21.9326 | + | 12.2886i | 1.21473 | + | 0.680600i | ||||
\(327\) | −2.22180 | + | 2.94138i | −0.122866 | + | 0.162659i | ||||
\(328\) | 0.786123 | − | 5.75076i | 0.0434064 | − | 0.317532i | ||||
\(329\) | 5.68027 | + | 4.76631i | 0.313163 | + | 0.262775i | ||||
\(330\) | 28.8538 | − | 12.6496i | 1.58835 | − | 0.696335i | ||||
\(331\) | 0.147225 | − | 0.404498i | 0.00809223 | − | 0.0222332i | −0.935581 | − | 0.353113i | \(-0.885123\pi\) |
0.943673 | + | 0.330880i | \(0.107345\pi\) | |||||||
\(332\) | −1.73526 | − | 1.96292i | −0.0952346 | − | 0.107729i | ||||
\(333\) | −0.462671 | + | 1.83765i | −0.0253542 | + | 0.100703i | ||||
\(334\) | 9.14187 | − | 3.46148i | 0.500221 | − | 0.189403i | ||||
\(335\) | −32.3970 | + | 27.1843i | −1.77004 | + | 1.48524i | ||||
\(336\) | −9.40699 | + | 0.970245i | −0.513193 | + | 0.0529312i | ||||
\(337\) | 2.69206 | − | 15.2674i | 0.146646 | − | 0.831671i | −0.819385 | − | 0.573244i | \(-0.805685\pi\) |
0.966031 | − | 0.258427i | \(-0.0832041\pi\) | |||||||
\(338\) | −9.99943 | + | 8.61261i | −0.543897 | + | 0.468464i | ||||
\(339\) | −6.77084 | − | 29.4824i | −0.367741 | − | 1.60126i | ||||
\(340\) | −2.64076 | + | 3.31719i | −0.143215 | + | 0.179900i | ||||
\(341\) | −20.0384 | − | 11.5692i | −1.08514 | − | 0.626505i | ||||
\(342\) | 30.2045 | − | 9.00828i | 1.63327 | − | 0.487112i | ||||
\(343\) | −8.28328 | − | 14.3471i | −0.447255 | − | 0.774669i | ||||
\(344\) | 7.20045 | + | 7.93654i | 0.388222 | + | 0.427910i | ||||
\(345\) | −19.1836 | + | 12.4266i | −1.03281 | + | 0.669028i | ||||
\(346\) | −31.6887 | + | 6.00978i | −1.70359 | + | 0.323088i | ||||
\(347\) | −2.18648 | − | 6.00732i | −0.117377 | − | 0.322490i | 0.867067 | − | 0.498192i | \(-0.166003\pi\) |
−0.984443 | + | 0.175702i | \(0.943780\pi\) | |||||||
\(348\) | 1.81227 | + | 23.4914i | 0.0971477 | + | 1.25927i | ||||
\(349\) | 35.8064 | − | 6.31363i | 1.91667 | − | 0.337961i | 0.918345 | − | 0.395781i | \(-0.129526\pi\) |
0.998327 | + | 0.0578197i | \(0.0184148\pi\) | |||||||
\(350\) | 5.71170 | + | 4.66854i | 0.305303 | + | 0.249544i | ||||
\(351\) | −12.7194 | + | 21.0042i | −0.678913 | + | 1.12112i | ||||
\(352\) | −6.87813 | + | 23.5111i | −0.366605 | + | 1.25315i | ||||
\(353\) | −2.81872 | − | 15.9857i | −0.150025 | − | 0.850835i | −0.963194 | − | 0.268807i | \(-0.913370\pi\) |
0.813169 | − | 0.582028i | \(-0.197741\pi\) | |||||||
\(354\) | 0.860334 | − | 2.93693i | 0.0457262 | − | 0.156096i | ||||
\(355\) | 0.842050 | + | 2.31351i | 0.0446914 | + | 0.122789i | ||||
\(356\) | 5.08781 | − | 9.36174i | 0.269653 | − | 0.496171i | ||||
\(357\) | 1.68531 | − | 0.0863798i | 0.0891963 | − | 0.00457170i | ||||
\(358\) | −15.2244 | + | 9.05346i | −0.804632 | + | 0.478490i | ||||
\(359\) | −2.92393 | − | 5.06440i | −0.154319 | − | 0.267289i | 0.778492 | − | 0.627655i | \(-0.215985\pi\) |
−0.932811 | + | 0.360366i | \(0.882652\pi\) | |||||||
\(360\) | 23.3808 | + | 9.40655i | 1.23228 | + | 0.495769i | ||||
\(361\) | 18.0962 | − | 31.3435i | 0.952430 | − | 1.64966i | ||||
\(362\) | −0.224489 | − | 17.4121i | −0.0117989 | − | 0.915160i | ||||
\(363\) | −9.83099 | + | 9.14643i | −0.515993 | + | 0.480063i | ||||
\(364\) | −0.332599 | − | 12.8966i | −0.0174329 | − | 0.675966i | ||||
\(365\) | 42.6612 | + | 7.52233i | 2.23299 | + | 0.393737i | ||||
\(366\) | 0.0994579 | + | 1.54944i | 0.00519875 | + | 0.0809906i | ||||
\(367\) | 14.7699 | − | 12.3934i | 0.770981 | − | 0.646930i | −0.169979 | − | 0.985448i | \(-0.554370\pi\) |
0.940960 | + | 0.338518i | \(0.109925\pi\) | |||||||
\(368\) | 2.17987 | − | 17.6381i | 0.113634 | − | 0.919450i | ||||
\(369\) | 6.12406 | − | 0.629424i | 0.318806 | − | 0.0327665i | ||||
\(370\) | −0.427004 | + | 2.61864i | −0.0221989 | + | 0.136136i | ||||
\(371\) | 5.35690 | − | 14.7180i | 0.278116 | − | 0.764118i | ||||
\(372\) | −4.60667 | − | 17.9270i | −0.238845 | − | 0.929470i | ||||
\(373\) | −4.04624 | + | 4.82212i | −0.209506 | + | 0.249680i | −0.860557 | − | 0.509355i | \(-0.829884\pi\) |
0.651050 | + | 0.759034i | \(0.274329\pi\) | |||||||
\(374\) | 1.44198 | − | 4.12658i | 0.0745632 | − | 0.213380i | ||||
\(375\) | 2.36248 | + | 5.58349i | 0.121998 | + | 0.288330i | ||||
\(376\) | 14.6308 | + | 4.69293i | 0.754524 | + | 0.242019i | ||||
\(377\) | −32.1417 | −1.65538 | ||||||||
\(378\) | −3.35502 | − | 9.45282i | −0.172564 | − | 0.486200i | ||||
\(379\) | − | 17.2449i | − | 0.885812i | −0.896568 | − | 0.442906i | \(-0.853948\pi\) | ||
0.896568 | − | 0.442906i | \(-0.146052\pi\) | |||||||
\(380\) | 41.0663 | − | 16.1577i | 2.10666 | − | 0.828871i | ||||
\(381\) | −1.18567 | + | 9.56554i | −0.0607438 | + | 0.490058i | ||||
\(382\) | −0.544640 | − | 0.190318i | −0.0278662 | − | 0.00973751i | ||||
\(383\) | 20.5611 | + | 17.2528i | 1.05062 | + | 0.881578i | 0.993159 | − | 0.116770i | \(-0.0372539\pi\) |
0.0574646 | + | 0.998348i | \(0.481698\pi\) | |||||||
\(384\) | −17.2853 | + | 9.23132i | −0.882088 | + | 0.471084i | ||||
\(385\) | −16.4974 | − | 6.00455i | −0.840783 | − | 0.306020i | ||||
\(386\) | −5.00806 | + | 30.7123i | −0.254903 | + | 1.56321i | ||||
\(387\) | −6.37754 | + | 9.40832i | −0.324188 | + | 0.478252i | ||||
\(388\) | 3.76465 | + | 1.26129i | 0.191121 | + | 0.0640324i | ||||
\(389\) | 10.1688 | + | 12.1187i | 0.515578 | + | 0.614442i | 0.959529 | − | 0.281609i | \(-0.0908681\pi\) |
−0.443951 | + | 0.896051i | \(0.646424\pi\) | |||||||
\(390\) | −15.2475 | + | 30.8141i | −0.772089 | + | 1.56033i | ||||
\(391\) | −0.550702 | + | 3.12319i | −0.0278502 | + | 0.157946i | ||||
\(392\) | −11.4827 | − | 8.90180i | −0.579966 | − | 0.449609i | ||||
\(393\) | −4.86263 | + | 15.8398i | −0.245287 | + | 0.799010i | ||||
\(394\) | −0.379797 | − | 29.4584i | −0.0191339 | − | 1.48409i | ||||
\(395\) | −18.1833 | − | 10.4981i | −0.914902 | − | 0.528219i | ||||
\(396\) | −25.9546 | − | 1.20334i | −1.30427 | − | 0.0604699i | ||||
\(397\) | −31.3595 | + | 18.1054i | −1.57389 | + | 0.908686i | −0.578205 | + | 0.815892i | \(0.696246\pi\) |
−0.995685 | + | 0.0927941i | \(0.970420\pi\) | |||||||
\(398\) | −2.21895 | − | 3.73140i | −0.111226 | − | 0.187038i | ||||
\(399\) | −15.6406 | − | 7.99197i | −0.783010 | − | 0.400099i | ||||
\(400\) | 14.6145 | + | 4.48075i | 0.730723 | + | 0.224037i | ||||
\(401\) | −29.9275 | + | 10.8927i | −1.49451 | + | 0.543957i | −0.954632 | − | 0.297788i | \(-0.903751\pi\) |
−0.539876 | + | 0.841744i | \(0.681529\pi\) | |||||||
\(402\) | 33.8899 | − | 8.24440i | 1.69028 | − | 0.411193i | ||||
\(403\) | 24.8665 | − | 4.38464i | 1.23869 | − | 0.218414i | ||||
\(404\) | −8.39521 | + | 1.70456i | −0.417677 | + | 0.0848051i | ||||
\(405\) | −3.84198 | + | 26.4533i | −0.190909 | + | 1.31448i | ||||
\(406\) | 8.30914 | − | 10.1658i | 0.412376 | − | 0.504519i | ||||
\(407\) | −0.474994 | − | 2.69382i | −0.0235446 | − | 0.133528i | ||||
\(408\) | 3.16528 | − | 1.48610i | 0.156704 | − | 0.0735728i | ||||
\(409\) | −15.5146 | + | 5.64685i | −0.767147 | + | 0.279219i | −0.695802 | − | 0.718233i | \(-0.744951\pi\) |
−0.0713442 | + | 0.997452i | \(0.522729\pi\) | |||||||
\(410\) | 8.46863 | − | 1.60608i | 0.418236 | − | 0.0793187i | ||||
\(411\) | −3.00215 | + | 5.87534i | −0.148085 | + | 0.289809i | ||||
\(412\) | −3.30541 | + | 22.0573i | −0.162846 | + | 1.08668i | ||||
\(413\) | −1.47691 | + | 0.852693i | −0.0726738 | + | 0.0419583i | ||||
\(414\) | 18.7252 | − | 2.16884i | 0.920293 | − | 0.106593i | ||||
\(415\) | 1.94538 | − | 3.36950i | 0.0954950 | − | 0.165402i | ||||
\(416\) | −10.7421 | − | 24.4791i | −0.526676 | − | 1.20018i | ||||
\(417\) | 0.643613 | − | 2.09654i | 0.0315179 | − | 0.102668i | ||||
\(418\) | −34.4729 | + | 29.6919i | −1.68613 | + | 1.45228i | ||||
\(419\) | −18.1570 | − | 3.20156i | −0.887026 | − | 0.156407i | −0.288471 | − | 0.957489i | \(-0.593147\pi\) |
−0.598555 | + | 0.801082i | \(0.704258\pi\) | |||||||
\(420\) | −5.80416 | − | 12.7884i | −0.283214 | − | 0.624012i | ||||
\(421\) | −6.32940 | − | 7.54309i | −0.308476 | − | 0.367627i | 0.589426 | − | 0.807822i | \(-0.299354\pi\) |
−0.897902 | + | 0.440195i | \(0.854909\pi\) | |||||||
\(422\) | 1.15747 | + | 3.05692i | 0.0563448 | + | 0.148808i | ||||
\(423\) | −1.17422 | + | 16.2547i | −0.0570926 | + | 0.790329i | ||||
\(424\) | −1.25491 | − | 32.4305i | −0.0609436 | − | 1.57497i | ||||
\(425\) | −2.56318 | − | 0.932923i | −0.124333 | − | 0.0452534i | ||||
\(426\) | 0.223769 | − | 2.01808i | 0.0108417 | − | 0.0977761i | ||||
\(427\) | 0.556145 | − | 0.662787i | 0.0269137 | − | 0.0320745i | ||||
\(428\) | 19.8355 | − | 12.1444i | 0.958783 | − | 0.587021i | ||||
\(429\) | 4.36010 | − | 35.1756i | 0.210508 | − | 1.69829i | ||||
\(430\) | −7.77865 | + | 13.8833i | −0.375120 | + | 0.669513i | ||||
\(431\) | 5.60936 | 0.270193 | 0.135097 | − | 0.990832i | \(-0.456866\pi\) | ||||
0.135097 | + | 0.990832i | \(0.456866\pi\) | |||||||
\(432\) | −13.8420 | − | 15.5048i | −0.665971 | − | 0.745977i | ||||
\(433\) | −21.7801 | −1.04669 | −0.523343 | − | 0.852122i | \(-0.675315\pi\) | ||||
−0.523343 | + | 0.852122i | \(0.675315\pi\) | |||||||
\(434\) | −5.04162 | + | 8.99829i | −0.242006 | + | 0.431932i | ||||
\(435\) | −32.2237 | + | 13.6344i | −1.54501 | + | 0.653721i | ||||
\(436\) | 3.63011 | − | 2.22256i | 0.173851 | − | 0.106441i | ||||
\(437\) | 21.2173 | − | 25.2858i | 1.01496 | − | 1.20959i | ||||
\(438\) | −28.7827 | − | 21.1641i | −1.37529 | − | 1.01126i | ||||
\(439\) | 14.2403 | + | 5.18304i | 0.679652 | + | 0.247373i | 0.658698 | − | 0.752408i | \(-0.271108\pi\) |
0.0209536 | + | 0.999780i | \(0.493330\pi\) | |||||||
\(440\) | −36.3514 | + | 1.40662i | −1.73298 | + | 0.0670581i | ||||
\(441\) | 6.30037 | − | 14.0637i | 0.300017 | − | 0.669700i | ||||
\(442\) | 1.68917 | + | 4.46115i | 0.0803455 | + | 0.212195i | ||||
\(443\) | 6.71247 | + | 7.99962i | 0.318919 | + | 0.380073i | 0.901558 | − | 0.432658i | \(-0.142424\pi\) |
−0.582639 | + | 0.812731i | \(0.697980\pi\) | |||||||
\(444\) | 1.27342 | − | 1.77944i | 0.0604339 | − | 0.0844487i | ||||
\(445\) | 15.5827 | + | 2.74766i | 0.738692 | + | 0.130251i | ||||
\(446\) | −3.87720 | + | 3.33947i | −0.183591 | + | 0.158128i | ||||
\(447\) | −11.7964 | − | 12.6793i | −0.557950 | − | 0.599709i | ||||
\(448\) | 10.5193 | + | 2.93071i | 0.496988 | + | 0.138463i | ||||
\(449\) | −13.4948 | + | 23.3737i | −0.636860 | + | 1.10307i | 0.349258 | + | 0.937027i | \(0.386434\pi\) |
−0.986118 | + | 0.166047i | \(0.946900\pi\) | |||||||
\(450\) | −0.959612 | + | 16.1847i | −0.0452366 | + | 0.762956i | ||||
\(451\) | −7.69593 | + | 4.44325i | −0.362387 | + | 0.209224i | ||||
\(452\) | −5.17660 | + | 34.5439i | −0.243487 | + | 1.62481i | ||||
\(453\) | 36.4961 | − | 1.87059i | 1.71474 | − | 0.0878878i | ||||
\(454\) | −27.3856 | + | 5.19371i | −1.28527 | + | 0.243753i | ||||
\(455\) | 18.0031 | − | 6.55258i | 0.843996 | − | 0.307190i | ||||
\(456\) | −36.2650 | − | 3.07709i | −1.69826 | − | 0.144098i | ||||
\(457\) | 5.06627 | + | 28.7322i | 0.236990 | + | 1.34404i | 0.838382 | + | 0.545083i | \(0.183502\pi\) |
−0.601392 | + | 0.798954i | \(0.705387\pi\) | |||||||
\(458\) | −15.7234 | + | 19.2367i | −0.734704 | + | 0.898870i | ||||
\(459\) | 2.32412 | + | 2.89039i | 0.108481 | + | 0.134912i | ||||
\(460\) | 25.8650 | − | 5.25163i | 1.20596 | − | 0.244858i | ||||
\(461\) | −4.19983 | + | 0.740544i | −0.195606 | + | 0.0344906i | −0.270593 | − | 0.962694i | \(-0.587220\pi\) |
0.0749868 | + | 0.997185i | \(0.476109\pi\) | |||||||
\(462\) | 9.99819 | + | 10.4725i | 0.465158 | + | 0.487224i | ||||
\(463\) | −26.4209 | + | 9.61641i | −1.22788 | + | 0.446912i | −0.872872 | − | 0.487950i | \(-0.837745\pi\) |
−0.355010 | + | 0.934862i | \(0.615523\pi\) | |||||||
\(464\) | 7.97490 | − | 26.0110i | 0.370225 | − | 1.20753i | ||||
\(465\) | 23.0700 | − | 14.9442i | 1.06985 | − | 0.693019i | ||||
\(466\) | 13.7870 | + | 23.1844i | 0.638672 | + | 1.07400i | ||||
\(467\) | −5.86716 | + | 3.38741i | −0.271500 | + | 0.156750i | −0.629569 | − | 0.776945i | \(-0.716769\pi\) |
0.358069 | + | 0.933695i | \(0.383435\pi\) | |||||||
\(468\) | 22.5411 | − | 17.2001i | 1.04197 | − | 0.795073i | ||||
\(469\) | −16.8321 | − | 9.71802i | −0.777234 | − | 0.448736i | ||||
\(470\) | 0.294157 | + | 22.8158i | 0.0135685 | + | 1.05242i | ||||
\(471\) | 15.0097 | − | 3.44709i | 0.691612 | − | 0.158833i | ||||
\(472\) | −2.16510 | + | 2.79284i | −0.0996569 | + | 0.128551i | ||||
\(473\) | 2.84900 | − | 16.1575i | 0.130997 | − | 0.742922i | ||||
\(474\) | 9.60083 | + | 14.4107i | 0.440981 | + | 0.661904i | ||||
\(475\) | 18.2490 | + | 21.7483i | 0.837321 | + | 0.997880i | ||||
\(476\) | −1.84765 | − | 0.619028i | −0.0846868 | − | 0.0283731i | ||||
\(477\) | 33.1117 | − | 9.41225i | 1.51608 | − | 0.430957i | ||||
\(478\) | 0.339016 | − | 2.07904i | 0.0155062 | − | 0.0950930i | ||||
\(479\) | −33.0606 | − | 12.0331i | −1.51058 | − | 0.549806i | −0.551804 | − | 0.833974i | \(-0.686060\pi\) |
−0.958775 | + | 0.284168i | \(0.908283\pi\) | |||||||
\(480\) | −21.1535 | − | 19.9848i | −0.965522 | − | 0.912175i | ||||
\(481\) | 2.28667 | + | 1.91874i | 0.104263 | + | 0.0874872i | ||||
\(482\) | −5.88978 | − | 2.05811i | −0.268272 | − | 0.0937445i | ||||
\(483\) | −8.38193 | − | 6.33137i | −0.381391 | − | 0.288087i | ||||
\(484\) | 14.4284 | − | 5.67691i | 0.655838 | − | 0.258042i | ||||
\(485\) | 5.89612i | 0.267729i | ||||||||
\(486\) | 12.5155 | − | 18.1484i | 0.567713 | − | 0.823227i | ||||
\(487\) | −6.71410 | −0.304245 | −0.152122 | − | 0.988362i | \(-0.548611\pi\) | ||||
−0.152122 | + | 0.988362i | \(0.548611\pi\) | |||||||
\(488\) | 0.547582 | − | 1.70715i | 0.0247879 | − | 0.0772792i | ||||
\(489\) | 18.5586 | − | 24.5693i | 0.839250 | − | 1.11106i | ||||
\(490\) | 7.11758 | − | 20.3687i | 0.321540 | − | 0.920163i | ||||
\(491\) | −2.85750 | + | 3.40543i | −0.128957 | + | 0.153685i | −0.826659 | − | 0.562703i | \(-0.809761\pi\) |
0.697702 | + | 0.716388i | \(0.254206\pi\) | |||||||
\(492\) | −6.84723 | − | 1.91031i | −0.308697 | − | 0.0861235i | ||||
\(493\) | −1.66043 | + | 4.56199i | −0.0747820 | + | 0.205462i | ||||
\(494\) | 7.99052 | − | 49.0025i | 0.359510 | − | 2.20473i | ||||
\(495\) | −10.5502 | − | 37.1150i | −0.474196 | − | 1.66819i | ||||
\(496\) | −2.62149 | + | 21.2114i | −0.117708 | + | 0.952422i | ||||
\(497\) | −0.866757 | + | 0.727295i | −0.0388793 | + | 0.0326236i | ||||
\(498\) | −2.67040 | + | 1.77910i | −0.119664 | + | 0.0797235i | ||||
\(499\) | −19.6511 | − | 3.46501i | −0.879702 | − | 0.155115i | −0.284485 | − | 0.958680i | \(-0.591823\pi\) |
−0.595217 | + | 0.803565i | \(0.702934\pi\) | |||||||
\(500\) | −0.180484 | − | 6.99831i | −0.00807148 | − | 0.312974i | ||||
\(501\) | −2.67974 | − | 11.6684i | −0.119722 | − | 0.521307i | ||||
\(502\) | 0.494502 | + | 38.3553i | 0.0220707 | + | 1.71188i | ||||
\(503\) | 17.6903 | − | 30.6405i | 0.788771 | − | 1.36619i | −0.137949 | − | 0.990439i | \(-0.544051\pi\) |
0.926720 | − | 0.375753i | \(-0.122616\pi\) | |||||||
\(504\) | −0.387215 | + | 11.5758i | −0.0172479 | + | 0.515627i | ||||
\(505\) | −6.36084 | − | 11.0173i | −0.283054 | − | 0.490263i | ||||
\(506\) | −23.3872 | + | 13.9077i | −1.03969 | + | 0.618271i | ||||
\(507\) | 8.78750 | + | 13.5657i | 0.390267 | + | 0.602474i | ||||
\(508\) | 5.31459 | − | 9.77901i | 0.235797 | − | 0.433874i | ||||
\(509\) | −10.5192 | − | 28.9013i | −0.466256 | − | 1.28103i | −0.920707 | − | 0.390255i | \(-0.872387\pi\) |
0.454451 | − | 0.890772i | \(-0.349836\pi\) | |||||||
\(510\) | 3.58589 | + | 3.75599i | 0.158786 | + | 0.166318i | ||||
\(511\) | 3.45708 | + | 19.6061i | 0.152932 | + | 0.867321i | ||||
\(512\) | 22.4753 | − | 2.61952i | 0.993276 | − | 0.115768i | ||||
\(513\) | −5.90723 | − | 38.1484i | −0.260811 | − | 1.68429i | ||||
\(514\) | −17.3734 | − | 14.2004i | −0.766310 | − | 0.626355i | ||||
\(515\) | −32.6187 | + | 5.75155i | −1.43735 | + | 0.253444i | ||||
\(516\) | 10.8277 | − | 7.41707i | 0.476664 | − | 0.326518i | ||||
\(517\) | −8.04579 | − | 22.1056i | −0.353853 | − | 0.972204i | ||||
\(518\) | −1.19800 | + | 0.227202i | −0.0526372 | + | 0.00998268i | ||||
\(519\) | 2.02201 | + | 39.4506i | 0.0887565 | + | 1.73169i | ||||
\(520\) | 29.4016 | − | 26.6747i | 1.28935 | − | 1.16976i | ||||
\(521\) | −7.26319 | − | 12.5802i | −0.318206 | − | 0.551149i | 0.661908 | − | 0.749585i | \(-0.269747\pi\) |
−0.980114 | + | 0.198436i | \(0.936414\pi\) | |||||||
\(522\) | 28.8059 | + | 1.70793i | 1.26080 | + | 0.0747542i | ||||
\(523\) | −27.5376 | − | 15.8989i | −1.20414 | − | 0.695209i | −0.242665 | − | 0.970110i | \(-0.578021\pi\) |
−0.961472 | + | 0.274901i | \(0.911355\pi\) | |||||||
\(524\) | 11.9163 | − | 14.9686i | 0.520565 | − | 0.653908i | ||||
\(525\) | 6.61474 | − | 6.15414i | 0.288691 | − | 0.268588i | ||||
\(526\) | −1.72544 | + | 1.48614i | −0.0752326 | + | 0.0647986i | ||||
\(527\) | 0.662269 | − | 3.75591i | 0.0288489 | − | 0.163610i | ||||
\(528\) | 27.3845 | + | 12.2561i | 1.19176 | + | 0.533380i | ||||
\(529\) | −2.49659 | + | 2.09488i | −0.108547 | + | 0.0910819i | ||||
\(530\) | 45.0741 | − | 17.0668i | 1.95789 | − | 0.741336i | ||||
\(531\) | −3.42058 | − | 1.53238i | −0.148441 | − | 0.0664996i | ||||
\(532\) | 13.4328 | + | 15.1952i | 0.582387 | + | 0.658794i | ||||
\(533\) | 3.31676 | − | 9.11272i | 0.143665 | − | 0.394716i | ||||
\(534\) | −10.5134 | − | 7.73054i | −0.454958 | − | 0.334533i | ||||
\(535\) | 26.4585 | + | 22.2014i | 1.14390 | + | 0.959848i | ||||
\(536\) | −39.9029 | − | 5.45469i | −1.72354 | − | 0.235607i | ||||
\(537\) | 8.45345 | + | 19.9789i | 0.364793 | + | 0.862155i | ||||
\(538\) | 3.65018 | + | 2.04515i | 0.157370 | + | 0.0881726i | ||||
\(539\) | 22.2446i | 0.958142i | ||||||||
\(540\) | 15.3025 | − | 26.8059i | 0.658513 | − | 1.15354i | ||||
\(541\) | 35.1941i | 1.51311i | 0.653929 | + | 0.756556i | \(0.273120\pi\) | ||||
−0.653929 | + | 0.756556i | \(0.726880\pi\) | |||||||
\(542\) | −4.31176 | + | 7.69563i | −0.185206 | + | 0.330556i | ||||
\(543\) | −21.1652 | − | 2.62348i | −0.908285 | − | 0.112584i | ||||
\(544\) | −4.02935 | + | 0.260091i | −0.172757 | + | 0.0111513i | ||||
\(545\) | 4.84221 | + | 4.06310i | 0.207418 | + | 0.174044i | ||||
\(546\) | −15.7041 | − | 1.74131i | −0.672072 | − | 0.0745210i | ||||
\(547\) | 1.10913 | − | 3.04730i | 0.0474228 | − | 0.130293i | −0.913720 | − | 0.406344i | \(-0.866804\pi\) |
0.961143 | + | 0.276051i | \(0.0890258\pi\) | |||||||
\(548\) | 5.70801 | − | 5.04599i | 0.243834 | − | 0.215554i | ||||
\(549\) | 1.89663 | + | 0.137011i | 0.0809464 | + | 0.00584749i | ||||
\(550\) | −8.28724 | − | 21.8869i | −0.353369 | − | 0.933259i | ||||
\(551\) | 38.7079 | − | 32.4798i | 1.64901 | − | 1.38369i | ||||
\(552\) | −21.0396 | − | 5.57851i | −0.895503 | − | 0.237437i | ||||
\(553\) | 1.67560 | − | 9.50278i | 0.0712536 | − | 0.404100i | ||||
\(554\) | 21.5326 | + | 24.9998i | 0.914831 | + | 1.06214i | ||||
\(555\) | 3.10644 | + | 0.953641i | 0.131861 | + | 0.0404798i | ||||
\(556\) | −1.57723 | + | 1.98123i | −0.0668893 | + | 0.0840231i | ||||
\(557\) | 20.4301 | + | 11.7954i | 0.865653 | + | 0.499785i | 0.865901 | − | 0.500215i | \(-0.166746\pi\) |
−0.000248175 | 1.00000i | \(0.500079\pi\) | ||||||||
\(558\) | −22.5187 | + | 2.60823i | −0.953295 | + | 0.110415i | ||||
\(559\) | 8.95209 | + | 15.5055i | 0.378633 | + | 0.655812i | ||||
\(560\) | 0.835882 | + | 16.1950i | 0.0353225 | + | 0.684363i | ||||
\(561\) | −4.76737 | − | 2.43601i | −0.201279 | − | 0.102848i | ||||
\(562\) | −1.90508 | − | 10.0452i | −0.0803609 | − | 0.423731i | ||||
\(563\) | −7.83509 | − | 21.5267i | −0.330210 | − | 0.907244i | −0.988057 | − | 0.154092i | \(-0.950755\pi\) |
0.657847 | − | 0.753152i | \(-0.271467\pi\) | |||||||
\(564\) | 8.12769 | − | 16.9725i | 0.342237 | − | 0.714670i | ||||
\(565\) | −51.0841 | + | 9.00750i | −2.14912 | + | 0.378948i | ||||
\(566\) | −1.22064 | + | 1.49338i | −0.0513072 | + | 0.0627715i | ||||
\(567\) | −12.0280 | + | 2.49885i | −0.505130 | + | 0.104942i | ||||
\(568\) | −1.09289 | + | 2.07425i | −0.0458567 | + | 0.0870337i | ||||
\(569\) | 5.27628 | + | 29.9233i | 0.221193 | + | 1.25445i | 0.869830 | + | 0.493351i | \(0.164228\pi\) |
−0.648637 | + | 0.761098i | \(0.724661\pi\) | |||||||
\(570\) | −12.7758 | − | 52.5171i | −0.535121 | − | 2.19970i | ||||
\(571\) | 11.6641 | + | 32.0469i | 0.488129 | + | 1.34112i | 0.902373 | + | 0.430957i | \(0.141824\pi\) |
−0.414244 | + | 0.910166i | \(0.635954\pi\) | |||||||
\(572\) | −19.5435 | + | 35.9606i | −0.817153 | + | 1.50359i | ||||
\(573\) | −0.321513 | + | 0.629214i | −0.0134314 | + | 0.0262858i | ||||
\(574\) | 2.02474 | + | 3.40481i | 0.0845109 | + | 0.142114i | ||||
\(575\) | 8.48957 | + | 14.7044i | 0.354039 | + | 0.613214i | ||||
\(576\) | 8.32650 | + | 22.5093i | 0.346938 | + | 0.937888i | ||||
\(577\) | 5.70949 | − | 9.88913i | 0.237689 | − | 0.411690i | −0.722362 | − | 0.691516i | \(-0.756943\pi\) |
0.960051 | + | 0.279826i | \(0.0902767\pi\) | |||||||
\(578\) | −23.3192 | + | 0.300647i | −0.969950 | + | 0.0125053i | ||||
\(579\) | 36.4334 | + | 11.1847i | 1.51412 | + | 0.464818i | ||||
\(580\) | 40.3890 | − | 1.04162i | 1.67706 | − | 0.0432508i | ||||
\(581\) | 1.76093 | + | 0.310500i | 0.0730558 | + | 0.0128817i | ||||
\(582\) | 2.15657 | − | 4.35826i | 0.0893925 | − | 0.180656i | ||||
\(583\) | −38.0643 | + | 31.9397i | −1.57646 | + | 1.32281i | ||||
\(584\) | 21.9925 | + | 34.9019i | 0.910056 | + | 1.44425i | ||||
\(585\) | 34.8540 | + | 23.6262i | 1.44104 | + | 0.976822i | ||||
\(586\) | −20.4556 | − | 3.33557i | −0.845014 | − | 0.137791i | ||||
\(587\) | 10.9697 | − | 30.1389i | 0.452766 | − | 1.24396i | −0.478004 | − | 0.878358i | \(-0.658639\pi\) |
0.930770 | − | 0.365606i | \(-0.119138\pi\) | |||||||
\(588\) | −12.7112 | + | 12.4527i | −0.524200 | + | 0.513539i | ||||
\(589\) | −25.5158 | + | 30.4085i | −1.05136 | + | 1.25296i | ||||
\(590\) | −4.95408 | − | 1.73114i | −0.203956 | − | 0.0712701i | ||||
\(591\) | −35.8080 | − | 4.43848i | −1.47294 | − | 0.182575i | ||||
\(592\) | −2.12013 | + | 1.37444i | −0.0871368 | + | 0.0564892i | ||||
\(593\) | 19.2802 | 0.791741 | 0.395871 | − | 0.918306i | \(-0.370443\pi\) | ||||
0.395871 | + | 0.918306i | \(0.370443\pi\) | |||||||
\(594\) | −5.77674 | + | 31.2932i | −0.237022 | + | 1.28398i | ||||
\(595\) | − | 2.89375i | − | 0.118632i | ||||||
\(596\) | 7.32166 | + | 18.6087i | 0.299907 | + | 0.762244i | ||||
\(597\) | −4.89672 | + | 2.07189i | −0.200410 | + | 0.0847969i | ||||
\(598\) | 9.79521 | − | 28.0313i | 0.400556 | − | 1.14629i | ||||
\(599\) | 31.8430 | + | 26.7195i | 1.30107 | + | 1.09173i | 0.989959 | + | 0.141354i | \(0.0451454\pi\) |
0.311111 | + | 0.950374i | \(0.399299\pi\) | |||||||
\(600\) | 7.86752 | − | 16.9880i | 0.321190 | − | 0.693531i | ||||
\(601\) | −5.75768 | − | 2.09562i | −0.234861 | − | 0.0854822i | 0.221909 | − | 0.975067i | \(-0.428771\pi\) |
−0.456769 | + | 0.889585i | \(0.650994\pi\) | |||||||
\(602\) | −7.21833 | − | 1.17705i | −0.294197 | − | 0.0479728i | ||||
\(603\) | −4.36740 | − | 42.4932i | −0.177854 | − | 1.73046i | ||||
\(604\) | −40.0115 | − | 13.4053i | −1.62804 | − | 0.545453i | ||||
\(605\) | 14.8007 | + | 17.6388i | 0.601734 | + | 0.717118i | ||||
\(606\) | 0.672079 | + | 10.4702i | 0.0273013 | + | 0.425324i | ||||
\(607\) | 3.21106 | − | 18.2108i | 0.130333 | − | 0.739155i | −0.847664 | − | 0.530534i | \(-0.821991\pi\) |
0.977997 | − | 0.208621i | \(-0.0668975\pi\) | |||||||
\(608\) | 37.6732 | + | 18.6248i | 1.52785 | + | 0.755334i | ||||
\(609\) | −10.9532 | − | 11.7730i | −0.443847 | − | 0.477067i | ||||
\(610\) | 2.66221 | − | 0.0343230i | 0.107790 | − | 0.00138970i | ||||
\(611\) | 22.2321 | + | 12.8357i | 0.899413 | + | 0.519276i | ||||
\(612\) | −1.27680 | − | 4.08790i | −0.0516117 | − | 0.165244i | ||||
\(613\) | −16.0146 | + | 9.24602i | −0.646823 | + | 0.373443i | −0.787238 | − | 0.616650i | \(-0.788490\pi\) |
0.140415 | + | 0.990093i | \(0.455156\pi\) | |||||||
\(614\) | −13.5090 | + | 8.03338i | −0.545178 | + | 0.324201i | ||||
\(615\) | −0.540372 | − | 10.5429i | −0.0217899 | − | 0.425133i | ||||
\(616\) | −6.32132 | − | 15.4776i | −0.254693 | − | 0.623610i | ||||
\(617\) | 29.7070 | − | 10.8125i | 1.19596 | − | 0.435294i | 0.334148 | − | 0.942521i | \(-0.391552\pi\) |
0.861813 | + | 0.507227i | \(0.169329\pi\) | |||||||
\(618\) | 26.2145 | + | 7.67920i | 1.05450 | + | 0.308903i | ||||
\(619\) | −15.2623 | + | 2.69116i | −0.613445 | + | 0.108167i | −0.471734 | − | 0.881741i | \(-0.656372\pi\) |
−0.141712 | + | 0.989908i | \(0.545261\pi\) | |||||||
\(620\) | −31.1050 | + | 6.31556i | −1.24921 | + | 0.253639i | ||||
\(621\) | 0.482579 | − | 23.0819i | 0.0193652 | − | 0.926243i | ||||
\(622\) | 12.0630 | + | 9.85987i | 0.483682 | + | 0.395345i | ||||
\(623\) | 1.26276 | + | 7.16145i | 0.0505913 | + | 0.286917i | ||||
\(624\) | −31.4895 | + | 8.96330i | −1.26059 | + | 0.358819i | ||||
\(625\) | 27.7244 | − | 10.0909i | 1.10898 | − | 0.403634i | ||||
\(626\) | −0.678441 | − | 3.57732i | −0.0271160 | − | 0.142978i | ||||
\(627\) | 30.2948 | + | 46.7676i | 1.20986 | + | 1.86772i | ||||
\(628\) | −17.5866 | − | 2.63545i | −0.701780 | − | 0.105166i | ||||
\(629\) | 0.390464 | − | 0.225434i | 0.0155688 | − | 0.00898866i | ||||
\(630\) | −16.4828 | + | 4.91588i | −0.656691 | + | 0.195853i | ||||
\(631\) | 11.8337 | − | 20.4966i | 0.471093 | − | 0.815957i | −0.528360 | − | 0.849020i | \(-0.677193\pi\) |
0.999453 | + | 0.0330630i | \(0.0105262\pi\) | |||||||
\(632\) | −4.23084 | − | 19.5420i | −0.168294 | − | 0.777341i | ||||
\(633\) | 3.90177 | − | 0.896068i | 0.155081 | − | 0.0356155i | ||||
\(634\) | −3.88062 | − | 4.50548i | −0.154119 | − | 0.178936i | ||||
\(635\) | 16.2773 | + | 2.87013i | 0.645945 | + | 0.113897i | ||||
\(636\) | −39.5599 | − | 3.87094i | −1.56865 | − | 0.153493i | ||||
\(637\) | −15.6036 | − | 18.5956i | −0.618235 | − | 0.736784i | ||||
\(638\) | −38.9546 | + | 14.7497i | −1.54223 | + | 0.583948i | ||||
\(639\) | −2.41152 | − | 0.607155i | −0.0953982 | − | 0.0240187i | ||||
\(640\) | 14.2918 | + | 30.4121i | 0.564932 | + | 1.20214i | ||||
\(641\) | −11.7394 | − | 4.27278i | −0.463677 | − | 0.168765i | 0.0996090 | − | 0.995027i | \(-0.468241\pi\) |
−0.563286 | + | 0.826262i | \(0.690463\pi\) | |||||||
\(642\) | −11.4371 | − | 26.0881i | −0.451386 | − | 1.02962i | ||||
\(643\) | 9.44368 | − | 11.2545i | 0.372422 | − | 0.443836i | −0.546985 | − | 0.837142i | \(-0.684225\pi\) |
0.919407 | + | 0.393307i | \(0.128669\pi\) | |||||||
\(644\) | 6.33353 | + | 10.3446i | 0.249576 | + | 0.407633i | ||||
\(645\) | 15.5523 | + | 11.7476i | 0.612372 | + | 0.462561i | ||||
\(646\) | −6.54232 | − | 3.66558i | −0.257404 | − | 0.144220i | ||||
\(647\) | 9.10943 | 0.358129 | 0.179064 | − | 0.983837i | \(-0.442693\pi\) | ||||
0.179064 | + | 0.983837i | \(0.442693\pi\) | |||||||
\(648\) | −21.1157 | + | 14.2172i | −0.829502 | + | 0.558503i | ||||
\(649\) | 5.41034 | 0.212375 | ||||||||
\(650\) | 22.2805 | + | 12.4834i | 0.873911 | + | 0.489641i | ||||
\(651\) | 10.0800 | + | 7.61404i | 0.395068 | + | 0.298418i | ||||
\(652\) | −30.3222 | + | 18.5650i | −1.18751 | + | 0.727060i | ||||
\(653\) | −11.0736 | + | 13.1970i | −0.433345 | + | 0.516440i | −0.937884 | − | 0.346949i | \(-0.887218\pi\) |
0.504540 | + | 0.863389i | \(0.331662\pi\) | |||||||
\(654\) | −2.09312 | − | 4.77442i | −0.0818473 | − | 0.186695i | ||||
\(655\) | 26.6994 | + | 9.71778i | 1.04323 | + | 0.379705i | ||||
\(656\) | 6.55163 | + | 4.94515i | 0.255798 | + | 0.193076i | ||||
\(657\) | −30.4674 | + | 31.4050i | −1.18865 | + | 1.22523i | ||||
\(658\) | −9.80701 | + | 3.71332i | −0.382317 | + | 0.144760i | ||||
\(659\) | −13.0287 | − | 15.5270i | −0.507525 | − | 0.604844i | 0.450059 | − | 0.892999i | \(-0.351403\pi\) |
−0.957584 | + | 0.288154i | \(0.906958\pi\) | |||||||
\(660\) | −4.33893 | + | 44.3427i | −0.168893 | + | 1.72604i | ||||
\(661\) | 28.8852 | + | 5.09323i | 1.12350 | + | 0.198104i | 0.704378 | − | 0.709825i | \(-0.251226\pi\) |
0.419125 | + | 0.907929i | \(0.362337\pi\) | |||||||
\(662\) | 0.397282 | + | 0.461253i | 0.0154408 | + | 0.0179271i | ||||
\(663\) | 5.69409 | − | 1.30769i | 0.221140 | − | 0.0507863i | ||||
\(664\) | 3.62128 | − | 0.784005i | 0.140533 | − | 0.0304253i | ||||
\(665\) | −15.0594 | + | 26.0837i | −0.583979 | + | 1.01148i | ||||
\(666\) | −1.94739 | − | 1.84112i | −0.0754599 | − | 0.0713418i | ||||
\(667\) | 26.1710 | − | 15.1099i | 1.01335 | − | 0.585056i | ||||
\(668\) | −2.04878 | + | 13.6716i | −0.0792695 | + | 0.528972i | ||||
\(669\) | 3.40728 | + | 5.25999i | 0.131733 | + | 0.203363i | ||||
\(670\) | −11.1442 | − | 58.7615i | −0.430536 | − | 2.27015i | ||||
\(671\) | −2.57934 | + | 0.938803i | −0.0995743 | + | 0.0362421i | ||||
\(672\) | 5.30562 | − | 12.2766i | 0.204669 | − | 0.473582i | ||||
\(673\) | −8.11942 | − | 46.0475i | −0.312980 | − | 1.77500i | −0.583327 | − | 0.812237i | \(-0.698249\pi\) |
0.270346 | − | 0.962763i | \(-0.412862\pi\) | |||||||
\(674\) | 16.9754 | + | 13.8751i | 0.653869 | + | 0.534450i | ||||
\(675\) | 19.4790 | + | 3.85614i | 0.749746 | + | 0.148423i | ||||
\(676\) | −3.71369 | − | 18.2904i | −0.142834 | − | 0.703478i | ||||
\(677\) | 10.5443 | − | 1.85925i | 0.405251 | − | 0.0714567i | 0.0326928 | − | 0.999465i | \(-0.489592\pi\) |
0.372558 | + | 0.928009i | \(0.378481\pi\) | |||||||
\(678\) | 41.0546 | + | 12.0264i | 1.57669 | + | 0.461871i | ||||
\(679\) | −2.54630 | + | 0.926777i | −0.0977180 | + | 0.0355664i | ||||
\(680\) | −2.26717 | − | 5.55110i | −0.0869419 | − | 0.212875i | ||||
\(681\) | 1.74744 | + | 34.0935i | 0.0669621 | + | 1.30647i | ||||
\(682\) | 28.1253 | − | 16.7252i | 1.07697 | − | 0.640442i | ||||
\(683\) | −17.0645 | + | 9.85219i | −0.652955 | + | 0.376984i | −0.789587 | − | 0.613638i | \(-0.789705\pi\) |
0.136632 | + | 0.990622i | \(0.456372\pi\) | |||||||
\(684\) | −9.76510 | + | 43.4922i | −0.373378 | + | 1.66296i | ||||
\(685\) | 9.79823 | + | 5.65701i | 0.374371 | + | 0.216143i | ||||
\(686\) | 23.4267 | − | 0.302033i | 0.894436 | − | 0.0115317i | ||||
\(687\) | 20.7267 | + | 22.2780i | 0.790775 | + | 0.849960i | ||||
\(688\) | −14.7692 | + | 3.39741i | −0.563069 | + | 0.129525i | ||||
\(689\) | 9.41599 | − | 53.4008i | 0.358721 | − | 2.03441i | ||||
\(690\) | −2.07062 | − | 32.2580i | −0.0788273 | − | 1.22804i | ||||
\(691\) | 4.57312 | + | 5.45003i | 0.173970 | + | 0.207329i | 0.845983 | − | 0.533210i | \(-0.179015\pi\) |
−0.672013 | + | 0.740539i | \(0.734570\pi\) | |||||||
\(692\) | 14.4905 | − | 43.2505i | 0.550845 | − | 1.64414i | ||||
\(693\) | 14.3701 | − | 10.3901i | 0.545876 | − | 0.394687i | ||||
\(694\) | 8.92301 | + | 1.45502i | 0.338713 | + | 0.0552317i | ||||
\(695\) | −3.53391 | − | 1.28624i | −0.134049 | − | 0.0487897i | ||||
\(696\) | −30.2354 | − | 14.0027i | −1.14607 | − | 0.530772i | ||||
\(697\) | −1.12206 | − | 0.941521i | −0.0425011 | − | 0.0356627i | ||||
\(698\) | −16.9620 | + | 48.5408i | −0.642021 | + | 1.83730i | ||||
\(699\) | 30.4249 | − | 12.8733i | 1.15077 | − | 0.486913i | ||||
\(700\) | −9.70812 | + | 3.81969i | −0.366932 | + | 0.144371i | ||||
\(701\) | − | 10.6994i | − | 0.404109i | −0.979374 | − | 0.202055i | \(-0.935238\pi\) | ||
0.979374 | − | 0.202055i | \(-0.0647618\pi\) | |||||||
\(702\) | −17.1217 | − | 30.2120i | −0.646215 | − | 1.14028i | ||||
\(703\) | −4.69275 | −0.176990 | ||||||||
\(704\) | −24.2525 | − | 24.7382i | −0.914050 | − | 0.932357i | ||||
\(705\) | 27.7337 | + | 3.43765i | 1.04451 | + | 0.129470i | ||||
\(706\) | 21.6710 | + | 7.57267i | 0.815600 | + | 0.285001i | ||||
\(707\) | 3.75811 | − | 4.47874i | 0.141338 | − | 0.168440i | ||||
\(708\) | 3.02875 | + | 3.09162i | 0.113827 | + | 0.116190i | ||||
\(709\) | −9.95367 | + | 27.3475i | −0.373818 | + | 1.02706i | 0.600054 | + | 0.799959i | \(0.295146\pi\) |
−0.973872 | + | 0.227097i | \(0.927077\pi\) | |||||||
\(710\) | −3.43639 | − | 0.560350i | −0.128965 | − | 0.0210296i | ||||
\(711\) | 19.0827 | − | 9.25295i | 0.715656 | − | 0.347013i | ||||
\(712\) | 8.03313 | + | 12.7485i | 0.301054 | + | 0.477771i | ||||
\(713\) | −18.1861 | + | 15.2600i | −0.681075 | + | 0.571490i | ||||
\(714\) | −1.05842 | + | 2.13898i | −0.0396103 | + | 0.0800494i | ||||
\(715\) | −59.8569 | − | 10.5544i | −2.23852 | − | 0.394712i | ||||
\(716\) | −0.645810 | − | 25.0415i | −0.0241351 | − | 0.935843i | ||||
\(717\) | −2.46632 | − | 0.757134i | −0.0921065 | − | 0.0282757i | ||||
\(718\) | 8.26944 | − | 0.106615i | 0.308613 | − | 0.00397885i | ||||
\(719\) | −4.95129 | + | 8.57588i | −0.184652 | + | 0.319826i | −0.943459 | − | 0.331489i | \(-0.892449\pi\) |
0.758807 | + | 0.651315i | \(0.225782\pi\) | |||||||
\(720\) | −27.7676 | + | 22.3439i | −1.03484 | + | 0.832710i | ||||
\(721\) | −7.61100 | − | 13.1826i | −0.283448 | − | 0.490947i | ||||
\(722\) | 26.1612 | + | 43.9928i | 0.973618 | + | 1.63724i | ||||
\(723\) | −3.47687 | + | 6.80437i | −0.129306 | + | 0.253057i | ||||
\(724\) | 21.6375 | + | 11.7593i | 0.804152 | + | 0.437031i | ||||
\(725\) | 8.88976 | + | 24.4244i | 0.330157 | + | 0.907100i | ||||
\(726\) | −4.48872 | − | 18.4516i | −0.166592 | − | 0.684804i | ||||
\(727\) | −4.91637 | − | 27.8821i | −0.182338 | − | 1.03409i | −0.929328 | − | 0.369255i | \(-0.879613\pi\) |
0.746990 | − | 0.664835i | \(-0.231498\pi\) | |||||||
\(728\) | 16.1412 | + | 8.50455i | 0.598233 | + | 0.315200i | ||||
\(729\) | −19.9397 | − | 18.2046i | −0.738509 | − | 0.674244i | ||||
\(730\) | −38.7707 | + | 47.4338i | −1.43497 | + | 1.75560i | ||||
\(731\) | 2.66321 | − | 0.469597i | 0.0985026 | − | 0.0173687i | ||||
\(732\) | −1.98039 | − | 0.948359i | −0.0731973 | − | 0.0350524i | ||||
\(733\) | −13.4575 | − | 36.9742i | −0.497065 | − | 1.36567i | −0.894098 | − | 0.447871i | \(-0.852182\pi\) |
0.397033 | − | 0.917804i | \(-0.370040\pi\) | |||||||
\(734\) | 5.08065 | + | 26.7895i | 0.187530 | + | 0.988819i | ||||
\(735\) | −23.5316 | − | 12.0241i | −0.867976 | − | 0.443514i | ||||
\(736\) | 20.2543 | + | 14.8819i | 0.746584 | + | 0.548556i | ||||
\(737\) | 30.8304 | + | 53.3999i | 1.13565 | + | 1.96701i | ||||
\(738\) | −3.45676 | + | 7.99071i | −0.127245 | + | 0.294142i | ||||
\(739\) | 40.7334 | + | 23.5175i | 1.49840 | + | 0.865104i | 0.999998 | − | 0.00184073i | \(-0.000585924\pi\) |
0.498405 | + | 0.866944i | \(0.333919\pi\) | |||||||
\(740\) | −2.93559 | − | 2.33698i | −0.107915 | − | 0.0859089i | ||||
\(741\) | −58.1307 | − | 17.8455i | −2.13548 | − | 0.655570i | ||||
\(742\) | 14.4554 | + | 16.7830i | 0.530675 | + | 0.616125i | ||||
\(743\) | 4.48040 | − | 25.4096i | 0.164370 | − | 0.932189i | −0.785342 | − | 0.619063i | \(-0.787513\pi\) |
0.949712 | − | 0.313126i | \(-0.101376\pi\) | |||||||
\(744\) | 25.3020 | + | 6.70867i | 0.927615 | + | 0.245952i | ||||
\(745\) | −22.7492 | + | 19.0888i | −0.833466 | + | 0.699361i | ||||
\(746\) | −3.15233 | − | 8.32542i | −0.115415 | − | 0.304815i | ||||
\(747\) | 1.71464 | + | 3.53615i | 0.0627353 | + | 0.129381i | ||||
\(748\) | 4.09442 | + | 4.63160i | 0.149707 | + | 0.169348i | ||||
\(749\) | −5.42901 | + | 14.9161i | −0.198372 | + | 0.545022i | ||||
\(750\) | −8.52176 | − | 0.944915i | −0.311171 | − | 0.0345034i | ||||
\(751\) | 27.2407 | + | 22.8576i | 0.994026 | + | 0.834087i | 0.986146 | − | 0.165882i | \(-0.0530472\pi\) |
0.00788021 | + | 0.999969i | \(0.497492\pi\) | |||||||
\(752\) | −15.9036 | + | 14.8068i | −0.579944 | + | 0.539948i | ||||
\(753\) | 46.6225 | + | 5.77897i | 1.69902 | + | 0.210598i | ||||
\(754\) | 22.2182 | − | 39.6551i | 0.809140 | − | 1.44415i | ||||
\(755\) | − | 62.6652i | − | 2.28062i | ||||||
\(756\) | 13.9817 | + | 2.39506i | 0.508509 | + | 0.0871075i | ||||
\(757\) | − | 4.81926i | − | 0.175159i | −0.996158 | − | 0.0875795i | \(-0.972087\pi\) | ||
0.996158 | − | 0.0875795i | \(-0.0279132\pi\) | |||||||
\(758\) | 21.2761 | + | 11.9207i | 0.772782 | + | 0.432979i | ||||
\(759\) | 12.9860 | + | 30.6911i | 0.471360 | + | 1.11402i | ||||
\(760\) | −8.45280 | + | 61.8351i | −0.306615 | + | 2.24299i | ||||
\(761\) | 5.92907 | + | 4.97508i | 0.214929 | + | 0.180347i | 0.743896 | − | 0.668296i | \(-0.232976\pi\) |
−0.528967 | + | 0.848642i | \(0.677420\pi\) | |||||||
\(762\) | −10.9820 | − | 8.07510i | −0.397835 | − | 0.292530i | ||||
\(763\) | −0.993570 | + | 2.72981i | −0.0359697 | + | 0.0988258i | ||||
\(764\) | 0.611294 | − | 0.540396i | 0.0221158 | − | 0.0195508i | ||||
\(765\) | 5.15390 | − | 3.72644i | 0.186340 | − | 0.134730i | ||||
\(766\) | −35.4989 | + | 13.4413i | −1.28263 | + | 0.485653i | ||||
\(767\) | −4.52284 | + | 3.79511i | −0.163310 | + | 0.137033i | ||||
\(768\) | 0.559419 | − | 27.7072i | 0.0201863 | − | 0.999796i | ||||
\(769\) | −5.50477 | + | 31.2191i | −0.198507 | + | 1.12579i | 0.708828 | + | 0.705382i | \(0.249224\pi\) |
−0.907335 | + | 0.420409i | \(0.861887\pi\) | |||||||
\(770\) | 18.8121 | − | 16.2031i | 0.677941 | − | 0.583918i | ||||
\(771\) | −20.1203 | + | 18.7192i | −0.724613 | + | 0.674156i | ||||
\(772\) | −34.4297 | − | 27.4089i | −1.23915 | − | 0.986468i | ||||
\(773\) | −27.4650 | − | 15.8569i | −0.987847 | − | 0.570334i | −0.0832173 | − | 0.996531i | \(-0.526520\pi\) |
−0.904630 | + | 0.426197i | \(0.859853\pi\) | |||||||
\(774\) | −7.19907 | − | 14.3719i | −0.258765 | − | 0.516588i | ||||
\(775\) | −10.2095 | − | 17.6833i | −0.366735 | − | 0.635204i | ||||
\(776\) | −4.15848 | + | 3.77279i | −0.149281 | + | 0.135435i | ||||
\(777\) | 0.0764429 | + | 1.49144i | 0.00274238 | + | 0.0535052i | ||||
\(778\) | −21.9808 | + | 4.16868i | −0.788050 | + | 0.149454i | ||||
\(779\) | 5.21424 | + | 14.3260i | 0.186820 | + | 0.513283i | ||||
\(780\) | −27.4772 | − | 40.1123i | −0.983842 | − | 1.43625i | ||||
\(781\) | 3.53506 | − | 0.623327i | 0.126494 | − | 0.0223044i | ||||
\(782\) | −3.47258 | − | 2.83836i | −0.124179 | − | 0.101500i | ||||
\(783\) | 6.86321 | − | 34.6690i | 0.245271 | − | 1.23897i | ||||
\(784\) | 18.9202 | − | 8.01347i | 0.675722 | − | 0.286196i | ||||
\(785\) | −4.58579 | − | 26.0073i | −0.163674 | − | 0.928241i | ||||
\(786\) | −16.1811 | − | 16.9487i | −0.577161 | − | 0.604540i | ||||
\(787\) | −2.68876 | − | 7.38730i | −0.0958438 | − | 0.263329i | 0.882501 | − | 0.470311i | \(-0.155858\pi\) |
−0.978345 | + | 0.206982i | \(0.933636\pi\) | |||||||
\(788\) | 36.6071 | + | 19.8948i | 1.30407 | + | 0.708723i | ||||
\(789\) | 1.51631 | + | 2.34081i | 0.0539822 | + | 0.0833350i | ||||
\(790\) | 25.5216 | − | 15.1769i | 0.908016 | − | 0.539969i | ||||
\(791\) | −11.9196 | − | 20.6453i | −0.423812 | − | 0.734063i | ||||
\(792\) | 19.4260 | − | 31.1899i | 0.690273 | − | 1.10829i | ||||
\(793\) | 1.49770 | − | 2.59409i | 0.0531849 | − | 0.0921189i | ||||
\(794\) | −0.660178 | − | 51.2057i | −0.0234288 | − | 1.81722i | ||||
\(795\) | −13.2125 | − | 57.5313i | −0.468598 | − | 2.04043i | ||||
\(796\) | 6.13752 | − | 0.158284i | 0.217539 | − | 0.00561024i | ||||
\(797\) | −34.5495 | − | 6.09202i | −1.22381 | − | 0.215790i | −0.475844 | − | 0.879530i | \(-0.657857\pi\) |
−0.747964 | + | 0.663740i | \(0.768968\pi\) | |||||||
\(798\) | 20.6719 | − | 13.7722i | 0.731776 | − | 0.487531i | ||||
\(799\) | 2.97032 | − | 2.49239i | 0.105082 | − | 0.0881746i | ||||
\(800\) | −15.6305 | + | 14.9334i | −0.552623 | + | 0.527974i | ||||
\(801\) | −11.1287 | + | 11.4712i | −0.393215 | + | 0.405316i | ||||
\(802\) | 7.24867 | − | 44.4530i | 0.255959 | − | 1.56969i | ||||
\(803\) | 21.6019 | − | 59.3509i | 0.762316 | − | 2.09445i | ||||
\(804\) | −13.2551 | + | 47.5110i | −0.467472 | + | 1.67558i | ||||
\(805\) | −11.5784 | + | 13.7986i | −0.408086 | + | 0.486338i | ||||
\(806\) | −11.7796 | + | 33.7102i | −0.414920 | + | 1.18739i | ||||
\(807\) | 3.08866 | − | 4.08899i | 0.108726 | − | 0.143939i | ||||
\(808\) | 3.70024 | − | 11.5360i | 0.130174 | − | 0.405834i | ||||
\(809\) | 42.6190 | 1.49840 | 0.749202 | − | 0.662341i | \(-0.230437\pi\) | ||||
0.749202 | + | 0.662341i | \(0.230437\pi\) | |||||||
\(810\) | −29.9812 | − | 23.0262i | −1.05343 | − | 0.809058i | ||||
\(811\) | 40.0596i | 1.40668i | 0.710852 | + | 0.703341i | \(0.248309\pi\) | ||||
−0.710852 | + | 0.703341i | \(0.751691\pi\) | |||||||
\(812\) | 6.79834 | + | 17.2787i | 0.238575 | + | 0.606362i | ||||
\(813\) | 8.62077 | + | 6.51178i | 0.302344 | + | 0.228378i | ||||
\(814\) | 3.65187 | + | 1.27610i | 0.127998 | + | 0.0447274i | ||||
\(815\) | −40.4468 | − | 33.9389i | −1.41679 | − | 1.18883i | ||||
\(816\) | −0.354540 | + | 4.93246i | −0.0124114 | + | 0.172671i | ||||
\(817\) | −26.4495 | − | 9.62683i | −0.925351 | − | 0.336800i | ||||
\(818\) | 3.75775 | − | 23.0447i | 0.131387 | − | 0.805739i | ||||
\(819\) | −4.72470 | + | 18.7657i | −0.165094 | + | 0.655727i | ||||
\(820\) | −3.87250 | + | 11.5585i | −0.135233 | + | 0.403639i | ||||
\(821\) | 1.07655 | + | 1.28299i | 0.0375720 | + | 0.0447766i | 0.784503 | − | 0.620125i | \(-0.212918\pi\) |
−0.746931 | + | 0.664901i | \(0.768474\pi\) | |||||||
\(822\) | −5.17349 | − | 7.76531i | −0.180446 | − | 0.270846i | ||||
\(823\) | 0.234450 | − | 1.32963i | 0.00817242 | − | 0.0463481i | −0.980449 | − | 0.196774i | \(-0.936953\pi\) |
0.988621 | + | 0.150426i | \(0.0480645\pi\) | |||||||
\(824\) | −24.9284 | − | 19.3254i | −0.868423 | − | 0.673231i | ||||
\(825\) | −27.9358 | + | 6.41565i | −0.972600 | + | 0.223364i | ||||
\(826\) | −0.0310917 | − | 2.41158i | −0.00108182 | − | 0.0839096i | ||||
\(827\) | 10.0199 | + | 5.78501i | 0.348427 | + | 0.201165i | 0.663992 | − | 0.747739i | \(-0.268861\pi\) |
−0.315565 | + | 0.948904i | \(0.602194\pi\) | |||||||
\(828\) | −10.2681 | + | 24.6016i | −0.356842 | + | 0.854965i | ||||
\(829\) | 34.1730 | − | 19.7298i | 1.18688 | − | 0.685243i | 0.229281 | − | 0.973360i | \(-0.426363\pi\) |
0.957595 | + | 0.288117i | \(0.0930292\pi\) | |||||||
\(830\) | 2.81239 | + | 4.72933i | 0.0976193 | + | 0.164157i | ||||
\(831\) | 33.9159 | − | 21.9698i | 1.17653 | − | 0.762124i | ||||
\(832\) | 37.6269 | + | 3.66818i | 1.30448 | + | 0.127171i | ||||
\(833\) | −3.44542 | + | 1.25403i | −0.119377 | + | 0.0434496i | ||||
\(834\) | 2.14172 | + | 2.24331i | 0.0741616 | + | 0.0776796i | ||||
\(835\) | −20.2179 | + | 3.56496i | −0.699668 | + | 0.123370i | ||||
\(836\) | −12.8029 | − | 63.0561i | −0.442798 | − | 2.18084i | ||||
\(837\) | −0.580345 | + | 27.7580i | −0.0200596 | + | 0.959458i | ||||
\(838\) | 16.5011 | − | 20.1882i | 0.570022 | − | 0.697390i | ||||
\(839\) | −6.51330 | − | 36.9388i | −0.224864 | − | 1.27527i | −0.862945 | − | 0.505299i | \(-0.831382\pi\) |
0.638080 | − | 0.769970i | \(-0.279729\pi\) | |||||||
\(840\) | 19.7900 | + | 1.67919i | 0.682821 | + | 0.0579375i | ||||
\(841\) | 16.2198 | − | 5.90354i | 0.559305 | − | 0.203570i | ||||
\(842\) | 13.6816 | − | 2.59473i | 0.471499 | − | 0.0894202i | ||||
\(843\) | −12.5057 | + | 0.640971i | −0.430718 | + | 0.0220762i | ||||
\(844\) | −4.57161 | − | 0.685083i | −0.157361 | − | 0.0235815i | ||||
\(845\) | 24.0031 | − | 13.8582i | 0.825732 | − | 0.476737i | ||||
\(846\) | −19.2426 | − | 12.6849i | −0.661576 | − | 0.436116i | ||||
\(847\) | −5.29105 | + | 9.16436i | −0.181803 | + | 0.314891i | ||||
\(848\) | 40.8789 | + | 20.8696i | 1.40379 | + | 0.716667i | ||||
\(849\) | 1.60906 | + | 1.72949i | 0.0552228 | + | 0.0593559i | ||||
\(850\) | 2.92283 | − | 2.51746i | 0.100252 | − | 0.0863482i | ||||
\(851\) | −2.76390 | − | 0.487351i | −0.0947454 | − | 0.0167062i | ||||
\(852\) | 2.33514 | + | 1.67109i | 0.0800005 | + | 0.0572506i | ||||
\(853\) | 16.8181 | + | 20.0430i | 0.575840 | + | 0.686260i | 0.972819 | − | 0.231568i | \(-0.0743856\pi\) |
−0.396978 | + | 0.917828i | \(0.629941\pi\) | |||||||
\(854\) | 0.433280 | + | 1.14431i | 0.0148265 | + | 0.0391574i | ||||
\(855\) | −65.8491 | + | 6.76789i | −2.25199 | + | 0.231457i | ||||
\(856\) | 1.27180 | + | 32.8671i | 0.0434692 | + | 1.12337i | ||||
\(857\) | −19.6602 | − | 7.15571i | −0.671578 | − | 0.244434i | −0.0163509 | − | 0.999866i | \(-0.505205\pi\) |
−0.655227 | + | 0.755432i | \(0.727427\pi\) | |||||||
\(858\) | 40.3843 | + | 29.6948i | 1.37870 | + | 1.01376i | ||||
\(859\) | 18.2371 | − | 21.7341i | 0.622241 | − | 0.741558i | −0.359213 | − | 0.933256i | \(-0.616955\pi\) |
0.981454 | + | 0.191698i | \(0.0613993\pi\) | |||||||
\(860\) | −11.7516 | − | 19.1939i | −0.400727 | − | 0.654508i | ||||
\(861\) | 4.46814 | − | 1.89055i | 0.152274 | − | 0.0644297i | ||||
\(862\) | −3.87752 | + | 6.92060i | −0.132069 | + | 0.235716i | ||||
\(863\) | −37.5798 | −1.27923 | −0.639616 | − | 0.768694i | \(-0.720907\pi\) | ||||
−0.639616 | + | 0.768694i | \(0.720907\pi\) | |||||||
\(864\) | 28.6976 | − | 6.35977i | 0.976313 | − | 0.216364i | ||||
\(865\) | 67.7381 | 2.30316 | ||||||||
\(866\) | 15.0557 | − | 26.8714i | 0.511614 | − | 0.913129i | ||||
\(867\) | −3.51349 | + | 28.3455i | −0.119324 | + | 0.962664i | ||||
\(868\) | −7.61665 | − | 12.4403i | −0.258526 | − | 0.422251i | ||||
\(869\) | −19.6775 | + | 23.4507i | −0.667512 | + | 0.795510i | ||||
\(870\) | 5.45334 | − | 49.1812i | 0.184885 | − | 1.66740i | ||||
\(871\) | −63.2307 | − | 23.0141i | −2.14249 | − | 0.779802i | ||||
\(872\) | 0.232753 | + | 6.01505i | 0.00788203 | + | 0.203695i | ||||
\(873\) | −4.92964 | − | 3.34161i | −0.166843 | − | 0.113096i | ||||
\(874\) | 16.5299 | + | 43.6561i | 0.559134 | + | 1.47669i | ||||
\(875\) | 3.07116 | + | 3.66007i | 0.103824 | + | 0.123733i | ||||
\(876\) | 46.0077 | − | 20.8810i | 1.55445 | − | 0.705505i | ||||
\(877\) | −23.8777 | − | 4.21027i | −0.806291 | − | 0.142171i | −0.244714 | − | 0.969595i | \(-0.578694\pi\) |
−0.561577 | + | 0.827424i | \(0.689805\pi\) | |||||||
\(878\) | −16.2383 | + | 13.9862i | −0.548018 | + | 0.472013i | ||||
\(879\) | −7.44943 | + | 24.2661i | −0.251263 | + | 0.818476i | ||||
\(880\) | 23.3928 | − | 45.8212i | 0.788571 | − | 1.54463i | ||||
\(881\) | −15.8494 | + | 27.4519i | −0.533980 | + | 0.924880i | 0.465232 | + | 0.885189i | \(0.345971\pi\) |
−0.999212 | + | 0.0396911i | \(0.987363\pi\) | |||||||
\(882\) | 12.9960 | + | 17.4948i | 0.437599 | + | 0.589080i | ||||
\(883\) | −19.1513 | + | 11.0570i | −0.644492 | + | 0.372098i | −0.786343 | − | 0.617790i | \(-0.788028\pi\) |
0.141851 | + | 0.989888i | \(0.454695\pi\) | |||||||
\(884\) | −6.67163 | − | 0.999783i | −0.224391 | − | 0.0336263i | ||||
\(885\) | −2.92450 | + | 5.72337i | −0.0983061 | + | 0.192389i | ||||
\(886\) | −14.5097 | + | 2.75177i | −0.487461 | + | 0.0924474i | ||||
\(887\) | 0.923934 | − | 0.336285i | 0.0310227 | − | 0.0112913i | −0.326462 | − | 0.945210i | \(-0.605857\pi\) |
0.357485 | + | 0.933919i | \(0.383634\pi\) | |||||||
\(888\) | 1.31514 | + | 2.80115i | 0.0441333 | + | 0.0940005i | ||||
\(889\) | 1.31904 | + | 7.48065i | 0.0442392 | + | 0.250893i | ||||
\(890\) | −14.1617 | + | 17.3260i | −0.474700 | + | 0.580769i | ||||
\(891\) | 37.0105 | + | 12.2140i | 1.23990 | + | 0.409184i | ||||
\(892\) | −1.43995 | − | 7.09197i | −0.0482132 | − | 0.237457i | ||||
\(893\) | −39.7446 | + | 7.00804i | −1.33000 | + | 0.234515i | ||||
\(894\) | 23.7975 | − | 5.78922i | 0.795909 | − | 0.193621i | ||||
\(895\) | 34.9567 | − | 12.7232i | 1.16847 | − | 0.425290i | ||||
\(896\) | −10.8873 | + | 10.9523i | −0.363720 | + | 0.365892i | ||||
\(897\) | −32.3842 | − | 16.5475i | −1.08128 | − | 0.552505i | ||||
\(898\) | −19.5091 | − | 32.8067i | −0.651028 | − | 1.09477i | ||||
\(899\) | −31.4731 | + | 18.1710i | −1.04969 | + | 0.606036i | ||||
\(900\) | −19.3047 | − | 12.3718i | −0.643491 | − | 0.412393i | ||||
\(901\) | −7.09295 | − | 4.09512i | −0.236300 | − | 0.136428i | ||||
\(902\) | −0.162014 | − | 12.5664i | −0.00539447 | − | 0.418414i | ||||
\(903\) | −2.62873 | + | 8.56296i | −0.0874788 | + | 0.284958i | ||||
\(904\) | −39.0404 | − | 30.2654i | −1.29846 | − | 1.00661i | ||||
\(905\) | −6.35058 | + | 36.0159i | −0.211100 | + | 1.19721i | ||||
\(906\) | −22.9204 | + | 46.3205i | −0.761480 | + | 1.53889i | ||||
\(907\) | −26.0101 | − | 30.9976i | −0.863651 | − | 1.02926i | −0.999259 | − | 0.0384971i | \(-0.987743\pi\) |
0.135607 | − | 0.990763i | \(-0.456701\pi\) | |||||||
\(908\) | 12.5228 | − | 37.3775i | 0.415583 | − | 1.24041i | ||||
\(909\) | 12.8164 | + | 0.925842i | 0.425092 | + | 0.0307082i | ||||
\(910\) | −4.36048 | + | 26.7410i | −0.144548 | + | 0.886454i | ||||
\(911\) | 28.6333 | + | 10.4217i | 0.948664 | + | 0.345286i | 0.769582 | − | 0.638548i | \(-0.220465\pi\) |
0.179083 | + | 0.983834i | \(0.442687\pi\) | |||||||
\(912\) | 28.8649 | − | 42.6152i | 0.955812 | − | 1.41113i | ||||
\(913\) | −4.34558 | − | 3.64637i | −0.143818 | − | 0.120677i | ||||
\(914\) | −38.9507 | − | 13.6109i | −1.28838 | − | 0.450207i | ||||
\(915\) | 0.401114 | − | 3.23603i | 0.0132604 | − | 0.106980i | ||||
\(916\) | −12.8645 | − | 32.6963i | −0.425054 | − | 1.08032i | ||||
\(917\) | 13.0579i | 0.431209i | ||||||||
\(918\) | −5.17261 | + | 0.869398i | −0.170722 | + | 0.0286944i | ||||
\(919\) | −28.9703 | −0.955641 | −0.477820 | − | 0.878458i | \(-0.658573\pi\) | ||||
−0.477820 | + | 0.878458i | \(0.658573\pi\) | |||||||
\(920\) | −11.4002 | + | 35.5414i | −0.375852 | + | 1.17177i | ||||
\(921\) | 7.50098 | + | 17.7279i | 0.247166 | + | 0.584153i | ||||
\(922\) | 1.98952 | − | 5.69349i | 0.0655214 | − | 0.187505i | ||||
\(923\) | −2.51794 | + | 3.00076i | −0.0828789 | + | 0.0987713i | ||||
\(924\) | −19.8318 | + | 5.09616i | −0.652420 | + | 0.167651i | ||||
\(925\) | 0.825603 | − | 2.26832i | 0.0271456 | − | 0.0745821i | ||||
\(926\) | 6.39933 | − | 39.2444i | 0.210295 | − | 1.28965i | ||||
\(927\) | 13.6778 | − | 30.5316i | 0.449237 | − | 1.00279i | ||||
\(928\) | 26.5786 | + | 27.8195i | 0.872486 | + | 0.913219i | ||||
\(929\) | −21.4798 | + | 18.0237i | −0.704730 | + | 0.591338i | −0.923115 | − | 0.384524i | \(-0.874366\pi\) |
0.218385 | + | 0.975863i | \(0.429921\pi\) | |||||||
\(930\) | 2.49011 | + | 38.7932i | 0.0816540 | + | 1.27208i | ||||
\(931\) | 37.5824 | + | 6.62680i | 1.23171 | + | 0.217185i | ||||
\(932\) | −38.1343 | + | 0.983471i | −1.24913 | + | 0.0322147i | ||||
\(933\) | 13.9702 | − | 12.9974i | 0.457364 | − | 0.425516i | ||||
\(934\) | −0.123515 | − | 9.58023i | −0.00404153 | − | 0.313475i | ||||
\(935\) | −4.59022 | + | 7.95049i | −0.150116 | + | 0.260009i | ||||
\(936\) | 5.63895 | + | 39.7000i | 0.184315 | + | 1.29764i | ||||
\(937\) | −10.0264 | − | 17.3662i | −0.327548 | − | 0.567329i | 0.654477 | − | 0.756082i | \(-0.272889\pi\) |
−0.982025 | + | 0.188753i | \(0.939556\pi\) | |||||||
\(938\) | 23.6250 | − | 14.0491i | 0.771385 | − | 0.458719i | ||||
\(939\) | −4.45355 | + | 0.228264i | −0.145336 | + | 0.00744912i | ||||
\(940\) | −28.3526 | − | 15.4087i | −0.924760 | − | 0.502578i | ||||
\(941\) | −7.11484 | − | 19.5479i | −0.231937 | − | 0.637242i | 0.768058 | − | 0.640380i | \(-0.221223\pi\) |
−0.999995 | + | 0.00313816i | \(0.999001\pi\) | |||||||
\(942\) | −6.12274 | + | 20.9012i | −0.199490 | + | 0.680999i | ||||
\(943\) | 1.58327 | + | 8.97916i | 0.0515583 | + | 0.292402i | ||||
\(944\) | −1.94904 | − | 4.60179i | −0.0634360 | − | 0.149775i | ||||
\(945\) | 3.22361 | + | 20.8178i | 0.104864 | + | 0.677203i | ||||
\(946\) | 17.9650 | + | 14.6840i | 0.584094 | + | 0.477418i | ||||
\(947\) | 31.3017 | − | 5.51933i | 1.01717 | − | 0.179354i | 0.359884 | − | 0.932997i | \(-0.382816\pi\) |
0.657284 | + | 0.753643i | \(0.271705\pi\) | |||||||
\(948\) | −24.4160 | + | 1.88359i | −0.792993 | + | 0.0611763i | ||||
\(949\) | 23.5735 | + | 64.7678i | 0.765230 | + | 2.10245i | ||||
\(950\) | −39.4469 | + | 7.48114i | −1.27983 | + | 0.242720i | ||||
\(951\) | −6.11235 | + | 3.95942i | −0.198207 | + | 0.128393i | ||||
\(952\) | 2.04093 | − | 1.85164i | 0.0661471 | − | 0.0600121i | ||||
\(953\) | −6.86849 | − | 11.8966i | −0.222492 | − | 0.385368i | 0.733072 | − | 0.680151i | \(-0.238086\pi\) |
−0.955564 | + | 0.294783i | \(0.904753\pi\) | |||||||
\(954\) | −11.2763 | + | 47.3582i | −0.365085 | + | 1.53328i | ||||
\(955\) | 1.04933 | + | 0.605833i | 0.0339556 | + | 0.0196043i | ||||
\(956\) | 2.33069 | + | 1.85542i | 0.0753798 | + | 0.0600085i | ||||
\(957\) | 11.4187 | + | 49.7206i | 0.369113 | + | 1.60724i | ||||
\(958\) | 37.6994 | − | 32.4709i | 1.21801 | − | 1.04909i | ||||
\(959\) | −0.902910 | + | 5.12065i | −0.0291565 | + | 0.165355i | ||||
\(960\) | 39.2789 | − | 12.2837i | 1.26772 | − | 0.396455i | ||||
\(961\) | −1.87694 | + | 1.57494i | −0.0605465 | + | 0.0508046i | ||||
\(962\) | −3.94795 | + | 1.49485i | −0.127287 | + | 0.0481959i | ||||
\(963\) | −33.5575 | + | 9.53896i | −1.08137 | + | 0.307389i | ||||
\(964\) | 6.61058 | − | 5.84388i | 0.212913 | − | 0.188219i | ||||
\(965\) | 22.3521 | − | 61.4119i | 0.719539 | − | 1.97692i | ||||
\(966\) | 13.6055 | − | 5.96466i | 0.437749 | − | 0.191910i | ||||
\(967\) | 10.5560 | + | 8.85755i | 0.339458 | + | 0.284839i | 0.796541 | − | 0.604585i | \(-0.206661\pi\) |
−0.457082 | + | 0.889424i | \(0.651105\pi\) | |||||||
\(968\) | −2.96985 | + | 21.7254i | −0.0954545 | + | 0.698282i | ||||
\(969\) | −5.53589 | + | 7.32882i | −0.177838 | + | 0.235436i | ||||
\(970\) | −7.27439 | − | 4.07575i | −0.233567 | − | 0.130864i | ||||
\(971\) | 1.88573i | 0.0605161i | 0.999542 | + | 0.0302580i | \(0.00963290\pi\) | ||||
−0.999542 | + | 0.0302580i | \(0.990367\pi\) | |||||||
\(972\) | 13.7393 | + | 27.9863i | 0.440688 | + | 0.897660i | ||||
\(973\) | − | 1.72833i | − | 0.0554077i | ||||||
\(974\) | 4.64118 | − | 8.28358i | 0.148713 | − | 0.265423i | ||||
\(975\) | 18.8530 | − | 24.9589i | 0.603778 | − | 0.799326i | ||||
\(976\) | 1.72769 | + | 1.85567i | 0.0553021 | + | 0.0593985i | ||||
\(977\) | −19.2464 | − | 16.1496i | −0.615746 | − | 0.516672i | 0.280717 | − | 0.959790i | \(-0.409428\pi\) |
−0.896463 | + | 0.443119i | \(0.853872\pi\) | |||||||
\(978\) | 17.4837 | + | 39.8806i | 0.559068 | + | 1.27524i | ||||
\(979\) | 7.89048 | − | 21.6789i | 0.252181 | − | 0.692861i | ||||
\(980\) | 20.2099 | + | 22.8614i | 0.645583 | + | 0.730281i | ||||
\(981\) | −6.14140 | + | 1.74574i | −0.196080 | + | 0.0557371i | ||||
\(982\) | −2.22621 | − | 5.87949i | −0.0710412 | − | 0.187622i | ||||
\(983\) | −38.8553 | + | 32.6035i | −1.23929 | + | 1.03989i | −0.241714 | + | 0.970348i | \(0.577710\pi\) |
−0.997579 | + | 0.0695429i | \(0.977846\pi\) | |||||||
\(984\) | 7.09007 | − | 7.12731i | 0.226023 | − | 0.227210i | ||||
\(985\) | −10.7441 | + | 60.9330i | −0.342336 | + | 1.94149i | ||||
\(986\) | −4.48061 | − | 5.20209i | −0.142692 | − | 0.165668i | ||||
\(987\) | 2.87471 | + | 12.5174i | 0.0915030 | + | 0.398433i | ||||
\(988\) | 54.9337 | + | 43.7318i | 1.74767 | + | 1.39129i | ||||
\(989\) | −14.5783 | − | 8.41679i | −0.463563 | − | 0.267638i | ||||
\(990\) | 53.0838 | + | 12.6397i | 1.68711 | + | 0.401715i | ||||
\(991\) | −16.9675 | − | 29.3886i | −0.538991 | − | 0.933559i | −0.998959 | − | 0.0456239i | \(-0.985472\pi\) |
0.459968 | − | 0.887936i | \(-0.347861\pi\) | |||||||
\(992\) | −24.3577 | − | 17.8969i | −0.773357 | − | 0.568227i | ||||
\(993\) | 0.625758 | − | 0.405350i | 0.0198578 | − | 0.0128634i | ||||
\(994\) | −0.298153 | − | 1.57212i | −0.00945685 | − | 0.0498646i | ||||
\(995\) | 3.11838 | + | 8.56769i | 0.0988594 | + | 0.271614i | ||||
\(996\) | −0.349043 | − | 4.52445i | −0.0110599 | − | 0.143363i | ||||
\(997\) | −14.9293 | + | 2.63244i | −0.472817 | + | 0.0833703i | −0.404979 | − | 0.914326i | \(-0.632721\pi\) |
−0.0678377 | + | 0.997696i | \(0.521610\pi\) | |||||||
\(998\) | 17.8590 | − | 21.8494i | 0.565316 | − | 0.691632i | ||||
\(999\) | −2.55789 | + | 2.05676i | −0.0809280 | + | 0.0650731i |
(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 | 216.2.t.a.13.11 | ✓ | 204 | |
3.2 | odd | 2 | 648.2.t.a.253.24 | 204 | |||
4.3 | odd | 2 | 864.2.bf.a.337.7 | 204 | |||
8.3 | odd | 2 | 864.2.bf.a.337.28 | 204 | |||
8.5 | even | 2 | inner | 216.2.t.a.13.27 | yes | 204 | |
24.5 | odd | 2 | 648.2.t.a.253.8 | 204 | |||
27.2 | odd | 18 | 648.2.t.a.397.8 | 204 | |||
27.25 | even | 9 | inner | 216.2.t.a.133.27 | yes | 204 | |
108.79 | odd | 18 | 864.2.bf.a.241.28 | 204 | |||
216.29 | odd | 18 | 648.2.t.a.397.24 | 204 | |||
216.133 | even | 18 | inner | 216.2.t.a.133.11 | yes | 204 | |
216.187 | odd | 18 | 864.2.bf.a.241.7 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.t.a.13.11 | ✓ | 204 | 1.1 | even | 1 | trivial | |
216.2.t.a.13.27 | yes | 204 | 8.5 | even | 2 | inner | |
216.2.t.a.133.11 | yes | 204 | 216.133 | even | 18 | inner | |
216.2.t.a.133.27 | yes | 204 | 27.25 | even | 9 | inner | |
648.2.t.a.253.8 | 204 | 24.5 | odd | 2 | |||
648.2.t.a.253.24 | 204 | 3.2 | odd | 2 | |||
648.2.t.a.397.8 | 204 | 27.2 | odd | 18 | |||
648.2.t.a.397.24 | 204 | 216.29 | odd | 18 | |||
864.2.bf.a.241.7 | 204 | 216.187 | odd | 18 | |||
864.2.bf.a.241.28 | 204 | 108.79 | odd | 18 | |||
864.2.bf.a.337.7 | 204 | 4.3 | odd | 2 | |||
864.2.bf.a.337.28 | 204 | 8.3 | odd | 2 |