Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,3,Mod(2,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.f (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.681200660901\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 25.3 |
Dual form | 25.3.f.a.17.2 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.395527 | − | 0.776265i | −0.197763 | − | 0.388132i | 0.770734 | − | 0.637157i | \(-0.219890\pi\) |
−0.968497 | + | 0.249025i | \(0.919890\pi\) | |||||||
\(3\) | −0.296456 | − | 1.87175i | −0.0988188 | − | 0.623917i | −0.986538 | − | 0.163532i | \(-0.947711\pi\) |
0.887719 | − | 0.460385i | \(-0.152289\pi\) | |||||||
\(4\) | 1.90500 | − | 2.62200i | 0.476249 | − | 0.655500i | ||||
\(5\) | 1.22928 | + | 4.84653i | 0.245856 | + | 0.969306i | ||||
\(6\) | −1.33572 | + | 0.970456i | −0.222620 | + | 0.161743i | ||||
\(7\) | −5.60844 | + | 5.60844i | −0.801205 | + | 0.801205i | −0.983284 | − | 0.182079i | \(-0.941717\pi\) |
0.182079 | + | 0.983284i | \(0.441717\pi\) | |||||||
\(8\) | −6.23083 | − | 0.986866i | −0.778854 | − | 0.123358i | ||||
\(9\) | 5.14394 | − | 1.67137i | 0.571549 | − | 0.185708i | ||||
\(10\) | 3.27598 | − | 2.87118i | 0.327598 | − | 0.287118i | ||||
\(11\) | −4.46912 | + | 13.7545i | −0.406284 | + | 1.25041i | 0.513534 | + | 0.858069i | \(0.328336\pi\) |
−0.919818 | + | 0.392345i | \(0.871664\pi\) | |||||||
\(12\) | −5.47248 | − | 2.78837i | −0.456040 | − | 0.232364i | ||||
\(13\) | 5.52703 | − | 10.8474i | 0.425156 | − | 0.834416i | −0.574715 | − | 0.818354i | \(-0.694887\pi\) |
0.999871 | − | 0.0160623i | \(-0.00511299\pi\) | |||||||
\(14\) | 6.57192 | + | 2.13535i | 0.469423 | + | 0.152525i | ||||
\(15\) | 8.70708 | − | 3.73769i | 0.580472 | − | 0.249179i | ||||
\(16\) | −2.30767 | − | 7.10228i | −0.144229 | − | 0.443893i | ||||
\(17\) | 0.147755 | − | 0.932886i | 0.00869145 | − | 0.0548757i | −0.982961 | − | 0.183812i | \(-0.941156\pi\) |
0.991653 | + | 0.128936i | \(0.0411563\pi\) | |||||||
\(18\) | −3.33199 | − | 3.33199i | −0.185111 | − | 0.185111i | ||||
\(19\) | −11.5466 | − | 15.8926i | −0.607718 | − | 0.836452i | 0.388669 | − | 0.921377i | \(-0.372935\pi\) |
−0.996387 | + | 0.0849253i | \(0.972935\pi\) | |||||||
\(20\) | 15.0494 | + | 6.00945i | 0.752469 | + | 0.300472i | ||||
\(21\) | 12.1603 | + | 8.83494i | 0.579060 | + | 0.420712i | ||||
\(22\) | 12.4448 | − | 1.97107i | 0.565674 | − | 0.0895940i | ||||
\(23\) | −4.69757 | + | 2.39353i | −0.204242 | + | 0.104067i | −0.553120 | − | 0.833102i | \(-0.686563\pi\) |
0.348878 | + | 0.937168i | \(0.386563\pi\) | |||||||
\(24\) | 11.9551i | 0.498130i | ||||||||
\(25\) | −21.9777 | + | 11.9155i | −0.879110 | + | 0.476619i | ||||
\(26\) | −10.6066 | −0.407944 | ||||||||
\(27\) | −12.3965 | − | 24.3295i | −0.459129 | − | 0.901092i | ||||
\(28\) | 4.02128 | + | 25.3894i | 0.143617 | + | 0.906763i | ||||
\(29\) | −7.87983 | + | 10.8457i | −0.271718 | + | 0.373988i | −0.922969 | − | 0.384875i | \(-0.874245\pi\) |
0.651251 | + | 0.758863i | \(0.274245\pi\) | |||||||
\(30\) | −6.34532 | − | 5.28064i | −0.211511 | − | 0.176021i | ||||
\(31\) | 12.1549 | − | 8.83105i | 0.392093 | − | 0.284873i | −0.374219 | − | 0.927340i | \(-0.622089\pi\) |
0.766313 | + | 0.642468i | \(0.222089\pi\) | |||||||
\(32\) | −22.4436 | + | 22.4436i | −0.701363 | + | 0.701363i | ||||
\(33\) | 27.0700 | + | 4.28747i | 0.820303 | + | 0.129923i | ||||
\(34\) | −0.782608 | + | 0.254285i | −0.0230179 | + | 0.00747896i | ||||
\(35\) | −34.0758 | − | 20.2871i | −0.973594 | − | 0.579632i | ||||
\(36\) | 5.41686 | − | 16.6714i | 0.150468 | − | 0.463094i | ||||
\(37\) | 57.7042 | + | 29.4017i | 1.55957 | + | 0.794642i | 0.999430 | − | 0.0337547i | \(-0.0107465\pi\) |
0.560142 | + | 0.828396i | \(0.310746\pi\) | |||||||
\(38\) | −7.76985 | + | 15.2492i | −0.204470 | + | 0.401295i | ||||
\(39\) | −21.9422 | − | 7.12944i | −0.562620 | − | 0.182806i | ||||
\(40\) | −2.87655 | − | 31.4110i | −0.0719137 | − | 0.785276i | ||||
\(41\) | −16.7764 | − | 51.6323i | −0.409180 | − | 1.25933i | −0.917355 | − | 0.398071i | \(-0.869680\pi\) |
0.508175 | − | 0.861254i | \(-0.330320\pi\) | |||||||
\(42\) | 2.04855 | − | 12.9340i | 0.0487750 | − | 0.307953i | ||||
\(43\) | 3.47098 | + | 3.47098i | 0.0807204 | + | 0.0807204i | 0.746314 | − | 0.665594i | \(-0.231822\pi\) |
−0.665594 | + | 0.746314i | \(0.731822\pi\) | |||||||
\(44\) | 27.5508 | + | 37.9204i | 0.626154 | + | 0.861827i | ||||
\(45\) | 14.4237 | + | 22.8757i | 0.320526 | + | 0.508349i | ||||
\(46\) | 3.71603 | + | 2.69985i | 0.0807832 | + | 0.0586924i | ||||
\(47\) | 65.5638 | − | 10.3843i | 1.39498 | − | 0.220942i | 0.586727 | − | 0.809785i | \(-0.300416\pi\) |
0.808248 | + | 0.588842i | \(0.200416\pi\) | |||||||
\(48\) | −12.6096 | + | 6.42490i | −0.262700 | + | 0.133852i | ||||
\(49\) | − | 13.9091i | − | 0.283860i | ||||||
\(50\) | 17.9424 | + | 12.3477i | 0.358847 | + | 0.246953i | ||||
\(51\) | −1.78993 | −0.0350967 | ||||||||
\(52\) | −17.9129 | − | 35.1561i | −0.344480 | − | 0.676080i | ||||
\(53\) | −6.61077 | − | 41.7387i | −0.124731 | − | 0.787523i | −0.968169 | − | 0.250296i | \(-0.919472\pi\) |
0.843438 | − | 0.537227i | \(-0.180528\pi\) | |||||||
\(54\) | −13.9830 | + | 19.2459i | −0.258944 | + | 0.356406i | ||||
\(55\) | −72.1557 | − | 4.75157i | −1.31192 | − | 0.0863923i | ||||
\(56\) | 40.4800 | − | 29.4104i | 0.722857 | − | 0.525186i | ||||
\(57\) | −26.3239 | + | 26.3239i | −0.461823 | + | 0.461823i | ||||
\(58\) | 11.5358 | + | 1.82709i | 0.198893 | + | 0.0315015i | ||||
\(59\) | −35.6563 | + | 11.5854i | −0.604345 | + | 0.196363i | −0.595177 | − | 0.803595i | \(-0.702918\pi\) |
−0.00916740 | + | 0.999958i | \(0.502918\pi\) | |||||||
\(60\) | 6.78671 | − | 29.9502i | 0.113112 | − | 0.499171i | ||||
\(61\) | −32.4776 | + | 99.9557i | −0.532419 | + | 1.63862i | 0.216742 | + | 0.976229i | \(0.430457\pi\) |
−0.749161 | + | 0.662388i | \(0.769543\pi\) | |||||||
\(62\) | −11.6628 | − | 5.94250i | −0.188110 | − | 0.0958468i | ||||
\(63\) | −19.4757 | + | 38.2232i | −0.309138 | + | 0.606718i | ||||
\(64\) | −2.10987 | − | 0.685539i | −0.0329668 | − | 0.0107116i | ||||
\(65\) | 59.3666 | + | 13.4524i | 0.913332 | + | 0.206961i | ||||
\(66\) | −7.37870 | − | 22.7093i | −0.111798 | − | 0.344080i | ||||
\(67\) | −7.05644 | + | 44.5526i | −0.105320 | + | 0.664965i | 0.877385 | + | 0.479787i | \(0.159286\pi\) |
−0.982705 | + | 0.185178i | \(0.940714\pi\) | |||||||
\(68\) | −2.16456 | − | 2.16456i | −0.0318317 | − | 0.0318317i | ||||
\(69\) | 5.87272 | + | 8.08310i | 0.0851118 | + | 0.117146i | ||||
\(70\) | −2.27030 | + | 34.4760i | −0.0324329 | + | 0.492514i | ||||
\(71\) | 36.5810 | + | 26.5777i | 0.515226 | + | 0.374333i | 0.814802 | − | 0.579739i | \(-0.196845\pi\) |
−0.299577 | + | 0.954072i | \(0.596845\pi\) | |||||||
\(72\) | −33.7004 | + | 5.33762i | −0.468062 | + | 0.0741337i | ||||
\(73\) | 47.8210 | − | 24.3660i | 0.655082 | − | 0.333781i | −0.0946613 | − | 0.995510i | \(-0.530177\pi\) |
0.749744 | + | 0.661728i | \(0.230177\pi\) | |||||||
\(74\) | − | 56.4229i | − | 0.762472i | ||||||
\(75\) | 28.8183 | + | 37.6045i | 0.384243 | + | 0.501393i | ||||
\(76\) | −63.6667 | −0.837719 | ||||||||
\(77\) | −52.0767 | − | 102.206i | −0.676321 | − | 1.32735i | ||||
\(78\) | 3.14438 | + | 19.8528i | 0.0403125 | + | 0.254523i | ||||
\(79\) | 70.5878 | − | 97.1558i | 0.893516 | − | 1.22982i | −0.0789740 | − | 0.996877i | \(-0.525164\pi\) |
0.972490 | − | 0.232943i | \(-0.0748356\pi\) | |||||||
\(80\) | 31.5847 | − | 19.9149i | 0.394808 | − | 0.248936i | ||||
\(81\) | −2.48243 | + | 1.80359i | −0.0306472 | + | 0.0222665i | ||||
\(82\) | −33.4449 | + | 33.4449i | −0.407864 | + | 0.407864i | ||||
\(83\) | −60.5919 | − | 9.59682i | −0.730023 | − | 0.115624i | −0.219652 | − | 0.975578i | \(-0.570492\pi\) |
−0.510371 | + | 0.859954i | \(0.670492\pi\) | |||||||
\(84\) | 46.3305 | − | 15.0537i | 0.551553 | − | 0.179210i | ||||
\(85\) | 4.70289 | − | 0.430680i | 0.0553282 | − | 0.00506682i | ||||
\(86\) | 1.32153 | − | 4.06726i | 0.0153667 | − | 0.0472937i | ||||
\(87\) | 22.6364 | + | 11.5338i | 0.260189 | + | 0.132573i | ||||
\(88\) | 41.4202 | − | 81.2918i | 0.470685 | − | 0.923771i | ||||
\(89\) | 48.8275 | + | 15.8650i | 0.548623 | + | 0.178258i | 0.570196 | − | 0.821509i | \(-0.306867\pi\) |
−0.0215727 | + | 0.999767i | \(0.506867\pi\) | |||||||
\(90\) | 12.0527 | − | 20.2445i | 0.133918 | − | 0.224939i | ||||
\(91\) | 29.8390 | + | 91.8350i | 0.327901 | + | 1.00918i | ||||
\(92\) | −2.67300 | + | 16.8767i | −0.0290544 | + | 0.183442i | ||||
\(93\) | −20.1329 | − | 20.1329i | −0.216483 | − | 0.216483i | ||||
\(94\) | −33.9932 | − | 46.7876i | −0.361630 | − | 0.497741i | ||||
\(95\) | 62.8299 | − | 75.4976i | 0.661367 | − | 0.794711i | ||||
\(96\) | 48.6625 | + | 35.3553i | 0.506901 | + | 0.368285i | ||||
\(97\) | −36.3164 | + | 5.75195i | −0.374395 | + | 0.0592984i | −0.340797 | − | 0.940137i | \(-0.610697\pi\) |
−0.0335987 | + | 0.999435i | \(0.510697\pi\) | |||||||
\(98\) | −10.7972 | + | 5.50143i | −0.110175 | + | 0.0561371i | ||||
\(99\) | 78.2221i | 0.790123i | ||||||||
\(100\) | −10.6251 | + | 80.3246i | −0.106251 | + | 0.803246i | ||||
\(101\) | −76.5209 | −0.757632 | −0.378816 | − | 0.925472i | \(-0.623669\pi\) | ||||
−0.378816 | + | 0.925472i | \(0.623669\pi\) | |||||||
\(102\) | 0.707967 | + | 1.38946i | 0.00694085 | + | 0.0136222i | ||||
\(103\) | −11.9943 | − | 75.7288i | −0.116449 | − | 0.735231i | −0.974951 | − | 0.222420i | \(-0.928604\pi\) |
0.858502 | − | 0.512811i | \(-0.171396\pi\) | |||||||
\(104\) | −45.1429 | + | 62.1339i | −0.434067 | + | 0.597441i | ||||
\(105\) | −27.8705 | + | 69.7957i | −0.265433 | + | 0.664721i | ||||
\(106\) | −29.7856 | + | 21.6405i | −0.280996 | + | 0.204156i | ||||
\(107\) | −36.9784 | + | 36.9784i | −0.345593 | + | 0.345593i | −0.858465 | − | 0.512872i | \(-0.828581\pi\) |
0.512872 | + | 0.858465i | \(0.328581\pi\) | |||||||
\(108\) | −87.4072 | − | 13.8439i | −0.809325 | − | 0.128185i | ||||
\(109\) | −27.6176 | + | 8.97352i | −0.253373 | + | 0.0823258i | −0.432950 | − | 0.901418i | \(-0.642527\pi\) |
0.179577 | + | 0.983744i | \(0.442527\pi\) | |||||||
\(110\) | 24.8510 | + | 57.8913i | 0.225918 | + | 0.526284i | ||||
\(111\) | 37.9260 | − | 116.724i | 0.341676 | − | 1.05157i | ||||
\(112\) | 52.7751 | + | 26.8903i | 0.471207 | + | 0.240092i | ||||
\(113\) | 1.56513 | − | 3.07175i | 0.0138507 | − | 0.0271836i | −0.883977 | − | 0.467529i | \(-0.845144\pi\) |
0.897828 | + | 0.440346i | \(0.145144\pi\) | |||||||
\(114\) | 30.8461 | + | 10.0225i | 0.270580 | + | 0.0879168i | ||||
\(115\) | −17.3749 | − | 19.8246i | −0.151086 | − | 0.172388i | ||||
\(116\) | 13.4263 | + | 41.3219i | 0.115744 | + | 0.356223i | ||||
\(117\) | 10.3007 | − | 65.0361i | 0.0880403 | − | 0.555864i | ||||
\(118\) | 23.0964 | + | 23.0964i | 0.195732 | + | 0.195732i | ||||
\(119\) | 4.40336 | + | 6.06071i | 0.0370030 | + | 0.0509303i | ||||
\(120\) | −57.9409 | + | 14.6962i | −0.482841 | + | 0.122468i | ||||
\(121\) | −71.3235 | − | 51.8196i | −0.589450 | − | 0.428261i | ||||
\(122\) | 90.4378 | − | 14.3239i | 0.741293 | − | 0.117409i | ||||
\(123\) | −91.6694 | + | 46.7079i | −0.745280 | + | 0.379739i | ||||
\(124\) | − | 48.6933i | − | 0.392688i | ||||||
\(125\) | −84.7655 | − | 91.8684i | −0.678124 | − | 0.734947i | ||||
\(126\) | 37.3745 | 0.296623 | ||||||||
\(127\) | 72.0197 | + | 141.347i | 0.567084 | + | 1.11297i | 0.979401 | + | 0.201925i | \(0.0647197\pi\) |
−0.412317 | + | 0.911041i | \(0.635280\pi\) | |||||||
\(128\) | 20.1633 | + | 127.306i | 0.157526 | + | 0.994580i | ||||
\(129\) | 5.46781 | − | 7.52580i | 0.0423862 | − | 0.0583395i | ||||
\(130\) | −13.0384 | − | 51.4050i | −0.100295 | − | 0.395423i | ||||
\(131\) | 94.7333 | − | 68.8278i | 0.723155 | − | 0.525403i | −0.164236 | − | 0.986421i | \(-0.552516\pi\) |
0.887391 | + | 0.461018i | \(0.152516\pi\) | |||||||
\(132\) | 62.8100 | − | 62.8100i | 0.475833 | − | 0.475833i | ||||
\(133\) | 153.891 | + | 24.3740i | 1.15708 | + | 0.183263i | ||||
\(134\) | 37.3757 | − | 12.1441i | 0.278923 | − | 0.0906275i | ||||
\(135\) | 102.675 | − | 89.9877i | 0.760554 | − | 0.666575i | ||||
\(136\) | −1.84127 | + | 5.66684i | −0.0135387 | + | 0.0416679i | ||||
\(137\) | −161.447 | − | 82.2613i | −1.17844 | − | 0.600448i | −0.248674 | − | 0.968587i | \(-0.579995\pi\) |
−0.929771 | + | 0.368139i | \(0.879995\pi\) | |||||||
\(138\) | 3.95181 | − | 7.75587i | 0.0286363 | − | 0.0562019i | ||||
\(139\) | −66.3122 | − | 21.5461i | −0.477066 | − | 0.155008i | 0.0606066 | − | 0.998162i | \(-0.480696\pi\) |
−0.537673 | + | 0.843153i | \(0.680696\pi\) | |||||||
\(140\) | −118.107 | + | 50.6999i | −0.843622 | + | 0.362142i | ||||
\(141\) | −38.8736 | − | 119.641i | −0.275699 | − | 0.848516i | ||||
\(142\) | 6.16254 | − | 38.9088i | 0.0433982 | − | 0.274005i | ||||
\(143\) | 124.500 | + | 124.500i | 0.870631 | + | 0.870631i | ||||
\(144\) | −23.7411 | − | 32.6768i | −0.164868 | − | 0.226922i | ||||
\(145\) | −62.2503 | − | 24.8575i | −0.429313 | − | 0.171431i | ||||
\(146\) | −37.8290 | − | 27.4844i | −0.259103 | − | 0.188249i | ||||
\(147\) | −26.0344 | + | 4.12345i | −0.177105 | + | 0.0280507i | ||||
\(148\) | 187.018 | − | 95.2902i | 1.26363 | − | 0.643853i | ||||
\(149\) | 161.305i | 1.08259i | 0.840834 | + | 0.541293i | \(0.182065\pi\) | ||||
−0.840834 | + | 0.541293i | \(0.817935\pi\) | |||||||
\(150\) | 17.7926 | − | 37.2442i | 0.118618 | − | 0.248294i | ||||
\(151\) | 133.490 | 0.884041 | 0.442020 | − | 0.897005i | \(-0.354262\pi\) | ||||
0.442020 | + | 0.897005i | \(0.354262\pi\) | |||||||
\(152\) | 56.2613 | + | 110.419i | 0.370140 | + | 0.726441i | ||||
\(153\) | −0.799155 | − | 5.04566i | −0.00522323 | − | 0.0329782i | ||||
\(154\) | −58.7414 | + | 80.8507i | −0.381438 | + | 0.525004i | ||||
\(155\) | 57.7417 | + | 48.0533i | 0.372527 | + | 0.310021i | ||||
\(156\) | −60.4931 | + | 43.9508i | −0.387777 | + | 0.281736i | ||||
\(157\) | 148.102 | − | 148.102i | 0.943325 | − | 0.943325i | −0.0551526 | − | 0.998478i | \(-0.517565\pi\) |
0.998478 | + | 0.0551526i | \(0.0175645\pi\) | |||||||
\(158\) | −103.338 | − | 16.3671i | −0.654038 | − | 0.103589i | ||||
\(159\) | −76.1647 | + | 24.7474i | −0.479023 | + | 0.155644i | ||||
\(160\) | −136.363 | − | 81.1843i | −0.852270 | − | 0.507402i | ||||
\(161\) | 12.9220 | − | 39.7700i | 0.0802612 | − | 0.247018i | ||||
\(162\) | 2.38193 | + | 1.21365i | 0.0147033 | + | 0.00749169i | ||||
\(163\) | −139.677 | + | 274.131i | −0.856914 | + | 1.68179i | −0.133855 | + | 0.991001i | \(0.542736\pi\) |
−0.723058 | + | 0.690787i | \(0.757264\pi\) | |||||||
\(164\) | −167.339 | − | 54.3717i | −1.02036 | − | 0.331535i | ||||
\(165\) | 12.4972 | + | 136.466i | 0.0757408 | + | 0.827067i | ||||
\(166\) | 16.5160 | + | 50.8312i | 0.0994943 | + | 0.306212i | ||||
\(167\) | 0.0999015 | − | 0.630753i | 0.000598213 | − | 0.00377697i | −0.987387 | − | 0.158323i | \(-0.949391\pi\) |
0.987986 | + | 0.154546i | \(0.0493914\pi\) | |||||||
\(168\) | −67.0496 | − | 67.0496i | −0.399105 | − | 0.399105i | ||||
\(169\) | 12.2175 | + | 16.8160i | 0.0722929 | + | 0.0995027i | ||||
\(170\) | −2.19444 | − | 3.48035i | −0.0129085 | − | 0.0204726i | ||||
\(171\) | −85.9576 | − | 62.4519i | −0.502676 | − | 0.365216i | ||||
\(172\) | 15.7131 | − | 2.48871i | 0.0913552 | − | 0.0144692i | ||||
\(173\) | −121.206 | + | 61.7573i | −0.700610 | + | 0.356979i | −0.767736 | − | 0.640766i | \(-0.778617\pi\) |
0.0671264 | + | 0.997744i | \(0.478617\pi\) | |||||||
\(174\) | − | 22.1338i | − | 0.127206i | ||||||
\(175\) | 56.4336 | − | 190.088i | 0.322478 | − | 1.08622i | ||||
\(176\) | 108.002 | 0.613648 | ||||||||
\(177\) | 32.2556 | + | 63.3052i | 0.182235 | + | 0.357657i | ||||
\(178\) | −6.99712 | − | 44.1781i | −0.0393097 | − | 0.248191i | ||||
\(179\) | −25.0966 | + | 34.5426i | −0.140205 | + | 0.192975i | −0.873345 | − | 0.487102i | \(-0.838054\pi\) |
0.733140 | + | 0.680078i | \(0.238054\pi\) | |||||||
\(180\) | 87.4571 | + | 5.75920i | 0.485873 | + | 0.0319956i | ||||
\(181\) | −146.810 | + | 106.664i | −0.811107 | + | 0.589304i | −0.914151 | − | 0.405373i | \(-0.867142\pi\) |
0.103044 | + | 0.994677i | \(0.467142\pi\) | |||||||
\(182\) | 59.4862 | − | 59.4862i | 0.326847 | − | 0.326847i | ||||
\(183\) | 196.720 | + | 31.1574i | 1.07497 | + | 0.170259i | ||||
\(184\) | 31.6318 | − | 10.2778i | 0.171912 | − | 0.0558576i | ||||
\(185\) | −71.5620 | + | 315.808i | −0.386822 | + | 1.70707i | ||||
\(186\) | −7.66537 | + | 23.5916i | −0.0412117 | + | 0.126837i | ||||
\(187\) | 12.1711 | + | 6.20148i | 0.0650861 | + | 0.0331630i | ||||
\(188\) | 97.6712 | − | 191.690i | 0.519528 | − | 1.01963i | ||||
\(189\) | 205.975 | + | 66.9254i | 1.08982 | + | 0.354103i | ||||
\(190\) | −83.4570 | − | 18.9113i | −0.439248 | − | 0.0995333i | ||||
\(191\) | 17.3757 | + | 53.4768i | 0.0909721 | + | 0.279983i | 0.986183 | − | 0.165659i | \(-0.0529752\pi\) |
−0.895211 | + | 0.445643i | \(0.852975\pi\) | |||||||
\(192\) | −0.657674 | + | 4.15239i | −0.00342539 | + | 0.0216270i | ||||
\(193\) | −148.900 | − | 148.900i | −0.771503 | − | 0.771503i | 0.206867 | − | 0.978369i | \(-0.433673\pi\) |
−0.978369 | + | 0.206867i | \(0.933673\pi\) | |||||||
\(194\) | 18.8291 | + | 25.9161i | 0.0970573 | + | 0.133588i | ||||
\(195\) | 7.58003 | − | 115.108i | 0.0388719 | − | 0.590295i | ||||
\(196\) | −36.4698 | − | 26.4968i | −0.186070 | − | 0.135188i | ||||
\(197\) | −277.234 | + | 43.9096i | −1.40728 | + | 0.222891i | −0.813420 | − | 0.581677i | \(-0.802397\pi\) |
−0.593860 | + | 0.804568i | \(0.702397\pi\) | |||||||
\(198\) | 60.7211 | − | 30.9389i | 0.306672 | − | 0.156257i | ||||
\(199\) | − | 122.456i | − | 0.615359i | −0.951490 | − | 0.307679i | \(-0.900448\pi\) | ||
0.951490 | − | 0.307679i | \(-0.0995524\pi\) | |||||||
\(200\) | 148.699 | − | 52.5542i | 0.743493 | − | 0.262771i | ||||
\(201\) | 85.4834 | 0.425290 | ||||||||
\(202\) | 30.2660 | + | 59.4005i | 0.149832 | + | 0.294062i | ||||
\(203\) | −16.6336 | − | 105.021i | −0.0819392 | − | 0.517343i | ||||
\(204\) | −3.40982 | + | 4.69321i | −0.0167148 | + | 0.0230059i | ||||
\(205\) | 229.615 | − | 144.778i | 1.12007 | − | 0.706233i | ||||
\(206\) | −54.0415 | + | 39.2635i | −0.262338 | + | 0.190599i | ||||
\(207\) | −20.1635 | + | 20.1635i | −0.0974084 | + | 0.0974084i | ||||
\(208\) | −89.7959 | − | 14.2223i | −0.431711 | − | 0.0683763i | ||||
\(209\) | 270.199 | − | 87.7929i | 1.29282 | − | 0.420062i | ||||
\(210\) | 65.2035 | − | 5.97117i | 0.310493 | − | 0.0284342i | ||||
\(211\) | 57.5357 | − | 177.077i | 0.272681 | − | 0.839227i | −0.717142 | − | 0.696927i | \(-0.754550\pi\) |
0.989824 | − | 0.142300i | \(-0.0454497\pi\) | |||||||
\(212\) | −122.032 | − | 62.1786i | −0.575625 | − | 0.293296i | ||||
\(213\) | 38.9021 | − | 76.3497i | 0.182639 | − | 0.358449i | ||||
\(214\) | 43.3310 | + | 14.0791i | 0.202481 | + | 0.0657902i | ||||
\(215\) | −12.5554 | + | 21.0890i | −0.0583972 | + | 0.0980884i | ||||
\(216\) | 53.2304 | + | 163.826i | 0.246437 | + | 0.758456i | ||||
\(217\) | −18.6416 | + | 117.698i | −0.0859059 | + | 0.542389i | ||||
\(218\) | 17.8893 | + | 17.8893i | 0.0820612 | + | 0.0820612i | ||||
\(219\) | −59.7840 | − | 82.2856i | −0.272986 | − | 0.375733i | ||||
\(220\) | −149.915 | + | 180.140i | −0.681431 | + | 0.818820i | ||||
\(221\) | −9.30275 | − | 6.75885i | −0.0420939 | − | 0.0305830i | ||||
\(222\) | −105.610 | + | 16.7269i | −0.475719 | + | 0.0753465i | ||||
\(223\) | −166.115 | + | 84.6396i | −0.744908 | + | 0.379550i | −0.784877 | − | 0.619651i | \(-0.787274\pi\) |
0.0399691 | + | 0.999201i | \(0.487274\pi\) | |||||||
\(224\) | − | 251.747i | − | 1.12387i | ||||||
\(225\) | −93.1371 | + | 98.0254i | −0.413943 | + | 0.435669i | ||||
\(226\) | −3.00354 | −0.0132900 | ||||||||
\(227\) | 38.6087 | + | 75.7738i | 0.170082 | + | 0.333805i | 0.960276 | − | 0.279052i | \(-0.0900202\pi\) |
−0.790194 | + | 0.612857i | \(0.790020\pi\) | |||||||
\(228\) | 18.8744 | + | 119.168i | 0.0827824 | + | 0.522668i | ||||
\(229\) | 131.354 | − | 180.794i | 0.573600 | − | 0.789493i | −0.419376 | − | 0.907813i | \(-0.637751\pi\) |
0.992975 | + | 0.118320i | \(0.0377509\pi\) | |||||||
\(230\) | −8.51688 | + | 21.3287i | −0.0370299 | + | 0.0927335i | ||||
\(231\) | −175.866 | + | 127.774i | −0.761326 | + | 0.553136i | ||||
\(232\) | 59.8011 | − | 59.8011i | 0.257763 | − | 0.257763i | ||||
\(233\) | 61.3442 | + | 9.71596i | 0.263280 | + | 0.0416994i | 0.286679 | − | 0.958027i | \(-0.407449\pi\) |
−0.0233990 | + | 0.999726i | \(0.507449\pi\) | |||||||
\(234\) | −54.5595 | + | 17.7274i | −0.233160 | + | 0.0757583i | ||||
\(235\) | 130.924 | + | 304.992i | 0.557124 | + | 1.29784i | ||||
\(236\) | −37.5481 | + | 115.561i | −0.159102 | + | 0.489666i | ||||
\(237\) | −202.778 | − | 103.320i | −0.855602 | − | 0.435951i | ||||
\(238\) | 2.96307 | − | 5.81535i | 0.0124499 | − | 0.0244342i | ||||
\(239\) | −36.5637 | − | 11.8803i | −0.152986 | − | 0.0497082i | 0.231523 | − | 0.972829i | \(-0.425629\pi\) |
−0.384509 | + | 0.923121i | \(0.625629\pi\) | |||||||
\(240\) | −46.6392 | − | 53.2148i | −0.194330 | − | 0.221728i | ||||
\(241\) | 30.6594 | + | 94.3598i | 0.127217 | + | 0.391535i | 0.994299 | − | 0.106632i | \(-0.0340067\pi\) |
−0.867081 | + | 0.498167i | \(0.834007\pi\) | |||||||
\(242\) | −12.0154 | + | 75.8619i | −0.0496502 | + | 0.313479i | ||||
\(243\) | −169.660 | − | 169.660i | −0.698189 | − | 0.698189i | ||||
\(244\) | 200.214 | + | 275.571i | 0.820550 | + | 1.12939i | ||||
\(245\) | 67.4110 | − | 17.0982i | 0.275147 | − | 0.0697886i | ||||
\(246\) | 72.5154 | + | 52.6855i | 0.294778 | + | 0.214169i | ||||
\(247\) | −236.212 | + | 37.4123i | −0.956324 | + | 0.151467i | ||||
\(248\) | −84.4501 | + | 43.0295i | −0.340525 | + | 0.173506i | ||||
\(249\) | 116.258i | 0.466900i | ||||||||
\(250\) | −37.7872 | + | 102.137i | −0.151149 | + | 0.408548i | ||||
\(251\) | 65.3291 | 0.260275 | 0.130138 | − | 0.991496i | \(-0.458458\pi\) | ||||
0.130138 | + | 0.991496i | \(0.458458\pi\) | |||||||
\(252\) | 63.1202 | + | 123.880i | 0.250477 | + | 0.491589i | ||||
\(253\) | −11.9279 | − | 75.3099i | −0.0471459 | − | 0.297668i | ||||
\(254\) | 81.2367 | − | 111.813i | 0.319830 | − | 0.440208i | ||||
\(255\) | −2.20033 | − | 8.67497i | −0.00862874 | − | 0.0340195i | ||||
\(256\) | 83.6692 | − | 60.7892i | 0.326833 | − | 0.237458i | ||||
\(257\) | 293.197 | − | 293.197i | 1.14084 | − | 1.14084i | 0.152547 | − | 0.988296i | \(-0.451252\pi\) |
0.988296 | − | 0.152547i | \(-0.0487475\pi\) | |||||||
\(258\) | −8.00468 | − | 1.26782i | −0.0310259 | − | 0.00491402i | ||||
\(259\) | −488.528 | + | 158.732i | −1.88621 | + | 0.612866i | ||||
\(260\) | 148.365 | − | 130.032i | 0.570636 | − | 0.500125i | ||||
\(261\) | −22.4063 | + | 68.9595i | −0.0858479 | + | 0.264213i | ||||
\(262\) | −90.8981 | − | 46.3149i | −0.346939 | − | 0.176774i | ||||
\(263\) | 113.098 | − | 221.967i | 0.430030 | − | 0.843981i | −0.569725 | − | 0.821836i | \(-0.692950\pi\) |
0.999755 | − | 0.0221457i | \(-0.00704979\pi\) | |||||||
\(264\) | −164.437 | − | 53.4289i | −0.622869 | − | 0.202382i | ||||
\(265\) | 194.162 | − | 83.3478i | 0.732685 | − | 0.314520i | ||||
\(266\) | −41.9474 | − | 129.101i | −0.157697 | − | 0.485342i | ||||
\(267\) | 15.2201 | − | 96.0961i | 0.0570042 | − | 0.359911i | ||||
\(268\) | 103.375 | + | 103.375i | 0.385726 | + | 0.385726i | ||||
\(269\) | −75.5099 | − | 103.931i | −0.280706 | − | 0.386359i | 0.645262 | − | 0.763962i | \(-0.276748\pi\) |
−0.925968 | + | 0.377603i | \(0.876748\pi\) | |||||||
\(270\) | −110.465 | − | 44.1103i | −0.409129 | − | 0.163372i | ||||
\(271\) | 13.2869 | + | 9.65352i | 0.0490293 | + | 0.0356219i | 0.612030 | − | 0.790835i | \(-0.290353\pi\) |
−0.563001 | + | 0.826456i | \(0.690353\pi\) | |||||||
\(272\) | −6.96659 | + | 1.10340i | −0.0256125 | + | 0.00405662i | ||||
\(273\) | 163.046 | − | 83.0763i | 0.597239 | − | 0.304309i | ||||
\(274\) | 157.862i | 0.576139i | ||||||||
\(275\) | −65.6708 | − | 355.546i | −0.238803 | − | 1.29289i | ||||
\(276\) | 32.3814 | 0.117324 | ||||||||
\(277\) | −2.24494 | − | 4.40595i | −0.00810448 | − | 0.0159059i | 0.886919 | − | 0.461925i | \(-0.152841\pi\) |
−0.895023 | + | 0.446019i | \(0.852841\pi\) | |||||||
\(278\) | 9.50274 | + | 59.9979i | 0.0341825 | + | 0.215820i | ||||
\(279\) | 47.7641 | − | 65.7417i | 0.171198 | − | 0.235633i | ||||
\(280\) | 192.300 | + | 160.034i | 0.686785 | + | 0.571550i | ||||
\(281\) | −60.1858 | + | 43.7275i | −0.214184 | + | 0.155614i | −0.689705 | − | 0.724091i | \(-0.742260\pi\) |
0.475521 | + | 0.879705i | \(0.342260\pi\) | |||||||
\(282\) | −77.4973 | + | 77.4973i | −0.274813 | + | 0.274813i | ||||
\(283\) | −120.915 | − | 19.1510i | −0.427260 | − | 0.0676714i | −0.0608988 | − | 0.998144i | \(-0.519397\pi\) |
−0.366362 | + | 0.930473i | \(0.619397\pi\) | |||||||
\(284\) | 139.373 | − | 45.2852i | 0.490751 | − | 0.159455i | ||||
\(285\) | −159.939 | − | 95.2202i | −0.561190 | − | 0.334106i | ||||
\(286\) | 47.4020 | − | 145.888i | 0.165741 | − | 0.510099i | ||||
\(287\) | 383.666 | + | 195.487i | 1.33681 | + | 0.681141i | ||||
\(288\) | −77.9372 | + | 152.960i | −0.270615 | + | 0.531112i | ||||
\(289\) | 274.007 | + | 89.0302i | 0.948121 | + | 0.308063i | ||||
\(290\) | 5.32565 | + | 58.1546i | 0.0183643 | + | 0.200533i | ||||
\(291\) | 21.5324 | + | 66.2700i | 0.0739946 | + | 0.227732i | ||||
\(292\) | 27.2111 | − | 171.804i | 0.0931886 | − | 0.588369i | ||||
\(293\) | 365.947 | + | 365.947i | 1.24897 | + | 1.24897i | 0.956177 | + | 0.292788i | \(0.0945831\pi\) |
0.292788 | + | 0.956177i | \(0.405417\pi\) | |||||||
\(294\) | 13.4982 | + | 18.5787i | 0.0459123 | + | 0.0631928i | ||||
\(295\) | −99.9808 | − | 158.568i | −0.338918 | − | 0.537518i | ||||
\(296\) | −330.529 | − | 240.144i | −1.11665 | − | 0.811296i | ||||
\(297\) | 390.042 | − | 61.7766i | 1.31327 | − | 0.208002i | ||||
\(298\) | 125.216 | − | 63.8005i | 0.420187 | − | 0.214096i | ||||
\(299\) | 64.1855i | 0.214667i | ||||||||
\(300\) | 153.498 | − | 3.92518i | 0.511659 | − | 0.0130839i | ||||
\(301\) | −38.9335 | −0.129347 | ||||||||
\(302\) | −52.7989 | − | 103.624i | −0.174831 | − | 0.343125i | ||||
\(303\) | 22.6851 | + | 143.228i | 0.0748683 | + | 0.472700i | ||||
\(304\) | −86.2278 | + | 118.682i | −0.283644 | + | 0.390403i | ||||
\(305\) | −524.362 | − | 34.5302i | −1.71922 | − | 0.113214i | ||||
\(306\) | −3.60069 | + | 2.61605i | −0.0117669 | + | 0.00854919i | ||||
\(307\) | −127.024 | + | 127.024i | −0.413759 | + | 0.413759i | −0.883046 | − | 0.469287i | \(-0.844511\pi\) |
0.469287 | + | 0.883046i | \(0.344511\pi\) | |||||||
\(308\) | −367.191 | − | 58.1573i | −1.19218 | − | 0.188823i | ||||
\(309\) | −138.190 | + | 44.9005i | −0.447216 | + | 0.145309i | ||||
\(310\) | 14.4637 | − | 63.8292i | 0.0466570 | − | 0.205901i | ||||
\(311\) | 3.65978 | − | 11.2636i | 0.0117678 | − | 0.0362175i | −0.945000 | − | 0.327070i | \(-0.893939\pi\) |
0.956768 | + | 0.290852i | \(0.0939388\pi\) | |||||||
\(312\) | 129.682 | + | 66.0763i | 0.415648 | + | 0.211783i | ||||
\(313\) | −77.8591 | + | 152.807i | −0.248751 | + | 0.488201i | −0.981293 | − | 0.192521i | \(-0.938334\pi\) |
0.732542 | + | 0.680722i | \(0.238334\pi\) | |||||||
\(314\) | −173.545 | − | 56.3881i | −0.552690 | − | 0.179580i | ||||
\(315\) | −209.191 | − | 47.4026i | −0.664099 | − | 0.150485i | ||||
\(316\) | −120.273 | − | 370.163i | −0.380611 | − | 1.17140i | ||||
\(317\) | −11.8851 | + | 75.0397i | −0.0374925 | + | 0.236718i | −0.999317 | − | 0.0369480i | \(-0.988236\pi\) |
0.961825 | + | 0.273666i | \(0.0882364\pi\) | |||||||
\(318\) | 49.3357 | + | 49.3357i | 0.155144 | + | 0.155144i | ||||
\(319\) | −113.961 | − | 156.854i | −0.357245 | − | 0.491706i | ||||
\(320\) | 0.728866 | − | 11.0683i | 0.00227771 | − | 0.0345884i | ||||
\(321\) | 80.1769 | + | 58.2519i | 0.249772 | + | 0.181470i | ||||
\(322\) | −35.9830 | + | 5.69915i | −0.111749 | + | 0.0176992i | ||||
\(323\) | −16.5320 | + | 8.42350i | −0.0511828 | + | 0.0260789i | ||||
\(324\) | 9.94475i | 0.0306937i | ||||||||
\(325\) | 7.78040 | + | 304.259i | 0.0239397 | + | 0.936181i | ||||
\(326\) | 268.045 | 0.822223 | ||||||||
\(327\) | 24.9836 | + | 49.0331i | 0.0764025 | + | 0.149948i | ||||
\(328\) | 53.5764 | + | 338.268i | 0.163343 | + | 1.03131i | ||||
\(329\) | −309.471 | + | 425.950i | −0.940641 | + | 1.29468i | ||||
\(330\) | 100.991 | − | 63.6771i | 0.306033 | − | 0.192961i | ||||
\(331\) | 343.246 | − | 249.383i | 1.03700 | − | 0.753423i | 0.0673003 | − | 0.997733i | \(-0.478561\pi\) |
0.969697 | + | 0.244310i | \(0.0785614\pi\) | |||||||
\(332\) | −140.590 | + | 140.590i | −0.423464 | + | 0.423464i | ||||
\(333\) | 345.968 | + | 54.7960i | 1.03894 | + | 0.164552i | ||||
\(334\) | −0.529145 | + | 0.171930i | −0.00158427 | + | 0.000514760i | ||||
\(335\) | −224.600 | + | 20.5683i | −0.670448 | + | 0.0613980i | ||||
\(336\) | 34.6864 | − | 106.754i | 0.103233 | − | 0.317719i | ||||
\(337\) | −124.280 | − | 63.3239i | −0.368784 | − | 0.187905i | 0.259771 | − | 0.965670i | \(-0.416353\pi\) |
−0.628554 | + | 0.777766i | \(0.716353\pi\) | |||||||
\(338\) | 8.22128 | − | 16.1352i | 0.0243233 | − | 0.0477372i | ||||
\(339\) | −6.21354 | − | 2.01890i | −0.0183290 | − | 0.00595547i | ||||
\(340\) | 7.82975 | − | 13.1514i | 0.0230287 | − | 0.0386807i | ||||
\(341\) | 67.1454 | + | 206.652i | 0.196907 | + | 0.606018i | ||||
\(342\) | −14.4807 | + | 91.4273i | −0.0423411 | + | 0.267331i | ||||
\(343\) | −196.805 | − | 196.805i | −0.573775 | − | 0.573775i | ||||
\(344\) | −18.2017 | − | 25.0525i | −0.0529118 | − | 0.0728269i | ||||
\(345\) | −31.9558 | + | 38.3987i | −0.0926255 | + | 0.111301i | ||||
\(346\) | 95.8800 | + | 69.6609i | 0.277110 | + | 0.201332i | ||||
\(347\) | 443.450 | − | 70.2356i | 1.27795 | − | 0.202408i | 0.519690 | − | 0.854355i | \(-0.326048\pi\) |
0.758265 | + | 0.651947i | \(0.226048\pi\) | |||||||
\(348\) | 73.3639 | − | 37.3808i | 0.210816 | − | 0.107416i | ||||
\(349\) | 127.497i | 0.365320i | 0.983176 | + | 0.182660i | \(0.0584708\pi\) | ||||
−0.983176 | + | 0.182660i | \(0.941529\pi\) | |||||||
\(350\) | −169.880 | + | 31.3775i | −0.485370 | + | 0.0896499i | ||||
\(351\) | −332.428 | −0.947087 | ||||||||
\(352\) | −208.399 | − | 409.005i | −0.592042 | − | 1.16195i | ||||
\(353\) | −74.6432 | − | 471.279i | −0.211454 | − | 1.33507i | −0.833688 | − | 0.552236i | \(-0.813775\pi\) |
0.622234 | − | 0.782831i | \(-0.286225\pi\) | |||||||
\(354\) | 36.3836 | − | 50.0778i | 0.102779 | − | 0.141463i | ||||
\(355\) | −83.8413 | + | 209.963i | −0.236173 | + | 0.591444i | ||||
\(356\) | 134.614 | − | 97.8029i | 0.378130 | − | 0.274727i | ||||
\(357\) | 10.0387 | − | 10.0387i | 0.0281197 | − | 0.0281197i | ||||
\(358\) | 36.7406 | + | 5.81914i | 0.102627 | + | 0.0162546i | ||||
\(359\) | 389.162 | − | 126.446i | 1.08402 | − | 0.352218i | 0.288085 | − | 0.957605i | \(-0.406982\pi\) |
0.795931 | + | 0.605387i | \(0.206982\pi\) | |||||||
\(360\) | −67.2962 | − | 156.769i | −0.186934 | − | 0.435469i | ||||
\(361\) | −7.69430 | + | 23.6806i | −0.0213138 | + | 0.0655973i | ||||
\(362\) | 140.867 | + | 71.7753i | 0.389135 | + | 0.198274i | ||||
\(363\) | −75.8490 | + | 148.862i | −0.208950 | + | 0.410088i | ||||
\(364\) | 297.635 | + | 96.7074i | 0.817678 | + | 0.265680i | ||||
\(365\) | 176.876 | + | 201.813i | 0.484592 | + | 0.552913i | ||||
\(366\) | −53.6217 | − | 165.031i | −0.146507 | − | 0.450903i | ||||
\(367\) | 18.6772 | − | 117.923i | 0.0508916 | − | 0.321317i | −0.949088 | − | 0.315010i | \(-0.897992\pi\) |
0.999980 | − | 0.00630745i | \(-0.00200774\pi\) | |||||||
\(368\) | 27.8400 | + | 27.8400i | 0.0756521 | + | 0.0756521i | ||||
\(369\) | −172.593 | − | 237.554i | −0.467732 | − | 0.643778i | ||||
\(370\) | 273.455 | − | 69.3595i | 0.739069 | − | 0.187458i | ||||
\(371\) | 271.165 | + | 197.013i | 0.730903 | + | 0.531032i | ||||
\(372\) | −91.1417 | + | 14.4354i | −0.245005 | + | 0.0388049i | ||||
\(373\) | −228.816 | + | 116.587i | −0.613446 | + | 0.312567i | −0.732966 | − | 0.680265i | \(-0.761865\pi\) |
0.119520 | + | 0.992832i | \(0.461865\pi\) | |||||||
\(374\) | − | 11.9008i | − | 0.0318204i | ||||||
\(375\) | −146.826 | + | 185.895i | −0.391535 | + | 0.495720i | ||||
\(376\) | −418.765 | −1.11374 | ||||||||
\(377\) | 74.0952 | + | 145.420i | 0.196539 | + | 0.385730i | ||||
\(378\) | −29.5169 | − | 186.362i | −0.0780869 | − | 0.493021i | ||||
\(379\) | 145.323 | − | 200.020i | 0.383438 | − | 0.527757i | −0.573053 | − | 0.819518i | \(-0.694241\pi\) |
0.956491 | + | 0.291761i | \(0.0942413\pi\) | |||||||
\(380\) | −78.2641 | − | 308.563i | −0.205958 | − | 0.812007i | ||||
\(381\) | 243.215 | − | 176.706i | 0.638360 | − | 0.463795i | ||||
\(382\) | 34.6396 | − | 34.6396i | 0.0906797 | − | 0.0906797i | ||||
\(383\) | 254.126 | + | 40.2496i | 0.663515 | + | 0.105090i | 0.479103 | − | 0.877759i | \(-0.340962\pi\) |
0.184412 | + | 0.982849i | \(0.440962\pi\) | |||||||
\(384\) | 232.308 | − | 75.4815i | 0.604969 | − | 0.196566i | ||||
\(385\) | 431.329 | − | 378.032i | 1.12034 | − | 0.981900i | ||||
\(386\) | −56.6919 | + | 174.480i | −0.146870 | + | 0.452020i | ||||
\(387\) | 23.6558 | + | 12.0532i | 0.0611261 | + | 0.0311453i | ||||
\(388\) | −54.1009 | + | 106.179i | −0.139435 | + | 0.273657i | ||||
\(389\) | −508.333 | − | 165.168i | −1.30677 | − | 0.424595i | −0.428838 | − | 0.903381i | \(-0.641077\pi\) |
−0.877931 | + | 0.478786i | \(0.841077\pi\) | |||||||
\(390\) | −92.3520 | + | 39.6440i | −0.236800 | + | 0.101651i | ||||
\(391\) | 1.53880 | + | 4.73595i | 0.00393556 | + | 0.0121124i | ||||
\(392\) | −13.7265 | + | 86.6654i | −0.0350165 | + | 0.221085i | ||||
\(393\) | −156.913 | − | 156.913i | −0.399269 | − | 0.399269i | ||||
\(394\) | 143.739 | + | 197.840i | 0.364820 | + | 0.502131i | ||||
\(395\) | 557.641 | + | 222.674i | 1.41175 | + | 0.563733i | ||||
\(396\) | 205.099 | + | 149.013i | 0.517926 | + | 0.376295i | ||||
\(397\) | 128.831 | − | 20.4049i | 0.324512 | − | 0.0513976i | 0.00794678 | − | 0.999968i | \(-0.497470\pi\) |
0.316565 | + | 0.948571i | \(0.397470\pi\) | |||||||
\(398\) | −95.0586 | + | 48.4348i | −0.238841 | + | 0.121695i | ||||
\(399\) | − | 295.272i | − | 0.740030i | ||||||
\(400\) | 135.345 | + | 128.595i | 0.338361 | + | 0.321488i | ||||
\(401\) | −791.621 | −1.97412 | −0.987059 | − | 0.160358i | \(-0.948735\pi\) | ||||
−0.987059 | + | 0.160358i | \(0.948735\pi\) | |||||||
\(402\) | −33.8110 | − | 66.3577i | −0.0841069 | − | 0.165069i | ||||
\(403\) | −28.6135 | − | 180.659i | −0.0710013 | − | 0.448284i | ||||
\(404\) | −145.772 | + | 200.638i | −0.360821 | + | 0.496628i | ||||
\(405\) | −11.7927 | − | 9.81405i | −0.0291179 | − | 0.0242322i | ||||
\(406\) | −74.9448 | + | 54.4506i | −0.184593 | + | 0.134115i | ||||
\(407\) | −662.295 | + | 662.295i | −1.62726 | + | 1.62726i | ||||
\(408\) | 11.1528 | + | 1.76643i | 0.0273352 | + | 0.00432947i | ||||
\(409\) | 15.0598 | − | 4.89323i | 0.0368210 | − | 0.0119639i | −0.290549 | − | 0.956860i | \(-0.593838\pi\) |
0.327370 | + | 0.944896i | \(0.393838\pi\) | |||||||
\(410\) | −203.205 | − | 120.979i | −0.495621 | − | 0.295070i | ||||
\(411\) | −106.111 | + | 326.575i | −0.258177 | + | 0.794588i | ||||
\(412\) | −221.410 | − | 112.814i | −0.537403 | − | 0.273820i | ||||
\(413\) | 135.000 | − | 264.952i | 0.326877 | − | 0.641531i | ||||
\(414\) | 23.6275 | + | 7.67703i | 0.0570712 | + | 0.0185436i | ||||
\(415\) | −27.9731 | − | 305.458i | −0.0674050 | − | 0.736043i | ||||
\(416\) | 119.409 | + | 367.502i | 0.287040 | + | 0.883418i | ||||
\(417\) | −20.6704 | + | 130.507i | −0.0495692 | + | 0.312968i | ||||
\(418\) | −175.021 | − | 175.021i | −0.418711 | − | 0.418711i | ||||
\(419\) | 322.442 | + | 443.803i | 0.769551 | + | 1.05920i | 0.996359 | + | 0.0852562i | \(0.0271709\pi\) |
−0.226808 | + | 0.973939i | \(0.572829\pi\) | |||||||
\(420\) | 129.911 | + | 206.037i | 0.309312 | + | 0.490564i | ||||
\(421\) | 195.688 | + | 142.176i | 0.464818 | + | 0.337710i | 0.795418 | − | 0.606061i | \(-0.207251\pi\) |
−0.330601 | + | 0.943771i | \(0.607251\pi\) | |||||||
\(422\) | −160.215 | + | 25.3756i | −0.379657 | + | 0.0601318i | ||||
\(423\) | 319.901 | − | 162.998i | 0.756266 | − | 0.385337i | ||||
\(424\) | 266.591i | 0.628752i | ||||||||
\(425\) | 7.86847 | + | 22.2633i | 0.0185141 | + | 0.0523842i | ||||
\(426\) | −74.6544 | −0.175245 | ||||||||
\(427\) | −378.447 | − | 742.743i | −0.886292 | − | 1.73945i | ||||
\(428\) | 26.5138 | + | 167.401i | 0.0619480 | + | 0.391124i | ||||
\(429\) | 196.125 | − | 269.942i | 0.457167 | − | 0.629236i | ||||
\(430\) | 21.3367 | + | 1.40506i | 0.0496201 | + | 0.00326757i | ||||
\(431\) | −515.262 | + | 374.360i | −1.19550 | + | 0.868585i | −0.993835 | − | 0.110869i | \(-0.964637\pi\) |
−0.201669 | + | 0.979454i | \(0.564637\pi\) | |||||||
\(432\) | −144.188 | + | 144.188i | −0.333768 | + | 0.333768i | ||||
\(433\) | −270.426 | − | 42.8313i | −0.624540 | − | 0.0989175i | −0.163860 | − | 0.986484i | \(-0.552395\pi\) |
−0.460680 | + | 0.887566i | \(0.652395\pi\) | |||||||
\(434\) | 98.7383 | − | 32.0820i | 0.227508 | − | 0.0739217i | ||||
\(435\) | −28.0726 | + | 123.886i | −0.0645347 | + | 0.284796i | ||||
\(436\) | −29.0829 | + | 89.5080i | −0.0667039 | + | 0.205294i | ||||
\(437\) | 92.2805 | + | 47.0193i | 0.211168 | + | 0.107596i | ||||
\(438\) | −40.2292 | + | 78.9543i | −0.0918476 | + | 0.180261i | ||||
\(439\) | 27.3685 | + | 8.89257i | 0.0623429 | + | 0.0202564i | 0.340022 | − | 0.940417i | \(-0.389565\pi\) |
−0.277680 | + | 0.960674i | \(0.589565\pi\) | |||||||
\(440\) | 444.900 | + | 100.814i | 1.01114 | + | 0.229123i | ||||
\(441\) | −23.2473 | − | 71.5478i | −0.0527149 | − | 0.162240i | ||||
\(442\) | −1.56717 | + | 9.89470i | −0.00354563 | + | 0.0223862i | ||||
\(443\) | 176.930 | + | 176.930i | 0.399390 | + | 0.399390i | 0.878018 | − | 0.478628i | \(-0.158866\pi\) |
−0.478628 | + | 0.878018i | \(0.658866\pi\) | |||||||
\(444\) | −233.802 | − | 321.801i | −0.526581 | − | 0.724777i | ||||
\(445\) | −16.8677 | + | 256.146i | −0.0379049 | + | 0.575610i | ||||
\(446\) | 131.405 | + | 95.4717i | 0.294631 | + | 0.214062i | ||||
\(447\) | 301.923 | − | 47.8199i | 0.675444 | − | 0.106980i | ||||
\(448\) | 15.6779 | − | 7.98829i | 0.0349953 | − | 0.0178310i | ||||
\(449\) | − | 715.203i | − | 1.59288i | −0.604717 | − | 0.796440i | \(-0.706714\pi\) | ||
0.604717 | − | 0.796440i | \(-0.293286\pi\) | |||||||
\(450\) | 112.932 | + | 33.5274i | 0.250960 | + | 0.0745053i | ||||
\(451\) | 785.155 | 1.74092 | ||||||||
\(452\) | −5.07256 | − | 9.95545i | −0.0112225 | − | 0.0220253i | ||||
\(453\) | −39.5740 | − | 249.860i | −0.0873598 | − | 0.551568i | ||||
\(454\) | 43.5497 | − | 59.9411i | 0.0959246 | − | 0.132029i | ||||
\(455\) | −408.401 | + | 257.507i | −0.897584 | + | 0.565948i | ||||
\(456\) | 189.998 | − | 138.042i | 0.416662 | − | 0.302723i | ||||
\(457\) | −368.956 | + | 368.956i | −0.807343 | + | 0.807343i | −0.984231 | − | 0.176888i | \(-0.943397\pi\) |
0.176888 | + | 0.984231i | \(0.443397\pi\) | |||||||
\(458\) | −192.298 | − | 30.4570i | −0.419865 | − | 0.0665000i | ||||
\(459\) | −24.5283 | + | 7.96972i | −0.0534385 | + | 0.0173632i | ||||
\(460\) | −85.0793 | + | 7.79135i | −0.184955 | + | 0.0169377i | ||||
\(461\) | −11.9458 | + | 36.7653i | −0.0259127 | + | 0.0797512i | −0.963177 | − | 0.268870i | \(-0.913350\pi\) |
0.937264 | + | 0.348621i | \(0.113350\pi\) | |||||||
\(462\) | 168.747 | + | 85.9807i | 0.365252 | + | 0.186105i | ||||
\(463\) | −103.445 | + | 203.022i | −0.223423 | + | 0.438492i | −0.975322 | − | 0.220786i | \(-0.929138\pi\) |
0.751900 | + | 0.659278i | \(0.229138\pi\) | |||||||
\(464\) | 95.2130 | + | 30.9366i | 0.205200 | + | 0.0666737i | ||||
\(465\) | 72.8259 | − | 122.324i | 0.156615 | − | 0.263062i | ||||
\(466\) | −16.7211 | − | 51.4622i | −0.0358822 | − | 0.110434i | ||||
\(467\) | 134.672 | − | 850.285i | 0.288377 | − | 1.82074i | −0.238899 | − | 0.971044i | \(-0.576787\pi\) |
0.527276 | − | 0.849694i | \(-0.323213\pi\) | |||||||
\(468\) | −150.902 | − | 150.902i | −0.322440 | − | 0.322440i | ||||
\(469\) | −210.295 | − | 289.446i | −0.448390 | − | 0.617156i | ||||
\(470\) | 184.971 | − | 222.264i | 0.393555 | − | 0.472903i | ||||
\(471\) | −321.116 | − | 233.304i | −0.681775 | − | 0.495339i | ||||
\(472\) | 233.602 | − | 36.9989i | 0.494919 | − | 0.0783875i | ||||
\(473\) | −63.2540 | + | 32.2295i | −0.133729 | + | 0.0681385i | ||||
\(474\) | 198.275i | 0.418302i | ||||||||
\(475\) | 443.137 | + | 211.700i | 0.932920 | + | 0.445683i | ||||
\(476\) | 24.2796 | 0.0510075 | ||||||||
\(477\) | −103.766 | − | 203.653i | −0.217539 | − | 0.426945i | ||||
\(478\) | 5.23968 | + | 33.0820i | 0.0109617 | + | 0.0692093i | ||||
\(479\) | 54.7418 | − | 75.3456i | 0.114284 | − | 0.157298i | −0.748043 | − | 0.663650i | \(-0.769006\pi\) |
0.862327 | + | 0.506352i | \(0.169006\pi\) | |||||||
\(480\) | −111.531 | + | 279.306i | −0.232356 | + | 0.581887i | ||||
\(481\) | 637.866 | − | 463.436i | 1.32612 | − | 0.963485i | ||||
\(482\) | 61.1216 | − | 61.1216i | 0.126808 | − | 0.126808i | ||||
\(483\) | −78.2703 | − | 12.3968i | −0.162050 | − | 0.0256663i | ||||
\(484\) | −271.742 | + | 88.2943i | −0.561450 | + | 0.182426i | ||||
\(485\) | −72.5199 | − | 168.938i | −0.149526 | − | 0.348325i | ||||
\(486\) | −64.5960 | + | 198.806i | −0.132914 | + | 0.409066i | ||||
\(487\) | 356.586 | + | 181.689i | 0.732209 | + | 0.373079i | 0.780001 | − | 0.625778i | \(-0.215219\pi\) |
−0.0477923 | + | 0.998857i | \(0.515219\pi\) | |||||||
\(488\) | 301.005 | − | 590.756i | 0.616813 | − | 1.21056i | ||||
\(489\) | 554.514 | + | 180.173i | 1.13398 | + | 0.368451i | ||||
\(490\) | −39.9356 | − | 45.5660i | −0.0815012 | − | 0.0929919i | ||||
\(491\) | −204.267 | − | 628.670i | −0.416023 | − | 1.28039i | −0.911333 | − | 0.411671i | \(-0.864945\pi\) |
0.495310 | − | 0.868716i | \(-0.335055\pi\) | |||||||
\(492\) | −52.1616 | + | 329.336i | −0.106020 | + | 0.669381i | ||||
\(493\) | 8.95348 | + | 8.95348i | 0.0181612 | + | 0.0181612i | ||||
\(494\) | 122.470 | + | 168.566i | 0.247915 | + | 0.341226i | ||||
\(495\) | −379.106 | + | 96.1568i | −0.765871 | + | 0.194256i | ||||
\(496\) | −90.7701 | − | 65.9484i | −0.183004 | − | 0.132960i | ||||
\(497\) | −354.222 | + | 56.1032i | −0.712720 | + | 0.112884i | ||||
\(498\) | 90.2470 | − | 45.9832i | 0.181219 | − | 0.0923356i | ||||
\(499\) | 608.633i | 1.21971i | 0.792514 | + | 0.609853i | \(0.208772\pi\) | ||||
−0.792514 | + | 0.609853i | \(0.791228\pi\) | |||||||
\(500\) | −402.357 | + | 47.2464i | −0.804714 | + | 0.0944929i | ||||
\(501\) | −1.21023 | −0.00241563 | ||||||||
\(502\) | −25.8394 | − | 50.7127i | −0.0514729 | − | 0.101021i | ||||
\(503\) | 71.0647 | + | 448.685i | 0.141282 | + | 0.892018i | 0.951892 | + | 0.306432i | \(0.0991353\pi\) |
−0.810611 | + | 0.585585i | \(0.800865\pi\) | |||||||
\(504\) | 159.071 | − | 218.943i | 0.315617 | − | 0.434410i | ||||
\(505\) | −94.0655 | − | 370.861i | −0.186268 | − | 0.734378i | ||||
\(506\) | −53.7426 | + | 39.0463i | −0.106211 | + | 0.0771666i | ||||
\(507\) | 27.8533 | − | 27.8533i | 0.0549375 | − | 0.0549375i | ||||
\(508\) | 507.808 | + | 80.4289i | 0.999622 | + | 0.158325i | ||||
\(509\) | −466.349 | + | 151.526i | −0.916207 | + | 0.297694i | −0.728910 | − | 0.684610i | \(-0.759973\pi\) |
−0.187297 | + | 0.982303i | \(0.559973\pi\) | |||||||
\(510\) | −5.86379 | + | 5.13922i | −0.0114976 | + | 0.0100769i | ||||
\(511\) | −131.546 | + | 404.856i | −0.257428 | + | 0.792283i | ||||
\(512\) | 379.097 | + | 193.159i | 0.740423 | + | 0.377264i | ||||
\(513\) | −243.521 | + | 477.936i | −0.474699 | + | 0.931649i | ||||
\(514\) | −343.565 | − | 111.631i | −0.668415 | − | 0.217181i | ||||
\(515\) | 352.278 | − | 151.222i | 0.684034 | − | 0.293636i | ||||
\(516\) | −9.31650 | − | 28.6732i | −0.0180552 | − | 0.0555683i | ||||
\(517\) | −150.182 | + | 948.210i | −0.290487 | + | 1.83406i | ||||
\(518\) | 316.444 | + | 316.444i | 0.610896 | + | 0.610896i | ||||
\(519\) | 151.526 | + | 208.558i | 0.291958 | + | 0.401846i | ||||
\(520\) | −356.627 | − | 142.407i | −0.685822 | − | 0.273859i | ||||
\(521\) | 232.370 | + | 168.827i | 0.446008 | + | 0.324044i | 0.788018 | − | 0.615653i | \(-0.211108\pi\) |
−0.342009 | + | 0.939696i | \(0.611108\pi\) | |||||||
\(522\) | 62.3932 | − | 9.88210i | 0.119527 | − | 0.0189312i | ||||
\(523\) | 45.9244 | − | 23.3997i | 0.0878096 | − | 0.0447412i | −0.409534 | − | 0.912295i | \(-0.634309\pi\) |
0.497344 | + | 0.867554i | \(0.334309\pi\) | |||||||
\(524\) | − | 379.507i | − | 0.724251i | ||||||
\(525\) | −372.528 | − | 49.2769i | −0.709576 | − | 0.0938607i | ||||
\(526\) | −217.038 | −0.412621 | ||||||||
\(527\) | −6.44242 | − | 12.6440i | −0.0122247 | − | 0.0239923i | ||||
\(528\) | −32.0179 | − | 202.153i | −0.0606399 | − | 0.382865i | ||||
\(529\) | −294.600 | + | 405.482i | −0.556900 | + | 0.766507i | ||||
\(530\) | −141.496 | − | 117.755i | −0.266974 | − | 0.222178i | ||||
\(531\) | −164.051 | + | 119.190i | −0.308946 | + | 0.224463i | ||||
\(532\) | 357.071 | − | 357.071i | 0.671185 | − | 0.671185i | ||||
\(533\) | −652.800 | − | 103.393i | −1.22477 | − | 0.193984i | ||||
\(534\) | −80.6160 | + | 26.1937i | −0.150966 | + | 0.0490519i | ||||
\(535\) | −224.674 | − | 133.760i | −0.419951 | − | 0.250019i | ||||
\(536\) | 87.9350 | − | 270.636i | 0.164058 | − | 0.504918i | ||||
\(537\) | 72.0952 | + | 36.7343i | 0.134255 | + | 0.0684066i | ||||
\(538\) | −50.8114 | + | 99.7230i | −0.0944450 | + | 0.185359i | ||||
\(539\) | 191.314 | + | 62.1616i | 0.354942 | + | 0.115328i | ||||
\(540\) | −40.3527 | − | 440.640i | −0.0747272 | − | 0.815999i | ||||
\(541\) | −306.990 | − | 944.819i | −0.567450 | − | 1.74643i | −0.660559 | − | 0.750775i | \(-0.729680\pi\) |
0.0931088 | − | 0.995656i | \(-0.470320\pi\) | |||||||
\(542\) | 2.23835 | − | 14.1324i | 0.00412980 | − | 0.0260746i | ||||
\(543\) | 243.171 | + | 243.171i | 0.447829 | + | 0.447829i | ||||
\(544\) | 17.6212 | + | 24.2535i | 0.0323919 | + | 0.0445836i | ||||
\(545\) | −77.4402 | − | 122.819i | −0.142092 | − | 0.225356i | ||||
\(546\) | −128.978 | − | 93.7083i | −0.236224 | − | 0.171627i | ||||
\(547\) | 120.296 | − | 19.0530i | 0.219919 | − | 0.0348318i | −0.0455024 | − | 0.998964i | \(-0.514489\pi\) |
0.265422 | + | 0.964132i | \(0.414489\pi\) | |||||||
\(548\) | −523.245 | + | 266.607i | −0.954827 | + | 0.486508i | ||||
\(549\) | 568.448i | 1.03542i | ||||||||
\(550\) | −250.023 | + | 191.606i | −0.454588 | + | 0.348374i | ||||
\(551\) | 263.351 | 0.477951 | ||||||||
\(552\) | −28.6150 | − | 56.1600i | −0.0518387 | − | 0.101739i | ||||
\(553\) | 149.005 | + | 940.779i | 0.269448 | + | 1.70123i | ||||
\(554\) | −2.53225 | + | 3.48534i | −0.00457084 | + | 0.00629122i | ||||
\(555\) | 612.329 | + | 40.3229i | 1.10330 | + | 0.0726539i | ||||
\(556\) | −182.818 | + | 132.825i | −0.328810 | + | 0.238895i | ||||
\(557\) | 576.978 | − | 576.978i | 1.03587 | − | 1.03587i | 0.0365353 | − | 0.999332i | \(-0.488368\pi\) |
0.999332 | − | 0.0365353i | \(-0.0116321\pi\) | |||||||
\(558\) | −69.9250 | − | 11.0750i | −0.125314 | − | 0.0198477i | ||||
\(559\) | 56.8353 | − | 18.4669i | 0.101673 | − | 0.0330356i | ||||
\(560\) | −65.4492 | + | 288.832i | −0.116874 | + | 0.515771i | ||||
\(561\) | 7.99944 | − | 24.6197i | 0.0142592 | − | 0.0438854i | ||||
\(562\) | 57.7493 | + | 29.4247i | 0.102757 | + | 0.0523571i | ||||
\(563\) | 447.785 | − | 878.827i | 0.795355 | − | 1.56097i | −0.0321302 | − | 0.999484i | \(-0.510229\pi\) |
0.827485 | − | 0.561488i | \(-0.189771\pi\) | |||||||
\(564\) | −387.752 | − | 125.988i | −0.687504 | − | 0.223384i | ||||
\(565\) | 16.8113 | + | 3.80944i | 0.0297545 | + | 0.00674237i | ||||
\(566\) | 32.9587 | + | 101.437i | 0.0582310 | + | 0.179217i | ||||
\(567\) | 3.80722 | − | 24.0378i | 0.00671467 | − | 0.0423948i | ||||
\(568\) | −201.702 | − | 201.702i | −0.355108 | − | 0.355108i | ||||
\(569\) | 176.314 | + | 242.675i | 0.309866 | + | 0.426495i | 0.935340 | − | 0.353751i | \(-0.115094\pi\) |
−0.625473 | + | 0.780246i | \(0.715094\pi\) | |||||||
\(570\) | −10.6559 | + | 161.817i | −0.0186946 | + | 0.283890i | ||||
\(571\) | −212.912 | − | 154.690i | −0.372876 | − | 0.270910i | 0.385527 | − | 0.922697i | \(-0.374020\pi\) |
−0.758402 | + | 0.651787i | \(0.774020\pi\) | |||||||
\(572\) | 563.612 | − | 89.2674i | 0.985336 | − | 0.156062i | ||||
\(573\) | 94.9442 | − | 48.3765i | 0.165697 | − | 0.0844267i | ||||
\(574\) | − | 375.147i | − | 0.653566i | ||||||
\(575\) | 74.7219 | − | 108.578i | 0.129951 | − | 0.188832i | ||||
\(576\) | −11.9989 | −0.0208313 | ||||||||
\(577\) | 205.720 | + | 403.749i | 0.356535 | + | 0.699739i | 0.997709 | − | 0.0676569i | \(-0.0215523\pi\) |
−0.641174 | + | 0.767396i | \(0.721552\pi\) | |||||||
\(578\) | −39.2660 | − | 247.916i | −0.0679343 | − | 0.428920i | ||||
\(579\) | −234.561 | + | 322.846i | −0.405115 | + | 0.557593i | ||||
\(580\) | −183.763 | + | 115.867i | −0.316833 | + | 0.199771i | ||||
\(581\) | 393.649 | − | 286.003i | 0.677537 | − | 0.492259i | ||||
\(582\) | 42.9264 | − | 42.9264i | 0.0737567 | − | 0.0737567i | ||||
\(583\) | 603.642 | + | 95.6075i | 1.03541 | + | 0.163992i | ||||
\(584\) | −322.011 | + | 104.628i | −0.551388 | + | 0.179157i | ||||
\(585\) | 327.862 | − | 30.0248i | 0.560448 | − | 0.0513245i | ||||
\(586\) | 139.330 | − | 428.813i | 0.237764 | − | 0.731764i | ||||
\(587\) | −542.594 | − | 276.465i | −0.924351 | − | 0.470980i | −0.0740364 | − | 0.997256i | \(-0.523588\pi\) |
−0.850314 | + | 0.526275i | \(0.823588\pi\) | |||||||
\(588\) | −38.7838 | + | 76.1175i | −0.0659588 | + | 0.129451i | ||||
\(589\) | −280.696 | − | 91.2038i | −0.476564 | − | 0.154845i | ||||
\(590\) | −83.5455 | + | 140.329i | −0.141603 | + | 0.237846i | ||||
\(591\) | 164.376 | + | 505.896i | 0.278131 | + | 0.856000i | ||||
\(592\) | 75.6572 | − | 477.681i | 0.127799 | − | 0.806893i | ||||
\(593\) | 173.944 | + | 173.944i | 0.293329 | + | 0.293329i | 0.838394 | − | 0.545065i | \(-0.183495\pi\) |
−0.545065 | + | 0.838394i | \(0.683495\pi\) | |||||||
\(594\) | −202.227 | − | 278.342i | −0.340450 | − | 0.468589i | ||||
\(595\) | −23.9604 | + | 28.7913i | −0.0402697 | + | 0.0483888i | ||||
\(596\) | 422.942 | + | 307.286i | 0.709635 | + | 0.515580i | ||||
\(597\) | −229.208 | + | 36.3030i | −0.383933 | + | 0.0608090i | ||||
\(598\) | 49.8250 | − | 25.3871i | 0.0833194 | − | 0.0424533i | ||||
\(599\) | − | 46.7267i | − | 0.0780079i | −0.999239 | − | 0.0390039i | \(-0.987582\pi\) | ||
0.999239 | − | 0.0390039i | \(-0.0124185\pi\) | |||||||
\(600\) | −142.451 | − | 262.747i | −0.237418 | − | 0.437911i | ||||
\(601\) | −76.3417 | −0.127025 | −0.0635123 | − | 0.997981i | \(-0.520230\pi\) | ||||
−0.0635123 | + | 0.997981i | \(0.520230\pi\) | |||||||
\(602\) | 15.3992 | + | 30.2227i | 0.0255801 | + | 0.0502039i | ||||
\(603\) | 38.1659 | + | 240.970i | 0.0632934 | + | 0.399619i | ||||
\(604\) | 254.298 | − | 350.011i | 0.421023 | − | 0.579489i | ||||
\(605\) | 163.469 | − | 409.372i | 0.270196 | − | 0.676648i | ||||
\(606\) | 102.210 | − | 74.2602i | 0.168664 | − | 0.122542i | ||||
\(607\) | −126.996 | + | 126.996i | −0.209220 | + | 0.209220i | −0.803936 | − | 0.594716i | \(-0.797264\pi\) |
0.594716 | + | 0.803936i | \(0.297264\pi\) | |||||||
\(608\) | 615.836 | + | 97.5388i | 1.01289 | + | 0.160426i | ||||
\(609\) | −191.642 | + | 62.2681i | −0.314682 | + | 0.102246i | ||||
\(610\) | 180.595 | + | 420.702i | 0.296057 | + | 0.689675i | ||||
\(611\) | 249.731 | − | 768.592i | 0.408725 | − | 1.25792i | ||||
\(612\) | −14.7521 | − | 7.51658i | −0.0241048 | − | 0.0122820i | ||||
\(613\) | −160.158 | + | 314.328i | −0.261269 | + | 0.512770i | −0.983957 | − | 0.178405i | \(-0.942906\pi\) |
0.722688 | + | 0.691175i | \(0.242906\pi\) | |||||||
\(614\) | 148.846 | + | 48.3628i | 0.242419 | + | 0.0787668i | ||||
\(615\) | −339.059 | − | 386.862i | −0.551315 | − | 0.629044i | ||||
\(616\) | 223.617 | + | 688.223i | 0.363015 | + | 1.11724i | ||||
\(617\) | 41.9822 | − | 265.065i | 0.0680425 | − | 0.429603i | −0.930027 | − | 0.367492i | \(-0.880217\pi\) |
0.998069 | − | 0.0621114i | \(-0.0197834\pi\) | |||||||
\(618\) | 89.5124 | + | 89.5124i | 0.144842 | + | 0.144842i | ||||
\(619\) | −15.8671 | − | 21.8392i | −0.0256335 | − | 0.0352815i | 0.796008 | − | 0.605286i | \(-0.206941\pi\) |
−0.821641 | + | 0.570005i | \(0.806941\pi\) | |||||||
\(620\) | 235.993 | − | 59.8576i | 0.380635 | − | 0.0965445i | ||||
\(621\) | 116.467 | + | 84.6180i | 0.187547 | + | 0.136261i | ||||
\(622\) | −10.1911 | + | 1.61411i | −0.0163844 | + | 0.00259504i | ||||
\(623\) | −362.824 | + | 184.868i | −0.582381 | + | 0.296738i | ||||
\(624\) | 172.292i | 0.276109i | ||||||||
\(625\) | 341.043 | − | 523.751i | 0.545668 | − | 0.838001i | ||||
\(626\) | 149.414 | 0.238681 | ||||||||
\(627\) | −244.429 | − | 479.718i | −0.389838 | − | 0.765101i | ||||
\(628\) | −106.190 | − | 670.458i | −0.169092 | − | 1.06761i | ||||
\(629\) | 35.9545 | − | 49.4872i | 0.0571614 | − | 0.0786760i | ||||
\(630\) | 45.9437 | + | 181.137i | 0.0729265 | + | 0.287519i | ||||
\(631\) | −945.873 | + | 687.217i | −1.49901 | + | 1.08909i | −0.528232 | + | 0.849100i | \(0.677145\pi\) |
−0.970775 | + | 0.239992i | \(0.922855\pi\) | |||||||
\(632\) | −535.700 | + | 535.700i | −0.847627 | + | 0.847627i | ||||
\(633\) | −348.501 | − | 55.1971i | −0.550554 | − | 0.0871992i | ||||
\(634\) | 62.9516 | − | 20.4542i | 0.0992927 | − | 0.0322621i | ||||
\(635\) | −596.509 | + | 522.800i | −0.939384 | + | 0.823307i | ||||
\(636\) | −80.2057 | + | 246.848i | −0.126110 | + | 0.388125i | ||||
\(637\) | −150.878 | − | 76.8762i | −0.236857 | − | 0.120685i | ||||
\(638\) | −76.6856 | + | 150.504i | −0.120197 | + | 0.235900i | ||||
\(639\) | 232.592 | + | 75.5737i | 0.363993 | + | 0.118269i | ||||
\(640\) | −592.207 | + | 254.217i | −0.925324 | + | 0.397214i | ||||
\(641\) | 1.53254 | + | 4.71668i | 0.00239086 | + | 0.00735831i | 0.952245 | − | 0.305336i | \(-0.0987686\pi\) |
−0.949854 | + | 0.312694i | \(0.898769\pi\) | |||||||
\(642\) | 13.5068 | − | 85.2787i | 0.0210387 | − | 0.132833i | ||||
\(643\) | −750.489 | − | 750.489i | −1.16717 | − | 1.16717i | −0.982871 | − | 0.184297i | \(-0.940999\pi\) |
−0.184297 | − | 0.982871i | \(-0.559001\pi\) | |||||||
\(644\) | −79.6605 | − | 109.643i | −0.123696 | − | 0.170253i | ||||
\(645\) | 43.1955 | + | 17.2486i | 0.0669698 | + | 0.0267421i | ||||
\(646\) | 13.0777 | + | 9.50153i | 0.0202442 | + | 0.0147082i | ||||
\(647\) | −919.207 | + | 145.588i | −1.42072 | + | 0.225020i | −0.819049 | − | 0.573723i | \(-0.805498\pi\) |
−0.601672 | + | 0.798743i | \(0.705498\pi\) | |||||||
\(648\) | 17.2475 | − | 8.78803i | 0.0266165 | − | 0.0135618i | ||||
\(649\) | − | 542.213i | − | 0.835460i | ||||||
\(650\) | 233.108 | − | 126.382i | 0.358628 | − | 0.194434i | ||||
\(651\) | 225.828 | 0.346895 | ||||||||
\(652\) | 452.689 | + | 888.452i | 0.694308 | + | 1.36266i | ||||
\(653\) | 76.1349 | + | 480.697i | 0.116592 | + | 0.736136i | 0.974841 | + | 0.222901i | \(0.0715528\pi\) |
−0.858249 | + | 0.513234i | \(0.828447\pi\) | |||||||
\(654\) | 28.1810 | − | 38.7878i | 0.0430902 | − | 0.0593086i | ||||
\(655\) | 450.030 | + | 374.519i | 0.687068 | + | 0.571785i | ||||
\(656\) | −327.993 | + | 238.301i | −0.499989 | + | 0.363264i | ||||
\(657\) | 205.264 | − | 205.264i | 0.312426 | − | 0.312426i | ||||
\(658\) | 453.054 | + | 71.7568i | 0.688532 | + | 0.109053i | ||||
\(659\) | 1117.29 | − | 363.029i | 1.69543 | − | 0.550879i | 0.707628 | − | 0.706585i | \(-0.249765\pi\) |
0.987804 | + | 0.155705i | \(0.0497651\pi\) | |||||||
\(660\) | 381.621 | + | 227.200i | 0.578214 | + | 0.344242i | ||||
\(661\) | −218.229 | + | 671.641i | −0.330150 | + | 1.01610i | 0.638912 | + | 0.769280i | \(0.279385\pi\) |
−0.969062 | + | 0.246818i | \(0.920615\pi\) | |||||||
\(662\) | −329.350 | − | 167.812i | −0.497508 | − | 0.253493i | ||||
\(663\) | −9.89302 | + | 19.4161i | −0.0149216 | + | 0.0292853i | ||||
\(664\) | 368.067 | + | 119.592i | 0.554318 | + | 0.180109i | ||||
\(665\) | 71.0460 | + | 775.801i | 0.106836 | + | 1.16662i | ||||
\(666\) | −94.3034 | − | 290.236i | −0.141597 | − | 0.435790i | ||||
\(667\) | 11.0566 | − | 69.8088i | 0.0165767 | − | 0.104661i | ||||
\(668\) | −1.46352 | − | 1.46352i | −0.00219090 | − | 0.00219090i | ||||
\(669\) | 207.670 | + | 285.833i | 0.310418 | + | 0.427254i | ||||
\(670\) | 104.802 | + | 166.214i | 0.156421 | + | 0.248080i | ||||
\(671\) | −1229.70 | − | 893.428i | −1.83264 | − | 1.33149i | ||||
\(672\) | −471.208 | + | 74.6321i | −0.701203 | + | 0.111060i | ||||
\(673\) | 576.463 | − | 293.723i | 0.856558 | − | 0.436438i | 0.0301736 | − | 0.999545i | \(-0.490394\pi\) |
0.826384 | + | 0.563107i | \(0.190394\pi\) | |||||||
\(674\) | 121.521i | 0.180298i | ||||||||
\(675\) | 562.344 | + | 386.997i | 0.833103 | + | 0.573329i | ||||
\(676\) | 67.3657 | 0.0996535 | ||||||||
\(677\) | 442.948 | + | 869.334i | 0.654280 | + | 1.28410i | 0.944932 | + | 0.327268i | \(0.106128\pi\) |
−0.290652 | + | 0.956829i | \(0.593872\pi\) | |||||||
\(678\) | 0.890419 | + | 5.62189i | 0.00131330 | + | 0.00829187i | ||||
\(679\) | 171.419 | − | 235.937i | 0.252457 | − | 0.347478i | ||||
\(680\) | −29.7280 | − | 1.95764i | −0.0437176 | − | 0.00287888i | ||||
\(681\) | 130.384 | − | 94.7294i | 0.191459 | − | 0.139103i | ||||
\(682\) | 133.859 | − | 133.859i | 0.196274 | − | 0.196274i | ||||
\(683\) | −1038.24 | − | 164.442i | −1.52012 | − | 0.240764i | −0.660161 | − | 0.751124i | \(-0.729512\pi\) |
−0.859961 | + | 0.510360i | \(0.829512\pi\) | |||||||
\(684\) | −327.498 | + | 106.410i | −0.478798 | + | 0.155571i | ||||
\(685\) | 200.219 | − | 883.580i | 0.292290 | − | 1.28990i | ||||
\(686\) | −74.9311 | + | 230.614i | −0.109229 | + | 0.336173i | ||||
\(687\) | −377.342 | − | 192.265i | −0.549260 | − | 0.279862i | ||||
\(688\) | 16.6420 | − | 32.6617i | 0.0241889 | − | 0.0474735i | ||||
\(689\) | −489.295 | − | 158.982i | −0.710152 | − | 0.230742i | ||||
\(690\) | 42.4469 | + | 9.61846i | 0.0615173 | + | 0.0139398i | ||||
\(691\) | 299.045 | + | 920.367i | 0.432772 | + | 1.33193i | 0.895353 | + | 0.445358i | \(0.146923\pi\) |
−0.462581 | + | 0.886577i | \(0.653077\pi\) | |||||||
\(692\) | −68.9682 | + | 435.448i | −0.0996651 | + | 0.629261i | ||||
\(693\) | −438.704 | − | 438.704i | −0.633050 | − | 0.633050i | ||||
\(694\) | −229.918 | − | 316.455i | −0.331294 | − | 0.455987i | ||||
\(695\) | 22.9079 | − | 347.871i | 0.0329610 | − | 0.500533i | ||||
\(696\) | −129.661 | − | 94.2044i | −0.186295 | − | 0.135351i | ||||
\(697\) | −50.6459 | + | 8.02152i | −0.0726627 | + | 0.0115086i | ||||
\(698\) | 98.9713 | − | 50.4284i | 0.141793 | − | 0.0722470i | ||||
\(699\) | − | 117.701i | − | 0.168385i | ||||||
\(700\) | −390.905 | − | 510.086i | −0.558436 | − | 0.728694i | ||||
\(701\) | 802.003 | 1.14408 | 0.572042 | − | 0.820224i | \(-0.306151\pi\) | ||||
0.572042 | + | 0.820224i | \(0.306151\pi\) | |||||||
\(702\) | 131.484 | + | 258.052i | 0.187299 | + | 0.367595i | ||||
\(703\) | −199.020 | − | 1256.56i | −0.283100 | − | 1.78743i | ||||
\(704\) | 18.8586 | − | 25.9566i | 0.0267877 | − | 0.0368702i | ||||
\(705\) | 532.056 | − | 335.474i | 0.754690 | − | 0.475850i | ||||
\(706\) | −336.314 | + | 244.346i | −0.476365 | + | 0.346099i | ||||
\(707\) | 429.162 | − | 429.162i | 0.607019 | − | 0.607019i | ||||
\(708\) | 227.433 | + | 36.0219i | 0.321233 | + | 0.0508783i | ||||
\(709\) | 1339.27 | − | 435.155i | 1.88896 | − | 0.613759i | 0.908193 | − | 0.418551i | \(-0.137462\pi\) |
0.980762 | − | 0.195208i | \(-0.0625383\pi\) | |||||||
\(710\) | 196.148 | − | 17.9628i | 0.276265 | − | 0.0252997i | ||||
\(711\) | 200.716 | − | 617.742i | 0.282302 | − | 0.868835i | ||||
\(712\) | −288.579 | − | 147.038i | −0.405307 | − | 0.206514i | ||||
\(713\) | −35.9611 | + | 70.5776i | −0.0504363 | + | 0.0989868i | ||||
\(714\) | −11.7633 | − | 3.82213i | −0.0164752 | − | 0.00535312i | ||||
\(715\) | −450.349 | + | 756.440i | −0.629859 | + | 1.05796i | ||||
\(716\) | 42.7617 | + | 131.607i | 0.0597230 | + | 0.183808i | ||||
\(717\) | −11.3974 | + | 71.9601i | −0.0158959 | + | 0.100363i | ||||
\(718\) | −252.080 | − | 252.080i | −0.351086 | − | 0.351086i | ||||
\(719\) | 87.1456 | + | 119.946i | 0.121204 | + | 0.166823i | 0.865308 | − | 0.501241i | \(-0.167123\pi\) |
−0.744104 | + | 0.668064i | \(0.767123\pi\) | |||||||
\(720\) | 129.185 | − | 155.231i | 0.179423 | − | 0.215598i | ||||
\(721\) | 491.989 | + | 357.451i | 0.682370 | + | 0.495771i | ||||
\(722\) | 21.4257 | − | 3.39350i | 0.0296755 | − | 0.00470014i | ||||
\(723\) | 167.529 | − | 85.3603i | 0.231714 | − | 0.118064i | ||||
\(724\) | 588.131i | 0.812336i | ||||||||
\(725\) | 43.9497 | − | 332.255i | 0.0606203 | − | 0.458283i | ||||
\(726\) | 145.557 | 0.200491 | ||||||||
\(727\) | 138.831 | + | 272.472i | 0.190965 | + | 0.374789i | 0.966560 | − | 0.256441i | \(-0.0825501\pi\) |
−0.775595 | + | 0.631231i | \(0.782550\pi\) | |||||||
\(728\) | −95.2928 | − | 601.655i | −0.130897 | − | 0.826450i | ||||
\(729\) | −283.497 | + | 390.200i | −0.388885 | + | 0.535254i | ||||
\(730\) | 86.7015 | − | 217.125i | 0.118769 | − | 0.297432i | ||||
\(731\) | 3.75088 | − | 2.72517i | 0.00513116 | − | 0.00372801i | ||||
\(732\) | 456.446 | − | 456.446i | 0.623560 | − | 0.623560i | ||||
\(733\) | −253.788 | − | 40.1961i | −0.346232 | − | 0.0548378i | −0.0191034 | − | 0.999818i | \(-0.506081\pi\) |
−0.327129 | + | 0.944980i | \(0.606081\pi\) | |||||||
\(734\) | −98.9271 | + | 32.1434i | −0.134778 | + | 0.0437920i | ||||
\(735\) | −51.9880 | − | 121.108i | −0.0707320 | − | 0.164773i | ||||
\(736\) | 51.7110 | − | 159.150i | 0.0702595 | − | 0.216236i | ||||
\(737\) | −581.265 | − | 296.169i | −0.788691 | − | 0.401858i | ||||
\(738\) | −116.140 | + | 227.937i | −0.157371 | + | 0.308858i | ||||
\(739\) | 49.8443 | + | 16.1954i | 0.0674483 | + | 0.0219153i | 0.342547 | − | 0.939501i | \(-0.388710\pi\) |
−0.275098 | + | 0.961416i | \(0.588710\pi\) | |||||||
\(740\) | 691.724 | + | 789.248i | 0.934762 | + | 1.06655i | ||||
\(741\) | 140.053 | + | 431.039i | 0.189006 | + | 0.581699i | ||||
\(742\) | 45.6812 | − | 288.420i | 0.0615650 | − | 0.388706i | ||||
\(743\) | 833.010 | + | 833.010i | 1.12114 | + | 1.12114i | 0.991570 | + | 0.129574i | \(0.0413609\pi\) |
0.129574 | + | 0.991570i | \(0.458639\pi\) | |||||||
\(744\) | 105.576 | + | 145.313i | 0.141904 | + | 0.195314i | ||||
\(745\) | −781.771 | + | 198.289i | −1.04936 | + | 0.266160i | ||||
\(746\) | 181.005 | + | 131.508i | 0.242634 | + | 0.176284i | ||||
\(747\) | −327.721 | + | 51.9059i | −0.438716 | + | 0.0694858i | ||||
\(748\) | 39.4462 | − | 20.0988i | 0.0527355 | − | 0.0268701i | ||||
\(749\) | − | 414.782i | − | 0.553782i | ||||||
\(750\) | 202.377 | + | 40.4491i | 0.269836 | + | 0.0539321i | ||||
\(751\) | −635.244 | −0.845865 | −0.422932 | − | 0.906161i | \(-0.638999\pi\) | ||||
−0.422932 | + | 0.906161i | \(0.638999\pi\) | |||||||
\(752\) | −225.052 | − | 441.689i | −0.299271 | − | 0.587353i | ||||
\(753\) | −19.3672 | − | 122.280i | −0.0257201 | − | 0.162390i | ||||
\(754\) | 83.5778 | − | 115.035i | 0.110846 | − | 0.152566i | ||||
\(755\) | 164.097 | + | 646.964i | 0.217347 | + | 0.856906i | ||||
\(756\) | 567.860 | − | 412.575i | 0.751138 | − | 0.545734i | ||||
\(757\) | 490.741 | − | 490.741i | 0.648270 | − | 0.648270i | −0.304304 | − | 0.952575i | \(-0.598424\pi\) |
0.952575 | + | 0.304304i | \(0.0984240\pi\) | |||||||
\(758\) | −212.747 | − | 33.6959i | −0.280669 | − | 0.0444537i | ||||
\(759\) | −137.425 | + | 44.6522i | −0.181061 | + | 0.0588303i | ||||
\(760\) | −465.988 | + | 408.408i | −0.613143 | + | 0.537379i | ||||
\(761\) | −16.2710 | + | 50.0771i | −0.0213811 | + | 0.0658044i | −0.961178 | − | 0.275930i | \(-0.911014\pi\) |
0.939797 | + | 0.341734i | \(0.111014\pi\) | |||||||
\(762\) | −233.369 | − | 118.907i | −0.306258 | − | 0.156046i | ||||
\(763\) | 104.564 | − | 205.219i | 0.137044 | − | 0.268964i | ||||
\(764\) | 173.317 | + | 56.3141i | 0.226855 | + | 0.0737095i | ||||
\(765\) | 23.4716 | − | 10.0757i | 0.0306818 | − | 0.0131708i | ||||
\(766\) | −69.2693 | − | 213.189i | −0.0904299 | − | 0.278315i | ||||
\(767\) | −71.4016 | + | 450.812i | −0.0930920 | + | 0.587760i | ||||
\(768\) | −138.587 | − | 138.587i | −0.180451 | − | 0.180451i | ||||
\(769\) | −613.908 | − | 844.972i | −0.798320 | − | 1.09879i | −0.993022 | − | 0.117931i | \(-0.962374\pi\) |
0.194702 | − | 0.980862i | \(-0.437626\pi\) | |||||||
\(770\) | −464.055 | − | 185.304i | −0.602669 | − | 0.240655i | ||||
\(771\) | −635.711 | − | 461.871i | −0.824528 | − | 0.599055i | ||||
\(772\) | −674.070 | + | 106.762i | −0.873147 | + | 0.138293i | ||||
\(773\) | −633.871 | + | 322.973i | −0.820014 | + | 0.417818i | −0.813076 | − | 0.582158i | \(-0.802209\pi\) |
−0.00693843 | + | 0.999976i | \(0.502209\pi\) | |||||||
\(774\) | − | 23.1305i | − | 0.0298844i | ||||||
\(775\) | −161.911 | + | 338.918i | −0.208917 | + | 0.437314i | ||||
\(776\) | 231.957 | 0.298914 | ||||||||
\(777\) | 441.935 | + | 867.346i | 0.568771 | + | 1.11628i | ||||
\(778\) | 72.8457 | + | 459.929i | 0.0936320 | + | 0.591169i | ||||
\(779\) | −626.861 | + | 862.800i | −0.804699 | + | 1.10757i | ||||
\(780\) | −287.372 | − | 239.154i | −0.368426 | − | 0.306608i | ||||
\(781\) | −529.049 | + | 384.377i | −0.677400 | + | 0.492160i | ||||
\(782\) | 3.06771 | − | 3.06771i | 0.00392291 | − | 0.00392291i | ||||
\(783\) | 361.551 | + | 57.2641i | 0.461751 | + | 0.0731342i | ||||
\(784\) | −98.7866 | + | 32.0977i | −0.126003 | + | 0.0409409i | ||||
\(785\) | 899.840 | + | 535.723i | 1.14629 | + | 0.682449i | ||||
\(786\) | −59.7427 | + | 183.869i | −0.0760085 | + | 0.233930i | ||||
\(787\) | 709.028 | + | 361.268i | 0.900925 | + | 0.459044i | 0.842160 | − | 0.539228i | \(-0.181284\pi\) |
0.0587649 | + | 0.998272i | \(0.481284\pi\) | |||||||
\(788\) | −412.999 | + | 810.556i | −0.524110 | + | 1.02862i | ||||
\(789\) | −448.996 | − | 145.888i | −0.569069 | − | 0.184902i | ||||
\(790\) | −47.7074 | − | 520.951i | −0.0603891 | − | 0.659431i | ||||
\(791\) | 8.44975 | + | 26.0057i | 0.0106824 | + | 0.0328770i | ||||
\(792\) | 77.1948 | − | 487.389i | 0.0974682 | − | 0.615390i | ||||
\(793\) | 904.755 | + | 904.755i | 1.14093 | + | 1.14093i | ||||
\(794\) | −66.7958 | − | 91.9365i | −0.0841256 | − | 0.115789i | ||||
\(795\) | −213.567 | − | 338.713i | −0.268638 | − | 0.426054i | ||||
\(796\) | −321.081 | − | 233.279i | −0.403368 | − | 0.293064i | ||||
\(797\) | 180.384 | − | 28.5701i | 0.226329 | − | 0.0358470i | −0.0422397 | − | 0.999108i | \(-0.513449\pi\) |
0.268569 | + | 0.963260i | \(0.413449\pi\) | |||||||
\(798\) | −229.209 | + | 116.788i | −0.287230 | + | 0.146351i | ||||
\(799\) | − | 62.6979i | − | 0.0784705i | ||||||
\(800\) | 225.834 | − | 760.687i | 0.282292 | − | 0.950859i | ||||
\(801\) | 277.682 | 0.346669 | ||||||||
\(802\) | 313.107 | + | 614.508i | 0.390408 | + | 0.766219i | ||||
\(803\) | 121.426 | + | 766.651i | 0.151215 | + | 0.954734i | ||||
\(804\) | 162.845 | − | 224.138i | 0.202544 | − | 0.278778i | ||||
\(805\) | 208.631 | + | 13.7387i | 0.259169 | + | 0.0170667i | ||||
\(806\) | −128.922 | + | 93.6670i | −0.159952 | + | 0.116212i | ||||
\(807\) | −172.147 | + | 172.147i | −0.213317 | + | 0.213317i | ||||
\(808\) | 476.788 | + | 75.5159i | 0.590085 | + | 0.0934602i | ||||
\(809\) | −775.024 | + | 251.821i | −0.958003 | + | 0.311274i | −0.745963 | − | 0.665987i | \(-0.768011\pi\) |
−0.212040 | + | 0.977261i | \(0.568011\pi\) | |||||||
\(810\) | −2.95395 | + | 13.0360i | −0.00364686 | + | 0.0160938i | ||||
\(811\) | 363.428 | − | 1118.52i | 0.448123 | − | 1.37918i | −0.430899 | − | 0.902400i | \(-0.641804\pi\) |
0.879022 | − | 0.476781i | \(-0.158196\pi\) | |||||||
\(812\) | −307.051 | − | 156.451i | −0.378142 | − | 0.192673i | ||||
\(813\) | 14.1300 | − | 27.7317i | 0.0173801 | − | 0.0341103i | ||||
\(814\) | 776.072 | + | 252.161i | 0.953405 | + | 0.309780i | ||||
\(815\) | −1500.29 | − | 339.965i | −1.84085 | − | 0.417135i | ||||
\(816\) | 4.13058 | + | 12.7126i | 0.00506198 | + | 0.0155792i | ||||
\(817\) | 15.0847 | − | 95.2410i | 0.0184635 | − | 0.116574i | ||||
\(818\) | −9.75499 | − | 9.75499i | −0.0119254 | − | 0.0119254i | ||||
\(819\) | 306.980 | + | 422.522i | 0.374823 | + | 0.515900i | ||||
\(820\) | 57.8080 | − | 877.851i | 0.0704976 | − | 1.07055i | ||||
\(821\) | 353.666 | + | 256.954i | 0.430775 | + | 0.312976i | 0.781959 | − | 0.623330i | \(-0.214221\pi\) |
−0.351184 | + | 0.936307i | \(0.614221\pi\) | |||||||
\(822\) | 295.479 | − | 46.7992i | 0.359463 | − | 0.0569334i | ||||
\(823\) | 1176.87 | − | 599.645i | 1.42997 | − | 0.728609i | 0.444082 | − | 0.895986i | \(-0.353530\pi\) |
0.985893 | + | 0.167377i | \(0.0535299\pi\) | |||||||
\(824\) | 483.690i | 0.587002i | ||||||||
\(825\) | −646.025 | + | 228.323i | −0.783060 | + | 0.276755i | ||||
\(826\) | −259.069 | −0.313643 | ||||||||
\(827\) | −279.354 | − | 548.262i | −0.337792 | − | 0.662953i | 0.658157 | − | 0.752881i | \(-0.271336\pi\) |
−0.995948 | + | 0.0899277i | \(0.971336\pi\) | |||||||
\(828\) | 14.4574 | + | 91.2803i | 0.0174606 | + | 0.110242i | ||||
\(829\) | 263.753 | − | 363.024i | 0.318158 | − | 0.437906i | −0.619746 | − | 0.784802i | \(-0.712764\pi\) |
0.937904 | + | 0.346896i | \(0.112764\pi\) | |||||||
\(830\) | −226.052 | + | 142.531i | −0.272352 | + | 0.171724i | ||||
\(831\) | −7.58131 | + | 5.50814i | −0.00912311 | + | 0.00662833i | ||||
\(832\) | −19.0977 | + | 19.0977i | −0.0229539 | + | 0.0229539i | ||||
\(833\) | −12.9756 | − | 2.05514i | −0.0155770 | − | 0.00246715i | ||||
\(834\) | 109.484 | − | 35.5735i | 0.131276 | − | 0.0426541i | ||||
\(835\) | 3.17977 | − | 0.291196i | 0.00380811 | − | 0.000348738i | ||||
\(836\) | 284.534 | − | 875.706i | 0.340352 | − | 1.04750i | ||||
\(837\) | −365.533 | − | 186.248i | −0.436718 | − | 0.222519i | ||||
\(838\) | 216.974 | − | 425.836i | 0.258919 | − | 0.508158i | ||||
\(839\) | −770.629 | − | 250.392i | −0.918509 | − | 0.298442i | −0.188654 | − | 0.982044i | \(-0.560412\pi\) |
−0.729855 | + | 0.683602i | \(0.760412\pi\) | |||||||
\(840\) | 242.535 | − | 407.380i | 0.288732 | − | 0.484977i | ||||
\(841\) | 204.347 | + | 628.915i | 0.242981 | + | 0.747818i | ||||
\(842\) | 32.9662 | − | 208.140i | 0.0391522 | − | 0.247197i | ||||
\(843\) | 99.6896 | + | 99.6896i | 0.118256 | + | 0.118256i | ||||
\(844\) | −354.690 | − | 488.189i | −0.420249 | − | 0.578423i | ||||
\(845\) | −66.4803 | + | 79.8840i | −0.0786750 | + | 0.0945373i | ||||
\(846\) | −253.058 | − | 183.858i | −0.299124 | − | 0.217326i | ||||
\(847\) | 690.640 | − | 109.387i | 0.815396 | − | 0.129146i | ||||
\(848\) | −281.185 | + | 143.271i | −0.331586 | + | 0.168951i | ||||
\(849\) | 232.000i | 0.273262i | ||||||||
\(850\) | 14.1700 | − | 14.9138i | 0.0166706 | − | 0.0175456i | ||||
\(851\) | −341.443 | −0.401226 | ||||||||
\(852\) | −126.081 | − | 247.447i | −0.147982 | − | 0.290431i | ||||
\(853\) | 175.917 | + | 1110.70i | 0.206234 | + | 1.30211i | 0.845853 | + | 0.533417i | \(0.179092\pi\) |
−0.639619 | + | 0.768692i | \(0.720908\pi\) | |||||||
\(854\) | −426.880 | + | 587.550i | −0.499859 | + | 0.687997i | ||||
\(855\) | 197.009 | − | 493.367i | 0.230420 | − | 0.577038i | ||||
\(856\) | 266.899 | − | 193.914i | 0.311798 | − | 0.226534i | ||||
\(857\) | 870.435 | − | 870.435i | 1.01568 | − | 1.01568i | 0.0158015 | − | 0.999875i | \(-0.494970\pi\) |
0.999875 | − | 0.0158015i | \(-0.00503000\pi\) | |||||||
\(858\) | −287.119 | − | 45.4752i | −0.334638 | − | 0.0530014i | ||||
\(859\) | −1395.30 | + | 453.359i | −1.62433 | + | 0.527775i | −0.972957 | − | 0.230986i | \(-0.925805\pi\) |
−0.651369 | + | 0.758761i | \(0.725805\pi\) | |||||||
\(860\) | 31.3774 | + | 73.0947i | 0.0364854 | + | 0.0849939i | ||||
\(861\) | 252.164 | − | 776.081i | 0.292873 | − | 0.901371i | ||||
\(862\) | 494.403 | + | 251.911i | 0.573553 | + | 0.292240i | ||||
\(863\) | 503.210 | − | 987.606i | 0.583094 | − | 1.14439i | −0.391452 | − | 0.920199i | \(-0.628027\pi\) |
0.974546 | − | 0.224188i | \(-0.0719730\pi\) | |||||||
\(864\) | 824.264 | + | 267.820i | 0.954009 | + | 0.309976i | ||||
\(865\) | −448.304 | − | 511.509i | −0.518271 | − | 0.591340i | ||||
\(866\) | 73.7123 | + | 226.863i | 0.0851181 | + | 0.261967i | ||||
\(867\) | 85.4114 | − | 539.266i | 0.0985137 | − | 0.621991i | ||||
\(868\) | 273.093 | + | 273.093i | 0.314623 | + | 0.314623i | ||||
\(869\) | 1020.87 | + | 1405.10i | 1.17476 | + | 1.61692i | ||||
\(870\) | 107.272 | − | 27.2086i | 0.123301 | − | 0.0312742i | ||||
\(871\) | 444.279 | + | 322.788i | 0.510080 | + | 0.370595i | ||||
\(872\) | 180.936 | − | 28.6575i | 0.207496 | − | 0.0328641i | ||||
\(873\) | −177.196 | + | 90.2857i | −0.202973 | + | 0.103420i | ||||
\(874\) | − | 90.2315i | − | 0.103240i | ||||||
\(875\) | 990.640 | + | 39.8360i | 1.13216 | + | 0.0455268i | ||||
\(876\) | −329.641 | −0.376303 | ||||||||
\(877\) | 375.480 | + | 736.921i | 0.428141 | + | 0.840275i | 0.999804 | + | 0.0197861i | \(0.00629854\pi\) |
−0.571663 | + | 0.820489i | \(0.693701\pi\) | |||||||
\(878\) | −3.92199 | − | 24.7625i | −0.00446696 | − | 0.0282033i | ||||
\(879\) | 576.474 | − | 793.449i | 0.655830 | − | 0.902672i | ||||
\(880\) | 132.765 | + | 523.435i | 0.150869 | + | 0.594812i | ||||
\(881\) | 738.102 | − | 536.263i | 0.837800 | − | 0.608698i | −0.0839550 | − | 0.996470i | \(-0.526755\pi\) |
0.921755 | + | 0.387772i | \(0.126755\pi\) | |||||||
\(882\) | −46.3451 | + | 46.3451i | −0.0525455 | + | 0.0525455i | ||||
\(883\) | −850.354 | − | 134.683i | −0.963029 | − | 0.152529i | −0.344929 | − | 0.938629i | \(-0.612097\pi\) |
−0.618099 | + | 0.786100i | \(0.712097\pi\) | |||||||
\(884\) | −35.4434 | + | 11.5163i | −0.0400943 | + | 0.0130274i | ||||
\(885\) | −267.160 | + | 234.148i | −0.301875 | + | 0.264574i | ||||
\(886\) | 67.3640 | − | 207.325i | 0.0760316 | − | 0.234001i | ||||
\(887\) | 1248.92 | + | 636.358i | 1.40803 | + | 0.717427i | 0.982281 | − | 0.187414i | \(-0.0600106\pi\) |
0.425749 | + | 0.904841i | \(0.360011\pi\) | |||||||
\(888\) | −351.502 | + | 689.861i | −0.395835 | + | 0.776870i | ||||
\(889\) | −1196.65 | − | 388.816i | −1.34606 | − | 0.437363i | ||||
\(890\) | 205.509 | − | 88.2189i | 0.230909 | − | 0.0991224i | ||||
\(891\) | −13.7133 | − | 42.2051i | −0.0153909 | − | 0.0473683i | ||||
\(892\) | −94.5223 | + | 596.790i | −0.105967 | + | 0.669048i | ||||
\(893\) | −922.075 | − | 922.075i | −1.03256 | − | 1.03256i | ||||
\(894\) | −156.540 | − | 215.458i | −0.175100 | − | 0.241005i | ||||
\(895\) | −198.262 | − | 79.1693i | −0.221522 | − | 0.0884573i | ||||
\(896\) | −827.074 | − | 600.904i | −0.923073 | − | 0.670652i | ||||
\(897\) | 120.139 | − | 19.0282i | 0.133935 | − | 0.0212132i | ||||
\(898\) | −555.187 | + | 282.882i | −0.618249 | + | 0.315013i | ||||
\(899\) | 201.415i | 0.224043i | ||||||||
\(900\) | 79.5971 | + | 430.944i | 0.0884412 | + | 0.478826i | ||||
\(901\) | −39.9143 | −0.0443000 | ||||||||
\(902\) | −310.550 | − | 609.488i | −0.344290 | − | 0.675708i | ||||
\(903\) | 11.5421 | + | 72.8739i | 0.0127819 | + | 0.0807020i | ||||
\(904\) | −12.7835 | + | 17.5950i | −0.0141410 | + | 0.0194635i | ||||
\(905\) | −697.421 | − | 580.401i | −0.770631 | − | 0.641328i | ||||
\(906\) | −178.305 | + | 129.546i | −0.196805 | + | 0.142987i | ||||
\(907\) | −338.384 | + | 338.384i | −0.373081 | + | 0.373081i | −0.868598 | − | 0.495517i | \(-0.834979\pi\) |
0.495517 | + | 0.868598i | \(0.334979\pi\) | |||||||
\(908\) | 272.228 | + | 43.1167i | 0.299811 | + | 0.0474854i | ||||
\(909\) | −393.619 | + | 127.895i | −0.433024 | + | 0.140698i | ||||
\(910\) | 361.427 | + | 215.177i | 0.397172 | + | 0.236458i | ||||
\(911\) | −433.886 | + | 1335.36i | −0.476274 | + | 1.46582i | 0.367958 | + | 0.929842i | \(0.380057\pi\) |
−0.844232 | + | 0.535978i | \(0.819943\pi\) | |||||||
\(912\) | 247.707 | + | 126.213i | 0.271608 | + | 0.138391i | ||||
\(913\) | 402.793 | − | 790.525i | 0.441175 | − | 0.865854i | ||||
\(914\) | 432.339 | + | 140.476i | 0.473019 | + | 0.153693i | ||||
\(915\) | 90.8186 | + | 991.712i | 0.0992553 | + | 1.08384i | ||||
\(916\) | −223.812 | − | 688.823i | −0.244336 | − | 0.751990i | ||||
\(917\) | −145.290 | + | 917.322i | −0.158440 | + | 1.00035i | ||||
\(918\) | 15.8882 | + | 15.8882i | 0.0173074 | + | 0.0173074i | ||||
\(919\) | −44.4183 | − | 61.1365i | −0.0483332 | − | 0.0665250i | 0.784166 | − | 0.620551i | \(-0.213091\pi\) |
−0.832500 | + | 0.554026i | \(0.813091\pi\) | |||||||
\(920\) | 88.6961 | + | 140.670i | 0.0964088 | + | 0.152903i | ||||
\(921\) | 275.414 | + | 200.100i | 0.299038 | + | 0.217264i | ||||
\(922\) | 33.2645 | − | 5.26858i | 0.0360786 | − | 0.00571429i | ||||
\(923\) | 490.483 | − | 249.914i | 0.531401 | − | 0.270763i | ||||
\(924\) | 704.531i | 0.762480i | ||||||||
\(925\) | −1618.54 | + | 41.3888i | −1.74978 | + | 0.0447447i | ||||
\(926\) | 198.514 | 0.214378 | ||||||||
\(927\) | −188.268 | − | 369.498i | −0.203094 | − | 0.398595i | ||||
\(928\) | −66.5639 | − | 420.268i | −0.0717283 | − | 0.452875i | ||||
\(929\) | 832.874 | − | 1146.35i | 0.896527 | − | 1.23396i | −0.0750356 | − | 0.997181i | \(-0.523907\pi\) |
0.971563 | − | 0.236783i | \(-0.0760930\pi\) | |||||||
\(930\) | −123.760 | − | 8.14983i | −0.133076 | − | 0.00876326i | ||||
\(931\) | −221.052 | + | 160.604i | −0.237435 | + | 0.172507i | ||||
\(932\) | 142.336 | − | 142.336i | 0.152721 | − | 0.152721i | ||||
\(933\) | −22.1677 | − | 3.51102i | −0.0237596 | − | 0.00376315i | ||||
\(934\) | −713.313 | + | 231.769i | −0.763718 | + | 0.248147i | ||||
\(935\) | −15.0940 | + | 66.6110i | −0.0161433 | + | 0.0712417i | ||||
\(936\) | −128.364 | + | 395.064i | −0.137141 | + | 0.422077i | ||||
\(937\) | −1076.49 | − | 548.497i | −1.14886 | − | 0.585376i | −0.227386 | − | 0.973805i | \(-0.573018\pi\) |
−0.921479 | + | 0.388429i | \(0.873018\pi\) | |||||||
\(938\) | −141.510 | + | 277.728i | −0.150863 | + | 0.296086i | ||||
\(939\) | 309.099 | + | 100.432i | 0.329178 | + | 0.106957i | ||||
\(940\) | 1049.10 | + | 237.725i | 1.11606 | + | 0.252899i | ||||
\(941\) | −286.084 | − | 880.476i | −0.304021 | − | 0.935681i | −0.980041 | − | 0.198797i | \(-0.936296\pi\) |
0.676019 | − | 0.736884i | \(-0.263704\pi\) | |||||||
\(942\) | −54.0961 | + | 341.549i | −0.0574268 | + | 0.362579i | ||||
\(943\) | 202.392 | + | 202.392i | 0.214625 | + | 0.214625i | ||||
\(944\) | 164.566 | + | 226.506i | 0.174329 | + | 0.239943i | ||||
\(945\) | −71.1551 | + | 1080.54i | −0.0752964 | + | 1.14342i | ||||
\(946\) | 50.0373 | + | 36.3542i | 0.0528935 | + | 0.0384294i | ||||
\(947\) | −877.188 | + | 138.933i | −0.926280 | + | 0.146708i | −0.601310 | − | 0.799016i | \(-0.705354\pi\) |
−0.324970 | + | 0.945724i | \(0.605354\pi\) | |||||||
\(948\) | −657.197 | + | 334.858i | −0.693245 | + | 0.353226i | ||||
\(949\) | − | 653.406i | − | 0.688520i | ||||||
\(950\) | −10.9376 | − | 427.724i | −0.0115133 | − | 0.450236i | ||||
\(951\) | 143.979 | 0.151398 | ||||||||
\(952\) | −21.4555 | − | 42.1088i | −0.0225373 | − | 0.0442319i | ||||
\(953\) | −47.9001 | − | 302.429i | −0.0502625 | − | 0.317345i | −0.999991 | − | 0.00426975i | \(-0.998641\pi\) |
0.949728 | − | 0.313075i | \(-0.101359\pi\) | |||||||
\(954\) | −117.046 | + | 161.100i | −0.122690 | + | 0.168868i | ||||
\(955\) | −237.818 | + | 149.950i | −0.249024 | + | 0.157015i | ||||
\(956\) | −100.804 | + | 73.2381i | −0.105443 | + | 0.0766089i | ||||
\(957\) | −259.807 | + | 259.807i | −0.271481 | + | 0.271481i | ||||
\(958\) | −80.1400 | − | 12.6929i | −0.0836535 | − | 0.0132494i | ||||
\(959\) | 1366.82 | − | 444.108i | 1.42526 | − | 0.463094i | ||||
\(960\) | −20.9332 | + | 1.91701i | −0.0218054 | + | 0.00199688i | ||||
\(961\) | −227.211 | + | 699.284i | −0.236432 | + | 0.727663i | ||||
\(962\) | −612.042 | − | 311.851i | −0.636219 | − | 0.324170i | ||||
\(963\) | −128.410 | + | 252.019i | −0.133344 | + | 0.261702i | ||||
\(964\) | 305.818 | + | 99.3661i | 0.317238 | + | 0.103077i | ||||
\(965\) | 538.609 | − | 904.688i | 0.558144 | − | 0.937501i | ||||
\(966\) | 21.3348 | + | 65.6618i | 0.0220857 | + | 0.0679728i | ||||
\(967\) | 94.6041 | − | 597.307i | 0.0978326 | − | 0.617691i | −0.889243 | − | 0.457435i | \(-0.848768\pi\) |
0.987076 | − | 0.160256i | \(-0.0512318\pi\) | |||||||
\(968\) | 393.265 | + | 393.265i | 0.406266 | + | 0.406266i | ||||
\(969\) | 20.6677 | + | 28.4467i | 0.0213289 | + | 0.0293567i | ||||
\(970\) | −102.457 | + | 123.114i | −0.105626 | + | 0.126922i | ||||
\(971\) | 1288.45 | + | 936.112i | 1.32693 | + | 0.964070i | 0.999818 | + | 0.0190840i | \(0.00607498\pi\) |
0.327111 | + | 0.944986i | \(0.393925\pi\) | |||||||
\(972\) | −768.050 | + | 121.647i | −0.790175 | + | 0.125151i | ||||
\(973\) | 492.748 | − | 251.068i | 0.506422 | − | 0.258035i | ||||
\(974\) | − | 348.668i | − | 0.357975i | ||||||
\(975\) | 567.190 | − | 104.762i | 0.581734 | − | 0.107449i | ||||
\(976\) | 784.861 | 0.804161 | ||||||||
\(977\) | −133.140 | − | 261.301i | −0.136274 | − | 0.267453i | 0.812777 | − | 0.582575i | \(-0.197955\pi\) |
−0.949051 | + | 0.315122i | \(0.897955\pi\) | |||||||
\(978\) | −79.4635 | − | 501.713i | −0.0812510 | − | 0.512999i | ||||
\(979\) | −436.432 | + | 600.697i | −0.445794 | + | 0.613582i | ||||
\(980\) | 83.5862 | − | 209.324i | 0.0852921 | − | 0.213596i | ||||
\(981\) | −127.066 | + | 92.3185i | −0.129527 | + | 0.0941065i | ||||
\(982\) | −407.221 | + | 407.221i | −0.414686 | + | 0.414686i | ||||
\(983\) | −65.4417 | − | 10.3649i | −0.0665734 | − | 0.0105442i | 0.123059 | − | 0.992399i | \(-0.460730\pi\) |
−0.189632 | + | 0.981855i | \(0.560730\pi\) | |||||||
\(984\) | 617.271 | − | 200.563i | 0.627308 | − | 0.203825i | ||||
\(985\) | −553.607 | − | 1289.65i | −0.562038 | − | 1.30929i | ||||
\(986\) | 3.40893 | − | 10.4916i | 0.00345734 | − | 0.0106406i | ||||
\(987\) | 889.018 | + | 452.977i | 0.900727 | + | 0.458943i | ||||
\(988\) | −351.888 | + | 690.618i | −0.356162 | + | 0.699007i | ||||
\(989\) | −24.6130 | − | 7.99726i | −0.0248868 | − | 0.00808621i | ||||
\(990\) | 224.590 | + | 256.254i | 0.226858 | + | 0.258843i | ||||
\(991\) | 245.405 | + | 755.279i | 0.247634 | + | 0.762138i | 0.995192 | + | 0.0979420i | \(0.0312260\pi\) |
−0.747558 | + | 0.664196i | \(0.768774\pi\) | |||||||
\(992\) | −74.5992 | + | 471.001i | −0.0752008 | + | 0.474799i | ||||
\(993\) | −568.540 | − | 568.540i | −0.572548 | − | 0.572548i | ||||
\(994\) | 183.655 | + | 252.780i | 0.184764 | + | 0.254305i | ||||
\(995\) | 593.489 | − | 150.533i | 0.596471 | − | 0.151290i | ||||
\(996\) | 304.829 | + | 221.471i | 0.306053 | + | 0.222360i | ||||
\(997\) | 236.698 | − | 37.4893i | 0.237410 | − | 0.0376021i | −0.0365955 | − | 0.999330i | \(-0.511651\pi\) |
0.274006 | + | 0.961728i | \(0.411651\pi\) | |||||||
\(998\) | 472.461 | − | 240.731i | 0.473408 | − | 0.241213i | ||||
\(999\) | − | 1768.39i | − | 1.77016i |
(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 | 25.3.f.a.3.2 | ✓ | 32 | |
3.2 | odd | 2 | 225.3.r.a.28.3 | 32 | |||
4.3 | odd | 2 | 400.3.bg.c.353.3 | 32 | |||
5.2 | odd | 4 | 125.3.f.a.7.3 | 32 | |||
5.3 | odd | 4 | 125.3.f.b.7.2 | 32 | |||
5.4 | even | 2 | 125.3.f.c.118.3 | 32 | |||
25.6 | even | 5 | 125.3.f.a.18.3 | 32 | |||
25.8 | odd | 20 | 125.3.f.c.107.3 | 32 | |||
25.17 | odd | 20 | inner | 25.3.f.a.17.2 | yes | 32 | |
25.19 | even | 10 | 125.3.f.b.18.2 | 32 | |||
75.17 | even | 20 | 225.3.r.a.217.3 | 32 | |||
100.67 | even | 20 | 400.3.bg.c.17.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.3.f.a.3.2 | ✓ | 32 | 1.1 | even | 1 | trivial | |
25.3.f.a.17.2 | yes | 32 | 25.17 | odd | 20 | inner | |
125.3.f.a.7.3 | 32 | 5.2 | odd | 4 | |||
125.3.f.a.18.3 | 32 | 25.6 | even | 5 | |||
125.3.f.b.7.2 | 32 | 5.3 | odd | 4 | |||
125.3.f.b.18.2 | 32 | 25.19 | even | 10 | |||
125.3.f.c.107.3 | 32 | 25.8 | odd | 20 | |||
125.3.f.c.118.3 | 32 | 5.4 | even | 2 | |||
225.3.r.a.28.3 | 32 | 3.2 | odd | 2 | |||
225.3.r.a.217.3 | 32 | 75.17 | even | 20 | |||
400.3.bg.c.17.3 | 32 | 100.67 | even | 20 | |||
400.3.bg.c.353.3 | 32 | 4.3 | odd | 2 |