Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (of order \(10\), degree \(4\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 281.2 | ||
Character | \(\chi\) | \(=\) | 462.281 |
Dual form | 462.2.w.b.365.2 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | −1.48354 | + | 0.893930i | −0.856522 | + | 0.516111i | ||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 0.599576 | + | 0.194814i | 0.268139 | + | 0.0871235i | 0.440000 | − | 0.897998i | \(-0.354978\pi\) |
−0.171862 | + | 0.985121i | \(0.554978\pi\) | |||||||
\(6\) | 1.30862 | + | 1.13469i | 0.534241 | + | 0.463235i | ||||
\(7\) | −0.587785 | − | 0.809017i | −0.222162 | − | 0.305780i | ||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | 1.40178 | − | 2.65236i | 0.467259 | − | 0.884120i | ||||
\(10\) | − | 0.630432i | − | 0.199360i | ||||||
\(11\) | −2.44475 | + | 2.24125i | −0.737120 | + | 0.675762i | ||||
\(12\) | 0.674769 | − | 1.59521i | 0.194789 | − | 0.460497i | ||||
\(13\) | 2.41247 | − | 0.783858i | 0.669098 | − | 0.217403i | 0.0452817 | − | 0.998974i | \(-0.485581\pi\) |
0.623816 | + | 0.781571i | \(0.285581\pi\) | |||||||
\(14\) | −0.587785 | + | 0.809017i | −0.157092 | + | 0.216219i | ||||
\(15\) | −1.06364 | + | 0.246965i | −0.274632 | + | 0.0637661i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −1.70538 | + | 5.24863i | −0.413616 | + | 1.27298i | 0.499866 | + | 0.866103i | \(0.333382\pi\) |
−0.913483 | + | 0.406878i | \(0.866618\pi\) | |||||||
\(18\) | −2.95572 | − | 0.513545i | −0.696670 | − | 0.121044i | ||||
\(19\) | −0.782917 | + | 1.07759i | −0.179613 | + | 0.247217i | −0.889325 | − | 0.457276i | \(-0.848825\pi\) |
0.709712 | + | 0.704492i | \(0.248825\pi\) | |||||||
\(20\) | −0.599576 | + | 0.194814i | −0.134069 | + | 0.0435618i | ||||
\(21\) | 1.59521 | + | 0.674769i | 0.348103 | + | 0.147247i | ||||
\(22\) | 2.88702 | + | 1.63251i | 0.615515 | + | 0.348053i | ||||
\(23\) | 8.39152i | 1.74975i | 0.484346 | + | 0.874877i | \(0.339058\pi\) | ||||
−0.484346 | + | 0.874877i | \(0.660942\pi\) | |||||||
\(24\) | −1.72565 | − | 0.148798i | −0.352246 | − | 0.0303732i | ||||
\(25\) | −3.72355 | − | 2.70531i | −0.744709 | − | 0.541063i | ||||
\(26\) | −1.49099 | − | 2.05217i | −0.292406 | − | 0.402463i | ||||
\(27\) | 0.291435 | + | 5.18797i | 0.0560866 | + | 0.998426i | ||||
\(28\) | 0.951057 | + | 0.309017i | 0.179733 | + | 0.0583987i | ||||
\(29\) | −0.707415 | + | 0.513967i | −0.131364 | + | 0.0954413i | −0.651527 | − | 0.758626i | \(-0.725871\pi\) |
0.520163 | + | 0.854067i | \(0.325871\pi\) | |||||||
\(30\) | 0.563562 | + | 0.935270i | 0.102892 | + | 0.170756i | ||||
\(31\) | 2.94421 | + | 9.06135i | 0.528796 | + | 1.62747i | 0.756685 | + | 0.653779i | \(0.226818\pi\) |
−0.227889 | + | 0.973687i | \(0.573182\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 1.62336 | − | 5.51042i | 0.282591 | − | 0.959240i | ||||
\(34\) | 5.51874 | 0.946456 | ||||||||
\(35\) | −0.194814 | − | 0.599576i | −0.0329296 | − | 0.101347i | ||||
\(36\) | 0.424957 | + | 2.96975i | 0.0708262 | + | 0.494958i | ||||
\(37\) | −1.24996 | + | 0.908150i | −0.205492 | + | 0.149299i | −0.685772 | − | 0.727817i | \(-0.740535\pi\) |
0.480279 | + | 0.877116i | \(0.340535\pi\) | |||||||
\(38\) | 1.26679 | + | 0.411604i | 0.205500 | + | 0.0667709i | ||||
\(39\) | −2.87827 | + | 3.31946i | −0.460893 | + | 0.531539i | ||||
\(40\) | 0.370558 | + | 0.510030i | 0.0585904 | + | 0.0806428i | ||||
\(41\) | 3.18826 | + | 2.31641i | 0.497923 | + | 0.361762i | 0.808223 | − | 0.588877i | \(-0.200430\pi\) |
−0.310300 | + | 0.950639i | \(0.600430\pi\) | |||||||
\(42\) | 0.148798 | − | 1.72565i | 0.0229600 | − | 0.266273i | ||||
\(43\) | 3.14116i | 0.479023i | 0.970894 | + | 0.239511i | \(0.0769872\pi\) | ||||
−0.970894 | + | 0.239511i | \(0.923013\pi\) | |||||||
\(44\) | 0.660472 | − | 3.25020i | 0.0995699 | − | 0.489986i | ||||
\(45\) | 1.35719 | − | 1.31721i | 0.202318 | − | 0.196358i | ||||
\(46\) | 7.98081 | − | 2.59312i | 1.17671 | − | 0.382335i | ||||
\(47\) | 1.24469 | − | 1.71316i | 0.181556 | − | 0.249890i | −0.708532 | − | 0.705678i | \(-0.750642\pi\) |
0.890088 | + | 0.455788i | \(0.150642\pi\) | |||||||
\(48\) | 0.391739 | + | 1.68717i | 0.0565427 | + | 0.243522i | ||||
\(49\) | −0.309017 | + | 0.951057i | −0.0441453 | + | 0.135865i | ||||
\(50\) | −1.42227 | + | 4.37729i | −0.201139 | + | 0.619042i | ||||
\(51\) | −2.16191 | − | 9.31104i | −0.302728 | − | 1.30381i | ||||
\(52\) | −1.49099 | + | 2.05217i | −0.206763 | + | 0.284584i | ||||
\(53\) | −2.81686 | + | 0.915255i | −0.386926 | + | 0.125720i | −0.496019 | − | 0.868312i | \(-0.665205\pi\) |
0.109093 | + | 0.994032i | \(0.465205\pi\) | |||||||
\(54\) | 4.84400 | − | 1.88034i | 0.659185 | − | 0.255882i | ||||
\(55\) | −1.90244 | + | 0.867527i | −0.256525 | + | 0.116977i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | 0.198195 | − | 2.29852i | 0.0262516 | − | 0.304447i | ||||
\(58\) | 0.707415 | + | 0.513967i | 0.0928882 | + | 0.0674872i | ||||
\(59\) | −4.03171 | − | 5.54917i | −0.524884 | − | 0.722441i | 0.461456 | − | 0.887163i | \(-0.347327\pi\) |
−0.986340 | + | 0.164722i | \(0.947327\pi\) | |||||||
\(60\) | 0.715344 | − | 0.824994i | 0.0923506 | − | 0.106506i | ||||
\(61\) | 11.4880 | + | 3.73266i | 1.47088 | + | 0.477918i | 0.931374 | − | 0.364063i | \(-0.118611\pi\) |
0.539507 | + | 0.841981i | \(0.318611\pi\) | |||||||
\(62\) | 7.70804 | − | 5.60022i | 0.978923 | − | 0.711229i | ||||
\(63\) | −2.96975 | + | 0.424957i | −0.374153 | + | 0.0535396i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 1.59916 | 0.198352 | ||||||||
\(66\) | −5.74236 | + | 0.158902i | −0.706836 | + | 0.0195595i | ||||
\(67\) | 2.01926 | 0.246691 | 0.123346 | − | 0.992364i | \(-0.460638\pi\) | ||||
0.123346 | + | 0.992364i | \(0.460638\pi\) | |||||||
\(68\) | −1.70538 | − | 5.24863i | −0.206808 | − | 0.636490i | ||||
\(69\) | −7.50144 | − | 12.4492i | −0.903067 | − | 1.49870i | ||||
\(70\) | −0.510030 | + | 0.370558i | −0.0609602 | + | 0.0442902i | ||||
\(71\) | −13.8818 | − | 4.51048i | −1.64747 | − | 0.535295i | −0.669281 | − | 0.743010i | \(-0.733398\pi\) |
−0.978190 | + | 0.207714i | \(0.933398\pi\) | |||||||
\(72\) | 2.69308 | − | 1.32186i | 0.317383 | − | 0.155783i | ||||
\(73\) | 1.66168 | + | 2.28710i | 0.194485 | + | 0.267685i | 0.895111 | − | 0.445843i | \(-0.147096\pi\) |
−0.700626 | + | 0.713528i | \(0.747096\pi\) | |||||||
\(74\) | 1.24996 | + | 0.908150i | 0.145305 | + | 0.105570i | ||||
\(75\) | 7.94239 | + | 0.684850i | 0.917108 | + | 0.0790796i | ||||
\(76\) | − | 1.33198i | − | 0.152788i | ||||||
\(77\) | 3.25020 | + | 0.660472i | 0.370394 | + | 0.0752678i | ||||
\(78\) | 4.04643 | + | 1.71163i | 0.458168 | + | 0.193804i | ||||
\(79\) | −9.35570 | + | 3.03985i | −1.05260 | + | 0.342010i | −0.783687 | − | 0.621155i | \(-0.786664\pi\) |
−0.268911 | + | 0.963165i | \(0.586664\pi\) | |||||||
\(80\) | 0.370558 | − | 0.510030i | 0.0414297 | − | 0.0570231i | ||||
\(81\) | −5.07004 | − | 7.43604i | −0.563338 | − | 0.826227i | ||||
\(82\) | 1.21781 | − | 3.74802i | 0.134484 | − | 0.413900i | ||||
\(83\) | 3.56305 | − | 10.9659i | 0.391096 | − | 1.20367i | −0.540865 | − | 0.841109i | \(-0.681903\pi\) |
0.931961 | − | 0.362559i | \(-0.118097\pi\) | |||||||
\(84\) | −1.68717 | + | 0.391739i | −0.184085 | + | 0.0427423i | ||||
\(85\) | −2.04501 | + | 2.81472i | −0.221813 | + | 0.305299i | ||||
\(86\) | 2.98742 | − | 0.970672i | 0.322142 | − | 0.104670i | ||||
\(87\) | 0.590028 | − | 1.39487i | 0.0632576 | − | 0.149546i | ||||
\(88\) | −3.29522 | + | 0.376220i | −0.351271 | + | 0.0401052i | ||||
\(89\) | − | 11.3022i | − | 1.19803i | −0.800736 | − | 0.599017i | \(-0.795558\pi\) | ||
0.800736 | − | 0.599017i | \(-0.204442\pi\) | |||||||
\(90\) | −1.67213 | − | 0.883725i | −0.176258 | − | 0.0931528i | ||||
\(91\) | −2.05217 | − | 1.49099i | −0.215125 | − | 0.156298i | ||||
\(92\) | −4.93241 | − | 6.78888i | −0.514240 | − | 0.707790i | ||||
\(93\) | −12.4681 | − | 10.8109i | −1.29288 | − | 1.12104i | ||||
\(94\) | −2.01394 | − | 0.654370i | −0.207722 | − | 0.0674931i | ||||
\(95\) | −0.679348 | + | 0.493575i | −0.0696997 | + | 0.0506398i | ||||
\(96\) | 1.48354 | − | 0.893930i | 0.151413 | − | 0.0912364i | ||||
\(97\) | 1.98790 | + | 6.11813i | 0.201841 | + | 0.621202i | 0.999828 | + | 0.0185283i | \(0.00589809\pi\) |
−0.797987 | + | 0.602674i | \(0.794102\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 2.51760 | + | 9.62609i | 0.253029 | + | 0.967459i | ||||
\(100\) | 4.60256 | 0.460256 | ||||||||
\(101\) | 3.56987 | + | 10.9869i | 0.355215 | + | 1.09324i | 0.955884 | + | 0.293743i | \(0.0949010\pi\) |
−0.600669 | + | 0.799498i | \(0.705099\pi\) | |||||||
\(102\) | −8.18726 | + | 4.93337i | −0.810660 | + | 0.488476i | ||||
\(103\) | −3.40723 | + | 2.47550i | −0.335725 | + | 0.243918i | −0.742856 | − | 0.669452i | \(-0.766529\pi\) |
0.407131 | + | 0.913370i | \(0.366529\pi\) | |||||||
\(104\) | 2.41247 | + | 0.783858i | 0.236562 | + | 0.0768636i | ||||
\(105\) | 0.824994 | + | 0.715344i | 0.0805111 | + | 0.0698105i | ||||
\(106\) | 1.74092 | + | 2.39617i | 0.169093 | + | 0.232736i | ||||
\(107\) | 10.7603 | + | 7.81783i | 1.04024 | + | 0.755778i | 0.970332 | − | 0.241775i | \(-0.0777297\pi\) |
0.0699071 | + | 0.997554i | \(0.477730\pi\) | |||||||
\(108\) | −3.28519 | − | 4.02586i | −0.316118 | − | 0.387388i | ||||
\(109\) | − | 18.7342i | − | 1.79441i | −0.441615 | − | 0.897205i | \(-0.645594\pi\) | ||
0.441615 | − | 0.897205i | \(-0.354406\pi\) | |||||||
\(110\) | 1.41295 | + | 1.54125i | 0.134720 | + | 0.146952i | ||||
\(111\) | 1.04254 | − | 2.46466i | 0.0989539 | − | 0.233935i | ||||
\(112\) | −0.951057 | + | 0.309017i | −0.0898664 | + | 0.0291994i | ||||
\(113\) | −9.42189 | + | 12.9681i | −0.886337 | + | 1.21994i | 0.0882877 | + | 0.996095i | \(0.471861\pi\) |
−0.974625 | + | 0.223844i | \(0.928139\pi\) | |||||||
\(114\) | −2.24727 | + | 0.521788i | −0.210476 | + | 0.0488699i | ||||
\(115\) | −1.63479 | + | 5.03136i | −0.152445 | + | 0.469176i | ||||
\(116\) | 0.270209 | − | 0.831617i | 0.0250882 | − | 0.0772137i | ||||
\(117\) | 1.30267 | − | 7.49753i | 0.120432 | − | 0.693147i | ||||
\(118\) | −4.03171 | + | 5.54917i | −0.371149 | + | 0.510843i | ||||
\(119\) | 5.24863 | − | 1.70538i | 0.481141 | − | 0.156332i | ||||
\(120\) | −1.00567 | − | 0.425396i | −0.0918046 | − | 0.0388332i | ||||
\(121\) | 0.953611 | − | 10.9586i | 0.0866919 | − | 0.996235i | ||||
\(122\) | − | 12.0791i | − | 1.09359i | ||||||
\(123\) | −6.80061 | − | 0.586398i | −0.613191 | − | 0.0528737i | ||||
\(124\) | −7.70804 | − | 5.60022i | −0.692203 | − | 0.502915i | ||||
\(125\) | −3.55831 | − | 4.89759i | −0.318265 | − | 0.438054i | ||||
\(126\) | 1.32186 | + | 2.69308i | 0.117761 | + | 0.239919i | ||||
\(127\) | 8.81861 | + | 2.86534i | 0.782525 | + | 0.254258i | 0.672918 | − | 0.739717i | \(-0.265041\pi\) |
0.109607 | + | 0.993975i | \(0.465041\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | −2.80798 | − | 4.66004i | −0.247229 | − | 0.410293i | ||||
\(130\) | −0.494169 | − | 1.52090i | −0.0433415 | − | 0.133391i | ||||
\(131\) | 6.41687 | 0.560645 | 0.280322 | − | 0.959906i | \(-0.409559\pi\) | ||||
0.280322 | + | 0.959906i | \(0.409559\pi\) | |||||||
\(132\) | 1.92561 | + | 5.41221i | 0.167603 | + | 0.471072i | ||||
\(133\) | 1.33198 | 0.115497 | ||||||||
\(134\) | −0.623984 | − | 1.92043i | −0.0539040 | − | 0.165900i | ||||
\(135\) | −0.835953 | + | 3.16736i | −0.0719474 | + | 0.272603i | ||||
\(136\) | −4.46475 | + | 3.24383i | −0.382849 | + | 0.278156i | ||||
\(137\) | −0.648083 | − | 0.210575i | −0.0553694 | − | 0.0179906i | 0.281201 | − | 0.959649i | \(-0.409267\pi\) |
−0.336571 | + | 0.941658i | \(0.609267\pi\) | |||||||
\(138\) | −9.52178 | + | 10.9813i | −0.810547 | + | 0.934789i | ||||
\(139\) | −7.79784 | − | 10.7328i | −0.661405 | − | 0.910345i | 0.338122 | − | 0.941102i | \(-0.390208\pi\) |
−0.999527 | + | 0.0307569i | \(0.990208\pi\) | |||||||
\(140\) | 0.510030 | + | 0.370558i | 0.0431054 | + | 0.0313179i | ||||
\(141\) | −0.315092 | + | 3.65421i | −0.0265355 | + | 0.307740i | ||||
\(142\) | 14.5962i | 1.22489i | ||||||||
\(143\) | −4.14106 | + | 7.32327i | −0.346293 | + | 0.612403i | ||||
\(144\) | −2.08937 | − | 2.15279i | −0.174114 | − | 0.179400i | ||||
\(145\) | −0.524277 | + | 0.170348i | −0.0435389 | + | 0.0141466i | ||||
\(146\) | 1.66168 | − | 2.28710i | 0.137521 | − | 0.189282i | ||||
\(147\) | −0.391739 | − | 1.68717i | −0.0323101 | − | 0.139155i | ||||
\(148\) | 0.477443 | − | 1.46942i | 0.0392456 | − | 0.120785i | ||||
\(149\) | 4.00287 | − | 12.3196i | 0.327928 | − | 1.00926i | −0.642174 | − | 0.766559i | \(-0.721967\pi\) |
0.970102 | − | 0.242699i | \(-0.0780328\pi\) | |||||||
\(150\) | −1.80300 | − | 7.76529i | −0.147215 | − | 0.634033i | ||||
\(151\) | −8.58790 | + | 11.8202i | −0.698874 | + | 0.961917i | 0.301092 | + | 0.953595i | \(0.402649\pi\) |
−0.999965 | + | 0.00832193i | \(0.997351\pi\) | |||||||
\(152\) | −1.26679 | + | 0.411604i | −0.102750 | + | 0.0333855i | ||||
\(153\) | 11.5307 | + | 11.8807i | 0.932202 | + | 0.960498i | ||||
\(154\) | −0.376220 | − | 3.29522i | −0.0303167 | − | 0.265536i | ||||
\(155\) | 6.00654i | 0.482457i | ||||||||
\(156\) | 0.377443 | − | 4.37731i | 0.0302196 | − | 0.350465i | ||||
\(157\) | 10.1071 | + | 7.34326i | 0.806636 | + | 0.586056i | 0.912853 | − | 0.408287i | \(-0.133874\pi\) |
−0.106217 | + | 0.994343i | \(0.533874\pi\) | |||||||
\(158\) | 5.78214 | + | 7.95843i | 0.460002 | + | 0.633139i | ||||
\(159\) | 3.36075 | − | 3.87590i | 0.266525 | − | 0.307379i | ||||
\(160\) | −0.599576 | − | 0.194814i | −0.0474007 | − | 0.0154014i | ||||
\(161\) | 6.78888 | − | 4.93241i | 0.535039 | − | 0.388729i | ||||
\(162\) | −5.50537 | + | 7.11976i | −0.432542 | + | 0.559381i | ||||
\(163\) | −0.453419 | − | 1.39548i | −0.0355145 | − | 0.109303i | 0.931728 | − | 0.363158i | \(-0.118301\pi\) |
−0.967242 | + | 0.253855i | \(0.918301\pi\) | |||||||
\(164\) | −3.94091 | −0.307733 | ||||||||
\(165\) | 2.04684 | − | 2.98766i | 0.159346 | − | 0.232589i | ||||
\(166\) | −11.5303 | −0.894923 | ||||||||
\(167\) | 4.39597 | + | 13.5294i | 0.340171 | + | 1.04694i | 0.964119 | + | 0.265472i | \(0.0855277\pi\) |
−0.623948 | + | 0.781466i | \(0.714472\pi\) | |||||||
\(168\) | 0.893930 | + | 1.48354i | 0.0689682 | + | 0.114458i | ||||
\(169\) | −5.31166 | + | 3.85915i | −0.408589 | + | 0.296857i | ||||
\(170\) | 3.30890 | + | 1.07513i | 0.253781 | + | 0.0824585i | ||||
\(171\) | 1.76069 | + | 3.58712i | 0.134643 | + | 0.274314i | ||||
\(172\) | −1.84633 | − | 2.54125i | −0.140781 | − | 0.193769i | ||||
\(173\) | 1.47145 | + | 1.06907i | 0.111872 | + | 0.0812798i | 0.642315 | − | 0.766441i | \(-0.277974\pi\) |
−0.530443 | + | 0.847721i | \(0.677974\pi\) | |||||||
\(174\) | −1.50893 | − | 0.130111i | −0.114392 | − | 0.00986367i | ||||
\(175\) | 4.60256i | 0.347921i | ||||||||
\(176\) | 1.37608 | + | 3.01768i | 0.103726 | + | 0.227466i | ||||
\(177\) | 10.9418 | + | 4.62835i | 0.822434 | + | 0.347888i | ||||
\(178\) | −10.7491 | + | 3.49258i | −0.805676 | + | 0.261780i | ||||
\(179\) | 7.46316 | − | 10.2722i | 0.557823 | − | 0.767777i | −0.433225 | − | 0.901286i | \(-0.642624\pi\) |
0.991048 | + | 0.133509i | \(0.0426245\pi\) | |||||||
\(180\) | −0.323755 | + | 1.86338i | −0.0241313 | + | 0.138888i | ||||
\(181\) | 7.77978 | − | 23.9437i | 0.578267 | − | 1.77972i | −0.0465090 | − | 0.998918i | \(-0.514810\pi\) |
0.624776 | − | 0.780804i | \(-0.285190\pi\) | |||||||
\(182\) | −0.783858 | + | 2.41247i | −0.0581034 | + | 0.178824i | ||||
\(183\) | −20.3796 | + | 4.73188i | −1.50650 | + | 0.349791i | ||||
\(184\) | −4.93241 | + | 6.78888i | −0.363622 | + | 0.500483i | ||||
\(185\) | −0.926368 | + | 0.300995i | −0.0681079 | + | 0.0221296i | ||||
\(186\) | −6.42898 | + | 15.1986i | −0.471396 | + | 1.11442i | ||||
\(187\) | −7.59425 | − | 16.6538i | −0.555347 | − | 1.21785i | ||||
\(188\) | 2.11759i | 0.154441i | ||||||||
\(189\) | 4.02586 | − | 3.28519i | 0.292838 | − | 0.238962i | ||||
\(190\) | 0.679348 | + | 0.493575i | 0.0492851 | + | 0.0358077i | ||||
\(191\) | −12.8084 | − | 17.6292i | −0.926780 | − | 1.27560i | −0.961102 | − | 0.276192i | \(-0.910927\pi\) |
0.0343227 | − | 0.999411i | \(-0.489073\pi\) | |||||||
\(192\) | −1.30862 | − | 1.13469i | −0.0944413 | − | 0.0818892i | ||||
\(193\) | 17.8519 | + | 5.80045i | 1.28501 | + | 0.417525i | 0.870342 | − | 0.492447i | \(-0.163897\pi\) |
0.414669 | + | 0.909972i | \(0.363897\pi\) | |||||||
\(194\) | 5.20440 | − | 3.78122i | 0.373654 | − | 0.271475i | ||||
\(195\) | −2.37242 | + | 1.42954i | −0.169893 | + | 0.102372i | ||||
\(196\) | −0.309017 | − | 0.951057i | −0.0220726 | − | 0.0679326i | ||||
\(197\) | −10.1234 | −0.721262 | −0.360631 | − | 0.932709i | \(-0.617439\pi\) | ||||
−0.360631 | + | 0.932709i | \(0.617439\pi\) | |||||||
\(198\) | 8.37698 | − | 5.36901i | 0.595326 | − | 0.381559i | ||||
\(199\) | 23.3180 | 1.65297 | 0.826484 | − | 0.562960i | \(-0.190338\pi\) | ||||
0.826484 | + | 0.562960i | \(0.190338\pi\) | |||||||
\(200\) | −1.42227 | − | 4.37729i | −0.100570 | − | 0.309521i | ||||
\(201\) | −2.99564 | + | 1.80507i | −0.211296 | + | 0.127320i | ||||
\(202\) | 9.34604 | − | 6.79030i | 0.657585 | − | 0.477764i | ||||
\(203\) | 0.831617 | + | 0.270209i | 0.0583681 | + | 0.0189649i | ||||
\(204\) | 7.22191 | + | 6.26206i | 0.505635 | + | 0.438432i | ||||
\(205\) | 1.46034 | + | 2.00998i | 0.101994 | + | 0.140383i | ||||
\(206\) | 3.40723 | + | 2.47550i | 0.237393 | + | 0.172476i | ||||
\(207\) | 22.2573 | + | 11.7630i | 1.54699 | + | 0.817588i | ||||
\(208\) | − | 2.53662i | − | 0.175883i | ||||||
\(209\) | −0.501116 | − | 4.38916i | −0.0346629 | − | 0.303604i | ||||
\(210\) | 0.425396 | − | 1.00567i | 0.0293551 | − | 0.0693978i | ||||
\(211\) | 11.1060 | − | 3.60856i | 0.764570 | − | 0.248424i | 0.0993310 | − | 0.995054i | \(-0.468330\pi\) |
0.665239 | + | 0.746631i | \(0.268330\pi\) | |||||||
\(212\) | 1.74092 | − | 2.39617i | 0.119567 | − | 0.164569i | ||||
\(213\) | 24.6263 | − | 5.71791i | 1.68737 | − | 0.391785i | ||||
\(214\) | 4.11008 | − | 12.6495i | 0.280959 | − | 0.864703i | ||||
\(215\) | −0.611942 | + | 1.88337i | −0.0417341 | + | 0.128444i | ||||
\(216\) | −2.81364 | + | 4.36846i | −0.191444 | + | 0.297236i | ||||
\(217\) | 5.60022 | − | 7.70804i | 0.380168 | − | 0.523256i | ||||
\(218\) | −17.8173 | + | 5.78918i | −1.20674 | + | 0.392093i | ||||
\(219\) | −4.50967 | − | 1.90758i | −0.304736 | − | 0.128903i | ||||
\(220\) | 1.02919 | − | 1.82007i | 0.0693878 | − | 0.122709i | ||||
\(221\) | 13.9989i | 0.941670i | ||||||||
\(222\) | −2.66619 | − | 0.229898i | −0.178943 | − | 0.0154297i | ||||
\(223\) | −6.49078 | − | 4.71583i | −0.434655 | − | 0.315795i | 0.348853 | − | 0.937178i | \(-0.386571\pi\) |
−0.783507 | + | 0.621382i | \(0.786571\pi\) | |||||||
\(224\) | 0.587785 | + | 0.809017i | 0.0392731 | + | 0.0540547i | ||||
\(225\) | −12.3951 | + | 6.08394i | −0.826337 | + | 0.405596i | ||||
\(226\) | 15.2449 | + | 4.95338i | 1.01408 | + | 0.329494i | ||||
\(227\) | 0.597813 | − | 0.434336i | 0.0396782 | − | 0.0288279i | −0.567769 | − | 0.823188i | \(-0.692193\pi\) |
0.607448 | + | 0.794360i | \(0.292193\pi\) | |||||||
\(228\) | 1.19070 | + | 1.97604i | 0.0788557 | + | 0.130867i | ||||
\(229\) | 1.91931 | + | 5.90703i | 0.126832 | + | 0.390348i | 0.994230 | − | 0.107266i | \(-0.0342097\pi\) |
−0.867399 | + | 0.497614i | \(0.834210\pi\) | |||||||
\(230\) | 5.29028 | 0.348831 | ||||||||
\(231\) | −5.41221 | + | 1.92561i | −0.356097 | + | 0.126696i | ||||
\(232\) | −0.874414 | −0.0574081 | ||||||||
\(233\) | 6.49607 | + | 19.9929i | 0.425572 | + | 1.30978i | 0.902446 | + | 0.430804i | \(0.141770\pi\) |
−0.476874 | + | 0.878972i | \(0.658230\pi\) | |||||||
\(234\) | −7.53312 | + | 1.07795i | −0.492455 | + | 0.0704680i | ||||
\(235\) | 1.08003 | − | 0.784689i | 0.0704535 | − | 0.0511875i | ||||
\(236\) | 6.52344 | + | 2.11959i | 0.424640 | + | 0.137974i | ||||
\(237\) | 11.1621 | − | 12.8731i | 0.725058 | − | 0.836196i | ||||
\(238\) | −3.24383 | − | 4.46475i | −0.210266 | − | 0.289407i | ||||
\(239\) | 8.06794 | + | 5.86170i | 0.521872 | + | 0.379162i | 0.817308 | − | 0.576200i | \(-0.195465\pi\) |
−0.295437 | + | 0.955362i | \(0.595465\pi\) | |||||||
\(240\) | −0.0938068 | + | 1.08790i | −0.00605520 | + | 0.0702238i | ||||
\(241\) | 15.9382i | 1.02667i | 0.858188 | + | 0.513336i | \(0.171591\pi\) | ||||
−0.858188 | + | 0.513336i | \(0.828409\pi\) | |||||||
\(242\) | −10.7169 | + | 2.47945i | −0.688910 | + | 0.159385i | ||||
\(243\) | 14.1689 | + | 6.49939i | 0.908936 | + | 0.416936i | ||||
\(244\) | −11.4880 | + | 3.73266i | −0.735441 | + | 0.238959i | ||||
\(245\) | −0.370558 | + | 0.510030i | −0.0236741 | + | 0.0325846i | ||||
\(246\) | 1.54381 | + | 6.64898i | 0.0984296 | + | 0.423923i | ||||
\(247\) | −1.04408 | + | 3.21335i | −0.0664333 | + | 0.204461i | ||||
\(248\) | −2.94421 | + | 9.06135i | −0.186958 | + | 0.575396i | ||||
\(249\) | 4.51686 | + | 19.4535i | 0.286245 | + | 1.23282i | ||||
\(250\) | −3.55831 | + | 4.89759i | −0.225047 | + | 0.309751i | ||||
\(251\) | −17.3036 | + | 5.62229i | −1.09220 | + | 0.354876i | −0.799094 | − | 0.601206i | \(-0.794687\pi\) |
−0.293101 | + | 0.956081i | \(0.594687\pi\) | |||||||
\(252\) | 2.15279 | − | 2.08937i | 0.135613 | − | 0.131618i | ||||
\(253\) | −18.8075 | − | 20.5152i | −1.18242 | − | 1.28978i | ||||
\(254\) | − | 9.27244i | − | 0.581804i | ||||||
\(255\) | 0.517695 | − | 6.00385i | 0.0324193 | − | 0.375976i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −4.68279 | − | 6.44531i | −0.292104 | − | 0.402047i | 0.637592 | − | 0.770374i | \(-0.279931\pi\) |
−0.929696 | + | 0.368327i | \(0.879931\pi\) | |||||||
\(258\) | −3.56424 | + | 4.11058i | −0.221900 | + | 0.255913i | ||||
\(259\) | 1.46942 | + | 0.477443i | 0.0913052 | + | 0.0296669i | ||||
\(260\) | −1.29375 | + | 0.939965i | −0.0802350 | + | 0.0582941i | ||||
\(261\) | 0.371588 | + | 2.59679i | 0.0230007 | + | 0.160737i | ||||
\(262\) | −1.98292 | − | 6.10281i | −0.122505 | − | 0.377033i | ||||
\(263\) | −6.20966 | −0.382904 | −0.191452 | − | 0.981502i | \(-0.561320\pi\) | ||||
−0.191452 | + | 0.981502i | \(0.561320\pi\) | |||||||
\(264\) | 4.55227 | − | 3.50383i | 0.280173 | − | 0.215646i | ||||
\(265\) | −1.86723 | −0.114703 | ||||||||
\(266\) | −0.411604 | − | 1.26679i | −0.0252370 | − | 0.0776716i | ||||
\(267\) | 10.1034 | + | 16.7673i | 0.618318 | + | 1.02614i | ||||
\(268\) | −1.63361 | + | 1.18689i | −0.0997887 | + | 0.0725007i | ||||
\(269\) | −3.05925 | − | 0.994012i | −0.186526 | − | 0.0606060i | 0.214265 | − | 0.976776i | \(-0.431265\pi\) |
−0.400791 | + | 0.916170i | \(0.631265\pi\) | |||||||
\(270\) | 3.27066 | − | 0.183730i | 0.199046 | − | 0.0111814i | ||||
\(271\) | 3.91340 | + | 5.38634i | 0.237722 | + | 0.327197i | 0.911164 | − | 0.412044i | \(-0.135185\pi\) |
−0.673442 | + | 0.739240i | \(0.735185\pi\) | |||||||
\(272\) | 4.46475 | + | 3.24383i | 0.270715 | + | 0.196686i | ||||
\(273\) | 4.37731 | + | 0.377443i | 0.264927 | + | 0.0228439i | ||||
\(274\) | 0.681434i | 0.0411670i | ||||||||
\(275\) | 15.1664 | − | 1.73157i | 0.914570 | − | 0.104418i | ||||
\(276\) | 13.3862 | + | 5.66234i | 0.805756 | + | 0.340833i | ||||
\(277\) | 12.2294 | − | 3.97356i | 0.734792 | − | 0.238748i | 0.0823673 | − | 0.996602i | \(-0.473752\pi\) |
0.652425 | + | 0.757854i | \(0.273752\pi\) | |||||||
\(278\) | −7.79784 | + | 10.7328i | −0.467684 | + | 0.643711i | ||||
\(279\) | 28.1611 | + | 4.89288i | 1.68596 | + | 0.292929i | ||||
\(280\) | 0.194814 | − | 0.599576i | 0.0116424 | − | 0.0358315i | ||||
\(281\) | 0.201056 | − | 0.618785i | 0.0119940 | − | 0.0369136i | −0.944880 | − | 0.327416i | \(-0.893822\pi\) |
0.956874 | + | 0.290502i | \(0.0938223\pi\) | |||||||
\(282\) | 3.57273 | − | 0.829542i | 0.212753 | − | 0.0493985i | ||||
\(283\) | −17.5012 | + | 24.0884i | −1.04034 | + | 1.43190i | −0.143445 | + | 0.989658i | \(0.545818\pi\) |
−0.896894 | + | 0.442246i | \(0.854182\pi\) | |||||||
\(284\) | 13.8818 | − | 4.51048i | 0.823735 | − | 0.267648i | ||||
\(285\) | 0.566618 | − | 1.33953i | 0.0335635 | − | 0.0793468i | ||||
\(286\) | 8.24450 | + | 1.67536i | 0.487508 | + | 0.0990664i | ||||
\(287\) | − | 3.94091i | − | 0.232624i | ||||||
\(288\) | −1.40178 | + | 2.65236i | −0.0826005 | + | 0.156292i | ||||
\(289\) | −10.8865 | − | 7.90951i | −0.640383 | − | 0.465265i | ||||
\(290\) | 0.324021 | + | 0.445977i | 0.0190272 | + | 0.0261887i | ||||
\(291\) | −8.41832 | − | 7.29945i | −0.493490 | − | 0.427901i | ||||
\(292\) | −2.68865 | − | 0.873596i | −0.157341 | − | 0.0511233i | ||||
\(293\) | −25.9493 | + | 18.8533i | −1.51598 | + | 1.10142i | −0.552538 | + | 0.833488i | \(0.686341\pi\) |
−0.963438 | + | 0.267933i | \(0.913659\pi\) | |||||||
\(294\) | −1.48354 | + | 0.893930i | −0.0865218 | + | 0.0521351i | ||||
\(295\) | −1.33626 | − | 4.11258i | −0.0778000 | − | 0.239444i | ||||
\(296\) | −1.54504 | −0.0898035 | ||||||||
\(297\) | −12.3400 | − | 12.0301i | −0.716041 | − | 0.698059i | ||||
\(298\) | −12.9536 | −0.750380 | ||||||||
\(299\) | 6.57776 | + | 20.2443i | 0.380402 | + | 1.17076i | ||||
\(300\) | −6.82807 | + | 4.11436i | −0.394219 | + | 0.237543i | ||||
\(301\) | 2.54125 | − | 1.84633i | 0.146475 | − | 0.106421i | ||||
\(302\) | 13.8955 | + | 4.51493i | 0.799597 | + | 0.259805i | ||||
\(303\) | −15.1176 | − | 13.1083i | −0.868483 | − | 0.753054i | ||||
\(304\) | 0.782917 | + | 1.07759i | 0.0449034 | + | 0.0618042i | ||||
\(305\) | 6.16073 | + | 4.47603i | 0.352762 | + | 0.256297i | ||||
\(306\) | 7.73604 | − | 14.6377i | 0.442240 | − | 0.836781i | ||||
\(307\) | − | 5.81483i | − | 0.331870i | −0.986137 | − | 0.165935i | \(-0.946936\pi\) | ||
0.986137 | − | 0.165935i | \(-0.0530642\pi\) | |||||||
\(308\) | −3.01768 | + | 1.37608i | −0.171948 | + | 0.0784097i | ||||
\(309\) | 2.84184 | − | 6.71833i | 0.161667 | − | 0.382192i | ||||
\(310\) | 5.71256 | − | 1.85612i | 0.324452 | − | 0.105421i | ||||
\(311\) | 9.86263 | − | 13.5748i | 0.559259 | − | 0.769754i | −0.431973 | − | 0.901886i | \(-0.642183\pi\) |
0.991232 | + | 0.132133i | \(0.0421825\pi\) | |||||||
\(312\) | −4.27970 | + | 0.993693i | −0.242290 | + | 0.0562568i | ||||
\(313\) | −6.18641 | + | 19.0398i | −0.349677 | + | 1.07619i | 0.609355 | + | 0.792897i | \(0.291428\pi\) |
−0.959032 | + | 0.283297i | \(0.908572\pi\) | |||||||
\(314\) | 3.86058 | − | 11.8816i | 0.217865 | − | 0.670520i | ||||
\(315\) | −1.86338 | − | 0.323755i | −0.104989 | − | 0.0182415i | ||||
\(316\) | 5.78214 | − | 7.95843i | 0.325271 | − | 0.447697i | ||||
\(317\) | −15.0841 | + | 4.90111i | −0.847205 | + | 0.275273i | −0.700275 | − | 0.713873i | \(-0.746939\pi\) |
−0.146930 | + | 0.989147i | \(0.546939\pi\) | |||||||
\(318\) | −4.72473 | − | 1.99855i | −0.264950 | − | 0.112073i | ||||
\(319\) | 0.577526 | − | 2.84202i | 0.0323352 | − | 0.159122i | ||||
\(320\) | 0.630432i | 0.0352422i | ||||||||
\(321\) | −22.9520 | − | 1.97908i | −1.28105 | − | 0.110462i | ||||
\(322\) | −6.78888 | − | 4.93241i | −0.378330 | − | 0.274873i | ||||
\(323\) | −4.32071 | − | 5.94695i | −0.240411 | − | 0.330897i | ||||
\(324\) | 8.47254 | + | 3.03579i | 0.470697 | + | 0.168655i | ||||
\(325\) | −11.1035 | − | 3.60775i | −0.615912 | − | 0.200122i | ||||
\(326\) | −1.18707 | + | 0.862455i | −0.0657456 | + | 0.0477670i | ||||
\(327\) | 16.7471 | + | 27.7929i | 0.926114 | + | 1.53695i | ||||
\(328\) | 1.21781 | + | 3.74802i | 0.0672421 | + | 0.206950i | ||||
\(329\) | −2.11759 | −0.116746 | ||||||||
\(330\) | −3.47394 | − | 1.02342i | −0.191234 | − | 0.0563374i | ||||
\(331\) | −23.9417 | −1.31595 | −0.657977 | − | 0.753038i | \(-0.728587\pi\) | ||||
−0.657977 | + | 0.753038i | \(0.728587\pi\) | |||||||
\(332\) | 3.56305 | + | 10.9659i | 0.195548 | + | 0.601834i | ||||
\(333\) | 0.656575 | + | 4.58837i | 0.0359801 | + | 0.251441i | ||||
\(334\) | 11.5088 | − | 8.36164i | 0.629734 | − | 0.457528i | ||||
\(335\) | 1.21070 | + | 0.393379i | 0.0661474 | + | 0.0214926i | ||||
\(336\) | 1.13469 | − | 1.30862i | 0.0619024 | − | 0.0713909i | ||||
\(337\) | −14.9753 | − | 20.6117i | −0.815755 | − | 1.12279i | −0.990410 | − | 0.138161i | \(-0.955881\pi\) |
0.174654 | − | 0.984630i | \(-0.444119\pi\) | |||||||
\(338\) | 5.31166 | + | 3.85915i | 0.288916 | + | 0.209910i | ||||
\(339\) | 2.38515 | − | 27.6612i | 0.129544 | − | 1.50235i | ||||
\(340\) | − | 3.47919i | − | 0.188685i | ||||||
\(341\) | −27.5066 | − | 15.5540i | −1.48957 | − | 0.842298i | ||||
\(342\) | 2.86747 | − | 2.78300i | 0.155055 | − | 0.150487i | ||||
\(343\) | 0.951057 | − | 0.309017i | 0.0513522 | − | 0.0166853i | ||||
\(344\) | −1.84633 | + | 2.54125i | −0.0995473 | + | 0.137015i | ||||
\(345\) | −2.07241 | − | 8.92560i | −0.111575 | − | 0.480538i | ||||
\(346\) | 0.562043 | − | 1.72979i | 0.0302156 | − | 0.0929941i | ||||
\(347\) | 3.05031 | − | 9.38790i | 0.163749 | − | 0.503969i | −0.835193 | − | 0.549958i | \(-0.814644\pi\) |
0.998942 | + | 0.0459888i | \(0.0146438\pi\) | |||||||
\(348\) | 0.342542 | + | 1.47528i | 0.0183622 | + | 0.0790835i | ||||
\(349\) | −2.19985 | + | 3.02783i | −0.117755 | + | 0.162076i | −0.863826 | − | 0.503791i | \(-0.831938\pi\) |
0.746070 | + | 0.665867i | \(0.231938\pi\) | |||||||
\(350\) | 4.37729 | − | 1.42227i | 0.233976 | − | 0.0760234i | ||||
\(351\) | 4.76971 | + | 12.2874i | 0.254588 | + | 0.655851i | ||||
\(352\) | 2.44475 | − | 2.24125i | 0.130306 | − | 0.119459i | ||||
\(353\) | − | 11.9930i | − | 0.638324i | −0.947700 | − | 0.319162i | \(-0.896599\pi\) | ||
0.947700 | − | 0.319162i | \(-0.103401\pi\) | |||||||
\(354\) | 1.02063 | − | 11.8365i | 0.0542457 | − | 0.629102i | ||||
\(355\) | −7.44451 | − | 5.40875i | −0.395114 | − | 0.287067i | ||||
\(356\) | 6.64328 | + | 9.14369i | 0.352093 | + | 0.484615i | ||||
\(357\) | −6.26206 | + | 7.22191i | −0.331423 | + | 0.382224i | ||||
\(358\) | −12.0756 | − | 3.92361i | −0.638217 | − | 0.207369i | ||||
\(359\) | −0.346004 | + | 0.251387i | −0.0182614 | + | 0.0132677i | −0.596879 | − | 0.802332i | \(-0.703593\pi\) |
0.578617 | + | 0.815599i | \(0.303593\pi\) | |||||||
\(360\) | 1.87222 | − | 0.267906i | 0.0986749 | − | 0.0141199i | ||||
\(361\) | 5.32308 | + | 16.3827i | 0.280162 | + | 0.862250i | ||||
\(362\) | −25.1759 | −1.32322 | ||||||||
\(363\) | 8.38149 | + | 17.1100i | 0.439914 | + | 0.898040i | ||||
\(364\) | 2.53662 | 0.132955 | ||||||||
\(365\) | 0.550742 | + | 1.69501i | 0.0288272 | + | 0.0887209i | ||||
\(366\) | 10.7979 | + | 17.9199i | 0.564416 | + | 0.936688i | ||||
\(367\) | −1.45752 | + | 1.05895i | −0.0760820 | + | 0.0552768i | −0.625176 | − | 0.780484i | \(-0.714973\pi\) |
0.549094 | + | 0.835761i | \(0.314973\pi\) | |||||||
\(368\) | 7.98081 | + | 2.59312i | 0.416029 | + | 0.135176i | ||||
\(369\) | 10.6132 | − | 5.20933i | 0.552500 | − | 0.271187i | ||||
\(370\) | 0.572527 | + | 0.788015i | 0.0297642 | + | 0.0409670i | ||||
\(371\) | 2.39617 | + | 1.74092i | 0.124403 | + | 0.0903839i | ||||
\(372\) | 16.4414 | + | 1.41769i | 0.852447 | + | 0.0735041i | ||||
\(373\) | 1.26194i | 0.0653405i | 0.999466 | + | 0.0326703i | \(0.0104011\pi\) | ||||
−0.999466 | + | 0.0326703i | \(0.989599\pi\) | |||||||
\(374\) | −13.4919 | + | 12.3689i | −0.697651 | + | 0.639579i | ||||
\(375\) | 9.65699 | + | 4.08489i | 0.498685 | + | 0.210943i | ||||
\(376\) | 2.01394 | − | 0.654370i | 0.103861 | − | 0.0337466i | ||||
\(377\) | −1.30374 | + | 1.79444i | −0.0671460 | + | 0.0924185i | ||||
\(378\) | −4.36846 | − | 2.81364i | −0.224689 | − | 0.144718i | ||||
\(379\) | 7.75359 | − | 23.8631i | 0.398275 | − | 1.22576i | −0.528107 | − | 0.849178i | \(-0.677098\pi\) |
0.926382 | − | 0.376586i | \(-0.122902\pi\) | |||||||
\(380\) | 0.259488 | − | 0.798622i | 0.0133115 | − | 0.0409684i | ||||
\(381\) | −15.6442 | + | 3.63238i | −0.801475 | + | 0.186092i | ||||
\(382\) | −12.8084 | + | 17.6292i | −0.655332 | + | 0.901987i | ||||
\(383\) | 5.66339 | − | 1.84015i | 0.289386 | − | 0.0940271i | −0.160727 | − | 0.986999i | \(-0.551384\pi\) |
0.450113 | + | 0.892972i | \(0.351384\pi\) | |||||||
\(384\) | −0.674769 | + | 1.59521i | −0.0344342 | + | 0.0814051i | ||||
\(385\) | 1.82007 | + | 1.02919i | 0.0927594 | + | 0.0524522i | ||||
\(386\) | − | 18.7706i | − | 0.955401i | ||||||
\(387\) | 8.33149 | + | 4.40321i | 0.423514 | + | 0.223828i | ||||
\(388\) | −5.20440 | − | 3.78122i | −0.264213 | − | 0.191962i | ||||
\(389\) | 15.3281 | + | 21.0973i | 0.777166 | + | 1.06968i | 0.995589 | + | 0.0938231i | \(0.0299088\pi\) |
−0.218423 | + | 0.975854i | \(0.570091\pi\) | |||||||
\(390\) | 2.09269 | + | 1.81456i | 0.105968 | + | 0.0918836i | ||||
\(391\) | −44.0440 | − | 14.3108i | −2.22740 | − | 0.723727i | ||||
\(392\) | −0.809017 | + | 0.587785i | −0.0408615 | + | 0.0296876i | ||||
\(393\) | −9.51968 | + | 5.73624i | −0.480205 | + | 0.289355i | ||||
\(394\) | 3.12830 | + | 9.62792i | 0.157602 | + | 0.485048i | ||||
\(395\) | −6.20166 | −0.312039 | ||||||||
\(396\) | −7.69486 | − | 6.30786i | −0.386681 | − | 0.316982i | ||||
\(397\) | −12.3838 | −0.621526 | −0.310763 | − | 0.950487i | \(-0.600585\pi\) | ||||
−0.310763 | + | 0.950487i | \(0.600585\pi\) | |||||||
\(398\) | −7.20565 | − | 22.1767i | −0.361187 | − | 1.11162i | ||||
\(399\) | −1.97604 | + | 1.19070i | −0.0989258 | + | 0.0596093i | ||||
\(400\) | −3.72355 | + | 2.70531i | −0.186177 | + | 0.135266i | ||||
\(401\) | 25.7508 | + | 8.36694i | 1.28593 | + | 0.417825i | 0.870666 | − | 0.491875i | \(-0.163688\pi\) |
0.415267 | + | 0.909700i | \(0.363688\pi\) | |||||||
\(402\) | 2.64243 | + | 2.29123i | 0.131793 | + | 0.114276i | ||||
\(403\) | 14.2056 | + | 19.5524i | 0.707632 | + | 0.973972i | ||||
\(404\) | −9.34604 | − | 6.79030i | −0.464983 | − | 0.337830i | ||||
\(405\) | −1.59123 | − | 5.44619i | −0.0790689 | − | 0.270623i | ||||
\(406\) | − | 0.874414i | − | 0.0433964i | ||||||
\(407\) | 1.02045 | − | 5.02168i | 0.0505820 | − | 0.248915i | ||||
\(408\) | 3.72388 | − | 8.80353i | 0.184359 | − | 0.435840i | ||||
\(409\) | −4.21983 | + | 1.37110i | −0.208657 | + | 0.0677968i | −0.411481 | − | 0.911419i | \(-0.634988\pi\) |
0.202824 | + | 0.979215i | \(0.434988\pi\) | |||||||
\(410\) | 1.46034 | − | 2.00998i | 0.0721208 | − | 0.0992658i | ||||
\(411\) | 1.14970 | − | 0.266945i | 0.0567103 | − | 0.0131674i | ||||
\(412\) | 1.30145 | − | 4.00544i | 0.0641177 | − | 0.197334i | ||||
\(413\) | −2.11959 | + | 6.52344i | −0.104298 | + | 0.320998i | ||||
\(414\) | 4.30942 | − | 24.8030i | 0.211797 | − | 1.21900i | ||||
\(415\) | 4.27264 | − | 5.88079i | 0.209736 | − | 0.288676i | ||||
\(416\) | −2.41247 | + | 0.783858i | −0.118281 | + | 0.0384318i | ||||
\(417\) | 21.1628 | + | 8.95182i | 1.03635 | + | 0.438372i | ||||
\(418\) | −4.01948 | + | 1.83291i | −0.196599 | + | 0.0896507i | ||||
\(419\) | − | 19.3186i | − | 0.943775i | −0.881659 | − | 0.471888i | \(-0.843573\pi\) | ||
0.881659 | − | 0.471888i | \(-0.156427\pi\) | |||||||
\(420\) | −1.08790 | − | 0.0938068i | −0.0530842 | − | 0.00457730i | ||||
\(421\) | −8.58284 | − | 6.23580i | −0.418302 | − | 0.303914i | 0.358652 | − | 0.933471i | \(-0.383236\pi\) |
−0.776954 | + | 0.629557i | \(0.783236\pi\) | |||||||
\(422\) | −6.86390 | − | 9.44734i | −0.334129 | − | 0.459889i | ||||
\(423\) | −2.79915 | − | 5.70283i | −0.136100 | − | 0.277281i | ||||
\(424\) | −2.81686 | − | 0.915255i | −0.136799 | − | 0.0444487i | ||||
\(425\) | 20.5493 | − | 14.9299i | 0.996786 | − | 0.724208i | ||||
\(426\) | −13.0480 | − | 21.6541i | −0.632178 | − | 1.04914i | ||||
\(427\) | −3.73266 | − | 11.4880i | −0.180636 | − | 0.555941i | ||||
\(428\) | −13.3005 | −0.642903 | ||||||||
\(429\) | −0.403073 | − | 14.5662i | −0.0194606 | − | 0.703262i | ||||
\(430\) | 1.98029 | 0.0954979 | ||||||||
\(431\) | −2.66569 | − | 8.20414i | −0.128402 | − | 0.395180i | 0.866104 | − | 0.499864i | \(-0.166617\pi\) |
−0.994505 | + | 0.104684i | \(0.966617\pi\) | |||||||
\(432\) | 5.02411 | + | 1.32600i | 0.241723 | + | 0.0637973i | ||||
\(433\) | 28.1535 | − | 20.4547i | 1.35297 | − | 0.982991i | 0.354113 | − | 0.935203i | \(-0.384783\pi\) |
0.998858 | − | 0.0477878i | \(-0.0152171\pi\) | |||||||
\(434\) | −9.06135 | − | 2.94421i | −0.434959 | − | 0.141327i | ||||
\(435\) | 0.625507 | − | 0.721386i | 0.0299908 | − | 0.0345878i | ||||
\(436\) | 11.0117 | + | 15.1563i | 0.527364 | + | 0.725854i | ||||
\(437\) | −9.04264 | − | 6.56986i | −0.432568 | − | 0.314279i | ||||
\(438\) | −0.420653 | + | 4.87843i | −0.0200996 | + | 0.233100i | ||||
\(439\) | 18.2973i | 0.873282i | 0.899636 | + | 0.436641i | \(0.143832\pi\) | ||||
−0.899636 | + | 0.436641i | \(0.856168\pi\) | |||||||
\(440\) | −2.04903 | − | 0.416382i | −0.0976835 | − | 0.0198503i | ||||
\(441\) | 2.08937 | + | 2.15279i | 0.0994939 | + | 0.102514i | ||||
\(442\) | 13.3138 | − | 4.32591i | 0.633271 | − | 0.205762i | ||||
\(443\) | 11.0429 | − | 15.1993i | 0.524666 | − | 0.722141i | −0.461640 | − | 0.887068i | \(-0.652739\pi\) |
0.986306 | + | 0.164926i | \(0.0527386\pi\) | |||||||
\(444\) | 0.605252 | + | 2.60674i | 0.0287240 | + | 0.123710i | ||||
\(445\) | 2.20183 | − | 6.77655i | 0.104377 | − | 0.321239i | ||||
\(446\) | −2.47926 | + | 7.63037i | −0.117396 | + | 0.361309i | ||||
\(447\) | 5.07442 | + | 21.8549i | 0.240012 | + | 1.03370i | ||||
\(448\) | 0.587785 | − | 0.809017i | 0.0277702 | − | 0.0382225i | ||||
\(449\) | 4.70915 | − | 1.53010i | 0.222238 | − | 0.0722097i | −0.195781 | − | 0.980648i | \(-0.562724\pi\) |
0.418020 | + | 0.908438i | \(0.362724\pi\) | |||||||
\(450\) | 9.61645 | + | 9.90836i | 0.453324 | + | 0.467084i | ||||
\(451\) | −12.9861 | + | 1.48265i | −0.611494 | + | 0.0698151i | ||||
\(452\) | − | 16.0295i | − | 0.753964i | ||||||
\(453\) | 2.17403 | − | 25.2128i | 0.102145 | − | 1.18460i | ||||
\(454\) | −0.597813 | − | 0.434336i | −0.0280567 | − | 0.0203844i | ||||
\(455\) | −0.939965 | − | 1.29375i | −0.0440662 | − | 0.0606520i | ||||
\(456\) | 1.51138 | − | 1.74305i | 0.0707769 | − | 0.0816257i | ||||
\(457\) | 13.7015 | + | 4.45188i | 0.640927 | + | 0.208250i | 0.611410 | − | 0.791314i | \(-0.290603\pi\) |
0.0295179 | + | 0.999564i | \(0.490603\pi\) | |||||||
\(458\) | 5.02482 | − | 3.65075i | 0.234795 | − | 0.170588i | ||||
\(459\) | −27.7268 | − | 7.31785i | −1.29417 | − | 0.341568i | ||||
\(460\) | −1.63479 | − | 5.03136i | −0.0762223 | − | 0.234588i | ||||
\(461\) | 15.7347 | 0.732840 | 0.366420 | − | 0.930450i | \(-0.380583\pi\) | ||||
0.366420 | + | 0.930450i | \(0.380583\pi\) | |||||||
\(462\) | 3.50383 | + | 4.55227i | 0.163013 | + | 0.211791i | ||||
\(463\) | 39.4648 | 1.83409 | 0.917043 | − | 0.398789i | \(-0.130570\pi\) | ||||
0.917043 | + | 0.398789i | \(0.130570\pi\) | |||||||
\(464\) | 0.270209 | + | 0.831617i | 0.0125441 | + | 0.0386068i | ||||
\(465\) | −5.36943 | − | 8.91094i | −0.249001 | − | 0.413235i | ||||
\(466\) | 17.0069 | − | 12.3563i | 0.787831 | − | 0.572393i | ||||
\(467\) | −16.1579 | − | 5.25002i | −0.747699 | − | 0.242942i | −0.0897082 | − | 0.995968i | \(-0.528593\pi\) |
−0.657991 | + | 0.753026i | \(0.728593\pi\) | |||||||
\(468\) | 3.35306 | + | 6.83131i | 0.154995 | + | 0.315778i | ||||
\(469\) | −1.18689 | − | 1.63361i | −0.0548054 | − | 0.0754332i | ||||
\(470\) | −1.08003 | − | 0.784689i | −0.0498182 | − | 0.0361950i | ||||
\(471\) | −21.5587 | − | 1.85894i | −0.993371 | − | 0.0856556i | ||||
\(472\) | − | 6.85915i | − | 0.315718i | ||||||
\(473\) | −7.04012 | − | 7.67935i | −0.323705 | − | 0.353097i | ||||
\(474\) | −15.6923 | − | 6.63782i | −0.720772 | − | 0.304885i | ||||
\(475\) | 5.83045 | − | 1.89443i | 0.267520 | − | 0.0869224i | ||||
\(476\) | −3.24383 | + | 4.46475i | −0.148681 | + | 0.204642i | ||||
\(477\) | −1.52103 | + | 8.75432i | −0.0696432 | + | 0.400833i | ||||
\(478\) | 3.08168 | − | 9.48443i | 0.140953 | − | 0.433808i | ||||
\(479\) | 7.29830 | − | 22.4619i | 0.333468 | − | 1.02631i | −0.634004 | − | 0.773330i | \(-0.718590\pi\) |
0.967472 | − | 0.252979i | \(-0.0814103\pi\) | |||||||
\(480\) | 1.06364 | − | 0.246965i | 0.0485485 | − | 0.0112724i | ||||
\(481\) | −2.30363 | + | 3.17067i | −0.105036 | + | 0.144570i | ||||
\(482\) | 15.1582 | − | 4.92519i | 0.690436 | − | 0.224336i | ||||
\(483\) | −5.66234 | + | 13.3862i | −0.257646 | + | 0.609094i | ||||
\(484\) | 5.66981 | + | 9.42620i | 0.257719 | + | 0.428464i | ||||
\(485\) | 4.05556i | 0.184153i | ||||||||
\(486\) | 1.80286 | − | 15.4839i | 0.0817793 | − | 0.702362i | ||||
\(487\) | −18.1924 | − | 13.2175i | −0.824374 | − | 0.598943i | 0.0935878 | − | 0.995611i | \(-0.470166\pi\) |
−0.917962 | + | 0.396668i | \(0.870166\pi\) | |||||||
\(488\) | 7.09995 | + | 9.77224i | 0.321399 | + | 0.442368i | ||||
\(489\) | 1.92013 | + | 1.66493i | 0.0868312 | + | 0.0752906i | ||||
\(490\) | 0.599576 | + | 0.194814i | 0.0270861 | + | 0.00880080i | ||||
\(491\) | 11.7331 | − | 8.52463i | 0.529510 | − | 0.384711i | −0.290665 | − | 0.956825i | \(-0.593876\pi\) |
0.820174 | + | 0.572114i | \(0.193876\pi\) | |||||||
\(492\) | 5.84649 | − | 3.52290i | 0.263580 | − | 0.158824i | ||||
\(493\) | −1.49121 | − | 4.58947i | −0.0671608 | − | 0.206700i | ||||
\(494\) | 3.37872 | 0.152016 | ||||||||
\(495\) | −0.365803 | + | 6.26204i | −0.0164416 | + | 0.281458i | ||||
\(496\) | 9.52767 | 0.427805 | ||||||||
\(497\) | 4.51048 | + | 13.8818i | 0.202323 | + | 0.622685i | ||||
\(498\) | 17.1056 | − | 10.3073i | 0.766521 | − | 0.461880i | ||||
\(499\) | −28.8722 | + | 20.9769i | −1.29250 | + | 0.939054i | −0.999853 | − | 0.0171678i | \(-0.994535\pi\) |
−0.292644 | + | 0.956221i | \(0.594535\pi\) | |||||||
\(500\) | 5.75746 | + | 1.87071i | 0.257482 | + | 0.0836608i | ||||
\(501\) | −18.6160 | − | 16.1417i | −0.831699 | − | 0.721159i | ||||
\(502\) | 10.6942 | + | 14.7193i | 0.477307 | + | 0.656957i | ||||
\(503\) | −17.0623 | − | 12.3965i | −0.760769 | − | 0.552731i | 0.138377 | − | 0.990380i | \(-0.455811\pi\) |
−0.899146 | + | 0.437649i | \(0.855811\pi\) | |||||||
\(504\) | −2.65236 | − | 1.40178i | −0.118146 | − | 0.0624401i | ||||
\(505\) | 7.28297i | 0.324088i | ||||||||
\(506\) | −13.6993 | + | 24.2265i | −0.609006 | + | 1.07700i | ||||
\(507\) | 4.43025 | − | 10.4734i | 0.196754 | − | 0.465142i | ||||
\(508\) | −8.81861 | + | 2.86534i | −0.391263 | + | 0.127129i | ||||
\(509\) | −0.518631 | + | 0.713835i | −0.0229879 | + | 0.0316402i | −0.820356 | − | 0.571853i | \(-0.806225\pi\) |
0.797368 | + | 0.603493i | \(0.206225\pi\) | |||||||
\(510\) | −5.86998 | + | 1.36293i | −0.259927 | + | 0.0603518i | ||||
\(511\) | 0.873596 | − | 2.68865i | 0.0386456 | − | 0.118939i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | −5.81869 | − | 3.74770i | −0.256901 | − | 0.165465i | ||||
\(514\) | −4.68279 | + | 6.44531i | −0.206549 | + | 0.284290i | ||||
\(515\) | −2.52516 | + | 0.820473i | −0.111272 | + | 0.0361544i | ||||
\(516\) | 5.01080 | + | 2.11956i | 0.220588 | + | 0.0933084i | ||||
\(517\) | 0.796678 | + | 6.97790i | 0.0350378 | + | 0.306888i | ||||
\(518\) | − | 1.54504i | − | 0.0678851i | ||||||
\(519\) | −3.13862 | − | 0.270634i | −0.137770 | − | 0.0118795i | ||||
\(520\) | 1.29375 | + | 0.939965i | 0.0567347 | + | 0.0412202i | ||||
\(521\) | 14.3316 | + | 19.7257i | 0.627878 | + | 0.864200i | 0.997897 | − | 0.0648241i | \(-0.0206486\pi\) |
−0.370018 | + | 0.929024i | \(0.620649\pi\) | |||||||
\(522\) | 2.35487 | − | 1.15585i | 0.103070 | − | 0.0505903i | ||||
\(523\) | 37.6294 | + | 12.2265i | 1.64542 | + | 0.534629i | 0.977740 | − | 0.209821i | \(-0.0672880\pi\) |
0.667679 | + | 0.744450i | \(0.267288\pi\) | |||||||
\(524\) | −5.19136 | + | 3.77174i | −0.226786 | + | 0.164769i | ||||
\(525\) | −4.11436 | − | 6.82807i | −0.179566 | − | 0.298002i | ||||
\(526\) | 1.91889 | + | 5.90574i | 0.0836676 | + | 0.257502i | ||||
\(527\) | −52.5807 | −2.29045 | ||||||||
\(528\) | −4.73907 | − | 3.24672i | −0.206242 | − | 0.141295i | ||||
\(529\) | −47.4177 | −2.06164 | ||||||||
\(530\) | 0.577006 | + | 1.77584i | 0.0250635 | + | 0.0771376i | ||||
\(531\) | −20.3700 | + | 2.91485i | −0.883981 | + | 0.126494i | ||||
\(532\) | −1.07759 | + | 0.782917i | −0.0467196 | + | 0.0339437i | ||||
\(533\) | 9.50730 | + | 3.08911i | 0.411807 | + | 0.133804i | ||||
\(534\) | 12.8245 | − | 14.7903i | 0.554971 | − | 0.640038i | ||||
\(535\) | 4.92861 | + | 6.78365i | 0.213082 | + | 0.293283i | ||||
\(536\) | 1.63361 | + | 1.18689i | 0.0705613 | + | 0.0512658i | ||||
\(537\) | −1.88930 | + | 21.9107i | −0.0815291 | + | 0.945516i | ||||
\(538\) | 3.21669i | 0.138681i | ||||||||
\(539\) | −1.37608 | − | 3.01768i | −0.0592722 | − | 0.129981i | ||||
\(540\) | −1.18543 | − | 3.05381i | −0.0510127 | − | 0.131415i | ||||
\(541\) | −0.990011 | + | 0.321674i | −0.0425639 | + | 0.0138298i | −0.330222 | − | 0.943903i | \(-0.607123\pi\) |
0.287658 | + | 0.957733i | \(0.407123\pi\) | |||||||
\(542\) | 3.91340 | − | 5.38634i | 0.168095 | − | 0.231363i | ||||
\(543\) | 9.86240 | + | 42.4760i | 0.423236 | + | 1.82282i | ||||
\(544\) | 1.70538 | − | 5.24863i | 0.0731177 | − | 0.225033i | ||||
\(545\) | 3.64968 | − | 11.2326i | 0.156335 | − | 0.481150i | ||||
\(546\) | −0.993693 | − | 4.27970i | −0.0425261 | − | 0.183154i | ||||
\(547\) | 3.89861 | − | 5.36598i | 0.166693 | − | 0.229433i | −0.717496 | − | 0.696562i | \(-0.754712\pi\) |
0.884189 | + | 0.467130i | \(0.154712\pi\) | |||||||
\(548\) | 0.648083 | − | 0.210575i | 0.0276847 | − | 0.00899531i | ||||
\(549\) | 26.0039 | − | 25.2378i | 1.10982 | − | 1.07712i | ||||
\(550\) | −6.33351 | − | 13.8890i | −0.270062 | − | 0.592231i | ||||
\(551\) | − | 1.16470i | − | 0.0496179i | ||||||
\(552\) | 1.24864 | − | 14.4808i | 0.0531456 | − | 0.616344i | ||||
\(553\) | 7.95843 | + | 5.78214i | 0.338427 | + | 0.245882i | ||||
\(554\) | −7.55817 | − | 10.4029i | −0.321116 | − | 0.441978i | ||||
\(555\) | 1.10523 | − | 1.27465i | 0.0469146 | − | 0.0541057i | ||||
\(556\) | 12.6172 | + | 4.09957i | 0.535088 | + | 0.173860i | ||||
\(557\) | 6.90709 | − | 5.01829i | 0.292663 | − | 0.212632i | −0.431759 | − | 0.901989i | \(-0.642107\pi\) |
0.724422 | + | 0.689357i | \(0.242107\pi\) | |||||||
\(558\) | −4.04885 | − | 28.2948i | −0.171402 | − | 1.19781i | ||||
\(559\) | 2.46222 | + | 7.57794i | 0.104141 | + | 0.320513i | ||||
\(560\) | −0.630432 | −0.0266406 | ||||||||
\(561\) | 26.1537 | + | 17.9178i | 1.10421 | + | 0.756491i | ||||
\(562\) | −0.650629 | −0.0274451 | ||||||||
\(563\) | 6.72338 | + | 20.6924i | 0.283357 | + | 0.872082i | 0.986886 | + | 0.161416i | \(0.0516062\pi\) |
−0.703530 | + | 0.710666i | \(0.748394\pi\) | |||||||
\(564\) | −1.89297 | − | 3.14152i | −0.0797086 | − | 0.132282i | ||||
\(565\) | −8.17552 | + | 5.93986i | −0.343947 | + | 0.249892i | ||||
\(566\) | 28.3176 | + | 9.20093i | 1.19028 | + | 0.386744i | ||||
\(567\) | −3.03579 | + | 8.47254i | −0.127491 | + | 0.355813i | ||||
\(568\) | −8.57944 | − | 11.8086i | −0.359985 | − | 0.495477i | ||||
\(569\) | 16.9747 | + | 12.3328i | 0.711617 | + | 0.517020i | 0.883695 | − | 0.468064i | \(-0.155048\pi\) |
−0.172078 | + | 0.985083i | \(0.555048\pi\) | |||||||
\(570\) | −1.44906 | − | 0.124949i | −0.0606945 | − | 0.00523352i | ||||
\(571\) | − | 42.7095i | − | 1.78734i | −0.448726 | − | 0.893669i | \(-0.648122\pi\) | ||
0.448726 | − | 0.893669i | \(-0.351878\pi\) | |||||||
\(572\) | −0.954326 | − | 8.35871i | −0.0399024 | − | 0.349495i | ||||
\(573\) | 34.7610 | + | 14.7038i | 1.45216 | + | 0.614261i | ||||
\(574\) | −3.74802 | + | 1.21781i | −0.156440 | + | 0.0508303i | ||||
\(575\) | 22.7017 | − | 31.2462i | 0.946727 | − | 1.30306i | ||||
\(576\) | 2.95572 | + | 0.513545i | 0.123155 | + | 0.0213977i | ||||
\(577\) | −11.8863 | + | 36.5823i | −0.494833 | + | 1.52294i | 0.322383 | + | 0.946609i | \(0.395516\pi\) |
−0.817216 | + | 0.576331i | \(0.804484\pi\) | |||||||
\(578\) | −4.15828 | + | 12.7979i | −0.172962 | + | 0.532321i | ||||
\(579\) | −31.6693 | + | 7.35320i | −1.31613 | + | 0.305589i | ||||
\(580\) | 0.324021 | − | 0.445977i | 0.0134543 | − | 0.0185182i | ||||
\(581\) | −10.9659 | + | 3.56305i | −0.454944 | + | 0.147820i | ||||
\(582\) | −4.34078 | + | 10.2619i | −0.179931 | + | 0.425371i | ||||
\(583\) | 4.83522 | − | 8.55086i | 0.200254 | − | 0.354141i | ||||
\(584\) | 2.82701i | 0.116983i | ||||||||
\(585\) | 2.24167 | − | 4.24156i | 0.0926817 | − | 0.175367i | ||||
\(586\) | 25.9493 | + | 18.8533i | 1.07196 | + | 0.778822i | ||||
\(587\) | 15.0522 | + | 20.7175i | 0.621270 | + | 0.855104i | 0.997445 | − | 0.0714444i | \(-0.0227608\pi\) |
−0.376175 | + | 0.926549i | \(0.622761\pi\) | |||||||
\(588\) | 1.30862 | + | 1.13469i | 0.0539665 | + | 0.0467938i | ||||
\(589\) | −12.0695 | − | 3.92162i | −0.497316 | − | 0.161588i | ||||
\(590\) | −3.49837 | + | 2.54172i | −0.144026 | + | 0.104641i | ||||
\(591\) | 15.0185 | − | 9.04961i | 0.617777 | − | 0.372251i | ||||
\(592\) | 0.477443 | + | 1.46942i | 0.0196228 | + | 0.0603927i | ||||
\(593\) | 29.3628 | 1.20579 | 0.602893 | − | 0.797822i | \(-0.294015\pi\) | ||||
0.602893 | + | 0.797822i | \(0.294015\pi\) | |||||||
\(594\) | −7.62805 | + | 15.4536i | −0.312983 | + | 0.634068i | ||||
\(595\) | 3.47919 | 0.142633 | ||||||||
\(596\) | 4.00287 | + | 12.3196i | 0.163964 | + | 0.504629i | ||||
\(597\) | −34.5931 | + | 20.8446i | −1.41580 | + | 0.853115i | ||||
\(598\) | 17.2208 | − | 12.5116i | 0.704211 | − | 0.511639i | ||||
\(599\) | −19.8325 | − | 6.44398i | −0.810336 | − | 0.263294i | −0.125596 | − | 0.992082i | \(-0.540084\pi\) |
−0.684740 | + | 0.728788i | \(0.740084\pi\) | |||||||
\(600\) | 6.02298 | + | 5.22247i | 0.245887 | + | 0.213207i | ||||
\(601\) | 0.292687 | + | 0.402849i | 0.0119390 | + | 0.0164326i | 0.814945 | − | 0.579539i | \(-0.196767\pi\) |
−0.803006 | + | 0.595971i | \(0.796767\pi\) | |||||||
\(602\) | −2.54125 | − | 1.84633i | −0.103574 | − | 0.0752507i | ||||
\(603\) | 2.83055 | − | 5.35579i | 0.115269 | − | 0.218105i | ||||
\(604\) | − | 14.6106i | − | 0.594497i | ||||||
\(605\) | 2.70665 | − | 6.38473i | 0.110041 | − | 0.259576i | ||||
\(606\) | −7.79517 | + | 18.4284i | −0.316657 | + | 0.748602i | ||||
\(607\) | 18.1219 | − | 5.88815i | 0.735544 | − | 0.238993i | 0.0827947 | − | 0.996567i | \(-0.473615\pi\) |
0.652749 | + | 0.757574i | \(0.273615\pi\) | |||||||
\(608\) | 0.782917 | − | 1.07759i | 0.0317515 | − | 0.0437021i | ||||
\(609\) | −1.47528 | + | 0.342542i | −0.0597815 | + | 0.0138805i | ||||
\(610\) | 2.35319 | − | 7.24237i | 0.0952778 | − | 0.293235i | ||||
\(611\) | 1.65989 | − | 5.10860i | 0.0671518 | − | 0.206672i | ||||
\(612\) | −16.3118 | − | 2.83412i | −0.659367 | − | 0.114562i | ||||
\(613\) | 3.97925 | − | 5.47697i | 0.160720 | − | 0.221213i | −0.721060 | − | 0.692872i | \(-0.756345\pi\) |
0.881781 | + | 0.471660i | \(0.156345\pi\) | |||||||
\(614\) | −5.53023 | + | 1.79688i | −0.223182 | + | 0.0725162i | ||||
\(615\) | −3.96325 | − | 1.67645i | −0.159814 | − | 0.0676008i | ||||
\(616\) | 2.24125 | + | 2.44475i | 0.0903025 | + | 0.0985018i | ||||
\(617\) | − | 3.45216i | − | 0.138979i | −0.997583 | − | 0.0694893i | \(-0.977863\pi\) | ||
0.997583 | − | 0.0694893i | \(-0.0221370\pi\) | |||||||
\(618\) | −7.26769 | − | 0.626672i | −0.292349 | − | 0.0252084i | ||||
\(619\) | 11.9591 | + | 8.68880i | 0.480677 | + | 0.349232i | 0.801588 | − | 0.597877i | \(-0.203989\pi\) |
−0.320911 | + | 0.947109i | \(0.603989\pi\) | |||||||
\(620\) | −3.53056 | − | 4.85940i | −0.141791 | − | 0.195158i | ||||
\(621\) | −43.5350 | + | 2.44558i | −1.74700 | + | 0.0981377i | ||||
\(622\) | −15.9581 | − | 5.18509i | −0.639861 | − | 0.207903i | ||||
\(623\) | −9.14369 | + | 6.64328i | −0.366334 | + | 0.266157i | ||||
\(624\) | 2.26756 | + | 3.76317i | 0.0907750 | + | 0.150647i | ||||
\(625\) | 5.93198 | + | 18.2568i | 0.237279 | + | 0.730271i | ||||
\(626\) | 20.0197 | 0.800146 | ||||||||
\(627\) | 4.66702 | + | 6.06352i | 0.186383 | + | 0.242154i | ||||
\(628\) | −12.4931 | −0.498529 | ||||||||
\(629\) | −2.63488 | − | 8.10933i | −0.105060 | − | 0.323340i | ||||
\(630\) | 0.267906 | + | 1.87222i | 0.0106737 | + | 0.0745912i | ||||
\(631\) | 6.83413 | − | 4.96529i | 0.272063 | − | 0.197665i | −0.443385 | − | 0.896331i | \(-0.646223\pi\) |
0.715448 | + | 0.698666i | \(0.246223\pi\) | |||||||
\(632\) | −9.35570 | − | 3.03985i | −0.372150 | − | 0.120919i | ||||
\(633\) | −13.2504 | + | 15.2815i | −0.526656 | + | 0.607383i | ||||
\(634\) | 9.32246 | + | 12.8313i | 0.370242 | + | 0.509594i | ||||
\(635\) | 4.72922 | + | 3.43598i | 0.187673 | + | 0.136353i | ||||
\(636\) | −0.440713 | + | 5.11107i | −0.0174754 | + | 0.202667i | ||||
\(637\) | 2.53662i | 0.100504i | ||||||||
\(638\) | −2.88138 | + | 0.328972i | −0.114075 | + | 0.0130241i | ||||
\(639\) | −31.4227 | + | 30.4969i | −1.24306 | + | 1.20644i | ||||
\(640\) | 0.599576 | − | 0.194814i | 0.0237003 | − | 0.00770070i | ||||
\(641\) | 1.42345 | − | 1.95921i | 0.0562229 | − | 0.0773841i | −0.779980 | − | 0.625805i | \(-0.784771\pi\) |
0.836203 | + | 0.548421i | \(0.184771\pi\) | |||||||
\(642\) | 5.21032 | + | 22.4402i | 0.205635 | + | 0.885643i | ||||
\(643\) | −13.3203 | + | 40.9956i | −0.525300 | + | 1.61671i | 0.238421 | + | 0.971162i | \(0.423370\pi\) |
−0.763721 | + | 0.645546i | \(0.776630\pi\) | |||||||
\(644\) | −2.59312 | + | 7.98081i | −0.102183 | + | 0.314488i | ||||
\(645\) | −0.775757 | − | 3.34108i | −0.0305454 | − | 0.131555i | ||||
\(646\) | −4.32071 | + | 5.94695i | −0.169996 | + | 0.233980i | ||||
\(647\) | 4.44343 | − | 1.44376i | 0.174689 | − | 0.0567599i | −0.220366 | − | 0.975417i | \(-0.570725\pi\) |
0.395056 | + | 0.918657i | \(0.370725\pi\) | |||||||
\(648\) | 0.269045 | − | 8.99598i | 0.0105691 | − | 0.353395i | ||||
\(649\) | 22.2936 | + | 4.53028i | 0.875100 | + | 0.177829i | ||||
\(650\) | 11.6749i | 0.457928i | ||||||||
\(651\) | −1.41769 | + | 16.4414i | −0.0555638 | + | 0.644389i | ||||
\(652\) | 1.18707 | + | 0.862455i | 0.0464891 | + | 0.0337763i | ||||
\(653\) | −4.56110 | − | 6.27782i | −0.178490 | − | 0.245670i | 0.710393 | − | 0.703806i | \(-0.248517\pi\) |
−0.888882 | + | 0.458136i | \(0.848517\pi\) | |||||||
\(654\) | 21.2575 | − | 24.5159i | 0.831234 | − | 0.958647i | ||||
\(655\) | 3.84740 | + | 1.25010i | 0.150331 | + | 0.0488453i | ||||
\(656\) | 3.18826 | − | 2.31641i | 0.124481 | − | 0.0904405i | ||||
\(657\) | 8.39553 | − | 1.20136i | 0.327541 | − | 0.0468695i | ||||
\(658\) | 0.654370 | + | 2.01394i | 0.0255100 | + | 0.0785117i | ||||
\(659\) | 44.5440 | 1.73519 | 0.867594 | − | 0.497273i | \(-0.165665\pi\) | ||||
0.867594 | + | 0.497273i | \(0.165665\pi\) | |||||||
\(660\) | 0.100177 | + | 3.62017i | 0.00389938 | + | 0.140915i | ||||
\(661\) | −22.6199 | −0.879812 | −0.439906 | − | 0.898044i | \(-0.644988\pi\) | ||||
−0.439906 | + | 0.898044i | \(0.644988\pi\) | |||||||
\(662\) | 7.39838 | + | 22.7699i | 0.287546 | + | 0.884977i | ||||
\(663\) | −12.5141 | − | 20.7680i | −0.486006 | − | 0.806561i | ||||
\(664\) | 9.32819 | − | 6.77733i | 0.362004 | − | 0.263011i | ||||
\(665\) | 0.798622 | + | 0.259488i | 0.0309692 | + | 0.0100625i | ||||
\(666\) | 4.16091 | − | 2.04233i | 0.161232 | − | 0.0791385i | ||||
\(667\) | −4.31297 | − | 5.93629i | −0.166999 | − | 0.229854i | ||||
\(668\) | −11.5088 | − | 8.36164i | −0.445289 | − | 0.323521i | ||||
\(669\) | 13.8450 | + | 1.19381i | 0.535277 | + | 0.0461554i | ||||
\(670\) | − | 1.27300i | − | 0.0491804i | ||||||
\(671\) | −36.4510 | + | 16.6219i | −1.40718 | + | 0.641682i | ||||
\(672\) | −1.59521 | − | 0.674769i | −0.0615365 | − | 0.0260298i | ||||
\(673\) | −16.5856 | + | 5.38899i | −0.639328 | + | 0.207730i | −0.610703 | − | 0.791860i | \(-0.709113\pi\) |
−0.0286253 | + | 0.999590i | \(0.509113\pi\) | |||||||
\(674\) | −14.9753 | + | 20.6117i | −0.576826 | + | 0.793933i | ||||
\(675\) | 12.9499 | − | 20.1061i | 0.498443 | − | 0.773883i | ||||
\(676\) | 2.02887 | − | 6.24423i | 0.0780336 | − | 0.240163i | ||||
\(677\) | −2.42101 | + | 7.45110i | −0.0930470 | + | 0.286369i | −0.986740 | − | 0.162310i | \(-0.948105\pi\) |
0.893693 | + | 0.448679i | \(0.148105\pi\) | |||||||
\(678\) | −27.0445 | + | 6.27938i | −1.03864 | + | 0.241158i | ||||
\(679\) | 3.78122 | − | 5.20440i | 0.145110 | − | 0.199726i | ||||
\(680\) | −3.30890 | + | 1.07513i | −0.126891 | + | 0.0412293i | ||||
\(681\) | −0.498612 | + | 1.17876i | −0.0191069 | + | 0.0451701i | ||||
\(682\) | −6.29276 | + | 30.9668i | −0.240962 | + | 1.18578i | ||||
\(683\) | 12.7730i | 0.488744i | 0.969682 | + | 0.244372i | \(0.0785817\pi\) | ||||
−0.969682 | + | 0.244372i | \(0.921418\pi\) | |||||||
\(684\) | −3.53289 | − | 1.86714i | −0.135083 | − | 0.0713917i | ||||
\(685\) | −0.347552 | − | 0.252511i | −0.0132793 | − | 0.00964796i | ||||
\(686\) | −0.587785 | − | 0.809017i | −0.0224417 | − | 0.0308884i | ||||
\(687\) | −8.12785 | − | 7.04758i | −0.310097 | − | 0.268882i | ||||
\(688\) | 2.98742 | + | 0.970672i | 0.113894 | + | 0.0370065i | ||||
\(689\) | −6.07816 | + | 4.41604i | −0.231559 | + | 0.168238i | ||||
\(690\) | −7.84834 | + | 4.72914i | −0.298781 | + | 0.180035i | ||||
\(691\) | 1.20378 | + | 3.70486i | 0.0457941 | + | 0.140940i | 0.971339 | − | 0.237698i | \(-0.0763928\pi\) |
−0.925545 | + | 0.378637i | \(0.876393\pi\) | |||||||
\(692\) | −1.81881 | −0.0691407 | ||||||||
\(693\) | 6.30786 | − | 7.69486i | 0.239616 | − | 0.292304i | ||||
\(694\) | −9.87102 | −0.374699 | ||||||||
\(695\) | −2.58450 | − | 7.95427i | −0.0980356 | − | 0.301723i | ||||
\(696\) | 1.29723 | − | 0.781665i | 0.0491713 | − | 0.0296289i | ||||
\(697\) | −17.5952 | + | 12.7836i | −0.666465 | + | 0.484215i | ||||
\(698\) | 3.55943 | + | 1.15653i | 0.134727 | + | 0.0437753i | ||||
\(699\) | −27.5094 | − | 23.8531i | −1.04050 | − | 0.902209i | ||||
\(700\) | −2.70531 | − | 3.72355i | −0.102251 | − | 0.140737i | ||||
\(701\) | 32.4724 | + | 23.5926i | 1.22647 | + | 0.891080i | 0.996620 | − | 0.0821466i | \(-0.0261776\pi\) |
0.229847 | + | 0.973227i | \(0.426178\pi\) | |||||||
\(702\) | 10.2121 | − | 8.33327i | 0.385429 | − | 0.314519i | ||||
\(703\) | − | 2.05796i | − | 0.0776173i | ||||||
\(704\) | −2.88702 | − | 1.63251i | −0.108809 | − | 0.0615276i | ||||
\(705\) | −0.900812 | + | 2.12959i | −0.0339266 | + | 0.0802050i | ||||
\(706\) | −11.4060 | + | 3.70605i | −0.429272 | + | 0.139479i | ||||
\(707\) | 6.79030 | − | 9.34604i | 0.255375 | − | 0.351494i | ||||
\(708\) | −11.5726 | + | 2.68700i | −0.434923 | + | 0.100984i | ||||
\(709\) | −0.860744 | + | 2.64910i | −0.0323259 | + | 0.0994890i | −0.965918 | − | 0.258850i | \(-0.916657\pi\) |
0.933592 | + | 0.358339i | \(0.116657\pi\) | |||||||
\(710\) | −2.84355 | + | 8.75154i | −0.106717 | + | 0.328440i | ||||
\(711\) | −5.05182 | + | 29.0759i | −0.189458 | + | 1.09043i | ||||
\(712\) | 6.64328 | − | 9.14369i | 0.248968 | − | 0.342674i | ||||
\(713\) | −76.0385 | + | 24.7064i | −2.84767 | + | 0.925262i | ||||
\(714\) | 8.80353 | + | 3.72388i | 0.329464 | + | 0.139363i | ||||
\(715\) | −3.90956 | + | 3.58412i | −0.146209 | + | 0.134039i | ||||
\(716\) | 12.6971i | 0.474512i | ||||||||
\(717\) | −17.2091 | − | 1.48389i | −0.642684 | − | 0.0554168i | ||||
\(718\) | 0.346004 | + | 0.251387i | 0.0129128 | + | 0.00938168i | ||||
\(719\) | −13.3890 | − | 18.4284i | −0.499326 | − | 0.687264i | 0.482748 | − | 0.875760i | \(-0.339639\pi\) |
−0.982074 | + | 0.188496i | \(0.939639\pi\) | |||||||
\(720\) | −0.833343 | − | 1.69780i | −0.0310569 | − | 0.0632734i | ||||
\(721\) | 4.00544 | + | 1.30145i | 0.149170 | + | 0.0484684i | ||||
\(722\) | 13.9360 | − | 10.1251i | 0.518644 | − | 0.376817i | ||||
\(723\) | −14.2477 | − | 23.6450i | −0.529877 | − | 0.879367i | ||||
\(724\) | 7.77978 | + | 23.9437i | 0.289133 | + | 0.889861i | ||||
\(725\) | 4.02454 | 0.149468 | ||||||||
\(726\) | 13.6825 | − | 13.2585i | 0.507806 | − | 0.492071i | ||||
\(727\) | 34.4923 | 1.27925 | 0.639624 | − | 0.768688i | \(-0.279090\pi\) | ||||
0.639624 | + | 0.768688i | \(0.279090\pi\) | |||||||
\(728\) | −0.783858 | − | 2.41247i | −0.0290517 | − | 0.0894120i | ||||
\(729\) | −26.8301 | + | 3.02391i | −0.993709 | + | 0.111997i | ||||
\(730\) | 1.44186 | − | 1.04757i | 0.0533657 | − | 0.0387725i | ||||
\(731\) | −16.4868 | − | 5.35688i | −0.609786 | − | 0.198132i | ||||
\(732\) | 13.7061 | − | 15.8070i | 0.506592 | − | 0.584243i | ||||
\(733\) | 8.22700 | + | 11.3235i | 0.303871 | + | 0.418243i | 0.933458 | − | 0.358688i | \(-0.116776\pi\) |
−0.629586 | + | 0.776930i | \(0.716776\pi\) | |||||||
\(734\) | 1.45752 | + | 1.05895i | 0.0537981 | + | 0.0390866i | ||||
\(735\) | 0.0938068 | − | 1.08790i | 0.00346011 | − | 0.0401279i | ||||
\(736\) | − | 8.39152i | − | 0.309316i | ||||||
\(737\) | −4.93657 | + | 4.52565i | −0.181841 | + | 0.166705i | ||||
\(738\) | −8.23402 | − | 8.48396i | −0.303098 | − | 0.312299i | ||||
\(739\) | 47.1724 | − | 15.3272i | 1.73526 | − | 0.563821i | 0.741070 | − | 0.671428i | \(-0.234319\pi\) |
0.994194 | + | 0.107606i | \(0.0343186\pi\) | |||||||
\(740\) | 0.572527 | − | 0.788015i | 0.0210465 | − | 0.0289680i | ||||
\(741\) | −1.32358 | − | 5.70047i | −0.0486228 | − | 0.209412i | ||||
\(742\) | 0.915255 | − | 2.81686i | 0.0336001 | − | 0.103410i | ||||
\(743\) | 3.78938 | − | 11.6625i | 0.139019 | − | 0.427856i | −0.857175 | − | 0.515026i | \(-0.827782\pi\) |
0.996193 | + | 0.0871698i | \(0.0277823\pi\) | |||||||
\(744\) | −3.73236 | − | 16.0748i | −0.136835 | − | 0.589330i | ||||
\(745\) | 4.80005 | − | 6.60670i | 0.175860 | − | 0.242051i | ||||
\(746\) | 1.20017 | − | 0.389960i | 0.0439414 | − | 0.0142774i | ||||
\(747\) | −24.0910 | − | 24.8223i | −0.881445 | − | 0.908201i | ||||
\(748\) | 15.9327 | + | 9.00941i | 0.582558 | + | 0.329417i | ||||
\(749\) | − | 13.3005i | − | 0.485989i | ||||||
\(750\) | 0.900785 | − | 10.4466i | 0.0328920 | − | 0.381458i | ||||
\(751\) | 33.8547 | + | 24.5969i | 1.23538 | + | 0.897554i | 0.997281 | − | 0.0736882i | \(-0.0234770\pi\) |
0.238095 | + | 0.971242i | \(0.423477\pi\) | |||||||
\(752\) | −1.24469 | − | 1.71316i | −0.0453890 | − | 0.0624726i | ||||
\(753\) | 20.6447 | − | 23.8091i | 0.752334 | − | 0.867653i | ||||
\(754\) | 2.10949 | + | 0.685416i | 0.0768232 | + | 0.0249614i | ||||
\(755\) | −7.45185 | + | 5.41409i | −0.271201 | + | 0.197039i | ||||
\(756\) | −1.32600 | + | 5.02411i | −0.0482262 | + | 0.182725i | ||||
\(757\) | −10.5531 | − | 32.4791i | −0.383559 | − | 1.18047i | −0.937521 | − | 0.347930i | \(-0.886885\pi\) |
0.553962 | − | 0.832542i | \(-0.313115\pi\) | |||||||
\(758\) | −25.0911 | −0.911351 | ||||||||
\(759\) | 46.2408 | + | 13.6225i | 1.67843 | + | 0.494465i | ||||
\(760\) | −0.839721 | −0.0304599 | ||||||||
\(761\) | 14.6982 | + | 45.2365i | 0.532810 | + | 1.63982i | 0.748334 | + | 0.663322i | \(0.230854\pi\) |
−0.215524 | + | 0.976498i | \(0.569146\pi\) | |||||||
\(762\) | 8.28891 | + | 13.7560i | 0.300276 | + | 0.498328i | ||||
\(763\) | −15.1563 | + | 11.0117i | −0.548694 | + | 0.398650i | ||||
\(764\) | 20.7243 | + | 6.73375i | 0.749781 | + | 0.243618i | ||||
\(765\) | 4.59900 | + | 9.36973i | 0.166277 | + | 0.338763i | ||||
\(766\) | −3.50017 | − | 4.81756i | −0.126466 | − | 0.174066i | ||||
\(767\) | −14.0761 | − | 10.2269i | −0.508259 | − | 0.369272i | ||||
\(768\) | 1.72565 | + | 0.148798i | 0.0622689 | + | 0.00536927i | ||||
\(769\) | 53.6365i | 1.93418i | 0.254434 | + | 0.967090i | \(0.418111\pi\) | ||||
−0.254434 | + | 0.967090i | \(0.581889\pi\) | |||||||
\(770\) | 0.416382 | − | 2.04903i | 0.0150054 | − | 0.0738418i | ||||
\(771\) | 12.7088 | + | 5.37578i | 0.457695 | + | 0.193604i | ||||
\(772\) | −17.8519 | + | 5.80045i | −0.642506 | + | 0.208763i | ||||
\(773\) | 22.4085 | − | 30.8427i | 0.805979 | − | 1.10934i | −0.185952 | − | 0.982559i | \(-0.559537\pi\) |
0.991931 | − | 0.126777i | \(-0.0404632\pi\) | |||||||
\(774\) | 1.61313 | − | 9.28439i | 0.0579826 | − | 0.333720i | ||||
\(775\) | 13.5509 | − | 41.7054i | 0.486763 | − | 1.49810i | ||||
\(776\) | −1.98790 | + | 6.11813i | −0.0713615 | + | 0.219628i | ||||
\(777\) | −2.60674 | + | 0.605252i | −0.0935163 | + | 0.0217133i | ||||
\(778\) | 15.3281 | − | 21.0973i | 0.549539 | − | 0.756376i | ||||
\(779\) | −4.99228 | + | 1.62209i | −0.178867 | + | 0.0581175i | ||||
\(780\) | 1.07907 | − | 2.55100i | 0.0386368 | − | 0.0913404i | ||||
\(781\) | 44.0467 | − | 20.0856i | 1.57612 | − | 0.718720i | ||||
\(782\) | 46.3106i | 1.65606i | ||||||||
\(783\) | −2.87261 | − | 3.52026i | −0.102659 | − | 0.125804i | ||||
\(784\) | 0.809017 | + | 0.587785i | 0.0288935 | + | 0.0209923i | ||||
\(785\) | 4.62942 | + | 6.37185i | 0.165231 | + | 0.227421i | ||||
\(786\) | 8.39723 | + | 7.28116i | 0.299519 | + | 0.259710i | ||||
\(787\) | 5.70183 | + | 1.85264i | 0.203248 | + | 0.0660394i | 0.408872 | − | 0.912592i | \(-0.365922\pi\) |
−0.205624 | + | 0.978631i | \(0.565922\pi\) | |||||||
\(788\) | 8.19000 | − | 5.95038i | 0.291757 | − | 0.211974i | ||||
\(789\) | 9.21228 | − | 5.55100i | 0.327966 | − | 0.197621i | ||||
\(790\) | 1.91642 | + | 5.89813i | 0.0681831 | + | 0.209846i | ||||
\(791\) | 16.0295 | 0.569943 | ||||||||
\(792\) | −3.62129 | + | 9.26748i | −0.128677 | + | 0.329306i | ||||
\(793\) | 30.6402 | 1.08806 | ||||||||
\(794\) | 3.82681 | + | 11.7777i | 0.135808 | + | 0.417975i | ||||
\(795\) | 2.77011 | − | 1.66917i | 0.0982456 | − | 0.0591995i | ||||
\(796\) | −18.8646 | + | 13.7060i | −0.668639 | + | 0.485795i | ||||
\(797\) | 17.5693 | + | 5.70862i | 0.622337 | + | 0.202210i | 0.603178 | − | 0.797607i | \(-0.293901\pi\) |
0.0191596 | + | 0.999816i | \(0.493901\pi\) | |||||||
\(798\) | 1.74305 | + | 1.51138i | 0.0617032 | + | 0.0535023i | ||||
\(799\) | 6.86909 | + | 9.45450i | 0.243011 | + | 0.334476i | ||||
\(800\) | 3.72355 | + | 2.70531i | 0.131647 | + | 0.0956473i | ||||
\(801\) | −29.9776 | − | 15.8432i | −1.05921 | − | 0.559792i | ||||
\(802\) | − | 27.0760i | − | 0.956086i | ||||||
\(803\) | −9.18835 | − | 1.86716i | −0.324250 | − | 0.0658908i | ||||
\(804\) | 1.36253 | − | 3.22113i | 0.0480528 | − | 0.113601i | ||||
\(805\) | 5.03136 | − | 1.63479i | 0.177332 | − | 0.0576187i | ||||
\(806\) | 14.2056 | − | 19.5524i | 0.500372 | − | 0.688702i | ||||
\(807\) | 5.42710 | − | 1.26010i | 0.191043 | − | 0.0443578i | ||||
\(808\) | −3.56987 | + | 10.9869i | −0.125588 | + | 0.386519i | ||||
\(809\) | −5.66184 | + | 17.4254i | −0.199060 | + | 0.612643i | 0.800845 | + | 0.598871i | \(0.204384\pi\) |
−0.999905 | + | 0.0137719i | \(0.995616\pi\) | |||||||
\(810\) | −4.68791 | + | 3.19631i | −0.164717 | + | 0.112307i | ||||
\(811\) | 9.62759 | − | 13.2512i | 0.338070 | − | 0.465314i | −0.605806 | − | 0.795612i | \(-0.707149\pi\) |
0.943877 | + | 0.330298i | \(0.107149\pi\) | |||||||
\(812\) | −0.831617 | + | 0.270209i | −0.0291840 | + | 0.00948246i | ||||
\(813\) | −10.6207 | − | 4.49253i | −0.372484 | − | 0.157560i | ||||
\(814\) | −5.09124 | + | 0.581274i | −0.178448 | + | 0.0203736i | ||||
\(815\) | − | 0.925030i | − | 0.0324024i | ||||||
\(816\) | −9.52340 | − | 0.821175i | −0.333386 | − | 0.0287469i | ||||
\(817\) | −3.38489 | − | 2.45927i | −0.118422 | − | 0.0860389i | ||||
\(818\) | 2.60800 | + | 3.58960i | 0.0911864 | + | 0.125507i | ||||
\(819\) | −6.83131 | + | 3.35306i | −0.238705 | + | 0.117165i | ||||
\(820\) | −2.36287 | − | 0.767744i | −0.0825151 | − | 0.0268108i | ||||
\(821\) | 28.3622 | − | 20.6064i | 0.989849 | − | 0.719167i | 0.0299609 | − | 0.999551i | \(-0.490462\pi\) |
0.959888 | + | 0.280384i | \(0.0904617\pi\) | |||||||
\(822\) | −0.609155 | − | 1.01093i | −0.0212467 | − | 0.0352604i | ||||
\(823\) | 1.87525 | + | 5.77143i | 0.0653671 | + | 0.201179i | 0.978406 | − | 0.206694i | \(-0.0662705\pi\) |
−0.913039 | + | 0.407873i | \(0.866270\pi\) | |||||||
\(824\) | −4.21157 | −0.146717 | ||||||||
\(825\) | −20.9521 | + | 16.1266i | −0.729458 | + | 0.561455i | ||||
\(826\) | 6.85915 | 0.238660 | ||||||||
\(827\) | −8.65051 | − | 26.6235i | −0.300808 | − | 0.925791i | −0.981208 | − | 0.192951i | \(-0.938194\pi\) |
0.680401 | − | 0.732840i | \(-0.261806\pi\) | |||||||
\(828\) | −24.9207 | + | 3.56604i | −0.866055 | + | 0.123928i | ||||
\(829\) | 6.28298 | − | 4.56485i | 0.218217 | − | 0.158544i | −0.473307 | − | 0.880898i | \(-0.656940\pi\) |
0.691524 | + | 0.722354i | \(0.256940\pi\) | |||||||
\(830\) | −6.91328 | − | 2.24626i | −0.239963 | − | 0.0779688i | ||||
\(831\) | −14.5907 | + | 16.8271i | −0.506145 | + | 0.583727i | ||||
\(832\) | 1.49099 | + | 2.05217i | 0.0516906 | + | 0.0711461i | ||||
\(833\) | −4.46475 | − | 3.24383i | −0.154695 | − | 0.112392i | ||||
\(834\) | 1.97402 | − | 22.8933i | 0.0683548 | − | 0.792729i | ||||
\(835\) | 8.96831i | 0.310361i | ||||||||
\(836\) | 2.98529 | + | 3.25635i | 0.103248 | + | 0.112623i | ||||
\(837\) | −46.1520 | + | 17.9153i | −1.59525 | + | 0.619243i | ||||
\(838\) | −18.3731 | + | 5.96978i | −0.634688 | + | 0.206222i | ||||
\(839\) | 18.3419 | − | 25.2455i | 0.633233 | − | 0.871571i | −0.364999 | − | 0.931008i | \(-0.618931\pi\) |
0.998232 | + | 0.0594374i | \(0.0189307\pi\) | |||||||
\(840\) | 0.246965 | + | 1.06364i | 0.00852110 | + | 0.0366992i | ||||
\(841\) | −8.72522 | + | 26.8535i | −0.300870 | + | 0.925981i | ||||
\(842\) | −3.27835 | + | 10.0897i | −0.112980 | + | 0.347715i | ||||
\(843\) | 0.254877 | + | 1.09772i | 0.00877844 | + | 0.0378076i | ||||
\(844\) | −6.86390 | + | 9.44734i | −0.236265 | + | 0.325191i | ||||
\(845\) | −3.93656 | + | 1.27907i | −0.135422 | + | 0.0440012i | ||||
\(846\) | −4.55873 | + | 4.42442i | −0.156732 | + | 0.152115i | ||||
\(847\) | −9.42620 | + | 5.66981i | −0.323888 | + | 0.194817i | ||||
\(848\) | 2.96183i | 0.101710i | ||||||||
\(849\) | 4.43043 | − | 51.3809i | 0.152052 | − | 1.76339i | ||||
\(850\) | −20.5493 | − | 14.9299i | −0.704834 | − | 0.512092i | ||||
\(851\) | −7.62076 | − | 10.4891i | −0.261236 | − | 0.359561i | ||||
\(852\) | −16.5622 | + | 19.1009i | −0.567411 | + | 0.654385i | ||||
\(853\) | 24.6729 | + | 8.01672i | 0.844785 | + | 0.274487i | 0.699260 | − | 0.714867i | \(-0.253513\pi\) |
0.145525 | + | 0.989355i | \(0.453513\pi\) | |||||||
\(854\) | −9.77224 | + | 7.09995i | −0.334399 | + | 0.242955i | ||||
\(855\) | 0.356845 | + | 2.49376i | 0.0122039 | + | 0.0852848i | ||||
\(856\) | 4.11008 | + | 12.6495i | 0.140480 | + | 0.432351i | ||||
\(857\) | 37.7086 | 1.28810 | 0.644051 | − | 0.764983i | \(-0.277253\pi\) | ||||
0.644051 | + | 0.764983i | \(0.277253\pi\) | |||||||
\(858\) | −13.7287 | + | 4.88454i | −0.468690 | + | 0.166756i | ||||
\(859\) | −29.0890 | −0.992504 | −0.496252 | − | 0.868178i | \(-0.665291\pi\) | ||||
−0.496252 | + | 0.868178i | \(0.665291\pi\) | |||||||
\(860\) | −0.611942 | − | 1.88337i | −0.0208671 | − | 0.0642222i | ||||
\(861\) | 3.52290 | + | 5.84649i | 0.120060 | + | 0.199248i | ||||
\(862\) | −6.97886 | + | 5.07044i | −0.237701 | + | 0.172700i | ||||
\(863\) | 9.67850 | + | 3.14473i | 0.329460 | + | 0.107048i | 0.469076 | − | 0.883158i | \(-0.344587\pi\) |
−0.139616 | + | 0.990206i | \(0.544587\pi\) | |||||||
\(864\) | −0.291435 | − | 5.18797i | −0.00991481 | − | 0.176498i | ||||
\(865\) | 0.673975 | + | 0.927647i | 0.0229158 | + | 0.0315409i | ||||
\(866\) | −28.1535 | − | 20.4547i | −0.956695 | − | 0.695079i | ||||
\(867\) | 23.2211 | + | 2.00229i | 0.788630 | + | 0.0680014i | ||||
\(868\) | 9.52767i | 0.323390i | ||||||||
\(869\) | 16.0593 | − | 28.4001i | 0.544774 | − | 0.963408i | ||||
\(870\) | −0.879371 | − | 0.371972i | −0.0298135 | − | 0.0126110i | ||||
\(871\) | 4.87138 | − | 1.58281i | 0.165061 | − | 0.0536314i | ||||
\(872\) | 11.0117 | − | 15.1563i | 0.372902 | − | 0.513256i | ||||
\(873\) | 19.0141 | + | 3.30363i | 0.643530 | + | 0.111811i | ||||
\(874\) | −3.45398 | + | 10.6303i | −0.116833 | + | 0.359574i | ||||
\(875\) | −1.87071 | + | 5.75746i | −0.0632417 | + | 0.194638i | ||||
\(876\) | 4.76965 | − | 1.10745i | 0.161152 | − | 0.0374174i | ||||
\(877\) | 23.5954 | − | 32.4762i | 0.796759 | − | 1.09664i | −0.196475 | − | 0.980509i | \(-0.562949\pi\) |
0.993233 | − | 0.116135i | \(-0.0370507\pi\) | |||||||
\(878\) | 17.4018 | − | 5.65418i | 0.587281 | − | 0.190819i | ||||
\(879\) | 21.6433 | − | 51.1665i | 0.730011 | − | 1.72580i | ||||
\(880\) | 0.237181 | + | 2.07741i | 0.00799536 | + | 0.0700295i | ||||
\(881\) | 14.2236i | 0.479206i | 0.970871 | + | 0.239603i | \(0.0770173\pi\) | ||||
−0.970871 | + | 0.239603i | \(0.922983\pi\) | |||||||
\(882\) | 1.40178 | − | 2.65236i | 0.0472003 | − | 0.0893097i | ||||
\(883\) | 45.5057 | + | 33.0618i | 1.53139 | + | 1.11262i | 0.955460 | + | 0.295121i | \(0.0953598\pi\) |
0.575930 | + | 0.817499i | \(0.304640\pi\) | |||||||
\(884\) | −8.22836 | − | 11.3254i | −0.276750 | − | 0.380913i | ||||
\(885\) | 5.65876 | + | 4.90666i | 0.190217 | + | 0.164935i | ||||
\(886\) | −17.8679 | − | 5.80562i | −0.600283 | − | 0.195044i | ||||
\(887\) | 3.15838 | − | 2.29469i | 0.106048 | − | 0.0770483i | −0.533497 | − | 0.845802i | \(-0.679123\pi\) |
0.639545 | + | 0.768753i | \(0.279123\pi\) | |||||||
\(888\) | 2.29212 | − | 1.38116i | 0.0769186 | − | 0.0463486i | ||||
\(889\) | −2.86534 | − | 8.81861i | −0.0961004 | − | 0.295767i | ||||
\(890\) | −7.12528 | −0.238840 | ||||||||
\(891\) | 29.0610 | + | 6.81604i | 0.973580 | + | 0.228346i | ||||
\(892\) | 8.02305 | 0.268632 | ||||||||
\(893\) | 0.871606 | + | 2.68253i | 0.0291672 | + | 0.0897674i | ||||
\(894\) | 19.2171 | − | 11.5796i | 0.642717 | − | 0.387279i | ||||
\(895\) | 6.47589 | − | 4.70501i | 0.216465 | − | 0.157271i | ||||
\(896\) | −0.951057 | − | 0.309017i | −0.0317726 | − | 0.0103235i | ||||
\(897\) | −27.8553 | − | 24.1531i | −0.930062 | − | 0.806449i | ||||
\(898\) | −2.91041 | − | 4.00584i | −0.0971218 | − | 0.133677i | ||||
\(899\) | −6.74002 | − | 4.89691i | −0.224792 | − | 0.163321i | ||||
\(900\) | 6.45176 | − | 12.2076i | 0.215059 | − | 0.406921i | ||||
\(901\) | − | 16.3455i | − | 0.544549i | ||||||
\(902\) | 5.42302 | + | 11.8924i | 0.180567 | + | 0.395973i | ||||
\(903\) | −2.11956 | + | 5.01080i | −0.0705345 | + | 0.166749i | ||||
\(904\) | −15.2449 | + | 4.95338i | −0.507039 | + | 0.164747i | ||||
\(905\) | 9.32915 | − | 12.8405i | 0.310111 | − | 0.426832i | ||||
\(906\) | −24.6506 | + | 5.72355i | −0.818961 | + | 0.190152i | ||||
\(907\) | 3.13807 | − | 9.65798i | 0.104198 | − | 0.320688i | −0.885344 | − | 0.464937i | \(-0.846077\pi\) |
0.989541 | + | 0.144250i | \(0.0460768\pi\) | |||||||
\(908\) | −0.228344 | + | 0.702771i | −0.00757786 | + | 0.0233223i | ||||
\(909\) | 34.1455 | + | 5.93265i | 1.13253 | + | 0.196773i | ||||
\(910\) | −0.939965 | + | 1.29375i | −0.0311595 | + | 0.0428874i | ||||
\(911\) | 34.4652 | − | 11.1984i | 1.14188 | − | 0.371020i | 0.323803 | − | 0.946124i | \(-0.395038\pi\) |
0.818080 | + | 0.575104i | \(0.195038\pi\) | |||||||
\(912\) | −2.12478 | − | 0.898778i | −0.0703585 | − | 0.0297615i | ||||
\(913\) | 15.8666 | + | 34.7947i | 0.525109 | + | 1.15154i | ||||
\(914\) | − | 14.4066i | − | 0.476527i | ||||||
\(915\) | −13.1409 | − | 1.13311i | −0.434426 | − | 0.0374593i | ||||
\(916\) | −5.02482 | − | 3.65075i | −0.166025 | − | 0.120624i | ||||
\(917\) | −3.77174 | − | 5.19136i | −0.124554 | − | 0.171434i | ||||
\(918\) | 1.60835 | + | 28.6311i | 0.0530835 | + | 0.944966i | ||||
\(919\) | −23.8053 | − | 7.73482i | −0.785265 | − | 0.255148i | −0.111179 | − | 0.993800i | \(-0.535463\pi\) |
−0.674087 | + | 0.738652i | \(0.735463\pi\) | |||||||
\(920\) | −4.27993 | + | 3.10955i | −0.141105 | + | 0.102519i | ||||
\(921\) | 5.19805 | + | 8.62653i | 0.171282 | + | 0.284254i | ||||
\(922\) | −4.86230 | − | 14.9646i | −0.160131 | − | 0.492834i | ||||
\(923\) | −37.0250 | −1.21869 | ||||||||
\(924\) | 3.24672 | − | 4.73907i | 0.106809 | − | 0.155904i | ||||
\(925\) | 7.11112 | 0.233812 | ||||||||
\(926\) | −12.1953 | − | 37.5333i | −0.400762 | − | 1.23342i | ||||
\(927\) | 1.78974 | + | 12.5073i | 0.0587827 | + | 0.410794i | ||||
\(928\) | 0.707415 | − | 0.513967i | 0.0232220 | − | 0.0168718i | ||||
\(929\) | −12.0350 | − | 3.91040i | −0.394855 | − | 0.128296i | 0.104858 | − | 0.994487i | \(-0.466561\pi\) |
−0.499713 | + | 0.866191i | \(0.666561\pi\) | |||||||
\(930\) | −6.81556 | + | 7.86026i | −0.223491 | + | 0.257748i | ||||
\(931\) | −0.782917 | − | 1.07759i | −0.0256591 | − | 0.0353167i | ||||
\(932\) | −17.0069 | − | 12.3563i | −0.557081 | − | 0.404743i | ||||
\(933\) | −2.49672 | + | 28.9552i | −0.0817390 | + | 0.947950i | ||||
\(934\) | 16.9894i | 0.555911i | ||||||||
\(935\) | −1.30894 | − | 11.4647i | −0.0428069 | − | 0.374935i | ||||
\(936\) | 5.46081 | − | 5.29994i | 0.178492 | − | 0.173234i | ||||
\(937\) | −27.2419 | + | 8.85143i | −0.889954 | + | 0.289164i | −0.718084 | − | 0.695956i | \(-0.754981\pi\) |
−0.171870 | + | 0.985120i | \(0.554981\pi\) | |||||||
\(938\) | −1.18689 | + | 1.63361i | −0.0387533 | + | 0.0533393i | ||||
\(939\) | −7.84249 | − | 33.7765i | −0.255930 | − | 1.10226i | ||||
\(940\) | −0.412536 | + | 1.26965i | −0.0134554 | + | 0.0414115i | ||||
\(941\) | −4.97507 | + | 15.3117i | −0.162183 | + | 0.499147i | −0.998818 | − | 0.0486139i | \(-0.984520\pi\) |
0.836635 | + | 0.547761i | \(0.184520\pi\) | |||||||
\(942\) | 4.89404 | + | 21.0780i | 0.159456 | + | 0.686757i | ||||
\(943\) | −19.4382 | + | 26.7544i | −0.632994 | + | 0.871242i | ||||
\(944\) | −6.52344 | + | 2.11959i | −0.212320 | + | 0.0689869i | ||||
\(945\) | 3.05381 | − | 1.18543i | 0.0993404 | − | 0.0385620i | ||||
\(946\) | −5.12798 | + | 9.06860i | −0.166725 | + | 0.294846i | ||||
\(947\) | 23.3650i | 0.759259i | 0.925139 | + | 0.379630i | \(0.123949\pi\) | ||||
−0.925139 | + | 0.379630i | \(0.876051\pi\) | |||||||
\(948\) | −1.46375 | + | 16.9755i | −0.0475403 | + | 0.551338i | ||||
\(949\) | 5.80150 | + | 4.21504i | 0.188325 | + | 0.136826i | ||||
\(950\) | −3.60342 | − | 4.95968i | −0.116910 | − | 0.160913i | ||||
\(951\) | 17.9965 | − | 20.7551i | 0.583578 | − | 0.673029i | ||||
\(952\) | 5.24863 | + | 1.70538i | 0.170109 | + | 0.0552718i | ||||
\(953\) | 9.63244 | − | 6.99838i | 0.312025 | − | 0.226700i | −0.420740 | − | 0.907181i | \(-0.638229\pi\) |
0.732765 | + | 0.680482i | \(0.238229\pi\) | |||||||
\(954\) | 8.79588 | − | 1.25865i | 0.284777 | − | 0.0407503i | ||||
\(955\) | −4.24517 | − | 13.0653i | −0.137370 | − | 0.422783i | ||||
\(956\) | −9.97252 | −0.322534 | ||||||||
\(957\) | 1.68378 | + | 4.73251i | 0.0544289 | + | 0.152980i | ||||
\(958\) | −23.6178 | −0.763056 | ||||||||
\(959\) | 0.210575 | + | 0.648083i | 0.00679981 | + | 0.0209277i | ||||
\(960\) | −0.563562 | − | 0.935270i | −0.0181889 | − | 0.0301857i | ||||
\(961\) | −48.3602 | + | 35.1357i | −1.56001 | + | 1.13341i | ||||
\(962\) | 3.72735 | + | 1.21109i | 0.120175 | + | 0.0390471i | ||||
\(963\) | 35.8193 | − | 17.5814i | 1.15426 | − | 0.566553i | ||||
\(964\) | −9.36826 | − | 12.8943i | −0.301731 | − | 0.415298i | ||||
\(965\) | 9.57359 | + | 6.95562i | 0.308185 | + | 0.223909i | ||||
\(966\) | 14.4808 | + | 1.24864i | 0.465912 | + | 0.0401743i | ||||
\(967\) | − | 45.8950i | − | 1.47588i | −0.674865 | − | 0.737941i | \(-0.735798\pi\) | ||
0.674865 | − | 0.737941i | \(-0.264202\pi\) | |||||||
\(968\) | 7.21278 | − | 8.30516i | 0.231828 | − | 0.266938i | ||||
\(969\) | 11.7261 | + | 4.96012i | 0.376697 | + | 0.159342i | ||||
\(970\) | 3.85707 | − | 1.25324i | 0.123843 | − | 0.0402390i | ||||
\(971\) | −20.1910 | + | 27.7905i | −0.647959 | + | 0.891839i | −0.999009 | − | 0.0445181i | \(-0.985825\pi\) |
0.351050 | + | 0.936357i | \(0.385825\pi\) | |||||||
\(972\) | −15.2831 | + | 3.07015i | −0.490207 | + | 0.0984752i | ||||
\(973\) | −4.09957 | + | 12.6172i | −0.131426 | + | 0.404488i | ||||
\(974\) | −6.94886 | + | 21.3864i | −0.222656 | + | 0.685264i | ||||
\(975\) | 19.6976 | − | 4.57353i | 0.630827 | − | 0.146470i | ||||
\(976\) | 7.09995 | − | 9.77224i | 0.227264 | − | 0.312802i | ||||
\(977\) | −32.4211 | + | 10.5342i | −1.03724 | + | 0.337020i | −0.777649 | − | 0.628698i | \(-0.783588\pi\) |
−0.259592 | + | 0.965718i | \(0.583588\pi\) | |||||||
\(978\) | 0.990086 | − | 2.34064i | 0.0316595 | − | 0.0748454i | ||||
\(979\) | 25.3311 | + | 27.6311i | 0.809585 | + | 0.883095i | ||||
\(980\) | − | 0.630432i | − | 0.0201384i | ||||||
\(981\) | −49.6898 | − | 26.2612i | −1.58647 | − | 0.838454i | ||||
\(982\) | −11.7331 | − | 8.52463i | −0.374420 | − | 0.272032i | ||||
\(983\) | −7.30892 | − | 10.0599i | −0.233118 | − | 0.320860i | 0.676392 | − | 0.736542i | \(-0.263543\pi\) |
−0.909510 | + | 0.415683i | \(0.863543\pi\) | |||||||
\(984\) | −5.15714 | − | 4.47171i | −0.164404 | − | 0.142553i | ||||
\(985\) | −6.06975 | − | 1.97218i | −0.193398 | − | 0.0628389i | ||||
\(986\) | −3.90404 | + | 2.83645i | −0.124330 | + | 0.0903310i | ||||
\(987\) | 3.14152 | − | 1.89297i | 0.0999957 | − | 0.0602540i | ||||
\(988\) | −1.04408 | − | 3.21335i | −0.0332166 | − | 0.102230i | ||||
\(989\) | −26.3591 | −0.838171 | ||||||||
\(990\) | 6.06859 | − | 1.58718i | 0.192873 | − | 0.0504438i | ||||
\(991\) | −62.8993 | −1.99806 | −0.999031 | − | 0.0440157i | \(-0.985985\pi\) | ||||
−0.999031 | + | 0.0440157i | \(0.985985\pi\) | |||||||
\(992\) | −2.94421 | − | 9.06135i | −0.0934788 | − | 0.287698i | ||||
\(993\) | 35.5184 | − | 21.4022i | 1.12714 | − | 0.679178i | ||||
\(994\) | 11.8086 | − | 8.57944i | 0.374546 | − | 0.272123i | ||||
\(995\) | 13.9809 | + | 4.54267i | 0.443224 | + | 0.144012i | ||||
\(996\) | −15.0887 | − | 13.0833i | −0.478104 | − | 0.414560i | ||||
\(997\) | −25.3494 | − | 34.8904i | −0.802823 | − | 1.10499i | −0.992391 | − | 0.123123i | \(-0.960709\pi\) |
0.189569 | − | 0.981867i | \(-0.439291\pi\) | |||||||
\(998\) | 28.8722 | + | 20.9769i | 0.913933 | + | 0.664011i | ||||
\(999\) | −5.07574 | − | 6.22010i | −0.160589 | − | 0.196795i |
(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 | 462.2.w.b.281.2 | yes | 48 | |
3.2 | odd | 2 | 462.2.w.a.281.8 | ✓ | 48 | ||
11.2 | odd | 10 | 462.2.w.a.365.8 | yes | 48 | ||
33.2 | even | 10 | inner | 462.2.w.b.365.2 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.281.8 | ✓ | 48 | 3.2 | odd | 2 | ||
462.2.w.a.365.8 | yes | 48 | 11.2 | odd | 10 | ||
462.2.w.b.281.2 | yes | 48 | 1.1 | even | 1 | trivial | |
462.2.w.b.365.2 | yes | 48 | 33.2 | even | 10 | inner |