Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(118,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.h (of order \(3\), degree \(2\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 222.1 | ||
Character | \(\chi\) | \(=\) | 403.222 |
Dual form | 403.2.h.a.118.1 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.75405 | −1.94741 | −0.973703 | − | 0.227820i | \(-0.926840\pi\) | ||||
−0.973703 | + | 0.227820i | \(0.926840\pi\) | |||||||
\(3\) | 1.04794 | − | 1.81508i | 0.605026 | − | 1.04794i | −0.387022 | − | 0.922071i | \(-0.626496\pi\) |
0.992047 | − | 0.125865i | \(-0.0401705\pi\) | |||||||
\(4\) | 5.58479 | 2.79239 | ||||||||
\(5\) | 1.03612 | + | 1.79462i | 0.463368 | + | 0.802577i | 0.999126 | − | 0.0417943i | \(-0.0133074\pi\) |
−0.535758 | + | 0.844372i | \(0.679974\pi\) | |||||||
\(6\) | −2.88606 | + | 4.99881i | −1.17823 | + | 2.04076i | ||||
\(7\) | 2.05805 | − | 3.56464i | 0.777868 | − | 1.34731i | −0.155300 | − | 0.987867i | \(-0.549634\pi\) |
0.933168 | − | 0.359440i | \(-0.117032\pi\) | |||||||
\(8\) | −9.87267 | −3.49052 | ||||||||
\(9\) | −0.696336 | − | 1.20609i | −0.232112 | − | 0.402030i | ||||
\(10\) | −2.85353 | − | 4.94246i | −0.902366 | − | 1.56294i | ||||
\(11\) | −2.89835 | − | 5.02008i | −0.873884 | − | 1.51361i | −0.857947 | − | 0.513739i | \(-0.828260\pi\) |
−0.0159376 | − | 0.999873i | \(-0.505073\pi\) | |||||||
\(12\) | 5.85249 | − | 10.1368i | 1.68947 | − | 2.92625i | ||||
\(13\) | 0.500000 | + | 0.866025i | 0.138675 | + | 0.240192i | ||||
\(14\) | −5.66796 | + | 9.81719i | −1.51483 | + | 2.62376i | ||||
\(15\) | 4.34316 | 1.12140 | ||||||||
\(16\) | 16.0203 | 4.00506 | ||||||||
\(17\) | 0.558338 | − | 0.967070i | 0.135417 | − | 0.234549i | −0.790340 | − | 0.612669i | \(-0.790096\pi\) |
0.925757 | + | 0.378120i | \(0.123429\pi\) | |||||||
\(18\) | 1.91774 | + | 3.32163i | 0.452016 | + | 0.782915i | ||||
\(19\) | −1.17562 | + | 2.03624i | −0.269706 | + | 0.467145i | −0.968786 | − | 0.247899i | \(-0.920260\pi\) |
0.699080 | + | 0.715044i | \(0.253593\pi\) | |||||||
\(20\) | 5.78652 | + | 10.0226i | 1.29391 | + | 2.24111i | ||||
\(21\) | −4.31340 | − | 7.47102i | −0.941261 | − | 1.63031i | ||||
\(22\) | 7.98219 | + | 13.8256i | 1.70181 | + | 2.94762i | ||||
\(23\) | 1.07915 | 0.225019 | 0.112510 | − | 0.993651i | \(-0.464111\pi\) | ||||
0.112510 | + | 0.993651i | \(0.464111\pi\) | |||||||
\(24\) | −10.3459 | + | 17.9197i | −2.11185 | + | 3.65784i | ||||
\(25\) | 0.352899 | − | 0.611239i | 0.0705798 | − | 0.122248i | ||||
\(26\) | −1.37702 | − | 2.38508i | −0.270057 | − | 0.467752i | ||||
\(27\) | 3.36875 | 0.648317 | ||||||||
\(28\) | 11.4937 | − | 19.9078i | 2.17211 | − | 3.76221i | ||||
\(29\) | −1.28942 | −0.239439 | −0.119720 | − | 0.992808i | \(-0.538200\pi\) | ||||
−0.119720 | + | 0.992808i | \(0.538200\pi\) | |||||||
\(30\) | −11.9613 | −2.18382 | ||||||||
\(31\) | −3.68732 | + | 4.17177i | −0.662263 | + | 0.749272i | ||||
\(32\) | −24.3752 | −4.30897 | ||||||||
\(33\) | −12.1491 | −2.11489 | ||||||||
\(34\) | −1.53769 | + | 2.66336i | −0.263712 | + | 0.456762i | ||||
\(35\) | 8.52955 | 1.44176 | ||||||||
\(36\) | −3.88889 | − | 6.73575i | −0.648148 | − | 1.12262i | ||||
\(37\) | 1.12141 | − | 1.94234i | 0.184359 | − | 0.319319i | −0.759002 | − | 0.651089i | \(-0.774313\pi\) |
0.943360 | + | 0.331770i | \(0.107646\pi\) | |||||||
\(38\) | 3.23772 | − | 5.60790i | 0.525228 | − | 0.909721i | ||||
\(39\) | 2.09587 | 0.335608 | ||||||||
\(40\) | −10.2293 | − | 17.7177i | −1.61739 | − | 2.80141i | ||||
\(41\) | −1.14144 | − | 1.97703i | −0.178263 | − | 0.308761i | 0.763023 | − | 0.646372i | \(-0.223714\pi\) |
−0.941286 | + | 0.337611i | \(0.890381\pi\) | |||||||
\(42\) | 11.8793 | + | 20.5756i | 1.83302 | + | 3.17488i | ||||
\(43\) | 1.75743 | − | 3.04395i | 0.268005 | − | 0.464198i | −0.700342 | − | 0.713808i | \(-0.746969\pi\) |
0.968347 | + | 0.249610i | \(0.0803023\pi\) | |||||||
\(44\) | −16.1866 | − | 28.0361i | −2.44023 | − | 4.22660i | ||||
\(45\) | 1.44298 | − | 2.49931i | 0.215107 | − | 0.372575i | ||||
\(46\) | −2.97204 | −0.438204 | ||||||||
\(47\) | 9.81990 | 1.43238 | 0.716190 | − | 0.697906i | \(-0.245885\pi\) | ||||
0.716190 | + | 0.697906i | \(0.245885\pi\) | |||||||
\(48\) | 16.7882 | − | 29.0780i | 2.42317 | − | 4.19705i | ||||
\(49\) | −4.97111 | − | 8.61021i | −0.710158 | − | 1.23003i | ||||
\(50\) | −0.971902 | + | 1.68338i | −0.137448 | + | 0.238066i | ||||
\(51\) | −1.17020 | − | 2.02685i | −0.163861 | − | 0.283816i | ||||
\(52\) | 2.79239 | + | 4.83657i | 0.387235 | + | 0.670711i | ||||
\(53\) | 0.394310 | + | 0.682964i | 0.0541626 | + | 0.0938124i | 0.891835 | − | 0.452360i | \(-0.149418\pi\) |
−0.837673 | + | 0.546172i | \(0.816084\pi\) | |||||||
\(54\) | −9.27771 | −1.26254 | ||||||||
\(55\) | 6.00608 | − | 10.4028i | 0.809860 | − | 1.40272i | ||||
\(56\) | −20.3184 | + | 35.1925i | −2.71516 | + | 4.70280i | ||||
\(57\) | 2.46395 | + | 4.26769i | 0.326358 | + | 0.565269i | ||||
\(58\) | 3.55113 | 0.466286 | ||||||||
\(59\) | 0.600735 | − | 1.04050i | 0.0782090 | − | 0.135462i | −0.824268 | − | 0.566199i | \(-0.808413\pi\) |
0.902477 | + | 0.430738i | \(0.141747\pi\) | |||||||
\(60\) | 24.2556 | 3.13138 | ||||||||
\(61\) | −14.8169 | −1.89710 | −0.948552 | − | 0.316622i | \(-0.897451\pi\) | ||||
−0.948552 | + | 0.316622i | \(0.897451\pi\) | |||||||
\(62\) | 10.1551 | − | 11.4893i | 1.28970 | − | 1.45914i | ||||
\(63\) | −5.73236 | −0.722210 | ||||||||
\(64\) | 35.0900 | 4.38625 | ||||||||
\(65\) | −1.03612 | + | 1.79462i | −0.128515 | + | 0.222595i | ||||
\(66\) | 33.4593 | 4.11855 | ||||||||
\(67\) | −3.85317 | − | 6.67389i | −0.470740 | − | 0.815346i | 0.528700 | − | 0.848809i | \(-0.322680\pi\) |
−0.999440 | + | 0.0334631i | \(0.989346\pi\) | |||||||
\(68\) | 3.11820 | − | 5.40088i | 0.378137 | − | 0.654953i | ||||
\(69\) | 1.13088 | − | 1.95875i | 0.136142 | − | 0.235806i | ||||
\(70\) | −23.4908 | −2.80769 | ||||||||
\(71\) | 6.95281 | + | 12.0426i | 0.825147 | + | 1.42920i | 0.901807 | + | 0.432139i | \(0.142241\pi\) |
−0.0766597 | + | 0.997057i | \(0.524426\pi\) | |||||||
\(72\) | 6.87470 | + | 11.9073i | 0.810191 | + | 1.40329i | ||||
\(73\) | 0.390898 | + | 0.677056i | 0.0457512 | + | 0.0792434i | 0.887994 | − | 0.459855i | \(-0.152099\pi\) |
−0.842243 | + | 0.539098i | \(0.818765\pi\) | |||||||
\(74\) | −3.08842 | + | 5.34930i | −0.359021 | + | 0.621843i | ||||
\(75\) | −0.739631 | − | 1.28108i | −0.0854052 | − | 0.147926i | ||||
\(76\) | −6.56560 | + | 11.3720i | −0.753126 | + | 1.30445i | ||||
\(77\) | −23.8597 | −2.71907 | ||||||||
\(78\) | −5.77213 | −0.653565 | ||||||||
\(79\) | −0.613563 | + | 1.06272i | −0.0690312 | + | 0.119566i | −0.898475 | − | 0.439024i | \(-0.855324\pi\) |
0.829444 | + | 0.558590i | \(0.188657\pi\) | |||||||
\(80\) | 16.5990 | + | 28.7502i | 1.85582 | + | 3.21437i | ||||
\(81\) | 5.61924 | − | 9.73281i | 0.624360 | − | 1.08142i | ||||
\(82\) | 3.14358 | + | 5.44484i | 0.347150 | + | 0.601282i | ||||
\(83\) | 1.22711 | + | 2.12541i | 0.134692 | + | 0.233294i | 0.925480 | − | 0.378797i | \(-0.123662\pi\) |
−0.790787 | + | 0.612091i | \(0.790329\pi\) | |||||||
\(84\) | −24.0894 | − | 41.7241i | −2.62837 | − | 4.55247i | ||||
\(85\) | 2.31403 | 0.250991 | ||||||||
\(86\) | −4.84004 | + | 8.38319i | −0.521915 | + | 0.903983i | ||||
\(87\) | −1.35123 | + | 2.34040i | −0.144867 | + | 0.250917i | ||||
\(88\) | 28.6144 | + | 49.5616i | 3.05031 | + | 5.28329i | ||||
\(89\) | −17.3100 | −1.83485 | −0.917427 | − | 0.397903i | \(-0.869738\pi\) | ||||
−0.917427 | + | 0.397903i | \(0.869738\pi\) | |||||||
\(90\) | −3.97403 | + | 6.88323i | −0.418900 | + | 0.725556i | ||||
\(91\) | 4.11609 | 0.431484 | ||||||||
\(92\) | 6.02685 | 0.628342 | ||||||||
\(93\) | 3.70800 | + | 11.0645i | 0.384502 | + | 1.14734i | ||||
\(94\) | −27.0445 | −2.78942 | ||||||||
\(95\) | −4.87236 | −0.499893 | ||||||||
\(96\) | −25.5436 | + | 44.2429i | −2.60704 | + | 4.51552i | ||||
\(97\) | 1.70614 | 0.173233 | 0.0866163 | − | 0.996242i | \(-0.472395\pi\) | ||||
0.0866163 | + | 0.996242i | \(0.472395\pi\) | |||||||
\(98\) | 13.6907 | + | 23.7129i | 1.38297 | + | 2.39537i | ||||
\(99\) | −4.03644 | + | 6.99133i | −0.405678 | + | 0.702655i | ||||
\(100\) | 1.97087 | − | 3.41364i | 0.197087 | − | 0.341364i | ||||
\(101\) | 10.4932 | 1.04411 | 0.522055 | − | 0.852912i | \(-0.325166\pi\) | ||||
0.522055 | + | 0.852912i | \(0.325166\pi\) | |||||||
\(102\) | 3.22280 | + | 5.58205i | 0.319105 | + | 0.552705i | ||||
\(103\) | 2.33045 | + | 4.03646i | 0.229626 | + | 0.397724i | 0.957697 | − | 0.287778i | \(-0.0929164\pi\) |
−0.728071 | + | 0.685501i | \(0.759583\pi\) | |||||||
\(104\) | −4.93634 | − | 8.54999i | −0.484048 | − | 0.838395i | ||||
\(105\) | 8.93842 | − | 15.4818i | 0.872300 | − | 1.51087i | ||||
\(106\) | −1.08595 | − | 1.88092i | −0.105477 | − | 0.182691i | ||||
\(107\) | 9.27609 | − | 16.0667i | 0.896753 | − | 1.55322i | 0.0651337 | − | 0.997877i | \(-0.479253\pi\) |
0.831620 | − | 0.555346i | \(-0.187414\pi\) | |||||||
\(108\) | 18.8138 | 1.81035 | ||||||||
\(109\) | 14.0939 | 1.34995 | 0.674973 | − | 0.737842i | \(-0.264155\pi\) | ||||
0.674973 | + | 0.737842i | \(0.264155\pi\) | |||||||
\(110\) | −16.5411 | + | 28.6499i | −1.57713 | + | 2.73166i | ||||
\(111\) | −2.35033 | − | 4.07089i | −0.223083 | − | 0.386392i | ||||
\(112\) | 32.9704 | − | 57.1065i | 3.11541 | − | 5.39605i | ||||
\(113\) | 7.04820 | + | 12.2078i | 0.663039 | + | 1.14842i | 0.979813 | + | 0.199916i | \(0.0640668\pi\) |
−0.316775 | + | 0.948501i | \(0.602600\pi\) | |||||||
\(114\) | −6.78584 | − | 11.7534i | −0.635553 | − | 1.10081i | ||||
\(115\) | 1.11814 | + | 1.93667i | 0.104267 | + | 0.180595i | ||||
\(116\) | −7.20114 | −0.668609 | ||||||||
\(117\) | 0.696336 | − | 1.20609i | 0.0643763 | − | 0.111503i | ||||
\(118\) | −1.65445 | + | 2.86560i | −0.152305 | + | 0.263800i | ||||
\(119\) | −2.29817 | − | 3.98055i | −0.210673 | − | 0.364896i | ||||
\(120\) | −42.8786 | −3.91426 | ||||||||
\(121\) | −11.3008 | + | 19.5736i | −1.02735 | + | 1.77942i | ||||
\(122\) | 40.8063 | 3.69443 | ||||||||
\(123\) | −4.78462 | −0.431415 | ||||||||
\(124\) | −20.5929 | + | 23.2984i | −1.84930 | + | 2.09226i | ||||
\(125\) | 11.8238 | 1.05755 | ||||||||
\(126\) | 15.7872 | 1.40644 | ||||||||
\(127\) | −7.46945 | + | 12.9375i | −0.662806 | + | 1.14801i | 0.317069 | + | 0.948403i | \(0.397301\pi\) |
−0.979875 | + | 0.199612i | \(0.936032\pi\) | |||||||
\(128\) | −47.8892 | −4.23285 | ||||||||
\(129\) | −3.68334 | − | 6.37973i | −0.324300 | − | 0.561704i | ||||
\(130\) | 2.85353 | − | 4.94246i | 0.250271 | − | 0.433483i | ||||
\(131\) | −2.83417 | + | 4.90892i | −0.247622 | + | 0.428895i | −0.962866 | − | 0.269981i | \(-0.912983\pi\) |
0.715243 | + | 0.698876i | \(0.246316\pi\) | |||||||
\(132\) | −67.8502 | −5.90560 | ||||||||
\(133\) | 4.83897 | + | 8.38134i | 0.419592 | + | 0.726755i | ||||
\(134\) | 10.6118 | + | 18.3802i | 0.916722 | + | 1.58781i | ||||
\(135\) | 3.49044 | + | 6.04562i | 0.300409 | + | 0.520324i | ||||
\(136\) | −5.51229 | + | 9.54757i | −0.472675 | + | 0.818697i | ||||
\(137\) | 1.35879 | + | 2.35350i | 0.116089 | + | 0.201073i | 0.918215 | − | 0.396083i | \(-0.129631\pi\) |
−0.802125 | + | 0.597156i | \(0.796297\pi\) | |||||||
\(138\) | −3.11451 | + | 5.39449i | −0.265125 | + | 0.459209i | ||||
\(139\) | −2.02589 | −0.171834 | −0.0859168 | − | 0.996302i | \(-0.527382\pi\) | ||||
−0.0859168 | + | 0.996302i | \(0.527382\pi\) | |||||||
\(140\) | 47.6357 | 4.02595 | ||||||||
\(141\) | 10.2906 | − | 17.8239i | 0.866626 | − | 1.50104i | ||||
\(142\) | −19.1484 | − | 33.1660i | −1.60690 | − | 2.78323i | ||||
\(143\) | 2.89835 | − | 5.02008i | 0.242372 | − | 0.419800i | ||||
\(144\) | −11.1555 | − | 19.3219i | −0.929623 | − | 1.61015i | ||||
\(145\) | −1.33600 | − | 2.31402i | −0.110949 | − | 0.192169i | ||||
\(146\) | −1.07655 | − | 1.86465i | −0.0890962 | − | 0.154319i | ||||
\(147\) | −20.8376 | −1.71866 | ||||||||
\(148\) | 6.26283 | − | 10.8475i | 0.514802 | − | 0.891663i | ||||
\(149\) | 5.04899 | − | 8.74511i | 0.413630 | − | 0.716427i | −0.581654 | − | 0.813436i | \(-0.697594\pi\) |
0.995284 | + | 0.0970089i | \(0.0309275\pi\) | |||||||
\(150\) | 2.03698 | + | 3.52815i | 0.166319 | + | 0.288072i | ||||
\(151\) | 19.3862 | 1.57762 | 0.788812 | − | 0.614634i | \(-0.210696\pi\) | ||||
0.788812 | + | 0.614634i | \(0.210696\pi\) | |||||||
\(152\) | 11.6065 | − | 20.1031i | 0.941415 | − | 1.63058i | ||||
\(153\) | −1.55516 | −0.125727 | ||||||||
\(154\) | 65.7108 | 5.29513 | ||||||||
\(155\) | −11.3072 | − | 2.29487i | −0.908220 | − | 0.184329i | ||||
\(156\) | 11.7050 | 0.937149 | ||||||||
\(157\) | −12.3098 | −0.982432 | −0.491216 | − | 0.871038i | \(-0.663447\pi\) | ||||
−0.491216 | + | 0.871038i | \(0.663447\pi\) | |||||||
\(158\) | 1.68978 | − | 2.92679i | 0.134432 | − | 0.232843i | ||||
\(159\) | 1.65284 | 0.131079 | ||||||||
\(160\) | −25.2557 | − | 43.7442i | −1.99664 | − | 3.45828i | ||||
\(161\) | 2.22095 | − | 3.84680i | 0.175035 | − | 0.303170i | ||||
\(162\) | −15.4757 | + | 26.8046i | −1.21588 | + | 2.10597i | ||||
\(163\) | 17.4732 | 1.36861 | 0.684304 | − | 0.729197i | \(-0.260106\pi\) | ||||
0.684304 | + | 0.729197i | \(0.260106\pi\) | |||||||
\(164\) | −6.37470 | − | 11.0413i | −0.497780 | − | 0.862181i | ||||
\(165\) | −12.5880 | − | 21.8030i | −0.979972 | − | 1.69736i | ||||
\(166\) | −3.37951 | − | 5.85349i | −0.262301 | − | 0.454319i | ||||
\(167\) | −0.0455449 | + | 0.0788861i | −0.00352437 | + | 0.00610439i | −0.867782 | − | 0.496945i | \(-0.834455\pi\) |
0.864258 | + | 0.503049i | \(0.167789\pi\) | |||||||
\(168\) | 42.5848 | + | 73.7590i | 3.28549 | + | 5.69063i | ||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | −6.37294 | −0.488782 | ||||||||
\(171\) | 3.27451 | 0.250408 | ||||||||
\(172\) | 9.81485 | − | 16.9998i | 0.748375 | − | 1.29622i | ||||
\(173\) | −4.01072 | − | 6.94676i | −0.304929 | − | 0.528153i | 0.672317 | − | 0.740264i | \(-0.265299\pi\) |
−0.977246 | + | 0.212111i | \(0.931966\pi\) | |||||||
\(174\) | 3.72135 | − | 6.44557i | 0.282115 | − | 0.488637i | ||||
\(175\) | −1.45257 | − | 2.51592i | −0.109804 | − | 0.190185i | ||||
\(176\) | −46.4322 | − | 80.4230i | −3.49996 | − | 6.06211i | ||||
\(177\) | −1.25906 | − | 2.18076i | −0.0946369 | − | 0.163916i | ||||
\(178\) | 47.6725 | 3.57321 | ||||||||
\(179\) | −6.64920 | + | 11.5168i | −0.496985 | + | 0.860803i | −0.999994 | − | 0.00347806i | \(-0.998893\pi\) |
0.503009 | + | 0.864281i | \(0.332226\pi\) | |||||||
\(180\) | 8.05873 | − | 13.9581i | 0.600662 | − | 1.04038i | ||||
\(181\) | 10.7606 | + | 18.6379i | 0.799830 | + | 1.38535i | 0.919727 | + | 0.392560i | \(0.128410\pi\) |
−0.119897 | + | 0.992786i | \(0.538256\pi\) | |||||||
\(182\) | −11.3359 | −0.840274 | ||||||||
\(183\) | −15.5271 | + | 26.8937i | −1.14780 | + | 1.98804i | ||||
\(184\) | −10.6541 | −0.785434 | ||||||||
\(185\) | 4.64767 | 0.341704 | ||||||||
\(186\) | −10.2120 | − | 30.4722i | −0.748782 | − | 2.23433i | ||||
\(187\) | −6.47303 | −0.473355 | ||||||||
\(188\) | 54.8420 | 3.99976 | ||||||||
\(189\) | 6.93305 | − | 12.0084i | 0.504305 | − | 0.873482i | ||||
\(190\) | 13.4187 | 0.973496 | ||||||||
\(191\) | 4.45247 | + | 7.71191i | 0.322170 | + | 0.558014i | 0.980935 | − | 0.194334i | \(-0.0622545\pi\) |
−0.658766 | + | 0.752348i | \(0.728921\pi\) | |||||||
\(192\) | 36.7721 | − | 63.6911i | 2.65380 | − | 4.59651i | ||||
\(193\) | −8.84306 | + | 15.3166i | −0.636538 | + | 1.10252i | 0.349649 | + | 0.936881i | \(0.386301\pi\) |
−0.986187 | + | 0.165635i | \(0.947033\pi\) | |||||||
\(194\) | −4.69880 | −0.337354 | ||||||||
\(195\) | 2.17158 | + | 3.76128i | 0.155510 | + | 0.269351i | ||||
\(196\) | −27.7626 | − | 48.0862i | −1.98304 | − | 3.43473i | ||||
\(197\) | 3.12237 | + | 5.40811i | 0.222460 | + | 0.385312i | 0.955554 | − | 0.294815i | \(-0.0952580\pi\) |
−0.733094 | + | 0.680127i | \(0.761925\pi\) | |||||||
\(198\) | 11.1166 | − | 19.2545i | 0.790020 | − | 1.36835i | ||||
\(199\) | −6.98550 | − | 12.0992i | −0.495189 | − | 0.857692i | 0.504796 | − | 0.863239i | \(-0.331568\pi\) |
−0.999985 | + | 0.00554643i | \(0.998235\pi\) | |||||||
\(200\) | −3.48406 | + | 6.03457i | −0.246360 | + | 0.426708i | ||||
\(201\) | −16.1515 | −1.13924 | ||||||||
\(202\) | −28.8987 | −2.03331 | ||||||||
\(203\) | −2.65369 | + | 4.59632i | −0.186252 | + | 0.322599i | ||||
\(204\) | −6.53534 | − | 11.3195i | −0.457565 | − | 0.792526i | ||||
\(205\) | 2.36534 | − | 4.09690i | 0.165203 | − | 0.286140i | ||||
\(206\) | −6.41817 | − | 11.1166i | −0.447175 | − | 0.774530i | ||||
\(207\) | −0.751454 | − | 1.30156i | −0.0522297 | − | 0.0904644i | ||||
\(208\) | 8.01013 | + | 13.8739i | 0.555402 | + | 0.961985i | ||||
\(209\) | 13.6294 | 0.942768 | ||||||||
\(210\) | −24.6168 | + | 42.6376i | −1.69872 | + | 2.94228i | ||||
\(211\) | −4.71904 | + | 8.17361i | −0.324872 | + | 0.562694i | −0.981486 | − | 0.191532i | \(-0.938654\pi\) |
0.656615 | + | 0.754226i | \(0.271988\pi\) | |||||||
\(212\) | 2.20213 | + | 3.81421i | 0.151243 | + | 0.261961i | ||||
\(213\) | 29.1444 | 1.99694 | ||||||||
\(214\) | −25.5468 | + | 44.2484i | −1.74634 | + | 3.02476i | ||||
\(215\) | 7.28364 | 0.496740 | ||||||||
\(216\) | −33.2586 | −2.26296 | ||||||||
\(217\) | 7.28217 | + | 21.7297i | 0.494346 | + | 1.47511i | ||||
\(218\) | −38.8152 | −2.62889 | ||||||||
\(219\) | 1.63854 | 0.110723 | ||||||||
\(220\) | 33.5427 | − | 58.0976i | 2.26145 | − | 3.91694i | ||||
\(221\) | 1.11668 | 0.0751158 | ||||||||
\(222\) | 6.47292 | + | 11.2114i | 0.434434 | + | 0.752462i | ||||
\(223\) | −2.74494 | + | 4.75438i | −0.183815 | + | 0.318377i | −0.943177 | − | 0.332292i | \(-0.892178\pi\) |
0.759362 | + | 0.650669i | \(0.225511\pi\) | |||||||
\(224\) | −50.1653 | + | 86.8889i | −3.35181 | + | 5.80551i | ||||
\(225\) | −0.982945 | −0.0655297 | ||||||||
\(226\) | −19.4111 | − | 33.6210i | −1.29121 | − | 2.23643i | ||||
\(227\) | −1.43569 | − | 2.48669i | −0.0952902 | − | 0.165048i | 0.814439 | − | 0.580249i | \(-0.197045\pi\) |
−0.909730 | + | 0.415201i | \(0.863711\pi\) | |||||||
\(228\) | 13.7606 | + | 23.8341i | 0.911321 | + | 1.57845i | ||||
\(229\) | −12.5648 | + | 21.7629i | −0.830306 | + | 1.43813i | 0.0674897 | + | 0.997720i | \(0.478501\pi\) |
−0.897796 | + | 0.440412i | \(0.854832\pi\) | |||||||
\(230\) | −3.07940 | − | 5.33368i | −0.203050 | − | 0.351693i | ||||
\(231\) | −25.0034 | + | 43.3072i | −1.64511 | + | 2.84941i | ||||
\(232\) | 12.7300 | 0.835768 | ||||||||
\(233\) | −22.4053 | −1.46782 | −0.733909 | − | 0.679248i | \(-0.762306\pi\) | ||||
−0.733909 | + | 0.679248i | \(0.762306\pi\) | |||||||
\(234\) | −1.91774 | + | 3.32163i | −0.125367 | + | 0.217142i | ||||
\(235\) | 10.1746 | + | 17.6230i | 0.663719 | + | 1.14959i | ||||
\(236\) | 3.35497 | − | 5.81099i | 0.218390 | − | 0.378263i | ||||
\(237\) | 1.28595 | + | 2.22733i | 0.0835313 | + | 0.144680i | ||||
\(238\) | 6.32928 | + | 10.9626i | 0.410266 | + | 0.710602i | ||||
\(239\) | 8.62992 | + | 14.9475i | 0.558223 | + | 0.966871i | 0.997645 | + | 0.0685903i | \(0.0218501\pi\) |
−0.439422 | + | 0.898281i | \(0.644817\pi\) | |||||||
\(240\) | 69.5785 | 4.49127 | ||||||||
\(241\) | −1.59576 | + | 2.76393i | −0.102792 | + | 0.178040i | −0.912834 | − | 0.408331i | \(-0.866111\pi\) |
0.810042 | + | 0.586372i | \(0.199444\pi\) | |||||||
\(242\) | 31.1230 | − | 53.9066i | 2.00066 | − | 3.46525i | ||||
\(243\) | −6.72407 | − | 11.6464i | −0.431349 | − | 0.747119i | ||||
\(244\) | −82.7489 | −5.29746 | ||||||||
\(245\) | 10.3014 | − | 17.8425i | 0.658130 | − | 1.13991i | ||||
\(246\) | 13.1771 | 0.840140 | ||||||||
\(247\) | −2.35125 | −0.149606 | ||||||||
\(248\) | 36.4037 | − | 41.1865i | 2.31164 | − | 2.61535i | ||||
\(249\) | 5.14371 | 0.325970 | ||||||||
\(250\) | −32.5634 | −2.05949 | ||||||||
\(251\) | 7.35147 | − | 12.7331i | 0.464021 | − | 0.803707i | −0.535136 | − | 0.844766i | \(-0.679740\pi\) |
0.999157 | + | 0.0410585i | \(0.0130730\pi\) | |||||||
\(252\) | −32.0140 | −2.01669 | ||||||||
\(253\) | −3.12776 | − | 5.41744i | −0.196641 | − | 0.340592i | ||||
\(254\) | 20.5712 | − | 35.6304i | 1.29075 | − | 2.23565i | ||||
\(255\) | 2.42495 | − | 4.20014i | 0.151856 | − | 0.263023i | ||||
\(256\) | 61.7092 | 3.85683 | ||||||||
\(257\) | 7.82723 | + | 13.5572i | 0.488249 | + | 0.845672i | 0.999909 | − | 0.0135162i | \(-0.00430247\pi\) |
−0.511660 | + | 0.859188i | \(0.670969\pi\) | |||||||
\(258\) | 10.1441 | + | 17.5701i | 0.631544 | + | 1.09387i | ||||
\(259\) | −4.61583 | − | 7.99485i | −0.286814 | − | 0.496776i | ||||
\(260\) | −5.78652 | + | 10.0226i | −0.358865 | + | 0.621572i | ||||
\(261\) | 0.897870 | + | 1.55516i | 0.0555767 | + | 0.0962618i | ||||
\(262\) | 7.80544 | − | 13.5194i | 0.482222 | − | 0.835232i | ||||
\(263\) | 2.29515 | 0.141525 | 0.0707625 | − | 0.997493i | \(-0.477457\pi\) | ||||
0.0707625 | + | 0.997493i | \(0.477457\pi\) | |||||||
\(264\) | 119.944 | 7.38206 | ||||||||
\(265\) | −0.817107 | + | 1.41527i | −0.0501945 | + | 0.0869393i | ||||
\(266\) | −13.3268 | − | 23.0826i | −0.817116 | − | 1.41529i | ||||
\(267\) | −18.1397 | + | 31.4189i | −1.11013 | + | 1.92281i | ||||
\(268\) | −21.5191 | − | 37.2723i | −1.31449 | − | 2.27677i | ||||
\(269\) | −8.97769 | − | 15.5498i | −0.547379 | − | 0.948089i | −0.998453 | − | 0.0556019i | \(-0.982292\pi\) |
0.451074 | − | 0.892487i | \(-0.351041\pi\) | |||||||
\(270\) | −9.61284 | − | 16.6499i | −0.585019 | − | 1.01328i | ||||
\(271\) | 3.99290 | 0.242551 | 0.121276 | − | 0.992619i | \(-0.461301\pi\) | ||||
0.121276 | + | 0.992619i | \(0.461301\pi\) | |||||||
\(272\) | 8.94472 | − | 15.4927i | 0.542353 | − | 0.939383i | ||||
\(273\) | 4.31340 | − | 7.47102i | 0.261059 | − | 0.452167i | ||||
\(274\) | −3.74218 | − | 6.48164i | −0.226073 | − | 0.391570i | ||||
\(275\) | −4.09130 | −0.246714 | ||||||||
\(276\) | 6.31574 | − | 10.9392i | 0.380163 | − | 0.658462i | ||||
\(277\) | −2.13754 | −0.128433 | −0.0642163 | − | 0.997936i | \(-0.520455\pi\) | ||||
−0.0642163 | + | 0.997936i | \(0.520455\pi\) | |||||||
\(278\) | 5.57940 | 0.334630 | ||||||||
\(279\) | 7.59914 | + | 1.54229i | 0.454948 | + | 0.0923345i | ||||
\(280\) | −84.2095 | −5.03248 | ||||||||
\(281\) | −1.18045 | −0.0704195 | −0.0352098 | − | 0.999380i | \(-0.511210\pi\) | ||||
−0.0352098 | + | 0.999380i | \(0.511210\pi\) | |||||||
\(282\) | −28.3409 | + | 49.0878i | −1.68767 | + | 2.92314i | ||||
\(283\) | 6.66467 | 0.396174 | 0.198087 | − | 0.980184i | \(-0.436527\pi\) | ||||
0.198087 | + | 0.980184i | \(0.436527\pi\) | |||||||
\(284\) | 38.8300 | + | 67.2555i | 2.30413 | + | 3.99088i | ||||
\(285\) | −5.10591 | + | 8.84370i | −0.302448 | + | 0.523856i | ||||
\(286\) | −7.98219 | + | 13.8256i | −0.471997 | + | 0.817522i | ||||
\(287\) | −9.39654 | −0.554661 | ||||||||
\(288\) | 16.9733 | + | 29.3987i | 1.00016 | + | 1.73233i | ||||
\(289\) | 7.87652 | + | 13.6425i | 0.463325 | + | 0.802502i | ||||
\(290\) | 3.67940 | + | 6.37292i | 0.216062 | + | 0.374231i | ||||
\(291\) | 1.78793 | − | 3.09678i | 0.104810 | − | 0.181537i | ||||
\(292\) | 2.18308 | + | 3.78121i | 0.127755 | + | 0.221279i | ||||
\(293\) | −10.4048 | + | 18.0216i | −0.607853 | + | 1.05283i | 0.383740 | + | 0.923441i | \(0.374636\pi\) |
−0.991594 | + | 0.129392i | \(0.958697\pi\) | |||||||
\(294\) | 57.3878 | 3.34692 | ||||||||
\(295\) | 2.48974 | 0.144958 | ||||||||
\(296\) | −11.0713 | + | 19.1761i | −0.643507 | + | 1.11459i | ||||
\(297\) | −9.76381 | − | 16.9114i | −0.566554 | − | 0.981300i | ||||
\(298\) | −13.9052 | + | 24.0845i | −0.805505 | + | 1.39518i | ||||
\(299\) | 0.539577 | + | 0.934575i | 0.0312046 | + | 0.0540479i | ||||
\(300\) | −4.13068 | − | 7.15455i | −0.238485 | − | 0.413068i | ||||
\(301\) | −7.23373 | − | 12.5292i | −0.416945 | − | 0.722170i | ||||
\(302\) | −53.3905 | −3.07228 | ||||||||
\(303\) | 10.9962 | − | 19.0459i | 0.631713 | − | 1.09416i | ||||
\(304\) | −18.8338 | + | 32.6211i | −1.08019 | + | 1.87095i | ||||
\(305\) | −15.3521 | − | 26.5906i | −0.879057 | − | 1.52257i | ||||
\(306\) | 4.28299 | 0.244843 | ||||||||
\(307\) | 3.85935 | − | 6.68459i | 0.220265 | − | 0.381509i | −0.734624 | − | 0.678475i | \(-0.762641\pi\) |
0.954888 | + | 0.296965i | \(0.0959746\pi\) | |||||||
\(308\) | −133.251 | −7.59270 | ||||||||
\(309\) | 9.76864 | 0.555718 | ||||||||
\(310\) | 31.1407 | + | 6.32019i | 1.76867 | + | 0.358963i | ||||
\(311\) | 7.91172 | 0.448633 | 0.224316 | − | 0.974516i | \(-0.427985\pi\) | ||||
0.224316 | + | 0.974516i | \(0.427985\pi\) | |||||||
\(312\) | −20.6918 | −1.17144 | ||||||||
\(313\) | 7.21927 | − | 12.5041i | 0.408057 | − | 0.706776i | −0.586615 | − | 0.809866i | \(-0.699540\pi\) |
0.994672 | + | 0.103090i | \(0.0328730\pi\) | |||||||
\(314\) | 33.9019 | 1.91319 | ||||||||
\(315\) | −5.93943 | − | 10.2874i | −0.334649 | − | 0.579629i | ||||
\(316\) | −3.42662 | + | 5.93507i | −0.192762 | + | 0.333874i | ||||
\(317\) | −0.0424106 | + | 0.0734573i | −0.00238202 | + | 0.00412578i | −0.867214 | − | 0.497936i | \(-0.834092\pi\) |
0.864832 | + | 0.502061i | \(0.167425\pi\) | |||||||
\(318\) | −4.55201 | −0.255264 | ||||||||
\(319\) | 3.73719 | + | 6.47300i | 0.209242 | + | 0.362418i | ||||
\(320\) | 36.3576 | + | 62.9732i | 2.03245 | + | 3.52031i | ||||
\(321\) | −19.4415 | − | 33.6736i | −1.08512 | − | 1.87948i | ||||
\(322\) | −6.11660 | + | 10.5943i | −0.340865 | + | 0.590396i | ||||
\(323\) | 1.31279 | + | 2.27382i | 0.0730456 | + | 0.126519i | ||||
\(324\) | 31.3823 | − | 54.3557i | 1.74346 | − | 3.01976i | ||||
\(325\) | 0.705798 | 0.0391506 | ||||||||
\(326\) | −48.1221 | −2.66524 | ||||||||
\(327\) | 14.7694 | − | 25.5814i | 0.816752 | − | 1.41466i | ||||
\(328\) | 11.2691 | + | 19.5186i | 0.622230 | + | 1.07773i | ||||
\(329\) | 20.2098 | − | 35.0044i | 1.11420 | − | 1.92986i | ||||
\(330\) | 34.6679 | + | 60.0466i | 1.90840 | + | 3.30545i | ||||
\(331\) | 12.5755 | + | 21.7813i | 0.691210 | + | 1.19721i | 0.971442 | + | 0.237279i | \(0.0762555\pi\) |
−0.280231 | + | 0.959932i | \(0.590411\pi\) | |||||||
\(332\) | 6.85313 | + | 11.8700i | 0.376114 | + | 0.651449i | ||||
\(333\) | −3.12351 | −0.171167 | ||||||||
\(334\) | 0.125433 | − | 0.217256i | 0.00686339 | − | 0.0118877i | ||||
\(335\) | 7.98472 | − | 13.8299i | 0.436252 | − | 0.755611i | ||||
\(336\) | −69.1017 | − | 119.688i | −3.76981 | − | 6.52950i | ||||
\(337\) | 6.13735 | 0.334323 | 0.167162 | − | 0.985930i | \(-0.446540\pi\) | ||||
0.167162 | + | 0.985930i | \(0.446540\pi\) | |||||||
\(338\) | 1.37702 | − | 2.38508i | 0.0749003 | − | 0.129731i | ||||
\(339\) | 29.5442 | 1.60462 | ||||||||
\(340\) | 12.9233 | 0.700867 | ||||||||
\(341\) | 31.6298 | + | 6.41945i | 1.71285 | + | 0.347632i | ||||
\(342\) | −9.01817 | −0.487647 | ||||||||
\(343\) | −12.1104 | −0.653902 | ||||||||
\(344\) | −17.3505 | + | 30.0519i | −0.935476 | + | 1.62029i | ||||
\(345\) | 4.68694 | 0.252336 | ||||||||
\(346\) | 11.0457 | + | 19.1317i | 0.593821 | + | 1.02853i | ||||
\(347\) | −7.28960 | + | 12.6260i | −0.391326 | + | 0.677797i | −0.992625 | − | 0.121228i | \(-0.961317\pi\) |
0.601298 | + | 0.799024i | \(0.294650\pi\) | |||||||
\(348\) | −7.54633 | + | 13.0706i | −0.404526 | + | 0.700659i | ||||
\(349\) | 5.17904 | 0.277228 | 0.138614 | − | 0.990347i | \(-0.455735\pi\) | ||||
0.138614 | + | 0.990347i | \(0.455735\pi\) | |||||||
\(350\) | 4.00044 | + | 6.92896i | 0.213832 | + | 0.370368i | ||||
\(351\) | 1.68438 | + | 2.91742i | 0.0899053 | + | 0.155721i | ||||
\(352\) | 70.6478 | + | 122.366i | 3.76554 | + | 6.52211i | ||||
\(353\) | −1.02602 | + | 1.77712i | −0.0546095 | + | 0.0945864i | −0.892038 | − | 0.451961i | \(-0.850725\pi\) |
0.837428 | + | 0.546547i | \(0.184058\pi\) | |||||||
\(354\) | 3.46752 | + | 6.00592i | 0.184297 | + | 0.319211i | ||||
\(355\) | −14.4079 | + | 24.9553i | −0.764694 | + | 1.32449i | ||||
\(356\) | −96.6725 | −5.12363 | ||||||||
\(357\) | −9.63334 | −0.509850 | ||||||||
\(358\) | 18.3122 | − | 31.7177i | 0.967832 | − | 1.67633i | ||||
\(359\) | 2.54319 | + | 4.40494i | 0.134224 | + | 0.232484i | 0.925301 | − | 0.379234i | \(-0.123812\pi\) |
−0.791076 | + | 0.611717i | \(0.790479\pi\) | |||||||
\(360\) | −14.2461 | + | 24.6749i | −0.750833 | + | 1.30048i | ||||
\(361\) | 6.73582 | + | 11.6668i | 0.354517 | + | 0.614041i | ||||
\(362\) | −29.6352 | − | 51.3298i | −1.55759 | − | 2.69783i | ||||
\(363\) | 23.6851 | + | 41.0237i | 1.24314 | + | 2.15319i | ||||
\(364\) | 22.9875 | 1.20487 | ||||||||
\(365\) | −0.810038 | + | 1.40303i | −0.0423993 | + | 0.0734377i | ||||
\(366\) | 42.7624 | − | 74.0666i | 2.23523 | − | 3.87152i | ||||
\(367\) | −12.8547 | − | 22.2650i | −0.671009 | − | 1.16222i | −0.977618 | − | 0.210386i | \(-0.932528\pi\) |
0.306610 | − | 0.951835i | \(-0.400805\pi\) | |||||||
\(368\) | 17.2883 | 0.901217 | ||||||||
\(369\) | −1.58965 | + | 2.75336i | −0.0827539 | + | 0.143334i | ||||
\(370\) | −12.7999 | −0.665436 | ||||||||
\(371\) | 3.24603 | 0.168526 | ||||||||
\(372\) | 20.7084 | + | 61.7930i | 1.07368 | + | 3.20382i | ||||
\(373\) | 27.0653 | 1.40139 | 0.700694 | − | 0.713462i | \(-0.252874\pi\) | ||||
0.700694 | + | 0.713462i | \(0.252874\pi\) | |||||||
\(374\) | 17.8270 | 0.921814 | ||||||||
\(375\) | 12.3906 | − | 21.4611i | 0.639847 | − | 1.10825i | ||||
\(376\) | −96.9486 | −4.99974 | ||||||||
\(377\) | −0.644710 | − | 1.11667i | −0.0332043 | − | 0.0575115i | ||||
\(378\) | −19.0940 | + | 33.0717i | −0.982087 | + | 1.70102i | ||||
\(379\) | 1.12358 | − | 1.94610i | 0.0577144 | − | 0.0999642i | −0.835725 | − | 0.549149i | \(-0.814952\pi\) |
0.893439 | + | 0.449184i | \(0.148285\pi\) | |||||||
\(380\) | −27.2111 | −1.39590 | ||||||||
\(381\) | 15.6550 | + | 27.1152i | 0.802029 | + | 1.38916i | ||||
\(382\) | −12.2623 | − | 21.2390i | −0.627395 | − | 1.08668i | ||||
\(383\) | −7.99482 | − | 13.8474i | −0.408516 | − | 0.707571i | 0.586208 | − | 0.810161i | \(-0.300620\pi\) |
−0.994724 | + | 0.102590i | \(0.967287\pi\) | |||||||
\(384\) | −50.1848 | + | 86.9226i | −2.56098 | + | 4.43575i | ||||
\(385\) | −24.7216 | − | 42.8191i | −1.25993 | − | 2.18226i | ||||
\(386\) | 24.3542 | − | 42.1828i | 1.23960 | − | 2.14705i | ||||
\(387\) | −4.89504 | −0.248829 | ||||||||
\(388\) | 9.52845 | 0.483734 | ||||||||
\(389\) | 1.59535 | − | 2.76322i | 0.0808873 | − | 0.140101i | −0.822744 | − | 0.568412i | \(-0.807558\pi\) |
0.903631 | + | 0.428311i | \(0.140891\pi\) | |||||||
\(390\) | −5.98063 | − | 10.3588i | −0.302841 | − | 0.524536i | ||||
\(391\) | 0.602533 | − | 1.04362i | 0.0304714 | − | 0.0527780i | ||||
\(392\) | 49.0781 | + | 85.0058i | 2.47882 | + | 4.29344i | ||||
\(393\) | 5.94005 | + | 10.2885i | 0.299636 | + | 0.518984i | ||||
\(394\) | −8.59917 | − | 14.8942i | −0.433220 | − | 0.750359i | ||||
\(395\) | −2.54291 | −0.127947 | ||||||||
\(396\) | −22.5427 | + | 39.0451i | −1.13281 | + | 1.96209i | ||||
\(397\) | −0.357825 | + | 0.619771i | −0.0179587 | + | 0.0311054i | −0.874865 | − | 0.484367i | \(-0.839050\pi\) |
0.856906 | + | 0.515472i | \(0.172383\pi\) | |||||||
\(398\) | 19.2384 | + | 33.3219i | 0.964334 | + | 1.67028i | ||||
\(399\) | 20.2837 | 1.01546 | ||||||||
\(400\) | 5.65353 | − | 9.79221i | 0.282677 | − | 0.489610i | ||||
\(401\) | 17.4555 | 0.871687 | 0.435844 | − | 0.900022i | \(-0.356450\pi\) | ||||
0.435844 | + | 0.900022i | \(0.356450\pi\) | |||||||
\(402\) | 44.4820 | 2.21856 | ||||||||
\(403\) | −5.45652 | − | 1.10743i | −0.271809 | − | 0.0551651i | ||||
\(404\) | 58.6021 | 2.91556 | ||||||||
\(405\) | 23.2889 | 1.15723 | ||||||||
\(406\) | 7.30839 | − | 12.6585i | 0.362709 | − | 0.628231i | ||||
\(407\) | −13.0009 | −0.644432 | ||||||||
\(408\) | 11.5530 | + | 20.0105i | 0.571961 | + | 0.990665i | ||||
\(409\) | −9.00141 | + | 15.5909i | −0.445091 | + | 0.770920i | −0.998059 | − | 0.0622826i | \(-0.980162\pi\) |
0.552968 | + | 0.833203i | \(0.313495\pi\) | |||||||
\(410\) | −6.51427 | + | 11.2831i | −0.321717 | + | 0.557230i | ||||
\(411\) | 5.69570 | 0.280948 | ||||||||
\(412\) | 13.0151 | + | 22.5427i | 0.641206 | + | 1.11060i | ||||
\(413\) | −2.47268 | − | 4.28281i | −0.121673 | − | 0.210743i | ||||
\(414\) | 2.06954 | + | 3.58455i | 0.101712 | + | 0.176171i | ||||
\(415\) | −2.54287 | + | 4.40437i | −0.124824 | + | 0.216202i | ||||
\(416\) | −12.1876 | − | 21.1096i | −0.597547 | − | 1.03498i | ||||
\(417\) | −2.12300 | + | 3.67714i | −0.103964 | + | 0.180071i | ||||
\(418\) | −37.5362 | −1.83595 | ||||||||
\(419\) | −6.66221 | −0.325470 | −0.162735 | − | 0.986670i | \(-0.552032\pi\) | ||||
−0.162735 | + | 0.986670i | \(0.552032\pi\) | |||||||
\(420\) | 49.9192 | − | 86.4625i | 2.43581 | − | 4.21894i | ||||
\(421\) | −9.57493 | − | 16.5843i | −0.466654 | − | 0.808268i | 0.532621 | − | 0.846354i | \(-0.321207\pi\) |
−0.999274 | + | 0.0380861i | \(0.987874\pi\) | |||||||
\(422\) | 12.9965 | − | 22.5105i | 0.632658 | − | 1.09579i | ||||
\(423\) | −6.83794 | − | 11.8437i | −0.332472 | − | 0.575859i | ||||
\(424\) | −3.89289 | − | 6.74268i | −0.189055 | − | 0.327454i | ||||
\(425\) | −0.394074 | − | 0.682556i | −0.0191154 | − | 0.0331088i | ||||
\(426\) | −80.2651 | −3.88886 | ||||||||
\(427\) | −30.4938 | + | 52.8167i | −1.47570 | + | 2.55598i | ||||
\(428\) | 51.8050 | − | 89.7288i | 2.50409 | − | 4.33721i | ||||
\(429\) | −6.07456 | − | 10.5214i | −0.293282 | − | 0.507980i | ||||
\(430\) | −20.0595 | −0.967355 | ||||||||
\(431\) | 5.23095 | − | 9.06026i | 0.251966 | − | 0.436418i | −0.712101 | − | 0.702077i | \(-0.752256\pi\) |
0.964067 | + | 0.265659i | \(0.0855896\pi\) | |||||||
\(432\) | 53.9683 | 2.59655 | ||||||||
\(433\) | −4.81123 | −0.231213 | −0.115606 | − | 0.993295i | \(-0.536881\pi\) | ||||
−0.115606 | + | 0.993295i | \(0.536881\pi\) | |||||||
\(434\) | −20.0554 | − | 59.8446i | −0.962692 | − | 2.87263i | ||||
\(435\) | −5.60016 | −0.268507 | ||||||||
\(436\) | 78.7112 | 3.76958 | ||||||||
\(437\) | −1.26868 | + | 2.19742i | −0.0606891 | + | 0.105117i | ||||
\(438\) | −4.51263 | −0.215622 | ||||||||
\(439\) | −13.5014 | − | 23.3852i | −0.644389 | − | 1.11611i | −0.984442 | − | 0.175708i | \(-0.943779\pi\) |
0.340053 | − | 0.940406i | \(-0.389555\pi\) | |||||||
\(440\) | −59.2961 | + | 102.704i | −2.82683 | + | 4.89622i | ||||
\(441\) | −6.92312 | + | 11.9912i | −0.329672 | + | 0.571009i | ||||
\(442\) | −3.07538 | −0.146281 | ||||||||
\(443\) | −0.529870 | − | 0.917762i | −0.0251749 | − | 0.0436042i | 0.853163 | − | 0.521644i | \(-0.174681\pi\) |
−0.878338 | + | 0.478039i | \(0.841348\pi\) | |||||||
\(444\) | −13.1261 | − | 22.7350i | −0.622936 | − | 1.07896i | ||||
\(445\) | −17.9353 | − | 31.0648i | −0.850213 | − | 1.47261i | ||||
\(446\) | 7.55971 | − | 13.0938i | 0.357963 | − | 0.620009i | ||||
\(447\) | −10.5820 | − | 18.3286i | −0.500513 | − | 0.866914i | ||||
\(448\) | 72.2169 | − | 125.083i | 3.41193 | − | 5.90963i | ||||
\(449\) | 18.2765 | 0.862521 | 0.431261 | − | 0.902227i | \(-0.358069\pi\) | ||||
0.431261 | + | 0.902227i | \(0.358069\pi\) | |||||||
\(450\) | 2.70708 | 0.127613 | ||||||||
\(451\) | −6.61658 | + | 11.4602i | −0.311562 | + | 0.539642i | ||||
\(452\) | 39.3627 | + | 68.1781i | 1.85146 | + | 3.20683i | ||||
\(453\) | 20.3155 | − | 35.1874i | 0.954503 | − | 1.65325i | ||||
\(454\) | 3.95397 | + | 6.84847i | 0.185569 | + | 0.321415i | ||||
\(455\) | 4.26478 | + | 7.38681i | 0.199936 | + | 0.346299i | ||||
\(456\) | −24.3258 | − | 42.1335i | −1.13916 | − | 1.97308i | ||||
\(457\) | 0.720047 | 0.0336824 | 0.0168412 | − | 0.999858i | \(-0.494639\pi\) | ||||
0.0168412 | + | 0.999858i | \(0.494639\pi\) | |||||||
\(458\) | 34.6041 | − | 59.9361i | 1.61694 | − | 2.80063i | ||||
\(459\) | 1.88090 | − | 3.25782i | 0.0877930 | − | 0.152062i | ||||
\(460\) | 6.24455 | + | 10.8159i | 0.291154 | + | 0.504293i | ||||
\(461\) | −9.36428 | −0.436138 | −0.218069 | − | 0.975933i | \(-0.569976\pi\) | ||||
−0.218069 | + | 0.975933i | \(0.569976\pi\) | |||||||
\(462\) | 68.8607 | − | 119.270i | 3.20369 | − | 5.54895i | ||||
\(463\) | −1.20273 | −0.0558956 | −0.0279478 | − | 0.999609i | \(-0.508897\pi\) | ||||
−0.0279478 | + | 0.999609i | \(0.508897\pi\) | |||||||
\(464\) | −20.6569 | −0.958970 | ||||||||
\(465\) | −16.0146 | + | 18.1186i | −0.742661 | + | 0.840232i | ||||
\(466\) | 61.7052 | 2.85844 | ||||||||
\(467\) | −32.5260 | −1.50513 | −0.752563 | − | 0.658521i | \(-0.771182\pi\) | ||||
−0.752563 | + | 0.658521i | \(0.771182\pi\) | |||||||
\(468\) | 3.88889 | − | 6.73575i | 0.179764 | − | 0.311360i | ||||
\(469\) | −31.7200 | −1.46470 | ||||||||
\(470\) | −28.0214 | − | 48.5345i | −1.29253 | − | 2.23873i | ||||
\(471\) | −12.8999 | + | 22.3433i | −0.594396 | + | 1.02952i | ||||
\(472\) | −5.93086 | + | 10.2725i | −0.272990 | + | 0.472832i | ||||
\(473\) | −20.3745 | −0.936821 | ||||||||
\(474\) | −3.54156 | − | 6.13417i | −0.162669 | − | 0.281752i | ||||
\(475\) | 0.829752 | + | 1.43717i | 0.0380717 | + | 0.0659420i | ||||
\(476\) | −12.8348 | − | 22.2305i | −0.588282 | − | 1.01893i | ||||
\(477\) | 0.549144 | − | 0.951145i | 0.0251436 | − | 0.0435499i | ||||
\(478\) | −23.7672 | − | 41.1661i | −1.08709 | − | 1.88289i | ||||
\(479\) | −12.5146 | + | 21.6760i | −0.571808 | + | 0.990401i | 0.424572 | + | 0.905394i | \(0.360425\pi\) |
−0.996380 | + | 0.0850068i | \(0.972909\pi\) | |||||||
\(480\) | −105.865 | −4.83207 | ||||||||
\(481\) | 2.24282 | 0.102264 | ||||||||
\(482\) | 4.39479 | − | 7.61200i | 0.200177 | − | 0.346717i | ||||
\(483\) | −4.65482 | − | 8.06239i | −0.211802 | − | 0.366851i | ||||
\(484\) | −63.1127 | + | 109.314i | −2.86876 | + | 4.96883i | ||||
\(485\) | 1.76777 | + | 3.06188i | 0.0802705 | + | 0.139033i | ||||
\(486\) | 18.5184 | + | 32.0748i | 0.840012 | + | 1.45494i | ||||
\(487\) | −10.0926 | − | 17.4808i | −0.457338 | − | 0.792132i | 0.541482 | − | 0.840713i | \(-0.317864\pi\) |
−0.998819 | + | 0.0485806i | \(0.984530\pi\) | |||||||
\(488\) | 146.282 | 6.62187 | ||||||||
\(489\) | 18.3108 | − | 31.7152i | 0.828043 | − | 1.43421i | ||||
\(490\) | −28.3704 | + | 49.1391i | −1.28165 | + | 2.21988i | ||||
\(491\) | −6.77906 | − | 11.7417i | −0.305935 | − | 0.529894i | 0.671534 | − | 0.740973i | \(-0.265636\pi\) |
−0.977469 | + | 0.211079i | \(0.932302\pi\) | |||||||
\(492\) | −26.7211 | −1.20468 | ||||||||
\(493\) | −0.719933 | + | 1.24696i | −0.0324241 | + | 0.0561603i | ||||
\(494\) | 6.47544 | 0.291344 | ||||||||
\(495\) | −16.7290 | −0.751913 | ||||||||
\(496\) | −59.0719 | + | 66.8328i | −2.65241 | + | 3.00088i | ||||
\(497\) | 57.2368 | 2.56742 | ||||||||
\(498\) | −14.1660 | −0.634795 | ||||||||
\(499\) | −1.34647 | + | 2.33216i | −0.0602763 | + | 0.104402i | −0.894589 | − | 0.446890i | \(-0.852532\pi\) |
0.834313 | + | 0.551292i | \(0.185865\pi\) | |||||||
\(500\) | 66.0335 | 2.95311 | ||||||||
\(501\) | 0.0954563 | + | 0.165335i | 0.00426467 | + | 0.00738663i | ||||
\(502\) | −20.2463 | + | 35.0676i | −0.903637 | + | 1.56515i | ||||
\(503\) | 6.23632 | − | 10.8016i | 0.278064 | − | 0.481620i | −0.692840 | − | 0.721092i | \(-0.743641\pi\) |
0.970903 | + | 0.239471i | \(0.0769740\pi\) | |||||||
\(504\) | 56.5938 | 2.52089 | ||||||||
\(505\) | 10.8722 | + | 18.8312i | 0.483807 | + | 0.837979i | ||||
\(506\) | 8.61401 | + | 14.9199i | 0.382940 | + | 0.663271i | ||||
\(507\) | 1.04794 | + | 1.81508i | 0.0465404 | + | 0.0806104i | ||||
\(508\) | −41.7153 | + | 72.2529i | −1.85082 | + | 3.20571i | ||||
\(509\) | −9.70290 | − | 16.8059i | −0.430073 | − | 0.744909i | 0.566806 | − | 0.823851i | \(-0.308179\pi\) |
−0.996879 | + | 0.0789424i | \(0.974846\pi\) | |||||||
\(510\) | −6.67843 | + | 11.5674i | −0.295726 | + | 0.512212i | ||||
\(511\) | 3.21795 | 0.142354 | ||||||||
\(512\) | −74.1717 | −3.27796 | ||||||||
\(513\) | −3.96038 | + | 6.85958i | −0.174855 | + | 0.302858i | ||||
\(514\) | −21.5566 | − | 37.3371i | −0.950819 | − | 1.64687i | ||||
\(515\) | −4.82926 | + | 8.36453i | −0.212803 | + | 0.368585i | ||||
\(516\) | −20.5706 | − | 35.6294i | −0.905572 | − | 1.56850i | ||||
\(517\) | −28.4615 | − | 49.2967i | −1.25173 | − | 2.16807i | ||||
\(518\) | 12.7122 | + | 22.0182i | 0.558543 | + | 0.967424i | ||||
\(519\) | −16.8119 | −0.737959 | ||||||||
\(520\) | 10.2293 | − | 17.7177i | 0.448585 | − | 0.776971i | ||||
\(521\) | −20.5432 | + | 35.5819i | −0.900014 | + | 1.55887i | −0.0725394 | + | 0.997366i | \(0.523110\pi\) |
−0.827474 | + | 0.561504i | \(0.810223\pi\) | |||||||
\(522\) | −2.47278 | − | 4.28298i | −0.108231 | − | 0.187461i | ||||
\(523\) | 19.3758 | 0.847246 | 0.423623 | − | 0.905839i | \(-0.360758\pi\) | ||||
0.423623 | + | 0.905839i | \(0.360758\pi\) | |||||||
\(524\) | −15.8282 | + | 27.4153i | −0.691459 | + | 1.19764i | ||||
\(525\) | −6.08878 | −0.265736 | ||||||||
\(526\) | −6.32095 | −0.275607 | ||||||||
\(527\) | 1.97562 | + | 5.89516i | 0.0860592 | + | 0.256797i | ||||
\(528\) | −194.632 | −8.47027 | ||||||||
\(529\) | −21.8354 | −0.949366 | ||||||||
\(530\) | 2.25035 | − | 3.89772i | 0.0977490 | − | 0.169306i | ||||
\(531\) | −1.67325 | −0.0726130 | ||||||||
\(532\) | 27.0246 | + | 46.8080i | 1.17167 | + | 2.02938i | ||||
\(533\) | 1.14144 | − | 1.97703i | 0.0494413 | − | 0.0856348i | ||||
\(534\) | 49.9577 | − | 86.5293i | 2.16188 | − | 3.74449i | ||||
\(535\) | 38.4447 | 1.66211 | ||||||||
\(536\) | 38.0411 | + | 65.8892i | 1.64313 | + | 2.84598i | ||||
\(537\) | 13.9359 | + | 24.1376i | 0.601377 | + | 1.04162i | ||||
\(538\) | 24.7250 | + | 42.8249i | 1.06597 | + | 1.84631i | ||||
\(539\) | −28.8160 | + | 49.9108i | −1.24119 | + | 2.14981i | ||||
\(540\) | 19.4934 | + | 33.7635i | 0.838861 | + | 1.45295i | ||||
\(541\) | 3.68814 | − | 6.38805i | 0.158566 | − | 0.274644i | −0.775786 | − | 0.630996i | \(-0.782646\pi\) |
0.934352 | + | 0.356352i | \(0.115980\pi\) | |||||||
\(542\) | −10.9966 | −0.472346 | ||||||||
\(543\) | 45.1057 | 1.93567 | ||||||||
\(544\) | −13.6096 | + | 23.5725i | −0.583507 | + | 1.01066i | ||||
\(545\) | 14.6030 | + | 25.2931i | 0.625522 | + | 1.08344i | ||||
\(546\) | −11.8793 | + | 20.5756i | −0.508387 | + | 0.880553i | ||||
\(547\) | −15.7528 | − | 27.2847i | −0.673543 | − | 1.16661i | −0.976892 | − | 0.213732i | \(-0.931438\pi\) |
0.303349 | − | 0.952879i | \(-0.401895\pi\) | |||||||
\(548\) | 7.58856 | + | 13.1438i | 0.324167 | + | 0.561474i | ||||
\(549\) | 10.3175 | + | 17.8704i | 0.440340 | + | 0.762692i | ||||
\(550\) | 11.2676 | 0.480453 | ||||||||
\(551\) | 1.51587 | − | 2.62557i | 0.0645783 | − | 0.111853i | ||||
\(552\) | −11.1648 | + | 19.3381i | −0.475207 | + | 0.823083i | ||||
\(553\) | 2.52548 | + | 4.37426i | 0.107394 | + | 0.186012i | ||||
\(554\) | 5.88690 | 0.250110 | ||||||||
\(555\) | 4.87046 | − | 8.43588i | 0.206740 | − | 0.358083i | ||||
\(556\) | −11.3142 | −0.479827 | ||||||||
\(557\) | −19.1990 | −0.813487 | −0.406744 | − | 0.913542i | \(-0.633336\pi\) | ||||
−0.406744 | + | 0.913542i | \(0.633336\pi\) | |||||||
\(558\) | −20.9284 | − | 4.24754i | −0.885970 | − | 0.179813i | ||||
\(559\) | 3.51485 | 0.148662 | ||||||||
\(560\) | 136.646 | 5.77433 | ||||||||
\(561\) | −6.78331 | + | 11.7490i | −0.286392 | + | 0.496045i | ||||
\(562\) | 3.25101 | 0.137135 | ||||||||
\(563\) | −6.05079 | − | 10.4803i | −0.255011 | − | 0.441691i | 0.709888 | − | 0.704315i | \(-0.248746\pi\) |
−0.964898 | + | 0.262624i | \(0.915412\pi\) | |||||||
\(564\) | 57.4709 | − | 99.5425i | 2.41996 | − | 4.19149i | ||||
\(565\) | −14.6056 | + | 25.2976i | −0.614462 | + | 1.06428i | ||||
\(566\) | −18.3548 | −0.771511 | ||||||||
\(567\) | −23.1293 | − | 40.0611i | −0.971340 | − | 1.68241i | ||||
\(568\) | −68.6429 | − | 118.893i | −2.88019 | − | 4.98864i | ||||
\(569\) | 17.1246 | + | 29.6607i | 0.717901 | + | 1.24344i | 0.961830 | + | 0.273648i | \(0.0882305\pi\) |
−0.243928 | + | 0.969793i | \(0.578436\pi\) | |||||||
\(570\) | 14.0619 | − | 24.3560i | 0.588990 | − | 1.02016i | ||||
\(571\) | −3.36637 | − | 5.83073i | −0.140878 | − | 0.244008i | 0.786949 | − | 0.617018i | \(-0.211659\pi\) |
−0.927828 | + | 0.373009i | \(0.878326\pi\) | |||||||
\(572\) | 16.1866 | − | 28.0361i | 0.676797 | − | 1.17225i | ||||
\(573\) | 18.6636 | 0.779684 | ||||||||
\(574\) | 25.8785 | 1.08015 | ||||||||
\(575\) | 0.380833 | − | 0.659622i | 0.0158818 | − | 0.0275081i | ||||
\(576\) | −24.4344 | − | 42.3217i | −1.01810 | − | 1.76340i | ||||
\(577\) | 8.59766 | − | 14.8916i | 0.357925 | − | 0.619945i | −0.629689 | − | 0.776847i | \(-0.716818\pi\) |
0.987614 | + | 0.156903i | \(0.0501509\pi\) | |||||||
\(578\) | −21.6923 | − | 37.5722i | −0.902281 | − | 1.56280i | ||||
\(579\) | 18.5339 | + | 32.1017i | 0.770243 | + | 1.33410i | ||||
\(580\) | −7.46126 | − | 12.9233i | −0.309812 | − | 0.536610i | ||||
\(581\) | 10.1018 | 0.419092 | ||||||||
\(582\) | −4.92404 | + | 8.52869i | −0.204108 | + | 0.353526i | ||||
\(583\) | 2.28569 | − | 3.95893i | 0.0946637 | − | 0.163962i | ||||
\(584\) | −3.85921 | − | 6.68435i | −0.159695 | − | 0.276600i | ||||
\(585\) | 2.88596 | 0.119320 | ||||||||
\(586\) | 28.6553 | − | 49.6324i | 1.18374 | − | 2.05029i | ||||
\(587\) | 16.8077 | 0.693729 | 0.346865 | − | 0.937915i | \(-0.387246\pi\) | ||||
0.346865 | + | 0.937915i | \(0.387246\pi\) | |||||||
\(588\) | −116.374 | −4.79916 | ||||||||
\(589\) | −4.15981 | − | 12.4127i | −0.171402 | − | 0.511456i | ||||
\(590\) | −6.85686 | −0.282293 | ||||||||
\(591\) | 13.0882 | 0.538376 | ||||||||
\(592\) | 17.9653 | − | 31.1168i | 0.738368 | − | 1.27889i | ||||
\(593\) | −22.1847 | −0.911017 | −0.455508 | − | 0.890232i | \(-0.650542\pi\) | ||||
−0.455508 | + | 0.890232i | \(0.650542\pi\) | |||||||
\(594\) | 26.8900 | + | 46.5749i | 1.10331 | + | 1.91099i | ||||
\(595\) | 4.76237 | − | 8.24868i | 0.195238 | − | 0.338163i | ||||
\(596\) | 28.1975 | − | 48.8396i | 1.15502 | − | 2.00055i | ||||
\(597\) | −29.2814 | −1.19841 | ||||||||
\(598\) | −1.48602 | − | 2.57387i | −0.0607680 | − | 0.105253i | ||||
\(599\) | 2.87829 | + | 4.98535i | 0.117604 | + | 0.203696i | 0.918818 | − | 0.394682i | \(-0.129145\pi\) |
−0.801214 | + | 0.598378i | \(0.795812\pi\) | |||||||
\(600\) | 7.30213 | + | 12.6477i | 0.298108 | + | 0.516339i | ||||
\(601\) | −3.79186 | + | 6.56769i | −0.154673 | + | 0.267902i | −0.932940 | − | 0.360032i | \(-0.882766\pi\) |
0.778267 | + | 0.627934i | \(0.216099\pi\) | |||||||
\(602\) | 19.9220 | + | 34.5060i | 0.811962 | + | 1.40636i | ||||
\(603\) | −5.36621 | + | 9.29454i | −0.218529 | + | 0.378503i | ||||
\(604\) | 108.268 | 4.40535 | ||||||||
\(605\) | −46.8361 | −1.90416 | ||||||||
\(606\) | −30.2840 | + | 52.4534i | −1.23020 | + | 2.13077i | ||||
\(607\) | 12.5556 | + | 21.7470i | 0.509617 | + | 0.882682i | 0.999938 | + | 0.0111403i | \(0.00354613\pi\) |
−0.490321 | + | 0.871542i | \(0.663121\pi\) | |||||||
\(608\) | 28.6561 | − | 49.6338i | 1.16216 | − | 2.01291i | ||||
\(609\) | 5.56179 | + | 9.63329i | 0.225375 | + | 0.390361i | ||||
\(610\) | 42.2804 | + | 73.2317i | 1.71188 | + | 2.96507i | ||||
\(611\) | 4.90995 | + | 8.50428i | 0.198635 | + | 0.344046i | ||||
\(612\) | −8.68525 | −0.351080 | ||||||||
\(613\) | 4.95092 | − | 8.57524i | 0.199966 | − | 0.346351i | −0.748551 | − | 0.663077i | \(-0.769250\pi\) |
0.948517 | + | 0.316726i | \(0.102584\pi\) | |||||||
\(614\) | −10.6288 | + | 18.4097i | −0.428945 | + | 0.742954i | ||||
\(615\) | −4.95745 | − | 8.58656i | −0.199904 | − | 0.346244i | ||||
\(616\) | 235.559 | 9.49095 | ||||||||
\(617\) | 20.6368 | − | 35.7440i | 0.830807 | − | 1.43900i | −0.0665928 | − | 0.997780i | \(-0.521213\pi\) |
0.897399 | − | 0.441219i | \(-0.145454\pi\) | |||||||
\(618\) | −26.9033 | −1.08221 | ||||||||
\(619\) | −15.8403 | −0.636674 | −0.318337 | − | 0.947978i | \(-0.603124\pi\) | ||||
−0.318337 | + | 0.947978i | \(0.603124\pi\) | |||||||
\(620\) | −63.1485 | − | 12.8164i | −2.53611 | − | 0.514718i | ||||
\(621\) | 3.63540 | 0.145884 | ||||||||
\(622\) | −21.7893 | −0.873670 | ||||||||
\(623\) | −35.6247 | + | 61.7039i | −1.42728 | + | 2.47211i | ||||
\(624\) | 33.5764 | 1.34413 | ||||||||
\(625\) | 10.4864 | + | 18.1630i | 0.419457 | + | 0.726521i | ||||
\(626\) | −19.8822 | + | 34.4370i | −0.794653 | + | 1.37638i | ||||
\(627\) | 14.2828 | − | 24.7385i | 0.570399 | − | 0.987960i | ||||
\(628\) | −68.7478 | −2.74334 | ||||||||
\(629\) | −1.25225 | − | 2.16896i | −0.0499305 | − | 0.0864822i | ||||
\(630\) | 16.3575 | + | 28.3320i | 0.651698 | + | 1.12877i | ||||
\(631\) | −25.0354 | − | 43.3626i | −0.996645 | − | 1.72624i | −0.569206 | − | 0.822195i | \(-0.692749\pi\) |
−0.427438 | − | 0.904044i | \(-0.640584\pi\) | |||||||
\(632\) | 6.05750 | − | 10.4919i | 0.240955 | − | 0.417346i | ||||
\(633\) | 9.89049 | + | 17.1308i | 0.393112 | + | 0.680889i | ||||
\(634\) | 0.116801 | − | 0.202305i | 0.00463876 | − | 0.00803456i | ||||
\(635\) | −30.9571 | −1.22849 | ||||||||
\(636\) | 9.23078 | 0.366024 | ||||||||
\(637\) | 4.97111 | − | 8.61021i | 0.196963 | − | 0.341149i | ||||
\(638\) | −10.2924 | − | 17.8270i | −0.407480 | − | 0.705776i | ||||
\(639\) | 9.68298 | − | 16.7714i | 0.383053 | − | 0.663467i | ||||
\(640\) | −49.6191 | − | 85.9428i | −1.96137 | − | 3.39719i | ||||
\(641\) | 8.31997 | + | 14.4106i | 0.328619 | + | 0.569185i | 0.982238 | − | 0.187639i | \(-0.0600835\pi\) |
−0.653619 | + | 0.756824i | \(0.726750\pi\) | |||||||
\(642\) | 53.5428 | + | 92.7388i | 2.11316 | + | 3.66011i | ||||
\(643\) | −8.48555 | −0.334637 | −0.167319 | − | 0.985903i | \(-0.553511\pi\) | ||||
−0.167319 | + | 0.985903i | \(0.553511\pi\) | |||||||
\(644\) | 12.4035 | − | 21.4835i | 0.488767 | − | 0.846570i | ||||
\(645\) | 7.63278 | − | 13.2204i | 0.300540 | − | 0.520551i | ||||
\(646\) | −3.61549 | − | 6.26221i | −0.142249 | − | 0.246383i | ||||
\(647\) | −26.0392 | −1.02371 | −0.511854 | − | 0.859072i | \(-0.671041\pi\) | ||||
−0.511854 | + | 0.859072i | \(0.671041\pi\) | |||||||
\(648\) | −55.4769 | + | 96.0889i | −2.17934 | + | 3.77473i | ||||
\(649\) | −6.96455 | −0.273382 | ||||||||
\(650\) | −1.94380 | −0.0762422 | ||||||||
\(651\) | 47.0723 | + | 9.55359i | 1.84491 | + | 0.374435i | ||||
\(652\) | 97.5841 | 3.82169 | ||||||||
\(653\) | 33.9953 | 1.33034 | 0.665169 | − | 0.746693i | \(-0.268360\pi\) | ||||
0.665169 | + | 0.746693i | \(0.268360\pi\) | |||||||
\(654\) | −40.6758 | + | 70.4525i | −1.59055 | + | 2.75491i | ||||
\(655\) | −11.7462 | −0.458961 | ||||||||
\(656\) | −18.2862 | − | 31.6726i | −0.713955 | − | 1.23661i | ||||
\(657\) | 0.544393 | − | 0.942916i | 0.0212388 | − | 0.0367867i | ||||
\(658\) | −55.6588 | + | 96.4038i | −2.16981 | + | 3.75821i | ||||
\(659\) | −17.2237 | −0.670942 | −0.335471 | − | 0.942051i | \(-0.608895\pi\) | ||||
−0.335471 | + | 0.942051i | \(0.608895\pi\) | |||||||
\(660\) | −70.3011 | − | 121.765i | −2.73647 | − | 4.73970i | ||||
\(661\) | −21.2401 | − | 36.7890i | −0.826146 | − | 1.43093i | −0.901040 | − | 0.433735i | \(-0.857195\pi\) |
0.0748944 | − | 0.997191i | \(-0.476138\pi\) | |||||||
\(662\) | −34.6335 | − | 59.9869i | −1.34607 | − | 2.33146i | ||||
\(663\) | 1.17020 | − | 2.02685i | 0.0454470 | − | 0.0787164i | ||||
\(664\) | −12.1148 | − | 20.9835i | −0.470146 | − | 0.814318i | ||||
\(665\) | −10.0275 | + | 17.3682i | −0.388851 | + | 0.673510i | ||||
\(666\) | 8.60230 | 0.333332 | ||||||||
\(667\) | −1.39148 | −0.0538785 | ||||||||
\(668\) | −0.254359 | + | 0.440562i | −0.00984143 | + | 0.0170459i | ||||
\(669\) | 5.75304 | + | 9.96456i | 0.222426 | + | 0.385252i | ||||
\(670\) | −21.9903 | + | 38.0883i | −0.849560 | + | 1.47148i | ||||
\(671\) | 42.9444 | + | 74.3818i | 1.65785 | + | 2.87148i | ||||
\(672\) | 105.140 | + | 182.108i | 4.05586 | + | 7.02496i | ||||
\(673\) | 9.90700 | + | 17.1594i | 0.381887 | + | 0.661447i | 0.991332 | − | 0.131381i | \(-0.0419411\pi\) |
−0.609445 | + | 0.792828i | \(0.708608\pi\) | |||||||
\(674\) | −16.9026 | −0.651063 | ||||||||
\(675\) | 1.18883 | − | 2.05911i | 0.0457581 | − | 0.0792553i | ||||
\(676\) | −2.79239 | + | 4.83657i | −0.107400 | + | 0.186022i | ||||
\(677\) | −21.5408 | − | 37.3097i | −0.827880 | − | 1.43393i | −0.899699 | − | 0.436512i | \(-0.856214\pi\) |
0.0718191 | − | 0.997418i | \(-0.477120\pi\) | |||||||
\(678\) | −81.3662 | −3.12485 | ||||||||
\(679\) | 3.51132 | − | 6.08179i | 0.134752 | − | 0.233398i | ||||
\(680\) | −22.8456 | −0.876090 | ||||||||
\(681\) | −6.01805 | −0.230612 | ||||||||
\(682\) | −87.1099 | − | 17.6795i | −3.33561 | − | 0.676982i | ||||
\(683\) | 2.33427 | 0.0893182 | 0.0446591 | − | 0.999002i | \(-0.485780\pi\) | ||||
0.0446591 | + | 0.999002i | \(0.485780\pi\) | |||||||
\(684\) | 18.2874 | 0.699238 | ||||||||
\(685\) | −2.81575 | + | 4.87702i | −0.107584 | + | 0.186341i | ||||
\(686\) | 33.3527 | 1.27341 | ||||||||
\(687\) | 26.3342 | + | 45.6122i | 1.00471 | + | 1.74021i | ||||
\(688\) | 28.1544 | − | 48.7649i | 1.07338 | − | 1.85914i | ||||
\(689\) | −0.394310 | + | 0.682964i | −0.0150220 | + | 0.0260189i | ||||
\(690\) | −12.9081 | −0.491401 | ||||||||
\(691\) | 14.5034 | + | 25.1206i | 0.551736 | + | 0.955634i | 0.998149 | + | 0.0608077i | \(0.0193676\pi\) |
−0.446414 | + | 0.894827i | \(0.647299\pi\) | |||||||
\(692\) | −22.3990 | − | 38.7962i | −0.851482 | − | 1.47481i | ||||
\(693\) | 16.6144 | + | 28.7769i | 0.631128 | + | 1.09315i | ||||
\(694\) | 20.0759 | − | 34.7725i | 0.762071 | − | 1.31995i | ||||
\(695\) | −2.09907 | − | 3.63570i | −0.0796223 | − | 0.137910i | ||||
\(696\) | 13.3402 | − | 23.1060i | 0.505661 | − | 0.875830i | ||||
\(697\) | −2.54924 | −0.0965593 | ||||||||
\(698\) | −14.2633 | −0.539875 | ||||||||
\(699\) | −23.4793 | + | 40.6673i | −0.888067 | + | 1.53818i | ||||
\(700\) | −8.11227 | − | 14.0509i | −0.306615 | − | 0.531073i | ||||
\(701\) | −20.1128 | + | 34.8364i | −0.759650 | + | 1.31575i | 0.183378 | + | 0.983042i | \(0.441297\pi\) |
−0.943029 | + | 0.332711i | \(0.892037\pi\) | |||||||
\(702\) | −4.63885 | − | 8.03473i | −0.175082 | − | 0.303251i | ||||
\(703\) | 2.63671 | + | 4.56692i | 0.0994454 | + | 0.172244i | ||||
\(704\) | −101.703 | − | 176.155i | −3.83308 | − | 6.63909i | ||||
\(705\) | 42.6494 | 1.60627 | ||||||||
\(706\) | 2.82571 | − | 4.89427i | 0.106347 | − | 0.184198i | ||||
\(707\) | 21.5954 | − | 37.4044i | 0.812180 | − | 1.40674i | ||||
\(708\) | −7.03159 | − | 12.1791i | −0.264263 | − | 0.457718i | ||||
\(709\) | −31.6545 | −1.18881 | −0.594405 | − | 0.804166i | \(-0.702613\pi\) | ||||
−0.594405 | + | 0.804166i | \(0.702613\pi\) | |||||||
\(710\) | 39.6802 | − | 68.7281i | 1.48917 | − | 2.57932i | ||||
\(711\) | 1.70898 | 0.0640918 | ||||||||
\(712\) | 170.896 | 6.40459 | ||||||||
\(713\) | −3.97919 | + | 4.50198i | −0.149022 | + | 0.168601i | ||||
\(714\) | 26.5307 | 0.992886 | ||||||||
\(715\) | 12.0122 | 0.449230 | ||||||||
\(716\) | −37.1344 | + | 64.3186i | −1.38778 | + | 2.40370i | ||||
\(717\) | 36.1744 | 1.35096 | ||||||||
\(718\) | −7.00407 | − | 12.1314i | −0.261390 | − | 0.452740i | ||||
\(719\) | 14.3198 | − | 24.8027i | 0.534039 | − | 0.924983i | −0.465170 | − | 0.885221i | \(-0.654007\pi\) |
0.999209 | − | 0.0397618i | \(-0.0126599\pi\) | |||||||
\(720\) | 23.1169 | − | 40.0396i | 0.861516 | − | 1.49219i | ||||
\(721\) | 19.1847 | 0.714475 | ||||||||
\(722\) | −18.5508 | − | 32.1309i | −0.690389 | − | 1.19579i | ||||
\(723\) | 3.34450 | + | 5.79284i | 0.124383 | + | 0.215438i | ||||
\(724\) | 60.0957 | + | 104.089i | 2.23344 | + | 3.86843i | ||||
\(725\) | −0.455036 | + | 0.788145i | −0.0168996 | + | 0.0292710i | ||||
\(726\) | −65.2298 | − | 112.981i | −2.42090 | − | 4.19313i | ||||
\(727\) | 21.1252 | − | 36.5899i | 0.783489 | − | 1.35704i | −0.146409 | − | 0.989224i | \(-0.546771\pi\) |
0.929898 | − | 0.367818i | \(-0.119895\pi\) | |||||||
\(728\) | −40.6368 | −1.50610 | ||||||||
\(729\) | 5.52989 | 0.204811 | ||||||||
\(730\) | 2.23088 | − | 3.86400i | 0.0825687 | − | 0.143013i | ||||
\(731\) | −1.96248 | − | 3.39911i | −0.0725848 | − | 0.125721i | ||||
\(732\) | −86.7155 | + | 150.196i | −3.20510 | + | 5.55139i | ||||
\(733\) | −9.28640 | − | 16.0845i | −0.343001 | − | 0.594095i | 0.641988 | − | 0.766715i | \(-0.278110\pi\) |
−0.984988 | + | 0.172620i | \(0.944777\pi\) | |||||||
\(734\) | 35.4024 | + | 61.3188i | 1.30673 | + | 2.26332i | ||||
\(735\) | −21.5903 | − | 37.3955i | −0.796371 | − | 1.37935i | ||||
\(736\) | −26.3046 | −0.969601 | ||||||||
\(737\) | −22.3357 | + | 38.6865i | −0.822745 | + | 1.42504i | ||||
\(738\) | 4.37798 | − | 7.58288i | 0.161156 | − | 0.279130i | ||||
\(739\) | −3.87523 | − | 6.71210i | −0.142553 | − | 0.246909i | 0.785905 | − | 0.618348i | \(-0.212198\pi\) |
−0.928457 | + | 0.371439i | \(0.878864\pi\) | |||||||
\(740\) | 25.9563 | 0.954171 | ||||||||
\(741\) | −2.46395 | + | 4.26769i | −0.0905155 | + | 0.156778i | ||||
\(742\) | −8.93973 | −0.328188 | ||||||||
\(743\) | 32.2012 | 1.18135 | 0.590673 | − | 0.806911i | \(-0.298862\pi\) | ||||
0.590673 | + | 0.806911i | \(0.298862\pi\) | |||||||
\(744\) | −36.6079 | − | 109.236i | −1.34211 | − | 4.00480i | ||||
\(745\) | 20.9255 | 0.766651 | ||||||||
\(746\) | −74.5391 | −2.72907 | ||||||||
\(747\) | 1.70896 | − | 2.96000i | 0.0625275 | − | 0.108301i | ||||
\(748\) | −36.1505 | −1.32179 | ||||||||
\(749\) | −38.1812 | − | 66.1318i | −1.39511 | − | 2.41641i | ||||
\(750\) | −34.1243 | + | 59.1050i | −1.24604 | + | 2.15821i | ||||
\(751\) | −14.5038 | + | 25.1214i | −0.529253 | + | 0.916693i | 0.470165 | + | 0.882579i | \(0.344194\pi\) |
−0.999418 | + | 0.0341144i | \(0.989139\pi\) | |||||||
\(752\) | 157.317 | 5.73677 | ||||||||
\(753\) | −15.4077 | − | 26.6870i | −0.561489 | − | 0.972527i | ||||
\(754\) | 1.77556 | + | 3.07537i | 0.0646622 | + | 0.111998i | ||||
\(755\) | 20.0865 | + | 34.7908i | 0.731021 | + | 1.26617i | ||||
\(756\) | 38.7196 | − | 67.0643i | 1.40822 | − | 2.43910i | ||||
\(757\) | −5.49564 | − | 9.51873i | −0.199742 | − | 0.345964i | 0.748702 | − | 0.662906i | \(-0.230677\pi\) |
−0.948445 | + | 0.316942i | \(0.897344\pi\) | |||||||
\(758\) | −3.09439 | + | 5.35964i | −0.112393 | + | 0.194671i | ||||
\(759\) | −13.1108 | −0.475891 | ||||||||
\(760\) | 48.1032 | 1.74489 | ||||||||
\(761\) | −19.4629 | + | 33.7107i | −0.705528 | + | 1.22201i | 0.260972 | + | 0.965346i | \(0.415957\pi\) |
−0.966501 | + | 0.256665i | \(0.917376\pi\) | |||||||
\(762\) | −43.1146 | − | 74.6767i | −1.56188 | − | 2.70525i | ||||
\(763\) | 29.0058 | − | 50.2395i | 1.05008 | − | 1.81879i | ||||
\(764\) | 24.8661 | + | 43.0694i | 0.899624 | + | 1.55820i | ||||
\(765\) | −1.61134 | − | 2.79092i | −0.0582581 | − | 0.100906i | ||||
\(766\) | 22.0181 | + | 38.1365i | 0.795547 | + | 1.37793i | ||||
\(767\) | 1.20147 | 0.0433825 | ||||||||
\(768\) | 64.6673 | − | 112.007i | 2.33348 | − | 4.04170i | ||||
\(769\) | 14.9293 | − | 25.8583i | 0.538364 | − | 0.932474i | −0.460628 | − | 0.887593i | \(-0.652376\pi\) |
0.998992 | − | 0.0448806i | \(-0.0142907\pi\) | |||||||
\(770\) | 68.0845 | + | 117.926i | 2.45359 | + | 4.24975i | ||||
\(771\) | 32.8097 | 1.18161 | ||||||||
\(772\) | −49.3866 | + | 85.5401i | −1.77746 | + | 3.07866i | ||||
\(773\) | 13.6168 | 0.489763 | 0.244882 | − | 0.969553i | \(-0.421251\pi\) | ||||
0.244882 | + | 0.969553i | \(0.421251\pi\) | |||||||
\(774\) | 13.4812 | 0.484571 | ||||||||
\(775\) | 1.24869 | + | 3.72605i | 0.0448544 | + | 0.133844i | ||||
\(776\) | −16.8442 | −0.604672 | ||||||||
\(777\) | −19.3483 | −0.694118 | ||||||||
\(778\) | −4.39367 | + | 7.61005i | −0.157521 | + | 0.272834i | ||||
\(779\) | 5.36761 | 0.192315 | ||||||||
\(780\) | 12.1278 | + | 21.0060i | 0.434245 | + | 0.752134i | ||||
\(781\) | 40.3033 | − | 69.8074i | 1.44217 | − | 2.49790i | ||||
\(782\) | −1.65941 | + | 2.87417i | −0.0593402 | + | 0.102780i | ||||
\(783\) | −4.34374 | −0.155233 | ||||||||
\(784\) | −79.6384 | − | 137.938i | −2.84423 | − | 4.92635i | ||||
\(785\) | −12.7545 | − | 22.0914i | −0.455228 | − | 0.788477i | ||||
\(786\) | −16.3592 | − | 28.3349i | −0.583513 | − | 1.01067i | ||||
\(787\) | −1.91550 | + | 3.31775i | −0.0682804 | + | 0.118265i | −0.898144 | − | 0.439701i | \(-0.855085\pi\) |
0.829864 | + | 0.557966i | \(0.188418\pi\) | |||||||
\(788\) | 17.4378 | + | 30.2031i | 0.621195 | + | 1.07594i | ||||
\(789\) | 2.40517 | − | 4.16587i | 0.0856262 | − | 0.148309i | ||||
\(790\) | 7.00328 | 0.249166 | ||||||||
\(791\) | 58.0221 | 2.06303 | ||||||||
\(792\) | 39.8505 | − | 69.0231i | 1.41603 | − | 2.45263i | ||||
\(793\) | −7.40843 | − | 12.8318i | −0.263081 | − | 0.455669i | ||||
\(794\) | 0.985468 | − | 1.70688i | 0.0349729 | − | 0.0605749i | ||||
\(795\) | 1.71255 | + | 2.96622i | 0.0607379 | + | 0.105201i | ||||
\(796\) | −39.0125 | − | 67.5717i | −1.38276 | − | 2.39501i | ||||
\(797\) | −6.70050 | − | 11.6056i | −0.237344 | − | 0.411092i | 0.722607 | − | 0.691259i | \(-0.242944\pi\) |
−0.959951 | + | 0.280167i | \(0.909610\pi\) | |||||||
\(798\) | −55.8623 | −1.97751 | ||||||||
\(799\) | 5.48282 | − | 9.49653i | 0.193968 | − | 0.335963i | ||||
\(800\) | −8.60199 | + | 14.8991i | −0.304126 | + | 0.526762i | ||||
\(801\) | 12.0536 | + | 20.8774i | 0.425892 | + | 0.737666i | ||||
\(802\) | −48.0734 | −1.69753 | ||||||||
\(803\) | 2.26592 | − | 3.92468i | 0.0799625 | − | 0.138499i | ||||
\(804\) | −90.2027 | −3.18120 | ||||||||
\(805\) | 9.20471 | 0.324423 | ||||||||
\(806\) | 15.0275 | + | 3.04992i | 0.529322 | + | 0.107429i | ||||
\(807\) | −37.6321 | −1.32471 | ||||||||
\(808\) | −103.596 | −3.64448 | ||||||||
\(809\) | 9.53951 | − | 16.5229i | 0.335391 | − | 0.580915i | −0.648169 | − | 0.761497i | \(-0.724465\pi\) |
0.983560 | + | 0.180582i | \(0.0577982\pi\) | |||||||
\(810\) | −64.1387 | −2.25361 | ||||||||
\(811\) | −17.0215 | − | 29.4821i | −0.597706 | − | 1.03526i | −0.993159 | − | 0.116771i | \(-0.962746\pi\) |
0.395452 | − | 0.918486i | \(-0.370588\pi\) | |||||||
\(812\) | −14.8203 | + | 25.6695i | −0.520090 | + | 0.900822i | ||||
\(813\) | 4.18430 | − | 7.24742i | 0.146750 | − | 0.254178i | ||||
\(814\) | 35.8052 | 1.25497 | ||||||||
\(815\) | 18.1044 | + | 31.3577i | 0.634169 | + | 1.09841i | ||||
\(816\) | −18.7470 | − | 32.4707i | −0.656275 | − | 1.13670i | ||||
\(817\) | 4.13214 | + | 7.15708i | 0.144565 | + | 0.250394i | ||||
\(818\) | 24.7903 | − | 42.9381i | 0.866773 | − | 1.50129i | ||||
\(819\) | −2.86618 | − | 4.96437i | −0.100153 | − | 0.173469i | ||||
\(820\) | 13.2099 | − | 22.8803i | 0.461311 | − | 0.799014i | ||||
\(821\) | −11.2676 | −0.393243 | −0.196622 | − | 0.980479i | \(-0.562997\pi\) | ||||
−0.196622 | + | 0.980479i | \(0.562997\pi\) | |||||||
\(822\) | −15.6862 | −0.547120 | ||||||||
\(823\) | 15.0980 | − | 26.1506i | 0.526285 | − | 0.911552i | −0.473246 | − | 0.880930i | \(-0.656918\pi\) |
0.999531 | − | 0.0306218i | \(-0.00974876\pi\) | |||||||
\(824\) | −23.0078 | − | 39.8506i | −0.801514 | − | 1.38826i | ||||
\(825\) | −4.28741 | + | 7.42602i | −0.149269 | + | 0.258541i | ||||
\(826\) | 6.80988 | + | 11.7951i | 0.236946 | + | 0.410403i | ||||
\(827\) | −20.5037 | − | 35.5135i | −0.712984 | − | 1.23493i | −0.963732 | − | 0.266873i | \(-0.914010\pi\) |
0.250747 | − | 0.968053i | \(-0.419324\pi\) | |||||||
\(828\) | −4.19671 | − | 7.26891i | −0.145846 | − | 0.252612i | ||||
\(829\) | 18.9122 | 0.656847 | 0.328423 | − | 0.944531i | \(-0.393483\pi\) | ||||
0.328423 | + | 0.944531i | \(0.393483\pi\) | |||||||
\(830\) | 7.00318 | − | 12.1299i | 0.243084 | − | 0.421034i | ||||
\(831\) | −2.24001 | + | 3.87980i | −0.0777050 | + | 0.134589i | ||||
\(832\) | 17.5450 | + | 30.3889i | 0.608264 | + | 1.05354i | ||||
\(833\) | −11.1022 | −0.384670 | ||||||||
\(834\) | 5.84685 | − | 10.1270i | 0.202460 | − | 0.350671i | ||||
\(835\) | −0.188761 | −0.00653233 | ||||||||
\(836\) | 76.1175 | 2.63258 | ||||||||
\(837\) | −12.4217 | + | 14.0536i | −0.429356 | + | 0.485765i | ||||
\(838\) | 18.3481 | 0.633823 | ||||||||
\(839\) | −10.6356 | −0.367182 | −0.183591 | − | 0.983003i | \(-0.558772\pi\) | ||||
−0.183591 | + | 0.983003i | \(0.558772\pi\) | |||||||
\(840\) | −88.2461 | + | 152.847i | −3.04478 | + | 5.27371i | ||||
\(841\) | −27.3374 | −0.942669 | ||||||||
\(842\) | 26.3698 | + | 45.6739i | 0.908765 | + | 1.57403i | ||||
\(843\) | −1.23703 | + | 2.14260i | −0.0426056 | + | 0.0737951i | ||||
\(844\) | −26.3548 | + | 45.6479i | −0.907170 | + | 1.57126i | ||||
\(845\) | −2.07225 | −0.0712874 | ||||||||
\(846\) | 18.8320 | + | 32.6180i | 0.647459 | + | 1.12143i | ||||
\(847\) | 46.5152 | + | 80.5667i | 1.59828 | + | 2.76831i | ||||
\(848\) | 6.31694 | + | 10.9413i | 0.216925 | + | 0.375725i | ||||
\(849\) | 6.98414 | − | 12.0969i | 0.239695 | − | 0.415164i | ||||
\(850\) | 1.08530 | + | 1.87979i | 0.0372255 | + | 0.0644764i | ||||
\(851\) | 1.21017 | − | 2.09608i | 0.0414842 | − | 0.0718528i | ||||
\(852\) | 162.765 | 5.57624 | ||||||||
\(853\) | 20.0398 | 0.686149 | 0.343075 | − | 0.939308i | \(-0.388532\pi\) | ||||
0.343075 | + | 0.939308i | \(0.388532\pi\) | |||||||
\(854\) | 83.9813 | − | 145.460i | 2.87378 | − | 4.97754i | ||||
\(855\) | 3.39280 | + | 5.87650i | 0.116031 | + | 0.200972i | ||||
\(856\) | −91.5798 | + | 158.621i | −3.13013 | + | 5.42155i | ||||
\(857\) | −8.74862 | − | 15.1531i | −0.298847 | − | 0.517619i | 0.677025 | − | 0.735960i | \(-0.263269\pi\) |
−0.975873 | + | 0.218341i | \(0.929935\pi\) | |||||||
\(858\) | 16.7296 | + | 28.9766i | 0.571140 | + | 0.989244i | ||||
\(859\) | −8.62228 | − | 14.9342i | −0.294188 | − | 0.509549i | 0.680607 | − | 0.732648i | \(-0.261716\pi\) |
−0.974796 | + | 0.223099i | \(0.928383\pi\) | |||||||
\(860\) | 40.6776 | 1.38709 | ||||||||
\(861\) | −9.84697 | + | 17.0555i | −0.335584 | + | 0.581248i | ||||
\(862\) | −14.4063 | + | 24.9524i | −0.490680 | + | 0.849882i | ||||
\(863\) | −22.9139 | − | 39.6880i | −0.779997 | − | 1.35099i | −0.931943 | − | 0.362606i | \(-0.881887\pi\) |
0.151945 | − | 0.988389i | \(-0.451446\pi\) | |||||||
\(864\) | −82.1141 | −2.79358 | ||||||||
\(865\) | 8.31119 | − | 14.3954i | 0.282589 | − | 0.489458i | ||||
\(866\) | 13.2504 | 0.450265 | ||||||||
\(867\) | 33.0163 | 1.12129 | ||||||||
\(868\) | 40.6693 | + | 121.356i | 1.38041 | + | 4.11908i | ||||
\(869\) | 7.11327 | 0.241301 | ||||||||
\(870\) | 15.4231 | 0.522892 | ||||||||
\(871\) | 3.85317 | − | 6.67389i | 0.130560 | − | 0.226136i | ||||
\(872\) | −139.144 | −4.71201 | ||||||||
\(873\) | −1.18805 | − | 2.05776i | −0.0402094 | − | 0.0696447i | ||||
\(874\) | 3.49400 | − | 6.05179i | 0.118186 | − | 0.204705i | ||||
\(875\) | 24.3340 | − | 42.1477i | 0.822638 | − | 1.42485i | ||||
\(876\) | 9.15092 | 0.309181 | ||||||||
\(877\) | 13.3582 | + | 23.1370i | 0.451073 | + | 0.781282i | 0.998453 | − | 0.0556025i | \(-0.0177080\pi\) |
−0.547380 | + | 0.836884i | \(0.684375\pi\) | |||||||
\(878\) | 37.1836 | + | 64.4040i | 1.25489 | + | 2.17353i | ||||
\(879\) | 21.8071 | + | 37.7709i | 0.735534 | + | 1.27398i | ||||
\(880\) | 96.2190 | − | 166.656i | 3.24354 | − | 5.61798i | ||||
\(881\) | −6.69233 | − | 11.5915i | −0.225470 | − | 0.390526i | 0.730990 | − | 0.682388i | \(-0.239059\pi\) |
−0.956460 | + | 0.291862i | \(0.905725\pi\) | |||||||
\(882\) | 19.0666 | − | 33.0243i | 0.642006 | − | 1.11199i | ||||
\(883\) | 1.73280 | 0.0583135 | 0.0291567 | − | 0.999575i | \(-0.490718\pi\) | ||||
0.0291567 | + | 0.999575i | \(0.490718\pi\) | |||||||
\(884\) | 6.23640 | 0.209753 | ||||||||
\(885\) | 2.60909 | − | 4.51907i | 0.0877034 | − | 0.151907i | ||||
\(886\) | 1.45929 | + | 2.52756i | 0.0490257 | + | 0.0849150i | ||||
\(887\) | −8.47149 | + | 14.6730i | −0.284445 | + | 0.492673i | −0.972474 | − | 0.233010i | \(-0.925143\pi\) |
0.688030 | + | 0.725683i | \(0.258476\pi\) | |||||||
\(888\) | 23.2040 | + | 40.1906i | 0.778676 | + | 1.34871i | ||||
\(889\) | 30.7449 | + | 53.2518i | 1.03115 | + | 1.78601i | ||||
\(890\) | 49.3946 | + | 85.5540i | 1.65571 | + | 2.86778i | ||||
\(891\) | −65.1460 | −2.18247 | ||||||||
\(892\) | −15.3299 | + | 26.5522i | −0.513284 | + | 0.889033i | ||||
\(893\) | −11.5445 | + | 19.9956i | −0.386322 | + | 0.669129i | ||||
\(894\) | 29.1434 | + | 50.4779i | 0.974702 | + | 1.68823i | ||||
\(895\) | −27.5576 | −0.921148 | ||||||||
\(896\) | −98.5583 | + | 170.708i | −3.29260 | + | 5.70295i | ||||
\(897\) | 2.26177 | 0.0755182 | ||||||||
\(898\) | −50.3344 | −1.67968 | ||||||||
\(899\) | 4.75451 | − | 5.37916i | 0.158572 | − | 0.179405i | ||||
\(900\) | −5.48954 | −0.182985 | ||||||||
\(901\) | 0.880632 | 0.0293381 | ||||||||
\(902\) | 18.2224 | − | 31.5621i | 0.606739 | − | 1.05090i | ||||
\(903\) | −30.3219 | −1.00905 | ||||||||
\(904\) | −69.5845 | − | 120.524i | −2.31435 | − | 4.00857i | ||||
\(905\) | −22.2986 | + | 38.6224i | −0.741231 | + | 1.28385i | ||||
\(906\) | −55.9498 | + | 96.9078i | −1.85881 | + | 3.21955i | ||||
\(907\) | −27.5969 | −0.916340 | −0.458170 | − | 0.888864i | \(-0.651495\pi\) | ||||
−0.458170 | + | 0.888864i | \(0.651495\pi\) | |||||||
\(908\) | −8.01803 | − | 13.8876i | −0.266088 | − | 0.460877i | ||||
\(909\) | −7.30677 | − | 12.6557i | −0.242350 | − | 0.419763i | ||||
\(910\) | −11.7454 | − | 20.3436i | −0.389356 | − | 0.674385i | ||||
\(911\) | 27.3306 | − | 47.3381i | 0.905505 | − | 1.56838i | 0.0852666 | − | 0.996358i | \(-0.472826\pi\) |
0.820238 | − | 0.572022i | \(-0.193841\pi\) | |||||||
\(912\) | 39.4731 | + | 68.3695i | 1.30709 | + | 2.26394i | ||||
\(913\) | 7.11316 | − | 12.3204i | 0.235411 | − | 0.407744i | ||||
\(914\) | −1.98304 | −0.0655933 | ||||||||
\(915\) | −64.3519 | −2.12741 | ||||||||
\(916\) | −70.1718 | + | 121.541i | −2.31854 | + | 4.01583i | ||||
\(917\) | 11.6657 | + | 20.2056i | 0.385235 | + | 0.667247i | ||||
\(918\) | −5.18010 | + | 8.97219i | −0.170969 | + | 0.296126i | ||||
\(919\) | −3.57419 | − | 6.19068i | −0.117902 | − | 0.204212i | 0.801034 | − | 0.598618i | \(-0.204283\pi\) |
−0.918936 | + | 0.394407i | \(0.870950\pi\) | |||||||
\(920\) | −11.0390 | − | 19.1201i | −0.363945 | − | 0.630371i | ||||
\(921\) | −8.08869 | − | 14.0100i | −0.266531 | − | 0.461646i | ||||
\(922\) | 25.7897 | 0.849338 | ||||||||
\(923\) | −6.95281 | + | 12.0426i | −0.228855 | + | 0.396388i | ||||
\(924\) | −139.639 | + | 241.862i | −4.59378 | + | 7.95666i | ||||
\(925\) | −0.791489 | − | 1.37090i | −0.0260240 | − | 0.0450749i | ||||
\(926\) | 3.31238 | 0.108851 | ||||||||
\(927\) | 3.24555 | − | 5.62146i | 0.106598 | − | 0.184633i | ||||
\(928\) | 31.4299 | 1.03174 | ||||||||
\(929\) | 15.3742 | 0.504411 | 0.252205 | − | 0.967674i | \(-0.418844\pi\) | ||||
0.252205 | + | 0.967674i | \(0.418844\pi\) | |||||||
\(930\) | 44.1051 | − | 49.8996i | 1.44626 | − | 1.63627i | ||||
\(931\) | 23.3766 | 0.766137 | ||||||||
\(932\) | −125.129 | −4.09872 | ||||||||
\(933\) | 8.29097 | − | 14.3604i | 0.271434 | − | 0.470138i | ||||
\(934\) | 89.5783 | 2.93109 | ||||||||
\(935\) | −6.70685 | − | 11.6166i | −0.219337 | − | 0.379904i | ||||
\(936\) | −6.87470 | + | 11.9073i | −0.224706 | + | 0.389203i | ||||
\(937\) | −14.9935 | + | 25.9695i | −0.489817 | + | 0.848388i | −0.999931 | − | 0.0117187i | \(-0.996270\pi\) |
0.510114 | + | 0.860107i | \(0.329603\pi\) | |||||||
\(938\) | 87.3585 | 2.85236 | ||||||||
\(939\) | −15.1307 | − | 26.2071i | −0.493770 | − | 0.855235i | ||||
\(940\) | 56.8231 | + | 98.4204i | 1.85336 | + | 3.21012i | ||||
\(941\) | 9.26659 | + | 16.0502i | 0.302082 | + | 0.523221i | 0.976607 | − | 0.215030i | \(-0.0689850\pi\) |
−0.674525 | + | 0.738252i | \(0.735652\pi\) | |||||||
\(942\) | 35.5270 | − | 61.5345i | 1.15753 | − | 2.00490i | ||||
\(943\) | −1.23179 | − | 2.13352i | −0.0401126 | − | 0.0694771i | ||||
\(944\) | 9.62392 | − | 16.6691i | 0.313232 | − | 0.542534i | ||||
\(945\) | 28.7340 | 0.934716 | ||||||||
\(946\) | 56.1124 | 1.82437 | ||||||||
\(947\) | 13.2033 | − | 22.8688i | 0.429049 | − | 0.743135i | −0.567740 | − | 0.823208i | \(-0.692182\pi\) |
0.996789 | + | 0.0800728i | \(0.0255153\pi\) | |||||||
\(948\) | 7.18174 | + | 12.4391i | 0.233252 | + | 0.404005i | ||||
\(949\) | −0.390898 | + | 0.677056i | −0.0126891 | + | 0.0219782i | ||||
\(950\) | −2.28518 | − | 3.95805i | −0.0741410 | − | 0.128416i | ||||
\(951\) | 0.0888871 | + | 0.153957i | 0.00288236 | + | 0.00499240i | ||||
\(952\) | 22.6891 | + | 39.2987i | 0.735358 | + | 1.27368i | ||||
\(953\) | −53.5158 | −1.73355 | −0.866773 | − | 0.498703i | \(-0.833810\pi\) | ||||
−0.866773 | + | 0.498703i | \(0.833810\pi\) | |||||||
\(954\) | −1.51237 | + | 2.61950i | −0.0489648 | + | 0.0848094i | ||||
\(955\) | −9.22662 | + | 15.9810i | −0.298566 | + | 0.517132i | ||||
\(956\) | 48.1963 | + | 83.4784i | 1.55878 | + | 2.69988i | ||||
\(957\) | 15.6653 | 0.506388 | ||||||||
\(958\) | 34.4659 | − | 59.6967i | 1.11354 | − | 1.92871i | ||||
\(959\) | 11.1858 | 0.361209 | ||||||||
\(960\) | 152.402 | 4.91874 | ||||||||
\(961\) | −3.80728 | − | 30.7653i | −0.122816 | − | 0.992430i | ||||
\(962\) | −6.17684 | −0.199149 | ||||||||
\(963\) | −25.8371 | −0.832589 | ||||||||
\(964\) | −8.91196 | + | 15.4360i | −0.287035 | + | 0.497159i | ||||
\(965\) | −36.6500 | −1.17981 | ||||||||
\(966\) | 12.8196 | + | 22.2042i | 0.412464 | + | 0.714409i | ||||
\(967\) | −19.1947 | + | 33.2462i | −0.617260 | + | 1.06913i | 0.372724 | + | 0.927942i | \(0.378424\pi\) |
−0.989983 | + | 0.141183i | \(0.954909\pi\) | |||||||
\(968\) | 111.569 | − | 193.244i | 3.58597 | − | 6.21109i | ||||
\(969\) | 5.50287 | 0.176778 | ||||||||
\(970\) | −4.86854 | − | 8.43255i | −0.156319 | − | 0.270753i | ||||
\(971\) | 14.5990 | + | 25.2862i | 0.468505 | + | 0.811474i | 0.999352 | − | 0.0359937i | \(-0.0114596\pi\) |
−0.530848 | + | 0.847467i | \(0.678126\pi\) | |||||||
\(972\) | −37.5525 | − | 65.0428i | −1.20450 | − | 2.08625i | ||||
\(973\) | −4.16937 | + | 7.22157i | −0.133664 | + | 0.231513i | ||||
\(974\) | 27.7954 | + | 48.1431i | 0.890622 | + | 1.54260i | ||||
\(975\) | 0.739631 | − | 1.28108i | 0.0236871 | − | 0.0410273i | ||||
\(976\) | −237.370 | −7.59802 | ||||||||
\(977\) | −49.1526 | −1.57253 | −0.786265 | − | 0.617890i | \(-0.787988\pi\) | ||||
−0.786265 | + | 0.617890i | \(0.787988\pi\) | |||||||
\(978\) | −50.4288 | + | 87.3453i | −1.61254 | + | 2.79299i | ||||
\(979\) | 50.1703 | + | 86.8975i | 1.60345 | + | 2.77726i | ||||
\(980\) | 57.5309 | − | 99.6464i | 1.83776 | − | 3.18309i | ||||
\(981\) | −9.81405 | − | 16.9984i | −0.313339 | − | 0.542718i | ||||
\(982\) | 18.6699 | + | 32.3372i | 0.595779 | + | 1.03192i | ||||
\(983\) | 3.95940 | + | 6.85788i | 0.126285 | + | 0.218732i | 0.922235 | − | 0.386631i | \(-0.126361\pi\) |
−0.795949 | + | 0.605363i | \(0.793028\pi\) | |||||||
\(984\) | 47.2370 | 1.50586 | ||||||||
\(985\) | −6.47032 | + | 11.2069i | −0.206162 | + | 0.357082i | ||||
\(986\) | 1.98273 | − | 3.43419i | 0.0631430 | − | 0.109367i | ||||
\(987\) | −42.3571 | − | 73.3647i | −1.34824 | − | 2.33522i | ||||
\(988\) | −13.1312 | −0.417759 | ||||||||
\(989\) | 1.89653 | − | 3.28489i | 0.0603063 | − | 0.104454i | ||||
\(990\) | 46.0725 | 1.46428 | ||||||||
\(991\) | −24.0440 | −0.763783 | −0.381891 | − | 0.924207i | \(-0.624727\pi\) | ||||
−0.381891 | + | 0.924207i | \(0.624727\pi\) | |||||||
\(992\) | 89.8793 | − | 101.688i | 2.85367 | − | 3.22859i | ||||
\(993\) | 52.7131 | 1.67280 | ||||||||
\(994\) | −157.633 | −4.99982 | ||||||||
\(995\) | 14.4757 | − | 25.0726i | 0.458910 | − | 0.794855i | ||||
\(996\) | 28.7265 | 0.910235 | ||||||||
\(997\) | −4.28344 | − | 7.41913i | −0.135658 | − | 0.234966i | 0.790191 | − | 0.612861i | \(-0.209981\pi\) |
−0.925849 | + | 0.377895i | \(0.876648\pi\) | |||||||
\(998\) | 3.70825 | − | 6.42287i | 0.117382 | − | 0.203312i | ||||
\(999\) | 3.77775 | − | 6.54326i | 0.119523 | − | 0.207020i |
(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 | 403.2.h.a.222.1 | yes | 30 | |
31.25 | even | 3 | inner | 403.2.h.a.118.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.h.a.118.1 | ✓ | 30 | 31.25 | even | 3 | inner | |
403.2.h.a.222.1 | yes | 30 | 1.1 | even | 1 | trivial |