Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,2,Mod(5,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("294.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.p (of order \(42\), degree \(12\), 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: | \(2.34760181943\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.13 | ||
Character | \(\chi\) | \(=\) | 294.101 |
Dual form | 294.2.p.a.131.13 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.930874 | + | 0.365341i | 0.658227 | + | 0.258335i | ||||
\(3\) | −0.332952 | + | 1.69975i | −0.192230 | + | 0.981350i | ||||
\(4\) | 0.733052 | + | 0.680173i | 0.366526 | + | 0.340086i | ||||
\(5\) | 2.77284 | + | 1.89049i | 1.24005 | + | 0.845452i | 0.992359 | − | 0.123387i | \(-0.0393756\pi\) |
0.247692 | + | 0.968839i | \(0.420328\pi\) | |||||||
\(6\) | −0.930924 | + | 1.46061i | −0.380048 | + | 0.596291i | ||||
\(7\) | −2.14704 | + | 1.54603i | −0.811505 | + | 0.584346i | ||||
\(8\) | 0.433884 | + | 0.900969i | 0.153401 | + | 0.318541i | ||||
\(9\) | −2.77829 | − | 1.13187i | −0.926095 | − | 0.377290i | ||||
\(10\) | 1.89049 | + | 2.77284i | 0.597825 | + | 0.876848i | ||||
\(11\) | −0.905407 | − | 6.00699i | −0.272991 | − | 1.81117i | −0.533608 | − | 0.845732i | \(-0.679164\pi\) |
0.260617 | − | 0.965442i | \(-0.416074\pi\) | |||||||
\(12\) | −1.40019 | + | 1.01954i | −0.404201 | + | 0.294315i | ||||
\(13\) | 1.32858 | − | 1.05951i | 0.368482 | − | 0.293855i | −0.421690 | − | 0.906740i | \(-0.638563\pi\) |
0.790172 | + | 0.612886i | \(0.209991\pi\) | |||||||
\(14\) | −2.56345 | + | 0.654760i | −0.685112 | + | 0.174992i | ||||
\(15\) | −4.13657 | + | 4.08368i | −1.06806 | + | 1.05440i | ||||
\(16\) | 0.0747301 | + | 0.997204i | 0.0186825 | + | 0.249301i | ||||
\(17\) | 0.409716 | + | 0.126381i | 0.0993707 | + | 0.0306518i | 0.344042 | − | 0.938954i | \(-0.388204\pi\) |
−0.244671 | + | 0.969606i | \(0.578680\pi\) | |||||||
\(18\) | −2.17272 | − | 2.06865i | −0.512114 | − | 0.487585i | ||||
\(19\) | 0.985050 | − | 0.568719i | 0.225986 | − | 0.130473i | −0.382733 | − | 0.923859i | \(-0.625017\pi\) |
0.608719 | + | 0.793386i | \(0.291684\pi\) | |||||||
\(20\) | 0.746775 | + | 3.27183i | 0.166984 | + | 0.731604i | ||||
\(21\) | −1.91301 | − | 4.16418i | −0.417452 | − | 0.908699i | ||||
\(22\) | 1.35178 | − | 5.92253i | 0.288200 | − | 1.26269i | ||||
\(23\) | 1.51752 | + | 4.91968i | 0.316425 | + | 1.02582i | 0.964463 | + | 0.264217i | \(0.0851134\pi\) |
−0.648038 | + | 0.761608i | \(0.724410\pi\) | |||||||
\(24\) | −1.67588 | + | 0.437514i | −0.342088 | + | 0.0893071i | ||||
\(25\) | 2.28797 | + | 5.82966i | 0.457595 | + | 1.16593i | ||||
\(26\) | 1.62382 | − | 0.500883i | 0.318458 | − | 0.0982313i | ||||
\(27\) | 2.84893 | − | 4.34553i | 0.548276 | − | 0.836297i | ||||
\(28\) | −2.62546 | − | 0.327036i | −0.496166 | − | 0.0618039i | ||||
\(29\) | 7.31668 | − | 1.66998i | 1.35867 | − | 0.310108i | 0.519732 | − | 0.854330i | \(-0.326032\pi\) |
0.838942 | + | 0.544221i | \(0.183175\pi\) | |||||||
\(30\) | −5.34257 | + | 2.29013i | −0.975415 | + | 0.418119i | ||||
\(31\) | −1.31117 | − | 0.757007i | −0.235494 | − | 0.135962i | 0.377610 | − | 0.925965i | \(-0.376746\pi\) |
−0.613104 | + | 0.790002i | \(0.710079\pi\) | |||||||
\(32\) | −0.294755 | + | 0.955573i | −0.0521058 | + | 0.168923i | ||||
\(33\) | 10.5118 | + | 0.461073i | 1.82987 | + | 0.0802625i | ||||
\(34\) | 0.335222 | + | 0.267330i | 0.0574901 | + | 0.0458468i | ||||
\(35\) | −8.87615 | + | 0.227944i | −1.50034 | + | 0.0385296i | ||||
\(36\) | −1.26676 | − | 2.71943i | −0.211127 | − | 0.453239i | ||||
\(37\) | −7.65042 | + | 7.09855i | −1.25772 | + | 1.16699i | −0.279338 | + | 0.960193i | \(0.590115\pi\) |
−0.978383 | + | 0.206802i | \(0.933694\pi\) | |||||||
\(38\) | 1.12473 | − | 0.169526i | 0.182456 | − | 0.0275008i | ||||
\(39\) | 1.35854 | + | 2.61102i | 0.217541 | + | 0.418098i | ||||
\(40\) | −0.500182 | + | 3.31849i | −0.0790857 | + | 0.524700i | ||||
\(41\) | 9.57633 | − | 4.61172i | 1.49557 | − | 0.720229i | 0.505768 | − | 0.862670i | \(-0.331209\pi\) |
0.989803 | + | 0.142441i | \(0.0454951\pi\) | |||||||
\(42\) | −0.259420 | − | 4.57523i | −0.0400294 | − | 0.705973i | ||||
\(43\) | −6.51574 | − | 3.13782i | −0.993642 | − | 0.478513i | −0.134866 | − | 0.990864i | \(-0.543060\pi\) |
−0.858776 | + | 0.512351i | \(0.828775\pi\) | |||||||
\(44\) | 3.42208 | − | 5.01927i | 0.515898 | − | 0.756683i | ||||
\(45\) | −5.56395 | − | 8.39080i | −0.829425 | − | 1.25083i | ||||
\(46\) | −0.384741 | + | 5.13401i | −0.0567270 | + | 0.756969i | ||||
\(47\) | −1.97268 | + | 5.02631i | −0.287745 | + | 0.733163i | 0.711781 | + | 0.702401i | \(0.247889\pi\) |
−0.999527 | + | 0.0307620i | \(0.990207\pi\) | |||||||
\(48\) | −1.71988 | − | 0.204999i | −0.248243 | − | 0.0295890i | ||||
\(49\) | 2.21956 | − | 6.63879i | 0.317080 | − | 0.948399i | ||||
\(50\) | 6.26257i | 0.885661i | ||||||||
\(51\) | −0.351231 | + | 0.654335i | −0.0491822 | + | 0.0916252i | ||||
\(52\) | 1.69457 | + | 0.126990i | 0.234994 | + | 0.0176104i | ||||
\(53\) | 0.516727 | − | 0.556899i | 0.0709779 | − | 0.0764960i | −0.696564 | − | 0.717494i | \(-0.745289\pi\) |
0.767542 | + | 0.640998i | \(0.221479\pi\) | |||||||
\(54\) | 4.23959 | − | 3.00431i | 0.576935 | − | 0.408835i | ||||
\(55\) | 8.84559 | − | 18.3681i | 1.19274 | − | 2.47675i | ||||
\(56\) | −2.32449 | − | 1.26362i | −0.310624 | − | 0.168858i | ||||
\(57\) | 0.638705 | + | 1.86369i | 0.0845985 | + | 0.246852i | ||||
\(58\) | 7.42102 | + | 1.11854i | 0.974427 | + | 0.146871i | ||||
\(59\) | 7.56778 | − | 5.15962i | 0.985240 | − | 0.671726i | 0.0403751 | − | 0.999185i | \(-0.487145\pi\) |
0.944865 | + | 0.327459i | \(0.106192\pi\) | |||||||
\(60\) | −5.80993 | + | 0.179965i | −0.750059 | + | 0.0232334i | ||||
\(61\) | −3.47318 | − | 3.74320i | −0.444695 | − | 0.479267i | 0.470430 | − | 0.882437i | \(-0.344099\pi\) |
−0.915125 | + | 0.403170i | \(0.867908\pi\) | |||||||
\(62\) | −0.943972 | − | 1.18370i | −0.119885 | − | 0.150331i | ||||
\(63\) | 7.71500 | − | 1.86516i | 0.971998 | − | 0.234987i | ||||
\(64\) | −0.623490 | + | 0.781831i | −0.0779362 | + | 0.0977289i | ||||
\(65\) | 5.68693 | − | 0.426176i | 0.705376 | − | 0.0528607i | ||||
\(66\) | 9.61673 | + | 4.26960i | 1.18374 | + | 0.525551i | ||||
\(67\) | 3.86723 | − | 6.69825i | 0.472458 | − | 0.818321i | −0.527045 | − | 0.849837i | \(-0.676700\pi\) |
0.999503 | + | 0.0315162i | \(0.0100336\pi\) | |||||||
\(68\) | 0.214382 | + | 0.371321i | 0.0259977 | + | 0.0450293i | ||||
\(69\) | −8.86748 | + | 0.941385i | −1.06752 | + | 0.113329i | ||||
\(70\) | −8.34585 | − | 3.03063i | −0.997520 | − | 0.362230i | ||||
\(71\) | −13.2764 | − | 3.03025i | −1.57562 | − | 0.359625i | −0.656726 | − | 0.754130i | \(-0.728059\pi\) |
−0.918894 | + | 0.394505i | \(0.870916\pi\) | |||||||
\(72\) | −0.185675 | − | 2.99425i | −0.0218820 | − | 0.352876i | ||||
\(73\) | −1.42554 | + | 0.559484i | −0.166847 | + | 0.0654826i | −0.447294 | − | 0.894387i | \(-0.647612\pi\) |
0.280447 | + | 0.959869i | \(0.409517\pi\) | |||||||
\(74\) | −9.71497 | + | 3.81284i | −1.12934 | + | 0.443234i | ||||
\(75\) | −10.6707 | + | 1.94798i | −1.23215 | + | 0.224934i | ||||
\(76\) | 1.10892 | + | 0.253104i | 0.127202 | + | 0.0290330i | ||||
\(77\) | 11.2309 | + | 11.4974i | 1.27989 | + | 1.31026i | ||||
\(78\) | 0.310720 | + | 2.92686i | 0.0351821 | + | 0.331402i | ||||
\(79\) | −2.37931 | − | 4.12109i | −0.267694 | − | 0.463659i | 0.700572 | − | 0.713581i | \(-0.252928\pi\) |
−0.968266 | + | 0.249923i | \(0.919595\pi\) | |||||||
\(80\) | −1.67799 | + | 2.90636i | −0.187605 | + | 0.324941i | ||||
\(81\) | 6.43775 | + | 6.28931i | 0.715305 | + | 0.698812i | ||||
\(82\) | 10.5992 | − | 0.794300i | 1.17049 | − | 0.0877158i | ||||
\(83\) | −2.83069 | + | 3.54958i | −0.310709 | + | 0.389617i | −0.912527 | − | 0.409016i | \(-0.865872\pi\) |
0.601818 | + | 0.798633i | \(0.294443\pi\) | |||||||
\(84\) | 1.43003 | − | 4.35374i | 0.156029 | − | 0.475031i | ||||
\(85\) | 0.897154 | + | 1.12500i | 0.0973100 | + | 0.122023i | ||||
\(86\) | −4.91896 | − | 5.30138i | −0.530425 | − | 0.571663i | ||||
\(87\) | 0.402450 | + | 12.9925i | 0.0431472 | + | 1.39295i | ||||
\(88\) | 5.01927 | − | 3.42208i | 0.535056 | − | 0.364795i | ||||
\(89\) | −3.81113 | − | 0.574436i | −0.403979 | − | 0.0608901i | −0.0560900 | − | 0.998426i | \(-0.517863\pi\) |
−0.347889 | + | 0.937536i | \(0.613101\pi\) | |||||||
\(90\) | −2.11383 | − | 9.84352i | −0.222817 | − | 1.03760i | ||||
\(91\) | −1.21448 | + | 4.32884i | −0.127312 | + | 0.453785i | ||||
\(92\) | −2.23381 | + | 4.63856i | −0.232891 | + | 0.483603i | ||||
\(93\) | 1.72328 | − | 1.97662i | 0.178696 | − | 0.204966i | ||||
\(94\) | −3.67264 | + | 3.95816i | −0.378803 | + | 0.408253i | ||||
\(95\) | 3.80654 | + | 0.285261i | 0.390543 | + | 0.0292671i | ||||
\(96\) | −1.52609 | − | 0.819169i | −0.155756 | − | 0.0836061i | ||||
\(97\) | − | 4.18668i | − | 0.425093i | −0.977151 | − | 0.212546i | \(-0.931824\pi\) | ||
0.977151 | − | 0.212546i | \(-0.0681757\pi\) | |||||||
\(98\) | 4.49155 | − | 5.36898i | 0.453716 | − | 0.542349i | ||||
\(99\) | −4.28364 | + | 17.7139i | −0.430522 | + | 1.78032i | ||||
\(100\) | −2.28797 | + | 5.82966i | −0.228797 | + | 0.582966i | ||||
\(101\) | −1.00776 | + | 13.4477i | −0.100276 | + | 1.33809i | 0.689315 | + | 0.724462i | \(0.257912\pi\) |
−0.789592 | + | 0.613633i | \(0.789708\pi\) | |||||||
\(102\) | −0.566007 | + | 0.480784i | −0.0560430 | + | 0.0476047i | ||||
\(103\) | −3.36645 | + | 4.93767i | −0.331706 | + | 0.486523i | −0.955469 | − | 0.295090i | \(-0.904650\pi\) |
0.623764 | + | 0.781613i | \(0.285603\pi\) | |||||||
\(104\) | 1.53103 | + | 0.737307i | 0.150130 | + | 0.0722989i | ||||
\(105\) | 2.56788 | − | 15.1631i | 0.250600 | − | 1.47977i | ||||
\(106\) | 0.684466 | − | 0.329621i | 0.0664812 | − | 0.0320157i | ||||
\(107\) | −0.230772 | + | 1.53107i | −0.0223096 | + | 0.148015i | −0.997212 | − | 0.0746170i | \(-0.976227\pi\) |
0.974903 | + | 0.222632i | \(0.0714647\pi\) | |||||||
\(108\) | 5.04412 | − | 1.24773i | 0.485371 | − | 0.120063i | ||||
\(109\) | 0.867689 | − | 0.130783i | 0.0831096 | − | 0.0125268i | −0.107356 | − | 0.994221i | \(-0.534238\pi\) |
0.190465 | + | 0.981694i | \(0.439000\pi\) | |||||||
\(110\) | 14.9447 | − | 13.8667i | 1.42492 | − | 1.32214i | ||||
\(111\) | −9.51853 | − | 15.3673i | −0.903459 | − | 1.45860i | ||||
\(112\) | −1.70216 | − | 2.02550i | −0.160839 | − | 0.191392i | ||||
\(113\) | −11.6053 | − | 9.25491i | −1.09173 | − | 0.870629i | −0.0995028 | − | 0.995037i | \(-0.531725\pi\) |
−0.992231 | + | 0.124409i | \(0.960297\pi\) | |||||||
\(114\) | −0.0863302 | + | 1.96821i | −0.00808557 | + | 0.184340i | ||||
\(115\) | −5.09276 | + | 16.5103i | −0.474902 | + | 1.53960i | ||||
\(116\) | 6.49938 | + | 3.75242i | 0.603453 | + | 0.348404i | ||||
\(117\) | −4.89040 | + | 1.43984i | −0.452118 | + | 0.133113i | ||||
\(118\) | 8.92966 | − | 2.03814i | 0.822042 | − | 0.187626i | ||||
\(119\) | −1.07507 | + | 0.362090i | −0.0985511 | + | 0.0331928i | ||||
\(120\) | −5.47406 | − | 1.95508i | −0.499711 | − | 0.178474i | ||||
\(121\) | −24.7528 | + | 7.63523i | −2.25026 | + | 0.694112i | ||||
\(122\) | −1.86555 | − | 4.75334i | −0.168899 | − | 0.430347i | ||||
\(123\) | 4.65030 | + | 17.8128i | 0.419303 | + | 1.60613i | ||||
\(124\) | −0.446264 | − | 1.44675i | −0.0400756 | − | 0.129922i | ||||
\(125\) | −0.942855 | + | 4.13092i | −0.0843315 | + | 0.369481i | ||||
\(126\) | 7.86311 | + | 1.08238i | 0.700501 | + | 0.0964262i | ||||
\(127\) | −1.72652 | − | 7.56437i | −0.153204 | − | 0.671230i | −0.991942 | − | 0.126694i | \(-0.959563\pi\) |
0.838738 | − | 0.544535i | \(-0.183294\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 7.50293 | − | 10.0304i | 0.660596 | − | 0.883126i | ||||
\(130\) | 5.44951 | + | 1.68095i | 0.477954 | + | 0.147429i | ||||
\(131\) | −0.486322 | − | 6.48952i | −0.0424902 | − | 0.566992i | −0.977302 | − | 0.211849i | \(-0.932051\pi\) |
0.934812 | − | 0.355143i | \(-0.115568\pi\) | |||||||
\(132\) | 7.39210 | + | 7.48784i | 0.643400 | + | 0.651733i | ||||
\(133\) | −1.23568 | + | 2.74398i | −0.107147 | + | 0.237934i | ||||
\(134\) | 6.04705 | − | 4.82236i | 0.522386 | − | 0.416589i | ||||
\(135\) | 16.1148 | − | 6.66358i | 1.38694 | − | 0.573509i | ||||
\(136\) | 0.0639041 | + | 0.423976i | 0.00547973 | + | 0.0363556i | ||||
\(137\) | −2.73960 | − | 4.01825i | −0.234060 | − | 0.343303i | 0.691182 | − | 0.722681i | \(-0.257090\pi\) |
−0.925242 | + | 0.379378i | \(0.876138\pi\) | |||||||
\(138\) | −8.59843 | − | 2.36334i | −0.731947 | − | 0.201181i | ||||
\(139\) | 4.59251 | + | 9.53644i | 0.389531 | + | 0.808870i | 0.999860 | + | 0.0167219i | \(0.00532298\pi\) |
−0.610329 | + | 0.792148i | \(0.708963\pi\) | |||||||
\(140\) | −6.66172 | − | 5.87022i | −0.563018 | − | 0.496124i | ||||
\(141\) | −7.88666 | − | 5.02658i | −0.664176 | − | 0.423315i | ||||
\(142\) | −11.2516 | − | 7.67120i | −0.944212 | − | 0.643753i | ||||
\(143\) | −7.56736 | − | 7.02148i | −0.632814 | − | 0.587166i | ||||
\(144\) | 0.921082 | − | 2.85510i | 0.0767568 | − | 0.237925i | ||||
\(145\) | 23.4450 | + | 9.20150i | 1.94700 | + | 0.764143i | ||||
\(146\) | −1.53140 | −0.126740 | ||||||||
\(147\) | 10.5453 | + | 5.98309i | 0.869759 | + | 0.493477i | ||||
\(148\) | −10.4364 | −0.857866 | ||||||||
\(149\) | 10.4921 | + | 4.11783i | 0.859544 | + | 0.337346i | 0.753845 | − | 0.657052i | \(-0.228197\pi\) |
0.105699 | + | 0.994398i | \(0.466292\pi\) | |||||||
\(150\) | −10.6448 | − | 2.08513i | −0.869143 | − | 0.170251i | ||||
\(151\) | 1.88885 | + | 1.75259i | 0.153712 | + | 0.142624i | 0.753280 | − | 0.657700i | \(-0.228470\pi\) |
−0.599568 | + | 0.800324i | \(0.704661\pi\) | |||||||
\(152\) | 0.939796 | + | 0.640742i | 0.0762275 | + | 0.0519710i | ||||
\(153\) | −0.995262 | − | 0.814866i | −0.0804621 | − | 0.0658780i | ||||
\(154\) | 6.25410 | + | 14.8058i | 0.503970 | + | 1.19309i | ||||
\(155\) | −2.20456 | − | 4.57782i | −0.177075 | − | 0.367699i | ||||
\(156\) | −0.780061 | + | 2.83806i | −0.0624549 | + | 0.227226i | ||||
\(157\) | −0.209978 | − | 0.307981i | −0.0167580 | − | 0.0245795i | 0.817768 | − | 0.575548i | \(-0.195211\pi\) |
−0.834526 | + | 0.550968i | \(0.814259\pi\) | |||||||
\(158\) | −0.709236 | − | 4.70547i | −0.0564238 | − | 0.374347i | ||||
\(159\) | 0.774543 | + | 1.06373i | 0.0614253 | + | 0.0843590i | ||||
\(160\) | −2.62381 | + | 2.09242i | −0.207430 | + | 0.165420i | ||||
\(161\) | −10.8642 | − | 8.21661i | −0.856216 | − | 0.647560i | ||||
\(162\) | 3.69499 | + | 8.20653i | 0.290306 | + | 0.644766i | ||||
\(163\) | −0.372240 | − | 4.96719i | −0.0291561 | − | 0.389060i | −0.992624 | − | 0.121236i | \(-0.961314\pi\) |
0.963468 | − | 0.267825i | \(-0.0863048\pi\) | |||||||
\(164\) | 10.1567 | + | 3.13293i | 0.793106 | + | 0.244641i | ||||
\(165\) | 28.2759 | + | 21.1509i | 2.20128 | + | 1.64660i | ||||
\(166\) | −3.93183 | + | 2.27004i | −0.305169 | + | 0.176189i | ||||
\(167\) | 5.04980 | + | 22.1246i | 0.390765 | + | 1.71205i | 0.661969 | + | 0.749532i | \(0.269721\pi\) |
−0.271203 | + | 0.962522i | \(0.587422\pi\) | |||||||
\(168\) | 2.92178 | − | 3.53033i | 0.225420 | − | 0.272371i | ||||
\(169\) | −2.25020 | + | 9.85878i | −0.173092 | + | 0.758367i | ||||
\(170\) | 0.424130 | + | 1.37500i | 0.0325293 | + | 0.105457i | ||||
\(171\) | −3.38047 | + | 0.465117i | −0.258511 | + | 0.0355684i | ||||
\(172\) | −2.64212 | − | 6.73201i | −0.201460 | − | 0.513311i | ||||
\(173\) | 4.82746 | − | 1.48907i | 0.367025 | − | 0.113212i | −0.105756 | − | 0.994392i | \(-0.533726\pi\) |
0.472781 | + | 0.881180i | \(0.343250\pi\) | |||||||
\(174\) | −4.37208 | + | 12.2414i | −0.331446 | + | 0.928021i | ||||
\(175\) | −13.9252 | − | 8.97923i | −1.05265 | − | 0.678766i | ||||
\(176\) | 5.92253 | − | 1.35178i | 0.446427 | − | 0.101894i | ||||
\(177\) | 6.25035 | + | 14.5812i | 0.469805 | + | 1.09599i | ||||
\(178\) | −3.33782 | − | 1.92709i | −0.250180 | − | 0.144442i | ||||
\(179\) | 1.71014 | − | 5.54414i | 0.127822 | − | 0.414389i | −0.868929 | − | 0.494937i | \(-0.835191\pi\) |
0.996751 | + | 0.0805485i | \(0.0256672\pi\) | |||||||
\(180\) | 1.62853 | − | 9.93534i | 0.121384 | − | 0.740537i | ||||
\(181\) | −19.4926 | − | 15.5449i | −1.44888 | − | 1.15544i | −0.958914 | − | 0.283698i | \(-0.908439\pi\) |
−0.489963 | − | 0.871743i | \(-0.662990\pi\) | |||||||
\(182\) | −2.71203 | + | 3.58590i | −0.201029 | + | 0.265805i | ||||
\(183\) | 7.51889 | − | 4.65723i | 0.555813 | − | 0.344272i | ||||
\(184\) | −3.77405 | + | 3.50181i | −0.278227 | + | 0.258157i | ||||
\(185\) | −34.6331 | + | 5.22010i | −2.54628 | + | 0.383789i | ||||
\(186\) | 2.32630 | − | 1.21040i | 0.170572 | − | 0.0887507i | ||||
\(187\) | 0.388207 | − | 2.57558i | 0.0283885 | − | 0.188345i | ||||
\(188\) | −4.86484 | + | 2.34278i | −0.354805 | + | 0.170865i | ||||
\(189\) | 0.601570 | + | 13.7346i | 0.0437578 | + | 0.999042i | ||||
\(190\) | 3.43919 | + | 1.65623i | 0.249505 | + | 0.120155i | ||||
\(191\) | −10.1992 | + | 14.9595i | −0.737990 | + | 1.08243i | 0.255309 | + | 0.966860i | \(0.417823\pi\) |
−0.993299 | + | 0.115573i | \(0.963130\pi\) | |||||||
\(192\) | −1.12132 | − | 1.32009i | −0.0809246 | − | 0.0952691i | ||||
\(193\) | 0.439303 | − | 5.86210i | 0.0316218 | − | 0.421963i | −0.958818 | − | 0.284020i | \(-0.908332\pi\) |
0.990440 | − | 0.137943i | \(-0.0440491\pi\) | |||||||
\(194\) | 1.52957 | − | 3.89727i | 0.109816 | − | 0.279808i | ||||
\(195\) | −1.16908 | + | 9.80824i | −0.0837196 | + | 0.702383i | ||||
\(196\) | 6.14258 | − | 3.35689i | 0.438756 | − | 0.239778i | ||||
\(197\) | − | 16.3072i | − | 1.16184i | −0.813960 | − | 0.580920i | \(-0.802693\pi\) | ||
0.813960 | − | 0.580920i | \(-0.197307\pi\) | |||||||
\(198\) | −10.4592 | + | 14.9244i | −0.743299 | + | 1.06063i | ||||
\(199\) | 14.1156 | + | 1.05782i | 1.00063 | + | 0.0749867i | 0.564958 | − | 0.825120i | \(-0.308892\pi\) |
0.435670 | + | 0.900106i | \(0.356511\pi\) | |||||||
\(200\) | −4.25963 | + | 4.59079i | −0.301201 | + | 0.324618i | ||||
\(201\) | 10.0977 | + | 8.80352i | 0.712239 | + | 0.620952i | ||||
\(202\) | −5.85109 | + | 12.1499i | −0.411681 | + | 0.854865i | ||||
\(203\) | −13.1274 | + | 14.8974i | −0.921360 | + | 1.04559i | ||||
\(204\) | −0.702531 | + | 0.240764i | −0.0491870 | + | 0.0168568i | ||||
\(205\) | 35.2720 | + | 5.31640i | 2.46350 | + | 0.371313i | ||||
\(206\) | −4.93767 | + | 3.36645i | −0.344024 | + | 0.234551i | ||||
\(207\) | 1.35233 | − | 15.3859i | 0.0939932 | − | 1.06939i | ||||
\(208\) | 1.15583 | + | 1.24569i | 0.0801424 | + | 0.0863730i | ||||
\(209\) | −4.30816 | − | 5.40226i | −0.298002 | − | 0.373682i | ||||
\(210\) | 7.93008 | − | 13.1768i | 0.547228 | − | 0.909285i | ||||
\(211\) | −12.3198 | + | 15.4485i | −0.848130 | + | 1.06352i | 0.149076 | + | 0.988826i | \(0.452370\pi\) |
−0.997206 | + | 0.0746959i | \(0.976201\pi\) | |||||||
\(212\) | 0.757575 | − | 0.0567724i | 0.0520305 | − | 0.00389915i | ||||
\(213\) | 9.57107 | − | 21.5576i | 0.655799 | − | 1.47710i | ||||
\(214\) | −0.774184 | + | 1.34093i | −0.0529221 | + | 0.0916638i | ||||
\(215\) | −12.1351 | − | 21.0186i | −0.827606 | − | 1.43346i | ||||
\(216\) | 5.15129 | + | 0.681341i | 0.350501 | + | 0.0463594i | ||||
\(217\) | 3.98550 | − | 0.401795i | 0.270554 | − | 0.0272756i | ||||
\(218\) | 0.855490 | + | 0.195260i | 0.0579411 | + | 0.0132247i | ||||
\(219\) | −0.476345 | − | 2.60934i | −0.0321884 | − | 0.176323i | ||||
\(220\) | 18.9777 | − | 7.44821i | 1.27948 | − | 0.502158i | ||||
\(221\) | 0.678242 | − | 0.266190i | 0.0456235 | − | 0.0179059i | ||||
\(222\) | −3.24626 | − | 17.7825i | −0.217874 | − | 1.19348i | ||||
\(223\) | 17.9956 | + | 4.10737i | 1.20507 | + | 0.275050i | 0.777472 | − | 0.628918i | \(-0.216502\pi\) |
0.427601 | + | 0.903968i | \(0.359359\pi\) | |||||||
\(224\) | −0.844496 | − | 2.50735i | −0.0564253 | − | 0.167530i | ||||
\(225\) | 0.241766 | − | 18.7862i | 0.0161178 | − | 1.25241i | ||||
\(226\) | −7.42186 | − | 12.8550i | −0.493695 | − | 0.855105i | ||||
\(227\) | −6.80451 | + | 11.7858i | −0.451631 | + | 0.782248i | −0.998488 | − | 0.0549784i | \(-0.982491\pi\) |
0.546856 | + | 0.837226i | \(0.315824\pi\) | |||||||
\(228\) | −0.799430 | + | 1.80061i | −0.0529435 | + | 0.119249i | ||||
\(229\) | −4.98636 | + | 0.373676i | −0.329508 | + | 0.0246932i | −0.238457 | − | 0.971153i | \(-0.576642\pi\) |
−0.0910507 | + | 0.995846i | \(0.529023\pi\) | |||||||
\(230\) | −10.7726 | + | 13.5084i | −0.710325 | + | 0.890720i | ||||
\(231\) | −23.2821 | + | 15.2617i | −1.53185 | + | 1.00414i | ||||
\(232\) | 4.67919 | + | 5.86752i | 0.307204 | + | 0.385222i | ||||
\(233\) | 8.02854 | + | 8.65271i | 0.525967 | + | 0.566858i | 0.939026 | − | 0.343847i | \(-0.111730\pi\) |
−0.413059 | + | 0.910704i | \(0.635540\pi\) | |||||||
\(234\) | −5.07838 | − | 0.446358i | −0.331984 | − | 0.0291793i | ||||
\(235\) | −14.9721 | + | 10.2078i | −0.976673 | + | 0.665884i | ||||
\(236\) | 9.05701 | + | 1.36512i | 0.589561 | + | 0.0888620i | ||||
\(237\) | 7.79701 | − | 2.67211i | 0.506470 | − | 0.173572i | ||||
\(238\) | −1.13304 | − | 0.0557051i | −0.0734438 | − | 0.00361083i | ||||
\(239\) | 10.6935 | − | 22.2053i | 0.691706 | − | 1.43634i | −0.198182 | − | 0.980165i | \(-0.563504\pi\) |
0.889889 | − | 0.456178i | \(-0.150782\pi\) | |||||||
\(240\) | −4.38139 | − | 3.81983i | −0.282817 | − | 0.246569i | ||||
\(241\) | −3.28369 | + | 3.53898i | −0.211521 | + | 0.227966i | −0.829897 | − | 0.557917i | \(-0.811601\pi\) |
0.618375 | + | 0.785883i | \(0.287791\pi\) | |||||||
\(242\) | −25.8312 | − | 1.93578i | −1.66049 | − | 0.124437i | ||||
\(243\) | −12.8337 | + | 8.84851i | −0.823282 | + | 0.567632i | ||||
\(244\) | − | 5.10632i | − | 0.326899i | ||||||
\(245\) | 18.7050 | − | 14.2122i | 1.19502 | − | 0.907986i | ||||
\(246\) | −2.17891 | + | 18.2804i | −0.138922 | + | 1.16552i | ||||
\(247\) | 0.706157 | − | 1.79926i | 0.0449317 | − | 0.114484i | ||||
\(248\) | 0.113142 | − | 1.50978i | 0.00718455 | − | 0.0958712i | ||||
\(249\) | −5.09090 | − | 5.99331i | −0.322623 | − | 0.379810i | ||||
\(250\) | −2.38687 | + | 3.50090i | −0.150959 | + | 0.221416i | ||||
\(251\) | −10.0433 | − | 4.83659i | −0.633927 | − | 0.305283i | 0.0891840 | − | 0.996015i | \(-0.471574\pi\) |
−0.723111 | + | 0.690732i | \(0.757288\pi\) | |||||||
\(252\) | 6.92412 | + | 3.88028i | 0.436179 | + | 0.244434i | ||||
\(253\) | 28.1785 | − | 13.5700i | 1.77157 | − | 0.853141i | ||||
\(254\) | 1.15640 | − | 7.67225i | 0.0725593 | − | 0.481400i | ||||
\(255\) | −2.21092 | + | 1.15037i | −0.138453 | + | 0.0720387i | ||||
\(256\) | −0.988831 | + | 0.149042i | −0.0618019 | + | 0.00931514i | ||||
\(257\) | 3.17561 | − | 2.94653i | 0.198089 | − | 0.183800i | −0.574891 | − | 0.818230i | \(-0.694956\pi\) |
0.772980 | + | 0.634430i | \(0.218765\pi\) | |||||||
\(258\) | 10.6488 | − | 6.59589i | 0.662965 | − | 0.410642i | ||||
\(259\) | 5.45116 | − | 27.0687i | 0.338719 | − | 1.68197i | ||||
\(260\) | 4.45869 | + | 3.55568i | 0.276516 | + | 0.220514i | ||||
\(261\) | −22.2180 | − | 3.64183i | −1.37526 | − | 0.225423i | ||||
\(262\) | 1.91818 | − | 6.21860i | 0.118506 | − | 0.384186i | ||||
\(263\) | 6.47242 | + | 3.73685i | 0.399106 | + | 0.230424i | 0.686098 | − | 0.727509i | \(-0.259322\pi\) |
−0.286992 | + | 0.957933i | \(0.592655\pi\) | |||||||
\(264\) | 4.14549 | + | 9.67087i | 0.255138 | + | 0.595201i | ||||
\(265\) | 2.48561 | − | 0.567325i | 0.152690 | − | 0.0348505i | ||||
\(266\) | −2.15276 | + | 2.10286i | −0.131994 | + | 0.128934i | ||||
\(267\) | 2.24532 | − | 6.28671i | 0.137411 | − | 0.384740i | ||||
\(268\) | 7.39085 | − | 2.27977i | 0.451468 | − | 0.139259i | ||||
\(269\) | 5.59759 | + | 14.2624i | 0.341291 | + | 0.869595i | 0.993735 | + | 0.111759i | \(0.0356484\pi\) |
−0.652444 | + | 0.757837i | \(0.726256\pi\) | |||||||
\(270\) | 17.4353 | − | 0.315559i | 1.06108 | − | 0.0192043i | ||||
\(271\) | −2.44075 | − | 7.91272i | −0.148265 | − | 0.480663i | 0.850724 | − | 0.525612i | \(-0.176164\pi\) |
−0.998989 | + | 0.0449489i | \(0.985688\pi\) | |||||||
\(272\) | −0.0954091 | + | 0.418015i | −0.00578503 | + | 0.0253459i | ||||
\(273\) | −6.95357 | − | 3.50561i | −0.420849 | − | 0.212169i | ||||
\(274\) | −1.08219 | − | 4.74138i | −0.0653774 | − | 0.286437i | ||||
\(275\) | 32.9471 | − | 19.0220i | 1.98679 | − | 1.14707i | ||||
\(276\) | −7.14063 | − | 5.34133i | −0.429815 | − | 0.321510i | ||||
\(277\) | −11.6478 | − | 3.59286i | −0.699846 | − | 0.215874i | −0.0756416 | − | 0.997135i | \(-0.524100\pi\) |
−0.624204 | + | 0.781261i | \(0.714577\pi\) | |||||||
\(278\) | 0.790992 | + | 10.5550i | 0.0474405 | + | 0.633050i | ||||
\(279\) | 2.78599 | + | 3.58726i | 0.166793 | + | 0.214764i | ||||
\(280\) | −4.05659 | − | 7.89823i | −0.242427 | − | 0.472010i | ||||
\(281\) | −6.45058 | + | 5.14416i | −0.384809 | + | 0.306875i | −0.796719 | − | 0.604349i | \(-0.793433\pi\) |
0.411910 | + | 0.911224i | \(0.364862\pi\) | |||||||
\(282\) | −5.50506 | − | 7.56043i | −0.327822 | − | 0.450217i | ||||
\(283\) | 1.77188 | + | 11.7557i | 0.105327 | + | 0.698801i | 0.977707 | + | 0.209973i | \(0.0673375\pi\) |
−0.872380 | + | 0.488829i | \(0.837424\pi\) | |||||||
\(284\) | −7.67120 | − | 11.2516i | −0.455202 | − | 0.667659i | ||||
\(285\) | −1.75227 | + | 6.37518i | −0.103795 | + | 0.377633i | ||||
\(286\) | −4.47902 | − | 9.30078i | −0.264850 | − | 0.549967i | ||||
\(287\) | −13.4309 | + | 24.7069i | −0.792800 | + | 1.45840i | ||||
\(288\) | 1.90050 | − | 2.32123i | 0.111988 | − | 0.136780i | ||||
\(289\) | −13.8942 | − | 9.47288i | −0.817304 | − | 0.557228i | ||||
\(290\) | 18.4627 | + | 17.1309i | 1.08417 | + | 1.00596i | ||||
\(291\) | 7.11630 | + | 1.39396i | 0.417165 | + | 0.0817156i | ||||
\(292\) | −1.42554 | − | 0.559484i | −0.0834235 | − | 0.0327413i | ||||
\(293\) | 8.17512 | 0.477596 | 0.238798 | − | 0.971069i | \(-0.423247\pi\) | ||||
0.238798 | + | 0.971069i | \(0.423247\pi\) | |||||||
\(294\) | 7.63044 | + | 9.42212i | 0.445016 | + | 0.549509i | ||||
\(295\) | 30.7384 | 1.78966 | ||||||||
\(296\) | −9.71497 | − | 3.81284i | −0.564671 | − | 0.221617i | ||||
\(297\) | −28.6830 | − | 13.1790i | −1.66435 | − | 0.764723i | ||||
\(298\) | 8.26238 | + | 7.66637i | 0.478627 | + | 0.444101i | ||||
\(299\) | 7.22859 | + | 4.92837i | 0.418040 | + | 0.285015i | ||||
\(300\) | −9.14717 | − | 5.82998i | −0.528112 | − | 0.336594i | ||||
\(301\) | 18.8407 | − | 3.33654i | 1.08596 | − | 0.192315i | ||||
\(302\) | 1.11798 | + | 2.32151i | 0.0643327 | + | 0.133588i | ||||
\(303\) | −22.5221 | − | 6.19038i | −1.29386 | − | 0.355628i | ||||
\(304\) | 0.640742 | + | 0.939796i | 0.0367491 | + | 0.0539010i | ||||
\(305\) | −2.55409 | − | 16.9453i | −0.146247 | − | 0.970284i | ||||
\(306\) | −0.628759 | − | 1.12215i | −0.0359438 | − | 0.0641489i | ||||
\(307\) | −12.9594 | + | 10.3347i | −0.739630 | + | 0.589835i | −0.919145 | − | 0.393920i | \(-0.871119\pi\) |
0.179515 | + | 0.983755i | \(0.442547\pi\) | |||||||
\(308\) | 0.412615 | + | 16.0672i | 0.0235109 | + | 0.915514i | ||||
\(309\) | −7.27193 | − | 7.36612i | −0.413686 | − | 0.419044i | ||||
\(310\) | −0.379703 | − | 5.06679i | −0.0215657 | − | 0.287774i | ||||
\(311\) | 15.2442 | + | 4.70221i | 0.864419 | + | 0.266638i | 0.695091 | − | 0.718922i | \(-0.255364\pi\) |
0.169328 | + | 0.985560i | \(0.445840\pi\) | |||||||
\(312\) | −1.76300 | + | 2.35688i | −0.0998100 | + | 0.133432i | ||||
\(313\) | 12.4304 | − | 7.17667i | 0.702605 | − | 0.405649i | −0.105712 | − | 0.994397i | \(-0.533712\pi\) |
0.808317 | + | 0.588748i | \(0.200379\pi\) | |||||||
\(314\) | −0.0829447 | − | 0.363404i | −0.00468084 | − | 0.0205081i | ||||
\(315\) | 24.9185 | + | 9.41334i | 1.40400 | + | 0.530382i | ||||
\(316\) | 1.05889 | − | 4.63932i | 0.0595674 | − | 0.260982i | ||||
\(317\) | −3.98605 | − | 12.9224i | −0.223879 | − | 0.725797i | −0.995921 | − | 0.0902261i | \(-0.971241\pi\) |
0.772043 | − | 0.635571i | \(-0.219235\pi\) | |||||||
\(318\) | 0.332379 | + | 1.27317i | 0.0186389 | + | 0.0713957i | ||||
\(319\) | −16.6561 | − | 42.4392i | −0.932565 | − | 2.37614i | ||||
\(320\) | −3.20688 | + | 0.989191i | −0.179270 | + | 0.0552975i | ||||
\(321\) | −2.52560 | − | 0.902029i | −0.140965 | − | 0.0503463i | ||||
\(322\) | −7.11130 | − | 11.6178i | −0.396297 | − | 0.647432i | ||||
\(323\) | 0.475466 | − | 0.108522i | 0.0264556 | − | 0.00603832i | ||||
\(324\) | 0.441385 | + | 8.98917i | 0.0245214 | + | 0.499398i | ||||
\(325\) | 9.21633 | + | 5.32105i | 0.511230 | + | 0.295159i | ||||
\(326\) | 1.46821 | − | 4.75982i | 0.0813167 | − | 0.263622i | ||||
\(327\) | −0.0666005 | + | 1.51840i | −0.00368301 | + | 0.0839676i | ||||
\(328\) | 8.31002 | + | 6.62702i | 0.458844 | + | 0.365916i | ||||
\(329\) | −3.53542 | − | 13.8415i | −0.194914 | − | 0.763108i | ||||
\(330\) | 18.5940 | + | 30.0192i | 1.02357 | + | 1.65250i | ||||
\(331\) | 12.3479 | − | 11.4572i | 0.678703 | − | 0.629745i | −0.263550 | − | 0.964646i | \(-0.584893\pi\) |
0.942253 | + | 0.334901i | \(0.108703\pi\) | |||||||
\(332\) | −4.48937 | + | 0.676664i | −0.246386 | + | 0.0371368i | ||||
\(333\) | 29.2897 | − | 11.0625i | 1.60506 | − | 0.606223i | ||||
\(334\) | −3.38230 | + | 22.4401i | −0.185071 | + | 1.22787i | ||||
\(335\) | 23.3862 | − | 11.2622i | 1.27772 | − | 0.615319i | ||||
\(336\) | 4.00958 | − | 2.21885i | 0.218740 | − | 0.121048i | ||||
\(337\) | −28.5262 | − | 13.7375i | −1.55392 | − | 0.748329i | −0.557288 | − | 0.830319i | \(-0.688158\pi\) |
−0.996633 | + | 0.0819900i | \(0.973872\pi\) | |||||||
\(338\) | −5.69647 | + | 8.35519i | −0.309847 | + | 0.454462i | ||||
\(339\) | 19.5950 | − | 16.6446i | 1.06426 | − | 0.904012i | ||||
\(340\) | −0.107531 | + | 1.43490i | −0.00583168 | + | 0.0778184i | ||||
\(341\) | −3.36018 | + | 8.56161i | −0.181964 | + | 0.463637i | ||||
\(342\) | −3.31671 | − | 0.802058i | −0.179347 | − | 0.0433703i | ||||
\(343\) | 5.49830 | + | 17.6853i | 0.296880 | + | 0.954915i | ||||
\(344\) | − | 7.23193i | − | 0.389920i | ||||||
\(345\) | −26.3677 | − | 14.1536i | −1.41959 | − | 0.762002i | ||||
\(346\) | 5.03777 | + | 0.377529i | 0.270832 | + | 0.0202961i | ||||
\(347\) | 5.11079 | − | 5.50812i | 0.274362 | − | 0.295692i | −0.580807 | − | 0.814041i | \(-0.697263\pi\) |
0.855169 | + | 0.518350i | \(0.173453\pi\) | |||||||
\(348\) | −8.54215 | + | 9.79794i | −0.457907 | + | 0.525225i | ||||
\(349\) | −10.6400 | + | 22.0941i | −0.569544 | + | 1.18267i | 0.394984 | + | 0.918688i | \(0.370750\pi\) |
−0.964528 | + | 0.263982i | \(0.914964\pi\) | |||||||
\(350\) | −9.68214 | − | 13.4460i | −0.517532 | − | 0.718718i | ||||
\(351\) | −0.819091 | − | 8.79185i | −0.0437199 | − | 0.469274i | ||||
\(352\) | 6.00699 | + | 0.905407i | 0.320173 | + | 0.0482584i | ||||
\(353\) | −0.950181 | + | 0.647823i | −0.0505730 | + | 0.0344801i | −0.588343 | − | 0.808612i | \(-0.700219\pi\) |
0.537770 | + | 0.843092i | \(0.319267\pi\) | |||||||
\(354\) | 0.491171 | + | 15.8568i | 0.0261055 | + | 0.842778i | ||||
\(355\) | −31.0847 | − | 33.5013i | −1.64980 | − | 1.77806i | ||||
\(356\) | −2.40304 | − | 3.01332i | −0.127361 | − | 0.159706i | ||||
\(357\) | −0.257517 | − | 1.94790i | −0.0136292 | − | 0.103094i | ||||
\(358\) | 3.61743 | − | 4.53611i | 0.191187 | − | 0.239741i | ||||
\(359\) | −7.23318 | + | 0.542052i | −0.381752 | + | 0.0286084i | −0.264225 | − | 0.964461i | \(-0.585116\pi\) |
−0.117528 | + | 0.993070i | \(0.537497\pi\) | |||||||
\(360\) | 5.14575 | − | 8.65358i | 0.271205 | − | 0.456084i | ||||
\(361\) | −8.85312 | + | 15.3340i | −0.465954 | + | 0.807055i | ||||
\(362\) | −12.4660 | − | 21.5918i | −0.655199 | − | 1.13484i | ||||
\(363\) | −4.73647 | − | 44.6157i | −0.248600 | − | 2.34172i | ||||
\(364\) | −3.83464 | + | 2.34720i | −0.200990 | + | 0.123027i | ||||
\(365\) | −5.01049 | − | 1.14361i | −0.262261 | − | 0.0598594i | ||||
\(366\) | 8.70062 | − | 1.58833i | 0.454789 | − | 0.0830233i | ||||
\(367\) | −9.99681 | + | 3.92346i | −0.521829 | + | 0.204803i | −0.611611 | − | 0.791159i | \(-0.709478\pi\) |
0.0897819 | + | 0.995961i | \(0.471383\pi\) | |||||||
\(368\) | −4.79252 | + | 1.88093i | −0.249827 | + | 0.0980500i | ||||
\(369\) | −31.8256 | + | 1.97352i | −1.65678 | + | 0.102737i | ||||
\(370\) | −34.1462 | − | 7.79364i | −1.77517 | − | 0.405172i | ||||
\(371\) | −0.248449 | + | 1.99456i | −0.0128988 | + | 0.103553i | ||||
\(372\) | 2.60770 | − | 0.276837i | 0.135203 | − | 0.0143533i | ||||
\(373\) | 12.8851 | + | 22.3177i | 0.667167 | + | 1.15557i | 0.978693 | + | 0.205329i | \(0.0658265\pi\) |
−0.311526 | + | 0.950238i | \(0.600840\pi\) | |||||||
\(374\) | 1.30234 | − | 2.25572i | 0.0673423 | − | 0.116640i | ||||
\(375\) | −6.70760 | − | 2.97801i | −0.346379 | − | 0.153784i | ||||
\(376\) | −5.38447 | + | 0.403510i | −0.277683 | + | 0.0208094i | ||||
\(377\) | 7.95144 | − | 9.97079i | 0.409520 | − | 0.513522i | ||||
\(378\) | −4.45781 | + | 13.0049i | −0.229285 | + | 0.668901i | ||||
\(379\) | 23.9678 | + | 30.0547i | 1.23114 | + | 1.54380i | 0.739780 | + | 0.672849i | \(0.234930\pi\) |
0.491363 | + | 0.870955i | \(0.336499\pi\) | |||||||
\(380\) | 2.59637 | + | 2.79822i | 0.133191 | + | 0.143545i | ||||
\(381\) | 13.4324 | − | 0.416074i | 0.688162 | − | 0.0213161i | ||||
\(382\) | −14.9595 | + | 10.1992i | −0.765396 | + | 0.521838i | ||||
\(383\) | −18.1847 | − | 2.74091i | −0.929197 | − | 0.140054i | −0.333032 | − | 0.942916i | \(-0.608072\pi\) |
−0.596165 | + | 0.802862i | \(0.703310\pi\) | |||||||
\(384\) | −0.561529 | − | 1.63850i | −0.0286554 | − | 0.0836144i | ||||
\(385\) | 9.40579 | + | 53.1125i | 0.479363 | + | 2.70686i | ||||
\(386\) | 2.55060 | − | 5.29638i | 0.129822 | − | 0.269578i | ||||
\(387\) | 14.5510 | + | 16.0927i | 0.739669 | + | 0.818039i | ||||
\(388\) | 2.84767 | − | 3.06905i | 0.144568 | − | 0.155808i | ||||
\(389\) | −13.9768 | − | 1.04741i | −0.708651 | − | 0.0531060i | −0.284472 | − | 0.958684i | \(-0.591818\pi\) |
−0.424179 | + | 0.905578i | \(0.639437\pi\) | |||||||
\(390\) | −4.67162 | + | 8.70312i | −0.236557 | + | 0.440700i | ||||
\(391\) | 2.20746i | 0.111636i | ||||||||
\(392\) | 6.94438 | − | 0.880707i | 0.350744 | − | 0.0444824i | ||||
\(393\) | 11.1925 | + | 1.33407i | 0.564586 | + | 0.0672951i | ||||
\(394\) | 5.95769 | − | 15.1800i | 0.300144 | − | 0.764755i | ||||
\(395\) | 1.19343 | − | 15.9252i | 0.0600478 | − | 0.801282i | ||||
\(396\) | −15.1887 | + | 10.0716i | −0.763259 | + | 0.506118i | ||||
\(397\) | −14.4037 | + | 21.1264i | −0.722902 | + | 1.06030i | 0.272276 | + | 0.962219i | \(0.412224\pi\) |
−0.995178 | + | 0.0980838i | \(0.968729\pi\) | |||||||
\(398\) | 12.7534 | + | 6.14170i | 0.639269 | + | 0.307856i | ||||
\(399\) | −4.25266 | − | 3.01397i | −0.212899 | − | 0.150887i | ||||
\(400\) | −5.64238 | + | 2.71723i | −0.282119 | + | 0.135861i | ||||
\(401\) | −0.0319954 | + | 0.212276i | −0.00159777 | + | 0.0106005i | −0.989616 | − | 0.143740i | \(-0.954087\pi\) |
0.988018 | + | 0.154340i | \(0.0493252\pi\) | |||||||
\(402\) | 6.18342 | + | 11.8841i | 0.308401 | + | 0.592724i | ||||
\(403\) | −2.54406 | + | 0.383455i | −0.126729 | + | 0.0191013i | ||||
\(404\) | −9.88549 | + | 9.17239i | −0.491822 | + | 0.456344i | ||||
\(405\) | 5.96096 | + | 29.6097i | 0.296202 | + | 1.47132i | ||||
\(406\) | −17.6625 | + | 9.07159i | −0.876576 | + | 0.450216i | ||||
\(407\) | 49.5676 | + | 39.5289i | 2.45698 | + | 1.95937i | ||||
\(408\) | −0.741929 | − | 0.0325427i | −0.0367310 | − | 0.00161111i | ||||
\(409\) | 0.139722 | − | 0.452967i | 0.00690880 | − | 0.0223978i | −0.952053 | − | 0.305934i | \(-0.901031\pi\) |
0.958962 | + | 0.283536i | \(0.0915076\pi\) | |||||||
\(410\) | 30.8915 | + | 17.8352i | 1.52562 | + | 0.880818i | ||||
\(411\) | 7.74217 | − | 3.31874i | 0.381893 | − | 0.163702i | ||||
\(412\) | −5.82625 | + | 1.32980i | −0.287039 | + | 0.0655147i | ||||
\(413\) | −8.27137 | + | 22.7779i | −0.407007 | + | 1.12083i | ||||
\(414\) | 6.87995 | − | 13.8283i | 0.338131 | − | 0.679623i | ||||
\(415\) | −14.5595 | + | 4.49101i | −0.714697 | + | 0.220455i | ||||
\(416\) | 0.620831 | + | 1.58185i | 0.0304387 | + | 0.0775567i | ||||
\(417\) | −17.7386 | + | 4.63093i | −0.868664 | + | 0.226777i | ||||
\(418\) | −2.03668 | − | 6.60277i | −0.0996175 | − | 0.322952i | ||||
\(419\) | −1.08908 | + | 4.77159i | −0.0532053 | + | 0.233107i | −0.994538 | − | 0.104371i | \(-0.966717\pi\) |
0.941333 | + | 0.337479i | \(0.109574\pi\) | |||||||
\(420\) | 12.1959 | − | 9.36874i | 0.595100 | − | 0.457148i | ||||
\(421\) | 5.05215 | + | 22.1349i | 0.246227 | + | 1.07879i | 0.935233 | + | 0.354033i | \(0.115190\pi\) |
−0.689006 | + | 0.724755i | \(0.741953\pi\) | |||||||
\(422\) | −17.1122 | + | 9.87971i | −0.833007 | + | 0.480937i | ||||
\(423\) | 11.1698 | − | 11.7317i | 0.543094 | − | 0.570416i | ||||
\(424\) | 0.725948 | + | 0.223925i | 0.0352552 | + | 0.0108748i | ||||
\(425\) | 0.200663 | + | 2.67766i | 0.00973358 | + | 0.129886i | ||||
\(426\) | 16.7853 | − | 16.5707i | 0.813252 | − | 0.802854i | ||||
\(427\) | 13.2442 | + | 2.66714i | 0.640930 | + | 0.129072i | ||||
\(428\) | −1.21056 | + | 0.965392i | −0.0585148 | + | 0.0466640i | ||||
\(429\) | 14.4543 | − | 10.5248i | 0.697861 | − | 0.508141i | ||||
\(430\) | −3.61728 | − | 23.9991i | −0.174441 | − | 1.15734i | ||||
\(431\) | −2.58118 | − | 3.78590i | −0.124331 | − | 0.182360i | 0.759027 | − | 0.651059i | \(-0.225675\pi\) |
−0.883358 | + | 0.468699i | \(0.844723\pi\) | |||||||
\(432\) | 4.54628 | + | 2.51622i | 0.218733 | + | 0.121062i | ||||
\(433\) | 1.13243 | + | 2.35152i | 0.0544212 | + | 0.113007i | 0.926406 | − | 0.376526i | \(-0.122882\pi\) |
−0.871985 | + | 0.489533i | \(0.837167\pi\) | |||||||
\(434\) | 3.85679 | + | 1.08205i | 0.185132 | + | 0.0519399i | ||||
\(435\) | −23.4463 | + | 36.7870i | −1.12416 | + | 1.76380i | ||||
\(436\) | 0.725016 | + | 0.494308i | 0.0347220 | + | 0.0236730i | ||||
\(437\) | 4.29275 | + | 3.98309i | 0.205350 | + | 0.190537i | ||||
\(438\) | 0.509883 | − | 2.60300i | 0.0243632 | − | 0.124376i | ||||
\(439\) | 21.0009 | + | 8.24225i | 1.00232 | + | 0.393381i | 0.809034 | − | 0.587762i | \(-0.199991\pi\) |
0.193284 | + | 0.981143i | \(0.438086\pi\) | |||||||
\(440\) | 20.3870 | 0.971912 | ||||||||
\(441\) | −13.6808 | + | 15.9322i | −0.651468 | + | 0.758677i | ||||
\(442\) | 0.728608 | 0.0346564 | ||||||||
\(443\) | 21.2792 | + | 8.35146i | 1.01100 | + | 0.396790i | 0.812281 | − | 0.583266i | \(-0.198226\pi\) |
0.198722 | + | 0.980056i | \(0.436321\pi\) | |||||||
\(444\) | 3.47482 | − | 17.7392i | 0.164908 | − | 0.841867i | ||||
\(445\) | −9.48169 | − | 8.79772i | −0.449475 | − | 0.417052i | ||||
\(446\) | 15.2510 | + | 10.3980i | 0.722157 | + | 0.492358i | ||||
\(447\) | −10.4926 | + | 16.4628i | −0.496285 | + | 0.778665i | ||||
\(448\) | 0.129920 | − | 2.64256i | 0.00613815 | − | 0.124849i | ||||
\(449\) | −12.1067 | − | 25.1398i | −0.571349 | − | 1.18642i | −0.963795 | − | 0.266644i | \(-0.914085\pi\) |
0.392446 | − | 0.919775i | \(-0.371629\pi\) | |||||||
\(450\) | 7.08841 | − | 17.3992i | 0.334151 | − | 0.820207i | ||||
\(451\) | −36.3730 | − | 53.3494i | −1.71274 | − | 2.51212i | ||||
\(452\) | −2.21234 | − | 14.6779i | −0.104060 | − | 0.690392i | ||||
\(453\) | −3.60786 | + | 2.62703i | −0.169512 | + | 0.123429i | ||||
\(454\) | −10.6400 | + | 8.48508i | −0.499358 | + | 0.398225i | ||||
\(455\) | −11.5512 | + | 9.70720i | −0.541528 | + | 0.455080i | ||||
\(456\) | −1.40201 | + | 1.38408i | −0.0656550 | + | 0.0648155i | ||||
\(457\) | 0.687015 | + | 9.16758i | 0.0321372 | + | 0.428841i | 0.989947 | + | 0.141439i | \(0.0451728\pi\) |
−0.957810 | + | 0.287403i | \(0.907208\pi\) | |||||||
\(458\) | −4.77819 | − | 1.47388i | −0.223270 | − | 0.0688697i | ||||
\(459\) | 1.71644 | − | 1.42038i | 0.0801166 | − | 0.0662978i | ||||
\(460\) | −14.9631 | + | 8.63897i | −0.697660 | + | 0.402794i | ||||
\(461\) | 4.53757 | + | 19.8804i | 0.211336 | + | 0.925923i | 0.963660 | + | 0.267130i | \(0.0860753\pi\) |
−0.752325 | + | 0.658792i | \(0.771068\pi\) | |||||||
\(462\) | −27.2484 | + | 5.70078i | −1.26771 | + | 0.265224i | ||||
\(463\) | 4.81201 | − | 21.0828i | 0.223633 | − | 0.979800i | −0.731085 | − | 0.682287i | \(-0.760986\pi\) |
0.954718 | − | 0.297513i | \(-0.0961572\pi\) | |||||||
\(464\) | 2.21209 | + | 7.17142i | 0.102694 | + | 0.332925i | ||||
\(465\) | 8.51515 | − | 2.22300i | 0.394881 | − | 0.103089i | ||||
\(466\) | 4.31237 | + | 10.9877i | 0.199767 | + | 0.508997i | ||||
\(467\) | 28.9116 | − | 8.91806i | 1.33787 | − | 0.412679i | 0.458449 | − | 0.888721i | \(-0.348405\pi\) |
0.879422 | + | 0.476042i | \(0.157929\pi\) | |||||||
\(468\) | −4.56426 | − | 2.27084i | −0.210983 | − | 0.104970i | ||||
\(469\) | 2.05260 | + | 20.3603i | 0.0947805 | + | 0.940150i | ||||
\(470\) | −17.6665 | + | 4.03226i | −0.814894 | + | 0.185994i | ||||
\(471\) | 0.593402 | − | 0.254366i | 0.0273425 | − | 0.0117206i | ||||
\(472\) | 7.93219 | + | 4.57965i | 0.365109 | + | 0.210796i | ||||
\(473\) | −12.9494 | + | 41.9810i | −0.595415 | + | 1.93029i | ||||
\(474\) | 8.23426 | + | 0.361174i | 0.378212 | + | 0.0165893i | ||||
\(475\) | 5.56921 | + | 4.44130i | 0.255533 | + | 0.203781i | ||||
\(476\) | −1.03436 | − | 0.465799i | −0.0474099 | − | 0.0213499i | ||||
\(477\) | −2.06595 | + | 0.962358i | −0.0945935 | + | 0.0440634i | ||||
\(478\) | 18.0668 | − | 16.7636i | 0.826358 | − | 0.766748i | ||||
\(479\) | 25.7583 | − | 3.88244i | 1.17693 | − | 0.177393i | 0.468687 | − | 0.883364i | \(-0.344727\pi\) |
0.708241 | + | 0.705971i | \(0.249489\pi\) | |||||||
\(480\) | −2.68298 | − | 5.15648i | −0.122461 | − | 0.235360i | ||||
\(481\) | −2.64323 | + | 17.5367i | −0.120521 | + | 0.799604i | ||||
\(482\) | −4.34964 | + | 2.09467i | −0.198121 | + | 0.0954098i | ||||
\(483\) | 17.5834 | − | 15.7306i | 0.800073 | − | 0.715767i | ||||
\(484\) | −23.3384 | − | 11.2392i | −1.06084 | − | 0.510871i | ||||
\(485\) | 7.91487 | − | 11.6090i | 0.359396 | − | 0.527137i | ||||
\(486\) | −15.1793 | + | 3.54817i | −0.688546 | + | 0.160948i | ||||
\(487\) | 1.37208 | − | 18.3091i | 0.0621747 | − | 0.829664i | −0.875737 | − | 0.482789i | \(-0.839624\pi\) |
0.937911 | − | 0.346875i | \(-0.112757\pi\) | |||||||
\(488\) | 1.86555 | − | 4.75334i | 0.0844494 | − | 0.215174i | ||||
\(489\) | 8.56691 | + | 1.02112i | 0.387409 | + | 0.0461768i | ||||
\(490\) | 22.6043 | − | 6.39607i | 1.02116 | − | 0.288945i | ||||
\(491\) | − | 5.08507i | − | 0.229486i | −0.993395 | − | 0.114743i | \(-0.963396\pi\) | ||
0.993395 | − | 0.114743i | \(-0.0366045\pi\) | |||||||
\(492\) | −8.70689 | + | 16.2207i | −0.392537 | + | 0.731287i | ||||
\(493\) | 3.20881 | + | 0.240467i | 0.144518 | + | 0.0108301i | ||||
\(494\) | 1.31469 | − | 1.41689i | 0.0591505 | − | 0.0637491i | ||||
\(495\) | −45.3658 | + | 41.0197i | −2.03904 | + | 1.84370i | ||||
\(496\) | 0.656906 | − | 1.36408i | 0.0294960 | − | 0.0612490i | ||||
\(497\) | 33.1898 | − | 14.0197i | 1.48877 | − | 0.628869i | ||||
\(498\) | −2.54939 | − | 7.43893i | −0.114241 | − | 0.333346i | ||||
\(499\) | 12.8591 | + | 1.93820i | 0.575653 | + | 0.0867657i | 0.430415 | − | 0.902631i | \(-0.358367\pi\) |
0.145238 | + | 0.989397i | \(0.453605\pi\) | |||||||
\(500\) | −3.50090 | + | 2.38687i | −0.156565 | + | 0.106744i | ||||
\(501\) | −39.2876 | + | 1.21695i | −1.75524 | + | 0.0543694i | ||||
\(502\) | −7.58203 | − | 8.17148i | −0.338402 | − | 0.364711i | ||||
\(503\) | −14.3350 | − | 17.9755i | −0.639167 | − | 0.801490i | 0.351732 | − | 0.936101i | \(-0.385593\pi\) |
−0.990899 | + | 0.134611i | \(0.957022\pi\) | |||||||
\(504\) | 5.02786 | + | 6.14171i | 0.223959 | + | 0.273574i | ||||
\(505\) | −28.2170 | + | 35.3831i | −1.25564 | + | 1.57453i | ||||
\(506\) | 31.1883 | − | 2.33724i | 1.38649 | − | 0.103903i | ||||
\(507\) | −16.0082 | − | 7.10727i | −0.710950 | − | 0.315645i | ||||
\(508\) | 3.87945 | − | 6.71941i | 0.172123 | − | 0.298126i | ||||
\(509\) | 19.0633 | + | 33.0186i | 0.844967 | + | 1.46353i | 0.885650 | + | 0.464353i | \(0.153713\pi\) |
−0.0406832 | + | 0.999172i | \(0.512953\pi\) | |||||||
\(510\) | −2.47836 | + | 0.263107i | −0.109744 | + | 0.0116506i | ||||
\(511\) | 2.19571 | − | 3.40517i | 0.0971327 | − | 0.150636i | ||||
\(512\) | −0.974928 | − | 0.222521i | −0.0430861 | − | 0.00983413i | ||||
\(513\) | 0.334952 | − | 5.90080i | 0.0147885 | − | 0.260527i | ||||
\(514\) | 4.03258 | − | 1.58267i | 0.177869 | − | 0.0698086i | ||||
\(515\) | −18.6692 | + | 7.32713i | −0.822664 | + | 0.322872i | ||||
\(516\) | 12.3224 | − | 2.24950i | 0.542465 | − | 0.0990288i | ||||
\(517\) | 31.9791 | + | 7.29901i | 1.40644 | + | 0.321010i | ||||
\(518\) | 14.9636 | − | 23.2060i | 0.657465 | − | 1.01961i | ||||
\(519\) | 0.923738 | + | 8.70125i | 0.0405476 | + | 0.381942i | ||||
\(520\) | 2.85144 | + | 4.93883i | 0.125044 | + | 0.216582i | ||||
\(521\) | −17.7836 | + | 30.8021i | −0.779114 | + | 1.34946i | 0.153339 | + | 0.988174i | \(0.450997\pi\) |
−0.932453 | + | 0.361291i | \(0.882336\pi\) | |||||||
\(522\) | −19.3517 | − | 11.5072i | −0.847000 | − | 0.503658i | ||||
\(523\) | 34.7022 | − | 2.60057i | 1.51742 | − | 0.113715i | 0.710215 | − | 0.703985i | \(-0.248598\pi\) |
0.807206 | + | 0.590269i | \(0.200979\pi\) | |||||||
\(524\) | 4.05750 | − | 5.08794i | 0.177253 | − | 0.222268i | ||||
\(525\) | 19.8989 | − | 20.6797i | 0.868458 | − | 0.902537i | ||||
\(526\) | 4.65978 | + | 5.84318i | 0.203176 | + | 0.254775i | ||||
\(527\) | −0.441538 | − | 0.475865i | −0.0192337 | − | 0.0207290i | ||||
\(528\) | 0.325765 | + | 10.5169i | 0.0141771 | + | 0.457689i | ||||
\(529\) | −2.89690 | + | 1.97507i | −0.125952 | + | 0.0858726i | ||||
\(530\) | 2.52106 | + | 0.379988i | 0.109508 | + | 0.0165056i | ||||
\(531\) | −26.8655 | + | 5.76918i | −1.16586 | + | 0.250361i | ||||
\(532\) | −2.77220 | + | 1.17100i | −0.120190 | + | 0.0507694i | ||||
\(533\) | 7.83678 | − | 16.2732i | 0.339448 | − | 0.704872i | ||||
\(534\) | 4.38690 | − | 5.03182i | 0.189840 | − | 0.217748i | ||||
\(535\) | −3.53437 | + | 3.80915i | −0.152804 | + | 0.164684i | ||||
\(536\) | 7.71284 | + | 0.577998i | 0.333144 | + | 0.0249657i | ||||
\(537\) | 8.85425 | + | 4.75274i | 0.382089 | + | 0.205096i | ||||
\(538\) | 15.3215i | 0.660559i | ||||||||
\(539\) | −41.8887 | − | 7.32207i | −1.80428 | − | 0.315384i | ||||
\(540\) | 16.3454 | + | 6.07609i | 0.703392 | + | 0.261473i | ||||
\(541\) | 7.44789 | − | 18.9769i | 0.320210 | − | 0.815881i | −0.676621 | − | 0.736331i | \(-0.736556\pi\) |
0.996831 | − | 0.0795499i | \(-0.0253483\pi\) | |||||||
\(542\) | 0.618810 | − | 8.25745i | 0.0265802 | − | 0.354688i | ||||
\(543\) | 32.9125 | − | 27.9569i | 1.41241 | − | 1.19974i | ||||
\(544\) | −0.241532 | + | 0.354262i | −0.0103556 | + | 0.0151889i | ||||
\(545\) | 2.65320 | + | 1.27772i | 0.113651 | + | 0.0547313i | ||||
\(546\) | −5.19215 | − | 5.80370i | −0.222204 | − | 0.248376i | ||||
\(547\) | 11.1668 | − | 5.37764i | 0.477457 | − | 0.229931i | −0.179647 | − | 0.983731i | \(-0.557496\pi\) |
0.657104 | + | 0.753800i | \(0.271781\pi\) | |||||||
\(548\) | 0.724839 | − | 4.80899i | 0.0309636 | − | 0.205430i | ||||
\(549\) | 5.41268 | + | 14.3309i | 0.231008 | + | 0.611626i | ||||
\(550\) | 37.6192 | − | 5.67018i | 1.60409 | − | 0.241777i | ||||
\(551\) | 6.25755 | − | 5.80615i | 0.266580 | − | 0.247350i | ||||
\(552\) | −4.69561 | − | 7.58087i | −0.199859 | − | 0.322663i | ||||
\(553\) | 11.4798 | + | 5.16965i | 0.488172 | + | 0.219836i | ||||
\(554\) | −9.52997 | − | 7.59990i | −0.404890 | − | 0.322889i | ||||
\(555\) | 2.65830 | − | 60.6056i | 0.112839 | − | 2.57256i | ||||
\(556\) | −3.11988 | + | 10.1144i | −0.132312 | + | 0.428946i | ||||
\(557\) | −29.4192 | − | 16.9852i | −1.24653 | − | 0.719686i | −0.276117 | − | 0.961124i | \(-0.589048\pi\) |
−0.970416 | + | 0.241438i | \(0.922381\pi\) | |||||||
\(558\) | 1.28283 | + | 4.35712i | 0.0543064 | + | 0.184452i | ||||
\(559\) | −11.9812 | + | 2.73464i | −0.506752 | + | 0.115663i | ||||
\(560\) | −0.890622 | − | 8.83430i | −0.0376357 | − | 0.373317i | ||||
\(561\) | 4.24859 | + | 1.51740i | 0.179376 | + | 0.0640646i | ||||
\(562\) | −7.88405 | + | 2.43191i | −0.332568 | + | 0.102584i | ||||
\(563\) | 2.58971 | + | 6.59847i | 0.109143 | + | 0.278092i | 0.975002 | − | 0.222196i | \(-0.0713226\pi\) |
−0.865859 | + | 0.500288i | \(0.833227\pi\) | |||||||
\(564\) | −2.36238 | − | 9.04903i | −0.0994743 | − | 0.381033i | ||||
\(565\) | −14.6833 | − | 47.6020i | −0.617730 | − | 2.00263i | ||||
\(566\) | −2.64543 | + | 11.5904i | −0.111196 | + | 0.487180i | ||||
\(567\) | −23.5456 | − | 3.55043i | −0.988822 | − | 0.149104i | ||||
\(568\) | −3.03025 | − | 13.2764i | −0.127147 | − | 0.557066i | ||||
\(569\) | −9.50120 | + | 5.48552i | −0.398311 | + | 0.229965i | −0.685755 | − | 0.727833i | \(-0.740528\pi\) |
0.287444 | + | 0.957797i | \(0.407194\pi\) | |||||||
\(570\) | −3.96025 | + | 5.29431i | −0.165877 | + | 0.221754i | ||||
\(571\) | 14.3344 | + | 4.42157i | 0.599875 | + | 0.185037i | 0.579796 | − | 0.814761i | \(-0.303132\pi\) |
0.0200787 | + | 0.999798i | \(0.493608\pi\) | |||||||
\(572\) | −0.771445 | − | 10.2942i | −0.0322557 | − | 0.430423i | ||||
\(573\) | −22.0316 | − | 22.3169i | −0.920382 | − | 0.932303i | ||||
\(574\) | −21.5289 | + | 18.0921i | −0.898599 | + | 0.755150i | ||||
\(575\) | −25.2080 | + | 20.1027i | −1.05125 | + | 0.838342i | ||||
\(576\) | 2.61716 | − | 1.46644i | 0.109048 | − | 0.0611018i | ||||
\(577\) | −6.36460 | − | 42.2264i | −0.264962 | − | 1.75791i | −0.585502 | − | 0.810671i | \(-0.699102\pi\) |
0.320540 | − | 0.947235i | \(-0.396136\pi\) | |||||||
\(578\) | −9.47288 | − | 13.8942i | −0.394020 | − | 0.577921i | ||||
\(579\) | 9.81782 | + | 2.69850i | 0.408015 | + | 0.112146i | ||||
\(580\) | 10.9278 | + | 22.6919i | 0.453753 | + | 0.942228i | ||||
\(581\) | 0.589848 | − | 11.9974i | 0.0244710 | − | 0.497737i | ||||
\(582\) | 6.11510 | + | 3.89748i | 0.253479 | + | 0.161556i | ||||
\(583\) | −3.81313 | − | 2.59975i | −0.157924 | − | 0.107671i | ||||
\(584\) | −1.12260 | − | 1.04162i | −0.0464534 | − | 0.0431024i | ||||
\(585\) | −16.2823 | − | 5.25281i | −0.673190 | − | 0.217177i | ||||
\(586\) | 7.61001 | + | 2.98671i | 0.314366 | + | 0.123380i | ||||
\(587\) | 15.0233 | 0.620076 | 0.310038 | − | 0.950724i | \(-0.399658\pi\) | ||||
0.310038 | + | 0.950724i | \(0.399658\pi\) | |||||||
\(588\) | 3.66069 | + | 11.5585i | 0.150964 | + | 0.476665i | ||||
\(589\) | −1.72210 | −0.0709578 | ||||||||
\(590\) | 28.6136 | + | 11.2300i | 1.17800 | + | 0.462332i | ||||
\(591\) | 27.7181 | + | 5.42952i | 1.14017 | + | 0.223340i | ||||
\(592\) | −7.65042 | − | 7.09855i | −0.314430 | − | 0.291749i | ||||
\(593\) | 16.2612 | + | 11.0867i | 0.667766 | + | 0.455275i | 0.849160 | − | 0.528136i | \(-0.177109\pi\) |
−0.181394 | + | 0.983410i | \(0.558061\pi\) | |||||||
\(594\) | −21.8854 | − | 22.7470i | −0.897969 | − | 0.933322i | ||||
\(595\) | −3.66551 | − | 1.02838i | −0.150271 | − | 0.0421595i | ||||
\(596\) | 4.89039 | + | 10.1550i | 0.200318 | + | 0.415965i | ||||
\(597\) | −6.49784 | + | 23.6407i | −0.265939 | + | 0.967551i | ||||
\(598\) | 4.92837 | + | 7.22859i | 0.201536 | + | 0.295599i | ||||
\(599\) | 0.00676468 | + | 0.0448807i | 0.000276397 | + | 0.00183378i | 0.988969 | − | 0.148125i | \(-0.0473239\pi\) |
−0.988692 | + | 0.149959i | \(0.952086\pi\) | |||||||
\(600\) | −6.38493 | − | 8.76881i | −0.260664 | − | 0.357985i | ||||
\(601\) | 29.0556 | − | 23.1711i | 1.18520 | − | 0.945167i | 0.185902 | − | 0.982568i | \(-0.440479\pi\) |
0.999300 | + | 0.0374012i | \(0.0119079\pi\) | |||||||
\(602\) | 18.7573 | + | 3.77740i | 0.764491 | + | 0.153955i | ||||
\(603\) | −18.3258 | + | 14.2324i | −0.746285 | + | 0.579590i | ||||
\(604\) | 0.192556 | + | 2.56948i | 0.00783500 | + | 0.104551i | ||||
\(605\) | −83.0698 | − | 25.6237i | −3.37727 | − | 1.04175i | ||||
\(606\) | −18.7037 | − | 13.9907i | −0.759784 | − | 0.568334i | ||||
\(607\) | −35.5343 | + | 20.5158i | −1.44229 | + | 0.832709i | −0.998003 | − | 0.0631736i | \(-0.979878\pi\) |
−0.444291 | + | 0.895882i | \(0.646544\pi\) | |||||||
\(608\) | 0.253104 | + | 1.10892i | 0.0102647 | + | 0.0449727i | ||||
\(609\) | −20.9510 | − | 27.2733i | −0.848976 | − | 1.10517i | ||||
\(610\) | 3.81327 | − | 16.7070i | 0.154395 | − | 0.676448i | ||||
\(611\) | 2.70455 | + | 8.76794i | 0.109414 | + | 0.354713i | ||||
\(612\) | −0.175329 | − | 1.27429i | −0.00708724 | − | 0.0515101i | ||||
\(613\) | 3.02797 | + | 7.71513i | 0.122298 | + | 0.311611i | 0.978891 | − | 0.204382i | \(-0.0655183\pi\) |
−0.856593 | + | 0.515993i | \(0.827423\pi\) | |||||||
\(614\) | −15.8392 | + | 4.88576i | −0.639219 | + | 0.197173i | ||||
\(615\) | −20.7804 | + | 58.1834i | −0.837947 | + | 2.34618i | ||||
\(616\) | −5.48592 | + | 15.1073i | −0.221034 | + | 0.608690i | ||||
\(617\) | −32.2054 | + | 7.35068i | −1.29654 | + | 0.295927i | −0.814471 | − | 0.580205i | \(-0.802973\pi\) |
−0.482071 | + | 0.876132i | \(0.660115\pi\) | |||||||
\(618\) | −4.07810 | − | 9.51366i | −0.164045 | − | 0.382696i | ||||
\(619\) | −34.8424 | − | 20.1163i | −1.40043 | − | 0.808541i | −0.405997 | − | 0.913875i | \(-0.633076\pi\) |
−0.994437 | + | 0.105334i | \(0.966409\pi\) | |||||||
\(620\) | 1.49765 | − | 4.85526i | 0.0601470 | − | 0.194992i | ||||
\(621\) | 25.7019 | + | 7.42138i | 1.03138 | + | 0.297810i | ||||
\(622\) | 12.4725 | + | 9.94650i | 0.500102 | + | 0.398818i | ||||
\(623\) | 9.07075 | − | 4.65880i | 0.363412 | − | 0.186651i | ||||
\(624\) | −2.50219 | + | 1.54987i | −0.100168 | + | 0.0620443i | ||||
\(625\) | 12.5301 | − | 11.6262i | 0.501204 | − | 0.465050i | ||||
\(626\) | 14.1930 | − | 2.13925i | 0.567267 | − | 0.0855018i | ||||
\(627\) | 10.6169 | − | 5.52409i | 0.423998 | − | 0.220611i | ||||
\(628\) | 0.0555555 | − | 0.368587i | 0.00221691 | − | 0.0147082i | ||||
\(629\) | −4.03162 | + | 1.94152i | −0.160751 | + | 0.0774137i | ||||
\(630\) | 19.7569 | + | 17.8664i | 0.787133 | + | 0.711814i | ||||
\(631\) | 29.6267 | + | 14.2675i | 1.17942 | + | 0.567979i | 0.917742 | − | 0.397176i | \(-0.130010\pi\) |
0.261678 | + | 0.965155i | \(0.415724\pi\) | |||||||
\(632\) | 2.68063 | − | 3.93176i | 0.106630 | − | 0.156397i | ||||
\(633\) | −22.1567 | − | 26.0842i | −0.880651 | − | 1.03675i | ||||
\(634\) | 1.01059 | − | 13.4854i | 0.0401358 | − | 0.535575i | ||||
\(635\) | 9.51300 | − | 24.2387i | 0.377512 | − | 0.961885i | ||||
\(636\) | −0.155737 | + | 1.30659i | −0.00617539 | + | 0.0518097i | ||||
\(637\) | −4.08498 | − | 11.1718i | −0.161853 | − | 0.442644i | ||||
\(638\) | − | 45.5907i | − | 1.80495i | ||||||
\(639\) | 33.4558 | + | 23.4461i | 1.32349 | + | 0.927512i | ||||
\(640\) | −3.34659 | − | 0.250792i | −0.132286 | − | 0.00991344i | ||||
\(641\) | −6.74990 | + | 7.27466i | −0.266605 | + | 0.287332i | −0.852139 | − | 0.523316i | \(-0.824695\pi\) |
0.585533 | + | 0.810648i | \(0.300885\pi\) | |||||||
\(642\) | −2.02147 | − | 1.76238i | −0.0797811 | − | 0.0695556i | ||||
\(643\) | −9.58956 | + | 19.9129i | −0.378175 | + | 0.785289i | 0.621822 | + | 0.783158i | \(0.286393\pi\) |
−0.999998 | + | 0.00213095i | \(0.999322\pi\) | |||||||
\(644\) | −2.37528 | − | 13.4127i | −0.0935992 | − | 0.528535i | ||||
\(645\) | 39.7667 | − | 13.6284i | 1.56581 | − | 0.536618i | ||||
\(646\) | 0.482246 | + | 0.0726869i | 0.0189737 | + | 0.00285983i | ||||
\(647\) | 35.2705 | − | 24.0470i | 1.38663 | − | 0.945387i | 0.386898 | − | 0.922122i | \(-0.373546\pi\) |
0.999729 | − | 0.0232643i | \(-0.00740593\pi\) | |||||||
\(648\) | −2.87324 | + | 8.52904i | −0.112871 | + | 0.335052i | ||||
\(649\) | −37.8457 | − | 40.7880i | −1.48557 | − | 1.60107i | ||||
\(650\) | 6.63524 | + | 8.32033i | 0.260256 | + | 0.326350i | ||||
\(651\) | −0.644030 | + | 6.90813i | −0.0252415 | + | 0.270751i | ||||
\(652\) | 3.10568 | − | 3.89440i | 0.121628 | − | 0.152516i | ||||
\(653\) | 4.00712 | − | 0.300292i | 0.156811 | − | 0.0117513i | 0.00390654 | − | 0.999992i | \(-0.498757\pi\) |
0.152904 | + | 0.988241i | \(0.451137\pi\) | |||||||
\(654\) | −0.616730 | + | 1.38910i | −0.0241160 | + | 0.0543183i | ||||
\(655\) | 10.9199 | − | 18.9138i | 0.426675 | − | 0.739022i | ||||
\(656\) | 5.31446 | + | 9.20491i | 0.207495 | + | 0.359392i | ||||
\(657\) | 4.59382 | + | 0.0591197i | 0.179222 | + | 0.00230648i | ||||
\(658\) | 1.76585 | − | 14.1763i | 0.0688400 | − | 0.552652i | ||||
\(659\) | 26.9459 | + | 6.15023i | 1.04966 | + | 0.239579i | 0.712358 | − | 0.701816i | \(-0.247627\pi\) |
0.337306 | + | 0.941395i | \(0.390484\pi\) | |||||||
\(660\) | 6.34141 | + | 34.7372i | 0.246839 | + | 1.35215i | ||||
\(661\) | 2.38724 | − | 0.936921i | 0.0928527 | − | 0.0364420i | −0.318460 | − | 0.947936i | \(-0.603166\pi\) |
0.411313 | + | 0.911494i | \(0.365070\pi\) | |||||||
\(662\) | 15.6801 | − | 6.15400i | 0.609426 | − | 0.239182i | ||||
\(663\) | 0.226635 | + | 1.24147i | 0.00880176 | + | 0.0482147i | ||||
\(664\) | −4.42625 | − | 1.01026i | −0.171772 | − | 0.0392058i | ||||
\(665\) | −8.61382 | + | 5.27257i | −0.334030 | + | 0.204462i | ||||
\(666\) | 31.3066 | + | 0.402897i | 1.21311 | + | 0.0156119i | ||||
\(667\) | 19.3190 | + | 33.4615i | 0.748035 | + | 1.29563i | ||||
\(668\) | −11.3468 | + | 19.6532i | −0.439021 | + | 0.760406i | ||||
\(669\) | −12.9732 | + | 29.2204i | −0.501571 | + | 1.12973i | ||||
\(670\) | 25.8841 | − | 1.93975i | 0.999990 | − | 0.0749389i | ||||
\(671\) | −19.3407 | + | 24.2525i | −0.746639 | + | 0.936256i | ||||
\(672\) | 4.54305 | − | 0.600602i | 0.175252 | − | 0.0231687i | ||||
\(673\) | 1.16426 | + | 1.45994i | 0.0448790 | + | 0.0562765i | 0.803764 | − | 0.594948i | \(-0.202827\pi\) |
−0.758885 | + | 0.651224i | \(0.774256\pi\) | |||||||
\(674\) | −21.5354 | − | 23.2097i | −0.829514 | − | 0.894003i | ||||
\(675\) | 31.8512 | + | 6.66583i | 1.22595 | + | 0.256568i | ||||
\(676\) | −8.35519 | + | 5.69647i | −0.321353 | + | 0.219095i | ||||
\(677\) | 29.0147 | + | 4.37325i | 1.11512 | + | 0.168078i | 0.680651 | − | 0.732607i | \(-0.261697\pi\) |
0.434472 | + | 0.900685i | \(0.356935\pi\) | |||||||
\(678\) | 24.3215 | − | 8.33518i | 0.934060 | − | 0.320111i | ||||
\(679\) | 6.47275 | + | 8.98897i | 0.248401 | + | 0.344965i | ||||
\(680\) | −0.624326 | + | 1.29643i | −0.0239418 | + | 0.0497156i | ||||
\(681\) | −17.7672 | − | 15.4900i | −0.680842 | − | 0.593580i | ||||
\(682\) | −6.25581 | + | 6.74216i | −0.239547 | + | 0.258171i | ||||
\(683\) | 15.8189 | + | 1.18546i | 0.605293 | + | 0.0453605i | 0.373852 | − | 0.927488i | \(-0.378037\pi\) |
0.231441 | + | 0.972849i | \(0.425656\pi\) | |||||||
\(684\) | −2.79442 | − | 1.95835i | −0.106847 | − | 0.0748793i | ||||
\(685\) | − | 16.3211i | − | 0.623599i | ||||||
\(686\) | −1.34293 | + | 18.4715i | −0.0512732 | + | 0.705245i | ||||
\(687\) | 1.02506 | − | 8.59996i | 0.0391086 | − | 0.328109i | ||||
\(688\) | 2.64212 | − | 6.73201i | 0.100730 | − | 0.256656i | ||||
\(689\) | 0.0964745 | − | 1.28736i | 0.00367538 | − | 0.0490446i | ||||
\(690\) | −19.3742 | − | 22.8084i | −0.737562 | − | 0.868301i | ||||
\(691\) | −10.6751 | + | 15.6576i | −0.406101 | + | 0.595641i | −0.973747 | − | 0.227631i | \(-0.926902\pi\) |
0.567646 | + | 0.823273i | \(0.307854\pi\) | |||||||
\(692\) | 4.55160 | + | 2.19194i | 0.173026 | + | 0.0833249i | ||||
\(693\) | −18.1892 | − | 44.6552i | −0.690950 | − | 1.69631i | ||||
\(694\) | 6.76985 | − | 3.26019i | 0.256980 | − | 0.123755i | ||||
\(695\) | −5.29425 | + | 35.1251i | −0.200822 | + | 1.33237i | ||||
\(696\) | −11.5313 | + | 5.99984i | −0.437091 | + | 0.227424i | ||||
\(697\) | 4.50640 | − | 0.679231i | 0.170692 | − | 0.0257277i | ||||
\(698\) | −17.9763 | + | 16.6796i | −0.680414 | + | 0.631332i | ||||
\(699\) | −17.3805 | + | 10.7656i | −0.657392 | + | 0.407191i | ||||
\(700\) | −4.10048 | − | 16.0538i | −0.154984 | − | 0.606777i | ||||
\(701\) | 18.7410 | + | 14.9454i | 0.707837 | + | 0.564481i | 0.909868 | − | 0.414898i | \(-0.136183\pi\) |
−0.202031 | + | 0.979379i | \(0.564754\pi\) | |||||||
\(702\) | 2.44955 | − | 8.48335i | 0.0924524 | − | 0.320183i | ||||
\(703\) | −3.49897 | + | 11.3434i | −0.131966 | + | 0.427823i | ||||
\(704\) | 5.26096 | + | 3.03742i | 0.198280 | + | 0.114477i | ||||
\(705\) | −12.3657 | − | 28.8475i | −0.465720 | − | 1.08646i | ||||
\(706\) | −1.12117 | + | 0.255901i | −0.0421960 | + | 0.00963096i | ||||
\(707\) | −18.6269 | − | 30.4307i | −0.700535 | − | 1.14447i | ||||
\(708\) | −5.33591 | + | 14.9401i | −0.200536 | + | 0.561484i | ||||
\(709\) | 5.17515 | − | 1.59632i | 0.194357 | − | 0.0599511i | −0.196049 | − | 0.980594i | \(-0.562811\pi\) |
0.390405 | + | 0.920643i | \(0.372335\pi\) | |||||||
\(710\) | −16.6965 | − | 42.5420i | −0.626608 | − | 1.59657i | ||||
\(711\) | 1.94588 | + | 14.1426i | 0.0729761 | + | 0.530390i | ||||
\(712\) | −1.13604 | − | 3.68295i | −0.0425749 | − | 0.138024i | ||||
\(713\) | 1.73450 | − | 7.59934i | 0.0649575 | − | 0.284597i | ||||
\(714\) | 0.471931 | − | 1.90733i | 0.0176616 | − | 0.0713800i | ||||
\(715\) | −7.70902 | − | 33.7754i | −0.288301 | − | 1.26313i | ||||
\(716\) | 5.02460 | − | 2.90095i | 0.187778 | − | 0.108414i | ||||
\(717\) | 34.1830 | + | 25.5696i | 1.27659 | + | 0.954914i | ||||
\(718\) | −6.93121 | − | 2.13799i | −0.258670 | − | 0.0797892i | ||||
\(719\) | −1.80845 | − | 24.1321i | −0.0674438 | − | 0.899976i | −0.923624 | − | 0.383299i | \(-0.874788\pi\) |
0.856181 | − | 0.516677i | \(-0.172831\pi\) | |||||||
\(720\) | 7.95155 | − | 6.17544i | 0.296337 | − | 0.230145i | ||||
\(721\) | −0.405907 | − | 15.8060i | −0.0151168 | − | 0.588647i | ||||
\(722\) | −13.8433 | + | 11.0397i | −0.515194 | + | 0.410853i | ||||
\(723\) | −4.92206 | − | 6.75976i | −0.183053 | − | 0.251398i | ||||
\(724\) | −3.71593 | − | 24.6536i | −0.138101 | − | 0.916242i | ||||
\(725\) | 26.4758 | + | 38.8329i | 0.983287 | + | 1.44222i | ||||
\(726\) | 11.8909 | − | 43.2620i | 0.441312 | − | 1.60560i | ||||
\(727\) | −17.8143 | − | 36.9918i | −0.660696 | − | 1.37195i | −0.914457 | − | 0.404682i | \(-0.867382\pi\) |
0.253762 | − | 0.967267i | \(-0.418332\pi\) | |||||||
\(728\) | −4.42709 | + | 0.784001i | −0.164079 | + | 0.0290570i | ||||
\(729\) | −10.7672 | − | 24.7602i | −0.398786 | − | 0.917044i | ||||
\(730\) | −4.24633 | − | 2.89510i | −0.157164 | − | 0.107152i | ||||
\(731\) | −2.27304 | − | 2.10908i | −0.0840716 | − | 0.0780070i | ||||
\(732\) | 8.67946 | + | 1.70016i | 0.320802 | + | 0.0628397i | ||||
\(733\) | −11.8264 | − | 4.64152i | −0.436818 | − | 0.171438i | 0.136734 | − | 0.990608i | \(-0.456340\pi\) |
−0.573551 | + | 0.819170i | \(0.694435\pi\) | |||||||
\(734\) | −10.7392 | −0.396390 | ||||||||
\(735\) | 17.9293 | + | 36.5258i | 0.661333 | + | 1.34728i | ||||
\(736\) | −5.14841 | −0.189773 | ||||||||
\(737\) | −43.7377 | − | 17.1658i | −1.61110 | − | 0.632310i | ||||
\(738\) | −30.3467 | − | 9.79011i | −1.11708 | − | 0.360379i | ||||
\(739\) | 31.9702 | + | 29.6640i | 1.17604 | + | 1.09121i | 0.994163 | + | 0.107889i | \(0.0344091\pi\) |
0.181881 | + | 0.983321i | \(0.441781\pi\) | |||||||
\(740\) | −28.9384 | − | 19.7299i | −1.06380 | − | 0.725285i | ||||
\(741\) | 2.82317 | + | 1.79936i | 0.103712 | + | 0.0661010i | ||||
\(742\) | −0.959970 | + | 1.76592i | −0.0352416 | + | 0.0648289i | ||||
\(743\) | −6.68687 | − | 13.8854i | −0.245318 | − | 0.509407i | 0.741558 | − | 0.670889i | \(-0.234087\pi\) |
−0.986876 | + | 0.161481i | \(0.948373\pi\) | |||||||
\(744\) | 2.52858 | + | 0.694998i | 0.0927021 | + | 0.0254799i | ||||
\(745\) | 21.3081 | + | 31.2532i | 0.780668 | + | 1.14503i | ||||
\(746\) | 3.84086 | + | 25.4824i | 0.140624 | + | 0.932978i | ||||
\(747\) | 11.8821 | − | 6.65777i | 0.434745 | − | 0.243595i | ||||
\(748\) | 2.03642 | − | 1.62399i | 0.0744588 | − | 0.0593789i | ||||
\(749\) | −1.87161 | − | 3.64406i | −0.0683873 | − | 0.133151i | ||||
\(750\) | −5.15593 | − | 5.22271i | −0.188268 | − | 0.190707i | ||||
\(751\) | 1.03453 | + | 13.8048i | 0.0377505 | + | 0.503745i | 0.983746 | + | 0.179565i | \(0.0574691\pi\) |
−0.945996 | + | 0.324180i | \(0.894912\pi\) | |||||||
\(752\) | −5.15968 | − | 1.59155i | −0.188154 | − | 0.0580378i | ||||
\(753\) | 11.5649 | − | 15.4607i | 0.421449 | − | 0.563419i | ||||
\(754\) | 11.0445 | − | 6.37656i | 0.402218 | − | 0.232221i | ||||
\(755\) | 1.92420 | + | 8.43049i | 0.0700290 | + | 0.306817i | ||||
\(756\) | −8.90089 | + | 10.4773i | −0.323722 | + | 0.381056i | ||||
\(757\) | 0.232315 | − | 1.01784i | 0.00844363 | − | 0.0369940i | −0.970531 | − | 0.240978i | \(-0.922532\pi\) |
0.978974 | + | 0.203984i | \(0.0653890\pi\) | |||||||
\(758\) | 11.3308 | + | 36.7335i | 0.411553 | + | 1.33422i | ||||
\(759\) | 13.6836 | + | 52.4145i | 0.496682 | + | 1.90253i | ||||
\(760\) | 1.39458 | + | 3.55334i | 0.0505869 | + | 0.128893i | ||||
\(761\) | 0.342826 | − | 0.105748i | 0.0124274 | − | 0.00383336i | −0.288535 | − | 0.957469i | \(-0.593168\pi\) |
0.300963 | + | 0.953636i | \(0.402692\pi\) | |||||||
\(762\) | 12.6559 | + | 4.52009i | 0.458473 | + | 0.163745i | ||||
\(763\) | −1.66077 | + | 1.62227i | −0.0601239 | + | 0.0587302i | ||||
\(764\) | −17.6516 | + | 4.02887i | −0.638613 | + | 0.145759i | ||||
\(765\) | −1.21920 | − | 4.14102i | −0.0440804 | − | 0.149719i | ||||
\(766\) | −15.9263 | − | 9.19508i | −0.575442 | − | 0.332232i | ||||
\(767\) | 4.58774 | − | 14.8731i | 0.165654 | − | 0.537036i | ||||
\(768\) | 0.0758988 | − | 1.73039i | 0.00273876 | − | 0.0624400i | ||||
\(769\) | 27.5822 | + | 21.9960i | 0.994639 | + | 0.793198i | 0.978411 | − | 0.206671i | \(-0.0662628\pi\) |
0.0162280 | + | 0.999868i | \(0.494834\pi\) | |||||||
\(770\) | −10.6486 | + | 52.8774i | −0.383748 | + | 1.90557i | ||||
\(771\) | 3.95104 | + | 6.37879i | 0.142293 | + | 0.229726i | ||||
\(772\) | 4.30927 | − | 3.99842i | 0.155094 | − | 0.143906i | ||||
\(773\) | 46.8883 | − | 7.06728i | 1.68646 | − | 0.254192i | 0.765381 | − | 0.643577i | \(-0.222551\pi\) |
0.921075 | + | 0.389385i | \(0.127312\pi\) | |||||||
\(774\) | 7.66582 | + | 20.2964i | 0.275542 | + | 0.729538i | ||||
\(775\) | 1.41316 | − | 9.37572i | 0.0507623 | − | 0.336786i | ||||
\(776\) | 3.77207 | − | 1.81653i | 0.135409 | − | 0.0652097i | ||||
\(777\) | 44.1950 | + | 18.2782i | 1.58549 | + | 0.655725i | ||||
\(778\) | −12.6279 | − | 6.08130i | −0.452734 | − | 0.218025i | ||||
\(779\) | 6.81039 | − | 9.98901i | 0.244008 | − | 0.357893i | ||||
\(780\) | −7.52829 | + | 6.39477i | −0.269556 | + | 0.228970i | ||||
\(781\) | −6.18213 | + | 82.4948i | −0.221214 | + | 2.95190i | ||||
\(782\) | −0.806474 | + | 2.05486i | −0.0288395 | + | 0.0734818i | ||||
\(783\) | 13.5877 | − | 36.5525i | 0.485586 | − | 1.30628i | ||||
\(784\) | 6.78610 | + | 1.71724i | 0.242361 | + | 0.0613299i | ||||
\(785\) | − | 1.25094i | − | 0.0446480i | ||||||
\(786\) | 9.93139 | + | 5.33092i | 0.354241 | + | 0.190148i | ||||
\(787\) | 33.7961 | + | 2.53266i | 1.20470 | + | 0.0902797i | 0.661906 | − | 0.749587i | \(-0.269748\pi\) |
0.542793 | + | 0.839866i | \(0.317367\pi\) | |||||||
\(788\) | 11.0917 | − | 11.9540i | 0.395126 | − | 0.425845i | ||||
\(789\) | −8.50671 | + | 9.75728i | −0.302847 | + | 0.347369i | ||||
\(790\) | 6.92905 | − | 14.3883i | 0.246524 | − | 0.511913i | ||||
\(791\) | 39.2254 | + | 1.92850i | 1.39470 | + | 0.0685695i | ||||
\(792\) | −17.8183 | + | 3.82636i | −0.633146 | + | 0.135964i | ||||
\(793\) | −8.58035 | − | 1.29328i | −0.304697 | − | 0.0459257i | ||||
\(794\) | −21.1264 | + | 14.4037i | −0.749747 | + | 0.511169i | ||||
\(795\) | 0.136720 | + | 4.41380i | 0.00484895 | + | 0.156541i | ||||
\(796\) | 9.62796 | + | 10.3765i | 0.341254 | + | 0.367784i | ||||
\(797\) | 7.45344 | + | 9.34631i | 0.264014 | + | 0.331063i | 0.896114 | − | 0.443823i | \(-0.146378\pi\) |
−0.632100 | + | 0.774887i | \(0.717807\pi\) | |||||||
\(798\) | −2.85756 | − | 4.35929i | −0.101157 | − | 0.154317i | ||||
\(799\) | −1.44347 | + | 1.81005i | −0.0510662 | + | 0.0640350i | ||||
\(800\) | −6.24506 | + | 0.468002i | −0.220796 | + | 0.0165464i | ||||
\(801\) | 9.93823 | + | 5.90965i | 0.351150 | + | 0.208807i | ||||
\(802\) | −0.107337 | + | 0.185913i | −0.00379019 | + | 0.00656480i | ||||
\(803\) | 4.65151 | + | 8.05665i | 0.164148 | + | 0.284313i | ||||
\(804\) | 1.41425 | + | 13.3216i | 0.0498766 | + | 0.469818i | ||||
\(805\) | −14.5912 | − | 43.3219i | −0.514271 | − | 1.52690i | ||||
\(806\) | −2.50829 | − | 0.572500i | −0.0883507 | − | 0.0201655i | ||||
\(807\) | −26.1063 | + | 4.76579i | −0.918984 | + | 0.167764i | ||||
\(808\) | −12.5532 | + | 4.92677i | −0.441620 | + | 0.173323i | ||||
\(809\) | 20.2985 | − | 7.96657i | 0.713657 | − | 0.280090i | 0.0193947 | − | 0.999812i | \(-0.493826\pi\) |
0.694262 | + | 0.719722i | \(0.255731\pi\) | |||||||
\(810\) | −5.26875 | + | 29.7407i | −0.185125 | + | 1.04498i | ||||
\(811\) | −50.1009 | − | 11.4352i | −1.75928 | − | 0.401544i | −0.783691 | − | 0.621151i | \(-0.786665\pi\) |
−0.975588 | + | 0.219608i | \(0.929522\pi\) | |||||||
\(812\) | −19.7558 | + | 1.99167i | −0.693293 | + | 0.0698938i | ||||
\(813\) | 14.2623 | − | 1.51411i | 0.500200 | − | 0.0531020i | ||||
\(814\) | 31.6997 | + | 54.9055i | 1.11107 | + | 1.92444i | ||||
\(815\) | 8.35826 | − | 14.4769i | 0.292777 | − | 0.507105i | ||||
\(816\) | −0.678753 | − | 0.301350i | −0.0237611 | − | 0.0105494i | ||||
\(817\) | −8.20287 | + | 0.614720i | −0.286982 | + | 0.0215063i | ||||
\(818\) | 0.295551 | − | 0.370609i | 0.0103337 | − | 0.0129580i | ||||
\(819\) | 8.27385 | − | 10.6521i | 0.289112 | − | 0.372215i | ||||
\(820\) | 22.2401 | + | 27.8882i | 0.776659 | + | 0.973899i | ||||
\(821\) | −13.2087 | − | 14.2356i | −0.460988 | − | 0.496827i | 0.459184 | − | 0.888341i | \(-0.348142\pi\) |
−0.920172 | + | 0.391514i | \(0.871951\pi\) | |||||||
\(822\) | 8.41946 | − | 0.260797i | 0.293662 | − | 0.00909633i | ||||
\(823\) | −23.7734 | + | 16.2085i | −0.828690 | + | 0.564991i | −0.901711 | − | 0.432339i | \(-0.857688\pi\) |
0.0730209 | + | 0.997330i | \(0.476736\pi\) | |||||||
\(824\) | −5.90933 | − | 0.890689i | −0.205861 | − | 0.0310286i | ||||
\(825\) | 21.3629 | + | 62.3353i | 0.743759 | + | 2.17024i | ||||
\(826\) | −16.0213 | + | 18.1815i | −0.557453 | + | 0.632616i | ||||
\(827\) | −13.5474 | + | 28.1315i | −0.471090 | + | 0.978228i | 0.521100 | + | 0.853495i | \(0.325522\pi\) |
−0.992190 | + | 0.124733i | \(0.960193\pi\) | |||||||
\(828\) | 11.4564 | − | 10.3589i | 0.398138 | − | 0.359995i | ||||
\(829\) | −5.43685 | + | 5.85953i | −0.188830 | + | 0.203510i | −0.820370 | − | 0.571833i | \(-0.806233\pi\) |
0.631540 | + | 0.775343i | \(0.282423\pi\) | |||||||
\(830\) | −15.1938 | − | 1.13862i | −0.527384 | − | 0.0395220i | ||||
\(831\) | 9.98509 | − | 18.6020i | 0.346379 | − | 0.645296i | ||||
\(832\) | 1.69932i | 0.0589133i | ||||||||
\(833\) | 1.74840 | − | 2.43951i | 0.0605786 | − | 0.0845240i | ||||
\(834\) | −18.2043 | − | 2.16984i | −0.630363 | − | 0.0751353i | ||||
\(835\) | −27.8240 | + | 70.8945i | −0.962891 | + | 2.45341i | ||||
\(836\) | 0.516366 | − | 6.89043i | 0.0178589 | − | 0.238311i | ||||
\(837\) | −7.02504 | + | 3.54109i | −0.242821 | + | 0.122398i | ||||
\(838\) | −2.75706 | + | 4.04386i | −0.0952410 | + | 0.139693i | ||||
\(839\) | −36.2090 | − | 17.4373i | −1.25007 | − | 0.602004i | −0.312543 | − | 0.949904i | \(-0.601181\pi\) |
−0.937532 | + | 0.347900i | \(0.886895\pi\) | |||||||
\(840\) | 14.7757 | − | 4.26544i | 0.509808 | − | 0.147172i | ||||
\(841\) | 24.6169 | − | 11.8549i | 0.848857 | − | 0.408788i | ||||
\(842\) | −3.38388 | + | 22.4506i | −0.116616 | + | 0.773697i | ||||
\(843\) | −6.59605 | − | 12.6771i | −0.227180 | − | 0.436623i | ||||
\(844\) | −19.5387 | + | 2.94499i | −0.672551 | + | 0.101371i | ||||
\(845\) | −24.8773 | + | 23.0828i | −0.855807 | + | 0.794073i | ||||
\(846\) | 14.6838 | − | 6.83996i | 0.504838 | − | 0.235163i | ||||
\(847\) | 41.3410 | − | 54.6618i | 1.42049 | − | 1.87820i | ||||
\(848\) | 0.593957 | + | 0.473665i | 0.0203966 | + | 0.0162657i | ||||
\(849\) | −20.5716 | − | 0.902319i | −0.706016 | − | 0.0309675i | ||||
\(850\) | −0.791467 | + | 2.56587i | −0.0271471 | + | 0.0880088i | ||||
\(851\) | −46.5323 | − | 26.8654i | −1.59511 | − | 0.920935i | ||||
\(852\) | 21.6790 | − | 9.29287i | 0.742710 | − | 0.318368i | ||||
\(853\) | −19.7114 | + | 4.49899i | −0.674905 | + | 0.154043i | −0.546218 | − | 0.837643i | \(-0.683933\pi\) |
−0.128686 | + | 0.991685i | \(0.541076\pi\) | |||||||
\(854\) | 11.3542 | + | 7.32141i | 0.388534 | + | 0.250534i | ||||
\(855\) | −10.2528 | − | 5.10104i | −0.350638 | − | 0.174452i | ||||
\(856\) | −1.47958 | + | 0.456389i | −0.0505709 | + | 0.0155991i | ||||
\(857\) | 1.88795 | + | 4.81041i | 0.0644910 | + | 0.164320i | 0.959486 | − | 0.281755i | \(-0.0909165\pi\) |
−0.894995 | + | 0.446075i | \(0.852821\pi\) | |||||||
\(858\) | 17.3003 | − | 4.51649i | 0.590622 | − | 0.154190i | ||||
\(859\) | 0.618200 | + | 2.00416i | 0.0210927 | + | 0.0683809i | 0.965507 | − | 0.260376i | \(-0.0838465\pi\) |
−0.944415 | + | 0.328757i | \(0.893370\pi\) | |||||||
\(860\) | 5.40062 | − | 23.6617i | 0.184160 | − | 0.806856i | ||||
\(861\) | −37.5236 | − | 31.0553i | −1.27880 | − | 1.05836i | ||||
\(862\) | −1.01961 | − | 4.46720i | −0.0347280 | − | 0.152153i | ||||
\(863\) | 15.6685 | − | 9.04624i | 0.533363 | − | 0.307938i | −0.209022 | − | 0.977911i | \(-0.567028\pi\) |
0.742385 | + | 0.669973i | \(0.233695\pi\) | |||||||
\(864\) | 3.31273 | + | 4.00322i | 0.112701 | + | 0.136192i | ||||
\(865\) | 16.2008 | + | 4.99729i | 0.550845 | + | 0.169913i | ||||
\(866\) | 0.195045 | + | 2.60269i | 0.00662789 | + | 0.0884431i | ||||
\(867\) | 20.7276 | − | 20.4626i | 0.703946 | − | 0.694945i | ||||
\(868\) | 3.19487 | + | 2.41629i | 0.108441 | + | 0.0820144i | ||||
\(869\) | −22.6011 | + | 18.0238i | −0.766689 | + | 0.611414i | ||||
\(870\) | −35.2654 | + | 25.6782i | −1.19561 | + | 0.870571i | ||||
\(871\) | −1.95891 | − | 12.9965i | −0.0663752 | − | 0.440371i | ||||
\(872\) | 0.494308 | + | 0.725016i | 0.0167394 | + | 0.0245522i | ||||
\(873\) | −4.73877 | + | 11.6318i | −0.160383 | + | 0.393677i | ||||
\(874\) | 2.54082 | + | 5.27607i | 0.0859446 | + | 0.178466i | ||||
\(875\) | −4.36219 | − | 10.3269i | −0.147469 | − | 0.349114i | ||||
\(876\) | 1.42562 | − | 2.23678i | 0.0481672 | − | 0.0755738i | ||||
\(877\) | −34.1877 | − | 23.3088i | −1.15444 | − | 0.787081i | −0.174160 | − | 0.984717i | \(-0.555721\pi\) |
−0.980275 | + | 0.197637i | \(0.936673\pi\) | |||||||
\(878\) | 16.5380 | + | 15.3450i | 0.558129 | + | 0.517868i | ||||
\(879\) | −2.72192 | + | 13.8956i | −0.0918082 | + | 0.468689i | ||||
\(880\) | 18.9777 | + | 7.44821i | 0.639739 | + | 0.251079i | ||||
\(881\) | −39.2899 | −1.32371 | −0.661855 | − | 0.749632i | \(-0.730231\pi\) | ||||
−0.661855 | + | 0.749632i | \(0.730231\pi\) | |||||||
\(882\) | −18.5558 | + | 9.83271i | −0.624806 | + | 0.331085i | ||||
\(883\) | −40.7212 | −1.37038 | −0.685188 | − | 0.728366i | \(-0.740280\pi\) | ||||
−0.685188 | + | 0.728366i | \(0.740280\pi\) | |||||||
\(884\) | 0.678242 | + | 0.266190i | 0.0228118 | + | 0.00895295i | ||||
\(885\) | −10.2344 | + | 52.2475i | −0.344026 | + | 1.75628i | ||||
\(886\) | 16.7571 | + | 15.5483i | 0.562965 | + | 0.522355i | ||||
\(887\) | −29.7455 | − | 20.2801i | −0.998755 | − | 0.680939i | −0.0505901 | − | 0.998719i | \(-0.516110\pi\) |
−0.948164 | + | 0.317780i | \(0.897063\pi\) | |||||||
\(888\) | 9.71549 | − | 15.2435i | 0.326030 | − | 0.511538i | ||||
\(889\) | 15.4017 | + | 13.5718i | 0.516556 | + | 0.455182i | ||||
\(890\) | −5.61208 | − | 11.6536i | −0.188118 | − | 0.390630i | ||||
\(891\) | 31.9510 | − | 44.3658i | 1.07040 | − | 1.48631i | ||||
\(892\) | 10.3980 | + | 15.2510i | 0.348150 | + | 0.510642i | ||||
\(893\) | 0.915368 | + | 6.07307i | 0.0306316 | + | 0.203228i | ||||
\(894\) | −15.7819 | + | 11.4914i | −0.527825 | + | 0.384331i | ||||
\(895\) | 15.2231 | − | 12.1400i | 0.508852 | − | 0.405796i | ||||
\(896\) | 1.08637 | − | 2.41242i | 0.0362932 | − | 0.0805934i | ||||
\(897\) | −10.7838 | + | 10.6459i | −0.360059 | + | 0.355455i | ||||
\(898\) | −2.08520 | − | 27.8250i | −0.0695839 | − | 0.928533i | ||||
\(899\) | −10.8576 | − | 3.34914i | −0.362122 | − | 0.111700i | ||||
\(900\) | 12.9551 | − | 13.6068i | 0.431835 | − | 0.453559i | ||||
\(901\) | 0.282093 | − | 0.162866i | 0.00939786 | − | 0.00542586i | ||||
\(902\) | −14.3679 | − | 62.9501i | −0.478400 | − | 2.09601i | ||||
\(903\) | −0.601784 | + | 33.1354i | −0.0200261 | + | 1.10268i | ||||
\(904\) | 3.30304 | − | 14.4716i | 0.109857 | − | 0.481317i | ||||
\(905\) | −24.6625 | − | 79.9540i | −0.819811 | − | 2.65776i | ||||
\(906\) | −4.31822 | + | 1.12734i | −0.143463 | + | 0.0374532i | ||||
\(907\) | −5.64256 | − | 14.3770i | −0.187358 | − | 0.477381i | 0.806072 | − | 0.591817i | \(-0.201589\pi\) |
−0.993431 | + | 0.114436i | \(0.963494\pi\) | |||||||
\(908\) | −13.0044 | + | 4.01133i | −0.431566 | + | 0.133121i | ||||
\(909\) | 18.0209 | − | 36.2208i | 0.597714 | − | 1.20137i | ||||
\(910\) | −14.2991 | + | 4.81605i | −0.474011 | + | 0.159651i | ||||
\(911\) | 1.50200 | − | 0.342821i | 0.0497633 | − | 0.0113582i | −0.197567 | − | 0.980289i | \(-0.563304\pi\) |
0.247330 | + | 0.968931i | \(0.420447\pi\) | |||||||
\(912\) | −1.81075 | + | 0.776193i | −0.0599600 | + | 0.0257023i | ||||
\(913\) | 23.8852 | + | 13.7901i | 0.790485 | + | 0.456387i | ||||
\(914\) | −2.70977 | + | 8.78486i | −0.0896312 | + | 0.290577i | ||||
\(915\) | 29.6531 | + | 1.30065i | 0.980301 | + | 0.0429983i | ||||
\(916\) | −3.90942 | − | 3.11766i | −0.129171 | − | 0.103010i | ||||
\(917\) | 11.0772 | + | 13.1814i | 0.365800 | + | 0.435288i | ||||
\(918\) | 2.11671 | − | 0.695111i | 0.0698620 | − | 0.0229421i | ||||
\(919\) | 1.46383 | − | 1.35823i | 0.0482872 | − | 0.0448040i | −0.655660 | − | 0.755056i | \(-0.727610\pi\) |
0.703947 | + | 0.710252i | \(0.251419\pi\) | |||||||
\(920\) | −17.0850 | + | 2.57514i | −0.563274 | + | 0.0848999i | ||||
\(921\) | −13.2516 | − | 25.4686i | −0.436656 | − | 0.839220i | ||||
\(922\) | −3.03922 | + | 20.1639i | −0.100091 | + | 0.664063i | ||||
\(923\) | −20.8494 | + | 10.0405i | −0.686265 | + | 0.330488i | ||||
\(924\) | −27.4476 | − | 4.64827i | −0.902959 | − | 0.152917i | ||||
\(925\) | −58.8861 | − | 28.3581i | −1.93616 | − | 0.932407i | ||||
\(926\) | 12.1818 | − | 17.8674i | 0.400318 | − | 0.587159i | ||||
\(927\) | 14.9417 | − | 9.90789i | 0.490751 | − | 0.325418i | ||||
\(928\) | −0.560838 | + | 7.48386i | −0.0184104 | + | 0.245670i | ||||
\(929\) | 14.1325 | − | 36.0090i | 0.463672 | − | 1.18142i | −0.487602 | − | 0.873066i | \(-0.662128\pi\) |
0.951273 | − | 0.308350i | \(-0.0997766\pi\) | |||||||
\(930\) | 8.73868 | + | 1.04160i | 0.286553 | + | 0.0341553i | ||||
\(931\) | −1.58923 | − | 7.80185i | −0.0520848 | − | 0.255695i | ||||
\(932\) | 11.8037i | 0.386642i | ||||||||
\(933\) | −13.0682 | + | 24.3457i | −0.427832 | + | 0.797042i | ||||
\(934\) | 30.1712 | + | 2.26102i | 0.987232 | + | 0.0739828i | ||||
\(935\) | 5.94554 | − | 6.40777i | 0.194440 | − | 0.209557i | ||||
\(936\) | −3.41911 | − | 3.78138i | −0.111757 | − | 0.123598i | ||||
\(937\) | 11.8574 | − | 24.6221i | 0.387364 | − | 0.804369i | −0.612539 | − | 0.790440i | \(-0.709852\pi\) |
0.999903 | − | 0.0139288i | \(-0.00443382\pi\) | |||||||
\(938\) | −5.52773 | + | 19.7027i | −0.180487 | + | 0.643317i | ||||
\(939\) | 8.05982 | + | 23.5180i | 0.263022 | + | 0.767479i | ||||
\(940\) | −17.9184 | − | 2.70077i | −0.584434 | − | 0.0880893i | ||||
\(941\) | 43.9399 | − | 29.9577i | 1.43240 | − | 0.976593i | 0.435315 | − | 0.900278i | \(-0.356637\pi\) |
0.997084 | − | 0.0763149i | \(-0.0243154\pi\) | |||||||
\(942\) | 0.645313 | − | 0.0199889i | 0.0210254 | − | 0.000651272i | ||||
\(943\) | 37.2204 | + | 40.1141i | 1.21206 | + | 1.30629i | ||||
\(944\) | 5.71074 | + | 7.16104i | 0.185869 | + | 0.233072i | ||||
\(945\) | −24.2970 | + | 39.2210i | −0.790380 | + | 1.27586i | ||||
\(946\) | −27.3917 | + | 34.3480i | −0.890579 | + | 1.11675i | ||||
\(947\) | −34.4092 | + | 2.57861i | −1.11815 | + | 0.0837937i | −0.620955 | − | 0.783846i | \(-0.713255\pi\) |
−0.497194 | + | 0.867640i | \(0.665636\pi\) | |||||||
\(948\) | 7.53311 | + | 3.34452i | 0.244664 | + | 0.108625i | ||||
\(949\) | −1.30117 | + | 2.25369i | −0.0422378 | + | 0.0731579i | ||||
\(950\) | 3.56164 | + | 6.16895i | 0.115555 | + | 0.200147i | ||||
\(951\) | 23.2921 | − | 2.47272i | 0.755297 | − | 0.0801835i | ||||
\(952\) | −0.792685 | − | 0.811495i | −0.0256911 | − | 0.0263007i | ||||
\(953\) | 36.3873 | + | 8.30516i | 1.17870 | + | 0.269031i | 0.766610 | − | 0.642113i | \(-0.221942\pi\) |
0.412090 | + | 0.911143i | \(0.364799\pi\) | |||||||
\(954\) | −2.27473 | + | 0.141057i | −0.0736471 | + | 0.00456689i | ||||
\(955\) | −56.5616 | + | 22.1988i | −1.83029 | + | 0.718336i | ||||
\(956\) | 22.9424 | − | 9.00421i | 0.742009 | − | 0.291217i | ||||
\(957\) | 77.6816 | − | 14.1810i | 2.51109 | − | 0.458408i | ||||
\(958\) | 25.3962 | + | 5.79651i | 0.820513 | + | 0.187277i | ||||
\(959\) | 12.0944 | + | 4.39184i | 0.390548 | + | 0.141820i | ||||
\(960\) | −0.613639 | − | 5.78024i | −0.0198051 | − | 0.186556i | ||||
\(961\) | −14.3539 | − | 24.8617i | −0.463028 | − | 0.801989i | ||||
\(962\) | −8.86738 | + | 15.3588i | −0.285896 | + | 0.495186i | ||||
\(963\) | 2.37413 | − | 3.99256i | 0.0765051 | − | 0.128658i | ||||
\(964\) | −4.81423 | + | 0.360777i | −0.155056 | + | 0.0116198i | ||||
\(965\) | 12.3003 | − | 15.4241i | 0.395962 | − | 0.496521i | ||||
\(966\) | 22.1150 | − | 8.21927i | 0.711538 | − | 0.264451i | ||||
\(967\) | 6.76383 | + | 8.48158i | 0.217510 | + | 0.272749i | 0.878601 | − | 0.477557i | \(-0.158478\pi\) |
−0.661091 | + | 0.750306i | \(0.729906\pi\) | |||||||
\(968\) | −17.6190 | − | 18.9887i | −0.566295 | − | 0.610320i | ||||
\(969\) | 0.0261527 | + | 0.844305i | 0.000840147 | + | 0.0271230i | ||||
\(970\) | 11.6090 | − | 7.91487i | 0.372742 | − | 0.254131i | ||||
\(971\) | −37.7495 | − | 5.68982i | −1.21144 | − | 0.182595i | −0.487913 | − | 0.872893i | \(-0.662242\pi\) |
−0.723526 | + | 0.690298i | \(0.757480\pi\) | |||||||
\(972\) | −15.4263 | − | 2.24272i | −0.494798 | − | 0.0719352i | ||||
\(973\) | −24.6039 | − | 13.3749i | −0.788766 | − | 0.428781i | ||||
\(974\) | 7.96629 | − | 16.5422i | 0.255256 | − | 0.530045i | ||||
\(975\) | −12.1130 | + | 13.8938i | −0.387928 | + | 0.444957i | ||||
\(976\) | 3.47318 | − | 3.74320i | 0.111174 | − | 0.119817i | ||||
\(977\) | 33.3427 | + | 2.49869i | 1.06673 | + | 0.0799403i | 0.596507 | − | 0.802608i | \(-0.296555\pi\) |
0.470222 | + | 0.882548i | \(0.344174\pi\) | |||||||
\(978\) | 7.60165 | + | 4.08038i | 0.243074 | + | 0.130476i | ||||
\(979\) | 23.4135i | 0.748299i | ||||||||
\(980\) | 23.3785 | + | 2.30436i | 0.746800 | + | 0.0736100i | ||||
\(981\) | −2.55872 | − | 0.618757i | −0.0816936 | − | 0.0197554i | ||||
\(982\) | 1.85778 | − | 4.73356i | 0.0592843 | − | 0.151054i | ||||
\(983\) | −2.05579 | + | 27.4326i | −0.0655694 | + | 0.874963i | 0.863332 | + | 0.504636i | \(0.168373\pi\) |
−0.928902 | + | 0.370327i | \(0.879246\pi\) | |||||||
\(984\) | −14.0311 | + | 11.9185i | −0.447295 | + | 0.379947i | ||||
\(985\) | 30.8286 | − | 45.2172i | 0.982281 | − | 1.44074i | ||||
\(986\) | 2.89915 | + | 1.39616i | 0.0923277 | + | 0.0444627i | ||||
\(987\) | 24.7042 | − | 1.40076i | 0.786344 | − | 0.0445866i | ||||
\(988\) | 1.74146 | − | 0.838641i | 0.0554031 | − | 0.0266807i | ||||
\(989\) | 5.54928 | − | 36.8171i | 0.176457 | − | 1.17072i | ||||
\(990\) | −57.2160 | + | 21.6101i | −1.81844 | + | 0.686815i | ||||
\(991\) | 20.7878 | − | 3.13325i | 0.660345 | − | 0.0995311i | 0.189684 | − | 0.981845i | \(-0.439254\pi\) |
0.470661 | + | 0.882314i | \(0.344015\pi\) | |||||||
\(992\) | 1.10985 | − | 1.02979i | 0.0352378 | − | 0.0326959i | ||||
\(993\) | 15.3631 | + | 24.8031i | 0.487533 | + | 0.787101i | ||||
\(994\) | 36.0175 | − | 0.924949i | 1.14241 | − | 0.0293376i | ||||
\(995\) | 37.1404 | + | 29.6185i | 1.17743 | + | 0.938970i | ||||
\(996\) | 0.344587 | − | 7.85610i | 0.0109187 | − | 0.248930i | ||||
\(997\) | −10.6964 | + | 34.6769i | −0.338759 | + | 1.09823i | 0.612665 | + | 0.790343i | \(0.290098\pi\) |
−0.951423 | + | 0.307885i | \(0.900379\pi\) | |||||||
\(998\) | 11.2621 | + | 6.50218i | 0.356495 | + | 0.205823i | ||||
\(999\) | 9.05147 | + | 53.4684i | 0.286376 | + | 1.69166i |
(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 | 294.2.p.a.101.13 | yes | 216 | |
3.2 | odd | 2 | inner | 294.2.p.a.101.5 | ✓ | 216 | |
49.33 | odd | 42 | inner | 294.2.p.a.131.5 | yes | 216 | |
147.131 | even | 42 | inner | 294.2.p.a.131.13 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
294.2.p.a.101.5 | ✓ | 216 | 3.2 | odd | 2 | inner | |
294.2.p.a.101.13 | yes | 216 | 1.1 | even | 1 | trivial | |
294.2.p.a.131.5 | yes | 216 | 49.33 | odd | 42 | inner | |
294.2.p.a.131.13 | yes | 216 | 147.131 | even | 42 | inner |