Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), 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: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Character | \(\chi\) | \(=\) | 49.2 |
Dual form | 49.2.g.a.25.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.16438 | − | 0.359164i | −0.823343 | − | 0.253968i | −0.145672 | − | 0.989333i | \(-0.546534\pi\) |
−0.677671 | + | 0.735365i | \(0.737011\pi\) | |||||||
\(3\) | 0.671120 | − | 1.70999i | 0.387472 | − | 0.987261i | −0.595476 | − | 0.803373i | \(-0.703036\pi\) |
0.982947 | − | 0.183888i | \(-0.0588684\pi\) | |||||||
\(4\) | −0.425690 | − | 0.290231i | −0.212845 | − | 0.145115i | ||||
\(5\) | −0.478452 | + | 0.0721150i | −0.213970 | + | 0.0322508i | −0.255152 | − | 0.966901i | \(-0.582126\pi\) |
0.0411822 | + | 0.999152i | \(0.486888\pi\) | |||||||
\(6\) | −1.39561 | + | 1.75004i | −0.569754 | + | 0.714449i | ||||
\(7\) | 1.90196 | − | 1.83918i | 0.718871 | − | 0.695143i | ||||
\(8\) | 1.91089 | + | 2.39618i | 0.675603 | + | 0.847179i | ||||
\(9\) | −0.274497 | − | 0.254696i | −0.0914990 | − | 0.0848986i | ||||
\(10\) | 0.583002 | + | 0.0878735i | 0.184362 | + | 0.0277880i | ||||
\(11\) | −2.56776 | + | 2.38253i | −0.774209 | + | 0.718361i | −0.964707 | − | 0.263327i | \(-0.915180\pi\) |
0.190498 | + | 0.981688i | \(0.438990\pi\) | |||||||
\(12\) | −0.781980 | + | 0.533145i | −0.225738 | + | 0.153906i | ||||
\(13\) | 0.866309 | + | 3.79555i | 0.240271 | + | 1.05270i | 0.940771 | + | 0.339043i | \(0.110103\pi\) |
−0.700500 | + | 0.713653i | \(0.747040\pi\) | |||||||
\(14\) | −2.87517 | + | 1.45839i | −0.768421 | + | 0.389771i | ||||
\(15\) | −0.197783 | + | 0.866545i | −0.0510674 | + | 0.223741i | ||||
\(16\) | −0.987928 | − | 2.51720i | −0.246982 | − | 0.629300i | ||||
\(17\) | 0.0251704 | + | 0.335876i | 0.00610472 | + | 0.0814618i | 0.999424 | − | 0.0339368i | \(-0.0108045\pi\) |
−0.993319 | + | 0.115399i | \(0.963185\pi\) | |||||||
\(18\) | 0.228142 | + | 0.395153i | 0.0537735 | + | 0.0931385i | ||||
\(19\) | 3.24669 | − | 5.62343i | 0.744841 | − | 1.29010i | −0.205428 | − | 0.978672i | \(-0.565859\pi\) |
0.950269 | − | 0.311430i | \(-0.100808\pi\) | |||||||
\(20\) | 0.224602 | + | 0.108163i | 0.0502226 | + | 0.0241859i | ||||
\(21\) | −1.86853 | − | 4.48663i | −0.407746 | − | 0.979062i | ||||
\(22\) | 3.84558 | − | 1.85193i | 0.819880 | − | 0.394833i | ||||
\(23\) | −0.169582 | + | 2.26291i | −0.0353602 | + | 0.471850i | 0.951214 | + | 0.308533i | \(0.0998381\pi\) |
−0.986574 | + | 0.163316i | \(0.947781\pi\) | |||||||
\(24\) | 5.37988 | − | 1.65947i | 1.09816 | − | 0.338739i | ||||
\(25\) | −4.55415 | + | 1.40477i | −0.910830 | + | 0.280954i | ||||
\(26\) | 0.354511 | − | 4.73062i | 0.0695253 | − | 0.927750i | ||||
\(27\) | 4.34541 | − | 2.09264i | 0.836275 | − | 0.402729i | ||||
\(28\) | −1.34343 | + | 0.230913i | −0.253884 | + | 0.0436385i | ||||
\(29\) | −5.84248 | − | 2.81359i | −1.08492 | − | 0.522471i | −0.196035 | − | 0.980597i | \(-0.562806\pi\) |
−0.888887 | + | 0.458126i | \(0.848521\pi\) | |||||||
\(30\) | 0.541527 | − | 0.937953i | 0.0988689 | − | 0.171246i | ||||
\(31\) | 2.13461 | + | 3.69724i | 0.383386 | + | 0.664045i | 0.991544 | − | 0.129772i | \(-0.0414244\pi\) |
−0.608157 | + | 0.793816i | \(0.708091\pi\) | |||||||
\(32\) | −0.211833 | − | 2.82672i | −0.0374472 | − | 0.499698i | ||||
\(33\) | 2.35082 | + | 5.98980i | 0.409226 | + | 1.04269i | ||||
\(34\) | 0.0913266 | − | 0.400128i | 0.0156624 | − | 0.0686214i | ||||
\(35\) | −0.777362 | + | 1.01712i | −0.131398 | + | 0.171924i | ||||
\(36\) | 0.0429301 | + | 0.188089i | 0.00715502 | + | 0.0313482i | ||||
\(37\) | −4.62031 | + | 3.15007i | −0.759574 | + | 0.517869i | −0.880069 | − | 0.474845i | \(-0.842504\pi\) |
0.120495 | + | 0.992714i | \(0.461552\pi\) | |||||||
\(38\) | −5.80012 | + | 5.38172i | −0.940903 | + | 0.873031i | ||||
\(39\) | 7.07174 | + | 1.06589i | 1.13238 | + | 0.170679i | ||||
\(40\) | −1.08707 | − | 1.00865i | −0.171881 | − | 0.159482i | ||||
\(41\) | −2.67167 | − | 3.35017i | −0.417245 | − | 0.523209i | 0.528143 | − | 0.849155i | \(-0.322888\pi\) |
−0.945388 | + | 0.325947i | \(0.894317\pi\) | |||||||
\(42\) | 0.564241 | + | 5.89526i | 0.0870643 | + | 0.909658i | ||||
\(43\) | −5.28773 | + | 6.63061i | −0.806371 | + | 1.01116i | 0.193179 | + | 0.981164i | \(0.438120\pi\) |
−0.999550 | + | 0.0299942i | \(0.990451\pi\) | |||||||
\(44\) | 1.78456 | − | 0.268978i | 0.269032 | − | 0.0405500i | ||||
\(45\) | 0.149701 | + | 0.102064i | 0.0223161 | + | 0.0152149i | ||||
\(46\) | 1.01022 | − | 2.57399i | 0.148948 | − | 0.379514i | ||||
\(47\) | 4.71078 | + | 1.45308i | 0.687138 | + | 0.211954i | 0.618614 | − | 0.785695i | \(-0.287695\pi\) |
0.0685245 | + | 0.997649i | \(0.478171\pi\) | |||||||
\(48\) | −4.96739 | −0.716982 | ||||||||
\(49\) | 0.234867 | − | 6.99606i | 0.0335524 | − | 0.999437i | ||||
\(50\) | 5.80731 | 0.821278 | ||||||||
\(51\) | 0.591235 | + | 0.182372i | 0.0827895 | + | 0.0255372i | ||||
\(52\) | 0.732806 | − | 1.86716i | 0.101622 | − | 0.258928i | ||||
\(53\) | 7.44857 | + | 5.07835i | 1.02314 | + | 0.697565i | 0.953928 | − | 0.300037i | \(-0.0969990\pi\) |
0.0692124 | + | 0.997602i | \(0.477951\pi\) | |||||||
\(54\) | −5.81132 | + | 0.875916i | −0.790821 | + | 0.119197i | ||||
\(55\) | 1.05673 | − | 1.32510i | 0.142490 | − | 0.178677i | ||||
\(56\) | 8.04143 | + | 1.04297i | 1.07458 | + | 0.139372i | ||||
\(57\) | −7.43707 | − | 9.32579i | −0.985064 | − | 1.23523i | ||||
\(58\) | 5.79234 | + | 5.37451i | 0.760572 | + | 0.705707i | ||||
\(59\) | −12.3025 | − | 1.85430i | −1.60165 | − | 0.241409i | −0.713393 | − | 0.700764i | \(-0.752843\pi\) |
−0.888253 | + | 0.459355i | \(0.848081\pi\) | |||||||
\(60\) | 0.335692 | − | 0.311477i | 0.0433377 | − | 0.0402115i | ||||
\(61\) | −7.55952 | + | 5.15399i | −0.967897 | + | 0.659901i | −0.940525 | − | 0.339724i | \(-0.889666\pi\) |
−0.0273718 | + | 0.999625i | \(0.508714\pi\) | |||||||
\(62\) | −1.15758 | − | 5.07168i | −0.147013 | − | 0.644104i | ||||
\(63\) | −0.990511 | + | 0.0204278i | −0.124793 | + | 0.00257366i | ||||
\(64\) | −1.97205 | + | 8.64012i | −0.246506 | + | 1.08001i | ||||
\(65\) | −0.688204 | − | 1.75351i | −0.0853612 | − | 0.217497i | ||||
\(66\) | −0.585935 | − | 7.81875i | −0.0721236 | − | 0.962422i | ||||
\(67\) | −2.35068 | − | 4.07149i | −0.287181 | − | 0.497412i | 0.685955 | − | 0.727644i | \(-0.259385\pi\) |
−0.973136 | + | 0.230232i | \(0.926051\pi\) | |||||||
\(68\) | 0.0867667 | − | 0.150284i | 0.0105220 | − | 0.0182246i | ||||
\(69\) | 3.75574 | + | 1.80867i | 0.452138 | + | 0.217738i | ||||
\(70\) | 1.27046 | − | 0.905112i | 0.151849 | − | 0.108182i | ||||
\(71\) | 12.8903 | − | 6.20766i | 1.52980 | − | 0.736714i | 0.535623 | − | 0.844457i | \(-0.320077\pi\) |
0.994179 | + | 0.107743i | \(0.0343625\pi\) | |||||||
\(72\) | 0.0857640 | − | 1.14444i | 0.0101074 | − | 0.134874i | ||||
\(73\) | 7.72629 | − | 2.38325i | 0.904294 | − | 0.278938i | 0.192476 | − | 0.981302i | \(-0.438348\pi\) |
0.711818 | + | 0.702364i | \(0.247872\pi\) | |||||||
\(74\) | 6.51120 | − | 2.00844i | 0.756912 | − | 0.233476i | ||||
\(75\) | −0.654246 | + | 8.73030i | −0.0755458 | + | 1.00809i | ||||
\(76\) | −3.01417 | + | 1.45155i | −0.345750 | + | 0.166504i | ||||
\(77\) | −0.501868 | + | 9.25403i | −0.0571932 | + | 1.05459i | ||||
\(78\) | −7.85137 | − | 3.78102i | −0.888993 | − | 0.428117i | ||||
\(79\) | 0.516002 | − | 0.893742i | 0.0580548 | − | 0.100554i | −0.835537 | − | 0.549434i | \(-0.814844\pi\) |
0.893592 | + | 0.448880i | \(0.148177\pi\) | |||||||
\(80\) | 0.654204 | + | 1.13311i | 0.0731422 | + | 0.126686i | ||||
\(81\) | −0.746042 | − | 9.95524i | −0.0828936 | − | 1.10614i | ||||
\(82\) | 1.90759 | + | 4.86045i | 0.210658 | + | 0.536747i | ||||
\(83\) | 2.93736 | − | 12.8694i | 0.322417 | − | 1.41260i | −0.510821 | − | 0.859687i | \(-0.670658\pi\) |
0.833238 | − | 0.552915i | \(-0.186485\pi\) | |||||||
\(84\) | −0.506744 | + | 2.45222i | −0.0552903 | + | 0.267559i | ||||
\(85\) | −0.0362645 | − | 0.158885i | −0.00393344 | − | 0.0172335i | ||||
\(86\) | 8.53842 | − | 5.82140i | 0.920721 | − | 0.627737i | ||||
\(87\) | −8.73221 | + | 8.10231i | −0.936192 | + | 0.868659i | ||||
\(88\) | −10.6157 | − | 1.60006i | −1.13164 | − | 0.170567i | ||||
\(89\) | −1.38129 | − | 1.28165i | −0.146416 | − | 0.135854i | 0.603564 | − | 0.797314i | \(-0.293747\pi\) |
−0.749981 | + | 0.661460i | \(0.769937\pi\) | |||||||
\(90\) | −0.137651 | − | 0.172609i | −0.0145097 | − | 0.0181946i | ||||
\(91\) | 8.62836 | + | 5.62567i | 0.904498 | + | 0.589730i | ||||
\(92\) | 0.728956 | − | 0.914082i | 0.0759989 | − | 0.0952996i | ||||
\(93\) | 7.75482 | − | 1.16885i | 0.804137 | − | 0.121204i | ||||
\(94\) | −4.96325 | − | 3.38389i | −0.511921 | − | 0.349022i | ||||
\(95\) | −1.14785 | + | 2.92467i | −0.117767 | + | 0.300065i | ||||
\(96\) | −4.97582 | − | 1.53484i | −0.507842 | − | 0.156649i | ||||
\(97\) | −0.104657 | −0.0106263 | −0.00531317 | − | 0.999986i | \(-0.501691\pi\) | ||||
−0.00531317 | + | 0.999986i | \(0.501691\pi\) | |||||||
\(98\) | −2.78621 | + | 8.06173i | −0.281450 | + | 0.814358i | ||||
\(99\) | 1.31166 | 0.131827 | ||||||||
\(100\) | 2.34636 | + | 0.723758i | 0.234636 | + | 0.0723758i | ||||
\(101\) | −1.58961 | + | 4.05026i | −0.158172 | + | 0.403015i | −0.987888 | − | 0.155171i | \(-0.950407\pi\) |
0.829716 | + | 0.558186i | \(0.188502\pi\) | |||||||
\(102\) | −0.622923 | − | 0.424701i | −0.0616785 | − | 0.0420517i | ||||
\(103\) | 5.12165 | − | 0.771965i | 0.504652 | − | 0.0760640i | 0.108218 | − | 0.994127i | \(-0.465486\pi\) |
0.396434 | + | 0.918063i | \(0.370248\pi\) | |||||||
\(104\) | −7.43941 | + | 9.32872i | −0.729494 | + | 0.914756i | ||||
\(105\) | 1.21755 | + | 2.01189i | 0.118821 | + | 0.196340i | ||||
\(106\) | −6.84902 | − | 8.58840i | −0.665236 | − | 0.834179i | ||||
\(107\) | −7.51758 | − | 6.97530i | −0.726752 | − | 0.674327i | 0.227349 | − | 0.973813i | \(-0.426994\pi\) |
−0.954101 | + | 0.299486i | \(0.903185\pi\) | |||||||
\(108\) | −2.45715 | − | 0.370355i | −0.236439 | − | 0.0356375i | ||||
\(109\) | −0.535156 | + | 0.496553i | −0.0512587 | + | 0.0475611i | −0.705386 | − | 0.708823i | \(-0.749226\pi\) |
0.654128 | + | 0.756384i | \(0.273036\pi\) | |||||||
\(110\) | −1.70637 | + | 1.16338i | −0.162696 | + | 0.110924i | ||||
\(111\) | 2.28580 | + | 10.0147i | 0.216959 | + | 0.950558i | ||||
\(112\) | −6.50856 | − | 2.97063i | −0.615001 | − | 0.280698i | ||||
\(113\) | −1.22163 | + | 5.35233i | −0.114922 | + | 0.503505i | 0.884402 | + | 0.466726i | \(0.154567\pi\) |
−0.999323 | + | 0.0367784i | \(0.988290\pi\) | |||||||
\(114\) | 5.31010 | + | 13.5299i | 0.497336 | + | 1.26719i | ||||
\(115\) | −0.0820532 | − | 1.09492i | −0.00765150 | − | 0.102102i | ||||
\(116\) | 1.67050 | + | 2.89339i | 0.155102 | + | 0.268644i | ||||
\(117\) | 0.728912 | − | 1.26251i | 0.0673879 | − | 0.116719i | ||||
\(118\) | 13.6588 | + | 6.57773i | 1.25739 | + | 0.605529i | ||||
\(119\) | 0.665607 | + | 0.592528i | 0.0610161 | + | 0.0543169i | ||||
\(120\) | −2.45434 | + | 1.18195i | −0.224050 | + | 0.107897i | ||||
\(121\) | 0.0948966 | − | 1.26631i | 0.00862696 | − | 0.115119i | ||||
\(122\) | 10.6533 | − | 3.28611i | 0.964504 | − | 0.297510i | ||||
\(123\) | −7.52176 | + | 2.32016i | −0.678214 | + | 0.209201i | ||||
\(124\) | 0.164373 | − | 2.19341i | 0.0147612 | − | 0.196974i | ||||
\(125\) | 4.25733 | − | 2.05022i | 0.380788 | − | 0.183378i | ||||
\(126\) | 1.16067 | + | 0.331971i | 0.103401 | + | 0.0295743i | ||||
\(127\) | 3.98417 | + | 1.91867i | 0.353538 | + | 0.170255i | 0.602220 | − | 0.798330i | \(-0.294283\pi\) |
−0.248682 | + | 0.968585i | \(0.579997\pi\) | |||||||
\(128\) | 2.56480 | − | 4.44236i | 0.226698 | − | 0.392653i | ||||
\(129\) | 7.78954 | + | 13.4919i | 0.685831 | + | 1.18789i | ||||
\(130\) | 0.171532 | + | 2.28894i | 0.0150444 | + | 0.200753i | ||||
\(131\) | −5.69783 | − | 14.5178i | −0.497822 | − | 1.26843i | −0.930305 | − | 0.366787i | \(-0.880458\pi\) |
0.432483 | − | 0.901642i | \(-0.357638\pi\) | |||||||
\(132\) | 0.737702 | − | 3.23208i | 0.0642087 | − | 0.281317i | ||||
\(133\) | −4.16741 | − | 16.6667i | −0.361361 | − | 1.44519i | ||||
\(134\) | 1.27475 | + | 5.58505i | 0.110122 | + | 0.482475i | ||||
\(135\) | −1.92816 | + | 1.31460i | −0.165950 | + | 0.113142i | ||||
\(136\) | −0.756722 | + | 0.702135i | −0.0648884 | + | 0.0602076i | ||||
\(137\) | 11.5919 | + | 1.74720i | 0.990363 | + | 0.149273i | 0.624189 | − | 0.781273i | \(-0.285430\pi\) |
0.366174 | + | 0.930547i | \(0.380668\pi\) | |||||||
\(138\) | −3.72351 | − | 3.45491i | −0.316966 | − | 0.294101i | ||||
\(139\) | −5.45746 | − | 6.84344i | −0.462896 | − | 0.580453i | 0.494520 | − | 0.869166i | \(-0.335344\pi\) |
−0.957416 | + | 0.288713i | \(0.906773\pi\) | |||||||
\(140\) | 0.626114 | − | 0.207362i | 0.0529163 | − | 0.0175253i | ||||
\(141\) | 5.64626 | − | 7.08018i | 0.475500 | − | 0.596259i | ||||
\(142\) | −17.2389 | + | 2.59834i | −1.44665 | + | 0.218048i | ||||
\(143\) | −11.2675 | − | 7.68205i | −0.942235 | − | 0.642405i | ||||
\(144\) | −0.369937 | + | 0.942584i | −0.0308281 | + | 0.0785487i | ||||
\(145\) | 2.99825 | + | 0.924838i | 0.248991 | + | 0.0768036i | ||||
\(146\) | −9.85234 | −0.815385 | ||||||||
\(147\) | −11.8055 | − | 5.09682i | −0.973705 | − | 0.420378i | ||||
\(148\) | 2.88107 | 0.236822 | ||||||||
\(149\) | −5.15279 | − | 1.58943i | −0.422133 | − | 0.130211i | 0.0764085 | − | 0.997077i | \(-0.475655\pi\) |
−0.498542 | + | 0.866866i | \(0.666131\pi\) | |||||||
\(150\) | 3.89741 | − | 9.93043i | 0.318222 | − | 0.810816i | ||||
\(151\) | 0.935832 | + | 0.638040i | 0.0761569 | + | 0.0519229i | 0.600800 | − | 0.799399i | \(-0.294849\pi\) |
−0.524643 | + | 0.851322i | \(0.675801\pi\) | |||||||
\(152\) | 19.6788 | − | 2.96611i | 1.59616 | − | 0.240583i | ||||
\(153\) | 0.0786370 | − | 0.0986077i | 0.00635742 | − | 0.00797196i | ||||
\(154\) | 3.90809 | − | 10.5950i | 0.314922 | − | 0.853768i | ||||
\(155\) | −1.28793 | − | 1.61502i | −0.103449 | − | 0.129721i | ||||
\(156\) | −2.70102 | − | 2.50618i | −0.216254 | − | 0.200655i | ||||
\(157\) | 20.1181 | + | 3.03231i | 1.60560 | + | 0.242005i | 0.889815 | − | 0.456321i | \(-0.150833\pi\) |
0.715780 | + | 0.698325i | \(0.246071\pi\) | |||||||
\(158\) | −0.921824 | + | 0.855328i | −0.0733364 | + | 0.0680462i | ||||
\(159\) | 13.6828 | − | 9.32878i | 1.08512 | − | 0.739820i | ||||
\(160\) | 0.305201 | + | 1.33717i | 0.0241282 | + | 0.105713i | ||||
\(161\) | 3.83935 | + | 4.61585i | 0.302583 | + | 0.363780i | ||||
\(162\) | −2.70689 | + | 11.8597i | −0.212673 | + | 0.931783i | ||||
\(163\) | −2.30035 | − | 5.86119i | −0.180177 | − | 0.459084i | 0.812040 | − | 0.583601i | \(-0.198357\pi\) |
−0.992217 | + | 0.124518i | \(0.960262\pi\) | |||||||
\(164\) | 0.164982 | + | 2.20154i | 0.0128830 | + | 0.171911i | ||||
\(165\) | −1.55671 | − | 2.69630i | −0.121190 | − | 0.209907i | ||||
\(166\) | −8.04245 | + | 13.9299i | −0.624215 | + | 1.08117i | ||||
\(167\) | −13.3927 | − | 6.44960i | −1.03636 | − | 0.499085i | −0.163238 | − | 0.986587i | \(-0.552194\pi\) |
−0.873122 | + | 0.487502i | \(0.837908\pi\) | |||||||
\(168\) | 7.18023 | − | 13.0508i | 0.553967 | − | 1.00689i | ||||
\(169\) | −1.94311 | + | 0.935750i | −0.149470 | + | 0.0719808i | ||||
\(170\) | −0.0148402 | + | 0.198028i | −0.00113819 | + | 0.0151881i | ||||
\(171\) | −2.32347 | + | 0.716695i | −0.177680 | + | 0.0548071i | ||||
\(172\) | 4.17534 | − | 1.28792i | 0.318367 | − | 0.0982032i | ||||
\(173\) | −0.355483 | + | 4.74359i | −0.0270269 | + | 0.360648i | 0.967251 | + | 0.253822i | \(0.0816879\pi\) |
−0.994278 | + | 0.106826i | \(0.965931\pi\) | |||||||
\(174\) | 13.0777 | − | 6.29789i | 0.991418 | − | 0.477442i | ||||
\(175\) | −6.07817 | + | 11.0477i | −0.459466 | + | 0.835126i | ||||
\(176\) | 8.53407 | + | 4.10979i | 0.643280 | + | 0.309787i | ||||
\(177\) | −11.4273 | + | 19.7926i | −0.858926 | + | 1.48770i | ||||
\(178\) | 1.14803 | + | 1.98844i | 0.0860481 | + | 0.149040i | ||||
\(179\) | 1.67556 | + | 22.3588i | 0.125237 | + | 1.67117i | 0.606872 | + | 0.794800i | \(0.292424\pi\) |
−0.481635 | + | 0.876372i | \(0.659957\pi\) | |||||||
\(180\) | −0.0341040 | − | 0.0868957i | −0.00254197 | − | 0.00647682i | ||||
\(181\) | −3.56581 | + | 15.6229i | −0.265045 | + | 1.16124i | 0.650655 | + | 0.759374i | \(0.274495\pi\) |
−0.915699 | + | 0.401864i | \(0.868363\pi\) | |||||||
\(182\) | −8.02617 | − | 9.64943i | −0.594939 | − | 0.715263i | ||||
\(183\) | 3.73991 | + | 16.3856i | 0.276462 | + | 1.21126i | ||||
\(184\) | −5.74640 | + | 3.91783i | −0.423630 | + | 0.288826i | ||||
\(185\) | 1.98343 | − | 1.84035i | 0.145825 | − | 0.135305i | ||||
\(186\) | −9.44938 | − | 1.42427i | −0.692862 | − | 0.104432i | ||||
\(187\) | −0.864867 | − | 0.802479i | −0.0632453 | − | 0.0586831i | ||||
\(188\) | −1.58360 | − | 1.98578i | −0.115496 | − | 0.144828i | ||||
\(189\) | 4.41604 | − | 11.9721i | 0.321220 | − | 0.870841i | ||||
\(190\) | 2.38698 | − | 2.99317i | 0.173169 | − | 0.217148i | ||||
\(191\) | −6.54747 | + | 0.986873i | −0.473758 | + | 0.0714076i | −0.381582 | − | 0.924335i | \(-0.624621\pi\) |
−0.0921766 | + | 0.995743i | \(0.529382\pi\) | |||||||
\(192\) | 13.4510 | + | 9.17074i | 0.970742 | + | 0.661841i | ||||
\(193\) | 0.855841 | − | 2.18065i | 0.0616048 | − | 0.156966i | −0.896757 | − | 0.442523i | \(-0.854083\pi\) |
0.958362 | + | 0.285557i | \(0.0921786\pi\) | |||||||
\(194\) | 0.121861 | + | 0.0375892i | 0.00874912 | + | 0.00269875i | ||||
\(195\) | −3.46035 | −0.247801 | ||||||||
\(196\) | −2.13045 | + | 2.90999i | −0.152175 | + | 0.207856i | ||||
\(197\) | 0.848986 | 0.0604878 | 0.0302439 | − | 0.999543i | \(-0.490372\pi\) | ||||
0.0302439 | + | 0.999543i | \(0.490372\pi\) | |||||||
\(198\) | −1.52728 | − | 0.471103i | −0.108539 | − | 0.0334798i | ||||
\(199\) | 0.565966 | − | 1.44206i | 0.0401202 | − | 0.102225i | −0.909409 | − | 0.415902i | \(-0.863466\pi\) |
0.949530 | + | 0.313678i | \(0.101561\pi\) | |||||||
\(200\) | −12.0686 | − | 8.22821i | −0.853377 | − | 0.581822i | ||||
\(201\) | −8.53978 | + | 1.28717i | −0.602350 | + | 0.0907896i | ||||
\(202\) | 3.30562 | − | 4.14512i | 0.232583 | − | 0.291649i | ||||
\(203\) | −16.2868 | + | 5.39403i | −1.14311 | + | 0.378586i | ||||
\(204\) | −0.198753 | − | 0.249229i | −0.0139155 | − | 0.0174495i | ||||
\(205\) | 1.51986 | + | 1.41023i | 0.106152 | + | 0.0984946i | ||||
\(206\) | −6.24083 | − | 0.940653i | −0.434819 | − | 0.0655384i | ||||
\(207\) | 0.622904 | − | 0.577970i | 0.0432948 | − | 0.0401717i | ||||
\(208\) | 8.69830 | − | 5.93040i | 0.603119 | − | 0.411199i | ||||
\(209\) | 5.06129 | + | 22.1749i | 0.350097 | + | 1.53387i | ||||
\(210\) | −0.695099 | − | 2.77991i | −0.0479664 | − | 0.191832i | ||||
\(211\) | −1.65577 | + | 7.25438i | −0.113988 | + | 0.499412i | 0.885413 | + | 0.464805i | \(0.153875\pi\) |
−0.999401 | + | 0.0346079i | \(0.988982\pi\) | |||||||
\(212\) | −1.69689 | − | 4.32361i | −0.116543 | − | 0.296947i | ||||
\(213\) | −1.96405 | − | 26.2084i | −0.134574 | − | 1.79577i | ||||
\(214\) | 6.24806 | + | 10.8220i | 0.427109 | + | 0.739774i | ||||
\(215\) | 2.05176 | − | 3.55375i | 0.139929 | − | 0.242364i | ||||
\(216\) | 13.3180 | + | 6.41359i | 0.906172 | + | 0.436390i | ||||
\(217\) | 10.8598 | + | 3.10608i | 0.737212 | + | 0.210854i | ||||
\(218\) | 0.801471 | − | 0.385968i | 0.0542824 | − | 0.0261410i | ||||
\(219\) | 1.10995 | − | 14.8113i | 0.0750037 | − | 1.00086i | ||||
\(220\) | −0.834427 | + | 0.257387i | −0.0562570 | + | 0.0173530i | ||||
\(221\) | −1.25303 | + | 0.386508i | −0.0842877 | + | 0.0259993i | ||||
\(222\) | 0.935395 | − | 12.4820i | 0.0627796 | − | 0.837735i | ||||
\(223\) | −5.04353 | + | 2.42883i | −0.337740 | + | 0.162647i | −0.595064 | − | 0.803678i | \(-0.702873\pi\) |
0.257325 | + | 0.966325i | \(0.417159\pi\) | |||||||
\(224\) | −5.60173 | − | 4.98669i | −0.374281 | − | 0.333187i | ||||
\(225\) | 1.60789 | + | 0.774318i | 0.107193 | + | 0.0516212i | ||||
\(226\) | 3.34482 | − | 5.79339i | 0.222494 | − | 0.385371i | ||||
\(227\) | 4.67080 | + | 8.09007i | 0.310012 | + | 0.536957i | 0.978365 | − | 0.206888i | \(-0.0663335\pi\) |
−0.668353 | + | 0.743845i | \(0.733000\pi\) | |||||||
\(228\) | 0.459257 | + | 6.12836i | 0.0304151 | + | 0.405861i | ||||
\(229\) | −6.96150 | − | 17.7376i | −0.460029 | − | 1.17213i | −0.953237 | − | 0.302223i | \(-0.902271\pi\) |
0.493208 | − | 0.869911i | \(-0.335824\pi\) | |||||||
\(230\) | −0.297716 | + | 1.30438i | −0.0196308 | + | 0.0860083i | ||||
\(231\) | 15.4875 | + | 7.06876i | 1.01900 | + | 0.465090i | ||||
\(232\) | −4.42248 | − | 19.3761i | −0.290350 | − | 1.27211i | ||||
\(233\) | 12.7829 | − | 8.71526i | 0.837438 | − | 0.570956i | −0.0669063 | − | 0.997759i | \(-0.521313\pi\) |
0.904344 | + | 0.426804i | \(0.140360\pi\) | |||||||
\(234\) | −1.30218 | + | 1.20825i | −0.0851263 | + | 0.0789856i | ||||
\(235\) | −2.35867 | − | 0.355513i | −0.153863 | − | 0.0231911i | ||||
\(236\) | 4.69887 | + | 4.35992i | 0.305870 | + | 0.283806i | ||||
\(237\) | −1.18199 | − | 1.48217i | −0.0767783 | − | 0.0962770i | ||||
\(238\) | −0.562207 | − | 0.928991i | −0.0364424 | − | 0.0602176i | ||||
\(239\) | 5.81621 | − | 7.29330i | 0.376220 | − | 0.471764i | −0.557289 | − | 0.830318i | \(-0.688159\pi\) |
0.933509 | + | 0.358554i | \(0.116730\pi\) | |||||||
\(240\) | 2.37666 | − | 0.358224i | 0.153413 | − | 0.0231233i | ||||
\(241\) | −12.2263 | − | 8.33574i | −0.787565 | − | 0.536952i | 0.101445 | − | 0.994841i | \(-0.467653\pi\) |
−0.889010 | + | 0.457889i | \(0.848606\pi\) | |||||||
\(242\) | −0.565308 | + | 1.44038i | −0.0363394 | + | 0.0925912i | ||||
\(243\) | −3.69771 | − | 1.14059i | −0.237208 | − | 0.0731691i | ||||
\(244\) | 4.71386 | 0.301774 | ||||||||
\(245\) | 0.392148 | + | 3.36422i | 0.0250534 | + | 0.214932i | ||||
\(246\) | 9.59152 | 0.611533 | ||||||||
\(247\) | 24.1566 | + | 7.45133i | 1.53705 | + | 0.474117i | ||||
\(248\) | −4.78028 | + | 12.1799i | −0.303548 | + | 0.773427i | ||||
\(249\) | −20.0352 | − | 13.6598i | −1.26968 | − | 0.865653i | ||||
\(250\) | −5.69353 | + | 0.858162i | −0.360091 | + | 0.0542749i | ||||
\(251\) | −6.59780 | + | 8.27338i | −0.416449 | + | 0.522211i | −0.945167 | − | 0.326587i | \(-0.894102\pi\) |
0.528718 | + | 0.848798i | \(0.322673\pi\) | |||||||
\(252\) | 0.427580 | + | 0.278781i | 0.0269350 | + | 0.0175616i | ||||
\(253\) | −4.95602 | − | 6.21465i | −0.311582 | − | 0.390712i | ||||
\(254\) | −3.94997 | − | 3.66504i | −0.247843 | − | 0.229965i | ||||
\(255\) | −0.296030 | − | 0.0446193i | −0.0185381 | − | 0.00279417i | ||||
\(256\) | 8.41113 | − | 7.80438i | 0.525695 | − | 0.487774i | ||||
\(257\) | −0.755069 | + | 0.514797i | −0.0470999 | + | 0.0321122i | −0.586641 | − | 0.809847i | \(-0.699550\pi\) |
0.539541 | + | 0.841959i | \(0.318598\pi\) | |||||||
\(258\) | −4.22420 | − | 18.5074i | −0.262987 | − | 1.15222i | ||||
\(259\) | −2.99408 | + | 14.4889i | −0.186043 | + | 0.900294i | ||||
\(260\) | −0.215962 | + | 0.946192i | −0.0133934 | + | 0.0586803i | ||||
\(261\) | 0.887133 | + | 2.26038i | 0.0549122 | + | 0.139914i | ||||
\(262\) | 1.42016 | + | 18.9508i | 0.0877380 | + | 1.17078i | ||||
\(263\) | −5.19424 | − | 8.99669i | −0.320291 | − | 0.554760i | 0.660257 | − | 0.751039i | \(-0.270447\pi\) |
−0.980548 | + | 0.196280i | \(0.937114\pi\) | |||||||
\(264\) | −9.86049 | + | 17.0789i | −0.606871 | + | 1.05113i | ||||
\(265\) | −3.93001 | − | 1.89259i | −0.241419 | − | 0.116261i | ||||
\(266\) | −1.13363 | + | 20.9032i | −0.0695074 | + | 1.28166i | ||||
\(267\) | −3.11861 | + | 1.50184i | −0.190856 | + | 0.0919114i | ||||
\(268\) | −0.181012 | + | 2.41543i | −0.0110571 | + | 0.147546i | ||||
\(269\) | 0.387486 | − | 0.119524i | 0.0236254 | − | 0.00728748i | −0.282920 | − | 0.959144i | \(-0.591303\pi\) |
0.306545 | + | 0.951856i | \(0.400827\pi\) | |||||||
\(270\) | 2.71727 | − | 0.838167i | 0.165368 | − | 0.0510092i | ||||
\(271\) | −1.17146 | + | 15.6320i | −0.0711609 | + | 0.949576i | 0.841341 | + | 0.540504i | \(0.181766\pi\) |
−0.912502 | + | 0.409072i | \(0.865853\pi\) | |||||||
\(272\) | 0.820599 | − | 0.395180i | 0.0497561 | − | 0.0239613i | ||||
\(273\) | 15.4105 | − | 10.9789i | 0.932685 | − | 0.664472i | ||||
\(274\) | −12.8699 | − | 6.19780i | −0.777497 | − | 0.374423i | ||||
\(275\) | 8.34705 | − | 14.4575i | 0.503346 | − | 0.871821i | ||||
\(276\) | −1.07385 | − | 1.85996i | −0.0646382 | − | 0.111957i | ||||
\(277\) | −0.937936 | − | 12.5159i | −0.0563551 | − | 0.752007i | −0.951777 | − | 0.306789i | \(-0.900745\pi\) |
0.895422 | − | 0.445218i | \(-0.146874\pi\) | |||||||
\(278\) | 3.89665 | + | 9.92850i | 0.233706 | + | 0.595472i | ||||
\(279\) | 0.355731 | − | 1.55856i | 0.0212970 | − | 0.0933084i | ||||
\(280\) | −3.92265 | + | 0.0808987i | −0.234423 | + | 0.00483462i | ||||
\(281\) | −0.550915 | − | 2.41372i | −0.0328648 | − | 0.143990i | 0.955834 | − | 0.293908i | \(-0.0949561\pi\) |
−0.988698 | + | 0.149918i | \(0.952099\pi\) | |||||||
\(282\) | −9.11735 | + | 6.21610i | −0.542930 | + | 0.370164i | ||||
\(283\) | 16.5720 | − | 15.3765i | 0.985102 | − | 0.914041i | −0.0112023 | − | 0.999937i | \(-0.503566\pi\) |
0.996304 | + | 0.0858964i | \(0.0273754\pi\) | |||||||
\(284\) | −7.28895 | − | 1.09863i | −0.432519 | − | 0.0651918i | ||||
\(285\) | 4.23081 | + | 3.92562i | 0.250612 | + | 0.232534i | ||||
\(286\) | 10.3606 | + | 12.9917i | 0.612632 | + | 0.768217i | ||||
\(287\) | −11.2429 | − | 1.45820i | −0.663650 | − | 0.0860749i | ||||
\(288\) | −0.661806 | + | 0.829878i | −0.0389973 | + | 0.0489011i | ||||
\(289\) | 16.6979 | − | 2.51681i | 0.982232 | − | 0.148048i | ||||
\(290\) | −3.15894 | − | 2.15373i | −0.185499 | − | 0.126471i | ||||
\(291\) | −0.0702377 | + | 0.178963i | −0.00411741 | + | 0.0104910i | ||||
\(292\) | −3.98070 | − | 1.22788i | −0.232953 | − | 0.0718565i | ||||
\(293\) | 14.8118 | 0.865315 | 0.432657 | − | 0.901558i | \(-0.357576\pi\) | ||||
0.432657 | + | 0.901558i | \(0.357576\pi\) | |||||||
\(294\) | 11.9156 | + | 10.1748i | 0.694930 | + | 0.593405i | ||||
\(295\) | 6.01987 | 0.350490 | ||||||||
\(296\) | −16.3771 | − | 5.05166i | −0.951898 | − | 0.293622i | ||||
\(297\) | −6.17219 | + | 15.7265i | −0.358147 | + | 0.912543i | ||||
\(298\) | 5.42895 | + | 3.70140i | 0.314491 | + | 0.214416i | ||||
\(299\) | −8.73590 | + | 1.31673i | −0.505210 | + | 0.0761482i | ||||
\(300\) | 2.81231 | − | 3.52652i | 0.162369 | − | 0.203604i | ||||
\(301\) | 2.13782 | + | 22.3362i | 0.123222 | + | 1.28744i | ||||
\(302\) | −0.860505 | − | 1.07904i | −0.0495165 | − | 0.0620918i | ||||
\(303\) | 5.85907 | + | 5.43642i | 0.336595 | + | 0.312314i | ||||
\(304\) | −17.3628 | − | 2.61702i | −0.995823 | − | 0.150096i | ||||
\(305\) | 3.24519 | − | 3.01109i | 0.185819 | − | 0.172415i | ||||
\(306\) | −0.126980 | + | 0.0865734i | −0.00725896 | + | 0.00494907i | ||||
\(307\) | −5.30365 | − | 23.2368i | −0.302695 | − | 1.32619i | −0.866041 | − | 0.499973i | \(-0.833343\pi\) |
0.563346 | − | 0.826221i | \(-0.309514\pi\) | |||||||
\(308\) | 2.89945 | − | 3.79370i | 0.165211 | − | 0.216166i | ||||
\(309\) | 2.11720 | − | 9.27604i | 0.120443 | − | 0.527696i | ||||
\(310\) | 0.919590 | + | 2.34308i | 0.0522292 | + | 0.133078i | ||||
\(311\) | −0.917379 | − | 12.2416i | −0.0520198 | − | 0.694156i | −0.960864 | − | 0.277020i | \(-0.910653\pi\) |
0.908844 | − | 0.417135i | \(-0.136966\pi\) | |||||||
\(312\) | 10.9593 | + | 18.9820i | 0.620446 | + | 1.07464i | ||||
\(313\) | −6.16297 | + | 10.6746i | −0.348352 | + | 0.603363i | −0.985957 | − | 0.167001i | \(-0.946592\pi\) |
0.637605 | + | 0.770363i | \(0.279925\pi\) | |||||||
\(314\) | −22.3360 | − | 10.7565i | −1.26049 | − | 0.607022i | ||||
\(315\) | 0.472439 | − | 0.0812045i | 0.0266189 | − | 0.00457535i | ||||
\(316\) | −0.479048 | + | 0.230698i | −0.0269486 | + | 0.0129778i | ||||
\(317\) | −2.32511 | + | 31.0264i | −0.130591 | + | 1.74262i | 0.419717 | + | 0.907655i | \(0.362129\pi\) |
−0.550308 | + | 0.834962i | \(0.685490\pi\) | |||||||
\(318\) | −19.2826 | + | 5.94789i | −1.08131 | + | 0.333541i | ||||
\(319\) | 21.7056 | − | 6.69528i | 1.21528 | − | 0.374864i | ||||
\(320\) | 0.320449 | − | 4.27610i | 0.0179136 | − | 0.239041i | ||||
\(321\) | −16.9729 | + | 8.17370i | −0.947333 | + | 0.456212i | ||||
\(322\) | −2.81263 | − | 6.75357i | −0.156742 | − | 0.376362i | ||||
\(323\) | 1.97049 | + | 0.948939i | 0.109641 | + | 0.0528004i | ||||
\(324\) | −2.57173 | + | 4.45437i | −0.142874 | + | 0.247465i | ||||
\(325\) | −9.27717 | − | 16.0685i | −0.514605 | − | 0.891322i | ||||
\(326\) | 0.573353 | + | 7.65087i | 0.0317551 | + | 0.423742i | ||||
\(327\) | 0.489944 | + | 1.24836i | 0.0270940 | + | 0.0690343i | ||||
\(328\) | 2.92234 | − | 12.8036i | 0.161359 | − | 0.706962i | ||||
\(329\) | 11.6322 | − | 5.90025i | 0.641302 | − | 0.325292i | ||||
\(330\) | 0.844191 | + | 3.69864i | 0.0464712 | + | 0.203604i | ||||
\(331\) | 7.99384 | − | 5.45011i | 0.439381 | − | 0.299565i | −0.323351 | − | 0.946279i | \(-0.604810\pi\) |
0.762733 | + | 0.646714i | \(0.223857\pi\) | |||||||
\(332\) | −4.98551 | + | 4.62588i | −0.273615 | + | 0.253878i | ||||
\(333\) | 2.07057 | + | 0.312088i | 0.113467 | + | 0.0171023i | ||||
\(334\) | 13.2778 | + | 12.3200i | 0.726528 | + | 0.674120i | ||||
\(335\) | 1.41830 | + | 1.77849i | 0.0774901 | + | 0.0971695i | ||||
\(336\) | −9.44776 | + | 9.13591i | −0.515418 | + | 0.498405i | ||||
\(337\) | −19.8317 | + | 24.8682i | −1.08030 | + | 1.35466i | −0.149656 | + | 0.988738i | \(0.547817\pi\) |
−0.930647 | + | 0.365919i | \(0.880755\pi\) | |||||||
\(338\) | 2.59861 | − | 0.391677i | 0.141346 | − | 0.0213044i | ||||
\(339\) | 8.33255 | + | 5.68104i | 0.452562 | + | 0.308552i | ||||
\(340\) | −0.0306759 | + | 0.0781610i | −0.00166364 | + | 0.00423888i | ||||
\(341\) | −14.2900 | − | 4.40787i | −0.773845 | − | 0.238700i | ||||
\(342\) | 2.96282 | 0.160211 | ||||||||
\(343\) | −12.4203 | − | 13.7382i | −0.670632 | − | 0.741790i | ||||
\(344\) | −25.9924 | −1.40142 | ||||||||
\(345\) | −1.92737 | − | 0.594516i | −0.103766 | − | 0.0320077i | ||||
\(346\) | 2.11765 | − | 5.39568i | 0.113845 | − | 0.290073i | ||||
\(347\) | 21.4375 | + | 14.6158i | 1.15082 | + | 0.784619i | 0.979668 | − | 0.200625i | \(-0.0642973\pi\) |
0.171156 | + | 0.985244i | \(0.445250\pi\) | |||||||
\(348\) | 6.06876 | − | 0.914718i | 0.325320 | − | 0.0490340i | ||||
\(349\) | 14.0924 | − | 17.6713i | 0.754350 | − | 0.945924i | −0.245374 | − | 0.969428i | \(-0.578911\pi\) |
0.999724 | + | 0.0235040i | \(0.00748224\pi\) | |||||||
\(350\) | 11.0452 | − | 10.6807i | 0.590393 | − | 0.570906i | ||||
\(351\) | 11.7072 | + | 14.6803i | 0.624883 | + | 0.783579i | ||||
\(352\) | 7.27869 | + | 6.75363i | 0.387955 | + | 0.359970i | ||||
\(353\) | 16.8785 | + | 2.54402i | 0.898350 | + | 0.135404i | 0.581953 | − | 0.813223i | \(-0.302289\pi\) |
0.316397 | + | 0.948627i | \(0.397527\pi\) | |||||||
\(354\) | 20.4145 | − | 18.9419i | 1.08502 | − | 1.00675i | ||||
\(355\) | −5.71974 | + | 3.89965i | −0.303572 | + | 0.206972i | ||||
\(356\) | 0.216027 | + | 0.946478i | 0.0114494 | + | 0.0501632i | ||||
\(357\) | 1.45992 | − | 0.740522i | 0.0772670 | − | 0.0391926i | ||||
\(358\) | 6.07948 | − | 26.6359i | 0.321310 | − | 1.40775i | ||||
\(359\) | −1.08167 | − | 2.75605i | −0.0570883 | − | 0.145459i | 0.899484 | − | 0.436954i | \(-0.143943\pi\) |
−0.956572 | + | 0.291495i | \(0.905847\pi\) | |||||||
\(360\) | 0.0414975 | + | 0.553745i | 0.00218711 | + | 0.0291849i | ||||
\(361\) | −11.5819 | − | 20.0605i | −0.609576 | − | 1.05582i | ||||
\(362\) | 9.76314 | − | 16.9103i | 0.513139 | − | 0.888784i | ||||
\(363\) | −2.10168 | − | 1.01212i | −0.110310 | − | 0.0531223i | ||||
\(364\) | −2.04027 | − | 4.89901i | −0.106939 | − | 0.256778i | ||||
\(365\) | −3.52479 | + | 1.69745i | −0.184496 | + | 0.0888487i | ||||
\(366\) | 1.53045 | − | 20.4224i | 0.0799976 | − | 1.06749i | ||||
\(367\) | −30.6947 | + | 9.46806i | −1.60225 | + | 0.494229i | −0.961796 | − | 0.273768i | \(-0.911730\pi\) |
−0.640454 | + | 0.767997i | \(0.721254\pi\) | |||||||
\(368\) | 5.86373 | − | 1.80872i | 0.305668 | − | 0.0942861i | ||||
\(369\) | −0.119909 | + | 1.60008i | −0.00624222 | + | 0.0832966i | ||||
\(370\) | −2.97046 | + | 1.43050i | −0.154427 | + | 0.0743680i | ||||
\(371\) | 23.5068 | − | 4.04044i | 1.22041 | − | 0.209769i | ||||
\(372\) | −3.64039 | − | 1.75312i | −0.188745 | − | 0.0908949i | ||||
\(373\) | −9.31752 | + | 16.1384i | −0.482443 | + | 0.835615i | −0.999797 | − | 0.0201562i | \(-0.993584\pi\) |
0.517354 | + | 0.855771i | \(0.326917\pi\) | |||||||
\(374\) | 0.718814 | + | 1.24502i | 0.0371690 | + | 0.0643785i | ||||
\(375\) | −0.648672 | − | 8.65593i | −0.0334973 | − | 0.446990i | ||||
\(376\) | 5.51994 | + | 14.0646i | 0.284669 | + | 0.725325i | ||||
\(377\) | 5.61773 | − | 24.6129i | 0.289328 | − | 1.26763i | ||||
\(378\) | −9.44191 | + | 12.3540i | −0.485639 | + | 0.635421i | ||||
\(379\) | −3.21589 | − | 14.0898i | −0.165189 | − | 0.723742i | −0.987876 | − | 0.155247i | \(-0.950383\pi\) |
0.822686 | − | 0.568496i | \(-0.192474\pi\) | |||||||
\(380\) | 1.33746 | − | 0.911864i | 0.0686102 | − | 0.0467777i | ||||
\(381\) | 5.95476 | − | 5.52521i | 0.305072 | − | 0.283065i | ||||
\(382\) | 7.97821 | + | 1.20252i | 0.408201 | + | 0.0615264i | ||||
\(383\) | 15.9543 | + | 14.8034i | 0.815224 | + | 0.756418i | 0.972938 | − | 0.231067i | \(-0.0742218\pi\) |
−0.157714 | + | 0.987485i | \(0.550412\pi\) | |||||||
\(384\) | −5.87509 | − | 7.36713i | −0.299812 | − | 0.375952i | ||||
\(385\) | −0.427235 | − | 4.46380i | −0.0217739 | − | 0.227496i | ||||
\(386\) | −1.77974 | + | 2.23172i | −0.0905862 | + | 0.113592i | ||||
\(387\) | 3.14025 | − | 0.473317i | 0.159628 | − | 0.0240601i | ||||
\(388\) | 0.0445516 | + | 0.0303748i | 0.00226177 | + | 0.00154205i | ||||
\(389\) | 2.16278 | − | 5.51067i | 0.109657 | − | 0.279402i | −0.865503 | − | 0.500904i | \(-0.833001\pi\) |
0.975160 | + | 0.221502i | \(0.0710961\pi\) | |||||||
\(390\) | 4.02917 | + | 1.24284i | 0.204025 | + | 0.0629334i | ||||
\(391\) | −0.764325 | −0.0386536 | ||||||||
\(392\) | 17.2126 | − | 12.8059i | 0.869370 | − | 0.646797i | ||||
\(393\) | −28.6492 | −1.44516 | ||||||||
\(394\) | −0.988545 | − | 0.304926i | −0.0498022 | − | 0.0153619i | ||||
\(395\) | −0.182430 | + | 0.464824i | −0.00917905 | + | 0.0233878i | ||||
\(396\) | −0.558363 | − | 0.380685i | −0.0280588 | − | 0.0191302i | ||||
\(397\) | −30.7867 | + | 4.64035i | −1.54514 | + | 0.232892i | −0.865596 | − | 0.500742i | \(-0.833060\pi\) |
−0.679544 | + | 0.733635i | \(0.737822\pi\) | |||||||
\(398\) | −1.17694 | + | 1.47583i | −0.0589945 | + | 0.0739767i | ||||
\(399\) | −31.2967 | − | 4.05916i | −1.56680 | − | 0.203212i | ||||
\(400\) | 8.03525 | + | 10.0759i | 0.401763 | + | 0.503794i | ||||
\(401\) | 3.26789 | + | 3.03216i | 0.163191 | + | 0.151419i | 0.757541 | − | 0.652787i | \(-0.226400\pi\) |
−0.594351 | + | 0.804206i | \(0.702591\pi\) | |||||||
\(402\) | 10.4059 | + | 1.56843i | 0.518998 | + | 0.0782264i | ||||
\(403\) | −12.1838 | + | 11.3050i | −0.606921 | + | 0.563140i | ||||
\(404\) | 1.85219 | − | 1.26280i | 0.0921499 | − | 0.0628267i | ||||
\(405\) | 1.07487 | + | 4.70930i | 0.0534106 | + | 0.234007i | ||||
\(406\) | 20.9014 | − | 0.431060i | 1.03732 | − | 0.0213932i | ||||
\(407\) | 4.35869 | − | 19.0967i | 0.216052 | − | 0.946587i | ||||
\(408\) | 0.692791 | + | 1.76520i | 0.0342982 | + | 0.0873905i | ||||
\(409\) | 2.15951 | + | 28.8167i | 0.106781 | + | 1.42489i | 0.751125 | + | 0.660159i | \(0.229511\pi\) |
−0.644344 | + | 0.764735i | \(0.722870\pi\) | |||||||
\(410\) | −1.26320 | − | 2.18793i | −0.0623850 | − | 0.108054i | ||||
\(411\) | 10.7672 | − | 18.6494i | 0.531109 | − | 0.919908i | ||||
\(412\) | −2.40429 | − | 1.15784i | −0.118451 | − | 0.0570428i | ||||
\(413\) | −26.8091 | + | 19.0996i | −1.31919 | + | 0.939831i | ||||
\(414\) | −0.932885 | + | 0.449254i | −0.0458488 | + | 0.0220796i | ||||
\(415\) | −0.477308 | + | 6.36923i | −0.0234301 | + | 0.312653i | ||||
\(416\) | 10.5454 | − | 3.25283i | 0.517032 | − | 0.159483i | ||||
\(417\) | −15.3648 | + | 4.73941i | −0.752418 | + | 0.232090i | ||||
\(418\) | 2.07118 | − | 27.6380i | 0.101305 | − | 1.35182i | ||||
\(419\) | 4.22512 | − | 2.03471i | 0.206411 | − | 0.0994021i | −0.327822 | − | 0.944739i | \(-0.606315\pi\) |
0.534233 | + | 0.845337i | \(0.320600\pi\) | |||||||
\(420\) | 0.0656110 | − | 1.20981i | 0.00320149 | − | 0.0590328i | ||||
\(421\) | 12.3161 | + | 5.93113i | 0.600250 | + | 0.289065i | 0.709228 | − | 0.704979i | \(-0.249043\pi\) |
−0.108978 | + | 0.994044i | \(0.534758\pi\) | |||||||
\(422\) | 4.53346 | − | 7.85219i | 0.220685 | − | 0.382238i | ||||
\(423\) | −0.923001 | − | 1.59868i | −0.0448778 | − | 0.0777307i | ||||
\(424\) | 2.06476 | + | 27.5523i | 0.100274 | + | 1.33806i | ||||
\(425\) | −0.586457 | − | 1.49427i | −0.0284474 | − | 0.0724827i | ||||
\(426\) | −7.12622 | + | 31.2220i | −0.345267 | + | 1.51271i | ||||
\(427\) | −4.89877 | + | 23.7059i | −0.237068 | + | 1.14721i | ||||
\(428\) | 1.17572 | + | 5.15115i | 0.0568304 | + | 0.248990i | ||||
\(429\) | −20.6980 | + | 14.1117i | −0.999311 | + | 0.681319i | ||||
\(430\) | −3.66541 | + | 3.40101i | −0.176762 | + | 0.164011i | ||||
\(431\) | −17.3702 | − | 2.61814i | −0.836695 | − | 0.126111i | −0.283301 | − | 0.959031i | \(-0.591429\pi\) |
−0.553394 | + | 0.832920i | \(0.686668\pi\) | |||||||
\(432\) | −9.56054 | − | 8.87088i | −0.459982 | − | 0.426801i | ||||
\(433\) | 8.35451 | + | 10.4762i | 0.401492 | + | 0.503455i | 0.940945 | − | 0.338561i | \(-0.109940\pi\) |
−0.539452 | + | 0.842016i | \(0.681369\pi\) | |||||||
\(434\) | −11.5294 | − | 7.51712i | −0.553428 | − | 0.360833i | ||||
\(435\) | 3.59365 | − | 4.50629i | 0.172302 | − | 0.216060i | ||||
\(436\) | 0.371926 | − | 0.0560588i | 0.0178120 | − | 0.00268473i | ||||
\(437\) | 12.1747 | + | 8.30059i | 0.582397 | + | 0.397071i | ||||
\(438\) | −6.61211 | + | 16.8474i | −0.315939 | + | 0.804998i | ||||
\(439\) | 20.4582 | + | 6.31051i | 0.976415 | + | 0.301184i | 0.741590 | − | 0.670854i | \(-0.234072\pi\) |
0.234825 | + | 0.972038i | \(0.424548\pi\) | |||||||
\(440\) | 5.19449 | 0.247638 | ||||||||
\(441\) | −1.84634 | + | 1.86058i | −0.0879209 | + | 0.0885989i | ||||
\(442\) | 1.59782 | 0.0760007 | ||||||||
\(443\) | −4.06343 | − | 1.25340i | −0.193059 | − | 0.0595509i | 0.196718 | − | 0.980460i | \(-0.436972\pi\) |
−0.389777 | + | 0.920909i | \(0.627448\pi\) | |||||||
\(444\) | 1.93354 | − | 4.92659i | 0.0917620 | − | 0.233806i | ||||
\(445\) | 0.753306 | + | 0.513596i | 0.0357101 | + | 0.0243468i | ||||
\(446\) | 6.74494 | − | 1.01664i | 0.319382 | − | 0.0481391i | ||||
\(447\) | −6.17604 | + | 7.74451i | −0.292117 | + | 0.366303i | ||||
\(448\) | 12.1399 | + | 20.0601i | 0.573558 | + | 0.947749i | ||||
\(449\) | 22.8896 | + | 28.7026i | 1.08023 | + | 1.35456i | 0.930691 | + | 0.365805i | \(0.119206\pi\) |
0.149535 | + | 0.988756i | \(0.452222\pi\) | |||||||
\(450\) | −1.59409 | − | 1.47910i | −0.0751461 | − | 0.0697254i | ||||
\(451\) | 14.8421 | + | 2.23709i | 0.698887 | + | 0.105340i | ||||
\(452\) | 2.07345 | − | 1.92388i | 0.0975268 | − | 0.0904917i | ||||
\(453\) | 1.71910 | − | 1.17206i | 0.0807701 | − | 0.0550682i | ||||
\(454\) | −2.53294 | − | 11.0975i | −0.118877 | − | 0.520832i | ||||
\(455\) | −4.53395 | − | 2.06938i | −0.212555 | − | 0.0970139i | ||||
\(456\) | 8.13486 | − | 35.6412i | 0.380950 | − | 1.66905i | ||||
\(457\) | −9.04556 | − | 23.0477i | −0.423133 | − | 1.07813i | −0.970472 | − | 0.241215i | \(-0.922454\pi\) |
0.547338 | − | 0.836911i | \(-0.315641\pi\) | |||||||
\(458\) | 1.73513 | + | 23.1537i | 0.0810772 | + | 1.08190i | ||||
\(459\) | 0.812243 | + | 1.40685i | 0.0379122 | + | 0.0656659i | ||||
\(460\) | −0.282851 | + | 0.489913i | −0.0131880 | + | 0.0228423i | ||||
\(461\) | 26.9651 | + | 12.9857i | 1.25589 | + | 0.604805i | 0.939085 | − | 0.343685i | \(-0.111675\pi\) |
0.316806 | + | 0.948490i | \(0.397390\pi\) | |||||||
\(462\) | −15.4945 | − | 13.7933i | −0.720868 | − | 0.641722i | ||||
\(463\) | −6.14531 | + | 2.95943i | −0.285597 | + | 0.137536i | −0.571198 | − | 0.820812i | \(-0.693521\pi\) |
0.285601 | + | 0.958349i | \(0.407807\pi\) | |||||||
\(464\) | −1.31042 | + | 17.4863i | −0.0608346 | + | 0.811782i | ||||
\(465\) | −3.62602 | + | 1.11848i | −0.168152 | + | 0.0518682i | ||||
\(466\) | −18.0144 | + | 5.55672i | −0.834503 | + | 0.257410i | ||||
\(467\) | −0.363371 | + | 4.84885i | −0.0168148 | + | 0.224378i | 0.982465 | + | 0.186445i | \(0.0596965\pi\) |
−0.999280 | + | 0.0379334i | \(0.987923\pi\) | |||||||
\(468\) | −0.676711 | + | 0.325887i | −0.0312810 | + | 0.0150641i | ||||
\(469\) | −11.9591 | − | 3.42049i | −0.552219 | − | 0.157943i | ||||
\(470\) | 2.61871 | + | 1.26110i | 0.120792 | + | 0.0581704i | ||||
\(471\) | 18.6868 | − | 32.3666i | 0.861045 | − | 1.49137i | ||||
\(472\) | −19.0655 | − | 33.0224i | −0.877559 | − | 1.51998i | ||||
\(473\) | −2.22001 | − | 29.6240i | −0.102076 | − | 1.36211i | ||||
\(474\) | 0.843944 | + | 2.15033i | 0.0387636 | + | 0.0987681i | ||||
\(475\) | −6.88628 | + | 30.1708i | −0.315964 | + | 1.38433i | ||||
\(476\) | −0.111373 | − | 0.445413i | −0.00510477 | − | 0.0204155i | ||||
\(477\) | −0.751175 | − | 3.29111i | −0.0343939 | − | 0.150690i | ||||
\(478\) | −9.39179 | + | 6.40321i | −0.429570 | + | 0.292876i | ||||
\(479\) | 24.8770 | − | 23.0825i | 1.13666 | − | 1.05467i | 0.138731 | − | 0.990330i | \(-0.455698\pi\) |
0.997928 | − | 0.0643360i | \(-0.0204930\pi\) | |||||||
\(480\) | 2.49137 | + | 0.375514i | 0.113715 | + | 0.0171398i | ||||
\(481\) | −15.9589 | − | 14.8077i | −0.727662 | − | 0.675172i | ||||
\(482\) | 11.2422 | + | 14.0972i | 0.512067 | + | 0.642112i | ||||
\(483\) | 10.4697 | − | 3.46746i | 0.476388 | − | 0.157775i | ||||
\(484\) | −0.407918 | + | 0.511513i | −0.0185417 | + | 0.0232506i | ||||
\(485\) | 0.0500735 | − | 0.00754737i | 0.00227372 | − | 0.000342708i | ||||
\(486\) | 3.89589 | + | 2.65617i | 0.176721 | + | 0.120486i | ||||
\(487\) | −2.82654 | + | 7.20192i | −0.128083 | + | 0.326350i | −0.980502 | − | 0.196509i | \(-0.937039\pi\) |
0.852419 | + | 0.522859i | \(0.175135\pi\) | |||||||
\(488\) | −26.7953 | − | 8.26526i | −1.21297 | − | 0.374151i | ||||
\(489\) | −11.5664 | −0.523049 | ||||||||
\(490\) | 0.751696 | − | 4.05808i | 0.0339582 | − | 0.183325i | ||||
\(491\) | 7.86421 | 0.354907 | 0.177453 | − | 0.984129i | \(-0.443214\pi\) | ||||
0.177453 | + | 0.984129i | \(0.443214\pi\) | |||||||
\(492\) | 3.87532 | + | 1.19538i | 0.174713 | + | 0.0538918i | ||||
\(493\) | 0.797959 | − | 2.03317i | 0.0359383 | − | 0.0915693i | ||||
\(494\) | −25.4513 | − | 17.3524i | −1.14511 | − | 0.780721i | ||||
\(495\) | −0.627568 | + | 0.0945907i | −0.0282071 | + | 0.00425154i | ||||
\(496\) | 7.19786 | − | 9.02583i | 0.323194 | − | 0.405272i | ||||
\(497\) | 13.0999 | − | 35.5143i | 0.587610 | − | 1.59303i | ||||
\(498\) | 18.4225 | + | 23.1011i | 0.825534 | + | 1.03519i | ||||
\(499\) | −3.50221 | − | 3.24957i | −0.156780 | − | 0.145471i | 0.597882 | − | 0.801584i | \(-0.296009\pi\) |
−0.754663 | + | 0.656113i | \(0.772199\pi\) | |||||||
\(500\) | −2.40734 | − | 0.362849i | −0.107660 | − | 0.0162271i | ||||
\(501\) | −20.0169 | + | 18.5729i | −0.894287 | + | 0.829777i | ||||
\(502\) | 10.6539 | − | 7.26368i | 0.475505 | − | 0.324194i | ||||
\(503\) | 0.922903 | + | 4.04350i | 0.0411502 | + | 0.180291i | 0.991326 | − | 0.131422i | \(-0.0419544\pi\) |
−0.950176 | + | 0.311713i | \(0.899097\pi\) | |||||||
\(504\) | −1.94171 | − | 2.33441i | −0.0864906 | − | 0.103983i | ||||
\(505\) | 0.468467 | − | 2.05249i | 0.0208465 | − | 0.0913345i | ||||
\(506\) | 3.53862 | + | 9.01625i | 0.157311 | + | 0.400821i | ||||
\(507\) | 0.296063 | + | 3.95069i | 0.0131486 | + | 0.175456i | ||||
\(508\) | −1.13916 | − | 1.97309i | −0.0505422 | − | 0.0875417i | ||||
\(509\) | 8.55705 | − | 14.8213i | 0.379285 | − | 0.656940i | −0.611674 | − | 0.791110i | \(-0.709503\pi\) |
0.990958 | + | 0.134170i | \(0.0428368\pi\) | |||||||
\(510\) | 0.328666 | + | 0.158277i | 0.0145536 | + | 0.00700863i | ||||
\(511\) | 10.3119 | − | 18.7428i | 0.456170 | − | 0.829134i | ||||
\(512\) | −21.8400 | + | 10.5176i | −0.965202 | + | 0.464817i | ||||
\(513\) | 2.34038 | − | 31.2302i | 0.103330 | − | 1.37885i | ||||
\(514\) | 1.06409 | − | 0.328227i | 0.0469348 | − | 0.0144775i | ||||
\(515\) | −2.39480 | + | 0.738697i | −0.105527 | + | 0.0325509i | ||||
\(516\) | 0.599827 | − | 8.00413i | 0.0264059 | − | 0.352362i | ||||
\(517\) | −15.5582 | + | 7.49242i | −0.684248 | + | 0.329516i | ||||
\(518\) | 8.69014 | − | 15.7952i | 0.381823 | − | 0.694001i | ||||
\(519\) | 7.87290 | + | 3.79139i | 0.345582 | + | 0.166424i | ||||
\(520\) | 2.88666 | − | 4.99984i | 0.126588 | − | 0.219257i | ||||
\(521\) | −17.5214 | − | 30.3479i | −0.767625 | − | 1.32957i | −0.938847 | − | 0.344334i | \(-0.888105\pi\) |
0.171222 | − | 0.985232i | \(-0.445228\pi\) | |||||||
\(522\) | −0.221115 | − | 2.95057i | −0.00967793 | − | 0.129143i | ||||
\(523\) | −0.0195189 | − | 0.0497334i | −0.000853502 | − | 0.00217469i | 0.930446 | − | 0.366428i | \(-0.119419\pi\) |
−0.931300 | + | 0.364253i | \(0.881324\pi\) | |||||||
\(524\) | −1.78801 | + | 7.83379i | −0.0781096 | + | 0.342221i | ||||
\(525\) | 14.8122 | + | 17.8079i | 0.646458 | + | 0.777201i | ||||
\(526\) | 2.81679 | + | 12.3412i | 0.122818 | + | 0.538101i | ||||
\(527\) | −1.18809 | + | 0.810023i | −0.0517538 | + | 0.0352852i | ||||
\(528\) | 12.7551 | − | 11.8350i | 0.555094 | − | 0.515052i | ||||
\(529\) | 17.6511 | + | 2.66048i | 0.767439 | + | 0.115673i | ||||
\(530\) | 3.89628 | + | 3.61522i | 0.169244 | + | 0.157035i | ||||
\(531\) | 2.90471 | + | 3.64239i | 0.126054 | + | 0.158066i | ||||
\(532\) | −3.06317 | + | 8.30438i | −0.132805 | + | 0.360040i | ||||
\(533\) | 10.4012 | − | 13.0427i | 0.450528 | − | 0.564944i | ||||
\(534\) | 4.17067 | − | 0.628627i | 0.180482 | − | 0.0272033i | ||||
\(535\) | 4.09983 | + | 2.79521i | 0.177251 | + | 0.120848i | ||||
\(536\) | 5.26415 | − | 13.4128i | 0.227377 | − | 0.579346i | ||||
\(537\) | 39.3577 | + | 12.1402i | 1.69841 | + | 0.523890i | ||||
\(538\) | −0.494110 | −0.0213026 | ||||||||
\(539\) | 16.0653 | + | 18.5238i | 0.691980 | + | 0.797876i | ||||
\(540\) | 1.20234 | 0.0517403 | ||||||||
\(541\) | −18.3452 | − | 5.65875i | −0.788723 | − | 0.243289i | −0.125878 | − | 0.992046i | \(-0.540175\pi\) |
−0.662845 | + | 0.748757i | \(0.730651\pi\) | |||||||
\(542\) | 6.97848 | − | 17.7809i | 0.299751 | − | 0.763754i | ||||
\(543\) | 24.3218 | + | 16.5823i | 1.04375 | + | 0.711615i | ||||
\(544\) | 0.944094 | − | 0.142299i | 0.0404777 | − | 0.00610103i | ||||
\(545\) | 0.220238 | − | 0.276169i | 0.00943395 | − | 0.0118298i | ||||
\(546\) | −21.8869 | + | 7.24872i | −0.936674 | + | 0.310217i | ||||
\(547\) | 6.65592 | + | 8.34625i | 0.284586 | + | 0.356860i | 0.903492 | − | 0.428606i | \(-0.140995\pi\) |
−0.618905 | + | 0.785466i | \(0.712424\pi\) | |||||||
\(548\) | −4.42747 | − | 4.10809i | −0.189132 | − | 0.175489i | ||||
\(549\) | 3.38776 | + | 0.510623i | 0.144586 | + | 0.0217929i | ||||
\(550\) | −14.9118 | + | 13.8361i | −0.635841 | + | 0.589974i | ||||
\(551\) | −34.7907 | + | 23.7199i | −1.48213 | + | 1.01050i | ||||
\(552\) | 2.84291 | + | 12.4556i | 0.121002 | + | 0.530146i | ||||
\(553\) | −0.662335 | − | 2.64888i | −0.0281654 | − | 0.112642i | ||||
\(554\) | −3.40315 | + | 14.9102i | −0.144586 | + | 0.633472i | ||||
\(555\) | −1.81586 | − | 4.62674i | −0.0770790 | − | 0.196394i | ||||
\(556\) | 0.337012 | + | 4.49711i | 0.0142925 | + | 0.190720i | ||||
\(557\) | 8.96714 | + | 15.5315i | 0.379950 | + | 0.658093i | 0.991055 | − | 0.133457i | \(-0.0426078\pi\) |
−0.611105 | + | 0.791550i | \(0.709275\pi\) | |||||||
\(558\) | −0.973985 | + | 1.68699i | −0.0412321 | + | 0.0714160i | ||||
\(559\) | −29.7476 | − | 14.3257i | −1.25819 | − | 0.605912i | ||||
\(560\) | 3.32826 | + | 0.951937i | 0.140645 | + | 0.0402267i | ||||
\(561\) | −1.95266 | + | 0.940351i | −0.0824413 | + | 0.0397016i | ||||
\(562\) | −0.225445 | + | 3.00836i | −0.00950983 | + | 0.126900i | ||||
\(563\) | −8.12445 | + | 2.50606i | −0.342405 | + | 0.105618i | −0.461188 | − | 0.887302i | \(-0.652577\pi\) |
0.118783 | + | 0.992920i | \(0.462101\pi\) | |||||||
\(564\) | −4.45844 | + | 1.37525i | −0.187734 | + | 0.0579084i | ||||
\(565\) | 0.198510 | − | 2.64893i | 0.00835138 | − | 0.111441i | ||||
\(566\) | −24.8188 | + | 11.9521i | −1.04321 | + | 0.502385i | ||||
\(567\) | −19.7284 | − | 17.5623i | −0.828514 | − | 0.737548i | ||||
\(568\) | 39.5067 | + | 19.0254i | 1.65767 | + | 0.798290i | ||||
\(569\) | −20.6457 | + | 35.7595i | −0.865514 | + | 1.49911i | 0.00102143 | + | 0.999999i | \(0.499675\pi\) |
−0.866536 | + | 0.499115i | \(0.833658\pi\) | |||||||
\(570\) | −3.51634 | − | 6.09048i | −0.147283 | − | 0.255102i | ||||
\(571\) | −1.26106 | − | 16.8276i | −0.0527736 | − | 0.704215i | −0.959358 | − | 0.282191i | \(-0.908939\pi\) |
0.906585 | − | 0.422024i | \(-0.138680\pi\) | |||||||
\(572\) | 2.56690 | + | 6.54035i | 0.107327 | + | 0.273466i | ||||
\(573\) | −2.70660 | + | 11.8584i | −0.113070 | + | 0.495392i | ||||
\(574\) | 12.5674 | + | 5.73597i | 0.524551 | + | 0.239415i | ||||
\(575\) | −2.40657 | − | 10.5439i | −0.100361 | − | 0.439709i | ||||
\(576\) | 2.74192 | − | 1.86941i | 0.114247 | − | 0.0778922i | ||||
\(577\) | −7.84027 | + | 7.27471i | −0.326395 | + | 0.302850i | −0.826300 | − | 0.563230i | \(-0.809559\pi\) |
0.499905 | + | 0.866080i | \(0.333368\pi\) | |||||||
\(578\) | −20.3467 | − | 3.06678i | −0.846313 | − | 0.127561i | ||||
\(579\) | −3.15451 | − | 2.92695i | −0.131097 | − | 0.121640i | ||||
\(580\) | −1.00791 | − | 1.26388i | −0.0418512 | − | 0.0524797i | ||||
\(581\) | −18.0824 | − | 29.8794i | −0.750184 | − | 1.23961i | ||||
\(582\) | 0.146061 | − | 0.183154i | 0.00605440 | − | 0.00759198i | ||||
\(583\) | −31.2255 | + | 4.70648i | −1.29323 | + | 0.194923i | ||||
\(584\) | 20.4748 | + | 13.9595i | 0.847254 | + | 0.577648i | ||||
\(585\) | −0.257703 | + | 0.656617i | −0.0106547 | + | 0.0271478i | ||||
\(586\) | −17.2466 | − | 5.31987i | −0.712450 | − | 0.219762i | ||||
\(587\) | 47.8313 | 1.97421 | 0.987105 | − | 0.160072i | \(-0.0511725\pi\) | ||||
0.987105 | + | 0.160072i | \(0.0511725\pi\) | |||||||
\(588\) | 3.54625 | + | 5.59600i | 0.146245 | + | 0.230775i | ||||
\(589\) | 27.7216 | 1.14225 | ||||||||
\(590\) | −7.00943 | − | 2.16212i | −0.288574 | − | 0.0890132i | ||||
\(591\) | 0.569772 | − | 1.45176i | 0.0234373 | − | 0.0597172i | ||||
\(592\) | 12.4939 | + | 8.51819i | 0.513496 | + | 0.350095i | ||||
\(593\) | 12.7059 | − | 1.91510i | 0.521768 | − | 0.0786439i | 0.117123 | − | 0.993117i | \(-0.462633\pi\) |
0.404646 | + | 0.914474i | \(0.367395\pi\) | |||||||
\(594\) | 12.8352 | − | 16.0948i | 0.526634 | − | 0.660378i | ||||
\(595\) | −0.361191 | − | 0.235496i | −0.0148074 | − | 0.00965439i | ||||
\(596\) | 1.73219 | + | 2.17210i | 0.0709534 | + | 0.0889728i | ||||
\(597\) | −2.08607 | − | 1.93559i | −0.0853771 | − | 0.0792183i | ||||
\(598\) | 10.6448 | + | 1.60445i | 0.435300 | + | 0.0656110i | ||||
\(599\) | −28.5281 | + | 26.4702i | −1.16563 | + | 1.08154i | −0.170259 | + | 0.985399i | \(0.554461\pi\) |
−0.995367 | + | 0.0961443i | \(0.969349\pi\) | |||||||
\(600\) | −22.1696 | + | 15.1150i | −0.905070 | + | 0.617066i | ||||
\(601\) | −7.47487 | − | 32.7496i | −0.304907 | − | 1.33588i | −0.862621 | − | 0.505850i | \(-0.831179\pi\) |
0.557715 | − | 0.830033i | \(-0.311678\pi\) | |||||||
\(602\) | 5.53312 | − | 26.7757i | 0.225513 | − | 1.09130i | ||||
\(603\) | −0.391739 | + | 1.71632i | −0.0159528 | + | 0.0698939i | ||||
\(604\) | −0.213196 | − | 0.543215i | −0.00867482 | − | 0.0221031i | ||||
\(605\) | 0.0459163 | + | 0.612710i | 0.00186676 | + | 0.0249102i | ||||
\(606\) | −4.86962 | − | 8.43444i | −0.197815 | − | 0.342626i | ||||
\(607\) | 15.3229 | − | 26.5400i | 0.621937 | − | 1.07723i | −0.367187 | − | 0.930147i | \(-0.619679\pi\) |
0.989125 | − | 0.147080i | \(-0.0469874\pi\) | |||||||
\(608\) | −16.5836 | − | 7.98624i | −0.672553 | − | 0.323885i | ||||
\(609\) | −1.70671 | + | 31.4703i | −0.0691593 | + | 1.27524i | ||||
\(610\) | −4.86011 | + | 2.34051i | −0.196780 | + | 0.0947644i | ||||
\(611\) | −1.43426 | + | 19.1388i | −0.0580238 | + | 0.774274i | ||||
\(612\) | −0.0620940 | + | 0.0191535i | −0.00251000 | + | 0.000774233i | ||||
\(613\) | 5.40164 | − | 1.66619i | 0.218170 | − | 0.0672966i | −0.183743 | − | 0.982974i | \(-0.558821\pi\) |
0.401913 | + | 0.915678i | \(0.368345\pi\) | |||||||
\(614\) | −2.17036 | + | 28.9614i | −0.0875884 | + | 1.16879i | ||||
\(615\) | 3.43148 | − | 1.65252i | 0.138371 | − | 0.0666358i | ||||
\(616\) | −23.1334 | + | 16.4809i | −0.932070 | + | 0.664034i | ||||
\(617\) | −27.0291 | − | 13.0165i | −1.08815 | − | 0.524026i | −0.198237 | − | 0.980154i | \(-0.563521\pi\) |
−0.889914 | + | 0.456128i | \(0.849236\pi\) | |||||||
\(618\) | −5.79685 | + | 10.0404i | −0.233183 | + | 0.403886i | ||||
\(619\) | 7.37348 | + | 12.7712i | 0.296365 | + | 0.513319i | 0.975302 | − | 0.220878i | \(-0.0708921\pi\) |
−0.678936 | + | 0.734197i | \(0.737559\pi\) | |||||||
\(620\) | 0.0795331 | + | 1.06130i | 0.00319412 | + | 0.0426226i | ||||
\(621\) | 3.99855 | + | 10.1882i | 0.160456 | + | 0.408836i | ||||
\(622\) | −3.32856 | + | 14.5834i | −0.133463 | + | 0.584739i | ||||
\(623\) | −4.98433 | + | 0.102794i | −0.199693 | + | 0.00411836i | ||||
\(624\) | −4.30330 | − | 18.8540i | −0.172270 | − | 0.754764i | ||||
\(625\) | 17.7997 | − | 12.1356i | 0.711988 | − | 0.485425i | ||||
\(626\) | 11.0100 | − | 10.2158i | 0.440047 | − | 0.408304i | ||||
\(627\) | 41.3156 | + | 6.22733i | 1.64999 | + | 0.248695i | ||||
\(628\) | −7.68399 | − | 7.12970i | −0.306625 | − | 0.284506i | ||||
\(629\) | −1.17433 | − | 1.47256i | −0.0468235 | − | 0.0587149i | ||||
\(630\) | −0.579265 | − | 0.0751302i | −0.0230785 | − | 0.00299326i | ||||
\(631\) | 4.85334 | − | 6.08590i | 0.193209 | − | 0.242276i | −0.675786 | − | 0.737098i | \(-0.736195\pi\) |
0.868994 | + | 0.494822i | \(0.164767\pi\) | |||||||
\(632\) | 3.12759 | − | 0.471409i | 0.124409 | − | 0.0187516i | ||||
\(633\) | 11.2937 | + | 7.69990i | 0.448884 | + | 0.306044i | ||||
\(634\) | 13.8509 | − | 35.2915i | 0.550089 | − | 1.40160i | ||||
\(635\) | −2.04460 | − | 0.630675i | −0.0811374 | − | 0.0250276i | ||||
\(636\) | −8.53213 | −0.338321 | ||||||||
\(637\) | 26.7574 | − | 5.16930i | 1.06016 | − | 0.204815i | ||||
\(638\) | −27.6783 | −1.09579 | ||||||||
\(639\) | −5.11942 | − | 1.57913i | −0.202521 | − | 0.0624695i | ||||
\(640\) | −0.906772 | + | 2.31042i | −0.0358433 | + | 0.0913273i | ||||
\(641\) | 1.71913 | + | 1.17208i | 0.0679015 | + | 0.0462945i | 0.596795 | − | 0.802394i | \(-0.296441\pi\) |
−0.528894 | + | 0.848688i | \(0.677393\pi\) | |||||||
\(642\) | 22.6986 | − | 3.42126i | 0.895843 | − | 0.135027i | ||||
\(643\) | −3.39064 | + | 4.25173i | −0.133714 | + | 0.167672i | −0.844181 | − | 0.536059i | \(-0.819912\pi\) |
0.710467 | + | 0.703731i | \(0.248484\pi\) | |||||||
\(644\) | −0.294715 | − | 3.07922i | −0.0116134 | − | 0.121338i | ||||
\(645\) | −4.69989 | − | 5.89348i | −0.185058 | − | 0.232055i | ||||
\(646\) | −1.95358 | − | 1.81266i | −0.0768626 | − | 0.0713181i | ||||
\(647\) | −35.3311 | − | 5.32530i | −1.38901 | − | 0.209359i | −0.588410 | − | 0.808563i | \(-0.700246\pi\) |
−0.800597 | + | 0.599203i | \(0.795484\pi\) | |||||||
\(648\) | 22.4290 | − | 20.8110i | 0.881093 | − | 0.817535i | ||||
\(649\) | 36.0077 | − | 24.5497i | 1.41343 | − | 0.963659i | ||||
\(650\) | 5.03093 | + | 22.0419i | 0.197329 | + | 0.864556i | ||||
\(651\) | 12.5996 | − | 16.4856i | 0.493817 | − | 0.646120i | ||||
\(652\) | −0.721862 | + | 3.16268i | −0.0282703 | + | 0.123860i | ||||
\(653\) | 15.9219 | + | 40.5683i | 0.623071 | + | 1.58756i | 0.797787 | + | 0.602940i | \(0.206004\pi\) |
−0.174716 | + | 0.984619i | \(0.555901\pi\) | |||||||
\(654\) | −0.122117 | − | 1.62954i | −0.00477514 | − | 0.0637199i | ||||
\(655\) | 3.77309 | + | 6.53519i | 0.147427 | + | 0.255351i | ||||
\(656\) | −5.79362 | + | 10.0349i | −0.226203 | + | 0.391795i | ||||
\(657\) | −2.72785 | − | 1.31366i | −0.106423 | − | 0.0512508i | ||||
\(658\) | −15.6635 | + | 2.69229i | −0.610625 | + | 0.104956i | ||||
\(659\) | −35.2017 | + | 16.9523i | −1.37127 | + | 0.660366i | −0.967118 | − | 0.254328i | \(-0.918146\pi\) |
−0.404147 | + | 0.914694i | \(0.632432\pi\) | |||||||
\(660\) | −0.119873 | + | 1.59960i | −0.00466606 | + | 0.0622642i | ||||
\(661\) | −12.9097 | + | 3.98211i | −0.502129 | + | 0.154886i | −0.535464 | − | 0.844558i | \(-0.679863\pi\) |
0.0333354 | + | 0.999444i | \(0.489387\pi\) | |||||||
\(662\) | −11.2654 | + | 3.47491i | −0.437841 | + | 0.135056i | ||||
\(663\) | −0.180009 | + | 2.40205i | −0.00699097 | + | 0.0932880i | ||||
\(664\) | 36.4505 | − | 17.5536i | 1.41455 | − | 0.681213i | ||||
\(665\) | 3.19583 | + | 7.67370i | 0.123929 | + | 0.297573i | ||||
\(666\) | −2.29885 | − | 1.10707i | −0.0890785 | − | 0.0428979i | ||||
\(667\) | 7.35769 | − | 12.7439i | 0.284891 | − | 0.493445i | ||||
\(668\) | 3.82928 | + | 6.63251i | 0.148159 | + | 0.256620i | ||||
\(669\) | 0.768461 | + | 10.2544i | 0.0297104 | + | 0.396458i | ||||
\(670\) | −1.01267 | − | 2.58025i | −0.0391230 | − | 0.0996838i | ||||
\(671\) | 7.13147 | − | 31.2450i | 0.275307 | − | 1.20620i | ||||
\(672\) | −12.2866 | + | 6.23221i | −0.473966 | + | 0.240413i | ||||
\(673\) | −3.22835 | − | 14.1443i | −0.124444 | − | 0.545225i | −0.998260 | − | 0.0589677i | \(-0.981219\pi\) |
0.873816 | − | 0.486257i | \(-0.161638\pi\) | |||||||
\(674\) | 32.0235 | − | 21.8332i | 1.23350 | − | 0.840985i | ||||
\(675\) | −16.8500 | + | 15.6345i | −0.648556 | + | 0.601772i | ||||
\(676\) | 1.09874 | + | 0.165609i | 0.0422594 | + | 0.00636958i | ||||
\(677\) | −29.7279 | − | 27.5834i | −1.14254 | − | 1.06012i | −0.997498 | − | 0.0706918i | \(-0.977479\pi\) |
−0.145037 | − | 0.989426i | \(-0.546330\pi\) | |||||||
\(678\) | −7.66185 | − | 9.60765i | −0.294251 | − | 0.368980i | ||||
\(679\) | −0.199054 | + | 0.192483i | −0.00763898 | + | 0.00738683i | ||||
\(680\) | 0.311421 | − | 0.390509i | 0.0119424 | − | 0.0149753i | ||||
\(681\) | 16.9686 | − | 2.55760i | 0.650238 | − | 0.0980075i | ||||
\(682\) | 15.0558 | + | 10.2649i | 0.576518 | + | 0.393063i | ||||
\(683\) | −1.28225 | + | 3.26713i | −0.0490641 | + | 0.125013i | −0.953305 | − | 0.302010i | \(-0.902342\pi\) |
0.904241 | + | 0.427023i | \(0.140438\pi\) | |||||||
\(684\) | 1.19709 | + | 0.369252i | 0.0457717 | + | 0.0141187i | ||||
\(685\) | −5.67217 | −0.216722 | ||||||||
\(686\) | 9.52769 | + | 20.4574i | 0.363769 | + | 0.781066i | ||||
\(687\) | −35.0031 | −1.33545 | ||||||||
\(688\) | 21.9144 | + | 6.75971i | 0.835480 | + | 0.257712i | ||||
\(689\) | −12.8224 | + | 32.6708i | −0.488493 | + | 1.24466i | ||||
\(690\) | 2.03067 | + | 1.38449i | 0.0773063 | + | 0.0527065i | ||||
\(691\) | 27.8663 | − | 4.20016i | 1.06008 | − | 0.159782i | 0.404220 | − | 0.914662i | \(-0.367543\pi\) |
0.655863 | + | 0.754880i | \(0.272305\pi\) | |||||||
\(692\) | 1.52806 | − | 1.91613i | 0.0580882 | − | 0.0728403i | ||||
\(693\) | 2.49473 | − | 2.41238i | 0.0947668 | − | 0.0916387i | ||||
\(694\) | −19.7119 | − | 24.7180i | −0.748255 | − | 0.938282i | ||||
\(695\) | 3.10465 | + | 2.88069i | 0.117766 | + | 0.109271i | ||||
\(696\) | −36.1009 | − | 5.44134i | −1.36840 | − | 0.206254i | ||||
\(697\) | 1.05799 | − | 0.981675i | 0.0400744 | − | 0.0371836i | ||||
\(698\) | −22.7559 | + | 15.5147i | −0.861322 | + | 0.587240i | ||||
\(699\) | −6.32409 | − | 27.7076i | −0.239199 | − | 1.04800i | ||||
\(700\) | 5.79380 | − | 2.93882i | 0.218985 | − | 0.111077i | ||||
\(701\) | 3.42531 | − | 15.0073i | 0.129372 | − | 0.566817i | −0.868140 | − | 0.496320i | \(-0.834684\pi\) |
0.997512 | − | 0.0704971i | \(-0.0224585\pi\) | |||||||
\(702\) | −8.35898 | − | 21.2983i | −0.315489 | − | 0.803854i | ||||
\(703\) | 2.71351 | + | 36.2093i | 0.102342 | + | 1.36566i | ||||
\(704\) | −15.5216 | − | 26.8842i | −0.584993 | − | 1.01324i | ||||
\(705\) | −2.19087 | + | 3.79471i | −0.0825131 | + | 0.142917i | ||||
\(706\) | −18.7393 | − | 9.02435i | −0.705261 | − | 0.339636i | ||||
\(707\) | 4.42577 | + | 10.6270i | 0.166448 | + | 0.399668i | ||||
\(708\) | 10.6089 | − | 5.10898i | 0.398707 | − | 0.192007i | ||||
\(709\) | 1.88110 | − | 25.1016i | 0.0706463 | − | 0.942709i | −0.843449 | − | 0.537209i | \(-0.819479\pi\) |
0.914095 | − | 0.405499i | \(-0.132902\pi\) | |||||||
\(710\) | 8.06059 | − | 2.48636i | 0.302508 | − | 0.0933115i | ||||
\(711\) | −0.369273 | + | 0.113906i | −0.0138488 | + | 0.00427180i | ||||
\(712\) | 0.431571 | − | 5.75891i | 0.0161738 | − | 0.215824i | ||||
\(713\) | −8.72853 | + | 4.20344i | −0.326886 | + | 0.157420i | ||||
\(714\) | −1.96587 | + | 0.337901i | −0.0735709 | + | 0.0126456i | ||||
\(715\) | 5.94495 | + | 2.86294i | 0.222328 | + | 0.107068i | ||||
\(716\) | 5.77593 | − | 10.0042i | 0.215857 | − | 0.373875i | ||||
\(717\) | −8.56807 | − | 14.8403i | −0.319980 | − | 0.554222i | ||||
\(718\) | 0.269602 | + | 3.59759i | 0.0100615 | + | 0.134261i | ||||
\(719\) | −6.59793 | − | 16.8112i | −0.246061 | − | 0.626954i | 0.753473 | − | 0.657479i | \(-0.228377\pi\) |
−0.999534 | + | 0.0305254i | \(0.990282\pi\) | |||||||
\(720\) | 0.109023 | − | 0.477659i | 0.00406303 | − | 0.0178013i | ||||
\(721\) | 8.32138 | − | 10.8879i | 0.309904 | − | 0.405485i | ||||
\(722\) | 6.28079 | + | 27.5179i | 0.233747 | + | 1.02411i | ||||
\(723\) | −22.4593 | + | 15.3125i | −0.835271 | + | 0.569478i | ||||
\(724\) | 6.05217 | − | 5.61559i | 0.224927 | − | 0.208702i | ||||
\(725\) | 30.5600 | + | 4.60618i | 1.13497 | + | 0.171069i | ||||
\(726\) | 2.08364 | + | 1.93334i | 0.0773313 | + | 0.0717529i | ||||
\(727\) | 15.8416 | + | 19.8647i | 0.587531 | + | 0.736740i | 0.983377 | − | 0.181577i | \(-0.0581201\pi\) |
−0.395846 | + | 0.918317i | \(0.629549\pi\) | |||||||
\(728\) | 3.00774 | + | 31.4252i | 0.111474 | + | 1.16469i | ||||
\(729\) | 14.2412 | − | 17.8579i | 0.527451 | − | 0.661403i | ||||
\(730\) | 4.71387 | − | 0.710502i | 0.174468 | − | 0.0262969i | ||||
\(731\) | −2.36015 | − | 1.60913i | −0.0872934 | − | 0.0595157i | ||||
\(732\) | 3.16357 | − | 8.06064i | 0.116929 | − | 0.297930i | ||||
\(733\) | 35.7234 | + | 11.0192i | 1.31947 | + | 0.407004i | 0.872968 | − | 0.487777i | \(-0.162192\pi\) |
0.446505 | + | 0.894781i | \(0.352668\pi\) | |||||||
\(734\) | 39.1409 | 1.44472 | ||||||||
\(735\) | 6.01594 | + | 1.58723i | 0.221901 | + | 0.0585457i | ||||
\(736\) | 6.43253 | 0.237106 | ||||||||
\(737\) | 15.7364 | + | 4.85405i | 0.579659 | + | 0.178801i | ||||
\(738\) | 0.714310 | − | 1.82003i | 0.0262941 | − | 0.0669963i | ||||
\(739\) | −5.03505 | − | 3.43284i | −0.185217 | − | 0.126279i | 0.467162 | − | 0.884172i | \(-0.345277\pi\) |
−0.652379 | + | 0.757893i | \(0.726229\pi\) | |||||||
\(740\) | −1.37845 | + | 0.207768i | −0.0506730 | + | 0.00763772i | ||||
\(741\) | 28.9537 | − | 36.3068i | 1.06364 | − | 1.33376i | ||||
\(742\) | −28.8221 | − | 3.73820i | −1.05809 | − | 0.137234i | ||||
\(743\) | −29.4648 | − | 36.9477i | −1.08096 | − | 1.35548i | −0.930261 | − | 0.366899i | \(-0.880419\pi\) |
−0.150698 | − | 0.988580i | \(-0.548152\pi\) | |||||||
\(744\) | 17.6194 | + | 16.3484i | 0.645959 | + | 0.599362i | ||||
\(745\) | 2.57999 | + | 0.388870i | 0.0945233 | + | 0.0142471i | ||||
\(746\) | 16.6455 | − | 15.4448i | 0.609435 | − | 0.565473i | ||||
\(747\) | −4.08409 | + | 2.78448i | −0.149429 | + | 0.101879i | ||||
\(748\) | 0.135261 | + | 0.592619i | 0.00494564 | + | 0.0216683i | ||||
\(749\) | −27.1269 | + | 0.559451i | −0.991195 | + | 0.0204419i | ||||
\(750\) | −2.35360 | + | 10.3118i | −0.0859413 | + | 0.376534i | ||||
\(751\) | 10.0770 | + | 25.6758i | 0.367715 | + | 0.936923i | 0.988264 | + | 0.152755i | \(0.0488147\pi\) |
−0.620549 | + | 0.784168i | \(0.713090\pi\) | |||||||
\(752\) | −0.996211 | − | 13.2935i | −0.0363281 | − | 0.484765i | ||||
\(753\) | 9.71945 | + | 16.8346i | 0.354196 | + | 0.613486i | ||||
\(754\) | −15.3812 | + | 26.6411i | −0.560152 | + | 0.970212i | ||||
\(755\) | −0.493763 | − | 0.237784i | −0.0179699 | − | 0.00865384i | ||||
\(756\) | −5.35453 | + | 3.81473i | −0.194742 | + | 0.138740i | ||||
\(757\) | −20.5176 | + | 9.88077i | −0.745726 | + | 0.359123i | −0.767848 | − | 0.640633i | \(-0.778672\pi\) |
0.0221216 | + | 0.999755i | \(0.492958\pi\) | |||||||
\(758\) | −1.31601 | + | 17.5609i | −0.0477995 | + | 0.637841i | ||||
\(759\) | −13.9530 | + | 4.30395i | −0.506464 | + | 0.156223i | ||||
\(760\) | −9.20147 | + | 2.83828i | −0.333773 | + | 0.102955i | ||||
\(761\) | −3.97581 | + | 53.0534i | −0.144123 | + | 1.92319i | 0.192050 | + | 0.981385i | \(0.438487\pi\) |
−0.336172 | + | 0.941800i | \(0.609132\pi\) | |||||||
\(762\) | −8.91808 | + | 4.29472i | −0.323068 | + | 0.155581i | ||||
\(763\) | −0.104596 | + | 1.92867i | −0.00378664 | + | 0.0698224i | ||||
\(764\) | 3.07362 | + | 1.48018i | 0.111200 | + | 0.0535509i | ||||
\(765\) | −0.0305129 | + | 0.0528499i | −0.00110320 | + | 0.00191079i | ||||
\(766\) | −13.2600 | − | 22.9670i | −0.479103 | − | 0.829831i | ||||
\(767\) | −3.61966 | − | 48.3011i | −0.130698 | − | 1.74405i | ||||
\(768\) | −7.70052 | − | 19.6206i | −0.277868 | − | 0.707997i | ||||
\(769\) | −6.46382 | + | 28.3198i | −0.233091 | + | 1.02124i | 0.713968 | + | 0.700179i | \(0.246896\pi\) |
−0.947059 | + | 0.321060i | \(0.895961\pi\) | |||||||
\(770\) | −1.10577 | + | 5.35102i | −0.0398493 | + | 0.192837i | ||||
\(771\) | 0.373555 | + | 1.63665i | 0.0134532 | + | 0.0589425i | ||||
\(772\) | −0.997214 | + | 0.679889i | −0.0358905 | + | 0.0244698i | ||||
\(773\) | −6.53636 | + | 6.06486i | −0.235097 | + | 0.218138i | −0.788919 | − | 0.614497i | \(-0.789359\pi\) |
0.553823 | + | 0.832635i | \(0.313169\pi\) | |||||||
\(774\) | −3.82646 | − | 0.576745i | −0.137539 | − | 0.0207307i | ||||
\(775\) | −14.9151 | − | 13.8392i | −0.535766 | − | 0.497118i | ||||
\(776\) | −0.199989 | − | 0.250778i | −0.00717918 | − | 0.00900241i | ||||
\(777\) | 22.7664 | + | 14.8436i | 0.816739 | + | 0.532512i | ||||
\(778\) | −4.49753 | + | 5.63973i | −0.161244 | + | 0.202194i | ||||
\(779\) | −27.5135 | + | 4.14699i | −0.985774 | + | 0.148581i | ||||
\(780\) | 1.47304 | + | 1.00430i | 0.0527433 | + | 0.0359598i | ||||
\(781\) | −18.3093 | + | 46.6514i | −0.655160 | + | 1.66932i | ||||
\(782\) | 0.889967 | + | 0.274518i | 0.0318252 | + | 0.00981676i | ||||
\(783\) | −31.2758 | −1.11771 | ||||||||
\(784\) | −17.8425 | + | 6.32039i | −0.637232 | + | 0.225728i | ||||
\(785\) | −9.84420 | −0.351355 | ||||||||
\(786\) | 33.3587 | + | 10.2898i | 1.18986 | + | 0.367025i | ||||
\(787\) | 6.30813 | − | 16.0729i | 0.224861 | − | 0.572936i | −0.773268 | − | 0.634079i | \(-0.781379\pi\) |
0.998129 | + | 0.0611433i | \(0.0194747\pi\) | |||||||
\(788\) | −0.361405 | − | 0.246402i | −0.0128745 | − | 0.00877771i | ||||
\(789\) | −18.8702 | + | 2.84422i | −0.671796 | + | 0.101257i | ||||
\(790\) | 0.379367 | − | 0.475711i | 0.0134973 | − | 0.0169250i | ||||
\(791\) | 7.52038 | + | 12.4267i | 0.267394 | + | 0.441842i | ||||
\(792\) | 2.50645 | + | 3.14299i | 0.0890628 | + | 0.111681i | ||||
\(793\) | −26.1111 | − | 24.2276i | −0.927232 | − | 0.860346i | ||||
\(794\) | 37.5141 | + | 5.65435i | 1.33133 | + | 0.200665i | ||||
\(795\) | −5.87382 | + | 5.45011i | −0.208323 | + | 0.193295i | ||||
\(796\) | −0.659456 | + | 0.449609i | −0.0233738 | + | 0.0159360i | ||||
\(797\) | −0.752292 | − | 3.29601i | −0.0266476 | − | 0.116751i | 0.959855 | − | 0.280497i | \(-0.0904993\pi\) |
−0.986502 | + | 0.163746i | \(0.947642\pi\) | |||||||
\(798\) | 34.9835 | + | 15.9671i | 1.23840 | + | 0.565229i | ||||
\(799\) | −0.369483 | + | 1.61881i | −0.0130714 | + | 0.0572694i | ||||
\(800\) | 4.93560 | + | 12.5757i | 0.174500 | + | 0.444619i | ||||
\(801\) | 0.0527288 | + | 0.703617i | 0.00186308 | + | 0.0248611i | ||||
\(802\) | −2.71603 | − | 4.70430i | −0.0959064 | − | 0.166115i | ||||
\(803\) | −14.1611 | + | 24.5278i | −0.499735 | + | 0.865566i | ||||
\(804\) | 4.00888 | + | 1.93057i | 0.141382 | + | 0.0680861i | ||||
\(805\) | −2.16982 | − | 1.93159i | −0.0764761 | − | 0.0680795i | ||||
\(806\) | 18.2470 | − | 8.78729i | 0.642723 | − | 0.309519i | ||||
\(807\) | 0.0556660 | − | 0.742811i | 0.00195953 | − | 0.0261482i | ||||
\(808\) | −12.7427 | + | 3.93061i | −0.448287 | + | 0.138278i | ||||
\(809\) | 11.7089 | − | 3.61171i | 0.411662 | − | 0.126981i | −0.0820050 | − | 0.996632i | \(-0.526132\pi\) |
0.493667 | + | 0.869651i | \(0.335656\pi\) | |||||||
\(810\) | 0.439857 | − | 5.86948i | 0.0154550 | − | 0.206233i | ||||
\(811\) | −3.22236 | + | 1.55181i | −0.113152 | + | 0.0544913i | −0.489604 | − | 0.871945i | \(-0.662859\pi\) |
0.376451 | + | 0.926436i | \(0.377144\pi\) | |||||||
\(812\) | 8.49866 | + | 2.43075i | 0.298244 | + | 0.0853027i | ||||
\(813\) | 25.9443 | + | 12.4941i | 0.909907 | + | 0.438188i | ||||
\(814\) | −11.9340 | + | 20.6703i | −0.418287 | + | 0.724495i | ||||
\(815\) | 1.52329 | + | 2.63841i | 0.0533584 | + | 0.0924194i | ||||
\(816\) | −0.125031 | − | 1.66843i | −0.00437697 | − | 0.0584066i | ||||
\(817\) | 20.1191 | + | 51.2627i | 0.703879 | + | 1.79345i | ||||
\(818\) | 7.83544 | − | 34.3293i | 0.273960 | − | 1.20030i | ||||
\(819\) | −0.935624 | − | 3.74184i | −0.0326933 | − | 0.130750i | ||||
\(820\) | −0.237700 | − | 1.04143i | −0.00830084 | − | 0.0363684i | ||||
\(821\) | 26.7879 | − | 18.2636i | 0.934903 | − | 0.637406i | 0.00295371 | − | 0.999996i | \(-0.499060\pi\) |
0.931949 | + | 0.362590i | \(0.118107\pi\) | |||||||
\(822\) | −19.2354 | + | 17.8478i | −0.670911 | + | 0.622515i | ||||
\(823\) | −25.5125 | − | 3.84539i | −0.889310 | − | 0.134042i | −0.311532 | − | 0.950236i | \(-0.600842\pi\) |
−0.577778 | + | 0.816194i | \(0.696080\pi\) | |||||||
\(824\) | 11.6367 | + | 10.7973i | 0.405384 | + | 0.376141i | ||||
\(825\) | −19.1203 | − | 23.9761i | −0.665683 | − | 0.834740i | ||||
\(826\) | 38.0760 | − | 12.6104i | 1.32483 | − | 0.438771i | ||||
\(827\) | 5.37221 | − | 6.73653i | 0.186810 | − | 0.234252i | −0.679603 | − | 0.733580i | \(-0.737848\pi\) |
0.866413 | + | 0.499328i | \(0.166420\pi\) | |||||||
\(828\) | −0.432909 | + | 0.0652505i | −0.0150446 | + | 0.00226761i | ||||
\(829\) | −35.9939 | − | 24.5402i | −1.25012 | − | 0.852318i | −0.256661 | − | 0.966502i | \(-0.582622\pi\) |
−0.993460 | + | 0.114184i | \(0.963575\pi\) | |||||||
\(830\) | 2.84337 | − | 7.24478i | 0.0986948 | − | 0.251470i | ||||
\(831\) | −22.0315 | − | 6.79581i | −0.764263 | − | 0.235744i | ||||
\(832\) | −34.5024 | −1.19616 | ||||||||
\(833\) | 2.35572 | − | 0.0972075i | 0.0816208 | − | 0.00336804i | ||||
\(834\) | 19.5927 | 0.678441 | ||||||||
\(835\) | 6.87289 | + | 2.12001i | 0.237846 | + | 0.0733658i | ||||
\(836\) | 4.28131 | − | 10.9086i | 0.148072 | − | 0.377282i | ||||
\(837\) | 17.0127 | + | 11.5991i | 0.588046 | + | 0.400923i | ||||
\(838\) | −5.65045 | + | 0.851668i | −0.195192 | + | 0.0294204i | ||||
\(839\) | −26.0318 | + | 32.6429i | −0.898719 | + | 1.12696i | 0.0926298 | + | 0.995701i | \(0.470473\pi\) |
−0.991348 | + | 0.131257i | \(0.958099\pi\) | |||||||
\(840\) | −2.49424 | + | 6.76198i | −0.0860594 | + | 0.233310i | ||||
\(841\) | 8.13710 | + | 10.2036i | 0.280590 | + | 0.351848i | ||||
\(842\) | −12.2104 | − | 11.3296i | −0.420799 | − | 0.390444i | ||||
\(843\) | −4.49715 | − | 0.677837i | −0.154890 | − | 0.0233459i | ||||
\(844\) | 2.81029 | − | 2.60757i | 0.0967341 | − | 0.0897562i | ||||
\(845\) | 0.862201 | − | 0.587839i | 0.0296606 | − | 0.0202223i | ||||
\(846\) | 0.500535 | + | 2.19299i | 0.0172088 | + | 0.0753965i | ||||
\(847\) | −2.14847 | − | 2.58299i | −0.0738223 | − | 0.0887526i | ||||
\(848\) | 5.42457 | − | 23.7666i | 0.186280 | − | 0.816148i | ||||
\(849\) | −15.1719 | − | 38.6574i | −0.520698 | − | 1.32672i | ||||
\(850\) | 0.146172 | + | 1.95054i | 0.00501367 | + | 0.0669028i | ||||
\(851\) | −6.34482 | − | 10.9895i | −0.217498 | − | 0.376717i | ||||
\(852\) | −6.77041 | + | 11.7267i | −0.231950 | + | 0.401750i | ||||
\(853\) | 51.3099 | + | 24.7095i | 1.75682 | + | 0.846039i | 0.974896 | + | 0.222663i | \(0.0714749\pi\) |
0.781922 | + | 0.623376i | \(0.214239\pi\) | |||||||
\(854\) | 14.2184 | − | 25.8433i | 0.486542 | − | 0.884340i | ||||
\(855\) | 1.05998 | − | 0.510461i | 0.0362507 | − | 0.0174574i | ||||
\(856\) | 2.34880 | − | 31.3425i | 0.0802803 | − | 1.07127i | ||||
\(857\) | 20.5900 | − | 6.35118i | 0.703341 | − | 0.216952i | 0.0776021 | − | 0.996984i | \(-0.475274\pi\) |
0.625739 | + | 0.780032i | \(0.284797\pi\) | |||||||
\(858\) | 29.1689 | − | 8.99740i | 0.995808 | − | 0.307166i | ||||
\(859\) | 0.645342 | − | 8.61149i | 0.0220188 | − | 0.293820i | −0.975313 | − | 0.220825i | \(-0.929125\pi\) |
0.997332 | − | 0.0729954i | \(-0.0232558\pi\) | |||||||
\(860\) | −1.90482 | + | 0.917314i | −0.0649539 | + | 0.0312802i | ||||
\(861\) | −10.0389 | + | 18.2467i | −0.342124 | + | 0.621845i | ||||
\(862\) | 19.2853 | + | 9.28729i | 0.656858 | + | 0.316326i | ||||
\(863\) | 4.07461 | − | 7.05743i | 0.138701 | − | 0.240238i | −0.788304 | − | 0.615286i | \(-0.789041\pi\) |
0.927005 | + | 0.375048i | \(0.122374\pi\) | |||||||
\(864\) | −6.83580 | − | 11.8400i | −0.232559 | − | 0.402804i | ||||
\(865\) | −0.172003 | − | 2.29522i | −0.00584827 | − | 0.0780397i | ||||
\(866\) | −5.96516 | − | 15.1990i | −0.202704 | − | 0.516482i | ||||
\(867\) | 6.90262 | − | 30.2423i | 0.234425 | − | 1.02708i | ||||
\(868\) | −3.72143 | − | 4.47408i | −0.126314 | − | 0.151860i | ||||
\(869\) | 0.804400 | + | 3.52431i | 0.0272874 | + | 0.119554i | ||||
\(870\) | −5.80288 | + | 3.95634i | −0.196736 | + | 0.134132i | ||||
\(871\) | 13.4171 | − | 12.4493i | 0.454622 | − | 0.421828i | ||||
\(872\) | −2.21246 | − | 0.333474i | −0.0749233 | − | 0.0112929i | ||||
\(873\) | 0.0287281 | + | 0.0266558i | 0.000972300 | + | 0.000902162i | ||||
\(874\) | −11.1948 | − | 14.0378i | −0.378669 | − | 0.474836i | ||||
\(875\) | 4.32654 | − | 11.7294i | 0.146264 | − | 0.396527i | ||||
\(876\) | −4.77119 | + | 5.98289i | −0.161204 | + | 0.202143i | ||||
\(877\) | 17.2811 | − | 2.60470i | 0.583540 | − | 0.0879545i | 0.149364 | − | 0.988782i | \(-0.452278\pi\) |
0.434177 | + | 0.900828i | \(0.357039\pi\) | |||||||
\(878\) | −21.5546 | − | 14.6957i | −0.727433 | − | 0.495955i | ||||
\(879\) | 9.94050 | − | 25.3280i | 0.335285 | − | 0.854292i | ||||
\(880\) | −4.37952 | − | 1.35090i | −0.147634 | − | 0.0455389i | ||||
\(881\) | −6.01851 | −0.202769 | −0.101384 | − | 0.994847i | \(-0.532327\pi\) | ||||
−0.101384 | + | 0.994847i | \(0.532327\pi\) | |||||||
\(882\) | 2.81810 | − | 1.50328i | 0.0948902 | − | 0.0506182i | ||||
\(883\) | 0.267947 | 0.00901712 | 0.00450856 | − | 0.999990i | \(-0.498565\pi\) | ||||
0.00450856 | + | 0.999990i | \(0.498565\pi\) | |||||||
\(884\) | 0.645578 | + | 0.199134i | 0.0217131 | + | 0.00669762i | ||||
\(885\) | 4.04006 | − | 10.2939i | 0.135805 | − | 0.346026i | ||||
\(886\) | 4.28120 | + | 2.91888i | 0.143830 | + | 0.0980615i | ||||
\(887\) | 4.39966 | − | 0.663141i | 0.147726 | − | 0.0222661i | −0.0747629 | − | 0.997201i | \(-0.523820\pi\) |
0.222489 | + | 0.974935i | \(0.428582\pi\) | |||||||
\(888\) | −19.6293 | + | 24.6143i | −0.658715 | + | 0.826002i | ||||
\(889\) | 11.1065 | − | 3.67835i | 0.372500 | − | 0.123368i | ||||
\(890\) | −0.692671 | − | 0.868582i | −0.0232184 | − | 0.0291150i | ||||
\(891\) | 25.6343 | + | 23.7852i | 0.858783 | + | 0.796834i | ||||
\(892\) | 2.85190 | + | 0.429855i | 0.0954888 | + | 0.0143926i | ||||
\(893\) | 23.4657 | − | 21.7730i | 0.785251 | − | 0.728606i | ||||
\(894\) | 9.97283 | − | 6.79936i | 0.333541 | − | 0.227405i | ||||
\(895\) | −2.41408 | − | 10.5768i | −0.0806937 | − | 0.353542i | ||||
\(896\) | −3.29215 | − | 13.1663i | −0.109983 | − | 0.439855i | ||||
\(897\) | −3.61126 | + | 15.8220i | −0.120576 | + | 0.528280i | ||||
\(898\) | −16.3433 | − | 41.6420i | −0.545382 | − | 1.38961i | ||||
\(899\) | −2.06886 | − | 27.6070i | −0.0690003 | − | 0.920745i | ||||
\(900\) | −0.459732 | − | 0.796279i | −0.0153244 | − | 0.0265426i | ||||
\(901\) | −1.51821 | + | 2.62962i | −0.0505789 | + | 0.0876053i | ||||
\(902\) | −16.4784 | − | 7.93558i | −0.548671 | − | 0.264226i | ||||
\(903\) | 39.6293 | + | 11.3346i | 1.31878 | + | 0.377193i | ||||
\(904\) | −15.1596 | + | 7.30047i | −0.504200 | + | 0.242810i | ||||
\(905\) | 0.579428 | − | 7.73194i | 0.0192609 | − | 0.257018i | ||||
\(906\) | −2.42265 | + | 0.747287i | −0.0804870 | + | 0.0248270i | ||||
\(907\) | −15.0937 | + | 4.65581i | −0.501180 | + | 0.154593i | −0.535029 | − | 0.844833i | \(-0.679699\pi\) |
0.0338496 | + | 0.999427i | \(0.489223\pi\) | |||||||
\(908\) | 0.359671 | − | 4.79948i | 0.0119361 | − | 0.159276i | ||||
\(909\) | 1.46793 | − | 0.706916i | 0.0486880 | − | 0.0234469i | ||||
\(910\) | 4.53601 | + | 4.03798i | 0.150367 | + | 0.133858i | ||||
\(911\) | −11.2611 | − | 5.42304i | −0.373095 | − | 0.179673i | 0.237934 | − | 0.971281i | \(-0.423530\pi\) |
−0.611029 | + | 0.791608i | \(0.709244\pi\) | |||||||
\(912\) | −16.1276 | + | 27.9338i | −0.534037 | + | 0.924980i | ||||
\(913\) | 23.1194 | + | 40.0439i | 0.765140 | + | 1.32526i | ||||
\(914\) | 2.25457 | + | 30.0852i | 0.0745746 | + | 0.995129i | ||||
\(915\) | −2.97102 | − | 7.57003i | −0.0982188 | − | 0.250257i | ||||
\(916\) | −2.18456 | + | 9.57117i | −0.0721798 | + | 0.316240i | ||||
\(917\) | −37.5379 | − | 17.1330i | −1.23961 | − | 0.565780i | ||||
\(918\) | −0.440472 | − | 1.92983i | −0.0145377 | − | 0.0636940i | ||||
\(919\) | −31.9759 | + | 21.8008i | −1.05479 | + | 0.719141i | −0.961027 | − | 0.276454i | \(-0.910841\pi\) |
−0.0937589 | + | 0.995595i | \(0.529888\pi\) | |||||||
\(920\) | 2.46684 | − | 2.28890i | 0.0813294 | − | 0.0754627i | ||||
\(921\) | −43.2940 | − | 6.52552i | −1.42659 | − | 0.215023i | ||||
\(922\) | −26.7337 | − | 24.8052i | −0.880428 | − | 0.816917i | ||||
\(923\) | 34.7285 | + | 43.5482i | 1.14310 | + | 1.43341i | ||||
\(924\) | −4.54129 | − | 7.50404i | −0.149398 | − | 0.246865i | ||||
\(925\) | 16.6164 | − | 20.8364i | 0.546345 | − | 0.685096i | ||||
\(926\) | 8.21842 | − | 1.23873i | 0.270074 | − | 0.0407071i | ||||
\(927\) | −1.60249 | − | 1.09256i | −0.0526328 | − | 0.0358845i | ||||
\(928\) | −6.71560 | + | 17.1111i | −0.220450 | + | 0.561698i | ||||
\(929\) | −10.0477 | − | 3.09929i | −0.329653 | − | 0.101684i | 0.125511 | − | 0.992092i | \(-0.459943\pi\) |
−0.455164 | + | 0.890408i | \(0.650419\pi\) | |||||||
\(930\) | 4.62379 | 0.151620 | ||||||||
\(931\) | −38.5793 | − | 24.0348i | −1.26438 | − | 0.787708i | ||||
\(932\) | −7.97101 | −0.261099 | ||||||||
\(933\) | −21.5486 | − | 6.64686i | −0.705469 | − | 0.217608i | ||||
\(934\) | 2.16464 | − | 5.51541i | 0.0708291 | − | 0.180470i | ||||
\(935\) | 0.471668 | + | 0.321578i | 0.0154252 | + | 0.0105167i | ||||
\(936\) | 4.41808 | − | 0.665919i | 0.144410 | − | 0.0217662i | ||||
\(937\) | −10.2021 | + | 12.7930i | −0.333288 | + | 0.417930i | −0.920032 | − | 0.391842i | \(-0.871838\pi\) |
0.586744 | + | 0.809772i | \(0.300409\pi\) | |||||||
\(938\) | 12.6964 | + | 8.27803i | 0.414553 | + | 0.270287i | ||||
\(939\) | 14.1173 | + | 17.7025i | 0.460700 | + | 0.577700i | ||||
\(940\) | 0.900883 | + | 0.835898i | 0.0293836 | + | 0.0272640i | ||||
\(941\) | 4.27020 | + | 0.643630i | 0.139205 | + | 0.0209817i | 0.218275 | − | 0.975887i | \(-0.429957\pi\) |
−0.0790702 | + | 0.996869i | \(0.525195\pi\) | |||||||
\(942\) | −33.3836 | + | 30.9754i | −1.08770 | + | 1.00923i | ||||
\(943\) | 8.03420 | − | 5.47763i | 0.261630 | − | 0.178376i | ||||
\(944\) | 7.48631 | + | 32.7997i | 0.243659 | + | 1.06754i | ||||
\(945\) | −1.24950 | + | 6.04653i | −0.0406462 | + | 0.196694i | ||||
\(946\) | −8.05494 | + | 35.2910i | −0.261889 | + | 1.14741i | ||||
\(947\) | 18.1492 | + | 46.2433i | 0.589769 | + | 1.50271i | 0.844424 | + | 0.535675i | \(0.179943\pi\) |
−0.254655 | + | 0.967032i | \(0.581962\pi\) | |||||||
\(948\) | 0.0729906 | + | 0.973993i | 0.00237063 | + | 0.0316338i | ||||
\(949\) | 15.7391 | + | 27.2609i | 0.510912 | + | 0.884926i | ||||
\(950\) | 18.8545 | − | 32.6570i | 0.611722 | − | 1.05953i | ||||
\(951\) | 51.4943 | + | 24.7984i | 1.66982 | + | 0.804142i | ||||
\(952\) | −0.147901 | + | 2.72717i | −0.00479350 | + | 0.0883882i | ||||
\(953\) | 22.4248 | − | 10.7992i | 0.726411 | − | 0.349821i | −0.0338604 | − | 0.999427i | \(-0.510780\pi\) |
0.760272 | + | 0.649605i | \(0.225066\pi\) | |||||||
\(954\) | −0.307396 | + | 4.10191i | −0.00995230 | + | 0.132804i | ||||
\(955\) | 3.06148 | − | 0.944342i | 0.0990673 | − | 0.0305582i | ||||
\(956\) | −4.59265 | + | 1.41664i | −0.148537 | + | 0.0458175i | ||||
\(957\) | 3.11821 | − | 41.6096i | 0.100797 | − | 1.34505i | ||||
\(958\) | −37.2568 | + | 17.9419i | −1.20371 | + | 0.579677i | ||||
\(959\) | 25.2607 | − | 17.9964i | 0.815710 | − | 0.581135i | ||||
\(960\) | −7.09701 | − | 3.41774i | −0.229055 | − | 0.110307i | ||||
\(961\) | 6.38692 | − | 11.0625i | 0.206030 | − | 0.356854i | ||||
\(962\) | 13.2638 | + | 22.9737i | 0.427644 | + | 0.740700i | ||||
\(963\) | 0.286973 | + | 3.82939i | 0.00924759 | + | 0.123401i | ||||
\(964\) | 2.78532 | + | 7.09689i | 0.0897093 | + | 0.228575i | ||||
\(965\) | −0.252221 | + | 1.10505i | −0.00811930 | + | 0.0355730i | ||||
\(966\) | −13.4361 | + | 0.277099i | −0.432300 | + | 0.00891553i | ||||
\(967\) | 5.68287 | + | 24.8983i | 0.182749 | + | 0.800675i | 0.980314 | + | 0.197443i | \(0.0632636\pi\) |
−0.797566 | + | 0.603232i | \(0.793879\pi\) | |||||||
\(968\) | 3.21564 | − | 2.19239i | 0.103355 | − | 0.0704660i | ||||
\(969\) | 2.94511 | − | 2.73266i | 0.0946106 | − | 0.0877858i | ||||
\(970\) | −0.0610155 | − | 0.00919660i | −0.00195909 | − | 0.000295285i | ||||
\(971\) | 38.2013 | + | 35.4456i | 1.22594 | + | 1.13750i | 0.986005 | + | 0.166715i | \(0.0533161\pi\) |
0.239933 | + | 0.970789i | \(0.422874\pi\) | |||||||
\(972\) | 1.24304 | + | 1.55873i | 0.0398707 | + | 0.0499963i | ||||
\(973\) | −22.9661 | − | 2.97869i | −0.736260 | − | 0.0954923i | ||||
\(974\) | 5.87785 | − | 7.37059i | 0.188338 | − | 0.236169i | ||||
\(975\) | −33.7031 | + | 5.07992i | −1.07936 | + | 0.162688i | ||||
\(976\) | 20.4419 | + | 13.9370i | 0.654328 | + | 0.446113i | ||||
\(977\) | −6.39499 | + | 16.2942i | −0.204594 | + | 0.521297i | −0.995935 | − | 0.0900786i | \(-0.971288\pi\) |
0.791341 | + | 0.611375i | \(0.209383\pi\) | |||||||
\(978\) | 13.4677 | + | 4.15423i | 0.430649 | + | 0.132838i | ||||
\(979\) | 6.60039 | 0.210949 | ||||||||
\(980\) | 0.809465 | − | 1.54593i | 0.0258574 | − | 0.0493829i | ||||
\(981\) | 0.273369 | 0.00872799 | ||||||||
\(982\) | −9.15694 | − | 2.82454i | −0.292210 | − | 0.0901348i | ||||
\(983\) | 6.01807 | − | 15.3338i | 0.191946 | − | 0.489072i | −0.802207 | − | 0.597046i | \(-0.796341\pi\) |
0.994154 | + | 0.107974i | \(0.0344363\pi\) | |||||||
\(984\) | −19.9328 | − | 13.5899i | −0.635434 | − | 0.433232i | ||||
\(985\) | −0.406199 | + | 0.0612247i | −0.0129426 | + | 0.00195078i | ||||
\(986\) | −1.65937 | + | 2.08079i | −0.0528451 | + | 0.0662657i | ||||
\(987\) | −2.28277 | − | 23.8506i | −0.0726613 | − | 0.759174i | ||||
\(988\) | −8.12064 | − | 10.1830i | −0.258352 | − | 0.323963i | ||||
\(989\) | −14.1078 | − | 13.0901i | −0.448601 | − | 0.416241i | ||||
\(990\) | 0.764703 | + | 0.115260i | 0.0243039 | + | 0.00366322i | ||||
\(991\) | 9.97278 | − | 9.25339i | 0.316796 | − | 0.293944i | −0.505706 | − | 0.862706i | \(-0.668768\pi\) |
0.822502 | + | 0.568762i | \(0.192578\pi\) | |||||||
\(992\) | 9.99889 | − | 6.81713i | 0.317465 | − | 0.216444i | ||||
\(993\) | −3.95479 | − | 17.3270i | −0.125501 | − | 0.549857i | ||||
\(994\) | −28.0087 | + | 36.6472i | −0.888383 | + | 1.16238i | ||||
\(995\) | −0.166793 | + | 0.730770i | −0.00528771 | + | 0.0231670i | ||||
\(996\) | 4.56431 | + | 11.6297i | 0.144626 | + | 0.368500i | ||||
\(997\) | −1.92714 | − | 25.7159i | −0.0610332 | − | 0.814432i | −0.940786 | − | 0.339001i | \(-0.889911\pi\) |
0.879753 | − | 0.475431i | \(-0.157708\pi\) | |||||||
\(998\) | 2.91078 | + | 5.04162i | 0.0921391 | + | 0.159590i | ||||
\(999\) | −13.4852 | + | 23.3570i | −0.426652 | + | 0.738983i |
(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 | 49.2.g.a.2.2 | ✓ | 48 | |
3.2 | odd | 2 | 441.2.bb.d.100.3 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.737.1 | 48 | |||
7.2 | even | 3 | 343.2.e.d.246.6 | 48 | |||
7.3 | odd | 6 | 343.2.g.h.312.3 | 48 | |||
7.4 | even | 3 | 343.2.g.i.312.3 | 48 | |||
7.5 | odd | 6 | 343.2.e.c.246.6 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.128.2 | 48 | |||
49.5 | odd | 42 | 2401.2.a.i.1.8 | 24 | |||
49.9 | even | 21 | 343.2.e.d.99.6 | 48 | |||
49.15 | even | 7 | 343.2.g.i.177.3 | 48 | |||
49.24 | odd | 42 | 343.2.g.g.67.2 | 48 | |||
49.25 | even | 21 | inner | 49.2.g.a.25.2 | yes | 48 | |
49.34 | odd | 14 | 343.2.g.h.177.3 | 48 | |||
49.40 | odd | 42 | 343.2.e.c.99.6 | 48 | |||
49.44 | even | 21 | 2401.2.a.h.1.8 | 24 | |||
147.74 | odd | 42 | 441.2.bb.d.172.3 | 48 | |||
196.123 | odd | 42 | 784.2.bg.c.417.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.2.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
49.2.g.a.25.2 | yes | 48 | 49.25 | even | 21 | inner | |
343.2.e.c.99.6 | 48 | 49.40 | odd | 42 | |||
343.2.e.c.246.6 | 48 | 7.5 | odd | 6 | |||
343.2.e.d.99.6 | 48 | 49.9 | even | 21 | |||
343.2.e.d.246.6 | 48 | 7.2 | even | 3 | |||
343.2.g.g.67.2 | 48 | 49.24 | odd | 42 | |||
343.2.g.g.128.2 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.177.3 | 48 | 49.34 | odd | 14 | |||
343.2.g.h.312.3 | 48 | 7.3 | odd | 6 | |||
343.2.g.i.177.3 | 48 | 49.15 | even | 7 | |||
343.2.g.i.312.3 | 48 | 7.4 | even | 3 | |||
441.2.bb.d.100.3 | 48 | 3.2 | odd | 2 | |||
441.2.bb.d.172.3 | 48 | 147.74 | odd | 42 | |||
784.2.bg.c.417.1 | 48 | 196.123 | odd | 42 | |||
784.2.bg.c.737.1 | 48 | 4.3 | odd | 2 | |||
2401.2.a.h.1.8 | 24 | 49.44 | even | 21 | |||
2401.2.a.i.1.8 | 24 | 49.5 | odd | 42 |