Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(97,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.q (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 97.6 | ||
Character | \(\chi\) | \(=\) | 370.97 |
Dual form | 370.2.q.f.103.6 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0.0936541 | − | 0.349522i | 0.0540712 | − | 0.201797i | −0.933606 | − | 0.358301i | \(-0.883356\pi\) |
0.987677 | + | 0.156505i | \(0.0500227\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −0.693098 | − | 2.12594i | −0.309963 | − | 0.950749i | ||||
\(6\) | −0.255868 | − | 0.255868i | −0.104458 | − | 0.104458i | ||||
\(7\) | 0.0100267 | − | 0.0374200i | 0.00378972 | − | 0.0141434i | −0.964005 | − | 0.265884i | \(-0.914336\pi\) |
0.967795 | + | 0.251740i | \(0.0810029\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.48468 | + | 1.43453i | 0.828227 | + | 0.478177i | ||||
\(10\) | −2.18767 | − | 0.462729i | −0.691801 | − | 0.146328i | ||||
\(11\) | − | 3.45168i | − | 1.04072i | −0.853947 | − | 0.520360i | \(-0.825798\pi\) | ||
0.853947 | − | 0.520360i | \(-0.174202\pi\) | |||||||
\(12\) | −0.349522 | + | 0.0936541i | −0.100898 | + | 0.0270356i | ||||
\(13\) | −1.24424 | − | 2.15509i | −0.345090 | − | 0.597714i | 0.640280 | − | 0.768142i | \(-0.278818\pi\) |
−0.985370 | + | 0.170428i | \(0.945485\pi\) | |||||||
\(14\) | −0.0273933 | − | 0.0273933i | −0.00732118 | − | 0.00732118i | ||||
\(15\) | −0.807974 | + | 0.0431499i | −0.208618 | + | 0.0111413i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.63142 | − | 0.941903i | −0.395678 | − | 0.228445i | 0.288939 | − | 0.957347i | \(-0.406697\pi\) |
−0.684618 | + | 0.728902i | \(0.740031\pi\) | |||||||
\(18\) | 2.48468 | − | 1.43453i | 0.585645 | − | 0.338122i | ||||
\(19\) | −5.26026 | − | 1.40948i | −1.20679 | − | 0.323358i | −0.401287 | − | 0.915952i | \(-0.631437\pi\) |
−0.805501 | + | 0.592595i | \(0.798104\pi\) | |||||||
\(20\) | −1.49457 | + | 1.66321i | −0.334196 | + | 0.371905i | ||||
\(21\) | −0.0121401 | − | 0.00700907i | −0.00264918 | − | 0.00152951i | ||||
\(22\) | −2.98924 | − | 1.72584i | −0.637308 | − | 0.367950i | ||||
\(23\) | 0.905777 | 0.188868 | 0.0944338 | − | 0.995531i | \(-0.469896\pi\) | ||||
0.0944338 | + | 0.995531i | \(0.469896\pi\) | |||||||
\(24\) | −0.0936541 | + | 0.349522i | −0.0191171 | + | 0.0713459i | ||||
\(25\) | −4.03923 | + | 2.94697i | −0.807846 | + | 0.589393i | ||||
\(26\) | −2.48848 | −0.488031 | ||||||||
\(27\) | 1.50170 | − | 1.50170i | 0.289003 | − | 0.289003i | ||||
\(28\) | −0.0374200 | + | 0.0100267i | −0.00707171 | + | 0.00189486i | ||||
\(29\) | 6.45203 | + | 6.45203i | 1.19811 | + | 1.19811i | 0.974731 | + | 0.223380i | \(0.0717091\pi\) |
0.223380 | + | 0.974731i | \(0.428291\pi\) | |||||||
\(30\) | −0.366618 | + | 0.721301i | −0.0669350 | + | 0.131691i | ||||
\(31\) | 4.37609 | − | 4.37609i | 0.785968 | − | 0.785968i | −0.194862 | − | 0.980831i | \(-0.562426\pi\) |
0.980831 | + | 0.194862i | \(0.0624260\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −1.20644 | − | 0.323264i | −0.210014 | − | 0.0562730i | ||||
\(34\) | −1.63142 | + | 0.941903i | −0.279787 | + | 0.161535i | ||||
\(35\) | −0.0865021 | + | 0.00461965i | −0.0146215 | + | 0.000780863i | ||||
\(36\) | − | 2.86906i | − | 0.478177i | ||||||
\(37\) | −6.07501 | + | 0.307010i | −0.998725 | + | 0.0504721i | ||||
\(38\) | −3.85078 | + | 3.85078i | −0.624679 | + | 0.624679i | ||||
\(39\) | −0.869779 | + | 0.233056i | −0.139276 | + | 0.0373189i | ||||
\(40\) | 0.693098 | + | 2.12594i | 0.109588 | + | 0.336140i | ||||
\(41\) | 8.36534 | − | 4.82973i | 1.30645 | − | 0.754277i | 0.324945 | − | 0.945733i | \(-0.394654\pi\) |
0.981501 | + | 0.191455i | \(0.0613207\pi\) | |||||||
\(42\) | −0.0121401 | + | 0.00700907i | −0.00187325 | + | 0.00108152i | ||||
\(43\) | 8.19202 | 1.24927 | 0.624635 | − | 0.780917i | \(-0.285248\pi\) | ||||
0.624635 | + | 0.780917i | \(0.285248\pi\) | |||||||
\(44\) | −2.98924 | + | 1.72584i | −0.450645 | + | 0.260180i | ||||
\(45\) | 1.32760 | − | 6.27655i | 0.197907 | − | 0.935653i | ||||
\(46\) | 0.452889 | − | 0.784426i | 0.0667748 | − | 0.115657i | ||||
\(47\) | 5.31164 | + | 5.31164i | 0.774782 | + | 0.774782i | 0.978938 | − | 0.204156i | \(-0.0654450\pi\) |
−0.204156 | + | 0.978938i | \(0.565445\pi\) | |||||||
\(48\) | 0.255868 | + | 0.255868i | 0.0369313 | + | 0.0369313i | ||||
\(49\) | 6.06088 | + | 3.49925i | 0.865840 | + | 0.499893i | ||||
\(50\) | 0.532532 | + | 4.97156i | 0.0753114 | + | 0.703085i | ||||
\(51\) | −0.482005 | + | 0.482005i | −0.0674942 | + | 0.0674942i | ||||
\(52\) | −1.24424 | + | 2.15509i | −0.172545 | + | 0.298857i | ||||
\(53\) | 0.879138 | + | 3.28099i | 0.120759 | + | 0.450678i | 0.999653 | − | 0.0263384i | \(-0.00838474\pi\) |
−0.878894 | + | 0.477017i | \(0.841718\pi\) | |||||||
\(54\) | −0.549662 | − | 2.05137i | −0.0747995 | − | 0.279156i | ||||
\(55\) | −7.33806 | + | 2.39235i | −0.989463 | + | 0.322584i | ||||
\(56\) | −0.0100267 | + | 0.0374200i | −0.00133987 | + | 0.00500046i | ||||
\(57\) | −0.985291 | + | 1.70657i | −0.130505 | + | 0.226041i | ||||
\(58\) | 8.81363 | − | 2.36161i | 1.15729 | − | 0.310094i | ||||
\(59\) | −1.03235 | − | 3.85279i | −0.134401 | − | 0.501590i | −1.00000 | 0.000852369i | \(-0.999729\pi\) | |
0.865599 | − | 0.500738i | \(-0.166938\pi\) | |||||||
\(60\) | 0.441356 | + | 0.678151i | 0.0569788 | + | 0.0875489i | ||||
\(61\) | −0.0232515 | − | 0.00623022i | −0.00297705 | − | 0.000797698i | 0.257330 | − | 0.966324i | \(-0.417157\pi\) |
−0.260307 | + | 0.965526i | \(0.583824\pi\) | |||||||
\(62\) | −1.60176 | − | 5.97785i | −0.203424 | − | 0.759187i | ||||
\(63\) | 0.0785932 | − | 0.0785932i | 0.00990181 | − | 0.00990181i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −3.71920 | + | 4.13886i | −0.461310 | + | 0.513363i | ||||
\(66\) | −0.883173 | + | 0.883173i | −0.108711 | + | 0.108711i | ||||
\(67\) | −14.8563 | − | 3.98072i | −1.81498 | − | 0.486323i | −0.818834 | − | 0.574030i | \(-0.805379\pi\) |
−0.996146 | + | 0.0877072i | \(0.972046\pi\) | |||||||
\(68\) | 1.88381i | 0.228445i | ||||||||
\(69\) | 0.0848298 | − | 0.316589i | 0.0102123 | − | 0.0381128i | ||||
\(70\) | −0.0392503 | + | 0.0772228i | −0.00469131 | + | 0.00922989i | ||||
\(71\) | 6.17295 | + | 10.6919i | 0.732595 | + | 1.26889i | 0.955771 | + | 0.294113i | \(0.0950242\pi\) |
−0.223176 | + | 0.974778i | \(0.571642\pi\) | |||||||
\(72\) | −2.48468 | − | 1.43453i | −0.292823 | − | 0.169061i | ||||
\(73\) | 6.60939 | + | 6.60939i | 0.773570 | + | 0.773570i | 0.978729 | − | 0.205158i | \(-0.0657710\pi\) |
−0.205158 | + | 0.978729i | \(0.565771\pi\) | |||||||
\(74\) | −2.77163 | + | 5.41462i | −0.322195 | + | 0.629437i | ||||
\(75\) | 0.651739 | + | 1.68780i | 0.0752563 | + | 0.194890i | ||||
\(76\) | 1.40948 | + | 5.26026i | 0.161679 | + | 0.603394i | ||||
\(77\) | −0.129162 | − | 0.0346088i | −0.0147193 | − | 0.00394404i | ||||
\(78\) | −0.233056 | + | 0.869779i | −0.0263885 | + | 0.0984830i | ||||
\(79\) | 4.82122 | + | 1.29184i | 0.542429 | + | 0.145343i | 0.519622 | − | 0.854396i | \(-0.326073\pi\) |
0.0228074 | + | 0.999740i | \(0.492740\pi\) | |||||||
\(80\) | 2.18767 | + | 0.462729i | 0.244588 | + | 0.0517347i | ||||
\(81\) | 3.91936 | + | 6.78853i | 0.435484 | + | 0.754281i | ||||
\(82\) | − | 9.65946i | − | 1.06671i | ||||||
\(83\) | −3.63463 | − | 13.5646i | −0.398952 | − | 1.48891i | −0.814943 | − | 0.579541i | \(-0.803232\pi\) |
0.415991 | − | 0.909369i | \(-0.363435\pi\) | |||||||
\(84\) | 0.0140181i | 0.00152951i | ||||||||
\(85\) | −0.871692 | + | 4.12114i | −0.0945483 | + | 0.447000i | ||||
\(86\) | 4.09601 | − | 7.09449i | 0.441684 | − | 0.765019i | ||||
\(87\) | 2.85938 | − | 1.65087i | 0.306558 | − | 0.176991i | ||||
\(88\) | 3.45168i | 0.367950i | ||||||||
\(89\) | 2.48871 | − | 0.666849i | 0.263803 | − | 0.0706858i | −0.124493 | − | 0.992220i | \(-0.539730\pi\) |
0.388296 | + | 0.921535i | \(0.373064\pi\) | |||||||
\(90\) | −4.77185 | − | 4.28801i | −0.502998 | − | 0.451996i | ||||
\(91\) | −0.0931189 | + | 0.0249511i | −0.00976152 | + | 0.00261559i | ||||
\(92\) | −0.452889 | − | 0.784426i | −0.0472169 | − | 0.0817821i | ||||
\(93\) | −1.11970 | − | 1.93938i | −0.116107 | − | 0.201104i | ||||
\(94\) | 7.25584 | − | 1.94420i | 0.748382 | − | 0.200528i | ||||
\(95\) | 0.649401 | + | 12.1599i | 0.0666271 | + | 1.24758i | ||||
\(96\) | 0.349522 | − | 0.0936541i | 0.0356729 | − | 0.00955853i | ||||
\(97\) | − | 2.55804i | − | 0.259729i | −0.991532 | − | 0.129865i | \(-0.958546\pi\) | ||
0.991532 | − | 0.129865i | \(-0.0414543\pi\) | |||||||
\(98\) | 6.06088 | − | 3.49925i | 0.612241 | − | 0.353478i | ||||
\(99\) | 4.95154 | − | 8.57632i | 0.497649 | − | 0.861953i | ||||
\(100\) | 4.57176 | + | 2.02459i | 0.457176 | + | 0.202459i | ||||
\(101\) | 16.0383i | 1.59587i | 0.602741 | + | 0.797937i | \(0.294075\pi\) | ||||
−0.602741 | + | 0.797937i | \(0.705925\pi\) | |||||||
\(102\) | 0.176426 | + | 0.658431i | 0.0174688 | + | 0.0651944i | ||||
\(103\) | − | 4.28679i | − | 0.422390i | −0.977444 | − | 0.211195i | \(-0.932264\pi\) | ||
0.977444 | − | 0.211195i | \(-0.0677355\pi\) | |||||||
\(104\) | 1.24424 | + | 2.15509i | 0.122008 | + | 0.211324i | ||||
\(105\) | −0.00648661 | + | 0.0306670i | −0.000633028 | + | 0.00299279i | ||||
\(106\) | 3.28099 | + | 0.879138i | 0.318678 | + | 0.0853894i | ||||
\(107\) | 1.23738 | − | 4.61796i | 0.119622 | − | 0.446435i | −0.879969 | − | 0.475031i | \(-0.842437\pi\) |
0.999591 | + | 0.0285960i | \(0.00910364\pi\) | |||||||
\(108\) | −2.05137 | − | 0.549662i | −0.197393 | − | 0.0528913i | ||||
\(109\) | −1.51602 | − | 5.65787i | −0.145209 | − | 0.541926i | −0.999746 | − | 0.0225361i | \(-0.992826\pi\) |
0.854537 | − | 0.519390i | \(-0.173841\pi\) | |||||||
\(110\) | −1.59719 | + | 7.55112i | −0.152286 | + | 0.719971i | ||||
\(111\) | −0.461643 | + | 2.15210i | −0.0438172 | + | 0.204268i | ||||
\(112\) | 0.0273933 | + | 0.0273933i | 0.00258843 | + | 0.00258843i | ||||
\(113\) | 6.40021 | + | 3.69516i | 0.602081 | + | 0.347612i | 0.769860 | − | 0.638213i | \(-0.220326\pi\) |
−0.167779 | + | 0.985825i | \(0.553659\pi\) | |||||||
\(114\) | 0.985291 | + | 1.70657i | 0.0922810 | + | 0.159835i | ||||
\(115\) | −0.627792 | − | 1.92563i | −0.0585419 | − | 0.179566i | ||||
\(116\) | 2.36161 | − | 8.81363i | 0.219270 | − | 0.818325i | ||||
\(117\) | − | 7.13961i | − | 0.660057i | ||||||
\(118\) | −3.85279 | − | 1.03235i | −0.354678 | − | 0.0950357i | ||||
\(119\) | −0.0516037 | + | 0.0516037i | −0.00473050 | + | 0.00473050i | ||||
\(120\) | 0.807974 | − | 0.0431499i | 0.0737576 | − | 0.00393903i | ||||
\(121\) | −0.914082 | −0.0830983 | ||||||||
\(122\) | −0.0170213 | + | 0.0170213i | −0.00154103 | + | 0.00154103i | ||||
\(123\) | −0.904649 | − | 3.37619i | −0.0815694 | − | 0.304421i | ||||
\(124\) | −5.97785 | − | 1.60176i | −0.536826 | − | 0.143842i | ||||
\(125\) | 9.06465 | + | 6.54462i | 0.810767 | + | 0.585369i | ||||
\(126\) | −0.0287671 | − | 0.107360i | −0.00256278 | − | 0.00956442i | ||||
\(127\) | −15.6289 | + | 4.18775i | −1.38684 | + | 0.371603i | −0.873602 | − | 0.486642i | \(-0.838222\pi\) |
−0.513240 | + | 0.858245i | \(0.671555\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 0.767216 | − | 2.86329i | 0.0675496 | − | 0.252099i | ||||
\(130\) | 1.72476 | + | 5.29036i | 0.151271 | + | 0.463995i | ||||
\(131\) | −2.18373 | − | 8.14980i | −0.190794 | − | 0.712052i | −0.993316 | − | 0.115429i | \(-0.963176\pi\) |
0.802522 | − | 0.596622i | \(-0.203491\pi\) | |||||||
\(132\) | 0.323264 | + | 1.20644i | 0.0281365 | + | 0.105007i | ||||
\(133\) | −0.105486 | + | 0.182707i | −0.00914677 | + | 0.0158427i | ||||
\(134\) | −10.8755 | + | 10.8755i | −0.939503 | + | 0.939503i | ||||
\(135\) | −4.23336 | − | 2.15170i | −0.364350 | − | 0.185189i | ||||
\(136\) | 1.63142 | + | 0.941903i | 0.139893 | + | 0.0807675i | ||||
\(137\) | −5.52489 | − | 5.52489i | −0.472023 | − | 0.472023i | 0.430546 | − | 0.902569i | \(-0.358321\pi\) |
−0.902569 | + | 0.430546i | \(0.858321\pi\) | |||||||
\(138\) | −0.231759 | − | 0.231759i | −0.0197287 | − | 0.0197287i | ||||
\(139\) | −4.60322 | + | 7.97300i | −0.390440 | + | 0.676261i | −0.992508 | − | 0.122184i | \(-0.961010\pi\) |
0.602068 | + | 0.798445i | \(0.294344\pi\) | |||||||
\(140\) | 0.0472518 | + | 0.0726032i | 0.00399350 | + | 0.00613609i | ||||
\(141\) | 2.35399 | − | 1.35908i | 0.198242 | − | 0.114455i | ||||
\(142\) | 12.3459 | 1.03605 | ||||||||
\(143\) | −7.43867 | + | 4.29472i | −0.622053 | + | 0.359142i | ||||
\(144\) | −2.48468 | + | 1.43453i | −0.207057 | + | 0.119544i | ||||
\(145\) | 9.24473 | − | 18.1885i | 0.767733 | − | 1.51047i | ||||
\(146\) | 9.02859 | − | 2.41920i | 0.747212 | − | 0.200215i | ||||
\(147\) | 1.79069 | − | 1.79069i | 0.147694 | − | 0.147694i | ||||
\(148\) | 3.30338 | + | 5.10761i | 0.271536 | + | 0.419843i | ||||
\(149\) | 15.3857i | 1.26044i | 0.776415 | + | 0.630222i | \(0.217036\pi\) | ||||
−0.776415 | + | 0.630222i | \(0.782964\pi\) | |||||||
\(150\) | 1.78754 | + | 0.279476i | 0.145952 | + | 0.0228191i | ||||
\(151\) | −6.97358 | + | 4.02620i | −0.567502 | + | 0.327647i | −0.756151 | − | 0.654397i | \(-0.772922\pi\) |
0.188649 | + | 0.982045i | \(0.439589\pi\) | |||||||
\(152\) | 5.26026 | + | 1.40948i | 0.426664 | + | 0.114324i | ||||
\(153\) | −2.70238 | − | 4.68066i | −0.218474 | − | 0.378409i | ||||
\(154\) | −0.0945530 | + | 0.0945530i | −0.00761930 | + | 0.00761930i | ||||
\(155\) | −12.3363 | − | 6.27024i | −0.990879 | − | 0.503638i | ||||
\(156\) | 0.636722 | + | 0.636722i | 0.0509786 | + | 0.0509786i | ||||
\(157\) | 1.65798 | − | 0.444254i | 0.132321 | − | 0.0354553i | −0.192051 | − | 0.981385i | \(-0.561514\pi\) |
0.324372 | + | 0.945930i | \(0.394847\pi\) | |||||||
\(158\) | 3.52938 | − | 3.52938i | 0.280782 | − | 0.280782i | ||||
\(159\) | 1.22911 | 0.0974750 | ||||||||
\(160\) | 1.49457 | − | 1.66321i | 0.118156 | − | 0.131488i | ||||
\(161\) | 0.00908192 | − | 0.0338942i | 0.000715755 | − | 0.00267124i | ||||
\(162\) | 7.83871 | 0.615868 | ||||||||
\(163\) | −5.35241 | − | 3.09022i | −0.419233 | − | 0.242044i | 0.275516 | − | 0.961296i | \(-0.411151\pi\) |
−0.694749 | + | 0.719252i | \(0.744485\pi\) | |||||||
\(164\) | −8.36534 | − | 4.82973i | −0.653223 | − | 0.377139i | ||||
\(165\) | 0.148940 | + | 2.78887i | 0.0115949 | + | 0.217113i | ||||
\(166\) | −13.5646 | − | 3.63463i | −1.05282 | − | 0.282102i | ||||
\(167\) | −13.9283 | + | 8.04153i | −1.07781 | + | 0.622273i | −0.930304 | − | 0.366789i | \(-0.880457\pi\) |
−0.147503 | + | 0.989062i | \(0.547124\pi\) | |||||||
\(168\) | 0.0121401 | + | 0.00700907i | 0.000936627 | + | 0.000540762i | ||||
\(169\) | 3.40373 | − | 5.89544i | 0.261826 | − | 0.453495i | ||||
\(170\) | 3.13316 | + | 2.81548i | 0.240303 | + | 0.215937i | ||||
\(171\) | −11.0481 | − | 11.0481i | −0.844872 | − | 0.844872i | ||||
\(172\) | −4.09601 | − | 7.09449i | −0.312318 | − | 0.540950i | ||||
\(173\) | −4.27166 | + | 1.14459i | −0.324768 | + | 0.0870214i | −0.417520 | − | 0.908668i | \(-0.637100\pi\) |
0.0927514 | + | 0.995689i | \(0.470434\pi\) | |||||||
\(174\) | − | 3.30173i | − | 0.250304i | ||||||
\(175\) | 0.0697755 | + | 0.180696i | 0.00527453 | + | 0.0136593i | ||||
\(176\) | 2.98924 | + | 1.72584i | 0.225323 | + | 0.130090i | ||||
\(177\) | −1.44332 | −0.108486 | ||||||||
\(178\) | 0.666849 | − | 2.48871i | 0.0499824 | − | 0.186537i | ||||
\(179\) | 4.56704 | + | 4.56704i | 0.341357 | + | 0.341357i | 0.856877 | − | 0.515520i | \(-0.172401\pi\) |
−0.515520 | + | 0.856877i | \(0.672401\pi\) | |||||||
\(180\) | −6.09945 | + | 1.98854i | −0.454626 | + | 0.148217i | ||||
\(181\) | 4.88795 | + | 8.46618i | 0.363319 | + | 0.629286i | 0.988505 | − | 0.151189i | \(-0.0483103\pi\) |
−0.625186 | + | 0.780476i | \(0.714977\pi\) | |||||||
\(182\) | −0.0249511 | + | 0.0931189i | −0.00184950 | + | 0.00690243i | ||||
\(183\) | −0.00435520 | + | 0.00754342i | −0.000321945 | + | 0.000557626i | ||||
\(184\) | −0.905777 | −0.0667748 | ||||||||
\(185\) | 4.86326 | + | 12.7023i | 0.357554 | + | 0.933892i | ||||
\(186\) | −2.23940 | −0.164201 | ||||||||
\(187\) | −3.25115 | + | 5.63115i | −0.237747 | + | 0.411790i | ||||
\(188\) | 1.94420 | − | 7.25584i | 0.141795 | − | 0.529186i | ||||
\(189\) | −0.0411367 | − | 0.0712508i | −0.00299225 | − | 0.00518274i | ||||
\(190\) | 10.8555 | + | 5.51756i | 0.787540 | + | 0.400286i | ||||
\(191\) | −6.50378 | − | 6.50378i | −0.470597 | − | 0.470597i | 0.431511 | − | 0.902108i | \(-0.357981\pi\) |
−0.902108 | + | 0.431511i | \(0.857981\pi\) | |||||||
\(192\) | 0.0936541 | − | 0.349522i | 0.00675890 | − | 0.0252246i | ||||
\(193\) | −25.4877 | −1.83465 | −0.917324 | − | 0.398142i | \(-0.869655\pi\) | ||||
−0.917324 | + | 0.398142i | \(0.869655\pi\) | |||||||
\(194\) | −2.21533 | − | 1.27902i | −0.159051 | − | 0.0918282i | ||||
\(195\) | 1.09831 | + | 1.68757i | 0.0786513 | + | 0.120849i | ||||
\(196\) | − | 6.99850i | − | 0.499893i | ||||||
\(197\) | 8.54797 | − | 2.29042i | 0.609018 | − | 0.163186i | 0.0588875 | − | 0.998265i | \(-0.481245\pi\) |
0.550130 | + | 0.835079i | \(0.314578\pi\) | |||||||
\(198\) | −4.95154 | − | 8.57632i | −0.351891 | − | 0.609493i | ||||
\(199\) | −11.2939 | − | 11.2939i | −0.800606 | − | 0.800606i | 0.182585 | − | 0.983190i | \(-0.441554\pi\) |
−0.983190 | + | 0.182585i | \(0.941554\pi\) | |||||||
\(200\) | 4.03923 | − | 2.94697i | 0.285617 | − | 0.208382i | ||||
\(201\) | −2.78270 | + | 4.81978i | −0.196276 | + | 0.339961i | ||||
\(202\) | 13.8896 | + | 8.01916i | 0.977269 | + | 0.564226i | ||||
\(203\) | 0.306127 | − | 0.176743i | 0.0214859 | − | 0.0124049i | ||||
\(204\) | 0.658431 | + | 0.176426i | 0.0460994 | + | 0.0123523i | ||||
\(205\) | −16.0657 | − | 14.4367i | −1.12208 | − | 1.00830i | ||||
\(206\) | −3.71247 | − | 2.14340i | −0.258660 | − | 0.149337i | ||||
\(207\) | 2.25057 | + | 1.29937i | 0.156425 | + | 0.0903122i | ||||
\(208\) | 2.48848 | 0.172545 | ||||||||
\(209\) | −4.86508 | + | 18.1567i | −0.336525 | + | 1.25593i | ||||
\(210\) | 0.0233151 | + | 0.0209511i | 0.00160890 | + | 0.00144576i | ||||
\(211\) | 5.60994 | 0.386204 | 0.193102 | − | 0.981179i | \(-0.438145\pi\) | ||||
0.193102 | + | 0.981179i | \(0.438145\pi\) | |||||||
\(212\) | 2.40185 | − | 2.40185i | 0.164960 | − | 0.164960i | ||||
\(213\) | 4.31516 | − | 1.15624i | 0.295670 | − | 0.0792246i | ||||
\(214\) | −3.38058 | − | 3.38058i | −0.231092 | − | 0.231092i | ||||
\(215\) | −5.67787 | − | 17.4157i | −0.387227 | − | 1.18774i | ||||
\(216\) | −1.50170 | + | 1.50170i | −0.102178 | + | 0.102178i | ||||
\(217\) | −0.119876 | − | 0.207631i | −0.00813769 | − | 0.0140949i | ||||
\(218\) | −5.65787 | − | 1.51602i | −0.383200 | − | 0.102678i | ||||
\(219\) | 2.92912 | − | 1.69113i | 0.197932 | − | 0.114276i | ||||
\(220\) | 5.74086 | + | 5.15877i | 0.387049 | + | 0.347804i | ||||
\(221\) | 4.68781i | 0.315336i | ||||||||
\(222\) | 1.63295 | + | 1.47585i | 0.109597 | + | 0.0990523i | ||||
\(223\) | 3.95959 | − | 3.95959i | 0.265154 | − | 0.265154i | −0.561990 | − | 0.827144i | \(-0.689964\pi\) |
0.827144 | + | 0.561990i | \(0.189964\pi\) | |||||||
\(224\) | 0.0374200 | − | 0.0100267i | 0.00250023 | − | 0.000669934i | ||||
\(225\) | −14.2637 | + | 1.52787i | −0.950915 | + | 0.101858i | ||||
\(226\) | 6.40021 | − | 3.69516i | 0.425736 | − | 0.245799i | ||||
\(227\) | 6.73621 | − | 3.88915i | 0.447098 | − | 0.258132i | −0.259506 | − | 0.965742i | \(-0.583560\pi\) |
0.706604 | + | 0.707610i | \(0.250226\pi\) | |||||||
\(228\) | 1.97058 | 0.130505 | ||||||||
\(229\) | 1.63172 | − | 0.942077i | 0.107827 | − | 0.0622542i | −0.445116 | − | 0.895473i | \(-0.646838\pi\) |
0.552944 | + | 0.833219i | \(0.313504\pi\) | |||||||
\(230\) | −1.98154 | − | 0.419130i | −0.130659 | − | 0.0276366i | ||||
\(231\) | −0.0241931 | + | 0.0419036i | −0.00159179 | + | 0.00275706i | ||||
\(232\) | −6.45203 | − | 6.45203i | −0.423596 | − | 0.423596i | ||||
\(233\) | 6.70483 | + | 6.70483i | 0.439248 | + | 0.439248i | 0.891759 | − | 0.452511i | \(-0.149472\pi\) |
−0.452511 | + | 0.891759i | \(0.649472\pi\) | |||||||
\(234\) | −6.18308 | − | 3.56980i | −0.404201 | − | 0.233365i | ||||
\(235\) | 7.61074 | − | 14.9737i | 0.496470 | − | 0.976777i | ||||
\(236\) | −2.82044 | + | 2.82044i | −0.183595 | + | 0.183595i | ||||
\(237\) | 0.903054 | − | 1.56413i | 0.0586596 | − | 0.101601i | ||||
\(238\) | 0.0188883 | + | 0.0704920i | 0.00122434 | + | 0.00456932i | ||||
\(239\) | −1.59987 | − | 5.97079i | −0.103487 | − | 0.386218i | 0.894682 | − | 0.446703i | \(-0.147402\pi\) |
−0.998169 | + | 0.0604848i | \(0.980735\pi\) | |||||||
\(240\) | 0.366618 | − | 0.721301i | 0.0236651 | − | 0.0465598i | ||||
\(241\) | 2.30366 | − | 8.59737i | 0.148392 | − | 0.553805i | −0.851189 | − | 0.524859i | \(-0.824118\pi\) |
0.999581 | − | 0.0289464i | \(-0.00921521\pi\) | |||||||
\(242\) | −0.457041 | + | 0.791618i | −0.0293797 | + | 0.0508871i | ||||
\(243\) | 8.89390 | − | 2.38311i | 0.570544 | − | 0.152877i | ||||
\(244\) | 0.00623022 | + | 0.0232515i | 0.000398849 | + | 0.00148852i | ||||
\(245\) | 3.23841 | − | 15.3104i | 0.206894 | − | 0.978144i | ||||
\(246\) | −3.37619 | − | 0.904649i | −0.215258 | − | 0.0576783i | ||||
\(247\) | 3.50747 | + | 13.0901i | 0.223175 | + | 0.832901i | ||||
\(248\) | −4.37609 | + | 4.37609i | −0.277882 | + | 0.277882i | ||||
\(249\) | −5.08153 | −0.322029 | ||||||||
\(250\) | 10.2001 | − | 4.57791i | 0.645113 | − | 0.289532i | ||||
\(251\) | −8.72161 | + | 8.72161i | −0.550503 | + | 0.550503i | −0.926586 | − | 0.376083i | \(-0.877271\pi\) |
0.376083 | + | 0.926586i | \(0.377271\pi\) | |||||||
\(252\) | −0.107360 | − | 0.0287671i | −0.00676306 | − | 0.00181216i | ||||
\(253\) | − | 3.12645i | − | 0.196558i | ||||||
\(254\) | −4.18775 | + | 15.6289i | −0.262763 | + | 0.980645i | ||||
\(255\) | 1.35879 | + | 0.690637i | 0.0850907 | + | 0.0432494i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 25.9078 | + | 14.9579i | 1.61608 | + | 0.933045i | 0.987920 | + | 0.154962i | \(0.0495256\pi\) |
0.628161 | + | 0.778083i | \(0.283808\pi\) | |||||||
\(258\) | −2.09607 | − | 2.09607i | −0.130496 | − | 0.130496i | ||||
\(259\) | −0.0494237 | + | 0.230405i | −0.00307104 | + | 0.0143167i | ||||
\(260\) | 5.44396 | + | 1.15149i | 0.337620 | + | 0.0714126i | ||||
\(261\) | 6.77560 | + | 25.2869i | 0.419399 | + | 1.56522i | ||||
\(262\) | −8.14980 | − | 2.18373i | −0.503496 | − | 0.134911i | ||||
\(263\) | 5.33763 | − | 19.9203i | 0.329132 | − | 1.22834i | −0.580960 | − | 0.813932i | \(-0.697323\pi\) |
0.910092 | − | 0.414406i | \(-0.136011\pi\) | |||||||
\(264\) | 1.20644 | + | 0.323264i | 0.0742511 | + | 0.0198955i | ||||
\(265\) | 6.36585 | − | 4.14304i | 0.391051 | − | 0.254505i | ||||
\(266\) | 0.105486 | + | 0.182707i | 0.00646775 | + | 0.0112025i | ||||
\(267\) | − | 0.932313i | − | 0.0570566i | ||||||
\(268\) | 3.98072 | + | 14.8563i | 0.243161 | + | 0.907490i | ||||
\(269\) | − | 9.11261i | − | 0.555606i | −0.960638 | − | 0.277803i | \(-0.910394\pi\) | ||
0.960638 | − | 0.277803i | \(-0.0896062\pi\) | |||||||
\(270\) | −3.98011 | + | 2.59034i | −0.242222 | + | 0.157643i | ||||
\(271\) | 6.57499 | − | 11.3882i | 0.399403 | − | 0.691785i | −0.594250 | − | 0.804281i | \(-0.702551\pi\) |
0.993652 | + | 0.112495i | \(0.0358843\pi\) | |||||||
\(272\) | 1.63142 | − | 0.941903i | 0.0989196 | − | 0.0571112i | ||||
\(273\) | 0.0348839i | 0.00211127i | ||||||||
\(274\) | −7.54713 | + | 2.02225i | −0.455939 | + | 0.122168i | ||||
\(275\) | 10.1720 | + | 13.9421i | 0.613393 | + | 0.840742i | ||||
\(276\) | −0.316589 | + | 0.0848298i | −0.0190564 | + | 0.00510615i | ||||
\(277\) | −8.30013 | − | 14.3762i | −0.498707 | − | 0.863785i | 0.501292 | − | 0.865278i | \(-0.332858\pi\) |
−0.999999 | + | 0.00149292i | \(0.999525\pi\) | |||||||
\(278\) | 4.60322 | + | 7.97300i | 0.276083 | + | 0.478189i | ||||
\(279\) | 17.1508 | − | 4.59555i | 1.02679 | − | 0.275128i | ||||
\(280\) | 0.0865021 | − | 0.00461965i | 0.00516949 | − | 0.000276077i | ||||
\(281\) | −28.5145 | + | 7.64045i | −1.70103 | + | 0.455791i | −0.973200 | − | 0.229962i | \(-0.926140\pi\) |
−0.727835 | + | 0.685753i | \(0.759473\pi\) | |||||||
\(282\) | − | 2.71816i | − | 0.161864i | ||||||
\(283\) | −12.9321 | + | 7.46633i | −0.768731 | + | 0.443827i | −0.832422 | − | 0.554143i | \(-0.813046\pi\) |
0.0636908 | + | 0.997970i | \(0.479713\pi\) | |||||||
\(284\) | 6.17295 | − | 10.6919i | 0.366297 | − | 0.634446i | ||||
\(285\) | 4.31098 | + | 0.911846i | 0.255360 | + | 0.0540131i | ||||
\(286\) | 8.58943i | 0.507904i | ||||||||
\(287\) | −0.0968521 | − | 0.361457i | −0.00571700 | − | 0.0213361i | ||||
\(288\) | 2.86906i | 0.169061i | ||||||||
\(289\) | −6.72564 | − | 11.6491i | −0.395626 | − | 0.685244i | ||||
\(290\) | −11.1293 | − | 17.1004i | −0.653537 | − | 1.00417i | ||||
\(291\) | −0.894090 | − | 0.239571i | −0.0524125 | − | 0.0140439i | ||||
\(292\) | 2.41920 | − | 9.02859i | 0.141573 | − | 0.528358i | ||||
\(293\) | −0.791535 | − | 0.212091i | −0.0462420 | − | 0.0123905i | 0.235624 | − | 0.971844i | \(-0.424287\pi\) |
−0.281866 | + | 0.959454i | \(0.590953\pi\) | |||||||
\(294\) | −0.655438 | − | 2.44613i | −0.0382259 | − | 0.142661i | ||||
\(295\) | −7.47527 | + | 4.86507i | −0.435227 | + | 0.283256i | ||||
\(296\) | 6.07501 | − | 0.307010i | 0.353103 | − | 0.0178446i | ||||
\(297\) | −5.18340 | − | 5.18340i | −0.300771 | − | 0.300771i | ||||
\(298\) | 13.3244 | + | 7.69284i | 0.771861 | + | 0.445634i | ||||
\(299\) | −1.12700 | − | 1.95203i | −0.0651764 | − | 0.112889i | ||||
\(300\) | 1.13580 | − | 1.40832i | 0.0655757 | − | 0.0813094i | ||||
\(301\) | 0.0821385 | − | 0.306545i | 0.00473439 | − | 0.0176690i | ||||
\(302\) | 8.05240i | 0.463363i | ||||||||
\(303\) | 5.60575 | + | 1.50206i | 0.322042 | + | 0.0862908i | ||||
\(304\) | 3.85078 | − | 3.85078i | 0.220857 | − | 0.220857i | ||||
\(305\) | 0.00287049 | + | 0.0537494i | 0.000164364 | + | 0.00307768i | ||||
\(306\) | −5.40476 | −0.308969 | ||||||||
\(307\) | −4.35290 | + | 4.35290i | −0.248433 | + | 0.248433i | −0.820327 | − | 0.571894i | \(-0.806209\pi\) |
0.571894 | + | 0.820327i | \(0.306209\pi\) | |||||||
\(308\) | 0.0346088 | + | 0.129162i | 0.00197202 | + | 0.00735967i | ||||
\(309\) | −1.49833 | − | 0.401476i | −0.0852369 | − | 0.0228392i | ||||
\(310\) | −11.5984 | + | 7.54847i | −0.658743 | + | 0.428724i | ||||
\(311\) | 4.57100 | + | 17.0592i | 0.259198 | + | 0.967339i | 0.965707 | + | 0.259635i | \(0.0836022\pi\) |
−0.706509 | + | 0.707704i | \(0.749731\pi\) | |||||||
\(312\) | 0.869779 | − | 0.233056i | 0.0492415 | − | 0.0131942i | ||||
\(313\) | −4.75598 | + | 8.23759i | −0.268824 | + | 0.465616i | −0.968558 | − | 0.248787i | \(-0.919968\pi\) |
0.699735 | + | 0.714403i | \(0.253302\pi\) | |||||||
\(314\) | 0.444254 | − | 1.65798i | 0.0250707 | − | 0.0935651i | ||||
\(315\) | −0.221557 | − | 0.112612i | −0.0124833 | − | 0.00634494i | ||||
\(316\) | −1.29184 | − | 4.82122i | −0.0726717 | − | 0.271215i | ||||
\(317\) | 7.97887 | + | 29.7776i | 0.448138 | + | 1.67247i | 0.707515 | + | 0.706698i | \(0.249816\pi\) |
−0.259377 | + | 0.965776i | \(0.583517\pi\) | |||||||
\(318\) | 0.614556 | − | 1.06444i | 0.0344626 | − | 0.0596910i | ||||
\(319\) | 22.2703 | − | 22.2703i | 1.24690 | − | 1.24690i | ||||
\(320\) | −0.693098 | − | 2.12594i | −0.0387453 | − | 0.118844i | ||||
\(321\) | −1.49819 | − | 0.864981i | −0.0836209 | − | 0.0482785i | ||||
\(322\) | −0.0248123 | − | 0.0248123i | −0.00138273 | − | 0.00138273i | ||||
\(323\) | 7.25412 | + | 7.25412i | 0.403630 | + | 0.403630i | ||||
\(324\) | 3.91936 | − | 6.78853i | 0.217742 | − | 0.377140i | ||||
\(325\) | 11.3767 | + | 5.03816i | 0.631068 | + | 0.279467i | ||||
\(326\) | −5.35241 | + | 3.09022i | −0.296443 | + | 0.171151i | ||||
\(327\) | −2.11953 | −0.117210 | ||||||||
\(328\) | −8.36534 | + | 4.82973i | −0.461899 | + | 0.266677i | ||||
\(329\) | 0.252020 | − | 0.145504i | 0.0138943 | − | 0.00802187i | ||||
\(330\) | 2.48970 | + | 1.26545i | 0.137053 | + | 0.0696606i | ||||
\(331\) | 30.5927 | − | 8.19729i | 1.68153 | − | 0.450564i | 0.713345 | − | 0.700813i | \(-0.247179\pi\) |
0.968181 | + | 0.250249i | \(0.0805126\pi\) | |||||||
\(332\) | −9.92998 | + | 9.92998i | −0.544979 | + | 0.544979i | ||||
\(333\) | −15.5349 | − | 7.95197i | −0.851306 | − | 0.435765i | ||||
\(334\) | 16.0831i | 0.880026i | ||||||||
\(335\) | 1.83406 | + | 34.3425i | 0.100206 | + | 1.87633i | ||||
\(336\) | 0.0121401 | − | 0.00700907i | 0.000662295 | − | 0.000382376i | ||||
\(337\) | 16.7495 | + | 4.48800i | 0.912401 | + | 0.244477i | 0.684334 | − | 0.729168i | \(-0.260093\pi\) |
0.228067 | + | 0.973646i | \(0.426760\pi\) | |||||||
\(338\) | −3.40373 | − | 5.89544i | −0.185139 | − | 0.320669i | ||||
\(339\) | 1.89095 | − | 1.89095i | 0.102702 | − | 0.102702i | ||||
\(340\) | 4.00486 | − | 1.30566i | 0.217194 | − | 0.0708094i | ||||
\(341\) | −15.1048 | − | 15.1048i | −0.817973 | − | 0.817973i | ||||
\(342\) | −15.0920 | + | 4.04390i | −0.816084 | + | 0.218669i | ||||
\(343\) | 0.383466 | − | 0.383466i | 0.0207052 | − | 0.0207052i | ||||
\(344\) | −8.19202 | −0.441684 | ||||||||
\(345\) | −0.731844 | + | 0.0390842i | −0.0394012 | + | 0.00210422i | ||||
\(346\) | −1.14459 | + | 4.27166i | −0.0615334 | + | 0.229646i | ||||
\(347\) | 18.6679 | 1.00215 | 0.501074 | − | 0.865405i | \(-0.332939\pi\) | ||||
0.501074 | + | 0.865405i | \(0.332939\pi\) | |||||||
\(348\) | −2.85938 | − | 1.65087i | −0.153279 | − | 0.0884957i | ||||
\(349\) | −8.51145 | − | 4.91409i | −0.455608 | − | 0.263045i | 0.254588 | − | 0.967050i | \(-0.418060\pi\) |
−0.710196 | + | 0.704004i | \(0.751393\pi\) | |||||||
\(350\) | 0.191375 | + | 0.0299208i | 0.0102294 | + | 0.00159933i | ||||
\(351\) | −5.10479 | − | 1.36782i | −0.272473 | − | 0.0730090i | ||||
\(352\) | 2.98924 | − | 1.72584i | 0.159327 | − | 0.0919875i | ||||
\(353\) | 3.81914 | + | 2.20498i | 0.203272 | + | 0.117359i | 0.598181 | − | 0.801361i | \(-0.295890\pi\) |
−0.394909 | + | 0.918720i | \(0.629224\pi\) | |||||||
\(354\) | −0.721659 | + | 1.24995i | −0.0383557 | + | 0.0664341i | ||||
\(355\) | 18.4518 | − | 20.5338i | 0.979320 | − | 1.08982i | ||||
\(356\) | −1.82186 | − | 1.82186i | −0.0965586 | − | 0.0965586i | ||||
\(357\) | 0.0132037 | + | 0.0228695i | 0.000698815 | + | 0.00121038i | ||||
\(358\) | 6.23870 | − | 1.67165i | 0.329725 | − | 0.0883496i | ||||
\(359\) | 15.6181i | 0.824291i | 0.911118 | + | 0.412145i | \(0.135220\pi\) | ||||
−0.911118 | + | 0.412145i | \(0.864780\pi\) | |||||||
\(360\) | −1.32760 | + | 6.27655i | −0.0699706 | + | 0.330803i | ||||
\(361\) | 9.22926 | + | 5.32852i | 0.485751 | + | 0.280448i | ||||
\(362\) | 9.77591 | 0.513810 | ||||||||
\(363\) | −0.0856075 | + | 0.319492i | −0.00449323 | + | 0.0167690i | ||||
\(364\) | 0.0681678 | + | 0.0681678i | 0.00357296 | + | 0.00357296i | ||||
\(365\) | 9.47020 | − | 18.6321i | 0.495693 | − | 0.975249i | ||||
\(366\) | 0.00435520 | + | 0.00754342i | 0.000227650 | + | 0.000394301i | ||||
\(367\) | −6.32485 | + | 23.6047i | −0.330155 | + | 1.23215i | 0.578873 | + | 0.815418i | \(0.303493\pi\) |
−0.909028 | + | 0.416736i | \(0.863174\pi\) | |||||||
\(368\) | −0.452889 | + | 0.784426i | −0.0236085 | + | 0.0408910i | ||||
\(369\) | 27.7136 | 1.44271 | ||||||||
\(370\) | 13.4322 | + | 2.13945i | 0.698304 | + | 0.111225i | ||||
\(371\) | 0.131589 | 0.00683178 | ||||||||
\(372\) | −1.11970 | + | 1.93938i | −0.0580537 | + | 0.100552i | ||||
\(373\) | −4.98465 | + | 18.6030i | −0.258096 | + | 0.963226i | 0.708246 | + | 0.705965i | \(0.249487\pi\) |
−0.966342 | + | 0.257261i | \(0.917180\pi\) | |||||||
\(374\) | 3.25115 | + | 5.63115i | 0.168113 | + | 0.291180i | ||||
\(375\) | 3.13643 | − | 2.55536i | 0.161965 | − | 0.131958i | ||||
\(376\) | −5.31164 | − | 5.31164i | −0.273927 | − | 0.273927i | ||||
\(377\) | 5.87681 | − | 21.9326i | 0.302671 | − | 1.12958i | ||||
\(378\) | −0.0822734 | −0.00423169 | ||||||||
\(379\) | 13.8986 | + | 8.02439i | 0.713925 | + | 0.412185i | 0.812513 | − | 0.582943i | \(-0.198099\pi\) |
−0.0985873 | + | 0.995128i | \(0.531432\pi\) | |||||||
\(380\) | 10.2061 | − | 6.64235i | 0.523561 | − | 0.340746i | ||||
\(381\) | 5.85485i | 0.299953i | ||||||||
\(382\) | −8.88432 | + | 2.38055i | −0.454562 | + | 0.121799i | ||||
\(383\) | 1.35736 | + | 2.35102i | 0.0693579 | + | 0.120131i | 0.898619 | − | 0.438730i | \(-0.144572\pi\) |
−0.829261 | + | 0.558862i | \(0.811238\pi\) | |||||||
\(384\) | −0.255868 | − | 0.255868i | −0.0130572 | − | 0.0130572i | ||||
\(385\) | 0.0159455 | + | 0.298577i | 0.000812660 | + | 0.0152169i | ||||
\(386\) | −12.7439 | + | 22.0730i | −0.648646 | + | 1.12349i | ||||
\(387\) | 20.3546 | + | 11.7517i | 1.03468 | + | 0.597373i | ||||
\(388\) | −2.21533 | + | 1.27902i | −0.112466 | + | 0.0649324i | ||||
\(389\) | 11.6111 | + | 3.11119i | 0.588708 | + | 0.157744i | 0.540862 | − | 0.841111i | \(-0.318098\pi\) |
0.0478451 | + | 0.998855i | \(0.484765\pi\) | |||||||
\(390\) | 2.01063 | − | 0.107378i | 0.101812 | − | 0.00543728i | ||||
\(391\) | −1.47771 | − | 0.853154i | −0.0747308 | − | 0.0431459i | ||||
\(392\) | −6.06088 | − | 3.49925i | −0.306121 | − | 0.176739i | ||||
\(393\) | −3.05305 | −0.154006 | ||||||||
\(394\) | 2.29042 | − | 8.54797i | 0.115390 | − | 0.430641i | ||||
\(395\) | −0.595198 | − | 11.1450i | −0.0299477 | − | 0.560765i | ||||
\(396\) | −9.90308 | −0.497649 | ||||||||
\(397\) | −19.3447 | + | 19.3447i | −0.970884 | + | 0.970884i | −0.999588 | − | 0.0287044i | \(-0.990862\pi\) |
0.0287044 | + | 0.999588i | \(0.490862\pi\) | |||||||
\(398\) | −15.4278 | + | 4.13387i | −0.773326 | + | 0.207212i | ||||
\(399\) | 0.0539808 | + | 0.0539808i | 0.00270242 | + | 0.00270242i | ||||
\(400\) | −0.532532 | − | 4.97156i | −0.0266266 | − | 0.248578i | ||||
\(401\) | 7.48958 | − | 7.48958i | 0.374012 | − | 0.374012i | −0.494924 | − | 0.868936i | \(-0.664804\pi\) |
0.868936 | + | 0.494924i | \(0.164804\pi\) | |||||||
\(402\) | 2.78270 | + | 4.81978i | 0.138788 | + | 0.240389i | ||||
\(403\) | −14.8758 | − | 3.98595i | −0.741014 | − | 0.198554i | ||||
\(404\) | 13.8896 | − | 8.01916i | 0.691033 | − | 0.398968i | ||||
\(405\) | 11.7155 | − | 13.0374i | 0.582148 | − | 0.647835i | ||||
\(406\) | − | 0.353485i | − | 0.0175432i | ||||||
\(407\) | 1.05970 | + | 20.9690i | 0.0525274 | + | 1.03939i | ||||
\(408\) | 0.482005 | − | 0.482005i | 0.0238628 | − | 0.0238628i | ||||
\(409\) | −25.2943 | + | 6.77759i | −1.25072 | + | 0.335130i | −0.822616 | − | 0.568598i | \(-0.807486\pi\) |
−0.428107 | + | 0.903728i | \(0.640819\pi\) | |||||||
\(410\) | −20.5354 | + | 6.69495i | −1.01417 | + | 0.330640i | ||||
\(411\) | −2.44850 | + | 1.41364i | −0.120775 | + | 0.0697297i | ||||
\(412\) | −3.71247 | + | 2.14340i | −0.182900 | + | 0.105598i | ||||
\(413\) | −0.154522 | −0.00760355 | ||||||||
\(414\) | 2.25057 | − | 1.29937i | 0.110609 | − | 0.0638604i | ||||
\(415\) | −26.3184 | + | 17.1286i | −1.29192 | + | 0.840809i | ||||
\(416\) | 1.24424 | − | 2.15509i | 0.0610039 | − | 0.105662i | ||||
\(417\) | 2.35563 | + | 2.35563i | 0.115356 | + | 0.115356i | ||||
\(418\) | 13.2917 | + | 13.2917i | 0.650116 | + | 0.650116i | ||||
\(419\) | 6.62659 | + | 3.82586i | 0.323730 | + | 0.186906i | 0.653054 | − | 0.757311i | \(-0.273487\pi\) |
−0.329324 | + | 0.944217i | \(0.606821\pi\) | |||||||
\(420\) | 0.0298017 | − | 0.00971594i | 0.00145418 | − | 0.000474089i | ||||
\(421\) | 1.38114 | − | 1.38114i | 0.0673126 | − | 0.0673126i | −0.672649 | − | 0.739962i | \(-0.734844\pi\) |
0.739962 | + | 0.672649i | \(0.234844\pi\) | |||||||
\(422\) | 2.80497 | − | 4.85835i | 0.136544 | − | 0.236501i | ||||
\(423\) | 5.57802 | + | 20.8175i | 0.271213 | + | 1.01218i | ||||
\(424\) | −0.879138 | − | 3.28099i | −0.0426947 | − | 0.159339i | ||||
\(425\) | 9.36545 | − | 1.00319i | 0.454291 | − | 0.0486617i | ||||
\(426\) | 1.15624 | − | 4.31516i | 0.0560203 | − | 0.209070i | ||||
\(427\) | −0.000466269 | 0 | 0.000807602i | −2.25644e−5 | 0 | 3.90826e-5i | ||||
\(428\) | −4.61796 | + | 1.23738i | −0.223217 | + | 0.0598109i | ||||
\(429\) | 0.804436 | + | 3.00220i | 0.0388385 | + | 0.144947i | ||||
\(430\) | −17.9214 | − | 3.79069i | −0.864246 | − | 0.182803i | ||||
\(431\) | −37.4554 | − | 10.0361i | −1.80416 | − | 0.483424i | −0.809547 | − | 0.587055i | \(-0.800287\pi\) |
−0.994616 | + | 0.103630i | \(0.966954\pi\) | |||||||
\(432\) | 0.549662 | + | 2.05137i | 0.0264456 | + | 0.0986964i | ||||
\(433\) | −3.72069 | + | 3.72069i | −0.178805 | + | 0.178805i | −0.790835 | − | 0.612030i | \(-0.790353\pi\) |
0.612030 | + | 0.790835i | \(0.290353\pi\) | |||||||
\(434\) | −0.239751 | −0.0115084 | ||||||||
\(435\) | −5.49147 | − | 4.93467i | −0.263296 | − | 0.236599i | ||||
\(436\) | −4.14185 | + | 4.14185i | −0.198359 | + | 0.198359i | ||||
\(437\) | −4.76463 | − | 1.27668i | −0.227923 | − | 0.0610718i | ||||
\(438\) | − | 3.38226i | − | 0.161611i | ||||||
\(439\) | 4.30777 | − | 16.0768i | 0.205599 | − | 0.767305i | −0.783668 | − | 0.621180i | \(-0.786653\pi\) |
0.989266 | − | 0.146124i | \(-0.0466799\pi\) | |||||||
\(440\) | 7.33806 | − | 2.39235i | 0.349828 | − | 0.114051i | ||||
\(441\) | 10.0396 | + | 17.3890i | 0.478075 | + | 0.828050i | ||||
\(442\) | 4.05977 | + | 2.34391i | 0.193103 | + | 0.111488i | ||||
\(443\) | 10.2017 | + | 10.2017i | 0.484695 | + | 0.484695i | 0.906627 | − | 0.421932i | \(-0.138648\pi\) |
−0.421932 | + | 0.906627i | \(0.638648\pi\) | |||||||
\(444\) | 2.09460 | − | 0.676256i | 0.0994052 | − | 0.0320937i | ||||
\(445\) | −3.14260 | − | 4.82866i | −0.148974 | − | 0.228901i | ||||
\(446\) | −1.44931 | − | 5.40891i | −0.0686269 | − | 0.256119i | ||||
\(447\) | 5.37763 | + | 1.44093i | 0.254353 | + | 0.0681538i | ||||
\(448\) | 0.0100267 | − | 0.0374200i | 0.000473715 | − | 0.00176793i | ||||
\(449\) | −28.9067 | − | 7.74552i | −1.36419 | − | 0.365534i | −0.498837 | − | 0.866696i | \(-0.666239\pi\) |
−0.865353 | + | 0.501162i | \(0.832906\pi\) | |||||||
\(450\) | −5.80869 | + | 13.1167i | −0.273824 | + | 0.618326i | ||||
\(451\) | −16.6707 | − | 28.8745i | −0.784992 | − | 1.35965i | ||||
\(452\) | − | 7.39033i | − | 0.347612i | ||||||
\(453\) | 0.754140 | + | 2.81449i | 0.0354326 | + | 0.132236i | ||||
\(454\) | − | 7.77830i | − | 0.365054i | ||||||
\(455\) | 0.117585 | + | 0.180672i | 0.00551247 | + | 0.00847001i | ||||
\(456\) | 0.985291 | − | 1.70657i | 0.0461405 | − | 0.0799177i | ||||
\(457\) | 18.7594 | − | 10.8307i | 0.877525 | − | 0.506640i | 0.00768374 | − | 0.999970i | \(-0.497554\pi\) |
0.869842 | + | 0.493331i | \(0.164221\pi\) | |||||||
\(458\) | − | 1.88415i | − | 0.0880407i | ||||||
\(459\) | −3.86438 | + | 1.03546i | −0.180374 | + | 0.0483310i | ||||
\(460\) | −1.35375 | + | 1.50650i | −0.0631187 | + | 0.0702408i | ||||
\(461\) | 33.2879 | − | 8.91947i | 1.55037 | − | 0.415421i | 0.620773 | − | 0.783991i | \(-0.286819\pi\) |
0.929600 | + | 0.368570i | \(0.120152\pi\) | |||||||
\(462\) | 0.0241931 | + | 0.0419036i | 0.00112556 | + | 0.00194953i | ||||
\(463\) | 20.9835 | + | 36.3444i | 0.975184 | + | 1.68907i | 0.679326 | + | 0.733837i | \(0.262272\pi\) |
0.295858 | + | 0.955232i | \(0.404394\pi\) | |||||||
\(464\) | −8.81363 | + | 2.36161i | −0.409163 | + | 0.109635i | ||||
\(465\) | −3.34694 | + | 3.72459i | −0.155210 | + | 0.172724i | ||||
\(466\) | 9.15897 | − | 2.45414i | 0.424281 | − | 0.113686i | ||||
\(467\) | − | 34.0379i | − | 1.57509i | −0.616259 | − | 0.787544i | \(-0.711353\pi\) | ||
0.616259 | − | 0.787544i | \(-0.288647\pi\) | |||||||
\(468\) | −6.18308 | + | 3.56980i | −0.285813 | + | 0.165014i | ||||
\(469\) | −0.297917 | + | 0.516008i | −0.0137565 | + | 0.0238270i | ||||
\(470\) | −9.16224 | − | 14.0779i | −0.422623 | − | 0.649367i | ||||
\(471\) | − | 0.621106i | − | 0.0286190i | ||||||
\(472\) | 1.03235 | + | 3.85279i | 0.0475178 | + | 0.177339i | ||||
\(473\) | − | 28.2762i | − | 1.30014i | ||||||
\(474\) | −0.903054 | − | 1.56413i | −0.0414786 | − | 0.0718431i | ||||
\(475\) | 25.4011 | − | 9.80859i | 1.16548 | − | 0.450049i | ||||
\(476\) | 0.0704920 | + | 0.0188883i | 0.00323099 | + | 0.000865742i | ||||
\(477\) | −2.52230 | + | 9.41336i | −0.115488 | + | 0.431008i | ||||
\(478\) | −5.97079 | − | 1.59987i | −0.273098 | − | 0.0731763i | ||||
\(479\) | −1.43918 | − | 5.37111i | −0.0657580 | − | 0.245412i | 0.925221 | − | 0.379428i | \(-0.123879\pi\) |
−0.990979 | + | 0.134016i | \(0.957213\pi\) | |||||||
\(480\) | −0.441356 | − | 0.678151i | −0.0201450 | − | 0.0309532i | ||||
\(481\) | 8.22041 | + | 12.7102i | 0.374818 | + | 0.579534i | ||||
\(482\) | −6.29371 | − | 6.29371i | −0.286671 | − | 0.286671i | ||||
\(483\) | −0.0109962 | − | 0.00634866i | −0.000500344 | − | 0.000288874i | ||||
\(484\) | 0.457041 | + | 0.791618i | 0.0207746 | + | 0.0359826i | ||||
\(485\) | −5.43823 | + | 1.77297i | −0.246937 | + | 0.0805064i | ||||
\(486\) | 2.38311 | − | 8.89390i | 0.108100 | − | 0.403436i | ||||
\(487\) | 22.8368i | 1.03484i | 0.855733 | + | 0.517418i | \(0.173107\pi\) | ||||
−0.855733 | + | 0.517418i | \(0.826893\pi\) | |||||||
\(488\) | 0.0232515 | + | 0.00623022i | 0.00105255 | + | 0.000282029i | ||||
\(489\) | −1.58137 | + | 1.58137i | −0.0715122 | + | 0.0715122i | ||||
\(490\) | −11.6400 | − | 10.4597i | −0.525840 | − | 0.472523i | ||||
\(491\) | −30.9246 | −1.39561 | −0.697804 | − | 0.716288i | \(-0.745839\pi\) | ||||
−0.697804 | + | 0.716288i | \(0.745839\pi\) | |||||||
\(492\) | −2.47155 | + | 2.47155i | −0.111426 | + | 0.111426i | ||||
\(493\) | −4.44881 | − | 16.6032i | −0.200364 | − | 0.747769i | ||||
\(494\) | 13.0901 | + | 3.50747i | 0.588950 | + | 0.157809i | ||||
\(495\) | −21.6646 | − | 4.58245i | −0.973753 | − | 0.205966i | ||||
\(496\) | 1.60176 | + | 5.97785i | 0.0719211 | + | 0.268413i | ||||
\(497\) | 0.461984 | − | 0.123788i | 0.0207228 | − | 0.00555266i | ||||
\(498\) | −2.54076 | + | 4.40073i | −0.113854 | + | 0.197201i | ||||
\(499\) | −7.78532 | + | 29.0552i | −0.348519 | + | 1.30069i | 0.539928 | + | 0.841711i | \(0.318451\pi\) |
−0.888447 | + | 0.458979i | \(0.848215\pi\) | |||||||
\(500\) | 1.13548 | − | 11.1225i | 0.0507804 | − | 0.497415i | ||||
\(501\) | 1.50625 | + | 5.62138i | 0.0672941 | + | 0.251145i | ||||
\(502\) | 3.19233 | + | 11.9139i | 0.142481 | + | 0.531745i | ||||
\(503\) | −10.2683 | + | 17.7851i | −0.457839 | + | 0.793000i | −0.998847 | − | 0.0480173i | \(-0.984710\pi\) |
0.541007 | + | 0.841018i | \(0.318043\pi\) | |||||||
\(504\) | −0.0785932 | + | 0.0785932i | −0.00350082 | + | 0.00350082i | ||||
\(505\) | 34.0965 | − | 11.1161i | 1.51727 | − | 0.494661i | ||||
\(506\) | −2.70759 | − | 1.56323i | −0.120367 | − | 0.0694939i | ||||
\(507\) | −1.74181 | − | 1.74181i | −0.0773565 | − | 0.0773565i | ||||
\(508\) | 11.4412 | + | 11.4412i | 0.507619 | + | 0.507619i | ||||
\(509\) | 3.81799 | − | 6.61296i | 0.169230 | − | 0.293114i | −0.768920 | − | 0.639345i | \(-0.779205\pi\) |
0.938149 | + | 0.346231i | \(0.112539\pi\) | |||||||
\(510\) | 1.27750 | − | 0.831428i | 0.0565688 | − | 0.0368163i | ||||
\(511\) | 0.313593 | − | 0.181053i | 0.0138725 | − | 0.00800932i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −10.0160 | + | 5.78274i | −0.442217 | + | 0.255314i | ||||
\(514\) | 25.9078 | − | 14.9579i | 1.14274 | − | 0.659763i | ||||
\(515\) | −9.11346 | + | 2.97117i | −0.401587 | + | 0.130925i | ||||
\(516\) | −2.86329 | + | 0.767216i | −0.126049 | + | 0.0337748i | ||||
\(517\) | 18.3341 | − | 18.3341i | 0.806332 | − | 0.806332i | ||||
\(518\) | 0.174825 | + | 0.158005i | 0.00768136 | + | 0.00694233i | ||||
\(519\) | 1.60023i | 0.0702424i | ||||||||
\(520\) | 3.71920 | − | 4.13886i | 0.163098 | − | 0.181501i | ||||
\(521\) | 19.9246 | − | 11.5035i | 0.872915 | − | 0.503977i | 0.00459887 | − | 0.999989i | \(-0.498536\pi\) |
0.868316 | + | 0.496012i | \(0.165203\pi\) | |||||||
\(522\) | 25.2869 | + | 6.77560i | 1.10678 | + | 0.296560i | ||||
\(523\) | −4.20802 | − | 7.28850i | −0.184004 | − | 0.318704i | 0.759237 | − | 0.650815i | \(-0.225573\pi\) |
−0.943240 | + | 0.332111i | \(0.892239\pi\) | |||||||
\(524\) | −5.96607 | + | 5.96607i | −0.260629 | + | 0.260629i | ||||
\(525\) | 0.0696921 | − | 0.00746511i | 0.00304161 | − | 0.000325804i | ||||
\(526\) | −14.5827 | − | 14.5827i | −0.635835 | − | 0.635835i | ||||
\(527\) | −11.2611 | + | 3.01740i | −0.490541 | + | 0.131440i | ||||
\(528\) | 0.883173 | − | 0.883173i | 0.0384352 | − | 0.0384352i | ||||
\(529\) | −22.1796 | −0.964329 | ||||||||
\(530\) | −0.405051 | − | 7.58451i | −0.0175943 | − | 0.329450i | ||||
\(531\) | 2.96188 | − | 11.0539i | 0.128535 | − | 0.479698i | ||||
\(532\) | 0.210971 | 0.00914677 | ||||||||
\(533\) | −20.8170 | − | 12.0187i | −0.901684 | − | 0.520587i | ||||
\(534\) | −0.807407 | − | 0.466157i | −0.0349399 | − | 0.0201726i | ||||
\(535\) | −10.6751 | + | 0.570105i | −0.461525 | + | 0.0246478i | ||||
\(536\) | 14.8563 | + | 3.98072i | 0.641693 | + | 0.171941i | ||||
\(537\) | 2.02400 | − | 1.16856i | 0.0873422 | − | 0.0504271i | ||||
\(538\) | −7.89176 | − | 4.55631i | −0.340238 | − | 0.196436i | ||||
\(539\) | 12.0783 | − | 20.9202i | 0.520248 | − | 0.901097i | ||||
\(540\) | 0.253249 | + | 4.74205i | 0.0108981 | + | 0.204065i | ||||
\(541\) | −26.2274 | − | 26.2274i | −1.12760 | − | 1.12760i | −0.990566 | − | 0.137037i | \(-0.956242\pi\) |
−0.137037 | − | 0.990566i | \(-0.543758\pi\) | |||||||
\(542\) | −6.57499 | − | 11.3882i | −0.282420 | − | 0.489166i | ||||
\(543\) | 3.41689 | − | 0.915554i | 0.146633 | − | 0.0392902i | ||||
\(544\) | − | 1.88381i | − | 0.0807675i | ||||||
\(545\) | −10.9775 | + | 7.14443i | −0.470226 | + | 0.306034i | ||||
\(546\) | 0.0302103 | + | 0.0174419i | 0.00129288 | + | 0.000746446i | ||||
\(547\) | 29.1061 | 1.24449 | 0.622244 | − | 0.782823i | \(-0.286221\pi\) | ||||
0.622244 | + | 0.782823i | \(0.286221\pi\) | |||||||
\(548\) | −2.02225 | + | 7.54713i | −0.0863862 | + | 0.322398i | ||||
\(549\) | −0.0488351 | − | 0.0488351i | −0.00208423 | − | 0.00208423i | ||||
\(550\) | 17.1602 | − | 1.83813i | 0.731714 | − | 0.0783781i | ||||
\(551\) | −24.8453 | − | 43.0334i | −1.05845 | − | 1.83328i | ||||
\(552\) | −0.0848298 | + | 0.316589i | −0.00361059 | + | 0.0134749i | ||||
\(553\) | 0.0966813 | − | 0.167457i | 0.00411131 | − | 0.00712100i | ||||
\(554\) | −16.6003 | −0.705278 | ||||||||
\(555\) | 4.89520 | − | 0.510192i | 0.207790 | − | 0.0216564i | ||||
\(556\) | 9.20643 | 0.390440 | ||||||||
\(557\) | 3.77101 | − | 6.53158i | 0.159783 | − | 0.276752i | −0.775007 | − | 0.631952i | \(-0.782254\pi\) |
0.934790 | + | 0.355200i | \(0.115587\pi\) | |||||||
\(558\) | 4.59555 | − | 17.1508i | 0.194545 | − | 0.726052i | ||||
\(559\) | −10.1928 | − | 17.6545i | −0.431111 | − | 0.746706i | ||||
\(560\) | 0.0392503 | − | 0.0772228i | 0.00165863 | − | 0.00326326i | ||||
\(561\) | 1.66373 | + | 1.66373i | 0.0702426 | + | 0.0702426i | ||||
\(562\) | −7.64045 | + | 28.5145i | −0.322293 | + | 1.20281i | ||||
\(563\) | 24.0624 | 1.01411 | 0.507054 | − | 0.861914i | \(-0.330734\pi\) | ||||
0.507054 | + | 0.861914i | \(0.330734\pi\) | |||||||
\(564\) | −2.35399 | − | 1.35908i | −0.0991210 | − | 0.0572275i | ||||
\(565\) | 3.41972 | − | 16.1676i | 0.143869 | − | 0.680175i | ||||
\(566\) | 14.9327i | 0.627666i | ||||||||
\(567\) | 0.293325 | − | 0.0785961i | 0.0123185 | − | 0.00330073i | ||||
\(568\) | −6.17295 | − | 10.6919i | −0.259011 | − | 0.448621i | ||||
\(569\) | −12.1736 | − | 12.1736i | −0.510346 | − | 0.510346i | 0.404286 | − | 0.914632i | \(-0.367520\pi\) |
−0.914632 | + | 0.404286i | \(0.867520\pi\) | |||||||
\(570\) | 2.94517 | − | 3.27749i | 0.123360 | − | 0.137279i | ||||
\(571\) | −11.8671 | + | 20.5543i | −0.496621 | + | 0.860172i | −0.999992 | − | 0.00389768i | \(-0.998759\pi\) |
0.503372 | + | 0.864070i | \(0.332093\pi\) | |||||||
\(572\) | 7.43867 | + | 4.29472i | 0.311026 | + | 0.179571i | ||||
\(573\) | −2.88232 | + | 1.66411i | −0.120411 | + | 0.0695191i | ||||
\(574\) | −0.361457 | − | 0.0968521i | −0.0150869 | − | 0.00404253i | ||||
\(575\) | −3.65864 | + | 2.66929i | −0.152576 | + | 0.111317i | ||||
\(576\) | 2.48468 | + | 1.43453i | 0.103528 | + | 0.0597722i | ||||
\(577\) | −38.2570 | − | 22.0877i | −1.59266 | − | 0.919523i | −0.992848 | − | 0.119382i | \(-0.961909\pi\) |
−0.599812 | − | 0.800141i | \(-0.704758\pi\) | |||||||
\(578\) | −13.4513 | −0.559499 | ||||||||
\(579\) | −2.38703 | + | 8.90852i | −0.0992017 | + | 0.370226i | ||||
\(580\) | −20.3741 | + | 1.08808i | −0.845987 | + | 0.0451800i | ||||
\(581\) | −0.544031 | −0.0225702 | ||||||||
\(582\) | −0.654520 | + | 0.654520i | −0.0271307 | + | 0.0271307i | ||||
\(583\) | 11.3249 | − | 3.03450i | 0.469030 | − | 0.125676i | ||||
\(584\) | −6.60939 | − | 6.60939i | −0.273498 | − | 0.273498i | ||||
\(585\) | −15.1784 | + | 4.94845i | −0.627548 | + | 0.204593i | ||||
\(586\) | −0.579444 | + | 0.579444i | −0.0239366 | + | 0.0239366i | ||||
\(587\) | −3.18681 | − | 5.51972i | −0.131534 | − | 0.227823i | 0.792734 | − | 0.609568i | \(-0.208657\pi\) |
−0.924268 | + | 0.381744i | \(0.875324\pi\) | |||||||
\(588\) | −2.44613 | − | 0.655438i | −0.100877 | − | 0.0270298i | ||||
\(589\) | −29.1874 | + | 16.8514i | −1.20265 | + | 0.694348i | ||||
\(590\) | 0.475642 | + | 8.90631i | 0.0195819 | + | 0.366667i | ||||
\(591\) | − | 3.20221i | − | 0.131721i | ||||||
\(592\) | 2.77163 | − | 5.41462i | 0.113913 | − | 0.222539i | ||||
\(593\) | 2.13586 | − | 2.13586i | 0.0877091 | − | 0.0877091i | −0.661891 | − | 0.749600i | \(-0.730246\pi\) |
0.749600 | + | 0.661891i | \(0.230246\pi\) | |||||||
\(594\) | −7.08066 | + | 1.89726i | −0.290523 | + | 0.0778454i | ||||
\(595\) | 0.145473 | + | 0.0739399i | 0.00596380 | + | 0.00303124i | ||||
\(596\) | 13.3244 | − | 7.69284i | 0.545788 | − | 0.315111i | ||||
\(597\) | −5.00520 | + | 2.88975i | −0.204849 | + | 0.118270i | ||||
\(598\) | −2.25401 | −0.0921733 | ||||||||
\(599\) | 26.1788 | − | 15.1143i | 1.06964 | − | 0.617554i | 0.141553 | − | 0.989931i | \(-0.454790\pi\) |
0.928082 | + | 0.372377i | \(0.121457\pi\) | |||||||
\(600\) | −0.651739 | − | 1.68780i | −0.0266071 | − | 0.0689040i | ||||
\(601\) | 23.7499 | − | 41.1361i | 0.968780 | − | 1.67798i | 0.269682 | − | 0.962949i | \(-0.413081\pi\) |
0.699098 | − | 0.715026i | \(-0.253585\pi\) | |||||||
\(602\) | −0.224407 | − | 0.224407i | −0.00914613 | − | 0.00914613i | ||||
\(603\) | −31.2026 | − | 31.2026i | −1.27067 | − | 1.27067i | ||||
\(604\) | 6.97358 | + | 4.02620i | 0.283751 | + | 0.163824i | ||||
\(605\) | 0.633548 | + | 1.94328i | 0.0257574 | + | 0.0790056i | ||||
\(606\) | 4.10369 | − | 4.10369i | 0.166701 | − | 0.166701i | ||||
\(607\) | −1.24940 | + | 2.16403i | −0.0507116 | + | 0.0878351i | −0.890267 | − | 0.455439i | \(-0.849482\pi\) |
0.839555 | + | 0.543274i | \(0.182816\pi\) | |||||||
\(608\) | −1.40948 | − | 5.26026i | −0.0571621 | − | 0.213332i | ||||
\(609\) | −0.0331053 | − | 0.123551i | −0.00134150 | − | 0.00500653i | ||||
\(610\) | 0.0479836 | + | 0.0243888i | 0.00194280 | + | 0.000987473i | ||||
\(611\) | 4.83809 | − | 18.0560i | 0.195728 | − | 0.730468i | ||||
\(612\) | −2.70238 | + | 4.68066i | −0.109237 | + | 0.189204i | ||||
\(613\) | 11.4585 | − | 3.07030i | 0.462805 | − | 0.124008i | −0.0198797 | − | 0.999802i | \(-0.506328\pi\) |
0.482685 | + | 0.875794i | \(0.339662\pi\) | |||||||
\(614\) | 1.59327 | + | 5.94617i | 0.0642992 | + | 0.239968i | ||||
\(615\) | −6.55057 | + | 4.26326i | −0.264145 | + | 0.171911i | ||||
\(616\) | 0.129162 | + | 0.0346088i | 0.00520408 | + | 0.00139443i | ||||
\(617\) | −6.07156 | − | 22.6594i | −0.244432 | − | 0.912231i | −0.973668 | − | 0.227970i | \(-0.926791\pi\) |
0.729237 | − | 0.684262i | \(-0.239875\pi\) | |||||||
\(618\) | −1.09685 | + | 1.09685i | −0.0441219 | + | 0.0441219i | ||||
\(619\) | 20.4916 | 0.823627 | 0.411814 | − | 0.911268i | \(-0.364895\pi\) | ||||
0.411814 | + | 0.911268i | \(0.364895\pi\) | |||||||
\(620\) | 0.737989 | + | 13.8187i | 0.0296384 | + | 0.554973i | ||||
\(621\) | 1.36021 | − | 1.36021i | 0.0545833 | − | 0.0545833i | ||||
\(622\) | 17.0592 | + | 4.57100i | 0.684012 | + | 0.183280i | ||||
\(623\) | − | 0.0998139i | − | 0.00399896i | ||||||
\(624\) | 0.233056 | − | 0.869779i | 0.00932973 | − | 0.0348190i | ||||
\(625\) | 7.63078 | − | 23.8070i | 0.305231 | − | 0.952278i | ||||
\(626\) | 4.75598 | + | 8.23759i | 0.190087 | + | 0.329240i | ||||
\(627\) | 5.89054 | + | 3.40091i | 0.235246 | + | 0.135819i | ||||
\(628\) | −1.21372 | − | 1.21372i | −0.0484328 | − | 0.0484328i | ||||
\(629\) | 10.2001 | + | 5.22121i | 0.406704 | + | 0.208183i | ||||
\(630\) | −0.208303 | + | 0.135568i | −0.00829899 | + | 0.00540117i | ||||
\(631\) | 12.1068 | + | 45.1831i | 0.481963 | + | 1.79871i | 0.593364 | + | 0.804934i | \(0.297799\pi\) |
−0.111401 | + | 0.993775i | \(0.535534\pi\) | |||||||
\(632\) | −4.82122 | − | 1.29184i | −0.191778 | − | 0.0513867i | ||||
\(633\) | 0.525394 | − | 1.96080i | 0.0208826 | − | 0.0779348i | ||||
\(634\) | 29.7776 | + | 7.97887i | 1.18262 | + | 0.316882i | ||||
\(635\) | 19.7353 | + | 30.3236i | 0.783170 | + | 1.20335i | ||||
\(636\) | −0.614556 | − | 1.06444i | −0.0243687 | − | 0.0422079i | ||||
\(637\) | − | 17.4156i | − | 0.690032i | ||||||
\(638\) | −8.15150 | − | 30.4218i | −0.322721 | − | 1.20441i | ||||
\(639\) | 35.4212i | 1.40124i | ||||||||
\(640\) | −2.18767 | − | 0.462729i | −0.0864751 | − | 0.0182910i | ||||
\(641\) | −14.6814 | + | 25.4290i | −0.579882 | + | 1.00438i | 0.415610 | + | 0.909543i | \(0.363568\pi\) |
−0.995492 | + | 0.0948421i | \(0.969765\pi\) | |||||||
\(642\) | −1.49819 | + | 0.864981i | −0.0591289 | + | 0.0341381i | ||||
\(643\) | 48.3551i | 1.90694i | 0.301489 | + | 0.953470i | \(0.402516\pi\) | ||||
−0.301489 | + | 0.953470i | \(0.597484\pi\) | |||||||
\(644\) | −0.0338942 | + | 0.00908192i | −0.00133562 | + | 0.000357878i | ||||
\(645\) | −6.61893 | + | 0.353485i | −0.260620 | + | 0.0139184i | ||||
\(646\) | 9.90932 | − | 2.65519i | 0.389877 | − | 0.104467i | ||||
\(647\) | −20.6475 | − | 35.7625i | −0.811737 | − | 1.40597i | −0.911647 | − | 0.410974i | \(-0.865189\pi\) |
0.0999100 | − | 0.994996i | \(-0.468145\pi\) | |||||||
\(648\) | −3.91936 | − | 6.78853i | −0.153967 | − | 0.266678i | ||||
\(649\) | −13.2986 | + | 3.56335i | −0.522015 | + | 0.139874i | ||||
\(650\) | 10.0515 | − | 7.33347i | 0.394254 | − | 0.287642i | ||||
\(651\) | −0.0837983 | + | 0.0224537i | −0.00328431 | + | 0.000880030i | ||||
\(652\) | 6.18043i | 0.242044i | ||||||||
\(653\) | −4.83500 | + | 2.79149i | −0.189208 | + | 0.109239i | −0.591612 | − | 0.806223i | \(-0.701508\pi\) |
0.402404 | + | 0.915462i | \(0.368175\pi\) | |||||||
\(654\) | −1.05977 | + | 1.83557i | −0.0414401 | + | 0.0717764i | ||||
\(655\) | −15.8124 | + | 10.2911i | −0.617843 | + | 0.402106i | ||||
\(656\) | 9.65946i | 0.377139i | ||||||||
\(657\) | 6.94085 | + | 25.9036i | 0.270788 | + | 1.01060i | ||||
\(658\) | − | 0.291007i | − | 0.0113446i | ||||||
\(659\) | 11.6925 | + | 20.2521i | 0.455477 | + | 0.788909i | 0.998715 | − | 0.0506693i | \(-0.0161355\pi\) |
−0.543239 | + | 0.839578i | \(0.682802\pi\) | |||||||
\(660\) | 2.34076 | − | 1.52342i | 0.0911139 | − | 0.0592990i | ||||
\(661\) | −23.1904 | − | 6.21386i | −0.902003 | − | 0.241691i | −0.222127 | − | 0.975018i | \(-0.571300\pi\) |
−0.679876 | + | 0.733327i | \(0.737967\pi\) | |||||||
\(662\) | 8.19729 | − | 30.5927i | 0.318597 | − | 1.18902i | ||||
\(663\) | 1.63849 | + | 0.439033i | 0.0636338 | + | 0.0170506i | ||||
\(664\) | 3.63463 | + | 13.5646i | 0.141051 | + | 0.526409i | ||||
\(665\) | 0.461535 | + | 0.0976227i | 0.0178976 | + | 0.00378564i | ||||
\(666\) | −14.6541 | + | 9.47762i | −0.567833 | + | 0.367250i | ||||
\(667\) | 5.84410 | + | 5.84410i | 0.226284 | + | 0.226284i | ||||
\(668\) | 13.9283 | + | 8.04153i | 0.538904 | + | 0.311136i | ||||
\(669\) | −1.01313 | − | 1.75480i | −0.0391700 | − | 0.0678444i | ||||
\(670\) | 30.6585 | + | 15.5829i | 1.18444 | + | 0.602021i | ||||
\(671\) | −0.0215047 | + | 0.0802567i | −0.000830180 | + | 0.00309827i | ||||
\(672\) | − | 0.0140181i | − | 0.000540762i | ||||||
\(673\) | −19.9447 | − | 5.34416i | −0.768811 | − | 0.206002i | −0.146965 | − | 0.989142i | \(-0.546950\pi\) |
−0.621846 | + | 0.783140i | \(0.713617\pi\) | |||||||
\(674\) | 12.2615 | − | 12.2615i | 0.472293 | − | 0.472293i | ||||
\(675\) | −1.64026 | + | 10.4912i | −0.0631336 | + | 0.403807i | ||||
\(676\) | −6.80746 | −0.261826 | ||||||||
\(677\) | −23.8894 | + | 23.8894i | −0.918144 | + | 0.918144i | −0.996894 | − | 0.0787507i | \(-0.974907\pi\) |
0.0787507 | + | 0.996894i | \(0.474907\pi\) | |||||||
\(678\) | −0.692135 | − | 2.58308i | −0.0265813 | − | 0.0992026i | ||||
\(679\) | −0.0957218 | − | 0.0256486i | −0.00367346 | − | 0.000984302i | ||||
\(680\) | 0.871692 | − | 4.12114i | 0.0334279 | − | 0.158038i | ||||
\(681\) | −0.728470 | − | 2.71869i | −0.0279150 | − | 0.104180i | ||||
\(682\) | −20.6336 | + | 5.52876i | −0.790101 | + | 0.211707i | ||||
\(683\) | 9.90437 | − | 17.1549i | 0.378980 | − | 0.656413i | −0.611934 | − | 0.790909i | \(-0.709608\pi\) |
0.990914 | + | 0.134496i | \(0.0429415\pi\) | |||||||
\(684\) | −4.04390 | + | 15.0920i | −0.154622 | + | 0.577058i | ||||
\(685\) | −7.91628 | + | 15.5749i | −0.302466 | + | 0.595085i | ||||
\(686\) | −0.140358 | − | 0.523824i | −0.00535890 | − | 0.0199997i | ||||
\(687\) | −0.176459 | − | 0.658553i | −0.00673232 | − | 0.0251254i | ||||
\(688\) | −4.09601 | + | 7.09449i | −0.156159 | + | 0.270475i | ||||
\(689\) | 5.97696 | − | 5.97696i | 0.227704 | − | 0.227704i | ||||
\(690\) | −0.332074 | + | 0.653338i | −0.0126418 | + | 0.0248721i | ||||
\(691\) | −22.6779 | − | 13.0931i | −0.862709 | − | 0.498085i | 0.00220952 | − | 0.999998i | \(-0.499297\pi\) |
−0.864919 | + | 0.501912i | \(0.832630\pi\) | |||||||
\(692\) | 3.12707 | + | 3.12707i | 0.118873 | + | 0.118873i | ||||
\(693\) | −0.271278 | − | 0.271278i | −0.0103050 | − | 0.0103050i | ||||
\(694\) | 9.33397 | − | 16.1669i | 0.354312 | − | 0.613687i | ||||
\(695\) | 20.1406 | + | 4.26009i | 0.763976 | + | 0.161594i | ||||
\(696\) | −2.85938 | + | 1.65087i | −0.108385 | + | 0.0625759i | ||||
\(697\) | −18.1966 | −0.689243 | ||||||||
\(698\) | −8.51145 | + | 4.91409i | −0.322163 | + | 0.186001i | ||||
\(699\) | 2.97142 | − | 1.71555i | 0.112389 | − | 0.0648881i | ||||
\(700\) | 0.121600 | − | 0.150775i | 0.00459604 | − | 0.00569878i | ||||
\(701\) | 3.56684 | − | 0.955731i | 0.134718 | − | 0.0360975i | −0.190830 | − | 0.981623i | \(-0.561118\pi\) |
0.325548 | + | 0.945526i | \(0.394451\pi\) | |||||||
\(702\) | −3.73696 | + | 3.73696i | −0.141043 | + | 0.141043i | ||||
\(703\) | 32.3889 | + | 6.94767i | 1.22157 | + | 0.262036i | ||||
\(704\) | − | 3.45168i | − | 0.130090i | ||||||
\(705\) | −4.52086 | − | 4.06247i | −0.170266 | − | 0.153001i | ||||
\(706\) | 3.81914 | − | 2.20498i | 0.143735 | − | 0.0829856i | ||||
\(707\) | 0.600154 | + | 0.160811i | 0.0225711 | + | 0.00604791i | ||||
\(708\) | 0.721659 | + | 1.24995i | 0.0271216 | + | 0.0469760i | ||||
\(709\) | −1.77322 | + | 1.77322i | −0.0665945 | + | 0.0665945i | −0.739620 | − | 0.673025i | \(-0.764995\pi\) |
0.673025 | + | 0.739620i | \(0.264995\pi\) | |||||||
\(710\) | −8.55692 | − | 26.2466i | −0.321135 | − | 0.985019i | ||||
\(711\) | 10.1260 | + | 10.1260i | 0.379755 | + | 0.379755i | ||||
\(712\) | −2.48871 | + | 0.666849i | −0.0932685 | + | 0.0249912i | ||||
\(713\) | 3.96376 | − | 3.96376i | 0.148444 | − | 0.148444i | ||||
\(714\) | 0.0264075 | 0.000988274 | ||||||||
\(715\) | 14.2860 | + | 12.8375i | 0.534267 | + | 0.480095i | ||||
\(716\) | 1.67165 | − | 6.23870i | 0.0624726 | − | 0.233151i | ||||
\(717\) | −2.23676 | −0.0835332 | ||||||||
\(718\) | 13.5257 | + | 7.80904i | 0.504773 | + | 0.291431i | ||||
\(719\) | −21.2320 | − | 12.2583i | −0.791819 | − | 0.457157i | 0.0487837 | − | 0.998809i | \(-0.484466\pi\) |
−0.840602 | + | 0.541653i | \(0.817799\pi\) | |||||||
\(720\) | 4.77185 | + | 4.28801i | 0.177836 | + | 0.159805i | ||||
\(721\) | −0.160412 | − | 0.0429822i | −0.00597404 | − | 0.00160074i | ||||
\(722\) | 9.22926 | − | 5.32852i | 0.343478 | − | 0.198307i | ||||
\(723\) | −2.78922 | − | 1.61036i | −0.103732 | − | 0.0598899i | ||||
\(724\) | 4.88795 | − | 8.46618i | 0.181659 | − | 0.314643i | ||||
\(725\) | −45.0751 | − | 7.04733i | −1.67405 | − | 0.261731i | ||||
\(726\) | 0.233884 | + | 0.233884i | 0.00868025 | + | 0.00868025i | ||||
\(727\) | 18.6931 | + | 32.3774i | 0.693289 | + | 1.20081i | 0.970754 | + | 0.240076i | \(0.0771724\pi\) |
−0.277465 | + | 0.960736i | \(0.589494\pi\) | |||||||
\(728\) | 0.0931189 | − | 0.0249511i | 0.00345122 | − | 0.000924751i | ||||
\(729\) | 20.1843i | 0.747568i | ||||||||
\(730\) | −11.4008 | − | 17.5175i | −0.421962 | − | 0.648351i | ||||
\(731\) | −13.3646 | − | 7.71608i | −0.494309 | − | 0.285390i | ||||
\(732\) | 0.00871039 | 0.000321945 | ||||||||
\(733\) | −4.82643 | + | 18.0125i | −0.178268 | + | 0.665306i | 0.817704 | + | 0.575639i | \(0.195247\pi\) |
−0.995972 | + | 0.0896664i | \(0.971420\pi\) | |||||||
\(734\) | 17.2798 | + | 17.2798i | 0.637810 | + | 0.637810i | ||||
\(735\) | −5.04802 | − | 2.56578i | −0.186199 | − | 0.0946401i | ||||
\(736\) | 0.452889 | + | 0.784426i | 0.0166937 | + | 0.0289143i | ||||
\(737\) | −13.7402 | + | 51.2790i | −0.506126 | + | 1.88889i | ||||
\(738\) | 13.8568 | − | 24.0007i | 0.510076 | − | 0.883478i | ||||
\(739\) | −38.4904 | −1.41589 | −0.707946 | − | 0.706267i | \(-0.750378\pi\) | ||||
−0.707946 | + | 0.706267i | \(0.750378\pi\) | |||||||
\(740\) | 8.56889 | − | 10.5629i | 0.314999 | − | 0.388299i | ||||
\(741\) | 4.90376 | 0.180144 | ||||||||
\(742\) | 0.0657947 | − | 0.113960i | 0.00241540 | − | 0.00418359i | ||||
\(743\) | −3.96390 | + | 14.7935i | −0.145421 | + | 0.542719i | 0.854315 | + | 0.519755i | \(0.173977\pi\) |
−0.999736 | + | 0.0229639i | \(0.992690\pi\) | |||||||
\(744\) | 1.11970 | + | 1.93938i | 0.0410502 | + | 0.0711010i | ||||
\(745\) | 32.7090 | − | 10.6638i | 1.19837 | − | 0.390691i | ||||
\(746\) | 13.6183 | + | 13.6183i | 0.498602 | + | 0.498602i | ||||
\(747\) | 10.4280 | − | 38.9177i | 0.381540 | − | 1.42393i | ||||
\(748\) | 6.50229 | 0.237747 | ||||||||
\(749\) | −0.160397 | − | 0.0926053i | −0.00586078 | − | 0.00338372i | ||||
\(750\) | −0.644794 | − | 3.99391i | −0.0235445 | − | 0.145837i | ||||
\(751\) | 43.8126i | 1.59875i | 0.600835 | + | 0.799373i | \(0.294835\pi\) | ||||
−0.600835 | + | 0.799373i | \(0.705165\pi\) | |||||||
\(752\) | −7.25584 | + | 1.94420i | −0.264593 | + | 0.0708975i | ||||
\(753\) | 2.23158 | + | 3.86521i | 0.0813233 | + | 0.140856i | ||||
\(754\) | −16.0557 | − | 16.0557i | −0.584716 | − | 0.584716i | ||||
\(755\) | 13.3928 | + | 12.0349i | 0.487415 | + | 0.437993i | ||||
\(756\) | −0.0411367 | + | 0.0712508i | −0.00149613 | + | 0.00259137i | ||||
\(757\) | 12.1669 | + | 7.02456i | 0.442213 | + | 0.255312i | 0.704536 | − | 0.709668i | \(-0.251155\pi\) |
−0.262323 | + | 0.964980i | \(0.584488\pi\) | |||||||
\(758\) | 13.8986 | − | 8.02439i | 0.504822 | − | 0.291459i | ||||
\(759\) | −1.09276 | − | 0.292805i | −0.0396648 | − | 0.0106282i | ||||
\(760\) | −0.649401 | − | 12.1599i | −0.0235562 | − | 0.441086i | ||||
\(761\) | 15.2772 | + | 8.82031i | 0.553799 | + | 0.319736i | 0.750653 | − | 0.660697i | \(-0.229739\pi\) |
−0.196854 | + | 0.980433i | \(0.563072\pi\) | |||||||
\(762\) | 5.07045 | + | 2.92742i | 0.183683 | + | 0.106049i | ||||
\(763\) | −0.226918 | −0.00821499 | ||||||||
\(764\) | −2.38055 | + | 8.88432i | −0.0861252 | + | 0.321424i | ||||
\(765\) | −8.07778 | + | 8.98924i | −0.292053 | + | 0.325007i | ||||
\(766\) | 2.71472 | 0.0980868 | ||||||||
\(767\) | −7.01860 | + | 7.01860i | −0.253427 | + | 0.253427i | ||||
\(768\) | −0.349522 | + | 0.0936541i | −0.0126123 | + | 0.00337945i | ||||
\(769\) | 8.23413 | + | 8.23413i | 0.296930 | + | 0.296930i | 0.839810 | − | 0.542880i | \(-0.182666\pi\) |
−0.542880 | + | 0.839810i | \(0.682666\pi\) | |||||||
\(770\) | 0.266548 | + | 0.135479i | 0.00960573 | + | 0.00488234i | ||||
\(771\) | 7.65447 | − | 7.65447i | 0.275669 | − | 0.275669i | ||||
\(772\) | 12.7439 | + | 22.0730i | 0.458662 | + | 0.794426i | ||||
\(773\) | 47.6839 | + | 12.7769i | 1.71507 | + | 0.459551i | 0.976658 | − | 0.214800i | \(-0.0689098\pi\) |
0.738411 | + | 0.674351i | \(0.235576\pi\) | |||||||
\(774\) | 20.3546 | − | 11.7517i | 0.731629 | − | 0.422406i | ||||
\(775\) | −4.77985 | + | 30.5722i | −0.171697 | + | 1.09819i | ||||
\(776\) | 2.55804i | 0.0918282i | ||||||||
\(777\) | 0.0759029 | + | 0.0388531i | 0.00272300 | + | 0.00139385i | ||||
\(778\) | 8.49994 | − | 8.49994i | 0.304737 | − | 0.304737i | ||||
\(779\) | −50.8113 | + | 13.6149i | −1.82051 | + | 0.487803i | ||||
\(780\) | 0.912322 | − | 1.79494i | 0.0326664 | − | 0.0642693i | ||||
\(781\) | 36.9049 | − | 21.3070i | 1.32056 | − | 0.762426i | ||||
\(782\) | −1.47771 | + | 0.853154i | −0.0528427 | + | 0.0305087i | ||||
\(783\) | 19.3781 | 0.692516 | ||||||||
\(784\) | −6.06088 | + | 3.49925i | −0.216460 | + | 0.124973i | ||||
\(785\) | −2.09360 | − | 3.21685i | −0.0747237 | − | 0.114814i | ||||
\(786\) | −1.52653 | + | 2.64402i | −0.0544494 | + | 0.0943090i | ||||
\(787\) | −15.0937 | − | 15.0937i | −0.538031 | − | 0.538031i | 0.384919 | − | 0.922950i | \(-0.374229\pi\) |
−0.922950 | + | 0.384919i | \(0.874229\pi\) | |||||||
\(788\) | −6.25755 | − | 6.25755i | −0.222916 | − | 0.222916i | ||||
\(789\) | −6.46269 | − | 3.73124i | −0.230078 | − | 0.132836i | ||||
\(790\) | −9.94944 | − | 5.05703i | −0.353985 | − | 0.179921i | ||||
\(791\) | 0.202446 | − | 0.202446i | 0.00719814 | − | 0.00719814i | ||||
\(792\) | −4.95154 | + | 8.57632i | −0.175945 | + | 0.304746i | ||||
\(793\) | 0.0155038 | + | 0.0578609i | 0.000550555 | + | 0.00205470i | ||||
\(794\) | 7.08066 | + | 26.4254i | 0.251283 | + | 0.937801i | ||||
\(795\) | −0.851895 | − | 2.61302i | −0.0302136 | − | 0.0926742i | ||||
\(796\) | −4.13387 | + | 15.4278i | −0.146521 | + | 0.546824i | ||||
\(797\) | 18.4258 | − | 31.9144i | 0.652675 | − | 1.13047i | −0.329796 | − | 0.944052i | \(-0.606980\pi\) |
0.982471 | − | 0.186414i | \(-0.0596867\pi\) | |||||||
\(798\) | 0.0737392 | − | 0.0197583i | 0.00261034 | − | 0.000699438i | ||||
\(799\) | −3.66249 | − | 13.6686i | −0.129569 | − | 0.483560i | ||||
\(800\) | −4.57176 | − | 2.02459i | −0.161636 | − | 0.0715802i | ||||
\(801\) | 7.14028 | + | 1.91323i | 0.252289 | + | 0.0676007i | ||||
\(802\) | −2.74138 | − | 10.2310i | −0.0968014 | − | 0.361268i | ||||
\(803\) | 22.8135 | − | 22.8135i | 0.805070 | − | 0.805070i | ||||
\(804\) | 5.56540 | 0.196276 | ||||||||
\(805\) | −0.0783516 | + | 0.00418437i | −0.00276153 | + | 0.000147480i | ||||
\(806\) | −10.8898 | + | 10.8898i | −0.383577 | + | 0.383577i | ||||
\(807\) | −3.18506 | − | 0.853434i | −0.112119 | − | 0.0300423i | ||||
\(808\) | − | 16.0383i | − | 0.564226i | ||||||
\(809\) | 2.06610 | − | 7.71081i | 0.0726404 | − | 0.271098i | −0.920048 | − | 0.391807i | \(-0.871850\pi\) |
0.992688 | + | 0.120709i | \(0.0385169\pi\) | |||||||
\(810\) | −5.43299 | − | 16.6646i | −0.190896 | − | 0.585535i | ||||
\(811\) | 0.0222507 | + | 0.0385394i | 0.000781329 | + | 0.00135330i | 0.866416 | − | 0.499323i | \(-0.166418\pi\) |
−0.865634 | + | 0.500676i | \(0.833085\pi\) | |||||||
\(812\) | −0.306127 | − | 0.176743i | −0.0107430 | − | 0.00620245i | ||||
\(813\) | −3.36466 | − | 3.36466i | −0.118004 | − | 0.118004i | ||||
\(814\) | 18.6895 | + | 9.56676i | 0.655067 | + | 0.335315i | ||||
\(815\) | −2.85987 | + | 13.5207i | −0.100177 | + | 0.473610i | ||||
\(816\) | −0.176426 | − | 0.658431i | −0.00617615 | − | 0.0230497i | ||||
\(817\) | −43.0922 | − | 11.5465i | −1.50760 | − | 0.403961i | ||||
\(818\) | −6.77759 | + | 25.2943i | −0.236973 | + | 0.884394i | ||||
\(819\) | −0.267164 | − | 0.0715864i | −0.00933547 | − | 0.00250143i | ||||
\(820\) | −4.46972 | + | 21.1317i | −0.156089 | + | 0.737950i | ||||
\(821\) | 15.5509 | + | 26.9349i | 0.542729 | + | 0.940034i | 0.998746 | + | 0.0500628i | \(0.0159421\pi\) |
−0.456017 | + | 0.889971i | \(0.650725\pi\) | |||||||
\(822\) | 2.82728i | 0.0986127i | ||||||||
\(823\) | 12.4166 | + | 46.3393i | 0.432815 | + | 1.61529i | 0.746242 | + | 0.665674i | \(0.231856\pi\) |
−0.313428 | + | 0.949612i | \(0.601477\pi\) | |||||||
\(824\) | 4.28679i | 0.149337i | ||||||||
\(825\) | 5.82573 | − | 2.24959i | 0.202826 | − | 0.0783207i | ||||
\(826\) | −0.0772612 | + | 0.133820i | −0.00268826 | + | 0.00465620i | ||||
\(827\) | 38.0406 | − | 21.9628i | 1.32280 | − | 0.763720i | 0.338627 | − | 0.940921i | \(-0.390037\pi\) |
0.984175 | + | 0.177201i | \(0.0567042\pi\) | |||||||
\(828\) | − | 2.59873i | − | 0.0903122i | ||||||
\(829\) | −27.6032 | + | 7.39626i | −0.958700 | + | 0.256883i | −0.704050 | − | 0.710151i | \(-0.748627\pi\) |
−0.254650 | + | 0.967033i | \(0.581960\pi\) | |||||||
\(830\) | 1.67461 | + | 31.3567i | 0.0581264 | + | 1.08841i | ||||
\(831\) | −5.80216 | + | 1.55468i | −0.201275 | + | 0.0539314i | ||||
\(832\) | −1.24424 | − | 2.15509i | −0.0431363 | − | 0.0747142i | ||||
\(833\) | −6.59191 | − | 11.4175i | −0.228396 | − | 0.395593i | ||||
\(834\) | 3.21785 | − | 0.862220i | 0.111425 | − | 0.0298562i | ||||
\(835\) | 26.7495 | + | 24.0372i | 0.925705 | + | 0.831843i | ||||
\(836\) | 18.1567 | − | 4.86508i | 0.627964 | − | 0.168262i | ||||
\(837\) | − | 13.1432i | − | 0.454295i | ||||||
\(838\) | 6.62659 | − | 3.82586i | 0.228912 | − | 0.132162i | ||||
\(839\) | 10.9130 | − | 18.9019i | 0.376759 | − | 0.652566i | −0.613830 | − | 0.789439i | \(-0.710372\pi\) |
0.990589 | + | 0.136873i | \(0.0437052\pi\) | |||||||
\(840\) | 0.00648661 | − | 0.0306670i | 0.000223809 | − | 0.00105811i | ||||
\(841\) | 54.2573i | 1.87094i | ||||||||
\(842\) | −0.505532 | − | 1.88667i | −0.0174218 | − | 0.0650189i | ||||
\(843\) | 10.6820i | 0.367908i | ||||||||
\(844\) | −2.80497 | − | 4.85835i | −0.0965511 | − | 0.167231i | ||||
\(845\) | −14.8925 | − | 3.15001i | −0.512316 | − | 0.108364i | ||||
\(846\) | 20.8175 | + | 5.57802i | 0.715719 | + | 0.191776i | ||||
\(847\) | −0.00916518 | + | 0.0342049i | −0.000314919 | + | 0.00117530i | ||||
\(848\) | −3.28099 | − | 0.879138i | −0.112670 | − | 0.0301897i | ||||
\(849\) | 1.39850 | + | 5.21929i | 0.0479966 | + | 0.179126i | ||||
\(850\) | 3.81394 | − | 8.61231i | 0.130817 | − | 0.295400i | ||||
\(851\) | −5.50261 | + | 0.278083i | −0.188627 | + | 0.00953255i | ||||
\(852\) | −3.15892 | − | 3.15892i | −0.108223 | − | 0.108223i | ||||
\(853\) | 15.4731 | + | 8.93342i | 0.529790 | + | 0.305874i | 0.740931 | − | 0.671581i | \(-0.234385\pi\) |
−0.211141 | + | 0.977456i | \(0.567718\pi\) | |||||||
\(854\) | 0.000466269 | 0 | 0.000807602i | 1.59554e−5 | 0 | 2.76356e-5i | ||||
\(855\) | −15.8302 | + | 31.1451i | −0.541382 | + | 1.06514i | ||||
\(856\) | −1.23738 | + | 4.61796i | −0.0422927 | + | 0.157838i | ||||
\(857\) | − | 52.3061i | − | 1.78674i | −0.449318 | − | 0.893372i | \(-0.648333\pi\) | ||
0.449318 | − | 0.893372i | \(-0.351667\pi\) | |||||||
\(858\) | 3.00220 | + | 0.804436i | 0.102493 | + | 0.0274630i | ||||
\(859\) | −8.66774 | + | 8.66774i | −0.295739 | + | 0.295739i | −0.839342 | − | 0.543603i | \(-0.817060\pi\) |
0.543603 | + | 0.839342i | \(0.317060\pi\) | |||||||
\(860\) | −12.2435 | + | 13.6250i | −0.417501 | + | 0.464610i | ||||
\(861\) | −0.135408 | −0.00461468 | ||||||||
\(862\) | −27.4193 | + | 27.4193i | −0.933904 | + | 0.933904i | ||||
\(863\) | −8.63098 | − | 32.2113i | −0.293802 | − | 1.09648i | −0.942164 | − | 0.335152i | \(-0.891212\pi\) |
0.648362 | − | 0.761332i | \(-0.275454\pi\) | |||||||
\(864\) | 2.05137 | + | 0.549662i | 0.0697889 | + | 0.0186999i | ||||
\(865\) | 5.39400 | + | 8.28797i | 0.183401 | + | 0.281799i | ||||
\(866\) | 1.36187 | + | 5.08256i | 0.0462782 | + | 0.172712i | ||||
\(867\) | −4.70152 | + | 1.25977i | −0.159672 | + | 0.0427840i | ||||
\(868\) | −0.119876 | + | 0.207631i | −0.00406884 | + | 0.00704744i | ||||
\(869\) | 4.45902 | − | 16.6413i | 0.151262 | − | 0.564517i | ||||
\(870\) | −7.01928 | + | 2.28842i | −0.237976 | + | 0.0775848i | ||||
\(871\) | 9.90595 | + | 36.9695i | 0.335650 | + | 1.25266i | ||||
\(872\) | 1.51602 | + | 5.65787i | 0.0513390 | + | 0.191600i | ||||
\(873\) | 3.66959 | − | 6.35591i | 0.124197 | − | 0.215115i | ||||
\(874\) | −3.48795 | + | 3.48795i | −0.117982 | + | 0.117982i | ||||
\(875\) | 0.335788 | − | 0.273578i | 0.0113517 | − | 0.00924864i | ||||
\(876\) | −2.92912 | − | 1.69113i | −0.0989659 | − | 0.0571380i | ||||
\(877\) | −16.9359 | − | 16.9359i | −0.571884 | − | 0.571884i | 0.360771 | − | 0.932655i | \(-0.382514\pi\) |
−0.932655 | + | 0.360771i | \(0.882514\pi\) | |||||||
\(878\) | −11.7690 | − | 11.7690i | −0.397186 | − | 0.397186i | ||||
\(879\) | −0.148261 | + | 0.256796i | −0.00500072 | + | 0.00866150i | ||||
\(880\) | 1.59719 | − | 7.55112i | 0.0538413 | − | 0.254548i | ||||
\(881\) | −33.7092 | + | 19.4620i | −1.13569 | + | 0.655692i | −0.945360 | − | 0.326028i | \(-0.894290\pi\) |
−0.190331 | + | 0.981720i | \(0.560956\pi\) | |||||||
\(882\) | 20.0791 | 0.676100 | ||||||||
\(883\) | 31.0123 | − | 17.9049i | 1.04365 | − | 0.602549i | 0.122782 | − | 0.992434i | \(-0.460818\pi\) |
0.920864 | + | 0.389885i | \(0.127485\pi\) | |||||||
\(884\) | 4.05977 | − | 2.34391i | 0.136545 | − | 0.0788341i | ||||
\(885\) | 1.00036 | + | 3.06841i | 0.0336267 | + | 0.103143i | ||||
\(886\) | 13.9357 | − | 3.73407i | 0.468180 | − | 0.125448i | ||||
\(887\) | 21.3968 | − | 21.3968i | 0.718433 | − | 0.718433i | −0.249851 | − | 0.968284i | \(-0.580382\pi\) |
0.968284 | + | 0.249851i | \(0.0803817\pi\) | |||||||
\(888\) | 0.461643 | − | 2.15210i | 0.0154917 | − | 0.0722198i | ||||
\(889\) | 0.626823i | 0.0210230i | ||||||||
\(890\) | −5.75304 | + | 0.307242i | −0.192842 | + | 0.0102988i | ||||
\(891\) | 23.4318 | − | 13.5284i | 0.784995 | − | 0.453217i | ||||
\(892\) | −5.40891 | − | 1.44931i | −0.181104 | − | 0.0485266i | ||||
\(893\) | −20.4540 | − | 35.4273i | −0.684466 | − | 1.18553i | ||||
\(894\) | 3.93670 | − | 3.93670i | 0.131663 | − | 0.131663i | ||||
\(895\) | 6.54385 | − | 12.8747i | 0.218737 | − | 0.430352i | ||||
\(896\) | −0.0273933 | − | 0.0273933i | −0.000915147 | − | 0.000915147i | ||||
\(897\) | −0.787826 | + | 0.211097i | −0.0263047 | + | 0.00704833i | ||||
\(898\) | −21.1611 | + | 21.1611i | −0.706157 | + | 0.706157i | ||||
\(899\) | 56.4693 | 1.88336 | ||||||||
\(900\) | 8.45503 | + | 11.5888i | 0.281834 | + | 0.386294i | ||||
\(901\) | 1.65613 | − | 6.18074i | 0.0551735 | − | 0.205910i | ||||
\(902\) | −33.3414 | −1.11015 | ||||||||
\(903\) | −0.0994516 | − | 0.0574184i | −0.00330954 | − | 0.00191077i | ||||
\(904\) | −6.40021 | − | 3.69516i | −0.212868 | − | 0.122899i | ||||
\(905\) | 14.6108 | − | 16.2594i | 0.485678 | − | 0.540480i | ||||
\(906\) | 2.81449 | + | 0.754140i | 0.0935052 | + | 0.0250546i | ||||
\(907\) | −21.7517 | + | 12.5583i | −0.722252 | + | 0.416993i | −0.815581 | − | 0.578643i | \(-0.803583\pi\) |
0.0933288 | + | 0.995635i | \(0.470249\pi\) | |||||||
\(908\) | −6.73621 | − | 3.88915i | −0.223549 | − | 0.129066i | ||||
\(909\) | −23.0075 | + | 39.8501i | −0.763110 | + | 1.32175i | ||||
\(910\) | 0.215259 | − | 0.0114959i | 0.00713576 | − | 0.000381086i | ||||
\(911\) | −2.97654 | − | 2.97654i | −0.0986172 | − | 0.0986172i | 0.656077 | − | 0.754694i | \(-0.272215\pi\) |
−0.754694 | + | 0.656077i | \(0.772215\pi\) | |||||||
\(912\) | −0.985291 | − | 1.70657i | −0.0326262 | − | 0.0565103i | ||||
\(913\) | −46.8207 | + | 12.5456i | −1.54954 | + | 0.415197i | ||||
\(914\) | − | 21.6614i | − | 0.716497i | ||||||
\(915\) | 0.0190554 | + | 0.00403055i | 0.000629953 | + | 0.000133246i | ||||
\(916\) | −1.63172 | − | 0.942077i | −0.0539137 | − | 0.0311271i | ||||
\(917\) | −0.326861 | −0.0107939 | ||||||||
\(918\) | −1.03546 | + | 3.86438i | −0.0341751 | + | 0.127543i | ||||
\(919\) | −18.5055 | − | 18.5055i | −0.610439 | − | 0.610439i | 0.332622 | − | 0.943060i | \(-0.392067\pi\) |
−0.943060 | + | 0.332622i | \(0.892067\pi\) | |||||||
\(920\) | 0.627792 | + | 1.92563i | 0.0206977 | + | 0.0634860i | ||||
\(921\) | 1.11377 | + | 1.92910i | 0.0366999 | + | 0.0635660i | ||||
\(922\) | 8.91947 | − | 33.2879i | 0.293747 | − | 1.09628i | ||||
\(923\) | 15.3613 | − | 26.6065i | 0.505622 | − | 0.875764i | ||||
\(924\) | 0.0483861 | 0.00159179 | ||||||||
\(925\) | 23.6336 | − | 19.1429i | 0.777069 | − | 0.629416i | ||||
\(926\) | 41.9669 | 1.37912 | ||||||||
\(927\) | 6.14954 | − | 10.6513i | 0.201977 | − | 0.349835i | ||||
\(928\) | −2.36161 | + | 8.81363i | −0.0775235 | + | 0.289322i | ||||
\(929\) | −17.0494 | − | 29.5304i | −0.559371 | − | 0.968859i | −0.997549 | − | 0.0699711i | \(-0.977709\pi\) |
0.438178 | − | 0.898888i | \(-0.355624\pi\) | |||||||
\(930\) | 1.55212 | + | 4.76083i | 0.0508961 | + | 0.156114i | ||||
\(931\) | −26.9497 | − | 26.9497i | −0.883240 | − | 0.883240i | ||||
\(932\) | 2.45414 | − | 9.15897i | 0.0803880 | − | 0.300012i | ||||
\(933\) | 6.39066 | 0.209221 | ||||||||
\(934\) | −29.4777 | − | 17.0190i | −0.964540 | − | 0.556877i | ||||
\(935\) | 14.2248 | + | 3.00880i | 0.465202 | + | 0.0983983i | ||||
\(936\) | 7.13961i | 0.233365i | ||||||||
\(937\) | 29.4060 | − | 7.87932i | 0.960653 | − | 0.257406i | 0.255776 | − | 0.966736i | \(-0.417669\pi\) |
0.704877 | + | 0.709330i | \(0.251002\pi\) | |||||||
\(938\) | 0.297917 | + | 0.516008i | 0.00972734 | + | 0.0168482i | ||||
\(939\) | 2.43380 | + | 2.43380i | 0.0794242 | + | 0.0794242i | ||||
\(940\) | −16.7730 | + | 0.895762i | −0.547074 | + | 0.0292165i | ||||
\(941\) | −1.40860 | + | 2.43977i | −0.0459190 | + | 0.0795341i | −0.888071 | − | 0.459706i | \(-0.847955\pi\) |
0.842152 | + | 0.539240i | \(0.181288\pi\) | |||||||
\(942\) | −0.537893 | − | 0.310553i | −0.0175255 | − | 0.0101184i | ||||
\(943\) | 7.57714 | − | 4.37466i | 0.246745 | − | 0.142459i | ||||
\(944\) | 3.85279 | + | 1.03235i | 0.125398 | + | 0.0336002i | ||||
\(945\) | −0.122963 | + | 0.136838i | −0.00399999 | + | 0.00445134i | ||||
\(946\) | −24.4879 | − | 14.1381i | −0.796171 | − | 0.459669i | ||||
\(947\) | −8.09376 | − | 4.67293i | −0.263012 | − | 0.151850i | 0.362696 | − | 0.931908i | \(-0.381856\pi\) |
−0.625708 | + | 0.780058i | \(0.715190\pi\) | |||||||
\(948\) | −1.80611 | −0.0586596 | ||||||||
\(949\) | 6.02014 | − | 22.4675i | 0.195422 | − | 0.729325i | ||||
\(950\) | 4.20607 | − | 26.9023i | 0.136463 | − | 0.872826i | ||||
\(951\) | 11.1552 | 0.361731 | ||||||||
\(952\) | 0.0516037 | − | 0.0516037i | 0.00167249 | − | 0.00167249i | ||||
\(953\) | 17.3818 | − | 4.65744i | 0.563052 | − | 0.150869i | 0.0339440 | − | 0.999424i | \(-0.489193\pi\) |
0.529108 | + | 0.848554i | \(0.322527\pi\) | |||||||
\(954\) | 6.89106 | + | 6.89106i | 0.223106 | + | 0.223106i | ||||
\(955\) | −9.31888 | + | 18.3344i | −0.301552 | + | 0.593287i | ||||
\(956\) | −4.37092 | + | 4.37092i | −0.141366 | + | 0.141366i | ||||
\(957\) | −5.69826 | − | 9.86968i | −0.184199 | − | 0.319041i | ||||
\(958\) | −5.37111 | − | 1.43918i | −0.173533 | − | 0.0464979i | ||||
\(959\) | −0.262137 | + | 0.151345i | −0.00846485 | + | 0.00488719i | ||||
\(960\) | −0.807974 | + | 0.0431499i | −0.0260772 | + | 0.00139266i | ||||
\(961\) | − | 7.30027i | − | 0.235493i | ||||||
\(962\) | 15.1175 | − | 0.763988i | 0.487409 | − | 0.0246320i | ||||
\(963\) | 9.69909 | − | 9.69909i | 0.312549 | − | 0.312549i | ||||
\(964\) | −8.59737 | + | 2.30366i | −0.276903 | + | 0.0741958i | ||||
\(965\) | 17.6655 | + | 54.1854i | 0.568672 | + | 1.74429i | ||||
\(966\) | −0.0109962 | + | 0.00634866i | −0.000353797 | + | 0.000204265i | ||||
\(967\) | −36.4193 | + | 21.0267i | −1.17117 | + | 0.676173i | −0.953955 | − | 0.299951i | \(-0.903030\pi\) |
−0.217212 | + | 0.976125i | \(0.569696\pi\) | |||||||
\(968\) | 0.914082 | 0.0293797 | ||||||||
\(969\) | 3.21485 | − | 1.85610i | 0.103276 | − | 0.0596264i | ||||
\(970\) | −1.18368 | + | 5.59613i | −0.0380056 | + | 0.179681i | ||||
\(971\) | 9.41767 | − | 16.3119i | 0.302227 | − | 0.523473i | −0.674413 | − | 0.738355i | \(-0.735603\pi\) |
0.976640 | + | 0.214881i | \(0.0689365\pi\) | |||||||
\(972\) | −6.51079 | − | 6.51079i | −0.208834 | − | 0.208834i | ||||
\(973\) | 0.252195 | + | 0.252195i | 0.00808500 | + | 0.00808500i | ||||
\(974\) | 19.7773 | + | 11.4184i | 0.633705 | + | 0.365870i | ||||
\(975\) | 2.82643 | − | 3.50458i | 0.0905181 | − | 0.112236i | ||||
\(976\) | 0.0170213 | − | 0.0170213i | 0.000544838 | − | 0.000544838i | ||||
\(977\) | 1.42052 | − | 2.46041i | 0.0454464 | − | 0.0787154i | −0.842407 | − | 0.538841i | \(-0.818862\pi\) |
0.887854 | + | 0.460126i | \(0.152196\pi\) | |||||||
\(978\) | 0.578823 | + | 2.16020i | 0.0185087 | + | 0.0690755i | ||||
\(979\) | −2.30175 | − | 8.59024i | −0.0735642 | − | 0.274545i | ||||
\(980\) | −14.8784 | + | 4.85064i | −0.475272 | + | 0.154948i | ||||
\(981\) | 4.34956 | − | 16.2328i | 0.138871 | − | 0.518273i | ||||
\(982\) | −15.4623 | + | 26.7815i | −0.493422 | + | 0.854632i | ||||
\(983\) | −10.4139 | + | 2.79039i | −0.332152 | + | 0.0889997i | −0.421041 | − | 0.907042i | \(-0.638335\pi\) |
0.0888891 | + | 0.996042i | \(0.471668\pi\) | |||||||
\(984\) | 0.904649 | + | 3.37619i | 0.0288391 | + | 0.107629i | ||||
\(985\) | −10.7939 | − | 16.5850i | −0.343922 | − | 0.528442i | ||||
\(986\) | −16.6032 | − | 4.44881i | −0.528753 | − | 0.141679i | ||||
\(987\) | −0.0272540 | − | 0.101713i | −0.000867505 | − | 0.00323757i | ||||
\(988\) | 9.58259 | − | 9.58259i | 0.304863 | − | 0.304863i | ||||
\(989\) | 7.42014 | 0.235947 | ||||||||
\(990\) | −14.8008 | + | 16.4709i | −0.470401 | + | 0.523480i | ||||
\(991\) | 27.4825 | − | 27.4825i | 0.873009 | − | 0.873009i | −0.119790 | − | 0.992799i | \(-0.538222\pi\) |
0.992799 | + | 0.119790i | \(0.0382222\pi\) | |||||||
\(992\) | 5.97785 | + | 1.60176i | 0.189797 | + | 0.0508559i | ||||
\(993\) | − | 11.4605i | − | 0.363689i | ||||||
\(994\) | 0.123788 | − | 0.461984i | 0.00392632 | − | 0.0146532i | ||||
\(995\) | −16.1824 | + | 31.8380i | −0.513017 | + | 1.00933i | ||||
\(996\) | 2.54076 | + | 4.40073i | 0.0805072 | + | 0.139443i | ||||
\(997\) | 17.0304 | + | 9.83252i | 0.539359 | + | 0.311399i | 0.744819 | − | 0.667267i | \(-0.232536\pi\) |
−0.205460 | + | 0.978665i | \(0.565869\pi\) | |||||||
\(998\) | 21.2699 | + | 21.2699i | 0.673287 | + | 0.673287i | ||||
\(999\) | −8.66183 | + | 9.58391i | −0.274048 | + | 0.303221i |
(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 | 370.2.q.f.97.6 | ✓ | 32 | |
5.3 | odd | 4 | 370.2.r.f.23.6 | yes | 32 | ||
37.29 | odd | 12 | 370.2.r.f.177.6 | yes | 32 | ||
185.103 | even | 12 | inner | 370.2.q.f.103.6 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.q.f.97.6 | ✓ | 32 | 1.1 | even | 1 | trivial | |
370.2.q.f.103.6 | yes | 32 | 185.103 | even | 12 | inner | |
370.2.r.f.23.6 | yes | 32 | 5.3 | odd | 4 | ||
370.2.r.f.177.6 | yes | 32 | 37.29 | odd | 12 |