Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(95,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 20, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bc (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 107.1 | ||
Character | \(\chi\) | \(=\) | 462.107 |
Dual form | 462.2.bc.a.95.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | + | 0.994522i | 0.0739128 | + | 0.703233i | ||||
\(3\) | −1.64414 | − | 0.544800i | −0.949244 | − | 0.314541i | ||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | 1.25353 | + | 2.81547i | 0.560595 | + | 1.25912i | 0.942280 | + | 0.334825i | \(0.108677\pi\) |
−0.381685 | + | 0.924292i | \(0.624656\pi\) | |||||||
\(6\) | 0.369957 | − | 1.69208i | 0.151034 | − | 0.690788i | ||||
\(7\) | 1.28350 | − | 2.31358i | 0.485116 | − | 0.874450i | ||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 2.40638 | + | 1.79146i | 0.802128 | + | 0.597152i | ||||
\(10\) | −2.66902 | + | 1.54096i | −0.844018 | + | 0.487294i | ||||
\(11\) | 3.25565 | + | 0.633032i | 0.981616 | + | 0.190866i | ||||
\(12\) | 1.72148 | + | 0.191060i | 0.496949 | + | 0.0551541i | ||||
\(13\) | −1.85644 | − | 2.55517i | −0.514884 | − | 0.708676i | 0.469850 | − | 0.882746i | \(-0.344308\pi\) |
−0.984733 | + | 0.174070i | \(0.944308\pi\) | |||||||
\(14\) | 2.43506 | + | 1.03463i | 0.650798 | + | 0.276517i | ||||
\(15\) | −0.527105 | − | 5.31195i | −0.136098 | − | 1.37154i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | −0.684127 | + | 6.50903i | −0.165925 | + | 1.57867i | 0.522035 | + | 0.852924i | \(0.325173\pi\) |
−0.687960 | + | 0.725748i | \(0.741494\pi\) | |||||||
\(18\) | −1.53011 | + | 2.58046i | −0.360649 | + | 0.608220i | ||||
\(19\) | −0.878223 | + | 4.13171i | −0.201478 | + | 0.947880i | 0.754921 | + | 0.655816i | \(0.227675\pi\) |
−0.956399 | + | 0.292064i | \(0.905658\pi\) | |||||||
\(20\) | −1.81151 | − | 2.49332i | −0.405065 | − | 0.557524i | ||||
\(21\) | −3.37069 | + | 3.10459i | −0.735544 | + | 0.677477i | ||||
\(22\) | −0.289256 | + | 3.30399i | −0.0616695 | + | 0.704412i | ||||
\(23\) | 0.815547 | + | 0.470856i | 0.170053 | + | 0.0981803i | 0.582611 | − | 0.812751i | \(-0.302031\pi\) |
−0.412558 | + | 0.910931i | \(0.635364\pi\) | |||||||
\(24\) | −0.0100692 | + | 1.73202i | −0.00205536 | + | 0.353547i | ||||
\(25\) | −3.00989 | + | 3.34282i | −0.601978 | + | 0.668564i | ||||
\(26\) | 2.34712 | − | 2.11336i | 0.460308 | − | 0.414463i | ||||
\(27\) | −2.98045 | − | 4.25640i | −0.573587 | − | 0.819145i | ||||
\(28\) | −0.774430 | + | 2.52987i | −0.146354 | + | 0.478101i | ||||
\(29\) | −2.13594 | + | 6.57373i | −0.396633 | + | 1.22071i | 0.531049 | + | 0.847341i | \(0.321798\pi\) |
−0.927682 | + | 0.373370i | \(0.878202\pi\) | |||||||
\(30\) | 5.22775 | − | 1.07947i | 0.954452 | − | 0.197083i | ||||
\(31\) | 6.76396 | + | 3.01151i | 1.21484 | + | 0.540883i | 0.911224 | − | 0.411911i | \(-0.135139\pi\) |
0.303618 | + | 0.952794i | \(0.401805\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −5.00787 | − | 2.81447i | −0.871758 | − | 0.489937i | ||||
\(34\) | −6.54489 | −1.12244 | ||||||||
\(35\) | 8.12271 | + | 0.713516i | 1.37299 | + | 0.120606i | ||||
\(36\) | −2.72626 | − | 1.25199i | −0.454377 | − | 0.208665i | ||||
\(37\) | −0.820875 | − | 0.911674i | −0.134951 | − | 0.149878i | 0.671881 | − | 0.740659i | \(-0.265487\pi\) |
−0.806832 | + | 0.590781i | \(0.798820\pi\) | |||||||
\(38\) | −4.20088 | − | 0.441530i | −0.681473 | − | 0.0716257i | ||||
\(39\) | 1.66019 | + | 5.21244i | 0.265843 | + | 0.834659i | ||||
\(40\) | 2.29031 | − | 2.06220i | 0.362130 | − | 0.326063i | ||||
\(41\) | 0.788646 | + | 2.42720i | 0.123166 | + | 0.379065i | 0.993562 | − | 0.113286i | \(-0.0361376\pi\) |
−0.870397 | + | 0.492351i | \(0.836138\pi\) | |||||||
\(42\) | −3.43992 | − | 3.02770i | −0.530791 | − | 0.467185i | ||||
\(43\) | − | 1.24741i | − | 0.190228i | −0.995466 | − | 0.0951139i | \(-0.969678\pi\) | ||
0.995466 | − | 0.0951139i | \(-0.0303215\pi\) | |||||||
\(44\) | −3.31612 | + | 0.0576896i | −0.499924 | + | 0.00869703i | ||||
\(45\) | −2.02732 | + | 9.02075i | −0.302215 | + | 1.34473i | ||||
\(46\) | −0.383029 | + | 0.860297i | −0.0564745 | + | 0.126844i | ||||
\(47\) | −2.14061 | + | 10.0708i | −0.312240 | + | 1.46898i | 0.489868 | + | 0.871797i | \(0.337045\pi\) |
−0.802108 | + | 0.597179i | \(0.796288\pi\) | |||||||
\(48\) | −1.72359 | + | 0.171032i | −0.248778 | + | 0.0246863i | ||||
\(49\) | −3.70527 | − | 5.93894i | −0.529324 | − | 0.848420i | ||||
\(50\) | −3.63913 | − | 2.64398i | −0.514651 | − | 0.373916i | ||||
\(51\) | 4.67092 | − | 10.3290i | 0.654060 | − | 1.44636i | ||||
\(52\) | 2.34712 | + | 2.11336i | 0.325487 | + | 0.293070i | ||||
\(53\) | 2.44967 | − | 5.50204i | 0.336487 | − | 0.755763i | −0.663484 | − | 0.748191i | \(-0.730923\pi\) |
0.999971 | − | 0.00757264i | \(-0.00241047\pi\) | |||||||
\(54\) | 3.92154 | − | 3.40903i | 0.533654 | − | 0.463911i | ||||
\(55\) | 2.29877 | + | 9.95972i | 0.309966 | + | 1.34297i | ||||
\(56\) | −2.59696 | − | 0.505744i | −0.347034 | − | 0.0675829i | ||||
\(57\) | 3.69488 | − | 6.31466i | 0.489399 | − | 0.836397i | ||||
\(58\) | −6.76099 | − | 1.43709i | −0.887761 | − | 0.188699i | ||||
\(59\) | −2.34885 | − | 11.0505i | −0.305795 | − | 1.43865i | −0.815727 | − | 0.578437i | \(-0.803663\pi\) |
0.509932 | − | 0.860215i | \(-0.329670\pi\) | |||||||
\(60\) | 1.62000 | + | 5.08628i | 0.209141 | + | 0.656636i | ||||
\(61\) | 3.62706 | + | 8.14652i | 0.464398 | + | 1.04306i | 0.982249 | + | 0.187584i | \(0.0600657\pi\) |
−0.517851 | + | 0.855471i | \(0.673268\pi\) | |||||||
\(62\) | −2.28798 | + | 7.04169i | −0.290574 | + | 0.894295i | ||||
\(63\) | 7.23326 | − | 3.26803i | 0.911305 | − | 0.411733i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 4.86691 | − | 8.42973i | 0.603665 | − | 1.04558i | ||||
\(66\) | 2.27559 | − | 5.27463i | 0.280106 | − | 0.649262i | ||||
\(67\) | −3.14450 | − | 5.44644i | −0.384162 | − | 0.665388i | 0.607491 | − | 0.794327i | \(-0.292176\pi\) |
−0.991653 | + | 0.128939i | \(0.958843\pi\) | |||||||
\(68\) | −0.684127 | − | 6.50903i | −0.0829626 | − | 0.789336i | ||||
\(69\) | −1.08435 | − | 1.21846i | −0.130540 | − | 0.146686i | ||||
\(70\) | 0.139447 | + | 8.15279i | 0.0166671 | + | 0.974445i | ||||
\(71\) | 6.06001 | − | 8.34089i | 0.719191 | − | 0.989881i | −0.280359 | − | 0.959895i | \(-0.590454\pi\) |
0.999550 | − | 0.0299863i | \(-0.00954636\pi\) | |||||||
\(72\) | 0.960161 | − | 2.84220i | 0.113156 | − | 0.334956i | ||||
\(73\) | −0.0996603 | − | 0.468865i | −0.0116644 | − | 0.0548765i | 0.971931 | − | 0.235268i | \(-0.0755968\pi\) |
−0.983595 | + | 0.180392i | \(0.942263\pi\) | |||||||
\(74\) | 0.820875 | − | 0.911674i | 0.0954248 | − | 0.105980i | ||||
\(75\) | 6.76985 | − | 3.85627i | 0.781715 | − | 0.445284i | ||||
\(76\) | − | 4.22402i | − | 0.484528i | ||||||
\(77\) | 5.64319 | − | 6.71970i | 0.643101 | − | 0.765781i | ||||
\(78\) | −5.01035 | + | 2.19594i | −0.567311 | + | 0.248641i | ||||
\(79\) | 16.5959 | − | 1.74430i | 1.86719 | − | 0.196249i | 0.897569 | − | 0.440874i | \(-0.145331\pi\) |
0.969618 | + | 0.244624i | \(0.0786647\pi\) | |||||||
\(80\) | 2.29031 | + | 2.06220i | 0.256065 | + | 0.230562i | ||||
\(81\) | 2.58138 | + | 8.62186i | 0.286820 | + | 0.957985i | ||||
\(82\) | −2.33147 | + | 1.03804i | −0.257468 | + | 0.114632i | ||||
\(83\) | −9.93212 | − | 7.21611i | −1.09019 | − | 0.792071i | −0.110760 | − | 0.993847i | \(-0.535329\pi\) |
−0.979432 | + | 0.201777i | \(0.935329\pi\) | |||||||
\(84\) | 2.65155 | − | 3.73755i | 0.289307 | − | 0.407800i | ||||
\(85\) | −19.1836 | + | 6.23312i | −2.08075 | + | 0.676077i | ||||
\(86\) | 1.24057 | − | 0.130390i | 0.133775 | − | 0.0140603i | ||||
\(87\) | 7.09315 | − | 9.64447i | 0.760465 | − | 1.03400i | ||||
\(88\) | −0.404003 | − | 3.29193i | −0.0430668 | − | 0.350921i | ||||
\(89\) | −5.63638 | − | 3.25417i | −0.597455 | − | 0.344941i | 0.170585 | − | 0.985343i | \(-0.445434\pi\) |
−0.768040 | + | 0.640402i | \(0.778768\pi\) | |||||||
\(90\) | −9.18324 | − | 1.07329i | −0.967999 | − | 0.113134i | ||||
\(91\) | −8.29431 | + | 1.01546i | −0.869480 | + | 0.106449i | ||||
\(92\) | −0.895621 | − | 0.291005i | −0.0933750 | − | 0.0303394i | ||||
\(93\) | −9.48021 | − | 8.63634i | −0.983052 | − | 0.895547i | ||||
\(94\) | −10.2394 | − | 1.07620i | −1.05611 | − | 0.111002i | ||||
\(95\) | −12.7336 | + | 2.70661i | −1.30644 | + | 0.277692i | ||||
\(96\) | −0.350258 | − | 1.69627i | −0.0357481 | − | 0.173124i | ||||
\(97\) | 7.13209 | − | 5.18176i | 0.724154 | − | 0.526128i | −0.163555 | − | 0.986534i | \(-0.552296\pi\) |
0.887709 | + | 0.460406i | \(0.152296\pi\) | |||||||
\(98\) | 5.51910 | − | 4.30576i | 0.557513 | − | 0.434947i | ||||
\(99\) | 6.70030 | + | 7.35567i | 0.673406 | + | 0.739273i | ||||
\(100\) | 2.24911 | − | 3.89557i | 0.224911 | − | 0.389557i | ||||
\(101\) | −9.79140 | − | 4.35941i | −0.974281 | − | 0.433778i | −0.143056 | − | 0.989715i | \(-0.545693\pi\) |
−0.831225 | + | 0.555937i | \(0.812360\pi\) | |||||||
\(102\) | 10.7607 | + | 3.56566i | 1.06547 | + | 0.353053i | ||||
\(103\) | 0.440469 | + | 0.489190i | 0.0434007 | + | 0.0482014i | 0.764454 | − | 0.644678i | \(-0.223009\pi\) |
−0.721054 | + | 0.692879i | \(0.756342\pi\) | |||||||
\(104\) | −1.85644 | + | 2.55517i | −0.182039 | + | 0.250555i | ||||
\(105\) | −12.9661 | − | 5.59837i | −1.26537 | − | 0.546345i | ||||
\(106\) | 5.72796 | + | 1.86113i | 0.556349 | + | 0.180769i | ||||
\(107\) | 6.46092 | + | 1.37331i | 0.624600 | + | 0.132763i | 0.509330 | − | 0.860571i | \(-0.329893\pi\) |
0.115270 | + | 0.993334i | \(0.463227\pi\) | |||||||
\(108\) | 3.80027 | + | 3.54372i | 0.365681 | + | 0.340994i | ||||
\(109\) | −7.42308 | + | 4.28572i | −0.711003 | + | 0.410498i | −0.811432 | − | 0.584447i | \(-0.801312\pi\) |
0.100430 | + | 0.994944i | \(0.467978\pi\) | |||||||
\(110\) | −9.66487 | + | 3.32725i | −0.921509 | + | 0.317241i | ||||
\(111\) | 0.852952 | + | 1.94613i | 0.0809586 | + | 0.184719i | ||||
\(112\) | 0.231517 | − | 2.63560i | 0.0218763 | − | 0.249041i | ||||
\(113\) | 6.35140 | − | 2.06370i | 0.597490 | − | 0.194136i | 0.00536916 | − | 0.999986i | \(-0.498291\pi\) |
0.592121 | + | 0.805849i | \(0.298291\pi\) | |||||||
\(114\) | 6.66628 | + | 3.01458i | 0.624355 | + | 0.282341i | ||||
\(115\) | −0.303371 | + | 2.88638i | −0.0282895 | + | 0.269156i | ||||
\(116\) | 0.722504 | − | 6.87417i | 0.0670828 | − | 0.638250i | ||||
\(117\) | 0.110164 | − | 9.47445i | 0.0101846 | − | 0.875913i | ||||
\(118\) | 10.7444 | − | 3.49108i | 0.989105 | − | 0.321380i | ||||
\(119\) | 14.1811 | + | 9.93711i | 1.29998 | + | 0.910933i | ||||
\(120\) | −4.88908 | + | 2.14279i | −0.446310 | + | 0.195609i | ||||
\(121\) | 10.1985 | + | 4.12186i | 0.927140 | + | 0.374715i | ||||
\(122\) | −7.72276 | + | 4.45874i | −0.699186 | + | 0.403675i | ||||
\(123\) | 0.0256976 | − | 4.42031i | 0.00231708 | − | 0.398566i | ||||
\(124\) | −7.24227 | − | 1.53939i | −0.650375 | − | 0.138242i | ||||
\(125\) | 1.47078 | + | 0.477886i | 0.131551 | + | 0.0427434i | ||||
\(126\) | 4.00621 | + | 6.85203i | 0.356901 | + | 0.610427i | ||||
\(127\) | −1.28837 | + | 1.77329i | −0.114324 | + | 0.157354i | −0.862344 | − | 0.506322i | \(-0.831005\pi\) |
0.748020 | + | 0.663676i | \(0.231005\pi\) | |||||||
\(128\) | −0.669131 | − | 0.743145i | −0.0591433 | − | 0.0656853i | ||||
\(129\) | −0.679588 | + | 2.05091i | −0.0598344 | + | 0.180573i | ||||
\(130\) | 8.89228 | + | 3.95910i | 0.779905 | + | 0.347236i | ||||
\(131\) | −5.63954 | + | 9.76796i | −0.492729 | + | 0.853431i | −0.999965 | − | 0.00837614i | \(-0.997334\pi\) |
0.507236 | + | 0.861807i | \(0.330667\pi\) | |||||||
\(132\) | 5.48360 | + | 1.71178i | 0.477286 | + | 0.148991i | ||||
\(133\) | 8.43184 | + | 7.33488i | 0.731133 | + | 0.636015i | ||||
\(134\) | 5.08791 | − | 3.69658i | 0.439529 | − | 0.319336i | ||||
\(135\) | 8.24770 | − | 13.7269i | 0.709849 | − | 1.18142i | ||||
\(136\) | 6.40187 | − | 1.36076i | 0.548955 | − | 0.116684i | ||||
\(137\) | 13.8537 | + | 1.45608i | 1.18360 | + | 0.124402i | 0.675808 | − | 0.737077i | \(-0.263795\pi\) |
0.507793 | + | 0.861479i | \(0.330461\pi\) | |||||||
\(138\) | 1.09844 | − | 1.20577i | 0.0935056 | − | 0.102642i | ||||
\(139\) | 15.1592 | + | 4.92553i | 1.28579 | + | 0.417778i | 0.870615 | − | 0.491965i | \(-0.163721\pi\) |
0.415172 | + | 0.909743i | \(0.363721\pi\) | |||||||
\(140\) | −8.09355 | + | 0.990882i | −0.684030 | + | 0.0837448i | ||||
\(141\) | 9.00603 | − | 15.3916i | 0.758445 | − | 1.29620i | ||||
\(142\) | 8.92864 | + | 5.15495i | 0.749275 | + | 0.432594i | ||||
\(143\) | −4.42642 | − | 9.49393i | −0.370156 | − | 0.793922i | ||||
\(144\) | 2.92699 | + | 0.657811i | 0.243916 | + | 0.0548176i | ||||
\(145\) | −21.1856 | + | 2.22670i | −1.75937 | + | 0.184917i | ||||
\(146\) | 0.455879 | − | 0.148124i | 0.0377288 | − | 0.0122588i | ||||
\(147\) | 2.85644 | + | 11.7831i | 0.235595 | + | 0.971851i | ||||
\(148\) | 0.992484 | + | 0.721082i | 0.0815817 | + | 0.0592726i | ||||
\(149\) | 8.47818 | − | 3.77473i | 0.694560 | − | 0.309238i | −0.0289218 | − | 0.999582i | \(-0.509207\pi\) |
0.723481 | + | 0.690344i | \(0.242541\pi\) | |||||||
\(150\) | 4.54279 | + | 6.32967i | 0.370917 | + | 0.516816i | ||||
\(151\) | −9.98655 | − | 8.99193i | −0.812694 | − | 0.731753i | 0.153894 | − | 0.988087i | \(-0.450818\pi\) |
−0.966588 | + | 0.256334i | \(0.917485\pi\) | |||||||
\(152\) | 4.20088 | − | 0.441530i | 0.340736 | − | 0.0358128i | ||||
\(153\) | −13.3069 | + | 14.4377i | −1.07580 | + | 1.16722i | ||||
\(154\) | 7.27277 | + | 4.90987i | 0.586056 | + | 0.395649i | ||||
\(155\) | 22.8187i | 1.83284i | ||||||||
\(156\) | −2.70763 | − | 4.75337i | −0.216784 | − | 0.380574i | ||||
\(157\) | 5.24970 | − | 5.83038i | 0.418971 | − | 0.465315i | −0.496301 | − | 0.868151i | \(-0.665309\pi\) |
0.915272 | + | 0.402836i | \(0.131975\pi\) | |||||||
\(158\) | 3.46949 | + | 16.3227i | 0.276018 | + | 1.29856i | ||||
\(159\) | −7.02510 | + | 7.71154i | −0.557127 | + | 0.611565i | ||||
\(160\) | −1.81151 | + | 2.49332i | −0.143212 | + | 0.197114i | ||||
\(161\) | 2.13611 | − | 1.28249i | 0.168349 | − | 0.101074i | ||||
\(162\) | −8.30480 | + | 3.46847i | −0.652487 | + | 0.272508i | ||||
\(163\) | −1.58467 | − | 15.0772i | −0.124121 | − | 1.18094i | −0.862324 | − | 0.506356i | \(-0.830992\pi\) |
0.738203 | − | 0.674579i | \(-0.235675\pi\) | |||||||
\(164\) | −1.27606 | − | 2.21019i | −0.0996432 | − | 0.172587i | ||||
\(165\) | 1.64656 | − | 17.6275i | 0.128185 | − | 1.37230i | ||||
\(166\) | 6.13839 | − | 10.6320i | 0.476431 | − | 0.825203i | ||||
\(167\) | −6.50759 | + | 4.72804i | −0.503572 | + | 0.365867i | −0.810380 | − | 0.585905i | \(-0.800739\pi\) |
0.306807 | + | 0.951772i | \(0.400739\pi\) | |||||||
\(168\) | 3.99424 | + | 2.24634i | 0.308162 | + | 0.173309i | ||||
\(169\) | 0.934697 | − | 2.87670i | 0.0718998 | − | 0.221285i | ||||
\(170\) | −8.20420 | − | 18.4269i | −0.629234 | − | 1.41328i | ||||
\(171\) | −9.51512 | + | 8.36920i | −0.727640 | + | 0.640009i | ||||
\(172\) | 0.259351 | + | 1.22015i | 0.0197753 | + | 0.0930355i | ||||
\(173\) | −13.5630 | − | 2.88292i | −1.03118 | − | 0.219184i | −0.338907 | − | 0.940820i | \(-0.610057\pi\) |
−0.692273 | + | 0.721636i | \(0.743390\pi\) | |||||||
\(174\) | 10.3331 | + | 6.04617i | 0.783348 | + | 0.458359i | ||||
\(175\) | 3.87069 | + | 11.2541i | 0.292596 | + | 0.850731i | ||||
\(176\) | 3.23166 | − | 0.745890i | 0.243596 | − | 0.0562235i | ||||
\(177\) | −2.15847 | + | 19.4482i | −0.162241 | + | 1.46182i | ||||
\(178\) | 2.64718 | − | 5.94566i | 0.198414 | − | 0.445646i | ||||
\(179\) | 0.0930807 | + | 0.0838102i | 0.00695718 | + | 0.00626427i | 0.672602 | − | 0.740005i | \(-0.265177\pi\) |
−0.665645 | + | 0.746269i | \(0.731843\pi\) | |||||||
\(180\) | 0.107497 | − | 9.24513i | 0.00801238 | − | 0.689091i | ||||
\(181\) | −9.06514 | − | 6.58621i | −0.673806 | − | 0.489549i | 0.197491 | − | 0.980305i | \(-0.436721\pi\) |
−0.871297 | + | 0.490756i | \(0.836721\pi\) | |||||||
\(182\) | −1.87689 | − | 8.14273i | −0.139124 | − | 0.603579i | ||||
\(183\) | −1.52517 | − | 15.3700i | −0.112744 | − | 1.13619i | ||||
\(184\) | 0.195793 | − | 0.921133i | 0.0144340 | − | 0.0679069i | ||||
\(185\) | 1.53780 | − | 3.45396i | 0.113061 | − | 0.253940i | ||||
\(186\) | 7.59808 | − | 10.3310i | 0.557118 | − | 0.757507i | ||||
\(187\) | −6.34771 | + | 20.7581i | −0.464190 | + | 1.51798i | ||||
\(188\) | − | 10.2958i | − | 0.750897i | ||||||
\(189\) | −13.6729 | + | 1.43241i | −0.994557 | + | 0.104192i | ||||
\(190\) | −4.02281 | − | 12.3809i | −0.291845 | − | 0.898207i | ||||
\(191\) | −11.9706 | + | 10.7784i | −0.866160 | + | 0.779894i | −0.976842 | − | 0.213962i | \(-0.931363\pi\) |
0.110682 | + | 0.993856i | \(0.464697\pi\) | |||||||
\(192\) | 1.65036 | − | 0.525648i | 0.119105 | − | 0.0379354i | ||||
\(193\) | 5.35261 | + | 0.562582i | 0.385289 | + | 0.0404955i | 0.295193 | − | 0.955438i | \(-0.404616\pi\) |
0.0900958 | + | 0.995933i | \(0.471283\pi\) | |||||||
\(194\) | 5.89888 | + | 6.55137i | 0.423515 | + | 0.470361i | ||||
\(195\) | −12.5944 | + | 11.2082i | −0.901903 | + | 0.802632i | ||||
\(196\) | 4.85907 | + | 5.03879i | 0.347077 | + | 0.359913i | ||||
\(197\) | −21.1572 | −1.50739 | −0.753694 | − | 0.657226i | \(-0.771730\pi\) | ||||
−0.753694 | + | 0.657226i | \(0.771730\pi\) | |||||||
\(198\) | −6.61501 | + | 7.43248i | −0.470108 | + | 0.528203i | ||||
\(199\) | −9.58513 | − | 16.6019i | −0.679472 | − | 1.17688i | −0.975140 | − | 0.221589i | \(-0.928876\pi\) |
0.295668 | − | 0.955291i | \(-0.404458\pi\) | |||||||
\(200\) | 4.10932 | + | 1.82959i | 0.290573 | + | 0.129371i | ||||
\(201\) | 2.20278 | + | 10.6678i | 0.155372 | + | 0.752450i | ||||
\(202\) | 3.31205 | − | 10.1934i | 0.233035 | − | 0.717209i | ||||
\(203\) | 12.4674 | + | 13.3790i | 0.875037 | + | 0.939023i | ||||
\(204\) | −2.42132 | + | 11.0745i | −0.169527 | + | 0.775368i | ||||
\(205\) | −5.84513 | + | 5.26298i | −0.408241 | + | 0.367582i | ||||
\(206\) | −0.440469 | + | 0.489190i | −0.0306889 | + | 0.0340835i | ||||
\(207\) | 1.11900 | + | 2.59408i | 0.0777760 | + | 0.180301i | ||||
\(208\) | −2.73522 | − | 1.57918i | −0.189654 | − | 0.109497i | ||||
\(209\) | −5.47470 | + | 12.8955i | −0.378693 | + | 0.891999i | ||||
\(210\) | 4.21237 | − | 13.4803i | 0.290681 | − | 0.930229i | ||||
\(211\) | −7.30474 | − | 10.0541i | −0.502879 | − | 0.692154i | 0.479819 | − | 0.877368i | \(-0.340702\pi\) |
−0.982698 | + | 0.185213i | \(0.940702\pi\) | |||||||
\(212\) | −1.25220 | + | 5.89112i | −0.0860012 | + | 0.404604i | ||||
\(213\) | −14.5076 | + | 10.4121i | −0.994046 | + | 0.713424i | ||||
\(214\) | −0.690437 | + | 6.56907i | −0.0471973 | + | 0.449053i | ||||
\(215\) | 3.51204 | − | 1.56366i | 0.239519 | − | 0.106641i | ||||
\(216\) | −3.12707 | + | 4.14987i | −0.212770 | + | 0.282363i | ||||
\(217\) | 15.6489 | − | 11.7837i | 1.06231 | − | 0.799927i | ||||
\(218\) | −5.03817 | − | 6.93444i | −0.341228 | − | 0.469660i | ||||
\(219\) | −0.0915824 | + | 0.825174i | −0.00618857 | + | 0.0557601i | ||||
\(220\) | −4.31928 | − | 9.26413i | −0.291206 | − | 0.624588i | ||||
\(221\) | 17.9017 | − | 10.3356i | 1.20420 | − | 0.695245i | ||||
\(222\) | −1.84631 | + | 1.05171i | −0.123916 | + | 0.0705859i | ||||
\(223\) | −4.44688 | − | 13.6861i | −0.297785 | − | 0.916489i | −0.982272 | − | 0.187463i | \(-0.939973\pi\) |
0.684486 | − | 0.729026i | \(-0.260027\pi\) | |||||||
\(224\) | 2.64536 | − | 0.0452468i | 0.176751 | − | 0.00302318i | ||||
\(225\) | −13.2315 | + | 2.65203i | −0.882098 | + | 0.176802i | ||||
\(226\) | 2.71629 | + | 6.10089i | 0.180685 | + | 0.405825i | ||||
\(227\) | 15.8516 | − | 3.36935i | 1.05210 | − | 0.223632i | 0.350768 | − | 0.936462i | \(-0.385921\pi\) |
0.701336 | + | 0.712831i | \(0.252587\pi\) | |||||||
\(228\) | −2.30125 | + | 6.94487i | −0.152404 | + | 0.459936i | ||||
\(229\) | 0.825233 | + | 7.85157i | 0.0545329 | + | 0.518846i | 0.987357 | + | 0.158514i | \(0.0506702\pi\) |
−0.932824 | + | 0.360333i | \(0.882663\pi\) | |||||||
\(230\) | −2.90228 | −0.191371 | ||||||||
\(231\) | −12.9391 | + | 7.97372i | −0.851329 | + | 0.524632i | ||||
\(232\) | 6.91203 | 0.453797 | ||||||||
\(233\) | −1.54271 | − | 14.6779i | −0.101067 | − | 0.961584i | −0.921115 | − | 0.389290i | \(-0.872720\pi\) |
0.820049 | − | 0.572294i | \(-0.193946\pi\) | |||||||
\(234\) | 9.43406 | − | 0.880789i | 0.616724 | − | 0.0575790i | ||||
\(235\) | −31.0373 | + | 6.59719i | −2.02465 | + | 0.430353i | ||||
\(236\) | 4.59505 | + | 10.3207i | 0.299112 | + | 0.671818i | ||||
\(237\) | −28.2363 | − | 6.17359i | −1.83414 | − | 0.401018i | ||||
\(238\) | −8.40035 | + | 15.1421i | −0.544514 | + | 0.981516i | ||||
\(239\) | −0.406865 | − | 1.25220i | −0.0263179 | − | 0.0809981i | 0.937035 | − | 0.349236i | \(-0.113559\pi\) |
−0.963353 | + | 0.268238i | \(0.913559\pi\) | |||||||
\(240\) | −2.64210 | − | 4.63831i | −0.170547 | − | 0.299402i | ||||
\(241\) | −14.9809 | + | 8.64925i | −0.965007 | + | 0.557147i | −0.897710 | − | 0.440586i | \(-0.854771\pi\) |
−0.0672967 | + | 0.997733i | \(0.521437\pi\) | |||||||
\(242\) | −3.03324 | + | 10.5735i | −0.194984 | + | 0.679692i | ||||
\(243\) | 0.453051 | − | 15.5819i | 0.0290632 | − | 0.999578i | ||||
\(244\) | −5.24156 | − | 7.21439i | −0.335557 | − | 0.461854i | ||||
\(245\) | 12.0762 | − | 17.8767i | 0.771523 | − | 1.14210i | ||||
\(246\) | 4.39878 | − | 0.436492i | 0.280456 | − | 0.0278297i | ||||
\(247\) | 12.1876 | − | 5.42627i | 0.775478 | − | 0.345265i | ||||
\(248\) | 0.773936 | − | 7.36351i | 0.0491450 | − | 0.467583i | ||||
\(249\) | 12.3984 | + | 17.2753i | 0.785719 | + | 1.09478i | ||||
\(250\) | −0.321529 | + | 1.51268i | −0.0203353 | + | 0.0956701i | ||||
\(251\) | −3.11981 | − | 4.29405i | −0.196921 | − | 0.271038i | 0.699126 | − | 0.714999i | \(-0.253573\pi\) |
−0.896046 | + | 0.443961i | \(0.853573\pi\) | |||||||
\(252\) | −6.39573 | + | 4.70049i | −0.402893 | + | 0.296103i | ||||
\(253\) | 2.35707 | + | 2.04921i | 0.148188 | + | 0.128833i | ||||
\(254\) | −1.89824 | − | 1.09595i | −0.119106 | − | 0.0687661i | ||||
\(255\) | 34.9363 | + | 0.203103i | 2.18779 | + | 0.0127188i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | 5.27859 | − | 4.75286i | 0.329269 | − | 0.296475i | −0.487869 | − | 0.872917i | \(-0.662226\pi\) |
0.817139 | + | 0.576441i | \(0.195559\pi\) | |||||||
\(258\) | −2.11071 | − | 0.461487i | −0.131407 | − | 0.0287309i | ||||
\(259\) | −3.16282 | + | 0.729026i | −0.196528 | + | 0.0452994i | ||||
\(260\) | −3.00791 | + | 9.25741i | −0.186543 | + | 0.574120i | ||||
\(261\) | −16.9164 | + | 11.9925i | −1.04710 | + | 0.742317i | ||||
\(262\) | −10.3039 | − | 4.58761i | −0.636580 | − | 0.283424i | ||||
\(263\) | −3.24743 | − | 5.62471i | −0.200245 | − | 0.346835i | 0.748362 | − | 0.663290i | \(-0.230841\pi\) |
−0.948607 | + | 0.316456i | \(0.897507\pi\) | |||||||
\(264\) | −1.12921 | + | 5.63249i | −0.0694979 | + | 0.346656i | ||||
\(265\) | 18.5616 | 1.14023 | ||||||||
\(266\) | −6.41333 | + | 9.15235i | −0.393227 | + | 0.561167i | ||||
\(267\) | 7.49412 | + | 8.42100i | 0.458633 | + | 0.515357i | ||||
\(268\) | 4.20816 | + | 4.67364i | 0.257055 | + | 0.285488i | ||||
\(269\) | 21.2008 | + | 2.22830i | 1.29264 | + | 0.135862i | 0.725764 | − | 0.687944i | \(-0.241486\pi\) |
0.566873 | + | 0.823805i | \(0.308153\pi\) | |||||||
\(270\) | 14.5138 | + | 6.76767i | 0.883282 | + | 0.411867i | ||||
\(271\) | 11.6244 | − | 10.4666i | 0.706132 | − | 0.635804i | −0.235725 | − | 0.971820i | \(-0.575746\pi\) |
0.941856 | + | 0.336016i | \(0.109080\pi\) | |||||||
\(272\) | 2.02248 | + | 6.22456i | 0.122631 | + | 0.377419i | ||||
\(273\) | 14.1902 | + | 2.84919i | 0.858832 | + | 0.172441i | ||||
\(274\) | 13.9300i | 0.841543i | ||||||||
\(275\) | −11.9153 | + | 8.97771i | −0.718518 | + | 0.541376i | ||||
\(276\) | 1.31399 | + | 0.966388i | 0.0790927 | + | 0.0581697i | ||||
\(277\) | 2.05477 | − | 4.61509i | 0.123459 | − | 0.277294i | −0.841233 | − | 0.540672i | \(-0.818170\pi\) |
0.964693 | + | 0.263378i | \(0.0848366\pi\) | |||||||
\(278\) | −3.31397 | + | 15.5910i | −0.198759 | + | 0.935087i | ||||
\(279\) | 10.8817 | + | 19.3642i | 0.651470 | + | 1.15930i | ||||
\(280\) | −1.83146 | − | 7.94564i | −0.109451 | − | 0.474843i | ||||
\(281\) | 6.05472 | + | 4.39901i | 0.361195 | + | 0.262423i | 0.753550 | − | 0.657390i | \(-0.228340\pi\) |
−0.392356 | + | 0.919814i | \(0.628340\pi\) | |||||||
\(282\) | 16.2486 | + | 7.34784i | 0.967592 | + | 0.437558i | ||||
\(283\) | 7.05404 | + | 6.35148i | 0.419319 | + | 0.377557i | 0.851609 | − | 0.524178i | \(-0.175627\pi\) |
−0.432290 | + | 0.901735i | \(0.642294\pi\) | |||||||
\(284\) | −4.19342 | + | 9.41857i | −0.248833 | + | 0.558889i | ||||
\(285\) | 22.4104 | + | 2.48723i | 1.32748 | + | 0.147331i | ||||
\(286\) | 8.97923 | − | 5.39455i | 0.530953 | − | 0.318987i | ||||
\(287\) | 6.62774 | + | 1.29072i | 0.391223 | + | 0.0761885i | ||||
\(288\) | −0.348253 | + | 2.97972i | −0.0205210 | + | 0.175582i | ||||
\(289\) | −25.2710 | − | 5.37151i | −1.48653 | − | 0.315971i | ||||
\(290\) | −4.42900 | − | 20.8368i | −0.260080 | − | 1.22358i | ||||
\(291\) | −14.5492 | + | 4.63398i | −0.852887 | + | 0.271648i | ||||
\(292\) | 0.194965 | + | 0.437899i | 0.0114095 | + | 0.0256261i | ||||
\(293\) | −7.22868 | + | 22.2476i | −0.422304 | + | 1.29972i | 0.483249 | + | 0.875483i | \(0.339457\pi\) |
−0.905552 | + | 0.424234i | \(0.860543\pi\) | |||||||
\(294\) | −11.4199 | + | 4.07246i | −0.666025 | + | 0.237511i | ||||
\(295\) | 28.1680 | − | 20.4652i | 1.64000 | − | 1.19153i | ||||
\(296\) | −0.613389 | + | 1.06242i | −0.0356525 | + | 0.0617520i | ||||
\(297\) | −7.00886 | − | 15.7441i | −0.406695 | − | 0.913564i | ||||
\(298\) | 4.64026 | + | 8.03717i | 0.268803 | + | 0.465581i | ||||
\(299\) | −0.310896 | − | 2.95798i | −0.0179796 | − | 0.171064i | ||||
\(300\) | −5.82015 | + | 5.17954i | −0.336026 | + | 0.299041i | ||||
\(301\) | −2.88597 | − | 1.60104i | −0.166345 | − | 0.0922826i | ||||
\(302\) | 7.89879 | − | 10.8718i | 0.454524 | − | 0.625599i | ||||
\(303\) | 13.7234 | + | 12.5018i | 0.788390 | + | 0.718212i | ||||
\(304\) | 0.878223 | + | 4.13171i | 0.0503695 | + | 0.236970i | ||||
\(305\) | −18.3897 | + | 20.4238i | −1.05299 | + | 1.16946i | ||||
\(306\) | −15.7495 | − | 11.7249i | −0.900340 | − | 0.670266i | ||||
\(307\) | − | 32.9371i | − | 1.87982i | −0.341425 | − | 0.939909i | \(-0.610910\pi\) | ||
0.341425 | − | 0.939909i | \(-0.389090\pi\) | |||||||
\(308\) | −4.12277 | + | 7.74615i | −0.234916 | + | 0.441378i | ||||
\(309\) | −0.457681 | − | 1.04426i | −0.0260366 | − | 0.0594061i | ||||
\(310\) | −22.6937 | + | 2.38521i | −1.28892 | + | 0.135471i | ||||
\(311\) | −22.4324 | − | 20.1982i | −1.27202 | − | 1.14534i | −0.982115 | − | 0.188281i | \(-0.939708\pi\) |
−0.289909 | − | 0.957054i | \(-0.593625\pi\) | |||||||
\(312\) | 4.44430 | − | 3.18966i | 0.251609 | − | 0.180579i | ||||
\(313\) | 6.72088 | − | 2.99233i | 0.379886 | − | 0.169136i | −0.207905 | − | 0.978149i | \(-0.566664\pi\) |
0.587791 | + | 0.809013i | \(0.299998\pi\) | |||||||
\(314\) | 6.34718 | + | 4.61150i | 0.358192 | + | 0.260242i | ||||
\(315\) | 18.2681 | + | 16.2685i | 1.02929 | + | 0.916624i | ||||
\(316\) | −15.8706 | + | 5.15667i | −0.892791 | + | 0.290085i | ||||
\(317\) | −5.07186 | + | 0.533074i | −0.284864 | + | 0.0299404i | −0.245883 | − | 0.969300i | \(-0.579078\pi\) |
−0.0389811 | + | 0.999240i | \(0.512411\pi\) | |||||||
\(318\) | −8.40362 | − | 6.18054i | −0.471251 | − | 0.346588i | ||||
\(319\) | −11.1152 | + | 20.0497i | −0.622334 | + | 1.12257i | ||||
\(320\) | −2.66902 | − | 1.54096i | −0.149203 | − | 0.0861422i | ||||
\(321\) | −9.87446 | − | 5.77782i | −0.551139 | − | 0.322487i | ||||
\(322\) | 1.49875 | + | 1.99035i | 0.0835218 | + | 0.110918i | ||||
\(323\) | −26.2927 | − | 8.54300i | −1.46296 | − | 0.475345i | ||||
\(324\) | −4.31755 | − | 7.89675i | −0.239864 | − | 0.438709i | ||||
\(325\) | 14.1292 | + | 1.48503i | 0.783745 | + | 0.0823749i | ||||
\(326\) | 14.8289 | − | 3.15199i | 0.821299 | − | 0.174572i | ||||
\(327\) | 14.5394 | − | 3.00222i | 0.804033 | − | 0.166023i | ||||
\(328\) | 2.06470 | − | 1.50009i | 0.114004 | − | 0.0828288i | ||||
\(329\) | 20.5521 | + | 17.8783i | 1.13307 | + | 0.985663i | ||||
\(330\) | 17.7031 | − | 0.205037i | 0.974522 | − | 0.0112869i | ||||
\(331\) | −11.3458 | + | 19.6515i | −0.623621 | + | 1.08014i | 0.365185 | + | 0.930935i | \(0.381006\pi\) |
−0.988806 | + | 0.149208i | \(0.952328\pi\) | |||||||
\(332\) | 11.2154 | + | 4.99341i | 0.615525 | + | 0.274049i | ||||
\(333\) | −0.342118 | − | 3.66440i | −0.0187480 | − | 0.200808i | ||||
\(334\) | −5.38237 | − | 5.97773i | −0.294510 | − | 0.327087i | ||||
\(335\) | 11.3926 | − | 15.6805i | 0.622442 | − | 0.856718i | ||||
\(336\) | −1.81652 | + | 4.20717i | −0.0990995 | + | 0.229520i | ||||
\(337\) | 19.9563 | + | 6.48418i | 1.08709 | + | 0.353216i | 0.797120 | − | 0.603821i | \(-0.206356\pi\) |
0.289967 | + | 0.957037i | \(0.406356\pi\) | |||||||
\(338\) | 2.95865 | + | 0.628880i | 0.160929 | + | 0.0342065i | ||||
\(339\) | −11.5669 | − | 0.0672445i | −0.628227 | − | 0.00365222i | ||||
\(340\) | 17.4684 | − | 10.0854i | 0.947358 | − | 0.546958i | ||||
\(341\) | 20.1147 | + | 14.0862i | 1.08927 | + | 0.762811i | ||||
\(342\) | −9.31795 | − | 8.58818i | −0.503857 | − | 0.464396i | ||||
\(343\) | −18.4959 | + | 0.949813i | −0.998684 | + | 0.0512851i | ||||
\(344\) | −1.18636 | + | 0.385470i | −0.0639640 | + | 0.0207832i | ||||
\(345\) | 2.07128 | − | 4.58033i | 0.111514 | − | 0.246597i | ||||
\(346\) | 1.44940 | − | 13.7901i | 0.0779201 | − | 0.741360i | ||||
\(347\) | −0.0103379 | + | 0.0983583i | −0.000554966 | + | 0.00528015i | −0.994796 | − | 0.101888i | \(-0.967512\pi\) |
0.994241 | + | 0.107168i | \(0.0341783\pi\) | |||||||
\(348\) | −4.93295 | + | 10.9085i | −0.264434 | + | 0.584755i | ||||
\(349\) | 3.52948 | − | 1.14680i | 0.188928 | − | 0.0613866i | −0.213025 | − | 0.977047i | \(-0.568331\pi\) |
0.401953 | + | 0.915660i | \(0.368331\pi\) | |||||||
\(350\) | −10.7879 | + | 5.02586i | −0.576636 | + | 0.268643i | ||||
\(351\) | −5.34281 | + | 15.5173i | −0.285178 | + | 0.828252i | ||||
\(352\) | 1.07960 | + | 3.13599i | 0.0575431 | + | 0.167149i | ||||
\(353\) | −6.79914 | + | 3.92549i | −0.361882 | + | 0.208933i | −0.669906 | − | 0.742446i | \(-0.733666\pi\) |
0.308024 | + | 0.951379i | \(0.400332\pi\) | |||||||
\(354\) | −19.5673 | − | 0.113755i | −1.03999 | − | 0.00604601i | ||||
\(355\) | 31.0799 | + | 6.60624i | 1.64955 | + | 0.350623i | ||||
\(356\) | 6.18979 | + | 2.01119i | 0.328058 | + | 0.106593i | ||||
\(357\) | −17.9019 | − | 24.0638i | −0.947469 | − | 1.27359i | ||||
\(358\) | −0.0736215 | + | 0.101331i | −0.00389102 | + | 0.00535553i | ||||
\(359\) | −23.8912 | − | 26.5339i | −1.26093 | − | 1.40040i | −0.879426 | − | 0.476036i | \(-0.842073\pi\) |
−0.381503 | − | 0.924368i | \(-0.624593\pi\) | |||||||
\(360\) | 9.20572 | − | 0.859470i | 0.485184 | − | 0.0452981i | ||||
\(361\) | 1.05757 | + | 0.470861i | 0.0556617 | + | 0.0247822i | ||||
\(362\) | 5.60256 | − | 9.70392i | 0.294464 | − | 0.510027i | ||||
\(363\) | −14.5222 | − | 12.3331i | −0.762219 | − | 0.647319i | ||||
\(364\) | 7.90194 | − | 2.71775i | 0.414174 | − | 0.142449i | ||||
\(365\) | 1.19515 | − | 0.868326i | 0.0625569 | − | 0.0454503i | ||||
\(366\) | 15.1264 | − | 3.12342i | 0.790670 | − | 0.163264i | ||||
\(367\) | 28.2753 | − | 6.01010i | 1.47596 | − | 0.313725i | 0.601519 | − | 0.798858i | \(-0.294562\pi\) |
0.874440 | + | 0.485133i | \(0.161229\pi\) | |||||||
\(368\) | 0.936553 | + | 0.0984357i | 0.0488212 | + | 0.00513132i | ||||
\(369\) | −2.45044 | + | 7.25361i | −0.127565 | + | 0.377608i | ||||
\(370\) | 3.59578 | + | 1.16834i | 0.186936 | + | 0.0607391i | ||||
\(371\) | −9.58525 | − | 12.7293i | −0.497641 | − | 0.660874i | ||||
\(372\) | 11.0686 | + | 6.47657i | 0.573882 | + | 0.335794i | ||||
\(373\) | −22.2105 | − | 12.8232i | −1.15001 | − | 0.663961i | −0.201124 | − | 0.979566i | \(-0.564459\pi\) |
−0.948891 | + | 0.315605i | \(0.897793\pi\) | |||||||
\(374\) | −21.3079 | − | 4.14312i | −1.10180 | − | 0.214236i | ||||
\(375\) | −2.15782 | − | 1.58699i | −0.111429 | − | 0.0819520i | ||||
\(376\) | 10.2394 | − | 1.07620i | 0.528055 | − | 0.0555009i | ||||
\(377\) | 20.7622 | − | 6.74606i | 1.06931 | − | 0.347440i | ||||
\(378\) | −2.85377 | − | 13.4483i | −0.146782 | − | 0.691704i | ||||
\(379\) | −0.104403 | − | 0.0758535i | −0.00536284 | − | 0.00389633i | 0.585101 | − | 0.810961i | \(-0.301055\pi\) |
−0.590463 | + | 0.807064i | \(0.701055\pi\) | |||||||
\(380\) | 11.8926 | − | 5.29493i | 0.610078 | − | 0.271624i | ||||
\(381\) | 3.08434 | − | 2.21363i | 0.158016 | − | 0.113408i | ||||
\(382\) | −11.9706 | − | 10.7784i | −0.612468 | − | 0.551468i | ||||
\(383\) | 20.7093 | − | 2.17664i | 1.05820 | − | 0.111221i | 0.440591 | − | 0.897708i | \(-0.354769\pi\) |
0.617607 | + | 0.786487i | \(0.288102\pi\) | |||||||
\(384\) | 0.695278 | + | 1.58638i | 0.0354808 | + | 0.0809544i | ||||
\(385\) | 25.9930 | + | 7.46489i | 1.32473 | + | 0.380446i | ||||
\(386\) | 5.38209i | 0.273941i | ||||||||
\(387\) | 2.23467 | − | 3.00174i | 0.113595 | − | 0.152587i | ||||
\(388\) | −5.89888 | + | 6.55137i | −0.299470 | + | 0.332596i | ||||
\(389\) | 3.69086 | + | 17.3642i | 0.187134 | + | 0.880397i | 0.967065 | + | 0.254531i | \(0.0819211\pi\) |
−0.779930 | + | 0.625866i | \(0.784746\pi\) | |||||||
\(390\) | −12.4632 | − | 11.3538i | −0.631100 | − | 0.574923i | ||||
\(391\) | −3.62276 | + | 4.98629i | −0.183211 | + | 0.252168i | ||||
\(392\) | −4.50327 | + | 5.35915i | −0.227450 | + | 0.270678i | ||||
\(393\) | 14.5938 | − | 12.9875i | 0.736158 | − | 0.655131i | ||||
\(394\) | −2.21153 | − | 21.0413i | −0.111415 | − | 1.06005i | ||||
\(395\) | 25.7145 | + | 44.5388i | 1.29384 | + | 2.24099i | ||||
\(396\) | −8.08322 | − | 5.80186i | −0.406197 | − | 0.291555i | ||||
\(397\) | −6.68970 | + | 11.5869i | −0.335746 | + | 0.581530i | −0.983628 | − | 0.180211i | \(-0.942322\pi\) |
0.647882 | + | 0.761741i | \(0.275655\pi\) | |||||||
\(398\) | 15.5091 | − | 11.2680i | 0.777399 | − | 0.564814i | ||||
\(399\) | −9.86707 | − | 16.6532i | −0.493971 | − | 0.833704i | ||||
\(400\) | −1.39002 | + | 4.27805i | −0.0695012 | + | 0.213903i | ||||
\(401\) | 9.46995 | + | 21.2698i | 0.472907 | + | 1.06217i | 0.979768 | + | 0.200138i | \(0.0641390\pi\) |
−0.506861 | + | 0.862028i | \(0.669194\pi\) | |||||||
\(402\) | −10.3791 | + | 3.30580i | −0.517664 | + | 0.164878i | ||||
\(403\) | −4.86196 | − | 22.8737i | −0.242192 | − | 1.13942i | ||||
\(404\) | 10.4838 | + | 2.22840i | 0.521589 | + | 0.110867i | ||||
\(405\) | −21.0388 | + | 18.0755i | −1.04542 | + | 0.898181i | ||||
\(406\) | −12.0025 | + | 13.7976i | −0.595676 | + | 0.684761i | ||||
\(407\) | −2.09536 | − | 3.48773i | −0.103863 | − | 0.172881i | ||||
\(408\) | −11.2669 | − | 1.25046i | −0.557795 | − | 0.0619072i | ||||
\(409\) | 3.11517 | − | 6.99678i | 0.154035 | − | 0.345969i | −0.820001 | − | 0.572363i | \(-0.806027\pi\) |
0.974036 | + | 0.226394i | \(0.0726937\pi\) | |||||||
\(410\) | −5.84513 | − | 5.26298i | −0.288670 | − | 0.259920i | ||||
\(411\) | −21.9841 | − | 9.94150i | −1.08440 | − | 0.490378i | ||||
\(412\) | −0.532552 | − | 0.386922i | −0.0262370 | − | 0.0190623i | ||||
\(413\) | −28.5809 | − | 8.74902i | −1.40637 | − | 0.430511i | ||||
\(414\) | −2.46290 | + | 1.38403i | −0.121045 | + | 0.0680212i | ||||
\(415\) | 7.86655 | − | 37.0092i | 0.386154 | − | 1.81671i | ||||
\(416\) | 1.28462 | − | 2.88531i | 0.0629838 | − | 0.141464i | ||||
\(417\) | −22.2404 | − | 16.3570i | −1.08912 | − | 0.801005i | ||||
\(418\) | −13.3971 | − | 4.09676i | −0.655274 | − | 0.200379i | ||||
\(419\) | − | 1.41006i | − | 0.0688859i | −0.999407 | − | 0.0344430i | \(-0.989034\pi\) | ||
0.999407 | − | 0.0344430i | \(-0.0109657\pi\) | |||||||
\(420\) | 13.8468 | + | 2.78022i | 0.675653 | + | 0.135661i | ||||
\(421\) | 8.76429 | + | 26.9737i | 0.427145 | + | 1.31462i | 0.900925 | + | 0.433975i | \(0.142889\pi\) |
−0.473780 | + | 0.880643i | \(0.657111\pi\) | |||||||
\(422\) | 9.23549 | − | 8.31567i | 0.449577 | − | 0.404801i | ||||
\(423\) | −23.1925 | + | 20.3994i | −1.12766 | + | 0.991852i | ||||
\(424\) | −5.98974 | − | 0.629547i | −0.290887 | − | 0.0305735i | ||||
\(425\) | −19.6994 | − | 21.8784i | −0.955561 | − | 1.06126i | ||||
\(426\) | −11.8715 | − | 13.3398i | −0.575176 | − | 0.646315i | ||||
\(427\) | 23.5029 | + | 2.06455i | 1.13739 | + | 0.0999104i | ||||
\(428\) | −6.60526 | −0.319277 | ||||||||
\(429\) | 2.10535 | + | 18.0208i | 0.101647 | + | 0.870055i | ||||
\(430\) | 1.92220 | + | 3.32935i | 0.0926969 | + | 0.160556i | ||||
\(431\) | −2.29839 | − | 1.02331i | −0.110710 | − | 0.0492911i | 0.350634 | − | 0.936512i | \(-0.385966\pi\) |
−0.461344 | + | 0.887221i | \(0.652633\pi\) | |||||||
\(432\) | −4.45401 | − | 2.67616i | −0.214293 | − | 0.128757i | ||||
\(433\) | 4.56670 | − | 14.0549i | 0.219462 | − | 0.675433i | −0.779345 | − | 0.626595i | \(-0.784448\pi\) |
0.998807 | − | 0.0488383i | \(-0.0155519\pi\) | |||||||
\(434\) | 13.3549 | + | 14.3314i | 0.641054 | + | 0.687930i | ||||
\(435\) | 36.0452 | + | 7.88093i | 1.72823 | + | 0.377862i | ||||
\(436\) | 6.36982 | − | 5.73541i | 0.305059 | − | 0.274676i | ||||
\(437\) | −2.66167 | + | 2.95609i | −0.127325 | + | 0.141409i | ||||
\(438\) | −0.830227 | − | 0.00482655i | −0.0396698 | − | 0.000230621i | ||||
\(439\) | 29.7430 | + | 17.1721i | 1.41956 | + | 0.819581i | 0.996260 | − | 0.0864107i | \(-0.0275397\pi\) |
0.423296 | + | 0.905991i | \(0.360873\pi\) | |||||||
\(440\) | 8.76190 | − | 5.26398i | 0.417707 | − | 0.250951i | ||||
\(441\) | 1.72304 | − | 20.9292i | 0.0820493 | − | 0.996628i | ||||
\(442\) | 12.1502 | + | 16.7233i | 0.577925 | + | 0.795446i | ||||
\(443\) | 0.0902981 | − | 0.424819i | 0.00429019 | − | 0.0201838i | −0.975950 | − | 0.217993i | \(-0.930049\pi\) |
0.980241 | + | 0.197809i | \(0.0633825\pi\) | |||||||
\(444\) | −1.23894 | − | 1.72627i | −0.0587973 | − | 0.0819249i | ||||
\(445\) | 2.09665 | − | 19.9483i | 0.0993906 | − | 0.945638i | ||||
\(446\) | 13.1463 | − | 5.85311i | 0.622495 | − | 0.277153i | ||||
\(447\) | −15.9958 | + | 1.58726i | −0.756574 | + | 0.0750749i | ||||
\(448\) | 0.321515 | + | 2.62614i | 0.0151901 | + | 0.124074i | ||||
\(449\) | 14.0701 | + | 19.3658i | 0.664008 | + | 0.913928i | 0.999606 | − | 0.0280772i | \(-0.00893843\pi\) |
−0.335598 | + | 0.942005i | \(0.608938\pi\) | |||||||
\(450\) | −4.02057 | − | 12.8818i | −0.189532 | − | 0.607253i | ||||
\(451\) | 1.03106 | + | 8.40136i | 0.0485507 | + | 0.395605i | ||||
\(452\) | −5.78354 | + | 3.33913i | −0.272035 | + | 0.157059i | ||||
\(453\) | 11.5205 | + | 20.2247i | 0.541279 | + | 0.950237i | ||||
\(454\) | 5.00783 | + | 15.4125i | 0.235029 | + | 0.723345i | ||||
\(455\) | −13.2562 | − | 22.0795i | −0.621458 | − | 1.03510i | ||||
\(456\) | −7.14738 | − | 1.56270i | −0.334707 | − | 0.0731803i | ||||
\(457\) | −0.625599 | − | 1.40512i | −0.0292643 | − | 0.0657287i | 0.898322 | − | 0.439338i | \(-0.144787\pi\) |
−0.927586 | + | 0.373609i | \(0.878120\pi\) | |||||||
\(458\) | −7.72230 | + | 1.64142i | −0.360839 | + | 0.0766987i | ||||
\(459\) | 29.7441 | − | 16.4879i | 1.38833 | − | 0.769589i | ||||
\(460\) | −0.303371 | − | 2.88638i | −0.0141447 | − | 0.134578i | ||||
\(461\) | 26.6732 | 1.24229 | 0.621147 | − | 0.783694i | \(-0.286667\pi\) | ||||
0.621147 | + | 0.783694i | \(0.286667\pi\) | |||||||
\(462\) | −9.28254 | − | 12.0347i | −0.431863 | − | 0.559906i | ||||
\(463\) | −21.7003 | −1.00850 | −0.504250 | − | 0.863557i | \(-0.668231\pi\) | ||||
−0.504250 | + | 0.863557i | \(0.668231\pi\) | |||||||
\(464\) | 0.722504 | + | 6.87417i | 0.0335414 | + | 0.319125i | ||||
\(465\) | 12.4317 | − | 37.5172i | 0.576504 | − | 1.73982i | ||||
\(466\) | 14.4363 | − | 3.06853i | 0.668748 | − | 0.142147i | ||||
\(467\) | −14.7550 | − | 33.1404i | −0.682782 | − | 1.53355i | −0.837998 | − | 0.545673i | \(-0.816274\pi\) |
0.155217 | − | 0.987880i | \(-0.450392\pi\) | |||||||
\(468\) | 1.86209 | + | 9.29031i | 0.0860752 | + | 0.429445i | ||||
\(469\) | −16.6367 | + | 0.284557i | −0.768212 | + | 0.0131396i | ||||
\(470\) | −9.80533 | − | 30.1777i | −0.452286 | − | 1.39199i | ||||
\(471\) | −11.8076 | + | 6.72591i | −0.544066 | + | 0.309914i | ||||
\(472\) | −9.78381 | + | 5.64868i | −0.450336 | + | 0.260002i | ||||
\(473\) | 0.789649 | − | 4.06112i | 0.0363081 | − | 0.186731i | ||||
\(474\) | 3.18828 | − | 28.7269i | 0.146442 | − | 1.31947i | ||||
\(475\) | −11.1682 | − | 15.3718i | −0.512434 | − | 0.705304i | ||||
\(476\) | −15.9372 | − | 6.77155i | −0.730481 | − | 0.310373i | ||||
\(477\) | 15.7515 | − | 8.85156i | 0.721211 | − | 0.405285i | ||||
\(478\) | 1.20281 | − | 0.535526i | 0.0550153 | − | 0.0244944i | ||||
\(479\) | −0.618868 | + | 5.88814i | −0.0282768 | + | 0.269036i | 0.971244 | + | 0.238086i | \(0.0765199\pi\) |
−0.999521 | + | 0.0309500i | \(0.990147\pi\) | |||||||
\(480\) | 4.33673 | − | 3.11246i | 0.197944 | − | 0.142064i | ||||
\(481\) | −0.805577 | + | 3.78994i | −0.0367311 | + | 0.172806i | ||||
\(482\) | −10.1678 | − | 13.9948i | −0.463131 | − | 0.637445i | ||||
\(483\) | −4.21077 | + | 0.944831i | −0.191596 | + | 0.0429913i | ||||
\(484\) | −10.8327 | − | 1.91139i | −0.492394 | − | 0.0868816i | ||||
\(485\) | 23.5294 | + | 13.5847i | 1.06841 | + | 0.616849i | ||||
\(486\) | 15.5439 | − | 1.17818i | 0.705084 | − | 0.0534433i | ||||
\(487\) | 1.22064 | − | 1.35566i | 0.0553125 | − | 0.0614308i | −0.714854 | − | 0.699274i | \(-0.753507\pi\) |
0.770166 | + | 0.637843i | \(0.220173\pi\) | |||||||
\(488\) | 6.62698 | − | 5.96696i | 0.299989 | − | 0.270111i | ||||
\(489\) | −5.60862 | + | 25.6523i | −0.253631 | + | 1.16004i | ||||
\(490\) | 19.0411 | + | 10.1415i | 0.860189 | + | 0.458145i | ||||
\(491\) | −4.72757 | + | 14.5500i | −0.213352 | + | 0.656631i | 0.785914 | + | 0.618336i | \(0.212193\pi\) |
−0.999266 | + | 0.0382954i | \(0.987807\pi\) | |||||||
\(492\) | 0.893898 | + | 4.32906i | 0.0403001 | + | 0.195169i | ||||
\(493\) | −41.3274 | − | 18.4001i | −1.86129 | − | 0.828701i | ||||
\(494\) | 6.67049 | + | 11.5536i | 0.300120 | + | 0.519823i | ||||
\(495\) | −12.3107 | + | 28.0851i | −0.553323 | + | 1.26233i | ||||
\(496\) | 7.40407 | 0.332453 | ||||||||
\(497\) | −11.5193 | − | 24.7258i | −0.516710 | − | 1.10910i | ||||
\(498\) | −15.8847 | + | 14.1363i | −0.711809 | + | 0.633462i | ||||
\(499\) | 27.6948 | + | 30.7582i | 1.23979 | + | 1.37693i | 0.899686 | + | 0.436538i | \(0.143796\pi\) |
0.340104 | + | 0.940388i | \(0.389538\pi\) | |||||||
\(500\) | −1.53800 | − | 0.161650i | −0.0687814 | − | 0.00722922i | ||||
\(501\) | 13.2752 | − | 4.22822i | 0.593093 | − | 0.188903i | ||||
\(502\) | 3.94442 | − | 3.55157i | 0.176048 | − | 0.158514i | ||||
\(503\) | 0.145451 | + | 0.447653i | 0.00648535 | + | 0.0199599i | 0.954247 | − | 0.299020i | \(-0.0966597\pi\) |
−0.947761 | + | 0.318980i | \(0.896660\pi\) | |||||||
\(504\) | −5.34328 | − | 5.86936i | −0.238009 | − | 0.261442i | ||||
\(505\) | − | 33.0321i | − | 1.46991i | ||||||
\(506\) | −1.79160 | + | 2.55836i | −0.0796465 | + | 0.113733i | ||||
\(507\) | −3.10400 | + | 4.22047i | −0.137854 | + | 0.187438i | ||||
\(508\) | 0.891528 | − | 2.00240i | 0.0395551 | − | 0.0888423i | ||||
\(509\) | 7.92969 | − | 37.3063i | 0.351478 | − | 1.65357i | −0.346945 | − | 0.937886i | \(-0.612781\pi\) |
0.698422 | − | 0.715686i | \(-0.253886\pi\) | |||||||
\(510\) | 3.44984 | + | 34.7661i | 0.152762 | + | 1.53947i | ||||
\(511\) | −1.21267 | − | 0.371215i | −0.0536453 | − | 0.0164216i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 20.2037 | − | 8.57628i | 0.892016 | − | 0.378652i | ||||
\(514\) | 5.27859 | + | 4.75286i | 0.232829 | + | 0.209640i | ||||
\(515\) | −0.825161 | + | 1.85334i | −0.0363609 | + | 0.0816680i | ||||
\(516\) | 0.238329 | − | 2.14739i | 0.0104919 | − | 0.0945335i | ||||
\(517\) | −13.3442 | + | 31.4319i | −0.586878 | + | 1.38237i | ||||
\(518\) | −1.05564 | − | 3.06929i | −0.0463820 | − | 0.134857i | ||||
\(519\) | 20.7289 | + | 12.1291i | 0.909899 | + | 0.532407i | ||||
\(520\) | −9.52110 | − | 2.02377i | −0.417528 | − | 0.0887483i | ||||
\(521\) | −6.77646 | − | 31.8807i | −0.296882 | − | 1.39672i | −0.833325 | − | 0.552784i | \(-0.813565\pi\) |
0.536442 | − | 0.843937i | \(-0.319768\pi\) | |||||||
\(522\) | −13.6951 | − | 15.5702i | −0.599416 | − | 0.681489i | ||||
\(523\) | −8.05494 | − | 18.0917i | −0.352218 | − | 0.791094i | −0.999582 | − | 0.0289133i | \(-0.990795\pi\) |
0.647364 | − | 0.762181i | \(-0.275871\pi\) | |||||||
\(524\) | 3.48542 | − | 10.7270i | 0.152261 | − | 0.468613i | ||||
\(525\) | −0.232701 | − | 20.6121i | −0.0101559 | − | 0.899585i | ||||
\(526\) | 5.25445 | − | 3.81758i | 0.229105 | − | 0.166455i | ||||
\(527\) | −24.2294 | + | 41.9666i | −1.05545 | + | 1.82809i | ||||
\(528\) | −5.71966 | − | 0.534265i | −0.248916 | − | 0.0232509i | ||||
\(529\) | −11.0566 | − | 19.1506i | −0.480721 | − | 0.832634i | ||||
\(530\) | 1.94021 | + | 18.4599i | 0.0842774 | + | 0.801846i | ||||
\(531\) | 14.1442 | − | 30.7996i | 0.613806 | − | 1.33659i | ||||
\(532\) | −9.77259 | − | 5.42152i | −0.423696 | − | 0.235053i | ||||
\(533\) | 4.73784 | − | 6.52108i | 0.205219 | − | 0.282459i | ||||
\(534\) | −7.59152 | + | 8.33330i | −0.328517 | + | 0.360617i | ||||
\(535\) | 4.23243 | + | 19.9120i | 0.182984 | + | 0.860871i | ||||
\(536\) | −4.20816 | + | 4.67364i | −0.181765 | + | 0.201871i | ||||
\(537\) | −0.107378 | − | 0.188506i | −0.00463369 | − | 0.00813464i | ||||
\(538\) | 21.3176i | 0.919067i | ||||||||
\(539\) | −8.30353 | − | 21.6807i | −0.357658 | − | 0.933852i | ||||
\(540\) | −5.21349 | + | 15.1417i | −0.224353 | + | 0.651595i | ||||
\(541\) | −27.3195 | + | 2.87140i | −1.17456 | + | 0.123451i | −0.671637 | − | 0.740881i | \(-0.734408\pi\) |
−0.502922 | + | 0.864332i | \(0.667742\pi\) | |||||||
\(542\) | 11.6244 | + | 10.4666i | 0.499310 | + | 0.449581i | ||||
\(543\) | 11.3162 | + | 15.7673i | 0.485623 | + | 0.676641i | ||||
\(544\) | −5.97905 | + | 2.66205i | −0.256350 | + | 0.114134i | ||||
\(545\) | −21.3714 | − | 15.5272i | −0.915449 | − | 0.665113i | ||||
\(546\) | −1.35030 | + | 14.4103i | −0.0577874 | + | 0.616704i | ||||
\(547\) | −12.5373 | + | 4.07360i | −0.536055 | + | 0.174175i | −0.564519 | − | 0.825420i | \(-0.690938\pi\) |
0.0284643 | + | 0.999595i | \(0.490938\pi\) | |||||||
\(548\) | −13.8537 | + | 1.45608i | −0.591801 | + | 0.0622008i | ||||
\(549\) | −5.86601 | + | 26.1014i | −0.250355 | + | 1.11398i | ||||
\(550\) | −10.1740 | − | 10.9116i | −0.433821 | − | 0.465271i | ||||
\(551\) | −25.2850 | − | 14.5983i | −1.07718 | − | 0.621908i | ||||
\(552\) | −0.823745 | + | 1.40780i | −0.0350609 | + | 0.0599201i | ||||
\(553\) | 17.2652 | − | 40.6347i | 0.734193 | − | 1.72796i | ||||
\(554\) | 4.80459 | + | 1.56111i | 0.204128 | + | 0.0663251i | ||||
\(555\) | −4.41008 | + | 4.84099i | −0.187197 | + | 0.205489i | ||||
\(556\) | −15.8520 | − | 1.66611i | −0.672275 | − | 0.0706590i | ||||
\(557\) | −10.0877 | + | 2.14421i | −0.427431 | + | 0.0908532i | −0.416604 | − | 0.909088i | \(-0.636780\pi\) |
−0.0108270 | + | 0.999941i | \(0.503446\pi\) | |||||||
\(558\) | −18.1206 | + | 12.8462i | −0.767108 | + | 0.543823i | ||||
\(559\) | −3.18734 | + | 2.31574i | −0.134810 | + | 0.0979452i | ||||
\(560\) | 7.71068 | − | 2.65197i | 0.325836 | − | 0.112066i | ||||
\(561\) | 21.7455 | − | 30.6709i | 0.918096 | − | 1.29493i | ||||
\(562\) | −3.74202 | + | 6.48138i | −0.157848 | + | 0.273400i | ||||
\(563\) | −5.76820 | − | 2.56817i | −0.243101 | − | 0.108235i | 0.281570 | − | 0.959541i | \(-0.409145\pi\) |
−0.524671 | + | 0.851305i | \(0.675812\pi\) | |||||||
\(564\) | −5.60914 | + | 16.9277i | −0.236188 | + | 0.712784i | ||||
\(565\) | 13.7719 | + | 15.2953i | 0.579390 | + | 0.643478i | ||||
\(566\) | −5.57934 | + | 7.67931i | −0.234517 | + | 0.322785i | ||||
\(567\) | 23.2605 | + | 5.09392i | 0.976850 | + | 0.213925i | ||||
\(568\) | −9.80530 | − | 3.18594i | −0.411421 | − | 0.133679i | ||||
\(569\) | 29.7627 | + | 6.32627i | 1.24772 | + | 0.265211i | 0.783994 | − | 0.620768i | \(-0.213179\pi\) |
0.463725 | + | 0.885979i | \(0.346513\pi\) | |||||||
\(570\) | −0.131081 | + | 22.5476i | −0.00549039 | + | 0.944415i | ||||
\(571\) | −11.8491 | + | 6.84107i | −0.495868 | + | 0.286290i | −0.727006 | − | 0.686631i | \(-0.759089\pi\) |
0.231137 | + | 0.972921i | \(0.425755\pi\) | |||||||
\(572\) | 6.30359 | + | 8.36616i | 0.263566 | + | 0.349807i | ||||
\(573\) | 25.5533 | − | 11.1995i | 1.06751 | − | 0.467867i | ||||
\(574\) | −0.590857 | + | 6.72635i | −0.0246619 | + | 0.280752i | ||||
\(575\) | −4.02869 | + | 1.30900i | −0.168008 | + | 0.0545892i | ||||
\(576\) | −2.99980 | − | 0.0348800i | −0.124992 | − | 0.00145333i | ||||
\(577\) | −4.06452 | + | 38.6714i | −0.169208 | + | 1.60991i | 0.499452 | + | 0.866342i | \(0.333535\pi\) |
−0.668660 | + | 0.743568i | \(0.733132\pi\) | |||||||
\(578\) | 2.70055 | − | 25.6940i | 0.112328 | − | 1.06873i | ||||
\(579\) | −8.49393 | − | 3.84106i | −0.352996 | − | 0.159629i | ||||
\(580\) | 20.2597 | − | 6.58277i | 0.841238 | − | 0.273335i | ||||
\(581\) | −29.4429 | + | 13.7169i | −1.22150 | + | 0.569071i | ||||
\(582\) | −6.12939 | − | 13.9851i | −0.254071 | − | 0.579700i | ||||
\(583\) | 11.4582 | − | 16.3620i | 0.474551 | − | 0.677645i | ||||
\(584\) | −0.415120 | + | 0.239670i | −0.0171778 | + | 0.00991761i | ||||
\(585\) | 26.8131 | − | 11.5663i | 1.10859 | − | 0.478209i | ||||
\(586\) | −22.8813 | − | 4.86357i | −0.945218 | − | 0.200912i | ||||
\(587\) | −3.93016 | − | 1.27698i | −0.162215 | − | 0.0527068i | 0.226784 | − | 0.973945i | \(-0.427179\pi\) |
−0.388999 | + | 0.921238i | \(0.627179\pi\) | |||||||
\(588\) | −5.24386 | − | 10.9317i | −0.216253 | − | 0.450815i | ||||
\(589\) | −18.3829 | + | 25.3020i | −0.757456 | + | 1.04255i | ||||
\(590\) | 23.2975 | + | 25.8745i | 0.959142 | + | 1.06524i | ||||
\(591\) | 34.7854 | + | 11.5264i | 1.43088 | + | 0.474135i | ||||
\(592\) | −1.12072 | − | 0.498976i | −0.0460612 | − | 0.0205078i | ||||
\(593\) | −11.9654 | + | 20.7247i | −0.491359 | + | 0.851060i | −0.999951 | − | 0.00994862i | \(-0.996833\pi\) |
0.508591 | + | 0.861008i | \(0.330167\pi\) | |||||||
\(594\) | 14.9252 | − | 8.61617i | 0.612389 | − | 0.353526i | ||||
\(595\) | −10.2013 | + | 52.3828i | −0.418211 | + | 2.14749i | ||||
\(596\) | −7.50810 | + | 5.45496i | −0.307544 | + | 0.223444i | ||||
\(597\) | 6.71454 | + | 32.5179i | 0.274808 | + | 1.33087i | ||||
\(598\) | 2.90927 | − | 0.618385i | 0.118969 | − | 0.0252877i | ||||
\(599\) | −20.9951 | − | 2.20667i | −0.857835 | − | 0.0901621i | −0.334610 | − | 0.942357i | \(-0.608605\pi\) |
−0.523225 | + | 0.852195i | \(0.675271\pi\) | |||||||
\(600\) | −5.75953 | − | 5.24686i | −0.235132 | − | 0.214202i | ||||
\(601\) | 25.8399 | + | 8.39589i | 1.05403 | + | 0.342475i | 0.784249 | − | 0.620446i | \(-0.213048\pi\) |
0.269782 | + | 0.962921i | \(0.413048\pi\) | |||||||
\(602\) | 1.29061 | − | 3.03752i | 0.0526012 | − | 0.123800i | ||||
\(603\) | 2.19017 | − | 18.7395i | 0.0891904 | − | 0.763130i | ||||
\(604\) | 11.6378 | + | 6.71911i | 0.473537 | + | 0.273397i | ||||
\(605\) | 1.17918 | + | 33.8806i | 0.0479404 | + | 1.37744i | ||||
\(606\) | −10.9989 | + | 14.9550i | −0.446799 | + | 0.607507i | ||||
\(607\) | −8.36565 | + | 0.879265i | −0.339551 | + | 0.0356883i | −0.272770 | − | 0.962079i | \(-0.587940\pi\) |
−0.0667815 | + | 0.997768i | \(0.521273\pi\) | |||||||
\(608\) | −4.01728 | + | 1.30529i | −0.162922 | + | 0.0529367i | ||||
\(609\) | −13.2092 | − | 28.7892i | −0.535263 | − | 1.16660i | ||||
\(610\) | −22.2342 | − | 16.1541i | −0.900234 | − | 0.654059i | ||||
\(611\) | 29.7065 | − | 13.2262i | 1.20180 | − | 0.535074i | ||||
\(612\) | 10.0144 | − | 16.8888i | 0.404807 | − | 0.682690i | ||||
\(613\) | 2.54581 | + | 2.29226i | 0.102824 | + | 0.0925835i | 0.718940 | − | 0.695073i | \(-0.244628\pi\) |
−0.616115 | + | 0.787656i | \(0.711294\pi\) | |||||||
\(614\) | 32.7566 | − | 3.44286i | 1.32195 | − | 0.138943i | ||||
\(615\) | 12.4775 | − | 5.46864i | 0.503140 | − | 0.220517i | ||||
\(616\) | −8.13466 | − | 3.29049i | −0.327755 | − | 0.132578i | ||||
\(617\) | − | 3.55740i | − | 0.143215i | −0.997433 | − | 0.0716077i | \(-0.977187\pi\) | ||
0.997433 | − | 0.0716077i | \(-0.0228130\pi\) | |||||||
\(618\) | 0.990703 | − | 0.564329i | 0.0398519 | − | 0.0227006i | ||||
\(619\) | 16.3170 | − | 18.1219i | 0.655837 | − | 0.728380i | −0.319870 | − | 0.947461i | \(-0.603639\pi\) |
0.975707 | + | 0.219081i | \(0.0703059\pi\) | |||||||
\(620\) | −4.74428 | − | 22.3201i | −0.190535 | − | 0.896396i | ||||
\(621\) | −0.426540 | − | 4.87465i | −0.0171165 | − | 0.195613i | ||||
\(622\) | 17.7427 | − | 24.4208i | 0.711419 | − | 0.979184i | ||||
\(623\) | −14.7630 | + | 8.86348i | −0.591469 | + | 0.355108i | ||||
\(624\) | 3.63675 | + | 4.08654i | 0.145586 | + | 0.163593i | ||||
\(625\) | 2.84915 | + | 27.1078i | 0.113966 | + | 1.08431i | ||||
\(626\) | 3.67846 | + | 6.37128i | 0.147021 | + | 0.254647i | ||||
\(627\) | 16.0266 | − | 18.2193i | 0.640042 | − | 0.727611i | ||||
\(628\) | −3.92277 | + | 6.79444i | −0.156536 | + | 0.271128i | ||||
\(629\) | 6.49570 | − | 4.71940i | 0.259000 | − | 0.188175i | ||||
\(630\) | −14.2698 | + | 19.8686i | −0.568522 | + | 0.791583i | ||||
\(631\) | 4.73303 | − | 14.5668i | 0.188419 | − | 0.579894i | −0.811571 | − | 0.584253i | \(-0.801388\pi\) |
0.999990 | + | 0.00435903i | \(0.00138753\pi\) | |||||||
\(632\) | −6.78735 | − | 15.2446i | −0.269986 | − | 0.606399i | ||||
\(633\) | 6.53253 | + | 20.5100i | 0.259645 | + | 0.815199i | ||||
\(634\) | −1.06031 | − | 4.98836i | −0.0421102 | − | 0.198113i | ||||
\(635\) | −6.60765 | − | 1.40450i | −0.262216 | − | 0.0557358i | ||||
\(636\) | 5.26827 | − | 9.00362i | 0.208900 | − | 0.357017i | ||||
\(637\) | −8.29638 | + | 20.4929i | −0.328715 | + | 0.811957i | ||||
\(638\) | −21.1017 | − | 8.95859i | −0.835424 | − | 0.354674i | ||||
\(639\) | 29.5250 | − | 9.21515i | 1.16799 | − | 0.364546i | ||||
\(640\) | 1.25353 | − | 2.81547i | 0.0495501 | − | 0.111291i | ||||
\(641\) | 11.6753 | + | 10.5125i | 0.461148 | + | 0.415220i | 0.866683 | − | 0.498860i | \(-0.166248\pi\) |
−0.405534 | + | 0.914080i | \(0.632915\pi\) | |||||||
\(642\) | 4.71401 | − | 10.4243i | 0.186047 | − | 0.411415i | ||||
\(643\) | 23.3131 | + | 16.9380i | 0.919379 | + | 0.667968i | 0.943369 | − | 0.331744i | \(-0.107637\pi\) |
−0.0239904 | + | 0.999712i | \(0.507637\pi\) | |||||||
\(644\) | −1.82279 | + | 1.69858i | −0.0718280 | + | 0.0669336i | ||||
\(645\) | −6.62616 | + | 0.657515i | −0.260905 | + | 0.0258896i | ||||
\(646\) | 5.74787 | − | 27.0416i | 0.226147 | − | 1.06394i | ||||
\(647\) | 13.9072 | − | 31.2360i | 0.546747 | − | 1.22801i | −0.403058 | − | 0.915174i | \(-0.632053\pi\) |
0.949806 | − | 0.312841i | \(-0.101281\pi\) | |||||||
\(648\) | 7.40219 | − | 5.11934i | 0.290785 | − | 0.201107i | ||||
\(649\) | −0.651740 | − | 37.4635i | −0.0255830 | − | 1.47057i | ||||
\(650\) | 14.2070i | 0.557244i | ||||||||
\(651\) | −32.1487 | + | 10.8485i | −1.26001 | + | 0.425185i | ||||
\(652\) | 4.68477 | + | 14.4182i | 0.183470 | + | 0.564661i | ||||
\(653\) | −16.5847 | + | 14.9329i | −0.649008 | + | 0.584369i | −0.926471 | − | 0.376367i | \(-0.877173\pi\) |
0.277463 | + | 0.960736i | \(0.410506\pi\) | |||||||
\(654\) | 4.50556 | + | 14.1460i | 0.176181 | + | 0.553152i | ||||
\(655\) | −34.5707 | − | 3.63353i | −1.35079 | − | 0.141974i | ||||
\(656\) | 1.70770 | + | 1.89659i | 0.0666743 | + | 0.0740493i | ||||
\(657\) | 0.600129 | − | 1.30681i | 0.0234133 | − | 0.0509834i | ||||
\(658\) | −15.6321 | + | 22.3083i | −0.609402 | + | 0.869667i | ||||
\(659\) | 25.6988 | 1.00108 | 0.500541 | − | 0.865713i | \(-0.333135\pi\) | ||||
0.500541 | + | 0.865713i | \(0.333135\pi\) | |||||||
\(660\) | 2.05439 | + | 17.5847i | 0.0799670 | + | 0.684482i | ||||
\(661\) | −3.56073 | − | 6.16737i | −0.138496 | − | 0.239883i | 0.788431 | − | 0.615123i | \(-0.210894\pi\) |
−0.926928 | + | 0.375240i | \(0.877560\pi\) | |||||||
\(662\) | −20.7298 | − | 9.22949i | −0.805686 | − | 0.358714i | ||||
\(663\) | −35.0637 | + | 7.24024i | −1.36176 | + | 0.281187i | ||||
\(664\) | −3.79373 | + | 11.6759i | −0.147225 | + | 0.453113i | ||||
\(665\) | −10.0816 | + | 32.9341i | −0.390947 | + | 1.27713i | ||||
\(666\) | 3.60856 | − | 0.723278i | 0.139829 | − | 0.0280265i | ||||
\(667\) | −4.83724 | + | 4.35547i | −0.187299 | + | 0.168644i | ||||
\(668\) | 5.38237 | − | 5.97773i | 0.208250 | − | 0.231285i | ||||
\(669\) | −0.144900 | + | 24.9245i | −0.00560214 | + | 0.963637i | ||||
\(670\) | 16.7855 | + | 9.69109i | 0.648479 | + | 0.374400i | ||||
\(671\) | 6.65145 | + | 28.8183i | 0.256777 | + | 1.11252i | ||||
\(672\) | −4.37400 | − | 1.36680i | −0.168731 | − | 0.0527256i | ||||
\(673\) | 22.0224 | + | 30.3112i | 0.848901 | + | 1.16841i | 0.984104 | + | 0.177594i | \(0.0568313\pi\) |
−0.135203 | + | 0.990818i | \(0.543169\pi\) | |||||||
\(674\) | −4.36266 | + | 20.5247i | −0.168044 | + | 0.790583i | ||||
\(675\) | 23.1992 | + | 2.84820i | 0.892938 | + | 0.109627i | ||||
\(676\) | −0.316172 | + | 3.00817i | −0.0121605 | + | 0.115699i | ||||
\(677\) | −20.1849 | + | 8.98688i | −0.775767 | + | 0.345394i | −0.756137 | − | 0.654413i | \(-0.772916\pi\) |
−0.0196304 | + | 0.999807i | \(0.506249\pi\) | |||||||
\(678\) | −1.14219 | − | 11.5106i | −0.0438657 | − | 0.442060i | ||||
\(679\) | −2.83439 | − | 23.1514i | −0.108774 | − | 0.888469i | ||||
\(680\) | 11.8561 | + | 16.3185i | 0.454661 | + | 0.625787i | ||||
\(681\) | −27.8978 | − | 3.09625i | −1.06904 | − | 0.118649i | ||||
\(682\) | −11.9065 | + | 21.4769i | −0.455923 | + | 0.822394i | ||||
\(683\) | 26.0305 | − | 15.0287i | 0.996031 | − | 0.575059i | 0.0889592 | − | 0.996035i | \(-0.471646\pi\) |
0.907071 | + | 0.420977i | \(0.138313\pi\) | |||||||
\(684\) | 7.56714 | − | 10.1646i | 0.289337 | − | 0.388654i | ||||
\(685\) | 13.2665 | + | 40.8299i | 0.506885 | + | 1.56003i | ||||
\(686\) | −2.87796 | − | 18.2953i | −0.109881 | − | 0.698517i | ||||
\(687\) | 2.92074 | − | 13.3587i | 0.111433 | − | 0.509665i | ||||
\(688\) | −0.507366 | − | 1.13956i | −0.0193432 | − | 0.0434454i | ||||
\(689\) | −18.6063 | + | 3.95489i | −0.708843 | + | 0.150669i | ||||
\(690\) | 4.77175 | + | 1.58116i | 0.181657 | + | 0.0601938i | ||||
\(691\) | 3.91547 | + | 37.2532i | 0.148951 | + | 1.41718i | 0.772312 | + | 0.635244i | \(0.219100\pi\) |
−0.623360 | + | 0.781935i | \(0.714233\pi\) | |||||||
\(692\) | 13.8661 | 0.527108 | ||||||||
\(693\) | 25.6177 | − | 6.06068i | 0.973137 | − | 0.230226i | ||||
\(694\) | −0.0989001 | −0.00375420 | ||||||||
\(695\) | 5.13483 | + | 48.8546i | 0.194775 | + | 1.85316i | ||||
\(696\) | −11.3643 | − | 3.76568i | −0.430764 | − | 0.142738i | ||||
\(697\) | −16.3383 | + | 3.47281i | −0.618856 | + | 0.131542i | ||||
\(698\) | 1.50944 | + | 3.39027i | 0.0571333 | + | 0.128324i | ||||
\(699\) | −5.46011 | + | 24.9731i | −0.206521 | + | 0.944568i | ||||
\(700\) | −6.12597 | − | 10.2034i | −0.231540 | − | 0.385653i | ||||
\(701\) | 2.35501 | + | 7.24797i | 0.0889474 | + | 0.273752i | 0.985629 | − | 0.168924i | \(-0.0540292\pi\) |
−0.896682 | + | 0.442676i | \(0.854029\pi\) | |||||||
\(702\) | −15.9908 | − | 3.69154i | −0.603532 | − | 0.139328i | ||||
\(703\) | 4.48769 | − | 2.59097i | 0.169256 | − | 0.0977202i | ||||
\(704\) | −3.00596 | + | 1.40149i | −0.113292 | + | 0.0528207i | ||||
\(705\) | 54.6238 | + | 6.06246i | 2.05725 | + | 0.228325i | ||||
\(706\) | −4.61468 | − | 6.35157i | −0.173676 | − | 0.239044i | ||||
\(707\) | −22.6531 | + | 17.0579i | −0.851957 | + | 0.641527i | ||||
\(708\) | −1.93221 | − | 19.4720i | −0.0726167 | − | 0.731802i | ||||
\(709\) | 24.0158 | − | 10.6925i | 0.901933 | − | 0.401566i | 0.0972421 | − | 0.995261i | \(-0.468998\pi\) |
0.804691 | + | 0.593694i | \(0.202331\pi\) | |||||||
\(710\) | −3.32132 | + | 31.6002i | −0.124647 | + | 1.18593i | ||||
\(711\) | 43.0610 | + | 25.5334i | 1.61491 | + | 0.957577i | ||||
\(712\) | −1.35316 | + | 6.36611i | −0.0507118 | + | 0.238580i | ||||
\(713\) | 4.09833 | + | 5.64087i | 0.153484 | + | 0.211252i | ||||
\(714\) | 22.0608 | − | 20.3192i | 0.825603 | − | 0.760427i | ||||
\(715\) | 21.1812 | − | 24.3634i | 0.792133 | − | 0.911138i | ||||
\(716\) | −0.108472 | − | 0.0626262i | −0.00405378 | − | 0.00234045i | ||||
\(717\) | −0.0132575 | + | 2.28045i | −0.000495110 | + | 0.0851650i | ||||
\(718\) | 23.8912 | − | 26.5339i | 0.891611 | − | 0.990235i | ||||
\(719\) | −10.0853 | + | 9.08084i | −0.376118 | + | 0.338658i | −0.835410 | − | 0.549627i | \(-0.814770\pi\) |
0.459292 | + | 0.888285i | \(0.348103\pi\) | |||||||
\(720\) | 1.81702 | + | 9.06545i | 0.0677164 | + | 0.337849i | ||||
\(721\) | 1.69712 | − | 0.391184i | 0.0632040 | − | 0.0145685i | ||||
\(722\) | −0.357736 | + | 1.10100i | −0.0133135 | + | 0.0409749i | ||||
\(723\) | 29.3429 | − | 6.05894i | 1.09127 | − | 0.225335i | ||||
\(724\) | 10.2364 | + | 4.55753i | 0.380432 | + | 0.169379i | ||||
\(725\) | −15.5459 | − | 26.9263i | −0.577360 | − | 1.00002i | ||||
\(726\) | 10.7475 | − | 15.7318i | 0.398878 | − | 0.583863i | ||||
\(727\) | −9.71879 | −0.360450 | −0.180225 | − | 0.983625i | \(-0.557683\pi\) | ||||
−0.180225 | + | 0.983625i | \(0.557683\pi\) | |||||||
\(728\) | 3.52884 | + | 7.57457i | 0.130788 | + | 0.280732i | ||||
\(729\) | −9.23389 | + | 25.3719i | −0.341996 | + | 0.939701i | ||||
\(730\) | 0.988496 | + | 1.09784i | 0.0365859 | + | 0.0406328i | ||||
\(731\) | 8.11942 | + | 0.853385i | 0.300308 | + | 0.0315636i | ||||
\(732\) | 4.68745 | + | 14.7171i | 0.173253 | + | 0.543958i | ||||
\(733\) | 4.26339 | − | 3.83878i | 0.157472 | − | 0.141789i | −0.586628 | − | 0.809856i | \(-0.699545\pi\) |
0.744100 | + | 0.668068i | \(0.232878\pi\) | |||||||
\(734\) | 8.93276 | + | 27.4922i | 0.329714 | + | 1.01476i | ||||
\(735\) | −29.5943 | + | 22.8126i | −1.09160 | + | 0.841457i | ||||
\(736\) | 0.941712i | 0.0347120i | ||||||||
\(737\) | −6.78964 | − | 19.7223i | −0.250099 | − | 0.726479i | ||||
\(738\) | −7.47001 | − | 1.67881i | −0.274975 | − | 0.0617977i | ||||
\(739\) | −4.39103 | + | 9.86241i | −0.161527 | + | 0.362794i | −0.976118 | − | 0.217240i | \(-0.930294\pi\) |
0.814592 | + | 0.580035i | \(0.196961\pi\) | |||||||
\(740\) | −0.786078 | + | 3.69821i | −0.0288968 | + | 0.135949i | ||||
\(741\) | −22.9943 | + | 2.28173i | −0.844718 | + | 0.0838214i | ||||
\(742\) | 11.6577 | − | 10.8633i | 0.427967 | − | 0.398805i | ||||
\(743\) | −17.7155 | − | 12.8711i | −0.649918 | − | 0.472193i | 0.213325 | − | 0.976981i | \(-0.431571\pi\) |
−0.863243 | + | 0.504788i | \(0.831571\pi\) | |||||||
\(744\) | −5.28410 | + | 11.6850i | −0.193725 | + | 0.428393i | ||||
\(745\) | 21.2553 | + | 19.1383i | 0.778733 | + | 0.701175i | ||||
\(746\) | 10.4313 | − | 23.4292i | 0.381919 | − | 0.857804i | ||||
\(747\) | −10.9732 | − | 35.1577i | −0.401487 | − | 1.28635i | ||||
\(748\) | 1.89315 | − | 21.6242i | 0.0692203 | − | 0.790660i | ||||
\(749\) | 11.4698 | − | 13.1852i | 0.419098 | − | 0.481776i | ||||
\(750\) | 1.35275 | − | 2.31188i | 0.0493953 | − | 0.0844180i | ||||
\(751\) | −50.8622 | − | 10.8111i | −1.85599 | − | 0.394503i | −0.862274 | − | 0.506442i | \(-0.830961\pi\) |
−0.993715 | + | 0.111939i | \(0.964294\pi\) | |||||||
\(752\) | 2.14061 | + | 10.0708i | 0.0780601 | + | 0.367244i | ||||
\(753\) | 2.79000 | + | 8.75968i | 0.101673 | + | 0.319221i | ||||
\(754\) | 8.87935 | + | 19.9433i | 0.323367 | + | 0.726294i | ||||
\(755\) | 12.7981 | − | 39.3885i | 0.465770 | − | 1.43349i | ||||
\(756\) | 13.0763 | − | 4.24386i | 0.475580 | − | 0.154348i | ||||
\(757\) | −16.4528 | + | 11.9537i | −0.597988 | + | 0.434464i | −0.845164 | − | 0.534507i | \(-0.820497\pi\) |
0.247176 | + | 0.968971i | \(0.420497\pi\) | |||||||
\(758\) | 0.0645249 | − | 0.111760i | 0.00234365 | − | 0.00405932i | ||||
\(759\) | −2.75894 | − | 4.65332i | −0.100143 | − | 0.168905i | ||||
\(760\) | 6.50904 | + | 11.2740i | 0.236108 | + | 0.408950i | ||||
\(761\) | 0.528610 | + | 5.02939i | 0.0191621 | + | 0.182315i | 0.999916 | − | 0.0129308i | \(-0.00411611\pi\) |
−0.980754 | + | 0.195246i | \(0.937449\pi\) | |||||||
\(762\) | 2.52390 | + | 2.83606i | 0.0914313 | + | 0.102740i | ||||
\(763\) | 0.387830 | + | 22.6746i | 0.0140404 | + | 0.820875i | ||||
\(764\) | 9.46804 | − | 13.0316i | 0.342542 | − | 0.471468i | ||||
\(765\) | −57.3294 | − | 19.3672i | −2.07275 | − | 0.700223i | ||||
\(766\) | 4.32943 | + | 20.3684i | 0.156429 | + | 0.735939i | ||||
\(767\) | −23.8754 | + | 26.5163i | −0.862090 | + | 0.957448i | ||||
\(768\) | −1.50501 | + | 0.857291i | −0.0543073 | + | 0.0309348i | ||||
\(769\) | − | 30.0408i | − | 1.08330i | −0.840605 | − | 0.541649i | \(-0.817800\pi\) | ||
0.840605 | − | 0.541649i | \(-0.182200\pi\) | |||||||
\(770\) | −4.70699 | + | 26.6309i | −0.169628 | + | 0.959712i | ||||
\(771\) | −11.2681 | + | 4.93859i | −0.405811 | + | 0.177859i | ||||
\(772\) | −5.35261 | + | 0.562582i | −0.192645 | + | 0.0202478i | ||||
\(773\) | 21.0556 | + | 18.9586i | 0.757319 | + | 0.681893i | 0.954412 | − | 0.298492i | \(-0.0964836\pi\) |
−0.197094 | + | 0.980385i | \(0.563150\pi\) | |||||||
\(774\) | 3.21889 | + | 1.90867i | 0.115700 | + | 0.0686056i | ||||
\(775\) | −30.4257 | + | 13.5464i | −1.09292 | + | 0.486601i | ||||
\(776\) | −7.13209 | − | 5.18176i | −0.256027 | − | 0.186014i | ||||
\(777\) | 5.59728 | + | 0.524485i | 0.200801 | + | 0.0188158i | ||||
\(778\) | −16.8832 | + | 5.48569i | −0.605293 | + | 0.196672i | ||||
\(779\) | −10.7211 | + | 1.12683i | −0.384124 | + | 0.0403730i | ||||
\(780\) | 9.98887 | − | 13.5817i | 0.357659 | − | 0.486305i | ||||
\(781\) | 25.0093 | − | 23.3189i | 0.894904 | − | 0.834414i | ||||
\(782\) | −5.33766 | − | 3.08170i | −0.190874 | − | 0.110201i | ||||
\(783\) | 34.3465 | − | 10.5013i | 1.22744 | − | 0.375284i | ||||
\(784\) | −5.80052 | − | 3.91842i | −0.207161 | − | 0.139944i | ||||
\(785\) | 22.9959 | + | 7.47182i | 0.820759 | + | 0.266681i | ||||
\(786\) | 14.4418 | + | 13.1563i | 0.515121 | + | 0.469268i | ||||
\(787\) | −21.4385 | − | 2.25328i | −0.764201 | − | 0.0803208i | −0.285595 | − | 0.958350i | \(-0.592191\pi\) |
−0.478606 | + | 0.878030i | \(0.658858\pi\) | |||||||
\(788\) | 20.6949 | − | 4.39883i | 0.737224 | − | 0.156702i | ||||
\(789\) | 2.27488 | + | 11.0170i | 0.0809878 | + | 0.392216i | ||||
\(790\) | −41.6069 | + | 30.2292i | −1.48031 | + | 1.07551i | ||||
\(791\) | 3.37749 | − | 17.3432i | 0.120090 | − | 0.616653i | ||||
\(792\) | 4.92515 | − | 8.64540i | 0.175008 | − | 0.307201i | ||||
\(793\) | 14.0823 | − | 24.3913i | 0.500078 | − | 0.866160i | ||||
\(794\) | −12.2227 | − | 5.44189i | −0.433767 | − | 0.193126i | ||||
\(795\) | −30.5178 | − | 10.1123i | −1.08235 | − | 0.358648i | ||||
\(796\) | 12.8274 | + | 14.2463i | 0.454655 | + | 0.504946i | ||||
\(797\) | 6.90639 | − | 9.50583i | 0.244637 | − | 0.336714i | −0.668987 | − | 0.743274i | \(-0.733272\pi\) |
0.913624 | + | 0.406560i | \(0.133272\pi\) | |||||||
\(798\) | 15.5306 | − | 11.5538i | 0.549778 | − | 0.408998i | ||||
\(799\) | −64.0867 | − | 20.8230i | −2.26722 | − | 0.736665i | ||||
\(800\) | −4.39991 | − | 0.935231i | −0.155560 | − | 0.0330654i | ||||
\(801\) | −7.73361 | − | 17.9281i | −0.273254 | − | 0.633458i | ||||
\(802\) | −20.1635 | + | 11.6414i | −0.711996 | + | 0.411071i | ||||
\(803\) | −0.0276529 | − | 1.58955i | −0.000975850 | − | 0.0560940i | ||||
\(804\) | −4.37261 | − | 9.97672i | −0.154210 | − | 0.351852i | ||||
\(805\) | 6.28848 | + | 4.40653i | 0.221640 | + | 0.155310i | ||||
\(806\) | 22.2402 | − | 7.22628i | 0.783378 | − | 0.254535i | ||||
\(807\) | −33.6431 | − | 15.2138i | −1.18429 | − | 0.535553i | ||||
\(808\) | −1.12034 | + | 10.6593i | −0.0394134 | + | 0.374993i | ||||
\(809\) | 4.24113 | − | 40.3516i | 0.149110 | − | 1.41869i | −0.622514 | − | 0.782609i | \(-0.713889\pi\) |
0.771624 | − | 0.636079i | \(-0.219445\pi\) | |||||||
\(810\) | −20.1757 | − | 19.0341i | −0.708901 | − | 0.668790i | ||||
\(811\) | −35.8012 | + | 11.6325i | −1.25715 | + | 0.408473i | −0.860478 | − | 0.509488i | \(-0.829835\pi\) |
−0.396672 | + | 0.917961i | \(0.629835\pi\) | |||||||
\(812\) | −14.9766 | − | 10.4945i | −0.525575 | − | 0.368286i | ||||
\(813\) | −24.8144 | + | 10.8757i | −0.870277 | + | 0.381426i | ||||
\(814\) | 3.24960 | − | 2.44845i | 0.113898 | − | 0.0858182i | ||||
\(815\) | 40.4629 | − | 23.3613i | 1.41735 | − | 0.818310i | ||||
\(816\) | 0.0659016 | − | 11.3359i | 0.00230702 | − | 0.396835i | ||||
\(817\) | 5.15393 | + | 1.09550i | 0.180313 | + | 0.0383268i | ||||
\(818\) | 7.28408 | + | 2.36674i | 0.254682 | + | 0.0827511i | ||||
\(819\) | −21.7785 | − | 12.4153i | −0.761001 | − | 0.433826i | ||||
\(820\) | 4.62316 | − | 6.36324i | 0.161448 | − | 0.222214i | ||||
\(821\) | −23.0487 | − | 25.5982i | −0.804406 | − | 0.893383i | 0.191709 | − | 0.981452i | \(-0.438597\pi\) |
−0.996114 | + | 0.0880689i | \(0.971930\pi\) | |||||||
\(822\) | 7.58908 | − | 22.9029i | 0.264699 | − | 0.798829i | ||||
\(823\) | 21.7047 | + | 9.66356i | 0.756579 | + | 0.336851i | 0.748516 | − | 0.663117i | \(-0.230767\pi\) |
0.00806310 | + | 0.999967i | \(0.497433\pi\) | |||||||
\(824\) | 0.329135 | − | 0.570079i | 0.0114660 | − | 0.0198596i | ||||
\(825\) | 24.4814 | − | 8.26916i | 0.852334 | − | 0.287895i | ||||
\(826\) | 5.71358 | − | 29.3389i | 0.198801 | − | 1.02083i | ||||
\(827\) | −16.7875 | + | 12.1969i | −0.583760 | + | 0.424126i | −0.840078 | − | 0.542466i | \(-0.817491\pi\) |
0.256318 | + | 0.966593i | \(0.417491\pi\) | |||||||
\(828\) | −1.63389 | − | 2.30474i | −0.0567815 | − | 0.0800951i | ||||
\(829\) | −44.6026 | + | 9.48057i | −1.54911 | + | 0.329274i | −0.901528 | − | 0.432721i | \(-0.857554\pi\) |
−0.647584 | + | 0.761994i | \(0.724220\pi\) | |||||||
\(830\) | 37.6287 | + | 3.95494i | 1.30611 | + | 0.137278i | ||||
\(831\) | −5.89264 | + | 6.46841i | −0.204413 | + | 0.224387i | ||||
\(832\) | 3.00378 | + | 0.975988i | 0.104137 | + | 0.0338363i | ||||
\(833\) | 41.1916 | − | 20.0547i | 1.42721 | − | 0.694855i | ||||
\(834\) | 13.9426 | − | 23.8284i | 0.482794 | − | 0.825108i | ||||
\(835\) | −21.4691 | − | 12.3952i | −0.742969 | − | 0.428954i | ||||
\(836\) | 2.67394 | − | 13.7519i | 0.0924801 | − | 0.475621i | ||||
\(837\) | −7.34142 | − | 37.7657i | −0.253757 | − | 1.30537i | ||||
\(838\) | 1.40234 | − | 0.147391i | 0.0484429 | − | 0.00509155i | ||||
\(839\) | −11.1698 | + | 3.62928i | −0.385624 | + | 0.125297i | −0.495412 | − | 0.868658i | \(-0.664983\pi\) |
0.109788 | + | 0.993955i | \(0.464983\pi\) | |||||||
\(840\) | −1.31761 | + | 14.0615i | −0.0454620 | + | 0.485169i | ||||
\(841\) | −15.1902 | − | 11.0364i | −0.523802 | − | 0.380564i | ||||
\(842\) | −25.9098 | + | 11.5358i | −0.892912 | + | 0.397550i | ||||
\(843\) | −7.55822 | − | 10.5312i | −0.260319 | − | 0.362714i | ||||
\(844\) | 9.23549 | + | 8.31567i | 0.317899 | + | 0.286237i | ||||
\(845\) | 9.27094 | − | 0.974415i | 0.318930 | − | 0.0335209i | ||||
\(846\) | −22.7119 | − | 20.9331i | −0.780852 | − | 0.719696i | ||||
\(847\) | 22.6260 | − | 18.3047i | 0.777440 | − | 0.628957i | ||||
\(848\) | − | 6.02273i | − | 0.206821i | ||||||
\(849\) | −8.13753 | − | 14.2858i | −0.279279 | − | 0.490286i | ||||
\(850\) | 19.6994 | − | 21.8784i | 0.675684 | − | 0.750423i | ||||
\(851\) | −0.240195 | − | 1.13003i | −0.00823376 | − | 0.0387368i | ||||
\(852\) | 12.0258 | − | 13.2009i | 0.411997 | − | 0.452254i | ||||
\(853\) | 20.6310 | − | 28.3961i | 0.706391 | − | 0.972264i | −0.293476 | − | 0.955966i | \(-0.594812\pi\) |
0.999867 | − | 0.0162977i | \(-0.00518794\pi\) | |||||||
\(854\) | 0.403488 | + | 23.5900i | 0.0138071 | + | 0.807232i | ||||
\(855\) | −35.4907 | − | 16.2985i | −1.21376 | − | 0.557398i | ||||
\(856\) | −0.690437 | − | 6.56907i | −0.0235987 | − | 0.224526i | ||||
\(857\) | 12.2401 | + | 21.2004i | 0.418112 | + | 0.724192i | 0.995750 | − | 0.0921019i | \(-0.0293585\pi\) |
−0.577637 | + | 0.816293i | \(0.696025\pi\) | |||||||
\(858\) | −17.7021 | + | 3.97751i | −0.604338 | + | 0.135790i | ||||
\(859\) | −14.9776 | + | 25.9419i | −0.511028 | + | 0.885126i | 0.488891 | + | 0.872345i | \(0.337402\pi\) |
−0.999918 | + | 0.0127809i | \(0.995932\pi\) | |||||||
\(860\) | −3.11019 | + | 2.25969i | −0.106057 | + | 0.0770546i | ||||
\(861\) | −10.1937 | − | 5.73291i | −0.347402 | − | 0.195377i | ||||
\(862\) | 0.777457 | − | 2.39277i | 0.0264803 | − | 0.0814980i | ||||
\(863\) | 10.5892 | + | 23.7838i | 0.360462 | + | 0.809611i | 0.999192 | + | 0.0401804i | \(0.0127933\pi\) |
−0.638730 | + | 0.769431i | \(0.720540\pi\) | |||||||
\(864\) | 2.19593 | − | 4.70934i | 0.0747070 | − | 0.160215i | ||||
\(865\) | −8.88490 | − | 41.8002i | −0.302096 | − | 1.42125i | ||||
\(866\) | 14.4552 | + | 3.07255i | 0.491208 | + | 0.104409i | ||||
\(867\) | 38.6226 | + | 22.5992i | 1.31169 | + | 0.767508i | ||||
\(868\) | −12.8569 | + | 14.7797i | −0.436393 | + | 0.501657i | ||||
\(869\) | 55.1347 | + | 4.82691i | 1.87032 | + | 0.163742i | ||||
\(870\) | −4.07001 | + | 36.6715i | −0.137986 | + | 1.24328i | ||||
\(871\) | −8.07899 | + | 18.1457i | −0.273746 | + | 0.614844i | ||||
\(872\) | 6.36982 | + | 5.73541i | 0.215709 | + | 0.194226i | ||||
\(873\) | 26.4454 | + | 0.307493i | 0.895043 | + | 0.0104071i | ||||
\(874\) | −3.21812 | − | 2.33810i | −0.108854 | − | 0.0790874i | ||||
\(875\) | 2.99337 | − | 2.78940i | 0.101194 | − | 0.0942989i | ||||
\(876\) | −0.0819822 | − | 0.826183i | −0.00276992 | − | 0.0279141i | ||||
\(877\) | −4.67127 | + | 21.9766i | −0.157737 | + | 0.742096i | 0.826171 | + | 0.563420i | \(0.190515\pi\) |
−0.983908 | + | 0.178676i | \(0.942819\pi\) | |||||||
\(878\) | −13.9691 | + | 31.3750i | −0.471433 | + | 1.05886i | ||||
\(879\) | 24.0054 | − | 32.6399i | 0.809683 | − | 1.10092i | ||||
\(880\) | 6.15101 | + | 8.16366i | 0.207351 | + | 0.275197i | ||||
\(881\) | − | 7.69766i | − | 0.259341i | −0.991557 | − | 0.129670i | \(-0.958608\pi\) | ||
0.991557 | − | 0.129670i | \(-0.0413919\pi\) | |||||||
\(882\) | 20.9946 | − | 0.474100i | 0.706927 | − | 0.0159638i | ||||
\(883\) | 15.7346 | + | 48.4262i | 0.529512 | + | 1.62967i | 0.755217 | + | 0.655475i | \(0.227532\pi\) |
−0.225705 | + | 0.974196i | \(0.572468\pi\) | |||||||
\(884\) | −15.3616 | + | 13.8317i | −0.516668 | + | 0.465210i | ||||
\(885\) | −57.4615 | + | 18.3018i | −1.93155 | + | 0.615207i | ||||
\(886\) | 0.431931 | + | 0.0453978i | 0.0145110 | + | 0.00152517i | ||||
\(887\) | −31.6616 | − | 35.1638i | −1.06309 | − | 1.18069i | −0.982944 | − | 0.183903i | \(-0.941127\pi\) |
−0.0801494 | − | 0.996783i | \(-0.525540\pi\) | |||||||
\(888\) | 1.58730 | − | 1.41259i | 0.0532664 | − | 0.0474035i | ||||
\(889\) | 2.44902 | + | 5.25675i | 0.0821374 | + | 0.176306i | ||||
\(890\) | 20.0581 | 0.672350 | ||||||||
\(891\) | 2.94615 | + | 29.7039i | 0.0986999 | + | 0.995117i | ||||
\(892\) | 7.19521 | + | 12.4625i | 0.240913 | + | 0.417274i | ||||
\(893\) | −39.7297 | − | 17.6888i | −1.32950 | − | 0.591933i | ||||
\(894\) | −3.25058 | − | 15.7422i | −0.108716 | − | 0.526499i | ||||
\(895\) | −0.119286 | + | 0.367124i | −0.00398729 | + | 0.0122716i | ||||
\(896\) | −2.57815 | + | 0.594260i | −0.0861299 | + | 0.0198528i | ||||
\(897\) | −1.10035 | + | 5.03270i | −0.0367396 | + | 0.168037i | ||||
\(898\) | −17.7890 | + | 16.0173i | −0.593626 | + | 0.534503i | ||||
\(899\) | −34.2442 | + | 38.0320i | −1.14211 | + | 1.26844i | ||||
\(900\) | 12.3909 | − | 5.34506i | 0.413031 | − | 0.178169i | ||||
\(901\) | 34.1371 | + | 19.7091i | 1.13727 | + | 0.656604i | ||||
\(902\) | −8.24756 | + | 1.90359i | −0.274614 | + | 0.0633827i | ||||
\(903\) | 3.87269 | + | 4.20462i | 0.128875 | + | 0.139921i | ||||
\(904\) | −3.92538 | − | 5.40283i | −0.130556 | − | 0.179695i | ||||
\(905\) | 7.17987 | − | 33.7786i | 0.238667 | − | 1.12284i | ||||
\(906\) | −18.9096 | + | 13.5714i | −0.628231 | + | 0.450880i | ||||
\(907\) | −6.08487 | + | 57.8937i | −0.202045 | + | 1.92233i | 0.154396 | + | 0.988009i | \(0.450657\pi\) |
−0.356440 | + | 0.934318i | \(0.616010\pi\) | |||||||
\(908\) | −14.8046 | + | 6.59145i | −0.491309 | + | 0.218745i | ||||
\(909\) | −15.7522 | − | 28.0313i | −0.522467 | − | 0.929739i | ||||
\(910\) | 20.5729 | − | 15.4915i | 0.681985 | − | 0.513537i | ||||
\(911\) | −12.1683 | − | 16.7483i | −0.403154 | − | 0.554894i | 0.558378 | − | 0.829587i | \(-0.311424\pi\) |
−0.961532 | + | 0.274692i | \(0.911424\pi\) | |||||||
\(912\) | 0.807039 | − | 7.27157i | 0.0267237 | − | 0.240786i | ||||
\(913\) | −27.7675 | − | 29.7805i | −0.918970 | − | 0.985590i | ||||
\(914\) | 1.33203 | − | 0.769047i | 0.0440596 | − | 0.0254378i | ||||
\(915\) | 41.3621 | − | 23.5609i | 1.36739 | − | 0.778898i | ||||
\(916\) | −2.43963 | − | 7.50842i | −0.0806077 | − | 0.248085i | ||||
\(917\) | 15.3606 | + | 25.5846i | 0.507252 | + | 0.844880i | ||||
\(918\) | 19.5067 | + | 27.8577i | 0.643816 | + | 0.919440i | ||||
\(919\) | 4.11659 | + | 9.24602i | 0.135794 | + | 0.304998i | 0.968624 | − | 0.248531i | \(-0.0799476\pi\) |
−0.832830 | + | 0.553529i | \(0.813281\pi\) | |||||||
\(920\) | 2.83886 | − | 0.603418i | 0.0935943 | − | 0.0198941i | ||||
\(921\) | −17.9441 | + | 54.1531i | −0.591279 | + | 1.78441i | ||||
\(922\) | 2.78811 | + | 26.5270i | 0.0918214 | + | 0.873622i | ||||
\(923\) | −32.5624 | −1.07181 | ||||||||
\(924\) | 10.9985 | − | 10.4897i | 0.361824 | − | 0.345084i | ||||
\(925\) | 5.51831 | 0.181441 | ||||||||
\(926\) | −2.26830 | − | 21.5815i | −0.0745411 | − | 0.709211i | ||||
\(927\) | 0.183575 | + | 1.96626i | 0.00602941 | + | 0.0645805i | ||||
\(928\) | −6.76099 | + | 1.43709i | −0.221940 | + | 0.0471749i | ||||
\(929\) | 21.6246 | + | 48.5696i | 0.709480 | + | 1.59352i | 0.801663 | + | 0.597776i | \(0.203949\pi\) |
−0.0921829 | + | 0.995742i | \(0.529384\pi\) | |||||||
\(930\) | 38.6111 | + | 8.44194i | 1.26611 | + | 0.276822i | ||||
\(931\) | 27.7920 | − | 10.0934i | 0.910848 | − | 0.330798i | ||||
\(932\) | 4.56072 | + | 14.0364i | 0.149391 | + | 0.459779i | ||||
\(933\) | 25.8780 | + | 45.4298i | 0.847206 | + | 1.48731i | ||||
\(934\) | 31.4165 | − | 18.1383i | 1.02798 | − | 0.593504i | ||||
\(935\) | −66.4008 | + | 8.14906i | −2.17154 | + | 0.266503i | ||||
\(936\) | −9.04478 | + | 2.82299i | −0.295638 | + | 0.0922724i | ||||
\(937\) | 18.8079 | + | 25.8869i | 0.614428 | + | 0.845688i | 0.996933 | − | 0.0782658i | \(-0.0249383\pi\) |
−0.382504 | + | 0.923954i | \(0.624938\pi\) | |||||||
\(938\) | −2.02201 | − | 16.5158i | −0.0660209 | − | 0.539261i | ||||
\(939\) | −12.6803 | + | 1.25826i | −0.413805 | + | 0.0410619i | ||||
\(940\) | 28.9875 | − | 12.9060i | 0.945467 | − | 0.420949i | ||||
\(941\) | 2.16084 | − | 20.5590i | 0.0704414 | − | 0.670205i | −0.901145 | − | 0.433518i | \(-0.857272\pi\) |
0.971586 | − | 0.236686i | \(-0.0760614\pi\) | |||||||
\(942\) | −7.92330 | − | 11.0399i | −0.258155 | − | 0.359699i | ||||
\(943\) | −0.499685 | + | 2.35083i | −0.0162720 | + | 0.0765537i | ||||
\(944\) | −6.64043 | − | 9.13976i | −0.216127 | − | 0.297474i | ||||
\(945\) | −21.1723 | − | 36.7001i | −0.688734 | − | 1.19385i | ||||
\(946\) | 4.12142 | + | 0.360820i | 0.133999 | + | 0.0117313i | ||||
\(947\) | −12.8536 | − | 7.42105i | −0.417687 | − | 0.241152i | 0.276400 | − | 0.961043i | \(-0.410858\pi\) |
−0.694087 | + | 0.719891i | \(0.744192\pi\) | |||||||
\(948\) | 28.9028 | + | 0.168028i | 0.938720 | + | 0.00545728i | ||||
\(949\) | −1.01302 | + | 1.12507i | −0.0328839 | + | 0.0365213i | ||||
\(950\) | 14.1201 | − | 12.7138i | 0.458118 | − | 0.412491i | ||||
\(951\) | 8.62926 | + | 1.88670i | 0.279823 | + | 0.0611806i | ||||
\(952\) | 5.06856 | − | 16.5577i | 0.164273 | − | 0.536639i | ||||
\(953\) | −2.80251 | + | 8.62523i | −0.0907822 | + | 0.279399i | −0.986132 | − | 0.165966i | \(-0.946926\pi\) |
0.895349 | + | 0.445364i | \(0.146926\pi\) | |||||||
\(954\) | 10.4495 | + | 14.7400i | 0.338317 | + | 0.477224i | ||||
\(955\) | −45.3516 | − | 20.1918i | −1.46754 | − | 0.653392i | ||||
\(956\) | 0.658321 | + | 1.14024i | 0.0212916 | + | 0.0368782i | ||||
\(957\) | 29.1981 | − | 26.9089i | 0.943840 | − | 0.869840i | ||||
\(958\) | −5.92057 | −0.191285 | ||||||||
\(959\) | 21.1499 | − | 30.1827i | 0.682967 | − | 0.974651i | ||||
\(960\) | 3.54872 | + | 3.98763i | 0.114535 | + | 0.128700i | ||||
\(961\) | 15.9389 | + | 17.7019i | 0.514157 | + | 0.571029i | ||||
\(962\) | −3.85339 | − | 0.405007i | −0.124238 | − | 0.0130580i | ||||
\(963\) | 13.0872 | + | 14.8792i | 0.421730 | + | 0.479474i | ||||
\(964\) | 12.8553 | − | 11.5750i | 0.414041 | − | 0.372804i | ||||
\(965\) | 5.12571 | + | 15.7753i | 0.165003 | + | 0.507826i | ||||
\(966\) | −1.37980 | − | 4.08894i | −0.0443943 | − | 0.131559i | ||||
\(967\) | 20.1273i | 0.647250i | 0.946185 | + | 0.323625i | \(0.104902\pi\) | ||||
−0.946185 | + | 0.323625i | \(0.895098\pi\) | |||||||
\(968\) | 0.768602 | − | 10.9731i | 0.0247038 | − | 0.352689i | ||||
\(969\) | 38.5745 | + | 28.3701i | 1.23919 | + | 0.911380i | ||||
\(970\) | −11.0508 | + | 24.8205i | −0.354819 | + | 0.796937i | ||||
\(971\) | −3.99296 | + | 18.7854i | −0.128140 | + | 0.602851i | 0.866476 | + | 0.499219i | \(0.166380\pi\) |
−0.994616 | + | 0.103632i | \(0.966954\pi\) | |||||||
\(972\) | 2.79650 | + | 15.3356i | 0.0896979 | + | 0.491888i | ||||
\(973\) | 30.8524 | − | 28.7501i | 0.989082 | − | 0.921685i | ||||
\(974\) | 1.47582 | + | 1.07225i | 0.0472885 | + | 0.0343571i | ||||
\(975\) | −22.4212 | − | 10.1392i | −0.718055 | − | 0.324713i | ||||
\(976\) | 6.62698 | + | 5.96696i | 0.212124 | + | 0.190998i | ||||
\(977\) | 11.3042 | − | 25.3896i | 0.361653 | − | 0.812286i | −0.637472 | − | 0.770473i | \(-0.720020\pi\) |
0.999125 | − | 0.0418131i | \(-0.0133134\pi\) | |||||||
\(978\) | −26.0980 | − | 2.89650i | −0.834523 | − | 0.0926200i | ||||
\(979\) | −16.2901 | − | 14.1624i | −0.520634 | − | 0.452634i | ||||
\(980\) | −8.09557 | + | 19.9969i | −0.258604 | + | 0.638776i | ||||
\(981\) | −25.5405 | − | 2.98503i | −0.815445 | − | 0.0953047i | ||||
\(982\) | −14.9644 | − | 3.18079i | −0.477534 | − | 0.101503i | ||||
\(983\) | 4.58218 | + | 21.5574i | 0.146149 | + | 0.687576i | 0.988816 | + | 0.149141i | \(0.0476508\pi\) |
−0.842667 | + | 0.538435i | \(0.819016\pi\) | |||||||
\(984\) | −4.21191 | + | 1.34151i | −0.134271 | + | 0.0427658i | ||||
\(985\) | −26.5211 | − | 59.5675i | −0.845034 | − | 1.89798i | ||||
\(986\) | 13.9795 | − | 43.0243i | 0.445197 | − | 1.37017i | ||||
\(987\) | −24.0503 | − | 40.5912i | −0.765531 | − | 1.29203i | ||||
\(988\) | −10.7931 | + | 7.84164i | −0.343374 | + | 0.249476i | ||||
\(989\) | 0.587349 | − | 1.01732i | 0.0186766 | − | 0.0323489i | ||||
\(990\) | −29.2180 | − | 9.30753i | −0.928610 | − | 0.295813i | ||||
\(991\) | 23.8211 | + | 41.2593i | 0.756701 | + | 1.31065i | 0.944524 | + | 0.328442i | \(0.106524\pi\) |
−0.187823 | + | 0.982203i | \(0.560143\pi\) | |||||||
\(992\) | 0.773936 | + | 7.36351i | 0.0245725 | + | 0.233792i | ||||
\(993\) | 29.3602 | − | 26.1286i | 0.931717 | − | 0.829165i | ||||
\(994\) | 23.3863 | − | 14.0407i | 0.741767 | − | 0.445345i | ||||
\(995\) | 34.7270 | − | 47.7976i | 1.10092 | − | 1.51529i | ||||
\(996\) | −15.7192 | − | 14.3200i | −0.498083 | − | 0.453747i | ||||
\(997\) | −0.0746478 | − | 0.351190i | −0.00236412 | − | 0.0111223i | 0.976950 | − | 0.213469i | \(-0.0684764\pi\) |
−0.979314 | + | 0.202347i | \(0.935143\pi\) | |||||||
\(998\) | −27.6948 | + | 30.7582i | −0.876664 | + | 0.973634i | ||||
\(999\) | −1.43388 | + | 6.21117i | −0.0453658 | + | 0.196513i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 462.2.bc.a.107.1 | yes | 128 | |
3.2 | odd | 2 | 462.2.bc.b.107.10 | yes | 128 | ||
7.4 | even | 3 | inner | 462.2.bc.a.305.9 | yes | 128 | |
11.7 | odd | 10 | 462.2.bc.b.359.13 | yes | 128 | ||
21.11 | odd | 6 | 462.2.bc.b.305.13 | yes | 128 | ||
33.29 | even | 10 | inner | 462.2.bc.a.359.9 | yes | 128 | |
77.18 | odd | 30 | 462.2.bc.b.95.10 | yes | 128 | ||
231.95 | even | 30 | inner | 462.2.bc.a.95.1 | ✓ | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bc.a.95.1 | ✓ | 128 | 231.95 | even | 30 | inner | |
462.2.bc.a.107.1 | yes | 128 | 1.1 | even | 1 | trivial | |
462.2.bc.a.305.9 | yes | 128 | 7.4 | even | 3 | inner | |
462.2.bc.a.359.9 | yes | 128 | 33.29 | even | 10 | inner | |
462.2.bc.b.95.10 | yes | 128 | 77.18 | odd | 30 | ||
462.2.bc.b.107.10 | yes | 128 | 3.2 | odd | 2 | ||
462.2.bc.b.305.13 | yes | 128 | 21.11 | odd | 6 | ||
462.2.bc.b.359.13 | yes | 128 | 11.7 | odd | 10 |