Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(429,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.429");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.c (of order \(3\), degree \(2\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 429.3 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.429 |
Dual form | 722.2.c.l.653.3 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0.766044 | − | 1.32683i | 0.442276 | − | 0.766044i | −0.555582 | − | 0.831462i | \(-0.687505\pi\) |
0.997858 | + | 0.0654173i | \(0.0208378\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.00000 | + | 1.73205i | −0.447214 | + | 0.774597i | −0.998203 | − | 0.0599153i | \(-0.980917\pi\) |
0.550990 | + | 0.834512i | \(0.314250\pi\) | |||||||
\(6\) | −0.766044 | − | 1.32683i | −0.312736 | − | 0.541675i | ||||
\(7\) | 2.69459 | 1.01846 | 0.509230 | − | 0.860630i | \(-0.329930\pi\) | ||||
0.509230 | + | 0.860630i | \(0.329930\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0.326352 | + | 0.565258i | 0.108784 | + | 0.188419i | ||||
\(10\) | 1.00000 | + | 1.73205i | 0.316228 | + | 0.547723i | ||||
\(11\) | 3.18479 | 0.960251 | 0.480126 | − | 0.877200i | \(-0.340591\pi\) | ||||
0.480126 | + | 0.877200i | \(0.340591\pi\) | |||||||
\(12\) | −1.53209 | −0.442276 | ||||||||
\(13\) | −2.87939 | − | 4.98724i | −0.798598 | − | 1.38321i | −0.920529 | − | 0.390673i | \(-0.872242\pi\) |
0.121932 | − | 0.992539i | \(-0.461091\pi\) | |||||||
\(14\) | 1.34730 | − | 2.33359i | 0.360080 | − | 0.623677i | ||||
\(15\) | 1.53209 | + | 2.65366i | 0.395584 | + | 0.685171i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.25877 | − | 5.64436i | 0.790368 | − | 1.36896i | −0.135371 | − | 0.990795i | \(-0.543223\pi\) |
0.925739 | − | 0.378162i | \(-0.123444\pi\) | |||||||
\(18\) | 0.652704 | 0.153844 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | 2.06418 | − | 3.57526i | 0.450441 | − | 0.780186i | ||||
\(22\) | 1.59240 | − | 2.75811i | 0.339500 | − | 0.588031i | ||||
\(23\) | 0.347296 | + | 0.601535i | 0.0724163 | + | 0.125429i | 0.899960 | − | 0.435973i | \(-0.143596\pi\) |
−0.827544 | + | 0.561402i | \(0.810262\pi\) | |||||||
\(24\) | −0.766044 | + | 1.32683i | −0.156368 | + | 0.270838i | ||||
\(25\) | 0.500000 | + | 0.866025i | 0.100000 | + | 0.173205i | ||||
\(26\) | −5.75877 | −1.12939 | ||||||||
\(27\) | 5.59627 | 1.07700 | ||||||||
\(28\) | −1.34730 | − | 2.33359i | −0.254615 | − | 0.441006i | ||||
\(29\) | −1.41147 | − | 2.44474i | −0.262104 | − | 0.453978i | 0.704697 | − | 0.709509i | \(-0.251083\pi\) |
−0.966801 | + | 0.255531i | \(0.917750\pi\) | |||||||
\(30\) | 3.06418 | 0.559440 | ||||||||
\(31\) | −2.45336 | −0.440637 | −0.220319 | − | 0.975428i | \(-0.570710\pi\) | ||||
−0.220319 | + | 0.975428i | \(0.570710\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 2.43969 | − | 4.22567i | 0.424696 | − | 0.735595i | ||||
\(34\) | −3.25877 | − | 5.64436i | −0.558875 | − | 0.967999i | ||||
\(35\) | −2.69459 | + | 4.66717i | −0.455469 | + | 0.788896i | ||||
\(36\) | 0.326352 | − | 0.565258i | 0.0543920 | − | 0.0942097i | ||||
\(37\) | 4.36959 | 0.718355 | 0.359178 | − | 0.933269i | \(-0.383057\pi\) | ||||
0.359178 | + | 0.933269i | \(0.383057\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.82295 | −1.41280 | ||||||||
\(40\) | 1.00000 | − | 1.73205i | 0.158114 | − | 0.273861i | ||||
\(41\) | −0.173648 | + | 0.300767i | −0.0271193 | + | 0.0469720i | −0.879267 | − | 0.476330i | \(-0.841967\pi\) |
0.852147 | + | 0.523302i | \(0.175300\pi\) | |||||||
\(42\) | −2.06418 | − | 3.57526i | −0.318510 | − | 0.551675i | ||||
\(43\) | −3.03209 | + | 5.25173i | −0.462389 | + | 0.800882i | −0.999079 | − | 0.0428977i | \(-0.986341\pi\) |
0.536690 | + | 0.843779i | \(0.319674\pi\) | |||||||
\(44\) | −1.59240 | − | 2.75811i | −0.240063 | − | 0.415801i | ||||
\(45\) | −1.30541 | −0.194599 | ||||||||
\(46\) | 0.694593 | 0.102412 | ||||||||
\(47\) | −3.94356 | − | 6.83045i | −0.575228 | − | 0.996324i | −0.996017 | − | 0.0891652i | \(-0.971580\pi\) |
0.420789 | − | 0.907159i | \(-0.361753\pi\) | |||||||
\(48\) | 0.766044 | + | 1.32683i | 0.110569 | + | 0.191511i | ||||
\(49\) | 0.260830 | 0.0372614 | ||||||||
\(50\) | 1.00000 | 0.141421 | ||||||||
\(51\) | −4.99273 | − | 8.64766i | −0.699121 | − | 1.21091i | ||||
\(52\) | −2.87939 | + | 4.98724i | −0.399299 | + | 0.691606i | ||||
\(53\) | 4.10607 | + | 7.11192i | 0.564012 | + | 0.976897i | 0.997141 | + | 0.0755650i | \(0.0240760\pi\) |
−0.433129 | + | 0.901332i | \(0.642591\pi\) | |||||||
\(54\) | 2.79813 | − | 4.84651i | 0.380778 | − | 0.659526i | ||||
\(55\) | −3.18479 | + | 5.51622i | −0.429437 | + | 0.743807i | ||||
\(56\) | −2.69459 | −0.360080 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.82295 | −0.370671 | ||||||||
\(59\) | 0.286989 | − | 0.497079i | 0.0373628 | − | 0.0647142i | −0.846739 | − | 0.532008i | \(-0.821438\pi\) |
0.884102 | + | 0.467294i | \(0.154771\pi\) | |||||||
\(60\) | 1.53209 | − | 2.65366i | 0.197792 | − | 0.342585i | ||||
\(61\) | −1.46791 | − | 2.54250i | −0.187947 | − | 0.325533i | 0.756619 | − | 0.653856i | \(-0.226850\pi\) |
−0.944566 | + | 0.328323i | \(0.893517\pi\) | |||||||
\(62\) | −1.22668 | + | 2.12467i | −0.155789 | + | 0.269834i | ||||
\(63\) | 0.879385 | + | 1.52314i | 0.110792 | + | 0.191898i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 11.5175 | 1.42858 | ||||||||
\(66\) | −2.43969 | − | 4.22567i | −0.300305 | − | 0.520144i | ||||
\(67\) | −2.47906 | − | 4.29385i | −0.302865 | − | 0.524577i | 0.673919 | − | 0.738805i | \(-0.264610\pi\) |
−0.976784 | + | 0.214228i | \(0.931276\pi\) | |||||||
\(68\) | −6.51754 | −0.790368 | ||||||||
\(69\) | 1.06418 | 0.128112 | ||||||||
\(70\) | 2.69459 | + | 4.66717i | 0.322065 | + | 0.557834i | ||||
\(71\) | −4.22668 | + | 7.32083i | −0.501615 | + | 0.868822i | 0.498383 | + | 0.866957i | \(0.333927\pi\) |
−0.999998 | + | 0.00186564i | \(0.999406\pi\) | |||||||
\(72\) | −0.326352 | − | 0.565258i | −0.0384609 | − | 0.0666163i | ||||
\(73\) | −7.88326 | + | 13.6542i | −0.922665 | + | 1.59810i | −0.127392 | + | 0.991852i | \(0.540661\pi\) |
−0.795274 | + | 0.606251i | \(0.792673\pi\) | |||||||
\(74\) | 2.18479 | − | 3.78417i | 0.253977 | − | 0.439901i | ||||
\(75\) | 1.53209 | 0.176910 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.58172 | 0.977978 | ||||||||
\(78\) | −4.41147 | + | 7.64090i | −0.499501 | + | 0.865161i | ||||
\(79\) | −4.53209 | + | 7.84981i | −0.509900 | + | 0.883172i | 0.490034 | + | 0.871703i | \(0.336984\pi\) |
−0.999934 | + | 0.0114693i | \(0.996349\pi\) | |||||||
\(80\) | −1.00000 | − | 1.73205i | −0.111803 | − | 0.193649i | ||||
\(81\) | 3.30793 | − | 5.72951i | 0.367548 | − | 0.636612i | ||||
\(82\) | 0.173648 | + | 0.300767i | 0.0191762 | + | 0.0332142i | ||||
\(83\) | 8.47565 | 0.930324 | 0.465162 | − | 0.885226i | \(-0.345996\pi\) | ||||
0.465162 | + | 0.885226i | \(0.345996\pi\) | |||||||
\(84\) | −4.12836 | −0.450441 | ||||||||
\(85\) | 6.51754 | + | 11.2887i | 0.706927 | + | 1.22443i | ||||
\(86\) | 3.03209 | + | 5.25173i | 0.326959 | + | 0.566309i | ||||
\(87\) | −4.32501 | −0.463689 | ||||||||
\(88\) | −3.18479 | −0.339500 | ||||||||
\(89\) | 3.86959 | + | 6.70232i | 0.410175 | + | 0.710444i | 0.994909 | − | 0.100781i | \(-0.0321342\pi\) |
−0.584733 | + | 0.811226i | \(0.698801\pi\) | |||||||
\(90\) | −0.652704 | + | 1.13052i | −0.0688010 | + | 0.119167i | ||||
\(91\) | −7.75877 | − | 13.4386i | −0.813340 | − | 1.40875i | ||||
\(92\) | 0.347296 | − | 0.601535i | 0.0362081 | − | 0.0627144i | ||||
\(93\) | −1.87939 | + | 3.25519i | −0.194883 | + | 0.337548i | ||||
\(94\) | −7.88713 | −0.813495 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.53209 | 0.156368 | ||||||||
\(97\) | −0.173648 | + | 0.300767i | −0.0176313 | + | 0.0305383i | −0.874706 | − | 0.484653i | \(-0.838946\pi\) |
0.857075 | + | 0.515191i | \(0.172279\pi\) | |||||||
\(98\) | 0.130415 | − | 0.225885i | 0.0131739 | − | 0.0228179i | ||||
\(99\) | 1.03936 | + | 1.80023i | 0.104460 | + | 0.180930i | ||||
\(100\) | 0.500000 | − | 0.866025i | 0.0500000 | − | 0.0866025i | ||||
\(101\) | 0.184793 | + | 0.320070i | 0.0183875 | + | 0.0318482i | 0.875073 | − | 0.483991i | \(-0.160813\pi\) |
−0.856685 | + | 0.515840i | \(0.827480\pi\) | |||||||
\(102\) | −9.98545 | −0.988707 | ||||||||
\(103\) | −8.58172 | −0.845582 | −0.422791 | − | 0.906227i | \(-0.638950\pi\) | ||||
−0.422791 | + | 0.906227i | \(0.638950\pi\) | |||||||
\(104\) | 2.87939 | + | 4.98724i | 0.282347 | + | 0.489039i | ||||
\(105\) | 4.12836 | + | 7.15052i | 0.402886 | + | 0.697819i | ||||
\(106\) | 8.21213 | 0.797633 | ||||||||
\(107\) | 11.4534 | 1.10724 | 0.553619 | − | 0.832770i | \(-0.313246\pi\) | ||||
0.553619 | + | 0.832770i | \(0.313246\pi\) | |||||||
\(108\) | −2.79813 | − | 4.84651i | −0.269251 | − | 0.466356i | ||||
\(109\) | 4.34730 | − | 7.52974i | 0.416395 | − | 0.721218i | −0.579178 | − | 0.815201i | \(-0.696627\pi\) |
0.995574 | + | 0.0939827i | \(0.0299599\pi\) | |||||||
\(110\) | 3.18479 | + | 5.51622i | 0.303658 | + | 0.525951i | ||||
\(111\) | 3.34730 | − | 5.79769i | 0.317711 | − | 0.550292i | ||||
\(112\) | −1.34730 | + | 2.33359i | −0.127308 | + | 0.220503i | ||||
\(113\) | −2.85978 | −0.269026 | −0.134513 | − | 0.990912i | \(-0.542947\pi\) | ||||
−0.134513 | + | 0.990912i | \(0.542947\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.38919 | −0.129542 | ||||||||
\(116\) | −1.41147 | + | 2.44474i | −0.131052 | + | 0.226989i | ||||
\(117\) | 1.87939 | − | 3.25519i | 0.173749 | − | 0.300942i | ||||
\(118\) | −0.286989 | − | 0.497079i | −0.0264195 | − | 0.0457599i | ||||
\(119\) | 8.78106 | − | 15.2092i | 0.804958 | − | 1.39423i | ||||
\(120\) | −1.53209 | − | 2.65366i | −0.139860 | − | 0.242245i | ||||
\(121\) | −0.857097 | −0.0779179 | ||||||||
\(122\) | −2.93582 | −0.265797 | ||||||||
\(123\) | 0.266044 | + | 0.460802i | 0.0239884 | + | 0.0415492i | ||||
\(124\) | 1.22668 | + | 2.12467i | 0.110159 | + | 0.190801i | ||||
\(125\) | −12.0000 | −1.07331 | ||||||||
\(126\) | 1.75877 | 0.156684 | ||||||||
\(127\) | 4.86484 | + | 8.42615i | 0.431685 | + | 0.747699i | 0.997019 | − | 0.0771626i | \(-0.0245861\pi\) |
−0.565334 | + | 0.824862i | \(0.691253\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 4.64543 | + | 8.04612i | 0.409007 | + | 0.708421i | ||||
\(130\) | 5.75877 | − | 9.97448i | 0.505078 | − | 0.874820i | ||||
\(131\) | 3.23396 | − | 5.60138i | 0.282552 | − | 0.489394i | −0.689461 | − | 0.724323i | \(-0.742152\pi\) |
0.972013 | + | 0.234929i | \(0.0754857\pi\) | |||||||
\(132\) | −4.87939 | −0.424696 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.95811 | −0.428316 | ||||||||
\(135\) | −5.59627 | + | 9.69302i | −0.481650 | + | 0.834242i | ||||
\(136\) | −3.25877 | + | 5.64436i | −0.279437 | + | 0.484000i | ||||
\(137\) | 5.83022 | + | 10.0982i | 0.498109 | + | 0.862751i | 0.999998 | − | 0.00218159i | \(-0.000694422\pi\) |
−0.501888 | + | 0.864933i | \(0.667361\pi\) | |||||||
\(138\) | 0.532089 | − | 0.921605i | 0.0452944 | − | 0.0784522i | ||||
\(139\) | 4.13176 | + | 7.15642i | 0.350451 | + | 0.606999i | 0.986329 | − | 0.164791i | \(-0.0526949\pi\) |
−0.635877 | + | 0.771790i | \(0.719362\pi\) | |||||||
\(140\) | 5.38919 | 0.455469 | ||||||||
\(141\) | −12.0838 | −1.01764 | ||||||||
\(142\) | 4.22668 | + | 7.32083i | 0.354695 | + | 0.614350i | ||||
\(143\) | −9.17024 | − | 15.8833i | −0.766854 | − | 1.32823i | ||||
\(144\) | −0.652704 | −0.0543920 | ||||||||
\(145\) | 5.64590 | 0.468866 | ||||||||
\(146\) | 7.88326 | + | 13.6542i | 0.652423 | + | 1.13003i | ||||
\(147\) | 0.199807 | − | 0.346076i | 0.0164798 | − | 0.0285439i | ||||
\(148\) | −2.18479 | − | 3.78417i | −0.179589 | − | 0.311057i | ||||
\(149\) | 8.22668 | − | 14.2490i | 0.673956 | − | 1.16733i | −0.302817 | − | 0.953049i | \(-0.597927\pi\) |
0.976773 | − | 0.214277i | \(-0.0687396\pi\) | |||||||
\(150\) | 0.766044 | − | 1.32683i | 0.0625473 | − | 0.108335i | ||||
\(151\) | −4.65539 | −0.378850 | −0.189425 | − | 0.981895i | \(-0.560662\pi\) | ||||
−0.189425 | + | 0.981895i | \(0.560662\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.25402 | 0.343917 | ||||||||
\(154\) | 4.29086 | − | 7.43199i | 0.345767 | − | 0.598887i | ||||
\(155\) | 2.45336 | − | 4.24935i | 0.197059 | − | 0.341316i | ||||
\(156\) | 4.41147 | + | 7.64090i | 0.353201 | + | 0.611761i | ||||
\(157\) | −4.22668 | + | 7.32083i | −0.337326 | + | 0.584266i | −0.983929 | − | 0.178561i | \(-0.942856\pi\) |
0.646603 | + | 0.762827i | \(0.276189\pi\) | |||||||
\(158\) | 4.53209 | + | 7.84981i | 0.360554 | + | 0.624497i | ||||
\(159\) | 12.5817 | 0.997795 | ||||||||
\(160\) | −2.00000 | −0.158114 | ||||||||
\(161\) | 0.935822 | + | 1.62089i | 0.0737531 | + | 0.127744i | ||||
\(162\) | −3.30793 | − | 5.72951i | −0.259896 | − | 0.450153i | ||||
\(163\) | 17.0496 | 1.33543 | 0.667715 | − | 0.744417i | \(-0.267272\pi\) | ||||
0.667715 | + | 0.744417i | \(0.267272\pi\) | |||||||
\(164\) | 0.347296 | 0.0271193 | ||||||||
\(165\) | 4.87939 | + | 8.45134i | 0.379860 | + | 0.657936i | ||||
\(166\) | 4.23783 | − | 7.34013i | 0.328919 | − | 0.569705i | ||||
\(167\) | −1.59627 | − | 2.76481i | −0.123523 | − | 0.213948i | 0.797632 | − | 0.603145i | \(-0.206086\pi\) |
−0.921155 | + | 0.389197i | \(0.872753\pi\) | |||||||
\(168\) | −2.06418 | + | 3.57526i | −0.159255 | + | 0.275837i | ||||
\(169\) | −10.0817 | + | 17.4620i | −0.775517 | + | 1.34323i | ||||
\(170\) | 13.0351 | 0.999745 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.06418 | 0.462389 | ||||||||
\(173\) | 4.81521 | − | 8.34018i | 0.366093 | − | 0.634092i | −0.622858 | − | 0.782335i | \(-0.714028\pi\) |
0.988951 | + | 0.148243i | \(0.0473617\pi\) | |||||||
\(174\) | −2.16250 | + | 3.74557i | −0.163939 | + | 0.283951i | ||||
\(175\) | 1.34730 | + | 2.33359i | 0.101846 | + | 0.176403i | ||||
\(176\) | −1.59240 | + | 2.75811i | −0.120031 | + | 0.207900i | ||||
\(177\) | −0.439693 | − | 0.761570i | −0.0330493 | − | 0.0572431i | ||||
\(178\) | 7.73917 | 0.580075 | ||||||||
\(179\) | −18.8161 | −1.40638 | −0.703192 | − | 0.711000i | \(-0.748243\pi\) | ||||
−0.703192 | + | 0.711000i | \(0.748243\pi\) | |||||||
\(180\) | 0.652704 | + | 1.13052i | 0.0486497 | + | 0.0842637i | ||||
\(181\) | 1.38919 | + | 2.40614i | 0.103257 | + | 0.178847i | 0.913025 | − | 0.407904i | \(-0.133740\pi\) |
−0.809768 | + | 0.586751i | \(0.800407\pi\) | |||||||
\(182\) | −15.5175 | −1.15024 | ||||||||
\(183\) | −4.49794 | −0.332497 | ||||||||
\(184\) | −0.347296 | − | 0.601535i | −0.0256030 | − | 0.0443457i | ||||
\(185\) | −4.36959 | + | 7.56834i | −0.321258 | + | 0.556436i | ||||
\(186\) | 1.87939 | + | 3.25519i | 0.137803 | + | 0.238682i | ||||
\(187\) | 10.3785 | − | 17.9761i | 0.758952 | − | 1.31454i | ||||
\(188\) | −3.94356 | + | 6.83045i | −0.287614 | + | 0.498162i | ||||
\(189\) | 15.0797 | 1.09688 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.56212 | 0.691891 | 0.345945 | − | 0.938255i | \(-0.387558\pi\) | ||||
0.345945 | + | 0.938255i | \(0.387558\pi\) | |||||||
\(192\) | 0.766044 | − | 1.32683i | 0.0552845 | − | 0.0957556i | ||||
\(193\) | −11.8405 | + | 20.5083i | −0.852297 | + | 1.47622i | 0.0268330 | + | 0.999640i | \(0.491458\pi\) |
−0.879130 | + | 0.476582i | \(0.841876\pi\) | |||||||
\(194\) | 0.173648 | + | 0.300767i | 0.0124672 | + | 0.0215938i | ||||
\(195\) | 8.82295 | − | 15.2818i | 0.631824 | − | 1.09435i | ||||
\(196\) | −0.130415 | − | 0.225885i | −0.00931535 | − | 0.0161347i | ||||
\(197\) | −22.9222 | −1.63314 | −0.816570 | − | 0.577247i | \(-0.804127\pi\) | ||||
−0.816570 | + | 0.577247i | \(0.804127\pi\) | |||||||
\(198\) | 2.07873 | 0.147729 | ||||||||
\(199\) | −5.04189 | − | 8.73281i | −0.357410 | − | 0.619052i | 0.630117 | − | 0.776500i | \(-0.283007\pi\) |
−0.987527 | + | 0.157448i | \(0.949673\pi\) | |||||||
\(200\) | −0.500000 | − | 0.866025i | −0.0353553 | − | 0.0612372i | ||||
\(201\) | −7.59627 | −0.535799 | ||||||||
\(202\) | 0.369585 | 0.0260039 | ||||||||
\(203\) | −3.80335 | − | 6.58759i | −0.266943 | − | 0.462358i | ||||
\(204\) | −4.99273 | + | 8.64766i | −0.349561 | + | 0.605457i | ||||
\(205\) | −0.347296 | − | 0.601535i | −0.0242562 | − | 0.0420130i | ||||
\(206\) | −4.29086 | + | 7.43199i | −0.298958 | + | 0.517811i | ||||
\(207\) | −0.226682 | + | 0.392624i | −0.0157555 | + | 0.0272893i | ||||
\(208\) | 5.75877 | 0.399299 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.25671 | 0.569767 | ||||||||
\(211\) | −11.1800 | + | 19.3644i | −0.769666 | + | 1.33310i | 0.168078 | + | 0.985774i | \(0.446244\pi\) |
−0.937744 | + | 0.347327i | \(0.887089\pi\) | |||||||
\(212\) | 4.10607 | − | 7.11192i | 0.282006 | − | 0.488448i | ||||
\(213\) | 6.47565 | + | 11.2162i | 0.443704 | + | 0.768518i | ||||
\(214\) | 5.72668 | − | 9.91890i | 0.391468 | − | 0.678042i | ||||
\(215\) | −6.06418 | − | 10.5035i | −0.413573 | − | 0.716330i | ||||
\(216\) | −5.59627 | −0.380778 | ||||||||
\(217\) | −6.61081 | −0.448771 | ||||||||
\(218\) | −4.34730 | − | 7.52974i | −0.294436 | − | 0.509978i | ||||
\(219\) | 12.0778 | + | 20.9194i | 0.816145 | + | 1.41361i | ||||
\(220\) | 6.36959 | 0.429437 | ||||||||
\(221\) | −37.5330 | −2.52474 | ||||||||
\(222\) | −3.34730 | − | 5.79769i | −0.224656 | − | 0.389115i | ||||
\(223\) | −4.63816 | + | 8.03352i | −0.310594 | + | 0.537964i | −0.978491 | − | 0.206289i | \(-0.933861\pi\) |
0.667897 | + | 0.744254i | \(0.267195\pi\) | |||||||
\(224\) | 1.34730 | + | 2.33359i | 0.0900200 | + | 0.155919i | ||||
\(225\) | −0.326352 | + | 0.565258i | −0.0217568 | + | 0.0376839i | ||||
\(226\) | −1.42989 | + | 2.47665i | −0.0951150 | + | 0.164744i | ||||
\(227\) | −7.73648 | −0.513488 | −0.256744 | − | 0.966479i | \(-0.582650\pi\) | ||||
−0.256744 | + | 0.966479i | \(0.582650\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.0351 | −1.52220 | −0.761101 | − | 0.648634i | \(-0.775341\pi\) | ||||
−0.761101 | + | 0.648634i | \(0.775341\pi\) | |||||||
\(230\) | −0.694593 | + | 1.20307i | −0.0458001 | + | 0.0793281i | ||||
\(231\) | 6.57398 | − | 11.3865i | 0.432536 | − | 0.749174i | ||||
\(232\) | 1.41147 | + | 2.44474i | 0.0926678 | + | 0.160505i | ||||
\(233\) | −4.19981 | + | 7.27428i | −0.275139 | + | 0.476554i | −0.970170 | − | 0.242425i | \(-0.922057\pi\) |
0.695032 | + | 0.718979i | \(0.255390\pi\) | |||||||
\(234\) | −1.87939 | − | 3.25519i | −0.122859 | − | 0.212798i | ||||
\(235\) | 15.7743 | 1.02900 | ||||||||
\(236\) | −0.573978 | −0.0373628 | ||||||||
\(237\) | 6.94356 | + | 12.0266i | 0.451033 | + | 0.781212i | ||||
\(238\) | −8.78106 | − | 15.2092i | −0.569192 | − | 0.985869i | ||||
\(239\) | −15.7297 | −1.01747 | −0.508734 | − | 0.860924i | \(-0.669886\pi\) | ||||
−0.508734 | + | 0.860924i | \(0.669886\pi\) | |||||||
\(240\) | −3.06418 | −0.197792 | ||||||||
\(241\) | 8.75150 | + | 15.1580i | 0.563733 | + | 0.976415i | 0.997166 | + | 0.0752291i | \(0.0239688\pi\) |
−0.433433 | + | 0.901186i | \(0.642698\pi\) | |||||||
\(242\) | −0.428548 | + | 0.742267i | −0.0275481 | + | 0.0477148i | ||||
\(243\) | 3.32635 | + | 5.76141i | 0.213386 | + | 0.369595i | ||||
\(244\) | −1.46791 | + | 2.54250i | −0.0939734 | + | 0.162767i | ||||
\(245\) | −0.260830 | + | 0.451771i | −0.0166638 | + | 0.0288626i | ||||
\(246\) | 0.532089 | 0.0339247 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 2.45336 | 0.155789 | ||||||||
\(249\) | 6.49273 | − | 11.2457i | 0.411460 | − | 0.712669i | ||||
\(250\) | −6.00000 | + | 10.3923i | −0.379473 | + | 0.657267i | ||||
\(251\) | −4.28359 | − | 7.41939i | −0.270378 | − | 0.468308i | 0.698581 | − | 0.715531i | \(-0.253815\pi\) |
−0.968959 | + | 0.247223i | \(0.920482\pi\) | |||||||
\(252\) | 0.879385 | − | 1.52314i | 0.0553961 | − | 0.0959488i | ||||
\(253\) | 1.10607 | + | 1.91576i | 0.0695378 | + | 0.120443i | ||||
\(254\) | 9.72967 | 0.610494 | ||||||||
\(255\) | 19.9709 | 1.25063 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −4.01233 | − | 6.94955i | −0.250282 | − | 0.433501i | 0.713321 | − | 0.700837i | \(-0.247190\pi\) |
−0.963603 | + | 0.267336i | \(0.913857\pi\) | |||||||
\(258\) | 9.29086 | 0.578424 | ||||||||
\(259\) | 11.7743 | 0.731616 | ||||||||
\(260\) | −5.75877 | − | 9.97448i | −0.357144 | − | 0.618591i | ||||
\(261\) | 0.921274 | − | 1.59569i | 0.0570254 | − | 0.0987710i | ||||
\(262\) | −3.23396 | − | 5.60138i | −0.199794 | − | 0.346054i | ||||
\(263\) | 2.98040 | − | 5.16220i | 0.183779 | − | 0.318315i | −0.759385 | − | 0.650641i | \(-0.774500\pi\) |
0.943165 | + | 0.332326i | \(0.107833\pi\) | |||||||
\(264\) | −2.43969 | + | 4.22567i | −0.150153 | + | 0.260072i | ||||
\(265\) | −16.4243 | −1.00893 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.8571 | 0.725643 | ||||||||
\(268\) | −2.47906 | + | 4.29385i | −0.151432 | + | 0.262289i | ||||
\(269\) | −0.573978 | + | 0.994159i | −0.0349961 | + | 0.0606149i | −0.882993 | − | 0.469386i | \(-0.844475\pi\) |
0.847997 | + | 0.530001i | \(0.177809\pi\) | |||||||
\(270\) | 5.59627 | + | 9.69302i | 0.340578 | + | 0.589898i | ||||
\(271\) | −10.0273 | + | 17.3679i | −0.609118 | + | 1.05502i | 0.382269 | + | 0.924051i | \(0.375143\pi\) |
−0.991386 | + | 0.130971i | \(0.958190\pi\) | |||||||
\(272\) | 3.25877 | + | 5.64436i | 0.197592 | + | 0.342239i | ||||
\(273\) | −23.7743 | −1.43888 | ||||||||
\(274\) | 11.6604 | 0.704433 | ||||||||
\(275\) | 1.59240 | + | 2.75811i | 0.0960251 | + | 0.166320i | ||||
\(276\) | −0.532089 | − | 0.921605i | −0.0320280 | − | 0.0554741i | ||||
\(277\) | 17.3601 | 1.04307 | 0.521533 | − | 0.853231i | \(-0.325360\pi\) | ||||
0.521533 | + | 0.853231i | \(0.325360\pi\) | |||||||
\(278\) | 8.26352 | 0.495613 | ||||||||
\(279\) | −0.800660 | − | 1.38678i | −0.0479342 | − | 0.0830245i | ||||
\(280\) | 2.69459 | − | 4.66717i | 0.161033 | − | 0.278917i | ||||
\(281\) | 1.46064 | + | 2.52990i | 0.0871343 | + | 0.150921i | 0.906299 | − | 0.422638i | \(-0.138896\pi\) |
−0.819164 | + | 0.573559i | \(0.805562\pi\) | |||||||
\(282\) | −6.04189 | + | 10.4649i | −0.359789 | + | 0.623173i | ||||
\(283\) | 4.74035 | − | 8.21053i | 0.281785 | − | 0.488065i | −0.690040 | − | 0.723772i | \(-0.742407\pi\) |
0.971824 | + | 0.235706i | \(0.0757403\pi\) | |||||||
\(284\) | 8.45336 | 0.501615 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −18.3405 | −1.08450 | ||||||||
\(287\) | −0.467911 | + | 0.810446i | −0.0276199 | + | 0.0478391i | ||||
\(288\) | −0.326352 | + | 0.565258i | −0.0192305 | + | 0.0333081i | ||||
\(289\) | −12.7392 | − | 22.0649i | −0.749363 | − | 1.29793i | ||||
\(290\) | 2.82295 | − | 4.88949i | 0.165769 | − | 0.287121i | ||||
\(291\) | 0.266044 | + | 0.460802i | 0.0155958 | + | 0.0270127i | ||||
\(292\) | 15.7665 | 0.922665 | ||||||||
\(293\) | 27.2918 | 1.59440 | 0.797202 | − | 0.603713i | \(-0.206313\pi\) | ||||
0.797202 | + | 0.603713i | \(0.206313\pi\) | |||||||
\(294\) | −0.199807 | − | 0.346076i | −0.0116530 | − | 0.0201836i | ||||
\(295\) | 0.573978 | + | 0.994159i | 0.0334183 | + | 0.0578822i | ||||
\(296\) | −4.36959 | −0.253977 | ||||||||
\(297\) | 17.8229 | 1.03419 | ||||||||
\(298\) | −8.22668 | − | 14.2490i | −0.476559 | − | 0.825424i | ||||
\(299\) | 2.00000 | − | 3.46410i | 0.115663 | − | 0.200334i | ||||
\(300\) | −0.766044 | − | 1.32683i | −0.0442276 | − | 0.0766044i | ||||
\(301\) | −8.17024 | + | 14.1513i | −0.470925 | + | 0.815666i | ||||
\(302\) | −2.32770 | + | 4.03169i | −0.133944 | + | 0.231998i | ||||
\(303\) | 0.566237 | 0.0325295 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.87164 | 0.336209 | ||||||||
\(306\) | 2.12701 | − | 3.68409i | 0.121593 | − | 0.210606i | ||||
\(307\) | 10.6643 | − | 18.4711i | 0.608645 | − | 1.05420i | −0.382819 | − | 0.923823i | \(-0.625047\pi\) |
0.991464 | − | 0.130380i | \(-0.0416198\pi\) | |||||||
\(308\) | −4.29086 | − | 7.43199i | −0.244494 | − | 0.423477i | ||||
\(309\) | −6.57398 | + | 11.3865i | −0.373981 | + | 0.647753i | ||||
\(310\) | −2.45336 | − | 4.24935i | −0.139342 | − | 0.241347i | ||||
\(311\) | −29.2918 | −1.66099 | −0.830493 | − | 0.557030i | \(-0.811941\pi\) | ||||
−0.830493 | + | 0.557030i | \(0.811941\pi\) | |||||||
\(312\) | 8.82295 | 0.499501 | ||||||||
\(313\) | −2.78059 | − | 4.81613i | −0.157168 | − | 0.272224i | 0.776678 | − | 0.629898i | \(-0.216903\pi\) |
−0.933846 | + | 0.357674i | \(0.883570\pi\) | |||||||
\(314\) | 4.22668 | + | 7.32083i | 0.238525 | + | 0.413138i | ||||
\(315\) | −3.51754 | −0.198191 | ||||||||
\(316\) | 9.06418 | 0.509900 | ||||||||
\(317\) | 1.90167 | + | 3.29380i | 0.106809 | + | 0.184998i | 0.914476 | − | 0.404641i | \(-0.132603\pi\) |
−0.807667 | + | 0.589639i | \(0.799270\pi\) | |||||||
\(318\) | 6.29086 | − | 10.8961i | 0.352774 | − | 0.611022i | ||||
\(319\) | −4.49525 | − | 7.78601i | −0.251686 | − | 0.435933i | ||||
\(320\) | −1.00000 | + | 1.73205i | −0.0559017 | + | 0.0968246i | ||||
\(321\) | 8.77379 | − | 15.1966i | 0.489705 | − | 0.848194i | ||||
\(322\) | 1.87164 | 0.104303 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −6.61587 | −0.367548 | ||||||||
\(325\) | 2.87939 | − | 4.98724i | 0.159720 | − | 0.276642i | ||||
\(326\) | 8.52481 | − | 14.7654i | 0.472146 | − | 0.817781i | ||||
\(327\) | −6.66044 | − | 11.5362i | −0.368323 | − | 0.637955i | ||||
\(328\) | 0.173648 | − | 0.300767i | 0.00958812 | − | 0.0166071i | ||||
\(329\) | −10.6263 | − | 18.4053i | −0.585847 | − | 1.01472i | ||||
\(330\) | 9.75877 | 0.537203 | ||||||||
\(331\) | −20.4219 | −1.12249 | −0.561245 | − | 0.827650i | \(-0.689677\pi\) | ||||
−0.561245 | + | 0.827650i | \(0.689677\pi\) | |||||||
\(332\) | −4.23783 | − | 7.34013i | −0.232581 | − | 0.402842i | ||||
\(333\) | 1.42602 | + | 2.46994i | 0.0781455 | + | 0.135352i | ||||
\(334\) | −3.19253 | −0.174688 | ||||||||
\(335\) | 9.91622 | 0.541781 | ||||||||
\(336\) | 2.06418 | + | 3.57526i | 0.112610 | + | 0.195046i | ||||
\(337\) | 10.1552 | − | 17.5894i | 0.553191 | − | 0.958154i | −0.444851 | − | 0.895604i | \(-0.646743\pi\) |
0.998042 | − | 0.0625498i | \(-0.0199232\pi\) | |||||||
\(338\) | 10.0817 | + | 17.4620i | 0.548373 | + | 0.949810i | ||||
\(339\) | −2.19072 | + | 3.79444i | −0.118984 | + | 0.206086i | ||||
\(340\) | 6.51754 | − | 11.2887i | 0.353463 | − | 0.612216i | ||||
\(341\) | −7.81345 | −0.423122 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.1593 | −0.980511 | ||||||||
\(344\) | 3.03209 | − | 5.25173i | 0.163479 | − | 0.283154i | ||||
\(345\) | −1.06418 | + | 1.84321i | −0.0572934 | + | 0.0992351i | ||||
\(346\) | −4.81521 | − | 8.34018i | −0.258867 | − | 0.448371i | ||||
\(347\) | −2.60741 | + | 4.51617i | −0.139973 | + | 0.242441i | −0.927486 | − | 0.373857i | \(-0.878035\pi\) |
0.787513 | + | 0.616298i | \(0.211368\pi\) | |||||||
\(348\) | 2.16250 | + | 3.74557i | 0.115922 | + | 0.200783i | ||||
\(349\) | 14.3405 | 0.767629 | 0.383814 | − | 0.923410i | \(-0.374610\pi\) | ||||
0.383814 | + | 0.923410i | \(0.374610\pi\) | |||||||
\(350\) | 2.69459 | 0.144032 | ||||||||
\(351\) | −16.1138 | − | 27.9099i | −0.860091 | − | 1.48972i | ||||
\(352\) | 1.59240 | + | 2.75811i | 0.0848750 | + | 0.147008i | ||||
\(353\) | 26.2499 | 1.39714 | 0.698571 | − | 0.715541i | \(-0.253820\pi\) | ||||
0.698571 | + | 0.715541i | \(0.253820\pi\) | |||||||
\(354\) | −0.879385 | −0.0467388 | ||||||||
\(355\) | −8.45336 | − | 14.6417i | −0.448658 | − | 0.777098i | ||||
\(356\) | 3.86959 | − | 6.70232i | 0.205088 | − | 0.355222i | ||||
\(357\) | −13.4534 | − | 23.3019i | −0.712027 | − | 1.23327i | ||||
\(358\) | −9.40807 | + | 16.2953i | −0.497232 | + | 0.861231i | ||||
\(359\) | 16.8452 | − | 29.1768i | 0.889058 | − | 1.53989i | 0.0480664 | − | 0.998844i | \(-0.484694\pi\) |
0.840991 | − | 0.541049i | \(-0.181973\pi\) | |||||||
\(360\) | 1.30541 | 0.0688010 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 2.77837 | 0.146028 | ||||||||
\(363\) | −0.656574 | + | 1.13722i | −0.0344612 | + | 0.0596885i | ||||
\(364\) | −7.75877 | + | 13.4386i | −0.406670 | + | 0.704373i | ||||
\(365\) | −15.7665 | − | 27.3084i | −0.825257 | − | 1.42939i | ||||
\(366\) | −2.24897 | + | 3.89533i | −0.117556 | + | 0.203612i | ||||
\(367\) | 5.23442 | + | 9.06629i | 0.273235 | + | 0.473256i | 0.969688 | − | 0.244346i | \(-0.0785731\pi\) |
−0.696454 | + | 0.717602i | \(0.745240\pi\) | |||||||
\(368\) | −0.694593 | −0.0362081 | ||||||||
\(369\) | −0.226682 | −0.0118006 | ||||||||
\(370\) | 4.36959 | + | 7.56834i | 0.227164 | + | 0.393459i | ||||
\(371\) | 11.0642 | + | 19.1637i | 0.574423 | + | 0.994931i | ||||
\(372\) | 3.75877 | 0.194883 | ||||||||
\(373\) | −23.9026 | −1.23763 | −0.618815 | − | 0.785537i | \(-0.712387\pi\) | ||||
−0.618815 | + | 0.785537i | \(0.712387\pi\) | |||||||
\(374\) | −10.3785 | − | 17.9761i | −0.536660 | − | 0.929522i | ||||
\(375\) | −9.19253 | + | 15.9219i | −0.474700 | + | 0.822205i | ||||
\(376\) | 3.94356 | + | 6.83045i | 0.203374 | + | 0.352254i | ||||
\(377\) | −8.12836 | + | 14.0787i | −0.418632 | + | 0.725091i | ||||
\(378\) | 7.53983 | − | 13.0594i | 0.387807 | − | 0.671701i | ||||
\(379\) | −17.8135 | −0.915016 | −0.457508 | − | 0.889206i | \(-0.651258\pi\) | ||||
−0.457508 | + | 0.889206i | \(0.651258\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 14.9067 | 0.763695 | ||||||||
\(382\) | 4.78106 | − | 8.28104i | 0.244620 | − | 0.423695i | ||||
\(383\) | 12.5398 | − | 21.7196i | 0.640755 | − | 1.10982i | −0.344509 | − | 0.938783i | \(-0.611955\pi\) |
0.985264 | − | 0.171038i | \(-0.0547120\pi\) | |||||||
\(384\) | −0.766044 | − | 1.32683i | −0.0390920 | − | 0.0677094i | ||||
\(385\) | −8.58172 | + | 14.8640i | −0.437365 | + | 0.757538i | ||||
\(386\) | 11.8405 | + | 20.5083i | 0.602665 | + | 1.04385i | ||||
\(387\) | −3.95811 | −0.201202 | ||||||||
\(388\) | 0.347296 | 0.0176313 | ||||||||
\(389\) | 4.70914 | + | 8.15647i | 0.238763 | + | 0.413549i | 0.960360 | − | 0.278764i | \(-0.0899248\pi\) |
−0.721597 | + | 0.692314i | \(0.756591\pi\) | |||||||
\(390\) | −8.82295 | − | 15.2818i | −0.446767 | − | 0.773824i | ||||
\(391\) | 4.52704 | 0.228942 | ||||||||
\(392\) | −0.260830 | −0.0131739 | ||||||||
\(393\) | −4.95471 | − | 8.58180i | −0.249932 | − | 0.432895i | ||||
\(394\) | −11.4611 | + | 19.8512i | −0.577402 | + | 1.00009i | ||||
\(395\) | −9.06418 | − | 15.6996i | −0.456068 | − | 0.789933i | ||||
\(396\) | 1.03936 | − | 1.80023i | 0.0522299 | − | 0.0904649i | ||||
\(397\) | −3.42602 | + | 5.93404i | −0.171947 | + | 0.297821i | −0.939101 | − | 0.343643i | \(-0.888339\pi\) |
0.767153 | + | 0.641464i | \(0.221672\pi\) | |||||||
\(398\) | −10.0838 | −0.505454 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | 2.37346 | − | 4.11095i | 0.118525 | − | 0.205291i | −0.800659 | − | 0.599121i | \(-0.795517\pi\) |
0.919183 | + | 0.393830i | \(0.128850\pi\) | |||||||
\(402\) | −3.79813 | + | 6.57856i | −0.189434 | + | 0.328109i | ||||
\(403\) | 7.06418 | + | 12.2355i | 0.351892 | + | 0.609494i | ||||
\(404\) | 0.184793 | − | 0.320070i | 0.00919377 | − | 0.0159241i | ||||
\(405\) | 6.61587 | + | 11.4590i | 0.328745 | + | 0.569403i | ||||
\(406\) | −7.60670 | −0.377514 | ||||||||
\(407\) | 13.9162 | 0.689802 | ||||||||
\(408\) | 4.99273 | + | 8.64766i | 0.247177 | + | 0.428123i | ||||
\(409\) | 15.8464 | + | 27.4468i | 0.783555 | + | 1.35716i | 0.929859 | + | 0.367917i | \(0.119929\pi\) |
−0.146304 | + | 0.989240i | \(0.546738\pi\) | |||||||
\(410\) | −0.694593 | −0.0343035 | ||||||||
\(411\) | 17.8648 | 0.881207 | ||||||||
\(412\) | 4.29086 | + | 7.43199i | 0.211395 | + | 0.366148i | ||||
\(413\) | 0.773318 | − | 1.33943i | 0.0380525 | − | 0.0659089i | ||||
\(414\) | 0.226682 | + | 0.392624i | 0.0111408 | + | 0.0192964i | ||||
\(415\) | −8.47565 | + | 14.6803i | −0.416053 | + | 0.720626i | ||||
\(416\) | 2.87939 | − | 4.98724i | 0.141173 | − | 0.244520i | ||||
\(417\) | 12.6604 | 0.619985 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −11.0101 | −0.537879 | −0.268939 | − | 0.963157i | \(-0.586673\pi\) | ||||
−0.268939 | + | 0.963157i | \(0.586673\pi\) | |||||||
\(420\) | 4.12836 | − | 7.15052i | 0.201443 | − | 0.348910i | ||||
\(421\) | −4.33275 | + | 7.50454i | −0.211165 | + | 0.365749i | −0.952079 | − | 0.305851i | \(-0.901059\pi\) |
0.740914 | + | 0.671600i | \(0.234392\pi\) | |||||||
\(422\) | 11.1800 | + | 19.3644i | 0.544236 | + | 0.942645i | ||||
\(423\) | 2.57398 | − | 4.45826i | 0.125151 | − | 0.216768i | ||||
\(424\) | −4.10607 | − | 7.11192i | −0.199408 | − | 0.345385i | ||||
\(425\) | 6.51754 | 0.316147 | ||||||||
\(426\) | 12.9513 | 0.627493 | ||||||||
\(427\) | −3.95542 | − | 6.85099i | −0.191416 | − | 0.331543i | ||||
\(428\) | −5.72668 | − | 9.91890i | −0.276810 | − | 0.479448i | ||||
\(429\) | −28.0993 | −1.35665 | ||||||||
\(430\) | −12.1284 | −0.584881 | ||||||||
\(431\) | −14.9436 | − | 25.8830i | −0.719806 | − | 1.24674i | −0.961076 | − | 0.276283i | \(-0.910897\pi\) |
0.241270 | − | 0.970458i | \(-0.422436\pi\) | |||||||
\(432\) | −2.79813 | + | 4.84651i | −0.134625 | + | 0.233178i | ||||
\(433\) | 4.63041 | + | 8.02011i | 0.222524 | + | 0.385422i | 0.955574 | − | 0.294753i | \(-0.0952372\pi\) |
−0.733050 | + | 0.680175i | \(0.761904\pi\) | |||||||
\(434\) | −3.30541 | + | 5.72513i | −0.158665 | + | 0.274815i | ||||
\(435\) | 4.32501 | − | 7.49113i | 0.207368 | − | 0.359172i | ||||
\(436\) | −8.69459 | −0.416395 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 24.1557 | 1.15420 | ||||||||
\(439\) | 10.4311 | − | 18.0672i | 0.497848 | − | 0.862298i | −0.502149 | − | 0.864781i | \(-0.667457\pi\) |
0.999997 | + | 0.00248311i | \(0.000790399\pi\) | |||||||
\(440\) | 3.18479 | − | 5.51622i | 0.151829 | − | 0.262976i | ||||
\(441\) | 0.0851223 | + | 0.147436i | 0.00405344 | + | 0.00702077i | ||||
\(442\) | −18.7665 | + | 32.5046i | −0.892632 | + | 1.54608i | ||||
\(443\) | −11.9140 | − | 20.6357i | −0.566051 | − | 0.980430i | −0.996951 | − | 0.0780297i | \(-0.975137\pi\) |
0.430900 | − | 0.902400i | \(-0.358196\pi\) | |||||||
\(444\) | −6.69459 | −0.317711 | ||||||||
\(445\) | −15.4783 | −0.733744 | ||||||||
\(446\) | 4.63816 | + | 8.03352i | 0.219623 | + | 0.380398i | ||||
\(447\) | −12.6040 | − | 21.8308i | −0.596149 | − | 1.03256i | ||||
\(448\) | 2.69459 | 0.127308 | ||||||||
\(449\) | 2.18210 | 0.102980 | 0.0514899 | − | 0.998674i | \(-0.483603\pi\) | ||||
0.0514899 | + | 0.998674i | \(0.483603\pi\) | |||||||
\(450\) | 0.326352 | + | 0.565258i | 0.0153844 | + | 0.0266465i | ||||
\(451\) | −0.553033 | + | 0.957882i | −0.0260413 | + | 0.0451049i | ||||
\(452\) | 1.42989 | + | 2.47665i | 0.0672565 | + | 0.116492i | ||||
\(453\) | −3.56624 | + | 6.17690i | −0.167556 | + | 0.290216i | ||||
\(454\) | −3.86824 | + | 6.69999i | −0.181546 | + | 0.314446i | ||||
\(455\) | 31.0351 | 1.45495 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.78106 | 0.0833144 | 0.0416572 | − | 0.999132i | \(-0.486736\pi\) | ||||
0.0416572 | + | 0.999132i | \(0.486736\pi\) | |||||||
\(458\) | −11.5175 | + | 19.9490i | −0.538179 | + | 0.932154i | ||||
\(459\) | 18.2369 | − | 31.5873i | 0.851228 | − | 1.47437i | ||||
\(460\) | 0.694593 | + | 1.20307i | 0.0323856 | + | 0.0560934i | ||||
\(461\) | 7.74422 | − | 13.4134i | 0.360684 | − | 0.624724i | −0.627389 | − | 0.778706i | \(-0.715876\pi\) |
0.988074 | + | 0.153982i | \(0.0492098\pi\) | |||||||
\(462\) | −6.57398 | − | 11.3865i | −0.305849 | − | 0.529746i | ||||
\(463\) | −2.71007 | −0.125948 | −0.0629739 | − | 0.998015i | \(-0.520058\pi\) | ||||
−0.0629739 | + | 0.998015i | \(0.520058\pi\) | |||||||
\(464\) | 2.82295 | 0.131052 | ||||||||
\(465\) | −3.75877 | − | 6.51038i | −0.174309 | − | 0.301912i | ||||
\(466\) | 4.19981 | + | 7.27428i | 0.194552 | + | 0.336974i | ||||
\(467\) | 12.9135 | 0.597567 | 0.298784 | − | 0.954321i | \(-0.403419\pi\) | ||||
0.298784 | + | 0.954321i | \(0.403419\pi\) | |||||||
\(468\) | −3.75877 | −0.173749 | ||||||||
\(469\) | −6.68004 | − | 11.5702i | −0.308456 | − | 0.534261i | ||||
\(470\) | 7.88713 | − | 13.6609i | 0.363806 | − | 0.630130i | ||||
\(471\) | 6.47565 | + | 11.2162i | 0.298382 | + | 0.516813i | ||||
\(472\) | −0.286989 | + | 0.497079i | −0.0132097 | + | 0.0228799i | ||||
\(473\) | −9.65657 | + | 16.7257i | −0.444010 | + | 0.769047i | ||||
\(474\) | 13.8871 | 0.637857 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −17.5621 | −0.804958 | ||||||||
\(477\) | −2.68004 | + | 4.64197i | −0.122711 | + | 0.212541i | ||||
\(478\) | −7.86484 | + | 13.6223i | −0.359729 | + | 0.623069i | ||||
\(479\) | 9.27631 | + | 16.0670i | 0.423845 | + | 0.734122i | 0.996312 | − | 0.0858063i | \(-0.0273466\pi\) |
−0.572466 | + | 0.819928i | \(0.694013\pi\) | |||||||
\(480\) | −1.53209 | + | 2.65366i | −0.0699300 | + | 0.121122i | ||||
\(481\) | −12.5817 | − | 21.7922i | −0.573677 | − | 0.993638i | ||||
\(482\) | 17.5030 | 0.797239 | ||||||||
\(483\) | 2.86753 | 0.130477 | ||||||||
\(484\) | 0.428548 | + | 0.742267i | 0.0194795 | + | 0.0337394i | ||||
\(485\) | −0.347296 | − | 0.601535i | −0.0157699 | − | 0.0273143i | ||||
\(486\) | 6.65270 | 0.301773 | ||||||||
\(487\) | −41.1735 | −1.86575 | −0.932876 | − | 0.360199i | \(-0.882709\pi\) | ||||
−0.932876 | + | 0.360199i | \(0.882709\pi\) | |||||||
\(488\) | 1.46791 | + | 2.54250i | 0.0664492 | + | 0.115093i | ||||
\(489\) | 13.0608 | − | 22.6219i | 0.590629 | − | 1.02300i | ||||
\(490\) | 0.260830 | + | 0.451771i | 0.0117831 | + | 0.0204089i | ||||
\(491\) | 11.2888 | − | 19.5528i | 0.509456 | − | 0.882404i | −0.490484 | − | 0.871450i | \(-0.663180\pi\) |
0.999940 | − | 0.0109540i | \(-0.00348682\pi\) | |||||||
\(492\) | 0.266044 | − | 0.460802i | 0.0119942 | − | 0.0207746i | ||||
\(493\) | −18.3987 | −0.828635 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.15745 | −0.186864 | ||||||||
\(496\) | 1.22668 | − | 2.12467i | 0.0550796 | − | 0.0954007i | ||||
\(497\) | −11.3892 | + | 19.7266i | −0.510875 | + | 0.884861i | ||||
\(498\) | −6.49273 | − | 11.2457i | −0.290946 | − | 0.503933i | ||||
\(499\) | 14.6643 | − | 25.3993i | 0.656465 | − | 1.13703i | −0.325060 | − | 0.945694i | \(-0.605384\pi\) |
0.981524 | − | 0.191337i | \(-0.0612823\pi\) | |||||||
\(500\) | 6.00000 | + | 10.3923i | 0.268328 | + | 0.464758i | ||||
\(501\) | −4.89124 | −0.218525 | ||||||||
\(502\) | −8.56717 | −0.382372 | ||||||||
\(503\) | −16.8084 | − | 29.1130i | −0.749450 | − | 1.29808i | −0.948087 | − | 0.318012i | \(-0.896985\pi\) |
0.198637 | − | 0.980073i | \(-0.436348\pi\) | |||||||
\(504\) | −0.879385 | − | 1.52314i | −0.0391709 | − | 0.0678460i | ||||
\(505\) | −0.739170 | −0.0328926 | ||||||||
\(506\) | 2.21213 | 0.0983413 | ||||||||
\(507\) | 15.4461 | + | 26.7534i | 0.685985 | + | 1.18816i | ||||
\(508\) | 4.86484 | − | 8.42615i | 0.215842 | − | 0.373850i | ||||
\(509\) | 2.01455 | + | 3.48930i | 0.0892933 | + | 0.154660i | 0.907213 | − | 0.420672i | \(-0.138206\pi\) |
−0.817919 | + | 0.575333i | \(0.804872\pi\) | |||||||
\(510\) | 9.98545 | − | 17.2953i | 0.442163 | − | 0.765849i | ||||
\(511\) | −21.2422 | + | 36.7925i | −0.939698 | + | 1.62760i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.02465 | −0.353952 | ||||||||
\(515\) | 8.58172 | − | 14.8640i | 0.378156 | − | 0.654985i | ||||
\(516\) | 4.64543 | − | 8.04612i | 0.204504 | − | 0.354211i | ||||
\(517\) | −12.5594 | − | 21.7536i | −0.552363 | − | 0.956721i | ||||
\(518\) | 5.88713 | − | 10.1968i | 0.258665 | − | 0.448022i | ||||
\(519\) | −7.37733 | − | 12.7779i | −0.323829 | − | 0.560888i | ||||
\(520\) | −11.5175 | −0.505078 | ||||||||
\(521\) | −4.98957 | −0.218597 | −0.109299 | − | 0.994009i | \(-0.534860\pi\) | ||||
−0.109299 | + | 0.994009i | \(0.534860\pi\) | |||||||
\(522\) | −0.921274 | − | 1.59569i | −0.0403231 | − | 0.0698416i | ||||
\(523\) | −13.2763 | − | 22.9952i | −0.580533 | − | 1.00551i | −0.995416 | − | 0.0956374i | \(-0.969511\pi\) |
0.414884 | − | 0.909874i | \(-0.363822\pi\) | |||||||
\(524\) | −6.46791 | −0.282552 | ||||||||
\(525\) | 4.12836 | 0.180176 | ||||||||
\(526\) | −2.98040 | − | 5.16220i | −0.129952 | − | 0.225083i | ||||
\(527\) | −7.99495 | + | 13.8477i | −0.348265 | + | 0.603213i | ||||
\(528\) | 2.43969 | + | 4.22567i | 0.106174 | + | 0.183899i | ||||
\(529\) | 11.2588 | − | 19.5008i | 0.489512 | − | 0.847859i | ||||
\(530\) | −8.21213 | + | 14.2238i | −0.356712 | + | 0.617844i | ||||
\(531\) | 0.374638 | 0.0162579 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | 5.92855 | − | 10.2685i | 0.256553 | − | 0.444363i | ||||
\(535\) | −11.4534 | + | 19.8378i | −0.495172 | + | 0.857663i | ||||
\(536\) | 2.47906 | + | 4.29385i | 0.107079 | + | 0.185466i | ||||
\(537\) | −14.4140 | + | 24.9658i | −0.622010 | + | 1.07735i | ||||
\(538\) | 0.573978 | + | 0.994159i | 0.0247459 | + | 0.0428612i | ||||
\(539\) | 0.830689 | 0.0357803 | ||||||||
\(540\) | 11.1925 | 0.481650 | ||||||||
\(541\) | 5.98545 | + | 10.3671i | 0.257335 | + | 0.445717i | 0.965527 | − | 0.260303i | \(-0.0838224\pi\) |
−0.708192 | + | 0.706020i | \(0.750489\pi\) | |||||||
\(542\) | 10.0273 | + | 17.3679i | 0.430711 | + | 0.746014i | ||||
\(543\) | 4.25671 | 0.182673 | ||||||||
\(544\) | 6.51754 | 0.279437 | ||||||||
\(545\) | 8.69459 | + | 15.0595i | 0.372435 | + | 0.645077i | ||||
\(546\) | −11.8871 | + | 20.5891i | −0.508722 | + | 0.881132i | ||||
\(547\) | 1.59833 | + | 2.76838i | 0.0683395 | + | 0.118367i | 0.898170 | − | 0.439647i | \(-0.144897\pi\) |
−0.829831 | + | 0.558015i | \(0.811563\pi\) | |||||||
\(548\) | 5.83022 | − | 10.0982i | 0.249055 | − | 0.431375i | ||||
\(549\) | 0.958111 | − | 1.65950i | 0.0408912 | − | 0.0708256i | ||||
\(550\) | 3.18479 | 0.135800 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.06418 | −0.0452944 | ||||||||
\(553\) | −12.2121 | + | 21.1520i | −0.519313 | + | 0.899476i | ||||
\(554\) | 8.68004 | − | 15.0343i | 0.368780 | − | 0.638745i | ||||
\(555\) | 6.69459 | + | 11.5954i | 0.284170 | + | 0.492196i | ||||
\(556\) | 4.13176 | − | 7.15642i | 0.175226 | − | 0.303500i | ||||
\(557\) | 11.9881 | + | 20.7641i | 0.507954 | + | 0.879802i | 0.999958 | + | 0.00920875i | \(0.00293128\pi\) |
−0.492004 | + | 0.870593i | \(0.663735\pi\) | |||||||
\(558\) | −1.60132 | −0.0677892 | ||||||||
\(559\) | 34.9222 | 1.47705 | ||||||||
\(560\) | −2.69459 | − | 4.66717i | −0.113867 | − | 0.197224i | ||||
\(561\) | −15.9008 | − | 27.5410i | −0.671332 | − | 1.16278i | ||||
\(562\) | 2.92127 | 0.123227 | ||||||||
\(563\) | 8.75702 | 0.369064 | 0.184532 | − | 0.982826i | \(-0.440923\pi\) | ||||
0.184532 | + | 0.982826i | \(0.440923\pi\) | |||||||
\(564\) | 6.04189 | + | 10.4649i | 0.254409 | + | 0.440650i | ||||
\(565\) | 2.85978 | − | 4.95329i | 0.120312 | − | 0.208387i | ||||
\(566\) | −4.74035 | − | 8.21053i | −0.199252 | − | 0.345114i | ||||
\(567\) | 8.91353 | − | 15.4387i | 0.374333 | − | 0.648364i | ||||
\(568\) | 4.22668 | − | 7.32083i | 0.177348 | − | 0.307175i | ||||
\(569\) | 36.4201 | 1.52681 | 0.763406 | − | 0.645919i | \(-0.223526\pi\) | ||||
0.763406 | + | 0.645919i | \(0.223526\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.2131 | 1.43177 | 0.715886 | − | 0.698217i | \(-0.246023\pi\) | ||||
0.715886 | + | 0.698217i | \(0.246023\pi\) | |||||||
\(572\) | −9.17024 | + | 15.8833i | −0.383427 | + | 0.664115i | ||||
\(573\) | 7.32501 | − | 12.6873i | 0.306007 | − | 0.530019i | ||||
\(574\) | 0.467911 | + | 0.810446i | 0.0195302 | + | 0.0338274i | ||||
\(575\) | −0.347296 | + | 0.601535i | −0.0144833 | + | 0.0250857i | ||||
\(576\) | 0.326352 | + | 0.565258i | 0.0135980 | + | 0.0235524i | ||||
\(577\) | 15.5098 | 0.645681 | 0.322841 | − | 0.946453i | \(-0.395362\pi\) | ||||
0.322841 | + | 0.946453i | \(0.395362\pi\) | |||||||
\(578\) | −25.4783 | −1.05976 | ||||||||
\(579\) | 18.1407 | + | 31.4206i | 0.753901 | + | 1.30579i | ||||
\(580\) | −2.82295 | − | 4.88949i | −0.117217 | − | 0.203025i | ||||
\(581\) | 22.8384 | 0.947498 | ||||||||
\(582\) | 0.532089 | 0.0220558 | ||||||||
\(583\) | 13.0770 | + | 22.6500i | 0.541593 | + | 0.938066i | ||||
\(584\) | 7.88326 | − | 13.6542i | 0.326211 | − | 0.565015i | ||||
\(585\) | 3.75877 | + | 6.51038i | 0.155406 | + | 0.269171i | ||||
\(586\) | 13.6459 | − | 23.6354i | 0.563707 | − | 0.976369i | ||||
\(587\) | 5.79086 | − | 10.0301i | 0.239014 | − | 0.413985i | −0.721417 | − | 0.692501i | \(-0.756509\pi\) |
0.960432 | + | 0.278516i | \(0.0898424\pi\) | |||||||
\(588\) | −0.399615 | −0.0164798 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.14796 | 0.0472606 | ||||||||
\(591\) | −17.5594 | + | 30.4138i | −0.722298 | + | 1.25106i | ||||
\(592\) | −2.18479 | + | 3.78417i | −0.0897944 | + | 0.155528i | ||||
\(593\) | 23.1964 | + | 40.1773i | 0.952562 | + | 1.64989i | 0.739851 | + | 0.672771i | \(0.234896\pi\) |
0.212711 | + | 0.977115i | \(0.431771\pi\) | |||||||
\(594\) | 8.91147 | − | 15.4351i | 0.365642 | − | 0.633311i | ||||
\(595\) | 17.5621 | + | 30.4185i | 0.719977 | + | 1.24704i | ||||
\(596\) | −16.4534 | −0.673956 | ||||||||
\(597\) | −15.4492 | −0.632295 | ||||||||
\(598\) | −2.00000 | − | 3.46410i | −0.0817861 | − | 0.141658i | ||||
\(599\) | 12.8161 | + | 22.1982i | 0.523653 | + | 0.906994i | 0.999621 | + | 0.0275314i | \(0.00876461\pi\) |
−0.475968 | + | 0.879463i | \(0.657902\pi\) | |||||||
\(600\) | −1.53209 | −0.0625473 | ||||||||
\(601\) | −7.99226 | −0.326011 | −0.163006 | − | 0.986625i | \(-0.552119\pi\) | ||||
−0.163006 | + | 0.986625i | \(0.552119\pi\) | |||||||
\(602\) | 8.17024 | + | 14.1513i | 0.332994 | + | 0.576763i | ||||
\(603\) | 1.61809 | − | 2.80261i | 0.0658937 | − | 0.114131i | ||||
\(604\) | 2.32770 | + | 4.03169i | 0.0947126 | + | 0.164047i | ||||
\(605\) | 0.857097 | − | 1.48453i | 0.0348459 | − | 0.0603549i | ||||
\(606\) | 0.283119 | − | 0.490376i | 0.0115009 | − | 0.0199202i | ||||
\(607\) | 26.9905 | 1.09551 | 0.547755 | − | 0.836639i | \(-0.315482\pi\) | ||||
0.547755 | + | 0.836639i | \(0.315482\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −11.6541 | −0.472249 | ||||||||
\(610\) | 2.93582 | − | 5.08499i | 0.118868 | − | 0.205885i | ||||
\(611\) | −22.7101 | + | 39.3350i | −0.918751 | + | 1.59132i | ||||
\(612\) | −2.12701 | − | 3.68409i | −0.0859793 | − | 0.148921i | ||||
\(613\) | 7.12567 | − | 12.3420i | 0.287803 | − | 0.498489i | −0.685482 | − | 0.728090i | \(-0.740409\pi\) |
0.973285 | + | 0.229600i | \(0.0737418\pi\) | |||||||
\(614\) | −10.6643 | − | 18.4711i | −0.430377 | − | 0.745434i | ||||
\(615\) | −1.06418 | −0.0429118 | ||||||||
\(616\) | −8.58172 | −0.345767 | ||||||||
\(617\) | 15.2802 | + | 26.4661i | 0.615157 | + | 1.06548i | 0.990357 | + | 0.138539i | \(0.0442407\pi\) |
−0.375200 | + | 0.926944i | \(0.622426\pi\) | |||||||
\(618\) | 6.57398 | + | 11.3865i | 0.264444 | + | 0.458031i | ||||
\(619\) | −28.6750 | −1.15255 | −0.576273 | − | 0.817258i | \(-0.695493\pi\) | ||||
−0.576273 | + | 0.817258i | \(0.695493\pi\) | |||||||
\(620\) | −4.90673 | −0.197059 | ||||||||
\(621\) | 1.94356 | + | 3.36635i | 0.0779925 | + | 0.135087i | ||||
\(622\) | −14.6459 | + | 25.3674i | −0.587247 | + | 1.01714i | ||||
\(623\) | 10.4270 | + | 18.0600i | 0.417747 | + | 0.723559i | ||||
\(624\) | 4.41147 | − | 7.64090i | 0.176600 | − | 0.305881i | ||||
\(625\) | 9.50000 | − | 16.4545i | 0.380000 | − | 0.658179i | ||||
\(626\) | −5.56118 | −0.222270 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.45336 | 0.337326 | ||||||||
\(629\) | 14.2395 | − | 24.6635i | 0.567765 | − | 0.983398i | ||||
\(630\) | −1.75877 | + | 3.04628i | −0.0700711 | + | 0.121367i | ||||
\(631\) | 2.24897 | + | 3.89533i | 0.0895301 | + | 0.155071i | 0.907313 | − | 0.420457i | \(-0.138130\pi\) |
−0.817783 | + | 0.575527i | \(0.804797\pi\) | |||||||
\(632\) | 4.53209 | − | 7.84981i | 0.180277 | − | 0.312249i | ||||
\(633\) | 17.1288 | + | 29.6680i | 0.680810 | + | 1.17920i | ||||
\(634\) | 3.80335 | 0.151050 | ||||||||
\(635\) | −19.4593 | −0.772221 | ||||||||
\(636\) | −6.29086 | − | 10.8961i | −0.249449 | − | 0.432058i | ||||
\(637\) | −0.751030 | − | 1.30082i | −0.0297569 | − | 0.0515404i | ||||
\(638\) | −8.99050 | −0.355937 | ||||||||
\(639\) | −5.51754 | −0.218271 | ||||||||
\(640\) | 1.00000 | + | 1.73205i | 0.0395285 | + | 0.0684653i | ||||
\(641\) | −5.80406 | + | 10.0529i | −0.229247 | + | 0.397067i | −0.957585 | − | 0.288151i | \(-0.906960\pi\) |
0.728338 | + | 0.685218i | \(0.240293\pi\) | |||||||
\(642\) | −8.77379 | − | 15.1966i | −0.346274 | − | 0.599764i | ||||
\(643\) | −13.0228 | + | 22.5561i | −0.513567 | + | 0.889525i | 0.486309 | + | 0.873787i | \(0.338343\pi\) |
−0.999876 | + | 0.0157377i | \(0.994990\pi\) | |||||||
\(644\) | 0.935822 | − | 1.62089i | 0.0368766 | − | 0.0638721i | ||||
\(645\) | −18.5817 | −0.731654 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.31490 | −0.0910082 | −0.0455041 | − | 0.998964i | \(-0.514489\pi\) | ||||
−0.0455041 | + | 0.998964i | \(0.514489\pi\) | |||||||
\(648\) | −3.30793 | + | 5.72951i | −0.129948 | + | 0.225076i | ||||
\(649\) | 0.914000 | − | 1.58310i | 0.0358777 | − | 0.0621419i | ||||
\(650\) | −2.87939 | − | 4.98724i | −0.112939 | − | 0.195616i | ||||
\(651\) | −5.06418 | + | 8.77141i | −0.198481 | + | 0.343779i | ||||
\(652\) | −8.52481 | − | 14.7654i | −0.333858 | − | 0.578258i | ||||
\(653\) | 3.30541 | 0.129351 | 0.0646753 | − | 0.997906i | \(-0.479399\pi\) | ||||
0.0646753 | + | 0.997906i | \(0.479399\pi\) | |||||||
\(654\) | −13.3209 | −0.520888 | ||||||||
\(655\) | 6.46791 | + | 11.2028i | 0.252722 | + | 0.437728i | ||||
\(656\) | −0.173648 | − | 0.300767i | −0.00677982 | − | 0.0117430i | ||||
\(657\) | −10.2909 | −0.401485 | ||||||||
\(658\) | −21.2526 | −0.828512 | ||||||||
\(659\) | −6.87464 | − | 11.9072i | −0.267798 | − | 0.463839i | 0.700495 | − | 0.713657i | \(-0.252963\pi\) |
−0.968293 | + | 0.249818i | \(0.919629\pi\) | |||||||
\(660\) | 4.87939 | − | 8.45134i | 0.189930 | − | 0.328968i | ||||
\(661\) | −1.66725 | − | 2.88776i | −0.0648486 | − | 0.112321i | 0.831778 | − | 0.555108i | \(-0.187323\pi\) |
−0.896627 | + | 0.442787i | \(0.853990\pi\) | |||||||
\(662\) | −10.2110 | + | 17.6859i | −0.396860 | + | 0.687382i | ||||
\(663\) | −28.7520 | + | 49.7999i | −1.11663 | + | 1.93407i | ||||
\(664\) | −8.47565 | −0.328919 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.85204 | 0.110514 | ||||||||
\(667\) | 0.980400 | − | 1.69810i | 0.0379612 | − | 0.0657508i | ||||
\(668\) | −1.59627 | + | 2.76481i | −0.0617614 | + | 0.106974i | ||||
\(669\) | 7.10607 | + | 12.3081i | 0.274736 | + | 0.475857i | ||||
\(670\) | 4.95811 | − | 8.58770i | 0.191549 | − | 0.331772i | ||||
\(671\) | −4.67499 | − | 8.09732i | −0.180476 | − | 0.312594i | ||||
\(672\) | 4.12836 | 0.159255 | ||||||||
\(673\) | −38.9810 | −1.50261 | −0.751304 | − | 0.659957i | \(-0.770575\pi\) | ||||
−0.751304 | + | 0.659957i | \(0.770575\pi\) | |||||||
\(674\) | −10.1552 | − | 17.5894i | −0.391165 | − | 0.677517i | ||||
\(675\) | 2.79813 | + | 4.84651i | 0.107700 | + | 0.186542i | ||||
\(676\) | 20.1634 | 0.775517 | ||||||||
\(677\) | 43.5877 | 1.67521 | 0.837606 | − | 0.546275i | \(-0.183955\pi\) | ||||
0.837606 | + | 0.546275i | \(0.183955\pi\) | |||||||
\(678\) | 2.19072 | + | 3.79444i | 0.0841342 | + | 0.145725i | ||||
\(679\) | −0.467911 | + | 0.810446i | −0.0179568 | + | 0.0311021i | ||||
\(680\) | −6.51754 | − | 11.2887i | −0.249936 | − | 0.432902i | ||||
\(681\) | −5.92649 | + | 10.2650i | −0.227104 | + | 0.393355i | ||||
\(682\) | −3.90673 | + | 6.76665i | −0.149596 | + | 0.259108i | ||||
\(683\) | −32.9317 | −1.26010 | −0.630048 | − | 0.776556i | \(-0.716965\pi\) | ||||
−0.630048 | + | 0.776556i | \(0.716965\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23.3209 | −0.891045 | ||||||||
\(686\) | −9.07966 | + | 15.7264i | −0.346663 | + | 0.600438i | ||||
\(687\) | −17.6459 | + | 30.5636i | −0.673233 | + | 1.16607i | ||||
\(688\) | −3.03209 | − | 5.25173i | −0.115597 | − | 0.200220i | ||||
\(689\) | 23.6459 | − | 40.9559i | 0.900837 | − | 1.56030i | ||||
\(690\) | 1.06418 | + | 1.84321i | 0.0405126 | + | 0.0701698i | ||||
\(691\) | 34.3209 | 1.30563 | 0.652814 | − | 0.757518i | \(-0.273588\pi\) | ||||
0.652814 | + | 0.757518i | \(0.273588\pi\) | |||||||
\(692\) | −9.63041 | −0.366093 | ||||||||
\(693\) | 2.80066 | + | 4.85088i | 0.106388 | + | 0.184270i | ||||
\(694\) | 2.60741 | + | 4.51617i | 0.0989760 | + | 0.171431i | ||||
\(695\) | −16.5270 | −0.626906 | ||||||||
\(696\) | 4.32501 | 0.163939 | ||||||||
\(697\) | 1.13176 | + | 1.96026i | 0.0428684 | + | 0.0742503i | ||||
\(698\) | 7.17024 | − | 12.4192i | 0.271398 | − | 0.470075i | ||||
\(699\) | 6.43448 | + | 11.1448i | 0.243374 | + | 0.421537i | ||||
\(700\) | 1.34730 | − | 2.33359i | 0.0509230 | − | 0.0882013i | ||||
\(701\) | −3.22668 | + | 5.58878i | −0.121870 | + | 0.211085i | −0.920505 | − | 0.390730i | \(-0.872222\pi\) |
0.798635 | + | 0.601816i | \(0.205556\pi\) | |||||||
\(702\) | −32.2276 | −1.21635 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 3.18479 | 0.120031 | ||||||||
\(705\) | 12.0838 | − | 20.9297i | 0.455101 | − | 0.788259i | ||||
\(706\) | 13.1250 | − | 22.7331i | 0.493964 | − | 0.855571i | ||||
\(707\) | 0.497941 | + | 0.862458i | 0.0187270 | + | 0.0324361i | ||||
\(708\) | −0.439693 | + | 0.761570i | −0.0165247 | + | 0.0286216i | ||||
\(709\) | 1.68954 | + | 2.92637i | 0.0634520 | + | 0.109902i | 0.896006 | − | 0.444041i | \(-0.146456\pi\) |
−0.832554 | + | 0.553944i | \(0.813122\pi\) | |||||||
\(710\) | −16.9067 | −0.634498 | ||||||||
\(711\) | −5.91622 | −0.221876 | ||||||||
\(712\) | −3.86959 | − | 6.70232i | −0.145019 | − | 0.251180i | ||||
\(713\) | −0.852044 | − | 1.47578i | −0.0319093 | − | 0.0552685i | ||||
\(714\) | −26.9067 | −1.00696 | ||||||||
\(715\) | 36.6810 | 1.37179 | ||||||||
\(716\) | 9.40807 | + | 16.2953i | 0.351596 | + | 0.608982i | ||||
\(717\) | −12.0496 | + | 20.8706i | −0.450002 | + | 0.779426i | ||||
\(718\) | −16.8452 | − | 29.1768i | −0.628659 | − | 1.08887i | ||||
\(719\) | 15.6013 | − | 27.0223i | 0.581831 | − | 1.00776i | −0.413431 | − | 0.910535i | \(-0.635670\pi\) |
0.995262 | − | 0.0972256i | \(-0.0309968\pi\) | |||||||
\(720\) | 0.652704 | − | 1.13052i | 0.0243248 | − | 0.0421318i | ||||
\(721\) | −23.1242 | −0.861192 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 26.8161 | 0.997303 | ||||||||
\(724\) | 1.38919 | − | 2.40614i | 0.0516287 | − | 0.0894235i | ||||
\(725\) | 1.41147 | − | 2.44474i | 0.0524208 | − | 0.0907955i | ||||
\(726\) | 0.656574 | + | 1.13722i | 0.0243677 | + | 0.0422062i | ||||
\(727\) | 12.8307 | − | 22.2234i | 0.475864 | − | 0.824220i | −0.523754 | − | 0.851870i | \(-0.675469\pi\) |
0.999618 | + | 0.0276492i | \(0.00880214\pi\) | |||||||
\(728\) | 7.75877 | + | 13.4386i | 0.287559 | + | 0.498067i | ||||
\(729\) | 30.0401 | 1.11260 | ||||||||
\(730\) | −31.5330 | −1.16709 | ||||||||
\(731\) | 19.7618 | + | 34.2284i | 0.730915 | + | 1.26598i | ||||
\(732\) | 2.24897 | + | 3.89533i | 0.0831243 | + | 0.143976i | ||||
\(733\) | −23.8735 | −0.881788 | −0.440894 | − | 0.897559i | \(-0.645339\pi\) | ||||
−0.440894 | + | 0.897559i | \(0.645339\pi\) | |||||||
\(734\) | 10.4688 | 0.386412 | ||||||||
\(735\) | 0.399615 | + | 0.692153i | 0.0147400 | + | 0.0255304i | ||||
\(736\) | −0.347296 | + | 0.601535i | −0.0128015 | + | 0.0221729i | ||||
\(737\) | −7.89528 | − | 13.6750i | −0.290826 | − | 0.503726i | ||||
\(738\) | −0.113341 | + | 0.196312i | −0.00417213 | + | 0.00722635i | ||||
\(739\) | 22.9702 | − | 39.7855i | 0.844972 | − | 1.46353i | −0.0406734 | − | 0.999172i | \(-0.512950\pi\) |
0.885645 | − | 0.464362i | \(-0.153716\pi\) | |||||||
\(740\) | 8.73917 | 0.321258 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 22.1284 | 0.812357 | ||||||||
\(743\) | −25.5057 | + | 44.1771i | −0.935713 | + | 1.62070i | −0.162355 | + | 0.986732i | \(0.551909\pi\) |
−0.773358 | + | 0.633969i | \(0.781424\pi\) | |||||||
\(744\) | 1.87939 | − | 3.25519i | 0.0689016 | − | 0.119341i | ||||
\(745\) | 16.4534 | + | 28.4981i | 0.602805 | + | 1.04409i | ||||
\(746\) | −11.9513 | + | 20.7003i | −0.437568 | + | 0.757891i | ||||
\(747\) | 2.76604 | + | 4.79093i | 0.101204 | + | 0.175291i | ||||
\(748\) | −20.7570 | −0.758952 | ||||||||
\(749\) | 30.8621 | 1.12768 | ||||||||
\(750\) | 9.19253 | + | 15.9219i | 0.335664 | + | 0.581387i | ||||
\(751\) | −18.1848 | − | 31.4970i | −0.663573 | − | 1.14934i | −0.979670 | − | 0.200615i | \(-0.935706\pi\) |
0.316098 | − | 0.948727i | \(-0.397627\pi\) | |||||||
\(752\) | 7.88713 | 0.287614 | ||||||||
\(753\) | −13.1257 | −0.478326 | ||||||||
\(754\) | 8.12836 | + | 14.0787i | 0.296017 | + | 0.512717i | ||||
\(755\) | 4.65539 | − | 8.06338i | 0.169427 | − | 0.293456i | ||||
\(756\) | −7.53983 | − | 13.0594i | −0.274221 | − | 0.474965i | ||||
\(757\) | 2.90167 | − | 5.02585i | 0.105463 | − | 0.182668i | −0.808464 | − | 0.588545i | \(-0.799701\pi\) |
0.913927 | + | 0.405878i | \(0.133034\pi\) | |||||||
\(758\) | −8.90673 | + | 15.4269i | −0.323507 | + | 0.560330i | ||||
\(759\) | 3.38919 | 0.123020 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.6355 | 0.820535 | 0.410268 | − | 0.911965i | \(-0.365435\pi\) | ||||
0.410268 | + | 0.911965i | \(0.365435\pi\) | |||||||
\(762\) | 7.45336 | − | 12.9096i | 0.270007 | − | 0.467666i | ||||
\(763\) | 11.7142 | − | 20.2896i | 0.424082 | − | 0.734532i | ||||
\(764\) | −4.78106 | − | 8.28104i | −0.172973 | − | 0.299597i | ||||
\(765\) | −4.25402 | + | 7.36818i | −0.153805 | + | 0.266397i | ||||
\(766\) | −12.5398 | − | 21.7196i | −0.453082 | − | 0.784762i | ||||
\(767\) | −3.30541 | −0.119351 | ||||||||
\(768\) | −1.53209 | −0.0552845 | ||||||||
\(769\) | −5.45130 | − | 9.44194i | −0.196579 | − | 0.340485i | 0.750838 | − | 0.660486i | \(-0.229650\pi\) |
−0.947417 | + | 0.320002i | \(0.896317\pi\) | |||||||
\(770\) | 8.58172 | + | 14.8640i | 0.309264 | + | 0.535660i | ||||
\(771\) | −12.2945 | −0.442775 | ||||||||
\(772\) | 23.6810 | 0.852297 | ||||||||
\(773\) | −2.62536 | − | 4.54726i | −0.0944277 | − | 0.163554i | 0.814942 | − | 0.579543i | \(-0.196769\pi\) |
−0.909370 | + | 0.415989i | \(0.863435\pi\) | |||||||
\(774\) | −1.97906 | + | 3.42782i | −0.0711357 | + | 0.123211i | ||||
\(775\) | −1.22668 | − | 2.12467i | −0.0440637 | − | 0.0763206i | ||||
\(776\) | 0.173648 | − | 0.300767i | 0.00623361 | − | 0.0107969i | ||||
\(777\) | 9.01960 | − | 15.6224i | 0.323576 | − | 0.560451i | ||||
\(778\) | 9.41828 | 0.337662 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −17.6459 | −0.631824 | ||||||||
\(781\) | −13.4611 | + | 23.3153i | −0.481676 | + | 0.834288i | ||||
\(782\) | 2.26352 | − | 3.92053i | 0.0809432 | − | 0.140198i | ||||
\(783\) | −7.89899 | − | 13.6814i | −0.282287 | − | 0.488935i | ||||
\(784\) | −0.130415 | + | 0.225885i | −0.00465768 | + | 0.00806733i | ||||
\(785\) | −8.45336 | − | 14.6417i | −0.301713 | − | 0.522583i | ||||
\(786\) | −9.90941 | −0.353457 | ||||||||
\(787\) | 2.38743 | 0.0851027 | 0.0425514 | − | 0.999094i | \(-0.486451\pi\) | ||||
0.0425514 | + | 0.999094i | \(0.486451\pi\) | |||||||
\(788\) | 11.4611 | + | 19.8512i | 0.408285 | + | 0.707170i | ||||
\(789\) | −4.56624 | − | 7.90895i | −0.162562 | − | 0.281566i | ||||
\(790\) | −18.1284 | −0.644978 | ||||||||
\(791\) | −7.70596 | −0.273992 | ||||||||
\(792\) | −1.03936 | − | 1.80023i | −0.0369322 | − | 0.0639684i | ||||
\(793\) | −8.45336 | + | 14.6417i | −0.300188 | + | 0.519940i | ||||
\(794\) | 3.42602 | + | 5.93404i | 0.121585 | + | 0.210591i | ||||
\(795\) | −12.5817 | + | 21.7922i | −0.446228 | + | 0.772889i | ||||
\(796\) | −5.04189 | + | 8.73281i | −0.178705 | + | 0.309526i | ||||
\(797\) | −31.0951 | −1.10145 | −0.550723 | − | 0.834688i | \(-0.685648\pi\) | ||||
−0.550723 | + | 0.834688i | \(0.685648\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −51.4047 | −1.81857 | ||||||||
\(800\) | −0.500000 | + | 0.866025i | −0.0176777 | + | 0.0306186i | ||||
\(801\) | −2.52569 | + | 4.37463i | −0.0892409 | + | 0.154570i | ||||
\(802\) | −2.37346 | − | 4.11095i | −0.0838096 | − | 0.145163i | ||||
\(803\) | −25.1065 | + | 43.4858i | −0.885990 | + | 1.53458i | ||||
\(804\) | 3.79813 | + | 6.57856i | 0.133950 | + | 0.232008i | ||||
\(805\) | −3.74329 | −0.131934 | ||||||||
\(806\) | 14.1284 | 0.497650 | ||||||||
\(807\) | 0.879385 | + | 1.52314i | 0.0309558 | + | 0.0536171i | ||||
\(808\) | −0.184793 | − | 0.320070i | −0.00650098 | − | 0.0112600i | ||||
\(809\) | 22.3037 | 0.784155 | 0.392077 | − | 0.919932i | \(-0.371757\pi\) | ||||
0.392077 | + | 0.919932i | \(0.371757\pi\) | |||||||
\(810\) | 13.2317 | 0.464916 | ||||||||
\(811\) | 1.65951 | + | 2.87436i | 0.0582733 | + | 0.100932i | 0.893690 | − | 0.448684i | \(-0.148107\pi\) |
−0.835417 | + | 0.549616i | \(0.814774\pi\) | |||||||
\(812\) | −3.80335 | + | 6.58759i | −0.133471 | + | 0.231179i | ||||
\(813\) | 15.3628 | + | 26.6091i | 0.538796 | + | 0.933222i | ||||
\(814\) | 6.95811 | − | 12.0518i | 0.243882 | − | 0.422415i | ||||
\(815\) | −17.0496 | + | 29.5308i | −0.597222 | + | 1.03442i | ||||
\(816\) | 9.98545 | 0.349561 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 31.6928 | 1.10811 | ||||||||
\(819\) | 5.06418 | − | 8.77141i | 0.176957 | − | 0.306498i | ||||
\(820\) | −0.347296 | + | 0.601535i | −0.0121281 | + | 0.0210065i | ||||
\(821\) | 0.916222 | + | 1.58694i | 0.0319764 | + | 0.0553847i | 0.881571 | − | 0.472052i | \(-0.156487\pi\) |
−0.849594 | + | 0.527437i | \(0.823153\pi\) | |||||||
\(822\) | 8.93242 | − | 15.4714i | 0.311554 | − | 0.539627i | ||||
\(823\) | 17.1189 | + | 29.6507i | 0.596726 | + | 1.03356i | 0.993301 | + | 0.115557i | \(0.0368654\pi\) |
−0.396575 | + | 0.918002i | \(0.629801\pi\) | |||||||
\(824\) | 8.58172 | 0.298958 | ||||||||
\(825\) | 4.87939 | 0.169878 | ||||||||
\(826\) | −0.773318 | − | 1.33943i | −0.0269072 | − | 0.0466046i | ||||
\(827\) | −9.93289 | − | 17.2043i | −0.345400 | − | 0.598251i | 0.640026 | − | 0.768353i | \(-0.278924\pi\) |
−0.985426 | + | 0.170102i | \(0.945590\pi\) | |||||||
\(828\) | 0.453363 | 0.0157555 | ||||||||
\(829\) | 35.7351 | 1.24113 | 0.620565 | − | 0.784155i | \(-0.286903\pi\) | ||||
0.620565 | + | 0.784155i | \(0.286903\pi\) | |||||||
\(830\) | 8.47565 | + | 14.6803i | 0.294194 | + | 0.509559i | ||||
\(831\) | 13.2986 | − | 23.0339i | 0.461323 | − | 0.799035i | ||||
\(832\) | −2.87939 | − | 4.98724i | −0.0998247 | − | 0.172901i | ||||
\(833\) | 0.849985 | − | 1.47222i | 0.0294502 | − | 0.0510093i | ||||
\(834\) | 6.33022 | − | 10.9643i | 0.219198 | − | 0.379661i | ||||
\(835\) | 6.38507 | 0.220964 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.7297 | −0.474567 | ||||||||
\(838\) | −5.50505 | + | 9.53503i | −0.190169 | + | 0.329382i | ||||
\(839\) | −27.1976 | + | 47.1076i | −0.938965 | + | 1.62633i | −0.171559 | + | 0.985174i | \(0.554880\pi\) |
−0.767406 | + | 0.641161i | \(0.778453\pi\) | |||||||
\(840\) | −4.12836 | − | 7.15052i | −0.142442 | − | 0.246716i | ||||
\(841\) | 10.5155 | − | 18.2133i | 0.362603 | − | 0.628046i | ||||
\(842\) | 4.33275 | + | 7.50454i | 0.149316 | + | 0.258624i | ||||
\(843\) | 4.47565 | 0.154150 | ||||||||
\(844\) | 22.3601 | 0.769666 | ||||||||
\(845\) | −20.1634 | − | 34.9241i | −0.693643 | − | 1.20143i | ||||
\(846\) | −2.57398 | − | 4.45826i | −0.0884952 | − | 0.153278i | ||||
\(847\) | −2.30953 | −0.0793563 | ||||||||
\(848\) | −8.21213 | −0.282006 | ||||||||
\(849\) | −7.26264 | − | 12.5793i | −0.249253 | − | 0.431719i | ||||
\(850\) | 3.25877 | − | 5.64436i | 0.111775 | − | 0.193600i | ||||
\(851\) | 1.51754 | + | 2.62846i | 0.0520206 | + | 0.0901024i | ||||
\(852\) | 6.47565 | − | 11.2162i | 0.221852 | − | 0.384259i | ||||
\(853\) | −7.98814 | + | 13.8359i | −0.273509 | + | 0.473731i | −0.969758 | − | 0.244069i | \(-0.921518\pi\) |
0.696249 | + | 0.717800i | \(0.254851\pi\) | |||||||
\(854\) | −7.91085 | −0.270704 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −11.4534 | −0.391468 | ||||||||
\(857\) | −13.0073 | + | 22.5293i | −0.444320 | + | 0.769585i | −0.998005 | − | 0.0631417i | \(-0.979888\pi\) |
0.553685 | + | 0.832726i | \(0.313221\pi\) | |||||||
\(858\) | −14.0496 | + | 24.3347i | −0.479646 | + | 0.830772i | ||||
\(859\) | −26.6352 | − | 46.1336i | −0.908782 | − | 1.57406i | −0.815759 | − | 0.578393i | \(-0.803680\pi\) |
−0.0930234 | − | 0.995664i | \(-0.529653\pi\) | |||||||
\(860\) | −6.06418 | + | 10.5035i | −0.206787 | + | 0.358165i | ||||
\(861\) | 0.716881 | + | 1.24168i | 0.0244313 | + | 0.0423162i | ||||
\(862\) | −29.8871 | −1.01796 | ||||||||
\(863\) | −3.23173 | −0.110010 | −0.0550048 | − | 0.998486i | \(-0.517517\pi\) | ||||
−0.0550048 | + | 0.998486i | \(0.517517\pi\) | |||||||
\(864\) | 2.79813 | + | 4.84651i | 0.0951944 | + | 0.164882i | ||||
\(865\) | 9.63041 | + | 16.6804i | 0.327444 | + | 0.567150i | ||||
\(866\) | 9.26083 | 0.314696 | ||||||||
\(867\) | −39.0351 | −1.32570 | ||||||||
\(868\) | 3.30541 | + | 5.72513i | 0.112193 | + | 0.194324i | ||||
\(869\) | −14.4338 | + | 25.0000i | −0.489632 | + | 0.848067i | ||||
\(870\) | −4.32501 | − | 7.49113i | −0.146631 | − | 0.253973i | ||||
\(871\) | −14.2763 | + | 24.7273i | −0.483734 | + | 0.837852i | ||||
\(872\) | −4.34730 | + | 7.52974i | −0.147218 | + | 0.254989i | ||||
\(873\) | −0.226682 | −0.00767201 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −32.3351 | −1.09313 | ||||||||
\(876\) | 12.0778 | − | 20.9194i | 0.408073 | − | 0.706803i | ||||
\(877\) | 5.86215 | − | 10.1535i | 0.197951 | − | 0.342861i | −0.749913 | − | 0.661536i | \(-0.769905\pi\) |
0.947864 | + | 0.318676i | \(0.103238\pi\) | |||||||
\(878\) | −10.4311 | − | 18.0672i | −0.352032 | − | 0.609737i | ||||
\(879\) | 20.9067 | − | 36.2115i | 0.705166 | − | 1.22138i | ||||
\(880\) | −3.18479 | − | 5.51622i | −0.107359 | − | 0.185952i | ||||
\(881\) | 27.0473 | 0.911246 | 0.455623 | − | 0.890173i | \(-0.349417\pi\) | ||||
0.455623 | + | 0.890173i | \(0.349417\pi\) | |||||||
\(882\) | 0.170245 | 0.00573243 | ||||||||
\(883\) | −7.24051 | − | 12.5409i | −0.243663 | − | 0.422036i | 0.718092 | − | 0.695948i | \(-0.245016\pi\) |
−0.961755 | + | 0.273912i | \(0.911682\pi\) | |||||||
\(884\) | 18.7665 | + | 32.5046i | 0.631186 | + | 1.09325i | ||||
\(885\) | 1.75877 | 0.0591204 | ||||||||
\(886\) | −23.8280 | −0.800517 | ||||||||
\(887\) | −5.79561 | − | 10.0383i | −0.194597 | − | 0.337053i | 0.752171 | − | 0.658968i | \(-0.229007\pi\) |
−0.946768 | + | 0.321915i | \(0.895673\pi\) | |||||||
\(888\) | −3.34730 | + | 5.79769i | −0.112328 | + | 0.194558i | ||||
\(889\) | 13.1088 | + | 22.7050i | 0.439654 | + | 0.761502i | ||||
\(890\) | −7.73917 | + | 13.4046i | −0.259418 | + | 0.449324i | ||||
\(891\) | 10.5351 | − | 18.2473i | 0.352939 | − | 0.611307i | ||||
\(892\) | 9.27631 | 0.310594 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −25.2080 | −0.843082 | ||||||||
\(895\) | 18.8161 | − | 32.5905i | 0.628954 | − | 1.08938i | ||||
\(896\) | 1.34730 | − | 2.33359i | 0.0450100 | − | 0.0779596i | ||||
\(897\) | −3.06418 | − | 5.30731i | −0.102310 | − | 0.177206i | ||||
\(898\) | 1.09105 | − | 1.88976i | 0.0364089 | − | 0.0630620i | ||||
\(899\) | 3.46286 | + | 5.99785i | 0.115493 | + | 0.200039i | ||||
\(900\) | 0.652704 | 0.0217568 | ||||||||
\(901\) | 53.5229 | 1.78311 | ||||||||
\(902\) | 0.553033 | + | 0.957882i | 0.0184140 | + | 0.0318940i | ||||
\(903\) | 12.5175 | + | 21.6810i | 0.416558 | + | 0.721499i | ||||
\(904\) | 2.85978 | 0.0951150 | ||||||||
\(905\) | −5.55674 | −0.184712 | ||||||||
\(906\) | 3.56624 | + | 6.17690i | 0.118480 | + | 0.205214i | ||||
\(907\) | 20.9893 | − | 36.3546i | 0.696939 | − | 1.20713i | −0.272584 | − | 0.962132i | \(-0.587878\pi\) |
0.969523 | − | 0.245002i | \(-0.0787885\pi\) | |||||||
\(908\) | 3.86824 | + | 6.69999i | 0.128372 | + | 0.222347i | ||||
\(909\) | −0.120615 | + | 0.208911i | −0.00400054 | + | 0.00692914i | ||||
\(910\) | 15.5175 | − | 26.8772i | 0.514401 | − | 0.890969i | ||||
\(911\) | 44.8675 | 1.48653 | 0.743264 | − | 0.668999i | \(-0.233277\pi\) | ||||
0.743264 | + | 0.668999i | \(0.233277\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 26.9932 | 0.893344 | ||||||||
\(914\) | 0.890530 | − | 1.54244i | 0.0294561 | − | 0.0510195i | ||||
\(915\) | 4.49794 | − | 7.79066i | 0.148697 | − | 0.257551i | ||||
\(916\) | 11.5175 | + | 19.9490i | 0.380550 | + | 0.659132i | ||||
\(917\) | 8.71419 | − | 15.0934i | 0.287768 | − | 0.498429i | ||||
\(918\) | −18.2369 | − | 31.5873i | −0.601909 | − | 1.04254i | ||||
\(919\) | −32.5270 | −1.07297 | −0.536484 | − | 0.843911i | \(-0.680248\pi\) | ||||
−0.536484 | + | 0.843911i | \(0.680248\pi\) | |||||||
\(920\) | 1.38919 | 0.0458001 | ||||||||
\(921\) | −16.3387 | − | 28.2994i | −0.538378 | − | 0.932498i | ||||
\(922\) | −7.74422 | − | 13.4134i | −0.255042 | − | 0.441746i | ||||
\(923\) | 48.6810 | 1.60235 | ||||||||
\(924\) | −13.1480 | −0.432536 | ||||||||
\(925\) | 2.18479 | + | 3.78417i | 0.0718355 | + | 0.124423i | ||||
\(926\) | −1.35504 | + | 2.34699i | −0.0445293 | + | 0.0771270i | ||||
\(927\) | −2.80066 | − | 4.85088i | −0.0919857 | − | 0.159324i | ||||
\(928\) | 1.41147 | − | 2.44474i | 0.0463339 | − | 0.0802527i | ||||
\(929\) | −5.92009 | + | 10.2539i | −0.194232 | + | 0.336420i | −0.946648 | − | 0.322268i | \(-0.895555\pi\) |
0.752417 | + | 0.658688i | \(0.228888\pi\) | |||||||
\(930\) | −7.51754 | −0.246510 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 8.39961 | 0.275139 | ||||||||
\(933\) | −22.4388 | + | 38.8652i | −0.734614 | + | 1.27239i | ||||
\(934\) | 6.45677 | − | 11.1834i | 0.211272 | − | 0.365934i | ||||
\(935\) | 20.7570 | + | 35.9522i | 0.678827 | + | 1.17576i | ||||
\(936\) | −1.87939 | + | 3.25519i | −0.0614296 | + | 0.106399i | ||||
\(937\) | 0.381911 | + | 0.661490i | 0.0124765 | + | 0.0216099i | 0.872196 | − | 0.489156i | \(-0.162695\pi\) |
−0.859720 | + | 0.510766i | \(0.829362\pi\) | |||||||
\(938\) | −13.3601 | −0.436222 | ||||||||
\(939\) | −8.52023 | −0.278047 | ||||||||
\(940\) | −7.88713 | − | 13.6609i | −0.257250 | − | 0.445570i | ||||
\(941\) | −10.7469 | − | 18.6142i | −0.350339 | − | 0.606805i | 0.635970 | − | 0.771714i | \(-0.280600\pi\) |
−0.986309 | + | 0.164909i | \(0.947267\pi\) | |||||||
\(942\) | 12.9513 | 0.421976 | ||||||||
\(943\) | −0.241230 | −0.00785551 | ||||||||
\(944\) | 0.286989 | + | 0.497079i | 0.00934070 | + | 0.0161786i | ||||
\(945\) | −15.0797 | + | 26.1187i | −0.490541 | + | 0.849643i | ||||
\(946\) | 9.65657 | + | 16.7257i | 0.313962 | + | 0.543799i | ||||
\(947\) | −15.8425 | + | 27.4401i | −0.514814 | + | 0.891683i | 0.485039 | + | 0.874493i | \(0.338806\pi\) |
−0.999852 | + | 0.0171907i | \(0.994528\pi\) | |||||||
\(948\) | 6.94356 | − | 12.0266i | 0.225516 | − | 0.390606i | ||||
\(949\) | 90.7957 | 2.94735 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.82707 | 0.188956 | ||||||||
\(952\) | −8.78106 | + | 15.2092i | −0.284596 | + | 0.492934i | ||||
\(953\) | 27.9356 | − | 48.3858i | 0.904922 | − | 1.56737i | 0.0839001 | − | 0.996474i | \(-0.473262\pi\) |
0.821022 | − | 0.570897i | \(-0.193404\pi\) | |||||||
\(954\) | 2.68004 | + | 4.64197i | 0.0867697 | + | 0.150289i | ||||
\(955\) | −9.56212 | + | 16.5621i | −0.309423 | + | 0.535936i | ||||
\(956\) | 7.86484 | + | 13.6223i | 0.254367 | + | 0.440577i | ||||
\(957\) | −13.7743 | −0.445258 | ||||||||
\(958\) | 18.5526 | 0.599408 | ||||||||
\(959\) | 15.7101 | + | 27.2106i | 0.507305 | + | 0.878678i | ||||
\(960\) | 1.53209 | + | 2.65366i | 0.0494480 | + | 0.0856464i | ||||
\(961\) | −24.9810 | −0.805839 | ||||||||
\(962\) | −25.1634 | −0.811302 | ||||||||
\(963\) | 3.73783 | + | 6.47410i | 0.120450 | + | 0.208625i | ||||
\(964\) | 8.75150 | − | 15.1580i | 0.281867 | − | 0.488207i | ||||
\(965\) | −23.6810 | − | 41.0167i | −0.762318 | − | 1.32037i | ||||
\(966\) | 1.43376 | − | 2.48335i | 0.0461306 | − | 0.0799005i | ||||
\(967\) | −10.7784 | + | 18.6687i | −0.346609 | + | 0.600344i | −0.985645 | − | 0.168833i | \(-0.946000\pi\) |
0.639036 | + | 0.769177i | \(0.279334\pi\) | |||||||
\(968\) | 0.857097 | 0.0275481 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.694593 | −0.0223020 | ||||||||
\(971\) | 24.3282 | − | 42.1376i | 0.780728 | − | 1.35226i | −0.150790 | − | 0.988566i | \(-0.548182\pi\) |
0.931518 | − | 0.363695i | \(-0.118485\pi\) | |||||||
\(972\) | 3.32635 | − | 5.76141i | 0.106693 | − | 0.184797i | ||||
\(973\) | 11.1334 | + | 19.2836i | 0.356921 | + | 0.618205i | ||||
\(974\) | −20.5868 | + | 35.6573i | −0.659643 | + | 1.14253i | ||||
\(975\) | −4.41147 | − | 7.64090i | −0.141280 | − | 0.244705i | ||||
\(976\) | 2.93582 | 0.0939734 | ||||||||
\(977\) | 50.5482 | 1.61718 | 0.808590 | − | 0.588373i | \(-0.200231\pi\) | ||||
0.808590 | + | 0.588373i | \(0.200231\pi\) | |||||||
\(978\) | −13.0608 | − | 22.6219i | −0.417638 | − | 0.723369i | ||||
\(979\) | 12.3238 | + | 21.3455i | 0.393871 | + | 0.682205i | ||||
\(980\) | 0.521660 | 0.0166638 | ||||||||
\(981\) | 5.67499 | 0.181189 | ||||||||
\(982\) | −11.2888 | − | 19.5528i | −0.360240 | − | 0.623954i | ||||
\(983\) | −15.0300 | + | 26.0328i | −0.479383 | + | 0.830317i | −0.999720 | − | 0.0236445i | \(-0.992473\pi\) |
0.520337 | + | 0.853961i | \(0.325806\pi\) | |||||||
\(984\) | −0.266044 | − | 0.460802i | −0.00848119 | − | 0.0146898i | ||||
\(985\) | 22.9222 | − | 39.7024i | 0.730362 | − | 1.26502i | ||||
\(986\) | −9.19934 | + | 15.9337i | −0.292967 | + | 0.507433i | ||||
\(987\) | −32.5609 | −1.03642 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.21213 | −0.133938 | ||||||||
\(990\) | −2.07873 | + | 3.60046i | −0.0660662 | + | 0.114430i | ||||
\(991\) | 1.37639 | − | 2.38398i | 0.0437225 | − | 0.0757297i | −0.843336 | − | 0.537387i | \(-0.819412\pi\) |
0.887059 | + | 0.461657i | \(0.152745\pi\) | |||||||
\(992\) | −1.22668 | − | 2.12467i | −0.0389472 | − | 0.0674585i | ||||
\(993\) | −15.6441 | + | 27.0964i | −0.496450 | + | 0.859877i | ||||
\(994\) | 11.3892 | + | 19.7266i | 0.361243 | + | 0.625691i | ||||
\(995\) | 20.1676 | 0.639355 | ||||||||
\(996\) | −12.9855 | −0.411460 | ||||||||
\(997\) | −4.35235 | − | 7.53849i | −0.137840 | − | 0.238746i | 0.788839 | − | 0.614600i | \(-0.210683\pi\) |
−0.926679 | + | 0.375854i | \(0.877349\pi\) | |||||||
\(998\) | −14.6643 | − | 25.3993i | −0.464191 | − | 0.804002i | ||||
\(999\) | 24.4534 | 0.773670 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))