Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(14,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.h (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.2 | ||
Character | \(\chi\) | \(=\) | 75.14 |
Dual form | 75.3.h.a.59.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.79240 | + | 2.02880i | −1.39620 | + | 1.01440i | −0.401048 | + | 0.916057i | \(0.631354\pi\) |
−0.995153 | + | 0.0983417i | \(0.968646\pi\) | |||||||
\(3\) | −2.73887 | + | 1.22418i | −0.912956 | + | 0.408059i | ||||
\(4\) | 2.44541 | − | 7.52621i | 0.611353 | − | 1.88155i | ||||
\(5\) | −1.27184 | − | 4.83554i | −0.254369 | − | 0.967107i | ||||
\(6\) | 5.16441 | − | 8.97500i | 0.860734 | − | 1.49583i | ||||
\(7\) | 4.79411i | 0.684872i | 0.939541 | + | 0.342436i | \(0.111252\pi\) | ||||
−0.939541 | + | 0.342436i | \(0.888748\pi\) | |||||||
\(8\) | 4.17417 | + | 12.8468i | 0.521771 | + | 1.60585i | ||||
\(9\) | 6.00278 | − | 6.70572i | 0.666976 | − | 0.745079i | ||||
\(10\) | 13.3618 | + | 10.9224i | 1.33618 | + | 1.09224i | ||||
\(11\) | 3.78331 | + | 5.20729i | 0.343938 | + | 0.473390i | 0.945586 | − | 0.325371i | \(-0.105489\pi\) |
−0.601649 | + | 0.798761i | \(0.705489\pi\) | |||||||
\(12\) | 2.51575 | + | 23.6069i | 0.209646 | + | 1.96724i | ||||
\(13\) | 10.0282 | − | 13.8026i | 0.771399 | − | 1.06174i | −0.224780 | − | 0.974409i | \(-0.572166\pi\) |
0.996179 | − | 0.0873303i | \(-0.0278336\pi\) | |||||||
\(14\) | −9.72627 | − | 13.3871i | −0.694734 | − | 0.956219i | ||||
\(15\) | 9.40296 | + | 11.6869i | 0.626864 | + | 0.779129i | ||||
\(16\) | −12.1108 | − | 8.79899i | −0.756923 | − | 0.549937i | ||||
\(17\) | −7.53221 | − | 23.1818i | −0.443071 | − | 1.36363i | −0.884585 | − | 0.466379i | \(-0.845558\pi\) |
0.441514 | − | 0.897254i | \(-0.354442\pi\) | |||||||
\(18\) | −3.15763 | + | 30.9035i | −0.175424 | + | 1.71686i | ||||
\(19\) | −2.98003 | − | 9.17158i | −0.156844 | − | 0.482715i | 0.841500 | − | 0.540258i | \(-0.181673\pi\) |
−0.998343 | + | 0.0575432i | \(0.981673\pi\) | |||||||
\(20\) | −39.5034 | − | 2.25272i | −1.97517 | − | 0.112636i | ||||
\(21\) | −5.86883 | − | 13.1304i | −0.279468 | − | 0.625258i | ||||
\(22\) | −21.1291 | − | 6.86525i | −0.960412 | − | 0.312057i | ||||
\(23\) | 28.8553 | − | 20.9646i | 1.25458 | − | 0.911506i | 0.256102 | − | 0.966650i | \(-0.417562\pi\) |
0.998478 | + | 0.0551437i | \(0.0175617\pi\) | |||||||
\(24\) | −27.1592 | − | 30.0757i | −1.13163 | − | 1.25315i | ||||
\(25\) | −21.7648 | + | 12.3001i | −0.870593 | + | 0.492004i | ||||
\(26\) | 58.8876i | 2.26491i | ||||||||
\(27\) | −8.23184 | + | 25.7145i | −0.304883 | + | 0.952390i | ||||
\(28\) | 36.0814 | + | 11.7236i | 1.28862 | + | 0.418699i | ||||
\(29\) | 11.9737 | + | 3.89048i | 0.412885 | + | 0.134154i | 0.508091 | − | 0.861303i | \(-0.330351\pi\) |
−0.0952067 | + | 0.995458i | \(0.530351\pi\) | |||||||
\(30\) | −49.9673 | − | 13.5579i | −1.66558 | − | 0.451929i | ||||
\(31\) | −16.0217 | − | 49.3096i | −0.516828 | − | 1.59063i | −0.779932 | − | 0.625865i | \(-0.784746\pi\) |
0.263104 | − | 0.964768i | \(-0.415254\pi\) | |||||||
\(32\) | −2.36210 | −0.0738155 | ||||||||
\(33\) | −16.7366 | − | 9.63061i | −0.507171 | − | 0.291837i | ||||
\(34\) | 68.0641 | + | 49.4514i | 2.00188 | + | 1.45445i | ||||
\(35\) | 23.1821 | − | 6.09735i | 0.662345 | − | 0.174210i | ||||
\(36\) | −35.7893 | − | 61.5764i | −0.994148 | − | 1.71046i | ||||
\(37\) | −16.7155 | + | 23.0069i | −0.451769 | + | 0.621807i | −0.972777 | − | 0.231745i | \(-0.925556\pi\) |
0.521007 | + | 0.853552i | \(0.325556\pi\) | |||||||
\(38\) | 26.9287 | + | 19.5649i | 0.708650 | + | 0.514865i | ||||
\(39\) | −10.5690 | + | 50.0798i | −0.271001 | + | 1.28410i | ||||
\(40\) | 56.8122 | − | 36.5234i | 1.42030 | − | 0.913086i | ||||
\(41\) | 9.29508 | − | 12.7936i | 0.226709 | − | 0.312039i | −0.680476 | − | 0.732771i | \(-0.738227\pi\) |
0.907185 | + | 0.420732i | \(0.138227\pi\) | |||||||
\(42\) | 43.0271 | + | 24.7587i | 1.02445 | + | 0.589493i | ||||
\(43\) | − | 8.20810i | − | 0.190886i | −0.995435 | − | 0.0954430i | \(-0.969573\pi\) | ||
0.995435 | − | 0.0954430i | \(-0.0304268\pi\) | |||||||
\(44\) | 48.4429 | − | 15.7400i | 1.10097 | − | 0.357728i | ||||
\(45\) | −40.0603 | − | 20.4980i | −0.890230 | − | 0.455512i | ||||
\(46\) | −38.0427 | + | 117.083i | −0.827015 | + | 2.54529i | ||||
\(47\) | 1.74488 | − | 5.37018i | 0.0371250 | − | 0.114259i | −0.930777 | − | 0.365589i | \(-0.880868\pi\) |
0.967902 | + | 0.251329i | \(0.0808677\pi\) | |||||||
\(48\) | 43.9413 | + | 9.27353i | 0.915444 | + | 0.193199i | ||||
\(49\) | 26.0166 | 0.530950 | ||||||||
\(50\) | 35.8217 | − | 78.5032i | 0.716434 | − | 1.57006i | ||||
\(51\) | 49.0083 | + | 54.2710i | 0.960947 | + | 1.06414i | ||||
\(52\) | −79.3583 | − | 109.227i | −1.52612 | − | 2.10053i | ||||
\(53\) | 0.677064 | − | 2.08379i | 0.0127748 | − | 0.0393167i | −0.944466 | − | 0.328609i | \(-0.893420\pi\) |
0.957241 | + | 0.289293i | \(0.0934201\pi\) | |||||||
\(54\) | −29.1830 | − | 88.5060i | −0.540426 | − | 1.63900i | ||||
\(55\) | 20.3682 | − | 24.9172i | 0.370332 | − | 0.453040i | ||||
\(56\) | −61.5888 | + | 20.0114i | −1.09980 | + | 0.357347i | ||||
\(57\) | 19.3895 | + | 21.4717i | 0.340167 | + | 0.376696i | ||||
\(58\) | −41.3282 | + | 13.4284i | −0.712556 | + | 0.231523i | ||||
\(59\) | −46.4201 | + | 63.8918i | −0.786782 | + | 1.08291i | 0.207720 | + | 0.978188i | \(0.433396\pi\) |
−0.994501 | + | 0.104724i | \(0.966604\pi\) | |||||||
\(60\) | 110.952 | − | 42.1893i | 1.84921 | − | 0.703155i | ||||
\(61\) | −13.8436 | + | 10.0580i | −0.226945 | + | 0.164885i | −0.695447 | − | 0.718577i | \(-0.744794\pi\) |
0.468502 | + | 0.883462i | \(0.344794\pi\) | |||||||
\(62\) | 144.778 | + | 105.187i | 2.33513 | + | 1.69657i | ||||
\(63\) | 32.1479 | + | 28.7780i | 0.510284 | + | 0.456793i | ||||
\(64\) | 55.0390 | − | 39.9882i | 0.859984 | − | 0.624815i | ||||
\(65\) | −79.4974 | − | 30.9369i | −1.22304 | − | 0.475952i | ||||
\(66\) | 66.2740 | − | 7.06271i | 1.00415 | − | 0.107011i | ||||
\(67\) | 13.6362 | − | 4.43067i | 0.203525 | − | 0.0661294i | −0.205480 | − | 0.978661i | \(-0.565876\pi\) |
0.409006 | + | 0.912532i | \(0.365876\pi\) | |||||||
\(68\) | −192.890 | −2.83662 | ||||||||
\(69\) | −53.3665 | + | 92.7434i | −0.773428 | + | 1.34411i | ||||
\(70\) | −52.3633 | + | 64.0580i | −0.748048 | + | 0.915114i | ||||
\(71\) | 18.4263 | + | 5.98707i | 0.259526 | + | 0.0843250i | 0.435890 | − | 0.900000i | \(-0.356434\pi\) |
−0.176364 | + | 0.984325i | \(0.556434\pi\) | |||||||
\(72\) | 111.203 | + | 49.1256i | 1.54449 | + | 0.682300i | ||||
\(73\) | −76.5887 | − | 105.415i | −1.04916 | − | 1.44405i | −0.889534 | − | 0.456868i | \(-0.848971\pi\) |
−0.159626 | − | 0.987177i | \(-0.551029\pi\) | |||||||
\(74\) | − | 98.1567i | − | 1.32644i | ||||||
\(75\) | 44.5535 | − | 60.3323i | 0.594046 | − | 0.804431i | ||||
\(76\) | −76.3146 | −1.00414 | ||||||||
\(77\) | −24.9643 | + | 18.1376i | −0.324211 | + | 0.235553i | ||||
\(78\) | −72.0889 | − | 161.285i | −0.924216 | − | 2.06776i | ||||
\(79\) | −5.48956 | + | 16.8951i | −0.0694881 | + | 0.213862i | −0.979770 | − | 0.200126i | \(-0.935865\pi\) |
0.910282 | + | 0.413989i | \(0.135865\pi\) | |||||||
\(80\) | −27.1448 | + | 69.7530i | −0.339310 | + | 0.871913i | ||||
\(81\) | −8.93323 | − | 80.5059i | −0.110287 | − | 0.993900i | ||||
\(82\) | 54.5826i | 0.665642i | ||||||||
\(83\) | −10.3048 | − | 31.7148i | −0.124154 | − | 0.382106i | 0.869592 | − | 0.493771i | \(-0.164382\pi\) |
−0.993746 | + | 0.111664i | \(0.964382\pi\) | |||||||
\(84\) | −113.174 | + | 12.0608i | −1.34731 | + | 0.143581i | ||||
\(85\) | −102.516 | + | 65.9059i | −1.20608 | + | 0.775363i | ||||
\(86\) | 16.6526 | + | 22.9203i | 0.193635 | + | 0.266515i | ||||
\(87\) | −37.5569 | + | 4.00238i | −0.431688 | + | 0.0460043i | ||||
\(88\) | −51.1046 | + | 70.3395i | −0.580734 | + | 0.799312i | ||||
\(89\) | 32.2511 | + | 44.3899i | 0.362372 | + | 0.498763i | 0.950808 | − | 0.309782i | \(-0.100256\pi\) |
−0.588436 | + | 0.808544i | \(0.700256\pi\) | |||||||
\(90\) | 153.451 | − | 24.0356i | 1.70501 | − | 0.267062i | ||||
\(91\) | 66.1712 | + | 48.0762i | 0.727156 | + | 0.528310i | ||||
\(92\) | −87.2210 | − | 268.439i | −0.948054 | − | 2.91781i | ||||
\(93\) | 104.245 | + | 115.439i | 1.12091 | + | 1.24128i | ||||
\(94\) | 6.02261 | + | 18.5357i | 0.0640703 | + | 0.197188i | ||||
\(95\) | −40.5594 | + | 26.0748i | −0.426941 | + | 0.274472i | ||||
\(96\) | 6.46946 | − | 2.89162i | 0.0673903 | − | 0.0301211i | ||||
\(97\) | 149.045 | + | 48.4277i | 1.53655 | + | 0.499255i | 0.950421 | − | 0.310965i | \(-0.100652\pi\) |
0.586126 | + | 0.810220i | \(0.300652\pi\) | |||||||
\(98\) | −72.6486 | + | 52.7823i | −0.741313 | + | 0.538595i | ||||
\(99\) | 57.6290 | + | 5.88837i | 0.582111 | + | 0.0594785i | ||||
\(100\) | 39.3491 | + | 193.885i | 0.393491 | + | 1.93885i | ||||
\(101\) | − | 92.0605i | − | 0.911490i | −0.890110 | − | 0.455745i | \(-0.849373\pi\) | ||
0.890110 | − | 0.455745i | \(-0.150627\pi\) | |||||||
\(102\) | −246.956 | − | 52.1184i | −2.42113 | − | 0.510965i | ||||
\(103\) | 174.917 | + | 56.8339i | 1.69822 | + | 0.551786i | 0.988304 | − | 0.152499i | \(-0.0487320\pi\) |
0.709918 | + | 0.704284i | \(0.248732\pi\) | |||||||
\(104\) | 219.178 | + | 71.2154i | 2.10749 | + | 0.684764i | ||||
\(105\) | −56.0284 | + | 45.0788i | −0.533603 | + | 0.429322i | ||||
\(106\) | 2.33695 | + | 7.19239i | 0.0220467 | + | 0.0678528i | ||||
\(107\) | 32.7249 | 0.305840 | 0.152920 | − | 0.988239i | \(-0.451132\pi\) | ||||
0.152920 | + | 0.988239i | \(0.451132\pi\) | |||||||
\(108\) | 173.403 | + | 124.837i | 1.60558 | + | 1.15590i | ||||
\(109\) | −42.7420 | − | 31.0538i | −0.392128 | − | 0.284898i | 0.374199 | − | 0.927348i | \(-0.377918\pi\) |
−0.766327 | + | 0.642451i | \(0.777918\pi\) | |||||||
\(110\) | −6.32429 | + | 110.902i | −0.0574935 | + | 1.00820i | ||||
\(111\) | 17.6170 | − | 83.4754i | 0.158711 | − | 0.752031i | ||||
\(112\) | 42.1833 | − | 58.0603i | 0.376637 | − | 0.518396i | ||||
\(113\) | −4.49772 | − | 3.26779i | −0.0398028 | − | 0.0289185i | 0.567706 | − | 0.823231i | \(-0.307831\pi\) |
−0.607509 | + | 0.794313i | \(0.707831\pi\) | |||||||
\(114\) | −97.7050 | − | 20.6200i | −0.857061 | − | 0.180877i | ||||
\(115\) | −138.075 | − | 112.867i | −1.20065 | − | 0.981455i | ||||
\(116\) | 58.5611 | − | 80.6024i | 0.504837 | − | 0.694848i | ||||
\(117\) | −32.3594 | − | 150.100i | −0.276576 | − | 1.28291i | ||||
\(118\) | − | 272.589i | − | 2.31007i | ||||||
\(119\) | 111.136 | − | 36.1102i | 0.933915 | − | 0.303447i | ||||
\(120\) | −110.890 | + | 169.581i | −0.924081 | + | 1.41317i | ||||
\(121\) | 24.5887 | − | 75.6762i | 0.203212 | − | 0.625423i | ||||
\(122\) | 18.2514 | − | 56.1719i | 0.149601 | − | 0.460425i | ||||
\(123\) | −9.79638 | + | 46.4187i | −0.0796454 | + | 0.377388i | ||||
\(124\) | −410.294 | −3.30882 | ||||||||
\(125\) | 87.1590 | + | 89.6008i | 0.697272 | + | 0.716806i | ||||
\(126\) | −148.155 | − | 15.1380i | −1.17583 | − | 0.120143i | ||||
\(127\) | −9.97381 | − | 13.7278i | −0.0785339 | − | 0.108093i | 0.767943 | − | 0.640519i | \(-0.221281\pi\) |
−0.846477 | + | 0.532426i | \(0.821281\pi\) | |||||||
\(128\) | −69.6433 | + | 214.340i | −0.544088 | + | 1.67453i | ||||
\(129\) | 10.0482 | + | 22.4809i | 0.0778928 | + | 0.174270i | ||||
\(130\) | 284.753 | − | 74.8958i | 2.19041 | − | 0.576122i | ||||
\(131\) | −141.214 | + | 45.8832i | −1.07797 | + | 0.350254i | −0.793587 | − | 0.608457i | \(-0.791789\pi\) |
−0.284383 | + | 0.958711i | \(0.591789\pi\) | |||||||
\(132\) | −113.410 | + | 102.413i | −0.859166 | + | 0.775852i | ||||
\(133\) | 43.9695 | − | 14.2866i | 0.330598 | − | 0.107418i | ||||
\(134\) | −29.0888 | + | 40.0373i | −0.217080 | + | 0.298786i | ||||
\(135\) | 134.813 | + | 7.10048i | 0.998616 | + | 0.0525961i | ||||
\(136\) | 266.370 | − | 193.529i | 1.95860 | − | 1.42301i | ||||
\(137\) | −90.4373 | − | 65.7066i | −0.660127 | − | 0.479610i | 0.206579 | − | 0.978430i | \(-0.433767\pi\) |
−0.866706 | + | 0.498820i | \(0.833767\pi\) | |||||||
\(138\) | −39.1369 | − | 367.247i | −0.283601 | − | 2.66121i | ||||
\(139\) | −9.29046 | + | 6.74992i | −0.0668379 | + | 0.0485605i | −0.620702 | − | 0.784046i | \(-0.713153\pi\) |
0.553865 | + | 0.832607i | \(0.313153\pi\) | |||||||
\(140\) | 10.7998 | − | 189.384i | 0.0771414 | − | 1.35274i | ||||
\(141\) | 1.79506 | + | 16.8442i | 0.0127310 | + | 0.119463i | ||||
\(142\) | −63.6002 | + | 20.6650i | −0.447889 | + | 0.145528i | ||||
\(143\) | 109.814 | 0.767930 | ||||||||
\(144\) | −131.702 | + | 28.3930i | −0.914596 | + | 0.197173i | ||||
\(145\) | 3.58392 | − | 62.8471i | 0.0247167 | − | 0.433428i | ||||
\(146\) | 427.733 | + | 138.979i | 2.92968 | + | 0.951910i | ||||
\(147\) | −71.2559 | + | 31.8489i | −0.484734 | + | 0.216659i | ||||
\(148\) | 132.278 | + | 182.065i | 0.893771 | + | 1.23017i | ||||
\(149\) | 24.7843i | 0.166337i | 0.996535 | + | 0.0831687i | \(0.0265040\pi\) | ||||
−0.996535 | + | 0.0831687i | \(0.973496\pi\) | |||||||
\(150\) | −2.00904 | + | 258.862i | −0.0133936 | + | 1.72575i | ||||
\(151\) | −50.5081 | −0.334491 | −0.167245 | − | 0.985915i | \(-0.553487\pi\) | ||||
−0.167245 | + | 0.985915i | \(0.553487\pi\) | |||||||
\(152\) | 105.386 | − | 76.5675i | 0.693329 | − | 0.503733i | ||||
\(153\) | −200.665 | − | 88.6462i | −1.31153 | − | 0.579387i | ||||
\(154\) | 32.9127 | − | 101.295i | 0.213719 | − | 0.657759i | ||||
\(155\) | −218.061 | + | 140.187i | −1.40685 | + | 0.904435i | ||||
\(156\) | 351.065 | + | 202.010i | 2.25042 | + | 1.29494i | ||||
\(157\) | 124.494i | 0.792952i | 0.918045 | + | 0.396476i | \(0.129767\pi\) | ||||
−0.918045 | + | 0.396476i | \(0.870233\pi\) | |||||||
\(158\) | −18.9477 | − | 58.3151i | −0.119922 | − | 0.369083i | ||||
\(159\) | 0.696538 | + | 6.53606i | 0.00438074 | + | 0.0411073i | ||||
\(160\) | 3.00422 | + | 11.4220i | 0.0187764 | + | 0.0713875i | ||||
\(161\) | 100.507 | + | 138.336i | 0.624265 | + | 0.859227i | ||||
\(162\) | 188.275 | + | 206.681i | 1.16219 | + | 1.27581i | ||||
\(163\) | −85.4298 | + | 117.584i | −0.524109 | + | 0.721374i | −0.986218 | − | 0.165449i | \(-0.947093\pi\) |
0.462109 | + | 0.886823i | \(0.347093\pi\) | |||||||
\(164\) | −73.5568 | − | 101.242i | −0.448517 | − | 0.617331i | ||||
\(165\) | −25.2828 | + | 93.1792i | −0.153229 | + | 0.564723i | ||||
\(166\) | 93.1180 | + | 67.6542i | 0.560952 | + | 0.407556i | ||||
\(167\) | 36.0606 | + | 110.983i | 0.215932 | + | 0.664569i | 0.999086 | + | 0.0427419i | \(0.0136093\pi\) |
−0.783155 | + | 0.621827i | \(0.786391\pi\) | |||||||
\(168\) | 144.186 | − | 130.204i | 0.858250 | − | 0.775025i | ||||
\(169\) | −37.7238 | − | 116.102i | −0.223218 | − | 0.686994i | ||||
\(170\) | 152.557 | − | 392.021i | 0.897396 | − | 2.30600i | ||||
\(171\) | −79.3904 | − | 35.0718i | −0.464272 | − | 0.205098i | ||||
\(172\) | −61.7758 | − | 20.0722i | −0.359162 | − | 0.116699i | ||||
\(173\) | −61.6697 | + | 44.8057i | −0.356472 | + | 0.258992i | −0.751579 | − | 0.659643i | \(-0.770708\pi\) |
0.395107 | + | 0.918635i | \(0.370708\pi\) | |||||||
\(174\) | 96.7538 | − | 87.3716i | 0.556057 | − | 0.502135i | ||||
\(175\) | −58.9680 | − | 104.343i | −0.336960 | − | 0.596245i | ||||
\(176\) | − | 96.3536i | − | 0.547464i | ||||||
\(177\) | 48.9236 | − | 231.818i | 0.276405 | − | 1.30970i | ||||
\(178\) | −180.116 | − | 58.5233i | −1.01189 | − | 0.328782i | ||||
\(179\) | 24.5279 | + | 7.96958i | 0.137027 | + | 0.0445228i | 0.376728 | − | 0.926324i | \(-0.377049\pi\) |
−0.239701 | + | 0.970847i | \(0.577049\pi\) | |||||||
\(180\) | −252.237 | + | 251.376i | −1.40131 | + | 1.39653i | ||||
\(181\) | 45.9748 | + | 141.496i | 0.254004 | + | 0.781745i | 0.994024 | + | 0.109160i | \(0.0348160\pi\) |
−0.740020 | + | 0.672585i | \(0.765184\pi\) | |||||||
\(182\) | −282.313 | −1.55117 | ||||||||
\(183\) | 25.6031 | − | 44.4946i | 0.139908 | − | 0.243140i | ||||
\(184\) | 389.775 | + | 283.188i | 2.11834 | + | 1.53907i | ||||
\(185\) | 132.510 | + | 51.5671i | 0.716270 | + | 0.278741i | ||||
\(186\) | −525.296 | − | 110.860i | −2.82417 | − | 0.596024i | ||||
\(187\) | 92.2174 | − | 126.926i | 0.493141 | − | 0.678750i | ||||
\(188\) | −36.1501 | − | 26.2646i | −0.192288 | − | 0.139705i | ||||
\(189\) | −123.278 | − | 39.4643i | −0.652265 | − | 0.208806i | ||||
\(190\) | 60.3574 | − | 155.098i | 0.317671 | − | 0.816306i | ||||
\(191\) | 9.46693 | − | 13.0301i | 0.0495651 | − | 0.0682205i | −0.783515 | − | 0.621373i | \(-0.786575\pi\) |
0.833080 | + | 0.553152i | \(0.186575\pi\) | |||||||
\(192\) | −101.792 | + | 176.900i | −0.530166 | + | 0.921353i | ||||
\(193\) | 199.019i | 1.03119i | 0.856834 | + | 0.515593i | \(0.172428\pi\) | ||||
−0.856834 | + | 0.515593i | \(0.827572\pi\) | |||||||
\(194\) | −514.444 | + | 167.153i | −2.65177 | + | 0.861613i | ||||
\(195\) | 255.605 | − | 12.5868i | 1.31079 | − | 0.0645477i | ||||
\(196\) | 63.6212 | − | 195.806i | 0.324598 | − | 0.999010i | ||||
\(197\) | 10.3055 | − | 31.7172i | 0.0523123 | − | 0.161001i | −0.921487 | − | 0.388408i | \(-0.873025\pi\) |
0.973800 | + | 0.227408i | \(0.0730250\pi\) | |||||||
\(198\) | −172.870 | + | 100.475i | −0.873078 | + | 0.507449i | ||||
\(199\) | −210.659 | −1.05859 | −0.529293 | − | 0.848439i | \(-0.677543\pi\) | ||||
−0.529293 | + | 0.848439i | \(0.677543\pi\) | |||||||
\(200\) | −248.867 | − | 228.265i | −1.24433 | − | 1.14133i | ||||
\(201\) | −31.9238 | + | 28.8281i | −0.158825 | + | 0.143423i | ||||
\(202\) | 186.772 | + | 257.070i | 0.924615 | + | 1.27262i | ||||
\(203\) | −18.6514 | + | 57.4030i | −0.0918786 | + | 0.282773i | ||||
\(204\) | 528.300 | − | 236.132i | 2.58971 | − | 1.15751i | ||||
\(205\) | −73.6857 | − | 28.6753i | −0.359443 | − | 0.139879i | ||||
\(206\) | −603.742 | + | 196.168i | −2.93079 | + | 0.952271i | ||||
\(207\) | 32.6295 | − | 319.342i | 0.157630 | − | 1.54271i | ||||
\(208\) | −242.898 | + | 78.9224i | −1.16778 | + | 0.379435i | ||||
\(209\) | 36.4847 | − | 50.2168i | 0.174568 | − | 0.240272i | ||||
\(210\) | 64.9979 | − | 239.548i | 0.309514 | − | 1.14071i | ||||
\(211\) | −98.7969 | + | 71.7801i | −0.468232 | + | 0.340190i | −0.796752 | − | 0.604307i | \(-0.793450\pi\) |
0.328520 | + | 0.944497i | \(0.393450\pi\) | |||||||
\(212\) | −14.0273 | − | 10.1914i | −0.0661666 | − | 0.0480728i | ||||
\(213\) | −57.7965 | + | 6.15928i | −0.271345 | + | 0.0289168i | ||||
\(214\) | −91.3810 | + | 66.3922i | −0.427014 | + | 0.310244i | ||||
\(215\) | −39.6906 | + | 10.4394i | −0.184607 | + | 0.0485554i | ||||
\(216\) | −364.710 | + | 1.58428i | −1.68847 | + | 0.00733463i | ||||
\(217\) | 236.395 | − | 76.8095i | 1.08938 | − | 0.353961i | ||||
\(218\) | 182.355 | 0.836489 | ||||||||
\(219\) | 338.813 | + | 194.960i | 1.54709 | + | 0.890230i | ||||
\(220\) | −137.723 | − | 214.228i | −0.626015 | − | 0.973765i | ||||
\(221\) | −395.504 | − | 128.507i | −1.78961 | − | 0.581479i | ||||
\(222\) | 120.161 | + | 268.838i | 0.541266 | + | 1.21098i | ||||
\(223\) | −13.5458 | − | 18.6442i | −0.0607437 | − | 0.0836065i | 0.777564 | − | 0.628803i | \(-0.216455\pi\) |
−0.838308 | + | 0.545197i | \(0.816455\pi\) | |||||||
\(224\) | − | 11.3241i | − | 0.0505542i | ||||||
\(225\) | −48.1686 | + | 219.784i | −0.214082 | + | 0.976816i | ||||
\(226\) | 19.1891 | 0.0849076 | ||||||||
\(227\) | 43.3598 | − | 31.5027i | 0.191012 | − | 0.138779i | −0.488169 | − | 0.872749i | \(-0.662335\pi\) |
0.679181 | + | 0.733971i | \(0.262335\pi\) | |||||||
\(228\) | 209.015 | − | 93.4226i | 0.916735 | − | 0.409748i | ||||
\(229\) | 88.7679 | − | 273.199i | 0.387633 | − | 1.19301i | −0.546920 | − | 0.837185i | \(-0.684200\pi\) |
0.934552 | − | 0.355826i | \(-0.115800\pi\) | |||||||
\(230\) | 614.545 | + | 35.0451i | 2.67194 | + | 0.152370i | ||||
\(231\) | 46.1702 | − | 80.2372i | 0.199871 | − | 0.347347i | ||||
\(232\) | 170.062i | 0.733027i | ||||||||
\(233\) | −124.366 | − | 382.758i | −0.533758 | − | 1.64274i | −0.746318 | − | 0.665589i | \(-0.768180\pi\) |
0.212561 | − | 0.977148i | \(-0.431820\pi\) | |||||||
\(234\) | 394.884 | + | 353.489i | 1.68754 | + | 1.51064i | ||||
\(235\) | −28.1869 | − | 1.60739i | −0.119944 | − | 0.00683994i | ||||
\(236\) | 367.347 | + | 505.609i | 1.55655 | + | 2.14241i | ||||
\(237\) | −5.64745 | − | 52.9937i | −0.0238289 | − | 0.223602i | ||||
\(238\) | −237.075 | + | 326.306i | −0.996115 | + | 1.37104i | ||||
\(239\) | 148.380 | + | 204.228i | 0.620838 | + | 0.854510i | 0.997414 | − | 0.0718756i | \(-0.0228985\pi\) |
−0.376575 | + | 0.926386i | \(0.622898\pi\) | |||||||
\(240\) | −11.0440 | − | 224.274i | −0.0460166 | − | 0.934476i | ||||
\(241\) | −26.1809 | − | 19.0215i | −0.108634 | − | 0.0789275i | 0.532142 | − | 0.846655i | \(-0.321387\pi\) |
−0.640776 | + | 0.767728i | \(0.721387\pi\) | |||||||
\(242\) | 84.8703 | + | 261.204i | 0.350704 | + | 1.07935i | ||||
\(243\) | 123.020 | + | 209.559i | 0.506257 | + | 0.862383i | ||||
\(244\) | 41.8451 | + | 128.786i | 0.171496 | + | 0.527812i | ||||
\(245\) | −33.0890 | − | 125.804i | −0.135057 | − | 0.513486i | ||||
\(246\) | −66.8188 | − | 149.495i | −0.271621 | − | 0.607702i | ||||
\(247\) | −156.476 | − | 50.8422i | −0.633506 | − | 0.205839i | ||||
\(248\) | 566.592 | − | 411.653i | 2.28465 | − | 1.65989i | ||||
\(249\) | 67.0480 | + | 74.2478i | 0.269269 | + | 0.298184i | ||||
\(250\) | −425.165 | − | 73.3733i | −1.70066 | − | 0.293493i | ||||
\(251\) | − | 405.814i | − | 1.61679i | −0.588641 | − | 0.808394i | \(-0.700337\pi\) | ||
0.588641 | − | 0.808394i | \(-0.299663\pi\) | |||||||
\(252\) | 295.204 | − | 171.578i | 1.17144 | − | 0.680864i | ||||
\(253\) | 218.338 | + | 70.9422i | 0.862995 | + | 0.280404i | ||||
\(254\) | 55.7017 | + | 18.0986i | 0.219298 | + | 0.0712543i | ||||
\(255\) | 200.099 | − | 306.006i | 0.784700 | − | 1.20002i | ||||
\(256\) | −156.289 | − | 481.007i | −0.610502 | − | 1.87893i | ||||
\(257\) | 332.036 | 1.29197 | 0.645984 | − | 0.763351i | \(-0.276447\pi\) | ||||
0.645984 | + | 0.763351i | \(0.276447\pi\) | |||||||
\(258\) | −73.6677 | − | 42.3899i | −0.285534 | − | 0.164302i | ||||
\(259\) | −110.297 | − | 80.1357i | −0.425858 | − | 0.309404i | ||||
\(260\) | −427.241 | + | 522.660i | −1.64324 | + | 2.01023i | ||||
\(261\) | 97.9637 | − | 56.9382i | 0.375340 | − | 0.218154i | ||||
\(262\) | 301.238 | − | 414.619i | 1.14976 | − | 1.58252i | ||||
\(263\) | 338.632 | + | 246.031i | 1.28757 | + | 0.935477i | 0.999753 | − | 0.0222068i | \(-0.00706922\pi\) |
0.287821 | + | 0.957684i | \(0.407069\pi\) | |||||||
\(264\) | 53.8608 | − | 255.212i | 0.204018 | − | 0.966711i | ||||
\(265\) | −10.9373 | − | 0.623713i | −0.0412730 | − | 0.00235364i | ||||
\(266\) | −93.7960 | + | 129.099i | −0.352616 | + | 0.485335i | ||||
\(267\) | −142.673 | − | 82.0968i | −0.534354 | − | 0.307479i | ||||
\(268\) | − | 113.464i | − | 0.423372i | ||||||
\(269\) | 43.7184 | − | 14.2050i | 0.162522 | − | 0.0528066i | −0.226626 | − | 0.973982i | \(-0.572769\pi\) |
0.389148 | + | 0.921175i | \(0.372769\pi\) | |||||||
\(270\) | −390.858 | + | 253.681i | −1.44762 | + | 0.939560i | ||||
\(271\) | −120.577 | + | 371.096i | −0.444932 | + | 1.36936i | 0.437626 | + | 0.899157i | \(0.355819\pi\) |
−0.882558 | + | 0.470203i | \(0.844181\pi\) | |||||||
\(272\) | −112.755 | + | 347.025i | −0.414541 | + | 1.27583i | ||||
\(273\) | −240.088 | − | 50.6690i | −0.879443 | − | 0.185601i | ||||
\(274\) | 385.843 | 1.40818 | ||||||||
\(275\) | −146.393 | − | 66.8005i | −0.532339 | − | 0.242911i | ||||
\(276\) | 567.503 | + | 628.443i | 2.05617 | + | 2.27697i | ||||
\(277\) | 204.852 | + | 281.954i | 0.739536 | + | 1.01788i | 0.998645 | + | 0.0520364i | \(0.0165712\pi\) |
−0.259109 | + | 0.965848i | \(0.583429\pi\) | |||||||
\(278\) | 12.2485 | − | 37.6969i | 0.0440593 | − | 0.135601i | ||||
\(279\) | −426.831 | − | 188.558i | −1.52986 | − | 0.675835i | ||||
\(280\) | 175.097 | + | 272.363i | 0.625347 | + | 0.972727i | ||||
\(281\) | 382.974 | − | 124.436i | 1.36290 | − | 0.442832i | 0.465888 | − | 0.884844i | \(-0.345735\pi\) |
0.897009 | + | 0.442012i | \(0.145735\pi\) | |||||||
\(282\) | −39.1861 | − | 43.3941i | −0.138958 | − | 0.153880i | ||||
\(283\) | 224.653 | − | 72.9942i | 0.793827 | − | 0.257930i | 0.116094 | − | 0.993238i | \(-0.462963\pi\) |
0.677733 | + | 0.735308i | \(0.262963\pi\) | |||||||
\(284\) | 90.1199 | − | 124.039i | 0.317324 | − | 0.436758i | ||||
\(285\) | 79.1665 | − | 121.067i | 0.277777 | − | 0.424798i | ||||
\(286\) | −306.645 | + | 222.790i | −1.07218 | + | 0.778987i | ||||
\(287\) | 61.3338 | + | 44.5616i | 0.213707 | + | 0.155267i | ||||
\(288\) | −14.1791 | + | 15.8395i | −0.0492331 | + | 0.0549984i | ||||
\(289\) | −246.854 | + | 179.350i | −0.854167 | + | 0.620588i | ||||
\(290\) | 117.496 | + | 182.765i | 0.405160 | + | 0.630226i | ||||
\(291\) | −467.499 | + | 49.8206i | −1.60652 | + | 0.171205i | ||||
\(292\) | −980.669 | + | 318.639i | −3.35845 | + | 1.09123i | ||||
\(293\) | −392.633 | −1.34005 | −0.670023 | − | 0.742341i | \(-0.733716\pi\) | ||||
−0.670023 | + | 0.742341i | \(0.733716\pi\) | |||||||
\(294\) | 134.360 | − | 233.499i | 0.457007 | − | 0.794213i | ||||
\(295\) | 367.990 | + | 143.206i | 1.24742 | + | 0.485443i | ||||
\(296\) | −365.337 | − | 118.705i | −1.23425 | − | 0.401031i | ||||
\(297\) | −165.047 | + | 54.4206i | −0.555712 | + | 0.183234i | ||||
\(298\) | −50.2823 | − | 69.2076i | −0.168732 | − | 0.232240i | ||||
\(299\) | − | 608.517i | − | 2.03517i | ||||||
\(300\) | −345.122 | − | 482.856i | −1.15041 | − | 1.60952i | ||||
\(301\) | 39.3505 | 0.130733 | ||||||||
\(302\) | 141.039 | − | 102.471i | 0.467016 | − | 0.339307i | ||||
\(303\) | 112.698 | + | 252.141i | 0.371942 | + | 0.832150i | ||||
\(304\) | −44.6102 | + | 137.296i | −0.146744 | + | 0.451632i | ||||
\(305\) | 66.2427 | + | 54.1492i | 0.217189 | + | 0.177538i | ||||
\(306\) | 740.181 | − | 159.572i | 2.41889 | − | 0.521477i | ||||
\(307\) | − | 21.4763i | − | 0.0699554i | −0.999388 | − | 0.0349777i | \(-0.988864\pi\) | ||
0.999388 | − | 0.0349777i | \(-0.0111360\pi\) | |||||||
\(308\) | 75.4594 | + | 232.240i | 0.244998 | + | 0.754027i | ||||
\(309\) | −548.649 | + | 58.4686i | −1.77556 | + | 0.189219i | ||||
\(310\) | 324.503 | − | 833.862i | 1.04678 | − | 2.68988i | ||||
\(311\) | −11.2806 | − | 15.5264i | −0.0362720 | − | 0.0499241i | 0.790496 | − | 0.612467i | \(-0.209823\pi\) |
−0.826768 | + | 0.562543i | \(0.809823\pi\) | |||||||
\(312\) | −687.481 | + | 73.2638i | −2.20346 | + | 0.234820i | ||||
\(313\) | 288.515 | − | 397.107i | 0.921774 | − | 1.26871i | −0.0412095 | − | 0.999151i | \(-0.513121\pi\) |
0.962983 | − | 0.269562i | \(-0.0868789\pi\) | |||||||
\(314\) | −252.572 | − | 347.636i | −0.804370 | − | 1.10712i | ||||
\(315\) | 98.2698 | − | 192.053i | 0.311968 | − | 0.609694i | ||||
\(316\) | 113.732 | + | 82.6311i | 0.359911 | + | 0.261491i | ||||
\(317\) | 60.0015 | + | 184.666i | 0.189279 | + | 0.582541i | 0.999996 | − | 0.00289745i | \(-0.000922288\pi\) |
−0.810717 | + | 0.585439i | \(0.800922\pi\) | |||||||
\(318\) | −15.2054 | − | 16.8382i | −0.0478156 | − | 0.0529502i | ||||
\(319\) | 25.0413 | + | 77.0691i | 0.0784993 | + | 0.241596i | ||||
\(320\) | −263.365 | − | 215.284i | −0.823017 | − | 0.672764i | ||||
\(321\) | −89.6292 | + | 40.0611i | −0.279219 | + | 0.124801i | ||||
\(322\) | −561.310 | − | 182.381i | −1.74320 | − | 0.566399i | ||||
\(323\) | −190.167 | + | 138.165i | −0.588753 | + | 0.427754i | ||||
\(324\) | −627.749 | − | 129.637i | −1.93750 | − | 0.400113i | ||||
\(325\) | −48.4883 | + | 423.759i | −0.149195 | + | 1.30387i | ||||
\(326\) | − | 501.661i | − | 1.53884i | ||||||
\(327\) | 155.080 | + | 32.7286i | 0.474251 | + | 0.100088i | ||||
\(328\) | 203.156 | + | 66.0092i | 0.619377 | + | 0.201248i | ||||
\(329\) | 25.7452 | + | 8.36513i | 0.0782529 | + | 0.0254259i | ||||
\(330\) | −118.442 | − | 311.487i | −0.358916 | − | 0.943901i | ||||
\(331\) | 46.5225 | + | 143.182i | 0.140551 | + | 0.432573i | 0.996412 | − | 0.0846337i | \(-0.0269720\pi\) |
−0.855861 | + | 0.517206i | \(0.826972\pi\) | |||||||
\(332\) | −263.892 | −0.794855 | ||||||||
\(333\) | 53.9382 | + | 250.194i | 0.161977 | + | 0.751334i | ||||
\(334\) | −325.858 | − | 236.749i | −0.975622 | − | 0.708831i | ||||
\(335\) | −38.7678 | − | 60.3032i | −0.115725 | − | 0.180010i | ||||
\(336\) | −44.4583 | + | 210.659i | −0.132316 | + | 0.626962i | ||||
\(337\) | 20.2430 | − | 27.8621i | 0.0600683 | − | 0.0826769i | −0.777926 | − | 0.628356i | \(-0.783728\pi\) |
0.837994 | + | 0.545679i | \(0.183728\pi\) | |||||||
\(338\) | 340.887 | + | 247.669i | 1.00854 | + | 0.732749i | ||||
\(339\) | 16.3190 | + | 3.44402i | 0.0481387 | + | 0.0101594i | ||||
\(340\) | 245.326 | + | 932.727i | 0.721547 | + | 2.74332i | ||||
\(341\) | 196.154 | − | 269.983i | 0.575232 | − | 0.791739i | ||||
\(342\) | 292.843 | − | 63.1327i | 0.856267 | − | 0.184599i | ||||
\(343\) | 359.637i | 1.04851i | ||||||||
\(344\) | 105.448 | − | 34.2620i | 0.306534 | − | 0.0995988i | ||||
\(345\) | 516.338 | + | 140.101i | 1.49663 | + | 0.406089i | ||||
\(346\) | 81.3049 | − | 250.231i | 0.234985 | − | 0.723210i | ||||
\(347\) | −155.034 | + | 477.144i | −0.446783 | + | 1.37506i | 0.433734 | + | 0.901041i | \(0.357196\pi\) |
−0.880517 | + | 0.474015i | \(0.842804\pi\) | |||||||
\(348\) | −61.7193 | + | 292.448i | −0.177354 | + | 0.840369i | ||||
\(349\) | 295.702 | 0.847282 | 0.423641 | − | 0.905830i | \(-0.360752\pi\) | ||||
0.423641 | + | 0.905830i | \(0.360752\pi\) | |||||||
\(350\) | 376.353 | + | 171.733i | 1.07529 | + | 0.490666i | ||||
\(351\) | 272.377 | + | 371.491i | 0.776004 | + | 1.05838i | ||||
\(352\) | −8.93655 | − | 12.3001i | −0.0253879 | − | 0.0349435i | ||||
\(353\) | −105.425 | + | 324.465i | −0.298655 | + | 0.919165i | 0.683315 | + | 0.730124i | \(0.260538\pi\) |
−0.981969 | + | 0.189041i | \(0.939462\pi\) | |||||||
\(354\) | 333.697 | + | 746.584i | 0.942646 | + | 2.10899i | ||||
\(355\) | 5.51531 | − | 96.7157i | 0.0155361 | − | 0.272439i | ||||
\(356\) | 412.955 | − | 134.177i | 1.15998 | − | 0.376902i | ||||
\(357\) | −260.181 | + | 234.951i | −0.728798 | + | 0.658126i | ||||
\(358\) | −84.6603 | + | 27.5078i | −0.236481 | + | 0.0768374i | ||||
\(359\) | 33.1665 | − | 45.6498i | 0.0923858 | − | 0.127158i | −0.760322 | − | 0.649546i | \(-0.774959\pi\) |
0.852708 | + | 0.522388i | \(0.174959\pi\) | |||||||
\(360\) | 96.1151 | − | 600.208i | 0.266986 | − | 1.66725i | ||||
\(361\) | 216.818 | − | 157.527i | 0.600603 | − | 0.436364i | ||||
\(362\) | −415.446 | − | 301.839i | −1.14764 | − | 0.833810i | ||||
\(363\) | 25.2959 | + | 237.368i | 0.0696858 | + | 0.653906i | ||||
\(364\) | 523.647 | − | 380.452i | 1.43859 | − | 1.04520i | ||||
\(365\) | −412.331 | + | 504.419i | −1.12967 | + | 1.38197i | ||||
\(366\) | 18.7763 | + | 176.190i | 0.0513014 | + | 0.481394i | ||||
\(367\) | −607.364 | + | 197.344i | −1.65494 | + | 0.537723i | −0.979803 | − | 0.199967i | \(-0.935917\pi\) |
−0.675139 | + | 0.737690i | \(0.735917\pi\) | |||||||
\(368\) | −533.928 | −1.45089 | ||||||||
\(369\) | −29.9938 | − | 139.127i | −0.0812839 | − | 0.377039i | ||||
\(370\) | −474.640 | + | 124.840i | −1.28281 | + | 0.337405i | ||||
\(371\) | 9.98990 | + | 3.24591i | 0.0269269 | + | 0.00874909i | ||||
\(372\) | 1123.74 | − | 502.272i | 3.02081 | − | 1.35019i | ||||
\(373\) | −139.077 | − | 191.423i | −0.372859 | − | 0.513197i | 0.580816 | − | 0.814035i | \(-0.302734\pi\) |
−0.953675 | + | 0.300838i | \(0.902734\pi\) | |||||||
\(374\) | 541.519i | 1.44791i | ||||||||
\(375\) | −348.404 | − | 138.707i | −0.929078 | − | 0.369884i | ||||
\(376\) | 76.2729 | 0.202853 | ||||||||
\(377\) | 173.773 | − | 126.253i | 0.460936 | − | 0.334890i | ||||
\(378\) | 424.307 | − | 139.906i | 1.12251 | − | 0.370123i | ||||
\(379\) | −36.7734 | + | 113.177i | −0.0970276 | + | 0.298620i | −0.987777 | − | 0.155875i | \(-0.950180\pi\) |
0.890749 | + | 0.454495i | \(0.150180\pi\) | |||||||
\(380\) | 97.0602 | + | 369.022i | 0.255422 | + | 0.971111i | ||||
\(381\) | 44.1222 | + | 25.3888i | 0.115806 | + | 0.0666373i | ||||
\(382\) | 55.5918i | 0.145528i | ||||||||
\(383\) | −232.170 | − | 714.546i | −0.606188 | − | 1.86565i | −0.488410 | − | 0.872614i | \(-0.662423\pi\) |
−0.117778 | − | 0.993040i | \(-0.537577\pi\) | |||||||
\(384\) | −71.6465 | − | 672.305i | −0.186579 | − | 1.75079i | ||||
\(385\) | 119.456 | + | 97.6475i | 0.310275 | + | 0.253630i | ||||
\(386\) | −403.769 | − | 555.740i | −1.04603 | − | 1.43974i | ||||
\(387\) | −55.0412 | − | 49.2714i | −0.142225 | − | 0.127316i | ||||
\(388\) | 728.954 | − | 1003.32i | 1.87875 | − | 2.58587i | ||||
\(389\) | 122.928 | + | 169.196i | 0.316010 | + | 0.434951i | 0.937244 | − | 0.348674i | \(-0.113368\pi\) |
−0.621233 | + | 0.783626i | \(0.713368\pi\) | |||||||
\(390\) | −688.215 | + | 553.718i | −1.76465 | + | 1.41979i | ||||
\(391\) | −703.342 | − | 511.008i | −1.79883 | − | 1.30693i | ||||
\(392\) | 108.598 | + | 334.229i | 0.277034 | + | 0.852625i | ||||
\(393\) | 330.597 | − | 298.539i | 0.841214 | − | 0.759641i | ||||
\(394\) | 35.5705 | + | 109.475i | 0.0902806 | + | 0.277855i | ||||
\(395\) | 88.6788 | + | 5.05700i | 0.224503 | + | 0.0128025i | ||||
\(396\) | 185.244 | − | 419.328i | 0.467787 | − | 1.05891i | ||||
\(397\) | 372.824 | + | 121.138i | 0.939104 | + | 0.305133i | 0.738280 | − | 0.674494i | \(-0.235638\pi\) |
0.200824 | + | 0.979627i | \(0.435638\pi\) | |||||||
\(398\) | 588.243 | − | 427.384i | 1.47800 | − | 1.07383i | ||||
\(399\) | −102.937 | + | 92.9555i | −0.257988 | + | 0.232971i | ||||
\(400\) | 371.817 | + | 42.5449i | 0.929543 | + | 0.106362i | ||||
\(401\) | 453.902i | 1.13193i | 0.824431 | + | 0.565963i | \(0.191496\pi\) | ||||
−0.824431 | + | 0.565963i | \(0.808504\pi\) | |||||||
\(402\) | 30.6576 | − | 145.267i | 0.0762627 | − | 0.361360i | ||||
\(403\) | −841.270 | − | 273.345i | −2.08752 | − | 0.678276i | ||||
\(404\) | −692.866 | − | 225.126i | −1.71502 | − | 0.557242i | ||||
\(405\) | −377.927 | + | 145.588i | −0.933154 | + | 0.359476i | ||||
\(406\) | −64.3770 | − | 198.132i | −0.158564 | − | 0.488010i | ||||
\(407\) | −183.043 | −0.449737 | ||||||||
\(408\) | −492.638 | + | 856.135i | −1.20745 | + | 2.09837i | ||||
\(409\) | 181.431 | + | 131.817i | 0.443597 | + | 0.322292i | 0.787063 | − | 0.616873i | \(-0.211601\pi\) |
−0.343466 | + | 0.939165i | \(0.611601\pi\) | |||||||
\(410\) | 263.936 | − | 69.4206i | 0.643747 | − | 0.169319i | ||||
\(411\) | 328.132 | + | 69.2502i | 0.798375 | + | 0.168492i | ||||
\(412\) | 855.488 | − | 1177.48i | 2.07643 | − | 2.85796i | ||||
\(413\) | −306.304 | − | 222.543i | −0.741656 | − | 0.538845i | ||||
\(414\) | 556.766 | + | 957.929i | 1.34484 | + | 2.31384i | ||||
\(415\) | −140.252 | + | 90.1654i | −0.337957 | + | 0.217266i | ||||
\(416\) | −23.6875 | + | 32.6031i | −0.0569412 | + | 0.0783728i | ||||
\(417\) | 17.1822 | − | 29.8603i | 0.0412044 | − | 0.0716074i | ||||
\(418\) | 214.245i | 0.512549i | ||||||||
\(419\) | 41.6295 | − | 13.5262i | 0.0993543 | − | 0.0322822i | −0.258918 | − | 0.965899i | \(-0.583366\pi\) |
0.358272 | + | 0.933617i | \(0.383366\pi\) | |||||||
\(420\) | 202.260 | + | 531.917i | 0.481571 | + | 1.26647i | ||||
\(421\) | −164.969 | + | 507.723i | −0.391851 | + | 1.20599i | 0.539536 | + | 0.841963i | \(0.318600\pi\) |
−0.931387 | + | 0.364031i | \(0.881400\pi\) | |||||||
\(422\) | 130.253 | − | 400.878i | 0.308657 | − | 0.949947i | ||||
\(423\) | −25.5368 | − | 43.9367i | −0.0603706 | − | 0.103869i | ||||
\(424\) | 29.5961 | 0.0698022 | ||||||||
\(425\) | 449.075 | + | 411.900i | 1.05665 | + | 0.969177i | ||||
\(426\) | 148.895 | − | 134.456i | 0.349519 | − | 0.315626i | ||||
\(427\) | −48.2191 | − | 66.3679i | −0.112925 | − | 0.155428i | ||||
\(428\) | 80.0259 | − | 246.294i | 0.186976 | − | 0.575454i | ||||
\(429\) | −300.766 | + | 134.432i | −0.701086 | + | 0.313361i | ||||
\(430\) | 89.6525 | − | 109.675i | 0.208494 | − | 0.255059i | ||||
\(431\) | −397.203 | + | 129.059i | −0.921584 | + | 0.299441i | −0.731116 | − | 0.682253i | \(-0.761000\pi\) |
−0.190468 | + | 0.981693i | \(0.561000\pi\) | |||||||
\(432\) | 325.956 | − | 238.991i | 0.754527 | − | 0.553220i | ||||
\(433\) | 647.730 | − | 210.460i | 1.49591 | − | 0.486052i | 0.557090 | − | 0.830452i | \(-0.311918\pi\) |
0.938823 | + | 0.344400i | \(0.111918\pi\) | |||||||
\(434\) | −504.280 | + | 694.082i | −1.16193 | + | 1.59927i | ||||
\(435\) | 67.1201 | + | 176.517i | 0.154299 | + | 0.405787i | ||||
\(436\) | −338.239 | + | 245.745i | −0.775778 | + | 0.563636i | ||||
\(437\) | −278.269 | − | 202.174i | −0.636770 | − | 0.462641i | ||||
\(438\) | −1341.64 | + | 142.976i | −3.06310 | + | 0.326430i | ||||
\(439\) | 188.505 | − | 136.957i | 0.429396 | − | 0.311975i | −0.352011 | − | 0.935996i | \(-0.614502\pi\) |
0.781407 | + | 0.624021i | \(0.214502\pi\) | |||||||
\(440\) | 405.126 | + | 157.657i | 0.920742 | + | 0.358312i | ||||
\(441\) | 156.172 | − | 174.460i | 0.354131 | − | 0.395600i | ||||
\(442\) | 1365.12 | − | 443.554i | 3.08850 | − | 1.00352i | ||||
\(443\) | 171.589 | 0.387334 | 0.193667 | − | 0.981067i | \(-0.437962\pi\) | ||||
0.193667 | + | 0.981067i | \(0.437962\pi\) | |||||||
\(444\) | −585.172 | − | 336.721i | −1.31796 | − | 0.758380i | ||||
\(445\) | 173.630 | − | 212.408i | 0.390181 | − | 0.477322i | ||||
\(446\) | 75.6508 | + | 24.5804i | 0.169621 | + | 0.0551131i | ||||
\(447\) | −30.3403 | − | 67.8808i | −0.0678755 | − | 0.151859i | ||||
\(448\) | 191.708 | + | 263.863i | 0.427919 | + | 0.588979i | ||||
\(449\) | 55.7697i | 0.124209i | 0.998070 | + | 0.0621044i | \(0.0197812\pi\) | ||||
−0.998070 | + | 0.0621044i | \(0.980219\pi\) | |||||||
\(450\) | −311.390 | − | 711.448i | −0.691979 | − | 1.58100i | ||||
\(451\) | 101.786 | 0.225690 | ||||||||
\(452\) | −35.5928 | + | 25.8597i | −0.0787452 | + | 0.0572117i | ||||
\(453\) | 138.335 | − | 61.8309i | 0.305375 | − | 0.136492i | ||||
\(454\) | −57.1652 | + | 175.936i | −0.125915 | + | 0.387525i | ||||
\(455\) | 148.315 | − | 381.119i | 0.325966 | − | 0.837623i | ||||
\(456\) | −194.906 | + | 338.719i | −0.427426 | + | 0.742806i | ||||
\(457\) | − | 450.546i | − | 0.985878i | −0.870064 | − | 0.492939i | \(-0.835923\pi\) | ||
0.870064 | − | 0.492939i | \(-0.164077\pi\) | |||||||
\(458\) | 306.391 | + | 942.974i | 0.668976 | + | 2.05890i | ||||
\(459\) | 658.112 | − | 2.85880i | 1.43380 | − | 0.00622833i | ||||
\(460\) | −1187.11 | + | 763.172i | −2.58068 | + | 1.65907i | ||||
\(461\) | 354.983 | + | 488.592i | 0.770028 | + | 1.05985i | 0.996313 | + | 0.0857918i | \(0.0273420\pi\) |
−0.226285 | + | 0.974061i | \(0.572658\pi\) | |||||||
\(462\) | 33.8594 | + | 317.724i | 0.0732887 | + | 0.687715i | ||||
\(463\) | −175.681 | + | 241.804i | −0.379440 | + | 0.522254i | −0.955436 | − | 0.295198i | \(-0.904614\pi\) |
0.575996 | + | 0.817452i | \(0.304614\pi\) | |||||||
\(464\) | −110.778 | − | 152.473i | −0.238746 | − | 0.328605i | ||||
\(465\) | 425.627 | − | 650.900i | 0.915326 | − | 1.39979i | ||||
\(466\) | 1123.82 | + | 816.500i | 2.41162 | + | 1.75215i | ||||
\(467\) | 5.00217 | + | 15.3951i | 0.0107113 | + | 0.0329660i | 0.956269 | − | 0.292488i | \(-0.0944830\pi\) |
−0.945558 | + | 0.325454i | \(0.894483\pi\) | |||||||
\(468\) | −1208.82 | − | 123.514i | −2.58294 | − | 0.263918i | ||||
\(469\) | 21.2411 | + | 65.3733i | 0.0452902 | + | 0.139389i | ||||
\(470\) | 81.9702 | − | 52.6971i | 0.174405 | − | 0.112121i | ||||
\(471\) | −152.402 | − | 340.971i | −0.323571 | − | 0.723930i | ||||
\(472\) | −1014.57 | − | 329.654i | −2.14951 | − | 0.698418i | ||||
\(473\) | 42.7419 | − | 31.0538i | 0.0903634 | − | 0.0656529i | ||||
\(474\) | 123.283 | + | 136.522i | 0.260092 | + | 0.288021i | ||||
\(475\) | 177.671 | + | 162.963i | 0.374044 | + | 0.343080i | ||||
\(476\) | − | 924.736i | − | 1.94272i | ||||||
\(477\) | −9.90902 | − | 17.0487i | −0.0207736 | − | 0.0357415i | ||||
\(478\) | −828.675 | − | 269.253i | −1.73363 | − | 0.563290i | ||||
\(479\) | 163.124 | + | 53.0022i | 0.340551 | + | 0.110652i | 0.474299 | − | 0.880364i | \(-0.342701\pi\) |
−0.133748 | + | 0.991015i | \(0.542701\pi\) | |||||||
\(480\) | −22.2107 | − | 27.6056i | −0.0462723 | − | 0.0575117i | ||||
\(481\) | 149.929 | + | 461.434i | 0.311703 | + | 0.959323i | ||||
\(482\) | 111.698 | 0.231739 | ||||||||
\(483\) | −444.622 | − | 255.845i | −0.920542 | − | 0.529699i | ||||
\(484\) | −509.425 | − | 370.119i | −1.05253 | − | 0.764709i | ||||
\(485\) | 44.6118 | − | 782.306i | 0.0919830 | − | 1.61300i | ||||
\(486\) | −768.675 | − | 335.589i | −1.58164 | − | 0.690513i | ||||
\(487\) | −402.271 | + | 553.679i | −0.826019 | + | 1.13692i | 0.162632 | + | 0.986687i | \(0.448002\pi\) |
−0.988651 | + | 0.150231i | \(0.951998\pi\) | |||||||
\(488\) | −186.999 | − | 135.862i | −0.383194 | − | 0.278407i | ||||
\(489\) | 90.0371 | − | 426.628i | 0.184125 | − | 0.872450i | ||||
\(490\) | 347.629 | + | 284.164i | 0.709446 | + | 0.579927i | ||||
\(491\) | 288.681 | − | 397.336i | 0.587946 | − | 0.809238i | −0.406593 | − | 0.913610i | \(-0.633283\pi\) |
0.994538 | + | 0.104372i | \(0.0332832\pi\) | |||||||
\(492\) | 325.401 | + | 187.243i | 0.661384 | + | 0.380574i | ||||
\(493\) | − | 306.874i | − | 0.622463i | ||||||
\(494\) | 540.092 | − | 175.487i | 1.09330 | − | 0.355236i | ||||
\(495\) | −44.8217 | − | 286.156i | −0.0905488 | − | 0.578093i | ||||
\(496\) | −239.840 | + | 738.152i | −0.483549 | + | 1.48821i | ||||
\(497\) | −28.7027 | + | 88.3377i | −0.0577518 | + | 0.177742i | ||||
\(498\) | −337.859 | − | 71.3029i | −0.678431 | − | 0.143179i | ||||
\(499\) | 830.622 | 1.66457 | 0.832286 | − | 0.554346i | \(-0.187031\pi\) | ||||
0.832286 | + | 0.554346i | \(0.187031\pi\) | |||||||
\(500\) | 887.494 | − | 436.866i | 1.77499 | − | 0.873732i | ||||
\(501\) | −234.628 | − | 259.823i | −0.468319 | − | 0.518609i | ||||
\(502\) | 823.314 | + | 1133.20i | 1.64007 | + | 2.25736i | ||||
\(503\) | 68.0929 | − | 209.569i | 0.135374 | − | 0.416637i | −0.860274 | − | 0.509831i | \(-0.829708\pi\) |
0.995648 | + | 0.0931942i | \(0.0297078\pi\) | |||||||
\(504\) | −235.513 | + | 533.121i | −0.467288 | + | 1.05778i | ||||
\(505\) | −445.162 | + | 117.087i | −0.881509 | + | 0.231855i | ||||
\(506\) | −753.614 | + | 244.864i | −1.48936 | + | 0.483921i | ||||
\(507\) | 245.450 | + | 271.807i | 0.484122 | + | 0.536109i | ||||
\(508\) | −127.708 | + | 41.4949i | −0.251394 | + | 0.0816828i | ||||
\(509\) | −477.759 | + | 657.579i | −0.938623 | + | 1.29190i | 0.0177765 | + | 0.999842i | \(0.494341\pi\) |
−0.956399 | + | 0.292062i | \(0.905659\pi\) | |||||||
\(510\) | 62.0685 | + | 1260.45i | 0.121703 | + | 2.47147i | ||||
\(511\) | 505.372 | − | 367.174i | 0.988987 | − | 0.718541i | ||||
\(512\) | 682.971 | + | 496.208i | 1.33393 | + | 0.969155i | ||||
\(513\) | 260.374 | − | 1.13105i | 0.507551 | − | 0.00220478i | ||||
\(514\) | −927.178 | + | 673.634i | −1.80385 | + | 1.31057i | ||||
\(515\) | 52.3556 | − | 918.101i | 0.101661 | − | 1.78272i | ||||
\(516\) | 193.768 | − | 20.6495i | 0.375519 | − | 0.0400184i | ||||
\(517\) | 34.5655 | − | 11.2310i | 0.0668578 | − | 0.0217234i | ||||
\(518\) | 470.573 | 0.908443 | ||||||||
\(519\) | 114.055 | − | 198.211i | 0.219759 | − | 0.381910i | ||||
\(520\) | 65.6039 | − | 1150.42i | 0.126161 | − | 2.21235i | ||||
\(521\) | 695.445 | + | 225.964i | 1.33483 | + | 0.433712i | 0.887561 | − | 0.460689i | \(-0.152398\pi\) |
0.447266 | + | 0.894401i | \(0.352398\pi\) | |||||||
\(522\) | −158.038 | + | 357.743i | −0.302754 | + | 0.685331i | ||||
\(523\) | −411.764 | − | 566.744i | −0.787311 | − | 1.08364i | −0.994438 | − | 0.105326i | \(-0.966411\pi\) |
0.207127 | − | 0.978314i | \(-0.433589\pi\) | |||||||
\(524\) | 1175.01i | 2.24238i | ||||||||
\(525\) | 289.240 | + | 213.594i | 0.550932 | + | 0.406846i | ||||
\(526\) | −1444.74 | −2.74666 | ||||||||
\(527\) | −1022.41 | + | 742.821i | −1.94005 | + | 1.40953i | ||||
\(528\) | 117.954 | + | 263.900i | 0.223397 | + | 0.499810i | ||||
\(529\) | 229.645 | − | 706.775i | 0.434112 | − | 1.33606i | ||||
\(530\) | 31.8068 | − | 20.4480i | 0.0600129 | − | 0.0385812i | ||||
\(531\) | 149.790 | + | 694.809i | 0.282091 | + | 1.30849i | ||||
\(532\) | − | 365.860i | − | 0.687707i | ||||||
\(533\) | −83.3721 | − | 256.593i | −0.156420 | − | 0.481413i | ||||
\(534\) | 564.957 | − | 60.2066i | 1.05797 | − | 0.112746i | ||||
\(535\) | −41.6210 | − | 158.242i | −0.0777962 | − | 0.295780i | ||||
\(536\) | 113.840 | + | 156.687i | 0.212387 | + | 0.292326i | ||||
\(537\) | −76.9347 | + | 8.19881i | −0.143268 | + | 0.0152678i | ||||
\(538\) | −93.2604 | + | 128.362i | −0.173346 | + | 0.238591i | ||||
\(539\) | 98.4288 | + | 135.476i | 0.182614 | + | 0.251346i | ||||
\(540\) | 383.113 | − | 997.268i | 0.709469 | − | 1.84679i | ||||
\(541\) | 225.950 | + | 164.163i | 0.417653 | + | 0.303443i | 0.776693 | − | 0.629879i | \(-0.216896\pi\) |
−0.359040 | + | 0.933322i | \(0.616896\pi\) | |||||||
\(542\) | −416.182 | − | 1280.88i | −0.767863 | − | 2.36324i | ||||
\(543\) | −299.135 | − | 331.257i | −0.550892 | − | 0.610049i | ||||
\(544\) | 17.7918 | + | 54.7575i | 0.0327055 | + | 0.100657i | ||||
\(545\) | −95.8009 | + | 246.176i | −0.175782 | + | 0.451699i | ||||
\(546\) | 773.219 | − | 345.602i | 1.41615 | − | 0.632970i | ||||
\(547\) | −509.525 | − | 165.555i | −0.931491 | − | 0.302660i | −0.196319 | − | 0.980540i | \(-0.562899\pi\) |
−0.735172 | + | 0.677881i | \(0.762899\pi\) | |||||||
\(548\) | −715.678 | + | 519.970i | −1.30598 | + | 0.948851i | ||||
\(549\) | −15.6543 | + | 153.207i | −0.0285142 | + | 0.279066i | ||||
\(550\) | 544.313 | − | 110.469i | 0.989661 | − | 0.200852i | ||||
\(551\) | − | 121.411i | − | 0.220347i | ||||||
\(552\) | −1414.21 | − | 298.461i | −2.56198 | − | 0.540690i | ||||
\(553\) | −80.9970 | − | 26.3175i | −0.146468 | − | 0.0475904i | ||||
\(554\) | −1144.06 | − | 371.726i | −2.06508 | − | 0.670986i | ||||
\(555\) | −426.054 | + | 20.9803i | −0.767666 | + | 0.0378023i | ||||
\(556\) | 28.0822 | + | 86.4283i | 0.0505076 | + | 0.155447i | ||||
\(557\) | 215.531 | 0.386950 | 0.193475 | − | 0.981105i | \(-0.438024\pi\) | ||||
0.193475 | + | 0.981105i | \(0.438024\pi\) | |||||||
\(558\) | 1574.43 | − | 339.423i | 2.82156 | − | 0.608286i | ||||
\(559\) | −113.293 | − | 82.3124i | −0.202671 | − | 0.147249i | ||||
\(560\) | −334.403 | − | 130.135i | −0.597149 | − | 0.232384i | ||||
\(561\) | −97.1908 | + | 460.525i | −0.173246 | + | 0.820899i | ||||
\(562\) | −816.962 | + | 1124.45i | −1.45367 | + | 2.00080i | ||||
\(563\) | 604.915 | + | 439.496i | 1.07445 | + | 0.780633i | 0.976707 | − | 0.214579i | \(-0.0688379\pi\) |
0.0977424 | + | 0.995212i | \(0.468838\pi\) | |||||||
\(564\) | 131.163 | + | 27.6811i | 0.232558 | + | 0.0490800i | ||||
\(565\) | −10.0811 | + | 25.9050i | −0.0178427 | + | 0.0458496i | ||||
\(566\) | −479.231 | + | 659.605i | −0.846698 | + | 1.16538i | ||||
\(567\) | 385.954 | − | 42.8269i | 0.680694 | − | 0.0755324i | ||||
\(568\) | 261.710i | 0.460757i | ||||||||
\(569\) | −557.452 | + | 181.127i | −0.979705 | + | 0.318325i | −0.754727 | − | 0.656039i | \(-0.772231\pi\) |
−0.224978 | + | 0.974364i | \(0.572231\pi\) | |||||||
\(570\) | 24.5567 | + | 498.681i | 0.0430818 | + | 0.874880i | ||||
\(571\) | 171.096 | − | 526.579i | 0.299643 | − | 0.922206i | −0.681979 | − | 0.731371i | \(-0.738881\pi\) |
0.981622 | − | 0.190834i | \(-0.0611193\pi\) | |||||||
\(572\) | 268.540 | − | 826.483i | 0.469476 | − | 1.44490i | ||||
\(573\) | −9.97749 | + | 47.2769i | −0.0174127 | + | 0.0825077i | ||||
\(574\) | −261.675 | −0.455880 | ||||||||
\(575\) | −370.165 | + | 811.215i | −0.643765 | + | 1.41081i | ||||
\(576\) | 62.2378 | − | 609.116i | 0.108052 | − | 1.05749i | ||||
\(577\) | −538.708 | − | 741.467i | −0.933635 | − | 1.28504i | −0.958425 | − | 0.285346i | \(-0.907891\pi\) |
0.0247892 | − | 0.999693i | \(-0.492109\pi\) | |||||||
\(578\) | 325.451 | − | 1001.63i | 0.563064 | − | 1.73293i | ||||
\(579\) | −243.634 | − | 545.086i | −0.420784 | − | 0.941426i | ||||
\(580\) | −464.236 | − | 180.660i | −0.800407 | − | 0.311484i | ||||
\(581\) | 152.044 | − | 49.4022i | 0.261694 | − | 0.0850296i | ||||
\(582\) | 1204.37 | − | 1087.58i | 2.06936 | − | 1.86869i | ||||
\(583\) | 13.4124 | − | 4.35796i | 0.0230059 | − | 0.00747506i | ||||
\(584\) | 1034.55 | − | 1423.94i | 1.77149 | − | 2.43825i | ||||
\(585\) | −684.659 | + | 347.379i | −1.17036 | + | 0.593811i | ||||
\(586\) | 1096.39 | − | 796.574i | 1.87097 | − | 1.35934i | ||||
\(587\) | 488.615 | + | 355.000i | 0.832394 | + | 0.604770i | 0.920236 | − | 0.391365i | \(-0.127997\pi\) |
−0.0878416 | + | 0.996134i | \(0.527997\pi\) | |||||||
\(588\) | 65.4511 | + | 614.170i | 0.111311 | + | 1.04451i | ||||
\(589\) | −404.502 | + | 293.888i | −0.686760 | + | 0.498961i | ||||
\(590\) | −1318.11 | + | 346.690i | −2.23409 | + | 0.587610i | ||||
\(591\) | 10.6019 | + | 99.4849i | 0.0179390 | + | 0.168333i | ||||
\(592\) | 404.874 | − | 131.552i | 0.683909 | − | 0.222216i | ||||
\(593\) | −14.7174 | −0.0248185 | −0.0124093 | − | 0.999923i | \(-0.503950\pi\) | ||||
−0.0124093 | + | 0.999923i | \(0.503950\pi\) | |||||||
\(594\) | 350.468 | − | 486.810i | 0.590013 | − | 0.819546i | ||||
\(595\) | −315.960 | − | 491.475i | −0.531025 | − | 0.826008i | ||||
\(596\) | 186.532 | + | 60.6078i | 0.312972 | + | 0.101691i | ||||
\(597\) | 576.966 | − | 257.883i | 0.966442 | − | 0.431965i | ||||
\(598\) | 1234.56 | + | 1699.22i | 2.06448 | + | 2.84151i | ||||
\(599\) | − | 1048.47i | − | 1.75037i | −0.483786 | − | 0.875186i | \(-0.660739\pi\) | ||
0.483786 | − | 0.875186i | \(-0.339261\pi\) | |||||||
\(600\) | 961.050 | + | 320.531i | 1.60175 | + | 0.534218i | ||||
\(601\) | 128.346 | 0.213555 | 0.106777 | − | 0.994283i | \(-0.465947\pi\) | ||||
0.106777 | + | 0.994283i | \(0.465947\pi\) | |||||||
\(602\) | −109.882 | + | 79.8342i | −0.182529 | + | 0.132615i | ||||
\(603\) | 52.1443 | − | 118.037i | 0.0864748 | − | 0.195749i | ||||
\(604\) | −123.513 | + | 380.134i | −0.204492 | + | 0.629362i | ||||
\(605\) | −397.208 | − | 22.6512i | −0.656543 | − | 0.0374400i | ||||
\(606\) | −826.243 | − | 475.438i | −1.36344 | − | 0.784551i | ||||
\(607\) | 603.019i | 0.993442i | 0.867910 | + | 0.496721i | \(0.165463\pi\) | ||||
−0.867910 | + | 0.496721i | \(0.834537\pi\) | |||||||
\(608\) | 7.03911 | + | 21.6641i | 0.0115775 | + | 0.0356318i | ||||
\(609\) | −19.1878 | − | 180.052i | −0.0315071 | − | 0.295651i | ||||
\(610\) | −294.834 | − | 16.8132i | −0.483335 | − | 0.0275626i | ||||
\(611\) | −56.6246 | − | 77.9370i | −0.0926752 | − | 0.127557i | ||||
\(612\) | −1157.88 | + | 1293.47i | −1.89196 | + | 2.11351i | ||||
\(613\) | −380.744 | + | 524.050i | −0.621116 | + | 0.854893i | −0.997434 | − | 0.0715974i | \(-0.977190\pi\) |
0.376317 | + | 0.926491i | \(0.377190\pi\) | |||||||
\(614\) | 43.5711 | + | 59.9704i | 0.0709627 | + | 0.0976717i | ||||
\(615\) | 236.919 | − | 11.6666i | 0.385234 | − | 0.0189701i | ||||
\(616\) | −337.215 | − | 245.001i | −0.547427 | − | 0.397729i | ||||
\(617\) | 32.4788 | + | 99.9594i | 0.0526398 | + | 0.162009i | 0.973920 | − | 0.226890i | \(-0.0728557\pi\) |
−0.921281 | + | 0.388898i | \(0.872856\pi\) | |||||||
\(618\) | 1413.43 | − | 1276.36i | 2.28710 | − | 2.06532i | ||||
\(619\) | 227.844 | + | 701.232i | 0.368084 | + | 1.13285i | 0.948027 | + | 0.318190i | \(0.103075\pi\) |
−0.579943 | + | 0.814657i | \(0.696925\pi\) | |||||||
\(620\) | 521.830 | + | 1983.99i | 0.841661 | + | 3.19998i | ||||
\(621\) | 301.563 | + | 914.579i | 0.485609 | + | 1.47275i | ||||
\(622\) | 62.9998 | + | 20.4699i | 0.101286 | + | 0.0329098i | ||||
\(623\) | −212.810 | + | 154.615i | −0.341589 | + | 0.248179i | ||||
\(624\) | 568.651 | − | 513.508i | 0.911299 | − | 0.822930i | ||||
\(625\) | 322.415 | − | 535.419i | 0.515865 | − | 0.856670i | ||||
\(626\) | 1694.22i | 2.70642i | ||||||||
\(627\) | −38.4523 | + | 182.201i | −0.0613275 | + | 0.290591i | ||||
\(628\) | 936.964 | + | 304.438i | 1.49198 | + | 0.484774i | ||||
\(629\) | 659.244 | + | 214.201i | 1.04808 | + | 0.340543i | ||||
\(630\) | 115.229 | + | 735.660i | 0.182903 | + | 1.16771i | ||||
\(631\) | −356.940 | − | 1098.55i | −0.565674 | − | 1.74096i | −0.665942 | − | 0.746004i | \(-0.731970\pi\) |
0.100268 | − | 0.994960i | \(-0.468030\pi\) | |||||||
\(632\) | −239.962 | −0.379687 | ||||||||
\(633\) | 182.720 | − | 317.541i | 0.288657 | − | 0.501645i | ||||
\(634\) | −542.197 | − | 393.929i | −0.855201 | − | 0.621340i | ||||
\(635\) | −53.6960 | + | 65.6883i | −0.0845607 | + | 0.103446i | ||||
\(636\) | 50.8951 | + | 10.7411i | 0.0800237 | + | 0.0168885i | ||||
\(637\) | 260.899 | − | 359.097i | 0.409574 | − | 0.563731i | ||||
\(638\) | −226.283 | − | 164.404i | −0.354676 | − | 0.257687i | ||||
\(639\) | 150.757 | − | 87.6225i | 0.235926 | − | 0.137124i | ||||
\(640\) | 1125.02 | + | 64.1557i | 1.75785 | + | 0.100243i | ||||
\(641\) | 322.461 | − | 443.829i | 0.503059 | − | 0.692402i | −0.479670 | − | 0.877449i | \(-0.659244\pi\) |
0.982730 | + | 0.185047i | \(0.0592438\pi\) | |||||||
\(642\) | 169.005 | − | 293.706i | 0.263247 | − | 0.457486i | ||||
\(643\) | 823.590i | 1.28086i | 0.768018 | + | 0.640428i | \(0.221243\pi\) | ||||
−0.768018 | + | 0.640428i | \(0.778757\pi\) | |||||||
\(644\) | 1286.92 | − | 418.146i | 1.99833 | − | 0.649296i | ||||
\(645\) | 95.9275 | − | 77.1804i | 0.148725 | − | 0.119660i | ||||
\(646\) | 250.715 | − | 771.622i | 0.388104 | − | 1.19446i | ||||
\(647\) | 120.454 | − | 370.718i | 0.186172 | − | 0.572980i | −0.813794 | − | 0.581153i | \(-0.802602\pi\) |
0.999967 | + | 0.00817339i | \(0.00260170\pi\) | |||||||
\(648\) | 996.952 | − | 450.809i | 1.53851 | − | 0.695692i | ||||
\(649\) | −508.325 | −0.783243 | ||||||||
\(650\) | −724.323 | − | 1281.68i | −1.11434 | − | 1.97181i | ||||
\(651\) | −553.427 | + | 499.761i | −0.850118 | + | 0.767682i | ||||
\(652\) | 676.050 | + | 930.504i | 1.03689 | + | 1.42715i | ||||
\(653\) | −221.753 | + | 682.485i | −0.339591 | + | 1.04515i | 0.624826 | + | 0.780764i | \(0.285170\pi\) |
−0.964416 | + | 0.264388i | \(0.914830\pi\) | |||||||
\(654\) | −499.445 | + | 223.234i | −0.763677 | + | 0.341337i | ||||
\(655\) | 401.472 | + | 624.489i | 0.612935 | + | 0.953419i | ||||
\(656\) | −225.141 | + | 73.1528i | −0.343203 | + | 0.111513i | ||||
\(657\) | −1166.63 | − | 119.203i | −1.77569 | − | 0.181435i | ||||
\(658\) | −88.8621 | + | 28.8730i | −0.135049 | + | 0.0438800i | ||||
\(659\) | 60.3180 | − | 83.0206i | 0.0915296 | − | 0.125980i | −0.760796 | − | 0.648991i | \(-0.775191\pi\) |
0.852326 | + | 0.523011i | \(0.175191\pi\) | |||||||
\(660\) | 639.459 | + | 418.145i | 0.968878 | + | 0.633553i | ||||
\(661\) | 565.922 | − | 411.166i | 0.856161 | − | 0.622037i | −0.0706772 | − | 0.997499i | \(-0.522516\pi\) |
0.926838 | + | 0.375462i | \(0.122516\pi\) | |||||||
\(662\) | −420.396 | − | 305.435i | −0.635039 | − | 0.461383i | ||||
\(663\) | 1240.55 | − | 132.203i | 1.87111 | − | 0.199401i | ||||
\(664\) | 364.419 | − | 264.766i | 0.548824 | − | 0.398744i | ||||
\(665\) | −125.006 | − | 194.446i | −0.187978 | − | 0.292400i | ||||
\(666\) | −658.211 | − | 589.213i | −0.988304 | − | 0.884704i | ||||
\(667\) | 427.066 | − | 138.762i | 0.640280 | − | 0.208039i | ||||
\(668\) | 923.464 | 1.38243 | ||||||||
\(669\) | 59.9241 | + | 34.4816i | 0.0895726 | + | 0.0515420i | ||||
\(670\) | 230.598 | + | 89.7387i | 0.344176 | + | 0.133938i | ||||
\(671\) | −104.750 | − | 34.0352i | −0.156110 | − | 0.0507232i | ||||
\(672\) | 13.8627 | + | 31.0153i | 0.0206291 | + | 0.0461537i | ||||
\(673\) | −420.099 | − | 578.216i | −0.624218 | − | 0.859163i | 0.373433 | − | 0.927657i | \(-0.378180\pi\) |
−0.997652 | + | 0.0684944i | \(0.978180\pi\) | |||||||
\(674\) | 118.871i | 0.176367i | ||||||||
\(675\) | −137.127 | − | 660.925i | −0.203151 | − | 0.979148i | ||||
\(676\) | −966.058 | −1.42908 | ||||||||
\(677\) | 201.589 | − | 146.463i | 0.297769 | − | 0.216342i | −0.428862 | − | 0.903370i | \(-0.641085\pi\) |
0.726630 | + | 0.687029i | \(0.241085\pi\) | |||||||
\(678\) | −52.5564 | + | 23.4909i | −0.0775169 | + | 0.0346473i | ||||
\(679\) | −232.167 | + | 714.538i | −0.341926 | + | 1.05234i | ||||
\(680\) | −1274.60 | − | 1041.90i | −1.87441 | − | 1.53221i | ||||
\(681\) | −80.1917 | + | 139.362i | −0.117756 | + | 0.204643i | ||||
\(682\) | 1151.86i | 1.68894i | ||||||||
\(683\) | 305.750 | + | 941.001i | 0.447657 | + | 1.37775i | 0.879543 | + | 0.475819i | \(0.157848\pi\) |
−0.431886 | + | 0.901928i | \(0.642152\pi\) | |||||||
\(684\) | −458.100 | + | 511.744i | −0.669737 | + | 0.748164i | ||||
\(685\) | −202.704 | + | 520.882i | −0.295919 | + | 0.760411i | ||||
\(686\) | −729.631 | − | 1004.25i | −1.06360 | − | 1.46392i | ||||
\(687\) | 91.3211 | + | 856.925i | 0.132927 | + | 1.24734i | ||||
\(688\) | −72.2230 | + | 99.4064i | −0.104975 | + | 0.144486i | ||||
\(689\) | −21.9720 | − | 30.2419i | −0.0318897 | − | 0.0438924i | ||||
\(690\) | −1726.06 | + | 656.328i | −2.50153 | + | 0.951200i | ||||
\(691\) | −263.711 | − | 191.598i | −0.381637 | − | 0.277276i | 0.380383 | − | 0.924829i | \(-0.375792\pi\) |
−0.762020 | + | 0.647553i | \(0.775792\pi\) | |||||||
\(692\) | 186.409 | + | 573.707i | 0.269377 | + | 0.829057i | ||||
\(693\) | −28.2295 | + | 276.279i | −0.0407351 | + | 0.398672i | ||||
\(694\) | −535.113 | − | 1646.91i | −0.771057 | − | 2.37307i | ||||
\(695\) | 44.4555 | + | 36.3395i | 0.0639647 | + | 0.0522871i | ||||
\(696\) | −208.186 | − | 465.778i | −0.299118 | − | 0.669222i | ||||
\(697\) | −366.590 | − | 119.112i | −0.525955 | − | 0.170893i | ||||
\(698\) | −825.717 | + | 599.919i | −1.18298 | + | 0.859482i | ||||
\(699\) | 809.184 | + | 896.077i | 1.15763 | + | 1.28194i | ||||
\(700\) | −929.507 | + | 188.644i | −1.32787 | + | 0.269491i | ||||
\(701\) | 165.328i | 0.235846i | 0.993023 | + | 0.117923i | \(0.0376236\pi\) | ||||
−0.993023 | + | 0.117923i | \(0.962376\pi\) | |||||||
\(702\) | −1514.27 | − | 484.753i | −2.15708 | − | 0.690531i | ||||
\(703\) | 260.822 | + | 84.7461i | 0.371012 | + | 0.120549i | ||||
\(704\) | 416.460 | + | 135.316i | 0.591562 | + | 0.192210i | ||||
\(705\) | 79.1679 | − | 30.1033i | 0.112295 | − | 0.0426998i | ||||
\(706\) | −363.885 | − | 1119.92i | −0.515418 | − | 1.58629i | ||||
\(707\) | 441.348 | 0.624254 | ||||||||
\(708\) | −1625.07 | − | 935.099i | −2.29529 | − | 1.32076i | ||||
\(709\) | −22.5573 | − | 16.3888i | −0.0318156 | − | 0.0231154i | 0.571764 | − | 0.820418i | \(-0.306259\pi\) |
−0.603579 | + | 0.797303i | \(0.706259\pi\) | |||||||
\(710\) | 180.816 | + | 281.259i | 0.254670 | + | 0.396139i | ||||
\(711\) | 80.3412 | + | 138.229i | 0.112998 | + | 0.194415i | ||||
\(712\) | −435.645 | + | 599.614i | −0.611861 | + | 0.842154i | ||||
\(713\) | −1496.07 | − | 1086.96i | −2.09827 | − | 1.52448i | ||||
\(714\) | 249.861 | − | 1183.93i | 0.349946 | − | 1.65817i | ||||
\(715\) | −139.666 | − | 531.009i | −0.195337 | − | 0.742671i | ||||
\(716\) | 119.961 | − | 165.113i | 0.167544 | − | 0.230604i | ||||
\(717\) | −656.405 | − | 377.709i | −0.915488 | − | 0.526791i | ||||
\(718\) | 194.761i | 0.271254i | ||||||||
\(719\) | −114.908 | + | 37.3358i | −0.159816 | + | 0.0519274i | −0.387832 | − | 0.921730i | \(-0.626776\pi\) |
0.228016 | + | 0.973657i | \(0.426776\pi\) | |||||||
\(720\) | 304.799 | + | 600.738i | 0.423333 | + | 0.834358i | ||||
\(721\) | −272.468 | + | 838.570i | −0.377903 | + | 1.16306i | ||||
\(722\) | −285.851 | + | 879.759i | −0.395916 | + | 1.21850i | ||||
\(723\) | 94.9917 | + | 20.0474i | 0.131385 | + | 0.0277281i | ||||
\(724\) | 1177.35 | 1.62618 | ||||||||
\(725\) | −308.458 | + | 62.6016i | −0.425459 | + | 0.0863470i | ||||
\(726\) | −552.208 | − | 611.506i | −0.760617 | − | 0.842295i | ||||
\(727\) | −125.521 | − | 172.765i | −0.172657 | − | 0.237641i | 0.713916 | − | 0.700232i | \(-0.246920\pi\) |
−0.886572 | + | 0.462591i | \(0.846920\pi\) | |||||||
\(728\) | −341.414 | + | 1050.76i | −0.468976 | + | 1.44336i | ||||
\(729\) | −593.474 | − | 423.355i | −0.814093 | − | 0.580735i | ||||
\(730\) | 128.028 | − | 2245.08i | 0.175381 | − | 3.07545i | ||||
\(731\) | −190.278 | + | 61.8251i | −0.260299 | + | 0.0845761i | ||||
\(732\) | −272.265 | − | 301.502i | −0.371947 | − | 0.411888i | ||||
\(733\) | −1126.46 | + | 366.010i | −1.53678 | + | 0.499331i | −0.950487 | − | 0.310765i | \(-0.899415\pi\) |
−0.586297 | + | 0.810096i | \(0.699415\pi\) | |||||||
\(734\) | 1295.63 | − | 1783.28i | 1.76516 | − | 2.42954i | ||||
\(735\) | 244.633 | + | 304.054i | 0.332834 | + | 0.413678i | ||||
\(736\) | −68.1591 | + | 49.5205i | −0.0926075 | + | 0.0672833i | ||||
\(737\) | 74.6618 | + | 54.2449i | 0.101305 | + | 0.0736024i | ||||
\(738\) | 366.016 | + | 327.648i | 0.495956 | + | 0.443967i | ||||
\(739\) | 755.924 | − | 549.211i | 1.02290 | − | 0.743181i | 0.0560255 | − | 0.998429i | \(-0.482157\pi\) |
0.966876 | + | 0.255248i | \(0.0821572\pi\) | |||||||
\(740\) | 712.146 | − | 871.195i | 0.962360 | − | 1.17729i | ||||
\(741\) | 490.807 | − | 52.3045i | 0.662357 | − | 0.0705864i | ||||
\(742\) | −34.4811 | + | 11.2036i | −0.0464705 | + | 0.0150992i | ||||
\(743\) | −79.6348 | −0.107180 | −0.0535900 | − | 0.998563i | \(-0.517066\pi\) | ||||
−0.0535900 | + | 0.998563i | \(0.517066\pi\) | |||||||
\(744\) | −1047.88 | + | 1821.07i | −1.40845 | + | 2.44768i | ||||
\(745\) | 119.845 | − | 31.5217i | 0.160866 | − | 0.0423110i | ||||
\(746\) | 776.715 | + | 252.370i | 1.04117 | + | 0.338298i | ||||
\(747\) | −274.528 | − | 121.276i | −0.367507 | − | 0.162351i | ||||
\(748\) | −729.764 | − | 1004.43i | −0.975620 | − | 1.34283i | ||||
\(749\) | 156.887i | 0.209461i | ||||||||
\(750\) | 1254.29 | − | 319.517i | 1.67239 | − | 0.426023i | ||||
\(751\) | 627.018 | 0.834911 | 0.417455 | − | 0.908697i | \(-0.362922\pi\) | ||||
0.417455 | + | 0.908697i | \(0.362922\pi\) | |||||||
\(752\) | −68.3840 | + | 49.6839i | −0.0909361 | + | 0.0660690i | ||||
\(753\) | 496.788 | + | 1111.47i | 0.659745 | + | 1.47606i | ||||
\(754\) | −229.101 | + | 705.100i | −0.303847 | + | 0.935146i | ||||
\(755\) | 64.2384 | + | 244.234i | 0.0850840 | + | 0.323488i | ||||
\(756\) | −598.482 | + | 831.310i | −0.791643 | + | 1.09962i | ||||
\(757\) | 438.031i | 0.578641i | 0.957232 | + | 0.289320i | \(0.0934293\pi\) | ||||
−0.957232 | + | 0.289320i | \(0.906571\pi\) | |||||||
\(758\) | −126.927 | − | 390.642i | −0.167450 | − | 0.515358i | ||||
\(759\) | −684.844 | + | 72.9827i | −0.902297 | + | 0.0961564i | ||||
\(760\) | −504.279 | − | 412.216i | −0.663526 | − | 0.542390i | ||||
\(761\) | −555.927 | − | 765.168i | −0.730521 | − | 1.00548i | −0.999108 | − | 0.0422209i | \(-0.986557\pi\) |
0.268587 | − | 0.963255i | \(-0.413443\pi\) | |||||||
\(762\) | −174.716 | + | 18.6192i | −0.229285 | + | 0.0244346i | ||||
\(763\) | 148.875 | − | 204.909i | 0.195119 | − | 0.268558i | ||||
\(764\) | −74.9167 | − | 103.114i | −0.0980586 | − | 0.134966i | ||||
\(765\) | −173.438 | + | 1083.06i | −0.226716 | + | 1.41577i | ||||
\(766\) | 2097.98 | + | 1524.27i | 2.73888 | + | 1.98991i | ||||
\(767\) | 416.365 | + | 1281.44i | 0.542848 | + | 1.67071i | ||||
\(768\) | 1016.89 | + | 1126.09i | 1.32408 | + | 1.46626i | ||||
\(769\) | −243.815 | − | 750.386i | −0.317055 | − | 0.975794i | −0.974900 | − | 0.222641i | \(-0.928532\pi\) |
0.657846 | − | 0.753153i | \(-0.271468\pi\) | |||||||
\(770\) | −531.675 | − | 30.3193i | −0.690487 | − | 0.0393757i | ||||
\(771\) | −909.402 | + | 406.471i | −1.17951 | + | 0.527200i | ||||
\(772\) | 1497.86 | + | 486.683i | 1.94023 | + | 0.630418i | ||||
\(773\) | 554.735 | − | 403.039i | 0.717640 | − | 0.521396i | −0.167990 | − | 0.985789i | \(-0.553728\pi\) |
0.885629 | + | 0.464393i | \(0.153728\pi\) | |||||||
\(774\) | 253.659 | + | 25.9181i | 0.327724 | + | 0.0334860i | ||||
\(775\) | 955.221 | + | 876.147i | 1.23254 | + | 1.13051i | ||||
\(776\) | 2116.89i | 2.72796i | ||||||||
\(777\) | 400.190 | + | 84.4575i | 0.515045 | + | 0.108697i | ||||
\(778\) | −686.529 | − | 223.067i | −0.882428 | − | 0.286718i | ||||
\(779\) | −145.037 | − | 47.1254i | −0.186183 | − | 0.0604947i | ||||
\(780\) | 530.329 | − | 1954.51i | 0.679908 | − | 2.50579i | ||||
\(781\) | 38.5361 | + | 118.602i | 0.0493421 | + | 0.151859i | ||||
\(782\) | 3000.74 | 3.83727 | ||||||||
\(783\) | −198.607 | + | 275.871i | −0.253649 | + | 0.352326i | ||||
\(784\) | −315.081 | − | 228.919i | −0.401888 | − | 0.291989i | ||||
\(785\) | 601.993 | − | 158.336i | 0.766870 | − | 0.201702i | ||||
\(786\) | −317.485 | + | 1504.36i | −0.403924 | + | 1.91394i | ||||
\(787\) | 617.749 | − | 850.258i | 0.784941 | − | 1.08038i | −0.209779 | − | 0.977749i | \(-0.567274\pi\) |
0.994720 | − | 0.102630i | \(-0.0327257\pi\) | |||||||
\(788\) | −213.509 | − | 155.123i | −0.270950 | − | 0.196857i | ||||
\(789\) | −1228.65 | − | 259.299i | −1.55723 | − | 0.328643i | ||||
\(790\) | −257.886 | + | 165.790i | −0.326439 | + | 0.209861i | ||||
\(791\) | 15.6661 | − | 21.5626i | 0.0198054 | − | 0.0272599i | ||||
\(792\) | 164.907 | + | 764.926i | 0.208215 | + | 0.965815i | ||||
\(793\) | 291.942i | 0.368149i | ||||||||
\(794\) | −1286.84 | + | 418.119i | −1.62070 | + | 0.526599i | ||||
\(795\) | 30.7195 | − | 11.6810i | 0.0386409 | − | 0.0146931i | ||||
\(796\) | −515.147 | + | 1585.46i | −0.647170 | + | 1.99178i | ||||
\(797\) | 484.162 | − | 1490.10i | 0.607481 | − | 1.86963i | 0.128737 | − | 0.991679i | \(-0.458908\pi\) |
0.478743 | − | 0.877955i | \(-0.341092\pi\) | |||||||
\(798\) | 98.8545 | − | 468.408i | 0.123878 | − | 0.586977i | ||||
\(799\) | −137.633 | −0.172257 | ||||||||
\(800\) | 51.4106 | − | 29.0540i | 0.0642632 | − | 0.0363175i | ||||
\(801\) | 491.262 | + | 50.1958i | 0.613311 | + | 0.0626664i | ||||
\(802\) | −920.876 | − | 1267.48i | −1.14822 | − | 1.58040i | ||||
\(803\) | 259.169 | − | 797.639i | 0.322750 | − | 0.993324i | ||||
\(804\) | 138.900 | + | 310.762i | 0.172761 | + | 0.386520i | ||||
\(805\) | 541.098 | − | 661.945i | 0.672171 | − | 0.822292i | ||||
\(806\) | 2903.72 | − | 943.477i | 3.60264 | − | 1.17057i | ||||
\(807\) | −102.350 | + | 92.4247i | −0.126827 | + | 0.114529i | ||||
\(808\) | 1182.68 | − | 384.276i | 1.46371 | − | 0.475589i | ||||
\(809\) | 678.239 | − | 933.516i | 0.838367 | − | 1.15391i | −0.147940 | − | 0.988996i | \(-0.547264\pi\) |
0.986307 | − | 0.164917i | \(-0.0527358\pi\) | |||||||
\(810\) | 759.956 | − | 1173.28i | 0.938218 | − | 1.44849i | ||||
\(811\) | −207.383 | + | 150.673i | −0.255713 | + | 0.185786i | −0.708255 | − | 0.705957i | \(-0.750517\pi\) |
0.452542 | + | 0.891743i | \(0.350517\pi\) | |||||||
\(812\) | 386.416 | + | 280.748i | 0.475882 | + | 0.345749i | ||||
\(813\) | −124.045 | − | 1163.99i | −0.152576 | − | 1.43172i | ||||
\(814\) | 511.130 | − | 371.358i | 0.627924 | − | 0.456213i | ||||
\(815\) | 677.235 | + | 263.550i | 0.830963 | + | 0.323375i | ||||
\(816\) | −115.998 | − | 1088.49i | −0.142155 | − | 1.33393i | ||||
\(817\) | −75.2812 | + | 24.4604i | −0.0921435 | + | 0.0299392i | ||||
\(818\) | −774.060 | −0.946283 | ||||||||
\(819\) | 719.597 | − | 155.134i | 0.878628 | − | 0.189419i | ||||
\(820\) | −396.008 | + | 484.451i | −0.482937 | + | 0.590794i | ||||
\(821\) | −1412.69 | − | 459.010i | −1.72069 | − | 0.559086i | −0.728636 | − | 0.684901i | \(-0.759845\pi\) |
−0.992054 | + | 0.125815i | \(0.959845\pi\) | |||||||
\(822\) | −1056.77 | + | 472.340i | −1.28561 | + | 0.574622i | ||||
\(823\) | 379.623 | + | 522.507i | 0.461268 | + | 0.634880i | 0.974771 | − | 0.223207i | \(-0.0716526\pi\) |
−0.513503 | + | 0.858088i | \(0.671653\pi\) | |||||||
\(824\) | 2484.35i | 3.01499i | ||||||||
\(825\) | 482.727 | + | 3.74647i | 0.585124 | + | 0.00454118i | ||||
\(826\) | 1306.82 | 1.58210 | ||||||||
\(827\) | −852.084 | + | 619.076i | −1.03033 | + | 0.748580i | −0.968375 | − | 0.249499i | \(-0.919734\pi\) |
−0.0619568 | + | 0.998079i | \(0.519734\pi\) | |||||||
\(828\) | −2323.64 | − | 1026.50i | −2.80633 | − | 1.23973i | ||||
\(829\) | −440.918 | + | 1357.00i | −0.531867 | + | 1.63692i | 0.218457 | + | 0.975847i | \(0.429898\pi\) |
−0.750323 | + | 0.661071i | \(0.770102\pi\) | |||||||
\(830\) | 208.713 | − | 536.321i | 0.251461 | − | 0.646170i | ||||
\(831\) | −906.223 | − | 521.460i | −1.09052 | − | 0.627509i | ||||
\(832\) | − | 1160.69i | − | 1.39506i | ||||||
\(833\) | −195.962 | − | 603.110i | −0.235249 | − | 0.724021i | ||||
\(834\) | 12.6008 | + | 118.241i | 0.0151088 | + | 0.141776i | ||||
\(835\) | 490.799 | − | 315.525i | 0.587783 | − | 0.377875i | ||||
\(836\) | −288.722 | − | 397.392i | −0.345361 | − | 0.475349i | ||||
\(837\) | 1399.86 | − | 6.08092i | 1.67247 | − | 0.00726514i | ||||
\(838\) | −88.8042 | + | 122.228i | −0.105972 | + | 0.145857i | ||||
\(839\) | 199.569 | + | 274.683i | 0.237865 | + | 0.327393i | 0.911215 | − | 0.411931i | \(-0.135145\pi\) |
−0.673350 | + | 0.739324i | \(0.735145\pi\) | |||||||
\(840\) | −812.989 | − | 531.617i | −0.967844 | − | 0.632878i | ||||
\(841\) | −552.151 | − | 401.161i | −0.656541 | − | 0.477005i | ||||
\(842\) | −569.407 | − | 1752.46i | −0.676256 | − | 2.08130i | ||||
\(843\) | −896.583 | + | 809.641i | −1.06356 | + | 0.960428i | ||||
\(844\) | 298.633 | + | 919.098i | 0.353830 | + | 1.08898i | ||||
\(845\) | −513.436 | + | 330.078i | −0.607617 | + | 0.390625i | ||||
\(846\) | 160.448 | + | 70.8798i | 0.189654 | + | 0.0837823i | ||||
\(847\) | 362.800 | + | 117.881i | 0.428335 | + | 0.139175i | ||||
\(848\) | −26.5350 | + | 19.2788i | −0.0312913 | + | 0.0227344i | ||||
\(849\) | −525.937 | + | 474.937i | −0.619478 | + | 0.559407i | ||||
\(850\) | −2089.66 | − | 239.108i | −2.45842 | − | 0.281303i | ||||
\(851\) | 1014.30i | 1.19190i | ||||||||
\(852\) | −94.9802 | + | 450.050i | −0.111479 | + | 0.528228i | ||||
\(853\) | 1425.16 | + | 463.062i | 1.67076 | + | 0.542863i | 0.983084 | − | 0.183153i | \(-0.0586305\pi\) |
0.687677 | + | 0.726017i | \(0.258630\pi\) | |||||||
\(854\) | 269.294 | + | 87.4989i | 0.315333 | + | 0.102458i | ||||
\(855\) | −68.6186 | + | 428.501i | −0.0802557 | + | 0.501171i | ||||
\(856\) | 136.599 | + | 420.410i | 0.159579 | + | 0.491133i | ||||
\(857\) | −280.524 | −0.327333 | −0.163666 | − | 0.986516i | \(-0.552332\pi\) | ||||
−0.163666 | + | 0.986516i | \(0.552332\pi\) | |||||||
\(858\) | 567.124 | − | 985.580i | 0.660983 | − | 1.14869i | ||||
\(859\) | 253.517 | + | 184.191i | 0.295130 | + | 0.214425i | 0.725490 | − | 0.688233i | \(-0.241613\pi\) |
−0.430360 | + | 0.902658i | \(0.641613\pi\) | |||||||
\(860\) | −18.4906 | + | 324.248i | −0.0215007 | + | 0.377033i | ||||
\(861\) | −222.536 | − | 46.9649i | −0.258463 | − | 0.0545469i | ||||
\(862\) | 847.315 | − | 1166.23i | 0.982963 | − | 1.35293i | ||||
\(863\) | 474.919 | + | 345.049i | 0.550311 | + | 0.399825i | 0.827900 | − | 0.560875i | \(-0.189535\pi\) |
−0.277589 | + | 0.960700i | \(0.589535\pi\) | |||||||
\(864\) | 19.4444 | − | 60.7402i | 0.0225051 | − | 0.0703011i | ||||
\(865\) | 295.094 | + | 241.220i | 0.341149 | + | 0.278867i | ||||
\(866\) | −1381.74 | + | 1901.80i | −1.59554 | + | 2.19608i | ||||
\(867\) | 456.544 | − | 793.409i | 0.526580 | − | 0.915120i | ||||
\(868\) | − | 1966.99i | − | 2.26612i | ||||||
\(869\) | −108.746 | + | 35.3339i | −0.125140 | + | 0.0406604i | ||||
\(870\) | −545.544 | − | 356.734i | −0.627062 | − | 0.410039i | ||||
\(871\) | 75.5915 | − | 232.647i | 0.0867870 | − | 0.267103i | ||||
\(872\) | 220.530 | − | 678.720i | 0.252901 | − | 0.778349i | ||||
\(873\) | 1219.43 | − | 708.753i | 1.39682 | − | 0.811859i | ||||
\(874\) | 1187.21 | 1.35836 | ||||||||
\(875\) | −429.556 | + | 417.850i | −0.490921 | + | 0.477542i | ||||
\(876\) | 2295.85 | − | 2073.22i | 2.62083 | − | 2.36669i | ||||
\(877\) | 286.619 | + | 394.497i | 0.326817 | + | 0.449825i | 0.940533 | − | 0.339701i | \(-0.110326\pi\) |
−0.613716 | + | 0.789527i | \(0.710326\pi\) | |||||||
\(878\) | −248.524 | + | 764.877i | −0.283057 | + | 0.871158i | ||||
\(879\) | 1075.37 | − | 480.653i | 1.22340 | − | 0.546818i | ||||
\(880\) | −465.921 | + | 122.547i | −0.529456 | + | 0.139258i | ||||
\(881\) | −18.7206 | + | 6.08269i | −0.0212492 | + | 0.00690430i | −0.319622 | − | 0.947545i | \(-0.603556\pi\) |
0.298373 | + | 0.954449i | \(0.403556\pi\) | |||||||
\(882\) | −82.1506 | + | 804.002i | −0.0931413 | + | 0.911567i | ||||
\(883\) | −1177.85 | + | 382.707i | −1.33392 | + | 0.433416i | −0.887252 | − | 0.461285i | \(-0.847389\pi\) |
−0.446666 | + | 0.894701i | \(0.647389\pi\) | |||||||
\(884\) | −1934.34 | + | 2662.39i | −2.18817 | + | 3.01175i | ||||
\(885\) | −1183.19 | + | 58.2638i | −1.33693 | + | 0.0658348i | ||||
\(886\) | −479.145 | + | 348.119i | −0.540795 | + | 0.392911i | ||||
\(887\) | −756.749 | − | 549.811i | −0.853156 | − | 0.619854i | 0.0728585 | − | 0.997342i | \(-0.476788\pi\) |
−0.926014 | + | 0.377488i | \(0.876788\pi\) | |||||||
\(888\) | 1145.93 | − | 122.120i | 1.29046 | − | 0.137522i | ||||
\(889\) | 65.8124 | − | 47.8155i | 0.0740297 | − | 0.0537857i | ||||
\(890\) | −53.9118 | + | 945.391i | −0.0605751 | + | 1.06224i | ||||
\(891\) | 385.420 | − | 351.097i | 0.432570 | − | 0.394048i | ||||
\(892\) | −173.446 | + | 56.3559i | −0.194446 | + | 0.0631792i | ||||
\(893\) | −54.4528 | −0.0609774 | ||||||||
\(894\) | 222.439 | + | 127.996i | 0.248813 | + | 0.143172i | ||||
\(895\) | 7.34161 | − | 128.741i | 0.00820291 | − | 0.143845i | ||||
\(896\) | −1027.57 | − | 333.877i | −1.14684 | − | 0.372631i | ||||
\(897\) | 744.932 | + | 1666.65i | 0.830471 | + | 1.85802i | ||||
\(898\) | −113.146 | − | 155.731i | −0.125997 | − | 0.173420i | ||||
\(899\) | − | 652.748i | − | 0.726082i | ||||||
\(900\) | 1536.34 | + | 899.988i | 1.70705 | + | 0.999987i | ||||
\(901\) | −53.4057 | −0.0592738 | ||||||||
\(902\) | −284.227 | + | 206.503i | −0.315108 | + | 0.228939i | ||||
\(903\) | −107.776 | + | 48.1720i | −0.119353 | + | 0.0533466i | ||||
\(904\) | 23.2063 | − | 71.4215i | 0.0256706 | − | 0.0790061i | ||||
\(905\) | 625.735 | − | 402.273i | 0.691420 | − | 0.444501i | ||||
\(906\) | −260.844 | + | 453.310i | −0.287908 | + | 0.500342i | ||||
\(907\) | − | 1496.48i | − | 1.64992i | −0.565192 | − | 0.824959i | \(-0.691198\pi\) | ||
0.565192 | − | 0.824959i | \(-0.308802\pi\) | |||||||
\(908\) | −131.063 | − | 403.372i | −0.144343 | − | 0.444242i | ||||
\(909\) | −617.332 | − | 552.619i | −0.679133 | − | 0.607942i | ||||
\(910\) | 359.059 | + | 1365.14i | 0.394570 | + | 1.50015i | ||||
\(911\) | −25.1739 | − | 34.6490i | −0.0276333 | − | 0.0380340i | 0.794977 | − | 0.606640i | \(-0.207483\pi\) |
−0.822610 | + | 0.568606i | \(0.807483\pi\) | |||||||
\(912\) | −45.8933 | − | 430.647i | −0.0503216 | − | 0.472200i | ||||
\(913\) | 126.162 | − | 173.647i | 0.138184 | − | 0.190194i | ||||
\(914\) | 914.067 | + | 1258.11i | 1.00007 | + | 1.37648i | ||||
\(915\) | −247.718 | − | 67.2147i | −0.270730 | − | 0.0734587i | ||||
\(916\) | −1839.08 | − | 1336.17i | −2.00773 | − | 1.45870i | ||||
\(917\) | −219.969 | − | 676.995i | −0.239879 | − | 0.738271i | ||||
\(918\) | −1831.91 | + | 1343.16i | −1.99555 | + | 1.46314i | ||||
\(919\) | 33.9736 | + | 104.560i | 0.0369680 | + | 0.113776i | 0.967838 | − | 0.251576i | \(-0.0809488\pi\) |
−0.930870 | + | 0.365352i | \(0.880949\pi\) | |||||||
\(920\) | 873.634 | − | 2244.94i | 0.949602 | − | 2.44016i | ||||
\(921\) | 26.2908 | + | 58.8207i | 0.0285459 | + | 0.0638662i | ||||
\(922\) | −1982.51 | − | 644.156i | −2.15023 | − | 0.698651i | ||||
\(923\) | 267.420 | − | 194.292i | 0.289729 | − | 0.210500i | ||||
\(924\) | −490.976 | − | 543.699i | −0.531360 | − | 0.588419i | ||||
\(925\) | 80.8226 | − | 706.342i | 0.0873757 | − | 0.763613i | ||||
\(926\) | − | 1031.63i | − | 1.11408i | ||||||
\(927\) | 1431.10 | − | 831.781i | 1.54380 | − | 0.897282i | ||||
\(928\) | −28.2829 | − | 9.18968i | −0.0304773 | − | 0.00990267i | ||||
\(929\) | 1367.63 | + | 444.370i | 1.47215 | + | 0.478332i | 0.931758 | − | 0.363080i | \(-0.118275\pi\) |
0.540395 | + | 0.841411i | \(0.318275\pi\) | |||||||
\(930\) | 132.025 | + | 2681.08i | 0.141962 | + | 2.88289i | ||||
\(931\) | −77.5300 | − | 238.613i | −0.0832761 | − | 0.256297i | ||||
\(932\) | −3184.84 | −3.41721 | ||||||||
\(933\) | 49.9030 | + | 28.7153i | 0.0534867 | + | 0.0307774i | ||||
\(934\) | −45.2016 | − | 32.8409i | −0.0483957 | − | 0.0351616i | ||||
\(935\) | −731.043 | − | 284.490i | −0.781864 | − | 0.304267i | ||||
\(936\) | 1793.23 | − | 1042.26i | 1.91584 | − | 1.11352i | ||||
\(937\) | −689.179 | + | 948.573i | −0.735516 | + | 1.01235i | 0.263348 | + | 0.964701i | \(0.415173\pi\) |
−0.998864 | + | 0.0476503i | \(0.984827\pi\) | |||||||
\(938\) | −191.943 | − | 139.455i | −0.204630 | − | 0.148672i | ||||
\(939\) | −304.075 | + | 1440.82i | −0.323829 | + | 1.53442i | ||||
\(940\) | −81.0262 | + | 208.210i | −0.0861980 | + | 0.221500i | ||||
\(941\) | −30.1867 | + | 41.5484i | −0.0320794 | + | 0.0441535i | −0.824755 | − | 0.565490i | \(-0.808687\pi\) |
0.792676 | + | 0.609643i | \(0.208687\pi\) | |||||||
\(942\) | 1117.33 | + | 642.935i | 1.18612 | + | 0.682521i | ||||
\(943\) | − | 564.031i | − | 0.598124i | ||||||
\(944\) | 1124.37 | − | 365.329i | 1.19107 | − | 0.387001i | ||||
\(945\) | −34.0404 | + | 646.308i | −0.0360216 | + | 0.683924i | ||||
\(946\) | −56.3506 | + | 173.429i | −0.0595673 | + | 0.183329i | ||||
\(947\) | 339.478 | − | 1044.81i | 0.358477 | − | 1.10328i | −0.595489 | − | 0.803364i | \(-0.703042\pi\) |
0.953966 | − | 0.299915i | \(-0.0969585\pi\) | |||||||
\(948\) | −412.652 | − | 87.0875i | −0.435287 | − | 0.0918645i | ||||
\(949\) | −2223.05 | −2.34252 | ||||||||
\(950\) | −826.748 | − | 94.5999i | −0.870261 | − | 0.0995789i | ||||
\(951\) | −390.399 | − | 432.322i | −0.410515 | − | 0.454597i | ||||
\(952\) | 927.800 | + | 1277.01i | 0.974580 | + | 1.34139i | ||||
\(953\) | −282.837 | + | 870.484i | −0.296786 | + | 0.913415i | 0.685829 | + | 0.727763i | \(0.259440\pi\) |
−0.982616 | + | 0.185652i | \(0.940560\pi\) | |||||||
\(954\) | 62.2583 | + | 27.5034i | 0.0652603 | + | 0.0288296i | ||||
\(955\) | −75.0480 | − | 29.2054i | −0.0785843 | − | 0.0305816i | ||||
\(956\) | 1899.91 | − | 617.319i | 1.98736 | − | 0.645731i | ||||
\(957\) | −162.931 | − | 180.427i | −0.170252 | − | 0.188534i | ||||
\(958\) | −563.038 | + | 182.942i | −0.587722 | + | 0.190963i | ||||
\(959\) | 315.004 | − | 433.566i | 0.328472 | − | 0.452102i | ||||
\(960\) | 984.869 | + | 267.230i | 1.02590 | + | 0.278364i | ||||
\(961\) | −1397.28 | + | 1015.18i | −1.45398 | + | 1.05638i | ||||
\(962\) | −1354.82 | − | 984.334i | −1.40834 | − | 1.02322i | ||||
\(963\) | 196.440 | − | 219.444i | 0.203988 | − | 0.227875i | ||||
\(964\) | −207.183 | + | 150.527i | −0.214920 | + | 0.156149i | ||||
\(965\) | 962.363 | − | 253.121i | 0.997267 | − | 0.262301i | ||||
\(966\) | 1760.62 | − | 187.626i | 1.82259 | − | 0.194230i | ||||
\(967\) | −384.880 | + | 125.055i | −0.398015 | + | 0.129323i | −0.501183 | − | 0.865341i | \(-0.667102\pi\) |
0.103169 | + | 0.994664i | \(0.467102\pi\) | |||||||
\(968\) | 1074.83 | 1.11036 | ||||||||
\(969\) | 351.705 | − | 611.213i | 0.362956 | − | 0.630766i | ||||
\(970\) | 1462.57 | + | 2275.02i | 1.50780 | + | 2.34538i | ||||
\(971\) | −497.083 | − | 161.512i | −0.511929 | − | 0.166336i | 0.0416501 | − | 0.999132i | \(-0.486739\pi\) |
−0.553580 | + | 0.832796i | \(0.686739\pi\) | |||||||
\(972\) | 1878.02 | − | 413.419i | 1.93212 | − | 0.425328i | ||||
\(973\) | −32.3598 | − | 44.5395i | −0.0332578 | − | 0.0457754i | ||||
\(974\) | − | 2362.22i | − | 2.42528i | ||||||
\(975\) | −385.953 | − | 1219.98i | −0.395850 | − | 1.25126i | ||||
\(976\) | 256.157 | 0.262456 | ||||||||
\(977\) | 669.765 | − | 486.613i | 0.685533 | − | 0.498069i | −0.189656 | − | 0.981851i | \(-0.560737\pi\) |
0.875189 | + | 0.483782i | \(0.160737\pi\) | |||||||
\(978\) | 614.122 | + | 1373.98i | 0.627937 | + | 1.40489i | ||||
\(979\) | −109.135 | + | 335.882i | −0.111476 | + | 0.343086i | ||||
\(980\) | −1027.74 | − | 58.6081i | −1.04872 | − | 0.0598042i | ||||
\(981\) | −464.809 | + | 100.206i | −0.473811 | + | 0.102147i | ||||
\(982\) | 1695.20i | 1.72627i | ||||||||
\(983\) | 199.079 | + | 612.701i | 0.202521 | + | 0.623297i | 0.999806 | + | 0.0196933i | \(0.00626898\pi\) |
−0.797285 | + | 0.603603i | \(0.793731\pi\) | |||||||
\(984\) | −637.223 | + | 67.9078i | −0.647584 | + | 0.0690120i | ||||
\(985\) | −166.477 | − | 9.49349i | −0.169012 | − | 0.00963806i | ||||
\(986\) | 622.586 | + | 856.916i | 0.631426 | + | 0.869083i | ||||
\(987\) | −80.7531 | + | 8.60573i | −0.0818167 | + | 0.00871908i | ||||
\(988\) | −765.297 | + | 1053.34i | −0.774592 | + | 1.06613i | ||||
\(989\) | −172.080 | − | 236.848i | −0.173994 | − | 0.239482i | ||||
\(990\) | 705.713 | + | 708.128i | 0.712841 | + | 0.715281i | ||||
\(991\) | 400.041 | + | 290.647i | 0.403674 | + | 0.293286i | 0.771036 | − | 0.636792i | \(-0.219739\pi\) |
−0.367362 | + | 0.930078i | \(0.619739\pi\) | |||||||
\(992\) | 37.8447 | + | 116.474i | 0.0381499 | + | 0.117413i | ||||
\(993\) | −302.698 | − | 335.203i | −0.304832 | − | 0.337566i | ||||
\(994\) | −99.0700 | − | 304.906i | −0.0996680 | − | 0.306747i | ||||
\(995\) | 267.925 | + | 1018.65i | 0.269271 | + | 1.02377i | ||||
\(996\) | 722.764 | − | 323.050i | 0.725667 | − | 0.324348i | ||||
\(997\) | −1302.86 | − | 423.324i | −1.30678 | − | 0.424598i | −0.428844 | − | 0.903379i | \(-0.641079\pi\) |
−0.877934 | + | 0.478781i | \(0.841079\pi\) | |||||||
\(998\) | −2319.43 | + | 1685.16i | −2.32408 | + | 1.68854i | ||||
\(999\) | −454.012 | − | 619.219i | −0.454466 | − | 0.619839i |
(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 | 75.3.h.a.14.2 | ✓ | 72 | |
3.2 | odd | 2 | inner | 75.3.h.a.14.17 | yes | 72 | |
5.2 | odd | 4 | 375.3.j.b.176.3 | 144 | |||
5.3 | odd | 4 | 375.3.j.b.176.34 | 144 | |||
5.4 | even | 2 | 375.3.h.a.74.17 | 72 | |||
15.2 | even | 4 | 375.3.j.b.176.33 | 144 | |||
15.8 | even | 4 | 375.3.j.b.176.4 | 144 | |||
15.14 | odd | 2 | 375.3.h.a.74.2 | 72 | |||
25.9 | even | 10 | inner | 75.3.h.a.59.17 | yes | 72 | |
25.12 | odd | 20 | 375.3.j.b.326.33 | 144 | |||
25.13 | odd | 20 | 375.3.j.b.326.4 | 144 | |||
25.16 | even | 5 | 375.3.h.a.299.2 | 72 | |||
75.38 | even | 20 | 375.3.j.b.326.34 | 144 | |||
75.41 | odd | 10 | 375.3.h.a.299.17 | 72 | |||
75.59 | odd | 10 | inner | 75.3.h.a.59.2 | yes | 72 | |
75.62 | even | 20 | 375.3.j.b.326.3 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.h.a.14.2 | ✓ | 72 | 1.1 | even | 1 | trivial | |
75.3.h.a.14.17 | yes | 72 | 3.2 | odd | 2 | inner | |
75.3.h.a.59.2 | yes | 72 | 75.59 | odd | 10 | inner | |
75.3.h.a.59.17 | yes | 72 | 25.9 | even | 10 | inner | |
375.3.h.a.74.2 | 72 | 15.14 | odd | 2 | |||
375.3.h.a.74.17 | 72 | 5.4 | even | 2 | |||
375.3.h.a.299.2 | 72 | 25.16 | even | 5 | |||
375.3.h.a.299.17 | 72 | 75.41 | odd | 10 | |||
375.3.j.b.176.3 | 144 | 5.2 | odd | 4 | |||
375.3.j.b.176.4 | 144 | 15.8 | even | 4 | |||
375.3.j.b.176.33 | 144 | 15.2 | even | 4 | |||
375.3.j.b.176.34 | 144 | 5.3 | odd | 4 | |||
375.3.j.b.326.3 | 144 | 75.62 | even | 20 | |||
375.3.j.b.326.4 | 144 | 25.13 | odd | 20 | |||
375.3.j.b.326.33 | 144 | 25.12 | odd | 20 | |||
375.3.j.b.326.34 | 144 | 75.38 | even | 20 |