Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,6,Mod(361,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.361");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.i (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: | \(94.3056860500\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 703x^{6} + 2770x^{5} + 427565x^{4} + 718170x^{3} + 42175732x^{2} - 40929504x + 3559792896 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{4}\cdot 7^{2} \) |
Twist minimal: | no (minimal twist has level 84) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.4 | ||
Root | \(4.59067 + 7.95128i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 588.373 |
Dual form | 588.6.i.o.361.4 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 | 0 | ||||||||
\(3\) | −4.50000 | − | 7.79423i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 39.3359 | − | 68.1317i | 0.703662 | − | 1.21878i | −0.263511 | − | 0.964656i | \(-0.584880\pi\) |
0.967172 | − | 0.254121i | \(-0.0817862\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −345.759 | − | 598.873i | −0.861574 | − | 1.49229i | −0.870410 | − | 0.492328i | \(-0.836146\pi\) |
0.00883597 | − | 0.999961i | \(-0.497187\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −818.732 | −1.34364 | −0.671821 | − | 0.740714i | \(-0.734488\pi\) | ||||
−0.671821 | + | 0.740714i | \(0.734488\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −708.046 | −0.812518 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 554.638 | + | 960.661i | 0.465465 | + | 0.806209i | 0.999222 | − | 0.0394286i | \(-0.0125538\pi\) |
−0.533757 | + | 0.845638i | \(0.679220\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −286.523 | + | 496.273i | −0.182086 | + | 0.315382i | −0.942591 | − | 0.333951i | \(-0.891618\pi\) |
0.760505 | + | 0.649332i | \(0.224951\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1258.80 | + | 2180.30i | −0.496177 | + | 0.859403i | −0.999990 | − | 0.00440926i | \(-0.998596\pi\) |
0.503814 | + | 0.863812i | \(0.331930\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1532.12 | − | 2653.71i | −0.490279 | − | 0.849189i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3258.19 | −0.719419 | −0.359710 | − | 0.933064i | \(-0.617124\pi\) | ||||
−0.359710 | + | 0.933064i | \(0.617124\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5059.55 | + | 8763.40i | 0.945601 | + | 1.63783i | 0.754544 | + | 0.656249i | \(0.227858\pi\) |
0.191056 | + | 0.981579i | \(0.438809\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3111.84 | + | 5389.86i | −0.497430 | + | 0.861574i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2434.81 | + | 4217.21i | −0.292389 | + | 0.506432i | −0.974374 | − | 0.224934i | \(-0.927783\pi\) |
0.681985 | + | 0.731366i | \(0.261117\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3684.30 | + | 6381.39i | 0.387876 | + | 0.671821i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 13094.3 | 1.21653 | 0.608265 | − | 0.793734i | \(-0.291866\pi\) | ||||
0.608265 | + | 0.793734i | \(0.291866\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9303.64 | −0.767329 | −0.383664 | − | 0.923473i | \(-0.625338\pi\) | ||||
−0.383664 | + | 0.923473i | \(0.625338\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3186.21 | + | 5518.67i | 0.234554 | + | 0.406259i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 6452.90 | − | 11176.8i | 0.426099 | − | 0.738025i | −0.570423 | − | 0.821351i | \(-0.693221\pi\) |
0.996522 | + | 0.0833256i | \(0.0265542\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4991.74 | − | 8645.95i | 0.268736 | − | 0.465465i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 9770.12 | + | 16922.3i | 0.477760 | + | 0.827505i | 0.999675 | − | 0.0254926i | \(-0.00811542\pi\) |
−0.521915 | + | 0.852998i | \(0.674782\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −54403.0 | −2.42503 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5157.42 | 0.210254 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −12560.2 | − | 21755.0i | −0.469751 | − | 0.813632i | 0.529651 | − | 0.848216i | \(-0.322323\pi\) |
−0.999402 | + | 0.0345835i | \(0.988990\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −15681.1 | + | 27160.5i | −0.539575 | + | 0.934571i | 0.459352 | + | 0.888254i | \(0.348082\pi\) |
−0.998927 | + | 0.0463168i | \(0.985252\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −32205.6 | + | 55781.7i | −0.945469 | + | 1.63760i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −27971.9 | − | 48448.8i | −0.761264 | − | 1.31855i | −0.942200 | − | 0.335052i | \(-0.891246\pi\) |
0.180936 | − | 0.983495i | \(-0.442087\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 22658.4 | 0.572935 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 20501.0 | 0.482647 | 0.241323 | − | 0.970445i | \(-0.422419\pi\) | ||||
0.241323 | + | 0.970445i | \(0.422419\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −33825.0 | − | 58586.6i | −0.742900 | − | 1.28674i | −0.951170 | − | 0.308669i | \(-0.900116\pi\) |
0.208270 | − | 0.978071i | \(-0.433217\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −13789.1 | + | 23883.4i | −0.283063 | + | 0.490279i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7039.95 | + | 12193.5i | −0.126912 | + | 0.219818i | −0.922479 | − | 0.386048i | \(-0.873840\pi\) |
0.795567 | + | 0.605866i | \(0.207173\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 77129.1 | 1.22892 | 0.614459 | − | 0.788949i | \(-0.289374\pi\) | ||||
0.614459 | + | 0.788949i | \(0.289374\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 87268.6 | 1.31012 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 14661.9 | + | 25395.1i | 0.207678 | + | 0.359710i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 160.396 | − | 277.815i | 0.00214644 | − | 0.00371775i | −0.864950 | − | 0.501858i | \(-0.832650\pi\) |
0.867097 | + | 0.498140i | \(0.165983\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 45536.0 | − | 78870.6i | 0.545943 | − | 0.945601i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 22541.3 | + | 39042.6i | 0.256253 | + | 0.443844i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 112009. | 1.20871 | 0.604355 | − | 0.796715i | \(-0.293431\pi\) | ||||
0.604355 | + | 0.796715i | \(0.293431\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 56013.0 | 0.574382 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 33627.0 | + | 58243.7i | 0.328008 | + | 0.568127i | 0.982117 | − | 0.188274i | \(-0.0602893\pi\) |
−0.654108 | + | 0.756401i | \(0.726956\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −58317.6 | + | 101009.i | −0.541635 | + | 0.938140i | 0.457175 | + | 0.889377i | \(0.348861\pi\) |
−0.998810 | + | 0.0487630i | \(0.984472\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 80322.6 | − | 139123.i | 0.678232 | − | 1.17473i | −0.297281 | − | 0.954790i | \(-0.596080\pi\) |
0.975513 | − | 0.219942i | \(-0.0705869\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −59668.3 | − | 103349.i | −0.481036 | − | 0.833179i | 0.518727 | − | 0.854940i | \(-0.326406\pi\) |
−0.999763 | + | 0.0217610i | \(0.993073\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 43826.6 | 0.337622 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −110893. | −0.816972 | −0.408486 | − | 0.912765i | \(-0.633943\pi\) | ||||
−0.408486 | + | 0.912765i | \(0.633943\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 99031.8 | + | 171528.i | 0.698281 | + | 1.20946i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 33158.7 | − | 57432.5i | 0.223940 | − | 0.387876i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −158574. | + | 274658.i | −0.984618 | + | 1.70541i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −58924.4 | − | 102060.i | −0.351182 | − | 0.608265i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4779.64 | 0.0273603 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 315184. | 1.73402 | 0.867012 | − | 0.498287i | \(-0.166038\pi\) | ||||
0.867012 | + | 0.498287i | \(0.166038\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 41866.4 | + | 72514.7i | 0.221509 | + | 0.383664i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 42832.3 | − | 74187.6i | 0.218068 | − | 0.377705i | −0.736149 | − | 0.676819i | \(-0.763358\pi\) |
0.954217 | + | 0.299114i | \(0.0966911\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 28675.9 | − | 49668.0i | 0.135420 | − | 0.234554i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 16316.1 | + | 28260.3i | 0.0742703 | + | 0.128640i | 0.900769 | − | 0.434299i | \(-0.143004\pi\) |
−0.826498 | + | 0.562939i | \(0.809671\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −206590. | −0.906925 | −0.453462 | − | 0.891275i | \(-0.649811\pi\) | ||||
−0.453462 | + | 0.891275i | \(0.649811\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −116152. | −0.492017 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 283084. | + | 490317.i | 1.15765 | + | 2.00510i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −128164. | + | 221986.i | −0.506228 | + | 0.876812i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −241855. | + | 418906.i | −0.892463 | + | 1.54579i | −0.0555495 | + | 0.998456i | \(0.517691\pi\) |
−0.836913 | + | 0.547335i | \(0.815642\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 83610.4 | + | 144818.i | 0.298413 | + | 0.516867i | 0.975773 | − | 0.218785i | \(-0.0702093\pi\) |
−0.677360 | + | 0.735652i | \(0.736876\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −89851.3 | −0.310310 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 796087. | 2.66153 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7054.26 | − | 12218.3i | −0.0228403 | − | 0.0395606i | 0.854379 | − | 0.519650i | \(-0.173938\pi\) |
−0.877220 | + | 0.480089i | \(0.840604\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 87931.0 | − | 152301.i | 0.275835 | − | 0.477760i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −327188. | + | 566706.i | −0.964558 | + | 1.67066i | −0.253762 | + | 0.967267i | \(0.581668\pi\) |
−0.710797 | + | 0.703397i | \(0.751665\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 244814. | + | 424030.i | 0.700044 | + | 1.21251i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −182945. | −0.507610 | −0.253805 | − | 0.967255i | \(-0.581682\pi\) | ||||
−0.253805 | + | 0.967255i | \(0.581682\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 299030. | 0.805374 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −23208.4 | − | 40198.1i | −0.0606952 | − | 0.105127i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −146004. | + | 252887.i | −0.370894 | + | 0.642407i | −0.989703 | − | 0.143134i | \(-0.954282\pi\) |
0.618809 | + | 0.785541i | \(0.287615\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −113042. | + | 195795.i | −0.271211 | + | 0.469751i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −97383.8 | − | 168674.i | −0.227172 | − | 0.393473i | 0.729797 | − | 0.683664i | \(-0.239615\pi\) |
−0.956969 | + | 0.290191i | \(0.906281\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 256634. | 0.582261 | 0.291130 | − | 0.956683i | \(-0.405969\pi\) | ||||
0.291130 | + | 0.956683i | \(0.405969\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 282260. | 0.623047 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 191551. | + | 331776.i | 0.411486 | + | 0.712714i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 383542. | − | 664315.i | 0.802065 | − | 1.38922i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 146975. | − | 254567.i | 0.291513 | − | 0.504916i | −0.682654 | − | 0.730741i | \(-0.739175\pi\) |
0.974168 | + | 0.225825i | \(0.0725079\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 34565.0 | + | 59868.4i | 0.0667950 | + | 0.115692i | 0.897489 | − | 0.441037i | \(-0.145389\pi\) |
−0.830694 | + | 0.556730i | \(0.812056\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 579700. | 1.09173 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 331748. | 0.609037 | 0.304518 | − | 0.952506i | \(-0.401505\pi\) | ||||
0.304518 | + | 0.952506i | \(0.401505\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 287214. | + | 497470.i | 0.514130 | + | 0.890500i | 0.999866 | + | 0.0163939i | \(0.00521858\pi\) |
−0.485735 | + | 0.874106i | \(0.661448\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −251747. | + | 436039.i | −0.439516 | + | 0.761264i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 515076. | − | 892138.i | 0.856025 | − | 1.48268i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −101963. | − | 176604.i | −0.165392 | − | 0.286468i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 396272. | 0.627521 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −383999. | −0.593777 | −0.296889 | − | 0.954912i | \(-0.595949\pi\) | ||||
−0.296889 | + | 0.954912i | \(0.595949\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −92254.5 | − | 159790.i | −0.139328 | − | 0.241323i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −365967. | + | 633873.i | −0.539940 | + | 0.935203i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −304425. | + | 527279.i | −0.428913 | + | 0.742900i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −454100. | − | 786524.i | −0.625418 | − | 1.08326i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 347165. | 0.467492 | 0.233746 | − | 0.972298i | \(-0.424902\pi\) | ||||
0.233746 | + | 0.972298i | \(0.424902\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 248204. | 0.326853 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 180641. | + | 312879.i | 0.232676 | + | 0.403006i | 0.958595 | − | 0.284774i | \(-0.0919186\pi\) |
−0.725919 | + | 0.687780i | \(0.758585\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −376492. | + | 652102.i | −0.474424 | + | 0.821726i | −0.999571 | − | 0.0292852i | \(-0.990677\pi\) |
0.525147 | + | 0.851011i | \(0.324010\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −357199. | + | 618686.i | −0.431042 | + | 0.746587i | −0.996963 | − | 0.0778721i | \(-0.975187\pi\) |
0.565921 | + | 0.824460i | \(0.308521\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −507661. | − | 879295.i | −0.599659 | − | 1.03864i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 126719. | 0.146545 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 343587. | 0.389083 | 0.194541 | − | 0.980894i | \(-0.437678\pi\) | ||||
0.194541 | + | 0.980894i | \(0.437678\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −38152.5 | − | 66082.0i | −0.0423136 | − | 0.0732893i | 0.844093 | − | 0.536197i | \(-0.180140\pi\) |
−0.886407 | + | 0.462908i | \(0.846806\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −29524.5 | + | 51137.9i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 234586. | − | 406314.i | 0.244658 | − | 0.423760i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −347081. | − | 601162.i | −0.354758 | − | 0.614459i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −196249. | −0.196618 | −0.0983090 | − | 0.995156i | \(-0.531343\pi\) | ||||
−0.0983090 | + | 0.995156i | \(0.531343\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.74096e6 | 1.70997 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −392709. | − | 680192.i | −0.378199 | − | 0.655060i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −854554. | + | 1.48013e6i | −0.807062 | + | 1.39787i | 0.107828 | + | 0.994170i | \(0.465610\pi\) |
−0.914890 | + | 0.403703i | \(0.867723\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 131957. | − | 228556.i | 0.119903 | − | 0.207678i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 395762. | + | 685481.i | 0.352814 | + | 0.611091i | 0.986741 | − | 0.162301i | \(-0.0518917\pi\) |
−0.633928 | + | 0.773392i | \(0.718558\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.53726e6 | 1.34473 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2887.13 | −0.00247850 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 579502. | + | 1.00373e6i | 0.488286 | + | 0.845736i | 0.999909 | − | 0.0134740i | \(-0.00428905\pi\) |
−0.511623 | + | 0.859210i | \(0.670956\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 111567. | − | 193240.i | 0.0922811 | − | 0.159836i | −0.816190 | − | 0.577784i | \(-0.803917\pi\) |
0.908471 | + | 0.417949i | \(0.137251\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.05949e6 | + | 1.83509e6i | −0.844823 | + | 1.46328i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 234523. | + | 406205.i | 0.183648 | + | 0.318087i | 0.943120 | − | 0.332452i | \(-0.107876\pi\) |
−0.759472 | + | 0.650540i | \(0.774543\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −819647. | −0.630400 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.51447e6 | −1.14418 | −0.572090 | − | 0.820191i | \(-0.693867\pi\) | ||||
−0.572090 | + | 0.820191i | \(0.693867\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −535303. | − | 927171.i | −0.397314 | − | 0.688167i | 0.596080 | − | 0.802925i | \(-0.296724\pi\) |
−0.993393 | + | 0.114758i | \(0.963391\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 202871. | − | 351384.i | 0.147948 | − | 0.256253i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 94682.6 | − | 163995.i | 0.0666846 | − | 0.115501i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −504039. | − | 873021.i | −0.348925 | − | 0.604355i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.45450e6 | −0.989794 | −0.494897 | − | 0.868952i | \(-0.664794\pi\) | ||||
−0.494897 | + | 0.868952i | \(0.664794\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.97627e6 | −1.32218 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −252059. | − | 436578.i | −0.165810 | − | 0.287191i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.03062e6 | − | 1.78508e6i | 0.666684 | − | 1.15473i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 302643. | − | 524193.i | 0.189376 | − | 0.328008i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.23366e6 | + | 2.13676e6i | 0.759356 | + | 1.31524i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.23869e6 | 1.35565 | 0.677824 | − | 0.735224i | \(-0.262923\pi\) | ||||
0.677824 | + | 0.735224i | \(0.262923\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.04972e6 | 0.625426 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −750695. | − | 1.30024e6i | −0.440111 | − | 0.762295i | 0.557586 | − | 0.830119i | \(-0.311728\pi\) |
−0.997697 | + | 0.0678240i | \(0.978394\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −890067. | + | 1.54164e6i | −0.513525 | + | 0.889452i | 0.486352 | + | 0.873763i | \(0.338327\pi\) |
−0.999877 | + | 0.0156888i | \(0.995006\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −735500. | + | 1.27392e6i | −0.411088 | + | 0.712025i | −0.995009 | − | 0.0997854i | \(-0.968184\pi\) |
0.583921 | + | 0.811810i | \(0.301518\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.12655e6 | + | 1.95124e6i | 0.619832 | + | 1.07358i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.44581e6 | −0.783155 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −635666. | −0.339018 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.25440e6 | + | 2.17268e6i | 0.658760 | + | 1.14101i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −537015. | + | 930137.i | −0.277726 | + | 0.481036i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 914873. | − | 1.58461e6i | 0.458977 | − | 0.794971i | −0.539930 | − | 0.841710i | \(-0.681549\pi\) |
0.998907 | + | 0.0467386i | \(0.0148828\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −197220. | − | 341594.i | −0.0974629 | − | 0.168811i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −4.40120e6 | −2.14269 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.18627e6 | 1.52830 | 0.764148 | − | 0.645041i | \(-0.223160\pi\) | ||||
0.764148 | + | 0.645041i | \(0.223160\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 499018. | + | 864324.i | 0.235840 | + | 0.408486i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.49878e6 | − | 6.06006e6i | 1.62941 | − | 2.82222i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 891286. | − | 1.54375e6i | 0.403153 | − | 0.698281i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.23895e6 | − | 2.14592e6i | −0.552370 | − | 0.956732i | −0.998103 | − | 0.0615664i | \(-0.980390\pi\) |
0.445733 | − | 0.895166i | \(-0.352943\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.81720e6 | −0.798618 | −0.399309 | − | 0.916816i | \(-0.630750\pi\) | ||||
−0.399309 | + | 0.916816i | \(0.630750\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −596856. | −0.258584 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.57678e6 | + | 2.73106e6i | 0.673493 | + | 1.16652i | 0.976907 | + | 0.213666i | \(0.0685403\pi\) |
−0.303413 | + | 0.952859i | \(0.598126\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 806425. | − | 1.39677e6i | 0.339620 | − | 0.588239i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.35105e6 | + | 2.34008e6i | −0.553266 | + | 0.958285i | 0.444770 | + | 0.895645i | \(0.353285\pi\) |
−0.998036 | + | 0.0626404i | \(0.980048\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.07386e6 | + | 1.85998e6i | 0.433690 | + | 0.751173i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.85433e6 | 1.13694 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.32214e6 | −2.09100 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.80573e6 | − | 3.12762e6i | −0.699824 | − | 1.21213i | −0.968527 | − | 0.248908i | \(-0.919928\pi\) |
0.268703 | − | 0.963223i | \(-0.413405\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −530319. | + | 918540.i | −0.202755 | + | 0.351182i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 216759. | − | 375438.i | 0.0806688 | − | 0.139722i | −0.822869 | − | 0.568232i | \(-0.807628\pi\) |
0.903537 | + | 0.428509i | \(0.140961\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −21508.4 | − | 37253.6i | −0.00789823 | − | 0.0136801i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.66759e6 | 0.966642 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.12163e6 | −0.758704 | −0.379352 | − | 0.925252i | \(-0.623853\pi\) | ||||
−0.379352 | + | 0.925252i | \(0.623853\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.41833e6 | − | 2.45662e6i | −0.500570 | − | 0.867012i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.12339e6 | + | 3.67782e6i | −0.739662 | + | 1.28113i | 0.212985 | + | 0.977055i | \(0.431681\pi\) |
−0.952647 | + | 0.304077i | \(0.901652\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 376797. | − | 652632.i | 0.127888 | − | 0.221509i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1.76088e6 | + | 3.04994e6i | 0.590006 | + | 1.02192i | 0.994231 | + | 0.107261i | \(0.0342081\pi\) |
−0.404224 | + | 0.914660i | \(0.632459\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.79271e6 | −0.923811 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −770981. | −0.251804 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 553845. | + | 959288.i | 0.178606 | + | 0.309354i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −367025. | + | 635706.i | −0.116874 | + | 0.202432i | −0.918527 | − | 0.395357i | \(-0.870621\pi\) |
0.801653 | + | 0.597790i | \(0.203954\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 111135. | − | 192492.i | 0.0345136 | − | 0.0597793i | −0.848253 | − | 0.529592i | \(-0.822345\pi\) |
0.882766 | + | 0.469812i | \(0.155678\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.14242e6 | − | 7.17488e6i | −1.27055 | − | 2.20065i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −516165. | −0.156369 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.36743e6 | 1.00766 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.75379e6 | − | 3.03765e6i | −0.518405 | − | 0.897904i | −0.999771 | − | 0.0213846i | \(-0.993193\pi\) |
0.481366 | − | 0.876520i | \(-0.340141\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 146845. | − | 254343.i | 0.0428800 | − | 0.0742703i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.03394e6 | − | 5.25494e6i | 0.864742 | − | 1.49778i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 929653. | + | 1.61021e6i | 0.261807 | + | 0.453462i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 1.97040e6 | 0.548302 | 0.274151 | − | 0.961687i | \(-0.411603\pi\) | ||||
0.274151 | + | 0.961687i | \(0.411603\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.19318e6 | −1.97795 | −0.988976 | − | 0.148079i | \(-0.952691\pi\) | ||||
−0.988976 | + | 0.148079i | \(0.952691\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 522685. | + | 905317.i | 0.142033 | + | 0.246008i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.69955e6 | − | 2.94370e6i | 0.456416 | − | 0.790535i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 2.54776e6 | − | 4.41285e6i | 0.668367 | − | 1.15765i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −262091. | − | 453955.i | −0.0679608 | − | 0.117712i | 0.830043 | − | 0.557700i | \(-0.188316\pi\) |
−0.898004 | + | 0.439988i | \(0.854983\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.49326e6 | −0.382750 | −0.191375 | − | 0.981517i | \(-0.561295\pi\) | ||||
−0.191375 | + | 0.981517i | \(0.561295\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.30695e6 | 0.584541 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −721349. | − | 1.24941e6i | −0.180693 | − | 0.312970i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.32835e6 | − | 2.30077e6i | 0.328966 | − | 0.569786i | −0.653341 | − | 0.757064i | \(-0.726633\pi\) |
0.982307 | + | 0.187278i | \(0.0599664\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.34399e6 | − | 4.05991e6i | 0.567474 | − | 0.982895i | −0.429340 | − | 0.903143i | \(-0.641254\pi\) |
0.996815 | − | 0.0797518i | \(-0.0254128\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12618.7 | − | 21856.2i | −0.00302074 | − | 0.00523207i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.35340e6 | 1.03053 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −3.45899e6 | −0.809716 | −0.404858 | − | 0.914379i | \(-0.632679\pi\) | ||||
−0.404858 | + | 0.914379i | \(0.632679\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.52748e6 | − | 7.84182e6i | −1.04813 | − | 1.81541i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 752494. | − | 1.30336e6i | 0.172289 | − | 0.298413i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −359140. | + | 622048.i | −0.0804401 | + | 0.139326i | −0.903439 | − | 0.428717i | \(-0.858966\pi\) |
0.822999 | + | 0.568043i | \(0.192299\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 404331. | + | 700322.i | 0.0895788 | + | 0.155155i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.07998e6 | −1.11329 | −0.556647 | − | 0.830749i | \(-0.687912\pi\) | ||||
−0.556647 | + | 0.830749i | \(0.687912\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.40607e6 | 0.738416 | 0.369208 | − | 0.929347i | \(-0.379629\pi\) | ||||
0.369208 | + | 0.929347i | \(0.379629\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.58239e6 | − | 6.20489e6i | −0.768318 | − | 1.33077i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 921342. | − | 1.59581e6i | 0.195492 | − | 0.338602i | −0.751570 | − | 0.659654i | \(-0.770703\pi\) |
0.947062 | + | 0.321052i | \(0.104036\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −63488.3 | + | 109965.i | −0.0131869 | + | 0.0228403i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.21682e6 | + | 5.57170e6i | 0.661110 | + | 1.14508i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.75595e6 | 0.357091 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.58276e6 | −0.318507 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 4.55714e6 | + | 7.89319e6i | 0.907514 | + | 1.57186i | 0.817507 | + | 0.575919i | \(0.195356\pi\) |
0.0900071 | + | 0.995941i | \(0.471311\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.99346e6 | − | 3.45277e6i | 0.392866 | − | 0.680464i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.40596e6 | − | 7.63134e6i | 0.850523 | − | 1.47315i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.19220e6 | − | 3.79701e6i | −0.418850 | − | 0.725469i | 0.576974 | − | 0.816762i | \(-0.304233\pi\) |
−0.995824 | + | 0.0912933i | \(0.970900\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.88939e6 | 1.11378 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.50592e6 | −1.77947 | −0.889735 | − | 0.456478i | \(-0.849111\pi\) | ||||
−0.889735 | + | 0.456478i | \(0.849111\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.80712e6 | − | 3.13002e6i | −0.334864 | − | 0.580002i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.20332e6 | − | 3.81627e6i | 0.404171 | − | 0.700044i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.68783e6 | + | 2.92341e6i | −0.303444 | + | 0.525580i | −0.976914 | − | 0.213635i | \(-0.931470\pi\) |
0.673470 | + | 0.739215i | \(0.264803\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 823255. | + | 1.42592e6i | 0.146535 | + | 0.253805i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.82645e6 | −1.37926 | −0.689628 | − | 0.724164i | \(-0.742226\pi\) | ||||
−0.689628 | + | 0.724164i | \(0.742226\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.29099e6 | 0.923227 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −1.34563e6 | − | 2.33070e6i | −0.232491 | − | 0.402687i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.71219e6 | + | 6.42969e6i | −0.635090 | + | 1.10001i | 0.351406 | + | 0.936223i | \(0.385704\pi\) |
−0.986496 | + | 0.163785i | \(0.947630\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −208875. | + | 361783.i | −0.0350424 | + | 0.0606952i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.58795e6 | + | 7.94656e6i | 0.762256 | + | 1.32027i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.92461e6 | −1.46846 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.62807e6 | 0.428272 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −530710. | − | 919217.i | −0.0856570 | − | 0.148362i | 0.820014 | − | 0.572344i | \(-0.193966\pi\) |
−0.905671 | + | 0.423981i | \(0.860632\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −956760. | + | 1.65716e6i | −0.152950 | + | 0.264917i | −0.932311 | − | 0.361659i | \(-0.882211\pi\) |
0.779361 | + | 0.626575i | \(0.215544\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.61243e6 | + | 9.72102e6i | −0.880288 | + | 1.52470i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 49029.1 | + | 84921.0i | 0.00761755 | + | 0.0131940i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.03476e6 | 0.313167 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.07207e7 | −1.63458 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.31912e6 | − | 1.09450e7i | −0.954492 | − | 1.65323i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −876454. | + | 1.51806e6i | −0.131158 | + | 0.227172i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.83140e6 | + | 1.01003e7i | −0.856603 | + | 1.48368i | 0.0185472 | + | 0.999828i | \(0.494096\pi\) |
−0.875150 | + | 0.483852i | \(0.839237\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.15485e6 | − | 2.00026e6i | −0.168084 | − | 0.291130i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −9.38842e6 | −1.35395 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.36659e6 | −0.909785 | −0.454893 | − | 0.890546i | \(-0.650322\pi\) | ||||
−0.454893 | + | 0.890546i | \(0.650322\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.27017e6 | − | 2.20000e6i | −0.179858 | − | 0.311524i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 933548. | − | 1.61695e6i | 0.130996 | − | 0.226891i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.72396e6 | − | 2.98598e6i | 0.237571 | − | 0.411486i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −4.86221e6 | − | 8.42159e6i | −0.664042 | − | 1.15015i | −0.979544 | − | 0.201230i | \(-0.935506\pi\) |
0.315502 | − | 0.948925i | \(-0.397827\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.61719e6 | 1.03102 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.90376e6 | −0.926145 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.15133e6 | + | 5.45826e6i | 0.419008 | + | 0.725744i | 0.995840 | − | 0.0911193i | \(-0.0290445\pi\) |
−0.576832 | + | 0.816863i | \(0.695711\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.36207e6 | + | 7.55532e6i | −0.574872 | + | 0.995708i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −4.08244e6 | + | 7.07099e6i | −0.528614 | + | 0.915586i | 0.470829 | + | 0.882224i | \(0.343955\pi\) |
−0.999443 | + | 0.0333620i | \(0.989379\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.43857e6 | + | 1.11519e7i | 0.826416 | + | 1.43139i | 0.900832 | + | 0.434168i | \(0.142957\pi\) |
−0.0744158 | + | 0.997227i | \(0.523709\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.64554e6 | −0.336611 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.71453e6 | 0.973061 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.70887e6 | + | 9.88805e6i | 0.713856 | + | 1.23643i | 0.963399 | + | 0.268071i | \(0.0863862\pi\) |
−0.249543 | + | 0.968364i | \(0.580280\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 311085. | − | 538816.i | 0.0385641 | − | 0.0667950i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.75622e6 | − | 1.17021e7i | 0.823251 | − | 1.42591i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −2.60865e6 | − | 4.51831e6i | −0.315156 | − | 0.545867i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −2.12781e6 | −0.254882 | −0.127441 | − | 0.991846i | \(-0.540676\pi\) | ||||
−0.127441 | + | 0.991846i | \(0.540676\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.79871e6 | −0.688721 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1.49287e6 | − | 2.58572e6i | −0.175814 | − | 0.304518i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −4.28689e6 | + | 7.42511e6i | −0.500617 | + | 0.867094i | 0.499383 | + | 0.866382i | \(0.333560\pi\) |
−1.00000 | 0.000712836i | \(0.999773\pi\) | ||||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.58493e6 | − | 4.47723e6i | 0.296833 | − | 0.514130i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5.64372e6 | − | 9.77521e6i | −0.642686 | − | 1.11316i | −0.984831 | − | 0.173517i | \(-0.944487\pi\) |
0.342145 | − | 0.939647i | \(-0.388846\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.58260e7 | 1.78725 | 0.893625 | − | 0.448814i | \(-0.148153\pi\) | ||||
0.893625 | + | 0.448814i | \(0.148153\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.53145e6 | 0.507509 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.24753e7 | + | 2.16078e7i | 1.38568 | + | 2.40006i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.87183e6 | − | 8.43826e6i | 0.536686 | − | 0.929568i | −0.462393 | − | 0.886675i | \(-0.653009\pi\) |
0.999080 | − | 0.0428932i | \(-0.0136575\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.28320e6 | + | 9.15077e6i | −0.572525 | + | 0.991642i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.07524e6 | − | 5.32647e6i | −0.330543 | − | 0.572517i | 0.652075 | − | 0.758154i | \(-0.273899\pi\) |
−0.982618 | + | 0.185637i | \(0.940565\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −9.27137e6 | −0.988453 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −3.36084e6 | −0.355414 | −0.177707 | − | 0.984083i | \(-0.556868\pi\) | ||||
−0.177707 | + | 0.984083i | \(0.556868\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.44329e6 | + | 5.96396e6i | 0.361200 | + | 0.625616i | 0.988159 | − | 0.153436i | \(-0.0490339\pi\) |
−0.626959 | + | 0.779052i | \(0.715701\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −917663. | + | 1.58944e6i | −0.0954892 | + | 0.165392i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.97590e6 | − | 8.61850e6i | 0.509532 | − | 0.882535i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.78323e6 | − | 3.08864e6i | −0.181150 | − | 0.313760i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.40175e6 | −0.544387 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.59545e6 | 0.359484 | 0.179742 | − | 0.983714i | \(-0.442474\pi\) | ||||
0.179742 | + | 0.983714i | \(0.442474\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 1.72799e6 | + | 2.99297e6i | 0.171409 | + | 0.296889i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.23980e7 | − | 2.14740e7i | 1.22017 | − | 2.11339i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −830291. | + | 1.43811e6i | −0.0804411 | + | 0.139328i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 9.91433e6 | + | 1.71721e7i | 0.953056 | + | 1.65074i | 0.738756 | + | 0.673973i | \(0.235413\pi\) |
0.214299 | + | 0.976768i | \(0.431253\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 8.10851e6 | 0.773417 | 0.386708 | − | 0.922202i | \(-0.373612\pi\) | ||||
0.386708 | + | 0.922202i | \(0.373612\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 6.58740e6 | 0.623469 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.01373e6 | + | 1.75583e6i | 0.0952053 | + | 0.164900i | 0.909694 | − | 0.415279i | \(-0.136316\pi\) |
−0.814489 | + | 0.580179i | \(0.802983\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.68564e6 | + | 1.50440e7i | −0.809450 | + | 1.40201i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −757133. | + | 1.31139e6i | −0.0694847 | + | 0.120351i | −0.898675 | − | 0.438616i | \(-0.855469\pi\) |
0.829190 | + | 0.558967i | \(0.188802\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.36969e6 | − | 5.83647e6i | −0.306893 | − | 0.531554i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 5.47965e6 | 0.495267 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.22358e6 | −0.289151 | −0.144576 | − | 0.989494i | \(-0.546182\pi\) | ||||
−0.144576 | + | 0.989494i | \(0.546182\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.19538e6 | − | 1.24628e7i | −0.640546 | − | 1.10946i | −0.985311 | − | 0.170769i | \(-0.945375\pi\) |
0.344765 | − | 0.938689i | \(-0.387959\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4.08690e6 | + | 7.07872e6i | −0.361085 | + | 0.625418i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.10141e6 | − | 7.10384e6i | 0.356959 | − | 0.618271i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.56224e6 | − | 2.70589e6i | −0.134953 | − | 0.233746i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.16875e7 | 1.85953 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.33478e6 | 0.624237 | 0.312118 | − | 0.950043i | \(-0.398961\pi\) | ||||
0.312118 | + | 0.950043i | \(0.398961\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.11692e6 | − | 1.93456e6i | −0.0943543 | − | 0.163426i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −1.52642e6 | + | 2.64384e6i | −0.127998 | + | 0.221699i | −0.922901 | − | 0.385038i | \(-0.874188\pi\) |
0.794903 | + | 0.606737i | \(0.207522\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.62577e6 | − | 2.81591e6i | 0.134335 | − | 0.232676i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.98793e6 | − | 1.38355e7i | −0.655213 | − | 1.13486i | −0.981840 | − | 0.189709i | \(-0.939245\pi\) |
0.326627 | − | 0.945153i | \(-0.394088\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.56724e6 | 0.209045 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.77685e6 | 0.547817 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −7.99911e6 | − | 1.38549e7i | −0.641939 | − | 1.11187i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.23267e6 | + | 2.13504e6i | −0.0982087 | + | 0.170103i | −0.910943 | − | 0.412532i | \(-0.864645\pi\) |
0.812735 | + | 0.582634i | \(0.197978\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −8.12638e6 | + | 1.40753e7i | −0.638168 | + | 1.10534i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.26259e6 | + | 1.25792e7i | 0.566252 | + | 0.980777i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 6.42958e6 | 0.497725 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.74893e7 | 1.34424 | 0.672122 | − | 0.740440i | \(-0.265383\pi\) | ||||
0.672122 | + | 0.740440i | \(0.265383\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.39526e6 | − | 2.41666e6i | −0.106480 | − | 0.184428i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4.56895e6 | + | 7.91366e6i | −0.346213 | + | 0.599659i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.09216e7 | − | 1.89167e7i | 0.815961 | − | 1.41329i | −0.0926752 | − | 0.995696i | \(-0.529542\pi\) |
0.908636 | − | 0.417589i | \(-0.137125\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −570236. | − | 987677.i | −0.0423039 | − | 0.0732725i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.54758e7 | −1.87674 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.45415e7 | 3.25837 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.54614e6 | − | 2.67800e6i | −0.112319 | − | 0.194541i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 9.55868e6 | − | 1.65561e7i | 0.689566 | − | 1.19436i | −0.282413 | − | 0.959293i | \(-0.591135\pi\) |
0.971978 | − | 0.235070i | \(-0.0755319\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −343372. | + | 594738.i | −0.0244298 | + | 0.0423136i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.99195e6 | + | 8.64632e6i | 0.352716 | + | 0.610923i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.08900e6 | 0.286933 | 0.143467 | − | 0.989655i | \(-0.454175\pi\) | ||||
0.143467 | + | 0.989655i | \(0.454175\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.16015e6 | − | 8.93764e6i | −0.357165 | − | 0.618628i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.81634e6 | + | 3.14599e6i | −0.124864 | + | 0.216271i | −0.921680 | − | 0.387952i | \(-0.873183\pi\) |
0.796816 | + | 0.604222i | \(0.206516\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.93431e7 | + | 3.35032e7i | −1.31177 | + | 2.27205i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.08978e6 | − | 1.88756e6i | −0.0734056 | − | 0.127142i | 0.826986 | − | 0.562222i | \(-0.190053\pi\) |
−0.900392 | + | 0.435080i | \(0.856720\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.22254e6 | −0.282507 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.21595e7 | 0.808060 | 0.404030 | − | 0.914746i | \(-0.367609\pi\) | ||||
0.404030 | + | 0.914746i | \(0.367609\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.90272e7 | + | 3.29561e7i | 1.25598 | + | 2.17543i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.12373e6 | + | 5.41045e6i | −0.204820 | + | 0.354758i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.16248e7 | + | 2.01347e7i | −0.752115 | + | 1.30270i | 0.194681 | + | 0.980867i | \(0.437633\pi\) |
−0.946796 | + | 0.321835i | \(0.895701\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 883121. | + | 1.52961e6i | 0.0567587 | + | 0.0983090i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.31556e7 | 0.839928 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.49939e7 | −0.950985 | −0.475492 | − | 0.879720i | \(-0.657730\pi\) | ||||
−0.475492 | + | 0.879720i | \(0.657730\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −7.83434e6 | − | 1.35695e7i | −0.493626 | − | 0.854985i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.36596e6 | + | 1.10262e7i | −0.398476 | + | 0.690181i | −0.993538 | − | 0.113499i | \(-0.963794\pi\) |
0.595062 | + | 0.803680i | \(0.297127\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.53438e6 | + | 6.12173e6i | −0.218353 | + | 0.378199i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.02835e7 | + | 1.78115e7i | 0.631177 | + | 1.09323i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.34653e6 | −0.143090 | −0.0715451 | − | 0.997437i | \(-0.522793\pi\) | ||||
−0.0715451 | + | 0.997437i | \(0.522793\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.53820e7 | 0.931915 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1.35931e7 | + | 2.35440e7i | 0.818222 | + | 1.41720i | 0.906991 | + | 0.421150i | \(0.138373\pi\) |
−0.0887694 | + | 0.996052i | \(0.528293\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.55037e7 | − | 2.68532e7i | 0.927217 | − | 1.60599i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.75182e6 | + | 6.49834e6i | −0.221513 | + | 0.383671i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.08842e6 | − | 1.22775e7i | −0.415836 | − | 0.720249i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.37522e6 | −0.138452 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −1.10994e6 | −0.0642874 |