Newspace parameters
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.m (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
Defining polynomial: |
\( x^{16} + 24x^{14} + 192x^{12} + 672x^{10} + 1092x^{8} + 880x^{6} + 352x^{4} + 64x^{2} + 4 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.14 | ||
Root | \(-2.13875i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.59 |
Dual form | 120.2.m.b.59.15 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.30656 | − | 0.541196i | 0.923880 | − | 0.382683i | ||||
\(3\) | −0.541196 | + | 1.64533i | −0.312460 | + | 0.949931i | ||||
\(4\) | 1.41421 | − | 1.41421i | 0.707107 | − | 0.707107i | ||||
\(5\) | −1.25928 | + | 1.84776i | −0.563167 | + | 0.826343i | ||||
\(6\) | 0.183339 | + | 2.44262i | 0.0748477 | + | 0.997195i | ||||
\(7\) | 3.29066 | 1.24375 | 0.621876 | − | 0.783116i | \(-0.286371\pi\) | ||||
0.621876 | + | 0.783116i | \(0.286371\pi\) | |||||||
\(8\) | 1.08239 | − | 2.61313i | 0.382683 | − | 0.923880i | ||||
\(9\) | −2.41421 | − | 1.78089i | −0.804738 | − | 0.593630i | ||||
\(10\) | −0.645329 | + | 3.09573i | −0.204071 | + | 0.978956i | ||||
\(11\) | − | 2.51856i | − | 0.759374i | −0.925115 | − | 0.379687i | \(-0.876032\pi\) | ||
0.925115 | − | 0.379687i | \(-0.123968\pi\) | |||||||
\(12\) | 1.56148 | + | 3.09221i | 0.450760 | + | 0.892645i | ||||
\(13\) | −4.65369 | −1.29070 | −0.645351 | − | 0.763886i | \(-0.723289\pi\) | ||||
−0.645351 | + | 0.763886i | \(0.723289\pi\) | |||||||
\(14\) | 4.29945 | − | 1.78089i | 1.14908 | − | 0.475963i | ||||
\(15\) | −2.35865 | − | 3.07193i | −0.609002 | − | 0.793169i | ||||
\(16\) | − | 4.00000i | − | 1.00000i | ||||||
\(17\) | −3.69552 | −0.896295 | −0.448147 | − | 0.893960i | \(-0.647916\pi\) | ||||
−0.448147 | + | 0.893960i | \(0.647916\pi\) | |||||||
\(18\) | −4.11813 | − | 1.02028i | −0.970653 | − | 0.240483i | ||||
\(19\) | 0.828427 | 0.190054 | 0.0950271 | − | 0.995475i | \(-0.469706\pi\) | ||||
0.0950271 | + | 0.995475i | \(0.469706\pi\) | |||||||
\(20\) | 0.832235 | + | 4.39402i | 0.186093 | + | 0.982532i | ||||
\(21\) | −1.78089 | + | 5.41421i | −0.388622 | + | 1.18148i | ||||
\(22\) | −1.36303 | − | 3.29066i | −0.290600 | − | 0.701571i | ||||
\(23\) | 2.61313i | 0.544874i | 0.962174 | + | 0.272437i | \(0.0878297\pi\) | ||||
−0.962174 | + | 0.272437i | \(0.912170\pi\) | |||||||
\(24\) | 3.71366 | + | 3.19510i | 0.758049 | + | 0.652198i | ||||
\(25\) | −1.82843 | − | 4.65369i | −0.365685 | − | 0.930739i | ||||
\(26\) | −6.08034 | + | 2.51856i | −1.19245 | + | 0.493930i | ||||
\(27\) | 4.23671 | − | 3.00836i | 0.815356 | − | 0.578960i | ||||
\(28\) | 4.65369 | − | 4.65369i | 0.879465 | − | 0.879465i | ||||
\(29\) | 6.08034 | 1.12909 | 0.564546 | − | 0.825402i | \(-0.309051\pi\) | ||||
0.564546 | + | 0.825402i | \(0.309051\pi\) | |||||||
\(30\) | −4.74425 | − | 2.73718i | −0.866177 | − | 0.499738i | ||||
\(31\) | − | 1.17157i | − | 0.210421i | −0.994450 | − | 0.105210i | \(-0.966448\pi\) | ||
0.994450 | − | 0.105210i | \(-0.0335516\pi\) | |||||||
\(32\) | −2.16478 | − | 5.22625i | −0.382683 | − | 0.923880i | ||||
\(33\) | 4.14386 | + | 1.36303i | 0.721353 | + | 0.237274i | ||||
\(34\) | −4.82843 | + | 2.00000i | −0.828068 | + | 0.342997i | ||||
\(35\) | −4.14386 | + | 6.08034i | −0.700440 | + | 1.02777i | ||||
\(36\) | −5.93277 | + | 0.895653i | −0.988796 | + | 0.149276i | ||||
\(37\) | −1.92762 | −0.316899 | −0.158450 | − | 0.987367i | \(-0.550650\pi\) | ||||
−0.158450 | + | 0.987367i | \(0.550650\pi\) | |||||||
\(38\) | 1.08239 | − | 0.448342i | 0.175587 | − | 0.0727306i | ||||
\(39\) | 2.51856 | − | 7.65685i | 0.403292 | − | 1.22608i | ||||
\(40\) | 3.46539 | + | 5.29066i | 0.547927 | + | 0.836526i | ||||
\(41\) | 8.59890i | 1.34292i | 0.741039 | + | 0.671461i | \(0.234333\pi\) | ||||
−0.741039 | + | 0.671461i | \(0.765667\pi\) | |||||||
\(42\) | 0.603305 | + | 8.03782i | 0.0930920 | + | 1.24026i | ||||
\(43\) | 6.01673i | 0.917542i | 0.888554 | + | 0.458771i | \(0.151710\pi\) | ||||
−0.888554 | + | 0.458771i | \(0.848290\pi\) | |||||||
\(44\) | −3.56178 | − | 3.56178i | −0.536959 | − | 0.536959i | ||||
\(45\) | 6.33083 | − | 2.21824i | 0.943744 | − | 0.330676i | ||||
\(46\) | 1.41421 | + | 3.41421i | 0.208514 | + | 0.503398i | ||||
\(47\) | − | 2.61313i | − | 0.381164i | −0.981671 | − | 0.190582i | \(-0.938963\pi\) | ||
0.981671 | − | 0.190582i | \(-0.0610374\pi\) | |||||||
\(48\) | 6.58132 | + | 2.16478i | 0.949931 | + | 0.312460i | ||||
\(49\) | 3.82843 | 0.546918 | ||||||||
\(50\) | −4.90752 | − | 5.09080i | −0.694027 | − | 0.719949i | ||||
\(51\) | 2.00000 | − | 6.08034i | 0.280056 | − | 0.851418i | ||||
\(52\) | −6.58132 | + | 6.58132i | −0.912664 | + | 0.912664i | ||||
\(53\) | 4.59220i | 0.630787i | 0.948961 | + | 0.315394i | \(0.102137\pi\) | ||||
−0.948961 | + | 0.315394i | \(0.897863\pi\) | |||||||
\(54\) | 3.90742 | − | 6.22351i | 0.531732 | − | 0.846912i | ||||
\(55\) | 4.65369 | + | 3.17157i | 0.627504 | + | 0.427655i | ||||
\(56\) | 3.56178 | − | 8.59890i | 0.475963 | − | 1.14908i | ||||
\(57\) | −0.448342 | + | 1.36303i | −0.0593843 | + | 0.180538i | ||||
\(58\) | 7.94435 | − | 3.29066i | 1.04314 | − | 0.432085i | ||||
\(59\) | 2.51856i | 0.327889i | 0.986470 | + | 0.163944i | \(0.0524217\pi\) | ||||
−0.986470 | + | 0.163944i | \(0.947578\pi\) | |||||||
\(60\) | −7.68000 | − | 1.00872i | −0.991484 | − | 0.130226i | ||||
\(61\) | − | 8.48528i | − | 1.08643i | −0.839594 | − | 0.543214i | \(-0.817207\pi\) | ||
0.839594 | − | 0.543214i | \(-0.182793\pi\) | |||||||
\(62\) | −0.634051 | − | 1.53073i | −0.0805245 | − | 0.194403i | ||||
\(63\) | −7.94435 | − | 5.86030i | −1.00089 | − | 0.738329i | ||||
\(64\) | −5.65685 | − | 5.65685i | −0.707107 | − | 0.707107i | ||||
\(65\) | 5.86030 | − | 8.59890i | 0.726881 | − | 1.06656i | ||||
\(66\) | 6.15188 | − | 0.461750i | 0.757244 | − | 0.0568375i | ||||
\(67\) | − | 3.29066i | − | 0.402018i | −0.979589 | − | 0.201009i | \(-0.935578\pi\) | ||
0.979589 | − | 0.201009i | \(-0.0644220\pi\) | |||||||
\(68\) | −5.22625 | + | 5.22625i | −0.633776 | + | 0.633776i | ||||
\(69\) | −4.29945 | − | 1.41421i | −0.517593 | − | 0.170251i | ||||
\(70\) | −2.12356 | + | 10.1870i | −0.253813 | + | 1.21758i | ||||
\(71\) | 7.12356 | 0.845412 | 0.422706 | − | 0.906267i | \(-0.361080\pi\) | ||||
0.422706 | + | 0.906267i | \(0.361080\pi\) | |||||||
\(72\) | −7.26682 | + | 4.38102i | −0.856403 | + | 0.516308i | ||||
\(73\) | 6.58132i | 0.770285i | 0.922857 | + | 0.385142i | \(0.125848\pi\) | ||||
−0.922857 | + | 0.385142i | \(0.874152\pi\) | |||||||
\(74\) | −2.51856 | + | 1.04322i | −0.292777 | + | 0.121272i | ||||
\(75\) | 8.64639 | − | 0.489804i | 0.998399 | − | 0.0565576i | ||||
\(76\) | 1.17157 | − | 1.17157i | 0.134389 | − | 0.134389i | ||||
\(77\) | − | 8.28772i | − | 0.944473i | ||||||
\(78\) | −0.853202 | − | 11.3672i | −0.0966061 | − | 1.28708i | ||||
\(79\) | 16.4853i | 1.85474i | 0.374147 | + | 0.927370i | \(0.377936\pi\) | ||||
−0.374147 | + | 0.927370i | \(0.622064\pi\) | |||||||
\(80\) | 7.39104 | + | 5.03712i | 0.826343 | + | 0.563167i | ||||
\(81\) | 2.65685 | + | 8.59890i | 0.295206 | + | 0.955434i | ||||
\(82\) | 4.65369 | + | 11.2350i | 0.513914 | + | 1.24070i | ||||
\(83\) | 9.37011 | 1.02850 | 0.514252 | − | 0.857639i | \(-0.328070\pi\) | ||||
0.514252 | + | 0.857639i | \(0.328070\pi\) | |||||||
\(84\) | 5.13829 | + | 10.1754i | 0.560634 | + | 1.11023i | ||||
\(85\) | 4.65369 | − | 6.82843i | 0.504764 | − | 0.740647i | ||||
\(86\) | 3.25623 | + | 7.86123i | 0.351128 | + | 0.847699i | ||||
\(87\) | −3.29066 | + | 10.0042i | −0.352796 | + | 1.07256i | ||||
\(88\) | −6.58132 | − | 2.72607i | −0.701571 | − | 0.290600i | ||||
\(89\) | − | 5.03712i | − | 0.533934i | −0.963706 | − | 0.266967i | \(-0.913979\pi\) | ||
0.963706 | − | 0.266967i | \(-0.0860214\pi\) | |||||||
\(90\) | 7.07112 | − | 6.32450i | 0.745362 | − | 0.666660i | ||||
\(91\) | −15.3137 | −1.60531 | ||||||||
\(92\) | 3.69552 | + | 3.69552i | 0.385284 | + | 0.385284i | ||||
\(93\) | 1.92762 | + | 0.634051i | 0.199885 | + | 0.0657480i | ||||
\(94\) | −1.41421 | − | 3.41421i | −0.145865 | − | 0.352149i | ||||
\(95\) | −1.04322 | + | 1.53073i | −0.107032 | + | 0.157050i | ||||
\(96\) | 9.77048 | − | 0.733355i | 0.997195 | − | 0.0748477i | ||||
\(97\) | − | 2.72607i | − | 0.276790i | −0.990377 | − | 0.138395i | \(-0.955806\pi\) | ||
0.990377 | − | 0.138395i | \(-0.0441944\pi\) | |||||||
\(98\) | 5.00208 | − | 2.07193i | 0.505286 | − | 0.209297i | ||||
\(99\) | −4.48528 | + | 6.08034i | −0.450788 | + | 0.611097i | ||||
\(100\) | −9.16710 | − | 3.99553i | −0.916710 | − | 0.399553i | ||||
\(101\) | −13.2039 | −1.31384 | −0.656919 | − | 0.753961i | \(-0.728141\pi\) | ||||
−0.656919 | + | 0.753961i | \(0.728141\pi\) | |||||||
\(102\) | −0.677532 | − | 9.02674i | −0.0670856 | − | 0.893781i | ||||
\(103\) | −6.01673 | −0.592846 | −0.296423 | − | 0.955057i | \(-0.595794\pi\) | ||||
−0.296423 | + | 0.955057i | \(0.595794\pi\) | |||||||
\(104\) | −5.03712 | + | 12.1607i | −0.493930 | + | 1.19245i | ||||
\(105\) | −7.76152 | − | 10.1087i | −0.757447 | − | 0.986505i | ||||
\(106\) | 2.48528 | + | 6.00000i | 0.241392 | + | 0.582772i | ||||
\(107\) | −8.47343 | −0.819157 | −0.409579 | − | 0.912275i | \(-0.634324\pi\) | ||||
−0.409579 | + | 0.912275i | \(0.634324\pi\) | |||||||
\(108\) | 1.73715 | − | 10.2461i | 0.167157 | − | 0.985930i | ||||
\(109\) | 0.485281i | 0.0464815i | 0.999730 | + | 0.0232408i | \(0.00739843\pi\) | ||||
−0.999730 | + | 0.0232408i | \(0.992602\pi\) | |||||||
\(110\) | 7.79679 | + | 1.62530i | 0.743394 | + | 0.154966i | ||||
\(111\) | 1.04322 | − | 3.17157i | 0.0990182 | − | 0.301032i | ||||
\(112\) | − | 13.1626i | − | 1.24375i | ||||||
\(113\) | −8.92177 | −0.839290 | −0.419645 | − | 0.907688i | \(-0.637845\pi\) | ||||
−0.419645 | + | 0.907688i | \(0.637845\pi\) | |||||||
\(114\) | 0.151883 | + | 2.02353i | 0.0142251 | + | 0.189521i | ||||
\(115\) | −4.82843 | − | 3.29066i | −0.450253 | − | 0.306855i | ||||
\(116\) | 8.59890 | − | 8.59890i | 0.798388 | − | 0.798388i | ||||
\(117\) | 11.2350 | + | 8.28772i | 1.03868 | + | 0.766200i | ||||
\(118\) | 1.36303 | + | 3.29066i | 0.125478 | + | 0.302930i | ||||
\(119\) | −12.1607 | −1.11477 | ||||||||
\(120\) | −10.5803 | + | 2.83843i | −0.965847 | + | 0.259112i | ||||
\(121\) | 4.65685 | 0.423350 | ||||||||
\(122\) | −4.59220 | − | 11.0866i | −0.415758 | − | 1.00373i | ||||
\(123\) | −14.1480 | − | 4.65369i | −1.27568 | − | 0.419609i | ||||
\(124\) | −1.65685 | − | 1.65685i | −0.148790 | − | 0.148790i | ||||
\(125\) | 10.9014 | + | 2.48181i | 0.975051 | + | 0.221980i | ||||
\(126\) | −13.5514 | − | 3.35740i | −1.20725 | − | 0.299101i | ||||
\(127\) | −3.29066 | −0.291999 | −0.145999 | − | 0.989285i | \(-0.546640\pi\) | ||||
−0.145999 | + | 0.989285i | \(0.546640\pi\) | |||||||
\(128\) | −10.4525 | − | 4.32957i | −0.923880 | − | 0.382683i | ||||
\(129\) | −9.89949 | − | 3.25623i | −0.871602 | − | 0.286695i | ||||
\(130\) | 3.00316 | − | 14.4066i | 0.263395 | − | 1.26354i | ||||
\(131\) | − | 21.8028i | − | 1.90492i | −0.304663 | − | 0.952460i | \(-0.598544\pi\) | ||
0.304663 | − | 0.952460i | \(-0.401456\pi\) | |||||||
\(132\) | 7.78793 | − | 3.93268i | 0.677852 | − | 0.342296i | ||||
\(133\) | 2.72607 | 0.236380 | ||||||||
\(134\) | −1.78089 | − | 4.29945i | −0.153846 | − | 0.371416i | ||||
\(135\) | 0.223521 | + | 11.6168i | 0.0192377 | + | 0.999815i | ||||
\(136\) | −4.00000 | + | 9.65685i | −0.342997 | + | 0.828068i | ||||
\(137\) | 11.9832 | 1.02380 | 0.511899 | − | 0.859046i | \(-0.328942\pi\) | ||||
0.511899 | + | 0.859046i | \(0.328942\pi\) | |||||||
\(138\) | −6.38287 | + | 0.479087i | −0.543346 | + | 0.0407826i | ||||
\(139\) | 14.4853 | 1.22863 | 0.614313 | − | 0.789063i | \(-0.289433\pi\) | ||||
0.614313 | + | 0.789063i | \(0.289433\pi\) | |||||||
\(140\) | 2.73860 | + | 14.4592i | 0.231454 | + | 1.22203i | ||||
\(141\) | 4.29945 | + | 1.41421i | 0.362079 | + | 0.119098i | ||||
\(142\) | 9.30739 | − | 3.85525i | 0.781058 | − | 0.323525i | ||||
\(143\) | 11.7206i | 0.980126i | ||||||||
\(144\) | −7.12356 | + | 9.65685i | −0.593630 | + | 0.804738i | ||||
\(145\) | −7.65685 | + | 11.2350i | −0.635867 | + | 0.933017i | ||||
\(146\) | 3.56178 | + | 8.59890i | 0.294775 | + | 0.711650i | ||||
\(147\) | −2.07193 | + | 6.29902i | −0.170890 | + | 0.519535i | ||||
\(148\) | −2.72607 | + | 2.72607i | −0.224082 | + | 0.224082i | ||||
\(149\) | −14.6792 | −1.20257 | −0.601285 | − | 0.799034i | \(-0.705344\pi\) | ||||
−0.601285 | + | 0.799034i | \(0.705344\pi\) | |||||||
\(150\) | 11.0320 | − | 5.31935i | 0.900757 | − | 0.434323i | ||||
\(151\) | 2.82843i | 0.230174i | 0.993355 | + | 0.115087i | \(0.0367147\pi\) | ||||
−0.993355 | + | 0.115087i | \(0.963285\pi\) | |||||||
\(152\) | 0.896683 | − | 2.16478i | 0.0727306 | − | 0.175587i | ||||
\(153\) | 8.92177 | + | 6.58132i | 0.721282 | + | 0.532068i | ||||
\(154\) | −4.48528 | − | 10.8284i | −0.361434 | − | 0.872580i | ||||
\(155\) | 2.16478 | + | 1.47534i | 0.173880 | + | 0.118502i | ||||
\(156\) | −7.26665 | − | 14.3902i | −0.581797 | − | 1.15214i | ||||
\(157\) | 5.78287 | 0.461523 | 0.230762 | − | 0.973010i | \(-0.425878\pi\) | ||||
0.230762 | + | 0.973010i | \(0.425878\pi\) | |||||||
\(158\) | 8.92177 | + | 21.5391i | 0.709778 | + | 1.71356i | ||||
\(159\) | −7.55568 | − | 2.48528i | −0.599204 | − | 0.197096i | ||||
\(160\) | 12.3829 | + | 2.58132i | 0.978956 | + | 0.204071i | ||||
\(161\) | 8.59890i | 0.677688i | ||||||||
\(162\) | 8.12504 | + | 9.79713i | 0.638363 | + | 0.769735i | ||||
\(163\) | − | 6.01673i | − | 0.471266i | −0.971842 | − | 0.235633i | \(-0.924284\pi\) | ||
0.971842 | − | 0.235633i | \(-0.0757164\pi\) | |||||||
\(164\) | 12.1607 | + | 12.1607i | 0.949590 | + | 0.949590i | ||||
\(165\) | −7.73684 | + | 5.94041i | −0.602312 | + | 0.462460i | ||||
\(166\) | 12.2426 | − | 5.07107i | 0.950213 | − | 0.393591i | ||||
\(167\) | − | 17.3952i | − | 1.34608i | −0.739606 | − | 0.673040i | \(-0.764988\pi\) | ||
0.739606 | − | 0.673040i | \(-0.235012\pi\) | |||||||
\(168\) | 12.2204 | + | 10.5140i | 0.942824 | + | 0.811172i | ||||
\(169\) | 8.65685 | 0.665912 | ||||||||
\(170\) | 2.38482 | − | 11.4403i | 0.182908 | − | 0.877433i | ||||
\(171\) | −2.00000 | − | 1.47534i | −0.152944 | − | 0.112822i | ||||
\(172\) | 8.50894 | + | 8.50894i | 0.648800 | + | 0.648800i | ||||
\(173\) | − | 21.5391i | − | 1.63758i | −0.574090 | − | 0.818792i | \(-0.694644\pi\) | ||
0.574090 | − | 0.818792i | \(-0.305356\pi\) | |||||||
\(174\) | 1.11476 | + | 14.8520i | 0.0845099 | + | 1.12592i | ||||
\(175\) | −6.01673 | − | 15.3137i | −0.454822 | − | 1.15761i | ||||
\(176\) | −10.0742 | −0.759374 | ||||||||
\(177\) | −4.14386 | − | 1.36303i | −0.311472 | − | 0.102452i | ||||
\(178\) | −2.72607 | − | 6.58132i | −0.204328 | − | 0.493290i | ||||
\(179\) | 9.64212i | 0.720686i | 0.932820 | + | 0.360343i | \(0.117340\pi\) | ||||
−0.932820 | + | 0.360343i | \(0.882660\pi\) | |||||||
\(180\) | 5.81607 | − | 12.0902i | 0.433504 | − | 0.901151i | ||||
\(181\) | 10.3431i | 0.768800i | 0.923167 | + | 0.384400i | \(0.125592\pi\) | ||||
−0.923167 | + | 0.384400i | \(0.874408\pi\) | |||||||
\(182\) | −20.0083 | + | 8.28772i | −1.48312 | + | 0.614327i | ||||
\(183\) | 13.9611 | + | 4.59220i | 1.03203 | + | 0.339465i | ||||
\(184\) | 6.82843 | + | 2.82843i | 0.503398 | + | 0.208514i | ||||
\(185\) | 2.42742 | − | 3.56178i | 0.178467 | − | 0.261867i | ||||
\(186\) | 2.86171 | − | 0.214795i | 0.209830 | − | 0.0157495i | ||||
\(187\) | 9.30739i | 0.680623i | ||||||||
\(188\) | −3.69552 | − | 3.69552i | −0.269523 | − | 0.269523i | ||||
\(189\) | 13.9416 | − | 9.89949i | 1.01410 | − | 0.720082i | ||||
\(190\) | −0.534608 | + | 2.56459i | −0.0387845 | + | 0.186055i | ||||
\(191\) | 5.03712 | 0.364473 | 0.182237 | − | 0.983255i | \(-0.441666\pi\) | ||||
0.182237 | + | 0.983255i | \(0.441666\pi\) | |||||||
\(192\) | 12.3689 | − | 6.24592i | 0.892645 | − | 0.450760i | ||||
\(193\) | − | 19.7439i | − | 1.42120i | −0.703596 | − | 0.710600i | \(-0.748424\pi\) | ||
0.703596 | − | 0.710600i | \(-0.251576\pi\) | |||||||
\(194\) | −1.47534 | − | 3.56178i | −0.105923 | − | 0.255721i | ||||
\(195\) | 10.9764 | + | 14.2958i | 0.786040 | + | 1.02374i | ||||
\(196\) | 5.41421 | − | 5.41421i | 0.386730 | − | 0.386730i | ||||
\(197\) | 11.9832i | 0.853770i | 0.904306 | + | 0.426885i | \(0.140389\pi\) | ||||
−0.904306 | + | 0.426885i | \(0.859611\pi\) | |||||||
\(198\) | −2.56964 | + | 10.3718i | −0.182617 | + | 0.737089i | ||||
\(199\) | − | 9.17157i | − | 0.650156i | −0.945687 | − | 0.325078i | \(-0.894610\pi\) | ||
0.945687 | − | 0.325078i | \(-0.105390\pi\) | |||||||
\(200\) | −14.1398 | − | 0.259210i | −0.999832 | − | 0.0183289i | ||||
\(201\) | 5.41421 | + | 1.78089i | 0.381889 | + | 0.125614i | ||||
\(202\) | −17.2517 | + | 7.14590i | −1.21383 | + | 0.502784i | ||||
\(203\) | 20.0083 | 1.40431 | ||||||||
\(204\) | −5.77048 | − | 11.4273i | −0.404014 | − | 0.800073i | ||||
\(205\) | −15.8887 | − | 10.8284i | −1.10971 | − | 0.756290i | ||||
\(206\) | −7.86123 | + | 3.25623i | −0.547718 | + | 0.226872i | ||||
\(207\) | 4.65369 | − | 6.30864i | 0.323454 | − | 0.438481i | ||||
\(208\) | 18.6148i | 1.29070i | ||||||||
\(209\) | − | 2.08644i | − | 0.144322i | ||||||
\(210\) | −15.6117 | − | 9.00711i | −1.07731 | − | 0.621549i | ||||
\(211\) | 18.4853 | 1.27258 | 0.636290 | − | 0.771450i | \(-0.280468\pi\) | ||||
0.636290 | + | 0.771450i | \(0.280468\pi\) | |||||||
\(212\) | 6.49435 | + | 6.49435i | 0.446034 | + | 0.446034i | ||||
\(213\) | −3.85525 | + | 11.7206i | −0.264157 | + | 0.803083i | ||||
\(214\) | −11.0711 | + | 4.58579i | −0.756803 | + | 0.313478i | ||||
\(215\) | −11.1175 | − | 7.57675i | −0.758205 | − | 0.516730i | ||||
\(216\) | −3.27545 | − | 14.3273i | −0.222866 | − | 0.974849i | ||||
\(217\) | − | 3.85525i | − | 0.261711i | ||||||
\(218\) | 0.262632 | + | 0.634051i | 0.0177877 | + | 0.0429433i | ||||
\(219\) | −10.8284 | − | 3.56178i | −0.731717 | − | 0.240683i | ||||
\(220\) | 11.0666 | − | 2.09603i | 0.746110 | − | 0.141315i | ||||
\(221\) | 17.1978 | 1.15685 | ||||||||
\(222\) | −0.353408 | − | 4.70845i | −0.0237192 | − | 0.316010i | ||||
\(223\) | 21.9054 | 1.46690 | 0.733448 | − | 0.679746i | \(-0.237910\pi\) | ||||
0.733448 | + | 0.679746i | \(0.237910\pi\) | |||||||
\(224\) | −7.12356 | − | 17.1978i | −0.475963 | − | 1.14908i | ||||
\(225\) | −3.87351 | + | 14.4912i | −0.258234 | + | 0.966082i | ||||
\(226\) | −11.6569 | + | 4.82843i | −0.775402 | + | 0.321182i | ||||
\(227\) | −4.14386 | −0.275038 | −0.137519 | − | 0.990499i | \(-0.543913\pi\) | ||||
−0.137519 | + | 0.990499i | \(0.543913\pi\) | |||||||
\(228\) | 1.29357 | + | 2.56167i | 0.0856689 | + | 0.169651i | ||||
\(229\) | 19.3137i | 1.27629i | 0.769918 | + | 0.638143i | \(0.220297\pi\) | ||||
−0.769918 | + | 0.638143i | \(0.779703\pi\) | |||||||
\(230\) | −8.08954 | − | 1.68633i | −0.533408 | − | 0.111193i | ||||
\(231\) | 13.6360 | + | 4.48528i | 0.897184 | + | 0.295110i | ||||
\(232\) | 6.58132 | − | 15.8887i | 0.432085 | − | 1.04314i | ||||
\(233\) | −15.9414 | −1.04436 | −0.522178 | − | 0.852837i | \(-0.674880\pi\) | ||||
−0.522178 | + | 0.852837i | \(0.674880\pi\) | |||||||
\(234\) | 19.1645 | + | 4.74808i | 1.25282 | + | 0.310392i | ||||
\(235\) | 4.82843 | + | 3.29066i | 0.314972 | + | 0.214659i | ||||
\(236\) | 3.56178 | + | 3.56178i | 0.231852 | + | 0.231852i | ||||
\(237\) | −27.1237 | − | 8.92177i | −1.76187 | − | 0.579531i | ||||
\(238\) | −15.8887 | + | 6.58132i | −1.02991 | + | 0.426603i | ||||
\(239\) | 22.2349 | 1.43826 | 0.719129 | − | 0.694877i | \(-0.244541\pi\) | ||||
0.719129 | + | 0.694877i | \(0.244541\pi\) | |||||||
\(240\) | −12.2877 | + | 9.43461i | −0.793169 | + | 0.609002i | ||||
\(241\) | −6.48528 | −0.417754 | −0.208877 | − | 0.977942i | \(-0.566981\pi\) | ||||
−0.208877 | + | 0.977942i | \(0.566981\pi\) | |||||||
\(242\) | 6.08447 | − | 2.52027i | 0.391125 | − | 0.162009i | ||||
\(243\) | −15.5859 | − | 0.282294i | −0.999836 | − | 0.0181092i | ||||
\(244\) | −12.0000 | − | 12.0000i | −0.768221 | − | 0.768221i | ||||
\(245\) | −4.82106 | + | 7.07401i | −0.308006 | + | 0.451942i | ||||
\(246\) | −21.0038 | + | 1.57651i | −1.33916 | + | 0.100515i | ||||
\(247\) | −3.85525 | −0.245303 | ||||||||
\(248\) | −3.06147 | − | 1.26810i | −0.194403 | − | 0.0805245i | ||||
\(249\) | −5.07107 | + | 15.4169i | −0.321366 | + | 0.977007i | ||||
\(250\) | 15.5865 | − | 2.65716i | 0.985778 | − | 0.168053i | ||||
\(251\) | 11.7286i | 0.740301i | 0.928972 | + | 0.370150i | \(0.120694\pi\) | ||||
−0.928972 | + | 0.370150i | \(0.879306\pi\) | |||||||
\(252\) | −19.5227 | + | 2.94729i | −1.22982 | + | 0.185662i | ||||
\(253\) | 6.58132 | 0.413764 | ||||||||
\(254\) | −4.29945 | + | 1.78089i | −0.269772 | + | 0.111743i | ||||
\(255\) | 8.71645 | + | 11.3524i | 0.545845 | + | 0.710913i | ||||
\(256\) | −16.0000 | −1.00000 | ||||||||
\(257\) | 16.3128 | 1.01756 | 0.508782 | − | 0.860895i | \(-0.330096\pi\) | ||||
0.508782 | + | 0.860895i | \(0.330096\pi\) | |||||||
\(258\) | −14.6966 | + | 1.10310i | −0.914969 | + | 0.0686760i | ||||
\(259\) | −6.34315 | −0.394144 | ||||||||
\(260\) | −3.87297 | − | 20.4484i | −0.240191 | − | 1.26816i | ||||
\(261\) | −14.6792 | − | 10.8284i | −0.908622 | − | 0.670263i | ||||
\(262\) | −11.7996 | − | 28.4867i | −0.728981 | − | 1.75992i | ||||
\(263\) | − | 22.2500i | − | 1.37200i | −0.727604 | − | 0.685998i | \(-0.759366\pi\) | ||
0.727604 | − | 0.685998i | \(-0.240634\pi\) | |||||||
\(264\) | 8.04706 | − | 9.35309i | 0.495263 | − | 0.575643i | ||||
\(265\) | −8.48528 | − | 5.78287i | −0.521247 | − | 0.355239i | ||||
\(266\) | 3.56178 | − | 1.47534i | 0.218387 | − | 0.0904588i | ||||
\(267\) | 8.28772 | + | 2.72607i | 0.507200 | + | 0.166833i | ||||
\(268\) | −4.65369 | − | 4.65369i | −0.284270 | − | 0.284270i | ||||
\(269\) | 9.64212 | 0.587891 | 0.293945 | − | 0.955822i | \(-0.405032\pi\) | ||||
0.293945 | + | 0.955822i | \(0.405032\pi\) | |||||||
\(270\) | 6.57901 | + | 15.0571i | 0.400386 | + | 0.916347i | ||||
\(271\) | − | 14.1421i | − | 0.859074i | −0.903049 | − | 0.429537i | \(-0.858677\pi\) | ||
0.903049 | − | 0.429537i | \(-0.141323\pi\) | |||||||
\(272\) | 14.7821i | 0.896295i | ||||||||
\(273\) | 8.28772 | − | 25.1961i | 0.501596 | − | 1.52494i | ||||
\(274\) | 15.6569 | − | 6.48528i | 0.945865 | − | 0.391790i | ||||
\(275\) | −11.7206 | + | 4.60500i | −0.706779 | + | 0.277692i | ||||
\(276\) | −8.08034 | + | 4.08034i | −0.486379 | + | 0.245608i | ||||
\(277\) | −15.0903 | −0.906685 | −0.453343 | − | 0.891336i | \(-0.649769\pi\) | ||||
−0.453343 | + | 0.891336i | \(0.649769\pi\) | |||||||
\(278\) | 18.9259 | − | 7.83938i | 1.13510 | − | 0.470175i | ||||
\(279\) | −2.08644 | + | 2.82843i | −0.124912 | + | 0.169334i | ||||
\(280\) | 11.4034 | + | 17.4097i | 0.681485 | + | 1.04043i | ||||
\(281\) | − | 3.56178i | − | 0.212478i | −0.994341 | − | 0.106239i | \(-0.966119\pi\) | ||
0.994341 | − | 0.106239i | \(-0.0338809\pi\) | |||||||
\(282\) | 6.38287 | − | 0.479087i | 0.380094 | − | 0.0285292i | ||||
\(283\) | − | 18.0502i | − | 1.07297i | −0.843909 | − | 0.536486i | \(-0.819751\pi\) | ||
0.843909 | − | 0.536486i | \(-0.180249\pi\) | |||||||
\(284\) | 10.0742 | − | 10.0742i | 0.597796 | − | 0.597796i | ||||
\(285\) | −1.95397 | − | 2.54487i | −0.115743 | − | 0.150745i | ||||
\(286\) | 6.34315 | + | 15.3137i | 0.375078 | + | 0.905519i | ||||
\(287\) | 28.2960i | 1.67026i | ||||||||
\(288\) | −4.08113 | + | 16.4725i | −0.240483 | + | 0.970653i | ||||
\(289\) | −3.34315 | −0.196656 | ||||||||
\(290\) | −3.92382 | + | 18.8231i | −0.230415 | + | 1.10533i | ||||
\(291\) | 4.48528 | + | 1.47534i | 0.262932 | + | 0.0864859i | ||||
\(292\) | 9.30739 | + | 9.30739i | 0.544674 | + | 0.544674i | ||||
\(293\) | 2.42742i | 0.141811i | 0.997483 | + | 0.0709056i | \(0.0225889\pi\) | ||||
−0.997483 | + | 0.0709056i | \(0.977411\pi\) | |||||||
\(294\) | 0.701899 | + | 9.35139i | 0.0409356 | + | 0.545384i | ||||
\(295\) | −4.65369 | − | 3.17157i | −0.270948 | − | 0.184656i | ||||
\(296\) | −2.08644 | + | 5.03712i | −0.121272 | + | 0.292777i | ||||
\(297\) | −7.57675 | − | 10.6704i | −0.439647 | − | 0.619161i | ||||
\(298\) | −19.1794 | + | 7.94435i | −1.11103 | + | 0.460204i | ||||
\(299\) | − | 12.1607i | − | 0.703271i | ||||||
\(300\) | 11.5352 | − | 12.9205i | 0.665983 | − | 0.745967i | ||||
\(301\) | 19.7990i | 1.14119i | ||||||||
\(302\) | 1.53073 | + | 3.69552i | 0.0880838 | + | 0.212653i | ||||
\(303\) | 7.14590 | − | 21.7248i | 0.410521 | − | 1.24806i | ||||
\(304\) | − | 3.31371i | − | 0.190054i | ||||||
\(305\) | 15.6788 | + | 10.6853i | 0.897763 | + | 0.611841i | ||||
\(306\) | 15.2186 | + | 3.77048i | 0.869992 | + | 0.215544i | ||||
\(307\) | 7.14590i | 0.407838i | 0.978988 | + | 0.203919i | \(0.0653680\pi\) | ||||
−0.978988 | + | 0.203919i | \(0.934632\pi\) | |||||||
\(308\) | −11.7206 | − | 11.7206i | −0.667843 | − | 0.667843i | ||||
\(309\) | 3.25623 | − | 9.89949i | 0.185240 | − | 0.563163i | ||||
\(310\) | 3.62687 | + | 0.756050i | 0.205993 | + | 0.0429407i | ||||
\(311\) | −34.3956 | −1.95040 | −0.975198 | − | 0.221334i | \(-0.928959\pi\) | ||||
−0.975198 | + | 0.221334i | \(0.928959\pi\) | |||||||
\(312\) | −17.2823 | − | 14.8690i | −0.978415 | − | 0.841793i | ||||
\(313\) | 17.0179i | 0.961907i | 0.876746 | + | 0.480954i | \(0.159709\pi\) | ||||
−0.876746 | + | 0.480954i | \(0.840291\pi\) | |||||||
\(314\) | 7.55568 | − | 3.12967i | 0.426392 | − | 0.176617i | ||||
\(315\) | 20.8326 | − | 7.29948i | 1.17378 | − | 0.411279i | ||||
\(316\) | 23.3137 | + | 23.3137i | 1.31150 | + | 1.31150i | ||||
\(317\) | 13.2513i | 0.744269i | 0.928179 | + | 0.372135i | \(0.121374\pi\) | ||||
−0.928179 | + | 0.372135i | \(0.878626\pi\) | |||||||
\(318\) | −11.2170 | + | 0.841928i | −0.629018 | + | 0.0472130i | ||||
\(319\) | − | 15.3137i | − | 0.857403i | ||||||
\(320\) | 17.5761 | − | 3.32894i | 0.982532 | − | 0.186093i | ||||
\(321\) | 4.58579 | − | 13.9416i | 0.255954 | − | 0.778143i | ||||
\(322\) | 4.65369 | + | 11.2350i | 0.259340 | + | 0.626102i | ||||
\(323\) | −3.06147 | −0.170345 | ||||||||
\(324\) | 15.9180 | + | 8.40333i | 0.884336 | + | 0.466851i | ||||
\(325\) | 8.50894 | + | 21.6569i | 0.471991 | + | 1.20131i | ||||
\(326\) | −3.25623 | − | 7.86123i | −0.180346 | − | 0.435393i | ||||
\(327\) | −0.798447 | − | 0.262632i | −0.0441542 | − | 0.0145236i | ||||
\(328\) | 22.4700 | + | 9.30739i | 1.24070 | + | 0.513914i | ||||
\(329\) | − | 8.59890i | − | 0.474073i | ||||||
\(330\) | −6.89374 | + | 11.9487i | −0.379488 | + | 0.657753i | ||||
\(331\) | −18.4853 | −1.01604 | −0.508021 | − | 0.861344i | \(-0.669623\pi\) | ||||
−0.508021 | + | 0.861344i | \(0.669623\pi\) | |||||||
\(332\) | 13.2513 | − | 13.2513i | 0.727262 | − | 0.727262i | ||||
\(333\) | 4.65369 | + | 3.43289i | 0.255021 | + | 0.188121i | ||||
\(334\) | −9.41421 | − | 22.7279i | −0.515123 | − | 1.24362i | ||||
\(335\) | 6.08034 | + | 4.14386i | 0.332205 | + | 0.226403i | ||||
\(336\) | 21.6569 | + | 7.12356i | 1.18148 | + | 0.388622i | ||||
\(337\) | 27.9222i | 1.52102i | 0.649328 | + | 0.760508i | \(0.275050\pi\) | ||||
−0.649328 | + | 0.760508i | \(0.724950\pi\) | |||||||
\(338\) | 11.3107 | − | 4.68506i | 0.615222 | − | 0.254833i | ||||
\(339\) | 4.82843 | − | 14.6792i | 0.262244 | − | 0.797267i | ||||
\(340\) | −3.07554 | − | 16.2382i | −0.166795 | − | 0.880638i | ||||
\(341\) | −2.95068 | −0.159788 | ||||||||
\(342\) | −3.41157 | − | 0.845230i | −0.184477 | − | 0.0457048i | ||||
\(343\) | −10.4366 | −0.563521 | ||||||||
\(344\) | 15.7225 | + | 6.51246i | 0.847699 | + | 0.351128i | ||||
\(345\) | 8.02734 | − | 6.16346i | 0.432177 | − | 0.331829i | ||||
\(346\) | −11.6569 | − | 28.1421i | −0.626676 | − | 1.51293i | ||||
\(347\) | 0.185709 | 0.00996939 | 0.00498469 | − | 0.999988i | \(-0.498413\pi\) | ||||
0.00498469 | + | 0.999988i | \(0.498413\pi\) | |||||||
\(348\) | 9.49433 | + | 18.8017i | 0.508949 | + | 1.00788i | ||||
\(349\) | 2.34315i | 0.125426i | 0.998032 | + | 0.0627129i | \(0.0199752\pi\) | ||||
−0.998032 | + | 0.0627129i | \(0.980025\pi\) | |||||||
\(350\) | −16.1490 | − | 16.7521i | −0.863198 | − | 0.895437i | ||||
\(351\) | −19.7164 | + | 14.0000i | −1.05238 | + | 0.747265i | ||||
\(352\) | −13.1626 | + | 5.45214i | −0.701571 | + | 0.290600i | ||||
\(353\) | −32.3630 | −1.72251 | −0.861254 | − | 0.508175i | \(-0.830320\pi\) | ||||
−0.861254 | + | 0.508175i | \(0.830320\pi\) | |||||||
\(354\) | −6.15188 | + | 0.461750i | −0.326969 | + | 0.0245417i | ||||
\(355\) | −8.97056 | + | 13.1626i | −0.476108 | + | 0.698600i | ||||
\(356\) | −7.12356 | − | 7.12356i | −0.377548 | − | 0.377548i | ||||
\(357\) | 6.58132 | − | 20.0083i | 0.348320 | − | 1.05895i | ||||
\(358\) | 5.21828 | + | 12.5980i | 0.275795 | + | 0.665827i | ||||
\(359\) | 9.21001 | 0.486086 | 0.243043 | − | 0.970016i | \(-0.421854\pi\) | ||||
0.243043 | + | 0.970016i | \(0.421854\pi\) | |||||||
\(360\) | 1.05589 | − | 18.9443i | 0.0556502 | − | 0.998450i | ||||
\(361\) | −18.3137 | −0.963879 | ||||||||
\(362\) | 5.59767 | + | 13.5140i | 0.294207 | + | 0.710279i | ||||
\(363\) | −2.52027 | + | 7.66206i | −0.132280 | + | 0.402154i | ||||
\(364\) | −21.6569 | + | 21.6569i | −1.13513 | + | 1.13513i | ||||
\(365\) | −12.1607 | − | 8.28772i | −0.636519 | − | 0.433799i | ||||
\(366\) | 20.7263 | − | 1.55568i | 1.08338 | − | 0.0813167i | ||||
\(367\) | −2.16148 | −0.112828 | −0.0564142 | − | 0.998407i | \(-0.517967\pi\) | ||||
−0.0564142 | + | 0.998407i | \(0.517967\pi\) | |||||||
\(368\) | 10.4525 | 0.544874 | ||||||||
\(369\) | 15.3137 | − | 20.7596i | 0.797200 | − | 1.08070i | ||||
\(370\) | 1.24395 | − | 5.96740i | 0.0646699 | − | 0.310230i | ||||
\(371\) | 15.1114i | 0.784543i | ||||||||
\(372\) | 3.62275 | − | 1.82939i | 0.187831 | − | 0.0948493i | ||||
\(373\) | 24.3976 | 1.26326 | 0.631631 | − | 0.775269i | \(-0.282386\pi\) | ||||
0.631631 | + | 0.775269i | \(0.282386\pi\) | |||||||
\(374\) | 5.03712 | + | 12.1607i | 0.260463 | + | 0.628814i | ||||
\(375\) | −9.98319 | + | 16.5932i | −0.515530 | + | 0.856872i | ||||
\(376\) | −6.82843 | − | 2.82843i | −0.352149 | − | 0.145865i | ||||
\(377\) | −28.2960 | −1.45732 | ||||||||
\(378\) | 12.8580 | − | 20.4794i | 0.661343 | − | 1.05335i | ||||
\(379\) | 20.8284 | 1.06988 | 0.534942 | − | 0.844889i | \(-0.320333\pi\) | ||||
0.534942 | + | 0.844889i | \(0.320333\pi\) | |||||||
\(380\) | 0.689446 | + | 3.64012i | 0.0353678 | + | 0.186734i | ||||
\(381\) | 1.78089 | − | 5.41421i | 0.0912378 | − | 0.277379i | ||||
\(382\) | 6.58132 | − | 2.72607i | 0.336729 | − | 0.139478i | ||||
\(383\) | 29.1158i | 1.48775i | 0.668320 | + | 0.743874i | \(0.267014\pi\) | ||||
−0.668320 | + | 0.743874i | \(0.732986\pi\) | |||||||
\(384\) | 12.7804 | − | 14.8547i | 0.652198 | − | 0.758049i | ||||
\(385\) | 15.3137 | + | 10.4366i | 0.780459 | + | 0.531896i | ||||
\(386\) | −10.6853 | − | 25.7967i | −0.543870 | − | 1.31302i | ||||
\(387\) | 10.7151 | − | 14.5257i | 0.544681 | − | 0.738381i | ||||
\(388\) | −3.85525 | − | 3.85525i | −0.195720 | − | 0.195720i | ||||
\(389\) | 7.55568 | 0.383088 | 0.191544 | − | 0.981484i | \(-0.438650\pi\) | ||||
0.191544 | + | 0.981484i | \(0.438650\pi\) | |||||||
\(390\) | 22.0783 | + | 12.7380i | 1.11798 | + | 0.645012i | ||||
\(391\) | − | 9.65685i | − | 0.488368i | ||||||
\(392\) | 4.14386 | − | 10.0042i | 0.209297 | − | 0.505286i | ||||
\(393\) | 35.8728 | + | 11.7996i | 1.80954 | + | 0.595211i | ||||
\(394\) | 6.48528 | + | 15.6569i | 0.326724 | + | 0.788781i | ||||
\(395\) | −30.4608 | − | 20.7596i | −1.53265 | − | 1.04453i | ||||
\(396\) | 2.25576 | + | 14.9420i | 0.113356 | + | 0.750866i | ||||
\(397\) | 27.1237 | 1.36130 | 0.680650 | − | 0.732609i | \(-0.261697\pi\) | ||||
0.680650 | + | 0.732609i | \(0.261697\pi\) | |||||||
\(398\) | −4.96362 | − | 11.9832i | −0.248804 | − | 0.600665i | ||||
\(399\) | −1.47534 | + | 4.48528i | −0.0738593 | + | 0.224545i | ||||
\(400\) | −18.6148 | + | 7.31371i | −0.930739 | + | 0.365685i | ||||
\(401\) | − | 15.1114i | − | 0.754625i | −0.926086 | − | 0.377313i | \(-0.876848\pi\) | ||
0.926086 | − | 0.377313i | \(-0.123152\pi\) | |||||||
\(402\) | 8.03782 | − | 0.603305i | 0.400890 | − | 0.0300901i | ||||
\(403\) | 5.45214i | 0.271590i | ||||||||
\(404\) | −18.6731 | + | 18.6731i | −0.929024 | + | 0.929024i | ||||
\(405\) | −19.2344 | − | 5.91920i | −0.955766 | − | 0.294127i | ||||
\(406\) | 26.1421 | − | 10.8284i | 1.29741 | − | 0.537406i | ||||
\(407\) | 4.85483i | 0.240645i | ||||||||
\(408\) | −13.7239 | − | 11.8076i | −0.679435 | − | 0.584562i | ||||
\(409\) | −12.8284 | −0.634325 | −0.317162 | − | 0.948371i | \(-0.602730\pi\) | ||||
−0.317162 | + | 0.948371i | \(0.602730\pi\) | |||||||
\(410\) | −26.6199 | − | 5.54912i | −1.31466 | − | 0.274051i | ||||
\(411\) | −6.48528 | + | 19.7164i | −0.319895 | + | 0.972537i | ||||
\(412\) | −8.50894 | + | 8.50894i | −0.419205 | + | 0.419205i | ||||
\(413\) | 8.28772i | 0.407812i | ||||||||
\(414\) | 2.66613 | − | 10.7612i | 0.131033 | − | 0.528884i | ||||
\(415\) | −11.7996 | + | 17.3137i | −0.579219 | + | 0.849897i | ||||
\(416\) | 10.0742 | + | 24.3214i | 0.493930 | + | 1.19245i | ||||
\(417\) | −7.83938 | + | 23.8331i | −0.383896 | + | 1.16711i | ||||
\(418\) | −1.12918 | − | 2.72607i | −0.0552298 | − | 0.133336i | ||||
\(419\) | − | 2.51856i | − | 0.123040i | −0.998106 | − | 0.0615199i | \(-0.980405\pi\) | ||
0.998106 | − | 0.0615199i | \(-0.0195948\pi\) | |||||||
\(420\) | −25.2723 | − | 3.31937i | −1.23316 | − | 0.161969i | ||||
\(421\) | − | 34.8284i | − | 1.69743i | −0.528848 | − | 0.848717i | \(-0.677376\pi\) | ||
0.528848 | − | 0.848717i | \(-0.322624\pi\) | |||||||
\(422\) | 24.1522 | − | 10.0042i | 1.17571 | − | 0.486995i | ||||
\(423\) | −4.65369 | + | 6.30864i | −0.226270 | + | 0.306737i | ||||
\(424\) | 12.0000 | + | 4.97056i | 0.582772 | + | 0.241392i | ||||
\(425\) | 6.75699 | + | 17.1978i | 0.327762 | + | 0.834216i | ||||
\(426\) | 1.30603 | + | 17.4002i | 0.0632771 | + | 0.843040i | ||||
\(427\) | − | 27.9222i | − | 1.35125i | ||||||
\(428\) | −11.9832 | + | 11.9832i | −0.579232 | + | 0.579232i | ||||
\(429\) | −19.2842 | − | 6.34315i | −0.931052 | − | 0.306250i | ||||
\(430\) | −18.6262 | − | 3.88277i | −0.898234 | − | 0.187244i | ||||
\(431\) | 27.2720 | 1.31365 | 0.656824 | − | 0.754044i | \(-0.271899\pi\) | ||||
0.656824 | + | 0.754044i | \(0.271899\pi\) | |||||||
\(432\) | −12.0335 | − | 16.9469i | −0.578960 | − | 0.815356i | ||||
\(433\) | − | 23.5992i | − | 1.13410i | −0.823682 | − | 0.567052i | \(-0.808084\pi\) | ||
0.823682 | − | 0.567052i | \(-0.191916\pi\) | |||||||
\(434\) | −2.08644 | − | 5.03712i | −0.100152 | − | 0.241790i | ||||
\(435\) | −14.3414 | − | 18.6784i | −0.687619 | − | 0.895560i | ||||
\(436\) | 0.686292 | + | 0.686292i | 0.0328674 | + | 0.0328674i | ||||
\(437\) | 2.16478i | 0.103556i | ||||||||
\(438\) | −16.0756 | + | 1.20661i | −0.768124 | + | 0.0576541i | ||||
\(439\) | 28.4853i | 1.35953i | 0.733431 | + | 0.679764i | \(0.237918\pi\) | ||||
−0.733431 | + | 0.679764i | \(0.762082\pi\) | |||||||
\(440\) | 13.3248 | − | 8.72780i | 0.635237 | − | 0.416081i | ||||
\(441\) | −9.24264 | − | 6.81801i | −0.440126 | − | 0.324667i | ||||
\(442\) | 22.4700 | − | 9.30739i | 1.06879 | − | 0.442707i | ||||
\(443\) | 1.60766 | 0.0763821 | 0.0381910 | − | 0.999270i | \(-0.487840\pi\) | ||||
0.0381910 | + | 0.999270i | \(0.487840\pi\) | |||||||
\(444\) | −3.00994 | − | 5.96062i | −0.142846 | − | 0.282878i | ||||
\(445\) | 9.30739 | + | 6.34315i | 0.441212 | + | 0.300694i | ||||
\(446\) | 28.6208 | − | 11.8551i | 1.35524 | − | 0.561357i | ||||
\(447\) | 7.94435 | − | 24.1522i | 0.375755 | − | 1.14236i | ||||
\(448\) | −18.6148 | − | 18.6148i | −0.879465 | − | 0.879465i | ||||
\(449\) | 35.0067i | 1.65207i | 0.563620 | + | 0.826035i | \(0.309408\pi\) | ||||
−0.563620 | + | 0.826035i | \(0.690592\pi\) | |||||||
\(450\) | 2.78162 | + | 21.0300i | 0.131127 | + | 0.991366i | ||||
\(451\) | 21.6569 | 1.01978 | ||||||||
\(452\) | −12.6173 | + | 12.6173i | −0.593467 | + | 0.593467i | ||||
\(453\) | −4.65369 | − | 1.53073i | −0.218650 | − | 0.0719201i | ||||
\(454\) | −5.41421 | + | 2.24264i | −0.254102 | + | 0.105252i | ||||
\(455\) | 19.2842 | − | 28.2960i | 0.904060 | − | 1.32654i | ||||
\(456\) | 3.07650 | + | 2.64691i | 0.144070 | + | 0.123953i | ||||
\(457\) | − | 18.6148i | − | 0.870762i | −0.900246 | − | 0.435381i | \(-0.856614\pi\) | ||
0.900246 | − | 0.435381i | \(-0.143386\pi\) | |||||||
\(458\) | 10.4525 | + | 25.2346i | 0.488413 | + | 1.17913i | ||||
\(459\) | −15.6569 | + | 11.1175i | −0.730799 | + | 0.518919i | ||||
\(460\) | −11.4821 | + | 2.17473i | −0.535357 | + | 0.101398i | ||||
\(461\) | −3.99390 | −0.186014 | −0.0930072 | − | 0.995665i | \(-0.529648\pi\) | ||||
−0.0930072 | + | 0.995665i | \(0.529648\pi\) | |||||||
\(462\) | 20.2437 | − | 1.51946i | 0.941824 | − | 0.0706917i | ||||
\(463\) | −25.7607 | −1.19720 | −0.598600 | − | 0.801048i | \(-0.704276\pi\) | ||||
−0.598600 | + | 0.801048i | \(0.704276\pi\) | |||||||
\(464\) | − | 24.3214i | − | 1.12909i | ||||||
\(465\) | −3.59899 | + | 2.76333i | −0.166899 | + | 0.128147i | ||||
\(466\) | −20.8284 | + | 8.62742i | −0.964858 | + | 0.399657i | ||||
\(467\) | 15.8645 | 0.734120 | 0.367060 | − | 0.930197i | \(-0.380364\pi\) | ||||
0.367060 | + | 0.930197i | \(0.380364\pi\) | |||||||
\(468\) | 27.6093 | − | 4.16810i | 1.27624 | − | 0.192670i | ||||
\(469\) | − | 10.8284i | − | 0.500010i | ||||||
\(470\) | 8.08954 | + | 1.68633i | 0.373142 | + | 0.0777844i | ||||
\(471\) | −3.12967 | + | 9.51472i | −0.144207 | + | 0.438415i | ||||
\(472\) | 6.58132 | + | 2.72607i | 0.302930 | + | 0.125478i | ||||
\(473\) | 15.1535 | 0.696758 | ||||||||
\(474\) | −40.2673 | + | 3.02239i | −1.84954 | + | 0.138823i | ||||
\(475\) | −1.51472 | − | 3.85525i | −0.0695001 | − | 0.176891i | ||||
\(476\) | −17.1978 | + | 17.1978i | −0.788260 | + | 0.788260i | ||||
\(477\) | 8.17821 | − | 11.0866i | 0.374455 | − | 0.507618i | ||||
\(478\) | 29.0513 | − | 12.0335i | 1.32878 | − | 0.550397i | ||||
\(479\) | −19.2842 | −0.881120 | −0.440560 | − | 0.897723i | \(-0.645220\pi\) | ||||
−0.440560 | + | 0.897723i | \(0.645220\pi\) | |||||||
\(480\) | −10.9487 | + | 18.9770i | −0.499738 | + | 0.866177i | ||||
\(481\) | 8.97056 | 0.409022 | ||||||||
\(482\) | −8.47343 | + | 3.50981i | −0.385954 | + | 0.159867i | ||||
\(483\) | −14.1480 | − | 4.65369i | −0.643757 | − | 0.211750i | ||||
\(484\) | 6.58579 | − | 6.58579i | 0.299354 | − | 0.299354i | ||||
\(485\) | 5.03712 | + | 3.43289i | 0.228724 | + | 0.155879i | ||||
\(486\) | −20.5167 | + | 8.06619i | −0.930658 | + | 0.365890i | ||||
\(487\) | −8.74280 | −0.396174 | −0.198087 | − | 0.980184i | \(-0.563473\pi\) | ||||
−0.198087 | + | 0.980184i | \(0.563473\pi\) | |||||||
\(488\) | −22.1731 | − | 9.18440i | −1.00373 | − | 0.415758i | ||||
\(489\) | 9.89949 | + | 3.25623i | 0.447671 | + | 0.147252i | ||||
\(490\) | −2.47059 | + | 11.8518i | −0.111610 | + | 0.535409i | ||||
\(491\) | 36.9142i | 1.66591i | 0.553338 | + | 0.832957i | \(0.313354\pi\) | ||||
−0.553338 | + | 0.832957i | \(0.686646\pi\) | |||||||
\(492\) | −26.5896 | + | 13.4270i | −1.19875 | + | 0.605336i | ||||
\(493\) | −22.4700 | −1.01200 | ||||||||
\(494\) | −5.03712 | + | 2.08644i | −0.226631 | + | 0.0938735i | ||||
\(495\) | −5.58678 | − | 15.9446i | −0.251107 | − | 0.716655i | ||||
\(496\) | −4.68629 | −0.210421 | ||||||||
\(497\) | 23.4412 | 1.05148 | ||||||||
\(498\) | 1.71790 | + | 22.8876i | 0.0769811 | + | 1.02562i | ||||
\(499\) | −37.1127 | −1.66139 | −0.830696 | − | 0.556726i | \(-0.812057\pi\) | ||||
−0.830696 | + | 0.556726i | \(0.812057\pi\) | |||||||
\(500\) | 18.9267 | − | 11.9071i | 0.846429 | − | 0.532502i | ||||
\(501\) | 28.6208 | + | 9.41421i | 1.27868 | + | 0.420596i | ||||
\(502\) | 6.34746 | + | 15.3241i | 0.283301 | + | 0.683949i | ||||
\(503\) | 9.63274i | 0.429503i | 0.976669 | + | 0.214751i | \(0.0688941\pi\) | ||||
−0.976669 | + | 0.214751i | \(0.931106\pi\) | |||||||
\(504\) | −23.9126 | + | 14.4164i | −1.06515 | + | 0.642159i | ||||
\(505\) | 16.6274 | − | 24.3976i | 0.739910 | − | 1.08568i | ||||
\(506\) | 8.59890 | − | 3.56178i | 0.382268 | − | 0.158341i | ||||
\(507\) | −4.68506 | + | 14.2434i | −0.208071 | + | 0.632570i | ||||
\(508\) | −4.65369 | + | 4.65369i | −0.206474 | + | 0.206474i | ||||
\(509\) | −13.2039 | −0.585253 | −0.292626 | − | 0.956227i | \(-0.594529\pi\) | ||||
−0.292626 | + | 0.956227i | \(0.594529\pi\) | |||||||
\(510\) | 17.5324 | + | 10.1153i | 0.776350 | + | 0.447912i | ||||
\(511\) | 21.6569i | 0.958043i | ||||||||
\(512\) | −20.9050 | + | 8.65914i | −0.923880 | + | 0.382683i | ||||
\(513\) | 3.50981 | − | 2.49221i | 0.154962 | − | 0.110034i | ||||
\(514\) | 21.3137 | − | 8.82843i | 0.940107 | − | 0.389405i | ||||
\(515\) | 7.57675 | − | 11.1175i | 0.333871 | − | 0.489894i | ||||
\(516\) | −18.6050 | + | 9.39500i | −0.819040 | + | 0.413592i | ||||
\(517\) | −6.58132 | −0.289446 | ||||||||
\(518\) | −8.28772 | + | 3.43289i | −0.364141 | + | 0.150832i | ||||
\(519\) | 35.4388 | + | 11.6569i | 1.55559 | + | 0.511679i | ||||
\(520\) | −16.1269 | − | 24.6211i | −0.707210 | − | 1.07971i | ||||
\(521\) | − | 34.3956i | − | 1.50690i | −0.657506 | − | 0.753450i | \(-0.728388\pi\) | ||
0.657506 | − | 0.753450i | \(-0.271612\pi\) | |||||||
\(522\) | −25.0397 | − | 6.20367i | −1.09596 | − | 0.271527i | ||||
\(523\) | 12.5980i | 0.550874i | 0.961319 | + | 0.275437i | \(0.0888225\pi\) | ||||
−0.961319 | + | 0.275437i | \(0.911177\pi\) | |||||||
\(524\) | −30.8338 | − | 30.8338i | −1.34698 | − | 1.34698i | ||||
\(525\) | 28.4523 | − | 1.61178i | 1.24176 | − | 0.0703437i | ||||
\(526\) | −12.0416 | − | 29.0711i | −0.525040 | − | 1.26756i | ||||
\(527\) | 4.32957i | 0.188599i | ||||||||
\(528\) | 5.45214 | − | 16.5754i | 0.237274 | − | 0.721353i | ||||
\(529\) | 16.1716 | 0.703112 | ||||||||
\(530\) | −14.2162 | − | 2.96348i | −0.617513 | − | 0.128725i | ||||
\(531\) | 4.48528 | − | 6.08034i | 0.194645 | − | 0.263864i | ||||
\(532\) | 3.85525 | − | 3.85525i | 0.167146 | − | 0.167146i | ||||
\(533\) | − | 40.0166i | − | 1.73331i | ||||||
\(534\) | 12.3038 | − | 0.923499i | 0.532436 | − | 0.0399637i | ||||
\(535\) | 10.6704 | − | 15.6569i | 0.461322 | − | 0.676905i | ||||
\(536\) | −8.59890 | − | 3.56178i | −0.371416 | − | 0.153846i | ||||
\(537\) | −15.8645 | − | 5.21828i | −0.684602 | − | 0.225185i | ||||
\(538\) | 12.5980 | − | 5.21828i | 0.543140 | − | 0.224976i | ||||
\(539\) | − | 9.64212i | − | 0.415316i | ||||||
\(540\) | 16.7447 | + | 16.1125i | 0.720579 | + | 0.693373i | ||||
\(541\) | − | 16.0000i | − | 0.687894i | −0.938989 | − | 0.343947i | \(-0.888236\pi\) | ||
0.938989 | − | 0.343947i | \(-0.111764\pi\) | |||||||
\(542\) | −7.65367 | − | 18.4776i | −0.328753 | − | 0.793680i | ||||
\(543\) | −17.0179 | − | 5.59767i | −0.730307 | − | 0.240219i | ||||
\(544\) | 8.00000 | + | 19.3137i | 0.342997 | + | 0.828068i | ||||
\(545\) | −0.896683 | − | 0.611105i | −0.0384097 | − | 0.0261769i | ||||
\(546\) | −2.80760 | − | 37.4056i | −0.120154 | − | 1.60081i | ||||
\(547\) | − | 11.0011i | − | 0.470375i | −0.971950 | − | 0.235188i | \(-0.924430\pi\) | ||
0.971950 | − | 0.235188i | \(-0.0755704\pi\) | |||||||
\(548\) | 16.9469 | − | 16.9469i | 0.723934 | − | 0.723934i | ||||
\(549\) | −15.1114 | + | 20.4853i | −0.644937 | + | 0.874291i | ||||
\(550\) | −12.8215 | + | 12.3599i | −0.546711 | + | 0.527027i | ||||
\(551\) | 5.03712 | 0.214589 | ||||||||
\(552\) | −8.34921 | + | 9.70427i | −0.355366 | + | 0.413041i | ||||
\(553\) | 54.2474i | 2.30683i | ||||||||
\(554\) | −19.7164 | + | 8.16679i | −0.837668 | + | 0.346973i | ||||
\(555\) | 4.54659 | + | 5.92152i | 0.192992 | + | 0.251355i | ||||
\(556\) | 20.4853 | − | 20.4853i | 0.868769 | − | 0.868769i | ||||
\(557\) | − | 4.96362i | − | 0.210315i | −0.994456 | − | 0.105158i | \(-0.966465\pi\) | ||
0.994456 | − | 0.105158i | \(-0.0335347\pi\) | |||||||
\(558\) | −1.19534 | + | 4.82469i | −0.0506026 | + | 0.204246i | ||||
\(559\) | − | 28.0000i | − | 1.18427i | ||||||
\(560\) | 24.3214 | + | 16.5754i | 1.02777 | + | 0.700440i | ||||
\(561\) | −15.3137 | − | 5.03712i | −0.646545 | − | 0.212667i | ||||
\(562\) | −1.92762 | − | 4.65369i | −0.0813119 | − | 0.196304i | ||||
\(563\) | 21.9874 | 0.926658 | 0.463329 | − | 0.886186i | \(-0.346655\pi\) | ||||
0.463329 | + | 0.886186i | \(0.346655\pi\) | |||||||
\(564\) | 8.08034 | − | 4.08034i | 0.340244 | − | 0.171813i | ||||
\(565\) | 11.2350 | − | 16.4853i | 0.472660 | − | 0.693541i | ||||
\(566\) | −9.76869 | − | 23.5837i | −0.410609 | − | 0.991297i | ||||
\(567\) | 8.74280 | + | 28.2960i | 0.367163 | + | 1.18832i | ||||
\(568\) | 7.71049 | − | 18.6148i | 0.323525 | − | 0.781058i | ||||
\(569\) | 15.7225i | 0.659120i | 0.944135 | + | 0.329560i | \(0.106900\pi\) | ||||
−0.944135 | + | 0.329560i | \(0.893100\pi\) | |||||||
\(570\) | −3.93026 | − | 2.26755i | −0.164621 | − | 0.0949772i | ||||
\(571\) | 21.1127 | 0.883539 | 0.441769 | − | 0.897129i | \(-0.354351\pi\) | ||||
0.441769 | + | 0.897129i | \(0.354351\pi\) | |||||||
\(572\) | 16.5754 | + | 16.5754i | 0.693054 | + | 0.693054i | ||||
\(573\) | −2.72607 | + | 8.28772i | −0.113883 | + | 0.346224i | ||||
\(574\) | 15.3137 | + | 36.9706i | 0.639182 | + | 1.54312i | ||||
\(575\) | 12.1607 | − | 4.77791i | 0.507136 | − | 0.199253i | ||||
\(576\) | 3.58261 | + | 23.7311i | 0.149276 | + | 0.988796i | ||||
\(577\) | 3.85525i | 0.160496i | 0.996775 | + | 0.0802480i | \(0.0255712\pi\) | ||||
−0.996775 | + | 0.0802480i | \(0.974429\pi\) | |||||||
\(578\) | −4.36803 | + | 1.80930i | −0.181686 | + | 0.0752569i | ||||
\(579\) | 32.4853 | + | 10.6853i | 1.35004 | + | 0.444068i | ||||
\(580\) | 5.06027 | + | 26.7171i | 0.210116 | + | 1.10937i | ||||
\(581\) | 30.8338 | 1.27920 | ||||||||
\(582\) | 6.65875 | − | 0.499794i | 0.276014 | − | 0.0207171i | ||||
\(583\) | 11.5657 | 0.479004 | ||||||||
\(584\) | 17.1978 | + | 7.12356i | 0.711650 | + | 0.294775i | ||||
\(585\) | −29.4617 | + | 10.3230i | −1.21809 | + | 0.426805i | ||||
\(586\) | 1.31371 | + | 3.17157i | 0.0542688 | + | 0.131016i | ||||
\(587\) | −7.20533 | −0.297396 | −0.148698 | − | 0.988883i | \(-0.547508\pi\) | ||||
−0.148698 | + | 0.988883i | \(0.547508\pi\) | |||||||
\(588\) | 5.97801 | + | 11.8383i | 0.246529 | + | 0.488204i | ||||
\(589\) | − | 0.970563i | − | 0.0399913i | ||||||
\(590\) | −7.79679 | − | 1.62530i | −0.320989 | − | 0.0669125i | ||||
\(591\) | −19.7164 | − | 6.48528i | −0.811023 | − | 0.266769i | ||||
\(592\) | 7.71049i | 0.316899i | ||||||||
\(593\) | −1.00547 | −0.0412897 | −0.0206448 | − | 0.999787i | \(-0.506572\pi\) | ||||
−0.0206448 | + | 0.999787i | \(0.506572\pi\) | |||||||
\(594\) | −15.6743 | − | 9.84107i | −0.643124 | − | 0.403784i | ||||
\(595\) | 15.3137 | − | 22.4700i | 0.627801 | − | 0.921181i | ||||
\(596\) | −20.7596 | + | 20.7596i | −0.850346 | + | 0.850346i | ||||
\(597\) | 15.0903 | + | 4.96362i | 0.617603 | + | 0.203147i | ||||
\(598\) | −6.58132 | − | 15.8887i | −0.269130 | − | 0.649737i | ||||
\(599\) | −32.3092 | −1.32012 | −0.660058 | − | 0.751214i | \(-0.729468\pi\) | ||||
−0.660058 | + | 0.751214i | \(0.729468\pi\) | |||||||
\(600\) | 8.07887 | − | 23.1243i | 0.329818 | − | 0.944044i | ||||
\(601\) | 13.5147 | 0.551277 | 0.275638 | − | 0.961261i | \(-0.411111\pi\) | ||||
0.275638 | + | 0.961261i | \(0.411111\pi\) | |||||||
\(602\) | 10.7151 | + | 25.8686i | 0.436716 | + | 1.05433i | ||||
\(603\) | −5.86030 | + | 7.94435i | −0.238650 | + | 0.323519i | ||||
\(604\) | 4.00000 | + | 4.00000i | 0.162758 | + | 0.162758i | ||||
\(605\) | −5.86428 | + | 8.60474i | −0.238417 | + | 0.349833i | ||||
\(606\) | −2.42079 | − | 32.2521i | −0.0983378 | − | 1.31015i | ||||
\(607\) | 4.88755 | 0.198380 | 0.0991898 | − | 0.995069i | \(-0.468375\pi\) | ||||
0.0991898 | + | 0.995069i | \(0.468375\pi\) | |||||||
\(608\) | −1.79337 | − | 4.32957i | −0.0727306 | − | 0.175587i | ||||
\(609\) | −10.8284 | + | 32.9203i | −0.438790 | + | 1.33400i | ||||
\(610\) | 26.2681 | + | 5.47580i | 1.06357 | + | 0.221709i | ||||
\(611\) | 12.1607i | 0.491969i | ||||||||
\(612\) | 21.9247 | − | 3.30990i | 0.886252 | − | 0.133795i | ||||
\(613\) | −23.2685 | −0.939804 | −0.469902 | − | 0.882718i | \(-0.655711\pi\) | ||||
−0.469902 | + | 0.882718i | \(0.655711\pi\) | |||||||
\(614\) | 3.86733 | + | 9.33657i | 0.156073 | + | 0.376793i | ||||
\(615\) | 26.4152 | − | 20.2818i | 1.06516 | − | 0.817842i | ||||
\(616\) | −21.6569 | − | 8.97056i | −0.872580 | − | 0.361434i | ||||
\(617\) | 8.55035 | 0.344224 | 0.172112 | − | 0.985077i | \(-0.444941\pi\) | ||||
0.172112 | + | 0.985077i | \(0.444941\pi\) | |||||||
\(618\) | −1.10310 | − | 14.6966i | −0.0443732 | − | 0.591183i | ||||
\(619\) | −2.48528 | −0.0998919 | −0.0499459 | − | 0.998752i | \(-0.515905\pi\) | ||||
−0.0499459 | + | 0.998752i | \(0.515905\pi\) | |||||||
\(620\) | 5.14791 | − | 0.975024i | 0.206745 | − | 0.0391579i | ||||
\(621\) | 7.86123 | + | 11.0711i | 0.315460 | + | 0.444267i | ||||
\(622\) | −44.9400 | + | 18.6148i | −1.80193 | + | 0.746384i | ||||
\(623\) | − | 16.5754i | − | 0.664081i | ||||||
\(624\) | −30.6274 | − | 10.0742i | −1.22608 | − | 0.403292i | ||||
\(625\) | −18.3137 | + | 17.0179i | −0.732548 | + | 0.680715i | ||||
\(626\) | 9.21001 | + | 22.2349i | 0.368106 | + | 0.888686i | ||||
\(627\) | 3.43289 | + | 1.12918i | 0.137096 | + | 0.0450949i | ||||
\(628\) | 8.17821 | − | 8.17821i | 0.326346 | − | 0.326346i | ||||
\(629\) | 7.12356 | 0.284035 | ||||||||
\(630\) | 23.2686 | − | 20.8117i | 0.927045 | − | 0.829160i | ||||
\(631\) | − | 2.14214i | − | 0.0852771i | −0.999091 | − | 0.0426385i | \(-0.986424\pi\) | ||
0.999091 | − | 0.0426385i | \(-0.0135764\pi\) | |||||||
\(632\) | 43.0781 | + | 17.8435i | 1.71356 | + | 0.709778i | ||||
\(633\) | −10.0042 | + | 30.4144i | −0.397630 | + | 1.20886i | ||||
\(634\) | 7.17157 | + | 17.3137i | 0.284820 | + | 0.687615i | ||||
\(635\) | 4.14386 | − | 6.08034i | 0.164444 | − | 0.241291i | ||||
\(636\) | −14.2001 | + | 7.17063i | −0.563069 | + | 0.284334i | ||||
\(637\) | −17.8163 | −0.705908 | ||||||||
\(638\) | −8.28772 | − | 20.0083i | −0.328114 | − | 0.792137i | ||||
\(639\) | −17.1978 | − | 12.6863i | −0.680335 | − | 0.501862i | ||||
\(640\) | 21.1626 | − | 13.8616i | 0.836526 | − | 0.547927i | ||||
\(641\) | − | 35.0067i | − | 1.38268i | −0.722529 | − | 0.691341i | \(-0.757020\pi\) | ||
0.722529 | − | 0.691341i | \(-0.242980\pi\) | |||||||
\(642\) | −1.55351 | − | 20.6974i | −0.0613121 | − | 0.816859i | ||||
\(643\) | 35.0681i | 1.38295i | 0.722401 | + | 0.691475i | \(0.243039\pi\) | ||||
−0.722401 | + | 0.691475i | \(0.756961\pi\) | |||||||
\(644\) | 12.1607 | + | 12.1607i | 0.479198 | + | 0.479198i | ||||
\(645\) | 18.4830 | − | 14.1914i | 0.727766 | − | 0.558785i | ||||
\(646\) | −4.00000 | + | 1.65685i | −0.157378 | + | 0.0651881i | ||||
\(647\) | − | 28.3730i | − | 1.11546i | −0.830024 | − | 0.557728i | \(-0.811673\pi\) | ||
0.830024 | − | 0.557728i | \(-0.188327\pi\) | |||||||
\(648\) | 25.3458 | + | 2.36469i | 0.995676 | + | 0.0928938i | ||||
\(649\) | 6.34315 | 0.248990 | ||||||||
\(650\) | 22.8381 | + | 23.6910i | 0.895783 | + | 0.929239i | ||||
\(651\) | 6.34315 | + | 2.08644i | 0.248607 | + | 0.0817742i | ||||
\(652\) | −8.50894 | − | 8.50894i | −0.333236 | − | 0.333236i | ||||
\(653\) | 24.2291i | 0.948158i | 0.880482 | + | 0.474079i | \(0.157219\pi\) | ||||
−0.880482 | + | 0.474079i | \(0.842781\pi\) | |||||||
\(654\) | −1.18536 | + | 0.0889709i | −0.0463511 | + | 0.00347904i | ||||
\(655\) | 40.2863 | + | 27.4558i | 1.57412 | + | 1.07279i | ||||
\(656\) | 34.3956 | 1.34292 | ||||||||
\(657\) | 11.7206 | − | 15.8887i | 0.457264 | − | 0.619877i | ||||
\(658\) | −4.65369 | − | 11.2350i | −0.181420 | − | 0.437986i | ||||
\(659\) | − | 14.6792i | − | 0.571822i | −0.958256 | − | 0.285911i | \(-0.907704\pi\) | ||
0.958256 | − | 0.285911i | \(-0.0922962\pi\) | |||||||
\(660\) | −2.54053 | + | 19.3426i | −0.0988902 | + | 0.752908i | ||||
\(661\) | 44.7696i | 1.74133i | 0.491873 | + | 0.870667i | \(0.336312\pi\) | ||||
−0.491873 | + | 0.870667i | \(0.663688\pi\) | |||||||
\(662\) | −24.1522 | + | 10.0042i | −0.938701 | + | 0.388823i | ||||
\(663\) | −9.30739 | + | 28.2960i | −0.361469 | + | 1.09893i | ||||
\(664\) | 10.1421 | − | 24.4853i | 0.393591 | − | 0.950213i | ||||
\(665\) | −3.43289 | + | 5.03712i | −0.133122 | + | 0.195331i | ||||
\(666\) | 7.93821 | + | 1.96672i | 0.307599 | + | 0.0762089i | ||||
\(667\) | 15.8887i | 0.615213i | ||||||||
\(668\) | −24.6005 | − | 24.6005i | −0.951823 | − | 0.951823i | ||||
\(669\) | −11.8551 | + | 36.0416i | −0.458346 | + | 1.39345i | ||||
\(670\) | 10.1870 | + | 2.12356i | 0.393558 | + | 0.0820401i | ||||
\(671\) | −21.3707 | −0.825006 | ||||||||
\(672\) | 32.1513 | − | 2.41322i | 1.24026 | − | 0.0930920i | ||||
\(673\) | − | 47.6661i | − | 1.83739i | −0.394964 | − | 0.918697i | \(-0.629243\pi\) | ||
0.394964 | − | 0.918697i | \(-0.370757\pi\) | |||||||
\(674\) | 15.1114 | + | 36.4821i | 0.582068 | + | 1.40524i | ||||
\(675\) | −21.7465 | − | 14.2158i | −0.837024 | − | 0.547166i | ||||
\(676\) | 12.2426 | − | 12.2426i | 0.470871 | − | 0.470871i | ||||
\(677\) | 1.00547i | 0.0386433i | 0.999813 | + | 0.0193217i | \(0.00615066\pi\) | ||||
−0.999813 | + | 0.0193217i | \(0.993849\pi\) | |||||||
\(678\) | −1.63571 | − | 21.7925i | −0.0628189 | − | 0.836935i | ||||
\(679\) | − | 8.97056i | − | 0.344259i | ||||||
\(680\) | −12.8064 | − | 19.5517i | −0.491104 | − | 0.749774i | ||||
\(681\) | 2.24264 | − | 6.81801i | 0.0859382 | − | 0.261267i | ||||
\(682\) | −3.85525 | + | 1.59689i | −0.147625 | + | 0.0611483i | ||||
\(683\) | 14.9678 | 0.572726 | 0.286363 | − | 0.958121i | \(-0.407554\pi\) | ||||
0.286363 | + | 0.958121i | \(0.407554\pi\) | |||||||
\(684\) | −4.91487 | + | 0.741983i | −0.187925 | + | 0.0283704i | ||||
\(685\) | −15.0903 | + | 22.1421i | −0.576569 | + | 0.846008i | ||||
\(686\) | −13.6360 | + | 5.64823i | −0.520626 | + | 0.215650i | ||||
\(687\) | −31.7774 | − | 10.4525i | −1.21238 | − | 0.398788i | ||||
\(688\) | 24.0669 | 0.917542 | ||||||||
\(689\) | − | 21.3707i | − | 0.814159i | ||||||
\(690\) | 7.15258 | − | 12.3973i | 0.272294 | − | 0.471958i | ||||
\(691\) | −7.17157 | −0.272819 | −0.136410 | − | 0.990653i | \(-0.543556\pi\) | ||||
−0.136410 | + | 0.990653i | \(0.543556\pi\) | |||||||
\(692\) | −30.4608 | − | 30.4608i | −1.15795 | − | 1.15795i | ||||
\(693\) | −14.7595 | + | 20.0083i | −0.560668 | + | 0.760053i | ||||
\(694\) | 0.242641 | − | 0.100505i | 0.00921051 | − | 0.00381512i | ||||
\(695\) | −18.2410 | + | 26.7653i | −0.691922 | + | 1.01527i | ||||
\(696\) | 22.5804 | + | 19.4273i | 0.855906 | + | 0.736391i | ||||
\(697\) | − | 31.7774i | − | 1.20365i | ||||||
\(698\) | 1.26810 | + | 3.06147i | 0.0479983 | + | 0.115878i | ||||
\(699\) | 8.62742 | − | 26.2288i | 0.326319 | − | 0.992065i | ||||
\(700\) | −30.1658 | − | 13.1479i | −1.14016 | − | 0.496945i | ||||
\(701\) | −26.8399 | −1.01373 | −0.506865 | − | 0.862025i | \(-0.669196\pi\) | ||||
−0.506865 | + | 0.862025i | \(0.669196\pi\) | |||||||
\(702\) | −18.1839 | + | 28.9623i | −0.686308 | + | 1.09311i | ||||
\(703\) | −1.59689 | −0.0602280 | ||||||||
\(704\) | −14.2471 | + | 14.2471i | −0.536959 | + | 0.536959i | ||||
\(705\) | −8.02734 | + | 6.16346i | −0.302327 | + | 0.232129i | ||||
\(706\) | −42.2843 | + | 17.5147i | −1.59139 | + | 0.659175i | ||||
\(707\) | −43.4495 | −1.63409 | ||||||||
\(708\) | −7.78793 | + | 3.93268i | −0.292688 | + | 0.147799i | ||||
\(709\) | − | 36.2843i | − | 1.36268i | −0.731965 | − | 0.681342i | \(-0.761397\pi\) | ||
0.731965 | − | 0.681342i | \(-0.238603\pi\) | |||||||
\(710\) | −4.59704 | + | 22.0526i | −0.172524 | + | 0.827621i | ||||
\(711\) | 29.3585 | − | 39.7990i | 1.10103 | − | 1.49258i | ||||
\(712\) | −13.1626 | − | 5.45214i | −0.493290 | − | 0.204328i | ||||
\(713\) | 3.06147 | 0.114653 | ||||||||
\(714\) | −2.22952 | − | 29.7039i | −0.0834379 | − | 1.11164i | ||||
\(715\) | −21.6569 | − | 14.7595i | −0.809920 | − | 0.551975i | ||||
\(716\) | 13.6360 | + | 13.6360i | 0.509602 | + | 0.509602i | ||||
\(717\) | −12.0335 | + | 36.5838i | −0.449398 | + | 1.36625i | ||||
\(718\) | 12.0335 | − | 4.98442i | 0.449085 | − | 0.186017i | ||||
\(719\) | 2.95068 | 0.110042 | 0.0550208 | − | 0.998485i | \(-0.482477\pi\) | ||||
0.0550208 | + | 0.998485i | \(0.482477\pi\) | |||||||
\(720\) | −8.87298 | − | 25.3233i | −0.330676 | − | 0.943744i | ||||
\(721\) | −19.7990 | −0.737353 | ||||||||
\(722\) | −23.9280 | + | 9.91131i | −0.890508 | + | 0.368861i | ||||
\(723\) | 3.50981 | − | 10.6704i | 0.130531 | − | 0.396837i | ||||
\(724\) | 14.6274 | + | 14.6274i | 0.543624 | + | 0.543624i | ||||
\(725\) | −11.1175 | − | 28.2960i | −0.412892 | − | 1.05089i | ||||
\(726\) | 0.853782 | + | 11.3749i | 0.0316868 | + | 0.422163i | ||||
\(727\) | 47.1015 | 1.74690 | 0.873449 | − | 0.486915i | \(-0.161878\pi\) | ||||
0.873449 | + | 0.486915i | \(0.161878\pi\) | |||||||
\(728\) | −16.5754 | + | 40.0166i | −0.614327 | + | 1.48312i | ||||
\(729\) | 8.89949 | − | 25.4912i | 0.329611 | − | 0.944117i | ||||
\(730\) | −20.3740 | − | 4.24711i | −0.754075 | − | 0.157193i | ||||
\(731\) | − | 22.2349i | − | 0.822388i | ||||||
\(732\) | 26.2383 | − | 13.2496i | 0.969795 | − | 0.489719i | ||||
\(733\) | −9.63811 | −0.355992 | −0.177996 | − | 0.984031i | \(-0.556961\pi\) | ||||
−0.177996 | + | 0.984031i | \(0.556961\pi\) | |||||||
\(734\) | −2.82411 | + | 1.16979i | −0.104240 | + | 0.0431776i | ||||
\(735\) | −9.02993 | − | 11.7607i | −0.333074 | − | 0.433798i | ||||
\(736\) | 13.6569 | − | 5.65685i | 0.503398 | − | 0.208514i | ||||
\(737\) | −8.28772 | −0.305282 | ||||||||
\(738\) | 8.77332 | − | 35.4114i | 0.322950 | − | 1.30351i | ||||
\(739\) | −27.1716 | −0.999522 | −0.499761 | − | 0.866163i | \(-0.666579\pi\) | ||||
−0.499761 | + | 0.866163i | \(0.666579\pi\) | |||||||
\(740\) | −1.60423 | − | 8.47001i | −0.0589728 | − | 0.311364i | ||||
\(741\) | 2.08644 | − | 6.34315i | 0.0766474 | − | 0.233021i | ||||
\(742\) | 8.17821 | + | 19.7439i | 0.300232 | + | 0.724823i | ||||
\(743\) | − | 15.2304i | − | 0.558750i | −0.960182 | − | 0.279375i | \(-0.909873\pi\) | ||
0.960182 | − | 0.279375i | \(-0.0901272\pi\) | |||||||
\(744\) | 3.74330 | − | 4.35083i | 0.137236 | − | 0.159509i | ||||
\(745\) | 18.4853 | − | 27.1237i | 0.677248 | − | 0.993736i | ||||
\(746\) | 31.8771 | − | 13.2039i | 1.16710 | − | 0.483429i | ||||
\(747\) | −22.6215 | − | 16.6871i | −0.827676 | − | 0.610551i | ||||
\(748\) | 13.1626 | + | 13.1626i | 0.481273 | + | 0.481273i | ||||
\(749\) | −27.8832 | −1.01883 | ||||||||
\(750\) | −4.06347 | + | 27.0830i | −0.148377 | + | 0.988931i | ||||
\(751\) | 35.1127i | 1.28128i | 0.767841 | + | 0.640640i | \(0.221331\pi\) | ||||
−0.767841 | + | 0.640640i | \(0.778669\pi\) | |||||||
\(752\) | −10.4525 | −0.381164 | ||||||||
\(753\) | −19.2974 | − | 6.34746i | −0.703235 | − | 0.231314i | ||||
\(754\) | −36.9706 | + | 15.3137i | −1.34639 | + | 0.557692i | ||||
\(755\) | −5.22625 | − | 3.56178i | −0.190203 | − | 0.129627i | ||||
\(756\) | 5.71637 | − | 33.7164i | 0.207902 | − | 1.22625i | ||||
\(757\) | −12.8319 | −0.466383 | −0.233192 | − | 0.972431i | \(-0.574917\pi\) | ||||
−0.233192 | + | 0.972431i | \(0.574917\pi\) | |||||||
\(758\) | 27.2137 | − | 11.2723i | 0.988444 | − | 0.409427i | ||||
\(759\) | −3.56178 | + | 10.8284i | −0.129284 | + | 0.393047i | ||||
\(760\) | 2.87082 | + | 4.38292i | 0.104136 | + | 0.158985i | ||||
\(761\) | 17.1978i | 0.623420i | 0.950177 | + | 0.311710i | \(0.100902\pi\) | ||||
−0.950177 | + | 0.311710i | \(0.899098\pi\) | |||||||
\(762\) | −0.603305 | − | 8.03782i | −0.0218554 | − | 0.291180i | ||||
\(763\) | 1.59689i | 0.0578115i | ||||||||
\(764\) | 7.12356 | − | 7.12356i | 0.257722 | − | 0.257722i | ||||
\(765\) | −23.3957 | + | 8.19756i | −0.845873 | + | 0.296383i | ||||
\(766\) | 15.7574 | + | 38.0416i | 0.569337 | + | 1.37450i | ||||
\(767\) | − | 11.7206i | − | 0.423207i | ||||||
\(768\) | 8.65914 | − | 26.3253i | 0.312460 | − | 0.949931i | ||||
\(769\) | −49.5980 | −1.78855 | −0.894274 | − | 0.447519i | \(-0.852308\pi\) | ||||
−0.894274 | + | 0.447519i | \(0.852308\pi\) | |||||||
\(770\) | 25.6566 | + | 5.34830i | 0.924598 | + | 0.192739i | ||||
\(771\) | −8.82843 | + | 26.8399i | −0.317948 | + | 0.966616i | ||||
\(772\) | −27.9222 | − | 27.9222i | −1.00494 | − | 1.00494i | ||||
\(773\) | 18.8490i | 0.677952i | 0.940795 | + | 0.338976i | \(0.110081\pi\) | ||||
−0.940795 | + | 0.338976i | \(0.889919\pi\) | |||||||
\(774\) | 6.13877 | − | 24.7777i | 0.220653 | − |