Newspace parameters
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.j (of order \(22\), degree \(10\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 9.6 | ||
Character | \(\chi\) | \(=\) | 230.9 |
Dual form | 230.2.j.a.179.6 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.281733 | − | 0.959493i | −0.199215 | − | 0.678464i | ||||
\(3\) | 2.36951 | − | 2.05319i | 1.36804 | − | 1.18541i | 0.405554 | − | 0.914071i | \(-0.367078\pi\) |
0.962483 | − | 0.271341i | \(-0.0874670\pi\) | |||||||
\(4\) | −0.841254 | + | 0.540641i | −0.420627 | + | 0.270320i | ||||
\(5\) | 1.30136 | + | 1.81837i | 0.581985 | + | 0.813200i | ||||
\(6\) | −2.63759 | − | 1.69508i | −1.07679 | − | 0.692013i | ||||
\(7\) | −1.55660 | − | 0.710876i | −0.588340 | − | 0.268686i | 0.0989224 | − | 0.995095i | \(-0.468460\pi\) |
−0.687262 | + | 0.726409i | \(0.741188\pi\) | |||||||
\(8\) | 0.755750 | + | 0.654861i | 0.267198 | + | 0.231528i | ||||
\(9\) | 0.972037 | − | 6.76066i | 0.324012 | − | 2.25355i | ||||
\(10\) | 1.37808 | − | 1.76094i | 0.435786 | − | 0.556857i | ||||
\(11\) | −0.297817 | − | 0.0874469i | −0.0897951 | − | 0.0263662i | 0.236526 | − | 0.971625i | \(-0.423991\pi\) |
−0.326321 | + | 0.945259i | \(0.605809\pi\) | |||||||
\(12\) | −0.883320 | + | 3.00831i | −0.254992 | + | 0.868424i | ||||
\(13\) | 2.61029 | − | 1.19208i | 0.723964 | − | 0.330623i | −0.0191239 | − | 0.999817i | \(-0.506088\pi\) |
0.743088 | + | 0.669194i | \(0.233360\pi\) | |||||||
\(14\) | −0.243535 | + | 1.69382i | −0.0650875 | + | 0.452694i | ||||
\(15\) | 6.81705 | + | 1.63671i | 1.76015 | + | 0.422596i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −2.98994 | + | 4.65244i | −0.725168 | + | 1.12838i | 0.261431 | + | 0.965222i | \(0.415805\pi\) |
−0.986599 | + | 0.163161i | \(0.947831\pi\) | |||||||
\(18\) | −6.76066 | + | 0.972037i | −1.59350 | + | 0.229111i | ||||
\(19\) | −3.72280 | + | 2.39250i | −0.854070 | + | 0.548877i | −0.892842 | − | 0.450371i | \(-0.851292\pi\) |
0.0387719 | + | 0.999248i | \(0.487655\pi\) | |||||||
\(20\) | −2.07786 | − | 0.826143i | −0.464623 | − | 0.184731i | ||||
\(21\) | −5.14795 | + | 1.51157i | −1.12337 | + | 0.329853i | ||||
\(22\) | 0.310390i | 0.0661753i | ||||||||
\(23\) | −0.555747 | − | 4.76352i | −0.115881 | − | 0.993263i | ||||
\(24\) | 3.13531 | 0.639993 | ||||||||
\(25\) | −1.61294 | + | 4.73270i | −0.322587 | + | 0.946540i | ||||
\(26\) | −1.87919 | − | 2.16871i | −0.368540 | − | 0.425318i | ||||
\(27\) | −6.49246 | − | 10.1025i | −1.24947 | − | 1.94422i | ||||
\(28\) | 1.69382 | − | 0.243535i | 0.320103 | − | 0.0460238i | ||||
\(29\) | 7.45852 | + | 4.79330i | 1.38501 | + | 0.890093i | 0.999469 | − | 0.0325968i | \(-0.0103777\pi\) |
0.385543 | + | 0.922690i | \(0.374014\pi\) | |||||||
\(30\) | −0.350174 | − | 7.00202i | −0.0639328 | − | 1.27839i | ||||
\(31\) | −5.47258 | + | 6.31570i | −0.982905 | + | 1.13433i | 0.00802676 | + | 0.999968i | \(0.497445\pi\) |
−0.990932 | + | 0.134365i | \(0.957100\pi\) | |||||||
\(32\) | −0.989821 | − | 0.142315i | −0.174977 | − | 0.0251579i | ||||
\(33\) | −0.885225 | + | 0.404269i | −0.154098 | + | 0.0703742i | ||||
\(34\) | 5.30635 | + | 1.55809i | 0.910032 | + | 0.267209i | ||||
\(35\) | −0.733060 | − | 3.75558i | −0.123910 | − | 0.634809i | ||||
\(36\) | 2.83736 | + | 6.21295i | 0.472894 | + | 1.03549i | ||||
\(37\) | 5.64261 | + | 0.811285i | 0.927640 | + | 0.133374i | 0.589543 | − | 0.807737i | \(-0.299308\pi\) |
0.338097 | + | 0.941111i | \(0.390217\pi\) | |||||||
\(38\) | 3.34442 | + | 2.89796i | 0.542537 | + | 0.470111i | ||||
\(39\) | 3.73754 | − | 8.18407i | 0.598485 | − | 1.31050i | ||||
\(40\) | −0.207278 | + | 2.22644i | −0.0327735 | + | 0.352031i | ||||
\(41\) | −0.124980 | − | 0.869253i | −0.0195186 | − | 0.135755i | 0.977732 | − | 0.209857i | \(-0.0672999\pi\) |
−0.997251 | + | 0.0741025i | \(0.976391\pi\) | |||||||
\(42\) | 2.90069 | + | 4.51356i | 0.447586 | + | 0.696458i | ||||
\(43\) | −3.72558 | + | 3.22823i | −0.568146 | + | 0.492301i | −0.890911 | − | 0.454178i | \(-0.849933\pi\) |
0.322765 | + | 0.946479i | \(0.395388\pi\) | |||||||
\(44\) | 0.297817 | − | 0.0874469i | 0.0448975 | − | 0.0131831i | ||||
\(45\) | 13.5584 | − | 7.03052i | 2.02116 | − | 1.04805i | ||||
\(46\) | −4.41399 | + | 1.87528i | −0.650808 | + | 0.276494i | ||||
\(47\) | − | 10.0105i | − | 1.46019i | −0.683347 | − | 0.730094i | \(-0.739476\pi\) | ||
0.683347 | − | 0.730094i | \(-0.260524\pi\) | |||||||
\(48\) | −0.883320 | − | 3.00831i | −0.127496 | − | 0.434212i | ||||
\(49\) | −2.66636 | − | 3.07715i | −0.380909 | − | 0.439592i | ||||
\(50\) | 4.99541 | + | 0.214245i | 0.706457 | + | 0.0302988i | ||||
\(51\) | 2.46766 | + | 17.1630i | 0.345541 | + | 2.40329i | ||||
\(52\) | −1.55143 | + | 2.41407i | −0.215144 | + | 0.334771i | ||||
\(53\) | 3.19855 | + | 1.46073i | 0.439355 | + | 0.200647i | 0.622796 | − | 0.782384i | \(-0.285997\pi\) |
−0.183441 | + | 0.983031i | \(0.558724\pi\) | |||||||
\(54\) | −7.86411 | + | 9.07566i | −1.07017 | + | 1.23504i | ||||
\(55\) | −0.228555 | − | 0.655340i | −0.0308184 | − | 0.0883661i | ||||
\(56\) | −0.710876 | − | 1.55660i | −0.0949948 | − | 0.208010i | ||||
\(57\) | −3.90896 | + | 13.3127i | −0.517754 | + | 1.76331i | ||||
\(58\) | 2.49783 | − | 8.50682i | 0.327981 | − | 1.11700i | ||||
\(59\) | 2.22335 | + | 4.86845i | 0.289455 | + | 0.633819i | 0.997370 | − | 0.0724793i | \(-0.0230911\pi\) |
−0.707915 | + | 0.706298i | \(0.750364\pi\) | |||||||
\(60\) | −6.61973 | + | 2.30869i | −0.854604 | + | 0.298050i | ||||
\(61\) | −3.37456 | + | 3.89445i | −0.432068 | + | 0.498633i | −0.929475 | − | 0.368884i | \(-0.879740\pi\) |
0.497407 | + | 0.867517i | \(0.334285\pi\) | |||||||
\(62\) | 7.60167 | + | 3.47157i | 0.965414 | + | 0.440890i | ||||
\(63\) | −6.31907 | + | 9.83266i | −0.796127 | + | 1.23880i | ||||
\(64\) | 0.142315 | + | 0.989821i | 0.0177894 | + | 0.123728i | ||||
\(65\) | 5.56456 | + | 3.19515i | 0.690199 | + | 0.396309i | ||||
\(66\) | 0.637290 | + | 0.735472i | 0.0784449 | + | 0.0905303i | ||||
\(67\) | 0.478081 | + | 1.62819i | 0.0584069 | + | 0.198916i | 0.983528 | − | 0.180757i | \(-0.0578548\pi\) |
−0.925121 | + | 0.379673i | \(0.876037\pi\) | |||||||
\(68\) | − | 5.53037i | − | 0.670656i | ||||||
\(69\) | −11.0973 | − | 10.1462i | −1.33596 | − | 1.22145i | ||||
\(70\) | −3.39693 | + | 1.76144i | −0.406010 | + | 0.210532i | ||||
\(71\) | 7.87988 | − | 2.31374i | 0.935170 | − | 0.274591i | 0.221570 | − | 0.975144i | \(-0.428882\pi\) |
0.713600 | + | 0.700554i | \(0.247064\pi\) | |||||||
\(72\) | 5.16191 | − | 4.47282i | 0.608337 | − | 0.527127i | ||||
\(73\) | −1.64086 | − | 2.55323i | −0.192048 | − | 0.298833i | 0.731854 | − | 0.681462i | \(-0.238655\pi\) |
−0.923902 | + | 0.382628i | \(0.875019\pi\) | |||||||
\(74\) | −0.811285 | − | 5.64261i | −0.0943100 | − | 0.655940i | ||||
\(75\) | 5.89528 | + | 14.5259i | 0.680728 | + | 1.67730i | ||||
\(76\) | 1.83834 | − | 4.02540i | 0.210872 | − | 0.461745i | ||||
\(77\) | 0.401418 | + | 0.347831i | 0.0457458 | + | 0.0396390i | ||||
\(78\) | −8.90555 | − | 1.28042i | −1.00835 | − | 0.144980i | ||||
\(79\) | −3.42080 | − | 7.49052i | −0.384871 | − | 0.842749i | −0.998583 | − | 0.0532193i | \(-0.983052\pi\) |
0.613712 | − | 0.789530i | \(-0.289675\pi\) | |||||||
\(80\) | 2.19465 | − | 0.428379i | 0.245369 | − | 0.0478942i | ||||
\(81\) | −16.4657 | − | 4.83477i | −1.82953 | − | 0.537197i | ||||
\(82\) | −0.798832 | + | 0.364814i | −0.0882162 | + | 0.0402870i | ||||
\(83\) | 0.701218 | + | 0.100820i | 0.0769687 | + | 0.0110664i | 0.180692 | − | 0.983540i | \(-0.442166\pi\) |
−0.103723 | + | 0.994606i | \(0.533076\pi\) | |||||||
\(84\) | 3.51351 | − | 4.05481i | 0.383356 | − | 0.442416i | ||||
\(85\) | −12.3508 | + | 0.617671i | −1.33964 | + | 0.0669959i | ||||
\(86\) | 4.14709 | + | 2.66517i | 0.447192 | + | 0.287393i | ||||
\(87\) | 27.5146 | − | 3.95600i | 2.94988 | − | 0.424128i | ||||
\(88\) | −0.167809 | − | 0.261116i | −0.0178885 | − | 0.0278351i | ||||
\(89\) | 6.06502 | + | 6.99941i | 0.642891 | + | 0.741936i | 0.979883 | − | 0.199572i | \(-0.0639551\pi\) |
−0.336992 | + | 0.941507i | \(0.609410\pi\) | |||||||
\(90\) | −10.5656 | − | 11.0284i | −1.11371 | − | 1.16250i | ||||
\(91\) | −4.91060 | −0.514771 | ||||||||
\(92\) | 3.04288 | + | 3.70687i | 0.317242 | + | 0.386468i | ||||
\(93\) | 26.2014i | 2.71696i | ||||||||
\(94\) | −9.60505 | + | 2.82030i | −0.990685 | + | 0.290891i | ||||
\(95\) | −9.19515 | − | 3.65593i | −0.943403 | − | 0.375091i | ||||
\(96\) | −2.63759 | + | 1.69508i | −0.269198 | + | 0.173003i | ||||
\(97\) | −17.0747 | + | 2.45497i | −1.73367 | + | 0.249265i | −0.935541 | − | 0.353218i | \(-0.885087\pi\) |
−0.798132 | + | 0.602482i | \(0.794178\pi\) | |||||||
\(98\) | −2.20130 | + | 3.42529i | −0.222365 | + | 0.346006i | ||||
\(99\) | −0.880687 | + | 1.92844i | −0.0885124 | + | 0.193815i | ||||
\(100\) | −1.20180 | − | 4.85342i | −0.120180 | − | 0.485342i | ||||
\(101\) | 1.14824 | − | 7.98619i | 0.114254 | − | 0.794655i | −0.849447 | − | 0.527673i | \(-0.823064\pi\) |
0.963702 | − | 0.266982i | \(-0.0860264\pi\) | |||||||
\(102\) | 15.7725 | − | 7.20306i | 1.56171 | − | 0.713210i | ||||
\(103\) | 3.94676 | − | 13.4414i | 0.388886 | − | 1.32442i | −0.499893 | − | 0.866087i | \(-0.666627\pi\) |
0.888779 | − | 0.458336i | \(-0.151554\pi\) | |||||||
\(104\) | 2.75337 | + | 0.808463i | 0.269990 | + | 0.0792763i | ||||
\(105\) | −9.44792 | − | 7.39377i | −0.922023 | − | 0.721558i | ||||
\(106\) | 0.500424 | − | 3.48052i | 0.0486054 | − | 0.338058i | ||||
\(107\) | −1.03399 | − | 0.895959i | −0.0999598 | − | 0.0866156i | 0.603447 | − | 0.797403i | \(-0.293793\pi\) |
−0.703407 | + | 0.710787i | \(0.748339\pi\) | |||||||
\(108\) | 10.9236 | + | 4.98865i | 1.05112 | + | 0.480033i | ||||
\(109\) | 11.7161 | + | 7.52948i | 1.12220 | + | 0.721193i | 0.963918 | − | 0.266201i | \(-0.0857684\pi\) |
0.158281 | + | 0.987394i | \(0.449405\pi\) | |||||||
\(110\) | −0.564403 | + | 0.403928i | −0.0538137 | + | 0.0385130i | ||||
\(111\) | 15.0360 | − | 9.66302i | 1.42715 | − | 0.917174i | ||||
\(112\) | −1.29327 | + | 1.12063i | −0.122203 | + | 0.105889i | ||||
\(113\) | −5.33157 | − | 18.1577i | −0.501552 | − | 1.70813i | −0.688041 | − | 0.725672i | \(-0.741529\pi\) |
0.186489 | − | 0.982457i | \(-0.440289\pi\) | |||||||
\(114\) | 13.8747 | 1.29949 | ||||||||
\(115\) | 7.93862 | − | 7.20960i | 0.740280 | − | 0.672299i | ||||
\(116\) | −8.86596 | −0.823183 | ||||||||
\(117\) | −5.52195 | − | 18.8060i | −0.510504 | − | 1.73862i | ||||
\(118\) | 4.04486 | − | 3.50489i | 0.372359 | − | 0.322651i | ||||
\(119\) | 7.96146 | − | 5.11652i | 0.729826 | − | 0.469031i | ||||
\(120\) | 4.08016 | + | 5.70116i | 0.372466 | + | 0.520442i | ||||
\(121\) | −9.17274 | − | 5.89496i | −0.833886 | − | 0.535906i | ||||
\(122\) | 4.68742 | + | 2.14067i | 0.424379 | + | 0.193807i | ||||
\(123\) | −2.08089 | − | 1.80310i | −0.187627 | − | 0.162580i | ||||
\(124\) | 1.18931 | − | 8.27181i | 0.106803 | − | 0.742830i | ||||
\(125\) | −10.7048 | + | 3.22602i | −0.957467 | + | 0.288544i | ||||
\(126\) | 11.2147 | + | 3.29292i | 0.999081 | + | 0.293357i | ||||
\(127\) | −3.83108 | + | 13.0474i | −0.339953 | + | 1.15777i | 0.595214 | + | 0.803567i | \(0.297067\pi\) |
−0.935167 | + | 0.354207i | \(0.884751\pi\) | |||||||
\(128\) | 0.909632 | − | 0.415415i | 0.0804009 | − | 0.0367178i | ||||
\(129\) | −2.19962 | + | 15.2987i | −0.193666 | + | 1.34697i | ||||
\(130\) | 1.49800 | − | 6.23933i | 0.131384 | − | 0.547226i | ||||
\(131\) | 5.42795 | − | 11.8856i | 0.474243 | − | 1.03845i | −0.509764 | − | 0.860314i | \(-0.670267\pi\) |
0.984007 | − | 0.178132i | \(-0.0570055\pi\) | |||||||
\(132\) | 0.526135 | − | 0.818681i | 0.0457941 | − | 0.0712571i | ||||
\(133\) | 7.49569 | − | 1.07772i | 0.649959 | − | 0.0934500i | ||||
\(134\) | 1.42755 | − | 0.917431i | 0.123322 | − | 0.0792539i | ||||
\(135\) | 9.92100 | − | 24.9526i | 0.853864 | − | 2.14758i | ||||
\(136\) | −5.30635 | + | 1.55809i | −0.455016 | + | 0.133605i | ||||
\(137\) | − | 4.70220i | − | 0.401736i | −0.979618 | − | 0.200868i | \(-0.935624\pi\) | ||
0.979618 | − | 0.200868i | \(-0.0643763\pi\) | |||||||
\(138\) | −6.60871 | + | 13.5063i | −0.562570 | + | 1.14973i | ||||
\(139\) | −18.1229 | −1.53716 | −0.768581 | − | 0.639752i | \(-0.779037\pi\) | ||||
−0.768581 | + | 0.639752i | \(0.779037\pi\) | |||||||
\(140\) | 2.64711 | + | 2.76307i | 0.223722 | + | 0.233522i | ||||
\(141\) | −20.5536 | − | 23.7201i | −1.73092 | − | 1.99759i | ||||
\(142\) | −4.44004 | − | 6.90883i | −0.372600 | − | 0.579776i | ||||
\(143\) | −0.881631 | + | 0.126759i | −0.0737257 | + | 0.0106002i | ||||
\(144\) | −5.74592 | − | 3.69268i | −0.478826 | − | 0.307723i | ||||
\(145\) | 0.990213 | + | 19.8001i | 0.0822327 | + | 1.64431i | ||||
\(146\) | −1.98752 | + | 2.29372i | −0.164489 | + | 0.189830i | ||||
\(147\) | −12.6360 | − | 1.81678i | −1.04220 | − | 0.149845i | ||||
\(148\) | −5.18548 | + | 2.36813i | −0.426244 | + | 0.194659i | ||||
\(149\) | −6.35080 | − | 1.86476i | −0.520278 | − | 0.152767i | 0.0110414 | − | 0.999939i | \(-0.496485\pi\) |
−0.531319 | + | 0.847172i | \(0.678304\pi\) | |||||||
\(150\) | 12.2766 | − | 9.74888i | 1.00238 | − | 0.795993i | ||||
\(151\) | 6.28751 | + | 13.7677i | 0.511671 | + | 1.12040i | 0.972498 | + | 0.232912i | \(0.0748255\pi\) |
−0.460827 | + | 0.887490i | \(0.652447\pi\) | |||||||
\(152\) | −4.38026 | − | 0.629787i | −0.355286 | − | 0.0510824i | ||||
\(153\) | 28.5473 | + | 24.7364i | 2.30791 | + | 1.99982i | ||||
\(154\) | 0.220648 | − | 0.483153i | 0.0177804 | − | 0.0389336i | ||||
\(155\) | −18.6061 | − | 1.73220i | −1.49448 | − | 0.139133i | ||||
\(156\) | 1.28042 | + | 8.90555i | 0.102516 | + | 0.713014i | ||||
\(157\) | −11.3249 | − | 17.6219i | −0.903828 | − | 1.40638i | −0.913681 | − | 0.406432i | \(-0.866773\pi\) |
0.00985312 | − | 0.999951i | \(-0.496864\pi\) | |||||||
\(158\) | −6.22335 | + | 5.39256i | −0.495103 | + | 0.429009i | ||||
\(159\) | 10.5782 | − | 3.10603i | 0.838903 | − | 0.246324i | ||||
\(160\) | −1.02933 | − | 1.98506i | −0.0813758 | − | 0.156933i | ||||
\(161\) | −2.52120 | + | 7.80997i | −0.198698 | + | 0.615512i | ||||
\(162\) | 17.1609i | 1.34828i | ||||||||
\(163\) | −0.636868 | − | 2.16897i | −0.0498833 | − | 0.169887i | 0.930784 | − | 0.365570i | \(-0.119126\pi\) |
−0.980667 | + | 0.195683i | \(0.937308\pi\) | |||||||
\(164\) | 0.575093 | + | 0.663693i | 0.0449073 | + | 0.0518257i | ||||
\(165\) | −1.88710 | − | 1.08357i | −0.146911 | − | 0.0843557i | ||||
\(166\) | −0.100820 | − | 0.701218i | −0.00782514 | − | 0.0544251i | ||||
\(167\) | −4.53256 | + | 7.05281i | −0.350740 | + | 0.545763i | −0.971136 | − | 0.238526i | \(-0.923336\pi\) |
0.620396 | + | 0.784289i | \(0.286972\pi\) | |||||||
\(168\) | −4.88043 | − | 2.22882i | −0.376533 | − | 0.171957i | ||||
\(169\) | −3.12063 | + | 3.60140i | −0.240049 | + | 0.277031i | ||||
\(170\) | 4.07229 | + | 11.6765i | 0.312330 | + | 0.895549i | ||||
\(171\) | 12.5562 | + | 27.4942i | 0.960196 | + | 2.10254i | ||||
\(172\) | 1.38884 | − | 4.72996i | 0.105898 | − | 0.360656i | ||||
\(173\) | −1.67297 | + | 5.69761i | −0.127193 | + | 0.433181i | −0.998324 | − | 0.0578702i | \(-0.981569\pi\) |
0.871131 | + | 0.491051i | \(0.163387\pi\) | |||||||
\(174\) | −11.5475 | − | 25.2855i | −0.875415 | − | 1.91689i | ||||
\(175\) | 5.87506 | − | 6.22033i | 0.444113 | − | 0.470213i | ||||
\(176\) | −0.203262 | + | 0.234577i | −0.0153214 | + | 0.0176819i | ||||
\(177\) | 15.2641 | + | 6.97089i | 1.14732 | + | 0.523964i | ||||
\(178\) | 5.00717 | − | 7.79131i | 0.375303 | − | 0.583983i | ||||
\(179\) | 0.668701 | + | 4.65092i | 0.0499811 | + | 0.347626i | 0.999432 | + | 0.0337095i | \(0.0107321\pi\) |
−0.949451 | + | 0.313916i | \(0.898359\pi\) | |||||||
\(180\) | −7.60502 | + | 13.2446i | −0.566845 | + | 0.987198i | ||||
\(181\) | 5.20359 | + | 6.00526i | 0.386780 | + | 0.446368i | 0.915433 | − | 0.402470i | \(-0.131848\pi\) |
−0.528653 | + | 0.848838i | \(0.677303\pi\) | |||||||
\(182\) | 1.38348 | + | 4.71169i | 0.102550 | + | 0.349253i | ||||
\(183\) | 16.1566i | 1.19433i | ||||||||
\(184\) | 2.69944 | − | 3.96397i | 0.199005 | − | 0.292228i | ||||
\(185\) | 5.86784 | + | 11.3161i | 0.431412 | + | 0.831978i | ||||
\(186\) | 25.1400 | − | 7.38178i | 1.84336 | − | 0.541259i | ||||
\(187\) | 1.29730 | − | 1.12411i | 0.0948677 | − | 0.0822034i | ||||
\(188\) | 5.41211 | + | 8.42141i | 0.394719 | + | 0.614194i | ||||
\(189\) | 2.92457 | + | 20.3408i | 0.212731 | + | 1.47958i | ||||
\(190\) | −0.917269 | + | 9.85268i | −0.0665457 | + | 0.714788i | ||||
\(191\) | 5.35322 | − | 11.7219i | 0.387345 | − | 0.848167i | −0.611053 | − | 0.791590i | \(-0.709254\pi\) |
0.998398 | − | 0.0565778i | \(-0.0180189\pi\) | |||||||
\(192\) | 2.36951 | + | 2.05319i | 0.171005 | + | 0.148176i | ||||
\(193\) | −8.50934 | − | 1.22346i | −0.612515 | − | 0.0880664i | −0.170926 | − | 0.985284i | \(-0.554676\pi\) |
−0.441589 | + | 0.897217i | \(0.645585\pi\) | |||||||
\(194\) | 7.16603 | + | 15.6914i | 0.514491 | + | 1.12658i | ||||
\(195\) | 19.7455 | − | 3.85418i | 1.41401 | − | 0.276003i | ||||
\(196\) | 3.90672 | + | 1.14712i | 0.279051 | + | 0.0819369i | ||||
\(197\) | −7.48713 | + | 3.41926i | −0.533436 | + | 0.243612i | −0.663874 | − | 0.747844i | \(-0.731089\pi\) |
0.130438 | + | 0.991456i | \(0.458362\pi\) | |||||||
\(198\) | 2.09844 | + | 0.301710i | 0.149130 | + | 0.0214416i | ||||
\(199\) | 4.88897 | − | 5.64217i | 0.346570 | − | 0.399963i | −0.555525 | − | 0.831500i | \(-0.687483\pi\) |
0.902096 | + | 0.431536i | \(0.142028\pi\) | |||||||
\(200\) | −4.31823 | + | 2.52049i | −0.305345 | + | 0.178225i | ||||
\(201\) | 4.47581 | + | 2.87643i | 0.315700 | + | 0.202888i | ||||
\(202\) | −7.98619 | + | 1.14824i | −0.561906 | + | 0.0807899i | ||||
\(203\) | −8.20250 | − | 12.7633i | −0.575702 | − | 0.895810i | ||||
\(204\) | −11.3549 | − | 13.1043i | −0.795003 | − | 0.917483i | ||||
\(205\) | 1.41798 | − | 1.35847i | 0.0990360 | − | 0.0948796i | ||||
\(206\) | −14.0089 | −0.976046 | ||||||||
\(207\) | −32.7448 | − | 0.873097i | −2.27592 | − | 0.0606844i | ||||
\(208\) | − | 2.86961i | − | 0.198972i | ||||||
\(209\) | 1.31793 | − | 0.386979i | 0.0911631 | − | 0.0267679i | ||||
\(210\) | −4.43249 | + | 11.1483i | −0.305871 | + | 0.769305i | ||||
\(211\) | 10.9253 | − | 7.02125i | 0.752128 | − | 0.483363i | −0.107550 | − | 0.994200i | \(-0.534301\pi\) |
0.859678 | + | 0.510837i | \(0.170664\pi\) | |||||||
\(212\) | −3.48052 | + | 0.500424i | −0.239043 | + | 0.0343692i | ||||
\(213\) | 13.9209 | − | 21.6614i | 0.953845 | − | 1.48421i | ||||
\(214\) | −0.568357 | + | 1.24453i | −0.0388521 | + | 0.0850742i | ||||
\(215\) | −10.7184 | − | 2.57339i | −0.730991 | − | 0.175504i | ||||
\(216\) | 1.70903 | − | 11.8866i | 0.116285 | − | 0.808780i | ||||
\(217\) | 13.0083 | − | 5.94070i | 0.883061 | − | 0.403281i | ||||
\(218\) | 3.92368 | − | 13.3628i | 0.265745 | − | 0.905044i | ||||
\(219\) | −9.13032 | − | 2.68090i | −0.616970 | − | 0.181159i | ||||
\(220\) | 0.546577 | + | 0.427741i | 0.0368502 | + | 0.0288383i | ||||
\(221\) | −2.25854 | + | 15.7085i | −0.151926 | + | 1.05667i | ||||
\(222\) | −13.5077 | − | 11.7045i | −0.906579 | − | 0.785555i | ||||
\(223\) | 0.179227 | + | 0.0818505i | 0.0120020 | + | 0.00548111i | 0.421407 | − | 0.906872i | \(-0.361536\pi\) |
−0.409405 | + | 0.912353i | \(0.634264\pi\) | |||||||
\(224\) | 1.43959 | + | 0.925168i | 0.0961866 | + | 0.0618154i | ||||
\(225\) | 30.4284 | + | 15.5049i | 2.02856 | + | 1.03366i | ||||
\(226\) | −15.9201 | + | 10.2312i | −1.05899 | + | 0.680570i | ||||
\(227\) | 5.27296 | − | 4.56905i | 0.349979 | − | 0.303258i | −0.462075 | − | 0.886841i | \(-0.652895\pi\) |
0.812054 | + | 0.583583i | \(0.198350\pi\) | |||||||
\(228\) | −3.90896 | − | 13.3127i | −0.258877 | − | 0.881655i | ||||
\(229\) | 4.36872 | 0.288693 | 0.144347 | − | 0.989527i | \(-0.453892\pi\) | ||||
0.144347 | + | 0.989527i | \(0.453892\pi\) | |||||||
\(230\) | −9.15413 | − | 5.58587i | −0.603605 | − | 0.368321i | ||||
\(231\) | 1.66533 | 0.109570 | ||||||||
\(232\) | 2.49783 | + | 8.50682i | 0.163990 | + | 0.558500i | ||||
\(233\) | 9.11668 | − | 7.89965i | 0.597254 | − | 0.517523i | −0.302942 | − | 0.953009i | \(-0.597969\pi\) |
0.900196 | + | 0.435486i | \(0.143423\pi\) | |||||||
\(234\) | −16.4885 | + | 10.5965i | −1.07789 | + | 0.692718i | ||||
\(235\) | 18.2029 | − | 13.0273i | 1.18742 | − | 0.849807i | ||||
\(236\) | −4.50249 | − | 2.89357i | −0.293087 | − | 0.188355i | ||||
\(237\) | −23.4851 | − | 10.7253i | −1.52552 | − | 0.696683i | ||||
\(238\) | −7.15227 | − | 6.19748i | −0.463613 | − | 0.401723i | ||||
\(239\) | −3.41207 | + | 23.7314i | −0.220708 | + | 1.53506i | 0.514661 | + | 0.857394i | \(0.327918\pi\) |
−0.735370 | + | 0.677666i | \(0.762991\pi\) | |||||||
\(240\) | 4.32070 | − | 5.52109i | 0.278900 | − | 0.356385i | ||||
\(241\) | 18.9449 | + | 5.56273i | 1.22035 | + | 0.358327i | 0.827600 | − | 0.561318i | \(-0.189706\pi\) |
0.392750 | + | 0.919645i | \(0.371524\pi\) | |||||||
\(242\) | −3.07192 | + | 10.4620i | −0.197470 | + | 0.672522i | ||||
\(243\) | −16.1716 | + | 7.38533i | −1.03741 | + | 0.473769i | ||||
\(244\) | 0.733362 | − | 5.10064i | 0.0469487 | − | 0.326535i | ||||
\(245\) | 2.12550 | − | 8.85290i | 0.135793 | − | 0.565591i | ||||
\(246\) | −1.14381 | + | 2.50459i | −0.0729264 | + | 0.159687i | ||||
\(247\) | −6.86554 | + | 10.6830i | −0.436844 | + | 0.679743i | ||||
\(248\) | −8.27181 | + | 1.18931i | −0.525260 | + | 0.0755210i | ||||
\(249\) | 1.86855 | − | 1.20084i | 0.118414 | − | 0.0761002i | ||||
\(250\) | 6.11124 | + | 9.36231i | 0.386509 | + | 0.592124i | ||||
\(251\) | 22.0043 | − | 6.46105i | 1.38890 | − | 0.407818i | 0.500043 | − | 0.866001i | \(-0.333318\pi\) |
0.888858 | + | 0.458182i | \(0.151499\pi\) | |||||||
\(252\) | − | 11.6881i | − | 0.736281i | ||||||
\(253\) | −0.251044 | + | 1.46725i | −0.0157830 | + | 0.0922455i | ||||
\(254\) | 13.5983 | 0.853232 | ||||||||
\(255\) | −27.9973 | + | 26.8223i | −1.75326 | + | 1.67967i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −0.962922 | − | 1.49834i | −0.0600654 | − | 0.0934636i | 0.809922 | − | 0.586538i | \(-0.199509\pi\) |
−0.869987 | + | 0.493074i | \(0.835873\pi\) | |||||||
\(258\) | 15.2987 | − | 2.19962i | 0.952454 | − | 0.136942i | ||||
\(259\) | −8.20657 | − | 5.27405i | −0.509932 | − | 0.327713i | ||||
\(260\) | −6.40863 | + | 0.320499i | −0.397447 | + | 0.0198765i | ||||
\(261\) | 39.6558 | − | 45.7653i | 2.45463 | − | 2.83280i | ||||
\(262\) | −12.9333 | − | 1.85953i | −0.799025 | − | 0.114882i | ||||
\(263\) | 4.55507 | − | 2.08023i | 0.280878 | − | 0.128273i | −0.269995 | − | 0.962862i | \(-0.587022\pi\) |
0.550873 | + | 0.834589i | \(0.314295\pi\) | |||||||
\(264\) | −0.933748 | − | 0.274173i | −0.0574682 | − | 0.0168742i | ||||
\(265\) | 1.50631 | + | 7.71708i | 0.0925321 | + | 0.474056i | ||||
\(266\) | −3.14584 | − | 6.88843i | −0.192884 | − | 0.422357i | ||||
\(267\) | 28.7423 | + | 4.13251i | 1.75900 | + | 0.252906i | ||||
\(268\) | −1.28246 | − | 1.11125i | −0.0783384 | − | 0.0678806i | ||||
\(269\) | −4.11406 | + | 9.00853i | −0.250839 | + | 0.549260i | −0.992604 | − | 0.121400i | \(-0.961262\pi\) |
0.741765 | + | 0.670660i | \(0.233989\pi\) | |||||||
\(270\) | −26.7369 | − | 2.48917i | −1.62716 | − | 0.151486i | ||||
\(271\) | −2.86590 | − | 19.9327i | −0.174091 | − | 1.21083i | −0.870129 | − | 0.492823i | \(-0.835965\pi\) |
0.696039 | − | 0.718004i | \(-0.254944\pi\) | |||||||
\(272\) | 2.98994 | + | 4.65244i | 0.181292 | + | 0.282096i | ||||
\(273\) | −11.6357 | + | 10.0824i | −0.704226 | + | 0.610215i | ||||
\(274\) | −4.51173 | + | 1.32476i | −0.272564 | + | 0.0800319i | ||||
\(275\) | 0.894219 | − | 1.26843i | 0.0539234 | − | 0.0764892i | ||||
\(276\) | 14.8211 | + | 2.53585i | 0.892123 | + | 0.152640i | ||||
\(277\) | 7.60380i | 0.456868i | 0.973559 | + | 0.228434i | \(0.0733605\pi\) | ||||
−0.973559 | + | 0.228434i | \(0.926640\pi\) | |||||||
\(278\) | 5.10580 | + | 17.3888i | 0.306226 | + | 1.04291i | ||||
\(279\) | 37.3788 | + | 43.1374i | 2.23781 | + | 2.58257i | ||||
\(280\) | 1.90537 | − | 3.31833i | 0.113868 | − | 0.198308i | ||||
\(281\) | −4.11003 | − | 28.5859i | −0.245184 | − | 1.70529i | −0.625327 | − | 0.780363i | \(-0.715034\pi\) |
0.380143 | − | 0.924928i | \(-0.375875\pi\) | |||||||
\(282\) | −16.9687 | + | 26.4037i | −1.01047 | + | 1.57232i | ||||
\(283\) | 2.82957 | + | 1.29222i | 0.168200 | + | 0.0768145i | 0.497736 | − | 0.867329i | \(-0.334165\pi\) |
−0.329536 | + | 0.944143i | \(0.606892\pi\) | |||||||
\(284\) | −5.37807 | + | 6.20663i | −0.319130 | + | 0.368296i | ||||
\(285\) | −29.2943 | + | 10.2166i | −1.73525 | + | 0.605182i | ||||
\(286\) | 0.370009 | + | 0.810207i | 0.0218791 | + | 0.0479085i | ||||
\(287\) | −0.423388 | + | 1.44193i | −0.0249918 | + | 0.0851142i | ||||
\(288\) | −1.92429 | + | 6.55351i | −0.113390 | + | 0.386170i | ||||
\(289\) | −5.64341 | − | 12.3574i | −0.331966 | − | 0.726903i | ||||
\(290\) | 18.7191 | − | 6.52845i | 1.09922 | − | 0.383364i | ||||
\(291\) | −35.4182 | + | 40.8747i | −2.07625 | + | 2.39612i | ||||
\(292\) | 2.76076 | + | 1.26080i | 0.161561 | + | 0.0737826i | ||||
\(293\) | −5.33958 | + | 8.30854i | −0.311941 | + | 0.485390i | −0.961456 | − | 0.274959i | \(-0.911336\pi\) |
0.649515 | + | 0.760349i | \(0.274972\pi\) | |||||||
\(294\) | 1.81678 | + | 12.6360i | 0.105957 | + | 0.736944i | ||||
\(295\) | −5.95928 | + | 10.3785i | −0.346963 | + | 0.604258i | ||||
\(296\) | 3.73312 | + | 4.30825i | 0.216983 | + | 0.250412i | ||||
\(297\) | 1.05013 | + | 3.57643i | 0.0609350 | + | 0.207525i | ||||
\(298\) | 6.61891i | 0.383423i | ||||||||
\(299\) | −7.12916 | − | 11.7717i | −0.412290 | − | 0.680774i | ||||
\(300\) | −12.8127 | − | 9.03270i | −0.739741 | − | 0.521503i | ||||
\(301\) | 8.09412 | − | 2.37665i | 0.466537 | − | 0.136988i | ||||
\(302\) | 11.4386 | − | 9.91164i | 0.658220 | − | 0.570351i | ||||
\(303\) | −13.6764 | − | 21.2809i | −0.785690 | − | 1.22256i | ||||
\(304\) | 0.629787 | + | 4.38026i | 0.0361207 | + | 0.251225i | ||||
\(305\) | −11.4731 | − | 1.06812i | −0.656945 | − | 0.0611606i | ||||
\(306\) | 15.6917 | − | 34.3599i | 0.897032 | − | 1.96423i | ||||
\(307\) | 4.63490 | + | 4.01616i | 0.264527 | + | 0.229214i | 0.777018 | − | 0.629479i | \(-0.216732\pi\) |
−0.512490 | + | 0.858693i | \(0.671277\pi\) | |||||||
\(308\) | −0.525746 | − | 0.0755908i | −0.0299571 | − | 0.00430719i | ||||
\(309\) | −18.2460 | − | 39.9531i | −1.03798 | − | 2.27285i | ||||
\(310\) | 3.57990 | + | 18.3404i | 0.203325 | + | 1.04166i | ||||
\(311\) | −21.3138 | − | 6.25829i | −1.20859 | − | 0.354875i | −0.385461 | − | 0.922724i | \(-0.625957\pi\) |
−0.823132 | + | 0.567849i | \(0.807776\pi\) | |||||||
\(312\) | 8.18407 | − | 3.73754i | 0.463332 | − | 0.211597i | ||||
\(313\) | 2.67400 | + | 0.384463i | 0.151143 | + | 0.0217311i | 0.217471 | − | 0.976067i | \(-0.430219\pi\) |
−0.0663278 | + | 0.997798i | \(0.521128\pi\) | |||||||
\(314\) | −13.7175 | + | 15.8309i | −0.774125 | + | 0.893387i | ||||
\(315\) | −26.1028 | + | 1.30541i | −1.47072 | + | 0.0735516i | ||||
\(316\) | 6.92744 | + | 4.45200i | 0.389699 | + | 0.250444i | ||||
\(317\) | 22.4536 | − | 3.22835i | 1.26112 | − | 0.181322i | 0.520861 | − | 0.853642i | \(-0.325611\pi\) |
0.740261 | + | 0.672320i | \(0.234702\pi\) | |||||||
\(318\) | −5.96043 | − | 9.27460i | −0.334244 | − | 0.520094i | ||||
\(319\) | −1.80211 | − | 2.07975i | −0.100899 | − | 0.116444i | ||||
\(320\) | −1.61466 | + | 1.54689i | −0.0902622 | + | 0.0864739i | ||||
\(321\) | −4.28963 | −0.239424 | ||||||||
\(322\) | 8.20392 | + | 0.218747i | 0.457186 | + | 0.0121903i | ||||
\(323\) | − | 24.4736i | − | 1.36175i | ||||||
\(324\) | 16.4657 | − | 4.83477i | 0.914763 | − | 0.268599i | ||||
\(325\) | 1.43152 | + | 14.2765i | 0.0794067 | + | 0.791915i | ||||
\(326\) | −1.90169 | + | 1.22214i | −0.105325 | + | 0.0676881i | ||||
\(327\) | 43.2209 | − | 6.21423i | 2.39012 | − | 0.343648i | ||||
\(328\) | 0.474786 | − | 0.738782i | 0.0262157 | − | 0.0407924i | ||||
\(329\) | −7.11626 | + | 15.5824i | −0.392332 | + | 0.859087i | ||||
\(330\) | −0.508017 | + | 2.11594i | −0.0279654 | + | 0.116479i | ||||
\(331\) | 0.372121 | − | 2.58816i | 0.0204536 | − | 0.142258i | −0.977036 | − | 0.213076i | \(-0.931652\pi\) |
0.997489 | + | 0.0708180i | \(0.0225609\pi\) | |||||||
\(332\) | −0.644409 | + | 0.294292i | −0.0353666 | + | 0.0161514i | ||||
\(333\) | 10.9697 | − | 37.3592i | 0.601133 | − | 2.04727i | ||||
\(334\) | 8.04409 | + | 2.36196i | 0.440153 | + | 0.129241i | ||||
\(335\) | −2.33850 | + | 2.98819i | −0.127766 | + | 0.163262i | ||||
\(336\) | −0.763559 | + | 5.31067i | −0.0416556 | + | 0.289721i | ||||
\(337\) | 3.35311 | + | 2.90549i | 0.182656 | + | 0.158272i | 0.741389 | − | 0.671075i | \(-0.234167\pi\) |
−0.558734 | + | 0.829347i | \(0.688713\pi\) | |||||||
\(338\) | 4.33470 | + | 1.97959i | 0.235777 | + | 0.107676i | ||||
\(339\) | −49.9144 | − | 32.0780i | −2.71098 | − | 1.74224i | ||||
\(340\) | 10.0563 | − | 7.19699i | 0.545377 | − | 0.390312i | ||||
\(341\) | 2.18211 | − | 1.40236i | 0.118168 | − | 0.0759420i | ||||
\(342\) | 22.8430 | − | 19.7936i | 1.23521 | − | 1.07031i | ||||
\(343\) | 5.33778 | + | 18.1788i | 0.288213 | + | 0.981564i | ||||
\(344\) | −4.92965 | −0.265789 | ||||||||
\(345\) | 4.00794 | − | 33.3827i | 0.215780 | − | 1.79727i | ||||
\(346\) | 5.93814 | 0.319237 | ||||||||
\(347\) | 8.32057 | + | 28.3373i | 0.446672 | + | 1.52122i | 0.808226 | + | 0.588873i | \(0.200428\pi\) |
−0.361554 | + | 0.932351i | \(0.617754\pi\) | |||||||
\(348\) | −21.0080 | + | 18.2035i | −1.12615 | + | 0.975811i | ||||
\(349\) | 22.9030 | − | 14.7189i | 1.22597 | − | 0.787883i | 0.242712 | − | 0.970098i | \(-0.421963\pi\) |
0.983259 | + | 0.182215i | \(0.0583267\pi\) | |||||||
\(350\) | −7.62356 | − | 3.88461i | −0.407496 | − | 0.207641i | ||||
\(351\) | −28.9901 | − | 18.6308i | −1.54738 | − | 0.994440i | ||||
\(352\) | 0.282340 | + | 0.128941i | 0.0150488 | + | 0.00687255i | ||||
\(353\) | 17.2894 | + | 14.9814i | 0.920222 | + | 0.797377i | 0.979620 | − | 0.200857i | \(-0.0643728\pi\) |
−0.0593985 | + | 0.998234i | \(0.518918\pi\) | |||||||
\(354\) | 2.38812 | − | 16.6097i | 0.126927 | − | 0.882798i | ||||
\(355\) | 14.4618 | + | 11.3175i | 0.767552 | + | 0.600672i | ||||
\(356\) | −8.88639 | − | 2.60928i | −0.470978 | − | 0.138291i | ||||
\(357\) | 8.35957 | − | 28.4701i | 0.442435 | − | 1.50680i | ||||
\(358\) | 4.27413 | − | 1.95193i | 0.225895 | − | 0.103163i | ||||
\(359\) | −1.05822 | + | 7.36006i | −0.0558506 | + | 0.388449i | 0.942654 | + | 0.333773i | \(0.108322\pi\) |
−0.998504 | + | 0.0546764i | \(0.982587\pi\) | |||||||
\(360\) | 14.8507 | + | 3.56552i | 0.782702 | + | 0.187919i | ||||
\(361\) | 0.242323 | − | 0.530613i | 0.0127538 | − | 0.0279270i | ||||
\(362\) | 4.29599 | − | 6.68469i | 0.225792 | − | 0.351339i | ||||
\(363\) | −33.8384 | + | 4.86523i | −1.77606 | + | 0.255358i | ||||
\(364\) | 4.13106 | − | 2.65487i | 0.216526 | − | 0.139153i | ||||
\(365\) | 2.50737 | − | 6.30636i | 0.131242 | − | 0.330090i | ||||
\(366\) | 15.5021 | − | 4.55183i | 0.810308 | − | 0.237928i | ||||
\(367\) | − | 11.8624i | − | 0.619214i | −0.950865 | − | 0.309607i | \(-0.899803\pi\) | ||
0.950865 | − | 0.309607i | \(-0.100197\pi\) | |||||||
\(368\) | −4.56392 | − | 1.47331i | −0.237911 | − | 0.0768018i | ||||
\(369\) | −5.99821 | −0.312255 | ||||||||
\(370\) | 9.20458 | − | 8.81828i | 0.478524 | − | 0.458440i | ||||
\(371\) | −3.94047 | − | 4.54755i | −0.204579 | − | 0.236097i | ||||
\(372\) | −14.1655 | − | 22.0420i | −0.734449 | − | 1.14283i | ||||
\(373\) | 14.6693 | − | 2.10912i | 0.759545 | − | 0.109206i | 0.248350 | − | 0.968670i | \(-0.420112\pi\) |
0.511196 | + | 0.859464i | \(0.329203\pi\) | |||||||
\(374\) | −1.44407 | − | 0.928048i | −0.0746711 | − | 0.0479882i | ||||
\(375\) | −18.7415 | + | 29.6231i | −0.967807 | + | 1.52973i | ||||
\(376\) | 6.55551 | − | 7.56547i | 0.338075 | − | 0.390159i | ||||
\(377\) | 25.1829 | + | 3.62075i | 1.29698 | + | 0.186478i | ||||
\(378\) | 18.6929 | − | 8.53678i | 0.961462 | − | 0.439085i | ||||
\(379\) | −16.2047 | − | 4.75814i | −0.832382 | − | 0.244409i | −0.162342 | − | 0.986735i | \(-0.551905\pi\) |
−0.670040 | + | 0.742325i | \(0.733723\pi\) | |||||||
\(380\) | 9.71200 | − | 1.89571i | 0.498215 | − | 0.0972477i | ||||
\(381\) | 17.7112 | + | 38.7820i | 0.907370 | + | 1.98686i | ||||
\(382\) | −12.7553 | − | 1.83393i | −0.652616 | − | 0.0938320i | ||||
\(383\) | 3.28913 | + | 2.85005i | 0.168067 | + | 0.145631i | 0.734833 | − | 0.678248i | \(-0.237260\pi\) |
−0.566767 | + | 0.823878i | \(0.691806\pi\) | |||||||
\(384\) | 1.30246 | − | 2.85198i | 0.0664657 | − | 0.145540i | ||||
\(385\) | −0.110096 | + | 1.18258i | −0.00561102 | + | 0.0602698i | ||||
\(386\) | 1.22346 | + | 8.50934i | 0.0622724 | + | 0.433114i | ||||
\(387\) | 18.2036 | + | 28.3254i | 0.925341 | + | 1.43986i | ||||
\(388\) | 13.0369 | − | 11.2965i | 0.661848 | − | 0.573495i | ||||
\(389\) | 7.24671 | − | 2.12783i | 0.367423 | − | 0.107885i | −0.0928089 | − | 0.995684i | \(-0.529585\pi\) |
0.460232 | + | 0.887799i | \(0.347766\pi\) | |||||||
\(390\) | −9.26102 | − | 17.8599i | −0.468950 | − | 0.904369i | ||||
\(391\) | 23.8237 | + | 11.6571i | 1.20482 | + | 0.589524i | ||||
\(392\) | − | 4.07165i | − | 0.205649i | ||||||
\(393\) | −11.5418 | − | 39.3076i | −0.582205 | − | 1.98281i | ||||
\(394\) | 5.39012 | + | 6.22053i | 0.271551 | + | 0.313386i | ||||
\(395\) | 9.16884 | − | 15.9681i | 0.461334 | − | 0.803444i | ||||
\(396\) | −0.301710 | − | 2.09844i | −0.0151615 | − | 0.105451i | ||||
\(397\) | 4.68475 | − | 7.28961i | 0.235121 | − | 0.365855i | −0.703564 | − | 0.710632i | \(-0.748409\pi\) |
0.938685 | + | 0.344777i | \(0.112045\pi\) | |||||||
\(398\) | −6.79101 | − | 3.10135i | −0.340403 | − | 0.155457i | ||||
\(399\) | 15.5484 | − | 17.9438i | 0.778392 | − | 0.898312i | ||||
\(400\) | 3.63498 | + | 3.43321i | 0.181749 | + | 0.171661i | ||||
\(401\) | 13.0882 | + | 28.6591i | 0.653591 | + | 1.43117i | 0.888375 | + | 0.459118i | \(0.151834\pi\) |
−0.234784 | + | 0.972048i | \(0.575438\pi\) | |||||||
\(402\) | 1.49893 | − | 5.10490i | 0.0747600 | − | 0.254609i | ||||
\(403\) | −6.75621 | + | 23.0096i | −0.336551 | + | 1.14619i | ||||
\(404\) | 3.35170 | + | 7.33920i | 0.166753 | + | 0.365139i | ||||
\(405\) | −12.6364 | − | 36.2326i | −0.627908 | − | 1.80041i | ||||
\(406\) | −9.93542 | + | 11.4661i | −0.493086 | + | 0.569052i | ||||
\(407\) | −1.60952 | − | 0.735043i | −0.0797809 | − | 0.0364347i | ||||
\(408\) | −9.37441 | + | 14.5869i | −0.464102 | + | 0.722157i | ||||
\(409\) | −2.35111 | − | 16.3523i | −0.116255 | − | 0.808571i | −0.961620 | − | 0.274383i | \(-0.911526\pi\) |
0.845365 | − | 0.534188i | \(-0.179383\pi\) | |||||||
\(410\) | −1.70293 | − | 0.977817i | −0.0841019 | − | 0.0482909i | ||||
\(411\) | −9.65453 | − | 11.1419i | −0.476223 | − | 0.549591i | ||||
\(412\) | 3.94676 | + | 13.4414i | 0.194443 | + | 0.662212i | ||||
\(413\) | − | 9.15877i | − | 0.450673i | ||||||
\(414\) | 8.38754 | + | 31.6644i | 0.412225 | + | 1.55622i | ||||
\(415\) | 0.729207 | + | 1.40628i | 0.0357954 | + | 0.0690314i | ||||
\(416\) | −2.75337 | + | 0.808463i | −0.134995 | + | 0.0396381i | ||||
\(417\) | −42.9424 | + | 37.2098i | −2.10290 | + | 1.82217i | ||||
\(418\) | −0.742607 | − | 1.15552i | −0.0363221 | − | 0.0565183i | ||||
\(419\) | −3.93987 | − | 27.4024i | −0.192475 | − | 1.33869i | −0.825430 | − | 0.564505i | \(-0.809067\pi\) |
0.632954 | − | 0.774189i | \(-0.281842\pi\) | |||||||
\(420\) | 11.9455 | + | 1.11211i | 0.582880 | + | 0.0542652i | ||||
\(421\) | 0.893209 | − | 1.95586i | 0.0435324 | − | 0.0953226i | −0.886616 | − | 0.462506i | \(-0.846950\pi\) |
0.930149 | + | 0.367183i | \(0.119678\pi\) | |||||||
\(422\) | −9.81485 | − | 8.50462i | −0.477779 | − | 0.413998i | ||||
\(423\) | −67.6779 | − | 9.73062i | −3.29061 | − | 0.473119i | ||||
\(424\) | 1.46073 | + | 3.19855i | 0.0709393 | + | 0.155335i | ||||
\(425\) | −17.1960 | − | 21.6546i | −0.834130 | − | 1.05040i | ||||
\(426\) | −24.7059 | − | 7.25430i | −1.19700 | − | 0.351472i | ||||
\(427\) | 8.02131 | − | 3.66321i | 0.388179 | − | 0.177275i | ||||
\(428\) | 1.35424 | + | 0.194710i | 0.0654597 | + | 0.00941169i | ||||
\(429\) | −1.82877 | + | 2.11052i | −0.0882940 | + | 0.101897i | ||||
\(430\) | 0.550579 | + | 11.0093i | 0.0265513 | + | 0.530914i | ||||
\(431\) | 21.5740 | + | 13.8648i | 1.03918 | + | 0.667843i | 0.944785 | − | 0.327691i | \(-0.106271\pi\) |
0.0943993 | + | 0.995534i | \(0.469907\pi\) | |||||||
\(432\) | −11.8866 | + | 1.70903i | −0.571894 | + | 0.0822259i | ||||
\(433\) | 4.89885 | + | 7.62275i | 0.235424 | + | 0.366326i | 0.938784 | − | 0.344508i | \(-0.111954\pi\) |
−0.703360 | + | 0.710834i | \(0.748318\pi\) | |||||||
\(434\) | −9.36492 | − | 10.8077i | −0.449531 | − | 0.518786i | ||||
\(435\) | 42.9998 | + | 44.8835i | 2.06168 | + | 2.15200i | ||||
\(436\) | −13.9270 | −0.666980 | ||||||||
\(437\) | 13.4657 | + | 16.4040i | 0.644150 | + | 0.784711i | ||||
\(438\) | 9.51578i | 0.454681i | ||||||||
\(439\) | −5.31634 | + | 1.56102i | −0.253735 | + | 0.0745033i | −0.406126 | − | 0.913817i | \(-0.633121\pi\) |
0.152392 | + | 0.988320i | \(0.451303\pi\) | |||||||
\(440\) | 0.256426 | − | 0.644945i | 0.0122246 | − | 0.0307466i | ||||
\(441\) | −23.3954 | + | 15.0353i | −1.11406 | + | 0.715966i | ||||
\(442\) | 15.7085 | − | 2.25854i | 0.747176 | − | 0.107428i | ||||
\(443\) | −1.53783 | + | 2.39291i | −0.0730644 | + | 0.113690i | −0.875863 | − | 0.482560i | \(-0.839707\pi\) |
0.802799 | + | 0.596250i | \(0.203343\pi\) | |||||||
\(444\) | −7.42483 | + | 16.2581i | −0.352367 | + | 0.771576i | ||||
\(445\) | −4.83475 | + | 20.1372i | −0.229189 | + | 0.954594i | ||||
\(446\) | 0.0280407 | − | 0.195027i | 0.00132777 | − | 0.00923482i | ||||
\(447\) | −18.8770 | + | 8.62084i | −0.892852 | + | 0.407752i | ||||
\(448\) | 0.482113 | − | 1.64193i | 0.0227777 | − | 0.0775737i | ||||
\(449\) | 27.7520 | + | 8.14873i | 1.30970 | + | 0.384562i | 0.860765 | − | 0.509003i | \(-0.169986\pi\) |
0.448934 | + | 0.893565i | \(0.351804\pi\) | |||||||
\(450\) | 6.30416 | − | 33.5640i | 0.297181 | − | 1.58222i | ||||
\(451\) | −0.0387924 | + | 0.269807i | −0.00182666 | + | 0.0127047i | ||||
\(452\) | 14.3020 | + | 12.3927i | 0.672708 | + | 0.582905i | ||||
\(453\) | 43.1661 | + | 19.7133i | 2.02812 | + | 0.926213i | ||||
\(454\) | −5.86953 | − | 3.77212i | −0.275471 | − | 0.177034i | ||||
\(455\) | −6.39045 | − | 8.92928i | −0.299589 | − | 0.418611i | ||||
\(456\) | −11.6722 | + | 7.50124i | −0.546599 | + | 0.351278i | ||||
\(457\) | −20.6860 | + | 17.9245i | −0.967648 | + | 0.838472i | −0.986898 | − | 0.161343i | \(-0.948418\pi\) |
0.0192500 | + | 0.999815i | \(0.493872\pi\) | |||||||
\(458\) | −1.23081 | − | 4.19176i | −0.0575120 | − | 0.195868i | ||||
\(459\) | 66.4133 | 3.09991 | ||||||||
\(460\) | −2.78059 | + | 10.3570i | −0.129645 | + | 0.482900i | ||||
\(461\) | −13.1665 | −0.613227 | −0.306613 | − | 0.951834i | \(-0.599196\pi\) | ||||
−0.306613 | + | 0.951834i | \(0.599196\pi\) | |||||||
\(462\) | −0.469177 | − | 1.59787i | −0.0218281 | − | 0.0743396i | ||||
\(463\) | 9.94827 | − | 8.62022i | 0.462335 | − | 0.400616i | −0.392306 | − | 0.919835i | \(-0.628323\pi\) |
0.854641 | + | 0.519219i | \(0.173777\pi\) | |||||||
\(464\) | 7.45852 | − | 4.79330i | 0.346253 | − | 0.222523i | ||||
\(465\) | −47.6438 | + | 34.0974i | −2.20943 | + | 1.58123i | ||||
\(466\) | −10.1481 | − | 6.52180i | −0.470103 | − | 0.302117i | ||||
\(467\) | −34.6549 | − | 15.8264i | −1.60364 | − | 0.732356i | −0.605647 | − | 0.795734i | \(-0.707086\pi\) |
−0.997990 | + | 0.0633773i | \(0.979813\pi\) | |||||||
\(468\) | 14.8127 | + | 12.8352i | 0.684716 | + | 0.593310i | ||||
\(469\) | 0.413263 | − | 2.87430i | 0.0190827 | − | 0.132723i | ||||
\(470\) | −17.6279 | − | 13.7953i | −0.813117 | − | 0.636330i | ||||
\(471\) | −63.0158 | − | 18.5031i | −2.90361 | − | 0.852578i | ||||
\(472\) | −1.50786 | + | 5.13532i | −0.0694051 | + | 0.236372i | ||||
\(473\) | 1.39184 | − | 0.635632i | 0.0639968 | − | 0.0292264i | ||||
\(474\) | −3.67432 | + | 25.5555i | −0.168767 | + | 1.17380i | ||||
\(475\) | −5.31834 | − | 21.4779i | −0.244022 | − | 0.985472i | ||||
\(476\) | −3.93141 | + | 8.60858i | −0.180196 | + | 0.394574i | ||||
\(477\) | 12.9846 | − | 20.2044i | 0.594524 | − | 0.925098i | ||||
\(478\) | 23.7314 | − | 3.41207i | 1.08545 | − | 0.156064i | ||||
\(479\) | −18.6979 | + | 12.0164i | −0.854328 | + | 0.549043i | −0.892922 | − | 0.450212i | \(-0.851349\pi\) |
0.0385938 | + | 0.999255i | \(0.487712\pi\) | |||||||
\(480\) | −6.51473 | − | 2.59022i | −0.297355 | − | 0.118227i | ||||
\(481\) | 15.6960 | − | 4.60875i | 0.715675 | − | 0.210141i | ||||
\(482\) | − | 19.7447i | − | 0.899347i | ||||||
\(483\) | 10.0614 | + | 23.6823i | 0.457808 | + | 1.07758i | ||||
\(484\) | 10.9037 | 0.495621 | ||||||||
\(485\) | −26.6843 | − | 27.8533i | −1.21167 | − | 1.26475i | ||||
\(486\) | 11.6422 | + | 13.4359i | 0.528103 | + | 0.609463i | ||||
\(487\) | 11.0194 | + | 17.1466i | 0.499338 | + | 0.776984i | 0.995847 | − | 0.0910472i | \(-0.0290214\pi\) |
−0.496509 | + | 0.868032i | \(0.665385\pi\) | |||||||
\(488\) | −5.10064 | + | 0.733362i | −0.230895 | + | 0.0331977i | ||||
\(489\) | −5.96239 | − | 3.83179i | −0.269628 | − | 0.173280i | ||||
\(490\) | −9.09312 | + | 0.454751i | −0.410785 | + | 0.0205435i | ||||
\(491\) | 5.40287 | − | 6.23524i | 0.243828 | − | 0.281392i | −0.620624 | − | 0.784109i | \(-0.713120\pi\) |
0.864451 | + | 0.502716i | \(0.167666\pi\) | |||||||
\(492\) | 2.72538 | + | 0.391851i | 0.122870 | + | 0.0176660i | ||||
\(493\) | −44.6011 | + | 20.3686i | −2.00873 | + | 0.917357i | ||||
\(494\) | 12.1845 | + | 3.57769i | 0.548207 | + | 0.160968i | ||||
\(495\) | −4.65270 | + | 0.908171i | −0.209123 | + | 0.0408192i | ||||
\(496\) | 3.47157 | + | 7.60167i | 0.155878 | + | 0.341325i | ||||
\(497\) | −13.9106 | − | 2.00004i | −0.623976 | − | 0.0897142i | ||||
\(498\) | −1.67863 | − | 1.45454i | −0.0752212 | − | 0.0651795i | ||||
\(499\) | 2.26859 | − | 4.96751i | 0.101556 | − | 0.222376i | −0.852033 | − | 0.523488i | \(-0.824630\pi\) |
0.953589 | + | 0.301112i | \(0.0973577\pi\) | |||||||
\(500\) | 7.26133 | − | 8.50136i | 0.324737 | − | 0.380192i | ||||
\(501\) | 3.74081 | + | 26.0179i | 0.167127 | + | 1.16240i | ||||
\(502\) | −12.3987 | − | 19.2927i | −0.553380 | − | 0.861076i | ||||
\(503\) | −20.8418 | + | 18.0595i | −0.929291 | + | 0.805235i | −0.981116 | − | 0.193421i | \(-0.938042\pi\) |
0.0518251 | + | 0.998656i | \(0.483496\pi\) | |||||||
\(504\) | −11.2147 | + | 3.29292i | −0.499540 | + | 0.146678i | ||||
\(505\) | 16.0161 | − | 8.30496i | 0.712708 | − | 0.369566i | ||||
\(506\) | 1.47855 | − | 0.172498i | 0.0657295 | − | 0.00766848i | ||||
\(507\) | 14.9408i | 0.663545i | ||||||||
\(508\) | −3.83108 | − | 13.0474i | −0.169977 | − | 0.578887i | ||||
\(509\) | 7.56688 | + | 8.73264i | 0.335396 | + | 0.387068i | 0.898247 | − | 0.439491i | \(-0.144841\pi\) |
−0.562851 | + | 0.826558i | \(0.690296\pi\) | |||||||
\(510\) | 33.6235 | + | 19.3065i | 1.48887 | + | 0.854906i | ||||
\(511\) | 0.739137 | + | 5.14081i | 0.0326975 | + | 0.227416i | ||||
\(512\) | −0.540641 | + | 0.841254i | −0.0238932 | + | 0.0371785i | ||||
\(513\) | 48.3403 | + | 22.0763i | 2.13428 | + | 0.974692i | ||||
\(514\) | −1.16636 | + | 1.34605i | −0.0514458 | + | 0.0593716i | ||||
\(515\) | 29.5776 | − | 10.3154i | 1.30335 | − | 0.454553i | ||||
\(516\) | −6.42065 | − | 14.0593i | −0.282653 | − | 0.618925i | ||||
\(517\) | −0.875391 | + | 2.98131i | −0.0384996 | + | 0.131118i | ||||
\(518\) | −2.74835 | + | 9.36002i | −0.120756 | + | 0.411256i | ||||
\(519\) | 7.73417 | + | 16.9355i | 0.339492 | + | 0.743385i | ||||
\(520\) | 2.11304 | + | 6.05874i | 0.0926628 | + | 0.265694i | ||||
\(521\) | −20.4164 | + | 23.5618i | −0.894460 | + | 1.03226i | 0.104827 | + | 0.994491i | \(0.466571\pi\) |
−0.999286 | + | 0.0377712i | \(0.987974\pi\) | |||||||
\(522\) | −55.0838 | − | 25.1559i | −2.41095 | − | 1.10104i | ||||
\(523\) | −0.176307 | + | 0.274339i | −0.00770937 | + | 0.0119960i | −0.845087 | − | 0.534629i | \(-0.820451\pi\) |
0.837377 | + | 0.546625i | \(0.184088\pi\) | |||||||
\(524\) | 1.85953 | + | 12.9333i | 0.0812341 | + | 0.564996i | ||||
\(525\) | 1.14948 | − | 26.8018i | 0.0501675 | − | 1.16972i | ||||
\(526\) | −3.27928 | − | 3.78449i | −0.142983 | − | 0.165012i | ||||
\(527\) | −13.0207 | − | 44.3445i | −0.567191 | − | 1.93168i | ||||
\(528\) | 0.973168i | 0.0423517i | ||||||||
\(529\) | −22.3823 | + | 5.29463i | −0.973143 | + | 0.230201i | ||||
\(530\) | 6.98011 | − | 3.61945i | 0.303196 | − | 0.157219i | ||||
\(531\) | 35.0752 | − | 10.2990i | 1.52213 | − | 0.446938i | ||||
\(532\) | −5.72312 | + | 4.95911i | −0.248129 | + | 0.215005i | ||||
\(533\) | −1.36245 | − | 2.12002i | −0.0590143 | − | 0.0918281i | ||||
\(534\) | −4.13251 | − | 28.7423i | −0.178831 | − | 1.24380i | ||||
\(535\) | 0.283591 | − | 3.04614i | 0.0122607 | − | 0.131696i | ||||
\(536\) | −0.704931 | + | 1.54358i | −0.0304484 | + | 0.0666726i | ||||
\(537\) | 11.1337 | + | 9.64743i | 0.480456 | + | 0.416317i | ||||
\(538\) | 9.80269 | + | 1.40941i | 0.422624 | + | 0.0607641i | ||||
\(539\) | 0.525000 | + | 1.14959i | 0.0226134 | + | 0.0495164i | ||||
\(540\) | 5.14433 | + | 26.3552i | 0.221377 | + | 1.13415i | ||||
\(541\) | 28.1698 | + | 8.27140i | 1.21111 | + | 0.355615i | 0.824093 | − | 0.566455i | \(-0.191686\pi\) |
0.387022 | + | 0.922070i | \(0.373504\pi\) | |||||||
\(542\) | −18.3179 | + | 8.36551i | −0.786822 | + | 0.359329i | ||||
\(543\) | 24.6599 | + | 3.54556i | 1.05826 | + | 0.152155i | ||||
\(544\) | 3.62162 | − | 4.17958i | 0.155276 | − | 0.179198i | ||||
\(545\) | 1.55546 | + | 31.1027i | 0.0666287 | + | 1.33230i | ||||
\(546\) | 12.9522 | + | 8.32385i | 0.554301 | + | 0.356228i | ||||
\(547\) | −4.78079 | + | 0.687374i | −0.204412 | + | 0.0293900i | −0.243760 | − | 0.969836i | \(-0.578381\pi\) |
0.0393482 | + | 0.999226i | \(0.487472\pi\) | |||||||
\(548\) | 2.54220 | + | 3.95575i | 0.108598 | + | 0.168981i | ||||
\(549\) | 23.0489 | + | 26.5998i | 0.983702 | + | 1.13525i | ||||
\(550\) | −1.46898 | − | 0.500638i | −0.0626375 | − | 0.0213473i | ||||
\(551\) | −39.2346 | −1.67145 | ||||||||
\(552\) | −1.74244 | − | 14.9351i | −0.0741632 | − | 0.635681i | ||||
\(553\) | 14.0915i | 0.599232i | ||||||||
\(554\) | 7.29579 | − | 2.14224i | 0.309968 | − | 0.0910149i | ||||
\(555\) | 37.1381 | + | 14.7659i | 1.57643 | + | 0.626777i | ||||
\(556\) | 15.2459 | − | 9.79797i | 0.646572 | − | 0.415526i | ||||
\(557\) | −4.32690 | + | 0.622114i | −0.183337 | + | 0.0263598i | −0.233372 | − | 0.972388i | \(-0.574976\pi\) |
0.0500349 | + | 0.998747i | \(0.484067\pi\) | |||||||
\(558\) | 30.8592 | − | 48.0179i | 1.30637 | − | 2.03276i | ||||
\(559\) | −5.87653 | + | 12.8678i | −0.248551 | + | 0.544250i | ||||
\(560\) | −3.72072 | − | 0.893309i | −0.157229 | − | 0.0377492i | ||||
\(561\) | 0.765936 | − | 5.32720i | 0.0323378 | − | 0.224915i | ||||
\(562\) | −26.2700 | + | 11.9971i | −1.10813 | + | 0.506068i | ||||
\(563\) | −1.99325 | + | 6.78837i | −0.0840053 | + | 0.286096i | −0.990772 | − | 0.135536i | \(-0.956724\pi\) |
0.906767 | + | 0.421632i | \(0.138543\pi\) | |||||||
\(564\) | 30.1148 | + | 8.84251i | 1.26806 | + | 0.372337i | ||||
\(565\) | 26.0791 | − | 33.3244i | 1.09715 | − | 1.40197i | ||||
\(566\) | 0.442695 | − | 3.07901i | 0.0186078 | − | 0.129420i | ||||
\(567\) | 22.1936 | + | 19.2309i | 0.932046 | + | 0.807622i | ||||
\(568\) | 7.47039 | + | 3.41161i | 0.313451 | + | 0.143148i | ||||
\(569\) | 5.25212 | + | 3.37534i | 0.220181 | + | 0.141501i | 0.646082 | − | 0.763268i | \(-0.276407\pi\) |
−0.425901 | + | 0.904770i | \(0.640043\pi\) | |||||||
\(570\) | 18.0560 | + | 25.2294i | 0.756281 | + | 1.05674i | ||||
\(571\) | 12.9792 | − | 8.34125i | 0.543164 | − | 0.349070i | −0.240111 | − | 0.970745i | \(-0.577184\pi\) |
0.783275 | + | 0.621675i | \(0.213548\pi\) | |||||||
\(572\) | 0.673144 | − | 0.583283i | 0.0281456 | − | 0.0243883i | ||||
\(573\) | −11.3828 | − | 38.7664i | −0.475525 | − | 1.61949i | ||||
\(574\) | 1.50280 | 0.0627256 | ||||||||
\(575\) | 23.4407 | + | 5.05307i | 0.977545 | + | 0.210727i | ||||
\(576\) | 6.83018 | 0.284591 | ||||||||
\(577\) | 2.02733 | + | 6.90445i | 0.0843988 | + | 0.287436i | 0.990868 | − | 0.134836i | \(-0.0430508\pi\) |
−0.906469 | + | 0.422272i | \(0.861233\pi\) | |||||||
\(578\) | −10.2669 | + | 8.89628i | −0.427045 | + | 0.370037i | ||||
\(579\) | −22.6750 | + | 14.5723i | −0.942339 | + | 0.605605i | ||||
\(580\) | −11.5378 | − | 16.1216i | −0.479080 | − | 0.669412i | ||||
\(581\) | −1.01985 | − | 0.655415i | −0.0423103 | − | 0.0271912i | ||||
\(582\) | 49.1975 | + | 22.4677i | 2.03930 | + | 0.931318i | ||||
\(583\) | −0.824846 | − | 0.714733i | −0.0341616 | − | 0.0296012i | ||||
\(584\) | 0.431930 | − | 3.00414i | 0.0178734 | − | 0.124312i | ||||
\(585\) | 27.0103 | − | 34.5143i | 1.11674 | − | 1.42699i | ||||
\(586\) | 9.47632 | + | 2.78250i | 0.391463 | + | 0.114944i | ||||
\(587\) | 8.68032 | − | 29.5624i | 0.358275 | − | 1.22017i | −0.561417 | − | 0.827533i | \(-0.689744\pi\) |
0.919692 | − | 0.392640i | \(-0.128438\pi\) | |||||||
\(588\) | 11.6123 | − | 5.30314i | 0.478882 | − | 0.218698i | ||||
\(589\) | 5.26304 | − | 36.6053i | 0.216860 | − | 1.50829i | ||||
\(590\) | 11.6370 | + | 2.79393i | 0.479087 | + | 0.115024i | ||||
\(591\) | −10.7204 | + | 23.4745i | −0.440980 | + | 0.965612i | ||||
\(592\) | 3.08200 | − | 4.79568i | 0.126669 | − | 0.197101i | ||||
\(593\) | −1.27477 | + | 0.183285i | −0.0523487 | + | 0.00752661i | −0.168439 | − | 0.985712i | \(-0.553873\pi\) |
0.116091 | + | 0.993239i | \(0.462964\pi\) | |||||||
\(594\) | 3.13570 | − | 2.01519i | 0.128659 | − | 0.0826843i | ||||
\(595\) | 19.6644 | + | 7.81845i | 0.806163 | + | 0.320525i | ||||
\(596\) | 6.35080 | − | 1.86476i | 0.260139 | − | 0.0763837i | ||||
\(597\) | − | 23.4072i | − | 0.957993i | ||||||
\(598\) | −9.28632 | + | 10.1568i | −0.379746 | + | 0.415344i | ||||
\(599\) | 31.1765 | 1.27384 | 0.636918 | − | 0.770931i | \(-0.280209\pi\) | ||||
0.636918 | + | 0.770931i | \(0.280209\pi\) | |||||||
\(600\) | −5.05706 | + | 14.8385i | −0.206453 | + | 0.605779i | ||||
\(601\) | −30.5586 | − | 35.2665i | −1.24651 | − | 1.43855i | −0.855207 | − | 0.518287i | \(-0.826570\pi\) |
−0.391303 | − | 0.920262i | \(-0.627976\pi\) | |||||||
\(602\) | −4.56075 | − | 7.09667i | −0.185882 | − | 0.289239i | ||||
\(603\) | 11.4724 | − | 1.64948i | 0.467192 | − | 0.0671720i | ||||
\(604\) | −12.7328 | − | 8.18287i | −0.518090 | − | 0.332956i | ||||
\(605\) | −1.21780 | − | 24.3509i | −0.0495106 | − | 0.990004i | ||||
\(606\) | −16.5658 | + | 19.1180i | −0.672940 | + | 0.776614i | ||||
\(607\) | −13.1523 | − | 1.89101i | −0.533834 | − | 0.0767538i | −0.129874 | − | 0.991530i | \(-0.541457\pi\) |
−0.403960 | + | 0.914777i | \(0.632366\pi\) | |||||||
\(608\) | 4.02540 | − | 1.83834i | 0.163251 | − | 0.0745545i | ||||
\(609\) | −45.6415 | − | 13.4015i | −1.84949 | − | 0.543058i | ||||
\(610\) | 2.20748 | + | 11.3092i | 0.0893781 | + | 0.457898i | ||||
\(611\) | −11.9334 | − | 26.1304i | −0.482772 | − | 1.05712i | ||||
\(612\) | −37.3890 | − | 5.37572i | −1.51136 | − | 0.217301i | ||||
\(613\) | −28.5393 | − | 24.7294i | −1.15269 | − | 0.998813i | −0.999944 | − | 0.0105473i | \(-0.996643\pi\) |
−0.152747 | − | 0.988265i | \(-0.548812\pi\) | |||||||
\(614\) | 2.54768 | − | 5.57863i | 0.102816 | − | 0.225135i | ||||
\(615\) | 0.570721 | − | 6.13029i | 0.0230137 | − | 0.247197i | ||||
\(616\) | 0.0755908 | + | 0.525746i | 0.00304564 | + | 0.0211829i | ||||
\(617\) | −5.74990 | − | 8.94702i | −0.231482 | − | 0.360193i | 0.706009 | − | 0.708203i | \(-0.250494\pi\) |
−0.937491 | + | 0.348010i | \(0.886858\pi\) | |||||||
\(618\) | −33.1942 | + | 28.7630i | −1.33527 | + | 1.15702i | ||||
\(619\) | −15.7414 | + | 4.62210i | −0.632701 | + | 0.185778i | −0.582330 | − | 0.812953i | \(-0.697859\pi\) |
−0.0503714 | + | 0.998731i | \(0.516041\pi\) | |||||||
\(620\) | 16.5889 | − | 8.60198i | 0.666227 | − | 0.345464i | ||||
\(621\) | −44.5152 | + | 36.5414i | −1.78633 | + | 1.46636i | ||||
\(622\) | 22.2136i | 0.890683i | ||||||||
\(623\) | −4.46511 | − | 15.2068i | −0.178891 | − | 0.609246i | ||||
\(624\) | −5.89186 | − | 6.79957i | −0.235863 | − | 0.272201i | ||||
\(625\) | −19.7969 | − | 15.2671i | −0.791875 | − | 0.610683i | ||||
\(626\) | −0.384463 | − | 2.67400i | −0.0153662 | − | 0.106874i | ||||
\(627\) | 2.32831 | − | 3.62291i | 0.0929836 | − | 0.144685i | ||||
\(628\) | 19.0543 | + | 8.70180i | 0.760348 | + | 0.347239i | ||||
\(629\) | −20.6456 | + | 23.8262i | −0.823192 | + | 0.950015i | ||||
\(630\) | 8.60653 | + | 24.6776i | 0.342892 | + | 0.983181i | ||||
\(631\) | 12.3285 | + | 26.9957i | 0.490791 | + | 1.07468i | 0.979354 | + | 0.202154i | \(0.0647941\pi\) |
−0.488563 | + | 0.872529i | \(0.662479\pi\) | |||||||
\(632\) | 2.31997 | − | 7.90111i | 0.0922836 | − | 0.314289i | ||||
\(633\) | 11.4716 | − | 39.0687i | 0.455955 | − | 1.55284i | ||||
\(634\) | −9.42350 | − | 20.6346i | −0.374255 | − | 0.819504i | ||||
\(635\) | −28.7107 | + | 10.0131i | −1.13935 | + | 0.397357i | ||||
\(636\) | −7.21967 | + | 8.33194i | −0.286279 | + | 0.330383i | ||||
\(637\) | −10.6282 | − | 4.85373i | −0.421104 | − | 0.192312i | ||||
\(638\) | −1.48779 | + | 2.31505i | −0.0589022 | + | 0.0916536i | ||||
\(639\) | −7.98289 | − | 55.5223i | −0.315798 | − | 2.19643i | ||||
\(640\) | 1.93913 | + | 1.11344i | 0.0766510 | + | 0.0440127i | ||||
\(641\) | 20.3803 | + | 23.5201i | 0.804973 | + | 0.928988i | 0.998643 | − | 0.0520783i | \(-0.0165846\pi\) |
−0.193670 | + | 0.981067i | \(0.562039\pi\) | |||||||
\(642\) | 1.20853 | + | 4.11587i | 0.0476968 | + | 0.162440i | ||||
\(643\) | 33.3763i | 1.31623i | 0.752915 | + | 0.658117i | \(0.228647\pi\) | ||||
−0.752915 | + | 0.658117i | \(0.771353\pi\) | |||||||
\(644\) | −2.10142 | − | 7.93323i | −0.0828077 | − | 0.312613i | ||||
\(645\) | −30.6811 | + | 15.9093i | −1.20807 | + | 0.626429i | ||||
\(646\) | −23.4822 | + | 6.89500i | −0.923896 | + | 0.271280i | ||||
\(647\) | −8.42598 | + | 7.30115i | −0.331259 | + | 0.287038i | −0.804570 | − | 0.593858i | \(-0.797604\pi\) |
0.473311 | + | 0.880896i | \(0.343059\pi\) | |||||||
\(648\) | −9.27786 | − | 14.4366i | −0.364469 | − | 0.567125i | ||||
\(649\) | −0.236419 | − | 1.64433i | −0.00928027 | − | 0.0645457i | ||||
\(650\) | 13.2949 | − | 5.39568i | 0.521467 | − | 0.211636i | ||||
\(651\) | 18.6259 | − | 40.7851i | 0.730008 | − | 1.59849i | ||||
\(652\) | 1.70840 | + | 1.48034i | 0.0669062 | + | 0.0579746i | ||||
\(653\) | 21.6793 | + | 3.11701i | 0.848377 | + | 0.121978i | 0.552772 | − | 0.833332i | \(-0.313570\pi\) |
0.295604 | + | 0.955310i | \(0.404479\pi\) | |||||||
\(654\) | −18.1392 | − | 39.7194i | −0.709300 | − | 1.55315i | ||||
\(655\) | 28.6761 | − | 5.59734i | 1.12047 | − | 0.218706i | ||||
\(656\) | −0.842619 | − | 0.247415i | −0.0328987 | − | 0.00965994i | ||||
\(657\) | −18.8565 | + | 8.61148i | −0.735663 | + | 0.335966i | ||||
\(658\) | 16.9561 | + | 2.43792i | 0.661018 | + | 0.0950400i | ||||
\(659\) | −22.0321 | + | 25.4265i | −0.858251 | + | 0.990474i | 0.141749 | + | 0.989903i | \(0.454727\pi\) |
−1.00000 | 0.000571471i | \(0.999818\pi\) | ||||||||
\(660\) | 2.17335 | − | 0.108690i | 0.0845977 | − | 0.00423077i | ||||
\(661\) | −7.41002 | − | 4.76213i | −0.288216 | − | 0.185225i | 0.388541 | − | 0.921431i | \(-0.372979\pi\) |
−0.676758 | + | 0.736206i | \(0.736615\pi\) | |||||||
\(662\) | −2.58816 | + | 0.372121i | −0.100592 | + | 0.0144629i | ||||
\(663\) | 26.9009 | + | 41.8586i | 1.04474 | + | 1.62565i | ||||
\(664\) | 0.463922 | + | 0.535395i | 0.0180037 | + | 0.0207773i | ||||
\(665\) | 11.7143 | + | 12.2274i | 0.454260 | + | 0.474160i | ||||
\(666\) | −38.9364 | −1.50876 | ||||||||
\(667\) | 18.6879 | − | 38.1927i | 0.723599 | − | 1.47883i | ||||
\(668\) | − | 8.38369i | − | 0.324375i | ||||||
\(669\) | 0.592736 | − | 0.174043i | 0.0229165 | − | 0.00672889i | ||||
\(670\) | 3.52598 | + | 1.40191i | 0.136221 | + | 0.0541604i | ||||
\(671\) | 1.34556 | − | 0.864737i | 0.0519447 | − | 0.0333828i | ||||
\(672\) | 5.31067 | − | 0.763559i | 0.204864 | − | 0.0294549i | ||||
\(673\) | −17.3056 | + | 26.9280i | −0.667082 | + | 1.03800i | 0.328537 | + | 0.944491i | \(0.393445\pi\) |
−0.995618 | + | 0.0935085i | \(0.970192\pi\) | |||||||
\(674\) | 1.84312 | − | 4.03586i | 0.0709942 | − | 0.155456i | ||||
\(675\) | 58.2839 | − | 14.4322i | 2.24335 | − | 0.555497i | ||||
\(676\) | 0.678178 | − | 4.71683i | 0.0260838 | − | 0.181417i | ||||
\(677\) | −16.3642 | + | 7.47329i | −0.628928 | + | 0.287222i | −0.704266 | − | 0.709936i | \(-0.748724\pi\) |
0.0753378 | + | 0.997158i | \(0.475996\pi\) | |||||||
\(678\) | −16.7161 | + | 56.9299i | −0.641980 | + | 2.18638i | ||||
\(679\) | 28.3237 | + | 8.31658i | 1.08696 | + | 0.319161i | ||||
\(680\) | −9.73864 | − | 7.62128i | −0.373460 | − | 0.292263i | ||||
\(681\) | 3.11320 | − | 21.6528i | 0.119298 | − | 0.829738i | ||||
\(682\) | −1.96033 | − | 1.69863i | −0.0750648 | − | 0.0650440i | ||||
\(683\) | −0.485409 | − | 0.221679i | −0.0185737 | − | 0.00848231i | 0.406107 | − | 0.913826i | \(-0.366886\pi\) |
−0.424680 | + | 0.905343i | \(0.639613\pi\) | |||||||
\(684\) | −25.4274 | − | 16.3412i | −0.972242 | − | 0.624822i | ||||
\(685\) | 8.55034 | − | 6.11925i | 0.326692 | − | 0.233805i | ||||
\(686\) | 15.9386 | − | 10.2431i | 0.608539 | − | 0.391085i | ||||
\(687\) | 10.3517 | − | 8.96982i | 0.394943 | − | 0.342220i | ||||
\(688\) | 1.38884 | + | 4.72996i | 0.0529491 | + | 0.180328i | ||||
\(689\) | 10.0904 | 0.384416 | ||||||||
\(690\) | −33.1597 | + | 5.55942i | −1.26237 | + | 0.211643i | ||||
\(691\) | −21.7415 | −0.827084 | −0.413542 | − | 0.910485i | \(-0.635709\pi\) | ||||
−0.413542 | + | 0.910485i | \(0.635709\pi\) | |||||||
\(692\) | −1.67297 | − | 5.69761i | −0.0635967 | − | 0.216590i | ||||
\(693\) | 2.74176 | − | 2.37575i | 0.104151 | − | 0.0902472i | ||||
\(694\) | 24.8452 | − | 15.9671i | 0.943112 | − | 0.606101i | ||||
\(695\) | −23.5843 | − | 32.9541i | −0.894605 | − | 1.25002i | ||||
\(696\) | 23.3848 | + | 15.0285i | 0.886398 | + | 0.569653i | ||||
\(697\) | 4.41783 | + | 2.01756i | 0.167337 | + | 0.0764204i | ||||
\(698\) | −20.5752 | − | 17.8285i | −0.778782 | − | 0.674819i | ||||
\(699\) | 5.38257 | − | 37.4366i | 0.203588 | − | 1.41598i | ||||
\(700\) | −1.57945 | + | 8.40917i | −0.0596976 | + | 0.317837i | ||||
\(701\) | 13.8025 | + | 4.05279i | 0.521315 | + | 0.153072i | 0.531795 | − | 0.846873i | \(-0.321518\pi\) |
−0.0104800 | + | 0.999945i | \(0.503336\pi\) | |||||||
\(702\) | −9.70869 | + | 33.0647i | −0.366431 | + | 1.24795i | ||||
\(703\) | −22.9473 | + | 10.4797i | −0.865475 | + | 0.395249i | ||||
\(704\) | 0.0441730 | − | 0.307230i | 0.00166483 | − | 0.0115792i | ||||
\(705\) | 16.3843 | − | 68.2423i | 0.617070 | − | 2.57016i | ||||
\(706\) | 9.50351 | − | 20.8098i | 0.357669 | − | 0.783187i | ||||
\(707\) | −7.46454 | + | 11.6151i | −0.280733 | + | 0.436829i | ||||
\(708\) | −16.6097 | + | 2.38812i | −0.624233 | + | 0.0897511i | ||||
\(709\) | 5.81078 | − | 3.73436i | 0.218229 | − | 0.140247i | −0.426960 | − | 0.904271i | \(-0.640415\pi\) |
0.645188 | + | 0.764024i | \(0.276779\pi\) | |||||||
\(710\) | 6.78473 | − | 17.0645i | 0.254627 | − | 0.640419i | ||||
\(711\) | −53.9660 | + | 15.8458i | −2.02388 | + | 0.594266i | ||||
\(712\) | 9.26154i | 0.347091i | ||||||||
\(713\) | 33.1263 | + | 22.5588i | 1.24059 | + | 0.844835i | ||||
\(714\) | −29.6720 | −1.11045 | ||||||||
\(715\) | −1.37781 | − | 1.43817i | −0.0515273 | − | 0.0537846i | ||||
\(716\) | −3.07702 | − | 3.55107i | −0.114994 | − | 0.132710i | ||||
\(717\) | 40.6403 | + | 63.2376i | 1.51774 | + | 2.36165i | ||||
\(718\) | 7.36006 | − | 1.05822i | 0.274675 | − | 0.0394923i | ||||
\(719\) | 41.3227 | + | 26.5565i | 1.54108 | + | 0.990390i | 0.987505 | + | 0.157588i | \(0.0503719\pi\) |
0.553572 | + | 0.832802i | \(0.313265\pi\) | |||||||
\(720\) | −0.762844 | − | 15.2537i | −0.0284295 | − | 0.568472i | ||||
\(721\) | −15.6987 | + | 18.1173i | −0.584651 | + | 0.674723i | ||||
\(722\) | −0.577389 | − | 0.0830160i | −0.0214882 | − | 0.00308954i | ||||
\(723\) | 56.3116 | − | 25.7166i | 2.09425 | − | 0.956412i | ||||
\(724\) | −7.62423 | − | 2.23868i | −0.283352 | − | 0.0831997i | ||||
\(725\) | −34.7153 | + | 27.5676i | −1.28930 | + | 1.02384i | ||||
\(726\) | 14.2015 | + | 31.0970i | 0.527068 | + | 1.15412i | ||||
\(727\) | 36.9982 | + | 5.31953i | 1.37219 | + | 0.197291i | 0.788673 | − | 0.614813i | \(-0.210769\pi\) |
0.583513 | + | 0.812104i | \(0.301678\pi\) | |||||||
\(728\) | −3.71118 | − | 3.21576i | −0.137546 | − | 0.119184i | ||||
\(729\) | −1.76868 | + | 3.87286i | −0.0655066 | + | 0.143439i | ||||
\(730\) | −6.75732 | − | 0.629096i | −0.250100 | − | 0.0232839i | ||||
\(731\) | −3.87990 | − | 26.9853i | −0.143503 | − | 0.998087i | ||||
\(732\) | −8.73490 | − | 13.5918i | −0.322851 | − | 0.502366i | ||||
\(733\) | −9.14567 | + | 7.92477i | −0.337803 | + | 0.292708i | −0.807199 | − | 0.590280i | \(-0.799017\pi\) |
0.469396 | + | 0.882988i | \(0.344472\pi\) | |||||||
\(734\) | −11.3819 | + | 3.34203i | −0.420114 | + | 0.123357i | ||||
\(735\) | −13.1403 | − | 25.3411i | −0.484688 | − | 0.934721i | ||||
\(736\) | −0.127829 | + | 4.79413i | −0.00471185 | + | 0.176714i | ||||
\(737\) | − | 0.526710i | − | 0.0194016i | ||||||
\(738\) | 1.68989 | + | 5.75524i | 0.0622058 | + | 0.211853i | ||||
\(739\) | 1.02872 | + | 1.18720i | 0.0378420 | + | 0.0436720i | 0.774355 | − | 0.632751i | \(-0.218074\pi\) |
−0.736513 | + | 0.676423i | \(0.763529\pi\) | |||||||
\(740\) | −11.0543 | − | 6.34734i | −0.406364 | − | 0.233333i | ||||
\(741\) | 5.66627 | + | 39.4098i | 0.208156 | + | 1.44775i | ||||
\(742\) | −3.25318 | + | 5.06205i | −0.119428 | + | 0.185834i | ||||
\(743\) | −24.8085 | − | 11.3296i | −0.910134 | − | 0.415644i | −0.0953731 | − | 0.995442i | \(-0.530404\pi\) |
−0.814761 | + | 0.579797i | \(0.803132\pi\) | |||||||
\(744\) | −17.1583 | + | 19.8017i | −0.629052 | + | 0.725965i | ||||
\(745\) | −4.87383 | − | 13.9748i | −0.178563 | − | 0.511998i | ||||
\(746\) | −6.15649 | − | 13.4808i | −0.225405 | − | 0.493569i | ||||
\(747\) | 1.36322 | − | 4.64270i | 0.0498776 | − | 0.169867i | ||||
\(748\) | −0.483614 | + | 1.64704i | −0.0176827 | + | 0.0602216i | ||||
\(749\) | 0.972597 | + | 2.12969i | 0.0355379 | + | 0.0778172i | ||||
\(750\) | 33.7033 | + | 9.63654i | 1.23067 | + | 0.351877i | ||||
\(751\) | 11.9351 | − | 13.7738i | 0.435518 | − | 0.502615i | −0.494984 | − | 0.868902i | \(-0.664826\pi\) |
0.930502 | + | 0.366288i | \(0.119371\pi\) | |||||||
\(752\) | −9.10591 | − | 4.15853i | −0.332058 | − | 0.151646i | ||||
\(753\) | 38.8737 | − | 60.4887i | 1.41664 | − | 2.20433i | ||||
\(754\) | −3.62075 | − | 25.1829i | −0.131860 | − | 0.917106i | ||||
\(755\) | −16.8525 | + | 29.3498i | −0.613326 | + | 1.06815i | ||||
\(756\) | −13.4574 | − | 15.5307i | −0.489441 | − | 0.564845i | ||||
\(757\) | −6.92289 | − | 23.5772i | −0.251617 | − | 0.856928i | −0.984322 | − | 0.176382i | \(-0.943561\pi\) |
0.732705 | − | 0.680546i | \(-0.238258\pi\) | |||||||
\(758\) | 16.8889i | 0.613431i | ||||||||
\(759\) | 2.41770 | + | 3.99212i | 0.0877571 | + | 0.144905i | ||||
\(760\) | −4.55510 | − | 8.78451i | −0.165231 | − | 0.318648i | ||||
\(761\) | −14.8972 | + | 4.37422i | −0.540024 | + | 0.158565i | −0.540359 | − | 0.841435i | \(-0.681712\pi\) |
0.000335081 | 1.00000i | \(0.499893\pi\) | ||||||||
\(762\) | 32.2213 | − | 27.9199i | 1.16725 | − | 1.01143i | ||||
\(763\) | −12.8848 | − | 20.0491i | −0.466460 | − | 0.725826i | ||||
\(764\) | 1.83393 | + | 12.7553i | 0.0663493 | + | 0.461469i | ||||
\(765\) | −7.82961 | + | 84.1003i | −0.283080 | + | 3.04065i | ||||
\(766\) | 1.80795 | − | 3.95885i | 0.0653237 | − | 0.143039i | ||||
\(767\) | 11.6072 | + | 10.0577i | 0.419110 | + | 0.363161i | ||||
\(768\) | −3.10340 | − | 0.446201i | −0.111984 | − | 0.0161009i | ||||
\(769\) | 21.4392 | + | 46.9453i | 0.773117 | + | 1.69289i | 0.719667 | + | 0.694319i | \(0.244294\pi\) |
0.0534500 | + | 0.998571i | \(0.482978\pi\) | |||||||
\(770\) | 1.16569 | − | 0.227534i | 0.0420087 | − | 0.00819976i | ||||
\(771\) | −5.35803 | − | 1.57326i | −0.192965 | − | 0.0566595i | ||||
\(772\) | 7.81996 | − | 3.57126i | 0.281447 | − | 0.128532i | ||||
\(773\) | −28.1584 |