Newspace parameters
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.p (of order \(12\), degree \(4\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(13.2754297513\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 45) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 68.2 | ||
Character | \(\chi\) | \(=\) | 225.68 |
Dual form | 225.4.p.b.182.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15194 | + | 4.29910i | −0.407272 | + | 1.51996i | 0.392553 | + | 0.919729i | \(0.371592\pi\) |
−0.799826 | + | 0.600232i | \(0.795075\pi\) | |||||||
\(3\) | 2.52446 | + | 4.54171i | 0.485832 | + | 0.874052i | ||||
\(4\) | −10.2271 | − | 5.90461i | −1.27839 | − | 0.738077i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −22.4333 | + | 5.62113i | −1.52639 | + | 0.382469i | ||||
\(7\) | 7.13532 | + | 1.91190i | 0.385271 | + | 0.103233i | 0.446255 | − | 0.894906i | \(-0.352757\pi\) |
−0.0609842 | + | 0.998139i | \(0.519424\pi\) | |||||||
\(8\) | 11.9883 | − | 11.9883i | 0.529811 | − | 0.529811i | ||||
\(9\) | −14.2542 | + | 22.9307i | −0.527934 | + | 0.849286i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −7.55654 | + | 4.36277i | −0.207126 | + | 0.119584i | −0.599975 | − | 0.800019i | \(-0.704823\pi\) |
0.392849 | + | 0.919603i | \(0.371489\pi\) | |||||||
\(12\) | 0.999152 | − | 61.3544i | 0.0240359 | − | 1.47596i | ||||
\(13\) | −73.7842 | + | 19.7704i | −1.57416 | + | 0.421794i | −0.937111 | − | 0.349030i | \(-0.886511\pi\) |
−0.637047 | + | 0.770825i | \(0.719844\pi\) | |||||||
\(14\) | −16.4389 | + | 28.4731i | −0.313821 | + | 0.543553i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −9.50797 | − | 16.4683i | −0.148562 | − | 0.257317i | ||||
\(17\) | 5.92131 | + | 5.92131i | 0.0844782 | + | 0.0844782i | 0.748083 | − | 0.663605i | \(-0.230974\pi\) |
−0.663605 | + | 0.748083i | \(0.730974\pi\) | |||||||
\(18\) | −82.1614 | − | 87.6951i | −1.07587 | − | 1.14833i | ||||
\(19\) | − | 106.718i | − | 1.28857i | −0.764787 | − | 0.644284i | \(-0.777156\pi\) | ||
0.764787 | − | 0.644284i | \(-0.222844\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 9.32953 | + | 37.2331i | 0.0969462 | + | 0.386901i | ||||
\(22\) | −10.0513 | − | 37.5120i | −0.0974066 | − | 0.363526i | ||||
\(23\) | −27.4553 | − | 102.465i | −0.248906 | − | 0.928930i | −0.971380 | − | 0.237531i | \(-0.923662\pi\) |
0.722474 | − | 0.691398i | \(-0.243005\pi\) | |||||||
\(24\) | 84.7110 | + | 24.1833i | 0.720482 | + | 0.205683i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | − | 339.980i | − | 2.56445i | ||||||
\(27\) | −140.129 | − | 6.85080i | −0.998807 | − | 0.0488310i | ||||
\(28\) | −61.6846 | − | 61.6846i | −0.416332 | − | 0.416332i | ||||
\(29\) | 85.3380 | + | 147.810i | 0.546444 | + | 0.946469i | 0.998515 | + | 0.0544866i | \(0.0173522\pi\) |
−0.452070 | + | 0.891982i | \(0.649314\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −157.999 | + | 273.662i | −0.915400 | + | 1.58552i | −0.109085 | + | 0.994032i | \(0.534792\pi\) |
−0.806315 | + | 0.591487i | \(0.798541\pi\) | |||||||
\(32\) | 212.761 | − | 57.0093i | 1.17535 | − | 0.314935i | ||||
\(33\) | −38.8906 | − | 23.3059i | −0.205151 | − | 0.122941i | ||||
\(34\) | −32.2773 | + | 18.6353i | −0.162809 | + | 0.0939979i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 281.176 | − | 150.349i | 1.30174 | − | 0.696060i | ||||
\(37\) | 31.7091 | − | 31.7091i | 0.140890 | − | 0.140890i | −0.633144 | − | 0.774034i | \(-0.718236\pi\) |
0.774034 | + | 0.633144i | \(0.218236\pi\) | |||||||
\(38\) | 458.791 | + | 122.933i | 1.95857 | + | 0.524798i | ||||
\(39\) | −276.057 | − | 285.197i | −1.13345 | − | 1.17097i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 298.272 | + | 172.207i | 1.13615 | + | 0.655958i | 0.945475 | − | 0.325695i | \(-0.105598\pi\) |
0.190677 | + | 0.981653i | \(0.438932\pi\) | |||||||
\(42\) | −170.816 | − | 2.78172i | −0.627558 | − | 0.0102197i | ||||
\(43\) | −115.545 | + | 431.220i | −0.409778 | + | 1.52931i | 0.385292 | + | 0.922795i | \(0.374101\pi\) |
−0.795070 | + | 0.606517i | \(0.792566\pi\) | |||||||
\(44\) | 103.042 | 0.353049 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 472.133 | 1.51331 | ||||||||
\(47\) | 60.9929 | − | 227.629i | 0.189292 | − | 0.706448i | −0.804379 | − | 0.594117i | \(-0.797502\pi\) |
0.993671 | − | 0.112331i | \(-0.0358317\pi\) | |||||||
\(48\) | 50.7917 | − | 84.7559i | 0.152732 | − | 0.254864i | ||||
\(49\) | −249.789 | − | 144.216i | −0.728249 | − | 0.420454i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −11.9448 | + | 41.8410i | −0.0327961 | + | 0.114881i | ||||
\(52\) | 871.335 | + | 233.473i | 2.32370 | + | 0.622633i | ||||
\(53\) | 60.5508 | − | 60.5508i | 0.156930 | − | 0.156930i | −0.624275 | − | 0.781205i | \(-0.714605\pi\) |
0.781205 | + | 0.624275i | \(0.214605\pi\) | |||||||
\(54\) | 190.872 | − | 594.536i | 0.481008 | − | 1.49826i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 108.460 | − | 62.6197i | 0.258815 | − | 0.149427i | ||||
\(57\) | 484.682 | − | 269.405i | 1.12627 | − | 0.626028i | ||||
\(58\) | −733.754 | + | 196.609i | −1.66115 | + | 0.445103i | ||||
\(59\) | −25.4427 | + | 44.0680i | −0.0561416 | + | 0.0972401i | −0.892730 | − | 0.450591i | \(-0.851213\pi\) |
0.836589 | + | 0.547831i | \(0.184546\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −36.1174 | − | 62.5572i | −0.0758092 | − | 0.131305i | 0.825629 | − | 0.564214i | \(-0.190821\pi\) |
−0.901438 | + | 0.432909i | \(0.857487\pi\) | |||||||
\(62\) | −994.494 | − | 994.494i | −2.03711 | − | 2.03711i | ||||
\(63\) | −145.550 | + | 136.365i | −0.291072 | + | 0.272705i | ||||
\(64\) | 828.227i | 1.61763i | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 144.994 | − | 140.347i | 0.270418 | − | 0.261751i | ||||
\(67\) | −4.59668 | − | 17.1550i | −0.00838169 | − | 0.0312809i | 0.961608 | − | 0.274426i | \(-0.0884877\pi\) |
−0.969990 | + | 0.243145i | \(0.921821\pi\) | |||||||
\(68\) | −25.5947 | − | 95.5208i | −0.0456444 | − | 0.170347i | ||||
\(69\) | 396.055 | − | 383.362i | 0.691006 | − | 0.668861i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 109.592i | 0.183185i | 0.995797 | + | 0.0915927i | \(0.0291958\pi\) | ||||
−0.995797 | + | 0.0915927i | \(0.970804\pi\) | |||||||
\(72\) | 104.016 | + | 445.782i | 0.170256 | + | 0.729666i | ||||
\(73\) | 144.319 | + | 144.319i | 0.231387 | + | 0.231387i | 0.813271 | − | 0.581885i | \(-0.197685\pi\) |
−0.581885 | + | 0.813271i | \(0.697685\pi\) | |||||||
\(74\) | 99.7935 | + | 172.847i | 0.156767 | + | 0.271529i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −630.128 | + | 1091.41i | −0.951062 | + | 1.64729i | ||||
\(77\) | −62.2595 | + | 16.6824i | −0.0921446 | + | 0.0246901i | ||||
\(78\) | 1544.09 | − | 858.266i | 2.24146 | − | 1.24589i | ||||
\(79\) | −140.624 | + | 81.1891i | −0.200271 | + | 0.115626i | −0.596782 | − | 0.802404i | \(-0.703554\pi\) |
0.396511 | + | 0.918030i | \(0.370221\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −322.635 | − | 653.718i | −0.442572 | − | 0.896733i | ||||
\(82\) | −1083.93 | + | 1083.93i | −1.45975 | + | 1.45975i | ||||
\(83\) | −279.860 | − | 74.9883i | −0.370104 | − | 0.0991691i | 0.0689728 | − | 0.997619i | \(-0.478028\pi\) |
−0.439077 | + | 0.898449i | \(0.644694\pi\) | |||||||
\(84\) | 124.433 | − | 435.873i | 0.161628 | − | 0.566163i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1720.76 | − | 993.479i | −2.15760 | − | 1.24569i | ||||
\(87\) | −455.877 | + | 760.720i | −0.561783 | + | 0.937446i | ||||
\(88\) | −38.2877 | + | 142.892i | −0.0463805 | + | 0.173094i | ||||
\(89\) | −1107.89 | −1.31950 | −0.659751 | − | 0.751484i | \(-0.729338\pi\) | ||||
−0.659751 | + | 0.751484i | \(0.729338\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −564.273 | −0.650021 | ||||||||
\(92\) | −324.227 | + | 1210.03i | −0.367423 | + | 1.37124i | ||||
\(93\) | −1641.75 | − | 26.7358i | −1.83056 | − | 0.0298105i | ||||
\(94\) | 908.339 | + | 524.430i | 0.996681 | + | 0.575434i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 796.027 | + | 822.383i | 0.846294 | + | 0.874314i | ||||
\(97\) | 197.725 | + | 52.9802i | 0.206968 | + | 0.0554569i | 0.360813 | − | 0.932638i | \(-0.382499\pi\) |
−0.153845 | + | 0.988095i | \(0.549166\pi\) | |||||||
\(98\) | 907.741 | − | 907.741i | 0.935670 | − | 0.935670i | ||||
\(99\) | 7.67108 | − | 235.465i | 0.00778760 | − | 0.239041i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −960.085 | + | 554.305i | −0.945862 | + | 0.546093i | −0.891793 | − | 0.452444i | \(-0.850552\pi\) |
−0.0540686 | + | 0.998537i | \(0.517219\pi\) | |||||||
\(102\) | −166.119 | − | 99.5500i | −0.161257 | − | 0.0966364i | ||||
\(103\) | 276.457 | − | 74.0766i | 0.264468 | − | 0.0708639i | −0.124148 | − | 0.992264i | \(-0.539620\pi\) |
0.388616 | + | 0.921400i | \(0.372953\pi\) | |||||||
\(104\) | −647.531 | + | 1121.56i | −0.610535 | + | 1.05748i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 190.563 | + | 330.065i | 0.174614 | + | 0.302441i | ||||
\(107\) | 864.028 | + | 864.028i | 0.780643 | + | 0.780643i | 0.979939 | − | 0.199296i | \(-0.0638656\pi\) |
−0.199296 | + | 0.979939i | \(0.563866\pi\) | |||||||
\(108\) | 1392.66 | + | 897.470i | 1.24082 | + | 0.799621i | ||||
\(109\) | 990.712i | 0.870578i | 0.900291 | + | 0.435289i | \(0.143354\pi\) | ||||
−0.900291 | + | 0.435289i | \(0.856646\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 224.062 | + | 63.9651i | 0.191595 | + | 0.0546964i | ||||
\(112\) | −36.3567 | − | 135.685i | −0.0306730 | − | 0.114473i | ||||
\(113\) | −19.6119 | − | 73.1927i | −0.0163269 | − | 0.0609327i | 0.957282 | − | 0.289157i | \(-0.0933748\pi\) |
−0.973609 | + | 0.228224i | \(0.926708\pi\) | |||||||
\(114\) | 599.875 | + | 2394.03i | 0.492837 | + | 1.96686i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | − | 2015.55i | − | 1.61327i | ||||||
\(117\) | 598.386 | − | 1973.74i | 0.472827 | − | 1.55959i | ||||
\(118\) | −160.144 | − | 160.144i | −0.124936 | − | 0.124936i | ||||
\(119\) | 30.9295 | + | 53.5714i | 0.0238261 | + | 0.0412679i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −627.432 | + | 1086.74i | −0.471399 | + | 0.816488i | ||||
\(122\) | 310.545 | − | 83.2102i | 0.230454 | − | 0.0617500i | ||||
\(123\) | −29.1401 | + | 1789.39i | −0.0213616 | + | 1.31174i | ||||
\(124\) | 3231.73 | − | 1865.84i | 2.34047 | − | 1.35127i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −418.584 | − | 782.818i | −0.295956 | − | 0.553484i | ||||
\(127\) | −1084.18 | + | 1084.18i | −0.757521 | + | 0.757521i | −0.975871 | − | 0.218350i | \(-0.929933\pi\) |
0.218350 | + | 0.975871i | \(0.429933\pi\) | |||||||
\(128\) | −1858.54 | − | 497.994i | −1.28338 | − | 0.343882i | ||||
\(129\) | −2250.16 | + | 563.825i | −1.53578 | + | 0.384822i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1415.36 | + | 817.157i | 0.943972 | + | 0.545003i | 0.891203 | − | 0.453604i | \(-0.149862\pi\) |
0.0527689 | + | 0.998607i | \(0.483195\pi\) | |||||||
\(132\) | 260.125 | + | 467.986i | 0.171523 | + | 0.308583i | ||||
\(133\) | 204.035 | − | 761.467i | 0.133023 | − | 0.496448i | ||||
\(134\) | 79.0463 | 0.0509594 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 141.972 | 0.0895149 | ||||||||
\(137\) | −591.988 | + | 2209.33i | −0.369175 | + | 1.37778i | 0.492497 | + | 0.870314i | \(0.336084\pi\) |
−0.861672 | + | 0.507465i | \(0.830583\pi\) | |||||||
\(138\) | 1191.88 | + | 2144.29i | 0.735215 | + | 1.32271i | ||||
\(139\) | −1895.18 | − | 1094.18i | −1.15645 | − | 0.667678i | −0.206001 | − | 0.978552i | \(-0.566045\pi\) |
−0.950451 | + | 0.310874i | \(0.899378\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1187.80 | − | 297.627i | 0.709437 | − | 0.177764i | ||||
\(142\) | −471.146 | − | 126.243i | −0.278435 | − | 0.0746063i | ||||
\(143\) | 471.299 | − | 471.299i | 0.275609 | − | 0.275609i | ||||
\(144\) | 513.158 | + | 16.7179i | 0.296967 | + | 0.00967471i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −786.687 | + | 454.194i | −0.445936 | + | 0.257461i | ||||
\(147\) | 24.4035 | − | 1498.54i | 0.0136923 | − | 0.840797i | ||||
\(148\) | −511.522 | + | 137.062i | −0.284100 | + | 0.0761244i | ||||
\(149\) | 311.430 | − | 539.412i | 0.171230 | − | 0.296580i | −0.767620 | − | 0.640905i | \(-0.778559\pi\) |
0.938850 | + | 0.344326i | \(0.111892\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1009.02 | − | 1747.68i | −0.543795 | − | 0.941881i | −0.998682 | − | 0.0513314i | \(-0.983654\pi\) |
0.454887 | − | 0.890549i | \(-0.349680\pi\) | |||||||
\(152\) | −1279.36 | − | 1279.36i | −0.682697 | − | 0.682697i | ||||
\(153\) | −220.183 | + | 51.3763i | −0.116345 | + | 0.0271472i | ||||
\(154\) | − | 286.877i | − | 0.150112i | ||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 1139.28 | + | 4546.74i | 0.584715 | + | 2.33353i | ||||
\(157\) | −182.444 | − | 680.891i | −0.0927428 | − | 0.346121i | 0.903925 | − | 0.427692i | \(-0.140673\pi\) |
−0.996668 | + | 0.0815706i | \(0.974006\pi\) | |||||||
\(158\) | −187.050 | − | 698.080i | −0.0941829 | − | 0.351495i | ||||
\(159\) | 427.862 | + | 122.146i | 0.213407 | + | 0.0609233i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 783.611i | − | 0.383585i | ||||||
\(162\) | 3182.06 | − | 633.996i | 1.54325 | − | 0.307478i | ||||
\(163\) | 426.426 | + | 426.426i | 0.204909 | + | 0.204909i | 0.802100 | − | 0.597190i | \(-0.203716\pi\) |
−0.597190 | + | 0.802100i | \(0.703716\pi\) | |||||||
\(164\) | −2033.64 | − | 3522.36i | −0.968294 | − | 1.67714i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 644.765 | − | 1116.77i | 0.301467 | − | 0.522155i | ||||
\(167\) | −613.477 | + | 164.381i | −0.284265 | + | 0.0761686i | −0.398134 | − | 0.917327i | \(-0.630342\pi\) |
0.113869 | + | 0.993496i | \(0.463676\pi\) | |||||||
\(168\) | 558.204 | + | 334.515i | 0.256348 | + | 0.153621i | ||||
\(169\) | 3150.58 | − | 1818.99i | 1.43404 | − | 0.827943i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2447.12 | + | 1521.18i | 1.09436 | + | 0.680278i | ||||
\(172\) | 3727.88 | − | 3727.88i | 1.65260 | − | 1.65260i | ||||
\(173\) | −686.713 | − | 184.004i | −0.301791 | − | 0.0808646i | 0.104746 | − | 0.994499i | \(-0.466597\pi\) |
−0.406537 | + | 0.913634i | \(0.633264\pi\) | |||||||
\(174\) | −2745.27 | − | 2836.16i | −1.19608 | − | 1.23568i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 143.695 | + | 82.9622i | 0.0615420 | + | 0.0355313i | ||||
\(177\) | −264.373 | − | 4.30529i | −0.112268 | − | 0.00182828i | ||||
\(178\) | 1276.22 | − | 4762.91i | 0.537397 | − | 2.00559i | ||||
\(179\) | 2690.52 | 1.12346 | 0.561730 | − | 0.827321i | \(-0.310136\pi\) | ||||
0.561730 | + | 0.827321i | \(0.310136\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 197.441 | 0.0810810 | 0.0405405 | − | 0.999178i | \(-0.487092\pi\) | ||||
0.0405405 | + | 0.999178i | \(0.487092\pi\) | |||||||
\(182\) | 650.009 | − | 2425.87i | 0.264736 | − | 0.988007i | ||||
\(183\) | 192.939 | − | 321.958i | 0.0779371 | − | 0.130054i | ||||
\(184\) | −1557.52 | − | 899.232i | −0.624030 | − | 0.360284i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2006.14 | − | 7027.26i | 0.790846 | − | 2.77023i | ||||
\(187\) | −70.5779 | − | 18.9113i | −0.0275998 | − | 0.00739535i | ||||
\(188\) | −1967.84 | + | 1967.84i | −0.763402 | + | 0.763402i | ||||
\(189\) | −986.766 | − | 316.795i | −0.379771 | − | 0.121923i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 306.085 | − | 176.718i | 0.115956 | − | 0.0669470i | −0.440900 | − | 0.897556i | \(-0.645341\pi\) |
0.556856 | + | 0.830609i | \(0.312007\pi\) | |||||||
\(192\) | −3761.56 | + | 2090.82i | −1.41389 | + | 0.785897i | ||||
\(193\) | −1387.59 | + | 371.803i | −0.517517 | + | 0.138668i | −0.508118 | − | 0.861287i | \(-0.669659\pi\) |
−0.00939936 | + | 0.999956i | \(0.502992\pi\) | |||||||
\(194\) | −455.534 | + | 789.008i | −0.168585 | + | 0.291997i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1703.08 | + | 2949.82i | 0.620655 | + | 1.07501i | ||||
\(197\) | 2647.40 | + | 2647.40i | 0.957458 | + | 0.957458i | 0.999131 | − | 0.0416736i | \(-0.0132690\pi\) |
−0.0416736 | + | 0.999131i | \(0.513269\pi\) | |||||||
\(198\) | 1003.45 | + | 304.220i | 0.360162 | + | 0.109192i | ||||
\(199\) | 3785.65i | 1.34853i | 0.738488 | + | 0.674266i | \(0.235540\pi\) | ||||
−0.738488 | + | 0.674266i | \(0.764460\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 66.3090 | − | 64.1839i | 0.0232690 | − | 0.0225233i | ||||
\(202\) | −1277.05 | − | 4766.03i | −0.444818 | − | 1.66008i | ||||
\(203\) | 326.316 | + | 1217.83i | 0.112822 | + | 0.421058i | ||||
\(204\) | 369.215 | − | 357.382i | 0.126717 | − | 0.122656i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1273.85i | 0.430842i | ||||||||
\(207\) | 2740.94 | + | 830.983i | 0.920332 | + | 0.279021i | ||||
\(208\) | 1027.12 | + | 1027.12i | 0.342395 | + | 0.342395i | ||||
\(209\) | 465.586 | + | 806.418i | 0.154092 | + | 0.266895i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 676.890 | − | 1172.41i | 0.220849 | − | 0.382521i | −0.734217 | − | 0.678915i | \(-0.762451\pi\) |
0.955066 | + | 0.296394i | \(0.0957840\pi\) | |||||||
\(212\) | −976.788 | + | 261.730i | −0.316444 | + | 0.0847908i | ||||
\(213\) | −497.734 | + | 276.660i | −0.160114 | + | 0.0889974i | ||||
\(214\) | −4709.85 | + | 2719.24i | −1.50448 | + | 0.868613i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1762.03 | + | 1597.77i | −0.555050 | + | 0.503308i | ||||
\(217\) | −1650.59 | + | 1650.59i | −0.516355 | + | 0.516355i | ||||
\(218\) | −4259.17 | − | 1141.24i | −1.32325 | − | 0.354563i | ||||
\(219\) | −291.126 | + | 1019.78i | −0.0898288 | + | 0.314659i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −553.966 | − | 319.832i | −0.168614 | − | 0.0973496i | ||||
\(222\) | −533.098 | + | 889.579i | −0.161168 | + | 0.268940i | ||||
\(223\) | −508.185 | + | 1896.57i | −0.152604 | + | 0.569525i | 0.846695 | + | 0.532079i | \(0.178589\pi\) |
−0.999299 | + | 0.0374461i | \(0.988078\pi\) | |||||||
\(224\) | 1627.12 | 0.485341 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 337.255 | 0.0992648 | ||||||||
\(227\) | 816.800 | − | 3048.34i | 0.238823 | − | 0.891301i | −0.737564 | − | 0.675277i | \(-0.764024\pi\) |
0.976388 | − | 0.216025i | \(-0.0693092\pi\) | |||||||
\(228\) | −6547.62 | − | 106.627i | −1.90187 | − | 0.0309718i | ||||
\(229\) | 3455.23 | + | 1994.88i | 0.997066 | + | 0.575656i | 0.907379 | − | 0.420314i | \(-0.138080\pi\) |
0.0896872 | + | 0.995970i | \(0.471413\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −232.938 | − | 240.651i | −0.0663472 | − | 0.0685439i | ||||
\(232\) | 2795.04 | + | 748.928i | 0.790962 | + | 0.211937i | ||||
\(233\) | 2166.38 | − | 2166.38i | 0.609118 | − | 0.609118i | −0.333598 | − | 0.942715i | \(-0.608263\pi\) |
0.942715 | + | 0.333598i | \(0.108263\pi\) | |||||||
\(234\) | 7795.98 | + | 4846.15i | 2.17795 | + | 1.35386i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 520.409 | − | 300.458i | 0.143541 | − | 0.0828736i | ||||
\(237\) | −723.736 | − | 433.713i | −0.198362 | − | 0.118872i | ||||
\(238\) | −265.938 | + | 71.2579i | −0.0724294 | + | 0.0194074i | ||||
\(239\) | −1946.01 | + | 3370.59i | −0.526682 | + | 0.912239i | 0.472835 | + | 0.881151i | \(0.343231\pi\) |
−0.999517 | + | 0.0310884i | \(0.990103\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3291.66 | − | 5701.33i | −0.879812 | − | 1.52388i | −0.851547 | − | 0.524278i | \(-0.824335\pi\) |
−0.0282647 | − | 0.999600i | \(-0.508998\pi\) | |||||||
\(242\) | −3949.26 | − | 3949.26i | −1.04904 | − | 1.04904i | ||||
\(243\) | 2154.52 | − | 3115.60i | 0.568775 | − | 0.822493i | ||||
\(244\) | 853.037i | 0.223812i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −7659.22 | − | 2186.55i | −1.98510 | − | 0.566705i | ||||
\(247\) | 2109.86 | + | 7874.10i | 0.543511 | + | 2.02841i | ||||
\(248\) | 1386.60 | + | 5174.85i | 0.355036 | + | 1.32501i | ||||
\(249\) | −365.921 | − | 1460.35i | −0.0931297 | − | 0.371670i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6323.18i | 1.59010i | 0.606543 | + | 0.795051i | \(0.292556\pi\) | ||||
−0.606543 | + | 0.795051i | \(0.707444\pi\) | |||||||
\(252\) | 2293.74 | − | 535.206i | 0.573380 | − | 0.133789i | ||||
\(253\) | 654.497 | + | 654.497i | 0.162640 | + | 0.162640i | ||||
\(254\) | −3412.08 | − | 5909.89i | −0.842885 | − | 1.45992i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 968.943 | − | 1678.26i | 0.236558 | − | 0.409731i | ||||
\(257\) | 1363.16 | − | 365.257i | 0.330861 | − | 0.0886541i | −0.0895642 | − | 0.995981i | \(-0.528547\pi\) |
0.420426 | + | 0.907327i | \(0.361881\pi\) | |||||||
\(258\) | 168.112 | − | 10323.2i | 0.0405666 | − | 2.49106i | ||||
\(259\) | 286.879 | − | 165.630i | 0.0688255 | − | 0.0397364i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4605.81 | − | 150.050i | −1.09231 | − | 0.0355857i | ||||
\(262\) | −5143.45 | + | 5143.45i | −1.21284 | + | 1.21284i | ||||
\(263\) | −317.317 | − | 85.0248i | −0.0743977 | − | 0.0199348i | 0.221428 | − | 0.975177i | \(-0.428928\pi\) |
−0.295826 | + | 0.955242i | \(0.595595\pi\) | |||||||
\(264\) | −745.628 | + | 186.833i | −0.173827 | + | 0.0435559i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 3038.59 | + | 1754.33i | 0.700405 | + | 0.404379i | ||||
\(267\) | −2796.81 | − | 5031.70i | −0.641057 | − | 1.15331i | ||||
\(268\) | −54.2832 | + | 202.588i | −0.0123727 | + | 0.0461754i | ||||
\(269\) | 764.226 | 0.173218 | 0.0866091 | − | 0.996242i | \(-0.472397\pi\) | ||||
0.0866091 | + | 0.996242i | \(0.472397\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4645.09 | 1.04121 | 0.520607 | − | 0.853797i | \(-0.325706\pi\) | ||||
0.520607 | + | 0.853797i | \(0.325706\pi\) | |||||||
\(272\) | 41.2142 | − | 153.813i | 0.00918742 | − | 0.0342879i | ||||
\(273\) | −1424.49 | − | 2562.76i | −0.315801 | − | 0.568152i | ||||
\(274\) | −8816.19 | − | 5090.03i | −1.94382 | − | 1.12226i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6314.10 | + | 1582.13i | −1.37704 | + | 0.345047i | ||||
\(277\) | −5783.77 | − | 1549.76i | −1.25456 | − | 0.336158i | −0.430463 | − | 0.902608i | \(-0.641650\pi\) |
−0.824096 | + | 0.566450i | \(0.808316\pi\) | |||||||
\(278\) | 6887.13 | − | 6887.13i | 1.48584 | − | 1.48584i | ||||
\(279\) | −4023.11 | − | 7523.85i | −0.863288 | − | 1.61448i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4201.11 | − | 2425.51i | 0.891877 | − | 0.514925i | 0.0173209 | − | 0.999850i | \(-0.494486\pi\) |
0.874556 | + | 0.484925i | \(0.161153\pi\) | |||||||
\(282\) | −88.7415 | + | 5449.31i | −0.0187393 | + | 1.15071i | ||||
\(283\) | 345.530 | − | 92.5845i | 0.0725782 | − | 0.0194473i | −0.222347 | − | 0.974968i | \(-0.571372\pi\) |
0.294925 | + | 0.955520i | \(0.404705\pi\) | |||||||
\(284\) | 647.098 | − | 1120.81i | 0.135205 | − | 0.234182i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1483.25 | + | 2569.07i | 0.306667 | + | 0.531162i | ||||
\(287\) | 1799.02 | + | 1799.02i | 0.370010 | + | 0.370010i | ||||
\(288\) | −1725.48 | + | 5691.39i | −0.353039 | + | 1.16447i | ||||
\(289\) | − | 4842.88i | − | 0.985727i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 258.528 | + | 1031.75i | 0.0520796 | + | 0.207844i | ||||
\(292\) | −623.814 | − | 2328.11i | −0.125020 | − | 0.466582i | ||||
\(293\) | 2206.15 | + | 8233.45i | 0.439879 | + | 1.64165i | 0.729114 | + | 0.684392i | \(0.239932\pi\) |
−0.289236 | + | 0.957258i | \(0.593401\pi\) | |||||||
\(294\) | 6414.25 | + | 1831.14i | 1.27240 | + | 0.363245i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | − | 760.273i | − | 0.149290i | ||||||
\(297\) | 1088.78 | − | 559.581i | 0.212718 | − | 0.109327i | ||||
\(298\) | 1960.24 | + | 1960.24i | 0.381052 | + | 0.381052i | ||||
\(299\) | 4051.54 | + | 7017.48i | 0.783635 | + | 1.35730i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1648.90 | + | 2855.98i | −0.315751 | + | 0.546897i | ||||
\(302\) | 8675.77 | − | 2324.67i | 1.65310 | − | 0.442946i | ||||
\(303\) | −4941.19 | − | 2961.10i | −0.936844 | − | 0.561422i | ||||
\(304\) | −1757.46 | + | 1014.67i | −0.331570 | + | 0.191432i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 32.7665 | − | 1005.77i | 0.00612137 | − | 0.187896i | ||||
\(307\) | 6239.03 | − | 6239.03i | 1.15987 | − | 1.15987i | 0.175367 | − | 0.984503i | \(-0.443889\pi\) |
0.984503 | − | 0.175367i | \(-0.0561111\pi\) | |||||||
\(308\) | 735.237 | + | 197.006i | 0.136020 | + | 0.0364463i | ||||
\(309\) | 1034.34 | + | 1068.59i | 0.190426 | + | 0.196730i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1983.11 | − | 1144.95i | −0.361582 | − | 0.208760i | 0.308192 | − | 0.951324i | \(-0.400276\pi\) |
−0.669775 | + | 0.742565i | \(0.733609\pi\) | |||||||
\(312\) | −6728.45 | − | 109.572i | −1.22091 | − | 0.0198824i | ||||
\(313\) | −1583.94 | + | 5911.34i | −0.286037 | + | 1.06750i | 0.662042 | + | 0.749467i | \(0.269690\pi\) |
−0.948079 | + | 0.318036i | \(0.896977\pi\) | |||||||
\(314\) | 3137.38 | 0.563862 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1917.56 | 0.341365 | ||||||||
\(317\) | −2327.37 | + | 8685.87i | −0.412361 | + | 1.53895i | 0.377704 | + | 0.925927i | \(0.376714\pi\) |
−0.790064 | + | 0.613024i | \(0.789953\pi\) | |||||||
\(318\) | −1017.99 | + | 1698.72i | −0.179516 | + | 0.299558i | ||||
\(319\) | −1289.72 | − | 744.620i | −0.226365 | − | 0.130692i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1742.96 | + | 6105.37i | −0.303061 | + | 1.06158i | ||||
\(322\) | 3368.82 | + | 902.673i | 0.583035 | + | 0.156224i | ||||
\(323\) | 631.910 | − | 631.910i | 0.108856 | − | 0.108856i | ||||
\(324\) | −560.337 | + | 8590.67i | −0.0960797 | + | 1.47302i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2324.46 | + | 1342.03i | −0.394909 | + | 0.228001i | ||||
\(327\) | −4499.53 | + | 2501.01i | −0.760931 | + | 0.422955i | ||||
\(328\) | 5640.22 | − | 1511.29i | 0.949479 | − | 0.254412i | ||||
\(329\) | 870.409 | − | 1507.59i | 0.145858 | − | 0.252633i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 368.018 | + | 637.425i | 0.0611120 | + | 0.105849i | 0.894963 | − | 0.446141i | \(-0.147202\pi\) |
−0.833851 | + | 0.551990i | \(0.813869\pi\) | |||||||
\(332\) | 2419.38 | + | 2419.38i | 0.399942 | + | 0.399942i | ||||
\(333\) | 275.124 | + | 1179.10i | 0.0452754 | + | 0.194037i | ||||
\(334\) | − | 2826.75i | − | 0.463093i | ||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 524.460 | − | 507.652i | 0.0851537 | − | 0.0824247i | ||||
\(337\) | −1168.46 | − | 4360.75i | −0.188873 | − | 0.704883i | −0.993768 | − | 0.111466i | \(-0.964445\pi\) |
0.804896 | − | 0.593417i | \(-0.202221\pi\) | |||||||
\(338\) | 4190.74 | + | 15640.0i | 0.674396 | + | 2.51688i | ||||
\(339\) | 282.910 | − | 273.844i | 0.0453262 | − | 0.0438736i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 2757.25i | − | 0.437869i | ||||||
\(342\) | −9358.64 | + | 8768.10i | −1.47970 | + | 1.38633i | ||||
\(343\) | −3298.23 | − | 3298.23i | −0.519207 | − | 0.519207i | ||||
\(344\) | 3784.39 | + | 6554.76i | 0.593141 | + | 1.02735i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1582.11 | − | 2740.29i | 0.245822 | − | 0.425777i | ||||
\(347\) | 3929.82 | − | 1052.99i | 0.607964 | − | 0.162904i | 0.0583140 | − | 0.998298i | \(-0.481428\pi\) |
0.549651 | + | 0.835395i | \(0.314761\pi\) | |||||||
\(348\) | 9154.05 | − | 5088.18i | 1.41008 | − | 0.783779i | ||||
\(349\) | −2120.49 | + | 1224.26i | −0.325235 | + | 0.187775i | −0.653724 | − | 0.756733i | \(-0.726794\pi\) |
0.328489 | + | 0.944508i | \(0.393461\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10474.7 | − | 2264.92i | 1.59288 | − | 0.344424i | ||||
\(352\) | −1359.02 | + | 1359.02i | −0.205784 | + | 0.205784i | ||||
\(353\) | 10497.9 | + | 2812.90i | 1.58285 | + | 0.424123i | 0.939807 | − | 0.341707i | \(-0.111005\pi\) |
0.643043 | + | 0.765830i | \(0.277672\pi\) | |||||||
\(354\) | 323.051 | − | 1131.61i | 0.0485027 | − | 0.169899i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 11330.5 | + | 6541.64i | 1.68683 | + | 0.973894i | ||||
\(357\) | −165.226 | + | 275.712i | −0.0244949 | + | 0.0408745i | ||||
\(358\) | −3099.32 | + | 11566.8i | −0.457554 | + | 1.70762i | ||||
\(359\) | 6928.63 | 1.01861 | 0.509303 | − | 0.860587i | \(-0.329903\pi\) | ||||
0.509303 | + | 0.860587i | \(0.329903\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4529.72 | −0.660406 | ||||||||
\(362\) | −227.440 | + | 848.818i | −0.0330221 | + | 0.123240i | ||||
\(363\) | −6519.61 | − | 106.171i | −0.942674 | − | 0.0153514i | ||||
\(364\) | 5770.88 | + | 3331.82i | 0.830978 | + | 0.479766i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1161.87 | + | 1200.34i | 0.165935 | + | 0.171429i | ||||
\(367\) | 9084.65 | + | 2434.22i | 1.29214 | + | 0.346227i | 0.838472 | − | 0.544944i | \(-0.183449\pi\) |
0.453666 | + | 0.891172i | \(0.350116\pi\) | |||||||
\(368\) | −1426.37 | + | 1426.37i | −0.202051 | + | 0.202051i | ||||
\(369\) | −8200.47 | + | 4384.91i | −1.15691 | + | 0.618615i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 547.817 | − | 316.282i | 0.0766610 | − | 0.0442603i | ||||
\(372\) | 16632.5 | + | 9967.34i | 2.31816 | + | 1.38920i | ||||
\(373\) | 5601.71 | − | 1500.97i | 0.777602 | − | 0.208358i | 0.151875 | − | 0.988400i | \(-0.451469\pi\) |
0.625727 | + | 0.780042i | \(0.284802\pi\) | |||||||
\(374\) | 162.603 | − | 281.637i | 0.0224813 | − | 0.0389388i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1997.67 | − | 3460.07i | −0.273995 | − | 0.474573i | ||||
\(377\) | −9218.86 | − | 9218.86i | −1.25940 | − | 1.25940i | ||||
\(378\) | 2498.63 | − | 3877.28i | 0.339989 | − | 0.527581i | ||||
\(379\) | − | 6617.31i | − | 0.896856i | −0.893819 | − | 0.448428i | \(-0.851984\pi\) | ||
0.893819 | − | 0.448428i | \(-0.148016\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7660.97 | − | 2187.05i | −1.03014 | − | 0.294084i | ||||
\(382\) | 407.137 | + | 1519.46i | 0.0545313 | + | 0.203514i | ||||
\(383\) | −3218.73 | − | 12012.4i | −0.429423 | − | 1.60263i | −0.754070 | − | 0.656795i | \(-0.771912\pi\) |
0.324646 | − | 0.945836i | \(-0.394755\pi\) | |||||||
\(384\) | −2430.06 | − | 9698.10i | −0.322939 | − | 1.28881i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 6393.68i | − | 0.843082i | ||||||
\(387\) | −8241.18 | − | 8796.23i | −1.08249 | − | 1.15539i | ||||
\(388\) | −1709.32 | − | 1709.32i | −0.223654 | − | 0.223654i | ||||
\(389\) | −4995.39 | − | 8652.28i | −0.651096 | − | 1.12773i | −0.982857 | − | 0.184369i | \(-0.940976\pi\) |
0.331761 | − | 0.943364i | \(-0.392357\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 444.154 | − | 769.297i | 0.0574471 | − | 0.0995014i | ||||
\(392\) | −4723.43 | + | 1265.64i | −0.608595 | + | 0.163073i | ||||
\(393\) | −138.276 | + | 8491.02i | −0.0177483 | + | 1.08986i | ||||
\(394\) | −14431.1 | + | 8331.78i | −1.84524 | + | 1.06535i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1468.78 | + | 2362.82i | −0.186386 | + | 0.299839i | ||||
\(397\) | −1248.70 | + | 1248.70i | −0.157860 | + | 0.157860i | −0.781618 | − | 0.623758i | \(-0.785605\pi\) |
0.623758 | + | 0.781618i | \(0.285605\pi\) | |||||||
\(398\) | −16274.9 | − | 4360.85i | −2.04972 | − | 0.549220i | ||||
\(399\) | 3973.44 | − | 995.628i | 0.498548 | − | 0.124922i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7999.65 | + | 4618.60i | 0.996218 | + | 0.575166i | 0.907127 | − | 0.420857i | \(-0.138271\pi\) |
0.0890905 | + | 0.996024i | \(0.471604\pi\) | |||||||
\(402\) | 199.549 | + | 359.005i | 0.0247577 | + | 0.0445412i | ||||
\(403\) | 6247.40 | − | 23315.6i | 0.772221 | − | 2.88197i | ||||
\(404\) | 13091.8 | 1.61224 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −5611.47 | −0.685942 | ||||||||
\(407\) | −101.271 | + | 377.950i | −0.0123338 | + | 0.0460302i | ||||
\(408\) | 358.403 | + | 644.797i | 0.0434892 | + | 0.0782407i | ||||
\(409\) | 2817.50 | + | 1626.68i | 0.340626 | + | 0.196661i | 0.660549 | − | 0.750783i | \(-0.270324\pi\) |
−0.319923 | + | 0.947444i | \(0.603657\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11528.6 | + | 2888.73i | −1.38361 | + | 0.346692i | ||||
\(412\) | −3264.75 | − | 874.787i | −0.390395 | − | 0.104606i | ||||
\(413\) | −265.796 | + | 265.796i | −0.0316681 | + | 0.0316681i | ||||
\(414\) | −6729.89 | + | 10826.3i | −0.798927 | + | 1.28523i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −14571.3 | + | 8412.77i | −1.71735 | + | 0.991514i | ||||
\(417\) | 185.152 | − | 11369.6i | 0.0217433 | − | 1.33518i | ||||
\(418\) | −4003.20 | + | 1072.65i | −0.468428 | + | 0.125515i | ||||
\(419\) | −1840.03 | + | 3187.02i | −0.214537 | + | 0.371590i | −0.953129 | − | 0.302563i | \(-0.902158\pi\) |
0.738592 | + | 0.674153i | \(0.235491\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3430.26 | − | 5941.39i | −0.397104 | − | 0.687804i | 0.596263 | − | 0.802789i | \(-0.296651\pi\) |
−0.993367 | + | 0.114985i | \(0.963318\pi\) | |||||||
\(422\) | 4260.56 | + | 4260.56i | 0.491472 | + | 0.491472i | ||||
\(423\) | 4350.28 | + | 4643.28i | 0.500043 | + | 0.533721i | ||||
\(424\) | − | 1451.80i | − | 0.166287i | ||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −616.030 | − | 2458.50i | −0.0700628 | − | 0.279613i | ||||
\(427\) | −138.106 | − | 515.419i | −0.0156520 | − | 0.0584142i | ||||
\(428\) | −3734.74 | − | 13938.3i | −0.421789 | − | 1.57414i | ||||
\(429\) | 3330.28 | + | 950.728i | 0.374796 | + | 0.106997i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3116.28i | 0.348273i | 0.984722 | + | 0.174137i | \(0.0557134\pi\) | ||||
−0.984722 | + | 0.174137i | \(0.944287\pi\) | |||||||
\(432\) | 1219.52 | + | 2372.82i | 0.135820 | + | 0.264264i | ||||
\(433\) | −526.507 | − | 526.507i | −0.0584349 | − | 0.0584349i | 0.677285 | − | 0.735720i | \(-0.263156\pi\) |
−0.735720 | + | 0.677285i | \(0.763156\pi\) | |||||||
\(434\) | −5194.66 | − | 8997.41i | −0.574543 | − | 0.995137i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5849.77 | − | 10132.1i | 0.642554 | − | 1.11294i | ||||
\(437\) | −10934.8 | + | 2929.98i | −1.19699 | + | 0.320732i | ||||
\(438\) | −4048.77 | − | 2426.31i | −0.441685 | − | 0.264688i | ||||
\(439\) | 3213.40 | − | 1855.26i | 0.349356 | − | 0.201701i | −0.315046 | − | 0.949076i | \(-0.602020\pi\) |
0.664401 | + | 0.747376i | \(0.268687\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6867.52 | − | 3672.16i | 0.741553 | − | 0.396519i | ||||
\(442\) | 2013.13 | − | 2013.13i | 0.216640 | − | 0.216640i | ||||
\(443\) | 1898.77 | + | 508.773i | 0.203641 | + | 0.0545655i | 0.359198 | − | 0.933261i | \(-0.383050\pi\) |
−0.155556 | + | 0.987827i | \(0.549717\pi\) | |||||||
\(444\) | −1913.81 | − | 1977.17i | −0.204562 | − | 0.211335i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −7568.16 | − | 4369.48i | −0.803504 | − | 0.463903i | ||||
\(447\) | 3236.05 | + | 52.6987i | 0.342415 | + | 0.00557621i | ||||
\(448\) | −1583.49 | + | 5909.67i | −0.166993 | + | 0.623226i | ||||
\(449\) | −6556.48 | −0.689131 | −0.344565 | − | 0.938762i | \(-0.611974\pi\) | ||||
−0.344565 | + | 0.938762i | \(0.611974\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3005.20 | −0.313768 | ||||||||
\(452\) | −231.602 | + | 864.350i | −0.0241010 | + | 0.0899460i | ||||
\(453\) | 5390.20 | − | 8994.62i | 0.559059 | − | 0.932901i | ||||
\(454\) | 12164.2 | + | 7023.01i | 1.25748 | + | 0.726005i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2580.79 | − | 9040.18i | 0.265036 | − | 0.928389i | ||||
\(457\) | −12355.7 | − | 3310.69i | −1.26471 | − | 0.338879i | −0.436710 | − | 0.899603i | \(-0.643856\pi\) |
−0.828003 | + | 0.560724i | \(0.810523\pi\) | |||||||
\(458\) | −12556.4 | + | 12556.4i | −1.28105 | + | 1.28105i | ||||
\(459\) | −789.180 | − | 870.311i | −0.0802522 | − | 0.0885025i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1996.02 | + | 1152.40i | −0.201657 | + | 0.116427i | −0.597428 | − | 0.801922i | \(-0.703811\pi\) |
0.395771 | + | 0.918349i | \(0.370477\pi\) | |||||||
\(462\) | 1302.91 | − | 724.210i | 0.131206 | − | 0.0729292i | ||||
\(463\) | 1195.40 | − | 320.306i | 0.119989 | − | 0.0321509i | −0.198325 | − | 0.980136i | \(-0.563550\pi\) |
0.318314 | + | 0.947985i | \(0.396883\pi\) | |||||||
\(464\) | 1622.78 | − | 2810.74i | 0.162362 | − | 0.281219i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6817.95 | + | 11809.0i | 0.677759 | + | 1.17391i | ||||
\(467\) | −3769.54 | − | 3769.54i | −0.373519 | − | 0.373519i | 0.495238 | − | 0.868757i | \(-0.335081\pi\) |
−0.868757 | + | 0.495238i | \(0.835081\pi\) | |||||||
\(468\) | −17773.9 | + | 16652.3i | −1.75555 | + | 1.64478i | ||||
\(469\) | − | 131.195i | − | 0.0129169i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2631.83 | − | 2547.49i | 0.257470 | − | 0.249219i | ||||
\(472\) | 223.285 | + | 833.312i | 0.0217744 | + | 0.0812633i | ||||
\(473\) | −1008.19 | − | 3762.63i | −0.0980058 | − | 0.365763i | ||||
\(474\) | 2698.28 | − | 2611.80i | 0.261468 | − | 0.253089i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | − | 730.507i | − | 0.0703419i | ||||||
\(477\) | 525.369 | + | 2251.58i | 0.0504298 | + | 0.216127i | ||||
\(478\) | −12248.8 | − | 12248.8i | −1.17207 | − | 1.17207i | ||||
\(479\) | −1205.53 | − | 2088.04i | −0.114994 | − | 0.199175i | 0.802783 | − | 0.596271i | \(-0.203352\pi\) |
−0.917777 | + | 0.397096i | \(0.870018\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1712.73 | + | 2966.53i | −0.162357 | + | 0.281210i | ||||
\(482\) | 28302.4 | − | 7583.60i | 2.67456 | − | 0.716646i | ||||
\(483\) | 3558.93 | − | 1978.19i | 0.335273 | − | 0.186358i | ||||
\(484\) | 12833.6 | − | 7409.49i | 1.20526 | − | 0.695858i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 10912.4 | + | 12851.5i | 1.01851 | + | 1.19950i | ||||
\(487\) | 13278.0 | − | 13278.0i | 1.23549 | − | 1.23549i | 0.273666 | − | 0.961825i | \(-0.411764\pi\) |
0.961825 | − | 0.273666i | \(-0.0882362\pi\) | |||||||
\(488\) | −1182.94 | − | 316.967i | −0.109732 | − | 0.0294025i | ||||
\(489\) | −860.207 | + | 3013.20i | −0.0795499 | + | 0.278653i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4882.30 | − | 2818.80i | −0.448748 | − | 0.259085i | 0.258553 | − | 0.965997i | \(-0.416754\pi\) |
−0.707301 | + | 0.706912i | \(0.750088\pi\) | |||||||
\(492\) | 10863.7 | − | 18128.2i | 0.995474 | − | 1.66115i | ||||
\(493\) | −369.915 | + | 1380.54i | −0.0337934 | + | 0.126119i | ||||
\(494\) | −36282.0 | −3.30446 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6008.99 | 0.543975 | ||||||||
\(497\) | −209.529 | + | 781.973i | −0.0189108 | + | 0.0705760i | ||||
\(498\) | 6699.70 | + | 109.104i | 0.602853 | + | 0.00981741i | ||||
\(499\) | 5518.24 | + | 3185.96i | 0.495051 | + | 0.285818i | 0.726667 | − | 0.686990i | \(-0.241068\pi\) |
−0.231617 | + | 0.972807i | \(0.574402\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2295.27 | − | 2371.26i | −0.204680 | − | 0.211457i | ||||
\(502\) | −27184.0 | − | 7283.92i | −2.41689 | − | 0.647604i | ||||
\(503\) | −5861.56 | + | 5861.56i | −0.519591 | + | 0.519591i | −0.917448 | − | 0.397857i | \(-0.869754\pi\) |
0.397857 | + | 0.917448i | \(0.369754\pi\) | |||||||
\(504\) | −110.104 | + | 3379.67i | −0.00973104 | + | 0.298695i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −3567.69 | + | 2059.81i | −0.313445 | + | 0.180968i | ||||
\(507\) | 16214.8 | + | 9717.06i | 1.42037 | + | 0.851183i | ||||
\(508\) | 17489.6 | − | 4686.33i | 1.52751 | − | 0.409296i | ||||
\(509\) | −10716.8 | + | 18562.0i | −0.933228 | + | 1.61640i | −0.155465 | + | 0.987841i | \(0.549688\pi\) |
−0.777763 | + | 0.628557i | \(0.783646\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 753.837 | + | 1305.68i | 0.0652598 | + | 0.113033i | ||||
\(512\) | −4785.52 | − | 4785.52i | −0.413070 | − | 0.413070i | ||||
\(513\) | −731.103 | + | 14954.3i | −0.0629220 | + | 1.28703i | ||||
\(514\) | 6281.10i | 0.539003i | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 26341.8 | + | 7520.05i | 2.24735 | + | 0.641573i | ||||
\(517\) | 532.196 | + | 1986.18i | 0.0452727 | + | 0.168960i | ||||
\(518\) | 381.591 | + | 1424.12i | 0.0323671 | + | 0.120796i | ||||
\(519\) | −897.886 | − | 3583.36i | −0.0759399 | − | 0.303068i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 18398.8i | − | 1.54715i | −0.633703 | − | 0.773577i | \(-0.718466\pi\) | ||
0.633703 | − | 0.773577i | \(-0.281534\pi\) | |||||||
\(522\) | 5950.70 | − | 19628.0i | 0.498956 | − | 1.64577i | ||||
\(523\) | 12039.3 | + | 12039.3i | 1.00658 | + | 1.00658i | 0.999978 | + | 0.00659910i | \(0.00210057\pi\) |
0.00659910 | + | 0.999978i | \(0.497899\pi\) | |||||||
\(524\) | −9649.99 | − | 16714.3i | −0.804508 | − | 1.39345i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 731.060 | − | 1266.23i | 0.0606003 | − | 0.104963i | ||||
\(527\) | −2555.99 | + | 684.877i | −0.211273 | + | 0.0566104i | ||||
\(528\) | −14.0385 | + | 862.054i | −0.00115709 | + | 0.0710532i | ||||
\(529\) | 791.700 | − | 457.088i | 0.0650695 | − | 0.0375679i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −647.846 | − | 1211.57i | −0.0529456 | − | 0.0990166i | ||||
\(532\) | −6582.85 | + | 6582.85i | −0.536471 | + | 0.536471i | ||||
\(533\) | −25412.4 | − | 6809.22i | −2.06516 | − | 0.553359i | ||||
\(534\) | 24853.5 | − | 6227.57i | 2.01408 | − | 0.504669i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −260.765 | − | 150.553i | −0.0210137 | − | 0.0121322i | ||||
\(537\) | 6792.12 | + | 12219.6i | 0.545813 | + | 0.981962i | ||||
\(538\) | −880.343 | + | 3285.49i | −0.0705470 | + | 0.263285i | ||||
\(539\) | 2516.72 | 0.201119 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11737.9 | 0.932811 | 0.466405 | − | 0.884571i | \(-0.345549\pi\) | ||||
0.466405 | + | 0.884571i | \(0.345549\pi\) | |||||||
\(542\) | −5350.86 | + | 19969.7i | −0.424058 | + | 1.58260i | ||||
\(543\) | 498.431 | + | 896.719i | 0.0393918 | + | 0.0708690i | ||||
\(544\) | 1597.40 | + | 922.257i | 0.125897 | + | 0.0726865i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 12658.5 | − | 3171.85i | 0.992187 | − | 0.248613i | ||||
\(547\) | 8392.40 | + | 2248.74i | 0.656002 | + | 0.175775i | 0.571441 | − | 0.820643i | \(-0.306385\pi\) |
0.0845610 | + | 0.996418i | \(0.473051\pi\) | |||||||
\(548\) | 19099.6 | − | 19099.6i | 1.48886 | − | 1.48886i | ||||
\(549\) | 1949.31 | + | 63.5054i | 0.151538 | + | 0.00493687i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 15774.0 | − | 9107.10i | 1.21959 | − | 0.704130i | ||||
\(552\) | 152.164 | − | 9343.85i | 0.0117328 | − | 0.720472i | ||||
\(553\) | −1158.62 | + | 310.452i | −0.0890951 | + | 0.0238730i | ||||
\(554\) | 13325.1 | − | 23079.8i | 1.02189 | − | 1.76997i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 12921.4 | + | 22380.6i | 0.985595 | + | 1.70710i | ||||
\(557\) | 3736.22 | + | 3736.22i | 0.284217 | + | 0.284217i | 0.834788 | − | 0.550571i | \(-0.185590\pi\) |
−0.550571 | + | 0.834788i | \(0.685590\pi\) | |||||||
\(558\) | 36980.2 | − | 8628.73i | 2.80555 | − | 0.654629i | ||||
\(559\) | − | 34101.6i | − | 2.58022i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −92.2815 | − | 368.285i | −0.00694497 | − | 0.0277166i | ||||
\(562\) | 5588.10 | + | 20855.1i | 0.419430 | + | 1.56533i | ||||
\(563\) | 2537.76 | + | 9471.07i | 0.189972 | + | 0.708984i | 0.993511 | + | 0.113733i | \(0.0362807\pi\) |
−0.803540 | + | 0.595251i | \(0.797053\pi\) | |||||||
\(564\) | −13905.1 | − | 3969.62i | −1.03814 | − | 0.296367i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 1592.12i | 0.118236i | ||||||||
\(567\) | −1052.26 | − | 5281.34i | −0.0779377 | − | 0.391174i | ||||
\(568\) | 1313.81 | + | 1313.81i | 0.0970536 | + | 0.0970536i | ||||
\(569\) | 5188.49 | + | 8986.72i | 0.382272 | + | 0.662114i | 0.991387 | − | 0.130968i | \(-0.0418084\pi\) |
−0.609115 | + | 0.793082i | \(0.708475\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2372.48 | − | 4109.26i | 0.173880 | − | 0.301168i | −0.765893 | − | 0.642968i | \(-0.777703\pi\) |
0.939773 | + | 0.341799i | \(0.111036\pi\) | |||||||
\(572\) | −7602.86 | + | 2037.18i | −0.555755 | + | 0.148914i | ||||
\(573\) | 1575.30 | + | 944.030i | 0.114850 | + | 0.0688262i | ||||
\(574\) | −9806.54 | + | 5661.81i | −0.713096 | + | 0.411706i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −18991.8 | − | 11805.7i | −1.37383 | − | 0.854002i | ||||
\(577\) | −2575.02 | + | 2575.02i | −0.185788 | + | 0.185788i | −0.793872 | − | 0.608085i | \(-0.791938\pi\) |
0.608085 | + | 0.793872i | \(0.291938\pi\) | |||||||
\(578\) | 20820.0 | + | 5578.70i | 1.49827 | + | 0.401459i | ||||
\(579\) | −5191.53 | − | 5363.42i | −0.372630 | − | 0.384967i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1853.52 | − | 1070.13i | −0.132353 | − | 0.0764140i | ||||
\(582\) | −4733.42 | − | 77.0834i | −0.337125 | − | 0.00549005i | ||||
\(583\) | −193.385 | + | 721.724i | −0.0137379 | + | 0.0512706i | ||||
\(584\) | 3460.26 | 0.245182 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −37937.8 | −2.67439 | ||||||||
\(587\) | 2355.29 | − | 8790.07i | 0.165610 | − | 0.618067i | −0.832351 | − | 0.554249i | \(-0.813006\pi\) |
0.997962 | − | 0.0638179i | \(-0.0203277\pi\) | |||||||
\(588\) | −9097.86 | + | 15181.6i | −0.638077 | + | 1.06476i | ||||
\(589\) | 29204.6 | + | 16861.3i | 2.04305 | + | 1.17955i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −5340.45 | + | 18706.9i | −0.371704 | + | 1.30203i | ||||
\(592\) | −823.683 | − | 220.705i | −0.0571844 | − | 0.0153225i | ||||
\(593\) | 9619.29 | − | 9619.29i | 0.666133 | − | 0.666133i | −0.290686 | − | 0.956819i | \(-0.593883\pi\) |
0.956819 | + | 0.290686i | \(0.0938833\pi\) | |||||||
\(594\) | 1151.49 | + | 5325.36i | 0.0795390 | + | 0.367849i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −6370.05 | + | 3677.75i | −0.437797 | + | 0.252762i | ||||
\(597\) | −17193.3 | + | 9556.73i | −1.17869 | + | 0.655161i | ||||
\(598\) | −34836.0 | + | 9334.27i | −2.38219 | + | 0.638306i | ||||
\(599\) | 339.119 | − | 587.372i | 0.0231320 | − | 0.0400657i | −0.854228 | − | 0.519899i | \(-0.825970\pi\) |
0.877360 | + | 0.479833i | \(0.159303\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4560.19 | − | 7898.48i | −0.309508 | − | 0.536083i | 0.668747 | − | 0.743490i | \(-0.266831\pi\) |
−0.978255 | + | 0.207407i | \(0.933498\pi\) | |||||||
\(602\) | −10378.7 | − | 10378.7i | −0.702666 | − | 0.702666i | ||||
\(603\) | 458.899 | + | 139.126i | 0.0309914 | + | 0.00939579i | ||||
\(604\) | 23831.5i | 1.60545i | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 18422.0 | − | 17831.6i | 1.23489 | − | 1.19532i | ||||
\(607\) | 3566.69 | + | 13311.1i | 0.238497 | + | 0.890082i | 0.976541 | + | 0.215330i | \(0.0690827\pi\) |
−0.738045 | + | 0.674752i | \(0.764251\pi\) | |||||||
\(608\) | −6083.91 | − | 22705.5i | −0.405815 | − | 1.51452i | ||||
\(609\) | −4707.25 | + | 4556.39i | −0.313214 | + | 0.303176i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 18001.3i | 1.19190i | ||||||||
\(612\) | 2555.19 | + | 774.669i | 0.168771 | + | 0.0511669i | ||||
\(613\) | −7501.39 | − | 7501.39i | −0.494255 | − | 0.494255i | 0.415389 | − | 0.909644i | \(-0.363645\pi\) |
−0.909644 | + | 0.415389i | \(0.863645\pi\) | |||||||
\(614\) | 19635.2 | + | 34009.2i | 1.29057 | + | 2.23534i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −546.390 | + | 946.376i | −0.0357381 | + | 0.0619003i | ||||
\(617\) | −21447.4 | + | 5746.81i | −1.39942 | + | 0.374972i | −0.878135 | − | 0.478413i | \(-0.841212\pi\) |
−0.521281 | + | 0.853385i | \(0.674546\pi\) | |||||||
\(618\) | −5785.46 | + | 3215.78i | −0.376578 | + | 0.209317i | ||||
\(619\) | 6003.77 | − | 3466.28i | 0.389841 | − | 0.225075i | −0.292250 | − | 0.956342i | \(-0.594404\pi\) |
0.682091 | + | 0.731267i | \(0.261071\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3145.32 | + | 14546.3i | 0.203248 | + | 0.939976i | ||||
\(622\) | 7206.69 | − | 7206.69i | 0.464569 | − | 0.464569i | ||||
\(623\) | −7905.13 | − | 2118.17i | −0.508366 | − | 0.136216i | ||||
\(624\) | −2071.96 | + | 7257.82i | −0.132924 | + | 0.465618i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −23588.8 | − | 13619.0i | −1.50607 | − | 0.869529i | ||||
\(627\) | −2487.16 | + | 4150.33i | −0.158417 | + | 0.264351i | ||||
\(628\) | −2154.52 | + | 8040.79i | −0.136903 | + | 0.510928i | ||||
\(629\) | 375.519 | 0.0238043 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5174.87 | 0.326479 | 0.163239 | − | 0.986586i | \(-0.447806\pi\) | ||||
0.163239 | + | 0.986586i | \(0.447806\pi\) | |||||||
\(632\) | −712.516 | + | 2659.15i | −0.0448455 | + | 0.167366i | ||||
\(633\) | 7033.52 | + | 114.540i | 0.441639 | + | 0.00719205i | ||||
\(634\) | −34660.5 | − | 20011.2i | −2.17120 | − | 1.25354i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −3654.56 | − | 3775.56i | −0.227850 | − | 0.235394i | ||||
\(637\) | 21281.7 | + | 5702.42i | 1.32372 | + | 0.354691i | ||||
\(638\) | 4686.88 | − | 4686.88i | 0.290839 | − | 0.290839i | ||||
\(639\) | −2513.02 | − | 1562.15i | −0.155577 | − | 0.0967097i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1800.01 | − | 1039.24i | 0.110914 | − | 0.0640365i | −0.443517 | − | 0.896266i | \(-0.646269\pi\) |
0.554431 | + | 0.832230i | \(0.312936\pi\) | |||||||
\(642\) | −24239.8 | − | 14526.2i | −1.49014 | − | 0.892995i | ||||
\(643\) | −8982.29 | + | 2406.80i | −0.550898 | + | 0.147613i | −0.523521 | − | 0.852013i | \(-0.675382\pi\) |
−0.0273763 | + | 0.999625i | \(0.508715\pi\) | |||||||
\(644\) | −4626.92 | + | 8014.06i | −0.283115 | + | 0.490370i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1988.72 | + | 3444.57i | 0.121123 | + | 0.209791i | ||||
\(647\) | 12361.4 | + | 12361.4i | 0.751125 | + | 0.751125i | 0.974689 | − | 0.223564i | \(-0.0717691\pi\) |
−0.223564 | + | 0.974689i | \(0.571769\pi\) | |||||||
\(648\) | −11704.8 | − | 3969.11i | −0.709578 | − | 0.240619i | ||||
\(649\) | − | 444.002i | − | 0.0268546i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −11663.3 | − | 3329.64i | −0.702184 | − | 0.200459i | ||||
\(652\) | −1843.22 | − | 6878.98i | −0.110715 | − | 0.413192i | ||||
\(653\) | 7383.03 | + | 27553.8i | 0.442450 | + | 1.65125i | 0.722581 | + | 0.691286i | \(0.242955\pi\) |
−0.280131 | + | 0.959962i | \(0.590378\pi\) | |||||||
\(654\) | −5568.92 | − | 22224.9i | −0.332969 | − | 1.32884i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | − | 6549.37i | − | 0.389802i | ||||||
\(657\) | −5366.48 | + | 1252.18i | −0.318670 | + | 0.0743565i | ||||
\(658\) | 5478.63 | + | 5478.63i | 0.324589 | + | 0.324589i | ||||
\(659\) | 5594.17 | + | 9689.39i | 0.330680 | + | 0.572754i | 0.982645 | − | 0.185494i | \(-0.0593887\pi\) |
−0.651966 | + | 0.758249i | \(0.726055\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12520.6 | + | 21686.4i | −0.736757 | + | 1.27610i | 0.217190 | + | 0.976129i | \(0.430311\pi\) |
−0.953948 | + | 0.299972i | \(0.903023\pi\) | |||||||
\(662\) | −3164.29 | + | 847.869i | −0.185776 | + | 0.0497785i | ||||
\(663\) | 54.1206 | − | 3323.36i | 0.00317024 | − | 0.194673i | ||||
\(664\) | −4254.01 | + | 2456.06i | −0.248626 | + | 0.143544i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5385.99 | − | 175.467i | −0.313368 | − | 0.0102090i | ||||
\(667\) | 12802.3 | − | 12802.3i | 0.743190 | − | 0.743190i | ||||
\(668\) | 7244.69 | + | 1941.21i | 0.419619 | + | 0.112437i | ||||
\(669\) | −9896.58 | + | 2479.79i | −0.571934 | + | 0.143310i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 545.845 | + | 315.144i | 0.0314040 | + | 0.0181311i | ||||
\(672\) | 4107.59 | + | 7389.90i | 0.235794 | + | 0.424213i | ||||
\(673\) | 4660.65 | − | 17393.8i | 0.266946 | − | 0.996257i | −0.694102 | − | 0.719877i | \(-0.744198\pi\) |
0.961048 | − | 0.276381i | \(-0.0891350\pi\) | |||||||
\(674\) | 20093.3 | 1.14832 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −42961.7 | −2.44434 | ||||||||
\(677\) | 5566.38 | − | 20774.0i | 0.316002 | − | 1.17934i | −0.607051 | − | 0.794663i | \(-0.707648\pi\) |
0.923053 | − | 0.384673i | \(-0.125686\pi\) | |||||||
\(678\) | 851.386 | + | 1531.71i | 0.0482261 | + | 0.0867626i | ||||
\(679\) | 1309.54 | + | 756.062i | 0.0740139 | + | 0.0427319i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 15906.6 | − | 3985.74i | 0.895072 | − | 0.224279i | ||||
\(682\) | 11853.7 | + | 3176.18i | 0.665544 | + | 0.178332i | ||||
\(683\) | 4348.95 | − | 4348.95i | 0.243643 | − | 0.243643i | −0.574713 | − | 0.818355i | \(-0.694886\pi\) |
0.818355 | + | 0.574713i | \(0.194886\pi\) | |||||||
\(684\) | −16044.9 | − | 30006.5i | −0.896920 | − | 1.67738i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 17978.8 | − | 10380.1i | 1.00063 | − | 0.577715i | ||||
\(687\) | −337.564 | + | 20728.6i | −0.0187465 | + | 1.15116i | ||||
\(688\) | 8200.05 | − | 2197.20i | 0.454395 | − | 0.121755i | ||||
\(689\) | −3270.58 | + | 5664.81i | −0.180841 | + | 0.313225i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7927.92 | + | 13731.6i | 0.436458 | + | 0.755967i | 0.997413 | − | 0.0718787i | \(-0.0228994\pi\) |
−0.560955 | + | 0.827846i | \(0.689566\pi\) | |||||||
\(692\) | 5936.61 | + | 5936.61i | 0.326121 | + | 0.326121i | ||||
\(693\) | 504.921 | − | 1665.45i | 0.0276773 | − | 0.0912918i | ||||
\(694\) | 18107.7i | 0.990429i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 3654.54 | + | 14584.9i | 0.199030 | + | 0.794308i | ||||
\(697\) | 746.467 | + | 2785.85i | 0.0405659 | + | 0.151394i | ||||
\(698\) | −2820.56 | − | 10526.5i | −0.152951 | − | 0.570820i | ||||
\(699\) | 15308.0 | + | 4370.13i | 0.828330 | + | 0.236471i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 21918.5i | − | 1.18096i | −0.807054 | − | 0.590478i | \(-0.798939\pi\) | ||
0.807054 | − | 0.590478i | \(-0.201061\pi\) | |||||||
\(702\) | −2329.14 | + | 47641.0i | −0.125224 | + | 2.56139i | ||||
\(703\) | −3383.93 | − | 3383.93i | −0.181547 | − | 0.181547i | ||||
\(704\) | −3613.36 | − | 6258.53i | −0.193443 | − | 0.335053i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −24185.9 | + | 41891.2i | −1.28930 | + | 2.23314i | ||||
\(707\) | −7910.29 | + | 2119.56i | −0.420788 | + | 0.112750i | ||||
\(708\) | 2678.35 | + | 1605.05i | 0.142173 | + | 0.0851999i | ||||
\(709\) | −25661.5 | + | 14815.7i | −1.35929 | + | 0.784787i | −0.989528 | − | 0.144338i | \(-0.953895\pi\) |
−0.369763 | + | 0.929126i | \(0.620561\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 142.755 | − | 4381.89i | 0.00752987 | − | 0.231130i | ||||
\(712\) | −13281.6 | + | 13281.6i | −0.699087 | + | 0.699087i | ||||
\(713\) | 32378.6 | + | 8675.82i | 1.70068 | + | 0.455697i | ||||
\(714\) | −994.982 | − | 1027.92i | −0.0521516 | − | 0.0538783i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −27516.2 | − | 15886.5i | −1.43622 | − | 0.829199i | ||||
\(717\) | −20220.8 | − | 329.295i | −1.05322 | − | 0.0171517i | ||||
\(718\) | −7981.37 | + | 29786.9i | −0.414850 | + | 1.54824i | ||||
\(719\) | 5855.14 | 0.303700 | 0.151850 | − | 0.988404i | \(-0.451477\pi\) | ||||
0.151850 | + | 0.988404i | \(0.451477\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2114.24 | 0.109207 | ||||||||
\(722\) | 5217.97 | − | 19473.7i | 0.268965 | − | 1.00379i | ||||
\(723\) | 17584.1 | − | 29342.5i | 0.904508 | − | 1.50935i | ||||
\(724\) | −2019.25 | − | 1165.81i | −0.103653 | − | 0.0598440i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 7966.64 | − | 27906.1i | 0.407258 | − | 1.42658i | ||||
\(727\) | −17456.9 | − | 4677.55i | −0.890563 | − | 0.238626i | −0.215604 | − | 0.976481i | \(-0.569172\pi\) |
−0.674959 | + | 0.737855i | \(0.735839\pi\) | |||||||
\(728\) | −6764.65 | + | 6764.65i | −0.344388 | + | 0.344388i | ||||
\(729\) | 19589.1 | + | 1919.99i | 0.995231 | + | 0.0975455i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3237.56 | + | 1869.21i | −0.163811 | + | 0.0945762i | ||||
\(732\) | −3874.25 | + | 2153.46i | −0.195623 | + | 0.108735i | ||||
\(733\) | −35884.0 | + | 9615.09i | −1.80819 | + | 0.484504i | −0.995208 | − | 0.0977795i | \(-0.968826\pi\) |
−0.812986 | + | 0.582284i | \(0.802159\pi\) | |||||||
\(734\) | −20929.9 | + | 36251.7i | −1.05250 | + | 1.82299i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11682.9 | − | 20235.3i | −0.585104 | − | 1.01343i | ||||
\(737\) | 109.578 | + | 109.578i | 0.00547676 | + | 0.00547676i | ||||
\(738\) | −9404.70 | − | 40305.8i | −0.469095 | − | 2.01040i | ||||
\(739\) | 16862.4i | 0.839371i | 0.907670 | + | 0.419686i | \(0.137860\pi\) | ||||
−0.907670 | + | 0.419686i | \(0.862140\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −30435.6 | + | 29460.2i | −1.50888 | + | 1.46052i | ||||
\(742\) | 728.677 | + | 2719.46i | 0.0360520 | + | 0.134548i | ||||
\(743\) | 2026.03 | + | 7561.26i | 0.100038 | + | 0.373345i | 0.997735 | − | 0.0672671i | \(-0.0214280\pi\) |
−0.897697 | + | 0.440613i | \(0.854761\pi\) | |||||||
\(744\) | −20002.3 | + | 19361.2i | −0.985643 | + | 0.954055i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 25811.4i | 1.26678i | ||||||||
\(747\) | 5708.72 | − | 5348.49i | 0.279613 | − | 0.261969i | ||||
\(748\) | 610.143 | + | 610.143i | 0.0298249 | + | 0.0298249i | ||||
\(749\) | 4513.18 | + | 7817.06i | 0.220171 | + | 0.381347i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9768.62 | − | 16919.7i | 0.474650 | − | 0.822117i | −0.524929 | − | 0.851146i | \(-0.675908\pi\) |
0.999579 | + | 0.0290288i | \(0.00924145\pi\) | |||||||
\(752\) | −4328.57 | + | 1159.84i | −0.209903 | + | 0.0562433i | ||||
\(753\) | −28718.0 | + | 15962.6i | −1.38983 | + | 0.772523i | ||||
\(754\) | 50252.4 | − | 29013.2i | 2.42717 | − | 1.40133i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 8221.19 | + | 9066.37i | 0.395505 | + | 0.436165i | ||||
\(757\) | −10039.5 | + | 10039.5i | −0.482024 | + | 0.482024i | −0.905777 | − | 0.423754i | \(-0.860712\pi\) |
0.423754 | + | 0.905777i | \(0.360712\pi\) | |||||||
\(758\) | 28448.5 | + | 7622.74i | 1.36319 | + | 0.365265i | ||||
\(759\) | −1320.28 | + | 4624.79i | −0.0631400 | + | 0.221172i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20084.8 | − | 11595.9i | −0.956731 | − | 0.552369i | −0.0615654 | − | 0.998103i | \(-0.519609\pi\) |
−0.895165 | + | 0.445734i | \(0.852943\pi\) | |||||||
\(762\) | 18227.3 | − | 30415.9i | 0.866545 | − | 1.44600i | ||||
\(763\) | −1894.15 | + | 7069.05i | −0.0898725 | + | 0.335409i | ||||
\(764\) | −4173.81 | −0.197648 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 55350.5 | 2.61083 | ||||||||
\(767\) | 1006.02 | − | 3754.54i | 0.0473604 | − | 0.176752i | ||||
\(768\) | 10068.2 | + | 163.960i | 0.473054 | + | 0.00770364i | ||||
\(769\) | −30950.8 | − | 17869.4i | −1.45138 | − | 0.837956i | −0.452822 | − | 0.891601i | \(-0.649583\pi\) |
−0.998560 | + | 0.0536450i | \(0.982916\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5100.12 | + | 5268.98i | 0.238231 | + | 0.246119i | ||||
\(772\) | 16386.4 | + | 4390.71i | 0.763935 | + | 0.204696i | ||||
\(773\) | −7858.61 | + | 7858.61i | −0.365659 | + | 0.365659i | −0.865891 | − | 0.500232i | \(-0.833248\pi\) |
0.500232 | + | 0.865891i | \(0.333248\pi\) | |||||||
\(774\) | 47309.2 | − | 25296.9i | 2.19702 | − | 1.17478i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 3005.51 | − | 1735.23i | 0.139036 | − | 0.0802723i | ||||
\(777\) | 1476.46 | + | 884.796i | 0.0681694 | + | 0.0408518i | ||||
\(778\) | 42951.4 | − | 11508.8i | 1.97928 | − | 0.530347i | ||||
\(779\) | 18377.6 | − | 31 |