Properties

Label 177.4.f.a.2.14
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.14
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.191601 + 3.53386i) q^{2} +(-0.887175 + 5.11986i) q^{3} +(-4.49838 - 0.489228i) q^{4} +(2.01755 - 5.98787i) q^{5} +(-17.9229 - 4.11612i) q^{6} +(16.3407 + 24.1007i) q^{7} +(-1.98968 + 12.1365i) q^{8} +(-25.4258 - 9.08442i) q^{9} +O(q^{10})\) \(q+(-0.191601 + 3.53386i) q^{2} +(-0.887175 + 5.11986i) q^{3} +(-4.49838 - 0.489228i) q^{4} +(2.01755 - 5.98787i) q^{5} +(-17.9229 - 4.11612i) q^{6} +(16.3407 + 24.1007i) q^{7} +(-1.98968 + 12.1365i) q^{8} +(-25.4258 - 9.08442i) q^{9} +(20.7738 + 8.27702i) q^{10} +(-40.8859 + 8.99967i) q^{11} +(6.49563 - 22.5970i) q^{12} +(8.51733 - 7.23469i) q^{13} +(-88.2996 + 53.1281i) q^{14} +(28.8671 + 15.6418i) q^{15} +(-77.8606 - 17.1384i) q^{16} +(-23.1396 - 15.6890i) q^{17} +(36.9747 - 88.1109i) q^{18} +(-26.4317 + 49.8555i) q^{19} +(-12.0051 + 25.9487i) q^{20} +(-137.889 + 62.2805i) q^{21} +(-23.9698 - 146.210i) q^{22} +(54.6255 - 51.7441i) q^{23} +(-60.3721 - 20.9541i) q^{24} +(67.7275 + 51.4851i) q^{25} +(23.9345 + 31.4853i) q^{26} +(69.0681 - 122.117i) q^{27} +(-61.7159 - 116.409i) q^{28} +(-29.1882 + 1.58254i) q^{29} +(-60.8071 + 99.0155i) q^{30} +(152.028 - 80.5999i) q^{31} +(49.1612 - 177.063i) q^{32} +(-9.80405 - 217.314i) q^{33} +(59.8765 - 78.7661i) q^{34} +(177.280 - 49.2216i) q^{35} +(109.931 + 53.3042i) q^{36} +(139.695 - 22.9018i) q^{37} +(-171.118 - 102.958i) q^{38} +(29.4842 + 50.0260i) q^{39} +(68.6577 + 36.4000i) q^{40} +(-214.851 + 226.815i) q^{41} +(-193.671 - 499.215i) q^{42} +(6.71486 - 30.5059i) q^{43} +(188.323 - 20.4814i) q^{44} +(-105.694 + 133.918i) q^{45} +(172.390 + 202.953i) q^{46} +(-242.442 + 81.6882i) q^{47} +(156.822 - 383.430i) q^{48} +(-186.870 + 469.007i) q^{49} +(-194.918 + 229.475i) q^{50} +(100.854 - 104.552i) q^{51} +(-41.8536 + 28.3775i) q^{52} +(-344.447 + 137.240i) q^{53} +(418.312 + 267.475i) q^{54} +(-28.6005 + 262.977i) q^{55} +(-325.012 + 150.367i) q^{56} +(-231.803 - 179.557i) q^{57} -103.450i q^{58} +(433.081 - 133.491i) q^{59} +(-122.203 - 84.4856i) q^{60} +(-392.130 - 21.2606i) q^{61} +(255.701 + 552.688i) q^{62} +(-196.535 - 761.227i) q^{63} +(11.8871 + 4.00523i) q^{64} +(-26.1362 - 65.5970i) q^{65} +(769.838 + 6.99134i) q^{66} +(308.653 + 50.6011i) q^{67} +(96.4151 + 81.8958i) q^{68} +(216.460 + 325.581i) q^{69} +(139.976 + 635.915i) q^{70} +(55.9132 + 165.944i) q^{71} +(160.843 - 290.507i) q^{72} +(452.410 + 751.911i) q^{73} +(54.1663 + 498.051i) q^{74} +(-323.683 + 301.079i) q^{75} +(143.290 - 211.338i) q^{76} +(-885.004 - 838.320i) q^{77} +(-182.434 + 94.6081i) q^{78} +(720.120 + 333.163i) q^{79} +(-259.710 + 431.641i) q^{80} +(563.947 + 461.958i) q^{81} +(-760.368 - 802.711i) q^{82} +(-55.4155 - 199.589i) q^{83} +(650.748 - 212.702i) q^{84} +(-140.629 + 106.904i) q^{85} +(106.517 + 29.5743i) q^{86} +(17.7927 - 150.843i) q^{87} +(-27.8748 - 514.120i) q^{88} +(25.0337 + 461.720i) q^{89} +(-452.998 - 399.168i) q^{90} +(313.541 + 87.0541i) q^{91} +(-271.041 + 206.040i) q^{92} +(277.785 + 849.866i) q^{93} +(-242.223 - 872.408i) q^{94} +(245.201 + 258.855i) q^{95} +(862.921 + 408.784i) q^{96} +(-732.057 + 1216.69i) q^{97} +(-1621.60 - 750.234i) q^{98} +(1121.32 + 142.600i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.191601 + 3.53386i −0.0677410 + 1.24941i 0.745111 + 0.666940i \(0.232396\pi\)
−0.812852 + 0.582470i \(0.802087\pi\)
\(3\) −0.887175 + 5.11986i −0.170737 + 0.985317i
\(4\) −4.49838 0.489228i −0.562297 0.0611535i
\(5\) 2.01755 5.98787i 0.180455 0.535571i −0.818803 0.574074i \(-0.805362\pi\)
0.999259 + 0.0385025i \(0.0122587\pi\)
\(6\) −17.9229 4.11612i −1.21950 0.280067i
\(7\) 16.3407 + 24.1007i 0.882315 + 1.30132i 0.952736 + 0.303800i \(0.0982556\pi\)
−0.0704204 + 0.997517i \(0.522434\pi\)
\(8\) −1.98968 + 12.1365i −0.0879324 + 0.536364i
\(9\) −25.4258 9.08442i −0.941698 0.336460i
\(10\) 20.7738 + 8.27702i 0.656924 + 0.261742i
\(11\) −40.8859 + 8.99967i −1.12069 + 0.246682i −0.736410 0.676535i \(-0.763481\pi\)
−0.384278 + 0.923217i \(0.625550\pi\)
\(12\) 6.49563 22.5970i 0.156261 0.543600i
\(13\) 8.51733 7.23469i 0.181714 0.154349i −0.551913 0.833902i \(-0.686102\pi\)
0.733627 + 0.679552i \(0.237826\pi\)
\(14\) −88.2996 + 53.1281i −1.68565 + 1.01422i
\(15\) 28.8671 + 15.6418i 0.496897 + 0.269247i
\(16\) −77.8606 17.1384i −1.21657 0.267788i
\(17\) −23.1396 15.6890i −0.330128 0.223832i 0.384850 0.922979i \(-0.374253\pi\)
−0.714978 + 0.699147i \(0.753563\pi\)
\(18\) 36.9747 88.1109i 0.484168 1.15377i
\(19\) −26.4317 + 49.8555i −0.319150 + 0.601980i −0.990236 0.139399i \(-0.955483\pi\)
0.671087 + 0.741379i \(0.265828\pi\)
\(20\) −12.0051 + 25.9487i −0.134221 + 0.290115i
\(21\) −137.889 + 62.2805i −1.43285 + 0.647177i
\(22\) −23.9698 146.210i −0.232290 1.41691i
\(23\) 54.6255 51.7441i 0.495227 0.469103i −0.398851 0.917016i \(-0.630591\pi\)
0.894078 + 0.447912i \(0.147832\pi\)
\(24\) −60.3721 20.9541i −0.513475 0.178218i
\(25\) 67.7275 + 51.4851i 0.541820 + 0.411881i
\(26\) 23.9345 + 31.4853i 0.180536 + 0.237491i
\(27\) 69.0681 122.117i 0.492302 0.870424i
\(28\) −61.7159 116.409i −0.416543 0.785684i
\(29\) −29.1882 + 1.58254i −0.186900 + 0.0101334i −0.147351 0.989084i \(-0.547075\pi\)
−0.0395488 + 0.999218i \(0.512592\pi\)
\(30\) −60.8071 + 99.0155i −0.370060 + 0.602589i
\(31\) 152.028 80.5999i 0.880805 0.466973i 0.0343357 0.999410i \(-0.489068\pi\)
0.846470 + 0.532437i \(0.178724\pi\)
\(32\) 49.1612 177.063i 0.271580 0.978143i
\(33\) −9.80405 217.314i −0.0517172 1.14635i
\(34\) 59.8765 78.7661i 0.302021 0.397302i
\(35\) 177.280 49.2216i 0.856167 0.237714i
\(36\) 109.931 + 53.3042i 0.508939 + 0.246779i
\(37\) 139.695 22.9018i 0.620694 0.101758i 0.156774 0.987635i \(-0.449891\pi\)
0.463920 + 0.885877i \(0.346442\pi\)
\(38\) −171.118 102.958i −0.730501 0.439528i
\(39\) 29.4842 + 50.0260i 0.121058 + 0.205399i
\(40\) 68.6577 + 36.4000i 0.271394 + 0.143884i
\(41\) −214.851 + 226.815i −0.818391 + 0.863965i −0.992686 0.120729i \(-0.961477\pi\)
0.174294 + 0.984694i \(0.444236\pi\)
\(42\) −193.671 499.215i −0.711526 1.83406i
\(43\) 6.71486 30.5059i 0.0238141 0.108189i −0.963214 0.268735i \(-0.913395\pi\)
0.987028 + 0.160546i \(0.0513255\pi\)
\(44\) 188.323 20.4814i 0.645245 0.0701747i
\(45\) −105.694 + 133.918i −0.350132 + 0.443631i
\(46\) 172.390 + 202.953i 0.552555 + 0.650518i
\(47\) −242.442 + 81.6882i −0.752421 + 0.253520i −0.669272 0.743017i \(-0.733394\pi\)
−0.0831483 + 0.996537i \(0.526498\pi\)
\(48\) 156.822 383.430i 0.471569 1.15299i
\(49\) −186.870 + 469.007i −0.544809 + 1.36737i
\(50\) −194.918 + 229.475i −0.551312 + 0.649054i
\(51\) 100.854 104.552i 0.276911 0.287064i
\(52\) −41.8536 + 28.3775i −0.111616 + 0.0756778i
\(53\) −344.447 + 137.240i −0.892706 + 0.355687i −0.770967 0.636875i \(-0.780227\pi\)
−0.121740 + 0.992562i \(0.538847\pi\)
\(54\) 418.312 + 267.475i 1.05417 + 0.674050i
\(55\) −28.6005 + 262.977i −0.0701179 + 0.644724i
\(56\) −325.012 + 150.367i −0.775564 + 0.358814i
\(57\) −231.803 179.557i −0.538651 0.417244i
\(58\) 103.450i 0.234201i
\(59\) 433.081 133.491i 0.955633 0.294560i
\(60\) −122.203 84.4856i −0.262939 0.181784i
\(61\) −392.130 21.2606i −0.823066 0.0446254i −0.362206 0.932098i \(-0.617976\pi\)
−0.460860 + 0.887473i \(0.652459\pi\)
\(62\) 255.701 + 552.688i 0.523774 + 1.13212i
\(63\) −196.535 761.227i −0.393033 1.52231i
\(64\) 11.8871 + 4.00523i 0.0232170 + 0.00782271i
\(65\) −26.1362 65.5970i −0.0498739 0.125174i
\(66\) 769.838 + 6.99134i 1.43576 + 0.0130390i
\(67\) 308.653 + 50.6011i 0.562806 + 0.0922673i 0.436468 0.899720i \(-0.356229\pi\)
0.126338 + 0.991987i \(0.459678\pi\)
\(68\) 96.4151 + 81.8958i 0.171942 + 0.146049i
\(69\) 216.460 + 325.581i 0.377662 + 0.568048i
\(70\) 139.976 + 635.915i 0.239004 + 1.08581i
\(71\) 55.9132 + 165.944i 0.0934602 + 0.277380i 0.984180 0.177173i \(-0.0566954\pi\)
−0.890719 + 0.454554i \(0.849799\pi\)
\(72\) 160.843 290.507i 0.263271 0.475507i
\(73\) 452.410 + 751.911i 0.725350 + 1.20554i 0.971668 + 0.236352i \(0.0759518\pi\)
−0.246318 + 0.969189i \(0.579221\pi\)
\(74\) 54.1663 + 498.051i 0.0850905 + 0.782395i
\(75\) −323.683 + 301.079i −0.498342 + 0.463541i
\(76\) 143.290 211.338i 0.216270 0.318975i
\(77\) −885.004 838.320i −1.30981 1.24072i
\(78\) −182.434 + 94.6081i −0.264828 + 0.137337i
\(79\) 720.120 + 333.163i 1.02557 + 0.474478i 0.859229 0.511591i \(-0.170944\pi\)
0.166338 + 0.986069i \(0.446806\pi\)
\(80\) −259.710 + 431.641i −0.362956 + 0.603237i
\(81\) 563.947 + 461.958i 0.773590 + 0.633687i
\(82\) −760.368 802.711i −1.02401 1.08103i
\(83\) −55.4155 199.589i −0.0732848 0.263948i 0.917827 0.396981i \(-0.129942\pi\)
−0.991112 + 0.133033i \(0.957528\pi\)
\(84\) 650.748 212.702i 0.845267 0.276282i
\(85\) −140.629 + 106.904i −0.179451 + 0.136415i
\(86\) 106.517 + 29.5743i 0.133559 + 0.0370824i
\(87\) 17.7927 150.843i 0.0219261 0.185886i
\(88\) −27.8748 514.120i −0.0337666 0.622788i
\(89\) 25.0337 + 461.720i 0.0298154 + 0.549913i 0.974839 + 0.222911i \(0.0715558\pi\)
−0.945023 + 0.327002i \(0.893961\pi\)
\(90\) −452.998 399.168i −0.530558 0.467511i
\(91\) 313.541 + 87.0541i 0.361187 + 0.100283i
\(92\) −271.041 + 206.040i −0.307152 + 0.233491i
\(93\) 277.785 + 849.866i 0.309731 + 0.947602i
\(94\) −242.223 872.408i −0.265781 0.957255i
\(95\) 245.201 + 258.855i 0.264811 + 0.279558i
\(96\) 862.921 + 408.784i 0.917412 + 0.434597i
\(97\) −732.057 + 1216.69i −0.766279 + 1.27357i 0.190194 + 0.981747i \(0.439088\pi\)
−0.956473 + 0.291820i \(0.905739\pi\)
\(98\) −1621.60 750.234i −1.67150 0.773317i
\(99\) 1121.32 + 142.600i 1.13835 + 0.144767i
\(100\) −279.476 264.734i −0.279476 0.264734i
\(101\) 743.848 1097.09i 0.732828 1.08084i −0.260495 0.965475i \(-0.583886\pi\)
0.993323 0.115365i \(-0.0368038\pi\)
\(102\) 350.150 + 376.438i 0.339902 + 0.365421i
\(103\) 179.639 + 1651.75i 0.171848 + 1.58011i 0.689348 + 0.724430i \(0.257897\pi\)
−0.517500 + 0.855683i \(0.673137\pi\)
\(104\) 70.8573 + 117.766i 0.0668089 + 0.111037i
\(105\) 94.7290 + 951.318i 0.0880438 + 0.884182i
\(106\) −418.992 1243.52i −0.383926 1.13945i
\(107\) 366.612 + 1665.53i 0.331231 + 1.50480i 0.788259 + 0.615344i \(0.210983\pi\)
−0.457028 + 0.889452i \(0.651086\pi\)
\(108\) −370.438 + 515.539i −0.330050 + 0.459331i
\(109\) −322.859 274.239i −0.283709 0.240985i 0.494220 0.869337i \(-0.335454\pi\)
−0.777929 + 0.628352i \(0.783730\pi\)
\(110\) −923.845 151.457i −0.800774 0.131280i
\(111\) −6.67982 + 735.535i −0.00571190 + 0.628954i
\(112\) −859.248 2156.55i −0.724923 1.81942i
\(113\) 2021.19 + 681.017i 1.68263 + 0.566944i 0.988275 0.152688i \(-0.0487928\pi\)
0.694356 + 0.719632i \(0.255689\pi\)
\(114\) 678.944 784.758i 0.557797 0.644731i
\(115\) −199.627 431.487i −0.161872 0.349881i
\(116\) 132.074 + 7.16083i 0.105713 + 0.00573160i
\(117\) −282.283 + 106.573i −0.223052 + 0.0842110i
\(118\) 388.760 + 1556.03i 0.303290 + 1.21393i
\(119\) 814.051i 0.627092i
\(120\) −247.274 + 319.224i −0.188108 + 0.242842i
\(121\) 382.681 177.047i 0.287514 0.133018i
\(122\) 150.264 1381.66i 0.111511 1.02532i
\(123\) −970.650 1301.23i −0.711550 0.953885i
\(124\) −723.310 + 288.193i −0.523832 + 0.208714i
\(125\) 1098.66 744.912i 0.786139 0.533015i
\(126\) 2727.73 548.677i 1.92862 0.387937i
\(127\) 1634.84 1924.69i 1.14228 1.34479i 0.212284 0.977208i \(-0.431910\pi\)
0.929991 0.367583i \(-0.119814\pi\)
\(128\) 527.704 1324.44i 0.364397 0.914568i
\(129\) 150.229 + 61.4432i 0.102534 + 0.0419362i
\(130\) 236.819 79.7935i 0.159772 0.0538335i
\(131\) 753.367 + 886.932i 0.502458 + 0.591539i 0.953661 0.300882i \(-0.0972810\pi\)
−0.451203 + 0.892421i \(0.649005\pi\)
\(132\) −62.2139 + 982.358i −0.0410229 + 0.647753i
\(133\) −1633.47 + 177.650i −1.06496 + 0.115821i
\(134\) −237.955 + 1081.04i −0.153405 + 0.696924i
\(135\) −591.874 659.948i −0.377336 0.420735i
\(136\) 236.451 249.618i 0.149085 0.157387i
\(137\) −1986.10 1052.96i −1.23857 0.656649i −0.285205 0.958466i \(-0.592062\pi\)
−0.953366 + 0.301818i \(0.902407\pi\)
\(138\) −1192.03 + 702.558i −0.735308 + 0.433374i
\(139\) −1516.36 912.361i −0.925292 0.556730i −0.0287004 0.999588i \(-0.509137\pi\)
−0.896592 + 0.442858i \(0.853964\pi\)
\(140\) −821.555 + 134.687i −0.495957 + 0.0813081i
\(141\) −203.143 1313.74i −0.121332 0.784658i
\(142\) −597.138 + 165.795i −0.352892 + 0.0979801i
\(143\) −283.129 + 372.450i −0.165570 + 0.217803i
\(144\) 1823.98 + 1143.08i 1.05554 + 0.661502i
\(145\) −49.4125 + 177.968i −0.0282999 + 0.101927i
\(146\) −2743.83 + 1454.69i −1.55535 + 0.824595i
\(147\) −2235.46 1372.84i −1.25427 0.770270i
\(148\) −639.605 + 34.6784i −0.355238 + 0.0192604i
\(149\) 420.706 + 793.536i 0.231313 + 0.436302i 0.971813 0.235754i \(-0.0757561\pi\)
−0.740500 + 0.672056i \(0.765411\pi\)
\(150\) −1001.95 1201.54i −0.545395 0.654034i
\(151\) −1110.53 1460.87i −0.598499 0.787312i 0.392703 0.919665i \(-0.371540\pi\)
−0.991203 + 0.132353i \(0.957747\pi\)
\(152\) −552.482 419.986i −0.294817 0.224114i
\(153\) 445.818 + 609.117i 0.235570 + 0.321857i
\(154\) 3132.08 2966.86i 1.63890 1.55244i
\(155\) −175.899 1072.94i −0.0911519 0.556002i
\(156\) −108.157 239.460i −0.0555095 0.122898i
\(157\) −424.979 + 918.577i −0.216032 + 0.466946i −0.985047 0.172285i \(-0.944885\pi\)
0.769015 + 0.639231i \(0.220747\pi\)
\(158\) −1315.33 + 2480.97i −0.662290 + 1.24921i
\(159\) −397.065 1885.28i −0.198046 0.940327i
\(160\) −961.044 651.604i −0.474857 0.321961i
\(161\) 2139.69 + 470.981i 1.04740 + 0.230550i
\(162\) −1740.55 + 1904.40i −0.844138 + 0.923604i
\(163\) 3367.87 2026.38i 1.61836 0.973733i 0.639599 0.768709i \(-0.279100\pi\)
0.978757 0.205024i \(-0.0657273\pi\)
\(164\) 1077.44 915.189i 0.513014 0.435758i
\(165\) −1321.03 379.737i −0.623285 0.179166i
\(166\) 715.936 157.590i 0.334744 0.0736826i
\(167\) −784.324 312.503i −0.363430 0.144804i 0.181273 0.983433i \(-0.441978\pi\)
−0.544703 + 0.838629i \(0.683358\pi\)
\(168\) −481.513 1797.42i −0.221128 0.825439i
\(169\) −335.231 + 2044.82i −0.152586 + 0.930732i
\(170\) −350.838 517.447i −0.158283 0.233449i
\(171\) 1124.96 1027.50i 0.503085 0.459503i
\(172\) −45.1303 + 133.942i −0.0200067 + 0.0593778i
\(173\) −521.948 56.7653i −0.229381 0.0249467i −0.00729356 0.999973i \(-0.502322\pi\)
−0.222088 + 0.975027i \(0.571287\pi\)
\(174\) 529.650 + 91.7785i 0.230763 + 0.0399868i
\(175\) −134.114 + 2473.59i −0.0579318 + 1.06849i
\(176\) 3337.64 1.42946
\(177\) 299.235 + 2335.74i 0.127073 + 0.991893i
\(178\) −1636.45 −0.689086
\(179\) −240.031 + 4427.10i −0.100228 + 1.84859i 0.327709 + 0.944779i \(0.393724\pi\)
−0.427936 + 0.903809i \(0.640759\pi\)
\(180\) 540.969 550.707i 0.224008 0.228041i
\(181\) −1020.94 111.034i −0.419257 0.0455970i −0.103941 0.994583i \(-0.533145\pi\)
−0.315317 + 0.948986i \(0.602111\pi\)
\(182\) −367.712 + 1091.33i −0.149762 + 0.444477i
\(183\) 456.739 1988.78i 0.184498 0.803362i
\(184\) 519.306 + 765.919i 0.208064 + 0.306871i
\(185\) 144.708 882.680i 0.0575089 0.350789i
\(186\) −3056.53 + 818.820i −1.20492 + 0.322789i
\(187\) 1087.28 + 433.212i 0.425186 + 0.169410i
\(188\) 1130.56 248.855i 0.438588 0.0965405i
\(189\) 4071.74 330.889i 1.56706 0.127347i
\(190\) −961.740 + 816.910i −0.367221 + 0.311920i
\(191\) 627.656 377.648i 0.237778 0.143066i −0.391678 0.920102i \(-0.628105\pi\)
0.629456 + 0.777036i \(0.283278\pi\)
\(192\) −31.0521 + 57.3069i −0.0116718 + 0.0215405i
\(193\) 1370.33 + 301.632i 0.511080 + 0.112497i 0.463021 0.886347i \(-0.346765\pi\)
0.0480591 + 0.998844i \(0.484696\pi\)
\(194\) −4159.35 2820.11i −1.53930 1.04367i
\(195\) 359.035 75.6178i 0.131851 0.0277697i
\(196\) 1070.06 2018.35i 0.389964 0.735551i
\(197\) 276.393 597.413i 0.0999603 0.216061i −0.851143 0.524934i \(-0.824090\pi\)
0.951103 + 0.308874i \(0.0999520\pi\)
\(198\) −718.775 + 3935.25i −0.257986 + 1.41246i
\(199\) −578.415 3528.18i −0.206044 1.25681i −0.863898 0.503668i \(-0.831984\pi\)
0.657853 0.753146i \(-0.271465\pi\)
\(200\) −759.608 + 719.539i −0.268562 + 0.254395i
\(201\) −532.900 + 1535.37i −0.187004 + 0.538788i
\(202\) 3734.46 + 2838.86i 1.30077 + 0.988819i
\(203\) −515.096 677.597i −0.178092 0.234276i
\(204\) −504.832 + 420.976i −0.173261 + 0.144481i
\(205\) 924.668 + 1744.11i 0.315032 + 0.594214i
\(206\) −5871.48 + 318.342i −1.98585 + 0.107670i
\(207\) −1858.96 + 819.395i −0.624188 + 0.275130i
\(208\) −787.155 + 417.323i −0.262401 + 0.139116i
\(209\) 632.001 2276.26i 0.209170 0.753361i
\(210\) −3379.98 + 152.486i −1.11067 + 0.0501074i
\(211\) −1279.67 + 1683.38i −0.417518 + 0.549236i −0.955987 0.293410i \(-0.905210\pi\)
0.538469 + 0.842646i \(0.319003\pi\)
\(212\) 1616.60 448.845i 0.523718 0.145410i
\(213\) −899.216 + 139.046i −0.289264 + 0.0447289i
\(214\) −5956.01 + 976.438i −1.90254 + 0.311906i
\(215\) −169.118 101.755i −0.0536453 0.0322773i
\(216\) 1344.66 + 1081.22i 0.423575 + 0.340592i
\(217\) 4426.76 + 2346.92i 1.38483 + 0.734190i
\(218\) 1030.98 1088.40i 0.320308 0.338145i
\(219\) −4251.04 + 1649.20i −1.31168 + 0.508869i
\(220\) 257.311 1168.98i 0.0788542 0.358238i
\(221\) −310.593 + 33.7790i −0.0945373 + 0.0102815i
\(222\) −2598.00 164.535i −0.785434 0.0497425i
\(223\) −4191.91 4935.10i −1.25880 1.48197i −0.807817 0.589433i \(-0.799351\pi\)
−0.450978 0.892535i \(-0.648925\pi\)
\(224\) 5070.67 1708.51i 1.51249 0.509618i
\(225\) −1254.32 1924.32i −0.371650 0.570168i
\(226\) −2793.88 + 7012.11i −0.822329 + 2.06389i
\(227\) 3208.21 3777.00i 0.938046 1.10435i −0.0563265 0.998412i \(-0.517939\pi\)
0.994372 0.105941i \(-0.0337854\pi\)
\(228\) 954.895 + 921.120i 0.277366 + 0.267556i
\(229\) 1851.14 1255.10i 0.534178 0.362182i −0.264076 0.964502i \(-0.585067\pi\)
0.798255 + 0.602320i \(0.205757\pi\)
\(230\) 1563.06 622.782i 0.448110 0.178544i
\(231\) 5077.23 3787.35i 1.44614 1.07874i
\(232\) 38.8687 357.392i 0.0109994 0.101138i
\(233\) 3252.90 1504.95i 0.914611 0.423144i 0.0946156 0.995514i \(-0.469838\pi\)
0.819996 + 0.572370i \(0.193976\pi\)
\(234\) −322.529 1017.97i −0.0901042 0.284388i
\(235\) 1616.52i 0.448724i
\(236\) −2013.47 + 388.617i −0.555363 + 0.107190i
\(237\) −2344.62 + 3391.34i −0.642613 + 0.929498i
\(238\) 2876.75 + 155.973i 0.783495 + 0.0424799i
\(239\) −1819.84 3933.51i −0.492533 1.06459i −0.981354 0.192209i \(-0.938435\pi\)
0.488821 0.872384i \(-0.337427\pi\)
\(240\) −1979.53 1712.62i −0.532410 0.460621i
\(241\) 2439.07 + 821.819i 0.651927 + 0.219660i 0.625782 0.779998i \(-0.284780\pi\)
0.0261457 + 0.999658i \(0.491677\pi\)
\(242\) 552.339 + 1386.27i 0.146718 + 0.368234i
\(243\) −2865.48 + 2477.49i −0.756463 + 0.654037i
\(244\) 1753.55 + 287.479i 0.460079 + 0.0754261i
\(245\) 2431.34 + 2065.20i 0.634010 + 0.538533i
\(246\) 4784.34 3180.83i 1.23999 0.824400i
\(247\) 135.561 + 615.861i 0.0349213 + 0.158649i
\(248\) 675.717 + 2005.46i 0.173016 + 0.513495i
\(249\) 1071.03 106.649i 0.272585 0.0271431i
\(250\) 2421.91 + 4025.25i 0.612701 + 1.01832i
\(251\) 424.675 + 3904.82i 0.106794 + 0.981953i 0.917835 + 0.396963i \(0.129936\pi\)
−0.811041 + 0.584990i \(0.801099\pi\)
\(252\) 511.676 + 3520.44i 0.127907 + 0.880027i
\(253\) −1767.74 + 2607.21i −0.439275 + 0.647882i
\(254\) 6488.35 + 6146.09i 1.60282 + 1.51827i
\(255\) −422.568 814.843i −0.103773 0.200108i
\(256\) 4670.34 + 2160.73i 1.14022 + 0.527522i
\(257\) 3694.88 6140.93i 0.896810 1.49051i 0.0255582 0.999673i \(-0.491864\pi\)
0.871252 0.490836i \(-0.163309\pi\)
\(258\) −245.916 + 519.115i −0.0593413 + 0.125266i
\(259\) 2834.66 + 2992.52i 0.680067 + 0.717938i
\(260\) 85.4788 + 307.867i 0.0203891 + 0.0734350i
\(261\) 756.510 + 224.920i 0.179413 + 0.0533418i
\(262\) −3278.64 + 2492.36i −0.773112 + 0.587704i
\(263\) 5921.89 + 1644.20i 1.38844 + 0.385498i 0.879743 0.475449i \(-0.157714\pi\)
0.508695 + 0.860947i \(0.330128\pi\)
\(264\) 2656.95 + 313.400i 0.619409 + 0.0730622i
\(265\) 126.838 + 2339.39i 0.0294023 + 0.542293i
\(266\) −314.818 5806.49i −0.0725668 1.33842i
\(267\) −2386.15 281.458i −0.546929 0.0645128i
\(268\) −1363.68 378.625i −0.310822 0.0862992i
\(269\) 4632.23 3521.33i 1.04993 0.798139i 0.0700174 0.997546i \(-0.477695\pi\)
0.979917 + 0.199406i \(0.0639014\pi\)
\(270\) 2445.57 1965.15i 0.551232 0.442946i
\(271\) 176.376 + 635.249i 0.0395354 + 0.142393i 0.980684 0.195600i \(-0.0626655\pi\)
−0.941148 + 0.337994i \(0.890252\pi\)
\(272\) 1532.78 + 1618.13i 0.341685 + 0.360712i
\(273\) −723.870 + 1528.05i −0.160478 + 0.338761i
\(274\) 4101.57 6816.87i 0.904325 1.50300i
\(275\) −3232.45 1495.49i −0.708815 0.327933i
\(276\) −814.434 1570.48i −0.177620 0.342507i
\(277\) −6103.22 5781.28i −1.32385 1.25402i −0.944397 0.328809i \(-0.893353\pi\)
−0.379455 0.925210i \(-0.623888\pi\)
\(278\) 3514.69 5183.78i 0.758264 1.11836i
\(279\) −4597.63 + 668.239i −0.986570 + 0.143392i
\(280\) 244.648 + 2249.50i 0.0522162 + 0.480120i
\(281\) 1448.14 + 2406.82i 0.307433 + 0.510957i 0.971601 0.236626i \(-0.0760416\pi\)
−0.664168 + 0.747583i \(0.731214\pi\)
\(282\) 4681.50 466.168i 0.988578 0.0984393i
\(283\) 1263.69 + 3750.49i 0.265436 + 0.787785i 0.994632 + 0.103480i \(0.0329978\pi\)
−0.729196 + 0.684305i \(0.760106\pi\)
\(284\) −170.334 773.835i −0.0355897 0.161686i
\(285\) −1542.84 + 1025.74i −0.320666 + 0.213192i
\(286\) −1261.94 1071.90i −0.260909 0.221618i
\(287\) −8977.22 1471.74i −1.84637 0.302697i
\(288\) −2858.48 + 4055.37i −0.584852 + 0.829739i
\(289\) −1529.19 3837.99i −0.311255 0.781190i
\(290\) −619.447 208.716i −0.125432 0.0422628i
\(291\) −5579.80 4827.44i −1.12403 0.972473i
\(292\) −1667.25 3603.71i −0.334139 0.722230i
\(293\) 2854.05 + 154.742i 0.569063 + 0.0308537i 0.336426 0.941710i \(-0.390782\pi\)
0.232637 + 0.972564i \(0.425265\pi\)
\(294\) 5279.73 7636.79i 1.04735 1.51492i
\(295\) 74.4362 2862.56i 0.0146910 0.564965i
\(296\) 1740.98i 0.341866i
\(297\) −1724.90 + 5614.46i −0.336999 + 1.09692i
\(298\) −2884.85 + 1334.68i −0.560789 + 0.259449i
\(299\) 90.9118 835.920i 0.0175838 0.161681i
\(300\) 1603.34 1196.01i 0.308564 0.230173i
\(301\) 844.941 336.655i 0.161799 0.0644667i
\(302\) 5375.30 3644.55i 1.02422 0.694437i
\(303\) 4957.04 + 4781.71i 0.939849 + 0.906607i
\(304\) 2912.43 3428.78i 0.549471 0.646888i
\(305\) −918.446 + 2305.13i −0.172427 + 0.432758i
\(306\) −2237.95 + 1458.75i −0.418089 + 0.272521i
\(307\) 8395.26 2828.69i 1.56072 0.525869i 0.599203 0.800597i \(-0.295484\pi\)
0.961522 + 0.274728i \(0.0885877\pi\)
\(308\) 3570.95 + 4204.05i 0.660629 + 0.777753i
\(309\) −8616.09 545.667i −1.58625 0.100459i
\(310\) 3825.31 416.028i 0.700849 0.0762219i
\(311\) −1403.39 + 6375.64i −0.255880 + 1.16247i 0.656886 + 0.753990i \(0.271873\pi\)
−0.912765 + 0.408484i \(0.866058\pi\)
\(312\) −665.806 + 258.300i −0.120814 + 0.0468698i
\(313\) −6415.28 + 6772.53i −1.15851 + 1.22302i −0.187944 + 0.982180i \(0.560182\pi\)
−0.970564 + 0.240843i \(0.922576\pi\)
\(314\) −3164.70 1677.82i −0.568772 0.301544i
\(315\) −4954.65 358.986i −0.886232 0.0642114i
\(316\) −3076.38 1851.00i −0.547658 0.329515i
\(317\) −9935.50 + 1628.84i −1.76036 + 0.288596i −0.953333 0.301922i \(-0.902372\pi\)
−0.807025 + 0.590518i \(0.798924\pi\)
\(318\) 6738.38 1041.96i 1.18827 0.183742i
\(319\) 1179.14 327.387i 0.206957 0.0574614i
\(320\) 47.9656 63.0976i 0.00837924 0.0110227i
\(321\) −8852.54 + 399.379i −1.53925 + 0.0694429i
\(322\) −2074.35 + 7471.13i −0.359003 + 1.29301i
\(323\) 1393.80 738.947i 0.240103 0.127295i
\(324\) −2310.84 2353.96i −0.396235 0.403628i
\(325\) 949.337 51.4716i 0.162030 0.00878501i
\(326\) 6515.67 + 12289.9i 1.10696 + 2.08795i
\(327\) 1690.50 1409.70i 0.285886 0.238399i
\(328\) −2325.26 3058.83i −0.391437 0.514926i
\(329\) −5930.42 4508.18i −0.993782 0.755454i
\(330\) 1595.05 4595.58i 0.266074 0.766601i
\(331\) 2440.08 2311.37i 0.405193 0.383819i −0.457783 0.889064i \(-0.651356\pi\)
0.862976 + 0.505245i \(0.168598\pi\)
\(332\) 151.636 + 924.936i 0.0250665 + 0.152899i
\(333\) −3759.91 686.748i −0.618744 0.113014i
\(334\) 1254.62 2711.82i 0.205538 0.444264i
\(335\) 925.715 1746.08i 0.150977 0.284772i
\(336\) 11803.5 2485.99i 1.91647 0.403636i
\(337\) 3926.08 + 2661.95i 0.634621 + 0.430284i 0.835620 0.549307i \(-0.185108\pi\)
−0.200999 + 0.979591i \(0.564419\pi\)
\(338\) −7161.88 1576.45i −1.15253 0.253691i
\(339\) −5279.85 + 9744.00i −0.845907 + 1.56113i
\(340\) 684.904 412.093i 0.109247 0.0657320i
\(341\) −5490.42 + 4663.60i −0.871914 + 0.740610i
\(342\) 3415.51 + 4172.31i 0.540027 + 0.659686i
\(343\) −4603.00 + 1013.20i −0.724602 + 0.159497i
\(344\) 356.876 + 142.192i 0.0559344 + 0.0222863i
\(345\) 2386.25 639.257i 0.372381 0.0997578i
\(346\) 300.606 1833.62i 0.0467072 0.284901i
\(347\) −3075.15 4535.51i −0.475743 0.701668i 0.511785 0.859114i \(-0.328985\pi\)
−0.987528 + 0.157445i \(0.949674\pi\)
\(348\) −153.835 + 669.845i −0.0236966 + 0.103182i
\(349\) 3139.33 9317.20i 0.481503 1.42905i −0.381744 0.924268i \(-0.624676\pi\)
0.863247 0.504782i \(-0.168427\pi\)
\(350\) −8715.62 947.881i −1.33106 0.144761i
\(351\) −295.204 1539.80i −0.0448912 0.234155i
\(352\) −416.496 + 7681.81i −0.0630662 + 1.16319i
\(353\) −4452.86 −0.671393 −0.335697 0.941970i \(-0.608972\pi\)
−0.335697 + 0.941970i \(0.608972\pi\)
\(354\) −8311.53 + 609.927i −1.24789 + 0.0915741i
\(355\) 1106.46 0.165422
\(356\) 113.275 2089.24i 0.0168640 0.311038i
\(357\) 4167.82 + 722.206i 0.617884 + 0.107068i
\(358\) −15598.8 1696.47i −2.30285 0.250450i
\(359\) 59.9581 177.949i 0.00881467 0.0261610i −0.943156 0.332352i \(-0.892158\pi\)
0.951970 + 0.306191i \(0.0990545\pi\)
\(360\) −1415.01 1549.22i −0.207160 0.226808i
\(361\) 2062.25 + 3041.59i 0.300663 + 0.443445i
\(362\) 587.989 3586.58i 0.0853702 0.520735i
\(363\) 566.951 + 2116.35i 0.0819758 + 0.306004i
\(364\) −1367.84 544.995i −0.196962 0.0784767i
\(365\) 5415.10 1191.95i 0.776546 0.170931i
\(366\) 6940.58 + 1995.11i 0.991230 + 0.284934i
\(367\) −6816.32 + 5789.83i −0.969506 + 0.823506i −0.984321 0.176384i \(-0.943560\pi\)
0.0148151 + 0.999890i \(0.495284\pi\)
\(368\) −5139.98 + 3092.63i −0.728098 + 0.438082i
\(369\) 7523.24 3815.17i 1.06137 0.538238i
\(370\) 3091.55 + 680.501i 0.434383 + 0.0956150i
\(371\) −8936.10 6058.83i −1.25051 0.847867i
\(372\) −833.804 3958.92i −0.116212 0.551775i
\(373\) 2663.53 5023.94i 0.369738 0.697399i −0.626921 0.779083i \(-0.715685\pi\)
0.996658 + 0.0816840i \(0.0260298\pi\)
\(374\) −1739.23 + 3759.29i −0.240464 + 0.519755i
\(375\) 2839.13 + 6285.86i 0.390966 + 0.865601i
\(376\) −509.029 3104.94i −0.0698169 0.425864i
\(377\) −237.156 + 224.646i −0.0323983 + 0.0306893i
\(378\) 389.172 + 14452.4i 0.0529546 + 1.96653i
\(379\) −9628.43 7319.34i −1.30496 0.992003i −0.999204 0.0398925i \(-0.987298\pi\)
−0.305754 0.952111i \(-0.598908\pi\)
\(380\) −976.367 1284.39i −0.131807 0.173389i
\(381\) 8403.73 + 10077.7i 1.13002 + 1.35511i
\(382\) 1214.30 + 2290.41i 0.162641 + 0.306773i
\(383\) 7197.43 390.233i 0.960238 0.0520626i 0.432649 0.901562i \(-0.357579\pi\)
0.527589 + 0.849500i \(0.323096\pi\)
\(384\) 6312.76 + 3876.77i 0.838923 + 0.515197i
\(385\) −6805.29 + 3607.94i −0.900856 + 0.477604i
\(386\) −1328.48 + 4784.77i −0.175176 + 0.630928i
\(387\) −447.859 + 714.638i −0.0588268 + 0.0938684i
\(388\) 3888.31 5114.98i 0.508760 0.669262i
\(389\) 1944.95 540.012i 0.253503 0.0703848i −0.138452 0.990369i \(-0.544213\pi\)
0.391955 + 0.919984i \(0.371799\pi\)
\(390\) 198.432 + 1283.27i 0.0257640 + 0.166617i
\(391\) −2075.83 + 340.315i −0.268489 + 0.0440165i
\(392\) −5320.31 3201.13i −0.685501 0.412452i
\(393\) −5209.33 + 3070.27i −0.668642 + 0.394083i
\(394\) 2058.22 + 1091.20i 0.263177 + 0.139527i
\(395\) 3447.81 3639.81i 0.439186 0.463643i
\(396\) −4974.34 1190.05i −0.631237 0.151016i
\(397\) 474.240 2154.50i 0.0599533 0.272370i −0.937102 0.349055i \(-0.886503\pi\)
0.997055 + 0.0766849i \(0.0244336\pi\)
\(398\) 12578.9 1368.04i 1.58423 0.172296i
\(399\) 539.627 8520.72i 0.0677071 1.06910i
\(400\) −4390.93 5169.40i −0.548866 0.646175i
\(401\) −2574.72 + 867.525i −0.320637 + 0.108035i −0.475018 0.879976i \(-0.657558\pi\)
0.154381 + 0.988011i \(0.450662\pi\)
\(402\) −5323.67 2177.37i −0.660499 0.270143i
\(403\) 711.755 1786.37i 0.0879777 0.220807i
\(404\) −3882.84 + 4571.23i −0.478164 + 0.562939i
\(405\) 3903.93 2444.82i 0.478983 0.299960i
\(406\) 2493.23 1690.45i 0.304770 0.206639i
\(407\) −5505.44 + 2193.57i −0.670503 + 0.267153i
\(408\) 1068.24 + 1432.05i 0.129622 + 0.173767i
\(409\) 1463.32 13455.0i 0.176910 1.62666i −0.483210 0.875505i \(-0.660529\pi\)
0.660120 0.751160i \(-0.270505\pi\)
\(410\) −6340.61 + 2933.48i −0.763757 + 0.353352i
\(411\) 7153.05 9234.39i 0.858477 1.10827i
\(412\) 7518.08i 0.899003i
\(413\) 10294.1 + 8256.24i 1.22649 + 0.983688i
\(414\) −2539.45 6726.32i −0.301467 0.798504i
\(415\) −1306.91 70.8588i −0.154588 0.00838150i
\(416\) −862.271 1863.77i −0.101626 0.219661i
\(417\) 6016.43 6954.10i 0.706537 0.816651i
\(418\) 7922.91 + 2669.54i 0.927087 + 0.312372i
\(419\) −1666.57 4182.77i −0.194313 0.487690i 0.799246 0.601004i \(-0.205233\pi\)
−0.993559 + 0.113315i \(0.963853\pi\)
\(420\) 39.2845 4325.73i 0.00456402 0.502557i
\(421\) −7458.54 1222.77i −0.863437 0.141553i −0.286240 0.958158i \(-0.592405\pi\)
−0.577197 + 0.816605i \(0.695854\pi\)
\(422\) −5703.66 4844.73i −0.657937 0.558857i
\(423\) 6906.38 + 125.452i 0.793852 + 0.0144201i
\(424\) −980.280 4453.46i −0.112280 0.510092i
\(425\) −759.436 2253.92i −0.0866777 0.257250i
\(426\) −319.078 3204.35i −0.0362897 0.364440i
\(427\) −5895.28 9798.03i −0.668132 1.11044i
\(428\) −834.332 7671.56i −0.0942265 0.866399i
\(429\) −1655.71 1780.01i −0.186336 0.200326i
\(430\) 391.991 578.143i 0.0439616 0.0648385i
\(431\) 9799.08 + 9282.19i 1.09514 + 1.03737i 0.999118 + 0.0419924i \(0.0133705\pi\)
0.0960219 + 0.995379i \(0.469388\pi\)
\(432\) −7470.57 + 8324.39i −0.832009 + 0.927101i
\(433\) −6807.90 3149.67i −0.755581 0.349569i 0.00399116 0.999992i \(-0.498730\pi\)
−0.759572 + 0.650423i \(0.774592\pi\)
\(434\) −9141.86 + 15193.9i −1.01111 + 1.68048i
\(435\) −867.332 410.874i −0.0955986 0.0452871i
\(436\) 1318.18 + 1391.58i 0.144792 + 0.152855i
\(437\) 1135.88 + 4091.06i 0.124340 + 0.447831i
\(438\) −5013.53 15338.6i −0.546931 1.67330i
\(439\) 4394.51 3340.62i 0.477764 0.363187i −0.338404 0.941001i \(-0.609887\pi\)
0.816169 + 0.577814i \(0.196094\pi\)
\(440\) −3134.72 870.351i −0.339641 0.0943009i
\(441\) 9011.97 10227.3i 0.973110 1.10434i
\(442\) −59.8607 1104.07i −0.00644181 0.118812i
\(443\) 487.415 + 8989.83i 0.0522749 + 0.964153i 0.900592 + 0.434665i \(0.143133\pi\)
−0.848317 + 0.529488i \(0.822384\pi\)
\(444\) 389.893 3305.45i 0.0416746 0.353310i
\(445\) 2815.23 + 781.644i 0.299898 + 0.0832663i
\(446\) 18243.2 13868.1i 1.93686 1.47236i
\(447\) −4436.03 + 1449.95i −0.469389 + 0.153423i
\(448\) 97.7146 + 351.936i 0.0103049 + 0.0371148i
\(449\) 4904.03 + 5177.12i 0.515446 + 0.544150i 0.930809 0.365506i \(-0.119104\pi\)
−0.415363 + 0.909656i \(0.636345\pi\)
\(450\) 7040.61 4063.89i 0.737550 0.425719i
\(451\) 6743.11 11207.1i 0.704036 1.17012i
\(452\) −8758.89 4052.29i −0.911468 0.421690i
\(453\) 8464.69 4389.69i 0.877938 0.455288i
\(454\) 12732.7 + 12061.1i 1.31625 + 1.24681i
\(455\) 1153.85 1701.80i 0.118887 0.175345i
\(456\) 2640.42 2456.03i 0.271160 0.252224i
\(457\) 868.718 + 7987.73i 0.0889211 + 0.817616i 0.950654 + 0.310253i \(0.100414\pi\)
−0.861733 + 0.507362i \(0.830621\pi\)
\(458\) 4080.69 + 6782.16i 0.416328 + 0.691942i
\(459\) −3514.11 + 1742.13i −0.357352 + 0.177158i
\(460\) 686.903 + 2038.65i 0.0696239 + 0.206636i
\(461\) 1816.78 + 8253.73i 0.183549 + 0.833871i 0.974924 + 0.222540i \(0.0714347\pi\)
−0.791375 + 0.611331i \(0.790634\pi\)
\(462\) 12411.2 + 18667.9i 1.24983 + 1.87989i
\(463\) −4945.01 4200.33i −0.496359 0.421611i 0.363923 0.931429i \(-0.381437\pi\)
−0.860283 + 0.509818i \(0.829713\pi\)
\(464\) 2299.73 + 377.022i 0.230091 + 0.0377215i
\(465\) 5649.33 + 51.3049i 0.563401 + 0.00511657i
\(466\) 4695.03 + 11783.6i 0.466724 + 1.17139i
\(467\) −1325.79 446.709i −0.131371 0.0442639i 0.252848 0.967506i \(-0.418633\pi\)
−0.384219 + 0.923242i \(0.625529\pi\)
\(468\) 1321.96 341.305i 0.130571 0.0337112i
\(469\) 3824.09 + 8265.63i 0.376503 + 0.813798i
\(470\) −5712.56 309.726i −0.560640 0.0303970i
\(471\) −4325.95 2990.77i −0.423205 0.292585i
\(472\) 758.422 + 5521.71i 0.0739602 + 0.538469i
\(473\) 1307.69i 0.127120i
\(474\) −11535.3 8935.34i −1.11779 0.865852i
\(475\) −4356.97 + 2015.75i −0.420866 + 0.194713i
\(476\) −398.257 + 3661.91i −0.0383489 + 0.352612i
\(477\) 10004.6 360.349i 0.960334 0.0345896i
\(478\) 14249.2 5677.39i 1.36348 0.543259i
\(479\) 8248.16 5592.39i 0.786781 0.533451i −0.100359 0.994951i \(-0.531999\pi\)
0.887140 + 0.461500i \(0.152689\pi\)
\(480\) 4188.73 4342.32i 0.398309 0.412914i
\(481\) 1024.14 1205.71i 0.0970827 0.114295i
\(482\) −3371.53 + 8461.89i −0.318607 + 0.799644i
\(483\) −4309.64 + 10537.1i −0.405994 + 0.992656i
\(484\) −1808.06 + 609.207i −0.169803 + 0.0572133i
\(485\) 5808.41 + 6838.19i 0.543807 + 0.640219i
\(486\) −8206.08 10600.9i −0.765916 0.989437i
\(487\) −1428.86 + 155.398i −0.132953 + 0.0144595i −0.174353 0.984683i \(-0.555784\pi\)
0.0414006 + 0.999143i \(0.486818\pi\)
\(488\) 1038.24 4716.79i 0.0963097 0.437539i
\(489\) 7386.89 + 19040.8i 0.683122 + 1.76085i
\(490\) −7763.97 + 8196.32i −0.715796 + 0.755657i
\(491\) −12053.1 6390.14i −1.10784 0.587338i −0.189001 0.981977i \(-0.560525\pi\)
−0.918837 + 0.394638i \(0.870870\pi\)
\(492\) 3729.76 + 6328.29i 0.341769 + 0.579881i
\(493\) 700.231 + 421.315i 0.0639692 + 0.0384890i
\(494\) −2202.34 + 361.056i −0.200583 + 0.0328839i
\(495\) 3116.18 6426.59i 0.282953 0.583543i
\(496\) −13218.3 + 3670.05i −1.19661 + 0.332238i
\(497\) −3085.72 + 4059.20i −0.278498 + 0.366358i
\(498\) 171.675 + 3805.30i 0.0154476 + 0.342409i
\(499\) 2170.49 7817.39i 0.194718 0.701312i −0.800120 0.599840i \(-0.795231\pi\)
0.994838 0.101472i \(-0.0323552\pi\)
\(500\) −5306.63 + 2813.40i −0.474640 + 0.251638i
\(501\) 2295.80 3738.38i 0.204728 0.333370i
\(502\) −13880.5 + 752.577i −1.23410 + 0.0669107i
\(503\) −1484.75 2800.54i −0.131614 0.248250i 0.808942 0.587888i \(-0.200040\pi\)
−0.940556 + 0.339638i \(0.889696\pi\)
\(504\) 9629.71 870.653i 0.851074 0.0769484i
\(505\) −5068.50 6667.50i −0.446625 0.587525i
\(506\) −8874.84 6746.48i −0.779713 0.592723i
\(507\) −10171.8 3530.44i −0.891013 0.309255i
\(508\) −8295.76 + 7858.16i −0.724537 + 0.686318i
\(509\) −1852.47 11299.6i −0.161315 0.983977i −0.936095 0.351746i \(-0.885588\pi\)
0.774781 0.632230i \(-0.217860\pi\)
\(510\) 2960.51 1337.17i 0.257046 0.116100i
\(511\) −10728.9 + 23190.2i −0.928804 + 2.00758i
\(512\) −3188.11 + 6013.42i −0.275188 + 0.519059i
\(513\) 4262.62 + 6671.18i 0.366860 + 0.574152i
\(514\) 20993.3 + 14233.8i 1.80151 + 1.22145i
\(515\) 10252.9 + 2256.83i 0.877274 + 0.193103i
\(516\) −645.726 349.891i −0.0550901 0.0298509i
\(517\) 9177.29 5521.79i 0.780690 0.469726i
\(518\) −11118.3 + 9443.94i −0.943067 + 0.801048i
\(519\) 753.689 2621.94i 0.0637443 0.221754i
\(520\) 848.124 186.686i 0.0715244 0.0157437i
\(521\) 8909.54 + 3549.88i 0.749201 + 0.298509i 0.713312 0.700847i \(-0.247194\pi\)
0.0358893 + 0.999356i \(0.488574\pi\)
\(522\) −939.785 + 2630.31i −0.0787994 + 0.220547i
\(523\) −1570.45 + 9579.30i −0.131302 + 0.800906i 0.836272 + 0.548316i \(0.184731\pi\)
−0.967573 + 0.252590i \(0.918718\pi\)
\(524\) −2955.02 4358.33i −0.246356 0.363348i
\(525\) −12545.4 2881.15i −1.04291 0.239512i
\(526\) −6945.03 + 20612.1i −0.575699 + 1.70861i
\(527\) −4782.39 520.117i −0.395302 0.0429917i
\(528\) −2961.07 + 17088.2i −0.244061 + 1.40847i
\(529\) −352.206 + 6496.06i −0.0289477 + 0.533908i
\(530\) −8291.40 −0.679538
\(531\) −12224.1 540.171i −0.999025 0.0441458i
\(532\) 7434.86 0.605906
\(533\) −189.018 + 3486.24i −0.0153608 + 0.283313i
\(534\) 1451.82 8378.40i 0.117652 0.678968i
\(535\) 10712.7 + 1165.07i 0.865698 + 0.0941503i
\(536\) −1228.24 + 3645.30i −0.0989777 + 0.293755i
\(537\) −22453.2 5156.54i −1.80433 0.414378i
\(538\) 11556.4 + 17044.4i 0.926079 + 1.36586i
\(539\) 3419.42 20857.6i 0.273256 1.66679i
\(540\) 2339.61 + 3258.26i 0.186446 + 0.259654i
\(541\) 14903.6 + 5938.12i 1.18439 + 0.471904i 0.877377 0.479802i \(-0.159292\pi\)
0.307012 + 0.951706i \(0.400671\pi\)
\(542\) −2278.68 + 501.575i −0.180586 + 0.0397500i
\(543\) 1474.22 5128.54i 0.116510 0.405316i
\(544\) −3915.51 + 3325.87i −0.308596 + 0.262124i
\(545\) −2293.49 + 1379.95i −0.180261 + 0.108460i
\(546\) −5261.23 2850.83i −0.412381 0.223451i
\(547\) −14726.2 3241.49i −1.15109 0.253375i −0.401872 0.915696i \(-0.631640\pi\)
−0.749220 + 0.662321i \(0.769571\pi\)
\(548\) 8419.10 + 5708.29i 0.656289 + 0.444975i
\(549\) 9777.08 + 4102.84i 0.760065 + 0.318952i
\(550\) 5904.20 11136.5i 0.457738 0.863386i
\(551\) 692.595 1497.02i 0.0535491 0.115744i
\(552\) −4382.11 + 1979.27i −0.337889 + 0.152615i
\(553\) 3737.80 + 22799.5i 0.287427 + 1.75323i
\(554\) 21599.6 20460.2i 1.65646 1.56908i
\(555\) 4390.81 + 1523.98i 0.335819 + 0.116557i
\(556\) 6374.79 + 4845.99i 0.486243 + 0.369633i
\(557\) −1426.09 1875.99i −0.108484 0.142708i 0.738647 0.674092i \(-0.235465\pi\)
−0.847131 + 0.531385i \(0.821672\pi\)
\(558\) −1480.56 16375.4i −0.112324 1.24234i
\(559\) −163.508 308.409i −0.0123715 0.0233351i
\(560\) −14646.7 + 794.122i −1.10524 + 0.0599246i
\(561\) −3182.59 + 5182.38i −0.239517 + 0.390018i
\(562\) −8782.85 + 4656.37i −0.659221 + 0.349497i
\(563\) 3695.42 13309.7i 0.276631 0.996336i −0.686462 0.727166i \(-0.740837\pi\)
0.963093 0.269170i \(-0.0867492\pi\)
\(564\) 271.097 + 6009.08i 0.0202398 + 0.448631i
\(565\) 8155.68 10728.6i 0.607278 0.798861i
\(566\) −13495.8 + 3747.10i −1.00225 + 0.278273i
\(567\) −1918.24 + 21140.3i −0.142078 + 1.56580i
\(568\) −2125.24 + 348.416i −0.156995 + 0.0257380i
\(569\) 6153.69 + 3702.55i 0.453385 + 0.272793i 0.723876 0.689930i \(-0.242359\pi\)
−0.270491 + 0.962722i \(0.587186\pi\)
\(570\) −3329.23 5648.71i −0.244642 0.415085i
\(571\) 14983.0 + 7943.46i 1.09810 + 0.582178i 0.916031 0.401107i \(-0.131375\pi\)
0.182073 + 0.983285i \(0.441719\pi\)
\(572\) 1455.84 1536.91i 0.106419 0.112345i
\(573\) 1376.66 + 3548.55i 0.100368 + 0.258713i
\(574\) 6920.97 31442.3i 0.503268 2.28637i
\(575\) 6363.70 692.094i 0.461539 0.0501954i
\(576\) −265.854 209.824i −0.0192314 0.0151782i
\(577\) 875.635 + 1030.88i 0.0631770 + 0.0743777i 0.792843 0.609426i \(-0.208600\pi\)
−0.729666 + 0.683804i \(0.760324\pi\)
\(578\) 13855.9 4668.60i 0.997111 0.335966i
\(579\) −2760.04 + 6748.29i −0.198106 + 0.484369i
\(580\) 309.343 776.393i 0.0221462 0.0555827i
\(581\) 3904.70 4596.97i 0.278820 0.328252i
\(582\) 18128.6 18793.3i 1.29116 1.33850i
\(583\) 12847.9 8711.10i 0.912704 0.618829i
\(584\) −10025.7 + 3994.62i −0.710391 + 0.283046i
\(585\) 68.6254 + 1905.29i 0.00485010 + 0.134657i
\(586\) −1093.68 + 10056.2i −0.0770978 + 0.708903i
\(587\) −13247.4 + 6128.90i −0.931480 + 0.430949i −0.826126 0.563486i \(-0.809460\pi\)
−0.105355 + 0.994435i \(0.533598\pi\)
\(588\) 9384.33 + 7269.19i 0.658169 + 0.509824i
\(589\) 9709.80i 0.679262i
\(590\) 10101.6 + 811.515i 0.704877 + 0.0566263i
\(591\) 2813.46 + 1945.10i 0.195821 + 0.135382i
\(592\) −11269.2 610.999i −0.782368 0.0424188i
\(593\) −3170.20 6852.29i −0.219536 0.474519i 0.766246 0.642547i \(-0.222122\pi\)
−0.985782 + 0.168028i \(0.946260\pi\)
\(594\) −19510.3 7171.28i −1.34767 0.495356i
\(595\) −4874.43 1642.39i −0.335853 0.113162i
\(596\) −1504.27 3775.45i −0.103385 0.259477i
\(597\) 18576.9 + 168.708i 1.27354 + 0.0115657i
\(598\) 2936.61 + 481.433i 0.200814 + 0.0329218i
\(599\) 17359.9 + 14745.6i 1.18415 + 1.00583i 0.999736 + 0.0229764i \(0.00731426\pi\)
0.184413 + 0.982849i \(0.440962\pi\)
\(600\) −3010.03 4527.44i −0.204807 0.308053i
\(601\) −541.277 2459.04i −0.0367373 0.166899i 0.954680 0.297634i \(-0.0961975\pi\)
−0.991417 + 0.130735i \(0.958266\pi\)
\(602\) 1027.80 + 3050.41i 0.0695849 + 0.206521i
\(603\) −7388.08 4090.51i −0.498949 0.276249i
\(604\) 4280.87 + 7114.86i 0.288388 + 0.479304i
\(605\) −288.058 2648.65i −0.0193574 0.177988i
\(606\) −17847.7 + 16601.3i −1.19639 + 1.11284i
\(607\) 12478.5 18404.4i 0.834407 1.23066i −0.136366 0.990659i \(-0.543542\pi\)
0.970773 0.240000i \(-0.0771475\pi\)
\(608\) 7528.13 + 7131.02i 0.502148 + 0.475660i
\(609\) 3926.18 2036.07i 0.261243 0.135477i
\(610\) −7970.03 3687.33i −0.529012 0.244747i
\(611\) −1473.97 + 2449.76i −0.0975948 + 0.162204i
\(612\) −1707.46 2958.14i −0.112778 0.195385i
\(613\) 10947.9 + 11557.5i 0.721338 + 0.761507i 0.978808 0.204779i \(-0.0656476\pi\)
−0.257470 + 0.966286i \(0.582889\pi\)
\(614\) 8387.67 + 30209.7i 0.551301 + 1.98561i
\(615\) −9749.93 + 3186.84i −0.639276 + 0.208952i
\(616\) 11935.2 9072.89i 0.780653 0.593437i
\(617\) 4268.12 + 1185.04i 0.278490 + 0.0773222i 0.403965 0.914774i \(-0.367632\pi\)
−0.125475 + 0.992097i \(0.540046\pi\)
\(618\) 3579.16 30343.5i 0.232969 1.97507i
\(619\) −1277.27 23557.8i −0.0829365 1.52967i −0.683414 0.730031i \(-0.739505\pi\)
0.600477 0.799642i \(-0.294977\pi\)
\(620\) 266.350 + 4912.53i 0.0172530 + 0.318213i
\(621\) −2545.96 10244.6i −0.164518 0.661998i
\(622\) −22261.8 6180.95i −1.43507 0.398446i
\(623\) −10718.7 + 8148.17i −0.689305 + 0.523996i
\(624\) −1438.29 4400.36i −0.0922720 0.282300i
\(625\) 601.163 + 2165.19i 0.0384745 + 0.138572i
\(626\) −22704.0 23968.4i −1.44958 1.53030i
\(627\) 11093.4 + 5255.20i 0.706586 + 0.334725i
\(628\) 2361.11 3924.20i 0.150030 0.249351i
\(629\) −3591.79 1661.74i −0.227685 0.105338i
\(630\) 2217.92 17440.3i 0.140261 1.10292i
\(631\) −12919.5 12238.0i −0.815080 0.772085i 0.161584 0.986859i \(-0.448340\pi\)
−0.976664 + 0.214774i \(0.931098\pi\)
\(632\) −5476.26 + 8076.87i −0.344674 + 0.508356i
\(633\) −7483.38 8045.20i −0.469885 0.505163i
\(634\) −3852.46 35422.8i −0.241326 2.21896i
\(635\) −8226.40 13672.4i −0.514102 0.854444i
\(636\) 863.821 + 8674.94i 0.0538565 + 0.540855i
\(637\) 1801.49 + 5346.64i 0.112053 + 0.332561i
\(638\) 931.018 + 4229.66i 0.0577733 + 0.262467i
\(639\) 85.8683 4727.22i 0.00531596 0.292654i
\(640\) −6865.89 5831.94i −0.424059 0.360199i
\(641\) −8259.17 1354.02i −0.508920 0.0834332i −0.0981488 0.995172i \(-0.531292\pi\)
−0.410771 + 0.911739i \(0.634740\pi\)
\(642\) 284.800 31360.2i 0.0175080 1.92786i
\(643\) −1485.95 3729.45i −0.0911354 0.228733i 0.876342 0.481689i \(-0.159976\pi\)
−0.967478 + 0.252956i \(0.918597\pi\)
\(644\) −9394.72 3165.45i −0.574851 0.193690i
\(645\) 671.007 775.585i 0.0409626 0.0473467i
\(646\) 2344.29 + 5067.09i 0.142778 + 0.308610i
\(647\) −4395.66 238.326i −0.267096 0.0144815i −0.0798956 0.996803i \(-0.525459\pi\)
−0.187201 + 0.982322i \(0.559941\pi\)
\(648\) −6728.64 + 5925.21i −0.407911 + 0.359204i
\(649\) −16505.5 + 9355.48i −0.998304 + 0.565847i
\(650\) 3364.69i 0.203037i
\(651\) −15943.2 + 20582.2i −0.959851 + 1.23914i
\(652\) −16141.3 + 7467.77i −0.969545 + 0.448559i
\(653\) −1245.69 + 11453.9i −0.0746515 + 0.686409i 0.895691 + 0.444676i \(0.146681\pi\)
−0.970343 + 0.241733i \(0.922284\pi\)
\(654\) 4657.77 + 6244.09i 0.278491 + 0.373338i
\(655\) 6830.79 2721.64i 0.407483 0.162356i
\(656\) 20615.6 13977.8i 1.22699 0.831920i
\(657\) −4672.23 23227.8i −0.277444 1.37931i
\(658\) 17067.6 20093.5i 1.01119 1.19047i
\(659\) 3265.55 8195.91i 0.193031 0.484472i −0.800323 0.599569i \(-0.795339\pi\)
0.993354 + 0.115097i \(0.0367179\pi\)
\(660\) 5756.72 + 2354.48i 0.339515 + 0.138861i
\(661\) −14034.4 + 4728.75i −0.825834 + 0.278256i −0.700314 0.713835i \(-0.746956\pi\)
−0.125520 + 0.992091i \(0.540060\pi\)
\(662\) 7700.53 + 9065.77i 0.452099 + 0.532252i
\(663\) 102.607 1620.16i 0.00601042 0.0949046i
\(664\) 2532.57 275.434i 0.148016 0.0160978i
\(665\) −2231.85 + 10139.4i −0.130147 + 0.591262i
\(666\) 3147.28 13155.4i 0.183115 0.765409i
\(667\) −1512.53 + 1596.76i −0.0878043 + 0.0926939i
\(668\) 3375.30 + 1789.47i 0.195500 + 0.103648i
\(669\) 28986.0 17083.7i 1.67513 0.987285i
\(670\) 5993.06 + 3605.90i 0.345570 + 0.207923i
\(671\) 16223.9 2659.78i 0.933409 0.153025i
\(672\) 4248.74 + 27476.9i 0.243897 + 1.57730i
\(673\) −11798.9 + 3275.94i −0.675799 + 0.187635i −0.588438 0.808542i \(-0.700257\pi\)
−0.0873608 + 0.996177i \(0.527843\pi\)
\(674\) −10159.2 + 13364.2i −0.580591 + 0.763754i
\(675\) 10965.0 4714.72i 0.625251 0.268844i
\(676\) 2508.38 9034.36i 0.142716 0.514017i
\(677\) 14605.5 7743.37i 0.829153 0.439589i 0.000938053 1.00000i \(-0.499701\pi\)
0.828215 + 0.560410i \(0.189357\pi\)
\(678\) −33422.4 20525.2i −1.89318 1.16264i
\(679\) −41285.4 + 2238.43i −2.33341 + 0.126514i
\(680\) −1017.63 1919.46i −0.0573888 0.108247i
\(681\) 16491.4 + 19776.4i 0.927978 + 1.11283i
\(682\) −15428.6 20295.9i −0.866261 1.13955i
\(683\) −4287.09 3258.96i −0.240177 0.182578i 0.478161 0.878272i \(-0.341304\pi\)
−0.718338 + 0.695694i \(0.755097\pi\)
\(684\) −5563.16 + 4071.73i −0.310984 + 0.227612i
\(685\) −10312.1 + 9768.12i −0.575189 + 0.544848i
\(686\) −2698.56 16460.5i −0.150192 0.916129i
\(687\) 4783.67 + 10591.1i 0.265660 + 0.588173i
\(688\) −1045.65 + 2260.13i −0.0579431 + 0.125242i
\(689\) −1940.88 + 3660.89i −0.107317 + 0.202422i
\(690\) 1801.84 + 8555.18i 0.0994129 + 0.472015i
\(691\) 26772.4 + 18152.1i 1.47391 + 0.999335i 0.992421 + 0.122881i \(0.0392134\pi\)
0.481487 + 0.876453i \(0.340097\pi\)
\(692\) 2320.15 + 510.703i 0.127455 + 0.0280550i
\(693\) 14886.3 + 29354.7i 0.815995 + 1.60908i
\(694\) 16617.1 9998.16i 0.908898 0.546866i
\(695\) −8522.42 + 7239.01i −0.465142 + 0.395095i
\(696\) 1795.31 + 516.072i 0.0977746 + 0.0281058i
\(697\) 8530.07 1877.61i 0.463557 0.102037i
\(698\) 32324.2 + 12879.1i 1.75285 + 0.698400i
\(699\) 4819.24 + 17989.5i 0.260773 + 0.973428i
\(700\) 1813.44 11061.5i 0.0979168 0.597266i
\(701\) −14503.1 21390.5i −0.781420 1.15251i −0.984848 0.173419i \(-0.944519\pi\)
0.203428 0.979090i \(-0.434792\pi\)
\(702\) 5498.00 748.184i 0.295596 0.0402256i
\(703\) −2550.59 + 7569.88i −0.136838 + 0.406122i
\(704\) −522.061 56.7775i −0.0279487 0.00303961i
\(705\) −8276.35 1434.14i −0.442135 0.0766137i
\(706\) 853.170 15735.8i 0.0454809 0.838845i
\(707\) 38595.8 2.05310
\(708\) −203.362 10653.4i −0.0107949 0.565510i
\(709\) 16348.6 0.865985 0.432992 0.901398i \(-0.357458\pi\)
0.432992 + 0.901398i \(0.357458\pi\)
\(710\) −211.999 + 3910.08i −0.0112059 + 0.206680i
\(711\) −15283.1 15012.8i −0.806132 0.791877i
\(712\) −5653.49 614.855i −0.297575 0.0323633i
\(713\) 4134.02 12269.3i 0.217139 0.644447i
\(714\) −3350.73 + 14590.2i −0.175628 + 0.764738i
\(715\) 1658.96 + 2446.78i 0.0867712 + 0.127978i
\(716\) 3245.61 19797.4i 0.169405 1.03333i
\(717\) 21753.5 5827.58i 1.13305 0.303536i
\(718\) 617.361 + 245.979i 0.0320887 + 0.0127853i
\(719\) 12192.4 2683.75i 0.632405 0.139203i 0.112811 0.993616i \(-0.464014\pi\)
0.519594 + 0.854414i \(0.326083\pi\)
\(720\) 10524.6 8615.53i 0.544760 0.445947i
\(721\) −36873.0 + 31320.2i −1.90461 + 1.61779i
\(722\) −11143.7 + 6704.94i −0.574412 + 0.345612i
\(723\) −6371.48 + 11758.6i −0.327743 + 0.604851i
\(724\) 4538.24 + 998.942i 0.232959 + 0.0512781i
\(725\) −2058.32 1395.58i −0.105440 0.0714902i
\(726\) −7587.50 + 1598.03i −0.387877 + 0.0816923i
\(727\) 8883.88 16756.8i 0.453211 0.854847i −0.546636 0.837370i \(-0.684092\pi\)
0.999847 0.0174770i \(-0.00556339\pi\)
\(728\) −1680.38 + 3632.09i −0.0855482 + 0.184909i
\(729\) −10142.2 16868.8i −0.515277 0.857023i
\(730\) 3174.67 + 19364.6i 0.160959 + 0.981803i
\(731\) −633.987 + 600.545i −0.0320778 + 0.0303857i
\(732\) −3027.55 + 8722.86i −0.152871 + 0.440446i
\(733\) −22716.2 17268.4i −1.14467 0.870153i −0.151686 0.988429i \(-0.548470\pi\)
−0.992981 + 0.118275i \(0.962263\pi\)
\(734\) −19154.5 25197.3i −0.963221 1.26710i
\(735\) −12730.5 + 10615.9i −0.638874 + 0.532753i
\(736\) −6476.49 12215.9i −0.324357 0.611801i
\(737\) −13075.0 + 708.904i −0.653490 + 0.0354312i
\(738\) 12040.8 + 27317.1i 0.600582 + 1.36254i
\(739\) −9675.69 + 5129.73i −0.481632 + 0.255345i −0.691489 0.722387i \(-0.743045\pi\)
0.209857 + 0.977732i \(0.432700\pi\)
\(740\) −1082.78 + 3899.83i −0.0537891 + 0.193731i
\(741\) −3273.38 + 147.678i −0.162282 + 0.00732128i
\(742\) 23123.2 30418.1i 1.14404 1.50496i
\(743\) −13637.4 + 3786.40i −0.673361 + 0.186958i −0.587346 0.809336i \(-0.699827\pi\)
−0.0860151 + 0.996294i \(0.527413\pi\)
\(744\) −10867.1 + 1680.38i −0.535495 + 0.0828035i
\(745\) 5600.38 918.136i 0.275412 0.0451516i
\(746\) 17243.6 + 10375.1i 0.846291 + 0.509196i
\(747\) −404.160 + 5578.12i −0.0197958 + 0.273217i
\(748\) −4679.06 2480.68i −0.228721 0.121260i
\(749\) −34149.9 + 36051.6i −1.66597 + 1.75874i
\(750\) −22757.4 + 8828.74i −1.10797 + 0.429840i
\(751\) −6226.00 + 28285.0i −0.302517 + 1.37435i 0.542701 + 0.839926i \(0.317402\pi\)
−0.845218 + 0.534422i \(0.820529\pi\)
\(752\) 20276.7 2205.22i 0.983263 0.106936i
\(753\) −20368.9 1289.99i −0.985768 0.0624298i
\(754\) −748.430 881.120i −0.0361488 0.0425577i
\(755\) −10988.1 + 3702.31i −0.529664 + 0.178465i
\(756\) −18478.1 503.542i −0.888944 0.0242244i
\(757\) 5436.58 13644.8i 0.261025 0.655123i −0.738798 0.673926i \(-0.764606\pi\)
0.999823 + 0.0188037i \(0.00598577\pi\)
\(758\) 27710.4 32623.2i 1.32782 1.56323i
\(759\) −11780.3 11363.6i −0.563369 0.543442i
\(760\) −3629.48 + 2460.85i −0.173230 + 0.117453i
\(761\) −9862.61 + 3929.62i −0.469802 + 0.187186i −0.593011 0.805195i \(-0.702061\pi\)
0.123209 + 0.992381i \(0.460682\pi\)
\(762\) −37223.4 + 27766.7i −1.76963 + 1.32006i
\(763\) 1333.62 12262.4i 0.0632768 0.581821i
\(764\) −3008.19 + 1391.74i −0.142451 + 0.0659048i
\(765\) 4546.77 1440.58i 0.214887 0.0680839i
\(766\) 25509.5i 1.20326i
\(767\) 2722.93 4270.19i 0.128187 0.201027i
\(768\) −15206.0 + 21994.5i −0.714454 + 1.03341i
\(769\) −1997.69 108.311i −0.0936780 0.00507907i 0.00724030 0.999974i \(-0.497695\pi\)
−0.100918 + 0.994895i \(0.532178\pi\)
\(770\) −11446.1 24740.2i −0.535698 1.15789i
\(771\) 28162.7 + 24365.3i 1.31551 + 1.13813i
\(772\) −6016.70 2027.26i −0.280500 0.0945113i
\(773\) −3209.26 8054.63i −0.149326