Properties

Label 63.4.o.a.20.19
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 20.19
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.19

$q$-expansion

\(f(q)\) \(=\) \(q+(3.92583 + 2.26658i) q^{2} +(-3.93727 + 3.39086i) q^{3} +(6.27474 + 10.8682i) q^{4} +(0.0687529 + 0.119084i) q^{5} +(-23.1427 + 4.38780i) q^{6} +(2.53789 + 18.3455i) q^{7} +20.6235i q^{8} +(4.00416 - 26.7014i) q^{9} +O(q^{10})\) \(q+(3.92583 + 2.26658i) q^{2} +(-3.93727 + 3.39086i) q^{3} +(6.27474 + 10.8682i) q^{4} +(0.0687529 + 0.119084i) q^{5} +(-23.1427 + 4.38780i) q^{6} +(2.53789 + 18.3455i) q^{7} +20.6235i q^{8} +(4.00416 - 26.7014i) q^{9} +0.623335i q^{10} +(8.78077 + 5.06958i) q^{11} +(-61.5578 - 21.5142i) q^{12} +(13.1146 - 7.57170i) q^{13} +(-31.6183 + 77.7738i) q^{14} +(-0.674494 - 0.235732i) q^{15} +(3.45316 - 5.98105i) q^{16} +88.2223 q^{17} +(76.2405 - 95.7495i) q^{18} -66.1014i q^{19} +(-0.862814 + 1.49444i) q^{20} +(-72.1995 - 63.6257i) q^{21} +(22.9812 + 39.8046i) q^{22} +(-49.7310 + 28.7122i) q^{23} +(-69.9314 - 81.2003i) q^{24} +(62.4905 - 108.237i) q^{25} +68.6473 q^{26} +(74.7753 + 118.708i) q^{27} +(-183.458 + 142.696i) q^{28} +(102.744 + 59.3195i) q^{29} +(-2.11364 - 2.45424i) q^{30} +(-266.140 + 153.656i) q^{31} +(169.997 - 98.1477i) q^{32} +(-51.7625 + 9.81404i) q^{33} +(346.345 + 199.963i) q^{34} +(-2.01016 + 1.56353i) q^{35} +(315.321 - 124.027i) q^{36} -337.159 q^{37} +(149.824 - 259.503i) q^{38} +(-25.9610 + 74.2814i) q^{39} +(-2.45592 + 1.41793i) q^{40} +(-220.622 - 382.129i) q^{41} +(-139.230 - 413.429i) q^{42} +(46.7113 - 80.9064i) q^{43} +127.241i q^{44} +(3.45500 - 1.35897i) q^{45} -260.314 q^{46} +(155.927 - 270.073i) q^{47} +(6.68487 + 35.2581i) q^{48} +(-330.118 + 93.1181i) q^{49} +(490.654 - 283.279i) q^{50} +(-347.355 + 299.149i) q^{51} +(164.581 + 95.0209i) q^{52} +321.580i q^{53} +(24.4935 + 635.512i) q^{54} +1.39419i q^{55} +(-378.350 + 52.3403i) q^{56} +(224.140 + 260.259i) q^{57} +(268.904 + 465.756i) q^{58} +(287.300 + 497.619i) q^{59} +(-1.67029 - 8.80968i) q^{60} +(-634.571 - 366.369i) q^{61} -1393.09 q^{62} +(500.015 + 5.69314i) q^{63} +834.587 q^{64} +(1.80333 + 1.04115i) q^{65} +(-225.455 - 78.7953i) q^{66} +(31.6068 + 54.7445i) q^{67} +(553.572 + 958.815i) q^{68} +(98.4453 - 281.678i) q^{69} +(-11.4354 + 1.58196i) q^{70} +621.395i q^{71} +(550.677 + 82.5799i) q^{72} -95.2953i q^{73} +(-1323.63 - 764.196i) q^{74} +(120.974 + 638.054i) q^{75} +(718.401 - 414.769i) q^{76} +(-70.7195 + 173.954i) q^{77} +(-270.283 + 232.773i) q^{78} +(425.124 - 736.337i) q^{79} +0.949659 q^{80} +(-696.933 - 213.834i) q^{81} -2000.23i q^{82} +(-70.1533 + 121.509i) q^{83} +(238.462 - 1183.91i) q^{84} +(6.06554 + 10.5058i) q^{85} +(366.761 - 211.750i) q^{86} +(-605.676 + 114.835i) q^{87} +(-104.553 + 181.090i) q^{88} +1223.70 q^{89} +(16.6439 + 2.49594i) q^{90} +(172.190 + 221.378i) q^{91} +(-624.098 - 360.323i) q^{92} +(526.838 - 1507.43i) q^{93} +(1224.28 - 706.841i) q^{94} +(7.87159 - 4.54466i) q^{95} +(-336.518 + 962.869i) q^{96} +(671.481 + 387.680i) q^{97} +(-1507.05 - 382.673i) q^{98} +(170.525 - 214.160i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} + O(q^{10}) \) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} - 18q^{11} + 204q^{14} + 66q^{15} - 242q^{16} - 210q^{18} - 57q^{21} - 34q^{22} - 102q^{23} - 352q^{25} + 300q^{28} + 246q^{29} - 144q^{30} + 1068q^{32} - 1818q^{36} + 328q^{37} - 798q^{39} - 1158q^{42} - 170q^{43} + 968q^{46} - 79q^{49} + 288q^{50} - 204q^{51} + 1212q^{56} + 324q^{57} - 538q^{58} + 5316q^{60} + 783q^{63} - 808q^{64} + 4350q^{65} - 590q^{67} + 384q^{70} + 4284q^{72} - 5304q^{74} - 2787q^{77} + 612q^{78} - 302q^{79} - 3720q^{81} + 7050q^{84} - 612q^{85} - 13692q^{86} + 1294q^{88} + 210q^{91} - 10194q^{92} - 4266q^{93} + 6336q^{95} + 1014q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.92583 + 2.26658i 1.38799 + 0.801356i 0.993089 0.117368i \(-0.0374456\pi\)
0.394901 + 0.918724i \(0.370779\pi\)
\(3\) −3.93727 + 3.39086i −0.757728 + 0.652571i
\(4\) 6.27474 + 10.8682i 0.784343 + 1.35852i
\(5\) 0.0687529 + 0.119084i 0.00614945 + 0.0106512i 0.869084 0.494665i \(-0.164709\pi\)
−0.862934 + 0.505316i \(0.831376\pi\)
\(6\) −23.1427 + 4.38780i −1.57466 + 0.298552i
\(7\) 2.53789 + 18.3455i 0.137033 + 0.990566i
\(8\) 20.6235i 0.911439i
\(9\) 4.00416 26.7014i 0.148302 0.988942i
\(10\) 0.623335i 0.0197116i
\(11\) 8.78077 + 5.06958i 0.240682 + 0.138958i 0.615490 0.788145i \(-0.288958\pi\)
−0.374808 + 0.927102i \(0.622291\pi\)
\(12\) −61.5578 21.5142i −1.48085 0.517550i
\(13\) 13.1146 7.57170i 0.279794 0.161539i −0.353536 0.935421i \(-0.615021\pi\)
0.633330 + 0.773882i \(0.281687\pi\)
\(14\) −31.6183 + 77.7738i −0.603595 + 1.48471i
\(15\) −0.674494 0.235732i −0.0116102 0.00405772i
\(16\) 3.45316 5.98105i 0.0539556 0.0934538i
\(17\) 88.2223 1.25865 0.629325 0.777142i \(-0.283331\pi\)
0.629325 + 0.777142i \(0.283331\pi\)
\(18\) 76.2405 95.7495i 0.998337 1.25380i
\(19\) 66.1014i 0.798142i −0.916920 0.399071i \(-0.869333\pi\)
0.916920 0.399071i \(-0.130667\pi\)
\(20\) −0.862814 + 1.49444i −0.00964655 + 0.0167083i
\(21\) −72.1995 63.6257i −0.750249 0.661156i
\(22\) 22.9812 + 39.8046i 0.222709 + 0.385744i
\(23\) −49.7310 + 28.7122i −0.450854 + 0.260300i −0.708191 0.706021i \(-0.750488\pi\)
0.257337 + 0.966322i \(0.417155\pi\)
\(24\) −69.9314 81.2003i −0.594779 0.690623i
\(25\) 62.4905 108.237i 0.499924 0.865894i
\(26\) 68.6473 0.517802
\(27\) 74.7753 + 118.708i 0.532982 + 0.846127i
\(28\) −183.458 + 142.696i −1.23822 + 0.963106i
\(29\) 102.744 + 59.3195i 0.657902 + 0.379840i 0.791477 0.611199i \(-0.209312\pi\)
−0.133575 + 0.991039i \(0.542646\pi\)
\(30\) −2.11364 2.45424i −0.0128632 0.0149360i
\(31\) −266.140 + 153.656i −1.54194 + 0.890238i −0.543221 + 0.839590i \(0.682796\pi\)
−0.998717 + 0.0506486i \(0.983871\pi\)
\(32\) 169.997 98.1477i 0.939109 0.542195i
\(33\) −51.7625 + 9.81404i −0.273051 + 0.0517699i
\(34\) 346.345 + 199.963i 1.74699 + 1.00863i
\(35\) −2.01016 + 1.56353i −0.00970800 + 0.00755100i
\(36\) 315.321 124.027i 1.45982 0.574198i
\(37\) −337.159 −1.49807 −0.749035 0.662531i \(-0.769482\pi\)
−0.749035 + 0.662531i \(0.769482\pi\)
\(38\) 149.824 259.503i 0.639596 1.10781i
\(39\) −25.9610 + 74.2814i −0.106592 + 0.304988i
\(40\) −2.45592 + 1.41793i −0.00970788 + 0.00560485i
\(41\) −220.622 382.129i −0.840376 1.45557i −0.889577 0.456785i \(-0.849001\pi\)
0.0492008 0.998789i \(-0.484333\pi\)
\(42\) −139.230 413.429i −0.511516 1.51889i
\(43\) 46.7113 80.9064i 0.165661 0.286933i −0.771229 0.636558i \(-0.780358\pi\)
0.936890 + 0.349625i \(0.113691\pi\)
\(44\) 127.241i 0.435962i
\(45\) 3.45500 1.35897i 0.0114454 0.00450186i
\(46\) −260.314 −0.834373
\(47\) 155.927 270.073i 0.483921 0.838176i −0.515909 0.856644i \(-0.672546\pi\)
0.999829 + 0.0184681i \(0.00587892\pi\)
\(48\) 6.68487 + 35.2581i 0.0201016 + 0.106022i
\(49\) −330.118 + 93.1181i −0.962444 + 0.271481i
\(50\) 490.654 283.279i 1.38778 0.801235i
\(51\) −347.355 + 299.149i −0.953714 + 0.821358i
\(52\) 164.581 + 95.0209i 0.438909 + 0.253404i
\(53\) 321.580i 0.833441i 0.909035 + 0.416721i \(0.136821\pi\)
−0.909035 + 0.416721i \(0.863179\pi\)
\(54\) 24.4935 + 635.512i 0.0617248 + 1.60152i
\(55\) 1.39419i 0.00341805i
\(56\) −378.350 + 52.3403i −0.902841 + 0.124898i
\(57\) 224.140 + 260.259i 0.520844 + 0.604774i
\(58\) 268.904 + 465.756i 0.608774 + 1.05443i
\(59\) 287.300 + 497.619i 0.633955 + 1.09804i 0.986736 + 0.162336i \(0.0519027\pi\)
−0.352781 + 0.935706i \(0.614764\pi\)
\(60\) −1.67029 8.80968i −0.00359390 0.0189554i
\(61\) −634.571 366.369i −1.33194 0.768997i −0.346344 0.938107i \(-0.612577\pi\)
−0.985597 + 0.169111i \(0.945910\pi\)
\(62\) −1393.09 −2.85359
\(63\) 500.015 + 5.69314i 0.999935 + 0.0113852i
\(64\) 834.587 1.63005
\(65\) 1.80333 + 1.04115i 0.00344116 + 0.00198676i
\(66\) −225.455 78.7953i −0.420478 0.146955i
\(67\) 31.6068 + 54.7445i 0.0576325 + 0.0998225i 0.893402 0.449258i \(-0.148311\pi\)
−0.835770 + 0.549080i \(0.814978\pi\)
\(68\) 553.572 + 958.815i 0.987213 + 1.70990i
\(69\) 98.4453 281.678i 0.171760 0.491451i
\(70\) −11.4354 + 1.58196i −0.0195256 + 0.00270115i
\(71\) 621.395i 1.03868i 0.854569 + 0.519338i \(0.173822\pi\)
−0.854569 + 0.519338i \(0.826178\pi\)
\(72\) 550.677 + 82.5799i 0.901360 + 0.135169i
\(73\) 95.2953i 0.152787i −0.997078 0.0763937i \(-0.975659\pi\)
0.997078 0.0763937i \(-0.0243406\pi\)
\(74\) −1323.63 764.196i −2.07930 1.20049i
\(75\) 120.974 + 638.054i 0.186251 + 0.982348i
\(76\) 718.401 414.769i 1.08429 0.626017i
\(77\) −70.7195 + 173.954i −0.104665 + 0.257453i
\(78\) −270.283 + 232.773i −0.392353 + 0.337903i
\(79\) 425.124 736.337i 0.605446 1.04866i −0.386535 0.922275i \(-0.626328\pi\)
0.991981 0.126388i \(-0.0403385\pi\)
\(80\) 0.949659 0.00132719
\(81\) −696.933 213.834i −0.956013 0.293325i
\(82\) 2000.23i 2.69376i
\(83\) −70.1533 + 121.509i −0.0927750 + 0.160691i −0.908678 0.417498i \(-0.862907\pi\)
0.815903 + 0.578189i \(0.196240\pi\)
\(84\) 238.462 1183.91i 0.309742 1.53780i
\(85\) 6.06554 + 10.5058i 0.00774000 + 0.0134061i
\(86\) 366.761 211.750i 0.459871 0.265506i
\(87\) −605.676 + 114.835i −0.746383 + 0.141513i
\(88\) −104.553 + 181.090i −0.126652 + 0.219367i
\(89\) 1223.70 1.45744 0.728720 0.684812i \(-0.240116\pi\)
0.728720 + 0.684812i \(0.240116\pi\)
\(90\) 16.6439 + 2.49594i 0.0194936 + 0.00292327i
\(91\) 172.190 + 221.378i 0.198357 + 0.255019i
\(92\) −624.098 360.323i −0.707247 0.408330i
\(93\) 526.838 1507.43i 0.587425 1.68078i
\(94\) 1224.28 706.841i 1.34335 0.775586i
\(95\) 7.87159 4.54466i 0.00850114 0.00490813i
\(96\) −336.518 + 962.869i −0.357768 + 1.02367i
\(97\) 671.481 + 387.680i 0.702872 + 0.405803i 0.808416 0.588611i \(-0.200325\pi\)
−0.105544 + 0.994415i \(0.533658\pi\)
\(98\) −1507.05 382.673i −1.55341 0.394447i
\(99\) 170.525 214.160i 0.173115 0.217413i
\(100\) 1568.45 1.56845
\(101\) 263.211 455.895i 0.259312 0.449141i −0.706746 0.707467i \(-0.749838\pi\)
0.966058 + 0.258326i \(0.0831709\pi\)
\(102\) −2041.70 + 387.102i −1.98194 + 0.375772i
\(103\) −378.997 + 218.814i −0.362560 + 0.209324i −0.670203 0.742178i \(-0.733793\pi\)
0.307643 + 0.951502i \(0.400460\pi\)
\(104\) 156.155 + 270.468i 0.147233 + 0.255015i
\(105\) 2.61285 12.9722i 0.00242845 0.0120568i
\(106\) −728.886 + 1262.47i −0.667883 + 1.15681i
\(107\) 1443.67i 1.30434i −0.758071 0.652172i \(-0.773858\pi\)
0.758071 0.652172i \(-0.226142\pi\)
\(108\) −820.946 + 1557.53i −0.731441 + 1.38772i
\(109\) −1201.61 −1.05590 −0.527950 0.849276i \(-0.677039\pi\)
−0.527950 + 0.849276i \(0.677039\pi\)
\(110\) −3.16005 + 5.47336i −0.00273908 + 0.00474422i
\(111\) 1327.48 1143.26i 1.13513 0.977597i
\(112\) 118.489 + 48.1708i 0.0999660 + 0.0406403i
\(113\) 404.622 233.609i 0.336846 0.194478i −0.322030 0.946729i \(-0.604365\pi\)
0.658877 + 0.752251i \(0.271032\pi\)
\(114\) 290.040 + 1529.76i 0.238287 + 1.25680i
\(115\) −6.83830 3.94810i −0.00554500 0.00320141i
\(116\) 1488.86i 1.19170i
\(117\) −149.662 380.496i −0.118259 0.300657i
\(118\) 2604.75i 2.03209i
\(119\) 223.899 + 1618.49i 0.172477 + 1.24678i
\(120\) 4.86163 13.9104i 0.00369837 0.0105820i
\(121\) −614.099 1063.65i −0.461381 0.799136i
\(122\) −1660.81 2876.61i −1.23248 2.13472i
\(123\) 2164.40 + 756.446i 1.58664 + 0.554524i
\(124\) −3339.91 1928.30i −2.41882 1.39650i
\(125\) 34.3739 0.0245959
\(126\) 1950.07 + 1155.67i 1.37878 + 0.817107i
\(127\) 1185.39 0.828237 0.414119 0.910223i \(-0.364090\pi\)
0.414119 + 0.910223i \(0.364090\pi\)
\(128\) 1916.47 + 1106.47i 1.32339 + 0.764058i
\(129\) 90.4271 + 476.942i 0.0617183 + 0.325522i
\(130\) 4.71970 + 8.17477i 0.00318420 + 0.00551519i
\(131\) 693.151 + 1200.57i 0.462297 + 0.800722i 0.999075 0.0430017i \(-0.0136921\pi\)
−0.536778 + 0.843723i \(0.680359\pi\)
\(132\) −431.457 500.983i −0.284496 0.330340i
\(133\) 1212.67 167.758i 0.790613 0.109372i
\(134\) 286.557i 0.184737i
\(135\) −8.99518 + 17.0660i −0.00573468 + 0.0108801i
\(136\) 1819.45i 1.14718i
\(137\) −801.189 462.566i −0.499636 0.288465i 0.228927 0.973444i \(-0.426478\pi\)
−0.728563 + 0.684978i \(0.759812\pi\)
\(138\) 1024.93 882.687i 0.632228 0.544488i
\(139\) −2339.20 + 1350.54i −1.42740 + 0.824107i −0.996915 0.0784926i \(-0.974989\pi\)
−0.430481 + 0.902600i \(0.641656\pi\)
\(140\) −29.6060 12.0361i −0.0178726 0.00726595i
\(141\) 301.854 + 1592.08i 0.180289 + 0.950901i
\(142\) −1408.44 + 2439.49i −0.832350 + 1.44167i
\(143\) 153.541 0.0897886
\(144\) −145.875 116.153i −0.0844187 0.0672184i
\(145\) 16.3136i 0.00934322i
\(146\) 215.994 374.113i 0.122437 0.212067i
\(147\) 984.013 1486.01i 0.552109 0.833772i
\(148\) −2115.58 3664.30i −1.17500 2.03516i
\(149\) −2532.14 + 1461.93i −1.39222 + 0.803798i −0.993561 0.113301i \(-0.963858\pi\)
−0.398659 + 0.917099i \(0.630524\pi\)
\(150\) −971.277 + 2779.08i −0.528696 + 1.51274i
\(151\) 359.334 622.384i 0.193657 0.335423i −0.752803 0.658246i \(-0.771299\pi\)
0.946459 + 0.322823i \(0.104632\pi\)
\(152\) 1363.24 0.727458
\(153\) 353.257 2355.66i 0.186661 1.24473i
\(154\) −671.913 + 522.622i −0.351586 + 0.273468i
\(155\) −36.5957 21.1286i −0.0189641 0.0109489i
\(156\) −970.202 + 183.948i −0.497938 + 0.0944079i
\(157\) 1417.53 818.411i 0.720581 0.416028i −0.0943856 0.995536i \(-0.530089\pi\)
0.814966 + 0.579508i \(0.196755\pi\)
\(158\) 3337.93 1927.15i 1.68070 0.970355i
\(159\) −1090.43 1266.15i −0.543880 0.631522i
\(160\) 23.3756 + 13.4959i 0.0115500 + 0.00666840i
\(161\) −652.953 839.474i −0.319627 0.410931i
\(162\) −2251.37 2419.13i −1.09188 1.17324i
\(163\) −2008.88 −0.965321 −0.482661 0.875808i \(-0.660330\pi\)
−0.482661 + 0.875808i \(0.660330\pi\)
\(164\) 2768.70 4795.52i 1.31829 2.28334i
\(165\) −4.72751 5.48931i −0.00223052 0.00258995i
\(166\) −550.820 + 318.016i −0.257541 + 0.148692i
\(167\) −83.5889 144.780i −0.0387323 0.0670864i 0.846009 0.533168i \(-0.178999\pi\)
−0.884742 + 0.466082i \(0.845665\pi\)
\(168\) 1312.19 1489.01i 0.602603 0.683806i
\(169\) −983.839 + 1704.06i −0.447810 + 0.775630i
\(170\) 54.9920i 0.0248100i
\(171\) −1765.00 264.681i −0.789316 0.118366i
\(172\) 1172.41 0.519739
\(173\) −473.704 + 820.479i −0.208179 + 0.360577i −0.951141 0.308757i \(-0.900087\pi\)
0.742962 + 0.669334i \(0.233420\pi\)
\(174\) −2638.06 921.990i −1.14937 0.401701i
\(175\) 2144.26 + 871.730i 0.926232 + 0.376552i
\(176\) 60.6428 35.0121i 0.0259723 0.0149951i
\(177\) −2818.53 985.064i −1.19691 0.418316i
\(178\) 4804.04 + 2773.61i 2.02291 + 1.16793i
\(179\) 2369.02i 0.989214i 0.869117 + 0.494607i \(0.164688\pi\)
−0.869117 + 0.494607i \(0.835312\pi\)
\(180\) 36.4488 + 29.0223i 0.0150929 + 0.0120178i
\(181\) 1499.79i 0.615904i 0.951402 + 0.307952i \(0.0996437\pi\)
−0.951402 + 0.307952i \(0.900356\pi\)
\(182\) 174.220 + 1259.37i 0.0709562 + 0.512917i
\(183\) 3740.78 709.244i 1.51107 0.286496i
\(184\) −592.147 1025.63i −0.237248 0.410926i
\(185\) −23.1806 40.1501i −0.00921230 0.0159562i
\(186\) 5484.97 4723.77i 2.16224 1.86217i
\(187\) 774.659 + 447.250i 0.302934 + 0.174899i
\(188\) 3913.61 1.51824
\(189\) −1988.00 + 1673.06i −0.765108 + 0.643902i
\(190\) 41.2033 0.0157326
\(191\) −685.886 395.997i −0.259838 0.150017i 0.364423 0.931234i \(-0.381266\pi\)
−0.624260 + 0.781216i \(0.714600\pi\)
\(192\) −3285.99 + 2829.97i −1.23514 + 1.06373i
\(193\) 2170.01 + 3758.56i 0.809330 + 1.40180i 0.913329 + 0.407223i \(0.133503\pi\)
−0.103999 + 0.994577i \(0.533164\pi\)
\(194\) 1757.41 + 3043.93i 0.650386 + 1.12650i
\(195\) −10.6306 + 2.01554i −0.00390396 + 0.000740182i
\(196\) −3083.43 3003.49i −1.12370 1.09457i
\(197\) 986.827i 0.356896i 0.983949 + 0.178448i \(0.0571076\pi\)
−0.983949 + 0.178448i \(0.942892\pi\)
\(198\) 1154.86 454.246i 0.414506 0.163040i
\(199\) 1621.78i 0.577714i −0.957372 0.288857i \(-0.906725\pi\)
0.957372 0.288857i \(-0.0932752\pi\)
\(200\) 2232.22 + 1288.77i 0.789210 + 0.455651i
\(201\) −310.075 108.370i −0.108811 0.0380289i
\(202\) 2066.64 1193.18i 0.719844 0.415602i
\(203\) −827.494 + 2035.45i −0.286102 + 0.703746i
\(204\) −5430.77 1898.03i −1.86387 0.651414i
\(205\) 30.3369 52.5450i 0.0103357 0.0179020i
\(206\) −1983.84 −0.670973
\(207\) 567.526 + 1442.86i 0.190559 + 0.484471i
\(208\) 104.585i 0.0348638i
\(209\) 335.106 580.421i 0.110908 0.192098i
\(210\) 39.6601 45.0045i 0.0130324 0.0147886i
\(211\) 181.071 + 313.625i 0.0590780 + 0.102326i 0.894052 0.447964i \(-0.147851\pi\)
−0.834974 + 0.550290i \(0.814517\pi\)
\(212\) −3494.99 + 2017.83i −1.13225 + 0.653704i
\(213\) −2107.06 2446.60i −0.677810 0.787034i
\(214\) 3272.19 5667.60i 1.04524 1.81042i
\(215\) 12.8462 0.00407489
\(216\) −2448.18 + 1542.13i −0.771193 + 0.485781i
\(217\) −3494.33 4492.51i −1.09314 1.40540i
\(218\) −4717.30 2723.53i −1.46558 0.846151i
\(219\) 323.133 + 375.203i 0.0997046 + 0.115771i
\(220\) −15.1523 + 8.74820i −0.00464350 + 0.00268093i
\(221\) 1157.00 667.993i 0.352163 0.203321i
\(222\) 7802.76 1479.38i 2.35895 0.447251i
\(223\) −115.589 66.7354i −0.0347104 0.0200401i 0.482544 0.875872i \(-0.339713\pi\)
−0.517255 + 0.855831i \(0.673046\pi\)
\(224\) 2232.01 + 2869.60i 0.665769 + 0.855951i
\(225\) −2639.86 2101.99i −0.782179 0.622810i
\(226\) 2117.97 0.623385
\(227\) −1770.11 + 3065.91i −0.517560 + 0.896439i 0.482232 + 0.876043i \(0.339826\pi\)
−0.999792 + 0.0203961i \(0.993507\pi\)
\(228\) −1422.12 + 4069.06i −0.413079 + 1.18193i
\(229\) −2093.97 + 1208.96i −0.604251 + 0.348865i −0.770712 0.637183i \(-0.780099\pi\)
0.166461 + 0.986048i \(0.446766\pi\)
\(230\) −17.8973 30.9991i −0.00513093 0.00888704i
\(231\) −311.412 924.703i −0.0886986 0.263381i
\(232\) −1223.38 + 2118.95i −0.346201 + 0.599638i
\(233\) 4957.61i 1.39392i −0.717110 0.696960i \(-0.754535\pi\)
0.717110 0.696960i \(-0.245465\pi\)
\(234\) 274.875 1832.98i 0.0767913 0.512076i
\(235\) 42.8817 0.0119034
\(236\) −3605.47 + 6244.86i −0.994475 + 1.72248i
\(237\) 822.985 + 4340.69i 0.225564 + 1.18970i
\(238\) −2789.44 + 6861.38i −0.759715 + 1.86873i
\(239\) −1649.02 + 952.059i −0.446301 + 0.257672i −0.706267 0.707946i \(-0.749622\pi\)
0.259966 + 0.965618i \(0.416289\pi\)
\(240\) −3.73906 + 3.22016i −0.00100565 + 0.000866085i
\(241\) 3592.48 + 2074.12i 0.960216 + 0.554381i 0.896240 0.443570i \(-0.146288\pi\)
0.0639765 + 0.997951i \(0.479622\pi\)
\(242\) 5567.61i 1.47892i
\(243\) 3469.09 1521.28i 0.915813 0.401606i
\(244\) 9195.50i 2.41263i
\(245\) −33.7854 32.9095i −0.00881009 0.00858168i
\(246\) 6782.50 + 7875.44i 1.75787 + 2.04114i
\(247\) −500.500 866.891i −0.128931 0.223316i
\(248\) −3168.92 5488.73i −0.811398 1.40538i
\(249\) −135.808 716.294i −0.0345641 0.182302i
\(250\) 134.946 + 77.9110i 0.0341389 + 0.0197101i
\(251\) −4077.88 −1.02547 −0.512737 0.858546i \(-0.671368\pi\)
−0.512737 + 0.858546i \(0.671368\pi\)
\(252\) 3075.59 + 5469.97i 0.768825 + 1.36736i
\(253\) −582.235 −0.144683
\(254\) 4653.62 + 2686.77i 1.14958 + 0.663713i
\(255\) −59.5054 20.7969i −0.0146132 0.00510725i
\(256\) 1677.47 + 2905.46i 0.409538 + 0.709341i
\(257\) −3830.27 6634.22i −0.929671 1.61024i −0.783871 0.620924i \(-0.786758\pi\)
−0.145801 0.989314i \(-0.546576\pi\)
\(258\) −726.024 + 2077.35i −0.175195 + 0.501280i
\(259\) −855.674 6185.36i −0.205286 1.48394i
\(260\) 26.1319i 0.00623319i
\(261\) 1995.32 2505.90i 0.473208 0.594296i
\(262\) 6284.32i 1.48186i
\(263\) 2695.92 + 1556.49i 0.632083 + 0.364933i 0.781558 0.623832i \(-0.214425\pi\)
−0.149475 + 0.988765i \(0.547758\pi\)
\(264\) −202.400 1067.52i −0.0471851 0.248869i
\(265\) −38.2949 + 22.1096i −0.00887711 + 0.00512520i
\(266\) 5140.96 + 2090.01i 1.18501 + 0.481755i
\(267\) −4818.04 + 4149.40i −1.10434 + 0.951082i
\(268\) −396.648 + 687.015i −0.0904073 + 0.156590i
\(269\) 4950.54 1.12208 0.561040 0.827789i \(-0.310401\pi\)
0.561040 + 0.827789i \(0.310401\pi\)
\(270\) −73.9950 + 46.6101i −0.0166785 + 0.0105059i
\(271\) 2802.02i 0.628084i 0.949409 + 0.314042i \(0.101683\pi\)
−0.949409 + 0.314042i \(0.898317\pi\)
\(272\) 304.646 527.662i 0.0679112 0.117626i
\(273\) −1428.62 287.750i −0.316718 0.0637929i
\(274\) −2096.88 3631.91i −0.462326 0.800773i
\(275\) 1097.43 633.601i 0.240645 0.138937i
\(276\) 3679.05 697.539i 0.802365 0.152127i
\(277\) −179.305 + 310.565i −0.0388930 + 0.0673647i −0.884817 0.465939i \(-0.845716\pi\)
0.845924 + 0.533304i \(0.179050\pi\)
\(278\) −12244.4 −2.64161
\(279\) 3037.16 + 7721.57i 0.651721 + 1.65691i
\(280\) −32.2455 41.4567i −0.00688228 0.00884825i
\(281\) 3092.08 + 1785.21i 0.656434 + 0.378993i 0.790917 0.611923i \(-0.209604\pi\)
−0.134483 + 0.990916i \(0.542937\pi\)
\(282\) −2423.54 + 6934.40i −0.511772 + 1.46432i
\(283\) −626.874 + 361.926i −0.131674 + 0.0760221i −0.564390 0.825508i \(-0.690889\pi\)
0.432716 + 0.901530i \(0.357555\pi\)
\(284\) −6753.43 + 3899.10i −1.41106 + 0.814679i
\(285\) −15.5822 + 44.5850i −0.00323864 + 0.00926662i
\(286\) 602.776 + 348.013i 0.124626 + 0.0719526i
\(287\) 6450.45 5017.24i 1.32668 1.03191i
\(288\) −1939.99 4932.16i −0.396927 1.00913i
\(289\) 2870.17 0.584199
\(290\) −36.9759 + 64.0442i −0.00748725 + 0.0129683i
\(291\) −3958.37 + 750.498i −0.797401 + 0.151185i
\(292\) 1035.69 597.954i 0.207565 0.119838i
\(293\) −4746.65 8221.43i −0.946424 1.63925i −0.752876 0.658163i \(-0.771334\pi\)
−0.193548 0.981091i \(-0.562000\pi\)
\(294\) 7231.23 3603.49i 1.43447 0.714830i
\(295\) −39.5055 + 68.4255i −0.00779694 + 0.0135047i
\(296\) 6953.40i 1.36540i
\(297\) 54.7837 + 1421.43i 0.0107033 + 0.277709i
\(298\) −13254.3 −2.57651
\(299\) −434.800 + 753.096i −0.0840975 + 0.145661i
\(300\) −6175.40 + 5318.39i −1.18846 + 1.02352i
\(301\) 1602.82 + 651.613i 0.306927 + 0.124779i
\(302\) 2821.36 1628.91i 0.537587 0.310376i
\(303\) 509.543 + 2687.49i 0.0966088 + 0.509546i
\(304\) −395.355 228.259i −0.0745894 0.0430642i
\(305\) 100.756i 0.0189156i
\(306\) 6726.11 8447.24i 1.25656 1.57809i
\(307\) 1940.82i 0.360809i −0.983593 0.180405i \(-0.942259\pi\)
0.983593 0.180405i \(-0.0577407\pi\)
\(308\) −2334.31 + 322.925i −0.431849 + 0.0597414i
\(309\) 750.246 2146.65i 0.138123 0.395207i
\(310\) −95.7790 165.894i −0.0175480 0.0303940i
\(311\) 33.9077 + 58.7299i 0.00618241 + 0.0107082i 0.869100 0.494636i \(-0.164699\pi\)
−0.862918 + 0.505345i \(0.831365\pi\)
\(312\) −1531.94 535.407i −0.277978 0.0971521i
\(313\) 5279.91 + 3048.36i 0.953477 + 0.550490i 0.894159 0.447749i \(-0.147774\pi\)
0.0593176 + 0.998239i \(0.481108\pi\)
\(314\) 7419.97 1.33354
\(315\) 33.6995 + 59.9349i 0.00602778 + 0.0107205i
\(316\) 10670.2 1.89951
\(317\) 4423.92 + 2554.15i 0.783823 + 0.452541i 0.837784 0.546002i \(-0.183851\pi\)
−0.0539602 + 0.998543i \(0.517184\pi\)
\(318\) −1411.03 7442.22i −0.248826 1.31239i
\(319\) 601.450 + 1041.74i 0.105563 + 0.182841i
\(320\) 57.3803 + 99.3856i 0.0100239 + 0.0173619i
\(321\) 4895.28 + 5684.12i 0.851178 + 0.988338i
\(322\) −660.649 4775.60i −0.114337 0.826502i
\(323\) 5831.62i 1.00458i
\(324\) −2049.09 8916.14i −0.351354 1.52883i
\(325\) 1892.64i 0.323030i
\(326\) −7886.50 4553.27i −1.33986 0.773566i
\(327\) 4731.05 4074.48i 0.800084 0.689049i
\(328\) 7880.85 4550.01i 1.32667 0.765952i
\(329\) 5350.37 + 2175.15i 0.896582 + 0.364498i
\(330\) −6.11744 32.2653i −0.00102047 0.00538227i
\(331\) 1118.47 1937.25i 0.185730 0.321694i −0.758092 0.652147i \(-0.773868\pi\)
0.943822 + 0.330454i \(0.107202\pi\)
\(332\) −1760.78 −0.291070
\(333\) −1350.04 + 9002.62i −0.222167 + 1.48150i
\(334\) 757.842i 0.124154i
\(335\) −4.34611 + 7.52769i −0.000708816 + 0.00122771i
\(336\) −629.865 + 212.119i −0.102268 + 0.0344406i
\(337\) −2759.92 4780.32i −0.446120 0.772703i 0.552009 0.833838i \(-0.313861\pi\)
−0.998129 + 0.0611353i \(0.980528\pi\)
\(338\) −7724.76 + 4459.89i −1.24311 + 0.717711i
\(339\) −800.972 + 2291.80i −0.128327 + 0.367178i
\(340\) −76.1194 + 131.843i −0.0121416 + 0.0210299i
\(341\) −3115.88 −0.494822
\(342\) −6329.17 5039.60i −1.00071 0.796815i
\(343\) −2546.11 5819.87i −0.400807 0.916162i
\(344\) 1668.57 + 963.352i 0.261522 + 0.150990i
\(345\) 40.3117 7.64300i 0.00629075 0.00119271i
\(346\) −3719.36 + 2147.37i −0.577901 + 0.333651i
\(347\) −7532.59 + 4348.94i −1.16533 + 0.672805i −0.952576 0.304300i \(-0.901578\pi\)
−0.212757 + 0.977105i \(0.568244\pi\)
\(348\) −5048.51 5862.03i −0.777668 0.902983i
\(349\) −3108.44 1794.66i −0.476764 0.275260i 0.242303 0.970201i \(-0.422097\pi\)
−0.719067 + 0.694941i \(0.755431\pi\)
\(350\) 6442.14 + 8282.38i 0.983848 + 1.26489i
\(351\) 1879.47 + 990.631i 0.285808 + 0.150644i
\(352\) 1990.27 0.301369
\(353\) 2114.60 3662.59i 0.318834 0.552237i −0.661411 0.750024i \(-0.730042\pi\)
0.980245 + 0.197786i \(0.0633753\pi\)
\(354\) −8832.35 10255.6i −1.32608 1.53977i
\(355\) −73.9979 + 42.7227i −0.0110631 + 0.00638729i
\(356\) 7678.41 + 13299.4i 1.14313 + 1.97996i
\(357\) −6369.61 5613.20i −0.944301 0.832163i
\(358\) −5369.58 + 9300.38i −0.792712 + 1.37302i
\(359\) 5830.19i 0.857119i 0.903513 + 0.428560i \(0.140979\pi\)
−0.903513 + 0.428560i \(0.859021\pi\)
\(360\) 28.0268 + 71.2542i 0.00410317 + 0.0104317i
\(361\) 2489.60 0.362969
\(362\) −3399.39 + 5887.92i −0.493559 + 0.854868i
\(363\) 6024.56 + 2105.55i 0.871095 + 0.304443i
\(364\) −1325.52 + 3260.48i −0.190869 + 0.469494i
\(365\) 11.3481 6.55183i 0.00162736 0.000939558i
\(366\) 16293.2 + 5694.40i 2.32694 + 0.813254i
\(367\) −6038.16 3486.13i −0.858826 0.495844i 0.00479270 0.999989i \(-0.498474\pi\)
−0.863619 + 0.504145i \(0.831808\pi\)
\(368\) 396.591i 0.0561787i
\(369\) −11086.8 + 4360.83i −1.56411 + 0.615218i
\(370\) 210.163i 0.0295293i
\(371\) −5899.56 + 816.136i −0.825579 + 0.114209i
\(372\) 19688.7 3732.94i 2.74412 0.520279i
\(373\) 2583.05 + 4473.98i 0.358567 + 0.621056i 0.987722 0.156224i \(-0.0499321\pi\)
−0.629155 + 0.777280i \(0.716599\pi\)
\(374\) 2027.45 + 3511.65i 0.280313 + 0.485516i
\(375\) −135.339 + 116.557i −0.0186370 + 0.0160506i
\(376\) 5569.86 + 3215.76i 0.763946 + 0.441064i
\(377\) 1796.60 0.245436
\(378\) −11596.7 + 2062.21i −1.57796 + 0.280605i
\(379\) 12063.2 1.63494 0.817472 0.575969i \(-0.195375\pi\)
0.817472 + 0.575969i \(0.195375\pi\)
\(380\) 98.7844 + 57.0332i 0.0133356 + 0.00769932i
\(381\) −4667.19 + 4019.48i −0.627578 + 0.540483i
\(382\) −1795.11 3109.23i −0.240435 0.416445i
\(383\) 106.285 + 184.092i 0.0141800 + 0.0245604i 0.873028 0.487670i \(-0.162153\pi\)
−0.858848 + 0.512230i \(0.828820\pi\)
\(384\) −11297.6 + 2141.99i −1.50137 + 0.284656i
\(385\) −25.5772 + 3.53831i −0.00338581 + 0.000468388i
\(386\) 19674.0i 2.59424i
\(387\) −1973.28 1571.22i −0.259192 0.206382i
\(388\) 9730.36i 1.27316i
\(389\) 12010.6 + 6934.30i 1.56545 + 0.903812i 0.996689 + 0.0813080i \(0.0259097\pi\)
0.568759 + 0.822504i \(0.307424\pi\)
\(390\) −46.3022 16.1824i −0.00601181 0.00210110i
\(391\) −4387.38 + 2533.06i −0.567467 + 0.327627i
\(392\) −1920.42 6808.20i −0.247439 0.877209i
\(393\) −6800.10 2376.60i −0.872823 0.305048i
\(394\) −2236.72 + 3874.11i −0.286001 + 0.495368i
\(395\) 116.914 0.0148926
\(396\) 3397.52 + 509.495i 0.431141 + 0.0646542i
\(397\) 13097.7i 1.65581i 0.560869 + 0.827905i \(0.310467\pi\)
−0.560869 + 0.827905i \(0.689533\pi\)
\(398\) 3675.89 6366.83i 0.462954 0.801861i
\(399\) −4205.75 + 4772.49i −0.527696 + 0.598805i
\(400\) −431.579 747.518i −0.0539474 0.0934397i
\(401\) 10477.0 6048.87i 1.30472 0.753282i 0.323513 0.946224i \(-0.395136\pi\)
0.981210 + 0.192941i \(0.0618027\pi\)
\(402\) −971.673 1128.25i −0.120554 0.139980i
\(403\) −2326.87 + 4030.26i −0.287617 + 0.498167i
\(404\) 6606.33 0.813558
\(405\) −22.4521 97.6950i −0.00275470 0.0119864i
\(406\) −7862.10 + 6115.24i −0.961058 + 0.747523i
\(407\) −2960.51 1709.25i −0.360558 0.208168i
\(408\) −6169.51 7163.68i −0.748618 0.869252i
\(409\) 12143.5 7011.04i 1.46811 0.847613i 0.468747 0.883332i \(-0.344706\pi\)
0.999362 + 0.0357194i \(0.0113723\pi\)
\(410\) 238.194 137.522i 0.0286917 0.0165651i
\(411\) 4722.99 895.469i 0.566832 0.107470i
\(412\) −4756.22 2746.00i −0.568743 0.328364i
\(413\) −8399.95 + 6533.59i −1.00081 + 0.778443i
\(414\) −1042.34 + 6950.75i −0.123740 + 0.825147i
\(415\) −19.2930 −0.00228206
\(416\) 1486.29 2574.33i 0.175172 0.303406i
\(417\) 4630.57 13249.3i 0.543789 1.55593i
\(418\) 2631.14 1519.09i 0.307878 0.177754i
\(419\) −4578.14 7929.57i −0.533787 0.924546i −0.999221 0.0394632i \(-0.987435\pi\)
0.465434 0.885082i \(-0.345898\pi\)
\(420\) 157.379 53.0005i 0.0182841 0.00615752i
\(421\) −6878.44 + 11913.8i −0.796281 + 1.37920i 0.125741 + 0.992063i \(0.459869\pi\)
−0.922022 + 0.387137i \(0.873464\pi\)
\(422\) 1641.65i 0.189370i
\(423\) −6586.99 5244.89i −0.757140 0.602873i
\(424\) −6632.11 −0.759631
\(425\) 5513.06 9548.90i 0.629230 1.08986i
\(426\) −2726.56 14380.7i −0.310099 1.63556i
\(427\) 5110.78 12571.4i 0.579222 1.42475i
\(428\) 15690.1 9058.66i 1.77198 1.02305i
\(429\) −604.533 + 520.637i −0.0680353 + 0.0585934i
\(430\) 50.4318 + 29.1168i 0.00565590 + 0.00326544i
\(431\) 14429.5i 1.61263i −0.591487 0.806314i \(-0.701459\pi\)
0.591487 0.806314i \(-0.298541\pi\)
\(432\) 968.211 37.3161i 0.107831 0.00415595i
\(433\) 11861.6i 1.31647i 0.752814 + 0.658233i \(0.228696\pi\)
−0.752814 + 0.658233i \(0.771304\pi\)
\(434\) −3535.52 25557.0i −0.391037 2.82667i
\(435\) −55.3169 64.2308i −0.00609711 0.00707962i
\(436\) −7539.77 13059.3i −0.828187 1.43446i
\(437\) 1897.92 + 3287.29i 0.207757 + 0.359845i
\(438\) 418.137 + 2205.39i 0.0456149 + 0.240588i
\(439\) −1856.80 1072.02i −0.201868 0.116549i 0.395658 0.918398i \(-0.370516\pi\)
−0.597527 + 0.801849i \(0.703850\pi\)
\(440\) −28.7532 −0.00311535
\(441\) 1164.54 + 9187.49i 0.125747 + 0.992062i
\(442\) 6056.23 0.651731
\(443\) −3418.13 1973.46i −0.366592 0.211652i 0.305376 0.952232i \(-0.401218\pi\)
−0.671969 + 0.740580i \(0.734551\pi\)
\(444\) 20754.7 + 7253.69i 2.21842 + 0.775326i
\(445\) 84.1330 + 145.723i 0.00896244 + 0.0155234i
\(446\) −302.522 523.983i −0.0321184 0.0556308i
\(447\) 5012.50 14342.1i 0.530388 1.51758i
\(448\) 2118.09 + 15311.0i 0.223372 + 1.61468i
\(449\) 1118.30i 0.117541i −0.998272 0.0587706i \(-0.981282\pi\)
0.998272 0.0587706i \(-0.0187180\pi\)
\(450\) −5599.30 14235.5i −0.586564 1.49126i
\(451\) 4473.85i 0.467107i
\(452\) 5077.80 + 2931.67i 0.528406 + 0.305075i
\(453\) 695.623 + 3668.94i 0.0721484 + 0.380534i
\(454\) −13898.3 + 8024.16i −1.43673 + 0.829499i
\(455\) −14.5239 + 35.7254i −0.00149646 + 0.00368095i
\(456\) −5367.45 + 4622.56i −0.551215 + 0.474718i
\(457\) −153.625 + 266.087i −0.0157249 + 0.0272363i −0.873781 0.486320i \(-0.838339\pi\)
0.858056 + 0.513556i \(0.171672\pi\)
\(458\) −10960.8 −1.11826
\(459\) 6596.85 + 10472.7i 0.670838 + 1.06498i
\(460\) 99.0931i 0.0100440i
\(461\) 37.5737 65.0796i 0.00379606 0.00657497i −0.864121 0.503284i \(-0.832125\pi\)
0.867917 + 0.496709i \(0.165458\pi\)
\(462\) 873.363 4336.06i 0.0879492 0.436649i
\(463\) −8234.32 14262.3i −0.826525 1.43158i −0.900748 0.434342i \(-0.856981\pi\)
0.0742230 0.997242i \(-0.476352\pi\)
\(464\) 709.585 409.679i 0.0709950 0.0409890i
\(465\) 215.731 40.9021i 0.0215146 0.00407912i
\(466\) 11236.8 19462.7i 1.11703 1.93475i
\(467\) 8886.59 0.880561 0.440281 0.897860i \(-0.354879\pi\)
0.440281 + 0.897860i \(0.354879\pi\)
\(468\) 3196.20 4014.07i 0.315694 0.396475i
\(469\) −924.103 + 718.779i −0.0909832 + 0.0707679i
\(470\) 168.346 + 97.1947i 0.0165218 + 0.00953885i
\(471\) −2806.08 + 8028.95i −0.274517 + 0.785466i
\(472\) −10262.6 + 5925.14i −1.00080 + 0.577811i
\(473\) 820.323 473.613i 0.0797431 0.0460397i
\(474\) −6607.62 + 18906.2i −0.640291 + 1.83204i
\(475\) −7154.60 4130.71i −0.691107 0.399011i
\(476\) −16185.1 + 12589.0i −1.55849 + 1.21221i
\(477\) 8586.65 + 1287.66i 0.824225 + 0.123601i
\(478\) −8631.66 −0.825948
\(479\) −7210.06 + 12488.2i −0.687758 + 1.19123i 0.284803 + 0.958586i \(0.408072\pi\)
−0.972561 + 0.232646i \(0.925262\pi\)
\(480\) −137.798 + 26.1263i −0.0131034 + 0.00248437i
\(481\) −4421.69 + 2552.86i −0.419151 + 0.241997i
\(482\) 9402.31 + 16285.3i 0.888513 + 1.53895i
\(483\) 5417.39 + 1091.16i 0.510351 + 0.102794i
\(484\) 7706.62 13348.3i 0.723762 1.25359i
\(485\) 106.616i 0.00998186i
\(486\) 17067.2 + 1890.68i 1.59297 + 0.176467i
\(487\) 5047.02 0.469615 0.234807 0.972042i \(-0.424554\pi\)
0.234807 + 0.972042i \(0.424554\pi\)
\(488\) 7555.83 13087.1i 0.700894 1.21398i
\(489\) 7909.48 6811.81i 0.731450 0.629940i
\(490\) −58.0438 205.774i −0.00535133 0.0189713i
\(491\) 1213.61 700.678i 0.111547 0.0644015i −0.443189 0.896428i \(-0.646153\pi\)
0.554735 + 0.832027i \(0.312819\pi\)
\(492\) 5359.84 + 28269.5i 0.491138 + 2.59042i
\(493\) 9064.35 + 5233.30i 0.828068 + 0.478085i
\(494\) 4537.69i 0.413280i
\(495\) 37.2270 + 5.58258i 0.00338026 + 0.000506905i
\(496\) 2122.39i 0.192133i
\(497\) −11399.8 + 1577.04i −1.02888 + 0.142333i
\(498\) 1090.38 3119.86i 0.0981145 0.280732i
\(499\) 4556.45 + 7892.00i 0.408767 + 0.708005i 0.994752 0.102317i \(-0.0326257\pi\)
−0.585985 + 0.810322i \(0.699292\pi\)
\(500\) 215.687 + 373.581i 0.0192916 + 0.0334141i
\(501\) 820.041 + 286.600i 0.0731272 + 0.0255576i
\(502\) −16009.1 9242.84i −1.42335 0.821769i
\(503\) −6606.33 −0.585610 −0.292805 0.956172i \(-0.594589\pi\)
−0.292805 + 0.956172i \(0.594589\pi\)
\(504\) −117.413 + 10312.1i −0.0103769 + 0.911380i
\(505\) 72.3862 0.00637850
\(506\) −2285.75 1319.68i −0.200819 0.115943i
\(507\) −1904.58 10045.4i −0.166835 0.879944i
\(508\) 7438.00 + 12883.0i 0.649622 + 1.12518i
\(509\) 2008.77 + 3479.30i 0.174926 + 0.302981i 0.940136 0.340801i \(-0.110698\pi\)
−0.765210 + 0.643781i \(0.777365\pi\)
\(510\) −186.470 216.518i −0.0161903 0.0187992i
\(511\) 1748.25 241.850i 0.151346 0.0209370i
\(512\) 2495.14i 0.215372i
\(513\) 7846.78 4942.75i 0.675329 0.425395i
\(514\) 34726.4i 2.97999i
\(515\) −52.1143 30.0882i −0.00445909 0.00257446i
\(516\) −4616.08 + 3975.46i −0.393821 + 0.339167i
\(517\) 2738.32 1580.97i 0.232942 0.134489i
\(518\) 10660.4 26222.1i 0.904228 2.22420i
\(519\) −917.028 4836.71i −0.0775589 0.409071i
\(520\) −21.4722 + 37.1910i −0.00181081 + 0.00313641i
\(521\) −1142.40 −0.0960645 −0.0480323 0.998846i \(-0.515295\pi\)
−0.0480323 + 0.998846i \(0.515295\pi\)
\(522\) 13513.1 5315.17i 1.13305 0.445668i
\(523\) 6315.64i 0.528038i −0.964518 0.264019i \(-0.914952\pi\)
0.964518 0.264019i \(-0.0850481\pi\)
\(524\) −8698.69 + 15066.6i −0.725199 + 1.25608i
\(525\) −11398.4 + 3838.64i −0.947559 + 0.319109i
\(526\) 7055.82 + 12221.0i 0.584883 + 1.01305i
\(527\) −23479.4 + 13555.9i −1.94076 + 1.12050i
\(528\) −120.046 + 343.483i −0.00989454 + 0.0283109i
\(529\) −4434.72 + 7681.16i −0.364487 + 0.631311i
\(530\) −200.452 −0.0164285
\(531\) 14437.5 5678.78i 1.17992 0.464102i
\(532\) 9432.40 + 12126.8i 0.768696 + 0.988279i
\(533\) −5786.73 3340.97i −0.470265 0.271508i
\(534\) −28319.7 + 5369.35i −2.29497 + 0.435121i
\(535\) 171.917 99.2566i 0.0138928 0.00802100i
\(536\) −1129.02 + 651.842i −0.0909821 + 0.0525285i
\(537\) −8033.03 9327.49i −0.645532 0.749555i
\(538\) 19434.9 + 11220.8i 1.55744 + 0.899186i
\(539\) −3370.76 855.911i −0.269367 0.0683983i
\(540\) −241.919 + 9.32388i −0.0192788 + 0.000743029i
\(541\) 727.024 0.0577767 0.0288884 0.999583i \(-0.490803\pi\)
0.0288884 + 0.999583i \(0.490803\pi\)
\(542\) −6351.00 + 11000.3i −0.503319 + 0.871774i
\(543\) −5085.58 5905.08i −0.401921 0.466688i
\(544\) 14997.5 8658.82i 1.18201 0.682433i
\(545\) −82.6139 143.092i −0.00649320 0.0112465i
\(546\) −4956.31 4367.74i −0.388480 0.342348i
\(547\) 455.248 788.513i 0.0355850 0.0616351i −0.847684 0.530501i \(-0.822004\pi\)
0.883269 + 0.468866i \(0.155337\pi\)
\(548\) 11609.9i 0.905022i
\(549\) −12323.5 + 15476.9i −0.958023 + 1.20317i
\(550\) 5744.43 0.445351
\(551\) 3921.10 6791.55i 0.303166 0.525099i
\(552\) 5809.20 + 2030.29i 0.447927 + 0.156549i
\(553\) 14587.4 + 5930.39i 1.12174 + 0.456032i
\(554\) −1407.84 + 812.815i −0.107966 + 0.0623343i
\(555\) 227.412 + 79.4793i 0.0173929 + 0.00607875i
\(556\) −29355.7 16948.5i −2.23913 1.29276i
\(557\) 2329.01i 0.177169i 0.996069 + 0.0885847i \(0.0282344\pi\)
−0.996069 + 0.0885847i \(0.971766\pi\)
\(558\) −5578.16 + 37197.5i −0.423194 + 2.82204i
\(559\) 1414.74i 0.107043i
\(560\) 2.41013 + 17.4220i 0.000181869 + 0.00131467i
\(561\) −4566.60 + 865.817i −0.343676 + 0.0651601i
\(562\) 8092.65 + 14016.9i 0.607416 + 1.05208i
\(563\) 6684.01 + 11577.0i 0.500350 + 0.866632i 1.00000 0.000404657i \(0.000128806\pi\)
−0.499650 + 0.866228i \(0.666538\pi\)
\(564\) −15408.9 + 13270.5i −1.15041 + 0.990759i
\(565\) 55.6379 + 32.1225i 0.00414284 + 0.00239187i
\(566\) −3281.33 −0.243683
\(567\) 2154.16 13328.3i 0.159552 0.987190i
\(568\) −12815.4 −0.946691
\(569\) 6678.40 + 3855.77i 0.492044 + 0.284082i 0.725422 0.688304i \(-0.241645\pi\)
−0.233378 + 0.972386i \(0.574978\pi\)
\(570\) −162.229 + 139.715i −0.0119211 + 0.0102667i
\(571\) −5367.85 9297.39i −0.393411 0.681408i 0.599486 0.800385i \(-0.295372\pi\)
−0.992897 + 0.118978i \(0.962038\pi\)
\(572\) 963.432 + 1668.71i 0.0704250 + 0.121980i
\(573\) 4043.29 766.598i 0.294783 0.0558902i
\(574\) 36695.3 5076.37i 2.66835 0.369135i
\(575\) 7176.97i 0.520522i
\(576\) 3341.82 22284.7i 0.241741 1.61203i
\(577\) 2233.10i 0.161118i −0.996750 0.0805590i \(-0.974329\pi\)
0.996750 0.0805590i \(-0.0256705\pi\)
\(578\) 11267.8 + 6505.47i 0.810863 + 0.468152i
\(579\) −21288.7 7440.29i −1.52803 0.534038i
\(580\) −177.299 + 102.363i −0.0126930 + 0.00732829i
\(581\) −2407.19 978.624i −0.171888 0.0698798i
\(582\) −17240.9 6025.62i −1.22794 0.429158i
\(583\) −1630.27 + 2823.72i −0.115813 + 0.200594i
\(584\) 1965.32 0.139256
\(585\) 35.0211 43.9825i 0.00247512 0.00310847i
\(586\) 43034.6i 3.03369i
\(587\) −6194.97 + 10730.0i −0.435594 + 0.754471i −0.997344 0.0728359i \(-0.976795\pi\)
0.561750 + 0.827307i \(0.310128\pi\)
\(588\) 22324.7 + 1370.07i 1.56574 + 0.0960895i
\(589\) 10156.9 + 17592.2i 0.710537 + 1.23069i
\(590\) −310.183 + 179.084i −0.0216441 + 0.0124962i
\(591\) −3346.19 3885.40i −0.232900 0.270430i
\(592\) −1164.26 + 2016.56i −0.0808292 + 0.140000i
\(593\) 16050.0 1.11146 0.555729 0.831363i \(-0.312439\pi\)
0.555729 + 0.831363i \(0.312439\pi\)
\(594\) −3006.71 + 5704.45i −0.207688 + 0.394035i
\(595\) −177.341 + 137.938i −0.0122190 + 0.00950407i
\(596\) −31777.0 18346.5i −2.18395 1.26091i
\(597\) 5499.23 + 6385.39i 0.376999 + 0.437750i
\(598\) −3413.90 + 1971.02i −0.233453 + 0.134784i
\(599\) −14534.4 + 8391.43i −0.991417 + 0.572395i −0.905697 0.423925i \(-0.860652\pi\)
−0.0857192 + 0.996319i \(0.527319\pi\)
\(600\) −13158.9 + 2494.90i −0.895351 + 0.169756i
\(601\) 6341.34 + 3661.18i 0.430397 + 0.248490i 0.699516 0.714617i \(-0.253399\pi\)
−0.269119 + 0.963107i \(0.586732\pi\)
\(602\) 4815.46 + 6191.04i 0.326019 + 0.419149i
\(603\) 1588.32 624.740i 0.107266 0.0421913i
\(604\) 9018.90 0.607573
\(605\) 84.4422 146.258i 0.00567448 0.00982849i
\(606\) −4091.04 + 11705.6i −0.274236 + 0.784663i
\(607\) −7505.80 + 4333.47i −0.501896 + 0.289770i −0.729496 0.683985i \(-0.760245\pi\)
0.227600 + 0.973755i \(0.426912\pi\)
\(608\) −6487.70 11237.0i −0.432749 0.749543i
\(609\) −3643.85 10820.0i −0.242457 0.719950i
\(610\) 228.371 395.550i 0.0151581 0.0262547i
\(611\) 4722.53i 0.312689i
\(612\) 27818.3 10941.9i 1.83740 0.722714i
\(613\) 5674.74 0.373900 0.186950 0.982369i \(-0.440140\pi\)
0.186950 + 0.982369i \(0.440140\pi\)
\(614\) 4399.02 7619.32i 0.289136 0.500799i
\(615\) 58.7282 + 309.752i 0.00385065 + 0.0203096i
\(616\) −3587.54 1458.48i −0.234653 0.0953962i
\(617\) −3264.02 + 1884.48i −0.212973 + 0.122960i −0.602693 0.797974i \(-0.705905\pi\)
0.389719 + 0.920934i \(0.372572\pi\)
\(618\) 7810.89 6726.90i 0.508414 0.437857i
\(619\) −14473.4 8356.19i −0.939795 0.542591i −0.0498991 0.998754i \(-0.515890\pi\)
−0.889896 + 0.456163i \(0.849223\pi\)
\(620\) 530.305i 0.0343509i
\(621\) −7127.03 3756.52i −0.460544 0.242744i
\(622\) 307.418i 0.0198172i
\(623\) 3105.63 + 22449.5i 0.199718 + 1.44369i
\(624\) 354.633 + 411.780i 0.0227511 + 0.0264173i
\(625\) −7808.95 13525.5i −0.499773 0.865632i
\(626\) 13818.7 + 23934.7i 0.882277 + 1.52815i
\(627\) 648.722 + 3421.57i 0.0413197 + 0.217934i
\(628\) 17789.3 + 10270.6i 1.13036 + 0.652616i
\(629\) −29744.9 −1.88554
\(630\) −3.54874 + 311.677i −0.000224421 + 0.0197103i
\(631\) −19529.4 −1.23210 −0.616049 0.787708i \(-0.711268\pi\)
−0.616049 + 0.787708i \(0.711268\pi\)
\(632\) 15185.9 + 8767.56i 0.955793 + 0.551827i
\(633\) −1776.38 620.838i −0.111540 0.0389828i
\(634\) 11578.4 + 20054.3i 0.725292 + 1.25624i
\(635\) 81.4988 + 141.160i 0.00509320 + 0.00882168i
\(636\) 6918.52 19795.7i 0.431348 1.23420i
\(637\) −3624.29 + 3720.76i −0.225431 + 0.231431i
\(638\) 5452.93i 0.338375i
\(639\) 16592.1 + 2488.17i 1.02719 + 0.154038i
\(640\) 304.293i 0.0187941i
\(641\) −15018.7 8671.07i −0.925436 0.534301i −0.0400707 0.999197i \(-0.512758\pi\)
−0.885365 + 0.464896i \(0.846092\pi\)
\(642\) 6334.54 + 33410.4i 0.389415 + 2.05390i
\(643\) −247.186 + 142.713i −0.0151603 + 0.00875278i −0.507561 0.861616i \(-0.669453\pi\)
0.492401 + 0.870369i \(0.336119\pi\)
\(644\) 5026.43 12363.9i 0.307561 0.756530i
\(645\) −50.5788 + 43.5595i −0.00308766 + 0.00265915i
\(646\) 13217.8 22893.9i 0.805027 1.39435i
\(647\) 24266.2 1.47450 0.737252 0.675617i \(-0.236123\pi\)
0.737252 + 0.675617i \(0.236123\pi\)
\(648\) 4410.01 14373.2i 0.267348 0.871347i
\(649\) 5825.97i 0.352372i
\(650\) 4289.81 7430.17i 0.258862 0.448362i
\(651\) 28991.6 + 5839.44i 1.74542 + 0.351560i
\(652\) −12605.2 21832.8i −0.757143 1.31141i
\(653\) 19796.2 11429.4i 1.18635 0.684939i 0.228875 0.973456i \(-0.426495\pi\)
0.957475 + 0.288517i \(0.0931621\pi\)
\(654\) 27808.4 5272.41i 1.66268 0.315241i
\(655\) −95.3123 + 165.086i −0.00568574 + 0.00984799i
\(656\) −3047.38 −0.181372
\(657\) −2544.52 381.578i −0.151098 0.0226587i
\(658\) 16074.5 + 20666.3i 0.952354 + 1.22440i
\(659\) −2687.96 1551.89i −0.158889 0.0917346i 0.418447 0.908241i \(-0.362574\pi\)
−0.577336 + 0.816506i \(0.695908\pi\)
\(660\) 29.9949 85.8234i 0.00176901 0.00506162i
\(661\) −20614.8 + 11901.9i −1.21304 + 0.700351i −0.963421 0.267993i \(-0.913640\pi\)
−0.249622 + 0.968343i \(0.580306\pi\)
\(662\) 8781.83 5070.19i 0.515582 0.297672i
\(663\) −2290.34 + 6553.28i −0.134162 + 0.383874i
\(664\) −2505.94 1446.81i −0.146460 0.0845588i
\(665\) 103.352 + 132.875i 0.00602677 + 0.00774836i
\(666\) −25705.2 + 32282.8i −1.49558 + 1.87828i
\(667\) −6812.78 −0.395490
\(668\) 1049.00 1816.92i 0.0607589 0.105237i
\(669\) 681.395 129.191i 0.0393786 0.00746609i
\(670\) −34.1242 + 19.7016i −0.00196766 + 0.00113603i
\(671\) −3714.68 6434.01i −0.213716 0.370167i
\(672\) −18518.4 3729.95i −1.06304 0.214116i
\(673\) 7675.47 13294.3i 0.439625 0.761453i −0.558035 0.829817i \(-0.688445\pi\)
0.997660 + 0.0683640i \(0.0217779\pi\)
\(674\) 25022.3i 1.43000i
\(675\) 17521.4 675.296i 0.999107 0.0385069i
\(676\) −24693.3 −1.40495
\(677\) 7096.57 12291.6i 0.402871 0.697793i −0.591200 0.806525i \(-0.701346\pi\)
0.994071 + 0.108732i \(0.0346791\pi\)
\(678\) −8339.01 + 7181.73i −0.472356 + 0.406803i
\(679\) −5408.05 + 13302.6i −0.305658 + 0.751850i
\(680\) −216.667 + 125.093i −0.0122188 + 0.00705454i
\(681\) −3426.69 18073.5i −0.192821 1.01700i
\(682\) −12232.4 7062.38i −0.686808 0.396529i
\(683\) 2156.60i 0.120820i 0.998174 + 0.0604100i \(0.0192408\pi\)
−0.998174 + 0.0604100i \(0.980759\pi\)
\(684\) −8198.34 20843.2i −0.458291 1.16514i
\(685\) 127.211i 0.00709560i
\(686\) 3195.61 28618.8i 0.177856 1.59281i
\(687\) 4145.13 11860.3i 0.230199 0.658661i
\(688\) −322.603 558.765i −0.0178766 0.0309633i
\(689\) 2434.91 + 4217.38i 0.134634 + 0.233192i
\(690\) 175.580 + 61.3644i 0.00968727 + 0.00338566i
\(691\) 2822.31 + 1629.46i 0.155377 + 0.0897071i 0.575673 0.817680i \(-0.304740\pi\)
−0.420295 + 0.907387i \(0.638074\pi\)
\(692\) −11889.5 −0.653136
\(693\) 4361.65 + 2584.85i 0.239084 + 0.141689i
\(694\) −39428.9 −2.15663
\(695\) −321.653 185.706i −0.0175554 0.0101356i
\(696\) −2368.30 12491.2i −0.128980 0.680283i
\(697\) −19463.8 33712.3i −1.05774 1.83206i
\(698\) −8135.45 14091.0i −0.441163 0.764116i
\(699\) 16810.5 + 19519.4i 0.909632 + 1.05621i
\(700\) 3980.56 + 28774.0i 0.214930 + 1.55365i
\(701\) 23138.1i 1.24667i 0.781956 + 0.623334i \(0.214222\pi\)
−0.781956 + 0.623334i \(0.785778\pi\)
\(702\) 5133.13 + 8149.01i 0.275979 + 0.438126i
\(703\) 22286.7i 1.19567i
\(704\) 7328.32 + 4231.00i 0.392324 + 0.226509i
\(705\) −168.837 + 145.406i −0.00901952 + 0.00776780i
\(706\) 16603.1 9585.79i 0.885078 0.511000i
\(707\) 9031.65 + 3671.74i 0.480439 + 0.195318i
\(708\) −6979.72 36813.3i −0.370500 1.95414i
\(709\) 3118.01 5400.55i 0.165161 0.286067i −0.771551 0.636167i \(-0.780519\pi\)
0.936712 + 0.350100i \(0.113852\pi\)
\(710\) −387.337 −0.0204740
\(711\) −17959.0 14299.8i −0.947278 0.754270i
\(712\) 25237.0i 1.32837i
\(713\) 8823.59 15282.9i 0.463459 0.802734i
\(714\) −12283.2 36473.7i −0.643820 1.91175i
\(715\) 10.5564 + 18.2842i 0.000552150 + 0.000956352i
\(716\) −25747.0 + 14865.0i −1.34387 + 0.775883i
\(717\) 3264.32 9340.09i 0.170025 0.486488i
\(718\) −13214.6 + 22888.3i −0.686858 + 1.18967i
\(719\) 26084.5 1.35297 0.676486 0.736455i \(-0.263502\pi\)
0.676486 + 0.736455i \(0.263502\pi\)
\(720\) 3.80259 25.3572i 0.000196825 0.00131251i
\(721\) −4976.12 6397.58i −0.257032 0.330455i
\(722\) 9773.76 + 5642.88i 0.503797 + 0.290867i
\(723\) −21177.6 + 4015.23i −1.08936 + 0.206539i
\(724\) −16300.0 + 9410.81i −0.836719 + 0.483080i
\(725\) 12841.1 7413.82i 0.657802 0.379782i
\(726\) 18879.0 + 21921.2i 0.965102 + 1.12062i
\(727\) 5419.16 + 3128.75i 0.276459 + 0.159614i 0.631819 0.775116i \(-0.282309\pi\)
−0.355360 + 0.934729i \(0.615642\pi\)
\(728\) −4565.59 + 3551.17i −0.232434 + 0.180790i
\(729\) −8500.31 + 17752.9i −0.431860 + 0.901941i
\(730\) 59.4009 0.00301168
\(731\) 4120.98 7137.75i 0.208509 0.361148i
\(732\) 31180.6 + 36205.1i 1.57441 + 1.82812i
\(733\) 5690.16 3285.22i 0.286727 0.165542i −0.349738 0.936848i \(-0.613729\pi\)
0.636465 + 0.771306i \(0.280396\pi\)
\(734\) −15803.2 27371.9i −0.794695 1.37645i
\(735\) 244.614 + 15.0119i 0.0122758 + 0.000753366i
\(736\) −5636.08 + 9761.97i −0.282267 + 0.488901i
\(737\) 640.932i 0.0320339i
\(738\) −53409.0 8009.25i −2.66397 0.399491i
\(739\) 22303.3 1.11020 0.555101 0.831783i \(-0.312680\pi\)
0.555101 + 0.831783i \(0.312680\pi\)
\(740\) 290.905 503.863i 0.0144512 0.0250302i
\(741\) 4910.11 + 1716.06i 0.243424 + 0.0850756i
\(742\) −25010.5 10167.8i −1.23742 0.503061i
\(743\) 20415.4 11786.8i 1.00803 0.581988i 0.0974173 0.995244i \(-0.468942\pi\)
0.910615 + 0.413256i \(0.135609\pi\)
\(744\) 31088.4 + 10865.3i 1.53193 + 0.535402i
\(745\) −348.183 201.024i −0.0171228 0.00988583i
\(746\) 23418.8i 1.14936i
\(747\) 2963.56 + 2359.74i 0.145155 + 0.115580i
\(748\) 11225.5i 0.548724i
\(749\) 26484.9 3663.88i 1.29204 0.178739i
\(750\) −795.503 + 150.826i −0.0387302 + 0.00734316i
\(751\) 87.9670 + 152.363i 0.00427425 + 0.00740322i 0.868155 0.496294i \(-0.165306\pi\)
−0.863880 + 0.503697i \(0.831973\pi\)
\(752\) −1076.88 1865.21i −0.0522205 0.0904485i
\(753\) 16055.7 13827.5i 0.777029 0.669194i
\(754\) 7053.13 + 4072.13i 0.340663 + 0.196682i
\(755\) 98.8209 0.00476352
\(756\) −30657.3 11107.8i −1.47486 0.534376i
\(757\) 6273.79 0.301221 0.150611 0.988593i \(-0.451876\pi\)
0.150611 + 0.988593i \(0.451876\pi\)
\(758\) 47357.9 + 27342.1i 2.26928 + 1.31017i
\(759\) 2292.42 1974.28i 0.109630 0.0944159i
\(760\) 93.7269 + 162.340i 0.00447346 + 0.00774827i
\(761\) −482.344 835.445i −0.0229763 0.0397961i 0.854309 0.519766i \(-0.173981\pi\)
−0.877285 + 0.479970i \(0.840648\pi\)
\(762\) −27433.0 + 5201.24i −1.30419 + 0.247272i
\(763\) −3049.55 22044.1i −0.144693 1.04594i
\(764\) 9939.11i 0.470660i
\(765\) 304.808 119.892i 0.0144057 0.00566626i
\(766\) 963.616i 0.0454528i
\(767\) 7535.64 + 4350.70i 0.354754 + 0.204817i
\(768\) −16456.6 5751.52i −0.773214 0.270235i
\(769\) 382.458 220.812i 0.0179347 0.0103546i −0.491006 0.871156i \(-0.663371\pi\)
0.508941 + 0.860802i \(0.330037\pi\)
\(770\) −108.432 44.0820i −0.00507481 0.00206312i
\(771\) 37576.5 + 13132.8i 1.75523 + 0.613445i
\(772\) −27232.5 + 47168.0i −1.26958 + 2.19898i
\(773\) 6634.17 0.308686 0.154343 0.988017i \(-0.450674\pi\)