Properties

Label 63.4.o.a.20.20
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 20.20
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.20

$q$-expansion

\(f(q)\) \(=\) \(q+(3.92583 + 2.26658i) q^{2} +(3.93727 - 3.39086i) q^{3} +(6.27474 + 10.8682i) q^{4} +(-0.0687529 - 0.119084i) q^{5} +(23.1427 - 4.38780i) q^{6} +(-17.1567 + 6.97489i) q^{7} +20.6235i q^{8} +(4.00416 - 26.7014i) q^{9} +O(q^{10})\) \(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} +(-17.1567 + 6.97489i) 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} +(-83.1632 - 11.5047i) 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} +(-43.8995 + 85.6378i) 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} +(-366.446 + 236.698i) 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} +(245.702 - 239.332i) 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} +(-143.847 - 353.831i) 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} +(117.542 + 486.036i) 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} +(4.34769 + 10.6943i) 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} +(-186.008 - 25.7321i) 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} +(-1206.18 + 60.2479i) 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 0.862934 0.505316i \(-0.168624\pi\)
−0.869084 + 0.494665i \(0.835291\pi\)
\(6\) 23.1427 4.38780i 1.57466 0.298552i
\(7\) −17.1567 + 6.97489i −0.926372 + 0.376609i
\(8\) 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 −0.633330 0.773882i \(-0.718313\pi\)
0.353536 + 0.935421i \(0.384979\pi\)
\(14\) −83.1632 11.5047i −1.58759 0.219625i
\(15\) −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 \(-0.716669\pi\)
−0.629325 + 0.777142i \(0.716669\pi\)
\(18\) 76.2405 95.7495i 0.998337 1.25380i
\(19\) 66.1014i 0.798142i 0.916920 + 0.399071i \(0.130667\pi\)
−0.916920 + 0.399071i \(0.869333\pi\)
\(20\) 0.862814 1.49444i 0.00964655 0.0167083i
\(21\) −43.8995 + 85.6378i −0.456174 + 0.889891i
\(22\) 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 \(-0.317204\pi\)
0.998717 0.0506486i \(-0.0161289\pi\)
\(32\) 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 \(0.150999\pi\)
−0.0492008 + 0.998789i \(0.515667\pi\)
\(42\) −366.446 + 236.698i −1.34628 + 0.869601i
\(43\) 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 −0.999829 0.0184681i \(-0.994121\pi\)
0.515909 + 0.856644i \(0.327454\pi\)
\(48\) −6.68487 35.2581i −0.0201016 0.106022i
\(49\) 245.702 239.332i 0.716332 0.697760i
\(50\) 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
\(56\) −143.847 353.831i −0.343256 0.844332i
\(57\) 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 \(-0.948097\pi\)
0.352781 0.935706i \(-0.385236\pi\)
\(60\) −1.67029 8.80968i −0.00359390 0.0189554i
\(61\) 634.571 + 366.369i 1.33194 + 0.768997i 0.985597 0.169111i \(-0.0540895\pi\)
0.346344 + 0.938107i \(0.387423\pi\)
\(62\) 1393.09 2.85359
\(63\) 117.542 + 486.036i 0.235061 + 0.971981i
\(64\) 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
\(70\) 4.34769 + 10.6943i 0.00742356 + 0.0182603i
\(71\) 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 \(0.0243406\pi\)
−0.997078 + 0.0763937i \(0.975659\pi\)
\(74\) −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
\(77\) −186.008 25.7321i −0.275294 0.0380837i
\(78\) −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 −0.815903 0.578189i \(-0.803760\pi\)
0.908678 + 0.417498i \(0.137093\pi\)
\(84\) −1206.18 + 60.2479i −1.56673 + 0.0782570i
\(85\) 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 \(-0.759884\pi\)
−0.728720 + 0.684812i \(0.759884\pi\)
\(90\) −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 0.105544 0.994415i \(-0.466342\pi\)
−0.808416 + 0.588611i \(0.799675\pi\)
\(98\) 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 −0.966058 0.258326i \(-0.916829\pi\)
0.706746 + 0.707467i \(0.250162\pi\)
\(102\) −2041.70 + 387.102i −1.98194 + 0.375772i
\(103\) 378.997 218.814i 0.362560 0.209324i −0.307643 0.951502i \(-0.599540\pi\)
0.670203 + 0.742178i \(0.266207\pi\)
\(104\) −156.155 270.468i −0.147233 0.255015i
\(105\) 13.2163 0.660142i 0.0122836 0.000613555i
\(106\) −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
\(112\) −17.5275 + 126.700i −0.0147874 + 0.106893i
\(113\) 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
\(119\) 1513.60 615.341i 1.16598 0.474019i
\(120\) 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
\(126\) −640.190 + 2174.51i −0.452640 + 1.53747i
\(127\) 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 0.536778 0.843723i \(-0.319641\pi\)
−0.999075 + 0.0430017i \(0.986308\pi\)
\(132\) 431.457 + 500.983i 0.284496 + 0.330340i
\(133\) −461.050 1134.08i −0.300587 0.739377i
\(134\) 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 0.430481 0.902600i \(-0.358344\pi\)
0.996915 + 0.0784926i \(0.0250107\pi\)
\(140\) −4.37946 + 31.6576i −0.00264380 + 0.0191111i
\(141\) 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
\(147\) 155.854 1775.45i 0.0874464 0.996169i
\(148\) −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 −0.814966 0.579508i \(-0.803245\pi\)
0.0943856 + 0.995536i \(0.469911\pi\)
\(158\) 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 0.884742 0.466082i \(-0.154335\pi\)
−0.846009 + 0.533168i \(0.821001\pi\)
\(168\) −1766.15 905.362i −0.811081 0.415775i
\(169\) −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 −0.742962 0.669334i \(-0.766580\pi\)
0.951141 + 0.308757i \(0.0999129\pi\)
\(174\) 2638.06 + 921.990i 1.14937 + 0.401701i
\(175\) −317.189 + 2292.85i −0.137013 + 0.990417i
\(176\) 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 \(-0.900356\pi\)
0.951402 0.307952i \(-0.0996437\pi\)
\(182\) 1177.76 478.808i 0.479677 0.195009i
\(183\) 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
\(189\) 2110.87 + 1515.09i 0.812399 + 0.583103i
\(190\) 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
\(196\) 4142.81 + 1168.58i 1.50977 + 0.425869i
\(197\) 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 \(0.0932752\pi\)
−0.957372 + 0.288857i \(0.906725\pi\)
\(200\) 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
\(203\) −2176.50 301.093i −0.752513 0.104102i
\(204\) −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
\(210\) 53.3810 + 27.3641i 0.0175412 + 0.00899191i
\(211\) 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 0.517255 0.855831i \(-0.326954\pi\)
−0.482544 + 0.875872i \(0.660287\pi\)
\(224\) −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 \(-0.660174\pi\)
0.999792 0.0203961i \(-0.00649274\pi\)
\(228\) −1422.12 + 4069.06i −0.413079 + 1.18193i
\(229\) 2093.97 1208.96i 0.604251 0.348865i −0.166461 0.986048i \(-0.553234\pi\)
0.770712 + 0.637183i \(0.219901\pi\)
\(230\) 17.8973 + 30.9991i 0.00513093 + 0.00888704i
\(231\) −819.619 + 529.414i −0.233450 + 0.150792i
\(232\) −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
\(238\) 7336.85 + 1014.97i 1.99822 + 0.276431i
\(239\) −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 −0.0639765 0.997951i \(-0.520378\pi\)
−0.896240 + 0.443570i \(0.853712\pi\)
\(242\) 5567.61i 1.47892i
\(243\) −3469.09 + 1521.28i −0.915813 + 0.401606i
\(244\) 9195.50i 2.41263i
\(245\) −45.3932 12.8043i −0.0118370 0.00333892i
\(246\) 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 \(-0.328632\pi\)
0.512737 + 0.858546i \(0.328632\pi\)
\(252\) −4544.78 + 4327.21i −1.13609 + 1.08170i
\(253\) −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 \(0.213242\pi\)
0.145801 + 0.989314i \(0.453424\pi\)
\(258\) 726.024 2077.35i 0.175195 0.501280i
\(259\) 5784.52 2351.65i 1.38777 0.564186i
\(260\) 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
\(266\) 760.475 5497.20i 0.175292 1.26712i
\(267\) −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 \(-0.689599\pi\)
−0.561040 + 0.827789i \(0.689599\pi\)
\(270\) −73.9950 + 46.6101i −0.0166785 + 0.0105059i
\(271\) 2802.02i 0.628084i −0.949409 0.314042i \(-0.898317\pi\)
0.949409 0.314042i \(-0.101683\pi\)
\(272\) −304.646 + 527.662i −0.0679112 + 0.117626i
\(273\) −72.7008 1455.50i −0.0161174 0.322676i
\(274\) −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 −0.432716 0.901530i \(-0.642445\pi\)
0.564390 + 0.825508i \(0.309111\pi\)
\(284\) −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 \(0.228666\pi\)
0.193548 + 0.981091i \(0.438000\pi\)
\(294\) 4636.06 6616.86i 0.919661 1.31260i
\(295\) −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
\(301\) −237.097 + 1713.89i −0.0454021 + 0.328196i
\(302\) 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 \(0.0577407\pi\)
−0.983593 + 0.180405i \(0.942259\pi\)
\(308\) −887.493 2183.03i −0.164187 0.403863i
\(309\) 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 0.862918 0.505345i \(-0.168635\pi\)
−0.869100 + 0.494636i \(0.835301\pi\)
\(312\) −1531.94 535.407i −0.277978 0.0971521i
\(313\) −5279.91 3048.36i −0.953477 0.550490i −0.0593176 0.998239i \(-0.518892\pi\)
−0.894159 + 0.447749i \(0.852226\pi\)
\(314\) −7419.97 −1.33354
\(315\) 49.7976 47.4137i 0.00890722 0.00848081i
\(316\) 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
\(322\) 4466.11 1815.66i 0.772940 0.314232i
\(323\) 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
\(329\) 791.452 5721.13i 0.132627 0.958711i
\(330\) −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
\(336\) 360.612 + 558.286i 0.0585505 + 0.0906458i
\(337\) −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 0.719067 0.694941i \(-0.244569\pi\)
−0.242303 + 0.970201i \(0.577903\pi\)
\(350\) −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 −0.980245 0.197786i \(-0.936625\pi\)
0.661411 + 0.750024i \(0.269958\pi\)
\(354\) −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
\(357\) 3872.91 7555.16i 0.574163 1.12006i
\(358\) −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
\(364\) 3486.42 + 482.306i 0.502028 + 0.0694498i
\(365\) 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 0.863619 0.504145i \(-0.168192\pi\)
−0.00479270 + 0.999989i \(0.501526\pi\)
\(368\) 396.591i 0.0561787i
\(369\) 11086.8 4360.83i 1.56411 0.615218i
\(370\) 210.163i 0.0295293i
\(371\) −2242.99 5517.24i −0.313881 0.772077i
\(372\) 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
\(378\) 4852.85 + 10732.4i 0.660328 + 1.46036i
\(379\) 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 0.858848 0.512230i \(-0.171180\pi\)
−0.873028 + 0.487670i \(0.837847\pi\)
\(384\) 11297.6 2141.99i 1.50137 0.284656i
\(385\) 9.72434 + 23.9197i 0.00128727 + 0.00316639i
\(386\) 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
\(392\) 4935.86 + 5067.23i 0.635966 + 0.652893i
\(393\) −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 \(-0.689533\pi\)
0.560869 0.827905i \(-0.310467\pi\)
\(398\) −3675.89 + 6366.83i −0.462954 + 0.801861i
\(399\) −5660.78 2901.82i −0.710259 0.364092i
\(400\) −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 −0.999362 0.0357194i \(-0.988628\pi\)
−0.468747 + 0.883332i \(0.655294\pi\)
\(410\) 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 \(0.0125648\pi\)
−0.465434 + 0.885082i \(0.654102\pi\)
\(420\) 90.1032 + 139.494i 0.0104681 + 0.0162063i
\(421\) −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
\(427\) −13442.5 1859.61i −1.52348 0.210757i
\(428\) 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 \(-0.771304\pi\)
0.752814 0.658233i \(-0.228696\pi\)
\(434\) −23900.8 + 9716.65i −2.64349 + 1.07469i
\(435\) −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 0.597527 0.801849i \(-0.296150\pi\)
−0.395658 + 0.918398i \(0.629484\pi\)
\(440\) 28.7532 0.00311535
\(441\) −5406.67 7518.91i −0.583810 0.811890i
\(442\) 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
\(448\) −14318.7 + 5821.16i −1.51004 + 0.613892i
\(449\) 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
\(455\) −38.2010 5.28467i −0.00393603 0.000544504i
\(456\) −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 −0.867917 0.496709i \(-0.834542\pi\)
0.864121 + 0.503284i \(0.167875\pi\)
\(462\) −4417.64 + 220.657i −0.444864 + 0.0222206i
\(463\) −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 \(-0.645121\pi\)
−0.440281 + 0.897860i \(0.645121\pi\)
\(468\) −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 \(-0.591928\pi\)
0.972561 0.232646i \(-0.0747385\pi\)
\(480\) −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
\(483\) −275.685 5519.31i −0.0259712 0.519953i
\(484\) 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
\(490\) −149.184 153.155i −0.0137540 0.0141200i
\(491\) 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
\(497\) −4334.16 10661.1i −0.391175 0.962202i
\(498\) 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 \(-0.405411\pi\)
0.292805 + 0.956172i \(0.405411\pi\)
\(504\) −10023.8 + 2424.12i −0.885901 + 0.214244i
\(505\) 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 0.765210 0.643781i \(-0.222635\pi\)
−0.940136 + 0.340801i \(0.889302\pi\)
\(510\) 186.470 + 216.518i 0.0161903 + 0.0187992i
\(511\) −664.675 1634.95i −0.0575411 0.141538i
\(512\) 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
\(518\) 28039.2 + 3878.90i 2.37832 + 0.329014i
\(519\) −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 \(-0.484705\pi\)
0.0480323 + 0.998846i \(0.484705\pi\)
\(522\) 13513.1 5315.17i 1.13305 0.445668i
\(523\) 6315.64i 0.528038i 0.964518 + 0.264019i \(0.0850481\pi\)
−0.964518 + 0.264019i \(0.914952\pi\)
\(524\) 8698.69 15066.6i 0.725199 1.25608i
\(525\) 6525.86 + 10103.1i 0.542499 + 0.839877i
\(526\) 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
\(546\) 3013.58 5878.81i 0.236208 0.460787i
\(547\) 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
\(553\) −2157.84 + 15598.3i −0.165933 + 1.19947i
\(554\) −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
\(560\) 16.2930 6.62377i 0.00122947 0.000499831i
\(561\) −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 \(-0.999871\pi\)
0.499650 0.866228i \(-0.333462\pi\)
\(564\) −15408.9 + 13270.5i −1.15041 + 0.990759i
\(565\) −55.6379 32.1225i −0.00414284 0.00239187i
\(566\) 3281.33 0.243683
\(567\) 13448.5 1192.36i 0.996093 0.0883147i
\(568\) −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
\(574\) −13951.4 34317.3i −1.01449 2.49543i
\(575\) 7176.97i 0.520522i
\(576\) 3341.82 22284.7i 0.241741 1.61203i
\(577\) 2233.10i 0.161118i 0.996750 + 0.0805590i \(0.0256705\pi\)
−0.996750 + 0.0805590i \(0.974329\pi\)
\(578\) 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
\(581\) −356.083 + 2574.00i −0.0254266 + 0.183800i
\(582\) −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 −0.561750 0.827307i \(-0.689872\pi\)
0.997344 + 0.0728359i \(0.0232049\pi\)
\(588\) 20273.9 9446.66i 1.42191 0.662540i
\(589\) 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 \(-0.687561\pi\)
−0.555729 + 0.831363i \(0.687561\pi\)
\(594\) 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 0.269119 0.963107i \(-0.413268\pi\)
−0.699516 + 0.714617i \(0.746601\pi\)
\(602\) −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 −0.227600 0.973755i \(-0.573088\pi\)
0.729496 + 0.683985i \(0.239755\pi\)
\(608\) 6487.70 + 11237.0i 0.432749 + 0.749543i
\(609\) −9590.42 + 6194.71i −0.638134 + 0.412188i
\(610\) 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
\(616\) 530.687 3836.15i 0.0347110 0.250913i
\(617\) −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 0.889896 0.456163i \(-0.150777\pi\)
0.0498991 + 0.998754i \(0.484110\pi\)
\(620\) 530.305i 0.0343509i
\(621\) 7127.03 + 3756.52i 0.460544 + 0.242744i
\(622\) 307.418i 0.0198172i
\(623\) 20994.6 8535.18i 1.35013 0.548884i
\(624\) 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
\(630\) 302.963 73.2678i 0.0191593 0.00463343i
\(631\) −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
\(637\) −1410.12 + 4999.11i −0.0877099 + 0.310945i
\(638\) 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 −0.492401 0.870369i \(-0.663881\pi\)
0.507561 + 0.861616i \(0.330547\pi\)
\(644\) 13220.7 + 1828.93i 0.808955 + 0.111910i
\(645\) −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 \(-0.763877\pi\)
−0.737252 + 0.675617i \(0.763877\pi\)
\(648\) 4410.01 14373.2i 0.267348 0.871347i
\(649\) 5825.97i 0.352372i
\(650\) −4289.81 + 7430.17i −0.258862 + 0.448362i
\(651\) 1475.35 + 29537.0i 0.0888226 + 1.77826i
\(652\) −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 0.249622 0.968343i \(-0.419694\pi\)
0.963421 + 0.267993i \(0.0863603\pi\)
\(662\) 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
\(672\) 942.381 + 18866.8i 0.0540969 + 1.08304i
\(673\) 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 −0.994071 0.108732i \(-0.965321\pi\)
0.591200 + 0.806525i \(0.298654\pi\)
\(678\) 8339.01 7181.73i 0.472356 0.406803i
\(679\) 14224.4 + 1967.78i 0.803950 + 0.111217i
\(680\) −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
\(686\) −23186.8 + 17076.9i −1.29049 + 0.950434i
\(687\) 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 0.420295 0.907387i \(-0.361926\pi\)
−0.575673 + 0.817680i \(0.695260\pi\)
\(692\) 11889.5 0.653136
\(693\) −1431.89 + 4863.65i −0.0784893 + 0.266602i
\(694\) −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
\(700\) −26909.3 + 10939.8i −1.45297 + 0.590691i
\(701\) 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
\(707\) 1336.01 9657.51i 0.0710688 0.513731i
\(708\) −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
\(714\) 32328.7 20882.0i 1.69450 1.09452i
\(715\) 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 \(-0.736498\pi\)
−0.676486 + 0.736455i \(0.736498\pi\)
\(720\) −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 0.355360 0.934729i \(-0.384358\pi\)
−0.631819 + 0.775116i \(0.717691\pi\)
\(728\) 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 −0.636465 0.771306i \(-0.719604\pi\)
0.349738 + 0.936848i \(0.386271\pi\)
\(734\) 15803.2 + 27371.9i 0.794695 + 1.37645i
\(735\) −222.143 + 103.508i −0.0111481 + 0.00519448i
\(736\) −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
\(742\) 3699.67 26743.6i 0.183045 1.32317i
\(743\) 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
\(749\) 10069.4 + 24768.6i 0.491228 + 1.20831i
\(750\) −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
\(756\) −3221.05 + 32448.1i −0.154958 + 1.56101i
\(757\) 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 0.877285 0.479970i \(-0.159352\pi\)
−0.854309 + 0.519766i \(0.826019\pi\)
\(762\) 27433.0 5201.24i 1.30419 0.247272i
\(763\) 20615.5 8381.07i 0.978156 0.397661i
\(764\) 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 −0.508941 0.860802i \(-0.669963\pi\)
0.491006 + 0.871156i \(0.336629\pi\)
\(770\) −16.0397 + 115.946i −0.000750690 + 0.00542648i
\(771\) 37576.5 + 13132.8i 1.75523 + 0.613445i
\(772\) −27232.5 + 47168.0i −1.26958 + 2.19898i
\(773\) −6634.17 −0.308686 −0.154343 0.988017