Properties

Label 63.4.o.a.20.7
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 20.7
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.31807 - 1.33834i) q^{2} +(-3.10623 - 4.16549i) q^{3} +(-0.417710 - 0.723496i) q^{4} +(-0.223284 - 0.386739i) q^{5} +(1.62562 + 13.8131i) q^{6} +(-7.50759 - 16.9303i) q^{7} +23.6495i q^{8} +(-7.70264 + 25.8780i) q^{9} +O(q^{10})\) \(q+(-2.31807 - 1.33834i) q^{2} +(-3.10623 - 4.16549i) q^{3} +(-0.417710 - 0.723496i) q^{4} +(-0.223284 - 0.386739i) q^{5} +(1.62562 + 13.8131i) q^{6} +(-7.50759 - 16.9303i) q^{7} +23.6495i q^{8} +(-7.70264 + 25.8780i) q^{9} +1.19532i q^{10} +(34.2729 + 19.7875i) q^{11} +(-1.71621 + 3.98731i) q^{12} +(-68.4665 + 39.5291i) q^{13} +(-5.25539 + 49.2933i) q^{14} +(-0.917386 + 2.13139i) q^{15} +(28.3094 - 49.0332i) q^{16} -9.74428 q^{17} +(52.4887 - 49.6781i) q^{18} -73.1051i q^{19} +(-0.186536 + 0.323090i) q^{20} +(-47.2029 + 83.8623i) q^{21} +(-52.9646 - 91.7374i) q^{22} +(-126.471 + 73.0180i) q^{23} +(98.5119 - 73.4609i) q^{24} +(62.4003 - 108.080i) q^{25} +211.613 q^{26} +(131.721 - 48.2977i) q^{27} +(-9.11302 + 12.5037i) q^{28} +(-134.097 - 77.4209i) q^{29} +(4.97908 - 3.71293i) q^{30} +(-9.87637 + 5.70213i) q^{31} +(32.6028 - 18.8232i) q^{32} +(-24.0351 - 204.228i) q^{33} +(22.5879 + 13.0411i) q^{34} +(-4.87129 + 6.68374i) q^{35} +(21.9401 - 5.23667i) q^{36} -337.074 q^{37} +(-97.8393 + 169.463i) q^{38} +(377.331 + 162.410i) q^{39} +(9.14619 - 5.28056i) q^{40} +(-53.3244 - 92.3606i) q^{41} +(221.655 - 131.225i) q^{42} +(-45.6005 + 78.9824i) q^{43} -33.0617i q^{44} +(11.7279 - 2.79922i) q^{45} +390.891 q^{46} +(-276.698 + 479.254i) q^{47} +(-292.183 + 34.3862i) q^{48} +(-230.272 + 254.212i) q^{49} +(-289.296 + 167.025i) q^{50} +(30.2680 + 40.5897i) q^{51} +(57.1983 + 33.0235i) q^{52} -239.988i q^{53} +(-369.976 - 64.3293i) q^{54} -17.6729i q^{55} +(400.394 - 177.551i) q^{56} +(-304.519 + 227.082i) q^{57} +(207.230 + 358.934i) q^{58} +(-126.419 - 218.964i) q^{59} +(1.92525 - 0.226578i) q^{60} +(342.785 + 197.907i) q^{61} +30.5255 q^{62} +(495.951 - 63.8728i) q^{63} -553.717 q^{64} +(30.5749 + 17.6524i) q^{65} +(-217.611 + 505.581i) q^{66} +(13.5469 + 23.4639i) q^{67} +(4.07029 + 7.04994i) q^{68} +(697.004 + 300.003i) q^{69} +(20.2371 - 8.97393i) q^{70} -348.340i q^{71} +(-612.002 - 182.164i) q^{72} -923.737i q^{73} +(781.360 + 451.119i) q^{74} +(-644.038 + 75.7951i) q^{75} +(-52.8912 + 30.5368i) q^{76} +(77.7016 - 728.808i) q^{77} +(-657.320 - 881.473i) q^{78} +(280.225 - 485.363i) q^{79} -25.2841 q^{80} +(-610.339 - 398.658i) q^{81} +285.464i q^{82} +(281.406 - 487.409i) q^{83} +(80.3911 - 0.879112i) q^{84} +(2.17574 + 3.76849i) q^{85} +(211.410 - 122.058i) q^{86} +(94.0401 + 799.067i) q^{87} +(-467.965 + 810.538i) q^{88} +644.990 q^{89} +(-30.9323 - 9.20709i) q^{90} +(1183.26 + 862.392i) q^{91} +(105.656 + 61.0008i) q^{92} +(54.4305 + 23.4278i) q^{93} +(1282.81 - 740.629i) q^{94} +(-28.2726 + 16.3232i) q^{95} +(-179.680 - 77.3374i) q^{96} +(-427.784 - 246.981i) q^{97} +(874.008 - 281.098i) q^{98} +(-776.052 + 734.497i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.31807 1.33834i −0.819560 0.473173i 0.0307044 0.999529i \(-0.490225\pi\)
−0.850265 + 0.526355i \(0.823558\pi\)
\(3\) −3.10623 4.16549i −0.597795 0.801649i
\(4\) −0.417710 0.723496i −0.0522138 0.0904369i
\(5\) −0.223284 0.386739i −0.0199711 0.0345910i 0.855867 0.517196i \(-0.173024\pi\)
−0.875838 + 0.482605i \(0.839691\pi\)
\(6\) 1.62562 + 13.8131i 0.110610 + 0.939861i
\(7\) −7.50759 16.9303i −0.405372 0.914152i
\(8\) 23.6495i 1.04517i
\(9\) −7.70264 + 25.8780i −0.285283 + 0.958443i
\(10\) 1.19532i 0.0377992i
\(11\) 34.2729 + 19.7875i 0.939425 + 0.542377i 0.889780 0.456390i \(-0.150858\pi\)
0.0496448 + 0.998767i \(0.484191\pi\)
\(12\) −1.71621 + 3.98731i −0.0412856 + 0.0959199i
\(13\) −68.4665 + 39.5291i −1.46071 + 0.843339i −0.999044 0.0437164i \(-0.986080\pi\)
−0.461662 + 0.887056i \(0.652747\pi\)
\(14\) −5.25539 + 49.2933i −0.100326 + 0.941014i
\(15\) −0.917386 + 2.13139i −0.0157912 + 0.0366881i
\(16\) 28.3094 49.0332i 0.442334 0.766144i
\(17\) −9.74428 −0.139020 −0.0695099 0.997581i \(-0.522144\pi\)
−0.0695099 + 0.997581i \(0.522144\pi\)
\(18\) 52.4887 49.6781i 0.687317 0.650514i
\(19\) 73.1051i 0.882709i −0.897333 0.441354i \(-0.854498\pi\)
0.897333 0.441354i \(-0.145502\pi\)
\(20\) −0.186536 + 0.323090i −0.00208553 + 0.00361225i
\(21\) −47.2029 + 83.8623i −0.490500 + 0.871441i
\(22\) −52.9646 91.7374i −0.513277 0.889022i
\(23\) −126.471 + 73.0180i −1.14657 + 0.661970i −0.948048 0.318127i \(-0.896946\pi\)
−0.198518 + 0.980097i \(0.563613\pi\)
\(24\) 98.5119 73.4609i 0.837861 0.624798i
\(25\) 62.4003 108.080i 0.499202 0.864644i
\(26\) 211.613 1.59618
\(27\) 131.721 48.2977i 0.938876 0.344255i
\(28\) −9.11302 + 12.5037i −0.0615071 + 0.0843919i
\(29\) −134.097 77.4209i −0.858661 0.495748i 0.00490247 0.999988i \(-0.498439\pi\)
−0.863564 + 0.504240i \(0.831773\pi\)
\(30\) 4.97908 3.71293i 0.0303017 0.0225962i
\(31\) −9.87637 + 5.70213i −0.0572209 + 0.0330365i −0.528338 0.849034i \(-0.677184\pi\)
0.471117 + 0.882071i \(0.343851\pi\)
\(32\) 32.6028 18.8232i 0.180107 0.103985i
\(33\) −24.0351 204.228i −0.126787 1.07732i
\(34\) 22.5879 + 13.0411i 0.113935 + 0.0657804i
\(35\) −4.87129 + 6.68374i −0.0235257 + 0.0322788i
\(36\) 21.9401 5.23667i 0.101574 0.0242438i
\(37\) −337.074 −1.49769 −0.748846 0.662744i \(-0.769392\pi\)
−0.748846 + 0.662744i \(0.769392\pi\)
\(38\) −97.8393 + 169.463i −0.417674 + 0.723433i
\(39\) 377.331 + 162.410i 1.54926 + 0.666831i
\(40\) 9.14619 5.28056i 0.0361535 0.0208732i
\(41\) −53.3244 92.3606i −0.203119 0.351812i 0.746413 0.665483i \(-0.231774\pi\)
−0.949532 + 0.313671i \(0.898441\pi\)
\(42\) 221.655 131.225i 0.814337 0.482107i
\(43\) −45.6005 + 78.9824i −0.161721 + 0.280110i −0.935486 0.353363i \(-0.885038\pi\)
0.773765 + 0.633473i \(0.218371\pi\)
\(44\) 33.0617i 0.113278i
\(45\) 11.7279 2.79922i 0.0388509 0.00927295i
\(46\) 390.891 1.25291
\(47\) −276.698 + 479.254i −0.858734 + 1.48737i 0.0144035 + 0.999896i \(0.495415\pi\)
−0.873137 + 0.487474i \(0.837918\pi\)
\(48\) −292.183 + 34.3862i −0.878604 + 0.103401i
\(49\) −230.272 + 254.212i −0.671348 + 0.741142i
\(50\) −289.296 + 167.025i −0.818253 + 0.472419i
\(51\) 30.2680 + 40.5897i 0.0831053 + 0.111445i
\(52\) 57.1983 + 33.0235i 0.152538 + 0.0880679i
\(53\) 239.988i 0.621979i −0.950413 0.310989i \(-0.899340\pi\)
0.950413 0.310989i \(-0.100660\pi\)
\(54\) −369.976 64.3293i −0.932358 0.162113i
\(55\) 17.6729i 0.0433275i
\(56\) 400.394 177.551i 0.955446 0.423683i
\(57\) −304.519 + 227.082i −0.707623 + 0.527679i
\(58\) 207.230 + 358.934i 0.469150 + 0.812591i
\(59\) −126.419 218.964i −0.278955 0.483164i 0.692171 0.721734i \(-0.256655\pi\)
−0.971125 + 0.238570i \(0.923321\pi\)
\(60\) 1.92525 0.226578i 0.00414248 0.000487518i
\(61\) 342.785 + 197.907i 0.719494 + 0.415400i 0.814566 0.580070i \(-0.196975\pi\)
−0.0950723 + 0.995470i \(0.530308\pi\)
\(62\) 30.5255 0.0625280
\(63\) 495.951 63.8728i 0.991809 0.127734i
\(64\) −553.717 −1.08148
\(65\) 30.5749 + 17.6524i 0.0583438 + 0.0336848i
\(66\) −217.611 + 505.581i −0.405849 + 0.942920i
\(67\) 13.5469 + 23.4639i 0.0247017 + 0.0427846i 0.878112 0.478455i \(-0.158803\pi\)
−0.853410 + 0.521240i \(0.825470\pi\)
\(68\) 4.07029 + 7.04994i 0.00725875 + 0.0125725i
\(69\) 697.004 + 300.003i 1.21608 + 0.523422i
\(70\) 20.2371 8.97393i 0.0345542 0.0153227i
\(71\) 348.340i 0.582259i −0.956684 0.291129i \(-0.905969\pi\)
0.956684 0.291129i \(-0.0940310\pi\)
\(72\) −612.002 182.164i −1.00174 0.298170i
\(73\) 923.737i 1.48103i −0.672040 0.740515i \(-0.734582\pi\)
0.672040 0.740515i \(-0.265418\pi\)
\(74\) 781.360 + 451.119i 1.22745 + 0.708668i
\(75\) −644.038 + 75.7951i −0.991562 + 0.116694i
\(76\) −52.8912 + 30.5368i −0.0798295 + 0.0460896i
\(77\) 77.7016 728.808i 0.114999 1.07864i
\(78\) −657.320 881.473i −0.954190 1.27958i
\(79\) 280.225 485.363i 0.399085 0.691236i −0.594528 0.804075i \(-0.702661\pi\)
0.993613 + 0.112839i \(0.0359944\pi\)
\(80\) −25.2841 −0.0353356
\(81\) −610.339 398.658i −0.837227 0.546855i
\(82\) 285.464i 0.384442i
\(83\) 281.406 487.409i 0.372148 0.644580i −0.617748 0.786376i \(-0.711955\pi\)
0.989896 + 0.141797i \(0.0452880\pi\)
\(84\) 80.3911 0.879112i 0.104421 0.00114189i
\(85\) 2.17574 + 3.76849i 0.00277638 + 0.00480883i
\(86\) 211.410 122.058i 0.265081 0.153044i
\(87\) 94.0401 + 799.067i 0.115887 + 0.984701i
\(88\) −467.965 + 810.538i −0.566877 + 0.981860i
\(89\) 644.990 0.768188 0.384094 0.923294i \(-0.374514\pi\)
0.384094 + 0.923294i \(0.374514\pi\)
\(90\) −30.9323 9.20709i −0.0362284 0.0107835i
\(91\) 1183.26 + 862.392i 1.36307 + 0.993442i
\(92\) 105.656 + 61.0008i 0.119733 + 0.0691280i
\(93\) 54.4305 + 23.4278i 0.0606901 + 0.0261221i
\(94\) 1282.81 740.629i 1.40757 0.812660i
\(95\) −28.2726 + 16.3232i −0.0305338 + 0.0176287i
\(96\) −179.680 77.3374i −0.191026 0.0822210i
\(97\) −427.784 246.981i −0.447783 0.258527i 0.259111 0.965848i \(-0.416571\pi\)
−0.706893 + 0.707320i \(0.749904\pi\)
\(98\) 874.008 281.098i 0.900899 0.289747i
\(99\) −776.052 + 734.497i −0.787840 + 0.745654i
\(100\) −104.261 −0.104261
\(101\) −711.795 + 1232.86i −0.701250 + 1.21460i 0.266779 + 0.963758i \(0.414041\pi\)
−0.968028 + 0.250842i \(0.919293\pi\)
\(102\) −15.8405 134.598i −0.0153769 0.130659i
\(103\) 826.452 477.152i 0.790609 0.456458i −0.0495678 0.998771i \(-0.515784\pi\)
0.840177 + 0.542312i \(0.182451\pi\)
\(104\) −934.846 1619.20i −0.881434 1.52669i
\(105\) 42.9724 0.469923i 0.0399398 0.000436760i
\(106\) −321.184 + 556.308i −0.294304 + 0.509749i
\(107\) 878.606i 0.793814i −0.917859 0.396907i \(-0.870084\pi\)
0.917859 0.396907i \(-0.129916\pi\)
\(108\) −89.9642 75.1249i −0.0801557 0.0669342i
\(109\) −128.350 −0.112786 −0.0563931 0.998409i \(-0.517960\pi\)
−0.0563931 + 0.998409i \(0.517960\pi\)
\(110\) −23.6523 + 40.9669i −0.0205014 + 0.0355095i
\(111\) 1047.03 + 1404.08i 0.895313 + 1.20062i
\(112\) −1042.68 111.165i −0.879682 0.0937870i
\(113\) −463.489 + 267.596i −0.385853 + 0.222772i −0.680362 0.732876i \(-0.738177\pi\)
0.294509 + 0.955649i \(0.404844\pi\)
\(114\) 1009.81 118.841i 0.829623 0.0976362i
\(115\) 56.4778 + 32.6075i 0.0457964 + 0.0264406i
\(116\) 129.358i 0.103540i
\(117\) −495.561 2076.25i −0.391578 1.64059i
\(118\) 676.764i 0.527976i
\(119\) 73.1560 + 164.974i 0.0563546 + 0.127085i
\(120\) −50.4063 21.6958i −0.0383454 0.0165045i
\(121\) 117.588 + 203.669i 0.0883458 + 0.153019i
\(122\) −529.733 917.524i −0.393113 0.680891i
\(123\) −219.089 + 509.016i −0.160607 + 0.373141i
\(124\) 8.25092 + 4.76367i 0.00597544 + 0.00344992i
\(125\) −111.553 −0.0798207
\(126\) −1235.13 515.688i −0.873287 0.364612i
\(127\) 151.161 0.105617 0.0528086 0.998605i \(-0.483183\pi\)
0.0528086 + 0.998605i \(0.483183\pi\)
\(128\) 1022.73 + 590.474i 0.706230 + 0.407742i
\(129\) 470.647 55.3892i 0.321226 0.0378042i
\(130\) −47.2498 81.8390i −0.0318775 0.0552135i
\(131\) 1345.98 + 2331.31i 0.897702 + 1.55487i 0.830425 + 0.557131i \(0.188098\pi\)
0.0672769 + 0.997734i \(0.478569\pi\)
\(132\) −137.718 + 102.697i −0.0908094 + 0.0677171i
\(133\) −1237.69 + 548.843i −0.806930 + 0.357825i
\(134\) 72.5210i 0.0467527i
\(135\) −48.0897 40.1574i −0.0306585 0.0256015i
\(136\) 230.448i 0.145299i
\(137\) −1713.35 989.205i −1.06848 0.616887i −0.140713 0.990050i \(-0.544940\pi\)
−0.927765 + 0.373164i \(0.878273\pi\)
\(138\) −1214.20 1628.25i −0.748981 1.00439i
\(139\) −1065.10 + 614.935i −0.649931 + 0.375238i −0.788430 0.615125i \(-0.789106\pi\)
0.138499 + 0.990363i \(0.455772\pi\)
\(140\) 6.87045 + 0.732491i 0.00414756 + 0.000442191i
\(141\) 2855.82 336.094i 1.70570 0.200739i
\(142\) −466.197 + 807.476i −0.275509 + 0.477196i
\(143\) −3128.73 −1.82963
\(144\) 1050.82 + 1110.27i 0.608116 + 0.642520i
\(145\) 69.1473i 0.0396026i
\(146\) −1236.27 + 2141.28i −0.700784 + 1.21379i
\(147\) 1774.20 + 169.556i 0.995464 + 0.0951344i
\(148\) 140.799 + 243.872i 0.0782002 + 0.135447i
\(149\) −1678.18 + 968.895i −0.922695 + 0.532718i −0.884494 0.466552i \(-0.845496\pi\)
−0.0382010 + 0.999270i \(0.512163\pi\)
\(150\) 1594.36 + 686.242i 0.867861 + 0.373543i
\(151\) 723.386 1252.94i 0.389856 0.675251i −0.602574 0.798063i \(-0.705858\pi\)
0.992430 + 0.122812i \(0.0391913\pi\)
\(152\) 1728.90 0.922582
\(153\) 75.0567 252.162i 0.0396600 0.133243i
\(154\) −1155.51 + 1585.43i −0.604633 + 0.829597i
\(155\) 4.41047 + 2.54638i 0.00228553 + 0.00131955i
\(156\) −40.1123 340.838i −0.0205869 0.174929i
\(157\) 1711.48 988.126i 0.870009 0.502300i 0.00265752 0.999996i \(-0.499154\pi\)
0.867351 + 0.497697i \(0.165821\pi\)
\(158\) −1299.16 + 750.070i −0.654149 + 0.377673i
\(159\) −999.667 + 745.458i −0.498609 + 0.371815i
\(160\) −14.5594 8.40585i −0.00719387 0.00415338i
\(161\) 2185.71 + 1593.01i 1.06993 + 0.779792i
\(162\) 881.268 + 1740.95i 0.427401 + 0.844335i
\(163\) 890.818 0.428063 0.214031 0.976827i \(-0.431340\pi\)
0.214031 + 0.976827i \(0.431340\pi\)
\(164\) −44.5483 + 77.1599i −0.0212112 + 0.0367389i
\(165\) −73.6163 + 54.8961i −0.0347334 + 0.0259009i
\(166\) −1304.64 + 753.231i −0.609996 + 0.352181i
\(167\) 577.006 + 999.403i 0.267366 + 0.463091i 0.968181 0.250252i \(-0.0805135\pi\)
−0.700815 + 0.713343i \(0.747180\pi\)
\(168\) −1983.31 1116.33i −0.910805 0.512657i
\(169\) 2026.61 3510.18i 0.922442 1.59772i
\(170\) 11.6475i 0.00525483i
\(171\) 1891.81 + 563.103i 0.846026 + 0.251822i
\(172\) 76.1913 0.0337763
\(173\) 1100.21 1905.62i 0.483512 0.837468i −0.516308 0.856403i \(-0.672694\pi\)
0.999821 + 0.0189348i \(0.00602750\pi\)
\(174\) 851.429 1978.15i 0.370958 0.861856i
\(175\) −2298.31 245.034i −0.992778 0.105845i
\(176\) 1940.49 1120.34i 0.831078 0.479823i
\(177\) −519.406 + 1206.75i −0.220570 + 0.512456i
\(178\) −1495.13 863.213i −0.629577 0.363486i
\(179\) 550.246i 0.229762i −0.993379 0.114881i \(-0.963351\pi\)
0.993379 0.114881i \(-0.0366486\pi\)
\(180\) −6.92408 7.31581i −0.00286717 0.00302938i
\(181\) 2053.17i 0.843152i −0.906793 0.421576i \(-0.861477\pi\)
0.906793 0.421576i \(-0.138523\pi\)
\(182\) −1588.70 3582.68i −0.647047 1.45915i
\(183\) −240.390 2042.61i −0.0971045 0.825106i
\(184\) −1726.84 2990.98i −0.691872 1.19836i
\(185\) 75.2632 + 130.360i 0.0299106 + 0.0518067i
\(186\) −94.8191 127.154i −0.0373789 0.0501255i
\(187\) −333.965 192.815i −0.130599 0.0754011i
\(188\) 462.318 0.179351
\(189\) −1806.60 1867.48i −0.695295 0.718724i
\(190\) 87.3837 0.0333657
\(191\) −258.109 149.020i −0.0977808 0.0564538i 0.450312 0.892871i \(-0.351313\pi\)
−0.548093 + 0.836417i \(0.684646\pi\)
\(192\) 1719.97 + 2306.50i 0.646502 + 0.866966i
\(193\) −1528.38 2647.24i −0.570028 0.987318i −0.996562 0.0828463i \(-0.973599\pi\)
0.426534 0.904471i \(-0.359734\pi\)
\(194\) 661.088 + 1145.04i 0.244657 + 0.423758i
\(195\) −21.4417 182.192i −0.00787422 0.0669079i
\(196\) 280.108 + 60.4140i 0.102080 + 0.0220168i
\(197\) 3332.60i 1.20527i 0.798018 + 0.602634i \(0.205882\pi\)
−0.798018 + 0.602634i \(0.794118\pi\)
\(198\) 2781.94 663.996i 0.998506 0.238324i
\(199\) 3835.52i 1.36630i −0.730280 0.683148i \(-0.760610\pi\)
0.730280 0.683148i \(-0.239390\pi\)
\(200\) 2556.05 + 1475.74i 0.903701 + 0.521752i
\(201\) 55.6588 129.314i 0.0195317 0.0453785i
\(202\) 3299.97 1905.24i 1.14943 0.663625i
\(203\) −304.017 + 2851.55i −0.105112 + 0.985909i
\(204\) 16.7232 38.8535i 0.00573951 0.0133348i
\(205\) −23.8129 + 41.2452i −0.00811302 + 0.0140522i
\(206\) −2554.36 −0.863936
\(207\) −915.398 3835.24i −0.307365 1.28777i
\(208\) 4476.18i 1.49215i
\(209\) 1446.57 2505.53i 0.478761 0.829238i
\(210\) −100.242 56.4223i −0.0329398 0.0185405i
\(211\) 2890.75 + 5006.93i 0.943164 + 1.63361i 0.759386 + 0.650640i \(0.225499\pi\)
0.183777 + 0.982968i \(0.441167\pi\)
\(212\) −173.630 + 100.245i −0.0562498 + 0.0324759i
\(213\) −1451.01 + 1082.03i −0.466767 + 0.348071i
\(214\) −1175.87 + 2036.67i −0.375611 + 0.650578i
\(215\) 40.7274 0.0129190
\(216\) 1142.22 + 3115.13i 0.359806 + 0.981287i
\(217\) 170.687 + 124.401i 0.0533961 + 0.0389166i
\(218\) 297.524 + 171.775i 0.0924351 + 0.0533674i
\(219\) −3847.82 + 2869.34i −1.18727 + 0.885352i
\(220\) −12.7863 + 7.38215i −0.00391841 + 0.00226229i
\(221\) 667.157 385.183i 0.203067 0.117241i
\(222\) −547.956 4656.03i −0.165659 1.40762i
\(223\) −1153.65 666.060i −0.346431 0.200012i 0.316681 0.948532i \(-0.397431\pi\)
−0.663112 + 0.748520i \(0.730765\pi\)
\(224\) −563.452 410.659i −0.168068 0.122493i
\(225\) 2316.26 + 2447.30i 0.686298 + 0.725125i
\(226\) 1432.53 0.421640
\(227\) −786.498 + 1362.25i −0.229963 + 0.398308i −0.957797 0.287446i \(-0.907194\pi\)
0.727834 + 0.685754i \(0.240527\pi\)
\(228\) 291.493 + 125.464i 0.0846693 + 0.0364431i
\(229\) −5906.31 + 3410.01i −1.70437 + 0.984017i −0.763148 + 0.646224i \(0.776347\pi\)
−0.941220 + 0.337793i \(0.890320\pi\)
\(230\) −87.2796 151.173i −0.0250219 0.0433393i
\(231\) −3277.20 + 1940.18i −0.933438 + 0.552617i
\(232\) 1830.97 3171.33i 0.518142 0.897448i
\(233\) 1585.11i 0.445683i 0.974855 + 0.222841i \(0.0715332\pi\)
−0.974855 + 0.222841i \(0.928467\pi\)
\(234\) −1629.98 + 5476.12i −0.455364 + 1.52985i
\(235\) 247.128 0.0685995
\(236\) −105.613 + 182.927i −0.0291306 + 0.0504556i
\(237\) −2892.22 + 340.378i −0.792700 + 0.0932907i
\(238\) 51.2100 480.328i 0.0139473 0.130819i
\(239\) 5706.02 3294.37i 1.54432 0.891612i 0.545758 0.837943i \(-0.316242\pi\)
0.998559 0.0536684i \(-0.0170914\pi\)
\(240\) 78.5382 + 105.321i 0.0211234 + 0.0283267i
\(241\) 3381.74 + 1952.45i 0.903887 + 0.521859i 0.878459 0.477817i \(-0.158572\pi\)
0.0254276 + 0.999677i \(0.491905\pi\)
\(242\) 629.491i 0.167212i
\(243\) 235.249 + 3780.68i 0.0621037 + 0.998070i
\(244\) 330.671i 0.0867585i
\(245\) 149.730 + 32.2938i 0.0390444 + 0.00842113i
\(246\) 1189.10 886.717i 0.308187 0.229817i
\(247\) 2889.78 + 5005.25i 0.744423 + 1.28938i
\(248\) −134.853 233.572i −0.0345288 0.0598057i
\(249\) −2904.41 + 341.812i −0.739195 + 0.0869939i
\(250\) 258.587 + 149.295i 0.0654179 + 0.0377690i
\(251\) −5207.34 −1.30950 −0.654750 0.755846i \(-0.727226\pi\)
−0.654750 + 0.755846i \(0.727226\pi\)
\(252\) −253.376 332.138i −0.0633379 0.0830267i
\(253\) −5779.37 −1.43615
\(254\) −350.402 202.305i −0.0865597 0.0499753i
\(255\) 8.93927 20.7688i 0.00219529 0.00510037i
\(256\) 634.363 + 1098.75i 0.154874 + 0.268249i
\(257\) −3238.89 5609.93i −0.786135 1.36163i −0.928319 0.371785i \(-0.878746\pi\)
0.142184 0.989840i \(-0.454587\pi\)
\(258\) −1165.12 501.488i −0.281152 0.121013i
\(259\) 2530.61 + 5706.78i 0.607122 + 1.36912i
\(260\) 29.4944i 0.00703525i
\(261\) 3036.40 2873.81i 0.720108 0.681550i
\(262\) 7205.50i 1.69907i
\(263\) −3268.22 1886.91i −0.766263 0.442402i 0.0652767 0.997867i \(-0.479207\pi\)
−0.831540 + 0.555465i \(0.812540\pi\)
\(264\) 4829.90 568.418i 1.12598 0.132514i
\(265\) −92.8126 + 53.5854i −0.0215148 + 0.0124216i
\(266\) 3603.59 + 384.196i 0.830641 + 0.0885586i
\(267\) −2003.49 2686.70i −0.459219 0.615818i
\(268\) 11.3173 19.6022i 0.00257954 0.00446789i
\(269\) −4381.41 −0.993084 −0.496542 0.868013i \(-0.665397\pi\)
−0.496542 + 0.868013i \(0.665397\pi\)
\(270\) 57.7310 + 157.448i 0.0130126 + 0.0354888i
\(271\) 2485.08i 0.557040i 0.960430 + 0.278520i \(0.0898438\pi\)
−0.960430 + 0.278520i \(0.910156\pi\)
\(272\) −275.854 + 477.794i −0.0614931 + 0.106509i
\(273\) −83.1930 7607.65i −0.0184435 1.68658i
\(274\) 2647.78 + 4586.09i 0.583789 + 1.01115i
\(275\) 4277.28 2469.49i 0.937926 0.541512i
\(276\) −74.0952 629.594i −0.0161595 0.137308i
\(277\) −3013.11 + 5218.87i −0.653576 + 1.13203i 0.328673 + 0.944444i \(0.393399\pi\)
−0.982249 + 0.187583i \(0.939935\pi\)
\(278\) 3291.96 0.710210
\(279\) −71.4853 299.502i −0.0153395 0.0642678i
\(280\) −158.067 115.204i −0.0337369 0.0245884i
\(281\) −3454.28 1994.33i −0.733327 0.423387i 0.0863108 0.996268i \(-0.472492\pi\)
−0.819638 + 0.572881i \(0.805826\pi\)
\(282\) −7069.78 3042.96i −1.49291 0.642572i
\(283\) 5657.83 3266.55i 1.18842 0.686135i 0.230473 0.973079i \(-0.425973\pi\)
0.957948 + 0.286944i \(0.0926392\pi\)
\(284\) −252.023 + 145.505i −0.0526577 + 0.0304020i
\(285\) 155.815 + 67.0656i 0.0323849 + 0.0139390i
\(286\) 7252.60 + 4187.29i 1.49949 + 0.865733i
\(287\) −1163.36 + 1596.20i −0.239271 + 0.328296i
\(288\) 235.980 + 988.684i 0.0482820 + 0.202287i
\(289\) −4818.05 −0.980674
\(290\) 92.5424 160.288i 0.0187389 0.0324567i
\(291\) 299.998 + 2549.11i 0.0604337 + 0.513511i
\(292\) −668.319 + 385.854i −0.133940 + 0.0773302i
\(293\) 4185.66 + 7249.78i 0.834569 + 1.44552i 0.894380 + 0.447307i \(0.147617\pi\)
−0.0598110 + 0.998210i \(0.519050\pi\)
\(294\) −3885.78 2767.51i −0.770828 0.548996i
\(295\) −56.4545 + 97.7821i −0.0111421 + 0.0192986i
\(296\) 7971.64i 1.56535i
\(297\) 5470.14 + 951.117i 1.06872 + 0.185823i
\(298\) 5186.83 1.00827
\(299\) 5772.68 9998.58i 1.11653 1.93389i
\(300\) 323.859 + 434.298i 0.0623267 + 0.0835807i
\(301\) 1679.55 + 179.065i 0.321620 + 0.0342894i
\(302\) −3353.71 + 1936.27i −0.639022 + 0.368939i
\(303\) 7346.48 864.588i 1.39289 0.163925i
\(304\) −3584.58 2069.56i −0.676282 0.390452i
\(305\) 176.758i 0.0331840i
\(306\) −511.464 + 484.078i −0.0955506 + 0.0904343i
\(307\) 3591.50i 0.667679i −0.942630 0.333840i \(-0.891656\pi\)
0.942630 0.333840i \(-0.108344\pi\)
\(308\) −559.746 + 248.214i −0.103554 + 0.0459198i
\(309\) −4554.73 1960.43i −0.838542 0.360923i
\(310\) −6.81584 11.8054i −0.00124875 0.00216290i
\(311\) −2699.19 4675.13i −0.492144 0.852419i 0.507815 0.861466i \(-0.330453\pi\)
−0.999959 + 0.00904760i \(0.997120\pi\)
\(312\) −3840.92 + 8923.70i −0.696952 + 1.61925i
\(313\) 2209.23 + 1275.50i 0.398956 + 0.230337i 0.686033 0.727570i \(-0.259350\pi\)
−0.287077 + 0.957907i \(0.592684\pi\)
\(314\) −5289.78 −0.950700
\(315\) −135.440 177.542i −0.0242259 0.0317566i
\(316\) −468.211 −0.0833510
\(317\) 7748.08 + 4473.35i 1.37279 + 0.792582i 0.991279 0.131781i \(-0.0420695\pi\)
0.381514 + 0.924363i \(0.375403\pi\)
\(318\) 3314.97 390.130i 0.584573 0.0687969i
\(319\) −3063.93 5306.88i −0.537765 0.931436i
\(320\) 123.636 + 214.144i 0.0215983 + 0.0374094i
\(321\) −3659.83 + 2729.15i −0.636360 + 0.474537i
\(322\) −2934.65 6617.91i −0.507893 1.14535i
\(323\) 712.357i 0.122714i
\(324\) −33.4822 + 608.101i −0.00574112 + 0.104270i
\(325\) 9866.52i 1.68399i
\(326\) −2064.98 1192.21i −0.350823 0.202548i
\(327\) 398.685 + 534.641i 0.0674230 + 0.0904150i
\(328\) 2184.28 1261.10i 0.367704 0.212294i
\(329\) 10191.3 + 1086.54i 1.70779 + 0.182075i
\(330\) 244.117 28.7295i 0.0407218 0.00479244i
\(331\) 1235.22 2139.46i 0.205117 0.355274i −0.745053 0.667006i \(-0.767576\pi\)
0.950170 + 0.311732i \(0.100909\pi\)
\(332\) −470.185 −0.0777251
\(333\) 2596.36 8722.79i 0.427266 1.43545i
\(334\) 3088.91i 0.506041i
\(335\) 6.04959 10.4782i 0.000986640 0.00170891i
\(336\) 2775.76 + 4688.60i 0.450685 + 0.761262i
\(337\) −2669.18 4623.15i −0.431452 0.747297i 0.565546 0.824716i \(-0.308665\pi\)
−0.996999 + 0.0774194i \(0.975332\pi\)
\(338\) −9395.62 + 5424.56i −1.51199 + 0.872950i
\(339\) 2554.37 + 1099.45i 0.409246 + 0.176147i
\(340\) 1.81766 3.14828i 0.000289930 0.000502174i
\(341\) −451.323 −0.0716730
\(342\) −3631.73 3837.19i −0.574214 0.606700i
\(343\) 6032.68 + 1990.07i 0.949662 + 0.313276i
\(344\) −1867.90 1078.43i −0.292763 0.169027i
\(345\) −39.6070 336.544i −0.00618078 0.0525187i
\(346\) −5100.73 + 2944.91i −0.792535 + 0.457570i
\(347\) 1017.68 587.557i 0.157440 0.0908982i −0.419210 0.907889i \(-0.637693\pi\)
0.576650 + 0.816991i \(0.304360\pi\)
\(348\) 538.840 401.816i 0.0830025 0.0618954i
\(349\) −5180.32 2990.86i −0.794545 0.458731i 0.0470151 0.998894i \(-0.485029\pi\)
−0.841560 + 0.540163i \(0.818362\pi\)
\(350\) 4999.71 + 3643.92i 0.763559 + 0.556502i
\(351\) −7109.28 + 8513.58i −1.08110 + 1.29465i
\(352\) 1489.86 0.225596
\(353\) 1648.31 2854.96i 0.248530 0.430466i −0.714588 0.699545i \(-0.753386\pi\)
0.963118 + 0.269079i \(0.0867194\pi\)
\(354\) 2819.05 2102.18i 0.423251 0.315621i
\(355\) −134.717 + 77.7787i −0.0201409 + 0.0116284i
\(356\) −269.419 466.647i −0.0401100 0.0694726i
\(357\) 459.958 817.178i 0.0681892 0.121147i
\(358\) −736.414 + 1275.51i −0.108717 + 0.188303i
\(359\) 1871.57i 0.275146i 0.990492 + 0.137573i \(0.0439302\pi\)
−0.990492 + 0.137573i \(0.956070\pi\)
\(360\) 66.2002 + 277.359i 0.00969183 + 0.0406059i
\(361\) 1514.64 0.220825
\(362\) −2747.83 + 4759.37i −0.398957 + 0.691014i
\(363\) 483.124 1122.46i 0.0698553 0.162297i
\(364\) 129.677 1216.31i 0.0186728 0.175143i
\(365\) −357.245 + 206.255i −0.0512303 + 0.0295778i
\(366\) −2176.47 + 5056.64i −0.310835 + 0.722171i
\(367\) −114.764 66.2588i −0.0163232 0.00942421i 0.491816 0.870699i \(-0.336333\pi\)
−0.508139 + 0.861275i \(0.669667\pi\)
\(368\) 8268.37i 1.17125i
\(369\) 2800.84 668.507i 0.395138 0.0943118i
\(370\) 402.910i 0.0566116i
\(371\) −4063.07 + 1801.73i −0.568583 + 0.252132i
\(372\) −5.78624 49.1662i −0.000806459 0.00685256i
\(373\) −943.284 1633.82i −0.130942 0.226798i 0.793098 0.609094i \(-0.208467\pi\)
−0.924040 + 0.382296i \(0.875134\pi\)
\(374\) 516.102 + 893.915i 0.0713556 + 0.123592i
\(375\) 346.509 + 464.672i 0.0477164 + 0.0639882i
\(376\) −11334.1 6543.77i −1.55456 0.897524i
\(377\) 12241.5 1.67234
\(378\) 1688.51 + 6746.77i 0.229755 + 0.918033i
\(379\) −6290.03 −0.852499 −0.426249 0.904606i \(-0.640165\pi\)
−0.426249 + 0.904606i \(0.640165\pi\)
\(380\) 23.6195 + 13.6367i 0.00318857 + 0.00184092i
\(381\) −469.542 629.661i −0.0631374 0.0846680i
\(382\) 398.877 + 690.874i 0.0534249 + 0.0925346i
\(383\) 1276.74 + 2211.38i 0.170336 + 0.295030i 0.938537 0.345178i \(-0.112181\pi\)
−0.768202 + 0.640208i \(0.778848\pi\)
\(384\) −717.225 6094.32i −0.0953144 0.809895i
\(385\) −299.208 + 132.681i −0.0396079 + 0.0175637i
\(386\) 8181.97i 1.07889i
\(387\) −1692.66 1788.42i −0.222333 0.234911i
\(388\) 412.667i 0.0539948i
\(389\) 11399.3 + 6581.36i 1.48577 + 0.857810i 0.999869 0.0162025i \(-0.00515763\pi\)
0.485903 + 0.874013i \(0.338491\pi\)
\(390\) −194.131 + 451.030i −0.0252057 + 0.0585610i
\(391\) 1232.37 711.508i 0.159395 0.0920269i
\(392\) −6011.99 5445.83i −0.774621 0.701674i
\(393\) 5530.11 12848.3i 0.709815 1.64913i
\(394\) 4460.14 7725.18i 0.570301 0.987790i
\(395\) −250.278 −0.0318807
\(396\) 855.571 + 254.663i 0.108571 + 0.0323164i
\(397\) 5781.38i 0.730880i 0.930835 + 0.365440i \(0.119081\pi\)
−0.930835 + 0.365440i \(0.880919\pi\)
\(398\) −5133.22 + 8891.00i −0.646495 + 1.11976i
\(399\) 6130.77 + 3450.77i 0.769229 + 0.432969i
\(400\) −3533.02 6119.38i −0.441628 0.764922i
\(401\) −9010.34 + 5202.12i −1.12208 + 0.647835i −0.941932 0.335804i \(-0.890992\pi\)
−0.180151 + 0.983639i \(0.557659\pi\)
\(402\) −302.086 + 225.267i −0.0374793 + 0.0279485i
\(403\) 450.800 780.809i 0.0557220 0.0965133i
\(404\) 1189.30 0.146460
\(405\) −17.8977 + 325.055i −0.00219591 + 0.0398818i
\(406\) 4521.07 6203.21i 0.552652 0.758276i
\(407\) −11552.5 6669.84i −1.40697 0.812314i
\(408\) −959.928 + 715.824i −0.116479 + 0.0868593i
\(409\) −6402.33 + 3696.39i −0.774021 + 0.446882i −0.834307 0.551300i \(-0.814132\pi\)
0.0602858 + 0.998181i \(0.480799\pi\)
\(410\) 110.400 63.7395i 0.0132982 0.00767773i
\(411\) 1201.55 + 10209.7i 0.144204 + 1.22532i
\(412\) −690.435 398.623i −0.0825614 0.0476669i
\(413\) −2758.03 + 3784.20i −0.328605 + 0.450868i
\(414\) −3010.89 + 10115.5i −0.357433 + 1.20084i
\(415\) −251.333 −0.0297288
\(416\) −1488.13 + 2577.52i −0.175389 + 0.303782i
\(417\) 5869.95 + 2526.53i 0.689335 + 0.296702i
\(418\) −6706.47 + 3871.98i −0.784747 + 0.453074i
\(419\) −3158.84 5471.26i −0.368304 0.637921i 0.620997 0.783813i \(-0.286728\pi\)
−0.989300 + 0.145892i \(0.953395\pi\)
\(420\) −18.2900 30.8941i −0.00212491 0.00358923i
\(421\) 655.795 1135.87i 0.0759180 0.131494i −0.825567 0.564304i \(-0.809145\pi\)
0.901485 + 0.432810i \(0.142478\pi\)
\(422\) 15475.2i 1.78512i
\(423\) −10270.8 10851.9i −1.18058 1.24737i
\(424\) 5675.60 0.650074
\(425\) −608.046 + 1053.17i −0.0693990 + 0.120203i
\(426\) 4811.65 566.270i 0.547242 0.0644035i
\(427\) 777.144 7289.27i 0.0880764 0.826118i
\(428\) −635.668 + 367.003i −0.0717901 + 0.0414480i
\(429\) 9718.55 + 13032.7i 1.09374 + 1.46672i
\(430\) −94.4089 54.5070i −0.0105879 0.00611293i
\(431\) 10904.1i 1.21863i −0.792927 0.609317i \(-0.791444\pi\)
0.792927 0.609317i \(-0.208556\pi\)
\(432\) 1360.74 7825.97i 0.151547 0.871590i
\(433\) 9935.59i 1.10271i 0.834270 + 0.551355i \(0.185889\pi\)
−0.834270 + 0.551355i \(0.814111\pi\)
\(434\) −229.172 516.806i −0.0253471 0.0571601i
\(435\) 288.033 214.788i 0.0317474 0.0236742i
\(436\) 53.6131 + 92.8606i 0.00588899 + 0.0102000i
\(437\) 5337.99 + 9245.68i 0.584327 + 1.01208i
\(438\) 12759.6 1501.65i 1.39196 0.163816i
\(439\) 2967.35 + 1713.20i 0.322606 + 0.186256i 0.652553 0.757743i \(-0.273698\pi\)
−0.329948 + 0.943999i \(0.607031\pi\)
\(440\) 417.956 0.0452847
\(441\) −4804.78 7917.08i −0.518819 0.854884i
\(442\) −2062.02 −0.221901
\(443\) 1658.53 + 957.551i 0.177876 + 0.102697i 0.586294 0.810098i \(-0.300586\pi\)
−0.408418 + 0.912795i \(0.633920\pi\)
\(444\) 578.490 1344.02i 0.0618331 0.143659i
\(445\) −144.016 249.443i −0.0153416 0.0265724i
\(446\) 1782.82 + 3087.94i 0.189281 + 0.327844i
\(447\) 9248.73 + 3980.81i 0.978635 + 0.421222i
\(448\) 4157.08 + 9374.61i 0.438401 + 0.988636i
\(449\) 3077.07i 0.323421i 0.986838 + 0.161711i \(0.0517011\pi\)
−0.986838 + 0.161711i \(0.948299\pi\)
\(450\) −2093.93 8772.93i −0.219353 0.919022i
\(451\) 4220.62i 0.440668i
\(452\) 387.209 + 223.555i 0.0402937 + 0.0232636i
\(453\) −7466.12 + 878.668i −0.774369 + 0.0911334i
\(454\) 3646.31 2105.20i 0.376938 0.217625i
\(455\) 69.3177 650.170i 0.00714212 0.0669900i
\(456\) −5370.37 7201.73i −0.551515 0.739587i
\(457\) −6115.64 + 10592.6i −0.625990 + 1.08425i 0.362358 + 0.932039i \(0.381972\pi\)
−0.988349 + 0.152208i \(0.951362\pi\)
\(458\) 18255.0 1.86244
\(459\) −1283.52 + 470.626i −0.130522 + 0.0478583i
\(460\) 54.4819i 0.00552225i
\(461\) 2511.44 4349.95i 0.253730 0.439473i −0.710820 0.703374i \(-0.751676\pi\)
0.964550 + 0.263901i \(0.0850092\pi\)
\(462\) 10193.4 111.469i 1.02649 0.0112251i
\(463\) 2690.92 + 4660.82i 0.270103 + 0.467833i 0.968888 0.247499i \(-0.0796088\pi\)
−0.698785 + 0.715332i \(0.746275\pi\)
\(464\) −7592.40 + 4383.47i −0.759630 + 0.438572i
\(465\) −3.09299 26.2814i −0.000308460 0.00262101i
\(466\) 2121.41 3674.39i 0.210885 0.365264i
\(467\) −18150.0 −1.79846 −0.899232 0.437471i \(-0.855874\pi\)
−0.899232 + 0.437471i \(0.855874\pi\)
\(468\) −1295.16 + 1225.81i −0.127925 + 0.121075i
\(469\) 295.547 405.510i 0.0290982 0.0399247i
\(470\) −572.860 330.741i −0.0562214 0.0324594i
\(471\) −9432.30 4059.83i −0.922755 0.397170i
\(472\) 5178.39 2989.75i 0.504989 0.291555i
\(473\) −3125.73 + 1804.64i −0.303850 + 0.175428i
\(474\) 7159.90 + 3081.74i 0.693808 + 0.298627i
\(475\) −7901.24 4561.78i −0.763229 0.440650i
\(476\) 88.7999 121.839i 0.00855070 0.0117321i
\(477\) 6210.40 + 1848.54i 0.596131 + 0.177440i
\(478\) −17635.9 −1.68755
\(479\) 990.626 1715.81i 0.0944945 0.163669i −0.814903 0.579597i \(-0.803210\pi\)
0.909398 + 0.415928i \(0.136543\pi\)
\(480\) 10.2103 + 86.7574i 0.000970900 + 0.00824983i
\(481\) 23078.3 13324.2i 2.18769 1.26306i
\(482\) −5226.06 9051.80i −0.493860 0.855390i
\(483\) −153.674 14052.8i −0.0144770 1.32386i
\(484\) 98.2357 170.149i 0.00922574 0.0159794i
\(485\) 220.588i 0.0206523i
\(486\) 4514.50 9078.72i 0.421362 0.847364i
\(487\) 6722.00 0.625468 0.312734 0.949841i \(-0.398755\pi\)
0.312734 + 0.949841i \(0.398755\pi\)
\(488\) −4680.41 + 8106.71i −0.434164 + 0.751995i
\(489\) −2767.09 3710.70i −0.255894 0.343156i
\(490\) −303.863 275.248i −0.0280146 0.0253764i
\(491\) 2394.40 1382.41i 0.220077 0.127062i −0.385909 0.922537i \(-0.626112\pi\)
0.605986 + 0.795475i \(0.292779\pi\)
\(492\) 459.786 54.1111i 0.0421317 0.00495836i
\(493\) 1306.68 + 754.411i 0.119371 + 0.0689188i
\(494\) 15470.0i 1.40896i
\(495\) 457.338 + 136.128i 0.0415269 + 0.0123606i
\(496\) 645.694i 0.0584526i
\(497\) −5897.52 + 2615.20i −0.532273 + 0.236031i
\(498\) 7190.08 + 3094.73i 0.646978 + 0.278471i
\(499\) 1527.72 + 2646.09i 0.137054 + 0.237385i 0.926380 0.376589i \(-0.122903\pi\)
−0.789326 + 0.613974i \(0.789570\pi\)
\(500\) 46.5968 + 80.7080i 0.00416774 + 0.00721874i
\(501\) 2370.69 5507.89i 0.211407 0.491167i
\(502\) 12071.0 + 6969.18i 1.07321 + 0.619621i
\(503\) 15649.8 1.38726 0.693630 0.720331i \(-0.256010\pi\)
0.693630 + 0.720331i \(0.256010\pi\)
\(504\) 1510.56 + 11729.0i 0.133504 + 1.03661i
\(505\) 635.729 0.0560189
\(506\) 13397.0 + 7734.74i 1.17701 + 0.679548i
\(507\) −20916.8 + 2461.64i −1.83224 + 0.215631i
\(508\) −63.1416 109.365i −0.00551468 0.00955170i
\(509\) −5822.79 10085.4i −0.507054 0.878243i −0.999967 0.00816434i \(-0.997401\pi\)
0.492913 0.870079i \(-0.335932\pi\)
\(510\) −48.5175 + 36.1798i −0.00421253 + 0.00314131i
\(511\) −15639.2 + 6935.03i −1.35389 + 0.600368i
\(512\) 12843.5i 1.10861i
\(513\) −3530.81 9629.46i −0.303877 0.828754i
\(514\) 17338.9i 1.48791i
\(515\) −369.067 213.081i −0.0315787 0.0182320i
\(516\) −236.668 317.374i −0.0201913 0.0270768i
\(517\) −18966.5 + 10950.3i −1.61343 + 0.931515i
\(518\) 1771.46 16615.5i 0.150257 1.40935i
\(519\) −11355.4 + 1336.38i −0.960397 + 0.113027i
\(520\) −417.472 + 723.082i −0.0352064 + 0.0609793i
\(521\) 3960.23 0.333015 0.166508 0.986040i \(-0.446751\pi\)
0.166508 + 0.986040i \(0.446751\pi\)
\(522\) −10884.7 + 2597.97i −0.912663 + 0.217835i
\(523\) 19478.4i 1.62855i −0.580481 0.814274i \(-0.697135\pi\)
0.580481 0.814274i \(-0.302865\pi\)
\(524\) 1124.46 1947.62i 0.0937448 0.162371i
\(525\) 6118.41 + 10334.7i 0.508627 + 0.859133i
\(526\) 5050.64 + 8747.96i 0.418666 + 0.725151i
\(527\) 96.2381 55.5631i 0.00795484 0.00459273i
\(528\) −10694.4 4603.05i −0.881464 0.379398i
\(529\) 4579.77 7932.39i 0.376409 0.651960i
\(530\) 286.861 0.0235103
\(531\) 6640.10 1584.86i 0.542666 0.129524i
\(532\) 914.083 + 666.209i 0.0744935 + 0.0542929i
\(533\) 7301.87 + 4215.74i 0.593394 + 0.342596i
\(534\) 1048.51 + 8909.29i 0.0849691 + 0.721990i
\(535\) −339.791 + 196.178i −0.0274588 + 0.0158533i
\(536\) −554.909 + 320.377i −0.0447172 + 0.0258175i
\(537\) −2292.04 + 1709.19i −0.184188 + 0.137350i
\(538\) 10156.4 + 5863.81i 0.813892 + 0.469901i
\(539\) −12922.3 + 4156.07i −1.03266 + 0.332124i
\(540\) −8.96615 + 51.5668i −0.000714522 + 0.00410941i
\(541\) 17325.2 1.37684 0.688420 0.725312i \(-0.258305\pi\)
0.688420 + 0.725312i \(0.258305\pi\)
\(542\) 3325.87 5760.58i 0.263576 0.456528i
\(543\) −8552.44 + 6377.61i −0.675912 + 0.504032i
\(544\) −317.691 + 183.419i −0.0250384 + 0.0144559i
\(545\) 28.6585 + 49.6379i 0.00225246 + 0.00390138i
\(546\) −9988.74 + 17746.4i −0.782928 + 1.39098i
\(547\) 1586.64 2748.14i 0.124021 0.214812i −0.797329 0.603546i \(-0.793754\pi\)
0.921350 + 0.388734i \(0.127087\pi\)
\(548\) 1652.80i 0.128840i
\(549\) −7761.79 + 7346.18i −0.603397 + 0.571088i
\(550\) −13220.0 −1.02492
\(551\) −5659.87 + 9803.17i −0.437601 + 0.757948i
\(552\) −7094.93 + 16483.8i −0.547065 + 1.27101i
\(553\) −10321.2 1100.39i −0.793672 0.0846172i
\(554\) 13969.2 8065.12i 1.07129 0.618509i
\(555\) 309.227 718.435i 0.0236504 0.0549475i
\(556\) 889.805 + 513.729i 0.0678707 + 0.0391852i
\(557\) 11046.4i 0.840304i 0.907454 + 0.420152i \(0.138023\pi\)
−0.907454 + 0.420152i \(0.861977\pi\)
\(558\) −235.127 + 789.937i −0.0178382 + 0.0599295i
\(559\) 7210.20i 0.545544i
\(560\) 189.822 + 428.068i 0.0143240 + 0.0323021i
\(561\) 234.204 + 1990.06i 0.0176259 + 0.149769i
\(562\) 5338.17 + 9245.98i 0.400671 + 0.693982i
\(563\) −2213.27 3833.50i −0.165681 0.286968i 0.771216 0.636574i \(-0.219649\pi\)
−0.936897 + 0.349606i \(0.886316\pi\)
\(564\) −1436.07 1925.78i −0.107215 0.143777i
\(565\) 206.979 + 119.500i 0.0154118 + 0.00889802i
\(566\) −17487.0 −1.29864
\(567\) −2167.23 + 13326.2i −0.160521 + 0.987032i
\(568\) 8238.09 0.608561
\(569\) 9164.47 + 5291.11i 0.675210 + 0.389833i 0.798048 0.602594i \(-0.205866\pi\)
−0.122838 + 0.992427i \(0.539199\pi\)
\(570\) −271.434 363.996i −0.0199458 0.0267476i
\(571\) 11167.7 + 19343.0i 0.818480 + 1.41765i 0.906802 + 0.421557i \(0.138516\pi\)
−0.0883214 + 0.996092i \(0.528150\pi\)
\(572\) 1306.90 + 2263.62i 0.0955320 + 0.165466i
\(573\) 181.008 + 1538.04i 0.0131967 + 0.112134i
\(574\) 4833.00 2143.15i 0.351438 0.155842i
\(575\) 18225.4i 1.32183i
\(576\) 4265.08 14329.1i 0.308528 1.03654i
\(577\) 6646.62i 0.479553i 0.970828 + 0.239777i \(0.0770742\pi\)
−0.970828 + 0.239777i \(0.922926\pi\)
\(578\) 11168.6 + 6448.17i 0.803721 + 0.464029i
\(579\) −6279.53 + 14589.4i −0.450723 + 1.04718i
\(580\) 50.0278 28.8836i 0.00358154 0.00206780i
\(581\) −10364.7 1105.03i −0.740102 0.0789058i
\(582\) 2716.15 6310.51i 0.193451 0.449449i
\(583\) 4748.75 8225.08i 0.337347 0.584302i
\(584\) 21845.9 1.54793
\(585\) −692.317 + 655.246i −0.0489295 + 0.0463096i
\(586\) 22407.3i 1.57958i
\(587\) −57.5485 + 99.6770i −0.00404648 + 0.00700870i −0.868042 0.496492i \(-0.834621\pi\)
0.863995 + 0.503500i \(0.167955\pi\)
\(588\) −618.427 1354.45i −0.0433733 0.0949941i
\(589\) 416.855 + 722.013i 0.0291616 + 0.0505094i
\(590\) 261.731 151.110i 0.0182632 0.0105443i
\(591\) 13881.9 10351.8i 0.966202 0.720503i
\(592\) −9542.35 + 16527.8i −0.662480 + 1.14745i
\(593\) 13996.5 0.969251 0.484625 0.874722i \(-0.338956\pi\)
0.484625 + 0.874722i \(0.338956\pi\)
\(594\) −11407.2 9525.64i −0.787954 0.657983i
\(595\) 47.4673 65.1283i 0.00327053 0.00448739i
\(596\) 1401.98 + 809.435i 0.0963548 + 0.0556305i
\(597\) −15976.8 + 11914.0i −1.09529 + 0.816765i
\(598\) −26762.9 + 15451.6i −1.83013 + 1.05663i
\(599\) −7820.94 + 4515.42i −0.533481 + 0.308005i −0.742433 0.669921i \(-0.766328\pi\)
0.208952 + 0.977926i \(0.432995\pi\)
\(600\) −1792.52 15231.2i −0.121966 1.03635i
\(601\) −854.920 493.588i −0.0580248 0.0335006i 0.470707 0.882290i \(-0.343999\pi\)
−0.528732 + 0.848789i \(0.677332\pi\)
\(602\) −3653.66 2662.89i −0.247362 0.180284i
\(603\) −711.543 + 169.832i −0.0480536 + 0.0114694i
\(604\) −1208.66 −0.0814235
\(605\) 52.5111 90.9519i 0.00352873 0.00611193i
\(606\) −18186.8 7827.90i −1.21912 0.524730i
\(607\) 24746.4 14287.4i 1.65474 0.955364i 0.679654 0.733533i \(-0.262130\pi\)
0.975085 0.221832i \(-0.0712035\pi\)
\(608\) −1376.08 2383.43i −0.0917882 0.158982i
\(609\) 12822.5 7591.20i 0.853189 0.505108i
\(610\) −236.561 + 409.736i −0.0157018 + 0.0271963i
\(611\) 43750.5i 2.89682i
\(612\) −213.790 + 51.0276i −0.0141208 + 0.00337037i
\(613\) −25910.7 −1.70722 −0.853609 0.520915i \(-0.825591\pi\)
−0.853609 + 0.520915i \(0.825591\pi\)
\(614\) −4806.63 + 8325.33i −0.315928 + 0.547203i
\(615\) 245.775 28.9246i 0.0161148 0.00189651i
\(616\) 17236.0 + 1837.61i 1.12737 + 0.120194i
\(617\) 16717.2 9651.66i 1.09077 0.629759i 0.156991 0.987600i \(-0.449820\pi\)
0.933782 + 0.357841i \(0.116487\pi\)
\(618\) 7934.44 + 10640.2i 0.516456 + 0.692574i
\(619\) 8336.56 + 4813.12i 0.541316 + 0.312529i 0.745612 0.666380i \(-0.232157\pi\)
−0.204296 + 0.978909i \(0.565490\pi\)
\(620\) 4.25460i 0.000275595i
\(621\) −13132.2 + 15726.2i −0.848597 + 1.01622i
\(622\) 14449.7i 0.931478i
\(623\) −4842.32 10919.9i −0.311402 0.702241i
\(624\) 18645.5 13904.0i 1.19618 0.891999i
\(625\) −7775.13 13466.9i −0.497608 0.861883i
\(626\) −3414.10 5913.39i −0.217979 0.377551i
\(627\) −14930.1 + 1757.09i −0.950959 + 0.111916i
\(628\) −1429.81 825.501i −0.0908529 0.0524540i
\(629\) 3284.54 0.208209
\(630\) 76.3481 + 592.818i 0.00482823 + 0.0374896i
\(631\) 9205.14 0.580746 0.290373 0.956914i \(-0.406221\pi\)
0.290373 + 0.956914i \(0.406221\pi\)
\(632\) 11478.6 + 6627.18i 0.722460 + 0.417113i
\(633\) 11877.0 27594.1i 0.745762 1.73265i
\(634\) −11973.7 20739.1i −0.750058 1.29914i
\(635\) −33.7519 58.4599i −0.00210929 0.00365340i
\(636\) 956.907 + 411.869i 0.0596601 + 0.0256787i
\(637\) 5717.15 26507.5i 0.355607 1.64877i
\(638\) 16402.3i 1.01782i
\(639\) 9014.34 + 2683.14i 0.558062 + 0.166109i
\(640\) 527.373i 0.0325723i
\(641\) −15509.1 8954.17i −0.955651 0.551745i −0.0608189 0.998149i \(-0.519371\pi\)
−0.894832 + 0.446404i \(0.852705\pi\)
\(642\) 12136.2 1428.28i 0.746074 0.0878035i
\(643\) −8189.11 + 4727.98i −0.502250 + 0.289974i −0.729642 0.683829i \(-0.760313\pi\)
0.227392 + 0.973803i \(0.426980\pi\)
\(644\) 239.539 2246.77i 0.0146570 0.137477i
\(645\) −126.509 169.650i −0.00772292 0.0103565i
\(646\) 953.373 1651.29i 0.0580650 0.100571i
\(647\) 2719.32 0.165235 0.0826177 0.996581i \(-0.473672\pi\)
0.0826177 + 0.996581i \(0.473672\pi\)
\(648\) 9428.06 14434.2i 0.571558 0.875046i
\(649\) 10006.0i 0.605194i
\(650\) 13204.7 22871.3i 0.796818 1.38013i
\(651\) −12.0007 1097.41i −0.000722494 0.0660691i
\(652\) −372.104 644.503i −0.0223508 0.0387127i
\(653\) −18950.9 + 10941.3i −1.13569 + 0.655692i −0.945360 0.326028i \(-0.894289\pi\)
−0.190331 + 0.981720i \(0.560956\pi\)
\(654\) −208.649 1772.91i −0.0124752 0.106003i
\(655\) 601.071 1041.09i 0.0358562 0.0621047i
\(656\) −6038.32 −0.359385
\(657\) 23904.4 + 7115.21i 1.41948 + 0.422513i
\(658\) −22169.9 16158.0i −1.31348 0.957302i
\(659\) −12468.9 7198.91i −0.737054 0.425538i 0.0839434 0.996471i \(-0.473248\pi\)
−0.820997 + 0.570932i \(0.806582\pi\)
\(660\) 70.4674 + 30.3304i 0.00415597 + 0.00178880i
\(661\) −97.0927 + 56.0565i −0.00571326 + 0.00329855i −0.502854 0.864371i \(-0.667717\pi\)
0.497141 + 0.867670i \(0.334383\pi\)
\(662\) −5726.65 + 3306.28i −0.336212 + 0.194112i
\(663\) −3676.82 1582.57i −0.215378 0.0927026i
\(664\) 11527.0 + 6655.12i 0.673696 + 0.388959i
\(665\) 488.616 + 356.117i 0.0284928 + 0.0207663i
\(666\) −17692.6 + 16745.2i −1.02939 + 0.974270i
\(667\) 22612.5 1.31268
\(668\) 482.043 834.922i 0.0279203 0.0483595i
\(669\) 809.037 + 6874.46i 0.0467551 + 0.397282i
\(670\) −28.0467 + 16.1928i −0.00161722 + 0.000933703i
\(671\) 7832.16 + 13565.7i 0.450607 + 0.780474i
\(672\) 39.6154 + 3622.66i 0.00227410 + 0.207957i
\(673\) 407.222 705.330i 0.0233243 0.0403989i −0.854128 0.520063i \(-0.825908\pi\)
0.877452 + 0.479665i \(0.159242\pi\)
\(674\) 14289.0i 0.816607i
\(675\) 2999.37 17250.2i 0.171031 0.983646i
\(676\) −3386.14 −0.192657
\(677\) −12060.1 + 20888.6i −0.684647 + 1.18584i 0.288901 + 0.957359i \(0.406710\pi\)
−0.973548 + 0.228484i \(0.926623\pi\)
\(678\) −4449.78 5967.20i −0.252054 0.338007i
\(679\) −969.849 + 9096.76i −0.0548150 + 0.514141i
\(680\) −89.1231 + 51.4552i −0.00502605 + 0.00290179i
\(681\) 8117.50 955.327i 0.456774 0.0537566i
\(682\) 1046.20 + 604.022i 0.0587403 + 0.0339138i
\(683\) 2642.57i 0.148046i −0.997257 0.0740228i \(-0.976416\pi\)
0.997257 0.0740228i \(-0.0235838\pi\)
\(684\) −382.827 1603.93i −0.0214002 0.0896606i
\(685\) 883.493i 0.0492796i
\(686\) −11320.8 12686.9i −0.630072 0.706103i
\(687\) 32550.8 + 14010.4i 1.80770 + 0.778065i
\(688\) 2581.84 + 4471.88i 0.143070 + 0.247804i
\(689\) 9486.51 + 16431.1i 0.524539 + 0.908528i
\(690\) −358.598 + 833.140i −0.0197849 + 0.0459668i
\(691\) 12315.9 + 7110.57i 0.678029 + 0.391460i 0.799112 0.601182i \(-0.205303\pi\)
−0.121083 + 0.992642i \(0.538637\pi\)
\(692\) −1838.28 −0.100984
\(693\) 18261.6 + 7624.51i 1.00101 + 0.417938i
\(694\) −3145.39 −0.172043
\(695\) 475.638 + 274.610i 0.0259597 + 0.0149878i
\(696\) −18897.6 + 2224.00i −1.02918 + 0.121122i
\(697\) 519.608 + 899.987i 0.0282375 + 0.0489088i
\(698\) 8005.55 + 13866.0i 0.434118 + 0.751915i
\(699\) 6602.76 4923.72i 0.357281 0.266427i
\(700\) 782.748 + 1765.17i 0.0422644 + 0.0953104i
\(701\) 5049.19i 0.272048i −0.990706 0.136024i \(-0.956568\pi\)
0.990706 0.136024i \(-0.0434324\pi\)
\(702\) 27873.8 10220.4i 1.49862 0.549494i
\(703\) 24641.8i 1.32203i
\(704\) −18977.5 10956.7i −1.01597 0.586569i
\(705\) −767.638 1029.41i −0.0410084 0.0549927i
\(706\) −7641.81 + 4412.00i −0.407370 + 0.235195i
\(707\) 26216.7 + 2795.08i 1.39460 + 0.148684i
\(708\) 1090.04 128.284i 0.0578618 0.00680960i
\(709\) −8032.47 + 13912.6i −0.425481 + 0.736954i −0.996465 0.0840068i \(-0.973228\pi\)
0.570985 + 0.820961i \(0.306562\pi\)
\(710\) 416.376 0.0220089
\(711\) 10401.7 + 10990.2i 0.548658 + 0.579698i
\(712\) 15253.7i 0.802889i
\(713\) 832.716 1442.31i 0.0437384 0.0757571i
\(714\) −2159.87 + 1278.70i −0.113209 + 0.0670224i
\(715\) 698.594 + 1210.00i 0.0365398 + 0.0632887i
\(716\) −398.101 + 229.843i −0.0207789 + 0.0119967i
\(717\) −31446.9 13535.3i −1.63794 0.705000i
\(718\) 2504.79 4338.42i 0.130192 0.225499i
\(719\) −26291.7 −1.36372 −0.681860 0.731482i \(-0.738829\pi\)
−0.681860 + 0.731482i \(0.738829\pi\)
\(720\) 194.754 654.301i 0.0100806 0.0338671i
\(721\) −14283.0 10409.8i −0.737763 0.537702i
\(722\) −3511.04 2027.10i −0.180980 0.104489i
\(723\) −2371.56 20151.3i −0.121991 1.03656i
\(724\) −1485.46 + 857.628i −0.0762521 + 0.0440242i
\(725\) −16735.4 + 9662.17i −0.857291 + 0.494957i
\(726\) −2622.14 + 1955.34i −0.134045 + 0.0999582i
\(727\) −29281.6 16905.8i −1.49380 0.862448i −0.493830 0.869559i \(-0.664403\pi\)
−0.999975 + 0.00711022i \(0.997737\pi\)
\(728\) −20395.2 + 27983.5i −1.03832 + 1.42464i
\(729\) 15017.7 12723.6i 0.762977 0.646426i
\(730\) 1104.16 0.0559817
\(731\) 444.344 769.627i 0.0224825 0.0389408i
\(732\) −1377.41 + 1027.14i −0.0695499 + 0.0518638i
\(733\) −9659.36 + 5576.83i −0.486735 + 0.281016i −0.723219 0.690619i \(-0.757338\pi\)
0.236484 + 0.971635i \(0.424005\pi\)
\(734\) 177.353 + 307.185i 0.00891857 + 0.0154474i
\(735\) −330.575 724.010i −0.0165897 0.0363340i
\(736\) −2748.87 + 4761.19i −0.137670 + 0.238451i
\(737\) 1072.23i 0.0535905i
\(738\) −7387.23 2198.83i −0.368466 0.109675i
\(739\) 10412.2 0.518291 0.259146 0.965838i \(-0.416559\pi\)
0.259146 + 0.965838i \(0.416559\pi\)
\(740\) 62.8764 108.905i 0.00312349 0.00541004i
\(741\) 11873.0 27584.8i 0.588617 1.36755i
\(742\) 11829.8 + 1261.23i 0.585290 + 0.0624006i
\(743\) −3776.55 + 2180.39i −0.186471 + 0.107659i −0.590330 0.807162i \(-0.701002\pi\)
0.403858 + 0.914822i \(0.367669\pi\)
\(744\) −554.057 + 1287.25i −0.0273020 + 0.0634315i
\(745\) 749.419 + 432.677i 0.0368545 + 0.0212779i
\(746\) 5049.73i 0.247833i
\(747\) 10445.6 + 11036.6i 0.511625 + 0.540571i
\(748\) 322.163i 0.0157479i
\(749\) −14875.1 + 6596.21i −0.725666 + 0.321789i
\(750\) −181.343 1540.89i −0.00882894 0.0750203i
\(751\) −19401.4 33604.1i −0.942697 1.63280i −0.760298 0.649574i \(-0.774947\pi\)
−0.182399 0.983225i \(-0.558386\pi\)
\(752\) 15666.3 + 27134.8i 0.759694 + 1.31583i
\(753\) 16175.2 + 21691.1i 0.782812 + 1.04976i
\(754\) −28376.7 16383.3i −1.37058 0.791305i
\(755\) −646.081 −0.0311435
\(756\) −596.475 + 2087.13i −0.0286952 + 0.100408i
\(757\) 26111.4 1.25368 0.626840 0.779148i \(-0.284348\pi\)
0.626840 + 0.779148i \(0.284348\pi\)
\(758\) 14580.7 + 8418.18i 0.698674 + 0.403380i
\(759\) 17952.1 + 24073.9i 0.858523 + 1.15129i
\(760\) −386.036 668.634i −0.0184250 0.0319130i
\(761\) −11401.0 19747.0i −0.543081 0.940644i −0.998725 0.0504816i \(-0.983924\pi\)
0.455644 0.890162i \(-0.349409\pi\)
\(762\) 245.731 + 2088.00i 0.0116823 + 0.0992655i
\(763\) 963.598 + 2173.01i 0.0457203 + 0.103104i
\(764\) 248.988i 0.0117907i
\(765\) −114.280 + 27.2764i −0.00540104 + 0.00128912i
\(766\) 6834.85i 0.322393i
\(767\) 17310.9 + 9994.45i 0.814942 + 0.470507i
\(768\) 2606.35 6055.40i 0.122459 0.284512i
\(769\) 1260.21 727.581i 0.0590952 0.0341187i −0.470161 0.882581i \(-0.655804\pi\)
0.529257 + 0.848462i \(0.322471\pi\)
\(770\) 871.155 + 92.8780i 0.0407718 + 0.00434687i
\(771\) −13307.4 + 30917.3i −0.621599 + 1.44418i
\(772\) −1276.84 + 2211.56i −0.0595267 + 0.103103i
\(773\) 281.797 0.0131120 0.0065559