Properties

Label 63.4.o.a.20.8
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 20.8
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.31807 - 1.33834i) q^{2} +(3.10623 + 4.16549i) q^{3} +(-0.417710 - 0.723496i) q^{4} +(0.223284 + 0.386739i) q^{5} +(-1.62562 - 13.8131i) q^{6} +(18.4159 - 1.96340i) q^{7} +23.6495i q^{8} +(-7.70264 + 25.8780i) q^{9} +O(q^{10})\) \(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} +(18.4159 - 1.96340i) 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} +(-45.3170 - 20.0954i) 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} +(65.3826 + 70.6125i) 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} +(-57.0580 - 251.188i) 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} +(335.290 - 72.3157i) 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} +(46.4336 + 435.527i) 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} +(-91.0421 + 491.689i) 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} +(-2.34689 - 22.0128i) 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} +(670.017 + 297.112i) 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} +(23.7768 - 76.7996i) 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 0.875838 0.482605i \(-0.160309\pi\)
−0.855867 + 0.517196i \(0.826976\pi\)
\(6\) −1.62562 13.8131i −0.110610 0.939861i
\(7\) 18.4159 1.96340i 0.994365 0.106014i
\(8\) 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 0.461662 0.887056i \(-0.347253\pi\)
0.999044 + 0.0437164i \(0.0139198\pi\)
\(14\) −45.3170 20.0954i −0.865105 0.383622i
\(15\) −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 \(-0.477856\pi\)
0.0695099 + 0.997581i \(0.477856\pi\)
\(18\) 52.4887 49.6781i 0.687317 0.650514i
\(19\) 73.1051i 0.882709i 0.897333 + 0.441354i \(0.145502\pi\)
−0.897333 + 0.441354i \(0.854498\pi\)
\(20\) 0.186536 0.323090i 0.00208553 0.00361225i
\(21\) 65.3826 + 70.6125i 0.679412 + 0.733757i
\(22\) −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 −0.471117 0.882071i \(-0.656149\pi\)
0.528338 + 0.849034i \(0.322816\pi\)
\(32\) 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 0.949532 0.313671i \(-0.101559\pi\)
−0.746413 + 0.665483i \(0.768226\pi\)
\(42\) −57.0580 251.188i −0.209625 0.922838i
\(43\) −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 \(-0.504585\pi\)
0.873137 0.487474i \(-0.162082\pi\)
\(48\) 292.183 34.3862i 0.878604 0.103401i
\(49\) 335.290 72.3157i 0.977522 0.210833i
\(50\) −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
\(56\) 46.4336 + 435.527i 0.110803 + 1.03928i
\(57\) −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 0.971125 0.238570i \(-0.0766787\pi\)
−0.692171 + 0.721734i \(0.743345\pi\)
\(60\) 1.92525 0.226578i 0.00414248 0.000487518i
\(61\) −342.785 197.907i −0.719494 0.415400i 0.0950723 0.995470i \(-0.469692\pi\)
−0.814566 + 0.580070i \(0.803025\pi\)
\(62\) −30.5255 −0.0625280
\(63\) −91.0421 + 491.689i −0.182067 + 0.983286i
\(64\) −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
\(70\) −2.34689 22.0128i −0.00400724 0.0375862i
\(71\) 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 \(0.265418\pi\)
−0.672040 + 0.740515i \(0.734582\pi\)
\(74\) 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
\(77\) 670.017 + 297.112i 0.991630 + 0.439729i
\(78\) −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 −0.989896 0.141797i \(-0.954712\pi\)
0.617748 + 0.786376i \(0.288045\pi\)
\(84\) 23.7768 76.7996i 0.0308841 0.0997562i
\(85\) 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 \(-0.625486\pi\)
−0.384094 + 0.923294i \(0.625486\pi\)
\(90\) 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 0.706893 0.707320i \(-0.250096\pi\)
−0.259111 + 0.965848i \(0.583429\pi\)
\(98\) −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 \(-0.585959\pi\)
0.968028 0.250842i \(-0.0807074\pi\)
\(102\) −15.8405 134.598i −0.0153769 0.130659i
\(103\) −826.452 + 477.152i −0.790609 + 0.456458i −0.840177 0.542312i \(-0.817549\pi\)
0.0495678 + 0.998771i \(0.484216\pi\)
\(104\) 934.846 + 1619.20i 0.881434 + 1.52669i
\(105\) −12.7097 + 41.0526i −0.0118128 + 0.0381555i
\(106\) −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
\(112\) 425.070 958.573i 0.358619 0.808720i
\(113\) −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
\(119\) 179.450 19.1320i 0.138236 0.0147380i
\(120\) −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
\(126\) 869.087 1017.92i 0.614480 0.719713i
\(127\) 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 \(-0.811902\pi\)
−0.0672769 0.997734i \(-0.521431\pi\)
\(132\) 137.718 102.697i 0.0908094 0.0677171i
\(133\) 143.535 + 1346.30i 0.0935794 + 0.877734i
\(134\) 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 −0.138499 0.990363i \(-0.544228\pi\)
0.788430 + 0.615125i \(0.210894\pi\)
\(140\) 2.80087 6.31623i 0.00169083 0.00381299i
\(141\) 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
\(147\) 1342.72 + 1172.02i 0.753372 + 0.657595i
\(148\) 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 −0.867351 0.497697i \(-0.834179\pi\)
−0.00265752 + 0.999996i \(0.500846\pi\)
\(158\) −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 0.700815 0.713343i \(-0.252820\pi\)
−0.968181 + 0.250252i \(0.919486\pi\)
\(168\) −1669.95 + 1546.27i −0.766902 + 0.710102i
\(169\) 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 −0.999821 0.0189348i \(-0.993972\pi\)
0.516308 + 0.856403i \(0.327306\pi\)
\(174\) −851.429 + 1978.15i −0.370958 + 0.861856i
\(175\) 936.951 2112.92i 0.404725 0.912694i
\(176\) 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 \(0.138523\pi\)
−0.906793 + 0.421576i \(0.861477\pi\)
\(182\) −3897.05 + 415.482i −1.58719 + 0.169218i
\(183\) −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
\(189\) −2330.93 + 1148.07i −0.897089 + 0.441849i
\(190\) 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
\(196\) −192.374 212.374i −0.0701072 0.0773957i
\(197\) 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 \(0.239390\pi\)
−0.730280 + 0.683148i \(0.760610\pi\)
\(200\) 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
\(203\) −2621.52 1162.49i −0.906379 0.401925i
\(204\) 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
\(210\) 84.4041 78.1528i 0.0277354 0.0256812i
\(211\) 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 0.663112 0.748520i \(-0.269235\pi\)
−0.316681 + 0.948532i \(0.602569\pi\)
\(224\) 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 −0.727834 0.685754i \(-0.759473\pi\)
0.957797 + 0.287446i \(0.0928060\pi\)
\(228\) 291.493 + 125.464i 0.0846693 + 0.0364431i
\(229\) 5906.31 3410.01i 1.70437 0.984017i 0.763148 0.646224i \(-0.223653\pi\)
0.941220 0.337793i \(-0.109680\pi\)
\(230\) 87.2796 + 151.173i 0.0250219 + 0.0433393i
\(231\) 843.609 + 3713.85i 0.240283 + 1.05781i
\(232\) 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
\(238\) −441.581 195.815i −0.120267 0.0533310i
\(239\) 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 −0.0254276 0.999677i \(-0.508095\pi\)
−0.878459 + 0.477817i \(0.841428\pi\)
\(242\) 629.491i 0.167212i
\(243\) −235.249 3780.68i −0.0621037 0.998070i
\(244\) 330.671i 0.0867585i
\(245\) 102.832 + 113.523i 0.0268151 + 0.0296029i
\(246\) 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 \(-0.272774\pi\)
0.654750 + 0.755846i \(0.272774\pi\)
\(252\) 393.764 139.515i 0.0984318 0.0348755i
\(253\) −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 \(0.121254\pi\)
−0.142184 + 0.989840i \(0.545413\pi\)
\(258\) 1165.12 + 501.488i 0.281152 + 0.121013i
\(259\) −6207.52 + 661.813i −1.48925 + 0.158776i
\(260\) 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
\(266\) 1469.07 3312.90i 0.338627 0.763636i
\(267\) −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 \(-0.334603\pi\)
0.496542 + 0.868013i \(0.334603\pi\)
\(270\) 57.7310 + 157.448i 0.0130126 + 0.0354888i
\(271\) 2485.08i 0.557040i −0.960430 0.278520i \(-0.910156\pi\)
0.960430 0.278520i \(-0.0898438\pi\)
\(272\) 275.854 477.794i 0.0614931 0.106509i
\(273\) 7267.76 + 2250.07i 1.61123 + 0.498829i
\(274\) 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 −0.957948 0.286944i \(-0.907361\pi\)
−0.230473 + 0.973079i \(0.574027\pi\)
\(284\) −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 \(-0.852383\pi\)
0.0598110 0.998210i \(-0.480950\pi\)
\(294\) −1543.96 4513.83i −0.306277 0.895414i
\(295\) −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
\(301\) −684.700 + 1544.06i −0.131114 + 0.295676i
\(302\) −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 \(0.108344\pi\)
−0.942630 + 0.333840i \(0.891656\pi\)
\(308\) −64.9136 608.861i −0.0120091 0.112640i
\(309\) −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 0.999959 0.00904760i \(-0.00287998\pi\)
−0.507815 + 0.861466i \(0.669547\pi\)
\(312\) −3840.92 + 8923.70i −0.696952 + 1.61925i
\(313\) −2209.23 1275.50i −0.398956 0.230337i 0.287077 0.957907i \(-0.407316\pi\)
−0.686033 + 0.727570i \(0.740650\pi\)
\(314\) 5289.78 0.950700
\(315\) −210.484 + 74.5767i −0.0376489 + 0.0133394i
\(316\) −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
\(322\) 7198.60 767.477i 1.24585 0.132826i
\(323\) 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
\(329\) 4154.66 9369.16i 0.696213 1.57003i
\(330\) 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
\(336\) 5313.30 1206.93i 0.862691 0.195962i
\(337\) −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 0.841560 0.540163i \(-0.181638\pi\)
−0.0470151 + 0.998894i \(0.514971\pi\)
\(350\) −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 −0.963118 0.269079i \(-0.913281\pi\)
0.714588 + 0.699545i \(0.246614\pi\)
\(354\) 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
\(357\) 637.106 + 688.068i 0.0944517 + 0.102007i
\(358\) −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
\(364\) −1118.20 495.853i −0.161015 0.0714004i
\(365\) −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 0.508139 0.861275i \(-0.330333\pi\)
−0.491816 + 0.870699i \(0.663667\pi\)
\(368\) 8268.37i 1.17125i
\(369\) −2800.84 + 668.507i −0.395138 + 0.0943118i
\(370\) 402.910i 0.0566116i
\(371\) −471.193 4419.59i −0.0659384 0.618473i
\(372\) −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
\(378\) 6939.74 + 458.269i 0.944290 + 0.0623567i
\(379\) −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 0.768202 0.640208i \(-0.221152\pi\)
−0.938537 + 0.345178i \(0.887819\pi\)
\(384\) 717.225 + 6094.32i 0.0953144 + 0.809895i
\(385\) 34.6990 + 325.462i 0.00459332 + 0.0430833i
\(386\) 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
\(392\) 1710.23 + 7929.45i 0.220357 + 1.02168i
\(393\) 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 \(-0.880919\pi\)
0.930835 0.365440i \(-0.119081\pi\)
\(398\) 5133.22 8891.00i 0.646495 1.11976i
\(399\) −5162.13 + 4779.80i −0.647694 + 0.599723i
\(400\) −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 −0.0602858 0.998181i \(-0.519201\pi\)
0.834307 + 0.551300i \(0.185868\pi\)
\(410\) 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 0.989300 0.145892i \(-0.0466054\pi\)
−0.620997 + 0.783813i \(0.713272\pi\)
\(420\) 35.0103 7.95268i 0.00406745 0.000923931i
\(421\) 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
\(427\) −6701.27 2971.61i −0.759478 0.336783i
\(428\) −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 \(-0.814111\pi\)
0.834270 0.551355i \(-0.185889\pi\)
\(434\) −562.153 + 59.9338i −0.0621756 + 0.00662884i
\(435\) 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 0.329948 0.943999i \(-0.392969\pi\)
−0.652553 + 0.757743i \(0.726302\pi\)
\(440\) −417.956 −0.0452847
\(441\) −711.236 + 9233.65i −0.0767991 + 0.997047i
\(442\) −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
\(448\) −10197.2 + 1087.17i −1.07538 + 0.114652i
\(449\) 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
\(455\) 597.723 + 265.054i 0.0615861 + 0.0273098i
\(456\) −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 −0.964550 0.263901i \(-0.914991\pi\)
0.710820 + 0.703374i \(0.248324\pi\)
\(462\) 3014.84 9737.99i 0.303600 0.980632i
\(463\) 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 \(-0.144126\pi\)
0.899232 + 0.437471i \(0.144126\pi\)
\(468\) 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 −0.909398 0.415928i \(-0.863457\pi\)
0.814903 + 0.579597i \(0.196790\pi\)
\(480\) 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
\(483\) −13425.0 4156.32i −1.26472 0.391551i
\(484\) 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
\(490\) −86.4401 400.777i −0.00796931 0.0369495i
\(491\) 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
\(497\) −683.933 6415.00i −0.0617275 0.578978i
\(498\) 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 \(-0.743990\pi\)
−0.693630 + 0.720331i \(0.743990\pi\)
\(504\) −11628.2 2153.10i −1.02770 0.190291i
\(505\) 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 \(0.00259882\pi\)
−0.492913 + 0.870079i \(0.664068\pi\)
\(510\) 48.5175 36.1798i 0.00421253 0.00314131i
\(511\) 1813.67 + 17011.4i 0.157010 + 1.47268i
\(512\) 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
\(518\) 15275.2 + 6773.62i 1.29566 + 0.574548i
\(519\) −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 \(-0.553249\pi\)
−0.166508 + 0.986040i \(0.553249\pi\)
\(522\) −10884.7 + 2597.97i −0.912663 + 0.217835i
\(523\) 19478.4i 1.62855i 0.580481 + 0.814274i \(0.302865\pi\)
−0.580481 + 0.814274i \(0.697135\pi\)
\(524\) −1124.46 + 1947.62i −0.0937448 + 0.162371i
\(525\) 11711.7 2660.34i 0.973603 0.221156i
\(526\) 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
\(546\) −13835.8 14942.5i −1.08447 1.17121i
\(547\) 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
\(553\) 4207.62 9488.59i 0.323556 0.729649i
\(554\) 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
\(560\) 465.629 49.6429i 0.0351364 0.00374606i
\(561\) 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 0.936897 0.349606i \(-0.113684\pi\)
−0.771216 + 0.636574i \(0.780351\pi\)
\(564\) −1436.07 1925.78i −0.107215 0.143777i
\(565\) −206.979 119.500i −0.0154118 0.00889802i
\(566\) 17487.0 1.29864
\(567\) −12022.7 6143.29i −0.890483 0.455016i
\(568\) 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
\(574\) −560.481 5257.07i −0.0407562 0.382275i
\(575\) 18225.4i 1.32183i
\(576\) 4265.08 14329.1i 0.308528 1.03654i
\(577\) 6646.62i 0.479553i −0.970828 0.239777i \(-0.922926\pi\)
0.970828 0.239777i \(-0.0770742\pi\)
\(578\) 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
\(581\) −4225.36 + 9528.59i −0.301717 + 0.680400i
\(582\) 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 −0.863995 0.503500i \(-0.832045\pi\)
0.868042 + 0.496492i \(0.165379\pi\)
\(588\) 287.083 1461.02i 0.0201345 0.102468i
\(589\) 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 \(-0.661044\pi\)
−0.484625 + 0.874722i \(0.661044\pi\)
\(594\) 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 0.528732 0.848789i \(-0.322668\pi\)
−0.470707 + 0.882290i \(0.656001\pi\)
\(602\) 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 \(0.737870\pi\)
−0.975085 + 0.221832i \(0.928796\pi\)
\(608\) 1376.08 + 2383.43i 0.0917882 + 0.158982i
\(609\) −3300.72 14530.9i −0.219626 0.966866i
\(610\) −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
\(616\) −7026.57 + 15845.6i −0.459592 + 1.03642i
\(617\) 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 0.204296 0.978909i \(-0.434510\pi\)
−0.745612 + 0.666380i \(0.767843\pi\)
\(620\) 4.25460i 0.000275595i
\(621\) 13132.2 15726.2i 0.848597 1.01622i
\(622\) 14449.7i 0.931478i
\(623\) −11878.1 + 1266.38i −0.763859 + 0.0814387i
\(624\) 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
\(630\) 587.724 + 108.824i 0.0371674 + 0.00688199i
\(631\) 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
\(637\) 20097.6 18204.9i 1.25007 1.13235i
\(638\) 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 −0.227392 0.973803i \(-0.573020\pi\)
0.729642 + 0.683829i \(0.239687\pi\)
\(644\) 2065.53 + 915.937i 0.126387 + 0.0560450i
\(645\) −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 \(-0.526328\pi\)
−0.0826177 + 0.996581i \(0.526328\pi\)
\(648\) 9428.06 14434.2i 0.571558 0.875046i
\(649\) 10006.0i 0.605194i
\(650\) −13204.7 + 22871.3i −0.796818 + 1.38013i
\(651\) 1048.38 + 324.575i 0.0631173 + 0.0195409i
\(652\) −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 −0.497141 0.867670i \(-0.665617\pi\)
0.502854 + 0.864371i \(0.332283\pi\)
\(662\) −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
\(672\) 3460.81 + 1071.45i 0.198666 + 0.0615062i
\(673\) 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 \(-0.593290\pi\)
0.973548 0.228484i \(-0.0733769\pi\)
\(678\) 4449.78 + 5967.20i 0.252054 + 0.338007i
\(679\) 8362.95 + 3708.47i 0.472667 + 0.209599i
\(680\) −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
\(686\) −16647.5 3460.65i −0.926539 0.192607i
\(687\) 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 0.121083 0.992642i \(-0.461363\pi\)
−0.799112 + 0.601182i \(0.794697\pi\)
\(692\) 1838.28 0.100984
\(693\) −12849.6 + 15050.1i −0.704350 + 0.824974i
\(694\) −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
\(700\) −1920.06 + 204.707i −0.103673 + 0.0110531i
\(701\) 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
\(707\) 10687.7 24101.8i 0.568533 1.28210i
\(708\) 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
\(714\) −555.989 2447.65i −0.0291420 0.128293i
\(715\) 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 \(-0.261171\pi\)
0.681860 + 0.731482i \(0.261171\pi\)
\(720\) −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 0.999975 0.00711022i \(-0.00226327\pi\)
0.493830 + 0.869559i \(0.335597\pi\)
\(728\) 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 −0.236484 0.971635i \(-0.575995\pi\)
0.723219 + 0.690619i \(0.242662\pi\)
\(734\) −177.353 307.185i −0.00891857 0.0154474i
\(735\) −153.458 + 780.974i −0.00770119 + 0.0391928i
\(736\) −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
\(742\) −4822.64 + 10875.5i −0.238605 + 0.538077i
\(743\) −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
\(749\) −1725.06 16180.3i −0.0841553 0.789340i
\(750\) −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
\(756\) 1804.27 + 1206.86i 0.0867999 + 0.0580594i
\(757\) 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 \(0.0160756\pi\)
−0.455644 + 0.890162i \(0.650591\pi\)
\(762\) −245.731 2088.00i −0.0116823 0.0992655i
\(763\) −2363.68 + 252.003i −0.112151 + 0.0119569i
\(764\) 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 −0.529257 0.848462i \(-0.677529\pi\)
0.470161 + 0.882581i \(0.344196\pi\)
\(770\) 355.143 800.882i 0.0166214 0.0374828i
\(771\) −13307.4 + 30917.3i −0.621599 + 1.44418i
\(772\) −1276.84 + 2211.56i −0.0595267 + 0.103103i
\(773\) −281.797 −0.0131120