Properties

Label 177.4.e.b.7.1
Level $177$
Weight $4$
Character 177.7
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.b.76.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.86839 - 4.23056i) q^{2} +(0.162417 - 2.99560i) q^{3} +(-6.70886 + 16.8380i) q^{4} +(19.1429 - 8.85647i) q^{5} +(-13.1389 + 7.90544i) q^{6} +(-6.91419 + 24.9026i) q^{7} +(50.5433 - 11.1254i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-2.86839 - 4.23056i) q^{2} +(0.162417 - 2.99560i) q^{3} +(-6.70886 + 16.8380i) q^{4} +(19.1429 - 8.85647i) q^{5} +(-13.1389 + 7.90544i) q^{6} +(-6.91419 + 24.9026i) q^{7} +(50.5433 - 11.1254i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(-92.3773 - 55.5815i) q^{10} +(25.0461 - 23.7249i) q^{11} +(49.3502 + 22.8318i) q^{12} +(64.9362 - 7.06224i) q^{13} +(125.185 - 42.1796i) q^{14} +(-23.4213 - 58.7831i) q^{15} +(-86.7736 - 82.1964i) q^{16} +(-29.8127 - 107.375i) q^{17} +(21.5475 + 40.6430i) q^{18} +(7.36338 - 5.59749i) q^{19} +(20.6976 + 381.745i) q^{20} +(73.4754 + 24.7567i) q^{21} +(-172.212 - 37.9066i) q^{22} +(13.6913 - 25.8246i) q^{23} +(-25.1182 - 153.214i) q^{24} +(207.092 - 243.808i) q^{25} +(-216.140 - 254.459i) q^{26} +(-4.36811 + 26.6443i) q^{27} +(-372.924 - 283.489i) q^{28} +(-118.909 + 175.378i) q^{29} +(-181.504 + 267.698i) q^{30} +(106.036 + 80.6063i) q^{31} +(-31.8539 + 194.300i) q^{32} +(-67.0025 - 78.8814i) q^{33} +(-368.744 + 434.119i) q^{34} +(88.1917 + 537.945i) q^{35} +(76.4103 - 144.125i) q^{36} +(-193.555 - 42.6046i) q^{37} +(-44.8016 - 15.0954i) q^{38} +(-10.6089 - 195.670i) q^{39} +(869.016 - 660.609i) q^{40} +(-33.7223 - 63.6069i) q^{41} +(-106.021 - 381.854i) q^{42} +(235.042 + 222.643i) q^{43} +(231.449 + 580.892i) q^{44} +(-179.895 + 60.6135i) q^{45} +(-148.524 + 16.1530i) q^{46} +(-168.679 - 78.0393i) q^{47} +(-260.321 + 246.589i) q^{48} +(-278.434 - 167.528i) q^{49} +(-1625.46 - 176.780i) q^{50} +(-326.496 + 71.8672i) q^{51} +(-316.734 + 1140.77i) q^{52} +(593.811 - 357.284i) q^{53} +(125.250 - 57.9467i) q^{54} +(269.337 - 675.985i) q^{55} +(-72.4133 + 1335.59i) q^{56} +(-15.5719 - 22.9669i) q^{57} +1083.03 q^{58} +(-362.103 - 272.507i) q^{59} +1146.92 q^{60} +(-193.835 - 285.885i) q^{61} +(36.8577 - 679.801i) q^{62} +(86.0949 - 216.082i) q^{63} +(45.5537 - 21.0754i) q^{64} +(1180.52 - 710.298i) q^{65} +(-141.523 + 509.721i) q^{66} +(39.9562 - 8.79503i) q^{67} +(2007.99 + 218.382i) q^{68} +(-75.1364 - 45.2081i) q^{69} +(2022.84 - 1916.14i) q^{70} +(-176.691 - 81.7458i) q^{71} +(-463.049 + 50.3596i) q^{72} +(161.071 - 54.2712i) q^{73} +(374.949 + 941.052i) q^{74} +(-696.715 - 659.964i) q^{75} +(44.8506 + 161.537i) q^{76} +(417.640 + 787.753i) q^{77} +(-797.363 + 606.139i) q^{78} +(-18.4629 - 340.527i) q^{79} +(-2389.07 - 804.972i) q^{80} +(79.1063 + 17.4126i) q^{81} +(-172.364 + 325.114i) q^{82} +(152.484 + 930.110i) q^{83} +(-909.789 + 1071.09i) q^{84} +(-1521.67 - 1791.45i) q^{85} +(267.714 - 1632.99i) q^{86} +(506.050 + 384.689i) q^{87} +(1001.96 - 1477.78i) q^{88} +(-94.8294 + 139.863i) q^{89} +(772.437 + 587.191i) q^{90} +(-273.113 + 1665.91i) q^{91} +(342.980 + 403.787i) q^{92} +(258.686 - 304.549i) q^{93} +(153.688 + 937.455i) q^{94} +(91.3827 - 172.366i) q^{95} +(576.872 + 126.979i) q^{96} +(-640.021 - 215.648i) q^{97} +(89.9194 + 1658.47i) q^{98} +(-247.180 + 187.901i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.86839 4.23056i −1.01413 1.49573i −0.861703 0.507413i \(-0.830602\pi\)
−0.152426 0.988315i \(-0.548709\pi\)
\(3\) 0.162417 2.99560i 0.0312571 0.576504i
\(4\) −6.70886 + 16.8380i −0.838607 + 2.10475i
\(5\) 19.1429 8.85647i 1.71220 0.792147i 0.716697 0.697384i \(-0.245653\pi\)
0.995500 0.0947625i \(-0.0302092\pi\)
\(6\) −13.1389 + 7.90544i −0.893991 + 0.537897i
\(7\) −6.91419 + 24.9026i −0.373331 + 1.34462i 0.503574 + 0.863952i \(0.332018\pi\)
−0.876905 + 0.480664i \(0.840396\pi\)
\(8\) 50.5433 11.1254i 2.23372 0.491679i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) −92.3773 55.5815i −2.92123 1.75764i
\(11\) 25.0461 23.7249i 0.686517 0.650303i −0.262718 0.964873i \(-0.584619\pi\)
0.949234 + 0.314570i \(0.101860\pi\)
\(12\) 49.3502 + 22.8318i 1.18718 + 0.549248i
\(13\) 64.9362 7.06224i 1.38539 0.150670i 0.615143 0.788416i \(-0.289098\pi\)
0.770247 + 0.637746i \(0.220133\pi\)
\(14\) 125.185 42.1796i 2.38979 0.805213i
\(15\) −23.4213 58.7831i −0.403157 1.01185i
\(16\) −86.7736 82.1964i −1.35584 1.28432i
\(17\) −29.8127 107.375i −0.425331 1.53190i −0.797256 0.603642i \(-0.793716\pi\)
0.371925 0.928263i \(-0.378698\pi\)
\(18\) 21.5475 + 40.6430i 0.282156 + 0.532202i
\(19\) 7.36338 5.59749i 0.0889092 0.0675870i −0.559775 0.828644i \(-0.689113\pi\)
0.648685 + 0.761057i \(0.275319\pi\)
\(20\) 20.6976 + 381.745i 0.231406 + 4.26804i
\(21\) 73.4754 + 24.7567i 0.763507 + 0.257255i
\(22\) −172.212 37.9066i −1.66889 0.367351i
\(23\) 13.6913 25.8246i 0.124123 0.234121i −0.813661 0.581340i \(-0.802529\pi\)
0.937784 + 0.347218i \(0.112874\pi\)
\(24\) −25.1182 153.214i −0.213635 1.30312i
\(25\) 207.092 243.808i 1.65674 1.95046i
\(26\) −216.140 254.459i −1.63033 1.91937i
\(27\) −4.36811 + 26.6443i −0.0311350 + 0.189915i
\(28\) −372.924 283.489i −2.51700 1.91337i
\(29\) −118.909 + 175.378i −0.761410 + 1.12300i 0.227397 + 0.973802i \(0.426978\pi\)
−0.988808 + 0.149194i \(0.952332\pi\)
\(30\) −181.504 + 267.698i −1.10460 + 1.62916i
\(31\) 106.036 + 80.6063i 0.614342 + 0.467010i 0.865482 0.500940i \(-0.167012\pi\)
−0.251140 + 0.967951i \(0.580805\pi\)
\(32\) −31.8539 + 194.300i −0.175970 + 1.07337i
\(33\) −67.0025 78.8814i −0.353443 0.416106i
\(34\) −368.744 + 434.119i −1.85997 + 2.18973i
\(35\) 88.1917 + 537.945i 0.425917 + 2.59798i
\(36\) 76.4103 144.125i 0.353752 0.667246i
\(37\) −193.555 42.6046i −0.860006 0.189302i −0.236991 0.971512i \(-0.576161\pi\)
−0.623015 + 0.782210i \(0.714092\pi\)
\(38\) −44.8016 15.0954i −0.191257 0.0644421i
\(39\) −10.6089 195.670i −0.0435586 0.803392i
\(40\) 869.016 660.609i 3.43509 2.61128i
\(41\) −33.7223 63.6069i −0.128452 0.242286i 0.810941 0.585127i \(-0.198956\pi\)
−0.939393 + 0.342841i \(0.888611\pi\)
\(42\) −106.021 381.854i −0.389510 1.40289i
\(43\) 235.042 + 222.643i 0.833570 + 0.789600i 0.979869 0.199641i \(-0.0639775\pi\)
−0.146299 + 0.989240i \(0.546736\pi\)
\(44\) 231.449 + 580.892i 0.793005 + 1.99029i
\(45\) −179.895 + 60.6135i −0.595935 + 0.200794i
\(46\) −148.524 + 16.1530i −0.476059 + 0.0517746i
\(47\) −168.679 78.0393i −0.523498 0.242196i 0.140298 0.990109i \(-0.455194\pi\)
−0.663796 + 0.747913i \(0.731056\pi\)
\(48\) −260.321 + 246.589i −0.782793 + 0.741501i
\(49\) −278.434 167.528i −0.811760 0.488420i
\(50\) −1625.46 176.780i −4.59750 0.500009i
\(51\) −326.496 + 71.8672i −0.896443 + 0.197322i
\(52\) −316.734 + 1140.77i −0.844676 + 3.04225i
\(53\) 593.811 357.284i 1.53899 0.925977i 0.542694 0.839930i \(-0.317404\pi\)
0.996291 0.0860467i \(-0.0274234\pi\)
\(54\) 125.250 57.9467i 0.315636 0.146029i
\(55\) 269.337 675.985i 0.660316 1.65727i
\(56\) −72.4133 + 1335.59i −0.172797 + 3.18705i
\(57\) −15.5719 22.9669i −0.0361851 0.0533690i
\(58\) 1083.03 2.45187
\(59\) −362.103 272.507i −0.799014 0.601312i
\(60\) 1146.92 2.46777
\(61\) −193.835 285.885i −0.406853 0.600063i 0.567969 0.823050i \(-0.307729\pi\)
−0.974821 + 0.222987i \(0.928419\pi\)
\(62\) 36.8577 679.801i 0.0754990 1.39250i
\(63\) 86.0949 216.082i 0.172174 0.432123i
\(64\) 45.5537 21.0754i 0.0889721 0.0411629i
\(65\) 1180.52 710.298i 2.25271 1.35541i
\(66\) −141.523 + 509.721i −0.263944 + 0.950640i
\(67\) 39.9562 8.79503i 0.0728572 0.0160371i −0.178392 0.983959i \(-0.557090\pi\)
0.251249 + 0.967922i \(0.419159\pi\)
\(68\) 2007.99 + 218.382i 3.58096 + 0.389452i
\(69\) −75.1364 45.2081i −0.131092 0.0788755i
\(70\) 2022.84 1916.14i 3.45394 3.27175i
\(71\) −176.691 81.7458i −0.295343 0.136640i 0.266622 0.963801i \(-0.414092\pi\)
−0.561965 + 0.827161i \(0.689954\pi\)
\(72\) −463.049 + 50.3596i −0.757928 + 0.0824297i
\(73\) 161.071 54.2712i 0.258246 0.0870132i −0.187201 0.982322i \(-0.559941\pi\)
0.445447 + 0.895308i \(0.353045\pi\)
\(74\) 374.949 + 941.052i 0.589013 + 1.47831i
\(75\) −696.715 659.964i −1.07266 1.01608i
\(76\) 44.8506 + 161.537i 0.0676936 + 0.243810i
\(77\) 417.640 + 787.753i 0.618110 + 1.16588i
\(78\) −797.363 + 606.139i −1.15748 + 0.879895i
\(79\) −18.4629 340.527i −0.0262941 0.484966i −0.981791 0.189965i \(-0.939163\pi\)
0.955497 0.295001i \(-0.0953201\pi\)
\(80\) −2389.07 804.972i −3.33883 1.12498i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) −172.364 + 325.114i −0.232127 + 0.437839i
\(83\) 152.484 + 930.110i 0.201654 + 1.23003i 0.872565 + 0.488497i \(0.162455\pi\)
−0.670912 + 0.741537i \(0.734097\pi\)
\(84\) −909.789 + 1071.09i −1.18174 + 1.39125i
\(85\) −1521.67 1791.45i −1.94174 2.28600i
\(86\) 267.714 1632.99i 0.335679 2.04755i
\(87\) 506.050 + 384.689i 0.623612 + 0.474057i
\(88\) 1001.96 1477.78i 1.21375 1.79014i
\(89\) −94.8294 + 139.863i −0.112943 + 0.166578i −0.879959 0.475050i \(-0.842430\pi\)
0.767016 + 0.641627i \(0.221740\pi\)
\(90\) 772.437 + 587.191i 0.904689 + 0.687727i
\(91\) −273.113 + 1665.91i −0.314615 + 1.91907i
\(92\) 342.980 + 403.787i 0.388675 + 0.457584i
\(93\) 258.686 304.549i 0.288436 0.339573i
\(94\) 153.688 + 937.455i 0.168635 + 1.02863i
\(95\) 91.3827 172.366i 0.0986913 0.186151i
\(96\) 576.872 + 126.979i 0.613299 + 0.134997i
\(97\) −640.021 215.648i −0.669941 0.225729i −0.0362816 0.999342i \(-0.511551\pi\)
−0.633659 + 0.773612i \(0.718448\pi\)
\(98\) 89.9194 + 1658.47i 0.0926861 + 1.70949i
\(99\) −247.180 + 187.901i −0.250934 + 0.190755i
\(100\) 2715.87 + 5122.68i 2.71587 + 5.12268i
\(101\) −133.920 482.336i −0.131936 0.475190i 0.867829 0.496863i \(-0.165515\pi\)
−0.999765 + 0.0216725i \(0.993101\pi\)
\(102\) 1240.56 + 1175.12i 1.20425 + 1.14073i
\(103\) 352.289 + 884.179i 0.337010 + 0.845832i 0.995633 + 0.0933585i \(0.0297603\pi\)
−0.658622 + 0.752474i \(0.728860\pi\)
\(104\) 3203.52 1079.39i 3.02049 1.01772i
\(105\) 1625.79 176.816i 1.51106 0.164338i
\(106\) −3214.79 1487.32i −2.94574 1.36284i
\(107\) −61.4202 + 58.1803i −0.0554926 + 0.0525654i −0.714943 0.699182i \(-0.753548\pi\)
0.659451 + 0.751748i \(0.270789\pi\)
\(108\) −419.331 252.303i −0.373612 0.224795i
\(109\) 1213.60 + 131.987i 1.06644 + 0.115982i 0.624469 0.781050i \(-0.285315\pi\)
0.441967 + 0.897032i \(0.354281\pi\)
\(110\) −3632.36 + 799.542i −3.14847 + 0.693031i
\(111\) −159.063 + 572.893i −0.136014 + 0.489879i
\(112\) 2646.88 1592.57i 2.23309 1.34361i
\(113\) −1557.50 + 720.578i −1.29662 + 0.599879i −0.942151 0.335190i \(-0.891200\pi\)
−0.354466 + 0.935069i \(0.615337\pi\)
\(114\) −52.4963 + 131.756i −0.0431292 + 0.108246i
\(115\) 33.3777 615.615i 0.0270651 0.499186i
\(116\) −2155.27 3178.78i −1.72510 2.54433i
\(117\) −587.872 −0.464520
\(118\) −114.204 + 2313.56i −0.0890959 + 1.80492i
\(119\) 2880.06 2.21861
\(120\) −1837.78 2710.52i −1.39804 2.06196i
\(121\) −7.62391 + 140.615i −0.00572795 + 0.105646i
\(122\) −653.460 + 1640.06i −0.484930 + 1.21708i
\(123\) −196.018 + 90.6876i −0.143694 + 0.0664799i
\(124\) −2068.63 + 1244.65i −1.49813 + 0.901395i
\(125\) 1099.73 3960.85i 0.786900 2.83416i
\(126\) −1161.10 + 255.578i −0.820945 + 0.180704i
\(127\) 69.3306 + 7.54015i 0.0484417 + 0.00526835i 0.132308 0.991209i \(-0.457761\pi\)
−0.0838661 + 0.996477i \(0.526727\pi\)
\(128\) 1129.85 + 679.810i 0.780202 + 0.469432i
\(129\) 705.125 667.930i 0.481262 0.455876i
\(130\) −6391.16 2956.87i −4.31186 1.99488i
\(131\) 526.826 57.2957i 0.351366 0.0382134i 0.0692657 0.997598i \(-0.477934\pi\)
0.282100 + 0.959385i \(0.408969\pi\)
\(132\) 1777.71 598.981i 1.17220 0.394959i
\(133\) 88.4807 + 222.070i 0.0576861 + 0.144781i
\(134\) −151.818 143.810i −0.0978737 0.0927109i
\(135\) 152.356 + 548.737i 0.0971313 + 0.349835i
\(136\) −2701.43 5095.43i −1.70328 3.21272i
\(137\) 1205.42 916.335i 0.751721 0.571443i −0.157618 0.987500i \(-0.550381\pi\)
0.909339 + 0.416057i \(0.136588\pi\)
\(138\) 24.2651 + 447.543i 0.0149680 + 0.276068i
\(139\) −1032.32 347.829i −0.629930 0.212248i −0.0138155 0.999905i \(-0.504398\pi\)
−0.616115 + 0.787656i \(0.711294\pi\)
\(140\) −9649.57 2124.03i −5.82527 1.28224i
\(141\) −261.171 + 492.621i −0.155990 + 0.294228i
\(142\) 160.987 + 981.979i 0.0951392 + 0.580323i
\(143\) 1458.85 1717.49i 0.853112 1.00436i
\(144\) 696.402 + 819.868i 0.403010 + 0.474460i
\(145\) −723.044 + 4410.37i −0.414107 + 2.52594i
\(146\) −691.613 525.750i −0.392043 0.298023i
\(147\) −547.069 + 806.867i −0.306949 + 0.452716i
\(148\) 2015.91 2973.24i 1.11964 1.65134i
\(149\) −1175.38 893.500i −0.646247 0.491264i 0.229960 0.973200i \(-0.426141\pi\)
−0.876206 + 0.481936i \(0.839934\pi\)
\(150\) −793.564 + 4840.53i −0.431962 + 2.63485i
\(151\) 842.602 + 991.988i 0.454106 + 0.534615i 0.940802 0.338957i \(-0.110074\pi\)
−0.486696 + 0.873571i \(0.661798\pi\)
\(152\) 309.895 364.837i 0.165367 0.194685i
\(153\) 162.257 + 989.724i 0.0857366 + 0.522970i
\(154\) 2134.68 4026.43i 1.11700 2.10688i
\(155\) 2743.73 + 603.940i 1.42182 + 0.312965i
\(156\) 3365.86 + 1134.09i 1.72746 + 0.582050i
\(157\) −15.0300 277.213i −0.00764030 0.140917i −0.999865 0.0164546i \(-0.994762\pi\)
0.992224 0.124463i \(-0.0397207\pi\)
\(158\) −1387.66 + 1054.87i −0.698712 + 0.531147i
\(159\) −973.836 1836.85i −0.485725 0.916174i
\(160\) 1111.04 + 4001.59i 0.548970 + 1.97721i
\(161\) 548.436 + 519.506i 0.268465 + 0.254303i
\(162\) −153.243 384.610i −0.0743202 0.186530i
\(163\) −449.345 + 151.402i −0.215923 + 0.0727528i −0.425184 0.905107i \(-0.639791\pi\)
0.209261 + 0.977860i \(0.432894\pi\)
\(164\) 1297.25 141.084i 0.617672 0.0671759i
\(165\) −1981.24 916.617i −0.934782 0.432476i
\(166\) 3497.50 3313.01i 1.63529 1.54903i
\(167\) 1757.38 + 1057.38i 0.814315 + 0.489957i 0.860789 0.508963i \(-0.169971\pi\)
−0.0464740 + 0.998919i \(0.514798\pi\)
\(168\) 3989.12 + 433.843i 1.83195 + 0.199236i
\(169\) 2021.20 444.900i 0.919983 0.202503i
\(170\) −3214.08 + 11576.1i −1.45005 + 5.22262i
\(171\) −71.3287 + 42.9170i −0.0318985 + 0.0191927i
\(172\) −5325.72 + 2463.94i −2.36094 + 1.09229i
\(173\) −1032.58 + 2591.59i −0.453792 + 1.13893i 0.507071 + 0.861904i \(0.330728\pi\)
−0.960862 + 0.277026i \(0.910651\pi\)
\(174\) 175.901 3244.31i 0.0766383 1.41351i
\(175\) 4639.58 + 6842.87i 2.00411 + 2.95584i
\(176\) −4123.44 −1.76600
\(177\) −875.134 + 1040.46i −0.371633 + 0.441839i
\(178\) 863.706 0.363694
\(179\) −1049.66 1548.13i −0.438297 0.646440i 0.542821 0.839848i \(-0.317356\pi\)
−0.981118 + 0.193408i \(0.938046\pi\)
\(180\) 186.279 3435.71i 0.0771355 1.42268i
\(181\) 406.539 1020.34i 0.166949 0.419011i −0.821570 0.570108i \(-0.806901\pi\)
0.988519 + 0.151097i \(0.0482807\pi\)
\(182\) 7831.14 3623.07i 3.18946 1.47560i
\(183\) −887.879 + 534.219i −0.358655 + 0.215796i
\(184\) 404.695 1457.58i 0.162144 0.583990i
\(185\) −4082.54 + 898.634i −1.62245 + 0.357129i
\(186\) −2030.43 220.822i −0.800420 0.0870509i
\(187\) −3294.17 1982.03i −1.28820 0.775084i
\(188\) 2445.67 2316.66i 0.948770 0.898723i
\(189\) −633.312 293.001i −0.243739 0.112766i
\(190\) −991.326 + 107.813i −0.378518 + 0.0411663i
\(191\) −3314.94 + 1116.93i −1.25581 + 0.423133i −0.867058 0.498207i \(-0.833992\pi\)
−0.388756 + 0.921341i \(0.627095\pi\)
\(192\) −55.7347 139.884i −0.0209495 0.0525793i
\(193\) 662.574 + 627.623i 0.247114 + 0.234079i 0.801224 0.598364i \(-0.204183\pi\)
−0.554110 + 0.832444i \(0.686941\pi\)
\(194\) 923.517 + 3326.21i 0.341777 + 1.23097i
\(195\) −1936.03 3651.74i −0.710985 1.34106i
\(196\) 4688.81 3564.34i 1.70875 1.29896i
\(197\) 261.087 + 4815.47i 0.0944248 + 1.74156i 0.535893 + 0.844286i \(0.319975\pi\)
−0.441468 + 0.897277i \(0.645542\pi\)
\(198\) 1503.93 + 506.734i 0.539797 + 0.181879i
\(199\) 3795.30 + 835.410i 1.35197 + 0.297591i 0.831137 0.556068i \(-0.187690\pi\)
0.520833 + 0.853659i \(0.325621\pi\)
\(200\) 7754.65 14626.8i 2.74168 5.17137i
\(201\) −19.8568 121.121i −0.00696813 0.0425037i
\(202\) −1656.42 + 1950.08i −0.576955 + 0.679244i
\(203\) −3545.22 4173.75i −1.22574 1.44305i
\(204\) 980.318 5979.68i 0.336451 2.05226i
\(205\) −1208.88 918.964i −0.411861 0.313089i
\(206\) 2730.07 4026.55i 0.923363 1.36186i
\(207\) −147.629 + 217.736i −0.0495696 + 0.0731096i
\(208\) −6215.24 4724.70i −2.07187 1.57500i
\(209\) 51.6238 314.891i 0.0170856 0.104218i
\(210\) −5411.44 6370.84i −1.77821 2.09347i
\(211\) −1806.01 + 2126.19i −0.589244 + 0.693712i −0.973284 0.229605i \(-0.926257\pi\)
0.384040 + 0.923317i \(0.374533\pi\)
\(212\) 2032.15 + 12395.5i 0.658341 + 4.01570i
\(213\) −273.575 + 516.018i −0.0880051 + 0.165995i
\(214\) 422.312 + 92.9579i 0.134900 + 0.0296938i
\(215\) 6471.22 + 2180.41i 2.05272 + 0.691640i
\(216\) 75.6504 + 1395.29i 0.0238303 + 0.439525i
\(217\) −2740.46 + 2083.25i −0.857303 + 0.651705i
\(218\) −2922.69 5512.78i −0.908026 1.71272i
\(219\) −136.414 491.320i −0.0420914 0.151600i
\(220\) 9575.27 + 9070.18i 2.93438 + 2.77960i
\(221\) −2694.23 6762.01i −0.820062 2.05820i
\(222\) 2879.91 970.355i 0.870662 0.293360i
\(223\) 4714.14 512.694i 1.41562 0.153958i 0.631887 0.775060i \(-0.282281\pi\)
0.783729 + 0.621103i \(0.213315\pi\)
\(224\) −4618.34 2136.67i −1.37757 0.637333i
\(225\) −2090.15 + 1979.89i −0.619302 + 0.586634i
\(226\) 7515.98 + 4522.22i 2.21219 + 1.33103i
\(227\) 5616.22 + 610.800i 1.64212 + 0.178591i 0.882019 0.471213i \(-0.156184\pi\)
0.760101 + 0.649805i \(0.225149\pi\)
\(228\) 491.185 108.118i 0.142673 0.0314048i
\(229\) 482.122 1736.45i 0.139124 0.501081i −0.860845 0.508867i \(-0.830065\pi\)
0.999970 + 0.00778592i \(0.00247836\pi\)
\(230\) −2700.14 + 1624.62i −0.774094 + 0.465757i
\(231\) 2427.62 1123.14i 0.691454 0.319901i
\(232\) −4058.91 + 10187.1i −1.14862 + 2.88283i
\(233\) −175.263 + 3232.53i −0.0492783 + 0.908885i 0.864490 + 0.502650i \(0.167642\pi\)
−0.913768 + 0.406236i \(0.866841\pi\)
\(234\) 1686.25 + 2487.03i 0.471083 + 0.694795i
\(235\) −3920.17 −1.08819
\(236\) 7017.77 4268.87i 1.93567 1.17746i
\(237\) −1023.08 −0.280407
\(238\) −8261.15 12184.3i −2.24996 3.31844i
\(239\) 155.959 2876.49i 0.0422098 0.778514i −0.898432 0.439113i \(-0.855293\pi\)
0.940642 0.339401i \(-0.110224\pi\)
\(240\) −2799.40 + 7025.97i −0.752919 + 1.88968i
\(241\) −4897.69 + 2265.91i −1.30908 + 0.605645i −0.945410 0.325884i \(-0.894338\pi\)
−0.363669 + 0.931528i \(0.618476\pi\)
\(242\) 616.747 371.084i 0.163826 0.0985711i
\(243\) 65.0094 234.143i 0.0171620 0.0618118i
\(244\) 6114.13 1345.82i 1.60417 0.353104i
\(245\) −6813.75 741.040i −1.77679 0.193238i
\(246\) 945.915 + 569.138i 0.245160 + 0.147508i
\(247\) 438.619 415.482i 0.112991 0.107030i
\(248\) 6256.18 + 2894.42i 1.60189 + 0.741111i
\(249\) 2811.00 305.715i 0.715422 0.0778069i
\(250\) −19911.1 + 6708.82i −5.03715 + 1.69721i
\(251\) 1539.02 + 3862.65i 0.387020 + 0.971348i 0.985418 + 0.170149i \(0.0544248\pi\)
−0.598398 + 0.801199i \(0.704196\pi\)
\(252\) 3060.78 + 2899.33i 0.765124 + 0.724764i
\(253\) −269.772 971.630i −0.0670372 0.241446i
\(254\) −166.968 314.935i −0.0412461 0.0777984i
\(255\) −5613.61 + 4267.35i −1.37858 + 1.04797i
\(256\) −386.622 7130.82i −0.0943902 1.74092i
\(257\) 4786.87 + 1612.89i 1.16186 + 0.391475i 0.833198 0.552974i \(-0.186507\pi\)
0.328657 + 0.944449i \(0.393404\pi\)
\(258\) −4848.29 1067.19i −1.16993 0.257521i
\(259\) 2399.24 4525.45i 0.575605 1.08571i
\(260\) 4040.00 + 24642.9i 0.963655 + 5.87803i
\(261\) 1234.57 1453.44i 0.292788 0.344697i
\(262\) −1753.53 2064.42i −0.413487 0.486795i
\(263\) −928.711 + 5664.89i −0.217744 + 1.32818i 0.621066 + 0.783758i \(0.286700\pi\)
−0.838810 + 0.544424i \(0.816748\pi\)
\(264\) −4264.12 3241.50i −0.994084 0.755683i
\(265\) 8203.02 12098.5i 1.90154 2.80456i
\(266\) 685.682 1011.31i 0.158052 0.233109i
\(267\) 403.571 + 306.787i 0.0925025 + 0.0703186i
\(268\) −119.970 + 731.786i −0.0273446 + 0.166795i
\(269\) 3805.61 + 4480.31i 0.862573 + 1.01550i 0.999689 + 0.0249445i \(0.00794091\pi\)
−0.137116 + 0.990555i \(0.543783\pi\)
\(270\) 1884.45 2218.54i 0.424755 0.500060i
\(271\) −47.1982 287.896i −0.0105796 0.0645330i 0.981009 0.193962i \(-0.0621338\pi\)
−0.991589 + 0.129429i \(0.958686\pi\)
\(272\) −6238.92 + 11767.9i −1.39077 + 2.62327i
\(273\) 4946.05 + 1088.71i 1.09652 + 0.241361i
\(274\) −7334.22 2471.18i −1.61707 0.544853i
\(275\) −597.469 11019.7i −0.131014 2.41640i
\(276\) 1265.29 961.849i 0.275948 0.209770i
\(277\) 2103.17 + 3967.00i 0.456199 + 0.860483i 0.999777 + 0.0211242i \(0.00672453\pi\)
−0.543578 + 0.839359i \(0.682931\pi\)
\(278\) 1489.59 + 5365.00i 0.321365 + 1.15745i
\(279\) −870.292 824.385i −0.186749 0.176898i
\(280\) 10442.4 + 26208.4i 2.22875 + 5.59375i
\(281\) 394.631 132.967i 0.0837784 0.0282282i −0.277100 0.960841i \(-0.589373\pi\)
0.360879 + 0.932613i \(0.382477\pi\)
\(282\) 2833.20 308.129i 0.598279 0.0650668i
\(283\) −800.247 370.234i −0.168091 0.0777671i 0.334039 0.942559i \(-0.391588\pi\)
−0.502130 + 0.864792i \(0.667450\pi\)
\(284\) 2561.83 2426.69i 0.535269 0.507034i
\(285\) −501.498 301.741i −0.104232 0.0627144i
\(286\) −11450.5 1245.31i −2.36742 0.257472i
\(287\) 1817.14 399.983i 0.373737 0.0822658i
\(288\) 474.072 1707.45i 0.0969965 0.349350i
\(289\) −6430.96 + 3869.38i −1.30897 + 0.787580i
\(290\) 20732.3 9591.78i 4.19808 1.94224i
\(291\) −749.946 + 1882.22i −0.151074 + 0.379168i
\(292\) −166.787 + 3076.21i −0.0334263 + 0.616512i
\(293\) −750.667 1107.15i −0.149674 0.220752i 0.745459 0.666551i \(-0.232230\pi\)
−0.895133 + 0.445799i \(0.852920\pi\)
\(294\) 4982.71 0.988426
\(295\) −9345.18 2009.63i −1.84440 0.396628i
\(296\) −10256.9 −2.01409
\(297\) 522.730 + 770.969i 0.102128 + 0.150627i
\(298\) −408.558 + 7535.41i −0.0794199 + 1.46481i
\(299\) 706.683 1773.64i 0.136684 0.343051i
\(300\) 15786.6 7303.66i 3.03813 1.40559i
\(301\) −7169.53 + 4313.76i −1.37291 + 0.826050i
\(302\) 1779.75 6410.08i 0.339116 1.22139i
\(303\) −1466.64 + 322.831i −0.278073 + 0.0612084i
\(304\) −1099.04 119.528i −0.207350 0.0225506i
\(305\) −6242.50 3755.99i −1.17195 0.705139i
\(306\) 3721.67 3525.35i 0.695273 0.658598i
\(307\) 2715.37 + 1256.26i 0.504803 + 0.233547i 0.655726 0.754999i \(-0.272363\pi\)
−0.150923 + 0.988545i \(0.548225\pi\)
\(308\) −16066.0 + 1747.29i −2.97223 + 0.323250i
\(309\) 2705.86 911.712i 0.498159 0.167849i
\(310\) −5315.07 13339.8i −0.973793 2.44404i
\(311\) −4372.00 4141.38i −0.797149 0.755100i 0.176218 0.984351i \(-0.443614\pi\)
−0.973367 + 0.229251i \(0.926372\pi\)
\(312\) −2713.12 9771.78i −0.492308 1.77313i
\(313\) 1392.92 + 2627.32i 0.251541 + 0.474456i 0.976838 0.213980i \(-0.0686426\pi\)
−0.725298 + 0.688436i \(0.758298\pi\)
\(314\) −1129.65 + 858.740i −0.203025 + 0.154336i
\(315\) −265.613 4898.94i −0.0475098 0.876267i
\(316\) 5857.65 + 1973.67i 1.04278 + 0.351354i
\(317\) −3801.19 836.704i −0.673489 0.148246i −0.134957 0.990851i \(-0.543090\pi\)
−0.538532 + 0.842605i \(0.681021\pi\)
\(318\) −4977.56 + 9388.67i −0.877760 + 1.65563i
\(319\) 1182.62 + 7213.65i 0.207567 + 1.26610i
\(320\) 685.379 806.890i 0.119731 0.140958i
\(321\) 164.309 + 193.440i 0.0285696 + 0.0336347i
\(322\) 624.673 3810.33i 0.108111 0.659446i
\(323\) −820.556 623.770i −0.141353 0.107454i
\(324\) −823.906 + 1215.17i −0.141273 + 0.208362i
\(325\) 11725.9 17294.5i 2.00135 2.95177i
\(326\) 1929.41 + 1466.70i 0.327792 + 0.249181i
\(327\) 592.487 3614.01i 0.100198 0.611179i
\(328\) −2412.09 2839.73i −0.406053 0.478042i
\(329\) 3109.67 3660.98i 0.521099 0.613485i
\(330\) 1805.15 + 11010.9i 0.301123 + 1.83677i
\(331\) −640.420 + 1207.96i −0.106346 + 0.200591i −0.930974 0.365085i \(-0.881040\pi\)
0.824628 + 0.565676i \(0.191385\pi\)
\(332\) −16684.2 3672.46i −2.75802 0.607086i
\(333\) 1690.32 + 569.537i 0.278166 + 0.0937250i
\(334\) −567.543 10467.7i −0.0929777 1.71487i
\(335\) 686.987 522.234i 0.112042 0.0851722i
\(336\) −4340.81 8187.64i −0.704794 1.32938i
\(337\) 789.188 + 2842.40i 0.127566 + 0.459452i 0.999547 0.0300877i \(-0.00957867\pi\)
−0.871981 + 0.489540i \(0.837165\pi\)
\(338\) −7679.77 7274.66i −1.23587 1.17068i
\(339\) 1905.60 + 4782.70i 0.305304 + 0.766255i
\(340\) 40373.0 13603.3i 6.43981 2.16982i
\(341\) 4568.16 496.818i 0.725454 0.0788979i
\(342\) 386.162 + 178.657i 0.0610562 + 0.0282476i
\(343\) −338.716 + 320.849i −0.0533206 + 0.0505079i
\(344\) 14356.8 + 8638.19i 2.25019 + 1.35390i
\(345\) −1838.72 199.972i −0.286937 0.0312062i
\(346\) 13925.7 3065.29i 2.16373 0.476274i
\(347\) −1380.41 + 4971.78i −0.213557 + 0.769162i 0.776695 + 0.629876i \(0.216894\pi\)
−0.990252 + 0.139286i \(0.955519\pi\)
\(348\) −9872.40 + 5940.03i −1.52074 + 0.914997i
\(349\) −4660.27 + 2156.07i −0.714781 + 0.330693i −0.743353 0.668899i \(-0.766766\pi\)
0.0285726 + 0.999592i \(0.490904\pi\)
\(350\) 15641.0 39256.1i 2.38871 5.99521i
\(351\) −95.4803 + 1761.03i −0.0145195 + 0.267797i
\(352\) 3811.94 + 5622.19i 0.577208 + 0.851318i
\(353\) −8399.47 −1.26645 −0.633227 0.773966i \(-0.718270\pi\)
−0.633227 + 0.773966i \(0.718270\pi\)
\(354\) 6911.94 + 717.869i 1.03776 + 0.107781i
\(355\) −4106.36 −0.613924
\(356\) −1718.81 2535.05i −0.255890 0.377409i
\(357\) 467.771 8627.52i 0.0693475 1.27904i
\(358\) −3538.63 + 8881.29i −0.522409 + 1.31115i
\(359\) −2398.90 + 1109.85i −0.352672 + 0.163164i −0.588224 0.808698i \(-0.700173\pi\)
0.235551 + 0.971862i \(0.424310\pi\)
\(360\) −8418.11 + 5065.01i −1.23243 + 0.741526i
\(361\) −1812.09 + 6526.56i −0.264191 + 0.951532i
\(362\) −5482.70 + 1206.83i −0.796034 + 0.175220i
\(363\) 419.987 + 45.6763i 0.0607262 + 0.00660437i
\(364\) −26218.3 15775.0i −3.77531 2.27153i
\(365\) 2602.73 2465.43i 0.373241 0.353553i
\(366\) 4806.83 + 2223.88i 0.686495 + 0.317606i
\(367\) −4536.55 + 493.380i −0.645249 + 0.0701750i −0.424892 0.905244i \(-0.639688\pi\)
−0.220357 + 0.975419i \(0.570722\pi\)
\(368\) −3310.73 + 1115.51i −0.468978 + 0.158017i
\(369\) 239.827 + 601.921i 0.0338344 + 0.0849180i
\(370\) 15512.0 + 14693.8i 2.17955 + 2.06458i
\(371\) 4791.60 + 17257.8i 0.670533 + 2.41504i
\(372\) 3392.50 + 6398.93i 0.472830 + 0.891852i
\(373\) 7202.73 5475.37i 0.999848 0.760065i 0.0289556 0.999581i \(-0.490782\pi\)
0.970892 + 0.239516i \(0.0769887\pi\)
\(374\) 1063.84 + 19621.4i 0.147085 + 2.71283i
\(375\) −11686.5 3937.65i −1.60930 0.542238i
\(376\) −9393.83 2067.74i −1.28843 0.283605i
\(377\) −6482.96 + 12228.2i −0.885648 + 1.67051i
\(378\) 577.026 + 3519.71i 0.0785160 + 0.478926i
\(379\) −6022.52 + 7090.26i −0.816243 + 0.960956i −0.999757 0.0220615i \(-0.992977\pi\)
0.183513 + 0.983017i \(0.441253\pi\)
\(380\) 2289.22 + 2695.08i 0.309038 + 0.363828i
\(381\) 33.8477 206.462i 0.00455137 0.0277621i
\(382\) 14233.8 + 10820.2i 1.90645 + 1.44925i
\(383\) 3407.43 5025.58i 0.454599 0.670483i −0.529458 0.848336i \(-0.677605\pi\)
0.984057 + 0.177853i \(0.0569151\pi\)
\(384\) 2219.95 3274.18i 0.295016 0.435116i
\(385\) 14971.6 + 11381.1i 1.98187 + 1.50658i
\(386\) 754.677 4603.32i 0.0995130 0.607003i
\(387\) −1886.33 2220.76i −0.247771 0.291699i
\(388\) 7924.88 9329.90i 1.03692 1.22076i
\(389\) −2015.24 12292.4i −0.262665 1.60219i −0.707594 0.706619i \(-0.750219\pi\)
0.444929 0.895566i \(-0.353229\pi\)
\(390\) −9895.62 + 18665.1i −1.28483 + 2.42345i
\(391\) −3181.10 700.213i −0.411445 0.0905660i
\(392\) −15936.8 5369.73i −2.05339 0.691868i
\(393\) −86.0698 1587.46i −0.0110475 0.203758i
\(394\) 19623.2 14917.2i 2.50915 1.90740i
\(395\) −3369.30 6355.18i −0.429185 0.809529i
\(396\) −1505.58 5422.60i −0.191056 0.688121i
\(397\) −3030.49 2870.63i −0.383113 0.362904i 0.471773 0.881720i \(-0.343614\pi\)
−0.854886 + 0.518817i \(0.826373\pi\)
\(398\) −7352.16 18452.5i −0.925956 2.32398i
\(399\) 679.603 228.985i 0.0852699 0.0287308i
\(400\) −38010.2 + 4133.86i −4.75128 + 0.516733i
\(401\) −6257.55 2895.05i −0.779270 0.360529i −0.0104101 0.999946i \(-0.503314\pi\)
−0.768860 + 0.639417i \(0.779176\pi\)
\(402\) −455.454 + 431.429i −0.0565074 + 0.0535266i
\(403\) 7454.83 + 4485.42i 0.921467 + 0.554428i
\(404\) 9020.00 + 980.984i 1.11080 + 0.120806i
\(405\) 1668.54 367.274i 0.204717 0.0450617i
\(406\) −7488.24 + 26970.2i −0.915357 + 3.29682i
\(407\) −5858.58 + 3524.99i −0.713512 + 0.429306i
\(408\) −15702.6 + 7264.81i −1.90538 + 0.881524i
\(409\) 4482.66 11250.6i 0.541940 1.36017i −0.361869 0.932229i \(-0.617861\pi\)
0.903809 0.427937i \(-0.140759\pi\)
\(410\) −420.202 + 7750.17i −0.0506154 + 0.933545i
\(411\) −2549.19 3759.78i −0.305943 0.451232i
\(412\) −17251.2 −2.06288
\(413\) 9289.80 7133.17i 1.10683 0.849879i
\(414\) 1344.60 0.159622
\(415\) 11156.5 + 16454.6i 1.31964 + 1.94632i
\(416\) −696.277 + 12842.1i −0.0820620 + 1.51354i
\(417\) −1209.62 + 3035.93i −0.142052 + 0.356523i
\(418\) −1480.24 + 684.833i −0.173208 + 0.0801346i
\(419\) −13237.7 + 7964.83i −1.54344 + 0.928657i −0.547679 + 0.836689i \(0.684488\pi\)
−0.995762 + 0.0919686i \(0.970684\pi\)
\(420\) −7930.00 + 28561.3i −0.921296 + 3.31821i
\(421\) −8396.73 + 1848.26i −0.972047 + 0.213964i −0.672483 0.740113i \(-0.734772\pi\)
−0.299564 + 0.954076i \(0.596841\pi\)
\(422\) 14175.3 + 1541.66i 1.63517 + 0.177836i
\(423\) 1433.28 + 862.374i 0.164748 + 0.0991254i
\(424\) 26038.2 24664.7i 2.98238 2.82506i
\(425\) −32352.9 14968.1i −3.69258 1.70837i
\(426\) 2967.76 322.764i 0.337532 0.0367088i
\(427\) 8459.51 2850.34i 0.958745 0.323039i
\(428\) −567.578 1424.51i −0.0641003 0.160880i
\(429\) −4907.97 4649.07i −0.552352 0.523215i
\(430\) −9337.64 33631.2i −1.04721 3.77172i
\(431\) 2281.88 + 4304.09i 0.255022 + 0.481022i 0.977657 0.210208i \(-0.0674140\pi\)
−0.722635 + 0.691230i \(0.757069\pi\)
\(432\) 2569.10 1952.98i 0.286125 0.217507i
\(433\) −732.172 13504.1i −0.0812608 1.49877i −0.700550 0.713604i \(-0.747062\pi\)
0.619289 0.785163i \(-0.287421\pi\)
\(434\) 16674.0 + 5618.13i 1.84419 + 0.621379i
\(435\) 13094.3 + 2882.27i 1.44327 + 0.317688i
\(436\) −10364.2 + 19549.0i −1.13843 + 2.14731i
\(437\) −43.7385 266.793i −0.00478786 0.0292047i
\(438\) −1687.27 + 1986.40i −0.184066 + 0.216699i
\(439\) −5024.60 5915.41i −0.546266 0.643114i 0.417875 0.908505i \(-0.362775\pi\)
−0.964141 + 0.265390i \(0.914499\pi\)
\(440\) 6092.56 37163.0i 0.660117 4.02654i
\(441\) 2328.20 + 1769.85i 0.251398 + 0.191108i
\(442\) −20879.0 + 30794.2i −2.24686 + 3.31387i
\(443\) −9150.47 + 13495.9i −0.981381 + 1.44743i −0.0890612 + 0.996026i \(0.528387\pi\)
−0.892320 + 0.451403i \(0.850924\pi\)
\(444\) −8579.22 6521.76i −0.917009 0.697092i
\(445\) −576.622 + 3517.24i −0.0614259 + 0.374681i
\(446\) −15691.0 18472.9i −1.66590 1.96124i
\(447\) −2867.47 + 3375.85i −0.303415 + 0.357208i
\(448\) 209.866 + 1280.13i 0.0221322 + 0.135001i
\(449\) 7927.13 14952.2i 0.833195 1.57157i 0.0126988 0.999919i \(-0.495958\pi\)
0.820496 0.571652i \(-0.193697\pi\)
\(450\) 14371.4 + 3163.38i 1.50550 + 0.331385i
\(451\) −2353.68 793.047i −0.245744 0.0828008i
\(452\) −1684.00 31059.5i −0.175240 3.23211i
\(453\) 3108.45 2362.98i 0.322401 0.245083i
\(454\) −13525.5 25511.7i −1.39820 2.63728i
\(455\) 9525.93 + 34309.3i 0.981500 + 3.53504i
\(456\) −1042.57 987.577i −0.107068 0.101420i
\(457\) 4897.07 + 12290.7i 0.501259 + 1.25807i 0.934234 + 0.356660i \(0.116084\pi\)
−0.432975 + 0.901406i \(0.642536\pi\)
\(458\) −8729.05 + 2941.16i −0.890571 + 0.300068i
\(459\) 2991.17 325.309i 0.304174 0.0330809i
\(460\) 10141.8 + 4692.09i 1.02796 + 0.475586i
\(461\) 3599.39 3409.53i 0.363645 0.344463i −0.483960 0.875090i \(-0.660802\pi\)
0.847606 + 0.530627i \(0.178043\pi\)
\(462\) −11714.9 7048.60i −1.17971 0.709807i
\(463\) 14334.7 + 1558.99i 1.43886 + 0.156485i 0.794046 0.607858i \(-0.207971\pi\)
0.644810 + 0.764343i \(0.276937\pi\)
\(464\) 24733.6 5444.28i 2.47463 0.544708i
\(465\) 2254.79 8121.01i 0.224867 0.809899i
\(466\) 14178.1 8530.71i 1.40942 0.848020i
\(467\) 1761.10 814.772i 0.174505 0.0807348i −0.330692 0.943739i \(-0.607282\pi\)
0.505197 + 0.863004i \(0.331420\pi\)
\(468\) 3943.95 9898.57i 0.389550 0.977696i
\(469\) −57.2452 + 1055.83i −0.00563612 + 0.103952i
\(470\) 11244.6 + 16584.5i 1.10356 + 1.62763i
\(471\) −832.860 −0.0814780
\(472\) −21333.7 9744.86i −2.08043 0.950304i
\(473\) 11169.1 1.08574
\(474\) 2934.60 + 4328.21i 0.284368 + 0.419412i
\(475\) 160.185 2954.44i 0.0154733 0.285388i
\(476\) −19321.9 + 48494.4i −1.86055 + 4.66962i
\(477\) −5660.64 + 2618.89i −0.543360 + 0.251385i
\(478\) −12616.5 + 7591.11i −1.20725 + 0.726379i
\(479\) −1305.81 + 4703.09i −0.124559 + 0.448621i −0.999357 0.0358676i \(-0.988581\pi\)
0.874798 + 0.484489i \(0.160994\pi\)
\(480\) 12167.6 2678.30i 1.15703 0.254681i
\(481\) −12869.6 1399.65i −1.21997 0.132679i
\(482\) 23634.6 + 14220.4i 2.23345 + 1.34383i
\(483\) 1645.31 1558.52i 0.154998 0.146822i
\(484\) −2316.52 1071.73i −0.217554 0.100651i
\(485\) −14161.8 + 1540.18i −1.32588 + 0.144198i
\(486\) −1177.03 + 396.586i −0.109858 + 0.0370155i
\(487\) −4265.44 10705.5i −0.396890 0.996120i −0.982623 0.185615i \(-0.940572\pi\)
0.585732 0.810505i \(-0.300807\pi\)
\(488\) −12977.6 12293.1i −1.20383 1.14033i
\(489\) 380.558 + 1370.65i 0.0351931 + 0.126754i
\(490\) 16409.5 + 30951.6i 1.51287 + 2.85357i
\(491\) −7110.26 + 5405.08i −0.653526 + 0.496798i −0.878609 0.477542i \(-0.841528\pi\)
0.225083 + 0.974340i \(0.427735\pi\)
\(492\) −211.937 3908.96i −0.0194205 0.358190i
\(493\) 22376.3 + 7539.46i 2.04418 + 0.688763i
\(494\) −3015.85 663.839i −0.274675 0.0604606i
\(495\) −3067.60 + 5786.12i −0.278543 + 0.525387i
\(496\) −2575.57 15710.3i −0.233158 1.42220i
\(497\) 3257.36 3834.86i 0.293989 0.346111i
\(498\) −9356.40 11015.2i −0.841909 0.991171i
\(499\) −3573.67 + 21798.4i −0.320600 + 1.95557i −0.0270387 + 0.999634i \(0.508608\pi\)
−0.293561 + 0.955940i \(0.594841\pi\)
\(500\) 59314.8 + 45090.0i 5.30528 + 4.03297i
\(501\) 3452.93 5092.69i 0.307915 0.454141i
\(502\) 11926.7 17590.5i 1.06038 1.56395i
\(503\) 10836.9 + 8237.99i 0.960622 + 0.730246i 0.962930 0.269751i \(-0.0869415\pi\)
−0.00230780 + 0.999997i \(0.500735\pi\)
\(504\) 1947.52 11879.3i 0.172122 1.04990i
\(505\) −6835.41 8047.27i −0.602321 0.709107i
\(506\) −3336.73 + 3928.30i −0.293153 + 0.345127i
\(507\) −1004.47 6126.97i −0.0879880 0.536703i
\(508\) −592.090 + 1116.80i −0.0517121 + 0.0975394i
\(509\) 1267.20 + 278.932i 0.110349 + 0.0242897i 0.269802 0.962916i \(-0.413042\pi\)
−0.159453 + 0.987206i \(0.550973\pi\)
\(510\) 34155.3 + 11508.3i 2.96553 + 0.999205i
\(511\) 237.820 + 4386.34i 0.0205882 + 0.379727i
\(512\) −20660.5 + 15705.7i −1.78335 + 1.35567i
\(513\) 116.977 + 220.643i 0.0100676 + 0.0189895i
\(514\) −6907.21 24877.5i −0.592732 2.13483i
\(515\) 14574.6 + 13805.8i 1.24705 + 1.18127i
\(516\) 6516.00 + 16353.9i 0.555912 + 1.39523i
\(517\) −6076.23 + 2047.32i −0.516891 + 0.174161i
\(518\) −26027.1 + 2830.62i −2.20766 + 0.240097i
\(519\) 7595.66 + 3514.13i 0.642413 + 0.297212i
\(520\) 51765.2 49034.6i 4.36549 4.13521i
\(521\) 8508.44 + 5119.36i 0.715474 + 0.430486i 0.826209 0.563364i \(-0.190493\pi\)
−0.110735 + 0.993850i \(0.535321\pi\)
\(522\) −9690.09 1053.86i −0.812498 0.0883644i
\(523\) 4837.54 1064.82i 0.404457 0.0890277i −0.00808286 0.999967i \(-0.502573\pi\)
0.412540 + 0.910940i \(0.364642\pi\)
\(524\) −2569.66 + 9255.06i −0.214229 + 0.771583i
\(525\) 21252.1 12786.9i 1.76670 1.06299i
\(526\) 26629.5 12320.1i 2.20742 1.02126i
\(527\) 5493.93 13788.7i 0.454117 1.13975i
\(528\) −669.716 + 12352.2i −0.0552001 + 1.01811i
\(529\) 6348.51 + 9363.35i 0.521781 + 0.769569i
\(530\) −74713.1 −6.12326
\(531\) 2974.66 + 2790.54i 0.243106 + 0.228059i
\(532\) −4332.81 −0.353103
\(533\) −2639.00 3892.24i −0.214461 0.316307i
\(534\) 140.280 2587.32i 0.0113680 0.209671i
\(535\) −660.491 + 1657.71i −0.0533748 + 0.133961i
\(536\) 1921.67 889.060i 0.154857 0.0716447i
\(537\) −4808.06 + 2892.92i −0.386375 + 0.232474i
\(538\) 8038.24 28951.1i 0.644151 2.32002i
\(539\) −10948.3 + 2409.90i −0.874908 + 0.192582i
\(540\) −10261.7 1116.03i −0.817769 0.0889377i
\(541\) 6005.70 + 3613.51i 0.477274 + 0.287166i 0.733793 0.679373i \(-0.237748\pi\)
−0.256519 + 0.966539i \(0.582576\pi\)
\(542\) −1082.58 + 1025.47i −0.0857947 + 0.0812691i
\(543\) −2990.49 1383.55i −0.236343 0.109344i
\(544\) 21812.7 2372.28i 1.71914 0.186968i
\(545\) 24400.7 8221.57i 1.91782 0.646190i
\(546\) −9581.36 24047.4i −0.750997 1.88486i
\(547\) −11102.2 10516.6i −0.867820 0.822043i 0.117445 0.993079i \(-0.462530\pi\)
−0.985265 + 0.171037i \(0.945288\pi\)
\(548\) 7342.24 + 26444.3i 0.572344 + 2.06140i
\(549\) 1456.10 + 2746.50i 0.113197 + 0.213511i
\(550\) −44905.6 + 34136.3i −3.48142 + 2.64651i
\(551\) 106.104 + 1956.97i 0.00820358 + 0.151306i
\(552\) −4300.60 1449.04i −0.331604 0.111731i
\(553\) 8607.69 + 1894.70i 0.661910 + 0.145697i
\(554\) 10749.9 20276.5i 0.824404 1.55499i
\(555\) 2028.88 + 12375.6i 0.155173 + 0.946513i
\(556\) 12782.4 15048.6i 0.974993 1.14785i
\(557\) −5986.06 7047.34i −0.455364 0.536096i 0.485789 0.874076i \(-0.338532\pi\)
−0.941153 + 0.337980i \(0.890256\pi\)
\(558\) −991.270 + 6046.48i −0.0752039 + 0.458724i
\(559\) 16835.1 + 12797.7i 1.27379 + 0.968309i
\(560\) 36564.4 53928.5i 2.75916 4.06946i
\(561\) −6472.41 + 9546.09i −0.487104 + 0.718424i
\(562\) −1694.48 1288.11i −0.127184 0.0966827i
\(563\) 2099.58 12806.9i 0.157170 0.958694i −0.784000 0.620761i \(-0.786824\pi\)
0.941170 0.337933i \(-0.109728\pi\)
\(564\) −6542.57 7702.51i −0.488461 0.575061i
\(565\) −23433.5 + 27588.0i −1.74487 + 2.05422i
\(566\) 729.125 + 4447.46i 0.0541474 + 0.330284i
\(567\) −980.575 + 1849.56i −0.0726284 + 0.136992i
\(568\) −9839.99 2165.95i −0.726896 0.160002i
\(569\) −4542.35 1530.50i −0.334667 0.112762i 0.146951 0.989144i \(-0.453054\pi\)
−0.481618 + 0.876381i \(0.659951\pi\)
\(570\) 161.957 + 2987.13i 0.0119011 + 0.219504i
\(571\) −4508.44 + 3427.23i −0.330424 + 0.251182i −0.757211 0.653170i \(-0.773439\pi\)
0.426787 + 0.904352i \(0.359645\pi\)
\(572\) 19131.8 + 36086.4i 1.39850 + 2.63785i
\(573\) 2807.48 + 10111.6i 0.204685 + 0.737207i
\(574\) −6904.43 6540.22i −0.502065 0.475581i
\(575\) −3460.86 8686.11i −0.251005 0.629975i
\(576\) −428.088 + 144.240i −0.0309670 + 0.0104340i
\(577\) −13320.1 + 1448.65i −0.961047 + 0.104520i −0.575174 0.818031i \(-0.695065\pi\)
−0.385874 + 0.922552i \(0.626100\pi\)
\(578\) 34816.1 + 16107.7i 2.50547 + 1.15915i
\(579\) 1987.72 1882.87i 0.142672 0.135146i
\(580\) −69410.9 41763.1i −4.96919 2.98986i
\(581\) −24216.5 2633.70i −1.72921 0.188063i
\(582\) 10114.0 2226.26i 0.720340 0.158559i
\(583\) 6396.11 23036.7i 0.454373 1.63651i
\(584\) 7537.28 4535.03i 0.534067 0.321337i
\(585\) −11253.6 + 5206.47i −0.795349 + 0.367968i
\(586\) −2530.66 + 6351.48i −0.178397 + 0.447743i
\(587\) 1319.35 24333.9i 0.0927688 1.71102i −0.468564 0.883430i \(-0.655228\pi\)
0.561332 0.827590i \(-0.310289\pi\)
\(588\) −9915.79 14624.7i −0.695443 1.02570i
\(589\) 1231.98 0.0861845
\(590\) 18303.7 + 45299.7i 1.27721 + 3.16095i
\(591\) 14467.6 1.00697
\(592\) 13293.5 + 19606.5i 0.922905 + 1.36118i
\(593\) 42.3682 781.435i 0.00293399 0.0541142i −0.996700 0.0811761i \(-0.974132\pi\)
0.999634 + 0.0270619i \(0.00861513\pi\)
\(594\) 1762.24 4422.88i 0.121726 0.305510i
\(595\) 55132.9 25507.2i 3.79870 1.75747i
\(596\) 22930.2 13796.6i 1.57593 0.948208i
\(597\) 3118.97 11233.5i 0.213821 0.770114i
\(598\) −9530.53 + 2097.83i −0.651727 + 0.143456i
\(599\) −9787.21 1064.42i −0.667603 0.0726062i −0.231960 0.972725i \(-0.574514\pi\)
−0.435644 + 0.900119i \(0.643479\pi\)
\(600\) −42556.7 25605.5i −2.89561 1.74223i
\(601\) 9633.39 9125.23i 0.653834 0.619345i −0.287114 0.957897i \(-0.592696\pi\)
0.940948 + 0.338552i \(0.109937\pi\)
\(602\) 38814.6 + 17957.6i 2.62785 + 1.21577i
\(603\) −366.056 + 39.8110i −0.0247213 + 0.00268861i
\(604\) −22356.0 + 7532.60i −1.50604 + 0.507445i
\(605\) 1099.41 + 2759.30i 0.0738797 + 0.185424i
\(606\) 5572.64 + 5278.68i 0.373553 + 0.353848i
\(607\) 2016.79 + 7263.83i 0.134859 + 0.485716i 0.999871 0.0160331i \(-0.00510370\pi\)
−0.865013 + 0.501750i \(0.832690\pi\)
\(608\) 853.042 + 1609.01i 0.0569004 + 0.107325i
\(609\) −13078.7 + 9942.17i −0.870239 + 0.661539i
\(610\) 2016.00 + 37182.9i 0.133812 + 2.46802i
\(611\) −11504.5 3876.33i −0.761740 0.256660i
\(612\) −17753.5 3907.84i −1.17262 0.258113i
\(613\) −5038.05 + 9502.77i −0.331949 + 0.626123i −0.992162 0.124955i \(-0.960121\pi\)
0.660213 + 0.751078i \(0.270466\pi\)
\(614\) −2474.04 15091.0i −0.162613 0.991894i
\(615\) −2949.19 + 3472.06i −0.193370 + 0.227653i
\(616\) 29873.0 + 35169.2i 1.95392 + 2.30034i
\(617\) 1264.42 7712.59i 0.0825015 0.503237i −0.912958 0.408053i \(-0.866208\pi\)
0.995460 0.0951839i \(-0.0303439\pi\)
\(618\) −11618.5 8832.17i −0.756255 0.574890i
\(619\) −9906.90 + 14611.6i −0.643283 + 0.948771i 0.356612 + 0.934253i \(0.383932\pi\)
−0.999895 + 0.0145184i \(0.995378\pi\)
\(620\) −28576.4 + 42147.0i −1.85106 + 2.73010i
\(621\) 628.273 + 477.600i 0.0405986 + 0.0308622i
\(622\) −4979.74 + 30375.1i −0.321012 + 1.95809i
\(623\) −2827.29 3328.54i −0.181818 0.214053i
\(624\) −15162.8 + 17851.0i −0.972752 + 1.14521i
\(625\) −7558.15 46102.7i −0.483722 2.95057i
\(626\) 7119.59 13429.0i 0.454563 0.857396i
\(627\) −934.903 205.788i −0.0595477 0.0131074i
\(628\) 4768.53 + 1606.71i 0.303002 + 0.102093i
\(629\) 1195.69 + 22053.2i 0.0757953 + 1.39796i
\(630\) −19963.4 + 15175.8i −1.26248 + 0.959710i
\(631\) −7800.65 14713.6i −0.492138 0.928271i −0.997848 0.0655672i \(-0.979114\pi\)
0.505710 0.862703i \(-0.331230\pi\)
\(632\) −4721.69 17006.0i −0.297181 1.07035i
\(633\) 6075.90 + 5755.40i 0.381509 + 0.361385i
\(634\) 7363.56 + 18481.1i 0.461269 + 1.15770i
\(635\) 1393.97 469.683i 0.0871150 0.0293525i
\(636\) 37462.1 4074.25i 2.33565 0.254017i
\(637\) −19263.6 8912.27i −1.19819 0.554344i
\(638\) 27125.6 25694.7i 1.68325 1.59446i
\(639\) 1501.35 + 903.332i 0.0929460 + 0.0559238i
\(640\) 27649.4 + 3007.06i 1.70772 + 0.185726i
\(641\) 28239.9 6216.07i 1.74011 0.383027i 0.772407 0.635128i \(-0.219053\pi\)
0.967701 + 0.252102i \(0.0811218\pi\)
\(642\) 347.055 1249.98i 0.0213352 0.0768423i
\(643\) −4126.33 + 2482.73i −0.253074 + 0.152269i −0.636438 0.771328i \(-0.719593\pi\)
0.383364 + 0.923597i \(0.374765\pi\)
\(644\) −12426.8 + 5749.25i −0.760380 + 0.351789i
\(645\) 7582.67 19031.1i 0.462895 1.16178i
\(646\) −285.223 + 5260.62i −0.0173714 + 0.320397i
\(647\) −11749.7 17329.5i −0.713955 1.05300i −0.995620 0.0934921i \(-0.970197\pi\)
0.281665 0.959513i \(-0.409113\pi\)
\(648\) 4192.01 0.254133
\(649\) −15534.5 + 1765.63i −0.939572 + 0.106791i
\(650\) −106800. −6.44467
\(651\) 5795.47 + 8547.68i 0.348913 + 0.514608i
\(652\) 465.291 8581.78i 0.0279482 0.515473i
\(653\) 1562.69 3922.06i 0.0936490 0.235041i −0.874689 0.484685i \(-0.838934\pi\)
0.968338 + 0.249644i \(0.0803135\pi\)
\(654\) −16988.8 + 7859.85i −1.01577 + 0.469945i
\(655\) 9577.56 5762.63i 0.571338 0.343762i
\(656\) −2302.05 + 8291.25i −0.137012 + 0.493474i
\(657\) −1493.95 + 328.844i −0.0887133 + 0.0195273i
\(658\) −24407.7 2654.50i −1.44607 0.157269i
\(659\) −27092.2 16300.8i −1.60146 0.963566i −0.984253 0.176763i \(-0.943437\pi\)
−0.617205 0.786802i \(-0.711735\pi\)
\(660\) 28725.8 27210.5i 1.69417 1.60480i
\(661\) 4395.44 + 2033.55i 0.258643 + 0.119661i 0.544926 0.838484i \(-0.316558\pi\)
−0.286283 + 0.958145i \(0.592420\pi\)
\(662\) 6947.32 755.567i 0.407878 0.0443594i
\(663\) −20693.9 + 6972.58i −1.21219 + 0.408435i
\(664\) 18054.9 + 45314.4i 1.05522 + 2.64840i
\(665\) 3660.53 + 3467.44i 0.213458 + 0.202198i
\(666\) −2439.05 8784.67i −0.141909 0.511110i
\(667\) 2901.04 + 5471.94i 0.168409 + 0.317653i
\(668\) −29594.2 + 22497.0i −1.71412 + 1.30304i
\(669\) −770.171 14205.0i −0.0445090 0.820920i
\(670\) −4179.89 1408.37i −0.241020 0.0812090i
\(671\) −11637.4 2561.59i −0.669534 0.147376i
\(672\) −7150.72 + 13487.7i −0.410483 + 0.774254i
\(673\) 1849.05 + 11278.7i 0.105907 + 0.646006i 0.985421 + 0.170133i \(0.0544196\pi\)
−0.879514 + 0.475873i \(0.842132\pi\)
\(674\) 9761.23 11491.8i 0.557847 0.656748i
\(675\) 5591.49 + 6582.81i 0.318839 + 0.375366i
\(676\) −6068.74 + 37017.7i −0.345286 + 2.10615i
\(677\) 18517.9 + 14076.9i 1.05126 + 0.799145i 0.980137 0.198323i \(-0.0635495\pi\)
0.0711202 + 0.997468i \(0.477343\pi\)
\(678\) 14767.5 21780.4i 0.836492 1.23373i
\(679\) 9795.43 14447.2i 0.553629 0.816542i
\(680\) −96840.8 73616.5i −5.46129 4.15156i
\(681\) 2741.88 16724.7i 0.154287 0.941106i
\(682\) −15205.1 17900.8i −0.853714 1.00507i
\(683\) −18722.6 + 22041.9i −1.04890 + 1.23486i −0.0776054 + 0.996984i \(0.524727\pi\)
−0.971295 + 0.237877i \(0.923548\pi\)
\(684\) −244.102 1488.95i −0.0136454 0.0832333i
\(685\) 14959.8 28217.1i 0.834428 1.57390i
\(686\) 2328.94 + 512.639i 0.129620 + 0.0285315i
\(687\) −5123.39 1726.27i −0.284526 0.0958681i
\(688\) −2094.95 38639.1i −0.116089 2.14114i
\(689\) 36036.6 27394.3i 1.99258 1.51472i
\(690\) 4428.16 + 8352.39i 0.244315 + 0.460826i
\(691\) 6150.46 + 22152.0i 0.338603 + 1.21954i 0.915365 + 0.402625i \(0.131902\pi\)
−0.576762 + 0.816912i \(0.695684\pi\)
\(692\) −36709.7 34773.2i −2.01661 1.91023i
\(693\) −2970.19 7454.61i −0.162811 0.408625i
\(694\) 24993.0 8421.11i 1.36703 0.460607i
\(695\) −22842.2 + 2484.24i −1.24670 + 0.135586i
\(696\) 29857.3 + 13813.4i 1.62606 + 0.752295i
\(697\) −5824.48 + 5517.24i −0.316525 + 0.299828i
\(698\) 22488.8 + 13531.1i 1.21951 + 0.733753i
\(699\) 9654.91 + 1050.04i 0.522435 + 0.0568183i
\(700\) −146346. + 32213.3i −7.90196 + 1.73935i
\(701\) −6632.04 + 23886.4i −0.357330 + 1.28699i 0.538513 + 0.842617i \(0.318986\pi\)
−0.895843 + 0.444370i \(0.853428\pi\)
\(702\) 7724.01 4647.38i 0.415277 0.249864i
\(703\) −1663.70 + 769.708i −0.0892568 + 0.0412946i
\(704\) 640.930 1608.61i 0.0343125 0.0861178i
\(705\) −636.701 + 11743.3i −0.0340136 + 0.627343i
\(706\) 24092.9 + 35534.4i 1.28435 + 1.89427i
\(707\) 12937.4 0.688204
\(708\) −11648.0 21715.8i −0.618305 1.15272i
\(709\) −7948.91 −0.421054 −0.210527 0.977588i \(-0.567518\pi\)
−0.210527 + 0.977588i \(0.567518\pi\)
\(710\) 11778.6 + 17372.2i 0.622598 + 0.918264i
\(711\) −166.166 + 3064.75i −0.00876470 + 0.161655i
\(712\) −3236.96 + 8124.15i −0.170379 + 0.427620i
\(713\) 3533.39 1634.72i 0.185591 0.0858637i
\(714\) −37841.0 + 22768.2i −1.98342 + 1.19339i
\(715\) 12715.8 45798.0i 0.665094 2.39545i
\(716\) 33109.4 7287.93i 1.72815 0.380395i
\(717\) −8591.49 934.381i −0.447497 0.0486682i
\(718\) 11576.3 + 6965.22i 0.601704 + 0.362033i
\(719\) 4828.75 4574.03i 0.250462 0.237250i −0.552160 0.833738i \(-0.686196\pi\)
0.802622 + 0.596488i \(0.203438\pi\)
\(720\) 20592.3 + 9527.02i 1.06588 + 0.493126i
\(721\) −24454.2 + 2659.55i −1.26314 + 0.137374i
\(722\) 32808.8 11054.6i 1.69116 0.569817i
\(723\) 5992.30 + 15039.6i 0.308238 + 0.773619i
\(724\) 14453.0 + 13690.6i 0.741906 + 0.702771i
\(725\) 18133.3 + 65310.4i 0.928904 + 3.34561i
\(726\) −1011.45 1907.80i −0.0517058 0.0975275i
\(727\) −12888.8 + 9797.81i −0.657523 + 0.499836i −0.879921 0.475120i \(-0.842405\pi\)
0.222398 + 0.974956i \(0.428611\pi\)
\(728\) 4729.97 + 87239.2i 0.240803 + 4.44135i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) −17895.8 3939.16i −0.907333 0.199719i
\(731\) 16899.2 31875.3i 0.855048 1.61279i
\(732\) −3038.51 18534.1i −0.153424 0.935846i
\(733\) 6056.66 7130.45i 0.305195 0.359303i −0.588089 0.808796i \(-0.700120\pi\)
0.893284 + 0.449493i \(0.148395\pi\)
\(734\) 15099.9 + 17777.0i 0.759328 + 0.893950i
\(735\) −3326.53 + 20290.9i −0.166940 + 1.01829i
\(736\) 4581.60 + 3482.84i 0.229456 + 0.174428i
\(737\) 792.086 1168.24i 0.0395887 0.0583890i
\(738\) 1858.54 2741.15i 0.0927018 0.136725i
\(739\) −1816.46 1380.84i −0.0904189 0.0687346i 0.558988 0.829176i \(-0.311190\pi\)
−0.649407 + 0.760441i \(0.724983\pi\)
\(740\) 12258.0 74770.4i 0.608936 3.71434i
\(741\) −1173.38 1381.41i −0.0581716 0.0684849i
\(742\) 59265.9 69773.3i 2.93224 3.45210i
\(743\) 1847.27 + 11267.8i 0.0912109 + 0.556362i 0.992412 + 0.122960i \(0.0392387\pi\)
−0.901201 + 0.433402i \(0.857313\pi\)
\(744\) 9686.62 18270.9i 0.477324 0.900328i
\(745\) −30413.5 6694.51i −1.49566 0.329219i
\(746\) −43824.1 14766.1i −2.15083 0.724697i
\(747\) −459.246 8470.30i −0.0224939 0.414876i
\(748\) 55473.5 42169.9i 2.71165 2.06134i
\(749\) −1024.17 1931.79i −0.0499632 0.0942406i
\(750\) 16863.1 + 60735.2i 0.821002 + 2.95698i
\(751\) 26677.8 + 25270.5i 1.29625 + 1.22787i 0.957983 + 0.286825i \(0.0925999\pi\)
0.338269 + 0.941050i \(0.390159\pi\)
\(752\) 8222.36 + 20636.6i 0.398722 + 1.00072i
\(753\) 11820.9 3982.93i 0.572083 0.192757i
\(754\) 70327.6 7648.59i 3.39679 0.369423i
\(755\) 24915.4 + 11527.1i 1.20101 + 0.555647i
\(756\) 9182.35 8697.98i 0.441744 0.418443i
\(757\) −30321.5 18243.8i −1.45582 0.875936i −0.455916 0.890023i \(-0.650688\pi\)
−0.999901 + 0.0140869i \(0.995516\pi\)
\(758\) 47270.7 + 5141.00i 2.26510 + 0.246345i
\(759\) −2954.43 + 650.319i −0.141290 + 0.0311003i
\(760\) 2701.14 9728.62i 0.128922 0.464335i
\(761\) 7691.22 4627.65i 0.366369 0.220437i −0.320450 0.947265i \(-0.603834\pi\)
0.686819 + 0.726829i \(0.259007\pi\)
\(762\) −970.538 + 449.019i −0.0461403 + 0.0213468i
\(763\) −11677.8 + 29309.2i −0.554084 + 1.39065i
\(764\) 3432.58 63310.2i 0.162548 2.99801i
\(765\) 11871.5 + 17509.2i 0.561067 + 0.827512i
\(766\) −31034.8 −1.46388
\(767\) −25438.1 15138.3i −1.19755 0.712664i
\(768\) −21423.9 −1.00660
\(769\) 5191.19 + 7656.44i 0.243432 + 0.359035i 0.929703 0.368311i \(-0.120064\pi\)
−0.686271 + 0.727346i \(0.740753\pi\)
\(770\) 5204.07 95983.5i 0.243561 4.49221i
\(771\) 5609.03 14077.6i 0.262003