Properties

Label 177.4.e.b.4.15
Level $177$
Weight $4$
Character 177.4
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 4.15
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.15

$q$-expansion

\(f(q)\) \(=\) \(q+(5.20320 + 0.565882i) q^{2} +(1.94216 - 2.28649i) q^{3} +(18.9401 + 4.16902i) q^{4} +(3.73106 + 2.83628i) q^{5} +(11.3993 - 10.7980i) q^{6} +(-7.57844 + 19.0204i) q^{7} +(56.5105 + 19.0406i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(5.20320 + 0.565882i) q^{2} +(1.94216 - 2.28649i) q^{3} +(18.9401 + 4.16902i) q^{4} +(3.73106 + 2.83628i) q^{5} +(11.3993 - 10.7980i) q^{6} +(-7.57844 + 19.0204i) q^{7} +(56.5105 + 19.0406i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(17.8084 + 16.8690i) q^{10} +(-14.1232 + 6.53410i) q^{11} +(46.3170 - 35.2093i) q^{12} +(4.31969 - 26.3490i) q^{13} +(-50.1954 + 94.6786i) q^{14} +(13.7314 - 3.02251i) q^{15} +(142.452 + 65.9055i) q^{16} +(-36.5050 - 91.6206i) q^{17} +(-2.55021 - 47.0358i) q^{18} +(-4.84610 - 7.14746i) q^{19} +(58.8420 + 69.2742i) q^{20} +(28.7715 + 54.2687i) q^{21} +(-77.1835 + 26.0062i) q^{22} +(3.37594 - 62.2656i) q^{23} +(153.289 - 92.2306i) q^{24} +(-27.5647 - 99.2791i) q^{25} +(37.3866 - 134.654i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(-222.833 + 328.654i) q^{28} +(-13.6444 + 1.48392i) q^{29} +(73.1577 - 7.95637i) q^{30} +(-145.027 + 213.899i) q^{31} +(295.143 + 177.582i) q^{32} +(-12.4894 + 44.9829i) q^{33} +(-138.096 - 497.377i) q^{34} +(-82.2228 + 49.4718i) q^{35} +(9.44948 - 174.285i) q^{36} +(177.830 - 59.9178i) q^{37} +(-21.1706 - 39.9320i) q^{38} +(-51.8570 - 61.0508i) q^{39} +(156.840 + 231.321i) q^{40} +(9.20035 + 169.691i) q^{41} +(118.994 + 298.652i) q^{42} +(202.638 + 93.7502i) q^{43} +(-294.736 + 64.8763i) q^{44} +(19.7577 - 37.2669i) q^{45} +(52.8007 - 322.070i) q^{46} +(-137.959 + 104.874i) q^{47} +(427.357 - 197.716i) q^{48} +(-55.3281 - 52.4095i) q^{49} +(-87.2444 - 532.167i) q^{50} +(-280.388 - 94.4736i) q^{51} +(191.665 - 481.042i) q^{52} +(-94.5857 + 89.5963i) q^{53} +(-112.500 - 85.5200i) q^{54} +(-71.2272 - 15.6783i) q^{55} +(-790.422 + 930.557i) q^{56} +(-25.7545 - 2.80097i) q^{57} -71.8342 q^{58} +(-124.893 + 435.638i) q^{59} +272.675 q^{60} +(-871.011 - 94.7281i) q^{61} +(-875.648 + 1030.89i) q^{62} +(179.963 + 39.6129i) q^{63} +(435.565 + 331.108i) q^{64} +(90.8500 - 86.0577i) q^{65} +(-90.4399 + 226.987i) q^{66} +(1024.15 + 345.075i) q^{67} +(-309.438 - 1887.49i) q^{68} +(-135.813 - 128.649i) q^{69} +(-455.817 + 210.883i) q^{70} +(-134.633 + 102.346i) q^{71} +(86.8266 - 529.619i) q^{72} +(44.8165 - 84.5328i) q^{73} +(959.190 - 211.134i) q^{74} +(-280.535 - 129.789i) q^{75} +(-61.9875 - 155.577i) q^{76} +(-17.2495 - 318.148i) q^{77} +(-235.275 - 347.004i) q^{78} +(-454.597 - 535.193i) q^{79} +(344.572 + 649.931i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-48.1535 + 888.140i) q^{82} +(1045.41 - 629.004i) q^{83} +(318.686 + 1147.80i) q^{84} +(123.659 - 445.380i) q^{85} +(1001.31 + 602.470i) q^{86} +(-23.1066 + 34.0797i) q^{87} +(-922.525 + 100.331i) q^{88} +(1304.36 - 141.857i) q^{89} +(123.892 - 182.727i) q^{90} +(468.432 + 281.846i) q^{91} +(323.528 - 1165.24i) q^{92} +(207.412 + 747.030i) q^{93} +(-777.176 + 467.611i) q^{94} +(2.19110 - 40.4125i) q^{95} +(979.254 - 329.949i) q^{96} +(-82.2340 - 155.110i) q^{97} +(-258.225 - 304.006i) q^{98} +(78.5962 + 115.921i) 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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.20320 + 0.565882i 1.83961 + 0.200069i 0.960826 0.277154i \(-0.0893911\pi\)
0.878782 + 0.477223i \(0.158357\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) 18.9401 + 4.16902i 2.36751 + 0.521128i
\(5\) 3.73106 + 2.83628i 0.333716 + 0.253684i 0.758590 0.651568i \(-0.225889\pi\)
−0.424874 + 0.905252i \(0.639682\pi\)
\(6\) 11.3993 10.7980i 0.775625 0.734711i
\(7\) −7.57844 + 19.0204i −0.409197 + 1.02701i 0.569554 + 0.821954i \(0.307116\pi\)
−0.978751 + 0.205053i \(0.934263\pi\)
\(8\) 56.5105 + 19.0406i 2.49744 + 0.841484i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 17.8084 + 16.8690i 0.563152 + 0.533446i
\(11\) −14.1232 + 6.53410i −0.387120 + 0.179101i −0.603789 0.797145i \(-0.706343\pi\)
0.216669 + 0.976245i \(0.430481\pi\)
\(12\) 46.3170 35.2093i 1.11421 0.847004i
\(13\) 4.31969 26.3490i 0.0921590 0.562145i −0.899872 0.436154i \(-0.856340\pi\)
0.992031 0.125992i \(-0.0402113\pi\)
\(14\) −50.1954 + 94.6786i −0.958235 + 1.80742i
\(15\) 13.7314 3.02251i 0.236362 0.0520273i
\(16\) 142.452 + 65.9055i 2.22582 + 1.02977i
\(17\) −36.5050 91.6206i −0.520809 1.30713i −0.920593 0.390523i \(-0.872294\pi\)
0.399784 0.916609i \(-0.369085\pi\)
\(18\) −2.55021 47.0358i −0.0333939 0.615914i
\(19\) −4.84610 7.14746i −0.0585143 0.0863021i 0.797306 0.603575i \(-0.206258\pi\)
−0.855821 + 0.517273i \(0.826947\pi\)
\(20\) 58.8420 + 69.2742i 0.657874 + 0.774509i
\(21\) 28.7715 + 54.2687i 0.298974 + 0.563924i
\(22\) −77.1835 + 26.0062i −0.747981 + 0.252024i
\(23\) 3.37594 62.2656i 0.0306058 0.564491i −0.942511 0.334176i \(-0.891542\pi\)
0.973116 0.230314i \(-0.0739754\pi\)
\(24\) 153.289 92.2306i 1.30375 0.784438i
\(25\) −27.5647 99.2791i −0.220518 0.794233i
\(26\) 37.3866 134.654i 0.282005 1.01569i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) −222.833 + 328.654i −1.50398 + 2.21820i
\(29\) −13.6444 + 1.48392i −0.0873690 + 0.00950195i −0.151699 0.988427i \(-0.548474\pi\)
0.0643301 + 0.997929i \(0.479509\pi\)
\(30\) 73.1577 7.95637i 0.445223 0.0484210i
\(31\) −145.027 + 213.899i −0.840248 + 1.23927i 0.128620 + 0.991694i \(0.458945\pi\)
−0.968868 + 0.247579i \(0.920365\pi\)
\(32\) 295.143 + 177.582i 1.63045 + 0.981010i
\(33\) −12.4894 + 44.9829i −0.0658827 + 0.237288i
\(34\) −138.096 497.377i −0.696567 2.50881i
\(35\) −82.2228 + 49.4718i −0.397091 + 0.238922i
\(36\) 9.44948 174.285i 0.0437476 0.806877i
\(37\) 177.830 59.9178i 0.790136 0.266228i 0.104837 0.994489i \(-0.466568\pi\)
0.685299 + 0.728262i \(0.259671\pi\)
\(38\) −21.1706 39.9320i −0.0903769 0.170469i
\(39\) −51.8570 61.0508i −0.212917 0.250665i
\(40\) 156.840 + 231.321i 0.619963 + 0.914377i
\(41\) 9.20035 + 169.691i 0.0350452 + 0.646371i 0.962308 + 0.271961i \(0.0876721\pi\)
−0.927263 + 0.374410i \(0.877845\pi\)
\(42\) 118.994 + 298.652i 0.437170 + 1.09721i
\(43\) 202.638 + 93.7502i 0.718650 + 0.332483i 0.744903 0.667172i \(-0.232496\pi\)
−0.0262531 + 0.999655i \(0.508358\pi\)
\(44\) −294.736 + 64.8763i −1.00984 + 0.222283i
\(45\) 19.7577 37.2669i 0.0654511 0.123454i
\(46\) 52.8007 322.070i 0.169240 1.03232i
\(47\) −137.959 + 104.874i −0.428158 + 0.325477i −0.796962 0.604030i \(-0.793561\pi\)
0.368803 + 0.929507i \(0.379768\pi\)
\(48\) 427.357 197.716i 1.28508 0.594540i
\(49\) −55.3281 52.4095i −0.161306 0.152797i
\(50\) −87.2444 532.167i −0.246764 1.50520i
\(51\) −280.388 94.4736i −0.769845 0.259391i
\(52\) 191.665 481.042i 0.511137 1.28286i
\(53\) −94.5857 + 89.5963i −0.245139 + 0.232208i −0.800397 0.599470i \(-0.795378\pi\)
0.555258 + 0.831678i \(0.312619\pi\)
\(54\) −112.500 85.5200i −0.283505 0.215515i
\(55\) −71.2272 15.6783i −0.174623 0.0384374i
\(56\) −790.422 + 930.557i −1.88615 + 2.22055i
\(57\) −25.7545 2.80097i −0.0598467 0.00650872i
\(58\) −71.8342 −0.162626
\(59\) −124.893 + 435.638i −0.275588 + 0.961276i
\(60\) 272.675 0.586703
\(61\) −871.011 94.7281i −1.82822 0.198831i −0.871610 0.490199i \(-0.836924\pi\)
−0.956611 + 0.291368i \(0.905890\pi\)
\(62\) −875.648 + 1030.89i −1.79367 + 2.11167i
\(63\) 179.963 + 39.6129i 0.359893 + 0.0792184i
\(64\) 435.565 + 331.108i 0.850714 + 0.646696i
\(65\) 90.8500 86.0577i 0.173362 0.164218i
\(66\) −90.4399 + 226.987i −0.168673 + 0.423336i
\(67\) 1024.15 + 345.075i 1.86745 + 0.629218i 0.988266 + 0.152742i \(0.0488103\pi\)
0.879187 + 0.476476i \(0.158086\pi\)
\(68\) −309.438 1887.49i −0.551837 3.36606i
\(69\) −135.813 128.649i −0.236956 0.224456i
\(70\) −455.817 + 210.883i −0.778293 + 0.360077i
\(71\) −134.633 + 102.346i −0.225043 + 0.171073i −0.711620 0.702564i \(-0.752038\pi\)
0.486577 + 0.873637i \(0.338245\pi\)
\(72\) 86.8266 529.619i 0.142120 0.866891i
\(73\) 44.8165 84.5328i 0.0718544 0.135532i −0.844982 0.534794i \(-0.820389\pi\)
0.916837 + 0.399263i \(0.130734\pi\)
\(74\) 959.190 211.134i 1.50680 0.331673i
\(75\) −280.535 129.789i −0.431912 0.199824i
\(76\) −61.9875 155.577i −0.0935586 0.234814i
\(77\) −17.2495 318.148i −0.0255294 0.470862i
\(78\) −235.275 347.004i −0.341534 0.503724i
\(79\) −454.597 535.193i −0.647420 0.762201i 0.336331 0.941744i \(-0.390814\pi\)
−0.983750 + 0.179543i \(0.942538\pi\)
\(80\) 344.572 + 649.931i 0.481554 + 0.908307i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −48.1535 + 888.140i −0.0648496 + 1.19608i
\(83\) 1045.41 629.004i 1.38252 0.831833i 0.386613 0.922242i \(-0.373645\pi\)
0.995905 + 0.0904086i \(0.0288173\pi\)
\(84\) 318.686 + 1147.80i 0.413946 + 1.49090i
\(85\) 123.659 445.380i 0.157797 0.568332i
\(86\) 1001.31 + 602.470i 1.25552 + 0.755418i
\(87\) −23.1066 + 34.0797i −0.0284746 + 0.0419969i
\(88\) −922.525 + 100.331i −1.11752 + 0.121537i
\(89\) 1304.36 141.857i 1.55350 0.168953i 0.709271 0.704936i \(-0.249024\pi\)
0.844229 + 0.535982i \(0.180059\pi\)
\(90\) 123.892 182.727i 0.145104 0.214012i
\(91\) 468.432 + 281.846i 0.539616 + 0.324676i
\(92\) 323.528 1165.24i 0.366631 1.32049i
\(93\) 207.412 + 747.030i 0.231265 + 0.832940i
\(94\) −777.176 + 467.611i −0.852761 + 0.513089i
\(95\) 2.19110 40.4125i 0.00236634 0.0436445i
\(96\) 979.254 329.949i 1.04109 0.350784i
\(97\) −82.2340 155.110i −0.0860783 0.162361i 0.836735 0.547607i \(-0.184461\pi\)
−0.922814 + 0.385246i \(0.874116\pi\)
\(98\) −258.225 304.006i −0.266170 0.313360i
\(99\) 78.5962 + 115.921i 0.0797901 + 0.117682i
\(100\) −108.180 1995.27i −0.108180 1.99527i
\(101\) 85.0792 + 213.533i 0.0838188 + 0.210369i 0.964912 0.262573i \(-0.0845711\pi\)
−0.881093 + 0.472943i \(0.843192\pi\)
\(102\) −1405.45 650.231i −1.36432 0.631200i
\(103\) −1575.18 + 346.723i −1.50686 + 0.331686i −0.890211 0.455549i \(-0.849443\pi\)
−0.616653 + 0.787235i \(0.711512\pi\)
\(104\) 745.809 1406.74i 0.703198 1.32637i
\(105\) −46.5731 + 284.084i −0.0432864 + 0.264035i
\(106\) −542.849 + 412.663i −0.497416 + 0.378126i
\(107\) 1135.38 525.282i 1.02581 0.474588i 0.166495 0.986042i \(-0.446755\pi\)
0.859310 + 0.511454i \(0.170893\pi\)
\(108\) −380.149 360.096i −0.338702 0.320836i
\(109\) 293.401 + 1789.67i 0.257823 + 1.57265i 0.725166 + 0.688574i \(0.241763\pi\)
−0.467343 + 0.884076i \(0.654789\pi\)
\(110\) −361.737 121.883i −0.313548 0.105647i
\(111\) 208.372 522.975i 0.178179 0.447195i
\(112\) −2333.12 + 2210.05i −1.96838 + 1.86455i
\(113\) −1325.90 1007.93i −1.10381 0.839095i −0.115768 0.993276i \(-0.536933\pi\)
−0.988043 + 0.154181i \(0.950726\pi\)
\(114\) −132.420 29.1480i −0.108792 0.0239470i
\(115\) 189.198 222.742i 0.153416 0.180615i
\(116\) −264.612 28.7783i −0.211799 0.0230345i
\(117\) −240.306 −0.189883
\(118\) −896.362 + 2196.04i −0.699295 + 1.71323i
\(119\) 2019.31 1.55555
\(120\) 833.520 + 90.6508i 0.634080 + 0.0689604i
\(121\) −704.900 + 829.872i −0.529602 + 0.623495i
\(122\) −4478.44 985.778i −3.32343 0.731542i
\(123\) 405.864 + 308.529i 0.297524 + 0.226172i
\(124\) −3638.58 + 3446.65i −2.63511 + 2.49611i
\(125\) 395.579 992.828i 0.283053 0.710410i
\(126\) 913.969 + 307.952i 0.646213 + 0.217734i
\(127\) 228.863 + 1396.01i 0.159908 + 0.975397i 0.937845 + 0.347055i \(0.112818\pi\)
−0.777937 + 0.628343i \(0.783734\pi\)
\(128\) 78.4191 + 74.2825i 0.0541510 + 0.0512946i
\(129\) 607.913 281.251i 0.414913 0.191959i
\(130\) 521.409 396.365i 0.351774 0.267411i
\(131\) 357.509 2180.71i 0.238440 1.45442i −0.547856 0.836572i \(-0.684556\pi\)
0.786297 0.617849i \(-0.211996\pi\)
\(132\) −424.085 + 799.910i −0.279635 + 0.527448i
\(133\) 172.674 38.0084i 0.112577 0.0247800i
\(134\) 5133.56 + 2375.04i 3.30949 + 1.53114i
\(135\) −46.8377 117.554i −0.0298604 0.0749439i
\(136\) −318.403 5872.60i −0.200756 3.70273i
\(137\) 1063.86 + 1569.08i 0.663443 + 0.978505i 0.999330 + 0.0366026i \(0.0116536\pi\)
−0.335887 + 0.941902i \(0.609036\pi\)
\(138\) −633.861 746.239i −0.390999 0.460320i
\(139\) −211.876 399.641i −0.129289 0.243864i 0.810413 0.585858i \(-0.199243\pi\)
−0.939702 + 0.341994i \(0.888898\pi\)
\(140\) −1763.56 + 594.211i −1.06463 + 0.358714i
\(141\) −28.1461 + 519.124i −0.0168108 + 0.310058i
\(142\) −758.439 + 456.338i −0.448217 + 0.269683i
\(143\) 111.159 + 400.358i 0.0650040 + 0.234123i
\(144\) 377.919 1361.14i 0.218703 0.787698i
\(145\) −55.1169 33.1627i −0.0315669 0.0189932i
\(146\) 281.024 414.480i 0.159300 0.234949i
\(147\) −227.290 + 24.7192i −0.127527 + 0.0138694i
\(148\) 3617.91 393.471i 2.00939 0.218535i
\(149\) −516.124 + 761.226i −0.283775 + 0.418537i −0.942685 0.333685i \(-0.891708\pi\)
0.658909 + 0.752222i \(0.271018\pi\)
\(150\) −1386.24 834.070i −0.754571 0.454010i
\(151\) 523.962 1887.14i 0.282380 1.01704i −0.677244 0.735758i \(-0.736826\pi\)
0.959625 0.281284i \(-0.0907602\pi\)
\(152\) −137.764 496.179i −0.0735138 0.264773i
\(153\) −760.570 + 457.620i −0.401885 + 0.241806i
\(154\) 90.2818 1665.15i 0.0472410 0.871309i
\(155\) −1147.78 + 386.733i −0.594788 + 0.200408i
\(156\) −727.653 1372.50i −0.373454 0.704410i
\(157\) −277.751 326.993i −0.141191 0.166222i 0.687022 0.726637i \(-0.258918\pi\)
−0.828212 + 0.560414i \(0.810642\pi\)
\(158\) −2062.50 3041.96i −1.03851 1.53168i
\(159\) 21.1603 + 390.279i 0.0105542 + 0.194661i
\(160\) 597.526 + 1499.68i 0.295241 + 0.740999i
\(161\) 1158.74 + 536.088i 0.567212 + 0.262420i
\(162\) −414.033 + 91.1355i −0.200799 + 0.0441992i
\(163\) −895.225 + 1688.57i −0.430181 + 0.811407i −0.999946 0.0104008i \(-0.996689\pi\)
0.569765 + 0.821807i \(0.307034\pi\)
\(164\) −533.189 + 3252.31i −0.253872 + 1.54855i
\(165\) −174.183 + 132.410i −0.0821824 + 0.0624735i
\(166\) 5795.43 2681.25i 2.70972 1.25365i
\(167\) 1966.28 + 1862.56i 0.911112 + 0.863051i 0.991015 0.133752i \(-0.0427025\pi\)
−0.0799031 + 0.996803i \(0.525461\pi\)
\(168\) 592.580 + 3614.58i 0.272134 + 1.65995i
\(169\) 1406.39 + 473.867i 0.640139 + 0.215688i
\(170\) 895.455 2247.42i 0.403990 1.01394i
\(171\) −56.4236 + 53.4473i −0.0252329 + 0.0239019i
\(172\) 3447.13 + 2620.44i 1.52814 + 1.16167i
\(173\) 3602.58 + 792.988i 1.58323 + 0.348496i 0.917513 0.397706i \(-0.130194\pi\)
0.665720 + 0.746202i \(0.268125\pi\)
\(174\) −139.513 + 164.248i −0.0607844 + 0.0715609i
\(175\) 2097.23 + 228.088i 0.905918 + 0.0985245i
\(176\) −2442.52 −1.04609
\(177\) 753.519 + 1131.64i 0.319989 + 0.480563i
\(178\) 6867.10 2.89163
\(179\) 3199.80 + 347.999i 1.33611 + 0.145311i 0.748124 0.663559i \(-0.230955\pi\)
0.587988 + 0.808870i \(0.299920\pi\)
\(180\) 529.578 623.468i 0.219291 0.258170i
\(181\) −3705.78 815.704i −1.52182 0.334977i −0.626149 0.779703i \(-0.715370\pi\)
−0.895667 + 0.444726i \(0.853301\pi\)
\(182\) 2277.85 + 1731.58i 0.927724 + 0.705238i
\(183\) −1908.24 + 1807.58i −0.770824 + 0.730164i
\(184\) 1376.35 3454.38i 0.551446 1.38402i
\(185\) 833.437 + 280.818i 0.331219 + 0.111601i
\(186\) 656.474 + 4004.31i 0.258790 + 1.57855i
\(187\) 1114.23 + 1055.45i 0.435724 + 0.412739i
\(188\) −3050.18 + 1411.16i −1.18328 + 0.547445i
\(189\) 440.092 334.549i 0.169376 0.128756i
\(190\) 34.2694 209.034i 0.0130851 0.0798154i
\(191\) 1067.22 2012.99i 0.404301 0.762592i −0.594848 0.803838i \(-0.702788\pi\)
0.999149 + 0.0412460i \(0.0131327\pi\)
\(192\) 1603.01 352.850i 0.602539 0.132629i
\(193\) −211.477 97.8397i −0.0788728 0.0364905i 0.380056 0.924963i \(-0.375905\pi\)
−0.458929 + 0.888473i \(0.651767\pi\)
\(194\) −340.106 853.601i −0.125867 0.315902i
\(195\) −20.3246 374.865i −0.00746397 0.137665i
\(196\) −829.421 1223.30i −0.302267 0.445811i
\(197\) 186.486 + 219.548i 0.0674446 + 0.0794019i 0.794850 0.606806i \(-0.207550\pi\)
−0.727405 + 0.686208i \(0.759274\pi\)
\(198\) 343.354 + 647.635i 0.123238 + 0.232451i
\(199\) −1099.03 + 370.306i −0.391498 + 0.131911i −0.508164 0.861260i \(-0.669676\pi\)
0.116667 + 0.993171i \(0.462779\pi\)
\(200\) 332.639 6135.16i 0.117606 2.16911i
\(201\) 2778.06 1671.51i 0.974873 0.586562i
\(202\) 321.850 + 1159.20i 0.112105 + 0.403767i
\(203\) 75.1784 270.768i 0.0259926 0.0936168i
\(204\) −4916.70 2958.28i −1.68744 1.01530i
\(205\) −446.962 + 659.220i −0.152279 + 0.224595i
\(206\) −8392.17 + 912.703i −2.83840 + 0.308694i
\(207\) −557.924 + 60.6779i −0.187335 + 0.0203739i
\(208\) 2351.89 3468.78i 0.784011 1.15633i
\(209\) 115.145 + 69.2803i 0.0381088 + 0.0229293i
\(210\) −403.087 + 1451.79i −0.132455 + 0.477061i
\(211\) 1144.42 + 4121.84i 0.373390 + 1.34483i 0.876830 + 0.480800i \(0.159654\pi\)
−0.503440 + 0.864030i \(0.667932\pi\)
\(212\) −2164.99 + 1302.63i −0.701378 + 0.422005i
\(213\) −27.4675 + 506.609i −0.00883589 + 0.162968i
\(214\) 6204.84 2090.66i 1.98203 0.667824i
\(215\) 490.152 + 924.524i 0.155479 + 0.293265i
\(216\) −1042.33 1227.13i −0.328342 0.386554i
\(217\) −2969.38 4379.51i −0.928916 1.37005i
\(218\) 513.883 + 9478.01i 0.159654 + 2.94464i
\(219\) −106.242 266.648i −0.0327817 0.0822759i
\(220\) −1283.68 593.896i −0.393391 0.182002i
\(221\) −2571.80 + 566.095i −0.782795 + 0.172306i
\(222\) 1380.14 2603.23i 0.417249 0.787015i
\(223\) 215.800 1316.32i 0.0648029 0.395280i −0.934431 0.356144i \(-0.884091\pi\)
0.999234 0.0391358i \(-0.0124605\pi\)
\(224\) −5614.41 + 4267.96i −1.67468 + 1.27306i
\(225\) −841.606 + 389.368i −0.249365 + 0.115368i
\(226\) −6328.57 5994.74i −1.86270 1.76444i
\(227\) −896.023 5465.50i −0.261987 1.59805i −0.710117 0.704084i \(-0.751358\pi\)
0.448129 0.893969i \(-0.352090\pi\)
\(228\) −476.114 160.421i −0.138296 0.0465972i
\(229\) −718.385 + 1803.01i −0.207302 + 0.520290i −0.995460 0.0951841i \(-0.969656\pi\)
0.788157 + 0.615474i \(0.211035\pi\)
\(230\) 1110.48 1051.90i 0.318361 0.301568i
\(231\) −760.943 578.454i −0.216738 0.164760i
\(232\) −799.307 175.941i −0.226194 0.0497891i
\(233\) −757.034 + 891.249i −0.212854 + 0.250591i −0.858219 0.513283i \(-0.828429\pi\)
0.645366 + 0.763874i \(0.276705\pi\)
\(234\) −1250.36 135.985i −0.349311 0.0379898i
\(235\) −812.186 −0.225452
\(236\) −4181.67 + 7730.34i −1.15340 + 2.13221i
\(237\) −2106.61 −0.577380
\(238\) 10506.9 + 1142.69i 2.86160 + 0.311218i
\(239\) 2433.90 2865.40i 0.658727 0.775513i −0.326789 0.945097i \(-0.605967\pi\)
0.985516 + 0.169584i \(0.0542425\pi\)
\(240\) 2155.27 + 474.411i 0.579676 + 0.127596i
\(241\) −3601.57 2737.85i −0.962646 0.731785i 0.000712629 1.00000i \(-0.499773\pi\)
−0.963359 + 0.268215i \(0.913566\pi\)
\(242\) −4137.34 + 3919.10i −1.09900 + 1.04103i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −16102.1 5425.42i −4.22471 1.42347i
\(245\) −57.7843 352.469i −0.0150682 0.0919119i
\(246\) 1937.20 + 1835.01i 0.502078 + 0.475593i
\(247\) −209.262 + 96.8148i −0.0539069 + 0.0249400i
\(248\) −12268.4 + 9326.16i −3.14129 + 2.38795i
\(249\) 592.149 3611.95i 0.150706 0.919269i
\(250\) 2620.10 4942.03i 0.662838 1.25025i
\(251\) −2479.47 + 545.773i −0.623518 + 0.137247i −0.515482 0.856900i \(-0.672387\pi\)
−0.108036 + 0.994147i \(0.534456\pi\)
\(252\) 3243.37 + 1500.54i 0.810767 + 0.375101i
\(253\) 359.171 + 901.451i 0.0892525 + 0.224007i
\(254\) 400.848 + 7393.20i 0.0990214 + 1.82634i
\(255\) −778.189 1147.74i −0.191106 0.281861i
\(256\) −2467.63 2905.12i −0.602450 0.709259i
\(257\) −869.231 1639.54i −0.210977 0.397945i 0.755327 0.655348i \(-0.227478\pi\)
−0.966304 + 0.257403i \(0.917133\pi\)
\(258\) 3322.25 1119.40i 0.801682 0.270118i
\(259\) −208.008 + 3836.48i −0.0499035 + 0.920415i
\(260\) 2079.48 1251.18i 0.496015 0.298443i
\(261\) 33.0461 + 119.021i 0.00783717 + 0.0282269i
\(262\) 3094.21 11144.3i 0.729622 2.62786i
\(263\) −843.827 507.714i −0.197842 0.119038i 0.413185 0.910647i \(-0.364416\pi\)
−0.611028 + 0.791609i \(0.709244\pi\)
\(264\) −1562.29 + 2304.20i −0.364212 + 0.537173i
\(265\) −607.025 + 66.0179i −0.140714 + 0.0153036i
\(266\) 919.963 100.052i 0.212055 0.0230623i
\(267\) 2208.91 3257.90i 0.506304 0.746743i
\(268\) 17958.8 + 10805.4i 4.09331 + 2.46286i
\(269\) 101.744 366.447i 0.0230610 0.0830583i −0.951124 0.308809i \(-0.900070\pi\)
0.974185 + 0.225751i \(0.0724834\pi\)
\(270\) −177.184 638.160i −0.0399374 0.143842i
\(271\) 1749.58 1052.69i 0.392175 0.235964i −0.305785 0.952100i \(-0.598919\pi\)
0.697960 + 0.716137i \(0.254091\pi\)
\(272\) 838.078 15457.4i 0.186823 3.44575i
\(273\) 1554.21 523.674i 0.344560 0.116096i
\(274\) 4647.56 + 8766.23i 1.02471 + 1.93280i
\(275\) 1038.00 + 1222.03i 0.227614 + 0.267968i
\(276\) −2035.97 3002.82i −0.444024 0.654887i
\(277\) 1.53859 + 28.3777i 0.000333737 + 0.00615541i 0.998696 0.0510609i \(-0.0162603\pi\)
−0.998362 + 0.0572164i \(0.981778\pi\)
\(278\) −876.285 2199.31i −0.189051 0.474481i
\(279\) 2110.90 + 976.606i 0.452962 + 0.209562i
\(280\) −5588.43 + 1230.11i −1.19276 + 0.262546i
\(281\) 1342.48 2532.18i 0.285002 0.537570i −0.699133 0.714991i \(-0.746431\pi\)
0.984135 + 0.177421i \(0.0567754\pi\)
\(282\) −440.212 + 2685.18i −0.0929584 + 0.567021i
\(283\) −7432.87 + 5650.32i −1.56127 + 1.18684i −0.661947 + 0.749551i \(0.730270\pi\)
−0.899319 + 0.437293i \(0.855937\pi\)
\(284\) −2976.65 + 1377.14i −0.621942 + 0.287741i
\(285\) −88.1471 83.4973i −0.0183206 0.0173542i
\(286\) 351.826 + 2146.04i 0.0727409 + 0.443700i
\(287\) −3297.31 1110.99i −0.678168 0.228501i
\(288\) 1147.44 2879.86i 0.234770 0.589228i
\(289\) −3494.90 + 3310.54i −0.711357 + 0.673833i
\(290\) −268.018 203.742i −0.0542708 0.0412556i
\(291\) −514.368 113.221i −0.103618 0.0228080i
\(292\) 1201.25 1414.22i 0.240745 0.283427i
\(293\) −5688.23 618.632i −1.13416 0.123348i −0.478279 0.878208i \(-0.658739\pi\)
−0.655885 + 0.754860i \(0.727705\pi\)
\(294\) −1196.62 −0.237375
\(295\) −1701.57 + 1271.16i −0.335829 + 0.250881i
\(296\) 11190.1 2.19734
\(297\) 417.698 + 45.4273i 0.0816070 + 0.00887529i
\(298\) −3116.26 + 3668.74i −0.605772 + 0.713170i
\(299\) −1626.05 357.921i −0.314505 0.0692278i
\(300\) −4772.26 3627.78i −0.918423 0.698167i
\(301\) −3318.85 + 3143.78i −0.635532 + 0.602008i
\(302\) 3794.17 9522.66i 0.722948 1.81446i
\(303\) 653.477 + 220.182i 0.123899 + 0.0417463i
\(304\) −219.281 1337.56i −0.0413705 0.252349i
\(305\) −2981.12 2823.86i −0.559666 0.530144i
\(306\) −4216.35 + 1950.69i −0.787689 + 0.364424i
\(307\) 3996.11 3037.76i 0.742899 0.564737i −0.163811 0.986492i \(-0.552379\pi\)
0.906710 + 0.421755i \(0.138586\pi\)
\(308\) 999.662 6097.67i 0.184938 1.12807i
\(309\) −2266.47 + 4275.02i −0.417265 + 0.787046i
\(310\) −6190.99 + 1362.74i −1.13427 + 0.249672i
\(311\) 1834.15 + 848.568i 0.334422 + 0.154720i 0.579912 0.814679i \(-0.303087\pi\)
−0.245490 + 0.969399i \(0.578949\pi\)
\(312\) −1768.02 4437.40i −0.320816 0.805187i
\(313\) −268.963 4960.73i −0.0485708 0.895836i −0.916719 0.399532i \(-0.869173\pi\)
0.868148 0.496305i \(-0.165310\pi\)
\(314\) −1260.15 1858.59i −0.226479 0.334032i
\(315\) 559.101 + 658.224i 0.100006 + 0.117736i
\(316\) −6378.87 12031.8i −1.13557 2.14191i
\(317\) −766.157 + 258.148i −0.135747 + 0.0457383i −0.386355 0.922350i \(-0.626266\pi\)
0.250608 + 0.968089i \(0.419369\pi\)
\(318\) −110.751 + 2042.67i −0.0195301 + 0.360212i
\(319\) 183.007 110.112i 0.0321205 0.0193262i
\(320\) 686.006 + 2470.77i 0.119840 + 0.431626i
\(321\) 1004.04 3616.21i 0.174579 0.628776i
\(322\) 5725.77 + 3445.08i 0.990946 + 0.596232i
\(323\) −477.948 + 704.920i −0.0823335 + 0.121433i
\(324\) −1561.66 + 169.841i −0.267775 + 0.0291223i
\(325\) −2734.97 + 297.446i −0.466797 + 0.0507672i
\(326\) −5613.56 + 8279.39i −0.953701 + 1.40660i
\(327\) 4661.88 + 2804.96i 0.788386 + 0.474356i
\(328\) −2711.10 + 9764.48i −0.456388 + 1.64376i
\(329\) −949.233 3418.83i −0.159067 0.572906i
\(330\) −981.235 + 590.390i −0.163682 + 0.0984845i
\(331\) −104.442 + 1926.31i −0.0173433 + 0.319878i 0.976969 + 0.213379i \(0.0684469\pi\)
−0.994313 + 0.106499i \(0.966036\pi\)
\(332\) 22422.5 7555.03i 3.70661 1.24890i
\(333\) −791.083 1492.14i −0.130183 0.245552i
\(334\) 9176.97 + 10804.0i 1.50342 + 1.76996i
\(335\) 2842.42 + 4192.26i 0.463576 + 0.683724i
\(336\) 521.955 + 9626.90i 0.0847470 + 1.56307i
\(337\) −3217.55 8075.45i −0.520093 1.30534i −0.921123 0.389270i \(-0.872727\pi\)
0.401030 0.916065i \(-0.368652\pi\)
\(338\) 7049.55 + 3261.47i 1.13445 + 0.524854i
\(339\) −4879.73 + 1074.11i −0.781800 + 0.172087i
\(340\) 4198.91 7919.99i 0.669759 1.26330i
\(341\) 650.615 3968.58i 0.103322 0.630236i
\(342\) −323.828 + 246.168i −0.0512006 + 0.0389217i
\(343\) −4957.56 + 2293.61i −0.780417 + 0.361060i
\(344\) 9666.11 + 9156.22i 1.51500 + 1.43509i
\(345\) −141.842 865.199i −0.0221349 0.135017i
\(346\) 18296.2 + 6164.71i 2.84280 + 0.957852i
\(347\) −1527.72 + 3834.29i −0.236347 + 0.593186i −0.998532 0.0541736i \(-0.982748\pi\)
0.762185 + 0.647360i \(0.224127\pi\)
\(348\) −579.721 + 549.140i −0.0892997 + 0.0845891i
\(349\) −7485.25 5690.14i −1.14807 0.872740i −0.154729 0.987957i \(-0.549451\pi\)
−0.993340 + 0.115217i \(0.963244\pi\)
\(350\) 10783.2 + 2373.57i 1.64682 + 0.362493i
\(351\) −466.713 + 549.457i −0.0709724 + 0.0835551i
\(352\) −5328.72 579.533i −0.806880 0.0877534i
\(353\) −1744.18 −0.262985 −0.131492 0.991317i \(-0.541977\pi\)
−0.131492 + 0.991317i \(0.541977\pi\)
\(354\) 3280.33 + 6314.57i 0.492508 + 0.948067i
\(355\) −792.605 −0.118499
\(356\) 25296.0 + 2751.11i 3.76597 + 0.409574i
\(357\) 3921.83 4617.13i 0.581415 0.684495i
\(358\) 16452.2 + 3621.41i 2.42885 + 0.534630i
\(359\) 2056.79 + 1563.53i 0.302377 + 0.229861i 0.745349 0.666674i \(-0.232283\pi\)
−0.442972 + 0.896535i \(0.646076\pi\)
\(360\) 1826.10 1729.77i 0.267344 0.253242i
\(361\) 2511.18 6302.58i 0.366114 0.918877i
\(362\) −18820.3 6341.31i −2.73253 0.920695i
\(363\) 528.464 + 3223.49i 0.0764109 + 0.466086i
\(364\) 7697.12 + 7291.10i 1.10835 + 1.04988i
\(365\) 406.971 188.285i 0.0583612 0.0270008i
\(366\) −10951.8 + 8325.34i −1.56410 + 1.18900i
\(367\) −143.570 + 875.736i −0.0204204 + 0.124559i −0.995069 0.0991802i \(-0.968378\pi\)
0.974649 + 0.223739i \(0.0718263\pi\)
\(368\) 4584.56 8647.39i 0.649420 1.22494i
\(369\) 1493.70 328.788i 0.210729 0.0463849i
\(370\) 4177.63 + 1932.78i 0.586985 + 0.271568i
\(371\) −987.350 2478.06i −0.138169 0.346778i
\(372\) 814.008 + 15013.5i 0.113453 + 2.09251i
\(373\) 5405.63 + 7972.71i 0.750383 + 1.10673i 0.990703 + 0.136039i \(0.0434372\pi\)
−0.240320 + 0.970694i \(0.577252\pi\)
\(374\) 5200.28 + 6122.24i 0.718984 + 0.846453i
\(375\) −1501.81 2832.72i −0.206808 0.390082i
\(376\) −9793.02 + 3299.65i −1.34318 + 0.452571i
\(377\) −19.8399 + 365.926i −0.00271037 + 0.0499898i
\(378\) 2479.20 1491.69i 0.337345 0.202974i
\(379\) −1753.70 6316.25i −0.237682 0.856053i −0.982103 0.188343i \(-0.939688\pi\)
0.744421 0.667710i \(-0.232725\pi\)
\(380\) 209.980 756.280i 0.0283467 0.102096i
\(381\) 3636.44 + 2187.97i 0.488977 + 0.294208i
\(382\) 6692.08 9870.08i 0.896326 1.32198i
\(383\) −11749.1 + 1277.79i −1.56750 + 0.170476i −0.850264 0.526357i \(-0.823558\pi\)
−0.717234 + 0.696833i \(0.754592\pi\)
\(384\) 322.148 35.0357i 0.0428113 0.00465601i
\(385\) 837.998 1235.96i 0.110931 0.163611i
\(386\) −1044.99 628.751i −0.137794 0.0829082i
\(387\) 537.588 1936.22i 0.0706128 0.254324i
\(388\) −910.861 3280.63i −0.119180 0.429249i
\(389\) 5703.90 3431.92i 0.743442 0.447314i −0.0927930 0.995685i \(-0.529579\pi\)
0.836235 + 0.548371i \(0.184752\pi\)
\(390\) 106.376 1962.00i 0.0138117 0.254743i
\(391\) −5828.05 + 1963.70i −0.753804 + 0.253986i
\(392\) −2128.71 4015.17i −0.274276 0.517339i
\(393\) −4291.82 5052.72i −0.550874 0.648539i
\(394\) 846.085 + 1247.88i 0.108186 + 0.159562i
\(395\) −178.173 3286.20i −0.0226958 0.418599i
\(396\) 1005.34 + 2523.22i 0.127577 + 0.320193i
\(397\) −5520.95 2554.26i −0.697955 0.322909i 0.0386295 0.999254i \(-0.487701\pi\)
−0.736585 + 0.676345i \(0.763563\pi\)
\(398\) −5928.01 + 1304.85i −0.746593 + 0.164338i
\(399\) 248.454 468.634i 0.0311736 0.0587996i
\(400\) 2616.38 15959.2i 0.327047 1.99490i
\(401\) 175.771 133.618i 0.0218892 0.0166398i −0.594172 0.804338i \(-0.702520\pi\)
0.616062 + 0.787698i \(0.288727\pi\)
\(402\) 15400.7 7125.12i 1.91074 0.884001i
\(403\) 5009.55 + 4745.30i 0.619215 + 0.586552i
\(404\) 721.183 + 4399.02i 0.0888124 + 0.541732i
\(405\) −359.752 121.214i −0.0441388 0.0148721i
\(406\) 544.391 1366.32i 0.0665460 0.167018i
\(407\) −2120.02 + 2008.19i −0.258196 + 0.244576i
\(408\) −14046.0 10677.5i −1.70437 1.29563i
\(409\) 13861.9 + 3051.23i 1.67586 + 0.368884i 0.948353 0.317217i \(-0.102748\pi\)
0.727506 + 0.686102i \(0.240679\pi\)
\(410\) −2698.67 + 3177.12i −0.325068 + 0.382700i
\(411\) 5653.85 + 614.894i 0.678550 + 0.0737967i
\(412\) −31279.5 −3.74036
\(413\) −7339.54 5676.98i −0.874468 0.676382i
\(414\) −2937.32 −0.348700
\(415\) 5684.53 + 618.230i 0.672391 + 0.0731270i
\(416\) 5954.03 7009.62i 0.701731 0.826142i
\(417\) −1325.27 291.714i −0.155633 0.0342574i
\(418\) 559.917 + 425.638i 0.0655178 + 0.0498053i
\(419\) −4905.22 + 4646.47i −0.571923 + 0.541754i −0.918066 0.396427i \(-0.870250\pi\)
0.346143 + 0.938182i \(0.387491\pi\)
\(420\) −2066.45 + 5186.40i −0.240077 + 0.602548i
\(421\) −10596.6 3570.40i −1.22671 0.413327i −0.369956 0.929049i \(-0.620627\pi\)
−0.856756 + 0.515722i \(0.827524\pi\)
\(422\) 3622.19 + 22094.4i 0.417832 + 2.54866i
\(423\) 1132.31 + 1072.58i 0.130153 + 0.123287i
\(424\) −7051.06 + 3262.17i −0.807617 + 0.373643i
\(425\) −8089.76 + 6149.67i −0.923320 + 0.701890i
\(426\) −429.600 + 2620.44i −0.0488595 + 0.298030i
\(427\) 8402.67 15849.1i 0.952304 1.79624i
\(428\) 23694.1 5215.46i 2.67592 0.589015i
\(429\) 1131.30 + 523.396i 0.127319 + 0.0589039i
\(430\) 2027.18 + 5087.85i 0.227348 + 0.570600i
\(431\) 876.227 + 16161.0i 0.0979266 + 1.80615i 0.475021 + 0.879974i \(0.342440\pi\)
−0.377095 + 0.926175i \(0.623077\pi\)
\(432\) −2378.25 3507.66i −0.264870 0.390654i
\(433\) −5776.56 6800.69i −0.641117 0.754782i 0.341610 0.939842i \(-0.389028\pi\)
−0.982727 + 0.185060i \(0.940752\pi\)
\(434\) −12972.0 24467.8i −1.43474 2.70620i
\(435\) −182.872 + 61.6167i −0.0201564 + 0.00679148i
\(436\) −1904.13 + 35119.6i −0.209154 + 3.85762i
\(437\) −461.401 + 277.616i −0.0505076 + 0.0303894i
\(438\) −401.909 1447.54i −0.0438446 0.157914i
\(439\) 1400.73 5044.97i 0.152285 0.548481i −0.847557 0.530705i \(-0.821927\pi\)
0.999842 0.0177768i \(-0.00565881\pi\)
\(440\) −3726.56 2242.20i −0.403765 0.242938i
\(441\) −384.912 + 567.703i −0.0415627 + 0.0613004i
\(442\) −13701.9 + 1490.17i −1.47451 + 0.160363i
\(443\) 13755.9 1496.04i 1.47531 0.160449i 0.665172 0.746690i \(-0.268358\pi\)
0.810137 + 0.586241i \(0.199393\pi\)
\(444\) 6126.88 9036.48i 0.654885 0.965884i
\(445\) 5268.98 + 3170.24i 0.561289 + 0.337716i
\(446\) 1867.73 6726.96i 0.198295 0.714195i
\(447\) 738.138 + 2658.53i 0.0781045 + 0.281307i
\(448\) −9598.73 + 5775.36i −1.01227 + 0.609063i
\(449\) 140.867 2598.14i 0.0148061 0.273082i −0.981751 0.190171i \(-0.939096\pi\)
0.996557 0.0829104i \(-0.0264215\pi\)
\(450\) −4599.38 + 1549.71i −0.481815 + 0.162342i
\(451\) −1238.71 2336.46i −0.129332 0.243946i
\(452\) −20910.7 24617.9i −2.17601 2.56179i
\(453\) −3297.30 4863.16i −0.341989 0.504395i
\(454\) −1569.36 28945.1i −0.162233 2.99221i
\(455\) 948.354 + 2380.19i 0.0977133 + 0.245242i
\(456\) −1402.07 648.665i −0.143986 0.0666152i
\(457\) −8890.41 + 1956.93i −0.910013 + 0.200309i −0.645221 0.763996i \(-0.723235\pi\)
−0.264793 + 0.964305i \(0.585304\pi\)
\(458\) −4758.19 + 8974.90i −0.485449 + 0.915654i
\(459\) −430.806 + 2627.80i −0.0438090 + 0.267223i
\(460\) 4512.05 3429.97i 0.457338 0.347659i
\(461\) 10065.9 4656.97i 1.01695 0.470491i 0.160673 0.987008i \(-0.448633\pi\)
0.856277 + 0.516516i \(0.172771\pi\)
\(462\) −3632.00 3440.41i −0.365749 0.346456i
\(463\) 1800.73 + 10984.0i 0.180749 + 1.10252i 0.908872 + 0.417076i \(0.136945\pi\)
−0.728122 + 0.685447i \(0.759607\pi\)
\(464\) −2041.47 687.853i −0.204252 0.0688206i
\(465\) −1344.92 + 3375.49i −0.134127 + 0.336634i
\(466\) −4443.34 + 4208.95i −0.441703 + 0.418403i
\(467\) 5355.17 + 4070.89i 0.530637 + 0.403380i 0.835895 0.548890i \(-0.184949\pi\)
−0.305257 + 0.952270i \(0.598742\pi\)
\(468\) −4551.42 1001.84i −0.449550 0.0989534i
\(469\) −14324.9 + 16864.6i −1.41037 + 1.66041i
\(470\) −4225.96 459.601i −0.414743 0.0451060i
\(471\) −1287.10 −0.125916
\(472\) −15352.6 + 22240.1i −1.49716 + 2.16882i
\(473\) −3474.47 −0.337752
\(474\) −10961.1 1192.09i −1.06215 0.115516i
\(475\) −576.012 + 678.134i −0.0556405 + 0.0655051i
\(476\) 38246.0 + 8418.57i 3.68277 + 0.810640i
\(477\) 933.465 + 709.601i 0.0896025 + 0.0681141i
\(478\) 14285.5 13532.0i 1.36696 1.29485i
\(479\) −6482.31 + 16269.4i −0.618339 + 1.55191i 0.201602 + 0.979467i \(0.435385\pi\)
−0.819942 + 0.572447i \(0.805994\pi\)
\(480\) 4589.48 + 1546.38i 0.436417 + 0.147046i
\(481\) −810.603 4944.46i −0.0768405 0.468707i
\(482\) −17190.4 16283.6i −1.62448 1.53879i
\(483\) 3476.21 1608.26i 0.327480 0.151508i
\(484\) −16810.6 + 12779.1i −1.57876 + 1.20014i
\(485\) 133.114 811.962i 0.0124627 0.0760192i
\(486\) −595.737 + 1123.68i −0.0556033 + 0.104879i
\(487\) 11881.2 2615.26i 1.10552 0.243344i 0.375538 0.926807i \(-0.377458\pi\)
0.729985 + 0.683463i \(0.239527\pi\)
\(488\) −47417.6 21937.7i −4.39855 2.03499i
\(489\) 2122.23 + 5326.40i 0.196259 + 0.492573i
\(490\) −101.208 1866.66i −0.00933080 0.172096i
\(491\) 8401.41 + 12391.2i 0.772200 + 1.13891i 0.986758 + 0.162199i \(0.0518586\pi\)
−0.214558 + 0.976711i \(0.568831\pi\)
\(492\) 6400.82 + 7535.63i 0.586527 + 0.690513i
\(493\) 634.046 + 1195.94i 0.0579229 + 0.109254i
\(494\) −1143.62 + 385.329i −0.104157 + 0.0350947i
\(495\) −35.5363 + 655.428i −0.00322674 + 0.0595137i
\(496\) −34756.6 + 20912.4i −3.14641 + 1.89313i
\(497\) −926.348 3336.41i −0.0836064 0.301123i
\(498\) 5125.00 18458.6i 0.461158 1.66094i
\(499\) 2759.49 + 1660.33i 0.247559 + 0.148951i 0.633926 0.773394i \(-0.281443\pi\)
−0.386367 + 0.922345i \(0.626270\pi\)
\(500\) 11631.4 17155.1i 1.04035 1.53439i
\(501\) 8077.56 878.488i 0.720317 0.0783392i
\(502\) −13210.0 + 1436.68i −1.17449 + 0.127733i
\(503\) 9370.44 13820.4i 0.830631 1.22509i −0.141334 0.989962i \(-0.545139\pi\)
0.971965 0.235127i \(-0.0755504\pi\)
\(504\) 9415.57 + 5665.16i 0.832149 + 0.500687i
\(505\) −288.203 + 1038.01i −0.0253957 + 0.0914672i
\(506\) 1358.72 + 4893.68i 0.119373 + 0.429942i
\(507\) 3814.91 2295.36i 0.334174 0.201066i
\(508\) −1485.29 + 27394.6i −0.129723 + 2.39259i
\(509\) −12608.1 + 4248.17i −1.09793 + 0.369935i −0.809234 0.587487i \(-0.800117\pi\)
−0.288694 + 0.957422i \(0.593221\pi\)
\(510\) −3399.59 6412.30i −0.295169 0.556748i
\(511\) 1268.21 + 1493.06i 0.109789 + 0.129254i
\(512\) −11680.6 17227.6i −1.00823 1.48703i
\(513\) 12.6229 + 232.815i 0.00108638 + 0.0200371i
\(514\) −3594.99 9022.75i −0.308499 0.774274i
\(515\) −6860.49 3174.00i −0.587008 0.271579i
\(516\) 12686.5 2792.50i 1.08235 0.238242i
\(517\) 1263.17 2382.60i 0.107455 0.202682i
\(518\) −3253.30 + 19844.3i −0.275950 + 1.68322i
\(519\) 8809.95 6697.15i 0.745113 0.566420i
\(520\) 6772.57 3133.33i 0.571148 0.264241i
\(521\) 414.066 + 392.224i 0.0348187 + 0.0329820i 0.704911 0.709296i \(-0.250987\pi\)
−0.670092 + 0.742278i \(0.733746\pi\)
\(522\) 104.593 + 637.991i 0.00876997 + 0.0534945i
\(523\) 16039.3 + 5404.27i 1.34101 + 0.451840i 0.896147 0.443758i \(-0.146355\pi\)
0.444865 + 0.895597i \(0.353252\pi\)
\(524\) 15862.7 39812.3i 1.32245 3.31910i
\(525\) 4594.67 4352.31i 0.381958 0.361810i
\(526\) −4103.29 3119.24i −0.340137 0.258565i
\(527\) 24891.8 + 5479.10i 2.05750 + 0.452891i
\(528\) −4743.76 + 5584.79i −0.390996 + 0.460316i
\(529\) 8230.06 + 895.073i 0.676425 + 0.0735657i
\(530\) −3195.83 −0.261921
\(531\) 4050.94 + 474.923i 0.331066 + 0.0388133i
\(532\) 3428.91 0.279440
\(533\) 4510.91 + 490.591i 0.366584 + 0.0398684i
\(534\) 13337.0 15701.5i 1.08080 1.27242i
\(535\) 5726.01 + 1260.39i 0.462723 + 0.101853i
\(536\) 51304.6 + 39000.7i 4.13437 + 3.14287i
\(537\) 7010.21 6640.42i 0.563339 0.533623i
\(538\) 736.757 1849.12i 0.0590406 0.148181i
\(539\) 1123.86 + 378.673i 0.0898110 + 0.0302608i
\(540\) −397.025 2421.75i −0.0316393 0.192991i
\(541\) 9721.23 + 9208.44i 0.772548 + 0.731796i 0.968553 0.248807i \(-0.0800384\pi\)
−0.196005 + 0.980603i \(0.562797\pi\)
\(542\) 9699.10 4487.28i 0.768657 0.355618i
\(543\) −9062.32 + 6888.99i −0.716208 + 0.544447i
\(544\) 5495.95 33523.8i 0.433156 2.64214i
\(545\) −3981.29 + 7509.51i −0.312917 + 0.590224i
\(546\) 8383.19 1845.28i 0.657083 0.144635i
\(547\) 1502.36 + 695.064i 0.117433 + 0.0543305i 0.477726 0.878509i \(-0.341461\pi\)
−0.360293 + 0.932839i \(0.617323\pi\)
\(548\) 13608.1 + 34153.7i 1.06078 + 2.66236i
\(549\) 426.903 + 7873.76i 0.0331872 + 0.612102i
\(550\) 4709.41 + 6945.86i 0.365109 + 0.538495i
\(551\) 76.7283 + 90.3316i 0.00593237 + 0.00698413i
\(552\) −5225.31 9855.97i −0.402905 0.759960i
\(553\) 13624.7 4590.71i 1.04771 0.353014i
\(554\) −8.05280 + 148.525i −0.000617565 + 0.0113903i
\(555\) 2260.75 1360.25i 0.172907 0.104035i
\(556\) −2346.84 8452.55i −0.179007 0.644727i
\(557\) 3214.62 11578.0i 0.244538 0.880747i −0.734761 0.678326i \(-0.762706\pi\)
0.979299 0.202420i \(-0.0648807\pi\)
\(558\) 10430.8 + 6275.99i 0.791345 + 0.476136i
\(559\) 3345.55 4934.32i 0.253134 0.373345i
\(560\) −14973.3 + 1628.44i −1.12989 + 0.122883i
\(561\) 4577.28 497.809i 0.344479 0.0374644i
\(562\) 8418.09 12415.8i 0.631843 0.931898i
\(563\) −8685.11 5225.66i −0.650149 0.391182i 0.151937 0.988390i \(-0.451449\pi\)
−0.802086 + 0.597209i \(0.796276\pi\)
\(564\) −2697.33 + 9714.90i −0.201379 + 0.725303i
\(565\) −2088.27 7521.26i −0.155494 0.560039i
\(566\) −41872.1 + 25193.6i −3.10957 + 1.87097i
\(567\) 89.7863 1656.01i 0.00665022 0.122656i
\(568\) −9556.92 + 3220.10i −0.705985 + 0.237874i
\(569\) −7275.66 13723.4i −0.536049 1.01109i −0.992604 0.121400i \(-0.961262\pi\)
0.456555 0.889695i \(-0.349083\pi\)
\(570\) −411.397 484.334i −0.0302307 0.0355904i
\(571\) 10099.6 + 14895.8i 0.740202 + 1.09172i 0.992281 + 0.124010i \(0.0395754\pi\)
−0.252079 + 0.967707i \(0.581114\pi\)
\(572\) 436.254 + 8046.23i 0.0318893 + 0.588164i
\(573\) −2529.97 6349.74i −0.184452 0.462939i
\(574\) −16527.9 7646.61i −1.20185 0.556034i
\(575\) −6274.73 + 1381.17i −0.455086 + 0.100172i
\(576\) 2306.52 4350.55i 0.166849 0.314710i
\(577\) −1633.72 + 9965.24i −0.117873 + 0.718992i 0.860079 + 0.510161i \(0.170414\pi\)
−0.977952 + 0.208831i \(0.933034\pi\)
\(578\) −20058.0 + 15247.7i −1.44343 + 1.09727i
\(579\) −634.431 + 293.519i −0.0455373 + 0.0210678i
\(580\) −905.661 857.888i −0.0648371 0.0614170i
\(581\) 4041.34 + 24651.1i 0.288577 + 1.76024i
\(582\) −2612.29 880.182i −0.186053 0.0626885i
\(583\) 750.424 1883.42i 0.0533094 0.133797i
\(584\) 4142.16 3923.66i 0.293500 0.278018i
\(585\) −896.597 681.575i −0.0633671 0.0481704i
\(586\) −29246.9 6437.73i −2.06174 0.453823i
\(587\) −7372.19 + 8679.21i −0.518369 + 0.610271i −0.957599 0.288103i \(-0.906975\pi\)
0.439230 + 0.898375i \(0.355251\pi\)
\(588\) −4407.94 479.392i −0.309150 0.0336221i
\(589\) 2231.65 0.156118
\(590\) −9572.95 + 5651.21i −0.667987 + 0.394334i
\(591\) 864.180 0.0601482
\(592\) 29281.2 + 3184.52i 2.03285 + 0.221086i
\(593\) −3939.63 + 4638.09i −0.272818 + 0.321186i −0.881460 0.472259i \(-0.843439\pi\)
0.608642 + 0.793445i \(0.291715\pi\)
\(594\) 2147.66 + 472.735i 0.148349 + 0.0326541i
\(595\) 7534.18 + 5727.33i 0.519111 + 0.394618i
\(596\) −12949.0 + 12265.9i −0.889952 + 0.843008i
\(597\) −1287.79 + 3232.10i −0.0882842 + 0.221577i
\(598\) −8258.13 2782.49i −0.564716 0.190275i
\(599\) −2562.57 15631.0i −0.174798 1.06622i −0.917833 0.396967i \(-0.870063\pi\)
0.743035 0.669252i \(-0.233385\pi\)
\(600\) −13381.9 12676.0i −0.910525 0.862495i
\(601\) −13087.0 + 6054.69i −0.888236 + 0.410942i −0.810299 0.586017i \(-0.800695\pi\)
−0.0779368 + 0.996958i \(0.524833\pi\)
\(602\) −19047.6 + 14479.6i −1.28957 + 0.980308i
\(603\) 1573.57 9598.33i 0.106270 0.648216i
\(604\) 17791.4 33558.2i 1.19855 2.26070i
\(605\) −4983.77 + 1097.01i −0.334908 + 0.0737187i
\(606\) 3275.57 + 1515.44i 0.219573 + 0.101585i
\(607\) 1039.43 + 2608.78i 0.0695045 + 0.174443i 0.959625 0.281282i \(-0.0907595\pi\)
−0.890121 + 0.455725i \(0.849380\pi\)
\(608\) −161.034 2970.10i −0.0107415 0.198115i
\(609\) −473.099 697.770i −0.0314794 0.0464287i
\(610\) −13913.4 16380.1i −0.923501 1.08723i
\(611\) 2167.38 + 4088.11i 0.143507 + 0.270683i
\(612\) −16313.1 + 5496.51i −1.07748 + 0.363045i
\(613\) 589.911 10880.3i 0.0388683 0.716884i −0.912547 0.408973i \(-0.865887\pi\)
0.951415 0.307912i \(-0.0996301\pi\)
\(614\) 22511.6 13544.8i 1.47963 0.890264i
\(615\) 639.226 + 2302.28i 0.0419123 + 0.150955i
\(616\) 5082.96 18307.2i 0.332465 1.19743i
\(617\) 1943.29 + 1169.24i 0.126797 + 0.0762913i 0.577539 0.816363i \(-0.304013\pi\)
−0.450742 + 0.892654i \(0.648841\pi\)
\(618\) −14212.0 + 20961.2i −0.925068 + 1.36437i
\(619\) 9596.64 1043.70i 0.623136 0.0677702i 0.208896 0.977938i \(-0.433013\pi\)
0.414240 + 0.910168i \(0.364047\pi\)
\(620\) −23351.4 + 2539.62i −1.51260 + 0.164506i
\(621\) −944.838 + 1393.53i −0.0610548 + 0.0900491i
\(622\) 9063.25 + 5453.18i 0.584250 + 0.351531i
\(623\) −7186.80 + 25884.5i −0.462172 + 1.66459i
\(624\) −3363.57 12114.5i −0.215786 0.777192i
\(625\) −6743.89 + 4057.67i −0.431609 + 0.259691i
\(626\) 1407.72 25963.8i 0.0898782 1.65771i
\(627\) 382.038 128.724i 0.0243335 0.00819893i
\(628\) −3897.37 7351.23i −0.247647 0.467111i
\(629\) −11981.4 14105.6i −0.759505 0.894158i
\(630\) 2536.63 + 3741.26i 0.160416 + 0.236596i
\(631\) −960.238 17710.5i −0.0605808 1.11735i −0.857909 0.513801i \(-0.828237\pi\)
0.797329 0.603545i \(-0.206246\pi\)
\(632\) −15499.1 38899.8i −0.975509 2.44834i
\(633\) 11647.2 + 5388.56i 0.731333 + 0.338351i
\(634\) −4132.54 + 909.642i −0.258871 + 0.0569819i
\(635\) −3105.56 + 5857.70i −0.194079 + 0.366072i
\(636\) −1226.31 + 7480.13i −0.0764563 + 0.466363i
\(637\) −1619.94 + 1231.44i −0.100760 + 0.0765959i
\(638\) 1014.53 469.372i 0.0629556 0.0291264i
\(639\) 1105.01 + 1046.72i 0.0684091 + 0.0648005i
\(640\) 81.9004 + 499.571i 0.00505844 + 0.0308551i
\(641\) −6149.28 2071.93i −0.378911 0.127670i 0.123400 0.992357i \(-0.460620\pi\)
−0.502311 + 0.864687i \(0.667517\pi\)
\(642\) 7270.54 18247.7i 0.446955 1.12177i
\(643\) −1327.53 + 1257.50i −0.0814195 + 0.0771246i −0.727327 0.686291i \(-0.759238\pi\)
0.645908 + 0.763416i \(0.276479\pi\)
\(644\) 19711.6 + 14984.3i 1.20613 + 0.916873i
\(645\) 3065.86 + 674.848i 0.187160 + 0.0411971i
\(646\) −2885.76 + 3397.38i −0.175756 + 0.206916i
\(647\) −5729.19 623.087i −0.348126 0.0378610i −0.0676142 0.997712i \(-0.521539\pi\)
−0.280512 + 0.959851i \(0.590504\pi\)
\(648\) −4830.20 −0.292821
\(649\) −1082.61 6968.69i −0.0654797 0.421487i
\(650\) −14398.9 −0.868880
\(651\) −15780.7 1716.25i −0.950068 0.103326i
\(652\) −23995.3 + 28249.5i −1.44130 + 1.69683i
\(653\) 25637.3 + 5643.19i 1.53639 + 0.338185i 0.900936 0.433952i \(-0.142881\pi\)
0.635456 + 0.772137i \(0.280812\pi\)
\(654\) 22669.4 + 17232.8i 1.35542 + 1.03036i
\(655\) 7518.97 7122.35i 0.448535 0.424875i
\(656\) −9872.92 + 24779.2i −0.587611 + 1.47479i
\(657\) −816.027 274.952i −0.0484570 0.0163271i
\(658\) −3004.39 18326.0i −0.177999 1.08575i
\(659\) −14693.3 13918.2i −0.868543 0.822727i 0.116828 0.993152i \(-0.462727\pi\)
−0.985371 + 0.170425i \(0.945486\pi\)
\(660\) −3851.05 + 1781.69i −0.227124 + 0.105079i
\(661\) −639.907 + 486.445i −0.0376543 + 0.0286241i −0.623832 0.781558i \(-0.714425\pi\)
0.586178 + 0.810182i \(0.300632\pi\)
\(662\) −1633.50 + 9963.88i −0.0959027 + 0.584981i
\(663\) −3700.47 + 6979.82i −0.216764 + 0.408860i
\(664\) 71053.5 15640.1i 4.15272 0.914084i
\(665\) 752.058 + 347.939i 0.0438550 + 0.0202895i
\(666\) −3271.79 8211.57i −0.190359 0.477765i
\(667\) 46.3344 + 854.587i 0.00268977 + 0.0496098i
\(668\) 29476.5 + 43474.6i 1.70731 + 2.51809i
\(669\) −2590.63 3049.93i −0.149716 0.176259i
\(670\) 12417.4 + 23421.6i 0.716006 + 1.35053i
\(671\) 12920.5 4353.41i 0.743351 0.250464i
\(672\) −1145.44 + 21126.3i −0.0657532 + 1.21275i
\(673\) −26125.7 + 15719.3i −1.49639 + 0.900348i −0.496921 + 0.867796i \(0.665536\pi\)
−0.999470 + 0.0325523i \(0.989636\pi\)
\(674\) −12171.8 43838.9i −0.695610 2.50536i
\(675\) −744.247 + 2680.54i −0.0424386 + 0.152850i
\(676\) 24661.5 + 14838.3i 1.40313 + 0.844238i
\(677\) 9426.53 13903.1i 0.535142 0.789275i −0.459980 0.887929i \(-0.652143\pi\)
0.995122 + 0.0986540i \(0.0314537\pi\)
\(678\) −25998.0 + 2827.45i −1.47264 + 0.160159i
\(679\) 3573.46 388.637i 0.201969 0.0219654i
\(680\) 15468.3 22814.1i 0.872330 1.28659i
\(681\) −14237.0 8566.13i −0.801121 0.482019i
\(682\) 5631.02 20281.1i 0.316163 1.13872i
\(683\) −3569.20 12855.1i −0.199959 0.720186i −0.993714 0.111949i \(-0.964291\pi\)
0.793755 0.608237i \(-0.208123\pi\)
\(684\) −1291.49 + 777.064i −0.0721950 + 0.0434383i
\(685\) −481.010 + 8871.71i −0.0268299 + 0.494848i
\(686\) −27093.1 + 9128.72i −1.50790 + 0.508070i
\(687\) 2727.34 + 5144.31i 0.151462 + 0.285688i
\(688\) 22687.6 + 26709.9i 1.25720 + 1.48009i
\(689\) 1952.19 + 2879.26i 0.107943 + 0.159203i
\(690\) −248.433 4582.07i −0.0137068 0.252806i
\(691\) −10742.6 26961.8i −0.591413 1.48433i −0.854442 0.519547i \(-0.826101\pi\)
0.263029 0.964788i \(-0.415279\pi\)
\(692\) 64927.2 + 30038.5i 3.56671 + 1.65013i
\(693\) −2800.50 + 616.437i −0.153510 + 0.0337900i
\(694\) −10118.8 + 19086.1i −0.553464 + 1.04394i
\(695\) 342.970 2092.03i 0.0187188 0.114180i
\(696\) −1954.67 + 1485.90i −0.106453 + 0.0809237i
\(697\) 15211.3 7037.49i 0.826640 0.382445i
\(698\) −35727.3 33842.7i −1.93739 1.83519i
\(699\) 567.549 + 3461.89i 0.0307105 + 0.187326i
\(700\) 38770.8 + 13063.4i 2.09343 + 0.705357i
\(701\) 2898.84 7275.53i 0.156188 0.392001i −0.829971 0.557807i \(-0.811643\pi\)
0.986159 + 0.165805i \(0.0530223\pi\)
\(702\) −2739.33 + 2594.83i −0.147278 + 0.139509i
\(703\) −1290.04 980.663i −0.0692102 0.0526123i
\(704\) −8315.09 1830.29i −0.445152 0.0979853i
\(705\) −1577.39 + 1857.05i −0.0842668 + 0.0992065i
\(706\) −9075.33 987.002i −0.483788 0.0526152i
\(707\) −4706.26 −0.250349
\(708\) 9553.85 + 24574.9i 0.507141 + 1.30449i
\(709\) −1624.73 −0.0860620 −0.0430310 0.999074i \(-0.513701\pi\)
−0.0430310 + 0.999074i \(0.513701\pi\)
\(710\) −4124.08 448.521i −0.217992 0.0237080i
\(711\) −4091.37 + 4816.74i −0.215807 + 0.254067i
\(712\) 76410.9 + 16819.3i 4.02194 + 0.885296i
\(713\) 12829.0 + 9752.34i 0.673842 + 0.512241i
\(714\) 23018.8 21804.6i 1.20652 1.14288i
\(715\) −720.786 + 1809.04i −0.0377005 + 0.0946212i
\(716\) 59153.6 + 19931.2i 3.08753 + 1.04031i
\(717\) −1824.69 11130.1i −0.0950411 0.579725i
\(718\) 9817.11 + 9299.26i 0.510267 + 0.483350i
\(719\) −22647.1 + 10477.7i −1.17468 + 0.543464i −0.907446 0.420168i \(-0.861971\pi\)
−0.267232 + 0.963632i \(0.586109\pi\)
\(720\) 5270.62 4006.62i 0.272811 0.207386i
\(721\) 5342.57 32588.2i 0.275961 1.68329i
\(722\) 16632.7 31372.5i 0.857345 1.61712i
\(723\) −13254.9 + 2917.62i −0.681818 + 0.150079i
\(724\) −66787.1 30899.0i −3.42835 1.58612i
\(725\) 523.426 + 1313.70i 0.0268132 + 0.0672960i
\(726\) 925.589 + 17071.5i 0.0473166 + 0.872703i
\(727\) 11161.9 + 16462.5i 0.569423 + 0.839836i 0.997970 0.0636837i \(-0.0202849\pi\)
−0.428548 + 0.903519i \(0.640975\pi\)
\(728\) 21104.8 + 24846.5i 1.07445 + 1.26494i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 2224.10 749.386i 0.112764 0.0379946i
\(731\) 1192.16 21988.1i 0.0603197 1.11253i
\(732\) −43678.0 + 26280.2i −2.20544 + 1.32697i
\(733\) 6115.75 + 22026.9i 0.308172 + 1.10994i 0.941766 + 0.336270i \(0.109166\pi\)
−0.633593 + 0.773666i \(0.718421\pi\)
\(734\) −1242.58 + 4475.38i −0.0624858 + 0.225054i
\(735\) −918.141 552.427i −0.0460764 0.0277233i
\(736\) 12053.6 17777.8i 0.603672 0.890350i
\(737\) −16719.0 + 1818.30i −0.835621 + 0.0908793i
\(738\) 7958.07 865.492i 0.396938 0.0431697i
\(739\) −10784.7 + 15906.3i −0.536838 + 0.791777i −0.995290 0.0969422i \(-0.969094\pi\)
0.458452 + 0.888719i \(0.348404\pi\)
\(740\) 14614.6 + 8793.32i 0.726006 + 0.436823i
\(741\) −185.054 + 666.504i −0.00917426 + 0.0330427i
\(742\) −3735.09 13452.6i −0.184797 0.665579i
\(743\) 23795.2 14317.1i 1.17492 0.706923i 0.212143 0.977239i \(-0.431956\pi\)
0.962772 + 0.270316i \(0.0871280\pi\)
\(744\) −2502.96 + 46164.3i −0.123337 + 2.27482i
\(745\) −4084.74 + 1376.31i −0.200877 + 0.0676833i
\(746\) 23615.0 + 44542.5i 1.15899 + 2.18608i
\(747\) −7108.62 8368.92i −0.348181 0.409910i
\(748\) 16703.3 + 24635.6i 0.816489 + 1.20423i
\(749\) 1386.70 + 25576.2i 0.0676488 + 1.24771i
\(750\) −6211.24 15589.0i −0.302403 0.758974i
\(751\) −22785.0 10541.5i −1.10711 0.512202i −0.220808 0.975317i \(-0.570869\pi\)
−0.886298 + 0.463115i \(0.846732\pi\)
\(752\) −26564.4 + 5847.26i −1.28817 + 0.283548i
\(753\) −3567.63 + 6729.26i −0.172658 + 0.325668i
\(754\) −310.302 + 1892.76i −0.0149874 + 0.0914193i
\(755\) 7307.39 5554.93i 0.352242 0.267768i
\(756\) 9730.12 4501.63i 0.468096 0.216564i
\(757\) −29205.4 27664.8i −1.40223 1.32826i −0.879609 0.475697i \(-0.842196\pi\)
−0.522620 0.852566i \(-0.675045\pi\)
\(758\) −5550.59 33857.1i −0.265971 1.62235i
\(759\) 2758.72 + 929.522i 0.131931 + 0.0444526i
\(760\) 893.298 2242.01i 0.0426360 0.107008i
\(761\) 19531.7 18501.4i 0.930384 0.881306i −0.0627811 0.998027i \(-0.519997\pi\)
0.993165 + 0.116721i \(0.0372384\pi\)
\(762\) 17683.0 + 13442.2i 0.840664 + 0.639056i
\(763\) −36263.7 7982.25i −1.72062 0.378738i
\(764\) 28605.5 33677.0i 1.35459 1.59475i
\(765\) −4135.67 449.781i −0.195458 0.0212573i
\(766\) −61856.0 −2.91769
\(767\) 10939.1 + 5172.62i 0.514979 + 0.243511i
\(768\) −11435.1 −0.537275
\(769\) 20432.4 + 2222.15i 0.958140 + 0.104204i 0.573807 0.818991i \(-0.305466\pi\)
0.384333 + 0.923195i \(0.374432\pi\)
\(770\) 5059.68 5956.71i 0.236803 0.278786i
\(771\) −5436.98 1196.77i −0.253966 0.0559022i