Properties

Label 177.4.e.a.4.2
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 4.2
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.95061 - 0.538411i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(16.4057 + 3.61116i) q^{4} +(10.7888 + 8.20142i) q^{5} +(10.8459 - 10.2738i) q^{6} +(11.1308 - 27.9361i) q^{7} +(-41.5207 - 13.9900i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-4.95061 - 0.538411i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(16.4057 + 3.61116i) q^{4} +(10.7888 + 8.20142i) q^{5} +(10.8459 - 10.2738i) q^{6} +(11.1308 - 27.9361i) q^{7} +(-41.5207 - 13.9900i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-48.9953 - 46.4108i) q^{10} +(22.1794 - 10.2613i) q^{11} +(-40.1193 + 30.4979i) q^{12} +(-3.00494 + 18.3293i) q^{13} +(-70.1451 + 132.308i) q^{14} +(-39.7060 + 8.73994i) q^{15} +(76.0539 + 35.1863i) q^{16} +(35.3205 + 88.6477i) q^{17} +(2.42641 + 44.7525i) q^{18} +(-89.9954 - 132.733i) q^{19} +(147.381 + 173.510i) q^{20} +(42.2578 + 79.7067i) q^{21} +(-115.326 + 38.8579i) q^{22} +(10.2146 - 188.397i) q^{23} +(112.628 - 67.7658i) q^{24} +(15.6935 + 56.5230i) q^{25} +(24.7450 - 89.1235i) q^{26} +(23.1351 + 13.9200i) q^{27} +(283.489 - 418.115i) q^{28} +(-204.072 + 22.1941i) q^{29} +(201.274 - 21.8899i) q^{30} +(38.9665 - 57.4712i) q^{31} +(-57.2279 - 34.4329i) q^{32} +(-19.6136 + 70.6419i) q^{33} +(-127.129 - 457.877i) q^{34} +(349.203 - 210.108i) q^{35} +(8.18502 - 150.964i) q^{36} +(384.432 - 129.530i) q^{37} +(374.067 + 705.565i) q^{38} +(-36.0737 - 42.4693i) q^{39} +(-333.221 - 491.464i) q^{40} +(-1.15380 - 21.2805i) q^{41} +(-166.287 - 417.348i) q^{42} +(105.084 + 48.6172i) q^{43} +(400.923 - 88.2498i) q^{44} +(57.1315 - 107.762i) q^{45} +(-152.003 + 927.179i) q^{46} +(-42.6787 + 32.4435i) q^{47} +(-228.162 + 105.559i) q^{48} +(-407.515 - 386.019i) q^{49} +(-47.2599 - 288.273i) q^{50} +(-271.290 - 91.4082i) q^{51} +(-115.488 + 289.854i) q^{52} +(105.019 - 99.4794i) q^{53} +(-107.038 - 81.3684i) q^{54} +(323.446 + 71.1958i) q^{55} +(-852.982 + 1004.21i) q^{56} +(478.278 + 52.0159i) q^{57} +1022.23 q^{58} +(434.478 - 128.871i) q^{59} -682.964 q^{60} +(156.585 + 17.0296i) q^{61} +(-223.851 + 263.538i) q^{62} +(-264.320 - 58.1811i) q^{63} +(-268.921 - 204.428i) q^{64} +(-182.746 + 173.107i) q^{65} +(135.134 - 339.160i) q^{66} +(405.101 + 136.494i) q^{67} +(259.335 + 1581.87i) q^{68} +(410.929 + 389.252i) q^{69} +(-1841.89 + 852.150i) q^{70} +(11.4962 - 8.73921i) q^{71} +(-63.7952 + 389.134i) q^{72} +(397.204 - 749.207i) q^{73} +(-1972.91 + 434.270i) q^{74} +(-159.718 - 73.8936i) q^{75} +(-997.113 - 2502.56i) q^{76} +(-39.7866 - 733.822i) q^{77} +(155.721 + 229.671i) q^{78} +(442.726 + 521.217i) q^{79} +(531.952 + 1003.37i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-5.74567 + 105.973i) q^{82} +(-1041.44 + 626.612i) q^{83} +(405.434 + 1460.24i) q^{84} +(-345.972 + 1246.08i) q^{85} +(-494.056 - 297.263i) q^{86} +(345.593 - 509.712i) q^{87} +(-1064.46 + 115.767i) q^{88} +(142.103 - 15.4547i) q^{89} +(-340.856 + 502.725i) q^{90} +(478.603 + 287.966i) q^{91} +(847.908 - 3053.89i) q^{92} +(55.7281 + 200.715i) q^{93} +(228.753 - 137.636i) q^{94} +(117.661 - 2170.12i) q^{95} +(189.876 - 63.9766i) q^{96} +(589.244 + 1111.43i) q^{97} +(1809.61 + 2130.44i) q^{98} +(-123.429 - 182.044i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.95061 0.538411i −1.75030 0.190357i −0.823861 0.566792i \(-0.808184\pi\)
−0.926443 + 0.376435i \(0.877150\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 16.4057 + 3.61116i 2.05071 + 0.451395i
\(5\) 10.7888 + 8.20142i 0.964978 + 0.733557i 0.963851 0.266442i \(-0.0858481\pi\)
0.00112729 + 0.999999i \(0.499641\pi\)
\(6\) 10.8459 10.2738i 0.737972 0.699045i
\(7\) 11.1308 27.9361i 0.601004 1.50841i −0.241876 0.970307i \(-0.577763\pi\)
0.842881 0.538100i \(-0.180858\pi\)
\(8\) −41.5207 13.9900i −1.83497 0.618275i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −48.9953 46.4108i −1.54937 1.46764i
\(11\) 22.1794 10.2613i 0.607940 0.281263i −0.0916683 0.995790i \(-0.529220\pi\)
0.699608 + 0.714527i \(0.253358\pi\)
\(12\) −40.1193 + 30.4979i −0.965120 + 0.733665i
\(13\) −3.00494 + 18.3293i −0.0641093 + 0.391050i 0.935208 + 0.354099i \(0.115213\pi\)
−0.999317 + 0.0369502i \(0.988236\pi\)
\(14\) −70.1451 + 132.308i −1.33908 + 2.52577i
\(15\) −39.7060 + 8.73994i −0.683469 + 0.150443i
\(16\) 76.0539 + 35.1863i 1.18834 + 0.549786i
\(17\) 35.3205 + 88.6477i 0.503910 + 1.26472i 0.932484 + 0.361213i \(0.117637\pi\)
−0.428573 + 0.903507i \(0.640984\pi\)
\(18\) 2.42641 + 44.7525i 0.0317728 + 0.586014i
\(19\) −89.9954 132.733i −1.08665 1.60269i −0.750486 0.660886i \(-0.770180\pi\)
−0.336165 0.941803i \(-0.609130\pi\)
\(20\) 147.381 + 173.510i 1.64776 + 1.93990i
\(21\) 42.2578 + 79.7067i 0.439115 + 0.828258i
\(22\) −115.326 + 38.8579i −1.11762 + 0.376570i
\(23\) 10.2146 188.397i 0.0926038 1.70798i −0.471166 0.882045i \(-0.656167\pi\)
0.563770 0.825932i \(-0.309351\pi\)
\(24\) 112.628 67.7658i 0.957918 0.576360i
\(25\) 15.6935 + 56.5230i 0.125548 + 0.452184i
\(26\) 24.7450 89.1235i 0.186650 0.672252i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) 283.489 418.115i 1.91337 2.82201i
\(29\) −204.072 + 22.1941i −1.30673 + 0.142116i −0.734855 0.678225i \(-0.762750\pi\)
−0.571876 + 0.820340i \(0.693784\pi\)
\(30\) 201.274 21.8899i 1.22492 0.133218i
\(31\) 38.9665 57.4712i 0.225761 0.332972i −0.697892 0.716203i \(-0.745878\pi\)
0.923653 + 0.383231i \(0.125189\pi\)
\(32\) −57.2279 34.4329i −0.316142 0.190217i
\(33\) −19.6136 + 70.6419i −0.103463 + 0.372642i
\(34\) −127.129 457.877i −0.641248 2.30957i
\(35\) 349.203 210.108i 1.68646 1.01471i
\(36\) 8.18502 150.964i 0.0378936 0.698907i
\(37\) 384.432 129.530i 1.70811 0.575530i 0.715692 0.698416i \(-0.246111\pi\)
0.992421 + 0.122886i \(0.0392149\pi\)
\(38\) 374.067 + 705.565i 1.59689 + 3.01205i
\(39\) −36.0737 42.4693i −0.148113 0.174372i
\(40\) −333.221 491.464i −1.31717 1.94268i
\(41\) −1.15380 21.2805i −0.00439494 0.0810599i 0.995513 0.0946243i \(-0.0301650\pi\)
−0.999908 + 0.0135643i \(0.995682\pi\)
\(42\) −166.287 417.348i −0.610919 1.53329i
\(43\) 105.084 + 48.6172i 0.372680 + 0.172420i 0.597283 0.802030i \(-0.296247\pi\)
−0.224604 + 0.974450i \(0.572109\pi\)
\(44\) 400.923 88.2498i 1.37367 0.302367i
\(45\) 57.1315 107.762i 0.189259 0.356981i
\(46\) −152.003 + 927.179i −0.487210 + 2.97185i
\(47\) −42.6787 + 32.4435i −0.132454 + 0.100689i −0.669303 0.742989i \(-0.733407\pi\)
0.536850 + 0.843678i \(0.319614\pi\)
\(48\) −228.162 + 105.559i −0.686090 + 0.317419i
\(49\) −407.515 386.019i −1.18809 1.12542i
\(50\) −47.2599 288.273i −0.133671 0.815358i
\(51\) −271.290 91.4082i −0.744866 0.250975i
\(52\) −115.488 + 289.854i −0.307987 + 0.772990i
\(53\) 105.019 99.4794i 0.272179 0.257822i −0.539420 0.842037i \(-0.681356\pi\)
0.811599 + 0.584216i \(0.198598\pi\)
\(54\) −107.038 81.3684i −0.269742 0.205053i
\(55\) 323.446 + 71.1958i 0.792971 + 0.174546i
\(56\) −852.982 + 1004.21i −2.03544 + 2.39630i
\(57\) 478.278 + 52.0159i 1.11139 + 0.120871i
\(58\) 1022.23 2.31423
\(59\) 434.478 128.871i 0.958716 0.284367i
\(60\) −682.964 −1.46950
\(61\) 156.585 + 17.0296i 0.328666 + 0.0357446i 0.270965 0.962589i \(-0.412657\pi\)
0.0577013 + 0.998334i \(0.481623\pi\)
\(62\) −223.851 + 263.538i −0.458534 + 0.539828i
\(63\) −264.320 58.1811i −0.528589 0.116351i
\(64\) −268.921 204.428i −0.525236 0.399274i
\(65\) −182.746 + 173.107i −0.348721 + 0.330327i
\(66\) 135.134 339.160i 0.252028 0.632541i
\(67\) 405.101 + 136.494i 0.738671 + 0.248887i 0.663389 0.748275i \(-0.269118\pi\)
0.0752826 + 0.997162i \(0.476014\pi\)
\(68\) 259.335 + 1581.87i 0.462485 + 2.82103i
\(69\) 410.929 + 389.252i 0.716956 + 0.679137i
\(70\) −1841.89 + 852.150i −3.14497 + 1.45502i
\(71\) 11.4962 8.73921i 0.0192162 0.0146078i −0.595522 0.803339i \(-0.703055\pi\)
0.614738 + 0.788731i \(0.289262\pi\)
\(72\) −63.7952 + 389.134i −0.104421 + 0.636942i
\(73\) 397.204 749.207i 0.636839 1.20121i −0.329554 0.944137i \(-0.606898\pi\)
0.966393 0.257069i \(-0.0827567\pi\)
\(74\) −1972.91 + 434.270i −3.09927 + 0.682202i
\(75\) −159.718 73.8936i −0.245902 0.113767i
\(76\) −997.113 2502.56i −1.50496 3.77716i
\(77\) −39.7866 733.822i −0.0588845 1.08606i
\(78\) 155.721 + 229.671i 0.226050 + 0.333399i
\(79\) 442.726 + 521.217i 0.630513 + 0.742297i 0.980944 0.194291i \(-0.0622407\pi\)
−0.350431 + 0.936589i \(0.613965\pi\)
\(80\) 531.952 + 1003.37i 0.743425 + 1.40225i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −5.74567 + 105.973i −0.00773784 + 0.142716i
\(83\) −1041.44 + 626.612i −1.37726 + 0.828670i −0.995424 0.0955603i \(-0.969536\pi\)
−0.381836 + 0.924230i \(0.624708\pi\)
\(84\) 405.434 + 1460.24i 0.526624 + 1.89673i
\(85\) −345.972 + 1246.08i −0.441482 + 1.59007i
\(86\) −494.056 297.263i −0.619481 0.372730i
\(87\) 345.593 509.712i 0.425879 0.628125i
\(88\) −1064.46 + 115.767i −1.28945 + 0.140236i
\(89\) 142.103 15.4547i 0.169246 0.0184066i −0.0231034 0.999733i \(-0.507355\pi\)
0.192350 + 0.981326i \(0.438389\pi\)
\(90\) −340.856 + 502.725i −0.399215 + 0.588798i
\(91\) 478.603 + 287.966i 0.551332 + 0.331726i
\(92\) 847.908 3053.89i 0.960875 3.46076i
\(93\) 55.7281 + 200.715i 0.0621370 + 0.223797i
\(94\) 228.753 137.636i 0.251001 0.151022i
\(95\) 117.661 2170.12i 0.127071 2.34368i
\(96\) 189.876 63.9766i 0.201866 0.0680165i
\(97\) 589.244 + 1111.43i 0.616790 + 1.16339i 0.973395 + 0.229134i \(0.0735895\pi\)
−0.356605 + 0.934255i \(0.616066\pi\)
\(98\) 1809.61 + 2130.44i 1.86529 + 2.19599i
\(99\) −123.429 182.044i −0.125304 0.184809i
\(100\) 53.3492 + 983.969i 0.0533492 + 0.983969i
\(101\) −535.746 1344.62i −0.527809 1.32470i −0.915280 0.402819i \(-0.868030\pi\)
0.387471 0.921882i \(-0.373349\pi\)
\(102\) 1293.83 + 598.591i 1.25597 + 0.581072i
\(103\) 514.109 113.164i 0.491812 0.108256i 0.0378617 0.999283i \(-0.487945\pi\)
0.453950 + 0.891027i \(0.350014\pi\)
\(104\) 381.194 719.008i 0.359415 0.677929i
\(105\) −197.798 + 1206.51i −0.183839 + 1.12137i
\(106\) −573.469 + 435.940i −0.525474 + 0.399455i
\(107\) −157.334 + 72.7905i −0.142150 + 0.0657656i −0.489675 0.871905i \(-0.662884\pi\)
0.347524 + 0.937671i \(0.387022\pi\)
\(108\) 329.280 + 311.911i 0.293380 + 0.277904i
\(109\) −49.4707 301.758i −0.0434718 0.265166i 0.956144 0.292898i \(-0.0946198\pi\)
−0.999615 + 0.0277320i \(0.991172\pi\)
\(110\) −1562.92 526.609i −1.35471 0.456457i
\(111\) −450.459 + 1130.57i −0.385186 + 0.966744i
\(112\) 1829.50 1733.00i 1.54350 1.46208i
\(113\) 728.345 + 553.673i 0.606344 + 0.460931i 0.862745 0.505640i \(-0.168743\pi\)
−0.256400 + 0.966571i \(0.582537\pi\)
\(114\) −2339.76 515.020i −1.92227 0.423124i
\(115\) 1655.33 1948.80i 1.34226 1.58023i
\(116\) −3428.08 372.826i −2.74387 0.298414i
\(117\) 167.166 0.132090
\(118\) −2220.32 + 404.064i −1.73217 + 0.315230i
\(119\) 2869.61 2.21056
\(120\) 1770.89 + 192.596i 1.34716 + 0.146513i
\(121\) −475.039 + 559.260i −0.356904 + 0.420180i
\(122\) −766.020 168.614i −0.568461 0.125128i
\(123\) 50.8985 + 38.6920i 0.0373119 + 0.0283637i
\(124\) 846.809 802.140i 0.613271 0.580922i
\(125\) 332.767 835.182i 0.238109 0.597608i
\(126\) 1277.22 + 430.344i 0.903044 + 0.304271i
\(127\) −98.3083 599.654i −0.0686886 0.418982i −0.998678 0.0513965i \(-0.983633\pi\)
0.929990 0.367586i \(-0.119815\pi\)
\(128\) 1609.16 + 1524.27i 1.11118 + 1.05256i
\(129\) −315.253 + 145.852i −0.215167 + 0.0995467i
\(130\) 997.908 758.590i 0.673249 0.511790i
\(131\) 102.833 627.253i 0.0685844 0.418346i −0.930111 0.367279i \(-0.880289\pi\)
0.998695 0.0510672i \(-0.0162623\pi\)
\(132\) −576.874 + 1088.10i −0.380382 + 0.717477i
\(133\) −4709.77 + 1036.70i −3.07059 + 0.675888i
\(134\) −1932.01 893.842i −1.24552 0.576240i
\(135\) 135.437 + 339.920i 0.0863447 + 0.216709i
\(136\) −226.354 4174.85i −0.142718 2.63228i
\(137\) 264.250 + 389.740i 0.164791 + 0.243049i 0.901115 0.433581i \(-0.142750\pi\)
−0.736323 + 0.676630i \(0.763440\pi\)
\(138\) −1824.77 2148.28i −1.12561 1.32517i
\(139\) −714.621 1347.92i −0.436067 0.822510i 0.563927 0.825824i \(-0.309290\pi\)
−0.999995 + 0.00331460i \(0.998945\pi\)
\(140\) 6487.64 2185.94i 3.91647 1.31961i
\(141\) 8.70719 160.595i 0.00520055 0.0959186i
\(142\) −61.6186 + 37.0747i −0.0364149 + 0.0219101i
\(143\) 121.435 + 437.368i 0.0710132 + 0.255766i
\(144\) 201.767 726.701i 0.116764 0.420544i
\(145\) −2383.71 1434.23i −1.36522 0.821424i
\(146\) −2369.78 + 3495.17i −1.34332 + 1.98125i
\(147\) 1674.09 182.068i 0.939294 0.102154i
\(148\) 6774.61 736.783i 3.76263 0.409211i
\(149\) 563.451 831.027i 0.309796 0.456916i −0.640637 0.767844i \(-0.721330\pi\)
0.950433 + 0.310928i \(0.100640\pi\)
\(150\) 750.918 + 451.812i 0.408748 + 0.245935i
\(151\) −649.242 + 2338.36i −0.349898 + 1.26022i 0.554017 + 0.832505i \(0.313094\pi\)
−0.903915 + 0.427712i \(0.859320\pi\)
\(152\) 1879.74 + 6770.21i 1.00307 + 3.61274i
\(153\) 735.891 442.771i 0.388845 0.233960i
\(154\) −198.130 + 3654.28i −0.103674 + 1.91215i
\(155\) 891.747 300.464i 0.462109 0.155702i
\(156\) −438.450 827.004i −0.225026 0.424444i
\(157\) 717.406 + 844.596i 0.364683 + 0.429338i 0.913647 0.406508i \(-0.133254\pi\)
−0.548964 + 0.835846i \(0.684978\pi\)
\(158\) −1911.13 2818.71i −0.962288 1.41927i
\(159\) 23.4944 + 433.329i 0.0117184 + 0.216134i
\(160\) −335.021 840.839i −0.165536 0.415463i
\(161\) −5149.38 2382.36i −2.52067 1.16619i
\(162\) 393.933 86.7113i 0.191051 0.0420536i
\(163\) 1369.82 2583.75i 0.658237 1.24157i −0.299548 0.954081i \(-0.596836\pi\)
0.957785 0.287485i \(-0.0928192\pi\)
\(164\) 57.9185 353.287i 0.0275773 0.168214i
\(165\) −790.971 + 601.281i −0.373194 + 0.283695i
\(166\) 5493.12 2541.39i 2.56837 1.18825i
\(167\) −0.300434 0.284587i −0.000139211 0.000131868i 0.687630 0.726061i \(-0.258651\pi\)
−0.687769 + 0.725930i \(0.741410\pi\)
\(168\) −639.481 3900.66i −0.293673 1.79133i
\(169\) 1755.06 + 591.348i 0.798843 + 0.269162i
\(170\) 2383.68 5982.57i 1.07541 2.69907i
\(171\) −1047.83 + 992.553i −0.468592 + 0.443874i
\(172\) 1548.41 + 1177.07i 0.686427 + 0.521809i
\(173\) 146.757 + 32.3036i 0.0644955 + 0.0141965i 0.247101 0.968990i \(-0.420522\pi\)
−0.182605 + 0.983186i \(0.558453\pi\)
\(174\) −1985.33 + 2337.31i −0.864986 + 1.01834i
\(175\) 1753.71 + 190.728i 0.757533 + 0.0823866i
\(176\) 2047.89 0.877075
\(177\) −549.162 + 1243.72i −0.233207 + 0.528155i
\(178\) −711.819 −0.299736
\(179\) 275.156 + 29.9250i 0.114894 + 0.0124955i 0.165386 0.986229i \(-0.447113\pi\)
−0.0504912 + 0.998725i \(0.516079\pi\)
\(180\) 1326.42 1561.59i 0.549255 0.646633i
\(181\) −2747.12 604.686i −1.12813 0.248320i −0.388576 0.921417i \(-0.627033\pi\)
−0.739554 + 0.673097i \(0.764964\pi\)
\(182\) −2214.33 1683.29i −0.901853 0.685570i
\(183\) −343.050 + 324.955i −0.138574 + 0.131264i
\(184\) −3059.78 + 7679.47i −1.22592 + 3.07684i
\(185\) 5209.88 + 1755.41i 2.07048 + 0.697625i
\(186\) −167.821 1023.66i −0.0661572 0.403541i
\(187\) 1693.03 + 1603.72i 0.662066 + 0.627142i
\(188\) −817.331 + 378.138i −0.317074 + 0.146694i
\(189\) 646.381 491.366i 0.248769 0.189109i
\(190\) −1750.91 + 10680.1i −0.668549 + 4.07797i
\(191\) −1295.95 + 2444.43i −0.490952 + 0.926034i 0.506992 + 0.861951i \(0.330757\pi\)
−0.997945 + 0.0640837i \(0.979588\pi\)
\(192\) 989.709 217.851i 0.372011 0.0818858i
\(193\) −818.545 378.699i −0.305286 0.141240i 0.261265 0.965267i \(-0.415860\pi\)
−0.566551 + 0.824027i \(0.691722\pi\)
\(194\) −2318.71 5819.52i −0.858111 2.15370i
\(195\) −40.8833 754.047i −0.0150139 0.276915i
\(196\) −5291.58 7804.50i −1.92842 2.84420i
\(197\) 1059.86 + 1247.77i 0.383310 + 0.451267i 0.919653 0.392733i \(-0.128470\pi\)
−0.536343 + 0.844000i \(0.680194\pi\)
\(198\) 513.034 + 967.685i 0.184140 + 0.347325i
\(199\) −4272.63 + 1439.62i −1.52200 + 0.512822i −0.951282 0.308322i \(-0.900232\pi\)
−0.570720 + 0.821145i \(0.693336\pi\)
\(200\) 139.148 2566.43i 0.0491961 0.907369i
\(201\) −1098.86 + 661.164i −0.385611 + 0.232015i
\(202\) 1928.31 + 6945.14i 0.671660 + 2.41910i
\(203\) −1651.46 + 5948.01i −0.570983 + 2.05649i
\(204\) −4120.60 2479.28i −1.41421 0.850904i
\(205\) 162.082 239.054i 0.0552211 0.0814450i
\(206\) −2606.08 + 283.428i −0.881428 + 0.0958611i
\(207\) −1688.11 + 183.593i −0.566819 + 0.0616453i
\(208\) −873.479 + 1288.29i −0.291177 + 0.429454i
\(209\) −3358.06 2020.48i −1.11140 0.668705i
\(210\) 1628.82 5866.47i 0.535234 1.92774i
\(211\) 907.831 + 3269.71i 0.296198 + 1.06681i 0.950538 + 0.310607i \(0.100532\pi\)
−0.654341 + 0.756200i \(0.727054\pi\)
\(212\) 2082.14 1252.78i 0.674539 0.405856i
\(213\) −2.34543 + 43.2589i −0.000754489 + 0.0139157i
\(214\) 818.091 275.647i 0.261325 0.0880506i
\(215\) 735.003 + 1386.36i 0.233148 + 0.439763i
\(216\) −765.848 901.626i −0.241247 0.284018i
\(217\) −1171.80 1728.27i −0.366575 0.540657i
\(218\) 82.4402 + 1520.52i 0.0256126 + 0.472397i
\(219\) 941.617 + 2363.28i 0.290541 + 0.729204i
\(220\) 5049.24 + 2336.03i 1.54736 + 0.715886i
\(221\) −1730.99 + 381.020i −0.526874 + 0.115974i
\(222\) 2838.75 5354.46i 0.858219 1.61877i
\(223\) −613.163 + 3740.13i −0.184128 + 1.12313i 0.719399 + 0.694597i \(0.244417\pi\)
−0.903527 + 0.428532i \(0.859031\pi\)
\(224\) −1598.91 + 1215.46i −0.476927 + 0.362550i
\(225\) 479.155 221.681i 0.141972 0.0656832i
\(226\) −3307.64 3133.17i −0.973545 0.922191i
\(227\) −124.149 757.278i −0.0362999 0.221420i 0.962447 0.271471i \(-0.0875100\pi\)
−0.998747 + 0.0500508i \(0.984062\pi\)
\(228\) 7658.63 + 2580.49i 2.22458 + 0.749550i
\(229\) 2403.06 6031.24i 0.693445 1.74042i 0.0215529 0.999768i \(-0.493139\pi\)
0.671892 0.740649i \(-0.265482\pi\)
\(230\) −9244.12 + 8756.50i −2.65017 + 2.51037i
\(231\) 1755.14 + 1334.23i 0.499914 + 0.380024i
\(232\) 8783.70 + 1933.44i 2.48568 + 0.547140i
\(233\) −2264.49 + 2665.96i −0.636701 + 0.749583i −0.981994 0.188912i \(-0.939504\pi\)
0.345293 + 0.938495i \(0.387780\pi\)
\(234\) −827.575 90.0042i −0.231198 0.0251443i
\(235\) −726.534 −0.201676
\(236\) 7593.27 545.253i 2.09441 0.150394i
\(237\) −2051.60 −0.562302
\(238\) −14206.3 1545.03i −3.86916 0.420796i
\(239\) −799.457 + 941.194i −0.216371 + 0.254731i −0.859630 0.510917i \(-0.829306\pi\)
0.643259 + 0.765648i \(0.277582\pi\)
\(240\) −3327.32 732.399i −0.894907 0.196984i
\(241\) 2660.47 + 2022.44i 0.711103 + 0.540566i 0.897015 0.442000i \(-0.145731\pi\)
−0.185912 + 0.982566i \(0.559524\pi\)
\(242\) 2652.85 2512.91i 0.704675 0.667504i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) 2507.38 + 844.834i 0.657863 + 0.221660i
\(245\) −1230.69 7506.88i −0.320922 1.95754i
\(246\) −231.146 218.953i −0.0599079 0.0567477i
\(247\) 2703.35 1250.70i 0.696396 0.322187i
\(248\) −2421.94 + 1841.11i −0.620133 + 0.471413i
\(249\) 589.897 3598.21i 0.150133 0.915773i
\(250\) −2097.07 + 3955.49i −0.530521 + 1.00067i
\(251\) 4254.55 936.497i 1.06990 0.235503i 0.355097 0.934829i \(-0.384448\pi\)
0.714802 + 0.699327i \(0.246517\pi\)
\(252\) −4126.23 1909.00i −1.03146 0.477205i
\(253\) −1706.64 4283.34i −0.424093 1.06439i
\(254\) 163.825 + 3021.58i 0.0404698 + 0.746421i
\(255\) −2177.21 3211.15i −0.534675 0.788587i
\(256\) −5396.12 6352.80i −1.31741 1.55098i
\(257\) 2621.06 + 4943.85i 0.636176 + 1.19996i 0.966640 + 0.256137i \(0.0824499\pi\)
−0.330464 + 0.943819i \(0.607205\pi\)
\(258\) 1639.22 552.319i 0.395557 0.133279i
\(259\) 660.450 12181.3i 0.158449 2.92243i
\(260\) −3623.19 + 2180.00i −0.864234 + 0.519992i
\(261\) 494.252 + 1780.14i 0.117216 + 0.422175i
\(262\) −846.805 + 3049.92i −0.199679 + 0.719177i
\(263\) −6923.03 4165.45i −1.62316 0.976625i −0.976950 0.213469i \(-0.931524\pi\)
−0.646214 0.763156i \(-0.723649\pi\)
\(264\) 1802.65 2658.71i 0.420248 0.619819i
\(265\) 1948.90 211.956i 0.451774 0.0491333i
\(266\) 23874.4 2596.49i 5.50313 0.598501i
\(267\) −240.650 + 354.933i −0.0551594 + 0.0813540i
\(268\) 6153.05 + 3702.17i 1.40245 + 0.843828i
\(269\) 704.061 2535.80i 0.159581 0.574759i −0.839906 0.542732i \(-0.817390\pi\)
0.999487 0.0320272i \(-0.0101963\pi\)
\(270\) −487.477 1755.73i −0.109877 0.395743i
\(271\) 2132.32 1282.97i 0.477967 0.287583i −0.256112 0.966647i \(-0.582442\pi\)
0.734079 + 0.679064i \(0.237614\pi\)
\(272\) −432.923 + 7984.80i −0.0965068 + 1.77996i
\(273\) −1587.95 + 535.044i −0.352041 + 0.118617i
\(274\) −1098.36 2071.72i −0.242169 0.456779i
\(275\) 928.071 + 1092.61i 0.203508 + 0.239589i
\(276\) 5335.90 + 7869.87i 1.16371 + 1.71634i
\(277\) 46.8803 + 864.656i 0.0101688 + 0.187553i 0.999205 + 0.0398768i \(0.0126966\pi\)
−0.989036 + 0.147676i \(0.952821\pi\)
\(278\) 2812.07 + 7057.77i 0.606679 + 1.52265i
\(279\) −567.164 262.398i −0.121703 0.0563059i
\(280\) −17438.6 + 3838.52i −3.72198 + 0.819269i
\(281\) −1324.14 + 2497.60i −0.281110 + 0.530229i −0.983352 0.181709i \(-0.941837\pi\)
0.702243 + 0.711937i \(0.252182\pi\)
\(282\) −129.572 + 790.353i −0.0273613 + 0.166897i
\(283\) 3905.63 2968.99i 0.820374 0.623632i −0.108471 0.994100i \(-0.534596\pi\)
0.928845 + 0.370467i \(0.120802\pi\)
\(284\) 220.162 101.858i 0.0460007 0.0212822i
\(285\) 4733.44 + 4483.75i 0.983805 + 0.931910i
\(286\) −365.692 2230.62i −0.0756077 0.461187i
\(287\) −607.337 204.636i −0.124913 0.0420880i
\(288\) −222.487 + 558.401i −0.0455215 + 0.114250i
\(289\) −3044.07 + 2883.49i −0.619595 + 0.586911i
\(290\) 11028.6 + 8383.73i 2.23318 + 1.69762i
\(291\) −3685.68 811.279i −0.742468 0.163430i
\(292\) 9221.90 10856.9i 1.84819 2.17586i
\(293\) −5425.23 590.030i −1.08173 0.117645i −0.450145 0.892955i \(-0.648628\pi\)
−0.631580 + 0.775311i \(0.717593\pi\)
\(294\) −8385.77 −1.66350
\(295\) 5744.42 + 2172.97i 1.13374 + 0.428865i
\(296\) −17774.0 −3.49018
\(297\) 655.960 + 71.3400i 0.128157 + 0.0139379i
\(298\) −3236.86 + 3810.72i −0.629215 + 0.740769i
\(299\) 3422.50 + 753.349i 0.661967 + 0.145710i
\(300\) −2353.44 1789.04i −0.452920 0.344301i
\(301\) 2527.84 2394.50i 0.484062 0.458528i
\(302\) 4473.14 11226.7i 0.852318 2.13916i
\(303\) 4114.96 + 1386.49i 0.780192 + 0.262877i
\(304\) −2174.11 13261.5i −0.410177 2.50197i
\(305\) 1549.69 + 1467.95i 0.290935 + 0.275588i
\(306\) −3881.50 + 1795.77i −0.725133 + 0.335482i
\(307\) −1204.54 + 915.668i −0.223931 + 0.170228i −0.711124 0.703066i \(-0.751814\pi\)
0.487193 + 0.873294i \(0.338021\pi\)
\(308\) 1997.22 12182.5i 0.369488 2.25377i
\(309\) −739.733 + 1395.29i −0.136188 + 0.256877i
\(310\) −4576.46 + 1007.36i −0.838469 + 0.184561i
\(311\) −1584.10 732.881i −0.288829 0.133627i 0.270125 0.962825i \(-0.412935\pi\)
−0.558954 + 0.829199i \(0.688797\pi\)
\(312\) 903.663 + 2268.02i 0.163974 + 0.411543i
\(313\) 64.9804 + 1198.49i 0.0117345 + 0.216431i 0.998519 + 0.0543954i \(0.0173231\pi\)
−0.986785 + 0.162035i \(0.948194\pi\)
\(314\) −3096.86 4567.52i −0.556579 0.820893i
\(315\) −2374.52 2795.50i −0.424727 0.500027i
\(316\) 5381.01 + 10149.7i 0.957928 + 1.80684i
\(317\) −3807.03 + 1282.74i −0.674524 + 0.227274i −0.635658 0.771971i \(-0.719271\pi\)
−0.0388661 + 0.999244i \(0.512375\pi\)
\(318\) 116.998 2157.89i 0.0206318 0.380530i
\(319\) −4298.45 + 2586.29i −0.754442 + 0.453933i
\(320\) −1224.73 4411.06i −0.213951 0.770581i
\(321\) 139.133 501.113i 0.0241921 0.0871321i
\(322\) 24209.9 + 14566.6i 4.18995 + 2.52101i
\(323\) 8587.82 12666.1i 1.47938 2.18192i
\(324\) −1352.69 + 147.114i −0.231943 + 0.0252254i
\(325\) −1083.19 + 117.804i −0.184875 + 0.0201064i
\(326\) −8172.56 + 12053.6i −1.38846 + 2.04782i
\(327\) 786.045 + 472.947i 0.132931 + 0.0799818i
\(328\) −249.807 + 899.724i −0.0420527 + 0.151460i
\(329\) 431.299 + 1553.40i 0.0722744 + 0.260309i
\(330\) 4239.52 2550.84i 0.707207 0.425512i
\(331\) 152.597 2814.49i 0.0253399 0.467367i −0.958134 0.286319i \(-0.907568\pi\)
0.983474 0.181048i \(-0.0579489\pi\)
\(332\) −19348.3 + 6519.19i −3.19841 + 1.07767i
\(333\) −1710.16 3225.71i −0.281430 0.530834i
\(334\) 1.33411 + 1.57063i 0.000218560 + 0.000257309i
\(335\) 3251.10 + 4795.02i 0.530229 + 0.782029i
\(336\) 409.289 + 7548.90i 0.0664541 + 1.22567i
\(337\) 1053.38 + 2643.80i 0.170272 + 0.427349i 0.989205 0.146539i \(-0.0468135\pi\)
−0.818933 + 0.573889i \(0.805434\pi\)
\(338\) −8370.22 3872.48i −1.34698 0.623180i
\(339\) −2680.53 + 590.029i −0.429458 + 0.0945309i
\(340\) −10175.7 + 19193.4i −1.62310 + 3.06149i
\(341\) 274.524 1674.52i 0.0435962 0.265925i
\(342\) 5721.78 4349.58i 0.904673 0.687715i
\(343\) −5958.48 + 2756.68i −0.937981 + 0.433956i
\(344\) −3683.03 3488.75i −0.577254 0.546804i
\(345\) 1241.00 + 7569.76i 0.193661 + 1.18128i
\(346\) −709.143 238.938i −0.110184 0.0371254i
\(347\) −4656.15 + 11686.1i −0.720332 + 1.80790i −0.145984 + 0.989287i \(0.546635\pi\)
−0.574348 + 0.818611i \(0.694744\pi\)
\(348\) 7510.34 7114.17i 1.15689 1.09586i
\(349\) −1615.80 1228.30i −0.247828 0.188394i 0.473884 0.880587i \(-0.342852\pi\)
−0.721712 + 0.692193i \(0.756645\pi\)
\(350\) −8579.25 1888.44i −1.31023 0.288403i
\(351\) −324.663 + 382.223i −0.0493711 + 0.0581241i
\(352\) −1622.61 176.469i −0.245696 0.0267211i
\(353\) 4016.22 0.605558 0.302779 0.953061i \(-0.402086\pi\)
0.302779 + 0.953061i \(0.402086\pi\)
\(354\) 3388.32 5861.48i 0.508721 0.880040i
\(355\) 195.704 0.0292589
\(356\) 2387.11 + 259.614i 0.355383 + 0.0386503i
\(357\) −5573.25 + 6561.33i −0.826240 + 0.972725i
\(358\) −1346.07 296.293i −0.198721 0.0437419i
\(359\) 7032.86 + 5346.24i 1.03393 + 0.785972i 0.977179 0.212417i \(-0.0681334\pi\)
0.0567491 + 0.998388i \(0.481926\pi\)
\(360\) −3879.72 + 3675.07i −0.567998 + 0.538036i
\(361\) −6980.17 + 17518.9i −1.01767 + 2.55415i
\(362\) 13274.3 + 4472.64i 1.92730 + 0.649383i
\(363\) −356.137 2172.34i −0.0514941 0.314100i
\(364\) 6811.91 + 6452.58i 0.980882 + 0.929141i
\(365\) 10429.9 4825.39i 1.49569 0.691979i
\(366\) 1873.27 1424.02i 0.267533 0.203374i
\(367\) 1750.44 10677.2i 0.248971 1.51865i −0.505792 0.862656i \(-0.668800\pi\)
0.754763 0.655998i \(-0.227752\pi\)
\(368\) 7405.85 13968.9i 1.04907 1.97875i
\(369\) −187.322 + 41.2326i −0.0264270 + 0.00581703i
\(370\) −24846.9 11495.4i −3.49117 1.61518i
\(371\) −1610.12 4041.10i −0.225319 0.565509i
\(372\) 189.445 + 3494.10i 0.0264039 + 0.486991i
\(373\) −1800.01 2654.81i −0.249868 0.368528i 0.681983 0.731368i \(-0.261118\pi\)
−0.931852 + 0.362840i \(0.881807\pi\)
\(374\) −7518.05 8850.93i −1.03944 1.22372i
\(375\) 1263.35 + 2382.92i 0.173970 + 0.328143i
\(376\) 2225.93 750.005i 0.305303 0.102868i
\(377\) 206.420 3807.20i 0.0281994 0.520107i
\(378\) −3464.53 + 2084.54i −0.471419 + 0.283643i
\(379\) 52.7532 + 190.000i 0.00714974 + 0.0257510i 0.967039 0.254629i \(-0.0819533\pi\)
−0.959889 + 0.280380i \(0.909540\pi\)
\(380\) 9766.95 35177.4i 1.31851 4.74885i
\(381\) 1562.03 + 939.843i 0.210040 + 0.126377i
\(382\) 7731.86 11403.6i 1.03559 1.52739i
\(383\) −11525.5 + 1253.47i −1.53766 + 0.167230i −0.837373 0.546632i \(-0.815910\pi\)
−0.700286 + 0.713863i \(0.746944\pi\)
\(384\) −6610.47 + 718.932i −0.878488 + 0.0955413i
\(385\) 5589.13 8243.35i 0.739866 1.09122i
\(386\) 3848.40 + 2315.50i 0.507457 + 0.305327i
\(387\) 278.784 1004.09i 0.0366186 0.131888i
\(388\) 5653.38 + 20361.6i 0.739708 + 2.66419i
\(389\) −11855.2 + 7133.06i −1.54520 + 0.929719i −0.549664 + 0.835386i \(0.685244\pi\)
−0.995541 + 0.0943326i \(0.969928\pi\)
\(390\) −203.590 + 3755.00i −0.0264339 + 0.487544i
\(391\) 17061.7 5748.77i 2.20678 0.743549i
\(392\) 11519.9 + 21728.9i 1.48430 + 2.79968i
\(393\) 1234.49 + 1453.35i 0.158452 + 0.186544i
\(394\) −4575.15 6747.84i −0.585007 0.862821i
\(395\) 501.752 + 9254.27i 0.0639137 + 1.17882i
\(396\) −1367.54 3432.28i −0.173540 0.435551i
\(397\) 8693.07 + 4021.84i 1.09897 + 0.508439i 0.883671 0.468108i \(-0.155064\pi\)
0.215302 + 0.976547i \(0.430926\pi\)
\(398\) 21927.2 4826.54i 2.76159 0.607871i
\(399\) 6776.72 12782.2i 0.850276 1.60379i
\(400\) −795.280 + 4850.99i −0.0994100 + 0.606374i
\(401\) 9032.58 6866.39i 1.12485 0.855090i 0.134126 0.990964i \(-0.457177\pi\)
0.990726 + 0.135874i \(0.0433842\pi\)
\(402\) 5796.02 2681.52i 0.719103 0.332692i
\(403\) 936.318 + 886.928i 0.115735 + 0.109630i
\(404\) −3933.63 23994.1i −0.484419 2.95482i
\(405\) −1040.26 350.505i −0.127632 0.0430043i
\(406\) 11378.2 28557.1i 1.39086 3.49080i
\(407\) 7197.32 6817.66i 0.876555 0.830317i
\(408\) 9985.35 + 7590.67i 1.21164 + 0.921064i
\(409\) −11584.7 2550.00i −1.40056 0.308287i −0.550440 0.834875i \(-0.685540\pi\)
−0.850120 + 0.526588i \(0.823471\pi\)
\(410\) −931.115 + 1096.19i −0.112157 + 0.132042i
\(411\) −1404.35 152.732i −0.168544 0.0183302i
\(412\) 8842.95 1.05743
\(413\) 1235.90 13572.1i 0.147251 1.61704i
\(414\) 8456.01 1.00384
\(415\) −16374.9 1780.88i −1.93690 0.210651i
\(416\) 803.098 945.481i 0.0946518 0.111433i
\(417\) 4469.90 + 983.900i 0.524921 + 0.115544i
\(418\) 15536.6 + 11810.6i 1.81799 + 1.38200i
\(419\) −943.957 + 894.163i −0.110060 + 0.104255i −0.740751 0.671779i \(-0.765530\pi\)
0.630691 + 0.776034i \(0.282772\pi\)
\(420\) −7601.91 + 19079.3i −0.883179 + 2.21661i
\(421\) −8099.99 2729.20i −0.937694 0.315946i −0.191362 0.981520i \(-0.561290\pi\)
−0.746332 + 0.665574i \(0.768187\pi\)
\(422\) −2733.87 16675.9i −0.315362 1.92362i
\(423\) 350.287 + 331.809i 0.0402637 + 0.0381398i
\(424\) −5752.18 + 2661.24i −0.658846 + 0.304814i
\(425\) −4456.33 + 3387.62i −0.508621 + 0.386643i
\(426\) 34.9024 212.895i 0.00396954 0.0242131i
\(427\) 2218.65 4184.81i 0.251447 0.474279i
\(428\) −2844.03 + 626.018i −0.321195 + 0.0707003i
\(429\) −1235.88 571.780i −0.139088 0.0643492i
\(430\) −2892.28 7259.07i −0.324367 0.814101i
\(431\) 51.8169 + 955.706i 0.00579102 + 0.106809i 1.00000 0.000656839i \(-0.000209078\pi\)
−0.994209 + 0.107466i \(0.965726\pi\)
\(432\) 1269.73 + 1872.71i 0.141411 + 0.208566i
\(433\) 4512.55 + 5312.59i 0.500830 + 0.589623i 0.953250 0.302182i \(-0.0977151\pi\)
−0.452420 + 0.891805i \(0.649439\pi\)
\(434\) 4870.58 + 9186.89i 0.538699 + 1.01609i
\(435\) 7908.89 2664.82i 0.871730 0.293720i
\(436\) 278.096 5129.18i 0.0305468 0.563402i
\(437\) −25925.8 + 15599.0i −2.83798 + 1.70756i
\(438\) −3389.16 12206.6i −0.369727 1.33164i
\(439\) −3313.45 + 11934.0i −0.360233 + 1.29744i 0.532336 + 0.846533i \(0.321314\pi\)
−0.892569 + 0.450910i \(0.851099\pi\)
\(440\) −12433.7 7481.09i −1.34716 0.810562i
\(441\) −2835.04 + 4181.38i −0.306127 + 0.451504i
\(442\) 8774.60 954.295i 0.944265 0.102695i
\(443\) −233.242 + 25.3666i −0.0250150 + 0.00272055i −0.120618 0.992699i \(-0.538488\pi\)
0.0956029 + 0.995420i \(0.469522\pi\)
\(444\) −11472.7 + 16921.0i −1.22629 + 1.80864i
\(445\) 1659.87 + 998.712i 0.176821 + 0.106390i
\(446\) 5049.26 18185.8i 0.536075 1.93077i
\(447\) 805.822 + 2902.31i 0.0852664 + 0.307102i
\(448\) −8704.22 + 5237.15i −0.917936 + 0.552304i
\(449\) −987.022 + 18204.6i −0.103743 + 1.91342i 0.234091 + 0.972215i \(0.424789\pi\)
−0.337833 + 0.941206i \(0.609694\pi\)
\(450\) −2491.46 + 839.472i −0.260997 + 0.0879402i
\(451\) −243.956 460.149i −0.0254710 0.0480434i
\(452\) 9949.57 + 11713.5i 1.03537 + 1.21894i
\(453\) −4085.69 6025.94i −0.423758 0.624997i
\(454\) 206.888 + 3815.83i 0.0213871 + 0.394462i
\(455\) 2801.82 + 7032.03i 0.288684 + 0.724542i
\(456\) −19130.8 8850.83i −1.96465 0.908943i
\(457\) 2176.22 479.023i 0.222756 0.0490322i −0.102190 0.994765i \(-0.532585\pi\)
0.324946 + 0.945733i \(0.394654\pi\)
\(458\) −15143.9 + 28564.5i −1.54504 + 2.91426i
\(459\) −416.828 + 2542.54i −0.0423875 + 0.258552i
\(460\) 34194.1 25993.7i 3.46589 2.63470i
\(461\) −9886.20 + 4573.85i −0.998799 + 0.462094i −0.850005 0.526774i \(-0.823401\pi\)
−0.148794 + 0.988868i \(0.547539\pi\)
\(462\) −7970.67 7550.22i −0.802660 0.760320i
\(463\) 2200.79 + 13424.2i 0.220906 + 1.34747i 0.831500 + 0.555524i \(0.187482\pi\)
−0.610594 + 0.791943i \(0.709069\pi\)
\(464\) −16301.4 5492.58i −1.63098 0.549540i
\(465\) −1044.91 + 2622.52i −0.104207 + 0.261540i
\(466\) 12646.0 11978.9i 1.25711 1.19080i
\(467\) −7752.33 5893.17i −0.768170 0.583947i 0.145997 0.989285i \(-0.453361\pi\)
−0.914167 + 0.405338i \(0.867154\pi\)
\(468\) 2742.47 + 603.664i 0.270878 + 0.0596247i
\(469\) 8322.21 9797.66i 0.819368 0.964635i
\(470\) 3596.79 + 391.174i 0.352994 + 0.0383905i
\(471\) −3324.47 −0.325231
\(472\) −19842.7 727.492i −1.93503 0.0709439i
\(473\) 2829.58 0.275062
\(474\) 10156.7 + 1104.60i 0.984200 + 0.107038i
\(475\) 6090.14 7169.86i 0.588283 0.692581i
\(476\) 47077.9 + 10362.6i 4.53322 + 0.997837i
\(477\) −1036.43 787.875i −0.0994863 0.0756275i
\(478\) 4464.55 4229.04i 0.427204 0.404669i
\(479\) 2400.27 6024.22i 0.228958 0.574642i −0.768948 0.639311i \(-0.779220\pi\)
0.997907 + 0.0646686i \(0.0205990\pi\)
\(480\) 2573.23 + 867.022i 0.244690 + 0.0824457i
\(481\) 1219.01 + 7435.61i 0.115555 + 0.704854i
\(482\) −12082.0 11444.7i −1.14175 1.08152i
\(483\) 15448.1 7147.07i 1.45531 0.673298i
\(484\) −9812.91 + 7459.58i −0.921573 + 0.700562i
\(485\) −2758.09 + 16823.6i −0.258224 + 1.57510i
\(486\) −566.817 + 1069.13i −0.0529040 + 0.0997875i
\(487\) −8350.39 + 1838.06i −0.776986 + 0.171028i −0.585723 0.810511i \(-0.699189\pi\)
−0.191263 + 0.981539i \(0.561258\pi\)
\(488\) −6263.27 2897.70i −0.580993 0.268796i
\(489\) 3247.31 + 8150.14i 0.300304 + 0.753705i
\(490\) 2050.88 + 37826.2i 0.189080 + 3.48738i
\(491\) −2749.33 4054.95i −0.252699 0.372703i 0.680088 0.733130i \(-0.261941\pi\)
−0.932788 + 0.360427i \(0.882631\pi\)
\(492\) 695.300 + 818.570i 0.0637125 + 0.0750081i
\(493\) −9175.38 17306.6i −0.838211 1.58103i
\(494\) −14056.6 + 4736.22i −1.28023 + 0.431361i
\(495\) 161.372 2976.33i 0.0146528 0.270255i
\(496\) 4985.75 2999.83i 0.451345 0.271565i
\(497\) −116.178 418.434i −0.0104855 0.0377652i
\(498\) −4857.66 + 17495.7i −0.437103 + 1.57430i
\(499\) −11298.6 6798.13i −1.01361 0.609872i −0.0911033 0.995841i \(-0.529039\pi\)
−0.922511 + 0.385970i \(0.873867\pi\)
\(500\) 8475.24 12500.0i 0.758048 1.11804i
\(501\) 1.23419 0.134227i 0.000110059 1.19697e-5i
\(502\) −21566.8 + 2345.53i −1.91748 + 0.208538i
\(503\) 8619.77 12713.2i 0.764089 1.12695i −0.224229 0.974537i \(-0.571986\pi\)
0.988317 0.152410i \(-0.0487034\pi\)
\(504\) 10160.8 + 6113.54i 0.898010 + 0.540315i
\(505\) 5247.75 18900.7i 0.462420 1.66549i
\(506\) 6142.71 + 22124.0i 0.539677 + 1.94374i
\(507\) −4760.71 + 2864.43i −0.417023 + 0.250914i
\(508\) 552.634 10192.7i 0.0482661 0.890215i
\(509\) −20161.7 + 6793.25i −1.75570 + 0.591563i −0.998126 0.0611899i \(-0.980510\pi\)
−0.757571 + 0.652753i \(0.773614\pi\)
\(510\) 9049.60 + 17069.4i 0.785731 + 1.48205i
\(511\) −16508.7 19435.6i −1.42916 1.68254i
\(512\) 13342.8 + 19679.1i 1.15170 + 1.69863i
\(513\) −234.415 4323.54i −0.0201748 0.372103i
\(514\) −10314.0 25886.2i −0.885082 2.22139i
\(515\) 6474.71 + 2995.52i 0.554000 + 0.256308i
\(516\) −5698.63 + 1254.36i −0.486179 + 0.107016i
\(517\) −613.676 + 1157.52i −0.0522040 + 0.0984671i
\(518\) −9828.17 + 59949.2i −0.833639 + 5.08497i
\(519\) −358.887 + 272.819i −0.0303534 + 0.0230740i
\(520\) 10009.5 4630.89i 0.844127 0.390535i
\(521\) 9554.35 + 9050.36i 0.803423 + 0.761043i 0.974541 0.224208i \(-0.0719793\pi\)
−0.171118 + 0.985251i \(0.554738\pi\)
\(522\) −1488.40 9078.86i −0.124800 0.761247i
\(523\) −7205.79 2427.91i −0.602461 0.202993i 0.00151026 0.999999i \(-0.499519\pi\)
−0.603971 + 0.797006i \(0.706416\pi\)
\(524\) 3952.15 9919.15i 0.329486 0.826947i
\(525\) −3842.08 + 3639.42i −0.319395 + 0.302547i
\(526\) 32030.5 + 24348.9i 2.65512 + 2.01837i
\(527\) 6471.01 + 1424.38i 0.534880 + 0.117736i
\(528\) −3977.32 + 4682.46i −0.327823 + 0.385943i
\(529\) −23293.4 2533.31i −1.91447 0.208211i
\(530\) −9762.36 −0.800094
\(531\) −1777.18 3671.15i −0.145241 0.300027i
\(532\) −81010.5 −6.60198
\(533\) 393.525 + 42.7984i 0.0319802 + 0.00347806i
\(534\) 1382.47 1627.56i 0.112032 0.131894i
\(535\) −2294.43 505.042i −0.185415 0.0408129i
\(536\) −14910.5 11334.7i −1.20156 0.913404i
\(537\) −602.819 + 571.020i −0.0484424 + 0.0458870i
\(538\) −4850.83 + 12174.7i −0.388725 + 0.975626i
\(539\) −12999.5 4380.04i −1.03883 0.350021i
\(540\) 994.422 + 6065.70i 0.0792465 + 0.483382i
\(541\) 2906.20 + 2752.90i 0.230956 + 0.218773i 0.794422 0.607366i \(-0.207774\pi\)
−0.563466 + 0.826139i \(0.690532\pi\)
\(542\) −11247.0 + 5203.44i −0.891332 + 0.412374i
\(543\) 6717.94 5106.85i 0.530929 0.403602i
\(544\) 1031.08 6289.31i 0.0812632 0.495683i
\(545\) 1941.11 3661.33i 0.152565 0.287769i
\(546\) 8149.40 1793.82i 0.638759 0.140601i
\(547\) 4103.47 + 1898.47i 0.320753 + 0.148396i 0.573658 0.819095i \(-0.305524\pi\)
−0.252905 + 0.967491i \(0.581386\pi\)
\(548\) 2927.78 + 7348.18i 0.228228 + 0.572808i
\(549\) −76.7458 1415.49i −0.00596618 0.110040i
\(550\) −4006.24 5908.77i −0.310594 0.458092i
\(551\) 21311.4 + 25089.8i 1.64773 + 1.93985i
\(552\) −11616.4 21910.9i −0.895703 1.68947i
\(553\) 19488.6 6566.48i 1.49863 0.504946i
\(554\) 233.455 4305.82i 0.0179035 0.330210i
\(555\) −14132.1 + 8503.03i −1.08086 + 0.650331i
\(556\) −6856.28 24694.1i −0.522969 1.88357i
\(557\) 818.893 2949.39i 0.0622938 0.224362i −0.925851 0.377890i \(-0.876650\pi\)
0.988144 + 0.153528i \(0.0490636\pi\)
\(558\) 2666.53 + 1604.40i 0.202300 + 0.121720i
\(559\) −1206.89 + 1780.04i −0.0913170 + 0.134683i
\(560\) 33951.2 3692.41i 2.56196 0.278630i
\(561\) −6955.01 + 756.403i −0.523424 + 0.0569258i
\(562\) 7900.05 11651.7i 0.592960 0.874550i
\(563\) 7406.02 + 4456.06i 0.554399 + 0.333571i 0.765030 0.643995i \(-0.222724\pi\)
−0.210631 + 0.977566i \(0.567552\pi\)
\(564\) 722.780 2603.22i 0.0539620 0.194353i
\(565\) 3317.05 + 11946.9i 0.246990 + 0.889577i
\(566\) −20933.8 + 12595.4i −1.55462 + 0.935382i
\(567\) −131.873 + 2432.25i −0.00976744 + 0.180150i
\(568\) −599.593 + 202.026i −0.0442929 + 0.0149240i
\(569\) −1122.67 2117.57i −0.0827146 0.156016i 0.838704 0.544587i \(-0.183314\pi\)
−0.921419 + 0.388571i \(0.872969\pi\)
\(570\) −21019.3 24745.8i −1.54456 1.81840i
\(571\) 7512.02 + 11079.4i 0.550557 + 0.812011i 0.996547 0.0830267i \(-0.0264587\pi\)
−0.445990 + 0.895038i \(0.647148\pi\)
\(572\) 412.810 + 7613.84i 0.0301756 + 0.556557i
\(573\) −3072.20 7710.65i −0.223984 0.562159i
\(574\) 2896.51 + 1340.07i 0.210624 + 0.0974448i
\(575\) 10809.1 2379.25i 0.783946 0.172560i
\(576\) −1424.06 + 2686.06i −0.103013 + 0.194304i
\(577\) 1335.24 8144.59i 0.0963373 0.587632i −0.893903 0.448261i \(-0.852044\pi\)
0.990240 0.139371i \(-0.0445081\pi\)
\(578\) 16622.5 12636.1i 1.19620 0.909329i
\(579\) 2455.63 1136.10i 0.176257 0.0815451i
\(580\) −33927.1 32137.5i −2.42887 2.30075i
\(581\) 5913.11 + 36068.3i 0.422232 + 2.57550i
\(582\) 17809.5 + 6000.73i 1.26844 + 0.427386i
\(583\) 1308.47 3284.02i 0.0929528 0.233294i
\(584\) −26973.6 + 25550.7i −1.91126 + 1.81044i
\(585\) 1803.52 + 1371.00i 0.127464 + 0.0968956i
\(586\) 26540.5 + 5842.01i 1.87095 + 0.411828i
\(587\) 7666.43 9025.62i 0.539059 0.634629i −0.423437 0.905925i \(-0.639177\pi\)
0.962496 + 0.271297i \(0.0874524\pi\)
\(588\) 28122.0 + 3058.45i 1.97233 + 0.214504i
\(589\) −11135.2 −0.778974
\(590\) −27268.4 13850.4i −1.90275 0.966460i
\(591\) −4911.42 −0.341843
\(592\) 33795.2 + 3675.45i 2.34624 + 0.255169i
\(593\) 7661.58 9019.91i 0.530562 0.624626i −0.429954 0.902851i \(-0.641470\pi\)
0.960516 + 0.278225i \(0.0897461\pi\)
\(594\) −3208.99 706.352i −0.221661 0.0487912i
\(595\) 30959.7 + 23534.9i 2.13315 + 1.62158i
\(596\) 12244.8 11598.8i 0.841551 0.797160i
\(597\) 5006.46 12565.3i 0.343217 0.861410i
\(598\) −16537.8 5572.24i −1.13091 0.381047i
\(599\) 780.058 + 4758.14i 0.0532092 + 0.324562i 0.999996 + 0.00270137i \(0.000859875\pi\)
−0.946787 + 0.321860i \(0.895692\pi\)
\(600\) 5597.85 + 5302.57i 0.380886 + 0.360794i
\(601\) −3898.52 + 1803.65i −0.264599 + 0.122417i −0.547703 0.836673i \(-0.684498\pi\)
0.283104 + 0.959089i \(0.408636\pi\)
\(602\) −13803.6 + 10493.2i −0.934539 + 0.710418i
\(603\) 622.425 3796.62i 0.0420350 0.256402i
\(604\) −19095.4 + 36017.8i −1.28639 + 2.42640i
\(605\) −9711.82 + 2137.73i −0.652631 + 0.143655i
\(606\) −19625.1 9079.52i −1.31553 0.608631i
\(607\) −10014.0 25133.4i −0.669617 1.68061i −0.730894 0.682491i \(-0.760896\pi\)
0.0612764 0.998121i \(-0.480483\pi\)
\(608\) 579.858 + 10694.8i 0.0386782 + 0.713377i
\(609\) −10392.6 15328.0i −0.691513 1.01991i
\(610\) −6881.56 8101.60i −0.456764 0.537744i
\(611\) −466.421 879.764i −0.0308828 0.0582511i
\(612\) 13671.7 4606.53i 0.903016 0.304262i
\(613\) −575.433 + 10613.2i −0.0379144 + 0.699290i 0.916360 + 0.400356i \(0.131114\pi\)
−0.954274 + 0.298933i \(0.903369\pi\)
\(614\) 6456.22 3884.58i 0.424351 0.255324i
\(615\) 231.803 + 834.879i 0.0151987 + 0.0547408i
\(616\) −8614.16 + 31025.4i −0.563433 + 2.02930i
\(617\) −5621.45 3382.32i −0.366793 0.220692i 0.320210 0.947347i \(-0.396246\pi\)
−0.687003 + 0.726655i \(0.741074\pi\)
\(618\) 4413.37 6509.23i 0.287268 0.423689i
\(619\) 22246.8 2419.48i 1.44455 0.157104i 0.647981 0.761657i \(-0.275614\pi\)
0.796565 + 0.604553i \(0.206648\pi\)
\(620\) 15714.7 1709.08i 1.01793 0.110707i
\(621\) 2858.79 4216.40i 0.184733 0.272461i
\(622\) 7447.65 + 4481.10i 0.480102 + 0.288868i
\(623\) 1149.97 4141.83i 0.0739531 0.266355i
\(624\) −1249.21 4499.25i −0.0801418 0.288645i
\(625\) 16722.9 10061.8i 1.07026 0.643956i
\(626\) 323.589 5968.26i 0.0206601 0.381053i
\(627\) 11141.7 3754.07i 0.709658 0.239112i
\(628\) 8719.56 + 16446.8i 0.554058 + 1.04506i
\(629\) 25060.9 + 29503.9i 1.58862 + 1.87027i
\(630\) 10250.2 + 15117.9i 0.648217 + 0.956049i
\(631\) 849.451 + 15667.2i 0.0535913 + 0.988433i 0.894447 + 0.447174i \(0.147570\pi\)
−0.840856 + 0.541259i \(0.817948\pi\)
\(632\) −11090.5 27835.0i −0.698031 1.75193i
\(633\) −9239.31 4274.56i −0.580141 0.268402i
\(634\) 19537.8 4300.58i 1.22389 0.269397i
\(635\) 3857.39 7275.81i 0.241064 0.454696i
\(636\) −1179.38 + 7193.90i −0.0735306 + 0.448517i
\(637\) 8300.03 6309.52i 0.516263 0.392453i
\(638\) 22672.4 10489.4i 1.40691 0.650907i
\(639\) −94.3557 89.3785i −0.00584140 0.00553327i
\(640\) 4859.63 + 29642.4i 0.300147 + 1.83081i
\(641\) −3773.47 1271.43i −0.232517 0.0783440i 0.200631 0.979667i \(-0.435701\pi\)
−0.433148 + 0.901323i \(0.642597\pi\)
\(642\) −958.599 + 2405.90i −0.0589297 + 0.147903i
\(643\) 442.295 418.965i 0.0271266 0.0256957i −0.674016 0.738717i \(-0.735432\pi\)
0.701143 + 0.713021i \(0.252674\pi\)
\(644\) −75875.9 57679.3i −4.64275 3.52932i
\(645\) −4597.39 1011.96i −0.280654 0.0617767i
\(646\) −49334.5 + 58081.1i −3.00471 + 3.53741i
\(647\) 805.531 + 87.6068i 0.0489470 + 0.00532331i 0.132560 0.991175i \(-0.457680\pi\)
−0.0836128 + 0.996498i \(0.526646\pi\)
\(648\) 3548.95 0.215148
\(649\) 8314.07 7316.59i 0.502860 0.442529i
\(650\) 5425.86 0.327415
\(651\) 6227.48 + 677.279i 0.374922 + 0.0407752i
\(652\) 31803.2 37441.6i 1.91029 2.24896i
\(653\) 22421.9 + 4935.43i 1.34370 + 0.295771i 0.827870 0.560920i \(-0.189553\pi\)
0.515830 + 0.856691i \(0.327484\pi\)
\(654\) −3636.76 2764.59i −0.217444 0.165297i
\(655\) 6253.81 5923.92i 0.373063 0.353384i
\(656\) 661.031 1659.06i 0.0393429 0.0987432i
\(657\) −7232.38 2436.87i −0.429470 0.144705i
\(658\) −1298.82 7922.48i −0.0769505 0.469377i
\(659\) 5646.20 + 5348.37i 0.333755 + 0.316150i 0.836163 0.548481i \(-0.184794\pi\)
−0.502408 + 0.864631i \(0.667552\pi\)
\(660\) −15147.7 + 7008.09i −0.893371 + 0.413317i
\(661\) 17061.1 12969.5i 1.00394 0.763172i 0.0322571 0.999480i \(-0.489730\pi\)
0.971678 + 0.236308i \(0.0759373\pi\)
\(662\) −2270.80 + 13851.3i −0.133319 + 0.813210i
\(663\) 2490.66 4697.89i 0.145896 0.275190i
\(664\) 52007.5 11447.7i 3.03958 0.669062i
\(665\) −59315.1 27442.1i −3.45886 1.60024i
\(666\) 6729.58 + 16890.0i 0.391540 + 0.982692i
\(667\) 2096.80 + 38673.2i 0.121722 + 2.24503i
\(668\) −3.90114 5.75375i −0.000225957 0.000333262i
\(669\) −7360.90 8665.92i −0.425394 0.500813i
\(670\) −13513.2 25488.7i −0.779197 1.46972i
\(671\) 3647.70 1229.05i 0.209863 0.0707110i
\(672\) 326.205 6016.50i 0.0187256 0.345374i
\(673\) −27995.6 + 16844.4i −1.60349 + 0.964789i −0.619835 + 0.784732i \(0.712801\pi\)
−0.983656 + 0.180057i \(0.942372\pi\)
\(674\) −3791.44 13655.5i −0.216678 0.780404i
\(675\) −423.725 + 1526.12i −0.0241618 + 0.0870228i
\(676\) 26657.4 + 16039.3i 1.51670 + 0.912566i
\(677\) 19746.3 29123.6i 1.12099 1.65334i 0.519459 0.854496i \(-0.326134\pi\)
0.601535 0.798846i \(-0.294556\pi\)
\(678\) 13587.9 1477.77i 0.769677 0.0837074i
\(679\) 37607.8 4090.09i 2.12556 0.231168i
\(680\) 31797.6 46898.0i 1.79321 2.64479i
\(681\) 1972.62 + 1186.89i 0.111000 + 0.0667865i
\(682\) −2260.64 + 8142.10i −0.126927 + 0.457151i
\(683\) −5532.21 19925.2i −0.309933 1.11628i −0.940402 0.340064i \(-0.889551\pi\)
0.630469 0.776214i \(-0.282862\pi\)
\(684\) −20774.5 + 12499.6i −1.16131 + 0.698736i
\(685\) −345.482 + 6372.04i −0.0192704 + 0.355421i
\(686\) 30982.3 10439.2i 1.72436 0.581004i
\(687\) 9123.21 + 17208.2i 0.506655 + 0.955653i
\(688\) 6281.42 + 7395.06i 0.348077 + 0.409788i
\(689\) 1507.82 + 2223.86i 0.0833718 + 0.122964i
\(690\) −2068.06 38143.1i −0.114101 2.10447i
\(691\) 429.243 + 1077.32i 0.0236312 + 0.0593098i 0.940319 0.340295i \(-0.110527\pi\)
−0.916688 + 0.399604i \(0.869147\pi\)
\(692\) 2290.99 + 1059.93i 0.125853 + 0.0582259i
\(693\) −6459.46 + 1421.83i −0.354076 + 0.0779380i
\(694\) 29342.7 55346.2i 1.60495 3.02725i
\(695\) 3344.95 20403.3i 0.182563 1.11358i
\(696\) −21480.1 + 16328.8i −1.16983 + 0.889282i
\(697\) 1845.72 853.919i 0.100303 0.0464053i
\(698\) 7337.88 + 6950.81i 0.397912 + 0.376923i
\(699\) −1697.69 10355.4i −0.0918633 0.560341i
\(700\) 28082.1 + 9461.95i 1.51629 + 0.510897i
\(701\) 4238.98 10639.0i 0.228394 0.573226i −0.769461 0.638694i \(-0.779475\pi\)
0.997855 + 0.0654686i \(0.0208542\pi\)
\(702\) 1813.07 1717.44i 0.0974788 0.0923368i
\(703\) −51790.0 39369.8i −2.77852 2.11217i
\(704\) −8062.19 1774.62i −0.431613 0.0950051i
\(705\) 1411.05 1661.21i 0.0753802 0.0887444i
\(706\) −19882.7 2162.38i −1.05991 0.115272i
\(707\) −43526.7 −2.31540
\(708\) −13500.6 + 18420.9i −0.716645 + 0.977824i
\(709\) 17389.1 0.921100 0.460550 0.887634i \(-0.347652\pi\)
0.460550 + 0.887634i \(0.347652\pi\)
\(710\) −968.855 105.369i −0.0512120 0.00556964i
\(711\) 3984.53 4690.95i 0.210171 0.247432i
\(712\) −6116.44 1346.33i −0.321943 0.0708650i
\(713\) −10429.4 7928.21i −0.547803 0.416429i
\(714\) 31123.7 29481.9i 1.63134 1.54528i
\(715\) −2276.91 + 5714.61i −0.119093 + 0.298901i
\(716\) 4406.04 + 1484.57i 0.229974 + 0.0774874i
\(717\) −599.354 3655.90i −0.0312180 0.190421i
\(718\) −31938.5 30253.7i −1.66007 1.57251i
\(719\) 24343.2 11262.4i 1.26265 0.584166i 0.329675 0.944095i \(-0.393061\pi\)
0.932980 + 0.359928i \(0.117199\pi\)
\(720\) 8136.80 6185.44i 0.421168 0.320163i
\(721\) 2561.06 15621.8i 0.132287 0.806915i
\(722\) 43988.5 82971.1i 2.26743 4.27682i
\(723\) −9791.32 + 2155.23i −0.503656 + 0.110863i
\(724\) −42884.6 19840.5i −2.20137 1.01846i
\(725\) −4457.09 11186.4i −0.228320 0.573040i
\(726\) 593.484 + 10946.2i 0.0303392 + 0.559573i
\(727\) 21570.0 + 31813.4i 1.10040 + 1.62296i 0.713191 + 0.700970i \(0.247249\pi\)
0.387206 + 0.921993i \(0.373440\pi\)
\(728\) −15843.3 18652.2i −0.806583 0.949582i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −54232.4 + 18273.0i −2.74963 + 0.926459i
\(731\) −598.175 + 11032.7i −0.0302658 + 0.558219i
\(732\) −6801.43 + 4092.28i −0.343426 + 0.206633i
\(733\) 9614.50 + 34628.3i 0.484474 + 1.74492i 0.651192 + 0.758913i \(0.274269\pi\)
−0.166717 + 0.986005i \(0.553317\pi\)
\(734\) −14414.5 + 51916.2i −0.724861 + 2.61071i
\(735\) 19554.6 + 11765.6i 0.981335 + 0.590450i
\(736\) −7071.60 + 10429.8i −0.354161 + 0.522349i
\(737\) 10385.5 1129.49i 0.519071 0.0564523i
\(738\) 949.556 103.270i 0.0473626 0.00515100i
\(739\) −16590.7 + 24469.5i −0.825845 + 1.21803i 0.147586 + 0.989049i \(0.452850\pi\)
−0.973431 + 0.228981i \(0.926461\pi\)
\(740\) 79132.5 + 47612.4i 3.93104 + 2.36523i
\(741\) −2390.62 + 8610.22i −0.118518 + 0.426861i
\(742\) 5795.31 + 20872.8i 0.286729 + 1.03270i
\(743\) 13218.3 7953.16i 0.652666 0.392696i −0.150367 0.988630i \(-0.548046\pi\)
0.803033 + 0.595934i \(0.203218\pi\)
\(744\) 494.117 9113.45i 0.0243484 0.449080i
\(745\) 12894.6 4344.68i 0.634121 0.213660i
\(746\) 7481.75 + 14112.1i 0.367193 + 0.692600i
\(747\) 7081.59 + 8337.09i 0.346856 + 0.408351i
\(748\) 21983.9 + 32423.9i 1.07462 + 1.58494i
\(749\) 282.235 + 5205.51i 0.0137685 + 0.253946i
\(750\) −4971.34 12477.1i −0.242037 0.607467i
\(751\) −5713.21 2643.21i −0.277600 0.128432i 0.276149 0.961115i \(-0.410942\pi\)
−0.553750 + 0.832683i \(0.686804\pi\)
\(752\) −4387.45 + 965.751i −0.212758 + 0.0468315i
\(753\) −6121.72 + 11546.8i −0.296265 + 0.558816i
\(754\) −3071.74 + 18736.8i −0.148364 + 0.904978i
\(755\) −26182.4 + 19903.3i −1.26209 + 0.959412i
\(756\) 12378.7 5727.00i 0.595515 0.275514i
\(757\) −7837.40 7423.98i −0.376295 0.356445i 0.476057 0.879415i \(-0.342066\pi\)
−0.852352 + 0.522969i \(0.824824\pi\)
\(758\) −158.862 969.018i −0.00761232 0.0464331i
\(759\) 13108.4 + 4416.73i 0.626882 + 0.211221i
\(760\) −35245.3 + 88458.9i −1.68221 + 4.22203i
\(761\) 1616.27 1531.02i 0.0769907 0.0729294i −0.648237 0.761439i \(-0.724493\pi\)
0.725227 + 0.688509i \(0.241735\pi\)
\(762\) −7226.98 5493.81i −0.343577 0.261181i
\(763\) −8980.58 1976.77i −0.426106 0.0937930i
\(764\) −30088.2 + 35422.6i −1.42481 + 1.67741i
\(765\) 11570.7 + 1258.39i 0.546850 + 0.0594736i
\(766\) 57732.9 2.72320
\(767\) 1056.55 + 8350.95i 0.0497389 + 0.393136i
\(768\) 25005.7 1.17489
\(769\) 8510.90 + 925.616i 0.399104 + 0.0434052i 0.305470 0.952202i \(-0.401186\pi\)
0.0936335 + 0.995607i \(0.470152\pi\)
\(770\) −32107.9 + 37800.3i −1.50271 + 1.76913i
\(771\) −16394.6 3608.71i −0.765805 0.168566i