Properties

Label 177.4.e.a.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.a.133.15

$q$-expansion

\(f(q)\) \(=\) \(q+(5.10094 + 0.554760i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(17.8988 + 3.93983i) q^{4} +(10.4418 + 7.93765i) q^{5} +(-11.1753 + 10.5858i) q^{6} +(11.7316 - 29.4442i) q^{7} +(50.2158 + 16.9197i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(5.10094 + 0.554760i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(17.8988 + 3.93983i) q^{4} +(10.4418 + 7.93765i) q^{5} +(-11.1753 + 10.5858i) q^{6} +(11.7316 - 29.4442i) q^{7} +(50.2158 + 16.9197i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(48.8595 + 46.2821i) q^{10} +(-44.4824 + 20.5797i) q^{11} +(-43.7708 + 33.2737i) q^{12} +(-5.27989 + 32.2059i) q^{13} +(76.1769 - 143.685i) q^{14} +(-38.4290 + 8.45885i) q^{15} +(113.694 + 52.6005i) q^{16} +(-30.1864 - 75.7621i) q^{17} +(-2.50009 - 46.1114i) q^{18} +(61.3215 + 90.4424i) q^{19} +(155.623 + 183.214i) q^{20} +(44.5391 + 84.0096i) q^{21} +(-238.319 + 80.2989i) q^{22} +(1.97683 - 36.4606i) q^{23} +(-136.214 + 81.9571i) q^{24} +(12.5838 + 45.3229i) q^{25} +(-44.7990 + 161.351i) q^{26} +(23.1351 + 13.9200i) q^{27} +(325.988 - 480.797i) q^{28} +(-187.001 + 20.3376i) q^{29} +(-200.716 + 21.8292i) q^{30} +(-51.0180 + 75.2459i) q^{31} +(187.529 + 112.833i) q^{32} +(39.3366 - 141.677i) q^{33} +(-111.949 - 403.204i) q^{34} +(356.217 - 214.329i) q^{35} +(8.92999 - 164.704i) q^{36} +(-43.3789 + 14.6161i) q^{37} +(262.623 + 495.360i) q^{38} +(-63.3840 - 74.6214i) q^{39} +(390.041 + 575.268i) q^{40} +(-22.6595 - 417.930i) q^{41} +(180.586 + 453.236i) q^{42} +(193.018 + 89.2997i) q^{43} +(-877.264 + 193.100i) q^{44} +(55.2941 - 104.296i) q^{45} +(30.3106 - 184.886i) q^{46} +(-24.1749 + 18.3773i) q^{47} +(-341.082 + 157.801i) q^{48} +(-480.314 - 454.978i) q^{49} +(39.0460 + 238.170i) q^{50} +(231.856 + 78.1213i) q^{51} +(-221.390 + 555.647i) q^{52} +(287.990 - 272.798i) q^{53} +(110.289 + 83.8393i) q^{54} +(-627.831 - 138.196i) q^{55} +(1087.30 - 1280.07i) q^{56} +(-325.891 - 35.4428i) q^{57} -965.162 q^{58} +(-68.6496 - 447.958i) q^{59} -721.160 q^{60} +(-131.559 - 14.3079i) q^{61} +(-301.983 + 355.522i) q^{62} +(-278.589 - 61.3220i) q^{63} +(96.1518 + 73.0927i) q^{64} +(-310.771 + 294.378i) q^{65} +(279.250 - 700.866i) q^{66} +(127.246 + 42.8741i) q^{67} +(-241.811 - 1474.98i) q^{68} +(79.5272 + 75.3322i) q^{69} +(1935.94 - 895.663i) q^{70} +(-334.901 + 254.585i) q^{71} +(77.1550 - 470.625i) q^{72} +(-404.824 + 763.580i) q^{73} +(-229.382 + 50.4907i) q^{74} +(-128.070 - 59.2515i) q^{75} +(741.255 + 1860.41i) q^{76} +(84.1027 + 1551.18i) q^{77} +(-281.921 - 415.802i) q^{78} +(893.664 + 1052.10i) q^{79} +(769.647 + 1451.71i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(116.266 - 2144.41i) q^{82} +(1084.81 - 652.708i) q^{83} +(466.214 + 1679.15i) q^{84} +(286.173 - 1030.70i) q^{85} +(935.034 + 562.591i) q^{86} +(316.684 - 467.074i) q^{87} +(-2581.92 + 280.801i) q^{88} +(-1232.08 + 133.997i) q^{89} +(339.911 - 501.331i) q^{90} +(886.337 + 533.291i) q^{91} +(179.032 - 644.813i) q^{92} +(-72.9637 - 262.791i) q^{93} +(-133.510 + 80.3301i) q^{94} +(-77.5936 + 1431.13i) q^{95} +(-622.201 + 209.644i) q^{96} +(209.325 + 394.829i) q^{97} +(-2197.65 - 2587.27i) q^{98} +(247.546 + 365.103i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.10094 + 0.554760i 1.80345 + 0.196137i 0.947249 0.320499i \(-0.103851\pi\)
0.856205 + 0.516636i \(0.172816\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) 17.8988 + 3.93983i 2.23736 + 0.492479i
\(5\) 10.4418 + 7.93765i 0.933943 + 0.709965i 0.957097 0.289767i \(-0.0935778\pi\)
−0.0231544 + 0.999732i \(0.507371\pi\)
\(6\) −11.1753 + 10.5858i −0.760382 + 0.720272i
\(7\) 11.7316 29.4442i 0.633450 1.58984i −0.164005 0.986459i \(-0.552441\pi\)
0.797455 0.603379i \(-0.206179\pi\)
\(8\) 50.2158 + 16.9197i 2.21925 + 0.747752i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 48.8595 + 46.2821i 1.54507 + 1.46357i
\(11\) −44.4824 + 20.5797i −1.21927 + 0.564093i −0.920691 0.390292i \(-0.872374\pi\)
−0.298577 + 0.954386i \(0.596512\pi\)
\(12\) −43.7708 + 33.2737i −1.05296 + 0.800440i
\(13\) −5.27989 + 32.2059i −0.112645 + 0.687101i 0.868772 + 0.495212i \(0.164910\pi\)
−0.981417 + 0.191889i \(0.938539\pi\)
\(14\) 76.1769 143.685i 1.45422 2.74296i
\(15\) −38.4290 + 8.45885i −0.661488 + 0.145604i
\(16\) 113.694 + 52.6005i 1.77647 + 0.821883i
\(17\) −30.1864 75.7621i −0.430663 1.08088i −0.970925 0.239386i \(-0.923054\pi\)
0.540261 0.841497i \(-0.318325\pi\)
\(18\) −2.50009 46.1114i −0.0327376 0.603809i
\(19\) 61.3215 + 90.4424i 0.740427 + 1.09205i 0.992248 + 0.124274i \(0.0396601\pi\)
−0.251821 + 0.967774i \(0.581030\pi\)
\(20\) 155.623 + 183.214i 1.73992 + 2.04839i
\(21\) 44.5391 + 84.0096i 0.462820 + 0.872971i
\(22\) −238.319 + 80.2989i −2.30953 + 0.778172i
\(23\) 1.97683 36.4606i 0.0179217 0.330546i −0.975800 0.218665i \(-0.929830\pi\)
0.993722 0.111881i \(-0.0356874\pi\)
\(24\) −136.214 + 81.9571i −1.15852 + 0.697059i
\(25\) 12.5838 + 45.3229i 0.100671 + 0.362583i
\(26\) −44.7990 + 161.351i −0.337916 + 1.21706i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) 325.988 480.797i 2.20021 3.24507i
\(29\) −187.001 + 20.3376i −1.19742 + 0.130227i −0.685023 0.728521i \(-0.740208\pi\)
−0.512397 + 0.858749i \(0.671242\pi\)
\(30\) −200.716 + 21.8292i −1.22152 + 0.132848i
\(31\) −51.0180 + 75.2459i −0.295584 + 0.435954i −0.946262 0.323400i \(-0.895174\pi\)
0.650679 + 0.759353i \(0.274485\pi\)
\(32\) 187.529 + 112.833i 1.03596 + 0.623318i
\(33\) 39.3366 141.677i 0.207504 0.747360i
\(34\) −111.949 403.204i −0.564680 2.03379i
\(35\) 356.217 214.329i 1.72033 1.03509i
\(36\) 8.92999 164.704i 0.0413426 0.762519i
\(37\) −43.3789 + 14.6161i −0.192742 + 0.0649423i −0.414017 0.910269i \(-0.635875\pi\)
0.221275 + 0.975211i \(0.428978\pi\)
\(38\) 262.623 + 495.360i 1.12113 + 2.11468i
\(39\) −63.3840 74.6214i −0.260245 0.306384i
\(40\) 390.041 + 575.268i 1.54177 + 2.27395i
\(41\) −22.6595 417.930i −0.0863128 1.59195i −0.646063 0.763284i \(-0.723586\pi\)
0.559750 0.828661i \(-0.310897\pi\)
\(42\) 180.586 + 453.236i 0.663452 + 1.66514i
\(43\) 193.018 + 89.2997i 0.684535 + 0.316699i 0.731153 0.682213i \(-0.238982\pi\)
−0.0466186 + 0.998913i \(0.514845\pi\)
\(44\) −877.264 + 193.100i −3.00574 + 0.661613i
\(45\) 55.2941 104.296i 0.183172 0.345500i
\(46\) 30.3106 184.886i 0.0971533 0.592609i
\(47\) −24.1749 + 18.3773i −0.0750271 + 0.0570341i −0.642015 0.766692i \(-0.721902\pi\)
0.566988 + 0.823726i \(0.308108\pi\)
\(48\) −341.082 + 157.801i −1.02565 + 0.474514i
\(49\) −480.314 454.978i −1.40033 1.32647i
\(50\) 39.0460 + 238.170i 0.110439 + 0.673647i
\(51\) 231.856 + 78.1213i 0.636594 + 0.214494i
\(52\) −221.390 + 555.647i −0.590409 + 1.48182i
\(53\) 287.990 272.798i 0.746386 0.707014i −0.216691 0.976240i \(-0.569527\pi\)
0.963077 + 0.269226i \(0.0867679\pi\)
\(54\) 110.289 + 83.8393i 0.277933 + 0.211279i
\(55\) −627.831 138.196i −1.53921 0.338806i
\(56\) 1087.30 1280.07i 2.59459 3.05458i
\(57\) −325.891 35.4428i −0.757287 0.0823599i
\(58\) −965.162 −2.18503
\(59\) −68.6496 447.958i −0.151482 0.988460i
\(60\) −721.160 −1.55169
\(61\) −131.559 14.3079i −0.276139 0.0300319i −0.0309981 0.999519i \(-0.509869\pi\)
−0.245141 + 0.969488i \(0.578834\pi\)
\(62\) −301.983 + 355.522i −0.618579 + 0.728247i
\(63\) −278.589 61.3220i −0.557125 0.122633i
\(64\) 96.1518 + 73.0927i 0.187797 + 0.142759i
\(65\) −310.771 + 294.378i −0.593021 + 0.561740i
\(66\) 279.250 700.866i 0.520808 1.30713i
\(67\) 127.246 + 42.8741i 0.232023 + 0.0781778i 0.432912 0.901436i \(-0.357486\pi\)
−0.200888 + 0.979614i \(0.564383\pi\)
\(68\) −241.811 1474.98i −0.431234 2.63041i
\(69\) 79.5272 + 75.3322i 0.138753 + 0.131434i
\(70\) 1935.94 895.663i 3.30556 1.52932i
\(71\) −334.901 + 254.585i −0.559795 + 0.425545i −0.846434 0.532493i \(-0.821255\pi\)
0.286639 + 0.958039i \(0.407462\pi\)
\(72\) 77.1550 470.625i 0.126289 0.770329i
\(73\) −404.824 + 763.580i −0.649056 + 1.22425i 0.312572 + 0.949894i \(0.398810\pi\)
−0.961628 + 0.274356i \(0.911535\pi\)
\(74\) −229.382 + 50.4907i −0.360339 + 0.0793165i
\(75\) −128.070 59.2515i −0.197177 0.0912236i
\(76\) 741.255 + 1860.41i 1.11879 + 2.80794i
\(77\) 84.1027 + 1551.18i 0.124473 + 2.29576i
\(78\) −281.921 415.802i −0.409247 0.603594i
\(79\) 893.664 + 1052.10i 1.27272 + 1.49836i 0.776421 + 0.630215i \(0.217033\pi\)
0.496302 + 0.868150i \(0.334691\pi\)
\(80\) 769.647 + 1451.71i 1.07561 + 2.02882i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 116.266 2144.41i 0.156579 2.88793i
\(83\) 1084.81 652.708i 1.43462 0.863181i 0.435307 0.900282i \(-0.356640\pi\)
0.999312 + 0.0371012i \(0.0118124\pi\)
\(84\) 466.214 + 1679.15i 0.605573 + 2.18108i
\(85\) 286.173 1030.70i 0.365174 1.31524i
\(86\) 935.034 + 562.591i 1.17241 + 0.705416i
\(87\) 316.684 467.074i 0.390254 0.575581i
\(88\) −2581.92 + 280.801i −3.12766 + 0.340153i
\(89\) −1232.08 + 133.997i −1.46742 + 0.159591i −0.806664 0.591010i \(-0.798729\pi\)
−0.660755 + 0.750601i \(0.729764\pi\)
\(90\) 339.911 501.331i 0.398108 0.587166i
\(91\) 886.337 + 533.291i 1.02103 + 0.614331i
\(92\) 179.032 644.813i 0.202884 0.730722i
\(93\) −72.9637 262.791i −0.0813546 0.293013i
\(94\) −133.510 + 80.3301i −0.146494 + 0.0881427i
\(95\) −77.5936 + 1431.13i −0.0837993 + 1.54559i
\(96\) −622.201 + 209.644i −0.661491 + 0.222882i
\(97\) 209.325 + 394.829i 0.219111 + 0.413286i 0.968562 0.248773i \(-0.0800274\pi\)
−0.749451 + 0.662060i \(0.769683\pi\)
\(98\) −2197.65 2587.27i −2.26527 2.66688i
\(99\) 247.546 + 365.103i 0.251306 + 0.370648i
\(100\) 46.6715 + 860.805i 0.0466715 + 0.860805i
\(101\) −257.145 645.385i −0.253335 0.635824i 0.746218 0.665701i \(-0.231868\pi\)
−0.999554 + 0.0298776i \(0.990488\pi\)
\(102\) 1139.34 + 527.116i 1.10600 + 0.511689i
\(103\) 1819.82 400.573i 1.74090 0.383201i 0.772973 0.634439i \(-0.218769\pi\)
0.967925 + 0.251238i \(0.0808377\pi\)
\(104\) −810.049 + 1527.91i −0.763767 + 1.44062i
\(105\) −201.771 + 1230.75i −0.187531 + 1.14389i
\(106\) 1620.36 1231.76i 1.48474 1.12867i
\(107\) −1344.74 + 622.143i −1.21496 + 0.562101i −0.919438 0.393235i \(-0.871356\pi\)
−0.295523 + 0.955336i \(0.595494\pi\)
\(108\) 359.250 + 340.300i 0.320082 + 0.303198i
\(109\) −104.602 638.043i −0.0919178 0.560674i −0.992129 0.125220i \(-0.960036\pi\)
0.900211 0.435454i \(-0.143412\pi\)
\(110\) −3125.86 1053.22i −2.70945 0.912919i
\(111\) 50.8293 127.572i 0.0434640 0.109086i
\(112\) 2882.60 2730.54i 2.43196 2.30368i
\(113\) 1614.68 + 1227.45i 1.34422 + 1.02185i 0.996443 + 0.0842694i \(0.0268556\pi\)
0.347775 + 0.937578i \(0.386937\pi\)
\(114\) −1642.69 361.583i −1.34958 0.297065i
\(115\) 310.053 365.022i 0.251414 0.295987i
\(116\) −3427.23 372.733i −2.74319 0.298340i
\(117\) 293.723 0.232091
\(118\) −101.668 2323.09i −0.0793163 1.81235i
\(119\) −2584.89 −1.99123
\(120\) −2072.86 225.438i −1.57688 0.171496i
\(121\) 693.485 816.434i 0.521026 0.613399i
\(122\) −663.139 145.968i −0.492113 0.108322i
\(123\) 999.601 + 759.877i 0.732772 + 0.557039i
\(124\) −1209.62 + 1145.81i −0.876025 + 0.829814i
\(125\) 378.496 949.954i 0.270830 0.679732i
\(126\) −1387.04 467.350i −0.980697 0.330435i
\(127\) 15.5662 + 94.9497i 0.0108762 + 0.0663419i 0.991707 0.128520i \(-0.0410225\pi\)
−0.980831 + 0.194862i \(0.937574\pi\)
\(128\) −821.198 777.880i −0.567065 0.537152i
\(129\) −579.054 + 267.899i −0.395216 + 0.182847i
\(130\) −1748.53 + 1329.20i −1.17967 + 0.896758i
\(131\) −83.5869 + 509.858i −0.0557483 + 0.340049i 0.944195 + 0.329387i \(0.106842\pi\)
−0.999943 + 0.0106621i \(0.996606\pi\)
\(132\) 1262.26 2380.88i 0.832318 1.56992i
\(133\) 3382.41 744.524i 2.20520 0.485402i
\(134\) 625.289 + 289.289i 0.403110 + 0.186498i
\(135\) 131.081 + 328.988i 0.0835677 + 0.209739i
\(136\) −233.964 4315.20i −0.147516 2.72078i
\(137\) 903.810 + 1333.02i 0.563633 + 0.831296i 0.997572 0.0696459i \(-0.0221869\pi\)
−0.433939 + 0.900942i \(0.642877\pi\)
\(138\) 363.872 + 428.383i 0.224455 + 0.264249i
\(139\) 1099.55 + 2073.97i 0.670955 + 1.26556i 0.952070 + 0.305881i \(0.0989510\pi\)
−0.281115 + 0.959674i \(0.590704\pi\)
\(140\) 7220.30 2432.80i 4.35876 1.46864i
\(141\) 4.93210 90.9672i 0.00294580 0.0543320i
\(142\) −1849.54 + 1112.83i −1.09303 + 0.657655i
\(143\) −427.927 1541.26i −0.250245 0.901302i
\(144\) 301.625 1086.36i 0.174552 0.628678i
\(145\) −2114.06 1271.99i −1.21078 0.728501i
\(146\) −2488.59 + 3670.39i −1.41066 + 2.08057i
\(147\) 1973.15 214.593i 1.10709 0.120403i
\(148\) −834.017 + 90.7048i −0.463215 + 0.0503776i
\(149\) −405.155 + 597.559i −0.222762 + 0.328550i −0.922604 0.385748i \(-0.873943\pi\)
0.699842 + 0.714298i \(0.253254\pi\)
\(150\) −620.407 373.286i −0.337707 0.203191i
\(151\) −488.974 + 1761.12i −0.263524 + 0.949128i 0.706819 + 0.707395i \(0.250130\pi\)
−0.970343 + 0.241733i \(0.922284\pi\)
\(152\) 1549.05 + 5579.18i 0.826610 + 2.97718i
\(153\) −628.924 + 378.411i −0.332324 + 0.199952i
\(154\) −431.532 + 7959.15i −0.225804 + 4.16472i
\(155\) −1130.00 + 380.740i −0.585570 + 0.197302i
\(156\) −840.505 1585.36i −0.431373 0.813656i
\(157\) −1902.34 2239.61i −0.967029 1.13847i −0.990328 0.138746i \(-0.955693\pi\)
0.0232989 0.999729i \(-0.492583\pi\)
\(158\) 3974.86 + 5862.48i 2.00141 + 2.95186i
\(159\) 64.4279 + 1188.30i 0.0321350 + 0.592695i
\(160\) 1062.52 + 2666.71i 0.524995 + 1.31764i
\(161\) −1050.36 485.949i −0.514162 0.237877i
\(162\) −405.896 + 89.3444i −0.196853 + 0.0433306i
\(163\) −1682.90 + 3174.28i −0.808678 + 1.52533i 0.0416834 + 0.999131i \(0.486728\pi\)
−0.850362 + 0.526198i \(0.823617\pi\)
\(164\) 1241.00 7569.75i 0.590888 3.60426i
\(165\) 1535.33 1167.13i 0.724396 0.550671i
\(166\) 5895.64 2727.61i 2.75657 1.27533i
\(167\) −2980.46 2823.24i −1.38105 1.30820i −0.902858 0.429940i \(-0.858535\pi\)
−0.478189 0.878257i \(-0.658706\pi\)
\(168\) 815.151 + 4972.20i 0.374347 + 2.28341i
\(169\) 1072.65 + 361.418i 0.488234 + 0.164505i
\(170\) 2031.54 5098.79i 0.916542 2.30035i
\(171\) 713.972 676.310i 0.319291 0.302449i
\(172\) 3102.98 + 2358.82i 1.37558 + 1.04569i
\(173\) 3340.95 + 735.398i 1.46825 + 0.323187i 0.875900 0.482493i \(-0.160269\pi\)
0.592352 + 0.805679i \(0.298200\pi\)
\(174\) 1874.50 2206.83i 0.816697 0.961490i
\(175\) 1482.13 + 161.191i 0.640218 + 0.0696279i
\(176\) −6139.89 −2.62961
\(177\) 1157.58 + 713.039i 0.491576 + 0.302798i
\(178\) −6359.11 −2.67773
\(179\) 1787.56 + 194.409i 0.746416 + 0.0811776i 0.473419 0.880837i \(-0.343020\pi\)
0.272997 + 0.962015i \(0.411985\pi\)
\(180\) 1400.61 1648.92i 0.579973 0.682797i
\(181\) 1295.39 + 285.137i 0.531965 + 0.117094i 0.472827 0.881155i \(-0.343234\pi\)
0.0591382 + 0.998250i \(0.481165\pi\)
\(182\) 4225.30 + 3211.99i 1.72088 + 1.30818i
\(183\) 288.224 273.020i 0.116427 0.110286i
\(184\) 716.170 1797.45i 0.286939 0.720162i
\(185\) −568.971 191.709i −0.226117 0.0761876i
\(186\) −226.397 1380.96i −0.0892485 0.544392i
\(187\) 2901.93 + 2748.85i 1.13481 + 1.07495i
\(188\) −505.106 + 233.687i −0.195950 + 0.0906563i
\(189\) 681.276 517.892i 0.262198 0.199318i
\(190\) −1189.73 + 7257.06i −0.454276 + 2.77096i
\(191\) −1171.43 + 2209.56i −0.443780 + 0.837057i 0.556202 + 0.831047i \(0.312258\pi\)
−0.999982 + 0.00601030i \(0.998087\pi\)
\(192\) −353.868 + 77.8921i −0.133011 + 0.0292780i
\(193\) 781.236 + 361.438i 0.291371 + 0.134803i 0.560130 0.828405i \(-0.310751\pi\)
−0.268759 + 0.963208i \(0.586613\pi\)
\(194\) 848.718 + 2130.12i 0.314095 + 0.788319i
\(195\) −69.5244 1282.30i −0.0255320 0.470911i
\(196\) −6804.53 10035.9i −2.47979 3.65741i
\(197\) −958.280 1128.17i −0.346572 0.408016i 0.561065 0.827771i \(-0.310392\pi\)
−0.907637 + 0.419756i \(0.862116\pi\)
\(198\) 1060.17 + 1999.69i 0.380521 + 0.717738i
\(199\) 877.133 295.541i 0.312454 0.105278i −0.158706 0.987326i \(-0.550732\pi\)
0.471160 + 0.882048i \(0.343836\pi\)
\(200\) −134.941 + 2488.84i −0.0477089 + 0.879938i
\(201\) −345.163 + 207.678i −0.121124 + 0.0728779i
\(202\) −953.646 3434.72i −0.332170 1.19637i
\(203\) −1595.00 + 5744.69i −0.551465 + 1.98620i
\(204\) 3842.17 + 2311.75i 1.31865 + 0.793408i
\(205\) 3080.78 4543.81i 1.04961 1.54807i
\(206\) 9505.03 1033.73i 3.21479 0.349630i
\(207\) −326.700 + 35.5308i −0.109697 + 0.0119303i
\(208\) −2294.34 + 3383.90i −0.764826 + 1.12803i
\(209\) −4589.01 2761.11i −1.51879 0.913829i
\(210\) −1711.99 + 6166.03i −0.562564 + 2.02617i
\(211\) −407.408 1467.35i −0.132925 0.478752i 0.866880 0.498517i \(-0.166122\pi\)
−0.999805 + 0.0197653i \(0.993708\pi\)
\(212\) 6229.46 3748.14i 2.01812 1.21426i
\(213\) 68.3256 1260.19i 0.0219793 0.405385i
\(214\) −7204.57 + 2427.50i −2.30138 + 0.775424i
\(215\) 1306.63 + 2464.56i 0.414471 + 0.781775i
\(216\) 926.230 + 1090.44i 0.291768 + 0.343496i
\(217\) 1617.03 + 2384.94i 0.505858 + 0.746085i
\(218\) −179.607 3312.65i −0.0558004 1.02918i
\(219\) −959.681 2408.62i −0.296115 0.743194i
\(220\) −10693.0 4947.10i −3.27691 1.51606i
\(221\) 2599.37 572.165i 0.791188 0.174154i
\(222\) 330.049 622.539i 0.0997813 0.188207i
\(223\) 92.6028 564.852i 0.0278078 0.169620i −0.969271 0.245994i \(-0.920886\pi\)
0.997079 + 0.0763733i \(0.0243341\pi\)
\(224\) 5522.29 4197.94i 1.64720 1.25217i
\(225\) 384.210 177.754i 0.113840 0.0526680i
\(226\) 7555.46 + 7156.91i 2.22381 + 2.10651i
\(227\) 173.828 + 1060.30i 0.0508254 + 0.310021i 0.999989 0.00476289i \(-0.00151608\pi\)
−0.949163 + 0.314784i \(0.898068\pi\)
\(228\) −5693.44 1918.34i −1.65376 0.557216i
\(229\) −674.677 + 1693.31i −0.194690 + 0.488634i −0.993619 0.112791i \(-0.964021\pi\)
0.798929 + 0.601425i \(0.205400\pi\)
\(230\) 1784.06 1689.95i 0.511467 0.484487i
\(231\) −3710.10 2820.34i −1.05674 0.803312i
\(232\) −9734.51 2142.73i −2.75475 0.606366i
\(233\) −1700.37 + 2001.83i −0.478091 + 0.562852i −0.947346 0.320210i \(-0.896246\pi\)
0.469256 + 0.883062i \(0.344522\pi\)
\(234\) 1498.26 + 162.946i 0.418566 + 0.0455218i
\(235\) −398.302 −0.110563
\(236\) 536.130 8288.40i 0.147877 2.28614i
\(237\) −4141.26 −1.13504
\(238\) −13185.4 1434.00i −3.59110 0.390555i
\(239\) −768.216 + 904.414i −0.207915 + 0.244777i −0.856229 0.516597i \(-0.827199\pi\)
0.648314 + 0.761373i \(0.275475\pi\)
\(240\) −4814.08 1059.66i −1.29478 0.285003i
\(241\) −4229.19 3214.95i −1.13040 0.859307i −0.139014 0.990290i \(-0.544393\pi\)
−0.991385 + 0.130983i \(0.958187\pi\)
\(242\) 3990.35 3779.86i 1.05996 1.00404i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −2298.39 774.418i −0.603030 0.203185i
\(245\) −1403.89 8563.35i −0.366087 2.23303i
\(246\) 4677.35 + 4430.62i 1.21226 + 1.14832i
\(247\) −3236.55 + 1497.39i −0.833753 + 0.385735i
\(248\) −3835.05 + 2915.33i −0.981959 + 0.746466i
\(249\) −614.464 + 3748.06i −0.156386 + 0.953911i
\(250\) 2457.68 4635.68i 0.621750 1.17275i
\(251\) −761.267 + 167.568i −0.191437 + 0.0421385i −0.309654 0.950849i \(-0.600213\pi\)
0.118217 + 0.992988i \(0.462282\pi\)
\(252\) −4744.82 2195.19i −1.18609 0.548745i
\(253\) 662.414 + 1662.53i 0.164607 + 0.413133i
\(254\) 26.7280 + 492.968i 0.00660260 + 0.121778i
\(255\) 1800.89 + 2656.12i 0.442260 + 0.652284i
\(256\) −4382.87 5159.91i −1.07004 1.25974i
\(257\) −195.869 369.449i −0.0475408 0.0896715i 0.858603 0.512641i \(-0.171333\pi\)
−0.906144 + 0.422969i \(0.860988\pi\)
\(258\) −3102.34 + 1045.30i −0.748617 + 0.252239i
\(259\) −78.5478 + 1448.73i −0.0188445 + 0.347566i
\(260\) −6722.24 + 4044.64i −1.60345 + 0.964761i
\(261\) 452.907 + 1631.22i 0.107411 + 0.386859i
\(262\) −709.221 + 2554.38i −0.167236 + 0.602329i
\(263\) 3952.74 + 2378.28i 0.926753 + 0.557609i 0.897040 0.441950i \(-0.145713\pi\)
0.0297134 + 0.999558i \(0.490541\pi\)
\(264\) 4372.46 6448.89i 1.01934 1.50342i
\(265\) 5172.51 562.544i 1.19904 0.130403i
\(266\) 17666.5 1921.35i 4.07219 0.442877i
\(267\) 2086.52 3077.38i 0.478250 0.705365i
\(268\) 2108.64 + 1268.73i 0.480618 + 0.289178i
\(269\) −147.023 + 529.530i −0.0333241 + 0.120022i −0.978341 0.206998i \(-0.933631\pi\)
0.945017 + 0.327020i \(0.106045\pi\)
\(270\) 486.125 + 1750.87i 0.109573 + 0.394646i
\(271\) −310.784 + 186.993i −0.0696634 + 0.0419151i −0.549959 0.835191i \(-0.685357\pi\)
0.480296 + 0.877106i \(0.340529\pi\)
\(272\) 553.111 10201.5i 0.123299 2.27411i
\(273\) −2940.77 + 990.861i −0.651954 + 0.219669i
\(274\) 3870.77 + 7301.05i 0.853438 + 1.60975i
\(275\) −1492.49 1757.10i −0.327275 0.385298i
\(276\) 1126.65 + 1661.68i 0.245711 + 0.362397i
\(277\) −231.578 4271.21i −0.0502317 0.926469i −0.909696 0.415274i \(-0.863686\pi\)
0.859465 0.511195i \(-0.170797\pi\)
\(278\) 4458.19 + 11189.2i 0.961814 + 2.41397i
\(279\) 742.576 + 343.552i 0.159344 + 0.0737202i
\(280\) 21514.1 4735.62i 4.59184 1.01074i
\(281\) 1958.12 3693.40i 0.415699 0.784092i −0.583917 0.811814i \(-0.698480\pi\)
0.999616 + 0.0277220i \(0.00882531\pi\)
\(282\) 75.6233 461.282i 0.0159692 0.0974076i
\(283\) −2383.75 + 1812.08i −0.500705 + 0.380626i −0.824823 0.565390i \(-0.808725\pi\)
0.324118 + 0.946017i \(0.394932\pi\)
\(284\) −6997.37 + 3237.33i −1.46203 + 0.676409i
\(285\) −3121.56 2956.90i −0.648790 0.614566i
\(286\) −1327.80 8099.25i −0.274527 1.67454i
\(287\) −12571.5 4235.82i −2.58561 0.871194i
\(288\) 729.066 1829.82i 0.149169 0.374385i
\(289\) −1261.86 + 1195.30i −0.256842 + 0.243294i
\(290\) −10078.0 7661.12i −2.04070 1.55130i
\(291\) −1309.31 288.202i −0.263757 0.0580573i
\(292\) −10254.3 + 12072.3i −2.05509 + 2.41944i
\(293\) −4281.09 465.597i −0.853598 0.0928344i −0.329151 0.944277i \(-0.606762\pi\)
−0.524447 + 0.851443i \(0.675728\pi\)
\(294\) 10183.9 2.02020
\(295\) 2838.91 5222.40i 0.560297 1.03071i
\(296\) −2425.61 −0.476303
\(297\) −1315.58 143.077i −0.257028 0.0279535i
\(298\) −2398.17 + 2823.35i −0.466183 + 0.548833i
\(299\) 1163.81 + 256.174i 0.225100 + 0.0495482i
\(300\) −2058.86 1565.11i −0.396228 0.301205i
\(301\) 4893.78 4635.64i 0.937119 0.887686i
\(302\) −3471.23 + 8712.12i −0.661413 + 1.66002i
\(303\) 1975.08 + 665.482i 0.374473 + 0.126175i
\(304\) 2214.57 + 13508.3i 0.417811 + 2.54853i
\(305\) −1260.15 1193.67i −0.236576 0.224097i
\(306\) −3418.03 + 1581.35i −0.638548 + 0.295424i
\(307\) 7306.41 5554.19i 1.35830 1.03256i 0.363409 0.931630i \(-0.381613\pi\)
0.994894 0.100925i \(-0.0321803\pi\)
\(308\) −4606.06 + 28095.7i −0.852126 + 5.19774i
\(309\) −2618.48 + 4938.98i −0.482072 + 0.909284i
\(310\) −5975.25 + 1315.25i −1.09475 + 0.240972i
\(311\) −1410.23 652.440i −0.257127 0.118960i 0.287091 0.957903i \(-0.407312\pi\)
−0.544219 + 0.838944i \(0.683174\pi\)
\(312\) −1920.31 4819.62i −0.348449 0.874542i
\(313\) 241.816 + 4460.04i 0.0436685 + 0.805419i 0.935560 + 0.353169i \(0.114896\pi\)
−0.891891 + 0.452250i \(0.850621\pi\)
\(314\) −8461.29 12479.5i −1.52069 2.24286i
\(315\) −2422.21 2851.65i −0.433258 0.510071i
\(316\) 11850.4 + 22352.3i 2.10962 + 3.97916i
\(317\) 32.4024 10.9176i 0.00574101 0.00193437i −0.316430 0.948616i \(-0.602484\pi\)
0.322171 + 0.946682i \(0.395588\pi\)
\(318\) −330.581 + 6097.20i −0.0582957 + 1.07520i
\(319\) 7899.70 4753.09i 1.38651 0.834238i
\(320\) 423.814 + 1526.44i 0.0740372 + 0.266658i
\(321\) 1189.18 4283.03i 0.206771 0.744720i
\(322\) −5088.24 3061.49i −0.880611 0.529846i
\(323\) 5001.03 7375.97i 0.861501 1.27062i
\(324\) −1475.81 + 160.504i −0.253054 + 0.0275213i
\(325\) −1526.11 + 165.974i −0.260471 + 0.0283280i
\(326\) −10345.3 + 15258.2i −1.75759 + 2.59225i
\(327\) 1662.03 + 1000.01i 0.281072 + 0.169115i
\(328\) 5933.39 21370.1i 0.998831 3.59746i
\(329\) 257.493 + 927.407i 0.0431491 + 0.155409i
\(330\) 8479.10 5101.71i 1.41442 0.851029i
\(331\) −120.046 + 2214.12i −0.0199346 + 0.367671i 0.971498 + 0.237049i \(0.0761802\pi\)
−0.991432 + 0.130622i \(0.958303\pi\)
\(332\) 21988.4 7408.75i 3.63485 1.22472i
\(333\) 192.973 + 363.986i 0.0317563 + 0.0598988i
\(334\) −13636.9 16054.6i −2.23407 2.63015i
\(335\) 988.356 + 1457.72i 0.161193 + 0.237742i
\(336\) 644.883 + 11894.2i 0.104706 + 1.93119i
\(337\) −2411.36 6052.06i −0.389778 0.978269i −0.984664 0.174459i \(-0.944182\pi\)
0.594887 0.803810i \(-0.297197\pi\)
\(338\) 5271.02 + 2438.63i 0.848241 + 0.392438i
\(339\) −5942.52 + 1308.05i −0.952075 + 0.209567i
\(340\) 9182.96 17320.9i 1.46475 2.76282i
\(341\) 720.860 4397.05i 0.114477 0.698281i
\(342\) 4017.12 3053.73i 0.635149 0.482827i
\(343\) −9164.63 + 4240.01i −1.44269 + 0.667461i
\(344\) 8181.65 + 7750.07i 1.28234 + 1.21470i
\(345\) 232.447 + 1417.86i 0.0362740 + 0.221261i
\(346\) 16634.0 + 5604.65i 2.58454 + 0.870831i
\(347\) −2714.03 + 6811.70i −0.419875 + 1.05381i 0.555158 + 0.831745i \(0.312658\pi\)
−0.975033 + 0.222062i \(0.928721\pi\)
\(348\) 7508.47 7112.40i 1.15660 1.09559i
\(349\) 6516.12 + 4953.43i 0.999427 + 0.759745i 0.970811 0.239846i \(-0.0770969\pi\)
0.0286160 + 0.999590i \(0.490890\pi\)
\(350\) 7470.81 + 1644.45i 1.14095 + 0.251142i
\(351\) −570.456 + 671.593i −0.0867484 + 0.102128i
\(352\) −10663.8 1159.76i −1.61472 0.175612i
\(353\) 8492.07 1.28042 0.640209 0.768201i \(-0.278848\pi\)
0.640209 + 0.768201i \(0.278848\pi\)
\(354\) 5509.17 + 4279.35i 0.827144 + 0.642499i
\(355\) −5517.78 −0.824939
\(356\) −22580.8 2455.80i −3.36173 0.365611i
\(357\) 5020.27 5910.32i 0.744260 0.876211i
\(358\) 9010.38 + 1983.33i 1.33020 + 0.292800i
\(359\) −958.771 728.839i −0.140953 0.107149i 0.532322 0.846542i \(-0.321320\pi\)
−0.673274 + 0.739393i \(0.735113\pi\)
\(360\) 4541.29 4301.74i 0.664853 0.629782i
\(361\) −1880.73 + 4720.27i −0.274198 + 0.688186i
\(362\) 6449.52 + 2173.10i 0.936407 + 0.315512i
\(363\) 519.907 + 3171.29i 0.0751736 + 0.458539i
\(364\) 13763.3 + 13037.3i 1.98185 + 1.87731i
\(365\) −10288.1 + 4759.79i −1.47536 + 0.682572i
\(366\) 1621.67 1232.77i 0.231602 0.176059i
\(367\) 827.993 5050.53i 0.117768 0.718353i −0.860256 0.509862i \(-0.829696\pi\)
0.978024 0.208491i \(-0.0668552\pi\)
\(368\) 2142.60 4041.37i 0.303507 0.572475i
\(369\) −3678.83 + 809.772i −0.519003 + 0.114241i
\(370\) −2795.93 1293.54i −0.392848 0.181751i
\(371\) −4653.74 11680.0i −0.651240 1.63449i
\(372\) −270.611 4991.13i −0.0377165 0.695640i
\(373\) −1392.15 2053.26i −0.193251 0.285024i 0.718702 0.695318i \(-0.244736\pi\)
−0.911953 + 0.410294i \(0.865426\pi\)
\(374\) 13277.6 + 15631.6i 1.83574 + 2.16120i
\(375\) 1436.96 + 2710.39i 0.197878 + 0.373237i
\(376\) −1524.90 + 513.799i −0.209151 + 0.0704712i
\(377\) 332.354 6129.92i 0.0454035 0.837418i
\(378\) 3762.45 2263.79i 0.511957 0.308034i
\(379\) −1992.73 7177.16i −0.270078 0.972733i −0.966830 0.255421i \(-0.917786\pi\)
0.696752 0.717312i \(-0.254628\pi\)
\(380\) −7027.25 + 25309.9i −0.948658 + 3.41676i
\(381\) −247.333 148.815i −0.0332579 0.0200106i
\(382\) −7201.18 + 10620.9i −0.964514 + 1.42255i
\(383\) 9887.75 1075.36i 1.31917 0.143468i 0.578688 0.815549i \(-0.303565\pi\)
0.740478 + 0.672081i \(0.234599\pi\)
\(384\) 3373.51 366.891i 0.448317 0.0487574i
\(385\) −11434.6 + 16864.7i −1.51366 + 2.23248i
\(386\) 3784.53 + 2277.07i 0.499035 + 0.300259i
\(387\) 512.068 1844.30i 0.0672607 0.242251i
\(388\) 2191.12 + 7891.69i 0.286693 + 1.03258i
\(389\) 1268.93 763.491i 0.165392 0.0995130i −0.430451 0.902614i \(-0.641646\pi\)
0.595843 + 0.803101i \(0.296818\pi\)
\(390\) 356.731 6579.51i 0.0463174 0.854273i
\(391\) −2822.00 + 950.843i −0.364999 + 0.122983i
\(392\) −16421.3 30973.8i −2.11582 3.99086i
\(393\) −1003.44 1181.35i −0.128797 0.151631i
\(394\) −4262.26 6286.36i −0.544999 0.803813i
\(395\) 980.239 + 18079.4i 0.124864 + 2.30298i
\(396\) 2992.34 + 7510.21i 0.379724 + 0.953035i
\(397\) 3882.13 + 1796.07i 0.490777 + 0.227058i 0.649639 0.760243i \(-0.274920\pi\)
−0.158861 + 0.987301i \(0.550782\pi\)
\(398\) 4638.16 1020.94i 0.584145 0.128580i
\(399\) −4866.83 + 9179.81i −0.610642 + 1.15179i
\(400\) −953.298 + 5814.86i −0.119162 + 0.726858i
\(401\) 509.226 387.104i 0.0634153 0.0482071i −0.572986 0.819565i \(-0.694215\pi\)
0.636402 + 0.771358i \(0.280422\pi\)
\(402\) −1875.87 + 867.868i −0.232736 + 0.107675i
\(403\) −2153.99 2040.37i −0.266248 0.252204i
\(404\) −2059.89 12564.8i −0.253671 1.54733i
\(405\) −1006.81 339.232i −0.123527 0.0416212i
\(406\) −11322.9 + 28418.4i −1.38411 + 3.47385i
\(407\) 1628.80 1542.88i 0.198370 0.187906i
\(408\) 10321.0 + 7845.86i 1.25237 + 0.952029i
\(409\) −12075.8 2658.09i −1.45993 0.321354i −0.587153 0.809476i \(-0.699751\pi\)
−0.872775 + 0.488122i \(0.837682\pi\)
\(410\) 18235.6 21468.6i 2.19656 2.58600i
\(411\) −4803.28 522.388i −0.576467 0.0626946i
\(412\) 34150.9 4.08373
\(413\) −13995.1 3233.95i −1.66745 0.385308i
\(414\) −1686.19 −0.200173
\(415\) 16508.3 + 1795.39i 1.95268 + 0.212367i
\(416\) −4624.01 + 5443.81i −0.544978 + 0.641597i
\(417\) −6877.62 1513.88i −0.807670 0.177782i
\(418\) −21876.5 16630.1i −2.55984 1.94594i
\(419\) 10178.8 9641.87i 1.18679 1.12419i 0.197192 0.980365i \(-0.436818\pi\)
0.989603 0.143827i \(-0.0459408\pi\)
\(420\) −8460.40 + 21234.0i −0.982917 + 2.46694i
\(421\) 16.0890 + 5.42102i 0.00186254 + 0.000627564i 0.320233 0.947339i \(-0.396239\pi\)
−0.318370 + 0.947966i \(0.603135\pi\)
\(422\) −1264.13 7710.88i −0.145823 0.889478i
\(423\) 198.416 + 187.950i 0.0228069 + 0.0216039i
\(424\) 19077.3 8826.11i 2.18509 1.01093i
\(425\) 3053.90 2321.51i 0.348555 0.264964i
\(426\) 1047.63 6390.26i 0.119150 0.726782i
\(427\) −1964.70 + 3705.81i −0.222666 + 0.419992i
\(428\) −26520.4 + 5837.59i −2.99512 + 0.659276i
\(429\) 4355.16 + 2014.91i 0.490138 + 0.226762i
\(430\) 5297.78 + 13296.4i 0.594144 + 1.49119i
\(431\) −92.9185 1713.78i −0.0103845 0.191531i −0.999123 0.0418762i \(-0.986666\pi\)
0.988738 0.149655i \(-0.0478163\pi\)
\(432\) 1898.13 + 2799.54i 0.211398 + 0.311789i
\(433\) −7457.13 8779.21i −0.827637 0.974370i 0.172306 0.985043i \(-0.444878\pi\)
−0.999943 + 0.0106738i \(0.996602\pi\)
\(434\) 6925.31 + 13062.5i 0.765957 + 1.44475i
\(435\) 7014.21 2363.36i 0.773117 0.260493i
\(436\) 641.531 11832.3i 0.0704674 1.29969i
\(437\) 3418.80 2057.02i 0.374241 0.225174i
\(438\) −3559.07 12818.6i −0.388262 1.39839i
\(439\) 3339.21 12026.7i 0.363033 1.30753i −0.526312 0.850291i \(-0.676426\pi\)
0.889345 0.457236i \(-0.151161\pi\)
\(440\) −29188.8 17562.3i −3.16255 1.90284i
\(441\) −3341.50 + 4928.34i −0.360814 + 0.532161i
\(442\) 13576.6 1476.55i 1.46103 0.158897i
\(443\) −2003.08 + 217.848i −0.214828 + 0.0233640i −0.214900 0.976636i \(-0.568943\pi\)
7.18525e−5 1.00000i \(0.499977\pi\)
\(444\) 1412.40 2083.13i 0.150967 0.222660i
\(445\) −13928.8 8380.66i −1.48379 0.892767i
\(446\) 785.719 2829.90i 0.0834190 0.300448i
\(447\) −579.435 2086.94i −0.0613117 0.220825i
\(448\) 3280.18 1973.62i 0.345924 0.208135i
\(449\) −215.495 + 3974.57i −0.0226500 + 0.417754i 0.965117 + 0.261818i \(0.0843221\pi\)
−0.987767 + 0.155936i \(0.950161\pi\)
\(450\) 2058.44 693.570i 0.215635 0.0726560i
\(451\) 9608.85 + 18124.2i 1.00324 + 1.89232i
\(452\) 24065.0 + 28331.5i 2.50425 + 2.94824i
\(453\) −3077.12 4538.42i −0.319152 0.470714i
\(454\) 298.471 + 5504.98i 0.0308545 + 0.569078i
\(455\) 5021.87 + 12603.9i 0.517426 + 1.29864i
\(456\) −15765.2 7293.77i −1.61902 0.749040i
\(457\) −3859.35 + 849.507i −0.395039 + 0.0869546i −0.408047 0.912961i \(-0.633790\pi\)
0.0130086 + 0.999915i \(0.495859\pi\)
\(458\) −4380.87 + 8263.20i −0.446953 + 0.843044i
\(459\) 356.239 2172.96i 0.0362262 0.220970i
\(460\) 6987.71 5311.92i 0.708269 0.538412i
\(461\) 4491.05 2077.78i 0.453729 0.209917i −0.179695 0.983722i \(-0.557511\pi\)
0.633424 + 0.773805i \(0.281649\pi\)
\(462\) −17360.4 16444.6i −1.74822 1.65600i
\(463\) −2609.29 15916.0i −0.261910 1.59758i −0.710405 0.703793i \(-0.751488\pi\)
0.448495 0.893785i \(-0.351960\pi\)
\(464\) −22330.7 7524.07i −2.23421 0.752794i
\(465\) 1324.07 3323.17i 0.132048 0.331416i
\(466\) −9784.03 + 9267.93i −0.972611 + 0.921306i
\(467\) 10814.1 + 8220.70i 1.07156 + 0.814579i 0.983386 0.181526i \(-0.0581036\pi\)
0.0881744 + 0.996105i \(0.471897\pi\)
\(468\) 5257.30 + 1157.22i 0.519271 + 0.114300i
\(469\) 2755.20 3243.67i 0.271265 0.319358i
\(470\) −2031.71 220.962i −0.199396 0.0216856i
\(471\) 8815.50 0.862413
\(472\) 4132.01 23656.1i 0.402947 2.30691i
\(473\) −10423.7 −1.01328
\(474\) −21124.3 2297.41i −2.04699 0.222623i
\(475\) −3327.45 + 3917.38i −0.321419 + 0.378403i
\(476\) −46266.6 10184.0i −4.45510 0.980641i
\(477\) −2842.17 2160.56i −0.272817 0.207390i
\(478\) −4420.35 + 4187.18i −0.422976 + 0.400664i
\(479\) 2480.14 6224.68i 0.236577 0.593764i −0.761972 0.647610i \(-0.775769\pi\)
0.998549 + 0.0538459i \(0.0171480\pi\)
\(480\) −8160.98 2749.75i −0.776034 0.261476i
\(481\) −241.688 1474.23i −0.0229106 0.139749i
\(482\) −19789.3 18745.4i −1.87008 1.77143i
\(483\) 3151.08 1457.85i 0.296851 0.137338i
\(484\) 15629.2 11881.0i 1.46781 1.11580i
\(485\) −948.283 + 5784.27i −0.0887821 + 0.541547i
\(486\) 584.029 1101.60i 0.0545105 0.102818i
\(487\) −3347.70 + 736.884i −0.311496 + 0.0685655i −0.367967 0.929839i \(-0.619946\pi\)
0.0564711 + 0.998404i \(0.482015\pi\)
\(488\) −6364.28 2944.43i −0.590364 0.273131i
\(489\) −3989.49 10012.9i −0.368939 0.925967i
\(490\) −2410.55 44459.9i −0.222240 4.09897i
\(491\) 9850.51 + 14528.4i 0.905392 + 1.33535i 0.941856 + 0.336018i \(0.109080\pi\)
−0.0364642 + 0.999335i \(0.511609\pi\)
\(492\) 14897.9 + 17539.2i 1.36514 + 1.60717i
\(493\) 7185.70 + 13553.7i 0.656445 + 1.23819i
\(494\) −17340.1 + 5842.57i −1.57929 + 0.532125i
\(495\) −313.234 + 5777.26i −0.0284421 + 0.524583i
\(496\) −9758.42 + 5871.44i −0.883399 + 0.531523i
\(497\) 3567.12 + 12847.6i 0.321946 + 1.15955i
\(498\) −5213.62 + 18777.8i −0.469132 + 1.68966i
\(499\) 7472.75 + 4496.20i 0.670393 + 0.403362i 0.809665 0.586892i \(-0.199649\pi\)
−0.139272 + 0.990254i \(0.544476\pi\)
\(500\) 10517.3 15511.9i 0.940697 1.38742i
\(501\) 12243.8 1331.60i 1.09184 0.118745i
\(502\) −3976.14 + 432.431i −0.353513 + 0.0384469i
\(503\) 265.975 392.283i 0.0235770 0.0347735i −0.815718 0.578450i \(-0.803658\pi\)
0.839295 + 0.543677i \(0.182968\pi\)
\(504\) −12952.0 7792.97i −1.14470 0.688743i
\(505\) 2437.78 8780.10i 0.214812 0.773682i
\(506\) 2456.63 + 8847.97i 0.215831 + 0.777352i
\(507\) −2909.63 + 1750.67i −0.254874 + 0.153353i
\(508\) −95.4688 + 1760.82i −0.00833808 + 0.153787i
\(509\) −3121.61 + 1051.79i −0.271833 + 0.0915911i −0.451917 0.892060i \(-0.649260\pi\)
0.180084 + 0.983651i \(0.442363\pi\)
\(510\) 7712.73 + 14547.7i 0.669658 + 1.26311i
\(511\) 17733.8 + 20877.8i 1.53522 + 1.80740i
\(512\) −14416.0 21262.0i −1.24434 1.83527i
\(513\) 159.727 + 2945.99i 0.0137468 + 0.253545i
\(514\) −794.162 1993.20i −0.0681498 0.171043i
\(515\) 22181.8 + 10262.4i 1.89796 + 0.878089i
\(516\) −11419.9 + 2513.71i −0.974287 + 0.214457i
\(517\) 697.157 1314.98i 0.0593055 0.111862i
\(518\) −1204.36 + 7346.30i −0.102156 + 0.623123i
\(519\) −8170.13 + 6210.77i −0.691000 + 0.525284i
\(520\) −20586.4 + 9524.29i −1.73610 + 0.803207i
\(521\) −5587.72 5292.97i −0.469870 0.445085i 0.415761 0.909474i \(-0.363515\pi\)
−0.885631 + 0.464389i \(0.846274\pi\)
\(522\) 1405.31 + 8572.03i 0.117833 + 0.718750i
\(523\) −6673.91 2248.70i −0.557992 0.188009i 0.0261541 0.999658i \(-0.491674\pi\)
−0.584146 + 0.811649i \(0.698570\pi\)
\(524\) −3504.86 + 8796.55i −0.292196 + 0.733357i
\(525\) −3247.08 + 3075.80i −0.269932 + 0.255693i
\(526\) 18843.3 + 14324.3i 1.56199 + 1.18739i
\(527\) 7240.84 + 1593.83i 0.598512 + 0.131742i
\(528\) 11924.6 14038.8i 0.982866 1.15712i
\(529\) 10770.2 + 1171.33i 0.885199 + 0.0962712i
\(530\) 26696.7 2.18798
\(531\) −3878.55 + 1261.95i −0.316977 + 0.103134i
\(532\) 63474.5 5.17287
\(533\) 13579.5 + 1476.86i 1.10355 + 0.120018i
\(534\) 12350.4 14540.0i 1.00085 1.17829i
\(535\) −18979.8 4177.78i −1.53378 0.337610i
\(536\) 5664.34 + 4305.92i 0.456460 + 0.346992i
\(537\) −3916.24 + 3709.66i −0.314708 + 0.298107i
\(538\) −1043.72 + 2619.54i −0.0836393 + 0.209919i
\(539\) 30728.8 + 10353.7i 2.45563 + 0.827398i
\(540\) 1050.04 + 6404.94i 0.0836785 + 0.510416i
\(541\) 9424.75 + 8927.59i 0.748986 + 0.709477i 0.963637 0.267213i \(-0.0861029\pi\)
−0.214651 + 0.976691i \(0.568861\pi\)
\(542\) −1689.03 + 781.427i −0.133856 + 0.0619284i
\(543\) −3167.82 + 2408.11i −0.250357 + 0.190317i
\(544\) 2887.60 17613.6i 0.227583 1.38819i
\(545\) 3972.33 7492.61i 0.312213 0.588896i
\(546\) −15550.4 + 3422.90i −1.21885 + 0.268290i
\(547\) −1213.16 561.269i −0.0948283 0.0438723i 0.371902 0.928272i \(-0.378706\pi\)
−0.466730 + 0.884400i \(0.654568\pi\)
\(548\) 10925.3 + 27420.4i 0.851651 + 2.13748i
\(549\) 64.4803 + 1189.27i 0.00501267 + 0.0924532i
\(550\) −6638.34 9790.82i −0.514654 0.759058i
\(551\) −13306.5 15665.7i −1.02882 1.21122i
\(552\) 2718.93 + 5128.45i 0.209647 + 0.395437i
\(553\) 41462.5 13970.3i 3.18836 1.07428i
\(554\) 1188.23 21915.6i 0.0911247 1.68070i
\(555\) 1543.37 928.615i 0.118040 0.0710226i
\(556\) 11509.6 + 41453.8i 0.877905 + 3.16193i
\(557\) 380.621 1370.87i 0.0289541 0.104283i −0.947661 0.319278i \(-0.896560\pi\)
0.976615 + 0.214995i \(0.0689734\pi\)
\(558\) 3597.25 + 2164.39i 0.272910 + 0.164204i
\(559\) −3895.10 + 5744.84i −0.294714 + 0.434670i
\(560\) 51773.6 5630.72i 3.90685 0.424895i
\(561\) −11921.2 + 1296.51i −0.897173 + 0.0975734i
\(562\) 12037.2 17753.5i 0.903484 1.33254i
\(563\) −1068.45 642.865i −0.0799819 0.0481235i 0.475001 0.879985i \(-0.342448\pi\)
−0.554983 + 0.831862i \(0.687275\pi\)
\(564\) 446.674 1608.78i 0.0333482 0.120109i
\(565\) 7117.13 + 25633.6i 0.529946 + 1.90869i
\(566\) −13164.7 + 7920.91i −0.977653 + 0.588235i
\(567\) −138.992 + 2563.56i −0.0102947 + 0.189875i
\(568\) −21124.9 + 7117.79i −1.56053 + 0.525803i
\(569\) 933.638 + 1761.03i 0.0687876 + 0.129747i 0.915521 0.402270i \(-0.131779\pi\)
−0.846733 + 0.532018i \(0.821434\pi\)
\(570\) −14282.5 16814.7i −1.04952 1.23559i
\(571\) 8631.88 + 12731.1i 0.632632 + 0.933063i 0.999996 + 0.00298545i \(0.000950298\pi\)
−0.367363 + 0.930078i \(0.619739\pi\)
\(572\) −1587.12 29272.7i −0.116015 2.13977i
\(573\) −2777.01 6969.78i −0.202463 0.508144i
\(574\) −61776.4 28580.8i −4.49216 2.07829i
\(575\) 1677.37 369.218i 0.121654 0.0267782i
\(576\) 509.168 960.392i 0.0368322 0.0694728i
\(577\) 2566.68 15656.1i 0.185186 1.12958i −0.716627 0.697457i \(-0.754315\pi\)
0.901813 0.432127i \(-0.142237\pi\)
\(578\) −7099.80 + 5397.13i −0.510922 + 0.388393i
\(579\) −2343.71 + 1084.32i −0.168223 + 0.0778283i
\(580\) −32827.8 31096.1i −2.35017 2.22620i
\(581\) −6491.88 39598.7i −0.463560 2.82759i
\(582\) −6518.84 2196.45i −0.464286 0.156436i
\(583\) −7196.35 + 18061.5i −0.511222 + 1.28307i
\(584\) −33248.1 + 31494.3i −2.35585 + 2.23158i
\(585\) 3066.99 + 2331.47i 0.216760 + 0.164777i
\(586\) −21579.3 4749.96i −1.52122 0.334845i
\(587\) 516.489 608.058i 0.0363165 0.0427551i −0.743704 0.668509i \(-0.766933\pi\)
0.780020 + 0.625754i \(0.215209\pi\)
\(588\) 36162.5 + 3932.91i 2.53625 + 0.275834i
\(589\) −9933.92 −0.694940
\(590\) 17378.3 25064.2i 1.21263 1.74895i
\(591\) 4440.69 0.309079
\(592\) −5700.74 619.993i −0.395775 0.0430431i
\(593\) 5534.33 6515.52i 0.383251 0.451198i −0.536383 0.843975i \(-0.680210\pi\)
0.919634 + 0.392777i \(0.128486\pi\)
\(594\) −6631.29 1459.66i −0.458056 0.100826i
\(595\) −26990.9 20518.0i −1.85970 1.41371i
\(596\) −9606.09 + 9099.37i −0.660203 + 0.625377i
\(597\) −1027.78 + 2579.54i −0.0704595 + 0.176840i
\(598\) 5794.40 + 1952.36i 0.396239 + 0.133508i
\(599\) 2131.86 + 13003.8i 0.145418 + 0.887010i 0.954259 + 0.298982i \(0.0966471\pi\)
−0.808841 + 0.588028i \(0.799905\pi\)
\(600\) −5428.62 5142.27i −0.369371 0.349887i
\(601\) −13657.8 + 6318.77i −0.926977 + 0.428865i −0.824495 0.565870i \(-0.808541\pi\)
−0.102482 + 0.994735i \(0.532679\pi\)
\(602\) 27534.5 20931.2i 1.86416 1.41710i
\(603\) 195.509 1192.55i 0.0132036 0.0805382i
\(604\) −15690.6 + 29595.6i −1.05702 + 1.99376i
\(605\) 13721.8 3020.40i 0.922100 0.202970i
\(606\) 9705.58 + 4490.28i 0.650598 + 0.300998i
\(607\) −3269.82 8206.64i −0.218646 0.548760i 0.778209 0.628005i \(-0.216128\pi\)
−0.996855 + 0.0792452i \(0.974749\pi\)
\(608\) 1294.72 + 23879.6i 0.0863613 + 1.59284i
\(609\) −10037.4 14804.0i −0.667875 0.985042i
\(610\) −5765.72 6787.93i −0.382700 0.450550i
\(611\) −464.217 875.605i −0.0307368 0.0579758i
\(612\) −12747.9 + 4295.26i −0.841998 + 0.283702i
\(613\) −113.912 + 2100.98i −0.00750546 + 0.138430i 0.992379 + 0.123224i \(0.0393233\pi\)
−0.999884 + 0.0152063i \(0.995159\pi\)
\(614\) 40350.8 24278.3i 2.65216 1.59575i
\(615\) 4405.99 + 15869.0i 0.288889 + 1.04048i
\(616\) −22022.3 + 79317.0i −1.44042 + 5.18794i
\(617\) −20301.7 12215.2i −1.32466 0.797024i −0.335247 0.942130i \(-0.608820\pi\)
−0.989416 + 0.145107i \(0.953647\pi\)
\(618\) −16096.7 + 23740.8i −1.04774 + 1.54530i
\(619\) −7231.91 + 786.518i −0.469588 + 0.0510708i −0.339854 0.940478i \(-0.610378\pi\)
−0.129734 + 0.991549i \(0.541412\pi\)
\(620\) −21725.7 + 2362.81i −1.40730 + 0.153053i
\(621\) 553.264 816.003i 0.0357515 0.0527296i
\(622\) −6831.53 4110.39i −0.440385 0.264971i
\(623\) −10508.9 + 37849.7i −0.675811 + 2.43405i
\(624\) −3281.27 11818.0i −0.210506 0.758174i
\(625\) 16530.6 9946.15i 1.05796 0.636553i
\(626\) −1240.76 + 22884.5i −0.0792186 + 1.46110i
\(627\) 15225.8 5130.18i 0.969794 0.326762i
\(628\) −25226.1 47581.4i −1.60291 3.02341i
\(629\) 2416.80 + 2845.27i 0.153202 + 0.180363i
\(630\) −10773.6 15889.8i −0.681317 1.00487i
\(631\) −374.988 6916.24i −0.0236577 0.436341i −0.986237 0.165340i \(-0.947128\pi\)
0.962579 0.271001i \(-0.0873548\pi\)
\(632\) 27074.9 + 67952.8i 1.70408 + 4.27692i
\(633\) 4146.33 + 1918.30i 0.260350 + 0.120451i
\(634\) 171.339 37.7146i 0.0107330 0.00236252i
\(635\) −591.138 + 1115.00i −0.0369427 + 0.0696813i
\(636\) −3528.53 + 21523.1i −0.219993 + 1.34190i
\(637\) 17189.0 13066.7i 1.06916 0.812751i
\(638\) 42932.7 19862.8i 2.66414 1.23256i
\(639\) 2748.71 + 2603.72i 0.170168 + 0.161192i
\(640\) −2400.24 14640.8i −0.148247 0.904266i
\(641\) −883.317 297.624i −0.0544289 0.0183392i 0.291955 0.956432i \(-0.405694\pi\)
−0.346384 + 0.938093i \(0.612591\pi\)
\(642\) 8441.97 21187.7i 0.518969 1.30251i
\(643\) −12732.7 + 12061.0i −0.780915 + 0.739722i −0.970228 0.242195i \(-0.922133\pi\)
0.189312 + 0.981917i \(0.439374\pi\)
\(644\) −16885.7 12836.2i −1.03321 0.785428i
\(645\) −8172.86 1798.98i −0.498924 0.109821i
\(646\) 29601.9 34850.0i 1.80289 2.12253i
\(647\) −23763.3 2584.41i −1.44394 0.157038i −0.647645 0.761942i \(-0.724246\pi\)
−0.796298 + 0.604904i \(0.793211\pi\)
\(648\) −4292.16 −0.260204
\(649\) 12272.6 + 18513.4i 0.742280 + 1.11975i
\(650\) −7876.65 −0.475304
\(651\) −8593.67 934.618i −0.517377 0.0562682i
\(652\) −42628.0 + 50185.6i −2.56049 + 3.01445i
\(653\) −28422.7 6256.30i −1.70331 0.374928i −0.746446 0.665446i \(-0.768241\pi\)
−0.956869 + 0.290518i \(0.906172\pi\)
\(654\) 7923.15 + 6023.02i 0.473730 + 0.360120i
\(655\) −4919.87 + 4660.35i −0.293489 + 0.278007i
\(656\) 19407.1 48708.1i 1.15506 2.89898i
\(657\) 7371.13 + 2483.62i 0.437709 + 0.147481i
\(658\) 798.968 + 4873.49i 0.0473359 + 0.288736i
\(659\) −22946.0 21735.6i −1.35637 1.28482i −0.923621 0.383307i \(-0.874785\pi\)
−0.432749 0.901515i \(-0.642456\pi\)
\(660\) 32078.9 14841.3i 1.89193 0.875298i
\(661\) −5788.42 + 4400.24i −0.340611 + 0.258925i −0.761470 0.648201i \(-0.775522\pi\)
0.420859 + 0.907126i \(0.361729\pi\)
\(662\) −1840.66 + 11227.5i −0.108065 + 0.659168i
\(663\) −3740.14 + 7054.66i −0.219088 + 0.413243i
\(664\) 65518.2 14421.7i 3.82922 0.842875i
\(665\) 41228.2 + 19074.2i 2.40415 + 1.11228i
\(666\) 782.418 + 1963.72i 0.0455227 + 0.114253i
\(667\) 371.849 + 6858.36i 0.0215863 + 0.398136i
\(668\) −42223.7 62275.2i −2.44563 3.60704i
\(669\) 1111.68 + 1308.77i 0.0642450 + 0.0756351i
\(670\) 4232.86 + 7984.02i 0.244074 + 0.460373i
\(671\) 6146.53 2071.01i 0.353628 0.119151i
\(672\) −1126.64 + 20779.7i −0.0646744 + 1.19285i
\(673\) −2509.10 + 1509.67i −0.143713 + 0.0864690i −0.585594 0.810604i \(-0.699139\pi\)
0.441882 + 0.897073i \(0.354311\pi\)
\(674\) −8942.75 32208.9i −0.511071 1.84071i
\(675\) −339.764 + 1223.72i −0.0193741 + 0.0697791i
\(676\) 17775.3 + 10695.0i 1.01134 + 0.608501i
\(677\) −13922.8 + 20534.6i −0.790393 + 1.16574i 0.192452 + 0.981306i \(0.438356\pi\)
−0.982845 + 0.184436i \(0.940954\pi\)
\(678\) −31038.1 + 3375.59i −1.75813 + 0.191208i
\(679\) 14081.2 1531.42i 0.795854 0.0865544i
\(680\) 31809.6 46915.6i 1.79388 2.64578i
\(681\) −2761.97 1661.82i −0.155417 0.0935114i
\(682\) 6116.38 22029.2i 0.343414 1.23686i
\(683\) −3076.51 11080.6i −0.172356 0.620771i −0.998367 0.0571174i \(-0.981809\pi\)
0.826011 0.563654i \(-0.190605\pi\)
\(684\) 15443.8 9292.24i 0.863318 0.519441i
\(685\) −1143.64 + 21093.3i −0.0637903 + 1.17654i
\(686\) −49100.4 + 16543.9i −2.73274 + 0.920769i
\(687\) −2561.41 4831.32i −0.142247 0.268306i
\(688\) 17247.8 + 20305.7i 0.955766 + 1.12521i
\(689\) 7265.17 + 10715.3i 0.401714 + 0.592484i
\(690\) 399.122 + 7361.38i 0.0220208 + 0.406149i
\(691\) 6260.86 + 15713.6i 0.344681 + 0.865084i 0.994475 + 0.104973i \(0.0334758\pi\)
−0.649794 + 0.760110i \(0.725145\pi\)
\(692\) 56901.8 + 26325.6i 3.12584 + 1.44617i
\(693\) 13654.3 3005.53i 0.748461 0.164749i
\(694\) −17622.9 + 33240.4i −0.963916 + 1.81814i
\(695\) −4981.18 + 30383.9i −0.271866 + 1.65831i
\(696\) 23805.3 18096.3i 1.29646 0.985544i
\(697\) −30979.3 + 14332.5i −1.68354 + 0.778886i
\(698\) 30490.4 + 28882.0i 1.65341 + 1.56619i
\(699\) −1274.77 7775.76i −0.0689789 0.420753i
\(700\) 25893.3 + 8724.46i 1.39811 + 0.471077i
\(701\) −3794.36 + 9523.12i −0.204438 + 0.513100i −0.995068 0.0991935i \(-0.968374\pi\)
0.790630 + 0.612294i \(0.209753\pi\)
\(702\) −3282.44 + 3109.29i −0.176478 + 0.167169i
\(703\) −3981.97 3027.01i −0.213631 0.162398i
\(704\) −5781.29 1272.56i −0.309504 0.0681269i
\(705\) 773.565 910.712i 0.0413250 0.0486516i
\(706\) 43317.5 + 4711.07i 2.30917 + 0.251138i
\(707\) −22019.6 −1.17133
\(708\) 17910.1 + 17323.2i 0.950708 + 0.919558i
\(709\) −16960.9 −0.898419 −0.449210 0.893426i \(-0.648294\pi\)
−0.449210 + 0.893426i \(0.648294\pi\)
\(710\) −28145.9 3061.05i −1.48774 0.161801i
\(711\) 8042.98 9468.93i 0.424241 0.499455i
\(712\) −64137.2 14117.7i −3.37590 0.743092i
\(713\) 2642.65 + 2008.89i 0.138805 + 0.105517i
\(714\) 28886.9 27363.1i 1.51410 1.43423i
\(715\) 7765.61 19490.2i 0.406178 1.01943i
\(716\) 31229.3 + 10522.4i 1.63002 + 0.549217i
\(717\) −575.932 3513.03i −0.0299980 0.182980i
\(718\) −4486.30 4249.65i −0.233186 0.220885i
\(719\) 9771.11 4520.60i 0.506816 0.234478i −0.149781 0.988719i \(-0.547857\pi\)
0.656598 + 0.754241i \(0.271995\pi\)
\(720\) 11772.6 8949.31i 0.609360 0.463224i
\(721\) 9554.96 58282.7i 0.493544 3.01049i
\(722\) −12212.1 + 23034.4i −0.629483 + 1.18733i
\(723\) 15564.7 3426.05i 0.800632 0.176233i
\(724\) 22062.6 + 10207.2i 1.13253 + 0.523963i
\(725\) −3274.94 8219.49i −0.167763 0.421054i
\(726\) 892.705 + 16465.0i 0.0456355 + 0.841698i
\(727\) −6777.12 9995.50i −0.345735 0.509921i 0.614574 0.788859i \(-0.289328\pi\)
−0.960309 + 0.278938i \(0.910018\pi\)
\(728\) 35485.0 + 41776.2i 1.80654 + 2.12683i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −55119.6 + 18572.0i −2.79461 + 0.941615i
\(731\) 939.014 17319.1i 0.0475112 0.876293i
\(732\) 6234.54 3751.20i 0.314802 0.189410i
\(733\) −6477.08 23328.3i −0.326380 1.17551i −0.926715 0.375765i \(-0.877380\pi\)
0.600335 0.799748i \(-0.295034\pi\)
\(734\) 7025.37 25303.1i 0.353285 1.27242i
\(735\) 22306.6 + 13421.4i 1.11944 + 0.673546i
\(736\) 4484.65 6614.36i 0.224601 0.331262i
\(737\) −6542.54 + 711.544i −0.326998 + 0.0355632i
\(738\) −19214.7 + 2089.73i −0.958406 + 0.104233i
\(739\) 3106.95 4582.41i 0.154656 0.228101i −0.742465 0.669884i \(-0.766344\pi\)
0.897122 + 0.441783i \(0.145654\pi\)
\(740\) −9428.62 5673.01i −0.468382 0.281816i
\(741\) 2862.14 10308.5i 0.141894 0.511055i
\(742\) −17258.8 62160.7i −0.853897 3.07546i
\(743\) 11487.6 6911.84i 0.567211 0.341280i −0.202890 0.979202i \(-0.565033\pi\)
0.770101 + 0.637922i \(0.220206\pi\)
\(744\) 782.416 14430.8i 0.0385548 0.711101i
\(745\) −8973.76 + 3023.61i −0.441306 + 0.148693i
\(746\) −5962.18 11245.9i −0.292615 0.551931i
\(747\) −7376.51 8684.30i −0.361302 0.425357i
\(748\) 41111.1 + 60634.4i 2.00959 + 2.96392i
\(749\) 2542.49 + 46893.6i 0.124033 + 2.28765i
\(750\) 5826.21 + 14622.7i 0.283658 + 0.711927i
\(751\) −1055.04 488.114i −0.0512637 0.0237171i 0.394090 0.919072i \(-0.371060\pi\)
−0.445353 + 0.895355i \(0.646922\pi\)
\(752\) −3715.20 + 817.777i −0.180159 + 0.0396559i
\(753\) 1095.36 2066.07i 0.0530108 0.0999890i
\(754\) 5095.95 31083.9i 0.246132 1.50134i
\(755\) −19085.0 + 14508.0i −0.919964 + 0.699338i
\(756\) 14234.5 6585.56i 0.684791 0.316818i
\(757\) 21719.0 + 20573.3i 1.04279 + 0.987780i 0.999936 0.0113016i \(-0.00359748\pi\)
0.0428505 + 0.999081i \(0.486356\pi\)
\(758\) −6183.18 37715.7i −0.296284 1.80725i
\(759\) −5087.88 1714.31i −0.243318 0.0819833i
\(760\) −28110.7 + 70552.5i −1.34169 + 3.36738i
\(761\) 10394.6 9846.27i 0.495142 0.469024i −0.398908 0.916991i \(-0.630611\pi\)
0.894050 + 0.447967i \(0.147852\pi\)
\(762\) −1179.07 896.309i −0.0560543 0.0426114i
\(763\) −20013.8 4405.38i −0.949606 0.209024i
\(764\) −29672.6 + 34933.3i −1.40513 + 1.65424i
\(765\) −9570.79 1040.89i −0.452330 0.0491939i
\(766\) 51033.4 2.40719
\(767\) 14789.4 + 154.244i 0.696236 + 0.00726132i
\(768\) 20310.3 0.954277
\(769\) 3416.39 + 371.555i 0.160206 + 0.0174234i 0.187870 0.982194i \(-0.439841\pi\)
−0.0276645 + 0.999617i \(0.508807\pi\)
\(770\) −67682.9 + 79682.4i −3.16769 + 3.72929i
\(771\) 1225.15 + 269.676i 0.0572278 + 0.0125968i