Properties

Label 43.4.g.a.10.10
Level 43
Weight 4
Character 43.10
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 10.10
Character \(\chi\) \(=\) 43.10
Dual form 43.4.g.a.13.10

$q$-expansion

\(f(q)\) \(=\) \(q+(1.05311 + 4.61397i) q^{2} +(0.0821692 + 0.0762418i) q^{3} +(-12.9720 + 6.24696i) q^{4} +(-9.16285 + 1.38108i) q^{5} +(-0.265245 + 0.459417i) q^{6} +(13.3494 + 23.1219i) q^{7} +(-18.8782 - 23.6726i) q^{8} +(-2.01677 - 26.9120i) q^{9} +O(q^{10})\) \(q+(1.05311 + 4.61397i) q^{2} +(0.0821692 + 0.0762418i) q^{3} +(-12.9720 + 6.24696i) q^{4} +(-9.16285 + 1.38108i) q^{5} +(-0.265245 + 0.459417i) q^{6} +(13.3494 + 23.1219i) q^{7} +(-18.8782 - 23.6726i) q^{8} +(-2.01677 - 26.9120i) q^{9} +(-16.0217 - 40.8227i) q^{10} +(46.6016 + 22.4421i) q^{11} +(-1.54217 - 0.475698i) q^{12} +(7.16573 - 18.2580i) q^{13} +(-92.6254 + 85.9438i) q^{14} +(-0.858200 - 0.585111i) q^{15} +(17.5288 - 21.9804i) q^{16} +(25.7456 + 3.88052i) q^{17} +(122.047 - 37.6466i) q^{18} +(-2.15050 + 28.6965i) q^{19} +(110.233 - 75.1553i) q^{20} +(-0.665944 + 2.91769i) q^{21} +(-54.4709 + 238.653i) q^{22} +(101.537 - 69.2269i) q^{23} +(0.253631 - 3.38447i) q^{24} +(-37.3961 + 11.5352i) q^{25} +(91.7882 + 13.8348i) q^{26} +(3.77308 - 4.73129i) q^{27} +(-317.610 - 216.543i) q^{28} +(152.382 - 141.390i) q^{29} +(1.79591 - 4.57589i) q^{30} +(-251.951 - 77.7167i) q^{31} +(-98.3623 - 47.3688i) q^{32} +(2.11818 + 5.39704i) q^{33} +(9.20829 + 122.876i) q^{34} +(-154.252 - 193.426i) q^{35} +(194.280 + 336.502i) q^{36} +(-36.8431 + 63.8141i) q^{37} +(-134.670 + 20.2982i) q^{38} +(1.98083 - 0.953915i) q^{39} +(205.672 + 190.836i) q^{40} +(37.6470 + 164.942i) q^{41} -14.1635 q^{42} +(91.6311 - 266.666i) q^{43} -744.709 q^{44} +(55.6469 + 243.805i) q^{45} +(426.341 + 395.587i) q^{46} +(447.154 - 215.338i) q^{47} +(3.11615 - 0.469683i) q^{48} +(-184.915 + 320.281i) q^{49} +(-92.6052 - 160.397i) q^{50} +(1.81964 + 2.28175i) q^{51} +(21.1035 + 281.606i) q^{52} +(-197.277 - 502.652i) q^{53} +(25.8035 + 12.4263i) q^{54} +(-457.998 - 141.274i) q^{55} +(295.341 - 752.516i) q^{56} +(-2.36458 + 2.19401i) q^{57} +(812.844 + 554.188i) q^{58} +(-481.968 + 604.369i) q^{59} +(14.7877 + 2.22889i) q^{60} +(150.450 - 46.4077i) q^{61} +(93.2505 - 1244.34i) q^{62} +(595.333 - 405.891i) q^{63} +(165.020 - 722.998i) q^{64} +(-40.4429 + 177.192i) q^{65} +(-22.6711 + 15.4569i) q^{66} +(11.8564 - 158.212i) q^{67} +(-358.212 + 110.494i) q^{68} +(13.6212 + 2.05307i) q^{69} +(730.017 - 915.413i) q^{70} +(796.939 + 543.344i) q^{71} +(-599.002 + 555.793i) q^{72} +(-341.430 + 869.950i) q^{73} +(-333.236 - 102.790i) q^{74} +(-3.95227 - 1.90331i) q^{75} +(-151.370 - 385.684i) q^{76} +(103.200 + 1377.11i) q^{77} +(6.48736 + 8.13490i) q^{78} +(130.004 + 225.173i) q^{79} +(-130.257 + 225.611i) q^{80} +(-719.851 + 108.500i) q^{81} +(-721.393 + 347.404i) q^{82} +(-463.431 - 430.001i) q^{83} +(-9.58812 - 42.0083i) q^{84} -241.262 q^{85} +(1326.89 + 141.955i) q^{86} +23.3009 q^{87} +(-348.493 - 1526.85i) q^{88} +(275.230 + 255.376i) q^{89} +(-1066.31 + 513.507i) q^{90} +(517.818 - 78.0485i) q^{91} +(-884.679 + 1532.31i) q^{92} +(-14.7774 - 25.5952i) q^{93} +(1464.46 + 1836.38i) q^{94} +(-19.9273 - 265.912i) q^{95} +(-4.47086 - 11.3916i) q^{96} +(891.015 + 429.090i) q^{97} +(-1672.50 - 515.899i) q^{98} +(509.978 - 1299.40i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.05311 + 4.61397i 0.372330 + 1.63129i 0.720217 + 0.693749i \(0.244042\pi\)
−0.347886 + 0.937537i \(0.613101\pi\)
\(3\) 0.0821692 + 0.0762418i 0.0158135 + 0.0146727i 0.688040 0.725673i \(-0.258471\pi\)
−0.672226 + 0.740346i \(0.734662\pi\)
\(4\) −12.9720 + 6.24696i −1.62149 + 0.780871i
\(5\) −9.16285 + 1.38108i −0.819550 + 0.123527i −0.545417 0.838165i \(-0.683629\pi\)
−0.274133 + 0.961692i \(0.588391\pi\)
\(6\) −0.265245 + 0.459417i −0.0180476 + 0.0312594i
\(7\) 13.3494 + 23.1219i 0.720801 + 1.24846i 0.960679 + 0.277662i \(0.0895594\pi\)
−0.239878 + 0.970803i \(0.577107\pi\)
\(8\) −18.8782 23.6726i −0.834308 1.04619i
\(9\) −2.01677 26.9120i −0.0746953 0.996740i
\(10\) −16.0217 40.8227i −0.506652 1.29093i
\(11\) 46.6016 + 22.4421i 1.27736 + 0.615142i 0.944709 0.327910i \(-0.106344\pi\)
0.332646 + 0.943052i \(0.392058\pi\)
\(12\) −1.54217 0.475698i −0.0370990 0.0114435i
\(13\) 7.16573 18.2580i 0.152878 0.389527i −0.833832 0.552019i \(-0.813858\pi\)
0.986710 + 0.162491i \(0.0519529\pi\)
\(14\) −92.6254 + 85.9438i −1.76823 + 1.64067i
\(15\) −0.858200 0.585111i −0.0147724 0.0100717i
\(16\) 17.5288 21.9804i 0.273887 0.343443i
\(17\) 25.7456 + 3.88052i 0.367307 + 0.0553627i 0.330103 0.943945i \(-0.392917\pi\)
0.0372046 + 0.999308i \(0.488155\pi\)
\(18\) 122.047 37.6466i 1.59816 0.492966i
\(19\) −2.15050 + 28.6965i −0.0259663 + 0.346496i 0.969056 + 0.246842i \(0.0793928\pi\)
−0.995022 + 0.0996544i \(0.968226\pi\)
\(20\) 110.233 75.1553i 1.23244 0.840262i
\(21\) −0.665944 + 2.91769i −0.00692004 + 0.0303187i
\(22\) −54.4709 + 238.653i −0.527874 + 2.31277i
\(23\) 101.537 69.2269i 0.920521 0.627600i −0.00756319 0.999971i \(-0.502407\pi\)
0.928084 + 0.372371i \(0.121455\pi\)
\(24\) 0.253631 3.38447i 0.00215717 0.0287855i
\(25\) −37.3961 + 11.5352i −0.299169 + 0.0922815i
\(26\) 91.7882 + 13.8348i 0.692352 + 0.104355i
\(27\) 3.77308 4.73129i 0.0268937 0.0337236i
\(28\) −317.610 216.543i −2.14366 1.46153i
\(29\) 152.382 141.390i 0.975746 0.905360i −0.0197839 0.999804i \(-0.506298\pi\)
0.995530 + 0.0944440i \(0.0301073\pi\)
\(30\) 1.79591 4.57589i 0.0109295 0.0278480i
\(31\) −251.951 77.7167i −1.45974 0.450269i −0.539618 0.841910i \(-0.681431\pi\)
−0.920118 + 0.391641i \(0.871908\pi\)
\(32\) −98.3623 47.3688i −0.543380 0.261678i
\(33\) 2.11818 + 5.39704i 0.0111736 + 0.0284698i
\(34\) 9.20829 + 122.876i 0.0464473 + 0.619796i
\(35\) −154.252 193.426i −0.744953 0.934141i
\(36\) 194.280 + 336.502i 0.899443 + 1.55788i
\(37\) −36.8431 + 63.8141i −0.163702 + 0.283540i −0.936194 0.351485i \(-0.885677\pi\)
0.772492 + 0.635025i \(0.219010\pi\)
\(38\) −134.670 + 20.2982i −0.574902 + 0.0866525i
\(39\) 1.98083 0.953915i 0.00813297 0.00391663i
\(40\) 205.672 + 190.836i 0.812991 + 0.754345i
\(41\) 37.6470 + 164.942i 0.143402 + 0.628284i 0.994631 + 0.103489i \(0.0330008\pi\)
−0.851229 + 0.524795i \(0.824142\pi\)
\(42\) −14.1635 −0.0520350
\(43\) 91.6311 266.666i 0.324968 0.945725i
\(44\) −744.709 −2.55157
\(45\) 55.6469 + 243.805i 0.184341 + 0.807651i
\(46\) 426.341 + 395.587i 1.36653 + 1.26796i
\(47\) 447.154 215.338i 1.38775 0.668303i 0.417110 0.908856i \(-0.363043\pi\)
0.970636 + 0.240553i \(0.0773287\pi\)
\(48\) 3.11615 0.469683i 0.00937035 0.00141235i
\(49\) −184.915 + 320.281i −0.539109 + 0.933765i
\(50\) −92.6052 160.397i −0.261927 0.453671i
\(51\) 1.81964 + 2.28175i 0.00499608 + 0.00626488i
\(52\) 21.1035 + 281.606i 0.0562793 + 0.750995i
\(53\) −197.277 502.652i −0.511283 1.30273i −0.920661 0.390363i \(-0.872349\pi\)
0.409378 0.912365i \(-0.365746\pi\)
\(54\) 25.8035 + 12.4263i 0.0650262 + 0.0313150i
\(55\) −457.998 141.274i −1.12284 0.346351i
\(56\) 295.341 752.516i 0.704760 1.79570i
\(57\) −2.36458 + 2.19401i −0.00549467 + 0.00509830i
\(58\) 812.844 + 554.188i 1.84020 + 1.25463i
\(59\) −481.968 + 604.369i −1.06351 + 1.33360i −0.123537 + 0.992340i \(0.539424\pi\)
−0.939970 + 0.341256i \(0.889148\pi\)
\(60\) 14.7877 + 2.22889i 0.0318180 + 0.00479580i
\(61\) 150.450 46.4077i 0.315790 0.0974082i −0.132809 0.991142i \(-0.542400\pi\)
0.448598 + 0.893733i \(0.351923\pi\)
\(62\) 93.2505 1244.34i 0.191013 2.54890i
\(63\) 595.333 405.891i 1.19055 0.811706i
\(64\) 165.020 722.998i 0.322304 1.41211i
\(65\) −40.4429 + 177.192i −0.0771741 + 0.338122i
\(66\) −22.6711 + 15.4569i −0.0422822 + 0.0288275i
\(67\) 11.8564 158.212i 0.0216192 0.288488i −0.975907 0.218188i \(-0.929985\pi\)
0.997526 0.0702998i \(-0.0223956\pi\)
\(68\) −358.212 + 110.494i −0.638818 + 0.197049i
\(69\) 13.6212 + 2.05307i 0.0237652 + 0.00358203i
\(70\) 730.017 915.413i 1.24648 1.56304i
\(71\) 796.939 + 543.344i 1.33210 + 0.908212i 0.999394 0.0348179i \(-0.0110851\pi\)
0.332708 + 0.943030i \(0.392037\pi\)
\(72\) −599.002 + 555.793i −0.980460 + 0.909734i
\(73\) −341.430 + 869.950i −0.547416 + 1.39479i 0.342866 + 0.939384i \(0.388602\pi\)
−0.890282 + 0.455409i \(0.849493\pi\)
\(74\) −333.236 102.790i −0.523486 0.161474i
\(75\) −3.95227 1.90331i −0.00608492 0.00293034i
\(76\) −151.370 385.684i −0.228464 0.582118i
\(77\) 103.200 + 1377.11i 0.152737 + 2.03813i
\(78\) 6.48736 + 8.13490i 0.00941730 + 0.0118089i
\(79\) 130.004 + 225.173i 0.185146 + 0.320683i 0.943626 0.331014i \(-0.107391\pi\)
−0.758480 + 0.651697i \(0.774057\pi\)
\(80\) −130.257 + 225.611i −0.182039 + 0.315301i
\(81\) −719.851 + 108.500i −0.987451 + 0.148834i
\(82\) −721.393 + 347.404i −0.971518 + 0.467859i
\(83\) −463.431 430.001i −0.612870 0.568660i 0.311458 0.950260i \(-0.399183\pi\)
−0.924328 + 0.381600i \(0.875373\pi\)
\(84\) −9.58812 42.0083i −0.0124542 0.0545652i
\(85\) −241.262 −0.307866
\(86\) 1326.89 + 141.955i 1.66374 + 0.177993i
\(87\) 23.3009 0.0287140
\(88\) −348.493 1526.85i −0.422153 1.84957i
\(89\) 275.230 + 255.376i 0.327801 + 0.304155i 0.826854 0.562417i \(-0.190128\pi\)
−0.499053 + 0.866571i \(0.666319\pi\)
\(90\) −1066.31 + 513.507i −1.24887 + 0.601426i
\(91\) 517.818 78.0485i 0.596506 0.0899088i
\(92\) −884.679 + 1532.31i −1.00254 + 1.73646i
\(93\) −14.7774 25.5952i −0.0164768 0.0285387i
\(94\) 1464.46 + 1836.38i 1.60689 + 2.01498i
\(95\) −19.9273 265.912i −0.0215211 0.287178i
\(96\) −4.47086 11.3916i −0.00475318 0.0121109i
\(97\) 891.015 + 429.090i 0.932669 + 0.449150i 0.837577 0.546319i \(-0.183971\pi\)
0.0950916 + 0.995469i \(0.469686\pi\)
\(98\) −1672.50 515.899i −1.72396 0.531772i
\(99\) 509.978 1299.40i 0.517724 1.31914i
\(100\) 413.041 383.246i 0.413041 0.383246i
\(101\) −1373.25 936.269i −1.35291 0.922399i −0.352998 0.935624i \(-0.614838\pi\)
−0.999913 + 0.0132253i \(0.995790\pi\)
\(102\) −8.61166 + 10.7987i −0.00835962 + 0.0104826i
\(103\) −1284.73 193.642i −1.22901 0.185244i −0.497738 0.867327i \(-0.665836\pi\)
−0.731274 + 0.682084i \(0.761074\pi\)
\(104\) −567.490 + 175.048i −0.535067 + 0.165046i
\(105\) 2.07239 27.6541i 0.00192614 0.0257025i
\(106\) 2111.47 1439.58i 1.93476 1.31909i
\(107\) 98.2719 430.557i 0.0887879 0.389005i −0.910935 0.412550i \(-0.864638\pi\)
0.999723 + 0.0235450i \(0.00749531\pi\)
\(108\) −19.3880 + 84.9444i −0.0172742 + 0.0756832i
\(109\) 528.982 360.654i 0.464837 0.316921i −0.308155 0.951336i \(-0.599711\pi\)
0.772992 + 0.634415i \(0.218759\pi\)
\(110\) 169.511 2261.97i 0.146929 1.96064i
\(111\) −7.89267 + 2.43457i −0.00674900 + 0.00208179i
\(112\) 742.226 + 111.873i 0.626195 + 0.0943837i
\(113\) −6.73597 + 8.44663i −0.00560767 + 0.00703179i −0.784627 0.619968i \(-0.787146\pi\)
0.779020 + 0.626999i \(0.215717\pi\)
\(114\) −12.6132 8.59957i −0.0103626 0.00706512i
\(115\) −834.763 + 774.547i −0.676887 + 0.628060i
\(116\) −1093.44 + 2786.03i −0.875198 + 2.22997i
\(117\) −505.810 156.022i −0.399677 0.123284i
\(118\) −3296.11 1587.32i −2.57145 1.23835i
\(119\) 253.964 + 647.090i 0.195637 + 0.498476i
\(120\) 2.35023 + 31.3616i 0.00178788 + 0.0238576i
\(121\) 838.194 + 1051.06i 0.629747 + 0.789678i
\(122\) 372.564 + 645.301i 0.276479 + 0.478875i
\(123\) −9.48208 + 16.4234i −0.00695098 + 0.0120394i
\(124\) 3753.80 565.794i 2.71856 0.409756i
\(125\) 1370.31 659.907i 0.980515 0.472191i
\(126\) 2499.72 + 2319.40i 1.76740 + 1.63991i
\(127\) 60.2335 + 263.900i 0.0420855 + 0.184389i 0.991602 0.129329i \(-0.0412825\pi\)
−0.949516 + 0.313718i \(0.898425\pi\)
\(128\) 2636.29 1.82044
\(129\) 27.8604 14.9256i 0.0190152 0.0101870i
\(130\) −860.149 −0.580308
\(131\) −310.632 1360.97i −0.207176 0.907697i −0.966436 0.256909i \(-0.917296\pi\)
0.759260 0.650788i \(-0.225561\pi\)
\(132\) −61.1921 56.7780i −0.0403492 0.0374386i
\(133\) −692.225 + 333.358i −0.451305 + 0.217337i
\(134\) 742.473 111.910i 0.478656 0.0721457i
\(135\) −28.0379 + 48.5631i −0.0178749 + 0.0309603i
\(136\) −394.170 682.722i −0.248528 0.430463i
\(137\) −430.205 539.459i −0.268284 0.336417i 0.629381 0.777097i \(-0.283309\pi\)
−0.897664 + 0.440680i \(0.854737\pi\)
\(138\) 4.87183 + 65.0100i 0.00300520 + 0.0401016i
\(139\) −838.257 2135.84i −0.511511 1.30331i −0.920491 0.390765i \(-0.872211\pi\)
0.408980 0.912543i \(-0.365885\pi\)
\(140\) 3209.27 + 1545.50i 1.93738 + 0.932993i
\(141\) 53.1600 + 16.3977i 0.0317509 + 0.00979386i
\(142\) −1667.71 + 4249.26i −0.985571 + 2.51119i
\(143\) 743.683 690.037i 0.434894 0.403523i
\(144\) −626.886 427.404i −0.362782 0.247340i
\(145\) −1200.98 + 1505.99i −0.687836 + 0.862520i
\(146\) −4373.49 659.197i −2.47913 0.373668i
\(147\) −39.6131 + 12.2190i −0.0222261 + 0.00685584i
\(148\) 79.2825 1057.95i 0.0440337 0.587588i
\(149\) 609.942 415.851i 0.335358 0.228643i −0.383919 0.923367i \(-0.625426\pi\)
0.719277 + 0.694724i \(0.244473\pi\)
\(150\) 4.61967 20.2401i 0.00251463 0.0110173i
\(151\) 520.776 2281.67i 0.280663 1.22966i −0.616283 0.787525i \(-0.711362\pi\)
0.896946 0.442140i \(-0.145781\pi\)
\(152\) 719.917 490.831i 0.384164 0.261919i
\(153\) 52.5095 700.691i 0.0277460 0.370245i
\(154\) −6245.25 + 1926.41i −3.26790 + 1.00801i
\(155\) 2415.93 + 364.142i 1.25195 + 0.188701i
\(156\) −19.7361 + 24.7483i −0.0101292 + 0.0127016i
\(157\) −2836.95 1934.20i −1.44212 0.983221i −0.996103 0.0881973i \(-0.971889\pi\)
−0.446018 0.895024i \(-0.647158\pi\)
\(158\) −902.034 + 836.965i −0.454189 + 0.421426i
\(159\) 22.1131 56.3432i 0.0110294 0.0281026i
\(160\) 966.699 + 298.187i 0.477652 + 0.147336i
\(161\) 2956.12 + 1423.59i 1.44705 + 0.696862i
\(162\) −1258.70 3207.11i −0.610449 1.55540i
\(163\) 103.224 + 1377.43i 0.0496020 + 0.661893i 0.965487 + 0.260452i \(0.0838715\pi\)
−0.915885 + 0.401441i \(0.868509\pi\)
\(164\) −1518.74 1904.44i −0.723134 0.906781i
\(165\) −26.8623 46.5269i −0.0126741 0.0219522i
\(166\) 1495.97 2591.10i 0.699457 1.21149i
\(167\) −1545.99 + 233.021i −0.716363 + 0.107974i −0.497102 0.867692i \(-0.665603\pi\)
−0.219261 + 0.975666i \(0.570365\pi\)
\(168\) 81.6411 39.3163i 0.0374925 0.0180555i
\(169\) 1328.51 + 1232.68i 0.604692 + 0.561072i
\(170\) −254.076 1113.18i −0.114628 0.502217i
\(171\) 776.616 0.347306
\(172\) 477.219 + 4031.60i 0.211556 + 1.78725i
\(173\) 2369.63 1.04139 0.520693 0.853744i \(-0.325674\pi\)
0.520693 + 0.853744i \(0.325674\pi\)
\(174\) 24.5384 + 107.510i 0.0106911 + 0.0468408i
\(175\) −765.932 710.681i −0.330852 0.306986i
\(176\) 1310.15 630.937i 0.561117 0.270220i
\(177\) −85.6812 + 12.9144i −0.0363853 + 0.00548419i
\(178\) −888.450 + 1538.84i −0.374113 + 0.647983i
\(179\) 1219.33 + 2111.94i 0.509144 + 0.881863i 0.999944 + 0.0105911i \(0.00337131\pi\)
−0.490800 + 0.871272i \(0.663295\pi\)
\(180\) −2244.89 2815.00i −0.929579 1.16566i
\(181\) 234.373 + 3127.49i 0.0962474 + 1.28433i 0.811038 + 0.584994i \(0.198903\pi\)
−0.714790 + 0.699339i \(0.753478\pi\)
\(182\) 905.432 + 2307.00i 0.368764 + 0.939596i
\(183\) 15.9006 + 7.65731i 0.00642297 + 0.00309314i
\(184\) −3555.62 1096.76i −1.42459 0.439427i
\(185\) 249.456 635.602i 0.0991369 0.252597i
\(186\) 102.533 95.1369i 0.0404199 0.0375042i
\(187\) 1112.70 + 758.625i 0.435126 + 0.296664i
\(188\) −4455.25 + 5586.71i −1.72836 + 2.16730i
\(189\) 159.765 + 24.0807i 0.0614878 + 0.00926779i
\(190\) 1205.92 371.978i 0.460457 0.142032i
\(191\) 199.378 2660.51i 0.0755312 1.00789i −0.822730 0.568432i \(-0.807550\pi\)
0.898261 0.439462i \(-0.144831\pi\)
\(192\) 68.6822 46.8267i 0.0258162 0.0176012i
\(193\) −361.386 + 1583.34i −0.134783 + 0.590524i 0.861750 + 0.507332i \(0.169368\pi\)
−0.996534 + 0.0831912i \(0.973489\pi\)
\(194\) −1041.47 + 4563.00i −0.385431 + 1.68868i
\(195\) −16.8326 + 11.4763i −0.00618157 + 0.00421452i
\(196\) 397.917 5309.83i 0.145013 1.93507i
\(197\) −4047.11 + 1248.37i −1.46368 + 0.451485i −0.921367 0.388693i \(-0.872927\pi\)
−0.542311 + 0.840178i \(0.682451\pi\)
\(198\) 6532.47 + 984.611i 2.34466 + 0.353400i
\(199\) −633.958 + 794.959i −0.225830 + 0.283182i −0.881818 0.471589i \(-0.843680\pi\)
0.655989 + 0.754771i \(0.272252\pi\)
\(200\) 979.041 + 667.499i 0.346143 + 0.235996i
\(201\) 13.0366 12.0962i 0.00457478 0.00424478i
\(202\) 2873.73 7322.15i 1.00097 2.55042i
\(203\) 5303.42 + 1635.89i 1.83363 + 0.565600i
\(204\) −37.8583 18.2316i −0.0129932 0.00625718i
\(205\) −572.752 1459.35i −0.195135 0.497197i
\(206\) −459.503 6131.64i −0.155413 2.07384i
\(207\) −2067.81 2592.95i −0.694313 0.870641i
\(208\) −275.711 477.545i −0.0919092 0.159191i
\(209\) −744.227 + 1289.04i −0.246312 + 0.426626i
\(210\) 129.778 19.5608i 0.0426453 0.00642774i
\(211\) −1081.03 + 520.598i −0.352708 + 0.169855i −0.601845 0.798613i \(-0.705567\pi\)
0.249137 + 0.968468i \(0.419853\pi\)
\(212\) 5699.11 + 5288.00i 1.84631 + 1.71312i
\(213\) 24.0583 + 105.406i 0.00773918 + 0.0339076i
\(214\) 2090.07 0.667637
\(215\) −471.315 + 2569.97i −0.149504 + 0.815212i
\(216\) −183.231 −0.0577189
\(217\) −1566.45 6863.07i −0.490035 2.14698i
\(218\) 2221.12 + 2060.90i 0.690062 + 0.640284i
\(219\) −94.3816 + 45.4518i −0.0291220 + 0.0140244i
\(220\) 6823.66 1028.50i 2.09114 0.315189i
\(221\) 255.337 442.256i 0.0777186 0.134613i
\(222\) −19.5449 33.8527i −0.00590885 0.0102344i
\(223\) −543.238 681.198i −0.163129 0.204558i 0.693548 0.720411i \(-0.256047\pi\)
−0.856677 + 0.515853i \(0.827475\pi\)
\(224\) −217.825 2906.67i −0.0649733 0.867009i
\(225\) 385.854 + 983.140i 0.114327 + 0.291301i
\(226\) −46.0663 22.1843i −0.0135588 0.00652956i
\(227\) −486.896 150.188i −0.142363 0.0439132i 0.222755 0.974875i \(-0.428495\pi\)
−0.365118 + 0.930961i \(0.618971\pi\)
\(228\) 16.9673 43.2320i 0.00492845 0.0125575i
\(229\) −21.4702 + 19.9214i −0.00619559 + 0.00574867i −0.683264 0.730171i \(-0.739440\pi\)
0.677069 + 0.735920i \(0.263250\pi\)
\(230\) −4452.83 3035.89i −1.27657 0.870351i
\(231\) −96.5133 + 121.024i −0.0274896 + 0.0344709i
\(232\) −6223.77 938.082i −1.76125 0.265466i
\(233\) −346.372 + 106.842i −0.0973888 + 0.0300405i −0.343067 0.939311i \(-0.611466\pi\)
0.245678 + 0.969352i \(0.420989\pi\)
\(234\) 187.207 2498.10i 0.0522996 0.697889i
\(235\) −3799.80 + 2590.66i −1.05477 + 0.719133i
\(236\) 2476.60 10850.7i 0.683106 2.99288i
\(237\) −6.48531 + 28.4140i −0.00177749 + 0.00778771i
\(238\) −2718.20 + 1853.24i −0.740315 + 0.504738i
\(239\) −335.572 + 4477.90i −0.0908215 + 1.21193i 0.746563 + 0.665315i \(0.231703\pi\)
−0.837385 + 0.546614i \(0.815916\pi\)
\(240\) −27.9041 + 8.60728i −0.00750501 + 0.00231499i
\(241\) −2509.36 378.225i −0.670714 0.101094i −0.195148 0.980774i \(-0.562519\pi\)
−0.475566 + 0.879680i \(0.657757\pi\)
\(242\) −3966.86 + 4974.28i −1.05372 + 1.32132i
\(243\) −202.423 138.009i −0.0534379 0.0364334i
\(244\) −1661.73 + 1541.86i −0.435988 + 0.404538i
\(245\) 1252.01 3190.07i 0.326482 0.831862i
\(246\) −85.7630 26.4544i −0.0222278 0.00685638i
\(247\) 508.530 + 244.895i 0.131000 + 0.0630863i
\(248\) 2916.65 + 7431.49i 0.746803 + 1.90282i
\(249\) −5.29566 70.6657i −0.00134779 0.0179850i
\(250\) 4487.88 + 5627.62i 1.13535 + 1.42369i
\(251\) −301.209 521.709i −0.0757455 0.131195i 0.825665 0.564161i \(-0.190800\pi\)
−0.901410 + 0.432966i \(0.857467\pi\)
\(252\) −5187.04 + 8984.23i −1.29664 + 2.24585i
\(253\) 6285.40 947.371i 1.56190 0.235418i
\(254\) −1154.20 + 555.831i −0.285121 + 0.137307i
\(255\) −19.8243 18.3943i −0.00486842 0.00451723i
\(256\) 1456.14 + 6379.77i 0.355503 + 1.55756i
\(257\) 458.487 0.111283 0.0556413 0.998451i \(-0.482280\pi\)
0.0556413 + 0.998451i \(0.482280\pi\)
\(258\) 98.2063 + 112.829i 0.0236979 + 0.0272264i
\(259\) −1967.34 −0.471986
\(260\) −582.288 2551.17i −0.138892 0.608526i
\(261\) −4112.40 3815.75i −0.975292 0.904939i
\(262\) 5952.34 2866.49i 1.40358 0.675926i
\(263\) −2700.95 + 407.102i −0.633260 + 0.0954487i −0.457825 0.889042i \(-0.651371\pi\)
−0.175435 + 0.984491i \(0.556133\pi\)
\(264\) 87.7743 152.030i 0.0204626 0.0354423i
\(265\) 2501.82 + 4333.27i 0.579945 + 1.00449i
\(266\) −2267.09 2842.84i −0.522573 0.655286i
\(267\) 3.14507 + 41.9680i 0.000720881 + 0.00961948i
\(268\) 834.545 + 2126.39i 0.190216 + 0.484663i
\(269\) −53.8551 25.9353i −0.0122067 0.00587844i 0.427770 0.903887i \(-0.359299\pi\)
−0.439977 + 0.898009i \(0.645013\pi\)
\(270\) −253.596 78.2239i −0.0571605 0.0176317i
\(271\) 114.528 291.814i 0.0256720 0.0654111i −0.917463 0.397821i \(-0.869766\pi\)
0.943135 + 0.332410i \(0.107862\pi\)
\(272\) 536.584 497.877i 0.119615 0.110986i
\(273\) 48.4992 + 33.0662i 0.0107520 + 0.00733061i
\(274\) 2036.00 2553.06i 0.448902 0.562906i
\(275\) −2001.59 301.692i −0.438911 0.0661553i
\(276\) −189.519 + 58.4590i −0.0413323 + 0.0127493i
\(277\) 301.766 4026.79i 0.0654562 0.873453i −0.863757 0.503909i \(-0.831895\pi\)
0.929213 0.369544i \(-0.120486\pi\)
\(278\) 8971.95 6116.97i 1.93562 1.31968i
\(279\) −1583.38 + 6937.25i −0.339766 + 1.48861i
\(280\) −1666.88 + 7303.08i −0.355768 + 1.55872i
\(281\) −2553.01 + 1740.61i −0.541992 + 0.369524i −0.803154 0.595771i \(-0.796847\pi\)
0.261162 + 0.965295i \(0.415894\pi\)
\(282\) −19.6752 + 262.547i −0.00415476 + 0.0554414i
\(283\) 1209.40 373.049i 0.254032 0.0783585i −0.165124 0.986273i \(-0.552802\pi\)
0.419156 + 0.907914i \(0.362326\pi\)
\(284\) −13732.1 2069.78i −2.86919 0.432461i
\(285\) 18.6362 23.3690i 0.00387337 0.00485706i
\(286\) 3966.99 + 2704.65i 0.820186 + 0.559193i
\(287\) −3311.21 + 3072.36i −0.681027 + 0.631900i
\(288\) −1076.41 + 2742.66i −0.220237 + 0.561155i
\(289\) −4046.95 1248.32i −0.823723 0.254085i
\(290\) −8213.35 3955.34i −1.66312 0.800916i
\(291\) 40.4993 + 103.191i 0.00815846 + 0.0207874i
\(292\) −1005.53 13417.9i −0.201521 2.68911i
\(293\) −1126.59 1412.70i −0.224629 0.281676i 0.656727 0.754128i \(-0.271940\pi\)
−0.881356 + 0.472452i \(0.843369\pi\)
\(294\) −98.0952 169.906i −0.0194593 0.0337045i
\(295\) 3581.52 6203.38i 0.706862 1.22432i
\(296\) 2206.18 332.528i 0.433214 0.0652965i
\(297\) 282.012 135.810i 0.0550976 0.0265336i
\(298\) 2561.06 + 2376.32i 0.497847 + 0.461934i
\(299\) −536.356 2349.93i −0.103740 0.454515i
\(300\) 63.1586 0.0121549
\(301\) 7389.04 1441.16i 1.41494 0.275969i
\(302\) 11076.0 2.11043
\(303\) −41.4563 181.632i −0.00786007 0.0344372i
\(304\) 593.063 + 550.282i 0.111890 + 0.103819i
\(305\) −1314.46 + 633.010i −0.246773 + 0.118840i
\(306\) 3288.27 495.627i 0.614306 0.0925918i
\(307\) 926.052 1603.97i 0.172158 0.298187i −0.767016 0.641628i \(-0.778259\pi\)
0.939174 + 0.343441i \(0.111593\pi\)
\(308\) −9941.44 17219.1i −1.83918 3.18555i
\(309\) −90.8016 113.862i −0.0167169 0.0209623i
\(310\) 864.092 + 11530.5i 0.158313 + 2.11254i
\(311\) 2328.61 + 5933.20i 0.424576 + 1.08180i 0.969884 + 0.243567i \(0.0783176\pi\)
−0.545308 + 0.838236i \(0.683587\pi\)
\(312\) −59.9761 28.8830i −0.0108829 0.00524095i
\(313\) 3327.23 + 1026.31i 0.600850 + 0.185338i 0.580234 0.814450i \(-0.302961\pi\)
0.0206160 + 0.999787i \(0.493437\pi\)
\(314\) 5936.72 15126.5i 1.06697 2.71859i
\(315\) −4894.38 + 4541.32i −0.875451 + 0.812300i
\(316\) −3093.05 2108.80i −0.550625 0.375410i
\(317\) 2188.46 2744.24i 0.387748 0.486221i −0.549199 0.835692i \(-0.685067\pi\)
0.936947 + 0.349471i \(0.113639\pi\)
\(318\) 283.254 + 42.6936i 0.0499499 + 0.00752874i
\(319\) 10274.3 3169.21i 1.80330 0.556244i
\(320\) −513.533 + 6852.63i −0.0897106 + 1.19710i
\(321\) 40.9014 27.8861i 0.00711182 0.00484875i
\(322\) −3455.30 + 15138.7i −0.598001 + 2.62001i
\(323\) −166.723 + 730.463i −0.0287206 + 0.125833i
\(324\) 8660.09 5904.35i 1.48493 1.01241i
\(325\) −57.3615 + 765.437i −0.00979030 + 0.130642i
\(326\) −6246.71 + 1926.86i −1.06127 + 0.327358i
\(327\) 70.9629 + 10.6959i 0.0120008 + 0.00180883i
\(328\) 3193.90 4005.02i 0.537663 0.674208i
\(329\) 10948.3 + 7464.40i 1.83464 + 1.25084i
\(330\) 186.385 172.940i 0.0310914 0.0288486i
\(331\) −3211.65 + 8183.14i −0.533318 + 1.35887i 0.369654 + 0.929170i \(0.379476\pi\)
−0.902971 + 0.429701i \(0.858619\pi\)
\(332\) 8697.81 + 2682.92i 1.43781 + 0.443507i
\(333\) 1791.67 + 862.822i 0.294843 + 0.141989i
\(334\) −2703.26 6887.78i −0.442861 1.12839i
\(335\) 109.865 + 1466.05i 0.0179181 + 0.239101i
\(336\) 52.4587 + 65.7812i 0.00851744 + 0.0106805i
\(337\) −3128.67 5419.01i −0.505725 0.875942i −0.999978 0.00662342i \(-0.997892\pi\)
0.494253 0.869318i \(-0.335442\pi\)
\(338\) −4288.47 + 7427.84i −0.690124 + 1.19533i
\(339\) −1.19748 + 0.180490i −0.000191852 + 2.89171e-5i
\(340\) 3129.64 1507.16i 0.499202 0.240403i
\(341\) −9997.21 9276.05i −1.58762 1.47310i
\(342\) 817.862 + 3583.29i 0.129313 + 0.566555i
\(343\) −716.305 −0.112760
\(344\) −8042.50 + 2865.04i −1.26053 + 0.449049i
\(345\) −127.645 −0.0199193
\(346\) 2495.48 + 10933.4i 0.387740 + 1.69880i
\(347\) 2630.54 + 2440.79i 0.406960 + 0.377603i 0.856924 0.515443i \(-0.172373\pi\)
−0.449964 + 0.893047i \(0.648563\pi\)
\(348\) −302.259 + 145.560i −0.0465597 + 0.0224220i
\(349\) −2806.49 + 423.010i −0.430453 + 0.0648803i −0.360695 0.932684i \(-0.617461\pi\)
−0.0697573 + 0.997564i \(0.522222\pi\)
\(350\) 2472.45 4282.42i 0.377595 0.654014i
\(351\) −59.3470 102.792i −0.00902482 0.0156314i
\(352\) −3520.78 4414.92i −0.533120 0.668512i
\(353\) 387.031 + 5164.57i 0.0583558 + 0.778703i 0.947231 + 0.320553i \(0.103869\pi\)
−0.888875 + 0.458150i \(0.848512\pi\)
\(354\) −149.818 381.730i −0.0224936 0.0573128i
\(355\) −8052.63 3877.94i −1.20391 0.579774i
\(356\) −5165.59 1593.37i −0.769033 0.237215i
\(357\) −28.4673 + 72.5335i −0.00422031 + 0.0107532i
\(358\) −8460.33 + 7850.04i −1.24900 + 1.15890i
\(359\) 10822.4 + 7378.62i 1.59105 + 1.08476i 0.947689 + 0.319196i \(0.103413\pi\)
0.643361 + 0.765563i \(0.277539\pi\)
\(360\) 4720.98 5919.92i 0.691159 0.866686i
\(361\) 5963.53 + 898.857i 0.869446 + 0.131048i
\(362\) −14183.3 + 4374.97i −2.05928 + 0.635203i
\(363\) −11.2612 + 150.270i −0.00162826 + 0.0217277i
\(364\) −6229.54 + 4247.23i −0.897024 + 0.611581i
\(365\) 1927.01 8442.76i 0.276340 1.21072i
\(366\) −18.5856 + 81.4288i −0.00265433 + 0.0116294i
\(367\) −2157.68 + 1471.08i −0.306894 + 0.209237i −0.706967 0.707247i \(-0.749937\pi\)
0.400073 + 0.916483i \(0.368985\pi\)
\(368\) 258.189 3445.29i 0.0365734 0.488038i
\(369\) 4363.00 1345.81i 0.615524 0.189864i
\(370\) 3195.36 + 481.622i 0.448969 + 0.0676712i
\(371\) 8988.74 11271.5i 1.25788 1.57733i
\(372\) 351.584 + 239.706i 0.0490020 + 0.0334090i
\(373\) 3964.70 3678.71i 0.550361 0.510660i −0.355249 0.934772i \(-0.615604\pi\)
0.905610 + 0.424111i \(0.139414\pi\)
\(374\) −2328.48 + 5932.88i −0.321933 + 0.820272i
\(375\) 162.910 + 50.2510i 0.0224337 + 0.00691987i
\(376\) −13539.1 6520.08i −1.85698 0.894275i
\(377\) −1489.57 3795.35i −0.203492 0.518490i
\(378\) 57.1423 + 762.511i 0.00777535 + 0.103755i
\(379\) 1529.95 + 1918.49i 0.207357 + 0.260017i 0.874625 0.484801i \(-0.161108\pi\)
−0.667268 + 0.744818i \(0.732536\pi\)
\(380\) 1919.64 + 3324.91i 0.259145 + 0.448853i
\(381\) −15.1709 + 26.2768i −0.00203997 + 0.00353333i
\(382\) 12485.5 1881.88i 1.67229 0.252057i
\(383\) −1653.34 + 796.206i −0.220579 + 0.106225i −0.540910 0.841080i \(-0.681920\pi\)
0.320331 + 0.947306i \(0.396206\pi\)
\(384\) 216.621 + 200.995i 0.0287875 + 0.0267109i
\(385\) −2847.50 12475.7i −0.376940 1.65148i
\(386\) −7686.05 −1.01350
\(387\) −7361.31 1928.17i −0.966915 0.253267i
\(388\) −14238.7 −1.86305
\(389\) 2505.83 + 10978.8i 0.326608 + 1.43096i 0.825550 + 0.564328i \(0.190865\pi\)
−0.498942 + 0.866635i \(0.666278\pi\)
\(390\) −70.6777 65.5793i −0.00917667 0.00851471i
\(391\) 2882.77 1388.27i 0.372860 0.179560i
\(392\) 11072.7 1668.95i 1.42668 0.215037i
\(393\) 78.2383 135.513i 0.0100422 0.0173937i
\(394\) −10022.0 17358.6i −1.28147 2.21958i
\(395\) −1502.18 1883.68i −0.191350 0.239945i
\(396\) 1501.91 + 20041.6i 0.190590 + 2.54325i
\(397\) −5198.34 13245.2i −0.657172 1.67445i −0.735504 0.677520i \(-0.763055\pi\)
0.0783317 0.996927i \(-0.475041\pi\)
\(398\) −4335.54 2087.89i −0.546033 0.262956i
\(399\) −82.2954 25.3848i −0.0103256 0.00318503i
\(400\) −401.960 + 1024.18i −0.0502450 + 0.128022i
\(401\) −6039.07 + 5603.44i −0.752062 + 0.697811i −0.959897 0.280353i \(-0.909549\pi\)
0.207836 + 0.978164i \(0.433358\pi\)
\(402\) 69.5405 + 47.4119i 0.00862778 + 0.00588232i
\(403\) −3224.37 + 4043.23i −0.398554 + 0.499771i
\(404\) 23662.6 + 3566.57i 2.91401 + 0.439217i
\(405\) 6446.04 1988.34i 0.790880 0.243954i
\(406\) −1962.86 + 26192.6i −0.239939 + 3.20176i
\(407\) −3149.07 + 2147.00i −0.383523 + 0.261481i
\(408\) 19.6634 86.1509i 0.00238599 0.0104537i
\(409\) −2384.85 + 10448.7i −0.288321 + 1.26322i 0.598507 + 0.801117i \(0.295761\pi\)
−0.886828 + 0.462099i \(0.847096\pi\)
\(410\) 6130.22 4179.51i 0.738415 0.503443i
\(411\) 5.77983 77.1265i 0.000693669 0.00925638i
\(412\) 17875.1 5513.75i 2.13749 0.659328i
\(413\) −20408.2 3076.04i −2.43153 0.366494i
\(414\) 9786.18 12271.5i 1.16175 1.45679i
\(415\) 4840.22 + 3300.00i 0.572522 + 0.390339i
\(416\) −1569.70 + 1456.47i −0.185002 + 0.171657i
\(417\) 93.9618 239.411i 0.0110344 0.0281151i
\(418\) −6731.35 2076.35i −0.787658 0.242960i
\(419\) −5125.74 2468.43i −0.597634 0.287806i 0.110508 0.993875i \(-0.464752\pi\)
−0.708142 + 0.706070i \(0.750466\pi\)
\(420\) 145.871 + 371.674i 0.0169471 + 0.0431805i
\(421\) −679.172 9062.92i −0.0786243 1.04917i −0.887385 0.461030i \(-0.847480\pi\)
0.808760 0.588138i \(-0.200139\pi\)
\(422\) −3540.47 4439.61i −0.408406 0.512125i
\(423\) −6696.97 11599.5i −0.769783 1.33330i
\(424\) −8174.84 + 14159.2i −0.936333 + 1.62178i
\(425\) −1007.55 + 151.864i −0.114996 + 0.0173329i
\(426\) −461.005 + 222.008i −0.0524314 + 0.0252496i
\(427\) 3081.46 + 2859.18i 0.349232 + 0.324040i
\(428\) 1414.90 + 6199.07i 0.159794 + 0.700101i
\(429\) 113.718 0.0127980
\(430\) −12354.1 + 531.823i −1.38551 + 0.0596437i
\(431\) 6799.33 0.759889 0.379944 0.925009i \(-0.375943\pi\)
0.379944 + 0.925009i \(0.375943\pi\)
\(432\) −37.8582 165.867i −0.00421632 0.0184729i
\(433\) 12021.5 + 11154.3i 1.33421 + 1.23797i 0.949051 + 0.315122i \(0.102046\pi\)
0.385164 + 0.922848i \(0.374145\pi\)
\(434\) 30016.4 14455.1i 3.31989 1.59877i
\(435\) −213.503 + 32.1804i −0.0235326 + 0.00354697i
\(436\) −4608.94 + 7982.92i −0.506257 + 0.876863i
\(437\) 1768.21 + 3062.63i 0.193559 + 0.335253i
\(438\) −309.107 387.608i −0.0337208 0.0422846i
\(439\) 272.601 + 3637.61i 0.0296367 + 0.395475i 0.992221 + 0.124491i \(0.0397299\pi\)
−0.962584 + 0.270984i \(0.912651\pi\)
\(440\) 5301.88 + 13509.0i 0.574449 + 1.46367i
\(441\) 8992.33 + 4330.48i 0.970989 + 0.467604i
\(442\) 2309.46 + 712.373i 0.248528 + 0.0766609i
\(443\) 4055.56 10333.4i 0.434955 1.10825i −0.530501 0.847684i \(-0.677996\pi\)
0.965457 0.260564i \(-0.0839086\pi\)
\(444\) 87.1747 80.8863i 0.00931786 0.00864571i
\(445\) −2874.58 1959.86i −0.306221 0.208778i
\(446\) 2570.94 3223.86i 0.272954 0.342274i
\(447\) 81.8237 + 12.3329i 0.00865800 + 0.00130498i
\(448\) 18920.0 5836.05i 1.99528 0.615463i
\(449\) −131.581 + 1755.83i −0.0138301 + 0.184550i 0.986010 + 0.166684i \(0.0533061\pi\)
−0.999840 + 0.0178654i \(0.994313\pi\)
\(450\) −4129.84 + 2815.67i −0.432627 + 0.294960i
\(451\) −1947.25 + 8531.45i −0.203309 + 0.890755i
\(452\) 34.6128 151.649i 0.00360188 0.0157809i
\(453\) 216.750 147.778i 0.0224808 0.0153272i
\(454\) 180.207 2404.69i 0.0186289 0.248585i
\(455\) −4636.90 + 1430.29i −0.477761 + 0.147370i
\(456\) 96.5769 + 14.5566i 0.00991804 + 0.00149490i
\(457\) −11712.2 + 14686.6i −1.19885 + 1.50331i −0.384301 + 0.923208i \(0.625558\pi\)
−0.814546 + 0.580099i \(0.803014\pi\)
\(458\) −114.527 78.0835i −0.0116845 0.00796638i
\(459\) 115.500 107.168i 0.0117453 0.0108980i
\(460\) 5989.94 15262.1i 0.607136 1.54696i
\(461\) −808.421 249.365i −0.0816744 0.0251932i 0.253649 0.967296i \(-0.418369\pi\)
−0.335323 + 0.942103i \(0.608845\pi\)
\(462\) −660.040 317.858i −0.0664672 0.0320089i
\(463\) −4207.23 10719.8i −0.422303 1.07601i −0.970807 0.239863i \(-0.922898\pi\)
0.548504 0.836148i \(-0.315198\pi\)
\(464\) −436.733 5827.80i −0.0436958 0.583080i
\(465\) 170.752 + 214.116i 0.0170289 + 0.0213535i
\(466\) −857.732 1485.64i −0.0852654 0.147684i
\(467\) 4157.69 7201.33i 0.411980 0.713571i −0.583126 0.812382i \(-0.698171\pi\)
0.995106 + 0.0988109i \(0.0315039\pi\)
\(468\) 7536.01 1135.87i 0.744343 0.112192i
\(469\) 3816.44 1837.90i 0.375750 0.180952i
\(470\) −15954.9 14803.9i −1.56584 1.45288i
\(471\) −85.6427 375.225i −0.00837836 0.0367080i
\(472\) 23405.7 2.28249
\(473\) 10254.7 10370.7i 0.996854 1.00813i
\(474\) −137.931 −0.0133658
\(475\) −250.599 1097.94i −0.0242068 0.106057i
\(476\) −7336.76 6807.51i −0.706470 0.655508i
\(477\) −13129.5 + 6322.84i −1.26029 + 0.606924i
\(478\) −21014.3 + 3167.39i −2.01082 + 0.303082i
\(479\) −1605.12 + 2780.15i −0.153111 + 0.265195i −0.932369 0.361507i \(-0.882262\pi\)
0.779259 + 0.626702i \(0.215596\pi\)
\(480\) 56.6985 + 98.2047i 0.00539150 + 0.00933836i
\(481\) 901.110 + 1129.96i 0.0854201 + 0.107113i
\(482\) −897.509 11976.4i −0.0848142 1.13177i
\(483\) 134.365 + 342.356i 0.0126580 + 0.0322520i
\(484\) −17439.0 8398.16i −1.63777 0.788708i
\(485\) −8756.85 2701.13i −0.819851 0.252891i
\(486\) 423.598 1079.31i 0.0395367 0.100738i
\(487\) 5487.31 5091.48i 0.510583 0.473752i −0.382302 0.924038i \(-0.624868\pi\)
0.892884 + 0.450286i \(0.148678\pi\)
\(488\) −3938.82 2685.45i −0.365373 0.249107i
\(489\) −96.5359 + 121.052i −0.00892741 + 0.0111946i
\(490\) 16037.4 + 2417.25i 1.47856 + 0.222858i
\(491\) 9403.64 2900.64i 0.864319 0.266607i 0.169270 0.985570i \(-0.445859\pi\)
0.695049 + 0.718963i \(0.255383\pi\)
\(492\) 20.4044 272.278i 0.00186972 0.0249497i
\(493\) 4471.83 3048.85i 0.408522 0.278526i
\(494\) −594.402 + 2604.25i −0.0541365 + 0.237187i
\(495\) −2878.27 + 12610.5i −0.261351 + 1.14505i
\(496\) −6124.64 + 4175.71i −0.554444 + 0.378014i
\(497\) −1924.45 + 25680.1i −0.173689 + 2.31772i
\(498\) 320.473 98.8527i 0.0288368 0.00889497i
\(499\) −18322.8 2761.72i −1.64377 0.247759i −0.739016 0.673687i \(-0.764709\pi\)
−0.904757 + 0.425928i \(0.859948\pi\)
\(500\) −13653.2 + 17120.6i −1.22118 + 1.53131i
\(501\) −144.799 98.7223i −0.0129125 0.00880357i
\(502\) 2089.94 1939.18i 0.185814 0.172410i
\(503\) 3604.30 9183.61i 0.319499 0.814069i −0.677418 0.735598i \(-0.736901\pi\)
0.996916 0.0784707i \(-0.0250037\pi\)
\(504\) −20847.3 6430.55i −1.84249 0.568332i
\(505\) 13876.0 + 6682.32i 1.22272 + 0.588831i
\(506\) 10990.4 + 28003.0i 0.965575 + 2.46024i
\(507\) 15.1810 + 202.576i 0.00132980 + 0.0177450i
\(508\) −2429.92 3047.02i −0.212225 0.266122i
\(509\) −2321.74 4021.37i −0.202179 0.350185i 0.747051 0.664767i \(-0.231469\pi\)
−0.949230 + 0.314582i \(0.898136\pi\)
\(510\) 63.9936 110.840i 0.00555624 0.00962369i
\(511\) −24672.8 + 3718.82i −2.13593 + 0.321939i
\(512\) −8900.91 + 4286.45i −0.768297 + 0.369992i
\(513\) 127.657 + 118.449i 0.0109868 + 0.0101942i
\(514\) 482.837 + 2115.45i 0.0414339 + 0.181534i
\(515\) 12039.2 1.03012
\(516\) −268.164 + 367.657i −0.0228784 + 0.0313666i
\(517\) 25670.7 2.18375
\(518\) −2071.82 9077.24i −0.175735 0.769944i
\(519\) 194.711 + 180.665i 0.0164679 + 0.0152800i
\(520\) 4958.07 2387.68i 0.418127 0.201359i
\(521\) −15705.7 + 2367.26i −1.32069 + 0.199062i −0.771284 0.636492i \(-0.780385\pi\)
−0.549409 + 0.835554i \(0.685147\pi\)
\(522\) 13275.0 22992.9i 1.11308 1.92792i
\(523\) 7864.53 + 13621.8i 0.657537 + 1.13889i 0.981251 + 0.192733i \(0.0617352\pi\)
−0.323714 + 0.946155i \(0.604931\pi\)
\(524\) 12531.4 + 15713.9i 1.04473 + 1.31005i
\(525\) −8.75236 116.792i −0.000727589 0.00970901i
\(526\) −4722.75 12033.4i −0.391486 0.997490i
\(527\) −6185.06 2978.57i −0.511244 0.246202i
\(528\) 155.758 + 48.0450i 0.0128381 + 0.00396002i
\(529\) 1072.34 2732.28i 0.0881352 0.224565i
\(530\) −17358.9 + 16106.7i −1.42269 + 1.32006i
\(531\) 17236.8 + 11751.8i 1.40869 + 0.960427i
\(532\) 6897.04 8648.61i 0.562076 0.704821i
\(533\) 3281.28 + 494.574i 0.266657 + 0.0401921i
\(534\) −190.327 + 58.7082i −0.0154237 + 0.00475759i
\(535\) −305.818 + 4080.85i −0.0247134 + 0.329777i
\(536\) −3969.11 + 2706.10i −0.319850 + 0.218070i
\(537\) −60.8268 + 266.500i −0.00488803 + 0.0214159i
\(538\) 62.9493 275.799i 0.00504449 0.0221014i
\(539\) −15805.1 + 10775.7i −1.26303 + 0.861121i
\(540\) 60.3346 805.110i 0.00480813 0.0641600i
\(541\) −12387.9 + 3821.16i −0.984469 + 0.303669i −0.744875 0.667204i \(-0.767491\pi\)
−0.239595 + 0.970873i \(0.577015\pi\)
\(542\) 1467.03 + 221.119i 0.116263 + 0.0175238i
\(543\) −219.187 + 274.852i −0.0173227 + 0.0217220i
\(544\) −2348.58 1601.24i −0.185100 0.126199i
\(545\) −4348.89 + 4035.18i −0.341809 + 0.317153i
\(546\) −101.492 + 258.596i −0.00795502 + 0.0202691i
\(547\) 12087.2 + 3728.42i 0.944813 + 0.291436i 0.728623 0.684915i \(-0.240161\pi\)
0.216190 + 0.976351i \(0.430637\pi\)
\(548\) 8950.58 + 4310.37i 0.697719 + 0.336004i
\(549\) −1552.35 3955.32i −0.120679 0.307484i
\(550\) −715.899 9553.01i −0.0555019 0.740622i
\(551\) 3729.69 + 4676.89i 0.288367 + 0.361601i
\(552\) −208.543 361.207i −0.0160801 0.0278515i
\(553\) −3470.95 + 6011.86i −0.266907 + 0.462297i
\(554\) 18897.3 2848.31i 1.44922 0.218435i
\(555\) 68.9570 33.2080i 0.00527399 0.00253982i
\(556\) 24216.4 + 22469.5i 1.84713 + 1.71388i
\(557\) 2208.96 + 9678.10i 0.168037 + 0.736219i 0.986781 + 0.162060i \(0.0518138\pi\)
−0.818744 + 0.574159i \(0.805329\pi\)
\(558\) −33675.8 −2.55485
\(559\) −4212.18 3583.86i −0.318705 0.271165i
\(560\) −6955.41 −0.524857
\(561\) 33.5905 + 147.170i 0.00252797 + 0.0110758i
\(562\) −10719.7 9946.46i −0.804599 0.746559i
\(563\) 7336.18 3532.92i 0.549171 0.264467i −0.138657 0.990340i \(-0.544279\pi\)
0.687828 + 0.725874i \(0.258564\pi\)
\(564\) −792.025 + 119.379i −0.0591317 + 0.00891267i
\(565\) 50.0552 86.6981i 0.00372715 0.00645561i
\(566\) 2994.86 + 5187.25i 0.222409 + 0.385224i
\(567\) −12118.3 15195.9i −0.897570 1.12552i
\(568\) −2182.46 29123.0i −0.161222 2.15136i
\(569\) 1298.90 + 3309.54i 0.0956990 + 0.243837i 0.970705 0.240275i \(-0.0772378\pi\)
−0.875006 + 0.484113i \(0.839143\pi\)
\(570\) 127.450 + 61.3767i 0.00936543 + 0.00451015i
\(571\) 7794.80 + 2404.38i 0.571282 + 0.176217i 0.566919 0.823773i \(-0.308135\pi\)
0.00436273 + 0.999990i \(0.498611\pi\)
\(572\) −5336.39 + 13596.9i −0.390080 + 0.993907i
\(573\) 219.225 203.411i 0.0159830 0.0148300i
\(574\) −17662.8 12042.3i −1.28438 0.875673i
\(575\) −2998.56 + 3760.07i −0.217476 + 0.272706i
\(576\) −19790.1 2982.88i −1.43158 0.215775i
\(577\) −3955.43 + 1220.09i −0.285384 + 0.0880293i −0.434142 0.900844i \(-0.642949\pi\)
0.148758 + 0.988874i \(0.452472\pi\)
\(578\) 1497.83 19987.1i 0.107788 1.43833i
\(579\) −150.411 + 102.549i −0.0107960 + 0.00736058i
\(580\) 6171.27 27038.1i 0.441807 1.93568i
\(581\) 3755.90 16455.7i 0.268195 1.17504i
\(582\) −433.469 + 295.534i −0.0308726 + 0.0210486i
\(583\) 2087.20 27851.7i 0.148272 1.97856i
\(584\) 27039.5 8340.60i 1.91593 0.590987i
\(585\) 4850.14 + 731.041i 0.342784 + 0.0516664i
\(586\) 5331.75 6685.80i 0.375858 0.471310i
\(587\) 10069.9 + 6865.55i 0.708058 + 0.482746i 0.863017 0.505175i \(-0.168572\pi\)
−0.154959 + 0.987921i \(0.549525\pi\)
\(588\) 437.528 405.966i 0.0306859 0.0284724i
\(589\) 2772.02 7062.99i 0.193920 0.494101i
\(590\) 32394.0 + 9992.22i 2.26040 + 0.697242i
\(591\) −427.726 205.982i −0.0297703 0.0143366i
\(592\) 756.844 + 1928.41i 0.0525441 + 0.133880i
\(593\) 157.856 + 2106.44i 0.0109315 + 0.145870i 0.999999 0.00159472i \(-0.000507615\pi\)
−0.989067 + 0.147465i \(0.952889\pi\)
\(594\) 923.612 + 1158.17i 0.0637984 + 0.0800007i
\(595\) −3220.71 5578.44i −0.221910 0.384359i
\(596\) −5314.33 + 9204.69i −0.365241 + 0.632615i
\(597\) −112.701 + 16.9869i −0.00772620 + 0.00116454i
\(598\) 10277.7 4949.46i 0.702818 0.338459i
\(599\) −8583.54 7964.36i −0.585499 0.543264i 0.330830 0.943690i \(-0.392671\pi\)
−0.916329 + 0.400427i \(0.868862\pi\)
\(600\) 29.5556 + 129.492i 0.00201101 + 0.00881079i
\(601\) 12356.6 0.838665 0.419332 0.907833i \(-0.362264\pi\)
0.419332 + 0.907833i \(0.362264\pi\)
\(602\) 14430.9 + 32575.2i 0.977011 + 2.20542i
\(603\) −4281.71 −0.289162
\(604\) 7498.01 + 32850.9i 0.505116 + 2.21306i
\(605\) −9131.84 8473.11i −0.613656 0.569390i
\(606\) 794.387 382.557i 0.0532504 0.0256441i
\(607\) 18452.2 2781.23i 1.23386 0.185975i 0.500453 0.865764i \(-0.333167\pi\)
0.733408 + 0.679789i \(0.237929\pi\)
\(608\) 1570.85 2720.79i 0.104780 0.181484i
\(609\) 311.054 + 538.762i 0.0206971 + 0.0358485i
\(610\) −4304.96 5398.25i −0.285742 0.358310i
\(611\) −727.453 9707.18i −0.0481663 0.642734i
\(612\) 3696.04 + 9417.36i 0.244123 + 0.622017i
\(613\) −10490.7 5052.07i −0.691218 0.332873i 0.0550828 0.998482i \(-0.482458\pi\)
−0.746301 + 0.665609i \(0.768172\pi\)
\(614\) 8375.90 + 2583.62i 0.550527 + 0.169815i
\(615\) 64.2008 163.581i 0.00420948 0.0107256i
\(616\) 30651.4 28440.4i 2.00484 1.86022i
\(617\) −13610.8 9279.71i −0.888090 0.605489i 0.0310078 0.999519i \(-0.490128\pi\)
−0.919098 + 0.394030i \(0.871081\pi\)
\(618\) 429.730 538.865i 0.0279713 0.0350750i
\(619\) −138.342 20.8517i −0.00898293 0.00135396i 0.144549 0.989498i \(-0.453827\pi\)
−0.153532 + 0.988144i \(0.549065\pi\)
\(620\) −33614.1 + 10368.6i −2.17738 + 0.671632i
\(621\) 55.5753 741.601i 0.00359124 0.0479218i
\(622\) −24923.3 + 16992.4i −1.60665 + 1.09539i
\(623\) −2230.61 + 9772.95i −0.143447 + 0.628483i
\(624\) 13.7540 60.2602i 0.000882373 0.00386593i
\(625\) −7602.73 + 5183.46i −0.486575 + 0.331741i
\(626\) −1231.45 + 16432.6i −0.0786241 + 1.04917i
\(627\) −159.431 + 49.1780i −0.0101548 + 0.00313235i
\(628\) 48883.6 + 7368.02i 3.10616 + 0.468178i
\(629\) −1196.18 + 1499.96i −0.0758264 + 0.0950833i
\(630\) −26107.8 17800.0i −1.65105 1.12567i
\(631\) 1924.71 1785.87i 0.121429 0.112670i −0.617121 0.786868i \(-0.711701\pi\)
0.738550 + 0.674198i \(0.235511\pi\)
\(632\) 2876.18 7328.39i 0.181026 0.461246i
\(633\) −128.519 39.6428i −0.00806977 0.00248919i
\(634\) 14966.5 + 7207.51i 0.937536 + 0.451493i
\(635\) −916.377 2334.89i −0.0572682 0.145917i
\(636\) 65.1242 + 869.022i 0.00406029 + 0.0541807i
\(637\) 4522.65 + 5671.22i 0.281309 + 0.352750i
\(638\) 25442.7 + 44068.0i 1.57882 + 2.73459i
\(639\) 13015.2 22543.0i 0.805749 1.39560i
\(640\) −24155.9 + 3640.92i −1.49195 + 0.224875i
\(641\) 2138.12 1029.67i 0.131749 0.0634467i −0.366848 0.930281i \(-0.619563\pi\)
0.498597 + 0.866834i \(0.333849\pi\)
\(642\) 171.739 + 159.351i 0.0105576 + 0.00979607i
\(643\) −3696.48 16195.3i −0.226711 0.993284i −0.952302 0.305158i \(-0.901291\pi\)
0.725591 0.688126i \(-0.241566\pi\)
\(644\) −47239.8 −2.89054
\(645\) −234.667 + 175.238i −0.0143256 + 0.0106977i
\(646\) −3545.91 −0.215963
\(647\) −5790.25 25368.8i −0.351837 1.54150i −0.772937 0.634483i \(-0.781213\pi\)
0.421100 0.907014i \(-0.361644\pi\)
\(648\) 16158.0 + 14992.4i 0.979547 + 0.908887i
\(649\) −36023.8 + 17348.2i −2.17883 + 1.04927i
\(650\) −3592.11 + 541.424i −0.216760 + 0.0326714i
\(651\) 394.539 683.362i 0.0237530 0.0411414i
\(652\) −9943.77 17223.1i −0.597282 1.03452i
\(653\) 2359.27 + 2958.43i 0.141386 + 0.177293i 0.847483 0.530823i \(-0.178117\pi\)
−0.706097 + 0.708116i \(0.749546\pi\)
\(654\) 25.3809 + 338.685i 0.00151754 + 0.0202502i
\(655\) 4725.88 + 12041.3i 0.281916 + 0.718311i
\(656\) 4285.40 + 2063.74i 0.255056 + 0.122828i
\(657\) 24100.7 + 7434.07i 1.43114 + 0.441447i
\(658\) −22910.8 + 58375.8i −1.35738 + 3.45855i
\(659\) 9904.45 9189.99i 0.585467 0.543234i −0.330852 0.943683i \(-0.607336\pi\)
0.916319 + 0.400449i \(0.131146\pi\)
\(660\) 639.109 + 435.737i 0.0376929 + 0.0256986i
\(661\) −18953.8 + 23767.3i −1.11530 + 1.39855i −0.207970 + 0.978135i \(0.566686\pi\)
−0.907334 + 0.420411i \(0.861886\pi\)
\(662\) −41139.0 6200.71i −2.41528 0.364044i
\(663\) 54.6992 16.8725i 0.00320414 0.000988345i
\(664\) −1430.47 + 19088.3i −0.0836038 + 1.11562i
\(665\) 5882.36 4010.53i 0.343020 0.233867i
\(666\) −2094.21 + 9175.35i −0.121846 + 0.533840i
\(667\) 5684.47 24905.3i 0.329990 1.44578i
\(668\) 18598.9 12680.5i 1.07727 0.734467i
\(669\) 7.29844 97.3909i 0.000421785 0.00562833i
\(670\) −6648.61 + 2050.82i −0.383370 + 0.118254i
\(671\) 8052.71 + 1213.75i 0.463295 + 0.0698306i
\(672\) 203.711 255.446i 0.0116939 0.0146637i
\(673\) 12351.7 + 8421.27i 0.707465 + 0.482342i 0.862816 0.505518i \(-0.168698\pi\)
−0.155351 + 0.987859i \(0.549651\pi\)
\(674\) 21708.3 20142.4i 1.24061 1.15112i
\(675\) −86.5223 + 220.455i −0.00493370 + 0.0125709i
\(676\) −24933.8 7691.07i −1.41863 0.437589i
\(677\) 5424.49 + 2612.29i 0.307947 + 0.148299i 0.581474 0.813565i \(-0.302476\pi\)
−0.273527 + 0.961864i \(0.588190\pi\)
\(678\) −2.09385 5.33504i −0.000118604 0.000302199i
\(679\) 1973.17 + 26330.1i 0.111522 + 1.48815i
\(680\) 4554.61 + 5711.30i 0.256855 + 0.322086i
\(681\) −28.5573 49.4627i −0.00160693 0.00278328i
\(682\) 32271.3 55895.6i 1.81192 3.13835i
\(683\) −12481.0 + 1881.21i −0.699228 + 0.105392i −0.489030 0.872267i \(-0.662649\pi\)
−0.210198 + 0.977659i \(0.567411\pi\)
\(684\) −10074.2 + 4851.49i −0.563155 + 0.271201i
\(685\) 4686.94 + 4348.84i 0.261429 + 0.242570i
\(686\) −754.347 3305.01i −0.0419841 0.183944i
\(687\) −3.28303 −0.000182323
\(688\) −4255.24 6688.41i −0.235799 0.370630i
\(689\) −10591.1 −0.585613
\(690\) −134.424 588.949i −0.00741656 0.0324941i
\(691\) −16718.8 15512.8i −0.920427 0.854031i 0.0692135 0.997602i \(-0.477951\pi\)
−0.989640 + 0.143571i \(0.954142\pi\)
\(692\) −30738.8 + 14803.0i −1.68860 + 0.813188i
\(693\) 36852.5 5554.62i 2.02007 0.304477i
\(694\) −8491.48 + 14707.7i −0.464456 + 0.804461i
\(695\) 10630.6 + 18412.7i 0.580203 + 1.00494i
\(696\) −439.881 551.593i −0.0239564 0.0300403i
\(697\) 329.182 + 4392.63i 0.0178890 + 0.238713i
\(698\) −4907.30 12503.6i −0.266109 0.678034i
\(699\) −36.6069 17.6290i −0.00198083 0.000953918i
\(700\) 14375.2 + 4434.18i 0.776190 + 0.239423i
\(701\) 8567.39 21829.4i 0.461606 1.17615i −0.490787 0.871280i \(-0.663291\pi\)
0.952393 0.304873i \(-0.0986141\pi\)
\(702\) 411.781 382.077i 0.0221391 0.0205421i
\(703\) −1752.01 1194.50i −0.0939947 0.0640845i
\(704\) 23915.8 29989.5i 1.28034 1.60550i
\(705\) −509.744 76.8315i −0.0272313 0.00410446i
\(706\) −23421.6 + 7224.61i −1.24856 + 0.385130i
\(707\) 3316.15 44250.9i 0.176402 2.35393i
\(708\) 1030.78 702.772i 0.0547160 0.0373048i
\(709\) −4385.61 + 19214.6i −0.232306 + 1.01780i 0.715415 + 0.698699i \(0.246237\pi\)
−0.947721 + 0.319099i \(0.896620\pi\)
\(710\) 9412.42 41238.5i 0.497524 2.17979i
\(711\) 5797.66 3952.78i 0.305808 0.208496i
\(712\) 849.549 11336.4i 0.0447166 0.596701i
\(713\) −30962.5 + 9550.68i −1.62631 + 0.501649i
\(714\) −364.647 54.9616i −0.0191128 0.00288080i
\(715\) −5861.26 + 7349.79i −0.306572 + 0.384429i
\(716\) −29010.3 19778.9i −1.51420 1.03236i
\(717\) −368.977 + 342.360i −0.0192185 + 0.0178322i
\(718\) −22647.5 + 57705.0i −1.17716 + 2.99935i
\(719\) 21083.0 + 6503.24i 1.09355 + 0.337316i 0.788509 0.615023i \(-0.210853\pi\)
0.305042 + 0.952339i \(0.401329\pi\)
\(720\) 6334.35 + 3050.46i 0.327871 + 0.157894i
\(721\) −12673.0 32290.4i −0.654603 1.66790i
\(722\) 2132.94 + 28462.1i 0.109944 + 1.46711i
\(723\) −177.355 222.397i −0.00912298 0.0114399i
\(724\) −22577.6 39105.5i −1.15896 2.00738i
\(725\) −4067.54 + 7045.19i −0.208365 + 0.360899i
\(726\) −705.202 + 106.292i −0.0360503 + 0.00543371i
\(727\) −23324.3 + 11232.4i −1.18989 + 0.573021i −0.920778 0.390088i \(-0.872445\pi\)
−0.269113 + 0.963109i \(0.586730\pi\)
\(728\) −11623.1 10784.7i −0.591732 0.549047i
\(729\) 4367.66 + 19135.9i 0.221900 + 0.972207i
\(730\) 40984.0 2.07793
\(731\) 3393.90 6509.90i 0.171721 0.329381i
\(732\) −254.097 −0.0128302
\(733\) −1566.41 6862.88i −0.0789313 0.345820i 0.920006 0.391903i \(-0.128183\pi\)
−0.998938 + 0.0460830i \(0.985326\pi\)
\(734\) −9059.80 8406.27i −0.455590 0.422726i
\(735\) 346.094 166.670i 0.0173685 0.00836423i
\(736\) −13266.6 + 1999.62i −0.664422 + 0.100145i
\(737\) 4103.14 7106.85i 0.205076 0.355203i
\(738\) 10804.2 + 18713.5i 0.538901 + 0.933404i
\(739\) −1408.33 1765.99i −0.0701033 0.0879068i 0.745543 0.666457i \(-0.232190\pi\)
−0.815647 + 0.578550i \(0.803619\pi\)
\(740\) 734.659 + 9803.35i 0.0364954 + 0.486998i
\(741\) 23.1142 + 58.8941i 0.00114591 + 0.00291974i
\(742\) 61472.7 + 29603.7i 3.04142 + 1.46467i
\(743\) −5843.67 1802.53i −0.288538 0.0890020i 0.147108 0.989120i \(-0.453004\pi\)
−0.435645 + 0.900118i \(0.643480\pi\)
\(744\) −326.932 + 833.010i −0.0161101 + 0.0410479i
\(745\) −5014.48 + 4652.76i −0.246599 + 0.228811i
\(746\) 21148.7 + 14419.0i 1.03795 + 0.707662i
\(747\) −10637.5 + 13339.1i −0.521027 + 0.653348i
\(748\) −19173.0 2889.86i −0.937211 0.141262i
\(749\) 11267.2 3475.46i 0.549658 0.169547i
\(750\) −60.2950 + 804.581i −0.00293555 + 0.0391722i
\(751\) −1969.69 + 1342.91i −0.0957059 + 0.0652512i −0.610227 0.792226i \(-0.708922\pi\)
0.514522 + 0.857477i \(0.327970\pi\)
\(752\) 3104.84 13603.2i 0.150561 0.659651i
\(753\) 15.0260 65.8331i 0.000727193 0.00318604i
\(754\) 15943.0 10869.7i 0.770039 0.525004i
\(755\) −1620.63 + 21625.8i −0.0781202 + 1.04244i
\(756\) −2222.90 + 685.672i −0.106939 + 0.0329863i
\(757\) 6965.17 + 1049.83i 0.334417 + 0.0504052i 0.314104 0.949388i \(-0.398296\pi\)
0.0203124 + 0.999794i \(0.493534\pi\)
\(758\) −7240.68