Properties

Label 43.4.g.a.13.10
Level 43
Weight 4
Character 43.13
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 13.10
Character \(\chi\) \(=\) 43.13
Dual form 43.4.g.a.10.10

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\)

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 −0.347886 0.937537i \(-0.613101\pi\)
0.720217 0.693749i \(-0.244042\pi\)
\(3\) 0.0821692 0.0762418i 0.0158135 0.0146727i −0.672226 0.740346i \(-0.734662\pi\)
0.688040 + 0.725673i \(0.258471\pi\)
\(4\) −12.9720 6.24696i −1.62149 0.780871i
\(5\) −9.16285 1.38108i −0.819550 0.123527i −0.274133 0.961692i \(-0.588391\pi\)
−0.545417 + 0.838165i \(0.683629\pi\)
\(6\) −0.265245 0.459417i −0.0180476 0.0312594i
\(7\) 13.3494 23.1219i 0.720801 1.24846i −0.239878 0.970803i \(-0.577107\pi\)
0.960679 0.277662i \(-0.0895594\pi\)
\(8\) −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 0.332646 0.943052i \(-0.392058\pi\)
0.944709 + 0.327910i \(0.106344\pi\)
\(12\) −1.54217 + 0.475698i −0.0370990 + 0.0114435i
\(13\) 7.16573 + 18.2580i 0.152878 + 0.389527i 0.986710 0.162491i \(-0.0519529\pi\)
−0.833832 + 0.552019i \(0.813858\pi\)
\(14\) −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 0.0372046 0.999308i \(-0.488155\pi\)
0.330103 + 0.943945i \(0.392917\pi\)
\(18\) 122.047 + 37.6466i 1.59816 + 0.492966i
\(19\) −2.15050 28.6965i −0.0259663 0.346496i −0.995022 0.0996544i \(-0.968226\pi\)
0.969056 0.246842i \(-0.0793928\pi\)
\(20\) 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 0.928084 0.372371i \(-0.121455\pi\)
−0.00756319 + 0.999971i \(0.502407\pi\)
\(24\) 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 0.995530 0.0944440i \(-0.0301073\pi\)
−0.0197839 + 0.999804i \(0.506298\pi\)
\(30\) 1.79591 + 4.57589i 0.0109295 + 0.0278480i
\(31\) −251.951 + 77.7167i −1.45974 + 0.450269i −0.920118 0.391641i \(-0.871908\pi\)
−0.539618 + 0.841910i \(0.681431\pi\)
\(32\) −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 0.772492 0.635025i \(-0.219010\pi\)
−0.936194 + 0.351485i \(0.885677\pi\)
\(38\) −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 −0.851229 0.524795i \(-0.824142\pi\)
0.994631 0.103489i \(-0.0330008\pi\)
\(42\) −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 0.970636 0.240553i \(-0.0773287\pi\)
0.417110 + 0.908856i \(0.363043\pi\)
\(48\) 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 0.409378 + 0.912365i \(0.365746\pi\)
−0.920661 + 0.390363i \(0.872349\pi\)
\(54\) 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 −0.939970 0.341256i \(-0.889148\pi\)
−0.123537 0.992340i \(-0.539424\pi\)
\(60\) 14.7877 2.22889i 0.0318180 0.00479580i
\(61\) 150.450 + 46.4077i 0.315790 + 0.0974082i 0.448598 0.893733i \(-0.351923\pi\)
−0.132809 + 0.991142i \(0.542400\pi\)
\(62\) 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 0.997526 + 0.0702998i \(0.0223956\pi\)
−0.975907 + 0.218188i \(0.929985\pi\)
\(68\) −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 0.332708 0.943030i \(-0.392037\pi\)
0.999394 + 0.0348179i \(0.0110851\pi\)
\(72\) −599.002 555.793i −0.980460 0.909734i
\(73\) −341.430 869.950i −0.547416 1.39479i −0.890282 0.455409i \(-0.849493\pi\)
0.342866 0.939384i \(-0.388602\pi\)
\(74\) −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 −0.758480 0.651697i \(-0.774057\pi\)
0.943626 + 0.331014i \(0.107391\pi\)
\(80\) −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 −0.924328 0.381600i \(-0.875373\pi\)
0.311458 + 0.950260i \(0.399183\pi\)
\(84\) −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 −0.499053 0.866571i \(-0.666319\pi\)
0.826854 + 0.562417i \(0.190128\pi\)
\(90\) −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 0.0950916 0.995469i \(-0.469686\pi\)
0.837577 + 0.546319i \(0.183971\pi\)
\(98\) −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 −0.999913 0.0132253i \(-0.995790\pi\)
−0.352998 + 0.935624i \(0.614838\pi\)
\(102\) −8.61166 10.7987i −0.00835962 0.0104826i
\(103\) −1284.73 + 193.642i −1.22901 + 0.185244i −0.731274 0.682084i \(-0.761074\pi\)
−0.497738 + 0.867327i \(0.665836\pi\)
\(104\) −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 0.999723 0.0235450i \(-0.00749531\pi\)
−0.910935 + 0.412550i \(0.864638\pi\)
\(108\) −19.3880 84.9444i −0.0172742 0.0756832i
\(109\) 528.982 + 360.654i 0.464837 + 0.316921i 0.772992 0.634415i \(-0.218759\pi\)
−0.308155 + 0.951336i \(0.599711\pi\)
\(110\) 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 0.779020 0.626999i \(-0.215717\pi\)
−0.784627 + 0.619968i \(0.787146\pi\)
\(114\) −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 −0.949516 0.313718i \(-0.898425\pi\)
0.991602 + 0.129329i \(0.0412825\pi\)
\(128\) 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 0.759260 + 0.650788i \(0.225561\pi\)
−0.966436 + 0.256909i \(0.917296\pi\)
\(132\) −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 −0.897664 0.440680i \(-0.854737\pi\)
0.629381 + 0.777097i \(0.283309\pi\)
\(138\) 4.87183 65.0100i 0.00300520 0.0401016i
\(139\) −838.257 + 2135.84i −0.511511 + 1.30331i 0.408980 + 0.912543i \(0.365885\pi\)
−0.920491 + 0.390765i \(0.872211\pi\)
\(140\) 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 0.719277 0.694724i \(-0.244473\pi\)
−0.383919 + 0.923367i \(0.625426\pi\)
\(150\) 4.61967 + 20.2401i 0.00251463 + 0.0110173i
\(151\) 520.776 + 2281.67i 0.280663 + 1.22966i 0.896946 + 0.442140i \(0.145781\pi\)
−0.616283 + 0.787525i \(0.711362\pi\)
\(152\) 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 −0.446018 + 0.895024i \(0.647158\pi\)
−0.996103 + 0.0881973i \(0.971889\pi\)
\(158\) −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 −0.915885 0.401441i \(-0.868509\pi\)
0.965487 0.260452i \(-0.0838715\pi\)
\(164\) −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 −0.219261 0.975666i \(-0.570365\pi\)
−0.497102 + 0.867692i \(0.665603\pi\)
\(168\) 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 −0.490800 0.871272i \(-0.663295\pi\)
0.999944 0.0105911i \(-0.00337131\pi\)
\(180\) −2244.89 + 2815.00i −0.929579 + 1.16566i
\(181\) 234.373 3127.49i 0.0962474 1.28433i −0.714790 0.699339i \(-0.753478\pi\)
0.811038 0.584994i \(-0.198903\pi\)
\(182\) 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 0.898261 + 0.439462i \(0.144831\pi\)
−0.822730 + 0.568432i \(0.807550\pi\)
\(192\) 68.6822 + 46.8267i 0.0258162 + 0.0176012i
\(193\) −361.386 1583.34i −0.134783 0.590524i −0.996534 0.0831912i \(-0.973489\pi\)
0.861750 0.507332i \(-0.169368\pi\)
\(194\) −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 −0.542311 0.840178i \(-0.682451\pi\)
−0.921367 + 0.388693i \(0.872927\pi\)
\(198\) 6532.47 984.611i 2.34466 0.353400i
\(199\) −633.958 794.959i −0.225830 0.283182i 0.655989 0.754771i \(-0.272252\pi\)
−0.881818 + 0.471589i \(0.843680\pi\)
\(200\) 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 0.249137 0.968468i \(-0.419853\pi\)
−0.601845 + 0.798613i \(0.705567\pi\)
\(212\) 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 −0.856677 0.515853i \(-0.827475\pi\)
0.693548 + 0.720411i \(0.256047\pi\)
\(224\) −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 −0.365118 0.930961i \(-0.618971\pi\)
0.222755 + 0.974875i \(0.428495\pi\)
\(228\) 16.9673 + 43.2320i 0.00492845 + 0.0125575i
\(229\) −21.4702 19.9214i −0.00619559 0.00574867i 0.677069 0.735920i \(-0.263250\pi\)
−0.683264 + 0.730171i \(0.739440\pi\)
\(230\) −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 0.245678 0.969352i \(-0.420989\pi\)
−0.343067 + 0.939311i \(0.611466\pi\)
\(234\) 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 −0.837385 0.546614i \(-0.815916\pi\)
0.746563 0.665315i \(-0.231703\pi\)
\(240\) −27.9041 8.60728i −0.00750501 0.00231499i
\(241\) −2509.36 + 378.225i −0.670714 + 0.101094i −0.475566 0.879680i \(-0.657757\pi\)
−0.195148 + 0.980774i \(0.562519\pi\)
\(242\) −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 −0.901410 0.432966i \(-0.857467\pi\)
0.825665 + 0.564161i \(0.190800\pi\)
\(252\) −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 −0.175435 0.984491i \(-0.556133\pi\)
−0.457825 + 0.889042i \(0.651371\pi\)
\(264\) 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 −0.439977 0.898009i \(-0.645013\pi\)
0.427770 + 0.903887i \(0.359299\pi\)
\(270\) −253.596 + 78.2239i −0.0571605 + 0.0176317i
\(271\) 114.528 + 291.814i 0.0256720 + 0.0654111i 0.943135 0.332410i \(-0.107862\pi\)
−0.917463 + 0.397821i \(0.869766\pi\)
\(272\) 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 0.929213 + 0.369544i \(0.120486\pi\)
−0.863757 + 0.503909i \(0.831895\pi\)
\(278\) 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 0.261162 0.965295i \(-0.415894\pi\)
−0.803154 + 0.595771i \(0.796847\pi\)
\(282\) −19.6752 262.547i −0.00415476 0.0554414i
\(283\) 1209.40 + 373.049i 0.254032 + 0.0783585i 0.419156 0.907914i \(-0.362326\pi\)
−0.165124 + 0.986273i \(0.552802\pi\)
\(284\) −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 −0.881356 0.472452i \(-0.843369\pi\)
0.656727 + 0.754128i \(0.271940\pi\)
\(294\) −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 0.939174 0.343441i \(-0.111593\pi\)
−0.767016 + 0.641628i \(0.778259\pi\)
\(308\) −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 −0.545308 0.838236i \(-0.683587\pi\)
0.969884 0.243567i \(-0.0783176\pi\)
\(312\) −59.9761 + 28.8830i −0.0108829 + 0.00524095i
\(313\) 3327.23 1026.31i 0.600850 0.185338i 0.0206160 0.999787i \(-0.493437\pi\)
0.580234 + 0.814450i \(0.302961\pi\)
\(314\) 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 0.936947 0.349471i \(-0.113639\pi\)
−0.549199 + 0.835692i \(0.685067\pi\)
\(318\) 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 −0.902971 0.429701i \(-0.858619\pi\)
0.369654 0.929170i \(-0.379476\pi\)
\(332\) 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 0.494253 + 0.869318i \(0.335442\pi\)
−0.999978 + 0.00662342i \(0.997892\pi\)
\(338\) −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 −0.449964 0.893047i \(-0.648563\pi\)
0.856924 + 0.515443i \(0.172373\pi\)
\(348\) −302.259 145.560i −0.0465597 0.0224220i
\(349\) −2806.49 423.010i −0.430453 0.0648803i −0.0697573 0.997564i \(-0.522222\pi\)
−0.360695 + 0.932684i \(0.617461\pi\)
\(350\) 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 −0.888875 0.458150i \(-0.848512\pi\)
0.947231 0.320553i \(-0.103869\pi\)
\(354\) −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 0.643361 0.765563i \(-0.277539\pi\)
0.947689 0.319196i \(-0.103413\pi\)
\(360\) 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 0.400073 0.916483i \(-0.368985\pi\)
−0.706967 + 0.707247i \(0.749937\pi\)
\(368\) 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 0.905610 0.424111i \(-0.139414\pi\)
−0.355249 + 0.934772i \(0.615604\pi\)
\(374\) −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 −0.667268 0.744818i \(-0.732536\pi\)
0.874625 + 0.484801i \(0.161108\pi\)
\(380\) 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 0.320331 0.947306i \(-0.396206\pi\)
−0.540910 + 0.841080i \(0.681920\pi\)
\(384\) 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 −0.498942 0.866635i \(-0.666278\pi\)
0.825550 0.564328i \(-0.190865\pi\)
\(390\) −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 0.0783317 + 0.996927i \(0.475041\pi\)
−0.735504 + 0.677520i \(0.763055\pi\)
\(398\) −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 0.207836 0.978164i \(-0.433358\pi\)
−0.959897 + 0.280353i \(0.909549\pi\)
\(402\) 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 −0.886828 0.462099i \(-0.847096\pi\)
0.598507 0.801117i \(-0.295761\pi\)
\(410\) 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 −0.708142 0.706070i \(-0.750466\pi\)
0.110508 + 0.993875i \(0.464752\pi\)
\(420\) 145.871 371.674i 0.0169471 0.0431805i
\(421\) −679.172 + 9062.92i −0.0786243 + 1.04917i 0.808760 + 0.588138i \(0.200139\pi\)
−0.887385 + 0.461030i \(0.847480\pi\)
\(422\) −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 0.385164 0.922848i \(-0.374145\pi\)
0.949051 0.315122i \(-0.102046\pi\)
\(434\) 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 −0.962584 0.270984i \(-0.912651\pi\)
0.992221 0.124491i \(-0.0397299\pi\)
\(440\) 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 0.965457 + 0.260564i \(0.0839086\pi\)
−0.530501 + 0.847684i \(0.677996\pi\)
\(444\) 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 −0.999840 0.0178654i \(-0.994313\pi\)
0.986010 0.166684i \(-0.0533061\pi\)
\(450\) −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 −0.814546 0.580099i \(-0.803014\pi\)
−0.384301 0.923208i \(-0.625558\pi\)
\(458\) −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 −0.335323 0.942103i \(-0.608845\pi\)
0.253649 + 0.967296i \(0.418369\pi\)
\(462\) −660.040 + 317.858i −0.0664672 + 0.0320089i
\(463\) −4207.23 + 10719.8i −0.422303 + 1.07601i 0.548504 + 0.836148i \(0.315198\pi\)
−0.970807 + 0.239863i \(0.922898\pi\)
\(464\) −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 0.995106 0.0988109i \(-0.0315039\pi\)
−0.583126 + 0.812382i \(0.698171\pi\)
\(468\) 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 0.779259 0.626702i \(-0.215596\pi\)
−0.932369 + 0.361507i \(0.882262\pi\)
\(480\) 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 0.892884 0.450286i \(-0.148678\pi\)
−0.382302 + 0.924038i \(0.624868\pi\)
\(488\) −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 0.695049 0.718963i \(-0.255383\pi\)
0.169270 + 0.985570i \(0.445859\pi\)
\(492\) 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 −0.904757 0.425928i \(-0.859948\pi\)
−0.739016 + 0.673687i \(0.764709\pi\)
\(500\) −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 0.996916 + 0.0784707i \(0.0250037\pi\)
−0.677418 + 0.735598i \(0.736901\pi\)
\(504\) −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 −0.949230 0.314582i \(-0.898136\pi\)
0.747051 + 0.664767i \(0.231469\pi\)
\(510\) 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 −0.549409 0.835554i \(-0.685147\pi\)
−0.771284 + 0.636492i \(0.780385\pi\)
\(522\) 13275.0 + 22992.9i 1.11308 + 1.92792i
\(523\) 7864.53 13621.8i 0.657537 1.13889i −0.323714 0.946155i \(-0.604931\pi\)
0.981251 0.192733i \(-0.0617352\pi\)
\(524\) 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 −0.239595 0.970873i \(-0.577015\pi\)
−0.744875 + 0.667204i \(0.767491\pi\)
\(542\) 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 0.216190 0.976351i \(-0.430637\pi\)
0.728623 + 0.684915i \(0.240161\pi\)
\(548\) 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 −0.818744 0.574159i \(-0.805329\pi\)
0.986781 0.162060i \(-0.0518138\pi\)
\(558\) −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 0.687828 0.725874i \(-0.258564\pi\)
−0.138657 + 0.990340i \(0.544279\pi\)
\(564\) −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 −0.875006 0.484113i \(-0.839143\pi\)
0.970705 + 0.240275i \(0.0772378\pi\)
\(570\) 127.450 61.3767i 0.00936543 0.00451015i
\(571\) 7794.80 2404.38i 0.571282 0.176217i 0.00436273 0.999990i \(-0.498611\pi\)
0.566919 + 0.823773i \(0.308135\pi\)
\(572\) −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 0.148758 0.988874i \(-0.452472\pi\)
−0.434142 + 0.900844i \(0.642949\pi\)
\(578\) 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 −0.154959 0.987921i \(-0.549525\pi\)
0.863017 + 0.505175i \(0.168572\pi\)
\(588\) 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 −0.989067 0.147465i \(-0.952889\pi\)
0.999999 + 0.00159472i \(0.000507615\pi\)
\(594\) 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 −0.916329 0.400427i \(-0.868862\pi\)
0.330830 + 0.943690i \(0.392671\pi\)
\(600\) 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 0.733408 0.679789i \(-0.237929\pi\)
0.500453 + 0.865764i \(0.333167\pi\)
\(608\) 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 −0.746301 0.665609i \(-0.768172\pi\)
0.0550828 + 0.998482i \(0.482458\pi\)
\(614\) 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 −0.919098 0.394030i \(-0.871081\pi\)
0.0310078 + 0.999519i \(0.490128\pi\)
\(618\) 429.730 + 538.865i 0.0279713 + 0.0350750i
\(619\) −138.342 + 20.8517i −0.00898293 + 0.00135396i −0.153532 0.988144i \(-0.549065\pi\)
0.144549 + 0.989498i \(0.453827\pi\)
\(620\) −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 0.738550 0.674198i \(-0.235511\pi\)
−0.617121 + 0.786868i \(0.711701\pi\)
\(632\) 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 0.498597 0.866834i \(-0.333849\pi\)
−0.366848 + 0.930281i \(0.619563\pi\)
\(642\) 171.739 159.351i 0.0105576 0.00979607i
\(643\) −3696.48 + 16195.3i −0.226711 + 0.993284i 0.725591 + 0.688126i \(0.241566\pi\)
−0.952302 + 0.305158i \(0.901291\pi\)
\(644\) −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 0.421100 + 0.907014i \(0.361644\pi\)
−0.772937 + 0.634483i \(0.781213\pi\)
\(648\) 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 −0.706097 0.708116i \(-0.749546\pi\)
0.847483 + 0.530823i \(0.178117\pi\)
\(654\) 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 0.916319 0.400449i \(-0.131146\pi\)
−0.330852 + 0.943683i \(0.607336\pi\)
\(660\) 639.109 435.737i 0.0376929 0.0256986i
\(661\) −18953.8 23767.3i −1.11530 1.39855i −0.907334 0.420411i \(-0.861886\pi\)
−0.207970 0.978135i \(-0.566686\pi\)
\(662\) −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 −0.155351 0.987859i \(-0.549651\pi\)
0.862816 + 0.505518i \(0.168698\pi\)
\(674\) 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 −0.273527 0.961864i \(-0.588190\pi\)
0.581474 + 0.813565i \(0.302476\pi\)
\(678\) −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 −0.210198 0.977659i \(-0.567411\pi\)
−0.489030 + 0.872267i \(0.662649\pi\)
\(684\) −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 −0.989640 0.143571i \(-0.954142\pi\)
0.0692135 + 0.997602i \(0.477951\pi\)
\(692\) −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 0.952393 + 0.304873i \(0.0986141\pi\)
−0.490787 + 0.871280i \(0.663291\pi\)
\(702\) 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 −0.947721 0.319099i \(-0.896620\pi\)
0.715415 0.698699i \(-0.246237\pi\)
\(710\) 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 0.305042 0.952339i \(-0.401329\pi\)
0.788509 + 0.615023i \(0.210853\pi\)
\(720\) 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 −0.269113 0.963109i \(-0.586730\pi\)
−0.920778 + 0.390088i \(0.872445\pi\)
\(728\) −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 −0.998938 0.0460830i \(-0.985326\pi\)
0.920006 + 0.391903i \(0.128183\pi\)
\(734\) −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 −0.815647 0.578550i \(-0.803619\pi\)
0.745543 + 0.666457i \(0.232190\pi\)
\(740\) 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 −0.435645 0.900118i \(-0.643480\pi\)
0.147108 + 0.989120i \(0.453004\pi\)
\(744\) −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 0.514522 0.857477i \(-0.327970\pi\)
−0.610227 + 0.792226i \(0.708922\pi\)
\(752\) 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 0.0203124 0.999794i \(-0.493534\pi\)
0.314104 + 0.949388i \(0.398296\pi\)