Properties

Label 43.4.g.a.24.10
Level 43
Weight 4
Character 43.24
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 24.10
Character \(\chi\) \(=\) 43.24
Dual form 43.4.g.a.9.10

$q$-expansion

\(f(q)\) \(=\) \(q+(3.27326 - 4.10454i) q^{2} +(-9.59032 + 1.44551i) q^{3} +(-4.35283 - 19.0710i) q^{4} +(4.62627 - 3.15414i) q^{5} +(-25.4585 + 44.0953i) q^{6} +(0.410104 + 0.710321i) q^{7} +(-54.6855 - 26.3351i) q^{8} +(64.0843 - 19.7674i) q^{9} +O(q^{10})\) \(q+(3.27326 - 4.10454i) q^{2} +(-9.59032 + 1.44551i) q^{3} +(-4.35283 - 19.0710i) q^{4} +(4.62627 - 3.15414i) q^{5} +(-25.4585 + 44.0953i) q^{6} +(0.410104 + 0.710321i) q^{7} +(-54.6855 - 26.3351i) q^{8} +(64.0843 - 19.7674i) q^{9} +(2.19671 - 29.3130i) q^{10} +(10.7845 - 47.2502i) q^{11} +(69.3123 + 176.605i) q^{12} +(0.341528 + 4.55738i) q^{13} +(4.25791 + 0.641777i) q^{14} +(-39.8081 + 36.9365i) q^{15} +(-146.099 + 70.3577i) q^{16} +(89.5805 + 61.0749i) q^{17} +(128.629 - 327.740i) q^{18} +(-23.1028 - 7.12628i) q^{19} +(-80.2899 - 74.4981i) q^{20} +(-4.95980 - 6.21940i) q^{21} +(-158.639 - 198.927i) q^{22} +(0.872249 + 0.809328i) q^{23} +(562.519 + 173.514i) q^{24} +(-34.2138 + 87.1754i) q^{25} +(19.8238 + 13.5157i) q^{26} +(-350.084 + 168.592i) q^{27} +(11.7614 - 10.9130i) q^{28} +(31.9017 + 4.80840i) q^{29} +(21.3051 + 284.297i) q^{30} +(-21.6187 - 55.0835i) q^{31} +(-81.3852 + 356.572i) q^{32} +(-35.1267 + 468.733i) q^{33} +(543.904 - 167.772i) q^{34} +(4.13770 + 1.99261i) q^{35} +(-655.931 - 1136.11i) q^{36} +(176.750 - 306.141i) q^{37} +(-104.872 + 71.5003i) q^{38} +(-9.86309 - 43.2130i) q^{39} +(-336.055 + 50.6521i) q^{40} +(-39.1724 + 49.1207i) q^{41} -41.7624 q^{42} +(94.5222 + 265.655i) q^{43} -948.050 q^{44} +(234.122 - 293.580i) q^{45} +(6.17701 - 0.931035i) q^{46} +(47.4520 + 207.901i) q^{47} +(1299.44 - 885.940i) q^{48} +(171.164 - 296.464i) q^{49} +(245.824 + 425.779i) q^{50} +(-947.390 - 456.239i) q^{51} +(85.4270 - 26.3507i) q^{52} +(-8.92140 + 119.048i) q^{53} +(-453.926 + 1988.78i) q^{54} +(-99.1414 - 252.608i) q^{55} +(-3.72033 - 49.6443i) q^{56} +(231.865 + 34.9480i) q^{57} +(124.159 - 115.202i) q^{58} +(330.827 - 159.318i) q^{59} +(877.694 + 598.401i) q^{60} +(13.4518 - 34.2748i) q^{61} +(-296.856 - 91.5678i) q^{62} +(40.3224 + 37.4137i) q^{63} +(388.337 + 486.959i) q^{64} +(15.9546 + 20.0064i) q^{65} +(1808.95 + 1678.46i) q^{66} +(165.868 + 51.1636i) q^{67} +(774.830 - 1974.24i) q^{68} +(-9.53504 - 6.50088i) q^{69} +(21.7225 - 10.4610i) q^{70} +(-673.139 + 624.582i) q^{71} +(-4025.06 - 606.680i) q^{72} +(2.53006 + 33.7613i) q^{73} +(-678.015 - 1727.56i) q^{74} +(202.109 - 885.497i) q^{75} +(-35.3425 + 471.613i) q^{76} +(37.9855 - 11.7170i) q^{77} +(-209.654 - 100.964i) q^{78} +(306.356 + 530.624i) q^{79} +(-453.977 + 786.311i) q^{80} +(1617.63 - 1102.88i) q^{81} +(73.3960 + 321.569i) q^{82} +(411.376 - 62.0050i) q^{83} +(-97.0208 + 121.660i) q^{84} +607.063 q^{85} +(1399.79 + 481.588i) q^{86} -312.898 q^{87} +(-1834.10 + 2299.88i) q^{88} +(-911.653 + 137.410i) q^{89} +(-438.667 - 1921.93i) q^{90} +(-3.09714 + 2.11159i) q^{91} +(11.6379 - 20.1575i) q^{92} +(286.954 + 497.018i) q^{93} +(1008.66 + 485.745i) q^{94} +(-129.357 + 39.9015i) q^{95} +(265.083 - 3537.28i) q^{96} +(-96.1171 + 421.116i) q^{97} +(-656.585 - 1672.95i) q^{98} +(-242.893 - 3241.18i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.27326 4.10454i 1.15727 1.45117i 0.287457 0.957794i \(-0.407190\pi\)
0.869815 0.493379i \(-0.164238\pi\)
\(3\) −9.59032 + 1.44551i −1.84566 + 0.278188i −0.976368 0.216114i \(-0.930662\pi\)
−0.869290 + 0.494302i \(0.835424\pi\)
\(4\) −4.35283 19.0710i −0.544103 2.38387i
\(5\) 4.62627 3.15414i 0.413786 0.282115i −0.338480 0.940973i \(-0.609913\pi\)
0.752267 + 0.658859i \(0.228960\pi\)
\(6\) −25.4585 + 44.0953i −1.73223 + 3.00031i
\(7\) 0.410104 + 0.710321i 0.0221435 + 0.0383537i 0.876885 0.480701i \(-0.159618\pi\)
−0.854741 + 0.519054i \(0.826284\pi\)
\(8\) −54.6855 26.3351i −2.41678 1.16386i
\(9\) 64.0843 19.7674i 2.37349 0.732126i
\(10\) 2.19671 29.3130i 0.0694660 0.926959i
\(11\) 10.7845 47.2502i 0.295606 1.29513i −0.580992 0.813909i \(-0.697335\pi\)
0.876598 0.481224i \(-0.159808\pi\)
\(12\) 69.3123 + 176.605i 1.66739 + 4.24845i
\(13\) 0.341528 + 4.55738i 0.00728637 + 0.0972299i 0.999661 0.0260263i \(-0.00828536\pi\)
−0.992375 + 0.123256i \(0.960666\pi\)
\(14\) 4.25791 + 0.641777i 0.0812839 + 0.0122516i
\(15\) −39.8081 + 36.9365i −0.685227 + 0.635798i
\(16\) −146.099 + 70.3577i −2.28280 + 1.09934i
\(17\) 89.5805 + 61.0749i 1.27803 + 0.871344i 0.996112 0.0880955i \(-0.0280781\pi\)
0.281915 + 0.959439i \(0.409030\pi\)
\(18\) 128.629 327.740i 1.68434 4.29162i
\(19\) −23.1028 7.12628i −0.278956 0.0860464i 0.152121 0.988362i \(-0.451390\pi\)
−0.431076 + 0.902316i \(0.641866\pi\)
\(20\) −80.2899 74.4981i −0.897668 0.832914i
\(21\) −4.95980 6.21940i −0.0515389 0.0646278i
\(22\) −158.639 198.927i −1.53736 1.92779i
\(23\) 0.872249 + 0.809328i 0.00790767 + 0.00733725i 0.684117 0.729373i \(-0.260188\pi\)
−0.676209 + 0.736710i \(0.736378\pi\)
\(24\) 562.519 + 173.514i 4.78432 + 1.47577i
\(25\) −34.2138 + 87.1754i −0.273711 + 0.697403i
\(26\) 19.8238 + 13.5157i 0.149530 + 0.101948i
\(27\) −350.084 + 168.592i −2.49533 + 1.20169i
\(28\) 11.7614 10.9130i 0.0793820 0.0736557i
\(29\) 31.9017 + 4.80840i 0.204275 + 0.0307896i 0.250383 0.968147i \(-0.419444\pi\)
−0.0461073 + 0.998936i \(0.514682\pi\)
\(30\) 21.3051 + 284.297i 0.129659 + 1.73017i
\(31\) −21.6187 55.0835i −0.125253 0.319138i 0.854469 0.519502i \(-0.173883\pi\)
−0.979721 + 0.200364i \(0.935787\pi\)
\(32\) −81.3852 + 356.572i −0.449594 + 1.96980i
\(33\) −35.1267 + 468.733i −0.185296 + 2.47261i
\(34\) 543.904 167.772i 2.74349 0.846256i
\(35\) 4.13770 + 1.99261i 0.0199828 + 0.00962323i
\(36\) −655.931 1136.11i −3.03672 5.25975i
\(37\) 176.750 306.141i 0.785340 1.36025i −0.143456 0.989657i \(-0.545821\pi\)
0.928796 0.370592i \(-0.120845\pi\)
\(38\) −104.872 + 71.5003i −0.447695 + 0.305234i
\(39\) −9.86309 43.2130i −0.0404964 0.177426i
\(40\) −336.055 + 50.6521i −1.32837 + 0.200220i
\(41\) −39.1724 + 49.1207i −0.149212 + 0.187106i −0.850820 0.525457i \(-0.823894\pi\)
0.701608 + 0.712563i \(0.252466\pi\)
\(42\) −41.7624 −0.153431
\(43\) 94.5222 + 265.655i 0.335221 + 0.942140i
\(44\) −948.050 −3.24827
\(45\) 234.122 293.580i 0.775576 0.972541i
\(46\) 6.17701 0.931035i 0.0197989 0.00298421i
\(47\) 47.4520 + 207.901i 0.147268 + 0.645223i 0.993637 + 0.112627i \(0.0359264\pi\)
−0.846370 + 0.532596i \(0.821216\pi\)
\(48\) 1299.44 885.940i 3.90745 2.66405i
\(49\) 171.164 296.464i 0.499019 0.864327i
\(50\) 245.824 + 425.779i 0.695295 + 1.20429i
\(51\) −947.390 456.239i −2.60120 1.25267i
\(52\) 85.4270 26.3507i 0.227819 0.0702729i
\(53\) −8.92140 + 119.048i −0.0231217 + 0.308537i 0.973638 + 0.228099i \(0.0732510\pi\)
−0.996760 + 0.0804381i \(0.974368\pi\)
\(54\) −453.926 + 1988.78i −1.14392 + 5.01182i
\(55\) −99.1414 252.608i −0.243059 0.619303i
\(56\) −3.72033 49.6443i −0.00887768 0.118464i
\(57\) 231.865 + 34.9480i 0.538794 + 0.0812101i
\(58\) 124.159 115.202i 0.281083 0.260807i
\(59\) 330.827 159.318i 0.730001 0.351550i −0.0316837 0.999498i \(-0.510087\pi\)
0.761684 + 0.647948i \(0.224373\pi\)
\(60\) 877.694 + 598.401i 1.88850 + 1.28755i
\(61\) 13.4518 34.2748i 0.0282350 0.0719415i −0.916061 0.401039i \(-0.868649\pi\)
0.944296 + 0.329097i \(0.106744\pi\)
\(62\) −296.856 91.5678i −0.608076 0.187566i
\(63\) 40.3224 + 37.4137i 0.0806372 + 0.0748204i
\(64\) 388.337 + 486.959i 0.758471 + 0.951093i
\(65\) 15.9546 + 20.0064i 0.0304450 + 0.0381768i
\(66\) 1808.95 + 1678.46i 3.37374 + 3.13037i
\(67\) 165.868 + 51.1636i 0.302448 + 0.0932930i 0.442265 0.896884i \(-0.354175\pi\)
−0.139817 + 0.990177i \(0.544651\pi\)
\(68\) 774.830 1974.24i 1.38179 3.52075i
\(69\) −9.53504 6.50088i −0.0166360 0.0113422i
\(70\) 21.7225 10.4610i 0.0370905 0.0178619i
\(71\) −673.139 + 624.582i −1.12517 + 1.04400i −0.126523 + 0.991964i \(0.540382\pi\)
−0.998645 + 0.0520394i \(0.983428\pi\)
\(72\) −4025.06 606.680i −6.58830 0.993026i
\(73\) 2.53006 + 33.7613i 0.00405645 + 0.0541296i 0.998865 0.0476378i \(-0.0151693\pi\)
−0.994808 + 0.101767i \(0.967550\pi\)
\(74\) −678.015 1727.56i −1.06510 2.71384i
\(75\) 202.109 885.497i 0.311167 1.36331i
\(76\) −35.3425 + 471.613i −0.0533430 + 0.711812i
\(77\) 37.9855 11.7170i 0.0562189 0.0173412i
\(78\) −209.654 100.964i −0.304341 0.146563i
\(79\) 306.356 + 530.624i 0.436301 + 0.755695i 0.997401 0.0720530i \(-0.0229551\pi\)
−0.561100 + 0.827748i \(0.689622\pi\)
\(80\) −453.977 + 786.311i −0.634452 + 1.09890i
\(81\) 1617.63 1102.88i 2.21898 1.51287i
\(82\) 73.3960 + 321.569i 0.0988444 + 0.433065i
\(83\) 411.376 62.0050i 0.544029 0.0819992i 0.128723 0.991681i \(-0.458912\pi\)
0.415307 + 0.909681i \(0.363674\pi\)
\(84\) −97.0208 + 121.660i −0.126022 + 0.158026i
\(85\) 607.063 0.774649
\(86\) 1399.79 + 481.588i 1.75515 + 0.603848i
\(87\) −312.898 −0.385588
\(88\) −1834.10 + 2299.88i −2.22177 + 2.78601i
\(89\) −911.653 + 137.410i −1.08579 + 0.163656i −0.667464 0.744642i \(-0.732620\pi\)
−0.418323 + 0.908298i \(0.637382\pi\)
\(90\) −438.667 1921.93i −0.513773 2.25099i
\(91\) −3.09714 + 2.11159i −0.00356778 + 0.00243247i
\(92\) 11.6379 20.1575i 0.0131885 0.0228431i
\(93\) 286.954 + 497.018i 0.319954 + 0.554176i
\(94\) 1008.66 + 485.745i 1.10676 + 0.532987i
\(95\) −129.357 + 39.9015i −0.139703 + 0.0430927i
\(96\) 265.083 3537.28i 0.281822 3.76065i
\(97\) −96.1171 + 421.116i −0.100610 + 0.440803i 0.899383 + 0.437162i \(0.144016\pi\)
−0.999993 + 0.00364139i \(0.998841\pi\)
\(98\) −656.585 1672.95i −0.676786 1.72442i
\(99\) −242.893 3241.18i −0.246582 3.29041i
\(100\) 1811.45 + 273.032i 1.81145 + 0.273032i
\(101\) −581.719 + 539.756i −0.573101 + 0.531760i −0.912604 0.408845i \(-0.865932\pi\)
0.339503 + 0.940605i \(0.389741\pi\)
\(102\) −4973.70 + 2395.21i −4.82813 + 2.32511i
\(103\) 1219.45 + 831.404i 1.16656 + 0.795346i 0.982260 0.187524i \(-0.0600462\pi\)
0.184299 + 0.982870i \(0.440999\pi\)
\(104\) 101.342 258.216i 0.0955524 0.243463i
\(105\) −42.5622 13.1287i −0.0395586 0.0122022i
\(106\) 459.434 + 426.292i 0.420983 + 0.390615i
\(107\) 327.294 + 410.413i 0.295707 + 0.370805i 0.907384 0.420303i \(-0.138076\pi\)
−0.611677 + 0.791108i \(0.709505\pi\)
\(108\) 4739.07 + 5942.60i 4.22238 + 5.29470i
\(109\) −1415.77 1313.64i −1.24409 1.15435i −0.981913 0.189332i \(-0.939368\pi\)
−0.262181 0.965019i \(-0.584442\pi\)
\(110\) −1361.35 419.922i −1.18000 0.363982i
\(111\) −1252.56 + 3191.48i −1.07106 + 2.72903i
\(112\) −109.892 74.9233i −0.0927129 0.0632106i
\(113\) −1048.08 + 504.727i −0.872520 + 0.420183i −0.815887 0.578212i \(-0.803751\pi\)
−0.0566329 + 0.998395i \(0.518036\pi\)
\(114\) 902.398 837.303i 0.741380 0.687900i
\(115\) 6.58800 + 0.992981i 0.00534203 + 0.000805182i
\(116\) −47.1615 629.326i −0.0377485 0.503719i
\(117\) 111.974 + 285.305i 0.0884787 + 0.225440i
\(118\) 428.956 1879.38i 0.334650 1.46620i
\(119\) −6.64549 + 88.6779i −0.00511925 + 0.0683117i
\(120\) 3149.65 971.539i 2.39602 0.739075i
\(121\) −917.082 441.644i −0.689018 0.331813i
\(122\) −96.6506 167.404i −0.0717240 0.124230i
\(123\) 304.672 527.707i 0.223344 0.386843i
\(124\) −956.393 + 652.058i −0.692634 + 0.472230i
\(125\) 272.423 + 1193.56i 0.194930 + 0.854045i
\(126\) 285.552 43.0400i 0.201896 0.0304310i
\(127\) 1123.36 1408.64i 0.784896 0.984228i −0.215075 0.976597i \(-0.569000\pi\)
0.999971 0.00763053i \(-0.00242890\pi\)
\(128\) 343.935 0.237499
\(129\) −1290.50 2411.08i −0.880795 1.64561i
\(130\) 134.341 0.0906343
\(131\) −418.267 + 524.490i −0.278963 + 0.349809i −0.901498 0.432784i \(-0.857531\pi\)
0.622535 + 0.782592i \(0.286103\pi\)
\(132\) 9092.11 1370.41i 5.99520 0.903631i
\(133\) −4.41262 19.3329i −0.00287686 0.0126043i
\(134\) 752.932 513.341i 0.485399 0.330939i
\(135\) −1087.82 + 1884.17i −0.693519 + 1.20121i
\(136\) −3290.33 5699.02i −2.07459 3.59329i
\(137\) 1384.73 + 666.852i 0.863545 + 0.415861i 0.812587 0.582840i \(-0.198058\pi\)
0.0509575 + 0.998701i \(0.483773\pi\)
\(138\) −57.8937 + 17.8578i −0.0357119 + 0.0110157i
\(139\) 126.834 1692.48i 0.0773952 1.03277i −0.814393 0.580314i \(-0.802930\pi\)
0.891788 0.452453i \(-0.149451\pi\)
\(140\) 19.9904 87.5835i 0.0120678 0.0528726i
\(141\) −755.603 1925.24i −0.451299 1.14989i
\(142\) 360.260 + 4807.34i 0.212904 + 2.84101i
\(143\) 219.020 + 33.0120i 0.128080 + 0.0193049i
\(144\) −7971.88 + 7396.82i −4.61336 + 4.28057i
\(145\) 162.752 78.3773i 0.0932126 0.0448888i
\(146\) 146.856 + 100.125i 0.0832458 + 0.0567560i
\(147\) −1212.97 + 3090.60i −0.680574 + 1.73407i
\(148\) −6607.76 2038.23i −3.66997 1.13203i
\(149\) 2142.81 + 1988.24i 1.17816 + 1.09317i 0.993899 + 0.110297i \(0.0351801\pi\)
0.184262 + 0.982877i \(0.441010\pi\)
\(150\) −2973.00 3728.02i −1.61829 2.02928i
\(151\) −907.620 1138.12i −0.489146 0.613370i 0.474596 0.880203i \(-0.342594\pi\)
−0.963743 + 0.266834i \(0.914023\pi\)
\(152\) 1075.72 + 998.120i 0.574028 + 0.532620i
\(153\) 6948.00 + 2143.17i 3.67132 + 1.13245i
\(154\) 76.2437 194.266i 0.0398954 0.101652i
\(155\) −273.755 186.643i −0.141861 0.0967195i
\(156\) −781.182 + 376.198i −0.400927 + 0.193076i
\(157\) −922.806 + 856.239i −0.469095 + 0.435257i −0.878964 0.476888i \(-0.841765\pi\)
0.409869 + 0.912144i \(0.365574\pi\)
\(158\) 3180.75 + 479.421i 1.60156 + 0.241397i
\(159\) −86.5255 1154.60i −0.0431567 0.575886i
\(160\) 748.168 + 1906.30i 0.369674 + 0.941914i
\(161\) −0.217170 + 0.951485i −0.000106307 + 0.000465761i
\(162\) 768.106 10249.7i 0.372519 4.97092i
\(163\) −2597.21 + 801.134i −1.24803 + 0.384967i −0.847244 0.531203i \(-0.821740\pi\)
−0.400789 + 0.916171i \(0.631264\pi\)
\(164\) 1107.29 + 533.243i 0.527224 + 0.253898i
\(165\) 1315.95 + 2279.28i 0.620886 + 1.07541i
\(166\) 1092.04 1891.47i 0.510594 0.884376i
\(167\) −3201.92 + 2183.03i −1.48366 + 1.01154i −0.493791 + 0.869581i \(0.664389\pi\)
−0.989872 + 0.141963i \(0.954658\pi\)
\(168\) 107.440 + 470.727i 0.0493406 + 0.216175i
\(169\) 2151.81 324.333i 0.979430 0.147625i
\(170\) 1987.07 2491.71i 0.896479 1.12415i
\(171\) −1621.40 −0.725096
\(172\) 4654.86 2958.98i 2.06355 1.31174i
\(173\) −3701.24 −1.62659 −0.813296 0.581851i \(-0.802329\pi\)
−0.813296 + 0.581851i \(0.802329\pi\)
\(174\) −1024.19 + 1284.30i −0.446230 + 0.559555i
\(175\) −75.9537 + 11.4482i −0.0328089 + 0.00494515i
\(176\) 1748.80 + 7661.99i 0.748981 + 3.28150i
\(177\) −2942.44 + 2006.12i −1.24953 + 0.851919i
\(178\) −2420.07 + 4191.69i −1.01906 + 1.76506i
\(179\) −893.739 1548.00i −0.373191 0.646386i 0.616863 0.787070i \(-0.288403\pi\)
−0.990055 + 0.140684i \(0.955070\pi\)
\(180\) −6617.96 3187.04i −2.74041 1.31971i
\(181\) 3557.31 1097.28i 1.46084 0.450611i 0.540374 0.841425i \(-0.318283\pi\)
0.920469 + 0.390814i \(0.127807\pi\)
\(182\) −1.47062 + 19.6241i −0.000598955 + 0.00799250i
\(183\) −79.4631 + 348.151i −0.0320988 + 0.140634i
\(184\) −26.3855 67.2293i −0.0105716 0.0269359i
\(185\) −147.915 1973.79i −0.0587833 0.784409i
\(186\) 2979.30 + 449.058i 1.17448 + 0.177024i
\(187\) 3851.89 3574.03i 1.50630 1.39764i
\(188\) 3758.32 1809.91i 1.45800 0.702135i
\(189\) −263.325 179.532i −0.101344 0.0690954i
\(190\) −259.643 + 661.559i −0.0991394 + 0.252603i
\(191\) 4050.47 + 1249.40i 1.53446 + 0.473318i 0.942937 0.332971i \(-0.108051\pi\)
0.591522 + 0.806289i \(0.298527\pi\)
\(192\) −4428.18 4108.75i −1.66446 1.54439i
\(193\) 1301.76 + 1632.35i 0.485506 + 0.608805i 0.962891 0.269889i \(-0.0869870\pi\)
−0.477386 + 0.878694i \(0.658416\pi\)
\(194\) 1413.87 + 1772.94i 0.523248 + 0.656132i
\(195\) −181.929 168.806i −0.0668114 0.0619919i
\(196\) −6398.91 1973.80i −2.33196 0.719315i
\(197\) 1032.30 2630.27i 0.373343 0.951264i −0.613516 0.789682i \(-0.710245\pi\)
0.986859 0.161581i \(-0.0516594\pi\)
\(198\) −14098.6 9612.25i −5.06031 3.45006i
\(199\) −40.2121 + 19.3651i −0.0143244 + 0.00689828i −0.441032 0.897491i \(-0.645388\pi\)
0.426708 + 0.904390i \(0.359673\pi\)
\(200\) 4166.77 3866.20i 1.47318 1.36691i
\(201\) −1664.69 250.911i −0.584169 0.0880494i
\(202\) 311.333 + 4154.44i 0.108442 + 1.44706i
\(203\) 9.66748 + 24.6323i 0.00334248 + 0.00851651i
\(204\) −4577.10 + 20053.6i −1.57089 + 6.88251i
\(205\) −26.2889 + 350.801i −0.00895656 + 0.119517i
\(206\) 7404.09 2283.86i 2.50421 0.772446i
\(207\) 71.8958 + 34.6232i 0.0241406 + 0.0116255i
\(208\) −370.543 641.800i −0.123522 0.213946i
\(209\) −585.872 + 1014.76i −0.193902 + 0.335849i
\(210\) −193.204 + 131.725i −0.0634875 + 0.0432850i
\(211\) −910.148 3987.62i −0.296954 1.30104i −0.874637 0.484778i \(-0.838900\pi\)
0.577684 0.816261i \(-0.303957\pi\)
\(212\) 2309.19 348.054i 0.748094 0.112757i
\(213\) 5552.78 6962.97i 1.78625 2.23988i
\(214\) 2755.87 0.880315
\(215\) 1275.20 + 930.856i 0.404501 + 0.295274i
\(216\) 23584.4 7.42924
\(217\) 30.2610 37.9461i 0.00946660 0.0118707i
\(218\) −10026.1 + 1511.19i −3.11492 + 0.469498i
\(219\) −73.0663 320.125i −0.0225450 0.0987763i
\(220\) −4385.94 + 2990.28i −1.34409 + 0.916385i
\(221\) −247.747 + 429.111i −0.0754085 + 0.130611i
\(222\) 8999.58 + 15587.7i 2.72078 + 4.71252i
\(223\) 1297.00 + 624.602i 0.389478 + 0.187563i 0.618366 0.785890i \(-0.287795\pi\)
−0.228888 + 0.973453i \(0.573509\pi\)
\(224\) −286.657 + 88.4219i −0.0855048 + 0.0263747i
\(225\) −469.339 + 6262.89i −0.139063 + 1.85567i
\(226\) −1358.95 + 5953.97i −0.399984 + 1.75244i
\(227\) −1233.44 3142.75i −0.360644 0.918905i −0.989908 0.141714i \(-0.954739\pi\)
0.629264 0.777192i \(-0.283356\pi\)
\(228\) −342.775 4574.01i −0.0995649 1.32860i
\(229\) −3820.26 575.812i −1.10240 0.166160i −0.427462 0.904033i \(-0.640592\pi\)
−0.674940 + 0.737873i \(0.735830\pi\)
\(230\) 25.6399 23.7904i 0.00735064 0.00682040i
\(231\) −347.357 + 167.278i −0.0989368 + 0.0476454i
\(232\) −1617.93 1103.08i −0.457854 0.312159i
\(233\) 519.358 1323.30i 0.146027 0.372071i −0.839081 0.544006i \(-0.816907\pi\)
0.985108 + 0.171935i \(0.0550020\pi\)
\(234\) 1537.57 + 474.276i 0.429546 + 0.132497i
\(235\) 875.274 + 812.136i 0.242964 + 0.225438i
\(236\) −4478.38 5615.72i −1.23525 1.54895i
\(237\) −3705.08 4646.02i −1.01549 1.27338i
\(238\) 342.229 + 317.542i 0.0932077 + 0.0864841i
\(239\) 4193.78 + 1293.61i 1.13503 + 0.350111i 0.804658 0.593738i \(-0.202349\pi\)
0.330375 + 0.943850i \(0.392825\pi\)
\(240\) 3217.17 8197.20i 0.865280 2.20470i
\(241\) −1675.54 1142.37i −0.447847 0.305337i 0.318314 0.947985i \(-0.396883\pi\)
−0.766161 + 0.642648i \(0.777836\pi\)
\(242\) −4814.59 + 2318.58i −1.27890 + 0.615885i
\(243\) −6228.77 + 5779.46i −1.64435 + 1.52573i
\(244\) −712.207 107.348i −0.186862 0.0281649i
\(245\) −143.239 1911.40i −0.0373520 0.498427i
\(246\) −1168.72 2977.86i −0.302907 0.771793i
\(247\) 24.5869 107.722i 0.00633371 0.0277498i
\(248\) −268.403 + 3581.60i −0.0687243 + 0.917063i
\(249\) −3855.60 + 1189.30i −0.981281 + 0.302685i
\(250\) 5790.74 + 2788.67i 1.46495 + 0.705484i
\(251\) 1340.03 + 2321.01i 0.336981 + 0.583668i 0.983863 0.178922i \(-0.0572609\pi\)
−0.646882 + 0.762590i \(0.723928\pi\)
\(252\) 538.000 931.843i 0.134487 0.232939i
\(253\) 47.6477 32.4857i 0.0118403 0.00807255i
\(254\) −2104.80 9221.71i −0.519947 2.27804i
\(255\) −5821.93 + 877.514i −1.42974 + 0.215498i
\(256\) −1980.91 + 2483.98i −0.483621 + 0.606441i
\(257\) −5500.90 −1.33516 −0.667581 0.744537i \(-0.732670\pi\)
−0.667581 + 0.744537i \(0.732670\pi\)
\(258\) −14120.5 2595.18i −3.40739 0.626235i
\(259\) 289.944 0.0695608
\(260\) 312.095 391.354i 0.0744434 0.0933491i
\(261\) 2139.45 322.470i 0.507388 0.0764765i
\(262\) 783.693 + 3433.58i 0.184797 + 0.809647i
\(263\) −696.392 + 474.792i −0.163275 + 0.111319i −0.642201 0.766536i \(-0.721979\pi\)
0.478926 + 0.877855i \(0.341026\pi\)
\(264\) 14265.1 24707.8i 3.32559 5.76008i
\(265\) 334.220 + 578.887i 0.0774755 + 0.134191i
\(266\) −93.7964 45.1699i −0.0216204 0.0104118i
\(267\) 8544.42 2635.60i 1.95846 0.604106i
\(268\) 253.744 3385.98i 0.0578354 0.771759i
\(269\) 537.609 2355.42i 0.121854 0.533875i −0.876745 0.480955i \(-0.840290\pi\)
0.998599 0.0529202i \(-0.0168529\pi\)
\(270\) 4172.90 + 10632.4i 0.940573 + 2.39654i
\(271\) −322.482 4303.23i −0.0722857 0.964585i −0.908960 0.416884i \(-0.863122\pi\)
0.836674 0.547701i \(-0.184497\pi\)
\(272\) −17384.7 2620.33i −3.87538 0.584120i
\(273\) 26.6502 24.7278i 0.00590822 0.00548203i
\(274\) 7269.70 3500.90i 1.60284 0.771888i
\(275\) 3750.07 + 2556.76i 0.822319 + 0.560648i
\(276\) −82.4737 + 210.140i −0.0179867 + 0.0458294i
\(277\) −6090.59 1878.70i −1.32111 0.407509i −0.447567 0.894251i \(-0.647709\pi\)
−0.873546 + 0.486741i \(0.838185\pi\)
\(278\) −6531.70 6060.53i −1.40916 1.30751i
\(279\) −2474.27 3102.64i −0.530935 0.665772i
\(280\) −173.796 217.934i −0.0370940 0.0465144i
\(281\) 4867.24 + 4516.14i 1.03329 + 0.958755i 0.999173 0.0406624i \(-0.0129468\pi\)
0.0341196 + 0.999418i \(0.489137\pi\)
\(282\) −10375.5 3200.42i −2.19097 0.675824i
\(283\) −743.685 + 1894.88i −0.156210 + 0.398017i −0.987457 0.157886i \(-0.949532\pi\)
0.831247 + 0.555903i \(0.187627\pi\)
\(284\) 14841.4 + 10118.7i 3.10098 + 2.11421i
\(285\) 1182.90 569.655i 0.245856 0.118398i
\(286\) 852.408 790.919i 0.176237 0.163524i
\(287\) −50.9562 7.68041i −0.0104803 0.00157965i
\(288\) 1832.98 + 24459.4i 0.375033 + 5.00447i
\(289\) 2499.59 + 6368.86i 0.508771 + 1.29633i
\(290\) 211.027 924.571i 0.0427309 0.187216i
\(291\) 313.066 4177.58i 0.0630662 0.841560i
\(292\) 632.848 195.208i 0.126831 0.0391222i
\(293\) 2954.44 + 1422.78i 0.589080 + 0.283686i 0.704583 0.709621i \(-0.251134\pi\)
−0.115504 + 0.993307i \(0.536848\pi\)
\(294\) 8715.12 + 15095.0i 1.72883 + 2.99442i
\(295\) 1027.99 1780.52i 0.202887 0.351411i
\(296\) −17727.9 + 12086.7i −3.48113 + 2.37340i
\(297\) 4190.49 + 18359.7i 0.818710 + 3.58700i
\(298\) 15174.8 2287.23i 2.94984 0.444616i
\(299\) −3.39052 + 4.25157i −0.000655781 + 0.000822324i
\(300\) −17767.0 −3.41927
\(301\) −149.936 + 176.087i −0.0287116 + 0.0337193i
\(302\) −7642.33 −1.45618
\(303\) 4798.65 6017.31i 0.909819 1.14088i
\(304\) 3876.69 584.318i 0.731394 0.110240i
\(305\) −45.8754 200.993i −0.00861252 0.0377339i
\(306\) 31539.3 21503.1i 5.89210 4.01717i
\(307\) −2858.03 + 4950.25i −0.531324 + 0.920280i 0.468008 + 0.883724i \(0.344972\pi\)
−0.999332 + 0.0365556i \(0.988361\pi\)
\(308\) −388.799 673.419i −0.0719282 0.124583i
\(309\) −12896.7 6210.71i −2.37433 1.14341i
\(310\) −1662.15 + 512.706i −0.304529 + 0.0939347i
\(311\) 394.763 5267.75i 0.0719774 0.960472i −0.837961 0.545730i \(-0.816253\pi\)
0.909939 0.414743i \(-0.136128\pi\)
\(312\) −598.653 + 2622.87i −0.108628 + 0.475932i
\(313\) −490.750 1250.41i −0.0886224 0.225806i 0.879690 0.475547i \(-0.157750\pi\)
−0.968313 + 0.249741i \(0.919655\pi\)
\(314\) 493.881 + 6590.38i 0.0887621 + 1.18445i
\(315\) 304.551 + 45.9036i 0.0544746 + 0.00821072i
\(316\) 8786.01 8152.23i 1.56409 1.45126i
\(317\) −1719.03 + 827.844i −0.304576 + 0.146676i −0.579929 0.814667i \(-0.696920\pi\)
0.275353 + 0.961343i \(0.411205\pi\)
\(318\) −5022.33 3424.16i −0.885654 0.603829i
\(319\) 571.242 1455.50i 0.100262 0.255462i
\(320\) 3332.49 + 1027.94i 0.582162 + 0.179573i
\(321\) −3732.11 3462.89i −0.648928 0.602117i
\(322\) 3.19455 + 4.00584i 0.000552873 + 0.000693281i
\(323\) −1634.33 2049.38i −0.281537 0.353036i
\(324\) −28074.3 26049.2i −4.81385 4.46660i
\(325\) −408.976 126.152i −0.0698028 0.0215313i
\(326\) −5213.06 + 13282.7i −0.885659 + 2.25662i
\(327\) 15476.6 + 10551.8i 2.61730 + 1.78444i
\(328\) 3435.76 1654.57i 0.578378 0.278532i
\(329\) −128.216 + 118.967i −0.0214857 + 0.0199358i
\(330\) 13662.8 + 2059.34i 2.27913 + 0.343524i
\(331\) 689.386 + 9199.21i 0.114478 + 1.52760i 0.698353 + 0.715754i \(0.253917\pi\)
−0.583875 + 0.811843i \(0.698464\pi\)
\(332\) −2973.15 7575.45i −0.491484 1.25228i
\(333\) 5275.32 23112.7i 0.868126 3.80351i
\(334\) −1520.37 + 20288.0i −0.249075 + 3.32368i
\(335\) 928.729 286.475i 0.151468 0.0467218i
\(336\) 1162.21 + 559.688i 0.188701 + 0.0908735i
\(337\) −1096.83 1899.77i −0.177295 0.307083i 0.763658 0.645620i \(-0.223401\pi\)
−0.940953 + 0.338537i \(0.890068\pi\)
\(338\) 5712.19 9893.80i 0.919237 1.59216i
\(339\) 9321.80 6355.50i 1.49348 1.01824i
\(340\) −2642.44 11577.3i −0.421489 1.84666i
\(341\) −2835.85 + 427.436i −0.450352 + 0.0678796i
\(342\) −5307.25 + 6655.08i −0.839133 + 1.05224i
\(343\) 562.111 0.0884872
\(344\) 1827.07 17016.7i 0.286363 2.66709i
\(345\) −64.6164 −0.0100836
\(346\) −12115.1 + 15191.9i −1.88241 + 2.36046i
\(347\) 7521.32 1133.66i 1.16359 0.175383i 0.461280 0.887255i \(-0.347390\pi\)
0.702310 + 0.711872i \(0.252152\pi\)
\(348\) 1361.99 + 5967.27i 0.209800 + 0.919193i
\(349\) −9204.00 + 6275.18i −1.41169 + 0.962472i −0.413027 + 0.910719i \(0.635529\pi\)
−0.998660 + 0.0517532i \(0.983519\pi\)
\(350\) −201.627 + 349.227i −0.0307926 + 0.0533343i
\(351\) −887.900 1537.89i −0.135022 0.233864i
\(352\) 15970.4 + 7690.93i 2.41825 + 1.16457i
\(353\) −6398.27 + 1973.60i −0.964718 + 0.297576i −0.736805 0.676105i \(-0.763666\pi\)
−0.227913 + 0.973682i \(0.573190\pi\)
\(354\) −1397.17 + 18643.9i −0.209770 + 2.79919i
\(355\) −1144.11 + 5012.66i −0.171050 + 0.749421i
\(356\) 6588.80 + 16788.0i 0.980915 + 2.49933i
\(357\) −64.4523 860.056i −0.00955512 0.127504i
\(358\) −9279.27 1398.62i −1.36990 0.206479i
\(359\) −1063.34 + 986.636i −0.156326 + 0.145049i −0.754458 0.656348i \(-0.772100\pi\)
0.598132 + 0.801397i \(0.295910\pi\)
\(360\) −20534.6 + 9888.93i −3.00630 + 1.44776i
\(361\) −5184.21 3534.54i −0.755827 0.515314i
\(362\) 7140.14 18192.8i 1.03668 2.64141i
\(363\) 9433.51 + 2909.85i 1.36400 + 0.420738i
\(364\) 53.7514 + 49.8740i 0.00773994 + 0.00718162i
\(365\) 118.193 + 148.209i 0.0169493 + 0.0212537i
\(366\) 1168.89 + 1465.75i 0.166937 + 0.209333i
\(367\) −625.114 580.021i −0.0889119 0.0824982i 0.634465 0.772952i \(-0.281221\pi\)
−0.723377 + 0.690454i \(0.757411\pi\)
\(368\) −184.377 56.8729i −0.0261177 0.00805626i
\(369\) −1539.35 + 3922.20i −0.217169 + 0.553338i
\(370\) −8585.63 5853.59i −1.20634 0.822469i
\(371\) −88.2208 + 42.4849i −0.0123455 + 0.00594530i
\(372\) 8229.56 7635.92i 1.14700 1.06426i
\(373\) −5443.87 820.532i −0.755692 0.113902i −0.240114 0.970745i \(-0.577185\pi\)
−0.515578 + 0.856843i \(0.672423\pi\)
\(374\) −2061.51 27508.9i −0.285021 3.80335i
\(375\) −4337.93 11052.9i −0.597360 1.52205i
\(376\) 2880.16 12618.8i 0.395035 1.73076i
\(377\) −11.0184 + 147.030i −0.00150524 + 0.0200860i
\(378\) −1598.83 + 493.173i −0.217552 + 0.0671060i
\(379\) 1410.29 + 679.161i 0.191140 + 0.0920480i 0.527006 0.849862i \(-0.323315\pi\)
−0.335866 + 0.941910i \(0.609029\pi\)
\(380\) 1324.03 + 2293.29i 0.178740 + 0.309587i
\(381\) −8737.14 + 15133.2i −1.17485 + 2.03490i
\(382\) 18386.5 12535.7i 2.46265 1.67901i
\(383\) 2039.03 + 8933.56i 0.272035 + 1.19186i 0.907607 + 0.419822i \(0.137907\pi\)
−0.635572 + 0.772042i \(0.719236\pi\)
\(384\) −3298.44 + 497.160i −0.438341 + 0.0660693i
\(385\) 138.775 174.018i 0.0183704 0.0230358i
\(386\) 10961.0 1.44534
\(387\) 11308.7 + 15155.9i 1.48541 + 1.99074i
\(388\) 8449.48 1.10556
\(389\) 4297.18 5388.50i 0.560092 0.702333i −0.418483 0.908225i \(-0.637438\pi\)
0.978575 + 0.205892i \(0.0660094\pi\)
\(390\) −1288.37 + 194.191i −0.167280 + 0.0252134i
\(391\) 28.7068 + 125.773i 0.00371295 + 0.0162675i
\(392\) −17167.6 + 11704.7i −2.21197 + 1.50810i
\(393\) 3253.16 5634.64i 0.417558 0.723231i
\(394\) −7417.03 12846.7i −0.948388 1.64266i
\(395\) 3090.95 + 1488.52i 0.393728 + 0.189609i
\(396\) −60755.1 + 18740.5i −7.70975 + 2.37814i
\(397\) −725.238 + 9677.63i −0.0916842 + 1.22344i 0.741694 + 0.670738i \(0.234023\pi\)
−0.833378 + 0.552703i \(0.813596\pi\)
\(398\) −52.1397 + 228.439i −0.00656665 + 0.0287704i
\(399\) 70.2643 + 179.031i 0.00881608 + 0.0224630i
\(400\) −1134.85 15143.5i −0.141856 1.89293i
\(401\) 6856.00 + 1033.38i 0.853796 + 0.128689i 0.561335 0.827588i \(-0.310288\pi\)
0.292461 + 0.956278i \(0.405526\pi\)
\(402\) −6478.83 + 6011.47i −0.803817 + 0.745833i
\(403\) 243.653 117.337i 0.0301171 0.0145036i
\(404\) 12825.8 + 8744.48i 1.57947 + 1.07687i
\(405\) 4004.96 10204.5i 0.491379 1.25201i
\(406\) 132.748 + 40.9475i 0.0162271 + 0.00500539i
\(407\) −12559.0 11653.1i −1.52955 1.41922i
\(408\) 39793.3 + 49899.3i 4.82859 + 6.05486i
\(409\) −2327.96 2919.16i −0.281443 0.352918i 0.620937 0.783861i \(-0.286752\pi\)
−0.902379 + 0.430943i \(0.858181\pi\)
\(410\) 1353.82 + 1256.17i 0.163075 + 0.151311i
\(411\) −14244.0 4393.68i −1.70950 0.527310i
\(412\) 10547.7 26875.0i 1.26128 3.21368i
\(413\) 248.840 + 169.657i 0.0296480 + 0.0202137i
\(414\) 377.445 181.768i 0.0448078 0.0215783i
\(415\) 1707.57 1584.39i 0.201979 0.187409i
\(416\) −1652.83 249.124i −0.194799 0.0293613i
\(417\) 1230.12 + 16414.8i 0.144459 + 1.92767i
\(418\) 2247.41 + 5726.30i 0.262977 + 0.670054i
\(419\) −1646.79 + 7215.04i −0.192006 + 0.841235i 0.783522 + 0.621364i \(0.213421\pi\)
−0.975529 + 0.219872i \(0.929436\pi\)
\(420\) −65.1113 + 868.850i −0.00756454 + 0.100942i
\(421\) 777.312 239.769i 0.0899854 0.0277568i −0.249436 0.968391i \(-0.580245\pi\)
0.339421 + 0.940635i \(0.389769\pi\)
\(422\) −19346.5 9316.77i −2.23169 1.07472i
\(423\) 7150.59 + 12385.2i 0.821923 + 1.42361i
\(424\) 3623.01 6275.24i 0.414974 0.718756i
\(425\) −8389.12 + 5719.61i −0.957487 + 0.652804i
\(426\) −10404.1 45583.2i −1.18328 5.18430i
\(427\) 29.8627 4.50108i 0.00338445 0.000510123i
\(428\) 6402.33 8028.27i 0.723057 0.906684i
\(429\) −2148.19 −0.241761
\(430\) 7994.78 2187.16i 0.896611 0.245289i
\(431\) −6470.90 −0.723184 −0.361592 0.932337i \(-0.617767\pi\)
−0.361592 + 0.932337i \(0.617767\pi\)
\(432\) 39285.3 49262.3i 4.37527 5.48641i
\(433\) −11484.8 + 1731.05i −1.27465 + 0.192122i −0.751280 0.659984i \(-0.770563\pi\)
−0.523369 + 0.852106i \(0.675325\pi\)
\(434\) −56.6991 248.415i −0.00627107 0.0274753i
\(435\) −1447.55 + 986.923i −0.159551 + 0.108780i
\(436\) −18889.9 + 32718.2i −2.07491 + 3.59385i
\(437\) −14.3839 24.9137i −0.00157454 0.00272719i
\(438\) −1553.13 747.947i −0.169432 0.0815942i
\(439\) 7081.36 2184.31i 0.769874 0.237475i 0.115156 0.993347i \(-0.463263\pi\)
0.654719 + 0.755873i \(0.272787\pi\)
\(440\) −1230.88 + 16424.9i −0.133363 + 1.77960i
\(441\) 5108.58 22382.2i 0.551623 2.41682i
\(442\) 950.360 + 2421.48i 0.102271 + 0.260584i
\(443\) 803.304 + 10719.3i 0.0861537 + 1.14964i 0.857937 + 0.513756i \(0.171746\pi\)
−0.771783 + 0.635886i \(0.780635\pi\)
\(444\) 66316.9 + 9995.66i 7.08842 + 1.06841i
\(445\) −3784.15 + 3511.17i −0.403114 + 0.374035i
\(446\) 6809.12 3279.10i 0.722917 0.348139i
\(447\) −23424.3 15970.4i −2.47859 1.68987i
\(448\) −186.639 + 475.548i −0.0196827 + 0.0501507i
\(449\) 2827.17 + 872.065i 0.297154 + 0.0916599i 0.439747 0.898121i \(-0.355068\pi\)
−0.142593 + 0.989781i \(0.545544\pi\)
\(450\) 24170.0 + 22426.5i 2.53197 + 2.34932i
\(451\) 1898.50 + 2380.65i 0.198219 + 0.248559i
\(452\) 14187.7 + 17790.8i 1.47640 + 1.85135i
\(453\) 10349.5 + 9602.96i 1.07343 + 0.995997i
\(454\) −16936.9 5224.34i −1.75085 0.540067i
\(455\) −7.66794 + 19.5376i −0.000790063 + 0.00201305i
\(456\) −11759.3 8017.34i −1.20763 0.823347i
\(457\) 6709.93 3231.33i 0.686821 0.330756i −0.0577195 0.998333i \(-0.518383\pi\)
0.744541 + 0.667577i \(0.232669\pi\)
\(458\) −14868.1 + 13795.6i −1.51691 + 1.40748i
\(459\) −41657.5 6278.85i −4.23617 0.638501i
\(460\) −9.73929 129.962i −0.000987167 0.0131728i
\(461\) 4802.39 + 12236.3i 0.485184 + 1.23623i 0.938624 + 0.344941i \(0.112101\pi\)
−0.453441 + 0.891287i \(0.649804\pi\)
\(462\) −450.389 + 1973.28i −0.0453549 + 0.198713i
\(463\) 620.141 8275.21i 0.0622471 0.830629i −0.875480 0.483255i \(-0.839454\pi\)
0.937727 0.347374i \(-0.112927\pi\)
\(464\) −4999.11 + 1542.02i −0.500168 + 0.154281i
\(465\) 2895.19 + 1394.25i 0.288734 + 0.139047i
\(466\) −3731.55 6463.24i −0.370946 0.642497i
\(467\) 2569.65 4450.77i 0.254624 0.441022i −0.710169 0.704031i \(-0.751382\pi\)
0.964793 + 0.263009i \(0.0847149\pi\)
\(468\) 4953.65 3377.34i 0.489279 0.333584i
\(469\) 31.6807 + 138.802i 0.00311914 + 0.0136658i
\(470\) 6198.44 934.264i 0.608325 0.0916902i
\(471\) 7612.31 9545.53i 0.744706 0.933832i
\(472\) −22287.1 −2.17340
\(473\) 13571.6 1601.22i 1.31929 0.155654i
\(474\) −31197.4 −3.02309
\(475\) 1411.67 1770.18i 0.136362 0.170993i
\(476\) 1720.10 259.264i 0.165632 0.0249650i
\(477\) 1781.54 + 7805.45i 0.171009 + 0.749239i
\(478\) 19037.0 12979.2i 1.82161 1.24195i
\(479\) −5201.75 + 9009.70i −0.496188 + 0.859423i −0.999990 0.00439570i \(-0.998601\pi\)
0.503802 + 0.863819i \(0.331934\pi\)
\(480\) −9930.74 17200.5i −0.944321 1.63561i
\(481\) 1455.56 + 700.962i 0.137979 + 0.0664472i
\(482\) −10173.4 + 3138.07i −0.961377 + 0.296546i
\(483\) 0.707353 9.43897i 6.66370e−5 0.000889209i
\(484\) −4430.67 + 19412.1i −0.416104 + 1.82307i
\(485\) 883.596 + 2251.37i 0.0827258 + 0.210782i
\(486\) 3333.61 + 44483.9i 0.311143 + 4.15191i
\(487\) −128.915 19.4308i −0.0119953 0.00180799i 0.143042 0.989717i \(-0.454312\pi\)
−0.155037 + 0.987909i \(0.549550\pi\)
\(488\) −1638.25 + 1520.07i −0.151967 + 0.141005i
\(489\) 23750.1 11437.4i 2.19635 1.05771i
\(490\) −8314.26 5668.57i −0.766531 0.522612i
\(491\) −2392.97 + 6097.20i −0.219946 + 0.560413i −0.997672 0.0681901i \(-0.978278\pi\)
0.777727 + 0.628603i \(0.216373\pi\)
\(492\) −11390.1 3513.37i −1.04371 0.321941i
\(493\) 2564.09 + 2379.13i 0.234241 + 0.217344i
\(494\) −361.670 453.520i −0.0329399 0.0413053i
\(495\) −11346.8 14228.5i −1.03031 1.29196i
\(496\) 7034.01 + 6526.61i 0.636767 + 0.590834i
\(497\) −719.710 222.001i −0.0649566 0.0200364i
\(498\) −7738.88 + 19718.3i −0.696360 + 1.77430i
\(499\) 10264.8 + 6998.42i 0.920873 + 0.627841i 0.928180 0.372133i \(-0.121373\pi\)
−0.00730650 + 0.999973i \(0.502326\pi\)
\(500\) 21576.6 10390.8i 1.92987 0.929377i
\(501\) 27551.8 25564.3i 2.45693 2.27970i
\(502\) 13912.9 + 2097.04i 1.23698 + 0.186445i
\(503\) −1210.88 16158.1i −0.107337 1.43232i −0.747594 0.664156i \(-0.768791\pi\)
0.640257 0.768161i \(-0.278828\pi\)
\(504\) −1219.75 3107.88i −0.107802 0.274675i
\(505\) −988.723 + 4331.88i −0.0871240 + 0.381715i
\(506\) 22.6247 301.906i 0.00198773 0.0265244i
\(507\) −20167.7 + 6220.91i −1.76663 + 0.544932i
\(508\) −31754.0 15291.9i −2.77334 1.33557i
\(509\) −10983.1 19023.2i −0.956417 1.65656i −0.731092 0.682279i \(-0.760989\pi\)
−0.225325 0.974284i \(-0.572344\pi\)
\(510\) −15454.9 + 26768.6i −1.34187 + 2.32419i
\(511\) −22.9438 + 15.6428i −0.00198625 + 0.00135420i
\(512\) 4323.83 + 18943.9i 0.373219 + 1.63518i
\(513\) 9289.38 1400.15i 0.799486 0.120503i
\(514\) −18005.9 + 22578.6i −1.54514 + 1.93755i
\(515\) 8263.85 0.707085
\(516\) −40364.4 + 35106.2i −3.44369 + 2.99509i
\(517\) 10335.1 0.879182
\(518\) 949.061 1190.09i 0.0805007 0.100945i
\(519\) 35496.1 5350.18i 3.00213 0.452499i
\(520\) −345.613 1514.23i −0.0291464 0.127699i
\(521\) 12645.1 8621.27i 1.06332 0.724961i 0.100456 0.994941i \(-0.467970\pi\)
0.962866 + 0.269981i \(0.0870173\pi\)
\(522\) 5679.37 9836.95i 0.476205 0.824812i
\(523\) −2550.80 4418.12i −0.213267 0.369390i 0.739468 0.673192i \(-0.235077\pi\)
−0.952735 + 0.303802i \(0.901744\pi\)
\(524\) 11823.2 + 5693.74i 0.985683 + 0.474680i
\(525\) 711.872 219.583i 0.0591784 0.0182541i
\(526\) −330.670 + 4412.48i −0.0274104 + 0.365767i
\(527\) 1427.61 6254.76i 0.118003 0.517005i
\(528\) −27847.0 70953.0i −2.29524 5.84817i
\(529\) −909.135 12131.6i −0.0747214 0.997088i
\(530\) 3470.05 + 523.026i 0.284395 + 0.0428657i
\(531\) 18051.5 16749.4i 1.47527 1.36885i
\(532\) −349.491 + 168.306i −0.0284818 + 0.0137161i
\(533\) −237.240 161.747i −0.0192795 0.0131446i
\(534\) 17150.2 43697.9i 1.38981 3.54118i
\(535\) 2808.65 + 866.354i 0.226969 + 0.0700107i
\(536\) −7723.18 7166.07i −0.622371 0.577476i
\(537\) 10808.9 + 13553.9i 0.868600 + 1.08919i
\(538\) −7908.17 9916.53i −0.633727 0.794669i
\(539\) −12162.1 11284.7i −0.971905 0.901796i
\(540\) 40668.0 + 12544.4i 3.24088 + 0.999678i
\(541\) 1384.92 3528.72i 0.110060 0.280428i −0.865223 0.501387i \(-0.832823\pi\)
0.975283 + 0.220959i \(0.0709186\pi\)
\(542\) −18718.3 12761.9i −1.48343 1.01139i
\(543\) −32529.6 + 15665.4i −2.57086 + 1.23806i
\(544\) −29068.1 + 26971.3i −2.29097 + 2.12571i
\(545\) −10693.2 1611.73i −0.840449 0.126677i
\(546\) −14.2630 190.327i −0.00111795 0.0149180i
\(547\) 1410.63 + 3594.22i 0.110263 + 0.280946i 0.975345 0.220684i \(-0.0708290\pi\)
−0.865082 + 0.501630i \(0.832734\pi\)
\(548\) 6690.02 29310.9i 0.521502 2.28485i
\(549\) 184.530 2462.38i 0.0143453 0.191424i
\(550\) 22769.2 7023.38i 1.76524 0.544505i
\(551\) −702.753 338.428i −0.0543344 0.0261661i
\(552\) 350.226 + 606.610i 0.0270048 + 0.0467736i
\(553\) −251.276 + 435.222i −0.0193225 + 0.0334675i
\(554\) −27647.3 + 18849.6i −2.12025 + 1.44556i
\(555\) 4271.67 + 18715.4i 0.326707 + 1.43140i
\(556\) −32829.4 + 4948.24i −2.50410 + 0.377432i
\(557\) 8784.45 11015.4i 0.668239 0.837946i −0.325973 0.945379i \(-0.605692\pi\)
0.994212 + 0.107434i \(0.0342633\pi\)
\(558\) −20833.8 −1.58059
\(559\) −1178.41 + 521.502i −0.0891616 + 0.0394583i
\(560\) −744.711 −0.0561960
\(561\) −31774.5 + 39844.0i −2.39130 + 2.99860i
\(562\) 34468.4 5195.27i 2.58712 0.389945i
\(563\) 982.975 + 4306.69i 0.0735834 + 0.322390i 0.998301 0.0582633i \(-0.0185563\pi\)
−0.924718 + 0.380653i \(0.875699\pi\)
\(564\) −33427.3 + 22790.3i −2.49564 + 1.70150i
\(565\) −3256.71 + 5640.78i −0.242497 + 0.420017i
\(566\) 5343.32 + 9254.90i 0.396814 + 0.687301i
\(567\) 1446.80 + 696.742i 0.107160 + 0.0516056i
\(568\) 53259.4 16428.3i 3.93435 1.21359i
\(569\) −219.357 + 2927.12i −0.0161616 + 0.215661i 0.983276 + 0.182122i \(0.0582967\pi\)
−0.999437 + 0.0335387i \(0.989322\pi\)
\(570\) 1533.77 6719.88i 0.112706 0.493798i
\(571\) 5383.54 + 13717.0i 0.394561 + 1.00532i 0.980770 + 0.195165i \(0.0625242\pi\)
−0.586210 + 0.810159i \(0.699381\pi\)
\(572\) −323.786 4320.62i −0.0236681 0.315829i
\(573\) −40651.3 6127.20i −2.96376 0.446715i
\(574\) −198.317 + 184.011i −0.0144209 + 0.0133806i
\(575\) −100.396 + 48.3484i −0.00728143 + 0.00350655i
\(576\) 34512.2 + 23530.1i 2.49655 + 1.70212i
\(577\) −4615.25 + 11759.5i −0.332990 + 0.848445i 0.662095 + 0.749420i \(0.269668\pi\)
−0.995085 + 0.0990248i \(0.968428\pi\)
\(578\) 34323.0 + 10587.3i 2.46998 + 0.761889i
\(579\) −14843.9 13773.1i −1.06544 0.988584i
\(580\) −2203.16 2762.68i −0.157727 0.197783i
\(581\) 212.750 + 266.781i 0.0151917 + 0.0190498i
\(582\) −16122.3 14959.3i −1.14826 1.06543i
\(583\) 5528.81 + 1705.41i 0.392762 + 0.121151i
\(584\) 750.751 1912.88i 0.0531957 0.135540i
\(585\) 1417.92 + 966.718i 0.100211 + 0.0683229i
\(586\) 15510.5 7469.47i 1.09340 0.526555i
\(587\) −8775.36 + 8142.34i −0.617032 + 0.572522i −0.925516 0.378707i \(-0.876369\pi\)
0.308485 + 0.951229i \(0.400178\pi\)
\(588\) 64220.7 + 9679.71i 4.50411 + 0.678886i
\(589\) 106.912 + 1426.65i 0.00747919 + 0.0998029i
\(590\) −3943.36 10047.5i −0.275162 0.701101i
\(591\) −6098.06 + 26717.3i −0.424434 + 1.85957i
\(592\) −4283.75 + 57162.6i −0.297400 + 3.96853i
\(593\) 24085.2 7429.30i 1.66789 0.514477i 0.690041 0.723771i \(-0.257593\pi\)
0.977853 + 0.209294i \(0.0671165\pi\)
\(594\) 89074.7 + 42896.1i 6.15283 + 2.96305i
\(595\) 248.959 + 431.209i 0.0171535 + 0.0297107i
\(596\) 28590.4 49520.0i 1.96495 3.40338i
\(597\) 357.655 243.845i 0.0245190 0.0167168i
\(598\) 6.35270 + 27.8330i 0.000434417 + 0.00190330i
\(599\) −10795.1 + 1627.11i −0.736356 + 0.110988i −0.506504 0.862238i \(-0.669062\pi\)
−0.229852 + 0.973226i \(0.573824\pi\)
\(600\) −34372.1 + 43101.2i −2.33872 + 2.93267i
\(601\) −7264.54 −0.493056 −0.246528 0.969136i \(-0.579290\pi\)
−0.246528 + 0.969136i \(0.579290\pi\)
\(602\) 231.976 + 1191.80i 0.0157054 + 0.0806878i
\(603\) 11640.9 0.786161
\(604\) −17754.3 + 22263.2i −1.19605 + 1.49980i
\(605\) −5635.68 + 849.442i −0.378716 + 0.0570822i
\(606\) −8991.06 39392.4i −0.602701 2.64061i
\(607\) 17633.6 12022.4i 1.17912 0.803911i 0.194895 0.980824i \(-0.437564\pi\)
0.984226 + 0.176913i \(0.0566111\pi\)
\(608\) 4421.26 7657.85i 0.294911 0.510801i
\(609\) −128.321 222.258i −0.00853828 0.0147887i
\(610\) −975.146 469.606i −0.0647254 0.0311701i
\(611\) −931.276 + 287.261i −0.0616619 + 0.0190202i
\(612\) 10629.0 141834.i 0.702044 9.36813i
\(613\) 2565.95 11242.2i 0.169067 0.740729i −0.817306 0.576204i \(-0.804533\pi\)
0.986373 0.164526i \(-0.0526094\pi\)
\(614\) 10963.4 + 27934.3i 0.720599 + 1.83606i
\(615\) −254.967 3402.29i −0.0167175 0.223079i
\(616\) −2385.83 359.605i −0.156051 0.0235210i
\(617\) −6638.45 + 6159.58i −0.433151 + 0.401905i −0.866385 0.499376i \(-0.833563\pi\)
0.433235 + 0.901281i \(0.357372\pi\)
\(618\) −67706.2 + 32605.6i −4.40703 + 2.12231i
\(619\) −3519.79 2399.75i −0.228550 0.155822i 0.443631 0.896209i \(-0.353690\pi\)
−0.672181 + 0.740387i \(0.734642\pi\)
\(620\) −2367.85 + 6033.20i −0.153380 + 0.390805i
\(621\) −441.807 136.279i −0.0285493 0.00880628i
\(622\) −20329.5 18863.0i −1.31051 1.21598i
\(623\) −471.477 591.214i −0.0303200 0.0380200i
\(624\) 4481.36 + 5619.44i 0.287497 + 0.360509i
\(625\) −3556.23 3299.69i −0.227598 0.211180i
\(626\) −6738.70 2078.61i −0.430244 0.132713i
\(627\) 4151.85 10578.8i 0.264448 0.673803i
\(628\) 20346.1 + 13871.8i 1.29283 + 0.881439i
\(629\) 34530.9 16629.2i 2.18893 1.05413i
\(630\) 1185.29 1099.78i 0.0749570 0.0695499i
\(631\) 5293.42 + 797.855i 0.333959 + 0.0503362i 0.313881 0.949462i \(-0.398371\pi\)
0.0200774 + 0.999798i \(0.493609\pi\)
\(632\) −2779.16 37085.4i −0.174920 2.33414i
\(633\) 14492.8 + 36926.9i 0.910009 + 2.31866i
\(634\) −2228.93 + 9765.58i −0.139625 + 0.611736i
\(635\) 753.892 10060.0i 0.0471139 0.628691i
\(636\) −21642.8 + 6675.91i −1.34936 + 0.416222i
\(637\) 1409.56 + 678.806i 0.0876745 + 0.0422218i
\(638\) −4104.34 7108.92i −0.254690 0.441136i
\(639\) −30791.3 + 53332.1i −1.90624 + 3.30170i
\(640\) 1591.14 1084.82i 0.0982737 0.0670019i
\(641\) 4008.63 + 17563.0i 0.247007 + 1.08221i 0.934485 + 0.356003i \(0.115861\pi\)
−0.687478 + 0.726206i \(0.741282\pi\)
\(642\) −26429.7 + 3983.64i −1.62476 + 0.244893i
\(643\) 8239.43 10331.9i 0.505336 0.633672i −0.462087 0.886834i \(-0.652899\pi\)
0.967424 + 0.253163i \(0.0814708\pi\)
\(644\) 19.0910 0.00116816
\(645\) −13575.1 7083.90i −0.828713 0.432447i
\(646\) −13761.3 −0.838130
\(647\) −5889.54 + 7385.25i −0.357870 + 0.448755i −0.927878 0.372885i \(-0.878369\pi\)
0.570008 + 0.821639i \(0.306940\pi\)
\(648\) −117506. + 17711.1i −7.12354 + 1.07370i
\(649\) −3959.98 17349.8i −0.239511 1.04937i
\(650\) −1856.48 + 1265.73i −0.112026 + 0.0763783i
\(651\) −235.362 + 407.658i −0.0141698 + 0.0245428i
\(652\) 26583.6 + 46044.2i 1.59677 + 2.76569i
\(653\) −14478.6 6972.54i −0.867676 0.417851i −0.0535681 0.998564i \(-0.517059\pi\)
−0.814108 + 0.580713i \(0.802774\pi\)
\(654\) 93968.9 28985.6i 5.61846 1.73307i
\(655\) −280.702 + 3745.71i −0.0167449 + 0.223446i
\(656\) 2267.04 9932.57i 0.134929 0.591161i
\(657\) 829.510 + 2113.56i 0.0492576 + 0.125506i
\(658\) 68.6205 + 915.677i 0.00406551 + 0.0542505i
\(659\) −23985.7 3615.26i −1.41783 0.213704i −0.605010 0.796217i \(-0.706831\pi\)
−0.812821 + 0.582514i \(0.802069\pi\)
\(660\) 37740.1 35017.7i 2.22580 2.06524i
\(661\) 12924.6 6224.17i 0.760528 0.366251i −0.0130806 0.999914i \(-0.504164\pi\)
0.773609 + 0.633663i \(0.218450\pi\)
\(662\) 40015.0 + 27281.8i 2.34929 + 1.60172i
\(663\) 1755.69 4473.43i 0.102844 0.262042i
\(664\) −24129.2 7442.88i −1.41023 0.435000i
\(665\) −81.3928 75.5214i −0.00474628 0.00440390i
\(666\) −77599.4 97306.6i −4.51489 5.66149i
\(667\) 23.9346 + 30.0130i 0.00138943 + 0.00174229i
\(668\) 55569.9 + 51561.3i 3.21866 + 2.98648i
\(669\) −13341.5 4115.31i −0.771021 0.237828i
\(670\) 1864.12 4749.71i 0.107489 0.273876i
\(671\) −1474.42 1005.24i −0.0848274 0.0578343i
\(672\) 2621.32 1262.36i 0.150475 0.0724651i
\(673\) −14641.0 + 13584.8i −0.838586 + 0.778094i −0.977215 0.212250i \(-0.931921\pi\)
0.138629 + 0.990344i \(0.455730\pi\)
\(674\) −11387.9 1716.45i −0.650808 0.0980936i
\(675\) −2719.33 36286.9i −0.155062 2.06916i
\(676\) −15551.8 39625.3i −0.884831 2.25451i
\(677\) −1046.07 + 4583.13i −0.0593851 + 0.260183i −0.995902 0.0904393i \(-0.971173\pi\)
0.936517 + 0.350623i \(0.114030\pi\)
\(678\) 4426.30 59064.8i 0.250724 3.34568i
\(679\) −338.546 + 104.428i −0.0191343 + 0.00590215i
\(680\) −33197.5 15987.1i −1.87216 0.901583i
\(681\) 16371.9 + 28357.0i 0.921254 + 1.59566i
\(682\) −7528.04 + 13039.0i −0.422674 + 0.732093i
\(683\) −7887.85 + 5377.84i −0.441904 + 0.301285i −0.763756 0.645505i \(-0.776647\pi\)
0.321852 + 0.946790i \(0.395695\pi\)
\(684\) 7057.66 + 30921.6i 0.394527 + 1.72854i
\(685\) 8509.49 1282.60i 0.474644 0.0715410i
\(686\) 1839.93 2307.20i 0.102404 0.128410i
\(687\) 37469.9 2.08088
\(688\) −32500.5 32161.6i −1.80097 1.78219i
\(689\) −545.592 −0.0301675
\(690\) −211.506 + 265.220i −0.0116694 + 0.0146330i
\(691\) 5579.13 840.918i 0.307149 0.0462953i 0.00634081 0.999980i \(-0.497982\pi\)
0.300808 + 0.953685i \(0.402744\pi\)
\(692\) 16110.9 + 70586.3i 0.885034 + 3.87759i
\(693\) 2202.66 1501.75i 0.120739 0.0823186i
\(694\) 19966.1 34582.3i 1.09208 1.89153i
\(695\) −4751.56 8229.94i −0.259334 0.449179i
\(696\) 17111.0 + 8240.20i 0.931881 + 0.448770i
\(697\) −6509.12 + 2007.80i −0.353731 + 0.109112i
\(698\) −4370.36 + 58318.4i −0.236992 + 3.16244i
\(699\) −3067.97 + 13441.6i −0.166010 + 0.727338i
\(700\) 548.941 + 1398.68i 0.0296400 + 0.0755216i
\(701\) 319.273 + 4260.40i 0.0172022 + 0.229548i 0.999178 + 0.0405406i \(0.0129080\pi\)
−0.981976 + 0.189007i \(0.939473\pi\)
\(702\) −9218.64 1389.49i −0.495634 0.0747048i
\(703\) −6265.08 + 5813.14i −0.336119 + 0.311873i
\(704\) 27197.0 13097.4i 1.45600 0.701172i
\(705\) −9568.11 6523.43i −0.511143 0.348492i
\(706\) −12842.4 + 32722.0i −0.684606 + 1.74435i
\(707\) −621.965 191.851i −0.0330854 0.0102055i
\(708\) 51066.7 + 47383.0i 2.71074 + 2.51520i
\(709\) −3503.04 4392.68i −0.185557 0.232681i 0.680349 0.732889i \(-0.261828\pi\)
−0.865905 + 0.500208i \(0.833257\pi\)
\(710\) 16829.7 + 21103.8i 0.889587 + 1.11551i
\(711\) 30121.7 + 27948.8i 1.58882 + 1.47421i
\(712\) 53472.9 + 16494.2i 2.81458 + 0.868183i
\(713\) 25.7238 65.5431i 0.00135114 0.00344265i
\(714\) −3741.10 2550.64i −0.196088 0.133691i
\(715\) 1117.37 538.097i 0.0584438 0.0281450i
\(716\) −25631.6 + 23782.7i −1.33785 + 1.24134i
\(717\) −42089.6 6343.99i −2.19228 0.330433i
\(718\) 569.094 + 7594.03i 0.0295799 + 0.394717i
\(719\) −7631.35 19444.4i −0.395829 1.00856i −0.980366 0.197189i \(-0.936819\pi\)
0.584536 0.811368i \(-0.301276\pi\)
\(720\) −13549.5 + 59364.1i −0.701332 + 3.07274i
\(721\) −90.4641 + 1207.16i −0.00467276 + 0.0623536i
\(722\) −31476.9 + 9709.34i −1.62251 + 0.500477i
\(723\) 17720.3 + 8533.64i 0.911514 + 0.438962i
\(724\) −36410.6 63065.1i −1.86905 3.23729i
\(725\) −1510.65 + 2616.53i −0.0773851 + 0.134035i
\(726\) 42821.9 29195.5i 2.18908 1.49249i
\(727\) −4955.40 21711.0i −0.252800 1.10759i −0.928769 0.370659i \(-0.879132\pi\)
0.675969 0.736930i \(-0.263725\pi\)
\(728\) 224.977 33.9099i 0.0114536 0.00172635i
\(729\) 18423.2 23101.9i 0.935995 1.17370i
\(730\) 995.203 0.0504577
\(731\) −7757.52 + 29570.4i −0.392506 + 1.49617i
\(732\) 6985.46 0.352719
\(733\) 2200.51 2759.36i 0.110884 0.139044i −0.723292 0.690542i \(-0.757372\pi\)
0.834176 + 0.551498i \(0.185944\pi\)
\(734\) −4426.87 + 667.244i −0.222614 + 0.0335537i
\(735\) 4136.65 + 18123.9i 0.207596 + 0.909536i
\(736\) −359.572 + 245.152i −0.0180082 + 0.0122777i
\(737\) 4206.30 7285.53i 0.210232 0.364133i
\(738\) 11060.1 + 19156.7i 0.551665 + 0.955511i
\(739\) −1870.96 901.008i −0.0931319 0.0448500i 0.386738 0.922190i \(-0.373602\pi\)
−0.479870 + 0.877340i \(0.659316\pi\)
\(740\) −36998.2 + 11412.4i −1.83795 + 0.566931i
\(741\) −80.0828 + 1068.63i −0.00397020 + 0.0529786i
\(742\) −114.389 + 501.169i −0.00565949 + 0.0247958i
\(743\) −4953.70 12621.8i −0.244594 0.623217i 0.754872 0.655872i \(-0.227699\pi\)
−0.999467 + 0.0326553i \(0.989604\pi\)
\(744\) −2603.15 34736.6i −0.128274 1.71170i
\(745\) 16184.4 + 2439.41i 0.795908 + 0.119964i
\(746\) −21187.1 + 19658.8i −1.03983 + 0.964823i
\(747\) 25137.1 12105.4i 1.23122 0.592922i
\(748\) −84926.8 57902.1i −4.15138 2.83036i
\(749\) −157.301 + 400.795i −0.00767375 + 0.0195524i
\(750\) −59566.1 18373.7i −2.90006 0.894550i
\(751\) −19323.4 17929.5i −0.938908 0.871179i 0.0529413 0.998598i \(-0.483140\pi\)
−0.991849 + 0.127419i \(0.959331\pi\)
\(752\) −21560.1 27035.5i −1.04550 1.31102i
\(753\) −16206.4 20322.2i −0.784321 0.983508i
\(754\) 567.424 + 526.493i 0.0274063 + 0.0254293i
\(755\) −7788.69 2402.49i −0.375443 0.115809i
\(756\) −2277.64 + 5803.34i −0.109573 + 0.279187i
\(757\) 4978.81 + 3394.49i 0.239046 +