Properties

Label 43.4.g.a.9.3
Level 43
Weight 4
Character 43.9
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 9.3
Character \(\chi\) \(=\) 43.9
Dual form 43.4.g.a.24.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.84616 - 2.31501i) q^{2} +(0.851997 + 0.128418i) q^{3} +(-0.170806 + 0.748350i) q^{4} +(-8.91021 - 6.07488i) q^{5} +(-1.27563 - 2.20946i) q^{6} +(4.30159 - 7.45057i) q^{7} +(-19.2945 + 9.29173i) q^{8} +(-25.0911 - 7.73957i) q^{9} +O(q^{10})\) \(q+(-1.84616 - 2.31501i) q^{2} +(0.851997 + 0.128418i) q^{3} +(-0.170806 + 0.748350i) q^{4} +(-8.91021 - 6.07488i) q^{5} +(-1.27563 - 2.20946i) q^{6} +(4.30159 - 7.45057i) q^{7} +(-19.2945 + 9.29173i) q^{8} +(-25.0911 - 7.73957i) q^{9} +(2.38626 + 31.8425i) q^{10} +(-0.134045 - 0.587291i) q^{11} +(-0.241628 + 0.615657i) q^{12} +(2.09097 - 27.9021i) q^{13} +(-25.1896 + 3.79672i) q^{14} +(-6.81135 - 6.32001i) q^{15} +(62.6638 + 30.1773i) q^{16} +(55.0315 - 37.5198i) q^{17} +(28.4049 + 72.3746i) q^{18} +(154.353 - 47.6114i) q^{19} +(6.06805 - 5.63033i) q^{20} +(4.62173 - 5.79546i) q^{21} +(-1.11212 + 1.39455i) q^{22} +(-33.1040 + 30.7160i) q^{23} +(-17.6320 + 5.43877i) q^{24} +(-3.17989 - 8.10222i) q^{25} +(-68.4540 + 46.6711i) q^{26} +(-41.3435 - 19.9100i) q^{27} +(4.84090 + 4.49170i) q^{28} +(-46.8714 + 7.06473i) q^{29} +(-2.05605 + 27.4361i) q^{30} +(-4.41961 + 11.2610i) q^{31} +(-7.70392 - 33.7531i) q^{32} +(-0.0387875 - 0.517584i) q^{33} +(-188.456 - 58.1309i) q^{34} +(-83.5894 + 40.2545i) q^{35} +(10.0776 - 17.4549i) q^{36} +(94.0547 + 162.907i) q^{37} +(-395.181 - 269.430i) q^{38} +(5.36463 - 23.5040i) q^{39} +(228.364 + 34.4203i) q^{40} +(-40.0563 - 50.2290i) q^{41} -21.9490 q^{42} +(-118.858 - 255.695i) q^{43} +0.462395 q^{44} +(176.550 + 221.386i) q^{45} +(132.223 + 19.9295i) q^{46} +(46.8246 - 205.152i) q^{47} +(49.5140 + 33.7581i) q^{48} +(134.493 + 232.948i) q^{49} +(-12.8862 + 22.3195i) q^{50} +(51.7048 - 24.8997i) q^{51} +(20.5234 + 6.33062i) q^{52} +(-33.4971 - 446.988i) q^{53} +(30.2349 + 132.468i) q^{54} +(-2.37335 + 6.04720i) q^{55} +(-13.7682 + 183.724i) q^{56} +(137.622 - 20.7432i) q^{57} +(102.887 + 95.4653i) q^{58} +(-151.061 - 72.7471i) q^{59} +(5.89300 - 4.01778i) q^{60} +(282.594 + 720.038i) q^{61} +(34.2286 - 10.5581i) q^{62} +(-165.596 + 153.650i) q^{63} +(283.001 - 354.872i) q^{64} +(-188.133 + 235.911i) q^{65} +(-1.12660 + 1.04534i) q^{66} +(-787.823 + 243.011i) q^{67} +(18.6782 + 47.5914i) q^{68} +(-32.1490 + 21.9188i) q^{69} +(247.509 + 119.194i) q^{70} +(298.639 + 277.096i) q^{71} +(556.032 - 83.8084i) q^{72} +(39.4167 - 525.980i) q^{73} +(203.493 - 518.491i) q^{74} +(-1.66878 - 7.31142i) q^{75} +(9.26569 + 123.642i) q^{76} +(-4.95226 - 1.52757i) q^{77} +(-64.3160 + 30.9729i) q^{78} +(363.369 - 629.373i) q^{79} +(-375.024 - 649.561i) q^{80} +(553.099 + 377.096i) q^{81} +(-42.3304 + 185.462i) q^{82} +(-639.634 - 96.4094i) q^{83} +(3.54761 + 4.44857i) q^{84} -718.271 q^{85} +(-372.506 + 747.211i) q^{86} -40.8415 q^{87} +(8.04328 + 10.0860i) q^{88} +(314.399 + 47.3880i) q^{89} +(186.573 - 817.430i) q^{90} +(-198.892 - 135.602i) q^{91} +(-17.3320 - 30.0199i) q^{92} +(-5.21160 + 9.02676i) q^{93} +(-561.375 + 270.344i) q^{94} +(-1664.55 - 513.445i) q^{95} +(-2.22922 - 29.7468i) q^{96} +(-52.1444 - 228.459i) q^{97} +(290.983 - 741.412i) q^{98} +(-1.18204 + 15.7732i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.84616 2.31501i −0.652717 0.818481i 0.339812 0.940493i \(-0.389637\pi\)
−0.992529 + 0.122013i \(0.961065\pi\)
\(3\) 0.851997 + 0.128418i 0.163967 + 0.0247140i 0.230513 0.973069i \(-0.425960\pi\)
−0.0665457 + 0.997783i \(0.521198\pi\)
\(4\) −0.170806 + 0.748350i −0.0213507 + 0.0935437i
\(5\) −8.91021 6.07488i −0.796954 0.543354i 0.0950017 0.995477i \(-0.469714\pi\)
−0.891956 + 0.452123i \(0.850667\pi\)
\(6\) −1.27563 2.20946i −0.0867959 0.150335i
\(7\) 4.30159 7.45057i 0.232264 0.402293i −0.726210 0.687473i \(-0.758720\pi\)
0.958474 + 0.285180i \(0.0920533\pi\)
\(8\) −19.2945 + 9.29173i −0.852703 + 0.410640i
\(9\) −25.0911 7.73957i −0.929298 0.286651i
\(10\) 2.38626 + 31.8425i 0.0754603 + 1.00695i
\(11\) −0.134045 0.587291i −0.00367420 0.0160977i 0.973058 0.230562i \(-0.0740565\pi\)
−0.976732 + 0.214464i \(0.931199\pi\)
\(12\) −0.241628 + 0.615657i −0.00581266 + 0.0148104i
\(13\) 2.09097 27.9021i 0.0446101 0.595281i −0.929444 0.368964i \(-0.879713\pi\)
0.974054 0.226317i \(-0.0726684\pi\)
\(14\) −25.1896 + 3.79672i −0.480872 + 0.0724797i
\(15\) −6.81135 6.32001i −0.117246 0.108788i
\(16\) 62.6638 + 30.1773i 0.979122 + 0.471520i
\(17\) 55.0315 37.5198i 0.785123 0.535288i −0.103116 0.994669i \(-0.532881\pi\)
0.888239 + 0.459382i \(0.151929\pi\)
\(18\) 28.4049 + 72.3746i 0.371950 + 0.947714i
\(19\) 154.353 47.6114i 1.86373 0.574885i 0.866617 0.498975i \(-0.166290\pi\)
0.997115 0.0759104i \(-0.0241863\pi\)
\(20\) 6.06805 5.63033i 0.0678429 0.0629490i
\(21\) 4.62173 5.79546i 0.0480259 0.0602225i
\(22\) −1.11212 + 1.39455i −0.0107775 + 0.0135145i
\(23\) −33.1040 + 30.7160i −0.300116 + 0.278467i −0.815827 0.578296i \(-0.803718\pi\)
0.515712 + 0.856762i \(0.327528\pi\)
\(24\) −17.6320 + 5.43877i −0.149964 + 0.0462576i
\(25\) −3.17989 8.10222i −0.0254391 0.0648178i
\(26\) −68.4540 + 46.6711i −0.516344 + 0.352037i
\(27\) −41.3435 19.9100i −0.294688 0.141914i
\(28\) 4.84090 + 4.49170i 0.0326730 + 0.0303161i
\(29\) −46.8714 + 7.06473i −0.300131 + 0.0452375i −0.297381 0.954759i \(-0.596113\pi\)
−0.00274959 + 0.999996i \(0.500875\pi\)
\(30\) −2.05605 + 27.4361i −0.0125127 + 0.166971i
\(31\) −4.41961 + 11.2610i −0.0256060 + 0.0652430i −0.943105 0.332495i \(-0.892109\pi\)
0.917499 + 0.397738i \(0.130205\pi\)
\(32\) −7.70392 33.7531i −0.0425585 0.186461i
\(33\) −0.0387875 0.517584i −0.000204607 0.00273030i
\(34\) −188.456 58.1309i −0.950585 0.293217i
\(35\) −83.5894 + 40.2545i −0.403691 + 0.194407i
\(36\) 10.0776 17.4549i 0.0466556 0.0808098i
\(37\) 94.0547 + 162.907i 0.417905 + 0.723833i 0.995729 0.0923288i \(-0.0294311\pi\)
−0.577823 + 0.816162i \(0.696098\pi\)
\(38\) −395.181 269.430i −1.68702 1.15019i
\(39\) 5.36463 23.5040i 0.0220264 0.0965038i
\(40\) 228.364 + 34.4203i 0.902688 + 0.136058i
\(41\) −40.0563 50.2290i −0.152579 0.191328i 0.699667 0.714469i \(-0.253332\pi\)
−0.852246 + 0.523141i \(0.824760\pi\)
\(42\) −21.9490 −0.0806383
\(43\) −118.858 255.695i −0.421527 0.906816i
\(44\) 0.462395 0.00158429
\(45\) 176.550 + 221.386i 0.584855 + 0.733385i
\(46\) 132.223 + 19.9295i 0.423810 + 0.0638791i
\(47\) 46.8246 205.152i 0.145321 0.636691i −0.848828 0.528669i \(-0.822691\pi\)
0.994149 0.108022i \(-0.0344517\pi\)
\(48\) 49.5140 + 33.7581i 0.148890 + 0.101512i
\(49\) 134.493 + 232.948i 0.392107 + 0.679149i
\(50\) −12.8862 + 22.3195i −0.0364476 + 0.0631290i
\(51\) 51.7048 24.8997i 0.141963 0.0683659i
\(52\) 20.5234 + 6.33062i 0.0547323 + 0.0168827i
\(53\) −33.4971 446.988i −0.0868148 1.15846i −0.855138 0.518400i \(-0.826528\pi\)
0.768323 0.640062i \(-0.221091\pi\)
\(54\) 30.2349 + 132.468i 0.0761935 + 0.333826i
\(55\) −2.37335 + 6.04720i −0.00581859 + 0.0148255i
\(56\) −13.7682 + 183.724i −0.0328545 + 0.438413i
\(57\) 137.622 20.7432i 0.319798 0.0482018i
\(58\) 102.887 + 95.4653i 0.232927 + 0.216124i
\(59\) −151.061 72.7471i −0.333330 0.160523i 0.259731 0.965681i \(-0.416366\pi\)
−0.593060 + 0.805158i \(0.702081\pi\)
\(60\) 5.89300 4.01778i 0.0126797 0.00864488i
\(61\) 282.594 + 720.038i 0.593155 + 1.51133i 0.840170 + 0.542323i \(0.182455\pi\)
−0.247015 + 0.969012i \(0.579450\pi\)
\(62\) 34.2286 10.5581i 0.0701135 0.0216272i
\(63\) −165.596 + 153.650i −0.331160 + 0.307272i
\(64\) 283.001 354.872i 0.552737 0.693110i
\(65\) −188.133 + 235.911i −0.359000 + 0.450172i
\(66\) −1.12660 + 1.04534i −0.00210114 + 0.00194958i
\(67\) −787.823 + 243.011i −1.43654 + 0.443113i −0.912673 0.408690i \(-0.865986\pi\)
−0.523862 + 0.851803i \(0.675509\pi\)
\(68\) 18.6782 + 47.5914i 0.0333099 + 0.0848721i
\(69\) −32.1490 + 21.9188i −0.0560911 + 0.0382422i
\(70\) 247.509 + 119.194i 0.422615 + 0.203520i
\(71\) 298.639 + 277.096i 0.499182 + 0.463173i 0.889124 0.457666i \(-0.151315\pi\)
−0.389942 + 0.920839i \(0.627505\pi\)
\(72\) 556.032 83.8084i 0.910126 0.137179i
\(73\) 39.4167 525.980i 0.0631970 0.843305i −0.872074 0.489373i \(-0.837225\pi\)
0.935271 0.353932i \(-0.115155\pi\)
\(74\) 203.493 518.491i 0.319670 0.814505i
\(75\) −1.66878 7.31142i −0.00256926 0.0112567i
\(76\) 9.26569 + 123.642i 0.0139848 + 0.186615i
\(77\) −4.95226 1.52757i −0.00732938 0.00226081i
\(78\) −64.3160 + 30.9729i −0.0933635 + 0.0449615i
\(79\) 363.369 629.373i 0.517496 0.896329i −0.482298 0.876007i \(-0.660198\pi\)
0.999793 0.0203214i \(-0.00646895\pi\)
\(80\) −375.024 649.561i −0.524112 0.907789i
\(81\) 553.099 + 377.096i 0.758709 + 0.517279i
\(82\) −42.3304 + 185.462i −0.0570075 + 0.249766i
\(83\) −639.634 96.4094i −0.845892 0.127498i −0.288225 0.957563i \(-0.593065\pi\)
−0.557667 + 0.830065i \(0.688303\pi\)
\(84\) 3.54761 + 4.44857i 0.00460805 + 0.00577832i
\(85\) −718.271 −0.916558
\(86\) −372.506 + 747.211i −0.467073 + 0.936905i
\(87\) −40.8415 −0.0503296
\(88\) 8.04328 + 10.0860i 0.00974337 + 0.0122178i
\(89\) 314.399 + 47.3880i 0.374452 + 0.0564395i 0.333572 0.942725i \(-0.391746\pi\)
0.0408795 + 0.999164i \(0.486984\pi\)
\(90\) 186.573 817.430i 0.218517 0.957385i
\(91\) −198.892 135.602i −0.229116 0.156209i
\(92\) −17.3320 30.0199i −0.0196411 0.0340194i
\(93\) −5.21160 + 9.02676i −0.00581095 + 0.0100649i
\(94\) −561.375 + 270.344i −0.615973 + 0.296637i
\(95\) −1664.55 513.445i −1.79767 0.554509i
\(96\) −2.22922 29.7468i −0.00236998 0.0316252i
\(97\) −52.1444 228.459i −0.0545820 0.239140i 0.940277 0.340411i \(-0.110566\pi\)
−0.994859 + 0.101271i \(0.967709\pi\)
\(98\) 290.983 741.412i 0.299936 0.764224i
\(99\) −1.18204 + 15.7732i −0.00119999 + 0.0160128i
\(100\) 6.60644 0.995760i 0.00660644 0.000995760i
\(101\) 1158.75 + 1075.16i 1.14158 + 1.05924i 0.997571 + 0.0696595i \(0.0221913\pi\)
0.144013 + 0.989576i \(0.453999\pi\)
\(102\) −153.099 73.7284i −0.148618 0.0715706i
\(103\) −604.376 + 412.057i −0.578165 + 0.394186i −0.816798 0.576924i \(-0.804253\pi\)
0.238633 + 0.971110i \(0.423301\pi\)
\(104\) 218.914 + 557.785i 0.206407 + 0.525916i
\(105\) −76.3873 + 23.5624i −0.0709966 + 0.0218995i
\(106\) −972.942 + 902.758i −0.891514 + 0.827204i
\(107\) 984.432 1234.44i 0.889426 1.11531i −0.103268 0.994654i \(-0.532930\pi\)
0.992695 0.120652i \(-0.0384985\pi\)
\(108\) 21.9614 27.5387i 0.0195670 0.0245362i
\(109\) −1047.78 + 972.195i −0.920723 + 0.854306i −0.989677 0.143314i \(-0.954224\pi\)
0.0689542 + 0.997620i \(0.478034\pi\)
\(110\) 18.3809 5.66976i 0.0159323 0.00491446i
\(111\) 59.2140 + 150.875i 0.0506338 + 0.129013i
\(112\) 494.392 337.071i 0.417104 0.284377i
\(113\) 777.120 + 374.241i 0.646950 + 0.311555i 0.728430 0.685120i \(-0.240250\pi\)
−0.0814802 + 0.996675i \(0.525965\pi\)
\(114\) −302.093 280.301i −0.248190 0.230286i
\(115\) 481.560 72.5835i 0.390484 0.0588560i
\(116\) 2.71903 36.2829i 0.00217634 0.0290412i
\(117\) −268.415 + 683.910i −0.212094 + 0.540406i
\(118\) 110.472 + 484.011i 0.0861848 + 0.377600i
\(119\) −42.8213 571.411i −0.0329868 0.440178i
\(120\) 190.145 + 58.6520i 0.144648 + 0.0446181i
\(121\) 1198.86 577.342i 0.900723 0.433765i
\(122\) 1145.18 1983.52i 0.849836 1.47196i
\(123\) −27.6775 47.9389i −0.0202894 0.0351423i
\(124\) −7.67226 5.23086i −0.00555636 0.00378826i
\(125\) −320.847 + 1405.72i −0.229579 + 1.00585i
\(126\) 661.419 + 99.6928i 0.467650 + 0.0704868i
\(127\) 130.400 + 163.517i 0.0911115 + 0.114250i 0.825298 0.564698i \(-0.191007\pi\)
−0.734186 + 0.678948i \(0.762436\pi\)
\(128\) −1620.97 −1.11933
\(129\) −68.4308 233.115i −0.0467054 0.159105i
\(130\) 893.461 0.602783
\(131\) 1322.58 + 1658.47i 0.882096 + 1.10611i 0.993668 + 0.112357i \(0.0358399\pi\)
−0.111572 + 0.993756i \(0.535589\pi\)
\(132\) 0.393959 + 0.0593797i 0.000259771 + 3.91541e-5i
\(133\) 309.229 1354.82i 0.201605 0.883291i
\(134\) 2017.02 + 1375.18i 1.30033 + 0.886550i
\(135\) 247.429 + 428.559i 0.157743 + 0.273219i
\(136\) −713.179 + 1235.26i −0.449666 + 0.778844i
\(137\) 2107.95 1015.13i 1.31456 0.633056i 0.360520 0.932751i \(-0.382599\pi\)
0.954035 + 0.299695i \(0.0968850\pi\)
\(138\) 110.095 + 33.9597i 0.0679121 + 0.0209481i
\(139\) −168.290 2245.67i −0.102692 1.37033i −0.775891 0.630867i \(-0.782699\pi\)
0.673199 0.739461i \(-0.264920\pi\)
\(140\) −15.8469 69.4298i −0.00956649 0.0419135i
\(141\) 66.2396 168.776i 0.0395630 0.100805i
\(142\) 90.1461 1202.92i 0.0532739 0.710891i
\(143\) −16.6669 + 2.51214i −0.00974657 + 0.00146906i
\(144\) −1338.74 1242.17i −0.774735 0.718849i
\(145\) 460.552 + 221.790i 0.263771 + 0.127025i
\(146\) −1290.42 + 879.793i −0.731479 + 0.498714i
\(147\) 84.6726 + 215.742i 0.0475080 + 0.121048i
\(148\) −137.977 + 42.5602i −0.0766326 + 0.0236380i
\(149\) −1252.05 + 1161.73i −0.688402 + 0.638744i −0.944731 0.327846i \(-0.893677\pi\)
0.256329 + 0.966590i \(0.417487\pi\)
\(150\) −13.8452 + 17.3613i −0.00753637 + 0.00945030i
\(151\) 350.445 439.444i 0.188866 0.236831i −0.678379 0.734712i \(-0.737317\pi\)
0.867245 + 0.497882i \(0.165889\pi\)
\(152\) −2535.76 + 2352.84i −1.35314 + 1.25553i
\(153\) −1671.18 + 515.492i −0.883054 + 0.272386i
\(154\) 5.60633 + 14.2847i 0.00293358 + 0.00747463i
\(155\) 107.789 73.4891i 0.0558568 0.0380825i
\(156\) 16.6729 + 8.02924i 0.00855705 + 0.00412086i
\(157\) −1901.26 1764.11i −0.966480 0.896762i 0.0282183 0.999602i \(-0.491017\pi\)
−0.994698 + 0.102840i \(0.967207\pi\)
\(158\) −2127.84 + 320.721i −1.07141 + 0.161488i
\(159\) 28.8618 385.134i 0.0143955 0.192095i
\(160\) −136.402 + 347.548i −0.0673972 + 0.171725i
\(161\) 86.4521 + 378.771i 0.0423191 + 0.185412i
\(162\) −148.127 1976.61i −0.0718390 0.958625i
\(163\) 1235.06 + 380.965i 0.593480 + 0.183064i 0.576923 0.816799i \(-0.304253\pi\)
0.0165571 + 0.999863i \(0.494729\pi\)
\(164\) 44.4307 21.3967i 0.0211552 0.0101878i
\(165\) −2.79865 + 4.84741i −0.00132045 + 0.00228709i
\(166\) 957.679 + 1658.75i 0.447773 + 0.775566i
\(167\) −3287.91 2241.66i −1.52351 1.03871i −0.979927 0.199358i \(-0.936114\pi\)
−0.543585 0.839354i \(-0.682933\pi\)
\(168\) −35.3239 + 154.764i −0.0162220 + 0.0710733i
\(169\) 1398.31 + 210.761i 0.636462 + 0.0959312i
\(170\) 1326.04 + 1662.81i 0.598252 + 0.750185i
\(171\) −4241.36 −1.89675
\(172\) 211.651 45.2731i 0.0938269 0.0200700i
\(173\) 3543.99 1.55748 0.778742 0.627344i \(-0.215858\pi\)
0.778742 + 0.627344i \(0.215858\pi\)
\(174\) 75.4000 + 94.5487i 0.0328509 + 0.0411938i
\(175\) −74.0447 11.1604i −0.0319843 0.00482086i
\(176\) 9.32306 40.8470i 0.00399291 0.0174941i
\(177\) −119.361 81.3792i −0.0506879 0.0345584i
\(178\) −470.727 815.323i −0.198216 0.343320i
\(179\) 1684.46 2917.57i 0.703365 1.21826i −0.263913 0.964547i \(-0.585013\pi\)
0.967278 0.253718i \(-0.0816536\pi\)
\(180\) −195.830 + 94.3069i −0.0810907 + 0.0390512i
\(181\) −2875.89 887.093i −1.18101 0.364294i −0.358766 0.933428i \(-0.616802\pi\)
−0.822245 + 0.569134i \(0.807279\pi\)
\(182\) 53.2657 + 710.781i 0.0216940 + 0.289487i
\(183\) 148.304 + 649.760i 0.0599066 + 0.262468i
\(184\) 353.319 900.242i 0.141560 0.360689i
\(185\) 151.596 2022.91i 0.0602464 0.803932i
\(186\) 30.5185 4.59993i 0.0120308 0.00181335i
\(187\) −29.4118 27.2901i −0.0115016 0.0106719i
\(188\) 145.528 + 70.0824i 0.0564558 + 0.0271877i
\(189\) −326.184 + 222.388i −0.125536 + 0.0855892i
\(190\) 1884.39 + 4801.35i 0.719517 + 1.83330i
\(191\) 1692.36 522.025i 0.641126 0.197761i 0.0428885 0.999080i \(-0.486344\pi\)
0.598238 + 0.801319i \(0.295868\pi\)
\(192\) 286.688 266.008i 0.107760 0.0999868i
\(193\) 2226.00 2791.32i 0.830213 1.04105i −0.168256 0.985743i \(-0.553813\pi\)
0.998469 0.0553113i \(-0.0176151\pi\)
\(194\) −432.620 + 542.488i −0.160104 + 0.200765i
\(195\) −190.584 + 176.836i −0.0699897 + 0.0649410i
\(196\) −197.299 + 60.8586i −0.0719019 + 0.0221788i
\(197\) 1439.29 + 3667.24i 0.520533 + 1.32630i 0.913536 + 0.406759i \(0.133341\pi\)
−0.393003 + 0.919537i \(0.628564\pi\)
\(198\) 38.6974 26.3834i 0.0138894 0.00946964i
\(199\) 2312.14 + 1113.47i 0.823633 + 0.396641i 0.797724 0.603023i \(-0.206037\pi\)
0.0259098 + 0.999664i \(0.491752\pi\)
\(200\) 136.638 + 126.781i 0.0483088 + 0.0448240i
\(201\) −702.430 + 105.874i −0.246495 + 0.0371532i
\(202\) 349.777 4667.45i 0.121833 1.62574i
\(203\) −148.985 + 379.608i −0.0515109 + 0.131248i
\(204\) 9.80222 + 42.9463i 0.00336418 + 0.0147394i
\(205\) 51.7749 + 690.888i 0.0176396 + 0.235384i
\(206\) 2069.69 + 638.415i 0.700011 + 0.215925i
\(207\) 1068.34 514.487i 0.358720 0.172750i
\(208\) 973.038 1685.35i 0.324366 0.561818i
\(209\) −48.6520 84.2677i −0.0161021 0.0278896i
\(210\) 195.570 + 133.338i 0.0642650 + 0.0438151i
\(211\) −843.892 + 3697.33i −0.275336 + 1.20633i 0.628281 + 0.777986i \(0.283759\pi\)
−0.903617 + 0.428341i \(0.859098\pi\)
\(212\) 340.225 + 51.2806i 0.110220 + 0.0166131i
\(213\) 218.855 + 274.436i 0.0704024 + 0.0882818i
\(214\) −4675.16 −1.49340
\(215\) −494.265 + 3000.34i −0.156784 + 0.951729i
\(216\) 982.699 0.309557
\(217\) 64.8894 + 81.3687i 0.0202994 + 0.0254547i
\(218\) 4185.01 + 630.789i 1.30020 + 0.195974i
\(219\) 101.128 443.071i 0.0312037 0.136712i
\(220\) −4.12004 2.80899i −0.00126260 0.000860829i
\(221\) −931.812 1613.95i −0.283622 0.491248i
\(222\) 239.959 415.621i 0.0725449 0.125652i
\(223\) −1372.98 + 661.195i −0.412295 + 0.198551i −0.628521 0.777792i \(-0.716340\pi\)
0.216226 + 0.976343i \(0.430625\pi\)
\(224\) −284.619 87.7933i −0.0848969 0.0261872i
\(225\) 17.0791 + 227.904i 0.00506046 + 0.0675272i
\(226\) −568.315 2489.95i −0.167273 0.732873i
\(227\) −1334.95 + 3401.39i −0.390324 + 0.994528i 0.591765 + 0.806110i \(0.298431\pi\)
−0.982089 + 0.188418i \(0.939664\pi\)
\(228\) −7.98350 + 106.532i −0.00231895 + 0.0309442i
\(229\) −401.745 + 60.5534i −0.115931 + 0.0174737i −0.206751 0.978394i \(-0.566289\pi\)
0.0908207 + 0.995867i \(0.471051\pi\)
\(230\) −1057.07 980.817i −0.303048 0.281188i
\(231\) −4.02314 1.93744i −0.00114590 0.000551837i
\(232\) 838.715 571.826i 0.237346 0.161820i
\(233\) 802.570 + 2044.92i 0.225657 + 0.574965i 0.998198 0.0599995i \(-0.0191099\pi\)
−0.772541 + 0.634965i \(0.781015\pi\)
\(234\) 2078.80 641.224i 0.580749 0.179137i
\(235\) −1663.49 + 1543.49i −0.461762 + 0.428453i
\(236\) 80.2424 100.621i 0.0221328 0.0277536i
\(237\) 390.412 489.561i 0.107004 0.134179i
\(238\) −1243.77 + 1154.05i −0.338746 + 0.314310i
\(239\) −837.232 + 258.252i −0.226594 + 0.0698951i −0.405973 0.913885i \(-0.633067\pi\)
0.179379 + 0.983780i \(0.442591\pi\)
\(240\) −236.104 601.584i −0.0635019 0.161800i
\(241\) −4805.43 + 3276.28i −1.28442 + 0.875701i −0.996633 0.0819935i \(-0.973871\pi\)
−0.287785 + 0.957695i \(0.592919\pi\)
\(242\) −3549.85 1709.52i −0.942946 0.454099i
\(243\) 1331.04 + 1235.03i 0.351385 + 0.326037i
\(244\) −587.109 + 88.4925i −0.154040 + 0.0232178i
\(245\) 216.774 2892.64i 0.0565272 0.754303i
\(246\) −59.8820 + 152.577i −0.0155201 + 0.0395445i
\(247\) −1005.71 4406.31i −0.259077 1.13509i
\(248\) −19.3599 258.340i −0.00495708 0.0661477i
\(249\) −532.586 164.281i −0.135547 0.0418108i
\(250\) 3846.60 1852.42i 0.973121 0.468630i
\(251\) 2310.68 4002.22i 0.581072 1.00645i −0.414280 0.910149i \(-0.635967\pi\)
0.995353 0.0962973i \(-0.0306999\pi\)
\(252\) −86.6994 150.168i −0.0216728 0.0375384i
\(253\) 22.4767 + 15.3243i 0.00558536 + 0.00380803i
\(254\) 137.804 603.757i 0.0340416 0.149146i
\(255\) −611.964 92.2388i −0.150285 0.0226518i
\(256\) 728.559 + 913.585i 0.177871 + 0.223043i
\(257\) 731.225 0.177481 0.0887404 0.996055i \(-0.471716\pi\)
0.0887404 + 0.996055i \(0.471716\pi\)
\(258\) −413.329 + 588.785i −0.0997393 + 0.142078i
\(259\) 1618.34 0.388257
\(260\) −144.410 181.084i −0.0344459 0.0431937i
\(261\) 1230.73 + 185.503i 0.291879 + 0.0439936i
\(262\) 1397.67 6123.59i 0.329574 1.44396i
\(263\) 3827.66 + 2609.65i 0.897427 + 0.611856i 0.921723 0.387849i \(-0.126782\pi\)
−0.0242954 + 0.999705i \(0.507734\pi\)
\(264\) 5.55763 + 9.62610i 0.00129564 + 0.00224411i
\(265\) −2416.93 + 4186.25i −0.560268 + 0.970412i
\(266\) −3707.31 + 1785.35i −0.854548 + 0.411529i
\(267\) 261.781 + 80.7488i 0.0600028 + 0.0185084i
\(268\) −47.2925 631.075i −0.0107793 0.143840i
\(269\) −1434.60 6285.40i −0.325164 1.42464i −0.828229 0.560390i \(-0.810651\pi\)
0.503065 0.864249i \(-0.332206\pi\)
\(270\) 535.327 1363.99i 0.120663 0.307444i
\(271\) −340.861 + 4548.48i −0.0764053 + 1.01956i 0.818851 + 0.574006i \(0.194612\pi\)
−0.895256 + 0.445552i \(0.853007\pi\)
\(272\) 4580.73 690.433i 1.02113 0.153911i
\(273\) −152.042 141.074i −0.0337069 0.0312754i
\(274\) −6241.66 3005.82i −1.37618 0.662732i
\(275\) −4.33211 + 2.95358i −0.000949949 + 0.000647665i
\(276\) −10.9117 27.8026i −0.00237974 0.00606347i
\(277\) −7150.91 + 2205.76i −1.55111 + 0.478453i −0.947749 0.319018i \(-0.896647\pi\)
−0.603357 + 0.797471i \(0.706171\pi\)
\(278\) −4888.07 + 4535.47i −1.05456 + 0.978487i
\(279\) 198.048 248.344i 0.0424975 0.0532902i
\(280\) 1238.78 1553.38i 0.264397 0.331544i
\(281\) 1485.60 1378.44i 0.315386 0.292636i −0.506555 0.862207i \(-0.669081\pi\)
0.821942 + 0.569572i \(0.192891\pi\)
\(282\) −513.007 + 158.242i −0.108330 + 0.0334154i
\(283\) 1220.60 + 3110.04i 0.256386 + 0.653260i 0.999880 0.0154820i \(-0.00492826\pi\)
−0.743494 + 0.668742i \(0.766833\pi\)
\(284\) −258.374 + 176.157i −0.0539848 + 0.0368062i
\(285\) −1352.25 651.211i −0.281055 0.135349i
\(286\) 36.5855 + 33.9464i 0.00756414 + 0.00701850i
\(287\) −546.540 + 82.3777i −0.112409 + 0.0169429i
\(288\) −67.9347 + 906.525i −0.0138996 + 0.185478i
\(289\) −174.195 + 443.842i −0.0354559 + 0.0903402i
\(290\) −336.806 1475.64i −0.0681997 0.298803i
\(291\) −15.0886 201.343i −0.00303954 0.0405599i
\(292\) 386.884 + 119.338i 0.0775366 + 0.0239169i
\(293\) −3006.94 + 1448.07i −0.599548 + 0.288727i −0.708937 0.705272i \(-0.750825\pi\)
0.109389 + 0.993999i \(0.465111\pi\)
\(294\) 343.127 594.313i 0.0680666 0.117895i
\(295\) 904.055 + 1565.87i 0.178428 + 0.309046i
\(296\) −3328.43 2269.28i −0.653584 0.445606i
\(297\) −6.15105 + 26.9495i −0.00120175 + 0.00526522i
\(298\) 5000.91 + 753.766i 0.972131 + 0.146525i
\(299\) 787.822 + 987.897i 0.152378 + 0.191076i
\(300\) 5.75654 0.00110785
\(301\) −2416.35 214.334i −0.462711 0.0410432i
\(302\) −1664.30 −0.317117
\(303\) 849.182 + 1064.84i 0.161004 + 0.201893i
\(304\) 11109.1 + 1674.43i 2.09589 + 0.315905i
\(305\) 1856.17 8132.42i 0.348472 1.52676i
\(306\) 4278.65 + 2917.13i 0.799327 + 0.544972i
\(307\) 4041.72 + 7000.47i 0.751379 + 1.30143i 0.947154 + 0.320778i \(0.103944\pi\)
−0.195775 + 0.980649i \(0.562722\pi\)
\(308\) 1.98903 3.44510i 0.000367973 0.000637348i
\(309\) −567.842 + 273.458i −0.104542 + 0.0503447i
\(310\) −369.124 113.860i −0.0676285 0.0208606i
\(311\) 66.0986 + 882.025i 0.0120518 + 0.160820i 0.999982 + 0.00592328i \(0.00188545\pi\)
−0.987931 + 0.154897i \(0.950496\pi\)
\(312\) 114.885 + 503.343i 0.0208464 + 0.0913340i
\(313\) −217.307 + 553.690i −0.0392426 + 0.0999886i −0.949152 0.314819i \(-0.898056\pi\)
0.909909 + 0.414808i \(0.136151\pi\)
\(314\) −573.909 + 7658.29i −0.103145 + 1.37638i
\(315\) 2408.90 363.083i 0.430877 0.0649442i
\(316\) 408.925 + 379.427i 0.0727970 + 0.0675458i
\(317\) −1866.97 899.087i −0.330788 0.159299i 0.261116 0.965307i \(-0.415909\pi\)
−0.591904 + 0.806008i \(0.701624\pi\)
\(318\) −944.873 + 644.204i −0.166622 + 0.113601i
\(319\) 10.4319 + 26.5802i 0.00183096 + 0.00466521i
\(320\) −4677.41 + 1442.79i −0.817110 + 0.252045i
\(321\) 997.257 925.319i 0.173400 0.160892i
\(322\) 717.256 899.411i 0.124134 0.155659i
\(323\) 6707.87 8411.41i 1.15553 1.44899i
\(324\) −376.673 + 349.501i −0.0645872 + 0.0599282i
\(325\) −232.718 + 71.7840i −0.0397196 + 0.0122519i
\(326\) −1398.18 3562.50i −0.237540 0.605241i
\(327\) −1017.55 + 693.754i −0.172081 + 0.117323i
\(328\) 1239.58 + 596.950i 0.208672 + 0.100491i
\(329\) −1327.08 1231.35i −0.222384 0.206342i
\(330\) 16.3886 2.47018i 0.00273382 0.000412058i
\(331\) 241.226 3218.94i 0.0400574 0.534529i −0.940692 0.339260i \(-0.889823\pi\)
0.980750 0.195268i \(-0.0625577\pi\)
\(332\) 181.401 462.203i 0.0299870 0.0764057i
\(333\) −1099.10 4815.46i −0.180871 0.792450i
\(334\) 880.543 + 11750.0i 0.144255 + 1.92495i
\(335\) 8495.94 + 2620.65i 1.38562 + 0.427407i
\(336\) 464.506 223.694i 0.0754193 0.0363200i
\(337\) 2265.89 3924.63i 0.366264 0.634387i −0.622715 0.782449i \(-0.713970\pi\)
0.988978 + 0.148062i \(0.0473035\pi\)
\(338\) −2093.59 3626.20i −0.336911 0.583547i
\(339\) 614.045 + 418.649i 0.0983785 + 0.0670734i
\(340\) 122.685 537.518i 0.0195692 0.0857382i
\(341\) 7.20590 + 1.08611i 0.00114434 + 0.000172482i
\(342\) 7830.23 + 9818.80i 1.23804 + 1.55246i
\(343\) 5265.02 0.828817
\(344\) 4669.15 + 3829.10i 0.731812 + 0.600149i
\(345\) 419.609 0.0654811
\(346\) −6542.78 8204.39i −1.01660 1.27477i
\(347\) −7811.28 1177.36i −1.20845 0.182144i −0.486243 0.873823i \(-0.661633\pi\)
−0.722205 + 0.691679i \(0.756871\pi\)
\(348\) 6.97598 30.5637i 0.00107457 0.00470801i
\(349\) −68.0928 46.4249i −0.0104439 0.00712053i 0.558087 0.829783i \(-0.311536\pi\)
−0.568531 + 0.822662i \(0.692488\pi\)
\(350\) 110.862 + 192.019i 0.0169309 + 0.0293252i
\(351\) −641.979 + 1111.94i −0.0976247 + 0.169091i
\(352\) −18.7902 + 9.04888i −0.00284523 + 0.00137019i
\(353\) −586.854 181.021i −0.0884847 0.0272939i 0.250197 0.968195i \(-0.419505\pi\)
−0.338681 + 0.940901i \(0.609981\pi\)
\(354\) 31.9664 + 426.562i 0.00479943 + 0.0640439i
\(355\) −977.608 4283.18i −0.146158 0.640360i
\(356\) −89.1640 + 227.186i −0.0132744 + 0.0338226i
\(357\) 36.8957 492.339i 0.00546983 0.0729898i
\(358\) −9863.99 + 1486.76i −1.45622 + 0.219491i
\(359\) −9733.58 9031.44i −1.43097 1.32775i −0.863496 0.504356i \(-0.831730\pi\)
−0.567475 0.823391i \(-0.692080\pi\)
\(360\) −5463.50 2631.08i −0.799865 0.385195i
\(361\) 15890.7 10834.1i 2.31676 1.57954i
\(362\) 3255.72 + 8295.43i 0.472698 + 1.20441i
\(363\) 1095.57 337.938i 0.158409 0.0488627i
\(364\) 135.450 125.679i 0.0195041 0.0180972i
\(365\) −3546.48 + 4447.14i −0.508578 + 0.637737i
\(366\) 1230.41 1542.89i 0.175723 0.220350i
\(367\) 1488.83 1381.44i 0.211762 0.196486i −0.567159 0.823608i \(-0.691958\pi\)
0.778921 + 0.627122i \(0.215767\pi\)
\(368\) −3001.35 + 925.793i −0.425152 + 0.131142i
\(369\) 616.304 + 1570.32i 0.0869472 + 0.221538i
\(370\) −4962.94 + 3383.67i −0.697326 + 0.475429i
\(371\) −3474.41 1673.19i −0.486205 0.234144i
\(372\) −5.86500 5.44193i −0.000817436 0.000758470i
\(373\) −9341.00 + 1407.93i −1.29667 + 0.195442i −0.760871 0.648903i \(-0.775228\pi\)
−0.535800 + 0.844345i \(0.679990\pi\)
\(374\) −8.87814 + 118.471i −0.00122748 + 0.0163796i
\(375\) −453.880 + 1156.47i −0.0625020 + 0.159253i
\(376\) 1002.76 + 4393.38i 0.137536 + 0.602583i
\(377\) 99.1139 + 1322.58i 0.0135401 + 0.180680i
\(378\) 1117.02 + 344.555i 0.151993 + 0.0468836i
\(379\) −8524.02 + 4104.95i −1.15528 + 0.556352i −0.910614 0.413257i \(-0.864391\pi\)
−0.244662 + 0.969609i \(0.578677\pi\)
\(380\) 668.551 1157.96i 0.0902525 0.156322i
\(381\) 90.1022 + 156.062i 0.0121157 + 0.0209850i
\(382\) −4332.87 2954.10i −0.580337 0.395667i
\(383\) 1095.65 4800.36i 0.146175 0.640436i −0.847752 0.530393i \(-0.822044\pi\)
0.993927 0.110042i \(-0.0350986\pi\)
\(384\) −1381.06 208.161i −0.183534 0.0276633i
\(385\) 34.8459 + 43.6954i 0.00461276 + 0.00578421i
\(386\) −10571.5 −1.39398
\(387\) 1003.31 + 7335.56i 0.131785 + 0.963534i
\(388\) 179.874 0.0235354
\(389\) 470.069 + 589.448i 0.0612685 + 0.0768283i 0.811521 0.584323i \(-0.198640\pi\)
−0.750253 + 0.661151i \(0.770068\pi\)
\(390\) 761.226 + 114.736i 0.0988364 + 0.0148972i
\(391\) −669.302 + 2932.40i −0.0865679 + 0.379279i
\(392\) −4759.45 3244.94i −0.613237 0.418098i
\(393\) 913.859 + 1582.85i 0.117298 + 0.203166i
\(394\) 5832.56 10102.3i 0.745787 1.29174i
\(395\) −7061.06 + 3400.43i −0.899444 + 0.433149i
\(396\) −11.6020 3.57873i −0.00147228 0.000454137i
\(397\) 939.413 + 12535.6i 0.118760 + 1.58474i 0.664823 + 0.747001i \(0.268507\pi\)
−0.546063 + 0.837744i \(0.683874\pi\)
\(398\) −1690.89 7408.26i −0.212956 0.933022i
\(399\) 437.445 1114.59i 0.0548863 0.139848i
\(400\) 45.2393 603.676i 0.00565491 0.0754595i
\(401\) 3980.03 599.894i 0.495644 0.0747064i 0.103537 0.994626i \(-0.466984\pi\)
0.392108 + 0.919919i \(0.371746\pi\)
\(402\) 1541.90 + 1430.67i 0.191301 + 0.177501i
\(403\) 304.964 + 146.863i 0.0376956 + 0.0181532i
\(404\) −1002.52 + 683.506i −0.123458 + 0.0841726i
\(405\) −2637.41 6720.02i −0.323590 0.824495i
\(406\) 1153.85 355.915i 0.141046 0.0435068i
\(407\) 83.0665 77.0744i 0.0101166 0.00938682i
\(408\) −766.256 + 960.854i −0.0929787 + 0.116592i
\(409\) 7005.54 8784.67i 0.846948 1.06204i −0.150354 0.988632i \(-0.548041\pi\)
0.997302 0.0734072i \(-0.0233873\pi\)
\(410\) 1503.83 1395.35i 0.181144 0.168077i
\(411\) 1926.33 594.193i 0.231189 0.0713123i
\(412\) −205.131 522.667i −0.0245294 0.0624998i
\(413\) −1191.81 + 812.562i −0.141998 + 0.0968125i
\(414\) −3163.38 1523.40i −0.375535 0.180848i
\(415\) 5113.60 + 4744.73i 0.604860 + 0.561228i
\(416\) −957.890 + 144.379i −0.112895 + 0.0170162i
\(417\) 145.002 1934.92i 0.0170283 0.227226i
\(418\) −105.261 + 268.202i −0.0123170 + 0.0313832i
\(419\) 611.878 + 2680.81i 0.0713418 + 0.312569i 0.997991 0.0633588i \(-0.0201813\pi\)
−0.926649 + 0.375928i \(0.877324\pi\)
\(420\) −4.58548 61.1890i −0.000532735 0.00710886i
\(421\) 3689.37 + 1138.02i 0.427100 + 0.131743i 0.500850 0.865534i \(-0.333021\pi\)
−0.0737505 + 0.997277i \(0.523497\pi\)
\(422\) 10117.3 4872.25i 1.16707 0.562032i
\(423\) −2762.67 + 4785.08i −0.317554 + 0.550020i
\(424\) 4799.60 + 8313.15i 0.549738 + 0.952175i
\(425\) −478.988 326.568i −0.0546690 0.0372727i
\(426\) 231.280 1013.30i 0.0263041 0.115246i
\(427\) 6580.30 + 991.820i 0.745768 + 0.112406i
\(428\) 755.645 + 947.549i 0.0853399 + 0.107013i
\(429\) −14.5228 −0.00163442
\(430\) 7858.33 4394.89i 0.881307 0.492884i
\(431\) 11780.5 1.31659 0.658293 0.752762i \(-0.271279\pi\)
0.658293 + 0.752762i \(0.271279\pi\)
\(432\) −1989.91 2495.27i −0.221620 0.277902i
\(433\) 9162.09 + 1380.96i 1.01686 + 0.153267i 0.636263 0.771472i \(-0.280479\pi\)
0.380600 + 0.924740i \(0.375717\pi\)
\(434\) 68.5734 300.440i 0.00758439 0.0332294i
\(435\) 363.907 + 248.107i 0.0401103 + 0.0273468i
\(436\) −548.575 950.160i −0.0602569 0.104368i
\(437\) −3647.25 + 6317.22i −0.399249 + 0.691519i
\(438\) −1212.41 + 583.868i −0.132263 + 0.0636947i
\(439\) 1191.84 + 367.635i 0.129575 + 0.0399687i 0.358865 0.933390i \(-0.383164\pi\)
−0.229289 + 0.973358i \(0.573640\pi\)
\(440\) −10.3964 138.730i −0.00112643 0.0150311i
\(441\) −1571.65 6885.83i −0.169706 0.743530i
\(442\) −2016.03 + 5136.76i −0.216952 + 0.552785i
\(443\) 97.3712 1299.33i 0.0104430 0.139352i −0.989545 0.144223i \(-0.953932\pi\)
0.999988 + 0.00487144i \(0.00155063\pi\)
\(444\) −123.021 + 18.5425i −0.0131494 + 0.00198195i
\(445\) −2513.48 2332.17i −0.267754 0.248439i
\(446\) 4065.43 + 1957.81i 0.431622 + 0.207858i
\(447\) −1215.93 + 829.007i −0.128661 + 0.0877197i
\(448\) −1426.65 3635.04i −0.150453 0.383347i
\(449\) 778.201 240.043i 0.0817941 0.0252301i −0.253588 0.967312i \(-0.581611\pi\)
0.335382 + 0.942082i \(0.391135\pi\)
\(450\) 496.071 460.286i 0.0519666 0.0482180i
\(451\) −24.1297 + 30.2577i −0.00251934 + 0.00315915i
\(452\) −412.800 + 517.635i −0.0429568 + 0.0538662i
\(453\) 355.010 329.401i 0.0368208 0.0341647i
\(454\) 10338.8 3189.09i 1.06877 0.329673i
\(455\) 948.403 + 2416.49i 0.0977183 + 0.248982i
\(456\) −2462.60 + 1678.97i −0.252899 + 0.172424i
\(457\) −9772.18 4706.03i −1.00027 0.481705i −0.139240 0.990259i \(-0.544466\pi\)
−0.861030 + 0.508554i \(0.830180\pi\)
\(458\) 881.869 + 818.255i 0.0899717 + 0.0834815i
\(459\) −3022.21 + 455.525i −0.307331 + 0.0463227i
\(460\) −27.9355 + 372.773i −0.00283152 + 0.0377840i
\(461\) −6237.52 + 15892.9i −0.630174 + 1.60566i 0.156074 + 0.987745i \(0.450116\pi\)
−0.786248 + 0.617912i \(0.787979\pi\)
\(462\) 2.94216 + 12.8905i 0.000296281 + 0.00129809i
\(463\) −58.0732 774.933i −0.00582914 0.0777845i 0.993531 0.113565i \(-0.0362272\pi\)
−0.999360 + 0.0357810i \(0.988608\pi\)
\(464\) −3150.33 971.749i −0.315195 0.0972249i
\(465\) 101.273 48.7705i 0.0100998 0.00486382i
\(466\) 3252.33 5633.20i 0.323308 0.559985i
\(467\) 2377.74 + 4118.37i 0.235608 + 0.408084i 0.959449 0.281882i \(-0.0909586\pi\)
−0.723841 + 0.689966i \(0.757625\pi\)
\(468\) −465.957 317.684i −0.0460232 0.0313781i
\(469\) −1578.32 + 6915.07i −0.155394 + 0.680827i
\(470\) 6644.28 + 1001.46i 0.652080 + 0.0982853i
\(471\) −1393.33 1747.18i −0.136308 0.170925i
\(472\) 3590.59 0.350149
\(473\) −134.235 + 104.079i −0.0130489 + 0.0101174i
\(474\) −1854.10 −0.179666
\(475\) −876.582 1099.20i −0.0846744 0.106178i
\(476\) 434.929 + 65.5550i 0.0418801 + 0.00631242i
\(477\) −2619.01 + 11474.7i −0.251397 + 1.10144i
\(478\) 2143.52 + 1461.43i 0.205110 + 0.139841i
\(479\) −1601.36 2773.63i −0.152751 0.264573i 0.779487 0.626419i \(-0.215480\pi\)
−0.932238 + 0.361846i \(0.882147\pi\)
\(480\) −160.846 + 278.593i −0.0152949 + 0.0264916i
\(481\) 4742.13 2283.69i 0.449527 0.216481i
\(482\) 16456.2 + 5076.08i 1.55511 + 0.479687i
\(483\) 25.0159 + 333.814i 0.00235665 + 0.0314473i
\(484\) 227.281 + 995.782i 0.0213449 + 0.0935182i
\(485\) −923.246 + 2352.39i −0.0864380 + 0.220241i
\(486\) 401.784 5361.44i 0.0375006 0.500411i
\(487\) −7402.30 + 1115.72i −0.688769 + 0.103815i −0.484096 0.875015i \(-0.660851\pi\)
−0.204673 + 0.978830i \(0.565613\pi\)
\(488\) −12142.9 11267.0i −1.12640 1.04515i
\(489\) 1003.34 + 483.185i 0.0927868 + 0.0446838i
\(490\) −7096.71 + 4838.45i −0.654279 + 0.446080i
\(491\) −6656.65 16960.9i −0.611834 1.55893i −0.814800 0.579742i \(-0.803153\pi\)
0.202966 0.979186i \(-0.434942\pi\)
\(492\) 40.6026 12.5242i 0.00372054 0.00114763i
\(493\) −2314.33 + 2147.39i −0.211425 + 0.196173i
\(494\) −8343.96 + 10463.0i −0.759945 + 0.952941i
\(495\) 106.353 133.362i 0.00965695 0.0121094i
\(496\) −616.775 + 572.284i −0.0558347 + 0.0518071i
\(497\) 3349.15 1033.07i 0.302273 0.0932389i
\(498\) 602.927 + 1536.23i 0.0542526 + 0.138233i
\(499\) −4688.54 + 3196.59i −0.420617 + 0.286772i −0.755074 0.655639i \(-0.772399\pi\)
0.334458 + 0.942411i \(0.391447\pi\)
\(500\) −997.169 480.211i −0.0891895 0.0429514i
\(501\) −2513.42 2332.12i −0.224135 0.207967i
\(502\) −13531.1 + 2039.48i −1.20303 + 0.181328i
\(503\) 1121.24 14961.9i 0.0993907 1.32628i −0.695062 0.718950i \(-0.744623\pi\)
0.794453 0.607326i \(-0.207758\pi\)
\(504\) 1767.40 4503.27i 0.156203 0.397999i
\(505\) −3793.23 16619.2i −0.334250 1.46445i
\(506\) −6.01953 80.3250i −0.000528855 0.00705708i
\(507\) 1164.29 + 359.135i 0.101988 + 0.0314591i
\(508\) −144.641 + 69.6555i −0.0126327 + 0.00608359i
\(509\) −7386.98 + 12794.6i −0.643266 + 1.11417i 0.341433 + 0.939906i \(0.389088\pi\)
−0.984699 + 0.174263i \(0.944246\pi\)
\(510\) 916.251 + 1586.99i 0.0795535 + 0.137791i
\(511\) −3749.30 2556.23i −0.324577 0.221293i
\(512\) −2115.67 + 9269.38i −0.182618 + 0.800102i
\(513\) −7329.42 1104.73i −0.630803 0.0950782i
\(514\) −1349.96 1692.80i −0.115845 0.145265i
\(515\) 7888.32 0.674953
\(516\) 186.140 11.3928i 0.0158805 0.000971980i
\(517\) −126.760 −0.0107832
\(518\) −2987.71 3746.47i −0.253422 0.317781i
\(519\) 3019.47 + 455.112i 0.255376 + 0.0384917i
\(520\) 1437.90 6299.86i 0.121262 0.531283i
\(521\) 9996.60 + 6815.57i 0.840612 + 0.573120i 0.905294 0.424786i \(-0.139651\pi\)
−0.0646815 + 0.997906i \(0.520603\pi\)
\(522\) −1842.69 3191.63i −0.154506 0.267612i
\(523\) −55.9402 + 96.8912i −0.00467704 + 0.00810087i −0.868354 0.495944i \(-0.834822\pi\)
0.863677 + 0.504045i \(0.168155\pi\)
\(524\) −1467.02 + 706.478i −0.122303 + 0.0588982i
\(525\) −61.6527 19.0173i −0.00512523 0.00158092i
\(526\) −1025.09 13678.9i −0.0849737 1.13390i
\(527\) 179.292 + 785.531i 0.0148199 + 0.0649303i
\(528\) 13.1887 33.6043i 0.00108705 0.00276977i
\(529\) −756.840 + 10099.3i −0.0622044 + 0.830059i
\(530\) 14153.3 2133.26i 1.15996 0.174836i
\(531\) 3227.25 + 2994.45i 0.263749 + 0.244723i
\(532\) 961.061 + 462.822i 0.0783219 + 0.0377179i
\(533\) −1485.25 + 1012.63i −0.120701 + 0.0822922i
\(534\) −296.356 755.102i −0.0240160 0.0611919i
\(535\) −16270.6 + 5018.81i −1.31484 + 0.405574i
\(536\) 12942.6 12009.0i 1.04298 0.967743i
\(537\) 1809.82 2269.45i 0.145437 0.182372i
\(538\) −11902.3 + 14925.0i −0.953799 + 1.19603i
\(539\) 118.780 110.212i 0.00949207 0.00880735i
\(540\) −362.975 + 111.963i −0.0289258 + 0.00892243i
\(541\) −1159.42 2954.15i −0.0921391 0.234767i 0.877373 0.479808i \(-0.159294\pi\)
−0.969513 + 0.245041i \(0.921198\pi\)
\(542\) 11159.1 7608.12i 0.884360 0.602946i
\(543\) −2336.33 1125.12i −0.184643 0.0889196i
\(544\) −1690.37 1568.43i −0.133224 0.123614i
\(545\) 15241.9 2297.34i 1.19796 0.180564i
\(546\) −45.8948 + 612.424i −0.00359728 + 0.0480024i
\(547\) 3642.55 9281.07i 0.284725 0.725466i −0.714930 0.699196i \(-0.753542\pi\)
0.999655 0.0262705i \(-0.00836314\pi\)
\(548\) 399.625 + 1750.87i 0.0311517 + 0.136485i
\(549\) −1517.80 20253.7i −0.117993 1.57451i
\(550\) 14.8354 + 4.57610i 0.00115015 + 0.000354774i
\(551\) −6898.36 + 3322.07i −0.533357 + 0.256851i
\(552\) 416.634 721.631i 0.0321252 0.0556425i
\(553\) −3126.12 5414.61i −0.240391 0.416370i
\(554\) 18308.1 + 12482.2i 1.40404 + 0.957256i
\(555\) 388.937 1704.05i 0.0297468 0.130329i
\(556\) 1709.29 + 257.635i 0.130378 + 0.0196513i
\(557\) 7571.54 + 9494.41i 0.575972 + 0.722246i 0.981420 0.191872i \(-0.0614559\pi\)
−0.405448 + 0.914118i \(0.632884\pi\)
\(558\) −940.548 −0.0713558
\(559\) −7382.95 + 2781.74i −0.558614 + 0.210474i
\(560\) −6452.80 −0.486930
\(561\) −21.5542 27.0281i −0.00162214 0.00203409i
\(562\) −5933.76 894.370i −0.445374 0.0671294i
\(563\) −3260.52 + 14285.3i −0.244076 + 1.06937i 0.693191 + 0.720754i \(0.256204\pi\)
−0.937267 + 0.348612i \(0.886653\pi\)
\(564\) 114.989 + 78.3983i 0.00858496 + 0.00585313i
\(565\) −4650.84 8055.48i −0.346305 0.599817i
\(566\) 4946.36 8567.34i 0.367334 0.636240i
\(567\) 5188.79 2498.79i 0.384318 0.185078i
\(568\) −8336.78 2571.55i −0.615851 0.189965i
\(569\) 1288.18 + 17189.6i 0.0949092 + 1.26648i 0.817796 + 0.575509i \(0.195196\pi\)
−0.722886 + 0.690967i \(0.757185\pi\)
\(570\) 988.916 + 4332.73i 0.0726687 + 0.318382i
\(571\) −1488.72 + 3793.20i −0.109109 + 0.278004i −0.974991 0.222243i \(-0.928662\pi\)
0.865883 + 0.500247i \(0.166757\pi\)
\(572\) 0.966855 12.9018i 7.06752e−5 0.000943096i
\(573\) 1508.93 227.434i 0.110011 0.0165815i
\(574\) 1199.71 + 1113.17i 0.0872384 + 0.0809454i
\(575\) 354.135 + 170.542i 0.0256843 + 0.0123689i
\(576\) −9847.36 + 6713.82i −0.712338 + 0.485664i
\(577\) 1723.11 + 4390.41i 0.124322 + 0.316768i 0.979462 0.201630i \(-0.0646238\pi\)
−0.855139 + 0.518398i \(0.826529\pi\)
\(578\) 1349.09 416.139i 0.0970844 0.0299466i
\(579\) 2255.00 2092.34i 0.161856 0.150181i
\(580\) −244.641 + 306.771i −0.0175141 + 0.0219620i
\(581\) −3469.75 + 4350.93i −0.247762 + 0.310683i
\(582\) −438.256 + 406.642i −0.0312135 + 0.0289619i
\(583\) −258.022 + 79.5892i −0.0183296 + 0.00565394i
\(584\) 4126.73 + 10514.7i 0.292407 + 0.745040i
\(585\) 6546.31 4463.20i 0.462661 0.315437i
\(586\) 8903.60 + 4287.75i 0.627652 + 0.302261i
\(587\) −5724.15 5311.23i −0.402489 0.373455i 0.452795 0.891615i \(-0.350427\pi\)
−0.855284 + 0.518160i \(0.826617\pi\)
\(588\) −175.913 + 26.5147i −0.0123377 + 0.00185960i
\(589\) −146.026 + 1948.58i −0.0102155 + 0.136316i
\(590\) 1955.98 4983.75i 0.136485 0.347759i
\(591\) 755.329 + 3309.31i 0.0525720 + 0.230333i
\(592\) 977.716 + 13046.7i 0.0678782 + 0.905771i
\(593\) 5145.61 + 1587.21i 0.356332 + 0.109914i 0.467753 0.883859i \(-0.345064\pi\)
−0.111420 + 0.993773i \(0.535540\pi\)
\(594\) 73.7443 35.5134i 0.00509388 0.00245308i
\(595\) −3089.71 + 5351.53i −0.212883 + 0.368725i
\(596\) −655.525 1135.40i −0.0450526 0.0780334i
\(597\) 1826.94 + 1245.59i 0.125246 + 0.0853913i
\(598\) 832.549 3647.64i 0.0569322 0.249436i
\(599\) −1421.88 214.314i −0.0969893 0.0146188i 0.100368 0.994950i \(-0.467998\pi\)
−0.197358 + 0.980332i \(0.563236\pi\)
\(600\) 100.134 + 125.564i 0.00681326 + 0.00854355i
\(601\) 12358.1 0.838767 0.419383 0.907809i \(-0.362246\pi\)
0.419383 + 0.907809i \(0.362246\pi\)
\(602\) 3964.78 + 5989.58i 0.268426 + 0.405510i
\(603\) 21648.1 1.46199
\(604\) 269.000 + 337.315i 0.0181216 + 0.0227238i
\(605\) −14189.4 2138.71i −0.953523 0.143720i
\(606\) 897.392 3931.73i 0.0601552 0.263557i
\(607\) −22593.9 15404.2i −1.51080 1.03005i −0.983612 0.180301i \(-0.942293\pi\)
−0.527191 0.849747i \(-0.676755\pi\)
\(608\) −2796.15 4843.08i −0.186511 0.323047i
\(609\) −175.683 + 304.293i −0.0116897 + 0.0202472i
\(610\) −22253.4 + 10716.7i −1.47707 + 0.711322i
\(611\) −5626.26 1735.47i −0.372527 0.114909i
\(612\) −100.320 1338.68i −0.00662615 0.0884198i
\(613\) 5488.11 + 24045.0i 0.361603 + 1.58429i 0.749126 + 0.662427i \(0.230474\pi\)
−0.387523 + 0.921860i \(0.626669\pi\)
\(614\) 8744.51 22280.6i 0.574755 1.46445i
\(615\) −44.6103 + 595.284i −0.00292498 + 0.0390311i
\(616\) 109.745 16.5414i 0.00717817 0.00108193i
\(617\) 9561.78 + 8872.04i 0.623894 + 0.578889i 0.927461 0.373921i \(-0.121987\pi\)
−0.303566 + 0.952810i \(0.598177\pi\)
\(618\) 1681.39 + 809.713i 0.109442 + 0.0527046i
\(619\) 12365.1 8430.40i 0.802902 0.547410i −0.0909056 0.995860i \(-0.528976\pi\)
0.893808 + 0.448450i \(0.148024\pi\)
\(620\) 36.5846 + 93.2161i 0.00236980 + 0.00603814i
\(621\) 1980.19 610.808i 0.127959 0.0394700i
\(622\) 1919.87 1781.38i 0.123762 0.114834i
\(623\) 1705.48 2138.61i 0.109677 0.137530i
\(624\) 1045.45 1310.96i 0.0670700 0.0841031i
\(625\) 10600.9 9836.15i 0.678454 0.629514i
\(626\) 1682.99 519.132i 0.107453 0.0331449i
\(627\) −30.6299 78.0436i −0.00195094 0.00497091i
\(628\) 1644.92 1121.49i 0.104522 0.0712616i
\(629\) 11288.2 + 5436.12i 0.715566 + 0.344598i
\(630\) −5287.76 4906.32i −0.334396 0.310274i
\(631\) 25017.1 3770.72i 1.57831 0.237892i 0.699348 0.714781i \(-0.253474\pi\)
0.878963 + 0.476889i \(0.158236\pi\)
\(632\) −1163.04 + 15519.7i −0.0732015 + 0.976807i
\(633\) −1193.80 + 3041.75i −0.0749592 + 0.190993i
\(634\) 1365.34 + 5981.93i 0.0855275 + 0.374720i
\(635\) −168.550 2249.14i −0.0105334 0.140558i
\(636\) 283.285 + 87.3819i 0.0176619 + 0.00544798i
\(637\) 6780.96 3265.54i 0.421776 0.203117i
\(638\) 42.2743 73.2213i 0.00262329 0.00454367i
\(639\) −5348.56 9263.97i −0.331120 0.573517i
\(640\) 14443.2 + 9847.20i 0.892058 + 0.608195i
\(641\) 2436.63 10675.6i 0.150142 0.657817i −0.842700 0.538384i \(-0.819035\pi\)
0.992842 0.119433i \(-0.0381077\pi\)
\(642\) −3983.22 600.374i −0.244868 0.0369079i
\(643\) −14379.1 18030.8i −0.881889 1.10585i −0.993694 0.112124i \(-0.964235\pi\)
0.111805 0.993730i \(-0.464337\pi\)
\(644\) −298.220 −0.0182477
\(645\) −806.410 + 2492.81i −0.0492285 + 0.152177i
\(646\) −31856.3 −1.94020
\(647\) 6208.09 + 7784.70i 0.377226 + 0.473027i 0.933812 0.357763i \(-0.116461\pi\)
−0.556586 + 0.830790i \(0.687889\pi\)
\(648\) −14175.6 2136.63i −0.859369 0.129529i
\(649\) −22.4747 + 98.4681i −0.00135934 + 0.00595564i
\(650\) 595.816 + 406.220i 0.0359536 + 0.0245127i
\(651\) 44.8364 + 77.6588i 0.00269935 + 0.00467541i
\(652\) −496.051 + 859.185i −0.0297958 + 0.0516078i
\(653\) 26864.3 12937.2i 1.60993 0.775300i 0.610072 0.792346i \(-0.291140\pi\)
0.999855 + 0.0170460i \(0.00542617\pi\)
\(654\) 3484.61 + 1074.86i 0.208347 + 0.0642666i
\(655\) −1709.51 22811.8i −0.101979 1.36081i
\(656\) −994.304 4356.33i −0.0591784 0.259278i
\(657\) −5059.86 + 12892.3i −0.300463 + 0.765567i
\(658\) −400.588 + 5345.47i −0.0237333 + 0.316700i
\(659\) −33088.8 + 4987.33i −1.95593 + 0.294808i −0.955926 + 0.293607i \(0.905144\pi\)
−0.999999 + 0.00120110i \(0.999618\pi\)
\(660\) −3.14953 2.92234i −0.000185751 0.000172351i
\(661\) −3955.73 1904.98i −0.232769 0.112095i 0.313864 0.949468i \(-0.398376\pi\)
−0.546633 + 0.837372i \(0.684091\pi\)
\(662\) −7897.23 + 5384.24i −0.463647 + 0.316109i
\(663\) −586.642 1494.74i −0.0343639 0.0875578i
\(664\) 13237.2 4083.14i 0.773650 0.238639i
\(665\) −10985.7 + 10193.2i −0.640610 + 0.594399i
\(666\) −9118.75 + 11434.5i −0.530547 + 0.665285i
\(667\) 1334.63 1673.57i 0.0774769 0.0971530i
\(668\) 2239.14 2077.62i 0.129693 0.120338i
\(669\) −1254.69 + 387.020i −0.0725098 + 0.0223663i
\(670\) −9618.03 24506.3i −0.554592 1.41308i
\(671\) 384.991 262.483i 0.0221497 0.0151014i
\(672\) −231.220 111.350i −0.0132731 0.00639198i
\(673\) 17096.0 + 15862.8i 0.979201 + 0.908566i 0.995824 0.0912963i \(-0.0291010\pi\)
−0.0166230 + 0.999862i \(0.505292\pi\)
\(674\) −13268.8 + 1999.95i −0.758300 + 0.114295i
\(675\) −29.8474 + 398.286i −0.00170197 + 0.0227112i
\(676\) −396.562 + 1010.42i −0.0225627 + 0.0574888i
\(677\) 1201.85 + 5265.65i 0.0682288 + 0.298930i 0.997517 0.0704255i \(-0.0224357\pi\)
−0.929288 + 0.369355i \(0.879579\pi\)
\(678\) −164.449 2194.41i −0.00931506 0.124301i
\(679\) −1926.46 594.233i −0.108882 0.0335855i
\(680\) 13858.6 6673.97i 0.781551 0.376375i
\(681\) −1574.17 + 2726.54i −0.0885789 + 0.153423i
\(682\) −10.7889 18.6869i −0.000605759 0.00104921i
\(683\) −10626.3 7244.90i −0.595322 0.405884i 0.227833 0.973700i \(-0.426836\pi\)
−0.823155 + 0.567817i \(0.807788\pi\)
\(684\) 724.450 3174.02i 0.0404971 0.177429i
\(685\) −24949.1 3760.47i −1.39161 0.209752i
\(686\) −9720.07 12188.6i −0.540983 0.678371i
\(687\) −350.062 −0.0194406
\(688\) 268.085 19609.6i 0.0148556 1.08664i
\(689\) −12541.9 −0.693483
\(690\) −774.665 971.399i −0.0427406 0.0535950i
\(691\) −5017.55 756.274i −0.276232 0.0416353i 0.00946507 0.999955i \(-0.496987\pi\)
−0.285697 + 0.958320i \(0.592225\pi\)
\(692\) −605.335 + 2652.15i −0.0332535 + 0.145693i
\(693\) 112.435 + 76.6567i 0.00616312 + 0.00420194i
\(694\) 11695.3 + 20256.8i 0.639693 + 1.10798i
\(695\) −12142.7 + 21031.8i −0.662732 + 1.14789i
\(696\) 788.015 379.488i 0.0429162 0.0206673i
\(697\) −4088.94 1261.27i −0.222209 0.0685424i
\(698\) 18.2361 + 243.343i 0.000988890 + 0.0131958i
\(699\) 421.184 + 1845.33i 0.0227906 + 0.0998521i
\(700\) 20.9992 53.5051i 0.00113385 0.00288900i
\(701\) 2380.19 31761.4i 0.128243 1.71129i −0.448022 0.894023i \(-0.647871\pi\)
0.576265 0.817263i \(-0.304510\pi\)
\(702\) 3759.35 566.631i 0.202119 0.0304645i
\(703\) 22273.8 + 20667.1i 1.19498 + 1.10878i
\(704\) −246.348 118.635i −0.0131884 0.00635118i
\(705\) −1615.50 + 1101.43i −0.0863025 + 0.0588401i
\(706\) 664.363 + 1692.77i 0.0354159 + 0.0902382i
\(707\) 12995.1 4008.44i 0.691272 0.213229i
\(708\) 81.2878 75.4240i 0.00431495 0.00400369i
\(709\) 7549.85 9467.21i 0.399916 0.501479i −0.540576 0.841295i \(-0.681793\pi\)
0.940492 + 0.339816i \(0.110365\pi\)
\(710\) −8110.80 + 10170.6i −0.428722 + 0.537601i
\(711\) −13988.4 + 12979.3i −0.737841 + 0.684616i
\(712\) −6506.47 + 2006.98i −0.342472 + 0.105639i
\(713\) −199.586 508.536i −0.0104832 0.0267108i
\(714\) −1207.89 + 823.523i −0.0633110 + 0.0431647i
\(715\) 163.767 + 78.8660i 0.00856578 + 0.00412506i
\(716\) 1895.65 + 1758.90i 0.0989437 + 0.0918063i
\(717\) −746.483 + 112.514i −0.0388813 + 0.00586042i
\(718\) −2938.15 + 39206.8i −0.152717 + 2.03786i
\(719\) 2122.30 5407.52i 0.110081 0.280482i −0.865209 0.501412i \(-0.832814\pi\)
0.975290 + 0.220930i \(0.0709093\pi\)
\(720\) 4382.44 + 19200.7i 0.226839 + 0.993844i
\(721\) 470.280 + 6275.45i 0.0242914 + 0.324147i
\(722\) −54417.8 16785.7i −2.80501 0.865232i
\(723\) −4514.94 + 2174.28i −0.232244 + 0.111843i
\(724\) 1155.07 2000.65i 0.0592928 0.102698i
\(725\) 206.286 + 357.297i 0.0105673 + 0.0183030i
\(726\) −2804.93 1912.37i −0.143389 0.0977611i
\(727\) 5806.46 25439.8i 0.296217 1.29781i −0.579495 0.814976i \(-0.696750\pi\)
0.875712 0.482835i \(-0.160393\pi\)
\(728\) 5097.50 + 768.324i 0.259513 + 0.0391154i
\(729\) −10293.7 12907.9i −0.522973 0.655788i
\(730\) 16842.6 0.853933
\(731\) −16134.5 9611.73i −0.816358 0.486324i
\(732\) −511.579 −0.0258313
\(733\) 15987.6 + 20047.8i 0.805615 + 1.01021i 0.999574 + 0.0291996i \(0.00929583\pi\)
−0.193959 + 0.981010i \(0.562133\pi\)
\(734\) −5946.67 896.317i −0.299040 0.0450731i
\(735\) 556.158 2436.69i 0.0279105 0.122284i
\(736\) 1291.79 + 880.728i 0.0646957 + 0.0441088i
\(737\) 248.322 + 430.107i 0.0124112 + 0.0214969i
\(738\) 2497.51 4325.81i 0.124573 0.215766i
\(739\) 16832.4 8106.06i 0.837876 0.403500i 0.0348128 0.999394i \(-0.488917\pi\)
0.803063 + 0.595894i \(0.203202\pi\)
\(740\) 1487.95 + 458.972i 0.0739165 + 0.0228002i
\(741\) −291.014 3883.32i −0.0144274 0.192520i
\(742\) 2540.87 + 11132.3i 0.125712 + 0.550779i
\(743\) 6605.40 16830.3i 0.326149 0.831013i −0.669920 0.742433i \(-0.733672\pi\)
0.996069 0.0885803i \(-0.0282330\pi\)
\(744\) 16.6809 222.591i 0.000821978 0.0109685i
\(745\) 18213.4 2745.23i 0.895689 0.135003i
\(746\) 20504.4 + 19025.3i 1.00632 + 0.933733i
\(747\) 15302.9 + 7369.51i 0.749538 + 0.360959i
\(748\) 25.4463 17.3490i 0.00124386 0.000848050i
\(749\) −4962.65 12644.6i −0.242098 0.616855i
\(750\) 3515.17 1084.29i 0.171141 0.0527901i
\(751\) −5457.07 + 5063.42i −0.265155 + 0.246028i −0.801534 0.597950i \(-0.795982\pi\)
0.536379 + 0.843977i \(0.319792\pi\)
\(752\) 9125.14 11442.6i 0.442499 0.554877i
\(753\) 2482.65 3113.15i 0.120150 0.150663i
\(754\) 2878.82 2671.15i 0.139045 0.129015i
\(755\) −5792.11 + 1786.63i −0.279200 + 0.0861219i
\(756\) −110.710 282.085i −0.00532604 0.0135705i
\(757\) 24844.1 16938.4i