Properties

Label 43.4.g.a.24.3
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 24.3
Character \(\chi\) \(=\) 43.24
Dual form 43.4.g.a.9.3

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.84616 + 2.31501i −0.652717 + 0.818481i −0.992529 0.122013i \(-0.961065\pi\)
0.339812 + 0.940493i \(0.389637\pi\)
\(3\) 0.851997 0.128418i 0.163967 0.0247140i −0.0665457 0.997783i \(-0.521198\pi\)
0.230513 + 0.973069i \(0.425960\pi\)
\(4\) −0.170806 0.748350i −0.0213507 0.0935437i
\(5\) −8.91021 + 6.07488i −0.796954 + 0.543354i −0.891956 0.452123i \(-0.850667\pi\)
0.0950017 + 0.995477i \(0.469714\pi\)
\(6\) −1.27563 + 2.20946i −0.0867959 + 0.150335i
\(7\) 4.30159 + 7.45057i 0.232264 + 0.402293i 0.958474 0.285180i \(-0.0920533\pi\)
−0.726210 + 0.687473i \(0.758720\pi\)
\(8\) −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 −0.976732 0.214464i \(-0.931199\pi\)
0.973058 + 0.230562i \(0.0740565\pi\)
\(12\) −0.241628 0.615657i −0.00581266 0.0148104i
\(13\) 2.09097 + 27.9021i 0.0446101 + 0.595281i 0.974054 + 0.226317i \(0.0726684\pi\)
−0.929444 + 0.368964i \(0.879713\pi\)
\(14\) −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 0.888239 0.459382i \(-0.151929\pi\)
−0.103116 + 0.994669i \(0.532881\pi\)
\(18\) 28.4049 72.3746i 0.371950 0.947714i
\(19\) 154.353 + 47.6114i 1.86373 + 0.574885i 0.997115 + 0.0759104i \(0.0241863\pi\)
0.866617 + 0.498975i \(0.166290\pi\)
\(20\) 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 0.515712 0.856762i \(-0.327528\pi\)
−0.815827 + 0.578296i \(0.803718\pi\)
\(24\) −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 −0.00274959 0.999996i \(-0.500875\pi\)
−0.297381 + 0.954759i \(0.596113\pi\)
\(30\) −2.05605 27.4361i −0.0125127 0.166971i
\(31\) −4.41961 11.2610i −0.0256060 0.0652430i 0.917499 0.397738i \(-0.130205\pi\)
−0.943105 + 0.332495i \(0.892109\pi\)
\(32\) −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 −0.577823 0.816162i \(-0.696098\pi\)
0.995729 + 0.0923288i \(0.0294311\pi\)
\(38\) −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 −0.852246 0.523141i \(-0.824760\pi\)
0.699667 + 0.714469i \(0.253332\pi\)
\(42\) −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 0.994149 + 0.108022i \(0.0344517\pi\)
−0.848828 + 0.528669i \(0.822691\pi\)
\(48\) 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 0.768323 + 0.640062i \(0.221091\pi\)
−0.855138 + 0.518400i \(0.826528\pi\)
\(54\) 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 −0.593060 0.805158i \(-0.702081\pi\)
0.259731 + 0.965681i \(0.416366\pi\)
\(60\) 5.89300 + 4.01778i 0.0126797 + 0.00864488i
\(61\) 282.594 720.038i 0.593155 1.51133i −0.247015 0.969012i \(-0.579450\pi\)
0.840170 0.542323i \(-0.182455\pi\)
\(62\) 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 −0.523862 0.851803i \(-0.675509\pi\)
−0.912673 + 0.408690i \(0.865986\pi\)
\(68\) 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 −0.389942 0.920839i \(-0.627505\pi\)
0.889124 + 0.457666i \(0.151315\pi\)
\(72\) 556.032 + 83.8084i 0.910126 + 0.137179i
\(73\) 39.4167 + 525.980i 0.0631970 + 0.843305i 0.935271 + 0.353932i \(0.115155\pi\)
−0.872074 + 0.489373i \(0.837225\pi\)
\(74\) 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 0.999793 + 0.0203214i \(0.00646895\pi\)
−0.482298 + 0.876007i \(0.660198\pi\)
\(80\) −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 −0.557667 0.830065i \(-0.688303\pi\)
−0.288225 + 0.957563i \(0.593065\pi\)
\(84\) 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 0.0408795 0.999164i \(-0.486984\pi\)
0.333572 + 0.942725i \(0.391746\pi\)
\(90\) 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 −0.994859 0.101271i \(-0.967709\pi\)
0.940277 + 0.340411i \(0.110566\pi\)
\(98\) 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 0.144013 0.989576i \(-0.453999\pi\)
0.997571 0.0696595i \(-0.0221913\pi\)
\(102\) −153.099 + 73.7284i −0.148618 + 0.0715706i
\(103\) −604.376 412.057i −0.578165 0.394186i 0.238633 0.971110i \(-0.423301\pi\)
−0.816798 + 0.576924i \(0.804253\pi\)
\(104\) 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 0.992695 + 0.120652i \(0.0384985\pi\)
−0.103268 + 0.994654i \(0.532930\pi\)
\(108\) 21.9614 + 27.5387i 0.0195670 + 0.0245362i
\(109\) −1047.78 972.195i −0.920723 0.854306i 0.0689542 0.997620i \(-0.478034\pi\)
−0.989677 + 0.143314i \(0.954224\pi\)
\(110\) 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 −0.0814802 0.996675i \(-0.525965\pi\)
0.728430 + 0.685120i \(0.240250\pi\)
\(114\) −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 −0.734186 0.678948i \(-0.762436\pi\)
0.825298 + 0.564698i \(0.191007\pi\)
\(128\) −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 −0.111572 0.993756i \(-0.535589\pi\)
0.993668 0.112357i \(-0.0358399\pi\)
\(132\) 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 0.954035 0.299695i \(-0.0968850\pi\)
0.360520 + 0.932751i \(0.382599\pi\)
\(138\) 110.095 33.9597i 0.0679121 0.0209481i
\(139\) −168.290 + 2245.67i −0.102692 + 1.37033i 0.673199 + 0.739461i \(0.264920\pi\)
−0.775891 + 0.630867i \(0.782699\pi\)
\(140\) −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 0.256329 0.966590i \(-0.417487\pi\)
−0.944731 + 0.327846i \(0.893677\pi\)
\(150\) −13.8452 17.3613i −0.00753637 0.00945030i
\(151\) 350.445 + 439.444i 0.188866 + 0.236831i 0.867245 0.497882i \(-0.165889\pi\)
−0.678379 + 0.734712i \(0.737317\pi\)
\(152\) −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 −0.994698 0.102840i \(-0.967207\pi\)
0.0282183 + 0.999602i \(0.491017\pi\)
\(158\) −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 0.0165571 0.999863i \(-0.494729\pi\)
0.576923 + 0.816799i \(0.304253\pi\)
\(164\) 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 −0.543585 + 0.839354i \(0.682933\pi\)
−0.979927 + 0.199358i \(0.936114\pi\)
\(168\) −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 0.967278 + 0.253718i \(0.0816536\pi\)
−0.263913 + 0.964547i \(0.585013\pi\)
\(180\) −195.830 94.3069i −0.0810907 0.0390512i
\(181\) −2875.89 + 887.093i −1.18101 + 0.364294i −0.822245 0.569134i \(-0.807279\pi\)
−0.358766 + 0.933428i \(0.616802\pi\)
\(182\) 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 0.598238 0.801319i \(-0.295868\pi\)
0.0428885 + 0.999080i \(0.486344\pi\)
\(192\) 286.688 + 266.008i 0.107760 + 0.0999868i
\(193\) 2226.00 + 2791.32i 0.830213 + 1.04105i 0.998469 + 0.0553113i \(0.0176151\pi\)
−0.168256 + 0.985743i \(0.553813\pi\)
\(194\) −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 −0.393003 0.919537i \(-0.628564\pi\)
0.913536 0.406759i \(-0.133341\pi\)
\(198\) 38.6974 + 26.3834i 0.0138894 + 0.00946964i
\(199\) 2312.14 1113.47i 0.823633 0.396641i 0.0259098 0.999664i \(-0.491752\pi\)
0.797724 + 0.603023i \(0.206037\pi\)
\(200\) 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 −0.903617 0.428341i \(-0.859098\pi\)
0.628281 0.777986i \(-0.283759\pi\)
\(212\) 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 0.216226 0.976343i \(-0.430625\pi\)
−0.628521 + 0.777792i \(0.716340\pi\)
\(224\) −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 −0.982089 0.188418i \(-0.939664\pi\)
0.591765 0.806110i \(-0.298431\pi\)
\(228\) −7.98350 106.532i −0.00231895 0.0309442i
\(229\) −401.745 60.5534i −0.115931 0.0174737i 0.0908207 0.995867i \(-0.471051\pi\)
−0.206751 + 0.978394i \(0.566289\pi\)
\(230\) −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 −0.772541 0.634965i \(-0.781015\pi\)
0.998198 + 0.0599995i \(0.0191099\pi\)
\(234\) 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 0.179379 0.983780i \(-0.442591\pi\)
−0.405973 + 0.913885i \(0.633067\pi\)
\(240\) −236.104 + 601.584i −0.0635019 + 0.161800i
\(241\) −4805.43 3276.28i −1.28442 0.875701i −0.287785 0.957695i \(-0.592919\pi\)
−0.996633 + 0.0819935i \(0.973871\pi\)
\(242\) −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 0.995353 + 0.0962973i \(0.0306999\pi\)
−0.414280 + 0.910149i \(0.635967\pi\)
\(252\) −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 −0.0242954 0.999705i \(-0.507734\pi\)
0.921723 + 0.387849i \(0.126782\pi\)
\(264\) 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 0.503065 + 0.864249i \(0.332206\pi\)
−0.828229 + 0.560390i \(0.810651\pi\)
\(270\) 535.327 + 1363.99i 0.120663 + 0.307444i
\(271\) −340.861 4548.48i −0.0764053 1.01956i −0.895256 0.445552i \(-0.853007\pi\)
0.818851 0.574006i \(-0.194612\pi\)
\(272\) 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 −0.603357 0.797471i \(-0.706171\pi\)
−0.947749 + 0.319018i \(0.896647\pi\)
\(278\) −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 0.821942 0.569572i \(-0.192891\pi\)
−0.506555 + 0.862207i \(0.669081\pi\)
\(282\) −513.007 158.242i −0.108330 0.0334154i
\(283\) 1220.60 3110.04i 0.256386 0.653260i −0.743494 0.668742i \(-0.766833\pi\)
0.999880 + 0.0154820i \(0.00492826\pi\)
\(284\) −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 0.109389 0.993999i \(-0.465111\pi\)
−0.708937 + 0.705272i \(0.750825\pi\)
\(294\) 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 −0.195775 0.980649i \(-0.562722\pi\)
0.947154 0.320778i \(-0.103944\pi\)
\(308\) 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 −0.987931 0.154897i \(-0.950496\pi\)
0.999982 0.00592328i \(-0.00188545\pi\)
\(312\) 114.885 503.343i 0.0208464 0.0913340i
\(313\) −217.307 553.690i −0.0392426 0.0999886i 0.909909 0.414808i \(-0.136151\pi\)
−0.949152 + 0.314819i \(0.898056\pi\)
\(314\) −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 −0.591904 0.806008i \(-0.701624\pi\)
0.261116 + 0.965307i \(0.415909\pi\)
\(318\) −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 0.980750 + 0.195268i \(0.0625577\pi\)
−0.940692 + 0.339260i \(0.889823\pi\)
\(332\) 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 0.988978 0.148062i \(-0.0473035\pi\)
−0.622715 + 0.782449i \(0.713970\pi\)
\(338\) −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 −0.722205 0.691679i \(-0.756871\pi\)
−0.486243 + 0.873823i \(0.661633\pi\)
\(348\) 6.97598 + 30.5637i 0.00107457 + 0.00470801i
\(349\) −68.0928 + 46.4249i −0.0104439 + 0.00712053i −0.568531 0.822662i \(-0.692488\pi\)
0.558087 + 0.829783i \(0.311536\pi\)
\(350\) 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 −0.338681 0.940901i \(-0.609981\pi\)
0.250197 + 0.968195i \(0.419505\pi\)
\(354\) 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 −0.567475 + 0.823391i \(0.692080\pi\)
−0.863496 + 0.504356i \(0.831730\pi\)
\(360\) −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 0.778921 0.627122i \(-0.215767\pi\)
−0.567159 + 0.823608i \(0.691958\pi\)
\(368\) −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 −0.535800 0.844345i \(-0.679990\pi\)
−0.760871 + 0.648903i \(0.775228\pi\)
\(374\) −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 −0.244662 0.969609i \(-0.578677\pi\)
−0.910614 + 0.413257i \(0.864391\pi\)
\(380\) 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 0.993927 + 0.110042i \(0.0350986\pi\)
−0.847752 + 0.530393i \(0.822044\pi\)
\(384\) −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 −0.750253 0.661151i \(-0.770068\pi\)
0.811521 + 0.584323i \(0.198640\pi\)
\(390\) 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 −0.546063 0.837744i \(-0.683874\pi\)
0.664823 0.747001i \(-0.268507\pi\)
\(398\) −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 0.392108 0.919919i \(-0.371746\pi\)
0.103537 + 0.994626i \(0.466984\pi\)
\(402\) 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 0.997302 + 0.0734072i \(0.0233873\pi\)
−0.150354 + 0.988632i \(0.548041\pi\)
\(410\) 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 −0.926649 0.375928i \(-0.877324\pi\)
0.997991 + 0.0633588i \(0.0201813\pi\)
\(420\) −4.58548 + 61.1890i −0.000532735 + 0.00710886i
\(421\) 3689.37 1138.02i 0.427100 0.131743i −0.0737505 0.997277i \(-0.523497\pi\)
0.500850 + 0.865534i \(0.333021\pi\)
\(422\) 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 0.380600 0.924740i \(-0.375717\pi\)
0.636263 + 0.771472i \(0.280479\pi\)
\(434\) 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 −0.229289 0.973358i \(-0.573640\pi\)
0.358865 + 0.933390i \(0.383164\pi\)
\(440\) −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 0.999988 0.00487144i \(-0.00155063\pi\)
−0.989545 + 0.144223i \(0.953932\pi\)
\(444\) −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 0.335382 0.942082i \(-0.391135\pi\)
−0.253588 + 0.967312i \(0.581611\pi\)
\(450\) 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 −0.861030 0.508554i \(-0.830180\pi\)
−0.139240 + 0.990259i \(0.544466\pi\)
\(458\) 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 −0.786248 0.617912i \(-0.787979\pi\)
0.156074 0.987745i \(-0.450116\pi\)
\(462\) 2.94216 12.8905i 0.000296281 0.00129809i
\(463\) −58.0732 + 774.933i −0.00582914 + 0.0777845i −0.999360 0.0357810i \(-0.988608\pi\)
0.993531 + 0.113565i \(0.0362272\pi\)
\(464\) −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 −0.723841 0.689966i \(-0.757625\pi\)
0.959449 + 0.281882i \(0.0909586\pi\)
\(468\) −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 −0.932238 0.361846i \(-0.882147\pi\)
0.779487 + 0.626419i \(0.215480\pi\)
\(480\) −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 −0.204673 0.978830i \(-0.565613\pi\)
−0.484096 + 0.875015i \(0.660851\pi\)
\(488\) −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 0.202966 + 0.979186i \(0.434942\pi\)
−0.814800 + 0.579742i \(0.803153\pi\)
\(492\) 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 0.334458 0.942411i \(-0.391447\pi\)
−0.755074 + 0.655639i \(0.772399\pi\)
\(500\) −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 0.794453 + 0.607326i \(0.207758\pi\)
−0.695062 + 0.718950i \(0.744623\pi\)
\(504\) 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 −0.984699 0.174263i \(-0.944246\pi\)
0.341433 0.939906i \(-0.389088\pi\)
\(510\) 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 −0.0646815 0.997906i \(-0.520603\pi\)
0.905294 + 0.424786i \(0.139651\pi\)
\(522\) −1842.69 + 3191.63i −0.154506 + 0.267612i
\(523\) −55.9402 96.8912i −0.00467704 0.00810087i 0.863677 0.504045i \(-0.168155\pi\)
−0.868354 + 0.495944i \(0.834822\pi\)
\(524\) −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 −0.969513 0.245041i \(-0.921198\pi\)
0.877373 + 0.479808i \(0.159294\pi\)
\(542\) 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 0.999655 + 0.0262705i \(0.00836314\pi\)
−0.714930 + 0.699196i \(0.753542\pi\)
\(548\) 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 −0.405448 0.914118i \(-0.632884\pi\)
0.981420 + 0.191872i \(0.0614559\pi\)
\(558\) −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 −0.937267 0.348612i \(-0.886653\pi\)
0.693191 0.720754i \(-0.256204\pi\)
\(564\) 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 −0.722886 0.690967i \(-0.757185\pi\)
0.817796 0.575509i \(-0.195196\pi\)
\(570\) 988.916 4332.73i 0.0726687 0.318382i
\(571\) −1488.72 3793.20i −0.109109 0.278004i 0.865883 0.500247i \(-0.166757\pi\)
−0.974991 + 0.222243i \(0.928662\pi\)
\(572\) 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 −0.855139 0.518398i \(-0.826529\pi\)
0.979462 + 0.201630i \(0.0646238\pi\)
\(578\) 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 −0.855284 0.518160i \(-0.826617\pi\)
0.452795 + 0.891615i \(0.350427\pi\)
\(588\) −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 −0.111420 0.993773i \(-0.535540\pi\)
0.467753 + 0.883859i \(0.345064\pi\)
\(594\) 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 −0.197358 0.980332i \(-0.563236\pi\)
0.100368 + 0.994950i \(0.467998\pi\)
\(600\) 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 −0.527191 + 0.849747i \(0.676755\pi\)
−0.983612 + 0.180301i \(0.942293\pi\)
\(608\) −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 −0.387523 0.921860i \(-0.626669\pi\)
0.749126 0.662427i \(-0.230474\pi\)
\(614\) 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 −0.303566 0.952810i \(-0.598177\pi\)
0.927461 + 0.373921i \(0.121987\pi\)
\(618\) 1681.39 809.713i 0.109442 0.0527046i
\(619\) 12365.1 + 8430.40i 0.802902 + 0.547410i 0.893808 0.448450i \(-0.148024\pi\)
−0.0909056 + 0.995860i \(0.528976\pi\)
\(620\) 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 0.878963 0.476889i \(-0.158236\pi\)
0.699348 + 0.714781i \(0.253474\pi\)
\(632\) −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 0.992842 + 0.119433i \(0.0381077\pi\)
−0.842700 + 0.538384i \(0.819035\pi\)
\(642\) −3983.22 + 600.374i −0.244868 + 0.0369079i
\(643\) −14379.1 + 18030.8i −0.881889 + 1.10585i 0.111805 + 0.993730i \(0.464337\pi\)
−0.993694 + 0.112124i \(0.964235\pi\)
\(644\) −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 −0.556586 0.830790i \(-0.687889\pi\)
0.933812 + 0.357763i \(0.116461\pi\)
\(648\) −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 0.999855 0.0170460i \(-0.00542617\pi\)
0.610072 + 0.792346i \(0.291140\pi\)
\(654\) 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 −0.999999 0.00120110i \(-0.999618\pi\)
−0.955926 0.293607i \(-0.905144\pi\)
\(660\) −3.14953 + 2.92234i −0.000185751 + 0.000172351i
\(661\) −3955.73 + 1904.98i −0.232769 + 0.112095i −0.546633 0.837372i \(-0.684091\pi\)
0.313864 + 0.949468i \(0.398376\pi\)
\(662\) −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 −0.0166230 0.999862i \(-0.505292\pi\)
0.995824 + 0.0912963i \(0.0291010\pi\)
\(674\) −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 −0.929288 0.369355i \(-0.879579\pi\)
0.997517 + 0.0704255i \(0.0224357\pi\)
\(678\) −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 −0.823155 0.567817i \(-0.807788\pi\)
0.227833 + 0.973700i \(0.426836\pi\)
\(684\) 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 −0.285697 0.958320i \(-0.592225\pi\)
0.00946507 + 0.999955i \(0.496987\pi\)
\(692\) −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 0.576265 + 0.817263i \(0.304510\pi\)
−0.448022 + 0.894023i \(0.647871\pi\)
\(702\) 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 0.940492 0.339816i \(-0.110365\pi\)
−0.540576 + 0.841295i \(0.681793\pi\)
\(710\) −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 0.975290 0.220930i \(-0.0709093\pi\)
−0.865209 + 0.501412i \(0.832814\pi\)
\(720\) 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 0.875712 + 0.482835i \(0.160393\pi\)
−0.579495 + 0.814976i \(0.696750\pi\)
\(728\) 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 −0.193959 0.981010i \(-0.562133\pi\)
0.999574 0.0291996i \(-0.00929583\pi\)
\(734\) −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 0.803063 0.595894i \(-0.203202\pi\)
0.0348128 + 0.999394i \(0.488917\pi\)
\(740\) 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 0.996069 + 0.0885803i \(0.0282330\pi\)
−0.669920 + 0.742433i \(0.733672\pi\)
\(744\) 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 0.536379 0.843977i \(-0.319792\pi\)
−0.801534 + 0.597950i \(0.795982\pi\)
\(752\) 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 1.19283 + 0.813261i 0.986265 0.165171i \(-0.0528176\pi\)
0.206570 + 0.978432i \(0.433770\pi\)