Properties

Label 400.2.bm.a.147.25
Level $400$
Weight $2$
Character 400.147
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 147.25
Character \(\chi\) \(=\) 400.147
Dual form 400.2.bm.a.283.25

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.286342 - 1.38492i) q^{2} +(-0.553339 + 0.761606i) q^{3} +(-1.83602 + 0.793123i) q^{4} +(1.47488 + 1.68069i) q^{5} +(1.21321 + 0.548251i) q^{6} +(-2.97017 - 2.97017i) q^{7} +(1.62414 + 2.31563i) q^{8} +(0.653192 + 2.01032i) q^{9} +O(q^{10})\) \(q+(-0.286342 - 1.38492i) q^{2} +(-0.553339 + 0.761606i) q^{3} +(-1.83602 + 0.793123i) q^{4} +(1.47488 + 1.68069i) q^{5} +(1.21321 + 0.548251i) q^{6} +(-2.97017 - 2.97017i) q^{7} +(1.62414 + 2.31563i) q^{8} +(0.653192 + 2.01032i) q^{9} +(1.90531 - 2.52385i) q^{10} +(-4.43778 + 2.26116i) q^{11} +(0.411892 - 1.83719i) q^{12} +(-1.80377 - 5.55144i) q^{13} +(-3.26297 + 4.96394i) q^{14} +(-2.09613 + 0.193285i) q^{15} +(2.74191 - 2.91237i) q^{16} +(-3.45405 - 0.547068i) q^{17} +(2.59710 - 1.48026i) q^{18} +(-6.21548 - 0.984436i) q^{19} +(-4.04090 - 1.91602i) q^{20} +(3.90561 - 0.618588i) q^{21} +(4.40226 + 5.49851i) q^{22} +(3.63461 + 7.13332i) q^{23} +(-2.66230 - 0.0443742i) q^{24} +(-0.649452 + 4.95764i) q^{25} +(-7.17181 + 4.08769i) q^{26} +(-4.57847 - 1.48764i) q^{27} +(7.80899 + 3.09757i) q^{28} +(-2.43080 + 0.385001i) q^{29} +(0.867897 + 2.84764i) q^{30} +(-0.486804 - 0.670028i) q^{31} +(-4.81854 - 2.96340i) q^{32} +(0.733483 - 4.63103i) q^{33} +(0.231395 + 4.94024i) q^{34} +(0.611294 - 9.37259i) q^{35} +(-2.79370 - 3.17291i) q^{36} +(0.910681 + 2.80279i) q^{37} +(0.416389 + 8.88984i) q^{38} +(5.22610 + 1.69806i) q^{39} +(-1.49645 + 6.14497i) q^{40} +(3.03456 - 0.985987i) q^{41} +(-1.97504 - 5.23184i) q^{42} -2.12253 q^{43} +(6.35446 - 7.67124i) q^{44} +(-2.41534 + 4.06279i) q^{45} +(8.83834 - 7.07621i) q^{46} +(2.49278 - 0.394818i) q^{47} +(0.700875 + 3.69979i) q^{48} +10.6438i q^{49} +(7.05191 - 0.520142i) q^{50} +(2.32791 - 2.32791i) q^{51} +(7.71472 + 8.76191i) q^{52} +(-1.25209 + 1.72335i) q^{53} +(-0.749249 + 6.76680i) q^{54} +(-10.3455 - 4.12360i) q^{55} +(2.05385 - 11.7018i) q^{56} +(4.18902 - 4.18902i) q^{57} +(1.22924 + 3.25622i) q^{58} +(1.04402 + 0.531953i) q^{59} +(3.69524 - 2.01737i) q^{60} +(-7.03992 + 3.58702i) q^{61} +(-0.788544 + 0.866043i) q^{62} +(4.03089 - 7.91108i) q^{63} +(-2.72432 + 7.52184i) q^{64} +(6.66991 - 11.2193i) q^{65} +(-6.62364 + 0.310243i) q^{66} +(10.6196 - 7.71563i) q^{67} +(6.77559 - 1.73506i) q^{68} +(-7.44395 - 1.17901i) q^{69} +(-13.1553 + 1.83717i) q^{70} +(-2.82246 - 2.05064i) q^{71} +(-3.59428 + 4.77759i) q^{72} +(0.292836 - 0.149208i) q^{73} +(3.62087 - 2.06378i) q^{74} +(-3.41640 - 3.23788i) q^{75} +(12.1925 - 3.12220i) q^{76} +(19.8970 + 6.46493i) q^{77} +(0.855231 - 7.72397i) q^{78} +(5.70763 + 4.14683i) q^{79} +(8.93880 + 0.312903i) q^{80} +(-1.46379 + 1.06351i) q^{81} +(-2.23444 - 3.92029i) q^{82} +(-4.22319 - 5.81272i) q^{83} +(-6.68015 + 4.23337i) q^{84} +(-4.17486 - 6.61206i) q^{85} +(0.607769 + 2.93953i) q^{86} +(1.05184 - 2.06435i) q^{87} +(-12.4436 - 6.60382i) q^{88} +(2.16051 - 6.64936i) q^{89} +(6.31826 + 2.18171i) q^{90} +(-11.1312 + 21.8462i) q^{91} +(-12.3308 - 10.2142i) q^{92} +0.779665 q^{93} +(-1.26058 - 3.33926i) q^{94} +(-7.51256 - 11.8982i) q^{95} +(4.92322 - 2.03006i) q^{96} +(-1.48762 - 9.39247i) q^{97} +(14.7409 - 3.04778i) q^{98} +(-7.44437 - 7.44437i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 10q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} + 108q^{9} - 4q^{10} - 6q^{11} - 22q^{12} - 6q^{13} - 10q^{14} - 12q^{15} + 34q^{16} - 16q^{17} - 24q^{18} - 10q^{19} - 14q^{20} - 36q^{21} - 60q^{22} - 16q^{23} - 12q^{24} - 16q^{26} - 10q^{27} + 6q^{28} - 10q^{29} - 106q^{30} + 2q^{32} - 16q^{33} - 10q^{34} - 60q^{35} + 10q^{36} - 6q^{37} - 38q^{38} - 20q^{39} + 16q^{40} - 38q^{42} + 16q^{43} - 80q^{44} - 4q^{45} - 6q^{46} + 24q^{47} + 60q^{48} + 38q^{50} - 16q^{51} - 160q^{52} - 10q^{53} - 16q^{55} - 6q^{56} - 12q^{57} - 110q^{58} - 10q^{59} - 50q^{60} - 6q^{61} - 14q^{62} - 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} + 30q^{67} - 50q^{68} - 22q^{69} + 38q^{70} - 12q^{71} + 172q^{72} - 8q^{73} + 8q^{74} - 58q^{75} - 16q^{76} + 60q^{77} - 48q^{78} + 208q^{80} - 96q^{81} - 14q^{82} - 10q^{83} - 22q^{84} + 2q^{85} - 126q^{86} - 72q^{87} + 86q^{88} + 110q^{90} + 64q^{91} - 66q^{92} - 28q^{93} - 10q^{94} - 160q^{95} - 36q^{96} - 16q^{97} - 44q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{17}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.286342 1.38492i −0.202475 0.979288i
\(3\) −0.553339 + 0.761606i −0.319470 + 0.439713i −0.938305 0.345808i \(-0.887605\pi\)
0.618835 + 0.785521i \(0.287605\pi\)
\(4\) −1.83602 + 0.793123i −0.918008 + 0.396562i
\(5\) 1.47488 + 1.68069i 0.659587 + 0.751628i
\(6\) 1.21321 + 0.548251i 0.495290 + 0.223823i
\(7\) −2.97017 2.97017i −1.12262 1.12262i −0.991346 0.131273i \(-0.958094\pi\)
−0.131273 0.991346i \(-0.541906\pi\)
\(8\) 1.62414 + 2.31563i 0.574221 + 0.818700i
\(9\) 0.653192 + 2.01032i 0.217731 + 0.670106i
\(10\) 1.90531 2.52385i 0.602511 0.798111i
\(11\) −4.43778 + 2.26116i −1.33804 + 0.681766i −0.968864 0.247593i \(-0.920360\pi\)
−0.369177 + 0.929359i \(0.620360\pi\)
\(12\) 0.411892 1.83719i 0.118903 0.530350i
\(13\) −1.80377 5.55144i −0.500276 1.53969i −0.808570 0.588400i \(-0.799758\pi\)
0.308294 0.951291i \(-0.400242\pi\)
\(14\) −3.26297 + 4.96394i −0.872065 + 1.32667i
\(15\) −2.09613 + 0.193285i −0.541220 + 0.0499061i
\(16\) 2.74191 2.91237i 0.685478 0.728094i
\(17\) −3.45405 0.547068i −0.837730 0.132683i −0.277195 0.960814i \(-0.589405\pi\)
−0.560536 + 0.828130i \(0.689405\pi\)
\(18\) 2.59710 1.48026i 0.612141 0.348900i
\(19\) −6.21548 0.984436i −1.42593 0.225845i −0.604705 0.796450i \(-0.706709\pi\)
−0.821225 + 0.570605i \(0.806709\pi\)
\(20\) −4.04090 1.91602i −0.903573 0.428434i
\(21\) 3.90561 0.618588i 0.852274 0.134987i
\(22\) 4.40226 + 5.49851i 0.938564 + 1.17229i
\(23\) 3.63461 + 7.13332i 0.757868 + 1.48740i 0.869651 + 0.493667i \(0.164344\pi\)
−0.111783 + 0.993733i \(0.535656\pi\)
\(24\) −2.66230 0.0443742i −0.543440 0.00905785i
\(25\) −0.649452 + 4.95764i −0.129890 + 0.991528i
\(26\) −7.17181 + 4.08769i −1.40651 + 0.801662i
\(27\) −4.57847 1.48764i −0.881127 0.286296i
\(28\) 7.80899 + 3.09757i 1.47576 + 0.585386i
\(29\) −2.43080 + 0.385001i −0.451388 + 0.0714928i −0.377990 0.925810i \(-0.623384\pi\)
−0.0733984 + 0.997303i \(0.523384\pi\)
\(30\) 0.867897 + 2.84764i 0.158456 + 0.519905i
\(31\) −0.486804 0.670028i −0.0874326 0.120341i 0.763060 0.646328i \(-0.223696\pi\)
−0.850493 + 0.525987i \(0.823696\pi\)
\(32\) −4.81854 2.96340i −0.851805 0.523859i
\(33\) 0.733483 4.63103i 0.127683 0.806159i
\(34\) 0.231395 + 4.94024i 0.0396838 + 0.847244i
\(35\) 0.611294 9.37259i 0.103328 1.58426i
\(36\) −2.79370 3.17291i −0.465617 0.528819i
\(37\) 0.910681 + 2.80279i 0.149715 + 0.460775i 0.997587 0.0694254i \(-0.0221166\pi\)
−0.847872 + 0.530201i \(0.822117\pi\)
\(38\) 0.416389 + 8.88984i 0.0675472 + 1.44212i
\(39\) 5.22610 + 1.69806i 0.836846 + 0.271908i
\(40\) −1.49645 + 6.14497i −0.236610 + 0.971605i
\(41\) 3.03456 0.985987i 0.473918 0.153985i −0.0623128 0.998057i \(-0.519848\pi\)
0.536231 + 0.844071i \(0.319848\pi\)
\(42\) −1.97504 5.23184i −0.304755 0.807290i
\(43\) −2.12253 −0.323682 −0.161841 0.986817i \(-0.551743\pi\)
−0.161841 + 0.986817i \(0.551743\pi\)
\(44\) 6.35446 7.67124i 0.957970 1.15648i
\(45\) −2.41534 + 4.06279i −0.360058 + 0.605645i
\(46\) 8.83834 7.07621i 1.30314 1.04333i
\(47\) 2.49278 0.394818i 0.363610 0.0575901i 0.0280434 0.999607i \(-0.491072\pi\)
0.335566 + 0.942017i \(0.391072\pi\)
\(48\) 0.700875 + 3.69979i 0.101163 + 0.534018i
\(49\) 10.6438i 1.52055i
\(50\) 7.05191 0.520142i 0.997291 0.0735592i
\(51\) 2.32791 2.32791i 0.325973 0.325973i
\(52\) 7.71472 + 8.76191i 1.06984 + 1.21506i
\(53\) −1.25209 + 1.72335i −0.171987 + 0.236720i −0.886306 0.463101i \(-0.846737\pi\)
0.714319 + 0.699821i \(0.246737\pi\)
\(54\) −0.749249 + 6.76680i −0.101960 + 0.920844i
\(55\) −10.3455 4.12360i −1.39499 0.556026i
\(56\) 2.05385 11.7018i 0.274457 1.56372i
\(57\) 4.18902 4.18902i 0.554850 0.554850i
\(58\) 1.22924 + 3.25622i 0.161407 + 0.427563i
\(59\) 1.04402 + 0.531953i 0.135919 + 0.0692544i 0.520628 0.853784i \(-0.325698\pi\)
−0.384708 + 0.923038i \(0.625698\pi\)
\(60\) 3.69524 2.01737i 0.477053 0.260441i
\(61\) −7.03992 + 3.58702i −0.901370 + 0.459271i −0.842316 0.538984i \(-0.818808\pi\)
−0.0590537 + 0.998255i \(0.518808\pi\)
\(62\) −0.788544 + 0.866043i −0.100145 + 0.109988i
\(63\) 4.03089 7.91108i 0.507845 0.996702i
\(64\) −2.72432 + 7.52184i −0.340540 + 0.940230i
\(65\) 6.66991 11.2193i 0.827300 1.39158i
\(66\) −6.62364 + 0.310243i −0.815314 + 0.0381883i
\(67\) 10.6196 7.71563i 1.29740 0.942614i 0.297470 0.954731i \(-0.403857\pi\)
0.999927 + 0.0121175i \(0.00385720\pi\)
\(68\) 6.77559 1.73506i 0.821661 0.210407i
\(69\) −7.44395 1.17901i −0.896146 0.141936i
\(70\) −13.1553 + 1.83717i −1.57236 + 0.219584i
\(71\) −2.82246 2.05064i −0.334964 0.243366i 0.407570 0.913174i \(-0.366376\pi\)
−0.742534 + 0.669808i \(0.766376\pi\)
\(72\) −3.59428 + 4.77759i −0.423590 + 0.563045i
\(73\) 0.292836 0.149208i 0.0342739 0.0174634i −0.436770 0.899573i \(-0.643877\pi\)
0.471043 + 0.882110i \(0.343877\pi\)
\(74\) 3.62087 2.06378i 0.420918 0.239909i
\(75\) −3.41640 3.23788i −0.394492 0.373879i
\(76\) 12.1925 3.12220i 1.39858 0.358141i
\(77\) 19.8970 + 6.46493i 2.26747 + 0.736747i
\(78\) 0.855231 7.72397i 0.0968359 0.874567i
\(79\) 5.70763 + 4.14683i 0.642158 + 0.466555i 0.860591 0.509297i \(-0.170094\pi\)
−0.218433 + 0.975852i \(0.570094\pi\)
\(80\) 8.93880 + 0.312903i 0.999388 + 0.0349836i
\(81\) −1.46379 + 1.06351i −0.162644 + 0.118168i
\(82\) −2.23444 3.92029i −0.246752 0.432924i
\(83\) −4.22319 5.81272i −0.463555 0.638029i 0.511686 0.859172i \(-0.329021\pi\)
−0.975241 + 0.221143i \(0.929021\pi\)
\(84\) −6.68015 + 4.23337i −0.728864 + 0.461898i
\(85\) −4.17486 6.61206i −0.452827 0.717178i
\(86\) 0.607769 + 2.93953i 0.0655375 + 0.316978i
\(87\) 1.05184 2.06435i 0.112769 0.221321i
\(88\) −12.4436 6.60382i −1.32649 0.703970i
\(89\) 2.16051 6.64936i 0.229013 0.704831i −0.768846 0.639434i \(-0.779169\pi\)
0.997859 0.0653968i \(-0.0208313\pi\)
\(90\) 6.31826 + 2.18171i 0.666003 + 0.229973i
\(91\) −11.1312 + 21.8462i −1.16687 + 2.29011i
\(92\) −12.3308 10.2142i −1.28557 1.06490i
\(93\) 0.779665 0.0808475
\(94\) −1.26058 3.33926i −0.130019 0.344418i
\(95\) −7.51256 11.8982i −0.770773 1.22073i
\(96\) 4.92322 2.03006i 0.502474 0.207192i
\(97\) −1.48762 9.39247i −0.151045 0.953661i −0.940486 0.339834i \(-0.889629\pi\)
0.789441 0.613827i \(-0.210371\pi\)
\(98\) 14.7409 3.04778i 1.48905 0.307872i
\(99\) −7.44437 7.44437i −0.748187 0.748187i
\(100\) −2.73962 9.61741i −0.273962 0.961741i
\(101\) −4.59276 + 4.59276i −0.456996 + 0.456996i −0.897668 0.440672i \(-0.854740\pi\)
0.440672 + 0.897668i \(0.354740\pi\)
\(102\) −3.89056 2.55740i −0.385222 0.253220i
\(103\) −5.60500 + 0.887745i −0.552277 + 0.0874721i −0.426335 0.904565i \(-0.640195\pi\)
−0.125942 + 0.992038i \(0.540195\pi\)
\(104\) 9.92551 13.1932i 0.973276 1.29370i
\(105\) 6.79997 + 5.65179i 0.663609 + 0.551558i
\(106\) 2.74523 + 1.24057i 0.266640 + 0.120495i
\(107\) 4.71948i 0.456249i 0.973632 + 0.228125i \(0.0732594\pi\)
−0.973632 + 0.228125i \(0.926741\pi\)
\(108\) 9.58602 0.899969i 0.922416 0.0865995i
\(109\) 0.511270 + 0.260505i 0.0489707 + 0.0249518i 0.478304 0.878194i \(-0.341252\pi\)
−0.429334 + 0.903146i \(0.641252\pi\)
\(110\) −2.74850 + 15.5085i −0.262059 + 1.47868i
\(111\) −2.63853 0.857312i −0.250439 0.0813724i
\(112\) −16.7942 + 0.506304i −1.58690 + 0.0478413i
\(113\) −6.82912 3.47961i −0.642430 0.327334i 0.102248 0.994759i \(-0.467397\pi\)
−0.744677 + 0.667425i \(0.767397\pi\)
\(114\) −7.00096 4.60197i −0.655700 0.431014i
\(115\) −6.62830 + 16.6294i −0.618092 + 1.55070i
\(116\) 4.15763 2.63479i 0.386027 0.244634i
\(117\) 9.98194 7.25230i 0.922830 0.670475i
\(118\) 0.437768 1.59820i 0.0402998 0.147127i
\(119\) 8.63424 + 11.8840i 0.791499 + 1.08941i
\(120\) −3.85200 4.53996i −0.351638 0.414439i
\(121\) 8.11540 11.1699i 0.737763 1.01544i
\(122\) 6.98357 + 8.72263i 0.632263 + 0.789709i
\(123\) −0.928205 + 2.85672i −0.0836934 + 0.257582i
\(124\) 1.42519 + 0.844087i 0.127986 + 0.0758013i
\(125\) −9.29013 + 6.22040i −0.830935 + 0.556370i
\(126\) −12.1104 3.31720i −1.07888 0.295519i
\(127\) 1.03530 + 2.03190i 0.0918683 + 0.180302i 0.932368 0.361510i \(-0.117739\pi\)
−0.840500 + 0.541812i \(0.817739\pi\)
\(128\) 11.1972 + 1.61915i 0.989706 + 0.143114i
\(129\) 1.17448 1.61653i 0.103407 0.142328i
\(130\) −17.4477 6.02474i −1.53027 0.528405i
\(131\) −0.917599 + 5.79349i −0.0801710 + 0.506180i 0.914626 + 0.404301i \(0.132485\pi\)
−0.994797 + 0.101879i \(0.967515\pi\)
\(132\) 2.32629 + 9.08439i 0.202478 + 0.790694i
\(133\) 15.5371 + 21.3850i 1.34724 + 1.85431i
\(134\) −13.7264 12.4981i −1.18578 1.07967i
\(135\) −4.25244 9.88908i −0.365992 0.851117i
\(136\) −4.34306 8.88683i −0.372415 0.762040i
\(137\) 11.6303 + 5.92593i 0.993643 + 0.506286i 0.873685 0.486493i \(-0.161724\pi\)
0.119958 + 0.992779i \(0.461724\pi\)
\(138\) 0.498686 + 10.6469i 0.0424510 + 0.906323i
\(139\) 2.02710 + 3.97840i 0.171936 + 0.337444i 0.960854 0.277055i \(-0.0893584\pi\)
−0.788918 + 0.614499i \(0.789358\pi\)
\(140\) 6.31127 + 17.6931i 0.533400 + 1.49534i
\(141\) −1.07866 + 2.11699i −0.0908394 + 0.178282i
\(142\) −2.03178 + 4.49607i −0.170503 + 0.377302i
\(143\) 20.5574 + 20.5574i 1.71910 + 1.71910i
\(144\) 7.64579 + 3.60977i 0.637149 + 0.300814i
\(145\) −4.23221 3.51759i −0.351466 0.292120i
\(146\) −0.290492 0.362831i −0.0240413 0.0300281i
\(147\) −8.10641 5.88965i −0.668605 0.485770i
\(148\) −3.89498 4.42368i −0.320165 0.363624i
\(149\) 11.6888 + 11.6888i 0.957582 + 0.957582i 0.999136 0.0415541i \(-0.0132309\pi\)
−0.0415541 + 0.999136i \(0.513231\pi\)
\(150\) −3.50596 + 5.65859i −0.286260 + 0.462022i
\(151\) 10.5642 0.859700 0.429850 0.902900i \(-0.358566\pi\)
0.429850 + 0.902900i \(0.358566\pi\)
\(152\) −7.81524 15.9916i −0.633899 1.29709i
\(153\) −1.15638 7.30108i −0.0934875 0.590257i
\(154\) 3.25607 29.4070i 0.262381 2.36968i
\(155\) 0.408133 1.80638i 0.0327820 0.145092i
\(156\) −10.9420 + 1.02727i −0.876060 + 0.0822475i
\(157\) 18.2217i 1.45425i −0.686506 0.727124i \(-0.740856\pi\)
0.686506 0.727124i \(-0.259144\pi\)
\(158\) 4.10870 9.09203i 0.326871 0.723323i
\(159\) −0.619684 1.90719i −0.0491441 0.151250i
\(160\) −2.12621 12.4691i −0.168092 0.985771i
\(161\) 10.3918 31.9826i 0.818986 2.52058i
\(162\) 1.89202 + 1.72271i 0.148651 + 0.135349i
\(163\) −15.7424 + 5.11501i −1.23304 + 0.400639i −0.851814 0.523844i \(-0.824498\pi\)
−0.381225 + 0.924482i \(0.624498\pi\)
\(164\) −4.78949 + 4.21707i −0.373996 + 0.329298i
\(165\) 8.86513 5.59746i 0.690150 0.435761i
\(166\) −6.84089 + 7.51321i −0.530956 + 0.583138i
\(167\) 14.5133 + 2.29868i 1.12307 + 0.177877i 0.690228 0.723592i \(-0.257510\pi\)
0.432844 + 0.901469i \(0.357510\pi\)
\(168\) 7.77569 + 8.03929i 0.599908 + 0.620245i
\(169\) −17.0476 + 12.3858i −1.31136 + 0.952756i
\(170\) −7.96174 + 7.67517i −0.610638 + 0.588658i
\(171\) −2.08087 13.1381i −0.159128 1.00470i
\(172\) 3.89700 1.68343i 0.297143 0.128360i
\(173\) −2.81755 + 8.67153i −0.214214 + 0.659284i 0.784994 + 0.619503i \(0.212666\pi\)
−0.999208 + 0.0397808i \(0.987334\pi\)
\(174\) −3.16014 0.865602i −0.239570 0.0656212i
\(175\) 16.6540 12.7961i 1.25893 0.967291i
\(176\) −5.58265 + 19.1244i −0.420808 + 1.44155i
\(177\) −0.982834 + 0.500779i −0.0738744 + 0.0376409i
\(178\) −9.82749 1.08814i −0.736602 0.0815597i
\(179\) 1.17225 + 7.40129i 0.0876180 + 0.553198i 0.991976 + 0.126424i \(0.0403500\pi\)
−0.904358 + 0.426774i \(0.859650\pi\)
\(180\) 1.21232 9.37502i 0.0903607 0.698773i
\(181\) −1.45776 + 9.20393i −0.108354 + 0.684122i 0.872388 + 0.488815i \(0.162571\pi\)
−0.980742 + 0.195308i \(0.937429\pi\)
\(182\) 33.4426 + 9.16035i 2.47893 + 0.679010i
\(183\) 1.16357 7.34648i 0.0860135 0.543068i
\(184\) −10.6150 + 20.0019i −0.782550 + 1.47456i
\(185\) −3.36748 + 5.66435i −0.247582 + 0.416451i
\(186\) −0.223251 1.07978i −0.0163696 0.0791730i
\(187\) 16.5653 5.38240i 1.21138 0.393600i
\(188\) −4.26365 + 2.70198i −0.310959 + 0.197062i
\(189\) 9.18031 + 18.0174i 0.667769 + 1.31057i
\(190\) −14.3270 + 13.8113i −1.03939 + 1.00198i
\(191\) 7.25433 2.35707i 0.524905 0.170552i −0.0345654 0.999402i \(-0.511005\pi\)
0.559470 + 0.828851i \(0.311005\pi\)
\(192\) −4.22120 6.23699i −0.304639 0.450116i
\(193\) −16.2942 + 16.2942i −1.17289 + 1.17289i −0.191367 + 0.981519i \(0.561292\pi\)
−0.981519 + 0.191367i \(0.938708\pi\)
\(194\) −12.5819 + 4.74970i −0.903325 + 0.341008i
\(195\) 4.85396 + 11.2879i 0.347599 + 0.808344i
\(196\) −8.44187 19.5423i −0.602991 1.39588i
\(197\) −12.7575 9.26885i −0.908932 0.660378i 0.0318124 0.999494i \(-0.489872\pi\)
−0.940745 + 0.339116i \(0.889872\pi\)
\(198\) −8.17823 + 12.4415i −0.581202 + 0.884180i
\(199\) 10.2389i 0.725815i −0.931825 0.362908i \(-0.881784\pi\)
0.931825 0.362908i \(-0.118216\pi\)
\(200\) −12.5349 + 6.54802i −0.886350 + 0.463015i
\(201\) 12.3573i 0.871620i
\(202\) 7.67571 + 5.04551i 0.540061 + 0.355001i
\(203\) 8.36341 + 6.07637i 0.586996 + 0.426478i
\(204\) −2.42776 + 6.12040i −0.169977 + 0.428514i
\(205\) 6.13275 + 3.64594i 0.428330 + 0.254644i
\(206\) 2.83441 + 7.50829i 0.197482 + 0.523127i
\(207\) −11.9661 + 11.9661i −0.831704 + 0.831704i
\(208\) −21.1136 9.96829i −1.46397 0.691176i
\(209\) 29.8089 9.68550i 2.06193 0.669960i
\(210\) 5.88016 11.0358i 0.405770 0.761541i
\(211\) −1.75967 3.45354i −0.121140 0.237752i 0.822471 0.568808i \(-0.192595\pi\)
−0.943611 + 0.331056i \(0.892595\pi\)
\(212\) 0.932022 4.15715i 0.0640115 0.285514i
\(213\) 3.12356 1.01490i 0.214022 0.0695401i
\(214\) 6.53611 1.35139i 0.446799 0.0923789i
\(215\) −3.13048 3.56732i −0.213497 0.243289i
\(216\) −3.99127 13.0182i −0.271572 0.885776i
\(217\) −0.544207 + 3.43599i −0.0369432 + 0.233250i
\(218\) 0.214381 0.782662i 0.0145197 0.0530086i
\(219\) −0.0484004 + 0.305588i −0.00327060 + 0.0206497i
\(220\) 22.2651 0.634276i 1.50111 0.0427629i
\(221\) 3.19330 + 20.1617i 0.214805 + 1.35622i
\(222\) −0.431786 + 3.89965i −0.0289796 + 0.261727i
\(223\) 4.17943 2.12953i 0.279876 0.142604i −0.308419 0.951251i \(-0.599800\pi\)
0.588294 + 0.808647i \(0.299800\pi\)
\(224\) 5.51008 + 23.1137i 0.368158 + 1.54435i
\(225\) −10.3906 + 1.93269i −0.692710 + 0.128846i
\(226\) −2.86352 + 10.4542i −0.190479 + 0.695400i
\(227\) −3.34826 + 10.3049i −0.222232 + 0.683959i 0.776329 + 0.630328i \(0.217080\pi\)
−0.998561 + 0.0536311i \(0.982920\pi\)
\(228\) −4.36870 + 11.0135i −0.289324 + 0.729388i
\(229\) 1.80359 + 11.3874i 0.119185 + 0.752502i 0.972808 + 0.231612i \(0.0743999\pi\)
−0.853624 + 0.520890i \(0.825600\pi\)
\(230\) 24.9284 + 4.41796i 1.64373 + 0.291312i
\(231\) −15.9335 + 11.5764i −1.04835 + 0.761670i
\(232\) −4.83948 5.00354i −0.317728 0.328499i
\(233\) −26.0526 4.12632i −1.70676 0.270324i −0.774621 0.632426i \(-0.782059\pi\)
−0.932139 + 0.362101i \(0.882059\pi\)
\(234\) −12.9021 11.7476i −0.843438 0.767962i
\(235\) 4.34013 + 3.60729i 0.283119 + 0.235314i
\(236\) −2.33874 0.148641i −0.152239 0.00967569i
\(237\) −6.31650 + 2.05236i −0.410301 + 0.133315i
\(238\) 13.9861 15.3606i 0.906583 0.995682i
\(239\) −5.32173 + 16.3786i −0.344234 + 1.05944i 0.617759 + 0.786368i \(0.288041\pi\)
−0.961993 + 0.273075i \(0.911959\pi\)
\(240\) −5.18450 + 6.63470i −0.334658 + 0.428268i
\(241\) 7.23816 + 22.2768i 0.466251 + 1.43497i 0.857402 + 0.514647i \(0.172077\pi\)
−0.391151 + 0.920326i \(0.627923\pi\)
\(242\) −17.7932 8.04078i −1.14379 0.516881i
\(243\) 16.1456i 1.03574i
\(244\) 10.0805 12.1694i 0.645335 0.779063i
\(245\) −17.8890 + 15.6984i −1.14289 + 1.00293i
\(246\) 4.22212 + 0.467491i 0.269193 + 0.0298062i
\(247\) 5.74627 + 36.2805i 0.365627 + 2.30848i
\(248\) 0.760901 2.21548i 0.0483173 0.140683i
\(249\) 6.76386 0.428642
\(250\) 11.2749 + 11.0849i 0.713089 + 0.701073i
\(251\) −20.3012 20.3012i −1.28140 1.28140i −0.939871 0.341530i \(-0.889055\pi\)
−0.341530 0.939871i \(-0.610945\pi\)
\(252\) −1.12633 + 17.7219i −0.0709521 + 1.11637i
\(253\) −32.2592 23.4377i −2.02812 1.47351i
\(254\) 2.51757 2.01563i 0.157966 0.126472i
\(255\) 7.34590 + 0.479110i 0.460018 + 0.0300030i
\(256\) −0.963846 15.9709i −0.0602404 0.998184i
\(257\) 1.73771 + 1.73771i 0.108395 + 0.108395i 0.759224 0.650829i \(-0.225579\pi\)
−0.650829 + 0.759224i \(0.725579\pi\)
\(258\) −2.57507 1.16368i −0.160317 0.0724475i
\(259\) 5.61988 11.0296i 0.349202 0.685348i
\(260\) −3.34778 + 25.8889i −0.207620 + 1.60556i
\(261\) −2.36175 4.63520i −0.146189 0.286911i
\(262\) 8.28628 0.388119i 0.511928 0.0239781i
\(263\) −8.28818 4.22304i −0.511071 0.260404i 0.179384 0.983779i \(-0.442590\pi\)
−0.690455 + 0.723375i \(0.742590\pi\)
\(264\) 11.9150 5.82297i 0.733321 0.358379i
\(265\) −4.74309 + 0.437363i −0.291366 + 0.0268670i
\(266\) 25.1676 27.6411i 1.54313 1.69478i
\(267\) 3.86870 + 5.32481i 0.236761 + 0.325873i
\(268\) −13.3784 + 22.5887i −0.817216 + 1.37982i
\(269\) 3.40902 21.5237i 0.207852 1.31232i −0.634301 0.773086i \(-0.718712\pi\)
0.842153 0.539239i \(-0.181288\pi\)
\(270\) −12.4780 + 8.72096i −0.759384 + 0.530741i
\(271\) −2.29450 + 3.15811i −0.139381 + 0.191841i −0.873001 0.487719i \(-0.837829\pi\)
0.733620 + 0.679560i \(0.237829\pi\)
\(272\) −11.0640 + 8.55948i −0.670852 + 0.518995i
\(273\) −10.4789 20.5660i −0.634211 1.24471i
\(274\) 4.87670 17.8039i 0.294612 1.07557i
\(275\) −8.32790 23.4694i −0.502192 1.41526i
\(276\) 14.6023 3.73929i 0.878955 0.225079i
\(277\) 1.12820 3.47225i 0.0677872 0.208628i −0.911425 0.411466i \(-0.865017\pi\)
0.979212 + 0.202839i \(0.0650168\pi\)
\(278\) 4.92933 3.94655i 0.295642 0.236699i
\(279\) 1.02899 1.41629i 0.0616042 0.0847909i
\(280\) 22.6963 13.8069i 1.35636 0.825120i
\(281\) −13.2398 18.2230i −0.789820 1.08709i −0.994130 0.108188i \(-0.965495\pi\)
0.204310 0.978906i \(-0.434505\pi\)
\(282\) 3.24073 + 0.887675i 0.192982 + 0.0528603i
\(283\) −5.28530 + 3.84000i −0.314179 + 0.228264i −0.733687 0.679487i \(-0.762202\pi\)
0.419509 + 0.907751i \(0.362202\pi\)
\(284\) 6.80849 + 1.52644i 0.404010 + 0.0905778i
\(285\) 13.2188 + 0.862147i 0.783012 + 0.0510692i
\(286\) 22.5840 34.3569i 1.33542 2.03157i
\(287\) −11.9417 6.08460i −0.704896 0.359163i
\(288\) 2.80994 11.6224i 0.165577 0.684859i
\(289\) −4.53677 1.47409i −0.266869 0.0867110i
\(290\) −3.65973 + 6.86851i −0.214907 + 0.403333i
\(291\) 7.97652 + 4.06424i 0.467592 + 0.238250i
\(292\) −0.419312 + 0.506203i −0.0245384 + 0.0296233i
\(293\) 20.4423i 1.19425i −0.802147 0.597127i \(-0.796309\pi\)
0.802147 0.597127i \(-0.203691\pi\)
\(294\) −5.83550 + 12.9132i −0.340333 + 0.753113i
\(295\) 0.645751 + 2.53924i 0.0375971 + 0.147840i
\(296\) −5.01115 + 6.66093i −0.291267 + 0.387159i
\(297\) 23.6820 3.75086i 1.37417 0.217647i
\(298\) 12.8411 19.5350i 0.743862 1.13163i
\(299\) 33.0441 33.0441i 1.91099 1.91099i
\(300\) 8.84061 + 3.23518i 0.510413 + 0.186783i
\(301\) 6.30427 + 6.30427i 0.363372 + 0.363372i
\(302\) −3.02497 14.6306i −0.174067 0.841894i
\(303\) −0.956519 6.03922i −0.0549506 0.346944i
\(304\) −19.9093 + 15.4026i −1.14188 + 0.883398i
\(305\) −16.4117 6.54151i −0.939732 0.374566i
\(306\) −9.78030 + 3.69210i −0.559103 + 0.211063i
\(307\) −1.91227 −0.109139 −0.0545696 0.998510i \(-0.517379\pi\)
−0.0545696 + 0.998510i \(0.517379\pi\)
\(308\) −41.6587 + 3.91106i −2.37372 + 0.222853i
\(309\) 2.42535 4.76003i 0.137974 0.270788i
\(310\) −2.61856 0.0479897i −0.148724 0.00272563i
\(311\) −3.69252 + 11.3644i −0.209384 + 0.644417i 0.790121 + 0.612951i \(0.210018\pi\)
−0.999505 + 0.0314661i \(0.989982\pi\)
\(312\) 4.55584 + 14.8596i 0.257924 + 0.841261i
\(313\) −10.5097 + 20.6264i −0.594041 + 1.16587i 0.376833 + 0.926281i \(0.377013\pi\)
−0.970874 + 0.239590i \(0.922987\pi\)
\(314\) −25.2356 + 5.21764i −1.42413 + 0.294448i
\(315\) 19.2412 4.89320i 1.08412 0.275701i
\(316\) −13.7682 3.08680i −0.774524 0.173646i
\(317\) −17.4125 23.9663i −0.977986 1.34608i −0.937907 0.346886i \(-0.887239\pi\)
−0.0400789 0.999197i \(-0.512761\pi\)
\(318\) −2.46387 + 1.40432i −0.138167 + 0.0787505i
\(319\) 9.91680 7.20498i 0.555234 0.403401i
\(320\) −16.6599 + 6.51507i −0.931319 + 0.364204i
\(321\) −3.59438 2.61147i −0.200619 0.145758i
\(322\) −47.2690 5.23382i −2.63420 0.291670i
\(323\) 20.9300 + 6.80058i 1.16458 + 0.378395i
\(324\) 1.84406 3.11359i 0.102448 0.172977i
\(325\) 28.6935 5.33706i 1.59163 0.296047i
\(326\) 11.5916 + 20.3373i 0.642000 + 1.12638i
\(327\) −0.481308 + 0.245238i −0.0266164 + 0.0135617i
\(328\) 7.21174 + 5.42554i 0.398202 + 0.299575i
\(329\) −8.57667 6.23131i −0.472847 0.343543i
\(330\) −10.2905 10.6747i −0.566473 0.587624i
\(331\) −16.9231 2.68036i −0.930177 0.147326i −0.327083 0.944996i \(-0.606066\pi\)
−0.603094 + 0.797670i \(0.706066\pi\)
\(332\) 12.3640 + 7.32274i 0.678565 + 0.401888i
\(333\) −5.03964 + 3.66151i −0.276171 + 0.200650i
\(334\) −0.972278 20.7580i −0.0532007 1.13583i
\(335\) 28.6303 + 6.46873i 1.56424 + 0.353424i
\(336\) 8.90728 13.0707i 0.485932 0.713066i
\(337\) 6.56191 12.8785i 0.357450 0.701535i −0.640332 0.768098i \(-0.721203\pi\)
0.997782 + 0.0665628i \(0.0212033\pi\)
\(338\) 22.0349 + 20.0630i 1.19854 + 1.09129i
\(339\) 6.42891 3.27569i 0.349171 0.177911i
\(340\) 12.9093 + 8.82866i 0.700105 + 0.478802i
\(341\) 3.67537 + 1.87269i 0.199032 + 0.101412i
\(342\) −17.5994 + 6.64384i −0.951668 + 0.359258i
\(343\) 10.8228 10.8228i 0.584377 0.584377i
\(344\) −3.44729 4.91500i −0.185865 0.264999i
\(345\) −8.99739 14.2499i −0.484403 0.767187i
\(346\) 12.8162 + 1.41906i 0.689002 + 0.0762892i
\(347\) −15.4364 + 21.2464i −0.828669 + 1.14056i 0.159501 + 0.987198i \(0.449012\pi\)
−0.988169 + 0.153367i \(0.950988\pi\)
\(348\) −0.293909 + 4.62441i −0.0157552 + 0.247894i
\(349\) −24.0447 + 24.0447i −1.28708 + 1.28708i −0.350530 + 0.936552i \(0.613999\pi\)
−0.936552 + 0.350530i \(0.886001\pi\)
\(350\) −22.4903 19.4005i −1.20216 1.03700i
\(351\) 28.1004i 1.49989i
\(352\) 28.0843 + 2.25541i 1.49690 + 0.120214i
\(353\) −15.2990 + 2.42313i −0.814286 + 0.128970i −0.549668 0.835383i \(-0.685246\pi\)
−0.264618 + 0.964353i \(0.585246\pi\)
\(354\) 0.974967 + 1.21775i 0.0518189 + 0.0647229i
\(355\) −0.716303 7.76813i −0.0380174 0.412290i
\(356\) 1.30703 + 13.9219i 0.0692727 + 0.737858i
\(357\) −13.8286 −0.731887
\(358\) 9.91454 3.74277i 0.524000 0.197812i
\(359\) 13.2328 4.29958i 0.698398 0.226923i 0.0617658 0.998091i \(-0.480327\pi\)
0.636633 + 0.771167i \(0.280327\pi\)
\(360\) −13.3308 + 1.00550i −0.702595 + 0.0529945i
\(361\) 19.5930 + 6.36617i 1.03121 + 0.335061i
\(362\) 13.1641 0.616591i 0.691892 0.0324073i
\(363\) 4.01649 + 12.3615i 0.210811 + 0.648809i
\(364\) 3.11033 48.9384i 0.163026 2.56507i
\(365\) 0.682671 + 0.272104i 0.0357326 + 0.0142426i
\(366\) −10.5075 + 0.492157i −0.549235 + 0.0257255i
\(367\) 3.67679 23.2144i 0.191927 1.21178i −0.684053 0.729432i \(-0.739784\pi\)
0.875980 0.482348i \(-0.160216\pi\)
\(368\) 30.7407 + 8.97359i 1.60247 + 0.467781i
\(369\) 3.96429 + 5.45638i 0.206373 + 0.284048i
\(370\) 8.80893 + 3.04175i 0.457955 + 0.158133i
\(371\) 8.83754 1.39973i 0.458822 0.0726703i
\(372\) −1.43148 + 0.618371i −0.0742187 + 0.0320610i
\(373\) 14.2908 + 4.64337i 0.739951 + 0.240425i 0.654651 0.755931i \(-0.272815\pi\)
0.0852991 + 0.996355i \(0.472815\pi\)
\(374\) −12.1976 21.4005i −0.630721 1.10659i
\(375\) 0.403099 10.5174i 0.0208159 0.543117i
\(376\) 4.96289 + 5.13113i 0.255941 + 0.264618i
\(377\) 6.52191 + 12.8000i 0.335895 + 0.659232i
\(378\) 22.3239 17.8731i 1.14822 0.919295i
\(379\) −8.09284 + 1.28178i −0.415701 + 0.0658406i −0.360782 0.932650i \(-0.617490\pi\)
−0.0549192 + 0.998491i \(0.517490\pi\)
\(380\) 23.2300 + 15.8870i 1.19167 + 0.814984i
\(381\) −2.12038 0.335835i −0.108630 0.0172053i
\(382\) −5.34158 9.37174i −0.273299 0.479500i
\(383\) −3.12645 0.495180i −0.159754 0.0253025i 0.0760451 0.997104i \(-0.475771\pi\)
−0.235799 + 0.971802i \(0.575771\pi\)
\(384\) −7.42903 + 7.63195i −0.379111 + 0.389466i
\(385\) 18.4802 + 42.9757i 0.941836 + 2.19025i
\(386\) 27.2320 + 17.9005i 1.38607 + 0.911113i
\(387\) −1.38642 4.26695i −0.0704755 0.216901i
\(388\) 10.1807 + 16.0649i 0.516846 + 0.815570i
\(389\) 2.72509 1.38850i 0.138167 0.0703998i −0.383540 0.923524i \(-0.625295\pi\)
0.521708 + 0.853124i \(0.325295\pi\)
\(390\) 14.2430 9.95456i 0.721221 0.504069i
\(391\) −8.65171 26.6272i −0.437536 1.34660i
\(392\) −24.6472 + 17.2871i −1.24487 + 0.873131i
\(393\) −3.90462 3.90462i −0.196962 0.196962i
\(394\) −9.18362 + 20.3222i −0.462664 + 1.02382i
\(395\) 1.44852 + 15.7088i 0.0728829 + 0.790398i
\(396\) 19.5723 + 7.76368i 0.983545 + 0.390140i
\(397\) −15.2013 + 20.9228i −0.762930 + 1.05008i 0.234034 + 0.972228i \(0.424807\pi\)
−0.996965 + 0.0778554i \(0.975193\pi\)
\(398\) −14.1801 + 2.93183i −0.710782 + 0.146959i
\(399\) −24.8842 −1.24577
\(400\) 12.6578 + 15.4849i 0.632888 + 0.774243i
\(401\) 19.3679 0.967186 0.483593 0.875293i \(-0.339332\pi\)
0.483593 + 0.875293i \(0.339332\pi\)
\(402\) 17.1140 3.53843i 0.853567 0.176481i
\(403\) −2.84154 + 3.91104i −0.141547 + 0.194823i
\(404\) 4.78975 12.0750i 0.238299 0.600754i
\(405\) −3.94635 0.891639i −0.196096 0.0443059i
\(406\) 6.02050 13.3226i 0.298792 0.661189i
\(407\) −10.3790 10.3790i −0.514466 0.514466i
\(408\) 9.17145 + 1.60973i 0.454055 + 0.0796936i
\(409\) −9.44668 29.0739i −0.467108 1.43761i −0.856312 0.516459i \(-0.827250\pi\)
0.389203 0.921152i \(-0.372750\pi\)
\(410\) 3.29328 9.53737i 0.162643 0.471017i
\(411\) −10.9487 + 5.57865i −0.540060 + 0.275175i
\(412\) 9.58678 6.07537i 0.472307 0.299312i
\(413\) −1.52092 4.68090i −0.0748395 0.230332i
\(414\) 19.9986 + 13.1457i 0.982876 + 0.646078i
\(415\) 3.54069 15.6710i 0.173806 0.769257i
\(416\) −7.75957 + 32.0951i −0.380444 + 1.57359i
\(417\) −4.15165 0.657556i −0.203307 0.0322007i
\(418\) −21.9492 38.5096i −1.07357 1.88357i
\(419\) 18.4603 + 2.92382i 0.901844 + 0.142838i 0.590102 0.807329i \(-0.299088\pi\)
0.311742 + 0.950167i \(0.399088\pi\)
\(420\) −16.9674 4.98356i −0.827925 0.243173i
\(421\) 2.37862 0.376737i 0.115927 0.0183610i −0.0982013 0.995167i \(-0.531309\pi\)
0.214128 + 0.976806i \(0.431309\pi\)
\(422\) −4.27902 + 3.42590i −0.208299 + 0.166770i
\(423\) 2.42197 + 4.75339i 0.117760 + 0.231118i
\(424\) −6.02421 0.100409i −0.292561 0.00487630i
\(425\) 4.95541 16.7687i 0.240373 0.813399i
\(426\) −2.29997 4.03527i −0.111434 0.195509i
\(427\) 31.5638 + 10.2557i 1.52748 + 0.496309i
\(428\) −3.74313 8.66504i −0.180931 0.418841i
\(429\) −27.0319 + 4.28143i −1.30511 + 0.206709i
\(430\) −4.04407 + 5.35694i −0.195022 + 0.258334i
\(431\) −2.12978 2.93140i −0.102588 0.141200i 0.754637 0.656143i \(-0.227813\pi\)
−0.857225 + 0.514943i \(0.827813\pi\)
\(432\) −16.8863 + 9.25525i −0.812443 + 0.445294i
\(433\) 5.10353 32.2224i 0.245260 1.54851i −0.490604 0.871383i \(-0.663224\pi\)
0.735864 0.677129i \(-0.236776\pi\)
\(434\) 4.91441 0.230185i 0.235899 0.0110492i
\(435\) 5.02087 1.27685i 0.240732 0.0612203i
\(436\) −1.14531 0.0727914i −0.0548505 0.00348608i
\(437\) −15.5685 47.9150i −0.744744 2.29209i
\(438\) 0.437075 0.0204720i 0.0208842 0.000978191i
\(439\) −15.0242 4.88165i −0.717065 0.232989i −0.0723149 0.997382i \(-0.523039\pi\)
−0.644750 + 0.764393i \(0.723039\pi\)
\(440\) −7.25385 30.6537i −0.345814 1.46136i
\(441\) −21.3975 + 6.95246i −1.01893 + 0.331070i
\(442\) 27.0080 10.1956i 1.28464 0.484957i
\(443\) −18.8406 −0.895142 −0.447571 0.894248i \(-0.647711\pi\)
−0.447571 + 0.894248i \(0.647711\pi\)
\(444\) 5.52435 0.518645i 0.262174 0.0246138i
\(445\) 14.3620 6.17587i 0.680825 0.292764i
\(446\) −4.14598 5.17842i −0.196318 0.245205i
\(447\) −15.3701 + 2.43439i −0.726981 + 0.115142i
\(448\) 30.4329 14.2494i 1.43782 0.673223i
\(449\) 26.2697i 1.23974i 0.784703 + 0.619872i \(0.212816\pi\)
−0.784703 + 0.619872i \(0.787184\pi\)
\(450\) 5.65190 + 13.8368i 0.266433 + 0.652274i
\(451\) −11.2372 + 11.2372i −0.529140 + 0.529140i
\(452\) 15.2981 + 0.972288i 0.719564 + 0.0457326i
\(453\) −5.84557 + 8.04574i −0.274649 + 0.378022i
\(454\) 15.2302 + 1.68635i 0.714789 + 0.0791445i
\(455\) −53.1340 + 13.5124i −2.49096 + 0.633473i
\(456\) 16.5038 + 2.89667i 0.772862 + 0.135649i
\(457\) −10.7064 + 10.7064i −0.500825 + 0.500825i −0.911694 0.410869i \(-0.865225\pi\)
0.410869 + 0.911694i \(0.365225\pi\)
\(458\) 15.2542 5.75853i 0.712784 0.269079i
\(459\) 15.0004 + 7.64310i 0.700160 + 0.356749i
\(460\) −1.01954 35.7890i −0.0475363 1.66867i
\(461\) 18.0360 9.18979i 0.840019 0.428011i 0.0196237 0.999807i \(-0.493753\pi\)
0.820396 + 0.571796i \(0.193753\pi\)
\(462\) 20.5948 + 18.7519i 0.958158 + 0.872416i
\(463\) −2.12786 + 4.17615i −0.0988898 + 0.194082i −0.935151 0.354249i \(-0.884737\pi\)
0.836261 + 0.548331i \(0.184737\pi\)
\(464\) −5.54377 + 8.13503i −0.257363 + 0.377659i
\(465\) 1.14991 + 1.31038i 0.0533260 + 0.0607673i
\(466\) 1.74532 + 37.2623i 0.0808503 + 1.72614i
\(467\) −28.2572 + 20.5300i −1.30759 + 0.950016i −0.999999 0.00150409i \(-0.999521\pi\)
−0.307586 + 0.951520i \(0.599521\pi\)
\(468\) −12.5750 + 21.2322i −0.581281 + 0.981461i
\(469\) −54.4589 8.62544i −2.51468 0.398286i
\(470\) 3.75305 7.04365i 0.173115 0.324900i
\(471\) 13.8777 + 10.0828i 0.639453 + 0.464589i
\(472\) 0.463824 + 3.28153i 0.0213492 + 0.151045i
\(473\) 9.41931 4.79938i 0.433100 0.220676i
\(474\) 4.65104 + 8.16019i 0.213629 + 0.374810i
\(475\) 8.91714 30.1748i 0.409146 1.38451i
\(476\) −25.2781 14.9712i −1.15862 0.686205i
\(477\) −4.28233 1.39141i −0.196074 0.0637084i
\(478\) 24.2069 + 2.68029i 1.10720 + 0.122594i
\(479\) 21.3304 + 15.4975i 0.974612 + 0.708097i 0.956498 0.291739i \(-0.0942337\pi\)
0.0181143 + 0.999836i \(0.494234\pi\)
\(480\) 10.6731 + 5.28032i 0.487157 + 0.241013i
\(481\) 13.9168 10.1112i 0.634553 0.461030i
\(482\) 28.7790 16.4031i 1.31085 0.747139i
\(483\) 18.6079 + 25.6116i 0.846691 + 1.16537i
\(484\) −6.04091 + 26.9446i −0.274587 + 1.22475i
\(485\) 13.5918 16.3530i 0.617171 0.742552i
\(486\) −22.3604 + 4.62316i −1.01429 + 0.209711i
\(487\) 1.37271 2.69410i 0.0622035 0.122081i −0.857811 0.513965i \(-0.828176\pi\)
0.920015 + 0.391883i \(0.128176\pi\)
\(488\) −19.7401 10.4761i −0.893591 0.474229i
\(489\) 4.81526 14.8198i 0.217753 0.670176i
\(490\) 26.8634 + 20.2798i 1.21357 + 0.916146i
\(491\) −9.40498 + 18.4583i −0.424441 + 0.833012i 0.575444 + 0.817841i \(0.304829\pi\)
−0.999885 + 0.0151708i \(0.995171\pi\)
\(492\) −0.561533 5.98117i −0.0253158 0.269652i
\(493\) 8.60672 0.387627
\(494\) 48.6003 18.3468i 2.18663 0.825461i
\(495\) 1.53213 23.4913i 0.0688643 1.05585i
\(496\) −3.28615 0.419402i −0.147552 0.0188317i
\(497\) 2.29245 + 14.4739i 0.102830 + 0.649245i
\(498\) −1.93678 9.36741i −0.0867891 0.419764i
\(499\) 22.1178 + 22.1178i 0.990128 + 0.990128i 0.999952 0.00982352i \(-0.00312697\pi\)
−0.00982352 + 0.999952i \(0.503127\pi\)
\(500\) 12.1233 18.7890i 0.542170 0.840269i
\(501\) −9.78146 + 9.78146i −0.437003 + 0.437003i
\(502\) −22.3025 + 33.9287i −0.995409 + 1.51431i
\(503\) 41.3967 6.55660i 1.84579 0.292344i 0.867168 0.498016i \(-0.165938\pi\)
0.978621 + 0.205671i \(0.0659378\pi\)
\(504\) 24.8659 3.51464i 1.10762 0.156554i
\(505\) −14.4928 0.945240i −0.644920 0.0420626i
\(506\) −23.2222 + 51.3876i −1.03235 + 2.28446i
\(507\) 19.8371i 0.880998i
\(508\) −3.51238 2.90947i −0.155837 0.129087i
\(509\) −5.19786 2.64844i −0.230391 0.117390i 0.334985 0.942224i \(-0.391269\pi\)
−0.565376 + 0.824833i \(0.691269\pi\)
\(510\) −1.43991 10.3107i −0.0637603 0.456565i
\(511\) −1.31295 0.426602i −0.0580813 0.0188718i
\(512\) −21.8425 + 5.90801i −0.965312 + 0.261100i
\(513\) 26.9929 + 13.7536i 1.19177 + 0.607235i
\(514\) 1.90901 2.90417i 0.0842030 0.128098i
\(515\) −9.75873 8.11096i −0.430021 0.357412i
\(516\) −0.874253 + 3.89948i −0.0384868 + 0.171665i
\(517\) −10.1697 + 7.38870i −0.447262 + 0.324955i
\(518\) −16.8844 4.62484i −0.741857 0.203204i
\(519\) −5.04523 6.94416i −0.221461 0.304815i
\(520\) 36.8126 2.77666i 1.61434 0.121765i
\(521\) −10.4815 + 14.4266i −0.459205 + 0.632041i −0.974344 0.225066i \(-0.927740\pi\)
0.515139 + 0.857107i \(0.327740\pi\)
\(522\) −5.74311 + 4.59809i −0.251369 + 0.201253i
\(523\) −6.58102 + 20.2543i −0.287768 + 0.885659i 0.697787 + 0.716305i \(0.254168\pi\)
−0.985555 + 0.169354i \(0.945832\pi\)
\(524\) −2.91023 11.3647i −0.127134 0.496470i
\(525\) 0.530231 + 19.7644i 0.0231412 + 0.862588i
\(526\) −3.47532 + 12.6877i −0.151531 + 0.553211i
\(527\) 1.31489 + 2.58063i 0.0572777 + 0.112414i
\(528\) −11.4761 14.8340i −0.499435 0.645569i
\(529\) −24.1548 + 33.2462i −1.05021 + 1.44549i
\(530\) 1.96386 + 6.44358i 0.0853047 + 0.279891i
\(531\) −0.387452 + 2.44627i −0.0168140 + 0.106159i
\(532\) −45.4873 26.9404i −1.97213 1.16801i
\(533\) −10.9473 15.0676i −0.474180 0.652652i
\(534\) 6.26667 6.88256i 0.271185 0.297838i
\(535\) −7.93199 + 6.96067i −0.342930 + 0.300936i
\(536\) 35.1144 + 12.0599i 1.51671 + 0.520910i
\(537\) −6.28551 3.20263i −0.271240 0.138204i
\(538\) −30.7848 + 1.44192i −1.32723 + 0.0621657i
\(539\) −24.0674 47.2350i −1.03666 2.03455i
\(540\) 15.6508 + 14.7838i 0.673504 + 0.636194i
\(541\) 18.3333 35.9811i 0.788210 1.54695i −0.0481961 0.998838i \(-0.515347\pi\)
0.836406 0.548111i \(-0.184653\pi\)
\(542\) 5.03074 + 2.27340i 0.216089 + 0.0976509i
\(543\) −6.20313 6.20313i −0.266202 0.266202i
\(544\) 15.0223 + 12.8718i 0.644075 + 0.551873i
\(545\) 0.316233 + 1.24350i 0.0135459 + 0.0532657i
\(546\) −25.4817 + 20.4013i −1.09052 + 0.873096i
\(547\) 23.7113 + 17.2273i 1.01382 + 0.736585i 0.965007 0.262223i \(-0.0844556\pi\)
0.0488147 + 0.998808i \(0.484456\pi\)
\(548\) −26.0534 1.65585i −1.11295 0.0707343i
\(549\) −11.8095 11.8095i −0.504016 0.504016i
\(550\) −30.1187 + 18.2538i −1.28427 + 0.778344i
\(551\) 15.4876 0.659794
\(552\) −9.35988 19.1523i −0.398383 0.815177i
\(553\) −4.63582 29.2694i −0.197135 1.24466i
\(554\) −5.13185 0.568221i −0.218032 0.0241414i
\(555\) −2.45065 5.69900i −0.104024 0.241909i
\(556\) −6.87714 5.69667i −0.291656 0.241593i
\(557\) 7.69921i 0.326226i −0.986607 0.163113i \(-0.947847\pi\)
0.986607 0.163113i \(-0.0521535\pi\)
\(558\) −2.25609 1.01953i −0.0955079 0.0431602i
\(559\) 3.82855 + 11.7831i 0.161931 + 0.498371i
\(560\) −25.6204 27.4791i −1.08266 1.16121i
\(561\) −5.06697 + 15.5945i −0.213928 + 0.658402i
\(562\) −21.4463 + 23.5541i −0.904659 + 0.993570i
\(563\) −12.4857 + 4.05684i −0.526208 + 0.170975i −0.560061 0.828452i \(-0.689222\pi\)
0.0338529 + 0.999427i \(0.489222\pi\)
\(564\) 0.301403 4.74233i 0.0126914 0.199688i
\(565\) −4.22399 16.6097i −0.177704 0.698774i
\(566\) 6.83150 + 6.22018i 0.287149 + 0.261453i
\(567\) 7.50652 + 1.18892i 0.315244 + 0.0499298i
\(568\) 0.164448 9.86631i 0.00690008 0.413981i
\(569\) 29.4291 21.3815i 1.23373 0.896358i 0.236567 0.971615i \(-0.423978\pi\)
0.997164 + 0.0752575i \(0.0239779\pi\)
\(570\) −2.59108 18.5538i −0.108529 0.777134i
\(571\) −1.26343 7.97698i −0.0528729 0.333826i −0.999919 0.0127287i \(-0.995948\pi\)
0.947046 0.321098i \(-0.104052\pi\)
\(572\) −54.0483 21.4392i −2.25987 0.896418i
\(573\) −2.21894 + 6.82920i −0.0926976 + 0.285294i
\(574\) −5.00728 + 18.2806i −0.209000 + 0.763018i
\(575\) −37.7249 + 13.3863i −1.57324 + 0.558248i
\(576\) −16.9008 0.563548i −0.704199 0.0234812i
\(577\) −18.7291 + 9.54294i −0.779702 + 0.397278i −0.798079 0.602553i \(-0.794150\pi\)
0.0183770 + 0.999831i \(0.494150\pi\)
\(578\) −0.742425 + 6.70517i −0.0308808 + 0.278898i
\(579\) −3.39355 21.4260i −0.141031 0.890436i
\(580\) 10.5603 + 3.10170i 0.438492 + 0.128791i
\(581\) −4.72118 + 29.8084i −0.195868 + 1.23666i
\(582\) 3.34464 12.2106i 0.138640 0.506146i
\(583\) 1.65971 10.4790i 0.0687382 0.433996i
\(584\) 0.821118 + 0.435767i 0.0339781 + 0.0180322i
\(585\) 26.9111 + 6.08028i 1.11264 + 0.251389i
\(586\) −28.3110 + 5.85350i −1.16952 + 0.241806i
\(587\) 10.5984 3.44363i 0.437443 0.142134i −0.0820124 0.996631i \(-0.526135\pi\)
0.519456 + 0.854497i \(0.326135\pi\)
\(588\) 19.5547 + 4.38411i 0.806423 + 0.180798i
\(589\) 2.36612 + 4.64378i 0.0974944 + 0.191343i
\(590\) 3.33174 1.62141i 0.137166 0.0667523i
\(591\) 14.1184 4.58735i 0.580754 0.188698i
\(592\) 10.6598 + 5.03275i 0.438114 + 0.206845i
\(593\) −23.0688 + 23.0688i −0.947320 + 0.947320i −0.998680 0.0513599i \(-0.983644\pi\)
0.0513599 + 0.998680i \(0.483644\pi\)
\(594\) −11.9758 31.7237i −0.491374 1.30164i
\(595\) −7.23889 + 32.0390i −0.296765 + 1.31347i
\(596\) −30.7314 12.1901i −1.25881 0.499328i
\(597\) 7.79800 + 5.66558i 0.319151 + 0.231877i
\(598\) −55.2255 36.3016i −2.25834 1.48448i
\(599\) 0.446885i 0.0182592i 0.999958 + 0.00912961i \(0.00290608\pi\)
−0.999958 + 0.00912961i \(0.997094\pi\)
\(600\) 1.94903 13.1699i 0.0795688 0.537660i
\(601\) 12.0986i 0.493513i 0.969078 + 0.246756i \(0.0793647\pi\)
−0.969078 + 0.246756i \(0.920635\pi\)
\(602\) 6.92574 10.5361i 0.282272 0.429419i
\(603\) 22.4475 + 16.3091i 0.914134 + 0.664157i
\(604\) −19.3960 + 8.37869i −0.789212 + 0.340924i
\(605\) 30.7424 2.83477i 1.24986 0.115250i
\(606\) −8.08996 + 3.05399i −0.328632 + 0.124060i
\(607\) −17.7406 + 17.7406i −0.720067 + 0.720067i −0.968619 0.248551i \(-0.920046\pi\)
0.248551 + 0.968619i \(0.420046\pi\)
\(608\) 27.0323 + 23.1625i 1.09630 + 0.939363i
\(609\) −9.25560 + 3.00733i −0.375056 + 0.121863i
\(610\) −4.36012 + 24.6021i −0.176536 + 0.996108i
\(611\) −6.68821 13.1264i −0.270576 0.531036i
\(612\) 7.91378 + 12.4877i 0.319896 + 0.504787i
\(613\) 40.3044 13.0957i 1.62788 0.528930i 0.654096 0.756411i \(-0.273049\pi\)
0.973782 + 0.227482i \(0.0730491\pi\)
\(614\) 0.547564 + 2.64835i 0.0220979 + 0.106879i
\(615\) −6.17026 + 2.65330i −0.248809 + 0.106991i
\(616\) 17.3452 + 56.5741i 0.698856 + 2.27944i
\(617\) 0.334459 2.11169i 0.0134648 0.0850134i −0.980041 0.198796i \(-0.936297\pi\)
0.993506 + 0.113783i \(0.0362968\pi\)
\(618\) −7.28674 1.99593i −0.293116 0.0802881i
\(619\) 3.96648 25.0434i 0.159426 1.00658i −0.770127 0.637891i \(-0.779807\pi\)
0.929553 0.368688i \(-0.120193\pi\)
\(620\) 0.683342 + 3.64024i 0.0274437 + 0.146196i
\(621\) −6.02916 38.0666i −0.241942 1.52756i
\(622\) 16.7962 + 1.85974i 0.673464 + 0.0745689i
\(623\) −26.1668 + 13.3327i −1.04835 + 0.534162i
\(624\) 19.2749 10.5644i 0.771614 0.422916i
\(625\) −24.1564 6.43950i −0.966257 0.257580i
\(626\) 31.5753 + 8.64885i 1.26200 + 0.345678i
\(627\) −9.11790 + 28.0620i −0.364134 + 1.12069i
\(628\) 14.4520 + 33.4553i 0.576699 + 1.33501i
\(629\) −1.61222 10.1792i −0.0642835 0.405870i
\(630\) −12.2863 25.2464i −0.489496 1.00584i
\(631\) 33.7936 24.5525i 1.34530 0.977420i 0.346072 0.938208i \(-0.387515\pi\)
0.999231 0.0392117i \(-0.0124847\pi\)
\(632\) −0.332549 + 19.9518i −0.0132281 + 0.793641i
\(633\) 3.60393 + 0.570806i 0.143243 + 0.0226875i
\(634\) −28.2055 + 30.9776i −1.12018 + 1.23028i
\(635\) −1.88804 + 4.73683i −0.0749247 + 0.187975i
\(636\) 2.65039 + 3.01015i 0.105095 + 0.119360i
\(637\) 59.0886 19.1990i 2.34117 0.760693i
\(638\) −12.8179 11.6709i −0.507467 0.462055i
\(639\) 2.27882 7.01350i 0.0901489 0.277450i
\(640\) 13.7933 + 21.2072i 0.545229 + 0.838287i
\(641\) −7.42163 22.8414i −0.293137 0.902182i −0.983841 0.179044i \(-0.942699\pi\)
0.690704 0.723137i \(-0.257301\pi\)
\(642\) −2.58746 + 5.72572i −0.102119 + 0.225976i
\(643\) 30.7630i 1.21317i −0.795017 0.606587i \(-0.792538\pi\)
0.795017 0.606587i \(-0.207462\pi\)
\(644\) 6.28667 + 66.9625i 0.247729 + 2.63869i
\(645\) 4.44910 0.410254i 0.175183 0.0161537i
\(646\) 3.42512 30.9338i 0.134760 1.21707i
\(647\) 2.44030 + 15.4075i 0.0959382 + 0.605730i 0.988076 + 0.153967i \(0.0492049\pi\)
−0.892138 + 0.451763i \(0.850795\pi\)
\(648\) −4.84011 1.66232i −0.190137 0.0653022i
\(649\) −5.83595 −0.229081
\(650\) −15.6076 38.2100i −0.612179 1.49872i
\(651\) −2.31574 2.31574i −0.0907610 0.0907610i
\(652\) 24.8464 21.8769i 0.973062 0.856766i
\(653\) 23.8576 + 17.3335i 0.933618 + 0.678313i 0.946876 0.321599i \(-0.104220\pi\)
−0.0132579 + 0.999912i \(0.504220\pi\)
\(654\) 0.477455 + 0.596351i 0.0186700 + 0.0233192i
\(655\) −11.0904 + 7.00251i −0.433339 + 0.273611i
\(656\) 5.44892 11.5413i 0.212745 0.450610i
\(657\) 0.491233 + 0.491233i 0.0191648 + 0.0191648i
\(658\) −6.17402 + 13.6623i −0.240688 + 0.532612i
\(659\) 0.124705 0.244747i 0.00485781 0.00953399i −0.888565 0.458751i \(-0.848297\pi\)
0.893423 + 0.449217i \(0.148297\pi\)
\(660\) −11.8371 + 17.3082i −0.460757 + 0.673719i
\(661\) 15.8913 + 31.1885i 0.618101 + 1.21309i 0.961733 + 0.273988i \(0.0883427\pi\)
−0.343632 + 0.939104i \(0.611657\pi\)
\(662\) 1.13372 + 24.2047i 0.0440631 + 0.940741i
\(663\) −17.1223 8.72423i −0.664974 0.338821i
\(664\) 6.60107 19.2200i 0.256171 0.745882i
\(665\) −13.0262 + 57.6534i −0.505135 + 2.23570i
\(666\) 6.51397 + 5.93106i 0.252411 + 0.229824i
\(667\) −11.5813 15.9403i −0.448431 0.617212i
\(668\) −28.4698 + 7.29042i −1.10153 + 0.282075i
\(669\) −0.690783 + 4.36143i −0.0267072 + 0.168623i
\(670\) 0.760616 41.5030i 0.0293852 1.60340i
\(671\) 23.1308 31.8368i 0.892954 1.22905i
\(672\) −20.6525 8.59319i −0.796686 0.331489i
\(673\) −14.9021 29.2470i −0.574434 1.12739i −0.977246 0.212108i \(-0.931967\pi\)
0.402812 0.915283i \(-0.368033\pi\)
\(674\) −19.7146 5.40008i −0.759379 0.208003i
\(675\) 10.3487 21.7323i 0.398320 0.836475i
\(676\) 21.4762 36.2614i 0.826009 1.39467i
\(677\) 1.86961 5.75407i 0.0718550 0.221147i −0.908679 0.417495i \(-0.862908\pi\)
0.980534 + 0.196348i \(0.0629082\pi\)
\(678\) −6.37745 7.96557i −0.244924 0.305916i
\(679\) −23.4787 + 32.3157i −0.901032 + 1.24016i
\(680\) 8.53053 20.4064i 0.327131 0.782549i
\(681\) −5.99554 8.25215i −0.229749 0.316223i
\(682\) 1.54112 5.62633i 0.0590126 0.215443i
\(683\) −10.3789 + 7.54074i −0.397139 + 0.288538i −0.768375 0.640000i \(-0.778934\pi\)
0.371236 + 0.928539i \(0.378934\pi\)
\(684\) 14.2407 + 22.4714i 0.544505 + 0.859216i
\(685\) 7.19363 + 28.2870i 0.274855 + 1.08079i
\(686\) −18.0878 11.8897i −0.690594 0.453951i
\(687\) −9.67073 4.92748i −0.368961 0.187995i
\(688\) −5.81978 + 6.18159i −0.221877 + 0.235671i
\(689\) 11.8255 + 3.84235i 0.450517 + 0.146382i
\(690\) −17.1586 + 16.5410i −0.653218 + 0.629706i
\(691\) 1.68109 + 0.856557i 0.0639516 + 0.0325849i 0.485674 0.874140i \(-0.338574\pi\)
−0.421722 + 0.906725i \(0.638574\pi\)
\(692\) −1.70452 18.1557i −0.0647962 0.690177i
\(693\) 44.2221i 1.67986i
\(694\) 33.8446 + 15.2945i 1.28473 + 0.580570i
\(695\) −3.69674 + 9.27459i −0.140225 + 0.351805i
\(696\) 6.48860 0.917123i 0.245950 0.0347635i
\(697\) −11.0209 + 1.74554i −0.417447 + 0.0661171i
\(698\) 40.1850 + 26.4150i 1.52102 + 0.999822i
\(699\) 17.5585 17.5585i 0.664125 0.664125i
\(700\) −20.4282 + 36.7025i −0.772114 + 1.38722i
\(701\) 3.62962 + 3.62962i 0.137089 + 0.137089i 0.772321 0.635232i \(-0.219096\pi\)
−0.635232 + 0.772321i \(0.719096\pi\)
\(702\) 38.9169 8.04634i 1.46882 0.303690i
\(703\) −2.90116 18.3172i −0.109419 0.690846i
\(704\) −4.91816 39.5404i −0.185360 1.49023i
\(705\) −5.14890 + 1.30941i −0.193919 + 0.0493152i
\(706\) 7.73661 + 20.4941i 0.291171 + 0.771307i
\(707\) 27.2825 1.02607
\(708\) 1.40732 1.69895i 0.0528903 0.0638504i
\(709\) −13.0958 + 25.7019i −0.491822 + 0.965255i 0.503064 + 0.864249i \(0.332206\pi\)
−0.994886 + 0.101006i \(0.967794\pi\)
\(710\) −10.5531 + 3.21637i −0.396053 + 0.120708i
\(711\) −4.60827 + 14.1828i −0.172824 + 0.531897i
\(712\) 18.9065 5.79656i 0.708550 0.217235i
\(713\) 3.01018 5.90782i 0.112732 0.221249i
\(714\) 3.95971 + 19.1515i 0.148188 + 0.716728i
\(715\) −4.23095 + 64.8705i −0.158228 + 2.42602i
\(716\) −8.02240 12.6591i −0.299811 0.473094i
\(717\) −9.52931 13.1160i −0.355879 0.489825i
\(718\) −9.74368 17.0952i −0.363631 0.637987i
\(719\) −37.7278 + 27.4109i −1.40701 + 1.02225i −0.413261 + 0.910613i \(0.635610\pi\)
−0.993749 + 0.111640i \(0.964390\pi\)
\(720\) 5.20971 + 18.1742i 0.194154 + 0.677312i
\(721\) 19.2846 + 14.0111i 0.718195 + 0.521799i
\(722\) 3.20632 28.9577i 0.119327 1.07770i
\(723\) −20.9713 6.81398i −0.779930 0.253415i
\(724\) −4.62338 18.0547i −0.171827 0.670999i
\(725\) −0.330008 12.3011i −0.0122562 0.456850i
\(726\) 15.9696 9.10213i 0.592687 0.337812i
\(727\) 3.64477 1.85710i 0.135177 0.0688761i −0.385094 0.922877i \(-0.625831\pi\)
0.520271 + 0.854001i \(0.325831\pi\)
\(728\) −68.6665 + 9.70558i −2.54495 + 0.359713i
\(729\) 7.90519 + 5.74346i 0.292785 + 0.212721i
\(730\) 0.181366 1.02336i 0.00671264 0.0378763i
\(731\) 7.33132 + 1.16117i 0.271159 + 0.0429473i
\(732\) 3.69034 + 14.4111i 0.136399 + 0.532650i
\(733\) 9.12766 6.63164i 0.337138 0.244945i −0.406315 0.913733i \(-0.633187\pi\)
0.743453 + 0.668788i \(0.233187\pi\)
\(734\) −33.2029 + 1.55518i −1.22554 + 0.0574028i
\(735\) −2.05730 22.3109i −0.0758846 0.822950i
\(736\) 3.62537 45.1429i 0.133633 1.66399i
\(737\) −29.6814 + 58.2530i −1.09333 + 2.14578i
\(738\) 6.42152 7.05263i 0.236379 0.259611i
\(739\) 8.93991 4.55511i 0.328860 0.167563i −0.281763 0.959484i \(-0.590919\pi\)
0.610623 + 0.791922i \(0.290919\pi\)
\(740\) 1.69021 13.0707i 0.0621335 0.480487i
\(741\) −30.8111 15.6990i −1.13187 0.576719i
\(742\) −4.46908 11.8385i −0.164065 0.434605i
\(743\) 13.7813 13.7813i 0.505586 0.505586i −0.407582 0.913168i \(-0.633628\pi\)
0.913168 + 0.407582i \(0.133628\pi\)
\(744\) 1.26629 + 1.80542i 0.0464243 + 0.0661899i
\(745\) −2.40568 + 36.8848i −0.0881373 + 1.35135i
\(746\) 2.33864 21.1213i 0.0856236 0.773304i
\(747\) 8.92686 12.2868i 0.326617 0.449549i
\(748\) −26.1453 + 23.0205i −0.955967 + 0.841714i
\(749\) 14.0177 14.0177i 0.512194 0.512194i
\(750\) −14.6812 + 2.45332i −0.536082 + 0.0895826i
\(751\) 27.5825i 1.00650i 0.864141 + 0.503250i \(0.167862\pi\)
−0.864141 + 0.503250i \(0.832138\pi\)
\(752\) 5.68513 8.34247i 0.207315 0.304219i
\(753\) 26.6950 4.22807i 0.972819 0.154079i
\(754\) 15.8595 12.6975i 0.577567 0.462416i
\(755\) 15.5809 + 17.7551i 0.567047 + 0.646175i
\(756\) −31.1452 25.7991i −1.13274 0.938303i
\(757\) −1.54360 −0.0561030 −0.0280515 0.999606i \(-0.508930\pi\)
−0.0280515 + 0.999606i \(0.508930\pi\)
\(758\) 4.09248 + 10.8409i 0.148646 + 0.393760i
\(759\) 35.7005 11.5998i 1.29585 0.421046i
\(760\) 15.3505 36.7208i 0.556821 1.33200i
\(761\) 23.8835 + 7.76023i 0.865777 + 0.281308i 0.708039 0.706173i \(-0.249580\pi\)
0.157738 + 0.987481i \(0.449580\pi\)
\(762\) 0.142049 + 3.03272i 0.00514589 + 0.109864i
\(763\) −0.744814 2.29230i −0.0269641 0.0829869i
\(764\) −11.4496 + 10.0812i −0.414232 + 0.364725i
\(765\) 10.5653 12.7117i 0.381991 0.459594i
\(766\) 0.209447 + 4.47167i 0.00756765 + 0.161568i
\(767\) 1.06994 6.75532i 0.0386332 0.243920i
\(768\) 12.6969 + 8.10328i 0.458160 + 0.292402i
\(769\) 8.35034 + 11.4933i 0.301121 + 0.414458i 0.932587 0.360946i \(-0.117546\pi\)
−0.631465 + 0.775404i \(0.717546\pi\)
\(770\) 54.2264 37.8993i 1.95418 1.36580i
\(771\) −2.28499 + 0.361908i −0.0822921 + 0.0130338i
\(772\) 16.9932 42.8398i 0.611597 1.54184i
\(773\) 4.25935 + 1.38395i 0.153198 </