Properties

Label 475.2.bc.a.6.17
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 6.17
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.918651 - 0.574037i) q^{2} +(-1.08630 + 0.311492i) q^{3} +(-0.362341 - 0.742910i) q^{4} +(-0.569939 - 2.16221i) q^{5} +(1.17674 + 0.337424i) q^{6} +(-1.35582 + 2.34835i) q^{7} +(-0.320054 + 3.04511i) q^{8} +(-1.46112 + 0.913011i) q^{9} +O(q^{10})\) \(q+(-0.918651 - 0.574037i) q^{2} +(-1.08630 + 0.311492i) q^{3} +(-0.362341 - 0.742910i) q^{4} +(-0.569939 - 2.16221i) q^{5} +(1.17674 + 0.337424i) q^{6} +(-1.35582 + 2.34835i) q^{7} +(-0.320054 + 3.04511i) q^{8} +(-1.46112 + 0.913011i) q^{9} +(-0.717615 + 2.31348i) q^{10} +(0.234143 - 0.260042i) q^{11} +(0.625022 + 0.694157i) q^{12} +(0.0306491 + 0.877676i) q^{13} +(2.59356 - 1.37902i) q^{14} +(1.29264 + 2.17128i) q^{15} +(1.02426 - 1.31099i) q^{16} +(5.64801 - 0.394948i) q^{17} +1.86636 q^{18} +(4.32744 - 0.522754i) q^{19} +(-1.39982 + 1.20687i) q^{20} +(0.741336 - 2.97334i) q^{21} +(-0.364369 + 0.104481i) q^{22} +(-4.73422 + 0.665352i) q^{23} +(-0.600851 - 3.40760i) q^{24} +(-4.35034 + 2.46466i) q^{25} +(0.475662 - 0.823871i) q^{26} +(3.57133 - 3.96637i) q^{27} +(2.23588 + 0.156348i) q^{28} +(-3.35920 - 0.234898i) q^{29} +(0.0589145 - 2.73667i) q^{30} +(8.11144 - 3.61145i) q^{31} +(4.06097 - 1.47807i) q^{32} +(-0.173348 + 0.355417i) q^{33} +(-5.41527 - 2.87935i) q^{34} +(5.85036 + 1.59316i) q^{35} +(1.20771 + 0.754662i) q^{36} +(-2.08017 + 6.40210i) q^{37} +(-4.27548 - 2.00388i) q^{38} +(-0.306683 - 0.943873i) q^{39} +(6.76659 - 1.04350i) q^{40} +(3.28618 - 4.20612i) q^{41} +(-2.38783 + 2.30590i) q^{42} +(2.07113 + 11.7459i) q^{43} +(-0.278027 - 0.0797231i) q^{44} +(2.80688 + 2.63890i) q^{45} +(4.73103 + 2.10639i) q^{46} +(13.0163 + 0.910185i) q^{47} +(-0.704287 + 1.74317i) q^{48} +(-0.176490 - 0.305690i) q^{49} +(5.41125 + 0.233093i) q^{50} +(-6.01241 + 2.18834i) q^{51} +(0.640929 - 0.340788i) q^{52} +(1.97642 + 4.05225i) q^{53} +(-5.55764 + 1.59363i) q^{54} +(-0.695713 - 0.358059i) q^{55} +(-6.71704 - 4.88021i) q^{56} +(-4.53806 + 1.91583i) q^{57} +(2.95109 + 2.14409i) q^{58} +(0.641277 + 1.58722i) q^{59} +(1.14469 - 1.74706i) q^{60} +(-15.2276 + 2.14010i) q^{61} +(-9.52468 - 1.33861i) q^{62} +(-0.163049 - 4.66910i) q^{63} +(-7.83370 - 1.66510i) q^{64} +(1.88026 - 0.566492i) q^{65} +(0.363269 - 0.226996i) q^{66} +(1.09333 + 4.38511i) q^{67} +(-2.33992 - 4.05286i) q^{68} +(4.93553 - 2.19744i) q^{69} +(-4.45991 - 4.82188i) q^{70} +(9.87156 + 9.53285i) q^{71} +(-2.31258 - 4.74149i) q^{72} +(-0.239648 + 6.86261i) q^{73} +(5.58598 - 4.68720i) q^{74} +(3.95805 - 4.03245i) q^{75} +(-1.95637 - 3.02548i) q^{76} +(0.293213 + 0.902418i) q^{77} +(-0.260083 + 1.04314i) q^{78} +(-4.86932 + 1.39626i) q^{79} +(-3.41840 - 1.46748i) q^{80} +(-0.378206 + 0.775437i) q^{81} +(-5.43332 + 1.97757i) q^{82} +(0.0608704 - 0.0271012i) q^{83} +(-2.47754 + 0.526617i) q^{84} +(-4.07298 - 11.9871i) q^{85} +(4.83996 - 11.9793i) q^{86} +(3.72226 - 0.791192i) q^{87} +(0.716918 + 0.796218i) q^{88} +(-2.32289 - 2.97316i) q^{89} +(-1.06371 - 4.03548i) q^{90} +(-2.10264 - 1.11800i) q^{91} +(2.20970 + 3.27602i) q^{92} +(-7.68652 + 6.44976i) q^{93} +(-11.4349 - 8.30795i) q^{94} +(-3.59668 - 9.05891i) q^{95} +(-3.95102 + 2.87059i) q^{96} +(0.348191 - 1.39652i) q^{97} +(-0.0133444 + 0.382134i) q^{98} +(-0.104690 + 0.593728i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.918651 0.574037i −0.649584 0.405905i 0.164723 0.986340i \(-0.447327\pi\)
−0.814307 + 0.580435i \(0.802883\pi\)
\(3\) −1.08630 + 0.311492i −0.627176 + 0.179840i −0.574146 0.818753i \(-0.694666\pi\)
−0.0530300 + 0.998593i \(0.516888\pi\)
\(4\) −0.362341 0.742910i −0.181171 0.371455i
\(5\) −0.569939 2.16221i −0.254884 0.966972i
\(6\) 1.17674 + 0.337424i 0.480401 + 0.137753i
\(7\) −1.35582 + 2.34835i −0.512451 + 0.887592i 0.487444 + 0.873154i \(0.337929\pi\)
−0.999896 + 0.0144378i \(0.995404\pi\)
\(8\) −0.320054 + 3.04511i −0.113156 + 1.07661i
\(9\) −1.46112 + 0.913011i −0.487041 + 0.304337i
\(10\) −0.717615 + 2.31348i −0.226930 + 0.731588i
\(11\) 0.234143 0.260042i 0.0705967 0.0784056i −0.706812 0.707402i \(-0.749867\pi\)
0.777408 + 0.628996i \(0.216534\pi\)
\(12\) 0.625022 + 0.694157i 0.180428 + 0.200386i
\(13\) 0.0306491 + 0.877676i 0.00850054 + 0.243424i 0.996202 + 0.0870721i \(0.0277510\pi\)
−0.987701 + 0.156352i \(0.950027\pi\)
\(14\) 2.59356 1.37902i 0.693158 0.368559i
\(15\) 1.29264 + 2.17128i 0.333757 + 0.560623i
\(16\) 1.02426 1.31099i 0.256064 0.327747i
\(17\) 5.64801 0.394948i 1.36984 0.0957889i 0.634207 0.773164i \(-0.281327\pi\)
0.735638 + 0.677375i \(0.236882\pi\)
\(18\) 1.86636 0.439906
\(19\) 4.32744 0.522754i 0.992783 0.119928i
\(20\) −1.39982 + 1.20687i −0.313009 + 0.269865i
\(21\) 0.741336 2.97334i 0.161773 0.648835i
\(22\) −0.364369 + 0.104481i −0.0776837 + 0.0222754i
\(23\) −4.73422 + 0.665352i −0.987154 + 0.138735i −0.614230 0.789127i \(-0.710533\pi\)
−0.372923 + 0.927862i \(0.621645\pi\)
\(24\) −0.600851 3.40760i −0.122648 0.695573i
\(25\) −4.35034 + 2.46466i −0.870068 + 0.492932i
\(26\) 0.475662 0.823871i 0.0932851 0.161574i
\(27\) 3.57133 3.96637i 0.687303 0.763327i
\(28\) 2.23588 + 0.156348i 0.422542 + 0.0295470i
\(29\) −3.35920 0.234898i −0.623787 0.0436194i −0.245634 0.969363i \(-0.578996\pi\)
−0.378153 + 0.925743i \(0.623441\pi\)
\(30\) 0.0589145 2.73667i 0.0107563 0.499645i
\(31\) 8.11144 3.61145i 1.45686 0.648635i 0.482964 0.875640i \(-0.339560\pi\)
0.973893 + 0.227005i \(0.0728935\pi\)
\(32\) 4.06097 1.47807i 0.717885 0.261289i
\(33\) −0.173348 + 0.355417i −0.0301761 + 0.0618701i
\(34\) −5.41527 2.87935i −0.928710 0.493804i
\(35\) 5.85036 + 1.59316i 0.988892 + 0.269293i
\(36\) 1.20771 + 0.754662i 0.201285 + 0.125777i
\(37\) −2.08017 + 6.40210i −0.341977 + 1.05250i 0.621205 + 0.783648i \(0.286644\pi\)
−0.963182 + 0.268850i \(0.913356\pi\)
\(38\) −4.27548 2.00388i −0.693575 0.325072i
\(39\) −0.306683 0.943873i −0.0491086 0.151141i
\(40\) 6.76659 1.04350i 1.06989 0.164992i
\(41\) 3.28618 4.20612i 0.513215 0.656886i −0.459693 0.888078i \(-0.652040\pi\)
0.972908 + 0.231192i \(0.0742627\pi\)
\(42\) −2.38783 + 2.30590i −0.368450 + 0.355808i
\(43\) 2.07113 + 11.7459i 0.315844 + 1.79124i 0.567449 + 0.823409i \(0.307930\pi\)
−0.251605 + 0.967830i \(0.580958\pi\)
\(44\) −0.278027 0.0797231i −0.0419142 0.0120187i
\(45\) 2.80688 + 2.63890i 0.418425 + 0.393384i
\(46\) 4.73103 + 2.10639i 0.697553 + 0.310570i
\(47\) 13.0163 + 0.910185i 1.89862 + 0.132764i 0.970741 0.240127i \(-0.0771892\pi\)
0.927875 + 0.372892i \(0.121634\pi\)
\(48\) −0.704287 + 1.74317i −0.101655 + 0.251605i
\(49\) −0.176490 0.305690i −0.0252129 0.0436700i
\(50\) 5.41125 + 0.233093i 0.765266 + 0.0329643i
\(51\) −6.01241 + 2.18834i −0.841906 + 0.306429i
\(52\) 0.640929 0.340788i 0.0888809 0.0472588i
\(53\) 1.97642 + 4.05225i 0.271482 + 0.556620i 0.990360 0.138516i \(-0.0442332\pi\)
−0.718879 + 0.695136i \(0.755344\pi\)
\(54\) −5.55764 + 1.59363i −0.756300 + 0.216865i
\(55\) −0.695713 0.358059i −0.0938099 0.0482806i
\(56\) −6.71704 4.88021i −0.897602 0.652146i
\(57\) −4.53806 + 1.91583i −0.601081 + 0.253758i
\(58\) 2.95109 + 2.14409i 0.387497 + 0.281533i
\(59\) 0.641277 + 1.58722i 0.0834871 + 0.206638i 0.963153 0.268955i \(-0.0866782\pi\)
−0.879666 + 0.475592i \(0.842234\pi\)
\(60\) 1.14469 1.74706i 0.147779 0.225544i
\(61\) −15.2276 + 2.14010i −1.94970 + 0.274012i −0.999313 0.0370670i \(-0.988199\pi\)
−0.950384 + 0.311079i \(0.899310\pi\)
\(62\) −9.52468 1.33861i −1.20964 0.170003i
\(63\) −0.163049 4.66910i −0.0205422 0.588252i
\(64\) −7.83370 1.66510i −0.979213 0.208138i
\(65\) 1.88026 0.566492i 0.233217 0.0702647i
\(66\) 0.363269 0.226996i 0.0447153 0.0279412i
\(67\) 1.09333 + 4.38511i 0.133572 + 0.535726i 0.999375 + 0.0353425i \(0.0112522\pi\)
−0.865804 + 0.500384i \(0.833192\pi\)
\(68\) −2.33992 4.05286i −0.283757 0.491482i
\(69\) 4.93553 2.19744i 0.594169 0.264541i
\(70\) −4.45991 4.82188i −0.533061 0.576324i
\(71\) 9.87156 + 9.53285i 1.17154 + 1.13134i 0.988965 + 0.148149i \(0.0473315\pi\)
0.182573 + 0.983192i \(0.441557\pi\)
\(72\) −2.31258 4.74149i −0.272540 0.558790i
\(73\) −0.239648 + 6.86261i −0.0280487 + 0.803208i 0.901124 + 0.433562i \(0.142743\pi\)
−0.929172 + 0.369646i \(0.879479\pi\)
\(74\) 5.58598 4.68720i 0.649357 0.544876i
\(75\) 3.95805 4.03245i 0.457037 0.465628i
\(76\) −1.95637 3.02548i −0.224411 0.347047i
\(77\) 0.293213 + 0.902418i 0.0334148 + 0.102840i
\(78\) −0.260083 + 1.04314i −0.0294486 + 0.118112i
\(79\) −4.86932 + 1.39626i −0.547842 + 0.157091i −0.538130 0.842862i \(-0.680869\pi\)
−0.00971156 + 0.999953i \(0.503091\pi\)
\(80\) −3.41840 1.46748i −0.382188 0.164069i
\(81\) −0.378206 + 0.775437i −0.0420229 + 0.0861596i
\(82\) −5.43332 + 1.97757i −0.600010 + 0.218386i
\(83\) 0.0608704 0.0271012i 0.00668139 0.00297475i −0.403393 0.915027i \(-0.632169\pi\)
0.410075 + 0.912052i \(0.365503\pi\)
\(84\) −2.47754 + 0.526617i −0.270322 + 0.0574586i
\(85\) −4.07298 11.9871i −0.441777 1.30019i
\(86\) 4.83996 11.9793i 0.521906 1.29176i
\(87\) 3.72226 0.791192i 0.399069 0.0848247i
\(88\) 0.716918 + 0.796218i 0.0764237 + 0.0848771i
\(89\) −2.32289 2.97316i −0.246226 0.315154i 0.648982 0.760804i \(-0.275195\pi\)
−0.895208 + 0.445649i \(0.852973\pi\)
\(90\) −1.06371 4.03548i −0.112125 0.425377i
\(91\) −2.10264 1.11800i −0.220417 0.117198i
\(92\) 2.20970 + 3.27602i 0.230377 + 0.341548i
\(93\) −7.68652 + 6.44976i −0.797055 + 0.668809i
\(94\) −11.4349 8.30795i −1.17942 0.856900i
\(95\) −3.59668 9.05891i −0.369012 0.929425i
\(96\) −3.95102 + 2.87059i −0.403250 + 0.292978i
\(97\) 0.348191 1.39652i 0.0353534 0.141795i −0.950025 0.312173i \(-0.898943\pi\)
0.985379 + 0.170378i \(0.0544988\pi\)
\(98\) −0.0133444 + 0.382134i −0.00134799 + 0.0386014i
\(99\) −0.104690 + 0.593728i −0.0105218 + 0.0596719i
\(100\) 3.40733 + 2.33886i 0.340733 + 0.233886i
\(101\) −2.35373 + 0.856688i −0.234205 + 0.0852436i −0.456456 0.889746i \(-0.650882\pi\)
0.222252 + 0.974989i \(0.428659\pi\)
\(102\) 6.77950 + 1.44103i 0.671270 + 0.142683i
\(103\) −11.0088 4.90145i −1.08473 0.482955i −0.215070 0.976599i \(-0.568998\pi\)
−0.869664 + 0.493644i \(0.835665\pi\)
\(104\) −2.68243 0.187574i −0.263034 0.0183931i
\(105\) −6.85150 + 0.0916929i −0.668638 + 0.00894831i
\(106\) 0.510506 4.85714i 0.0495847 0.471767i
\(107\) −0.433806 + 0.751375i −0.0419376 + 0.0726381i −0.886232 0.463241i \(-0.846686\pi\)
0.844295 + 0.535879i \(0.180020\pi\)
\(108\) −4.24069 1.21600i −0.408061 0.117010i
\(109\) −3.70892 0.521254i −0.355250 0.0499271i −0.0407090 0.999171i \(-0.512962\pi\)
−0.314541 + 0.949244i \(0.601851\pi\)
\(110\) 0.433578 + 0.728296i 0.0413401 + 0.0694403i
\(111\) 0.265487 7.60255i 0.0251989 0.721602i
\(112\) 1.68995 + 4.18277i 0.159685 + 0.395234i
\(113\) 2.73392 8.41414i 0.257185 0.791535i −0.736206 0.676758i \(-0.763384\pi\)
0.993391 0.114778i \(-0.0366156\pi\)
\(114\) 5.26865 + 0.845038i 0.493454 + 0.0791451i
\(115\) 4.13685 + 9.85719i 0.385763 + 0.919188i
\(116\) 1.04267 + 2.58069i 0.0968093 + 0.239611i
\(117\) −0.846111 1.25441i −0.0782229 0.115970i
\(118\) 0.322011 1.82621i 0.0296435 0.168116i
\(119\) −6.73021 + 13.7990i −0.616957 + 1.26495i
\(120\) −7.02550 + 3.24129i −0.641338 + 0.295888i
\(121\) 1.13701 + 10.8180i 0.103365 + 0.983452i
\(122\) 15.2174 + 6.77520i 1.37771 + 0.613398i
\(123\) −2.25961 + 5.59273i −0.203742 + 0.504279i
\(124\) −5.62209 4.71749i −0.504879 0.423643i
\(125\) 7.80855 + 8.00166i 0.698418 + 0.715690i
\(126\) −2.53045 + 4.38287i −0.225431 + 0.390457i
\(127\) −9.95591 12.7430i −0.883444 1.13076i −0.990637 0.136519i \(-0.956409\pi\)
0.107193 0.994238i \(-0.465814\pi\)
\(128\) 0.0232146 + 0.0224181i 0.00205190 + 0.00198150i
\(129\) −5.90862 12.1145i −0.520225 1.06662i
\(130\) −2.05248 0.558928i −0.180015 0.0490212i
\(131\) 12.0316 0.841329i 1.05120 0.0735072i 0.466313 0.884620i \(-0.345582\pi\)
0.584890 + 0.811113i \(0.301138\pi\)
\(132\) 0.326854 0.0284490
\(133\) −4.63962 + 10.8711i −0.402306 + 0.942643i
\(134\) 1.51282 4.65599i 0.130688 0.402217i
\(135\) −10.6116 5.46140i −0.913299 0.470042i
\(136\) −0.605010 + 17.3252i −0.0518792 + 1.48563i
\(137\) 8.05250 + 4.28159i 0.687972 + 0.365801i 0.776364 0.630285i \(-0.217062\pi\)
−0.0883925 + 0.996086i \(0.528173\pi\)
\(138\) −5.79544 0.814496i −0.493341 0.0693345i
\(139\) 11.4829 + 14.6974i 0.973964 + 1.24662i 0.969110 + 0.246629i \(0.0793230\pi\)
0.00485436 + 0.999988i \(0.498455\pi\)
\(140\) −0.936258 4.92356i −0.0791282 0.416117i
\(141\) −14.4231 + 3.06572i −1.21464 + 0.258180i
\(142\) −3.59630 14.4240i −0.301795 1.21043i
\(143\) 0.235409 + 0.197531i 0.0196859 + 0.0165184i
\(144\) −0.299618 + 2.85067i −0.0249681 + 0.237556i
\(145\) 1.40664 + 7.39718i 0.116815 + 0.614302i
\(146\) 4.15954 6.16678i 0.344246 0.510366i
\(147\) 0.286941 + 0.277096i 0.0236665 + 0.0228545i
\(148\) 5.50991 0.774368i 0.452912 0.0636526i
\(149\) −6.98703 2.54307i −0.572400 0.208336i 0.0395713 0.999217i \(-0.487401\pi\)
−0.611971 + 0.790880i \(0.709623\pi\)
\(150\) −5.95084 + 1.43235i −0.485884 + 0.116951i
\(151\) 22.1931 1.80605 0.903025 0.429589i \(-0.141341\pi\)
0.903025 + 0.429589i \(0.141341\pi\)
\(152\) 0.206829 + 13.3448i 0.0167760 + 1.08241i
\(153\) −7.89185 + 5.73377i −0.638019 + 0.463548i
\(154\) 0.248660 0.997322i 0.0200376 0.0803665i
\(155\) −12.4317 15.4804i −0.998542 1.24341i
\(156\) −0.590089 + 0.569842i −0.0472449 + 0.0456239i
\(157\) 3.44780 + 19.5535i 0.275165 + 1.56054i 0.738438 + 0.674321i \(0.235564\pi\)
−0.463274 + 0.886215i \(0.653325\pi\)
\(158\) 5.27471 + 1.51250i 0.419633 + 0.120328i
\(159\) −3.40922 3.78633i −0.270369 0.300275i
\(160\) −5.51041 7.93828i −0.435636 0.627576i
\(161\) 4.85627 12.0197i 0.382728 0.947285i
\(162\) 0.792568 0.495251i 0.0622700 0.0389106i
\(163\) −15.6333 + 3.32297i −1.22450 + 0.260275i −0.774396 0.632702i \(-0.781946\pi\)
−0.450103 + 0.892977i \(0.648613\pi\)
\(164\) −4.31549 0.917286i −0.336983 0.0716280i
\(165\) 0.867285 + 0.172250i 0.0675181 + 0.0134097i
\(166\) −0.0714757 0.0100453i −0.00554759 0.000779663i
\(167\) −11.0720 + 10.6921i −0.856776 + 0.827379i −0.986430 0.164180i \(-0.947502\pi\)
0.129654 + 0.991559i \(0.458613\pi\)
\(168\) 8.81687 + 3.20908i 0.680236 + 0.247586i
\(169\) 12.1990 0.853034i 0.938381 0.0656180i
\(170\) −3.13940 + 13.3500i −0.240781 + 1.02390i
\(171\) −5.84564 + 4.71481i −0.447027 + 0.360550i
\(172\) 7.97572 5.79470i 0.608143 0.441842i
\(173\) 0.360195 + 0.225075i 0.0273851 + 0.0171121i 0.543543 0.839381i \(-0.317083\pi\)
−0.516158 + 0.856494i \(0.672638\pi\)
\(174\) −3.87363 1.40989i −0.293659 0.106883i
\(175\) 0.110395 13.5577i 0.00834508 1.02487i
\(176\) −0.101090 0.573307i −0.00761991 0.0432147i
\(177\) −1.19102 1.52444i −0.0895228 0.114584i
\(178\) 0.427219 + 4.06472i 0.0320214 + 0.304664i
\(179\) 14.1310 + 6.29152i 1.05620 + 0.470250i 0.859990 0.510312i \(-0.170470\pi\)
0.196210 + 0.980562i \(0.437137\pi\)
\(180\) 0.943418 3.04144i 0.0703183 0.226696i
\(181\) −2.45636 9.85192i −0.182580 0.732287i −0.989851 0.142107i \(-0.954612\pi\)
0.807272 0.590180i \(-0.200943\pi\)
\(182\) 1.28982 + 2.23404i 0.0956081 + 0.165598i
\(183\) 15.8751 7.06807i 1.17352 0.522487i
\(184\) −0.510862 14.6292i −0.0376612 1.07848i
\(185\) 15.0283 + 0.848963i 1.10490 + 0.0624170i
\(186\) 10.7636 1.51273i 0.789227 0.110919i
\(187\) 1.21974 1.56119i 0.0891961 0.114166i
\(188\) −4.04014 9.99971i −0.294658 0.729304i
\(189\) 4.47232 + 13.7644i 0.325314 + 1.00121i
\(190\) −1.89605 + 10.3866i −0.137554 + 0.753523i
\(191\) 4.06165 12.5005i 0.293890 0.904502i −0.689701 0.724094i \(-0.742258\pi\)
0.983592 0.180408i \(-0.0577418\pi\)
\(192\) 9.02842 0.631328i 0.651570 0.0455622i
\(193\) −17.7644 6.46573i −1.27871 0.465413i −0.388706 0.921362i \(-0.627078\pi\)
−0.890006 + 0.455949i \(0.849300\pi\)
\(194\) −1.12152 + 1.08304i −0.0805203 + 0.0777575i
\(195\) −1.86606 + 1.20106i −0.133632 + 0.0860100i
\(196\) −0.163151 + 0.241881i −0.0116536 + 0.0172772i
\(197\) 0.371044 + 3.53025i 0.0264358 + 0.251520i 0.999756 + 0.0220705i \(0.00702584\pi\)
−0.973321 + 0.229449i \(0.926307\pi\)
\(198\) 0.436995 0.485333i 0.0310559 0.0344911i
\(199\) 7.27402 + 6.10362i 0.515641 + 0.432674i 0.863109 0.505017i \(-0.168514\pi\)
−0.347468 + 0.937692i \(0.612958\pi\)
\(200\) −6.11282 14.0361i −0.432241 0.992501i
\(201\) −2.55361 4.42298i −0.180118 0.311973i
\(202\) 2.65402 + 0.564130i 0.186737 + 0.0396921i
\(203\) 5.10608 7.57008i 0.358377 0.531316i
\(204\) 3.80429 + 3.67376i 0.266353 + 0.257214i
\(205\) −10.9675 4.70820i −0.766000 0.328835i
\(206\) 7.29967 + 10.8222i 0.508592 + 0.754018i
\(207\) 6.30981 5.29456i 0.438562 0.367997i
\(208\) 1.18201 + 0.858784i 0.0819580 + 0.0595460i
\(209\) 0.877300 1.24771i 0.0606841 0.0863062i
\(210\) 6.34677 + 3.84878i 0.437969 + 0.265591i
\(211\) 3.48929 + 2.18035i 0.240213 + 0.150102i 0.644684 0.764449i \(-0.276989\pi\)
−0.404471 + 0.914551i \(0.632544\pi\)
\(212\) 2.29432 2.93660i 0.157575 0.201686i
\(213\) −13.6929 7.28063i −0.938220 0.498861i
\(214\) 0.829833 0.441230i 0.0567262 0.0301619i
\(215\) 24.2168 11.1727i 1.65157 0.761971i
\(216\) 10.9350 + 12.1445i 0.744032 + 0.826332i
\(217\) −2.51672 + 23.9449i −0.170846 + 1.62549i
\(218\) 3.10798 + 2.60790i 0.210499 + 0.176630i
\(219\) −1.87732 7.52951i −0.126857 0.508797i
\(220\) −0.0139197 + 0.646592i −0.000938467 + 0.0435932i
\(221\) 0.519743 + 4.94502i 0.0349617 + 0.332638i
\(222\) −4.60803 + 6.83169i −0.309271 + 0.458513i
\(223\) 20.0504 10.6610i 1.34267 0.713912i 0.366400 0.930457i \(-0.380590\pi\)
0.976272 + 0.216546i \(0.0694791\pi\)
\(224\) −2.03491 + 11.5406i −0.135963 + 0.771087i
\(225\) 4.10612 7.57308i 0.273741 0.504872i
\(226\) −7.34154 + 6.16028i −0.488352 + 0.409776i
\(227\) −1.83761 5.65557i −0.121966 0.375373i 0.871370 0.490626i \(-0.163232\pi\)
−0.993336 + 0.115253i \(0.963232\pi\)
\(228\) 3.06762 + 2.67719i 0.203158 + 0.177301i
\(229\) −7.43029 + 5.39842i −0.491008 + 0.356738i −0.805572 0.592498i \(-0.798142\pi\)
0.314564 + 0.949236i \(0.398142\pi\)
\(230\) 1.85807 11.4300i 0.122517 0.753673i
\(231\) −0.599613 0.888963i −0.0394517 0.0584895i
\(232\) 1.79041 10.1539i 0.117546 0.666639i
\(233\) 0.436256 0.894457i 0.0285801 0.0585978i −0.884026 0.467437i \(-0.845177\pi\)
0.912606 + 0.408839i \(0.134066\pi\)
\(234\) 0.0572024 + 1.63806i 0.00373944 + 0.107084i
\(235\) −5.45046 28.6627i −0.355549 1.86975i
\(236\) 0.946797 1.05152i 0.0616313 0.0684484i
\(237\) 4.85462 3.03351i 0.315342 0.197047i
\(238\) 14.1038 8.81305i 0.914215 0.571265i
\(239\) −7.05142 + 7.83139i −0.456118 + 0.506571i −0.926708 0.375781i \(-0.877374\pi\)
0.470590 + 0.882352i \(0.344041\pi\)
\(240\) 4.17051 + 0.529318i 0.269205 + 0.0341673i
\(241\) −0.0895964 2.56570i −0.00577141 0.165272i −0.998854 0.0478558i \(-0.984761\pi\)
0.993083 0.117416i \(-0.0374610\pi\)
\(242\) 5.16539 10.5906i 0.332044 0.680791i
\(243\) −2.61112 + 14.8084i −0.167503 + 0.949959i
\(244\) 7.10750 + 10.5373i 0.455011 + 0.674582i
\(245\) −0.560379 + 0.555834i −0.0358013 + 0.0355110i
\(246\) 5.28622 3.84066i 0.337037 0.244872i
\(247\) 0.591441 + 3.78207i 0.0376325 + 0.240647i
\(248\) 8.40115 + 25.8561i 0.533473 + 1.64186i
\(249\) −0.0576817 + 0.0484007i −0.00365543 + 0.00306727i
\(250\) −2.58008 11.8331i −0.163179 0.748392i
\(251\) 2.48658 14.1021i 0.156952 0.890118i −0.800028 0.599963i \(-0.795182\pi\)
0.956980 0.290155i \(-0.0937068\pi\)
\(252\) −3.40965 + 1.81294i −0.214787 + 0.114205i
\(253\) −0.935464 + 1.38688i −0.0588121 + 0.0871926i
\(254\) 1.83106 + 17.4214i 0.114891 + 1.09312i
\(255\) 8.15837 + 11.7529i 0.510897 + 0.735996i
\(256\) 3.86651 + 15.5077i 0.241657 + 0.969232i
\(257\) −11.6567 9.78112i −0.727124 0.610129i 0.202222 0.979340i \(-0.435184\pi\)
−0.929346 + 0.369210i \(0.879628\pi\)
\(258\) −1.52619 + 14.5207i −0.0950165 + 0.904021i
\(259\) −12.2140 13.5650i −0.758942 0.842891i
\(260\) −1.10215 1.19160i −0.0683523 0.0738997i
\(261\) 5.12267 2.72377i 0.317085 0.168597i
\(262\) −11.5358 6.13367i −0.712681 0.378939i
\(263\) 8.01688 10.2611i 0.494342 0.632729i −0.474545 0.880231i \(-0.657388\pi\)
0.968887 + 0.247502i \(0.0796098\pi\)
\(264\) −1.02680 0.641617i −0.0631953 0.0394888i
\(265\) 7.63540 6.58297i 0.469039 0.404389i
\(266\) 10.5026 7.32342i 0.643955 0.449028i
\(267\) 3.44947 + 2.50619i 0.211104 + 0.153376i
\(268\) 2.86158 2.40115i 0.174799 0.146674i
\(269\) 14.3963 + 21.3434i 0.877760 + 1.30133i 0.952628 + 0.304139i \(0.0983687\pi\)
−0.0748678 + 0.997193i \(0.523853\pi\)
\(270\) 6.61328 + 11.1085i 0.402472 + 0.676044i
\(271\) 8.31505 + 8.02975i 0.505103 + 0.487773i 0.902990 0.429662i \(-0.141367\pi\)
−0.397886 + 0.917435i \(0.630256\pi\)
\(272\) 5.26724 7.80900i 0.319373 0.473490i
\(273\) 2.63235 + 0.559523i 0.159317 + 0.0338639i
\(274\) −4.93964 8.55571i −0.298415 0.516870i
\(275\) −0.377686 + 1.70835i −0.0227753 + 0.103018i
\(276\) −3.42085 2.87043i −0.205911 0.172780i
\(277\) −16.3428 + 18.1505i −0.981944 + 1.09056i 0.0139385 + 0.999903i \(0.495563\pi\)
−0.995882 + 0.0906561i \(0.971104\pi\)
\(278\) −2.11190 20.0934i −0.126663 1.20512i
\(279\) −8.55452 + 12.6826i −0.512146 + 0.759288i
\(280\) −6.72377 + 17.3051i −0.401822 + 1.03418i
\(281\) −8.24741 + 7.96443i −0.491999 + 0.475118i −0.898775 0.438410i \(-0.855542\pi\)
0.406776 + 0.913528i \(0.366653\pi\)
\(282\) 15.0096 + 5.46305i 0.893809 + 0.325320i
\(283\) −0.740404 + 0.0517741i −0.0440124 + 0.00307765i −0.0917457 0.995782i \(-0.529245\pi\)
0.0477333 + 0.998860i \(0.484800\pi\)
\(284\) 3.50518 10.7878i 0.207994 0.640140i
\(285\) 6.72885 + 8.72036i 0.398583 + 0.516550i
\(286\) −0.102868 0.316596i −0.00608272 0.0187207i
\(287\) 5.42196 + 13.4198i 0.320048 + 0.792148i
\(288\) −4.58408 + 5.86736i −0.270120 + 0.345737i
\(289\) 14.9095 2.09540i 0.877031 0.123259i
\(290\) 2.95404 7.60288i 0.173467 0.446457i
\(291\) 0.0567636 + 1.62550i 0.00332754 + 0.0952882i
\(292\) 5.18514 2.30857i 0.303437 0.135099i
\(293\) −15.5290 26.8970i −0.907213 1.57134i −0.817918 0.575335i \(-0.804872\pi\)
−0.0892954 0.996005i \(-0.528462\pi\)
\(294\) −0.104536 0.419269i −0.00609664 0.0244523i
\(295\) 3.06641 2.29119i 0.178533 0.133398i
\(296\) −18.8293 8.38335i −1.09443 0.487273i
\(297\) −0.195220 1.85739i −0.0113278 0.107777i
\(298\) 4.95882 + 6.34700i 0.287257 + 0.367672i
\(299\) −0.729063 4.13472i −0.0421628 0.239117i
\(300\) −4.42992 1.47935i −0.255761 0.0854105i
\(301\) −30.3916 11.0616i −1.75174 0.637582i
\(302\) −20.3877 12.7397i −1.17318 0.733085i
\(303\) 2.29001 1.66379i 0.131557 0.0955820i
\(304\) 3.74708 6.20865i 0.214910 0.356091i
\(305\) 13.3062 + 31.7056i 0.761909 + 1.81546i
\(306\) 10.5412 0.737116i 0.602603 0.0421381i
\(307\) −17.6106 6.40974i −1.00509 0.365823i −0.213545 0.976933i \(-0.568501\pi\)
−0.791546 + 0.611110i \(0.790723\pi\)
\(308\) 0.564172 0.544815i 0.0321467 0.0310437i
\(309\) 13.4857 + 1.89529i 0.767173 + 0.107819i
\(310\) 2.53413 + 21.3573i 0.143929 + 1.21301i
\(311\) −7.99473 1.69933i −0.453339 0.0963603i −0.0244175 0.999702i \(-0.507773\pi\)
−0.428922 + 0.903342i \(0.641106\pi\)
\(312\) 2.97235 0.631793i 0.168276 0.0357682i
\(313\) 1.44298 0.901672i 0.0815618 0.0509655i −0.488525 0.872550i \(-0.662465\pi\)
0.570087 + 0.821584i \(0.306909\pi\)
\(314\) 8.05708 19.9420i 0.454687 1.12539i
\(315\) −10.0027 + 3.01365i −0.563587 + 0.169800i
\(316\) 2.80165 + 3.11155i 0.157605 + 0.175038i
\(317\) 1.94826 + 0.558656i 0.109425 + 0.0313772i 0.329903 0.944015i \(-0.392984\pi\)
−0.220478 + 0.975392i \(0.570762\pi\)
\(318\) 0.958395 + 5.43533i 0.0537441 + 0.304798i
\(319\) −0.847615 + 0.818532i −0.0474573 + 0.0458290i
\(320\) 0.864419 + 17.8871i 0.0483225 + 0.999922i
\(321\) 0.237197 0.951345i 0.0132390 0.0530989i
\(322\) −11.3610 + 8.25422i −0.633122 + 0.459990i
\(323\) 24.2350 4.66163i 1.34847 0.259380i
\(324\) 0.713119 0.0396177
\(325\) −2.29651 3.74265i −0.127387 0.207605i
\(326\) 16.2691 + 5.92146i 0.901062 + 0.327960i
\(327\) 4.19136 0.589058i 0.231783 0.0325750i
\(328\) 11.7563 + 11.3530i 0.649135 + 0.626863i
\(329\) −19.7851 + 29.3326i −1.09079 + 1.61716i
\(330\) −0.697854 0.656092i −0.0384156 0.0361166i
\(331\) 0.588808 5.60213i 0.0323638 0.307921i −0.966351 0.257229i \(-0.917191\pi\)
0.998714 0.0506922i \(-0.0161428\pi\)
\(332\) −0.0421896 0.0354013i −0.00231546 0.00194290i
\(333\) −2.80581 11.2535i −0.153757 0.616686i
\(334\) 16.3089 3.46657i 0.892385 0.189682i
\(335\) 8.85841 4.86326i 0.483987 0.265708i
\(336\) −3.13869 4.01734i −0.171229 0.219164i
\(337\) −11.2256 1.57765i −0.611496 0.0859402i −0.173375 0.984856i \(-0.555467\pi\)
−0.438122 + 0.898916i \(0.644356\pi\)
\(338\) −11.6963 6.21901i −0.636192 0.338269i
\(339\) −0.348924 + 9.99187i −0.0189509 + 0.542684i
\(340\) −7.42954 + 7.36929i −0.402923 + 0.399656i
\(341\) 0.960108 2.95491i 0.0519927 0.160017i
\(342\) 8.07658 0.975649i 0.436731 0.0527570i
\(343\) −18.0243 −0.973221
\(344\) −36.4305 + 2.54747i −1.96420 + 0.137350i
\(345\) −7.56429 9.41927i −0.407248 0.507117i
\(346\) −0.201692 0.413530i −0.0108430 0.0222315i
\(347\) −21.6033 20.8620i −1.15972 1.11993i −0.990944 0.134279i \(-0.957128\pi\)
−0.168781 0.985654i \(-0.553983\pi\)
\(348\) −1.93652 2.47863i −0.103808 0.132868i
\(349\) 4.68922 8.12196i 0.251008 0.434759i −0.712796 0.701372i \(-0.752571\pi\)
0.963804 + 0.266613i \(0.0859046\pi\)
\(350\) −7.88405 + 12.3915i −0.421420 + 0.662351i
\(351\) 3.59064 + 3.01291i 0.191654 + 0.160817i
\(352\) 0.566486 1.40210i 0.0301938 0.0747323i
\(353\) 29.4969 + 13.1328i 1.56996 + 0.698991i 0.993036 0.117808i \(-0.0375867\pi\)
0.576923 + 0.816799i \(0.304253\pi\)
\(354\) 0.219050 + 2.08412i 0.0116424 + 0.110770i
\(355\) 14.9859 26.7776i 0.795368 1.42121i
\(356\) −1.36711 + 2.80300i −0.0724568 + 0.148559i
\(357\) 3.01276 17.0862i 0.159452 0.904299i
\(358\) −9.36987 13.8914i −0.495213 0.734184i
\(359\) −3.72749 9.22587i −0.196730 0.486923i 0.796284 0.604923i \(-0.206796\pi\)
−0.993014 + 0.118000i \(0.962352\pi\)
\(360\) −8.93409 + 7.70266i −0.470868 + 0.405966i
\(361\) 18.4535 4.52437i 0.971235 0.238125i
\(362\) −3.39883 + 10.4605i −0.178638 + 0.549792i
\(363\) −4.60484 11.3974i −0.241692 0.598208i
\(364\) −0.0686951 + 1.96717i −0.00360060 + 0.103108i
\(365\) 14.9750 3.39310i 0.783829 0.177603i
\(366\) −18.6410 2.61983i −0.974382 0.136941i
\(367\) −2.89268 0.829463i −0.150997 0.0432976i 0.199287 0.979941i \(-0.436137\pi\)
−0.350284 + 0.936643i \(0.613915\pi\)
\(368\) −3.97679 + 6.88799i −0.207304 + 0.359062i
\(369\) −0.961281 + 9.14598i −0.0500423 + 0.476121i
\(370\) −13.3184 9.40668i −0.692390 0.489030i
\(371\) −12.1958 0.852811i −0.633172 0.0442757i
\(372\) 7.57674 + 3.37338i 0.392835 + 0.174902i
\(373\) 33.1113 + 7.03803i 1.71444 + 0.364416i 0.957358 0.288904i \(-0.0932909\pi\)
0.757082 + 0.653320i \(0.226624\pi\)
\(374\) −2.01670 + 0.734017i −0.104281 + 0.0379551i
\(375\) −10.9749 6.25991i −0.566740 0.323260i
\(376\) −6.93752 + 39.3446i −0.357775 + 2.02904i
\(377\) 0.103208 2.95549i 0.00531548 0.152215i
\(378\) 3.79277 15.2119i 0.195079 0.782418i
\(379\) −4.52759 + 3.28948i −0.232567 + 0.168969i −0.697965 0.716132i \(-0.745911\pi\)
0.465399 + 0.885101i \(0.345911\pi\)
\(380\) −5.42673 + 5.95443i −0.278385 + 0.305456i
\(381\) 14.7844 + 10.7415i 0.757430 + 0.550305i
\(382\) −10.9070 + 9.15202i −0.558048 + 0.468258i
\(383\) 3.43222 + 5.08847i 0.175378 + 0.260009i 0.906470 0.422270i \(-0.138767\pi\)
−0.731092 + 0.682279i \(0.760989\pi\)
\(384\) −0.0322011 0.0171216i −0.00164326 0.000873734i
\(385\) 1.78411 1.14831i 0.0909265 0.0585235i
\(386\) 12.6077 + 16.1372i 0.641717 + 0.821361i
\(387\) −13.7503 15.2713i −0.698969 0.776284i
\(388\) −1.16365 + 0.247342i −0.0590754 + 0.0125569i
\(389\) −1.92509 + 4.76476i −0.0976058 + 0.241583i −0.968085 0.250623i \(-0.919365\pi\)
0.870479 + 0.492205i \(0.163809\pi\)
\(390\) 2.40372 0.0321687i 0.121717 0.00162892i
\(391\) −26.4762 + 5.62768i −1.33896 + 0.284604i
\(392\) 0.987346 0.439595i 0.0498685 0.0222029i
\(393\) −12.8078 + 4.66167i −0.646069 + 0.235150i
\(394\) 1.68563 3.45606i 0.0849209 0.174114i
\(395\) 5.79422 + 9.73274i 0.291539 + 0.489707i
\(396\) 0.479020 0.137357i 0.0240717 0.00690244i
\(397\) 2.95846 11.8658i 0.148481 0.595525i −0.849237 0.528011i \(-0.822938\pi\)
0.997718 0.0675136i \(-0.0215066\pi\)
\(398\) −3.17858 9.78265i −0.159328 0.490360i
\(399\) 1.65376 13.2545i 0.0827917 0.663553i
\(400\) −1.22472 + 8.22768i −0.0612361 + 0.411384i
\(401\) 6.33930 5.31931i 0.316570 0.265634i −0.470631 0.882330i \(-0.655974\pi\)
0.787201 + 0.616696i \(0.211529\pi\)
\(402\) −0.193078 + 5.52904i −0.00962987 + 0.275763i
\(403\) 3.41829 + 7.00853i 0.170277 + 0.349120i
\(404\) 1.48930 + 1.43820i 0.0740952 + 0.0715529i
\(405\) 1.89221 + 0.375810i 0.0940249 + 0.0186742i
\(406\) −9.03621 + 4.02318i −0.448460 + 0.199667i
\(407\) 1.17776 + 2.03993i 0.0583792 + 0.101116i
\(408\) −4.73944 19.0088i −0.234637 0.941078i
\(409\) 28.7626 17.9728i 1.42222 0.888700i 0.422374 0.906422i \(-0.361197\pi\)
0.999843 + 0.0177215i \(0.00564123\pi\)
\(410\) 7.37258 + 10.6209i 0.364106 + 0.524529i
\(411\) −10.0811 2.14281i −0.497264 0.105697i
\(412\) 0.347622 + 9.95458i 0.0171261 + 0.490427i
\(413\) −4.59679 0.646036i −0.226193 0.0317894i
\(414\) −8.83578 + 1.24179i −0.434255 + 0.0610306i
\(415\) −0.0932910 0.116169i −0.00457948 0.00570250i
\(416\) 1.42173 + 3.51892i 0.0697062 + 0.172529i
\(417\) −17.0520 12.3890i −0.835038 0.606691i
\(418\) −1.52217 + 0.642611i −0.0744516 + 0.0314311i
\(419\) −1.99159 1.44698i −0.0972956 0.0706894i 0.538074 0.842898i \(-0.319152\pi\)
−0.635369 + 0.772208i \(0.719152\pi\)
\(420\) 2.55070 + 5.05683i 0.124462 + 0.246748i
\(421\) 17.8061 5.10581i 0.867815 0.248842i 0.187950 0.982179i \(-0.439816\pi\)
0.679866 + 0.733337i \(0.262038\pi\)
\(422\) −1.95384 4.00596i −0.0951113 0.195007i
\(423\) −19.8494 + 10.5541i −0.965109 + 0.513158i
\(424\) −12.9721 + 4.72146i −0.629982 + 0.229295i
\(425\) −23.5974 + 15.6386i −1.14464 + 0.758583i
\(426\) 8.39962 + 14.5486i 0.406963 + 0.704880i
\(427\) 15.6202 38.6613i 0.755914 1.87095i
\(428\) 0.715390 + 0.0500249i 0.0345797 + 0.00241805i
\(429\) −0.317254 0.141251i −0.0153172 0.00681964i
\(430\) −28.6603 3.63755i −1.38212 0.175418i
\(431\) −22.0776 6.33065i −1.06344 0.304937i −0.302092 0.953279i \(-0.597685\pi\)
−0.761349 + 0.648342i \(0.775463\pi\)
\(432\) −1.54190 8.74454i −0.0741846 0.420722i
\(433\) 9.10120 8.78893i 0.437376 0.422369i −0.443091 0.896477i \(-0.646118\pi\)
0.880467 + 0.474108i \(0.157229\pi\)
\(434\) 16.0573 20.5523i 0.770773 0.986544i
\(435\) −3.83219 7.59740i −0.183739 0.364267i
\(436\) 0.956650 + 2.94426i 0.0458152 + 0.141005i
\(437\) −20.1392 + 5.35410i −0.963391 + 0.256121i
\(438\) −2.59761 + 7.99463i −0.124119 + 0.381998i
\(439\) 24.4118 + 15.2542i 1.16511 + 0.728041i 0.967657 0.252271i \(-0.0811775\pi\)
0.197453 + 0.980312i \(0.436733\pi\)
\(440\) 1.31299 2.00392i 0.0625945 0.0955334i
\(441\) 0.536973 + 0.285513i 0.0255701 + 0.0135959i
\(442\) 2.36116 4.84110i 0.112309 0.230268i
\(443\) 6.18197 2.25005i 0.293714 0.106903i −0.190960 0.981598i \(-0.561160\pi\)
0.484675 + 0.874694i \(0.338938\pi\)
\(444\) −5.74421 + 2.55749i −0.272608 + 0.121373i
\(445\) −5.10471 + 6.71710i −0.241986 + 0.318421i
\(446\) −24.5391 1.71594i −1.16196 0.0812521i
\(447\) 8.38215 + 0.586137i 0.396462 + 0.0277233i
\(448\) 14.5313 16.1387i 0.686541 0.762481i
\(449\) 4.91717 8.51679i 0.232056 0.401932i −0.726357 0.687317i \(-0.758788\pi\)
0.958413 + 0.285385i \(0.0921215\pi\)
\(450\) −8.11932 + 4.59995i −0.382748 + 0.216844i
\(451\) −0.324332 1.83938i −0.0152722 0.0866129i
\(452\) −7.24156 + 1.01773i −0.340614 + 0.0478702i
\(453\) −24.1084 + 6.91296i −1.13271 + 0.324799i
\(454\) −1.55839 + 6.25034i −0.0731387 + 0.293343i
\(455\) −1.21897 + 5.18355i −0.0571461 + 0.243009i
\(456\) −4.38148 14.4321i −0.205182 0.675844i
\(457\) −15.1242 −0.707479 −0.353739 0.935344i \(-0.615090\pi\)
−0.353739 + 0.935344i \(0.615090\pi\)
\(458\) 9.92474 0.694005i 0.463752 0.0324287i
\(459\) 18.6044 23.8126i 0.868380 1.11148i
\(460\) 5.82406 6.64498i 0.271548 0.309824i
\(461\) −26.5284 + 14.1054i −1.23555 + 0.656954i −0.953195 0.302355i \(-0.902227\pi\)
−0.282356 + 0.959310i \(0.591116\pi\)
\(462\) 0.0405377 + 1.16085i 0.00188598 + 0.0540075i
\(463\) 13.4638 + 14.9531i 0.625718 + 0.694930i 0.969770 0.244020i \(-0.0784664\pi\)
−0.344052 + 0.938951i \(0.611800\pi\)
\(464\) −3.74862 + 4.16327i −0.174025 + 0.193275i
\(465\) 18.3266 + 12.9439i 0.849876 + 0.600261i
\(466\) −0.914217 + 0.571266i −0.0423503 + 0.0264634i
\(467\) 1.04805 9.97149i 0.0484978 0.461425i −0.943142 0.332390i \(-0.892145\pi\)
0.991640 0.129036i \(-0.0411882\pi\)
\(468\) −0.625333 + 1.08311i −0.0289060 + 0.0500667i
\(469\) −11.7801 3.37789i −0.543955 0.155977i
\(470\) −11.4464 + 29.4598i −0.527981 + 1.35888i
\(471\) −9.83609 20.1670i −0.453223 0.929245i
\(472\) −5.03849 + 1.44476i −0.231915 + 0.0665006i
\(473\) 3.53937 + 2.21165i 0.162741 + 0.101692i
\(474\) −6.20105 −0.284823
\(475\) −17.5374 + 12.9398i −0.804672 + 0.593720i
\(476\) 12.6900 0.581647
\(477\) −6.58754 4.11635i −0.301623 0.188475i
\(478\) 10.9733 3.14654i 0.501907 0.143919i
\(479\) 2.58244 + 5.29478i 0.117995 + 0.241925i 0.949614 0.313421i \(-0.101475\pi\)
−0.831620 + 0.555345i \(0.812586\pi\)
\(480\) 8.45867 + 6.90690i 0.386084 + 0.315255i
\(481\) −5.68272 1.62949i −0.259110 0.0742986i
\(482\) −1.39050 + 2.40842i −0.0633355 + 0.109700i
\(483\) −1.53134 + 14.5697i −0.0696782 + 0.662944i
\(484\) 7.62479 4.76450i 0.346581 0.216568i
\(485\) −3.21802 + 0.0430664i −0.146123 + 0.00195554i
\(486\) 10.8993 12.1049i 0.494401 0.549088i
\(487\) 15.9154 + 17.6758i 0.721195 + 0.800968i 0.986598 0.163170i \(-0.0521718\pi\)
−0.265403 + 0.964137i \(0.585505\pi\)
\(488\) −1.64319 47.0547i −0.0743836 2.13007i
\(489\) 15.9474 8.47940i 0.721168 0.383452i
\(490\) 0.833862 0.188940i 0.0376700 0.00853542i
\(491\) 20.3824 26.0882i 0.919843 1.17735i −0.0639349 0.997954i \(-0.520365\pi\)
0.983778 0.179391i \(-0.0574128\pi\)
\(492\) 4.97364 0.347791i 0.224229 0.0156796i
\(493\) −19.0656 −0.858670
\(494\) 1.62772 3.81391i 0.0732345 0.171596i
\(495\) 1.34343 0.112026i 0.0603829 0.00503519i
\(496\) 3.57363 14.3330i 0.160461 0.643572i
\(497\) −35.7705 + 10.2570i −1.60453 + 0.460090i
\(498\) 0.0807730 0.0113519i 0.00361953 0.000508691i
\(499\) 3.18281 + 18.0506i 0.142482 + 0.808057i 0.969354 + 0.245667i \(0.0790069\pi\)
−0.826872 + 0.562390i \(0.809882\pi\)
\(500\) 3.11515 8.70038i 0.139314 0.389093i
\(501\) 8.69700 15.0636i 0.388553 0.672994i
\(502\) −10.3794 + 11.5275i −0.463257 + 0.514499i
\(503\) −11.9739 0.837296i −0.533889 0.0373332i −0.199732 0.979851i \(-0.564007\pi\)
−0.334157 + 0.942517i \(0.608452\pi\)
\(504\) 14.2701 + 0.997864i 0.635641 + 0.0444484i
\(505\) 3.19382 + 4.60101i 0.142123 + 0.204742i
\(506\) 1.65549 0.737070i 0.0735954 0.0327668i
\(507\) −12.9860 + 4.72652i −0.576729 + 0.209912i
\(508\) −5.85945 + 12.0137i −0.259971 + 0.533020i
\(509\) −32.1186 17.0778i −1.42363 0.756959i −0.434045 0.900891i \(-0.642914\pi\)
−0.989587 + 0.143933i \(0.954025\pi\)
\(510\) −0.748091 15.4800i −0.0331260 0.685467i
\(511\) −15.7909 9.86724i −0.698548 0.436501i
\(512\) 5.36997 16.5271i 0.237321 0.730400i
\(513\) 13.3813 19.0311i 0.590798 0.840245i
\(514\) 5.09370 + 15.6768i 0.224673 + 0.691473i
\(515\) −4.32362 + 26.5970i −0.190522 + 1.17200i
\(516\) −6.85903 + 8.77915i −0.301952 + 0.386481i
\(517\) 3.28435 3.17166i 0.144445 0.139489i
\(518\) 3.43358 + 19.4728i 0.150863 + 0.855587i
\(519\) −0.461389 0.132301i −0.0202527 0.00580737i
\(520\) 1.12325 + 5.90689i 0.0492576 + 0.259034i
\(521\) 0.251148 + 0.111818i 0.0110030 + 0.00489886i 0.412231 0.911079i \(-0.364750\pi\)
−0.401228 + 0.915978i \(0.631416\pi\)
\(522\) −6.26948 0.438405i −0.274408 0.0191885i
\(523\) −3.68040 + 9.10930i −0.160932 + 0.398322i −0.986007 0.166701i \(-0.946688\pi\)
0.825075 + 0.565023i \(0.191133\pi\)
\(524\) −4.98457 8.63352i −0.217752 0.377157i
\(525\) 4.10320 + 14.7622i 0.179078 + 0.644274i
\(526\) −13.2550 + 4.82442i −0.577944 + 0.210355i
\(527\) 44.3872 23.6011i 1.93354 1.02808i
\(528\) 0.288394 + 0.591295i 0.0125507 + 0.0257328i
\(529\) −0.138849 + 0.0398144i −0.00603693 + 0.00173106i
\(530\) −10.7931 + 1.66445i −0.468824 + 0.0722991i
\(531\) −2.38613 1.73363i −0.103549 0.0752329i
\(532\) 9.75737 0.492229i 0.423036 0.0213408i
\(533\) 3.79233 + 2.75529i 0.164264 + 0.119345i
\(534\) −1.73021 4.28243i −0.0748737 0.185319i
\(535\) 1.87188 + 0.509744i 0.0809282 + 0.0220382i
\(536\) −13.7031 + 1.92584i −0.591882 + 0.0831836i
\(537\) −17.3102 2.43280i −0.746992 0.104983i
\(538\) −0.973283 27.8712i −0.0419612 1.20161i
\(539\) −0.120816 0.0256803i −0.00520392 0.00110613i
\(540\) −0.212315 + 9.86233i −0.00913656 + 0.424407i
\(541\) −18.5408 + 11.5856i −0.797130 + 0.498102i −0.866313 0.499502i \(-0.833516\pi\)
0.0691828 + 0.997604i \(0.477961\pi\)
\(542\) −3.02925 12.1497i −0.130118 0.521873i
\(543\) 5.73713 + 9.93701i 0.246204 + 0.426438i
\(544\) 22.3527 9.95204i 0.958362 0.426690i
\(545\) 0.986793 + 8.31656i 0.0422696 + 0.356242i
\(546\) −2.09702 2.02507i −0.0897442 0.0866650i
\(547\) 4.70493 + 9.64653i 0.201168 + 0.412456i 0.975399 0.220448i \(-0.0707518\pi\)
−0.774231 + 0.632904i \(0.781863\pi\)
\(548\) 0.263082 7.53368i 0.0112383 0.321823i
\(549\) 20.2955 17.0299i 0.866191 0.726820i
\(550\) 1.32762 1.35257i 0.0566098 0.0576739i
\(551\) −14.6595 + 0.739526i −0.624516 + 0.0315049i
\(552\) 5.11181 + 15.7325i 0.217573 + 0.669621i
\(553\) 3.32303 13.3279i 0.141309 0.566761i
\(554\) 25.4324 7.29262i 1.08052 0.309834i
\(555\) −16.5897 + 3.75895i −0.704192 + 0.159559i
\(556\) 6.75813 13.8562i 0.286609 0.587635i
\(557\) −12.5791 + 4.57841i −0.532993 + 0.193994i −0.594474 0.804115i \(-0.702640\pi\)
0.0614813 + 0.998108i \(0.480418\pi\)
\(558\) 15.1389 6.74027i 0.640881 0.285338i
\(559\) −10.2457 + 2.17778i −0.433345 + 0.0921103i
\(560\) 8.08087 6.03795i 0.341479 0.255150i
\(561\) −0.838703 + 2.07586i −0.0354101 + 0.0876430i
\(562\) 12.1484 2.58221i 0.512448 0.108924i
\(563\) 10.0269 + 11.1360i 0.422583 + 0.469325i 0.916414 0.400232i \(-0.131071\pi\)
−0.493831 + 0.869558i \(0.664404\pi\)
\(564\) 7.50363 + 9.60421i 0.315960 + 0.404410i
\(565\) −19.7513 1.11577i −0.830945 0.0469409i
\(566\) 0.709892 + 0.377456i 0.0298390 + 0.0158657i
\(567\) −1.30822 1.93951i −0.0549399 0.0814518i
\(568\) −32.1880 + 27.0089i −1.35058 + 1.13327i
\(569\) 2.78427 + 2.02289i 0.116723 + 0.0848039i 0.644615 0.764507i \(-0.277018\pi\)
−0.527893 + 0.849311i \(0.677018\pi\)
\(570\) −1.17566 11.8736i −0.0492428 0.497329i
\(571\) 3.57635 2.59837i 0.149665 0.108738i −0.510433 0.859918i \(-0.670515\pi\)
0.660098 + 0.751179i \(0.270515\pi\)
\(572\) 0.0614497 0.246461i 0.00256934 0.0103051i
\(573\) −0.518379 + 14.8444i −0.0216556 + 0.620135i
\(574\) 2.72258 15.4405i 0.113638 0.644476i
\(575\) 18.9556 14.5628i 0.790504 0.607309i
\(576\) 12.9663 4.71934i 0.540261 0.196639i
\(577\) 18.0559 + 3.83791i 0.751679 + 0.159774i 0.567791 0.823173i \(-0.307798\pi\)
0.183888 + 0.982947i \(0.441132\pi\)
\(578\) −14.8995 6.63367i −0.619736 0.275924i
\(579\) 21.3115 + 1.49025i 0.885677 + 0.0619326i
\(580\) 4.98576 3.72531i 0.207022 0.154685i
\(581\) −0.0188861 + 0.179689i −0.000783527 + 0.00745476i
\(582\) 0.880948 1.52585i 0.0365165 0.0632484i
\(583\) 1.51652 + 0.434855i 0.0628078 + 0.0180098i
\(584\) −20.8207 2.92616i −0.861567 0.121085i
\(585\) −2.23007 + 2.54441i −0.0922022 + 0.105198i
\(586\) −1.17415 + 33.6232i −0.0485035 + 1.38896i
\(587\) 3.37237 + 8.34690i 0.139192 + 0.344513i 0.980638 0.195828i \(-0.0627395\pi\)
−0.841446 + 0.540342i \(0.818295\pi\)
\(588\) 0.101887 0.313575i 0.00420174 0.0129316i
\(589\) 33.2139 19.8686i 1.36855 0.818671i
\(590\) −4.13219 + 0.344574i −0.170120 + 0.0141859i
\(591\) −1.50271 3.71933i −0.0618131 0.152993i
\(592\) 6.26244 + 9.28445i 0.257385 + 0.381589i
\(593\) −5.64520 + 32.0155i −0.231821 + 1.31472i 0.617386 + 0.786660i \(0.288192\pi\)
−0.849207 + 0.528060i \(0.822920\pi\)
\(594\) −0.886872 + 1.81836i −0.0363888 + 0.0746081i
\(595\) 33.6721 + 6.68758i 1.38042 + 0.274164i
\(596\) 0.642417 + 6.11219i 0.0263144 + 0.250365i
\(597\) −9.80299 4.36457i −0.401210 0.178630i
\(598\) −1.70373 + 4.21687i −0.0696706 + 0.172441i
\(599\) 17.8778 + 15.0013i 0.730468 + 0.612936i 0.930259 0.366903i \(-0.119582\pi\)
−0.199791 + 0.979839i \(0.564026\pi\)
\(600\) 11.0125 + 13.3433i 0.449582 + 0.544738i
\(601\) 11.6835 20.2364i 0.476579 0.825460i −0.523060 0.852296i \(-0.675210\pi\)
0.999640 + 0.0268359i \(0.00854315\pi\)
\(602\) 21.5695 + 27.6077i 0.879106 + 1.12520i
\(603\) −5.60115 5.40896i −0.228096 0.220270i
\(604\) −8.04148 16.4875i −0.327203 0.670866i
\(605\) 22.7427 8.62405i 0.924624 0.350617i
\(606\) −3.05879 + 0.213891i −0.124255 + 0.00868874i
\(607\) 36.0108 1.46163 0.730817 0.682573i \(-0.239139\pi\)
0.730817 + 0.682573i \(0.239139\pi\)
\(608\) 16.8009 8.51915i 0.681368 0.345497i
\(609\) −3.18872 + 9.81388i −0.129214 + 0.397679i
\(610\) 5.97648 36.7646i 0.241980 1.48856i
\(611\) −0.399911 + 11.4520i −0.0161787 + 0.463297i
\(612\) 7.11922 + 3.78536i 0.287777 + 0.153014i
\(613\) 7.18106 + 1.00923i 0.290040 + 0.0407625i 0.282693 0.959211i \(-0.408772\pi\)
0.00734748 + 0.999973i \(0.497661\pi\)
\(614\) 12.4986 + 15.9974i 0.504402 + 0.645604i
\(615\) 13.3805 + 1.69824i 0.539554 + 0.0684798i
\(616\) −2.84181 + 0.604044i −0.114500 + 0.0243376i
\(617\) −0.503791 2.02060i −0.0202819 0.0813461i 0.959302 0.282382i \(-0.0911247\pi\)
−0.979584 + 0.201036i \(0.935569\pi\)
\(618\) −11.3007 9.48237i −0.454579 0.381437i
\(619\) 1.78981 17.0289i 0.0719384 0.684448i −0.897817 0.440369i \(-0.854848\pi\)
0.969755 0.244079i \(-0.0784857\pi\)
\(620\) −6.99598 + 14.8448i −0.280965 + 0.596183i
\(621\) −14.2684 + 21.1538i −0.572573 + 0.848875i
\(622\) 6.36888 + 6.15036i 0.255369 + 0.246607i
\(623\) 10.1314 1.42388i 0.405907 0.0570465i
\(624\) −1.55153 0.564710i −0.0621108 0.0226065i
\(625\) 12.8509 21.4442i 0.514036 0.857769i
\(626\) −1.84318 −0.0736684
\(627\) −0.564359 + 1.62866i −0.0225383 + 0.0650426i
\(628\) 13.2772 9.64644i 0.529817 0.384935i
\(629\) −9.22032 + 36.9807i −0.367638 + 1.47452i
\(630\) 10.9189 + 2.97341i 0.435020 + 0.118463i
\(631\) −26.5751 + 25.6633i −1.05794 + 1.02164i −0.0582110 + 0.998304i \(0.518540\pi\)
−0.999728 + 0.0233352i \(0.992572\pi\)
\(632\) −2.69331 15.2745i −0.107134 0.607587i
\(633\) −4.46958 1.28163i −0.177650 0.0509403i
\(634\) −1.46908 1.63158i −0.0583448 0.0647985i
\(635\) −21.8788 + 28.7895i −0.868234 + 1.14248i
\(636\) −1.57760 + 3.90469i −0.0625558 + 0.154831i
\(637\) 0.262888 0.164270i 0.0104160 0.00650863i
\(638\) 1.24853 0.265383i 0.0494297 0.0105066i
\(639\) −23.1272 4.91583i −0.914896 0.194467i
\(640\) 0.0352418 0.0629719i 0.00139305 0.00248918i
\(641\) 2.62338 + 0.368692i 0.103617 + 0.0145625i 0.190791 0.981631i \(-0.438895\pi\)
−0.0871738 + 0.996193i \(0.527784\pi\)
\(642\) −0.764008 + 0.737794i −0.0301530 + 0.0291184i
\(643\) −1.98039 0.720803i −0.0780990 0.0284257i 0.302675 0.953094i \(-0.402120\pi\)
−0.380774 + 0.924668i \(0.624342\pi\)
\(644\) −10.6892 + 0.747460i −0.421213 + 0.0294541i
\(645\) −22.8265 + 19.6802i −0.898794 + 0.774908i
\(646\) −24.9394 9.62935i −0.981228 0.378862i
\(647\) 4.84537 3.52037i 0.190491 0.138400i −0.488452 0.872591i \(-0.662438\pi\)
0.678943 + 0.734191i \(0.262438\pi\)
\(648\) −2.24024 1.39986i −0.0880051 0.0549917i
\(649\) 0.562893 + 0.204876i 0.0220955 + 0.00804209i
\(650\) −0.0387299 + 4.75647i −0.00151911 + 0.186564i
\(651\) −4.72474 26.7953i −0.185177 1.05019i
\(652\) 8.13328 + 10.4101i 0.318524 + 0.407692i
\(653\) −3.61262 34.3718i −0.141373 1.34507i −0.803331 0.595533i \(-0.796941\pi\)
0.661958 0.749541i \(-0.269726\pi\)
\(654\) −4.18854 1.86486i −0.163785 0.0729217i
\(655\) −8.67639 25.5353i −0.339015 0.997747i
\(656\) −2.14828 8.61628i −0.0838763 0.336409i
\(657\) −5.91549 10.2459i −0.230785 0.399732i
\(658\) 35.0136 15.5891i 1.36497 0.607725i
\(659\) 0.636851 + 18.2370i 0.0248082 + 0.710414i 0.946540 + 0.322586i \(0.104552\pi\)
−0.921732 + 0.387828i \(0.873226\pi\)
\(660\) −0.186287 0.706729i −0.00725121 0.0275094i
\(661\) −43.5632 + 6.12241i −1.69441 + 0.238134i −0.919263 0.393643i \(-0.871215\pi\)
−0.775150 + 0.631777i \(0.782326\pi\)
\(662\) −3.75674 + 4.80841i −0.146010 + 0.186884i
\(663\) −2.10493 5.20988i −0.0817487 0.202335i
\(664\) 0.0630444 + 0.194031i 0.00244660 + 0.00752985i
\(665\) 26.1499 + 3.83599i 1.01405 + 0.148753i
\(666\) −3.88235 + 11.9486i −0.150438 + 0.463000i
\(667\) 16.0595 1.12299i 0.621825 0.0434823i
\(668\) 11.9551 + 4.35130i 0.462557 + 0.168357i
\(669\) −18.4599 + 17.8265i −0.713702 + 0.689214i
\(670\) −10.9295 0.617418i −0.422242 0.0238529i
\(671\) −3.00892 + 4.46091i −0.116158 + 0.172211i
\(672\) −1.38426 13.1704i −0.0533991 0.508058i
\(673\) 23.5570 26.1627i 0.908057 1.00850i −0.0918619 0.995772i \(-0.529282\pi\)
0.999919 0.0127278i \(-0.00405151\pi\)
\(674\) 9.40676 + 7.89321i 0.362335 + 0.304035i
\(675\) −5.76076 + 26.0572i −0.221732 + 1.00294i
\(676\) −5.05392 8.75364i −0.194381 0.336678i
\(677\) −12.5620 2.67014i −0.482798 0.102622i −0.0399184 0.999203i \(-0.512710\pi\)
−0.442880 + 0.896581i \(0.646043\pi\)
\(678\) 6.05624 8.97874i 0.232588 0.344826i
\(679\) 2.80742 + 2.71110i 0.107739 + 0.104042i
\(680\) 37.8057 8.56616i 1.44978 0.328497i
\(681\) 3.75785 + 5.57124i 0.144001 + 0.213491i
\(682\) −2.57823 + 2.16339i −0.0987255 + 0.0828405i
\(683\) −5.24860 3.81333i −0.200832 0.145913i 0.482824 0.875717i \(-0.339611\pi\)
−0.683656 + 0.729804i \(0.739611\pi\)
\(684\) 5.62080 + 2.63442i 0.214917 + 0.100729i
\(685\) 4.66828 19.8515i 0.178366 0.758486i
\(686\) 16.5580 + 10.3466i 0.632189 + 0.395036i
\(687\) 6.38996 8.17878i 0.243792 0.312040i
\(688\) 17.5201 + 9.31562i 0.667949 + 0.355155i
\(689\) −3.49599 + 1.85885i −0.133187 + 0.0708166i
\(690\) 1.54193 + 12.9952i 0.0587004 + 0.494719i
\(691\) 15.0992 + 16.7694i 0.574402 + 0.637939i 0.958411 0.285391i \(-0.0921234\pi\)
−0.384009 + 0.923329i \(0.625457\pi\)
\(692\) 0.0366968 0.349146i 0.00139500 0.0132726i
\(693\) −1.25234 1.05084i −0.0475724 0.0399180i
\(694\) 7.87029 + 31.5660i 0.298752 + 1.19823i
\(695\) 25.2344 33.2050i 0.957195 1.25954i
\(696\) 1.21794 + 11.5879i 0.0461659 + 0.439239i
\(697\) 16.8992 25.0541i 0.640103 0.948992i
\(698\) −8.97005 + 4.76946i −0.339521 + 0.180527i
\(699\) −0.195289 + 1.10754i −0.00738650 + 0.0418909i
\(700\) −10.1122 + 4.83052i −0.382205 + 0.182576i
\(701\) −14.2165 + 11.9291i −0.536950 + 0.450555i −0.870493 0.492180i \(-0.836200\pi\)
0.333543 + 0.942735i \(0.391756\pi\)
\(702\) −1.56903 4.82897i −0.0592191 0.182258i
\(703\) −5.65508 + 28.7921i −0.213285 + 1.08591i
\(704\) −2.26720 + 1.64722i −0.0854484 + 0.0620819i
\(705\) 14.8490 + 29.4385i 0.559246 + 1.10872i
\(706\) −19.5586 28.9968i −0.736096 1.09131i
\(707\) 1.17943 6.68889i 0.0443571 0.251562i
\(708\) −0.700965 + 1.43719i −0.0263439 + 0.0540129i
\(709\) 0.592178 + 16.9578i 0.0222397 + 0.636862i 0.958423 + 0.285350i \(0.0921100\pi\)
−0.936184 + 0.351512i \(0.885668\pi\)
\(710\) −29.1381 + 15.9968i −1.09353 + 0.600348i
\(711\) 5.83989 6.48585i 0.219013 0.243238i
\(712\) 9.79705 6.12188i 0.367160 0.229427i
\(713\) −35.9985 + 22.4943i −1.34815 + 0.842420i
\(714\) −12.5758 + 13.9668i −0.470637 + 0.522696i
\(715\) 0.292937 0.621585i 0.0109552 0.0232460i
\(716\) −0.446208 12.7777i −0.0166756 0.477526i
\(717\) 5.22054 10.7037i 0.194965 0.399737i
\(718\) −1.87172 + 10.6151i −0.0698521 + 0.396151i
\(719\) −10.0003 14.8261i −0.372949 0.552920i 0.595109 0.803645i \(-0.297109\pi\)
−0.968058 + 0.250725i \(0.919331\pi\)
\(720\) 6.33452 0.976871i 0.236074 0.0364058i
\(721\) 26.4363 19.2071i 0.984540 0.715310i
\(722\) −19.5494 6.43664i −0.727555 0.239547i
\(723\) 0.896524 + 2.75922i 0.0333421 + 0.102616i
\(724\) −6.42905 + 5.39461i −0.238934 + 0.200489i
\(725\) 15.1926 7.25739i 0.564239 0.269533i
\(726\) −2.31228 + 13.1136i −0.0858166 + 0.486690i
\(727\) −41.0357 + 21.8191i −1.52193 + 0.809225i −0.999067 0.0431910i \(-0.986248\pi\)
−0.522864 + 0.852416i \(0.675136\pi\)
\(728\) 4.07738 6.04496i 0.151118 0.224041i
\(729\) −2.04678 19.4738i −0.0758065 0.721251i
\(730\) −15.7046 5.47914i −0.581253 0.202792i
\(731\) 16.3368 + 65.5232i 0.604237 + 2.42346i
\(732\) −11.0032 9.23275i −0.406689 0.341252i
\(733\) 2.90169 27.6077i 0.107176 1.01972i −0.800296 0.599604i \(-0.795325\pi\)
0.907473 0.420111i \(-0.138009\pi\)
\(734\) 2.18122 + 2.42249i 0.0805104 + 0.0894158i
\(735\) 0.435602 0.778356i 0.0160674 0.0287101i
\(736\) −18.2421 + 9.69950i −0.672413 + 0.357528i
\(737\) 1.39631 + 0.742430i 0.0514336 + 0.0273477i
\(738\) 6.13321 7.85015i 0.225767 0.288968i
\(739\) −8.12655 5.07803i −0.298940 0.186798i 0.372154 0.928171i \(-0.378619\pi\)
−0.671093 + 0.741373i \(0.734175\pi\)
\(740\) −4.81466 11.4723i −0.176991 0.421729i
\(741\) −1.82056 3.92423i −0.0668801 0.144160i
\(742\) 10.7141 + 7.78425i 0.393327 + 0.285769i
\(743\) −33.6095 + 28.2017i −1.23301 + 1.03462i −0.234976 + 0.972001i \(0.575501\pi\)
−0.998037 + 0.0626201i \(0.980054\pi\)
\(744\) −17.1801 25.4706i −0.629854 0.933796i
\(745\) −1.51648 + 16.5568i −0.0555596 + 0.606596i
\(746\) −26.3777 25.4726i −0.965755 0.932619i
\(747\) −0.0641954 + 0.0951736i −0.00234879 + 0.00348222i
\(748\) −1.60179 0.340471i −0.0585672 0.0124488i
\(749\) −1.17633 2.03746i −0.0429820 0.0744470i
\(750\) 6.48866 + 12.0506i 0.236932 + 0.440027i
\(751\) 11.0683 + 9.28742i 0.403889 + 0.338903i 0.821994 0.569495i \(-0.192861\pi\)
−0.418106 + 0.908398i \(0.637306\pi\)
\(752\) 14.5252 16.1319i 0.529680 0.588269i
\(753\) 1.69151 + 16.0937i 0.0616422 + 0.586486i
\(754\) −1.79137 + 2.65581i −0.0652378 + 0.0967190i
\(755\) −12.6487 47.9862i −0.460334 1.74640i
\(756\) 8.60520 8.30995i 0.312968 0.302230i
\(757\) −1.47568 0.537103i −0.0536344 0.0195213i 0.315064 0.949071i \(-0.397974\pi\)
−0.368698 + 0.929549i \(0.620196\pi\)
\(758\) 6.04755 0.422886i 0.219657 0.0153599i
\(759\) 0.584193 1.79796i 0.0212049 0.0652618i
\(760\) 28.7365 8.05295i 1.04238 0.292111i
\(761\) 8.77848 + 27.0174i 0.318220 + 0.979379i 0.974409 + 0.224783i \(0.0721673\pi\)
−0.656189 + 0.754596i \(0.727833\pi\)
\(762\) −7.41570 18.3545i −0.268643 0.664914i
\(763\) 6.25271 8.00310i 0.226363 0.289732i
\(764\) −10.7584 + 1.51200i −0.389226 + 0.0547022i
\(765\) 16.8955 + 13.7960i 0.610858 + 0.498795i
\(766\) −0.232040 6.64475i −0.00838394 0.240084i
\(767\) −1.37341 + 0.611480i −0.0495908 + 0.0220793i
\(768\) −9.03071 15.6416i −0.325868 0.564419i
\(769\) −7.79256 31.2542i −0.281007 1.12706i −0.930383 0.366589i \(-0.880525\pi\)
0.649376 0.760467i \(-0.275030\pi\)
\(770\) −2.29814 + 0.0307558i