Properties

Label 441.2.y.a.151.44
Level $441$
Weight $2$
Character 441.151
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.44
Character \(\chi\) \(=\) 441.151
Dual form 441.2.y.a.184.44

$q$-expansion

\(f(q)\) \(=\) \(q+(1.60118 - 0.771090i) q^{2} +(-0.884294 + 1.48930i) q^{3} +(0.722233 - 0.905652i) q^{4} +(-2.59882 - 2.41135i) q^{5} +(-0.267532 + 3.06652i) q^{6} +(-1.80347 - 1.93585i) q^{7} +(-0.332830 + 1.45822i) q^{8} +(-1.43605 - 2.63396i) q^{9} +O(q^{10})\) \(q+(1.60118 - 0.771090i) q^{2} +(-0.884294 + 1.48930i) q^{3} +(0.722233 - 0.905652i) q^{4} +(-2.59882 - 2.41135i) q^{5} +(-0.267532 + 3.06652i) q^{6} +(-1.80347 - 1.93585i) q^{7} +(-0.332830 + 1.45822i) q^{8} +(-1.43605 - 2.63396i) q^{9} +(-6.02055 - 1.85709i) q^{10} +(-1.22500 - 0.835189i) q^{11} +(0.710123 + 1.87649i) q^{12} +(-1.91266 - 1.30403i) q^{13} +(-4.38040 - 1.70901i) q^{14} +(5.88935 - 1.73808i) q^{15} +(1.10702 + 4.85019i) q^{16} +(0.421630 - 0.0635504i) q^{17} +(-4.33040 - 3.11014i) q^{18} +(-2.91097 - 5.04194i) q^{19} +(-4.06079 + 0.612066i) q^{20} +(4.47786 - 0.974051i) q^{21} +(-2.60545 - 0.392709i) q^{22} +(0.675703 + 1.72166i) q^{23} +(-1.87742 - 1.78518i) q^{24} +(0.565590 + 7.54728i) q^{25} +(-4.06804 - 0.613158i) q^{26} +(5.19266 + 0.190490i) q^{27} +(-3.05573 + 0.235180i) q^{28} +(8.25590 - 1.24438i) q^{29} +(8.08971 - 7.32421i) q^{30} -7.64497 q^{31} +(3.64734 + 4.57362i) q^{32} +(2.32711 - 1.08584i) q^{33} +(0.626104 - 0.426870i) q^{34} +(0.0188767 + 9.37970i) q^{35} +(-3.42262 - 0.601778i) q^{36} +(-1.11492 + 2.84076i) q^{37} +(-8.54878 - 5.82846i) q^{38} +(3.63344 - 1.69538i) q^{39} +(4.38125 - 2.98709i) q^{40} +(2.34106 - 0.722120i) q^{41} +(6.41880 - 5.01247i) q^{42} +(-10.4505 - 3.22356i) q^{43} +(-1.64112 + 0.506220i) q^{44} +(-2.61938 + 10.3080i) q^{45} +(2.40948 + 2.23567i) q^{46} +(2.64020 - 1.27145i) q^{47} +(-8.20233 - 2.64030i) q^{48} +(-0.495010 + 6.98248i) q^{49} +(6.72524 + 11.6485i) q^{50} +(-0.278199 + 0.684132i) q^{51} +(-2.56238 + 0.790388i) q^{52} +(-3.69994 - 9.42729i) q^{53} +(8.46129 - 3.69900i) q^{54} +(1.16961 + 5.12440i) q^{55} +(3.42315 - 1.98555i) q^{56} +(10.0831 + 0.123249i) q^{57} +(12.2597 - 8.35852i) q^{58} +(0.506449 + 2.21890i) q^{59} +(2.67938 - 6.58900i) q^{60} +(3.38222 + 4.24117i) q^{61} +(-12.2410 + 5.89496i) q^{62} +(-2.50909 + 7.53024i) q^{63} +(0.402244 + 0.193711i) q^{64} +(1.82618 + 8.00100i) q^{65} +(2.88885 - 3.53304i) q^{66} +4.60677 q^{67} +(0.246960 - 0.427748i) q^{68} +(-3.16160 - 0.516130i) q^{69} +(7.26282 + 15.0041i) q^{70} +(9.09991 - 11.4109i) q^{71} +(4.31887 - 1.21742i) q^{72} +(4.11216 - 2.80362i) q^{73} +(0.405295 + 5.40829i) q^{74} +(-11.7403 - 5.83168i) q^{75} +(-6.66864 - 1.00514i) q^{76} +(0.592445 + 3.87765i) q^{77} +(4.51052 - 5.51633i) q^{78} -5.71772 q^{79} +(8.81854 - 15.2742i) q^{80} +(-4.87554 + 7.56499i) q^{81} +(3.19164 - 2.96141i) q^{82} +(-7.97333 + 5.43613i) q^{83} +(2.35191 - 4.75887i) q^{84} +(-1.24898 - 0.851540i) q^{85} +(-19.2189 + 2.89678i) q^{86} +(-5.44739 + 13.3959i) q^{87} +(1.62561 - 1.50835i) q^{88} +(-0.179417 - 2.39415i) q^{89} +(3.75427 + 18.5248i) q^{90} +(0.925016 + 6.05438i) q^{91} +(2.04724 + 0.631490i) q^{92} +(6.76041 - 11.3857i) q^{93} +(3.24705 - 4.07167i) q^{94} +(-4.59281 + 20.1224i) q^{95} +(-10.0368 + 1.38757i) q^{96} +(-2.09625 + 3.63080i) q^{97} +(4.59151 + 11.5619i) q^{98} +(-0.440704 + 4.42597i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.60118 0.771090i 1.13221 0.545243i 0.228565 0.973529i \(-0.426597\pi\)
0.903643 + 0.428286i \(0.140882\pi\)
\(3\) −0.884294 + 1.48930i −0.510548 + 0.859850i
\(4\) 0.722233 0.905652i 0.361117 0.452826i
\(5\) −2.59882 2.41135i −1.16223 1.07839i −0.995727 0.0923460i \(-0.970563\pi\)
−0.166499 0.986042i \(-0.553246\pi\)
\(6\) −0.267532 + 3.06652i −0.109219 + 1.25190i
\(7\) −1.80347 1.93585i −0.681647 0.731682i
\(8\) −0.332830 + 1.45822i −0.117673 + 0.515560i
\(9\) −1.43605 2.63396i −0.478682 0.877988i
\(10\) −6.02055 1.85709i −1.90386 0.587265i
\(11\) −1.22500 0.835189i −0.369351 0.251819i 0.364393 0.931245i \(-0.381276\pi\)
−0.733744 + 0.679426i \(0.762229\pi\)
\(12\) 0.710123 + 1.87649i 0.204995 + 0.541695i
\(13\) −1.91266 1.30403i −0.530475 0.361672i 0.268268 0.963344i \(-0.413549\pi\)
−0.798743 + 0.601673i \(0.794501\pi\)
\(14\) −4.38040 1.70901i −1.17071 0.456753i
\(15\) 5.88935 1.73808i 1.52062 0.448771i
\(16\) 1.10702 + 4.85019i 0.276756 + 1.21255i
\(17\) 0.421630 0.0635504i 0.102260 0.0154132i −0.0977128 0.995215i \(-0.531153\pi\)
0.199973 + 0.979801i \(0.435915\pi\)
\(18\) −4.33040 3.11014i −1.02069 0.733067i
\(19\) −2.91097 5.04194i −0.667821 1.15670i −0.978512 0.206189i \(-0.933894\pi\)
0.310691 0.950511i \(-0.399440\pi\)
\(20\) −4.06079 + 0.612066i −0.908021 + 0.136862i
\(21\) 4.47786 0.974051i 0.977149 0.212555i
\(22\) −2.60545 0.392709i −0.555485 0.0837258i
\(23\) 0.675703 + 1.72166i 0.140894 + 0.358991i 0.983851 0.178989i \(-0.0572827\pi\)
−0.842957 + 0.537980i \(0.819187\pi\)
\(24\) −1.87742 1.78518i −0.383226 0.364399i
\(25\) 0.565590 + 7.54728i 0.113118 + 1.50946i
\(26\) −4.06804 0.613158i −0.797807 0.120250i
\(27\) 5.19266 + 0.190490i 0.999328 + 0.0366599i
\(28\) −3.05573 + 0.235180i −0.577478 + 0.0444449i
\(29\) 8.25590 1.24438i 1.53308 0.231075i 0.672389 0.740198i \(-0.265268\pi\)
0.860694 + 0.509123i \(0.170030\pi\)
\(30\) 8.08971 7.32421i 1.47697 1.33721i
\(31\) −7.64497 −1.37308 −0.686539 0.727093i \(-0.740871\pi\)
−0.686539 + 0.727093i \(0.740871\pi\)
\(32\) 3.64734 + 4.57362i 0.644765 + 0.808509i
\(33\) 2.32711 1.08584i 0.405098 0.189020i
\(34\) 0.626104 0.426870i 0.107376 0.0732077i
\(35\) 0.0188767 + 9.37970i 0.00319074 + 1.58546i
\(36\) −3.42262 0.601778i −0.570436 0.100296i
\(37\) −1.11492 + 2.84076i −0.183291 + 0.467018i −0.992756 0.120150i \(-0.961662\pi\)
0.809464 + 0.587169i \(0.199758\pi\)
\(38\) −8.54878 5.82846i −1.38680 0.945501i
\(39\) 3.63344 1.69538i 0.581816 0.271478i
\(40\) 4.38125 2.98709i 0.692737 0.472300i
\(41\) 2.34106 0.722120i 0.365612 0.112776i −0.106505 0.994312i \(-0.533966\pi\)
0.472117 + 0.881536i \(0.343490\pi\)
\(42\) 6.41880 5.01247i 0.990442 0.773441i
\(43\) −10.4505 3.22356i −1.59369 0.491588i −0.634160 0.773201i \(-0.718654\pi\)
−0.959528 + 0.281614i \(0.909130\pi\)
\(44\) −1.64112 + 0.506220i −0.247409 + 0.0763155i
\(45\) −2.61938 + 10.3080i −0.390475 + 1.53663i
\(46\) 2.40948 + 2.23567i 0.355259 + 0.329632i
\(47\) 2.64020 1.27145i 0.385113 0.185461i −0.231302 0.972882i \(-0.574299\pi\)
0.616415 + 0.787421i \(0.288584\pi\)
\(48\) −8.20233 2.64030i −1.18390 0.381094i
\(49\) −0.495010 + 6.98248i −0.0707158 + 0.997497i
\(50\) 6.72524 + 11.6485i 0.951093 + 1.64734i
\(51\) −0.278199 + 0.684132i −0.0389556 + 0.0957976i
\(52\) −2.56238 + 0.790388i −0.355338 + 0.109607i
\(53\) −3.69994 9.42729i −0.508226 1.29494i −0.922925 0.384980i \(-0.874208\pi\)
0.414699 0.909959i \(-0.363887\pi\)
\(54\) 8.46129 3.69900i 1.15144 0.503370i
\(55\) 1.16961 + 5.12440i 0.157710 + 0.690974i
\(56\) 3.42315 1.98555i 0.457437 0.265330i
\(57\) 10.0831 + 0.123249i 1.33554 + 0.0163247i
\(58\) 12.2597 8.35852i 1.60978 1.09753i
\(59\) 0.506449 + 2.21890i 0.0659340 + 0.288876i 0.997136 0.0756274i \(-0.0240960\pi\)
−0.931202 + 0.364503i \(0.881239\pi\)
\(60\) 2.67938 6.58900i 0.345907 0.850636i
\(61\) 3.38222 + 4.24117i 0.433048 + 0.543026i 0.949696 0.313172i \(-0.101392\pi\)
−0.516648 + 0.856198i \(0.672820\pi\)
\(62\) −12.2410 + 5.89496i −1.55461 + 0.748661i
\(63\) −2.50909 + 7.53024i −0.316115 + 0.948721i
\(64\) 0.402244 + 0.193711i 0.0502805 + 0.0242138i
\(65\) 1.82618 + 8.00100i 0.226509 + 0.992402i
\(66\) 2.88885 3.53304i 0.355593 0.434887i
\(67\) 4.60677 0.562806 0.281403 0.959590i \(-0.409200\pi\)
0.281403 + 0.959590i \(0.409200\pi\)
\(68\) 0.246960 0.427748i 0.0299483 0.0518720i
\(69\) −3.16160 0.516130i −0.380612 0.0621348i
\(70\) 7.26282 + 15.0041i 0.868072 + 1.79333i
\(71\) 9.09991 11.4109i 1.07996 1.35423i 0.149114 0.988820i \(-0.452358\pi\)
0.930847 0.365408i \(-0.119071\pi\)
\(72\) 4.31887 1.21742i 0.508984 0.143474i
\(73\) 4.11216 2.80362i 0.481291 0.328139i −0.298252 0.954487i \(-0.596404\pi\)
0.779543 + 0.626348i \(0.215451\pi\)
\(74\) 0.405295 + 5.40829i 0.0471146 + 0.628700i
\(75\) −11.7403 5.83168i −1.35566 0.673384i
\(76\) −6.66864 1.00514i −0.764945 0.115297i
\(77\) 0.592445 + 3.87765i 0.0675153 + 0.441899i
\(78\) 4.51052 5.51633i 0.510716 0.624601i
\(79\) −5.71772 −0.643294 −0.321647 0.946860i \(-0.604236\pi\)
−0.321647 + 0.946860i \(0.604236\pi\)
\(80\) 8.81854 15.2742i 0.985943 1.70770i
\(81\) −4.87554 + 7.56499i −0.541726 + 0.840555i
\(82\) 3.19164 2.96141i 0.352458 0.327033i
\(83\) −7.97333 + 5.43613i −0.875187 + 0.596692i −0.915421 0.402498i \(-0.868142\pi\)
0.0402339 + 0.999190i \(0.487190\pi\)
\(84\) 2.35191 4.75887i 0.256614 0.519236i
\(85\) −1.24898 0.851540i −0.135471 0.0923625i
\(86\) −19.2189 + 2.89678i −2.07242 + 0.312367i
\(87\) −5.44739 + 13.3959i −0.584022 + 1.43619i
\(88\) 1.62561 1.50835i 0.173291 0.160790i
\(89\) −0.179417 2.39415i −0.0190182 0.253780i −0.998607 0.0527673i \(-0.983196\pi\)
0.979589 0.201013i \(-0.0644232\pi\)
\(90\) 3.75427 + 18.5248i 0.395735 + 1.95268i
\(91\) 0.925016 + 6.05438i 0.0969680 + 0.634671i
\(92\) 2.04724 + 0.631490i 0.213440 + 0.0658374i
\(93\) 6.76041 11.3857i 0.701021 1.18064i
\(94\) 3.24705 4.07167i 0.334907 0.419960i
\(95\) −4.59281 + 20.1224i −0.471213 + 2.06452i
\(96\) −10.0368 + 1.38757i −1.02438 + 0.141618i
\(97\) −2.09625 + 3.63080i −0.212841 + 0.368652i −0.952603 0.304217i \(-0.901605\pi\)
0.739761 + 0.672869i \(0.234938\pi\)
\(98\) 4.59151 + 11.5619i 0.463813 + 1.16793i
\(99\) −0.440704 + 4.42597i −0.0442925 + 0.444827i
\(100\) 7.24369 + 4.93867i 0.724369 + 0.493867i
\(101\) 12.3852 3.82032i 1.23237 0.380136i 0.390897 0.920434i \(-0.372165\pi\)
0.841474 + 0.540298i \(0.181689\pi\)
\(102\) 0.0820793 + 1.30994i 0.00812706 + 0.129703i
\(103\) −9.62325 8.92907i −0.948207 0.879808i 0.0446639 0.999002i \(-0.485778\pi\)
−0.992871 + 0.119195i \(0.961969\pi\)
\(104\) 2.53815 2.35506i 0.248886 0.230933i
\(105\) −13.9859 8.26630i −1.36488 0.806708i
\(106\) −13.1936 12.2419i −1.28147 1.18903i
\(107\) −0.0776789 1.03655i −0.00750951 0.100207i 0.992190 0.124739i \(-0.0398095\pi\)
−0.999699 + 0.0245320i \(0.992190\pi\)
\(108\) 3.92283 4.56516i 0.377474 0.439283i
\(109\) 1.35858 18.1290i 0.130128 1.73644i −0.425455 0.904980i \(-0.639886\pi\)
0.555583 0.831461i \(-0.312495\pi\)
\(110\) 5.82414 + 7.30324i 0.555310 + 0.696336i
\(111\) −3.24484 4.17252i −0.307987 0.396038i
\(112\) 7.39274 10.8902i 0.698548 1.02903i
\(113\) 0.999765 + 13.3409i 0.0940500 + 1.25501i 0.822043 + 0.569425i \(0.192834\pi\)
−0.727993 + 0.685585i \(0.759547\pi\)
\(114\) 16.2400 7.57765i 1.52101 0.709712i
\(115\) 2.39550 6.10364i 0.223382 0.569167i
\(116\) 4.83571 8.37570i 0.448985 0.777664i
\(117\) −0.688095 + 6.91051i −0.0636144 + 0.638877i
\(118\) 2.52189 + 3.16235i 0.232159 + 0.291118i
\(119\) −0.883419 0.701599i −0.0809829 0.0643155i
\(120\) 0.574362 + 9.16647i 0.0524318 + 0.836781i
\(121\) −3.21567 8.19340i −0.292334 0.744855i
\(122\) 8.68587 + 4.18290i 0.786382 + 0.378702i
\(123\) −0.994727 + 4.12511i −0.0896915 + 0.371949i
\(124\) −5.52145 + 6.92368i −0.495841 + 0.621765i
\(125\) 5.67727 7.11907i 0.507791 0.636749i
\(126\) 1.78898 + 13.9920i 0.159375 + 1.24651i
\(127\) 2.60677 + 3.26878i 0.231313 + 0.290058i 0.883919 0.467640i \(-0.154896\pi\)
−0.652606 + 0.757698i \(0.726324\pi\)
\(128\) −10.9063 −0.963992
\(129\) 14.0422 12.7134i 1.23635 1.11935i
\(130\) 9.09354 + 11.4029i 0.797556 + 1.00010i
\(131\) −6.32730 1.95172i −0.552819 0.170522i 0.00574490 0.999983i \(-0.498171\pi\)
−0.558564 + 0.829461i \(0.688648\pi\)
\(132\) 0.697322 2.89178i 0.0606941 0.251697i
\(133\) −4.51060 + 14.7282i −0.391118 + 1.27709i
\(134\) 7.37629 3.55223i 0.637214 0.306866i
\(135\) −13.0354 13.0164i −1.12191 1.12027i
\(136\) −0.0476603 + 0.635982i −0.00408683 + 0.0545350i
\(137\) 9.18182 8.51948i 0.784456 0.727869i −0.182391 0.983226i \(-0.558384\pi\)
0.966847 + 0.255357i \(0.0821932\pi\)
\(138\) −5.46028 + 1.61146i −0.464810 + 0.137176i
\(139\) −14.1993 + 4.37989i −1.20437 + 0.371498i −0.831045 0.556205i \(-0.812257\pi\)
−0.373320 + 0.927702i \(0.621781\pi\)
\(140\) 8.50837 + 6.75723i 0.719089 + 0.571090i
\(141\) −0.441135 + 5.05640i −0.0371503 + 0.425826i
\(142\) 5.77179 25.2879i 0.484358 2.12211i
\(143\) 1.25389 + 3.19486i 0.104856 + 0.267167i
\(144\) 11.1855 9.88096i 0.932123 0.823413i
\(145\) −24.4562 16.6739i −2.03098 1.38470i
\(146\) 4.42248 7.65995i 0.366007 0.633942i
\(147\) −9.96129 6.91178i −0.821593 0.570074i
\(148\) 1.76751 + 3.06142i 0.145288 + 0.251647i
\(149\) 1.08017 14.4139i 0.0884912 1.18083i −0.759386 0.650640i \(-0.774501\pi\)
0.847877 0.530192i \(-0.177880\pi\)
\(150\) −23.2952 0.284744i −1.90204 0.0232493i
\(151\) −4.05799 0.611644i −0.330235 0.0497749i −0.0181678 0.999835i \(-0.505783\pi\)
−0.312067 + 0.950060i \(0.601021\pi\)
\(152\) 8.32114 2.56673i 0.674933 0.208189i
\(153\) −0.772870 1.01930i −0.0624828 0.0824052i
\(154\) 3.93863 + 5.75200i 0.317384 + 0.463509i
\(155\) 19.8679 + 18.4347i 1.59583 + 1.48071i
\(156\) 1.08877 4.51509i 0.0871711 0.361497i
\(157\) −5.35637 23.4678i −0.427485 1.87293i −0.484880 0.874580i \(-0.661137\pi\)
0.0573959 0.998351i \(-0.481720\pi\)
\(158\) −9.15513 + 4.40888i −0.728343 + 0.350751i
\(159\) 17.3119 + 2.82617i 1.37293 + 0.224130i
\(160\) 1.54983 20.6810i 0.122525 1.63498i
\(161\) 2.11427 4.41302i 0.166628 0.347795i
\(162\) −1.97334 + 15.8724i −0.155041 + 1.24706i
\(163\) 15.7554 14.6189i 1.23406 1.14504i 0.249799 0.968298i \(-0.419635\pi\)
0.984258 0.176740i \(-0.0565551\pi\)
\(164\) 1.03680 2.64172i 0.0809604 0.206284i
\(165\) −8.66606 2.78957i −0.674652 0.217168i
\(166\) −8.57504 + 14.8524i −0.665552 + 1.15277i
\(167\) 2.87885 7.33519i 0.222772 0.567614i −0.775169 0.631754i \(-0.782335\pi\)
0.997941 + 0.0641400i \(0.0204304\pi\)
\(168\) −0.0699822 + 6.85392i −0.00539925 + 0.528791i
\(169\) −2.79167 7.11305i −0.214744 0.547158i
\(170\) −2.65646 0.400397i −0.203741 0.0307091i
\(171\) −9.10001 + 14.9078i −0.695895 + 1.14003i
\(172\) −10.4671 + 7.13637i −0.798111 + 0.544143i
\(173\) −4.42907 + 5.55388i −0.336736 + 0.422254i −0.921154 0.389199i \(-0.872752\pi\)
0.584417 + 0.811453i \(0.301323\pi\)
\(174\) 1.60719 + 25.6498i 0.121841 + 1.94451i
\(175\) 13.5904 14.7062i 1.02733 1.11168i
\(176\) 2.69472 6.86604i 0.203122 0.517547i
\(177\) −3.75246 1.20790i −0.282052 0.0907915i
\(178\) −2.13339 3.69514i −0.159904 0.276962i
\(179\) −18.8145 + 2.83584i −1.40626 + 0.211960i −0.807926 0.589283i \(-0.799410\pi\)
−0.598338 + 0.801244i \(0.704172\pi\)
\(180\) 7.44365 + 9.81703i 0.554817 + 0.731718i
\(181\) 7.07131 + 3.40536i 0.525606 + 0.253119i 0.677819 0.735229i \(-0.262926\pi\)
−0.152212 + 0.988348i \(0.548640\pi\)
\(182\) 6.14959 + 8.98091i 0.455838 + 0.665709i
\(183\) −9.30726 + 1.28671i −0.688012 + 0.0951161i
\(184\) −2.73546 + 0.412305i −0.201661 + 0.0303955i
\(185\) 9.74753 4.69416i 0.716653 0.345122i
\(186\) 2.04527 23.4435i 0.149967 1.71896i
\(187\) −0.569572 0.274291i −0.0416512 0.0200582i
\(188\) 0.755347 3.30939i 0.0550893 0.241362i
\(189\) −8.99603 10.3957i −0.654365 0.756179i
\(190\) 8.16226 + 35.7612i 0.592152 + 2.59439i
\(191\) −3.70711 + 16.2419i −0.268237 + 1.17522i 0.643825 + 0.765172i \(0.277346\pi\)
−0.912062 + 0.410051i \(0.865511\pi\)
\(192\) −0.644196 + 0.427766i −0.0464908 + 0.0308714i
\(193\) −5.26324 + 23.0598i −0.378856 + 1.65988i 0.322124 + 0.946698i \(0.395603\pi\)
−0.700980 + 0.713181i \(0.747254\pi\)
\(194\) −0.556800 + 7.42998i −0.0399759 + 0.533441i
\(195\) −13.5308 4.35551i −0.968960 0.311904i
\(196\) 5.96618 + 5.49128i 0.426156 + 0.392234i
\(197\) −16.5925 −1.18216 −0.591082 0.806611i \(-0.701299\pi\)
−0.591082 + 0.806611i \(0.701299\pi\)
\(198\) 2.70717 + 7.42662i 0.192390 + 0.527787i
\(199\) 13.4107 + 12.4434i 0.950663 + 0.882086i 0.993131 0.117012i \(-0.0373315\pi\)
−0.0424677 + 0.999098i \(0.513522\pi\)
\(200\) −11.1939 1.68720i −0.791526 0.119303i
\(201\) −4.07374 + 6.86087i −0.287339 + 0.483929i
\(202\) 16.8851 15.6671i 1.18803 1.10233i
\(203\) −17.2982 13.7380i −1.21409 0.964216i
\(204\) 0.418661 + 0.746054i 0.0293121 + 0.0522342i
\(205\) −7.82526 3.76845i −0.546540 0.263200i
\(206\) −22.2937 6.87670i −1.55328 0.479122i
\(207\) 3.56446 4.25217i 0.247747 0.295546i
\(208\) 4.20742 10.7203i 0.291732 0.743321i
\(209\) −0.645049 + 8.60757i −0.0446189 + 0.595398i
\(210\) −28.7681 2.45148i −1.98519 0.169168i
\(211\) −1.08985 14.5430i −0.0750282 1.00118i −0.899967 0.435959i \(-0.856409\pi\)
0.824938 0.565223i \(-0.191210\pi\)
\(212\) −11.2101 3.45785i −0.769910 0.237486i
\(213\) 8.94733 + 23.6431i 0.613061 + 1.62000i
\(214\) −0.923654 1.59982i −0.0631397 0.109361i
\(215\) 19.3858 + 33.5773i 1.32210 + 2.28995i
\(216\) −2.00605 + 7.50866i −0.136495 + 0.510900i
\(217\) 13.7875 + 14.7995i 0.935954 + 1.00466i
\(218\) −11.8037 30.0754i −0.799449 2.03696i
\(219\) 0.539084 + 8.60347i 0.0364279 + 0.581369i
\(220\) 5.48565 + 2.64175i 0.369843 + 0.178107i
\(221\) −0.889303 0.428266i −0.0598210 0.0288083i
\(222\) −8.41298 4.17891i −0.564642 0.280470i
\(223\) 7.58213 + 19.3189i 0.507737 + 1.29369i 0.923283 + 0.384120i \(0.125495\pi\)
−0.415546 + 0.909572i \(0.636410\pi\)
\(224\) 2.27597 15.3091i 0.152070 1.02288i
\(225\) 19.0670 12.3280i 1.27114 0.821866i
\(226\) 11.8879 + 20.5904i 0.790769 + 1.36965i
\(227\) 7.05686 + 12.2228i 0.468380 + 0.811258i 0.999347 0.0361346i \(-0.0115045\pi\)
−0.530967 + 0.847393i \(0.678171\pi\)
\(228\) 7.39399 9.04279i 0.489679 0.598873i
\(229\) 7.30289 + 2.25264i 0.482588 + 0.148859i 0.526497 0.850177i \(-0.323505\pi\)
−0.0439090 + 0.999036i \(0.513981\pi\)
\(230\) −0.870813 11.6202i −0.0574197 0.766213i
\(231\) −6.29889 2.54665i −0.414436 0.167557i
\(232\) −0.933232 + 12.4531i −0.0612697 + 0.817587i
\(233\) −9.26266 + 23.6009i −0.606817 + 1.54614i 0.215134 + 0.976585i \(0.430981\pi\)
−0.821950 + 0.569559i \(0.807114\pi\)
\(234\) 4.22686 + 11.5956i 0.276318 + 0.758027i
\(235\) −9.92732 3.06217i −0.647587 0.199754i
\(236\) 2.37532 + 1.14389i 0.154620 + 0.0744612i
\(237\) 5.05615 8.51542i 0.328432 0.553136i
\(238\) −1.95551 0.442195i −0.126757 0.0286632i
\(239\) 4.30608 3.99546i 0.278537 0.258445i −0.528516 0.848923i \(-0.677251\pi\)
0.807053 + 0.590478i \(0.201061\pi\)
\(240\) 14.9497 + 26.6403i 0.964997 + 1.71963i
\(241\) 0.450861 + 0.0679563i 0.0290425 + 0.00437745i 0.163547 0.986535i \(-0.447706\pi\)
−0.134505 + 0.990913i \(0.542944\pi\)
\(242\) −11.4667 10.6396i −0.737110 0.683938i
\(243\) −6.95516 13.9508i −0.446174 0.894946i
\(244\) 6.28377 0.402277
\(245\) 18.1236 16.9525i 1.15788 1.08306i
\(246\) 1.58809 + 7.37209i 0.101253 + 0.470027i
\(247\) −1.00715 + 13.4395i −0.0640834 + 0.855133i
\(248\) 2.54448 11.1481i 0.161575 0.707904i
\(249\) −1.04527 16.6818i −0.0662411 1.05717i
\(250\) 3.60092 15.7766i 0.227742 0.997802i
\(251\) −1.56318 6.84872i −0.0986667 0.432287i 0.901333 0.433127i \(-0.142590\pi\)
−1.00000 0.000839737i \(0.999733\pi\)
\(252\) 5.00763 + 7.71095i 0.315451 + 0.485744i
\(253\) 0.610180 2.67337i 0.0383617 0.168073i
\(254\) 6.69444 + 3.22387i 0.420047 + 0.202284i
\(255\) 2.37267 1.10710i 0.148582 0.0693291i
\(256\) −18.2675 + 8.79718i −1.14172 + 0.549824i
\(257\) −15.8761 + 2.39294i −0.990324 + 0.149267i −0.624172 0.781287i \(-0.714563\pi\)
−0.366153 + 0.930555i \(0.619325\pi\)
\(258\) 12.6809 31.1843i 0.789481 1.94145i
\(259\) 7.51000 2.96491i 0.466649 0.184231i
\(260\) 8.56504 + 4.12471i 0.531181 + 0.255804i
\(261\) −15.1335 19.9588i −0.936740 1.23542i
\(262\) −11.6361 + 1.75386i −0.718883 + 0.108354i
\(263\) 5.26500 + 9.11925i 0.324654 + 0.562317i 0.981442 0.191758i \(-0.0614189\pi\)
−0.656788 + 0.754075i \(0.728086\pi\)
\(264\) 0.808866 + 3.75485i 0.0497823 + 0.231095i
\(265\) −13.1170 + 33.4216i −0.805773 + 2.05308i
\(266\) 4.13444 + 27.0606i 0.253499 + 1.65919i
\(267\) 3.72428 + 1.84993i 0.227922 + 0.113214i
\(268\) 3.32716 4.17213i 0.203239 0.254853i
\(269\) 22.2986 15.2029i 1.35957 0.926940i 0.359590 0.933110i \(-0.382917\pi\)
0.999981 + 0.00617064i \(0.00196419\pi\)
\(270\) −30.9089 10.7901i −1.88106 0.656665i
\(271\) 6.13721 + 0.925036i 0.372809 + 0.0561919i 0.332775 0.943006i \(-0.392015\pi\)
0.0400344 + 0.999198i \(0.487253\pi\)
\(272\) 0.774985 + 1.97463i 0.0469904 + 0.119730i
\(273\) −9.83479 3.97622i −0.595228 0.240652i
\(274\) 8.13250 20.7213i 0.491302 1.25182i
\(275\) 5.61056 9.71778i 0.338330 0.586004i
\(276\) −2.75084 + 2.49054i −0.165581 + 0.149913i
\(277\) −5.62017 + 14.3200i −0.337683 + 0.860403i 0.656660 + 0.754187i \(0.271969\pi\)
−0.994343 + 0.106216i \(0.966127\pi\)
\(278\) −19.3583 + 17.9619i −1.16104 + 1.07728i
\(279\) 10.9785 + 20.1366i 0.657268 + 1.20555i
\(280\) −13.6840 3.09432i −0.817775 0.184921i
\(281\) 1.40614 18.7636i 0.0838832 1.11934i −0.783397 0.621522i \(-0.786515\pi\)
0.867280 0.497821i \(-0.165866\pi\)
\(282\) 3.19260 + 8.43639i 0.190117 + 0.502380i
\(283\) 15.7899 7.60400i 0.938610 0.452011i 0.0989311 0.995094i \(-0.468458\pi\)
0.839679 + 0.543084i \(0.182743\pi\)
\(284\) −3.76207 16.4827i −0.223238 0.978068i
\(285\) −25.9070 24.6342i −1.53460 1.45921i
\(286\) 4.47123 + 4.14870i 0.264389 + 0.245318i
\(287\) −5.61993 3.22961i −0.331734 0.190638i
\(288\) 6.80900 16.1749i 0.401224 0.953115i
\(289\) −16.0710 + 4.95725i −0.945353 + 0.291603i
\(290\) −52.0160 7.84015i −3.05448 0.460389i
\(291\) −3.55367 6.33264i −0.208320 0.371226i
\(292\) 0.430832 5.74905i 0.0252125 0.336438i
\(293\) 0.461345 + 0.799073i 0.0269520 + 0.0466823i 0.879187 0.476477i \(-0.158087\pi\)
−0.852235 + 0.523160i \(0.824753\pi\)
\(294\) −21.2795 3.38599i −1.24104 0.197475i
\(295\) 4.03437 6.98773i 0.234890 0.406841i
\(296\) −3.77139 2.57129i −0.219208 0.149453i
\(297\) −6.20190 4.57020i −0.359871 0.265190i
\(298\) −9.38486 23.9122i −0.543650 1.38520i
\(299\) 0.952706 4.17408i 0.0550964 0.241393i
\(300\) −13.7607 + 6.42082i −0.794476 + 0.370706i
\(301\) 12.6068 + 26.0442i 0.726647 + 1.50116i
\(302\) −6.96923 + 2.14972i −0.401034 + 0.123703i
\(303\) −5.26252 + 21.8236i −0.302324 + 1.25373i
\(304\) 21.2318 19.7003i 1.21773 1.12989i
\(305\) 1.43717 19.1777i 0.0822922 1.09811i
\(306\) −2.02348 1.03613i −0.115674 0.0592316i
\(307\) −22.9428 + 11.0487i −1.30941 + 0.630580i −0.952779 0.303664i \(-0.901790\pi\)
−0.356634 + 0.934244i \(0.616076\pi\)
\(308\) 3.93968 + 2.26402i 0.224484 + 0.129004i
\(309\) 21.8079 6.43601i 1.24061 0.366132i
\(310\) 46.0269 + 14.1974i 2.61415 + 0.806360i
\(311\) 3.22872 + 4.04868i 0.183084 + 0.229580i 0.864901 0.501943i \(-0.167381\pi\)
−0.681817 + 0.731523i \(0.738810\pi\)
\(312\) 1.26293 + 5.86264i 0.0714991 + 0.331907i
\(313\) 18.1650 1.02675 0.513375 0.858165i \(-0.328395\pi\)
0.513375 + 0.858165i \(0.328395\pi\)
\(314\) −26.6723 33.4460i −1.50520 1.88747i
\(315\) 24.6787 13.5194i 1.39049 0.761732i
\(316\) −4.12953 + 5.17826i −0.232304 + 0.291300i
\(317\) 5.24152 6.57266i 0.294393 0.369157i −0.612534 0.790444i \(-0.709850\pi\)
0.906928 + 0.421287i \(0.138421\pi\)
\(318\) 29.8988 8.82384i 1.67664 0.494816i
\(319\) −11.1527 5.37088i −0.624434 0.300712i
\(320\) −0.578254 1.47337i −0.0323254 0.0823638i
\(321\) 1.61243 + 0.800931i 0.0899972 + 0.0447036i
\(322\) −0.0175014 8.69635i −0.000975316 0.484629i
\(323\) −1.54777 1.94084i −0.0861201 0.107991i
\(324\) 3.32998 + 9.87923i 0.184999 + 0.548846i
\(325\) 8.76007 15.1729i 0.485921 0.841640i
\(326\) 13.9548 35.5563i 0.772886 1.96928i
\(327\) 25.7981 + 18.0547i 1.42664 + 0.998426i
\(328\) 0.273839 + 3.65413i 0.0151202 + 0.201766i
\(329\) −7.22286 2.81800i −0.398209 0.155362i
\(330\) −16.0270 + 2.21569i −0.882256 + 0.121970i
\(331\) −6.05991 7.59889i −0.333083 0.417673i 0.586883 0.809672i \(-0.300355\pi\)
−0.919966 + 0.391999i \(0.871784\pi\)
\(332\) −0.835368 + 11.1472i −0.0458468 + 0.611783i
\(333\) 9.08354 1.14282i 0.497775 0.0626260i
\(334\) −1.04652 13.9649i −0.0572631 0.764123i
\(335\) −11.9721 11.1085i −0.654108 0.606923i
\(336\) 9.68142 + 20.6402i 0.528165 + 1.12601i
\(337\) −10.4501 + 9.69628i −0.569254 + 0.528190i −0.911435 0.411444i \(-0.865025\pi\)
0.342182 + 0.939634i \(0.388834\pi\)
\(338\) −9.95478 9.23669i −0.541469 0.502410i
\(339\) −20.7528 10.3084i −1.12714 0.559873i
\(340\) −1.67325 + 0.516130i −0.0907449 + 0.0279911i
\(341\) 9.36508 + 6.38500i 0.507147 + 0.345767i
\(342\) −3.07550 + 30.8871i −0.166304 + 1.67019i
\(343\) 14.4097 11.6344i 0.778053 0.628199i
\(344\) 8.17891 14.1663i 0.440978 0.763795i
\(345\) 6.97184 + 8.96504i 0.375351 + 0.482661i
\(346\) −2.80922 + 12.3080i −0.151025 + 0.661682i
\(347\) 18.4270 23.1067i 0.989211 1.24043i 0.0185879 0.999827i \(-0.494083\pi\)
0.970623 0.240604i \(-0.0773456\pi\)
\(348\) 8.19776 + 14.6084i 0.439446 + 0.783094i
\(349\) 17.4447 + 5.38097i 0.933792 + 0.288037i 0.724072 0.689725i \(-0.242268\pi\)
0.209720 + 0.977761i \(0.432745\pi\)
\(350\) 10.4209 34.0267i 0.557020 1.81880i
\(351\) −9.68336 7.13571i −0.516860 0.380876i
\(352\) −0.648145 8.64889i −0.0345462 0.460988i
\(353\) 7.33655 6.80733i 0.390485 0.362317i −0.460361 0.887732i \(-0.652280\pi\)
0.850847 + 0.525414i \(0.176090\pi\)
\(354\) −6.93978 + 0.959409i −0.368845 + 0.0509920i
\(355\) −51.1647 + 7.71184i −2.71554 + 0.409302i
\(356\) −2.29785 1.56665i −0.121786 0.0830322i
\(357\) 1.82610 0.695259i 0.0966473 0.0367970i
\(358\) −27.9389 + 19.0484i −1.47662 + 1.00674i
\(359\) −9.76156 + 9.05740i −0.515195 + 0.478031i −0.894392 0.447285i \(-0.852391\pi\)
0.379196 + 0.925316i \(0.376201\pi\)
\(360\) −14.1596 7.25046i −0.746274 0.382133i
\(361\) −7.44745 + 12.8994i −0.391971 + 0.678913i
\(362\) 13.9483 0.733107
\(363\) 15.0461 + 2.45627i 0.789713 + 0.128921i
\(364\) 6.15123 + 3.53493i 0.322412 + 0.185281i
\(365\) −17.4472 2.62975i −0.913230 0.137647i
\(366\) −13.9105 + 9.23699i −0.727112 + 0.482825i
\(367\) 1.37099 + 18.2946i 0.0715652 + 0.954971i 0.911238 + 0.411879i \(0.135127\pi\)
−0.839673 + 0.543092i \(0.817253\pi\)
\(368\) −7.60236 + 5.18320i −0.396301 + 0.270193i
\(369\) −5.26391 5.12926i −0.274028 0.267019i
\(370\) 11.9880 15.0324i 0.623225 0.781499i
\(371\) −11.5771 + 24.1643i −0.601052 + 1.25455i
\(372\) −5.42887 14.3457i −0.281474 0.743789i
\(373\) 1.52516 2.64165i 0.0789696 0.136779i −0.823836 0.566828i \(-0.808170\pi\)
0.902806 + 0.430049i \(0.141504\pi\)
\(374\) −1.12349 −0.0580945
\(375\) 5.58208 + 14.7505i 0.288257 + 0.761714i
\(376\) 0.975327 + 4.27319i 0.0502986 + 0.220373i
\(377\) −17.4134 8.38585i −0.896835 0.431893i
\(378\) −22.4204 9.70875i −1.15318 0.499364i
\(379\) −4.35625 + 2.09786i −0.223765 + 0.107760i −0.542408 0.840115i \(-0.682487\pi\)
0.318643 + 0.947875i \(0.396773\pi\)
\(380\) 14.9068 + 18.6926i 0.764704 + 0.958909i
\(381\) −7.17336 + 0.991701i −0.367502 + 0.0508064i
\(382\) 6.58821 + 28.8648i 0.337082 + 1.47685i
\(383\) −9.31610 + 6.35161i −0.476030 + 0.324552i −0.777456 0.628938i \(-0.783490\pi\)
0.301425 + 0.953490i \(0.402538\pi\)
\(384\) 9.64440 16.2428i 0.492164 0.828888i
\(385\) 7.81070 11.5059i 0.398070 0.586394i
\(386\) 9.35373 + 40.9814i 0.476092 + 2.08590i
\(387\) 6.51670 + 32.1555i 0.331262 + 1.63455i
\(388\) 1.77427 + 4.52075i 0.0900747 + 0.229507i
\(389\) 27.4951 8.48111i 1.39406 0.430010i 0.495401 0.868664i \(-0.335021\pi\)
0.898656 + 0.438655i \(0.144545\pi\)
\(390\) −25.0238 + 3.45948i −1.26713 + 0.175178i
\(391\) 0.394309 + 0.682963i 0.0199410 + 0.0345389i
\(392\) −10.0173 3.04581i −0.505948 0.153837i
\(393\) 8.50189 7.69738i 0.428864 0.388282i
\(394\) −26.5676 + 12.7943i −1.33846 + 0.644567i
\(395\) 14.8593 + 13.7874i 0.747653 + 0.693720i
\(396\) 3.69010 + 3.59571i 0.185434 + 0.180691i
\(397\) 20.1547 6.21691i 1.01154 0.312018i 0.255684 0.966760i \(-0.417699\pi\)
0.755852 + 0.654743i \(0.227223\pi\)
\(398\) 31.0680 + 9.58322i 1.55730 + 0.480363i
\(399\) −17.9460 19.7417i −0.898424 0.988320i
\(400\) −35.9796 + 11.0982i −1.79898 + 0.554912i
\(401\) 5.62192 3.83296i 0.280745 0.191409i −0.414758 0.909932i \(-0.636134\pi\)
0.695503 + 0.718523i \(0.255181\pi\)
\(402\) −1.23246 + 14.1267i −0.0614694 + 0.704578i
\(403\) 14.6222 + 9.96925i 0.728384 + 0.496603i
\(404\) 5.48510 13.9758i 0.272894 0.695323i
\(405\) 30.9125 7.90341i 1.53605 0.392723i
\(406\) −38.2908 8.65858i −1.90034 0.429718i
\(407\) 3.73834 2.54876i 0.185303 0.126337i
\(408\) −0.905024 0.633376i −0.0448054 0.0313568i
\(409\) 0.323327 + 0.405439i 0.0159875 + 0.0200477i 0.789761 0.613415i \(-0.210205\pi\)
−0.773773 + 0.633462i \(0.781633\pi\)
\(410\) −15.4355 −0.762305
\(411\) 4.56866 + 21.2082i 0.225355 + 1.04613i
\(412\) −15.0369 + 2.26644i −0.740813 + 0.111660i
\(413\) 3.38208 4.98212i 0.166421 0.245154i
\(414\) 2.42855 9.55702i 0.119357 0.469702i
\(415\) 33.8296 + 5.09899i 1.66063 + 0.250300i
\(416\) −1.01198 13.5040i −0.0496166 0.662087i
\(417\) 6.03334 25.0201i 0.295454 1.22524i
\(418\) 5.60437 + 14.2797i 0.274119 + 0.698443i
\(419\) −0.502078 0.0756761i −0.0245281 0.00369702i 0.136767 0.990603i \(-0.456329\pi\)
−0.161295 + 0.986906i \(0.551567\pi\)
\(420\) −17.5875 + 6.69616i −0.858181 + 0.326739i
\(421\) −21.6116 + 3.25743i −1.05329 + 0.158757i −0.652788 0.757540i \(-0.726401\pi\)
−0.400498 + 0.916298i \(0.631163\pi\)
\(422\) −12.9590 22.4457i −0.630835 1.09264i
\(423\) −7.14042 5.12833i −0.347179 0.249348i
\(424\) 14.9786 2.25765i 0.727423 0.109641i
\(425\) 0.718103 + 3.14621i 0.0348331 + 0.152614i
\(426\) 32.5573 + 30.9579i 1.57741 + 1.49991i
\(427\) 2.11053 14.1963i 0.102136 0.687005i
\(428\) −0.994859 0.678283i −0.0480883 0.0327861i
\(429\) −5.86692 0.957774i −0.283258 0.0462417i
\(430\) 56.9314 + 38.8152i 2.74548 + 1.87183i
\(431\) 20.9641 + 6.46656i 1.00980 + 0.311483i 0.755152 0.655549i \(-0.227563\pi\)
0.254652 + 0.967033i \(0.418039\pi\)
\(432\) 4.82448 + 25.3962i 0.232118 + 1.22188i
\(433\) 2.11210 9.25372i 0.101501 0.444706i −0.898483 0.439009i \(-0.855330\pi\)
0.999984 0.00569648i \(-0.00181326\pi\)
\(434\) 33.4880 + 13.0654i 1.60748 + 0.627158i
\(435\) 46.4590 21.6780i 2.22754 1.03938i
\(436\) −15.4373 14.3237i −0.739314 0.685983i
\(437\) 6.71357 8.41855i 0.321154 0.402714i
\(438\) 7.49722 + 13.3601i 0.358231 + 0.638368i
\(439\) 30.0088 14.4515i 1.43224 0.689732i 0.452829 0.891597i \(-0.350415\pi\)
0.979413 + 0.201866i \(0.0647004\pi\)
\(440\) −7.86181 −0.374797
\(441\) 19.1025 8.72333i 0.909640 0.415396i
\(442\) −1.75417 −0.0834374
\(443\) 8.58109 4.13244i 0.407700 0.196338i −0.218782 0.975774i \(-0.570208\pi\)
0.626482 + 0.779436i \(0.284494\pi\)
\(444\) −6.12238 0.0748357i −0.290555 0.00355154i
\(445\) −5.30687 + 6.65460i −0.251570 + 0.315458i
\(446\) 27.0370 + 25.0867i 1.28024 + 1.18789i
\(447\) 20.5115 + 14.3548i 0.970159 + 0.678960i
\(448\) −0.350440 1.12803i −0.0165567 0.0532946i
\(449\) −1.41186 + 6.18578i −0.0666299 + 0.291925i −0.997254 0.0740505i \(-0.976407\pi\)
0.930625 + 0.365975i \(0.119265\pi\)
\(450\) 21.0239 34.4418i 0.991075 1.62360i
\(451\) −3.47090 1.07063i −0.163438 0.0504140i
\(452\) 12.8043 + 8.72983i 0.602264 + 0.410617i
\(453\) 4.49938 5.50271i 0.211400 0.258540i
\(454\) 20.7242 + 14.1295i 0.972636 + 0.663132i
\(455\) 12.1953 17.9647i 0.571723 0.842200i
\(456\) −3.53569 + 14.6624i −0.165574 + 0.686632i
\(457\) −2.57908 11.2997i −0.120644 0.528576i −0.998744 0.0500994i \(-0.984046\pi\)
0.878100 0.478477i \(-0.158811\pi\)
\(458\) 13.4303 2.02429i 0.627555 0.0945887i
\(459\) 2.20148 0.249679i 0.102757 0.0116540i
\(460\) −3.79766 6.57774i −0.177067 0.306689i
\(461\) −2.61855 + 0.394682i −0.121958 + 0.0183822i −0.209738 0.977758i \(-0.567261\pi\)
0.0877797 + 0.996140i \(0.472023\pi\)
\(462\) −12.0494 + 0.779349i −0.560588 + 0.0362586i
\(463\) 30.4172 + 4.58465i 1.41361 + 0.213067i 0.811035 0.584998i \(-0.198905\pi\)
0.602571 + 0.798065i \(0.294143\pi\)
\(464\) 15.1749 + 38.6651i 0.704479 + 1.79498i
\(465\) −45.0239 + 13.2876i −2.08793 + 0.616197i
\(466\) 3.36716 + 44.9317i 0.155981 + 2.08142i
\(467\) −32.5918 4.91242i −1.50817 0.227320i −0.657673 0.753304i \(-0.728459\pi\)
−0.850495 + 0.525984i \(0.823697\pi\)
\(468\) 5.76155 + 5.61417i 0.266328 + 0.259515i
\(469\) −8.30816 8.91800i −0.383635 0.411795i
\(470\) −18.2567 + 2.75175i −0.842118 + 0.126929i
\(471\) 39.6872 + 12.7752i 1.82869 + 0.588648i
\(472\) −3.40421 −0.156692
\(473\) 10.1096 + 12.6770i 0.464839 + 0.582889i
\(474\) 1.52967 17.5335i 0.0702602 0.805341i
\(475\) 36.4065 24.8215i 1.67045 1.13889i
\(476\) −1.27344 + 0.293352i −0.0583680 + 0.0134458i
\(477\) −19.5179 + 23.2836i −0.893662 + 1.06608i
\(478\) 3.81397 9.71785i 0.174447 0.444484i
\(479\) −3.97056 2.70708i −0.181419 0.123690i 0.469205 0.883089i \(-0.344540\pi\)
−0.650625 + 0.759400i \(0.725493\pi\)
\(480\) 29.4298 + 20.5963i 1.34328 + 0.940086i
\(481\) 5.83688 3.97952i 0.266139 0.181450i
\(482\) 0.774311 0.238843i 0.0352689 0.0108790i
\(483\) 4.70269 + 7.05119i 0.213980 + 0.320840i
\(484\) −9.74283 3.00527i −0.442856 0.136603i
\(485\) 14.2029 4.38101i 0.644920 0.198931i
\(486\) −21.8938 16.9748i −0.993125 0.769993i
\(487\) −4.24601 3.93972i −0.192405 0.178526i 0.578087 0.815975i \(-0.303799\pi\)
−0.770493 + 0.637449i \(0.779990\pi\)
\(488\) −7.31027 + 3.52044i −0.330921 + 0.159363i
\(489\) 7.83952 + 36.3919i 0.354515 + 1.64570i
\(490\) 15.9473 41.1191i 0.720428 1.85757i
\(491\) 12.1877 + 21.1097i 0.550024 + 0.952670i 0.998272 + 0.0587604i \(0.0187148\pi\)
−0.448248 + 0.893909i \(0.647952\pi\)
\(492\) 3.01749 + 3.88017i 0.136039 + 0.174931i
\(493\) 3.40185 1.04933i 0.153212 0.0472595i
\(494\) 8.75041 + 22.2957i 0.393699 + 1.00313i
\(495\) 11.8179 10.4396i 0.531174 0.469225i
\(496\) −8.46317 37.0795i −0.380007 1.66492i
\(497\) −38.5012 + 2.96320i −1.72702 + 0.132918i
\(498\) −14.5369 25.9047i −0.651413 1.16082i
\(499\) −29.6467 + 20.2128i −1.32717 + 0.904849i −0.999206 0.0398412i \(-0.987315\pi\)
−0.327964 + 0.944690i \(0.606362\pi\)
\(500\) −2.34709 10.2833i −0.104965 0.459881i
\(501\) 8.37857 + 10.7740i 0.374327 + 0.481345i
\(502\) −7.78391 9.76071i −0.347413 0.435642i
\(503\) −34.9332 + 16.8229i −1.55759 + 0.750098i −0.996956 0.0779624i \(-0.975159\pi\)
−0.560639 + 0.828061i \(0.689444\pi\)
\(504\) −10.1457 6.16510i −0.451924 0.274616i
\(505\) −41.3989 19.9367i −1.84223 0.887170i
\(506\) −1.08440 4.75107i −0.0482075 0.211211i
\(507\) 13.0622 + 2.13239i 0.580110 + 0.0947029i
\(508\) 4.84307 0.214877
\(509\) 4.88064 8.45351i 0.216330 0.374695i −0.737353 0.675508i \(-0.763924\pi\)
0.953683 + 0.300812i \(0.0972578\pi\)
\(510\) 2.94541 3.60221i 0.130425 0.159508i
\(511\) −12.8435 2.90427i −0.568164 0.128477i
\(512\) −8.86631 + 11.1180i −0.391839 + 0.491351i
\(513\) −14.1552 26.7356i −0.624968 1.18041i
\(514\) −23.5754 + 16.0734i −1.03987 + 0.708969i
\(515\) 3.47795 + 46.4100i 0.153257 + 2.04507i
\(516\) −1.37219 21.8994i −0.0604074 0.964066i
\(517\) −4.29615 0.647540i −0.188944 0.0284788i
\(518\) 9.73868 10.5383i 0.427893 0.463024i
\(519\) −4.35481 11.5075i −0.191155 0.505123i
\(520\) −12.2751 −0.538297
\(521\) 15.0238 26.0219i 0.658203 1.14004i −0.322878 0.946441i \(-0.604650\pi\)
0.981081 0.193600i \(-0.0620164\pi\)
\(522\) −39.6215 20.2884i −1.73419 0.887998i
\(523\) −14.1028 + 13.0854i −0.616670 + 0.572186i −0.925413 0.378959i \(-0.876282\pi\)
0.308743 + 0.951145i \(0.400092\pi\)
\(524\) −6.33736 + 4.32074i −0.276849 + 0.188752i
\(525\) 9.88407 + 33.2447i 0.431376 + 1.45092i
\(526\) 15.4620 + 10.5418i 0.674175 + 0.459645i
\(527\) −3.22335 + 0.485841i −0.140411 + 0.0211636i
\(528\) 7.84269 + 10.0849i 0.341309 + 0.438887i
\(529\) 14.3526 13.3173i 0.624028 0.579013i
\(530\) 4.76831 + 63.6286i 0.207122 + 2.76385i
\(531\) 5.11721 4.52041i 0.222068 0.196169i
\(532\) 10.0809 + 14.7222i 0.437062 + 0.638288i
\(533\) −5.41930 1.67163i −0.234736 0.0724064i
\(534\) 7.38972 + 0.0903268i 0.319784 + 0.00390882i
\(535\) −2.29762 + 2.88112i −0.0993347 + 0.124562i
\(536\) −1.53327 + 6.71770i −0.0662272 + 0.290161i
\(537\) 12.4142 30.5283i 0.535711 1.31739i
\(538\) 23.9814 41.5370i 1.03391 1.79079i
\(539\) 6.43808 8.14009i 0.277308 0.350619i
\(540\) −21.2029 + 2.40471i −0.912428 + 0.103482i
\(541\) −11.0477 7.53221i −0.474979 0.323835i 0.302059 0.953289i \(-0.402326\pi\)
−0.777038 + 0.629454i \(0.783279\pi\)
\(542\) 10.5401 3.25119i 0.452736 0.139651i
\(543\) −11.3247 + 7.51998i −0.485991 + 0.322713i
\(544\) 1.82848 + 1.69658i 0.0783955 + 0.0727404i
\(545\) −47.2460 + 43.8378i −2.02379 + 1.87781i
\(546\) −18.8133 + 1.21684i −0.805136 + 0.0520759i
\(547\) −4.82672 4.47854i −0.206376 0.191489i 0.570213 0.821497i \(-0.306861\pi\)
−0.776588 + 0.630009i \(0.783051\pi\)
\(548\) −1.08427 14.4686i −0.0463177 0.618067i
\(549\) 6.31406 14.9992i 0.269477 0.640148i
\(550\) 1.49026 19.8862i 0.0635451 0.847950i
\(551\) −30.3067 38.0034i −1.29111 1.61900i
\(552\) 1.80491 4.43853i 0.0768220 0.188917i
\(553\) 10.3117 + 11.0686i 0.438499 + 0.470686i
\(554\) 2.04305 + 27.2625i 0.0868007 + 1.15827i
\(555\) −1.62865 + 18.6680i −0.0691325 + 0.792414i
\(556\) −6.28852 + 16.0229i −0.266693 + 0.679522i
\(557\) 16.4886 28.5592i 0.698646 1.21009i −0.270290 0.962779i \(-0.587120\pi\)
0.968936 0.247311i \(-0.0795471\pi\)
\(558\) 33.1058 + 23.7770i 1.40148 + 1.00656i
\(559\) 15.7846 + 19.7933i 0.667618 + 0.837167i
\(560\) −45.4724 + 10.4751i −1.92156 + 0.442654i
\(561\) 0.912172 0.605711i 0.0385120 0.0255731i
\(562\) −12.2169 31.1283i −0.515341 1.31307i
\(563\) −8.74929 4.21344i −0.368739 0.177575i 0.240333 0.970691i \(-0.422743\pi\)
−0.609071 + 0.793115i \(0.708458\pi\)
\(564\) 4.26074 + 4.05142i 0.179409 + 0.170595i
\(565\) 29.5714 37.0814i 1.24408 1.56003i
\(566\) 19.4191 24.3508i 0.816246 1.02354i
\(567\) 23.4375 4.20493i 0.984284 0.176590i
\(568\) 13.6110 + 17.0676i 0.571104 + 0.716141i
\(569\) −32.9722 −1.38226 −0.691132 0.722728i \(-0.742888\pi\)
−0.691132 + 0.722728i \(0.742888\pi\)
\(570\) −60.4771 19.4673i −2.53311 0.815397i
\(571\) −10.6548 13.3607i −0.445888 0.559126i 0.507196 0.861831i \(-0.330682\pi\)
−0.953084 + 0.302705i \(0.902110\pi\)
\(572\) 3.79903 + 1.17185i 0.158845 + 0.0489973i
\(573\) −20.9110 19.8836i −0.873568 0.830651i
\(574\) −11.4889 0.837724i −0.479536 0.0349659i
\(575\) −12.6117 + 6.07347i −0.525944 + 0.253281i
\(576\) −0.0674148 1.33767i −0.00280895 0.0557364i
\(577\) −1.20808 + 16.1207i −0.0502930 + 0.671113i 0.913905 + 0.405929i \(0.133052\pi\)
−0.964198 + 0.265184i \(0.914567\pi\)
\(578\) −21.9102 + 20.3297i −0.911343 + 0.845602i
\(579\) −29.6887 28.2302i −1.23382 1.17321i
\(580\) −32.7639 + 10.1063i −1.36044 + 0.419642i
\(581\) 24.9032 + 5.63128i 1.03316 + 0.233625i
\(582\) −10.5731 7.39953i −0.438270 0.306721i
\(583\) −3.34116 + 14.6386i −0.138377 + 0.606267i
\(584\) 2.71966 + 6.92957i 0.112540 + 0.286748i
\(585\) 18.4519 16.2999i 0.762891 0.673918i
\(586\) 1.35485 + 0.923724i 0.0559685 + 0.0381587i
\(587\) −5.58442 + 9.67249i −0.230494 + 0.399227i −0.957953 0.286924i \(-0.907367\pi\)
0.727460 + 0.686150i \(0.240701\pi\)
\(588\) −13.4540 + 4.02954i −0.554835 + 0.166175i
\(589\) 22.2543 + 38.5455i 0.916971 + 1.58824i
\(590\) 1.07160 14.2995i 0.0441171 0.588701i
\(591\) 14.6726 24.7112i 0.603551 1.01648i
\(592\) −15.0125 2.26276i −0.617008 0.0929991i
\(593\) 14.2093 4.38300i 0.583508 0.179988i 0.0110731 0.999939i \(-0.496475\pi\)
0.572435 + 0.819950i \(0.305999\pi\)
\(594\) −13.4544 2.53552i −0.552042 0.104034i
\(595\) 0.604043 + 3.95356i 0.0247633 + 0.162080i
\(596\) −12.2738 11.3885i −0.502756 0.466489i
\(597\) −30.3910 + 8.96908i −1.24382 + 0.367080i
\(598\) −1.69313 7.41810i −0.0692373 0.303348i
\(599\) 2.75615 1.32729i 0.112613 0.0542317i −0.376729 0.926324i \(-0.622951\pi\)
0.489342 + 0.872092i \(0.337237\pi\)
\(600\) 12.4114 15.1791i 0.506695 0.619683i
\(601\) −0.943754 + 12.5935i −0.0384965 + 0.513700i 0.944309 + 0.329059i \(0.106731\pi\)
−0.982806 + 0.184641i \(0.940888\pi\)
\(602\) 40.2683 + 31.9805i 1.64121 + 1.30343i
\(603\) −6.61554 12.1341i −0.269405 0.494137i
\(604\) −3.48475 + 3.23338i −0.141793 + 0.131564i
\(605\) −11.4002 + 29.0472i −0.463484 + 1.18094i
\(606\) 8.40166 + 39.0014i 0.341294 + 1.58433i
\(607\) −6.78511 + 11.7522i −0.275399 + 0.477005i −0.970236 0.242162i \(-0.922143\pi\)
0.694837 + 0.719168i \(0.255477\pi\)
\(608\) 12.4426 31.7033i 0.504616 1.28574i
\(609\) 35.7567 13.6138i 1.44893 0.551659i
\(610\) −12.4866 31.8152i −0.505566 1.28816i
\(611\) −6.70781 1.01104i −0.271369 0.0409023i
\(612\) −1.48132 0.0362186i −0.0598788 0.00146405i
\(613\) −2.05485 + 1.40097i −0.0829945 + 0.0565847i −0.604106 0.796904i \(-0.706470\pi\)
0.521112 + 0.853488i \(0.325517\pi\)
\(614\) −28.2161 + 35.3819i −1.13871 + 1.42790i
\(615\) 12.5322 8.32176i 0.505347 0.335566i
\(616\) −5.85166 0.426681i −0.235770 0.0171914i
\(617\) 3.15710 8.04415i 0.127100 0.323845i −0.853133 0.521694i \(-0.825300\pi\)
0.980233 + 0.197849i \(0.0633955\pi\)
\(618\) 29.9557 27.1211i 1.20499 1.09097i
\(619\) −18.9833 32.8800i −0.763002 1.32156i −0.941297 0.337581i \(-0.890391\pi\)
0.178295 0.983977i \(-0.442942\pi\)
\(620\) 31.0446 4.67923i 1.24678 0.187922i
\(621\) 3.18073 + 9.06872i 0.127638 + 0.363915i
\(622\) 8.29167 + 3.99306i 0.332466 + 0.160107i
\(623\) −4.31114 + 4.66510i −0.172722 + 0.186903i
\(624\) 12.2452 + 15.7460i 0.490201 + 0.630346i
\(625\) 5.49879 0.828809i 0.219952 0.0331524i
\(626\) 29.0856 14.0069i 1.16249 0.559828i
\(627\) −12.2489 8.57230i −0.489173 0.342345i
\(628\) −25.1222 12.0982i −1.00248 0.482771i
\(629\) −0.289550 + 1.26860i −0.0115451 + 0.0505825i
\(630\) 29.0904 40.6766i 1.15899 1.62059i
\(631\) −4.38605 19.2165i −0.174606 0.764998i −0.984063 0.177819i \(-0.943096\pi\)
0.809457 0.587179i \(-0.199761\pi\)
\(632\) 1.90303 8.33772i 0.0756985 0.331657i
\(633\) 22.6227 + 11.2372i 0.899171 + 0.446638i
\(634\) 3.32453 14.5657i 0.132034 0.578479i
\(635\) 1.10767 14.7808i 0.0439564 0.586558i
\(636\) 15.0628 13.6374i 0.597278 0.540759i
\(637\) 10.0521 12.7096i 0.398279 0.503571i
\(638\) −21.9990 −0.870950
\(639\) −43.1239 7.58221i −1.70595 0.299948i
\(640\) 28.3435 + 26.2989i 1.12038 + 1.03956i
\(641\) −6.47039 0.975254i −0.255565 0.0385202i 0.0200101 0.999800i \(-0.493630\pi\)
−0.275575 + 0.961280i \(0.588868\pi\)
\(642\) 3.19939 + 0.0391071i 0.126270 + 0.00154344i
\(643\) 18.8955 17.5325i 0.745168 0.691415i −0.213182 0.977013i \(-0.568383\pi\)
0.958350 + 0.285598i \(0.0921922\pi\)
\(644\) −2.46966 5.10202i −0.0973184 0.201048i
\(645\) −67.1495 0.820788i −2.64401 0.0323185i
\(646\) −3.97482 1.91417i −0.156387 0.0753121i
\(647\) −6.45086 1.98983i −0.253610 0.0782282i 0.165344 0.986236i \(-0.447127\pi\)
−0.418953 + 0.908008i \(0.637603\pi\)
\(648\) −9.40873 9.62748i −0.369610 0.378203i
\(649\) 1.23280 3.14112i 0.0483917 0.123300i
\(650\) 2.32683 31.0494i 0.0912658 1.21786i
\(651\) −34.2331 + 7.44659i −1.34170 + 0.291855i
\(652\) −1.86053 24.8271i −0.0728642 0.972305i
\(653\) −6.29836 1.94279i −0.246474 0.0760271i 0.169057 0.985606i \(-0.445928\pi\)
−0.415531 + 0.909579i \(0.636404\pi\)
\(654\) 55.2294 + 9.01619i 2.15964 + 0.352561i
\(655\) 11.7372 + 20.3295i 0.458612 + 0.794339i
\(656\) 6.09402 + 10.5552i 0.237932 + 0.412110i
\(657\) −13.2899 6.80514i −0.518488 0.265494i
\(658\) −13.7381 + 1.05733i −0.535566 + 0.0412191i
\(659\) −15.2163 38.7705i −0.592743 1.51028i −0.840694 0.541511i \(-0.817853\pi\)
0.247951 0.968772i \(-0.420243\pi\)
\(660\) −8.78530 + 5.83371i −0.341967 + 0.227077i
\(661\) −27.2223 13.1096i −1.05883 0.509904i −0.178337 0.983970i \(-0.557072\pi\)
−0.880489 + 0.474066i \(0.842786\pi\)
\(662\) −15.5625 7.49449i −0.604853 0.291282i
\(663\) 1.42422 0.945729i 0.0553123 0.0367291i
\(664\) −5.27333 13.4362i −0.204645 0.521426i
\(665\) 47.2369 27.3992i 1.83177 1.06249i
\(666\) 13.6632 8.83409i 0.529439 0.342314i
\(667\) 7.72093 + 13.3730i 0.298956 + 0.517806i
\(668\) −4.56393 7.90495i −0.176584 0.305852i
\(669\) −35.4766 5.79155i −1.37160 0.223914i
\(670\) −27.7353 8.55520i −1.07151 0.330516i
\(671\) −0.601032 8.02021i −0.0232026 0.309617i
\(672\) 20.7872 + 16.9273i 0.801884 + 0.652986i
\(673\) −2.39651 + 31.9793i −0.0923788 + 1.23271i 0.737725 + 0.675101i \(0.235900\pi\)
−0.830104 + 0.557609i \(0.811719\pi\)
\(674\) −9.25584 + 23.5835i −0.356522 + 0.908403i
\(675\) 1.49924 + 39.2982i 0.0577056 + 1.51259i
\(676\) −8.45818 2.60900i −0.325315 0.100346i
\(677\) 21.3983 + 10.3049i 0.822404 + 0.396049i 0.797261 0.603635i \(-0.206282\pi\)
0.0251429 + 0.999684i \(0.491996\pi\)
\(678\) −41.1777 0.503328i −1.58142 0.0193302i
\(679\) 10.8092 2.49002i 0.414819 0.0955584i
\(680\) 1.65743 1.53787i 0.0635597 0.0589748i
\(681\) −24.4438 0.298784i −0.936690 0.0114494i
\(682\) 19.9186 + 3.00225i 0.762724 + 0.114962i
\(683\) 31.9614 + 29.6558i 1.22297 + 1.13475i 0.986613 + 0.163081i \(0.0521432\pi\)
0.236355 + 0.971667i \(0.424047\pi\)
\(684\) 6.92899 + 19.0084i 0.264936 + 0.726803i
\(685\) −44.4053 −1.69664
\(686\) 14.1015 29.7400i 0.538397 1.13548i
\(687\) −9.81277 + 8.88421i −0.374381 + 0.338954i
\(688\) 4.06589 54.2555i 0.155010 2.06847i
\(689\) −5.21673 + 22.8560i −0.198742 + 0.870744i
\(690\) 18.0760 + 8.97877i 0.688143 + 0.341816i
\(691\) 5.24958 22.9999i 0.199703 0.874958i −0.771410 0.636339i \(-0.780448\pi\)
0.971113 0.238619i \(-0.0766948\pi\)
\(692\) 1.83106 + 8.02239i 0.0696064 + 0.304966i
\(693\) 9.36280 7.12896i 0.355663 0.270807i
\(694\) 11.6876 51.2069i 0.443657 1.94379i
\(695\) 47.4627 + 22.8568i 1.80036 + 0.867009i
\(696\) −17.7212 12.4021i −0.671721 0.470100i
\(697\) 0.941168 0.453243i 0.0356493 0.0171678i
\(698\) 32.0814 4.83549i 1.21430 0.183026i
\(699\) −26.9579 34.6650i −1.01964 1.31115i
\(700\) −3.50326 22.9294i −0.132411 0.866650i
\(701\) 2.29032 + 1.10296i 0.0865044 + 0.0416583i 0.476636 0.879101i \(-0.341856\pi\)
−0.390131 + 0.920759i \(0.627570\pi\)
\(702\) −21.0071 3.95884i −0.792863 0.149417i
\(703\) 17.5684 2.64802i 0.662606 0.0998718i
\(704\) −0.330963 0.573245i −0.0124736 0.0216050i
\(705\) 13.3392 12.0769i 0.502382 0.454843i
\(706\) 6.49812 16.5569i 0.244560 0.623128i
\(707\) −29.7318 17.0860i −1.11818 0.642585i
\(708\) −3.80409 + 2.52603i −0.142966 + 0.0949342i
\(709\) 19.0827 23.9290i 0.716666 0.898671i −0.281478 0.959568i \(-0.590825\pi\)
0.998144 + 0.0608968i \(0.0193961\pi\)
\(710\) −75.9776 + 51.8007i −2.85139 + 1.94404i
\(711\) 8.21092 + 15.0603i 0.307933 + 0.564804i
\(712\) 3.55093 + 0.535216i 0.133077 + 0.0200581i
\(713\) −5.16573 13.1621i −0.193458 0.492923i
\(714\) 2.38781 2.52132i 0.0893616 0.0943581i
\(715\) 4.44529 11.3264i 0.166244 0.423584i
\(716\) −11.0202 + 19.0876i −0.411844 + 0.713335i
\(717\) 2.14261 + 9.94622i 0.0800171 + 0.371449i
\(718\) −8.64598 + 22.0296i −0.322665 + 0.822138i
\(719\) 9.67987 8.98160i 0.360998 0.334957i −0.478732 0.877961i \(-0.658904\pi\)
0.839730 + 0.543004i \(0.182713\pi\)
\(720\) −52.8954 1.29331i −1.97130 0.0481987i
\(721\) 0.0698991 + 34.7324i 0.00260318 + 1.29350i
\(722\) −1.97817 + 26.3969i −0.0736200 + 0.982391i
\(723\) −0.499901 + 0.611375i −0.0185915 + 0.0227373i
\(724\) 8.19120 3.94468i 0.304424 0.146603i
\(725\) 14.0611 + 61.6058i 0.522217 + 2.28798i
\(726\) 25.9855 7.66893i 0.964413 0.284621i
\(727\) −30.3546 28.1650i −1.12579 1.04458i −0.998610 0.0527014i \(-0.983217\pi\)
−0.127180 0.991880i \(-0.540593\pi\)
\(728\) −9.13651 0.666199i −0.338622 0.0246910i
\(729\) 26.9274 + 1.97830i 0.997312 + 0.0732704i
\(730\) −29.9640 + 9.24268i −1.10902 + 0.342087i
\(731\) −4.61110 0.695012i −0.170548 0.0257060i
\(732\) −5.55670 + 9.35843i −0.205382 + 0.345898i
\(733\) −1.29498 + 17.2804i −0.0478313 + 0.638265i 0.920844 + 0.389932i \(0.127502\pi\)
−0.968675 + 0.248332i \(0.920117\pi\)
\(734\) 16.3020 + 28.2359i 0.601718 + 1.04221i
\(735\) 9.22083 + 41.9826i 0.340115 + 1.54855i
\(736\) −5.40971 + 9.36989i −0.199405 + 0.345379i
\(737\) −5.64328 3.84752i −0.207873 0.141725i
\(738\) −12.3836 4.15395i −0.455847 0.152909i
\(739\) 12.5965 + 32.0953i 0.463368 + 1.18064i 0.951438 + 0.307839i \(0.0996059\pi\)
−0.488070 + 0.872805i \(0.662299\pi\)
\(740\) 2.78871 12.2181i 0.102515 0.449148i
\(741\) −19.1248 13.3844i −0.702568 0.491688i
\(742\) 0.0958324 + 47.6185i 0.00351812 + 1.74813i
\(743\) 33.6125 10.3681i 1.23312 0.380368i 0.391371 0.920233i \(-0.372001\pi\)
0.841752 + 0.539865i \(0.181525\pi\)
\(744\) 14.3528 + 13.6477i 0.526200 + 0.500349i
\(745\) −37.5641 + 34.8544i −1.37624 + 1.27697i
\(746\) 0.405109 5.40580i 0.0148321 0.197920i
\(747\) 25.7686 + 13.1949i 0.942825 + 0.482778i
\(748\) −0.659776 + 0.317732i −0.0241238 + 0.0116174i
\(749\) −1.86652 + 2.01976i −0.0682011 + 0.0738006i
\(750\) 20.3119 + 19.3140i 0.741687 + 0.705249i
\(751\) −16.6334 5.13074i −0.606963 0.187223i −0.0239863 0.999712i \(-0.507636\pi\)
−0.582976 + 0.812489i \(0.698112\pi\)
\(752\) 9.08956 + 11.3979i 0.331462 + 0.415640i
\(753\) 11.5821 + 3.72824i 0.422076 + 0.135865i
\(754\) −34.3483 −1.25089
\(755\) 9.07109 + 11.3748i 0.330131 + 0.413971i
\(756\) −15.9122 + 0.639125i −0.578719 + 0.0232447i
\(757\) −19.1184 + 23.9737i −0.694871 + 0.871340i −0.996629 0.0820444i \(-0.973855\pi\)
0.301758 + 0.953385i \(0.402426\pi\)
\(758\) −5.35752 + 6.71811i −0.194594 + 0.244013i
\(759\) 3.44188 + 3.27279i 0.124932 + 0.118795i
\(760\) −27.8144 13.3947i −1.00893 0.485877i
\(761\) −10.4955 26.7420i −0.380460 0.969396i −0.984959 0.172790i \(-0.944722\pi\)
0.604499 0.796606i \(-0.293374\pi\)
\(762\) −10.7212 + 7.11920i −0.388387 + 0.257901i
\(763\) −37.5451 + 30.0650i −1.35922 + 1.08843i
\(764\) 12.0321 + 15.0878i 0.435307 + 0.545857i
\(765\) −0.449332 + 4.51262i −0.0162456 + 0.163154i
\(766\) −10.0191 + 17.3536i −0.362006 + 0.627013i
\(767\) 1.92484 4.90441i 0.0695019 0.177088i
\(768\) 3.05221 34.9852i 0.110137 1.26242i
\(769\) −3.31870 44.2850i −0.119676 1.59696i −0.657204 0.753713i \(-0.728261\pi\)
0.537528 0.843246i \(-0.319358\pi\)
\(770\) 3.63431 24.4458i 0.130971 0.880965i
\(771\)