Properties

Label 552.2.bb.a.85.17
Level $552$
Weight $2$
Character 552.85
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 85.17
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.682311 - 1.23873i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.06890 + 1.69040i) q^{4} +(-3.63898 + 1.66187i) q^{5} +(-0.673201 + 1.24370i) q^{6} +(-2.20249 + 0.646708i) q^{7} +(2.82327 + 0.170707i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.682311 - 1.23873i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.06890 + 1.69040i) q^{4} +(-3.63898 + 1.66187i) q^{5} +(-0.673201 + 1.24370i) q^{6} +(-2.20249 + 0.646708i) q^{7} +(2.82327 + 0.170707i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(4.54152 + 3.37381i) q^{10} +(3.86000 - 3.34471i) q^{11} +(1.99995 - 0.0146786i) q^{12} +(-0.959628 + 3.26819i) q^{13} +(2.30388 + 2.28703i) q^{14} +(3.36543 + 2.16283i) q^{15} +(-1.71489 - 3.61375i) q^{16} +(0.278072 - 1.93403i) q^{17} +(1.41023 - 0.106065i) q^{18} +(-0.154768 + 0.0222523i) q^{19} +(1.08051 - 7.92770i) q^{20} +(1.73480 + 1.50321i) q^{21} +(-6.77692 - 2.49937i) q^{22} +(0.605610 - 4.75744i) q^{23} +(-1.38277 - 2.46738i) q^{24} +(7.20608 - 8.31626i) q^{25} +(4.70317 - 1.04120i) q^{26} +(0.989821 - 0.142315i) q^{27} +(1.26105 - 4.41435i) q^{28} +(6.53264 + 0.939252i) q^{29} +(0.382894 - 5.64459i) q^{30} +(2.58486 + 1.66119i) q^{31} +(-3.30637 + 4.58998i) q^{32} +(-4.90063 - 1.43895i) q^{33} +(-2.58548 + 0.975156i) q^{34} +(6.94006 - 6.01360i) q^{35} +(-1.09360 - 1.67453i) q^{36} +(-3.20852 - 1.46528i) q^{37} +(0.133165 + 0.176533i) q^{38} +(3.26819 - 0.959628i) q^{39} +(-10.5575 + 4.07070i) q^{40} +(-0.499642 - 1.09406i) q^{41} +(0.678402 - 3.17461i) q^{42} +(6.20972 + 9.66251i) q^{43} +(1.52792 + 10.1001i) q^{44} -4.00050i q^{45} +(-6.30640 + 2.49587i) q^{46} +4.85536 q^{47} +(-2.11294 + 3.39639i) q^{48} +(-1.45606 + 0.935755i) q^{49} +(-15.2184 - 3.25212i) q^{50} +(-1.77735 + 0.811688i) q^{51} +(-4.49880 - 5.11554i) q^{52} +(-0.766395 - 2.61010i) q^{53} +(-0.851655 - 1.12902i) q^{54} +(-8.48802 + 18.5862i) q^{55} +(-6.32861 + 1.44985i) q^{56} +(0.102394 + 0.118169i) q^{57} +(-3.29381 - 8.73304i) q^{58} +(-0.0453772 + 0.154540i) q^{59} +(-7.25337 + 3.37706i) q^{60} +(8.37851 - 13.0372i) q^{61} +(0.294087 - 4.33539i) q^{62} +(0.326679 - 2.27210i) q^{63} +(7.94172 + 0.963905i) q^{64} +(-1.93923 - 13.4877i) q^{65} +(1.56128 + 7.05237i) q^{66} +(5.36000 + 4.64447i) q^{67} +(2.97205 + 2.53735i) q^{68} +(-4.32963 + 2.06259i) q^{69} +(-12.1845 - 4.49372i) q^{70} +(7.52390 - 8.68304i) q^{71} +(-1.32811 + 2.49722i) q^{72} +(1.97790 + 13.7566i) q^{73} +(0.374119 + 4.97427i) q^{74} +(-10.8920 - 1.56603i) q^{75} +(0.127817 - 0.285405i) q^{76} +(-6.33855 + 9.86298i) q^{77} +(-3.41864 - 3.39365i) q^{78} +(1.49751 + 0.439708i) q^{79} +(12.2460 + 10.3004i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-1.01434 + 1.36541i) q^{82} +(2.31069 + 1.05526i) q^{83} +(-4.39536 + 1.32571i) q^{84} +(2.20221 + 7.50003i) q^{85} +(7.73228 - 14.2850i) q^{86} +(-2.74166 - 6.00341i) q^{87} +(11.4688 - 8.78410i) q^{88} +(2.54000 - 1.63236i) q^{89} +(-4.95554 + 2.72958i) q^{90} -7.81875i q^{91} +(7.39463 + 6.10897i) q^{92} -3.07263i q^{93} +(-3.31287 - 6.01448i) q^{94} +(0.526218 - 0.338180i) q^{95} +(5.64890 + 0.299963i) q^{96} +(-4.82189 - 10.5585i) q^{97} +(2.15263 + 1.16519i) q^{98} +(1.43895 + 4.90063i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.682311 1.23873i −0.482467 0.875914i
\(3\) −0.540641 0.841254i −0.312139 0.485698i
\(4\) −1.06890 + 1.69040i −0.534452 + 0.845199i
\(5\) −3.63898 + 1.66187i −1.62740 + 0.743210i −0.999388 0.0349919i \(-0.988859\pi\)
−0.628015 + 0.778202i \(0.716132\pi\)
\(6\) −0.673201 + 1.24370i −0.274833 + 0.507740i
\(7\) −2.20249 + 0.646708i −0.832461 + 0.244433i −0.670074 0.742294i \(-0.733738\pi\)
−0.162387 + 0.986727i \(0.551919\pi\)
\(8\) 2.82327 + 0.170707i 0.998177 + 0.0603541i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) 4.54152 + 3.37381i 1.43616 + 1.06689i
\(11\) 3.86000 3.34471i 1.16383 1.00847i 0.164077 0.986447i \(-0.447535\pi\)
0.999758 0.0220213i \(-0.00701017\pi\)
\(12\) 1.99995 0.0146786i 0.577335 0.00423735i
\(13\) −0.959628 + 3.26819i −0.266153 + 0.906434i 0.712631 + 0.701539i \(0.247503\pi\)
−0.978784 + 0.204895i \(0.934315\pi\)
\(14\) 2.30388 + 2.28703i 0.615737 + 0.611234i
\(15\) 3.36543 + 2.16283i 0.868951 + 0.558441i
\(16\) −1.71489 3.61375i −0.428722 0.903436i
\(17\) 0.278072 1.93403i 0.0674424 0.469072i −0.927912 0.372798i \(-0.878398\pi\)
0.995355 0.0962740i \(-0.0306925\pi\)
\(18\) 1.41023 0.106065i 0.332395 0.0249997i
\(19\) −0.154768 + 0.0222523i −0.0355063 + 0.00510503i −0.160045 0.987110i \(-0.551164\pi\)
0.124539 + 0.992215i \(0.460255\pi\)
\(20\) 1.08051 7.92770i 0.241608 1.77269i
\(21\) 1.73480 + 1.50321i 0.378564 + 0.328028i
\(22\) −6.77692 2.49937i −1.44484 0.532867i
\(23\) 0.605610 4.75744i 0.126278 0.991995i
\(24\) −1.38277 2.46738i −0.282256 0.503651i
\(25\) 7.20608 8.31626i 1.44122 1.66325i
\(26\) 4.70317 1.04120i 0.922368 0.204197i
\(27\) 0.989821 0.142315i 0.190491 0.0273885i
\(28\) 1.26105 4.41435i 0.238316 0.834233i
\(29\) 6.53264 + 0.939252i 1.21308 + 0.174415i 0.719006 0.695004i \(-0.244598\pi\)
0.494076 + 0.869419i \(0.335507\pi\)
\(30\) 0.382894 5.64459i 0.0699066 1.03056i
\(31\) 2.58486 + 1.66119i 0.464255 + 0.298358i 0.751779 0.659415i \(-0.229196\pi\)
−0.287524 + 0.957773i \(0.592832\pi\)
\(32\) −3.30637 + 4.58998i −0.584489 + 0.811402i
\(33\) −4.90063 1.43895i −0.853090 0.250490i
\(34\) −2.58548 + 0.975156i −0.443406 + 0.167238i
\(35\) 6.94006 6.01360i 1.17308 1.01648i
\(36\) −1.09360 1.67453i −0.182267 0.279088i
\(37\) −3.20852 1.46528i −0.527477 0.240891i 0.133832 0.991004i \(-0.457272\pi\)
−0.661309 + 0.750113i \(0.729999\pi\)
\(38\) 0.133165 + 0.176533i 0.0216022 + 0.0286374i
\(39\) 3.26819 0.959628i 0.523330 0.153664i
\(40\) −10.5575 + 4.07070i −1.66929 + 0.643634i
\(41\) −0.499642 1.09406i −0.0780310 0.170864i 0.866596 0.499011i \(-0.166303\pi\)
−0.944627 + 0.328147i \(0.893576\pi\)
\(42\) 0.678402 3.17461i 0.104680 0.489852i
\(43\) 6.20972 + 9.66251i 0.946973 + 1.47352i 0.879557 + 0.475794i \(0.157839\pi\)
0.0674161 + 0.997725i \(0.478525\pi\)
\(44\) 1.52792 + 10.1001i 0.230343 + 1.52265i
\(45\) 4.00050i 0.596359i
\(46\) −6.30640 + 2.49587i −0.929828 + 0.367995i
\(47\) 4.85536 0.708228 0.354114 0.935202i \(-0.384783\pi\)
0.354114 + 0.935202i \(0.384783\pi\)
\(48\) −2.11294 + 3.39639i −0.304976 + 0.490227i
\(49\) −1.45606 + 0.935755i −0.208009 + 0.133679i
\(50\) −15.2184 3.25212i −2.15221 0.459919i
\(51\) −1.77735 + 0.811688i −0.248879 + 0.113659i
\(52\) −4.49880 5.11554i −0.623871 0.709398i
\(53\) −0.766395 2.61010i −0.105272 0.358525i 0.889962 0.456034i \(-0.150731\pi\)
−0.995235 + 0.0975095i \(0.968912\pi\)
\(54\) −0.851655 1.12902i −0.115896 0.153640i
\(55\) −8.48802 + 18.5862i −1.14452 + 2.50616i
\(56\) −6.32861 + 1.44985i −0.845696 + 0.193745i
\(57\) 0.102394 + 0.118169i 0.0135624 + 0.0156518i
\(58\) −3.29381 8.73304i −0.432499 1.14670i
\(59\) −0.0453772 + 0.154540i −0.00590761 + 0.0201195i −0.962394 0.271657i \(-0.912428\pi\)
0.956486 + 0.291777i \(0.0942464\pi\)
\(60\) −7.25337 + 3.37706i −0.936407 + 0.435977i
\(61\) 8.37851 13.0372i 1.07276 1.66925i 0.430963 0.902369i \(-0.358174\pi\)
0.641795 0.766876i \(-0.278190\pi\)
\(62\) 0.294087 4.33539i 0.0373490 0.550596i
\(63\) 0.326679 2.27210i 0.0411577 0.286258i
\(64\) 7.94172 + 0.963905i 0.992715 + 0.120488i
\(65\) −1.93923 13.4877i −0.240532 1.67294i
\(66\) 1.56128 + 7.05237i 0.192180 + 0.868086i
\(67\) 5.36000 + 4.64447i 0.654829 + 0.567412i 0.917629 0.397438i \(-0.130101\pi\)
−0.262800 + 0.964850i \(0.584646\pi\)
\(68\) 2.97205 + 2.53735i 0.360414 + 0.307699i
\(69\) −4.32963 + 2.06259i −0.521226 + 0.248307i
\(70\) −12.1845 4.49372i −1.45633 0.537102i
\(71\) 7.52390 8.68304i 0.892922 1.03049i −0.106424 0.994321i \(-0.533940\pi\)
0.999346 0.0361663i \(-0.0115146\pi\)
\(72\) −1.32811 + 2.49722i −0.156519 + 0.294301i
\(73\) 1.97790 + 13.7566i 0.231496 + 1.61009i 0.691637 + 0.722245i \(0.256890\pi\)
−0.460141 + 0.887846i \(0.652201\pi\)
\(74\) 0.374119 + 4.97427i 0.0434904 + 0.578247i
\(75\) −10.8920 1.56603i −1.25770 0.180830i
\(76\) 0.127817 0.285405i 0.0146616 0.0327382i
\(77\) −6.33855 + 9.86298i −0.722345 + 1.12399i
\(78\) −3.41864 3.39365i −0.387085 0.384255i
\(79\) 1.49751 + 0.439708i 0.168483 + 0.0494711i 0.364886 0.931052i \(-0.381108\pi\)
−0.196403 + 0.980523i \(0.562926\pi\)
\(80\) 12.2460 + 10.3004i 1.36915 + 1.15162i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −1.01434 + 1.36541i −0.112015 + 0.150785i
\(83\) 2.31069 + 1.05526i 0.253631 + 0.115829i 0.538174 0.842834i \(-0.319114\pi\)
−0.284543 + 0.958663i \(0.591842\pi\)
\(84\) −4.39536 + 1.32571i −0.479573 + 0.144647i
\(85\) 2.20221 + 7.50003i 0.238863 + 0.813493i
\(86\) 7.73228 14.2850i 0.833793 1.54039i
\(87\) −2.74166 6.00341i −0.293937 0.643633i
\(88\) 11.4688 8.78410i 1.22258 0.936388i
\(89\) 2.54000 1.63236i 0.269240 0.173030i −0.399054 0.916927i \(-0.630661\pi\)
0.668294 + 0.743898i \(0.267025\pi\)
\(90\) −4.95554 + 2.72958i −0.522360 + 0.287723i
\(91\) 7.81875i 0.819628i
\(92\) 7.39463 + 6.10897i 0.770943 + 0.636904i
\(93\) 3.07263i 0.318617i
\(94\) −3.31287 6.01448i −0.341696 0.620347i
\(95\) 0.526218 0.338180i 0.0539889 0.0346965i
\(96\) 5.64890 + 0.299963i 0.576538 + 0.0306149i
\(97\) −4.82189 10.5585i −0.489589 1.07205i −0.979715 0.200398i \(-0.935777\pi\)
0.490126 0.871652i \(-0.336951\pi\)
\(98\) 2.15263 + 1.16519i 0.217449 + 0.117702i
\(99\) 1.43895 + 4.90063i 0.144620 + 0.492532i
\(100\) 6.35518 + 21.0704i 0.635518 + 2.10704i
\(101\) −8.32989 3.80413i −0.828855 0.378525i −0.0446312 0.999004i \(-0.514211\pi\)
−0.784224 + 0.620478i \(0.786939\pi\)
\(102\) 2.21817 + 1.64783i 0.219631 + 0.163160i
\(103\) −5.84476 6.74521i −0.575901 0.664625i 0.390817 0.920468i \(-0.372192\pi\)
−0.966718 + 0.255843i \(0.917647\pi\)
\(104\) −3.26719 + 9.06318i −0.320375 + 0.888718i
\(105\) −8.81104 2.58716i −0.859870 0.252481i
\(106\) −2.71029 + 2.73026i −0.263247 + 0.265186i
\(107\) −1.28009 + 1.99186i −0.123751 + 0.192561i −0.897601 0.440808i \(-0.854692\pi\)
0.773850 + 0.633369i \(0.218328\pi\)
\(108\) −0.817456 + 1.82531i −0.0786597 + 0.175641i
\(109\) 7.04001 + 1.01220i 0.674311 + 0.0969513i 0.470960 0.882155i \(-0.343908\pi\)
0.203351 + 0.979106i \(0.434817\pi\)
\(110\) 28.8147 2.16718i 2.74737 0.206632i
\(111\) 0.501983 + 3.49137i 0.0476461 + 0.331386i
\(112\) 6.11406 + 6.85019i 0.577724 + 0.647282i
\(113\) 4.53541 5.23414i 0.426655 0.492386i −0.501198 0.865333i \(-0.667107\pi\)
0.927853 + 0.372947i \(0.121653\pi\)
\(114\) 0.0765148 0.207466i 0.00716627 0.0194310i
\(115\) 5.70243 + 18.3187i 0.531754 + 1.70823i
\(116\) −8.57048 + 10.0388i −0.795749 + 0.932078i
\(117\) −2.57421 2.23057i −0.237986 0.206216i
\(118\) 0.222395 0.0492346i 0.0204731 0.00453241i
\(119\) 0.638306 + 4.43951i 0.0585134 + 0.406970i
\(120\) 9.13232 + 6.68077i 0.833663 + 0.609868i
\(121\) 2.14707 14.9332i 0.195188 1.35756i
\(122\) −21.8663 1.48328i −1.97969 0.134290i
\(123\) −0.650258 + 1.01182i −0.0586318 + 0.0912328i
\(124\) −5.57104 + 2.59379i −0.500294 + 0.232929i
\(125\) −6.76692 + 23.0460i −0.605252 + 2.06130i
\(126\) −3.03742 + 1.14561i −0.270595 + 0.102059i
\(127\) 10.0819 + 11.6351i 0.894624 + 1.03245i 0.999280 + 0.0379428i \(0.0120805\pi\)
−0.104656 + 0.994509i \(0.533374\pi\)
\(128\) −4.22470 10.4953i −0.373414 0.927665i
\(129\) 4.77139 10.4479i 0.420098 0.919886i
\(130\) −15.3844 + 11.6050i −1.34930 + 1.01782i
\(131\) 4.94146 + 16.8291i 0.431737 + 1.47036i 0.832420 + 0.554145i \(0.186955\pi\)
−0.400683 + 0.916217i \(0.631227\pi\)
\(132\) 7.67070 6.74590i 0.667649 0.587156i
\(133\) 0.326484 0.149100i 0.0283098 0.0129286i
\(134\) 2.09606 9.80857i 0.181072 0.847331i
\(135\) −3.36543 + 2.16283i −0.289650 + 0.186147i
\(136\) 1.11523 5.41283i 0.0956299 0.464147i
\(137\) −5.19104 −0.443500 −0.221750 0.975104i \(-0.571177\pi\)
−0.221750 + 0.975104i \(0.571177\pi\)
\(138\) 5.50915 + 3.95591i 0.468970 + 0.336750i
\(139\) 10.4552i 0.886801i −0.896324 0.443400i \(-0.853772\pi\)
0.896324 0.443400i \(-0.146228\pi\)
\(140\) 2.74711 + 18.1594i 0.232173 + 1.53475i
\(141\) −2.62501 4.08459i −0.221066 0.343985i
\(142\) −15.8896 3.39555i −1.33342 0.284948i
\(143\) 7.22700 + 15.8249i 0.604352 + 1.32335i
\(144\) 3.99957 0.0587128i 0.333297 0.00489274i
\(145\) −25.3331 + 7.43846i −2.10380 + 0.617731i
\(146\) 15.6912 11.8364i 1.29861 0.979586i
\(147\) 1.57441 + 0.719011i 0.129855 + 0.0593030i
\(148\) 5.90651 3.85743i 0.485512 0.317079i
\(149\) 2.13109 1.84660i 0.174585 0.151279i −0.563185 0.826331i \(-0.690424\pi\)
0.737770 + 0.675052i \(0.235879\pi\)
\(150\) 5.49183 + 14.5608i 0.448406 + 1.18888i
\(151\) 10.2001 + 2.99503i 0.830075 + 0.243732i 0.669049 0.743218i \(-0.266702\pi\)
0.161026 + 0.986950i \(0.448520\pi\)
\(152\) −0.440751 + 0.0364043i −0.0357496 + 0.00295278i
\(153\) 1.64374 + 1.05637i 0.132889 + 0.0854024i
\(154\) 16.5424 + 1.12214i 1.33303 + 0.0904244i
\(155\) −12.1669 1.74934i −0.977272 0.140511i
\(156\) −1.87123 + 6.55030i −0.149819 + 0.524444i
\(157\) 17.0685 2.45408i 1.36222 0.195857i 0.577844 0.816147i \(-0.303894\pi\)
0.784373 + 0.620290i \(0.212985\pi\)
\(158\) −0.477087 2.15503i −0.0379550 0.171445i
\(159\) −1.78141 + 2.05586i −0.141275 + 0.163040i
\(160\) 4.40388 22.1976i 0.348157 1.75487i
\(161\) 1.74283 + 10.8698i 0.137354 + 0.856664i
\(162\) −0.489351 + 1.32685i −0.0384471 + 0.104247i
\(163\) −17.9260 15.5330i −1.40407 1.21663i −0.944507 0.328490i \(-0.893460\pi\)
−0.459564 0.888145i \(-0.651994\pi\)
\(164\) 2.38347 + 0.324855i 0.186118 + 0.0253669i
\(165\) 20.2246 2.90786i 1.57449 0.226377i
\(166\) −0.269430 3.58233i −0.0209118 0.278043i
\(167\) −1.72230 + 11.9788i −0.133275 + 0.926951i 0.807969 + 0.589225i \(0.200567\pi\)
−0.941244 + 0.337726i \(0.890342\pi\)
\(168\) 4.64120 + 4.54012i 0.358076 + 0.350278i
\(169\) 1.17609 + 0.755827i 0.0904684 + 0.0581405i
\(170\) 7.78792 7.84529i 0.597307 0.601707i
\(171\) 0.0440516 0.150026i 0.00336871 0.0114728i
\(172\) −22.9711 + 0.168596i −1.75153 + 0.0128553i
\(173\) −19.0248 + 16.4851i −1.44643 + 1.25334i −0.533134 + 0.846031i \(0.678986\pi\)
−0.913292 + 0.407305i \(0.866469\pi\)
\(174\) −5.56593 + 7.49237i −0.421952 + 0.567995i
\(175\) −10.4931 + 22.9767i −0.793204 + 1.73687i
\(176\) −18.7064 8.21327i −1.41005 0.619098i
\(177\) 0.154540 0.0453772i 0.0116160 0.00341076i
\(178\) −3.75512 2.03260i −0.281458 0.152350i
\(179\) 18.8865 8.62516i 1.41164 0.644675i 0.443775 0.896138i \(-0.353639\pi\)
0.967867 + 0.251463i \(0.0809118\pi\)
\(180\) 6.76243 + 4.27615i 0.504042 + 0.318725i
\(181\) −13.1893 20.5229i −0.980353 1.52546i −0.845073 0.534651i \(-0.820443\pi\)
−0.135280 0.990807i \(-0.543193\pi\)
\(182\) −9.68532 + 5.33482i −0.717924 + 0.395443i
\(183\) −15.4974 −1.14560
\(184\) 2.52193 13.3282i 0.185919 0.982565i
\(185\) 14.1108 1.03745
\(186\) −3.80616 + 2.09649i −0.279081 + 0.153722i
\(187\) −5.39543 8.39545i −0.394553 0.613936i
\(188\) −5.18992 + 8.20749i −0.378514 + 0.598593i
\(189\) −2.08803 + 0.953572i −0.151882 + 0.0693622i
\(190\) −0.777958 0.421099i −0.0564390 0.0305497i
\(191\) 5.17234 1.51873i 0.374257 0.109892i −0.0891941 0.996014i \(-0.528429\pi\)
0.463451 + 0.886122i \(0.346611\pi\)
\(192\) −3.48273 7.20212i −0.251344 0.519769i
\(193\) −5.99650 + 13.1305i −0.431637 + 0.945154i 0.561421 + 0.827530i \(0.310255\pi\)
−0.993058 + 0.117623i \(0.962472\pi\)
\(194\) −9.78906 + 13.1772i −0.702813 + 0.946066i
\(195\) −10.2981 + 8.92338i −0.737464 + 0.639016i
\(196\) −0.0254061 3.46156i −0.00181472 0.247254i
\(197\) 3.66006 12.4650i 0.260769 0.888097i −0.720173 0.693795i \(-0.755938\pi\)
0.980942 0.194302i \(-0.0622443\pi\)
\(198\) 5.08874 5.12623i 0.361641 0.364305i
\(199\) 0.359191 + 0.230838i 0.0254624 + 0.0163637i 0.553310 0.832975i \(-0.313364\pi\)
−0.527848 + 0.849339i \(0.677001\pi\)
\(200\) 21.7644 22.2489i 1.53897 1.57324i
\(201\) 1.00934 7.02011i 0.0711933 0.495161i
\(202\) 0.971279 + 12.9141i 0.0683390 + 0.908632i
\(203\) −14.9955 + 2.15602i −1.05248 + 0.151323i
\(204\) 0.527740 3.87204i 0.0369492 0.271097i
\(205\) 3.63638 + 3.15094i 0.253976 + 0.220071i
\(206\) −4.36755 + 11.8424i −0.304302 + 0.825099i
\(207\) 4.07594 + 2.52719i 0.283297 + 0.175652i
\(208\) 13.4561 2.13673i 0.933011 0.148156i
\(209\) −0.522978 + 0.603549i −0.0361752 + 0.0417484i
\(210\) 2.80708 + 12.6797i 0.193707 + 0.874986i
\(211\) 26.4139 3.79775i 1.81841 0.261448i 0.852949 0.521994i \(-0.174812\pi\)
0.965461 + 0.260547i \(0.0839028\pi\)
\(212\) 5.23131 + 1.49444i 0.359288 + 0.102638i
\(213\) −11.3724 1.63510i −0.779222 0.112035i
\(214\) 3.34080 + 0.226620i 0.228372 + 0.0154914i
\(215\) −38.6549 24.8420i −2.63624 1.69421i
\(216\) 2.81883 0.232824i 0.191797 0.0158417i
\(217\) −6.76743 1.98710i −0.459403 0.134893i
\(218\) −3.54963 9.41131i −0.240411 0.637414i
\(219\) 10.5035 9.10131i 0.709759 0.615009i
\(220\) −22.3451 34.2149i −1.50651 2.30677i
\(221\) 6.05395 + 2.76475i 0.407233 + 0.185977i
\(222\) 3.98235 3.00402i 0.267278 0.201617i
\(223\) 12.0024 3.52423i 0.803742 0.236000i 0.146041 0.989279i \(-0.453347\pi\)
0.657702 + 0.753279i \(0.271529\pi\)
\(224\) 4.31385 12.2476i 0.288231 0.818329i
\(225\) 4.57122 + 10.0096i 0.304748 + 0.667306i
\(226\) −9.57824 2.04683i −0.637135 0.136153i
\(227\) −8.86045 13.7871i −0.588089 0.915084i −0.999993 0.00385636i \(-0.998772\pi\)
0.411904 0.911227i \(-0.364864\pi\)
\(228\) −0.309201 + 0.0467752i −0.0204774 + 0.00309776i
\(229\) 27.3438i 1.80693i 0.428661 + 0.903466i \(0.358986\pi\)
−0.428661 + 0.903466i \(0.641014\pi\)
\(230\) 18.8011 19.5628i 1.23971 1.28993i
\(231\) 11.7241 0.771392
\(232\) 18.2831 + 3.76693i 1.20034 + 0.247311i
\(233\) 8.86069 5.69442i 0.580483 0.373054i −0.217203 0.976126i \(-0.569693\pi\)
0.797686 + 0.603073i \(0.206057\pi\)
\(234\) −1.00666 + 4.71069i −0.0658073 + 0.307947i
\(235\) −17.6686 + 8.06897i −1.15257 + 0.526362i
\(236\) −0.212731 0.241894i −0.0138476 0.0157460i
\(237\) −0.439708 1.49751i −0.0285621 0.0972737i
\(238\) 5.06384 3.81982i 0.328240 0.247602i
\(239\) −5.97101 + 13.0747i −0.386232 + 0.845731i 0.612250 + 0.790664i \(0.290264\pi\)
−0.998483 + 0.0550668i \(0.982463\pi\)
\(240\) 2.04459 15.8708i 0.131977 1.02446i
\(241\) 10.1853 + 11.7544i 0.656092 + 0.757170i 0.982134 0.188185i \(-0.0602605\pi\)
−0.326042 + 0.945355i \(0.605715\pi\)
\(242\) −19.9631 + 7.52943i −1.28328 + 0.484010i
\(243\) −0.281733 + 0.959493i −0.0180732 + 0.0615515i
\(244\) 13.0823 + 28.0986i 0.837506 + 1.79883i
\(245\) 3.74349 5.82498i 0.239163 0.372144i
\(246\) 1.69705 + 0.115118i 0.108200 + 0.00733963i
\(247\) 0.0757951 0.527167i 0.00482273 0.0335428i
\(248\) 7.01419 + 5.13124i 0.445401 + 0.325834i
\(249\) −0.361515 2.51439i −0.0229101 0.159343i
\(250\) 33.1649 7.34216i 2.09754 0.464359i
\(251\) −5.22136 4.52434i −0.329569 0.285574i 0.474320 0.880353i \(-0.342694\pi\)
−0.803889 + 0.594779i \(0.797240\pi\)
\(252\) 3.49157 + 2.98088i 0.219948 + 0.187778i
\(253\) −13.5746 20.3893i −0.853429 1.28187i
\(254\) 7.53380 20.4275i 0.472713 1.28174i
\(255\) 5.11883 5.90744i 0.320553 0.369938i
\(256\) −10.1183 + 12.3943i −0.632395 + 0.774646i
\(257\) −2.16377 15.0493i −0.134972 0.938751i −0.938941 0.344079i \(-0.888191\pi\)
0.803968 0.594672i \(-0.202718\pi\)
\(258\) −16.1977 + 1.21824i −1.00842 + 0.0758444i
\(259\) 8.01433 + 1.15229i 0.497986 + 0.0715996i
\(260\) 24.8724 + 11.1390i 1.54252 + 0.690808i
\(261\) −3.56813 + 5.55212i −0.220862 + 0.343668i
\(262\) 17.4751 17.6038i 1.07961 1.08757i
\(263\) −10.8941 3.19879i −0.671757 0.197246i −0.0719720 0.997407i \(-0.522929\pi\)
−0.599785 + 0.800161i \(0.704747\pi\)
\(264\) −13.5902 4.89913i −0.836416 0.301521i
\(265\) 7.12654 + 8.22446i 0.437780 + 0.505225i
\(266\) −0.407459 0.302693i −0.0249829 0.0185593i
\(267\) −2.74646 1.25426i −0.168080 0.0767598i
\(268\) −13.5803 + 4.09605i −0.829551 + 0.250206i
\(269\) 2.70240 + 9.20354i 0.164768 + 0.561150i 0.999938 + 0.0111569i \(0.00355141\pi\)
−0.835169 + 0.549993i \(0.814630\pi\)
\(270\) 4.97544 + 2.69314i 0.302796 + 0.163899i
\(271\) −5.14338 11.2624i −0.312438 0.684144i 0.686643 0.726995i \(-0.259083\pi\)
−0.999082 + 0.0428502i \(0.986356\pi\)
\(272\) −7.46597 + 2.31177i −0.452691 + 0.140172i
\(273\) −6.57755 + 4.22714i −0.398092 + 0.255838i
\(274\) 3.54190 + 6.43029i 0.213974 + 0.388468i
\(275\) 56.2031i 3.38917i
\(276\) 1.14135 9.52351i 0.0687015 0.573248i
\(277\) 4.63726i 0.278626i −0.990248 0.139313i \(-0.955511\pi\)
0.990248 0.139313i \(-0.0444894\pi\)
\(278\) −12.9512 + 7.13371i −0.776761 + 0.427852i
\(279\) −2.58486 + 1.66119i −0.154752 + 0.0994528i
\(280\) 20.6202 15.7933i 1.23230 0.943830i
\(281\) −10.2733 22.4955i −0.612856 1.34197i −0.920603 0.390499i \(-0.872302\pi\)
0.307747 0.951468i \(-0.400425\pi\)
\(282\) −3.26864 + 6.03864i −0.194644 + 0.359596i
\(283\) −6.33153 21.5632i −0.376370 1.28180i −0.902240 0.431234i \(-0.858078\pi\)
0.525870 0.850565i \(-0.323740\pi\)
\(284\) 6.63547 + 21.9997i 0.393742 + 1.30544i
\(285\) −0.568990 0.259849i −0.0337041 0.0153921i
\(286\) 14.6717 19.7498i 0.867559 1.16783i
\(287\) 1.80799 + 2.08654i 0.106723 + 0.123164i
\(288\) −2.80168 4.91433i −0.165090 0.289579i
\(289\) 12.6482 + 3.71385i 0.744013 + 0.218462i
\(290\) 26.4993 + 26.3055i 1.55609 + 1.54471i
\(291\) −6.27543 + 9.76477i −0.367872 + 0.572421i
\(292\) −25.3683 11.3611i −1.48457 0.664856i
\(293\) −15.3453 2.20631i −0.896480 0.128894i −0.321354 0.946959i \(-0.604138\pi\)
−0.575126 + 0.818065i \(0.695047\pi\)
\(294\) −0.183579 2.44086i −0.0107066 0.142354i
\(295\) −0.0916990 0.637781i −0.00533892 0.0371330i
\(296\) −8.80838 4.68460i −0.511977 0.272287i
\(297\) 3.34471 3.86000i 0.194080 0.223980i
\(298\) −3.74150 1.37989i −0.216739 0.0799348i
\(299\) 14.9671 + 6.54463i 0.865568 + 0.378485i
\(300\) 14.2897 16.7379i 0.825017 0.966360i
\(301\) −19.9256 17.2657i −1.14849 0.995176i
\(302\) −3.24963 14.6787i −0.186995 0.844667i
\(303\) 1.30324 + 9.06422i 0.0748691 + 0.520726i
\(304\) 0.345824 + 0.521133i 0.0198344 + 0.0298890i
\(305\) −8.82313 + 61.3662i −0.505211 + 3.51382i
\(306\) 0.187013 2.75693i 0.0106908 0.157603i
\(307\) 4.94120 7.68866i 0.282009 0.438815i −0.671133 0.741337i \(-0.734192\pi\)
0.953142 + 0.302522i \(0.0978285\pi\)
\(308\) −9.89705 21.2572i −0.563937 1.21124i
\(309\) −2.51452 + 8.56366i −0.143046 + 0.487169i
\(310\) 6.13467 + 16.2652i 0.348426 + 0.923798i
\(311\) −2.80125 3.23282i −0.158844 0.183316i 0.670749 0.741685i \(-0.265973\pi\)
−0.829593 + 0.558369i \(0.811428\pi\)
\(312\) 9.39081 2.15139i 0.531650 0.121798i
\(313\) −6.62052 + 14.4969i −0.374214 + 0.819414i 0.625032 + 0.780599i \(0.285086\pi\)
−0.999246 + 0.0388155i \(0.987642\pi\)
\(314\) −14.6860 19.4689i −0.828778 1.09869i
\(315\) 2.58716 + 8.81104i 0.145770 + 0.496446i
\(316\) −2.34398 + 2.06138i −0.131859 + 0.115962i
\(317\) −11.6759 + 5.33220i −0.655784 + 0.299486i −0.715379 0.698736i \(-0.753746\pi\)
0.0595957 + 0.998223i \(0.481019\pi\)
\(318\) 3.76213 + 0.803954i 0.210970 + 0.0450835i
\(319\) 28.3576 18.2243i 1.58772 1.02036i
\(320\) −30.5017 + 9.69045i −1.70509 + 0.541713i
\(321\) 2.36773 0.132154
\(322\) 12.2757 9.57551i 0.684096 0.533622i
\(323\) 0.305515i 0.0169993i
\(324\) 1.97750 0.299151i 0.109861 0.0166195i
\(325\) 20.2640 + 31.5314i 1.12404 + 1.74905i
\(326\) −7.01004 + 32.8038i −0.388250 + 1.81683i
\(327\) −2.95460 6.46967i −0.163390 0.357774i
\(328\) −1.22386 3.17413i −0.0675764 0.175262i
\(329\) −10.6939 + 3.14000i −0.589572 + 0.173114i
\(330\) −17.4016 23.0688i −0.957924 1.26990i
\(331\) −1.10789 0.505955i −0.0608949 0.0278098i 0.384735 0.923027i \(-0.374293\pi\)
−0.445630 + 0.895217i \(0.647020\pi\)
\(332\) −4.25371 + 2.77801i −0.233452 + 0.152463i
\(333\) 2.66573 2.30987i 0.146081 0.126580i
\(334\) 16.0137 6.03983i 0.876231 0.330485i
\(335\) −27.2235 7.99353i −1.48738 0.436733i
\(336\) 2.45724 8.84696i 0.134053 0.482641i
\(337\) 1.02692 + 0.659962i 0.0559399 + 0.0359504i 0.568312 0.822813i \(-0.307597\pi\)
−0.512372 + 0.858764i \(0.671233\pi\)
\(338\) 0.133807 1.97257i 0.00727814 0.107293i
\(339\) −6.85526 0.985638i −0.372327 0.0535325i
\(340\) −15.0320 4.29421i −0.815224 0.232886i
\(341\) 15.5338 2.23342i 0.841201 0.120946i
\(342\) −0.215899 + 0.0477963i −0.0116745 + 0.00258453i
\(343\) 13.1243 15.1462i 0.708645 0.817819i
\(344\) 15.8823 + 28.3399i 0.856314 + 1.52799i
\(345\) 12.3277 14.7010i 0.663700 0.791476i
\(346\) 33.4013 + 12.3186i 1.79567 + 0.662253i
\(347\) 3.76678 + 3.26394i 0.202212 + 0.175217i 0.750080 0.661347i \(-0.230015\pi\)
−0.547868 + 0.836565i \(0.684560\pi\)
\(348\) 13.0787 + 1.78256i 0.701093 + 0.0955554i
\(349\) 11.4050 1.63979i 0.610496 0.0877761i 0.169870 0.985467i \(-0.445665\pi\)
0.440627 + 0.897690i \(0.354756\pi\)
\(350\) 35.6215 2.67912i 1.90405 0.143205i
\(351\) −0.484748 + 3.37150i −0.0258739 + 0.179957i
\(352\) 2.58957 + 28.7762i 0.138025 + 1.53378i
\(353\) 14.4843 + 9.30848i 0.770920 + 0.495441i 0.866009 0.500028i \(-0.166677\pi\)
−0.0950886 + 0.995469i \(0.530313\pi\)
\(354\) −0.161655 0.160473i −0.00859185 0.00852902i
\(355\) −12.9493 + 44.1011i −0.687276 + 2.34065i
\(356\) 0.0443192 + 6.03845i 0.00234891 + 0.320037i
\(357\) 3.38966 2.93716i 0.179400 0.155451i
\(358\) −23.5707 17.5102i −1.24575 0.925443i
\(359\) 12.5125 27.3986i 0.660386 1.44604i −0.221777 0.975097i \(-0.571186\pi\)
0.882162 0.470945i \(-0.156087\pi\)
\(360\) 0.682914 11.2945i 0.0359927 0.595272i
\(361\) −18.2069 + 5.34603i −0.958258 + 0.281370i
\(362\) −16.4232 + 30.3410i −0.863184 + 1.59469i
\(363\) −13.7234 + 6.26726i −0.720290 + 0.328946i
\(364\) 13.2168 + 8.35749i 0.692748 + 0.438052i
\(365\) −30.0592 46.7731i −1.57337 2.44821i
\(366\) 10.5740 + 19.1971i 0.552713 + 1.00345i
\(367\) 2.31231 0.120701 0.0603507 0.998177i \(-0.480778\pi\)
0.0603507 + 0.998177i \(0.480778\pi\)
\(368\) −18.2307 + 5.96996i −0.950343 + 0.311206i
\(369\) 1.20275 0.0626129
\(370\) −9.62798 17.4795i −0.500535 0.908717i
\(371\) 3.37595 + 5.25307i 0.175270 + 0.272726i
\(372\) 5.19397 + 3.28435i 0.269295 + 0.170286i
\(373\) 19.1562 8.74835i 0.991872 0.452973i 0.147692 0.989033i \(-0.452815\pi\)
0.844179 + 0.536061i \(0.180088\pi\)
\(374\) −6.71834 + 12.4118i −0.347397 + 0.641798i
\(375\) 23.0460 6.76692i 1.19009 0.349442i
\(376\) 13.7080 + 0.828845i 0.706936 + 0.0427444i
\(377\) −9.33857 + 20.4486i −0.480961 + 1.05316i
\(378\) 2.60590 + 1.93587i 0.134033 + 0.0995707i
\(379\) −11.9983 + 10.3966i −0.616312 + 0.534037i −0.906106 0.423052i \(-0.860959\pi\)
0.289793 + 0.957089i \(0.406413\pi\)
\(380\) 0.00918172 + 1.25100i 0.000471012 + 0.0641750i
\(381\) 4.33741 14.7719i 0.222212 0.756786i
\(382\) −5.41044 5.37088i −0.276822 0.274798i
\(383\) 4.58949 + 2.94948i 0.234512 + 0.150712i 0.652619 0.757686i \(-0.273670\pi\)
−0.418108 + 0.908398i \(0.637306\pi\)
\(384\) −6.54518 + 9.22825i −0.334008 + 0.470927i
\(385\) 6.67491 46.4250i 0.340185 2.36604i
\(386\) 20.3566 1.53104i 1.03612 0.0779278i
\(387\) −11.3689 + 1.63461i −0.577916 + 0.0830917i
\(388\) 23.0021 + 3.13508i 1.16776 + 0.159159i
\(389\) −28.8109 24.9648i −1.46077 1.26576i −0.898620 0.438728i \(-0.855429\pi\)
−0.562149 0.827036i \(-0.690025\pi\)
\(390\) 18.0802 + 6.66808i 0.915525 + 0.337651i
\(391\) −9.03265 2.49418i −0.456801 0.126136i
\(392\) −4.27060 + 2.39333i −0.215698 + 0.120881i
\(393\) 11.4860 13.2555i 0.579390 0.668651i
\(394\) −17.9381 + 3.97120i −0.903709 + 0.200066i
\(395\) −6.18015 + 0.888571i −0.310957 + 0.0447089i
\(396\) −9.82211 2.80590i −0.493580 0.141002i
\(397\) 27.5102 + 3.95537i 1.38070 + 0.198514i 0.792336 0.610085i \(-0.208865\pi\)
0.588360 + 0.808599i \(0.299774\pi\)
\(398\) 0.0408661 0.602444i 0.00204843 0.0301978i
\(399\) −0.301942 0.194046i −0.0151160 0.00971446i
\(400\) −42.4105 11.7795i −2.12052 0.588975i
\(401\) 8.89754 + 2.61255i 0.444322 + 0.130465i 0.496238 0.868187i \(-0.334714\pi\)
−0.0519156 + 0.998651i \(0.516533\pi\)
\(402\) −9.38471 + 3.53960i −0.468067 + 0.176539i
\(403\) −7.90960 + 6.85370i −0.394005 + 0.341407i
\(404\) 15.3344 10.0146i 0.762912 0.498244i
\(405\) 3.63898 + 1.66187i 0.180822 + 0.0825789i
\(406\) 12.9023 + 17.1043i 0.640331 + 0.848870i
\(407\) −17.2858 + 5.07558i −0.856827 + 0.251587i
\(408\) −5.15650 + 1.98821i −0.255285 + 0.0984311i
\(409\) 5.33544 + 11.6830i 0.263820 + 0.577686i 0.994465 0.105072i \(-0.0335074\pi\)
−0.730644 + 0.682758i \(0.760780\pi\)
\(410\) 1.42202 6.65441i 0.0702287 0.328638i
\(411\) 2.80649 + 4.36698i 0.138434 + 0.215407i
\(412\) 17.6496 2.66998i 0.869532 0.131541i
\(413\) 0.369719i 0.0181927i
\(414\) 0.349454 6.77332i 0.0171747 0.332891i
\(415\) −10.1622 −0.498845
\(416\) −11.8281 15.2105i −0.579919 0.745758i
\(417\) −8.79549 + 5.65252i −0.430717 + 0.276805i
\(418\) 1.10447 + 0.236021i 0.0540213 + 0.0115442i
\(419\) 36.0665 16.4710i 1.76196 0.804661i 0.777542 0.628831i \(-0.216466\pi\)
0.984421 0.175830i \(-0.0562610\pi\)
\(420\) 13.7915 12.1287i 0.672955 0.591822i
\(421\) −3.29264 11.2137i −0.160474 0.546523i −0.999995 0.00319602i \(-0.998983\pi\)
0.839521 0.543327i \(-0.182836\pi\)
\(422\) −22.7269 30.1285i −1.10633 1.46663i
\(423\) −2.01699 + 4.41659i −0.0980695 + 0.214742i
\(424\) −1.71818 7.49985i −0.0834420 0.364225i
\(425\) −14.0801 16.2493i −0.682986 0.788208i
\(426\) 5.73404 + 15.2029i 0.277815 + 0.736585i
\(427\) −10.0223 + 34.1328i −0.485012 + 1.65180i
\(428\) −1.99874 4.29298i −0.0966129 0.207509i
\(429\) 9.40556 14.6353i 0.454105 0.706601i
\(430\) −4.39787 + 64.8329i −0.212084 + 3.12652i
\(431\) 1.22493 8.51960i 0.0590030 0.410375i −0.938819 0.344411i \(-0.888079\pi\)
0.997822 0.0659640i \(-0.0210122\pi\)
\(432\) −2.21172 3.33291i −0.106412 0.160355i
\(433\) 2.03282 + 14.1386i 0.0976910 + 0.679456i 0.978540 + 0.206058i \(0.0660635\pi\)
−0.880849 + 0.473398i \(0.843027\pi\)
\(434\) 2.15601 + 9.73883i 0.103492 + 0.467479i
\(435\) 19.9537 + 17.2900i 0.956708 + 0.828992i
\(436\) −9.23612 + 10.8185i −0.442330 + 0.518111i
\(437\) 0.0121348 + 0.749777i 0.000580489 + 0.0358667i
\(438\) −18.4407 6.80104i −0.881130 0.324966i
\(439\) −2.23440 + 2.57864i −0.106642 + 0.123072i −0.806561 0.591151i \(-0.798674\pi\)
0.699919 + 0.714222i \(0.253219\pi\)
\(440\) −27.1368 + 51.0248i −1.29369 + 2.43251i
\(441\) −0.246322 1.71321i −0.0117296 0.0815813i
\(442\) −0.705901 9.38563i −0.0335763 0.446429i
\(443\) −14.9211 2.14532i −0.708921 0.101927i −0.221584 0.975141i \(-0.571123\pi\)
−0.487337 + 0.873214i \(0.662032\pi\)
\(444\) −6.43837 2.88339i −0.305552 0.136840i
\(445\) −6.53025 + 10.1613i −0.309564 + 0.481691i
\(446\) −12.5550 12.4631i −0.594494 0.590147i
\(447\) −2.70561 0.794438i −0.127971 0.0375756i
\(448\) −18.1149 + 3.01299i −0.855848 + 0.142350i
\(449\) 1.91295 + 2.20766i 0.0902776 + 0.104186i 0.799091 0.601210i \(-0.205315\pi\)
−0.708813 + 0.705396i \(0.750769\pi\)
\(450\) 9.28018 12.4922i 0.437472 0.588886i
\(451\) −5.58795 2.55193i −0.263126 0.120166i
\(452\) 3.99986 + 13.2614i 0.188138 + 0.623765i
\(453\) −2.99503 10.2001i −0.140719 0.479244i
\(454\) −11.0329 + 20.3828i −0.517802 + 0.956612i
\(455\) 12.9937 + 28.4523i 0.609155 + 1.33386i
\(456\) 0.268913 + 0.351102i 0.0125930 + 0.0164419i
\(457\) −29.3168 + 18.8407i −1.37138 + 0.881332i −0.998908 0.0467112i \(-0.985126\pi\)
−0.372472 + 0.928044i \(0.621490\pi\)
\(458\) 33.8716 18.6570i 1.58272 0.871784i
\(459\) 1.95392i 0.0912013i
\(460\) −37.0612 9.94154i −1.72799 0.463527i
\(461\) 38.9381i 1.81353i 0.421640 + 0.906763i \(0.361454\pi\)
−0.421640 + 0.906763i \(0.638546\pi\)
\(462\) −7.99951 14.5230i −0.372171 0.675673i
\(463\) 17.4894 11.2397i 0.812800 0.522355i −0.0669700 0.997755i \(-0.521333\pi\)
0.879770 + 0.475400i \(0.157697\pi\)
\(464\) −7.80853 25.2180i −0.362502 1.17072i
\(465\) 5.10631 + 11.1812i 0.236799 + 0.518518i
\(466\) −13.0996 7.09064i −0.606827 0.328468i
\(467\) 6.60257 + 22.4863i 0.305530 + 1.04054i 0.958957 + 0.283551i \(0.0915125\pi\)
−0.653427 + 0.756990i \(0.726669\pi\)
\(468\) 6.52213 1.96718i 0.301485 0.0909328i
\(469\) −14.8090 6.76302i −0.683814 0.312287i
\(470\) 22.0507 + 16.3811i 1.01712 + 0.755602i
\(471\) −11.2925 13.0322i −0.520329 0.600491i
\(472\) −0.154493 + 0.428563i −0.00711113 + 0.0197262i
\(473\) 56.2878 + 16.5276i 2.58812 + 0.759940i
\(474\) −1.55499 + 1.56645i −0.0714232 + 0.0719493i
\(475\) −0.930216 + 1.44745i −0.0426813 + 0.0664133i
\(476\) −8.18683 3.66642i −0.375243 0.168050i
\(477\) 2.69260 + 0.387138i 0.123286 + 0.0177258i
\(478\) 20.2701 1.52453i 0.927132 0.0697304i
\(479\) 2.32584 + 16.1765i 0.106270 + 0.739125i 0.971378 + 0.237539i \(0.0763408\pi\)
−0.865108 + 0.501586i \(0.832750\pi\)
\(480\) −21.0547 + 8.29615i −0.961012 + 0.378666i
\(481\) 7.86781 9.07994i 0.358741 0.414009i
\(482\) 7.61105 20.6370i 0.346674 0.939989i
\(483\) 8.20205 7.34284i 0.373206 0.334111i
\(484\) 22.9480 + 19.5915i 1.04309 + 0.890524i
\(485\) 35.0935 + 30.4087i 1.59351 + 1.38079i
\(486\) 1.38078 0.305682i 0.0626335 0.0138660i
\(487\) 2.48092 + 17.2552i 0.112421 + 0.781906i 0.965552 + 0.260209i \(0.0837916\pi\)
−0.853131 + 0.521697i \(0.825299\pi\)
\(488\) 25.8804 35.3773i 1.17155 1.60146i
\(489\) −3.37563 + 23.4780i −0.152651 + 1.06171i
\(490\) −9.76979 0.662723i −0.441354 0.0299388i
\(491\) 6.08764 9.47255i 0.274731 0.427490i −0.676281 0.736644i \(-0.736409\pi\)
0.951012 + 0.309154i \(0.100046\pi\)
\(492\) −1.01532 2.18073i −0.0457740 0.0983151i
\(493\) 3.63309 12.3732i 0.163626 0.557260i
\(494\) −0.704733 + 0.265802i −0.0317074 + 0.0119590i
\(495\) −13.3805 15.4419i −0.601410 0.694064i
\(496\) 1.57037 12.1898i 0.0705116 0.547338i
\(497\) −10.9559 + 23.9900i −0.491439 + 1.07610i
\(498\) −2.86798 + 2.16341i −0.128517 + 0.0969449i
\(499\) 6.57063 + 22.3775i 0.294142 + 1.00175i 0.965453 + 0.260579i \(0.0839133\pi\)
−0.671311 + 0.741176i \(0.734269\pi\)
\(500\) −31.7238 36.0728i −1.41873 1.61322i
\(501\) 11.0084 5.02736i 0.491819 0.224606i
\(502\) −2.04184 + 9.55486i −0.0911318 + 0.426454i
\(503\) 31.0568 19.9590i 1.38475 0.889926i 0.385292 0.922795i \(-0.374101\pi\)
0.999460 + 0.0328684i \(0.0104642\pi\)
\(504\) 1.31017 6.35900i 0.0583595 0.283252i
\(505\) 36.6343 1.63020
\(506\) −15.9948 + 30.7271i −0.711054 + 1.36599i
\(507\) 1.39802i 0.0620883i
\(508\) −30.4446 + 4.60558i −1.35076 + 0.204340i
\(509\) 8.88333 + 13.8227i 0.393747 + 0.612682i 0.980367 0.197180i \(-0.0631783\pi\)
−0.586621 + 0.809862i \(0.699542\pi\)
\(510\) −10.8104 2.31013i −0.478690 0.102294i
\(511\) −13.2528 29.0196i −0.586270 1.28375i
\(512\) 22.2571 + 4.07707i 0.983633 + 0.180183i
\(513\) −0.150026 + 0.0440516i −0.00662381 + 0.00194493i
\(514\) −17.1657 + 12.9486i −0.757146 + 0.571140i
\(515\) 32.4786 + 14.8325i 1.43118 + 0.653597i
\(516\) 12.5609 + 19.2333i 0.552964 + 0.846701i
\(517\) 18.7417 16.2398i 0.824260 0.714225i
\(518\) −4.04089 10.7138i −0.177547 0.470738i
\(519\) 24.1537 + 7.09216i 1.06023 + 0.311311i
\(520\) −3.17254 38.4104i −0.139125 1.68441i
\(521\) −6.99595 4.49603i −0.306498 0.196974i 0.378345 0.925664i \(-0.376493\pi\)
−0.684844 + 0.728690i \(0.740130\pi\)
\(522\) 9.31215 + 0.631680i 0.407582 + 0.0276479i
\(523\) 3.00251 + 0.431696i 0.131291 + 0.0188767i 0.207647 0.978204i \(-0.433420\pi\)
−0.0763562 + 0.997081i \(0.524329\pi\)
\(524\) −33.7298 9.63562i −1.47349 0.420934i
\(525\) 25.0022 3.59478i 1.09119 0.156889i
\(526\) 3.47071 + 15.6774i 0.151330 + 0.683566i
\(527\) 3.93157 4.53728i 0.171262 0.197647i
\(528\) 3.20401 + 20.1773i 0.139437 + 0.878103i
\(529\) −22.2665 5.76231i −0.968108 0.250535i
\(530\) 5.32537 14.4395i 0.231319 0.627211i
\(531\) −0.121725 0.105475i −0.00528240 0.00457722i
\(532\) −0.0969414 + 0.711262i −0.00420294 + 0.0308371i
\(533\) 4.05508 0.583033i 0.175645 0.0252540i
\(534\) 0.320242 + 4.25792i 0.0138582 + 0.184258i
\(535\) 1.34802 9.37570i 0.0582801 0.405347i
\(536\) 14.3399 + 14.0276i 0.619389 + 0.605900i
\(537\) −17.4667 11.2252i −0.753746 0.484403i
\(538\) 9.55682 9.62722i 0.412024 0.415059i
\(539\) −2.49058 + 8.48213i −0.107277 + 0.365351i
\(540\) −0.0587217 8.00078i −0.00252698 0.344299i
\(541\) −22.7389 + 19.7034i −0.977621 + 0.847114i −0.988253 0.152830i \(-0.951161\pi\)
0.0106311 + 0.999943i \(0.496616\pi\)
\(542\) −10.4417 + 14.0557i −0.448511 + 0.603746i
\(543\) −10.1343 + 22.1911i −0.434906 + 0.952310i
\(544\) 7.95777 + 7.67097i 0.341187 + 0.328890i
\(545\) −27.3006 + 8.01619i −1.16943 + 0.343376i
\(546\) 9.72421 + 5.26359i 0.416158 + 0.225261i
\(547\) 27.3576 12.4938i 1.16972 0.534195i 0.266698 0.963780i \(-0.414067\pi\)
0.903026 + 0.429585i \(0.141340\pi\)
\(548\) 5.54872 8.77492i 0.237030 0.374846i
\(549\) 8.37851 + 13.0372i 0.357586 + 0.556415i
\(550\) −69.6204 + 38.3480i −2.96863 + 1.63516i
\(551\) −1.03195 −0.0439624
\(552\) −12.5758 + 5.08417i −0.535262 + 0.216396i
\(553\) −3.58261 −0.152348
\(554\) −5.74431 + 3.16405i −0.244052 + 0.134428i
\(555\) −7.62890 11.8708i −0.323829 0.503887i
\(556\) 17.6735 + 11.1756i 0.749523 + 0.473952i
\(557\) 12.8991 5.89081i 0.546552 0.249602i −0.122949 0.992413i \(-0.539235\pi\)
0.669501 + 0.742811i \(0.266508\pi\)
\(558\) 3.82144 + 2.06850i 0.161775 + 0.0875665i
\(559\) −37.5380 + 11.0221i −1.58769 + 0.466187i
\(560\) −33.6330 14.7670i −1.42126 0.624019i
\(561\) −4.14571 + 9.07784i −0.175032 + 0.383267i
\(562\) −20.8562 + 28.0748i −0.879766 + 1.18426i
\(563\) 13.7077 11.8778i 0.577711 0.500590i −0.316285 0.948664i \(-0.602436\pi\)
0.893996 + 0.448075i \(0.147890\pi\)
\(564\) 9.71047 0.0712700i 0.408884 0.00300101i
\(565\) −7.80582 + 26.5842i −0.328393 + 1.11840i
\(566\) −22.3909 + 22.5559i −0.941161 + 0.948094i
\(567\) 1.93107 + 1.24102i 0.0810974 + 0.0521181i
\(568\) 22.7243 23.2302i 0.953489 0.974717i
\(569\) 1.22793 8.54041i 0.0514773 0.358033i −0.947760 0.318984i \(-0.896658\pi\)
0.999237 0.0390484i \(-0.0124327\pi\)
\(570\) 0.0663452 + 0.882123i 0.00277890 + 0.0369481i
\(571\) −22.5086 + 3.23625i −0.941956 + 0.135433i −0.596150 0.802873i \(-0.703304\pi\)
−0.345806 + 0.938306i \(0.612395\pi\)
\(572\) −34.4754 4.69882i −1.44149 0.196468i
\(573\) −4.07402 3.53016i −0.170194 0.147474i
\(574\) 1.35104 3.66328i 0.0563914 0.152902i
\(575\) −35.2000 39.3189i −1.46794 1.63971i
\(576\) −4.17591 + 6.82362i −0.173996 + 0.284318i
\(577\) 1.47403 1.70112i 0.0613647 0.0708186i −0.724237 0.689551i \(-0.757808\pi\)
0.785602 + 0.618732i \(0.212353\pi\)
\(578\) −4.02956 18.2017i −0.167607 0.757092i
\(579\) 14.2880 2.05431i 0.593790 0.0853741i
\(580\) 14.5047 50.7740i 0.602274 2.10827i
\(581\) −5.77170 0.829845i −0.239451 0.0344278i
\(582\) 16.3777 + 1.11096i 0.678878 + 0.0460509i
\(583\) −11.6883 7.51163i −0.484081 0.311100i
\(584\) 3.23580 + 39.1763i 0.133899 + 1.62113i
\(585\) 13.0744 + 3.83899i 0.540560 + 0.158723i
\(586\) 7.73721 + 20.5140i 0.319621 + 0.847426i
\(587\) 7.56358 6.55388i 0.312183 0.270508i −0.484650 0.874708i \(-0.661053\pi\)
0.796832 + 0.604201i \(0.206507\pi\)
\(588\) −2.89831 + 1.89283i −0.119524 + 0.0780591i
\(589\) −0.437020 0.199580i −0.0180071 0.00822356i
\(590\) −0.727471 + 0.548755i −0.0299495 + 0.0225919i
\(591\) −12.4650 + 3.66006i −0.512743 + 0.150555i
\(592\) 0.207096 + 14.1076i 0.00851160 + 0.579817i
\(593\) −1.72313 3.77312i −0.0707604 0.154944i 0.870947 0.491377i \(-0.163506\pi\)
−0.941707 + 0.336434i \(0.890779\pi\)
\(594\) −7.06364 1.50947i −0.289824 0.0619344i
\(595\) −9.70066 15.0945i −0.397688 0.618815i
\(596\) 0.843556 + 5.57622i 0.0345534 + 0.228411i
\(597\) 0.426971i 0.0174748i
\(598\) −2.10517 23.0056i −0.0860869 0.940770i
\(599\) −2.55040 −0.104207 −0.0521033 0.998642i \(-0.516592\pi\)
−0.0521033 + 0.998642i \(0.516592\pi\)
\(600\) −30.4837 6.28067i −1.24449 0.256407i
\(601\) 30.1161 19.3544i 1.22846 0.789484i 0.244811 0.969571i \(-0.421274\pi\)
0.983651 + 0.180086i \(0.0576378\pi\)
\(602\) −7.79202 + 36.4630i −0.317579 + 1.48612i
\(603\) −6.45139 + 2.94625i −0.262721 + 0.119981i
\(604\) −15.9657 + 14.0409i −0.649637 + 0.571315i
\(605\) 17.0038 + 57.9097i 0.691303 + 2.35436i
\(606\) 10.3389 7.79897i 0.419989 0.316812i
\(607\) 13.8501 30.3275i 0.562159 1.23096i −0.388709 0.921360i \(-0.627079\pi\)
0.950868 0.309596i \(-0.100194\pi\)
\(608\) 0.409583 0.783958i 0.0166108 0.0317937i
\(609\) 9.92093 + 11.4494i 0.402016 + 0.463952i
\(610\) 82.0363 30.9413i 3.32155 1.25278i
\(611\) −4.65934 + 15.8683i −0.188497 + 0.641962i
\(612\) −3.54269 + 1.64942i −0.143205 + 0.0666739i
\(613\) −20.5879 + 32.0354i −0.831537 + 1.29390i 0.121972 + 0.992534i \(0.461078\pi\)
−0.953509 + 0.301364i \(0.902558\pi\)
\(614\) −12.8956 0.874759i −0.520424 0.0353024i
\(615\) 0.684764 4.76264i 0.0276124 0.192048i
\(616\) −19.5791 + 26.7638i −0.788866 + 1.07835i
\(617\) 1.00182 + 6.96782i 0.0403318 + 0.280514i 1.00000 0.000621840i \(-0.000197938\pi\)
−0.959668 + 0.281136i \(0.909289\pi\)
\(618\) 12.3237 2.72827i 0.495734 0.109747i
\(619\) 11.1982 + 9.70333i 0.450095 + 0.390010i 0.850200 0.526460i \(-0.176481\pi\)
−0.400105 + 0.916469i \(0.631026\pi\)
\(620\) 15.9624 18.6971i 0.641065 0.750893i
\(621\) −0.0776085 4.79520i −0.00311432 0.192425i
\(622\) −2.09326 + 5.67578i −0.0839322 + 0.227578i
\(623\) −4.53866 + 5.23789i −0.181837 + 0.209852i
\(624\) −9.07244 10.1648i −0.363188 0.406916i
\(625\) −5.84457 40.6499i −0.233783 1.62599i
\(626\) 22.4750 1.69037i 0.898282 0.0675606i
\(627\) 0.790481 + 0.113654i 0.0315688 + 0.00453891i
\(628\) −14.0962 + 31.4758i −0.562501 + 1.25602i
\(629\) −3.72610 + 5.79793i −0.148569 + 0.231179i
\(630\) 9.14926 9.21666i 0.364515 0.367200i
\(631\) 7.23416 + 2.12414i 0.287987 + 0.0845607i 0.422536 0.906346i \(-0.361140\pi\)
−0.134548 + 0.990907i \(0.542958\pi\)
\(632\) 4.15281 + 1.49705i 0.165190 + 0.0595495i
\(633\) −17.4753 20.1676i −0.694582 0.801590i
\(634\) 14.5718 + 10.8251i 0.578718 + 0.429918i
\(635\) −56.0239 25.5853i −2.22324 1.01532i
\(636\) −1.57106 5.20881i −0.0622966 0.206543i
\(637\) −1.66095 5.65667i −0.0658092 0.224125i
\(638\) −41.9236 22.6927i −1.65977 0.898413i
\(639\) 4.77283 + 10.4510i 0.188810 + 0.413437i
\(640\) 32.8155 + 31.1714i 1.29714 + 1.23216i
\(641\) 26.2777 16.8876i 1.03790 0.667021i 0.0934371 0.995625i \(-0.470215\pi\)
0.944468 + 0.328604i \(0.106578\pi\)
\(642\) −1.61553 2.93298i −0.0637598 0.115755i
\(643\) 17.8392i 0.703510i 0.936092 + 0.351755i \(0.114415\pi\)
−0.936092 + 0.351755i \(0.885585\pi\)
\(644\) −20.2373 8.67275i −0.797461 0.341754i
\(645\) 45.9491i 1.80924i
\(646\) 0.378450 0.208456i 0.0148899 0.00820159i
\(647\) −7.09637 + 4.56056i −0.278987 + 0.179294i −0.672650 0.739961i \(-0.734844\pi\)
0.393663 + 0.919255i \(0.371208\pi\)
\(648\) −1.71984 2.24548i −0.0675616 0.0882106i
\(649\) 0.341737 + 0.748300i 0.0134144 + 0.0293734i
\(650\) 25.2325 46.6158i 0.989702 1.82842i
\(651\) 1.98710 + 6.76743i 0.0778804 + 0.265236i
\(652\) 45.4180 13.6988i 1.77871 0.536487i
\(653\) 1.47773 + 0.674859i 0.0578282 + 0.0264093i 0.444119 0.895968i \(-0.353517\pi\)
−0.386291 + 0.922377i \(0.626244\pi\)
\(654\) −5.99822 + 8.07428i −0.234549 + 0.315729i
\(655\) −45.9495 53.0286i −1.79540 2.07200i
\(656\) −3.09684 + 3.68178i −0.120911 + 0.143749i
\(657\) −13.3351 3.91554i −0.520252 0.152760i
\(658\) 11.1862 + 11.1044i 0.436082 + 0.432893i
\(659\) −19.8019 + 30.8123i −0.771372 + 1.20028i 0.203840 + 0.979004i \(0.434658\pi\)
−0.975212 + 0.221273i \(0.928979\pi\)
\(660\) −16.7028 + 37.2959i −0.650154 + 1.45174i
\(661\) 15.0220 + 2.15984i 0.584289 + 0.0840081i 0.428119 0.903722i \(-0.359176\pi\)
0.156170 + 0.987730i \(0.450085\pi\)
\(662\) 0.129181 + 1.71759i 0.00502078 + 0.0667560i
\(663\) −0.947160 6.58764i −0.0367847 0.255843i
\(664\) 6.34356 + 3.37372i 0.246178 + 0.130926i
\(665\) −0.940285 + 1.08515i −0.0364627 + 0.0420802i
\(666\) −4.68017 1.72607i −0.181353 0.0668840i
\(667\) 8.42467 30.5098i 0.326204 1.18135i
\(668\) −18.4080 15.7156i −0.712229 0.608055i
\(669\) −9.45377 8.19174i −0.365504 0.316711i
\(670\) 8.67303 + 39.1766i 0.335068 + 1.51352i
\(671\) −11.2647 78.3475i −0.434867 3.02457i
\(672\) −12.6356 + 2.99252i −0.487429 + 0.115439i
\(673\) 2.21118 15.3791i 0.0852348 0.592821i −0.901781 0.432194i \(-0.857739\pi\)
0.987015 0.160626i \(-0.0513514\pi\)
\(674\) 0.116836 1.72238i 0.00450034 0.0663435i
\(675\) 5.94921 9.25715i 0.228985 0.356308i
\(676\) −2.53478 + 1.18015i −0.0974914 + 0.0453905i
\(677\) −9.96684 + 33.9439i −0.383057 + 1.30457i 0.512141 + 0.858901i \(0.328853\pi\)
−0.895198 + 0.445670i \(0.852966\pi\)
\(678\) 3.45648 + 9.16433i 0.132745 + 0.351954i
\(679\) 17.4484 + 20.1365i 0.669607 + 0.772768i
\(680\) 4.93712 + 21.5506i 0.189330 + 0.826426i
\(681\) −6.80815 + 14.9078i −0.260889 + 0.571267i
\(682\) −13.3655 17.7183i −0.511790 0.678468i
\(683\) −5.37365 18.3010i −0.205617 0.700267i −0.996136 0.0878291i \(-0.972007\pi\)
0.790519 0.612438i \(-0.209811\pi\)
\(684\) 0.206517 + 0.234828i 0.00789636 + 0.00897888i
\(685\) 18.8901 8.62682i 0.721753 0.329614i
\(686\) −27.7169 5.92301i −1.05824 0.226141i
\(687\) 23.0031 14.7832i 0.877623 0.564014i
\(688\) 24.2689 39.0105i 0.925242 1.48726i
\(689\) 9.26577 0.352998
\(690\) −26.6219 5.24002i −1.01348 0.199484i
\(691\) 12.1104i 0.460700i −0.973108 0.230350i \(-0.926013\pi\)
0.973108 0.230350i \(-0.0739871\pi\)
\(692\) −7.53065 49.7804i −0.286272 1.89237i
\(693\) −6.33855 9.86298i −0.240782 0.374664i
\(694\) 1.47302 6.89305i 0.0559151 0.261657i
\(695\) 17.3752 + 38.0464i 0.659079 + 1.44318i
\(696\) −6.71564 17.4173i −0.254556 0.660200i
\(697\) −2.25489 + 0.662096i −0.0854101 + 0.0250787i
\(698\) −9.81303 13.0089i −0.371429 0.492394i
\(699\) −9.58090 4.37545i −0.362383 0.165495i
\(700\) −27.6236 42.2974i −1.04407 1.59869i
\(701\) −9.47628 + 8.21124i −0.357914 + 0.310134i −0.815193 0.579189i \(-0.803369\pi\)
0.457279 + 0.889323i \(0.348824\pi\)
\(702\) 4.50712 1.69994i 0.170110 0.0641600i
\(703\) 0.529183 + 0.155382i 0.0199585 + 0.00586034i
\(704\) 33.8790 22.8421i 1.27686 0.860894i
\(705\) 16.3404 + 10.5013i 0.615415 + 0.395503i
\(706\) 1.64792 24.2934i 0.0620201 0.914294i
\(707\) 20.8066 + 2.99154i 0.782514 + 0.112508i
\(708\) −0.0884835 + 0.309739i −0.00332541 + 0.0116407i
\(709\) 21.9758 3.15964i 0.825318 0.118663i 0.283302 0.959031i \(-0.408570\pi\)
0.542016 + 0.840368i \(0.317661\pi\)
\(710\) 63.4648 14.0500i 2.38179 0.527289i
\(711\) −1.02206 + 1.17952i −0.0383303 + 0.0442355i
\(712\) 7.44977 4.17500i 0.279192 0.156465i
\(713\) 9.46843 11.2913i 0.354595 0.422862i
\(714\) −5.95115 2.19482i −0.222716 0.0821391i
\(715\) −52.5978 45.5763i −1.96705 1.70446i
\(716\) −5.60787 + 41.1451i −0.209576 + 1.53767i
\(717\) 14.2273 2.04558i 0.531328 0.0763934i
\(718\) −42.4769 + 3.19472i −1.58522 + 0.119226i
\(719\) −0.874763 + 6.08411i −0.0326232 + 0.226899i −0.999610 0.0279274i \(-0.991109\pi\)
0.966987 + 0.254827i \(0.0820184\pi\)
\(720\) −14.4568 + 6.86041i −0.538773 + 0.255672i
\(721\) 17.2352 + 11.0764i 0.641871 + 0.412506i
\(722\) 19.0451 + 18.9058i 0.708784 + 0.703601i
\(723\) 4.38189 14.9233i 0.162964 0.555005i
\(724\) 48.7900 0.358094i 1.81327 0.0133085i
\(725\) 54.8858 47.5588i 2.03841 1.76629i
\(726\) 17.1270 + 12.7233i 0.635644 + 0.472207i
\(727\) −6.45192 + 14.1277i −0.239288 + 0.523968i −0.990732 0.135828i \(-0.956630\pi\)
0.751444 + 0.659797i \(0.229358\pi\)
\(728\) 1.33472 22.0745i 0.0494679 0.818134i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) −37.4295 + 69.1490i −1.38533 + 2.55932i
\(731\) 20.4144 9.32293i 0.755053 0.344821i
\(732\) 16.5652 26.1967i 0.612268 0.968259i
\(733\) −19.5675 30.4476i −0.722741 1.12461i −0.987088 0.160180i \(-0.948793\pi\)
0.264347 0.964428i \(-0.414844\pi\)
\(734\) −1.57771 2.86432i −0.0582344 0.105724i
\(735\) −6.92416 −0.255402
\(736\) 19.8342 + 18.5096i 0.731098 + 0.682273i
\(737\) 36.2241 1.33433
\(738\) −0.820652 1.48989i −0.0302086 0.0548435i
\(739\) 12.9076 + 20.0846i 0.474814 + 0.738826i 0.993213 0.116314i \(-0.0371078\pi\)
−0.518398 + 0.855139i \(0.673471\pi\)
\(740\) −15.0831 + 23.8529i −0.554467 + 0.876851i
\(741\) −0.484459 + 0.221245i −0.0177970 + 0.00812763i
\(742\) 4.20370 7.76612i 0.154323 0.285103i
\(743\) 12.4750 3.66300i 0.457664 0.134382i −0.0447707 0.998997i \(-0.514256\pi\)
0.502435 + 0.864615i \(0.332438\pi\)
\(744\) 0.524520 8.67487i 0.0192298 0.318036i
\(745\) −4.68619 + 10.2613i −0.171689 + 0.375946i
\(746\) −23.9073 17.7603i −0.875310 0.650251i
\(747\) −1.91979 + 1.66351i −0.0702414 + 0.0608645i
\(748\) 19.9588 0.146488i 0.729768 0.00535613i
\(749\) 1.53123 5.21490i 0.0559500 0.190548i
\(750\) −24.1069 23.9307i −0.880261 0.873824i
\(751\) −5.82228 3.74175i −0.212458 0.136538i 0.430084 0.902789i \(-0.358484\pi\)
−0.642542 + 0.766250i \(0.722120\pi\)
\(752\) −8.32641 17.5460i −0.303633 0.639839i
\(753\) −0.983232 + 6.83853i −0.0358310 + 0.249210i
\(754\) 31.7021 2.38434i 1.15452 0.0868326i
\(755\) −42.0954 + 6.05241i −1.53201 + 0.220270i
\(756\) 0.619990 4.54888i 0.0225488 0.165441i
\(757\) 4.08841 + 3.54262i 0.148596 + 0.128759i 0.725986 0.687709i \(-0.241384\pi\)
−0.577391 + 0.816468i \(0.695929\pi\)
\(758\) 21.0652 + 7.76896i 0.765121 + 0.282181i
\(759\) −9.81361 + 22.4430i −0.356211 + 0.814629i
\(760\) 1.54339 0.864945i 0.0559845 0.0313748i
\(761\) −17.3303 + 20.0002i −0.628221 + 0.725006i −0.977246 0.212108i \(-0.931967\pi\)
0.349025 + 0.937113i \(0.386513\pi\)
\(762\) −21.2578 + 4.70612i −0.770089 + 0.170485i
\(763\) −16.1601 + 2.32348i −0.585036 + 0.0841155i
\(764\) −2.96146 + 10.3667i −0.107142 + 0.375053i
\(765\) −7.73710 1.11243i −0.279735 0.0402199i
\(766\) 0.522158 7.69760i 0.0188663 0.278126i
\(767\) −0.461523 0.296603i −0.0166646 0.0107097i
\(768\) 15.8972 + 1.81118i 0.573639 + 0.0653555i
\(769\) −4.25627 1.24975i −0.153485 0.0450673i 0.204087 0.978953i \(-0.434577\pi\)
−0.357573 + 0.933885i \(0.616396\pi\)
\(770\) −62.0624 + 23.4079i −2.23658 + 0.843562i
\(771\) −11.4905 + 9.95656i −0.413820 + 0.358577i
\(772\) −15.7861 24.1717i −0.568153 0.869959i
\(773\) −6.17235 2.81882i −0.222004 0.101386i 0.301308 0.953527i \(-0.402577\pi\)