Properties

Label 552.2.bb.a.13.17
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 13.17
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.17

$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

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 −0.628015 0.778202i \(-0.716132\pi\)
−0.999388 + 0.0349919i \(0.988859\pi\)
\(6\) −0.673201 1.24370i −0.274833 0.507740i
\(7\) −2.20249 0.646708i −0.832461 0.244433i −0.162387 0.986727i \(-0.551919\pi\)
−0.670074 + 0.742294i \(0.733738\pi\)
\(8\) 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 0.999758 + 0.0220213i \(0.00701017\pi\)
0.164077 + 0.986447i \(0.447535\pi\)
\(12\) 1.99995 + 0.0146786i 0.577335 + 0.00423735i
\(13\) −0.959628 3.26819i −0.266153 0.906434i −0.978784 0.204895i \(-0.934315\pi\)
0.712631 0.701539i \(-0.247503\pi\)
\(14\) 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 0.995355 + 0.0962740i \(0.0306925\pi\)
−0.927912 + 0.372798i \(0.878398\pi\)
\(18\) 1.41023 + 0.106065i 0.332395 + 0.0249997i
\(19\) −0.154768 0.0222523i −0.0355063 0.00510503i 0.124539 0.992215i \(-0.460255\pi\)
−0.160045 + 0.987110i \(0.551164\pi\)
\(20\) 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 0.494076 0.869419i \(-0.335507\pi\)
0.719006 + 0.695004i \(0.244598\pi\)
\(30\) 0.382894 + 5.64459i 0.0699066 + 1.03056i
\(31\) 2.58486 1.66119i 0.464255 0.298358i −0.287524 0.957773i \(-0.592832\pi\)
0.751779 + 0.659415i \(0.229196\pi\)
\(32\) −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 −0.661309 0.750113i \(-0.729999\pi\)
0.133832 + 0.991004i \(0.457272\pi\)
\(38\) 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 −0.944627 0.328147i \(-0.893576\pi\)
0.866596 + 0.499011i \(0.166303\pi\)
\(42\) 0.678402 + 3.17461i 0.104680 + 0.489852i
\(43\) 6.20972 9.66251i 0.946973 1.47352i 0.0674161 0.997725i \(-0.478525\pi\)
0.879557 0.475794i \(-0.157839\pi\)
\(44\) 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 −0.995235 0.0975095i \(-0.968912\pi\)
0.889962 + 0.456034i \(0.150731\pi\)
\(54\) −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 0.956486 0.291777i \(-0.0942464\pi\)
−0.962394 + 0.271657i \(0.912428\pi\)
\(60\) −7.25337 3.37706i −0.936407 0.435977i
\(61\) 8.37851 + 13.0372i 1.07276 + 1.66925i 0.641795 + 0.766876i \(0.278190\pi\)
0.430963 + 0.902369i \(0.358174\pi\)
\(62\) 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 −0.262800 0.964850i \(-0.584646\pi\)
0.917629 + 0.397438i \(0.130101\pi\)
\(68\) 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 0.999346 + 0.0361663i \(0.0115146\pi\)
−0.106424 + 0.994321i \(0.533940\pi\)
\(72\) −1.32811 2.49722i −0.156519 0.294301i
\(73\) 1.97790 13.7566i 0.231496 1.61009i −0.460141 0.887846i \(-0.652201\pi\)
0.691637 0.722245i \(-0.256890\pi\)
\(74\) 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 −0.196403 0.980523i \(-0.562926\pi\)
0.364886 + 0.931052i \(0.381108\pi\)
\(80\) 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 −0.284543 0.958663i \(-0.591842\pi\)
0.538174 + 0.842834i \(0.319114\pi\)
\(84\) −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 0.668294 0.743898i \(-0.267025\pi\)
−0.399054 + 0.916927i \(0.630661\pi\)
\(90\) −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 0.490126 + 0.871652i \(0.336951\pi\)
−0.979715 + 0.200398i \(0.935777\pi\)
\(98\) 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 −0.784224 0.620478i \(-0.786939\pi\)
−0.0446312 + 0.999004i \(0.514211\pi\)
\(102\) 2.21817 1.64783i 0.219631 0.163160i
\(103\) −5.84476 + 6.74521i −0.575901 + 0.664625i −0.966718 0.255843i \(-0.917647\pi\)
0.390817 + 0.920468i \(0.372192\pi\)
\(104\) −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 0.773850 0.633369i \(-0.218328\pi\)
−0.897601 + 0.440808i \(0.854692\pi\)
\(108\) −0.817456 1.82531i −0.0786597 0.175641i
\(109\) 7.04001 1.01220i 0.674311 0.0969513i 0.203351 0.979106i \(-0.434817\pi\)
0.470960 + 0.882155i \(0.343908\pi\)
\(110\) 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 0.927853 0.372947i \(-0.121653\pi\)
−0.501198 + 0.865333i \(0.667107\pi\)
\(114\) 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 −0.104656 0.994509i \(-0.533374\pi\)
0.999280 0.0379428i \(-0.0120805\pi\)
\(128\) −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 −0.400683 0.916217i \(-0.631227\pi\)
0.832420 0.554145i \(-0.186955\pi\)
\(132\) 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 \(0.146228\pi\)
−0.896324 + 0.443400i \(0.853772\pi\)
\(140\) 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 0.737770 0.675052i \(-0.235879\pi\)
−0.563185 + 0.826331i \(0.690424\pi\)
\(150\) 5.49183 14.5608i 0.448406 1.18888i
\(151\) 10.2001 2.99503i 0.830075 0.243732i 0.161026 0.986950i \(-0.448520\pi\)
0.669049 + 0.743218i \(0.266702\pi\)
\(152\) −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 0.784373 0.620290i \(-0.212985\pi\)
0.577844 + 0.816147i \(0.303894\pi\)
\(158\) −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 −0.459564 + 0.888145i \(0.651994\pi\)
−0.944507 + 0.328490i \(0.893460\pi\)
\(164\) 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 −0.941244 0.337726i \(-0.890342\pi\)
0.807969 0.589225i \(-0.200567\pi\)
\(168\) 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 −0.913292 0.407305i \(-0.866469\pi\)
−0.533134 0.846031i \(-0.678986\pi\)
\(174\) −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 0.967867 0.251463i \(-0.0809118\pi\)
0.443775 + 0.896138i \(0.353639\pi\)
\(180\) 6.76243 4.27615i 0.504042 0.318725i
\(181\) −13.1893 + 20.5229i −0.980353 + 1.52546i −0.135280 + 0.990807i \(0.543193\pi\)
−0.845073 + 0.534651i \(0.820443\pi\)
\(182\) −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 0.463451 0.886122i \(-0.346611\pi\)
−0.0891941 + 0.996014i \(0.528429\pi\)
\(192\) −3.48273 + 7.20212i −0.251344 + 0.519769i
\(193\) −5.99650 13.1305i −0.431637 0.945154i −0.993058 0.117623i \(-0.962472\pi\)
0.561421 0.827530i \(-0.310255\pi\)
\(194\) −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 0.980942 + 0.194302i \(0.0622443\pi\)
−0.720173 + 0.693795i \(0.755938\pi\)
\(198\) 5.08874 + 5.12623i 0.361641 + 0.364305i
\(199\) 0.359191 0.230838i 0.0254624 0.0163637i −0.527848 0.849339i \(-0.677001\pi\)
0.553310 + 0.832975i \(0.313364\pi\)
\(200\) 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 0.965461 0.260547i \(-0.0839028\pi\)
0.852949 + 0.521994i \(0.174812\pi\)
\(212\) 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 0.657702 0.753279i \(-0.271529\pi\)
0.146041 + 0.989279i \(0.453347\pi\)
\(224\) 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 0.411904 + 0.911227i \(0.364864\pi\)
−0.999993 + 0.00385636i \(0.998772\pi\)
\(228\) −0.309201 0.0467752i −0.0204774 0.00309776i
\(229\) 27.3438i 1.80693i −0.428661 0.903466i \(-0.641014\pi\)
0.428661 0.903466i \(-0.358986\pi\)
\(230\) 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 0.797686 0.603073i \(-0.206057\pi\)
−0.217203 + 0.976126i \(0.569693\pi\)
\(234\) −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 −0.998483 0.0550668i \(-0.982463\pi\)
0.612250 0.790664i \(-0.290264\pi\)
\(240\) 2.04459 + 15.8708i 0.131977 + 1.02446i
\(241\) 10.1853 11.7544i 0.656092 0.757170i −0.326042 0.945355i \(-0.605715\pi\)
0.982134 + 0.188185i \(0.0602605\pi\)
\(242\) −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 −0.803889 0.594779i \(-0.797240\pi\)
0.474320 + 0.880353i \(0.342694\pi\)
\(252\) 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 0.803968 + 0.594672i \(0.202718\pi\)
−0.938941 + 0.344079i \(0.888191\pi\)
\(258\) −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 −0.599785 0.800161i \(-0.704747\pi\)
−0.0719720 + 0.997407i \(0.522929\pi\)
\(264\) −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 −0.835169 0.549993i \(-0.814630\pi\)
0.999938 0.0111569i \(-0.00355141\pi\)
\(270\) 4.97544 2.69314i 0.302796 0.163899i
\(271\) −5.14338 + 11.2624i −0.312438 + 0.684144i −0.999082 0.0428502i \(-0.986356\pi\)
0.686643 + 0.726995i \(0.259083\pi\)
\(272\) −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 \(0.0444894\pi\)
−0.990248 + 0.139313i \(0.955511\pi\)
\(278\) −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 0.307747 + 0.951468i \(0.400425\pi\)
−0.920603 + 0.390499i \(0.872302\pi\)
\(282\) −3.26864 6.03864i −0.194644 0.359596i
\(283\) −6.33153 + 21.5632i −0.376370 + 1.28180i 0.525870 + 0.850565i \(0.323740\pi\)
−0.902240 + 0.431234i \(0.858078\pi\)
\(284\) 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 −0.575126 0.818065i \(-0.695047\pi\)
−0.321354 + 0.946959i \(0.604138\pi\)
\(294\) −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 0.953142 0.302522i \(-0.0978285\pi\)
−0.671133 + 0.741337i \(0.734192\pi\)
\(308\) −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 −0.829593 0.558369i \(-0.811428\pi\)
0.670749 + 0.741685i \(0.265973\pi\)
\(312\) 9.39081 + 2.15139i 0.531650 + 0.121798i
\(313\) −6.62052 14.4969i −0.374214 0.819414i −0.999246 0.0388155i \(-0.987642\pi\)
0.625032 0.780599i \(-0.285086\pi\)
\(314\) −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 0.0595957 0.998223i \(-0.481019\pi\)
−0.715379 + 0.698736i \(0.753746\pi\)
\(318\) 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 −0.445630 0.895217i \(-0.647020\pi\)
0.384735 + 0.923027i \(0.374293\pi\)
\(332\) −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 −0.512372 0.858764i \(-0.671233\pi\)
0.568312 + 0.822813i \(0.307597\pi\)
\(338\) 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 −0.547868 0.836565i \(-0.684560\pi\)
0.750080 + 0.661347i \(0.230015\pi\)
\(348\) 13.0787 1.78256i 0.701093 0.0955554i
\(349\) 11.4050 + 1.63979i 0.610496 + 0.0877761i 0.440627 0.897690i \(-0.354756\pi\)
0.169870 + 0.985467i \(0.445665\pi\)
\(350\) 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 −0.0950886 0.995469i \(-0.530313\pi\)
0.866009 + 0.500028i \(0.166677\pi\)
\(354\) −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 0.882162 + 0.470945i \(0.156087\pi\)
−0.221777 + 0.975097i \(0.571186\pi\)
\(360\) 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 0.844179 0.536061i \(-0.180088\pi\)
0.147692 + 0.989033i \(0.452815\pi\)
\(374\) −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 0.289793 0.957089i \(-0.406413\pi\)
−0.906106 + 0.423052i \(0.860959\pi\)
\(380\) 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 −0.418108 0.908398i \(-0.637306\pi\)
0.652619 + 0.757686i \(0.273670\pi\)
\(384\) −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 −0.562149 + 0.827036i \(0.690025\pi\)
−0.898620 + 0.438728i \(0.855429\pi\)
\(390\) 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 0.588360 0.808599i \(-0.299774\pi\)
0.792336 + 0.610085i \(0.208865\pi\)
\(398\) 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 −0.0519156 0.998651i \(-0.516533\pi\)
0.496238 + 0.868187i \(0.334714\pi\)
\(402\) −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 −0.730644 0.682758i \(-0.760780\pi\)
0.994465 + 0.105072i \(0.0335074\pi\)
\(410\) 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 0.984421 + 0.175830i \(0.0562610\pi\)
0.777542 + 0.628831i \(0.216466\pi\)
\(420\) 13.7915 + 12.1287i 0.672955 + 0.591822i
\(421\) −3.29264 + 11.2137i −0.160474 + 0.546523i 0.839521 + 0.543327i \(0.182836\pi\)
−0.999995 + 0.00319602i \(0.998983\pi\)
\(422\) −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 0.997822 + 0.0659640i \(0.0210122\pi\)
−0.938819 + 0.344411i \(0.888079\pi\)
\(432\) −2.21172 + 3.33291i −0.106412 + 0.160355i
\(433\) 2.03282 14.1386i 0.0976910 0.679456i −0.880849 0.473398i \(-0.843027\pi\)
0.978540 0.206058i \(-0.0660635\pi\)
\(434\) 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 0.699919 0.714222i \(-0.253219\pi\)
−0.806561 + 0.591151i \(0.798674\pi\)
\(440\) −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 −0.487337 0.873214i \(-0.662032\pi\)
−0.221584 + 0.975141i \(0.571123\pi\)
\(444\) −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 −0.708813 0.705396i \(-0.750769\pi\)
0.799091 + 0.601210i \(0.205315\pi\)
\(450\) 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 −0.372472 0.928044i \(-0.621490\pi\)
−0.998908 + 0.0467112i \(0.985126\pi\)
\(458\) 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 \(-0.638546\pi\)
0.421640 0.906763i \(-0.361454\pi\)
\(462\) −7.99951 + 14.5230i −0.372171 + 0.675673i
\(463\) 17.4894 + 11.2397i 0.812800 + 0.522355i 0.879770 0.475400i \(-0.157697\pi\)
−0.0669700 + 0.997755i \(0.521333\pi\)
\(464\) −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 −0.653427 0.756990i \(-0.726669\pi\)
0.958957 0.283551i \(-0.0915125\pi\)
\(468\) 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 −0.865108 0.501586i \(-0.832750\pi\)
0.971378 0.237539i \(-0.0763408\pi\)
\(480\) −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 −0.853131 0.521697i \(-0.825299\pi\)
0.965552 0.260209i \(-0.0837916\pi\)
\(488\) 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 0.951012 0.309154i \(-0.100046\pi\)
−0.676281 + 0.736644i \(0.736409\pi\)
\(492\) −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 −0.671311 0.741176i \(-0.734269\pi\)
0.965453 0.260579i \(-0.0839133\pi\)
\(500\) −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 0.999460 0.0328684i \(-0.0104642\pi\)
0.385292 + 0.922795i \(0.374101\pi\)
\(504\) 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 −0.586621 0.809862i \(-0.699542\pi\)
0.980367 + 0.197180i \(0.0631783\pi\)
\(510\) −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 −0.684844 0.728690i \(-0.740130\pi\)
0.378345 + 0.925664i \(0.376493\pi\)
\(522\) 9.31215 0.631680i 0.407582 0.0276479i
\(523\) 3.00251 0.431696i 0.131291 0.0188767i −0.0763562 0.997081i \(-0.524329\pi\)
0.207647 + 0.978204i \(0.433420\pi\)
\(524\) −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 0.0106311 0.999943i \(-0.496616\pi\)
−0.988253 + 0.152830i \(0.951161\pi\)
\(542\) −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 0.903026 0.429585i \(-0.141340\pi\)
0.266698 + 0.963780i \(0.414067\pi\)
\(548\) 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 0.669501 0.742811i \(-0.266508\pi\)
−0.122949 + 0.992413i \(0.539235\pi\)
\(558\) 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 0.893996 0.448075i \(-0.147890\pi\)
−0.316285 + 0.948664i \(0.602436\pi\)
\(564\) 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 0.999237 + 0.0390484i \(0.0124327\pi\)
−0.947760 + 0.318984i \(0.896658\pi\)
\(570\) 0.0663452 0.882123i 0.00277890 0.0369481i
\(571\) −22.5086 3.23625i −0.941956 0.135433i −0.345806 0.938306i \(-0.612395\pi\)
−0.596150 + 0.802873i \(0.703304\pi\)
\(572\) −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 0.785602 0.618732i \(-0.212353\pi\)
−0.724237 + 0.689551i \(0.757808\pi\)
\(578\) −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 0.796832 0.604201i \(-0.206507\pi\)
−0.484650 + 0.874708i \(0.661053\pi\)
\(588\) −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 −0.941707 0.336434i \(-0.890779\pi\)
0.870947 + 0.491377i \(0.163506\pi\)
\(594\) −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 0.983651 0.180086i \(-0.0576378\pi\)
0.244811 + 0.969571i \(0.421274\pi\)
\(602\) −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 0.950868 + 0.309596i \(0.100194\pi\)
−0.388709 + 0.921360i \(0.627079\pi\)
\(608\) 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 −0.953509 0.301364i \(-0.902558\pi\)
0.121972 0.992534i \(-0.461078\pi\)
\(614\) −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 −0.959668 0.281136i \(-0.909289\pi\)
1.00000 0.000621840i \(0.000197938\pi\)
\(618\) 12.3237 + 2.72827i 0.495734 + 0.109747i
\(619\) 11.1982 9.70333i 0.450095 0.390010i −0.400105 0.916469i \(-0.631026\pi\)
0.850200 + 0.526460i \(0.176481\pi\)
\(620\) 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 −0.134548 0.990907i \(-0.542958\pi\)
0.422536 + 0.906346i \(0.361140\pi\)
\(632\) 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 0.944468 0.328604i \(-0.106578\pi\)
0.0934371 + 0.995625i \(0.470215\pi\)
\(642\) −1.61553 + 2.93298i −0.0637598 + 0.115755i
\(643\) 17.8392i 0.703510i −0.936092 0.351755i \(-0.885585\pi\)
0.936092 0.351755i \(-0.114415\pi\)
\(644\) −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 0.393663 0.919255i \(-0.371208\pi\)
−0.672650 + 0.739961i \(0.734844\pi\)
\(648\) −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 −0.386291 0.922377i \(-0.626244\pi\)
0.444119 + 0.895968i \(0.353517\pi\)
\(654\) −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 −0.975212 0.221273i \(-0.928979\pi\)
0.203840 0.979004i \(-0.434658\pi\)
\(660\) −16.7028 37.2959i −0.650154 1.45174i
\(661\) 15.0220 2.15984i 0.584289 0.0840081i 0.156170 0.987730i \(-0.450085\pi\)
0.428119 + 0.903722i \(0.359176\pi\)
\(662\) 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 0.987015 + 0.160626i \(0.0513514\pi\)
−0.901781 + 0.432194i \(0.857739\pi\)
\(674\) 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 −0.895198 0.445670i \(-0.852966\pi\)
0.512141 0.858901i \(-0.328853\pi\)
\(678\) 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 0.790519 + 0.612438i \(0.209811\pi\)
−0.996136 + 0.0878291i \(0.972007\pi\)
\(684\) 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 \(0.0739871\pi\)
−0.973108 + 0.230350i \(0.926013\pi\)
\(692\) −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 0.457279 0.889323i \(-0.348824\pi\)
−0.815193 + 0.579189i \(0.803369\pi\)
\(702\) 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 0.542016 0.840368i \(-0.317661\pi\)
0.283302 + 0.959031i \(0.408570\pi\)
\(710\) 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 0.966987 0.254827i \(-0.0820184\pi\)
−0.999610 + 0.0279274i \(0.991109\pi\)
\(720\) −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 0.751444 0.659797i \(-0.229358\pi\)
−0.990732 + 0.135828i \(0.956630\pi\)
\(728\) 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 0.264347 + 0.964428i \(0.414844\pi\)
−0.987088 + 0.160180i \(0.948793\pi\)
\(734\) −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 −0.518398 0.855139i \(-0.673471\pi\)
0.993213 + 0.116314i \(0.0371078\pi\)
\(740\) −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 0.502435 0.864615i \(-0.332438\pi\)
−0.0447707 + 0.998997i \(0.514256\pi\)
\(744\) 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 −0.642542 0.766250i \(-0.722120\pi\)
0.430084 + 0.902789i \(0.358484\pi\)
\(752\) −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 −0.577391 0.816468i \(-0.695929\pi\)
0.725986 + 0.687709i \(0.241384\pi\)
\(758\) 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 0.349025 0.937113i \(-0.386513\pi\)
−0.977246 + 0.212108i \(0.931967\pi\)
\(762\) −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 −0.357573 0.933885i \(-0.616396\pi\)
0.204087 + 0.978953i \(0.434577\pi\)
\(770\) −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 −0.523312 0.852141i \(-0.675304\pi\)
0.301308 +