Properties

Label 690.2.w.b.37.1
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.1
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.b.373.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-2.21203 - 0.326962i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(0.672927 + 1.80419i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(-2.21203 - 0.326962i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(0.672927 + 1.80419i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(1.78476 + 1.34708i) q^{10} +(1.31759 - 4.48731i) q^{11} +(0.479249 + 0.877679i) q^{12} +(-3.13276 - 1.16846i) q^{13} +(0.274041 - 1.90600i) q^{14} +(-2.18307 - 0.483934i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(5.05370 - 1.09936i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(-1.04118 + 0.669124i) q^{19} +(-0.920858 - 2.03765i) q^{20} +(0.542503 + 1.84760i) q^{21} +(-3.30696 + 3.30696i) q^{22} +(4.76203 - 0.568430i) q^{23} -1.00000i q^{24} +(4.78619 + 1.44650i) q^{25} +(2.18957 + 2.52690i) q^{26} +(0.977147 + 0.212565i) q^{27} +(-1.15397 + 1.54152i) q^{28} +(4.64515 - 7.22800i) q^{29} +(1.68411 + 1.47097i) q^{30} +(0.562596 - 0.649271i) q^{31} +(0.800541 - 0.599278i) q^{32} +(1.63436 - 4.38188i) q^{33} +(-4.96239 - 1.45709i) q^{34} +(-0.898636 - 4.21095i) q^{35} +(0.415415 + 0.909632i) q^{36} +(5.85598 + 7.82268i) q^{37} +(1.23450 - 0.0882930i) q^{38} +(-3.04142 - 1.38897i) q^{39} +(-0.168325 + 2.22972i) q^{40} +(-0.209772 - 1.45899i) q^{41} +(0.409315 - 1.88159i) q^{42} +(0.844906 - 11.8133i) q^{43} +(4.48731 - 1.31759i) q^{44} +(-2.14299 - 0.638440i) q^{45} +(-4.45195 - 1.78330i) q^{46} +(3.86757 + 3.86757i) q^{47} +(-0.479249 + 0.877679i) q^{48} +(2.48799 - 2.15585i) q^{49} +(-3.50750 - 3.56334i) q^{50} +(5.11925 - 0.736037i) q^{51} +(-0.710727 - 3.26716i) q^{52} +(-3.54250 + 1.32129i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(-4.38175 + 9.49529i) q^{55} +(1.75158 - 0.799922i) q^{56} +(-1.08626 + 0.593143i) q^{57} +(-7.54096 + 4.11768i) q^{58} +(-9.22216 + 4.21162i) q^{59} +(-0.773147 - 2.09815i) q^{60} +(-0.718957 - 0.622980i) q^{61} +(-0.804941 + 0.300227i) q^{62} +(0.409315 + 1.88159i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(6.54772 + 3.60896i) q^{65} +(-3.53445 + 3.06262i) q^{66} +(5.62182 - 10.2956i) q^{67} +(3.65708 + 3.65708i) q^{68} +(4.79044 - 0.227262i) q^{69} +(-1.22938 + 4.12653i) q^{70} +(-4.97783 + 1.46162i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(-0.322216 + 1.48120i) q^{73} +(-1.39066 - 9.67227i) q^{74} +(4.67080 + 1.78426i) q^{75} +(-1.12581 - 0.514138i) q^{76} +(8.98260 - 0.642448i) q^{77} +(2.00373 + 2.67667i) q^{78} +(0.824779 + 1.80601i) q^{79} +(1.21633 - 1.87631i) q^{80} +(0.959493 + 0.281733i) q^{81} +(-0.515109 + 1.38106i) q^{82} +(-5.47302 + 4.09705i) q^{83} +(-1.26100 + 1.45527i) q^{84} +(-11.5384 + 0.779463i) q^{85} +(-6.40308 + 9.96339i) q^{86} +(5.14895 - 6.87820i) q^{87} +(-4.56988 - 0.994116i) q^{88} +(-11.7688 - 13.5819i) q^{89} +(1.57488 + 1.58737i) q^{90} -6.43837i q^{91} +(3.05274 + 3.69875i) q^{92} +(0.607481 - 0.607481i) q^{93} +(-1.54096 - 5.24802i) q^{94} +(2.52190 - 1.13970i) q^{95} +(0.841254 - 0.540641i) q^{96} +(11.8155 + 8.84497i) q^{97} +(-3.21684 + 0.699781i) q^{98} +(1.94279 - 4.25413i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) 0.997452 + 0.0713392i 0.575879 + 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) −2.21203 0.326962i −0.989252 0.146222i
\(6\) −0.841254 0.540641i −0.343440 0.220716i
\(7\) 0.672927 + 1.80419i 0.254343 + 0.681919i 0.999881 + 0.0154556i \(0.00491987\pi\)
−0.745538 + 0.666463i \(0.767807\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) 1.78476 + 1.34708i 0.564391 + 0.425985i
\(11\) 1.31759 4.48731i 0.397270 1.35298i −0.481800 0.876281i \(-0.660017\pi\)
0.879069 0.476694i \(-0.158165\pi\)
\(12\) 0.479249 + 0.877679i 0.138347 + 0.253364i
\(13\) −3.13276 1.16846i −0.868870 0.324072i −0.124807 0.992181i \(-0.539831\pi\)
−0.744063 + 0.668109i \(0.767104\pi\)
\(14\) 0.274041 1.90600i 0.0732405 0.509399i
\(15\) −2.18307 0.483934i −0.563667 0.124951i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) 5.05370 1.09936i 1.22570 0.266635i 0.447290 0.894389i \(-0.352389\pi\)
0.778412 + 0.627754i \(0.216026\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) −1.04118 + 0.669124i −0.238863 + 0.153508i −0.654596 0.755979i \(-0.727161\pi\)
0.415734 + 0.909486i \(0.363525\pi\)
\(20\) −0.920858 2.03765i −0.205910 0.455633i
\(21\) 0.542503 + 1.84760i 0.118384 + 0.403179i
\(22\) −3.30696 + 3.30696i −0.705047 + 0.705047i
\(23\) 4.76203 0.568430i 0.992951 0.118526i
\(24\) 1.00000i 0.204124i
\(25\) 4.78619 + 1.44650i 0.957238 + 0.289301i
\(26\) 2.18957 + 2.52690i 0.429411 + 0.495566i
\(27\) 0.977147 + 0.212565i 0.188052 + 0.0409082i
\(28\) −1.15397 + 1.54152i −0.218079 + 0.291320i
\(29\) 4.64515 7.22800i 0.862583 1.34221i −0.0759846 0.997109i \(-0.524210\pi\)
0.938567 0.345096i \(-0.112154\pi\)
\(30\) 1.68411 + 1.47097i 0.307475 + 0.268562i
\(31\) 0.562596 0.649271i 0.101045 0.116612i −0.702974 0.711215i \(-0.748145\pi\)
0.804020 + 0.594603i \(0.202691\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) 1.63436 4.38188i 0.284505 0.762788i
\(34\) −4.96239 1.45709i −0.851044 0.249889i
\(35\) −0.898636 4.21095i −0.151897 0.711780i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) 5.85598 + 7.82268i 0.962717 + 1.28604i 0.958215 + 0.286050i \(0.0923424\pi\)
0.00450274 + 0.999990i \(0.498567\pi\)
\(38\) 1.23450 0.0882930i 0.200262 0.0143230i
\(39\) −3.04142 1.38897i −0.487017 0.222413i
\(40\) −0.168325 + 2.22972i −0.0266145 + 0.352550i
\(41\) −0.209772 1.45899i −0.0327608 0.227857i 0.966863 0.255297i \(-0.0821733\pi\)
−0.999623 + 0.0274407i \(0.991264\pi\)
\(42\) 0.409315 1.88159i 0.0631587 0.290336i
\(43\) 0.844906 11.8133i 0.128847 1.80152i −0.363998 0.931400i \(-0.618589\pi\)
0.492845 0.870117i \(-0.335957\pi\)
\(44\) 4.48731 1.31759i 0.676488 0.198635i
\(45\) −2.14299 0.638440i −0.319458 0.0951730i
\(46\) −4.45195 1.78330i −0.656404 0.262933i
\(47\) 3.86757 + 3.86757i 0.564144 + 0.564144i 0.930482 0.366338i \(-0.119389\pi\)
−0.366338 + 0.930482i \(0.619389\pi\)
\(48\) −0.479249 + 0.877679i −0.0691736 + 0.126682i
\(49\) 2.48799 2.15585i 0.355427 0.307979i
\(50\) −3.50750 3.56334i −0.496036 0.503933i
\(51\) 5.11925 0.736037i 0.716838 0.103066i
\(52\) −0.710727 3.26716i −0.0985601 0.453073i
\(53\) −3.54250 + 1.32129i −0.486600 + 0.181493i −0.580777 0.814063i \(-0.697251\pi\)
0.0941763 + 0.995556i \(0.469978\pi\)
\(54\) −0.755750 0.654861i −0.102844 0.0891153i
\(55\) −4.38175 + 9.49529i −0.590834 + 1.28034i
\(56\) 1.75158 0.799922i 0.234065 0.106894i
\(57\) −1.08626 + 0.593143i −0.143879 + 0.0785637i
\(58\) −7.54096 + 4.11768i −0.990177 + 0.540677i
\(59\) −9.22216 + 4.21162i −1.20062 + 0.548306i −0.912417 0.409262i \(-0.865786\pi\)
−0.288206 + 0.957568i \(0.593059\pi\)
\(60\) −0.773147 2.09815i −0.0998129 0.270870i
\(61\) −0.718957 0.622980i −0.0920530 0.0797644i 0.607619 0.794229i \(-0.292125\pi\)
−0.699672 + 0.714465i \(0.746670\pi\)
\(62\) −0.804941 + 0.300227i −0.102228 + 0.0381289i
\(63\) 0.409315 + 1.88159i 0.0515688 + 0.237058i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) 6.54772 + 3.60896i 0.812145 + 0.447637i
\(66\) −3.53445 + 3.06262i −0.435061 + 0.376983i
\(67\) 5.62182 10.2956i 0.686814 1.25781i −0.268803 0.963195i \(-0.586628\pi\)
0.955617 0.294611i \(-0.0951901\pi\)
\(68\) 3.65708 + 3.65708i 0.443486 + 0.443486i
\(69\) 4.79044 0.227262i 0.576702 0.0273592i
\(70\) −1.22938 + 4.12653i −0.146939 + 0.493215i
\(71\) −4.97783 + 1.46162i −0.590760 + 0.173463i −0.563430 0.826164i \(-0.690519\pi\)
−0.0273296 + 0.999626i \(0.508700\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) −0.322216 + 1.48120i −0.0377125 + 0.173362i −0.992151 0.125046i \(-0.960092\pi\)
0.954438 + 0.298408i \(0.0964556\pi\)
\(74\) −1.39066 9.67227i −0.161661 1.12438i
\(75\) 4.67080 + 1.78426i 0.539338 + 0.206029i
\(76\) −1.12581 0.514138i −0.129139 0.0589757i
\(77\) 8.98260 0.642448i 1.02366 0.0732137i
\(78\) 2.00373 + 2.67667i 0.226877 + 0.303073i
\(79\) 0.824779 + 1.80601i 0.0927949 + 0.203193i 0.950338 0.311220i \(-0.100737\pi\)
−0.857543 + 0.514412i \(0.828010\pi\)
\(80\) 1.21633 1.87631i 0.135990 0.209778i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) −0.515109 + 1.38106i −0.0568843 + 0.152513i
\(83\) −5.47302 + 4.09705i −0.600742 + 0.449710i −0.855865 0.517199i \(-0.826975\pi\)
0.255123 + 0.966909i \(0.417884\pi\)
\(84\) −1.26100 + 1.45527i −0.137586 + 0.158783i
\(85\) −11.5384 + 0.779463i −1.25152 + 0.0845446i
\(86\) −6.40308 + 9.96339i −0.690462 + 1.07438i
\(87\) 5.14895 6.87820i 0.552026 0.737420i
\(88\) −4.56988 0.994116i −0.487150 0.105973i
\(89\) −11.7688 13.5819i −1.24749 1.43968i −0.853939 0.520373i \(-0.825793\pi\)
−0.393549 0.919304i \(-0.628753\pi\)
\(90\) 1.57488 + 1.58737i 0.166007 + 0.167323i
\(91\) 6.43837i 0.674924i
\(92\) 3.05274 + 3.69875i 0.318270 + 0.385622i
\(93\) 0.607481 0.607481i 0.0629929 0.0629929i
\(94\) −1.54096 5.24802i −0.158938 0.541292i
\(95\) 2.52190 1.13970i 0.258741 0.116931i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) 11.8155 + 8.84497i 1.19968 + 0.898071i 0.996705 0.0811128i \(-0.0258474\pi\)
0.202977 + 0.979183i \(0.434938\pi\)
\(98\) −3.21684 + 0.699781i −0.324950 + 0.0706886i
\(99\) 1.94279 4.25413i 0.195258 0.427556i
\(100\) 1.37073 + 4.80844i 0.137073 + 0.480844i
\(101\) 1.26700 8.81216i 0.126071 0.876843i −0.824395 0.566015i \(-0.808485\pi\)
0.950466 0.310828i \(-0.100606\pi\)
\(102\) −4.84580 1.80739i −0.479806 0.178958i
\(103\) 5.67463 + 10.3923i 0.559138 + 1.02398i 0.992439 + 0.122735i \(0.0391667\pi\)
−0.433302 + 0.901249i \(0.642652\pi\)
\(104\) −0.941993 + 3.20813i −0.0923700 + 0.314583i
\(105\) −0.595941 4.26432i −0.0581579 0.416155i
\(106\) 3.74241 + 0.538077i 0.363495 + 0.0522626i
\(107\) −0.678912 9.49243i −0.0656329 0.917668i −0.918470 0.395491i \(-0.870575\pi\)
0.852837 0.522177i \(-0.174880\pi\)
\(108\) 0.349464 + 0.936950i 0.0336272 + 0.0901580i
\(109\) −4.91117 3.15622i −0.470405 0.302311i 0.283878 0.958860i \(-0.408379\pi\)
−0.754283 + 0.656550i \(0.772015\pi\)
\(110\) 8.39637 6.23387i 0.800563 0.594376i
\(111\) 5.28300 + 8.22051i 0.501440 + 0.780256i
\(112\) −1.92069 0.137370i −0.181488 0.0129803i
\(113\) 0.406605 + 0.222023i 0.0382502 + 0.0208862i 0.498260 0.867028i \(-0.333972\pi\)
−0.460010 + 0.887914i \(0.652154\pi\)
\(114\) 1.23765 0.115917
\(115\) −10.7196 0.299618i −0.999610 0.0279395i
\(116\) 8.59193 0.797741
\(117\) −2.93458 1.60240i −0.271302 0.148142i
\(118\) 10.1125 + 0.723261i 0.930932 + 0.0665816i
\(119\) 5.38423 + 8.37803i 0.493572 + 0.768012i
\(120\) −0.326962 + 2.21203i −0.0298475 + 0.201930i
\(121\) −9.14613 5.87786i −0.831467 0.534351i
\(122\) 0.332451 + 0.891336i 0.0300987 + 0.0806978i
\(123\) −0.105154 1.47024i −0.00948140 0.132567i
\(124\) 0.850364 + 0.122264i 0.0763649 + 0.0109796i
\(125\) −10.1143 4.76462i −0.904647 0.426161i
\(126\) 0.542503 1.84760i 0.0483300 0.164597i
\(127\) 1.57085 + 2.87679i 0.139390 + 0.255274i 0.938044 0.346517i \(-0.112636\pi\)
−0.798653 + 0.601791i \(0.794454\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) 1.68551 11.7230i 0.148401 1.03215i
\(130\) −4.01721 6.30550i −0.352332 0.553029i
\(131\) 0.0351975 0.0770717i 0.00307522 0.00673378i −0.908088 0.418779i \(-0.862458\pi\)
0.911163 + 0.412045i \(0.135185\pi\)
\(132\) 4.56988 0.994116i 0.397757 0.0865267i
\(133\) −1.90786 1.42821i −0.165433 0.123841i
\(134\) −9.86830 + 6.34197i −0.852491 + 0.547863i
\(135\) −2.09198 0.789692i −0.180049 0.0679659i
\(136\) −1.45709 4.96239i −0.124944 0.425522i
\(137\) −1.34493 + 1.34493i −0.114905 + 0.114905i −0.762222 0.647316i \(-0.775891\pi\)
0.647316 + 0.762222i \(0.275891\pi\)
\(138\) −4.31339 2.09635i −0.367180 0.178453i
\(139\) 8.41593i 0.713830i 0.934137 + 0.356915i \(0.116171\pi\)
−0.934137 + 0.356915i \(0.883829\pi\)
\(140\) 3.05663 3.03259i 0.258333 0.256301i
\(141\) 3.58181 + 4.13363i 0.301643 + 0.348114i
\(142\) 5.06942 + 1.10278i 0.425416 + 0.0925436i
\(143\) −9.37094 + 12.5181i −0.783637 + 1.04682i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) −12.6385 + 14.4698i −1.04957 + 1.20165i
\(146\) 0.992667 1.14560i 0.0821537 0.0948104i
\(147\) 2.63544 1.97287i 0.217368 0.162719i
\(148\) −3.41487 + 9.15562i −0.280701 + 0.752588i
\(149\) 2.76344 + 0.811418i 0.226389 + 0.0664739i 0.392960 0.919556i \(-0.371451\pi\)
−0.166570 + 0.986030i \(0.553269\pi\)
\(150\) −3.24436 3.80449i −0.264901 0.310635i
\(151\) 0.763947 + 1.67281i 0.0621691 + 0.136131i 0.938166 0.346185i \(-0.112523\pi\)
−0.875997 + 0.482316i \(0.839796\pi\)
\(152\) 0.741696 + 0.990790i 0.0601595 + 0.0803637i
\(153\) 5.15871 0.368959i 0.417057 0.0298285i
\(154\) −8.19173 3.74104i −0.660108 0.301461i
\(155\) −1.45677 + 1.25226i −0.117010 + 0.100584i
\(156\) −0.475840 3.30954i −0.0380977 0.264975i
\(157\) −3.26607 + 15.0139i −0.260661 + 1.19824i 0.641597 + 0.767042i \(0.278272\pi\)
−0.902258 + 0.431197i \(0.858091\pi\)
\(158\) 0.141639 1.98038i 0.0112682 0.157550i
\(159\) −3.62774 + 1.06520i −0.287698 + 0.0844758i
\(160\) −1.96677 + 1.06388i −0.155487 + 0.0841068i
\(161\) 4.23005 + 8.20907i 0.333375 + 0.646966i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) −10.9636 + 20.0783i −0.858732 + 1.57265i −0.0394773 + 0.999220i \(0.512569\pi\)
−0.819255 + 0.573430i \(0.805613\pi\)
\(164\) 1.11397 0.965263i 0.0869867 0.0753744i
\(165\) −5.04797 + 9.15850i −0.392984 + 0.712988i
\(166\) 6.76706 0.972957i 0.525226 0.0755161i
\(167\) 4.27935 + 19.6719i 0.331146 + 1.52226i 0.778354 + 0.627825i \(0.216055\pi\)
−0.447208 + 0.894430i \(0.647582\pi\)
\(168\) 1.80419 0.672927i 0.139196 0.0519174i
\(169\) −1.37587 1.19220i −0.105836 0.0917077i
\(170\) 10.5006 + 4.84565i 0.805357 + 0.371644i
\(171\) −1.12581 + 0.514138i −0.0860926 + 0.0393172i
\(172\) 10.3948 5.67599i 0.792596 0.432790i
\(173\) −18.1090 + 9.88826i −1.37680 + 0.751790i −0.985692 0.168554i \(-0.946090\pi\)
−0.391108 + 0.920345i \(0.627908\pi\)
\(174\) −7.81550 + 3.56922i −0.592491 + 0.270582i
\(175\) 0.610992 + 9.60858i 0.0461867 + 0.726340i
\(176\) 3.53445 + 3.06262i 0.266420 + 0.230854i
\(177\) −9.49911 + 3.54299i −0.713997 + 0.266307i
\(178\) 3.82010 + 17.5607i 0.286329 + 1.31623i
\(179\) 16.5282 2.37640i 1.23538 0.177621i 0.506485 0.862249i \(-0.330944\pi\)
0.728893 + 0.684628i \(0.240035\pi\)
\(180\) −0.621497 2.14796i −0.0463236 0.160100i
\(181\) −1.96355 + 1.70143i −0.145950 + 0.126466i −0.724776 0.688985i \(-0.758057\pi\)
0.578826 + 0.815451i \(0.303511\pi\)
\(182\) −3.08558 + 5.65082i −0.228718 + 0.418867i
\(183\) −0.672683 0.672683i −0.0497261 0.0497261i
\(184\) −0.906700 4.70934i −0.0668428 0.347177i
\(185\) −10.3959 19.2187i −0.764323 1.41299i
\(186\) −0.824308 + 0.242039i −0.0604412 + 0.0177471i
\(187\) 1.72553 24.1260i 0.126183 1.76427i
\(188\) −1.16264 + 5.34458i −0.0847944 + 0.389794i
\(189\) 0.274041 + 1.90600i 0.0199335 + 0.138641i
\(190\) −2.75962 0.208327i −0.200204 0.0151136i
\(191\) −5.67537 2.59185i −0.410655 0.187540i 0.199366 0.979925i \(-0.436112\pi\)
−0.610021 + 0.792385i \(0.708839\pi\)
\(192\) −0.997452 + 0.0713392i −0.0719849 + 0.00514846i
\(193\) 5.10083 + 6.81391i 0.367166 + 0.490476i 0.945636 0.325227i \(-0.105441\pi\)
−0.578470 + 0.815704i \(0.696350\pi\)
\(194\) −6.13127 13.4256i −0.440200 0.963903i
\(195\) 6.27358 + 4.06688i 0.449260 + 0.291235i
\(196\) 3.15873 + 0.927485i 0.225623 + 0.0662490i
\(197\) −8.29745 + 22.2463i −0.591168 + 1.58498i 0.204247 + 0.978919i \(0.434525\pi\)
−0.795415 + 0.606065i \(0.792747\pi\)
\(198\) −3.74393 + 2.80267i −0.266070 + 0.199177i
\(199\) 10.9173 12.5992i 0.773907 0.893136i −0.222747 0.974876i \(-0.571502\pi\)
0.996654 + 0.0817405i \(0.0260479\pi\)
\(200\) 1.10138 4.87719i 0.0778790 0.344869i
\(201\) 6.34197 9.86830i 0.447328 0.696056i
\(202\) −5.33524 + 7.12704i −0.375386 + 0.501457i
\(203\) 16.1665 + 3.51681i 1.13467 + 0.246832i
\(204\) 3.38687 + 3.90866i 0.237128 + 0.273661i
\(205\) −0.0130142 + 3.29593i −0.000908952 + 0.230198i
\(206\) 11.8407i 0.824978i
\(207\) 4.79445 + 0.115063i 0.333237 + 0.00799744i
\(208\) 2.36426 2.36426i 0.163932 0.163932i
\(209\) 1.63072 + 5.55372i 0.112799 + 0.384159i
\(210\) −1.52063 + 4.02831i −0.104933 + 0.277980i
\(211\) −12.5855 + 8.08822i −0.866423 + 0.556816i −0.896657 0.442727i \(-0.854011\pi\)
0.0302339 + 0.999543i \(0.490375\pi\)
\(212\) −3.02676 2.26580i −0.207879 0.155616i
\(213\) −5.06942 + 1.10278i −0.347351 + 0.0755615i
\(214\) −3.95337 + 8.65667i −0.270247 + 0.591758i
\(215\) −5.73148 + 25.8552i −0.390884 + 1.76331i
\(216\) 0.142315 0.989821i 0.00968330 0.0673488i
\(217\) 1.54999 + 0.578117i 0.105220 + 0.0392451i
\(218\) 2.79782 + 5.12382i 0.189492 + 0.347029i
\(219\) −0.427063 + 1.45444i −0.0288582 + 0.0982821i
\(220\) −10.3569 + 1.44738i −0.698262 + 0.0975823i
\(221\) −17.1166 2.46099i −1.15139 0.165544i
\(222\) −0.697107 9.74684i −0.0467868 0.654165i
\(223\) −3.53332 9.47320i −0.236609 0.634372i 0.763324 0.646016i \(-0.223566\pi\)
−0.999932 + 0.0116441i \(0.996293\pi\)
\(224\) 1.61991 + 1.04106i 0.108235 + 0.0695585i
\(225\) 4.53162 + 2.11293i 0.302108 + 0.140862i
\(226\) −0.250464 0.389730i −0.0166606 0.0259244i
\(227\) 25.2604 + 1.80666i 1.67659 + 0.119912i 0.876957 0.480570i \(-0.159570\pi\)
0.799638 + 0.600482i \(0.205025\pi\)
\(228\) −1.08626 0.593143i −0.0719393 0.0392818i
\(229\) −2.49271 −0.164723 −0.0823616 0.996603i \(-0.526246\pi\)
−0.0823616 + 0.996603i \(0.526246\pi\)
\(230\) 9.26479 + 5.40033i 0.610902 + 0.356088i
\(231\) 9.00554 0.592521
\(232\) −7.54096 4.11768i −0.495088 0.270339i
\(233\) −15.0189 1.07417i −0.983919 0.0703713i −0.429901 0.902876i \(-0.641452\pi\)
−0.554018 + 0.832505i \(0.686906\pi\)
\(234\) 1.80767 + 2.81279i 0.118171 + 0.183878i
\(235\) −7.29066 9.81976i −0.475590 0.640570i
\(236\) −8.52891 5.48120i −0.555185 0.356796i
\(237\) 0.693838 + 1.86025i 0.0450696 + 0.120836i
\(238\) −0.710465 9.93360i −0.0460526 0.643900i
\(239\) 15.8835 + 2.28370i 1.02742 + 0.147720i 0.635356 0.772220i \(-0.280853\pi\)
0.392060 + 0.919940i \(0.371763\pi\)
\(240\) 1.34708 1.78476i 0.0869539 0.115206i
\(241\) 2.05802 7.00896i 0.132569 0.451487i −0.866275 0.499568i \(-0.833492\pi\)
0.998843 + 0.0480806i \(0.0153104\pi\)
\(242\) 5.21041 + 9.54215i 0.334938 + 0.613393i
\(243\) 0.936950 + 0.349464i 0.0601054 + 0.0224181i
\(244\) 0.135386 0.941634i 0.00866723 0.0602819i
\(245\) −6.20839 + 3.95534i −0.396640 + 0.252697i
\(246\) −0.612321 + 1.34080i −0.0390401 + 0.0854860i
\(247\) 4.04360 0.879631i 0.257288 0.0559696i
\(248\) −0.687751 0.514844i −0.0436723 0.0326926i
\(249\) −5.75136 + 3.69617i −0.364477 + 0.234235i
\(250\) 6.59364 + 9.02906i 0.417018 + 0.571048i
\(251\) 1.53925 + 5.24219i 0.0971563 + 0.330884i 0.993700 0.112071i \(-0.0357484\pi\)
−0.896544 + 0.442955i \(0.853930\pi\)
\(252\) −1.36160 + 1.36160i −0.0857729 + 0.0857729i
\(253\) 3.72369 22.1177i 0.234107 1.39053i
\(254\) 3.27773i 0.205663i
\(255\) −11.5646 0.0456636i −0.724204 0.00285957i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −24.2315 5.27124i −1.51152 0.328811i −0.621020 0.783795i \(-0.713281\pi\)
−0.890500 + 0.454984i \(0.849645\pi\)
\(258\) −7.09755 + 9.48122i −0.441874 + 0.590275i
\(259\) −10.1729 + 15.8294i −0.632115 + 0.983590i
\(260\) 0.503914 + 7.45945i 0.0312514 + 0.462615i
\(261\) 5.62652 6.49335i 0.348273 0.401928i
\(262\) −0.0678286 + 0.0507759i −0.00419046 + 0.00313694i
\(263\) 6.69063 17.9383i 0.412562 1.10612i −0.550025 0.835148i \(-0.685382\pi\)
0.962587 0.270973i \(-0.0873453\pi\)
\(264\) −4.48731 1.31759i −0.276175 0.0810923i
\(265\) 8.26815 1.76446i 0.507908 0.108390i
\(266\) 0.990023 + 2.16785i 0.0607022 + 0.132919i
\(267\) −10.7699 14.3869i −0.659105 0.880461i
\(268\) 11.7006 0.836842i 0.714727 0.0511183i
\(269\) −27.3302 12.4813i −1.66635 0.760998i −0.999880 0.0154701i \(-0.995076\pi\)
−0.666474 0.745528i \(-0.732197\pi\)
\(270\) 1.45763 + 1.69568i 0.0887085 + 0.103196i
\(271\) 2.91362 + 20.2647i 0.176990 + 1.23099i 0.863680 + 0.504041i \(0.168154\pi\)
−0.686690 + 0.726950i \(0.740937\pi\)
\(272\) −1.09936 + 5.05370i −0.0666588 + 0.306425i
\(273\) 0.459308 6.42196i 0.0277986 0.388675i
\(274\) 1.82498 0.535862i 0.110251 0.0323726i
\(275\) 12.7972 19.5712i 0.771699 1.18019i
\(276\) 2.78109 + 3.90711i 0.167402 + 0.235180i
\(277\) −9.26656 9.26656i −0.556773 0.556773i 0.371614 0.928387i \(-0.378805\pi\)
−0.928387 + 0.371614i \(0.878805\pi\)
\(278\) 4.03333 7.38649i 0.241903 0.443012i
\(279\) 0.649271 0.562596i 0.0388708 0.0336817i
\(280\) −4.13611 + 1.19675i −0.247180 + 0.0715196i
\(281\) 14.0330 2.01764i 0.837139 0.120362i 0.289605 0.957146i \(-0.406476\pi\)
0.547533 + 0.836784i \(0.315567\pi\)
\(282\) −1.16264 5.34458i −0.0692343 0.318265i
\(283\) 20.9528 7.81497i 1.24551 0.464552i 0.361656 0.932312i \(-0.382211\pi\)
0.883856 + 0.467760i \(0.154939\pi\)
\(284\) −3.92081 3.39740i −0.232657 0.201599i
\(285\) 2.59678 0.956886i 0.153820 0.0566810i
\(286\) 14.2240 6.49587i 0.841081 0.384109i
\(287\) 2.49114 1.36026i 0.147047 0.0802938i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) 8.86752 4.04966i 0.521619 0.238215i
\(290\) 18.0272 6.64283i 1.05859 0.390080i
\(291\) 11.1544 + 9.66534i 0.653883 + 0.566592i
\(292\) −1.42027 + 0.529733i −0.0831150 + 0.0310003i
\(293\) −4.28174 19.6828i −0.250142 1.14988i −0.915171 0.403067i \(-0.867944\pi\)
0.665029 0.746818i \(-0.268419\pi\)
\(294\) −3.25857 + 0.468511i −0.190044 + 0.0273241i
\(295\) 21.7768 6.30094i 1.26789 0.366855i
\(296\) 7.38498 6.39912i 0.429243 0.371942i
\(297\) 2.24133 4.10469i 0.130055 0.238178i
\(298\) −2.03654 2.03654i −0.117973 0.117973i
\(299\) −15.5825 3.78347i −0.901157 0.218804i
\(300\) 1.02421 + 4.89398i 0.0591328 + 0.282554i
\(301\) 21.8820 6.42514i 1.26126 0.370339i
\(302\) 0.131192 1.83431i 0.00754928 0.105553i
\(303\) 1.89242 8.69932i 0.108717 0.499763i
\(304\) −0.176136 1.22505i −0.0101021 0.0702616i
\(305\) 1.38667 + 1.61313i 0.0794003 + 0.0923673i
\(306\) −4.70452 2.14848i −0.268939 0.122821i
\(307\) −9.08427 + 0.649719i −0.518466 + 0.0370814i −0.328121 0.944636i \(-0.606415\pi\)
−0.190345 + 0.981717i \(0.560961\pi\)
\(308\) 5.39682 + 7.20931i 0.307512 + 0.410788i
\(309\) 4.91879 + 10.7707i 0.279820 + 0.612721i
\(310\) 1.87872 0.400928i 0.106704 0.0227712i
\(311\) −11.7546 3.45146i −0.666543 0.195715i −0.0690797 0.997611i \(-0.522006\pi\)
−0.597463 + 0.801897i \(0.703824\pi\)
\(312\) −1.16846 + 3.13276i −0.0661509 + 0.177357i
\(313\) 17.0236 12.7437i 0.962229 0.720315i 0.00213615 0.999998i \(-0.499320\pi\)
0.960093 + 0.279682i \(0.0902291\pi\)
\(314\) 10.0620 11.6121i 0.567829 0.655310i
\(315\) −0.290209 4.29597i −0.0163514 0.242051i
\(316\) −1.07341 + 1.67025i −0.0603839 + 0.0939591i
\(317\) 3.92123 5.23815i 0.220238 0.294204i −0.676791 0.736175i \(-0.736630\pi\)
0.897029 + 0.441972i \(0.145721\pi\)
\(318\) 3.69448 + 0.803686i 0.207176 + 0.0450685i
\(319\) −26.3139 30.3678i −1.47329 1.70027i
\(320\) 2.23605 + 0.00882919i 0.124999 + 0.000493567i
\(321\) 9.51667i 0.531169i
\(322\) 0.221565 9.23218i 0.0123473 0.514489i
\(323\) −4.52619 + 4.52619i −0.251844 + 0.251844i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) −13.3038 10.1240i −0.737962 0.561579i
\(326\) 19.2450 12.3680i 1.06588 0.685000i
\(327\) −4.67349 3.49853i −0.258445 0.193469i
\(328\) −1.44031 + 0.313321i −0.0795279 + 0.0173002i
\(329\) −4.37523 + 9.58042i −0.241214 + 0.528186i
\(330\) 8.81970 5.61899i 0.485508 0.309315i
\(331\) 0.699572 4.86563i 0.0384519 0.267439i −0.961521 0.274730i \(-0.911412\pi\)
0.999973 + 0.00729064i \(0.00232070\pi\)
\(332\) −6.40560 2.38916i −0.351553 0.131122i
\(333\) 4.68309 + 8.57644i 0.256632 + 0.469986i
\(334\) 5.67183 19.3165i 0.310349 1.05695i
\(335\) −15.8019 + 20.9361i −0.863351 + 1.14386i
\(336\) −1.90600 0.274041i −0.103981 0.0149502i
\(337\) −2.39104 33.4311i −0.130248 1.82111i −0.472311 0.881432i \(-0.656580\pi\)
0.342063 0.939677i \(-0.388874\pi\)
\(338\) 0.636213 + 1.70575i 0.0346054 + 0.0927808i
\(339\) 0.389730 + 0.250464i 0.0211672 + 0.0136033i
\(340\) −6.89386 9.28531i −0.373872 0.503567i
\(341\) −2.17221 3.38002i −0.117632 0.183038i
\(342\) 1.23450 + 0.0882930i 0.0667539 + 0.00477434i
\(343\) 17.3942 + 9.49794i 0.939198 + 0.512841i
\(344\) −11.8435 −0.638559
\(345\) −10.6709 1.06358i −0.574504 0.0572614i
\(346\) 20.6328 1.10923
\(347\) 19.2269 + 10.4987i 1.03215 + 0.563599i 0.903722 0.428120i \(-0.140824\pi\)
0.128432 + 0.991718i \(0.459006\pi\)
\(348\) 8.57004 + 0.612942i 0.459403 + 0.0328571i
\(349\) 14.3530 + 22.3337i 0.768299 + 1.19550i 0.976099 + 0.217326i \(0.0697334\pi\)
−0.207800 + 0.978171i \(0.566630\pi\)
\(350\) 4.06865 8.72606i 0.217478 0.466428i
\(351\) −2.81279 1.80767i −0.150136 0.0964863i
\(352\) −1.63436 4.38188i −0.0871116 0.233555i
\(353\) 0.923601 + 12.9136i 0.0491583 + 0.687323i 0.960959 + 0.276690i \(0.0892376\pi\)
−0.911801 + 0.410633i \(0.865308\pi\)
\(354\) 10.0351 + 1.44284i 0.533362 + 0.0766859i
\(355\) 11.4890 1.60560i 0.609774 0.0852162i
\(356\) 5.06313 17.2434i 0.268345 0.913901i
\(357\) 4.77283 + 8.74079i 0.252605 + 0.462611i
\(358\) −15.6454 5.83542i −0.826883 0.308412i
\(359\) −1.21970 + 8.48323i −0.0643735 + 0.447728i 0.931987 + 0.362491i \(0.118074\pi\)
−0.996361 + 0.0852366i \(0.972835\pi\)
\(360\) −0.483934 + 2.18307i −0.0255056 + 0.115058i
\(361\) −7.25656 + 15.8897i −0.381924 + 0.836298i
\(362\) 2.53878 0.552278i 0.133435 0.0290271i
\(363\) −8.70351 6.51536i −0.456816 0.341968i
\(364\) 5.41630 3.48084i 0.283891 0.182446i
\(365\) 1.19705 3.17112i 0.0626565 0.165984i
\(366\) 0.268017 + 0.912782i 0.0140095 + 0.0477119i
\(367\) −22.3382 + 22.3382i −1.16605 + 1.16605i −0.182917 + 0.983128i \(0.558554\pi\)
−0.983128 + 0.182917i \(0.941446\pi\)
\(368\) −1.46116 + 4.56783i −0.0761680 + 0.238114i
\(369\) 1.47400i 0.0767332i
\(370\) −0.0862765 + 21.8501i −0.00448530 + 1.13593i
\(371\) −4.76769 5.50221i −0.247526 0.285661i
\(372\) 0.839475 + 0.182617i 0.0435247 + 0.00946823i
\(373\) 19.3102 25.7954i 0.999845 1.33564i 0.0584641 0.998290i \(-0.481380\pi\)
0.941381 0.337347i \(-0.109529\pi\)
\(374\) −13.0768 + 20.3480i −0.676187 + 1.05217i
\(375\) −9.74859 5.47403i −0.503415 0.282677i
\(376\) 3.58181 4.13363i 0.184718 0.213176i
\(377\) −22.9977 + 17.2159i −1.18444 + 0.886663i
\(378\) 0.672927 1.80419i 0.0346116 0.0927974i
\(379\) 30.6864 + 9.01033i 1.57625 + 0.462830i 0.948814 0.315836i \(-0.102285\pi\)
0.627439 + 0.778666i \(0.284103\pi\)
\(380\) 2.32222 + 1.50539i 0.119127 + 0.0772248i
\(381\) 1.36162 + 2.98153i 0.0697578 + 0.152748i
\(382\) 3.73901 + 4.99473i 0.191304 + 0.255553i
\(383\) 22.0721 1.57863i 1.12783 0.0806641i 0.505072 0.863077i \(-0.331466\pi\)
0.622760 + 0.782413i \(0.286011\pi\)
\(384\) 0.909632 + 0.415415i 0.0464195 + 0.0211991i
\(385\) −20.0799 1.51586i −1.02336 0.0772551i
\(386\) −1.21133 8.42500i −0.0616552 0.428821i
\(387\) 2.51752 11.5728i 0.127973 0.588281i
\(388\) −1.05292 + 14.7218i −0.0534540 + 0.747385i
\(389\) 1.88848 0.554508i 0.0957497 0.0281147i −0.233507 0.972355i \(-0.575020\pi\)
0.329257 + 0.944241i \(0.393202\pi\)
\(390\) −3.55714 6.57602i −0.180123 0.332990i
\(391\) 23.4409 8.10787i 1.18546 0.410033i
\(392\) −2.32785 2.32785i −0.117574 0.117574i
\(393\) 0.0406060 0.0743644i 0.00204830 0.00375119i
\(394\) 17.9440 15.5486i 0.904006 0.783326i
\(395\) −1.23394 4.26464i −0.0620863 0.214577i
\(396\) 4.62915 0.665571i 0.232624 0.0334462i
\(397\) −1.78908 8.22426i −0.0897912 0.412764i 0.910208 0.414152i \(-0.135922\pi\)
−0.999999 + 0.00138821i \(0.999558\pi\)
\(398\) −15.6200 + 5.82598i −0.782962 + 0.292030i
\(399\) −1.80111 1.56067i −0.0901685 0.0781314i
\(400\) −3.30404 + 3.75277i −0.165202 + 0.187639i
\(401\) −20.8422 + 9.51832i −1.04081 + 0.475322i −0.861121 0.508401i \(-0.830237\pi\)
−0.179690 + 0.983723i \(0.557510\pi\)
\(402\) −10.2956 + 5.62182i −0.513497 + 0.280391i
\(403\) −2.52112 + 1.37664i −0.125586 + 0.0685752i
\(404\) 8.09825 3.69835i 0.402903 0.184000i
\(405\) −2.03032 0.936920i −0.100887 0.0465559i
\(406\) −12.5036 10.8344i −0.620542 0.537703i
\(407\) 42.8186 15.9705i 2.12244 0.791629i
\(408\) −1.09936 5.05370i −0.0544267 0.250195i
\(409\) −22.9030 + 3.29295i −1.13248 + 0.162826i −0.682968 0.730448i \(-0.739311\pi\)
−0.449512 + 0.893274i \(0.648402\pi\)
\(410\) 1.59099 2.88653i 0.0785736 0.142556i
\(411\) −1.43745 + 1.24556i −0.0709043 + 0.0614390i
\(412\) −5.67463 + 10.3923i −0.279569 + 0.511992i
\(413\) −13.8044 13.8044i −0.679270 0.679270i
\(414\) −4.15285 2.39872i −0.204101 0.117891i
\(415\) 13.4461 7.27335i 0.660043 0.357035i
\(416\) −3.20813 + 0.941993i −0.157292 + 0.0461850i
\(417\) −0.600386 + 8.39449i −0.0294010 + 0.411080i
\(418\) 1.23037 5.65591i 0.0601792 0.276639i
\(419\) 2.02897 + 14.1118i 0.0991219 + 0.689408i 0.977422 + 0.211298i \(0.0677690\pi\)
−0.878300 + 0.478110i \(0.841322\pi\)
\(420\) 3.26519 2.80681i 0.159325 0.136958i
\(421\) 3.93299 + 1.79614i 0.191682 + 0.0875383i 0.508944 0.860800i \(-0.330036\pi\)
−0.317262 + 0.948338i \(0.602763\pi\)
\(422\) 14.9223 1.06727i 0.726407 0.0519536i
\(423\) 3.27780 + 4.37862i 0.159372 + 0.212896i
\(424\) 1.57064 + 3.43922i 0.0762769 + 0.167023i
\(425\) 25.7782 + 2.04843i 1.25043 + 0.0993633i
\(426\) 4.97783 + 1.46162i 0.241177 + 0.0708158i
\(427\) 0.640167 1.71635i 0.0309798 0.0830602i
\(428\) 7.61849 5.70313i 0.368254 0.275671i
\(429\) −10.2401 + 11.8177i −0.494396 + 0.570564i
\(430\) 17.4215 19.9458i 0.840139 0.961872i
\(431\) −20.9792 + 32.6442i −1.01053 + 1.57242i −0.205960 + 0.978560i \(0.566032\pi\)
−0.804571 + 0.593856i \(0.797605\pi\)
\(432\) −0.599278 + 0.800541i −0.0288328 + 0.0385161i
\(433\) −1.94439 0.422976i −0.0934413 0.0203269i 0.165602 0.986193i \(-0.447043\pi\)
−0.259043 + 0.965866i \(0.583407\pi\)
\(434\) −1.08333 1.25023i −0.0520017 0.0600131i
\(435\) −13.6386 + 13.5313i −0.653920 + 0.648776i
\(436\) 5.83792i 0.279586i
\(437\) −4.57776 + 3.77822i −0.218984 + 0.180737i
\(438\) 1.07186 1.07186i 0.0512156 0.0512156i
\(439\) −4.95664 16.8808i −0.236568 0.805675i −0.989116 0.147138i \(-0.952994\pi\)
0.752548 0.658537i \(-0.228824\pi\)
\(440\) 9.78368 + 3.69320i 0.466419 + 0.176066i
\(441\) 2.76947 1.77983i 0.131880 0.0847539i
\(442\) 13.8434 + 10.3631i 0.658465 + 0.492920i
\(443\) −32.3599 + 7.03948i −1.53747 + 0.334456i −0.899954 0.435984i \(-0.856400\pi\)
−0.637513 + 0.770440i \(0.720037\pi\)
\(444\) −4.05932 + 8.88868i −0.192647 + 0.421838i
\(445\) 21.5922 + 33.8915i 1.02357 + 1.60661i
\(446\) −1.43890 + 10.0078i −0.0681339 + 0.473881i
\(447\) 2.69851 + 1.00649i 0.127635 + 0.0476054i
\(448\) −0.922840 1.69006i −0.0436001 0.0798476i
\(449\) 9.90073 33.7188i 0.467244 1.59129i −0.302641 0.953105i \(-0.597868\pi\)
0.769885 0.638183i \(-0.220314\pi\)
\(450\) −2.96469 4.02624i −0.139757 0.189799i
\(451\) −6.82336 0.981051i −0.321299 0.0461959i
\(452\) 0.0330495 + 0.462092i 0.00155452 + 0.0217350i
\(453\) 0.642663 + 1.72305i 0.0301950 + 0.0809558i
\(454\) −21.3047 13.6917i −0.999880 0.642584i
\(455\) −2.10510 + 14.2419i −0.0986888 + 0.667670i
\(456\) 0.669124 + 1.04118i 0.0313346 + 0.0487576i
\(457\) −18.3283 1.31086i −0.857361 0.0613197i −0.364266 0.931295i \(-0.618680\pi\)
−0.493095 + 0.869975i \(0.664135\pi\)
\(458\) 2.18780 + 1.19463i 0.102229 + 0.0558214i
\(459\) 5.17189 0.241403
\(460\) −5.54341 9.17990i −0.258463 0.428015i
\(461\) 19.2241 0.895354 0.447677 0.894195i \(-0.352251\pi\)
0.447677 + 0.894195i \(0.352251\pi\)
\(462\) −7.90397 4.31590i −0.367726 0.200794i
\(463\) 16.5366 + 1.18272i 0.768523 + 0.0549658i 0.450094 0.892981i \(-0.351390\pi\)
0.318429 + 0.947947i \(0.396845\pi\)
\(464\) 4.64515 + 7.22800i 0.215646 + 0.335551i
\(465\) −1.54239 + 1.14515i −0.0715267 + 0.0531048i
\(466\) 12.6670 + 8.14056i 0.586786 + 0.377104i
\(467\) 10.3979 + 27.8778i 0.481157 + 1.29003i 0.920158 + 0.391546i \(0.128060\pi\)
−0.439001 + 0.898486i \(0.644668\pi\)
\(468\) −0.238528 3.33505i −0.0110259 0.154163i
\(469\) 22.3582 + 3.21463i 1.03241 + 0.148438i
\(470\) 1.69275 + 12.1126i 0.0780805 + 0.558714i
\(471\) −4.32883 + 14.7426i −0.199462 + 0.679305i
\(472\) 4.85879 + 8.89821i 0.223644 + 0.409573i
\(473\) −51.8969 19.3565i −2.38622 0.890014i
\(474\) 0.282557 1.96523i 0.0129783 0.0902658i
\(475\) −5.95117 + 1.69649i −0.273058 + 0.0778402i
\(476\) −4.13711 + 9.05900i −0.189624 + 0.415219i
\(477\) −3.69448 + 0.803686i −0.169159 + 0.0367982i
\(478\) −12.8461 9.61649i −0.587568 0.439848i
\(479\) 15.6884 10.0823i 0.716822 0.460673i −0.130708 0.991421i \(-0.541725\pi\)
0.847530 + 0.530748i \(0.178089\pi\)
\(480\) −2.03765 + 0.920858i −0.0930056 + 0.0420312i
\(481\) −9.20490 31.3490i −0.419707 1.42939i
\(482\) −5.16532 + 5.16532i −0.235274 + 0.235274i
\(483\) 3.63364 + 8.48993i 0.165336 + 0.386305i
\(484\) 10.8720i 0.494183i
\(485\) −23.2443 23.4286i −1.05547 1.06384i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) −31.9635 6.95323i −1.44840 0.315081i −0.581495 0.813550i \(-0.697532\pi\)
−0.866907 + 0.498469i \(0.833896\pi\)
\(488\) −0.570103 + 0.761568i −0.0258073 + 0.0344746i
\(489\) −12.3680 + 19.2450i −0.559300 + 0.870287i
\(490\) 7.34457 0.496153i 0.331794 0.0224139i
\(491\) −1.05111 + 1.21304i −0.0474357 + 0.0547438i −0.778972 0.627059i \(-0.784258\pi\)
0.731536 + 0.681803i \(0.238804\pi\)
\(492\) 1.18000 0.883334i 0.0531983 0.0398238i
\(493\) 15.5290 41.6348i 0.699390 1.87514i
\(494\) −3.97055 1.16586i −0.178643 0.0524544i
\(495\) −5.68847 + 8.77505i −0.255678 + 0.394409i
\(496\) 0.356886 + 0.781472i 0.0160247 + 0.0350891i
\(497\) −5.98676 7.99737i −0.268543 0.358731i
\(498\) 6.81923 0.487721i 0.305577 0.0218553i
\(499\) 11.5710 + 5.28429i 0.517988 + 0.236557i 0.657215 0.753703i \(-0.271734\pi\)
−0.139227 + 0.990261i \(0.544462\pi\)
\(500\) −1.45993 11.0846i −0.0652900 0.495719i
\(501\) 2.86508 + 19.9270i 0.128002 + 0.890274i
\(502\) 1.16135 5.33864i 0.0518336 0.238275i
\(503\) −1.67227 + 23.3814i −0.0745629 + 1.04253i 0.813128 + 0.582085i \(0.197763\pi\)
−0.887691 + 0.460441i \(0.847691\pi\)
\(504\) 1.84760 0.542503i 0.0822985 0.0241650i
\(505\) −5.68389 + 19.0785i −0.252930 + 0.848984i
\(506\) −13.8681 + 17.6276i −0.616511 + 0.783644i
\(507\) −1.28732 1.28732i −0.0571717 0.0571717i
\(508\) −1.57085 + 2.87679i −0.0696951 + 0.127637i
\(509\) 15.7687 13.6636i 0.698935 0.605630i −0.231175 0.972912i \(-0.574257\pi\)
0.930110 + 0.367282i \(0.119712\pi\)
\(510\) 10.1281 + 5.58241i 0.448481 + 0.247193i
\(511\) −2.88920 + 0.415404i −0.127810 + 0.0183764i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) −1.15962 + 0.432514i −0.0511983 + 0.0190960i
\(514\) 18.7412 + 16.2394i 0.826641 + 0.716288i
\(515\) −9.15458 24.8435i −0.403399 1.09474i
\(516\) 10.7732 4.91997i 0.474265 0.216590i
\(517\) 22.4509 12.2591i 0.987390 0.539156i
\(518\) 16.5148 9.01775i 0.725617 0.396217i
\(519\) −18.7683 + 8.57118i −0.823836 + 0.376233i
\(520\) 3.13266 6.78850i 0.137376 0.297695i
\(521\) 4.40597 + 3.81779i 0.193029 + 0.167261i 0.746013 0.665931i \(-0.231966\pi\)
−0.552984 + 0.833192i \(0.686511\pi\)
\(522\) −8.05021 + 3.00257i −0.352348 + 0.131419i
\(523\) −2.66596 12.2552i −0.116574 0.535884i −0.997980 0.0635243i \(-0.979766\pi\)
0.881406 0.472360i \(-0.156598\pi\)
\(524\) 0.0838660 0.0120581i 0.00366370 0.000526761i
\(525\) −0.0760323 + 9.62768i −0.00331832 + 0.420187i
\(526\) −14.4691 + 12.5376i −0.630883 + 0.546664i
\(527\) 2.12941 3.89972i 0.0927584 0.169874i
\(528\) 3.30696 + 3.30696i 0.143917 + 0.143917i
\(529\) 22.3538 5.41375i 0.971903 0.235381i
\(530\) −8.10240 2.41387i −0.351946 0.104852i
\(531\) −9.72767 + 2.85630i −0.422145 + 0.123953i
\(532\) 0.170017 2.37714i 0.00737115 0.103062i
\(533\) −1.04761 + 4.81578i −0.0453770 + 0.208595i
\(534\) 2.55760 + 17.7885i 0.110678 + 0.769783i
\(535\) −1.60189 + 21.2196i −0.0692558 + 0.917401i
\(536\) −10.6704 4.87301i −0.460892 0.210482i
\(537\) 16.6556 1.19124i 0.718744 0.0514056i
\(538\) 18.0055 + 24.0526i 0.776273 + 1.03698i
\(539\) −6.39583 14.0049i −0.275488 0.603234i
\(540\) −0.466679 2.18683i −0.0200827 0.0941060i
\(541\) −21.5164 6.31778i −0.925061 0.271622i −0.215694 0.976461i \(-0.569201\pi\)
−0.709368 + 0.704839i \(0.751019\pi\)
\(542\) 7.15460 19.1822i 0.307316 0.823947i
\(543\) −2.07993 + 1.55702i −0.0892583 + 0.0668180i
\(544\) 3.38687 3.90866i 0.145211 0.167582i
\(545\) 9.83171 + 8.58743i 0.421144 + 0.367845i
\(546\) −3.48084 + 5.41630i −0.148966 + 0.231796i
\(547\) −2.52026 + 3.36667i −0.107758 + 0.143948i −0.851178 0.524877i \(-0.824111\pi\)
0.743420 + 0.668825i \(0.233202\pi\)
\(548\) −1.85856 0.404304i −0.0793936 0.0172710i
\(549\) −0.622980 0.718957i −0.0265881 0.0306843i
\(550\) −20.6113 + 11.0442i −0.878869 + 0.470927i
\(551\) 10.6338i 0.453015i
\(552\) −0.568430 4.76203i −0.0241940 0.202685i
\(553\) −2.70337 + 2.70337i −0.114959 + 0.114959i
\(554\) 3.69207 + 12.5741i 0.156861 + 0.534220i
\(555\) −8.99838 19.9114i −0.381960 0.845191i
\(556\) −7.07993 + 4.55000i −0.300256 + 0.192963i
\(557\) 10.7229 + 8.02704i 0.454342 + 0.340116i 0.801814 0.597574i \(-0.203869\pi\)
−0.347471 + 0.937691i \(0.612960\pi\)
\(558\) −0.839475 + 0.182617i −0.0355378 + 0.00773077i
\(559\) −16.4503 + 36.0211i −0.695772 + 1.52353i
\(560\) 4.20372 + 0.931862i 0.177640 + 0.0393784i
\(561\) 3.44226 23.9415i 0.145332 1.01081i
\(562\) −13.2834 4.95446i −0.560327 0.208991i
\(563\) −6.14890 11.2609i −0.259145 0.474589i 0.715419 0.698695i \(-0.246236\pi\)
−0.974565 + 0.224106i \(0.928054\pi\)
\(564\) −1.54096 + 5.24802i −0.0648860 + 0.220982i
\(565\) −0.826831 0.624067i −0.0347850 0.0262547i
\(566\) −22.1351 3.18255i −0.930408 0.133772i
\(567\) 0.137370 + 1.92069i 0.00576902 + 0.0806614i
\(568\) 1.81301 + 4.86088i 0.0760723 + 0.203958i
\(569\) −3.41359 2.19378i −0.143105 0.0919682i 0.467129 0.884189i \(-0.345288\pi\)
−0.610234 + 0.792221i \(0.708925\pi\)
\(570\) −2.73772 0.404665i −0.114671 0.0169496i
\(571\) −0.759069 1.18113i −0.0317661 0.0494289i 0.825007 0.565122i \(-0.191171\pi\)
−0.856773 + 0.515693i \(0.827535\pi\)
\(572\) −15.5972 1.11553i −0.652152 0.0466429i
\(573\) −5.47601 2.99013i −0.228764 0.124914i
\(574\) −2.83832 −0.118469
\(575\) 23.6142 + 4.16768i 0.984780 + 0.173804i
\(576\) −1.00000 −0.0416667
\(577\) −10.7211 5.85414i −0.446324 0.243711i 0.240337 0.970690i \(-0.422742\pi\)
−0.686660 + 0.726978i \(0.740924\pi\)
\(578\) −9.72363 0.695448i −0.404450 0.0289268i
\(579\) 4.60174 + 7.16044i 0.191242 + 0.297578i
\(580\) −19.0057 2.80924i −0.789167 0.116647i
\(581\) −11.0748 7.11734i −0.459460 0.295277i
\(582\) −5.15788 13.8288i −0.213801 0.573222i
\(583\) 1.26144 + 17.6372i 0.0522435 + 0.730460i
\(584\) 1.50042 + 0.215727i 0.0620876 + 0.00892685i
\(585\) 5.96747 + 4.50407i 0.246724 + 0.186220i
\(586\) −5.67499 + 19.3272i −0.234432 + 0.798401i
\(587\) 2.11538 + 3.87403i 0.0873110 + 0.159898i 0.917686 0.397307i \(-0.130055\pi\)
−0.830375 + 0.557206i \(0.811874\pi\)
\(588\) 3.08451 + 1.15046i 0.127203 + 0.0474443i
\(589\) −0.151320 + 1.05245i −0.00623503 + 0.0433656i
\(590\) −22.1327 4.90629i −0.911190 0.201989i
\(591\) −9.86334 + 21.5977i −0.405724 + 0.888411i
\(592\) −9.54842 + 2.07713i −0.392438 + 0.0853696i
\(593\) 13.5970 + 10.1786i 0.558363 + 0.417985i 0.840836 0.541290i \(-0.182064\pi\)
−0.282473 + 0.959275i \(0.591155\pi\)
\(594\) −3.93434 + 2.52844i −0.161428 + 0.103743i
\(595\) −9.17080 20.2929i −0.375966 0.831929i
\(596\) 0.811418 + 2.76344i 0.0332370 + 0.113195i
\(597\) 11.7883 11.7883i 0.482463 0.482463i
\(598\) 11.8632 + 10.7886i 0.485121 + 0.441177i
\(599\) 3.37234i 0.137790i 0.997624 + 0.0688950i \(0.0219473\pi\)
−0.997624 + 0.0688950i \(0.978053\pi\)
\(600\) 1.44650 4.78619i 0.0590533 0.195395i
\(601\) 16.3669 + 18.8884i 0.667621 + 0.770476i 0.984002 0.178156i \(-0.0570133\pi\)
−0.316381 + 0.948632i \(0.602468\pi\)
\(602\) −22.2846 4.84773i −0.908254 0.197579i
\(603\) 7.02981 9.39073i 0.286276 0.382420i
\(604\) −0.994236 + 1.54706i −0.0404549 + 0.0629491i
\(605\) 18.3097 + 15.9925i 0.744396 + 0.650187i
\(606\) −5.83008 + 6.72827i −0.236831 + 0.273317i
\(607\) 26.8435 20.0948i 1.08954 0.815621i 0.105654 0.994403i \(-0.466306\pi\)
0.983889 + 0.178781i \(0.0572155\pi\)
\(608\) −0.432514 + 1.15962i −0.0175408 + 0.0470286i
\(609\) 15.8744 + 4.66115i 0.643264 + 0.188879i
\(610\) −0.443960 2.08036i −0.0179754 0.0842315i
\(611\) −7.59707 16.6353i −0.307345 0.672991i
\(612\) 3.09940 + 4.14031i 0.125286 + 0.167362i
\(613\) −9.53526 + 0.681975i −0.385126 + 0.0275447i −0.262560 0.964916i \(-0.584567\pi\)
−0.122566 + 0.992460i \(0.539112\pi\)
\(614\) 8.28445 + 3.78338i 0.334333 + 0.152685i
\(615\) −0.248110 + 3.28661i −0.0100048 + 0.132529i
\(616\) −1.28162 8.91388i −0.0516380 0.359150i
\(617\) −3.30067 + 15.1729i −0.132880 + 0.610839i 0.861749 + 0.507335i \(0.169369\pi\)
−0.994629 + 0.103505i \(0.966994\pi\)
\(618\) 0.844704 11.8105i 0.0339790 0.475088i
\(619\) −4.15104 + 1.21886i −0.166844 + 0.0489899i −0.364088 0.931365i \(-0.618619\pi\)
0.197244 + 0.980355i \(0.436801\pi\)
\(620\) −1.84106 0.548489i −0.0739387 0.0220278i
\(621\) 4.77403 + 0.456802i 0.191575 + 0.0183308i
\(622\) 8.66266 + 8.66266i 0.347341 + 0.347341i
\(623\) 16.5847 30.3727i 0.664454 1.21686i
\(624\) 2.52690 2.18957i 0.101157 0.0876531i
\(625\) 20.8152 + 13.8465i 0.832610 + 0.553860i
\(626\) −21.0486 + 3.02633i −0.841272 + 0.120957i
\(627\) 1.23037 + 5.65591i 0.0491361 + 0.225875i
\(628\) −14.3963 + 5.36953i −0.574473 + 0.214267i
\(629\) 38.1943 + 33.0956i 1.52291 + 1.31961i
\(630\) −1.80413 + 3.90957i −0.0718783 + 0.155761i
\(631\) −3.64400 + 1.66416i −0.145065 + 0.0662492i −0.486625 0.873611i \(-0.661772\pi\)
0.341560 + 0.939860i \(0.389045\pi\)
\(632\) 1.74257 0.951518i 0.0693159 0.0378493i
\(633\) −13.1305 + 7.16977i −0.521889 + 0.284973i
\(634\) −5.95196 + 2.71817i −0.236382 + 0.107952i
\(635\) −2.53417 6.87717i −0.100565 0.272912i
\(636\) −2.85741 2.47596i −0.113304 0.0981780i
\(637\) −10.3133 + 3.84665i −0.408627 + 0.152410i
\(638\) 8.54138 + 39.2641i 0.338156 + 1.55448i
\(639\) −5.13517 + 0.738326i −0.203144 + 0.0292077i
\(640\) −1.95830 1.07937i −0.0774087 0.0426660i
\(641\) 21.5856 18.7040i 0.852580 0.738765i −0.114450 0.993429i \(-0.536510\pi\)
0.967030 + 0.254664i \(0.0819650\pi\)
\(642\) −4.56086 + 8.35259i −0.180003 + 0.329650i
\(643\) 6.97098 + 6.97098i 0.274909 + 0.274909i 0.831073 0.556164i \(-0.187727\pi\)
−0.556164 + 0.831073i \(0.687727\pi\)
\(644\) −4.61898 + 7.99670i −0.182013 + 0.315114i
\(645\) −7.56137 + 25.3805i −0.297729 + 0.999356i
\(646\) 6.14171 1.80337i 0.241642 0.0709526i
\(647\) 1.10440 15.4415i 0.0434184 0.607069i −0.928437 0.371490i \(-0.878847\pi\)
0.971855 0.235579i \(-0.0756986\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) 6.74779 + 46.9319i 0.264874 + 1.84224i
\(650\) 6.82454 + 15.2615i 0.267680 + 0.598604i
\(651\) 1.50480 + 0.687219i 0.0589778 + 0.0269342i
\(652\) −22.8182 + 1.63199i −0.893632 + 0.0639138i
\(653\) 4.15753 + 5.55381i 0.162697 + 0.217337i 0.874480 0.485062i \(-0.161203\pi\)
−0.711783 + 0.702399i \(0.752112\pi\)
\(654\) 2.42516 + 5.31036i 0.0948312 + 0.207651i
\(655\) −0.103058 + 0.158977i −0.00402679 + 0.00621174i
\(656\) 1.41429 + 0.415273i 0.0552187 + 0.0162137i
\(657\) −0.529733 + 1.42027i −0.0206669 + 0.0554100i
\(658\) 8.43146 6.31171i 0.328692 0.246056i
\(659\) 20.2957 23.4225i 0.790609 0.912412i −0.207218 0.978295i \(-0.566441\pi\)
0.997827 + 0.0658832i \(0.0209865\pi\)
\(660\) −10.4338 + 0.704840i −0.406134 + 0.0274359i
\(661\) −8.47601 + 13.1889i −0.329679 + 0.512990i −0.966037 0.258403i \(-0.916804\pi\)
0.636358 + 0.771394i \(0.280440\pi\)
\(662\) −2.94585 + 3.93519i −0.114494 + 0.152946i
\(663\) −16.8974 3.67580i −0.656240 0.142756i
\(664\) 4.47705 + 5.16680i 0.173743 + 0.200511i
\(665\) 3.75329 + 3.78304i 0.145546 + 0.146700i
\(666\) 9.77173i 0.378647i
\(667\) 18.0117 37.0603i 0.697417 1.43498i
\(668\) −14.2354 + 14.2354i −0.550786 + 0.550786i
\(669\) −2.84851 9.70112i −0.110130 0.375067i
\(670\) 23.9026 10.8021i 0.923438 0.417321i
\(671\) −3.74280 + 2.40535i −0.144489 + 0.0928576i
\(672\) 1.54152 + 1.15397i 0.0594654 + 0.0445152i
\(673\) −21.6620 + 4.71229i −0.835010 + 0.181645i −0.609690 0.792640i \(-0.708706\pi\)
−0.225319 + 0.974285i \(0.572343\pi\)
\(674\) −13.9233 + 30.4877i −0.536304 + 1.17434i
\(675\) 4.36933 + 2.43083i 0.168176 + 0.0935625i
\(676\) 0.259090 1.80201i 0.00996499 0.0693080i
\(677\) −5.73354 2.13850i −0.220358 0.0821892i 0.236861 0.971544i \(-0.423882\pi\)
−0.457218 + 0.889354i \(0.651154\pi\)
\(678\) −0.222023 0.406605i −0.00852674 0.0156156i
\(679\) −8.00702 + 27.2694i −0.307281 + 1.04650i
\(680\) 1.60062 + 11.4534i 0.0613809 + 0.439218i
\(681\) 25.0672 + 3.60412i 0.960577 + 0.138110i
\(682\) 0.286629 + 4.00760i 0.0109756 + 0.153459i
\(683\) 5.35896 + 14.3679i 0.205055 + 0.549773i 0.998246 0.0591992i \(-0.0188547\pi\)
−0.793191 + 0.608972i \(0.791582\pi\)
\(684\) −1.04118 0.669124i −0.0398104 0.0255846i
\(685\) 3.41478 2.53530i 0.130472 0.0968687i
\(686\) −10.7146 16.6723i −0.409086 0.636551i
\(687\) −2.48636 0.177828i −0.0948607 0.00678457i
\(688\) 10.3948 + 5.67599i 0.396298 + 0.216395i
\(689\) 12.6417 0.481609
\(690\) 8.85593 + 6.04752i 0.337140 + 0.230225i
\(691\) −17.9176 −0.681618 −0.340809 0.940133i \(-0.610701\pi\)
−0.340809 + 0.940133i \(0.610701\pi\)
\(692\) −18.1090 9.88826i −0.688400 0.375895i
\(693\) 8.98260 + 0.642448i 0.341221 + 0.0244046i
\(694\) −11.8436 18.4289i −0.449575 0.699553i
\(695\) 2.75169 18.6163i 0.104378 0.706158i
\(696\) −7.22800 4.64515i −0.273976 0.176074i
\(697\) −2.66409 7.14270i −0.100910 0.270549i
\(698\) −1.89392 26.4805i −0.0716861 1.00230i
\(699\) −14.9040 2.14287i −0.563720 0.0810507i
\(700\) −7.75292 + 5.70879i −0.293033 + 0.215772i
\(701\) −10.7049 + 36.4576i −0.404319 + 1.37698i 0.466126 + 0.884718i \(0.345649\pi\)
−0.870445 + 0.492266i \(0.836169\pi\)
\(702\) 1.60240 + 2.93458i 0.0604788 + 0.110759i
\(703\) −11.3315 4.22642i −0.427374 0.159402i
\(704\) −0.665571 + 4.62915i −0.0250847 + 0.174468i
\(705\) −6.57155 10.3148i −0.247499 0.388480i
\(706\) 5.37822 11.7767i 0.202412 0.443220i
\(707\) 16.7514 3.64404i 0.630001 0.137048i
\(708\) −8.11616 6.07568i −0.305024 0.228338i
\(709\) −17.8564 + 11.4756i −0.670613 + 0.430977i −0.831146 0.556054i \(-0.812315\pi\)
0.160534 + 0.987030i \(0.448679\pi\)
\(710\) −10.8532 4.09691i −0.407312 0.153754i
\(711\) 0.559362 + 1.90501i 0.0209777 + 0.0714435i
\(712\) −12.7077 + 12.7077i −0.476242 + 0.476242i
\(713\) 2.31003 3.41164i 0.0865114 0.127767i
\(714\) 9.95898i 0.372705i
\(715\) 24.8218 24.6265i 0.928282 0.920980i
\(716\) 10.9350 + 12.6197i 0.408660 + 0.471619i
\(717\) 15.6801 + 3.41099i 0.585583 + 0.127386i
\(718\) 5.13609 6.86101i 0.191677 0.256051i
\(719\) −18.5644 + 28.8867i −0.692335 + 1.07729i 0.300027 + 0.953931i \(0.403004\pi\)
−0.992362 + 0.123363i \(0.960632\pi\)
\(720\) 1.47097 1.68411i 0.0548200 0.0627632i
\(721\) −14.9311 + 17.2314i −0.556062 + 0.641729i
\(722\) 13.9840 10.4683i 0.520432 0.389590i
\(723\) 2.55279 6.84429i 0.0949392 0.254542i
\(724\) −2.49291 0.731985i −0.0926483 0.0272040i
\(725\) 32.6879 27.8753i 1.21400 1.03526i
\(726\) 4.51640 + 9.88954i 0.167619 + 0.367035i
\(727\) −15.3166 20.4605i −0.568060 0.758839i 0.420886 0.907113i \(-0.361719\pi\)
−0.988946 + 0.148274i \(0.952628\pi\)
\(728\) −6.42196 + 0.459308i −0.238014 + 0.0170231i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) −2.57038 + 2.20954i −0.0951341 + 0.0817787i
\(731\) −8.71726 60.6299i −0.322420 2.24248i
\(732\) 0.202217 0.929576i 0.00747415 0.0343581i
\(733\) 2.64091 36.9247i 0.0975442 1.36385i −0.679164 0.733986i \(-0.737658\pi\)
0.776709 0.629860i \(-0.216888\pi\)
\(734\) 30.3113 8.90022i 1.11881 0.328513i
\(735\) −6.47475 + 3.50236i −0.238825 + 0.129187i
\(736\) 3.47155 3.30883i 0.127963 0.121965i
\(737\) −38.7923 38.7923i −1.42893 1.42893i
\(738\) −0.706412 + 1.29370i −0.0260034 + 0.0476216i
\(739\) −2.49817 + 2.16467i −0.0918965 + 0.0796288i −0.699598 0.714537i \(-0.746637\pi\)
0.607701 + 0.794166i \(0.292092\pi\)
\(740\) 10.5474 19.1360i 0.387729 0.703454i
\(741\) 4.09605 0.588923i 0.150472 0.0216346i
\(742\) 1.54757 + 7.11409i 0.0568133 + 0.261166i
\(743\) −35.8185 + 13.3596i −1.31405 + 0.490116i −0.906168 0.422918i \(-0.861006\pi\)
−0.407884 + 0.913034i \(0.633733\pi\)
\(744\) −0.649271 0.562596i −0.0238034 0.0206258i
\(745\) −5.84751 2.69842i −0.214236 0.0988626i
\(746\) −29.3106 + 13.3857i −1.07314 + 0.490085i
\(747\) −6.00039 + 3.27646i −0.219543 + 0.119879i
\(748\) 21.2290 11.5919i 0.776209 0.423842i
\(749\) 16.6693 7.61260i 0.609081 0.278158i
\(750\) 5.93271 + 9.47644i 0.216632 + 0.346031i
\(751\) −1.74858 1.51515i −0.0638065 0.0552886i 0.622374 0.782720i \(-0.286168\pi\)
−0.686180 + 0.727432i \(0.740714\pi\)
\(752\) −5.12472 + 1.91142i −0.186879 + 0.0697024i
\(753\) 1.16135 + 5.33864i 0.0423220 + 0.194551i
\(754\) 28.4353 4.08838i 1.03555 0.148890i
\(755\) −1.14293 3.95009i −0.0415955 0.143759i
\(756\) −1.45527 + 1.26100i −0.0529276 + 0.0458620i
\(757\) −19.9867 + 36.6029i −0.726430 + 1.33036i 0.209374 + 0.977836i \(0.432857\pi\)
−0.935804 + 0.352521i \(0.885324\pi\)
\(758\) −22.6146 22.6146i −0.821399 0.821399i
\(759\) 5.29206 21.7957i 0.192090 0.791132i
\(760\) −1.31671 2.43417i −0.0477619 0.0882966i
\(761\) −19.8268 + 5.82166i −0.718720 + 0.211035i −0.620586 0.784138i \(-0.713105\pi\)
−0.0981334 + 0.995173i \(0.531287\pi\)
\(762\) 0.233830 3.26938i 0.00847078 0.118437i
\(763\) 2.38955 10.9846i 0.0865074 0.397668i
\(764\) −0.887930 6.17569i −0.0321242 0.223429i
\(765\) −11.5319 0.870557i −0.416936 0.0314751i
\(766\) −20.1288 9.19250i −0.727282 0.332139i
\(767\) 33.8119 2.41827i 1.22088 0.0873188i
\(768\) −0.599278 0.800541i −0.0216246 0.0288870i
\(769\) 4.20220 + 9.20153i 0.151535 + 0.331816i 0.970142 0.242539i \(-0.0779803\pi\)
−0.818606 + 0.574355i \(0.805253\pi\)
\(770\) 16.8972 + 10.9537i 0.608933 + 0.394744i
\(771\) −23.7937 6.98647i −0.856910 0.251611i
\(772\) −2.97451 + 7.97497i −0.107055 + 0.287026i
\(773\) 0.212390 0.158993i 0.00763912