Properties

Label 392.2.z.a.37.19
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.19
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.709961 + 1.22309i) q^{2} +(0.469951 + 0.506487i) q^{3} +(-0.991911 - 1.73670i) q^{4} +(-0.273835 + 0.887753i) q^{5} +(-0.953127 + 0.215208i) q^{6} +(0.528093 - 2.59251i) q^{7} +(2.82836 + 0.0197876i) q^{8} +(0.188515 - 2.51556i) q^{9} +O(q^{10})\) \(q+(-0.709961 + 1.22309i) q^{2} +(0.469951 + 0.506487i) q^{3} +(-0.991911 - 1.73670i) q^{4} +(-0.273835 + 0.887753i) q^{5} +(-0.953127 + 0.215208i) q^{6} +(0.528093 - 2.59251i) q^{7} +(2.82836 + 0.0197876i) q^{8} +(0.188515 - 2.51556i) q^{9} +(-0.891391 - 0.965196i) q^{10} +(2.90057 - 0.217368i) q^{11} +(0.413464 - 1.31855i) q^{12} +(1.19293 - 2.47715i) q^{13} +(2.79596 + 2.48649i) q^{14} +(-0.578324 + 0.278506i) q^{15} +(-2.03223 + 3.44530i) q^{16} +(0.271023 + 0.0408501i) q^{17} +(2.94293 + 2.01652i) q^{18} +(0.864835 + 0.499313i) q^{19} +(1.81338 - 0.405003i) q^{20} +(1.56125 - 0.950882i) q^{21} +(-1.79343 + 3.70199i) q^{22} +(-2.51518 + 0.379103i) q^{23} +(1.31917 + 1.44183i) q^{24} +(3.41808 + 2.33040i) q^{25} +(2.18284 + 3.21774i) q^{26} +(2.98326 - 2.37907i) q^{27} +(-5.02623 + 1.65440i) q^{28} +(6.85394 + 5.46583i) q^{29} +(0.0699487 - 0.905073i) q^{30} +(-4.98617 - 8.63630i) q^{31} +(-2.77111 - 4.93163i) q^{32} +(1.47322 + 1.36695i) q^{33} +(-0.242379 + 0.302484i) q^{34} +(2.15690 + 1.17874i) q^{35} +(-4.55576 + 2.16782i) q^{36} +(-6.06557 + 2.38056i) q^{37} +(-1.22471 + 0.703281i) q^{38} +(1.81526 - 0.559934i) q^{39} +(-0.792071 + 2.50546i) q^{40} +(0.608266 + 2.66499i) q^{41} +(0.0545889 + 2.58464i) q^{42} +(7.65784 + 1.74785i) q^{43} +(-3.25461 - 4.82180i) q^{44} +(2.18158 + 0.856205i) q^{45} +(1.32200 - 3.34545i) q^{46} +(5.47460 - 3.73252i) q^{47} +(-2.70004 + 0.589825i) q^{48} +(-6.44224 - 2.73818i) q^{49} +(-5.27700 + 2.52613i) q^{50} +(0.106678 + 0.156467i) q^{51} +(-5.48533 + 0.385350i) q^{52} +(3.42053 + 1.34246i) q^{53} +(0.791826 + 5.33786i) q^{54} +(-0.601310 + 2.63451i) q^{55} +(1.54494 - 7.32210i) q^{56} +(0.153535 + 0.672680i) q^{57} +(-11.5512 + 4.50247i) q^{58} +(0.968189 + 3.13879i) q^{59} +(1.05733 + 0.728120i) q^{60} +(-14.2533 + 5.59401i) q^{61} +(14.1030 + 0.0328884i) q^{62} +(-6.42207 - 1.81718i) q^{63} +(7.99922 + 0.111933i) q^{64} +(1.87243 + 1.73736i) q^{65} +(-2.71783 + 0.831405i) q^{66} +(2.13348 - 1.23176i) q^{67} +(-0.197886 - 0.511204i) q^{68} +(-1.37402 - 1.09575i) q^{69} +(-2.97302 + 1.80123i) q^{70} +(-4.71309 - 5.91003i) q^{71} +(0.582966 - 7.11118i) q^{72} +(11.0283 + 7.51897i) q^{73} +(1.39467 - 9.10886i) q^{74} +(0.426009 + 2.82639i) q^{75} +(0.00931520 - 1.99723i) q^{76} +(0.968243 - 7.63455i) q^{77} +(-0.603914 + 2.61776i) q^{78} +(4.13722 - 7.16587i) q^{79} +(-2.50207 - 2.74756i) q^{80} +(-4.87637 - 0.734994i) q^{81} +(-3.69137 - 1.14807i) q^{82} +(-7.05258 - 14.6448i) q^{83} +(-3.20001 - 1.76823i) q^{84} +(-0.110481 + 0.229415i) q^{85} +(-7.57455 + 8.12534i) q^{86} +(0.452643 + 6.04010i) q^{87} +(8.20815 - 0.557398i) q^{88} +(-0.674018 + 8.99415i) q^{89} +(-2.59605 + 2.06040i) q^{90} +(-5.79205 - 4.40085i) q^{91} +(3.15323 + 3.99207i) q^{92} +(2.03092 - 6.58407i) q^{93} +(0.678463 + 9.34588i) q^{94} +(-0.680089 + 0.631030i) q^{95} +(1.19552 - 3.72116i) q^{96} -2.79586 q^{97} +(7.92278 - 5.93545i) q^{98} -7.33754i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.709961 + 1.22309i −0.502018 + 0.864857i
\(3\) 0.469951 + 0.506487i 0.271326 + 0.292420i 0.853986 0.520296i \(-0.174178\pi\)
−0.582660 + 0.812716i \(0.697988\pi\)
\(4\) −0.991911 1.73670i −0.495955 0.868348i
\(5\) −0.273835 + 0.887753i −0.122463 + 0.397015i −0.995958 0.0898175i \(-0.971372\pi\)
0.873495 + 0.486833i \(0.161848\pi\)
\(6\) −0.953127 + 0.215208i −0.389113 + 0.0878582i
\(7\) 0.528093 2.59251i 0.199600 0.979877i
\(8\) 2.82836 + 0.0197876i 0.999976 + 0.00699599i
\(9\) 0.188515 2.51556i 0.0628385 0.838521i
\(10\) −0.891391 0.965196i −0.281883 0.305222i
\(11\) 2.90057 0.217368i 0.874555 0.0655388i 0.370115 0.928986i \(-0.379318\pi\)
0.504440 + 0.863447i \(0.331699\pi\)
\(12\) 0.413464 1.31855i 0.119357 0.380633i
\(13\) 1.19293 2.47715i 0.330859 0.687037i −0.667481 0.744627i \(-0.732627\pi\)
0.998340 + 0.0575903i \(0.0183417\pi\)
\(14\) 2.79596 + 2.48649i 0.747251 + 0.664542i
\(15\) −0.578324 + 0.278506i −0.149323 + 0.0719100i
\(16\) −2.03223 + 3.44530i −0.508056 + 0.861324i
\(17\) 0.271023 + 0.0408501i 0.0657327 + 0.00990762i 0.181826 0.983331i \(-0.441799\pi\)
−0.116094 + 0.993238i \(0.537037\pi\)
\(18\) 2.94293 + 2.01652i 0.693655 + 0.475299i
\(19\) 0.864835 + 0.499313i 0.198407 + 0.114550i 0.595912 0.803050i \(-0.296791\pi\)
−0.397505 + 0.917600i \(0.630124\pi\)
\(20\) 1.81338 0.405003i 0.405483 0.0905613i
\(21\) 1.56125 0.950882i 0.340693 0.207499i
\(22\) −1.79343 + 3.70199i −0.382361 + 0.789267i
\(23\) −2.51518 + 0.379103i −0.524452 + 0.0790485i −0.405932 0.913903i \(-0.633053\pi\)
−0.118520 + 0.992952i \(0.537815\pi\)
\(24\) 1.31917 + 1.44183i 0.269274 + 0.294311i
\(25\) 3.41808 + 2.33040i 0.683615 + 0.466081i
\(26\) 2.18284 + 3.21774i 0.428091 + 0.631051i
\(27\) 2.98326 2.37907i 0.574129 0.457853i
\(28\) −5.02623 + 1.65440i −0.949867 + 0.312653i
\(29\) 6.85394 + 5.46583i 1.27274 + 1.01498i 0.998579 + 0.0532967i \(0.0169729\pi\)
0.274165 + 0.961683i \(0.411599\pi\)
\(30\) 0.0699487 0.905073i 0.0127708 0.165243i
\(31\) −4.98617 8.63630i −0.895542 1.55113i −0.833132 0.553075i \(-0.813454\pi\)
−0.0624107 0.998051i \(-0.519879\pi\)
\(32\) −2.77111 4.93163i −0.489868 0.871796i
\(33\) 1.47322 + 1.36695i 0.256455 + 0.237955i
\(34\) −0.242379 + 0.302484i −0.0415677 + 0.0518756i
\(35\) 2.15690 + 1.17874i 0.364582 + 0.199243i
\(36\) −4.55576 + 2.16782i −0.759293 + 0.361303i
\(37\) −6.06557 + 2.38056i −0.997174 + 0.391362i −0.807105 0.590409i \(-0.798967\pi\)
−0.190070 + 0.981771i \(0.560871\pi\)
\(38\) −1.22471 + 0.703281i −0.198673 + 0.114087i
\(39\) 1.81526 0.559934i 0.290674 0.0896612i
\(40\) −0.792071 + 2.50546i −0.125237 + 0.396149i
\(41\) 0.608266 + 2.66499i 0.0949952 + 0.416201i 0.999957 0.00929193i \(-0.00295776\pi\)
−0.904962 + 0.425493i \(0.860101\pi\)
\(42\) 0.0545889 + 2.58464i 0.00842324 + 0.398819i
\(43\) 7.65784 + 1.74785i 1.16781 + 0.266545i 0.762102 0.647458i \(-0.224168\pi\)
0.405708 + 0.914003i \(0.367025\pi\)
\(44\) −3.25461 4.82180i −0.490651 0.726914i
\(45\) 2.18158 + 0.856205i 0.325210 + 0.127636i
\(46\) 1.32200 3.34545i 0.194919 0.493260i
\(47\) 5.47460 3.73252i 0.798552 0.544443i −0.0939024 0.995581i \(-0.529934\pi\)
0.892454 + 0.451138i \(0.148982\pi\)
\(48\) −2.70004 + 0.589825i −0.389718 + 0.0851339i
\(49\) −6.44224 2.73818i −0.920319 0.391168i
\(50\) −5.27700 + 2.52613i −0.746280 + 0.357248i
\(51\) 0.106678 + 0.156467i 0.0149378 + 0.0219098i
\(52\) −5.48533 + 0.385350i −0.760678 + 0.0534384i
\(53\) 3.42053 + 1.34246i 0.469846 + 0.184401i 0.588438 0.808542i \(-0.299743\pi\)
−0.118593 + 0.992943i \(0.537838\pi\)
\(54\) 0.791826 + 5.33786i 0.107754 + 0.726390i
\(55\) −0.601310 + 2.63451i −0.0810806 + 0.355237i
\(56\) 1.54494 7.32210i 0.206451 0.978457i
\(57\) 0.153535 + 0.672680i 0.0203362 + 0.0890987i
\(58\) −11.5512 + 4.50247i −1.51675 + 0.591203i
\(59\) 0.968189 + 3.13879i 0.126048 + 0.408636i 0.996498 0.0836206i \(-0.0266484\pi\)
−0.870450 + 0.492257i \(0.836172\pi\)
\(60\) 1.05733 + 0.728120i 0.136500 + 0.0939999i
\(61\) −14.2533 + 5.59401i −1.82495 + 0.716240i −0.840197 + 0.542281i \(0.817561\pi\)
−0.984753 + 0.173959i \(0.944344\pi\)
\(62\) 14.1030 + 0.0328884i 1.79108 + 0.00417683i
\(63\) −6.42207 1.81718i −0.809105 0.228943i
\(64\) 7.99922 + 0.111933i 0.999902 + 0.0139916i
\(65\) 1.87243 + 1.73736i 0.232246 + 0.215493i
\(66\) −2.71783 + 0.831405i −0.334542 + 0.102339i
\(67\) 2.13348 1.23176i 0.260645 0.150484i −0.363983 0.931405i \(-0.618584\pi\)
0.624629 + 0.780922i \(0.285250\pi\)
\(68\) −0.197886 0.511204i −0.0239972 0.0619926i
\(69\) −1.37402 1.09575i −0.165413 0.131913i
\(70\) −2.97302 + 1.80123i −0.355344 + 0.215288i
\(71\) −4.71309 5.91003i −0.559341 0.701391i 0.419095 0.907942i \(-0.362347\pi\)
−0.978436 + 0.206551i \(0.933776\pi\)
\(72\) 0.582966 7.11118i 0.0687032 0.838061i
\(73\) 11.0283 + 7.51897i 1.29077 + 0.880029i 0.997117 0.0758844i \(-0.0241780\pi\)
0.293649 + 0.955913i \(0.405130\pi\)
\(74\) 1.39467 9.10886i 0.162127 1.05888i
\(75\) 0.426009 + 2.82639i 0.0491913 + 0.326363i
\(76\) 0.00931520 1.99723i 0.00106853 0.229098i
\(77\) 0.968243 7.63455i 0.110342 0.870038i
\(78\) −0.603914 + 2.61776i −0.0683797 + 0.296403i
\(79\) 4.13722 7.16587i 0.465474 0.806224i −0.533749 0.845643i \(-0.679217\pi\)
0.999223 + 0.0394190i \(0.0125507\pi\)
\(80\) −2.50207 2.74756i −0.279740 0.307186i
\(81\) −4.87637 0.734994i −0.541819 0.0816660i
\(82\) −3.69137 1.14807i −0.407644 0.126783i
\(83\) −7.05258 14.6448i −0.774121 1.60748i −0.794182 0.607681i \(-0.792100\pi\)
0.0200603 0.999799i \(-0.493614\pi\)
\(84\) −3.20001 1.76823i −0.349150 0.192930i
\(85\) −0.110481 + 0.229415i −0.0119833 + 0.0248836i
\(86\) −7.57455 + 8.12534i −0.816785 + 0.876178i
\(87\) 0.452643 + 6.04010i 0.0485284 + 0.647567i
\(88\) 8.20815 0.557398i 0.874992 0.0594188i
\(89\) −0.674018 + 8.99415i −0.0714458 + 0.953378i 0.840167 + 0.542328i \(0.182457\pi\)
−0.911613 + 0.411050i \(0.865162\pi\)
\(90\) −2.59605 + 2.06040i −0.273648 + 0.217185i
\(91\) −5.79205 4.40085i −0.607172 0.461334i
\(92\) 3.15323 + 3.99207i 0.328746 + 0.416203i
\(93\) 2.03092 6.58407i 0.210596 0.682736i
\(94\) 0.678463 + 9.34588i 0.0699782 + 0.963954i
\(95\) −0.680089 + 0.631030i −0.0697756 + 0.0647423i
\(96\) 1.19552 3.72116i 0.122017 0.379789i
\(97\) −2.79586 −0.283877 −0.141939 0.989875i \(-0.545334\pi\)
−0.141939 + 0.989875i \(0.545334\pi\)
\(98\) 7.92278 5.93545i 0.800321 0.599571i
\(99\) 7.33754i 0.737451i
\(100\) 0.656778 8.24771i 0.0656778 0.824771i
\(101\) −5.47702 5.90282i −0.544984 0.587353i 0.399162 0.916880i \(-0.369301\pi\)
−0.944146 + 0.329527i \(0.893111\pi\)
\(102\) −0.267111 + 0.0193909i −0.0264479 + 0.00191998i
\(103\) −3.34727 1.03250i −0.329816 0.101735i 0.125425 0.992103i \(-0.459971\pi\)
−0.455241 + 0.890368i \(0.650447\pi\)
\(104\) 3.42305 6.98265i 0.335658 0.684705i
\(105\) 0.416622 + 1.64639i 0.0406581 + 0.160671i
\(106\) −4.07039 + 3.23053i −0.395351 + 0.313777i
\(107\) −3.55111 0.266119i −0.343299 0.0257267i −0.0980346 0.995183i \(-0.531256\pi\)
−0.245264 + 0.969456i \(0.578875\pi\)
\(108\) −7.09086 2.82119i −0.682318 0.271469i
\(109\) −2.11851 + 0.158760i −0.202916 + 0.0152065i −0.175800 0.984426i \(-0.556251\pi\)
−0.0271158 + 0.999632i \(0.508632\pi\)
\(110\) −2.79534 2.60586i −0.266526 0.248459i
\(111\) −4.05625 1.95339i −0.385002 0.185407i
\(112\) 7.85876 + 7.08801i 0.742583 + 0.669754i
\(113\) 8.45264 4.07058i 0.795158 0.382928i 0.00822479 0.999966i \(-0.497382\pi\)
0.786933 + 0.617038i \(0.211668\pi\)
\(114\) −0.931754 0.289789i −0.0872668 0.0271413i
\(115\) 0.352197 2.33667i 0.0328425 0.217896i
\(116\) 2.69399 17.3248i 0.250131 1.60857i
\(117\) −6.00653 3.46787i −0.555304 0.320605i
\(118\) −4.52641 1.04424i −0.416690 0.0961296i
\(119\) 0.249030 0.681058i 0.0228285 0.0624325i
\(120\) −1.64122 + 0.776272i −0.149822 + 0.0708636i
\(121\) −2.51108 + 0.378484i −0.228280 + 0.0344077i
\(122\) 3.27730 21.4047i 0.296713 1.93789i
\(123\) −1.06393 + 1.56049i −0.0959310 + 0.140705i
\(124\) −10.0528 + 17.2259i −0.902767 + 1.54693i
\(125\) −6.63652 + 5.29245i −0.593589 + 0.473371i
\(126\) 6.78200 6.56466i 0.604189 0.584827i
\(127\) −1.13410 + 1.42212i −0.100636 + 0.126193i −0.829599 0.558360i \(-0.811431\pi\)
0.728964 + 0.684553i \(0.240002\pi\)
\(128\) −5.81604 + 9.70431i −0.514070 + 0.857748i
\(129\) 2.71355 + 4.70000i 0.238915 + 0.413812i
\(130\) −3.45430 + 1.05669i −0.302962 + 0.0926782i
\(131\) −5.23563 + 5.64267i −0.457439 + 0.493002i −0.919083 0.394063i \(-0.871069\pi\)
0.461644 + 0.887065i \(0.347260\pi\)
\(132\) 0.912671 3.91443i 0.0794378 0.340707i
\(133\) 1.75119 1.97841i 0.151847 0.171550i
\(134\) −0.00812462 + 3.48394i −0.000701860 + 0.300967i
\(135\) 1.29511 + 3.29987i 0.111465 + 0.284008i
\(136\) 0.765742 + 0.120902i 0.0656618 + 0.0103672i
\(137\) 8.10022 2.49859i 0.692049 0.213469i 0.0712728 0.997457i \(-0.477294\pi\)
0.620776 + 0.783988i \(0.286818\pi\)
\(138\) 2.31571 0.902621i 0.197126 0.0768362i
\(139\) −13.4095 + 3.06063i −1.13738 + 0.259599i −0.749431 0.662082i \(-0.769673\pi\)
−0.387948 + 0.921681i \(0.626816\pi\)
\(140\) −0.0923421 4.91508i −0.00780433 0.415400i
\(141\) 4.46326 + 1.01871i 0.375875 + 0.0857909i
\(142\) 10.5746 1.56866i 0.887402 0.131639i
\(143\) 2.92173 7.44444i 0.244327 0.622535i
\(144\) 8.28375 + 5.76168i 0.690313 + 0.480140i
\(145\) −6.72916 + 4.58786i −0.558826 + 0.381001i
\(146\) −17.0261 + 8.15046i −1.40909 + 0.674537i
\(147\) −1.64069 4.54972i −0.135321 0.375254i
\(148\) 10.1508 + 8.17275i 0.834392 + 0.671796i
\(149\) 10.9960 + 16.1282i 0.900829 + 1.32127i 0.946630 + 0.322322i \(0.104464\pi\)
−0.0458012 + 0.998951i \(0.514584\pi\)
\(150\) −3.75938 1.48558i −0.306952 0.121297i
\(151\) −4.46287 + 11.3712i −0.363183 + 0.925376i 0.626150 + 0.779703i \(0.284630\pi\)
−0.989333 + 0.145673i \(0.953465\pi\)
\(152\) 2.43618 + 1.42935i 0.197601 + 0.115935i
\(153\) 0.153853 0.674075i 0.0124383 0.0544957i
\(154\) 8.65035 + 6.60449i 0.697065 + 0.532205i
\(155\) 9.03229 2.06156i 0.725491 0.165589i
\(156\) −2.77301 2.59715i −0.222019 0.207939i
\(157\) 3.27324 + 10.6116i 0.261233 + 0.846896i 0.987244 + 0.159213i \(0.0508958\pi\)
−0.726011 + 0.687683i \(0.758628\pi\)
\(158\) 5.82726 + 10.1477i 0.463592 + 0.807307i
\(159\) 0.927544 + 2.36334i 0.0735590 + 0.187425i
\(160\) 5.13689 1.10961i 0.406107 0.0877223i
\(161\) −0.345423 + 6.72085i −0.0272231 + 0.529677i
\(162\) 4.36100 5.44243i 0.342632 0.427598i
\(163\) −5.94201 + 6.40396i −0.465414 + 0.501597i −0.921521 0.388328i \(-0.873053\pi\)
0.456107 + 0.889925i \(0.349243\pi\)
\(164\) 4.02493 3.69980i 0.314294 0.288906i
\(165\) −1.61693 + 0.933536i −0.125878 + 0.0726757i
\(166\) 22.9190 + 1.77130i 1.77886 + 0.137480i
\(167\) −10.3803 + 13.0164i −0.803248 + 1.00724i 0.196395 + 0.980525i \(0.437077\pi\)
−0.999643 + 0.0267168i \(0.991495\pi\)
\(168\) 4.43459 2.65854i 0.342136 0.205111i
\(169\) 3.39220 + 4.25368i 0.260938 + 0.327206i
\(170\) −0.202159 0.298004i −0.0155049 0.0228558i
\(171\) 1.41909 2.08142i 0.108520 0.159170i
\(172\) −4.56041 15.0331i −0.347728 1.14626i
\(173\) 1.83839 + 12.1969i 0.139770 + 0.927313i 0.943274 + 0.332014i \(0.107728\pi\)
−0.803504 + 0.595299i \(0.797034\pi\)
\(174\) −7.70896 3.73461i −0.584415 0.283120i
\(175\) 7.84666 7.63073i 0.593152 0.576829i
\(176\) −5.14572 + 10.4351i −0.387873 + 0.786572i
\(177\) −1.13476 + 1.96545i −0.0852935 + 0.147733i
\(178\) −10.5221 7.20988i −0.788668 0.540403i
\(179\) −3.75478 + 24.9113i −0.280645 + 1.86196i 0.192939 + 0.981211i \(0.438198\pi\)
−0.473584 + 0.880749i \(0.657040\pi\)
\(180\) −0.676960 4.63801i −0.0504576 0.345697i
\(181\) −5.25171 10.9053i −0.390356 0.810583i −0.999842 0.0177859i \(-0.994338\pi\)
0.609486 0.792797i \(-0.291376\pi\)
\(182\) 9.49478 3.95978i 0.703800 0.293519i
\(183\) −9.53166 4.59020i −0.704600 0.339318i
\(184\) −7.12134 + 1.02247i −0.524992 + 0.0753775i
\(185\) −0.452381 6.03661i −0.0332597 0.443820i
\(186\) 6.61105 + 7.15843i 0.484746 + 0.524882i
\(187\) 0.795001 + 0.0595771i 0.0581362 + 0.00435671i
\(188\) −11.9126 5.80539i −0.868812 0.423401i
\(189\) −4.59233 8.99052i −0.334043 0.653964i
\(190\) −0.288972 1.27982i −0.0209642 0.0928478i
\(191\) 17.9799 + 5.54606i 1.30098 + 0.401299i 0.866407 0.499339i \(-0.166424\pi\)
0.434571 + 0.900637i \(0.356900\pi\)
\(192\) 3.70255 + 4.10410i 0.267208 + 0.296188i
\(193\) 2.69786 2.50325i 0.194196 0.180188i −0.577081 0.816687i \(-0.695808\pi\)
0.771278 + 0.636499i \(0.219618\pi\)
\(194\) 1.98495 3.41960i 0.142511 0.245513i
\(195\) 1.76483i 0.126382i
\(196\) 1.63474 + 13.9042i 0.116767 + 0.993159i
\(197\) 6.64325i 0.473312i −0.971593 0.236656i \(-0.923949\pi\)
0.971593 0.236656i \(-0.0760515\pi\)
\(198\) 8.97450 + 5.20937i 0.637790 + 0.370214i
\(199\) 6.63013 6.15186i 0.469998 0.436094i −0.409276 0.912410i \(-0.634219\pi\)
0.879274 + 0.476316i \(0.158028\pi\)
\(200\) 9.62143 + 6.65885i 0.680338 + 0.470852i
\(201\) 1.62650 + 0.501709i 0.114725 + 0.0353878i
\(202\) 11.1082 2.50813i 0.781568 0.176471i
\(203\) 17.7897 14.8824i 1.24860 1.04454i
\(204\) 0.165921 0.340468i 0.0116168 0.0238375i
\(205\) −2.53242 0.189778i −0.176872 0.0132547i
\(206\) 3.63927 3.36099i 0.253560 0.234171i
\(207\) 0.479507 + 6.39857i 0.0333280 + 0.444732i
\(208\) 6.11019 + 9.14412i 0.423666 + 0.634030i
\(209\) 2.61705 + 1.26030i 0.181025 + 0.0871771i
\(210\) −2.30947 0.659306i −0.159369 0.0454964i
\(211\) 3.89327 + 8.08445i 0.268024 + 0.556557i 0.990928 0.134391i \(-0.0429078\pi\)
−0.722905 + 0.690948i \(0.757193\pi\)
\(212\) −1.06142 7.27202i −0.0728984 0.499444i
\(213\) 0.778429 5.16454i 0.0533371 0.353869i
\(214\) 2.84664 4.15440i 0.194592 0.283989i
\(215\) −3.64865 + 6.31965i −0.248836 + 0.430996i
\(216\) 8.48481 6.66984i 0.577318 0.453825i
\(217\) −25.0229 + 8.36593i −1.69866 + 0.567917i
\(218\) 1.30988 2.70384i 0.0887162 0.183127i
\(219\) 1.37450 + 9.11924i 0.0928804 + 0.616221i
\(220\) 5.17179 1.56891i 0.348682 0.105776i
\(221\) 0.424503 0.622632i 0.0285552 0.0418828i
\(222\) 5.26895 3.57434i 0.353629 0.239894i
\(223\) 3.28801 + 4.12304i 0.220182 + 0.276099i 0.879638 0.475644i \(-0.157785\pi\)
−0.659456 + 0.751743i \(0.729213\pi\)
\(224\) −14.2487 + 4.57979i −0.952032 + 0.306000i
\(225\) 6.50664 8.15907i 0.433776 0.543938i
\(226\) −1.02235 + 13.2283i −0.0680059 + 0.879935i
\(227\) 6.31928 3.64844i 0.419426 0.242156i −0.275406 0.961328i \(-0.588812\pi\)
0.694832 + 0.719173i \(0.255479\pi\)
\(228\) 1.01595 0.933882i 0.0672828 0.0618479i
\(229\) −6.36010 + 6.85456i −0.420287 + 0.452962i −0.907332 0.420415i \(-0.861884\pi\)
0.487045 + 0.873377i \(0.338075\pi\)
\(230\) 2.60792 + 2.08972i 0.171961 + 0.137792i
\(231\) 4.32183 3.09746i 0.284355 0.203798i
\(232\) 19.2772 + 15.5949i 1.26561 + 1.02386i
\(233\) −7.90695 20.1466i −0.518002 1.31985i −0.915527 0.402256i \(-0.868226\pi\)
0.397526 0.917591i \(-0.369869\pi\)
\(234\) 8.50593 4.88449i 0.556050 0.319309i
\(235\) 1.81441 + 5.88218i 0.118359 + 0.383711i
\(236\) 4.49077 4.79485i 0.292324 0.312118i
\(237\) 5.57371 1.27216i 0.362052 0.0826359i
\(238\) 0.656195 + 0.788111i 0.0425348 + 0.0510856i
\(239\) −0.0151325 + 0.0662997i −0.000978838 + 0.00428857i −0.975415 0.220376i \(-0.929272\pi\)
0.974436 + 0.224665i \(0.0721287\pi\)
\(240\) 0.215749 2.55849i 0.0139266 0.165150i
\(241\) −5.22417 + 13.3110i −0.336518 + 0.857435i 0.658014 + 0.753006i \(0.271397\pi\)
−0.994532 + 0.104429i \(0.966698\pi\)
\(242\) 1.31985 3.33999i 0.0848430 0.214703i
\(243\) −8.36783 12.2734i −0.536797 0.787336i
\(244\) 23.8531 + 19.2049i 1.52704 + 1.22947i
\(245\) 4.19493 4.96930i 0.268005 0.317477i
\(246\) −1.15328 2.40917i −0.0735306 0.153603i
\(247\) 2.26856 1.54668i 0.144345 0.0984127i
\(248\) −13.9318 24.5252i −0.884669 1.55735i
\(249\) 4.10305 10.4544i 0.260020 0.662520i
\(250\) −1.76148 11.8745i −0.111406 0.751010i
\(251\) −18.3670 4.19215i −1.15932 0.264606i −0.400741 0.916191i \(-0.631247\pi\)
−0.758576 + 0.651585i \(0.774104\pi\)
\(252\) 3.21423 + 12.9557i 0.202478 + 0.816130i
\(253\) −7.21306 + 1.64634i −0.453482 + 0.103504i
\(254\) −0.934217 2.39677i −0.0586180 0.150387i
\(255\) −0.168116 + 0.0518570i −0.0105278 + 0.00324741i
\(256\) −7.74012 14.0032i −0.483757 0.875202i
\(257\) 1.57431 + 4.01127i 0.0982025 + 0.250216i 0.971530 0.236918i \(-0.0761374\pi\)
−0.873327 + 0.487134i \(0.838042\pi\)
\(258\) −7.67505 0.0178984i −0.477828 0.00111430i
\(259\) 2.96845 + 16.9822i 0.184450 + 1.05522i
\(260\) 1.15998 4.97514i 0.0719390 0.308545i
\(261\) 15.0417 16.2111i 0.931059 1.00344i
\(262\) −3.18441 10.4097i −0.196734 0.643116i
\(263\) 8.79783 + 15.2383i 0.542497 + 0.939633i 0.998760 + 0.0497876i \(0.0158544\pi\)
−0.456263 + 0.889845i \(0.650812\pi\)
\(264\) 4.13975 + 3.89537i 0.254784 + 0.239744i
\(265\) −2.12843 + 2.66897i −0.130749 + 0.163954i
\(266\) 1.17651 + 3.54646i 0.0721362 + 0.217447i
\(267\) −4.87217 + 3.88543i −0.298172 + 0.237784i
\(268\) −4.25541 2.48340i −0.259941 0.151698i
\(269\) −10.8059 + 15.8493i −0.658845 + 0.966349i 0.340811 + 0.940132i \(0.389298\pi\)
−0.999656 + 0.0262167i \(0.991654\pi\)
\(270\) −4.95553 0.758748i −0.301584 0.0461760i
\(271\) 10.9529 1.65088i 0.665338 0.100284i 0.192315 0.981333i \(-0.438401\pi\)
0.473024 + 0.881050i \(0.343162\pi\)
\(272\) −0.691521 + 0.850738i −0.0419296 + 0.0515835i
\(273\) −0.493008 5.00178i −0.0298382 0.302722i
\(274\) −2.69484 + 11.6812i −0.162801 + 0.705688i
\(275\) 10.4209 + 6.01652i 0.628405 + 0.362810i
\(276\) −0.540071 + 3.47315i −0.0325085 + 0.209059i
\(277\) 0.710237 4.71212i 0.0426740 0.283124i −0.957308 0.289069i \(-0.906654\pi\)
0.999982 + 0.00594523i \(0.00189244\pi\)
\(278\) 5.77679 18.5740i 0.346469 1.11399i
\(279\) −22.6651 + 10.9149i −1.35693 + 0.653461i
\(280\) 6.07716 + 3.37657i 0.363180 + 0.201789i
\(281\) −6.13058 2.95233i −0.365720 0.176121i 0.241993 0.970278i \(-0.422199\pi\)
−0.607713 + 0.794156i \(0.707913\pi\)
\(282\) −4.41472 + 4.73574i −0.262893 + 0.282009i
\(283\) −10.0683 + 0.754512i −0.598496 + 0.0448511i −0.370534 0.928819i \(-0.620825\pi\)
−0.227962 + 0.973670i \(0.573206\pi\)
\(284\) −5.58896 + 14.0474i −0.331643 + 0.833561i
\(285\) −0.639217 0.0479027i −0.0378639 0.00283751i
\(286\) 7.03093 + 8.85880i 0.415747 + 0.523832i
\(287\) 7.23024 0.169575i 0.426787 0.0100097i
\(288\) −12.9282 + 6.04122i −0.761802 + 0.355983i
\(289\) −16.1730 4.98870i −0.951350 0.293453i
\(290\) −0.833940 11.4876i −0.0489707 0.674574i
\(291\) −1.31392 1.41607i −0.0770233 0.0830114i
\(292\) 2.11907 26.6110i 0.124009 1.55729i
\(293\) 15.1150i 0.883026i 0.897255 + 0.441513i \(0.145558\pi\)
−0.897255 + 0.441513i \(0.854442\pi\)
\(294\) 6.72955 + 1.22341i 0.392475 + 0.0713507i
\(295\) −3.05160 −0.177671
\(296\) −17.2027 + 6.61306i −0.999888 + 0.384376i
\(297\) 8.13603 7.54913i 0.472100 0.438045i
\(298\) −27.5330 + 1.99876i −1.59494 + 0.115785i
\(299\) −2.06135 + 6.68272i −0.119211 + 0.386472i
\(300\) 4.48601 3.54337i 0.259000 0.204577i
\(301\) 8.57538 18.9300i 0.494277 1.09111i
\(302\) −10.7396 13.5316i −0.617993 0.778657i
\(303\) 0.415771 5.54808i 0.0238854 0.318729i
\(304\) −3.47782 + 1.96490i −0.199467 + 0.112695i
\(305\) −1.06304 14.1853i −0.0608694 0.812245i
\(306\) 0.715226 + 0.666743i 0.0408867 + 0.0381152i
\(307\) 14.1687 29.4215i 0.808648 1.67917i 0.0774628 0.996995i \(-0.475318\pi\)
0.731185 0.682179i \(-0.238968\pi\)
\(308\) −14.2193 + 5.89125i −0.810220 + 0.335685i
\(309\) −1.05011 2.18057i −0.0597385 0.124048i
\(310\) −3.89109 + 12.5109i −0.220999 + 0.710574i
\(311\) −8.79804 1.32609i −0.498891 0.0751957i −0.105223 0.994449i \(-0.533556\pi\)
−0.393668 + 0.919253i \(0.628794\pi\)
\(312\) 5.14529 1.54777i 0.291295 0.0876254i
\(313\) −10.0012 + 17.3227i −0.565304 + 0.979135i 0.431718 + 0.902009i \(0.357908\pi\)
−0.997021 + 0.0771259i \(0.975426\pi\)
\(314\) −15.3028 3.53033i −0.863588 0.199228i
\(315\) 3.37180 5.20360i 0.189979 0.293190i
\(316\) −16.5487 0.0771842i −0.930937 0.00434195i
\(317\) 0.901413 + 5.98048i 0.0506284 + 0.335897i 0.999778 + 0.0210719i \(0.00670790\pi\)
−0.949150 + 0.314825i \(0.898054\pi\)
\(318\) −3.54911 0.543409i −0.199024 0.0304729i
\(319\) 21.0684 + 14.3642i 1.17960 + 0.804241i
\(320\) −2.28984 + 7.07067i −0.128006 + 0.395263i
\(321\) −1.53406 1.92365i −0.0856230 0.107368i
\(322\) −7.97498 5.19402i −0.444428 0.289452i
\(323\) 0.213993 + 0.170654i 0.0119069 + 0.00949544i
\(324\) 3.56046 + 9.19781i 0.197803 + 0.510990i
\(325\) 9.85028 5.68706i 0.546395 0.315461i
\(326\) −3.61405 11.8142i −0.200163 0.654328i
\(327\) −1.07601 0.998387i −0.0595032 0.0552109i
\(328\) 1.66766 + 7.54958i 0.0920812 + 0.416856i
\(329\) −6.78550 16.1641i −0.374096 0.891154i
\(330\) 0.00615754 2.64043i 0.000338961 0.145351i
\(331\) −7.83959 + 3.07681i −0.430903 + 0.169117i −0.570872 0.821039i \(-0.693395\pi\)
0.139969 + 0.990156i \(0.455300\pi\)
\(332\) −18.4381 + 26.7746i −1.01192 + 1.46944i
\(333\) 4.84500 + 15.7071i 0.265504 + 0.860744i
\(334\) −8.55072 21.9372i −0.467875 1.20035i
\(335\) 0.509279 + 2.23130i 0.0278249 + 0.121909i
\(336\) 0.103253 + 7.31138i 0.00563290 + 0.398868i
\(337\) 4.55456 19.9549i 0.248103 1.08701i −0.685323 0.728239i \(-0.740339\pi\)
0.933426 0.358771i \(-0.116804\pi\)
\(338\) −7.61098 + 1.12902i −0.413983 + 0.0614108i
\(339\) 6.03403 + 2.36818i 0.327723 + 0.128622i
\(340\) 0.508011 0.0356883i 0.0275508 0.00193547i
\(341\) −16.3400 23.9664i −0.884860 1.29785i
\(342\) 1.53827 + 3.21340i 0.0831802 + 0.173761i
\(343\) −10.5009 + 15.2556i −0.566993 + 0.823723i
\(344\) 21.6245 + 5.09508i 1.16592 + 0.274708i
\(345\) 1.34901 0.919739i 0.0726282 0.0495171i
\(346\) −16.2231 6.41081i −0.872160 0.344647i
\(347\) −24.0091 9.42290i −1.28888 0.505848i −0.380804 0.924656i \(-0.624353\pi\)
−0.908075 + 0.418808i \(0.862448\pi\)
\(348\) 10.0408 6.77735i 0.538245 0.363304i
\(349\) 7.65664 + 1.74758i 0.409850 + 0.0935457i 0.422475 0.906375i \(-0.361161\pi\)
−0.0126245 + 0.999920i \(0.504019\pi\)
\(350\) 3.76226 + 15.0147i 0.201102 + 0.802570i
\(351\) −2.33448 10.2280i −0.124606 0.545933i
\(352\) −9.10979 13.7022i −0.485553 0.730328i
\(353\) 21.3394 6.58234i 1.13578 0.350343i 0.330836 0.943688i \(-0.392669\pi\)
0.804948 + 0.593346i \(0.202193\pi\)
\(354\) −1.59830 2.78331i −0.0849487 0.147931i
\(355\) 6.53725 2.56568i 0.346961 0.136172i
\(356\) 16.2887 7.75083i 0.863298 0.410793i
\(357\) 0.461979 0.193933i 0.0244505 0.0102640i
\(358\) −27.8031 22.2785i −1.46944 1.17746i
\(359\) 17.9658 + 16.6698i 0.948196 + 0.879797i 0.992870 0.119204i \(-0.0380343\pi\)
−0.0446737 + 0.999002i \(0.514225\pi\)
\(360\) 6.15333 + 2.46482i 0.324309 + 0.129908i
\(361\) −9.00137 15.5908i −0.473756 0.820570i
\(362\) 17.0667 + 1.31900i 0.897004 + 0.0693251i
\(363\) −1.37178 1.09396i −0.0719999 0.0574180i
\(364\) −1.89774 + 14.4243i −0.0994686 + 0.756038i
\(365\) −9.69493 + 7.73145i −0.507456 + 0.404682i
\(366\) 12.3813 8.39923i 0.647183 0.439035i
\(367\) 14.7012 + 10.0231i 0.767395 + 0.523201i 0.882591 0.470141i \(-0.155797\pi\)
−0.115196 + 0.993343i \(0.536749\pi\)
\(368\) 3.80530 9.43598i 0.198365 0.491884i
\(369\) 6.81862 1.02774i 0.354963 0.0535021i
\(370\) 7.70451 + 3.73245i 0.400538 + 0.194041i
\(371\) 5.28670 8.15882i 0.274472 0.423585i
\(372\) −13.4490 + 3.00372i −0.697299 + 0.155736i
\(373\) 10.2033 + 5.89088i 0.528307 + 0.305018i 0.740327 0.672247i \(-0.234671\pi\)
−0.212020 + 0.977265i \(0.568004\pi\)
\(374\) −0.637288 + 0.930062i −0.0329534 + 0.0480924i
\(375\) −5.79940 0.874119i −0.299480 0.0451393i
\(376\) 15.5580 10.4486i 0.802341 0.538843i
\(377\) 21.7159 10.4578i 1.11843 0.538606i
\(378\) 14.2566 + 0.766067i 0.733281 + 0.0394022i
\(379\) 9.53647 19.8027i 0.489856 1.01720i −0.498761 0.866739i \(-0.666212\pi\)
0.988617 0.150456i \(-0.0480742\pi\)
\(380\) 1.77049 + 0.555182i 0.0908245 + 0.0284802i
\(381\) −1.25326 + 0.0939189i −0.0642065 + 0.00481161i
\(382\) −19.5483 + 18.0536i −1.00018 + 0.923701i
\(383\) 1.02778 13.7147i 0.0525170 0.700790i −0.907357 0.420360i \(-0.861904\pi\)
0.959874 0.280430i \(-0.0904771\pi\)
\(384\) −7.64836 + 1.61481i −0.390304 + 0.0824053i
\(385\) 6.51245 + 2.95017i 0.331905 + 0.150355i
\(386\) 1.14633 + 5.07694i 0.0583466 + 0.258409i
\(387\) 5.84045 18.9343i 0.296887 0.962484i
\(388\) 2.77325 + 4.85557i 0.140790 + 0.246504i
\(389\) 10.5549 + 11.3755i 0.535156 + 0.576761i 0.941523 0.336949i \(-0.109395\pi\)
−0.406367 + 0.913710i \(0.633204\pi\)
\(390\) −2.15855 1.25296i −0.109303 0.0634462i
\(391\) −0.697159 −0.0352569
\(392\) −18.1668 7.87202i −0.917560 0.397597i
\(393\) −5.31843 −0.268279
\(394\) 8.12531 + 4.71645i 0.409347 + 0.237611i
\(395\) 5.22861 + 5.63510i 0.263080 + 0.283532i
\(396\) −12.7431 + 7.27819i −0.640364 + 0.365743i
\(397\) 11.7107 37.9651i 0.587743 1.90542i 0.219934 0.975515i \(-0.429416\pi\)
0.367809 0.929901i \(-0.380108\pi\)
\(398\) 2.81716 + 12.4768i 0.141212 + 0.625408i
\(399\) 1.82501 0.0428032i 0.0913649 0.00214284i
\(400\) −14.9752 + 7.04037i −0.748762 + 0.352018i
\(401\) −0.276133 + 3.68474i −0.0137894 + 0.184007i 0.986056 + 0.166415i \(0.0532191\pi\)
−0.999845 + 0.0175922i \(0.994400\pi\)
\(402\) −1.76839 + 1.63317i −0.0881992 + 0.0814550i
\(403\) −27.3415 + 2.04896i −1.36198 + 0.102066i
\(404\) −4.81870 + 15.3670i −0.239739 + 0.764537i
\(405\) 1.98781 4.12774i 0.0987753 0.205109i
\(406\) 5.57258 + 32.3245i 0.276562 + 1.60424i
\(407\) −17.0762 + 8.22345i −0.846434 + 0.407621i
\(408\) 0.298626 + 0.444656i 0.0147842 + 0.0220138i
\(409\) −18.1528 2.73609i −0.897596 0.135291i −0.315991 0.948762i \(-0.602337\pi\)
−0.581605 + 0.813471i \(0.697575\pi\)
\(410\) 2.03003 2.96264i 0.100256 0.146315i
\(411\) 5.07221 + 2.92844i 0.250194 + 0.144449i
\(412\) 1.52706 + 6.83733i 0.0752329 + 0.336851i
\(413\) 8.64865 0.852467i 0.425572 0.0419472i
\(414\) −8.16648 3.95626i −0.401360 0.194439i
\(415\) 14.9322 2.25067i 0.732995 0.110481i
\(416\) −15.5221 + 0.981366i −0.761034 + 0.0481154i
\(417\) −7.85198 5.35339i −0.384513 0.262157i
\(418\) −3.39947 + 2.30613i −0.166274 + 0.112796i
\(419\) −27.2972 + 21.7688i −1.33355 + 1.06347i −0.341208 + 0.939988i \(0.610836\pi\)
−0.992346 + 0.123486i \(0.960592\pi\)
\(420\) 2.44603 2.35662i 0.119354 0.114991i
\(421\) 16.6545 + 13.2815i 0.811691 + 0.647302i 0.938752 0.344593i \(-0.111983\pi\)
−0.127061 + 0.991895i \(0.540555\pi\)
\(422\) −12.6521 0.977820i −0.615895 0.0475995i
\(423\) −8.35733 14.4753i −0.406348 0.703815i
\(424\) 9.64791 + 3.86464i 0.468544 + 0.187683i
\(425\) 0.831180 + 0.771222i 0.0403181 + 0.0374098i
\(426\) 5.76406 + 4.61871i 0.279270 + 0.223777i
\(427\) 6.97547 + 39.9060i 0.337567 + 1.93119i
\(428\) 3.06022 + 6.43116i 0.147921 + 0.310862i
\(429\) 5.14358 2.01871i 0.248334 0.0974641i
\(430\) −5.13911 8.94934i −0.247830 0.431575i
\(431\) 9.28656 2.86453i 0.447318 0.137979i −0.0629087 0.998019i \(-0.520038\pi\)
0.510227 + 0.860040i \(0.329561\pi\)
\(432\) 2.13394 + 15.1130i 0.102669 + 0.727126i
\(433\) −8.45226 37.0318i −0.406190 1.77963i −0.601481 0.798887i \(-0.705422\pi\)
0.195291 0.980745i \(-0.437435\pi\)
\(434\) 7.53295 36.5448i 0.361593 1.75421i
\(435\) −5.48607 1.25216i −0.263037 0.0600364i
\(436\) 2.37709 + 3.52173i 0.113842 + 0.168660i
\(437\) −2.36451 0.928002i −0.113110 0.0443924i
\(438\) −12.1295 4.79316i −0.579571 0.229026i
\(439\) 1.16125 0.791729i 0.0554236 0.0377871i −0.535291 0.844667i \(-0.679798\pi\)
0.590715 + 0.806880i \(0.298846\pi\)
\(440\) −1.75285 + 7.43944i −0.0835639 + 0.354662i
\(441\) −8.10251 + 15.6897i −0.385834 + 0.747127i
\(442\) 0.460156 + 0.961251i 0.0218874 + 0.0457221i
\(443\) 19.6367 + 28.8018i 0.932970 + 1.36842i 0.929659 + 0.368421i \(0.120102\pi\)
0.00331110 + 0.999995i \(0.498946\pi\)
\(444\) 0.630998 + 8.98205i 0.0299459 + 0.426269i
\(445\) −7.80001 3.06128i −0.369756 0.145118i
\(446\) −7.37722 + 1.09435i −0.349321 + 0.0518189i
\(447\) −3.00113 + 13.1488i −0.141948 + 0.621917i
\(448\) 4.51452 20.6790i 0.213291 0.976989i
\(449\) 4.61070 + 20.2008i 0.217592 + 0.953335i 0.959251 + 0.282557i \(0.0911825\pi\)
−0.741658 + 0.670778i \(0.765960\pi\)
\(450\) 5.35983 + 13.7508i 0.252665 + 0.648221i
\(451\) 2.34360 + 7.59777i 0.110356 + 0.357765i
\(452\) −15.4536 10.6420i −0.726878 0.500559i
\(453\) −7.85670 + 3.08353i −0.369140 + 0.144877i
\(454\) −0.0240648 + 10.3193i −0.00112942 + 0.484310i
\(455\) 5.49293 3.93680i 0.257513 0.184560i
\(456\) 0.420941 + 1.90562i 0.0197124 + 0.0892388i
\(457\) −28.9598 26.8708i −1.35468 1.25696i −0.937432 0.348169i \(-0.886803\pi\)
−0.417250 0.908792i \(-0.637006\pi\)
\(458\) −3.86834 12.6455i −0.180755 0.590884i
\(459\) 0.905719 0.522917i 0.0422753 0.0244077i
\(460\) −4.40744 + 1.70611i −0.205498 + 0.0795479i
\(461\) −4.15552 3.31392i −0.193542 0.154345i 0.521924 0.852992i \(-0.325214\pi\)
−0.715466 + 0.698647i \(0.753786\pi\)
\(462\) 0.720157 + 7.48507i 0.0335047 + 0.348237i
\(463\) −13.2276 16.5869i −0.614739 0.770858i 0.372855 0.927890i \(-0.378379\pi\)
−0.987594 + 0.157031i \(0.949808\pi\)
\(464\) −32.7601 + 12.5060i −1.52085 + 0.580578i
\(465\) 5.28889 + 3.60590i 0.245266 + 0.167220i
\(466\) 30.2548 + 4.63236i 1.40153 + 0.214590i
\(467\) 1.36128 + 9.03152i 0.0629926 + 0.417929i 0.997995 + 0.0632881i \(0.0201587\pi\)
−0.935003 + 0.354641i \(0.884603\pi\)
\(468\) −0.0646968 + 13.8713i −0.00299061 + 0.641203i
\(469\) −2.06669 6.18155i −0.0954307 0.285437i
\(470\) −8.48261 1.95692i −0.391274 0.0902662i
\(471\) −3.83636 + 6.64478i −0.176770 + 0.306175i
\(472\) 2.67628 + 8.89679i 0.123186 + 0.409508i
\(473\) 22.5920 + 3.40520i 1.03878 + 0.156571i
\(474\) −2.40114 + 7.72035i −0.110288 + 0.354608i
\(475\) 1.79247 + 3.72210i 0.0822442 + 0.170782i
\(476\) −1.42981 + 0.243059i −0.0655350 + 0.0111406i
\(477\) 4.02186 8.35148i 0.184148 0.382388i
\(478\) −0.0703472 0.0655786i −0.00321761 0.00299950i
\(479\) −2.06055 27.4961i −0.0941489 1.25633i −0.821557 0.570126i \(-0.806894\pi\)
0.727409 0.686205i \(-0.240725\pi\)
\(480\) 2.97609 + 2.08031i 0.135839 + 0.0949525i
\(481\) −1.33881 + 17.8652i −0.0610444 + 0.814581i
\(482\) −12.5716 15.8399i −0.572620 0.721488i
\(483\) −3.56635 + 2.98352i −0.162275 + 0.135755i
\(484\) 3.14808 + 3.98556i 0.143095 + 0.181162i
\(485\) 0.765607 2.48204i 0.0347644 0.112703i
\(486\) 20.9523 1.52103i 0.950415 0.0689953i
\(487\) −8.55884 + 7.94145i −0.387838 + 0.359861i −0.849861 0.527007i \(-0.823314\pi\)
0.462023 + 0.886868i \(0.347124\pi\)
\(488\) −40.4242 + 15.5398i −1.82992 + 0.703455i
\(489\) −6.03598 −0.272956
\(490\) 3.09968 + 8.65880i 0.140029 + 0.391165i
\(491\) 32.4718i 1.46543i −0.680536 0.732715i \(-0.738253\pi\)
0.680536 0.732715i \(-0.261747\pi\)
\(492\) 3.76542 + 0.299846i 0.169758 + 0.0135181i
\(493\) 1.63429 + 1.76135i 0.0736049 + 0.0793272i
\(494\) 0.281141 + 3.87274i 0.0126491 + 0.174243i
\(495\) 6.51392 + 2.00928i 0.292779 + 0.0903104i
\(496\) 39.8876 + 0.372085i 1.79101 + 0.0167071i
\(497\) −17.8108 + 9.09769i −0.798922 + 0.408087i
\(498\) 9.87369 + 12.4406i 0.442451 + 0.557478i
\(499\) 18.6922 + 1.40078i 0.836776 + 0.0627077i 0.486223 0.873835i \(-0.338374\pi\)
0.350554 + 0.936543i \(0.385993\pi\)
\(500\) 15.7742 + 6.27598i 0.705444 + 0.280671i
\(501\) −11.4709 + 0.859623i −0.512481 + 0.0384051i
\(502\) 18.1673 19.4883i 0.810845 0.869806i
\(503\) −2.16828 1.04419i −0.0966789 0.0465581i 0.384919 0.922950i \(-0.374229\pi\)
−0.481598 + 0.876392i \(0.659944\pi\)
\(504\) −18.1280 5.26671i −0.807484 0.234598i
\(505\) 6.74005 3.24584i 0.299928 0.144438i
\(506\) 3.10737 9.99108i 0.138140 0.444158i
\(507\) −0.560267 + 3.71713i −0.0248823 + 0.165083i
\(508\) 3.59473 + 0.558977i 0.159490 + 0.0248006i
\(509\) 30.4006 + 17.5518i 1.34748 + 0.777969i 0.987892 0.155141i \(-0.0495831\pi\)
0.359590 + 0.933110i \(0.382916\pi\)
\(510\) 0.0559301 0.242438i 0.00247662 0.0107353i
\(511\) 25.3170 24.6203i 1.11996 1.08914i
\(512\) 22.6224 + 0.474872i 0.999780 + 0.0209866i
\(513\) 3.76793 0.567925i 0.166358 0.0250745i
\(514\) −6.02385 0.922321i −0.265700 0.0406818i
\(515\) 1.83320 2.68881i 0.0807805 0.118483i
\(516\) 5.47088 9.37459i 0.240842 0.412693i
\(517\) 15.0681 12.0164i 0.662695 0.528482i
\(518\) −22.8783 8.42603i −1.00522 0.370219i
\(519\) −5.31362 + 6.66307i −0.233242 + 0.292476i
\(520\) 5.26151 + 4.95092i 0.230733 + 0.217112i
\(521\) 16.9655 + 29.3851i 0.743271 + 1.28738i 0.950998 + 0.309197i \(0.100060\pi\)
−0.207727 + 0.978187i \(0.566606\pi\)
\(522\) 9.14866 + 29.9067i 0.400426 + 1.30898i
\(523\) 19.9375 21.4875i 0.871807 0.939584i −0.126822 0.991925i \(-0.540478\pi\)
0.998629 + 0.0523410i \(0.0166683\pi\)
\(524\) 14.9929 + 3.49568i 0.654967 + 0.152709i
\(525\) 7.55241 + 0.388161i 0.329614 + 0.0169408i
\(526\) −24.8839 0.0580298i −1.08499 0.00253022i
\(527\) −0.998573 2.54432i −0.0434985 0.110832i
\(528\) −7.70346 + 2.29773i −0.335250 + 0.0999959i
\(529\) −15.7957 + 4.87234i −0.686771 + 0.211841i
\(530\) −1.75329 4.49813i −0.0761582 0.195386i
\(531\) 8.07835 1.84383i 0.350571 0.0800154i
\(532\) −5.17292 1.07887i −0.224275 0.0467751i
\(533\) 7.32719 + 1.67238i 0.317376 + 0.0724389i
\(534\) −1.29319 8.71762i −0.0559616 0.377248i
\(535\) 1.20867 3.07963i 0.0522552 0.133144i
\(536\) 6.05861 3.44165i 0.261692 0.148657i
\(537\) −14.3818 + 9.80536i −0.620621 + 0.423132i
\(538\) −11.7134 24.4690i −0.505001 1.05493i
\(539\) −19.2813 6.54194i −0.830506 0.281781i
\(540\) 4.44625 5.52238i 0.191336 0.237646i
\(541\) −8.65743 12.6981i −0.372212 0.545935i 0.593740 0.804657i \(-0.297651\pi\)
−0.965952 + 0.258722i \(0.916698\pi\)
\(542\) −5.75692 + 14.5684i −0.247281 + 0.625767i
\(543\) 3.05534 7.78487i 0.131117 0.334081i
\(544\) −0.549578 1.44978i −0.0235630 0.0621590i
\(545\) 0.439183 1.92418i 0.0188125 0.0824230i
\(546\) 6.46766 + 2.94808i 0.276790 + 0.126166i
\(547\) −17.8806 + 4.08114i −0.764521 + 0.174497i −0.586963 0.809613i \(-0.699677\pi\)
−0.177558 + 0.984110i \(0.556820\pi\)
\(548\) −12.3740 11.5892i −0.528590 0.495068i
\(549\) 11.3851 + 36.9097i 0.485905 + 1.57527i
\(550\) −14.7572 + 8.47426i −0.629250 + 0.361343i
\(551\) 3.19836 + 8.14930i 0.136255 + 0.347172i
\(552\) −3.86455 3.12636i −0.164486 0.133067i
\(553\) −16.3928 14.5100i −0.697092 0.617030i
\(554\) 5.25911 + 4.21410i 0.223438 + 0.179040i
\(555\) 2.84487 3.06604i 0.120758 0.130146i
\(556\) 18.6164 + 20.2524i 0.789512 + 0.858891i
\(557\) −1.62022 + 0.935435i −0.0686509 + 0.0396356i −0.533933 0.845527i \(-0.679286\pi\)
0.465282 + 0.885163i \(0.345953\pi\)
\(558\) 2.74136 35.4707i 0.116051 1.50160i
\(559\) 13.4650 16.8845i 0.569507 0.714139i
\(560\) −8.44440 + 5.03569i −0.356841 + 0.212797i
\(561\) 0.343437 + 0.430656i 0.0144999 + 0.0181823i
\(562\) 7.96345 5.40223i 0.335918 0.227879i
\(563\) −11.0149 + 16.1558i −0.464221 + 0.680887i −0.984951 0.172834i \(-0.944707\pi\)
0.520730 + 0.853721i \(0.325660\pi\)
\(564\) −2.65797 8.76180i −0.111921 0.368938i
\(565\) 1.29903 + 8.61853i 0.0546508 + 0.362584i
\(566\) 6.22524 12.8501i 0.261666 0.540130i
\(567\) −4.48066 + 12.2539i −0.188170 + 0.514615i
\(568\) −13.2134 16.8089i −0.554420 0.705287i
\(569\) 14.5875 25.2662i 0.611538 1.05922i −0.379443 0.925215i \(-0.623884\pi\)
0.990981 0.134000i \(-0.0427823\pi\)
\(570\) 0.512409 0.747812i 0.0214624 0.0313224i
\(571\) 1.88722 12.5209i 0.0789776 0.523982i −0.914003 0.405707i \(-0.867025\pi\)
0.992981 0.118275i \(-0.0377365\pi\)
\(572\) −15.8268 + 2.31007i −0.661753 + 0.0965888i
\(573\) 5.64066 + 11.7129i 0.235642 + 0.489315i
\(574\) −4.92578 + 8.96364i −0.205598 + 0.374135i
\(575\) −9.48055 4.56559i −0.395366 0.190398i
\(576\) 1.78955 20.1014i 0.0745646 0.837560i
\(577\) 1.72785 + 23.0565i 0.0719313 + 0.959856i 0.910085 + 0.414422i \(0.136016\pi\)
−0.838154 + 0.545434i \(0.816365\pi\)
\(578\) 17.5838 16.2392i 0.731390 0.675463i
\(579\) 2.53572 + 0.190026i 0.105381 + 0.00789722i
\(580\) 14.6424 + 7.13575i 0.607994 + 0.296296i
\(581\) −41.6913 + 10.5501i −1.72965 + 0.437690i
\(582\) 2.66481 0.601692i 0.110460 0.0249409i
\(583\) 10.2133 + 3.15038i 0.422991 + 0.130476i
\(584\) 31.0432 + 21.4846i 1.28458 + 0.889038i
\(585\) 4.72341 4.38269i 0.195289 0.181202i
\(586\) −18.4870 10.7310i −0.763691 0.443295i
\(587\) 29.5253i 1.21864i 0.792925 + 0.609320i \(0.208557\pi\)
−0.792925 + 0.609320i \(0.791443\pi\)
\(588\) −6.27406 + 7.36229i −0.258738 + 0.303616i
\(589\) 9.95863i 0.410338i
\(590\) 2.16651 3.73238i 0.0891940 0.153660i
\(591\) 3.36472 3.12201i 0.138406 0.128422i
\(592\) 4.12488 25.7355i 0.169531 1.05772i
\(593\) −6.85920 2.11578i −0.281674 0.0868848i 0.150699 0.988580i \(-0.451847\pi\)
−0.432373 + 0.901695i \(0.642324\pi\)
\(594\) 3.45702 + 15.3107i 0.141843 + 0.628206i
\(595\) 0.536418 + 0.407575i 0.0219910 + 0.0167089i
\(596\) 17.1027 35.0945i 0.700554 1.43753i
\(597\) 6.23168 + 0.467000i 0.255046 + 0.0191130i
\(598\) −6.71011 7.26569i −0.274397 0.297116i
\(599\) 2.39997 + 32.0254i 0.0980602 + 1.30852i 0.801598 + 0.597864i \(0.203984\pi\)
−0.703537 + 0.710658i \(0.748397\pi\)
\(600\) 1.14898 + 8.00246i 0.0469069 + 0.326699i
\(601\) 15.8621 + 7.63879i 0.647029 + 0.311593i 0.728462 0.685086i \(-0.240235\pi\)
−0.0814333 + 0.996679i \(0.525950\pi\)
\(602\) 17.0650 + 23.9281i 0.695517 + 0.975235i
\(603\) −2.69638 5.59910i −0.109805 0.228013i
\(604\) 24.1751 3.52857i 0.983671 0.143576i
\(605\) 0.351622 2.33286i 0.0142955 0.0948442i
\(606\) 6.49063 + 4.44745i 0.263664 + 0.180665i
\(607\) 12.2897 21.2863i 0.498822 0.863984i −0.501177 0.865345i \(-0.667100\pi\)
0.999999 + 0.00136017i \(0.000432955\pi\)
\(608\) 0.0658672 5.64870i 0.00267127 0.229085i
\(609\) 15.8981 + 2.01625i 0.644222 + 0.0817027i
\(610\) 18.1046 + 8.77078i 0.733034 + 0.355119i
\(611\) −2.71517 18.0140i −0.109844 0.728769i
\(612\) −1.32327 + 0.401426i −0.0534901 + 0.0162267i
\(613\) 23.9848 35.1793i 0.968738 1.42088i 0.0625306 0.998043i \(-0.480083\pi\)
0.906207 0.422834i \(-0.138965\pi\)
\(614\) 25.9260 + 38.2177i 1.04629 + 1.54234i
\(615\) −1.09399 1.37182i −0.0441140 0.0553172i
\(616\) 2.88961 21.5741i 0.116426 0.869245i
\(617\) 14.7267 18.4668i 0.592876 0.743444i −0.391372 0.920232i \(-0.628000\pi\)
0.984249 + 0.176789i \(0.0565710\pi\)
\(618\) 3.41258 + 0.263741i 0.137274 + 0.0106092i
\(619\) 15.2944 8.83025i 0.614735 0.354918i −0.160081 0.987104i \(-0.551176\pi\)
0.774817 + 0.632186i \(0.217842\pi\)
\(620\) −12.5395 13.6415i −0.503599 0.547854i
\(621\) −6.60154 + 7.11477i −0.264911 + 0.285506i
\(622\) 7.86819 9.81934i 0.315486 0.393720i
\(623\) 22.9615 + 6.49715i 0.919933 + 0.260303i
\(624\) −1.75988 + 7.39202i −0.0704517 + 0.295918i
\(625\) 4.67584 + 11.9139i 0.187034 + 0.476554i
\(626\) −14.0867 24.5309i −0.563019 0.980450i
\(627\) 0.591558 + 1.91778i 0.0236245 + 0.0765889i
\(628\) 15.1823 16.2104i 0.605841 0.646864i
\(629\) −1.74116 + 0.397408i −0.0694245 + 0.0158457i
\(630\) 3.97064 + 7.81838i 0.158194 + 0.311492i
\(631\) −2.34904 + 10.2918i −0.0935139 + 0.409711i −0.999919 0.0126974i \(-0.995958\pi\)
0.906405 + 0.422409i \(0.138815\pi\)
\(632\) 11.8433 20.1858i 0.471102 0.802948i
\(633\) −2.26502 + 5.77119i −0.0900266 + 0.229384i
\(634\) −7.95465 3.14340i −0.315920 0.124840i
\(635\) −0.951935 1.39623i −0.0377764 0.0554078i
\(636\) 3.18437 3.95509i 0.126268 0.156829i
\(637\) −14.4680 + 12.6919i −0.573243 + 0.502871i
\(638\) −32.5265 + 15.5706i −1.28774 + 0.616446i
\(639\) −15.7555 + 10.7419i −0.623279 + 0.424945i
\(640\) −7.02239 7.82059i −0.277584 0.309136i
\(641\) −12.5738 + 32.0376i −0.496636 + 1.26541i 0.434479 + 0.900682i \(0.356933\pi\)
−0.931115 + 0.364726i \(0.881163\pi\)
\(642\) 3.44193 0.510581i 0.135842 0.0201510i
\(643\) 42.9975 + 9.81389i 1.69566 + 0.387022i 0.957687 0.287813i \(-0.0929282\pi\)
0.737968 + 0.674835i \(0.235785\pi\)
\(644\) 12.0147 6.06659i 0.473445 0.239057i
\(645\) −4.91550 + 1.12193i −0.193548 + 0.0441760i
\(646\) −0.360652 + 0.140576i −0.0141897 + 0.00553089i
\(647\) −38.8652 + 11.9883i −1.52795 + 0.471309i −0.941026 0.338335i \(-0.890136\pi\)
−0.586921 + 0.809644i \(0.699660\pi\)
\(648\) −13.7776 2.17532i −0.541234 0.0854546i
\(649\) 3.49057 + 8.89384i 0.137017 + 0.349114i
\(650\) −0.0375114 + 16.0854i −0.00147132 + 0.630921i
\(651\) −15.9968 8.74218i −0.626963 0.342633i
\(652\) 17.0157 + 3.96730i 0.666386 + 0.155372i
\(653\) 8.81553 9.50088i 0.344978 0.371798i −0.536599 0.843837i \(-0.680291\pi\)
0.881578 + 0.472039i \(0.156482\pi\)
\(654\) 1.98504 0.607238i 0.0776212 0.0237449i
\(655\) −3.57559 6.19311i −0.139710 0.241985i
\(656\) −10.4178 3.32020i −0.406747 0.129632i
\(657\) 20.9935 26.3250i 0.819033 1.02703i
\(658\) 24.5876 + 3.17657i 0.958524 + 0.123836i
\(659\) 15.6060 12.4454i 0.607924 0.484803i −0.270478 0.962726i \(-0.587182\pi\)
0.878402 + 0.477923i \(0.158610\pi\)
\(660\) 3.22512 + 1.88213i 0.125538 + 0.0732620i
\(661\) −26.9637 + 39.5484i −1.04876 + 1.53826i −0.222533 + 0.974925i \(0.571432\pi\)
−0.826232 + 0.563330i \(0.809520\pi\)
\(662\) 1.80258 11.7730i 0.0700591 0.457569i
\(663\) 0.514851 0.0776013i 0.0199952 0.00301378i
\(664\) −19.6574 41.5604i −0.762856 1.61286i
\(665\) 1.27680 + 2.09638i 0.0495123 + 0.0812942i
\(666\) −22.6510 5.22555i −0.877709 0.202486i
\(667\) −19.3110 11.1492i −0.747726 0.431700i
\(668\) 32.9019 + 5.11621i 1.27301 + 0.197952i
\(669\) −0.543059 + 3.60296i −0.0209959 + 0.139299i
\(670\) −3.09065 0.961239i −0.119402 0.0371359i
\(671\) −40.1268 + 19.3240i −1.54908 + 0.745996i
\(672\) −9.01580 5.06451i −0.347792 0.195368i
\(673\) 21.9773 + 10.5837i 0.847165 + 0.407973i 0.806524 0.591201i \(-0.201346\pi\)
0.0406402 + 0.999174i \(0.487060\pi\)
\(674\) 21.1731 + 19.7378i 0.815556 + 0.760272i
\(675\) 15.7412 1.17964i 0.605880 0.0454044i
\(676\) 4.02260 10.1105i 0.154715 0.388865i
\(677\) −11.2592 0.843762i −0.432727 0.0324284i −0.143414 0.989663i \(-0.545808\pi\)
−0.289313 + 0.957234i \(0.593427\pi\)
\(678\) −7.18043 + 5.69886i −0.275763 + 0.218863i
\(679\) −1.47648 + 7.24831i −0.0566620 + 0.278165i
\(680\) −0.317018 + 0.646682i −0.0121571 + 0.0247991i
\(681\) 4.81764 + 1.48605i 0.184612 + 0.0569454i
\(682\) 40.9138 2.97014i 1.56667 0.113732i
\(683\) 1.08081 + 1.16484i 0.0413561 + 0.0445713i 0.753391 0.657573i \(-0.228417\pi\)
−0.712035 + 0.702144i \(0.752226\pi\)
\(684\) −5.02240 0.399942i −0.192036 0.0152921i
\(685\) 7.87519i 0.300896i
\(686\) −11.2038 23.6744i −0.427762 0.903892i
\(687\) −6.46068 −0.246490
\(688\) −21.5843 + 22.8315i −0.822895 + 0.870443i
\(689\) 7.40592 6.87169i 0.282143 0.261790i
\(690\) 0.167182 + 2.30294i 0.00636451 + 0.0876715i
\(691\) 1.20532 3.90757i 0.0458527 0.148651i −0.929752 0.368188i \(-0.879978\pi\)
0.975604 + 0.219537i \(0.0704546\pi\)
\(692\) 19.3588 15.2910i 0.735911 0.581275i
\(693\) −19.0227 3.87491i −0.722612 0.147196i
\(694\) 28.5706 22.6755i 1.08453 0.860751i
\(695\) 0.954913 12.7424i 0.0362219 0.483348i
\(696\) 1.16072 + 17.0925i 0.0439969 + 0.647891i
\(697\) 0.0559890 + 0.747121i 0.00212073 + 0.0282992i
\(698\) −7.57336 + 8.12406i −0.286656 + 0.307500i
\(699\) 6.48810 13.4727i 0.245402 0.509584i
\(700\) −21.0354 6.05826i −0.795065 0.228981i
\(701\) −1.49683 3.10821i −0.0565346 0.117395i 0.870787 0.491660i \(-0.163610\pi\)
−0.927322 + 0.374264i \(0.877895\pi\)
\(702\) 14.1672 + 4.40622i 0.534708 + 0.166302i
\(703\) −6.43437 0.969825i −0.242677 0.0365776i
\(704\) 23.2266 1.41410i 0.875386 0.0532960i
\(705\) −2.12656 + 3.68331i −0.0800910 + 0.138722i
\(706\) −7.09935 + 30.7733i −0.267188 + 1.15817i
\(707\) −18.1955 + 11.0820i −0.684313 + 0.416782i
\(708\) 4.53897 + 0.0211701i 0.170585 + 0.000795619i
\(709\) −4.14138 27.4763i −0.155533 1.03189i −0.921322 0.388801i \(-0.872889\pi\)
0.765789 0.643092i \(-0.222349\pi\)
\(710\) −1.50313 + 9.81720i −0.0564113 + 0.368433i
\(711\) −17.2463 11.7583i −0.646786 0.440971i
\(712\) −2.08434 + 25.4253i −0.0781139 + 0.952855i
\(713\) 15.8152 + 19.8316i 0.592283 + 0.742700i
\(714\) −0.0907882 + 0.702728i −0.00339766 + 0.0262989i
\(715\) 5.80875 + 4.63232i 0.217235 + 0.173239i
\(716\) 46.9878 18.1889i 1.75602 0.679751i
\(717\) −0.0406915 + 0.0234932i −0.00151965 + 0.000877370i
\(718\) −33.1437 + 10.1389i −1.23691 + 0.378380i
\(719\) −37.3906 34.6934i −1.39444 1.29385i −0.907277 0.420533i \(-0.861843\pi\)
−0.487158 0.873314i \(-0.661966\pi\)
\(720\) −7.38333 + 5.77617i −0.275161 + 0.215265i
\(721\) −4.44443 + 8.13258i −0.165519 + 0.302873i
\(722\) 25.4597 + 0.0593724i 0.947510 + 0.00220961i
\(723\) −9.19693 + 3.60953i −0.342038 + 0.134240i
\(724\) −13.7299 + 19.9377i −0.510269 + 0.740978i
\(725\) 10.6897 + 34.6551i 0.397004 + 1.28706i
\(726\) 2.31193 0.901148i 0.0858036 0.0334447i
\(727\) 1.34039 + 5.87265i 0.0497125 + 0.217805i 0.993683 0.112226i \(-0.0357981\pi\)
−0.943970 + 0.330031i \(0.892941\pi\)
\(728\) −16.2949 12.5618i −0.603930 0.465571i
\(729\) −1.00823 + 4.41734i −0.0373418 + 0.163605i
\(730\) −2.57325 17.3468i −0.0952404 0.642034i
\(731\) 2.00405 + 0.786532i 0.0741225 + 0.0290909i
\(732\) 1.48276 + 21.1067i 0.0548046 + 0.780125i
\(733\) −24.2699 35.5974i −0.896429 1.31482i −0.948697 0.316187i \(-0.897597\pi\)
0.0522677 0.998633i \(-0.483355\pi\)
\(734\) −22.6964 + 10.8649i −0.837741 + 0.401031i
\(735\) 4.48830 0.210650i 0.165553 0.00776993i
\(736\) 8.83946 + 11.3534i 0.325827 + 0.418492i
\(737\) 5.92055 4.03656i 0.218086 0.148689i
\(738\) −3.58393 + 9.06945i −0.131926 + 0.333851i
\(739\) −36.1733 14.1970i −1.33066 0.522244i −0.409811 0.912171i \(-0.634405\pi\)
−0.920846 + 0.389926i \(0.872500\pi\)
\(740\) −10.0350 + 6.77343i −0.368895 + 0.248996i
\(741\) 1.84948 + 0.422133i 0.0679425 + 0.0155074i
\(742\) 6.22564 + 12.2586i 0.228550 + 0.450026i
\(743\) 8.69634 + 38.1012i 0.319038 + 1.39780i 0.839244 + 0.543756i \(0.182998\pi\)
−0.520206 + 0.854041i \(0.674145\pi\)
\(744\) 5.87444 18.5819i 0.215367 0.681246i
\(745\) −17.3289 + 5.34527i −0.634883 + 0.195836i
\(746\) −14.4490 + 8.29729i −0.529017 + 0.303785i
\(747\) −38.1695 + 14.9804i −1.39655 + 0.548105i
\(748\) −0.685103 1.43977i −0.0250498 0.0526432i
\(749\) −2.56523 + 9.06576i −0.0937315 + 0.331255i
\(750\) 5.18647 6.47261i 0.189383 0.236346i
\(751\) 9.03817 + 8.38619i 0.329807 + 0.306017i 0.827643 0.561255i \(-0.189681\pi\)
−0.497836 + 0.867271i \(0.665872\pi\)
\(752\) 1.73400 + 26.4469i 0.0632326 + 0.964420i
\(753\) −6.50833 11.2728i −0.237177 0.410802i
\(754\) −2.62656 + 33.9852i −0.0956535 + 1.23767i
\(755\) −8.87272 7.07576i −0.322912 0.257513i
\(756\) −11.0586 + 16.8933i −0.402198 + 0.614403i
\(757\) −27.4783 + 21.9132i −0.998715 + 0.796449i −0.979104 0.203359i \(-0.934814\pi\)
−0.0196109 + 0.999808i \(0.506243\pi\)
\(758\) 17.4500 + 25.7231i 0.633812 + 0.934306i
\(759\) −4.22364 2.87963i −0.153308 0.104524i
\(760\) −1.93602 + 1.77132i −0.0702269 + 0.0642526i
\(761\) −7.40428 + 1.11601i −0.268405 + 0.0404555i −0.281866 0.959454i \(-0.590953\pi\)
0.0134609 + 0.999909i \(0.495715\pi\)
\(762\) 0.774894 1.59953i 0.0280715 0.0579449i
\(763\) −0.707182 + 5.57610i −0.0256017 + 0.201868i
\(764\) −8.20262 36.7268i −0.296760 1.32873i
\(765\) 0.556281 + 0.321169i 0.0201124 + 0.0116119i
\(766\) 16.0447 + 10.9940i 0.579719 + 0.397229i
\(767\) 8.93023 + 1.34602i 0.322452 + 0.0486018i
\(768\) 3.45498 10.5011i 0.124671 0.378926i
\(769\) 0.925590 0.445741i 0.0333776 0.0160738i −0.417120 0.908851i \(-0.636961\pi\)
0.450498 + 0.892777i \(0.351246\pi\)
\(770\) −8.23192 + 5.87083i −0.296658 + 0.211570i
\(771\) −1.29181 + 2.68247i −0.0465233 +