Properties

Label 74.2.h.a.21.2
Level $74$
Weight $2$
Character 74.21
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.h (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\Q(\zeta_{36})\)
Defining polynomial: \( x^{12} - x^{6} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 21.2
Root \(0.342020 - 0.939693i\) of defining polynomial
Character \(\chi\) \(=\) 74.21
Dual form 74.2.h.a.67.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.342020 - 0.939693i) q^{2} +(0.326352 - 0.118782i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(0.839712 + 0.148064i) q^{5} -0.347296i q^{6} +(0.240460 - 1.36372i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-2.20574 + 1.85083i) q^{9} +O(q^{10})\) \(q+(0.342020 - 0.939693i) q^{2} +(0.326352 - 0.118782i) q^{3} +(-0.766044 - 0.642788i) q^{4} +(0.839712 + 0.148064i) q^{5} -0.347296i q^{6} +(0.240460 - 1.36372i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-2.20574 + 1.85083i) q^{9} +(0.426333 - 0.738430i) q^{10} +(0.466006 + 0.807147i) q^{11} +(-0.326352 - 0.118782i) q^{12} +(-2.34092 + 2.78980i) q^{13} +(-1.19923 - 0.692377i) q^{14} +(0.291629 - 0.0514220i) q^{15} +(0.173648 + 0.984808i) q^{16} +(2.84539 + 3.39101i) q^{17} +(0.984808 + 2.70574i) q^{18} +(-1.30826 - 3.59443i) q^{19} +(-0.548083 - 0.653180i) q^{20} +(-0.0835109 - 0.473614i) q^{21} +(0.917853 - 0.161842i) q^{22} +(0.920780 + 0.531613i) q^{23} +(-0.223238 + 0.266044i) q^{24} +(-4.01527 - 1.46144i) q^{25} +(1.82091 + 3.15391i) q^{26} +(-1.02094 + 1.76833i) q^{27} +(-1.06078 + 0.890103i) q^{28} +(0.873775 - 0.504474i) q^{29} +(0.0514220 - 0.291629i) q^{30} -7.33920i q^{31} +(0.984808 + 0.173648i) q^{32} +(0.247957 + 0.208060i) q^{33} +(4.15968 - 1.51400i) q^{34} +(0.403834 - 1.10953i) q^{35} +2.87939 q^{36} +(1.15600 - 5.97191i) q^{37} -3.82511 q^{38} +(-0.432584 + 1.18851i) q^{39} +(-0.801244 + 0.291629i) q^{40} +(-0.186251 - 0.156283i) q^{41} +(-0.473614 - 0.0835109i) q^{42} -5.13740i q^{43} +(0.161842 - 0.917853i) q^{44} +(-2.12622 + 1.22758i) q^{45} +(0.814478 - 0.683428i) q^{46} +(3.89795 - 6.75145i) q^{47} +(0.173648 + 0.300767i) q^{48} +(4.77595 + 1.73830i) q^{49} +(-2.74661 + 3.27328i) q^{50} +(1.33139 + 0.768679i) q^{51} +(3.58649 - 0.632396i) q^{52} +(2.25380 + 12.7819i) q^{53} +(1.31250 + 1.56418i) q^{54} +(0.271802 + 0.746769i) q^{55} +(0.473614 + 1.30124i) q^{56} +(-0.853909 - 1.01765i) q^{57} +(-0.175202 - 0.993621i) q^{58} +(-9.61896 + 1.69608i) q^{59} +(-0.256454 - 0.148064i) q^{60} +(0.255191 - 0.304124i) q^{61} +(-6.89659 - 2.51015i) q^{62} +(1.99362 + 3.45305i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-2.37876 + 1.99602i) q^{65} +(0.280319 - 0.161842i) q^{66} +(-2.47277 + 14.0238i) q^{67} -4.42664i q^{68} +(0.363645 + 0.0641204i) q^{69} +(-0.904494 - 0.758960i) q^{70} +(12.8449 - 4.67517i) q^{71} +(0.984808 - 2.70574i) q^{72} -13.1543 q^{73} +(-5.21638 - 3.12879i) q^{74} -1.48398 q^{75} +(-1.30826 + 3.59443i) q^{76} +(1.21278 - 0.441414i) q^{77} +(0.968886 + 0.812992i) q^{78} +(3.43258 + 0.605257i) q^{79} +0.852666i q^{80} +(1.37686 - 7.80856i) q^{81} +(-0.210560 + 0.121567i) q^{82} +(-12.8078 + 10.7470i) q^{83} +(-0.240460 + 0.416489i) q^{84} +(1.88722 + 3.26877i) q^{85} +(-4.82758 - 1.75710i) q^{86} +(0.225236 - 0.268425i) q^{87} +(-0.807147 - 0.466006i) q^{88} +(6.19352 - 1.09209i) q^{89} +(0.426333 + 2.41785i) q^{90} +(3.24160 + 3.86318i) q^{91} +(-0.363645 - 0.999105i) q^{92} +(-0.871767 - 2.39516i) q^{93} +(-5.01111 - 5.97200i) q^{94} +(-0.566360 - 3.21199i) q^{95} +(0.342020 - 0.0603074i) q^{96} +(6.47160 + 3.73638i) q^{97} +(3.26694 - 3.89339i) q^{98} +(-2.52178 - 0.917853i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.342020 0.939693i 0.241845 0.664463i
\(3\) 0.326352 0.118782i 0.188419 0.0685790i −0.246087 0.969248i \(-0.579145\pi\)
0.434507 + 0.900669i \(0.356923\pi\)
\(4\) −0.766044 0.642788i −0.383022 0.321394i
\(5\) 0.839712 + 0.148064i 0.375530 + 0.0662162i 0.358228 0.933634i \(-0.383381\pi\)
0.0173025 + 0.999850i \(0.494492\pi\)
\(6\) 0.347296i 0.141783i
\(7\) 0.240460 1.36372i 0.0908854 0.515437i −0.905045 0.425315i \(-0.860163\pi\)
0.995931 0.0901216i \(-0.0287256\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) −2.20574 + 1.85083i −0.735246 + 0.616944i
\(10\) 0.426333 0.738430i 0.134818 0.233512i
\(11\) 0.466006 + 0.807147i 0.140506 + 0.243364i 0.927687 0.373358i \(-0.121794\pi\)
−0.787181 + 0.616722i \(0.788460\pi\)
\(12\) −0.326352 0.118782i −0.0942097 0.0342895i
\(13\) −2.34092 + 2.78980i −0.649254 + 0.773750i −0.985801 0.167916i \(-0.946296\pi\)
0.336548 + 0.941666i \(0.390741\pi\)
\(14\) −1.19923 0.692377i −0.320508 0.185046i
\(15\) 0.291629 0.0514220i 0.0752982 0.0132771i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 2.84539 + 3.39101i 0.690109 + 0.822440i 0.991369 0.131102i \(-0.0418517\pi\)
−0.301260 + 0.953542i \(0.597407\pi\)
\(18\) 0.984808 + 2.70574i 0.232121 + 0.637748i
\(19\) −1.30826 3.59443i −0.300136 0.824618i −0.994475 0.104970i \(-0.966525\pi\)
0.694339 0.719648i \(-0.255697\pi\)
\(20\) −0.548083 0.653180i −0.122555 0.146055i
\(21\) −0.0835109 0.473614i −0.0182236 0.103351i
\(22\) 0.917853 0.161842i 0.195687 0.0345049i
\(23\) 0.920780 + 0.531613i 0.191996 + 0.110849i 0.592917 0.805264i \(-0.297976\pi\)
−0.400921 + 0.916113i \(0.631310\pi\)
\(24\) −0.223238 + 0.266044i −0.0455682 + 0.0543061i
\(25\) −4.01527 1.46144i −0.803054 0.292288i
\(26\) 1.82091 + 3.15391i 0.357110 + 0.618532i
\(27\) −1.02094 + 1.76833i −0.196481 + 0.340315i
\(28\) −1.06078 + 0.890103i −0.200469 + 0.168214i
\(29\) 0.873775 0.504474i 0.162256 0.0936786i −0.416673 0.909056i \(-0.636804\pi\)
0.578929 + 0.815378i \(0.303471\pi\)
\(30\) 0.0514220 0.291629i 0.00938833 0.0532439i
\(31\) 7.33920i 1.31816i −0.752073 0.659080i \(-0.770946\pi\)
0.752073 0.659080i \(-0.229054\pi\)
\(32\) 0.984808 + 0.173648i 0.174091 + 0.0306970i
\(33\) 0.247957 + 0.208060i 0.0431637 + 0.0362187i
\(34\) 4.15968 1.51400i 0.713380 0.259649i
\(35\) 0.403834 1.10953i 0.0682605 0.187544i
\(36\) 2.87939 0.479898
\(37\) 1.15600 5.97191i 0.190045 0.981775i
\(38\) −3.82511 −0.620515
\(39\) −0.432584 + 1.18851i −0.0692689 + 0.190315i
\(40\) −0.801244 + 0.291629i −0.126688 + 0.0461106i
\(41\) −0.186251 0.156283i −0.0290876 0.0244074i 0.628128 0.778110i \(-0.283821\pi\)
−0.657216 + 0.753703i \(0.728266\pi\)
\(42\) −0.473614 0.0835109i −0.0730802 0.0128860i
\(43\) 5.13740i 0.783447i −0.920083 0.391723i \(-0.871879\pi\)
0.920083 0.391723i \(-0.128121\pi\)
\(44\) 0.161842 0.917853i 0.0243986 0.138372i
\(45\) −2.12622 + 1.22758i −0.316959 + 0.182996i
\(46\) 0.814478 0.683428i 0.120088 0.100766i
\(47\) 3.89795 6.75145i 0.568574 0.984800i −0.428133 0.903716i \(-0.640829\pi\)
0.996707 0.0810838i \(-0.0258381\pi\)
\(48\) 0.173648 + 0.300767i 0.0250640 + 0.0434120i
\(49\) 4.77595 + 1.73830i 0.682278 + 0.248329i
\(50\) −2.74661 + 3.27328i −0.388429 + 0.462911i
\(51\) 1.33139 + 0.768679i 0.186432 + 0.107637i
\(52\) 3.58649 0.632396i 0.497357 0.0876975i
\(53\) 2.25380 + 12.7819i 0.309583 + 1.75573i 0.601106 + 0.799170i \(0.294727\pi\)
−0.291522 + 0.956564i \(0.594162\pi\)
\(54\) 1.31250 + 1.56418i 0.178609 + 0.212858i
\(55\) 0.271802 + 0.746769i 0.0366497 + 0.100694i
\(56\) 0.473614 + 1.30124i 0.0632893 + 0.173886i
\(57\) −0.853909 1.01765i −0.113103 0.134791i
\(58\) −0.175202 0.993621i −0.0230052 0.130469i
\(59\) −9.61896 + 1.69608i −1.25228 + 0.220811i −0.760172 0.649722i \(-0.774885\pi\)
−0.492110 + 0.870533i \(0.663774\pi\)
\(60\) −0.256454 0.148064i −0.0331081 0.0191150i
\(61\) 0.255191 0.304124i 0.0326738 0.0389391i −0.749460 0.662050i \(-0.769687\pi\)
0.782134 + 0.623110i \(0.214131\pi\)
\(62\) −6.89659 2.51015i −0.875868 0.318790i
\(63\) 1.99362 + 3.45305i 0.251173 + 0.435044i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −2.37876 + 1.99602i −0.295049 + 0.247576i
\(66\) 0.280319 0.161842i 0.0345049 0.0199214i
\(67\) −2.47277 + 14.0238i −0.302097 + 1.71328i 0.334765 + 0.942302i \(0.391343\pi\)
−0.636862 + 0.770978i \(0.719768\pi\)
\(68\) 4.42664i 0.536809i
\(69\) 0.363645 + 0.0641204i 0.0437777 + 0.00771918i
\(70\) −0.904494 0.758960i −0.108108 0.0907131i
\(71\) 12.8449 4.67517i 1.52441 0.554840i 0.562166 0.827024i \(-0.309968\pi\)
0.962245 + 0.272184i \(0.0877459\pi\)
\(72\) 0.984808 2.70574i 0.116061 0.318874i
\(73\) −13.1543 −1.53959 −0.769794 0.638292i \(-0.779641\pi\)
−0.769794 + 0.638292i \(0.779641\pi\)
\(74\) −5.21638 3.12879i −0.606392 0.363715i
\(75\) −1.48398 −0.171356
\(76\) −1.30826 + 3.59443i −0.150068 + 0.412309i
\(77\) 1.21278 0.441414i 0.138209 0.0503038i
\(78\) 0.968886 + 0.812992i 0.109705 + 0.0920532i
\(79\) 3.43258 + 0.605257i 0.386196 + 0.0680968i 0.363375 0.931643i \(-0.381624\pi\)
0.0228205 + 0.999740i \(0.492735\pi\)
\(80\) 0.852666i 0.0953309i
\(81\) 1.37686 7.80856i 0.152984 0.867617i
\(82\) −0.210560 + 0.121567i −0.0232525 + 0.0134248i
\(83\) −12.8078 + 10.7470i −1.40584 + 1.17964i −0.447399 + 0.894335i \(0.647649\pi\)
−0.958438 + 0.285302i \(0.907906\pi\)
\(84\) −0.240460 + 0.416489i −0.0262363 + 0.0454427i
\(85\) 1.88722 + 3.26877i 0.204698 + 0.354548i
\(86\) −4.82758 1.75710i −0.520571 0.189472i
\(87\) 0.225236 0.268425i 0.0241478 0.0287782i
\(88\) −0.807147 0.466006i −0.0860421 0.0496764i
\(89\) 6.19352 1.09209i 0.656512 0.115761i 0.164538 0.986371i \(-0.447387\pi\)
0.491974 + 0.870610i \(0.336275\pi\)
\(90\) 0.426333 + 2.41785i 0.0449394 + 0.254864i
\(91\) 3.24160 + 3.86318i 0.339812 + 0.404972i
\(92\) −0.363645 0.999105i −0.0379126 0.104164i
\(93\) −0.871767 2.39516i −0.0903981 0.248367i
\(94\) −5.01111 5.97200i −0.516856 0.615965i
\(95\) −0.566360 3.21199i −0.0581073 0.329543i
\(96\) 0.342020 0.0603074i 0.0349073 0.00615510i
\(97\) 6.47160 + 3.73638i 0.657092 + 0.379372i 0.791168 0.611599i \(-0.209473\pi\)
−0.134076 + 0.990971i \(0.542807\pi\)
\(98\) 3.26694 3.89339i 0.330011 0.393291i
\(99\) −2.52178 0.917853i −0.253449 0.0922477i
\(100\) 2.13648 + 3.70049i 0.213648 + 0.370049i
\(101\) 2.01440 3.48904i 0.200440 0.347173i −0.748230 0.663439i \(-0.769096\pi\)
0.948670 + 0.316267i \(0.102429\pi\)
\(102\) 1.17768 0.988194i 0.116608 0.0978458i
\(103\) 0.201874 0.116552i 0.0198912 0.0114842i −0.490021 0.871710i \(-0.663011\pi\)
0.509913 + 0.860226i \(0.329678\pi\)
\(104\) 0.632396 3.58649i 0.0620115 0.351685i
\(105\) 0.410064i 0.0400182i
\(106\) 12.7819 + 2.25380i 1.24149 + 0.218908i
\(107\) 4.94031 + 4.14542i 0.477598 + 0.400753i 0.849557 0.527497i \(-0.176869\pi\)
−0.371959 + 0.928249i \(0.621314\pi\)
\(108\) 1.91875 0.698367i 0.184632 0.0672004i
\(109\) 4.71183 12.9456i 0.451311 1.23997i −0.480491 0.877000i \(-0.659542\pi\)
0.931802 0.362967i \(-0.118236\pi\)
\(110\) 0.794695 0.0757712
\(111\) −0.332095 2.08625i −0.0315211 0.198019i
\(112\) 1.38475 0.130847
\(113\) 1.45712 4.00340i 0.137074 0.376608i −0.852095 0.523387i \(-0.824668\pi\)
0.989169 + 0.146779i \(0.0468905\pi\)
\(114\) −1.24833 + 0.454355i −0.116917 + 0.0425543i
\(115\) 0.694477 + 0.582736i 0.0647604 + 0.0543404i
\(116\) −0.993621 0.175202i −0.0922554 0.0162671i
\(117\) 10.4862i 0.969450i
\(118\) −1.69608 + 9.61896i −0.156137 + 0.885497i
\(119\) 5.30857 3.06491i 0.486636 0.280960i
\(120\) −0.226847 + 0.190347i −0.0207082 + 0.0173762i
\(121\) 5.06568 8.77401i 0.460516 0.797637i
\(122\) −0.198503 0.343818i −0.0179716 0.0311278i
\(123\) −0.0793472 0.0288800i −0.00715449 0.00260402i
\(124\) −4.71755 + 5.62215i −0.423648 + 0.504884i
\(125\) −6.84743 3.95337i −0.612453 0.353600i
\(126\) 3.92667 0.692377i 0.349815 0.0616819i
\(127\) 2.00201 + 11.3540i 0.177649 + 1.00750i 0.935041 + 0.354539i \(0.115362\pi\)
−0.757392 + 0.652961i \(0.773527\pi\)
\(128\) −0.642788 0.766044i −0.0568149 0.0677094i
\(129\) −0.610233 1.67660i −0.0537280 0.147616i
\(130\) 1.06206 + 2.91799i 0.0931488 + 0.255924i
\(131\) −6.71929 8.00774i −0.587067 0.699640i 0.387972 0.921671i \(-0.373176\pi\)
−0.975039 + 0.222032i \(0.928731\pi\)
\(132\) −0.0562072 0.318767i −0.00489221 0.0277451i
\(133\) −5.21637 + 0.919786i −0.452316 + 0.0797556i
\(134\) 12.3323 + 7.12007i 1.06535 + 0.615080i
\(135\) −1.11912 + 1.33372i −0.0963189 + 0.114788i
\(136\) −4.15968 1.51400i −0.356690 0.129825i
\(137\) 3.38948 + 5.87074i 0.289582 + 0.501572i 0.973710 0.227791i \(-0.0731502\pi\)
−0.684128 + 0.729362i \(0.739817\pi\)
\(138\) 0.184627 0.319784i 0.0157165 0.0272218i
\(139\) −14.6691 + 12.3088i −1.24421 + 1.04402i −0.247032 + 0.969007i \(0.579455\pi\)
−0.997183 + 0.0750129i \(0.976100\pi\)
\(140\) −1.02254 + 0.590366i −0.0864208 + 0.0498951i
\(141\) 0.470150 2.66635i 0.0395938 0.224548i
\(142\) 13.6693i 1.14710i
\(143\) −3.34266 0.589401i −0.279527 0.0492882i
\(144\) −2.20574 1.85083i −0.183811 0.154236i
\(145\) 0.808414 0.294239i 0.0671351 0.0244352i
\(146\) −4.49902 + 12.3610i −0.372341 + 1.02300i
\(147\) 1.76512 0.145584
\(148\) −4.72421 + 3.83169i −0.388328 + 0.314963i
\(149\) 4.47583 0.366674 0.183337 0.983050i \(-0.441310\pi\)
0.183337 + 0.983050i \(0.441310\pi\)
\(150\) −0.507552 + 1.39449i −0.0414415 + 0.113860i
\(151\) −8.30906 + 3.02425i −0.676181 + 0.246110i −0.657207 0.753710i \(-0.728262\pi\)
−0.0189744 + 0.999820i \(0.506040\pi\)
\(152\) 2.93020 + 2.45873i 0.237671 + 0.199430i
\(153\) −12.5524 2.21332i −1.01480 0.178936i
\(154\) 1.29061i 0.104000i
\(155\) 1.08667 6.16281i 0.0872834 0.495009i
\(156\) 1.09534 0.632396i 0.0876975 0.0506322i
\(157\) −14.1119 + 11.8413i −1.12626 + 0.945041i −0.998903 0.0468171i \(-0.985092\pi\)
−0.127352 + 0.991858i \(0.540648\pi\)
\(158\) 1.74277 3.01856i 0.138647 0.240144i
\(159\) 2.25380 + 3.90370i 0.178738 + 0.309583i
\(160\) 0.801244 + 0.291629i 0.0633439 + 0.0230553i
\(161\) 0.946380 1.12785i 0.0745852 0.0888872i
\(162\) −6.86673 3.96451i −0.539501 0.311481i
\(163\) 9.09259 1.60327i 0.712186 0.125578i 0.194194 0.980963i \(-0.437791\pi\)
0.517992 + 0.855385i \(0.326680\pi\)
\(164\) 0.0422197 + 0.239440i 0.00329681 + 0.0186971i
\(165\) 0.177406 + 0.211424i 0.0138110 + 0.0164594i
\(166\) 5.71836 + 15.7111i 0.443831 + 1.21942i
\(167\) −5.57821 15.3260i −0.431655 1.18596i −0.944796 0.327658i \(-0.893741\pi\)
0.513142 0.858304i \(-0.328482\pi\)
\(168\) 0.309130 + 0.368406i 0.0238499 + 0.0284232i
\(169\) −0.0456446 0.258863i −0.00351112 0.0199126i
\(170\) 3.71710 0.655426i 0.285089 0.0502689i
\(171\) 9.53837 + 5.50698i 0.729417 + 0.421129i
\(172\) −3.30226 + 3.93548i −0.251795 + 0.300077i
\(173\) −1.80631 0.657444i −0.137331 0.0499846i 0.272440 0.962173i \(-0.412169\pi\)
−0.409772 + 0.912188i \(0.634392\pi\)
\(174\) −0.175202 0.303459i −0.0132820 0.0230052i
\(175\) −2.95850 + 5.12427i −0.223642 + 0.387359i
\(176\) −0.713963 + 0.599086i −0.0538170 + 0.0451578i
\(177\) −2.93770 + 1.69608i −0.220811 + 0.127485i
\(178\) 1.09209 6.19352i 0.0818553 0.464224i
\(179\) 18.8954i 1.41231i 0.708059 + 0.706154i \(0.249571\pi\)
−0.708059 + 0.706154i \(0.750429\pi\)
\(180\) 2.41785 + 0.426333i 0.180216 + 0.0317770i
\(181\) 5.25019 + 4.40543i 0.390243 + 0.327453i 0.816708 0.577051i \(-0.195797\pi\)
−0.426465 + 0.904504i \(0.640241\pi\)
\(182\) 4.73890 1.72482i 0.351270 0.127852i
\(183\) 0.0471573 0.129564i 0.00348597 0.00957763i
\(184\) −1.06323 −0.0783820
\(185\) 1.85493 4.84352i 0.136377 0.356103i
\(186\) −2.54888 −0.186893
\(187\) −1.41107 + 3.87688i −0.103188 + 0.283505i
\(188\) −7.32575 + 2.66635i −0.534285 + 0.194464i
\(189\) 2.16600 + 1.81749i 0.157553 + 0.132203i
\(190\) −3.21199 0.566360i −0.233022 0.0410881i
\(191\) 21.1777i 1.53236i −0.642625 0.766181i \(-0.722155\pi\)
0.642625 0.766181i \(-0.277845\pi\)
\(192\) 0.0603074 0.342020i 0.00435231 0.0246832i
\(193\) 6.64750 3.83793i 0.478497 0.276261i −0.241293 0.970452i \(-0.577571\pi\)
0.719790 + 0.694192i \(0.244238\pi\)
\(194\) 5.72447 4.80340i 0.410993 0.344864i
\(195\) −0.539222 + 0.933960i −0.0386145 + 0.0668822i
\(196\) −2.54123 4.40154i −0.181516 0.314395i
\(197\) 10.6770 + 3.88610i 0.760703 + 0.276873i 0.693102 0.720839i \(-0.256243\pi\)
0.0676007 + 0.997712i \(0.478466\pi\)
\(198\) −1.72500 + 2.05578i −0.122590 + 0.146098i
\(199\) 21.5452 + 12.4391i 1.52730 + 0.881788i 0.999474 + 0.0324362i \(0.0103266\pi\)
0.527828 + 0.849352i \(0.323007\pi\)
\(200\) 4.20805 0.741992i 0.297554 0.0524668i
\(201\) 0.858785 + 4.87041i 0.0605740 + 0.343532i
\(202\) −2.58966 3.08624i −0.182208 0.217147i
\(203\) −0.477852 1.31289i −0.0335387 0.0921467i
\(204\) −0.525807 1.44464i −0.0368139 0.101145i
\(205\) −0.133257 0.158810i −0.00930711 0.0110918i
\(206\) −0.0404781 0.229563i −0.00282024 0.0159944i
\(207\) −3.01493 + 0.531613i −0.209552 + 0.0369496i
\(208\) −3.15391 1.82091i −0.218684 0.126257i
\(209\) 2.29157 2.73099i 0.158511 0.188906i
\(210\) −0.385334 0.140250i −0.0265906 0.00967818i
\(211\) −6.56480 11.3706i −0.451939 0.782782i 0.546567 0.837415i \(-0.315934\pi\)
−0.998506 + 0.0546333i \(0.982601\pi\)
\(212\) 6.48956 11.2402i 0.445705 0.771983i
\(213\) 3.63664 3.05150i 0.249178 0.209085i
\(214\) 5.58510 3.22456i 0.381790 0.220426i
\(215\) 0.760664 4.31394i 0.0518768 0.294208i
\(216\) 2.04189i 0.138933i
\(217\) −10.0086 1.76478i −0.679427 0.119801i
\(218\) −10.5534 8.85533i −0.714765 0.599759i
\(219\) −4.29291 + 1.56249i −0.290088 + 0.105583i
\(220\) 0.271802 0.746769i 0.0183249 0.0503472i
\(221\) −16.1210 −1.08442
\(222\) −2.07402 0.401474i −0.139199 0.0269451i
\(223\) 1.40208 0.0938902 0.0469451 0.998897i \(-0.485051\pi\)
0.0469451 + 0.998897i \(0.485051\pi\)
\(224\) 0.473614 1.30124i 0.0316447 0.0869430i
\(225\) 11.5615 4.20805i 0.770767 0.280536i
\(226\) −3.26360 2.73849i −0.217092 0.182161i
\(227\) 2.96048 + 0.522013i 0.196494 + 0.0346472i 0.271029 0.962571i \(-0.412636\pi\)
−0.0745348 + 0.997218i \(0.523747\pi\)
\(228\) 1.32845i 0.0879785i
\(229\) 1.61197 9.14196i 0.106522 0.604118i −0.884079 0.467337i \(-0.845213\pi\)
0.990601 0.136780i \(-0.0436755\pi\)
\(230\) 0.785118 0.453288i 0.0517691 0.0298889i
\(231\) 0.343359 0.288113i 0.0225914 0.0189564i
\(232\) −0.504474 + 0.873775i −0.0331204 + 0.0573662i
\(233\) 13.7108 + 23.7478i 0.898225 + 1.55577i 0.829762 + 0.558118i \(0.188476\pi\)
0.0684634 + 0.997654i \(0.478190\pi\)
\(234\) −9.85381 3.58649i −0.644164 0.234456i
\(235\) 4.27280 5.09212i 0.278727 0.332173i
\(236\) 8.45877 + 4.88367i 0.550619 + 0.317900i
\(237\) 1.19212 0.210204i 0.0774368 0.0136542i
\(238\) −1.06443 6.03669i −0.0689968 0.391300i
\(239\) 0.475493 + 0.566671i 0.0307571 + 0.0366549i 0.781204 0.624276i \(-0.214606\pi\)
−0.750447 + 0.660931i \(0.770162\pi\)
\(240\) 0.101282 + 0.278269i 0.00653770 + 0.0179622i
\(241\) −0.315775 0.867585i −0.0203409 0.0558861i 0.929107 0.369812i \(-0.120578\pi\)
−0.949448 + 0.313926i \(0.898356\pi\)
\(242\) −6.51231 7.76107i −0.418627 0.498900i
\(243\) −1.54189 8.74449i −0.0989122 0.560959i
\(244\) −0.390975 + 0.0689394i −0.0250296 + 0.00441339i
\(245\) 3.75304 + 2.16682i 0.239773 + 0.138433i
\(246\) −0.0542767 + 0.0646844i −0.00346055 + 0.00412413i
\(247\) 13.0903 + 4.76446i 0.832913 + 0.303156i
\(248\) 3.66960 + 6.35593i 0.233020 + 0.403602i
\(249\) −2.90329 + 5.02864i −0.183988 + 0.318677i
\(250\) −6.05691 + 5.08235i −0.383073 + 0.321436i
\(251\) −8.51425 + 4.91571i −0.537415 + 0.310277i −0.744031 0.668146i \(-0.767088\pi\)
0.206616 + 0.978422i \(0.433755\pi\)
\(252\) 0.692377 3.92667i 0.0436157 0.247357i
\(253\) 0.990940i 0.0622999i
\(254\) 11.3540 + 2.00201i 0.712410 + 0.125617i
\(255\) 1.00417 + 0.842599i 0.0628836 + 0.0527656i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 1.76857 4.85911i 0.110320 0.303103i −0.872231 0.489094i \(-0.837327\pi\)
0.982551 + 0.185991i \(0.0595496\pi\)
\(258\) −1.78420 −0.111080
\(259\) −7.86602 3.01246i −0.488771 0.187185i
\(260\) 3.10525 0.192580
\(261\) −0.993621 + 2.72995i −0.0615036 + 0.168980i
\(262\) −9.82295 + 3.57526i −0.606864 + 0.220880i
\(263\) −15.7224 13.1926i −0.969483 0.813493i 0.0129864 0.999916i \(-0.495866\pi\)
−0.982470 + 0.186423i \(0.940311\pi\)
\(264\) −0.318767 0.0562072i −0.0196188 0.00345932i
\(265\) 11.0668i 0.679831i
\(266\) −0.919786 + 5.21637i −0.0563957 + 0.319836i
\(267\) 1.89155 1.09209i 0.115761 0.0668345i
\(268\) 10.9086 9.15338i 0.666347 0.559132i
\(269\) −8.25822 + 14.3037i −0.503512 + 0.872109i 0.496479 + 0.868049i \(0.334626\pi\)
−0.999992 + 0.00406062i \(0.998707\pi\)
\(270\) 0.870524 + 1.50779i 0.0529784 + 0.0917613i
\(271\) 9.99255 + 3.63699i 0.607004 + 0.220932i 0.627192 0.778865i \(-0.284204\pi\)
−0.0201876 + 0.999796i \(0.506426\pi\)
\(272\) −2.84539 + 3.39101i −0.172527 + 0.205610i
\(273\) 1.51678 + 0.875712i 0.0917996 + 0.0530005i
\(274\) 6.67596 1.17715i 0.403310 0.0711144i
\(275\) −0.691546 3.92195i −0.0417018 0.236503i
\(276\) −0.237352 0.282865i −0.0142869 0.0170265i
\(277\) 2.24164 + 6.15886i 0.134687 + 0.370050i 0.988641 0.150299i \(-0.0480238\pi\)
−0.853953 + 0.520350i \(0.825802\pi\)
\(278\) 6.54938 + 17.9943i 0.392806 + 1.07923i
\(279\) 13.5836 + 16.1883i 0.813231 + 0.969171i
\(280\) 0.205032 + 1.16279i 0.0122530 + 0.0694903i
\(281\) −24.3511 + 4.29375i −1.45266 + 0.256144i −0.843598 0.536976i \(-0.819567\pi\)
−0.609066 + 0.793119i \(0.708456\pi\)
\(282\) −2.34475 1.35374i −0.139628 0.0806143i
\(283\) 12.6719 15.1018i 0.753267 0.897709i −0.244135 0.969741i \(-0.578504\pi\)
0.997402 + 0.0720321i \(0.0229484\pi\)
\(284\) −12.8449 4.67517i −0.762206 0.277420i
\(285\) −0.566360 0.980965i −0.0335483 0.0581073i
\(286\) −1.69711 + 2.93948i −0.100352 + 0.173815i
\(287\) −0.257912 + 0.216414i −0.0152241 + 0.0127745i
\(288\) −2.49362 + 1.43969i −0.146938 + 0.0848347i
\(289\) −0.450647 + 2.55575i −0.0265086 + 0.150338i
\(290\) 0.860296i 0.0505183i
\(291\) 2.55584 + 0.450663i 0.149826 + 0.0264183i
\(292\) 10.0767 + 8.45539i 0.589697 + 0.494814i
\(293\) −1.10192 + 0.401067i −0.0643751 + 0.0234306i −0.374007 0.927426i \(-0.622016\pi\)
0.309632 + 0.950856i \(0.399794\pi\)
\(294\) 0.603706 1.65867i 0.0352088 0.0967355i
\(295\) −8.32828 −0.484891
\(296\) 1.98483 + 5.74982i 0.115366 + 0.334202i
\(297\) −1.90307 −0.110427
\(298\) 1.53082 4.20590i 0.0886782 0.243641i
\(299\) −3.63856 + 1.32433i −0.210423 + 0.0765879i
\(300\) 1.13680 + 0.953886i 0.0656330 + 0.0550727i
\(301\) −7.00596 1.23534i −0.403817 0.0712038i
\(302\) 8.84231i 0.508818i
\(303\) 0.242966 1.37793i 0.0139581 0.0791601i
\(304\) 3.31264 1.91255i 0.189993 0.109693i
\(305\) 0.259316 0.217592i 0.0148484 0.0124593i
\(306\) −6.37301 + 11.0384i −0.364321 + 0.631022i
\(307\) −9.36820 16.2262i −0.534671 0.926078i −0.999179 0.0405091i \(-0.987102\pi\)
0.464508 0.885569i \(-0.346231\pi\)
\(308\) −1.21278 0.441414i −0.0691043 0.0251519i
\(309\) 0.0520376 0.0620160i 0.00296032 0.00352797i
\(310\) −5.41949 3.12894i −0.307806 0.177712i
\(311\) −32.3417 + 5.70271i −1.83393 + 0.323371i −0.980301 0.197511i \(-0.936714\pi\)
−0.853628 + 0.520882i \(0.825603\pi\)
\(312\) −0.219629 1.24558i −0.0124340 0.0705169i
\(313\) −13.8536 16.5101i −0.783052 0.933206i 0.216015 0.976390i \(-0.430694\pi\)
−0.999067 + 0.0431845i \(0.986250\pi\)
\(314\) 6.30064 + 17.3109i 0.355565 + 0.976908i
\(315\) 1.16279 + 3.19475i 0.0655160 + 0.180004i
\(316\) −2.24046 2.67008i −0.126036 0.150204i
\(317\) 3.06019 + 17.3552i 0.171877 + 0.974764i 0.941687 + 0.336490i \(0.109240\pi\)
−0.769810 + 0.638273i \(0.779649\pi\)
\(318\) 4.43912 0.782736i 0.248933 0.0438937i
\(319\) 0.814370 + 0.470177i 0.0455960 + 0.0263248i
\(320\) 0.548083 0.653180i 0.0306388 0.0365139i
\(321\) 2.10468 + 0.766042i 0.117472 + 0.0427563i
\(322\) −0.736153 1.27505i −0.0410242 0.0710560i
\(323\) 8.46620 14.6639i 0.471072 0.815920i
\(324\) −6.07398 + 5.09667i −0.337443 + 0.283148i
\(325\) 13.4765 7.78068i 0.747543 0.431594i
\(326\) 1.60327 9.09259i 0.0887968 0.503592i
\(327\) 4.78451i 0.264584i
\(328\) 0.239440 + 0.0422197i 0.0132209 + 0.00233120i
\(329\) −8.26976 6.93915i −0.455927 0.382568i
\(330\) 0.259350 0.0943958i 0.0142768 0.00519632i
\(331\) 2.42916 6.67405i 0.133518 0.366839i −0.854859 0.518861i \(-0.826356\pi\)
0.988377 + 0.152022i \(0.0485784\pi\)
\(332\) 16.7194 0.917594
\(333\) 8.50318 + 15.3120i 0.465971 + 0.839093i
\(334\) −16.3096 −0.892421
\(335\) −4.15283 + 11.4098i −0.226894 + 0.623385i
\(336\) 0.451917 0.164484i 0.0246541 0.00897336i
\(337\) −0.781329 0.655612i −0.0425617 0.0357135i 0.621259 0.783606i \(-0.286622\pi\)
−0.663820 + 0.747892i \(0.731066\pi\)
\(338\) −0.258863 0.0456446i −0.0140803 0.00248274i
\(339\) 1.47960i 0.0803607i
\(340\) 0.655426 3.71710i 0.0355455 0.201588i
\(341\) 5.92381 3.42011i 0.320792 0.185210i
\(342\) 8.43718 7.07964i 0.456231 0.382823i
\(343\) 8.36562 14.4897i 0.451701 0.782369i
\(344\) 2.56870 + 4.44912i 0.138495 + 0.239881i
\(345\) 0.295863 + 0.107685i 0.0159287 + 0.00579758i
\(346\) −1.23559 + 1.47252i −0.0664258 + 0.0791632i
\(347\) −4.31707 2.49246i −0.231752 0.133802i 0.379628 0.925139i \(-0.376052\pi\)
−0.611380 + 0.791337i \(0.709385\pi\)
\(348\) −0.345081 + 0.0608471i −0.0184983 + 0.00326175i
\(349\) −4.46786 25.3385i −0.239159 1.35634i −0.833675 0.552255i \(-0.813767\pi\)
0.594516 0.804084i \(-0.297344\pi\)
\(350\) 3.80338 + 4.53269i 0.203299 + 0.242282i
\(351\) −2.54333 6.98774i −0.135753 0.372978i
\(352\) 0.318767 + 0.875805i 0.0169903 + 0.0466806i
\(353\) 17.2409 + 20.5469i 0.917642 + 1.09360i 0.995321 + 0.0966250i \(0.0308048\pi\)
−0.0776786 + 0.996978i \(0.524751\pi\)
\(354\) 0.589043 + 3.34063i 0.0313073 + 0.177552i
\(355\) 11.4783 2.02393i 0.609202 0.107419i
\(356\) −5.44649 3.14453i −0.288664 0.166660i
\(357\) 1.36841 1.63080i 0.0724237 0.0863112i
\(358\) 17.7559 + 6.46260i 0.938426 + 0.341559i
\(359\) −9.96674 17.2629i −0.526024 0.911101i −0.999540 0.0303155i \(-0.990349\pi\)
0.473516 0.880785i \(-0.342985\pi\)
\(360\) 1.22758 2.12622i 0.0646990 0.112062i
\(361\) 3.34650 2.80805i 0.176132 0.147792i
\(362\) 5.93542 3.42682i 0.311959 0.180109i
\(363\) 0.610995 3.46513i 0.0320689 0.181872i
\(364\) 5.04303i 0.264326i
\(365\) −11.0458 1.94767i −0.578162 0.101946i
\(366\) −0.105621 0.0886268i −0.00552091 0.00463260i
\(367\) −13.9399 + 5.07371i −0.727657 + 0.264846i −0.679173 0.733978i \(-0.737661\pi\)
−0.0484843 + 0.998824i \(0.515439\pi\)
\(368\) −0.363645 + 0.999105i −0.0189563 + 0.0520820i
\(369\) 0.700076 0.0364445
\(370\) −3.91700 3.39964i −0.203635 0.176739i
\(371\) 17.9729 0.933106
\(372\) −0.871767 + 2.39516i −0.0451990 + 0.124183i
\(373\) 2.54239 0.925355i 0.131640 0.0479131i −0.275360 0.961341i \(-0.588797\pi\)
0.407000 + 0.913428i \(0.366575\pi\)
\(374\) 3.16046 + 2.65194i 0.163424 + 0.137129i
\(375\) −2.70426 0.476834i −0.139648 0.0246236i
\(376\) 7.79590i 0.402043i
\(377\) −0.638055 + 3.61859i −0.0328615 + 0.186367i
\(378\) 2.44870 1.41376i 0.125948 0.0727158i
\(379\) 15.4191 12.9382i 0.792027 0.664589i −0.154220 0.988037i \(-0.549286\pi\)
0.946246 + 0.323447i \(0.104842\pi\)
\(380\) −1.63077 + 2.82458i −0.0836567 + 0.144898i
\(381\) 2.00201 + 3.46758i 0.102566 + 0.177649i
\(382\) −19.9005 7.24319i −1.01820 0.370594i
\(383\) 17.2995 20.6168i 0.883965 1.05347i −0.114233 0.993454i \(-0.536441\pi\)
0.998198 0.0600143i \(-0.0191146\pi\)
\(384\) −0.300767 0.173648i −0.0153485 0.00886145i
\(385\) 1.08374 0.191092i 0.0552325 0.00973897i
\(386\) −1.33290 7.55925i −0.0678428 0.384756i
\(387\) 9.50848 + 11.3318i 0.483343 + 0.576026i
\(388\) −2.55584 7.02210i −0.129753 0.356493i
\(389\) −0.332286 0.912949i −0.0168476 0.0462883i 0.930984 0.365061i \(-0.118952\pi\)
−0.947831 + 0.318772i \(0.896729\pi\)
\(390\) 0.693210 + 0.826136i 0.0351021 + 0.0418330i
\(391\) 0.817279 + 4.63502i 0.0413316 + 0.234403i
\(392\) −5.00524 + 0.882559i −0.252803 + 0.0445760i
\(393\) −3.14403 1.81521i −0.158595 0.0915651i
\(394\) 7.30348 8.70395i 0.367944 0.438499i
\(395\) 2.79276 + 1.01648i 0.140519 + 0.0511448i
\(396\) 1.34181 + 2.32409i 0.0674286 + 0.116790i
\(397\) −11.0940 + 19.2154i −0.556794 + 0.964395i 0.440968 + 0.897523i \(0.354635\pi\)
−0.997762 + 0.0668724i \(0.978698\pi\)
\(398\) 19.0579 15.9915i 0.955285 0.801579i
\(399\) −1.59312 + 0.919786i −0.0797556 + 0.0460469i
\(400\) 0.741992 4.20805i 0.0370996 0.210402i
\(401\) 23.0731i 1.15222i 0.817374 + 0.576108i \(0.195429\pi\)
−0.817374 + 0.576108i \(0.804571\pi\)
\(402\) 4.87041 + 0.858785i 0.242914 + 0.0428323i
\(403\) 20.4749 + 17.1805i 1.01993 + 0.855820i
\(404\) −3.78583 + 1.37793i −0.188352 + 0.0685546i
\(405\) 2.31233 6.35307i 0.114901 0.315687i
\(406\) −1.39715 −0.0693392
\(407\) 5.35891 1.84989i 0.265631 0.0916955i
\(408\) −1.53736 −0.0761105
\(409\) 4.96326 13.6365i 0.245418 0.674279i −0.754422 0.656389i \(-0.772083\pi\)
0.999840 0.0178901i \(-0.00569489\pi\)
\(410\) −0.194809 + 0.0709048i −0.00962095 + 0.00350174i
\(411\) 1.80350 + 1.51332i 0.0889602 + 0.0746465i
\(412\) −0.229563 0.0404781i −0.0113097 0.00199421i
\(413\) 13.5254i 0.665540i
\(414\) −0.531613 + 3.01493i −0.0261273 + 0.148176i
\(415\) −12.3461 + 7.12801i −0.606045 + 0.349900i
\(416\) −2.78980 + 2.34092i −0.136781 + 0.114773i
\(417\) −3.32521 + 5.75943i −0.162836 + 0.282041i
\(418\) −1.78252 3.08742i −0.0871861 0.151011i
\(419\) −15.9383 5.80108i −0.778639 0.283401i −0.0780339 0.996951i \(-0.524864\pi\)
−0.700605 + 0.713549i \(0.747086\pi\)
\(420\) −0.263584 + 0.314127i −0.0128616 + 0.0153278i
\(421\) 13.6763 + 7.89599i 0.666540 + 0.384827i 0.794764 0.606918i \(-0.207594\pi\)
−0.128224 + 0.991745i \(0.540928\pi\)
\(422\) −12.9301 + 2.27993i −0.629429 + 0.110985i
\(423\) 3.89795 + 22.1064i 0.189525 + 1.07485i
\(424\) −8.34281 9.94258i −0.405163 0.482854i
\(425\) −6.46927 17.7742i −0.313806 0.862174i
\(426\) −1.62367 4.46099i −0.0786670 0.216136i
\(427\) −0.353376 0.421138i −0.0171011 0.0203803i
\(428\) −1.11988 6.35115i −0.0541314 0.306994i
\(429\) −1.16089 + 0.204697i −0.0560484 + 0.00988285i
\(430\) −3.79361 2.19024i −0.182944 0.105623i
\(431\) −24.0972 + 28.7180i −1.16072 + 1.38330i −0.251048 + 0.967975i \(0.580775\pi\)
−0.909675 + 0.415321i \(0.863669\pi\)
\(432\) −1.91875 0.698367i −0.0923158 0.0336002i
\(433\) −8.01147 13.8763i −0.385007 0.666852i 0.606763 0.794883i \(-0.292468\pi\)
−0.991770 + 0.128031i \(0.959134\pi\)
\(434\) −5.08150 + 8.80141i −0.243920 + 0.422481i
\(435\) 0.228877 0.192051i 0.0109738 0.00920812i
\(436\) −11.9308 + 6.88823i −0.571380 + 0.329886i
\(437\) 0.706219 4.00517i 0.0337830 0.191593i
\(438\) 4.56842i 0.218288i
\(439\) −29.8670 5.26636i −1.42548 0.251350i −0.592907 0.805271i \(-0.702020\pi\)
−0.832569 + 0.553921i \(0.813131\pi\)
\(440\) −0.608772 0.510820i −0.0290221 0.0243524i
\(441\) −13.7518 + 5.00524i −0.654847 + 0.238345i
\(442\) −5.51372 + 15.1488i −0.262261 + 0.720556i
\(443\) 24.5626 1.16700 0.583502 0.812112i \(-0.301682\pi\)
0.583502 + 0.812112i \(0.301682\pi\)
\(444\) −1.08662 + 1.81163i −0.0515686 + 0.0859762i
\(445\) 5.36247 0.254206
\(446\) 0.479539 1.31752i 0.0227069 0.0623866i
\(447\) 1.46069 0.531649i 0.0690885 0.0251462i
\(448\) −1.06078 0.890103i −0.0501173 0.0420534i
\(449\) 26.1350 + 4.60830i 1.23339 + 0.217479i 0.752079 0.659073i \(-0.229051\pi\)
0.481307 + 0.876552i \(0.340162\pi\)
\(450\) 12.3035i 0.579993i
\(451\) 0.0393493 0.223161i 0.00185289 0.0105082i
\(452\) −3.68955 + 2.13017i −0.173542 + 0.100195i
\(453\) −2.35245 + 1.97394i −0.110528 + 0.0927437i
\(454\) 1.50308 2.60340i 0.0705429 0.122184i
\(455\) 2.15001 + 3.72392i 0.100794 + 0.174580i
\(456\) 1.24833 + 0.454355i 0.0584585 + 0.0212771i
\(457\) −15.2270 + 18.1468i −0.712288 + 0.848872i −0.993857 0.110669i \(-0.964701\pi\)
0.281569 + 0.959541i \(0.409145\pi\)
\(458\) −8.03930 4.64149i −0.375652 0.216883i
\(459\) −8.90140 + 1.56956i −0.415482 + 0.0732606i
\(460\) −0.157425 0.892803i −0.00733999 0.0416272i
\(461\) −11.4935 13.6974i −0.535306 0.637953i 0.428823 0.903389i \(-0.358929\pi\)
−0.964128 + 0.265436i \(0.914484\pi\)
\(462\) −0.153302 0.421193i −0.00713223 0.0195956i
\(463\) −3.97134 10.9112i −0.184564 0.507085i 0.812560 0.582878i \(-0.198073\pi\)
−0.997124 + 0.0757928i \(0.975851\pi\)
\(464\) 0.648540 + 0.772900i 0.0301077 + 0.0358810i
\(465\) −0.377397 2.14032i −0.0175013 0.0992551i
\(466\) 27.0050 4.76171i 1.25098 0.220582i
\(467\) −5.99577 3.46166i −0.277451 0.160187i 0.354818 0.934935i \(-0.384543\pi\)
−0.632269 + 0.774749i \(0.717876\pi\)
\(468\) −6.74040 + 8.03290i −0.311575 + 0.371321i
\(469\) 18.5299 + 6.74433i 0.855631 + 0.311424i
\(470\) −3.32365 5.75673i −0.153308 0.265538i
\(471\) −3.19892 + 5.54069i −0.147398 + 0.255301i
\(472\) 7.48222 6.27833i 0.344397 0.288984i
\(473\) 4.14664 2.39406i 0.190663 0.110079i
\(474\) 0.210204 1.19212i 0.00965497 0.0547561i
\(475\) 16.3445i 0.749939i
\(476\) −6.03669 1.06443i −0.276691 0.0487881i
\(477\) −28.6285 24.0222i −1.31081 1.09990i
\(478\) 0.695124 0.253005i 0.0317942 0.0115722i
\(479\) −10.5351 + 28.9450i −0.481361 + 1.32253i 0.426966 + 0.904268i \(0.359583\pi\)
−0.908327 + 0.418261i \(0.862640\pi\)
\(480\) 0.296128 0.0135163
\(481\) 13.9543 + 17.2047i 0.636262 + 0.784468i
\(482\) −0.923265 −0.0420536
\(483\) 0.174884 0.480490i 0.00795750 0.0218630i
\(484\) −9.52036 + 3.46513i −0.432743 + 0.157506i
\(485\) 4.88106 + 4.09569i 0.221637 + 0.185976i
\(486\) −8.74449 1.54189i −0.396658 0.0699415i
\(487\) 26.1340i 1.18425i 0.805848 + 0.592123i \(0.201710\pi\)
−0.805848 + 0.592123i \(0.798290\pi\)
\(488\) −0.0689394 + 0.390975i −0.00312074 + 0.0176986i
\(489\) 2.77694 1.60327i 0.125578 0.0725023i
\(490\) 3.31976 2.78561i 0.149971 0.125841i
\(491\) −4.72126 + 8.17747i −0.213068 + 0.369044i −0.952673 0.303997i \(-0.901679\pi\)
0.739605 + 0.673041i \(0.235012\pi\)
\(492\) 0.0422197 + 0.0731267i 0.00190341 + 0.00329681i
\(493\) 4.19691 + 1.52755i 0.189019 + 0.0687974i
\(494\) 8.95426 10.6713i 0.402871 0.480123i
\(495\) −1.98167 1.14412i −0.0890694 0.0514242i
\(496\) 7.22770 1.27444i 0.324533 0.0572240i
\(497\) −3.28692 18.6410i −0.147438 0.836164i
\(498\) 3.73239 + 4.44809i 0.167253 + 0.199324i
\(499\) −4.66741 12.8236i −0.208942 0.574063i 0.790311 0.612706i \(-0.209919\pi\)
−0.999253 + 0.0386425i \(0.987697\pi\)
\(500\) 2.70426 + 7.42990i 0.120938 + 0.332275i
\(501\) −3.64092 4.33908i −0.162664 0.193856i
\(502\) 1.70721 + 9.68205i 0.0761964 + 0.432131i
\(503\) 19.6874 3.47142i 0.877817 0.154783i 0.283460 0.958984i \(-0.408518\pi\)
0.594357 + 0.804201i \(0.297407\pi\)
\(504\) −3.45305 1.99362i −0.153811 0.0888029i
\(505\) 2.20812 2.63153i 0.0982599 0.117102i
\(506\) 0.931179 + 0.338921i 0.0413959 + 0.0150669i
\(507\) −0.0456446 0.0790588i −0.00202715 0.00351112i
\(508\) 5.76455 9.98450i 0.255761 0.442990i
\(509\) 18.6781 15.6728i 0.827894 0.694685i −0.126913 0.991914i \(-0.540507\pi\)
0.954806 + 0.297229i \(0.0960624\pi\)
\(510\) 1.13523 0.655426i 0.0502689 0.0290227i
\(511\) −3.16307 + 17.9387i −0.139926 + 0.793560i
\(512\) 1.00000i 0.0441942i
\(513\) 7.69179 + 1.35627i 0.339601 + 0.0598808i
\(514\) −3.96118 3.32383i −0.174720 0.146608i
\(515\) 0.186773 0.0679798i 0.00823020 0.00299555i
\(516\) −0.610233 + 1.67660i −0.0268640 + 0.0738082i
\(517\) 7.26588 0.319553
\(518\) −5.52112 + 6.36132i −0.242584 + 0.279500i
\(519\) −0.667587 −0.0293038
\(520\) 1.06206 2.91799i 0.0465744 0.127962i
\(521\) 13.8664 5.04695i 0.607497 0.221111i −0.0199104 0.999802i \(-0.506338\pi\)
0.627408 + 0.778691i \(0.284116\pi\)
\(522\) 2.22548 + 1.86740i 0.0974064 + 0.0817337i
\(523\) 9.25252 + 1.63147i 0.404585 + 0.0713392i 0.372237 0.928138i \(-0.378591\pi\)
0.0323471 + 0.999477i \(0.489702\pi\)
\(524\) 10.4534i 0.456657i
\(525\) −0.356839 + 2.02373i −0.0155737 + 0.0883230i
\(526\) −17.7744 + 10.2621i −0.775000 + 0.447447i
\(527\) 24.8873 20.8829i 1.08411 0.909673i
\(528\) −0.161842 + 0.280319i −0.00704328 + 0.0121993i
\(529\) −10.9348 18.9396i −0.475425 0.823460i
\(530\) 10.3994 + 3.78508i 0.451722 + 0.164414i
\(531\) 18.0777 21.5442i 0.784507 0.934939i
\(532\) 4.58719 + 2.64842i 0.198880 + 0.114823i
\(533\) 0.871998 0.153757i 0.0377704 0.00665994i
\(534\) −0.379277 2.15099i −0.0164129 0.0930824i
\(535\) 3.53465 + 4.21244i 0.152816 + 0.182119i
\(536\) −4.87041 13.3814i −0.210370 0.577986i
\(537\) 2.24444 + 6.16654i 0.0968547 + 0.266106i
\(538\) 10.6166 + 12.6523i 0.457712 + 0.545480i
\(539\) 0.822556 + 4.66495i 0.0354300 + 0.200934i
\(540\) 1.71460 0.302330i 0.0737846 0.0130102i
\(541\) −37.3740 21.5779i −1.60684 0.927707i −0.990072 0.140559i \(-0.955110\pi\)
−0.616763 0.787149i \(-0.711556\pi\)
\(542\) 6.83531 8.14600i 0.293602 0.349901i
\(543\) 2.23669 + 0.814090i 0.0959858 + 0.0349360i
\(544\) 2.21332 + 3.83359i 0.0948954 + 0.164364i
\(545\) 5.87335 10.1729i 0.251587 0.435761i
\(546\) 1.34167 1.12579i 0.0574181 0.0481795i
\(547\) −21.1110 + 12.1884i −0.902641 + 0.521140i −0.878056 0.478558i \(-0.841160\pi\)
−0.0245851 + 0.999698i \(0.507826\pi\)
\(548\) 1.17715 6.67596i 0.0502855 0.285183i
\(549\) 1.14313i 0.0487878i
\(550\) −3.92195 0.691546i −0.167233 0.0294876i
\(551\) −2.95643 2.48074i −0.125948 0.105683i
\(552\) −0.346986 + 0.126292i −0.0147687 + 0.00537536i
\(553\) 1.65080 4.53553i 0.0701991 0.192870i
\(554\) 6.55413 0.278458
\(555\) 0.0300345 1.80102i 0.00127489 0.0764492i
\(556\) 19.1491 0.812104
\(557\) 10.4716 28.7704i 0.443695 1.21904i −0.493350 0.869831i \(-0.664228\pi\)
0.937045 0.349210i \(-0.113550\pi\)
\(558\) 19.8579 7.22770i 0.840654 0.305973i
\(559\) 14.3323 + 12.0262i 0.606192 + 0.508656i
\(560\) 1.16279 + 0.205032i 0.0491370 + 0.00866418i
\(561\) 1.43284i 0.0604944i
\(562\) −4.29375 + 24.3511i −0.181121 + 1.02719i
\(563\) 3.05690 1.76490i 0.128833 0.0743819i −0.434198 0.900817i \(-0.642968\pi\)
0.563032 + 0.826435i \(0.309635\pi\)
\(564\) −2.07406 + 1.74034i −0.0873335 + 0.0732815i
\(565\) 1.81632 3.14596i 0.0764131 0.132351i
\(566\) −9.85700 17.0728i −0.414321 0.717625i
\(567\) −10.3176 3.75529i −0.433298 0.157707i
\(568\) −8.78644 + 10.4713i −0.368671 + 0.439365i
\(569\) −31.5781 18.2316i −1.32382 0.764310i −0.339487 0.940611i \(-0.610254\pi\)
−0.984336 + 0.176301i \(0.943587\pi\)
\(570\) −1.11551 + 0.196695i −0.0467236 + 0.00823864i
\(571\) −6.71527 38.0842i −0.281025 1.59377i −0.719147 0.694858i \(-0.755467\pi\)
0.438122 0.898915i \(-0.355644\pi\)
\(572\) 2.18176 + 2.60013i 0.0912242 + 0.108717i
\(573\) −2.51553 6.91137i −0.105088 0.288727i
\(574\) 0.115152 + 0.316376i 0.00480633 + 0.0132053i
\(575\) −2.92026 3.48023i −0.121783 0.145136i
\(576\) 0.500000 + 2.83564i 0.0208333 + 0.118152i
\(577\) 42.7190 7.53251i 1.77842 0.313583i 0.814574 0.580060i \(-0.196971\pi\)
0.963841 + 0.266477i \(0.0858596\pi\)
\(578\) 2.24749 + 1.29759i 0.0934831 + 0.0539725i
\(579\) 1.71354 2.04212i 0.0712124 0.0848677i
\(580\) −0.808414 0.294239i −0.0335676 0.0122176i
\(581\) 11.5761 + 20.0504i 0.480258 + 0.831831i
\(582\) 1.29763 2.24756i 0.0537886 0.0931646i
\(583\) −9.26661 + 7.77561i −0.383784 + 0.322033i
\(584\) 11.3919 6.57713i 0.471401 0.272163i
\(585\) 1.55263 8.80539i 0.0641932 0.364058i
\(586\) 1.17264i 0.0484414i
\(587\) −0.0109487 0.00193056i −0.000451903 7.96826e-5i 0.173422 0.984848i \(-0.444517\pi\)
−0.173874 + 0.984768i \(0.555629\pi\)
\(588\) −1.35216 1.13460i −0.0557621 0.0467900i
\(589\) −26.3802 + 9.60161i −1.08698 + 0.395628i
\(590\) −2.84844 + 7.82602i −0.117268 + 0.322192i
\(591\) 3.94605 0.162319
\(592\) 6.08192 + 0.101424i 0.249965 + 0.00416850i
\(593\) −36.1152 −1.48307 −0.741537 0.670912i \(-0.765903\pi\)
−0.741537 + 0.670912i \(0.765903\pi\)
\(594\) −0.650887 + 1.78830i −0.0267062 + 0.0733747i
\(595\) 4.91147 1.78763i 0.201351 0.0732857i
\(596\) −3.42868 2.87701i −0.140444 0.117847i
\(597\) 8.50888 + 1.50034i 0.348245 + 0.0614050i
\(598\) 3.87208i 0.158341i
\(599\) −2.78662 + 15.8037i −0.113858 + 0.645721i 0.873451 + 0.486912i \(0.161877\pi\)
−0.987309 + 0.158809i \(0.949234\pi\)
\(600\) 1.28517 0.741992i 0.0524668 0.0302917i
\(601\) −15.1796 + 12.7372i −0.619189 + 0.519561i −0.897549 0.440916i \(-0.854654\pi\)
0.278359 + 0.960477i \(0.410209\pi\)
\(602\) −3.55702 + 6.16094i −0.144973 + 0.251101i
\(603\) −20.5014 35.5095i −0.834882 1.44606i
\(604\) 8.30906 + 3.02425i 0.338091 + 0.123055i
\(605\) 5.55282 6.61759i 0.225754 0.269043i
\(606\) −1.21173 0.699594i −0.0492232 0.0284191i
\(607\) −14.4410 + 2.54634i −0.586143 + 0.103353i −0.458852 0.888513i \(-0.651739\pi\)
−0.127291 + 0.991865i \(0.540628\pi\)
\(608\) −0.664223 3.76700i −0.0269378 0.152772i
\(609\) −0.311896 0.371703i −0.0126387 0.0150622i
\(610\) −0.115778 0.318099i −0.00468773 0.0128794i
\(611\) 9.71038 + 26.6791i 0.392840 + 1.07932i
\(612\) 8.19298 + 9.76401i 0.331182 + 0.394687i
\(613\) −1.23791 7.02054i −0.0499988 0.283557i 0.949549 0.313618i \(-0.101541\pi\)
−0.999548 + 0.0300607i \(0.990430\pi\)
\(614\) −18.4518 + 3.25354i −0.744652 + 0.131302i
\(615\) −0.0623527 0.0359993i −0.00251430 0.00145163i
\(616\) −0.829587 + 0.988664i −0.0334250 + 0.0398344i
\(617\) −1.54788 0.563382i −0.0623153 0.0226809i 0.310674 0.950516i \(-0.399445\pi\)
−0.372990 + 0.927835i \(0.621667\pi\)
\(618\) −0.0404781 0.0701101i −0.00162827 0.00282024i
\(619\) −6.28743 + 10.8902i −0.252713 + 0.437712i −0.964272 0.264914i \(-0.914656\pi\)
0.711559 + 0.702627i \(0.247990\pi\)
\(620\) −4.79382 + 4.02249i −0.192524 + 0.161547i
\(621\) −1.88013 + 1.08549i −0.0754471 + 0.0435594i
\(622\) −5.70271 + 32.3417i −0.228658 + 1.29678i
\(623\) 8.70882i 0.348911i
\(624\) −1.24558 0.219629i −0.0498629 0.00879218i
\(625\) 11.2019 + 9.39949i 0.448075 + 0.375979i
\(626\) −20.2526 + 7.37135i −0.809458 + 0.294619i
\(627\) 0.423465 1.16346i 0.0169116 0.0464641i
\(628\) 18.4218 0.735111
\(629\) 23.5400 13.0724i 0.938603 0.521232i
\(630\) 3.39978 0.135451
\(631\) −7.72595 + 21.2269i −0.307565 + 0.845028i 0.685565 + 0.728012i \(0.259555\pi\)
−0.993130 + 0.117017i \(0.962667\pi\)
\(632\) −3.27533 + 1.19212i −0.130286 + 0.0474201i
\(633\) −3.49306 2.93102i −0.138837 0.116498i
\(634\) 17.3552 + 3.06019i 0.689262 + 0.121535i
\(635\) 9.83047i 0.390110i
\(636\) 0.782736 4.43912i 0.0310375 0.176023i
\(637\) −16.0296 + 9.25469i −0.635116 + 0.366684i
\(638\) 0.720352 0.604447i 0.0285190 0.0239303i
\(639\) −19.6796 + 34.0860i −0.778511 + 1.34842i
\(640\) −0.426333 0.738430i −0.0168523 0.0291890i
\(641\) 29.1189 + 10.5984i 1.15013 + 0.418613i 0.845562 0.533878i \(-0.179266\pi\)
0.304568 + 0.952491i \(0.401488\pi\)
\(642\) 1.43969 1.71575i 0.0568199 0.0677154i
\(643\) −0.920945 0.531708i −0.0363185 0.0209685i 0.481731 0.876319i \(-0.340008\pi\)
−0.518049 + 0.855351i \(0.673342\pi\)
\(644\) −1.44994 + 0.255663i −0.0571356 + 0.0100745i
\(645\) −0.264176 1.49821i −0.0104019 0.0589922i
\(646\) −10.8839 12.9710i −0.428223 0.510336i
\(647\) −4.56612 12.5453i −0.179513 0.493207i 0.817001 0.576636i \(-0.195635\pi\)
−0.996514 + 0.0834293i \(0.973413\pi\)
\(648\) 2.71188 + 7.45084i 0.106533 + 0.292697i
\(649\) −5.85148 6.97353i −0.229691 0.273735i
\(650\) −2.70220 15.3249i −0.105989 0.601094i
\(651\) −3.47595 + 0.612903i −0.136233 + 0.0240216i
\(652\) −7.99589 4.61643i −0.313143 0.180793i
\(653\) −5.99298 + 7.14215i −0.234523 + 0.279494i −0.870451 0.492254i \(-0.836173\pi\)
0.635928 + 0.771748i \(0.280617\pi\)
\(654\) −4.49597 1.63640i −0.175806 0.0639883i
\(655\) −4.45661 7.71908i −0.174134 0.301609i
\(656\) 0.121567 0.210560i 0.00474639 0.00822099i
\(657\) 29.0148 24.3463i 1.13198 0.949841i
\(658\) −9.34909 + 5.39770i −0.364466 + 0.210424i
\(659\) −3.29553 + 18.6899i −0.128376 + 0.728054i 0.850870 + 0.525376i \(0.176075\pi\)
−0.979246 + 0.202677i \(0.935036\pi\)
\(660\) 0.275995i 0.0107431i
\(661\) 21.2508 + 3.74709i 0.826560 + 0.145745i 0.570898 0.821021i \(-0.306595\pi\)
0.255662 + 0.966766i \(0.417706\pi\)
\(662\) −5.44074 4.56532i −0.211460 0.177436i
\(663\) −5.26113 + 1.91490i −0.204325 + 0.0743684i
\(664\) 5.71836 15.7111i 0.221915 0.609708i
\(665\) −4.51643 −0.175140
\(666\) 17.2968 2.75336i 0.670239 0.106690i
\(667\) 1.07274 0.0415367
\(668\) −5.57821 + 15.3260i −0.215827 + 0.592981i
\(669\) 0.457571 0.166542i 0.0176907 0.00643890i
\(670\) 9.30137 + 7.80477i 0.359343 + 0.301525i
\(671\) 0.364394 + 0.0642524i 0.0140673 + 0.00248044i
\(672\) 0.480920i 0.0185519i
\(673\) −7.18577 + 40.7525i −0.276991 + 1.57089i 0.455574 + 0.890198i \(0.349434\pi\)
−0.732565 + 0.680697i \(0.761677\pi\)
\(674\) −0.883304 + 0.509976i −0.0340236 + 0.0196435i
\(675\) 6.68367 5.60827i 0.257255 0.215862i
\(676\) −0.131428 + 0.227641i −0.00505494 + 0.00875541i
\(677\) 2.29044 + 3.96715i 0.0880287 + 0.152470i 0.906678 0.421824i \(-0.138610\pi\)
−0.818649 + 0.574294i \(0.805277\pi\)
\(678\) −1.39037 0.506052i −0.0533967 0.0194348i
\(679\) 6.65153 7.92699i 0.255262 0.304210i
\(680\) −3.26877 1.88722i −0.125351 0.0723717i
\(681\) 1.02816 0.181293i 0.0393994 0.00694717i
\(682\) −1.18779 6.73631i −0.0454830 0.257947i
\(683\) 23.1346 + 27.5707i 0.885220 + 1.05496i 0.998116 + 0.0613577i \(0.0195431\pi\)
−0.112895 + 0.993607i \(0.536013\pi\)
\(684\) −3.76700 10.3497i −0.144035 0.395732i
\(685\) 1.97694 + 5.43159i 0.0755349 + 0.207530i
\(686\) −10.7546 12.8169i −0.410614 0.489350i
\(687\) −0.559833 3.17497i −0.0213590 0.121133i
\(688\) 5.05935 0.892101i 0.192886 0.0340110i
\(689\) −40.9350 23.6338i −1.55950 0.900376i
\(690\) 0.202382 0.241189i 0.00770455 0.00918193i
\(691\) 33.8223 + 12.3103i 1.28666 + 0.468306i 0.892629 0.450791i \(-0.148858\pi\)
0.394031 + 0.919097i \(0.371080\pi\)
\(692\) 0.961119 + 1.66471i 0.0365363 + 0.0632827i
\(693\) −1.85808 + 3.21829i −0.0705826 + 0.122253i
\(694\) −3.81867 + 3.20425i −0.144955 + 0.121632i
\(695\) −14.1403 + 8.16390i −0.536372 + 0.309674i
\(696\) −0.0608471 + 0.345081i −0.00230640 + 0.0130803i
\(697\) 1.07627i 0.0407665i
\(698\) −25.3385 4.46786i −0.959077 0.169111i
\(699\) 7.29537 + 6.12154i 0.275936 + 0.231538i
\(700\) 5.56016 2.02373i 0.210154 0.0764900i
\(701\) −2.16083 + 5.93682i −0.0816132 + 0.224231i −0.973787 0.227462i \(-0.926957\pi\)
0.892174 + 0.451692i \(0.149180\pi\)
\(702\) −7.43619 −0.280661
\(703\) −22.9779 + 3.65769i −0.866629 + 0.137952i
\(704\) 0.932013 0.0351266
\(705\) 0.789581 2.16936i 0.0297373 0.0817027i
\(706\) 25.2046 9.17371i 0.948586 0.345257i
\(707\) −4.27368 3.58605i −0.160728 0.134867i
\(708\) 3.34063 + 0.589043i 0.125549 + 0.0221376i
\(709\) 15.4046i 0.578533i 0.957249 + 0.289267i \(0.0934114\pi\)
−0.957249 + 0.289267i \(0.906589\pi\)
\(710\) 2.02393 11.4783i 0.0759566 0.430771i
\(711\) −8.69161 + 5.01810i −0.325961 + 0.188194i
\(712\) −4.81771 + 4.04254i −0.180551 + 0.151500i
\(713\) 3.90161 6.75779i 0.146117 0.253081i
\(714\) −1.06443 1.84365i −0.0398353 0.0689968i
\(715\) −2.71960 0.989853i −0.101707 0.0370184i
\(716\) 12.1457 14.4747i 0.453907 0.540945i
\(717\) 0.222489 + 0.128454i 0.00830899 + 0.00479719i
\(718\) −19.6306 + 3.46141i −0.732609 + 0.129179i
\(719\) −0.517948 2.93743i −0.0193162 0.109548i 0.973625 0.228153i \(-0.0732687\pi\)
−0.992941 + 0.118606i \(0.962158\pi\)
\(720\) −1.57814 1.88076i −0.0588139 0.0700916i
\(721\) −0.110401 0.303325i −0.00411156 0.0112964i
\(722\) −1.49413 4.10509i −0.0556058 0.152776i
\(723\) −0.206108 0.245630i −0.00766523 0.00913506i
\(724\) −1.19012 6.74951i −0.0442305 0.250844i
\(725\) −4.24570 + 0.748632i −0.157681 + 0.0278035i
\(726\) −3.04718 1.75929i −0.113091 0.0652934i
\(727\) −11.3263 + 13.4981i −0.420068 + 0.500618i −0.934030 0.357195i \(-0.883733\pi\)
0.513961 + 0.857813i \(0.328177\pi\)
\(728\) −4.73890 1.72482i −0.175635 0.0639260i
\(729\) 10.3516 + 17.9296i 0.383394 + 0.664058i
\(730\) −5.60809 + 9.71349i −0.207565 + 0.359513i
\(731\) 17.4210 14.6179i 0.644338 0.540663i
\(732\) −0.119407 + 0.0689394i −0.00441339 + 0.00254807i
\(733\) −3.34139 + 18.9500i −0.123417 + 0.699933i 0.858818 + 0.512280i \(0.171199\pi\)
−0.982235 + 0.187653i \(0.939912\pi\)
\(734\) 14.8345i 0.547553i
\(735\) 1.48219 + 0.261350i 0.0546714 + 0.00964005i
\(736\) 0.814478 + 0.683428i 0.0300221 + 0.0251915i
\(737\) −12.4716 + 4.53929i −0.459397 + 0.167207i
\(738\) 0.239440 0.657856i 0.00881391 0.0242160i
\(739\) 33.3412 1.22648 0.613238 0.789898i \(-0.289867\pi\)
0.613238 + 0.789898i \(0.289867\pi\)
\(740\) −4.53431 + 2.51803i −0.166685 + 0.0925645i
\(741\) 4.83796 0.177727
\(742\) 6.14709 16.8890i 0.225667 0.620014i
\(743\) 34.4286 12.5310i 1.26306 0.459717i 0.378267 0.925697i \(-0.376520\pi\)
0.884795 + 0.465980i \(0.154298\pi\)
\(744\) 1.95255 + 1.63839i 0.0715841 + 0.0600662i
\(745\) 3.75840 + 0.662708i 0.137697 + 0.0242797i
\(746\) 2.70556i 0.0990575i
\(747\) 8.35968 47.4101i 0.305865 1.73465i
\(748\) 3.57295 2.06284i 0.130640 0.0754250i
\(749\) 6.84112 5.74038i 0.249969 0.209749i
\(750\) −1.37299 + 2.37809i −0.0501345 + 0.0868355i
\(751\) −9.48212 16.4235i −0.346008 0.599303i 0.639529 0.768767i \(-0.279130\pi\)
−0.985536 + 0.169465i \(0.945796\pi\)
\(752\) 7.32575 + 2.66635i 0.267143 + 0.0972319i
\(753\) −2.19474 + 2.61559i −0.0799809 + 0.0953175i
\(754\) 3.18213 + 1.83721i 0.115886 + 0.0669071i
\(755\) −7.42499 + 1.30923i −0.270223 + 0.0476476i
\(756\) −0.490993 2.78456i −0.0178572 0.101273i
\(757\) −28.2928 33.7181i −1.02832 1.22551i −0.973898 0.226987i \(-0.927112\pi\)
−0.0544232 0.998518i \(-0.517332\pi\)
\(758\) −6.88426 18.9143i −0.250047 0.687000i
\(759\) 0.117706 + 0.323395i 0.00427246 + 0.0117385i
\(760\) 2.09648 + 2.49848i 0.0760472 + 0.0906295i
\(761\) 1.42559 + 8.08493i 0.0516776 + 0.293078i 0.999683 0.0251759i \(-0.00801457\pi\)
−0.948005 + 0.318254i \(0.896903\pi\)
\(762\) 3.94319 0.695290i 0.142847 0.0251877i
\(763\) −16.5212 9.53850i −0.598107 0.345317i
\(764\) −13.6127 + 16.2230i −0.492492 + 0.586929i
\(765\) −10.2127 3.71710i −0.369239 0.134392i
\(766\) −13.4566 23.3076i −0.486208 0.842138i
\(767\) 17.7855 30.8053i 0.642196 1.11232i
\(768\) −0.266044 + 0.223238i −0.00960005 + 0.00805540i
\(769\) 46.6866 26.9545i 1.68356 0.972006i 0.724303 0.689482i \(-0.242162\pi\)
0.959260 0.282524i \(-0.0911717\pi\)