Properties

Label 74.2.h.a.67.2
Level $74$
Weight $2$
Character 74.67
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 67.2
Root \(0.342020 + 0.939693i\) of defining polynomial
Character \(\chi\) \(=\) 74.67
Dual form 74.2.h.a.21.2

$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\)

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 0.434507 0.900669i \(-0.356923\pi\)
−0.246087 + 0.969248i \(0.579145\pi\)
\(4\) −0.766044 + 0.642788i −0.383022 + 0.321394i
\(5\) 0.839712 0.148064i 0.375530 0.0662162i 0.0173025 0.999850i \(-0.494492\pi\)
0.358228 + 0.933634i \(0.383381\pi\)
\(6\) 0.347296i 0.141783i
\(7\) 0.240460 + 1.36372i 0.0908854 + 0.515437i 0.995931 + 0.0901216i \(0.0287256\pi\)
−0.905045 + 0.425315i \(0.860163\pi\)
\(8\) −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 −0.787181 0.616722i \(-0.788460\pi\)
0.927687 + 0.373358i \(0.121794\pi\)
\(12\) −0.326352 + 0.118782i −0.0942097 + 0.0342895i
\(13\) −2.34092 2.78980i −0.649254 0.773750i 0.336548 0.941666i \(-0.390741\pi\)
−0.985801 + 0.167916i \(0.946296\pi\)
\(14\) −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 −0.301260 0.953542i \(-0.597407\pi\)
0.991369 + 0.131102i \(0.0418517\pi\)
\(18\) 0.984808 2.70574i 0.232121 0.637748i
\(19\) −1.30826 + 3.59443i −0.300136 + 0.824618i 0.694339 + 0.719648i \(0.255697\pi\)
−0.994475 + 0.104970i \(0.966525\pi\)
\(20\) −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 −0.400921 0.916113i \(-0.631310\pi\)
0.592917 + 0.805264i \(0.297976\pi\)
\(24\) −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 0.578929 0.815378i \(-0.303471\pi\)
−0.416673 + 0.909056i \(0.636804\pi\)
\(30\) 0.0514220 + 0.291629i 0.00938833 + 0.0532439i
\(31\) 7.33920i 1.31816i 0.752073 + 0.659080i \(0.229054\pi\)
−0.752073 + 0.659080i \(0.770946\pi\)
\(32\) 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 −0.657216 0.753703i \(-0.728266\pi\)
0.628128 + 0.778110i \(0.283821\pi\)
\(42\) −0.473614 + 0.0835109i −0.0730802 + 0.0128860i
\(43\) 5.13740i 0.783447i 0.920083 + 0.391723i \(0.128121\pi\)
−0.920083 + 0.391723i \(0.871879\pi\)
\(44\) 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 0.996707 + 0.0810838i \(0.0258381\pi\)
−0.428133 + 0.903716i \(0.640829\pi\)
\(48\) 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 −0.291522 0.956564i \(-0.594162\pi\)
0.601106 0.799170i \(-0.294727\pi\)
\(54\) 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 −0.492110 0.870533i \(-0.663774\pi\)
−0.760172 + 0.649722i \(0.774885\pi\)
\(60\) −0.256454 + 0.148064i −0.0331081 + 0.0191150i
\(61\) 0.255191 + 0.304124i 0.0326738 + 0.0389391i 0.782134 0.623110i \(-0.214131\pi\)
−0.749460 + 0.662050i \(0.769687\pi\)
\(62\) −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 −0.636862 0.770978i \(-0.719768\pi\)
0.334765 0.942302i \(-0.391343\pi\)
\(68\) 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 0.962245 0.272184i \(-0.0877459\pi\)
0.562166 + 0.827024i \(0.309968\pi\)
\(72\) 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 0.0228205 0.999740i \(-0.492735\pi\)
0.363375 + 0.931643i \(0.381624\pi\)
\(80\) 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 −0.958438 0.285302i \(-0.907906\pi\)
−0.447399 0.894335i \(-0.647649\pi\)
\(84\) −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 0.491974 0.870610i \(-0.336275\pi\)
0.164538 + 0.986371i \(0.447387\pi\)
\(90\) 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 −0.134076 0.990971i \(-0.542807\pi\)
0.791168 + 0.611599i \(0.209473\pi\)
\(98\) 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 0.948670 0.316267i \(-0.102429\pi\)
−0.748230 + 0.663439i \(0.769096\pi\)
\(102\) 1.17768 + 0.988194i 0.116608 + 0.0978458i
\(103\) 0.201874 + 0.116552i 0.0198912 + 0.0114842i 0.509913 0.860226i \(-0.329678\pi\)
−0.490021 + 0.871710i \(0.663011\pi\)
\(104\) 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 −0.371959 0.928249i \(-0.621314\pi\)
0.849557 + 0.527497i \(0.176869\pi\)
\(108\) 1.91875 + 0.698367i 0.184632 + 0.0672004i
\(109\) 4.71183 + 12.9456i 0.451311 + 1.23997i 0.931802 + 0.362967i \(0.118236\pi\)
−0.480491 + 0.877000i \(0.659542\pi\)
\(110\) 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 0.989169 0.146779i \(-0.0468905\pi\)
−0.852095 + 0.523387i \(0.824668\pi\)
\(114\) −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 −0.757392 0.652961i \(-0.773527\pi\)
0.935041 0.354539i \(-0.115362\pi\)
\(128\) −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 −0.975039 0.222032i \(-0.928731\pi\)
0.387972 + 0.921671i \(0.373176\pi\)
\(132\) −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 −0.684128 0.729362i \(-0.739817\pi\)
0.973710 + 0.227791i \(0.0731502\pi\)
\(138\) 0.184627 + 0.319784i 0.0157165 + 0.0272218i
\(139\) −14.6691 12.3088i −1.24421 1.04402i −0.997183 0.0750129i \(-0.976100\pi\)
−0.247032 0.969007i \(-0.579455\pi\)
\(140\) −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 −0.0189744 0.999820i \(-0.506040\pi\)
−0.657207 + 0.753710i \(0.728262\pi\)
\(152\) 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 −0.127352 0.991858i \(-0.540648\pi\)
−0.998903 + 0.0468171i \(0.985092\pi\)
\(158\) 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 0.517992 0.855385i \(-0.326680\pi\)
0.194194 + 0.980963i \(0.437791\pi\)
\(164\) 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 0.513142 + 0.858304i \(0.328482\pi\)
−0.944796 + 0.327658i \(0.893741\pi\)
\(168\) 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 −0.409772 0.912188i \(-0.634392\pi\)
0.272440 + 0.962173i \(0.412169\pi\)
\(174\) −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 \(-0.750429\pi\)
0.708059 0.706154i \(-0.249571\pi\)
\(180\) 2.41785 0.426333i 0.180216 0.0317770i
\(181\) 5.25019 4.40543i 0.390243 0.327453i −0.426465 0.904504i \(-0.640241\pi\)
0.816708 + 0.577051i \(0.195797\pi\)
\(182\) 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 \(0.277845\pi\)
−0.642625 + 0.766181i \(0.722155\pi\)
\(192\) 0.0603074 + 0.342020i 0.00435231 + 0.0246832i
\(193\) 6.64750 + 3.83793i 0.478497 + 0.276261i 0.719790 0.694192i \(-0.244238\pi\)
−0.241293 + 0.970452i \(0.577571\pi\)
\(194\) 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 0.0676007 0.997712i \(-0.478466\pi\)
0.693102 + 0.720839i \(0.256243\pi\)
\(198\) −1.72500 2.05578i −0.122590 0.146098i
\(199\) 21.5452 12.4391i 1.52730 0.881788i 0.527828 0.849352i \(-0.323007\pi\)
0.999474 0.0324362i \(-0.0103266\pi\)
\(200\) 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 −0.998506 0.0546333i \(-0.982601\pi\)
0.546567 + 0.837415i \(0.315934\pi\)
\(212\) 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 −0.0745348 0.997218i \(-0.523747\pi\)
0.271029 + 0.962571i \(0.412636\pi\)
\(228\) 1.32845i 0.0879785i
\(229\) 1.61197 + 9.14196i 0.106522 + 0.604118i 0.990601 + 0.136780i \(0.0436755\pi\)
−0.884079 + 0.467337i \(0.845213\pi\)
\(230\) 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 0.0684634 0.997654i \(-0.478190\pi\)
0.829762 0.558118i \(-0.188476\pi\)
\(234\) −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 −0.750447 0.660931i \(-0.770162\pi\)
0.781204 + 0.624276i \(0.214606\pi\)
\(240\) 0.101282 0.278269i 0.00653770 0.0179622i
\(241\) −0.315775 + 0.867585i −0.0203409 + 0.0558861i −0.949448 0.313926i \(-0.898356\pi\)
0.929107 + 0.369812i \(0.120578\pi\)
\(242\) −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 0.206616 0.978422i \(-0.433755\pi\)
−0.744031 + 0.668146i \(0.767088\pi\)
\(252\) 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 0.982551 0.185991i \(-0.0595496\pi\)
−0.872231 + 0.489094i \(0.837327\pi\)
\(258\) −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 −0.982470 0.186423i \(-0.940311\pi\)
0.0129864 + 0.999916i \(0.495866\pi\)
\(264\) −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 −0.999992 0.00406062i \(-0.998707\pi\)
0.496479 0.868049i \(-0.334626\pi\)
\(270\) 0.870524 1.50779i 0.0529784 0.0917613i
\(271\) 9.99255 3.63699i 0.607004 0.220932i −0.0201876 0.999796i \(-0.506426\pi\)
0.627192 + 0.778865i \(0.284204\pi\)
\(272\) −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 −0.853953 0.520350i \(-0.825802\pi\)
0.988641 + 0.150299i \(0.0480238\pi\)
\(278\) 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 −0.609066 0.793119i \(-0.708456\pi\)
−0.843598 + 0.536976i \(0.819567\pi\)
\(282\) −2.34475 + 1.35374i −0.139628 + 0.0806143i
\(283\) 12.6719 + 15.1018i 0.753267 + 0.897709i 0.997402 0.0720321i \(-0.0229484\pi\)
−0.244135 + 0.969741i \(0.578504\pi\)
\(284\) −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 0.309632 0.950856i \(-0.399794\pi\)
−0.374007 + 0.927426i \(0.622016\pi\)
\(294\) 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 0.464508 + 0.885569i \(0.346231\pi\)
−0.999179 + 0.0405091i \(0.987102\pi\)
\(308\) −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 −0.853628 0.520882i \(-0.825603\pi\)
−0.980301 + 0.197511i \(0.936714\pi\)
\(312\) −0.219629 + 1.24558i −0.0124340 + 0.0705169i
\(313\) −13.8536 + 16.5101i −0.783052 + 0.933206i −0.999067 0.0431845i \(-0.986250\pi\)
0.216015 + 0.976390i \(0.430694\pi\)
\(314\) 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 −0.769810 0.638273i \(-0.779649\pi\)
0.941687 0.336490i \(-0.109240\pi\)
\(318\) 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 0.988377 0.152022i \(-0.0485784\pi\)
−0.854859 + 0.518861i \(0.826356\pi\)
\(332\) 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 −0.663820 0.747892i \(-0.731066\pi\)
0.621259 + 0.783606i \(0.286622\pi\)
\(338\) −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 −0.611380 0.791337i \(-0.709385\pi\)
0.379628 + 0.925139i \(0.376052\pi\)
\(348\) −0.345081 0.0608471i −0.0184983 0.00326175i
\(349\) −4.46786 + 25.3385i −0.239159 + 1.35634i 0.594516 + 0.804084i \(0.297344\pi\)
−0.833675 + 0.552255i \(0.813767\pi\)
\(350\) 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 −0.0776786 0.996978i \(-0.524751\pi\)
0.995321 0.0966250i \(-0.0308048\pi\)
\(354\) 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 0.473516 + 0.880785i \(0.342985\pi\)
−0.999540 + 0.0303155i \(0.990349\pi\)
\(360\) 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 −0.0484843 0.998824i \(-0.515439\pi\)
−0.679173 + 0.733978i \(0.737661\pi\)
\(368\) −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 0.407000 0.913428i \(-0.366575\pi\)
−0.275360 + 0.961341i \(0.588797\pi\)
\(374\) 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 0.946246 0.323447i \(-0.104842\pi\)
−0.154220 + 0.988037i \(0.549286\pi\)
\(380\) −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 0.998198 + 0.0600143i \(0.0191146\pi\)
−0.114233 + 0.993454i \(0.536441\pi\)
\(384\) −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 −0.947831 0.318772i \(-0.896729\pi\)
0.930984 + 0.365061i \(0.118952\pi\)
\(390\) 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 −0.997762 0.0668724i \(-0.978698\pi\)
0.440968 0.897523i \(-0.354635\pi\)
\(398\) 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 \(-0.804571\pi\)
0.817374 0.576108i \(-0.195429\pi\)
\(402\) 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 0.999840 + 0.0178901i \(0.00569489\pi\)
−0.754422 + 0.656389i \(0.772083\pi\)
\(410\) −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 −0.700605 0.713549i \(-0.747086\pi\)
−0.0780339 + 0.996951i \(0.524864\pi\)
\(420\) −0.263584 0.314127i −0.0128616 0.0153278i
\(421\) 13.6763 7.89599i 0.666540 0.384827i −0.128224 0.991745i \(-0.540928\pi\)
0.794764 + 0.606918i \(0.207594\pi\)
\(422\) −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 −0.909675 0.415321i \(-0.863669\pi\)
−0.251048 0.967975i \(-0.580775\pi\)
\(432\) −1.91875 + 0.698367i −0.0923158 + 0.0336002i
\(433\) −8.01147 + 13.8763i −0.385007 + 0.666852i −0.991770 0.128031i \(-0.959134\pi\)
0.606763 + 0.794883i \(0.292468\pi\)
\(434\) −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 −0.832569 0.553921i \(-0.813131\pi\)
−0.592907 + 0.805271i \(0.702020\pi\)
\(440\) −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 0.481307 0.876552i \(-0.340162\pi\)
0.752079 + 0.659073i \(0.229051\pi\)
\(450\) 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 0.281569 0.959541i \(-0.409145\pi\)
−0.993857 + 0.110669i \(0.964701\pi\)
\(458\) −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 −0.964128 0.265436i \(-0.914484\pi\)
0.428823 + 0.903389i \(0.358929\pi\)
\(462\) −0.153302 + 0.421193i −0.00713223 + 0.0195956i
\(463\) −3.97134 + 10.9112i −0.184564 + 0.507085i −0.997124 0.0757928i \(-0.975851\pi\)
0.812560 + 0.582878i \(0.198073\pi\)
\(464\) 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 −0.632269 0.774749i \(-0.717876\pi\)
0.354818 + 0.934935i \(0.384543\pi\)
\(468\) −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 −0.908327 0.418261i \(-0.862640\pi\)
0.426966 0.904268i \(-0.359583\pi\)
\(480\) 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 \(-0.798290\pi\)
0.805848 0.592123i \(-0.201710\pi\)
\(488\) −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 0.739605 0.673041i \(-0.235012\pi\)
−0.952673 + 0.303997i \(0.901679\pi\)
\(492\) 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 −0.999253 0.0386425i \(-0.987697\pi\)
0.790311 + 0.612706i \(0.209919\pi\)
\(500\) 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 0.594357 0.804201i \(-0.297407\pi\)
0.283460 + 0.958984i \(0.408518\pi\)
\(504\) −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 0.954806 0.297229i \(-0.0960624\pi\)
−0.126913 + 0.991914i \(0.540507\pi\)
\(510\) 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 0.627408 0.778691i \(-0.284116\pi\)
−0.0199104 + 0.999802i \(0.506338\pi\)
\(522\) 2.22548 1.86740i 0.0974064 0.0817337i
\(523\) 9.25252 1.63147i 0.404585 0.0713392i 0.0323471 0.999477i \(-0.489702\pi\)
0.372237 + 0.928138i \(0.378591\pi\)
\(524\) 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 −0.616763 + 0.787149i \(0.711556\pi\)
−0.990072 + 0.140559i \(0.955110\pi\)
\(542\) 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 −0.0245851 0.999698i \(-0.507826\pi\)
−0.878056 + 0.478558i \(0.841160\pi\)
\(548\) 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 0.937045 + 0.349210i \(0.113550\pi\)
−0.493350 + 0.869831i \(0.664228\pi\)
\(558\) 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 0.563032 0.826435i \(-0.309635\pi\)
−0.434198 + 0.900817i \(0.642968\pi\)
\(564\) −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 −0.984336 0.176301i \(-0.943587\pi\)
−0.339487 + 0.940611i \(0.610254\pi\)
\(570\) −1.11551 0.196695i −0.0467236 0.00823864i
\(571\) −6.71527 + 38.0842i −0.281025 + 1.59377i 0.438122 + 0.898915i \(0.355644\pi\)
−0.719147 + 0.694858i \(0.755467\pi\)
\(572\) 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 0.963841 0.266477i \(-0.0858596\pi\)
0.814574 + 0.580060i \(0.196971\pi\)
\(578\) 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 −0.173874 0.984768i \(-0.555629\pi\)
0.173422 + 0.984848i \(0.444517\pi\)
\(588\) −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 −0.987309 0.158809i \(-0.949234\pi\)
0.873451 0.486912i \(-0.161877\pi\)
\(600\) 1.28517 + 0.741992i 0.0524668 + 0.0302917i
\(601\) −15.1796 12.7372i −0.619189 0.519561i 0.278359 0.960477i \(-0.410209\pi\)
−0.897549 + 0.440916i \(0.854654\pi\)
\(602\) −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 −0.127291 0.991865i \(-0.540628\pi\)
−0.458852 + 0.888513i \(0.651739\pi\)
\(608\) −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 −0.999548 0.0300607i \(-0.990430\pi\)
0.949549 + 0.313618i \(0.101541\pi\)
\(614\) −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 −0.372990 0.927835i \(-0.621667\pi\)
0.310674 + 0.950516i \(0.399445\pi\)
\(618\) −0.0404781 + 0.0701101i −0.00162827 + 0.00282024i
\(619\) −6.28743 10.8902i −0.252713 0.437712i 0.711559 0.702627i \(-0.247990\pi\)
−0.964272 + 0.264914i \(0.914656\pi\)
\(620\) −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 −0.993130 0.117017i \(-0.962667\pi\)
0.685565 0.728012i \(-0.259555\pi\)
\(632\) −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 0.304568 0.952491i \(-0.401488\pi\)
0.845562 + 0.533878i \(0.179266\pi\)
\(642\) 1.43969 + 1.71575i 0.0568199 + 0.0677154i
\(643\) −0.920945 + 0.531708i −0.0363185 + 0.0209685i −0.518049 0.855351i \(-0.673342\pi\)
0.481731 + 0.876319i \(0.340008\pi\)
\(644\) −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 −0.996514 0.0834293i \(-0.973413\pi\)
0.817001 + 0.576636i \(0.195635\pi\)
\(648\) 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 0.635928 0.771748i \(-0.280617\pi\)
−0.870451 + 0.492254i \(0.836173\pi\)
\(654\) −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 −0.979246 0.202677i \(-0.935036\pi\)
0.850870 0.525376i \(-0.176075\pi\)
\(660\) 0.275995i 0.0107431i
\(661\) 21.2508 3.74709i 0.826560 0.145745i 0.255662 0.966766i \(-0.417706\pi\)
0.570898 + 0.821021i \(0.306595\pi\)
\(662\) −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 −0.732565 0.680697i \(-0.761677\pi\)
0.455574 0.890198i \(-0.349434\pi\)
\(674\) −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 −0.818649 0.574294i \(-0.805277\pi\)
0.906678 + 0.421824i \(0.138610\pi\)
\(678\) −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 −0.112895 0.993607i \(-0.536013\pi\)
0.998116 0.0613577i \(-0.0195431\pi\)
\(684\) −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 0.394031 0.919097i \(-0.371080\pi\)
0.892629 + 0.450791i \(0.148858\pi\)
\(692\) 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 0.892174 0.451692i \(-0.149180\pi\)
−0.973787 + 0.227462i \(0.926957\pi\)
\(702\) −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 \(-0.906589\pi\)
0.957249 0.289267i \(-0.0934114\pi\)
\(710\) 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 −0.992941 0.118606i \(-0.962158\pi\)
0.973625 + 0.228153i \(0.0732687\pi\)
\(720\) −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 0.513961 0.857813i \(-0.328177\pi\)
−0.934030 + 0.357195i \(0.883733\pi\)
\(728\) −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 −0.982235 0.187653i \(-0.939912\pi\)
0.858818 0.512280i \(-0.171199\pi\)
\(734\) 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 0.884795 0.465980i \(-0.154298\pi\)
0.378267 + 0.925697i \(0.376520\pi\)
\(744\) 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 −0.985536 0.169465i \(-0.945796\pi\)
0.639529 + 0.768767i \(0.279130\pi\)
\(752\) 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 −0.0544232 + 0.998518i \(0.517332\pi\)
−0.973898 + 0.226987i \(0.927112\pi\)
\(758\) −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 −0.948005 0.318254i \(-0.896903\pi\)
0.999683 + 0.0251759i \(0.00801457\pi\)
\(762\) 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 0.959260 + 0.282524i \(0.0911717\pi\)
0.724303 + 0.689482i \(0.242162\pi\)
\(770\) 0.191092