Properties

Label 114.2.i.b.43.1
Level $114$
Weight $2$
Character 114.43
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 43.1
Root \(0.939693 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 114.43
Dual form 114.2.i.b.61.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.173648 - 0.984808i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.97178 - 2.49362i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-0.613341 - 1.06234i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.173648 - 0.984808i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-2.97178 - 2.49362i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-0.613341 - 1.06234i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +(3.64543 + 1.32683i) q^{10} +(1.06031 - 1.83651i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(0.0851223 + 0.482753i) q^{13} +(0.939693 + 0.788496i) q^{14} +(-2.97178 + 2.49362i) q^{15} +(0.173648 - 0.984808i) q^{16} +(5.19846 - 1.89209i) q^{17} +1.00000 q^{18} +(2.77719 - 3.35965i) q^{19} -3.87939 q^{20} +(-1.15270 + 0.419550i) q^{21} +(-0.368241 + 2.08840i) q^{22} +(-6.85117 + 5.74881i) q^{23} +(0.766044 + 0.642788i) q^{24} +(1.74510 + 9.89695i) q^{25} +(-0.245100 - 0.424525i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(-1.15270 - 0.419550i) q^{28} +(7.96451 + 2.89884i) q^{29} +(1.93969 - 3.35965i) q^{30} +(-1.20574 - 2.08840i) q^{31} +(0.173648 + 0.984808i) q^{32} +(-1.62449 - 1.36310i) q^{33} +(-4.23783 + 3.55596i) q^{34} +(-0.826352 + 4.68647i) q^{35} +(-0.939693 + 0.342020i) q^{36} +1.69459 q^{37} +(-1.46064 + 4.10689i) q^{38} +0.490200 q^{39} +(3.64543 - 1.32683i) q^{40} +(0.277189 - 1.57202i) q^{41} +(0.939693 - 0.788496i) q^{42} +(-5.08512 - 4.26692i) q^{43} +(-0.368241 - 2.08840i) q^{44} +(1.93969 + 3.35965i) q^{45} +(4.47178 - 7.74535i) q^{46} +(-2.03936 - 0.742267i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(2.74763 - 4.75903i) q^{49} +(-5.02481 - 8.70323i) q^{50} +(-0.960637 - 5.44804i) q^{51} +(0.375515 + 0.315094i) q^{52} +(6.80793 - 5.71253i) q^{53} +(0.173648 - 0.984808i) q^{54} +(-7.73055 + 2.81369i) q^{55} +1.22668 q^{56} +(-2.82635 - 3.31839i) q^{57} -8.47565 q^{58} +(10.7306 - 3.90560i) q^{59} +(-0.673648 + 3.82045i) q^{60} +(0.0320889 - 0.0269258i) q^{61} +(1.84730 + 1.55007i) q^{62} +(0.213011 + 1.20805i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(0.950837 - 1.64690i) q^{65} +(1.99273 + 0.725293i) q^{66} +(-4.20574 - 1.53076i) q^{67} +(2.76604 - 4.79093i) q^{68} +(4.47178 + 7.74535i) q^{69} +(-0.826352 - 4.68647i) q^{70} +(2.02094 + 1.69577i) q^{71} +(0.766044 - 0.642788i) q^{72} +(-2.66772 + 15.1294i) q^{73} +(-1.59240 + 0.579585i) q^{74} +10.0496 q^{75} +(-0.0320889 - 4.35878i) q^{76} -2.60132 q^{77} +(-0.460637 + 0.167658i) q^{78} +(-0.809278 + 4.58964i) q^{79} +(-2.97178 + 2.49362i) q^{80} +(0.766044 + 0.642788i) q^{81} +(0.277189 + 1.57202i) q^{82} +(-6.24035 - 10.8086i) q^{83} +(-0.613341 + 1.06234i) q^{84} +(-20.1668 - 7.34013i) q^{85} +(6.23783 + 2.27038i) q^{86} +(4.23783 - 7.34013i) q^{87} +(1.06031 + 1.83651i) q^{88} +(1.46838 + 8.32759i) q^{89} +(-2.97178 - 2.49362i) q^{90} +(0.460637 - 0.386520i) q^{91} +(-1.55303 + 8.80769i) q^{92} +(-2.26604 + 0.824773i) q^{93} +2.17024 q^{94} +(-16.6309 + 3.05888i) q^{95} +1.00000 q^{96} +(13.5103 - 4.91734i) q^{97} +(-0.954241 + 5.41177i) q^{98} +(-1.62449 + 1.36310i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 3q^{5} + 3q^{7} - 3q^{8} + O(q^{10}) \) \( 6q - 3q^{5} + 3q^{7} - 3q^{8} + 6q^{10} + 12q^{11} - 3q^{12} - 21q^{13} - 3q^{15} + 3q^{17} + 6q^{18} + 6q^{19} - 12q^{20} - 9q^{21} + 3q^{22} - 15q^{23} + 9q^{25} - 3q^{27} - 9q^{28} + 15q^{29} + 6q^{30} + 3q^{31} + 3q^{33} - 6q^{34} - 6q^{35} + 6q^{37} + 6q^{40} - 9q^{41} - 9q^{43} + 3q^{44} + 6q^{45} + 12q^{46} - 21q^{47} - 3q^{50} + 3q^{51} + 15q^{52} + 30q^{53} - 9q^{55} - 6q^{56} - 18q^{57} - 12q^{58} + 27q^{59} - 3q^{60} - 9q^{61} + 9q^{62} + 9q^{63} - 3q^{64} - 6q^{65} - 6q^{66} - 15q^{67} + 12q^{68} + 12q^{69} - 6q^{70} + 9q^{71} + 12q^{73} - 6q^{74} + 6q^{75} + 9q^{76} + 42q^{77} + 6q^{78} + 15q^{79} - 3q^{80} - 9q^{82} - 3q^{83} + 3q^{84} - 36q^{85} + 18q^{86} + 6q^{87} + 12q^{88} - 48q^{89} - 3q^{90} - 6q^{91} + 3q^{92} - 9q^{93} - 30q^{94} - 48q^{95} + 6q^{96} + 18q^{97} - 36q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) 0.173648 0.984808i 0.100256 0.568579i
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −2.97178 2.49362i −1.32902 1.11518i −0.984305 0.176474i \(-0.943531\pi\)
−0.344716 0.938707i \(-0.612025\pi\)
\(6\) 0.173648 + 0.984808i 0.0708916 + 0.402046i
\(7\) −0.613341 1.06234i −0.231821 0.401526i 0.726523 0.687142i \(-0.241135\pi\)
−0.958344 + 0.285616i \(0.907802\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −0.939693 0.342020i −0.313231 0.114007i
\(10\) 3.64543 + 1.32683i 1.15279 + 0.419580i
\(11\) 1.06031 1.83651i 0.319695 0.553727i −0.660730 0.750624i \(-0.729753\pi\)
0.980424 + 0.196897i \(0.0630863\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) 0.0851223 + 0.482753i 0.0236087 + 0.133891i 0.994334 0.106301i \(-0.0339006\pi\)
−0.970725 + 0.240192i \(0.922790\pi\)
\(14\) 0.939693 + 0.788496i 0.251143 + 0.210734i
\(15\) −2.97178 + 2.49362i −0.767311 + 0.643850i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 5.19846 1.89209i 1.26081 0.458898i 0.376771 0.926306i \(-0.377034\pi\)
0.884042 + 0.467408i \(0.154812\pi\)
\(18\) 1.00000 0.235702
\(19\) 2.77719 3.35965i 0.637131 0.770756i
\(20\) −3.87939 −0.867457
\(21\) −1.15270 + 0.419550i −0.251541 + 0.0915533i
\(22\) −0.368241 + 2.08840i −0.0785092 + 0.445248i
\(23\) −6.85117 + 5.74881i −1.42857 + 1.19871i −0.482013 + 0.876164i \(0.660094\pi\)
−0.946554 + 0.322546i \(0.895461\pi\)
\(24\) 0.766044 + 0.642788i 0.156368 + 0.131208i
\(25\) 1.74510 + 9.89695i 0.349020 + 1.97939i
\(26\) −0.245100 0.424525i −0.0480680 0.0832563i
\(27\) −0.500000 + 0.866025i −0.0962250 + 0.166667i
\(28\) −1.15270 0.419550i −0.217841 0.0792875i
\(29\) 7.96451 + 2.89884i 1.47897 + 0.538302i 0.950521 0.310662i \(-0.100551\pi\)
0.528451 + 0.848964i \(0.322773\pi\)
\(30\) 1.93969 3.35965i 0.354138 0.613385i
\(31\) −1.20574 2.08840i −0.216557 0.375087i 0.737196 0.675679i \(-0.236149\pi\)
−0.953753 + 0.300591i \(0.902816\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −1.62449 1.36310i −0.282787 0.237286i
\(34\) −4.23783 + 3.55596i −0.726781 + 0.609842i
\(35\) −0.826352 + 4.68647i −0.139679 + 0.792159i
\(36\) −0.939693 + 0.342020i −0.156615 + 0.0570034i
\(37\) 1.69459 0.278589 0.139295 0.990251i \(-0.455516\pi\)
0.139295 + 0.990251i \(0.455516\pi\)
\(38\) −1.46064 + 4.10689i −0.236947 + 0.666225i
\(39\) 0.490200 0.0784948
\(40\) 3.64543 1.32683i 0.576393 0.209790i
\(41\) 0.277189 1.57202i 0.0432896 0.245508i −0.955483 0.295048i \(-0.904664\pi\)
0.998772 + 0.0495401i \(0.0157756\pi\)
\(42\) 0.939693 0.788496i 0.144998 0.121668i
\(43\) −5.08512 4.26692i −0.775474 0.650700i 0.166631 0.986019i \(-0.446711\pi\)
−0.942104 + 0.335320i \(0.891156\pi\)
\(44\) −0.368241 2.08840i −0.0555144 0.314838i
\(45\) 1.93969 + 3.35965i 0.289152 + 0.500826i
\(46\) 4.47178 7.74535i 0.659328 1.14199i
\(47\) −2.03936 0.742267i −0.297472 0.108271i 0.188973 0.981982i \(-0.439484\pi\)
−0.486444 + 0.873711i \(0.661706\pi\)
\(48\) −0.939693 0.342020i −0.135633 0.0493664i
\(49\) 2.74763 4.75903i 0.392518 0.679861i
\(50\) −5.02481 8.70323i −0.710616 1.23082i
\(51\) −0.960637 5.44804i −0.134516 0.762879i
\(52\) 0.375515 + 0.315094i 0.0520745 + 0.0436957i
\(53\) 6.80793 5.71253i 0.935142 0.784677i −0.0415917 0.999135i \(-0.513243\pi\)
0.976733 + 0.214458i \(0.0687984\pi\)
\(54\) 0.173648 0.984808i 0.0236305 0.134015i
\(55\) −7.73055 + 2.81369i −1.04239 + 0.379398i
\(56\) 1.22668 0.163922
\(57\) −2.82635 3.31839i −0.374359 0.439532i
\(58\) −8.47565 −1.11291
\(59\) 10.7306 3.90560i 1.39700 0.508466i 0.469713 0.882819i \(-0.344357\pi\)
0.927286 + 0.374353i \(0.122135\pi\)
\(60\) −0.673648 + 3.82045i −0.0869676 + 0.493218i
\(61\) 0.0320889 0.0269258i 0.00410856 0.00344749i −0.640731 0.767765i \(-0.721369\pi\)
0.644840 + 0.764318i \(0.276924\pi\)
\(62\) 1.84730 + 1.55007i 0.234607 + 0.196859i
\(63\) 0.213011 + 1.20805i 0.0268369 + 0.152199i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 0.950837 1.64690i 0.117937 0.204273i
\(66\) 1.99273 + 0.725293i 0.245288 + 0.0892774i
\(67\) −4.20574 1.53076i −0.513813 0.187012i 0.0720836 0.997399i \(-0.477035\pi\)
−0.585896 + 0.810386i \(0.699257\pi\)
\(68\) 2.76604 4.79093i 0.335432 0.580986i
\(69\) 4.47178 + 7.74535i 0.538339 + 0.932431i
\(70\) −0.826352 4.68647i −0.0987679 0.560141i
\(71\) 2.02094 + 1.69577i 0.239842 + 0.201251i 0.754783 0.655974i \(-0.227742\pi\)
−0.514941 + 0.857225i \(0.672186\pi\)
\(72\) 0.766044 0.642788i 0.0902792 0.0757532i
\(73\) −2.66772 + 15.1294i −0.312233 + 1.77076i 0.275101 + 0.961415i \(0.411289\pi\)
−0.587334 + 0.809345i \(0.699822\pi\)
\(74\) −1.59240 + 0.579585i −0.185112 + 0.0673754i
\(75\) 10.0496 1.16043
\(76\) −0.0320889 4.35878i −0.00368085 0.499986i
\(77\) −2.60132 −0.296448
\(78\) −0.460637 + 0.167658i −0.0521569 + 0.0189836i
\(79\) −0.809278 + 4.58964i −0.0910509 + 0.516375i 0.904835 + 0.425762i \(0.139994\pi\)
−0.995886 + 0.0906133i \(0.971117\pi\)
\(80\) −2.97178 + 2.49362i −0.332255 + 0.278795i
\(81\) 0.766044 + 0.642788i 0.0851160 + 0.0714208i
\(82\) 0.277189 + 1.57202i 0.0306104 + 0.173600i
\(83\) −6.24035 10.8086i −0.684968 1.18640i −0.973447 0.228913i \(-0.926483\pi\)
0.288479 0.957486i \(-0.406850\pi\)
\(84\) −0.613341 + 1.06234i −0.0669210 + 0.115911i
\(85\) −20.1668 7.34013i −2.18740 0.796149i
\(86\) 6.23783 + 2.27038i 0.672642 + 0.244822i
\(87\) 4.23783 7.34013i 0.454343 0.786945i
\(88\) 1.06031 + 1.83651i 0.113029 + 0.195772i
\(89\) 1.46838 + 8.32759i 0.155648 + 0.882722i 0.958191 + 0.286129i \(0.0923685\pi\)
−0.802543 + 0.596594i \(0.796520\pi\)
\(90\) −2.97178 2.49362i −0.313253 0.262851i
\(91\) 0.460637 0.386520i 0.0482879 0.0405184i
\(92\) −1.55303 + 8.80769i −0.161915 + 0.918265i
\(93\) −2.26604 + 0.824773i −0.234978 + 0.0855249i
\(94\) 2.17024 0.223844
\(95\) −16.6309 + 3.05888i −1.70629 + 0.313834i
\(96\) 1.00000 0.102062
\(97\) 13.5103 4.91734i 1.37176 0.499280i 0.452090 0.891972i \(-0.350679\pi\)
0.919670 + 0.392693i \(0.128456\pi\)
\(98\) −0.954241 + 5.41177i −0.0963929 + 0.546671i
\(99\) −1.62449 + 1.36310i −0.163267 + 0.136997i
\(100\) 7.69846 + 6.45978i 0.769846 + 0.645978i
\(101\) 0.988856 + 5.60808i 0.0983948 + 0.558025i 0.993654 + 0.112479i \(0.0358792\pi\)
−0.895259 + 0.445546i \(0.853010\pi\)
\(102\) 2.76604 + 4.79093i 0.273879 + 0.474373i
\(103\) 0.156574 0.271194i 0.0154277 0.0267216i −0.858208 0.513301i \(-0.828422\pi\)
0.873636 + 0.486580i \(0.161756\pi\)
\(104\) −0.460637 0.167658i −0.0451692 0.0164402i
\(105\) 4.47178 + 1.62760i 0.436401 + 0.158837i
\(106\) −4.44356 + 7.69648i −0.431597 + 0.747548i
\(107\) 8.41400 + 14.5735i 0.813412 + 1.40887i 0.910462 + 0.413592i \(0.135726\pi\)
−0.0970504 + 0.995279i \(0.530941\pi\)
\(108\) 0.173648 + 0.984808i 0.0167093 + 0.0947632i
\(109\) −7.97565 6.69237i −0.763929 0.641012i 0.175217 0.984530i \(-0.443937\pi\)
−0.939146 + 0.343517i \(0.888382\pi\)
\(110\) 6.30200 5.28801i 0.600872 0.504192i
\(111\) 0.294263 1.66885i 0.0279302 0.158400i
\(112\) −1.15270 + 0.419550i −0.108920 + 0.0396437i
\(113\) −17.3824 −1.63520 −0.817598 0.575789i \(-0.804695\pi\)
−0.817598 + 0.575789i \(0.804695\pi\)
\(114\) 3.79086 + 2.15160i 0.355047 + 0.201516i
\(115\) 34.6955 3.23537
\(116\) 7.96451 2.89884i 0.739486 0.269151i
\(117\) 0.0851223 0.482753i 0.00786956 0.0446305i
\(118\) −8.74763 + 7.34013i −0.805284 + 0.675714i
\(119\) −5.19846 4.36203i −0.476542 0.399866i
\(120\) −0.673648 3.82045i −0.0614954 0.348758i
\(121\) 3.25150 + 5.63176i 0.295591 + 0.511978i
\(122\) −0.0209445 + 0.0362770i −0.00189623 + 0.00328436i
\(123\) −1.50000 0.545955i −0.135250 0.0492271i
\(124\) −2.26604 0.824773i −0.203497 0.0740668i
\(125\) 9.79473 16.9650i 0.876067 1.51739i
\(126\) −0.613341 1.06234i −0.0546407 0.0946405i
\(127\) −0.283119 1.60565i −0.0251227 0.142478i 0.969666 0.244432i \(-0.0786016\pi\)
−0.994789 + 0.101954i \(0.967490\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) −5.08512 + 4.26692i −0.447720 + 0.375682i
\(130\) −0.330222 + 1.87278i −0.0289624 + 0.164254i
\(131\) −5.60354 + 2.03952i −0.489584 + 0.178194i −0.575003 0.818151i \(-0.694999\pi\)
0.0854195 + 0.996345i \(0.472777\pi\)
\(132\) −2.12061 −0.184576
\(133\) −5.27244 0.889704i −0.457179 0.0771471i
\(134\) 4.47565 0.386637
\(135\) 3.64543 1.32683i 0.313749 0.114195i
\(136\) −0.960637 + 5.44804i −0.0823740 + 0.467166i
\(137\) −0.0150147 + 0.0125989i −0.00128280 + 0.00107639i −0.643429 0.765506i \(-0.722489\pi\)
0.642146 + 0.766582i \(0.278044\pi\)
\(138\) −6.85117 5.74881i −0.583210 0.489371i
\(139\) 0.780592 + 4.42696i 0.0662090 + 0.375490i 0.999851 + 0.0172815i \(0.00550113\pi\)
−0.933642 + 0.358208i \(0.883388\pi\)
\(140\) 2.37939 + 4.12122i 0.201095 + 0.348306i
\(141\) −1.08512 + 1.87949i −0.0913838 + 0.158281i
\(142\) −2.47906 0.902302i −0.208038 0.0757195i
\(143\) 0.976834 + 0.355538i 0.0816870 + 0.0297316i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −16.4402 28.4752i −1.36528 2.36474i
\(146\) −2.66772 15.1294i −0.220782 1.25212i
\(147\) −4.20961 3.53228i −0.347203 0.291338i
\(148\) 1.29813 1.08926i 0.106706 0.0895369i
\(149\) 2.08899 11.8473i 0.171137 0.970566i −0.771372 0.636385i \(-0.780429\pi\)
0.942509 0.334181i \(-0.108460\pi\)
\(150\) −9.44356 + 3.43718i −0.771064 + 0.280644i
\(151\) 0.0591253 0.00481155 0.00240578 0.999997i \(-0.499234\pi\)
0.00240578 + 0.999997i \(0.499234\pi\)
\(152\) 1.52094 + 4.08494i 0.123365 + 0.331332i
\(153\) −5.53209 −0.447243
\(154\) 2.44444 0.889704i 0.196979 0.0716944i
\(155\) −1.62449 + 9.21291i −0.130482 + 0.739999i
\(156\) 0.375515 0.315094i 0.0300652 0.0252277i
\(157\) 9.92649 + 8.32931i 0.792220 + 0.664752i 0.946294 0.323308i \(-0.104795\pi\)
−0.154074 + 0.988059i \(0.549239\pi\)
\(158\) −0.809278 4.58964i −0.0643827 0.365132i
\(159\) −4.44356 7.69648i −0.352397 0.610370i
\(160\) 1.93969 3.35965i 0.153346 0.265603i
\(161\) 10.3093 + 3.75227i 0.812485 + 0.295720i
\(162\) −0.939693 0.342020i −0.0738292 0.0268716i
\(163\) −7.53596 + 13.0527i −0.590262 + 1.02236i 0.403935 + 0.914788i \(0.367642\pi\)
−0.994197 + 0.107576i \(0.965691\pi\)
\(164\) −0.798133 1.38241i −0.0623237 0.107948i
\(165\) 1.42855 + 8.10170i 0.111212 + 0.630716i
\(166\) 9.56077 + 8.02244i 0.742060 + 0.622662i
\(167\) −1.48680 + 1.24757i −0.115052 + 0.0965399i −0.698499 0.715612i \(-0.746148\pi\)
0.583447 + 0.812151i \(0.301704\pi\)
\(168\) 0.213011 1.20805i 0.0164342 0.0932027i
\(169\) 11.9902 4.36408i 0.922323 0.335698i
\(170\) 21.4611 1.64599
\(171\) −3.75877 + 2.20718i −0.287440 + 0.168787i
\(172\) −6.63816 −0.506155
\(173\) −15.1027 + 5.49692i −1.14823 + 0.417923i −0.844881 0.534955i \(-0.820329\pi\)
−0.303354 + 0.952878i \(0.598106\pi\)
\(174\) −1.47178 + 8.34689i −0.111575 + 0.632776i
\(175\) 9.44356 7.92409i 0.713866 0.599005i
\(176\) −1.62449 1.36310i −0.122450 0.102748i
\(177\) −1.98293 11.2457i −0.149046 0.845281i
\(178\) −4.22803 7.32316i −0.316904 0.548894i
\(179\) −7.38713 + 12.7949i −0.552140 + 0.956334i 0.445980 + 0.895043i \(0.352855\pi\)
−0.998120 + 0.0612912i \(0.980478\pi\)
\(180\) 3.64543 + 1.32683i 0.271714 + 0.0988959i
\(181\) 17.1275 + 6.23389i 1.27308 + 0.463362i 0.888136 0.459580i \(-0.152000\pi\)
0.384939 + 0.922942i \(0.374222\pi\)
\(182\) −0.300660 + 0.520758i −0.0222864 + 0.0386011i
\(183\) −0.0209445 0.0362770i −0.00154826 0.00268167i
\(184\) −1.55303 8.80769i −0.114491 0.649312i
\(185\) −5.03596 4.22567i −0.370251 0.310678i
\(186\) 1.84730 1.55007i 0.135450 0.113656i
\(187\) 2.03714 11.5532i 0.148971 0.844854i
\(188\) −2.03936 + 0.742267i −0.148736 + 0.0541354i
\(189\) 1.22668 0.0892280
\(190\) 14.5817 8.56250i 1.05787 0.621189i
\(191\) 1.29086 0.0934033 0.0467017 0.998909i \(-0.485129\pi\)
0.0467017 + 0.998909i \(0.485129\pi\)
\(192\) −0.939693 + 0.342020i −0.0678165 + 0.0246832i
\(193\) −1.58378 + 8.98205i −0.114003 + 0.646542i 0.873236 + 0.487297i \(0.162017\pi\)
−0.987239 + 0.159245i \(0.949094\pi\)
\(194\) −11.0137 + 9.24157i −0.790735 + 0.663506i
\(195\) −1.45677 1.22237i −0.104321 0.0875359i
\(196\) −0.954241 5.41177i −0.0681600 0.386555i
\(197\) −9.31180 16.1285i −0.663439 1.14911i −0.979706 0.200439i \(-0.935763\pi\)
0.316268 0.948670i \(-0.397570\pi\)
\(198\) 1.06031 1.83651i 0.0753528 0.130515i
\(199\) −7.92262 2.88360i −0.561620 0.204413i 0.0455821 0.998961i \(-0.485486\pi\)
−0.607202 + 0.794548i \(0.707708\pi\)
\(200\) −9.44356 3.43718i −0.667761 0.243045i
\(201\) −2.23783 + 3.87603i −0.157844 + 0.273394i
\(202\) −2.84730 4.93166i −0.200335 0.346991i
\(203\) −1.80541 10.2390i −0.126715 0.718635i
\(204\) −4.23783 3.55596i −0.296707 0.248967i
\(205\) −4.74376 + 3.98048i −0.331318 + 0.278009i
\(206\) −0.0543776 + 0.308391i −0.00378867 + 0.0214866i
\(207\) 8.40420 3.05888i 0.584132 0.212607i
\(208\) 0.490200 0.0339892
\(209\) −3.22534 8.66258i −0.223101 0.599203i
\(210\) −4.75877 −0.328386
\(211\) 1.37939 0.502055i 0.0949608 0.0345629i −0.294103 0.955774i \(-0.595021\pi\)
0.389064 + 0.921211i \(0.372799\pi\)
\(212\) 1.54323 8.75211i 0.105990 0.601097i
\(213\) 2.02094 1.69577i 0.138473 0.116193i
\(214\) −12.8910 10.8168i −0.881210 0.739423i
\(215\) 4.47178 + 25.3607i 0.304973 + 1.72959i
\(216\) −0.500000 0.866025i −0.0340207 0.0589256i
\(217\) −1.47906 + 2.56180i −0.100405 + 0.173906i
\(218\) 9.78359 + 3.56093i 0.662628 + 0.241177i
\(219\) 14.4363 + 5.25438i 0.975514 + 0.355058i
\(220\) −4.11334 + 7.12452i −0.277321 + 0.480335i
\(221\) 1.35591 + 2.34851i 0.0912087 + 0.157978i
\(222\) 0.294263 + 1.66885i 0.0197496 + 0.112006i
\(223\) 20.1229 + 16.8851i 1.34753 + 1.13071i 0.979622 + 0.200848i \(0.0643697\pi\)
0.367906 + 0.929863i \(0.380075\pi\)
\(224\) 0.939693 0.788496i 0.0627859 0.0526836i
\(225\) 1.74510 9.89695i 0.116340 0.659797i
\(226\) 16.3341 5.94512i 1.08653 0.395464i
\(227\) 18.3678 1.21912 0.609558 0.792742i \(-0.291347\pi\)
0.609558 + 0.792742i \(0.291347\pi\)
\(228\) −4.29813 0.725293i −0.284651 0.0480337i
\(229\) 3.87164 0.255845 0.127923 0.991784i \(-0.459169\pi\)
0.127923 + 0.991784i \(0.459169\pi\)
\(230\) −32.6031 + 11.8666i −2.14979 + 0.782458i
\(231\) −0.451714 + 2.56180i −0.0297206 + 0.168554i
\(232\) −6.49273 + 5.44804i −0.426268 + 0.357682i
\(233\) 12.5988 + 10.5716i 0.825374 + 0.692571i 0.954224 0.299093i \(-0.0966840\pi\)
−0.128850 + 0.991664i \(0.541128\pi\)
\(234\) 0.0851223 + 0.482753i 0.00556462 + 0.0315585i
\(235\) 4.20961 + 7.29125i 0.274605 + 0.475629i
\(236\) 5.70961 9.88933i 0.371664 0.643741i
\(237\) 4.37939 + 1.59397i 0.284472 + 0.103539i
\(238\) 6.37686 + 2.32099i 0.413350 + 0.150447i
\(239\) −1.65270 + 2.86257i −0.106905 + 0.185164i −0.914515 0.404553i \(-0.867427\pi\)
0.807610 + 0.589717i \(0.200761\pi\)
\(240\) 1.93969 + 3.35965i 0.125207 + 0.216864i
\(241\) 0.523633 + 2.96967i 0.0337302 + 0.191293i 0.997017 0.0771806i \(-0.0245918\pi\)
−0.963287 + 0.268474i \(0.913481\pi\)
\(242\) −4.98158 4.18004i −0.320228 0.268703i
\(243\) 0.766044 0.642788i 0.0491418 0.0412348i
\(244\) 0.00727396 0.0412527i 0.000465668 0.00264093i
\(245\) −20.0326 + 7.29125i −1.27983 + 0.465821i
\(246\) 1.59627 0.101774
\(247\) 1.85828 + 1.05471i 0.118239 + 0.0671099i
\(248\) 2.41147 0.153129
\(249\) −11.7280 + 4.26865i −0.743233 + 0.270515i
\(250\) −3.40167 + 19.2919i −0.215141 + 1.22012i
\(251\) −2.70780 + 2.27211i −0.170915 + 0.143414i −0.724233 0.689556i \(-0.757806\pi\)
0.553318 + 0.832970i \(0.313361\pi\)
\(252\) 0.939693 + 0.788496i 0.0591951 + 0.0496706i
\(253\) 3.29339 + 18.6777i 0.207053 + 1.17426i
\(254\) 0.815207 + 1.41198i 0.0511507 + 0.0885956i
\(255\) −10.7306 + 18.5859i −0.671973 + 1.16389i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 4.41875 + 1.60829i 0.275634 + 0.100323i 0.476139 0.879370i \(-0.342036\pi\)
−0.200505 + 0.979693i \(0.564258\pi\)
\(258\) 3.31908 5.74881i 0.206637 0.357905i
\(259\) −1.03936 1.80023i −0.0645829 0.111861i
\(260\) −0.330222 1.87278i −0.0204795 0.116145i
\(261\) −6.49273 5.44804i −0.401890 0.337225i
\(262\) 4.56805 3.83305i 0.282215 0.236806i
\(263\) 3.65745 20.7424i 0.225528 1.27903i −0.636145 0.771570i \(-0.719472\pi\)
0.861673 0.507464i \(-0.169417\pi\)
\(264\) 1.99273 0.725293i 0.122644 0.0446387i
\(265\) −34.4766 −2.11788
\(266\) 5.25877 0.967233i 0.322436 0.0593049i
\(267\) 8.45605 0.517502
\(268\) −4.20574 + 1.53076i −0.256906 + 0.0935062i
\(269\) 1.75015 9.92561i 0.106709 0.605175i −0.883815 0.467836i \(-0.845034\pi\)
0.990524 0.137339i \(-0.0438550\pi\)
\(270\) −2.97178 + 2.49362i −0.180857 + 0.151757i
\(271\) −7.47952 6.27606i −0.454349 0.381244i 0.386698 0.922206i \(-0.373616\pi\)
−0.841047 + 0.540963i \(0.818060\pi\)
\(272\) −0.960637 5.44804i −0.0582472 0.330336i
\(273\) −0.300660 0.520758i −0.0181967 0.0315177i
\(274\) 0.00980018 0.0169744i 0.000592051 0.00102546i
\(275\) 20.0262 + 7.28893i 1.20762 + 0.439539i
\(276\) 8.40420 + 3.05888i 0.505873 + 0.184123i
\(277\) −8.42855 + 14.5987i −0.506422 + 0.877149i 0.493550 + 0.869717i \(0.335699\pi\)
−0.999972 + 0.00743188i \(0.997634\pi\)
\(278\) −2.24763 3.89300i −0.134804 0.233487i
\(279\) 0.418748 + 2.37484i 0.0250698 + 0.142178i
\(280\) −3.64543 3.05888i −0.217856 0.182803i
\(281\) −8.98158 + 7.53644i −0.535796 + 0.449586i −0.870097 0.492880i \(-0.835944\pi\)
0.334301 + 0.942466i \(0.391500\pi\)
\(282\) 0.376859 2.13727i 0.0224416 0.127273i
\(283\) 20.2456 7.36878i 1.20347 0.438029i 0.339039 0.940772i \(-0.389898\pi\)
0.864435 + 0.502744i \(0.167676\pi\)
\(284\) 2.63816 0.156546
\(285\) 0.124485 + 16.9094i 0.00737386 + 1.00163i
\(286\) −1.03952 −0.0614684
\(287\) −1.84002 + 0.669713i −0.108613 + 0.0395319i
\(288\) 0.173648 0.984808i 0.0102323 0.0580304i
\(289\) 10.4213 8.74449i 0.613016 0.514382i
\(290\) 25.1878 + 21.1351i 1.47908 + 1.24109i
\(291\) −2.49660 14.1589i −0.146353 0.830010i
\(292\) 7.68139 + 13.3046i 0.449519 + 0.778590i
\(293\) 5.56031 9.63073i 0.324837 0.562634i −0.656643 0.754202i \(-0.728024\pi\)
0.981479 + 0.191568i \(0.0613573\pi\)
\(294\) 5.16385 + 1.87949i 0.301162 + 0.109614i
\(295\) −41.6279 15.1513i −2.42367 0.882145i
\(296\) −0.847296 + 1.46756i −0.0492481 + 0.0853002i
\(297\) 1.06031 + 1.83651i 0.0615253 + 0.106565i
\(298\) 2.08899 + 11.8473i 0.121012 + 0.686294i
\(299\) −3.35844 2.81807i −0.194224 0.162973i
\(300\) 7.69846 6.45978i 0.444471 0.372955i
\(301\) −1.41400 + 8.01919i −0.0815016 + 0.462219i
\(302\) −0.0555596 + 0.0202221i −0.00319710 + 0.00116365i
\(303\) 5.69459 0.327146
\(304\) −2.82635 3.31839i −0.162102 0.190323i
\(305\) −0.162504 −0.00930494
\(306\) 5.19846 1.89209i 0.297176 0.108163i
\(307\) 4.34817 24.6597i 0.248163 1.40740i −0.564866 0.825182i \(-0.691072\pi\)
0.813030 0.582222i \(-0.197817\pi\)
\(308\) −1.99273 + 1.67210i −0.113546 + 0.0952765i
\(309\) −0.239885 0.201288i −0.0136466 0.0114509i
\(310\) −1.62449 9.21291i −0.0922646 0.523258i
\(311\) −0.0282185 0.0488759i −0.00160012 0.00277150i 0.865224 0.501385i \(-0.167176\pi\)
−0.866824 + 0.498614i \(0.833843\pi\)
\(312\) −0.245100 + 0.424525i −0.0138760 + 0.0240340i
\(313\) −12.9338 4.70750i −0.731059 0.266084i −0.0504462 0.998727i \(-0.516064\pi\)
−0.680613 + 0.732643i \(0.738287\pi\)
\(314\) −12.1766 4.43193i −0.687168 0.250109i
\(315\) 2.37939 4.12122i 0.134063 0.232204i
\(316\) 2.33022 + 4.03606i 0.131085 + 0.227046i
\(317\) 1.89347 + 10.7384i 0.106348 + 0.603128i 0.990673 + 0.136257i \(0.0435074\pi\)
−0.884326 + 0.466870i \(0.845381\pi\)
\(318\) 6.80793 + 5.71253i 0.381770 + 0.320343i
\(319\) 13.7686 11.5532i 0.770892 0.646855i
\(320\) −0.673648 + 3.82045i −0.0376581 + 0.213570i
\(321\) 15.8131 5.75552i 0.882604 0.321242i
\(322\) −10.9709 −0.611385
\(323\) 8.08037 22.7197i 0.449604 1.26416i
\(324\) 1.00000 0.0555556
\(325\) −4.62923 + 1.68490i −0.256784 + 0.0934616i
\(326\) 2.61721 14.8429i 0.144954 0.822075i
\(327\) −7.97565 + 6.69237i −0.441055 + 0.370089i
\(328\) 1.22281 + 1.02606i 0.0675185 + 0.0566547i
\(329\) 0.462286 + 2.62175i 0.0254867 + 0.144542i
\(330\) −4.11334 7.12452i −0.226432 0.392192i
\(331\) −4.29561 + 7.44021i −0.236108 + 0.408951i −0.959594 0.281388i \(-0.909205\pi\)
0.723486 + 0.690339i \(0.242539\pi\)
\(332\) −11.7280 4.26865i −0.643659 0.234273i
\(333\) −1.59240 0.579585i −0.0872628 0.0317611i
\(334\) 0.970437 1.68085i 0.0531000 0.0919718i
\(335\) 8.68139 + 15.0366i 0.474315 + 0.821538i
\(336\) 0.213011 + 1.20805i 0.0116207 + 0.0659043i
\(337\) −1.76991 1.48513i −0.0964134 0.0809005i 0.593307 0.804976i \(-0.297822\pi\)
−0.689720 + 0.724076i \(0.742267\pi\)
\(338\) −9.77450 + 8.20178i −0.531663 + 0.446118i
\(339\) −3.01842 + 17.1183i −0.163938 + 0.929738i
\(340\) −20.1668 + 7.34013i −1.09370 + 0.398074i
\(341\) −5.11381 −0.276928
\(342\) 2.77719 3.35965i 0.150173 0.181669i
\(343\) −15.3277 −0.827618
\(344\) 6.23783 2.27038i 0.336321 0.122411i
\(345\) 6.02481 34.1684i 0.324365 1.83957i
\(346\) 12.3118 10.3308i 0.661887 0.555389i
\(347\) −2.51707 2.11208i −0.135124 0.113382i 0.572721 0.819750i \(-0.305888\pi\)
−0.707845 + 0.706368i \(0.750332\pi\)
\(348\) −1.47178 8.34689i −0.0788958 0.447440i
\(349\) −14.6741 25.4163i −0.785487 1.36050i −0.928707 0.370813i \(-0.879079\pi\)
0.143220 0.989691i \(-0.454254\pi\)
\(350\) −6.16385 + 10.6761i −0.329472 + 0.570661i
\(351\) −0.460637 0.167658i −0.0245870 0.00894893i
\(352\) 1.99273 + 0.725293i 0.106213 + 0.0386582i
\(353\) 3.86959 6.70232i 0.205957 0.356728i −0.744480 0.667645i \(-0.767303\pi\)
0.950437 + 0.310916i \(0.100636\pi\)
\(354\) 5.70961 + 9.88933i 0.303462 + 0.525612i
\(355\) −1.77719 10.0789i −0.0943234 0.534935i
\(356\) 6.47771 + 5.43545i 0.343318 + 0.288078i
\(357\) −5.19846 + 4.36203i −0.275132 + 0.230863i
\(358\) 2.56552 14.5498i 0.135592 0.768981i
\(359\) −2.69459 + 0.980752i −0.142215 + 0.0517621i −0.412147 0.911117i \(-0.635221\pi\)
0.269932 + 0.962879i \(0.412999\pi\)
\(360\) −3.87939 −0.204462
\(361\) −3.57444 18.6607i −0.188129 0.982144i
\(362\) −18.2267 −0.957973
\(363\) 6.11081 2.22415i 0.320735 0.116738i
\(364\) 0.104418 0.592184i 0.00547299 0.0310389i
\(365\) 45.6548 38.3089i 2.38968 2.00518i
\(366\) 0.0320889 + 0.0269258i 0.00167731 + 0.00140743i
\(367\) −3.98798 22.6169i −0.208171 1.18060i −0.892372 0.451301i \(-0.850960\pi\)
0.684201 0.729294i \(-0.260151\pi\)
\(368\) 4.47178 + 7.74535i 0.233108 + 0.403754i
\(369\) −0.798133 + 1.38241i −0.0415492 + 0.0719653i
\(370\) 6.17752 + 2.24843i 0.321154 + 0.116890i
\(371\) −10.2442 3.72859i −0.531854 0.193579i
\(372\) −1.20574 + 2.08840i −0.0625146 + 0.108278i
\(373\) 11.5954 + 20.0838i 0.600387 + 1.03990i 0.992762 + 0.120095i \(0.0383199\pi\)
−0.392376 + 0.919805i \(0.628347\pi\)
\(374\) 2.03714 + 11.5532i 0.105338 + 0.597402i
\(375\) −15.0064 12.5919i −0.774927 0.650241i
\(376\) 1.66250 1.39501i 0.0857371 0.0719420i
\(377\) −0.721467 + 4.09164i −0.0371574 + 0.210730i
\(378\) −1.15270 + 0.419550i −0.0592887 + 0.0215793i
\(379\) −33.5185 −1.72173 −0.860864 0.508835i \(-0.830076\pi\)
−0.860864 + 0.508835i \(0.830076\pi\)
\(380\) −10.7738 + 13.0334i −0.552684 + 0.668597i
\(381\) −1.63041 −0.0835287
\(382\) −1.21301 + 0.441500i −0.0620630 + 0.0225891i
\(383\) 1.16860 6.62744i 0.0597125 0.338646i −0.940286 0.340385i \(-0.889442\pi\)
0.999998 + 0.00173918i \(0.000553599\pi\)
\(384\) 0.766044 0.642788i 0.0390920 0.0328021i
\(385\) 7.73055 + 6.48670i 0.393985 + 0.330593i
\(386\) −1.58378 8.98205i −0.0806122 0.457174i
\(387\) 3.31908 + 5.74881i 0.168718 + 0.292229i
\(388\) 7.18866 12.4511i 0.364949 0.632110i
\(389\) 17.8751 + 6.50601i 0.906304 + 0.329868i 0.752776 0.658277i \(-0.228714\pi\)
0.153528 + 0.988144i \(0.450937\pi\)
\(390\) 1.78699 + 0.650411i 0.0904877 + 0.0329348i
\(391\) −24.7383 + 42.8480i −1.25107 + 2.16692i
\(392\) 2.74763 + 4.75903i 0.138776 + 0.240367i
\(393\) 1.03549 + 5.87257i 0.0522337 + 0.296232i
\(394\) 14.2665 + 11.9710i 0.718736 + 0.603091i
\(395\) 13.8498 11.6214i 0.696860 0.584735i
\(396\) −0.368241 + 2.08840i −0.0185048 + 0.104946i
\(397\) 25.2913 9.20529i 1.26934 0.462000i 0.382444 0.923979i \(-0.375082\pi\)
0.886891 + 0.461978i \(0.152860\pi\)
\(398\) 8.43107 0.422612
\(399\) −1.79174 + 5.03785i −0.0896990 + 0.252208i
\(400\) 10.0496 0.502481
\(401\) 5.35756 1.94999i 0.267544 0.0973780i −0.204765 0.978811i \(-0.565643\pi\)
0.472309 + 0.881433i \(0.343421\pi\)
\(402\) 0.777189 4.40766i 0.0387627 0.219834i
\(403\) 0.905544 0.759842i 0.0451084 0.0378504i
\(404\) 4.36231 + 3.66041i 0.217033 + 0.182112i
\(405\) −0.673648 3.82045i −0.0334738 0.189840i
\(406\) 5.19846 + 9.00400i 0.257995 + 0.446861i
\(407\) 1.79679 3.11213i 0.0890635 0.154263i
\(408\) 5.19846 + 1.89209i 0.257362 + 0.0936722i
\(409\) 0.758770 + 0.276170i 0.0375188 + 0.0136557i 0.360711 0.932677i \(-0.382534\pi\)
−0.323193 + 0.946333i \(0.604756\pi\)
\(410\) 3.09627 5.36289i 0.152914 0.264854i
\(411\) 0.00980018 + 0.0169744i 0.000483407 + 0.000837286i
\(412\) −0.0543776 0.308391i −0.00267899 0.0151933i
\(413\) −10.7306 9.00400i −0.528016 0.443058i
\(414\) −6.85117 + 5.74881i −0.336716 + 0.282539i
\(415\) −8.40760 + 47.6819i −0.412713 + 2.34061i
\(416\) −0.460637 + 0.167658i −0.0225846 + 0.00822012i
\(417\) 4.49525 0.220133
\(418\) 5.99360 + 7.03703i 0.293157 + 0.344193i
\(419\) −19.1215 −0.934149 −0.467074 0.884218i \(-0.654692\pi\)
−0.467074 + 0.884218i \(0.654692\pi\)
\(420\) 4.47178 1.62760i 0.218201 0.0794185i
\(421\) −4.86618 + 27.5975i −0.237163 + 1.34502i 0.600847 + 0.799364i \(0.294830\pi\)
−0.838010 + 0.545655i \(0.816281\pi\)
\(422\) −1.12449 + 0.943555i −0.0547391 + 0.0459315i
\(423\) 1.66250 + 1.39501i 0.0808337 + 0.0678275i
\(424\) 1.54323 + 8.75211i 0.0749460 + 0.425040i
\(425\) 27.7977 + 48.1471i 1.34839 + 2.33548i
\(426\) −1.31908 + 2.28471i −0.0639095 + 0.110695i
\(427\) −0.0482857 0.0175745i −0.00233671 0.000850492i
\(428\) 15.8131 + 5.75552i 0.764357 + 0.278203i
\(429\) 0.519762 0.900255i 0.0250944 0.0434647i
\(430\) −12.8760 22.3019i −0.620935 1.07549i
\(431\) −1.56923 8.89955i −0.0755872 0.428676i −0.998994 0.0448525i \(-0.985718\pi\)
0.923406 0.383824i \(-0.125393\pi\)
\(432\) 0.766044 + 0.642788i 0.0368563 + 0.0309261i
\(433\) 1.12061 0.940307i 0.0538533 0.0451883i −0.615464 0.788165i \(-0.711031\pi\)
0.669317 + 0.742977i \(0.266587\pi\)
\(434\) 0.513671 2.91317i 0.0246570 0.139837i
\(435\) −30.8974 + 11.2457i −1.48142 + 0.539192i
\(436\) −10.4115 −0.498619
\(437\) 0.286989 + 38.9830i 0.0137285 + 1.86481i
\(438\) −15.3628 −0.734062
\(439\) 5.08987 1.85256i 0.242926 0.0884179i −0.217688 0.976018i \(-0.569851\pi\)
0.460614 + 0.887601i \(0.347629\pi\)
\(440\) 1.42855 8.10170i 0.0681034 0.386233i
\(441\) −4.20961 + 3.53228i −0.200457 + 0.168204i
\(442\) −2.07738 1.74313i −0.0988110 0.0829122i
\(443\) −4.94310 28.0337i −0.234854 1.33192i −0.842922 0.538036i \(-0.819166\pi\)
0.608068 0.793885i \(-0.291945\pi\)
\(444\) −0.847296 1.46756i −0.0402109 0.0696473i
\(445\) 16.4021 28.4093i 0.777536 1.34673i
\(446\) −24.6844 8.98438i −1.16884 0.425423i
\(447\) −11.3045 4.11451i −0.534686 0.194610i
\(448\) −0.613341 + 1.06234i −0.0289776 + 0.0501907i
\(449\) 11.3824 + 19.7149i 0.537168 + 0.930402i 0.999055 + 0.0434631i \(0.0138391\pi\)
−0.461887 + 0.886939i \(0.652828\pi\)
\(450\) 1.74510 + 9.89695i 0.0822648 + 0.466547i
\(451\) −2.59311 2.17588i −0.122105 0.102458i
\(452\) −13.3157 + 11.1732i −0.626317 + 0.525542i
\(453\) 0.0102670 0.0582271i 0.000482386 0.00273575i
\(454\) −17.2601 + 6.28217i −0.810057 + 0.294837i
\(455\) −2.33275 −0.109361
\(456\) 4.28699 0.788496i 0.200757 0.0369247i
\(457\) −1.13011 −0.0528643 −0.0264322 0.999651i \(-0.508415\pi\)
−0.0264322 + 0.999651i \(0.508415\pi\)
\(458\) −3.63816 + 1.32418i −0.170000 + 0.0618749i
\(459\) −0.960637 + 5.44804i −0.0448387 + 0.254293i
\(460\) 26.5783 22.3019i 1.23922 1.03983i
\(461\) −9.94562 8.34537i −0.463214 0.388683i 0.381098 0.924535i \(-0.375546\pi\)
−0.844312 + 0.535852i \(0.819990\pi\)
\(462\) −0.451714 2.56180i −0.0210157 0.119186i
\(463\) 15.3123 + 26.5216i 0.711622 + 1.23256i 0.964248 + 0.265001i \(0.0853722\pi\)
−0.252627 + 0.967564i \(0.581294\pi\)
\(464\) 4.23783 7.34013i 0.196736 0.340757i
\(465\) 8.79086 + 3.19961i 0.407666 + 0.148378i
\(466\) −15.4547 5.62505i −0.715925 0.260576i
\(467\) −5.52869 + 9.57596i −0.255837 + 0.443123i −0.965123 0.261799i \(-0.915684\pi\)
0.709285 + 0.704921i \(0.249018\pi\)
\(468\) −0.245100 0.424525i −0.0113297 0.0196237i
\(469\) 0.953363 + 5.40679i 0.0440222 + 0.249662i
\(470\) −6.44949 5.41177i −0.297493 0.249626i
\(471\) 9.92649 8.32931i 0.457388 0.383794i
\(472\) −1.98293 + 11.2457i −0.0912716 + 0.517627i
\(473\) −13.2280 + 4.81461i −0.608225 + 0.221376i
\(474\) −4.66044 −0.214061
\(475\) 38.0967 + 21.6228i 1.74800 + 0.992122i
\(476\) −6.78611 −0.311041
\(477\) −8.35117 + 3.03958i −0.382374 + 0.139173i
\(478\) 0.573978 3.25519i 0.0262531 0.148889i
\(479\) −13.5116 + 11.3376i −0.617361 + 0.518028i −0.896973 0.442086i \(-0.854239\pi\)
0.279612 + 0.960113i \(0.409794\pi\)
\(480\) −2.97178 2.49362i −0.135643 0.113818i
\(481\) 0.144248 + 0.818069i 0.00657713 + 0.0373007i
\(482\) −1.50774 2.61148i −0.0686757 0.118950i
\(483\) 5.48545 9.50108i 0.249597 0.432314i
\(484\) 6.11081 + 2.22415i 0.277764 + 0.101098i
\(485\) −52.4115 19.0762i −2.37989 0.866207i
\(486\) −0.500000 + 0.866025i −0.0226805 + 0.0392837i
\(487\) 7.64677 + 13.2446i 0.346508 + 0.600170i 0.985627 0.168938i \(-0.0540339\pi\)
−0.639118 + 0.769109i \(0.720701\pi\)
\(488\) 0.00727396 + 0.0412527i 0.000329277 + 0.00186742i
\(489\) 11.5458 + 9.68804i 0.522117 + 0.438108i
\(490\) 16.3307 13.7031i 0.737745 0.619042i
\(491\) −0.308811 + 1.75135i −0.0139364 + 0.0790375i −0.990983 0.133990i \(-0.957221\pi\)
0.977046 + 0.213027i \(0.0683322\pi\)
\(492\) −1.50000 + 0.545955i −0.0676252 + 0.0246136i
\(493\) 46.8881 2.11173
\(494\) −2.10694 0.355538i −0.0947959 0.0159964i
\(495\) 8.22668 0.369762
\(496\) −2.26604 + 0.824773i −0.101748 + 0.0370334i
\(497\) 0.561956 3.18701i 0.0252072 0.142957i
\(498\) 9.56077 8.02244i 0.428429 0.359494i
\(499\) −0.0825961 0.0693063i −0.00369751 0.00310258i 0.640937 0.767594i \(-0.278546\pi\)
−0.644634 + 0.764491i \(0.722990\pi\)
\(500\) −3.40167 19.2919i −0.152127 0.862758i
\(501\) 0.970437 + 1.68085i 0.0433559 + 0.0750947i
\(502\) 1.76739 3.06121i 0.0788824 0.136628i
\(503\) 22.2615 + 8.10251i 0.992589 + 0.361273i 0.786722 0.617307i \(-0.211776\pi\)
0.205867 + 0.978580i \(0.433999\pi\)
\(504\) −1.15270 0.419550i −0.0513455 0.0186882i
\(505\) 11.0458 19.1318i 0.491530 0.851355i
\(506\) −9.48293 16.4249i −0.421567 0.730176i
\(507\) −2.21570 12.5659i −0.0984027 0.558069i
\(508\) −1.24897 1.04801i −0.0554141 0.0464979i
\(509\) −2.73783 + 2.29731i −0.121352 + 0.101826i −0.701444 0.712724i \(-0.747461\pi\)
0.580092 + 0.814551i \(0.303017\pi\)
\(510\) 3.72668 21.1351i 0.165020 0.935876i
\(511\) 17.7087 6.44545i 0.783388 0.285130i
\(512\) 1.00000 0.0441942
\(513\) 1.52094 + 4.08494i 0.0671513 + 0.180354i
\(514\) −4.70233 −0.207411
\(515\) −1.14156 + 0.415494i −0.0503031 + 0.0183088i
\(516\) −1.15270 + 6.53731i −0.0507449 + 0.287789i
\(517\) −3.52553 + 2.95827i −0.155053 + 0.130105i
\(518\) 1.59240 + 1.33618i 0.0699659 + 0.0587083i
\(519\) 2.79086 + 15.8278i 0.122505 + 0.694761i
\(520\) 0.950837 + 1.64690i 0.0416970 + 0.0722213i
\(521\) −17.0608 + 29.5501i −0.747446 + 1.29461i 0.201597 + 0.979469i \(0.435387\pi\)
−0.949043 + 0.315146i \(0.897946\pi\)
\(522\) 7.96451 + 2.89884i 0.348597 + 0.126879i
\(523\) −16.0376 5.83721i −0.701276 0.255243i −0.0333202 0.999445i \(-0.510608\pi\)
−0.667955 + 0.744201i \(0.732830\pi\)
\(524\) −2.98158 + 5.16425i −0.130251 + 0.225601i
\(525\) −6.16385 10.6761i −0.269012 0.465943i
\(526\) 3.65745 + 20.7424i 0.159472 + 0.904413i
\(527\) −10.2194 8.57510i −0.445164 0.373537i
\(528\) −1.62449 + 1.36310i −0.0706966 + 0.0593215i
\(529\) 9.89574 56.1216i 0.430250 2.44007i
\(530\) 32.3974 11.7917i 1.40725 0.512198i
\(531\) −11.4192 −0.495552
\(532\) −4.61081 + 2.70751i −0.199904 + 0.117385i
\(533\) 0.782490 0.0338934
\(534\) −7.94609 + 2.89214i −0.343861 + 0.125155i
\(535\) 11.3362 64.2905i 0.490105 2.77952i
\(536\) 3.42855 2.87689i 0.148091 0.124263i
\(537\) 11.3177 + 9.49671i 0.488396 + 0.409813i
\(538\) 1.75015 + 9.92561i 0.0754544 + 0.427923i
\(539\) −5.82666 10.0921i −0.250972 0.434696i
\(540\) 1.93969 3.35965i 0.0834711 0.144576i
\(541\) −24.7841 9.02066i −1.06555 0.387828i −0.251039 0.967977i \(-0.580772\pi\)
−0.814511 + 0.580149i \(0.802994\pi\)
\(542\) 9.17499 + 3.33942i 0.394100 + 0.143441i
\(543\) 9.11334 15.7848i 0.391091 0.677389i
\(544\) 2.76604 + 4.79093i 0.118593 + 0.205409i
\(545\) 7.01367 + 39.7765i 0.300433 + 1.70384i
\(546\) 0.460637 + 0.386520i 0.0197135 + 0.0165415i
\(547\) −26.7317 + 22.4306i −1.14297 + 0.959063i −0.999532 0.0305971i \(-0.990259\pi\)
−0.143435 + 0.989660i \(0.545815\pi\)
\(548\) −0.00340357 + 0.0193026i −0.000145393 + 0.000824566i
\(549\) −0.0393628 + 0.0143269i −0.00167997 + 0.000611457i
\(550\) −21.3114 −0.908721
\(551\) 31.8580 18.7073i 1.35720 0.796957i
\(552\) −8.94356 −0.380663
\(553\) 5.37211 1.95529i 0.228445 0.0831473i
\(554\) 2.92720 16.6010i 0.124365 0.705309i
\(555\) −5.03596 + 4.22567i −0.213765 + 0.179370i
\(556\) 3.44356 + 2.88949i 0.146040 + 0.122542i
\(557\) −5.65957 32.0970i −0.239804 1.35999i −0.832258 0.554389i \(-0.812952\pi\)
0.592454 0.805604i \(-0.298159\pi\)
\(558\) −1.20574 2.08840i −0.0510429 0.0884089i
\(559\) 1.62701 2.81807i 0.0688152 0.119192i
\(560\) 4.47178 + 1.62760i 0.188967 + 0.0687785i
\(561\) −11.0239 4.01239i −0.465431 0.169403i
\(562\) 5.86231 10.1538i 0.247287 0.428313i
\(563\) 2.39780 + 4.15312i 0.101055 + 0.175033i 0.912120 0.409924i \(-0.134445\pi\)
−0.811064 + 0.584957i \(0.801111\pi\)
\(564\) 0.376859 + 2.13727i 0.0158686 + 0.0899955i
\(565\) 51.6566 + 43.3451i 2.17321 + 1.82354i
\(566\) −16.5043 + 13.8488i −0.693729 + 0.582108i
\(567\) 0.213011 1.20805i 0.00894562 0.0507331i
\(568\) −2.47906 + 0.902302i −0.104019 + 0.0378598i
\(569\) −32.7006 −1.37088 −0.685440 0.728129i \(-0.740390\pi\)
−0.685440 + 0.728129i \(0.740390\pi\)
\(570\) −5.90033 15.8471i −0.247138 0.663760i
\(571\) −10.9531 −0.458371 −0.229186 0.973383i \(-0.573606\pi\)
−0.229186 + 0.973383i \(0.573606\pi\)
\(572\) 0.976834 0.355538i 0.0408435 0.0148658i
\(573\) 0.224155 1.27125i 0.00936423 0.0531072i
\(574\) 1.50000 1.25865i 0.0626088 0.0525350i
\(575\) −68.8517 57.7734i −2.87131 2.40932i
\(576\) 0.173648 + 0.984808i 0.00723534 + 0.0410337i
\(577\) 9.15136 + 15.8506i 0.380976 + 0.659870i 0.991202 0.132357i \(-0.0422547\pi\)
−0.610226 + 0.792227i \(0.708921\pi\)
\(578\) −6.80200 + 11.7814i −0.282926 + 0.490042i
\(579\) 8.57057 + 3.11943i 0.356181 + 0.129639i
\(580\) −30.8974 11.2457i −1.28294 0.466954i
\(581\) −7.65493 + 13.2587i −0.317580 + 0.550064i
\(582\) 7.18866 + 12.4511i 0.297980 + 0.516116i
\(583\) −3.27260 18.5599i −0.135537 0.768671i
\(584\) −11.7686 9.87500i −0.486987 0.408631i
\(585\) −1.45677 + 1.22237i −0.0602299 + 0.0505389i
\(586\) −1.93107 + 10.9517i −0.0797720 + 0.452409i
\(587\) 5.34137 1.94410i 0.220462 0.0802415i −0.229428 0.973326i \(-0.573686\pi\)
0.449890 + 0.893084i \(0.351463\pi\)
\(588\) −5.49525 −0.226620
\(589\) −10.3648 1.74903i −0.427076 0.0720673i
\(590\) 44.2995 1.82378
\(591\) −17.5005 + 6.36965i −0.719873 + 0.262012i
\(592\) 0.294263 1.66885i 0.0120941 0.0685892i
\(593\) −8.05097 + 6.75557i −0.330614 + 0.277418i −0.792950 0.609287i \(-0.791456\pi\)
0.462336 + 0.886705i \(0.347011\pi\)
\(594\) −1.62449 1.36310i −0.0666534 0.0559289i
\(595\) 4.57145 + 25.9260i 0.187411 + 1.06286i
\(596\) −6.01501 10.4183i −0.246385 0.426751i
\(597\) −4.21554 + 7.30152i −0.172530 + 0.298832i
\(598\) 4.11974 + 1.49946i 0.168469 + 0.0613176i
\(599\) 42.0146 + 15.2921i 1.71667 + 0.624817i 0.997543 0.0700613i \(-0.0223195\pi\)
0.719128 + 0.694878i \(0.244542\pi\)
\(600\) −5.02481 + 8.70323i −0.205137 + 0.355308i
\(601\) −16.4363 28.4685i −0.670450 1.16125i −0.977777 0.209650i \(-0.932768\pi\)
0.307326 0.951604i \(-0.400566\pi\)
\(602\) −1.41400 8.01919i −0.0576304 0.326838i
\(603\) 3.42855 + 2.87689i 0.139621 + 0.117156i
\(604\) 0.0452926 0.0380050i 0.00184293 0.00154640i
\(605\) 4.38073 24.8444i 0.178102 1.01007i
\(606\) −5.35117 + 1.94767i −0.217376 + 0.0791185i
\(607\) 29.9486 1.21558 0.607788 0.794099i \(-0.292057\pi\)
0.607788 + 0.794099i \(0.292057\pi\)
\(608\) 3.79086 + 2.15160i 0.153740 + 0.0872589i
\(609\) −10.3969 −0.421305
\(610\) 0.152704 0.0555796i 0.00618279 0.00225035i
\(611\) 0.184736 1.04769i 0.00747363 0.0423850i
\(612\) −4.23783 + 3.55596i −0.171304 + 0.143741i
\(613\) 4.47384 + 3.75400i 0.180697 + 0.151623i 0.728650 0.684887i \(-0.240148\pi\)
−0.547953 + 0.836509i \(0.684593\pi\)
\(614\) 4.34817 + 24.6597i 0.175478 + 0.995185i
\(615\) 3.09627 + 5.36289i 0.124854 + 0.216253i
\(616\) 1.30066 2.25281i 0.0524051 0.0907682i
\(617\) 11.8135 + 4.29975i 0.475592 + 0.173101i 0.568684 0.822556i \(-0.307453\pi\)
−0.0930920 + 0.995658i \(0.529675\pi\)
\(618\) 0.294263 + 0.107103i 0.0118370 + 0.00430831i
\(619\) −4.14290 + 7.17572i −0.166517 + 0.288417i −0.937193 0.348811i \(-0.886586\pi\)
0.770676 + 0.637228i \(0.219919\pi\)
\(620\) 4.67752 + 8.10170i 0.187854 + 0.325372i
\(621\) −1.55303 8.80769i −0.0623211 0.353440i
\(622\) 0.0432332 + 0.0362770i 0.00173349 + 0.00145457i
\(623\) 7.94609 6.66756i 0.318353 0.267130i
\(624\) 0.0851223 0.482753i 0.00340762 0.0193256i
\(625\) −24.1942 + 8.80596i −0.967767 + 0.352238i
\(626\) 13.7638 0.550113
\(627\) −9.09105 + 1.67210i −0.363062 + 0.0667771i
\(628\) 12.9581 0.517085
\(629\) 8.80928 3.20631i 0.351249 0.127844i
\(630\) −0.826352 + 4.68647i −0.0329226 + 0.186714i
\(631\) 5.23055 4.38895i 0.208225 0.174722i −0.532711 0.846297i \(-0.678827\pi\)
0.740936 + 0.671576i \(0.234382\pi\)
\(632\) −3.57011 2.99568i −0.142011 0.119162i
\(633\) −0.254900 1.44561i −0.0101314 0.0574578i
\(634\) −5.45202 9.44317i −0.216527 0.375036i
\(635\) −3.16250 + 5.47762i −0.125500 + 0.217373i
\(636\) −8.35117 3.03958i −0.331145 0.120527i
\(637\) 2.53132 + 0.921324i 0.100294 + 0.0365042i
\(638\) −8.98680 + 15.5656i −0.355791 + 0.616248i
\(639\) −1.31908 2.28471i −0.0521819 0.0903817i
\(640\) −0.673648 3.82045i −0.0266283 0.151016i
\(641\) 29.6544 + 24.8830i 1.17128 + 0.982818i 0.999997 0.00240481i \(-0.000765477\pi\)
0.171279 + 0.985222i \(0.445210\pi\)
\(642\) −12.8910 + 10.8168i −0.508767 + 0.426906i
\(643\) −2.18820 + 12.4099i −0.0862940 + 0.489398i 0.910776 + 0.412901i \(0.135485\pi\)
−0.997070 + 0.0764965i \(0.975627\pi\)
\(644\) 10.3093 3.75227i 0.406242 0.147860i
\(645\) 25.7520 1.01398
\(646\) 0.177519 + 24.1132i 0.00698437 + 0.948720i
\(647\) 8.41241 0.330726 0.165363 0.986233i \(-0.447120\pi\)
0.165363 + 0.986233i \(0.447120\pi\)
\(648\) −0.939693 + 0.342020i −0.0369146 + 0.0134358i
\(649\) 4.20502 23.8479i 0.165062 0.936111i
\(650\) 3.77379 3.16658i 0.148020 0.124204i
\(651\) 2.26604 + 1.90144i 0.0888133 + 0.0745232i
\(652\) 2.61721 + 14.8429i 0.102498 + 0.581294i
\(653\) −13.1900 22.8458i −0.516165 0.894024i −0.999824 0.0187673i \(-0.994026\pi\)
0.483659 0.875257i \(-0.339307\pi\)
\(654\) 5.20574 9.01660i 0.203560 0.352577i
\(655\) 21.7383 + 7.91209i 0.849385 + 0.309151i
\(656\) −1.50000 0.545955i −0.0585652 0.0213160i
\(657\) 7.68139 13.3046i 0.299680 0.519060i
\(658\) −1.33110 2.30553i −0.0518917 0.0898790i
\(659\) 5.55794 + 31.5207i 0.216507 + 1.22787i 0.878273 + 0.478160i \(0.158696\pi\)
−0.661766 + 0.749711i \(0.730193\pi\)
\(660\) 6.30200 + 5.28801i 0.245305 + 0.205835i
\(661\) −31.0462 + 26.0509i −1.20756 + 1.01326i −0.208177 + 0.978091i \(0.566753\pi\)
−0.999381 + 0.0351705i \(0.988803\pi\)
\(662\) 1.49185 8.46069i 0.0579823 0.328834i
\(663\) 2.54829 0.927500i 0.0989672 0.0360211i
\(664\) 12.4807 0.484345
\(665\) 13.4500 + 15.7915i 0.521567 + 0.612367i
\(666\) 1.69459 0.0656641
\(667\) −71.2311 + 25.9260i −2.75808 + 1.00386i
\(668\) −0.337029 + 1.91139i −0.0130401 + 0.0739538i
\(669\) 20.1229 16.8851i 0.777996 0.652816i
\(670\) −13.3007 11.1606i −0.513849 0.431171i
\(671\) −0.0154253 0.0874810i −0.000595486 0.00337717i
\(672\) −0.613341 1.06234i −0.0236601 0.0409806i
\(673\) 2.28059 3.95010i 0.0879104 0.152265i −0.818717 0.574197i \(-0.805314\pi\)
0.906628 + 0.421932i \(0.138648\pi\)
\(674\) 2.17112 + 0.790224i 0.0836285 + 0.0304383i
\(675\) −9.44356 3.43718i −0.363483 0.132297i
\(676\) 6.37985 11.0502i 0.245379 0.425009i
\(677\) −16.7208 28.9612i −0.642631 1.11307i −0.984843 0.173446i \(-0.944510\pi\)
0.342213 0.939623i \(-0.388824\pi\)
\(678\) −3.01842 17.1183i −0.115922 0.657424i
\(679\) −13.5103 11.3365i −0.518476 0.435053i
\(680\) 16.4402 13.7949i 0.630451 0.529011i
\(681\) 3.18954 18.0888i 0.122223 0.693164i
\(682\) 4.80541 1.74903i 0.184009 0.0669736i
\(683\) −26.4825 −1.01332 −0.506662 0.862145i \(-0.669121\pi\)
−0.506662 + 0.862145i \(0.669121\pi\)
\(684\) −1.46064 + 4.10689i −0.0558489 + 0.157031i
\(685\) 0.0760373 0.00290524
\(686\) 14.4033 5.24238i 0.549921 0.200155i
\(687\) 0.672304 3.81283i 0.0256500 0.145468i
\(688\) −5.08512 + 4.26692i −0.193868 + 0.162675i
\(689\) 3.33725 + 2.80028i 0.127139 + 0.106682i
\(690\) 6.02481 + 34.1684i 0.229361 + 1.30077i
\(691\) −16.7003 28.9257i −0.635308 1.10039i −0.986450 0.164064i \(-0.947540\pi\)
0.351141 0.936322i \(-0.385794\pi\)
\(692\) −8.03596 + 13.9187i −0.305481 + 0.529109i
\(693\) 2.44444 + 0.889704i 0.0928566 + 0.0337970i
\(694\) 3.08765 + 1.12381i 0.117206 + 0.0426593i
\(695\) 8.71941 15.1025i 0.330746 0.572869i
\(696\) 4.23783 + 7.34013i 0.160634 + 0.278227i
\(697\) −1.53343 8.69653i −0.0580829 0.329405i
\(698\) 22.4820 + 18.8647i 0.850958 + 0.714039i
\(699\) 12.5988 10.5716i 0.476530 0.399856i
\(700\) 2.14068 12.1404i 0.0809102 0.458864i
\(701\) −17.7408 + 6.45713i −0.670061 + 0.243882i −0.654574 0.755998i \(-0.727152\pi\)
−0.0154871 + 0.999880i \(0.504930\pi\)
\(702\) 0.490200 0.0185014
\(703\) 4.70620 5.69323i 0.177498 0.214724i
\(704\) −2.12061 −0.0799237
\(705\) 7.91147 2.87954i 0.297963 0.108450i
\(706\) −1.34389 + 7.62159i −0.0505781 + 0.286843i
\(707\) 5.35117 4.49016i 0.201251 0.168870i
\(708\) −8.74763 7.34013i −0.328756 0.275859i
\(709\) −0.0369988 0.209830i −0.00138952 0.00788034i 0.984105 0.177587i \(-0.0568291\pi\)
−0.985495 + 0.169707i \(0.945718\pi\)
\(710\) 5.11721 + 8.86327i 0.192046 + 0.332633i
\(711\) 2.33022 4.03606i 0.0873902 0.151364i
\(712\) −7.94609 2.89214i −0.297792 0.108388i
\(713\) 20.2665 + 7.37641i 0.758987 + 0.276249i
\(714\) 3.39306 5.87695i 0.126982 0.219939i
\(715\) −2.01636 3.49244i −0.0754075 0.130610i
\(716\) 2.56552 + 14.5498i 0.0958781 + 0.543751i
\(717\) 2.53209 + 2.12467i 0.0945626 + 0.0793474i
\(718\) 2.19665 1.84321i 0.0819783 0.0687880i
\(719\) −2.25150 + 12.7689i −0.0839667 + 0.476199i 0.913608 + 0.406596i \(0.133284\pi\)
−0.997575 + 0.0696027i \(0.977827\pi\)
\(720\) 3.64543 1.32683i 0.135857 0.0494480i
\(721\) −0.384133 −0.0143059
\(722\) 9.74123 + 16.3128i 0.362531 + 0.607101i
\(723\) 3.01548 0.112147
\(724\) 17.1275 6.23389i 0.636538 0.231681i
\(725\) −14.7909 + 83.8831i −0.549319 + 3.11534i
\(726\) −4.98158 + 4.18004i −0.184884 + 0.155136i
\(727\) 19.7062 + 16.5355i 0.730863 + 0.613267i 0.930367 0.366630i \(-0.119489\pi\)
−0.199504 + 0.979897i \(0.563933\pi\)
\(728\) 0.104418 + 0.592184i 0.00386999 + 0.0219478i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) −29.7991 + 51.6135i −1.10291 + 1.91030i
\(731\) −34.5082 12.5600i −1.27633 0.464547i
\(732\) −0.0393628 0.0143269i −0.00145489 0.000529538i
\(733\) −4.25995 + 7.37845i −0.157345 + 0.272529i −0.933910 0.357507i \(-0.883627\pi\)
0.776565 + 0.630037i \(0.216960\pi\)
\(734\) 11.4829 + 19.8890i 0.423843 + 0.734117i
\(735\) 3.70187 + 20.9943i 0.136545 + 0.774387i
\(736\) −6.85117 5.74881i −0.252537 0.211904i
\(737\) −7.27063 + 6.10078i −0.267817 + 0.224725i
\(738\) 0.277189 1.57202i 0.0102035 0.0578667i
\(739\) 12.5030 4.55072i 0.459930 0.167401i −0.101655 0.994820i \(-0.532414\pi\)
0.561585 + 0.827419i \(0.310192\pi\)
\(740\) −6.57398 −0.241664
\(741\) 1.36138 1.64690i 0.0500115 0.0605003i
\(742\) 10.9017 0.400213
\(743\) 25.3307 9.21962i 0.929293 0.338235i 0.167364 0.985895i \(-0.446475\pi\)
0.761929 + 0.647660i \(0.224252\pi\)
\(744\) 0.418748 2.37484i 0.0153520 0.0870658i
\(745\) −35.7506 + 29.9983i −1.30980 + 1.09905i
\(746\) −17.7652 14.9067i −0.650429 0.545775i
\(747\) 2.16725 + 12.2911i 0.0792956 + 0.449708i
\(748\) −5.86571 10.1597i −0.214472 0.371476i
\(749\) 10.3213 17.8770i 0.377132 0.653212i
\(750\) 18.4081 + 6.69999i 0.672168 + 0.244649i
\(751\) −17.3277 6.30677i −0.632297 0.230137i 0.00593399 0.999982i \(-0.498111\pi\)
−0.638231 + 0.769845i \(0.720333\pi\)
\(752\) −1.08512 + 1.87949i −0.0395703 + 0.0685378i
\(753\) 1.76739 + 3.06121i 0.0644072 + 0.111557i
\(754\) −0.721467 4.09164i −0.0262743 0.149009i
\(755\) −0.175708 0.147436i −0.00639465 0.00536575i
\(756\) 0.939693 0.788496i 0.0341763 0.0286773i
\(757\) 5.19490 29.4617i 0.188812 1.07080i −0.732148 0.681146i \(-0.761482\pi\)
0.920959 0.389659i \(-0.127407\pi\)
\(758\) 31.4971 11.4640i 1.14402 0.416391i
\(759\) 18.9659 0.688417
\(760\) 5.66637 15.9322i 0.205541 0.577922i
\(761\) −28.6691 −1.03925 −0.519627 0.854393i \(-0.673929\pi\)
−0.519627 + 0.854393i \(0.673929\pi\)
\(762\) 1.53209 0.557635i 0.0555017 0.0202010i
\(763\) −2.21776 + 12.5775i −0.0802883 + 0.455337i
\(764\) 0.988856 0.829748i 0.0357755 0.0300192i
\(765\) 16.4402 + 13.7949i 0.594395 + 0.498757i
\(766\) 1.16860 + 6.62744i 0.0422231 + 0.239459i
\(767\) 2.79885 + 4.84775i 0.101061 + 0.175042i
\(768\) −0.500000 + 0.866025i −0.0180422 + 0.0312500i
\(769\) 9.17277 + 3.33862i 0.330779 + 0.120394i 0.502070 0.864827i \(-0.332572\pi\)
−0.171292 + 0.985220i \(0.554794\pi\)
\(770\) −9.48293 3.45150i −0.341741 0.124384i
\(771\) 2.35117 4.07234i 0.0846752 0.146662i
\(772\) 4.56031 + 7.89868i 0.164129 + 0.284280i