Properties

Label 190.2.k.d.101.3
Level $190$
Weight $2$
Character 190.101
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.k (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + 132588 x^{4} + 45584 x^{3} + 50640 x^{2} + 1824 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 101.3
Root \(1.18566 + 2.05362i\) of defining polynomial
Character \(\chi\) \(=\) 190.101
Dual form 190.2.k.d.111.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(2.22831 + 0.811037i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.173648 + 0.984808i) q^{5} +(-2.22831 + 0.811037i) q^{6} +(-1.57771 + 2.73267i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.00943 + 1.68611i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(2.22831 + 0.811037i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.173648 + 0.984808i) q^{5} +(-2.22831 + 0.811037i) q^{6} +(-1.57771 + 2.73267i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.00943 + 1.68611i) q^{9} +(-0.766044 - 0.642788i) q^{10} +(-0.688886 - 1.19319i) q^{11} +(1.18566 - 2.05362i) q^{12} +(4.06437 - 1.47931i) q^{13} +(-0.547933 - 3.10748i) q^{14} +(-0.411774 + 2.33529i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-0.993253 + 0.833438i) q^{17} -2.62313 q^{18} +(1.08907 - 4.22066i) q^{19} +1.00000 q^{20} +(-5.73192 + 4.80965i) q^{21} +(1.29468 + 0.471226i) q^{22} +(-0.369001 + 2.09271i) q^{23} +(0.411774 + 2.33529i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(-2.16260 + 3.74574i) q^{26} +(-0.446842 - 0.773953i) q^{27} +(2.41719 + 2.02826i) q^{28} +(-0.0998515 - 0.0837854i) q^{29} +(-1.18566 - 2.05362i) q^{30} +(-0.173355 + 0.300259i) q^{31} +(0.939693 - 0.342020i) q^{32} +(-0.567331 - 3.21749i) q^{33} +(0.225152 - 1.27690i) q^{34} +(-2.96512 - 1.07922i) q^{35} +(2.00943 - 1.68611i) q^{36} +10.3150 q^{37} +(1.87871 + 3.93325i) q^{38} +10.2564 q^{39} +(-0.766044 + 0.642788i) q^{40} +(-10.3451 - 3.76531i) q^{41} +(1.29932 - 7.36881i) q^{42} +(-2.00132 - 11.3501i) q^{43} +(-1.29468 + 0.471226i) q^{44} +(-1.31156 + 2.27169i) q^{45} +(-1.06250 - 1.84030i) q^{46} +(0.0585581 + 0.0491361i) q^{47} +(-1.81653 - 1.52425i) q^{48} +(-1.47834 - 2.56055i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-2.88922 + 1.05159i) q^{51} +(-0.751065 - 4.25950i) q^{52} +(1.08002 - 6.12511i) q^{53} +(0.839788 + 0.305658i) q^{54} +(1.05543 - 0.885615i) q^{55} -3.15542 q^{56} +(5.84988 - 8.52164i) q^{57} +0.130347 q^{58} +(-6.27104 + 5.26202i) q^{59} +(2.22831 + 0.811037i) q^{60} +(1.36244 - 7.72680i) q^{61} +(-0.0602055 - 0.341442i) q^{62} +(-7.77790 + 2.83092i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(2.16260 + 3.74574i) q^{65} +(2.50277 + 2.10007i) q^{66} +(-0.789546 - 0.662508i) q^{67} +(0.648300 + 1.12289i) q^{68} +(-2.51951 + 4.36392i) q^{69} +(2.96512 - 1.07922i) q^{70} +(2.02349 + 11.4758i) q^{71} +(-0.455501 + 2.58328i) q^{72} +(11.5052 + 4.18756i) q^{73} +(-7.90176 + 6.63036i) q^{74} -2.37131 q^{75} +(-3.96742 - 1.80543i) q^{76} +4.34745 q^{77} +(-7.85688 + 6.59270i) q^{78} +(-13.1650 - 4.79168i) q^{79} +(0.173648 - 0.984808i) q^{80} +(-1.73450 - 9.83684i) q^{81} +(10.3451 - 3.76531i) q^{82} +(-5.68946 + 9.85443i) q^{83} +(3.74124 + 6.48003i) q^{84} +(-0.993253 - 0.833438i) q^{85} +(8.82879 + 7.40823i) q^{86} +(-0.154547 - 0.267683i) q^{87} +(0.688886 - 1.19319i) q^{88} +(17.1195 - 6.23099i) q^{89} +(-0.455501 - 2.58328i) q^{90} +(-2.36992 + 13.4405i) q^{91} +(1.99684 + 0.726790i) q^{92} +(-0.629809 + 0.528473i) q^{93} -0.0764422 q^{94} +(4.34565 + 0.339611i) q^{95} +2.37131 q^{96} +(-12.4265 + 10.4271i) q^{97} +(2.77836 + 1.01124i) q^{98} +(0.627577 - 3.55916i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 9q^{8} - 18q^{9} + O(q^{10}) \) \( 18q + 9q^{8} - 18q^{9} - 12q^{11} - 6q^{13} + 6q^{14} - 42q^{18} + 18q^{20} + 12q^{21} - 3q^{22} + 9q^{23} - 9q^{26} - 18q^{27} + 3q^{28} - 6q^{29} - 6q^{31} + 66q^{33} + 18q^{34} + 3q^{35} - 18q^{36} - 12q^{37} - 6q^{38} + 48q^{39} - 21q^{41} + 42q^{42} + 18q^{43} + 3q^{44} - 21q^{45} + 18q^{46} - 54q^{47} - 39q^{49} + 9q^{50} + 42q^{51} + 12q^{52} - 24q^{53} - 54q^{54} - 6q^{55} - 18q^{57} - 30q^{59} + 48q^{61} - 30q^{62} - 57q^{63} - 9q^{64} + 9q^{65} + 24q^{66} - 6q^{67} - 6q^{68} - 30q^{69} - 3q^{70} + 30q^{71} + 6q^{73} - 3q^{74} - 21q^{76} + 30q^{77} - 24q^{78} + 30q^{79} + 18q^{81} + 21q^{82} + 6q^{83} + 6q^{84} + 36q^{86} + 24q^{87} + 12q^{88} + 30q^{89} - 60q^{91} - 18q^{92} - 12q^{93} + 6q^{94} - 12q^{95} - 12q^{97} - 18q^{98} + 171q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) 2.22831 + 0.811037i 1.28651 + 0.468252i 0.892581 0.450887i \(-0.148892\pi\)
0.393932 + 0.919140i \(0.371115\pi\)
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 0.173648 + 0.984808i 0.0776578 + 0.440419i
\(6\) −2.22831 + 0.811037i −0.909702 + 0.331104i
\(7\) −1.57771 + 2.73267i −0.596318 + 1.03285i 0.397041 + 0.917801i \(0.370037\pi\)
−0.993359 + 0.115053i \(0.963296\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 2.00943 + 1.68611i 0.669811 + 0.562038i
\(10\) −0.766044 0.642788i −0.242245 0.203267i
\(11\) −0.688886 1.19319i −0.207707 0.359759i 0.743285 0.668975i \(-0.233267\pi\)
−0.950992 + 0.309216i \(0.899933\pi\)
\(12\) 1.18566 2.05362i 0.342270 0.592828i
\(13\) 4.06437 1.47931i 1.12725 0.410286i 0.289958 0.957039i \(-0.406359\pi\)
0.837294 + 0.546753i \(0.184136\pi\)
\(14\) −0.547933 3.10748i −0.146441 0.830509i
\(15\) −0.411774 + 2.33529i −0.106320 + 0.602969i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) −0.993253 + 0.833438i −0.240899 + 0.202138i −0.755242 0.655446i \(-0.772480\pi\)
0.514342 + 0.857585i \(0.328036\pi\)
\(18\) −2.62313 −0.618277
\(19\) 1.08907 4.22066i 0.249849 0.968285i
\(20\) 1.00000 0.223607
\(21\) −5.73192 + 4.80965i −1.25081 + 1.04955i
\(22\) 1.29468 + 0.471226i 0.276027 + 0.100466i
\(23\) −0.369001 + 2.09271i −0.0769420 + 0.436360i 0.921864 + 0.387513i \(0.126666\pi\)
−0.998806 + 0.0488468i \(0.984445\pi\)
\(24\) 0.411774 + 2.33529i 0.0840531 + 0.476689i
\(25\) −0.939693 + 0.342020i −0.187939 + 0.0684040i
\(26\) −2.16260 + 3.74574i −0.424122 + 0.734600i
\(27\) −0.446842 0.773953i −0.0859948 0.148947i
\(28\) 2.41719 + 2.02826i 0.456806 + 0.383306i
\(29\) −0.0998515 0.0837854i −0.0185420 0.0155586i 0.633470 0.773768i \(-0.281630\pi\)
−0.652012 + 0.758209i \(0.726075\pi\)
\(30\) −1.18566 2.05362i −0.216470 0.374938i
\(31\) −0.173355 + 0.300259i −0.0311355 + 0.0539282i −0.881173 0.472793i \(-0.843246\pi\)
0.850038 + 0.526722i \(0.176579\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) −0.567331 3.21749i −0.0987596 0.560094i
\(34\) 0.225152 1.27690i 0.0386133 0.218987i
\(35\) −2.96512 1.07922i −0.501198 0.182421i
\(36\) 2.00943 1.68611i 0.334905 0.281019i
\(37\) 10.3150 1.69578 0.847889 0.530174i \(-0.177873\pi\)
0.847889 + 0.530174i \(0.177873\pi\)
\(38\) 1.87871 + 3.93325i 0.304768 + 0.638057i
\(39\) 10.2564 1.64234
\(40\) −0.766044 + 0.642788i −0.121122 + 0.101634i
\(41\) −10.3451 3.76531i −1.61563 0.588042i −0.633089 0.774079i \(-0.718213\pi\)
−0.982543 + 0.186037i \(0.940436\pi\)
\(42\) 1.29932 7.36881i 0.200490 1.13703i
\(43\) −2.00132 11.3501i −0.305199 1.73087i −0.622566 0.782567i \(-0.713910\pi\)
0.317367 0.948303i \(-0.397201\pi\)
\(44\) −1.29468 + 0.471226i −0.195181 + 0.0710400i
\(45\) −1.31156 + 2.27169i −0.195516 + 0.338644i
\(46\) −1.06250 1.84030i −0.156656 0.271337i
\(47\) 0.0585581 + 0.0491361i 0.00854158 + 0.00716723i 0.647048 0.762449i \(-0.276003\pi\)
−0.638507 + 0.769616i \(0.720448\pi\)
\(48\) −1.81653 1.52425i −0.262194 0.220007i
\(49\) −1.47834 2.56055i −0.211191 0.365793i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) −2.88922 + 1.05159i −0.404572 + 0.147252i
\(52\) −0.751065 4.25950i −0.104154 0.590686i
\(53\) 1.08002 6.12511i 0.148352 0.841348i −0.816262 0.577682i \(-0.803957\pi\)
0.964614 0.263666i \(-0.0849316\pi\)
\(54\) 0.839788 + 0.305658i 0.114281 + 0.0415948i
\(55\) 1.05543 0.885615i 0.142315 0.119416i
\(56\) −3.15542 −0.421661
\(57\) 5.84988 8.52164i 0.774835 1.12872i
\(58\) 0.130347 0.0171154
\(59\) −6.27104 + 5.26202i −0.816419 + 0.685057i −0.952131 0.305691i \(-0.901112\pi\)
0.135711 + 0.990748i \(0.456668\pi\)
\(60\) 2.22831 + 0.811037i 0.287673 + 0.104704i
\(61\) 1.36244 7.72680i 0.174443 0.989315i −0.764342 0.644811i \(-0.776936\pi\)
0.938785 0.344504i \(-0.111953\pi\)
\(62\) −0.0602055 0.341442i −0.00764611 0.0433632i
\(63\) −7.77790 + 2.83092i −0.979923 + 0.356663i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 2.16260 + 3.74574i 0.268238 + 0.464602i
\(66\) 2.50277 + 2.10007i 0.308069 + 0.258501i
\(67\) −0.789546 0.662508i −0.0964584 0.0809382i 0.593283 0.804994i \(-0.297831\pi\)
−0.689742 + 0.724056i \(0.742276\pi\)
\(68\) 0.648300 + 1.12289i 0.0786179 + 0.136170i
\(69\) −2.51951 + 4.36392i −0.303313 + 0.525354i
\(70\) 2.96512 1.07922i 0.354400 0.128991i
\(71\) 2.02349 + 11.4758i 0.240144 + 1.36192i 0.831505 + 0.555517i \(0.187480\pi\)
−0.591361 + 0.806407i \(0.701409\pi\)
\(72\) −0.455501 + 2.58328i −0.0536813 + 0.304442i
\(73\) 11.5052 + 4.18756i 1.34659 + 0.490117i 0.911881 0.410456i \(-0.134630\pi\)
0.434705 + 0.900573i \(0.356853\pi\)
\(74\) −7.90176 + 6.63036i −0.918561 + 0.770764i
\(75\) −2.37131 −0.273816
\(76\) −3.96742 1.80543i −0.455094 0.207097i
\(77\) 4.34745 0.495438
\(78\) −7.85688 + 6.59270i −0.889616 + 0.746477i
\(79\) −13.1650 4.79168i −1.48118 0.539106i −0.530070 0.847954i \(-0.677834\pi\)
−0.951111 + 0.308848i \(0.900056\pi\)
\(80\) 0.173648 0.984808i 0.0194145 0.110105i
\(81\) −1.73450 9.83684i −0.192722 1.09298i
\(82\) 10.3451 3.76531i 1.14242 0.415808i
\(83\) −5.68946 + 9.85443i −0.624499 + 1.08166i 0.364138 + 0.931345i \(0.381364\pi\)
−0.988637 + 0.150319i \(0.951970\pi\)
\(84\) 3.74124 + 6.48003i 0.408203 + 0.707029i
\(85\) −0.993253 0.833438i −0.107733 0.0903990i
\(86\) 8.82879 + 7.40823i 0.952033 + 0.798850i
\(87\) −0.154547 0.267683i −0.0165691 0.0286986i
\(88\) 0.688886 1.19319i 0.0734355 0.127194i
\(89\) 17.1195 6.23099i 1.81466 0.660484i 0.818348 0.574723i \(-0.194890\pi\)
0.996316 0.0857608i \(-0.0273321\pi\)
\(90\) −0.455501 2.58328i −0.0480140 0.272301i
\(91\) −2.36992 + 13.4405i −0.248436 + 1.40895i
\(92\) 1.99684 + 0.726790i 0.208185 + 0.0757731i
\(93\) −0.629809 + 0.528473i −0.0653082 + 0.0548000i
\(94\) −0.0764422 −0.00788441
\(95\) 4.34565 + 0.339611i 0.445854 + 0.0348433i
\(96\) 2.37131 0.242021
\(97\) −12.4265 + 10.4271i −1.26172 + 1.05871i −0.266227 + 0.963910i \(0.585777\pi\)
−0.995496 + 0.0948014i \(0.969778\pi\)
\(98\) 2.77836 + 1.01124i 0.280657 + 0.102151i
\(99\) 0.627577 3.55916i 0.0630738 0.357710i
\(100\) 0.173648 + 0.984808i 0.0173648 + 0.0984808i
\(101\) −6.22381 + 2.26528i −0.619293 + 0.225404i −0.632564 0.774508i \(-0.717998\pi\)
0.0132716 + 0.999912i \(0.495775\pi\)
\(102\) 1.53732 2.66272i 0.152218 0.263649i
\(103\) 6.17880 + 10.7020i 0.608815 + 1.05450i 0.991436 + 0.130594i \(0.0416883\pi\)
−0.382621 + 0.923906i \(0.624978\pi\)
\(104\) 3.31330 + 2.78019i 0.324896 + 0.272620i
\(105\) −5.73192 4.80965i −0.559378 0.469374i
\(106\) 3.10980 + 5.38633i 0.302050 + 0.523167i
\(107\) −5.47740 + 9.48714i −0.529521 + 0.917156i 0.469887 + 0.882727i \(0.344295\pi\)
−0.999407 + 0.0344297i \(0.989039\pi\)
\(108\) −0.839788 + 0.305658i −0.0808087 + 0.0294120i
\(109\) 1.29211 + 7.32792i 0.123762 + 0.701887i 0.982036 + 0.188695i \(0.0604259\pi\)
−0.858274 + 0.513192i \(0.828463\pi\)
\(110\) −0.239248 + 1.35684i −0.0228114 + 0.129370i
\(111\) 22.9850 + 8.36586i 2.18164 + 0.794052i
\(112\) 2.41719 2.02826i 0.228403 0.191653i
\(113\) −11.6014 −1.09137 −0.545686 0.837990i \(-0.683731\pi\)
−0.545686 + 0.837990i \(0.683731\pi\)
\(114\) 0.996338 + 10.2882i 0.0933156 + 0.963577i
\(115\) −2.12499 −0.198156
\(116\) −0.0998515 + 0.0837854i −0.00927098 + 0.00777928i
\(117\) 10.6613 + 3.88041i 0.985642 + 0.358744i
\(118\) 1.42153 8.06189i 0.130862 0.742157i
\(119\) −0.710449 4.02916i −0.0651268 0.369352i
\(120\) −2.22831 + 0.811037i −0.203416 + 0.0740372i
\(121\) 4.55087 7.88234i 0.413716 0.716577i
\(122\) 3.92300 + 6.79483i 0.355172 + 0.615175i
\(123\) −19.9982 16.7805i −1.80318 1.51305i
\(124\) 0.265595 + 0.222861i 0.0238511 + 0.0200135i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) 4.13853 7.16815i 0.368690 0.638589i
\(127\) −15.4096 + 5.60862i −1.36738 + 0.497685i −0.918327 0.395822i \(-0.870460\pi\)
−0.449050 + 0.893507i \(0.648237\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) 4.74577 26.9146i 0.417841 2.36970i
\(130\) −4.06437 1.47931i −0.356469 0.129744i
\(131\) 8.53118 7.15851i 0.745373 0.625442i −0.188902 0.981996i \(-0.560493\pi\)
0.934275 + 0.356554i \(0.116048\pi\)
\(132\) −3.26713 −0.284367
\(133\) 9.81545 + 9.63503i 0.851107 + 0.835463i
\(134\) 1.03068 0.0890371
\(135\) 0.684602 0.574449i 0.0589211 0.0494407i
\(136\) −1.21840 0.443463i −0.104477 0.0380266i
\(137\) 1.27486 7.23011i 0.108919 0.617710i −0.880663 0.473743i \(-0.842903\pi\)
0.989582 0.143968i \(-0.0459862\pi\)
\(138\) −0.875017 4.96247i −0.0744864 0.422433i
\(139\) −11.0992 + 4.03978i −0.941422 + 0.342650i −0.766727 0.641973i \(-0.778116\pi\)
−0.174695 + 0.984623i \(0.555894\pi\)
\(140\) −1.57771 + 2.73267i −0.133341 + 0.230953i
\(141\) 0.0906342 + 0.156983i 0.00763277 + 0.0132203i
\(142\) −8.92657 7.49028i −0.749101 0.628570i
\(143\) −4.56497 3.83047i −0.381742 0.320320i
\(144\) −1.31156 2.27169i −0.109297 0.189308i
\(145\) 0.0651735 0.112884i 0.00541236 0.00937448i
\(146\) −11.5052 + 4.18756i −0.952180 + 0.346565i
\(147\) −1.21748 6.90468i −0.100416 0.569488i
\(148\) 1.79118 10.1583i 0.147234 0.835007i
\(149\) −3.30256 1.20203i −0.270556 0.0984745i 0.203179 0.979142i \(-0.434873\pi\)
−0.473736 + 0.880667i \(0.657095\pi\)
\(150\) 1.81653 1.52425i 0.148319 0.124455i
\(151\) −0.212620 −0.0173028 −0.00865139 0.999963i \(-0.502754\pi\)
−0.00865139 + 0.999963i \(0.502754\pi\)
\(152\) 4.19973 1.16717i 0.340643 0.0946700i
\(153\) −3.40114 −0.274966
\(154\) −3.33034 + 2.79449i −0.268366 + 0.225186i
\(155\) −0.325801 0.118582i −0.0261689 0.00952471i
\(156\) 1.78101 10.1006i 0.142595 0.808696i
\(157\) 1.33492 + 7.57072i 0.106538 + 0.604210i 0.990595 + 0.136829i \(0.0436911\pi\)
−0.884056 + 0.467381i \(0.845198\pi\)
\(158\) 13.1650 4.79168i 1.04735 0.381205i
\(159\) 7.37431 12.7727i 0.584821 1.01294i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −5.13651 4.31004i −0.404814 0.339679i
\(162\) 7.65170 + 6.42054i 0.601174 + 0.504445i
\(163\) 3.66350 + 6.34537i 0.286948 + 0.497008i 0.973080 0.230469i \(-0.0740261\pi\)
−0.686132 + 0.727477i \(0.740693\pi\)
\(164\) −5.50451 + 9.53409i −0.429830 + 0.744487i
\(165\) 3.07010 1.11742i 0.239007 0.0869913i
\(166\) −1.97593 11.2060i −0.153362 0.869758i
\(167\) −2.75126 + 15.6032i −0.212899 + 1.20741i 0.671617 + 0.740899i \(0.265600\pi\)
−0.884515 + 0.466511i \(0.845511\pi\)
\(168\) −7.03124 2.55916i −0.542472 0.197444i
\(169\) 4.37215 3.66867i 0.336319 0.282205i
\(170\) 1.29660 0.0994446
\(171\) 9.30491 6.64483i 0.711564 0.508143i
\(172\) −11.5252 −0.878786
\(173\) 12.7471 10.6961i 0.969147 0.813211i −0.0132697 0.999912i \(-0.504224\pi\)
0.982417 + 0.186701i \(0.0597796\pi\)
\(174\) 0.290453 + 0.105716i 0.0220192 + 0.00801432i
\(175\) 0.547933 3.10748i 0.0414198 0.234904i
\(176\) 0.239248 + 1.35684i 0.0180340 + 0.102276i
\(177\) −18.2415 + 6.63936i −1.37111 + 0.499045i
\(178\) −9.10910 + 15.7774i −0.682756 + 1.18257i
\(179\) 2.28553 + 3.95866i 0.170829 + 0.295884i 0.938710 0.344708i \(-0.112022\pi\)
−0.767881 + 0.640592i \(0.778689\pi\)
\(180\) 2.00943 + 1.68611i 0.149774 + 0.125675i
\(181\) 1.29338 + 1.08527i 0.0961360 + 0.0806677i 0.689589 0.724201i \(-0.257791\pi\)
−0.593453 + 0.804869i \(0.702236\pi\)
\(182\) −6.82392 11.8194i −0.505823 0.876111i
\(183\) 9.30266 16.1127i 0.687673 1.19108i
\(184\) −1.99684 + 0.726790i −0.147209 + 0.0535796i
\(185\) 1.79118 + 10.1583i 0.131690 + 0.746853i
\(186\) 0.142766 0.809667i 0.0104681 0.0593677i
\(187\) 1.67868 + 0.610991i 0.122758 + 0.0446801i
\(188\) 0.0585581 0.0491361i 0.00427079 0.00358362i
\(189\) 2.81995 0.205121
\(190\) −3.54726 + 2.53317i −0.257345 + 0.183776i
\(191\) 11.2207 0.811901 0.405951 0.913895i \(-0.366941\pi\)
0.405951 + 0.913895i \(0.366941\pi\)
\(192\) −1.81653 + 1.52425i −0.131097 + 0.110003i
\(193\) 20.1920 + 7.34927i 1.45345 + 0.529012i 0.943552 0.331223i \(-0.107461\pi\)
0.509897 + 0.860236i \(0.329684\pi\)
\(194\) 2.81687 15.9752i 0.202239 1.14696i
\(195\) 1.78101 + 10.1006i 0.127541 + 0.723319i
\(196\) −2.77836 + 1.01124i −0.198455 + 0.0722315i
\(197\) −7.63921 + 13.2315i −0.544271 + 0.942705i 0.454381 + 0.890807i \(0.349860\pi\)
−0.998652 + 0.0518981i \(0.983473\pi\)
\(198\) 1.80704 + 3.12988i 0.128420 + 0.222431i
\(199\) 0.542940 + 0.455581i 0.0384880 + 0.0322953i 0.661829 0.749655i \(-0.269781\pi\)
−0.623341 + 0.781950i \(0.714225\pi\)
\(200\) −0.766044 0.642788i −0.0541675 0.0454519i
\(201\) −1.22203 2.11662i −0.0861955 0.149295i
\(202\) 3.31162 5.73590i 0.233005 0.403576i
\(203\) 0.386495 0.140673i 0.0271266 0.00987328i
\(204\) 0.533906 + 3.02793i 0.0373809 + 0.211998i
\(205\) 1.91170 10.8418i 0.133519 0.757222i
\(206\) −11.6123 4.22655i −0.809071 0.294478i
\(207\) −4.27002 + 3.58298i −0.296787 + 0.249034i
\(208\) −4.32521 −0.299899
\(209\) −5.78627 + 1.60809i −0.400244 + 0.111234i
\(210\) 7.48249 0.516341
\(211\) 10.7852 9.04988i 0.742486 0.623020i −0.191018 0.981586i \(-0.561179\pi\)
0.933504 + 0.358567i \(0.116735\pi\)
\(212\) −5.84451 2.12723i −0.401403 0.146099i
\(213\) −4.79832 + 27.2126i −0.328776 + 1.86458i
\(214\) −1.90228 10.7884i −0.130037 0.737478i
\(215\) 10.8301 3.94184i 0.738608 0.268831i
\(216\) 0.446842 0.773953i 0.0304038 0.0526608i
\(217\) −0.547007 0.947444i −0.0371333 0.0643167i
\(218\) −5.70011 4.78296i −0.386060 0.323943i
\(219\) 22.2409 + 18.6623i 1.50290 + 1.26108i
\(220\) −0.688886 1.19319i −0.0464447 0.0804445i
\(221\) −2.80403 + 4.85673i −0.188620 + 0.326699i
\(222\) −22.9850 + 8.36586i −1.54265 + 0.561479i
\(223\) 2.03461 + 11.5389i 0.136248 + 0.772699i 0.973983 + 0.226622i \(0.0727683\pi\)
−0.837735 + 0.546077i \(0.816121\pi\)
\(224\) −0.547933 + 3.10748i −0.0366103 + 0.207627i
\(225\) −2.46493 0.897162i −0.164329 0.0598108i
\(226\) 8.88722 7.45727i 0.591169 0.496050i
\(227\) −10.2265 −0.678758 −0.339379 0.940650i \(-0.610217\pi\)
−0.339379 + 0.940650i \(0.610217\pi\)
\(228\) −7.37636 7.24077i −0.488511 0.479532i
\(229\) −5.05689 −0.334169 −0.167084 0.985943i \(-0.553435\pi\)
−0.167084 + 0.985943i \(0.553435\pi\)
\(230\) 1.62784 1.36592i 0.107336 0.0900660i
\(231\) 9.68744 + 3.52594i 0.637387 + 0.231990i
\(232\) 0.0226345 0.128367i 0.00148603 0.00842768i
\(233\) −1.26042 7.14818i −0.0825727 0.468293i −0.997854 0.0654778i \(-0.979143\pi\)
0.915281 0.402815i \(-0.131968\pi\)
\(234\) −10.6613 + 3.88041i −0.696954 + 0.253671i
\(235\) −0.0382211 + 0.0662008i −0.00249327 + 0.00431847i
\(236\) 4.09313 + 7.08951i 0.266440 + 0.461488i
\(237\) −25.4495 21.3546i −1.65312 1.38713i
\(238\) 3.13413 + 2.62985i 0.203155 + 0.170468i
\(239\) −7.98657 13.8331i −0.516608 0.894792i −0.999814 0.0192850i \(-0.993861\pi\)
0.483206 0.875507i \(-0.339472\pi\)
\(240\) 1.18566 2.05362i 0.0765338 0.132560i
\(241\) −20.8564 + 7.59111i −1.34348 + 0.488986i −0.910906 0.412613i \(-0.864616\pi\)
−0.432572 + 0.901599i \(0.642394\pi\)
\(242\) 1.58050 + 8.96347i 0.101598 + 0.576194i
\(243\) 3.64748 20.6859i 0.233986 1.32700i
\(244\) −7.37283 2.68349i −0.471997 0.171793i
\(245\) 2.26494 1.90051i 0.144702 0.121419i
\(246\) 26.1058 1.66445
\(247\) −1.81729 18.7654i −0.115632 1.19401i
\(248\) −0.346710 −0.0220161
\(249\) −20.6702 + 17.3443i −1.30992 + 1.09915i
\(250\) 0.939693 + 0.342020i 0.0594314 + 0.0216313i
\(251\) 3.91622 22.2100i 0.247190 1.40188i −0.568162 0.822917i \(-0.692345\pi\)
0.815352 0.578966i \(-0.196544\pi\)
\(252\) 1.43730 + 8.15132i 0.0905412 + 0.513485i
\(253\) 2.75119 1.00135i 0.172966 0.0629544i
\(254\) 8.19925 14.2015i 0.514467 0.891083i
\(255\) −1.53732 2.66272i −0.0962708 0.166746i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 8.20783 + 6.88718i 0.511990 + 0.429611i 0.861829 0.507199i \(-0.169319\pi\)
−0.349839 + 0.936810i \(0.613764\pi\)
\(258\) 13.6649 + 23.6683i 0.850739 + 1.47352i
\(259\) −16.2741 + 28.1876i −1.01122 + 1.75149i
\(260\) 4.06437 1.47931i 0.252061 0.0917428i
\(261\) −0.0593732 0.336722i −0.00367511 0.0208426i
\(262\) −1.93386 + 10.9675i −0.119474 + 0.677573i
\(263\) −25.0584 9.12051i −1.54517 0.562395i −0.577890 0.816115i \(-0.696124\pi\)
−0.967278 + 0.253720i \(0.918346\pi\)
\(264\) 2.50277 2.10007i 0.154035 0.129250i
\(265\) 6.21960 0.382067
\(266\) −13.7123 1.07161i −0.840758 0.0657049i
\(267\) 43.2011 2.64386
\(268\) −0.789546 + 0.662508i −0.0482292 + 0.0404691i
\(269\) −1.34180 0.488375i −0.0818110 0.0297768i 0.300790 0.953690i \(-0.402750\pi\)
−0.382601 + 0.923913i \(0.624972\pi\)
\(270\) −0.155187 + 0.880107i −0.00944436 + 0.0535616i
\(271\) 1.27969 + 7.25749i 0.0777357 + 0.440861i 0.998689 + 0.0511882i \(0.0163008\pi\)
−0.920953 + 0.389673i \(0.872588\pi\)
\(272\) 1.21840 0.443463i 0.0738766 0.0268889i
\(273\) −16.1817 + 28.0275i −0.979359 + 1.69630i
\(274\) 3.67083 + 6.35806i 0.221763 + 0.384104i
\(275\) 1.05543 + 0.885615i 0.0636451 + 0.0534046i
\(276\) 3.86011 + 3.23902i 0.232351 + 0.194966i
\(277\) 1.26266 + 2.18698i 0.0758656 + 0.131403i 0.901462 0.432857i \(-0.142495\pi\)
−0.825597 + 0.564261i \(0.809161\pi\)
\(278\) 5.90576 10.2291i 0.354204 0.613500i
\(279\) −0.854616 + 0.311055i −0.0511645 + 0.0186224i
\(280\) −0.547933 3.10748i −0.0327453 0.185708i
\(281\) 2.99175 16.9671i 0.178473 1.01217i −0.755586 0.655050i \(-0.772648\pi\)
0.934058 0.357120i \(-0.116241\pi\)
\(282\) −0.170336 0.0619974i −0.0101434 0.00369189i
\(283\) 21.6184 18.1400i 1.28508 1.07831i 0.292556 0.956248i \(-0.405494\pi\)
0.992523 0.122061i \(-0.0389502\pi\)
\(284\) 11.6528 0.691467
\(285\) 9.40800 + 4.28124i 0.557282 + 0.253599i
\(286\) 5.95915 0.352372
\(287\) 26.6109 22.3292i 1.57079 1.31805i
\(288\) 2.46493 + 0.897162i 0.145248 + 0.0528658i
\(289\) −2.66009 + 15.0861i −0.156476 + 0.887418i
\(290\) 0.0226345 + 0.128367i 0.00132914 + 0.00753795i
\(291\) −36.1469 + 13.1564i −2.11897 + 0.771241i
\(292\) 6.12181 10.6033i 0.358252 0.620510i
\(293\) 6.30904 + 10.9276i 0.368578 + 0.638396i 0.989343 0.145601i \(-0.0465115\pi\)
−0.620766 + 0.783996i \(0.713178\pi\)
\(294\) 5.37089 + 4.50671i 0.313237 + 0.262837i
\(295\) −6.27104 5.26202i −0.365114 0.306367i
\(296\) 5.15751 + 8.93306i 0.299774 + 0.519224i
\(297\) −0.615647 + 1.06633i −0.0357234 + 0.0618748i
\(298\) 3.30256 1.20203i 0.191312 0.0696320i
\(299\) 1.59601 + 9.05140i 0.0922994 + 0.523456i
\(300\) −0.411774 + 2.33529i −0.0237738 + 0.134828i
\(301\) 34.1735 + 12.4382i 1.96973 + 0.716923i
\(302\) 0.162877 0.136670i 0.00937249 0.00786445i
\(303\) −15.7058 −0.902274
\(304\) −2.46694 + 3.59364i −0.141488 + 0.206109i
\(305\) 7.84600 0.449261
\(306\) 2.60543 2.18621i 0.148942 0.124978i
\(307\) −8.51802 3.10031i −0.486149 0.176944i 0.0873047 0.996182i \(-0.472175\pi\)
−0.573454 + 0.819238i \(0.694397\pi\)
\(308\) 0.754926 4.28140i 0.0430159 0.243955i
\(309\) 5.08854 + 28.8586i 0.289477 + 1.64171i
\(310\) 0.325801 0.118582i 0.0185042 0.00673499i
\(311\) 10.8562 18.8035i 0.615599 1.06625i −0.374680 0.927154i \(-0.622247\pi\)
0.990279 0.139095i \(-0.0444192\pi\)
\(312\) 5.12821 + 8.88232i 0.290328 + 0.502863i
\(313\) −7.69570 6.45746i −0.434987 0.364997i 0.398843 0.917019i \(-0.369412\pi\)
−0.833829 + 0.552022i \(0.813856\pi\)
\(314\) −5.88898 4.94144i −0.332334 0.278862i
\(315\) −4.13853 7.16815i −0.233180 0.403879i
\(316\) −7.00496 + 12.1330i −0.394060 + 0.682532i
\(317\) 1.98130 0.721135i 0.111281 0.0405030i −0.285780 0.958295i \(-0.592253\pi\)
0.397061 + 0.917792i \(0.370030\pi\)
\(318\) 2.56107 + 14.5245i 0.143618 + 0.814496i
\(319\) −0.0311852 + 0.176860i −0.00174604 + 0.00990226i
\(320\) −0.939693 0.342020i −0.0525304 0.0191195i
\(321\) −19.8997 + 16.6979i −1.11070 + 0.931984i
\(322\) 6.70524 0.373668
\(323\) 2.43594 + 5.09985i 0.135539 + 0.283763i
\(324\) −9.98859 −0.554921
\(325\) −3.31330 + 2.78019i −0.183789 + 0.154217i
\(326\) −6.88513 2.50598i −0.381332 0.138794i
\(327\) −3.06400 + 17.3768i −0.169439 + 0.960939i
\(328\) −1.91170 10.8418i −0.105556 0.598636i
\(329\) −0.226661 + 0.0824977i −0.0124962 + 0.00454824i
\(330\) −1.63356 + 2.82942i −0.0899248 + 0.155754i
\(331\) 1.72204 + 2.98267i 0.0946521 + 0.163942i 0.909463 0.415784i \(-0.136493\pi\)
−0.814811 + 0.579726i \(0.803159\pi\)
\(332\) 8.71676 + 7.31423i 0.478394 + 0.401420i
\(333\) 20.7273 + 17.3923i 1.13585 + 0.953091i
\(334\) −7.92194 13.7212i −0.433469 0.750791i
\(335\) 0.515340 0.892594i 0.0281560 0.0487676i
\(336\) 7.03124 2.55916i 0.383586 0.139614i
\(337\) −4.49031 25.4658i −0.244603 1.38721i −0.821414 0.570332i \(-0.806814\pi\)
0.576811 0.816877i \(-0.304297\pi\)
\(338\) −0.991085 + 5.62072i −0.0539079 + 0.305727i
\(339\) −25.8516 9.40920i −1.40406 0.511038i
\(340\) −0.993253 + 0.833438i −0.0538667 + 0.0451995i
\(341\) 0.477687 0.0258682
\(342\) −2.85676 + 11.0713i −0.154476 + 0.598668i
\(343\) −12.7584 −0.688889
\(344\) 8.82879 7.40823i 0.476016 0.399425i
\(345\) −4.73513 1.72345i −0.254931 0.0927872i
\(346\) −2.88954 + 16.3874i −0.155343 + 0.880992i
\(347\) 0.438152 + 2.48488i 0.0235212 + 0.133395i 0.994307 0.106552i \(-0.0339810\pi\)
−0.970786 + 0.239947i \(0.922870\pi\)
\(348\) −0.290453 + 0.105716i −0.0155699 + 0.00566698i
\(349\) −1.83973 + 3.18650i −0.0984782 + 0.170569i −0.911055 0.412285i \(-0.864731\pi\)
0.812577 + 0.582854i \(0.198064\pi\)
\(350\) 1.57771 + 2.73267i 0.0843321 + 0.146068i
\(351\) −2.96105 2.48461i −0.158049 0.132619i
\(352\) −1.05543 0.885615i −0.0562548 0.0472034i
\(353\) −1.39818 2.42172i −0.0744175 0.128895i 0.826415 0.563061i \(-0.190376\pi\)
−0.900833 + 0.434166i \(0.857043\pi\)
\(354\) 9.70609 16.8114i 0.515873 0.893518i
\(355\) −10.9501 + 3.98549i −0.581169 + 0.211528i
\(356\) −3.16356 17.9414i −0.167668 0.950893i
\(357\) 1.68470 9.55440i 0.0891637 0.505672i
\(358\) −4.29540 1.56340i −0.227019 0.0826281i
\(359\) 15.4284 12.9460i 0.814280 0.683262i −0.137345 0.990523i \(-0.543857\pi\)
0.951625 + 0.307261i \(0.0994125\pi\)
\(360\) −2.62313 −0.138251
\(361\) −16.6279 9.19314i −0.875151 0.483849i
\(362\) −1.68838 −0.0887395
\(363\) 16.5336 13.8733i 0.867789 0.728162i
\(364\) 12.8248 + 4.66784i 0.672201 + 0.244661i
\(365\) −2.12608 + 12.0576i −0.111284 + 0.631124i
\(366\) 3.23078 + 18.3227i 0.168876 + 0.957741i
\(367\) 4.24866 1.54639i 0.221778 0.0807207i −0.228741 0.973487i \(-0.573461\pi\)
0.450520 + 0.892767i \(0.351239\pi\)
\(368\) 1.06250 1.84030i 0.0553864 0.0959321i
\(369\) −14.4390 25.0091i −0.751666 1.30192i
\(370\) −7.90176 6.63036i −0.410793 0.344696i
\(371\) 15.0340 + 12.6150i 0.780524 + 0.654938i
\(372\) 0.411079 + 0.712009i 0.0213134 + 0.0369160i
\(373\) −11.6352 + 20.1528i −0.602449 + 1.04347i 0.390000 + 0.920815i \(0.372475\pi\)
−0.992449 + 0.122657i \(0.960858\pi\)
\(374\) −1.67868 + 0.610991i −0.0868027 + 0.0315936i
\(375\) −0.411774 2.33529i −0.0212639 0.120594i
\(376\) −0.0132740 + 0.0752808i −0.000684556 + 0.00388231i
\(377\) −0.529778 0.192823i −0.0272849 0.00993091i
\(378\) −2.16021 + 1.81263i −0.111109 + 0.0932315i
\(379\) 9.34667 0.480106 0.240053 0.970760i \(-0.422835\pi\)
0.240053 + 0.970760i \(0.422835\pi\)
\(380\) 1.08907 4.22066i 0.0558679 0.216515i
\(381\) −38.8860 −1.99219
\(382\) −8.59555 + 7.21252i −0.439787 + 0.369025i
\(383\) −30.8559 11.2306i −1.57666 0.573858i −0.602187 0.798355i \(-0.705704\pi\)
−0.974475 + 0.224497i \(0.927926\pi\)
\(384\) 0.411774 2.33529i 0.0210133 0.119172i
\(385\) 0.754926 + 4.28140i 0.0384746 + 0.218200i
\(386\) −20.1920 + 7.34927i −1.02774 + 0.374068i
\(387\) 15.1160 26.1817i 0.768389 1.33089i
\(388\) 8.11084 + 14.0484i 0.411766 + 0.713199i
\(389\) 8.17650 + 6.86090i 0.414565 + 0.347862i 0.826091 0.563537i \(-0.190560\pi\)
−0.411526 + 0.911398i \(0.635004\pi\)
\(390\) −7.85688 6.59270i −0.397848 0.333834i
\(391\) −1.37763 2.38613i −0.0696698 0.120672i
\(392\) 1.47834 2.56055i 0.0746673 0.129327i
\(393\) 24.8159 9.03225i 1.25180 0.455617i
\(394\) −2.65307 15.0463i −0.133660 0.758022i
\(395\) 2.43280 13.7971i 0.122407 0.694207i
\(396\) −3.39612 1.23608i −0.170661 0.0621156i
\(397\) 7.70354 6.46404i 0.386630 0.324421i −0.428669 0.903462i \(-0.641017\pi\)
0.815299 + 0.579041i \(0.196573\pi\)
\(398\) −0.708758 −0.0355268
\(399\) 14.0574 + 29.4305i 0.703753 + 1.47337i
\(400\) 1.00000 0.0500000
\(401\) 9.25312 7.76429i 0.462079 0.387730i −0.381817 0.924238i \(-0.624701\pi\)
0.843895 + 0.536508i \(0.180257\pi\)
\(402\) 2.29667 + 0.835919i 0.114547 + 0.0416918i
\(403\) −0.260401 + 1.47681i −0.0129715 + 0.0735651i
\(404\) 1.15011 + 6.52262i 0.0572203 + 0.324513i
\(405\) 9.38620 3.41630i 0.466404 0.169757i
\(406\) −0.205650 + 0.356196i −0.0102062 + 0.0176777i
\(407\) −7.10587 12.3077i −0.352225 0.610071i
\(408\) −2.35531 1.97634i −0.116605 0.0978435i
\(409\) −30.2942 25.4198i −1.49795 1.25693i −0.883911 0.467655i \(-0.845099\pi\)
−0.614040 0.789275i \(-0.710457\pi\)
\(410\) 5.50451 + 9.53409i 0.271848 + 0.470855i
\(411\) 8.70468 15.0769i 0.429370 0.743691i
\(412\) 11.6123 4.22655i 0.572099 0.208227i
\(413\) −4.48552 25.4386i −0.220718 1.25175i
\(414\) 0.967936 5.48944i 0.0475715 0.269791i
\(415\) −10.6927 3.89182i −0.524883 0.191042i
\(416\) 3.31330 2.78019i 0.162448 0.136310i
\(417\) −28.0088 −1.37160
\(418\) 3.39887 4.95121i 0.166244 0.242172i
\(419\) 28.5326 1.39391 0.696954 0.717116i \(-0.254538\pi\)
0.696954 + 0.717116i \(0.254538\pi\)
\(420\) −5.73192 + 4.80965i −0.279689 + 0.234687i
\(421\) −1.91607 0.697393i −0.0933836 0.0339888i 0.294906 0.955526i \(-0.404712\pi\)
−0.388289 + 0.921537i \(0.626934\pi\)
\(422\) −2.44481 + 13.8652i −0.119012 + 0.674949i
\(423\) 0.0348195 + 0.197471i 0.00169298 + 0.00960138i
\(424\) 5.84451 2.12723i 0.283834 0.103307i
\(425\) 0.648300 1.12289i 0.0314472 0.0544681i
\(426\) −13.8162 23.9304i −0.669398 1.15943i
\(427\) 18.9653 + 15.9138i 0.917794 + 0.770121i
\(428\) 8.39187 + 7.04161i 0.405636 + 0.340369i
\(429\) −7.06551 12.2378i −0.341126 0.590847i
\(430\) −5.76258 + 9.98109i −0.277896 + 0.481331i
\(431\) −12.7523 + 4.64147i −0.614258 + 0.223572i −0.630365 0.776299i \(-0.717095\pi\)
0.0161074 + 0.999870i \(0.494873\pi\)
\(432\) 0.155187 + 0.880107i 0.00746642 + 0.0423442i
\(433\) 5.02952 28.5238i 0.241703 1.37077i −0.586323 0.810078i \(-0.699425\pi\)
0.828026 0.560690i \(-0.189464\pi\)
\(434\) 1.02804 + 0.374175i 0.0493474 + 0.0179610i
\(435\) 0.236779 0.198681i 0.0113527 0.00952604i
\(436\) 7.44096 0.356357
\(437\) 8.43073 + 3.83652i 0.403297 + 0.183526i
\(438\) −29.0334 −1.38727
\(439\) −8.59028 + 7.20810i −0.409992 + 0.344024i −0.824341 0.566094i \(-0.808454\pi\)
0.414349 + 0.910118i \(0.364009\pi\)
\(440\) 1.29468 + 0.471226i 0.0617215 + 0.0224648i
\(441\) 1.34677 7.63790i 0.0641318 0.363710i
\(442\) −0.973830 5.52286i −0.0463204 0.262696i
\(443\) −7.00068 + 2.54804i −0.332612 + 0.121061i −0.502927 0.864329i \(-0.667744\pi\)
0.170315 + 0.985390i \(0.445521\pi\)
\(444\) 12.2301 21.1831i 0.580413 1.00530i
\(445\) 9.10910 + 15.7774i 0.431813 + 0.747921i
\(446\) −8.97564 7.53146i −0.425009 0.356625i
\(447\) −6.38422 5.35700i −0.301963 0.253377i
\(448\) −1.57771 2.73267i −0.0745398 0.129107i
\(449\) −2.65192 + 4.59326i −0.125152 + 0.216769i −0.921792 0.387684i \(-0.873275\pi\)
0.796640 + 0.604453i \(0.206608\pi\)
\(450\) 2.46493 0.897162i 0.116198 0.0422926i
\(451\) 2.63388 + 14.9375i 0.124025 + 0.703378i
\(452\) −2.01457 + 11.4252i −0.0947574 + 0.537396i
\(453\) −0.473783 0.172443i −0.0222603 0.00810207i
\(454\) 7.83397 6.57348i 0.367667 0.308509i
\(455\) −13.6478 −0.639821
\(456\) 10.3049 + 0.805323i 0.482571 + 0.0377127i
\(457\) 14.9890 0.701154 0.350577 0.936534i \(-0.385986\pi\)
0.350577 + 0.936534i \(0.385986\pi\)
\(458\) 3.87381 3.25051i 0.181011 0.151886i
\(459\) 1.08887 + 0.396316i 0.0508241 + 0.0184984i
\(460\) −0.369001 + 2.09271i −0.0172048 + 0.0975730i
\(461\) −1.19157 6.75771i −0.0554968 0.314738i 0.944405 0.328786i \(-0.106639\pi\)
−0.999901 + 0.0140479i \(0.995528\pi\)
\(462\) −9.68744 + 3.52594i −0.450701 + 0.164042i
\(463\) −10.3194 + 17.8738i −0.479585 + 0.830665i −0.999726 0.0234152i \(-0.992546\pi\)
0.520141 + 0.854080i \(0.325879\pi\)
\(464\) 0.0651735 + 0.112884i 0.00302560 + 0.00524050i
\(465\) −0.629809 0.528473i −0.0292067 0.0245073i
\(466\) 5.56030 + 4.66564i 0.257576 + 0.216132i
\(467\) 6.01750 + 10.4226i 0.278457 + 0.482301i 0.971001 0.239074i \(-0.0768438\pi\)
−0.692545 + 0.721375i \(0.743510\pi\)
\(468\) 5.67279 9.82555i 0.262225 0.454186i
\(469\) 3.05609 1.11233i 0.141117 0.0513625i
\(470\) −0.0132740 0.0752808i −0.000612286 0.00347245i
\(471\) −3.16552 + 17.9526i −0.145859 + 0.827210i
\(472\) −7.69256 2.79986i −0.354079 0.128874i
\(473\) −12.1641 + 10.2069i −0.559304 + 0.469312i
\(474\) 33.2219 1.52593
\(475\) 0.420163 + 4.33860i 0.0192784 + 0.199069i
\(476\) −4.09132 −0.187525
\(477\) 12.4979 10.4869i 0.572238 0.480164i
\(478\) 15.0098 + 5.46314i 0.686534 + 0.249878i
\(479\) 3.95553 22.4329i 0.180733 1.02499i −0.750583 0.660776i \(-0.770227\pi\)
0.931316 0.364211i \(-0.118661\pi\)
\(480\) 0.411774 + 2.33529i 0.0187948 + 0.106591i
\(481\) 41.9240 15.2591i 1.91157 0.695754i
\(482\) 11.0975 19.2214i 0.505475 0.875509i
\(483\) −7.95011 13.7700i −0.361743 0.626556i
\(484\) −6.97234 5.85049i −0.316925 0.265931i
\(485\) −12.4265 10.4271i −0.564260 0.473470i
\(486\) 10.5025 + 18.1909i 0.476403 + 0.825155i
\(487\) −3.22456 + 5.58510i −0.146119 + 0.253085i −0.929790 0.368091i \(-0.880011\pi\)
0.783671 + 0.621176i \(0.213345\pi\)
\(488\) 7.37283 2.68349i 0.333752 0.121476i
\(489\) 3.01707 + 17.1107i 0.136437 + 0.773771i
\(490\) −0.513421 + 2.91175i −0.0231940 + 0.131540i
\(491\) 22.8944 + 8.33289i 1.03321 + 0.376058i 0.802303 0.596917i \(-0.203608\pi\)
0.230908 + 0.972975i \(0.425830\pi\)
\(492\) −19.9982 + 16.7805i −0.901590 + 0.756524i
\(493\) 0.169008 0.00761173
\(494\) 13.4543 + 13.2070i 0.605336 + 0.594209i
\(495\) 3.61407 0.162440
\(496\) 0.265595 0.222861i 0.0119256 0.0100067i
\(497\) −34.5520 12.5759i −1.54987 0.564106i
\(498\) 4.68554 26.5730i 0.209964 1.19077i
\(499\) 0.282127 + 1.60002i 0.0126298 + 0.0716269i 0.990471 0.137720i \(-0.0439774\pi\)
−0.977841 + 0.209347i \(0.932866\pi\)
\(500\) −0.939693 + 0.342020i −0.0420243 + 0.0152956i
\(501\) −18.7854 + 32.5373i −0.839270 + 1.45366i
\(502\) 11.2763 + 19.5311i 0.503286 + 0.871717i
\(503\) 26.9615 + 22.6234i 1.20215 + 1.00873i 0.999566 + 0.0294632i \(0.00937978\pi\)
0.202588 + 0.979264i \(0.435065\pi\)
\(504\) −6.34060 5.32040i −0.282433 0.236989i
\(505\) −3.31162 5.73590i −0.147365 0.255244i
\(506\) −1.46388 + 2.53551i −0.0650772 + 0.112717i
\(507\) 12.7179 4.62894i 0.564822 0.205578i
\(508\) 2.84757 + 16.1494i 0.126341 + 0.716513i
\(509\) −4.20711 + 23.8597i −0.186477 + 1.05756i 0.737567 + 0.675274i \(0.235975\pi\)
−0.924043 + 0.382288i \(0.875136\pi\)
\(510\) 2.88922 + 1.05159i 0.127937 + 0.0465652i
\(511\) −29.5952 + 24.8333i −1.30921 + 1.09856i
\(512\) −1.00000 −0.0441942
\(513\) −3.75323 + 1.04308i −0.165709 + 0.0460532i
\(514\) −10.7146 −0.472599
\(515\) −9.46647 + 7.94331i −0.417143 + 0.350024i
\(516\) −25.6816 9.34733i −1.13057 0.411493i
\(517\) 0.0182886 0.103720i 0.000804332 0.00456159i
\(518\) −5.65193 32.0537i −0.248332 1.40836i
\(519\) 37.0795 13.4958i 1.62761 0.592401i
\(520\) −2.16260 + 3.74574i −0.0948365 + 0.164262i
\(521\) 3.95859 + 6.85648i 0.173429 + 0.300388i 0.939616 0.342229i \(-0.111182\pi\)
−0.766187 + 0.642617i \(0.777849\pi\)
\(522\) 0.261923 + 0.219780i 0.0114641 + 0.00961950i
\(523\) −1.88229 1.57943i −0.0823069 0.0690637i 0.600706 0.799470i \(-0.294886\pi\)
−0.683013 + 0.730406i \(0.739331\pi\)
\(524\) −5.56833 9.64464i −0.243254 0.421328i
\(525\) 3.74124 6.48003i 0.163281 0.282811i
\(526\) 25.0584 9.12051i 1.09260 0.397673i
\(527\) −0.0780624 0.442714i −0.00340045 0.0192849i
\(528\) −0.567331 + 3.21749i −0.0246899 + 0.140023i
\(529\) 17.3697 + 6.32204i 0.755203 + 0.274871i
\(530\) −4.76449 + 3.99788i −0.206956 + 0.173657i
\(531\) −21.4736 −0.931874
\(532\) 11.1931 7.99322i 0.485282 0.346550i
\(533\) −47.6163 −2.06249
\(534\) −33.0939 + 27.7691i −1.43211 + 1.20169i
\(535\) −10.2941 3.74676i −0.445055 0.161987i
\(536\) 0.178976 1.01502i 0.00773057 0.0438422i
\(537\) 1.88225 + 10.6748i 0.0812250 + 0.460650i
\(538\) 1.34180 0.488375i 0.0578491 0.0210554i
\(539\) −2.03681 + 3.52786i −0.0877316 + 0.151956i
\(540\) −0.446842 0.773953i −0.0192290 0.0333056i
\(541\) 17.2132 + 14.4436i 0.740054 + 0.620979i 0.932852 0.360260i \(-0.117312\pi\)
−0.192798 + 0.981238i \(0.561756\pi\)
\(542\) −5.64532 4.73699i −0.242487 0.203471i
\(543\) 2.00184 + 3.46730i 0.0859074 + 0.148796i
\(544\) −0.648300 + 1.12289i −0.0277956 + 0.0481434i
\(545\) −6.99222 + 2.54496i −0.299514 + 0.109014i
\(546\) −5.61983 31.8717i −0.240507 1.36398i
\(547\) −4.65342 + 26.3908i −0.198966 + 1.12839i 0.707691 + 0.706522i \(0.249737\pi\)
−0.906657 + 0.421869i \(0.861374\pi\)
\(548\) −6.89889 2.51099i −0.294706 0.107264i
\(549\) 15.7660 13.2292i 0.672876 0.564610i
\(550\) −1.37777 −0.0587484
\(551\) −0.462374 + 0.330191i −0.0196978 + 0.0140666i
\(552\) −5.03902 −0.214475
\(553\) 33.8647 28.4158i 1.44007 1.20836i
\(554\) −2.37302 0.863707i −0.100820 0.0366954i
\(555\) −4.24746 + 24.0885i −0.180294 + 1.02250i
\(556\) 2.05105 + 11.6321i 0.0869839 + 0.493310i
\(557\) 36.7473 13.3749i 1.55704 0.566714i 0.586980 0.809601i \(-0.300317\pi\)
0.970055 + 0.242887i \(0.0780943\pi\)
\(558\) 0.454732 0.787619i 0.0192503 0.0333426i
\(559\) −24.9244 43.1703i −1.05419 1.82591i
\(560\) 2.41719 + 2.02826i 0.102145 + 0.0857098i
\(561\) 3.24508 + 2.72295i 0.137008 + 0.114963i
\(562\) 8.61440 + 14.9206i 0.363377 + 0.629387i
\(563\) −4.31076 + 7.46645i −0.181677 + 0.314673i −0.942452 0.334343i \(-0.891486\pi\)
0.760775 + 0.649016i \(0.224819\pi\)
\(564\) 0.170336 0.0619974i 0.00717246 0.00261056i
\(565\) −2.01457 11.4252i −0.0847536 0.480662i
\(566\) −4.90049 + 27.7920i −0.205983 + 1.16819i
\(567\) 29.6174 + 10.7799i 1.24381 + 0.452711i
\(568\) −8.92657 + 7.49028i −0.374550 + 0.314285i
\(569\) 23.0260 0.965300 0.482650 0.875813i \(-0.339674\pi\)
0.482650 + 0.875813i \(0.339674\pi\)
\(570\) −9.95887 + 2.76773i −0.417131 + 0.115927i
\(571\) −29.9673 −1.25409 −0.627047 0.778981i \(-0.715737\pi\)
−0.627047 + 0.778981i \(0.715737\pi\)
\(572\) −4.56497 + 3.83047i −0.190871 + 0.160160i
\(573\) 25.0031 + 9.10040i 1.04452 + 0.380175i
\(574\) −6.03220 + 34.2103i −0.251779 + 1.42791i
\(575\) −0.369001 2.09271i −0.0153884 0.0872719i
\(576\) −2.46493 + 0.897162i −0.102706 + 0.0373818i
\(577\) −2.27258 + 3.93622i −0.0946087 + 0.163867i −0.909445 0.415824i \(-0.863493\pi\)
0.814837 + 0.579691i \(0.196827\pi\)
\(578\) −7.65941 13.2665i −0.318590 0.551813i
\(579\) 39.0333 + 32.7529i 1.62217 + 1.36116i
\(580\) −0.0998515 0.0837854i −0.00414611 0.00347900i
\(581\) −17.9526 31.0949i −0.744800 1.29003i
\(582\) 19.2334 33.3131i 0.797248 1.38087i
\(583\) −8.05240 + 2.93083i −0.333496 + 0.121383i
\(584\) 2.12608 + 12.0576i 0.0879779 + 0.498947i
\(585\) −1.97014 + 11.1732i −0.0814552 + 0.461955i
\(586\) −11.8571 4.31563i −0.489813 0.178277i
\(587\) 14.1471 11.8709i 0.583915 0.489963i −0.302315 0.953208i \(-0.597760\pi\)
0.886230 + 0.463245i \(0.153315\pi\)
\(588\) −7.01120 −0.289137
\(589\) 1.07850 + 1.05867i 0.0444387 + 0.0436219i
\(590\) 8.18626 0.337023
\(591\) −27.7537 + 23.2881i −1.14164 + 0.957946i
\(592\) −9.69294 3.52794i −0.398377 0.144998i
\(593\) −2.77694 + 15.7488i −0.114035 + 0.646726i 0.873188 + 0.487384i \(0.162049\pi\)
−0.987223 + 0.159343i \(0.949062\pi\)
\(594\) −0.213812 1.21259i −0.00877280 0.0497530i
\(595\) 3.84458 1.39931i 0.157612 0.0573662i
\(596\) −1.75726 + 3.04366i −0.0719800 + 0.124673i
\(597\) 0.840343 + 1.45552i 0.0343930 + 0.0595704i
\(598\) −7.04074 5.90788i −0.287917 0.241591i
\(599\) 3.02967 + 2.54220i 0.123789 + 0.103871i 0.702581 0.711604i \(-0.252031\pi\)
−0.578792 + 0.815476i \(0.696476\pi\)
\(600\) −1.18566 2.05362i −0.0484042 0.0838386i
\(601\) 1.10855 1.92006i 0.0452186 0.0783209i −0.842530 0.538649i \(-0.818935\pi\)
0.887749 + 0.460328i \(0.152268\pi\)
\(602\) −34.1735 + 12.4382i −1.39281 + 0.506941i
\(603\) −0.469476 2.66253i −0.0191185 0.108427i
\(604\) −0.0369211 + 0.209390i −0.00150230 + 0.00851996i
\(605\) 8.55284 + 3.11298i 0.347722 + 0.126561i
\(606\) 12.0313 10.0955i 0.488739 0.410101i
\(607\) 17.4964 0.710155 0.355078 0.934837i \(-0.384454\pi\)
0.355078 + 0.934837i \(0.384454\pi\)
\(608\) −0.420163 4.33860i −0.0170399 0.175954i
\(609\) 0.975319 0.0395219
\(610\) −6.01038 + 5.04331i −0.243353 + 0.204198i
\(611\) 0.310689 + 0.113082i 0.0125691 + 0.00457479i
\(612\) −0.590603 + 3.34947i −0.0238737 + 0.135394i
\(613\) 1.58504 + 8.98922i 0.0640193 + 0.363071i 0.999941 + 0.0108633i \(0.00345795\pi\)
−0.935922 + 0.352208i \(0.885431\pi\)
\(614\) 8.51802 3.10031i 0.343759 0.125118i
\(615\) 13.0529 22.6083i 0.526344 0.911655i
\(616\) 2.17372 + 3.76500i 0.0875818 + 0.151696i
\(617\) 1.19206 + 1.00026i 0.0479906 + 0.0402689i 0.666467 0.745534i \(-0.267806\pi\)
−0.618477 + 0.785803i \(0.712250\pi\)
\(618\) −22.4480 18.8361i −0.902990 0.757699i
\(619\) −16.2140 28.0835i −0.651695 1.12877i −0.982711 0.185144i \(-0.940725\pi\)
0.331016 0.943625i \(-0.392609\pi\)
\(620\) −0.173355 + 0.300259i −0.00696210 + 0.0120587i
\(621\) 1.78454 0.649520i 0.0716112 0.0260644i
\(622\) 3.77032 + 21.3826i 0.151176 + 0.857362i
\(623\) −9.98235 + 56.6127i −0.399934 + 2.26814i
\(624\) −9.63789 3.50790i −0.385824 0.140429i
\(625\) 0.766044 0.642788i 0.0306418 0.0257115i
\(626\) 10.0460 0.401520
\(627\) −14.1978 1.10955i −0.567005 0.0443112i
\(628\) 7.68751 0.306765
\(629\) −10.2454 + 8.59692i −0.408511 + 0.342782i
\(630\) 7.77790 + 2.83092i 0.309879 + 0.112787i
\(631\) −1.67744 + 9.51323i −0.0667778 + 0.378716i 0.933043 + 0.359766i \(0.117143\pi\)
−0.999820 + 0.0189499i \(0.993968\pi\)
\(632\) −2.43280 13.7971i −0.0967715 0.548819i
\(633\) 31.3726 11.4187i 1.24695 0.453852i
\(634\) −1.05423 + 1.82598i −0.0418688 + 0.0725189i
\(635\) −8.19925 14.2015i −0.325377 0.563570i
\(636\) −11.2981 9.48023i −0.447999 0.375915i
\(637\) −9.79635 8.22011i −0.388145 0.325693i
\(638\) −0.0897942 0.155528i −0.00355498 0.00615741i
\(639\) −15.2834 + 26.4716i −0.604602 + 1.04720i
\(640\) 0.939693 0.342020i 0.0371446 0.0135195i
\(641\) 7.05763 + 40.0258i 0.278759 + 1.58092i 0.726761 + 0.686891i \(0.241025\pi\)
−0.448001 + 0.894033i \(0.647864\pi\)
\(642\) 4.51091 25.5826i 0.178031 1.00967i
\(643\) 39.5312 + 14.3882i 1.55896 + 0.567414i 0.970497 0.241112i \(-0.0775121\pi\)
0.588460 + 0.808526i \(0.299734\pi\)
\(644\) −5.13651 + 4.31004i −0.202407 + 0.169840i
\(645\) 27.3298 1.07611
\(646\) −5.14416 2.34092i −0.202394 0.0921022i
\(647\) 18.0072 0.707936 0.353968 0.935258i \(-0.384832\pi\)
0.353968 + 0.935258i \(0.384832\pi\)
\(648\) 7.65170 6.42054i 0.300587 0.252223i
\(649\) 10.5986 + 3.85757i 0.416031 + 0.151423i
\(650\) 0.751065 4.25950i 0.0294592 0.167071i
\(651\) −0.450487 2.55484i −0.0176560 0.100132i
\(652\) 6.88513 2.50598i 0.269643 0.0981419i
\(653\) −19.7435 + 34.1968i −0.772624 + 1.33822i 0.163496 + 0.986544i \(0.447723\pi\)
−0.936120 + 0.351680i \(0.885610\pi\)
\(654\) −8.82243 15.2809i −0.344984 0.597530i
\(655\) 8.53118 + 7.15851i 0.333341 + 0.279706i
\(656\) 8.43340 + 7.07646i 0.329269 + 0.276289i
\(657\) 16.0583 + 27.8138i 0.626493 + 1.08512i
\(658\) 0.120604 0.208891i 0.00470162 0.00814344i
\(659\) −33.6395 + 12.2438i −1.31041 + 0.476949i −0.900372 0.435120i \(-0.856706\pi\)
−0.410035 + 0.912070i \(0.634484\pi\)
\(660\) −0.567331 3.21749i −0.0220833 0.125241i
\(661\) 2.36241 13.3979i 0.0918871 0.521118i −0.903770 0.428019i \(-0.859212\pi\)
0.995657 0.0930988i \(-0.0296772\pi\)
\(662\) −3.23639 1.17795i −0.125786 0.0457822i
\(663\) −10.1872 + 8.54809i −0.395639 + 0.331980i
\(664\) −11.3789 −0.441588
\(665\) −7.78422 + 11.3394i −0.301859 + 0.439724i
\(666\) −27.0576 −1.04846
\(667\) 0.212184 0.178043i 0.00821578 0.00689386i
\(668\) 14.8884 + 5.41893i 0.576049 + 0.209665i
\(669\) −4.82470 + 27.3623i −0.186534 + 1.05789i
\(670\) 0.178976 + 1.01502i 0.00691443 + 0.0392137i
\(671\) −10.1581 + 3.69724i −0.392148 + 0.142730i
\(672\) −3.74124 + 6.48003i −0.144322 + 0.249972i
\(673\) 21.1108 + 36.5649i 0.813760 + 1.40947i 0.910215 + 0.414136i \(0.135916\pi\)
−0.0964549 + 0.995337i \(0.530750\pi\)
\(674\) 19.8089 + 16.6216i 0.763009 + 0.640241i
\(675\) 0.684602 + 0.574449i 0.0263503 + 0.0221106i
\(676\) −2.85372 4.94278i −0.109758 0.190107i
\(677\) 21.8355 37.8202i 0.839207 1.45355i −0.0513514 0.998681i \(-0.516353\pi\)
0.890558 0.454869i \(-0.150314\pi\)
\(678\) 25.8516 9.40920i 0.992824 0.361358i
\(679\) −8.88840 50.4086i −0.341105 1.93450i
\(680\) 0.225152 1.27690i 0.00863419 0.0489669i
\(681\) −22.7878 8.29409i −0.873231 0.317830i
\(682\) −0.365929 + 0.307051i −0.0140122 + 0.0117576i
\(683\) 9.22100 0.352832 0.176416 0.984316i \(-0.443550\pi\)
0.176416 + 0.984316i \(0.443550\pi\)
\(684\) −4.92810 10.3174i −0.188431 0.394496i
\(685\) 7.34165 0.280510
\(686\) 9.77350 8.20094i 0.373154 0.313113i
\(687\) −11.2683 4.10133i −0.429913 0.156475i
\(688\) −2.00132 + 11.3501i −0.0762998 + 0.432717i
\(689\) −4.67132 26.4924i −0.177963 1.00928i
\(690\) 4.73513 1.72345i 0.180263 0.0656105i
\(691\) 20.0044 34.6487i 0.761004 1.31810i −0.181330 0.983422i \(-0.558040\pi\)
0.942334 0.334675i \(-0.108626\pi\)
\(692\) −8.32010 14.4108i −0.316283 0.547818i
\(693\) 8.73590 + 7.33029i 0.331849 + 0.278455i
\(694\) −1.93290 1.62189i −0.0733717 0.0615662i
\(695\) −5.90576 10.2291i −0.224018 0.388011i
\(696\) 0.154547 0.267683i 0.00585808 0.0101465i
\(697\) 13.4134 4.88209i 0.508070 0.184922i
\(698\) −0.638930 3.62355i −0.0241839 0.137153i
\(699\) 2.98884 16.9506i 0.113048 0.641130i
\(700\) −2.96512 1.07922i −0.112071 0.0407906i
\(701\) −1.37655 + 1.15507i −0.0519917 + 0.0436262i −0.668413 0.743790i \(-0.733026\pi\)
0.616422 + 0.787416i \(0.288582\pi\)
\(702\) 3.86537 0.145889
\(703\) 11.2337 43.5361i 0.423688 1.64200i
\(704\) 1.37777 0.0519267
\(705\) −0.138860 + 0.116517i −0.00522975 + 0.00438828i
\(706\) 2.62772 + 0.956410i 0.0988954 + 0.0359950i
\(707\) 3.62909 20.5816i 0.136486 0.774051i
\(708\) 3.37089 + 19.1173i 0.126686 + 0.718471i
\(709\) −31.8904 + 11.6072i −1.19767 + 0.435916i −0.862410 0.506210i \(-0.831046\pi\)
−0.335259 + 0.942126i \(0.608824\pi\)
\(710\) 5.82640 10.0916i 0.218661 0.378732i
\(711\) −18.3749 31.8263i −0.689113 1.19358i
\(712\) 13.9559 + 11.7104i 0.523021 + 0.438867i
\(713\) −0.564387 0.473577i −0.0211365 0.0177356i
\(714\) 4.85090 + 8.40200i 0.181540 + 0.314437i
\(715\) 2.97958 5.16078i 0.111430 0.193002i
\(716\) 4.29540 1.56340i 0.160527 0.0584269i
\(717\) −6.57733 37.3019i −0.245635 1.39306i
\(718\) −3.49734 + 19.8344i −0.130519 + 0.740212i
\(719\) 4.77790 + 1.73901i 0.178186 + 0.0648542i 0.429572 0.903033i \(-0.358664\pi\)
−0.251387 + 0.967887i \(0.580887\pi\)
\(720\) 2.00943 1.68611i 0.0748871 0.0628377i
\(721\) −38.9934 −1.45219
\(722\) 18.6469 3.64584i 0.693967 0.135684i
\(723\) −52.6311 −1.95737
\(724\) 1.29338 1.08527i 0.0480680 0.0403338i
\(725\) 0.122486 + 0.0445813i 0.00454902 + 0.00165571i
\(726\) −3.74786 + 21.2552i −0.139096 + 0.788854i
\(727\) −3.74747 21.2529i −0.138986 0.788228i −0.972001 0.234977i \(-0.924498\pi\)
0.833015 0.553250i \(-0.186613\pi\)
\(728\) −12.8248 + 4.66784i −0.475318 + 0.173002i
\(729\) 9.92186 17.1852i 0.367476 0.636487i
\(730\) −6.12181 10.6033i −0.226578 0.392445i
\(731\) 11.4474 + 9.60551i 0.423397 + 0.355273i
\(732\) −14.2525 11.9593i −0.526788 0.442027i
\(733\) −4.73774 8.20601i −0.174993 0.303096i 0.765166 0.643833i \(-0.222657\pi\)
−0.940159 + 0.340737i \(0.889323\pi\)
\(734\) −2.26066 + 3.91559i −0.0834426 + 0.144527i
\(735\) 6.58837 2.39797i 0.243016 0.0884505i
\(736\) 0.369001 + 2.09271i 0.0136015 + 0.0771382i
\(737\) −0.246588 + 1.39847i −0.00908317 + 0.0515132i
\(738\) 27.1365 + 9.87687i 0.998908 + 0.363573i
\(739\) −6.02954 + 5.05938i −0.221800 + 0.186112i −0.746916 0.664918i \(-0.768466\pi\)
0.525116 + 0.851031i \(0.324022\pi\)
\(740\) 10.3150 0.379187
\(741\) 11.1699 43.2888i 0.410337 1.59026i
\(742\) −19.6254 −0.720473
\(743\) 37.0651 31.1013i 1.35979 1.14100i 0.383737 0.923442i \(-0.374637\pi\)
0.976049 0.217553i \(-0.0698075\pi\)
\(744\) −0.772575 0.281194i −0.0283240 0.0103091i
\(745\) 0.610289 3.46112i 0.0223592 0.126806i
\(746\) −4.04087 22.9169i −0.147947 0.839048i
\(747\) −28.0483 + 10.2087i −1.02623 + 0.373518i
\(748\) 0.893209 1.54708i 0.0326590 0.0565670i
\(749\) −17.2835 29.9359i −0.631525 1.09383i
\(750\) 1.81653 + 1.52425i 0.0663303 + 0.0556578i
\(751\) −9.30243 7.80567i −0.339451 0.284833i 0.457087 0.889422i \(-0.348893\pi\)
−0.796537 + 0.604589i \(0.793337\pi\)
\(752\) −0.0382211 0.0662008i −0.00139378 0.00241410i
\(753\) 26.7397 46.3145i 0.974447 1.68779i
\(754\) 0.529778 0.192823i 0.0192934 0.00702221i
\(755\) −0.0369211 0.209390i −0.00134370 0.00762048i
\(756\) 0.489679 2.77711i 0.0178095 0.101002i
\(757\) −32.8586 11.9596i −1.19427 0.434677i −0.333046 0.942910i \(-0.608077\pi\)
−0.861220 + 0.508233i \(0.830299\pi\)
\(758\) −7.15997 + 6.00792i −0.260062 + 0.218218i
\(759\) 6.94262 0.252001
\(760\) 1.87871 + 3.93325i 0.0681481 + 0.142674i
\(761\) 46.9073 1.70039 0.850194 0.526470i \(-0.176485\pi\)
0.850194 + 0.526470i \(0.176485\pi\)
\(762\) 29.7884 24.9954i 1.07912 0.905489i
\(763\) −22.0634 8.03041i −0.798748 0.290720i
\(764\) 1.94845 11.0502i 0.0704926 0.399783i
\(765\) −0.590603 3.34947i −0.0213533 0.121100i
\(766\) 30.8559 11.2306i 1.11487 0.405779i
\(767\) −17.7036 + 30.6636i −0.639241 + 1.10720i
\(768\) 1.18566 + 2.05362i 0.0427837 + 0.0741035i
\(769\) 1.06182 + 0.890969i 0.0382900 + 0.0321292i 0.661732 0.749741i \(-0.269822\pi\)
−0.623442 + 0.781870i \(0.714266\pi\)
\(770\) −3.33034 2.79449i −0.120017 0.100706i
\(771\) 12.7038 + 22.0036i 0.457516 + 0.792440i
\(772\) 10.7439 18.6090i 0.386682 0.