Properties

Label 390.2.bd.b.37.4
Level $390$
Weight $2$
Character 390.37
Analytic conductor $3.114$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 37.4
Root \(0.339278 + 0.0446668i\) of defining polynomial
Character \(\chi\) \(=\) 390.37
Dual form 390.2.bd.b.253.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(0.965926 + 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.64991 + 1.50924i) q^{5} +(-0.965926 + 0.258819i) q^{6} +(-1.56046 + 2.70280i) q^{7} +1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(0.965926 + 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.64991 + 1.50924i) q^{5} +(-0.965926 + 0.258819i) q^{6} +(-1.56046 + 2.70280i) q^{7} +1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +(-2.18348 - 0.482081i) q^{10} +(0.628610 + 0.168435i) q^{11} +(0.707107 - 0.707107i) q^{12} +(-3.13115 + 1.78771i) q^{13} -3.12092i q^{14} +(1.20307 + 1.88484i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.0226346 - 0.0844736i) q^{17} -1.00000 q^{18} +(0.264302 + 0.986389i) q^{19} +(2.13199 - 0.674247i) q^{20} +(-2.20683 + 2.20683i) q^{21} +(-0.628610 + 0.168435i) q^{22} +(0.611240 - 2.28118i) q^{23} +(-0.258819 + 0.965926i) q^{24} +(0.444415 + 4.98021i) q^{25} +(1.81780 - 3.11378i) q^{26} +(0.707107 + 0.707107i) q^{27} +(1.56046 + 2.70280i) q^{28} +(7.96403 - 4.59804i) q^{29} +(-1.98431 - 1.03078i) q^{30} +(-1.40560 - 1.40560i) q^{31} +(0.866025 + 0.500000i) q^{32} +(0.563596 + 0.325392i) q^{33} +(0.0618390 + 0.0618390i) q^{34} +(-6.65378 + 2.10427i) q^{35} +(0.866025 - 0.500000i) q^{36} +(3.80043 + 6.58253i) q^{37} +(-0.722087 - 0.722087i) q^{38} +(-3.48715 + 0.916397i) q^{39} +(-1.50924 + 1.64991i) q^{40} +(-0.901032 + 3.36270i) q^{41} +(0.807754 - 3.01458i) q^{42} +(-9.73152 + 2.60755i) q^{43} +(0.460174 - 0.460174i) q^{44} +(0.674247 + 2.13199i) q^{45} +(0.611240 + 2.28118i) q^{46} +4.74221 q^{47} +(-0.258819 - 0.965926i) q^{48} +(-1.37008 - 2.37305i) q^{49} +(-2.87498 - 4.09078i) q^{50} -0.0874535i q^{51} +(-0.0173697 + 3.60551i) q^{52} +(6.10974 - 6.10974i) q^{53} +(-0.965926 - 0.258819i) q^{54} +(0.782942 + 1.22662i) q^{55} +(-2.70280 - 1.56046i) q^{56} +1.02119i q^{57} +(-4.59804 + 7.96403i) q^{58} +(-12.7884 + 3.42665i) q^{59} +(2.23385 - 0.0994727i) q^{60} +(3.40217 - 5.89274i) q^{61} +(1.92008 + 0.514484i) q^{62} +(-2.70280 + 1.56046i) q^{63} -1.00000 q^{64} +(-7.86420 - 1.77607i) q^{65} -0.650785 q^{66} +(9.39213 - 5.42255i) q^{67} +(-0.0844736 - 0.0226346i) q^{68} +(1.18083 - 2.04525i) q^{69} +(4.71021 - 5.14925i) q^{70} +(13.0079 - 3.48547i) q^{71} +(-0.500000 + 0.866025i) q^{72} +2.45159i q^{73} +(-6.58253 - 3.80043i) q^{74} +(-0.859701 + 4.92554i) q^{75} +(0.986389 + 0.264302i) q^{76} +(-1.43617 + 1.43617i) q^{77} +(2.56176 - 2.53720i) q^{78} -10.4433i q^{79} +(0.482081 - 2.18348i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-0.901032 - 3.36270i) q^{82} +1.51346 q^{83} +(0.807754 + 3.01458i) q^{84} +(0.0901454 - 0.173535i) q^{85} +(7.12397 - 7.12397i) q^{86} +(8.88272 - 2.38012i) q^{87} +(-0.168435 + 0.628610i) q^{88} +(4.84513 - 18.0823i) q^{89} +(-1.64991 - 1.50924i) q^{90} +(0.0542094 - 11.2525i) q^{91} +(-1.66994 - 1.66994i) q^{92} +(-0.993907 - 1.72150i) q^{93} +(-4.10687 + 2.37110i) q^{94} +(-1.05262 + 2.02635i) q^{95} +(0.707107 + 0.707107i) q^{96} +(4.43146 + 2.55851i) q^{97} +(2.37305 + 1.37008i) q^{98} +(0.460174 + 0.460174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) 0.965926 + 0.258819i 0.557678 + 0.149429i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 1.64991 + 1.50924i 0.737863 + 0.674951i
\(6\) −0.965926 + 0.258819i −0.394338 + 0.105662i
\(7\) −1.56046 + 2.70280i −0.589799 + 1.02156i 0.404459 + 0.914556i \(0.367460\pi\)
−0.994258 + 0.107006i \(0.965874\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.866025 + 0.500000i 0.288675 + 0.166667i
\(10\) −2.18348 0.482081i −0.690478 0.152447i
\(11\) 0.628610 + 0.168435i 0.189533 + 0.0507852i 0.352337 0.935873i \(-0.385387\pi\)
−0.162804 + 0.986658i \(0.552054\pi\)
\(12\) 0.707107 0.707107i 0.204124 0.204124i
\(13\) −3.13115 + 1.78771i −0.868424 + 0.495822i
\(14\) 3.12092i 0.834102i
\(15\) 1.20307 + 1.88484i 0.310632 + 0.486663i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −0.0226346 0.0844736i −0.00548970 0.0204879i 0.963127 0.269048i \(-0.0867092\pi\)
−0.968616 + 0.248561i \(0.920042\pi\)
\(18\) −1.00000 −0.235702
\(19\) 0.264302 + 0.986389i 0.0606351 + 0.226293i 0.989594 0.143891i \(-0.0459614\pi\)
−0.928959 + 0.370184i \(0.879295\pi\)
\(20\) 2.13199 0.674247i 0.476728 0.150766i
\(21\) −2.20683 + 2.20683i −0.481569 + 0.481569i
\(22\) −0.628610 + 0.168435i −0.134020 + 0.0359106i
\(23\) 0.611240 2.28118i 0.127452 0.475659i −0.872463 0.488680i \(-0.837478\pi\)
0.999915 + 0.0130217i \(0.00414507\pi\)
\(24\) −0.258819 + 0.965926i −0.0528312 + 0.197169i
\(25\) 0.444415 + 4.98021i 0.0888830 + 0.996042i
\(26\) 1.81780 3.11378i 0.356499 0.610662i
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) 1.56046 + 2.70280i 0.294899 + 0.510781i
\(29\) 7.96403 4.59804i 1.47888 0.853834i 0.479169 0.877723i \(-0.340938\pi\)
0.999715 + 0.0238887i \(0.00760474\pi\)
\(30\) −1.98431 1.03078i −0.362284 0.188194i
\(31\) −1.40560 1.40560i −0.252453 0.252453i 0.569523 0.821975i \(-0.307128\pi\)
−0.821975 + 0.569523i \(0.807128\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 0.563596 + 0.325392i 0.0981095 + 0.0566435i
\(34\) 0.0618390 + 0.0618390i 0.0106053 + 0.0106053i
\(35\) −6.65378 + 2.10427i −1.12469 + 0.355687i
\(36\) 0.866025 0.500000i 0.144338 0.0833333i
\(37\) 3.80043 + 6.58253i 0.624786 + 1.08216i 0.988582 + 0.150683i \(0.0481473\pi\)
−0.363796 + 0.931479i \(0.618519\pi\)
\(38\) −0.722087 0.722087i −0.117138 0.117138i
\(39\) −3.48715 + 0.916397i −0.558391 + 0.146741i
\(40\) −1.50924 + 1.64991i −0.238631 + 0.260874i
\(41\) −0.901032 + 3.36270i −0.140718 + 0.525165i 0.859191 + 0.511655i \(0.170967\pi\)
−0.999909 + 0.0135103i \(0.995699\pi\)
\(42\) 0.807754 3.01458i 0.124639 0.465160i
\(43\) −9.73152 + 2.60755i −1.48404 + 0.397648i −0.907721 0.419575i \(-0.862179\pi\)
−0.576322 + 0.817223i \(0.695513\pi\)
\(44\) 0.460174 0.460174i 0.0693739 0.0693739i
\(45\) 0.674247 + 2.13199i 0.100511 + 0.317819i
\(46\) 0.611240 + 2.28118i 0.0901224 + 0.336341i
\(47\) 4.74221 0.691722 0.345861 0.938286i \(-0.387587\pi\)
0.345861 + 0.938286i \(0.387587\pi\)
\(48\) −0.258819 0.965926i −0.0373573 0.139419i
\(49\) −1.37008 2.37305i −0.195726 0.339007i
\(50\) −2.87498 4.09078i −0.406584 0.578524i
\(51\) 0.0874535i 0.0122459i
\(52\) −0.0173697 + 3.60551i −0.00240874 + 0.499994i
\(53\) 6.10974 6.10974i 0.839237 0.839237i −0.149521 0.988758i \(-0.547773\pi\)
0.988758 + 0.149521i \(0.0477733\pi\)
\(54\) −0.965926 0.258819i −0.131446 0.0352208i
\(55\) 0.782942 + 1.22662i 0.105572 + 0.165398i
\(56\) −2.70280 1.56046i −0.361177 0.208525i
\(57\) 1.02119i 0.135259i
\(58\) −4.59804 + 7.96403i −0.603752 + 1.04573i
\(59\) −12.7884 + 3.42665i −1.66491 + 0.446112i −0.963732 0.266872i \(-0.914010\pi\)
−0.701181 + 0.712984i \(0.747343\pi\)
\(60\) 2.23385 0.0994727i 0.288389 0.0128419i
\(61\) 3.40217 5.89274i 0.435604 0.754488i −0.561741 0.827313i \(-0.689868\pi\)
0.997345 + 0.0728252i \(0.0232015\pi\)
\(62\) 1.92008 + 0.514484i 0.243851 + 0.0653395i
\(63\) −2.70280 + 1.56046i −0.340521 + 0.196600i
\(64\) −1.00000 −0.125000
\(65\) −7.86420 1.77607i −0.975433 0.220295i
\(66\) −0.650785 −0.0801061
\(67\) 9.39213 5.42255i 1.14743 0.662470i 0.199172 0.979965i \(-0.436175\pi\)
0.948260 + 0.317495i \(0.102842\pi\)
\(68\) −0.0844736 0.0226346i −0.0102439 0.00274485i
\(69\) 1.18083 2.04525i 0.142155 0.246219i
\(70\) 4.71021 5.14925i 0.562978 0.615453i
\(71\) 13.0079 3.48547i 1.54376 0.413649i 0.616281 0.787526i \(-0.288639\pi\)
0.927478 + 0.373878i \(0.121972\pi\)
\(72\) −0.500000 + 0.866025i −0.0589256 + 0.102062i
\(73\) 2.45159i 0.286937i 0.989655 + 0.143469i \(0.0458256\pi\)
−0.989655 + 0.143469i \(0.954174\pi\)
\(74\) −6.58253 3.80043i −0.765204 0.441791i
\(75\) −0.859701 + 4.92554i −0.0992697 + 0.568752i
\(76\) 0.986389 + 0.264302i 0.113147 + 0.0303175i
\(77\) −1.43617 + 1.43617i −0.163667 + 0.163667i
\(78\) 2.56176 2.53720i 0.290062 0.287281i
\(79\) 10.4433i 1.17496i −0.809239 0.587480i \(-0.800120\pi\)
0.809239 0.587480i \(-0.199880\pi\)
\(80\) 0.482081 2.18348i 0.0538983 0.244121i
\(81\) 0.500000 + 0.866025i 0.0555556 + 0.0962250i
\(82\) −0.901032 3.36270i −0.0995023 0.371348i
\(83\) 1.51346 0.166124 0.0830620 0.996544i \(-0.473530\pi\)
0.0830620 + 0.996544i \(0.473530\pi\)
\(84\) 0.807754 + 3.01458i 0.0881332 + 0.328918i
\(85\) 0.0901454 0.173535i 0.00977764 0.0188225i
\(86\) 7.12397 7.12397i 0.768197 0.768197i
\(87\) 8.88272 2.38012i 0.952328 0.255176i
\(88\) −0.168435 + 0.628610i −0.0179553 + 0.0670100i
\(89\) 4.84513 18.0823i 0.513583 1.91672i 0.136116 0.990693i \(-0.456538\pi\)
0.377466 0.926023i \(-0.376795\pi\)
\(90\) −1.64991 1.50924i −0.173916 0.159087i
\(91\) 0.0542094 11.2525i 0.00568268 1.17958i
\(92\) −1.66994 1.66994i −0.174103 0.174103i
\(93\) −0.993907 1.72150i −0.103063 0.178511i
\(94\) −4.10687 + 2.37110i −0.423592 + 0.244561i
\(95\) −1.05262 + 2.02635i −0.107996 + 0.207899i
\(96\) 0.707107 + 0.707107i 0.0721688 + 0.0721688i
\(97\) 4.43146 + 2.55851i 0.449947 + 0.259777i 0.707808 0.706405i \(-0.249684\pi\)
−0.257861 + 0.966182i \(0.583018\pi\)
\(98\) 2.37305 + 1.37008i 0.239714 + 0.138399i
\(99\) 0.460174 + 0.460174i 0.0462493 + 0.0462493i
\(100\) 4.53520 + 2.10523i 0.453520 + 0.210523i
\(101\) 3.59747 2.07700i 0.357961 0.206669i −0.310225 0.950663i \(-0.600404\pi\)
0.668186 + 0.743994i \(0.267071\pi\)
\(102\) 0.0437267 + 0.0757369i 0.00432959 + 0.00749908i
\(103\) −8.89096 8.89096i −0.876052 0.876052i 0.117071 0.993124i \(-0.462649\pi\)
−0.993124 + 0.117071i \(0.962649\pi\)
\(104\) −1.78771 3.13115i −0.175300 0.307034i
\(105\) −6.97169 + 0.310447i −0.680367 + 0.0302965i
\(106\) −2.23632 + 8.34606i −0.217211 + 0.810641i
\(107\) −0.860303 + 3.21069i −0.0831686 + 0.310389i −0.994961 0.100262i \(-0.968032\pi\)
0.911792 + 0.410651i \(0.134699\pi\)
\(108\) 0.965926 0.258819i 0.0929463 0.0249049i
\(109\) 8.53927 8.53927i 0.817914 0.817914i −0.167891 0.985805i \(-0.553696\pi\)
0.985805 + 0.167891i \(0.0536958\pi\)
\(110\) −1.29136 0.670817i −0.123126 0.0639599i
\(111\) 1.96725 + 7.34186i 0.186723 + 0.696859i
\(112\) 3.12092 0.294899
\(113\) 1.76817 + 6.59892i 0.166336 + 0.620774i 0.997866 + 0.0652944i \(0.0207986\pi\)
−0.831530 + 0.555480i \(0.812535\pi\)
\(114\) −0.510593 0.884372i −0.0478214 0.0828291i
\(115\) 4.45133 2.84124i 0.415089 0.264947i
\(116\) 9.19607i 0.853834i
\(117\) −3.60551 0.0173697i −0.333329 0.00160583i
\(118\) 9.36178 9.36178i 0.861822 0.861822i
\(119\) 0.263636 + 0.0706409i 0.0241674 + 0.00647564i
\(120\) −1.88484 + 1.20307i −0.172061 + 0.109825i
\(121\) −9.15950 5.28824i −0.832682 0.480749i
\(122\) 6.80435i 0.616037i
\(123\) −1.74066 + 3.01491i −0.156950 + 0.271845i
\(124\) −1.92008 + 0.514484i −0.172428 + 0.0462020i
\(125\) −6.78307 + 8.88763i −0.606696 + 0.794934i
\(126\) 1.56046 2.70280i 0.139017 0.240784i
\(127\) 5.79169 + 1.55188i 0.513930 + 0.137707i 0.506457 0.862265i \(-0.330955\pi\)
0.00747241 + 0.999972i \(0.497621\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) −10.0748 −0.887038
\(130\) 7.69863 2.39397i 0.675214 0.209965i
\(131\) −4.63651 −0.405094 −0.202547 0.979273i \(-0.564922\pi\)
−0.202547 + 0.979273i \(0.564922\pi\)
\(132\) 0.563596 0.325392i 0.0490547 0.0283218i
\(133\) −3.07844 0.824867i −0.266935 0.0715250i
\(134\) −5.42255 + 9.39213i −0.468437 + 0.811357i
\(135\) 0.0994727 + 2.23385i 0.00856125 + 0.192260i
\(136\) 0.0844736 0.0226346i 0.00724355 0.00194090i
\(137\) 5.30261 9.18440i 0.453033 0.784676i −0.545540 0.838085i \(-0.683675\pi\)
0.998573 + 0.0534088i \(0.0170086\pi\)
\(138\) 2.36165i 0.201037i
\(139\) −14.2433 8.22339i −1.20810 0.697499i −0.245759 0.969331i \(-0.579037\pi\)
−0.962345 + 0.271832i \(0.912371\pi\)
\(140\) −1.50454 + 6.81448i −0.127157 + 0.575929i
\(141\) 4.58062 + 1.22737i 0.385758 + 0.103364i
\(142\) −9.52248 + 9.52248i −0.799108 + 0.799108i
\(143\) −2.26938 + 0.596377i −0.189775 + 0.0498715i
\(144\) 1.00000i 0.0833333i
\(145\) 20.0795 + 4.43325i 1.66751 + 0.368161i
\(146\) −1.22580 2.12314i −0.101448 0.175712i
\(147\) −0.709205 2.64679i −0.0584943 0.218304i
\(148\) 7.60086 0.624786
\(149\) 3.53174 + 13.1806i 0.289331 + 1.07980i 0.945616 + 0.325286i \(0.105461\pi\)
−0.656284 + 0.754514i \(0.727873\pi\)
\(150\) −1.71825 4.69549i −0.140294 0.383385i
\(151\) −11.3033 + 11.3033i −0.919852 + 0.919852i −0.997018 0.0771662i \(-0.975413\pi\)
0.0771662 + 0.997018i \(0.475413\pi\)
\(152\) −0.986389 + 0.264302i −0.0800067 + 0.0214377i
\(153\) 0.0226346 0.0844736i 0.00182990 0.00682928i
\(154\) 0.525674 1.96184i 0.0423600 0.158090i
\(155\) −0.197733 4.44049i −0.0158823 0.356668i
\(156\) −0.949952 + 3.47816i −0.0760571 + 0.278476i
\(157\) 2.26173 + 2.26173i 0.180506 + 0.180506i 0.791576 0.611070i \(-0.209261\pi\)
−0.611070 + 0.791576i \(0.709261\pi\)
\(158\) 5.22163 + 9.04413i 0.415411 + 0.719513i
\(159\) 7.48287 4.32024i 0.593430 0.342617i
\(160\) 0.674247 + 2.13199i 0.0533039 + 0.168549i
\(161\) 5.21175 + 5.21175i 0.410743 + 0.410743i
\(162\) −0.866025 0.500000i −0.0680414 0.0392837i
\(163\) −13.7097 7.91529i −1.07383 0.619973i −0.144601 0.989490i \(-0.546190\pi\)
−0.929224 + 0.369517i \(0.879523\pi\)
\(164\) 2.46166 + 2.46166i 0.192224 + 0.192224i
\(165\) 0.438790 + 1.38747i 0.0341597 + 0.108014i
\(166\) −1.31070 + 0.756731i −0.101730 + 0.0587337i
\(167\) −8.97024 15.5369i −0.694138 1.20228i −0.970470 0.241221i \(-0.922452\pi\)
0.276332 0.961062i \(-0.410881\pi\)
\(168\) −2.20683 2.20683i −0.170260 0.170260i
\(169\) 6.60817 11.1952i 0.508321 0.861168i
\(170\) 0.00869924 + 0.195358i 0.000667201 + 0.0149833i
\(171\) −0.264302 + 0.986389i −0.0202117 + 0.0754311i
\(172\) −2.60755 + 9.73152i −0.198824 + 0.742021i
\(173\) 0.317409 0.0850494i 0.0241321 0.00646619i −0.246733 0.969084i \(-0.579357\pi\)
0.270865 + 0.962617i \(0.412690\pi\)
\(174\) −6.50261 + 6.50261i −0.492961 + 0.492961i
\(175\) −14.1540 6.57026i −1.06994 0.496665i
\(176\) −0.168435 0.628610i −0.0126963 0.0473832i
\(177\) −13.2396 −0.995147
\(178\) 4.84513 + 18.0823i 0.363158 + 1.35532i
\(179\) 10.9575 + 18.9789i 0.819001 + 1.41855i 0.906419 + 0.422380i \(0.138805\pi\)
−0.0874180 + 0.996172i \(0.527862\pi\)
\(180\) 2.18348 + 0.482081i 0.162747 + 0.0359322i
\(181\) 6.11180i 0.454286i −0.973861 0.227143i \(-0.927061\pi\)
0.973861 0.227143i \(-0.0729385\pi\)
\(182\) 5.57931 + 9.77207i 0.413566 + 0.724354i
\(183\) 4.81140 4.81140i 0.355669 0.355669i
\(184\) 2.28118 + 0.611240i 0.168171 + 0.0450612i
\(185\) −3.66423 + 16.5963i −0.269399 + 1.22019i
\(186\) 1.72150 + 0.993907i 0.126226 + 0.0728768i
\(187\) 0.0569134i 0.00416192i
\(188\) 2.37110 4.10687i 0.172931 0.299525i
\(189\) −3.01458 + 0.807754i −0.219278 + 0.0587555i
\(190\) −0.101580 2.28118i −0.00736939 0.165494i
\(191\) −2.41078 + 4.17559i −0.174438 + 0.302135i −0.939966 0.341267i \(-0.889144\pi\)
0.765529 + 0.643401i \(0.222477\pi\)
\(192\) −0.965926 0.258819i −0.0697097 0.0186787i
\(193\) −2.65297 + 1.53169i −0.190965 + 0.110254i −0.592434 0.805619i \(-0.701833\pi\)
0.401469 + 0.915872i \(0.368500\pi\)
\(194\) −5.11701 −0.367380
\(195\) −7.13655 3.75096i −0.511059 0.268612i
\(196\) −2.74016 −0.195726
\(197\) −1.78952 + 1.03318i −0.127498 + 0.0736108i −0.562392 0.826871i \(-0.690119\pi\)
0.434895 + 0.900481i \(0.356786\pi\)
\(198\) −0.628610 0.168435i −0.0446733 0.0119702i
\(199\) −2.09521 + 3.62902i −0.148526 + 0.257254i −0.930683 0.365827i \(-0.880786\pi\)
0.782157 + 0.623081i \(0.214119\pi\)
\(200\) −4.98021 + 0.444415i −0.352154 + 0.0314249i
\(201\) 10.4756 2.80692i 0.738889 0.197985i
\(202\) −2.07700 + 3.59747i −0.146137 + 0.253117i
\(203\) 28.7002i 2.01436i
\(204\) −0.0757369 0.0437267i −0.00530265 0.00306148i
\(205\) −6.56172 + 4.18828i −0.458291 + 0.292522i
\(206\) 12.1453 + 3.25432i 0.846202 + 0.226739i
\(207\) 1.66994 1.66994i 0.116069 0.116069i
\(208\) 3.11378 + 1.81780i 0.215902 + 0.126042i
\(209\) 0.664572i 0.0459694i
\(210\) 5.88243 3.75470i 0.405927 0.259099i
\(211\) 6.34508 + 10.9900i 0.436813 + 0.756583i 0.997442 0.0714847i \(-0.0227737\pi\)
−0.560628 + 0.828068i \(0.689440\pi\)
\(212\) −2.23632 8.34606i −0.153591 0.573210i
\(213\) 13.4668 0.922731
\(214\) −0.860303 3.21069i −0.0588091 0.219478i
\(215\) −19.9916 10.3849i −1.36341 0.708246i
\(216\) −0.707107 + 0.707107i −0.0481125 + 0.0481125i
\(217\) 5.99242 1.60567i 0.406792 0.109000i
\(218\) −3.12559 + 11.6649i −0.211692 + 0.790044i
\(219\) −0.634519 + 2.36806i −0.0428768 + 0.160018i
\(220\) 1.45376 0.0647353i 0.0980124 0.00436445i
\(221\) 0.221887 + 0.224035i 0.0149257 + 0.0150702i
\(222\) −5.37462 5.37462i −0.360721 0.360721i
\(223\) 7.16344 + 12.4074i 0.479699 + 0.830863i 0.999729 0.0232849i \(-0.00741247\pi\)
−0.520030 + 0.854148i \(0.674079\pi\)
\(224\) −2.70280 + 1.56046i −0.180588 + 0.104263i
\(225\) −2.10523 + 4.53520i −0.140349 + 0.302346i
\(226\) −4.83074 4.83074i −0.321336 0.321336i
\(227\) −14.7394 8.50979i −0.978288 0.564815i −0.0765352 0.997067i \(-0.524386\pi\)
−0.901753 + 0.432252i \(0.857719\pi\)
\(228\) 0.884372 + 0.510593i 0.0585690 + 0.0338148i
\(229\) 11.8234 + 11.8234i 0.781309 + 0.781309i 0.980052 0.198742i \(-0.0636857\pi\)
−0.198742 + 0.980052i \(0.563686\pi\)
\(230\) −2.43434 + 4.68625i −0.160516 + 0.309002i
\(231\) −1.75894 + 1.01552i −0.115730 + 0.0668166i
\(232\) 4.59804 + 7.96403i 0.301876 + 0.522864i
\(233\) 1.14372 + 1.14372i 0.0749275 + 0.0749275i 0.743577 0.668650i \(-0.233127\pi\)
−0.668650 + 0.743577i \(0.733127\pi\)
\(234\) 3.13115 1.78771i 0.204690 0.116866i
\(235\) 7.82423 + 7.15711i 0.510396 + 0.466878i
\(236\) −3.42665 + 12.7884i −0.223056 + 0.832456i
\(237\) 2.70292 10.0874i 0.175573 0.655248i
\(238\) −0.263636 + 0.0706409i −0.0170890 + 0.00457897i
\(239\) −0.186214 + 0.186214i −0.0120452 + 0.0120452i −0.713104 0.701059i \(-0.752711\pi\)
0.701059 + 0.713104i \(0.252711\pi\)
\(240\) 1.03078 1.98431i 0.0665366 0.128087i
\(241\) 6.98567 + 26.0709i 0.449987 + 1.67937i 0.702423 + 0.711759i \(0.252101\pi\)
−0.252437 + 0.967613i \(0.581232\pi\)
\(242\) 10.5765 0.679882
\(243\) 0.258819 + 0.965926i 0.0166032 + 0.0619642i
\(244\) −3.40217 5.89274i −0.217802 0.377244i
\(245\) 1.32098 5.98309i 0.0843942 0.382246i
\(246\) 3.48132i 0.221961i
\(247\) −2.59095 2.61603i −0.164858 0.166454i
\(248\) 1.40560 1.40560i 0.0892555 0.0892555i
\(249\) 1.46189 + 0.391713i 0.0926436 + 0.0248238i
\(250\) 1.43049 11.0884i 0.0904722 0.701295i
\(251\) −1.82325 1.05266i −0.115083 0.0664430i 0.441354 0.897333i \(-0.354498\pi\)
−0.556436 + 0.830890i \(0.687832\pi\)
\(252\) 3.12092i 0.196600i
\(253\) 0.768463 1.33102i 0.0483128 0.0836803i
\(254\) −5.79169 + 1.55188i −0.363403 + 0.0973736i
\(255\) 0.131988 0.144291i 0.00826541 0.00903582i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −11.1229 2.98037i −0.693827 0.185910i −0.105363 0.994434i \(-0.533600\pi\)
−0.588464 + 0.808523i \(0.700267\pi\)
\(258\) 8.72504 5.03741i 0.543197 0.313615i
\(259\) −23.7217 −1.47399
\(260\) −5.47022 + 5.92256i −0.339249 + 0.367301i
\(261\) 9.19607 0.569223
\(262\) 4.01534 2.31825i 0.248068 0.143222i
\(263\) 0.721608 + 0.193354i 0.0444963 + 0.0119227i 0.280999 0.959708i \(-0.409334\pi\)
−0.236502 + 0.971631i \(0.576001\pi\)
\(264\) −0.325392 + 0.563596i −0.0200265 + 0.0346869i
\(265\) 19.3016 0.859491i 1.18569 0.0527981i
\(266\) 3.07844 0.824867i 0.188752 0.0505758i
\(267\) 9.36007 16.2121i 0.572827 0.992165i
\(268\) 10.8451i 0.662470i
\(269\) 13.5976 + 7.85055i 0.829058 + 0.478657i 0.853530 0.521044i \(-0.174457\pi\)
−0.0244723 + 0.999701i \(0.507791\pi\)
\(270\) −1.20307 1.88484i −0.0732167 0.114708i
\(271\) −8.22569 2.20407i −0.499675 0.133888i 0.000173978 1.00000i \(-0.499945\pi\)
−0.499849 + 0.866112i \(0.666611\pi\)
\(272\) −0.0618390 + 0.0618390i −0.00374954 + 0.00374954i
\(273\) 2.96473 10.8551i 0.179433 0.656978i
\(274\) 10.6052i 0.640685i
\(275\) −0.559480 + 3.20546i −0.0337379 + 0.193297i
\(276\) −1.18083 2.04525i −0.0710773 0.123110i
\(277\) 1.02469 + 3.82420i 0.0615677 + 0.229774i 0.989853 0.142095i \(-0.0453838\pi\)
−0.928285 + 0.371869i \(0.878717\pi\)
\(278\) 16.4468 0.986413
\(279\) −0.514484 1.92008i −0.0308014 0.114952i
\(280\) −2.10427 6.65378i −0.125754 0.397640i
\(281\) −16.6714 + 16.6714i −0.994534 + 0.994534i −0.999985 0.00545067i \(-0.998265\pi\)
0.00545067 + 0.999985i \(0.498265\pi\)
\(282\) −4.58062 + 1.22737i −0.272772 + 0.0730891i
\(283\) 8.00692 29.8822i 0.475962 1.77631i −0.141743 0.989903i \(-0.545271\pi\)
0.617705 0.786410i \(-0.288063\pi\)
\(284\) 3.48547 13.0079i 0.206824 0.771879i
\(285\) −1.54121 + 1.68487i −0.0912934 + 0.0998028i
\(286\) 1.66716 1.65117i 0.0985810 0.0976357i
\(287\) −7.68266 7.68266i −0.453493 0.453493i
\(288\) 0.500000 + 0.866025i 0.0294628 + 0.0510310i
\(289\) 14.7158 8.49618i 0.865636 0.499775i
\(290\) −19.6060 + 6.20043i −1.15130 + 0.364102i
\(291\) 3.61828 + 3.61828i 0.212107 + 0.212107i
\(292\) 2.12314 + 1.22580i 0.124247 + 0.0717343i
\(293\) −17.6162 10.1707i −1.02915 0.594178i −0.112407 0.993662i \(-0.535856\pi\)
−0.916740 + 0.399484i \(0.869189\pi\)
\(294\) 1.93758 + 1.93758i 0.113002 + 0.113002i
\(295\) −26.2714 13.6471i −1.52958 0.794565i
\(296\) −6.58253 + 3.80043i −0.382602 + 0.220895i
\(297\) 0.325392 + 0.563596i 0.0188812 + 0.0327032i
\(298\) −9.64889 9.64889i −0.558945 0.558945i
\(299\) 2.16421 + 8.23543i 0.125159 + 0.476267i
\(300\) 3.83579 + 3.20729i 0.221459 + 0.185173i
\(301\) 8.13797 30.3713i 0.469065 1.75057i
\(302\) 4.13731 15.4406i 0.238075 0.888509i
\(303\) 4.01245 1.07513i 0.230509 0.0617648i
\(304\) 0.722087 0.722087i 0.0414145 0.0414145i
\(305\) 14.5068 4.58781i 0.830658 0.262697i
\(306\) 0.0226346 + 0.0844736i 0.00129394 + 0.00482903i
\(307\) 14.2902 0.815585 0.407792 0.913075i \(-0.366299\pi\)
0.407792 + 0.913075i \(0.366299\pi\)
\(308\) 0.525674 + 1.96184i 0.0299531 + 0.111786i
\(309\) −6.28686 10.8892i −0.357647 0.619463i
\(310\) 2.39149 + 3.74671i 0.135827 + 0.212799i
\(311\) 24.6571i 1.39818i −0.715034 0.699089i \(-0.753589\pi\)
0.715034 0.699089i \(-0.246411\pi\)
\(312\) −0.916397 3.48715i −0.0518807 0.197421i
\(313\) 3.71347 3.71347i 0.209898 0.209898i −0.594326 0.804224i \(-0.702581\pi\)
0.804224 + 0.594326i \(0.202581\pi\)
\(314\) −3.08959 0.827852i −0.174355 0.0467184i
\(315\) −6.81448 1.50454i −0.383953 0.0847710i
\(316\) −9.04413 5.22163i −0.508772 0.293740i
\(317\) 10.2414i 0.575212i −0.957749 0.287606i \(-0.907141\pi\)
0.957749 0.287606i \(-0.0928593\pi\)
\(318\) −4.32024 + 7.48287i −0.242267 + 0.419619i
\(319\) 5.78074 1.54894i 0.323659 0.0867243i
\(320\) −1.64991 1.50924i −0.0922329 0.0843688i
\(321\) −1.66198 + 2.87863i −0.0927625 + 0.160669i
\(322\) −7.11938 1.90763i −0.396748 0.106308i
\(323\) 0.0773414 0.0446531i 0.00430339 0.00248457i
\(324\) 1.00000 0.0555556
\(325\) −10.2947 14.7993i −0.571048 0.820917i
\(326\) 15.8306 0.876775
\(327\) 10.4584 6.03818i 0.578353 0.333912i
\(328\) −3.36270 0.901032i −0.185674 0.0497512i
\(329\) −7.40003 + 12.8172i −0.407977 + 0.706637i
\(330\) −1.07374 0.982187i −0.0591073 0.0540676i
\(331\) −22.3557 + 5.99019i −1.22878 + 0.329251i −0.814105 0.580718i \(-0.802772\pi\)
−0.414676 + 0.909969i \(0.636105\pi\)
\(332\) 0.756731 1.31070i 0.0415310 0.0719338i
\(333\) 7.60086i 0.416524i
\(334\) 15.5369 + 8.97024i 0.850142 + 0.490830i
\(335\) 23.6801 + 5.22822i 1.29378 + 0.285648i
\(336\) 3.01458 + 0.807754i 0.164459 + 0.0440666i
\(337\) −18.6883 + 18.6883i −1.01801 + 1.01801i −0.0181791 + 0.999835i \(0.505787\pi\)
−0.999835 + 0.0181791i \(0.994213\pi\)
\(338\) −0.125253 + 12.9994i −0.00681286 + 0.707074i
\(339\) 6.83170i 0.371047i
\(340\) −0.105213 0.164836i −0.00570597 0.00893947i
\(341\) −0.646819 1.12032i −0.0350272 0.0606690i
\(342\) −0.264302 0.986389i −0.0142918 0.0533378i
\(343\) −13.2946 −0.717843
\(344\) −2.60755 9.73152i −0.140590 0.524688i
\(345\) 5.03502 1.59234i 0.271076 0.0857285i
\(346\) −0.232359 + 0.232359i −0.0124917 + 0.0124917i
\(347\) 19.1265 5.12493i 1.02676 0.275121i 0.294146 0.955761i \(-0.404965\pi\)
0.732618 + 0.680640i \(0.238298\pi\)
\(348\) 2.38012 8.88272i 0.127588 0.476164i
\(349\) −0.0805064 + 0.300454i −0.00430941 + 0.0160829i −0.968047 0.250769i \(-0.919317\pi\)
0.963738 + 0.266852i \(0.0859833\pi\)
\(350\) 15.5429 1.38699i 0.830800 0.0741375i
\(351\) −3.47816 0.949952i −0.185650 0.0507047i
\(352\) 0.460174 + 0.460174i 0.0245274 + 0.0245274i
\(353\) −14.8449 25.7121i −0.790114 1.36852i −0.925896 0.377779i \(-0.876688\pi\)
0.135782 0.990739i \(-0.456645\pi\)
\(354\) 11.4658 6.61978i 0.609400 0.351837i
\(355\) 26.7223 + 13.8813i 1.41827 + 0.736745i
\(356\) −13.2371 13.2371i −0.701567 0.701567i
\(357\) 0.236369 + 0.136468i 0.0125100 + 0.00722264i
\(358\) −18.9789 10.9575i −1.00307 0.579121i
\(359\) 24.4058 + 24.4058i 1.28809 + 1.28809i 0.935946 + 0.352143i \(0.114547\pi\)
0.352143 + 0.935946i \(0.385453\pi\)
\(360\) −2.13199 + 0.674247i −0.112366 + 0.0355360i
\(361\) 15.5514 8.97859i 0.818493 0.472557i
\(362\) 3.05590 + 5.29297i 0.160614 + 0.278192i
\(363\) −7.47870 7.47870i −0.392530 0.392530i
\(364\) −9.71786 5.67320i −0.509354 0.297357i
\(365\) −3.70003 + 4.04491i −0.193669 + 0.211720i
\(366\) −1.76110 + 6.57250i −0.0920539 + 0.343550i
\(367\) −7.97094 + 29.7480i −0.416080 + 1.55283i 0.366584 + 0.930385i \(0.380527\pi\)
−0.782663 + 0.622445i \(0.786139\pi\)
\(368\) −2.28118 + 0.611240i −0.118915 + 0.0318631i
\(369\) −2.46166 + 2.46166i −0.128149 + 0.128149i
\(370\) −5.12486 16.2050i −0.266429 0.842456i
\(371\) 6.97938 + 26.0474i 0.362351 + 1.35231i
\(372\) −1.98781 −0.103063
\(373\) 0.470335 + 1.75531i 0.0243530 + 0.0908867i 0.977033 0.213089i \(-0.0683525\pi\)
−0.952680 + 0.303976i \(0.901686\pi\)
\(374\) 0.0284567 + 0.0492884i 0.00147146 + 0.00254864i
\(375\) −8.85223 + 6.82921i −0.457127 + 0.352659i
\(376\) 4.74221i 0.244561i
\(377\) −16.7166 + 28.6345i −0.860948 + 1.47475i
\(378\) 2.20683 2.20683i 0.113507 0.113507i
\(379\) −6.00997 1.61037i −0.308712 0.0827190i 0.101137 0.994872i \(-0.467752\pi\)
−0.409849 + 0.912153i \(0.634419\pi\)
\(380\) 1.22856 + 1.92477i 0.0630238 + 0.0987386i
\(381\) 5.19269 + 2.99800i 0.266030 + 0.153592i
\(382\) 4.82155i 0.246692i
\(383\) −0.531011 + 0.919738i −0.0271334 + 0.0469964i −0.879273 0.476318i \(-0.841971\pi\)
0.852140 + 0.523314i \(0.175305\pi\)
\(384\) 0.965926 0.258819i 0.0492922 0.0132078i
\(385\) −4.53707 + 0.202034i −0.231230 + 0.0102966i
\(386\) 1.53169 2.65297i 0.0779611 0.135033i
\(387\) −9.73152 2.60755i −0.494681 0.132549i
\(388\) 4.43146 2.55851i 0.224974 0.129889i
\(389\) 32.8035 1.66320 0.831602 0.555372i \(-0.187424\pi\)
0.831602 + 0.555372i \(0.187424\pi\)
\(390\) 8.05591 0.319849i 0.407927 0.0161962i
\(391\) −0.206535 −0.0104449
\(392\) 2.37305 1.37008i 0.119857 0.0691995i
\(393\) −4.47852 1.20002i −0.225912 0.0605329i
\(394\) 1.03318 1.78952i 0.0520507 0.0901545i
\(395\) 15.7614 17.2305i 0.793040 0.866959i
\(396\) 0.628610 0.168435i 0.0315888 0.00846420i
\(397\) 18.6981 32.3861i 0.938431 1.62541i 0.170031 0.985439i \(-0.445613\pi\)
0.768399 0.639971i \(-0.221054\pi\)
\(398\) 4.19043i 0.210047i
\(399\) −2.76006 1.59352i −0.138176 0.0797758i
\(400\) 4.09078 2.87498i 0.204539 0.143749i
\(401\) −0.873330 0.234008i −0.0436120 0.0116858i 0.236947 0.971523i \(-0.423853\pi\)
−0.280559 + 0.959837i \(0.590520\pi\)
\(402\) −7.66865 + 7.66865i −0.382477 + 0.382477i
\(403\) 6.91393 + 1.88833i 0.344408 + 0.0940643i
\(404\) 4.15400i 0.206669i
\(405\) −0.482081 + 2.18348i −0.0239548 + 0.108498i
\(406\) −14.3501 24.8551i −0.712184 1.23354i
\(407\) 1.28025 + 4.77797i 0.0634598 + 0.236835i
\(408\) 0.0874535 0.00432959
\(409\) 6.85691 + 25.5903i 0.339052 + 1.26536i 0.899409 + 0.437109i \(0.143998\pi\)
−0.560356 + 0.828252i \(0.689336\pi\)
\(410\) 3.58848 6.90802i 0.177222 0.341163i
\(411\) 7.49903 7.49903i 0.369900 0.369900i
\(412\) −12.1453 + 3.25432i −0.598355 + 0.160329i
\(413\) 10.6943 39.9117i 0.526233 1.96393i
\(414\) −0.611240 + 2.28118i −0.0300408 + 0.112114i
\(415\) 2.49708 + 2.28417i 0.122577 + 0.112126i
\(416\) −3.60551 0.0173697i −0.176775 0.000851617i
\(417\) −11.6296 11.6296i −0.569506 0.569506i
\(418\) −0.332286 0.575536i −0.0162526 0.0281504i
\(419\) −9.10788 + 5.25844i −0.444949 + 0.256891i −0.705695 0.708516i \(-0.749365\pi\)
0.260746 + 0.965408i \(0.416032\pi\)
\(420\) −3.21699 + 6.19288i −0.156973 + 0.302182i
\(421\) 2.06316 + 2.06316i 0.100552 + 0.100552i 0.755593 0.655041i \(-0.227349\pi\)
−0.655041 + 0.755593i \(0.727349\pi\)
\(422\) −10.9900 6.34508i −0.534985 0.308874i
\(423\) 4.10687 + 2.37110i 0.199683 + 0.115287i
\(424\) 6.10974 + 6.10974i 0.296715 + 0.296715i
\(425\) 0.410637 0.150267i 0.0199188 0.00728900i
\(426\) −11.6626 + 6.73341i −0.565055 + 0.326235i
\(427\) 10.6179 + 18.3908i 0.513837 + 0.889992i
\(428\) 2.35039 + 2.35039i 0.113610 + 0.113610i
\(429\) −2.34641 0.0113039i −0.113286 0.000545758i
\(430\) 22.5057 1.00217i 1.08532 0.0483289i
\(431\) −4.66334 + 17.4038i −0.224625 + 0.838313i 0.757929 + 0.652337i \(0.226211\pi\)
−0.982554 + 0.185976i \(0.940455\pi\)
\(432\) 0.258819 0.965926i 0.0124524 0.0464731i
\(433\) −34.0900 + 9.13438i −1.63826 + 0.438970i −0.956292 0.292413i \(-0.905542\pi\)
−0.681967 + 0.731383i \(0.738875\pi\)
\(434\) −4.38676 + 4.38676i −0.210571 + 0.210571i
\(435\) 18.2479 + 9.47914i 0.874918 + 0.454490i
\(436\) −3.12559 11.6649i −0.149689 0.558646i
\(437\) 2.41168 0.115366
\(438\) −0.634519 2.36806i −0.0303185 0.113150i
\(439\) 2.75416 + 4.77035i 0.131449 + 0.227677i 0.924235 0.381823i \(-0.124704\pi\)
−0.792786 + 0.609500i \(0.791370\pi\)
\(440\) −1.22662 + 0.782942i −0.0584770 + 0.0373253i
\(441\) 2.74016i 0.130484i
\(442\) −0.304177 0.0830766i −0.0144682 0.00395155i
\(443\) 1.58762 1.58762i 0.0754302 0.0754302i −0.668385 0.743815i \(-0.733014\pi\)
0.743815 + 0.668385i \(0.233014\pi\)
\(444\) 7.34186 + 1.96725i 0.348429 + 0.0933614i
\(445\) 35.2844 22.5217i 1.67264 1.06763i
\(446\) −12.4074 7.16344i −0.587509 0.339199i
\(447\) 13.6456i 0.645415i
\(448\) 1.56046 2.70280i 0.0737249 0.127695i
\(449\) −27.8644 + 7.46623i −1.31500 + 0.352353i −0.847103 0.531429i \(-0.821655\pi\)
−0.467898 + 0.883782i \(0.654989\pi\)
\(450\) −0.444415 4.98021i −0.0209499 0.234769i
\(451\) −1.13279 + 1.96206i −0.0533412 + 0.0923897i
\(452\) 6.59892 + 1.76817i 0.310387 + 0.0831679i
\(453\) −13.8437 + 7.99266i −0.650434 + 0.375528i
\(454\) 17.0196 0.798769
\(455\) 17.0721 18.4838i 0.800354 0.866536i
\(456\) −1.02119 −0.0478214
\(457\) −34.7545 + 20.0655i −1.62575 + 0.938627i −0.640407 + 0.768036i \(0.721234\pi\)
−0.985342 + 0.170591i \(0.945432\pi\)
\(458\) −16.1510 4.32765i −0.754687 0.202218i
\(459\) 0.0437267 0.0757369i 0.00204099 0.00353510i
\(460\) −0.234920 5.27558i −0.0109532 0.245975i
\(461\) −16.2685 + 4.35912i −0.757698 + 0.203025i −0.616930 0.787018i \(-0.711624\pi\)
−0.140768 + 0.990043i \(0.544957\pi\)
\(462\) 1.01552 1.75894i 0.0472465 0.0818333i
\(463\) 38.5945i 1.79364i 0.442399 + 0.896818i \(0.354128\pi\)
−0.442399 + 0.896818i \(0.645872\pi\)
\(464\) −7.96403 4.59804i −0.369721 0.213458i
\(465\) 0.958287 4.34036i 0.0444395 0.201279i
\(466\) −1.56235 0.418630i −0.0723744 0.0193927i
\(467\) 15.2256 15.2256i 0.704556 0.704556i −0.260829 0.965385i \(-0.583996\pi\)
0.965385 + 0.260829i \(0.0839959\pi\)
\(468\) −1.81780 + 3.11378i −0.0840277 + 0.143934i
\(469\) 33.8467i 1.56290i
\(470\) −10.3545 2.28613i −0.477619 0.105451i
\(471\) 1.59929 + 2.77005i 0.0736913 + 0.127637i
\(472\) −3.42665 12.7884i −0.157724 0.588635i
\(473\) −6.55653 −0.301470
\(474\) 2.70292 + 10.0874i 0.124149 + 0.463331i
\(475\) −4.79497 + 1.75465i −0.220008 + 0.0805087i
\(476\) 0.192995 0.192995i 0.00884589 0.00884589i
\(477\) 8.34606 2.23632i 0.382140 0.102394i
\(478\) 0.0681589 0.254373i 0.00311752 0.0116347i
\(479\) 3.98679 14.8789i 0.182161 0.679835i −0.813059 0.582181i \(-0.802200\pi\)
0.995220 0.0976537i \(-0.0311338\pi\)
\(480\) 0.0994727 + 2.23385i 0.00454029 + 0.101961i
\(481\) −23.6674 13.8168i −1.07914 0.629992i
\(482\) −19.0852 19.0852i −0.869307 0.869307i
\(483\) 3.68526 + 6.38306i 0.167685 + 0.290439i
\(484\) −9.15950 + 5.28824i −0.416341 + 0.240375i
\(485\) 3.45013 + 10.9094i 0.156662 + 0.495372i
\(486\) −0.707107 0.707107i −0.0320750 0.0320750i
\(487\) −16.3277 9.42678i −0.739877 0.427168i 0.0821477 0.996620i \(-0.473822\pi\)
−0.822025 + 0.569452i \(0.807155\pi\)
\(488\) 5.89274 + 3.40217i 0.266752 + 0.154009i
\(489\) −11.1939 11.1939i −0.506206 0.506206i
\(490\) 1.84754 + 5.84200i 0.0834636 + 0.263915i
\(491\) −4.22759 + 2.44080i −0.190789 + 0.110152i −0.592352 0.805680i \(-0.701800\pi\)
0.401563 + 0.915831i \(0.368467\pi\)
\(492\) 1.74066 + 3.01491i 0.0784750 + 0.135923i
\(493\) −0.568676 0.568676i −0.0256119 0.0256119i
\(494\) 3.55184 + 0.970077i 0.159805 + 0.0436458i
\(495\) 0.0647353 + 1.45376i 0.00290964 + 0.0653416i
\(496\) −0.514484 + 1.92008i −0.0231010 + 0.0862142i
\(497\) −10.8779 + 40.5968i −0.487939 + 1.82101i
\(498\) −1.46189 + 0.391713i −0.0655090 + 0.0175531i
\(499\) 6.12464 6.12464i 0.274176 0.274176i −0.556603 0.830779i \(-0.687895\pi\)
0.830779 + 0.556603i \(0.187895\pi\)
\(500\) 4.30538 + 10.3181i 0.192543 + 0.461441i
\(501\) −4.64334 17.3292i −0.207449 0.774211i
\(502\) 2.10531 0.0939646
\(503\) −6.55326 24.4571i −0.292196 1.09049i −0.943419 0.331603i \(-0.892411\pi\)
0.651223 0.758886i \(-0.274256\pi\)
\(504\) −1.56046 2.70280i −0.0695085 0.120392i
\(505\) 9.07018 + 2.00256i 0.403618 + 0.0891129i
\(506\) 1.53693i 0.0683247i
\(507\) 9.28053 9.10339i 0.412163 0.404296i
\(508\) 4.23981 4.23981i 0.188111 0.188111i
\(509\) −11.3870 3.05113i −0.504719 0.135239i −0.00252998 0.999997i \(-0.500805\pi\)
−0.502189 + 0.864758i \(0.667472\pi\)
\(510\) −0.0421596 + 0.190953i −0.00186686 + 0.00845555i
\(511\) −6.62616 3.82562i −0.293124 0.169235i
\(512\) 1.00000i 0.0441942i
\(513\) −0.510593 + 0.884372i −0.0225432 + 0.0390460i
\(514\) 11.1229 2.98037i 0.490610 0.131458i
\(515\) −1.25074 28.0879i −0.0551143 1.23770i
\(516\) −5.03741 + 8.72504i −0.221759 + 0.384099i
\(517\) 2.98100 + 0.798756i 0.131104 + 0.0351293i
\(518\) 20.5436 11.8608i 0.902633 0.521135i
\(519\) 0.328606 0.0144242
\(520\) 1.77607 7.86420i 0.0778860 0.344868i
\(521\) 7.65452 0.335351 0.167675 0.985842i \(-0.446374\pi\)
0.167675 + 0.985842i \(0.446374\pi\)
\(522\) −7.96403 + 4.59804i −0.348576 + 0.201251i
\(523\) 28.4783 + 7.63073i 1.24527 + 0.333669i 0.820507 0.571636i \(-0.193691\pi\)
0.424762 + 0.905305i \(0.360358\pi\)
\(524\) −2.31825 + 4.01534i −0.101273 + 0.175411i
\(525\) −11.9712 10.0097i −0.522466 0.436860i
\(526\) −0.721608 + 0.193354i −0.0314636 + 0.00843065i
\(527\) −0.0869206 + 0.150551i −0.00378632 + 0.00655810i
\(528\) 0.650785i 0.0283218i
\(529\) 15.0884 + 8.71130i 0.656018 + 0.378752i
\(530\) −16.2859 + 10.3951i −0.707414 + 0.451535i
\(531\) −12.7884 3.42665i −0.554971 0.148704i
\(532\) −2.25358 + 2.25358i −0.0977050 + 0.0977050i
\(533\) −3.19027 12.1399i −0.138186 0.525837i
\(534\) 18.7201i 0.810100i
\(535\) −6.26512 + 3.99896i −0.270865 + 0.172890i
\(536\) 5.42255 + 9.39213i 0.234219 + 0.405678i
\(537\) 5.67201 + 21.1682i 0.244765 + 0.913477i
\(538\) −15.7011 −0.676923
\(539\) −0.461540 1.72249i −0.0198799 0.0741929i
\(540\) 1.98431 + 1.03078i 0.0853911 + 0.0443578i
\(541\) −7.28454 + 7.28454i −0.313187 + 0.313187i −0.846143 0.532956i \(-0.821081\pi\)
0.532956 + 0.846143i \(0.321081\pi\)
\(542\) 8.22569 2.20407i 0.353324 0.0946728i
\(543\) 1.58185 5.90354i 0.0678837 0.253345i
\(544\) 0.0226346 0.0844736i 0.000970452 0.00362178i
\(545\) 26.9768 1.20127i 1.15556 0.0514567i
\(546\) 2.86000 + 10.8831i 0.122397 + 0.465755i
\(547\) −8.12503 8.12503i −0.347401 0.347401i 0.511739 0.859141i \(-0.329001\pi\)
−0.859141 + 0.511739i \(0.829001\pi\)
\(548\) −5.30261 9.18440i −0.226516 0.392338i
\(549\) 5.89274 3.40217i 0.251496 0.145201i
\(550\) −1.11821 3.05575i −0.0476805 0.130298i
\(551\) 6.64036 + 6.64036i 0.282889 + 0.282889i
\(552\) 2.04525 + 1.18083i 0.0870516 + 0.0502593i
\(553\) 28.2260 + 16.2963i 1.20029 + 0.692990i
\(554\) −2.79951 2.79951i −0.118940 0.118940i
\(555\) −7.83482 + 15.0825i −0.332570 + 0.640215i
\(556\) −14.2433 + 8.22339i −0.604052 + 0.348750i
\(557\) −9.06907 15.7081i −0.384269 0.665573i 0.607399 0.794397i \(-0.292213\pi\)
−0.991667 + 0.128824i \(0.958880\pi\)
\(558\) 1.40560 + 1.40560i 0.0595037 + 0.0595037i
\(559\) 25.8093 25.5618i 1.09162 1.08115i
\(560\) 5.14925 + 4.71021i 0.217595 + 0.199043i
\(561\) 0.0147303 0.0549741i 0.000621912 0.00232101i
\(562\) 6.10217 22.7736i 0.257404 0.960647i
\(563\) 33.7469 9.04247i 1.42226 0.381094i 0.535978 0.844232i \(-0.319943\pi\)
0.886286 + 0.463138i \(0.153276\pi\)
\(564\) 3.35325 3.35325i 0.141197 0.141197i
\(565\) −7.04199 + 13.5562i −0.296259 + 0.570315i
\(566\) 8.00692 + 29.8822i 0.336556 + 1.25604i
\(567\) −3.12092 −0.131066
\(568\) 3.48547 + 13.0079i 0.146247 + 0.545801i
\(569\) −12.2319 21.1863i −0.512790 0.888178i −0.999890 0.0148316i \(-0.995279\pi\)
0.487100 0.873346i \(-0.338055\pi\)
\(570\) 0.492294 2.22974i 0.0206199 0.0933936i
\(571\) 22.5270i 0.942727i 0.881939 + 0.471364i \(0.156238\pi\)
−0.881939 + 0.471364i \(0.843762\pi\)
\(572\) −0.618214 + 2.26353i −0.0258488 + 0.0946431i
\(573\) −3.40935 + 3.40935i −0.142428 + 0.142428i
\(574\) 10.4947 + 2.81205i 0.438041 + 0.117373i
\(575\) 11.6324 + 2.03031i 0.485104 + 0.0846699i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 32.1391i 1.33797i 0.743276 + 0.668985i \(0.233271\pi\)
−0.743276 + 0.668985i \(0.766729\pi\)
\(578\) −8.49618 + 14.7158i −0.353394 + 0.612097i
\(579\) −2.95900 + 0.792862i −0.122972 + 0.0329502i
\(580\) 13.8790 15.1727i 0.576296 0.630012i
\(581\) −2.36170 + 4.09058i −0.0979798 + 0.169706i
\(582\) −4.94266 1.32438i −0.204880 0.0548973i
\(583\) 4.86974 2.81154i 0.201684 0.116442i
\(584\) −2.45159 −0.101448
\(585\) −5.92256 5.47022i −0.244868 0.226166i
\(586\) 20.3414 0.840295
\(587\) −17.2872 + 9.98075i −0.713517 + 0.411950i −0.812362 0.583153i \(-0.801819\pi\)
0.0988446 + 0.995103i \(0.468485\pi\)
\(588\) −2.64679 0.709205i −0.109152 0.0292471i
\(589\) 1.01496 1.75797i 0.0418208 0.0724358i
\(590\) 29.5753 1.31698i 1.21759 0.0542190i
\(591\) −1.99594 + 0.534812i −0.0821022 + 0.0219992i
\(592\) 3.80043 6.58253i 0.156197 0.270540i
\(593\) 4.57405i 0.187834i −0.995580 0.0939169i \(-0.970061\pi\)
0.995580 0.0939169i \(-0.0299388\pi\)
\(594\) −0.563596 0.325392i −0.0231246 0.0133510i
\(595\) 0.328361 + 0.514439i 0.0134615 + 0.0210900i
\(596\) 13.1806 + 3.53174i 0.539900 + 0.144666i
\(597\) −2.96308 + 2.96308i −0.121271 + 0.121271i
\(598\) −5.99197 6.04999i −0.245030 0.247402i
\(599\) 26.5385i 1.08433i −0.840271 0.542167i \(-0.817604\pi\)
0.840271 0.542167i \(-0.182396\pi\)
\(600\) −4.92554 0.859701i −0.201084 0.0350972i
\(601\) 13.3672 + 23.1528i 0.545261 + 0.944420i 0.998590 + 0.0530772i \(0.0169029\pi\)
−0.453329 + 0.891343i \(0.649764\pi\)
\(602\) 8.13797 + 30.3713i 0.331679 + 1.23784i
\(603\) 10.8451 0.441647
\(604\) 4.13731 + 15.4406i 0.168345 + 0.628271i
\(605\) −7.13116 22.5490i −0.289923 0.916746i
\(606\) −2.93732 + 2.93732i −0.119320 + 0.119320i
\(607\) 11.7486 3.14802i 0.476860 0.127774i −0.0123802 0.999923i \(-0.503941\pi\)
0.489240 + 0.872149i \(0.337274\pi\)
\(608\) −0.264302 + 0.986389i −0.0107189 + 0.0400034i
\(609\) −7.42817 + 27.7223i −0.301005 + 1.12336i
\(610\) −10.2694 + 11.2266i −0.415795 + 0.454551i
\(611\) −14.8486 + 8.47771i −0.600708 + 0.342971i
\(612\) −0.0618390 0.0618390i −0.00249969 0.00249969i
\(613\) 10.0821 + 17.4627i 0.407212 + 0.705311i 0.994576 0.104011i \(-0.0331678\pi\)
−0.587364 + 0.809323i \(0.699834\pi\)
\(614\) −12.3757 + 7.14510i −0.499442 + 0.288353i
\(615\) −7.42214 + 2.34727i −0.299290 + 0.0946511i
\(616\) −1.43617 1.43617i −0.0578649 0.0578649i
\(617\) −32.6028 18.8232i −1.31254 0.757794i −0.330023 0.943973i \(-0.607056\pi\)
−0.982516 + 0.186179i \(0.940390\pi\)
\(618\) 10.8892 + 6.28686i 0.438026 + 0.252895i
\(619\) −27.2529 27.2529i −1.09539 1.09539i −0.994943 0.100442i \(-0.967974\pi\)
−0.100442 0.994943i \(-0.532026\pi\)
\(620\) −3.94444 2.04900i −0.158413 0.0822899i
\(621\) 2.04525 1.18083i 0.0820730 0.0473849i
\(622\) 12.3286 + 21.3537i 0.494331 + 0.856206i
\(623\) 41.3121 + 41.3121i 1.65513 + 1.65513i
\(624\) 2.53720 + 2.56176i 0.101569 + 0.102553i
\(625\) −24.6050 + 4.42656i −0.984200 + 0.177062i
\(626\) −1.35922 + 5.07269i −0.0543255 + 0.202745i
\(627\) −0.172004 + 0.641927i −0.00686917 + 0.0256361i
\(628\) 3.08959 0.827852i 0.123288 0.0330349i
\(629\) 0.470029 0.470029i 0.0187413 0.0187413i
\(630\) 6.65378 2.10427i 0.265093 0.0838363i
\(631\) 2.11491 + 7.89297i 0.0841934 + 0.314214i 0.995160 0.0982656i \(-0.0313295\pi\)
−0.910967 + 0.412480i \(0.864663\pi\)
\(632\) 10.4433 0.415411
\(633\) 3.28446 + 12.2578i 0.130545 + 0.487202i
\(634\) 5.12068 + 8.86927i 0.203368 + 0.352244i
\(635\) 7.21363 + 11.3015i 0.286264 + 0.448486i
\(636\) 8.64047i 0.342617i
\(637\) 8.53225 + 4.98105i 0.338060 + 0.197357i
\(638\) −4.23180 + 4.23180i −0.167538 + 0.167538i
\(639\) 13.0079 + 3.48547i 0.514586 + 0.137883i
\(640\) 2.18348 + 0.482081i 0.0863097 + 0.0190559i
\(641\) −15.0450 8.68624i −0.594242 0.343086i 0.172531 0.985004i \(-0.444805\pi\)
−0.766773 + 0.641918i \(0.778139\pi\)
\(642\) 3.32395i 0.131186i
\(643\) 10.3157 17.8672i 0.406810 0.704615i −0.587721 0.809064i \(-0.699975\pi\)
0.994530 + 0.104449i \(0.0333079\pi\)
\(644\) 7.11938 1.90763i 0.280543 0.0751713i
\(645\) −16.6225 15.2053i −0.654512 0.598707i
\(646\) −0.0446531 + 0.0773414i −0.00175685 + 0.00304296i
\(647\) 18.1785 + 4.87092i 0.714671 + 0.191496i 0.597793 0.801651i \(-0.296045\pi\)
0.116878 + 0.993146i \(0.462711\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) −8.61610 −0.338212
\(650\) 16.3151 + 7.66920i 0.639932 + 0.300811i
\(651\) 6.20381 0.243147
\(652\) −13.7097 + 7.91529i −0.536913 + 0.309987i
\(653\) −39.8876 10.6879i −1.56092 0.418248i −0.627967 0.778240i \(-0.716113\pi\)
−0.932956 + 0.359992i \(0.882780\pi\)
\(654\) −6.03818 + 10.4584i −0.236111 + 0.408957i
\(655\) −7.64983 6.99759i −0.298904 0.273418i
\(656\) 3.36270 0.901032i 0.131291 0.0351794i
\(657\) −1.22580 + 2.12314i −0.0478229 + 0.0828317i
\(658\) 14.8001i 0.576967i
\(659\) 11.0082 + 6.35559i 0.428819 + 0.247579i 0.698843 0.715275i \(-0.253698\pi\)
−0.270025 + 0.962853i \(0.587032\pi\)
\(660\) 1.42098 + 0.313731i 0.0553115 + 0.0122120i
\(661\) −35.9999 9.64615i −1.40023 0.375192i −0.521805 0.853065i \(-0.674741\pi\)
−0.878429 + 0.477873i \(0.841408\pi\)
\(662\) 16.3655 16.3655i 0.636064 0.636064i
\(663\) 0.156342 + 0.273830i 0.00607181 + 0.0106347i
\(664\) 1.51346i 0.0587337i
\(665\) −3.83424 6.00706i −0.148686 0.232944i
\(666\) −3.80043 6.58253i −0.147264 0.255068i
\(667\) −5.62101 20.9779i −0.217646 0.812267i
\(668\) −17.9405 −0.694138
\(669\) 3.70807 + 13.8387i 0.143362 + 0.535035i
\(670\) −23.1217 + 7.31228i −0.893268 + 0.282498i
\(671\) 3.13119 3.13119i 0.120878 0.120878i
\(672\) −3.01458 + 0.807754i −0.116290 + 0.0311598i
\(673\) −3.37878 + 12.6098i −0.130242 + 0.486071i −0.999972 0.00745690i \(-0.997626\pi\)
0.869730 + 0.493528i \(0.164293\pi\)
\(674\) 6.84037 25.5286i 0.263481 0.983326i
\(675\) −3.20729 + 3.83579i −0.123449 + 0.147640i
\(676\) −6.39123 11.3204i −0.245816 0.435401i
\(677\) −30.3858 30.3858i −1.16782 1.16782i −0.982719 0.185101i \(-0.940739\pi\)
−0.185101 0.982719i \(-0.559261\pi\)
\(678\) −3.41585 5.91643i −0.131185 0.227219i
\(679\) −13.8303 + 7.98490i −0.530757 + 0.306432i
\(680\) 0.173535 + 0.0901454i 0.00665476 + 0.00345692i
\(681\) −12.0347 12.0347i −0.461169 0.461169i
\(682\) 1.12032 + 0.646819i 0.0428994 + 0.0247680i
\(683\) 20.2358 + 11.6831i 0.774302 + 0.447043i 0.834407 0.551149i \(-0.185810\pi\)
−0.0601053 + 0.998192i \(0.519144\pi\)
\(684\) 0.722087 + 0.722087i 0.0276097 + 0.0276097i
\(685\) 22.6103 7.15055i 0.863894 0.273208i
\(686\) 11.5135 6.64732i 0.439587 0.253796i
\(687\) 8.36038 + 14.4806i 0.318968 + 0.552469i
\(688\) 7.12397 + 7.12397i 0.271599 + 0.271599i
\(689\) −8.20804 + 30.0529i −0.312701 + 1.14493i
\(690\) −3.56429 + 3.89651i −0.135690 + 0.148338i
\(691\) 10.4146 38.8677i 0.396189 1.47860i −0.423557 0.905869i \(-0.639219\pi\)
0.819746 0.572727i \(-0.194115\pi\)
\(692\) 0.0850494 0.317409i 0.00323309 0.0120661i
\(693\) −1.96184 + 0.525674i −0.0745242 + 0.0199687i
\(694\) −14.0016 + 14.0016i −0.531492 + 0.531492i
\(695\) −11.0892 35.0644i −0.420637 1.33007i
\(696\) 2.38012 + 8.88272i 0.0902182 + 0.336699i
\(697\) 0.304454 0.0115320
\(698\) −0.0805064 0.300454i −0.00304721 0.0113724i
\(699\) 0.808731 + 1.40076i 0.0305890 + 0.0529817i
\(700\) −12.7670 + 8.97259i −0.482548 + 0.339132i
\(701\) 38.5740i 1.45692i −0.685087 0.728461i \(-0.740236\pi\)
0.685087 0.728461i \(-0.259764\pi\)
\(702\) 3.48715 0.916397i 0.131614 0.0345872i
\(703\) −5.48848 + 5.48848i −0.207002 + 0.207002i
\(704\) −0.628610 0.168435i −0.0236916 0.00634815i
\(705\) 5.70522 + 8.93830i 0.214871 + 0.336636i
\(706\) 25.7121 + 14.8449i 0.967688 + 0.558695i
\(707\) 12.9643i 0.487573i
\(708\) −6.61978 + 11.4658i −0.248787 + 0.430911i
\(709\) 21.1704 5.67258i 0.795070 0.213038i 0.161652 0.986848i \(-0.448318\pi\)
0.633418 + 0.773810i \(0.281651\pi\)
\(710\) −30.0829 + 1.33958i −1.12899 + 0.0502736i
\(711\) 5.22163 9.04413i 0.195827 0.339182i
\(712\) 18.0823 + 4.84513i 0.677662 + 0.181579i
\(713\) −4.06557 + 2.34726i −0.152257 + 0.0879056i
\(714\) −0.272936 −0.0102144
\(715\) −4.64436 2.44107i −0.173689 0.0912907i
\(716\) 21.9150 0.819001
\(717\) −0.228064 + 0.131673i −0.00851721 + 0.00491742i
\(718\) −33.3389 8.93314i −1.24420 0.333382i
\(719\) −6.82948 + 11.8290i −0.254697 + 0.441147i −0.964813 0.262937i \(-0.915309\pi\)
0.710116 + 0.704084i \(0.248642\pi\)
\(720\) 1.50924 1.64991i 0.0562459 0.0614886i
\(721\) 37.9045 10.1565i 1.41164 0.378247i
\(722\) −8.97859 + 15.5514i −0.334149 + 0.578762i
\(723\) 26.9906i 1.00379i
\(724\) −5.29297 3.05590i −0.196712 0.113572i
\(725\) 26.4385 + 37.6191i 0.981902 + 1.39714i
\(726\) 10.2161 + 2.73739i 0.379155 + 0.101594i
\(727\) −25.9287 + 25.9287i −0.961642 + 0.961642i −0.999291 0.0376492i \(-0.988013\pi\)
0.0376492 + 0.999291i \(0.488013\pi\)
\(728\) 11.2525 + 0.0542094i 0.417046 + 0.00200913i
\(729\) 1.00000i 0.0370370i
\(730\) 1.18187 5.35301i 0.0437428 0.198124i
\(731\) 0.440539 + 0.763035i 0.0162939 + 0.0282219i
\(732\) −1.76110 6.57250i −0.0650920 0.242926i
\(733\) −47.7941 −1.76532 −0.882658 0.470015i \(-0.844248\pi\)
−0.882658 + 0.470015i \(0.844248\pi\)
\(734\) −7.97094 29.7480i −0.294213 1.09802i
\(735\) 2.82450 5.43733i 0.104183 0.200559i
\(736\) 1.66994 1.66994i 0.0615548 0.0615548i
\(737\) 6.81734 1.82670i 0.251120 0.0672874i
\(738\) 0.901032 3.36270i 0.0331674 0.123783i
\(739\) 8.68070 32.3968i 0.319325 1.19174i −0.600571 0.799572i \(-0.705060\pi\)
0.919895 0.392164i \(-0.128273\pi\)
\(740\) 12.5407 + 11.4715i 0.461007 + 0.421700i
\(741\) −1.82559 3.19748i −0.0670645 0.117462i
\(742\) −19.0680 19.0680i −0.700009 0.700009i
\(743\) −1.89901 3.28918i −0.0696680 0.120668i 0.829087 0.559119i \(-0.188861\pi\)
−0.898755 + 0.438451i \(0.855527\pi\)
\(744\) 1.72150 0.993907i 0.0631132 0.0364384i
\(745\) −14.0656 + 27.0771i −0.515325 + 0.992028i
\(746\) −1.28498 1.28498i −0.0470464 0.0470464i
\(747\) 1.31070 + 0.756731i 0.0479559 + 0.0276873i
\(748\) −0.0492884 0.0284567i −0.00180216 0.00104048i
\(749\) −7.33539 7.33539i −0.268029 0.268029i
\(750\) 4.25165 10.3404i 0.155248 0.377577i
\(751\) −10.6172 + 6.12985i −0.387428 + 0.223681i −0.681045 0.732242i \(-0.738474\pi\)
0.293617 + 0.955923i \(0.405141\pi\)
\(752\) −2.37110 4.10687i −0.0864653 0.149762i
\(753\) −1.48868 1.48868i −0.0542505 0.0542505i
\(754\) 0.159733 33.1565i 0.00581712 1.20749i
\(755\) −35.7089 + 1.59010i −1.29958 + 0.0578698i
\(756\) −0.807754 + 3.01458i −0.0293777 + 0.109639i
\(757\) 0.220783 0.823974i 0.00802450 0.0299478i −0.961798 0.273762i \(-0.911732\pi\)
0.969822 + 0.243814i \(0.0783987\pi\)
\(758\) 6.00997 1.61037i 0.218292 0.0584912i
\(759\) 1.08677 1.08677i 0.0394473 0.0394473i
\(760\) −2.02635 1.05262i −0.0735034 0.0381825i
\(761\) 3.67773 + 13.7255i 0.133318 + 0.497548i 0.999999 0.00131382i \(-0.000418203\pi\)
−0.866682 + 0.498862i \(0.833752\pi\)
\(762\) −5.99600 −0.217212
\(763\) 9.75473 + 36.4051i 0.353145 + 1.31795i
\(764\) 2.41078 + 4.17559i 0.0872188 + 0.151067i
\(765\) 0.164836 0.105213i 0.00595965 0.00380398i
\(766\) 1.06202i 0.0383724i
\(767\) 33.9166 33.5914i 1.22466 1.21291i
\(768\) −0.707107 + 0.707107i −0.0255155 + 0.0255155i
\(769\) −44.3182 11.8750i −1.59816 0.428225i −0.653671 0.756779i \(-0.726772\pi\)