Properties

Label 390.2.bd.b.253.4
Level $390$
Weight $2$
Character 390.253
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 253.4
Root \(0.339278 - 0.0446668i\) of defining polynomial
Character \(\chi\) \(=\) 390.253
Dual form 390.2.bd.b.37.4

$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

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 −0.994258 0.107006i \(-0.965874\pi\)
0.404459 0.914556i \(-0.367460\pi\)
\(8\) 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 −0.162804 0.986658i \(-0.552054\pi\)
0.352337 + 0.935873i \(0.385387\pi\)
\(12\) 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 −0.968616 0.248561i \(-0.920042\pi\)
0.963127 + 0.269048i \(0.0867092\pi\)
\(18\) −1.00000 −0.235702
\(19\) 0.264302 0.986389i 0.0606351 0.226293i −0.928959 0.370184i \(-0.879295\pi\)
0.989594 + 0.143891i \(0.0459614\pi\)
\(20\) 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 0.999915 0.0130217i \(-0.00414507\pi\)
−0.872463 + 0.488680i \(0.837478\pi\)
\(24\) −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 0.999715 0.0238887i \(-0.00760474\pi\)
0.479169 + 0.877723i \(0.340938\pi\)
\(30\) −1.98431 + 1.03078i −0.362284 + 0.188194i
\(31\) −1.40560 + 1.40560i −0.252453 + 0.252453i −0.821975 0.569523i \(-0.807128\pi\)
0.569523 + 0.821975i \(0.307128\pi\)
\(32\) 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 −0.363796 0.931479i \(-0.618519\pi\)
0.988582 0.150683i \(-0.0481473\pi\)
\(38\) −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 −0.999909 0.0135103i \(-0.995699\pi\)
0.859191 0.511655i \(-0.170967\pi\)
\(42\) 0.807754 + 3.01458i 0.124639 + 0.465160i
\(43\) −9.73152 2.60755i −1.48404 0.397648i −0.576322 0.817223i \(-0.695513\pi\)
−0.907721 + 0.419575i \(0.862179\pi\)
\(44\) 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 0.988758 0.149521i \(-0.0477733\pi\)
−0.149521 + 0.988758i \(0.547773\pi\)
\(54\) −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 −0.701181 0.712984i \(-0.747343\pi\)
−0.963732 + 0.266872i \(0.914010\pi\)
\(60\) 2.23385 + 0.0994727i 0.288389 + 0.0128419i
\(61\) 3.40217 + 5.89274i 0.435604 + 0.754488i 0.997345 0.0728252i \(-0.0232015\pi\)
−0.561741 + 0.827313i \(0.689868\pi\)
\(62\) 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 0.948260 0.317495i \(-0.102842\pi\)
0.199172 + 0.979965i \(0.436175\pi\)
\(68\) −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 0.927478 0.373878i \(-0.121972\pi\)
0.616281 + 0.787526i \(0.288639\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) 2.45159i 0.286937i −0.989655 0.143469i \(-0.954174\pi\)
0.989655 0.143469i \(-0.0458256\pi\)
\(74\) −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 \(0.199880\pi\)
−0.809239 + 0.587480i \(0.800120\pi\)
\(80\) 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 0.377466 + 0.926023i \(0.376795\pi\)
0.136116 + 0.990693i \(0.456538\pi\)
\(90\) −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 −0.257861 0.966182i \(-0.583018\pi\)
0.707808 + 0.706405i \(0.249684\pi\)
\(98\) 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 0.668186 0.743994i \(-0.267071\pi\)
−0.310225 + 0.950663i \(0.600404\pi\)
\(102\) 0.0437267 0.0757369i 0.00432959 0.00749908i
\(103\) −8.89096 + 8.89096i −0.876052 + 0.876052i −0.993124 0.117071i \(-0.962649\pi\)
0.117071 + 0.993124i \(0.462649\pi\)
\(104\) −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 0.911792 0.410651i \(-0.134699\pi\)
−0.994961 + 0.100262i \(0.968032\pi\)
\(108\) 0.965926 + 0.258819i 0.0929463 + 0.0249049i
\(109\) 8.53927 + 8.53927i 0.817914 + 0.817914i 0.985805 0.167891i \(-0.0536958\pi\)
−0.167891 + 0.985805i \(0.553696\pi\)
\(110\) −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 −0.831530 0.555480i \(-0.812535\pi\)
0.997866 0.0652944i \(-0.0207986\pi\)
\(114\) −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 0.00747241 0.999972i \(-0.497621\pi\)
0.506457 + 0.862265i \(0.330955\pi\)
\(128\) 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 0.998573 0.0534088i \(-0.0170086\pi\)
−0.545540 + 0.838085i \(0.683675\pi\)
\(138\) 2.36165i 0.201037i
\(139\) −14.2433 + 8.22339i −1.20810 + 0.697499i −0.962345 0.271832i \(-0.912371\pi\)
−0.245759 + 0.969331i \(0.579037\pi\)
\(140\) −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 −0.656284 0.754514i \(-0.727873\pi\)
0.945616 0.325286i \(-0.105461\pi\)
\(150\) −1.71825 + 4.69549i −0.140294 + 0.383385i
\(151\) −11.3033 11.3033i −0.919852 0.919852i 0.0771662 0.997018i \(-0.475413\pi\)
−0.997018 + 0.0771662i \(0.975413\pi\)
\(152\) −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 −0.611070 0.791576i \(-0.709261\pi\)
0.791576 + 0.611070i \(0.209261\pi\)
\(158\) 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 −0.929224 0.369517i \(-0.879523\pi\)
−0.144601 + 0.989490i \(0.546190\pi\)
\(164\) 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 0.276332 + 0.961062i \(0.410881\pi\)
−0.970470 + 0.241221i \(0.922452\pi\)
\(168\) −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 0.270865 0.962617i \(-0.412690\pi\)
−0.246733 + 0.969084i \(0.579357\pi\)
\(174\) −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 −0.0874180 0.996172i \(-0.527862\pi\)
0.906419 0.422380i \(-0.138805\pi\)
\(180\) 2.18348 0.482081i 0.162747 0.0359322i
\(181\) 6.11180i 0.454286i 0.973861 + 0.227143i \(0.0729385\pi\)
−0.973861 + 0.227143i \(0.927061\pi\)
\(182\) 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 0.765529 0.643401i \(-0.222477\pi\)
−0.939966 + 0.341267i \(0.889144\pi\)
\(192\) −0.965926 + 0.258819i −0.0697097 + 0.0186787i
\(193\) −2.65297 1.53169i −0.190965 0.110254i 0.401469 0.915872i \(-0.368500\pi\)
−0.592434 + 0.805619i \(0.701833\pi\)
\(194\) −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 0.434895 0.900481i \(-0.356786\pi\)
−0.562392 + 0.826871i \(0.690119\pi\)
\(198\) −0.628610 + 0.168435i −0.0446733 + 0.0119702i
\(199\) −2.09521 3.62902i −0.148526 0.257254i 0.782157 0.623081i \(-0.214119\pi\)
−0.930683 + 0.365827i \(0.880786\pi\)
\(200\) −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 −0.560628 0.828068i \(-0.689440\pi\)
0.997442 + 0.0714847i \(0.0227737\pi\)
\(212\) −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 −0.520030 0.854148i \(-0.674079\pi\)
0.999729 + 0.0232849i \(0.00741247\pi\)
\(224\) −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 −0.901753 0.432252i \(-0.857719\pi\)
−0.0765352 + 0.997067i \(0.524386\pi\)
\(228\) 0.884372 0.510593i 0.0585690 0.0338148i
\(229\) 11.8234 11.8234i 0.781309 0.781309i −0.198742 0.980052i \(-0.563686\pi\)
0.980052 + 0.198742i \(0.0636857\pi\)
\(230\) −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 −0.668650 0.743577i \(-0.733127\pi\)
0.743577 + 0.668650i \(0.233127\pi\)
\(234\) 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 0.701059 0.713104i \(-0.252711\pi\)
−0.713104 + 0.701059i \(0.752711\pi\)
\(240\) 1.03078 + 1.98431i 0.0665366 + 0.128087i
\(241\) 6.98567 26.0709i 0.449987 1.67937i −0.252437 0.967613i \(-0.581232\pi\)
0.702423 0.711759i \(-0.252101\pi\)
\(242\) 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 −0.556436 0.830890i \(-0.687832\pi\)
0.441354 + 0.897333i \(0.354498\pi\)
\(252\) 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 −0.588464 0.808523i \(-0.700267\pi\)
−0.105363 + 0.994434i \(0.533600\pi\)
\(258\) 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 −0.236502 0.971631i \(-0.576001\pi\)
0.280999 + 0.959708i \(0.409334\pi\)
\(264\) −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 −0.0244723 0.999701i \(-0.507791\pi\)
0.853530 + 0.521044i \(0.174457\pi\)
\(270\) −1.20307 + 1.88484i −0.0732167 + 0.114708i
\(271\) −8.22569 + 2.20407i −0.499675 + 0.133888i −0.499849 0.866112i \(-0.666611\pi\)
0.000173978 1.00000i \(0.499945\pi\)
\(272\) −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 −0.928285 0.371869i \(-0.878717\pi\)
0.989853 + 0.142095i \(0.0453838\pi\)
\(278\) 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 0.00545067 0.999985i \(-0.498265\pi\)
−0.999985 + 0.00545067i \(0.998265\pi\)
\(282\) −4.58062 1.22737i −0.272772 0.0730891i
\(283\) 8.00692 + 29.8822i 0.475962 + 1.77631i 0.617705 + 0.786410i \(0.288063\pi\)
−0.141743 + 0.989903i \(0.545271\pi\)
\(284\) 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 −0.916740 0.399484i \(-0.869189\pi\)
−0.112407 + 0.993662i \(0.535856\pi\)
\(294\) 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 \(0.246411\pi\)
−0.715034 + 0.699089i \(0.753589\pi\)
\(312\) −0.916397 + 3.48715i −0.0518807 + 0.197421i
\(313\) 3.71347 + 3.71347i 0.209898 + 0.209898i 0.804224 0.594326i \(-0.202581\pi\)
−0.594326 + 0.804224i \(0.702581\pi\)
\(314\) −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 \(0.0928593\pi\)
−0.957749 + 0.287606i \(0.907141\pi\)
\(318\) −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 −0.414676 0.909969i \(-0.636105\pi\)
−0.814105 + 0.580718i \(0.802772\pi\)
\(332\) 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 −0.999835 0.0181791i \(-0.994213\pi\)
−0.0181791 0.999835i \(-0.505787\pi\)
\(338\) −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 0.732618 0.680640i \(-0.238298\pi\)
0.294146 + 0.955761i \(0.404965\pi\)
\(348\) 2.38012 + 8.88272i 0.127588 + 0.476164i
\(349\) −0.0805064 0.300454i −0.00430941 0.0160829i 0.963738 0.266852i \(-0.0859833\pi\)
−0.968047 + 0.250769i \(0.919317\pi\)
\(350\) 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 0.135782 + 0.990739i \(0.456645\pi\)
−0.925896 + 0.377779i \(0.876688\pi\)
\(354\) 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 0.352143 0.935946i \(-0.385453\pi\)
0.935946 0.352143i \(-0.114547\pi\)
\(360\) −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 −0.782663 0.622445i \(-0.786139\pi\)
0.366584 0.930385i \(-0.380527\pi\)
\(368\) −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 −0.952680 0.303976i \(-0.901686\pi\)
0.977033 + 0.213089i \(0.0683525\pi\)
\(374\) 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 −0.409849 0.912153i \(-0.634419\pi\)
0.101137 + 0.994872i \(0.467752\pi\)
\(380\) 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 0.852140 0.523314i \(-0.175305\pi\)
−0.879273 + 0.476318i \(0.841971\pi\)
\(384\) 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 0.768399 + 0.639971i \(0.221054\pi\)
0.170031 + 0.985439i \(0.445613\pi\)
\(398\) 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 −0.280559 0.959837i \(-0.590520\pi\)
0.236947 + 0.971523i \(0.423853\pi\)
\(402\) −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 −0.560356 0.828252i \(-0.689336\pi\)
0.899409 0.437109i \(-0.143998\pi\)
\(410\) 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 0.260746 0.965408i \(-0.416032\pi\)
−0.705695 + 0.708516i \(0.749365\pi\)
\(420\) −3.21699 6.19288i −0.156973 0.302182i
\(421\) 2.06316 2.06316i 0.100552 0.100552i −0.655041 0.755593i \(-0.727349\pi\)
0.755593 + 0.655041i \(0.227349\pi\)
\(422\) −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 −0.982554 0.185976i \(-0.940455\pi\)
0.757929 0.652337i \(-0.226211\pi\)
\(432\) 0.258819 + 0.965926i 0.0124524 + 0.0464731i
\(433\) −34.0900 9.13438i −1.63826 0.438970i −0.681967 0.731383i \(-0.738875\pi\)
−0.956292 + 0.292413i \(0.905542\pi\)
\(434\) −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 −0.792786 0.609500i \(-0.791370\pi\)
0.924235 + 0.381823i \(0.124704\pi\)
\(440\) −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 0.743815 0.668385i \(-0.233014\pi\)
−0.668385 + 0.743815i \(0.733014\pi\)
\(444\) 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 −0.467898 0.883782i \(-0.654989\pi\)
−0.847103 + 0.531429i \(0.821655\pi\)
\(450\) −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 −0.985342 0.170591i \(-0.945432\pi\)
−0.640407 0.768036i \(-0.721234\pi\)
\(458\) −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 −0.140768 0.990043i \(-0.544957\pi\)
−0.616930 + 0.787018i \(0.711624\pi\)
\(462\) 1.01552 + 1.75894i 0.0472465 + 0.0818333i
\(463\) 38.5945i 1.79364i −0.442399 0.896818i \(-0.645872\pi\)
0.442399 0.896818i \(-0.354128\pi\)
\(464\) −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 0.965385 0.260829i \(-0.0839959\pi\)
−0.260829 + 0.965385i \(0.583996\pi\)
\(468\) −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 0.995220 + 0.0976537i \(0.0311338\pi\)
−0.813059 + 0.582181i \(0.802200\pi\)
\(480\) 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 −0.822025 0.569452i \(-0.807155\pi\)
0.0821477 + 0.996620i \(0.473822\pi\)
\(488\) 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 0.401563 0.915831i \(-0.368467\pi\)
−0.592352 + 0.805680i \(0.701800\pi\)
\(492\) 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 0.830779 0.556603i \(-0.187895\pi\)
−0.556603 + 0.830779i \(0.687895\pi\)
\(500\) 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 0.651223 + 0.758886i \(0.274256\pi\)
−0.943419 + 0.331603i \(0.892411\pi\)
\(504\) −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 −0.502189 0.864758i \(-0.667472\pi\)
−0.00252998 + 0.999997i \(0.500805\pi\)
\(510\) −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 0.424762 0.905305i \(-0.360358\pi\)
0.820507 + 0.571636i \(0.193691\pi\)
\(524\) −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 0.532956 0.846143i \(-0.321081\pi\)
−0.846143 + 0.532956i \(0.821081\pi\)
\(542\) 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 −0.859141 0.511739i \(-0.829001\pi\)
0.511739 + 0.859141i \(0.329001\pi\)
\(548\) −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 −0.991667 0.128824i \(-0.958880\pi\)
0.607399 + 0.794397i \(0.292213\pi\)
\(558\) 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 0.886286 0.463138i \(-0.153276\pi\)
0.535978 + 0.844232i \(0.319943\pi\)
\(564\) 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 0.487100 + 0.873346i \(0.338055\pi\)
−0.999890 + 0.0148316i \(0.995279\pi\)
\(570\) 0.492294 + 2.22974i 0.0206199 + 0.0933936i
\(571\) 22.5270i 0.942727i −0.881939 0.471364i \(-0.843762\pi\)
0.881939 0.471364i \(-0.156238\pi\)
\(572\) −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 \(-0.766729\pi\)
0.743276 0.668985i \(-0.233271\pi\)
\(578\) −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 0.0988446 0.995103i \(-0.468485\pi\)
−0.812362 + 0.583153i \(0.801819\pi\)
\(588\) −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 \(0.0299388\pi\)
−0.995580 + 0.0939169i \(0.970061\pi\)
\(594\) −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 \(0.182396\pi\)
−0.840271 + 0.542167i \(0.817604\pi\)
\(600\) −4.92554 + 0.859701i −0.201084 + 0.0350972i
\(601\) 13.3672 23.1528i 0.545261 0.944420i −0.453329 0.891343i \(-0.649764\pi\)
0.998590 0.0530772i \(-0.0169029\pi\)
\(602\) 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 0.489240 0.872149i \(-0.337274\pi\)
−0.0123802 + 0.999923i \(0.503941\pi\)
\(608\) −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 −0.587364 0.809323i \(-0.699834\pi\)
0.994576 + 0.104011i \(0.0331678\pi\)
\(614\) −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 −0.982516 0.186179i \(-0.940390\pi\)
−0.330023 + 0.943973i \(0.607056\pi\)
\(618\) 10.8892 6.28686i 0.438026 0.252895i
\(619\) −27.2529 + 27.2529i −1.09539 + 1.09539i −0.100442 + 0.994943i \(0.532026\pi\)
−0.994943 + 0.100442i \(0.967974\pi\)
\(620\) −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 −0.910967 0.412480i \(-0.864663\pi\)
0.995160 + 0.0982656i \(0.0313295\pi\)
\(632\) 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 −0.766773 0.641918i \(-0.778139\pi\)
0.172531 + 0.985004i \(0.444805\pi\)
\(642\) 3.32395i 0.131186i
\(643\) 10.3157 + 17.8672i 0.406810 + 0.704615i 0.994530 0.104449i \(-0.0333079\pi\)
−0.587721 + 0.809064i \(0.699975\pi\)
\(644\) 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 0.116878 0.993146i \(-0.462711\pi\)
0.597793 + 0.801651i \(0.296045\pi\)
\(648\) −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 −0.932956 0.359992i \(-0.882780\pi\)
−0.627967 + 0.778240i \(0.716113\pi\)
\(654\) −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 −0.270025 0.962853i \(-0.587032\pi\)
0.698843 + 0.715275i \(0.253698\pi\)
\(660\) 1.42098 0.313731i 0.0553115 0.0122120i
\(661\) −35.9999 + 9.64615i −1.40023 + 0.375192i −0.878429 0.477873i \(-0.841408\pi\)
−0.521805 + 0.853065i \(0.674741\pi\)
\(662\) 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 0.869730 0.493528i \(-0.164293\pi\)
−0.999972 + 0.00745690i \(0.997626\pi\)
\(674\) 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 −0.185101 + 0.982719i \(0.559261\pi\)
−0.982719 + 0.185101i \(0.940739\pi\)
\(678\) −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 −0.0601053 0.998192i \(-0.519144\pi\)
0.834407 + 0.551149i \(0.185810\pi\)
\(684\) 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 0.819746 + 0.572727i \(0.194115\pi\)
−0.423557 + 0.905869i \(0.639219\pi\)
\(692\) 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 \(0.259764\pi\)
−0.685087 + 0.728461i \(0.740236\pi\)
\(702\) 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 0.633418 0.773810i \(-0.281651\pi\)
0.161652 + 0.986848i \(0.448318\pi\)
\(710\) −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 0.710116 0.704084i \(-0.248642\pi\)
−0.964813 + 0.262937i \(0.915309\pi\)
\(720\) 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 0.0376492 0.999291i \(-0.488013\pi\)
−0.999291 + 0.0376492i \(0.988013\pi\)
\(728\) 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 0.919895 + 0.392164i \(0.128273\pi\)
−0.600571 + 0.799572i \(0.705060\pi\)
\(740\) 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 −0.898755 0.438451i \(-0.855527\pi\)
0.829087 + 0.559119i \(0.188861\pi\)
\(744\) 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 0.293617 0.955923i \(-0.405141\pi\)
−0.681045 + 0.732242i \(0.738474\pi\)
\(752\) −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 0.969822 0.243814i \(-0.0783987\pi\)
−0.961798 + 0.273762i \(0.911732\pi\)
\(758\) 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 −0.866682 0.498862i \(-0.833752\pi\)
0.999999 + 0.00131382i \(0.000418203\pi\)
\(762\) −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 −0.944485 0.328554i