Properties

Label 390.2.bn.b.97.2
Level $390$
Weight $2$
Character 390.97
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.bn (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 97.2
Root \(2.69978 + 0.355433i\) of defining polynomial
Character \(\chi\) \(=\) 390.97
Dual form 390.2.bn.b.193.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50924 - 1.64991i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(2.70280 - 1.56046i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50924 - 1.64991i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(2.70280 - 1.56046i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-0.674247 - 2.13199i) q^{10} +(0.628610 - 0.168435i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(-1.78771 + 3.13115i) q^{13} -3.12092i q^{14} +(-1.98431 - 1.03078i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.0844736 - 0.0226346i) q^{17} +1.00000i q^{18} +(-0.264302 + 0.986389i) q^{19} +(-2.18348 - 0.482081i) q^{20} +(-2.20683 - 2.20683i) q^{21} +(0.168435 - 0.628610i) q^{22} +(2.28118 - 0.611240i) 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} +(-2.70280 - 1.56046i) q^{28} +(-7.96403 - 4.59804i) q^{29} +(-1.88484 + 1.20307i) q^{30} +(-1.40560 + 1.40560i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.325392 - 0.563596i) q^{33} +(-0.0618390 + 0.0618390i) q^{34} +(1.50454 - 6.81448i) q^{35} +(0.866025 + 0.500000i) q^{36} +(6.58253 + 3.80043i) 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} +(-3.01458 + 0.807754i) q^{42} +(-2.60755 + 9.73152i) q^{43} +(-0.460174 - 0.460174i) q^{44} +(-0.482081 + 2.18348i) q^{45} +(0.611240 - 2.28118i) q^{46} +4.74221i q^{47} +(0.965926 + 0.258819i) q^{48} +(1.37008 - 2.37305i) q^{49} +(-4.53520 - 2.10523i) q^{50} +0.0874535i q^{51} +(3.60551 - 0.0173697i) q^{52} +(6.10974 - 6.10974i) q^{53} +(0.965926 - 0.258819i) q^{54} +(0.670817 - 1.29136i) q^{55} +(-2.70280 + 1.56046i) q^{56} +1.02119 q^{57} +(-7.96403 + 4.59804i) q^{58} +(12.7884 + 3.42665i) q^{59} +(0.0994727 + 2.23385i) q^{60} +(3.40217 + 5.89274i) q^{61} +(0.514484 + 1.92008i) q^{62} +(-1.56046 + 2.70280i) q^{63} +1.00000 q^{64} +(2.46804 + 7.67521i) q^{65} -0.650785 q^{66} +(-5.42255 + 9.39213i) q^{67} +(0.0226346 + 0.0844736i) q^{68} +(-1.18083 - 2.04525i) q^{69} +(-5.14925 - 4.71021i) q^{70} +(13.0079 + 3.48547i) q^{71} +(0.866025 - 0.500000i) q^{72} -2.45159 q^{73} +(6.58253 - 3.80043i) q^{74} +(-4.69549 + 1.71825i) q^{75} +(0.986389 - 0.264302i) q^{76} +(1.43617 - 1.43617i) q^{77} +(2.53720 - 2.56176i) q^{78} -10.4433i q^{79} +(0.674247 + 2.13199i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-3.36270 - 0.901032i) q^{82} -1.51346i q^{83} +(-0.807754 + 3.01458i) q^{84} +(-0.164836 + 0.105213i) q^{85} +(7.12397 + 7.12397i) q^{86} +(-2.38012 + 8.88272i) q^{87} +(-0.628610 + 0.168435i) 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} +(1.72150 + 0.993907i) q^{93} +(4.10687 + 2.37110i) q^{94} +(1.22856 + 1.92477i) q^{95} +(0.707107 - 0.707107i) q^{96} +(2.55851 + 4.43146i) q^{97} +(-1.37008 - 2.37305i) q^{98} +(-0.460174 + 0.460174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8} + 12 q^{11} + 8 q^{13} - 8 q^{15} - 8 q^{16} - 4 q^{17} - 4 q^{19} + 4 q^{23} + 4 q^{25} + 4 q^{26} - 24 q^{28} - 48 q^{29} - 4 q^{30} + 16 q^{31} + 8 q^{32} + 16 q^{33} - 20 q^{34} - 12 q^{35} + 12 q^{37} + 4 q^{38} + 4 q^{39} - 12 q^{41} + 20 q^{43} - 12 q^{44} + 8 q^{45} - 4 q^{46} - 4 q^{49} - 16 q^{50} - 4 q^{52} + 32 q^{53} + 16 q^{55} - 24 q^{56} - 8 q^{57} - 48 q^{58} + 4 q^{59} + 4 q^{60} + 4 q^{61} - 4 q^{62} + 4 q^{63} + 16 q^{64} - 8 q^{65} + 32 q^{66} - 28 q^{67} - 16 q^{68} + 4 q^{69} - 36 q^{71} + 32 q^{73} + 12 q^{74} - 24 q^{75} + 8 q^{76} + 4 q^{77} + 20 q^{78} + 8 q^{81} - 24 q^{82} + 52 q^{85} + 16 q^{86} + 36 q^{87} - 12 q^{88} - 24 q^{89} + 4 q^{90} - 8 q^{92} + 36 q^{94} - 40 q^{95} - 4 q^{97} + 4 q^{98} - 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) −0.258819 0.965926i −0.149429 0.557678i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 1.50924 1.64991i 0.674951 0.737863i
\(6\) −0.965926 0.258819i −0.394338 0.105662i
\(7\) 2.70280 1.56046i 1.02156 0.589799i 0.107006 0.994258i \(-0.465874\pi\)
0.914556 + 0.404459i \(0.132540\pi\)
\(8\) −1.00000 −0.353553
\(9\) −0.866025 + 0.500000i −0.288675 + 0.166667i
\(10\) −0.674247 2.13199i −0.213216 0.674195i
\(11\) 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
\(13\) −1.78771 + 3.13115i −0.495822 + 0.868424i
\(14\) 3.12092i 0.834102i
\(15\) −1.98431 1.03078i −0.512347 0.266147i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −0.0844736 0.0226346i −0.0204879 0.00548970i 0.248561 0.968616i \(-0.420042\pi\)
−0.269048 + 0.963127i \(0.586709\pi\)
\(18\) 1.00000i 0.235702i
\(19\) −0.264302 + 0.986389i −0.0606351 + 0.226293i −0.989594 0.143891i \(-0.954039\pi\)
0.928959 + 0.370184i \(0.120705\pi\)
\(20\) −2.18348 0.482081i −0.488242 0.107797i
\(21\) −2.20683 2.20683i −0.481569 0.481569i
\(22\) 0.168435 0.628610i 0.0359106 0.134020i
\(23\) 2.28118 0.611240i 0.475659 0.127452i −0.0130217 0.999915i \(-0.504145\pi\)
0.488680 + 0.872463i \(0.337478\pi\)
\(24\) 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
\(28\) −2.70280 1.56046i −0.510781 0.294899i
\(29\) −7.96403 4.59804i −1.47888 0.853834i −0.479169 0.877723i \(-0.659062\pi\)
−0.999715 + 0.0238887i \(0.992395\pi\)
\(30\) −1.88484 + 1.20307i −0.344123 + 0.219650i
\(31\) −1.40560 + 1.40560i −0.252453 + 0.252453i −0.821975 0.569523i \(-0.807128\pi\)
0.569523 + 0.821975i \(0.307128\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −0.325392 0.563596i −0.0566435 0.0981095i
\(34\) −0.0618390 + 0.0618390i −0.0106053 + 0.0106053i
\(35\) 1.50454 6.81448i 0.254313 1.15186i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 6.58253 + 3.80043i 1.08216 + 0.624786i 0.931479 0.363796i \(-0.118519\pi\)
0.150683 + 0.988582i \(0.451853\pi\)
\(38\) 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 \(-0.170967\pi\)
\(42\) −3.01458 + 0.807754i −0.465160 + 0.124639i
\(43\) −2.60755 + 9.73152i −0.397648 + 1.48404i 0.419575 + 0.907721i \(0.362179\pi\)
−0.817223 + 0.576322i \(0.804487\pi\)
\(44\) −0.460174 0.460174i −0.0693739 0.0693739i
\(45\) −0.482081 + 2.18348i −0.0718644 + 0.325494i
\(46\) 0.611240 2.28118i 0.0901224 0.336341i
\(47\) 4.74221i 0.691722i 0.938286 + 0.345861i \(0.112413\pi\)
−0.938286 + 0.345861i \(0.887587\pi\)
\(48\) 0.965926 + 0.258819i 0.139419 + 0.0373573i
\(49\) 1.37008 2.37305i 0.195726 0.339007i
\(50\) −4.53520 2.10523i −0.641374 0.297725i
\(51\) 0.0874535i 0.0122459i
\(52\) 3.60551 0.0173697i 0.499994 0.00240874i
\(53\) 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
\(55\) 0.670817 1.29136i 0.0904529 0.174127i
\(56\) −2.70280 + 1.56046i −0.361177 + 0.208525i
\(57\) 1.02119 0.135259
\(58\) −7.96403 + 4.59804i −1.04573 + 0.603752i
\(59\) 12.7884 + 3.42665i 1.66491 + 0.446112i 0.963732 0.266872i \(-0.0859900\pi\)
0.701181 + 0.712984i \(0.252657\pi\)
\(60\) 0.0994727 + 2.23385i 0.0128419 + 0.288389i
\(61\) 3.40217 + 5.89274i 0.435604 + 0.754488i 0.997345 0.0728252i \(-0.0232015\pi\)
−0.561741 + 0.827313i \(0.689868\pi\)
\(62\) 0.514484 + 1.92008i 0.0653395 + 0.243851i
\(63\) −1.56046 + 2.70280i −0.196600 + 0.340521i
\(64\) 1.00000 0.125000
\(65\) 2.46804 + 7.67521i 0.306122 + 0.951992i
\(66\) −0.650785 −0.0801061
\(67\) −5.42255 + 9.39213i −0.662470 + 1.14743i 0.317495 + 0.948260i \(0.397158\pi\)
−0.979965 + 0.199172i \(0.936175\pi\)
\(68\) 0.0226346 + 0.0844736i 0.00274485 + 0.0102439i
\(69\) −1.18083 2.04525i −0.142155 0.246219i
\(70\) −5.14925 4.71021i −0.615453 0.562978i
\(71\) 13.0079 + 3.48547i 1.54376 + 0.413649i 0.927478 0.373878i \(-0.121972\pi\)
0.616281 + 0.787526i \(0.288639\pi\)
\(72\) 0.866025 0.500000i 0.102062 0.0589256i
\(73\) −2.45159 −0.286937 −0.143469 0.989655i \(-0.545826\pi\)
−0.143469 + 0.989655i \(0.545826\pi\)
\(74\) 6.58253 3.80043i 0.765204 0.441791i
\(75\) −4.69549 + 1.71825i −0.542189 + 0.198406i
\(76\) 0.986389 0.264302i 0.113147 0.0303175i
\(77\) 1.43617 1.43617i 0.163667 0.163667i
\(78\) 2.53720 2.56176i 0.287281 0.290062i
\(79\) 10.4433i 1.17496i −0.809239 0.587480i \(-0.800120\pi\)
0.809239 0.587480i \(-0.199880\pi\)
\(80\) 0.674247 + 2.13199i 0.0753831 + 0.238364i
\(81\) 0.500000 0.866025i 0.0555556 0.0962250i
\(82\) −3.36270 0.901032i −0.371348 0.0995023i
\(83\) 1.51346i 0.166124i −0.996544 0.0830620i \(-0.973530\pi\)
0.996544 0.0830620i \(-0.0264700\pi\)
\(84\) −0.807754 + 3.01458i −0.0881332 + 0.328918i
\(85\) −0.164836 + 0.105213i −0.0178789 + 0.0114119i
\(86\) 7.12397 + 7.12397i 0.768197 + 0.768197i
\(87\) −2.38012 + 8.88272i −0.255176 + 0.952328i
\(88\) −0.628610 + 0.168435i −0.0670100 + 0.0179553i
\(89\) −4.84513 18.0823i −0.513583 1.91672i −0.377466 0.926023i \(-0.623205\pi\)
−0.136116 0.990693i \(-0.543462\pi\)
\(90\) 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
\(93\) 1.72150 + 0.993907i 0.178511 + 0.103063i
\(94\) 4.10687 + 2.37110i 0.423592 + 0.244561i
\(95\) 1.22856 + 1.92477i 0.126048 + 0.197477i
\(96\) 0.707107 0.707107i 0.0721688 0.0721688i
\(97\) 2.55851 + 4.43146i 0.259777 + 0.449947i 0.966182 0.257861i \(-0.0830176\pi\)
−0.706405 + 0.707808i \(0.749684\pi\)
\(98\) −1.37008 2.37305i −0.138399 0.239714i
\(99\) −0.460174 + 0.460174i −0.0462493 + 0.0462493i
\(100\) −4.09078 + 2.87498i −0.409078 + 0.287498i
\(101\) 3.59747 + 2.07700i 0.357961 + 0.206669i 0.668186 0.743994i \(-0.267071\pi\)
−0.310225 + 0.950663i \(0.600404\pi\)
\(102\) 0.0757369 + 0.0437267i 0.00749908 + 0.00432959i
\(103\) 8.89096 + 8.89096i 0.876052 + 0.876052i 0.993124 0.117071i \(-0.0373505\pi\)
−0.117071 + 0.993124i \(0.537351\pi\)
\(104\) 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
\(107\) 3.21069 0.860303i 0.310389 0.0831686i −0.100262 0.994961i \(-0.531968\pi\)
0.410651 + 0.911792i \(0.365301\pi\)
\(108\) 0.258819 0.965926i 0.0249049 0.0929463i
\(109\) −8.53927 8.53927i −0.817914 0.817914i 0.167891 0.985805i \(-0.446304\pi\)
−0.985805 + 0.167891i \(0.946304\pi\)
\(110\) −0.782942 1.22662i −0.0746505 0.116954i
\(111\) 1.96725 7.34186i 0.186723 0.696859i
\(112\) 3.12092i 0.294899i
\(113\) −6.59892 1.76817i −0.620774 0.166336i −0.0652944 0.997866i \(-0.520799\pi\)
−0.555480 + 0.831530i \(0.687465\pi\)
\(114\) 0.510593 0.884372i 0.0478214 0.0828291i
\(115\) 2.43434 4.68625i 0.227004 0.436995i
\(116\) 9.19607i 0.853834i
\(117\) −0.0173697 3.60551i −0.00160583 0.333329i
\(118\) 9.36178 9.36178i 0.861822 0.861822i
\(119\) −0.263636 + 0.0706409i −0.0241674 + 0.00647564i
\(120\) 1.98431 + 1.03078i 0.181142 + 0.0940970i
\(121\) −9.15950 + 5.28824i −0.832682 + 0.480749i
\(122\) 6.80435 0.616037
\(123\) −3.01491 + 1.74066i −0.271845 + 0.156950i
\(124\) 1.92008 + 0.514484i 0.172428 + 0.0462020i
\(125\) −8.88763 6.78307i −0.794934 0.606696i
\(126\) 1.56046 + 2.70280i 0.139017 + 0.240784i
\(127\) 1.55188 + 5.79169i 0.137707 + 0.513930i 0.999972 + 0.00747241i \(0.00237857\pi\)
−0.862265 + 0.506457i \(0.830955\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) 10.0748 0.887038
\(130\) 7.88094 + 1.70022i 0.691204 + 0.149119i
\(131\) −4.63651 −0.405094 −0.202547 0.979273i \(-0.564922\pi\)
−0.202547 + 0.979273i \(0.564922\pi\)
\(132\) −0.325392 + 0.563596i −0.0283218 + 0.0490547i
\(133\) 0.824867 + 3.07844i 0.0715250 + 0.266935i
\(134\) 5.42255 + 9.39213i 0.468437 + 0.811357i
\(135\) 2.23385 0.0994727i 0.192260 0.00856125i
\(136\) 0.0844736 + 0.0226346i 0.00724355 + 0.00194090i
\(137\) −9.18440 + 5.30261i −0.784676 + 0.453033i −0.838085 0.545540i \(-0.816325\pi\)
0.0534088 + 0.998573i \(0.482991\pi\)
\(138\) −2.36165 −0.201037
\(139\) 14.2433 8.22339i 1.20810 0.697499i 0.245759 0.969331i \(-0.420963\pi\)
0.962345 + 0.271832i \(0.0876294\pi\)
\(140\) −6.65378 + 2.10427i −0.562347 + 0.177844i
\(141\) 4.58062 1.22737i 0.385758 0.103364i
\(142\) 9.52248 9.52248i 0.799108 0.799108i
\(143\) −0.596377 + 2.26938i −0.0498715 + 0.189775i
\(144\) 1.00000i 0.0833333i
\(145\) −19.6060 + 6.20043i −1.62819 + 0.514917i
\(146\) −1.22580 + 2.12314i −0.101448 + 0.175712i
\(147\) −2.64679 0.709205i −0.218304 0.0584943i
\(148\) 7.60086i 0.624786i
\(149\) −3.53174 + 13.1806i −0.289331 + 1.07980i 0.656284 + 0.754514i \(0.272127\pi\)
−0.945616 + 0.325286i \(0.894539\pi\)
\(150\) −0.859701 + 4.92554i −0.0701943 + 0.402168i
\(151\) −11.3033 11.3033i −0.919852 0.919852i 0.0771662 0.997018i \(-0.475413\pi\)
−0.997018 + 0.0771662i \(0.975413\pi\)
\(152\) 0.264302 0.986389i 0.0214377 0.0800067i
\(153\) 0.0844736 0.0226346i 0.00682928 0.00182990i
\(154\) −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 \(0.709261\pi\)
\(158\) −9.04413 5.22163i −0.719513 0.415411i
\(159\) −7.48287 4.32024i −0.593430 0.342617i
\(160\) 2.18348 + 0.482081i 0.172619 + 0.0381118i
\(161\) 5.21175 5.21175i 0.410743 0.410743i
\(162\) −0.500000 0.866025i −0.0392837 0.0680414i
\(163\) 7.91529 + 13.7097i 0.619973 + 1.07383i 0.989490 + 0.144601i \(0.0461899\pi\)
−0.369517 + 0.929224i \(0.620477\pi\)
\(164\) −2.46166 + 2.46166i −0.192224 + 0.192224i
\(165\) −1.42098 0.313731i −0.110623 0.0244239i
\(166\) −1.31070 0.756731i −0.101730 0.0587337i
\(167\) −15.5369 8.97024i −1.20228 0.694138i −0.241221 0.970470i \(-0.577548\pi\)
−0.961062 + 0.276332i \(0.910881\pi\)
\(168\) 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
\(172\) 9.73152 2.60755i 0.742021 0.198824i
\(173\) 0.0850494 0.317409i 0.00646619 0.0241321i −0.962617 0.270865i \(-0.912690\pi\)
0.969084 + 0.246733i \(0.0793570\pi\)
\(174\) 6.50261 + 6.50261i 0.492961 + 0.492961i
\(175\) −8.97259 12.7670i −0.678264 0.965095i
\(176\) −0.168435 + 0.628610i −0.0126963 + 0.0473832i
\(177\) 13.2396i 0.995147i
\(178\) −18.0823 4.84513i −1.35532 0.363158i
\(179\) −10.9575 + 18.9789i −0.819001 + 1.41855i 0.0874180 + 0.996172i \(0.472138\pi\)
−0.906419 + 0.422380i \(0.861195\pi\)
\(180\) 2.13199 0.674247i 0.158909 0.0502554i
\(181\) 6.11180i 0.454286i 0.973861 + 0.227143i \(0.0729385\pi\)
−0.973861 + 0.227143i \(0.927061\pi\)
\(182\) 9.77207 + 5.57931i 0.724354 + 0.413566i
\(183\) 4.81140 4.81140i 0.355669 0.355669i
\(184\) −2.28118 + 0.611240i −0.168171 + 0.0450612i
\(185\) 16.2050 5.12486i 1.19141 0.376787i
\(186\) 1.72150 0.993907i 0.126226 0.0728768i
\(187\) −0.0569134 −0.00416192
\(188\) 4.10687 2.37110i 0.299525 0.172931i
\(189\) 3.01458 + 0.807754i 0.219278 + 0.0587555i
\(190\) 2.28118 0.101580i 0.165494 0.00736939i
\(191\) −2.41078 4.17559i −0.174438 0.302135i 0.765529 0.643401i \(-0.222477\pi\)
−0.939966 + 0.341267i \(0.889144\pi\)
\(192\) −0.258819 0.965926i −0.0186787 0.0697097i
\(193\) −1.53169 + 2.65297i −0.110254 + 0.190965i −0.915872 0.401469i \(-0.868500\pi\)
0.805619 + 0.592434i \(0.201833\pi\)
\(194\) 5.11701 0.367380
\(195\) 6.77491 4.37043i 0.485161 0.312973i
\(196\) −2.74016 −0.195726
\(197\) 1.03318 1.78952i 0.0736108 0.127498i −0.826871 0.562392i \(-0.809881\pi\)
0.900481 + 0.434895i \(0.143214\pi\)
\(198\) 0.168435 + 0.628610i 0.0119702 + 0.0446733i
\(199\) 2.09521 + 3.62902i 0.148526 + 0.257254i 0.930683 0.365827i \(-0.119214\pi\)
−0.782157 + 0.623081i \(0.785881\pi\)
\(200\) 0.444415 + 4.98021i 0.0314249 + 0.352154i
\(201\) 10.4756 + 2.80692i 0.738889 + 0.197985i
\(202\) 3.59747 2.07700i 0.253117 0.146137i
\(203\) −28.7002 −2.01436
\(204\) 0.0757369 0.0437267i 0.00530265 0.00306148i
\(205\) −6.90802 3.58848i −0.482477 0.250630i
\(206\) 12.1453 3.25432i 0.846202 0.226739i
\(207\) −1.66994 + 1.66994i −0.116069 + 0.116069i
\(208\) −1.81780 3.11378i −0.126042 0.215902i
\(209\) 0.664572i 0.0459694i
\(210\) −3.21699 + 6.19288i −0.221993 + 0.427349i
\(211\) 6.34508 10.9900i 0.436813 0.756583i −0.560628 0.828068i \(-0.689440\pi\)
0.997442 + 0.0714847i \(0.0227737\pi\)
\(212\) −8.34606 2.23632i −0.573210 0.153591i
\(213\) 13.4668i 0.922731i
\(214\) 0.860303 3.21069i 0.0588091 0.219478i
\(215\) 12.1207 + 18.9894i 0.826627 + 1.29507i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −1.60567 + 5.99242i −0.109000 + 0.406792i
\(218\) −11.6649 + 3.12559i −0.790044 + 0.211692i
\(219\) 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
\(223\) −12.4074 7.16344i −0.830863 0.479699i 0.0232849 0.999729i \(-0.492588\pi\)
−0.854148 + 0.520030i \(0.825921\pi\)
\(224\) 2.70280 + 1.56046i 0.180588 + 0.104263i
\(225\) 2.87498 + 4.09078i 0.191665 + 0.272719i
\(226\) −4.83074 + 4.83074i −0.321336 + 0.321336i
\(227\) −8.50979 14.7394i −0.564815 0.978288i −0.997067 0.0765352i \(-0.975614\pi\)
0.432252 0.901753i \(-0.357719\pi\)
\(228\) −0.510593 0.884372i −0.0338148 0.0585690i
\(229\) −11.8234 + 11.8234i −0.781309 + 0.781309i −0.980052 0.198742i \(-0.936314\pi\)
0.198742 + 0.980052i \(0.436314\pi\)
\(230\) −2.84124 4.45133i −0.187346 0.293512i
\(231\) −1.75894 1.01552i −0.115730 0.0668166i
\(232\) 7.96403 + 4.59804i 0.522864 + 0.301876i
\(233\) −1.14372 1.14372i −0.0749275 0.0749275i 0.668650 0.743577i \(-0.266873\pi\)
−0.743577 + 0.668650i \(0.766873\pi\)
\(234\) −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
\(237\) −10.0874 + 2.70292i −0.655248 + 0.175573i
\(238\) −0.0706409 + 0.263636i −0.00457897 + 0.0170890i
\(239\) 0.186214 + 0.186214i 0.0120452 + 0.0120452i 0.713104 0.701059i \(-0.247289\pi\)
−0.701059 + 0.713104i \(0.747289\pi\)
\(240\) 1.88484 1.20307i 0.121666 0.0776580i
\(241\) 6.98567 26.0709i 0.449987 1.67937i −0.252437 0.967613i \(-0.581232\pi\)
0.702423 0.711759i \(-0.252101\pi\)
\(242\) 10.5765i 0.679882i
\(243\) −0.965926 0.258819i −0.0619642 0.0166032i
\(244\) 3.40217 5.89274i 0.217802 0.377244i
\(245\) −1.84754 5.84200i −0.118035 0.373232i
\(246\) 3.48132i 0.221961i
\(247\) −2.61603 2.59095i −0.166454 0.164858i
\(248\) 1.40560 1.40560i 0.0892555 0.0892555i
\(249\) −1.46189 + 0.391713i −0.0926436 + 0.0248238i
\(250\) −10.3181 + 4.30538i −0.652575 + 0.272296i
\(251\) −1.82325 + 1.05266i −0.115083 + 0.0664430i −0.556436 0.830890i \(-0.687832\pi\)
0.441354 + 0.897333i \(0.354498\pi\)
\(252\) 3.12092 0.196600
\(253\) 1.33102 0.768463i 0.0836803 0.0483128i
\(254\) 5.79169 + 1.55188i 0.363403 + 0.0973736i
\(255\) 0.144291 + 0.131988i 0.00903582 + 0.00826541i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −2.98037 11.1229i −0.185910 0.693827i −0.994434 0.105363i \(-0.966400\pi\)
0.808523 0.588464i \(-0.200267\pi\)
\(258\) 5.03741 8.72504i 0.313615 0.543197i
\(259\) 23.7217 1.47399
\(260\) 5.41291 5.97499i 0.335694 0.370553i
\(261\) 9.19607 0.569223
\(262\) −2.31825 + 4.01534i −0.143222 + 0.248068i
\(263\) −0.193354 0.721608i −0.0119227 0.0444963i 0.959708 0.280999i \(-0.0906656\pi\)
−0.971631 + 0.236502i \(0.923999\pi\)
\(264\) 0.325392 + 0.563596i 0.0200265 + 0.0346869i
\(265\) −0.859491 19.3016i −0.0527981 1.18569i
\(266\) 3.07844 + 0.824867i 0.188752 + 0.0505758i
\(267\) −16.2121 + 9.36007i −0.992165 + 0.572827i
\(268\) 10.8451 0.662470
\(269\) −13.5976 + 7.85055i −0.829058 + 0.478657i −0.853530 0.521044i \(-0.825543\pi\)
0.0244723 + 0.999701i \(0.492209\pi\)
\(270\) 1.03078 1.98431i 0.0627313 0.120761i
\(271\) −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
\(273\) 10.8551 2.96473i 0.656978 0.179433i
\(274\) 10.6052i 0.640685i
\(275\) −1.11821 3.05575i −0.0674305 0.184269i
\(276\) −1.18083 + 2.04525i −0.0710773 + 0.123110i
\(277\) 3.82420 + 1.02469i 0.229774 + 0.0615677i 0.371869 0.928285i \(-0.378717\pi\)
−0.142095 + 0.989853i \(0.545384\pi\)
\(278\) 16.4468i 0.986413i
\(279\) 0.514484 1.92008i 0.0308014 0.114952i
\(280\) −1.50454 + 6.81448i −0.0899133 + 0.407243i
\(281\) −16.6714 16.6714i −0.994534 0.994534i 0.00545067 0.999985i \(-0.498265\pi\)
−0.999985 + 0.00545067i \(0.998265\pi\)
\(282\) 1.22737 4.58062i 0.0730891 0.272772i
\(283\) 29.8822 8.00692i 1.77631 0.475962i 0.786410 0.617705i \(-0.211937\pi\)
0.989903 + 0.141743i \(0.0452707\pi\)
\(284\) −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
\(288\) −0.866025 0.500000i −0.0510310 0.0294628i
\(289\) −14.7158 8.49618i −0.865636 0.499775i
\(290\) −4.43325 + 20.0795i −0.260329 + 1.17911i
\(291\) 3.61828 3.61828i 0.212107 0.212107i
\(292\) 1.22580 + 2.12314i 0.0717343 + 0.124247i
\(293\) 10.1707 + 17.6162i 0.594178 + 1.02915i 0.993662 + 0.112407i \(0.0358560\pi\)
−0.399484 + 0.916740i \(0.630811\pi\)
\(294\) −1.93758 + 1.93758i −0.113002 + 0.113002i
\(295\) 24.9544 15.9282i 1.45290 0.927373i
\(296\) −6.58253 3.80043i −0.382602 0.220895i
\(297\) 0.563596 + 0.325392i 0.0327032 + 0.0188812i
\(298\) 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
\(302\) −15.4406 + 4.13731i −0.888509 + 0.238075i
\(303\) 1.07513 4.01245i 0.0617648 0.230509i
\(304\) −0.722087 0.722087i −0.0414145 0.0414145i
\(305\) 14.8572 + 3.28025i 0.850720 + 0.187826i
\(306\) 0.0226346 0.0844736i 0.00129394 0.00482903i
\(307\) 14.2902i 0.815585i 0.913075 + 0.407792i \(0.133701\pi\)
−0.913075 + 0.407792i \(0.866299\pi\)
\(308\) −1.96184 0.525674i −0.111786 0.0299531i
\(309\) 6.28686 10.8892i 0.357647 0.619463i
\(310\) 3.94444 + 2.04900i 0.224029 + 0.116375i
\(311\) 24.6571i 1.39818i 0.715034 + 0.699089i \(0.246411\pi\)
−0.715034 + 0.699089i \(0.753589\pi\)
\(312\) −3.48715 0.916397i −0.197421 0.0518807i
\(313\) 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
\(315\) 2.10427 + 6.65378i 0.118562 + 0.374898i
\(316\) −9.04413 + 5.22163i −0.508772 + 0.293740i
\(317\) −10.2414 −0.575212 −0.287606 0.957749i \(-0.592859\pi\)
−0.287606 + 0.957749i \(0.592859\pi\)
\(318\) −7.48287 + 4.32024i −0.419619 + 0.242267i
\(319\) −5.78074 1.54894i −0.323659 0.0867243i
\(320\) 1.50924 1.64991i 0.0843688 0.0922329i
\(321\) −1.66198 2.87863i −0.0927625 0.160669i
\(322\) −1.90763 7.11938i −0.106308 0.396748i
\(323\) 0.0446531 0.0773414i 0.00248457 0.00430339i
\(324\) −1.00000 −0.0555556
\(325\) 16.3883 + 7.51165i 0.909057 + 0.416672i
\(326\) 15.8306 0.876775
\(327\) −6.03818 + 10.4584i −0.333912 + 0.578353i
\(328\) 0.901032 + 3.36270i 0.0497512 + 0.185674i
\(329\) 7.40003 + 12.8172i 0.407977 + 0.706637i
\(330\) −0.982187 + 1.07374i −0.0540676 + 0.0591073i
\(331\) −22.3557 5.99019i −1.22878 0.329251i −0.414676 0.909969i \(-0.636105\pi\)
−0.814105 + 0.580718i \(0.802772\pi\)
\(332\) −1.31070 + 0.756731i −0.0719338 + 0.0415310i
\(333\) −7.60086 −0.416524
\(334\) −15.5369 + 8.97024i −0.850142 + 0.490830i
\(335\) 7.31228 + 23.1217i 0.399513 + 1.26327i
\(336\) 3.01458 0.807754i 0.164459 0.0440666i
\(337\) 18.6883 18.6883i 1.01801 1.01801i 0.0181791 0.999835i \(-0.494213\pi\)
0.999835 0.0181791i \(-0.00578691\pi\)
\(338\) −12.9994 + 0.125253i −0.707074 + 0.00681286i
\(339\) 6.83170i 0.371047i
\(340\) 0.173535 + 0.0901454i 0.00941125 + 0.00488882i
\(341\) −0.646819 + 1.12032i −0.0350272 + 0.0606690i
\(342\) −0.986389 0.264302i −0.0533378 0.0142918i
\(343\) 13.2946i 0.717843i
\(344\) 2.60755 9.73152i 0.140590 0.524688i
\(345\) −5.15662 1.13851i −0.277623 0.0612951i
\(346\) −0.232359 0.232359i −0.0124917 0.0124917i
\(347\) −5.12493 + 19.1265i −0.275121 + 1.02676i 0.680640 + 0.732618i \(0.261702\pi\)
−0.955761 + 0.294146i \(0.904965\pi\)
\(348\) 8.88272 2.38012i 0.476164 0.127588i
\(349\) 0.0805064 + 0.300454i 0.00430941 + 0.0160829i 0.968047 0.250769i \(-0.0806833\pi\)
−0.963738 + 0.266852i \(0.914017\pi\)
\(350\) −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
\(353\) 25.7121 + 14.8449i 1.36852 + 0.790114i 0.990739 0.135782i \(-0.0433546\pi\)
0.377779 + 0.925896i \(0.376688\pi\)
\(354\) −11.4658 6.61978i −0.609400 0.351837i
\(355\) 25.3828 16.2016i 1.34718 0.859890i
\(356\) −13.2371 + 13.2371i −0.701567 + 0.701567i
\(357\) 0.136468 + 0.236369i 0.00722264 + 0.0125100i
\(358\) 10.9575 + 18.9789i 0.579121 + 1.00307i
\(359\) −24.4058 + 24.4058i −1.28809 + 1.28809i −0.352143 + 0.935946i \(0.614547\pi\)
−0.935946 + 0.352143i \(0.885453\pi\)
\(360\) 0.482081 2.18348i 0.0254079 0.115080i
\(361\) 15.5514 + 8.97859i 0.818493 + 0.472557i
\(362\) 5.29297 + 3.05590i 0.278192 + 0.160614i
\(363\) 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
\(367\) 29.7480 7.97094i 1.55283 0.416080i 0.622445 0.782663i \(-0.286139\pi\)
0.930385 + 0.366584i \(0.119473\pi\)
\(368\) −0.611240 + 2.28118i −0.0318631 + 0.118915i
\(369\) 2.46166 + 2.46166i 0.128149 + 0.128149i
\(370\) 3.66423 16.5963i 0.190494 0.862803i
\(371\) 6.97938 26.0474i 0.362351 1.35231i
\(372\) 1.98781i 0.103063i
\(373\) −1.75531 0.470335i −0.0908867 0.0243530i 0.213089 0.977033i \(-0.431648\pi\)
−0.303976 + 0.952680i \(0.598314\pi\)
\(374\) −0.0284567 + 0.0492884i −0.00147146 + 0.00254864i
\(375\) −4.25165 + 10.3404i −0.219554 + 0.533975i
\(376\) 4.74221i 0.244561i
\(377\) 28.6345 16.7166i 1.47475 0.860948i
\(378\) 2.20683 2.20683i 0.113507 0.113507i
\(379\) 6.00997 1.61037i 0.308712 0.0827190i −0.101137 0.994872i \(-0.532248\pi\)
0.409849 + 0.912153i \(0.365581\pi\)
\(380\) 1.05262 2.02635i 0.0539982 0.103950i
\(381\) 5.19269 2.99800i 0.266030 0.153592i
\(382\) −4.82155 −0.246692
\(383\) −0.919738 + 0.531011i −0.0469964 + 0.0271334i −0.523314 0.852140i \(-0.675305\pi\)
0.476318 + 0.879273i \(0.341971\pi\)
\(384\) −0.965926 0.258819i −0.0492922 0.0132078i
\(385\) −0.202034 4.53707i −0.0102966 0.231230i
\(386\) 1.53169 + 2.65297i 0.0779611 + 0.135033i
\(387\) −2.60755 9.73152i −0.132549 0.494681i
\(388\) 2.55851 4.43146i 0.129889 0.224974i
\(389\) −32.8035 −1.66320 −0.831602 0.555372i \(-0.812576\pi\)
−0.831602 + 0.555372i \(0.812576\pi\)
\(390\) −0.397451 8.05246i −0.0201257 0.407752i
\(391\) −0.206535 −0.0104449
\(392\) −1.37008 + 2.37305i −0.0691995 + 0.119857i
\(393\) 1.20002 + 4.47852i 0.0605329 + 0.225912i
\(394\) −1.03318 1.78952i −0.0520507 0.0901545i
\(395\) −17.2305 15.7614i −0.866959 0.793040i
\(396\) 0.628610 + 0.168435i 0.0315888 + 0.00846420i
\(397\) −32.3861 + 18.6981i −1.62541 + 0.938431i −0.639971 + 0.768399i \(0.721054\pi\)
−0.985439 + 0.170031i \(0.945613\pi\)
\(398\) 4.19043 0.210047
\(399\) 2.76006 1.59352i 0.138176 0.0797758i
\(400\) 4.53520 + 2.10523i 0.226760 + 0.105262i
\(401\) −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
\(403\) −1.88833 6.91393i −0.0940643 0.344408i
\(404\) 4.15400i 0.206669i
\(405\) −0.674247 2.13199i −0.0335036 0.105940i
\(406\) −14.3501 + 24.8551i −0.712184 + 1.23354i
\(407\) 4.77797 + 1.28025i 0.236835 + 0.0634598i
\(408\) 0.0874535i 0.00432959i
\(409\) −6.85691 + 25.5903i −0.339052 + 1.26536i 0.560356 + 0.828252i \(0.310664\pi\)
−0.899409 + 0.437109i \(0.856002\pi\)
\(410\) −6.56172 + 4.18828i −0.324060 + 0.206844i
\(411\) 7.49903 + 7.49903i 0.369900 + 0.369900i
\(412\) 3.25432 12.1453i 0.160329 0.598355i
\(413\) 39.9117 10.6943i 1.96393 0.526233i
\(414\) 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
\(418\) 0.575536 + 0.332286i 0.0281504 + 0.0162526i
\(419\) 9.10788 + 5.25844i 0.444949 + 0.256891i 0.705695 0.708516i \(-0.250635\pi\)
−0.260746 + 0.965408i \(0.583968\pi\)
\(420\) 3.75470 + 5.88243i 0.183211 + 0.287033i
\(421\) 2.06316 2.06316i 0.100552 0.100552i −0.655041 0.755593i \(-0.727349\pi\)
0.755593 + 0.655041i \(0.227349\pi\)
\(422\) −6.34508 10.9900i −0.308874 0.534985i
\(423\) −2.37110 4.10687i −0.115287 0.199683i
\(424\) −6.10974 + 6.10974i −0.296715 + 0.296715i
\(425\) −0.0751839 + 0.430755i −0.00364695 + 0.0208947i
\(426\) −11.6626 6.73341i −0.565055 0.326235i
\(427\) 18.3908 + 10.6179i 0.889992 + 0.513837i
\(428\) −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 \(-0.226211\pi\)
\(432\) −0.965926 + 0.258819i −0.0464731 + 0.0124524i
\(433\) −9.13438 + 34.0900i −0.438970 + 1.63826i 0.292413 + 0.956292i \(0.405542\pi\)
−0.731383 + 0.681967i \(0.761125\pi\)
\(434\) 4.38676 + 4.38676i 0.210571 + 0.210571i
\(435\) 11.0635 + 17.3331i 0.530456 + 0.831059i
\(436\) −3.12559 + 11.6649i −0.149689 + 0.558646i
\(437\) 2.41168i 0.115366i
\(438\) 2.36806 + 0.634519i 0.113150 + 0.0303185i
\(439\) −2.75416 + 4.77035i −0.131449 + 0.227677i −0.924235 0.381823i \(-0.875296\pi\)
0.792786 + 0.609500i \(0.208630\pi\)
\(440\) −0.670817 + 1.29136i −0.0319799 + 0.0615631i
\(441\) 2.74016i 0.130484i
\(442\) −0.0830766 0.304177i −0.00395155 0.0144682i
\(443\) 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
\(445\) −37.1466 19.2964i −1.76092 0.914736i
\(446\) −12.4074 + 7.16344i −0.587509 + 0.339199i
\(447\) 13.6456 0.645415
\(448\) 2.70280 1.56046i 0.127695 0.0737249i
\(449\) 27.8644 + 7.46623i 1.31500 + 0.352353i 0.847103 0.531429i \(-0.178345\pi\)
0.467898 + 0.883782i \(0.345011\pi\)
\(450\) 4.98021 0.444415i 0.234769 0.0209499i
\(451\) −1.13279 1.96206i −0.0533412 0.0923897i
\(452\) 1.76817 + 6.59892i 0.0831679 + 0.310387i
\(453\) −7.99266 + 13.8437i −0.375528 + 0.650434i
\(454\) −17.0196 −0.798769
\(455\) 18.6475 + 16.8933i 0.874207 + 0.791968i
\(456\) −1.02119 −0.0478214
\(457\) 20.0655 34.7545i 0.938627 1.62575i 0.170591 0.985342i \(-0.445432\pi\)
0.768036 0.640407i \(-0.221234\pi\)
\(458\) 4.32765 + 16.1510i 0.202218 + 0.754687i
\(459\) −0.0437267 0.0757369i −0.00204099 0.00353510i
\(460\) −5.27558 + 0.234920i −0.245975 + 0.0109532i
\(461\) −16.2685 4.35912i −0.757698 0.203025i −0.140768 0.990043i \(-0.544957\pi\)
−0.616930 + 0.787018i \(0.711624\pi\)
\(462\) −1.75894 + 1.01552i −0.0818333 + 0.0472465i
\(463\) −38.5945 −1.79364 −0.896818 0.442399i \(-0.854128\pi\)
−0.896818 + 0.442399i \(0.854128\pi\)
\(464\) 7.96403 4.59804i 0.369721 0.213458i
\(465\) 4.23800 1.34028i 0.196533 0.0621539i
\(466\) −1.56235 + 0.418630i −0.0723744 + 0.0193927i
\(467\) −15.2256 + 15.2256i −0.704556 + 0.704556i −0.965385 0.260829i \(-0.916004\pi\)
0.260829 + 0.965385i \(0.416004\pi\)
\(468\) −3.11378 + 1.81780i −0.143934 + 0.0840277i
\(469\) 33.8467i 1.56290i
\(470\) 10.1104 3.19742i 0.466356 0.147486i
\(471\) 1.59929 2.77005i 0.0736913 0.127637i
\(472\) −12.7884 3.42665i −0.588635 0.157724i
\(473\) 6.55653i 0.301470i
\(474\) −2.70292 + 10.0874i −0.124149 + 0.463331i
\(475\) 5.02989 + 0.877914i 0.230787 + 0.0402815i
\(476\) 0.192995 + 0.192995i 0.00884589 + 0.00884589i
\(477\) −2.23632 + 8.34606i −0.102394 + 0.382140i
\(478\) 0.254373 0.0681589i 0.0116347 0.00311752i
\(479\) −3.98679 14.8789i −0.182161 0.679835i −0.995220 0.0976537i \(-0.968866\pi\)
0.813059 0.582181i \(-0.197800\pi\)
\(480\) −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
\(483\) −6.38306 3.68526i −0.290439 0.167685i
\(484\) 9.15950 + 5.28824i 0.416341 + 0.240375i
\(485\) 11.1729 + 2.46681i 0.507336 + 0.112012i
\(486\) −0.707107 + 0.707107i −0.0320750 + 0.0320750i
\(487\) −9.42678 16.3277i −0.427168 0.739877i 0.569452 0.822025i \(-0.307155\pi\)
−0.996620 + 0.0821477i \(0.973822\pi\)
\(488\) −3.40217 5.89274i −0.154009 0.266752i
\(489\) 11.1939 11.1939i 0.506206 0.506206i
\(490\) −5.98309 1.32098i −0.270288 0.0596757i
\(491\) −4.22759 2.44080i −0.190789 0.110152i 0.401563 0.915831i \(-0.368467\pi\)
−0.592352 + 0.805680i \(0.701800\pi\)
\(492\) 3.01491 + 1.74066i 0.135923 + 0.0784750i
\(493\) 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
\(497\) 40.5968 10.8779i 1.82101 0.487939i
\(498\) −0.391713 + 1.46189i −0.0175531 + 0.0655090i
\(499\) −6.12464 6.12464i −0.274176 0.274176i 0.556603 0.830779i \(-0.312105\pi\)
−0.830779 + 0.556603i \(0.812105\pi\)
\(500\) −1.43049 + 11.0884i −0.0639735 + 0.495891i
\(501\) −4.64334 + 17.3292i −0.207449 + 0.774211i
\(502\) 2.10531i 0.0939646i
\(503\) 24.4571 + 6.55326i 1.09049 + 0.292196i 0.758886 0.651223i \(-0.225744\pi\)
0.331603 + 0.943419i \(0.392411\pi\)
\(504\) 1.56046 2.70280i 0.0695085 0.120392i
\(505\) 8.85629 2.80082i 0.394100 0.124635i
\(506\) 1.53693i 0.0683247i
\(507\) −9.10339 + 9.28053i −0.404296 + 0.412163i
\(508\) 4.23981 4.23981i 0.188111 0.188111i
\(509\) 11.3870 3.05113i 0.504719 0.135239i 0.00252998 0.999997i \(-0.499195\pi\)
0.502189 + 0.864758i \(0.332528\pi\)
\(510\) 0.186450 0.0589653i 0.00825615 0.00261103i
\(511\) −6.62616 + 3.82562i −0.293124 + 0.169235i
\(512\) −1.00000 −0.0441942
\(513\) −0.884372 + 0.510593i −0.0390460 + 0.0225432i
\(514\) −11.1229 2.98037i −0.490610 0.131458i
\(515\) 28.0879 1.25074i 1.23770 0.0551143i
\(516\) −5.03741 8.72504i −0.221759 0.384099i
\(517\) 0.798756 + 2.98100i 0.0351293 + 0.131104i
\(518\) 11.8608 20.5436i 0.521135 0.902633i
\(519\) −0.328606 −0.0144242
\(520\) −2.46804 7.67521i −0.108231 0.336580i
\(521\) 7.65452 0.335351 0.167675 0.985842i \(-0.446374\pi\)
0.167675 + 0.985842i \(0.446374\pi\)
\(522\) 4.59804 7.96403i 0.201251 0.348576i
\(523\) −7.63073 28.4783i −0.333669 1.24527i −0.905305 0.424762i \(-0.860358\pi\)
0.571636 0.820507i \(-0.306309\pi\)
\(524\) 2.31825 + 4.01534i 0.101273 + 0.175411i
\(525\) −10.0097 + 11.9712i −0.436860 + 0.522466i
\(526\) −0.721608 0.193354i −0.0314636 0.00843065i
\(527\) 0.150551 0.0869206i 0.00655810 0.00378632i
\(528\) 0.650785 0.0283218
\(529\) −15.0884 + 8.71130i −0.656018 + 0.378752i
\(530\) −17.1454 8.90644i −0.744748 0.386871i
\(531\) −12.7884 + 3.42665i −0.554971 + 0.148704i
\(532\) 2.25358 2.25358i 0.0977050 0.0977050i
\(533\) 12.1399 + 3.19027i 0.525837 + 0.138186i
\(534\) 18.7201i 0.810100i
\(535\) 3.42627 6.59576i 0.148131 0.285160i
\(536\) 5.42255 9.39213i 0.234219 0.405678i
\(537\) 21.1682 + 5.67201i 0.913477 + 0.244765i
\(538\) 15.7011i 0.676923i
\(539\) 0.461540 1.72249i 0.0198799 0.0741929i
\(540\) −1.20307 1.88484i −0.0517720 0.0811105i
\(541\) −7.28454 7.28454i −0.313187 0.313187i 0.532956 0.846143i \(-0.321081\pi\)
−0.846143 + 0.532956i \(0.821081\pi\)
\(542\) −2.20407 + 8.22569i −0.0946728 + 0.353324i
\(543\) 5.90354 1.58185i 0.253345 0.0678837i
\(544\) −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 \(0.829001\pi\)
\(548\) 9.18440 + 5.30261i 0.392338 + 0.226516i
\(549\) −5.89274 3.40217i −0.251496 0.145201i
\(550\) −3.20546 0.559480i −0.136681 0.0238563i
\(551\) 6.64036 6.64036i 0.282889 0.282889i
\(552\) 1.18083 + 2.04525i 0.0502593 + 0.0870516i
\(553\) −16.2963 28.2260i −0.692990 1.20029i
\(554\) 2.79951 2.79951i 0.118940 0.118940i
\(555\) −9.14438 14.3264i −0.388157 0.608121i
\(556\) −14.2433 8.22339i −0.604052 0.348750i
\(557\) −15.7081 9.06907i −0.665573 0.384269i 0.128824 0.991667i \(-0.458880\pi\)
−0.794397 + 0.607399i \(0.792213\pi\)
\(558\) −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
\(562\) −22.7736 + 6.10217i −0.960647 + 0.257404i
\(563\) 9.04247 33.7469i 0.381094 1.42226i −0.463138 0.886286i \(-0.653276\pi\)
0.844232 0.535978i \(-0.180057\pi\)
\(564\) −3.35325 3.35325i −0.141197 0.141197i
\(565\) −12.8767 + 8.21904i −0.541725 + 0.345778i
\(566\) 8.00692 29.8822i 0.336556 1.25604i
\(567\) 3.12092i 0.131066i
\(568\) −13.0079 3.48547i −0.545801 0.146247i
\(569\) 12.2319 21.1863i 0.512790 0.888178i −0.487100 0.873346i \(-0.661945\pi\)
0.999890 0.0148316i \(-0.00472122\pi\)
\(570\) −0.688531 2.17716i −0.0288394 0.0911911i
\(571\) 22.5270i 0.942727i −0.881939 0.471364i \(-0.843762\pi\)
0.881939 0.471364i \(-0.156238\pi\)
\(572\) 2.26353 0.618214i 0.0946431 0.0258488i
\(573\) −3.40935 + 3.40935i −0.142428 + 0.142428i
\(574\) −10.4947 + 2.81205i −0.438041 + 0.117373i
\(575\) −4.05789 11.0891i −0.169226 0.462448i
\(576\) −0.866025 + 0.500000i −0.0360844 + 0.0208333i
\(577\) 32.1391 1.33797 0.668985 0.743276i \(-0.266729\pi\)
0.668985 + 0.743276i \(0.266729\pi\)
\(578\) −14.7158 + 8.49618i −0.612097 + 0.353394i
\(579\) 2.95900 + 0.792862i 0.122972 + 0.0329502i
\(580\) 15.1727 + 13.8790i 0.630012 + 0.576296i
\(581\) −2.36170 4.09058i −0.0979798 0.169706i
\(582\) −1.32438 4.94266i −0.0548973 0.204880i
\(583\) 2.81154 4.86974i 0.116442 0.201684i
\(584\) 2.45159 0.101448
\(585\) −5.97499 5.41291i −0.247035 0.223796i
\(586\) 20.3414 0.840295
\(587\) 9.98075 17.2872i 0.411950 0.713517i −0.583153 0.812362i \(-0.698181\pi\)
0.995103 + 0.0988446i \(0.0315147\pi\)
\(588\) 0.709205 + 2.64679i 0.0292471 + 0.109152i
\(589\) −1.01496 1.75797i −0.0418208 0.0724358i
\(590\) −1.31698 29.5753i −0.0542190 1.21759i
\(591\) −1.99594 0.534812i −0.0821022 0.0219992i
\(592\) −6.58253 + 3.80043i −0.270540 + 0.156197i
\(593\) 4.57405 0.187834 0.0939169 0.995580i \(-0.470061\pi\)
0.0939169 + 0.995580i \(0.470061\pi\)
\(594\) 0.563596 0.325392i 0.0231246 0.0133510i
\(595\) −0.281337 + 0.541589i −0.0115337 + 0.0222030i
\(596\) 13.1806 3.53174i 0.539900 0.144666i
\(597\) 2.96308 2.96308i 0.121271 0.121271i
\(598\) 6.04999 + 5.99197i 0.247402 + 0.245030i
\(599\) 26.5385i 1.08433i −0.840271 0.542167i \(-0.817604\pi\)
0.840271 0.542167i \(-0.182396\pi\)
\(600\) 4.69549 1.71825i 0.191693 0.0701471i
\(601\) 13.3672 23.1528i 0.545261 0.944420i −0.453329 0.891343i \(-0.649764\pi\)
0.998590 0.0530772i \(-0.0169029\pi\)
\(602\) 30.3713 + 8.13797i 1.23784 + 0.331679i
\(603\) 10.8451i 0.441647i
\(604\) −4.13731 + 15.4406i −0.168345 + 0.628271i
\(605\) −5.09872 + 23.0936i −0.207292 + 0.938887i
\(606\) −2.93732 2.93732i −0.119320 0.119320i
\(607\) −3.14802 + 11.7486i −0.127774 + 0.476860i −0.999923 0.0123802i \(-0.996059\pi\)
0.872149 + 0.489240i \(0.162726\pi\)
\(608\) −0.986389 + 0.264302i −0.0400034 + 0.0107189i
\(609\) 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
\(613\) −17.4627 10.0821i −0.705311 0.407212i 0.104011 0.994576i \(-0.466832\pi\)
−0.809323 + 0.587364i \(0.800166\pi\)
\(614\) 12.3757 + 7.14510i 0.499442 + 0.288353i
\(615\) −1.67828 + 7.60140i −0.0676747 + 0.306518i
\(616\) −1.43617 + 1.43617i −0.0578649 + 0.0578649i
\(617\) −18.8232 32.6028i −0.757794 1.31254i −0.943973 0.330023i \(-0.892944\pi\)
0.186179 0.982516i \(-0.440390\pi\)
\(618\) −6.28686 10.8892i −0.252895 0.438026i
\(619\) 27.2529 27.2529i 1.09539 1.09539i 0.100442 0.994943i \(-0.467974\pi\)
0.994943 0.100442i \(-0.0320258\pi\)
\(620\) 3.74671 2.39149i 0.150471 0.0960444i
\(621\) 2.04525 + 1.18083i 0.0820730 + 0.0473849i
\(622\) 21.3537 + 12.3286i 0.856206 + 0.494331i
\(623\) −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
\(627\) 0.641927 0.172004i 0.0256361 0.00686917i
\(628\) 0.827852 3.08959i 0.0330349 0.123288i
\(629\) −0.470029 0.470029i −0.0187413 0.0187413i
\(630\) 6.81448 + 1.50454i 0.271495 + 0.0599422i
\(631\) 2.11491 7.89297i 0.0841934 0.314214i −0.910967 0.412480i \(-0.864663\pi\)
0.995160 + 0.0982656i \(0.0313295\pi\)
\(632\) 10.4433i 0.415411i
\(633\) −12.2578 3.28446i −0.487202 0.130545i
\(634\) −5.12068 + 8.86927i −0.203368 + 0.352244i
\(635\) 11.8979 + 6.18057i 0.472155 + 0.245268i
\(636\) 8.64047i 0.342617i
\(637\) 4.98105 + 8.53225i 0.197357 + 0.338060i
\(638\) −4.23180 + 4.23180i −0.167538 + 0.167538i
\(639\) −13.0079 + 3.48547i −0.514586 + 0.137883i
\(640\) −0.674247 2.13199i −0.0266520 0.0842744i
\(641\) −15.0450 + 8.68624i −0.594242 + 0.343086i −0.766773 0.641918i \(-0.778139\pi\)
0.172531 + 0.985004i \(0.444805\pi\)
\(642\) −3.32395 −0.131186
\(643\) 17.8672 10.3157i 0.704615 0.406810i −0.104449 0.994530i \(-0.533308\pi\)
0.809064 + 0.587721i \(0.199975\pi\)
\(644\) −7.11938 1.90763i −0.280543 0.0751713i
\(645\) 15.2053 16.6225i 0.598707 0.654512i
\(646\) −0.0446531 0.0773414i −0.00175685 0.00304296i
\(647\) 4.87092 + 18.1785i 0.191496 + 0.714671i 0.993146 + 0.116878i \(0.0372888\pi\)
−0.801651 + 0.597793i \(0.796045\pi\)
\(648\) −0.500000 + 0.866025i −0.0196419 + 0.0340207i
\(649\) 8.61610 0.338212
\(650\) 14.6994 10.4368i 0.576558 0.409366i
\(651\) 6.20381 0.243147
\(652\) 7.91529 13.7097i 0.309987 0.536913i
\(653\) 10.6879 + 39.8876i 0.418248 + 1.56092i 0.778240 + 0.627967i \(0.216113\pi\)
−0.359992 + 0.932956i \(0.617220\pi\)
\(654\) 6.03818 + 10.4584i 0.236111 + 0.408957i
\(655\) −6.99759 + 7.64983i −0.273418 + 0.298904i
\(656\) 3.36270 + 0.901032i 0.131291 + 0.0351794i
\(657\) 2.12314 1.22580i 0.0828317 0.0478229i
\(658\) 14.8001 0.576967
\(659\) −11.0082 + 6.35559i −0.428819 + 0.247579i −0.698843 0.715275i \(-0.746302\pi\)
0.270025 + 0.962853i \(0.412968\pi\)
\(660\) 0.438790 + 1.38747i 0.0170799 + 0.0540071i
\(661\) −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
\(663\) −0.273830 0.156342i −0.0106347 0.00607181i
\(664\) 1.51346i 0.0587337i
\(665\) 6.32408 + 3.28514i 0.245237 + 0.127392i
\(666\) −3.80043 + 6.58253i −0.147264 + 0.255068i
\(667\) −20.9779 5.62101i −0.812267 0.217646i
\(668\) 17.9405i 0.694138i
\(669\) −3.70807 + 13.8387i −0.143362 + 0.535035i
\(670\) 23.6801 + 5.22822i 0.914842 + 0.201984i
\(671\) 3.13119 + 3.13119i 0.120878 + 0.120878i
\(672\) 0.807754 3.01458i 0.0311598 0.116290i
\(673\) −12.6098 + 3.37878i −0.486071 + 0.130242i −0.493528 0.869730i \(-0.664293\pi\)
0.00745690 + 0.999972i \(0.497626\pi\)
\(674\) −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 \(-0.559261\pi\)
\(678\) 5.91643 + 3.41585i 0.227219 + 0.131185i
\(679\) 13.8303 + 7.98490i 0.530757 + 0.306432i
\(680\) 0.164836 0.105213i 0.00632116 0.00403473i
\(681\) −12.0347 + 12.0347i −0.461169 + 0.461169i
\(682\) 0.646819 + 1.12032i 0.0247680 + 0.0428994i
\(683\) −11.6831 20.2358i −0.447043 0.774302i 0.551149 0.834407i \(-0.314190\pi\)
−0.998192 + 0.0601053i \(0.980856\pi\)
\(684\) −0.722087 + 0.722087i −0.0276097 + 0.0276097i
\(685\) −5.11258 + 23.1563i −0.195342 + 0.884758i
\(686\) 11.5135 + 6.64732i 0.439587 + 0.253796i
\(687\) 14.4806 + 8.36038i 0.552469 + 0.318968i
\(688\) −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 \(0.639219\pi\)
\(692\) −0.317409 + 0.0850494i −0.0120661 + 0.00323309i
\(693\) −0.525674 + 1.96184i −0.0199687 + 0.0745242i
\(694\) 14.0016 + 14.0016i 0.531492 + 0.531492i
\(695\) 7.92868 35.9113i 0.300752 1.36219i
\(696\) 2.38012 8.88272i 0.0902182 0.336699i
\(697\) 0.304454i 0.0115320i
\(698\) 0.300454 + 0.0805064i 0.0113724 + 0.00304721i
\(699\) −0.808731 + 1.40076i −0.0305890 + 0.0529817i
\(700\) −6.57026 + 14.1540i −0.248333 + 0.534971i
\(701\) 38.5740i 1.45692i 0.685087 + 0.728461i \(0.259764\pi\)
−0.685087 + 0.728461i \(0.740236\pi\)
\(702\) −0.916397 + 3.48715i −0.0345872 + 0.131614i
\(703\) −5.48848 + 5.48848i −0.207002 + 0.207002i
\(704\) 0.628610 0.168435i 0.0236916 0.00634815i
\(705\) 4.88818 9.41002i 0.184100 0.354402i
\(706\) 25.7121 14.8449i 0.967688 0.558695i
\(707\) 12.9643 0.487573
\(708\) −11.4658 + 6.61978i −0.430911 + 0.248787i
\(709\) −21.1704 5.67258i −0.795070 0.213038i −0.161652 0.986848i \(-0.551682\pi\)
−0.633418 + 0.773810i \(0.718349\pi\)
\(710\) −1.33958 30.0829i −0.0502736 1.12899i
\(711\) 5.22163 + 9.04413i 0.195827 + 0.339182i
\(712\) 4.84513 + 18.0823i 0.181579 + 0.677662i
\(713\) −2.34726 + 4.06557i −0.0879056 + 0.152257i
\(714\) 0.272936 0.0102144
\(715\) 2.84421 + 4.40900i 0.106367 + 0.164887i
\(716\) 21.9150 0.819001
\(717\) 0.131673 0.228064i 0.00491742 0.00851721i
\(718\) 8.93314 + 33.3389i 0.333382 + 1.24420i
\(719\) 6.82948 + 11.8290i 0.254697 + 0.441147i 0.964813 0.262937i \(-0.0846911\pi\)
−0.710116 + 0.704084i \(0.751358\pi\)
\(720\) −1.64991 1.50924i −0.0614886 0.0562459i
\(721\) 37.9045 + 10.1565i 1.41164 + 0.378247i
\(722\) 15.5514 8.97859i 0.578762 0.334149i
\(723\) −26.9906 −1.00379
\(724\) 5.29297 3.05590i 0.196712 0.113572i
\(725\) −19.3599 + 41.7060i −0.719007 + 1.54892i
\(726\) 10.2161 2.73739i 0.379155 0.101594i
\(727\) 25.9287 25.9287i 0.961642 0.961642i −0.0376492 0.999291i \(-0.511987\pi\)
0.999291 + 0.0376492i \(0.0119869\pi\)
\(728\) −0.0542094 11.2525i −0.00200913 0.417046i
\(729\) 1.00000i 0.0370370i
\(730\) 1.65298 + 5.22678i 0.0611795 + 0.193452i
\(731\) 0.440539 0.763035i 0.0162939 0.0282219i
\(732\) −6.57250 1.76110i −0.242926 0.0650920i
\(733\) 47.7941i 1.76532i 0.470015 + 0.882658i \(0.344248\pi\)
−0.470015 + 0.882658i \(0.655752\pi\)
\(734\) 7.97094 29.7480i 0.294213 1.09802i
\(735\) −5.16476 + 3.29661i −0.190505 + 0.121597i
\(736\) 1.66994 + 1.66994i 0.0615548 + 0.0615548i
\(737\) −1.82670 + 6.81734i −0.0672874 + 0.251120i
\(738\) 3.36270 0.901032i 0.123783 0.0331674i
\(739\) −8.68070 32.3968i −0.319325 1.19174i −0.919895 0.392164i \(-0.871727\pi\)
0.600571 0.799572i \(-0.294940\pi\)
\(740\) −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
\(743\) 3.28918 + 1.89901i 0.120668 + 0.0696680i 0.559119 0.829087i \(-0.311139\pi\)
−0.438451 + 0.898755i \(0.644473\pi\)
\(744\) −1.72150 0.993907i −0.0631132 0.0364384i
\(745\) 16.4167 + 25.7197i 0.601460 + 0.942298i
\(746\) −1.28498 + 1.28498i −0.0470464 + 0.0470464i
\(747\) 0.756731 + 1.31070i 0.0276873 + 0.0479559i
\(748\) 0.0284567 + 0.0492884i 0.00104048 + 0.00180216i
\(749\) 7.33539 7.33539i 0.268029 0.268029i
\(750\) 6.82921 + 8.85223i 0.249367 + 0.323238i
\(751\) −10.6172 6.12985i −0.387428 0.223681i 0.293617 0.955923i \(-0.405141\pi\)
−0.681045 + 0.732242i \(0.738474\pi\)
\(752\) −4.10687 2.37110i −0.149762 0.0864653i
\(753\) 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
\(757\) −0.823974 + 0.220783i −0.0299478 + 0.00802450i −0.273762 0.961798i \(-0.588268\pi\)
0.243814 + 0.969822i \(0.421601\pi\)
\(758\) 1.61037 6.00997i 0.0584912 0.218292i
\(759\) −1.08677 1.08677i −0.0394473 0.0394473i
\(760\) −1.22856 1.92477i −0.0445646 0.0698187i
\(761\) 3.67773 13.7255i 0.133318 0.497548i −0.866682 0.498862i \(-0.833752\pi\)
0.999999 + 0.00131382i \(0.000418203\pi\)
\(762\) 5.99600i 0.217212i
\(763\) −36.4051 9.75473i −1.31795 0.353145i
\(764\) −2.41078 + 4.17559i −0.0872188 + 0.151067i
\(765\) 0.0901454 0.173535i 0.00325921 0.00627417i
\(766\) 1.06202i 0.0383724i
\(767\) −33.5914 + 33.9166i −1.21291 + 1.22466i
\(768\) −0.707107 + 0.707107i −0.0255155 + 0.0255155i
\(769\)