Properties

Label 576.2.bm.a.205.28
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.28
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.28

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.836570 + 1.14024i) q^{2} +(-1.64723 - 0.535390i) q^{3} +(-0.600300 - 1.90778i) q^{4} +(-2.22047 - 2.53196i) q^{5} +(1.98850 - 1.43034i) q^{6} +(3.36080 + 0.442458i) q^{7} +(2.67753 + 0.911510i) q^{8} +(2.42672 + 1.76382i) q^{9} +O(q^{10})\) \(q+(-0.836570 + 1.14024i) q^{2} +(-1.64723 - 0.535390i) q^{3} +(-0.600300 - 1.90778i) q^{4} +(-2.22047 - 2.53196i) q^{5} +(1.98850 - 1.43034i) q^{6} +(3.36080 + 0.442458i) q^{7} +(2.67753 + 0.911510i) q^{8} +(2.42672 + 1.76382i) q^{9} +(4.74462 - 0.413707i) q^{10} +(-0.977694 - 1.98257i) q^{11} +(-0.0325783 + 3.46395i) q^{12} +(0.602631 + 1.77529i) q^{13} +(-3.31606 + 3.46198i) q^{14} +(2.30203 + 5.35953i) q^{15} +(-3.27928 + 2.29048i) q^{16} +(-1.12378 - 1.12378i) q^{17} +(-4.04130 + 1.29148i) q^{18} +(0.386267 - 1.94189i) q^{19} +(-3.49748 + 5.75611i) q^{20} +(-5.29912 - 2.52817i) q^{21} +(3.07851 + 0.543750i) q^{22} +(-0.921094 - 6.99640i) q^{23} +(-3.92248 - 2.93498i) q^{24} +(-0.827704 + 6.28703i) q^{25} +(-2.52841 - 0.798014i) q^{26} +(-3.05302 - 4.20465i) q^{27} +(-1.17337 - 6.67729i) q^{28} +(3.27466 - 0.214632i) q^{29} +(-8.03696 - 1.85875i) q^{30} +(-6.32219 + 3.65012i) q^{31} +(0.131645 - 5.65532i) q^{32} +(0.549038 + 3.78918i) q^{33} +(2.22149 - 0.341258i) q^{34} +(-6.34226 - 9.49187i) q^{35} +(1.90823 - 5.68847i) q^{36} +(-1.66107 - 8.35075i) q^{37} +(1.89109 + 2.06497i) q^{38} +(-0.0421960 - 3.24696i) q^{39} +(-3.63746 - 8.80336i) q^{40} +(0.295357 + 2.24346i) q^{41} +(7.31580 - 3.92728i) q^{42} +(-3.30740 + 1.63103i) q^{43} +(-3.19540 + 3.05536i) q^{44} +(-0.922531 - 10.0608i) q^{45} +(8.74814 + 4.80271i) q^{46} +(-5.09425 + 1.36500i) q^{47} +(6.62802 - 2.01725i) q^{48} +(4.33773 + 1.16229i) q^{49} +(-6.47630 - 6.20333i) q^{50} +(1.24946 + 2.45277i) q^{51} +(3.02512 - 2.21540i) q^{52} +(-5.28785 + 7.91382i) q^{53} +(7.34838 + 0.0363027i) q^{54} +(-2.84884 + 6.87770i) q^{55} +(8.59533 + 4.24809i) q^{56} +(-1.67594 + 2.99194i) q^{57} +(-2.49475 + 3.91345i) q^{58} +(-9.67655 - 11.0340i) q^{59} +(8.84291 - 7.60910i) q^{60} +(0.655410 + 9.99962i) q^{61} +(1.12694 - 10.2624i) q^{62} +(7.37529 + 7.00156i) q^{63} +(6.33830 + 4.88118i) q^{64} +(3.15685 - 5.46782i) q^{65} +(-4.77989 - 2.54388i) q^{66} +(-4.60164 - 2.26928i) q^{67} +(-1.46932 + 2.81853i) q^{68} +(-2.22855 + 12.0178i) q^{69} +(16.1288 + 0.708907i) q^{70} +(3.13690 + 7.57314i) q^{71} +(4.88986 + 6.93464i) q^{72} +(4.74263 - 11.4497i) q^{73} +(10.9115 + 5.09198i) q^{74} +(4.72943 - 9.91303i) q^{75} +(-3.93659 + 0.428805i) q^{76} +(-2.40863 - 7.09560i) q^{77} +(3.73761 + 2.66819i) q^{78} +(-4.01495 - 14.9840i) q^{79} +(13.0809 + 3.21705i) q^{80} +(2.77790 + 8.56057i) q^{81} +(-2.80517 - 1.54003i) q^{82} +(-1.61721 - 1.41825i) q^{83} +(-1.64214 + 11.6272i) q^{84} +(-0.350046 + 5.34066i) q^{85} +(0.907108 - 5.13571i) q^{86} +(-5.50901 - 1.39967i) q^{87} +(-0.810673 - 6.19955i) q^{88} +(-9.11088 + 3.77385i) q^{89} +(12.2435 + 7.36469i) q^{90} +(1.23983 + 6.23305i) q^{91} +(-12.7947 + 5.95719i) q^{92} +(12.3683 - 2.62774i) q^{93} +(2.70527 - 6.95059i) q^{94} +(-5.77449 + 3.33390i) q^{95} +(-3.24465 + 9.24512i) q^{96} +(6.11777 + 3.53209i) q^{97} +(-4.95411 + 3.97372i) q^{98} +(1.12430 - 6.53560i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.836570 + 1.14024i −0.591545 + 0.806272i
\(3\) −1.64723 0.535390i −0.951027 0.309107i
\(4\) −0.600300 1.90778i −0.300150 0.953892i
\(5\) −2.22047 2.53196i −0.993023 1.13233i −0.991206 0.132328i \(-0.957755\pi\)
−0.00181713 0.999998i \(-0.500578\pi\)
\(6\) 1.98850 1.43034i 0.811800 0.583936i
\(7\) 3.36080 + 0.442458i 1.27026 + 0.167233i 0.735358 0.677679i \(-0.237014\pi\)
0.534905 + 0.844912i \(0.320347\pi\)
\(8\) 2.67753 + 0.911510i 0.946649 + 0.322267i
\(9\) 2.42672 + 1.76382i 0.808905 + 0.587939i
\(10\) 4.74462 0.413707i 1.50038 0.130826i
\(11\) −0.977694 1.98257i −0.294786 0.597766i 0.698213 0.715890i \(-0.253979\pi\)
−0.992999 + 0.118124i \(0.962312\pi\)
\(12\) −0.0325783 + 3.46395i −0.00940454 + 0.999956i
\(13\) 0.602631 + 1.77529i 0.167140 + 0.492378i 0.997937 0.0641969i \(-0.0204486\pi\)
−0.830797 + 0.556575i \(0.812115\pi\)
\(14\) −3.31606 + 3.46198i −0.886253 + 0.925252i
\(15\) 2.30203 + 5.35953i 0.594382 + 1.38382i
\(16\) −3.27928 + 2.29048i −0.819820 + 0.572621i
\(17\) −1.12378 1.12378i −0.272556 0.272556i 0.557572 0.830128i \(-0.311733\pi\)
−0.830128 + 0.557572i \(0.811733\pi\)
\(18\) −4.04130 + 1.29148i −0.952543 + 0.304405i
\(19\) 0.386267 1.94189i 0.0886157 0.445501i −0.910848 0.412743i \(-0.864571\pi\)
0.999463 0.0327584i \(-0.0104292\pi\)
\(20\) −3.49748 + 5.75611i −0.782061 + 1.28710i
\(21\) −5.29912 2.52817i −1.15636 0.551691i
\(22\) 3.07851 + 0.543750i 0.656341 + 0.115928i
\(23\) −0.921094 6.99640i −0.192061 1.45885i −0.767523 0.641022i \(-0.778511\pi\)
0.575461 0.817829i \(-0.304822\pi\)
\(24\) −3.92248 2.93498i −0.800673 0.599101i
\(25\) −0.827704 + 6.28703i −0.165541 + 1.25741i
\(26\) −2.52841 0.798014i −0.495861 0.156503i
\(27\) −3.05302 4.20465i −0.587554 0.809185i
\(28\) −1.17337 6.67729i −0.221747 1.26189i
\(29\) 3.27466 0.214632i 0.608088 0.0398562i 0.241751 0.970338i \(-0.422278\pi\)
0.366337 + 0.930482i \(0.380612\pi\)
\(30\) −8.03696 1.85875i −1.46734 0.339360i
\(31\) −6.32219 + 3.65012i −1.13550 + 0.655581i −0.945312 0.326167i \(-0.894243\pi\)
−0.190187 + 0.981748i \(0.560909\pi\)
\(32\) 0.131645 5.65532i 0.0232717 0.999729i
\(33\) 0.549038 + 3.78918i 0.0955752 + 0.659612i
\(34\) 2.22149 0.341258i 0.380983 0.0585253i
\(35\) −6.34226 9.49187i −1.07204 1.60442i
\(36\) 1.90823 5.68847i 0.318038 0.948078i
\(37\) −1.66107 8.35075i −0.273078 1.37286i −0.837079 0.547082i \(-0.815739\pi\)
0.564001 0.825774i \(-0.309261\pi\)
\(38\) 1.89109 + 2.06497i 0.306775 + 0.334982i
\(39\) −0.0421960 3.24696i −0.00675677 0.519929i
\(40\) −3.63746 8.80336i −0.575133 1.39193i
\(41\) 0.295357 + 2.24346i 0.0461270 + 0.350369i 0.998908 + 0.0467123i \(0.0148744\pi\)
−0.952781 + 0.303657i \(0.901792\pi\)
\(42\) 7.31580 3.92728i 1.12885 0.605992i
\(43\) −3.30740 + 1.63103i −0.504374 + 0.248730i −0.676631 0.736322i \(-0.736561\pi\)
0.172257 + 0.985052i \(0.444894\pi\)
\(44\) −3.19540 + 3.05536i −0.481725 + 0.460613i
\(45\) −0.922531 10.0608i −0.137523 1.49978i
\(46\) 8.74814 + 4.80271i 1.28984 + 0.708122i
\(47\) −5.09425 + 1.36500i −0.743072 + 0.199106i −0.610443 0.792060i \(-0.709009\pi\)
−0.132629 + 0.991166i \(0.542342\pi\)
\(48\) 6.62802 2.01725i 0.956673 0.291166i
\(49\) 4.33773 + 1.16229i 0.619676 + 0.166042i
\(50\) −6.47630 6.20333i −0.915887 0.877283i
\(51\) 1.24946 + 2.45277i 0.174959 + 0.343457i
\(52\) 3.02512 2.21540i 0.419508 0.307221i
\(53\) −5.28785 + 7.91382i −0.726342 + 1.08705i 0.266054 + 0.963958i \(0.414280\pi\)
−0.992396 + 0.123089i \(0.960720\pi\)
\(54\) 7.34838 + 0.0363027i 0.999988 + 0.00494017i
\(55\) −2.84884 + 6.87770i −0.384137 + 0.927389i
\(56\) 8.59533 + 4.24809i 1.14860 + 0.567675i
\(57\) −1.67594 + 2.99194i −0.221984 + 0.396292i
\(58\) −2.49475 + 3.91345i −0.327576 + 0.513861i
\(59\) −9.67655 11.0340i −1.25978 1.43650i −0.852101 0.523378i \(-0.824672\pi\)
−0.407679 0.913125i \(-0.633662\pi\)
\(60\) 8.84291 7.60910i 1.14161 0.982330i
\(61\) 0.655410 + 9.99962i 0.0839166 + 1.28032i 0.807411 + 0.589990i \(0.200868\pi\)
−0.723494 + 0.690331i \(0.757465\pi\)
\(62\) 1.12694 10.2624i 0.143122 1.30333i
\(63\) 7.37529 + 7.00156i 0.929199 + 0.882113i
\(64\) 6.33830 + 4.88118i 0.792288 + 0.610148i
\(65\) 3.15685 5.46782i 0.391559 0.678200i
\(66\) −4.77989 2.54388i −0.588364 0.313131i
\(67\) −4.60164 2.26928i −0.562179 0.277236i 0.138915 0.990304i \(-0.455638\pi\)
−0.701095 + 0.713068i \(0.747305\pi\)
\(68\) −1.46932 + 2.81853i −0.178181 + 0.341797i
\(69\) −2.22855 + 12.0178i −0.268286 + 1.44677i
\(70\) 16.1288 + 0.708907i 1.92776 + 0.0847306i
\(71\) 3.13690 + 7.57314i 0.372281 + 0.898766i 0.993363 + 0.115021i \(0.0366934\pi\)
−0.621082 + 0.783746i \(0.713307\pi\)
\(72\) 4.88986 + 6.93464i 0.576275 + 0.817256i
\(73\) 4.74263 11.4497i 0.555083 1.34009i −0.358536 0.933516i \(-0.616724\pi\)
0.913619 0.406572i \(-0.133276\pi\)
\(74\) 10.9115 + 5.09198i 1.26843 + 0.591930i
\(75\) 4.72943 9.91303i 0.546108 1.14466i
\(76\) −3.93659 + 0.428805i −0.451558 + 0.0491873i
\(77\) −2.40863 7.09560i −0.274489 0.808618i
\(78\) 3.73761 + 2.66819i 0.423201 + 0.302113i
\(79\) −4.01495 14.9840i −0.451717 1.68583i −0.697563 0.716524i \(-0.745732\pi\)
0.245845 0.969309i \(-0.420934\pi\)
\(80\) 13.0809 + 3.21705i 1.46249 + 0.359678i
\(81\) 2.77790 + 8.56057i 0.308655 + 0.951174i
\(82\) −2.80517 1.54003i −0.309779 0.170068i
\(83\) −1.61721 1.41825i −0.177512 0.155674i 0.565979 0.824419i \(-0.308498\pi\)
−0.743491 + 0.668746i \(0.766831\pi\)
\(84\) −1.64214 + 11.6272i −0.179172 + 1.26863i
\(85\) −0.350046 + 5.34066i −0.0379678 + 0.579276i
\(86\) 0.907108 5.13571i 0.0978160 0.553798i
\(87\) −5.50901 1.39967i −0.590628 0.150060i
\(88\) −0.810673 6.19955i −0.0864180 0.660874i
\(89\) −9.11088 + 3.77385i −0.965751 + 0.400027i −0.809129 0.587631i \(-0.800061\pi\)
−0.156622 + 0.987659i \(0.550061\pi\)
\(90\) 12.2435 + 7.36469i 1.29058 + 0.776307i
\(91\) 1.23983 + 6.23305i 0.129970 + 0.653401i
\(92\) −12.7947 + 5.95719i −1.33394 + 0.621080i
\(93\) 12.3683 2.62774i 1.28254 0.272484i
\(94\) 2.70527 6.95059i 0.279027 0.716898i
\(95\) −5.77449 + 3.33390i −0.592450 + 0.342051i
\(96\) −3.24465 + 9.24512i −0.331156 + 0.943576i
\(97\) 6.11777 + 3.53209i 0.621165 + 0.358630i 0.777323 0.629102i \(-0.216577\pi\)
−0.156157 + 0.987732i \(0.549911\pi\)
\(98\) −4.95411 + 3.97372i −0.500441 + 0.401406i
\(99\) 1.12430 6.53560i 0.112997 0.656852i
\(100\) 12.4912 2.19502i 1.24912 0.219502i
\(101\) 1.30259 + 0.442168i 0.129612 + 0.0439974i 0.385492 0.922711i \(-0.374032\pi\)
−0.255880 + 0.966709i \(0.582365\pi\)
\(102\) −3.84201 0.627236i −0.380416 0.0621057i
\(103\) −14.4980 11.1247i −1.42853 1.09615i −0.979225 0.202777i \(-0.935003\pi\)
−0.449309 0.893376i \(-0.648330\pi\)
\(104\) −0.00463636 + 5.30270i −0.000454632 + 0.519973i
\(105\) 5.36530 + 19.0308i 0.523600 + 1.85722i
\(106\) −4.60001 12.6499i −0.446792 1.22867i
\(107\) −2.69487 1.80065i −0.260523 0.174076i 0.418449 0.908240i \(-0.362574\pi\)
−0.678971 + 0.734165i \(0.737574\pi\)
\(108\) −6.18883 + 8.34855i −0.595521 + 0.803340i
\(109\) 1.75204 8.80811i 0.167815 0.843664i −0.801529 0.597956i \(-0.795980\pi\)
0.969344 0.245708i \(-0.0790204\pi\)
\(110\) −5.45899 9.00204i −0.520494 0.858311i
\(111\) −1.73475 + 14.6449i −0.164655 + 1.39003i
\(112\) −12.0345 + 6.24692i −1.13715 + 0.590278i
\(113\) 3.68967 + 0.988644i 0.347095 + 0.0930038i 0.428155 0.903705i \(-0.359164\pi\)
−0.0810599 + 0.996709i \(0.525831\pi\)
\(114\) −2.00949 4.41394i −0.188206 0.413404i
\(115\) −15.6693 + 17.8675i −1.46117 + 1.66615i
\(116\) −2.37525 6.11849i −0.220536 0.568088i
\(117\) −1.66888 + 5.37107i −0.154288 + 0.496555i
\(118\) 20.6765 1.80289i 1.90343 0.165969i
\(119\) −3.27957 4.27401i −0.300637 0.391798i
\(120\) 1.27849 + 16.4486i 0.116709 + 1.50154i
\(121\) 3.72169 4.85020i 0.338336 0.440927i
\(122\) −11.9503 7.61806i −1.08193 0.689707i
\(123\) 0.714605 3.85362i 0.0644338 0.347469i
\(124\) 10.7589 + 9.87021i 0.966173 + 0.886371i
\(125\) 3.75577 2.50952i 0.335926 0.224459i
\(126\) −14.1534 + 2.55231i −1.26089 + 0.227378i
\(127\) −15.0997 −1.33988 −0.669940 0.742415i \(-0.733680\pi\)
−0.669940 + 0.742415i \(0.733680\pi\)
\(128\) −10.8682 + 3.14374i −0.960619 + 0.277870i
\(129\) 6.32128 0.915929i 0.556558 0.0806430i
\(130\) 3.59371 + 8.17378i 0.315189 + 0.716888i
\(131\) 1.89634 + 0.935171i 0.165684 + 0.0817062i 0.523240 0.852185i \(-0.324723\pi\)
−0.357556 + 0.933892i \(0.616390\pi\)
\(132\) 6.89936 3.32209i 0.600512 0.289151i
\(133\) 2.15737 6.35541i 0.187068 0.551084i
\(134\) 6.43711 3.34857i 0.556082 0.289272i
\(135\) −3.86685 + 17.0664i −0.332806 + 1.46884i
\(136\) −1.98461 4.03328i −0.170179 0.345851i
\(137\) 8.98192 + 11.7055i 0.767377 + 1.00007i 0.999624 + 0.0274083i \(0.00872543\pi\)
−0.232247 + 0.972657i \(0.574608\pi\)
\(138\) −11.8389 12.5948i −1.00779 1.07214i
\(139\) 22.0992 + 1.44846i 1.87443 + 0.122856i 0.959666 0.281141i \(-0.0907128\pi\)
0.914760 + 0.403997i \(0.132380\pi\)
\(140\) −14.3012 + 17.7976i −1.20867 + 1.50417i
\(141\) 9.12219 + 0.478944i 0.768227 + 0.0403344i
\(142\) −11.2594 2.75865i −0.944871 0.231500i
\(143\) 2.93045 2.93045i 0.245057 0.245057i
\(144\) −11.9979 0.225699i −0.999823 0.0188082i
\(145\) −7.81471 7.81471i −0.648976 0.648976i
\(146\) 9.08790 + 14.9862i 0.752120 + 1.24027i
\(147\) −6.52295 4.23694i −0.538004 0.349457i
\(148\) −14.9343 + 8.18191i −1.22759 + 0.672549i
\(149\) −1.08450 + 16.5463i −0.0888459 + 1.35553i 0.687942 + 0.725765i \(0.258514\pi\)
−0.776788 + 0.629762i \(0.783153\pi\)
\(150\) 7.34674 + 13.6856i 0.599859 + 1.11743i
\(151\) 14.1711 10.8739i 1.15323 0.884905i 0.158493 0.987360i \(-0.449337\pi\)
0.994738 + 0.102456i \(0.0326699\pi\)
\(152\) 2.80430 4.84739i 0.227458 0.393175i
\(153\) −0.744949 4.70922i −0.0602256 0.380718i
\(154\) 10.1057 + 3.18955i 0.814339 + 0.257021i
\(155\) 23.2802 + 7.90255i 1.86991 + 0.634748i
\(156\) −6.16916 + 2.02965i −0.493928 + 0.162502i
\(157\) 2.29459 4.65297i 0.183128 0.371348i −0.785879 0.618381i \(-0.787789\pi\)
0.969007 + 0.247033i \(0.0794556\pi\)
\(158\) 20.4442 + 7.95716i 1.62645 + 0.633038i
\(159\) 12.9473 10.2048i 1.02678 0.809293i
\(160\) −14.6113 + 12.2241i −1.15513 + 0.966403i
\(161\) 23.9211i 1.88524i
\(162\) −12.0850 3.99405i −0.949488 0.313802i
\(163\) 4.18355 + 6.26112i 0.327681 + 0.490409i 0.958332 0.285658i \(-0.0922121\pi\)
−0.630651 + 0.776067i \(0.717212\pi\)
\(164\) 4.10273 1.91023i 0.320370 0.149164i
\(165\) 8.37494 9.80390i 0.651988 0.763233i
\(166\) 2.97006 0.657539i 0.230521 0.0510349i
\(167\) 4.35778 + 3.34384i 0.337215 + 0.258754i 0.763462 0.645853i \(-0.223498\pi\)
−0.426247 + 0.904607i \(0.640165\pi\)
\(168\) −11.8841 11.5994i −0.916876 0.894915i
\(169\) 7.52509 5.77420i 0.578853 0.444169i
\(170\) −5.79681 4.86698i −0.444595 0.373280i
\(171\) 4.36251 4.03112i 0.333609 0.308268i
\(172\) 5.09709 + 5.33071i 0.388649 + 0.406463i
\(173\) −10.5023 9.21027i −0.798475 0.700244i 0.159468 0.987203i \(-0.449022\pi\)
−0.957943 + 0.286960i \(0.907355\pi\)
\(174\) 6.20464 5.11068i 0.470372 0.387440i
\(175\) −5.56349 + 20.7632i −0.420561 + 1.56955i
\(176\) 7.74717 + 4.26200i 0.583965 + 0.321260i
\(177\) 10.0320 + 23.3562i 0.754051 + 1.75556i
\(178\) 3.31879 13.5457i 0.248754 1.01529i
\(179\) 15.6596 + 3.11488i 1.17045 + 0.232817i 0.741780 0.670643i \(-0.233982\pi\)
0.428671 + 0.903461i \(0.358982\pi\)
\(180\) −18.6401 + 7.79951i −1.38935 + 0.581341i
\(181\) −8.53124 + 12.7679i −0.634122 + 0.949031i 0.365710 + 0.930729i \(0.380826\pi\)
−0.999832 + 0.0183025i \(0.994174\pi\)
\(182\) −8.14438 3.80068i −0.603702 0.281725i
\(183\) 4.27409 16.8226i 0.315950 1.24356i
\(184\) 3.91103 19.5726i 0.288325 1.44291i
\(185\) −17.4554 + 22.7483i −1.28335 + 1.67249i
\(186\) −7.35072 + 16.3012i −0.538981 + 1.19526i
\(187\) −1.12925 + 3.32667i −0.0825791 + 0.243270i
\(188\) 5.66220 + 8.89931i 0.412958 + 0.649049i
\(189\) −8.40022 15.4818i −0.611026 1.12614i
\(190\) 1.02931 9.37335i 0.0746743 0.680014i
\(191\) 2.73521 4.73753i 0.197913 0.342795i −0.749939 0.661508i \(-0.769917\pi\)
0.947852 + 0.318712i \(0.103250\pi\)
\(192\) −7.82729 11.4339i −0.564886 0.825169i
\(193\) −2.37957 4.12153i −0.171285 0.296675i 0.767584 0.640948i \(-0.221459\pi\)
−0.938869 + 0.344273i \(0.888125\pi\)
\(194\) −9.14538 + 4.02088i −0.656600 + 0.288683i
\(195\) −8.12746 + 7.31660i −0.582019 + 0.523952i
\(196\) −0.386537 8.97318i −0.0276098 0.640941i
\(197\) −18.1644 + 3.61313i −1.29416 + 0.257425i −0.793688 0.608326i \(-0.791841\pi\)
−0.500476 + 0.865751i \(0.666841\pi\)
\(198\) 6.51160 + 6.74946i 0.462759 + 0.479663i
\(199\) 5.67151 + 13.6922i 0.402043 + 0.970617i 0.987170 + 0.159675i \(0.0510448\pi\)
−0.585127 + 0.810942i \(0.698955\pi\)
\(200\) −7.94689 + 16.0792i −0.561930 + 1.13697i
\(201\) 6.36499 + 6.20168i 0.448952 + 0.437433i
\(202\) −1.59388 + 1.11536i −0.112145 + 0.0784763i
\(203\) 11.1004 + 0.727561i 0.779098 + 0.0510647i
\(204\) 3.92932 3.85609i 0.275107 0.269981i
\(205\) 5.02451 5.72936i 0.350927 0.400156i
\(206\) 24.8135 7.22463i 1.72884 0.503364i
\(207\) 10.1051 18.6029i 0.702356 1.29299i
\(208\) −6.04248 4.44137i −0.418971 0.307954i
\(209\) −4.22759 + 1.13278i −0.292428 + 0.0783559i
\(210\) −26.1882 9.80291i −1.80716 0.676465i
\(211\) 8.70011 2.95329i 0.598940 0.203313i −0.00547146 0.999985i \(-0.501742\pi\)
0.604412 + 0.796672i \(0.293408\pi\)
\(212\) 18.2722 + 5.33740i 1.25494 + 0.366574i
\(213\) −1.11260 14.1541i −0.0762341 0.969826i
\(214\) 4.30763 1.56643i 0.294463 0.107079i
\(215\) 11.4737 + 4.75256i 0.782499 + 0.324122i
\(216\) −4.34197 14.0409i −0.295434 0.955363i
\(217\) −22.8627 + 9.47002i −1.55202 + 0.642867i
\(218\) 8.57766 + 9.36636i 0.580953 + 0.634370i
\(219\) −13.9422 + 16.3211i −0.942130 + 1.10288i
\(220\) 14.8313 + 1.30628i 0.999928 + 0.0880697i
\(221\) 1.31781 2.67226i 0.0886456 0.179755i
\(222\) −15.2475 14.2295i −1.02334 0.955024i
\(223\) −20.9816 12.1138i −1.40503 0.811197i −0.410131 0.912027i \(-0.634517\pi\)
−0.994904 + 0.100830i \(0.967850\pi\)
\(224\) 2.94467 18.9482i 0.196749 1.26603i
\(225\) −13.0978 + 13.7969i −0.873186 + 0.919795i
\(226\) −4.21396 + 3.38004i −0.280308 + 0.224837i
\(227\) −0.629137 + 0.0412358i −0.0417573 + 0.00273692i −0.0862675 0.996272i \(-0.527494\pi\)
0.0445102 + 0.999009i \(0.485827\pi\)
\(228\) 6.71404 + 1.40127i 0.444648 + 0.0928015i
\(229\) −5.94517 + 5.21378i −0.392868 + 0.344536i −0.832878 0.553457i \(-0.813308\pi\)
0.440010 + 0.897993i \(0.354975\pi\)
\(230\) −7.26470 32.8142i −0.479020 2.16370i
\(231\) 0.168651 + 12.9776i 0.0110965 + 0.853865i
\(232\) 8.96362 + 2.41020i 0.588490 + 0.158237i
\(233\) 18.9597 + 7.85336i 1.24209 + 0.514491i 0.904367 0.426755i \(-0.140343\pi\)
0.337723 + 0.941245i \(0.390343\pi\)
\(234\) −4.72817 6.39620i −0.309090 0.418133i
\(235\) 14.7677 + 9.86748i 0.963340 + 0.643683i
\(236\) −15.2416 + 25.0845i −0.992146 + 1.63286i
\(237\) −1.40875 + 26.8316i −0.0915079 + 1.74290i
\(238\) 7.61699 0.163982i 0.493736 0.0106294i
\(239\) 6.16686 23.0150i 0.398901 1.48872i −0.416132 0.909304i \(-0.636615\pi\)
0.815033 0.579415i \(-0.196719\pi\)
\(240\) −19.8249 12.3026i −1.27969 0.794131i
\(241\) −2.65943 9.92514i −0.171309 0.639335i −0.997151 0.0754326i \(-0.975966\pi\)
0.825842 0.563902i \(-0.190700\pi\)
\(242\) 2.41694 + 8.30116i 0.155367 + 0.533619i
\(243\) 0.00741539 15.5885i 0.000475698 1.00000i
\(244\) 18.6837 7.25315i 1.19610 0.464335i
\(245\) −6.68892 13.5638i −0.427339 0.866558i
\(246\) 3.79624 + 4.03865i 0.242039 + 0.257495i
\(247\) 3.68021 0.484509i 0.234166 0.0308286i
\(248\) −20.2550 + 4.01055i −1.28619 + 0.254670i
\(249\) 1.90459 + 3.20203i 0.120699 + 0.202920i
\(250\) −0.280502 + 6.38187i −0.0177405 + 0.403625i
\(251\) 8.27699 1.64640i 0.522439 0.103920i 0.0731757 0.997319i \(-0.476687\pi\)
0.449263 + 0.893400i \(0.351687\pi\)
\(252\) 8.93008 18.2735i 0.562542 1.15112i
\(253\) −12.9703 + 8.66647i −0.815435 + 0.544856i
\(254\) 12.6319 17.2173i 0.792599 1.08031i
\(255\) 3.43594 8.60988i 0.215167 0.539171i
\(256\) 5.50736 15.0223i 0.344210 0.938893i
\(257\) −13.3363 23.0992i −0.831896 1.44089i −0.896533 0.442977i \(-0.853922\pi\)
0.0646372 0.997909i \(-0.479411\pi\)
\(258\) −4.24382 + 7.97403i −0.264209 + 0.496441i
\(259\) −1.88766 28.8002i −0.117294 1.78956i
\(260\) −12.3265 2.74025i −0.764455 0.169943i
\(261\) 8.32523 + 5.25504i 0.515319 + 0.325279i
\(262\) −2.65274 + 1.37995i −0.163887 + 0.0852534i
\(263\) 11.9970 + 1.57943i 0.739766 + 0.0973920i 0.490985 0.871168i \(-0.336637\pi\)
0.248781 + 0.968560i \(0.419970\pi\)
\(264\) −1.98381 + 10.6461i −0.122095 + 0.655222i
\(265\) 31.7789 4.18378i 1.95217 0.257007i
\(266\) 5.44191 + 7.77668i 0.333665 + 0.476819i
\(267\) 17.0282 1.33852i 1.04211 0.0819158i
\(268\) −1.56693 + 10.1412i −0.0957153 + 0.619471i
\(269\) −7.17466 1.42713i −0.437446 0.0870135i −0.0285460 0.999592i \(-0.509088\pi\)
−0.408901 + 0.912579i \(0.634088\pi\)
\(270\) −16.2249 18.6864i −0.987417 1.13722i
\(271\) −17.7667 + 17.7667i −1.07925 + 1.07925i −0.0826753 + 0.996577i \(0.526346\pi\)
−0.996577 + 0.0826753i \(0.973654\pi\)
\(272\) 6.25917 + 1.11119i 0.379518 + 0.0673756i
\(273\) 1.29483 10.9310i 0.0783666 0.661577i
\(274\) −20.8611 + 0.449107i −1.26026 + 0.0271316i
\(275\) 13.2737 4.50582i 0.800434 0.271711i
\(276\) 24.2652 2.96269i 1.46059 0.178333i
\(277\) 7.84248 3.86749i 0.471209 0.232375i −0.191150 0.981561i \(-0.561222\pi\)
0.662360 + 0.749186i \(0.269555\pi\)
\(278\) −20.1391 + 23.9866i −1.20786 + 1.43862i
\(279\) −21.7803 2.29339i −1.30395 0.137302i
\(280\) −8.32965 31.1958i −0.497792 1.86430i
\(281\) 2.39740 18.2100i 0.143017 1.08632i −0.757914 0.652355i \(-0.773781\pi\)
0.900930 0.433964i \(-0.142886\pi\)
\(282\) −8.17747 + 10.0008i −0.486961 + 0.595540i
\(283\) 2.52182 2.21158i 0.149907 0.131465i −0.581108 0.813827i \(-0.697381\pi\)
0.731014 + 0.682362i \(0.239047\pi\)
\(284\) 12.5648 10.5307i 0.745586 0.624881i
\(285\) 11.2968 2.40009i 0.669167 0.142169i
\(286\) 0.889892 + 5.79295i 0.0526204 + 0.342544i
\(287\) 7.67050i 0.452775i
\(288\) 10.2944 13.4917i 0.606605 0.795004i
\(289\) 14.4743i 0.851427i
\(290\) 15.4482 2.37310i 0.907150 0.139353i
\(291\) −8.18631 9.09355i −0.479890 0.533074i
\(292\) −24.6906 2.17465i −1.44491 0.127262i
\(293\) 15.3151 13.4310i 0.894720 0.784648i −0.0825636 0.996586i \(-0.526311\pi\)
0.977283 + 0.211938i \(0.0679774\pi\)
\(294\) 10.2880 3.89324i 0.600010 0.227058i
\(295\) −6.45113 + 49.0012i −0.375600 + 2.85296i
\(296\) 3.16424 23.8734i 0.183918 1.38762i
\(297\) −5.35107 + 10.1637i −0.310501 + 0.589756i
\(298\) −17.9595 15.0788i −1.04037 0.873489i
\(299\) 11.8656 5.85146i 0.686205 0.338399i
\(300\) −21.7510 3.07194i −1.25579 0.177359i
\(301\) −11.8372 + 4.01818i −0.682284 + 0.231604i
\(302\) 0.543708 + 25.2553i 0.0312869 + 1.45328i
\(303\) −1.90892 1.42574i −0.109665 0.0819068i
\(304\) 3.18120 + 7.25276i 0.182454 + 0.415974i
\(305\) 23.8633 23.8633i 1.36641 1.36641i
\(306\) 5.99285 + 3.09018i 0.342589 + 0.176654i
\(307\) −13.0733 2.60045i −0.746134 0.148415i −0.192641 0.981269i \(-0.561705\pi\)
−0.553493 + 0.832854i \(0.686705\pi\)
\(308\) −12.0910 + 8.85463i −0.688947 + 0.504540i
\(309\) 17.9255 + 26.0871i 1.01975 + 1.48404i
\(310\) −28.4863 + 19.9340i −1.61791 + 1.13217i
\(311\) −8.07464 + 1.06305i −0.457871 + 0.0602798i −0.355934 0.934511i \(-0.615837\pi\)
−0.101937 + 0.994791i \(0.532504\pi\)
\(312\) 2.84665 8.73227i 0.161160 0.494368i
\(313\) 3.49622 + 0.460286i 0.197618 + 0.0260169i 0.228685 0.973500i \(-0.426557\pi\)
−0.0310674 + 0.999517i \(0.509891\pi\)
\(314\) 3.38592 + 6.50893i 0.191079 + 0.367320i
\(315\) 1.35105 34.2207i 0.0761233 1.92812i
\(316\) −26.1761 + 16.6546i −1.47252 + 0.936892i
\(317\) −1.86826 28.5042i −0.104932 1.60095i −0.648250 0.761427i \(-0.724499\pi\)
0.543318 0.839527i \(-0.317168\pi\)
\(318\) 0.804637 + 23.3000i 0.0451218 + 1.30660i
\(319\) −3.62713 6.28238i −0.203080 0.351746i
\(320\) −1.71504 26.8868i −0.0958738 1.50302i
\(321\) 3.47501 + 4.40889i 0.193956 + 0.246080i
\(322\) 27.2758 + 20.0116i 1.52002 + 1.11521i
\(323\) −2.61633 + 1.74818i −0.145577 + 0.0972712i
\(324\) 14.6641 10.4385i 0.814675 0.579918i
\(325\) −11.6601 + 2.31935i −0.646788 + 0.128654i
\(326\) −10.6390 0.467616i −0.589241 0.0258989i
\(327\) −7.60179 + 13.5709i −0.420380 + 0.750474i
\(328\) −1.25411 + 6.27614i −0.0692465 + 0.346542i
\(329\) −17.7247 + 2.33350i −0.977194 + 0.128650i
\(330\) 4.17259 + 17.7511i 0.229693 + 0.977166i
\(331\) 2.21037 + 4.48218i 0.121493 + 0.246363i 0.949120 0.314916i \(-0.101976\pi\)
−0.827627 + 0.561279i \(0.810310\pi\)
\(332\) −1.73491 + 3.93666i −0.0952157 + 0.216053i
\(333\) 10.6983 23.1947i 0.586261 1.27106i
\(334\) −7.45837 + 2.17156i −0.408104 + 0.118822i
\(335\) 4.47207 + 16.6900i 0.244335 + 0.911872i
\(336\) 23.1680 3.84697i 1.26392 0.209869i
\(337\) −4.44899 + 16.6038i −0.242352 + 0.904469i 0.732344 + 0.680935i \(0.238426\pi\)
−0.974696 + 0.223535i \(0.928240\pi\)
\(338\) 0.288717 + 13.4109i 0.0157042 + 0.729459i
\(339\) −5.54841 3.60393i −0.301348 0.195739i
\(340\) 10.3990 2.53819i 0.563963 0.137653i
\(341\) 13.4178 + 8.96547i 0.726613 + 0.485507i
\(342\) 0.946905 + 8.34663i 0.0512028 + 0.451334i
\(343\) −7.85839 3.25505i −0.424313 0.175756i
\(344\) −10.3424 + 1.35240i −0.557623 + 0.0729165i
\(345\) 35.3770 21.0426i 1.90463 1.13289i
\(346\) 19.2878 4.27011i 1.03692 0.229563i
\(347\) 6.53556 5.73153i 0.350847 0.307685i −0.465723 0.884930i \(-0.654206\pi\)
0.816571 + 0.577246i \(0.195872\pi\)
\(348\) 0.636792 + 11.3502i 0.0341357 + 0.608436i
\(349\) −6.52019 + 0.427356i −0.349018 + 0.0228758i −0.238904 0.971043i \(-0.576788\pi\)
−0.110114 + 0.993919i \(0.535121\pi\)
\(350\) −19.0209 23.7136i −1.01671 1.26755i
\(351\) 5.62464 7.95386i 0.300221 0.424546i
\(352\) −11.3408 + 5.26818i −0.604465 + 0.280795i
\(353\) 12.5763 + 7.26092i 0.669368 + 0.386460i 0.795837 0.605511i \(-0.207031\pi\)
−0.126469 + 0.991971i \(0.540365\pi\)
\(354\) −35.0242 8.10023i −1.86151 0.430523i
\(355\) 12.2095 24.7584i 0.648012 1.31404i
\(356\) 12.6689 + 15.1161i 0.671453 + 0.801154i
\(357\) 3.11393 + 8.79612i 0.164806 + 0.465540i
\(358\) −16.6521 + 15.2499i −0.880088 + 0.805981i
\(359\) 31.5353 13.0624i 1.66437 0.689405i 0.665973 0.745976i \(-0.268017\pi\)
0.998399 + 0.0565709i \(0.0180167\pi\)
\(360\) 6.70045 27.7791i 0.353145 1.46409i
\(361\) 13.9320 + 5.77081i 0.733261 + 0.303727i
\(362\) −7.42151 20.4089i −0.390066 1.07267i
\(363\) −8.72722 + 5.99683i −0.458060 + 0.314752i
\(364\) 11.1470 6.10703i 0.584264 0.320095i
\(365\) −39.5210 + 13.4156i −2.06863 + 0.702204i
\(366\) 15.6062 + 18.9467i 0.815749 + 0.990362i
\(367\) 1.47240 0.394529i 0.0768589 0.0205943i −0.220185 0.975458i \(-0.570666\pi\)
0.297044 + 0.954864i \(0.403999\pi\)
\(368\) 19.0457 + 20.8334i 0.992824 + 1.08602i
\(369\) −3.24031 + 5.96519i −0.168684 + 0.310536i
\(370\) −11.3359 38.9340i −0.589325 2.02408i
\(371\) −21.2729 + 24.2571i −1.10444 + 1.25937i
\(372\) −12.4379 22.0187i −0.644873 1.14161i
\(373\) −0.993908 0.0651442i −0.0514626 0.00337304i 0.0396501 0.999214i \(-0.487376\pi\)
−0.0911127 + 0.995841i \(0.529042\pi\)
\(374\) −2.84851 4.07062i −0.147293 0.210487i
\(375\) −7.53017 + 2.12296i −0.388856 + 0.109629i
\(376\) −14.8842 0.988632i −0.767594 0.0509848i
\(377\) 2.35444 + 5.68413i 0.121260 + 0.292748i
\(378\) 24.6804 + 3.37335i 1.26942 + 0.173507i
\(379\) 16.8693 3.35552i 0.866519 0.172361i 0.258236 0.966082i \(-0.416859\pi\)
0.608283 + 0.793720i \(0.291859\pi\)
\(380\) 9.82679 + 9.01514i 0.504104 + 0.462467i
\(381\) 24.8726 + 8.08421i 1.27426 + 0.414167i
\(382\) 3.11373 + 7.08208i 0.159312 + 0.362351i
\(383\) −11.3212 19.6090i −0.578488 1.00197i −0.995653 0.0931399i \(-0.970310\pi\)
0.417165 0.908831i \(-0.363024\pi\)
\(384\) 19.5855 + 0.640252i 0.999466 + 0.0326727i
\(385\) −12.6175 + 21.8541i −0.643046 + 1.11379i
\(386\) 6.69022 + 0.734671i 0.340523 + 0.0373938i
\(387\) −10.9030 1.87561i −0.554229 0.0953426i
\(388\) 3.06598 13.7917i 0.155652 0.700167i
\(389\) −7.01653 + 20.6700i −0.355752 + 1.04801i 0.610854 + 0.791743i \(0.290826\pi\)
−0.966606 + 0.256268i \(0.917507\pi\)
\(390\) −1.54349 15.3881i −0.0781578 0.779207i
\(391\) −6.82729 + 8.89750i −0.345271 + 0.449966i
\(392\) 10.5550 + 7.06595i 0.533106 + 0.356884i
\(393\) −2.62302 2.55572i −0.132314 0.128919i
\(394\) 11.0760 23.7345i 0.558001 1.19573i
\(395\) −29.0238 + 43.4372i −1.46035 + 2.18556i
\(396\) −13.1434 + 1.77839i −0.660482 + 0.0893676i
\(397\) 12.9708 + 2.58005i 0.650984 + 0.129489i 0.509526 0.860455i \(-0.329821\pi\)
0.141458 + 0.989944i \(0.454821\pi\)
\(398\) −20.3571 4.98763i −1.02041 0.250008i
\(399\) −6.95631 + 9.31378i −0.348251 + 0.466272i
\(400\) −11.6861 22.5128i −0.584304 1.12564i
\(401\) −5.60232 + 20.9082i −0.279767 + 1.04410i 0.672813 + 0.739813i \(0.265086\pi\)
−0.952579 + 0.304291i \(0.901581\pi\)
\(402\) −12.3962 + 2.06948i −0.618265 + 0.103216i
\(403\) −10.2900 9.02408i −0.512581 0.449521i
\(404\) 0.0616198 2.75049i 0.00306570 0.136842i
\(405\) 15.5068 26.0420i 0.770537 1.29404i
\(406\) −10.1159 + 12.0485i −0.502043 + 0.597958i
\(407\) −14.9319 + 11.4577i −0.740147 + 0.567935i
\(408\) 1.10973 + 7.70626i 0.0549397 + 0.381517i
\(409\) 2.36164 + 1.81215i 0.116776 + 0.0896052i 0.665498 0.746399i \(-0.268219\pi\)
−0.548723 + 0.836004i \(0.684886\pi\)
\(410\) 2.32949 + 10.5222i 0.115045 + 0.519653i
\(411\) −8.52827 24.0904i −0.420669 1.18829i
\(412\) −12.5204 + 34.3373i −0.616837 + 1.69168i
\(413\) −27.6389 41.3645i −1.36002 2.03541i
\(414\) 12.7581 + 27.0850i 0.627029 + 1.33115i
\(415\) 7.24389i 0.355589i
\(416\) 10.1192 3.17437i 0.496134 0.155636i
\(417\) −35.6269 14.2176i −1.74465 0.696239i
\(418\) 2.24503 5.76812i 0.109808 0.282128i
\(419\) 9.12615 18.5060i 0.445842 0.904077i −0.551703 0.834041i \(-0.686022\pi\)
0.997544 0.0700366i \(-0.0223116\pi\)
\(420\) 33.0860 21.6600i 1.61443 1.05690i
\(421\) −14.7487 5.00651i −0.718808 0.244003i −0.0620172 0.998075i \(-0.519753\pi\)
−0.656791 + 0.754073i \(0.728087\pi\)
\(422\) −3.91079 + 12.3909i −0.190374 + 0.603177i
\(423\) −14.7699 5.67286i −0.718137 0.275824i
\(424\) −21.3719 + 16.3695i −1.03791 + 0.794975i
\(425\) 7.99538 6.13507i 0.387833 0.297595i
\(426\) 17.0699 + 10.5723i 0.827040 + 0.512230i
\(427\) −2.22171 + 33.8967i −0.107516 + 1.64038i
\(428\) −1.81753 + 6.22216i −0.0878536 + 0.300759i
\(429\) −6.39605 + 3.25818i −0.308804 + 0.157307i
\(430\) −15.0176 + 9.10692i −0.724213 + 0.439175i
\(431\) −5.75089 5.75089i −0.277011 0.277011i 0.554904 0.831915i \(-0.312755\pi\)
−0.831915 + 0.554904i \(0.812755\pi\)
\(432\) 19.6424 + 6.79532i 0.945045 + 0.326940i
\(433\) 17.2545 17.2545i 0.829199 0.829199i −0.158207 0.987406i \(-0.550571\pi\)
0.987406 + 0.158207i \(0.0505712\pi\)
\(434\) 8.32811 33.9913i 0.399762 1.63163i
\(435\) 8.68868 + 17.0565i 0.416590 + 0.817797i
\(436\) −17.8557 + 1.94499i −0.855134 + 0.0931480i
\(437\) −13.9421 0.913811i −0.666939 0.0437135i
\(438\) −6.94635 29.5513i −0.331909 1.41202i
\(439\) 5.13890 + 6.69715i 0.245266 + 0.319637i 0.899722 0.436463i \(-0.143769\pi\)
−0.654456 + 0.756100i \(0.727102\pi\)
\(440\) −13.8969 + 15.8185i −0.662510 + 0.754117i
\(441\) 8.47637 + 10.4715i 0.403637 + 0.498644i
\(442\) 1.94458 + 3.73815i 0.0924940 + 0.177806i
\(443\) 2.79157 8.22369i 0.132631 0.390719i −0.860243 0.509884i \(-0.829688\pi\)
0.992874 + 0.119165i \(0.0380217\pi\)
\(444\) 28.9807 5.48180i 1.37536 0.260155i
\(445\) 29.7856 + 14.6886i 1.41197 + 0.696309i
\(446\) 31.3652 13.7901i 1.48519 0.652981i
\(447\) 10.6452 26.6749i 0.503498 1.26168i
\(448\) 19.1420 + 19.2091i 0.904377 + 0.907545i
\(449\) 26.2096 1.23691 0.618454 0.785821i \(-0.287759\pi\)
0.618454 + 0.785821i \(0.287759\pi\)
\(450\) −4.77460 26.4767i −0.225077 1.24813i
\(451\) 4.15904 2.77898i 0.195841 0.130857i
\(452\) −0.328788 7.63257i −0.0154649 0.359006i
\(453\) −29.1648 + 10.3247i −1.37028 + 0.485096i
\(454\) 0.479299 0.751864i 0.0224946 0.0352867i
\(455\) 13.0288 16.9795i 0.610800 0.796010i
\(456\) −7.21455 + 6.48336i −0.337852 + 0.303611i
\(457\) −10.6282 13.8509i −0.497164 0.647917i 0.475614 0.879654i \(-0.342226\pi\)
−0.972779 + 0.231737i \(0.925559\pi\)
\(458\) −0.971407 11.1406i −0.0453908 0.520567i
\(459\) −1.29417 + 8.15600i −0.0604067 + 0.380689i
\(460\) 43.4935 + 19.1679i 2.02790 + 0.893707i
\(461\) −15.1716 + 17.2999i −0.706612 + 0.805737i −0.988098 0.153829i \(-0.950840\pi\)
0.281485 + 0.959566i \(0.409173\pi\)
\(462\) −14.9387 10.6644i −0.695011 0.496152i
\(463\) 25.9309 + 6.94817i 1.20511 + 0.322909i 0.804843 0.593488i \(-0.202250\pi\)
0.400270 + 0.916397i \(0.368916\pi\)
\(464\) −10.2469 + 8.20439i −0.475701 + 0.380879i
\(465\) −34.1168 25.4813i −1.58213 1.18167i
\(466\) −24.8158 + 15.0487i −1.14957 + 0.697119i
\(467\) 1.55812 7.83322i 0.0721014 0.362478i −0.927844 0.372969i \(-0.878340\pi\)
0.999945 + 0.0104915i \(0.00333961\pi\)
\(468\) 11.2487 0.0403846i 0.519970 0.00186678i
\(469\) −14.4611 9.66261i −0.667753 0.446178i
\(470\) −23.6056 + 8.58393i −1.08884 + 0.395947i
\(471\) −6.27087 + 6.43600i −0.288946 + 0.296555i
\(472\) −15.8516 38.3641i −0.729631 1.76585i
\(473\) 6.46726 + 4.96250i 0.297365 + 0.228176i
\(474\) −29.4160 24.0529i −1.35112 1.10478i
\(475\) 11.8890 + 4.03579i 0.545507 + 0.185175i
\(476\) −6.18517 + 8.82239i −0.283497 + 0.404374i
\(477\) −26.7906 + 9.87780i −1.22666 + 0.452273i
\(478\) 21.0837 + 26.2854i 0.964345 + 1.20227i
\(479\) −2.81992 1.62808i −0.128845 0.0743889i 0.434192 0.900820i \(-0.357034\pi\)
−0.563037 + 0.826431i \(0.690367\pi\)
\(480\) 30.6129 12.3132i 1.39728 0.562017i
\(481\) 13.8240 7.98131i 0.630322 0.363916i
\(482\) 13.5419 + 5.27068i 0.616815 + 0.240073i
\(483\) −12.8071 + 39.4034i −0.582743 + 1.79292i
\(484\) −11.4873 4.18861i −0.522149 0.190391i
\(485\) −4.64119 23.3328i −0.210746 1.05949i
\(486\) 17.7684 + 13.0493i 0.805991 + 0.591928i
\(487\) −30.2140 + 12.5150i −1.36913 + 0.567111i −0.941551 0.336869i \(-0.890632\pi\)
−0.427575 + 0.903980i \(0.640632\pi\)
\(488\) −7.35987 + 27.3717i −0.333166 + 1.23906i
\(489\) −3.53911 12.5533i −0.160044 0.567681i
\(490\) 21.0617 + 3.72008i 0.951472 + 0.168056i
\(491\) −1.63531 + 24.9500i −0.0738004 + 1.12598i 0.786973 + 0.616988i \(0.211647\pi\)
−0.860773 + 0.508989i \(0.830019\pi\)
\(492\) −7.78085 + 0.950013i −0.350788 + 0.0428299i
\(493\) −3.92118 3.43878i −0.176601 0.154875i
\(494\) −2.52630 + 4.60165i −0.113664 + 0.207038i
\(495\) −19.0443 + 11.6654i −0.855979 + 0.524321i
\(496\) 12.3717 26.4507i 0.555506 1.18767i
\(497\) 7.19169 + 26.8398i 0.322591 + 1.20393i
\(498\) −5.24441 0.507025i −0.235007 0.0227203i
\(499\) −2.10631 6.20498i −0.0942912 0.277773i 0.889544 0.456850i \(-0.151022\pi\)
−0.983835 + 0.179077i \(0.942689\pi\)
\(500\) −7.04221 5.65873i −0.314937 0.253066i
\(501\) −5.38799 7.84118i −0.240718 0.350318i
\(502\) −5.04700 + 10.8151i −0.225258 + 0.482701i
\(503\) −15.2915 + 36.9169i −0.681814 + 1.64605i 0.0788393 + 0.996887i \(0.474879\pi\)
−0.760654 + 0.649158i \(0.775121\pi\)
\(504\) 13.3656 + 25.4695i 0.595349 + 1.13450i
\(505\) −1.77280 4.27991i −0.0788885 0.190454i
\(506\) 0.968695 22.0394i 0.0430637 0.979769i
\(507\) −15.4870 + 5.48257i −0.687801 + 0.243489i
\(508\) 9.06433 + 28.8069i 0.402165 + 1.27810i
\(509\) 37.4808 + 18.4835i 1.66131 + 0.819265i 0.997447 + 0.0714064i \(0.0227487\pi\)
0.663858 + 0.747859i \(0.268918\pi\)
\(510\) 6.94293 + 11.1206i 0.307438 + 0.492427i
\(511\) 21.0050 36.3818i 0.929208 1.60944i
\(512\) 12.5217 + 18.8469i 0.553387 + 0.832924i
\(513\) −9.34426 + 4.30453i −0.412559 + 0.190050i
\(514\) 37.4954 + 4.11747i 1.65385 + 0.181614i
\(515\) 4.02506 + 61.4105i 0.177365 + 2.70607i
\(516\) −5.54206 11.5098i −0.243976 0.506691i
\(517\) 7.68681 + 8.76513i 0.338066 + 0.385490i
\(518\) 34.4183 + 21.9410i 1.51225 + 0.964031i
\(519\) 12.3686 + 20.7942i 0.542921 + 0.912765i
\(520\) 13.4365 11.7627i 0.589230 0.515830i
\(521\) −9.42951 + 22.7649i −0.413114 + 0.997346i 0.571182 + 0.820823i \(0.306485\pi\)
−0.984297 + 0.176523i \(0.943515\pi\)
\(522\) −12.9567 + 5.09655i −0.567098 + 0.223070i
\(523\) 3.53297 5.28747i 0.154486 0.231205i −0.746151 0.665777i \(-0.768100\pi\)
0.900637 + 0.434572i \(0.143100\pi\)
\(524\) 0.645732 4.17919i 0.0282090 0.182569i
\(525\) 20.2808 31.2231i 0.885125 1.36269i
\(526\) −11.8373 + 12.3582i −0.516129 + 0.538841i
\(527\) 11.2067 + 3.00281i 0.488169 + 0.130805i
\(528\) −10.4795 11.1682i −0.456062 0.486035i
\(529\) −25.8849 + 6.93584i −1.12543 + 0.301558i
\(530\) −21.8148 + 39.7357i −0.947575 + 1.72601i
\(531\) −4.02029 43.8440i −0.174466 1.90267i
\(532\) −13.4198 0.300648i −0.581823 0.0130347i
\(533\) −3.80481 + 1.87632i −0.164805 + 0.0812726i
\(534\) −12.7190 + 20.5360i −0.550406 + 0.888679i
\(535\) 1.42469 + 10.8216i 0.0615947 + 0.467858i
\(536\) −10.2525 10.2705i −0.442842 0.443617i
\(537\) −24.1272 13.5149i −1.04117 0.583211i
\(538\) 7.62937 6.98694i 0.328926 0.301229i
\(539\) −1.93665 9.73621i −0.0834175 0.419368i
\(540\) 34.8803 2.86783i 1.50101 0.123412i
\(541\) 22.8553 + 34.2054i 0.982627 + 1.47060i 0.879478 + 0.475939i \(0.157892\pi\)
0.103148 + 0.994666i \(0.467108\pi\)
\(542\) −5.39523 35.1215i −0.231745 1.50860i
\(543\) 20.8887 16.4641i 0.896420 0.706543i
\(544\) −6.50326 + 6.20738i −0.278825 + 0.266139i
\(545\) −26.1921 + 15.1220i −1.12195 + 0.647756i
\(546\) 11.3808 + 10.6210i 0.487054 + 0.454537i
\(547\) 16.4832 1.08036i 0.704769 0.0461930i 0.291195 0.956664i \(-0.405947\pi\)
0.413574 + 0.910471i \(0.364280\pi\)
\(548\) 16.9397 24.1623i 0.723626 1.03216i
\(549\) −16.0470 + 25.4223i −0.684870 + 1.08500i
\(550\) −5.96667 + 18.9047i −0.254420 + 0.806097i
\(551\) 0.848098 6.44194i 0.0361302 0.274436i
\(552\) −16.9214 + 30.1467i −0.720221 + 1.28313i
\(553\) −6.86366 52.1347i −0.291873 2.21699i
\(554\) −2.15093 + 12.1777i −0.0913841 + 0.517383i
\(555\) 40.9322 28.1262i 1.73748 1.19389i
\(556\) −10.5028 43.0299i −0.445417 1.82488i
\(557\) 4.55194 22.8841i 0.192872 0.969631i −0.756145 0.654405i \(-0.772919\pi\)
0.949016 0.315227i \(-0.102081\pi\)
\(558\) 20.8358 22.9162i 0.882049 0.970121i
\(559\) −4.88871 4.88871i −0.206770 0.206770i
\(560\) 42.5390 + 16.5996i 1.79760 + 0.701463i
\(561\) 3.64120 4.87519i 0.153732 0.205831i
\(562\) 18.7582 + 17.9676i 0.791268 + 0.757917i
\(563\) −1.92635 5.67486i −0.0811861 0.239167i 0.898756 0.438449i \(-0.144472\pi\)
−0.979942 + 0.199283i \(0.936139\pi\)
\(564\) −4.56233 17.6907i −0.192109 0.744912i
\(565\) −5.68958 11.5373i −0.239363 0.485379i
\(566\) 0.412050 + 4.72562i 0.0173198 + 0.198633i
\(567\) 5.54826 + 29.9995i 0.233005 + 1.25986i
\(568\) 1.49614 + 23.1366i 0.0627765 + 0.970790i
\(569\) 10.1103 + 1.33104i 0.423844 + 0.0558001i 0.339432 0.940631i \(-0.389765\pi\)
0.0844126 + 0.996431i \(0.473099\pi\)
\(570\) −6.71391 + 14.8890i −0.281215 + 0.623630i
\(571\) −8.95949 10.2163i −0.374943 0.427540i 0.533337 0.845903i \(-0.320938\pi\)
−0.908280 + 0.418362i \(0.862604\pi\)
\(572\) −7.34981 3.83152i −0.307311 0.160204i
\(573\) −7.04194 + 6.33938i −0.294181 + 0.264831i
\(574\) −8.74622 6.41692i −0.365060 0.267837i
\(575\) 44.7490 1.86616
\(576\) 6.77174 + 23.0248i 0.282156 + 0.959369i
\(577\) −5.61826 −0.233891 −0.116946 0.993138i \(-0.537310\pi\)
−0.116946 + 0.993138i \(0.537310\pi\)
\(578\) 16.5041 + 12.1087i 0.686482 + 0.503657i
\(579\) 1.71306 + 8.06310i 0.0711925 + 0.335091i
\(580\) −10.2176 + 19.5999i −0.424263 + 0.813843i
\(581\) −4.80760 5.48202i −0.199453 0.227432i
\(582\) 17.2173 1.72696i 0.713679 0.0715850i
\(583\) 20.8596 + 2.74621i 0.863915 + 0.113737i
\(584\) 23.1350 26.3340i 0.957335 1.08971i
\(585\) 17.3050 7.70074i 0.715474 0.318386i
\(586\) 2.50240 + 28.6989i 0.103373 + 1.18554i
\(587\) 2.10662 + 4.27180i 0.0869494 + 0.176316i 0.936004 0.351989i \(-0.114495\pi\)
−0.849055 + 0.528305i \(0.822828\pi\)
\(588\) −4.16743 + 14.9878i −0.171862 + 0.618087i
\(589\) 4.64609 + 13.6870i 0.191439 + 0.563961i
\(590\) −50.4764 48.3488i −2.07808 1.99049i
\(591\) 31.8554 + 3.77341i 1.31036 + 0.155217i
\(592\) 24.5744 + 23.5798i 1.01000 + 0.969124i
\(593\) 30.4526 + 30.4526i 1.25054 + 1.25054i 0.955479 + 0.295060i \(0.0953395\pi\)
0.295060 + 0.955479i \(0.404661\pi\)
\(594\) −7.11249 14.6041i −0.291829 0.599215i
\(595\) −3.53945 + 17.7940i −0.145103 + 0.729484i
\(596\) 32.2178 7.86375i 1.31969 0.322112i
\(597\) −2.01158 25.5907i −0.0823286 1.04736i
\(598\) −3.25433 + 18.4248i −0.133079 + 0.753446i
\(599\) 2.21691 + 16.8391i 0.0905805 + 0.688027i 0.975138 + 0.221597i \(0.0711268\pi\)
−0.884558 + 0.466430i \(0.845540\pi\)
\(600\) 21.6990 22.2315i 0.885858 0.907597i
\(601\) 4.92737 37.4271i 0.200992 1.52668i −0.532175 0.846634i \(-0.678625\pi\)
0.733167 0.680049i \(-0.238041\pi\)
\(602\) 5.32094 16.8587i 0.216865 0.687111i
\(603\) −7.16427 13.6233i −0.291752 0.554785i
\(604\) −29.2520 20.5079i −1.19025 0.834453i
\(605\) −20.5444 + 1.34655i −0.835249 + 0.0547451i
\(606\) 3.22264 0.983898i 0.130911 0.0399681i
\(607\) −11.8454 + 6.83896i −0.480791 + 0.277585i −0.720746 0.693199i \(-0.756201\pi\)
0.239955 + 0.970784i \(0.422867\pi\)
\(608\) −10.9312 2.44010i −0.443318 0.0989593i
\(609\) −17.8954 7.14152i −0.725158 0.289389i
\(610\) 7.24659 + 47.1733i 0.293406 + 1.90999i
\(611\) −5.49323 8.22119i −0.222232 0.332594i
\(612\) −8.53699 + 4.24815i −0.345087 + 0.171721i
\(613\) 3.98722 + 20.0451i 0.161042 + 0.809614i 0.973869 + 0.227109i \(0.0729274\pi\)
−0.812827 + 0.582505i \(0.802073\pi\)
\(614\) 13.9019 12.7313i 0.561035 0.513793i
\(615\) −11.3440 + 6.74748i −0.457432 + 0.272085i
\(616\) 0.0185309 21.1941i 0.000746629 0.853936i
\(617\) −0.373302 2.83551i −0.0150286 0.114153i 0.982286 0.187386i \(-0.0600016\pi\)
−0.997315 + 0.0732331i \(0.976668\pi\)
\(618\) −44.7415 1.38429i −1.79977 0.0556843i
\(619\) −21.0316 + 10.3716i −0.845329 + 0.416870i −0.812760 0.582599i \(-0.802036\pi\)
−0.0325698 + 0.999469i \(0.510369\pi\)
\(620\) 1.10129 49.1574i 0.0442287 1.97421i
\(621\) −26.6053 + 25.2330i −1.06763 + 1.01257i
\(622\) 5.54287 10.0963i 0.222249 0.404827i
\(623\) −32.2896 + 8.65198i −1.29366 + 0.346634i
\(624\) 7.57547 + 10.5510i 0.303262 + 0.422379i
\(625\) 15.9325 + 4.26910i 0.637300 + 0.170764i
\(626\) −3.44967 + 3.60147i −0.137877 + 0.143944i
\(627\) 7.57027 + 0.397463i 0.302328 + 0.0158732i
\(628\) −10.2543 1.58441i −0.409192 0.0632248i
\(629\) −7.51771 + 11.2511i −0.299751 + 0.448609i
\(630\) 37.8895 + 30.1685i 1.50956 + 1.20194i
\(631\) −6.27579 + 15.1511i −0.249835 + 0.603156i −0.998190 0.0601434i \(-0.980844\pi\)
0.748355 + 0.663299i \(0.230844\pi\)
\(632\) 2.90792 43.7798i 0.115671 1.74146i
\(633\) −15.9122 + 0.206788i −0.632454 + 0.00821909i
\(634\) 34.0646 + 21.7155i 1.35288 + 0.862432i
\(635\) 33.5283 + 38.2317i 1.33053 + 1.51718i
\(636\) −27.2408 18.5746i −1.08017 0.736533i
\(637\) 0.550643 + 8.40118i 0.0218173 + 0.332867i
\(638\) 10.1978 + 1.11985i 0.403734 + 0.0443351i
\(639\) −5.74528 + 23.9108i −0.227280 + 0.945895i
\(640\) 32.0922 + 20.5372i 1.26856 + 0.811802i
\(641\) 10.8706 18.8284i 0.429363 0.743679i −0.567454 0.823405i \(-0.692071\pi\)
0.996817 + 0.0797267i \(0.0254048\pi\)
\(642\) −7.93429 + 0.274001i −0.313141 + 0.0108139i
\(643\) −10.2014 5.03077i −0.402304 0.198394i 0.229869 0.973222i \(-0.426170\pi\)
−0.632173 + 0.774827i \(0.717837\pi\)
\(644\) −45.6362 + 14.3598i −1.79832 + 0.565855i
\(645\) −16.3553 13.9714i −0.643989 0.550125i
\(646\) 0.195403 4.44573i 0.00768802 0.174915i
\(647\) −18.2150 43.9748i −0.716104 1.72883i −0.684152 0.729339i \(-0.739828\pi\)
−0.0319518 0.999489i \(-0.510172\pi\)
\(648\) −0.365148 + 25.4532i −0.0143444 + 0.999897i
\(649\) −12.4149 + 29.9723i −0.487328 + 1.17651i
\(650\) 7.10991 15.2357i 0.278874 0.597592i
\(651\) 42.7301 3.35884i 1.67473 0.131643i
\(652\) 9.43348 11.7399i 0.369444 0.459768i
\(653\) −7.41829 21.8536i −0.290300 0.855196i −0.990038 0.140797i \(-0.955033\pi\)
0.699738 0.714399i \(-0.253300\pi\)
\(654\) −9.11471 20.0209i −0.356413 0.782880i
\(655\) −1.84295 6.87797i −0.0720098 0.268744i
\(656\) −6.10717 6.68042i −0.238445 0.260827i
\(657\) 31.7042 19.4201i 1.23690 0.757649i
\(658\) 12.1672 22.1626i 0.474327 0.863987i
\(659\) −1.15417 1.01218i −0.0449601 0.0394290i 0.636571 0.771218i \(-0.280352\pi\)
−0.681531 + 0.731789i \(0.738686\pi\)
\(660\) −23.7312 10.0923i −0.923736 0.392842i
\(661\) 1.13297 17.2858i 0.0440674 0.672339i −0.917494 0.397749i \(-0.869791\pi\)
0.961562 0.274590i \(-0.0885420\pi\)
\(662\) −6.95990 1.22931i −0.270504 0.0477784i
\(663\) −3.60143 + 3.69627i −0.139868 + 0.143551i
\(664\) −3.03737 5.27152i −0.117873 0.204575i
\(665\) −20.8820 + 8.64961i −0.809770 + 0.335418i
\(666\) 17.4977 + 31.6026i 0.678023 + 1.22458i
\(667\) −4.51792 22.7131i −0.174934 0.879455i
\(668\) 3.76335 10.3210i 0.145609 0.399332i
\(669\) 28.0759 + 31.1875i 1.08548 + 1.20578i
\(670\) −22.7718 8.86312i −0.879752 0.342412i
\(671\) 19.1841 11.0760i 0.740595 0.427583i
\(672\) −14.9952 + 29.6354i −0.578452 + 1.14321i
\(673\) −16.2766 9.39729i −0.627416 0.362239i 0.152334 0.988329i \(-0.451321\pi\)
−0.779751 + 0.626090i \(0.784654\pi\)
\(674\) −15.2105 18.9632i −0.585886 0.730435i
\(675\) 28.9618 15.7143i 1.11474 0.604842i
\(676\) −15.5332 10.8900i −0.597432 0.418846i
\(677\) −4.88986 1.65988i −0.187932 0.0637945i 0.225887 0.974154i \(-0.427472\pi\)
−0.413819 + 0.910359i \(0.635805\pi\)
\(678\) 8.75099 3.31159i 0.336080 0.127181i
\(679\) 18.9978 + 14.5775i 0.729068 + 0.559434i
\(680\) −5.80532 + 13.9807i −0.222624 + 0.536136i
\(681\) 1.05841 + 0.268909i 0.0405583 + 0.0103046i
\(682\) −21.4477 + 7.79925i −0.821275 + 0.298649i
\(683\) 3.77882 + 2.52493i 0.144593 + 0.0966137i 0.625762 0.780014i \(-0.284788\pi\)
−0.481170 + 0.876627i \(0.659788\pi\)
\(684\) −10.3093 5.90284i −0.394187 0.225701i
\(685\) 9.69368 48.7334i 0.370377 1.86201i
\(686\) 10.2856 6.23738i 0.392708 0.238144i
\(687\) 12.5845 5.40529i 0.480127 0.206225i
\(688\) 7.11006 12.9242i 0.271068 0.492729i
\(689\) −17.2360 4.61837i −0.656639 0.175946i
\(690\) −5.60178 + 57.9419i −0.213256 + 2.20581i
\(691\) −8.61877 + 9.82783i −0.327874 + 0.373868i −0.892167 0.451706i \(-0.850815\pi\)
0.564293 + 0.825575i \(0.309149\pi\)
\(692\) −11.2667 + 25.5650i −0.428295 + 0.971837i
\(693\) 6.67028 21.4674i 0.253383 0.815478i
\(694\) 1.06787 + 12.2469i 0.0405359 + 0.464888i
\(695\) −45.4030 59.1704i −1.72224 2.24446i
\(696\) −13.4747 8.76917i −0.510758 0.332395i
\(697\) 2.18923 2.85306i 0.0829231 0.108067i
\(698\) 4.96731 7.79210i 0.188015 0.294935i
\(699\) −27.0263 23.0871i −1.02223 0.873234i
\(700\) 42.9516 1.85022i 1.62342 0.0699318i
\(701\) 14.5822 9.74351i 0.550762 0.368007i −0.248834 0.968546i \(-0.580047\pi\)
0.799596 + 0.600539i \(0.205047\pi\)
\(702\) 4.36391 + 13.0674i 0.164705 + 0.493198i
\(703\) −16.8579 −0.635808
\(704\) 3.48035 17.3384i 0.131171 0.653466i
\(705\) −19.0429 24.1605i −0.717195 0.909936i
\(706\) −18.8001 + 8.26572i −0.707552 + 0.311084i
\(707\) 4.18209 + 2.06238i 0.157284 + 0.0775637i
\(708\) 38.5364 33.1596i 1.44829 1.24621i
\(709\) 2.60220 7.66582i 0.0977275 0.287896i −0.887061 0.461652i \(-0.847257\pi\)
0.984789 + 0.173756i \(0.0555903\pi\)
\(710\) 18.0164 + 34.6339i 0.676145 + 1.29979i
\(711\) 16.6859 43.4436i 0.625770 1.62926i
\(712\) −27.8345 + 1.79993i −1.04314 + 0.0674553i
\(713\) 31.3610 + 40.8705i 1.17448 + 1.53061i
\(714\) −12.6347 3.80794i −0.472842 0.142509i
\(715\) −13.9267 0.912807i −0.520831 0.0341370i
\(716\) −3.45791 31.7449i −0.129228 1.18636i
\(717\) −22.4802 + 34.6093i −0.839540 + 1.29251i
\(718\) −11.4873 + 46.8855i −0.428702 + 1.74975i
\(719\) 24.9754 24.9754i 0.931426 0.931426i −0.0663692 0.997795i \(-0.521142\pi\)
0.997795 + 0.0663692i \(0.0211415\pi\)
\(720\) 26.0694 + 30.8793i 0.971550 + 1.15080i
\(721\) −43.8028 43.8028i −1.63130 1.63130i
\(722\) −18.2352 + 11.0581i −0.678643 + 0.411540i
\(723\) −0.933128 + 17.7728i −0.0347034 + 0.660977i
\(724\) 29.4797 + 8.61120i 1.09561 + 0.320033i
\(725\) −1.36104 + 20.7655i −0.0505479 + 0.771212i
\(726\) 0.463103 14.9679i 0.0171874 0.555511i
\(727\) 6.99863 5.37024i 0.259565 0.199171i −0.470778 0.882252i \(-0.656027\pi\)
0.730343 + 0.683080i \(0.239360\pi\)
\(728\) −2.36180 + 17.8193i −0.0875343 + 0.660426i
\(729\) −8.35812 + 25.6738i −0.309560 + 0.950880i
\(730\) 17.7651 56.2866i 0.657517 2.08326i
\(731\) 5.54970 + 1.88387i 0.205263 + 0.0696774i
\(732\) −34.6595 + 1.94454i −1.28105 + 0.0718721i
\(733\) 19.0588 38.6474i 0.703953 1.42748i −0.191125 0.981566i \(-0.561214\pi\)
0.895078 0.445910i \(-0.147120\pi\)
\(734\) −0.781911 + 2.00895i −0.0288609 + 0.0741516i
\(735\) 3.75626 + 25.9238i 0.138552 + 0.956214i
\(736\) −39.6882 + 4.28804i −1.46293 + 0.158059i
\(737\) 11.3417i 0.417777i
\(738\) −4.09101 8.68503i −0.150592 0.319700i
\(739\) 22.0886 + 33.0580i 0.812543 + 1.21606i 0.973408 + 0.229080i \(0.0735717\pi\)
−0.160865 + 0.986976i \(0.551428\pi\)
\(740\) 53.8774 + 19.6453i 1.98057 + 0.722177i
\(741\) −6.32154 1.17225i −0.232228 0.0430637i
\(742\) −9.86267 44.5491i −0.362070 1.63545i
\(743\) 19.9932 + 15.3413i 0.733479 + 0.562818i 0.906554 0.422091i \(-0.138704\pi\)
−0.173075 + 0.984909i \(0.555370\pi\)
\(744\) 35.5117 + 4.23800i 1.30192 + 0.155373i
\(745\) 44.3027 33.9946i 1.62312 1.24547i
\(746\) 0.905754 1.07880i 0.0331620 0.0394976i
\(747\) −1.42296 6.29416i −0.0520636 0.230291i
\(748\) 7.02446 + 0.157371i 0.256840 + 0.00575405i
\(749\) −8.26020 7.24400i −0.301821 0.264690i
\(750\) 3.87884 10.3622i 0.141635 0.378375i
\(751\) −9.18677 + 34.2855i −0.335230 + 1.25110i 0.568390 + 0.822759i \(0.307567\pi\)
−0.903620 + 0.428336i \(0.859100\pi\)
\(752\) 13.5790 16.1445i 0.495174 0.588730i
\(753\) −14.5155 1.71943i −0.528976 0.0626594i
\(754\) −8.45094 2.07054i −0.307765 0.0754047i
\(755\) −58.9988 11.7356i −2.14718 0.427102i
\(756\) −24.4933 + 25.3195i −0.890813 + 0.920862i
\(757\) −0.182873 + 0.273689i −0.00664665 + 0.00994741i −0.834778 0.550587i \(-0.814404\pi\)
0.828131 + 0.560534i \(0.189404\pi\)
\(758\) −10.2863 + 22.0422i −0.373614 + 0.800609i
\(759\) 26.0049 7.33148i 0.943920 0.266116i
\(760\) −18.5002 + 3.66311i −0.671074 + 0.132875i
\(761\) 4.83158 6.29664i 0.175145 0.228253i −0.697529 0.716556i \(-0.745717\pi\)
0.872674 + 0.488303i \(0.162384\pi\)
\(762\) −30.0256 + 21.5977i −1.08771 + 0.782404i
\(763\) 9.78548 28.8271i 0.354258 1.04361i
\(764\) −10.6801 2.37426i −0.386393 0.0858977i
\(765\) −10.2694 + 12.3429i −0.371292 + 0.446257i
\(766\) 31.8299 + 3.49533i 1.15006 + 0.126292i
\(767\) 13.7572 23.8281i 0.496743 0.860385i
\(768\) −17.1147 + 21.7965i −0.617572 + 0.786514i
\(769\) −2.83761 4.91488i −0.102327 0.177235i 0.810316 0.585993i \(-0.199295\pi\)
−0.912643 + 0.408758i \(0.865962\pi\)
\(770\) −14.3635 32.6694i −0.517626 1.17733i
\(771\) 9.60087 + 45.1897i 0.345767 + 1.62747i
\(772\) −6.43454 + 7.01386i −0.231584 + 0.252434i
\(773\)