Properties

Label 576.2.bm.a.205.57
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 205.57
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.57

$q$-expansion

\(f(q)\) \(=\) \(q+(0.359606 - 1.36773i) q^{2} +(0.298442 - 1.70615i) q^{3} +(-1.74137 - 0.983687i) q^{4} +(0.924132 + 1.05377i) q^{5} +(-2.22622 - 1.02173i) q^{6} +(4.48276 + 0.590167i) q^{7} +(-1.97162 + 2.02798i) q^{8} +(-2.82187 - 1.01837i) q^{9} +O(q^{10})\) \(q+(0.359606 - 1.36773i) q^{2} +(0.298442 - 1.70615i) q^{3} +(-1.74137 - 0.983687i) q^{4} +(0.924132 + 1.05377i) q^{5} +(-2.22622 - 1.02173i) q^{6} +(4.48276 + 0.590167i) q^{7} +(-1.97162 + 2.02798i) q^{8} +(-2.82187 - 1.01837i) q^{9} +(1.77360 - 0.885021i) q^{10} +(-1.71336 - 3.47435i) q^{11} +(-2.19801 + 2.67745i) q^{12} +(-0.777400 - 2.29015i) q^{13} +(2.41921 - 5.91897i) q^{14} +(2.07369 - 1.26221i) q^{15} +(2.06472 + 3.42592i) q^{16} +(-4.38076 - 4.38076i) q^{17} +(-2.40761 + 3.49334i) q^{18} +(0.960595 - 4.82924i) q^{19} +(-0.572673 - 2.74406i) q^{20} +(2.34475 - 7.47211i) q^{21} +(-5.36810 + 1.09402i) q^{22} +(1.02233 + 7.76534i) q^{23} +(2.87161 + 3.96911i) q^{24} +(0.396218 - 3.00958i) q^{25} +(-3.41186 + 0.239723i) q^{26} +(-2.57965 + 4.51059i) q^{27} +(-7.22559 - 5.43733i) q^{28} +(7.06050 - 0.462769i) q^{29} +(-0.980659 - 3.29014i) q^{30} +(-0.129689 + 0.0748762i) q^{31} +(5.42822 - 1.59200i) q^{32} +(-6.43908 + 1.88635i) q^{33} +(-7.56703 + 4.41634i) q^{34} +(3.52076 + 5.26919i) q^{35} +(3.91215 + 4.54919i) q^{36} +(0.836186 + 4.20379i) q^{37} +(-6.25966 - 3.05046i) q^{38} +(-4.13933 + 0.642883i) q^{39} +(-3.95907 - 0.203517i) q^{40} +(0.688328 + 5.22837i) q^{41} +(-9.37664 - 5.89400i) q^{42} +(-0.680767 + 0.335717i) q^{43} +(-0.434082 + 7.73552i) q^{44} +(-1.53465 - 3.91471i) q^{45} +(10.9885 + 1.39419i) q^{46} +(-6.96522 + 1.86633i) q^{47} +(6.46132 - 2.50028i) q^{48} +(12.9854 + 3.47942i) q^{49} +(-3.97380 - 1.62418i) q^{50} +(-8.78161 + 6.16681i) q^{51} +(-0.899048 + 4.75271i) q^{52} +(2.43350 - 3.64199i) q^{53} +(5.24161 + 5.15030i) q^{54} +(2.07780 - 5.01624i) q^{55} +(-10.0352 + 7.92736i) q^{56} +(-7.95270 - 3.08016i) q^{57} +(1.90605 - 9.82326i) q^{58} +(-3.61828 - 4.12586i) q^{59} +(-4.85267 + 0.158122i) q^{60} +(0.273068 + 4.16621i) q^{61} +(0.0557733 + 0.204306i) q^{62} +(-12.0487 - 6.23048i) q^{63} +(-0.225406 - 7.99682i) q^{64} +(1.69487 - 2.93560i) q^{65} +(0.264484 + 9.48526i) q^{66} +(14.0532 + 6.93027i) q^{67} +(3.31921 + 11.9378i) q^{68} +(13.5539 + 0.573264i) q^{69} +(8.47292 - 2.92062i) q^{70} +(4.52696 + 10.9290i) q^{71} +(7.62889 - 3.71484i) q^{72} +(2.67255 - 6.45210i) q^{73} +(6.05034 + 0.368031i) q^{74} +(-5.01653 - 1.57419i) q^{75} +(-6.42321 + 7.46455i) q^{76} +(-5.63013 - 16.5858i) q^{77} +(-0.609239 + 5.89267i) q^{78} +(0.189066 + 0.705603i) q^{79} +(-1.70206 + 5.34175i) q^{80} +(6.92584 + 5.74741i) q^{81} +(7.39853 + 0.938706i) q^{82} +(3.58112 + 3.14055i) q^{83} +(-11.4333 + 10.7052i) q^{84} +(0.567915 - 8.66471i) q^{85} +(0.214362 + 1.05183i) q^{86} +(1.31760 - 12.1843i) q^{87} +(10.4240 + 3.37544i) q^{88} +(-3.19080 + 1.32167i) q^{89} +(-5.90613 + 0.691231i) q^{90} +(-2.13333 - 10.7250i) q^{91} +(5.85841 - 14.5280i) q^{92} +(0.0890449 + 0.243615i) q^{93} +(0.0478946 + 10.1977i) q^{94} +(5.97663 - 3.45061i) q^{95} +(-1.09618 - 9.73645i) q^{96} +(10.7249 + 6.19202i) q^{97} +(9.42851 - 16.5092i) q^{98} +(1.29669 + 11.5490i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.359606 1.36773i 0.254280 0.967131i
\(3\) 0.298442 1.70615i 0.172305 0.985044i
\(4\) −1.74137 0.983687i −0.870684 0.491843i
\(5\) 0.924132 + 1.05377i 0.413285 + 0.471261i 0.920604 0.390497i \(-0.127697\pi\)
−0.507320 + 0.861758i \(0.669364\pi\)
\(6\) −2.22622 1.02173i −0.908852 0.417118i
\(7\) 4.48276 + 0.590167i 1.69432 + 0.223062i 0.914970 0.403522i \(-0.132214\pi\)
0.779354 + 0.626584i \(0.215547\pi\)
\(8\) −1.97162 + 2.02798i −0.697074 + 0.716999i
\(9\) −2.82187 1.01837i −0.940622 0.339457i
\(10\) 1.77360 0.885021i 0.560861 0.279868i
\(11\) −1.71336 3.47435i −0.516597 1.04755i −0.986335 0.164749i \(-0.947319\pi\)
0.469739 0.882806i \(-0.344348\pi\)
\(12\) −2.19801 + 2.67745i −0.634511 + 0.772914i
\(13\) −0.777400 2.29015i −0.215612 0.635173i −0.999891 0.0147643i \(-0.995300\pi\)
0.784279 0.620408i \(-0.213033\pi\)
\(14\) 2.41921 5.91897i 0.646562 1.58191i
\(15\) 2.07369 1.26221i 0.535423 0.325903i
\(16\) 2.06472 + 3.42592i 0.516180 + 0.856480i
\(17\) −4.38076 4.38076i −1.06249 1.06249i −0.997913 0.0645764i \(-0.979430\pi\)
−0.0645764 0.997913i \(-0.520570\pi\)
\(18\) −2.40761 + 3.49334i −0.567480 + 0.823387i
\(19\) 0.960595 4.82924i 0.220376 1.10790i −0.699181 0.714945i \(-0.746452\pi\)
0.919556 0.392958i \(-0.128548\pi\)
\(20\) −0.572673 2.74406i −0.128054 0.613590i
\(21\) 2.34475 7.47211i 0.511667 1.63055i
\(22\) −5.36810 + 1.09402i −1.14448 + 0.233245i
\(23\) 1.02233 + 7.76534i 0.213170 + 1.61918i 0.678881 + 0.734248i \(0.262465\pi\)
−0.465712 + 0.884936i \(0.654202\pi\)
\(24\) 2.87161 + 3.96911i 0.586166 + 0.810191i
\(25\) 0.396218 3.00958i 0.0792437 0.601915i
\(26\) −3.41186 + 0.239723i −0.669121 + 0.0470136i
\(27\) −2.57965 + 4.51059i −0.496454 + 0.868063i
\(28\) −7.22559 5.43733i −1.36551 1.02756i
\(29\) 7.06050 0.462769i 1.31110 0.0859341i 0.606241 0.795281i \(-0.292677\pi\)
0.704860 + 0.709347i \(0.251010\pi\)
\(30\) −0.980659 3.29014i −0.179043 0.600695i
\(31\) −0.129689 + 0.0748762i −0.0232929 + 0.0134482i −0.511601 0.859223i \(-0.670947\pi\)
0.488308 + 0.872671i \(0.337614\pi\)
\(32\) 5.42822 1.59200i 0.959582 0.281428i
\(33\) −6.43908 + 1.88635i −1.12090 + 0.328371i
\(34\) −7.56703 + 4.41634i −1.29774 + 0.757397i
\(35\) 3.52076 + 5.26919i 0.595118 + 0.890656i
\(36\) 3.91215 + 4.54919i 0.652024 + 0.758198i
\(37\) 0.836186 + 4.20379i 0.137468 + 0.691099i 0.986631 + 0.162968i \(0.0521068\pi\)
−0.849163 + 0.528130i \(0.822893\pi\)
\(38\) −6.25966 3.05046i −1.01545 0.494849i
\(39\) −4.13933 + 0.642883i −0.662824 + 0.102944i
\(40\) −3.95907 0.203517i −0.625983 0.0321789i
\(41\) 0.688328 + 5.22837i 0.107499 + 0.816535i 0.957232 + 0.289322i \(0.0934297\pi\)
−0.849733 + 0.527213i \(0.823237\pi\)
\(42\) −9.37664 5.89400i −1.44685 0.909464i
\(43\) −0.680767 + 0.335717i −0.103816 + 0.0511964i −0.493455 0.869771i \(-0.664266\pi\)
0.389639 + 0.920968i \(0.372600\pi\)
\(44\) −0.434082 + 7.73552i −0.0654404 + 1.16617i
\(45\) −1.53465 3.91471i −0.228772 0.583570i
\(46\) 10.9885 + 1.39419i 1.62017 + 0.205563i
\(47\) −6.96522 + 1.86633i −1.01598 + 0.272232i −0.728127 0.685442i \(-0.759609\pi\)
−0.287855 + 0.957674i \(0.592942\pi\)
\(48\) 6.46132 2.50028i 0.932611 0.360884i
\(49\) 12.9854 + 3.47942i 1.85505 + 0.497059i
\(50\) −3.97380 1.62418i −0.561981 0.229694i
\(51\) −8.78161 + 6.16681i −1.22967 + 0.863525i
\(52\) −0.899048 + 4.75271i −0.124676 + 0.659082i
\(53\) 2.43350 3.64199i 0.334267 0.500266i −0.625820 0.779968i \(-0.715236\pi\)
0.960087 + 0.279702i \(0.0902355\pi\)
\(54\) 5.24161 + 5.15030i 0.713292 + 0.700867i
\(55\) 2.07780 5.01624i 0.280170 0.676390i
\(56\) −10.0352 + 7.92736i −1.34100 + 1.05934i
\(57\) −7.95270 3.08016i −1.05336 0.407977i
\(58\) 1.90605 9.82326i 0.250277 1.28986i
\(59\) −3.61828 4.12586i −0.471060 0.537141i 0.466704 0.884414i \(-0.345441\pi\)
−0.937764 + 0.347272i \(0.887108\pi\)
\(60\) −4.85267 + 0.158122i −0.626477 + 0.0204135i
\(61\) 0.273068 + 4.16621i 0.0349628 + 0.533429i 0.979035 + 0.203691i \(0.0652937\pi\)
−0.944073 + 0.329738i \(0.893040\pi\)
\(62\) 0.0557733 + 0.204306i 0.00708322 + 0.0259469i
\(63\) −12.0487 6.23048i −1.51800 0.784967i
\(64\) −0.225406 7.99682i −0.0281758 0.999603i
\(65\) 1.69487 2.93560i 0.210223 0.364117i
\(66\) 0.264484 + 9.48526i 0.0325558 + 1.16755i
\(67\) 14.0532 + 6.93027i 1.71687 + 0.846668i 0.986529 + 0.163587i \(0.0523065\pi\)
0.730343 + 0.683080i \(0.239360\pi\)
\(68\) 3.31921 + 11.9378i 0.402514 + 1.44767i
\(69\) 13.5539 + 0.573264i 1.63170 + 0.0690128i
\(70\) 8.47292 2.92062i 1.01271 0.349081i
\(71\) 4.52696 + 10.9290i 0.537251 + 1.29704i 0.926635 + 0.375963i \(0.122688\pi\)
−0.389384 + 0.921076i \(0.627312\pi\)
\(72\) 7.62889 3.71484i 0.899073 0.437799i
\(73\) 2.67255 6.45210i 0.312798 0.755161i −0.686801 0.726845i \(-0.740986\pi\)
0.999599 0.0283156i \(-0.00901432\pi\)
\(74\) 6.05034 + 0.368031i 0.703338 + 0.0427827i
\(75\) −5.01653 1.57419i −0.579259 0.181772i
\(76\) −6.42321 + 7.46455i −0.736792 + 0.856243i
\(77\) −5.63013 16.5858i −0.641613 1.89013i
\(78\) −0.609239 + 5.89267i −0.0689827 + 0.667214i
\(79\) 0.189066 + 0.705603i 0.0212715 + 0.0793865i 0.975746 0.218907i \(-0.0702492\pi\)
−0.954474 + 0.298294i \(0.903583\pi\)
\(80\) −1.70206 + 5.34175i −0.190296 + 0.597225i
\(81\) 6.92584 + 5.74741i 0.769538 + 0.638601i
\(82\) 7.39853 + 0.938706i 0.817031 + 0.103663i
\(83\) 3.58112 + 3.14055i 0.393078 + 0.344721i 0.832958 0.553336i \(-0.186646\pi\)
−0.439880 + 0.898057i \(0.644979\pi\)
\(84\) −11.4333 + 10.7052i −1.24747 + 1.16803i
\(85\) 0.567915 8.66471i 0.0615990 0.939820i
\(86\) 0.214362 + 1.05183i 0.0231153 + 0.113422i
\(87\) 1.31760 12.1843i 0.141261 1.30630i
\(88\) 10.4240 + 3.37544i 1.11120 + 0.359824i
\(89\) −3.19080 + 1.32167i −0.338224 + 0.140097i −0.545330 0.838222i \(-0.683596\pi\)
0.207106 + 0.978319i \(0.433596\pi\)
\(90\) −5.90613 + 0.691231i −0.622561 + 0.0728622i
\(91\) −2.13333 10.7250i −0.223634 1.12428i
\(92\) 5.85841 14.5280i 0.610782 1.51464i
\(93\) 0.0890449 + 0.243615i 0.00923353 + 0.0252617i
\(94\) 0.0478946 + 10.1977i 0.00493995 + 1.05181i
\(95\) 5.97663 3.45061i 0.613189 0.354025i
\(96\) −1.09618 9.73645i −0.111878 0.993722i
\(97\) 10.7249 + 6.19202i 1.08895 + 0.628704i 0.933296 0.359108i \(-0.116919\pi\)
0.155651 + 0.987812i \(0.450252\pi\)
\(98\) 9.42851 16.5092i 0.952423 1.66768i
\(99\) 1.29669 + 11.5490i 0.130323 + 1.16071i
\(100\) −3.65044 + 4.85102i −0.365044 + 0.485102i
\(101\) −4.42694 1.50274i −0.440497 0.149529i 0.0923751 0.995724i \(-0.470554\pi\)
−0.532872 + 0.846196i \(0.678887\pi\)
\(102\) 5.27661 + 14.2285i 0.522462 + 1.40883i
\(103\) 10.7790 + 8.27101i 1.06208 + 0.814966i 0.983312 0.181926i \(-0.0582332\pi\)
0.0787727 + 0.996893i \(0.474900\pi\)
\(104\) 6.17711 + 2.93876i 0.605716 + 0.288169i
\(105\) 10.0408 4.43439i 0.979877 0.432752i
\(106\) −4.10616 4.63805i −0.398825 0.450487i
\(107\) −8.64801 5.77842i −0.836035 0.558620i 0.0622369 0.998061i \(-0.480177\pi\)
−0.898271 + 0.439441i \(0.855177\pi\)
\(108\) 8.92912 5.31702i 0.859205 0.511631i
\(109\) 1.73740 8.73449i 0.166413 0.836612i −0.803901 0.594763i \(-0.797246\pi\)
0.970314 0.241849i \(-0.0777540\pi\)
\(110\) −6.11367 4.64573i −0.582916 0.442953i
\(111\) 7.42183 0.172068i 0.704449 0.0163320i
\(112\) 7.23378 + 16.5761i 0.683528 + 1.56629i
\(113\) −16.8939 4.52670i −1.58924 0.425836i −0.647471 0.762090i \(-0.724173\pi\)
−0.941771 + 0.336254i \(0.890840\pi\)
\(114\) −7.07266 + 9.76950i −0.662416 + 0.914998i
\(115\) −7.23812 + 8.25349i −0.674958 + 0.769642i
\(116\) −12.7501 6.13947i −1.18382 0.570035i
\(117\) −0.138499 + 7.25417i −0.0128042 + 0.670648i
\(118\) −6.94422 + 3.46515i −0.639267 + 0.318993i
\(119\) −17.0525 22.2232i −1.56320 2.03720i
\(120\) −1.52878 + 6.69401i −0.139558 + 0.611076i
\(121\) −2.43911 + 3.17871i −0.221737 + 0.288974i
\(122\) 5.79645 + 1.12471i 0.524785 + 0.101826i
\(123\) 9.12579 + 0.385977i 0.822845 + 0.0348023i
\(124\) 0.299492 0.00281326i 0.0268951 0.000252638i
\(125\) 9.36446 6.25713i 0.837583 0.559655i
\(126\) −12.8544 + 14.2389i −1.14516 + 1.26850i
\(127\) −14.1391 −1.25464 −0.627320 0.778761i \(-0.715848\pi\)
−0.627320 + 0.778761i \(0.715848\pi\)
\(128\) −11.0185 2.56741i −0.973911 0.226929i
\(129\) 0.369613 + 1.26168i 0.0325426 + 0.111085i
\(130\) −3.40562 3.37378i −0.298693 0.295900i
\(131\) 4.55043 + 2.24403i 0.397573 + 0.196061i 0.630075 0.776535i \(-0.283024\pi\)
−0.232501 + 0.972596i \(0.574691\pi\)
\(132\) 13.0684 + 3.04921i 1.13746 + 0.265400i
\(133\) 7.15617 21.0814i 0.620519 1.82799i
\(134\) 14.5324 16.7288i 1.25540 1.44515i
\(135\) −7.13706 + 1.45002i −0.614261 + 0.124798i
\(136\) 17.5213 0.246887i 1.50244 0.0211704i
\(137\) 7.58765 + 9.88842i 0.648257 + 0.844825i 0.995677 0.0928849i \(-0.0296089\pi\)
−0.347420 + 0.937710i \(0.612942\pi\)
\(138\) 5.65813 18.3319i 0.481652 1.56052i
\(139\) −8.13816 0.533403i −0.690270 0.0452427i −0.283768 0.958893i \(-0.591585\pi\)
−0.406501 + 0.913650i \(0.633251\pi\)
\(140\) −0.947706 12.6389i −0.0800958 1.06818i
\(141\) 1.10551 + 12.4407i 0.0931008 + 1.04769i
\(142\) 16.5759 2.26151i 1.39102 0.189781i
\(143\) −6.62480 + 6.62480i −0.553994 + 0.553994i
\(144\) −2.33751 11.7701i −0.194792 0.980844i
\(145\) 7.01249 + 7.01249i 0.582355 + 0.582355i
\(146\) −7.86366 5.97553i −0.650801 0.494539i
\(147\) 9.81176 21.1165i 0.809261 1.74166i
\(148\) 2.67910 8.14289i 0.220221 0.669341i
\(149\) 0.168774 2.57500i 0.0138265 0.210952i −0.985355 0.170513i \(-0.945458\pi\)
0.999182 0.0404392i \(-0.0128757\pi\)
\(150\) −3.95704 + 6.29516i −0.323091 + 0.513998i
\(151\) −6.49156 + 4.98115i −0.528275 + 0.405360i −0.838168 0.545411i \(-0.816373\pi\)
0.309893 + 0.950771i \(0.399707\pi\)
\(152\) 7.89967 + 11.4695i 0.640748 + 0.930300i
\(153\) 7.90067 + 16.8231i 0.638731 + 1.36007i
\(154\) −24.7095 + 1.73614i −1.99115 + 0.139902i
\(155\) −0.198752 0.0674674i −0.0159642 0.00541911i
\(156\) 7.84050 + 2.95231i 0.627742 + 0.236374i
\(157\) 2.80903 5.69615i 0.224185 0.454602i −0.755499 0.655150i \(-0.772606\pi\)
0.979684 + 0.200548i \(0.0642722\pi\)
\(158\) 1.03306 0.00485190i 0.0821860 0.000385996i
\(159\) −5.48751 5.23883i −0.435188 0.415466i
\(160\) 6.69399 + 4.24888i 0.529207 + 0.335903i
\(161\) 35.4135i 2.79097i
\(162\) 10.3515 7.40588i 0.813288 0.581861i
\(163\) 6.16104 + 9.22065i 0.482570 + 0.722217i 0.990246 0.139331i \(-0.0444952\pi\)
−0.507676 + 0.861548i \(0.669495\pi\)
\(164\) 3.94445 9.78162i 0.308010 0.763816i
\(165\) −7.93834 5.04208i −0.617999 0.392525i
\(166\) 5.58322 3.76864i 0.433342 0.292503i
\(167\) 0.307343 + 0.235833i 0.0237829 + 0.0182493i 0.620585 0.784140i \(-0.286895\pi\)
−0.596802 + 0.802389i \(0.703562\pi\)
\(168\) 10.5303 + 19.4873i 0.812432 + 1.50348i
\(169\) 5.67317 4.35317i 0.436397 0.334860i
\(170\) −11.6468 3.89263i −0.893265 0.298551i
\(171\) −7.62862 + 12.6492i −0.583375 + 0.967310i
\(172\) 1.51571 + 0.0850545i 0.115571 + 0.00648534i
\(173\) 5.62202 + 4.93038i 0.427434 + 0.374850i 0.845863 0.533400i \(-0.179086\pi\)
−0.418429 + 0.908250i \(0.637419\pi\)
\(174\) −16.1911 6.18367i −1.22744 0.468783i
\(175\) 3.55230 13.2574i 0.268529 1.00216i
\(176\) 8.36523 13.0434i 0.630553 0.983182i
\(177\) −8.11917 + 4.94199i −0.610274 + 0.371463i
\(178\) 0.660260 + 4.83943i 0.0494886 + 0.362731i
\(179\) 23.7424 + 4.72266i 1.77459 + 0.352988i 0.970422 0.241414i \(-0.0776110\pi\)
0.804168 + 0.594402i \(0.202611\pi\)
\(180\) −1.17846 + 8.32656i −0.0878373 + 0.620625i
\(181\) −6.95642 + 10.4110i −0.517067 + 0.773845i −0.994490 0.104828i \(-0.966571\pi\)
0.477424 + 0.878673i \(0.341571\pi\)
\(182\) −15.4360 0.938944i −1.14419 0.0695992i
\(183\) 7.18966 + 0.777478i 0.531475 + 0.0574728i
\(184\) −17.7636 13.2371i −1.30955 0.975849i
\(185\) −3.65708 + 4.76601i −0.268874 + 0.350404i
\(186\) 0.365221 0.0341840i 0.0267793 0.00250649i
\(187\) −7.71446 + 22.7261i −0.564137 + 1.66189i
\(188\) 13.9649 + 3.60164i 1.01849 + 0.262676i
\(189\) −14.2259 + 18.6975i −1.03479 + 1.36004i
\(190\) −2.57027 9.41527i −0.186467 0.683055i
\(191\) −3.33521 + 5.77676i −0.241328 + 0.417992i −0.961093 0.276226i \(-0.910916\pi\)
0.719765 + 0.694218i \(0.244250\pi\)
\(192\) −13.7110 2.00201i −0.989507 0.144483i
\(193\) −3.43176 5.94398i −0.247023 0.427857i 0.715675 0.698433i \(-0.246119\pi\)
−0.962699 + 0.270576i \(0.912786\pi\)
\(194\) 12.3257 12.4421i 0.884936 0.893288i
\(195\) −4.50274 3.76780i −0.322448 0.269818i
\(196\) −19.1896 18.8325i −1.37069 1.34518i
\(197\) −11.8187 + 2.35088i −0.842044 + 0.167493i −0.597223 0.802075i \(-0.703729\pi\)
−0.244821 + 0.969568i \(0.578729\pi\)
\(198\) 16.2622 + 2.37955i 1.15570 + 0.169107i
\(199\) 7.82868 + 18.9001i 0.554960 + 1.33979i 0.913713 + 0.406360i \(0.133202\pi\)
−0.358753 + 0.933433i \(0.616798\pi\)
\(200\) 5.32217 + 6.73727i 0.376334 + 0.476397i
\(201\) 16.0181 21.9085i 1.12983 1.54531i
\(202\) −3.64730 + 5.51446i −0.256623 + 0.387996i
\(203\) 31.9236 + 2.09238i 2.24060 + 0.146857i
\(204\) 21.3582 2.10033i 1.49537 0.147052i
\(205\) −4.87340 + 5.55705i −0.340373 + 0.388121i
\(206\) 15.1887 11.7684i 1.05825 0.819946i
\(207\) 5.02312 22.9538i 0.349131 1.59540i
\(208\) 6.24075 7.39183i 0.432718 0.512531i
\(209\) −18.4243 + 4.93677i −1.27443 + 0.341484i
\(210\) −2.45433 15.3277i −0.169365 1.05771i
\(211\) −13.6722 + 4.64108i −0.941231 + 0.319505i −0.749546 0.661952i \(-0.769728\pi\)
−0.191685 + 0.981457i \(0.561395\pi\)
\(212\) −7.82020 + 3.94824i −0.537093 + 0.271166i
\(213\) 19.9976 4.46196i 1.37021 0.305729i
\(214\) −11.0132 + 9.75019i −0.752846 + 0.666509i
\(215\) −0.982887 0.407125i −0.0670323 0.0277657i
\(216\) −4.06129 14.1247i −0.276336 0.961061i
\(217\) −0.625556 + 0.259114i −0.0424655 + 0.0175898i
\(218\) −11.3216 5.51726i −0.766798 0.373676i
\(219\) −10.2106 6.48533i −0.689970 0.438238i
\(220\) −8.55262 + 6.69122i −0.576617 + 0.451122i
\(221\) −6.62698 + 13.4382i −0.445779 + 0.903950i
\(222\) 2.43359 10.2129i 0.163332 0.685447i
\(223\) −1.24110 0.716552i −0.0831105 0.0479839i 0.457869 0.889020i \(-0.348613\pi\)
−0.540979 + 0.841036i \(0.681946\pi\)
\(224\) 25.2729 3.93300i 1.68862 0.262784i
\(225\) −4.18294 + 8.08912i −0.278863 + 0.539275i
\(226\) −12.2664 + 21.4784i −0.815951 + 1.42872i
\(227\) −3.60298 + 0.236152i −0.239138 + 0.0156739i −0.184501 0.982832i \(-0.559067\pi\)
−0.0546372 + 0.998506i \(0.517400\pi\)
\(228\) 10.8187 + 13.1867i 0.716483 + 0.873308i
\(229\) 19.5667 17.1595i 1.29300 1.13393i 0.309924 0.950761i \(-0.399696\pi\)
0.983081 0.183173i \(-0.0586369\pi\)
\(230\) 8.68568 + 12.8678i 0.572717 + 0.848477i
\(231\) −29.9781 + 4.65592i −1.97241 + 0.306337i
\(232\) −12.9822 + 15.2310i −0.852320 + 0.999961i
\(233\) −1.29149 0.534954i −0.0846086 0.0350460i 0.339978 0.940433i \(-0.389580\pi\)
−0.424586 + 0.905387i \(0.639580\pi\)
\(234\) 9.87194 + 2.79807i 0.645349 + 0.182916i
\(235\) −8.40347 5.61502i −0.548182 0.366283i
\(236\) 2.24221 + 10.7439i 0.145955 + 0.699368i
\(237\) 1.26029 0.111992i 0.0818644 0.00727468i
\(238\) −36.5276 + 15.3316i −2.36773 + 0.993800i
\(239\) −2.08587 + 7.78456i −0.134923 + 0.503541i 0.865075 + 0.501643i \(0.167271\pi\)
−0.999998 + 0.00189816i \(0.999396\pi\)
\(240\) 8.60583 + 4.49816i 0.555504 + 0.290355i
\(241\) −1.96556 7.33556i −0.126613 0.472525i 0.873279 0.487220i \(-0.161989\pi\)
−0.999892 + 0.0146949i \(0.995322\pi\)
\(242\) 3.47050 + 4.47913i 0.223092 + 0.287929i
\(243\) 11.8729 10.1012i 0.761645 0.647994i
\(244\) 3.62273 7.52352i 0.231922 0.481644i
\(245\) 8.33368 + 16.8990i 0.532419 + 1.07964i
\(246\) 3.80960 12.3428i 0.242891 0.786949i
\(247\) −11.8064 + 1.55435i −0.751226 + 0.0989007i
\(248\) 0.103851 0.410635i 0.00659455 0.0260754i
\(249\) 6.42700 5.17263i 0.407294 0.327802i
\(250\) −5.19055 15.0581i −0.328279 0.952361i
\(251\) 3.89677 0.775115i 0.245962 0.0489248i −0.0705697 0.997507i \(-0.522482\pi\)
0.316531 + 0.948582i \(0.397482\pi\)
\(252\) 14.8524 + 22.7017i 0.935615 + 1.43007i
\(253\) 25.2279 16.8567i 1.58606 1.05977i
\(254\) −5.08450 + 19.3384i −0.319030 + 1.21340i
\(255\) −14.6138 3.55486i −0.915150 0.222614i
\(256\) −7.47385 + 14.1471i −0.467116 + 0.884196i
\(257\) −5.07621 8.79225i −0.316645 0.548445i 0.663141 0.748495i \(-0.269223\pi\)
−0.979786 + 0.200049i \(0.935890\pi\)
\(258\) 1.85855 0.0518233i 0.115708 0.00322638i
\(259\) 1.26748 + 19.3381i 0.0787576 + 1.20161i
\(260\) −5.83910 + 3.44474i −0.362126 + 0.213634i
\(261\) −20.3950 5.88433i −1.26242 0.364231i
\(262\) 4.70558 5.41680i 0.290712 0.334651i
\(263\) 6.30260 + 0.829753i 0.388635 + 0.0511648i 0.322312 0.946633i \(-0.395540\pi\)
0.0663229 + 0.997798i \(0.478873\pi\)
\(264\) 8.86996 16.7775i 0.545908 1.03258i
\(265\) 6.08670 0.801329i 0.373903 0.0492253i
\(266\) −26.2603 17.3687i −1.61012 1.06494i
\(267\) 1.30270 + 5.83841i 0.0797238 + 0.357305i
\(268\) −17.6546 25.8921i −1.07842 1.58161i
\(269\) −18.8028 3.74010i −1.14643 0.228038i −0.414909 0.909863i \(-0.636187\pi\)
−0.731516 + 0.681825i \(0.761187\pi\)
\(270\) −0.583294 + 10.2830i −0.0354982 + 0.625804i
\(271\) −18.5076 + 18.5076i −1.12426 + 1.12426i −0.133166 + 0.991094i \(0.542514\pi\)
−0.991094 + 0.133166i \(0.957486\pi\)
\(272\) 5.96308 24.0532i 0.361565 1.45844i
\(273\) −18.9350 + 0.438991i −1.14600 + 0.0265690i
\(274\) 16.2532 6.82192i 0.981894 0.412127i
\(275\) −11.1352 + 3.77988i −0.671476 + 0.227935i
\(276\) −23.0384 14.3311i −1.38675 0.862628i
\(277\) 4.08741 2.01569i 0.245589 0.121111i −0.315329 0.948982i \(-0.602115\pi\)
0.560918 + 0.827871i \(0.310448\pi\)
\(278\) −3.65608 + 10.9390i −0.219277 + 0.656077i
\(279\) 0.442218 0.0792187i 0.0264749 0.00474270i
\(280\) −17.6274 3.24883i −1.05344 0.194155i
\(281\) 3.18431 24.1872i 0.189960 1.44289i −0.585080 0.810975i \(-0.698937\pi\)
0.775040 0.631912i \(-0.217730\pi\)
\(282\) 17.4130 + 2.96170i 1.03693 + 0.176367i
\(283\) 17.9483 15.7402i 1.06691 0.935659i 0.0688368 0.997628i \(-0.478071\pi\)
0.998078 + 0.0619687i \(0.0197379\pi\)
\(284\) 2.86766 23.4846i 0.170164 1.39355i
\(285\) −4.10356 11.2268i −0.243074 0.665018i
\(286\) 6.67862 + 11.4433i 0.394915 + 0.676654i
\(287\) 23.8438i 1.40745i
\(288\) −16.9389 1.03553i −0.998137 0.0610190i
\(289\) 21.3820i 1.25777i
\(290\) 12.1129 7.06945i 0.711295 0.415133i
\(291\) 13.7652 16.4503i 0.806933 0.964332i
\(292\) −11.0007 + 8.60652i −0.643769 + 0.503659i
\(293\) 9.61162 8.42917i 0.561517 0.492437i −0.330889 0.943670i \(-0.607349\pi\)
0.892407 + 0.451232i \(0.149015\pi\)
\(294\) −25.3533 21.0135i −1.47863 1.22553i
\(295\) 1.00394 7.62568i 0.0584517 0.443984i
\(296\) −10.1738 6.59252i −0.591343 0.383182i
\(297\) 20.0912 + 1.23435i 1.16581 + 0.0716240i
\(298\) −3.46121 1.15682i −0.200502 0.0670128i
\(299\) 16.9890 8.37805i 0.982500 0.484515i
\(300\) 7.18711 + 7.67593i 0.414948 + 0.443170i
\(301\) −3.24984 + 1.10317i −0.187318 + 0.0635858i
\(302\) 4.47846 + 10.6699i 0.257706 + 0.613986i
\(303\) −3.88509 + 7.10453i −0.223192 + 0.408144i
\(304\) 18.5279 6.68011i 1.06265 0.383130i
\(305\) −4.13788 + 4.13788i −0.236934 + 0.236934i
\(306\) 25.8506 4.75628i 1.47778 0.271899i
\(307\) −11.3211 2.25190i −0.646127 0.128523i −0.138860 0.990312i \(-0.544344\pi\)
−0.507266 + 0.861789i \(0.669344\pi\)
\(308\) −6.51113 + 34.4203i −0.371006 + 1.96128i
\(309\) 17.3284 15.9221i 0.985780 0.905777i
\(310\) −0.163750 + 0.247578i −0.00930035 + 0.0140615i
\(311\) −4.07662 + 0.536698i −0.231164 + 0.0304333i −0.245218 0.969468i \(-0.578860\pi\)
0.0140541 + 0.999901i \(0.495526\pi\)
\(312\) 6.85745 9.66201i 0.388227 0.547004i
\(313\) −15.5018 2.04086i −0.876216 0.115356i −0.321017 0.947073i \(-0.604025\pi\)
−0.555199 + 0.831717i \(0.687358\pi\)
\(314\) −6.78064 5.89036i −0.382654 0.332412i
\(315\) −4.56913 18.4544i −0.257441 1.03979i
\(316\) 0.364859 1.41469i 0.0205249 0.0795828i
\(317\) 0.960020 + 14.6471i 0.0539201 + 0.822661i 0.936097 + 0.351743i \(0.114411\pi\)
−0.882177 + 0.470919i \(0.843923\pi\)
\(318\) −9.13864 + 5.62151i −0.512470 + 0.315239i
\(319\) −13.7050 23.7377i −0.767332 1.32906i
\(320\) 8.21852 7.62765i 0.459429 0.426399i
\(321\) −12.4397 + 13.0302i −0.694319 + 0.727277i
\(322\) 48.4361 + 12.7349i 2.69924 + 0.709688i
\(323\) −25.3638 + 16.9476i −1.41128 + 0.942988i
\(324\) −6.40679 16.8212i −0.355933 0.934511i
\(325\) −7.20040 + 1.43225i −0.399406 + 0.0794468i
\(326\) 14.8269 5.11084i 0.821186 0.283063i
\(327\) −14.3838 5.57099i −0.795426 0.308076i
\(328\) −11.9602 8.91246i −0.660389 0.492109i
\(329\) −32.3249 + 4.25565i −1.78213 + 0.234622i
\(330\) −9.75087 + 9.04434i −0.536768 + 0.497874i
\(331\) 4.89364 + 9.92332i 0.268979 + 0.545435i 0.988893 0.148628i \(-0.0474857\pi\)
−0.719915 + 0.694063i \(0.755819\pi\)
\(332\) −3.14672 8.99155i −0.172699 0.493476i
\(333\) 1.92141 12.7141i 0.105293 0.696727i
\(334\) 0.433078 0.335555i 0.0236970 0.0183608i
\(335\) 5.68410 + 21.2133i 0.310556 + 1.15901i
\(336\) 30.4401 7.39489i 1.66064 0.403424i
\(337\) −3.82808 + 14.2866i −0.208529 + 0.778240i 0.779816 + 0.626009i \(0.215313\pi\)
−0.988345 + 0.152231i \(0.951354\pi\)
\(338\) −3.91386 9.32478i −0.212886 0.507201i
\(339\) −12.7650 + 27.4725i −0.693302 + 1.49210i
\(340\) −9.51231 + 14.5298i −0.515877 + 0.787989i
\(341\) 0.482350 + 0.322296i 0.0261207 + 0.0174533i
\(342\) 14.5574 + 14.9826i 0.787175 + 0.810167i
\(343\) 26.9159 + 11.1489i 1.45332 + 0.601986i
\(344\) 0.661388 2.04249i 0.0356596 0.110124i
\(345\) 11.9215 + 14.8125i 0.641832 + 0.797477i
\(346\) 8.76514 5.91641i 0.471217 0.318068i
\(347\) −8.06366 + 7.07164i −0.432880 + 0.379625i −0.847873 0.530199i \(-0.822117\pi\)
0.414993 + 0.909824i \(0.363784\pi\)
\(348\) −14.2800 + 19.9213i −0.765488 + 1.06789i
\(349\) 0.0299433 0.00196259i 0.00160283 0.000105055i −0.0646017 0.997911i \(-0.520578\pi\)
0.0662045 + 0.997806i \(0.478911\pi\)
\(350\) −16.8551 9.62602i −0.900942 0.514532i
\(351\) 12.3353 + 2.40125i 0.658411 + 0.128169i
\(352\) −14.8316 16.1318i −0.790529 0.859830i
\(353\) −24.2568 14.0047i −1.29106 0.745393i −0.312216 0.950011i \(-0.601071\pi\)
−0.978842 + 0.204618i \(0.934405\pi\)
\(354\) 3.83960 + 12.8820i 0.204073 + 0.684670i
\(355\) −7.33320 + 14.8703i −0.389206 + 0.789231i
\(356\) 6.85646 + 0.837229i 0.363392 + 0.0443731i
\(357\) −43.0053 + 22.4617i −2.27608 + 1.18880i
\(358\) 14.9972 30.7749i 0.792628 1.62650i
\(359\) 3.76459 1.55934i 0.198688 0.0822991i −0.281121 0.959672i \(-0.590706\pi\)
0.479808 + 0.877373i \(0.340706\pi\)
\(360\) 10.9647 + 4.60609i 0.577890 + 0.242762i
\(361\) −4.84509 2.00690i −0.255005 0.105626i
\(362\) 11.7379 + 13.2584i 0.616930 + 0.696844i
\(363\) 4.69541 + 5.11014i 0.246445 + 0.268213i
\(364\) −6.83511 + 20.7747i −0.358257 + 1.08889i
\(365\) 9.26882 3.14634i 0.485152 0.164687i
\(366\) 3.64882 9.55392i 0.190727 0.499391i
\(367\) −28.4655 + 7.62732i −1.48589 + 0.398143i −0.908347 0.418218i \(-0.862655\pi\)
−0.577542 + 0.816361i \(0.695988\pi\)
\(368\) −24.4926 + 19.5357i −1.27677 + 1.01837i
\(369\) 3.38205 15.4547i 0.176062 0.804541i
\(370\) 5.20350 + 6.71578i 0.270517 + 0.349137i
\(371\) 13.0582 14.8900i 0.677947 0.773050i
\(372\) 0.0845810 0.511816i 0.00438532 0.0265364i
\(373\) −24.0882 1.57882i −1.24724 0.0817484i −0.572562 0.819861i \(-0.694051\pi\)
−0.674677 + 0.738113i \(0.735717\pi\)
\(374\) 28.3089 + 18.7237i 1.46382 + 0.968180i
\(375\) −7.88083 17.8445i −0.406964 0.921487i
\(376\) 9.94792 17.8050i 0.513025 0.918224i
\(377\) −6.54864 15.8098i −0.337272 0.814247i
\(378\) 20.4573 + 26.1810i 1.05221 + 1.34660i
\(379\) 7.39320 1.47060i 0.379763 0.0755396i −0.00151760 0.999999i \(-0.500483\pi\)
0.381281 + 0.924459i \(0.375483\pi\)
\(380\) −13.8018 + 0.129647i −0.708019 + 0.00665073i
\(381\) −4.21969 + 24.1233i −0.216181 + 1.23588i
\(382\) 6.70168 + 6.63903i 0.342888 + 0.339682i
\(383\) 7.83439 + 13.5696i 0.400319 + 0.693372i 0.993764 0.111502i \(-0.0355661\pi\)
−0.593446 + 0.804874i \(0.702233\pi\)
\(384\) −7.66877 + 18.0330i −0.391345 + 0.920244i
\(385\) 12.2747 21.2604i 0.625575 1.08353i
\(386\) −9.36384 + 2.55623i −0.476607 + 0.130109i
\(387\) 2.26292 0.254076i 0.115030 0.0129154i
\(388\) −12.5850 21.3325i −0.638905 1.08299i
\(389\) −8.19254 + 24.1345i −0.415378 + 1.22367i 0.515040 + 0.857166i \(0.327777\pi\)
−0.930418 + 0.366499i \(0.880556\pi\)
\(390\) −6.77255 + 4.80361i −0.342941 + 0.243240i
\(391\) 29.5395 38.4966i 1.49388 1.94686i
\(392\) −32.6584 + 19.4739i −1.64950 + 0.983583i
\(393\) 5.18667 7.09399i 0.261633 0.357844i
\(394\) −1.03469 + 17.0101i −0.0521271 + 0.856957i
\(395\) −0.568822 + 0.851302i −0.0286205 + 0.0428337i
\(396\) 9.10254 21.3865i 0.457420 1.07471i
\(397\) −4.15862 0.827201i −0.208715 0.0415160i 0.0896253 0.995976i \(-0.471433\pi\)
−0.298340 + 0.954460i \(0.596433\pi\)
\(398\) 28.6655 3.91093i 1.43687 0.196037i
\(399\) −33.8322 18.5010i −1.69373 0.926211i
\(400\) 11.1286 4.85652i 0.556432 0.242826i
\(401\) 7.89460 29.4631i 0.394238 1.47132i −0.428837 0.903382i \(-0.641077\pi\)
0.823075 0.567933i \(-0.192257\pi\)
\(402\) −24.2047 29.7869i −1.20722 1.48563i
\(403\) 0.272298 + 0.238799i 0.0135641 + 0.0118954i
\(404\) 6.23070 + 6.97155i 0.309989 + 0.346848i
\(405\) 0.343947 + 12.6096i 0.0170909 + 0.626577i
\(406\) 14.3417 42.9104i 0.711768 2.12961i
\(407\) 13.1727 10.1078i 0.652948 0.501025i
\(408\) 4.80786 29.9675i 0.238024 1.48361i
\(409\) −22.9248 17.5908i −1.13356 0.869811i −0.140813 0.990036i \(-0.544972\pi\)
−0.992747 + 0.120226i \(0.961638\pi\)
\(410\) 5.84804 + 8.66384i 0.288814 + 0.427877i
\(411\) 19.1356 9.99452i 0.943887 0.492993i
\(412\) −10.6341 25.0060i −0.523904 1.23196i
\(413\) −13.7849 20.6306i −0.678313 1.01517i
\(414\) −29.5883 15.1246i −1.45419 0.743334i
\(415\) 6.67596i 0.327710i
\(416\) −7.86581 11.1938i −0.385653 0.548821i
\(417\) −3.33883 + 13.7257i −0.163503 + 0.672150i
\(418\) 0.126690 + 26.9747i 0.00619661 + 1.31938i
\(419\) 15.9948 32.4343i 0.781398 1.58452i −0.0296652 0.999560i \(-0.509444\pi\)
0.811063 0.584959i \(-0.198889\pi\)
\(420\) −21.8467 2.15506i −1.06601 0.105156i
\(421\) −21.3465 7.24615i −1.04036 0.353156i −0.251586 0.967835i \(-0.580952\pi\)
−0.788777 + 0.614679i \(0.789286\pi\)
\(422\) 1.43115 + 20.3688i 0.0696671 + 0.991537i
\(423\) 21.5555 + 1.82666i 1.04807 + 0.0888150i
\(424\) 2.58794 + 12.1157i 0.125681 + 0.588392i
\(425\) −14.9200 + 11.4485i −0.723724 + 0.555333i
\(426\) 1.08848 28.9558i 0.0527370 1.40291i
\(427\) −1.23466 + 18.8373i −0.0597494 + 0.911600i
\(428\) 9.37521 + 18.5693i 0.453168 + 0.897580i
\(429\) 9.32576 + 13.2800i 0.450252 + 0.641164i
\(430\) −0.910289 + 1.19792i −0.0438980 + 0.0577688i
\(431\) 13.8387 + 13.8387i 0.666585 + 0.666585i 0.956924 0.290339i \(-0.0937680\pi\)
−0.290339 + 0.956924i \(0.593768\pi\)
\(432\) −20.7792 + 0.475432i −0.999738 + 0.0228742i
\(433\) −12.8784 + 12.8784i −0.618895 + 0.618895i −0.945248 0.326353i \(-0.894180\pi\)
0.326353 + 0.945248i \(0.394180\pi\)
\(434\) 0.129444 + 0.948770i 0.00621351 + 0.0455424i
\(435\) 14.0571 9.87150i 0.673988 0.473302i
\(436\) −11.6174 + 13.5009i −0.556375 + 0.646576i
\(437\) 38.4827 + 2.52229i 1.84088 + 0.120657i
\(438\) −12.5420 + 11.6332i −0.599279 + 0.555856i
\(439\) −18.6907 24.3582i −0.892059 1.16255i −0.985962 0.166972i \(-0.946601\pi\)
0.0939030 0.995581i \(-0.470066\pi\)
\(440\) 6.07621 + 14.1039i 0.289672 + 0.672375i
\(441\) −33.0996 23.0423i −1.57617 1.09725i
\(442\) 15.9967 + 13.8964i 0.760885 + 0.660982i
\(443\) 6.62208 19.5080i 0.314624 0.926853i −0.668468 0.743741i \(-0.733050\pi\)
0.983092 0.183112i \(-0.0586172\pi\)
\(444\) −13.0934 7.00112i −0.621385 0.332258i
\(445\) −4.34146 2.14097i −0.205805 0.101492i
\(446\) −1.42636 + 1.43982i −0.0675400 + 0.0681774i
\(447\) −4.34295 1.05644i −0.205414 0.0499679i
\(448\) 3.70902 35.9809i 0.175235 1.69994i
\(449\) 14.6180 0.689864 0.344932 0.938628i \(-0.387902\pi\)
0.344932 + 0.938628i \(0.387902\pi\)
\(450\) 9.55952 + 8.63002i 0.450640 + 0.406823i
\(451\) 16.9858 11.3496i 0.799831 0.534430i
\(452\) 24.9656 + 24.5009i 1.17428 + 1.15243i
\(453\) 6.56121 + 12.5621i 0.308273 + 0.590220i
\(454\) −0.972661 + 5.01282i −0.0456492 + 0.235263i
\(455\) 9.33019 12.1593i 0.437406 0.570039i
\(456\) 21.9262 10.0550i 1.02679 0.470869i
\(457\) 21.2974 + 27.7554i 0.996252 + 1.29834i 0.954182 + 0.299227i \(0.0967287\pi\)
0.0420704 + 0.999115i \(0.486605\pi\)
\(458\) −16.4333 32.9326i −0.767878 1.53884i
\(459\) 31.0606 8.45897i 1.44978 0.394831i
\(460\) 20.7231 7.25232i 0.966219 0.338141i
\(461\) −1.62085 + 1.84823i −0.0754906 + 0.0860806i −0.788352 0.615224i \(-0.789065\pi\)
0.712862 + 0.701305i \(0.247399\pi\)
\(462\) −4.41226 + 42.6762i −0.205277 + 1.98548i
\(463\) 30.0621 + 8.05511i 1.39710 + 0.374353i 0.877304 0.479936i \(-0.159340\pi\)
0.519800 + 0.854288i \(0.326007\pi\)
\(464\) 16.1634 + 23.2332i 0.750365 + 1.07857i
\(465\) −0.174425 + 0.318966i −0.00808877 + 0.0147917i
\(466\) −1.19610 + 1.57404i −0.0554083 + 0.0729160i
\(467\) 0.798122 4.01243i 0.0369327 0.185673i −0.957915 0.287051i \(-0.907325\pi\)
0.994848 + 0.101378i \(0.0323251\pi\)
\(468\) 7.37701 12.4959i 0.341002 0.577625i
\(469\) 58.9071 + 39.3605i 2.72008 + 1.81750i
\(470\) −10.7018 + 9.47448i −0.493635 + 0.437025i
\(471\) −8.88012 6.49258i −0.409174 0.299162i
\(472\) 15.5011 + 0.796836i 0.713494 + 0.0366774i
\(473\) 2.33279 + 1.79002i 0.107262 + 0.0823050i
\(474\) 0.300031 1.76400i 0.0137809 0.0810233i
\(475\) −14.1534 4.80442i −0.649401 0.220442i
\(476\) 7.83395 + 55.4732i 0.359069 + 2.54261i
\(477\) −10.5759 + 7.79900i −0.484237 + 0.357092i
\(478\) 9.89708 + 5.65227i 0.452682 + 0.258529i
\(479\) −6.37515 3.68070i −0.291288 0.168175i 0.347234 0.937778i \(-0.387121\pi\)
−0.638523 + 0.769603i \(0.720454\pi\)
\(480\) 9.24697 10.1529i 0.422065 0.463414i
\(481\) 8.97725 5.18302i 0.409327 0.236325i
\(482\) −10.7399 + 0.0504411i −0.489188 + 0.00229753i
\(483\) 60.4205 + 10.5689i 2.74923 + 0.480900i
\(484\) 7.37424 3.13598i 0.335193 0.142545i
\(485\) 3.38625 + 17.0238i 0.153762 + 0.773012i
\(486\) −9.54620 19.8713i −0.433024 0.901382i
\(487\) 7.47462 3.09609i 0.338707 0.140297i −0.206845 0.978374i \(-0.566320\pi\)
0.545553 + 0.838076i \(0.316320\pi\)
\(488\) −8.98738 7.66042i −0.406839 0.346771i
\(489\) 17.5705 7.75981i 0.794565 0.350911i
\(490\) 26.1101 5.32123i 1.17954 0.240389i
\(491\) −0.352333 + 5.37557i −0.0159006 + 0.242596i 0.982509 + 0.186216i \(0.0596224\pi\)
−0.998409 + 0.0563798i \(0.982044\pi\)
\(492\) −15.5117 9.64905i −0.699320 0.435013i
\(493\) −32.9576 28.9030i −1.48434 1.30173i
\(494\) −2.11974 + 16.7070i −0.0953715 + 0.751682i
\(495\) −10.9717 + 12.0392i −0.493139 + 0.541122i
\(496\) −0.524292 0.289707i −0.0235414 0.0130082i
\(497\) 13.8433 + 51.6639i 0.620957 + 2.31744i
\(498\) −4.76358 10.6505i −0.213461 0.477260i
\(499\) 1.84480 + 5.43460i 0.0825846 + 0.243286i 0.980377 0.197133i \(-0.0631631\pi\)
−0.897792 + 0.440419i \(0.854830\pi\)
\(500\) −22.4620 + 1.68427i −1.00453 + 0.0753229i
\(501\) 0.494089 0.453990i 0.0220743 0.0202828i
\(502\) 0.341152 5.60846i 0.0152264 0.250318i
\(503\) 8.12202 19.6083i 0.362143 0.874291i −0.632843 0.774280i \(-0.718112\pi\)
0.994986 0.100011i \(-0.0318877\pi\)
\(504\) 36.3908 12.1504i 1.62098 0.541224i
\(505\) −2.50753 6.05372i −0.111584 0.269387i
\(506\) −13.9833 40.5666i −0.621635 1.80341i
\(507\) −5.73404 10.9784i −0.254658 0.487569i
\(508\) 24.6213 + 13.9084i 1.09240 + 0.617087i
\(509\) −7.70740 3.80087i −0.341625 0.168471i 0.263381 0.964692i \(-0.415162\pi\)
−0.605005 + 0.796221i \(0.706829\pi\)
\(510\) −10.1173 + 18.7093i −0.448001 + 0.828463i
\(511\) 15.7882 27.3460i 0.698429 1.20971i
\(512\) 16.6618 + 15.3096i 0.736355 + 0.676595i
\(513\) 19.3047 + 16.7906i 0.852324 + 0.741323i
\(514\) −13.8508 + 3.78113i −0.610935 + 0.166779i
\(515\) 1.24546 + 19.0021i 0.0548816 + 0.837332i
\(516\) 0.597465 2.56063i 0.0263019 0.112725i
\(517\) 18.4182 + 21.0019i 0.810031 + 0.923663i
\(518\) 26.9050 + 5.22050i 1.18214 + 0.229376i
\(519\) 10.0898 8.12056i 0.442893 0.356453i
\(520\) 2.61170 + 9.22506i 0.114530 + 0.404546i
\(521\) 0.555320 1.34066i 0.0243290 0.0587354i −0.911248 0.411858i \(-0.864880\pi\)
0.935577 + 0.353122i \(0.114880\pi\)
\(522\) −15.3823 + 25.7789i −0.673267 + 1.12831i
\(523\) −12.6473 + 18.9280i −0.553028 + 0.827665i −0.997683 0.0680374i \(-0.978326\pi\)
0.444655 + 0.895702i \(0.353326\pi\)
\(524\) −5.71656 8.38387i −0.249729 0.366251i
\(525\) −21.5589 10.0173i −0.940906 0.437191i
\(526\) 3.40133 8.32187i 0.148305 0.362851i
\(527\) 0.896152 + 0.240123i 0.0390370 + 0.0104599i
\(528\) −19.7574 18.1650i −0.859829 0.790529i
\(529\) −37.0390 + 9.92457i −1.61039 + 0.431503i
\(530\) 1.09281 8.61312i 0.0474687 0.374130i
\(531\) 6.00865 + 15.3274i 0.260753 + 0.665151i
\(532\) −33.1990 + 29.6710i −1.43936 + 1.28640i
\(533\) 11.4386 5.64091i 0.495463 0.244335i
\(534\) 8.45382 + 0.317788i 0.365833 + 0.0137520i
\(535\) −1.90278 14.4530i −0.0822643 0.624859i
\(536\) −41.7621 + 14.8357i −1.80385 + 0.640806i
\(537\) 15.1433 39.0986i 0.653480 1.68723i
\(538\) −11.8770 + 24.3721i −0.512055 + 1.05076i
\(539\) −10.1599 51.0771i −0.437617 2.20005i
\(540\) 13.8546 + 4.49562i 0.596208 + 0.193461i
\(541\) −22.0082 32.9377i −0.946208 1.41610i −0.909001 0.416793i \(-0.863154\pi\)
−0.0372069 0.999308i \(-0.511846\pi\)
\(542\) 18.6580 + 31.9689i 0.801430 + 1.37318i
\(543\) 15.6866 + 14.9757i 0.673178 + 0.642671i
\(544\) −30.7538 16.8055i −1.31856 0.720531i
\(545\) 10.8097 6.24100i 0.463038 0.267335i
\(546\) −6.20873 + 26.0559i −0.265709 + 1.11509i
\(547\) −2.43168 + 0.159381i −0.103971 + 0.00681463i −0.117300 0.993097i \(-0.537424\pi\)
0.0133288 + 0.999911i \(0.495757\pi\)
\(548\) −3.48578 24.6832i −0.148905 1.05442i
\(549\) 3.47218 12.0346i 0.148189 0.513623i
\(550\) 1.16558 + 16.5892i 0.0497007 + 0.707365i
\(551\) 4.54746 34.5414i 0.193728 1.47151i
\(552\) −27.8857 + 26.3568i −1.18690 + 1.12182i
\(553\) 0.431113 + 3.27463i 0.0183328 + 0.139251i
\(554\) −1.28706 6.31532i −0.0546819 0.268312i
\(555\) 7.04007 + 7.66189i 0.298834 + 0.325229i
\(556\) 13.6468 + 8.93425i 0.578754 + 0.378897i
\(557\) −3.62169 + 18.2075i −0.153456 + 0.771476i 0.825018 + 0.565106i \(0.191165\pi\)
−0.978474 + 0.206369i \(0.933835\pi\)
\(558\) 0.0506742 0.633321i 0.00214521 0.0268106i
\(559\) 1.29807 + 1.29807i 0.0549025 + 0.0549025i
\(560\) −10.7824 + 22.9413i −0.455641 + 0.969445i
\(561\) 36.4717 + 19.9444i 1.53983 + 0.842053i
\(562\) −31.9365 13.0531i −1.34716 0.550613i
\(563\) 9.46658 + 27.8876i 0.398969 + 1.17532i 0.942000 + 0.335612i \(0.108943\pi\)
−0.543032 + 0.839712i \(0.682724\pi\)
\(564\) 10.3126 22.7513i 0.434240 0.958001i
\(565\) −10.8421 21.9855i −0.456129 0.924939i
\(566\) −15.0741 30.2087i −0.633610 1.26977i
\(567\) 27.6550 + 29.8516i 1.16140 + 1.25365i
\(568\) −31.0893 12.3674i −1.30448 0.518923i
\(569\) −19.7045 2.59415i −0.826056 0.108752i −0.294367 0.955692i \(-0.595109\pi\)
−0.531688 + 0.846940i \(0.678442\pi\)
\(570\) −16.8309 + 1.57534i −0.704969 + 0.0659838i
\(571\) 4.45736 + 5.08265i 0.186535 + 0.212702i 0.837547 0.546365i \(-0.183989\pi\)
−0.651012 + 0.759067i \(0.725655\pi\)
\(572\) 18.0529 5.01948i 0.754831 0.209875i
\(573\) 8.86063 + 7.41439i 0.370158 + 0.309741i
\(574\) 32.6118 + 8.57436i 1.36119 + 0.357887i
\(575\) 23.7754 0.991504
\(576\) −7.50766 + 22.7955i −0.312819 + 0.949813i
\(577\) −13.8066 −0.574775 −0.287387 0.957814i \(-0.592787\pi\)
−0.287387 + 0.957814i \(0.592787\pi\)
\(578\) 29.2448 + 7.68910i 1.21642 + 0.319824i
\(579\) −11.1655 + 4.08115i −0.464021 + 0.169607i
\(580\) −5.31323 19.1094i −0.220620 0.793475i
\(581\) 14.1998 + 16.1918i 0.589108 + 0.671749i
\(582\) −17.5495 24.7427i −0.727448 1.02562i
\(583\) −16.8230 2.21479i −0.696737 0.0917272i
\(584\) 7.81547 + 18.1410i 0.323407 + 0.750679i
\(585\) −7.77222 + 6.55787i −0.321342 + 0.271134i
\(586\) −8.07243 16.1773i −0.333469 0.668277i
\(587\) 4.64181 + 9.41267i 0.191588 + 0.388502i 0.971378 0.237539i \(-0.0763408\pi\)
−0.779790 + 0.626041i \(0.784674\pi\)
\(588\) −37.8579 + 27.1199i −1.56123 + 1.11841i
\(589\) 0.237016 + 0.698227i 0.00976607 + 0.0287699i
\(590\) −10.0688 4.11536i −0.414528 0.169427i
\(591\) 0.483757 + 20.8659i 0.0198991 + 0.858310i
\(592\) −12.6754 + 11.5444i −0.520954 + 0.474470i
\(593\) 11.8263 + 11.8263i 0.485649 + 0.485649i 0.906930 0.421281i \(-0.138419\pi\)
−0.421281 + 0.906930i \(0.638419\pi\)
\(594\) 8.91316 27.0355i 0.365712 1.10928i
\(595\) 7.65945 38.5066i 0.314007 1.57862i
\(596\) −2.82689 + 4.31799i −0.115794 + 0.176872i
\(597\) 34.5827 7.71628i 1.41538 0.315806i
\(598\) −5.34956 26.2492i −0.218760 1.07341i
\(599\) 2.15789 + 16.3908i 0.0881692 + 0.669711i 0.977270 + 0.212000i \(0.0679975\pi\)
−0.889101 + 0.457712i \(0.848669\pi\)
\(600\) 13.0831 7.06971i 0.534116 0.288620i
\(601\) −3.27537 + 24.8789i −0.133605 + 1.01483i 0.784956 + 0.619552i \(0.212686\pi\)
−0.918561 + 0.395279i \(0.870648\pi\)
\(602\) 0.340180 + 4.84161i 0.0138647 + 0.197329i
\(603\) −32.5987 33.8677i −1.32752 1.37920i
\(604\) 16.2041 2.28835i 0.659334 0.0931116i
\(605\) −5.60369 + 0.367285i −0.227823 + 0.0149323i
\(606\) 8.31997 + 7.86857i 0.337976 + 0.319639i
\(607\) −22.3011 + 12.8755i −0.905173 + 0.522602i −0.878875 0.477052i \(-0.841705\pi\)
−0.0262980 + 0.999654i \(0.508372\pi\)
\(608\) −2.47382 27.7434i −0.100327 1.12514i
\(609\) 13.0973 53.8419i 0.530728 2.18178i
\(610\) 4.17150 + 7.14751i 0.168899 + 0.289394i
\(611\) 9.68893 + 14.5005i 0.391972 + 0.586628i
\(612\) 2.79072 37.0670i 0.112808 1.49835i
\(613\) −7.92580 39.8457i −0.320120 1.60935i −0.720806 0.693137i \(-0.756228\pi\)
0.400685 0.916216i \(-0.368772\pi\)
\(614\) −7.15110 + 14.6743i −0.288595 + 0.592208i
\(615\) 8.02671 + 9.97319i 0.323668 + 0.402158i
\(616\) 44.7362 + 21.2832i 1.80247 + 0.857525i
\(617\) 0.896334 + 6.80833i 0.0360851 + 0.274093i 0.999970 + 0.00777343i \(0.00247439\pi\)
−0.963885 + 0.266320i \(0.914192\pi\)
\(618\) −15.5457 29.4263i −0.625341 1.18370i
\(619\) −27.1942 + 13.4107i −1.09303 + 0.539021i −0.897203 0.441619i \(-0.854404\pi\)
−0.195823 + 0.980639i \(0.562738\pi\)
\(620\) 0.279734 + 0.312996i 0.0112344 + 0.0125702i
\(621\) −37.6635 15.4206i −1.51138 0.618806i
\(622\) −0.731920 + 5.76872i −0.0293473 + 0.231305i
\(623\) −15.0836 + 4.04164i −0.604311 + 0.161925i
\(624\) −10.7490 12.8537i −0.430306 0.514558i
\(625\) 0.587020 + 0.157292i 0.0234808 + 0.00629166i
\(626\) −8.36589 + 20.4684i −0.334368 + 0.818083i
\(627\) 2.92428 + 32.9079i 0.116784 + 1.31421i
\(628\) −10.4948 + 7.15588i −0.418787 + 0.285551i
\(629\) 14.7526 22.0789i 0.588226 0.880343i
\(630\) −26.8837 0.386975i −1.07107 0.0154175i
\(631\) −9.60750 + 23.1946i −0.382469 + 0.923361i 0.609019 + 0.793156i \(0.291564\pi\)
−0.991487 + 0.130205i \(0.958436\pi\)
\(632\) −1.80371 1.00776i −0.0717479 0.0400866i
\(633\) 3.83801 + 24.7118i 0.152547 + 0.982206i
\(634\) 20.3785 + 3.95412i 0.809332 + 0.157038i
\(635\) −13.0664 14.8994i −0.518524 0.591263i
\(636\) 4.40240 + 14.5207i 0.174567 + 0.575784i
\(637\) −2.12645 32.4433i −0.0842528 1.28545i
\(638\) −37.3952 + 10.2085i −1.48049 + 0.404158i
\(639\) −1.64465 35.4504i −0.0650615 1.40240i
\(640\) −7.47714 13.9837i −0.295560 0.552752i
\(641\) 4.93155 8.54169i 0.194784 0.337377i −0.752045 0.659111i \(-0.770933\pi\)
0.946830 + 0.321735i \(0.104266\pi\)
\(642\) 13.3484 + 21.7000i 0.526821 + 0.856429i
\(643\) −28.6792 14.1430i −1.13100 0.557745i −0.222206 0.975000i \(-0.571326\pi\)
−0.908790 + 0.417254i \(0.862992\pi\)
\(644\) 34.8358 61.6679i 1.37272 2.43005i
\(645\) −0.987949 + 1.55545i −0.0389005 + 0.0612456i
\(646\) 14.0587 + 40.7853i 0.553133 + 1.60468i
\(647\) 15.7055 + 37.9163i 0.617446 + 1.49065i 0.854660 + 0.519188i \(0.173766\pi\)
−0.237214 + 0.971457i \(0.576234\pi\)
\(648\) −25.3108 + 2.71376i −0.994301 + 0.106606i
\(649\) −8.13526 + 19.6402i −0.319337 + 0.770947i
\(650\) −0.630376 + 10.3632i −0.0247254 + 0.406480i
\(651\) 0.255394 + 1.14462i 0.0100097 + 0.0448612i
\(652\) −1.65841 22.1171i −0.0649482 0.866172i
\(653\) −2.13610 6.29274i −0.0835919 0.246254i 0.897095 0.441837i \(-0.145673\pi\)
−0.980687 + 0.195584i \(0.937340\pi\)
\(654\) −12.7921 + 17.6698i −0.500211 + 0.690943i
\(655\) 1.84051 + 6.86889i 0.0719148 + 0.268390i
\(656\) −16.4908 + 13.1533i −0.643857 + 0.513550i
\(657\) −14.1122 + 15.4853i −0.550569 + 0.604139i
\(658\) −5.80363 + 45.7420i −0.226249 + 1.78321i
\(659\) −32.7667 28.7356i −1.27641 1.11938i −0.986749 0.162252i \(-0.948124\pi\)
−0.289661 0.957129i \(-0.593543\pi\)
\(660\) 8.86374 + 16.5889i 0.345021 + 0.645724i
\(661\) −1.15549 + 17.6294i −0.0449435 + 0.685705i 0.914638 + 0.404274i \(0.132476\pi\)
−0.959581 + 0.281431i \(0.909191\pi\)
\(662\) 15.3322 3.12469i 0.595903 0.121445i
\(663\) 20.9497 + 15.3171i 0.813620 + 0.594867i
\(664\) −13.4296 + 1.07044i −0.521169 + 0.0415412i
\(665\) 28.8282 11.9410i 1.11791 0.463054i
\(666\) −16.6985 7.20002i −0.647052 0.278995i
\(667\) 10.8117 + 54.3540i 0.418630 + 2.10460i
\(668\) −0.303212 0.713001i −0.0117316 0.0275868i
\(669\) −1.59294 + 1.90366i −0.0615866 + 0.0735996i
\(670\) 31.0582 0.145868i 1.19988 0.00563538i
\(671\) 14.0070 8.08694i 0.540734 0.312193i
\(672\) 0.832232 44.2931i 0.0321041 1.70864i
\(673\) 35.0637 + 20.2440i 1.35160 + 0.780349i 0.988474 0.151389i \(-0.0483746\pi\)
0.363130 + 0.931738i \(0.381708\pi\)
\(674\) 18.1636 + 10.3733i 0.699635 + 0.399565i
\(675\) 12.5529 + 9.55083i 0.483160 + 0.367612i
\(676\) −14.1612 + 1.99986i −0.544663 + 0.0769176i
\(677\) 1.36311 + 0.462714i 0.0523887 + 0.0177836i 0.347511 0.937676i \(-0.387027\pi\)
−0.295122 + 0.955460i \(0.595360\pi\)
\(678\) 32.9845 + 27.3384i 1.26676 + 1.04992i
\(679\) 44.4228 + 34.0868i 1.70479 + 1.30813i
\(680\) 16.4521 + 18.2353i 0.630911 + 0.699290i
\(681\) −0.672370 + 6.21769i −0.0257653 + 0.238262i
\(682\) 0.614270 0.543825i 0.0235216 0.0208241i
\(683\) −9.30311 6.21614i −0.355974 0.237854i 0.364705 0.931123i \(-0.381170\pi\)
−0.720679 + 0.693269i \(0.756170\pi\)
\(684\) 25.7271 14.5228i 0.983700 0.555292i
\(685\) −3.40814 + 17.1339i −0.130218 + 0.654651i
\(686\) 24.9279 32.8045i 0.951750 1.25248i
\(687\) −23.4372 38.5048i −0.894183 1.46905i
\(688\) −2.55573 1.63909i −0.0974364 0.0624897i
\(689\) −10.2325 2.74179i −0.389827 0.104454i
\(690\) 24.5465 10.9787i 0.934469 0.417954i
\(691\) 10.5438 12.0229i 0.401106 0.457373i −0.515663 0.856791i \(-0.672454\pi\)
0.916769 + 0.399418i \(0.130788\pi\)
\(692\) −4.94006 14.1159i −0.187793 0.536606i
\(693\) −1.00304 + 52.5365i −0.0381025 + 1.99570i
\(694\) 6.77235 + 13.5719i 0.257075 + 0.515182i
\(695\) −6.95865 9.06869i −0.263957 0.343995i
\(696\) 22.1118 + 26.6950i 0.838146 + 1.01187i
\(697\) 19.8888 25.9196i 0.753343 0.981776i
\(698\) 0.00808348 0.0416600i 0.000305964 0.00157686i
\(699\) −1.29815 + 2.04382i −0.0491004 + 0.0773045i
\(700\) −19.2270 + 19.5916i −0.726711 + 0.740493i
\(701\) −11.4618 + 7.65852i −0.432905 + 0.289258i −0.752867 0.658172i \(-0.771330\pi\)
0.319962 + 0.947430i \(0.396330\pi\)
\(702\) 7.72011 16.0079i 0.291377 0.604179i
\(703\) 21.1043 0.795965
\(704\) −27.3975 + 14.4846i −1.03258 + 0.545907i
\(705\) −12.0880 + 12.6618i −0.455260 + 0.476870i
\(706\) −27.8775 + 28.1406i −1.04918 + 1.05908i
\(707\) −18.9580 9.34908i −0.712991 0.351608i
\(708\) 18.9998 0.619102i 0.714057 0.0232673i
\(709\) −2.20388 + 6.49242i −0.0827685 + 0.243828i −0.980434 0.196850i \(-0.936929\pi\)
0.897665 + 0.440678i \(0.145262\pi\)
\(710\) 17.7014 + 15.3773i 0.664323 + 0.577098i
\(711\) 0.185047 2.18365i 0.00693980 0.0818934i
\(712\) 3.61073 9.07672i 0.135318 0.340164i
\(713\) −0.714023 0.930534i −0.0267404 0.0348488i
\(714\) 15.2566 + 66.8969i 0.570963 + 2.50355i
\(715\) −13.1032 0.858830i −0.490033 0.0321184i
\(716\) −36.6986 31.5790i −1.37149 1.18016i
\(717\) 12.6591 + 5.88203i 0.472762 + 0.219668i
\(718\) −0.778993 5.70969i −0.0290718 0.213084i
\(719\) 30.3132 30.3132i 1.13049 1.13049i 0.140395 0.990096i \(-0.455163\pi\)
0.990096 0.140395i \(-0.0448371\pi\)
\(720\) 10.2429 13.3404i 0.381729 0.497166i
\(721\) 43.4383 + 43.4383i 1.61773 + 1.61773i
\(722\) −4.48722 + 5.90508i −0.166997 + 0.219764i
\(723\) −13.1021 + 1.16429i −0.487274 + 0.0433004i
\(724\) 22.3549 11.2865i 0.830812 0.419458i
\(725\) 1.40476 21.4325i 0.0521714 0.795982i
\(726\) 8.67778 4.58442i 0.322063 0.170144i
\(727\) 23.4117 17.9644i 0.868293 0.666264i −0.0753765 0.997155i \(-0.524016\pi\)
0.943669 + 0.330891i \(0.107349\pi\)
\(728\) 25.9562 + 16.8193i 0.962000 + 0.623363i
\(729\) −13.6908 23.2715i −0.507067 0.861907i
\(730\) −0.970221 13.8087i −0.0359095 0.511082i
\(731\) 4.45297 + 1.51158i 0.164699 + 0.0559077i
\(732\) −11.7550 8.42624i −0.434479 0.311443i
\(733\) 3.47794 7.05256i 0.128461 0.260492i −0.823135 0.567846i \(-0.807777\pi\)
0.951595 + 0.307354i \(0.0994435\pi\)
\(734\) 0.195736 + 41.6760i 0.00722475 + 1.53829i
\(735\) 31.3193 9.17509i 1.15523 0.338428i
\(736\) 17.9118 + 40.5244i 0.660238 + 1.49375i
\(737\) 60.6997i 2.23590i
\(738\) −19.9217 10.1833i −0.733328 0.374854i
\(739\) −21.4338 32.0779i −0.788454 1.18000i −0.980093 0.198539i \(-0.936380\pi\)
0.191639 0.981465i \(-0.438620\pi\)
\(740\) 11.0566 4.70194i 0.406448 0.172847i
\(741\) −0.871592 + 20.6074i −0.0320187 + 0.757031i
\(742\) −15.6697 23.2146i −0.575253 0.852234i
\(743\) 33.7222 + 25.8759i 1.23715 + 0.949296i 0.999755 0.0221187i \(-0.00704117\pi\)
0.237391 + 0.971414i \(0.423708\pi\)
\(744\) −0.669610 0.299736i −0.0245491 0.0109888i
\(745\) 2.86943 2.20179i 0.105128 0.0806673i
\(746\) −10.8217 + 32.3784i −0.396209 + 1.18546i
\(747\) −6.90718 12.5091i −0.252720 0.457685i
\(748\) 35.7890 31.9858i 1.30858 1.16952i
\(749\) −35.3567 31.0070i −1.29191 1.13297i
\(750\) −27.2405 + 4.36185i −0.994681 + 0.159272i
\(751\) 9.37729 34.9965i 0.342182 1.27704i −0.553688 0.832725i \(-0.686780\pi\)
0.895870 0.444317i \(-0.146554\pi\)
\(752\) −20.7751 20.0089i −0.757591 0.729648i
\(753\) −0.159501 6.87978i −0.00581255 0.250713i
\(754\) −23.9785 + 3.27147i −0.873245 + 0.119140i
\(755\) −11.2480 2.23738i −0.409358 0.0814264i
\(756\) 43.1650 18.5653i 1.56990 0.675212i
\(757\) −16.4032 + 24.5492i −0.596186 + 0.892255i −0.999742 0.0226997i \(-0.992774\pi\)
0.403557 + 0.914955i \(0.367774\pi\)
\(758\) 0.647256 10.6407i 0.0235094 0.386489i
\(759\) −21.2310 48.0731i −0.770635 1.74494i
\(760\) −4.78589 + 18.9238i −0.173603 + 0.686438i
\(761\) −21.0139 + 27.3858i −0.761753 + 0.992735i 0.238017 + 0.971261i \(0.423503\pi\)
−0.999769 + 0.0214743i \(0.993164\pi\)
\(762\) 31.4768 + 14.4463i 1.14028 + 0.523334i
\(763\) 12.9431 38.1293i 0.468573 1.38037i
\(764\) 11.4904 6.77866i 0.415707 0.245243i
\(765\) −10.4265 + 23.8723i −0.376970 + 0.863105i
\(766\) 21.3768 5.83563i 0.772374 0.210850i
\(767\) −6.63598 + 11.4938i −0.239611 + 0.415019i
\(768\) 21.9066 + 16.9736i 0.790485 + 0.612481i
\(769\) −2.24158 3.88253i −0.0808334 0.140008i 0.822775 0.568368i \(-0.192425\pi\)
−0.903608 + 0.428360i \(0.859092\pi\)
\(770\) −24.6644 24.4338i −0.888843 0.880532i
\(771\) −16.5158 + 6.03677i −0.594802 + 0.217409i
\(772\) 0.128938 + 13.7264i 0.00464060 + 0.494025i
\(773\) 42.7651