Properties

Label 576.2.bm.a.133.90
Level $576$
Weight $2$
Character 576.133
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 133.90
Character \(\chi\) \(=\) 576.133
Dual form 576.2.bm.a.13.90

$q$-expansion

\(f(q)\) \(=\) \(q+(1.39064 - 0.257114i) q^{2} +(-0.356263 - 1.69502i) q^{3} +(1.86778 - 0.715108i) q^{4} +(-0.370793 - 1.09232i) q^{5} +(-0.931246 - 2.26556i) q^{6} +(-0.984973 - 1.28364i) q^{7} +(2.41356 - 1.47469i) q^{8} +(-2.74615 + 1.20774i) q^{9} +O(q^{10})\) \(q+(1.39064 - 0.257114i) q^{2} +(-0.356263 - 1.69502i) q^{3} +(1.86778 - 0.715108i) q^{4} +(-0.370793 - 1.09232i) q^{5} +(-0.931246 - 2.26556i) q^{6} +(-0.984973 - 1.28364i) q^{7} +(2.41356 - 1.47469i) q^{8} +(-2.74615 + 1.20774i) q^{9} +(-0.796493 - 1.42370i) q^{10} +(-2.59194 + 0.169885i) q^{11} +(-1.87754 - 2.91116i) q^{12} +(-2.64596 - 3.01714i) q^{13} +(-1.69979 - 1.53184i) q^{14} +(-1.71940 + 1.01765i) q^{15} +(2.97724 - 2.67134i) q^{16} +(2.53179 - 2.53179i) q^{17} +(-3.50840 + 2.38561i) q^{18} +(1.44572 + 7.26814i) q^{19} +(-1.47369 - 1.77507i) q^{20} +(-1.82488 + 2.12686i) q^{21} +(-3.56079 + 0.902674i) q^{22} +(3.75807 + 2.88367i) q^{23} +(-3.35949 - 3.56564i) q^{24} +(2.91109 - 2.23376i) q^{25} +(-4.45534 - 3.51546i) q^{26} +(3.02549 + 4.22450i) q^{27} +(-2.75766 - 1.69320i) q^{28} +(-1.28515 - 2.60602i) q^{29} +(-2.12942 + 1.85728i) q^{30} +(6.93715 - 4.00517i) q^{31} +(3.45345 - 4.48037i) q^{32} +(1.21137 + 4.33286i) q^{33} +(2.86986 - 4.17178i) q^{34} +(-1.03693 + 1.55187i) q^{35} +(-4.26556 + 4.21960i) q^{36} +(-0.807701 + 4.06058i) q^{37} +(3.87923 + 9.73569i) q^{38} +(-4.17144 + 5.55984i) q^{39} +(-2.50577 - 2.08958i) q^{40} +(-9.32937 - 7.15867i) q^{41} +(-1.99092 + 3.42691i) q^{42} +(0.0376035 + 0.573718i) q^{43} +(-4.71971 + 2.17083i) q^{44} +(2.33750 + 2.55186i) q^{45} +(5.96757 + 3.04391i) q^{46} +(-0.982776 - 3.66777i) q^{47} +(-5.58863 - 4.09477i) q^{48} +(1.13417 - 4.23278i) q^{49} +(3.47396 - 3.85484i) q^{50} +(-5.19340 - 3.38944i) q^{51} +(-7.09967 - 3.74322i) q^{52} +(3.53309 + 5.28764i) q^{53} +(5.29356 + 5.09688i) q^{54} +(1.14664 + 2.76825i) q^{55} +(-4.27027 - 1.64561i) q^{56} +(11.8046 - 5.03989i) q^{57} +(-2.45723 - 3.29362i) q^{58} +(-0.281550 - 0.829419i) q^{59} +(-2.48374 + 3.13032i) q^{60} +(9.53819 - 4.70372i) q^{61} +(8.61733 - 7.35340i) q^{62} +(4.25519 + 2.33549i) q^{63} +(3.65055 - 7.11853i) q^{64} +(-2.31458 + 4.00898i) q^{65} +(2.79862 + 5.71401i) q^{66} +(-1.02844 + 15.6909i) q^{67} +(2.91833 - 6.53934i) q^{68} +(3.54900 - 7.39733i) q^{69} +(-1.04299 + 2.42471i) q^{70} +(0.148076 - 0.357488i) q^{71} +(-4.84696 + 6.96469i) q^{72} +(2.60585 + 6.29108i) q^{73} +(-0.0791920 + 5.85450i) q^{74} +(-4.82336 - 4.13853i) q^{75} +(7.89781 + 12.5415i) q^{76} +(2.77107 + 3.15980i) q^{77} +(-4.37148 + 8.80430i) q^{78} +(9.99540 - 2.67826i) q^{79} +(-4.02190 - 2.26159i) q^{80} +(6.08272 - 6.63329i) q^{81} +(-14.8144 - 7.55646i) q^{82} +(-4.00348 - 1.35900i) q^{83} +(-1.88756 + 5.27750i) q^{84} +(-3.70430 - 1.82676i) q^{85} +(0.199804 + 0.788170i) q^{86} +(-3.95940 + 3.10677i) q^{87} +(-6.00529 + 4.23235i) q^{88} +(8.82819 + 3.65676i) q^{89} +(3.90675 + 2.94773i) q^{90} +(-1.26673 + 6.36827i) q^{91} +(9.08140 + 2.69865i) q^{92} +(-9.26026 - 10.3317i) q^{93} +(-2.30973 - 4.84788i) q^{94} +(7.40309 - 4.27417i) q^{95} +(-8.82463 - 4.25746i) q^{96} +(0.765568 + 0.442001i) q^{97} +(0.488921 - 6.17790i) q^{98} +(6.91270 - 3.59693i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.39064 0.257114i 0.983334 0.181807i
\(3\) −0.356263 1.69502i −0.205688 0.978618i
\(4\) 1.86778 0.715108i 0.933892 0.357554i
\(5\) −0.370793 1.09232i −0.165824 0.488501i 0.831975 0.554813i \(-0.187210\pi\)
−0.997799 + 0.0663117i \(0.978877\pi\)
\(6\) −0.931246 2.26556i −0.380180 0.924913i
\(7\) −0.984973 1.28364i −0.372285 0.485171i 0.569213 0.822190i \(-0.307248\pi\)
−0.941498 + 0.337019i \(0.890581\pi\)
\(8\) 2.41356 1.47469i 0.853323 0.521383i
\(9\) −2.74615 + 1.20774i −0.915385 + 0.402580i
\(10\) −0.796493 1.42370i −0.251873 0.450212i
\(11\) −2.59194 + 0.169885i −0.781501 + 0.0512223i −0.450930 0.892559i \(-0.648908\pi\)
−0.330570 + 0.943781i \(0.607241\pi\)
\(12\) −1.87754 2.91116i −0.541999 0.840379i
\(13\) −2.64596 3.01714i −0.733858 0.836804i 0.257733 0.966216i \(-0.417024\pi\)
−0.991591 + 0.129412i \(0.958691\pi\)
\(14\) −1.69979 1.53184i −0.454288 0.409401i
\(15\) −1.71940 + 1.01765i −0.443948 + 0.262757i
\(16\) 2.97724 2.67134i 0.744310 0.667834i
\(17\) 2.53179 2.53179i 0.614049 0.614049i −0.329950 0.943999i \(-0.607032\pi\)
0.943999 + 0.329950i \(0.107032\pi\)
\(18\) −3.50840 + 2.38561i −0.826937 + 0.562294i
\(19\) 1.44572 + 7.26814i 0.331672 + 1.66743i 0.682423 + 0.730958i \(0.260926\pi\)
−0.350751 + 0.936469i \(0.614074\pi\)
\(20\) −1.47369 1.77507i −0.329527 0.396917i
\(21\) −1.82488 + 2.12686i −0.398222 + 0.464118i
\(22\) −3.56079 + 0.902674i −0.759164 + 0.192451i
\(23\) 3.75807 + 2.88367i 0.783612 + 0.601286i 0.921149 0.389210i \(-0.127252\pi\)
−0.137537 + 0.990497i \(0.543919\pi\)
\(24\) −3.35949 3.56564i −0.685753 0.727834i
\(25\) 2.91109 2.23376i 0.582217 0.446751i
\(26\) −4.45534 3.51546i −0.873764 0.689438i
\(27\) 3.02549 + 4.22450i 0.582256 + 0.813005i
\(28\) −2.75766 1.69320i −0.521149 0.319986i
\(29\) −1.28515 2.60602i −0.238646 0.483926i 0.744294 0.667852i \(-0.232786\pi\)
−0.982940 + 0.183926i \(0.941119\pi\)
\(30\) −2.12942 + 1.85728i −0.388778 + 0.339091i
\(31\) 6.93715 4.00517i 1.24595 0.719349i 0.275650 0.961258i \(-0.411107\pi\)
0.970299 + 0.241909i \(0.0777736\pi\)
\(32\) 3.45345 4.48037i 0.610489 0.792025i
\(33\) 1.21137 + 4.33286i 0.210873 + 0.754255i
\(34\) 2.86986 4.17178i 0.492177 0.715454i
\(35\) −1.03693 + 1.55187i −0.175273 + 0.262314i
\(36\) −4.26556 + 4.21960i −0.710927 + 0.703266i
\(37\) −0.807701 + 4.06058i −0.132785 + 0.667556i 0.855850 + 0.517224i \(0.173034\pi\)
−0.988635 + 0.150332i \(0.951966\pi\)
\(38\) 3.87923 + 9.73569i 0.629294 + 1.57934i
\(39\) −4.17144 + 5.55984i −0.667966 + 0.890287i
\(40\) −2.50577 2.08958i −0.396197 0.330391i
\(41\) −9.32937 7.15867i −1.45700 1.11800i −0.969564 0.244840i \(-0.921265\pi\)
−0.487438 0.873157i \(-0.662069\pi\)
\(42\) −1.99092 + 3.42691i −0.307206 + 0.528783i
\(43\) 0.0376035 + 0.573718i 0.00573448 + 0.0874912i 0.999767 0.0215947i \(-0.00687433\pi\)
−0.994032 + 0.109086i \(0.965208\pi\)
\(44\) −4.71971 + 2.17083i −0.711523 + 0.327265i
\(45\) 2.33750 + 2.55186i 0.348454 + 0.380409i
\(46\) 5.96757 + 3.04391i 0.879870 + 0.448799i
\(47\) −0.982776 3.66777i −0.143353 0.534999i −0.999823 0.0188035i \(-0.994014\pi\)
0.856471 0.516196i \(-0.172652\pi\)
\(48\) −5.58863 4.09477i −0.806650 0.591030i
\(49\) 1.13417 4.23278i 0.162024 0.604682i
\(50\) 3.47396 3.85484i 0.491292 0.545157i
\(51\) −5.19340 3.38944i −0.727222 0.474616i
\(52\) −7.09967 3.74322i −0.984547 0.519092i
\(53\) 3.53309 + 5.28764i 0.485307 + 0.726313i 0.990623 0.136621i \(-0.0436242\pi\)
−0.505316 + 0.862934i \(0.668624\pi\)
\(54\) 5.29356 + 5.09688i 0.720362 + 0.693598i
\(55\) 1.14664 + 2.76825i 0.154614 + 0.373270i
\(56\) −4.27027 1.64561i −0.570639 0.219904i
\(57\) 11.8046 5.03989i 1.56355 0.667550i
\(58\) −2.45723 3.29362i −0.322650 0.432474i
\(59\) −0.281550 0.829419i −0.0366547 0.107981i 0.927062 0.374907i \(-0.122325\pi\)
−0.963717 + 0.266926i \(0.913992\pi\)
\(60\) −2.48374 + 3.13032i −0.320650 + 0.404122i
\(61\) 9.53819 4.70372i 1.22124 0.602249i 0.286671 0.958029i \(-0.407451\pi\)
0.934570 + 0.355780i \(0.115785\pi\)
\(62\) 8.61733 7.35340i 1.09440 0.933883i
\(63\) 4.25519 + 2.33549i 0.536104 + 0.294243i
\(64\) 3.65055 7.11853i 0.456319 0.889816i
\(65\) −2.31458 + 4.00898i −0.287089 + 0.497252i
\(66\) 2.79862 + 5.71401i 0.344487 + 0.703346i
\(67\) −1.02844 + 15.6909i −0.125644 + 1.91695i 0.214748 + 0.976670i \(0.431107\pi\)
−0.340391 + 0.940284i \(0.610560\pi\)
\(68\) 2.91833 6.53934i 0.353900 0.793011i
\(69\) 3.54900 7.39733i 0.427250 0.890534i
\(70\) −1.04299 + 2.42471i −0.124661 + 0.289809i
\(71\) 0.148076 0.357488i 0.0175734 0.0424260i −0.914849 0.403796i \(-0.867691\pi\)
0.932423 + 0.361370i \(0.117691\pi\)
\(72\) −4.84696 + 6.96469i −0.571220 + 0.820797i
\(73\) 2.60585 + 6.29108i 0.304992 + 0.736316i 0.999853 + 0.0171713i \(0.00546606\pi\)
−0.694861 + 0.719144i \(0.744534\pi\)
\(74\) −0.0791920 + 5.85450i −0.00920588 + 0.680572i
\(75\) −4.82336 4.13853i −0.556954 0.477877i
\(76\) 7.89781 + 12.5415i 0.905941 + 1.43861i
\(77\) 2.77107 + 3.15980i 0.315792 + 0.360092i
\(78\) −4.37148 + 8.80430i −0.494973 + 0.996890i
\(79\) 9.99540 2.67826i 1.12457 0.301328i 0.351839 0.936061i \(-0.385556\pi\)
0.772732 + 0.634733i \(0.218890\pi\)
\(80\) −4.02190 2.26159i −0.449662 0.252854i
\(81\) 6.08272 6.63329i 0.675858 0.737032i
\(82\) −14.8144 7.55646i −1.63598 0.834472i
\(83\) −4.00348 1.35900i −0.439439 0.149169i 0.0929474 0.995671i \(-0.470371\pi\)
−0.532386 + 0.846502i \(0.678704\pi\)
\(84\) −1.88756 + 5.27750i −0.205949 + 0.575823i
\(85\) −3.70430 1.82676i −0.401788 0.198140i
\(86\) 0.199804 + 0.788170i 0.0215454 + 0.0849905i
\(87\) −3.95940 + 3.10677i −0.424492 + 0.333081i
\(88\) −6.00529 + 4.23235i −0.640166 + 0.451170i
\(89\) 8.82819 + 3.65676i 0.935787 + 0.387616i 0.797871 0.602828i \(-0.205960\pi\)
0.137916 + 0.990444i \(0.455960\pi\)
\(90\) 3.90675 + 2.94773i 0.411807 + 0.310718i
\(91\) −1.26673 + 6.36827i −0.132789 + 0.667576i
\(92\) 9.08140 + 2.69865i 0.946801 + 0.281353i
\(93\) −9.26026 10.3317i −0.960245 1.07135i
\(94\) −2.30973 4.84788i −0.238230 0.500021i
\(95\) 7.40309 4.27417i 0.759541 0.438521i
\(96\) −8.82463 4.25746i −0.900660 0.434525i
\(97\) 0.765568 + 0.442001i 0.0777317 + 0.0448784i 0.538362 0.842714i \(-0.319043\pi\)
−0.460630 + 0.887592i \(0.652377\pi\)
\(98\) 0.488921 6.17790i 0.0493885 0.624062i
\(99\) 6.91270 3.59693i 0.694753 0.361505i
\(100\) 3.83991 6.25392i 0.383991 0.625392i
\(101\) 4.87131 + 4.27203i 0.484714 + 0.425083i 0.866507 0.499165i \(-0.166360\pi\)
−0.381793 + 0.924248i \(0.624693\pi\)
\(102\) −8.09365 3.37821i −0.801391 0.334493i
\(103\) 1.45540 + 11.0549i 0.143405 + 1.08927i 0.900156 + 0.435567i \(0.143452\pi\)
−0.756751 + 0.653703i \(0.773215\pi\)
\(104\) −10.8356 3.38007i −1.06251 0.331443i
\(105\) 2.99987 + 1.20474i 0.292757 + 0.117570i
\(106\) 6.27280 + 6.44482i 0.609268 + 0.625977i
\(107\) −11.4271 + 7.63536i −1.10470 + 0.738139i −0.967618 0.252421i \(-0.918773\pi\)
−0.137085 + 0.990559i \(0.543773\pi\)
\(108\) 8.67194 + 5.72691i 0.834458 + 0.551072i
\(109\) −1.71187 8.60613i −0.163967 0.824318i −0.971964 0.235131i \(-0.924448\pi\)
0.807997 0.589187i \(-0.200552\pi\)
\(110\) 2.30633 + 3.55483i 0.219900 + 0.338940i
\(111\) 7.17051 0.0775696i 0.680594 0.00736258i
\(112\) −6.36154 1.19052i −0.601109 0.112493i
\(113\) −3.51586 + 13.1214i −0.330744 + 1.23435i 0.577666 + 0.816274i \(0.303964\pi\)
−0.908410 + 0.418081i \(0.862703\pi\)
\(114\) 15.1201 10.0438i 1.41613 0.940689i
\(115\) 1.75643 5.17427i 0.163788 0.482503i
\(116\) −4.26397 3.94847i −0.395899 0.366606i
\(117\) 10.9101 + 5.08990i 1.00864 + 0.470561i
\(118\) −0.604791 1.08104i −0.0556755 0.0995175i
\(119\) −5.74365 0.756166i −0.526520 0.0693176i
\(120\) −2.64915 + 4.99176i −0.241834 + 0.455683i
\(121\) −4.21658 + 0.555123i −0.383325 + 0.0504657i
\(122\) 12.0548 8.99360i 1.09139 0.814242i
\(123\) −8.81036 + 18.3638i −0.794403 + 1.65581i
\(124\) 10.0930 12.4416i 0.906376 1.11729i
\(125\) −8.31506 5.55595i −0.743722 0.496939i
\(126\) 6.51795 + 2.15376i 0.580665 + 0.191872i
\(127\) 11.5757 1.02718 0.513588 0.858037i \(-0.328316\pi\)
0.513588 + 0.858037i \(0.328316\pi\)
\(128\) 3.24635 10.8380i 0.286940 0.957949i
\(129\) 0.959064 0.268133i 0.0844409 0.0236078i
\(130\) −2.18800 + 6.17017i −0.191900 + 0.541160i
\(131\) 0.794707 12.1249i 0.0694339 1.05936i −0.810956 0.585106i \(-0.801053\pi\)
0.880390 0.474250i \(-0.157281\pi\)
\(132\) 5.36104 + 7.22659i 0.466619 + 0.628994i
\(133\) 7.90569 9.01471i 0.685510 0.781675i
\(134\) 2.60416 + 22.0849i 0.224966 + 1.90785i
\(135\) 3.49268 4.87123i 0.300602 0.419248i
\(136\) 2.37701 9.84424i 0.203827 0.844137i
\(137\) −4.51818 0.594830i −0.386015 0.0508198i −0.0649783 0.997887i \(-0.520698\pi\)
−0.321036 + 0.947067i \(0.604031\pi\)
\(138\) 3.03345 11.1996i 0.258224 0.953369i
\(139\) −3.10089 + 6.28798i −0.263014 + 0.533340i −0.987818 0.155616i \(-0.950264\pi\)
0.724804 + 0.688956i \(0.241930\pi\)
\(140\) −0.827003 + 3.64008i −0.0698945 + 0.307643i
\(141\) −5.86680 + 2.97251i −0.494074 + 0.250331i
\(142\) 0.114006 0.535211i 0.00956721 0.0449139i
\(143\) 7.37075 + 7.37075i 0.616373 + 0.616373i
\(144\) −4.94968 + 10.9316i −0.412473 + 0.910970i
\(145\) −2.37009 + 2.37009i −0.196825 + 0.196825i
\(146\) 5.24134 + 8.07866i 0.433776 + 0.668595i
\(147\) −7.57868 0.414454i −0.625079 0.0341836i
\(148\) 1.39515 + 8.16189i 0.114680 + 0.670903i
\(149\) −4.71070 2.32306i −0.385915 0.190312i 0.238974 0.971026i \(-0.423189\pi\)
−0.624889 + 0.780714i \(0.714856\pi\)
\(150\) −7.77166 4.51508i −0.634553 0.368655i
\(151\) −1.68105 + 12.7689i −0.136802 + 1.03912i 0.776006 + 0.630726i \(0.217243\pi\)
−0.912808 + 0.408389i \(0.866091\pi\)
\(152\) 14.2076 + 15.4101i 1.15239 + 1.24992i
\(153\) −3.89494 + 10.0104i −0.314887 + 0.809295i
\(154\) 4.66600 + 3.68167i 0.375997 + 0.296678i
\(155\) −6.94718 6.09251i −0.558011 0.489362i
\(156\) −3.81547 + 13.3676i −0.305482 + 1.07027i
\(157\) 21.7458 + 1.42530i 1.73551 + 0.113751i 0.900045 0.435798i \(-0.143534\pi\)
0.835461 + 0.549549i \(0.185200\pi\)
\(158\) 13.2114 6.29446i 1.05105 0.500761i
\(159\) 7.70393 7.87243i 0.610961 0.624324i
\(160\) −6.17452 2.11099i −0.488139 0.166888i
\(161\) 7.66435i 0.604035i
\(162\) 6.75340 10.7885i 0.530597 0.847624i
\(163\) −5.90623 + 8.83929i −0.462611 + 0.692347i −0.987286 0.158956i \(-0.949187\pi\)
0.524674 + 0.851303i \(0.324187\pi\)
\(164\) −22.5445 6.69936i −1.76043 0.523132i
\(165\) 4.28371 2.92980i 0.333487 0.228085i
\(166\) −5.91683 0.860533i −0.459235 0.0667903i
\(167\) −2.14322 16.2794i −0.165848 1.25974i −0.848579 0.529068i \(-0.822542\pi\)
0.682732 0.730669i \(-0.260792\pi\)
\(168\) −1.26800 + 7.82445i −0.0978285 + 0.603669i
\(169\) −0.405187 + 3.07770i −0.0311682 + 0.236746i
\(170\) −5.62105 1.58794i −0.431115 0.121790i
\(171\) −12.7482 18.2134i −0.974880 1.39281i
\(172\) 0.480506 + 1.04469i 0.0366382 + 0.0796570i
\(173\) −15.9844 5.42597i −1.21527 0.412529i −0.361103 0.932526i \(-0.617600\pi\)
−0.854168 + 0.519997i \(0.825933\pi\)
\(174\) −4.70732 + 5.33843i −0.356861 + 0.404706i
\(175\) −5.73468 1.53660i −0.433501 0.116156i
\(176\) −7.26303 + 7.42974i −0.547471 + 0.560038i
\(177\) −1.30557 + 0.772722i −0.0981328 + 0.0580814i
\(178\) 13.2171 + 2.81540i 0.990662 + 0.211023i
\(179\) 5.99579 1.19264i 0.448146 0.0891418i 0.0341425 0.999417i \(-0.489130\pi\)
0.414004 + 0.910275i \(0.364130\pi\)
\(180\) 6.19080 + 3.09477i 0.461435 + 0.230670i
\(181\) 3.84465 + 5.75393i 0.285771 + 0.427686i 0.946386 0.323039i \(-0.104704\pi\)
−0.660615 + 0.750725i \(0.729704\pi\)
\(182\) −0.124198 + 9.18169i −0.00920616 + 0.680592i
\(183\) −11.3710 14.4916i −0.840566 1.07125i
\(184\) 13.3229 + 1.41791i 0.982174 + 0.104529i
\(185\) 4.73496 0.623369i 0.348121 0.0458310i
\(186\) −15.5342 11.9868i −1.13902 0.878912i
\(187\) −6.13214 + 6.99237i −0.448427 + 0.511333i
\(188\) −4.45847 6.14782i −0.325167 0.448376i
\(189\) 2.44272 8.04466i 0.177682 0.585163i
\(190\) 9.19611 7.84729i 0.667156 0.569302i
\(191\) −3.84120 + 6.65316i −0.277940 + 0.481406i −0.970873 0.239596i \(-0.922985\pi\)
0.692933 + 0.721002i \(0.256318\pi\)
\(192\) −13.3666 3.65168i −0.964649 0.263537i
\(193\) 2.20265 + 3.81510i 0.158550 + 0.274617i 0.934346 0.356367i \(-0.115985\pi\)
−0.775796 + 0.630984i \(0.782651\pi\)
\(194\) 1.17828 + 0.417828i 0.0845954 + 0.0299983i
\(195\) 7.61988 + 2.49501i 0.545671 + 0.178671i
\(196\) −0.908508 8.71697i −0.0648934 0.622641i
\(197\) −23.4890 4.67225i −1.67352 0.332884i −0.734991 0.678077i \(-0.762813\pi\)
−0.938532 + 0.345193i \(0.887813\pi\)
\(198\) 8.68829 6.77940i 0.617450 0.481791i
\(199\) −6.54813 + 15.8086i −0.464185 + 1.12064i 0.502479 + 0.864590i \(0.332422\pi\)
−0.966663 + 0.256051i \(0.917578\pi\)
\(200\) 3.73198 9.68427i 0.263891 0.684781i
\(201\) 26.9628 3.84688i 1.90181 0.271338i
\(202\) 7.87266 + 4.68839i 0.553919 + 0.329874i
\(203\) −2.07936 + 4.21653i −0.145943 + 0.295942i
\(204\) −12.1240 2.61690i −0.848848 0.183220i
\(205\) −4.36031 + 12.8451i −0.304537 + 0.897138i
\(206\) 4.86631 + 14.9992i 0.339052 + 1.04504i
\(207\) −13.8030 3.38022i −0.959372 0.234942i
\(208\) −15.9375 1.91451i −1.10506 0.132747i
\(209\) −4.98198 18.5930i −0.344611 1.28611i
\(210\) 4.48150 + 0.904051i 0.309253 + 0.0623855i
\(211\) −12.5282 + 10.9869i −0.862476 + 0.756372i −0.971342 0.237685i \(-0.923611\pi\)
0.108866 + 0.994056i \(0.465278\pi\)
\(212\) 10.3803 + 7.34964i 0.712921 + 0.504775i
\(213\) −0.658701 0.123632i −0.0451335 0.00847113i
\(214\) −13.9279 + 13.5562i −0.952093 + 0.926680i
\(215\) 0.612742 0.253806i 0.0417886 0.0173094i
\(216\) 13.5321 + 5.73441i 0.920740 + 0.390177i
\(217\) −11.9741 4.95984i −0.812855 0.336696i
\(218\) −4.59335 11.5279i −0.311101 0.780770i
\(219\) 9.73512 6.65824i 0.657838 0.449922i
\(220\) 4.12128 + 4.35051i 0.277857 + 0.293312i
\(221\) −14.3378 0.939748i −0.964463 0.0632143i
\(222\) 9.95168 1.95151i 0.667913 0.130977i
\(223\) −6.48766 3.74565i −0.434446 0.250827i 0.266793 0.963754i \(-0.414036\pi\)
−0.701239 + 0.712926i \(0.747369\pi\)
\(224\) −9.15274 0.0199481i −0.611543 0.00133284i
\(225\) −5.29650 + 9.65008i −0.353100 + 0.643339i
\(226\) −1.51563 + 19.1511i −0.100818 + 1.27391i
\(227\) −0.529366 1.07345i −0.0351353 0.0712473i 0.878597 0.477563i \(-0.158480\pi\)
−0.913733 + 0.406316i \(0.866813\pi\)
\(228\) 18.4443 17.8550i 1.22150 1.18247i
\(229\) 7.25177 2.46164i 0.479210 0.162670i −0.0713738 0.997450i \(-0.522738\pi\)
0.550584 + 0.834780i \(0.314405\pi\)
\(230\) 1.11219 7.64717i 0.0733356 0.504239i
\(231\) 4.36868 5.82272i 0.287438 0.383107i
\(232\) −6.94487 4.39459i −0.455953 0.288519i
\(233\) 5.00115 2.07154i 0.327636 0.135711i −0.212802 0.977095i \(-0.568259\pi\)
0.540437 + 0.841384i \(0.318259\pi\)
\(234\) 16.4808 + 4.27309i 1.07738 + 0.279341i
\(235\) −3.64198 + 2.43349i −0.237577 + 0.158744i
\(236\) −1.11900 1.34784i −0.0728406 0.0877368i
\(237\) −8.10068 15.9882i −0.526196 1.03855i
\(238\) −8.18180 + 0.425214i −0.530347 + 0.0275625i
\(239\) −2.23670 0.599323i −0.144680 0.0387670i 0.185752 0.982597i \(-0.440528\pi\)
−0.330432 + 0.943830i \(0.607195\pi\)
\(240\) −2.40058 + 7.62290i −0.154957 + 0.492056i
\(241\) 8.08412 2.16613i 0.520744 0.139533i 0.0111333 0.999938i \(-0.496456\pi\)
0.509611 + 0.860405i \(0.329789\pi\)
\(242\) −5.72103 + 1.85612i −0.367762 + 0.119316i
\(243\) −13.4106 7.94712i −0.860288 0.509808i
\(244\) 14.4516 15.6064i 0.925171 0.999095i
\(245\) −5.04410 + 0.330608i −0.322255 + 0.0211217i
\(246\) −7.53049 + 27.8028i −0.480127 + 1.77264i
\(247\) 18.1037 23.5932i 1.15191 1.50120i
\(248\) 10.8368 19.8969i 0.688140 1.26345i
\(249\) −0.877232 + 7.27011i −0.0555923 + 0.460725i
\(250\) −12.9918 5.58843i −0.821674 0.353443i
\(251\) −17.2370 3.42865i −1.08799 0.216415i −0.381664 0.924301i \(-0.624649\pi\)
−0.706326 + 0.707887i \(0.749649\pi\)
\(252\) 9.61791 + 1.31926i 0.605871 + 0.0831057i
\(253\) −10.2306 6.83587i −0.643192 0.429767i
\(254\) 16.0977 2.97627i 1.01006 0.186748i
\(255\) −1.77668 + 6.92965i −0.111260 + 0.433951i
\(256\) 1.72793 15.9064i 0.107996 0.994151i
\(257\) 15.8511 + 27.4549i 0.988766 + 1.71259i 0.623830 + 0.781560i \(0.285576\pi\)
0.364936 + 0.931033i \(0.381091\pi\)
\(258\) 1.26478 0.619466i 0.0787416 0.0385663i
\(259\) 6.00790 2.96277i 0.373313 0.184097i
\(260\) −1.45629 + 9.14309i −0.0903155 + 0.567030i
\(261\) 6.67662 + 5.60441i 0.413272 + 0.346904i
\(262\) −2.01232 17.0657i −0.124322 1.05432i
\(263\) 1.91408 + 2.49447i 0.118027 + 0.153816i 0.848630 0.528986i \(-0.177428\pi\)
−0.730603 + 0.682802i \(0.760761\pi\)
\(264\) 9.31336 + 8.67123i 0.573198 + 0.533677i
\(265\) 4.46576 5.81989i 0.274330 0.357513i
\(266\) 8.67620 14.5689i 0.531972 0.893278i
\(267\) 3.05311 16.2667i 0.186847 0.995505i
\(268\) 9.29981 + 30.0427i 0.568076 + 1.83515i
\(269\) 17.7477 3.53024i 1.08210 0.215243i 0.378329 0.925671i \(-0.376499\pi\)
0.703769 + 0.710428i \(0.251499\pi\)
\(270\) 3.60462 7.67216i 0.219370 0.466913i
\(271\) −15.4462 15.4462i −0.938291 0.938291i 0.0599130 0.998204i \(-0.480918\pi\)
−0.998204 + 0.0599130i \(0.980918\pi\)
\(272\) 0.774489 14.3010i 0.0469603 0.867126i
\(273\) 11.2456 0.121653i 0.680615 0.00736280i
\(274\) −6.43613 + 0.334490i −0.388821 + 0.0202073i
\(275\) −7.16590 + 6.28432i −0.432120 + 0.378959i
\(276\) 1.33888 16.3545i 0.0805914 0.984427i
\(277\) 0.896771 + 13.6821i 0.0538818 + 0.822077i 0.936210 + 0.351442i \(0.114308\pi\)
−0.882328 + 0.470635i \(0.844025\pi\)
\(278\) −2.69551 + 9.54163i −0.161666 + 0.572269i
\(279\) −14.2133 + 19.3771i −0.850927 + 1.16008i
\(280\) −0.214152 + 5.27469i −0.0127980 + 0.315223i
\(281\) −24.1615 + 18.5397i −1.44135 + 1.10599i −0.466142 + 0.884710i \(0.654356\pi\)
−0.975211 + 0.221279i \(0.928977\pi\)
\(282\) −7.39436 + 5.64214i −0.440328 + 0.335985i
\(283\) 9.36236 3.17809i 0.556535 0.188918i −0.0289798 0.999580i \(-0.509226\pi\)
0.585515 + 0.810662i \(0.300893\pi\)
\(284\) 0.0209323 0.773601i 0.00124211 0.0459048i
\(285\) −9.88223 11.0256i −0.585373 0.653101i
\(286\) 12.1452 + 8.35498i 0.718162 + 0.494040i
\(287\) 19.0267i 1.12311i
\(288\) −4.07257 + 16.4747i −0.239979 + 0.970778i
\(289\) 4.18009i 0.245888i
\(290\) −2.68657 + 3.90534i −0.157761 + 0.229329i
\(291\) 0.476455 1.45512i 0.0279303 0.0853005i
\(292\) 9.36598 + 9.88693i 0.548102 + 0.578589i
\(293\) −1.20068 + 0.407576i −0.0701444 + 0.0238108i −0.356291 0.934375i \(-0.615959\pi\)
0.286147 + 0.958186i \(0.407626\pi\)
\(294\) −10.6458 + 1.37223i −0.620877 + 0.0800298i
\(295\) −0.801596 + 0.615086i −0.0466707 + 0.0358117i
\(296\) 4.03869 + 10.9916i 0.234744 + 0.638873i
\(297\) −8.55959 10.4357i −0.496678 0.605540i
\(298\) −7.14819 2.01936i −0.414084 0.116979i
\(299\) −1.24327 18.9687i −0.0719004 1.09699i
\(300\) −11.9685 4.28067i −0.691002 0.247144i
\(301\) 0.699410 0.613366i 0.0403133 0.0353538i
\(302\) 0.945304 + 18.1892i 0.0543961 + 1.04667i
\(303\) 5.50568 9.77891i 0.316293 0.561784i
\(304\) 23.7199 + 17.7770i 1.36043 + 1.01958i
\(305\) −8.67467 8.67467i −0.496710 0.496710i
\(306\) −2.84265 + 14.9224i −0.162504 + 0.853056i
\(307\) 21.2370 4.22430i 1.21206 0.241093i 0.452639 0.891694i \(-0.350483\pi\)
0.759420 + 0.650601i \(0.225483\pi\)
\(308\) 7.43535 + 3.92021i 0.423668 + 0.223375i
\(309\) 18.2197 6.40537i 1.03648 0.364389i
\(310\) −11.2275 6.68630i −0.637681 0.379757i
\(311\) 6.49356 8.46257i 0.368216 0.479869i −0.572094 0.820188i \(-0.693869\pi\)
0.940310 + 0.340320i \(0.110535\pi\)
\(312\) −1.86897 + 19.5706i −0.105810 + 1.10797i
\(313\) −9.24830 12.0526i −0.522745 0.681255i 0.455135 0.890423i \(-0.349591\pi\)
−0.977880 + 0.209168i \(0.932924\pi\)
\(314\) 30.6072 3.60907i 1.72726 0.203672i
\(315\) 0.973304 5.51402i 0.0548395 0.310680i
\(316\) 16.7540 12.1502i 0.942487 0.683502i
\(317\) 13.8594 6.83468i 0.778419 0.383874i −0.00926200 0.999957i \(-0.502948\pi\)
0.787681 + 0.616083i \(0.211282\pi\)
\(318\) 8.68931 12.9285i 0.487273 0.724996i
\(319\) 3.77376 + 6.53634i 0.211290 + 0.365965i
\(320\) −9.12933 1.34808i −0.510345 0.0753598i
\(321\) 17.0131 + 16.6490i 0.949580 + 0.929255i
\(322\) −1.97061 10.6584i −0.109818 0.593969i
\(323\) 22.0617 + 14.7411i 1.22754 + 0.820219i
\(324\) 6.61770 16.7394i 0.367650 0.929964i
\(325\) −14.4422 2.87273i −0.801108 0.159350i
\(326\) −5.94076 + 13.8109i −0.329028 + 0.764914i
\(327\) −13.9777 + 5.96768i −0.772966 + 0.330014i
\(328\) −33.0738 3.51994i −1.82620 0.194356i
\(329\) −3.74010 + 4.87419i −0.206198 + 0.268723i
\(330\) 5.20383 5.17572i 0.286461 0.284914i
\(331\) −14.5700 + 0.954966i −0.800837 + 0.0524897i −0.460325 0.887750i \(-0.652267\pi\)
−0.340512 + 0.940240i \(0.610600\pi\)
\(332\) −8.44946 + 0.324603i −0.463724 + 0.0178149i
\(333\) −2.68607 12.1265i −0.147195 0.664527i
\(334\) −7.16612 22.0878i −0.392113 1.20859i
\(335\) 17.5209 4.69471i 0.957269 0.256499i
\(336\) 0.248432 + 11.2070i 0.0135531 + 0.611394i
\(337\) −17.7483 4.75565i −0.966812 0.259057i −0.259331 0.965789i \(-0.583502\pi\)
−0.707481 + 0.706732i \(0.750169\pi\)
\(338\) 0.227848 + 4.38416i 0.0123933 + 0.238467i
\(339\) 23.4935 + 1.28478i 1.27599 + 0.0697799i
\(340\) −8.22516 0.763018i −0.446072 0.0413805i
\(341\) −17.3003 + 11.5597i −0.936863 + 0.625992i
\(342\) −22.4111 22.0506i −1.21186 1.19236i
\(343\) −17.0143 + 7.04756i −0.918687 + 0.380533i
\(344\) 0.936817 + 1.32925i 0.0505098 + 0.0716684i
\(345\) −9.39621 1.13377i −0.505875 0.0610403i
\(346\) −23.6237 3.43579i −1.27002 0.184709i
\(347\) 15.6688 5.31885i 0.841147 0.285531i 0.132578 0.991173i \(-0.457674\pi\)
0.708569 + 0.705642i \(0.249341\pi\)
\(348\) −5.17363 + 8.63418i −0.277335 + 0.462841i
\(349\) −6.72642 13.6398i −0.360057 0.730123i 0.639185 0.769053i \(-0.279272\pi\)
−0.999242 + 0.0389299i \(0.987605\pi\)
\(350\) −8.36999 0.662404i −0.447395 0.0354070i
\(351\) 4.74058 20.3062i 0.253033 1.08386i
\(352\) −8.19000 + 12.1996i −0.436528 + 0.650239i
\(353\) −1.68142 0.970769i −0.0894930 0.0516688i 0.454586 0.890703i \(-0.349787\pi\)
−0.544079 + 0.839034i \(0.683121\pi\)
\(354\) −1.61691 + 1.41026i −0.0859378 + 0.0749546i
\(355\) −0.445397 0.0291929i −0.0236392 0.00154940i
\(356\) 19.1041 + 0.516926i 1.01252 + 0.0273970i
\(357\) 0.764535 + 10.0050i 0.0404635 + 0.529519i
\(358\) 8.03137 3.20013i 0.424471 0.169132i
\(359\) 13.8301 + 5.72860i 0.729923 + 0.302344i 0.716520 0.697566i \(-0.245734\pi\)
0.0134027 + 0.999910i \(0.495734\pi\)
\(360\) 9.40491 + 2.71198i 0.495682 + 0.142934i
\(361\) −33.1821 + 13.7445i −1.74642 + 0.723393i
\(362\) 6.82596 + 7.01316i 0.358765 + 0.368603i
\(363\) 2.44315 + 6.94939i 0.128232 + 0.364749i
\(364\) 2.18802 + 12.8004i 0.114684 + 0.670923i
\(365\) 5.90566 5.17912i 0.309116 0.271088i
\(366\) −19.5390 17.2291i −1.02132 0.900578i
\(367\) −9.30818 34.7386i −0.485883 1.81334i −0.576050 0.817414i \(-0.695407\pi\)
0.0901673 0.995927i \(-0.471260\pi\)
\(368\) 18.8919 1.45369i 0.984810 0.0757787i
\(369\) 34.2657 + 8.39136i 1.78380 + 0.436837i
\(370\) 6.42436 2.08431i 0.333987 0.108358i
\(371\) 3.30744 9.74340i 0.171714 0.505852i
\(372\) −24.6845 12.6753i −1.27983 0.657183i
\(373\) 14.6507 29.7087i 0.758585 1.53826i −0.0820335 0.996630i \(-0.526141\pi\)
0.840618 0.541628i \(-0.182192\pi\)
\(374\) −6.72980 + 11.3006i −0.347990 + 0.584338i
\(375\) −6.45507 + 16.0735i −0.333338 + 0.830033i
\(376\) −7.78083 7.40309i −0.401266 0.381785i
\(377\) −4.46229 + 10.7729i −0.229819 + 0.554833i
\(378\) 1.32856 11.8153i 0.0683336 0.607715i
\(379\) 18.4319 + 3.66633i 0.946781 + 0.188327i 0.644252 0.764813i \(-0.277169\pi\)
0.302530 + 0.953140i \(0.402169\pi\)
\(380\) 10.7709 13.2772i 0.552534 0.681108i
\(381\) −4.12399 19.6210i −0.211278 1.00521i
\(382\) −3.63113 + 10.2398i −0.185785 + 0.523914i
\(383\) −0.143436 0.248438i −0.00732922 0.0126946i 0.862338 0.506334i \(-0.169000\pi\)
−0.869667 + 0.493639i \(0.835666\pi\)
\(384\) −19.5270 1.64146i −0.996486 0.0837653i
\(385\) 2.42402 4.19853i 0.123540 0.213977i
\(386\) 4.04402 + 4.73912i 0.205835 + 0.241215i
\(387\) −0.796168 1.53010i −0.0404715 0.0777795i
\(388\) 1.74600 + 0.278099i 0.0886395 + 0.0141183i
\(389\) −6.28457 + 7.16618i −0.318640 + 0.363340i −0.888881 0.458138i \(-0.848517\pi\)
0.570241 + 0.821478i \(0.306850\pi\)
\(390\) 11.2380 + 1.51049i 0.569060 + 0.0764868i
\(391\) 16.8155 2.21380i 0.850395 0.111957i
\(392\) −3.50466 11.8886i −0.177012 0.600466i
\(393\) −20.8350 + 2.97260i −1.05099 + 0.149948i
\(394\) −33.8662 0.458097i −1.70615 0.0230786i
\(395\) −6.63175 9.92512i −0.333680 0.499387i
\(396\) 10.3392 11.6616i 0.519567 0.586018i
\(397\) −15.5434 + 3.09177i −0.780100 + 0.155172i −0.569049 0.822303i \(-0.692689\pi\)
−0.211051 + 0.977475i \(0.567689\pi\)
\(398\) −5.04152 + 23.6677i −0.252708 + 1.18636i
\(399\) −18.0966 10.1887i −0.905962 0.510071i
\(400\) 2.69990 14.4269i 0.134995 0.721346i
\(401\) −9.51422 2.54933i −0.475118 0.127307i 0.0133107 0.999911i \(-0.495763\pi\)
−0.488428 + 0.872604i \(0.662430\pi\)
\(402\) 36.5066 12.2821i 1.82078 0.612577i
\(403\) −30.4396 10.3328i −1.51630 0.514716i
\(404\) 12.1535 + 4.49571i 0.604660 + 0.223670i
\(405\) −9.50112 4.18471i −0.472114 0.207940i
\(406\) −1.80753 + 6.39833i −0.0897060 + 0.317544i
\(407\) 1.40368 10.6620i 0.0695780 0.528497i
\(408\) −17.5330 0.521938i −0.868012 0.0258398i
\(409\) 2.71732 + 20.6401i 0.134363 + 1.02059i 0.917219 + 0.398384i \(0.130429\pi\)
−0.782856 + 0.622203i \(0.786238\pi\)
\(410\) −2.76100 + 18.9840i −0.136356 + 0.937553i
\(411\) 0.601414 + 7.87031i 0.0296655 + 0.388214i
\(412\) 10.6238 + 19.6074i 0.523398 + 0.965986i
\(413\) −0.787358 + 1.17836i −0.0387433 + 0.0579835i
\(414\) −20.0641 1.15176i −0.986097 0.0566057i
\(415\) 4.87699i 0.239402i
\(416\) −22.6556 + 1.43534i −1.11078 + 0.0703735i
\(417\) 11.7630 + 3.01588i 0.576035 + 0.147688i
\(418\) −11.7087 24.5753i −0.572691 1.20202i
\(419\) 8.57857 + 0.562269i 0.419090 + 0.0274686i 0.273490 0.961875i \(-0.411822\pi\)
0.145600 + 0.989343i \(0.453489\pi\)
\(420\) 6.46462 + 0.104958i 0.315441 + 0.00512141i
\(421\) −23.3324 20.4620i −1.13715 0.997256i −0.999977 0.00670956i \(-0.997864\pi\)
−0.137175 0.990547i \(-0.543802\pi\)
\(422\) −14.5974 + 18.5001i −0.710589 + 0.900570i
\(423\) 7.12857 + 8.88532i 0.346603 + 0.432019i
\(424\) 16.3250 + 7.55182i 0.792811 + 0.366749i
\(425\) 1.71486 13.0257i 0.0831829 0.631837i
\(426\) −0.947807 0.00256706i −0.0459214 0.000124374i
\(427\) −15.4327 7.61059i −0.746843 0.368302i
\(428\) −15.8833 + 22.4329i −0.767749 + 1.08433i
\(429\) 9.86762 15.1195i 0.476413 0.729975i
\(430\) 0.786849 0.510498i 0.0379452 0.0246184i
\(431\) 19.2727 19.2727i 0.928335 0.928335i −0.0692638 0.997598i \(-0.522065\pi\)
0.997598 + 0.0692638i \(0.0220650\pi\)
\(432\) 20.2927 + 4.49525i 0.976332 + 0.216278i
\(433\) −1.73795 1.73795i −0.0835207 0.0835207i 0.664112 0.747633i \(-0.268810\pi\)
−0.747633 + 0.664112i \(0.768810\pi\)
\(434\) −17.9270 3.81866i −0.860522 0.183302i
\(435\) 4.86172 + 3.17297i 0.233101 + 0.152132i
\(436\) −9.35171 14.8502i −0.447866 0.711197i
\(437\) −15.5258 + 31.4832i −0.742699 + 1.50604i
\(438\) 11.8262 11.7623i 0.565076 0.562023i
\(439\) 11.2529 + 1.48147i 0.537070 + 0.0707066i 0.394182 0.919032i \(-0.371028\pi\)
0.142888 + 0.989739i \(0.454361\pi\)
\(440\) 6.84981 + 4.99038i 0.326552 + 0.237907i
\(441\) 1.99750 + 12.9936i 0.0951188 + 0.618745i
\(442\) −20.1804 + 2.37959i −0.959883 + 0.113185i
\(443\) −18.1225 + 20.6647i −0.861025 + 0.981811i −0.999964 0.00848978i \(-0.997298\pi\)
0.138939 + 0.990301i \(0.455631\pi\)
\(444\) 13.3375 5.27257i 0.632969 0.250225i
\(445\) 0.720921 10.9991i 0.0341749 0.521409i
\(446\) −9.98509 3.54080i −0.472808 0.167662i
\(447\) −2.25937 + 8.81232i −0.106865 + 0.416808i
\(448\) −12.7333 + 2.32555i −0.601594 + 0.109872i
\(449\) 26.0201 1.22796 0.613982 0.789320i \(-0.289567\pi\)
0.613982 + 0.789320i \(0.289567\pi\)
\(450\) −4.88437 + 14.7816i −0.230252 + 0.696813i
\(451\) 25.3974 + 16.9700i 1.19591 + 0.799085i
\(452\) 2.81632 + 27.0221i 0.132469 + 1.27101i
\(453\) 22.2423 1.69966i 1.04503 0.0798569i
\(454\) −1.01216 1.35668i −0.0475030 0.0636721i
\(455\) 7.42589 0.977637i 0.348131 0.0458323i
\(456\) 21.0587 29.5722i 0.986165 1.38484i
\(457\) −10.2772 1.35302i −0.480746 0.0632915i −0.113741 0.993510i \(-0.536284\pi\)
−0.367005 + 0.930219i \(0.619617\pi\)
\(458\) 9.45171 5.28780i 0.441650 0.247083i
\(459\) 18.3554 + 3.03564i 0.856759 + 0.141691i
\(460\) −0.419531 10.9204i −0.0195607 0.509169i
\(461\) −10.4476 + 30.7778i −0.486595 + 1.43346i 0.375550 + 0.926802i \(0.377454\pi\)
−0.862145 + 0.506662i \(0.830879\pi\)
\(462\) 4.57817 9.22058i 0.212996 0.428980i
\(463\) −6.65075 + 24.8209i −0.309086 + 1.15353i 0.620284 + 0.784377i \(0.287017\pi\)
−0.929370 + 0.369149i \(0.879649\pi\)
\(464\) −10.7878 4.32570i −0.500809 0.200815i
\(465\) −7.85188 + 13.9461i −0.364122 + 0.646735i
\(466\) 6.42219 4.16664i 0.297502 0.193016i
\(467\) −2.53702 12.7544i −0.117399 0.590205i −0.994036 0.109053i \(-0.965218\pi\)
0.876637 0.481153i \(-0.159782\pi\)
\(468\) 24.0176 + 1.70490i 1.11022 + 0.0788092i
\(469\) 21.1545 14.1350i 0.976825 0.652694i
\(470\) −4.43901 + 4.32053i −0.204756 + 0.199291i
\(471\) −5.33132 37.3673i −0.245654 1.72179i
\(472\) −1.90268 1.58665i −0.0875778 0.0730317i
\(473\) −0.194932 1.48066i −0.00896299 0.0680807i
\(474\) −15.3760 20.1511i −0.706241 0.925571i
\(475\) 20.4439 + 17.9288i 0.938030 + 0.822630i
\(476\) −11.2686 + 2.69498i −0.516498 + 0.123524i
\(477\) −16.0885 10.2536i −0.736642 0.469481i
\(478\) −3.26455 0.258358i −0.149317 0.0118170i
\(479\) 29.4215 + 16.9865i 1.34430 + 0.776133i 0.987436 0.158022i \(-0.0505117\pi\)
0.356867 + 0.934155i \(0.383845\pi\)
\(480\) −1.37840 + 11.2180i −0.0629152 + 0.512028i
\(481\) 14.3885 8.30721i 0.656059 0.378776i
\(482\) 10.6852 5.09086i 0.486697 0.231882i
\(483\) −12.9912 + 2.73052i −0.591119 + 0.124243i
\(484\) −7.47869 + 4.05216i −0.339940 + 0.184189i
\(485\) 0.198940 1.00014i 0.00903339 0.0454139i
\(486\) −20.6926 7.60357i −0.938638 0.344905i
\(487\) −16.3597 6.77643i −0.741331 0.307069i −0.0201320 0.999797i \(-0.506409\pi\)
−0.721199 + 0.692728i \(0.756409\pi\)
\(488\) 16.0845 25.4186i 0.728110 1.15065i
\(489\) 17.0869 + 6.86204i 0.772697 + 0.310312i
\(490\) −6.92954 + 1.75666i −0.313045 + 0.0793580i
\(491\) 4.30434 + 2.12267i 0.194252 + 0.0957946i 0.536814 0.843701i \(-0.319628\pi\)
−0.342561 + 0.939495i \(0.611294\pi\)
\(492\) −3.32377 + 40.6000i −0.149847 + 1.83039i
\(493\) −9.85162 3.34418i −0.443695 0.150614i
\(494\) 19.1097 37.4644i 0.859784 1.68560i
\(495\) −6.49219 6.21718i −0.291802 0.279441i
\(496\) 9.95443 30.4558i 0.446967 1.36751i
\(497\) −0.604737 + 0.162039i −0.0271262 + 0.00726844i
\(498\) 0.649328 + 10.3357i 0.0290971 + 0.463153i
\(499\) −0.649460 0.740567i −0.0290738 0.0331523i 0.737120 0.675762i \(-0.236185\pi\)
−0.766194 + 0.642609i \(0.777852\pi\)
\(500\) −19.5038 4.43115i −0.872238 0.198167i
\(501\) −26.8303 + 9.43253i −1.19869 + 0.421415i
\(502\) −24.8521 0.336167i −1.10920 0.0150038i
\(503\) 8.61321 + 20.7941i 0.384044 + 0.927165i 0.991175 + 0.132563i \(0.0423205\pi\)
−0.607130 + 0.794602i \(0.707679\pi\)
\(504\) 13.7143 0.638273i 0.610883 0.0284310i
\(505\) 2.86018 6.90508i 0.127276 0.307272i
\(506\) −15.9847 6.87583i −0.710608 0.305668i
\(507\) 5.36110 0.409671i 0.238095 0.0181941i
\(508\) 21.6209 8.27787i 0.959272 0.367271i
\(509\) −0.0472067 + 0.720235i −0.00209240 + 0.0319238i −0.998777 0.0494328i \(-0.984259\pi\)
0.996685 + 0.0813567i \(0.0259253\pi\)
\(510\) −0.689022 + 10.0935i −0.0305104 + 0.446947i
\(511\) 5.50880 9.54153i 0.243695 0.422092i
\(512\) −1.68682 22.5645i −0.0745476 0.997217i
\(513\) −26.3302 + 28.0972i −1.16251 + 1.24052i
\(514\) 29.1023 + 34.1045i 1.28365 + 1.50429i
\(515\) 11.5358 5.68884i 0.508330 0.250680i
\(516\) 1.59958 1.18665i 0.0704177 0.0522393i
\(517\) 3.17040 + 9.33970i 0.139434 + 0.410760i
\(518\) 7.59308 5.66487i 0.333621 0.248900i
\(519\) −3.50246 + 29.0269i −0.153741 + 1.27414i
\(520\) 0.325626 + 13.0892i 0.0142796 + 0.574000i
\(521\) 5.10044 + 12.3136i 0.223454 + 0.539467i 0.995355 0.0962770i \(-0.0306935\pi\)
−0.771900 + 0.635744i \(0.780693\pi\)
\(522\) 10.7258 + 6.07710i 0.469454 + 0.265987i
\(523\) 19.1679 + 28.6867i 0.838152 + 1.25438i 0.964945 + 0.262453i \(0.0845316\pi\)
−0.126793 + 0.991929i \(0.540468\pi\)
\(524\) −7.18626 23.2150i −0.313933 1.01415i
\(525\) −0.561514 + 10.2678i −0.0245065 + 0.448124i
\(526\) 3.30317 + 2.97679i 0.144025 + 0.129794i
\(527\) 7.42317 27.7036i 0.323358 1.20679i
\(528\) 15.1811 + 9.66400i 0.660671 + 0.420572i
\(529\) −0.145296 0.542251i −0.00631720 0.0235761i
\(530\) 4.71391 9.24161i 0.204759 0.401430i
\(531\) 1.77490 + 1.93767i 0.0770242 + 0.0840878i
\(532\) 8.31964 22.4910i 0.360702 0.975107i
\(533\) 3.08641 + 47.0896i 0.133687 + 2.03968i
\(534\) 0.0633937 23.4062i 0.00274331 1.01288i
\(535\) 12.5774 + 9.65096i 0.543768 + 0.417247i
\(536\) 20.6571 + 39.3877i 0.892252 + 1.70129i
\(537\) −4.15761 9.73806i −0.179414 0.420228i
\(538\) 23.7731 9.47250i 1.02493 0.408389i
\(539\) −2.22062 + 11.1638i −0.0956488 + 0.480859i
\(540\) 3.04013 11.5960i 0.130826 0.499014i
\(541\) 8.37023 12.5269i 0.359864 0.538575i −0.606723 0.794913i \(-0.707516\pi\)
0.966587 + 0.256339i \(0.0825162\pi\)
\(542\) −25.4516 17.5088i −1.09324 0.752066i
\(543\) 8.38329 8.56666i 0.359762 0.367630i
\(544\) −2.59995 20.0867i −0.111472 0.861212i
\(545\) −8.76592 + 5.06100i −0.375491 + 0.216790i
\(546\) 15.6074 3.06058i 0.667933 0.130981i
\(547\) 13.4324 + 27.2381i 0.574326 + 1.16462i 0.969290 + 0.245922i \(0.0790907\pi\)
−0.394963 + 0.918697i \(0.629243\pi\)
\(548\) −8.86436 + 2.11997i −0.378667 + 0.0905608i
\(549\) −20.5125 + 24.4368i −0.875451 + 1.04294i
\(550\) −8.34943 + 10.5817i −0.356021 + 0.451206i
\(551\) 17.0830 13.1082i 0.727759 0.558429i
\(552\) −2.34306 23.0876i −0.0997274 0.982673i
\(553\) −13.2831 10.1925i −0.564856 0.433429i
\(554\) 4.76494 + 18.7963i 0.202443 + 0.798580i
\(555\) −2.74351 7.80374i −0.116455 0.331250i
\(556\) −1.29521 + 13.9621i −0.0549291 + 0.592124i
\(557\) 1.18097 + 5.93715i 0.0500394 + 0.251565i 0.997706 0.0676969i \(-0.0215651\pi\)
−0.947667 + 0.319262i \(0.896565\pi\)
\(558\) −14.7835 + 30.6011i −0.625836 + 1.29545i
\(559\) 1.63149 1.63149i 0.0690047 0.0690047i
\(560\) 1.05839 + 7.39028i 0.0447250 + 0.312297i
\(561\) 14.0368 + 7.90296i 0.592635 + 0.333663i
\(562\) −28.8332 + 31.9944i −1.21625 + 1.34960i
\(563\) 0.106996 + 0.122005i 0.00450933 + 0.00514190i 0.754090 0.656771i \(-0.228078\pi\)
−0.749581 + 0.661913i \(0.769745\pi\)
\(564\) −8.83226 + 9.74741i −0.371905 + 0.410440i
\(565\) 15.6364 1.02486i 0.657829 0.0431164i
\(566\) 12.2026 6.82679i 0.512913 0.286952i
\(567\) −14.5061 1.27443i −0.609198 0.0535210i
\(568\) −0.169794 1.08119i −0.00712440 0.0453656i
\(569\) 0.296268 + 0.386104i 0.0124202 + 0.0161863i 0.799522 0.600637i \(-0.205086\pi\)
−0.787102 + 0.616823i \(0.788419\pi\)
\(570\) −16.5775 12.7919i −0.694356 0.535792i
\(571\) −10.2499 30.1951i −0.428943 1.26363i −0.919801 0.392386i \(-0.871650\pi\)
0.490858 0.871240i \(-0.336683\pi\)
\(572\) 19.0379 + 8.49610i 0.796013 + 0.355240i
\(573\) 12.6457 + 4.14063i 0.528281 + 0.172977i
\(574\) 4.89202 + 26.4593i 0.204189 + 1.10439i
\(575\) 17.3815 0.724858
\(576\) −1.42764 + 23.9575i −0.0594851 + 0.998229i
\(577\) 6.89901 0.287210 0.143605 0.989635i \(-0.454131\pi\)
0.143605 + 0.989635i \(0.454131\pi\)
\(578\) 1.07476 + 5.81302i 0.0447041 + 0.241790i
\(579\) 5.68193 5.09270i 0.236133 0.211646i
\(580\) −2.73195 + 6.12169i −0.113438 + 0.254189i
\(581\) 2.19885 + 6.47760i 0.0912237 + 0.268736i
\(582\) 0.288449 2.14606i 0.0119566 0.0889569i
\(583\) −10.0559 13.1051i −0.416471 0.542756i
\(584\) 15.5668 + 11.3411i 0.644159 + 0.469297i
\(585\) 1.51440 13.8047i 0.0626126 0.570754i
\(586\) −1.56492 + 0.875504i −0.0646464 + 0.0361667i
\(587\) −44.2011 + 2.89709i −1.82438 + 0.119576i −0.938701 0.344732i \(-0.887970\pi\)
−0.885674 + 0.464308i \(0.846303\pi\)
\(588\) −14.4517 + 4.64546i −0.595979 + 0.191576i
\(589\) 39.1393 + 44.6298i 1.61271 + 1.83894i
\(590\) −0.956588 + 1.06147i −0.0393821 + 0.0436999i
\(591\) 0.448712 + 41.4788i 0.0184575 + 1.70621i
\(592\) 8.44246 + 14.2470i 0.346983 + 0.585547i
\(593\) 32.0817 32.0817i 1.31744 1.31744i 0.401638 0.915798i \(-0.368441\pi\)
0.915798 0.401638i \(-0.131559\pi\)
\(594\) −14.5865 12.3115i −0.598491 0.505149i
\(595\) 1.30373 + 6.55430i 0.0534478 + 0.268700i
\(596\) −10.4598 0.970317i −0.428450 0.0397457i
\(597\) 29.1286 + 5.46717i 1.19216 + 0.223757i
\(598\) −6.60607 26.0591i −0.270142 1.06563i
\(599\) 6.91056 + 5.30266i 0.282358 + 0.216661i 0.740224 0.672360i \(-0.234719\pi\)
−0.457866 + 0.889021i \(0.651386\pi\)
\(600\) −17.7446 2.87562i −0.724418 0.117397i
\(601\) −25.6391 + 19.6736i −1.04584 + 0.802501i −0.980728 0.195377i \(-0.937407\pi\)
−0.0651114 + 0.997878i \(0.520740\pi\)
\(602\) 0.814926 1.03280i 0.0332139 0.0420939i
\(603\) −16.1263 44.3318i −0.656715 1.80533i
\(604\) 5.99127 + 25.0516i 0.243781 + 1.01934i
\(605\) 2.16985 + 4.40002i 0.0882170 + 0.178886i
\(606\) 5.14216 15.0146i 0.208886 0.609926i
\(607\) 32.2413 18.6145i 1.30864 0.755541i 0.326767 0.945105i \(-0.394041\pi\)
0.981868 + 0.189564i \(0.0607075\pi\)
\(608\) 37.5567 + 18.6228i 1.52312 + 0.755253i
\(609\) 7.88788 + 2.02236i 0.319633 + 0.0819502i
\(610\) −14.2938 9.83300i −0.578737 0.398127i
\(611\) −8.46579 + 12.6700i −0.342489 + 0.512572i
\(612\) −0.116369 + 21.4826i −0.00470393 + 0.868384i
\(613\) 0.876445 4.40618i 0.0353993 0.177964i −0.959041 0.283268i \(-0.908581\pi\)
0.994440 + 0.105304i \(0.0335815\pi\)
\(614\) 28.4470 11.3348i 1.14803 0.457436i
\(615\) 23.3260 + 2.81458i 0.940594 + 0.113495i
\(616\) 11.3479 + 3.53988i 0.457219 + 0.142626i
\(617\) 23.3001 + 17.8788i 0.938026 + 0.719772i 0.960004 0.279986i \(-0.0903299\pi\)
−0.0219785 + 0.999758i \(0.506997\pi\)
\(618\) 23.6902 13.5921i 0.952960 0.546756i
\(619\) −3.22616 49.2217i −0.129670 1.97839i −0.196053 0.980593i \(-0.562812\pi\)
0.0663827 0.997794i \(-0.478854\pi\)
\(620\) −17.3326 6.41152i −0.696096 0.257493i
\(621\) −0.812049 + 24.6005i −0.0325864 + 0.987183i
\(622\) 6.85439 13.4380i 0.274836 0.538815i
\(623\) −4.00157 14.9340i −0.160319 0.598320i
\(624\) 2.43280 + 27.6963i 0.0973901 + 1.10874i
\(625\) 1.76277 6.57875i 0.0705108 0.263150i
\(626\) −15.9600 14.3831i −0.637890 0.574862i
\(627\) −29.7406 + 15.0685i −1.18772 + 0.601779i
\(628\) 41.6358 12.8885i 1.66145 0.514306i
\(629\) 8.23562 + 12.3255i 0.328375 + 0.491449i
\(630\) −0.0642112 7.91830i −0.00255824 0.315472i
\(631\) 0.390314 + 0.942301i 0.0155381 + 0.0375124i 0.931458 0.363848i \(-0.118537\pi\)
−0.915920 + 0.401361i \(0.868537\pi\)
\(632\) 20.1749 21.2043i 0.802514 0.843462i
\(633\) 23.0863 + 17.3212i 0.917600 + 0.688458i
\(634\) 17.5161 13.0680i 0.695655 0.518998i
\(635\) −4.29219 12.6444i −0.170330 0.501777i
\(636\) 8.75964 20.2131i 0.347342 0.801503i
\(637\) −15.7719 + 7.77782i −0.624904 + 0.308168i
\(638\) 6.92854 + 8.11944i 0.274303 + 0.321452i
\(639\) 0.0251124 + 1.16055i 0.000993431 + 0.0459108i
\(640\) −13.0423 + 0.472580i −0.515540 + 0.0186804i
\(641\) 11.4781 19.8806i 0.453358 0.785238i −0.545234 0.838284i \(-0.683559\pi\)
0.998592 + 0.0530451i \(0.0168927\pi\)
\(642\) 27.9399 + 18.7785i 1.10270 + 0.741128i
\(643\) −1.54762 + 23.6121i −0.0610322 + 0.931171i 0.852067 + 0.523433i \(0.175349\pi\)
−0.913099 + 0.407738i \(0.866318\pi\)
\(644\) −5.48084 14.3154i −0.215975 0.564104i
\(645\) −0.648502 0.948185i −0.0255347 0.0373348i
\(646\) 34.4701 + 14.8273i 1.35621 + 0.583373i
\(647\) −14.6244 + 35.3065i −0.574946 + 1.38804i 0.322352 + 0.946620i \(0.395526\pi\)
−0.897299 + 0.441424i \(0.854474\pi\)
\(648\) 4.89896 24.9800i 0.192449 0.981307i
\(649\) 0.870667 + 2.10198i 0.0341767 + 0.0825098i
\(650\) −20.8226 0.281660i −0.816728 0.0110476i
\(651\) −4.14107 + 22.0633i −0.162301 + 0.864729i
\(652\) −4.71051 + 20.7335i −0.184478 + 0.811986i
\(653\) 11.6249 + 13.2557i 0.454918 + 0.518735i 0.933144 0.359502i \(-0.117053\pi\)
−0.478226 + 0.878237i \(0.658720\pi\)
\(654\) −17.9036 + 11.8928i −0.700085 + 0.465044i
\(655\) −13.5390 + 3.62775i −0.529011 + 0.141748i
\(656\) −46.8990 + 3.60876i −1.83110 + 0.140899i
\(657\) −14.7541 14.1291i −0.575611 0.551228i
\(658\) −3.94792 + 7.73989i −0.153906 + 0.301732i
\(659\) 35.2007 + 11.9490i 1.37123 + 0.465468i 0.907329 0.420421i \(-0.138118\pi\)
0.463896 + 0.885889i \(0.346451\pi\)
\(660\) 5.90593 8.53556i 0.229888 0.332246i
\(661\) −14.7755 7.28645i −0.574699 0.283410i 0.131624 0.991300i \(-0.457981\pi\)
−0.706323 + 0.707890i \(0.749647\pi\)
\(662\) −20.0161 + 5.07416i −0.777948 + 0.197213i
\(663\) 3.51513 + 24.6376i 0.136516 + 0.956843i
\(664\) −11.6667 + 2.62388i −0.452757 + 0.101826i
\(665\) −12.7783 5.29296i −0.495523 0.205252i
\(666\) −6.85325 16.1730i −0.265558 0.626691i
\(667\) 2.68523 13.4996i 0.103972 0.522705i
\(668\) −15.6446 28.8738i −0.605308 1.11716i
\(669\) −4.03763 + 12.3311i −0.156104 + 0.476749i
\(670\) 23.1583 11.0335i 0.894682 0.426263i
\(671\) −23.9234 + 13.8122i −0.923552 + 0.533213i
\(672\) 3.22697 + 15.5211i 0.124483 + 0.598741i
\(673\) 26.2706 + 15.1673i 1.01266 + 0.584658i 0.911969 0.410260i \(-0.134562\pi\)
0.100689 + 0.994918i \(0.467895\pi\)
\(674\) −25.9043 2.05008i −0.997798 0.0789660i
\(675\) 18.2440 + 5.53968i 0.702211 + 0.213222i
\(676\) 1.44408 + 6.03823i 0.0555417 + 0.232240i
\(677\) 21.0758 + 18.4830i 0.810008 + 0.710358i 0.960508 0.278252i \(-0.0897550\pi\)
−0.150500 + 0.988610i \(0.548088\pi\)
\(678\) 33.0014 4.25382i 1.26741 0.163367i
\(679\) −0.186693 1.41807i −0.00716462 0.0544207i
\(680\) −11.6345 + 1.05372i −0.446161 + 0.0404082i
\(681\) −1.63092 + 1.27971i −0.0624969 + 0.0490387i
\(682\) −21.0864 + 20.5236i −0.807440 + 0.785888i
\(683\) 15.0941 10.0856i 0.577560 0.385913i −0.232206 0.972667i \(-0.574594\pi\)
0.809766 + 0.586753i \(0.199594\pi\)
\(684\) −36.8355 24.9023i −1.40844 0.952164i
\(685\) 1.02557 + 5.15587i 0.0391849 + 0.196996i
\(686\) −21.8488 + 14.1753i −0.834193 + 0.541214i
\(687\) −6.75606 11.4149i −0.257760 0.435504i
\(688\) 1.64455 + 1.60765i 0.0626978 + 0.0612909i
\(689\) 6.60514 24.6507i 0.251636 0.939118i
\(690\) −13.3583 + 0.839220i −0.508542 + 0.0319486i
\(691\) −6.86402 + 20.2208i −0.261120 + 0.769234i 0.734742 + 0.678347i \(0.237303\pi\)
−0.995861 + 0.0908867i \(0.971030\pi\)
\(692\) −33.7356 + 1.29602i −1.28243 + 0.0492673i
\(693\) −11.4260 5.33056i −0.434038 0.202491i
\(694\) 20.4222 11.4253i 0.775217 0.433699i
\(695\) 8.01829 + 1.05563i 0.304151 + 0.0400423i
\(696\) −4.97471 + 13.3373i −0.188566 + 0.505549i
\(697\) −41.7442 + 5.49573i −1.58118 + 0.208166i
\(698\) −12.8610 17.2387i −0.486798 0.652494i
\(699\) −5.29302 7.73900i −0.200200 0.292716i
\(700\) −11.8100 + 1.23087i −0.446376 + 0.0465226i
\(701\) −20.8579 13.9368i −0.787792 0.526386i 0.0953770 0.995441i \(-0.469594\pi\)
−0.883169 + 0.469056i \(0.844594\pi\)
\(702\) 1.37146 29.4576i 0.0517622 1.11180i
\(703\) −30.6806 −1.15714
\(704\) −8.25270 + 19.0710i −0.311035 + 0.718766i
\(705\) 5.42231 + 5.30625i 0.204216 + 0.199845i
\(706\) −2.58786 0.917678i −0.0973953 0.0345373i
\(707\) 0.685640 10.4608i 0.0257862 0.393421i
\(708\) −1.88595 + 2.37690i −0.0708783 + 0.0893295i
\(709\) −14.1903 + 16.1809i −0.532928 + 0.607688i −0.954172 0.299259i \(-0.903260\pi\)
0.421244 + 0.906948i \(0.361594\pi\)
\(710\) −0.626896 + 0.0739209i −0.0235270 + 0.00277420i
\(711\) −24.2143 + 19.4268i −0.908106 + 0.728561i
\(712\) 26.7000 4.19308i 1.00062 0.157142i
\(713\) 37.6199 + 4.95275i 1.40887 + 0.185482i
\(714\) 3.63561 + 13.7168i 0.136059 + 0.513338i
\(715\) 5.31821 10.7843i 0.198890 0.403309i
\(716\) 10.3460 6.51523i 0.386647 0.243485i
\(717\) −0.219008 + 4.00476i −0.00817899 + 0.149561i
\(718\) 20.7056 + 4.41055i 0.772727 + 0.164600i
\(719\) −8.93848 8.93848i −0.333349 0.333349i 0.520508 0.853857i \(-0.325743\pi\)
−0.853857 + 0.520508i \(0.825743\pi\)
\(720\) 13.7762 + 1.35327i 0.513408 + 0.0504333i
\(721\) 12.7570 12.7570i 0.475095 0.475095i
\(722\) −42.6106 + 27.6452i −1.58580 + 1.02885i
\(723\) −6.55170 12.9310i −0.243660 0.480909i
\(724\) 11.2957 + 7.99776i 0.419800 + 0.297235i
\(725\) −9.56240 4.71565i −0.355139 0.175135i
\(726\) 5.18434 + 9.03597i 0.192409 + 0.335356i
\(727\) −1.75686 + 13.3447i −0.0651583 + 0.494927i 0.927486 + 0.373858i \(0.121965\pi\)
−0.992644 + 0.121068i \(0.961368\pi\)
\(728\) 6.33393 + 17.2382i 0.234751 + 0.638892i
\(729\) −8.69280 + 25.5624i −0.321956 + 0.946755i
\(730\) 6.88105 8.72074i 0.254679 0.322769i
\(731\) 1.54774 + 1.35733i 0.0572451 + 0.0502026i
\(732\) −31.6016 18.9358i −1.16803 0.699886i
\(733\) 18.2319 + 1.19498i 0.673411 + 0.0441377i 0.398273 0.917267i \(-0.369610\pi\)
0.275138 + 0.961405i \(0.411276\pi\)
\(734\) −21.8762 45.9158i −0.807463 1.69478i
\(735\) 2.35741 + 8.43204i 0.0869543 + 0.311020i
\(736\) 25.8982 6.87894i 0.954620 0.253561i
\(737\) 40.8448i 1.50454i
\(738\) 49.8089 + 2.85922i 1.83349 + 0.105249i
\(739\) −4.45720 + 6.67068i −0.163961 + 0.245385i −0.904348 0.426796i \(-0.859642\pi\)
0.740387 + 0.672181i \(0.234642\pi\)
\(740\) 8.39810 4.55032i 0.308720 0.167273i
\(741\) −46.4405 22.2807i −1.70603 0.818500i
\(742\) 2.09431 14.4000i 0.0768845 0.528641i
\(743\) −5.21953 39.6463i −0.191486 1.45448i −0.769600 0.638526i \(-0.779545\pi\)
0.578114 0.815956i \(-0.303789\pi\)
\(744\) −37.5863 11.2801i −1.37798 0.413548i
\(745\) −0.790833 + 6.00697i −0.0289739 + 0.220078i
\(746\) 12.7354 45.0811i 0.466276 1.65054i
\(747\) 12.6355 1.10315i 0.462308 0.0403621i
\(748\) −6.45323 + 17.4454i −0.235953 + 0.637866i
\(749\) 21.0565 + 7.14771i 0.769387 + 0.261172i
\(750\) −4.84398 + 24.0123i −0.176877 + 0.876804i
\(751\) −24.7924 6.64310i −0.904687 0.242410i −0.223659 0.974667i \(-0.571800\pi\)
−0.681028 + 0.732257i \(0.738467\pi\)
\(752\) −12.7238 8.29451i −0.463990 0.302470i
\(753\) 0.329280 + 30.4385i 0.0119996 + 1.10924i
\(754\) −3.43559 + 16.1286i −0.125117 + 0.587369i
\(755\) 14.5710 2.89836i 0.530294 0.105482i
\(756\) −1.19033 16.7725i −0.0432920 0.610010i
\(757\) 20.2134 + 30.2515i 0.734669 + 1.09951i 0.991122 + 0.132953i \(0.0424458\pi\)
−0.256454 + 0.966556i \(0.582554\pi\)
\(758\) 26.5748 + 0.359470i 0.965242 + 0.0130565i
\(759\) −7.94212 + 19.7764i −0.288281 + 0.717837i
\(760\) 11.5647 21.2333i 0.419496 0.770212i
\(761\) −4.90882 + 0.646259i −0.177945 + 0.0234269i −0.218972 0.975731i \(-0.570270\pi\)
0.0410272 + 0.999158i \(0.486937\pi\)
\(762\) −10.7798 26.2255i −0.390512 0.950049i
\(763\) −9.36105 + 10.6742i −0.338893 + 0.386433i
\(764\) −2.41682 + 15.1736i −0.0874373 + 0.548960i
\(765\) 12.3788 + 0.542725i 0.447557 + 0.0196223i
\(766\) −0.263345 0.308609i −0.00951503 0.0111505i
\(767\) −1.75750 + 3.04409i −0.0634598 + 0.109916i
\(768\) −27.5772 + 2.73799i −0.995107 + 0.0987987i
\(769\) −20.3850 35.3079i −0.735103 1.27323i −0.954678 0.297640i \(-0.903801\pi\)
0.219576 0.975595i \(-0.429533\pi\)
\(770\) 2.29145 6.46191i 0.0825782 0.232871i
\(771\) 40.8894 36.6491i 1.47260 1.31988i
\(772\) 6.84228 + 5.55066i 0.246259