Properties

Label 483.2.y.a.4.6
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.851765 + 1.19614i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-0.0511029 - 0.147652i) q^{4} +(0.117190 - 2.46013i) q^{5} +(-0.961608 - 1.10975i) q^{6} +(-2.08452 - 1.62935i) q^{7} +(-2.59773 - 0.762762i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(-0.851765 + 1.19614i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(-0.0511029 - 0.147652i) q^{4} +(0.117190 - 2.46013i) q^{5} +(-0.961608 - 1.10975i) q^{6} +(-2.08452 - 1.62935i) q^{7} +(-2.59773 - 0.762762i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(2.84283 + 2.23562i) q^{10} +(2.66626 + 3.74424i) q^{11} +(0.155538 - 0.0148521i) q^{12} +(0.969180 - 6.74079i) q^{13} +(3.72444 - 1.10555i) q^{14} +(2.36315 + 0.693883i) q^{15} +(3.37066 - 2.65071i) q^{16} +(0.693635 - 0.133687i) q^{17} +(1.30518 - 0.672867i) q^{18} +(5.51725 + 1.06336i) q^{19} +(-0.369231 + 0.108416i) q^{20} +(2.07486 - 1.64163i) q^{21} -6.74966 q^{22} +(-3.35487 - 3.42708i) q^{23} +(1.35370 - 2.34468i) q^{24} +(-1.06112 - 0.101325i) q^{25} +(7.23739 + 6.90084i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-0.134051 + 0.391048i) q^{28} +(-2.24396 - 2.58967i) q^{29} +(-2.84283 + 2.23562i) q^{30} +(5.05287 - 4.81790i) q^{31} +(0.0419618 + 0.880887i) q^{32} +(-4.26730 + 1.70837i) q^{33} +(-0.430906 + 0.943553i) q^{34} +(-4.25268 + 4.93724i) q^{35} +(-0.0222360 + 0.154655i) q^{36} +(-2.31964 - 1.19586i) q^{37} +(-5.97132 + 5.69365i) q^{38} +(6.32229 + 2.53106i) q^{39} +(-2.18092 + 6.30135i) q^{40} +(-1.97956 - 1.27218i) q^{41} +(0.196319 + 3.88010i) q^{42} +(4.40504 - 1.29344i) q^{43} +(0.416592 - 0.585021i) q^{44} +(-1.23146 + 2.13295i) q^{45} +(6.95681 - 1.09381i) q^{46} +(5.59851 + 9.69690i) q^{47} +(1.78133 + 3.90057i) q^{48} +(1.69047 + 6.79281i) q^{49} +(1.02503 - 1.18294i) q^{50} +(-0.0336119 + 0.705601i) q^{51} +(-1.04482 + 0.201373i) q^{52} +(0.306420 + 0.122672i) q^{53} +(0.346192 + 1.42702i) q^{54} +(9.52377 - 6.12056i) q^{55} +(4.17222 + 5.82259i) q^{56} +(-2.33413 + 5.11103i) q^{57} +(5.00893 - 0.478295i) q^{58} +(-10.8689 - 8.54739i) q^{59} +(-0.0183104 - 0.384383i) q^{60} +(-2.74857 - 11.3298i) q^{61} +(1.45901 + 10.1476i) q^{62} +(1.10619 + 2.40340i) q^{63} +(6.12532 + 3.93650i) q^{64} +(-16.4696 - 3.17426i) q^{65} +(1.59129 - 6.55939i) q^{66} +(-0.775897 - 0.0740891i) q^{67} +(-0.0551860 - 0.0955849i) q^{68} +(4.12142 - 2.45233i) q^{69} +(-2.28333 - 9.29216i) q^{70} +(-0.752813 - 1.64843i) q^{71} +(1.95944 + 1.86832i) q^{72} +(-0.649073 - 1.87537i) q^{73} +(3.40619 - 1.75602i) q^{74} +(0.348638 - 1.00732i) q^{75} +(-0.124940 - 0.868974i) q^{76} +(0.542781 - 12.1492i) q^{77} +(-8.41260 + 5.40645i) q^{78} +(1.34627 - 0.538966i) q^{79} +(-6.12608 - 8.60288i) q^{80} +(0.580057 + 0.814576i) q^{81} +(3.20782 - 1.28422i) q^{82} +(1.86385 - 1.19782i) q^{83} +(-0.348422 - 0.222466i) q^{84} +(-0.247600 - 1.72210i) q^{85} +(-2.20493 + 6.37073i) q^{86} +(3.04571 - 1.57017i) q^{87} +(-4.07027 - 11.7603i) q^{88} +(6.44421 + 6.14454i) q^{89} +(-1.50238 - 3.28976i) q^{90} +(-13.0034 + 12.4722i) q^{91} +(-0.334572 + 0.670487i) q^{92} +(3.49084 + 6.04630i) q^{93} +(-16.3674 - 1.56290i) q^{94} +(3.26257 - 13.4485i) q^{95} +(-0.865949 - 0.166898i) q^{96} +(-8.09579 - 5.20285i) q^{97} +(-9.56501 - 3.76385i) q^{98} +(-0.654158 - 4.54977i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.851765 + 1.19614i −0.602289 + 0.845796i −0.997342 0.0728621i \(-0.976787\pi\)
0.395053 + 0.918658i \(0.370726\pi\)
\(3\) −0.235759 + 0.971812i −0.136115 + 0.561076i
\(4\) −0.0511029 0.147652i −0.0255514 0.0738260i
\(5\) 0.117190 2.46013i 0.0524091 1.10020i −0.807537 0.589817i \(-0.799200\pi\)
0.859946 0.510385i \(-0.170497\pi\)
\(6\) −0.961608 1.10975i −0.392575 0.453055i
\(7\) −2.08452 1.62935i −0.787875 0.615835i
\(8\) −2.59773 0.762762i −0.918436 0.269677i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 2.84283 + 2.23562i 0.898981 + 0.706966i
\(11\) 2.66626 + 3.74424i 0.803909 + 1.12893i 0.989247 + 0.146257i \(0.0467227\pi\)
−0.185338 + 0.982675i \(0.559338\pi\)
\(12\) 0.155538 0.0148521i 0.0448999 0.00428742i
\(13\) 0.969180 6.74079i 0.268802 1.86956i −0.191073 0.981576i \(-0.561197\pi\)
0.459875 0.887984i \(-0.347894\pi\)
\(14\) 3.72444 1.10555i 0.995399 0.295472i
\(15\) 2.36315 + 0.693883i 0.610163 + 0.179160i
\(16\) 3.37066 2.65071i 0.842664 0.662679i
\(17\) 0.693635 0.133687i 0.168231 0.0324239i −0.104440 0.994531i \(-0.533305\pi\)
0.272671 + 0.962107i \(0.412093\pi\)
\(18\) 1.30518 0.672867i 0.307634 0.158596i
\(19\) 5.51725 + 1.06336i 1.26574 + 0.243952i 0.777571 0.628795i \(-0.216452\pi\)
0.488172 + 0.872747i \(0.337664\pi\)
\(20\) −0.369231 + 0.108416i −0.0825627 + 0.0242426i
\(21\) 2.07486 1.64163i 0.452772 0.358233i
\(22\) −6.74966 −1.43903
\(23\) −3.35487 3.42708i −0.699538 0.714595i
\(24\) 1.35370 2.34468i 0.276323 0.478605i
\(25\) −1.06112 0.101325i −0.212225 0.0202650i
\(26\) 7.23739 + 6.90084i 1.41937 + 1.35337i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) −0.134051 + 0.391048i −0.0253333 + 0.0739012i
\(29\) −2.24396 2.58967i −0.416693 0.480890i 0.508133 0.861278i \(-0.330336\pi\)
−0.924827 + 0.380389i \(0.875790\pi\)
\(30\) −2.84283 + 2.23562i −0.519027 + 0.408167i
\(31\) 5.05287 4.81790i 0.907523 0.865321i −0.0838387 0.996479i \(-0.526718\pi\)
0.991361 + 0.131158i \(0.0418696\pi\)
\(32\) 0.0419618 + 0.880887i 0.00741787 + 0.155720i
\(33\) −4.26730 + 1.70837i −0.742841 + 0.297389i
\(34\) −0.430906 + 0.943553i −0.0738998 + 0.161818i
\(35\) −4.25268 + 4.93724i −0.718834 + 0.834546i
\(36\) −0.0222360 + 0.154655i −0.00370601 + 0.0257759i
\(37\) −2.31964 1.19586i −0.381346 0.196598i 0.256886 0.966442i \(-0.417304\pi\)
−0.638232 + 0.769844i \(0.720334\pi\)
\(38\) −5.97132 + 5.69365i −0.968677 + 0.923631i
\(39\) 6.32229 + 2.53106i 1.01238 + 0.405294i
\(40\) −2.18092 + 6.30135i −0.344834 + 0.996331i
\(41\) −1.97956 1.27218i −0.309155 0.198682i 0.376858 0.926271i \(-0.377004\pi\)
−0.686013 + 0.727589i \(0.740641\pi\)
\(42\) 0.196319 + 3.88010i 0.0302927 + 0.598712i
\(43\) 4.40504 1.29344i 0.671762 0.197247i 0.0719743 0.997406i \(-0.477070\pi\)
0.599787 + 0.800159i \(0.295252\pi\)
\(44\) 0.416592 0.585021i 0.0628036 0.0881953i
\(45\) −1.23146 + 2.13295i −0.183575 + 0.317961i
\(46\) 6.95681 1.09381i 1.02573 0.161274i
\(47\) 5.59851 + 9.69690i 0.816627 + 1.41444i 0.908154 + 0.418636i \(0.137492\pi\)
−0.0915274 + 0.995803i \(0.529175\pi\)
\(48\) 1.78133 + 3.90057i 0.257113 + 0.562999i
\(49\) 1.69047 + 6.79281i 0.241495 + 0.970402i
\(50\) 1.02503 1.18294i 0.144961 0.167294i
\(51\) −0.0336119 + 0.705601i −0.00470661 + 0.0988039i
\(52\) −1.04482 + 0.201373i −0.144890 + 0.0279254i
\(53\) 0.306420 + 0.122672i 0.0420901 + 0.0168503i 0.392612 0.919704i \(-0.371572\pi\)
−0.350522 + 0.936555i \(0.613996\pi\)
\(54\) 0.346192 + 1.42702i 0.0471108 + 0.194193i
\(55\) 9.52377 6.12056i 1.28419 0.825296i
\(56\) 4.17222 + 5.82259i 0.557537 + 0.778077i
\(57\) −2.33413 + 5.11103i −0.309163 + 0.676972i
\(58\) 5.00893 0.478295i 0.657704 0.0628032i
\(59\) −10.8689 8.54739i −1.41501 1.11278i −0.976861 0.213873i \(-0.931392\pi\)
−0.438148 0.898903i \(-0.644365\pi\)
\(60\) −0.0183104 0.384383i −0.00236387 0.0496237i
\(61\) −2.74857 11.3298i −0.351919 1.45063i −0.822749 0.568405i \(-0.807561\pi\)
0.470830 0.882224i \(-0.343954\pi\)
\(62\) 1.45901 + 10.1476i 0.185295 + 1.28875i
\(63\) 1.10619 + 2.40340i 0.139367 + 0.302800i
\(64\) 6.12532 + 3.93650i 0.765665 + 0.492063i
\(65\) −16.4696 3.17426i −2.04280 0.393718i
\(66\) 1.59129 6.55939i 0.195874 0.807406i
\(67\) −0.775897 0.0740891i −0.0947909 0.00905143i 0.0475528 0.998869i \(-0.484858\pi\)
−0.142344 + 0.989817i \(0.545464\pi\)
\(68\) −0.0551860 0.0955849i −0.00669228 0.0115914i
\(69\) 4.12142 2.45233i 0.496160 0.295226i
\(70\) −2.28333 9.29216i −0.272910 1.11062i
\(71\) −0.752813 1.64843i −0.0893424 0.195633i 0.859686 0.510823i \(-0.170659\pi\)
−0.949029 + 0.315190i \(0.897932\pi\)
\(72\) 1.95944 + 1.86832i 0.230922 + 0.220184i
\(73\) −0.649073 1.87537i −0.0759683 0.219496i 0.900622 0.434603i \(-0.143111\pi\)
−0.976591 + 0.215107i \(0.930990\pi\)
\(74\) 3.40619 1.75602i 0.395962 0.204133i
\(75\) 0.348638 1.00732i 0.0402573 0.116316i
\(76\) −0.124940 0.868974i −0.0143316 0.0996781i
\(77\) 0.542781 12.1492i 0.0618556 1.38453i
\(78\) −8.41260 + 5.40645i −0.952539 + 0.612160i
\(79\) 1.34627 0.538966i 0.151467 0.0606384i −0.294690 0.955593i \(-0.595216\pi\)
0.446157 + 0.894955i \(0.352792\pi\)
\(80\) −6.12608 8.60288i −0.684917 0.961831i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 3.20782 1.28422i 0.354245 0.141818i
\(83\) 1.86385 1.19782i 0.204584 0.131478i −0.434337 0.900750i \(-0.643017\pi\)
0.638921 + 0.769272i \(0.279381\pi\)
\(84\) −0.348422 0.222466i −0.0380159 0.0242730i
\(85\) −0.247600 1.72210i −0.0268560 0.186788i
\(86\) −2.20493 + 6.37073i −0.237764 + 0.686973i
\(87\) 3.04571 1.57017i 0.326534 0.168340i
\(88\) −4.07027 11.7603i −0.433892 1.25365i
\(89\) 6.44421 + 6.14454i 0.683085 + 0.651320i 0.949946 0.312415i \(-0.101138\pi\)
−0.266861 + 0.963735i \(0.585986\pi\)
\(90\) −1.50238 3.28976i −0.158365 0.346771i
\(91\) −13.0034 + 12.4722i −1.36312 + 1.30744i
\(92\) −0.334572 + 0.670487i −0.0348816 + 0.0699031i
\(93\) 3.49084 + 6.04630i 0.361983 + 0.626973i
\(94\) −16.3674 1.56290i −1.68817 0.161201i
\(95\) 3.26257 13.4485i 0.334733 1.37979i
\(96\) −0.865949 0.166898i −0.0883805 0.0170339i
\(97\) −8.09579 5.20285i −0.822003 0.528269i 0.0607243 0.998155i \(-0.480659\pi\)
−0.882728 + 0.469885i \(0.844295\pi\)
\(98\) −9.56501 3.76385i −0.966212 0.380207i
\(99\) −0.654158 4.54977i −0.0657454 0.457269i
\(100\) 0.0392657 + 0.161855i 0.00392657 + 0.0161855i
\(101\) 0.753040 + 15.8083i 0.0749303 + 1.57298i 0.653232 + 0.757157i \(0.273412\pi\)
−0.578302 + 0.815823i \(0.696284\pi\)
\(102\) −0.815365 0.641210i −0.0807332 0.0634893i
\(103\) −6.14665 + 0.586934i −0.605648 + 0.0578323i −0.393375 0.919378i \(-0.628693\pi\)
−0.212273 + 0.977210i \(0.568087\pi\)
\(104\) −7.65929 + 16.7715i −0.751055 + 1.64458i
\(105\) −3.79546 5.29680i −0.370399 0.516915i
\(106\) −0.407731 + 0.262033i −0.0396023 + 0.0254509i
\(107\) −2.77742 11.4487i −0.268503 1.10679i −0.933110 0.359592i \(-0.882916\pi\)
0.664606 0.747194i \(-0.268599\pi\)
\(108\) −0.145053 0.0580706i −0.0139578 0.00558784i
\(109\) −6.73542 + 1.29815i −0.645136 + 0.124340i −0.501316 0.865264i \(-0.667151\pi\)
−0.143820 + 0.989604i \(0.545939\pi\)
\(110\) −0.790994 + 16.6050i −0.0754183 + 1.58322i
\(111\) 1.70902 1.97232i 0.162213 0.187204i
\(112\) −11.3451 + 0.0335072i −1.07201 + 0.00316613i
\(113\) 0.0841900 + 0.184350i 0.00791992 + 0.0173422i 0.913551 0.406725i \(-0.133329\pi\)
−0.905631 + 0.424067i \(0.860602\pi\)
\(114\) −4.12536 7.14533i −0.386375 0.669221i
\(115\) −8.82420 + 7.85177i −0.822861 + 0.732181i
\(116\) −0.267697 + 0.463665i −0.0248551 + 0.0430503i
\(117\) −3.95025 + 5.54735i −0.365201 + 0.512853i
\(118\) 19.4816 5.72031i 1.79343 0.526597i
\(119\) −1.66372 0.851498i −0.152513 0.0780567i
\(120\) −5.60956 3.60504i −0.512080 0.329094i
\(121\) −3.31265 + 9.57128i −0.301150 + 0.870117i
\(122\) 15.8931 + 6.36263i 1.43889 + 0.576046i
\(123\) 1.70302 1.62383i 0.153556 0.146416i
\(124\) −0.969590 0.499858i −0.0870718 0.0448886i
\(125\) 1.37892 9.59061i 0.123334 0.857810i
\(126\) −3.81701 0.723983i −0.340046 0.0644975i
\(127\) 4.73704 10.3727i 0.420345 0.920426i −0.574451 0.818539i \(-0.694785\pi\)
0.994796 0.101888i \(-0.0324882\pi\)
\(128\) −11.5634 + 4.62927i −1.02207 + 0.409173i
\(129\) 0.218449 + 4.58580i 0.0192333 + 0.403757i
\(130\) 17.8251 16.9962i 1.56336 1.49066i
\(131\) 7.60265 5.97879i 0.664247 0.522369i −0.228147 0.973627i \(-0.573267\pi\)
0.892394 + 0.451257i \(0.149024\pi\)
\(132\) 0.470315 + 0.542773i 0.0409357 + 0.0472423i
\(133\) −9.76824 11.2061i −0.847014 0.971692i
\(134\) 0.749502 0.864972i 0.0647471 0.0747222i
\(135\) −1.78250 1.69961i −0.153413 0.146279i
\(136\) −1.90385 0.181796i −0.163254 0.0155888i
\(137\) 6.41431 11.1099i 0.548011 0.949184i −0.450399 0.892827i \(-0.648718\pi\)
0.998411 0.0563564i \(-0.0179483\pi\)
\(138\) −0.577152 + 7.01859i −0.0491304 + 0.597462i
\(139\) −4.34959 −0.368927 −0.184464 0.982839i \(-0.559055\pi\)
−0.184464 + 0.982839i \(0.559055\pi\)
\(140\) 0.946318 + 0.375610i 0.0799785 + 0.0317448i
\(141\) −10.7435 + 3.15457i −0.904763 + 0.265662i
\(142\) 2.61297 + 0.503608i 0.219275 + 0.0422618i
\(143\) 27.8233 14.3439i 2.32670 1.19950i
\(144\) −4.21059 + 0.811524i −0.350882 + 0.0676270i
\(145\) −6.63389 + 5.21695i −0.550914 + 0.433244i
\(146\) 2.79606 + 0.820997i 0.231404 + 0.0679462i
\(147\) −6.99988 + 0.0413478i −0.577340 + 0.00341031i
\(148\) −0.0580305 + 0.403611i −0.00477008 + 0.0331766i
\(149\) 7.41107 0.707671i 0.607138 0.0579747i 0.213041 0.977043i \(-0.431663\pi\)
0.394098 + 0.919069i \(0.371057\pi\)
\(150\) 0.907940 + 1.27502i 0.0741330 + 0.104105i
\(151\) 10.8612 + 8.54137i 0.883875 + 0.695087i 0.953146 0.302511i \(-0.0978249\pi\)
−0.0692710 + 0.997598i \(0.522067\pi\)
\(152\) −13.5212 6.97068i −1.09672 0.565396i
\(153\) −0.677787 0.199016i −0.0547958 0.0160895i
\(154\) 14.0698 + 10.9975i 1.13378 + 0.886206i
\(155\) −11.2605 12.9953i −0.904465 1.04381i
\(156\) 0.0506295 1.06284i 0.00405360 0.0850956i
\(157\) 4.32552 + 12.4978i 0.345214 + 0.997431i 0.975296 + 0.220902i \(0.0709002\pi\)
−0.630082 + 0.776529i \(0.716979\pi\)
\(158\) −0.502030 + 2.06940i −0.0399394 + 0.164632i
\(159\) −0.191456 + 0.268862i −0.0151834 + 0.0213221i
\(160\) 2.17201 0.171712
\(161\) 1.40940 + 12.6101i 0.111076 + 0.993812i
\(162\) −1.46842 −0.115370
\(163\) −12.1811 + 17.1060i −0.954100 + 1.33985i −0.0136520 + 0.999907i \(0.504346\pi\)
−0.940448 + 0.339939i \(0.889594\pi\)
\(164\) −0.0866795 + 0.357298i −0.00676853 + 0.0279003i
\(165\) 3.70271 + 10.6983i 0.288256 + 0.832860i
\(166\) −0.154801 + 3.24968i −0.0120149 + 0.252224i
\(167\) 0.998344 + 1.15215i 0.0772542 + 0.0891561i 0.793061 0.609142i \(-0.208486\pi\)
−0.715807 + 0.698299i \(0.753941\pi\)
\(168\) −6.64210 + 2.68189i −0.512449 + 0.206912i
\(169\) −32.0256 9.40356i −2.46351 0.723351i
\(170\) 2.27076 + 1.17066i 0.174159 + 0.0897854i
\(171\) −4.41666 3.47330i −0.337751 0.265610i
\(172\) −0.416088 0.584314i −0.0317264 0.0445536i
\(173\) 3.80004 0.362860i 0.288912 0.0275878i 0.0504061 0.998729i \(-0.483948\pi\)
0.238506 + 0.971141i \(0.423342\pi\)
\(174\) −0.716087 + 4.98050i −0.0542864 + 0.377570i
\(175\) 2.04684 + 1.94015i 0.154727 + 0.146662i
\(176\) 18.9120 + 5.55306i 1.42554 + 0.418578i
\(177\) 10.8689 8.54739i 0.816956 0.642461i
\(178\) −12.8387 + 2.47445i −0.962298 + 0.185468i
\(179\) −8.50678 + 4.38555i −0.635827 + 0.327791i −0.745827 0.666140i \(-0.767945\pi\)
0.110000 + 0.993932i \(0.464915\pi\)
\(180\) 0.377865 + 0.0728275i 0.0281644 + 0.00542824i
\(181\) 19.2292 5.64619i 1.42929 0.419678i 0.526654 0.850080i \(-0.323446\pi\)
0.902637 + 0.430402i \(0.141628\pi\)
\(182\) −3.84265 26.1772i −0.284836 1.94038i
\(183\) 11.6584 0.861814
\(184\) 6.10099 + 11.4616i 0.449771 + 0.844960i
\(185\) −3.21380 + 5.56646i −0.236283 + 0.409254i
\(186\) −10.2056 0.974514i −0.748309 0.0714549i
\(187\) 2.34997 + 2.24069i 0.171847 + 0.163856i
\(188\) 1.14567 1.32217i 0.0835564 0.0964293i
\(189\) −2.59645 + 0.508382i −0.188864 + 0.0369794i
\(190\) 13.3073 + 15.3574i 0.965413 + 1.11415i
\(191\) −3.49027 + 2.74478i −0.252547 + 0.198605i −0.736404 0.676542i \(-0.763478\pi\)
0.483857 + 0.875147i \(0.339235\pi\)
\(192\) −5.26964 + 5.02459i −0.380303 + 0.362619i
\(193\) 0.511216 + 10.7317i 0.0367981 + 0.772487i 0.939568 + 0.342363i \(0.111227\pi\)
−0.902770 + 0.430124i \(0.858470\pi\)
\(194\) 13.1190 5.25207i 0.941892 0.377076i
\(195\) 6.96764 15.2570i 0.498963 1.09258i
\(196\) 0.916586 0.596733i 0.0654704 0.0426238i
\(197\) −0.180895 + 1.25816i −0.0128883 + 0.0896398i −0.995250 0.0973489i \(-0.968964\pi\)
0.982362 + 0.186989i \(0.0598728\pi\)
\(198\) 5.99933 + 3.09287i 0.426354 + 0.219801i
\(199\) −0.418903 + 0.399423i −0.0296952 + 0.0283143i −0.704781 0.709425i \(-0.748955\pi\)
0.675086 + 0.737739i \(0.264106\pi\)
\(200\) 2.67923 + 1.07260i 0.189450 + 0.0758443i
\(201\) 0.254925 0.736558i 0.0179810 0.0519528i
\(202\) −19.5502 12.5642i −1.37555 0.884012i
\(203\) 0.458121 + 9.05442i 0.0321538 + 0.635496i
\(204\) 0.105901 0.0310954i 0.00741456 0.00217711i
\(205\) −3.36172 + 4.72087i −0.234792 + 0.329720i
\(206\) 4.53345 7.85216i 0.315860 0.547086i
\(207\) 1.41155 + 4.58340i 0.0981092 + 0.318568i
\(208\) −14.6011 25.2899i −1.01241 1.75354i
\(209\) 10.7290 + 23.4931i 0.742137 + 1.62505i
\(210\) 9.56854 0.0282601i 0.660292 0.00195013i
\(211\) 12.6027 14.5442i 0.867603 1.00127i −0.132346 0.991204i \(-0.542251\pi\)
0.999949 0.0100638i \(-0.00320345\pi\)
\(212\) 0.00245384 0.0515125i 0.000168531 0.00353789i
\(213\) 1.77945 0.342960i 0.121926 0.0234992i
\(214\) 16.0599 + 6.42941i 1.09783 + 0.439505i
\(215\) −2.66579 10.9885i −0.181805 0.749411i
\(216\) −2.27761 + 1.46373i −0.154972 + 0.0995942i
\(217\) −18.3829 + 1.81015i −1.24791 + 0.122881i
\(218\) 4.18423 9.16219i 0.283392 0.620542i
\(219\) 1.97553 0.188641i 0.133494 0.0127472i
\(220\) −1.39041 1.09343i −0.0937411 0.0737188i
\(221\) −0.228901 4.80522i −0.0153975 0.323234i
\(222\) 0.903475 + 3.72418i 0.0606373 + 0.249950i
\(223\) 2.23729 + 15.5607i 0.149820 + 1.04202i 0.916512 + 0.400007i \(0.130992\pi\)
−0.766692 + 0.642015i \(0.778099\pi\)
\(224\) 1.34780 1.90460i 0.0900536 0.127256i
\(225\) 0.896735 + 0.576297i 0.0597823 + 0.0384198i
\(226\) −0.292218 0.0563204i −0.0194381 0.00374638i
\(227\) −1.08453 + 4.47051i −0.0719831 + 0.296718i −0.996412 0.0846363i \(-0.973027\pi\)
0.924429 + 0.381355i \(0.124542\pi\)
\(228\) 0.873935 + 0.0834506i 0.0578777 + 0.00552665i
\(229\) −5.14161 8.90552i −0.339767 0.588494i 0.644622 0.764502i \(-0.277015\pi\)
−0.984389 + 0.176008i \(0.943682\pi\)
\(230\) −1.87564 17.2428i −0.123676 1.13696i
\(231\) 11.6788 + 3.39177i 0.768408 + 0.223162i
\(232\) 3.85391 + 8.43888i 0.253021 + 0.554039i
\(233\) 14.2938 + 13.6291i 0.936416 + 0.892871i 0.994425 0.105445i \(-0.0336268\pi\)
−0.0580092 + 0.998316i \(0.518475\pi\)
\(234\) −3.27070 9.45008i −0.213813 0.617771i
\(235\) 24.5117 12.6367i 1.59897 0.824324i
\(236\) −0.706609 + 2.04161i −0.0459963 + 0.132898i
\(237\) 0.206378 + 1.43539i 0.0134057 + 0.0932385i
\(238\) 2.43561 1.26476i 0.157877 0.0819823i
\(239\) −8.06033 + 5.18006i −0.521380 + 0.335070i −0.774717 0.632308i \(-0.782108\pi\)
0.253338 + 0.967378i \(0.418472\pi\)
\(240\) 9.80465 3.92519i 0.632888 0.253370i
\(241\) 2.32457 + 3.26441i 0.149739 + 0.210279i 0.882632 0.470065i \(-0.155770\pi\)
−0.732893 + 0.680344i \(0.761830\pi\)
\(242\) −8.62696 12.1149i −0.554562 0.778773i
\(243\) −0.928368 + 0.371662i −0.0595548 + 0.0238422i
\(244\) −1.53240 + 0.984817i −0.0981022 + 0.0630464i
\(245\) 16.9093 3.36271i 1.08029 0.214835i
\(246\) 0.491745 + 3.42016i 0.0313525 + 0.218062i
\(247\) 12.5151 36.1600i 0.796317 2.30081i
\(248\) −16.8009 + 8.66147i −1.06686 + 0.550004i
\(249\) 0.724639 + 2.09371i 0.0459221 + 0.132683i
\(250\) 10.2972 + 9.81832i 0.651249 + 0.620965i
\(251\) 11.5568 + 25.3060i 0.729462 + 1.59730i 0.800150 + 0.599799i \(0.204753\pi\)
−0.0706888 + 0.997498i \(0.522520\pi\)
\(252\) 0.298338 0.286152i 0.0187935 0.0180259i
\(253\) 3.88686 21.6989i 0.244365 1.36420i
\(254\) 8.37229 + 14.5012i 0.525324 + 0.909888i
\(255\) 1.73193 + 0.165379i 0.108458 + 0.0103564i
\(256\) 0.878815 3.62253i 0.0549260 0.226408i
\(257\) 24.3472 + 4.69254i 1.51874 + 0.292713i 0.879352 0.476173i \(-0.157976\pi\)
0.639387 + 0.768885i \(0.279188\pi\)
\(258\) −5.67131 3.64473i −0.353080 0.226911i
\(259\) 2.88687 + 6.27228i 0.179382 + 0.389741i
\(260\) 0.372959 + 2.59399i 0.0231299 + 0.160872i
\(261\) 0.807858 + 3.33003i 0.0500051 + 0.206124i
\(262\) 0.675778 + 14.1863i 0.0417497 + 0.876435i
\(263\) −9.61888 7.56437i −0.593126 0.466439i 0.275913 0.961182i \(-0.411020\pi\)
−0.869039 + 0.494743i \(0.835262\pi\)
\(264\) 12.3884 1.18294i 0.762451 0.0728052i
\(265\) 0.337699 0.739457i 0.0207447 0.0454245i
\(266\) 21.7243 2.13918i 1.33200 0.131162i
\(267\) −7.49062 + 4.81393i −0.458418 + 0.294607i
\(268\) 0.0287111 + 0.118349i 0.00175381 + 0.00722931i
\(269\) −14.0523 5.62569i −0.856784 0.343004i −0.0986647 0.995121i \(-0.531457\pi\)
−0.758119 + 0.652116i \(0.773881\pi\)
\(270\) 3.55123 0.684443i 0.216121 0.0416539i
\(271\) −1.49206 + 31.3222i −0.0906363 + 1.90269i 0.259113 + 0.965847i \(0.416570\pi\)
−0.349749 + 0.936844i \(0.613733\pi\)
\(272\) 1.98364 2.28924i 0.120276 0.138806i
\(273\) −9.05498 15.5772i −0.548032 0.942778i
\(274\) 7.82548 + 17.1354i 0.472755 + 1.03519i
\(275\) −2.44985 4.24327i −0.147732 0.255879i
\(276\) −0.572708 0.483214i −0.0344730 0.0290861i
\(277\) −11.9936 + 20.7734i −0.720623 + 1.24816i 0.240128 + 0.970741i \(0.422811\pi\)
−0.960750 + 0.277414i \(0.910523\pi\)
\(278\) 3.70483 5.20270i 0.222201 0.312037i
\(279\) −6.69886 + 1.96696i −0.401051 + 0.117759i
\(280\) 14.8133 9.58184i 0.885261 0.572624i
\(281\) −10.5677 6.79145i −0.630417 0.405144i 0.186047 0.982541i \(-0.440432\pi\)
−0.816464 + 0.577397i \(0.804069\pi\)
\(282\) 5.37761 15.5376i 0.320232 0.925250i
\(283\) 4.36285 + 1.74662i 0.259345 + 0.103826i 0.497691 0.867354i \(-0.334181\pi\)
−0.238347 + 0.971180i \(0.576605\pi\)
\(284\) −0.204923 + 0.195394i −0.0121600 + 0.0115945i
\(285\) 12.3002 + 6.34121i 0.728603 + 0.375621i
\(286\) −6.54163 + 45.4980i −0.386815 + 2.69036i
\(287\) 2.05360 + 5.87728i 0.121220 + 0.346925i
\(288\) 0.366348 0.802191i 0.0215873 0.0472696i
\(289\) −15.3190 + 6.13280i −0.901117 + 0.360753i
\(290\) −0.589667 12.3786i −0.0346265 0.726899i
\(291\) 6.96485 6.64097i 0.408287 0.389300i
\(292\) −0.243733 + 0.191674i −0.0142634 + 0.0112169i
\(293\) −10.0228 11.5669i −0.585538 0.675747i 0.383248 0.923645i \(-0.374805\pi\)
−0.968786 + 0.247899i \(0.920260\pi\)
\(294\) 5.91279 8.40803i 0.344841 0.490366i
\(295\) −22.3014 + 25.7372i −1.29844 + 1.49848i
\(296\) 5.11364 + 4.87585i 0.297224 + 0.283403i
\(297\) 4.57574 + 0.436930i 0.265512 + 0.0253533i
\(298\) −5.46602 + 9.46742i −0.316638 + 0.548433i
\(299\) −26.3527 + 19.2930i −1.52402 + 1.11574i
\(300\) −0.166550 −0.00961577
\(301\) −11.2898 4.48113i −0.650736 0.258288i
\(302\) −19.4679 + 5.71628i −1.12025 + 0.328935i
\(303\) −15.5402 2.99512i −0.892760 0.172065i
\(304\) 21.4154 11.0404i 1.22826 0.633211i
\(305\) −28.1948 + 5.43410i −1.61443 + 0.311155i
\(306\) 0.815365 0.641210i 0.0466113 0.0366556i
\(307\) 25.4919 + 7.48510i 1.45490 + 0.427197i 0.911159 0.412055i \(-0.135189\pi\)
0.543742 + 0.839253i \(0.317007\pi\)
\(308\) −1.82160 + 0.540718i −0.103795 + 0.0308103i
\(309\) 0.878739 6.11176i 0.0499897 0.347686i
\(310\) 25.1355 2.40015i 1.42760 0.136319i
\(311\) 9.87360 + 13.8655i 0.559880 + 0.786242i 0.993375 0.114914i \(-0.0366593\pi\)
−0.433495 + 0.901156i \(0.642720\pi\)
\(312\) −14.4930 11.3974i −0.820504 0.645252i
\(313\) −18.3497 9.45991i −1.03718 0.534706i −0.146445 0.989219i \(-0.546783\pi\)
−0.890740 + 0.454513i \(0.849813\pi\)
\(314\) −18.6334 5.47125i −1.05154 0.308761i
\(315\) 6.04231 2.43971i 0.340446 0.137462i
\(316\) −0.148378 0.171237i −0.00834690 0.00963284i
\(317\) −0.111873 + 2.34850i −0.00628340 + 0.131905i 0.993546 + 0.113430i \(0.0361839\pi\)
−0.999829 + 0.0184743i \(0.994119\pi\)
\(318\) −0.158520 0.458014i −0.00888937 0.0256842i
\(319\) 3.71336 15.3067i 0.207908 0.857010i
\(320\) 10.4021 14.6077i 0.581496 0.816597i
\(321\) 11.7808 0.657538
\(322\) −16.2838 9.05498i −0.907462 0.504614i
\(323\) 3.96912 0.220848
\(324\) 0.0906313 0.127274i 0.00503507 0.00707077i
\(325\) −1.71143 + 7.05462i −0.0949332 + 0.391320i
\(326\) −10.0857 29.1406i −0.558593 1.61395i
\(327\) 0.326382 6.85161i 0.0180490 0.378895i
\(328\) 4.17198 + 4.81472i 0.230359 + 0.265848i
\(329\) 4.12939 29.3353i 0.227661 1.61731i
\(330\) −15.9505 4.68347i −0.878043 0.257817i
\(331\) 25.7545 + 13.2774i 1.41560 + 0.729791i 0.984968 0.172738i \(-0.0552615\pi\)
0.430629 + 0.902529i \(0.358292\pi\)
\(332\) −0.272109 0.213989i −0.0149339 0.0117442i
\(333\) 1.51380 + 2.12584i 0.0829559 + 0.116495i
\(334\) −2.22848 + 0.212794i −0.121937 + 0.0116436i
\(335\) −0.273196 + 1.90012i −0.0149263 + 0.103815i
\(336\) 2.64216 11.0332i 0.144141 0.601912i
\(337\) 12.0260 + 3.53116i 0.655099 + 0.192354i 0.592357 0.805675i \(-0.298197\pi\)
0.0627416 + 0.998030i \(0.480016\pi\)
\(338\) 38.5262 30.2973i 2.09555 1.64796i
\(339\) −0.199002 + 0.0383545i −0.0108083 + 0.00208313i
\(340\) −0.241618 + 0.124563i −0.0131036 + 0.00675537i
\(341\) 31.5117 + 6.07338i 1.70645 + 0.328892i
\(342\) 7.91650 2.32449i 0.428075 0.125694i
\(343\) 7.54403 16.9141i 0.407339 0.913277i
\(344\) −12.4297 −0.670163
\(345\) −5.55006 10.4266i −0.298805 0.561349i
\(346\) −2.80271 + 4.85444i −0.150675 + 0.260976i
\(347\) 21.4719 + 2.05032i 1.15267 + 0.110067i 0.653841 0.756632i \(-0.273156\pi\)
0.498832 + 0.866699i \(0.333763\pi\)
\(348\) −0.387483 0.369465i −0.0207713 0.0198054i
\(349\) 4.32932 4.99630i 0.231743 0.267446i −0.627953 0.778251i \(-0.716107\pi\)
0.859697 + 0.510805i \(0.170653\pi\)
\(350\) −4.06412 + 0.795750i −0.217236 + 0.0425346i
\(351\) −4.45967 5.14674i −0.238040 0.274713i
\(352\) −3.18637 + 2.50579i −0.169834 + 0.133559i
\(353\) −11.8853 + 11.3326i −0.632588 + 0.603171i −0.936983 0.349374i \(-0.886394\pi\)
0.304395 + 0.952546i \(0.401546\pi\)
\(354\) 0.966105 + 20.2810i 0.0513479 + 1.07793i
\(355\) −4.14357 + 1.65883i −0.219918 + 0.0880418i
\(356\) 0.577937 1.26550i 0.0306306 0.0670716i
\(357\) 1.21973 1.41608i 0.0645551 0.0749467i
\(358\) 2.00006 13.9107i 0.105706 0.735205i
\(359\) −30.6740 15.8135i −1.61891 0.834607i −0.998742 0.0501387i \(-0.984034\pi\)
−0.620169 0.784468i \(-0.712936\pi\)
\(360\) 4.82593 4.60151i 0.254349 0.242521i
\(361\) 11.6703 + 4.67208i 0.614226 + 0.245899i
\(362\) −9.62510 + 27.8099i −0.505884 + 1.46166i
\(363\) −8.52049 5.47579i −0.447210 0.287404i
\(364\) 2.50606 + 1.28261i 0.131353 + 0.0672269i
\(365\) −4.68972 + 1.37703i −0.245471 + 0.0720768i
\(366\) −9.93022 + 13.9450i −0.519061 + 0.728919i
\(367\) −14.3717 + 24.8925i −0.750196 + 1.29938i 0.197531 + 0.980297i \(0.436708\pi\)
−0.947727 + 0.319081i \(0.896626\pi\)
\(368\) −20.3923 2.65872i −1.06302 0.138595i
\(369\) 1.17655 + 2.03785i 0.0612488 + 0.106086i
\(370\) −3.92085 8.58545i −0.203835 0.446336i
\(371\) −0.438865 0.754978i −0.0227847 0.0391965i
\(372\) 0.714358 0.824413i 0.0370377 0.0427438i
\(373\) −1.09687 + 23.0261i −0.0567936 + 1.19225i 0.773085 + 0.634302i \(0.218712\pi\)
−0.829879 + 0.557943i \(0.811591\pi\)
\(374\) −4.68180 + 0.902343i −0.242090 + 0.0466591i
\(375\) 8.99517 + 3.60112i 0.464509 + 0.185961i
\(376\) −7.14698 29.4603i −0.368578 1.51930i
\(377\) −19.6312 + 12.6162i −1.01106 + 0.649769i
\(378\) 1.60347 3.53873i 0.0824736 0.182013i
\(379\) −9.24367 + 20.2408i −0.474815 + 1.03970i 0.509041 + 0.860742i \(0.330000\pi\)
−0.983857 + 0.178958i \(0.942727\pi\)
\(380\) −2.15243 + 0.205532i −0.110417 + 0.0105436i
\(381\) 8.96349 + 7.04896i 0.459213 + 0.361129i
\(382\) −0.310241 6.51275i −0.0158733 0.333221i
\(383\) −1.03489 4.26588i −0.0528805 0.217976i 0.939241 0.343260i \(-0.111531\pi\)
−0.992121 + 0.125283i \(0.960016\pi\)
\(384\) −1.77261 12.3288i −0.0904583 0.629151i
\(385\) −29.8250 2.75908i −1.52002 0.140616i
\(386\) −13.2721 8.52943i −0.675530 0.434137i
\(387\) −4.50804 0.868853i −0.229156 0.0441663i
\(388\) −0.354493 + 1.46124i −0.0179967 + 0.0741833i
\(389\) 1.41876 + 0.135475i 0.0719341 + 0.00686887i 0.130961 0.991388i \(-0.458194\pi\)
−0.0590269 + 0.998256i \(0.518800\pi\)
\(390\) 12.3147 + 21.3296i 0.623577 + 1.08007i
\(391\) −2.78521 1.92864i −0.140854 0.0975356i
\(392\) 0.789929 18.9353i 0.0398974 0.956378i
\(393\) 4.01787 + 8.79790i 0.202675 + 0.443795i
\(394\) −1.35084 1.28803i −0.0680546 0.0648899i
\(395\) −1.16815 3.37516i −0.0587762 0.169823i
\(396\) −0.638354 + 0.329094i −0.0320785 + 0.0165376i
\(397\) −0.828026 + 2.39242i −0.0415574 + 0.120072i −0.963871 0.266371i \(-0.914175\pi\)
0.922313 + 0.386443i \(0.126297\pi\)
\(398\) −0.120958 0.841279i −0.00606306 0.0421695i
\(399\) 13.1932 6.85095i 0.660485 0.342976i
\(400\) −3.84527 + 2.47121i −0.192264 + 0.123560i
\(401\) −14.9118 + 5.96979i −0.744660 + 0.298117i −0.712792 0.701375i \(-0.752570\pi\)
−0.0318679 + 0.999492i \(0.510146\pi\)
\(402\) 0.663888 + 0.932300i 0.0331117 + 0.0464989i
\(403\) −27.5794 38.7298i −1.37383 1.92927i
\(404\) 2.29564 0.919035i 0.114212 0.0457237i
\(405\) 2.07194 1.33155i 0.102955 0.0661654i
\(406\) −11.2205 7.16426i −0.556865 0.355556i
\(407\) −1.70719 11.8738i −0.0846222 0.588561i
\(408\) 0.625520 1.80732i 0.0309679 0.0894758i
\(409\) 20.8202 10.7336i 1.02949 0.530740i 0.141182 0.989984i \(-0.454910\pi\)
0.888310 + 0.459244i \(0.151880\pi\)
\(410\) −2.78341 8.04214i −0.137463 0.397173i
\(411\) 9.28451 + 8.85276i 0.457971 + 0.436674i
\(412\) 0.400774 + 0.877572i 0.0197447 + 0.0432349i
\(413\) 8.72980 + 35.5264i 0.429565 + 1.74814i
\(414\) −6.68467 2.21558i −0.328534 0.108890i
\(415\) −2.72837 4.72567i −0.133930 0.231974i
\(416\) 5.97854 + 0.570882i 0.293122 + 0.0279898i
\(417\) 1.02545 4.22698i 0.0502167 0.206996i
\(418\) −37.2395 7.17733i −1.82144 0.351055i
\(419\) −1.25454 0.806245i −0.0612884 0.0393876i 0.509638 0.860389i \(-0.329779\pi\)
−0.570926 + 0.821001i \(0.693416\pi\)
\(420\) −0.588125 + 0.831090i −0.0286976 + 0.0405530i
\(421\) 2.90022 + 20.1715i 0.141348 + 0.983098i 0.929817 + 0.368023i \(0.119965\pi\)
−0.788468 + 0.615075i \(0.789126\pi\)
\(422\) 6.66240 + 27.4628i 0.324320 + 1.33687i
\(423\) −0.532776 11.1843i −0.0259044 0.543801i
\(424\) −0.702428 0.552395i −0.0341129 0.0268267i
\(425\) −0.749579 + 0.0715761i −0.0363599 + 0.00347195i
\(426\) −1.10544 + 2.42058i −0.0535589 + 0.117278i
\(427\) −12.7307 + 28.0955i −0.616079 + 1.35964i
\(428\) −1.54849 + 0.995153i −0.0748490 + 0.0481025i
\(429\) 7.37998 + 30.4207i 0.356309 + 1.46872i
\(430\) 15.4144 + 6.17099i 0.743348 + 0.297592i
\(431\) −12.4538 + 2.40027i −0.599878 + 0.115617i −0.480145 0.877189i \(-0.659416\pi\)
−0.119733 + 0.992806i \(0.538204\pi\)
\(432\) 0.204035 4.28322i 0.00981664 0.206077i
\(433\) −14.8323 + 17.1174i −0.712795 + 0.822610i −0.990421 0.138080i \(-0.955907\pi\)
0.277626 + 0.960689i \(0.410452\pi\)
\(434\) 13.4927 23.5302i 0.647669 1.12949i
\(435\) −3.50589 7.67683i −0.168095 0.368076i
\(436\) 0.535873 + 0.928160i 0.0256637 + 0.0444508i
\(437\) −14.8654 22.4755i −0.711108 1.07515i
\(438\) −1.45705 + 2.52369i −0.0696206 + 0.120586i
\(439\) 17.3348 24.3434i 0.827347 1.16185i −0.157345 0.987544i \(-0.550293\pi\)
0.984692 0.174303i \(-0.0557672\pi\)
\(440\) −29.4087 + 8.63518i −1.40201 + 0.411666i
\(441\) 1.61010 6.81231i 0.0766715 0.324396i
\(442\) 5.94267 + 3.81912i 0.282664 + 0.181657i
\(443\) 10.4683 30.2461i 0.497363 1.43704i −0.365125 0.930958i \(-0.618974\pi\)
0.862488 0.506078i \(-0.168905\pi\)
\(444\) −0.378553 0.151550i −0.0179653 0.00719223i
\(445\) 15.8715 15.1335i 0.752383 0.717396i
\(446\) −20.5184 10.5780i −0.971573 0.500881i
\(447\) −1.05950 + 7.36900i −0.0501128 + 0.348542i
\(448\) −6.35444 18.1860i −0.300219 0.859207i
\(449\) 6.05455 13.2576i 0.285732 0.625666i −0.711280 0.702909i \(-0.751884\pi\)
0.997012 + 0.0772426i \(0.0246116\pi\)
\(450\) −1.45314 + 0.581748i −0.0685015 + 0.0274239i
\(451\) −0.514654 10.8039i −0.0242341 0.508737i
\(452\) 0.0229174 0.0218517i 0.00107794 0.00102782i
\(453\) −10.8612 + 8.54137i −0.510305 + 0.401309i
\(454\) −4.42357 5.10508i −0.207609 0.239593i
\(455\) 29.1593 + 33.4515i 1.36701 + 1.56823i
\(456\) 9.96193 11.4967i 0.466510 0.538382i
\(457\) −28.0835 26.7776i −1.31369 1.25260i −0.946597 0.322419i \(-0.895504\pi\)
−0.367094 0.930184i \(-0.619647\pi\)
\(458\) 15.0317 + 1.43535i 0.702383 + 0.0670695i
\(459\) 0.353200 0.611761i 0.0164860 0.0285546i
\(460\) 1.61027 + 0.901664i 0.0750794 + 0.0420403i
\(461\) 6.17373 0.287539 0.143770 0.989611i \(-0.454078\pi\)
0.143770 + 0.989611i \(0.454078\pi\)
\(462\) −14.0046 + 11.0804i −0.651553 + 0.515509i
\(463\) 24.2661 7.12518i 1.12774 0.331135i 0.335923 0.941889i \(-0.390952\pi\)
0.791820 + 0.610754i \(0.209134\pi\)
\(464\) −14.4281 2.78079i −0.669808 0.129095i
\(465\) 15.2838 7.87933i 0.708767 0.365395i
\(466\) −28.4772 + 5.48852i −1.31918 + 0.254251i
\(467\) 8.93320 7.02514i 0.413379 0.325085i −0.389717 0.920935i \(-0.627427\pi\)
0.803096 + 0.595850i \(0.203185\pi\)
\(468\) 1.02095 + 0.299777i 0.0471933 + 0.0138572i
\(469\) 1.49666 + 1.41864i 0.0691092 + 0.0655069i
\(470\) −5.76303 + 40.0828i −0.265829 + 1.84888i
\(471\) −13.1653 + 1.25713i −0.606623 + 0.0579255i
\(472\) 21.7148 + 30.4942i 0.999506 + 1.40361i
\(473\) 16.5879 + 13.0449i 0.762714 + 0.599805i
\(474\) −1.89270 0.975757i −0.0869348 0.0448180i
\(475\) −5.74674 1.68739i −0.263678 0.0774230i
\(476\) −0.0407045 + 0.289166i −0.00186569 + 0.0132539i
\(477\) −0.216146 0.249445i −0.00989663 0.0114213i
\(478\) 0.669448 14.0534i 0.0306199 0.642790i
\(479\) −13.0324 37.6546i −0.595465 1.72048i −0.688899 0.724857i \(-0.741906\pi\)
0.0934340 0.995625i \(-0.470216\pi\)
\(480\) −0.512071 + 2.11078i −0.0233727 + 0.0963436i
\(481\) −10.3092 + 14.4772i −0.470058 + 0.660104i
\(482\) −5.88467 −0.268039
\(483\) −12.5869 1.60327i −0.572723 0.0729512i
\(484\) 1.58251 0.0719321
\(485\) −13.7484 + 19.3069i −0.624283 + 0.876683i
\(486\) 0.346192 1.42702i 0.0157036 0.0647311i
\(487\) −8.95929 25.8862i −0.405984 1.17301i −0.943962 0.330055i \(-0.892933\pi\)
0.537978 0.842959i \(-0.319188\pi\)
\(488\) −1.50187 + 31.5282i −0.0679866 + 1.42721i
\(489\) −13.7520 15.8707i −0.621887 0.717696i
\(490\) −10.3805 + 23.0900i −0.468942 + 1.04310i
\(491\) 17.5096 + 5.14129i 0.790198 + 0.232023i 0.651837 0.758359i \(-0.273998\pi\)
0.138361 + 0.990382i \(0.455817\pi\)
\(492\) −0.326791 0.168472i −0.0147329 0.00759532i
\(493\) −1.90270 1.49630i −0.0856932 0.0673899i
\(494\) 32.5924 + 45.7696i 1.46640 + 2.05927i
\(495\) −11.2697 + 1.07612i −0.506534 + 0.0483681i
\(496\) 4.26061 29.6332i 0.191307 1.33057i
\(497\) −1.11661 + 4.66278i −0.0500867 + 0.209154i
\(498\) −3.12158 0.916579i −0.139881 0.0410729i
\(499\) −8.79653 + 6.91767i −0.393787 + 0.309677i −0.795346 0.606156i \(-0.792711\pi\)
0.401559 + 0.915833i \(0.368468\pi\)
\(500\) −1.48654 + 0.286507i −0.0664801 + 0.0128130i
\(501\) −1.35504 + 0.698572i −0.0605388 + 0.0312099i
\(502\) −40.1131 7.73116i −1.79033 0.345059i
\(503\) 34.8435 10.2310i 1.55360 0.456177i 0.611422 0.791304i \(-0.290598\pi\)
0.942173 + 0.335128i \(0.108779\pi\)
\(504\) −1.04035 7.08715i −0.0463410 0.315687i
\(505\) 38.9785 1.73452
\(506\) 22.6442 + 23.1316i 1.00666 + 1.02833i
\(507\) 16.6888 28.9059i 0.741176 1.28375i
\(508\) −1.77362 0.169361i −0.0786918 0.00751416i
\(509\) 3.60431 + 3.43670i 0.159758 + 0.152329i 0.765742 0.643148i \(-0.222372\pi\)
−0.605984 + 0.795477i \(0.707220\pi\)
\(510\) −1.67301 + 1.93076i −0.0740822 + 0.0854954i
\(511\) −1.70262 + 4.96682i −0.0753197 + 0.219719i
\(512\) −12.7288 14.6899i −0.562541 0.649207i
\(513\) 4.41666 3.47330i 0.195000 0.153350i
\(514\) −26.3510 + 25.1257i −1.16229 + 1.10825i
\(515\) 0.723604 + 15.1903i 0.0318858 + 0.669365i
\(516\) 0.665940 0.266602i 0.0293164 0.0117365i
\(517\) −21.3805 + 46.8167i −0.940312 + 2.05900i
\(518\) −9.96144 1.88941i −0.437681 0.0830161i
\(519\) −0.543263 + 3.77847i −0.0238466 + 0.165857i
\(520\) 40.3624 + 20.8083i 1.77001 + 0.912503i
\(521\) 22.7776 21.7184i 0.997905 0.951501i −0.000917854 1.00000i \(-0.500292\pi\)
0.998823 + 0.0484987i \(0.0154437\pi\)
\(522\) −4.67128 1.87010i −0.204456 0.0818520i
\(523\) 8.66077 25.0236i 0.378709 1.09421i −0.581168 0.813784i \(-0.697404\pi\)
0.959876 0.280423i \(-0.0904749\pi\)
\(524\) −1.27130 0.817014i −0.0555369 0.0356914i
\(525\) −2.36802 + 1.53174i −0.103349 + 0.0668505i
\(526\) 17.2410 5.06243i 0.751745 0.220732i
\(527\) 2.86076 4.01737i 0.124617 0.175000i
\(528\) −9.85520 + 17.0697i −0.428892 + 0.742863i
\(529\) −0.489747 + 22.9948i −0.0212933 + 0.999773i
\(530\) 0.596851 + 1.03378i 0.0259256 + 0.0449044i
\(531\) 5.74402 + 12.5776i 0.249269 + 0.545823i
\(532\) −1.15542 + 2.01497i −0.0500938 + 0.0873598i
\(533\) −10.4941 + 12.1108i −0.454549 + 0.524577i
\(534\) 0.622131 13.0601i 0.0269222 0.565167i
\(535\) −28.4907 + 5.49113i −1.23176 + 0.237402i
\(536\) 1.95906 + 0.784288i 0.0846184 + 0.0338761i
\(537\) −2.25638 9.30092i −0.0973699 0.401364i
\(538\) 18.6983 12.0167i 0.806143 0.518077i
\(539\) −20.9267 + 24.4410i −0.901378 + 1.05275i
\(540\) −0.159860 + 0.350044i −0.00687927 + 0.0150635i
\(541\) 10.3510 0.988403i 0.445025 0.0424948i 0.129862 0.991532i \(-0.458547\pi\)
0.315164 + 0.949037i \(0.397941\pi\)
\(542\) −36.1948 28.4639i −1.55470 1.22263i
\(543\) 0.953587 + 20.0183i 0.0409223 + 0.859065i
\(544\) 0.146870 + 0.605404i 0.00629698 + 0.0259565i
\(545\) 2.40428 + 16.7221i 0.102988 + 0.716296i
\(546\) 26.3452 + 2.43717i 1.12747 + 0.104301i
\(547\) 28.8700 + 18.5536i 1.23439 + 0.793295i 0.984569 0.174996i \(-0.0559913\pi\)
0.249823 + 0.968292i \(0.419628\pi\)
\(548\) −1.96819 0.379338i −0.0840770 0.0162045i
\(549\) −2.74857 + 11.3298i −0.117306 + 0.483543i
\(550\) 7.16222 + 0.683910i 0.305398 + 0.0291620i
\(551\) −9.62674 16.6740i −0.410113 0.710336i
\(552\) −12.5769 + 3.22684i −0.535307 + 0.137343i
\(553\) −3.68449 1.07005i −0.156681 0.0455034i
\(554\) −14.6322 32.0400i −0.621662 1.36125i
\(555\) −4.65187 4.43555i −0.197461 0.188279i
\(556\) 0.222277 + 0.642226i 0.00942663 + 0.0272365i
\(557\) −2.92172 + 1.50625i −0.123797 + 0.0638219i −0.519013 0.854767i \(-0.673700\pi\)
0.395215 + 0.918588i \(0.370670\pi\)
\(558\) 3.35310 9.68815i 0.141948 0.410132i
\(559\) −4.44951 30.9470i −0.188194 1.30892i
\(560\) −1.24711 + 27.9144i −0.0526999 + 1.17960i
\(561\) −2.73156 + 1.75547i −0.115327 + 0.0741159i
\(562\) 17.1247 6.85570i 0.722362 0.289190i
\(563\) −0.0654818 0.0919564i −0.00275973 0.00387550i 0.813194 0.581993i \(-0.197727\pi\)
−0.815954 + 0.578118i \(0.803788\pi\)
\(564\) 1.01480 + 1.42509i 0.0427308 + 0.0600070i
\(565\) 0.463391 0.185514i 0.0194950 0.00780462i
\(566\) −5.80533 + 3.73086i −0.244016 + 0.156820i
\(567\) 0.118084 2.64311i 0.00495907 0.111000i
\(568\) 0.698244 + 4.85639i 0.0292977 + 0.203770i
\(569\) −6.50629 + 18.7987i −0.272758 + 0.788082i 0.722550 + 0.691319i \(0.242970\pi\)
−0.995307 + 0.0967628i \(0.969151\pi\)
\(570\) −18.0619 + 9.31153i −0.756528 + 0.390017i
\(571\) 5.61866 + 16.2341i 0.235134 + 0.679374i 0.999405 + 0.0344798i \(0.0109775\pi\)
−0.764272 + 0.644894i \(0.776901\pi\)
\(572\) −3.53975 3.37515i −0.148005 0.141122i
\(573\) −1.84455 4.03899i −0.0770571 0.168731i
\(574\) −8.77921 2.54967i −0.366437 0.106421i
\(575\) 3.21268 + 3.97649i 0.133978 + 0.165831i
\(576\) −3.64059 6.30569i −0.151691 0.262737i
\(577\) 10.9368 + 1.04433i 0.455303 + 0.0434762i 0.320189 0.947354i \(-0.396254\pi\)
0.135115 + 0.990830i \(0.456860\pi\)
\(578\) 5.71252 23.5473i 0.237609 0.979439i
\(579\) −10.5497 2.03330i −0.438433 0.0845010i
\(580\) 1.10930 + 0.712906i 0.0460613 + 0.0296018i
\(581\) −5.83690 0.539965i −0.242155 0.0224015i
\(582\) 2.01109 + 13.9874i 0.0833624 + 0.579798i
\(583\) 0.357683 + 1.47439i 0.0148137 + 0.0610630i
\(584\) 0.255652 + 5.36680i 0.0105790 + 0.222080i
\(585\) 13.1843 + 10.3682i 0.545102 + 0.428673i
\(586\) 22.3727 2.13633i 0.924207 0.0882511i
\(587\) −8.92573 + 19.5446i −0.368404 + 0.806693i 0.631115 + 0.775689i \(0.282598\pi\)
−0.999519 + 0.0310036i \(0.990130\pi\)
\(588\) 0.363819 + 1.03143i 0.0150036 + 0.0425356i
\(589\) 33.0011 21.2085i 1.35979 0.873883i
\(590\) −11.7896 48.5975i −0.485371 2.00073i
\(591\) −1.18004 0.472418i −0.0485404 0.0194327i
\(592\) −10.9886 + 2.11788i −0.451628 + 0.0870441i
\(593\) 1.37130 28.7871i 0.0563124 1.18214i −0.777058 0.629429i \(-0.783289\pi\)
0.833371 0.552714i \(-0.186408\pi\)
\(594\) −4.42009 + 5.10105i −0.181358 + 0.209299i
\(595\) −2.28976 + 3.99318i −0.0938711 + 0.163704i
\(596\) −0.483216 1.05810i −0.0197933 0.0433413i
\(597\) −0.289404 0.501262i −0.0118445 0.0205153i
\(598\) −0.630757 47.9545i −0.0257936 1.96101i
\(599\) 6.51841 11.2902i 0.266335 0.461306i −0.701578 0.712593i \(-0.747521\pi\)
0.967913 + 0.251287i \(0.0808539\pi\)
\(600\) −1.67402 + 2.35083i −0.0683415 + 0.0959722i
\(601\) 3.84678 1.12952i 0.156914 0.0460740i −0.202332 0.979317i \(-0.564852\pi\)
0.359246 + 0.933243i \(0.383034\pi\)
\(602\) 14.9763 9.68733i 0.610390 0.394826i
\(603\) 0.655695 + 0.421390i 0.0267020 + 0.0171603i
\(604\) 0.706111 2.04017i 0.0287312 0.0830135i
\(605\) 23.1583 + 9.27120i 0.941521 + 0.376928i
\(606\) 16.8192 16.0370i 0.683232 0.651460i
\(607\) 38.0768 + 19.6300i 1.54549 + 0.796756i 0.999167 0.0408186i \(-0.0129966\pi\)
0.546324 + 0.837574i \(0.316027\pi\)
\(608\) −0.705188 + 4.90469i −0.0285991 + 0.198911i
\(609\) −8.90719 1.68945i −0.360938 0.0684601i
\(610\) 17.5154 38.3534i 0.709177 1.55288i
\(611\) 70.7908 28.3404i 2.86389 1.14653i
\(612\) 0.00525171 + 0.110247i 0.000212288 + 0.00445647i
\(613\) −24.6898 + 23.5417i −0.997213 + 0.950840i −0.998791 0.0491584i \(-0.984346\pi\)
0.00157836 + 0.999999i \(0.499498\pi\)
\(614\) −30.6663 + 24.1163i −1.23759 + 0.973253i
\(615\) −3.79524 4.37994i −0.153039 0.176616i
\(616\) −10.6770 + 31.1464i −0.430187 + 1.25492i
\(617\) −32.3238 + 37.3036i −1.30131 + 1.50179i −0.565122 + 0.825008i \(0.691171\pi\)
−0.736185 + 0.676780i \(0.763375\pi\)
\(618\) 6.56202 + 6.25688i 0.263963 + 0.251688i
\(619\) −25.7536 2.45917i −1.03513 0.0988425i −0.436364 0.899770i \(-0.643734\pi\)
−0.598761 + 0.800928i \(0.704340\pi\)
\(620\) −1.34334 + 2.32673i −0.0539499 + 0.0934439i
\(621\) −4.78698 + 0.291179i −0.192095 + 0.0116846i
\(622\) −24.9950 −1.00221
\(623\) −3.42152 23.3083i −0.137080 0.933826i
\(624\) 28.0194 8.22724i 1.12167 0.329353i
\(625\) −28.6659 5.52491i −1.14664 0.220996i
\(626\) 26.9450 13.8911i 1.07694 0.555200i
\(627\) −25.3603 + 4.88780i −1.01279 + 0.195200i
\(628\) 1.62428 1.27734i 0.0648157 0.0509716i
\(629\) −1.76885 0.519382i −0.0705288 0.0207091i
\(630\) −2.22841 + 9.30548i −0.0887818 + 0.370739i
\(631\) 0.920082 6.39931i 0.0366279 0.254752i −0.963278 0.268508i \(-0.913469\pi\)
0.999905 + 0.0137553i \(0.00437859\pi\)
\(632\) −3.90835 + 0.373202i −0.155466 + 0.0148452i
\(633\) 11.1631 + 15.6763i 0.443693 + 0.623079i
\(634\) −2.71383 2.13418i −0.107780 0.0847592i
\(635\) −24.9630 12.8693i −0.990625 0.510702i
\(636\) 0.0494819 + 0.0145292i 0.00196209 + 0.000576121i
\(637\) 47.4273 4.81162i 1.87914 0.190643i
\(638\) 15.1460 + 17.4794i 0.599635 + 0.692016i
\(639\) −0.0862277 + 1.81014i −0.00341111 + 0.0716081i
\(640\) 10.0335 + 28.9898i 0.396608 + 1.14592i
\(641\) 3.71462 15.3119i 0.146719 0.604783i −0.850208 0.526446i \(-0.823524\pi\)
0.996927 0.0783363i \(-0.0249608\pi\)
\(642\) −10.0344 + 14.0914i −0.396028 + 0.556143i
\(643\) −5.54484 −0.218667 −0.109333 0.994005i \(-0.534872\pi\)
−0.109333 + 0.994005i \(0.534872\pi\)
\(644\) 1.78988 0.852511i 0.0705311 0.0335936i
\(645\) 11.3073 0.445223
\(646\) −3.38075 + 4.74760i −0.133014 + 0.186792i
\(647\) −2.88111 + 11.8761i −0.113268 + 0.466898i 0.886721 + 0.462305i \(0.152977\pi\)
−0.999989 + 0.00459361i \(0.998538\pi\)
\(648\) −0.885503 2.55849i −0.0347859 0.100507i
\(649\) 3.02418 63.4854i 0.118710 2.49202i
\(650\) −6.98055 8.05598i −0.273800 0.315982i
\(651\) 2.57480 18.2914i 0.100914 0.716898i
\(652\) 3.14823 + 0.924403i 0.123294 + 0.0362024i
\(653\) 8.26061 + 4.25864i 0.323263 + 0.166653i 0.612218 0.790689i \(-0.290278\pi\)
−0.288955 + 0.957343i \(0.593308\pi\)
\(654\) 7.91745 + 6.22636i 0.309597 + 0.243470i
\(655\) −13.8176 19.4041i −0.539899 0.758182i
\(656\) −10.0446 + 0.959143i −0.392176 + 0.0374482i
\(657\) −0.282427 + 1.96432i −0.0110185 + 0.0766355i
\(658\) 31.5718 + 29.9261i 1.23080 + 1.16664i
\(659\) 30.7902 + 9.04081i 1.19941 + 0.352180i 0.819629 0.572895i \(-0.194180\pi\)
0.379786 + 0.925075i \(0.375998\pi\)
\(660\) 1.39041 1.09343i 0.0541214 0.0425616i
\(661\) 23.0548 4.44345i 0.896728 0.172830i 0.279994 0.960002i \(-0.409667\pi\)
0.616734 + 0.787172i \(0.288455\pi\)
\(662\) −37.8184 + 19.4967i −1.46985 + 0.757761i
\(663\) 4.72373 + 0.910425i 0.183455 + 0.0353580i
\(664\) −5.75543 + 1.68995i −0.223354 + 0.0655826i
\(665\) −28.7132 + 22.7178i −1.11345 + 0.880960i
\(666\) −3.83220 −0.148495
\(667\) −1.34681 + 16.3782i −0.0521488 + 0.634168i
\(668\) 0.119099 0.206286i 0.00460808 0.00798144i
\(669\) −15.6495 1.49435i −0.605046 0.0577749i
\(670\) −2.04010 1.94524i −0.0788161 0.0751510i
\(671\) 35.0930 40.4995i 1.35475 1.56347i
\(672\) 1.53315 + 1.75883i 0.0591427 + 0.0678484i
\(673\) 30.7269 + 35.4608i 1.18444 + 1.36691i 0.914778 + 0.403957i \(0.132365\pi\)
0.269659 + 0.962956i \(0.413089\pi\)
\(674\) −14.4671 + 11.3770i −0.557251 + 0.438227i
\(675\) −0.771465 + 0.735590i −0.0296937 + 0.0283129i
\(676\) 0.248144 + 5.20919i 0.00954402 + 0.200354i
\(677\) 33.9024 13.5725i 1.30298 0.521633i 0.386709 0.922202i \(-0.373612\pi\)
0.916267 + 0.400569i \(0.131187\pi\)
\(678\) 0.123626 0.270703i 0.00474782 0.0103963i
\(679\) 8.39862 + 24.0363i 0.322309 + 0.922429i
\(680\) −0.670352 + 4.66240i −0.0257068 + 0.178795i
\(681\) −4.08881 2.10793i −0.156683 0.0807759i
\(682\) −34.1052 + 32.5192i −1.30595 + 1.24522i
\(683\) 35.0989 + 14.0515i 1.34302 + 0.537664i 0.928147 0.372215i \(-0.121401\pi\)
0.414874 + 0.909879i \(0.363826\pi\)
\(684\) −0.287136 + 0.829625i −0.0109789 + 0.0317215i
\(685\) −26.5801 17.0820i −1.01557 0.652669i
\(686\) 13.8059 + 23.4305i 0.527110 + 0.894582i
\(687\) 9.86667 2.89712i 0.376437 0.110532i
\(688\) 11.4193 16.0362i 0.435358 0.611375i
\(689\) 1.12388 1.94663i 0.0428166 0.0741605i
\(690\) 17.1990 + 2.24238i 0.654753 + 0.0853658i
\(691\) −15.2218 26.3650i −0.579066 1.00297i −0.995587 0.0938459i \(-0.970084\pi\)
0.416520 0.909126i \(-0.363249\pi\)
\(692\) −0.247770 0.542541i −0.00941881 0.0206243i
\(693\) −6.04954 + 10.5499i −0.229803 + 0.400759i
\(694\) −20.7415 + 23.9370i −0.787336 + 0.908634i
\(695\) −0.509729 + 10.7005i −0.0193351 + 0.405895i
\(696\) −9.10959 + 1.75573i −0.345298 + 0.0665508i
\(697\) −1.54316 0.617790i −0.0584515 0.0234005i
\(698\) 2.28870 + 9.43413i 0.0866284 + 0.357087i
\(699\) −16.6148 + 10.6777i −0.628429 + 0.403867i
\(700\) 0.181868 0.401368i 0.00687396 0.0151703i
\(701\) 12.0700 26.4297i 0.455879 0.998235i −0.532529 0.846412i \(-0.678758\pi\)
0.988408 0.151824i \(-0.0485145\pi\)
\(702\) 9.95479 0.950568i 0.375719 0.0358769i
\(703\) −11.5264 9.06445i −0.434726 0.341872i
\(704\) 1.59249 + 33.4305i 0.0600192 + 1.25996i
\(705\) 6.50160 + 26.7999i 0.244864 + 1.00934i
\(706\) −3.43185 23.8691i −0.129159 0.898324i
\(707\) 24.1874 34.1796i 0.909660 1.28546i
\(708\) −1.81747 1.16802i −0.0683048 0.0438968i
\(709\) 9.60276 + 1.85078i 0.360639 + 0.0695075i 0.366352 0.930476i \(-0.380606\pi\)
−0.00571315 + 0.999984i \(0.501819\pi\)
\(710\) 1.54515 6.36921i 0.0579886 0.239032i
\(711\) −1.44358 0.137845i −0.0541385 0.00516960i
\(712\) −12.0535 20.8773i −0.451724 0.782408i
\(713\) −33.4631 1.15317i −1.25320 0.0431866i
\(714\) 0.654894 + 2.66513i 0.0245088 + 0.0997400i
\(715\) −32.0272 70.1297i −1.19775 2.62270i
\(716\) 1.08226 + 1.03193i 0.0404458 + 0.0385650i
\(717\) −3.13375 9.05437i −0.117032 0.338142i
\(718\) 45.0422 23.2209i 1.68096 0.866595i
\(719\) 3.81840 11.0325i 0.142402 0.411444i −0.851136 0.524946i \(-0.824085\pi\)
0.993538 + 0.113502i \(0.0362067\pi\)
\(720\) 1.50301 + 10.4537i 0.0560139 + 0.389585i
\(721\) 13.7692 + 8.79154i 0.512790 + 0.327414i
\(722\) −15.5288 + 9.97974i −0.577921 + 0.371407i
\(723\) −3.72043 + 1.48943i −0.138364 + 0.0553927i
\(724\) −1.81634 2.55069i −0.0675036 0.0947956i
\(725\) 2.11872 + 2.97533i 0.0786875 + 0.110501i
\(726\) 13.8072 5.52759i 0.512435 0.205148i
\(727\) 2.40682 1.54677i 0.0892640 0.0573665i −0.495247 0.868752i \(-0.664923\pi\)
0.584511 + 0.811386i \(0.301286\pi\)
\(728\) 43.2925 22.4809i 1.60453 0.833199i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 2.34743 6.78245i 0.0868822 0.251030i
\(731\) 2.88257 1.48607i 0.106616 0.0549643i
\(732\) −0.595778 1.72139i −0.0220206 0.0636243i
\(733\) 7.01951 + 6.69309i 0.259272 + 0.247215i 0.808554 0.588422i \(-0.200250\pi\)
−0.549283 + 0.835637i \(0.685099\pi\)
\(734\) −17.5335 38.3930i −0.647174 1.41711i
\(735\) −0.718597 + 17.2254i −0.0265058 + 0.635369i
\(736\) 2.87809 3.09906i 0.106088 0.114233i
\(737\) −1.79134 3.10269i −0.0659848 0.114289i
\(738\) −3.43969 0.328450i −0.126617 0.0120904i
\(739\) −6.47195 + 26.6777i −0.238074 + 0.981356i 0.719803 + 0.694178i \(0.244232\pi\)
−0.957877 + 0.287177i \(0.907283\pi\)
\(740\) 0.986134 + 0.190062i 0.0362510 + 0.00698681i
\(741\) 32.1902 + 20.6874i 1.18254 + 0.759970i
\(742\) 1.27687 + 0.118121i 0.0468752 + 0.00433637i
\(743\) 2.25775 + 15.7030i 0.0828290 + 0.576088i 0.988398 + 0.151888i \(0.0485354\pi\)
−0.905569 + 0.424200i \(0.860555\pi\)
\(744\) −4.45635 18.3693i −0.163378 0.673453i
\(745\) −0.872455 18.3151i −0.0319643 0.671013i
\(746\) −26.6081 20.9248i −0.974190 0.766112i
\(747\) −2.20553 + 0.210602i −0.0806961 + 0.00770554i
\(748\) 0.210753 0.461484i 0.00770589 0.0168735i
\(749\) −12.8643 + 28.3904i −0.470050 + 1.03736i
\(750\) −11.9692 + 7.69214i −0.437053 + 0.280877i
\(751\) 1.18861 + 4.89952i 0.0433730 + 0.178786i 0.989378 0.145366i \(-0.0464361\pi\)
−0.946005 + 0.324152i \(0.894921\pi\)
\(752\) 44.5744 + 17.8449i 1.62546 + 0.650736i
\(753\) −27.3173 + 5.26497i −0.995496 + 0.191866i
\(754\) 1.63047 34.2277i 0.0593781 1.24650i
\(755\) 22.2857 25.7190i 0.811059 0.936012i
\(756\) 0.207750 + 0.357391i 0.00755579 + 0.0129982i
\(757\) −22.1702 48.5459i −0.805789 1.76443i −0.624539 0.780994i \(-0.714713\pi\)
−0.181250 0.983437i \(-0.558014\pi\)
\(758\) −16.3373 28.2971i −0.593399 1.02780i
\(759\) 20.1709 + 8.89302i 0.732158 + 0.322796i
\(760\) −18.7333 + 32.4470i −0.679528 + 1.17698i
\(761\) 11.0221 15.4784i 0.399552 0.561092i −0.564964 0.825115i \(-0.691110\pi\)
0.964516 + 0.264023i \(0.0850495\pi\)
\(762\) −16.0663 + 4.71749i −0.582021 + 0.170897i
\(763\) 16.1553 + 8.26831i 0.584860 + 0.299333i
\(764\) 0.583636 + 0.375080i 0.0211152 + 0.0135699i
\(765\) −0.569035 + 1.64412i −0.0205735 + 0.0594432i
\(766\) 5.98406 + 2.39565i 0.216213 + 0.0865585i
\(767\) −68.1501 + 64.9810i −2.46076 + 2.34633i
\(768\) 3.31322 + 1.70809i 0.119556 + 0.0616352i
\(769\) 6.11856 42.5555i 0.220641 1.53459i −0.514983 0.857201i \(-0.672202\pi\)
0.735624 0.677391i \(-0.236889\pi\)
\(770\) 28.7041 33.3247i 1.03443 1.20094i
\(771\) −10.3003 + 22.5546i −0.370958 + 0.812284i
\(772\) 1.55844 0.623905i 0.0560894 0.0224548i