Properties

Label 483.2.y.a.121.6
Level $483$
Weight $2$
Character 483.121
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 121.6
Character \(\chi\) \(=\) 483.121
Dual form 483.2.y.a.4.6

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{9}{11}\right)\)

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 0.395053 0.918658i \(-0.370726\pi\)
−0.997342 + 0.0728621i \(0.976787\pi\)
\(3\) −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 0.859946 + 0.510385i \(0.170497\pi\)
−0.807537 + 0.589817i \(0.799200\pi\)
\(6\) −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 −0.185338 0.982675i \(-0.559338\pi\)
0.989247 0.146257i \(-0.0467227\pi\)
\(12\) 0.155538 + 0.0148521i 0.0448999 + 0.00428742i
\(13\) 0.969180 + 6.74079i 0.268802 + 1.86956i 0.459875 + 0.887984i \(0.347894\pi\)
−0.191073 + 0.981576i \(0.561197\pi\)
\(14\) 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 0.272671 0.962107i \(-0.412093\pi\)
−0.104440 + 0.994531i \(0.533305\pi\)
\(18\) 1.30518 + 0.672867i 0.307634 + 0.158596i
\(19\) 5.51725 1.06336i 1.26574 0.243952i 0.488172 0.872747i \(-0.337664\pi\)
0.777571 + 0.628795i \(0.216452\pi\)
\(20\) −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 −0.924827 0.380389i \(-0.875790\pi\)
0.508133 + 0.861278i \(0.330336\pi\)
\(30\) −2.84283 2.23562i −0.519027 0.408167i
\(31\) 5.05287 + 4.81790i 0.907523 + 0.865321i 0.991361 0.131158i \(-0.0418696\pi\)
−0.0838387 + 0.996479i \(0.526718\pi\)
\(32\) 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 −0.638232 0.769844i \(-0.720334\pi\)
0.256886 + 0.966442i \(0.417304\pi\)
\(38\) −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 −0.686013 0.727589i \(-0.740641\pi\)
0.376858 + 0.926271i \(0.377004\pi\)
\(42\) 0.196319 3.88010i 0.0302927 0.598712i
\(43\) 4.40504 + 1.29344i 0.671762 + 0.197247i 0.599787 0.800159i \(-0.295252\pi\)
0.0719743 + 0.997406i \(0.477070\pi\)
\(44\) 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 −0.0915274 0.995803i \(-0.529175\pi\)
0.908154 0.418636i \(-0.137492\pi\)
\(48\) 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 −0.350522 0.936555i \(-0.613996\pi\)
0.392612 + 0.919704i \(0.371572\pi\)
\(54\) 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 −0.438148 + 0.898903i \(0.644365\pi\)
−0.976861 + 0.213873i \(0.931392\pi\)
\(60\) −0.0183104 + 0.384383i −0.00236387 + 0.0496237i
\(61\) −2.74857 + 11.3298i −0.351919 + 1.45063i 0.470830 + 0.882224i \(0.343954\pi\)
−0.822749 + 0.568405i \(0.807561\pi\)
\(62\) 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 −0.142344 0.989817i \(-0.545464\pi\)
0.0475528 + 0.998869i \(0.484858\pi\)
\(68\) −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 −0.949029 0.315190i \(-0.897932\pi\)
0.859686 + 0.510823i \(0.170659\pi\)
\(72\) 1.95944 1.86832i 0.230922 0.220184i
\(73\) −0.649073 + 1.87537i −0.0759683 + 0.219496i −0.976591 0.215107i \(-0.930990\pi\)
0.900622 + 0.434603i \(0.143111\pi\)
\(74\) 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 0.446157 0.894955i \(-0.352792\pi\)
−0.294690 + 0.955593i \(0.595216\pi\)
\(80\) −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 0.638921 0.769272i \(-0.279381\pi\)
−0.434337 + 0.900750i \(0.643017\pi\)
\(84\) −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 −0.266861 0.963735i \(-0.585986\pi\)
0.949946 + 0.312415i \(0.101138\pi\)
\(90\) −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 −0.882728 0.469885i \(-0.844295\pi\)
0.0607243 + 0.998155i \(0.480659\pi\)
\(98\) −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 −0.578302 0.815823i \(-0.696284\pi\)
0.653232 0.757157i \(-0.273412\pi\)
\(102\) −0.815365 + 0.641210i −0.0807332 + 0.0634893i
\(103\) −6.14665 0.586934i −0.605648 0.0578323i −0.212273 0.977210i \(-0.568087\pi\)
−0.393375 + 0.919378i \(0.628693\pi\)
\(104\) −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 0.664606 + 0.747194i \(0.268599\pi\)
−0.933110 + 0.359592i \(0.882916\pi\)
\(108\) −0.145053 + 0.0580706i −0.0139578 + 0.00558784i
\(109\) −6.73542 1.29815i −0.645136 0.124340i −0.143820 0.989604i \(-0.545939\pi\)
−0.501316 + 0.865264i \(0.667151\pi\)
\(110\) −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 −0.905631 0.424067i \(-0.860602\pi\)
0.913551 + 0.406725i \(0.133329\pi\)
\(114\) −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 0.994796 + 0.101888i \(0.0324882\pi\)
−0.574451 + 0.818539i \(0.694785\pi\)
\(128\) −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 0.892394 0.451257i \(-0.149024\pi\)
−0.228147 + 0.973627i \(0.573267\pi\)
\(132\) 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 0.998411 + 0.0563564i \(0.0179483\pi\)
−0.450399 + 0.892827i \(0.648718\pi\)
\(138\) −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 0.394098 0.919069i \(-0.371057\pi\)
0.213041 + 0.977043i \(0.431663\pi\)
\(150\) 0.907940 1.27502i 0.0741330 0.104105i
\(151\) 10.8612 8.54137i 0.883875 0.695087i −0.0692710 0.997598i \(-0.522067\pi\)
0.953146 + 0.302511i \(0.0978249\pi\)
\(152\) −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 −0.630082 0.776529i \(-0.716979\pi\)
0.975296 0.220902i \(-0.0709002\pi\)
\(158\) −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 −0.940448 0.339939i \(-0.889594\pi\)
−0.0136520 0.999907i \(-0.504346\pi\)
\(164\) −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 −0.715807 0.698299i \(-0.753941\pi\)
0.793061 + 0.609142i \(0.208486\pi\)
\(168\) −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 0.238506 0.971141i \(-0.423342\pi\)
0.0504061 + 0.998729i \(0.483948\pi\)
\(174\) −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 0.110000 0.993932i \(-0.464915\pi\)
−0.745827 + 0.666140i \(0.767945\pi\)
\(180\) 0.377865 0.0728275i 0.0281644 0.00542824i
\(181\) 19.2292 + 5.64619i 1.42929 + 0.419678i 0.902637 0.430402i \(-0.141628\pi\)
0.526654 + 0.850080i \(0.323446\pi\)
\(182\) −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 0.483857 0.875147i \(-0.339235\pi\)
−0.736404 + 0.676542i \(0.763478\pi\)
\(192\) −5.26964 5.02459i −0.380303 0.362619i
\(193\) 0.511216 10.7317i 0.0367981 0.772487i −0.902770 0.430124i \(-0.858470\pi\)
0.939568 0.342363i \(-0.111227\pi\)
\(194\) 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 0.982362 0.186989i \(-0.0598728\pi\)
−0.995250 + 0.0973489i \(0.968964\pi\)
\(198\) 5.99933 3.09287i 0.426354 0.219801i
\(199\) −0.418903 0.399423i −0.0296952 0.0283143i 0.675086 0.737739i \(-0.264106\pi\)
−0.704781 + 0.709425i \(0.748955\pi\)
\(200\) 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 0.999949 + 0.0100638i \(0.00320345\pi\)
−0.132346 + 0.991204i \(0.542251\pi\)
\(212\) 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 −0.766692 0.642015i \(-0.778099\pi\)
0.916512 0.400007i \(-0.130992\pi\)
\(224\) 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 0.924429 0.381355i \(-0.124542\pi\)
−0.996412 + 0.0846363i \(0.973027\pi\)
\(228\) 0.873935 0.0834506i 0.0578777 0.00552665i
\(229\) −5.14161 + 8.90552i −0.339767 + 0.588494i −0.984389 0.176008i \(-0.943682\pi\)
0.644622 + 0.764502i \(0.277015\pi\)
\(230\) −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 −0.0580092 0.998316i \(-0.518475\pi\)
0.994425 + 0.105445i \(0.0336268\pi\)
\(234\) −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 0.253338 0.967378i \(-0.418472\pi\)
−0.774717 + 0.632308i \(0.782108\pi\)
\(240\) 9.80465 + 3.92519i 0.632888 + 0.253370i
\(241\) 2.32457 3.26441i 0.149739 0.210279i −0.732893 0.680344i \(-0.761830\pi\)
0.882632 + 0.470065i \(0.155770\pi\)
\(242\) −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 −0.0706888 0.997498i \(-0.522520\pi\)
0.800150 0.599799i \(-0.204753\pi\)
\(252\) 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 0.639387 0.768885i \(-0.279188\pi\)
0.879352 + 0.476173i \(0.157976\pi\)
\(258\) −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 −0.869039 0.494743i \(-0.835262\pi\)
0.275913 + 0.961182i \(0.411020\pi\)
\(264\) 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 −0.758119 0.652116i \(-0.773881\pi\)
−0.0986647 + 0.995121i \(0.531457\pi\)
\(270\) 3.55123 + 0.684443i 0.216121 + 0.0416539i
\(271\) −1.49206 31.3222i −0.0906363 1.90269i −0.349749 0.936844i \(-0.613733\pi\)
0.259113 0.965847i \(-0.416570\pi\)
\(272\) 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 −0.960750 0.277414i \(-0.910523\pi\)
0.240128 0.970741i \(-0.422811\pi\)
\(278\) 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 −0.816464 0.577397i \(-0.804069\pi\)
0.186047 + 0.982541i \(0.440432\pi\)
\(282\) 5.37761 + 15.5376i 0.320232 + 0.925250i
\(283\) 4.36285 1.74662i 0.259345 0.103826i −0.238347 0.971180i \(-0.576605\pi\)
0.497691 + 0.867354i \(0.334181\pi\)
\(284\) −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 −0.968786 0.247899i \(-0.920260\pi\)
0.383248 + 0.923645i \(0.374805\pi\)
\(294\) 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 0.543742 0.839253i \(-0.317007\pi\)
0.911159 + 0.412055i \(0.135189\pi\)
\(308\) −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 −0.433495 0.901156i \(-0.642720\pi\)
0.993375 + 0.114914i \(0.0366593\pi\)
\(312\) −14.4930 + 11.3974i −0.820504 + 0.645252i
\(313\) −18.3497 + 9.45991i −1.03718 + 0.534706i −0.890740 0.454513i \(-0.849813\pi\)
−0.146445 + 0.989219i \(0.546783\pi\)
\(314\) −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 −0.999829 0.0184743i \(-0.994119\pi\)
0.993546 0.113430i \(-0.0361839\pi\)
\(318\) −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 0.430629 0.902529i \(-0.358292\pi\)
0.984968 + 0.172738i \(0.0552615\pi\)
\(332\) −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 0.0627416 0.998030i \(-0.480016\pi\)
0.592357 + 0.805675i \(0.298197\pi\)
\(338\) 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 0.498832 0.866699i \(-0.333763\pi\)
0.653841 + 0.756632i \(0.273156\pi\)
\(348\) −0.387483 + 0.369465i −0.0207713 + 0.0198054i
\(349\) 4.32932 + 4.99630i 0.231743 + 0.267446i 0.859697 0.510805i \(-0.170653\pi\)
−0.627953 + 0.778251i \(0.716107\pi\)
\(350\) −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 0.304395 0.952546i \(-0.401546\pi\)
−0.936983 + 0.349374i \(0.886394\pi\)
\(354\) 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 −0.620169 + 0.784468i \(0.712936\pi\)
−0.998742 + 0.0501387i \(0.984034\pi\)
\(360\) 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 −0.947727 0.319081i \(-0.896626\pi\)
0.197531 0.980297i \(-0.436708\pi\)
\(368\) −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 −0.829879 0.557943i \(-0.811591\pi\)
0.773085 0.634302i \(-0.218712\pi\)
\(374\) −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 −0.983857 0.178958i \(-0.942727\pi\)
0.509041 0.860742i \(-0.330000\pi\)
\(380\) −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 −0.992121 0.125283i \(-0.960016\pi\)
0.939241 + 0.343260i \(0.111531\pi\)
\(384\) −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 −0.0590269 0.998256i \(-0.518800\pi\)
0.130961 + 0.991388i \(0.458194\pi\)
\(390\) 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 0.922313 0.386443i \(-0.126297\pi\)
−0.963871 + 0.266371i \(0.914175\pi\)
\(398\) −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 −0.0318679 0.999492i \(-0.510146\pi\)
−0.712792 + 0.701375i \(0.752570\pi\)
\(402\) 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 0.888310 0.459244i \(-0.151880\pi\)
0.141182 + 0.989984i \(0.454910\pi\)
\(410\) −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 −0.570926 0.821001i \(-0.693416\pi\)
0.509638 + 0.860389i \(0.329779\pi\)
\(420\) −0.588125 0.831090i −0.0286976 0.0405530i
\(421\) 2.90022 20.1715i 0.141348 0.983098i −0.788468 0.615075i \(-0.789126\pi\)
0.929817 0.368023i \(-0.119965\pi\)
\(422\) 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 −0.119733 0.992806i \(-0.538204\pi\)
−0.480145 + 0.877189i \(0.659416\pi\)
\(432\) 0.204035 + 4.28322i 0.00981664 + 0.206077i
\(433\) −14.8323 17.1174i −0.712795 0.822610i 0.277626 0.960689i \(-0.410452\pi\)
−0.990421 + 0.138080i \(0.955907\pi\)
\(434\) 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 0.984692 + 0.174303i \(0.0557672\pi\)
−0.157345 + 0.987544i \(0.550293\pi\)
\(440\) −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 0.862488 + 0.506078i \(0.168905\pi\)
−0.365125 + 0.930958i \(0.618974\pi\)
\(444\) −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 0.997012 0.0772426i \(-0.0246116\pi\)
−0.711280 + 0.702909i \(0.751884\pi\)
\(450\) −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 −0.367094 + 0.930184i \(0.619647\pi\)
−0.946597 + 0.322419i \(0.895504\pi\)
\(458\) 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 0.791820 0.610754i \(-0.209134\pi\)
0.335923 + 0.941889i \(0.390952\pi\)
\(464\) −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 0.803096 0.595850i \(-0.203185\pi\)
−0.389717 + 0.920935i \(0.627427\pi\)
\(468\) 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 0.0934340 + 0.995625i \(0.470216\pi\)
−0.688899 + 0.724857i \(0.741906\pi\)
\(480\) −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 0.537978 + 0.842959i \(0.319188\pi\)
−0.943962 + 0.330055i \(0.892933\pi\)
\(488\) −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 0.138361 0.990382i \(-0.455817\pi\)
0.651837 + 0.758359i \(0.273998\pi\)
\(492\) −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 0.401559 0.915833i \(-0.368468\pi\)
−0.795346 + 0.606156i \(0.792711\pi\)
\(500\) −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 0.942173 0.335128i \(-0.108779\pi\)
0.611422 + 0.791304i \(0.290598\pi\)
\(504\) −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 −0.605984 0.795477i \(-0.707220\pi\)
0.765742 + 0.643148i \(0.222372\pi\)
\(510\) −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 0.998823 0.0484987i \(-0.0154437\pi\)
−0.000917854 1.00000i \(0.500292\pi\)
\(522\) −4.67128 + 1.87010i −0.204456 + 0.0818520i
\(523\) 8.66077 + 25.0236i 0.378709 + 1.09421i 0.959876 + 0.280423i \(0.0904749\pi\)
−0.581168 + 0.813784i \(0.697404\pi\)
\(524\) −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 0.315164 0.949037i \(-0.397941\pi\)
0.129862 + 0.991532i \(0.458547\pi\)
\(542\) −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 0.249823 0.968292i \(-0.419628\pi\)
0.984569 + 0.174996i \(0.0559913\pi\)
\(548\) −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 0.395215 0.918588i \(-0.370670\pi\)
−0.519013 + 0.854767i \(0.673700\pi\)
\(558\) 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 −0.815954 0.578118i \(-0.803788\pi\)
0.813194 + 0.581993i \(0.197727\pi\)
\(564\) 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 −0.995307 0.0967628i \(-0.969151\pi\)
0.722550 0.691319i \(-0.242970\pi\)
\(570\) −18.0619 9.31153i −0.756528 0.390017i
\(571\) 5.61866 16.2341i 0.235134 0.679374i −0.764272 0.644894i \(-0.776901\pi\)
0.999405 0.0344798i \(-0.0109775\pi\)
\(572\) −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 0.135115 0.990830i \(-0.456860\pi\)
0.320189 + 0.947354i \(0.396254\pi\)
\(578\) 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 −0.999519 0.0310036i \(-0.990130\pi\)
0.631115 0.775689i \(-0.282598\pi\)
\(588\) 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 0.833371 + 0.552714i \(0.186408\pi\)
−0.777058 + 0.629429i \(0.783289\pi\)
\(594\) −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 0.967913 0.251287i \(-0.0808539\pi\)
−0.701578 + 0.712593i \(0.747521\pi\)
\(600\) −1.67402 2.35083i −0.0683415 0.0959722i
\(601\) 3.84678 + 1.12952i 0.156914 + 0.0460740i 0.359246 0.933243i \(-0.383034\pi\)
−0.202332 + 0.979317i \(0.564852\pi\)
\(602\) 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 0.546324 0.837574i \(-0.316027\pi\)
0.999167 + 0.0408186i \(0.0129966\pi\)
\(608\) −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 0.00157836 0.999999i \(-0.499498\pi\)
−0.998791 + 0.0491584i \(0.984346\pi\)
\(614\) −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 −0.736185 0.676780i \(-0.763375\pi\)
−0.565122 0.825008i \(-0.691171\pi\)
\(618\) 6.56202 6.25688i 0.263963 0.251688i
\(619\) −25.7536 + 2.45917i −1.03513 + 0.0988425i −0.598761 0.800928i \(-0.704340\pi\)
−0.436364 + 0.899770i \(0.643734\pi\)
\(620\) −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 0.999905 0.0137553i \(-0.00437859\pi\)
−0.963278 + 0.268508i \(0.913469\pi\)
\(632\) −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 0.996927 + 0.0783363i \(0.0249608\pi\)
−0.850208 + 0.526446i \(0.823524\pi\)
\(642\) −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 −0.999989 0.00459361i \(-0.998538\pi\)
0.886721 0.462305i \(-0.152977\pi\)
\(648\) −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 −0.288955 0.957343i \(-0.593308\pi\)
0.612218 + 0.790689i \(0.290278\pi\)
\(654\) 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 0.379786 0.925075i \(-0.375998\pi\)
0.819629 + 0.572895i \(0.194180\pi\)
\(660\) 1.39041 + 1.09343i 0.0541214 + 0.0425616i
\(661\) 23.0548 + 4.44345i 0.896728 + 0.172830i 0.616734 0.787172i \(-0.288455\pi\)
0.279994 + 0.960002i \(0.409667\pi\)
\(662\) −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 0.269659 0.962956i \(-0.413089\pi\)
0.914778 0.403957i \(-0.132365\pi\)
\(674\) −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 0.916267 0.400569i \(-0.131187\pi\)
0.386709 + 0.922202i \(0.373612\pi\)
\(678\) 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 0.414874 0.909879i \(-0.363826\pi\)
0.928147 + 0.372215i \(0.121401\pi\)
\(684\) −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 0.416520 + 0.909126i \(0.363249\pi\)
−0.995587 + 0.0938459i \(0.970084\pi\)
\(692\) −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 0.988408 + 0.151824i \(0.0485145\pi\)
−0.532529 + 0.846412i \(0.678758\pi\)
\(702\) 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 −0.00571315 0.999984i \(-0.501819\pi\)
0.366352 + 0.930476i \(0.380606\pi\)
\(710\) 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 0.993538 0.113502i \(-0.0362067\pi\)
−0.851136 + 0.524946i \(0.824085\pi\)
\(720\) 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 0.584511 0.811386i \(-0.301286\pi\)
−0.495247 + 0.868752i \(0.664923\pi\)
\(728\) 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 −0.549283 0.835637i \(-0.685099\pi\)
0.808554 + 0.588422i \(0.200250\pi\)
\(734\) −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 −0.957877 0.287177i \(-0.907283\pi\)
0.719803 0.694178i \(-0.244232\pi\)
\(740\) 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 −0.905569 0.424200i \(-0.860555\pi\)
0.988398 0.151888i \(-0.0485354\pi\)
\(744\) −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 −0.946005 0.324152i \(-0.894921\pi\)
0.989378 + 0.145366i \(0.0464361\pi\)
\(752\) 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 −0.181250 + 0.983437i \(0.558014\pi\)
−0.624539 + 0.780994i \(0.714713\pi\)
\(758\) −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 0.964516 0.264023i \(-0.0850495\pi\)
−0.564964 + 0.825115i \(0.691110\pi\)
\(762\) −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 0.735624 + 0.677391i \(0.236889\pi\)
−0.514983 + 0.857201i \(0.672202\pi\)
\(770\) 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