Properties

Label 605.2.s.b.16.11
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.11
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.00892359 + 0.00102389i) q^{2} +(-0.467498 - 0.339657i) q^{3} +(-1.94795 - 0.452975i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-0.00382399 - 0.00350963i) q^{6} +(1.06012 + 1.09083i) q^{7} +(-0.0338384 - 0.0120735i) q^{8} +(-0.823864 - 2.53559i) q^{9} +O(q^{10})\) \(q+(0.00892359 + 0.00102389i) q^{2} +(-0.467498 - 0.339657i) q^{3} +(-1.94795 - 0.452975i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-0.00382399 - 0.00350963i) q^{6} +(1.06012 + 1.09083i) q^{7} +(-0.0338384 - 0.0120735i) q^{8} +(-0.823864 - 2.53559i) q^{9} +(-0.00588205 + 0.00678825i) q^{10} +(-0.898752 + 3.19253i) q^{11} +(0.756804 + 0.873399i) q^{12} +(0.398934 - 0.661558i) q^{13} +(0.00834315 + 0.0108196i) q^{14} +(0.544254 - 0.194189i) q^{15} +(3.58916 + 1.76467i) q^{16} +(3.12830 - 2.55800i) q^{17} +(-0.00475566 - 0.0234701i) q^{18} +(5.99164 + 0.342614i) q^{19} +(1.47342 - 1.35230i) q^{20} +(-0.125093 - 0.870039i) q^{21} +(-0.0112889 + 0.0275686i) q^{22} +(0.897887 - 6.24494i) q^{23} +(0.0117185 + 0.0171378i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(0.00423728 - 0.00549501i) q^{26} +(-1.01178 + 3.11395i) q^{27} +(-1.57093 - 2.60509i) q^{28} +(1.00939 - 2.59260i) q^{29} +(0.00505552 - 0.00117561i) q^{30} +(1.31577 + 0.556050i) q^{31} +(0.0906702 + 0.0582702i) q^{32} +(1.50453 - 1.18723i) q^{33} +(0.0305348 - 0.0196235i) q^{34} +(-1.49883 + 0.259383i) q^{35} +(0.456281 + 5.31238i) q^{36} +(-0.326199 + 3.79787i) q^{37} +(0.0531161 + 0.00919210i) q^{38} +(-0.411204 + 0.173776i) q^{39} +(0.0290662 - 0.0211178i) q^{40} +(9.68335 - 5.46844i) q^{41} +(-0.000225455 - 0.00789195i) q^{42} +(6.28029 - 1.84406i) q^{43} +(3.19686 - 5.81176i) q^{44} +(2.55808 + 0.751121i) q^{45} +(0.0144065 - 0.0548079i) q^{46} +(-1.00434 + 4.95663i) q^{47} +(-1.07854 - 2.04406i) q^{48} +(0.133820 - 4.68432i) q^{49} +(-0.00228342 - 0.00868704i) q^{50} +(-2.33132 + 0.133310i) q^{51} +(-1.07677 + 1.10797i) q^{52} +(4.04193 - 1.98728i) q^{53} +(-0.0122171 + 0.0267516i) q^{54} +(-2.12805 - 2.54390i) q^{55} +(-0.0227025 - 0.0497114i) q^{56} +(-2.68471 - 2.19527i) q^{57} +(0.0116619 - 0.0221018i) q^{58} +(6.16460 + 3.48131i) q^{59} +(-1.14814 + 0.131737i) q^{60} +(-4.62829 + 0.531047i) q^{61} +(0.0111721 + 0.00630916i) q^{62} +(1.89252 - 3.58672i) q^{63} +(-6.19163 - 5.06287i) q^{64} +(0.320922 + 0.702721i) q^{65} +(0.0146414 - 0.00905392i) q^{66} +(-2.24379 + 4.91321i) q^{67} +(-7.25248 + 3.56580i) q^{68} +(-2.54090 + 2.61452i) q^{69} +(-0.0136405 + 0.000779992i) q^{70} +(-1.37069 - 5.21465i) q^{71} +(-0.00273528 + 0.0957473i) q^{72} +(7.44974 + 14.1188i) q^{73} +(-0.00679946 + 0.0335567i) q^{74} +(-0.146902 + 0.558875i) q^{75} +(-11.5162 - 3.38146i) q^{76} +(-4.43530 + 2.40406i) q^{77} +(-0.00384734 + 0.00112968i) q^{78} +(-0.193251 - 6.76466i) q^{79} +(-3.48256 + 1.96669i) q^{80} +(-4.94003 + 3.58914i) q^{81} +(0.0920093 - 0.0388834i) q^{82} +(-1.15317 - 0.199564i) q^{83} +(-0.150432 + 1.75145i) q^{84} +(0.345808 + 4.02617i) q^{85} +(0.0579308 - 0.0100253i) q^{86} +(-1.35248 + 0.869189i) q^{87} +(0.0689574 - 0.0971790i) q^{88} +(-9.75946 - 6.27202i) q^{89} +(0.0220582 + 0.00932188i) q^{90} +(1.14457 - 0.266158i) q^{91} +(-4.57784 + 11.7581i) q^{92} +(-0.426254 - 0.706864i) q^{93} +(-0.0140374 + 0.0432026i) q^{94} +(-3.66476 + 4.75254i) q^{95} +(-0.0225962 - 0.0580380i) q^{96} +(2.20585 + 3.22595i) q^{97} +(0.00599037 - 0.0416639i) q^{98} +(8.83540 - 0.351342i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.00892359 + 0.00102389i 0.00630993 + 0.000723997i 0.117146 0.993115i \(-0.462626\pi\)
−0.110836 + 0.993839i \(0.535353\pi\)
\(3\) −0.467498 0.339657i −0.269910 0.196101i 0.444594 0.895732i \(-0.353348\pi\)
−0.714505 + 0.699631i \(0.753348\pi\)
\(4\) −1.94795 0.452975i −0.973973 0.226488i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) −0.00382399 0.00350963i −0.00156114 0.00143280i
\(7\) 1.06012 + 1.09083i 0.400686 + 0.412297i 0.887206 0.461373i \(-0.152643\pi\)
−0.486520 + 0.873670i \(0.661734\pi\)
\(8\) −0.0338384 0.0120735i −0.0119637 0.00426863i
\(9\) −0.823864 2.53559i −0.274621 0.845197i
\(10\) −0.00588205 + 0.00678825i −0.00186007 + 0.00214663i
\(11\) −0.898752 + 3.19253i −0.270984 + 0.962584i
\(12\) 0.756804 + 0.873399i 0.218471 + 0.252128i
\(13\) 0.398934 0.661558i 0.110644 0.183483i −0.796098 0.605167i \(-0.793106\pi\)
0.906743 + 0.421684i \(0.138561\pi\)
\(14\) 0.00834315 + 0.0108196i 0.00222980 + 0.00289166i
\(15\) 0.544254 0.194189i 0.140526 0.0501395i
\(16\) 3.58916 + 1.76467i 0.897290 + 0.441168i
\(17\) 3.12830 2.55800i 0.758725 0.620407i −0.172433 0.985021i \(-0.555163\pi\)
0.931159 + 0.364615i \(0.118799\pi\)
\(18\) −0.00475566 0.0234701i −0.00112092 0.00553196i
\(19\) 5.99164 + 0.342614i 1.37458 + 0.0786011i 0.728695 0.684838i \(-0.240127\pi\)
0.645880 + 0.763439i \(0.276491\pi\)
\(20\) 1.47342 1.35230i 0.329467 0.302382i
\(21\) −0.125093 0.870039i −0.0272975 0.189858i
\(22\) −0.0112889 + 0.0275686i −0.00240680 + 0.00587765i
\(23\) 0.897887 6.24494i 0.187222 1.30216i −0.651937 0.758273i \(-0.726043\pi\)
0.839159 0.543886i \(-0.183048\pi\)
\(24\) 0.0117185 + 0.0171378i 0.00239204 + 0.00349824i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 0.00423728 0.00549501i 0.000830999 0.00107766i
\(27\) −1.01178 + 3.11395i −0.194718 + 0.599279i
\(28\) −1.57093 2.60509i −0.296878 0.492316i
\(29\) 1.00939 2.59260i 0.187439 0.481434i −0.806517 0.591211i \(-0.798650\pi\)
0.993956 + 0.109777i \(0.0350136\pi\)
\(30\) 0.00505552 0.00117561i 0.000923008 0.000214636i
\(31\) 1.31577 + 0.556050i 0.236320 + 0.0998695i 0.504214 0.863579i \(-0.331782\pi\)
−0.267894 + 0.963448i \(0.586328\pi\)
\(32\) 0.0906702 + 0.0582702i 0.0160284 + 0.0103008i
\(33\) 1.50453 1.18723i 0.261905 0.206671i
\(34\) 0.0305348 0.0196235i 0.00523668 0.00336541i
\(35\) −1.49883 + 0.259383i −0.253348 + 0.0438436i
\(36\) 0.456281 + 5.31238i 0.0760468 + 0.885397i
\(37\) −0.326199 + 3.79787i −0.0536269 + 0.624366i 0.919346 + 0.393449i \(0.128718\pi\)
−0.972973 + 0.230917i \(0.925827\pi\)
\(38\) 0.0531161 + 0.00919210i 0.00861657 + 0.00149116i
\(39\) −0.411204 + 0.173776i −0.0658453 + 0.0278264i
\(40\) 0.0290662 0.0211178i 0.00459577 0.00333902i
\(41\) 9.68335 5.46844i 1.51229 0.854027i 0.512297 0.858809i \(-0.328795\pi\)
0.999989 + 0.00478191i \(0.00152214\pi\)
\(42\) −0.000225455 0.00789195i −3.47884e−5 0.00121775i
\(43\) 6.28029 1.84406i 0.957735 0.281216i 0.234731 0.972060i \(-0.424579\pi\)
0.723004 + 0.690844i \(0.242761\pi\)
\(44\) 3.19686 5.81176i 0.481944 0.876156i
\(45\) 2.55808 + 0.751121i 0.381337 + 0.111971i
\(46\) 0.0144065 0.0548079i 0.00212412 0.00808099i
\(47\) −1.00434 + 4.95663i −0.146499 + 0.722999i 0.837728 + 0.546088i \(0.183883\pi\)
−0.984227 + 0.176912i \(0.943389\pi\)
\(48\) −1.07854 2.04406i −0.155674 0.295035i
\(49\) 0.133820 4.68432i 0.0191172 0.669189i
\(50\) −0.00228342 0.00868704i −0.000322925 0.00122853i
\(51\) −2.33132 + 0.133310i −0.326450 + 0.0186671i
\(52\) −1.07677 + 1.10797i −0.149321 + 0.153648i
\(53\) 4.04193 1.98728i 0.555202 0.272975i −0.141979 0.989870i \(-0.545346\pi\)
0.697181 + 0.716895i \(0.254437\pi\)
\(54\) −0.0122171 + 0.0267516i −0.00166253 + 0.00364043i
\(55\) −2.12805 2.54390i −0.286946 0.343019i
\(56\) −0.0227025 0.0497114i −0.00303374 0.00664297i
\(57\) −2.68471 2.19527i −0.355598 0.290771i
\(58\) 0.0116619 0.0221018i 0.00153129 0.00290211i
\(59\) 6.16460 + 3.48131i 0.802563 + 0.453228i 0.837684 0.546155i \(-0.183909\pi\)
−0.0351215 + 0.999383i \(0.511182\pi\)
\(60\) −1.14814 + 0.131737i −0.148224 + 0.0170071i
\(61\) −4.62829 + 0.531047i −0.592592 + 0.0679936i −0.405100 0.914273i \(-0.632763\pi\)
−0.187492 + 0.982266i \(0.560036\pi\)
\(62\) 0.0111721 + 0.00630916i 0.00141885 + 0.000801264i
\(63\) 1.89252 3.58672i 0.238435 0.451884i
\(64\) −6.19163 5.06287i −0.773954 0.632859i
\(65\) 0.320922 + 0.702721i 0.0398054 + 0.0871618i
\(66\) 0.0146414 0.00905392i 0.00180223 0.00111446i
\(67\) −2.24379 + 4.91321i −0.274122 + 0.600244i −0.995756 0.0920307i \(-0.970664\pi\)
0.721634 + 0.692275i \(0.243391\pi\)
\(68\) −7.25248 + 3.56580i −0.879492 + 0.432417i
\(69\) −2.54090 + 2.61452i −0.305888 + 0.314751i
\(70\) −0.0136405 0.000779992i −0.00163035 9.32269e-5i
\(71\) −1.37069 5.21465i −0.162671 0.618865i −0.997646 0.0685766i \(-0.978154\pi\)
0.834975 0.550288i \(-0.185482\pi\)
\(72\) −0.00273528 + 0.0957473i −0.000322356 + 0.0112839i
\(73\) 7.44974 + 14.1188i 0.871926 + 1.65248i 0.751472 + 0.659766i \(0.229344\pi\)
0.120455 + 0.992719i \(0.461565\pi\)
\(74\) −0.00679946 + 0.0335567i −0.000790421 + 0.00390088i
\(75\) −0.146902 + 0.558875i −0.0169628 + 0.0645333i
\(76\) −11.5162 3.38146i −1.32100 0.387880i
\(77\) −4.43530 + 2.40406i −0.505450 + 0.273969i
\(78\) −0.00384734 + 0.00112968i −0.000435625 + 0.000127911i
\(79\) −0.193251 6.76466i −0.0217424 0.761084i −0.935194 0.354136i \(-0.884775\pi\)
0.913451 0.406948i \(-0.133407\pi\)
\(80\) −3.48256 + 1.96669i −0.389362 + 0.219883i
\(81\) −4.94003 + 3.58914i −0.548892 + 0.398793i
\(82\) 0.0920093 0.0388834i 0.0101607 0.00429396i
\(83\) −1.15317 0.199564i −0.126577 0.0219050i 0.106882 0.994272i \(-0.465913\pi\)
−0.233459 + 0.972367i \(0.575004\pi\)
\(84\) −0.150432 + 1.75145i −0.0164135 + 0.191099i
\(85\) 0.345808 + 4.02617i 0.0375082 + 0.436700i
\(86\) 0.0579308 0.0100253i 0.00624684 0.00108106i
\(87\) −1.35248 + 0.869189i −0.145002 + 0.0931869i
\(88\) 0.0689574 0.0971790i 0.00735088 0.0103593i
\(89\) −9.75946 6.27202i −1.03450 0.664833i −0.0908799 0.995862i \(-0.528968\pi\)
−0.943621 + 0.331029i \(0.892604\pi\)
\(90\) 0.0220582 + 0.00932188i 0.00232514 + 0.000982613i
\(91\) 1.14457 0.266158i 0.119983 0.0279009i
\(92\) −4.57784 + 11.7581i −0.477272 + 1.22586i
\(93\) −0.426254 0.706864i −0.0442005 0.0732983i
\(94\) −0.0140374 + 0.0432026i −0.00144785 + 0.00445601i
\(95\) −3.66476 + 4.75254i −0.375996 + 0.487600i
\(96\) −0.0225962 0.0580380i −0.00230622 0.00592347i
\(97\) 2.20585 + 3.22595i 0.223970 + 0.327546i 0.921048 0.389450i \(-0.127335\pi\)
−0.697078 + 0.716996i \(0.745517\pi\)
\(98\) 0.00599037 0.0416639i 0.000605119 0.00420869i
\(99\) 8.83540 0.351342i 0.887991 0.0353112i
\(100\) 0.284618 + 1.97956i 0.0284618 + 0.197956i
\(101\) 3.33418 3.06008i 0.331763 0.304490i −0.492931 0.870068i \(-0.664074\pi\)
0.824694 + 0.565579i \(0.191347\pi\)
\(102\) −0.0209402 0.00119741i −0.00207339 0.000118561i
\(103\) 1.19984 + 5.92146i 0.118224 + 0.583459i 0.994770 + 0.102140i \(0.0325691\pi\)
−0.876546 + 0.481318i \(0.840158\pi\)
\(104\) −0.0214866 + 0.0175695i −0.00210694 + 0.00172283i
\(105\) 0.788800 + 0.387827i 0.0769790 + 0.0378480i
\(106\) 0.0381033 0.0135952i 0.00370092 0.00132049i
\(107\) 6.70715 + 8.69799i 0.648405 + 0.840867i 0.995280 0.0970447i \(-0.0309390\pi\)
−0.346875 + 0.937911i \(0.612757\pi\)
\(108\) 3.38144 5.60748i 0.325379 0.539580i
\(109\) −0.0394249 0.0454987i −0.00377622 0.00435799i 0.753858 0.657037i \(-0.228190\pi\)
−0.757635 + 0.652679i \(0.773645\pi\)
\(110\) −0.0163852 0.0248796i −0.00156227 0.00237217i
\(111\) 1.44247 1.66470i 0.136913 0.158006i
\(112\) 1.87996 + 5.78593i 0.177640 + 0.546719i
\(113\) −16.9541 6.04919i −1.59490 0.569060i −0.618645 0.785671i \(-0.712318\pi\)
−0.976258 + 0.216611i \(0.930500\pi\)
\(114\) −0.0217095 0.0223385i −0.00203328 0.00209220i
\(115\) 4.64821 + 4.26609i 0.433448 + 0.397815i
\(116\) −3.14063 + 4.59302i −0.291600 + 0.426451i
\(117\) −2.00611 0.466500i −0.185465 0.0431280i
\(118\) 0.0514459 + 0.0373776i 0.00473598 + 0.00344089i
\(119\) 6.10672 + 0.700681i 0.559802 + 0.0642313i
\(120\) −0.0207612 −0.00189523
\(121\) −9.38449 5.73858i −0.853136 0.521689i
\(122\) −0.0418447 −0.00378844
\(123\) −6.38434 0.732535i −0.575657 0.0660504i
\(124\) −2.31117 1.67917i −0.207550 0.150794i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 0.0205605 0.0300687i 0.00183167 0.00267873i
\(127\) −3.26730 2.99870i −0.289926 0.266092i 0.517993 0.855385i \(-0.326679\pi\)
−0.807920 + 0.589293i \(0.799406\pi\)
\(128\) −0.200299 0.206103i −0.0177041 0.0182171i
\(129\) −3.56237 1.27105i −0.313649 0.111910i
\(130\) 0.00214427 + 0.00659938i 0.000188065 + 0.000578804i
\(131\) −4.32758 + 4.99429i −0.378102 + 0.436353i −0.912623 0.408802i \(-0.865947\pi\)
0.534521 + 0.845155i \(0.320492\pi\)
\(132\) −3.46853 + 1.63115i −0.301897 + 0.141974i
\(133\) 5.97810 + 6.89909i 0.518367 + 0.598227i
\(134\) −0.0250532 + 0.0415461i −0.00216427 + 0.00358904i
\(135\) −1.99938 2.59284i −0.172079 0.223156i
\(136\) −0.136741 + 0.0487891i −0.0117254 + 0.00418363i
\(137\) 5.94157 + 2.92128i 0.507623 + 0.249581i 0.677017 0.735967i \(-0.263272\pi\)
−0.169395 + 0.985548i \(0.554181\pi\)
\(138\) −0.0253509 + 0.0207293i −0.00215801 + 0.00176460i
\(139\) −0.424099 2.09301i −0.0359716 0.177527i 0.958069 0.286538i \(-0.0925044\pi\)
−0.994041 + 0.109011i \(0.965232\pi\)
\(140\) 3.03713 + 0.173669i 0.256684 + 0.0146777i
\(141\) 2.15308 1.97608i 0.181322 0.166416i
\(142\) −0.00689227 0.0479368i −0.000578386 0.00402277i
\(143\) 1.75350 + 1.86818i 0.146635 + 0.156225i
\(144\) 1.51751 10.5545i 0.126459 0.879541i
\(145\) 1.57038 + 2.29660i 0.130413 + 0.190722i
\(146\) 0.0520224 + 0.133618i 0.00430540 + 0.0110583i
\(147\) −1.65362 + 2.14446i −0.136389 + 0.176872i
\(148\) 2.35576 7.25029i 0.193642 0.595970i
\(149\) −5.19828 8.62038i −0.425860 0.706209i 0.567231 0.823559i \(-0.308015\pi\)
−0.993091 + 0.117350i \(0.962560\pi\)
\(150\) −0.00188312 + 0.00483676i −0.000153756 + 0.000394920i
\(151\) 11.7563 2.73381i 0.956713 0.222474i 0.281057 0.959691i \(-0.409315\pi\)
0.675656 + 0.737217i \(0.263860\pi\)
\(152\) −0.198611 0.0839337i −0.0161095 0.00680792i
\(153\) −9.06334 5.82466i −0.732728 0.470896i
\(154\) −0.0420403 + 0.0169116i −0.00338770 + 0.00136278i
\(155\) −1.20168 + 0.772274i −0.0965214 + 0.0620306i
\(156\) 0.879719 0.152241i 0.0704339 0.0121891i
\(157\) 1.19971 + 13.9680i 0.0957476 + 1.11477i 0.873706 + 0.486453i \(0.161710\pi\)
−0.777959 + 0.628315i \(0.783745\pi\)
\(158\) 0.00520176 0.0605629i 0.000413829 0.00481813i
\(159\) −2.56459 0.443820i −0.203385 0.0351972i
\(160\) −0.0992786 + 0.0419555i −0.00784866 + 0.00331687i
\(161\) 7.76406 5.64092i 0.611893 0.444567i
\(162\) −0.0477577 + 0.0269700i −0.00375220 + 0.00211896i
\(163\) −0.284123 9.94559i −0.0222542 0.778999i −0.931711 0.363200i \(-0.881684\pi\)
0.909457 0.415798i \(-0.136498\pi\)
\(164\) −21.3397 + 6.26590i −1.66635 + 0.489285i
\(165\) 0.130806 + 1.91207i 0.0101833 + 0.148855i
\(166\) −0.0100861 0.00296154i −0.000782833 0.000229860i
\(167\) 5.98410 22.7659i 0.463064 1.76168i −0.167838 0.985815i \(-0.553679\pi\)
0.630902 0.775863i \(-0.282685\pi\)
\(168\) −0.00627150 + 0.0309511i −0.000483856 + 0.00238793i
\(169\) 5.78816 + 10.9698i 0.445243 + 0.843830i
\(170\) −0.00103649 + 0.0362820i −7.94954e−5 + 0.00278270i
\(171\) −4.06756 15.4746i −0.311054 1.18337i
\(172\) −13.0690 + 0.747311i −0.996500 + 0.0569819i
\(173\) −13.7427 + 14.1409i −1.04483 + 1.07511i −0.0477461 + 0.998860i \(0.515204\pi\)
−0.997089 + 0.0762501i \(0.975705\pi\)
\(174\) −0.0129590 + 0.00637150i −0.000982417 + 0.000483022i
\(175\) 0.631891 1.38365i 0.0477664 0.104594i
\(176\) −8.85953 + 9.87250i −0.667812 + 0.744167i
\(177\) −1.69949 3.72136i −0.127741 0.279714i
\(178\) −0.0806676 0.0659615i −0.00604629 0.00494403i
\(179\) 3.16447 5.99734i 0.236524 0.448262i −0.737301 0.675565i \(-0.763900\pi\)
0.973824 + 0.227303i \(0.0729907\pi\)
\(180\) −4.64277 2.62189i −0.346051 0.195424i
\(181\) 6.07699 0.697270i 0.451699 0.0518276i 0.114843 0.993384i \(-0.463364\pi\)
0.336856 + 0.941556i \(0.390636\pi\)
\(182\) 0.0104862 0.00120317i 0.000777285 8.91852e-5i
\(183\) 2.34409 + 1.32377i 0.173280 + 0.0978558i
\(184\) −0.105781 + 0.200478i −0.00779831 + 0.0147794i
\(185\) −2.95092 2.41295i −0.216956 0.177404i
\(186\) −0.00307997 0.00674419i −0.000225834 0.000494508i
\(187\) 5.35493 + 12.2862i 0.391591 + 0.898457i
\(188\) 4.20164 9.20031i 0.306436 0.671001i
\(189\) −4.46941 + 2.19746i −0.325101 + 0.159842i
\(190\) −0.0375688 + 0.0386574i −0.00272553 + 0.00280450i
\(191\) 12.9505 0.740537i 0.937066 0.0535833i 0.418121 0.908391i \(-0.362689\pi\)
0.518944 + 0.854808i \(0.326325\pi\)
\(192\) 1.17493 + 4.46992i 0.0847936 + 0.322588i
\(193\) −0.572950 + 20.0559i −0.0412418 + 1.44365i 0.670864 + 0.741580i \(0.265923\pi\)
−0.712106 + 0.702072i \(0.752259\pi\)
\(194\) 0.0163811 + 0.0310456i 0.00117609 + 0.00222895i
\(195\) 0.0886538 0.437524i 0.00634863 0.0313317i
\(196\) −2.38256 + 9.06419i −0.170183 + 0.647442i
\(197\) −4.53025 1.33020i −0.322767 0.0947729i 0.116335 0.993210i \(-0.462885\pi\)
−0.439102 + 0.898437i \(0.644703\pi\)
\(198\) 0.0792032 + 0.00591121i 0.00562873 + 0.000420092i
\(199\) 15.6764 4.60299i 1.11127 0.326297i 0.325947 0.945388i \(-0.394317\pi\)
0.785320 + 0.619090i \(0.212499\pi\)
\(200\) 0.00102596 + 0.0359132i 7.25461e−5 + 0.00253944i
\(201\) 2.71777 1.53480i 0.191697 0.108256i
\(202\) 0.0328860 0.0238931i 0.00231385 0.00168111i
\(203\) 3.89817 1.64738i 0.273598 0.115624i
\(204\) 4.60167 + 0.796350i 0.322181 + 0.0557557i
\(205\) −0.951658 + 11.0800i −0.0664667 + 0.773858i
\(206\) 0.00464400 + 0.0540691i 0.000323563 + 0.00376718i
\(207\) −16.5743 + 2.86830i −1.15200 + 0.199361i
\(208\) 2.59927 1.67045i 0.180227 0.115825i
\(209\) −6.47880 + 18.8205i −0.448148 + 1.30184i
\(210\) 0.00664184 + 0.00426845i 0.000458330 + 0.000294551i
\(211\) 4.22331 + 1.78478i 0.290744 + 0.122870i 0.529764 0.848145i \(-0.322281\pi\)
−0.239020 + 0.971015i \(0.576826\pi\)
\(212\) −8.77365 + 2.04023i −0.602577 + 0.140123i
\(213\) −1.13040 + 2.90340i −0.0774535 + 0.198938i
\(214\) 0.0509461 + 0.0844847i 0.00348261 + 0.00577525i
\(215\) −2.02265 + 6.22507i −0.137943 + 0.424546i
\(216\) 0.0718334 0.0931552i 0.00488764 0.00633841i
\(217\) 0.788313 + 2.02477i 0.0535142 + 0.137450i
\(218\) −0.000305226 0 0.000446379i −2.06725e−5 0 3.02326e-5i
\(219\) 1.31282 9.13088i 0.0887124 0.617008i
\(220\) 2.99300 + 5.91932i 0.201788 + 0.399081i
\(221\) −0.444279 3.09003i −0.0298854 0.207858i
\(222\) 0.0145765 0.0133782i 0.000978310 0.000897885i
\(223\) −14.2255 0.813445i −0.952612 0.0544723i −0.426133 0.904660i \(-0.640125\pi\)
−0.526479 + 0.850188i \(0.676488\pi\)
\(224\) 0.0325578 + 0.160679i 0.00217536 + 0.0107358i
\(225\) −2.06392 + 1.68766i −0.137595 + 0.112511i
\(226\) −0.145097 0.0713395i −0.00965173 0.00474543i
\(227\) 3.76659 1.34392i 0.249997 0.0891988i −0.208078 0.978112i \(-0.566721\pi\)
0.458075 + 0.888913i \(0.348539\pi\)
\(228\) 4.23526 + 5.49238i 0.280487 + 0.363742i
\(229\) 13.6513 22.6382i 0.902104 1.49597i 0.0340983 0.999418i \(-0.489144\pi\)
0.868006 0.496554i \(-0.165401\pi\)
\(230\) 0.0371108 + 0.0428281i 0.00244701 + 0.00282400i
\(231\) 2.89005 + 0.382587i 0.190152 + 0.0251724i
\(232\) −0.0654581 + 0.0755427i −0.00429753 + 0.00495962i
\(233\) −5.91411 18.2018i −0.387446 1.19244i −0.934690 0.355464i \(-0.884323\pi\)
0.547244 0.836973i \(-0.315677\pi\)
\(234\) −0.0174240 0.00621688i −0.00113904 0.000406410i
\(235\) −3.52467 3.62680i −0.229924 0.236586i
\(236\) −10.4314 9.57381i −0.679023 0.623202i
\(237\) −2.20732 + 3.22811i −0.143381 + 0.209688i
\(238\) 0.0537765 + 0.0125052i 0.00348581 + 0.000810591i
\(239\) 0.968688 + 0.703793i 0.0626592 + 0.0455246i 0.618674 0.785648i \(-0.287670\pi\)
−0.556015 + 0.831172i \(0.687670\pi\)
\(240\) 2.29609 + 0.263452i 0.148212 + 0.0170058i
\(241\) −12.8940 −0.830574 −0.415287 0.909690i \(-0.636319\pi\)
−0.415287 + 0.909690i \(0.636319\pi\)
\(242\) −0.0778677 0.0608174i −0.00500552 0.00390949i
\(243\) 13.3511 0.856475
\(244\) 9.25621 + 1.06205i 0.592568 + 0.0679908i
\(245\) 3.79124 + 2.75450i 0.242214 + 0.175978i
\(246\) −0.0562212 0.0130737i −0.00358453 0.000833547i
\(247\) 2.61693 3.82713i 0.166511 0.243515i
\(248\) −0.0378102 0.0347018i −0.00240095 0.00220357i
\(249\) 0.471322 + 0.484979i 0.0298688 + 0.0307343i
\(250\) 0.00845977 + 0.00301844i 0.000535043 + 0.000190903i
\(251\) −5.15248 15.8577i −0.325222 1.00093i −0.971341 0.237692i \(-0.923609\pi\)
0.646119 0.763237i \(-0.276391\pi\)
\(252\) −5.31122 + 6.12947i −0.334575 + 0.386120i
\(253\) 19.1302 + 8.47918i 1.20270 + 0.533081i
\(254\) −0.0260857 0.0301045i −0.00163676 0.00188893i
\(255\) 1.20585 1.99968i 0.0755135 0.125225i
\(256\) 9.76643 + 12.6653i 0.610402 + 0.791583i
\(257\) 23.0021 8.20713i 1.43483 0.511946i 0.499684 0.866208i \(-0.333450\pi\)
0.935146 + 0.354261i \(0.115268\pi\)
\(258\) −0.0304877 0.0149898i −0.00189808 0.000933224i
\(259\) −4.48866 + 3.67036i −0.278912 + 0.228065i
\(260\) −0.306823 1.51423i −0.0190284 0.0939086i
\(261\) −7.40538 0.423455i −0.458382 0.0262112i
\(262\) −0.0437311 + 0.0401360i −0.00270172 + 0.00247961i
\(263\) −0.113962 0.792620i −0.00702717 0.0488750i 0.986006 0.166709i \(-0.0533140\pi\)
−0.993033 + 0.117834i \(0.962405\pi\)
\(264\) −0.0652450 + 0.0220091i −0.00401555 + 0.00135457i
\(265\) −0.640994 + 4.45821i −0.0393759 + 0.273866i
\(266\) 0.0462822 + 0.0676855i 0.00283774 + 0.00415007i
\(267\) 2.43219 + 6.24703i 0.148848 + 0.382312i
\(268\) 6.59634 8.55429i 0.402936 0.522536i
\(269\) 8.16831 25.1395i 0.498031 1.53278i −0.314149 0.949374i \(-0.601719\pi\)
0.812180 0.583407i \(-0.198281\pi\)
\(270\) −0.0151869 0.0251846i −0.000924244 0.00153269i
\(271\) −0.145878 + 0.374684i −0.00886143 + 0.0227604i −0.936225 0.351400i \(-0.885706\pi\)
0.927364 + 0.374161i \(0.122069\pi\)
\(272\) 15.7420 3.66065i 0.954500 0.221959i
\(273\) −0.625485 0.264332i −0.0378561 0.0159981i
\(274\) 0.0500291 + 0.0321518i 0.00302237 + 0.00194236i
\(275\) 3.30108 0.320760i 0.199062 0.0193426i
\(276\) 6.13384 3.94198i 0.369214 0.237279i
\(277\) −17.3102 + 2.99565i −1.04007 + 0.179991i −0.664874 0.746955i \(-0.731515\pi\)
−0.375194 + 0.926946i \(0.622424\pi\)
\(278\) −0.00164148 0.0191114i −9.84494e−5 0.00114623i
\(279\) 0.325899 3.79437i 0.0195110 0.227163i
\(280\) 0.0538496 + 0.00931905i 0.00321813 + 0.000556920i
\(281\) −3.54792 + 1.49936i −0.211651 + 0.0894446i −0.492518 0.870302i \(-0.663924\pi\)
0.280867 + 0.959747i \(0.409378\pi\)
\(282\) 0.0212365 0.0154292i 0.00126462 0.000918798i
\(283\) 6.36521 3.59460i 0.378373 0.213677i −0.290800 0.956784i \(-0.593921\pi\)
0.669173 + 0.743107i \(0.266649\pi\)
\(284\) 0.307924 + 10.7787i 0.0182719 + 0.639600i
\(285\) 3.32750 0.977042i 0.197104 0.0578750i
\(286\) 0.0137347 + 0.0184663i 0.000812150 + 0.00109193i
\(287\) 16.2306 + 4.76575i 0.958064 + 0.281313i
\(288\) 0.0730495 0.277909i 0.00430448 0.0163760i
\(289\) −0.133123 + 0.656986i −0.00783074 + 0.0386462i
\(290\) 0.0116619 + 0.0221018i 0.000684812 + 0.00129786i
\(291\) 0.0644876 2.25736i 0.00378033 0.132329i
\(292\) −8.11621 30.8773i −0.474965 1.80696i
\(293\) −26.1104 + 1.49305i −1.52539 + 0.0872248i −0.799533 0.600623i \(-0.794919\pi\)
−0.725855 + 0.687847i \(0.758556\pi\)
\(294\) −0.0169519 + 0.0174431i −0.000988657 + 0.00101730i
\(295\) −6.35329 + 3.12370i −0.369903 + 0.181869i
\(296\) 0.0568918 0.124576i 0.00330677 0.00724081i
\(297\) −9.03202 6.02881i −0.524091 0.349827i
\(298\) −0.0375610 0.0822472i −0.00217585 0.00476445i
\(299\) −3.77319 3.08532i −0.218209 0.178429i
\(300\) 0.539314 1.02211i 0.0311373 0.0590118i
\(301\) 8.66940 + 4.89584i 0.499696 + 0.282191i
\(302\) 0.107707 0.0123583i 0.00619786 0.000711139i
\(303\) −2.59810 + 0.298104i −0.149257 + 0.0171256i
\(304\) 20.9003 + 11.8030i 1.19872 + 0.676946i
\(305\) 2.17404 4.12027i 0.124485 0.235926i
\(306\) −0.0749138 0.0612567i −0.00428253 0.00350181i
\(307\) 11.2327 + 24.5961i 0.641083 + 1.40378i 0.899147 + 0.437648i \(0.144188\pi\)
−0.258064 + 0.966128i \(0.583084\pi\)
\(308\) 9.72871 2.67390i 0.554345 0.152360i
\(309\) 1.45034 3.17580i 0.0825070 0.180665i
\(310\) −0.0115140 + 0.00566107i −0.000653953 + 0.000321527i
\(311\) 1.68090 1.72961i 0.0953153 0.0980771i −0.667796 0.744345i \(-0.732762\pi\)
0.763111 + 0.646268i \(0.223671\pi\)
\(312\) 0.0160126 0.000915632i 0.000906533 5.18374e-5i
\(313\) −2.09637 7.97541i −0.118494 0.450797i 0.881268 0.472616i \(-0.156690\pi\)
−0.999762 + 0.0218197i \(0.993054\pi\)
\(314\) −0.00359591 + 0.125873i −0.000202929 + 0.00710343i
\(315\) 1.89252 + 3.58672i 0.106631 + 0.202089i
\(316\) −2.68778 + 13.2647i −0.151200 + 0.746200i
\(317\) 0.782970 2.97873i 0.0439760 0.167302i −0.941534 0.336917i \(-0.890616\pi\)
0.985510 + 0.169615i \(0.0542523\pi\)
\(318\) −0.0224309 0.00658632i −0.00125786 0.000369342i
\(319\) 7.36977 + 5.55262i 0.412628 + 0.310887i
\(320\) 7.67409 2.25331i 0.428994 0.125964i
\(321\) −0.181246 6.34443i −0.0101161 0.354111i
\(322\) 0.0750589 0.0423877i 0.00418287 0.00236217i
\(323\) 19.6201 14.2548i 1.09169 0.793159i
\(324\) 11.2487 4.75374i 0.624928 0.264097i
\(325\) −0.761218 0.131734i −0.0422248 0.00730729i
\(326\) 0.00764776 0.0890412i 0.000423570 0.00493154i
\(327\) 0.00297708 + 0.0346615i 0.000164633 + 0.00191679i
\(328\) −0.393693 + 0.0681312i −0.0217380 + 0.00376191i
\(329\) −6.47159 + 4.15904i −0.356790 + 0.229295i
\(330\) −0.000790485 0.0171965i −4.35148e−5 0.000946635i
\(331\) 11.7201 + 7.53206i 0.644196 + 0.413999i 0.821541 0.570149i \(-0.193115\pi\)
−0.177346 + 0.984149i \(0.556751\pi\)
\(332\) 2.15592 + 0.911098i 0.118321 + 0.0500030i
\(333\) 9.89859 2.30182i 0.542440 0.126139i
\(334\) 0.0767093 0.197026i 0.00419735 0.0107808i
\(335\) −2.78923 4.62541i −0.152392 0.252713i
\(336\) 1.08635 3.34346i 0.0592655 0.182400i
\(337\) −15.4296 + 20.0095i −0.840505 + 1.08999i 0.154283 + 0.988027i \(0.450693\pi\)
−0.994788 + 0.101960i \(0.967489\pi\)
\(338\) 0.0404194 + 0.103816i 0.00219852 + 0.00564686i
\(339\) 5.87133 + 8.58655i 0.318887 + 0.466357i
\(340\) 1.15014 7.99941i 0.0623752 0.433829i
\(341\) −2.95776 + 3.70089i −0.160172 + 0.200414i
\(342\) −0.0204530 0.142254i −0.00110597 0.00769220i
\(343\) 13.0963 12.0197i 0.707135 0.649002i
\(344\) −0.234779 0.0134252i −0.0126585 0.000723837i
\(345\) −0.724022 3.57319i −0.0389800 0.192374i
\(346\) −0.137112 + 0.112116i −0.00737121 + 0.00602741i
\(347\) 4.54721 + 2.23571i 0.244107 + 0.120019i 0.559175 0.829050i \(-0.311118\pi\)
−0.315068 + 0.949069i \(0.602027\pi\)
\(348\) 3.02829 1.08049i 0.162333 0.0579204i
\(349\) −1.79388 2.32635i −0.0960242 0.124526i 0.741439 0.671021i \(-0.234144\pi\)
−0.837463 + 0.546494i \(0.815962\pi\)
\(350\) 0.00705543 0.0117001i 0.000377129 0.000625398i
\(351\) 1.65642 + 1.91161i 0.0884132 + 0.102034i
\(352\) −0.267519 + 0.237097i −0.0142588 + 0.0126373i
\(353\) −15.9440 + 18.4004i −0.848615 + 0.979353i −0.999958 0.00912775i \(-0.997095\pi\)
0.151344 + 0.988481i \(0.451640\pi\)
\(354\) −0.0113553 0.0349479i −0.000603526 0.00185746i
\(355\) 5.07822 + 1.81191i 0.269524 + 0.0961660i
\(356\) 16.1698 + 16.6384i 0.856999 + 0.881831i
\(357\) −2.61689 2.40176i −0.138500 0.127115i
\(358\) 0.0343790 0.0502777i 0.00181699 0.00265726i
\(359\) −32.7118 7.60679i −1.72646 0.401471i −0.758321 0.651881i \(-0.773980\pi\)
−0.968140 + 0.250410i \(0.919435\pi\)
\(360\) −0.0774928 0.0563018i −0.00408423 0.00296737i
\(361\) 16.9062 + 1.93980i 0.889798 + 0.102095i
\(362\) 0.0549425 0.00288771
\(363\) 2.43808 + 5.87029i 0.127966 + 0.308110i
\(364\) −2.35012 −0.123180
\(365\) −15.8597 1.81973i −0.830132 0.0952488i
\(366\) 0.0195623 + 0.0142128i 0.00102254 + 0.000742917i
\(367\) 20.9133 + 4.86318i 1.09167 + 0.253856i 0.733423 0.679773i \(-0.237922\pi\)
0.358242 + 0.933629i \(0.383376\pi\)
\(368\) 14.2429 20.8296i 0.742463 1.08582i
\(369\) −21.8435 20.0478i −1.13713 1.04365i
\(370\) −0.0238622 0.0245536i −0.00124053 0.00127648i
\(371\) 6.45272 + 2.30233i 0.335008 + 0.119531i
\(372\) 0.510129 + 1.57001i 0.0264489 + 0.0814014i
\(373\) 8.08616 9.33192i 0.418685 0.483189i −0.506751 0.862093i \(-0.669153\pi\)
0.925436 + 0.378904i \(0.123699\pi\)
\(374\) 0.0352055 + 0.115120i 0.00182043 + 0.00595271i
\(375\) −0.378417 0.436717i −0.0195414 0.0225520i
\(376\) 0.0938294 0.155599i 0.00483888 0.00802439i
\(377\) −1.31248 1.70205i −0.0675959 0.0876600i
\(378\) −0.0421331 + 0.0150331i −0.00216709 + 0.000773217i
\(379\) 32.0030 + 15.7348i 1.64389 + 0.808244i 0.999034 + 0.0439362i \(0.0139898\pi\)
0.644851 + 0.764308i \(0.276919\pi\)
\(380\) 9.29153 7.59764i 0.476645 0.389751i
\(381\) 0.508926 + 2.51165i 0.0260731 + 0.128676i
\(382\) 0.116323 + 0.00665160i 0.00595161 + 0.000340326i
\(383\) −5.26653 + 4.83358i −0.269107 + 0.246984i −0.799356 0.600858i \(-0.794826\pi\)
0.530249 + 0.847842i \(0.322098\pi\)
\(384\) 0.0236351 + 0.164386i 0.00120613 + 0.00838879i
\(385\) 0.518988 5.01818i 0.0264501 0.255750i
\(386\) −0.0256477 + 0.178384i −0.00130543 + 0.00907948i
\(387\) −9.84988 14.4050i −0.500698 0.732247i
\(388\) −2.83560 7.28317i −0.143956 0.369747i
\(389\) −14.4573 + 18.7485i −0.733013 + 0.950588i −0.999914 0.0131360i \(-0.995819\pi\)
0.266901 + 0.963724i \(0.414000\pi\)
\(390\) 0.00123908 0.00381351i 6.27435e−5 0.000193105i
\(391\) −13.1657 21.8329i −0.665818 1.10414i
\(392\) −0.0610845 + 0.156894i −0.00308523 + 0.00792436i
\(393\) 3.71948 0.864928i 0.187623 0.0436298i
\(394\) −0.0390641 0.0165086i −0.00196802 0.000831693i
\(395\) 5.69312 + 3.65875i 0.286452 + 0.184091i
\(396\) −17.3700 3.31782i −0.872877 0.166727i
\(397\) 30.3994 19.5365i 1.52570 0.980508i 0.534938 0.844891i \(-0.320335\pi\)
0.990761 0.135617i \(-0.0433016\pi\)
\(398\) 0.144602 0.0250244i 0.00724826 0.00125436i
\(399\) −0.451422 5.25581i −0.0225994 0.263120i
\(400\) 0.342259 3.98484i 0.0171129 0.199242i
\(401\) −29.2994 5.07046i −1.46314 0.253207i −0.617337 0.786699i \(-0.711789\pi\)
−0.845805 + 0.533492i \(0.820879\pi\)
\(402\) 0.0258238 0.0109132i 0.00128797 0.000544301i
\(403\) 0.892765 0.648632i 0.0444718 0.0323107i
\(404\) −7.88094 + 4.45057i −0.392091 + 0.221424i
\(405\) −0.174369 6.10372i −0.00866448 0.303296i
\(406\) 0.0364724 0.0107093i 0.00181010 0.000531492i
\(407\) −11.8316 4.45474i −0.586473 0.220813i
\(408\) 0.0804977 + 0.0236363i 0.00398523 + 0.00117017i
\(409\) −6.25929 + 23.8128i −0.309502 + 1.17747i 0.612560 + 0.790424i \(0.290140\pi\)
−0.922062 + 0.387043i \(0.873497\pi\)
\(410\) −0.0198368 + 0.0978986i −0.000979671 + 0.00483487i
\(411\) −1.78544 3.38379i −0.0880693 0.166910i
\(412\) 0.345046 12.0782i 0.0169992 0.595049i
\(413\) 2.73766 + 10.4152i 0.134712 + 0.512496i
\(414\) −0.150839 + 0.00862531i −0.00741336 + 0.000423911i
\(415\) 0.815634 0.839268i 0.0400379 0.0411980i
\(416\) 0.0747205 0.0367376i 0.00366347 0.00180121i
\(417\) −0.512641 + 1.12253i −0.0251041 + 0.0549704i
\(418\) −0.0770842 + 0.161313i −0.00377031 + 0.00789009i
\(419\) 1.57143 + 3.44095i 0.0767693 + 0.168101i 0.944125 0.329587i \(-0.106910\pi\)
−0.867356 + 0.497688i \(0.834182\pi\)
\(420\) −1.36086 1.11277i −0.0664034 0.0542978i
\(421\) −0.671437 + 1.27251i −0.0327238 + 0.0620186i −0.900251 0.435371i \(-0.856617\pi\)
0.867527 + 0.497390i \(0.165708\pi\)
\(422\) 0.0358596 + 0.0202509i 0.00174562 + 0.000985796i
\(423\) 13.3954 1.53698i 0.651309 0.0747307i
\(424\) −0.160766 + 0.0184462i −0.00780749 + 0.000895826i
\(425\) −3.51868 1.98709i −0.170681 0.0963881i
\(426\) −0.0130600 + 0.0247514i −0.000632757 + 0.00119921i
\(427\) −5.48581 4.48573i −0.265477 0.217079i
\(428\) −9.12519 19.9814i −0.441083 0.965837i
\(429\) −0.185215 1.46896i −0.00894229 0.0709221i
\(430\) −0.0244230 + 0.0534790i −0.00117778 + 0.00257899i
\(431\) 29.8025 14.6529i 1.43554 0.705805i 0.452936 0.891543i \(-0.350377\pi\)
0.982599 + 0.185738i \(0.0594674\pi\)
\(432\) −9.12654 + 9.39098i −0.439101 + 0.451824i
\(433\) −20.4808 + 1.17113i −0.984244 + 0.0562811i −0.541793 0.840512i \(-0.682254\pi\)
−0.442450 + 0.896793i \(0.645891\pi\)
\(434\) 0.00496145 + 0.0188753i 0.000238157 + 0.000906045i
\(435\) 0.0459096 1.60705i 0.00220120 0.0770520i
\(436\) 0.0561877 + 0.106488i 0.00269090 + 0.00509983i
\(437\) 7.51941 37.1098i 0.359702 1.77520i
\(438\) 0.0210641 0.0801361i 0.00100648 0.00382905i
\(439\) −9.05164 2.65780i −0.432011 0.126850i 0.0584948 0.998288i \(-0.481370\pi\)
−0.490506 + 0.871438i \(0.663188\pi\)
\(440\) 0.0412960 + 0.111774i 0.00196871 + 0.00532864i
\(441\) −11.9878 + 3.51993i −0.570847 + 0.167616i
\(442\) −0.000800725 0.0280290i −3.80866e−5 0.00133320i
\(443\) −31.6345 + 17.8648i −1.50300 + 0.848784i −0.999881 0.0154323i \(-0.995088\pi\)
−0.503121 + 0.864216i \(0.667815\pi\)
\(444\) −3.56392 + 2.58934i −0.169136 + 0.122885i
\(445\) 10.6860 4.51596i 0.506567 0.214077i
\(446\) −0.126110 0.0218242i −0.00597148 0.00103340i
\(447\) −0.497788 + 5.79565i −0.0235446 + 0.274125i
\(448\) −1.04110 12.1213i −0.0491873 0.572677i
\(449\) 0.465192 0.0805046i 0.0219538 0.00379925i −0.159535 0.987192i \(-0.550999\pi\)
0.181488 + 0.983393i \(0.441908\pi\)
\(450\) −0.0201456 + 0.0129468i −0.000949671 + 0.000610317i
\(451\) 8.75523 + 35.8291i 0.412268 + 1.68713i
\(452\) 30.2854 + 19.4633i 1.42451 + 0.915475i
\(453\) −6.42460 2.71506i −0.301854 0.127565i
\(454\) 0.0349875 0.00813599i 0.00164204 0.000381841i
\(455\) −0.426337 + 1.09504i −0.0199870 + 0.0513362i
\(456\) 0.0643415 + 0.106698i 0.00301307 + 0.00499661i
\(457\) 3.91422 12.0467i 0.183100 0.563523i −0.816811 0.576906i \(-0.804260\pi\)
0.999910 + 0.0133829i \(0.00426005\pi\)
\(458\) 0.144998 0.188036i 0.00677529 0.00878636i
\(459\) 4.80032 + 12.3295i 0.224060 + 0.575492i
\(460\) −7.12203 10.4156i −0.332067 0.485632i
\(461\) −2.71529 + 18.8852i −0.126464 + 0.879574i 0.823523 + 0.567283i \(0.192005\pi\)
−0.949987 + 0.312291i \(0.898904\pi\)
\(462\) 0.0253979 + 0.00637313i 0.00118162 + 0.000296505i
\(463\) 5.73985 + 39.9216i 0.266754 + 1.85531i 0.478631 + 0.878016i \(0.341133\pi\)
−0.211877 + 0.977296i \(0.567958\pi\)
\(464\) 8.19796 7.52402i 0.380581 0.349294i
\(465\) 0.824092 + 0.0471233i 0.0382164 + 0.00218529i
\(466\) −0.0341386 0.168480i −0.00158144 0.00780470i
\(467\) −21.8621 + 17.8766i −1.01166 + 0.827229i −0.985024 0.172416i \(-0.944843\pi\)
−0.0266348 + 0.999645i \(0.508479\pi\)
\(468\) 3.69647 + 1.81743i 0.170870 + 0.0840109i
\(469\) −7.73818 + 2.76098i −0.357316 + 0.127490i
\(470\) −0.0277392 0.0359729i −0.00127952 0.00165931i
\(471\) 4.18347 6.93751i 0.192764 0.319663i
\(472\) −0.166569 0.192230i −0.00766694 0.00884812i
\(473\) 0.242794 + 21.7074i 0.0111637 + 0.998106i
\(474\) −0.0230024 + 0.0265462i −0.00105654 + 0.00121931i
\(475\) −1.85454 5.70769i −0.0850922 0.261887i
\(476\) −11.5782 4.13108i −0.530685 0.189348i
\(477\) −8.36894 8.61144i −0.383188 0.394291i
\(478\) 0.00792357 + 0.00727218i 0.000362415 + 0.000332622i
\(479\) −9.12110 + 13.3392i −0.416754 + 0.609483i −0.975538 0.219830i \(-0.929450\pi\)
0.558785 + 0.829313i \(0.311268\pi\)
\(480\) 0.0606630 + 0.0141066i 0.00276887 + 0.000643874i
\(481\) 2.38238 + 1.73090i 0.108627 + 0.0789222i
\(482\) −0.115061 0.0132020i −0.00524087 0.000601333i
\(483\) −5.54566 −0.252336
\(484\) 15.6810 + 15.4294i 0.712774 + 0.701336i
\(485\) −3.90801 −0.177454
\(486\) 0.119140 + 0.0136700i 0.00540430 + 0.000620085i
\(487\) 19.4013 + 14.0959i 0.879157 + 0.638745i 0.933028 0.359803i \(-0.117156\pi\)
−0.0538715 + 0.998548i \(0.517156\pi\)
\(488\) 0.163026 + 0.0379100i 0.00737982 + 0.00171610i
\(489\) −3.24526 + 4.74605i −0.146756 + 0.214624i
\(490\) 0.0310112 + 0.0284618i 0.00140094 + 0.00128577i
\(491\) 8.60228 + 8.85154i 0.388216 + 0.399464i 0.882864 0.469629i \(-0.155612\pi\)
−0.494648 + 0.869093i \(0.664703\pi\)
\(492\) 12.1045 + 4.31889i 0.545714 + 0.194710i
\(493\) −3.47420 10.6925i −0.156470 0.481565i
\(494\) 0.0272709 0.0314723i 0.00122698 0.00141601i
\(495\) −4.69706 + 7.49169i −0.211117 + 0.336726i
\(496\) 3.74127 + 4.31766i 0.167988 + 0.193868i
\(497\) 4.23522 7.02333i 0.189976 0.315039i
\(498\) 0.00370932 + 0.00481033i 0.000166219 + 0.000215556i
\(499\) −13.3696 + 4.77026i −0.598505 + 0.213546i −0.617888 0.786266i \(-0.712012\pi\)
0.0193830 + 0.999812i \(0.493830\pi\)
\(500\) −1.79472 0.882407i −0.0802625 0.0394624i
\(501\) −10.5302 + 8.61046i −0.470452 + 0.384687i
\(502\) −0.0297421 0.146783i −0.00132746 0.00655125i
\(503\) −28.6781 1.63987i −1.27869 0.0731183i −0.595500 0.803356i \(-0.703046\pi\)
−0.683194 + 0.730237i \(0.739410\pi\)
\(504\) −0.107344 + 0.0985196i −0.00478149 + 0.00438841i
\(505\) 0.644057 + 4.47951i 0.0286602 + 0.199336i
\(506\) 0.162028 + 0.0952518i 0.00720303 + 0.00423446i
\(507\) 1.02001 7.09435i 0.0453004 0.315071i
\(508\) 5.00619 + 7.32132i 0.222114 + 0.324831i
\(509\) −5.21221 13.3875i −0.231027 0.593389i 0.767857 0.640622i \(-0.221323\pi\)
−0.998884 + 0.0472330i \(0.984960\pi\)
\(510\) 0.0128080 0.0166097i 0.000567148 0.000735490i
\(511\) −7.50371 + 23.0940i −0.331945 + 1.02162i
\(512\) 0.371008 + 0.615248i 0.0163964 + 0.0271904i
\(513\) −7.12911 + 18.3110i −0.314758 + 0.808449i
\(514\) 0.213664 0.0496855i 0.00942433 0.00219153i
\(515\) −5.56524 2.35189i −0.245234 0.103637i
\(516\) 6.36355 + 4.08960i 0.280140 + 0.180035i
\(517\) −14.9215 7.66118i −0.656249 0.336938i
\(518\) −0.0438130 + 0.0281569i −0.00192503 + 0.00123714i
\(519\) 11.2277 1.94303i 0.492842 0.0852896i
\(520\) −0.00237517 0.0276536i −0.000104158 0.00121269i
\(521\) −0.0461698 + 0.537546i −0.00202274 + 0.0235503i −0.997274 0.0737939i \(-0.976489\pi\)
0.995251 + 0.0973442i \(0.0310348\pi\)
\(522\) −0.0656490 0.0113610i −0.00287338 0.000497258i
\(523\) −9.03887 + 3.81986i −0.395242 + 0.167031i −0.577827 0.816159i \(-0.696099\pi\)
0.182585 + 0.983190i \(0.441554\pi\)
\(524\) 10.6922 7.76831i 0.467090 0.339360i
\(525\) −0.765373 + 0.432226i −0.0334036 + 0.0188639i
\(526\) −0.000205393 0.00718970i −8.95557e−6 0.000313486i
\(527\) 5.53851 1.62625i 0.241261 0.0708407i
\(528\) 7.49507 1.60617i 0.326181 0.0698996i
\(529\) −16.1247 4.73464i −0.701074 0.205854i
\(530\) −0.0102847 + 0.0391269i −0.000446737 + 0.00169957i
\(531\) 3.74839 18.4990i 0.162666 0.802790i
\(532\) −8.51989 16.1470i −0.369384 0.700061i
\(533\) 0.245329 8.58764i 0.0106264 0.371972i
\(534\) 0.0153076 + 0.0582362i 0.000662425 + 0.00252013i
\(535\) −10.9658 + 0.627045i −0.474091 + 0.0271095i
\(536\) 0.135246 0.139165i 0.00584174 0.00601101i
\(537\) −3.51642 + 1.72891i −0.151745 + 0.0746079i
\(538\) 0.0986306 0.215971i 0.00425227 0.00931117i
\(539\) 14.8346 + 4.63727i 0.638970 + 0.199741i
\(540\) 2.72019 + 5.95639i 0.117058 + 0.256322i
\(541\) −31.2280 25.5350i −1.34260 1.09784i −0.986566 0.163363i \(-0.947766\pi\)
−0.356031 0.934474i \(-0.615870\pi\)
\(542\) −0.00168539 + 0.00319416i −7.23935e−5 + 0.000137201i
\(543\) −3.07781 1.73812i −0.132082 0.0745899i
\(544\) 0.432699 0.0496476i 0.0185518 0.00212862i
\(545\) 0.0598110 0.00686268i 0.00256202 0.000293965i
\(546\) −0.00531092 0.00299922i −0.000227287 0.000128355i
\(547\) −3.56911 + 6.76422i −0.152604 + 0.289217i −0.948833 0.315779i \(-0.897734\pi\)
0.796229 + 0.604996i \(0.206825\pi\)
\(548\) −10.2506 8.38187i −0.437884 0.358056i
\(549\) 5.15960 + 11.2979i 0.220206 + 0.482184i
\(550\) 0.0297859 0.000517598i 0.00127007 2.20704e-5i
\(551\) 6.93617 15.1881i 0.295491 0.647035i
\(552\) 0.117546 0.0577937i 0.00500311 0.00245986i
\(553\) 7.17426 7.38214i 0.305081 0.313920i
\(554\) −0.157536 + 0.00900824i −0.00669307 + 0.000382724i
\(555\) 0.559971 + 2.13035i 0.0237694 + 0.0904283i
\(556\) −0.121961 + 4.26918i −0.00517228 + 0.181053i
\(557\) −7.25760 13.7547i −0.307515 0.582805i 0.681291 0.732012i \(-0.261419\pi\)
−0.988806 + 0.149208i \(0.952328\pi\)
\(558\) 0.00679319 0.0335257i 0.000287579 0.00141926i
\(559\) 1.28547 4.89043i 0.0543696 0.206843i
\(560\) −5.83726 1.71397i −0.246669 0.0724286i
\(561\) 1.66968 7.56262i 0.0704940 0.319294i
\(562\) −0.0331954 + 0.00974704i −0.00140026 + 0.000411154i
\(563\) 1.04564 + 36.6022i 0.0440685 + 1.54260i 0.657865 + 0.753136i \(0.271460\pi\)
−0.613797 + 0.789464i \(0.710359\pi\)
\(564\) −5.08921 + 2.87401i −0.214294 + 0.121018i
\(565\) 14.5630 10.5807i 0.612672 0.445132i
\(566\) 0.0604810 0.0255595i 0.00254221 0.00107435i
\(567\) −9.15216 1.58384i −0.384355 0.0665152i
\(568\) −0.0165772 + 0.193004i −0.000695562 + 0.00809829i
\(569\) 1.89259 + 22.0351i 0.0793416 + 0.923758i 0.922476 + 0.386055i \(0.126162\pi\)
−0.843134 + 0.537703i \(0.819292\pi\)
\(570\) 0.0306936 0.00531174i 0.00128561 0.000222484i
\(571\) −2.12235 + 1.36395i −0.0888178 + 0.0570797i −0.584296 0.811541i \(-0.698629\pi\)
0.495478 + 0.868620i \(0.334993\pi\)
\(572\) −2.56948 4.43341i −0.107435 0.185370i
\(573\) −6.30586 4.05253i −0.263431 0.169297i
\(574\) 0.139956 + 0.0591459i 0.00584165 + 0.00246870i
\(575\) −6.14519 + 1.42900i −0.256272 + 0.0595936i
\(576\) −7.73632 + 19.8706i −0.322347 + 0.827940i
\(577\) 5.49579 + 9.11375i 0.228793 + 0.379410i 0.949469 0.313862i \(-0.101623\pi\)
−0.720676 + 0.693272i \(0.756168\pi\)
\(578\) −0.00186061 + 0.00572637i −7.73911e−5 + 0.000238185i
\(579\) 7.07997 9.18146i 0.294233 0.381569i
\(580\) −2.01870 5.18500i −0.0838221 0.215295i
\(581\) −1.00480 1.46948i −0.0416863 0.0609643i
\(582\) 0.00288674 0.0200777i 0.000119659 0.000832248i
\(583\) 2.71177 + 14.6901i 0.112310 + 0.608400i
\(584\) −0.0816234 0.567704i −0.00337760 0.0234917i
\(585\) 1.51742 1.39267i 0.0627375 0.0575799i
\(586\) −0.234527 0.0134108i −0.00968824 0.000553994i
\(587\) −6.31600 31.1707i −0.260689 1.28655i −0.869775 0.493448i \(-0.835736\pi\)
0.609086 0.793104i \(-0.291536\pi\)
\(588\) 4.19256 3.42824i 0.172898 0.141378i
\(589\) 7.69311 + 3.78245i 0.316989 + 0.155853i
\(590\) −0.0598925 + 0.0213696i −0.00246573 + 0.000879772i
\(591\) 1.66607 + 2.16060i 0.0685330 + 0.0888751i
\(592\) −7.87278 + 13.0555i −0.323569 + 0.536579i
\(593\) −5.06916 5.85012i −0.208165 0.240236i 0.642060 0.766654i \(-0.278080\pi\)
−0.850226 + 0.526419i \(0.823535\pi\)
\(594\) −0.0744252 0.0630464i −0.00305370 0.00258682i
\(595\) −4.02529 + 4.64543i −0.165021 + 0.190444i
\(596\) 6.22115 + 19.1467i 0.254828 + 0.784280i
\(597\) −8.89210 3.17270i −0.363930 0.129850i
\(598\) −0.0305114 0.0313955i −0.00124770 0.00128386i
\(599\) −14.5761 13.3778i −0.595563 0.546603i 0.320699 0.947181i \(-0.396082\pi\)
−0.916263 + 0.400578i \(0.868809\pi\)
\(600\) 0.0117185 0.0171378i 0.000478407 0.000699648i
\(601\) −27.3373 6.35701i −1.11511 0.259308i −0.371838 0.928298i \(-0.621272\pi\)
−0.743272 + 0.668990i \(0.766727\pi\)
\(602\) 0.0723494 + 0.0525649i 0.00294874 + 0.00214239i
\(603\) 14.3065 + 1.64151i 0.582605 + 0.0668476i
\(604\) −24.1390 −0.982200
\(605\) 10.0341 4.50753i 0.407942 0.183257i
\(606\) −0.0234896 −0.000954200
\(607\) −32.9460 3.78020i −1.33724 0.153434i −0.584306 0.811533i \(-0.698633\pi\)
−0.752931 + 0.658100i \(0.771361\pi\)
\(608\) 0.523298 + 0.380199i 0.0212226 + 0.0154191i
\(609\) −2.38193 0.553895i −0.0965208 0.0224450i
\(610\) 0.0236189 0.0345416i 0.000956303 0.00139855i
\(611\) 2.87843 + 2.64180i 0.116449 + 0.106876i
\(612\) 15.0165 + 15.4516i 0.607005 + 0.624593i
\(613\) −11.9133 4.25064i −0.481172 0.171682i 0.0843146 0.996439i \(-0.473130\pi\)
−0.565487 + 0.824757i \(0.691312\pi\)
\(614\) 0.0750521 + 0.230987i 0.00302886 + 0.00932187i
\(615\) 4.20828 4.85662i 0.169694 0.195838i
\(616\) 0.179109 0.0278000i 0.00721651 0.00112009i
\(617\) −10.7869 12.4487i −0.434263 0.501167i 0.495866 0.868399i \(-0.334851\pi\)
−0.930129 + 0.367233i \(0.880305\pi\)
\(618\) 0.0161939 0.0268546i 0.000651415 0.00108025i
\(619\) −17.7133 22.9710i −0.711958 0.923283i 0.287447 0.957797i \(-0.407194\pi\)
−0.999404 + 0.0345137i \(0.989012\pi\)
\(620\) 2.69063 0.960016i 0.108058 0.0385552i
\(621\) 18.5379 + 9.11449i 0.743902 + 0.365752i
\(622\) 0.0167706 0.0137133i 0.000672440 0.000549852i
\(623\) −3.50443 17.2950i −0.140402 0.692911i
\(624\) −1.78253 0.101929i −0.0713584 0.00408042i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −0.0105412 0.0733157i −0.000421311 0.00293029i
\(627\) 9.42136 6.59800i 0.376253 0.263499i
\(628\) 3.99019 27.7524i 0.159226 1.10744i
\(629\) 8.69451 + 12.7153i 0.346673 + 0.506993i
\(630\) 0.0132157 + 0.0339441i 0.000526525 + 0.00135237i
\(631\) −13.3760 + 17.3463i −0.532491 + 0.690546i −0.978913 0.204276i \(-0.934516\pi\)
0.446423 + 0.894822i \(0.352698\pi\)
\(632\) −0.0751340 + 0.231239i −0.00298867 + 0.00919818i
\(633\) −1.36817 2.26886i −0.0543800 0.0901790i
\(634\) 0.0100368 0.0257793i 0.000398612 0.00102383i
\(635\) 4.31955 1.00447i 0.171416 0.0398611i
\(636\) 4.79464 + 2.02623i 0.190120 + 0.0803454i
\(637\) −3.04556 1.95727i −0.120670 0.0775497i
\(638\) 0.0600795 + 0.0570951i 0.00237857 + 0.00226042i
\(639\) −12.0930 + 7.77167i −0.478390 + 0.307442i
\(640\) 0.283190 0.0490080i 0.0111941 0.00193721i
\(641\) 2.81500 + 32.7745i 0.111186 + 1.29451i 0.813046 + 0.582199i \(0.197808\pi\)
−0.701860 + 0.712315i \(0.747647\pi\)
\(642\) 0.00487861 0.0568006i 0.000192543 0.00224174i
\(643\) 34.9885 + 6.05500i 1.37981 + 0.238786i 0.811657 0.584135i \(-0.198566\pi\)
0.568156 + 0.822921i \(0.307657\pi\)
\(644\) −17.6792 + 7.47127i −0.696656 + 0.294409i
\(645\) 3.05997 2.22320i 0.120486 0.0875384i
\(646\) 0.189677 0.107115i 0.00746273 0.00421440i
\(647\) −0.708722 24.8085i −0.0278627 0.975323i −0.886497 0.462734i \(-0.846868\pi\)
0.858634 0.512588i \(-0.171313\pi\)
\(648\) 0.210496 0.0618073i 0.00826908 0.00242802i
\(649\) −16.6546 + 16.5518i −0.653751 + 0.649716i
\(650\) −0.00665792 0.00195494i −0.000261145 7.66791e-5i
\(651\) 0.319192 1.21433i 0.0125101 0.0475934i
\(652\) −3.95165 + 19.5022i −0.154759 + 0.763764i
\(653\) 22.1800 + 42.0358i 0.867971 + 1.64499i 0.759140 + 0.650928i \(0.225620\pi\)
0.108831 + 0.994060i \(0.465289\pi\)
\(654\) −8.92321e−6 0 0.000312353i −3.48925e−7 0 1.22140e-5i
\(655\) −1.67997 6.39128i −0.0656420 0.249728i
\(656\) 44.4051 2.53917i 1.73373 0.0991381i
\(657\) 29.6620 30.5215i 1.15723 1.19076i
\(658\) −0.0620082 + 0.0304874i −0.00241733 + 0.00118852i
\(659\) −4.28797 + 9.38935i −0.167036 + 0.365757i −0.974577 0.224054i \(-0.928071\pi\)
0.807541 + 0.589811i \(0.200798\pi\)
\(660\) 0.611319 3.78387i 0.0237955 0.147287i
\(661\) −16.3752 35.8567i −0.636922 1.39466i −0.902549 0.430588i \(-0.858306\pi\)
0.265627 0.964076i \(-0.414421\pi\)
\(662\) 0.0968735 + 0.0792130i 0.00376509 + 0.00307870i
\(663\) −0.841851 + 1.59548i −0.0326948 + 0.0619635i
\(664\) 0.0366120 + 0.0206758i 0.00142082 + 0.000802376i
\(665\) −9.06930 + 1.04061i −0.351692 + 0.0403530i
\(666\) 0.0906878 0.0104055i 0.00351408 0.000403203i
\(667\) −15.2843 8.63145i −0.591811 0.334211i
\(668\) −21.9691 + 41.6360i −0.850009 + 1.61095i
\(669\) 6.37412 + 5.21209i 0.246438 + 0.201511i
\(670\) −0.0201540 0.0441311i −0.000778617 0.00170493i
\(671\) 2.46430 15.2532i 0.0951332 0.588844i
\(672\) 0.0393552 0.0861758i 0.00151816 0.00332430i
\(673\) −28.0811 + 13.8066i −1.08245 + 0.532204i −0.893170 0.449720i \(-0.851524\pi\)
−0.189278 + 0.981924i \(0.560615\pi\)
\(674\) −0.158175 + 0.162758i −0.00609268 + 0.00626922i
\(675\) 3.26886 0.186920i 0.125818 0.00719455i
\(676\) −6.30598 23.9905i −0.242538 0.922710i
\(677\) 0.241791 8.46379i 0.00929278 0.325290i −0.981625 0.190820i \(-0.938885\pi\)
0.990918 0.134469i \(-0.0429330\pi\)
\(678\) 0.0436017 + 0.0826344i 0.00167451 + 0.00317356i
\(679\) −1.18052 + 5.82610i −0.0453043 + 0.223585i
\(680\) 0.0369085 0.140414i 0.00141538 0.00538465i
\(681\) −2.21734 0.651071i −0.0849688 0.0249491i
\(682\) −0.0301831 + 0.0299968i −0.00115577 + 0.00114864i
\(683\) −1.73348 + 0.508994i −0.0663296 + 0.0194761i −0.314729 0.949182i \(-0.601914\pi\)
0.248399 + 0.968658i \(0.420095\pi\)
\(684\) 0.913772 + 31.9862i 0.0349389 + 1.22302i
\(685\) −5.76511 + 3.25571i −0.220274 + 0.124394i
\(686\) 0.129173 0.0938496i 0.00493185 0.00358320i
\(687\) −14.0712 + 5.94653i −0.536849 + 0.226874i
\(688\) 25.7951 + 4.46402i 0.983430 + 0.170189i
\(689\) 0.297761 3.46677i 0.0113438 0.132073i
\(690\) −0.00280233 0.0326270i −0.000106683 0.00124209i
\(691\) 9.25941 1.60240i 0.352244 0.0609583i 0.00834604 0.999965i \(-0.497343\pi\)
0.343898 + 0.939007i \(0.388252\pi\)
\(692\) 33.1754 21.3205i 1.26114 0.810485i
\(693\) 9.74981 + 9.26549i 0.370365 + 0.351967i
\(694\) 0.0382883 + 0.0246064i 0.00145340 + 0.000934046i
\(695\) 1.96710 + 0.831304i 0.0746164 + 0.0315332i
\(696\) 0.0562601 0.0130827i 0.00213253 0.000495900i
\(697\) 16.3042 41.8770i 0.617565 1.58620i
\(698\) −0.0136259 0.0225961i −0.000515749 0.000855274i
\(699\) −3.41752 + 10.5181i −0.129263 + 0.397829i
\(700\) −1.85765 + 2.40904i −0.0702124 + 0.0910531i
\(701\) −0.0557500 0.143193i −0.00210565 0.00540831i 0.930807 0.365510i \(-0.119106\pi\)
−0.932913 + 0.360102i \(0.882742\pi\)
\(702\) 0.0128239 + 0.0187544i 0.000484008 + 0.000707840i
\(703\) −3.25567 + 22.6437i −0.122790 + 0.854023i
\(704\) 21.7281 15.2167i 0.818909 0.573501i
\(705\) 0.415907 + 2.89270i 0.0156640 + 0.108945i
\(706\) −0.161118 + 0.147873i −0.00606375 + 0.00556526i
\(707\) 6.87266 + 0.392993i 0.258473 + 0.0147800i
\(708\) 1.62482 + 8.01882i 0.0610646 + 0.301366i
\(709\) −15.3095 + 12.5185i −0.574961 + 0.470144i −0.875227 0.483712i \(-0.839288\pi\)
0.300266 + 0.953856i \(0.402925\pi\)
\(710\) 0.0434608 + 0.0213682i 0.00163105 + 0.000801935i
\(711\) −16.9932 + 6.06317i −0.637295 + 0.227387i
\(712\) 0.254519 + 0.330066i 0.00953851 + 0.0123698i
\(713\) 4.65391 7.71764i 0.174290 0.289028i
\(714\) −0.0208929 0.0241117i −0.000781898 0.000902358i
\(715\) −2.53189 + 0.392981i −0.0946871 + 0.0146967i
\(716\) −8.88086 + 10.2491i −0.331893 + 0.383025i
\(717\) −0.213811 0.658043i −0.00798493 0.0245751i
\(718\) −0.284118 0.101373i −0.0106032 0.00378321i
\(719\) 27.6018 + 28.4016i 1.02937 + 1.05920i 0.998217 + 0.0596846i \(0.0190095\pi\)
0.0311551 + 0.999515i \(0.490081\pi\)
\(720\) 7.85589 + 7.21007i 0.292772 + 0.268703i
\(721\) −5.18736 + 7.58627i −0.193187 + 0.282527i
\(722\) 0.148877 + 0.0346200i 0.00554064 + 0.00128842i
\(723\) 6.02791 + 4.37953i 0.224180 + 0.162877i
\(724\) −12.1535 1.39448i −0.451681 0.0518256i
\(725\) −2.78217 −0.103327
\(726\) 0.0157459 + 0.0548803i 0.000584386 + 0.00203680i
\(727\) −46.8513 −1.73762 −0.868809 0.495148i \(-0.835114\pi\)
−0.868809 + 0.495148i \(0.835114\pi\)
\(728\) −0.0419438 0.00481260i −0.00155454 0.000178367i
\(729\) 8.57847 + 6.23262i 0.317721 + 0.230838i
\(730\) −0.139662 0.0324770i −0.00516912 0.00120203i
\(731\) 14.9296 21.8338i 0.552189 0.807551i
\(732\) −3.96652 3.64044i −0.146607 0.134555i
\(733\) 18.9749 + 19.5248i 0.700856 + 0.721163i 0.970314 0.241849i \(-0.0777538\pi\)
−0.269458 + 0.963012i \(0.586845\pi\)
\(734\) 0.181642 + 0.0648098i 0.00670454 + 0.00239218i
\(735\) −0.836813 2.57545i −0.0308663 0.0949967i
\(736\) 0.445305 0.513910i 0.0164142 0.0189430i
\(737\) −13.6690 11.5791i −0.503503 0.426522i
\(738\) −0.174396 0.201263i −0.00641959 0.00740860i
\(739\) −4.22536 + 7.00697i −0.155432 + 0.257755i −0.924312 0.381638i \(-0.875360\pi\)
0.768880 + 0.639394i \(0.220815\pi\)
\(740\) 4.65521 + 6.03699i 0.171129 + 0.221924i
\(741\) −2.52332 + 0.900319i −0.0926965 + 0.0330740i
\(742\) 0.0552241 + 0.0271519i 0.00202734 + 0.000996776i
\(743\) −20.7555 + 16.9717i −0.761444 + 0.622630i −0.931892 0.362737i \(-0.881842\pi\)
0.170447 + 0.985367i \(0.445479\pi\)
\(744\) 0.00588944 + 0.0290655i 0.000215917 + 0.00106559i
\(745\) 10.0500 + 0.574681i 0.368204 + 0.0210547i
\(746\) 0.0817124 0.0749949i 0.00299170 0.00274576i
\(747\) 0.444043 + 3.08839i 0.0162467 + 0.112998i
\(748\) −4.86576 26.3585i −0.177910 0.963763i
\(749\) −2.37770 + 16.5373i −0.0868793 + 0.604259i
\(750\) −0.00292969 0.00428454i −0.000106977 0.000156449i
\(751\) −15.8884 40.8089i −0.579774 1.48914i −0.850233 0.526407i \(-0.823539\pi\)
0.270458 0.962732i \(-0.412825\pi\)
\(752\) −12.3516 + 16.0178i −0.450416 + 0.584109i
\(753\) −2.97741 + 9.16352i −0.108503 + 0.333937i
\(754\) −0.00996929 0.0165322i −0.000363060 0.000602067i
\(755\) −4.37908 + 11.2476i −0.159371 + 0.409341i
\(756\) 9.70155 2.25600i 0.352842 0.0820499i
\(757\) −23.5867 9.96783i −0.857274 0.362287i −0.0840819 0.996459i \(-0.526796\pi\)
−0.773192 + 0.634172i \(0.781341\pi\)
\(758\) 0.269471 + 0.173179i 0.00978764 + 0.00629013i
\(759\) −6.06330 10.4617i −0.220084 0.379736i
\(760\) 0.181389 0.116572i 0.00657969 0.00422851i
\(761\) 7.35893 1.27351i 0.266761 0.0461648i −0.0355723 0.999367i \(-0.511325\pi\)
0.302333 + 0.953202i \(0.402234\pi\)
\(762\) 0.00196980 + 0.0229340i 7.13585e−5 + 0.000830812i
\(763\) 0.00783661 0.0912400i 0.000283704 0.00330311i
\(764\) −25.5623 4.42373i −0.924812 0.160045i
\(765\) 9.92383 4.19385i 0.358797 0.151629i
\(766\) −0.0519454 + 0.0377405i −0.00187686 + 0.00136362i
\(767\) 4.76236 2.68943i 0.171959 0.0971095i
\(768\) −0.263916 9.23825i −0.00952323 0.333357i
\(769\) −26.6348 + 7.82067i −0.960474 + 0.282021i −0.724141 0.689652i \(-0.757764\pi\)
−0.236332 + 0.971672i \(0.575945\pi\)
\(770\) 0.00976928 0.0442487i 0.000352060 0.00159461i