Properties

Label 547.2.o.a.4.3
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.54982 - 0.0293438i) q^{2} +(0.292466 - 1.28138i) q^{3} +(4.50126 + 0.103616i) q^{4} +(-1.61382 + 3.03235i) q^{5} +(-0.783337 + 3.25870i) q^{6} +(0.230485 + 0.567960i) q^{7} +(-6.37743 - 0.220256i) q^{8} +(1.14652 + 0.552133i) q^{9} +O(q^{10})\) \(q+(-2.54982 - 0.0293438i) q^{2} +(0.292466 - 1.28138i) q^{3} +(4.50126 + 0.103616i) q^{4} +(-1.61382 + 3.03235i) q^{5} +(-0.783337 + 3.25870i) q^{6} +(0.230485 + 0.567960i) q^{7} +(-6.37743 - 0.220256i) q^{8} +(1.14652 + 0.552133i) q^{9} +(4.20394 - 7.68459i) q^{10} +(-4.54412 - 4.73093i) q^{11} +(1.44924 - 5.73751i) q^{12} +(-5.79396 - 0.873299i) q^{13} +(-0.571030 - 1.45496i) q^{14} +(3.41359 + 2.95477i) q^{15} +(7.25948 + 0.334395i) q^{16} +(-0.274578 + 1.63025i) q^{17} +(-2.90721 - 1.44148i) q^{18} +(7.33708 - 3.95915i) q^{19} +(-7.57843 + 13.4822i) q^{20} +(0.795181 - 0.129229i) q^{21} +(11.4479 + 12.1964i) q^{22} +(4.91671 + 1.15201i) q^{23} +(-2.14741 + 8.10748i) q^{24} +(-3.79793 - 5.64000i) q^{25} +(14.7479 + 2.39677i) q^{26} +(3.50122 - 4.39039i) q^{27} +(0.978624 + 2.58042i) q^{28} +(1.04226 + 0.593778i) q^{29} +(-8.61735 - 7.63431i) q^{30} +(4.11008 + 1.47812i) q^{31} +(-5.75923 - 0.331743i) q^{32} +(-7.39110 + 4.43909i) q^{33} +(0.747964 - 4.14879i) q^{34} +(-2.09422 - 0.217675i) q^{35} +(5.10356 + 2.60409i) q^{36} +(4.54039 - 3.66378i) q^{37} +(-18.8244 + 9.87982i) q^{38} +(-2.81356 + 7.16884i) q^{39} +(10.9599 - 18.9831i) q^{40} +(-3.00801 - 5.21002i) q^{41} +(-2.03136 + 0.306178i) q^{42} +(0.0767831 - 0.782476i) q^{43} +(-19.9640 - 21.7660i) q^{44} +(-3.52453 + 2.58559i) q^{45} +(-12.5029 - 3.08169i) q^{46} +(-0.446142 + 0.0360163i) q^{47} +(2.55164 - 9.20434i) q^{48} +(4.75098 - 4.61622i) q^{49} +(9.51856 + 14.4924i) q^{50} +(2.00866 + 0.828631i) q^{51} +(-25.9896 - 4.53130i) q^{52} +(7.19620 - 2.49485i) q^{53} +(-9.05632 + 11.0920i) q^{54} +(21.6792 - 6.14448i) q^{55} +(-1.34481 - 3.67289i) q^{56} +(-2.92731 - 10.5595i) q^{57} +(-2.64015 - 1.54461i) q^{58} +(2.44712 - 1.04262i) q^{59} +(15.0593 + 13.6539i) q^{60} +(9.09013 - 4.24941i) q^{61} +(-10.4366 - 3.88955i) q^{62} +(-0.0493347 + 0.778434i) q^{63} +(0.175549 + 0.0121402i) q^{64} +(11.9986 - 16.1600i) q^{65} +(18.9762 - 11.1020i) q^{66} +(-0.0692856 - 0.0673205i) q^{67} +(-1.40487 + 7.30973i) q^{68} +(2.91413 - 5.96323i) q^{69} +(5.33349 + 0.616484i) q^{70} +(3.90859 - 0.774545i) q^{71} +(-7.19021 - 3.77372i) q^{72} +(-12.6579 + 10.9565i) q^{73} +(-11.6847 + 9.20875i) q^{74} +(-8.33773 + 3.21708i) q^{75} +(33.4363 - 17.0609i) q^{76} +(1.63963 - 3.67129i) q^{77} +(7.38444 - 18.1967i) q^{78} +(-1.57345 - 1.12666i) q^{79} +(-12.7295 + 21.4736i) q^{80} +(-2.22152 - 2.78570i) q^{81} +(7.51700 + 13.3729i) q^{82} +(-8.33758 - 5.27237i) q^{83} +(3.59271 - 0.499302i) q^{84} +(-4.50036 - 3.46355i) q^{85} +(-0.218744 + 1.99292i) q^{86} +(1.06568 - 1.16186i) q^{87} +(27.9378 + 31.1720i) q^{88} +(-0.830958 - 9.60396i) q^{89} +(9.06279 - 6.48937i) q^{90} +(-0.839423 - 3.49202i) q^{91} +(22.0120 + 5.69495i) q^{92} +(3.09609 - 4.83427i) q^{93} +(1.13864 - 0.0787436i) q^{94} +(0.164780 + 28.6379i) q^{95} +(-2.10947 + 7.28272i) q^{96} +(1.47516 + 11.0817i) q^{97} +(-12.2496 + 11.6311i) q^{98} +(-2.59780 - 7.93304i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.54982 0.0293438i −1.80300 0.0207492i −0.896519 0.443004i \(-0.853913\pi\)
−0.906477 + 0.422255i \(0.861239\pi\)
\(3\) 0.292466 1.28138i 0.168855 0.739803i −0.817602 0.575784i \(-0.804697\pi\)
0.986457 0.164019i \(-0.0524460\pi\)
\(4\) 4.50126 + 0.103616i 2.25063 + 0.0518082i
\(5\) −1.61382 + 3.03235i −0.721722 + 1.35611i 0.204401 + 0.978887i \(0.434475\pi\)
−0.926124 + 0.377220i \(0.876880\pi\)
\(6\) −0.783337 + 3.25870i −0.319796 + 1.33036i
\(7\) 0.230485 + 0.567960i 0.0871152 + 0.214669i 0.963928 0.266163i \(-0.0857560\pi\)
−0.876813 + 0.480832i \(0.840335\pi\)
\(8\) −6.37743 0.220256i −2.25476 0.0778721i
\(9\) 1.14652 + 0.552133i 0.382172 + 0.184044i
\(10\) 4.20394 7.68459i 1.32940 2.43008i
\(11\) −4.54412 4.73093i −1.37010 1.42643i −0.792098 0.610394i \(-0.791011\pi\)
−0.578005 0.816033i \(-0.696168\pi\)
\(12\) 1.44924 5.73751i 0.418359 1.65628i
\(13\) −5.79396 0.873299i −1.60696 0.242210i −0.716603 0.697481i \(-0.754304\pi\)
−0.890353 + 0.455272i \(0.849542\pi\)
\(14\) −0.571030 1.45496i −0.152614 0.388855i
\(15\) 3.41359 + 2.95477i 0.881386 + 0.762919i
\(16\) 7.25948 + 0.334395i 1.81487 + 0.0835988i
\(17\) −0.274578 + 1.63025i −0.0665950 + 0.395394i 0.932793 + 0.360413i \(0.117364\pi\)
−0.999388 + 0.0349809i \(0.988863\pi\)
\(18\) −2.90721 1.44148i −0.685236 0.339761i
\(19\) 7.33708 3.95915i 1.68324 0.908290i 0.702823 0.711365i \(-0.251923\pi\)
0.980418 0.196926i \(-0.0630958\pi\)
\(20\) −7.57843 + 13.4822i −1.69459 + 3.01471i
\(21\) 0.795181 0.129229i 0.173523 0.0282002i
\(22\) 11.4479 + 12.1964i 2.44069 + 2.60027i
\(23\) 4.91671 + 1.15201i 1.02520 + 0.240211i 0.706552 0.707661i \(-0.250250\pi\)
0.318652 + 0.947872i \(0.396770\pi\)
\(24\) −2.14741 + 8.10748i −0.438339 + 1.65493i
\(25\) −3.79793 5.64000i −0.759587 1.12800i
\(26\) 14.7479 + 2.39677i 2.89231 + 0.470046i
\(27\) 3.50122 4.39039i 0.673810 0.844931i
\(28\) 0.978624 + 2.58042i 0.184943 + 0.487654i
\(29\) 1.04226 + 0.593778i 0.193542 + 0.110262i 0.588700 0.808351i \(-0.299640\pi\)
−0.395158 + 0.918613i \(0.629310\pi\)
\(30\) −8.61735 7.63431i −1.57331 1.39383i
\(31\) 4.11008 + 1.47812i 0.738193 + 0.265478i 0.680390 0.732850i \(-0.261810\pi\)
0.0578028 + 0.998328i \(0.481591\pi\)
\(32\) −5.75923 0.331743i −1.01810 0.0586444i
\(33\) −7.39110 + 4.43909i −1.28663 + 0.772747i
\(34\) 0.747964 4.14879i 0.128275 0.711511i
\(35\) −2.09422 0.217675i −0.353987 0.0367937i
\(36\) 5.10356 + 2.60409i 0.850593 + 0.434015i
\(37\) 4.54039 3.66378i 0.746435 0.602321i −0.177835 0.984060i \(-0.556909\pi\)
0.924270 + 0.381739i \(0.124675\pi\)
\(38\) −18.8244 + 9.87982i −3.05372 + 1.60272i
\(39\) −2.81356 + 7.16884i −0.450531 + 1.14793i
\(40\) 10.9599 18.9831i 1.73292 3.00150i
\(41\) −3.00801 5.21002i −0.469771 0.813668i 0.529631 0.848228i \(-0.322330\pi\)
−0.999403 + 0.0345600i \(0.988997\pi\)
\(42\) −2.03136 + 0.306178i −0.313446 + 0.0472444i
\(43\) 0.0767831 0.782476i 0.0117093 0.119327i −0.987575 0.157147i \(-0.949770\pi\)
0.999285 + 0.0378203i \(0.0120415\pi\)
\(44\) −19.9640 21.7660i −3.00969 3.28134i
\(45\) −3.52453 + 2.58559i −0.525406 + 0.385437i
\(46\) −12.5029 3.08169i −1.84346 0.454371i
\(47\) −0.446142 + 0.0360163i −0.0650764 + 0.00525351i −0.112962 0.993599i \(-0.536034\pi\)
0.0478855 + 0.998853i \(0.484752\pi\)
\(48\) 2.55164 9.20434i 0.368297 1.32853i
\(49\) 4.75098 4.61622i 0.678711 0.659461i
\(50\) 9.51856 + 14.4924i 1.34613 + 2.04954i
\(51\) 2.00866 + 0.828631i 0.281269 + 0.116032i
\(52\) −25.9896 4.53130i −3.60412 0.628378i
\(53\) 7.19620 2.49485i 0.988475 0.342693i 0.215065 0.976600i \(-0.431004\pi\)
0.773410 + 0.633906i \(0.218550\pi\)
\(54\) −9.05632 + 11.0920i −1.23241 + 1.50943i
\(55\) 21.6792 6.14448i 2.92322 0.828521i
\(56\) −1.34481 3.67289i −0.179707 0.490811i
\(57\) −2.92731 10.5595i −0.387732 1.39864i
\(58\) −2.64015 1.54461i −0.346668 0.202817i
\(59\) 2.44712 1.04262i 0.318588 0.135738i −0.226752 0.973953i \(-0.572811\pi\)
0.545340 + 0.838215i \(0.316400\pi\)
\(60\) 15.0593 + 13.6539i 1.94415 + 1.76271i
\(61\) 9.09013 4.24941i 1.16387 0.544082i 0.257382 0.966310i \(-0.417140\pi\)
0.906490 + 0.422228i \(0.138752\pi\)
\(62\) −10.4366 3.88955i −1.32545 0.493973i
\(63\) −0.0493347 + 0.778434i −0.00621558 + 0.0980735i
\(64\) 0.175549 + 0.0121402i 0.0219436 + 0.00151753i
\(65\) 11.9986 16.1600i 1.48824 2.00440i
\(66\) 18.9762 11.1020i 2.33581 1.36656i
\(67\) −0.0692856 0.0673205i −0.00846459 0.00822451i 0.692618 0.721304i \(-0.256457\pi\)
−0.701083 + 0.713080i \(0.747300\pi\)
\(68\) −1.40487 + 7.30973i −0.170365 + 0.886435i
\(69\) 2.91413 5.96323i 0.350820 0.717889i
\(70\) 5.33349 + 0.616484i 0.637474 + 0.0736839i
\(71\) 3.90859 0.774545i 0.463865 0.0919216i 0.0430591 0.999073i \(-0.486290\pi\)
0.420805 + 0.907151i \(0.361748\pi\)
\(72\) −7.19021 3.77372i −0.847375 0.444737i
\(73\) −12.6579 + 10.9565i −1.48150 + 1.28237i −0.609566 + 0.792735i \(0.708656\pi\)
−0.871929 + 0.489632i \(0.837131\pi\)
\(74\) −11.6847 + 9.20875i −1.35832 + 1.07049i
\(75\) −8.33773 + 3.21708i −0.962758 + 0.371476i
\(76\) 33.4363 17.0609i 3.83541 1.95702i
\(77\) 1.63963 3.67129i 0.186853 0.418382i
\(78\) 7.38444 18.1967i 0.836124 2.06037i
\(79\) −1.57345 1.12666i −0.177026 0.126759i 0.490212 0.871603i \(-0.336919\pi\)
−0.667238 + 0.744844i \(0.732524\pi\)
\(80\) −12.7295 + 21.4736i −1.42320 + 2.40082i
\(81\) −2.22152 2.78570i −0.246836 0.309522i
\(82\) 7.51700 + 13.3729i 0.830113 + 1.47679i
\(83\) −8.33758 5.27237i −0.915168 0.578717i −0.00822325 0.999966i \(-0.502618\pi\)
−0.906945 + 0.421249i \(0.861592\pi\)
\(84\) 3.59271 0.499302i 0.391996 0.0544783i
\(85\) −4.50036 3.46355i −0.488133 0.375674i
\(86\) −0.218744 + 1.99292i −0.0235878 + 0.214902i
\(87\) 1.06568 1.16186i 0.114253 0.124565i
\(88\) 27.9378 + 31.1720i 2.97818 + 3.32295i
\(89\) −0.830958 9.60396i −0.0880814 1.01802i −0.900475 0.434908i \(-0.856781\pi\)
0.812394 0.583110i \(-0.198164\pi\)
\(90\) 9.06279 6.48937i 0.955302 0.684040i
\(91\) −0.839423 3.49202i −0.0879955 0.366064i
\(92\) 22.0120 + 5.69495i 2.29491 + 0.593739i
\(93\) 3.09609 4.83427i 0.321049 0.501290i
\(94\) 1.13864 0.0787436i 0.117442 0.00812178i
\(95\) 0.164780 + 28.6379i 0.0169060 + 2.93819i
\(96\) −2.10947 + 7.28272i −0.215297 + 0.743290i
\(97\) 1.47516 + 11.0817i 0.149780 + 1.12518i 0.891028 + 0.453949i \(0.149985\pi\)
−0.741248 + 0.671232i \(0.765766\pi\)
\(98\) −12.2496 + 11.6311i −1.23740 + 1.17492i
\(99\) −2.59780 7.93304i −0.261089 0.797300i
\(100\) −16.5111 25.7806i −1.65111 2.57806i
\(101\) 3.79919 + 5.11684i 0.378033 + 0.509145i 0.950475 0.310801i \(-0.100597\pi\)
−0.572442 + 0.819945i \(0.694004\pi\)
\(102\) −5.09741 2.17180i −0.504719 0.215041i
\(103\) −2.41080 5.23537i −0.237543 0.515856i 0.752162 0.658978i \(-0.229011\pi\)
−0.989705 + 0.143122i \(0.954286\pi\)
\(104\) 36.7582 + 6.84556i 3.60444 + 0.671262i
\(105\) −0.891410 + 2.61982i −0.0869927 + 0.255668i
\(106\) −18.4222 + 6.15025i −1.78933 + 0.597365i
\(107\) 5.71957 1.40975i 0.552932 0.136285i 0.0470566 0.998892i \(-0.485016\pi\)
0.505875 + 0.862607i \(0.331170\pi\)
\(108\) 16.2148 19.3995i 1.56027 1.86672i
\(109\) −9.05578 17.4983i −0.867386 1.67603i −0.727764 0.685827i \(-0.759441\pi\)
−0.139622 0.990205i \(-0.544589\pi\)
\(110\) −55.4584 + 15.0312i −5.28775 + 1.43317i
\(111\) −3.36677 6.88948i −0.319560 0.653921i
\(112\) 1.48328 + 4.20017i 0.140157 + 0.396879i
\(113\) −0.228905 7.95442i −0.0215336 0.748289i −0.937691 0.347470i \(-0.887041\pi\)
0.916157 0.400819i \(-0.131274\pi\)
\(114\) 7.15427 + 27.0107i 0.670059 + 2.52978i
\(115\) −11.4280 + 13.0500i −1.06566 + 1.21692i
\(116\) 4.62995 + 2.78074i 0.429880 + 0.258186i
\(117\) −6.16069 4.20029i −0.569556 0.388317i
\(118\) −6.27032 + 2.58669i −0.577230 + 0.238124i
\(119\) −0.989204 + 0.219799i −0.0906801 + 0.0201489i
\(120\) −21.1192 19.5957i −1.92791 1.78884i
\(121\) −1.28974 + 32.0047i −0.117249 + 2.90952i
\(122\) −23.3029 + 10.5685i −2.10975 + 0.956828i
\(123\) −7.55574 + 2.33064i −0.681278 + 0.210146i
\(124\) 18.3474 + 7.07927i 1.64765 + 0.635737i
\(125\) 6.14842 0.639072i 0.549931 0.0571604i
\(126\) 0.148637 1.98342i 0.0132416 0.176697i
\(127\) −1.05924 + 2.89296i −0.0939924 + 0.256709i −0.977218 0.212240i \(-0.931924\pi\)
0.883225 + 0.468949i \(0.155367\pi\)
\(128\) 11.0529 + 0.892281i 0.976946 + 0.0788672i
\(129\) −0.980191 0.327236i −0.0863010 0.0288115i
\(130\) −31.0684 + 40.8529i −2.72488 + 3.58304i
\(131\) 8.06635 + 1.69516i 0.704760 + 0.148107i 0.544245 0.838926i \(-0.316816\pi\)
0.160515 + 0.987033i \(0.448684\pi\)
\(132\) −33.7292 + 19.2157i −2.93575 + 1.67251i
\(133\) 3.93973 + 3.25465i 0.341618 + 0.282214i
\(134\) 0.174691 + 0.173688i 0.0150910 + 0.0150044i
\(135\) 7.66286 + 17.7022i 0.659514 + 1.52357i
\(136\) 2.11018 10.3363i 0.180946 0.886333i
\(137\) −12.2753 + 0.282570i −1.04875 + 0.0241416i −0.543968 0.839106i \(-0.683079\pi\)
−0.504781 + 0.863248i \(0.668427\pi\)
\(138\) −7.60549 + 15.1197i −0.647423 + 1.28707i
\(139\) 0.871199 + 0.395113i 0.0738941 + 0.0335130i 0.449642 0.893209i \(-0.351552\pi\)
−0.375747 + 0.926722i \(0.622614\pi\)
\(140\) −9.40406 1.19681i −0.794788 0.101149i
\(141\) −0.0843308 + 0.582209i −0.00710193 + 0.0490309i
\(142\) −9.98894 + 1.86026i −0.838253 + 0.156110i
\(143\) 22.1969 + 31.3792i 1.85620 + 2.62406i
\(144\) 8.13848 + 4.39159i 0.678207 + 0.365966i
\(145\) −3.48256 + 2.20224i −0.289211 + 0.182886i
\(146\) 32.5969 27.5658i 2.69774 2.28136i
\(147\) −4.52563 7.43788i −0.373267 0.613466i
\(148\) 20.8171 16.0212i 1.71116 1.31693i
\(149\) 10.8175 11.0059i 0.886207 0.901638i −0.109520 0.993985i \(-0.534931\pi\)
0.995727 + 0.0923464i \(0.0294367\pi\)
\(150\) 21.3541 7.95832i 1.74356 0.649794i
\(151\) −4.24607 14.0520i −0.345540 1.14353i −0.940505 0.339780i \(-0.889647\pi\)
0.594965 0.803752i \(-0.297166\pi\)
\(152\) −47.6637 + 23.6331i −3.86604 + 1.91690i
\(153\) −1.21492 + 1.71750i −0.0982207 + 0.138852i
\(154\) −4.28849 + 9.31301i −0.345576 + 0.750464i
\(155\) −11.1151 + 10.0778i −0.892787 + 0.809468i
\(156\) −13.4074 + 31.9773i −1.07345 + 2.56023i
\(157\) −6.65476 7.96180i −0.531108 0.635421i 0.432853 0.901465i \(-0.357507\pi\)
−0.963961 + 0.266044i \(0.914283\pi\)
\(158\) 3.97894 + 2.91895i 0.316548 + 0.232219i
\(159\) −1.09219 9.95071i −0.0866166 0.789143i
\(160\) 10.3003 16.9286i 0.814312 1.33832i
\(161\) 0.478933 + 3.05802i 0.0377452 + 0.241006i
\(162\) 5.58274 + 7.16822i 0.438621 + 0.563189i
\(163\) 4.08157 12.9668i 0.319693 1.01564i −0.647601 0.761979i \(-0.724228\pi\)
0.967294 0.253656i \(-0.0816331\pi\)
\(164\) −13.0000 23.7633i −1.01513 1.85560i
\(165\) −1.53296 29.5763i −0.119341 2.30251i
\(166\) 21.1046 + 13.6883i 1.63804 + 1.06241i
\(167\) 0.0990767 5.73918i 0.00766678 0.444111i −0.971048 0.238885i \(-0.923218\pi\)
0.978715 0.205226i \(-0.0657929\pi\)
\(168\) −5.09967 + 0.649009i −0.393448 + 0.0500721i
\(169\) 20.3849 + 6.28791i 1.56807 + 0.483685i
\(170\) 11.3735 + 8.96349i 0.872307 + 0.687468i
\(171\) 10.5981 0.488180i 0.810453 0.0373321i
\(172\) 0.426698 3.51417i 0.0325354 0.267953i
\(173\) −3.54144 + 2.35528i −0.269251 + 0.179068i −0.681114 0.732177i \(-0.738504\pi\)
0.411864 + 0.911245i \(0.364878\pi\)
\(174\) −2.75138 + 2.93128i −0.208582 + 0.222220i
\(175\) 2.32793 3.45701i 0.175975 0.261326i
\(176\) −31.4059 35.8636i −2.36731 2.70332i
\(177\) −0.620291 3.44062i −0.0466239 0.258613i
\(178\) 1.83698 + 24.5128i 0.137687 + 1.83731i
\(179\) −6.16759 1.74806i −0.460987 0.130656i 0.0342516 0.999413i \(-0.489095\pi\)
−0.495239 + 0.868757i \(0.664919\pi\)
\(180\) −16.1327 + 11.2732i −1.20246 + 0.840256i
\(181\) 1.48031 + 7.25103i 0.110030 + 0.538965i 0.997018 + 0.0771712i \(0.0245888\pi\)
−0.886987 + 0.461794i \(0.847206\pi\)
\(182\) 2.03791 + 8.92867i 0.151060 + 0.661837i
\(183\) −2.78655 12.8907i −0.205988 0.952907i
\(184\) −31.1022 8.42980i −2.29289 0.621453i
\(185\) 3.78247 + 19.6807i 0.278093 + 1.44696i
\(186\) −8.03633 + 12.2357i −0.589252 + 0.897163i
\(187\) 8.96030 6.10903i 0.655242 0.446737i
\(188\) −2.01193 + 0.115891i −0.146735 + 0.00845223i
\(189\) 3.30055 + 0.976635i 0.240080 + 0.0710397i
\(190\) 0.420187 73.0265i 0.0304835 5.29790i
\(191\) 0.605516 + 9.55423i 0.0438136 + 0.691319i 0.958133 + 0.286325i \(0.0924336\pi\)
−0.914319 + 0.404995i \(0.867273\pi\)
\(192\) 0.0668982 0.221393i 0.00482796 0.0159777i
\(193\) 0.846387 + 5.02524i 0.0609243 + 0.361725i 0.999845 + 0.0175918i \(0.00559993\pi\)
−0.938921 + 0.344133i \(0.888173\pi\)
\(194\) −3.43621 28.2998i −0.246706 2.03180i
\(195\) −17.1978 20.1009i −1.23156 1.43946i
\(196\) 21.8637 20.2866i 1.56169 1.44904i
\(197\) −2.67157 + 3.87044i −0.190341 + 0.275757i −0.906523 0.422157i \(-0.861273\pi\)
0.716181 + 0.697914i \(0.245888\pi\)
\(198\) 6.39114 + 20.3041i 0.454199 + 1.44295i
\(199\) 8.81420 9.17655i 0.624822 0.650509i −0.331284 0.943531i \(-0.607482\pi\)
0.956105 + 0.293023i \(0.0946611\pi\)
\(200\) 22.9788 + 36.8052i 1.62485 + 2.60252i
\(201\) −0.106527 + 0.0690921i −0.00751381 + 0.00487338i
\(202\) −9.53710 13.1585i −0.671028 0.925830i
\(203\) −0.0970174 + 0.728818i −0.00680929 + 0.0511530i
\(204\) 8.95564 + 3.93801i 0.627020 + 0.275716i
\(205\) 20.6530 0.713286i 1.44247 0.0498180i
\(206\) 5.99348 + 13.4200i 0.417585 + 0.935015i
\(207\) 5.00102 + 4.03547i 0.347595 + 0.280485i
\(208\) −41.7691 8.27717i −2.89617 0.573919i
\(209\) −52.0710 16.7204i −3.60182 1.15657i
\(210\) 2.34981 6.65391i 0.162152 0.459163i
\(211\) −24.9310 + 2.88171i −1.71632 + 0.198385i −0.915997 0.401184i \(-0.868599\pi\)
−0.800323 + 0.599569i \(0.795339\pi\)
\(212\) 32.6505 10.4843i 2.24245 0.720065i
\(213\) 0.150646 5.23491i 0.0103221 0.358690i
\(214\) −14.6252 + 3.42677i −0.999761 + 0.234249i
\(215\) 2.24883 + 1.49561i 0.153369 + 0.102000i
\(216\) −23.2958 + 27.2283i −1.58508 + 1.85265i
\(217\) 0.107801 + 2.67505i 0.00731800 + 0.181594i
\(218\) 22.5772 + 44.8833i 1.52912 + 3.03988i
\(219\) 10.3375 + 19.4240i 0.698541 + 1.31255i
\(220\) 98.2204 25.4116i 6.62202 1.71325i
\(221\) 3.01459 9.20581i 0.202783 0.619250i
\(222\) 8.38250 + 17.6657i 0.562597 + 1.18565i
\(223\) 4.74362 + 6.23755i 0.317656 + 0.417698i 0.926913 0.375275i \(-0.122452\pi\)
−0.609257 + 0.792973i \(0.708532\pi\)
\(224\) −1.13900 3.34748i −0.0761027 0.223663i
\(225\) −1.24036 8.56331i −0.0826909 0.570887i
\(226\) 0.350255 + 20.2891i 0.0232986 + 1.34961i
\(227\) 3.84520 6.15887i 0.255215 0.408778i −0.695651 0.718380i \(-0.744884\pi\)
0.950867 + 0.309601i \(0.100196\pi\)
\(228\) −12.0825 47.8343i −0.800181 3.16790i
\(229\) 2.27225 + 23.1559i 0.150155 + 1.53019i 0.711547 + 0.702638i \(0.247995\pi\)
−0.561393 + 0.827550i \(0.689734\pi\)
\(230\) 29.5222 32.9399i 1.94664 2.17199i
\(231\) −4.22477 3.17471i −0.277969 0.208880i
\(232\) −6.51614 4.01634i −0.427806 0.263686i
\(233\) 1.00612 + 1.23227i 0.0659131 + 0.0807290i 0.806509 0.591222i \(-0.201354\pi\)
−0.740596 + 0.671951i \(0.765457\pi\)
\(234\) 15.5854 + 10.8908i 1.01885 + 0.711952i
\(235\) 0.610779 1.41098i 0.0398428 0.0920422i
\(236\) 11.1232 4.43955i 0.724056 0.288990i
\(237\) −1.90385 + 1.68667i −0.123669 + 0.109561i
\(238\) 2.52874 0.531421i 0.163914 0.0344469i
\(239\) −1.80108 + 3.79570i −0.116502 + 0.245523i −0.953322 0.301955i \(-0.902361\pi\)
0.836820 + 0.547478i \(0.184412\pi\)
\(240\) 23.7929 + 22.5916i 1.53582 + 1.45828i
\(241\) −5.44445 + 7.51180i −0.350708 + 0.483878i −0.948056 0.318104i \(-0.896954\pi\)
0.597348 + 0.801982i \(0.296221\pi\)
\(242\) 4.22776 81.5684i 0.271770 5.24341i
\(243\) 10.9590 5.27757i 0.703019 0.338556i
\(244\) 41.3573 18.1858i 2.64763 1.16423i
\(245\) 6.33078 + 21.8564i 0.404458 + 1.39635i
\(246\) 19.3342 5.72099i 1.23270 0.364757i
\(247\) −45.9683 + 16.5317i −2.92489 + 1.05189i
\(248\) −25.8862 10.3319i −1.64378 0.656074i
\(249\) −9.19435 + 9.14160i −0.582668 + 0.579325i
\(250\) −15.6961 + 1.44910i −0.992710 + 0.0916493i
\(251\) 15.5908 11.7158i 0.984085 0.739492i 0.0185672 0.999828i \(-0.494090\pi\)
0.965518 + 0.260335i \(0.0838331\pi\)
\(252\) −0.302727 + 3.49882i −0.0190700 + 0.220405i
\(253\) −16.8920 28.4954i −1.06199 1.79149i
\(254\) 2.78576 7.34546i 0.174794 0.460895i
\(255\) −5.75431 + 4.75369i −0.360349 + 0.297688i
\(256\) −28.5071 2.63184i −1.78170 0.164490i
\(257\) 10.7261 6.61120i 0.669073 0.412395i −0.147954 0.988994i \(-0.547269\pi\)
0.817027 + 0.576599i \(0.195620\pi\)
\(258\) 2.48971 + 0.863155i 0.155003 + 0.0537377i
\(259\) 3.12737 + 1.73432i 0.194326 + 0.107765i
\(260\) 55.6831 71.4970i 3.45332 4.43405i
\(261\) 0.867120 + 1.25624i 0.0536734 + 0.0777593i
\(262\) −20.5180 4.55906i −1.26761 0.281660i
\(263\) 4.89340 0.853165i 0.301740 0.0526084i −0.0188630 0.999822i \(-0.506005\pi\)
0.320603 + 0.947214i \(0.396115\pi\)
\(264\) 48.1140 26.6821i 2.96121 1.64217i
\(265\) −4.04814 + 25.8476i −0.248675 + 1.58781i
\(266\) −9.95010 8.41438i −0.610080 0.515918i
\(267\) −12.5493 1.74406i −0.768006 0.106735i
\(268\) −0.304897 0.310206i −0.0186246 0.0189489i
\(269\) 25.3563 + 11.8534i 1.54600 + 0.722717i 0.993819 0.111009i \(-0.0354081\pi\)
0.552179 + 0.833725i \(0.313796\pi\)
\(270\) −19.0195 45.3624i −1.15749 2.76067i
\(271\) −5.52285 + 10.6717i −0.335489 + 0.648259i −0.994599 0.103788i \(-0.966904\pi\)
0.659110 + 0.752046i \(0.270933\pi\)
\(272\) −2.53844 + 11.7430i −0.153916 + 0.712021i
\(273\) −4.72010 + 0.0543198i −0.285674 + 0.00328758i
\(274\) 31.3081 0.360299i 1.89139 0.0217665i
\(275\) −9.42416 + 43.5966i −0.568298 + 2.62897i
\(276\) 13.7351 26.5401i 0.826758 1.59753i
\(277\) −4.17227 9.95108i −0.250688 0.597903i 0.747076 0.664738i \(-0.231457\pi\)
−0.997764 + 0.0668357i \(0.978710\pi\)
\(278\) −2.20981 1.03303i −0.132536 0.0619571i
\(279\) 3.89616 + 3.96400i 0.233257 + 0.237318i
\(280\) 13.3078 + 1.84947i 0.795292 + 0.110527i
\(281\) −0.407001 0.344184i −0.0242797 0.0205323i 0.633500 0.773743i \(-0.281618\pi\)
−0.657780 + 0.753211i \(0.728504\pi\)
\(282\) 0.232113 1.48206i 0.0138221 0.0882551i
\(283\) 6.50987 3.61011i 0.386972 0.214599i −0.279473 0.960154i \(-0.590160\pi\)
0.666444 + 0.745555i \(0.267815\pi\)
\(284\) 17.6738 3.08144i 1.04875 0.182850i
\(285\) 36.7442 + 8.16448i 2.17654 + 0.483622i
\(286\) −55.6774 80.6626i −3.29227 4.76968i
\(287\) 2.26578 2.90926i 0.133745 0.171728i
\(288\) −6.41988 3.56021i −0.378295 0.209787i
\(289\) 13.4798 + 4.67330i 0.792928 + 0.274900i
\(290\) 8.94452 5.51312i 0.525240 0.323741i
\(291\) 14.6313 + 1.35080i 0.857704 + 0.0791852i
\(292\) −58.1118 + 48.0067i −3.40074 + 2.80938i
\(293\) 1.94996 5.14163i 0.113918 0.300377i −0.865916 0.500189i \(-0.833264\pi\)
0.979834 + 0.199812i \(0.0640330\pi\)
\(294\) 11.3213 + 19.0981i 0.660271 + 1.11382i
\(295\) −0.787625 + 9.10313i −0.0458573 + 0.530005i
\(296\) −29.7630 + 22.3654i −1.72994 + 1.29996i
\(297\) −36.6806 + 3.38643i −2.12842 + 0.196501i
\(298\) −27.9058 + 27.7457i −1.61654 + 1.60726i
\(299\) −27.4812 10.9685i −1.58928 0.634322i
\(300\) −37.8636 + 13.6170i −2.18606 + 0.786177i
\(301\) 0.462113 0.136739i 0.0266357 0.00788153i
\(302\) 10.4144 + 35.9546i 0.599280 + 2.06895i
\(303\) 7.66773 3.37169i 0.440500 0.193699i
\(304\) 54.5873 26.2879i 3.13080 1.50771i
\(305\) −1.78413 + 34.4222i −0.102159 + 1.97101i
\(306\) 3.14823 4.34368i 0.179973 0.248311i
\(307\) 6.16791 + 5.85650i 0.352021 + 0.334248i 0.843984 0.536368i \(-0.180204\pi\)
−0.491963 + 0.870616i \(0.663720\pi\)
\(308\) 7.76079 16.3555i 0.442212 0.931943i
\(309\) −7.41355 + 1.55797i −0.421742 + 0.0886301i
\(310\) 28.6373 25.3704i 1.62649 1.44094i
\(311\) −21.9543 + 8.76252i −1.24491 + 0.496877i −0.897574 0.440863i \(-0.854672\pi\)
−0.347337 + 0.937740i \(0.612914\pi\)
\(312\) 19.5223 45.0991i 1.10523 2.55323i
\(313\) −15.1199 10.5655i −0.854626 0.597195i 0.0614906 0.998108i \(-0.480415\pi\)
−0.916116 + 0.400913i \(0.868693\pi\)
\(314\) 16.7348 + 20.4964i 0.944401 + 1.15668i
\(315\) −2.28087 1.40585i −0.128512 0.0792108i
\(316\) −6.96575 5.23442i −0.391854 0.294459i
\(317\) 7.93118 8.84934i 0.445459 0.497028i −0.479263 0.877671i \(-0.659096\pi\)
0.924722 + 0.380643i \(0.124297\pi\)
\(318\) 2.49291 + 25.4046i 0.139795 + 1.42462i
\(319\) −1.92702 7.62904i −0.107892 0.427144i
\(320\) −0.320117 + 0.512732i −0.0178951 + 0.0286626i
\(321\) −0.133638 7.74123i −0.00745897 0.432073i
\(322\) −1.13146 7.81145i −0.0630538 0.435315i
\(323\) 4.43979 + 13.0484i 0.247037 + 0.726031i
\(324\) −9.71100 12.7693i −0.539500 0.709408i
\(325\) 17.0797 + 35.9947i 0.947410 + 1.99662i
\(326\) −10.7878 + 32.9432i −0.597480 + 1.82455i
\(327\) −25.0704 + 6.48622i −1.38640 + 0.358689i
\(328\) 18.0358 + 33.8891i 0.995861 + 1.87121i
\(329\) −0.123285 0.245090i −0.00679692 0.0135122i
\(330\) 3.04090 + 75.4592i 0.167396 + 4.15389i
\(331\) −9.82694 + 11.4858i −0.540137 + 0.631315i −0.961245 0.275695i \(-0.911092\pi\)
0.421108 + 0.907011i \(0.361641\pi\)
\(332\) −36.9833 24.5962i −2.02972 1.34989i
\(333\) 7.22852 1.69368i 0.396120 0.0928130i
\(334\) −0.421037 + 14.6310i −0.0230381 + 0.800572i
\(335\) 0.315954 0.101455i 0.0172624 0.00554308i
\(336\) 5.81581 0.672234i 0.317279 0.0366734i
\(337\) −1.05082 + 2.97558i −0.0572418 + 0.162090i −0.968061 0.250716i \(-0.919334\pi\)
0.910819 + 0.412806i \(0.135451\pi\)
\(338\) −51.7933 16.6312i −2.81719 0.904619i
\(339\) −10.2596 2.03308i −0.557223 0.110422i
\(340\) −19.8984 16.0566i −1.07914 0.870794i
\(341\) −11.6838 26.1612i −0.632715 1.41671i
\(342\) −27.0375 + 0.933785i −1.46202 + 0.0504933i
\(343\) 7.64453 + 3.36149i 0.412766 + 0.181503i
\(344\) −0.662024 + 4.97328i −0.0356939 + 0.268141i
\(345\) 13.3797 + 18.4602i 0.720340 + 0.993866i
\(346\) 9.09915 5.90162i 0.489173 0.317273i
\(347\) −13.4523 21.5465i −0.722155 1.15668i −0.981606 0.190920i \(-0.938853\pi\)
0.259451 0.965756i \(-0.416458\pi\)
\(348\) 4.91728 5.11943i 0.263594 0.274430i
\(349\) 1.82076 + 5.78438i 0.0974630 + 0.309631i 0.989945 0.141452i \(-0.0451771\pi\)
−0.892482 + 0.451083i \(0.851038\pi\)
\(350\) −6.03724 + 8.74646i −0.322704 + 0.467518i
\(351\) −24.1201 + 22.3802i −1.28743 + 1.19456i
\(352\) 24.6012 + 28.7540i 1.31125 + 1.53259i
\(353\) −4.24365 34.9496i −0.225867 1.86018i −0.459926 0.887957i \(-0.652124\pi\)
0.234060 0.972222i \(-0.424799\pi\)
\(354\) 1.48067 + 8.79116i 0.0786968 + 0.467245i
\(355\) −3.95907 + 13.1022i −0.210126 + 0.695392i
\(356\) −2.74523 43.3160i −0.145497 2.29574i
\(357\) −0.00766319 + 1.33183i −0.000405579 + 0.0704877i
\(358\) 15.6750 + 4.63823i 0.828447 + 0.245138i
\(359\) 17.9604 1.03455i 0.947913 0.0546016i 0.423343 0.905969i \(-0.360856\pi\)
0.524569 + 0.851368i \(0.324226\pi\)
\(360\) 23.0469 15.7131i 1.21468 0.828155i
\(361\) 27.7274 42.2162i 1.45934 2.22191i
\(362\) −3.56175 18.5323i −0.187201 0.974035i
\(363\) 40.6328 + 11.0129i 2.13267 + 0.578029i
\(364\) −3.41663 15.8055i −0.179080 0.828433i
\(365\) −12.7965 56.0651i −0.669799 2.93458i
\(366\) 6.72694 + 32.9507i 0.351623 + 1.72236i
\(367\) −17.3322 + 12.1114i −0.904735 + 0.632210i −0.930035 0.367470i \(-0.880224\pi\)
0.0253008 + 0.999680i \(0.491946\pi\)
\(368\) 35.3075 + 10.0071i 1.84053 + 0.521657i
\(369\) −0.572103 7.63419i −0.0297825 0.397420i
\(370\) −9.06712 50.2933i −0.471377 2.61463i
\(371\) 3.07559 + 3.51213i 0.159677 + 0.182341i
\(372\) 14.4372 21.4395i 0.748534 1.11159i
\(373\) 3.44892 3.67442i 0.178578 0.190254i −0.633605 0.773657i \(-0.718425\pi\)
0.812183 + 0.583402i \(0.198279\pi\)
\(374\) −23.0264 + 15.3140i −1.19067 + 0.791869i
\(375\) 0.979311 8.06535i 0.0505714 0.416493i
\(376\) 2.85317 0.131426i 0.147141 0.00677779i
\(377\) −5.52025 4.35053i −0.284307 0.224064i
\(378\) −8.38716 2.58709i −0.431389 0.133066i
\(379\) 4.16001 0.529423i 0.213685 0.0271946i −0.0186695 0.999826i \(-0.505943\pi\)
0.232355 + 0.972631i \(0.425357\pi\)
\(380\) −2.22564 + 128.924i −0.114173 + 6.61366i
\(381\) 3.39718 + 2.20338i 0.174043 + 0.112883i
\(382\) −1.26360 24.3793i −0.0646515 1.24736i
\(383\) −4.10252 7.49920i −0.209629 0.383191i 0.751311 0.659948i \(-0.229422\pi\)
−0.960940 + 0.276757i \(0.910740\pi\)
\(384\) 4.37594 13.9019i 0.223309 0.709431i
\(385\) 8.48656 + 10.8967i 0.432515 + 0.555348i
\(386\) −2.01068 12.8383i −0.102341 0.653452i
\(387\) 0.520064 0.854727i 0.0264363 0.0434482i
\(388\) 5.49183 + 50.0347i 0.278805 + 2.54013i
\(389\) 3.55721 + 2.60956i 0.180358 + 0.132310i 0.677971 0.735089i \(-0.262860\pi\)
−0.497613 + 0.867399i \(0.665790\pi\)
\(390\) 43.2616 + 51.7584i 2.19063 + 2.62089i
\(391\) −3.22809 + 7.69914i −0.163251 + 0.389362i
\(392\) −31.3158 + 28.3932i −1.58169 + 1.43407i
\(393\) 4.53127 9.84026i 0.228573 0.496375i
\(394\) 6.92560 9.79053i 0.348907 0.493240i
\(395\) 5.95568 2.95301i 0.299663 0.148582i
\(396\) −10.8714 35.9778i −0.546308 1.80795i
\(397\) −11.5413 + 4.30126i −0.579243 + 0.215874i −0.621741 0.783223i \(-0.713574\pi\)
0.0424985 + 0.999097i \(0.486468\pi\)
\(398\) −22.7439 + 23.1399i −1.14005 + 1.15990i
\(399\) 5.32267 4.09640i 0.266467 0.205077i
\(400\) −25.6851 42.2135i −1.28425 2.11067i
\(401\) −12.0428 + 10.1841i −0.601391 + 0.508571i −0.894240 0.447588i \(-0.852283\pi\)
0.292849 + 0.956159i \(0.405397\pi\)
\(402\) 0.273651 0.173047i 0.0136485 0.00863078i
\(403\) −22.5228 12.1535i −1.12194 0.605409i
\(404\) 16.5709 + 23.4259i 0.824435 + 1.16548i
\(405\) 12.0323 2.24081i 0.597892 0.111347i
\(406\) 0.268763 1.85551i 0.0133385 0.0920874i
\(407\) −37.9651 4.83162i −1.88186 0.239495i
\(408\) −12.6276 5.72696i −0.625158 0.283527i
\(409\) 4.15696 8.26401i 0.205548 0.408629i −0.766893 0.641774i \(-0.778199\pi\)
0.972442 + 0.233145i \(0.0749018\pi\)
\(410\) −52.6823 + 1.21272i −2.60179 + 0.0598917i
\(411\) −3.22803 + 15.8119i −0.159227 + 0.779944i
\(412\) −10.3092 23.8155i −0.507896 1.17331i
\(413\) 1.15619 + 1.14956i 0.0568925 + 0.0565661i
\(414\) −12.6333 10.4365i −0.620893 0.512925i
\(415\) 29.4430 16.7738i 1.44530 0.823393i
\(416\) 33.0791 + 6.95164i 1.62183 + 0.340832i
\(417\) 0.761085 1.00078i 0.0372705 0.0490083i
\(418\) 132.281 + 44.1619i 6.47008 + 2.16003i
\(419\) −31.1261 2.51276i −1.52061 0.122756i −0.708271 0.705940i \(-0.750525\pi\)
−0.812340 + 0.583184i \(0.801807\pi\)
\(420\) −4.28393 + 11.7001i −0.209034 + 0.570907i
\(421\) −1.75125 + 23.3688i −0.0853506 + 1.13892i 0.775938 + 0.630809i \(0.217277\pi\)
−0.861289 + 0.508116i \(0.830342\pi\)
\(422\) 63.6542 6.61627i 3.09864 0.322075i
\(423\) −0.531394 0.205036i −0.0258373 0.00996920i
\(424\) −46.4428 + 14.3257i −2.25546 + 0.695718i
\(425\) 10.2374 4.64296i 0.496589 0.225217i
\(426\) −0.537731 + 13.3437i −0.0260532 + 0.646503i
\(427\) 4.50864 + 4.18340i 0.218188 + 0.202449i
\(428\) 25.8913 5.75300i 1.25151 0.278082i
\(429\) 46.7004 19.2653i 2.25472 0.930137i
\(430\) −5.69022 3.87953i −0.274407 0.187087i
\(431\) 0.251513 + 0.151058i 0.0121149 + 0.00727623i 0.520918 0.853607i \(-0.325590\pi\)
−0.508803 + 0.860883i \(0.669912\pi\)
\(432\) 26.8852 30.7012i 1.29351 1.47711i
\(433\) 1.42444 + 5.37791i 0.0684540 + 0.258446i 0.992217 0.124518i \(-0.0397385\pi\)
−0.923763 + 0.382964i \(0.874903\pi\)
\(434\) −0.196377 6.82407i −0.00942639 0.327566i
\(435\) 1.80336 + 5.10655i 0.0864647 + 0.244840i
\(436\) −38.9493 79.7027i −1.86533 3.81707i
\(437\) 40.6353 11.0136i 1.94385 0.526851i
\(438\) −25.7887 49.8310i −1.23223 2.38102i
\(439\) 14.1376 16.9143i 0.674752 0.807277i −0.315149 0.949042i \(-0.602054\pi\)
0.989900 + 0.141765i \(0.0452778\pi\)
\(440\) −139.611 + 34.4110i −6.65569 + 1.64048i
\(441\) 7.99584 2.66940i 0.380754 0.127114i
\(442\) −7.95681 + 23.3847i −0.378467 + 1.11230i
\(443\) 32.3299 + 6.02086i 1.53604 + 0.286060i 0.882311 0.470668i \(-0.155987\pi\)
0.653730 + 0.756728i \(0.273203\pi\)
\(444\) −14.4408 31.3602i −0.685332 1.48829i
\(445\) 30.4636 + 12.9793i 1.44411 + 0.615278i
\(446\) −11.9123 16.0438i −0.564066 0.759698i
\(447\) −10.9389 17.0802i −0.517394 0.807866i
\(448\) 0.0335662 + 0.102503i 0.00158585 + 0.00484280i
\(449\) 11.8954 11.2948i 0.561376 0.533033i −0.354204 0.935168i \(-0.615248\pi\)
0.915580 + 0.402135i \(0.131732\pi\)
\(450\) 2.91143 + 21.8713i 0.137246 + 1.03102i
\(451\) −10.9795 + 37.9056i −0.517004 + 1.78490i
\(452\) −0.206154 35.8286i −0.00969668 1.68524i
\(453\) −19.2477 + 1.33109i −0.904335 + 0.0625401i
\(454\) −9.98531 + 15.5912i −0.468634 + 0.731731i
\(455\) 11.9437 + 3.09008i 0.559930 + 0.144865i
\(456\) 16.3430 + 67.9871i 0.765329 + 3.18379i
\(457\) 6.70326 4.79984i 0.313565 0.224527i −0.414476 0.910060i \(-0.636035\pi\)
0.728041 + 0.685533i \(0.240431\pi\)
\(458\) −5.11436 59.1102i −0.238978 2.76204i
\(459\) 6.19608 + 6.91337i 0.289208 + 0.322689i
\(460\) −52.7925 + 57.5575i −2.46146 + 2.68363i
\(461\) −1.30866 + 11.9229i −0.0609503 + 0.555303i 0.923991 + 0.382414i \(0.124907\pi\)
−0.984941 + 0.172889i \(0.944690\pi\)
\(462\) 10.6792 + 8.21891i 0.496844 + 0.382378i
\(463\) 17.0681 2.37206i 0.793220 0.110239i 0.270474 0.962727i \(-0.412820\pi\)
0.522746 + 0.852488i \(0.324908\pi\)
\(464\) 7.36769 + 4.65905i 0.342036 + 0.216291i
\(465\) 9.66266 + 17.1901i 0.448095 + 0.797170i
\(466\) −2.52927 3.17160i −0.117166 0.146922i
\(467\) −14.3547 + 24.2152i −0.664256 + 1.12055i 0.320607 + 0.947212i \(0.396113\pi\)
−0.984863 + 0.173333i \(0.944546\pi\)
\(468\) −27.2957 19.5449i −1.26174 0.903465i
\(469\) 0.0222661 0.0548679i 0.00102815 0.00253356i
\(470\) −1.59878 + 3.57983i −0.0737462 + 0.165125i
\(471\) −12.1484 + 6.19871i −0.559767 + 0.285621i
\(472\) −15.8360 + 6.11025i −0.728911 + 0.281247i
\(473\) −4.05075 + 3.19241i −0.186254 + 0.146787i
\(474\) 4.90398 4.24484i 0.225247 0.194972i
\(475\) −50.1953 26.3445i −2.30312 1.20877i
\(476\) −4.47544 + 0.886874i −0.205131 + 0.0406498i
\(477\) 9.62805 + 1.11288i 0.440838 + 0.0509553i
\(478\) 4.70382 9.62551i 0.215148 0.440261i
\(479\) −3.54652 + 18.4531i −0.162045 + 0.843141i 0.805914 + 0.592033i \(0.201674\pi\)
−0.967959 + 0.251109i \(0.919205\pi\)
\(480\) −18.6795 18.1496i −0.852596 0.828414i
\(481\) −29.5064 + 17.2627i −1.34538 + 0.787110i
\(482\) 14.1028 18.9940i 0.642365 0.865153i
\(483\) 4.05854 + 0.280672i 0.184670 + 0.0127710i
\(484\) −9.12168 + 143.928i −0.414622 + 6.54217i
\(485\) −35.9844 13.4108i −1.63397 0.608951i
\(486\) −28.0983 + 13.1353i −1.27457 + 0.595829i
\(487\) 14.2914 + 12.9576i 0.647605 + 0.587167i 0.927937 0.372736i \(-0.121580\pi\)
−0.280333 + 0.959903i \(0.590445\pi\)
\(488\) −58.9076 + 25.0982i −2.66662 + 1.13614i
\(489\) −15.4216 9.02237i −0.697389 0.408006i
\(490\) −15.5010 55.9156i −0.700264 2.52601i
\(491\) −2.26764 6.19330i −0.102337 0.279500i 0.877409 0.479743i \(-0.159270\pi\)
−0.979746 + 0.200243i \(0.935827\pi\)
\(492\) −34.2518 + 9.70790i −1.54419 + 0.437666i
\(493\) −1.25419 + 1.53610i −0.0564857 + 0.0691825i
\(494\) 117.696 40.8039i 5.29539 1.83586i
\(495\) 28.2481 + 4.92506i 1.26966 + 0.221365i
\(496\) 29.3428 + 12.1048i 1.31753 + 0.543520i
\(497\) 1.34078 + 2.04140i 0.0601424 + 0.0915695i
\(498\) 23.7122 23.0396i 1.06257 1.03243i
\(499\) −8.38407 + 30.2432i −0.375322 + 1.35387i 0.498188 + 0.867069i \(0.333999\pi\)
−0.873511 + 0.486804i \(0.838162\pi\)
\(500\) 27.7419 2.23955i 1.24065 0.100156i
\(501\) −7.32508 1.80547i −0.327260 0.0806624i
\(502\) −40.0977 + 29.4156i −1.78965 + 1.31288i
\(503\) −1.01595 1.10765i −0.0452990 0.0493876i 0.713890 0.700258i \(-0.246932\pi\)
−0.759189 + 0.650870i \(0.774404\pi\)
\(504\) 0.486083 4.95354i 0.0216519 0.220648i
\(505\) −21.6472 + 3.26280i −0.963290 + 0.145193i
\(506\) 42.2355 + 73.1540i 1.87760 + 3.25209i
\(507\) 14.0191 24.2817i 0.622609 1.07839i
\(508\) −5.06768 + 12.9122i −0.224842 + 0.572887i
\(509\) −3.74890 + 1.96757i −0.166167 + 0.0872112i −0.545756 0.837944i \(-0.683758\pi\)
0.379589 + 0.925155i \(0.376065\pi\)
\(510\) 14.8120 11.9522i 0.655885 0.529253i
\(511\) −9.14035 4.66387i −0.404345 0.206317i
\(512\) 50.5521 + 5.25443i 2.23411 + 0.232215i
\(513\) 8.30654 46.0745i 0.366742 2.03424i
\(514\) −27.5435 + 16.5426i −1.21489 + 0.729665i
\(515\) 19.7660 + 1.13856i 0.870996 + 0.0501710i
\(516\) −4.37819 1.57454i −0.192739 0.0693151i
\(517\) 2.19771 + 1.94700i 0.0966551 + 0.0856290i
\(518\) −7.92335 4.51396i −0.348132 0.198332i
\(519\) 1.98225 + 5.22676i 0.0870110 + 0.229429i
\(520\) −80.0793 + 100.416i −3.51171 + 4.40355i
\(521\) −3.95492 0.642738i −0.173268 0.0281588i 0.0731580 0.997320i \(-0.476692\pi\)
−0.246426 + 0.969162i \(0.579256\pi\)
\(522\) −2.17414 3.22863i −0.0951594 0.141313i
\(523\) −4.57079 + 17.2569i −0.199867 + 0.754590i 0.790062 + 0.613027i \(0.210048\pi\)
−0.989929 + 0.141564i \(0.954787\pi\)
\(524\) 36.1331 + 8.46617i 1.57848 + 0.369846i
\(525\) −3.74890 3.99401i −0.163615 0.174313i
\(526\) −12.5023 + 2.03183i −0.545128 + 0.0885919i
\(527\) −3.53824 + 6.29460i −0.154128 + 0.274197i
\(528\) −55.1400 + 29.7540i −2.39966 + 1.29487i
\(529\) 2.24082 + 1.11107i 0.0974268 + 0.0483072i
\(530\) 11.0805 65.7881i 0.481306 2.85765i
\(531\) 3.38133 + 0.155755i 0.146737 + 0.00675918i
\(532\) 17.3965 + 15.0582i 0.754234 + 0.652857i
\(533\) 12.8784 + 32.8135i 0.557824 + 1.42131i
\(534\) 31.9474 + 4.81529i 1.38250 + 0.208378i
\(535\) −4.95551 + 19.6188i −0.214245 + 0.848195i
\(536\) 0.427037 + 0.444592i 0.0184452 + 0.0192035i
\(537\) −4.04374 + 7.39176i −0.174500 + 0.318978i
\(538\) −64.3061 30.9682i −2.77243 1.33513i
\(539\) −43.4280 1.49986i −1.87058 0.0646036i
\(540\) 32.6583 + 80.4763i 1.40539 + 3.46315i
\(541\) 5.12084 21.3028i 0.220162 0.915880i −0.747627 0.664119i \(-0.768807\pi\)
0.967789 0.251762i \(-0.0810099\pi\)
\(542\) 14.3954 27.0488i 0.618337 1.16185i
\(543\) 9.72424 + 0.223846i 0.417307 + 0.00960616i
\(544\) 2.12218 9.29789i 0.0909879 0.398644i
\(545\) 67.6753 + 0.778819i 2.89889 + 0.0333609i
\(546\) 12.0370 0.515137
\(547\) −10.1160 21.0871i −0.432527 0.901621i
\(548\) −55.2836 −2.36160
\(549\) 12.7682 + 0.146939i 0.544934 + 0.00627119i
\(550\) 25.3092 110.887i 1.07919 4.72823i
\(551\) 9.99798 + 0.230147i 0.425928 + 0.00980461i
\(552\) −19.8981 + 37.3883i −0.846919 + 1.59135i
\(553\) 0.277242 1.15333i 0.0117895 0.0490447i
\(554\) 10.3466 + 25.4959i 0.439583 + 1.08322i
\(555\) 26.3247 + 0.909168i 1.11742 + 0.0385920i
\(556\) 3.88055 + 1.86878i 0.164572 + 0.0792538i
\(557\) −0.921175 + 1.68386i −0.0390314 + 0.0713476i −0.896093 0.443867i \(-0.853606\pi\)
0.857061 + 0.515214i \(0.172288\pi\)
\(558\) −9.81819 10.2218i −0.415637 0.432724i
\(559\) −1.12821 + 4.46658i −0.0477184 + 0.188916i
\(560\) −15.1301 2.28050i −0.639365 0.0963687i
\(561\) −5.20739 13.2682i −0.219856 0.560184i
\(562\) 1.02768 + 0.889550i 0.0433501 + 0.0375234i
\(563\) 39.7106 + 1.82920i 1.67360 + 0.0770914i 0.861931 0.507026i \(-0.169255\pi\)
0.811669 + 0.584117i \(0.198559\pi\)
\(564\) −0.439921 + 2.61194i −0.0185240 + 0.109982i
\(565\) 24.4900 + 12.1429i 1.03030 + 0.510855i
\(566\) −16.7049 + 9.01412i −0.702161 + 0.378892i
\(567\) 1.07014 1.90380i 0.0449416 0.0799520i
\(568\) −25.0974 + 4.07872i −1.05306 + 0.171139i
\(569\) −7.73105 8.23653i −0.324103 0.345293i 0.546340 0.837564i \(-0.316021\pi\)
−0.870442 + 0.492270i \(0.836167\pi\)
\(570\) −93.4515 21.8962i −3.91425 0.917130i
\(571\) −2.31262 + 8.73121i −0.0967801 + 0.365390i −0.997635 0.0687298i \(-0.978105\pi\)
0.900855 + 0.434120i \(0.142941\pi\)
\(572\) 96.6627 + 143.546i 4.04167 + 6.00195i
\(573\) 12.4197 + 2.01839i 0.518839 + 0.0843195i
\(574\) −5.86271 + 7.35161i −0.244705 + 0.306850i
\(575\) −12.1760 32.1055i −0.507774 1.33889i
\(576\) 0.194566 + 0.110845i 0.00810692 + 0.00461855i
\(577\) 12.2498 + 10.8523i 0.509964 + 0.451789i 0.878443 0.477847i \(-0.158583\pi\)
−0.368479 + 0.929636i \(0.620121\pi\)
\(578\) −34.2339 12.3116i −1.42394 0.512096i
\(579\) 6.68676 + 0.385170i 0.277892 + 0.0160071i
\(580\) −15.9041 + 9.55199i −0.660381 + 0.396625i
\(581\) 1.07281 5.95062i 0.0445075 0.246873i
\(582\) −37.2676 3.87363i −1.54479 0.160567i
\(583\) −44.5033 22.7078i −1.84314 0.940462i
\(584\) 83.1381 67.0867i 3.44028 2.77607i
\(585\) 22.6790 11.9028i 0.937660 0.492122i
\(586\) −5.12294 + 13.0530i −0.211627 + 0.539216i
\(587\) −14.4670 + 25.0575i −0.597115 + 1.03423i 0.396130 + 0.918195i \(0.370353\pi\)
−0.993245 + 0.116039i \(0.962980\pi\)
\(588\) −19.6003 33.9488i −0.808304 1.40002i
\(589\) 36.0081 5.42735i 1.48369 0.223630i
\(590\) 2.27542 23.1882i 0.0936777 0.954645i
\(591\) 4.17815 + 4.55526i 0.171866 + 0.187378i
\(592\) 34.1860 25.0788i 1.40504 1.03073i
\(593\) −12.7718 3.14797i −0.524476 0.129272i −0.0318162 0.999494i \(-0.510129\pi\)
−0.492660 + 0.870222i \(0.663975\pi\)
\(594\) 93.6283 7.55846i 3.84162 0.310127i
\(595\) 0.929890 3.35433i 0.0381218 0.137514i
\(596\) 49.8330 48.4195i 2.04124 1.98334i
\(597\) −9.18077 13.9781i −0.375744 0.572087i
\(598\) 69.7502 + 28.7740i 2.85230 + 1.17666i
\(599\) −4.48500 0.781960i −0.183252 0.0319500i 0.0793885 0.996844i \(-0.474703\pi\)
−0.262641 + 0.964894i \(0.584593\pi\)
\(600\) 53.8819 18.6803i 2.19972 0.762619i
\(601\) 9.67357 11.8480i 0.394593 0.483289i −0.538652 0.842528i \(-0.681066\pi\)
0.933245 + 0.359239i \(0.116964\pi\)
\(602\) −1.18232 + 0.335101i −0.0481877 + 0.0136577i
\(603\) −0.0422672 0.115439i −0.00172125 0.00470103i
\(604\) −17.6566 63.6915i −0.718438 2.59157i
\(605\) −94.9679 55.5607i −3.86099 2.25887i
\(606\) −19.6503 + 8.37221i −0.798239 + 0.340098i
\(607\) 31.9245 + 28.9451i 1.29578 + 1.17485i 0.973624 + 0.228159i \(0.0732707\pi\)
0.322152 + 0.946688i \(0.395594\pi\)
\(608\) −43.5694 + 20.3676i −1.76697 + 0.826016i
\(609\) 0.905516 + 0.337470i 0.0366934 + 0.0136750i
\(610\) 5.55930 87.7182i 0.225089 3.55160i
\(611\) 2.61638 + 0.180938i 0.105847 + 0.00731998i
\(612\) −5.64665 + 7.60504i −0.228252 + 0.307416i
\(613\) −12.3611 + 7.23183i −0.499260 + 0.292091i −0.733024 0.680202i \(-0.761892\pi\)
0.233764 + 0.972293i \(0.424896\pi\)
\(614\) −15.5552 15.1140i −0.627758 0.609953i
\(615\) 5.12630 26.6729i 0.206712 1.07555i
\(616\) −11.2652 + 23.0522i −0.453889 + 0.928801i
\(617\) 22.0363 + 2.54711i 0.887146 + 0.102543i 0.546313 0.837581i \(-0.316031\pi\)
0.340833 + 0.940124i \(0.389291\pi\)
\(618\) 18.9490 3.75502i 0.762239 0.151049i
\(619\) −32.6654 17.1441i −1.31293 0.689081i −0.344603 0.938749i \(-0.611986\pi\)
−0.968332 + 0.249668i \(0.919679\pi\)
\(620\) −51.0762 + 44.2111i −2.05127 + 1.77556i
\(621\) 22.2723 17.5528i 0.893755 0.704371i
\(622\) 56.2366 21.6986i 2.25488 0.870036i
\(623\) 5.26315 2.68552i 0.210863 0.107593i
\(624\) −22.8222 + 51.1012i −0.913620 + 2.04569i
\(625\) 4.79958 11.8271i 0.191983 0.473084i
\(626\) 38.2429 + 27.3837i 1.52850 + 1.09447i
\(627\) −36.6541 + 61.8324i −1.46382 + 2.46935i
\(628\) −29.1299 36.5277i −1.16241 1.45761i
\(629\) 4.72618 + 8.40796i 0.188445 + 0.335247i
\(630\) 5.77455 + 3.65160i 0.230064 + 0.145483i
\(631\) 27.4677 3.81736i 1.09347 0.151967i 0.431953 0.901896i \(-0.357825\pi\)
0.661518 + 0.749929i \(0.269913\pi\)
\(632\) 9.78639 + 7.53175i 0.389282 + 0.299597i
\(633\) −3.59891 + 32.7888i −0.143044 + 1.30324i
\(634\) −20.4828 + 22.3315i −0.813474 + 0.886898i
\(635\) −7.06305 7.88071i −0.280288 0.312736i
\(636\) −3.88520 44.9039i −0.154058 1.78056i
\(637\) −31.5583 + 22.5972i −1.25039 + 0.895334i
\(638\) 4.68969 + 19.5092i 0.185667 + 0.772378i
\(639\) 4.90891 + 1.27003i 0.194194 + 0.0502418i
\(640\) −20.5431 + 32.0762i −0.812036 + 1.26792i
\(641\) 23.9306 1.65495i 0.945204 0.0653664i 0.411843 0.911255i \(-0.364885\pi\)
0.533360 + 0.845888i \(0.320929\pi\)
\(642\) 0.113597 + 19.7427i 0.00448333 + 0.779181i
\(643\) 6.65796 22.9859i 0.262564 0.906477i −0.715577 0.698534i \(-0.753836\pi\)
0.978141 0.207943i \(-0.0666768\pi\)
\(644\) 1.83894 + 13.8146i 0.0724644 + 0.544370i
\(645\) 2.57414 2.44418i 0.101357 0.0962395i
\(646\) −10.9378 33.4013i −0.430342 1.31416i
\(647\) −16.2161 25.3201i −0.637522 0.995435i −0.998034 0.0626798i \(-0.980035\pi\)
0.360512 0.932755i \(-0.382602\pi\)
\(648\) 13.5540 + 18.2549i 0.532453 + 0.717120i
\(649\) −16.0526 6.83936i −0.630118 0.268468i
\(650\) −42.4939 92.2812i −1.66675 3.61957i
\(651\) 3.45928 + 0.644228i 0.135580 + 0.0252493i
\(652\) 19.7158 57.9439i 0.772130 2.26926i
\(653\) 30.5586 10.2020i 1.19585 0.399234i 0.352098 0.935963i \(-0.385468\pi\)
0.843755 + 0.536729i \(0.180340\pi\)
\(654\) 64.1154 15.8030i 2.50711 0.617948i
\(655\) −18.1580 + 21.7243i −0.709490 + 0.848838i
\(656\) −20.0944 38.8279i −0.784553 1.51597i
\(657\) −20.5620 + 5.57301i −0.802198 + 0.217424i
\(658\) 0.307163 + 0.628552i 0.0119744 + 0.0245035i
\(659\) −11.6584 33.0127i −0.454145 1.28599i −0.916762 0.399435i \(-0.869206\pi\)
0.462616 0.886559i \(-0.346911\pi\)
\(660\) −3.83568 133.289i −0.149304 5.18828i
\(661\) 7.86403 + 29.6904i 0.305875 + 1.15482i 0.928206 + 0.372067i \(0.121351\pi\)
−0.622331 + 0.782754i \(0.713814\pi\)
\(662\) 25.3940 28.9983i 0.986965 1.12705i
\(663\) −10.9145 6.55522i −0.423882 0.254584i
\(664\) 52.0111 + 35.4606i 2.01842 + 1.37614i
\(665\) −16.2272 + 6.69421i −0.629265 + 0.259590i
\(666\) −18.4811 + 4.10647i −0.716129 + 0.159122i
\(667\) 4.44044 + 4.12012i 0.171934 + 0.159532i
\(668\) 1.04064 25.8233i 0.0402637 0.999133i
\(669\) 9.38001 4.25409i 0.362652 0.164473i
\(670\) −0.808603 + 0.249421i −0.0312391 + 0.00963597i
\(671\) −61.4102 23.6949i −2.37072 0.914731i
\(672\) −4.62250 + 0.480467i −0.178317 + 0.0185344i
\(673\) 1.77968 23.7482i 0.0686017 0.915426i −0.851653 0.524106i \(-0.824400\pi\)
0.920255 0.391320i \(-0.127981\pi\)
\(674\) 2.76672 7.55637i 0.106570 0.291061i
\(675\) −38.0592 3.07246i −1.46490 0.118259i
\(676\) 91.1062 + 30.4157i 3.50408 + 1.16984i
\(677\) −20.5787 + 27.0597i −0.790904 + 1.03999i 0.207192 + 0.978300i \(0.433568\pi\)
−0.998096 + 0.0616874i \(0.980352\pi\)
\(678\) 26.1004 + 5.48505i 1.00238 + 0.210652i
\(679\) −5.95399 + 3.39201i −0.228493 + 0.130173i
\(680\) 27.9379 + 23.0798i 1.07137 + 0.885069i
\(681\) −6.76724 6.72842i −0.259321 0.257833i
\(682\) 29.0240 + 67.0494i 1.11139 + 2.56745i
\(683\) −1.59671 + 7.82120i −0.0610964 + 0.299270i −0.998845 0.0480443i \(-0.984701\pi\)
0.937749 + 0.347314i \(0.112906\pi\)
\(684\) 47.7552 1.09930i 1.82596 0.0420326i
\(685\) 18.9533 37.6790i 0.724167 1.43964i
\(686\) −19.3936 8.79551i −0.740449 0.335814i
\(687\) 30.3361 + 3.86071i 1.15739 + 0.147295i
\(688\) 0.819062 5.65470i 0.0312264 0.215583i
\(689\) −43.8733 + 8.17060i −1.67144 + 0.311275i
\(690\) −33.5742 47.4629i −1.27815 1.80688i
\(691\) 25.5275 + 13.7748i 0.971112 + 0.524020i 0.881616 0.471968i \(-0.156456\pi\)
0.0894960 + 0.995987i \(0.471474\pi\)
\(692\) −16.1850 + 10.2348i −0.615261 + 0.389067i
\(693\) 3.90690 3.30390i 0.148411 0.125505i
\(694\) 33.6686 + 55.3345i 1.27804 + 2.10047i
\(695\) −2.60408 + 2.00414i −0.0987783 + 0.0760213i
\(696\) −7.05219 + 7.17499i −0.267313 + 0.271967i
\(697\) 9.31956 3.47324i 0.353004 0.131558i
\(698\) −4.47287 14.8026i −0.169301 0.560285i
\(699\) 1.87326 0.928822i 0.0708533 0.0351313i
\(700\) 10.8368 15.3197i 0.409593 0.579031i
\(701\) −10.4373 + 22.6660i −0.394212 + 0.856084i 0.604038 + 0.796955i \(0.293557\pi\)
−0.998250 + 0.0591283i \(0.981168\pi\)
\(702\) 62.1586 56.3576i 2.34603 2.12708i
\(703\) 18.8078 44.8575i 0.709349 1.69183i
\(704\) −0.740279 0.885674i −0.0279003 0.0333801i
\(705\) −1.62937 1.19530i −0.0613655 0.0450177i
\(706\) 9.79500 + 89.2398i 0.368640 + 3.35858i
\(707\) −2.03051 + 3.33714i −0.0763650 + 0.125506i
\(708\) −2.43559 15.5514i −0.0915350 0.584457i
\(709\) −26.0676 33.4707i −0.978989 1.25702i −0.966385 0.257099i \(-0.917233\pi\)
−0.0126042 0.999921i \(-0.504012\pi\)
\(710\) 10.4794 33.2921i 0.393285 1.24943i
\(711\) −1.18191 2.16048i −0.0443252 0.0810244i
\(712\) 3.18405 + 61.4316i 0.119327 + 2.30225i
\(713\) 18.5053 + 12.0023i 0.693028 + 0.449491i
\(714\) 0.0586206 3.39570i 0.00219382 0.127081i
\(715\) −130.974 + 16.6684i −4.89817 + 0.623364i
\(716\) −27.5808 8.50755i −1.03074 0.317942i
\(717\) 4.33697 + 3.41798i 0.161967 + 0.127647i
\(718\) −45.8261 + 2.11090i −1.71022 + 0.0787780i
\(719\) −5.91866 + 48.7445i −0.220729 + 1.81786i 0.288777 + 0.957396i \(0.406751\pi\)
−0.509505 + 0.860467i \(0.670172\pi\)
\(720\) −26.4509 + 17.5915i −0.985766 + 0.655595i
\(721\) 2.41783 2.57591i 0.0900446 0.0959320i
\(722\) −71.9387 + 106.830i −2.67728 + 3.97581i
\(723\) 8.03314 + 9.17334i 0.298756 + 0.341160i
\(724\) 5.91193 + 32.7922i 0.219715 + 1.21871i
\(725\) −0.609518 8.13346i −0.0226369 0.302069i
\(726\) −103.283 29.2733i −3.83320 1.08643i
\(727\) 4.66761 3.26163i 0.173112 0.120967i −0.483032 0.875603i \(-0.660465\pi\)
0.656144 + 0.754635i \(0.272186\pi\)
\(728\) 4.58423 + 22.4550i 0.169903 + 0.832239i
\(729\) −5.93598 26.0072i −0.219851 0.963231i
\(730\) 30.9836 + 143.331i 1.14675 + 5.30493i
\(731\) 1.25455 + 0.340027i 0.0464012 + 0.0125763i
\(732\) −11.2073 58.3131i −0.414233 2.15531i
\(733\) 5.17498 7.87914i 0.191142 0.291023i −0.727504 0.686103i \(-0.759320\pi\)
0.918647 + 0.395080i \(0.129283\pi\)
\(734\) 44.5495 30.3733i 1.64435 1.12110i
\(735\) 29.8578 1.71987i 1.10132 0.0634382i
\(736\) −27.9343 8.26577i −1.02967 0.304680i
\(737\) −0.00364623 + 0.633697i −0.000134311 + 0.0233425i
\(738\) 1.23475 + 19.4826i 0.0454516 + 0.717164i
\(739\) 10.5557 34.9331i 0.388298 1.28503i −0.515432 0.856931i \(-0.672369\pi\)
0.903729 0.428104i \(-0.140818\pi\)
\(740\) 14.9866 + 88.9800i 0.550920 + 3.27097i
\(741\) 7.73915 + 63.7377i 0.284305 + 2.34146i
\(742\) −7.73916 9.04557i −0.284113 0.332073i
\(743\) 27.0121 25.0636i 0.990978 0.919493i −0.00577732 0.999983i \(-0.501839\pi\)
0.996755 + 0.0804900i \(0.0256485\pi\)
\(744\) −20.8099 + 30.1483i −0.762927 + 1.10529i
\(745\) 15.9161 + 50.5641i 0.583122 + 1.85252i
\(746\) −8.90196 + 9.26792i −0.325924 + 0.339323i
\(747\) −6.64812 10.6483i −0.243242 0.389601i
\(748\) 40.9657 26.5699i 1.49785 0.971492i
\(749\) 2.11896 + 2.92356i 0.0774250 + 0.106825i