Properties

Label 547.2.o.a.4.17
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 4.17
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.956113 - 0.0110031i) q^{2} +(0.269915 - 1.18258i) q^{3} +(-1.08544 - 0.0249862i) q^{4} +(2.02066 - 3.79679i) q^{5} +(-0.271082 + 1.12771i) q^{6} +(0.434254 + 1.07009i) q^{7} +(2.94874 + 0.101840i) q^{8} +(1.37727 + 0.663260i) q^{9} +O(q^{10})\) \(q+(-0.956113 - 0.0110031i) q^{2} +(0.269915 - 1.18258i) q^{3} +(-1.08544 - 0.0249862i) q^{4} +(2.02066 - 3.79679i) q^{5} +(-0.271082 + 1.12771i) q^{6} +(0.434254 + 1.07009i) q^{7} +(2.94874 + 0.101840i) q^{8} +(1.37727 + 0.663260i) q^{9} +(-1.97375 + 3.60793i) q^{10} +(2.66361 + 2.77311i) q^{11} +(-0.322525 + 1.27687i) q^{12} +(5.72457 + 0.862841i) q^{13} +(-0.403422 - 1.02790i) q^{14} +(-3.94459 - 3.41440i) q^{15} +(-0.649056 - 0.0298976i) q^{16} +(0.162486 - 0.964724i) q^{17} +(-1.30953 - 0.649306i) q^{18} +(-1.26869 + 0.684596i) q^{19} +(-2.28817 + 4.07070i) q^{20} +(1.38267 - 0.224706i) q^{21} +(-2.51620 - 2.68072i) q^{22} +(3.51052 + 0.822533i) q^{23} +(0.916344 - 3.45962i) q^{24} +(-7.53978 - 11.1967i) q^{25} +(-5.46385 - 0.887961i) q^{26} +(3.42496 - 4.29477i) q^{27} +(-0.444619 - 1.17236i) q^{28} +(3.15757 + 1.79888i) q^{29} +(3.73391 + 3.30795i) q^{30} +(-9.51296 - 3.42117i) q^{31} +(-5.27099 - 0.303619i) q^{32} +(3.99837 - 2.40142i) q^{33} +(-0.165970 + 0.920598i) q^{34} +(4.94037 + 0.513507i) q^{35} +(-1.47837 - 0.754341i) q^{36} +(-6.15524 + 4.96685i) q^{37} +(1.22055 - 0.640592i) q^{38} +(2.56553 - 6.53685i) q^{39} +(6.34506 - 10.9900i) q^{40} +(1.50717 + 2.61050i) q^{41} +(-1.32446 + 0.199631i) q^{42} +(-0.673277 + 6.86119i) q^{43} +(-2.82190 - 3.07660i) q^{44} +(5.30126 - 3.88900i) q^{45} +(-3.34740 - 0.825061i) q^{46} +(-5.30740 + 0.428458i) q^{47} +(-0.210547 + 0.759489i) q^{48} +(4.06393 - 3.94866i) q^{49} +(7.08569 + 10.7883i) q^{50} +(-1.09700 - 0.452546i) q^{51} +(-6.19212 - 1.07960i) q^{52} +(4.59438 - 1.59282i) q^{53} +(-3.32191 + 4.06860i) q^{54} +(15.9112 - 4.50966i) q^{55} +(1.17152 + 3.19963i) q^{56} +(0.467148 + 1.68511i) q^{57} +(-2.99920 - 1.75467i) q^{58} +(-9.72576 + 4.14376i) q^{59} +(4.19630 + 3.80468i) q^{60} +(2.02872 - 0.948379i) q^{61} +(9.05782 + 3.37569i) q^{62} +(-0.111659 + 1.76182i) q^{63} +(6.33272 + 0.437945i) q^{64} +(14.8434 - 19.9915i) q^{65} +(-3.84932 + 2.25203i) q^{66} +(5.43958 + 5.28529i) q^{67} +(-0.200473 + 1.04309i) q^{68} +(1.92025 - 3.92945i) q^{69} +(-4.71790 - 0.545330i) q^{70} +(-10.3715 + 2.05526i) q^{71} +(3.99368 + 2.09604i) q^{72} +(-2.80141 + 2.42488i) q^{73} +(5.93975 - 4.68114i) q^{74} +(-15.2761 + 5.89421i) q^{75} +(1.39419 - 0.711388i) q^{76} +(-1.81079 + 4.05453i) q^{77} +(-2.52486 + 6.22174i) q^{78} +(-7.64938 - 5.47731i) q^{79} +(-1.42504 + 2.40392i) q^{80} +(-1.29513 - 1.62405i) q^{81} +(-1.41231 - 2.51252i) q^{82} +(-10.7844 - 6.81965i) q^{83} +(-1.50642 + 0.209357i) q^{84} +(-3.33453 - 2.56630i) q^{85} +(0.719223 - 6.55266i) q^{86} +(2.97959 - 3.24852i) q^{87} +(7.57189 + 8.44845i) q^{88} +(0.490143 + 5.66492i) q^{89} +(-5.11139 + 3.65999i) q^{90} +(1.56260 + 6.50048i) q^{91} +(-3.78990 - 0.980524i) q^{92} +(-6.61349 + 10.3264i) q^{93} +(5.07919 - 0.351256i) q^{94} +(0.0356759 + 6.20030i) q^{95} +(-1.78177 + 6.15140i) q^{96} +(-1.70038 - 12.7737i) q^{97} +(-3.92902 + 3.73065i) q^{98} +(1.82923 + 5.58600i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.956113 0.0110031i −0.676074 0.00778038i −0.327207 0.944953i \(-0.606107\pi\)
−0.348867 + 0.937172i \(0.613433\pi\)
\(3\) 0.269915 1.18258i 0.155836 0.682761i −0.835287 0.549814i \(-0.814699\pi\)
0.991123 0.132947i \(-0.0424441\pi\)
\(4\) −1.08544 0.0249862i −0.542720 0.0124931i
\(5\) 2.02066 3.79679i 0.903666 1.69798i 0.209971 0.977708i \(-0.432663\pi\)
0.693695 0.720269i \(-0.255982\pi\)
\(6\) −0.271082 + 1.12771i −0.110669 + 0.460385i
\(7\) 0.434254 + 1.07009i 0.164133 + 0.404454i 0.986338 0.164737i \(-0.0526775\pi\)
−0.822205 + 0.569192i \(0.807256\pi\)
\(8\) 2.94874 + 0.101840i 1.04254 + 0.0360058i
\(9\) 1.37727 + 0.663260i 0.459091 + 0.221087i
\(10\) −1.97375 + 3.60793i −0.624156 + 1.14093i
\(11\) 2.66361 + 2.77311i 0.803109 + 0.836125i 0.989225 0.146403i \(-0.0467695\pi\)
−0.186116 + 0.982528i \(0.559590\pi\)
\(12\) −0.322525 + 1.27687i −0.0931049 + 0.368601i
\(13\) 5.72457 + 0.862841i 1.58771 + 0.239309i 0.882717 0.469904i \(-0.155712\pi\)
0.704994 + 0.709213i \(0.250950\pi\)
\(14\) −0.403422 1.02790i −0.107819 0.274718i
\(15\) −3.94459 3.41440i −1.01849 0.881593i
\(16\) −0.649056 0.0298976i −0.162264 0.00747440i
\(17\) 0.162486 0.964724i 0.0394086 0.233980i −0.959442 0.281905i \(-0.909034\pi\)
0.998851 + 0.0479249i \(0.0152608\pi\)
\(18\) −1.30953 0.649306i −0.308659 0.153043i
\(19\) −1.26869 + 0.684596i −0.291058 + 0.157057i −0.613873 0.789405i \(-0.710389\pi\)
0.322815 + 0.946462i \(0.395371\pi\)
\(20\) −2.28817 + 4.07070i −0.511650 + 0.910236i
\(21\) 1.38267 0.224706i 0.301723 0.0490348i
\(22\) −2.51620 2.68072i −0.536456 0.571531i
\(23\) 3.51052 + 0.822533i 0.731994 + 0.171510i 0.577392 0.816467i \(-0.304070\pi\)
0.154602 + 0.987977i \(0.450591\pi\)
\(24\) 0.916344 3.45962i 0.187048 0.706193i
\(25\) −7.53978 11.1967i −1.50796 2.23934i
\(26\) −5.46385 0.887961i −1.07155 0.174144i
\(27\) 3.42496 4.29477i 0.659134 0.826528i
\(28\) −0.444619 1.17236i −0.0840251 0.221556i
\(29\) 3.15757 + 1.79888i 0.586346 + 0.334043i 0.759153 0.650912i \(-0.225613\pi\)
−0.172807 + 0.984956i \(0.555284\pi\)
\(30\) 3.73391 + 3.30795i 0.681715 + 0.603947i
\(31\) −9.51296 3.42117i −1.70858 0.614460i −0.712397 0.701777i \(-0.752390\pi\)
−0.996181 + 0.0873171i \(0.972171\pi\)
\(32\) −5.27099 0.303619i −0.931788 0.0536728i
\(33\) 3.99837 2.40142i 0.696027 0.418033i
\(34\) −0.165970 + 0.920598i −0.0284636 + 0.157881i
\(35\) 4.94037 + 0.513507i 0.835075 + 0.0867985i
\(36\) −1.47837 0.754341i −0.246396 0.125723i
\(37\) −6.15524 + 4.96685i −1.01191 + 0.816544i −0.983105 0.183041i \(-0.941406\pi\)
−0.0288094 + 0.999585i \(0.509172\pi\)
\(38\) 1.22055 0.640592i 0.197999 0.103918i
\(39\) 2.56553 6.53685i 0.410813 1.04673i
\(40\) 6.34506 10.9900i 1.00324 1.73767i
\(41\) 1.50717 + 2.61050i 0.235381 + 0.407692i 0.959383 0.282106i \(-0.0910328\pi\)
−0.724002 + 0.689798i \(0.757700\pi\)
\(42\) −1.32446 + 0.199631i −0.204369 + 0.0308037i
\(43\) −0.673277 + 6.86119i −0.102674 + 1.04632i 0.795283 + 0.606238i \(0.207322\pi\)
−0.897957 + 0.440083i \(0.854949\pi\)
\(44\) −2.82190 3.07660i −0.425417 0.463815i
\(45\) 5.30126 3.88900i 0.790265 0.579738i
\(46\) −3.34740 0.825061i −0.493548 0.121649i
\(47\) −5.30740 + 0.428458i −0.774164 + 0.0624970i −0.461233 0.887279i \(-0.652593\pi\)
−0.312931 + 0.949776i \(0.601311\pi\)
\(48\) −0.210547 + 0.759489i −0.0303898 + 0.109623i
\(49\) 4.06393 3.94866i 0.580561 0.564094i
\(50\) 7.08569 + 10.7883i 1.00207 + 1.52569i
\(51\) −1.09700 0.452546i −0.153611 0.0633691i
\(52\) −6.19212 1.07960i −0.858692 0.149713i
\(53\) 4.59438 1.59282i 0.631087 0.218791i 0.00678840 0.999977i \(-0.497839\pi\)
0.624298 + 0.781186i \(0.285385\pi\)
\(54\) −3.32191 + 4.06860i −0.452054 + 0.553666i
\(55\) 15.9112 4.50966i 2.14546 0.608083i
\(56\) 1.17152 + 3.19963i 0.156552 + 0.427569i
\(57\) 0.467148 + 1.68511i 0.0618753 + 0.223198i
\(58\) −2.99920 1.75467i −0.393814 0.230400i
\(59\) −9.72576 + 4.14376i −1.26619 + 0.539471i −0.917488 0.397764i \(-0.869786\pi\)
−0.348698 + 0.937235i \(0.613376\pi\)
\(60\) 4.19630 + 3.80468i 0.541740 + 0.491182i
\(61\) 2.02872 0.948379i 0.259751 0.121427i −0.289237 0.957258i \(-0.593401\pi\)
0.548988 + 0.835830i \(0.315013\pi\)
\(62\) 9.05782 + 3.37569i 1.15034 + 0.428714i
\(63\) −0.111659 + 1.76182i −0.0140677 + 0.221969i
\(64\) 6.33272 + 0.437945i 0.791589 + 0.0547431i
\(65\) 14.8434 19.9915i 1.84110 2.47964i
\(66\) −3.84932 + 2.25203i −0.473818 + 0.277206i
\(67\) 5.43958 + 5.28529i 0.664550 + 0.645701i 0.949839 0.312740i \(-0.101247\pi\)
−0.285289 + 0.958442i \(0.592089\pi\)
\(68\) −0.200473 + 1.04309i −0.0243110 + 0.126493i
\(69\) 1.92025 3.92945i 0.231171 0.473050i
\(70\) −4.71790 0.545330i −0.563897 0.0651794i
\(71\) −10.3715 + 2.05526i −1.23087 + 0.243915i −0.766801 0.641884i \(-0.778153\pi\)
−0.464068 + 0.885799i \(0.653611\pi\)
\(72\) 3.99368 + 2.09604i 0.470659 + 0.247021i
\(73\) −2.80141 + 2.42488i −0.327881 + 0.283810i −0.802836 0.596200i \(-0.796677\pi\)
0.474955 + 0.880010i \(0.342464\pi\)
\(74\) 5.93975 4.68114i 0.690482 0.544171i
\(75\) −15.2761 + 5.89421i −1.76393 + 0.680604i
\(76\) 1.39419 0.711388i 0.159925 0.0816018i
\(77\) −1.81079 + 4.05453i −0.206358 + 0.462056i
\(78\) −2.52486 + 6.22174i −0.285884 + 0.704474i
\(79\) −7.64938 5.47731i −0.860623 0.616245i 0.0636522 0.997972i \(-0.479725\pi\)
−0.924275 + 0.381727i \(0.875330\pi\)
\(80\) −1.42504 + 2.40392i −0.159324 + 0.268766i
\(81\) −1.29513 1.62405i −0.143904 0.180449i
\(82\) −1.41231 2.51252i −0.155963 0.277461i
\(83\) −10.7844 6.81965i −1.18374 0.748554i −0.210335 0.977629i \(-0.567456\pi\)
−0.973409 + 0.229075i \(0.926430\pi\)
\(84\) −1.50642 + 0.209357i −0.164364 + 0.0228427i
\(85\) −3.33453 2.56630i −0.361680 0.278355i
\(86\) 0.719223 6.55266i 0.0775558 0.706592i
\(87\) 2.97959 3.24852i 0.319445 0.348278i
\(88\) 7.57189 + 8.44845i 0.807166 + 0.900608i
\(89\) 0.490143 + 5.66492i 0.0519550 + 0.600480i 0.975938 + 0.218047i \(0.0699687\pi\)
−0.923983 + 0.382433i \(0.875086\pi\)
\(90\) −5.11139 + 3.65999i −0.538788 + 0.385797i
\(91\) 1.56260 + 6.50048i 0.163805 + 0.681435i
\(92\) −3.78990 0.980524i −0.395125 0.102227i
\(93\) −6.61349 + 10.3264i −0.685787 + 1.07080i
\(94\) 5.07919 0.351256i 0.523878 0.0362293i
\(95\) 0.0356759 + 6.20030i 0.00366027 + 0.636137i
\(96\) −1.78177 + 6.15140i −0.181852 + 0.627825i
\(97\) −1.70038 12.7737i −0.172648 1.29697i −0.836027 0.548688i \(-0.815127\pi\)
0.663379 0.748283i \(-0.269122\pi\)
\(98\) −3.92902 + 3.73065i −0.396891 + 0.376853i
\(99\) 1.82923 + 5.58600i 0.183844 + 0.561414i
\(100\) 7.90421 + 12.3417i 0.790421 + 1.23417i
\(101\) −4.00831 5.39849i −0.398842 0.537170i 0.557208 0.830373i \(-0.311872\pi\)
−0.956050 + 0.293202i \(0.905279\pi\)
\(102\) 1.04388 + 0.444756i 0.103360 + 0.0440374i
\(103\) −1.47911 3.21208i −0.145741 0.316495i 0.821562 0.570119i \(-0.193103\pi\)
−0.967303 + 0.253623i \(0.918378\pi\)
\(104\) 16.7924 + 3.12728i 1.64663 + 0.306655i
\(105\) 1.94074 5.70377i 0.189397 0.556631i
\(106\) −4.41027 + 1.47237i −0.428364 + 0.143009i
\(107\) 10.8407 2.67200i 1.04801 0.258312i 0.322535 0.946558i \(-0.395465\pi\)
0.725477 + 0.688246i \(0.241619\pi\)
\(108\) −3.82490 + 4.57613i −0.368051 + 0.440338i
\(109\) 3.49291 + 6.74927i 0.334560 + 0.646463i 0.994486 0.104868i \(-0.0334419\pi\)
−0.659926 + 0.751330i \(0.729413\pi\)
\(110\) −15.2625 + 4.13668i −1.45522 + 0.394417i
\(111\) 4.21228 + 8.61967i 0.399812 + 0.818143i
\(112\) −0.249862 0.707529i −0.0236098 0.0668552i
\(113\) 0.359669 + 12.4984i 0.0338348 + 1.17575i 0.825356 + 0.564612i \(0.190974\pi\)
−0.791522 + 0.611141i \(0.790711\pi\)
\(114\) −0.428105 1.61630i −0.0400957 0.151380i
\(115\) 10.2165 11.6667i 0.952698 1.08792i
\(116\) −3.38240 2.03147i −0.314048 0.188617i
\(117\) 7.31201 + 4.98525i 0.675996 + 0.460886i
\(118\) 9.34452 3.85489i 0.860233 0.354871i
\(119\) 1.10290 0.245062i 0.101103 0.0224648i
\(120\) −11.2839 10.4699i −1.03007 0.955766i
\(121\) −0.152406 + 3.78191i −0.0138551 + 0.343810i
\(122\) −1.95012 + 0.884435i −0.176556 + 0.0800730i
\(123\) 3.49393 1.07773i 0.315037 0.0971761i
\(124\) 10.2403 + 3.95116i 0.919602 + 0.354825i
\(125\) −36.3571 + 3.77899i −3.25188 + 0.338003i
\(126\) 0.126144 1.68327i 0.0112378 0.149958i
\(127\) 1.69994 4.64282i 0.150845 0.411983i −0.840740 0.541439i \(-0.817880\pi\)
0.991585 + 0.129456i \(0.0413229\pi\)
\(128\) 4.47524 + 0.361279i 0.395559 + 0.0319328i
\(129\) 7.93215 + 2.64814i 0.698387 + 0.233156i
\(130\) −14.4120 + 18.9508i −1.26401 + 1.66210i
\(131\) −3.84844 0.808758i −0.336240 0.0706615i 0.0344826 0.999405i \(-0.489022\pi\)
−0.370722 + 0.928744i \(0.620890\pi\)
\(132\) −4.39999 + 2.50669i −0.382970 + 0.218179i
\(133\) −1.28351 1.06032i −0.111295 0.0919415i
\(134\) −5.14270 5.11319i −0.444261 0.441712i
\(135\) −9.38565 21.6821i −0.807788 1.86610i
\(136\) 0.577376 2.82818i 0.0495096 0.242514i
\(137\) −22.6122 + 0.520519i −1.93189 + 0.0444710i −0.971878 0.235485i \(-0.924332\pi\)
−0.960013 + 0.279956i \(0.909680\pi\)
\(138\) −1.87921 + 3.73587i −0.159969 + 0.318018i
\(139\) 0.159289 + 0.0722418i 0.0135107 + 0.00612747i 0.419779 0.907627i \(-0.362108\pi\)
−0.406268 + 0.913754i \(0.633170\pi\)
\(140\) −5.34964 0.680821i −0.452127 0.0575399i
\(141\) −0.925865 + 6.39205i −0.0779719 + 0.538308i
\(142\) 9.93893 1.85095i 0.834057 0.155328i
\(143\) 12.8553 + 18.1732i 1.07501 + 1.51972i
\(144\) −0.874098 0.471670i −0.0728415 0.0393058i
\(145\) 13.2103 8.35371i 1.09706 0.693738i
\(146\) 2.70515 2.28763i 0.223880 0.189326i
\(147\) −3.57268 5.87171i −0.294669 0.484290i
\(148\) 6.80524 5.23741i 0.559387 0.430513i
\(149\) 5.26536 5.35704i 0.431355 0.438866i −0.462909 0.886406i \(-0.653194\pi\)
0.894264 + 0.447540i \(0.147700\pi\)
\(150\) 14.6705 5.46744i 1.19784 0.446415i
\(151\) 2.20241 + 7.28866i 0.179229 + 0.593143i 0.999768 + 0.0215513i \(0.00686052\pi\)
−0.820538 + 0.571591i \(0.806326\pi\)
\(152\) −3.81076 + 1.88949i −0.309094 + 0.153258i
\(153\) 0.863650 1.22092i 0.0698220 0.0987054i
\(154\) 1.77593 3.85666i 0.143108 0.310779i
\(155\) −32.2119 + 29.2057i −2.58732 + 2.34586i
\(156\) −2.94805 + 7.03125i −0.236033 + 0.562951i
\(157\) −4.02067 4.81035i −0.320884 0.383908i 0.582435 0.812877i \(-0.302100\pi\)
−0.903319 + 0.428970i \(0.858877\pi\)
\(158\) 7.25341 + 5.32109i 0.577050 + 0.423324i
\(159\) −0.643540 5.86314i −0.0510361 0.464977i
\(160\) −11.8036 + 19.3993i −0.933160 + 1.53365i
\(161\) 0.644276 + 4.11375i 0.0507761 + 0.324209i
\(162\) 1.22042 + 1.56702i 0.0958856 + 0.123117i
\(163\) −4.10070 + 13.0275i −0.321192 + 1.02040i 0.645350 + 0.763887i \(0.276711\pi\)
−0.966542 + 0.256509i \(0.917428\pi\)
\(164\) −1.57072 2.87120i −0.122653 0.224203i
\(165\) −1.03835 20.0334i −0.0808354 1.55960i
\(166\) 10.2361 + 6.63902i 0.794475 + 0.515288i
\(167\) −0.329826 + 19.1057i −0.0255227 + 1.47844i 0.660479 + 0.750845i \(0.270353\pi\)
−0.686001 + 0.727600i \(0.740636\pi\)
\(168\) 4.10002 0.521788i 0.316324 0.0402568i
\(169\) 19.6038 + 6.04697i 1.50799 + 0.465152i
\(170\) 3.15995 + 2.49037i 0.242357 + 0.191002i
\(171\) −2.20140 + 0.101404i −0.168345 + 0.00775453i
\(172\) 0.902235 7.43058i 0.0687948 0.566576i
\(173\) −5.49629 + 3.65537i −0.417875 + 0.277913i −0.744995 0.667070i \(-0.767548\pi\)
0.327120 + 0.944983i \(0.393922\pi\)
\(174\) −2.88457 + 3.07317i −0.218678 + 0.232976i
\(175\) 8.70726 12.9304i 0.658207 0.977449i
\(176\) −1.64592 1.87954i −0.124066 0.141676i
\(177\) 2.27518 + 12.6199i 0.171013 + 0.948571i
\(178\) −0.406300 5.42170i −0.0304535 0.406373i
\(179\) 11.5251 + 3.26654i 0.861430 + 0.244153i 0.674549 0.738230i \(-0.264338\pi\)
0.186881 + 0.982383i \(0.440162\pi\)
\(180\) −5.85136 + 4.08881i −0.436135 + 0.304762i
\(181\) −1.39507 6.83350i −0.103695 0.507930i −0.998151 0.0607758i \(-0.980643\pi\)
0.894457 0.447155i \(-0.147563\pi\)
\(182\) −1.42250 6.23239i −0.105443 0.461975i
\(183\) −0.573947 2.65510i −0.0424274 0.196271i
\(184\) 10.2678 + 2.78295i 0.756956 + 0.205162i
\(185\) 6.42044 + 33.4064i 0.472040 + 2.45609i
\(186\) 6.43686 9.80042i 0.471974 0.718601i
\(187\) 3.10809 2.11906i 0.227286 0.154961i
\(188\) 5.77156 0.332453i 0.420935 0.0242466i
\(189\) 6.08307 + 1.79998i 0.442478 + 0.130930i
\(190\) 0.0341124 5.92858i 0.00247477 0.430104i
\(191\) −0.947330 14.9476i −0.0685464 1.08157i −0.873053 0.487625i \(-0.837863\pi\)
0.804507 0.593943i \(-0.202430\pi\)
\(192\) 2.22720 7.37071i 0.160734 0.531935i
\(193\) −4.47361 26.5611i −0.322018 1.91191i −0.403010 0.915196i \(-0.632036\pi\)
0.0809921 0.996715i \(-0.474191\pi\)
\(194\) 1.48521 + 12.2318i 0.106632 + 0.878192i
\(195\) −19.6350 22.9495i −1.40609 1.64345i
\(196\) −4.50981 + 4.18449i −0.322129 + 0.298892i
\(197\) −9.76016 + 14.1400i −0.695383 + 1.00744i 0.303132 + 0.952949i \(0.401968\pi\)
−0.998514 + 0.0544872i \(0.982648\pi\)
\(198\) −1.68748 5.36098i −0.119924 0.380988i
\(199\) 1.08761 1.13232i 0.0770986 0.0802681i −0.681536 0.731785i \(-0.738688\pi\)
0.758634 + 0.651517i \(0.225867\pi\)
\(200\) −21.0926 33.7840i −1.49147 2.38889i
\(201\) 7.71849 5.00613i 0.544420 0.353105i
\(202\) 3.77300 + 5.20568i 0.265467 + 0.366270i
\(203\) −0.553768 + 4.16004i −0.0388669 + 0.291977i
\(204\) 1.17942 + 0.518621i 0.0825761 + 0.0363107i
\(205\) 12.9570 0.447493i 0.904958 0.0312543i
\(206\) 1.37885 + 3.08738i 0.0960691 + 0.215108i
\(207\) 4.28939 + 3.46124i 0.298133 + 0.240573i
\(208\) −3.68977 0.731183i −0.255840 0.0506984i
\(209\) −5.27777 1.69473i −0.365071 0.117227i
\(210\) −1.91833 + 5.43209i −0.132377 + 0.374850i
\(211\) 1.34471 0.155432i 0.0925738 0.0107004i −0.0684112 0.997657i \(-0.521793\pi\)
0.160985 + 0.986957i \(0.448533\pi\)
\(212\) −5.02672 + 1.61412i −0.345236 + 0.110858i
\(213\) −0.368918 + 12.8198i −0.0252778 + 0.878400i
\(214\) −10.3944 + 2.43545i −0.710543 + 0.166484i
\(215\) 24.6900 + 16.4204i 1.68385 + 1.11986i
\(216\) 10.5367 12.3154i 0.716932 0.837954i
\(217\) −0.470097 11.6653i −0.0319123 0.791895i
\(218\) −3.26535 6.49150i −0.221157 0.439660i
\(219\) 2.11146 + 3.96740i 0.142679 + 0.268092i
\(220\) −17.3833 + 4.49741i −1.17198 + 0.303215i
\(221\) 1.76257 5.38244i 0.118563 0.362062i
\(222\) −3.93258 8.28773i −0.263937 0.556236i
\(223\) 2.64356 + 3.47611i 0.177026 + 0.232777i 0.875931 0.482437i \(-0.160248\pi\)
−0.698905 + 0.715215i \(0.746329\pi\)
\(224\) −1.96405 5.77226i −0.131229 0.385675i
\(225\) −2.95801 20.4218i −0.197201 1.36145i
\(226\) −0.206362 11.9539i −0.0137270 0.795160i
\(227\) 1.29332 2.07152i 0.0858409 0.137492i −0.802541 0.596598i \(-0.796519\pi\)
0.888381 + 0.459106i \(0.151830\pi\)
\(228\) −0.464956 1.84076i −0.0307925 0.121907i
\(229\) −1.54401 15.7346i −0.102031 1.03977i −0.899651 0.436610i \(-0.856179\pi\)
0.797620 0.603160i \(-0.206092\pi\)
\(230\) −9.89654 + 11.0422i −0.652559 + 0.728103i
\(231\) 4.30603 + 3.23577i 0.283316 + 0.212898i
\(232\) 9.12765 + 5.62599i 0.599260 + 0.369365i
\(233\) 7.97268 + 9.76476i 0.522308 + 0.639711i 0.966636 0.256153i \(-0.0824551\pi\)
−0.444328 + 0.895864i \(0.646558\pi\)
\(234\) −6.93626 4.84691i −0.453437 0.316853i
\(235\) −9.09768 + 21.0169i −0.593467 + 1.37099i
\(236\) 10.6603 4.25479i 0.693923 0.276963i
\(237\) −8.54203 + 7.56757i −0.554864 + 0.491567i
\(238\) −1.05719 + 0.222171i −0.0685276 + 0.0144012i
\(239\) 5.10508 10.7587i 0.330220 0.695925i −0.668643 0.743583i \(-0.733125\pi\)
0.998864 + 0.0476586i \(0.0151760\pi\)
\(240\) 2.45818 + 2.33407i 0.158675 + 0.150664i
\(241\) 3.60721 4.97693i 0.232361 0.320592i −0.677487 0.735535i \(-0.736931\pi\)
0.909848 + 0.414943i \(0.136198\pi\)
\(242\) 0.187330 3.61426i 0.0120420 0.232334i
\(243\) 12.5775 6.05701i 0.806847 0.388557i
\(244\) −2.22575 + 0.978718i −0.142489 + 0.0626560i
\(245\) −6.78043 23.4088i −0.433186 1.49553i
\(246\) −3.35245 + 0.991992i −0.213744 + 0.0632471i
\(247\) −7.85342 + 2.82434i −0.499701 + 0.179709i
\(248\) −27.7028 11.0569i −1.75913 0.702116i
\(249\) −10.9756 + 10.9127i −0.695553 + 0.691563i
\(250\) 34.8031 3.21310i 2.20114 0.203214i
\(251\) 16.6039 12.4770i 1.04803 0.787542i 0.0703224 0.997524i \(-0.477597\pi\)
0.977705 + 0.209983i \(0.0673408\pi\)
\(252\) 0.165220 1.90956i 0.0104079 0.120291i
\(253\) 7.06969 + 11.9260i 0.444467 + 0.749780i
\(254\) −1.67642 + 4.42035i −0.105188 + 0.277358i
\(255\) −3.93489 + 3.25065i −0.246412 + 0.203564i
\(256\) −16.9168 1.56180i −1.05730 0.0976122i
\(257\) −5.10616 + 3.14728i −0.318514 + 0.196322i −0.674698 0.738094i \(-0.735726\pi\)
0.356184 + 0.934416i \(0.384078\pi\)
\(258\) −7.55490 2.61920i −0.470347 0.163064i
\(259\) −7.98789 4.42976i −0.496343 0.275252i
\(260\) −16.6112 + 21.3287i −1.03018 + 1.32275i
\(261\) 3.15571 + 4.57183i 0.195334 + 0.282989i
\(262\) 3.67064 + 0.815609i 0.226773 + 0.0503885i
\(263\) −23.9346 + 4.17300i −1.47587 + 0.257318i −0.851725 0.523989i \(-0.824443\pi\)
−0.624146 + 0.781307i \(0.714553\pi\)
\(264\) 12.0347 6.67397i 0.740686 0.410754i
\(265\) 3.23606 20.6625i 0.198790 1.26928i
\(266\) 1.21552 + 1.02791i 0.0745280 + 0.0630252i
\(267\) 6.83150 + 0.949418i 0.418081 + 0.0581034i
\(268\) −5.77227 5.87278i −0.352597 0.358737i
\(269\) −15.0393 7.03049i −0.916960 0.428657i −0.0932339 0.995644i \(-0.529720\pi\)
−0.823726 + 0.566988i \(0.808109\pi\)
\(270\) 8.73518 + 20.8338i 0.531606 + 1.26791i
\(271\) −9.92738 + 19.1825i −0.603045 + 1.16525i 0.368773 + 0.929520i \(0.379778\pi\)
−0.971818 + 0.235732i \(0.924251\pi\)
\(272\) −0.134305 + 0.621303i −0.00814346 + 0.0376720i
\(273\) 8.10909 0.0933208i 0.490784 0.00564803i
\(274\) 21.6255 0.248871i 1.30645 0.0150348i
\(275\) 10.9667 50.7323i 0.661316 3.05928i
\(276\) −2.18250 + 4.21719i −0.131371 + 0.253845i
\(277\) −9.77225 23.3073i −0.587157 1.40040i −0.893753 0.448560i \(-0.851937\pi\)
0.306596 0.951840i \(-0.400810\pi\)
\(278\) −0.151503 0.0708240i −0.00908655 0.00424774i
\(279\) −10.8328 11.0214i −0.648544 0.659836i
\(280\) 14.5156 + 2.01732i 0.867472 + 0.120558i
\(281\) 14.7374 + 12.4628i 0.879157 + 0.743466i 0.967566 0.252619i \(-0.0812918\pi\)
−0.0884090 + 0.996084i \(0.528178\pi\)
\(282\) 0.955564 6.10134i 0.0569030 0.363329i
\(283\) 16.3825 9.08508i 0.973839 0.540052i 0.0840686 0.996460i \(-0.473209\pi\)
0.889771 + 0.456408i \(0.150864\pi\)
\(284\) 11.3090 1.97172i 0.671064 0.117000i
\(285\) 7.34196 + 1.63137i 0.434900 + 0.0966338i
\(286\) −12.0911 17.5170i −0.714964 1.03580i
\(287\) −2.13897 + 2.74643i −0.126259 + 0.162116i
\(288\) −7.05822 3.91420i −0.415909 0.230647i
\(289\) 15.1578 + 5.25505i 0.891636 + 0.309121i
\(290\) −12.7225 + 7.84173i −0.747090 + 0.460483i
\(291\) −15.5648 1.43698i −0.912426 0.0842373i
\(292\) 3.10135 2.56206i 0.181493 0.149933i
\(293\) 9.06624 23.9057i 0.529655 1.39659i −0.356978 0.934113i \(-0.616193\pi\)
0.886633 0.462473i \(-0.153038\pi\)
\(294\) 3.35128 + 5.65333i 0.195450 + 0.329709i
\(295\) −3.91945 + 45.2998i −0.228199 + 2.63746i
\(296\) −18.6560 + 14.0191i −1.08436 + 0.814843i
\(297\) 21.0326 1.94178i 1.22044 0.112674i
\(298\) −5.09322 + 5.06400i −0.295042 + 0.293350i
\(299\) 19.3865 + 7.73767i 1.12115 + 0.447481i
\(300\) 16.7285 6.01611i 0.965821 0.347340i
\(301\) −7.63443 + 2.25903i −0.440041 + 0.130208i
\(302\) −2.02555 6.99301i −0.116557 0.402403i
\(303\) −7.46604 + 3.28300i −0.428913 + 0.188603i
\(304\) 0.843920 0.406411i 0.0484022 0.0233093i
\(305\) 0.498560 9.61899i 0.0285475 0.550782i
\(306\) −0.839181 + 1.15783i −0.0479728 + 0.0661889i
\(307\) 19.2832 + 18.3096i 1.10055 + 1.04499i 0.998740 + 0.0501813i \(0.0159799\pi\)
0.101810 + 0.994804i \(0.467537\pi\)
\(308\) 2.06680 4.35570i 0.117767 0.248189i
\(309\) −4.19776 + 0.882169i −0.238802 + 0.0501848i
\(310\) 31.1196 27.5695i 1.76747 1.56584i
\(311\) 15.1840 6.06033i 0.861005 0.343650i 0.102039 0.994780i \(-0.467463\pi\)
0.758966 + 0.651131i \(0.225705\pi\)
\(312\) 8.23078 19.0142i 0.465976 1.07647i
\(313\) 13.4538 + 9.40124i 0.760454 + 0.531390i 0.887667 0.460486i \(-0.152325\pi\)
−0.127213 + 0.991875i \(0.540603\pi\)
\(314\) 3.79128 + 4.64348i 0.213954 + 0.262047i
\(315\) 6.46365 + 3.98399i 0.364186 + 0.224472i
\(316\) 8.16608 + 6.13641i 0.459378 + 0.345200i
\(317\) 2.37128 2.64579i 0.133184 0.148603i −0.674375 0.738389i \(-0.735587\pi\)
0.807559 + 0.589787i \(0.200788\pi\)
\(318\) 0.550785 + 5.61290i 0.0308865 + 0.314756i
\(319\) 3.42204 + 13.5478i 0.191597 + 0.758532i
\(320\) 14.4590 23.1591i 0.808285 1.29463i
\(321\) −0.233765 13.5412i −0.0130475 0.755796i
\(322\) −0.570737 3.94030i −0.0318059 0.219584i
\(323\) 0.454302 + 1.33518i 0.0252781 + 0.0742912i
\(324\) 1.36521 + 1.79516i 0.0758450 + 0.0997313i
\(325\) −33.5011 70.6020i −1.85830 3.91629i
\(326\) 4.06408 12.4107i 0.225088 0.687364i
\(327\) 8.92432 2.30890i 0.493516 0.127682i
\(328\) 4.17841 + 7.85119i 0.230714 + 0.433509i
\(329\) −2.76324 5.49331i −0.152343 0.302856i
\(330\) 0.772349 + 19.1656i 0.0425164 + 1.05503i
\(331\) 7.71291 9.01489i 0.423940 0.495503i −0.506350 0.862328i \(-0.669006\pi\)
0.930290 + 0.366825i \(0.119555\pi\)
\(332\) 11.5354 + 7.67178i 0.633089 + 0.421044i
\(333\) −11.7718 + 2.75818i −0.645088 + 0.151147i
\(334\) 0.525573 18.2636i 0.0287581 0.999340i
\(335\) 31.0587 9.97316i 1.69692 0.544892i
\(336\) −0.904149 + 0.104508i −0.0493254 + 0.00570139i
\(337\) −11.0321 + 31.2393i −0.600955 + 1.70171i 0.105921 + 0.994375i \(0.466221\pi\)
−0.706877 + 0.707337i \(0.749896\pi\)
\(338\) −18.6769 5.99729i −1.01589 0.326210i
\(339\) 14.8774 + 2.94818i 0.808031 + 0.160123i
\(340\) 3.55531 + 2.86888i 0.192814 + 0.155587i
\(341\) −15.8515 35.4932i −0.858409 1.92206i
\(342\) 2.10590 0.0727310i 0.113874 0.00393284i
\(343\) 13.3902 + 5.88802i 0.723005 + 0.317923i
\(344\) −2.68406 + 20.1633i −0.144715 + 1.08713i
\(345\) −11.0391 15.2309i −0.594326 0.820002i
\(346\) 5.29529 3.43447i 0.284677 0.184638i
\(347\) 1.15309 + 1.84691i 0.0619011 + 0.0991471i 0.877752 0.479115i \(-0.159042\pi\)
−0.815851 + 0.578262i \(0.803731\pi\)
\(348\) −3.31533 + 3.45162i −0.177720 + 0.185026i
\(349\) −6.47283 20.5636i −0.346483 1.10074i −0.952306 0.305144i \(-0.901296\pi\)
0.605824 0.795599i \(-0.292844\pi\)
\(350\) −8.46740 + 12.2671i −0.452602 + 0.655707i
\(351\) 23.3121 21.6305i 1.24431 1.15455i
\(352\) −13.1979 15.4258i −0.703450 0.822197i
\(353\) 0.733167 + 6.03817i 0.0390225 + 0.321379i 0.999128 + 0.0417427i \(0.0132910\pi\)
−0.960106 + 0.279637i \(0.909786\pi\)
\(354\) −2.03647 12.0911i −0.108237 0.642635i
\(355\) −13.1538 + 43.5314i −0.698133 + 2.31041i
\(356\) −0.390475 6.16117i −0.0206952 0.326542i
\(357\) 0.00788518 1.37041i 0.000417328 0.0725297i
\(358\) −10.9834 3.25000i −0.580491 0.171768i
\(359\) −9.53973 + 0.549506i −0.503487 + 0.0290018i −0.307392 0.951583i \(-0.599456\pi\)
−0.196095 + 0.980585i \(0.562826\pi\)
\(360\) 16.0281 10.9278i 0.844755 0.575944i
\(361\) −9.28961 + 14.1439i −0.488927 + 0.744413i
\(362\) 1.25865 + 6.54895i 0.0661534 + 0.344205i
\(363\) 4.43127 + 1.20103i 0.232581 + 0.0630377i
\(364\) −1.53369 7.09492i −0.0803872 0.371875i
\(365\) 3.54604 + 15.5362i 0.185608 + 0.813204i
\(366\) 0.519544 + 2.54489i 0.0271570 + 0.133024i
\(367\) −13.7095 + 9.57992i −0.715630 + 0.500068i −0.873152 0.487448i \(-0.837928\pi\)
0.157522 + 0.987516i \(0.449650\pi\)
\(368\) −2.25393 0.638826i −0.117494 0.0333011i
\(369\) 0.344349 + 4.59502i 0.0179261 + 0.239207i
\(370\) −5.77110 32.0110i −0.300025 1.66417i
\(371\) 3.69958 + 4.22469i 0.192073 + 0.219335i
\(372\) 7.43655 11.0434i 0.385567 0.572574i
\(373\) −17.6934 + 18.8503i −0.916131 + 0.976030i −0.999791 0.0204642i \(-0.993486\pi\)
0.0836599 + 0.996494i \(0.473339\pi\)
\(374\) −2.99500 + 1.99186i −0.154868 + 0.102997i
\(375\) −5.34439 + 44.0150i −0.275983 + 2.27293i
\(376\) −15.6938 + 0.722906i −0.809345 + 0.0372810i
\(377\) 16.5236 + 13.0223i 0.851008 + 0.670682i
\(378\) −5.79630 1.78792i −0.298129 0.0919608i
\(379\) −8.86655 + 1.12840i −0.455444 + 0.0579620i −0.350597 0.936526i \(-0.614021\pi\)
−0.104847 + 0.994488i \(0.533435\pi\)
\(380\) 0.116198 6.73093i 0.00596081 0.345290i
\(381\) −5.03165 3.26348i −0.257779 0.167193i
\(382\) 0.741284 + 14.3020i 0.0379274 + 0.731754i
\(383\) 8.49049 + 15.5202i 0.433844 + 0.793045i 0.999501 0.0315951i \(-0.0100587\pi\)
−0.565657 + 0.824641i \(0.691377\pi\)
\(384\) 1.63518 5.19480i 0.0834448 0.265096i
\(385\) 11.7352 + 15.0680i 0.598082 + 0.767936i
\(386\) 3.98503 + 25.4446i 0.202832 + 1.29510i
\(387\) −5.47803 + 9.00317i −0.278464 + 0.457657i
\(388\) 1.52650 + 13.9075i 0.0774962 + 0.706049i
\(389\) 24.1945 + 17.7490i 1.22671 + 0.899912i 0.997301 0.0734188i \(-0.0233910\pi\)
0.229407 + 0.973331i \(0.426321\pi\)
\(390\) 18.5208 + 22.1584i 0.937836 + 1.12203i
\(391\) 1.36393 3.25303i 0.0689768 0.164513i
\(392\) 12.3856 11.2297i 0.625567 0.567186i
\(393\) −1.99517 + 4.33278i −0.100643 + 0.218560i
\(394\) 9.48740 13.4121i 0.477968 0.675691i
\(395\) −36.2530 + 17.9753i −1.82409 + 0.904438i
\(396\) −1.84594 6.10897i −0.0927620 0.306987i
\(397\) −21.9802 + 8.19166i −1.10316 + 0.411127i −0.833886 0.551937i \(-0.813889\pi\)
−0.269271 + 0.963065i \(0.586783\pi\)
\(398\) −1.05234 + 1.07066i −0.0527489 + 0.0536673i
\(399\) −1.60035 + 1.23165i −0.0801178 + 0.0616598i
\(400\) 4.55899 + 7.49271i 0.227949 + 0.374636i
\(401\) −26.4853 + 22.3975i −1.32261 + 1.11848i −0.338495 + 0.940968i \(0.609918\pi\)
−0.984119 + 0.177510i \(0.943196\pi\)
\(402\) −7.43483 + 4.70150i −0.370816 + 0.234490i
\(403\) −51.5057 27.7929i −2.56568 1.38446i
\(404\) 4.21589 + 5.95989i 0.209748 + 0.296516i
\(405\) −8.78318 + 1.63571i −0.436440 + 0.0812790i
\(406\) 0.575239 3.97137i 0.0285486 0.197096i
\(407\) −30.1688 3.83942i −1.49541 0.190313i
\(408\) −3.18869 1.44616i −0.157864 0.0715956i
\(409\) 6.72510 13.3695i 0.332535 0.661077i −0.663679 0.748018i \(-0.731006\pi\)
0.996213 + 0.0869406i \(0.0277090\pi\)
\(410\) −12.3933 + 0.285286i −0.612062 + 0.0140893i
\(411\) −5.48783 + 26.8812i −0.270695 + 1.32595i
\(412\) 1.52522 + 3.52347i 0.0751424 + 0.173589i
\(413\) −8.65762 8.60795i −0.426014 0.423570i
\(414\) −4.06306 3.35653i −0.199688 0.164965i
\(415\) −47.6844 + 27.1660i −2.34074 + 1.33353i
\(416\) −29.9122 6.28612i −1.46657 0.308202i
\(417\) 0.128426 0.168872i 0.00628905 0.00826969i
\(418\) 5.02749 + 1.67842i 0.245903 + 0.0820944i
\(419\) 22.7427 + 1.83598i 1.11106 + 0.0896937i 0.622338 0.782748i \(-0.286183\pi\)
0.488717 + 0.872442i \(0.337465\pi\)
\(420\) −2.24907 + 6.14260i −0.109744 + 0.299728i
\(421\) −0.992498 + 13.2440i −0.0483714 + 0.645471i 0.919349 + 0.393444i \(0.128716\pi\)
−0.967720 + 0.252027i \(0.918903\pi\)
\(422\) −1.28741 + 0.133814i −0.0626700 + 0.00651398i
\(423\) −7.59392 2.93008i −0.369229 0.142465i
\(424\) 13.7099 4.22893i 0.665809 0.205375i
\(425\) −12.0268 + 5.45451i −0.583388 + 0.264582i
\(426\) 0.493785 12.2532i 0.0239240 0.593667i
\(427\) 1.89583 + 1.75907i 0.0917456 + 0.0851274i
\(428\) −11.8337 + 2.62942i −0.572004 + 0.127098i
\(429\) 24.9610 10.2971i 1.20513 0.497151i
\(430\) −23.4258 15.9714i −1.12969 0.770211i
\(431\) 14.2229 + 8.54228i 0.685094 + 0.411467i 0.814531 0.580120i \(-0.196995\pi\)
−0.129437 + 0.991588i \(0.541317\pi\)
\(432\) −2.35140 + 2.68515i −0.113132 + 0.129189i
\(433\) −9.58891 36.2026i −0.460813 1.73978i −0.651989 0.758229i \(-0.726065\pi\)
0.191175 0.981556i \(-0.438770\pi\)
\(434\) 0.321111 + 11.1586i 0.0154138 + 0.535628i
\(435\) −6.31323 17.8770i −0.302696 0.857138i
\(436\) −3.62270 7.41319i −0.173496 0.355028i
\(437\) −5.01687 + 1.35975i −0.239990 + 0.0650456i
\(438\) −1.97514 3.81652i −0.0943757 0.182360i
\(439\) 18.0093 21.5464i 0.859537 1.02836i −0.139734 0.990189i \(-0.544625\pi\)
0.999271 0.0381666i \(-0.0121517\pi\)
\(440\) 47.3772 11.6774i 2.25862 0.556700i
\(441\) 8.21612 2.74294i 0.391244 0.130616i
\(442\) −1.74444 + 5.12682i −0.0829744 + 0.243858i
\(443\) −37.7154 7.02381i −1.79191 0.333711i −0.820597 0.571508i \(-0.806359\pi\)
−0.971315 + 0.237797i \(0.923575\pi\)
\(444\) −4.35680 9.46137i −0.206765 0.449017i
\(445\) 22.4989 + 9.58590i 1.06655 + 0.454415i
\(446\) −2.48929 3.35264i −0.117871 0.158752i
\(447\) −4.91391 7.67264i −0.232420 0.362903i
\(448\) 2.28137 + 6.96673i 0.107784 + 0.329147i
\(449\) 4.50695 4.27940i 0.212696 0.201958i −0.574771 0.818315i \(-0.694909\pi\)
0.787467 + 0.616357i \(0.211392\pi\)
\(450\) 2.60349 + 19.5581i 0.122730 + 0.921976i
\(451\) −3.22469 + 11.1329i −0.151845 + 0.524229i
\(452\) −0.0781107 13.5753i −0.00367402 0.638527i
\(453\) 9.21386 0.637193i 0.432905 0.0299379i
\(454\) −1.25936 + 1.96638i −0.0591046 + 0.0922866i
\(455\) 27.8385 + 7.20236i 1.30509 + 0.337652i
\(456\) 1.20589 + 5.01652i 0.0564709 + 0.234920i
\(457\) −9.98588 + 7.15035i −0.467120 + 0.334479i −0.791207 0.611548i \(-0.790547\pi\)
0.324088 + 0.946027i \(0.394943\pi\)
\(458\) 1.30312 + 15.0610i 0.0608906 + 0.703756i
\(459\) −3.58676 4.00198i −0.167416 0.186797i
\(460\) −11.3809 + 12.4082i −0.530639 + 0.578534i
\(461\) −2.42693 + 22.1112i −0.113033 + 1.02982i 0.793756 + 0.608236i \(0.208123\pi\)
−0.906790 + 0.421583i \(0.861475\pi\)
\(462\) −4.08145 3.14115i −0.189886 0.146139i
\(463\) 33.9517 4.71849i 1.57787 0.219287i 0.705708 0.708503i \(-0.250629\pi\)
0.872162 + 0.489216i \(0.162717\pi\)
\(464\) −1.99566 1.26198i −0.0926460 0.0585858i
\(465\) 25.8435 + 45.9761i 1.19846 + 2.13209i
\(466\) −7.51534 9.42394i −0.348142 0.436556i
\(467\) −9.99706 + 16.8642i −0.462609 + 0.780383i −0.997933 0.0642635i \(-0.979530\pi\)
0.535324 + 0.844647i \(0.320190\pi\)
\(468\) −7.81218 5.59388i −0.361118 0.258577i
\(469\) −3.29356 + 8.11597i −0.152082 + 0.374761i
\(470\) 8.92966 19.9944i 0.411894 0.922272i
\(471\) −6.77385 + 3.45636i −0.312122 + 0.159261i
\(472\) −29.1007 + 11.2284i −1.33947 + 0.516829i
\(473\) −20.8202 + 16.4085i −0.957314 + 0.754462i
\(474\) 8.25041 7.14147i 0.378954 0.328019i
\(475\) 17.2309 + 9.04347i 0.790607 + 0.414943i
\(476\) −1.20325 + 0.238442i −0.0551510 + 0.0109290i
\(477\) 7.38417 + 0.853517i 0.338098 + 0.0390798i
\(478\) −4.99942 + 10.2304i −0.228668 + 0.467927i
\(479\) 2.49058 12.9588i 0.113798 0.592105i −0.879440 0.476009i \(-0.842083\pi\)
0.993238 0.116096i \(-0.0370379\pi\)
\(480\) 19.7552 + 19.1949i 0.901698 + 0.876123i
\(481\) −39.5217 + 23.1221i −1.80203 + 1.05428i
\(482\) −3.50366 + 4.71882i −0.159587 + 0.214936i
\(483\) 5.03872 + 0.348457i 0.229270 + 0.0158554i
\(484\) 0.259923 4.10123i 0.0118147 0.186420i
\(485\) −51.9349 19.3553i −2.35824 0.878877i
\(486\) −12.0922 + 5.65279i −0.548512 + 0.256416i
\(487\) −1.79302 1.62568i −0.0812493 0.0736667i 0.630057 0.776549i \(-0.283032\pi\)
−0.711306 + 0.702882i \(0.751896\pi\)
\(488\) 6.07876 2.58992i 0.275173 0.117240i
\(489\) 14.2992 + 8.36572i 0.646633 + 0.378311i
\(490\) 6.22529 + 22.4560i 0.281230 + 1.01446i
\(491\) 6.85402 + 18.7195i 0.309318 + 0.844799i 0.993328 + 0.115326i \(0.0367913\pi\)
−0.684010 + 0.729473i \(0.739765\pi\)
\(492\) −3.81938 + 1.08252i −0.172191 + 0.0488036i
\(493\) 2.24848 2.75389i 0.101267 0.124029i
\(494\) 7.53984 2.61398i 0.339233 0.117608i
\(495\) 24.9051 + 4.34221i 1.11940 + 0.195168i
\(496\) 6.07216 + 2.50494i 0.272648 + 0.112475i
\(497\) −6.70317 10.2059i −0.300678 0.457796i
\(498\) 10.6140 10.3130i 0.475626 0.462136i
\(499\) −1.31097 + 4.72896i −0.0586870 + 0.211697i −0.987169 0.159681i \(-0.948954\pi\)
0.928482 + 0.371378i \(0.121115\pi\)
\(500\) 39.5578 3.19344i 1.76908 0.142815i
\(501\) 22.5050 + 5.54697i 1.00545 + 0.247820i
\(502\) −16.0125 + 11.7467i −0.714672 + 0.524282i
\(503\) −9.28793 10.1262i −0.414128 0.451507i 0.494460 0.869201i \(-0.335366\pi\)
−0.908588 + 0.417694i \(0.862839\pi\)
\(504\) −0.508677 + 5.18379i −0.0226583 + 0.230904i
\(505\) −28.5964 + 4.31021i −1.27252 + 0.191802i
\(506\) −6.62820 11.4804i −0.294659 0.510365i
\(507\) 12.4424 21.5508i 0.552585 0.957106i
\(508\) −1.96119 + 4.99702i −0.0870136 + 0.221707i
\(509\) 29.2384 15.3455i 1.29597 0.680176i 0.331270 0.943536i \(-0.392523\pi\)
0.964698 + 0.263359i \(0.0848305\pi\)
\(510\) 3.79797 3.06469i 0.168177 0.135707i
\(511\) −3.81135 1.94474i −0.168604 0.0860304i
\(512\) 7.22569 + 0.751044i 0.319333 + 0.0331918i
\(513\) −1.40504 + 7.79345i −0.0620341 + 0.344089i
\(514\) 4.91670 2.95297i 0.216866 0.130250i
\(515\) −15.1844 0.874648i −0.669103 0.0385416i
\(516\) −8.54370 3.07259i −0.376115 0.135263i
\(517\) −15.3250 13.5768i −0.673993 0.597106i
\(518\) 7.58858 + 4.32324i 0.333423 + 0.189952i
\(519\) 2.83923 + 7.48643i 0.124628 + 0.328618i
\(520\) 45.8054 57.4381i 2.00870 2.51883i
\(521\) 26.3481 + 4.28199i 1.15433 + 0.187597i 0.707296 0.706918i \(-0.249915\pi\)
0.447037 + 0.894515i \(0.352479\pi\)
\(522\) −2.96691 4.40591i −0.129858 0.192842i
\(523\) 3.14024 11.8559i 0.137313 0.518421i −0.862608 0.505873i \(-0.831170\pi\)
0.999921 0.0125484i \(-0.00399439\pi\)
\(524\) 4.15704 + 0.974015i 0.181601 + 0.0425500i
\(525\) −12.9410 13.7871i −0.564792 0.601719i
\(526\) 22.9301 3.72651i 0.999800 0.162483i
\(527\) −4.84620 + 8.62149i −0.211104 + 0.375558i
\(528\) −2.66696 + 1.43911i −0.116065 + 0.0626294i
\(529\) −8.95888 4.44209i −0.389517 0.193134i
\(530\) −3.32139 + 19.7200i −0.144272 + 0.856584i
\(531\) −16.1434 0.743617i −0.700564 0.0322702i
\(532\) 1.36668 + 1.18298i 0.0592531 + 0.0512889i
\(533\) 6.37548 + 16.2445i 0.276153 + 0.703626i
\(534\) −6.52124 0.982919i −0.282202 0.0425351i
\(535\) 11.7604 46.5591i 0.508445 2.01293i
\(536\) 15.5016 + 16.1389i 0.669569 + 0.697095i
\(537\) 6.97375 12.7477i 0.300940 0.550103i
\(538\) 14.3019 + 6.88742i 0.616598 + 0.296938i
\(539\) 21.7748 + 0.752030i 0.937907 + 0.0323922i
\(540\) 9.64580 + 23.7691i 0.415089 + 1.02286i
\(541\) 8.61724 35.8479i 0.370484 1.54122i −0.407658 0.913135i \(-0.633654\pi\)
0.778142 0.628089i \(-0.216163\pi\)
\(542\) 9.70276 18.2314i 0.416769 0.783104i
\(543\) −8.45769 0.194691i −0.362954 0.00835499i
\(544\) −1.14937 + 5.03572i −0.0492788 + 0.215905i
\(545\) 32.6835 + 0.376128i 1.40001 + 0.0161115i
\(546\) −7.75423 −0.331850
\(547\) −6.91987 22.3409i −0.295872 0.955227i
\(548\) 24.5572 1.04903
\(549\) 3.42313 + 0.0393940i 0.146096 + 0.00168129i
\(550\) −11.0436 + 48.3852i −0.470901 + 2.06315i
\(551\) −5.23749 0.120564i −0.223124 0.00513619i
\(552\) 6.06250 11.3914i 0.258037 0.484848i
\(553\) 2.53942 10.5640i 0.107987 0.449229i
\(554\) 9.08692 + 22.3919i 0.386066 + 0.951342i
\(555\) 41.2387 + 1.42425i 1.75048 + 0.0604560i
\(556\) −0.171093 0.0823941i −0.00725596 0.00349429i
\(557\) −19.2661 + 35.2174i −0.816329 + 1.49221i 0.0533410 + 0.998576i \(0.483013\pi\)
−0.869670 + 0.493634i \(0.835668\pi\)
\(558\) 10.2361 + 10.6569i 0.433330 + 0.451144i
\(559\) −9.77433 + 38.6964i −0.413410 + 1.63668i
\(560\) −3.19123 0.481000i −0.134854 0.0203260i
\(561\) −1.66703 4.24752i −0.0703820 0.179330i
\(562\) −13.9535 12.0780i −0.588591 0.509478i
\(563\) −41.1390 1.89500i −1.73380 0.0798646i −0.844038 0.536283i \(-0.819828\pi\)
−0.889765 + 0.456418i \(0.849132\pi\)
\(564\) 1.16468 6.91505i 0.0490420 0.291176i
\(565\) 48.1807 + 23.8895i 2.02698 + 1.00504i
\(566\) −15.7635 + 8.50611i −0.662589 + 0.357538i
\(567\) 1.17545 2.09115i 0.0493643 0.0878201i
\(568\) −30.7921 + 5.00421i −1.29201 + 0.209972i
\(569\) 25.2554 + 26.9067i 1.05876 + 1.12799i 0.991481 + 0.130253i \(0.0415789\pi\)
0.0672808 + 0.997734i \(0.478568\pi\)
\(570\) −7.00179 1.64055i −0.293273 0.0687153i
\(571\) 2.79881 10.5668i 0.117126 0.442207i −0.882477 0.470355i \(-0.844126\pi\)
0.999604 + 0.0281484i \(0.00896108\pi\)
\(572\) −13.4996 20.0471i −0.564445 0.838210i
\(573\) −17.9324 2.91429i −0.749135 0.121746i
\(574\) 2.07531 2.60236i 0.0866219 0.108620i
\(575\) −17.2589 45.5080i −0.719746 1.89781i
\(576\) 8.43141 + 4.80340i 0.351309 + 0.200142i
\(577\) −9.23651 8.18284i −0.384521 0.340656i 0.448614 0.893726i \(-0.351918\pi\)
−0.833135 + 0.553070i \(0.813456\pi\)
\(578\) −14.4348 5.19121i −0.600407 0.215926i
\(579\) −32.6180 1.87886i −1.35556 0.0780828i
\(580\) −14.5477 + 8.73737i −0.604062 + 0.362799i
\(581\) 2.61444 14.5017i 0.108465 0.601633i
\(582\) 14.8659 + 1.54518i 0.616212 + 0.0640497i
\(583\) 16.6547 + 8.49808i 0.689768 + 0.351954i
\(584\) −8.50760 + 6.86503i −0.352047 + 0.284077i
\(585\) 33.7030 17.6887i 1.39345 0.731338i
\(586\) −8.93138 + 22.7568i −0.368952 + 0.940075i
\(587\) −9.53763 + 16.5197i −0.393660 + 0.681839i −0.992929 0.118708i \(-0.962125\pi\)
0.599269 + 0.800548i \(0.295458\pi\)
\(588\) 3.73121 + 6.46265i 0.153873 + 0.266515i
\(589\) 14.4111 2.17213i 0.593800 0.0895010i
\(590\) 4.24587 43.2686i 0.174800 1.78134i
\(591\) 14.0873 + 15.3588i 0.579472 + 0.631775i
\(592\) 4.14359 3.03974i 0.170301 0.124932i
\(593\) 24.1141 + 5.94360i 0.990249 + 0.244074i 0.700986 0.713175i \(-0.252744\pi\)
0.289263 + 0.957250i \(0.406590\pi\)
\(594\) −20.1309 + 1.62514i −0.825983 + 0.0666802i
\(595\) 1.29813 4.68266i 0.0532183 0.191970i
\(596\) −5.84908 + 5.68318i −0.239587 + 0.232792i
\(597\) −1.04549 1.59181i −0.0427892 0.0651485i
\(598\) −18.4506 7.61140i −0.754500 0.311253i
\(599\) 5.38856 + 0.939496i 0.220171 + 0.0383868i 0.280769 0.959775i \(-0.409411\pi\)
−0.0605979 + 0.998162i \(0.519301\pi\)
\(600\) −45.6454 + 15.8248i −1.86347 + 0.646044i
\(601\) 12.4379 15.2336i 0.507351 0.621392i −0.455888 0.890037i \(-0.650678\pi\)
0.963239 + 0.268645i \(0.0865758\pi\)
\(602\) 7.32424 2.07589i 0.298514 0.0846069i
\(603\) 3.98626 + 10.8871i 0.162333 + 0.443359i
\(604\) −2.20846 7.96642i −0.0898611 0.324149i
\(605\) 14.0512 + 8.22061i 0.571262 + 0.334215i
\(606\) 7.17450 3.05677i 0.291444 0.124173i
\(607\) 5.30958 + 4.81406i 0.215509 + 0.195397i 0.772304 0.635254i \(-0.219104\pi\)
−0.556794 + 0.830650i \(0.687969\pi\)
\(608\) 6.89512 3.22330i 0.279634 0.130722i
\(609\) 4.77009 + 1.77773i 0.193294 + 0.0720373i
\(610\) −0.582519 + 9.19136i −0.0235855 + 0.372147i
\(611\) −30.7523 2.12670i −1.24410 0.0860372i
\(612\) −0.967946 + 1.30365i −0.0391269 + 0.0526971i
\(613\) −2.42491 + 1.41869i −0.0979410 + 0.0573002i −0.553132 0.833094i \(-0.686567\pi\)
0.455191 + 0.890394i \(0.349571\pi\)
\(614\) −18.2355 17.7182i −0.735923 0.715050i
\(615\) 2.96810 15.4435i 0.119686 0.622740i
\(616\) −5.75245 + 11.7713i −0.231773 + 0.474281i
\(617\) −0.509869 0.0589344i −0.0205266 0.00237261i 0.104553 0.994519i \(-0.466659\pi\)
−0.125080 + 0.992147i \(0.539919\pi\)
\(618\) 4.02324 0.797265i 0.161839 0.0320707i
\(619\) −7.75937 4.07243i −0.311875 0.163685i 0.301522 0.953459i \(-0.402505\pi\)
−0.613397 + 0.789774i \(0.710198\pi\)
\(620\) 35.6938 30.8962i 1.43350 1.24082i
\(621\) 15.5560 12.2597i 0.624240 0.491966i
\(622\) −14.5843 + 5.62729i −0.584777 + 0.225634i
\(623\) −5.84911 + 2.98451i −0.234339 + 0.119572i
\(624\) −1.86061 + 4.16608i −0.0744839 + 0.166777i
\(625\) −33.7377 + 83.1363i −1.34951 + 3.32545i
\(626\) −12.7599 9.13669i −0.509989 0.365175i
\(627\) −3.42870 + 5.78393i −0.136929 + 0.230988i
\(628\) 4.24400 + 5.32180i 0.169354 + 0.212363i
\(629\) 3.79150 + 6.74515i 0.151177 + 0.268947i
\(630\) −6.13615 3.88026i −0.244470 0.154593i
\(631\) 38.5723 5.36064i 1.53554 0.213404i 0.680802 0.732468i \(-0.261631\pi\)
0.854735 + 0.519064i \(0.173719\pi\)
\(632\) −21.9982 16.9302i −0.875043 0.673446i
\(633\) 0.179149 1.63218i 0.00712052 0.0648733i
\(634\) −2.29632 + 2.50359i −0.0911987 + 0.0994301i
\(635\) −14.1928 15.8359i −0.563225 0.628427i
\(636\) 0.552027 + 6.38016i 0.0218893 + 0.252990i
\(637\) 26.6713 19.0979i 1.05676 0.756685i
\(638\) −3.12279 12.9909i −0.123632 0.514314i
\(639\) −15.6476 4.04833i −0.619008 0.160150i
\(640\) 10.4146 16.2615i 0.411675 0.642794i
\(641\) −24.0659 + 1.66430i −0.950547 + 0.0657360i −0.535932 0.844261i \(-0.680040\pi\)
−0.414615 + 0.909997i \(0.636084\pi\)
\(642\) 0.0745100 + 12.9495i 0.00294068 + 0.511076i
\(643\) −1.59949 + 5.52207i −0.0630776 + 0.217769i −0.985865 0.167539i \(-0.946418\pi\)
0.922788 + 0.385309i \(0.125905\pi\)
\(644\) −0.596536 4.48132i −0.0235068 0.176589i
\(645\) 26.0826 24.7657i 1.02700 0.975150i
\(646\) −0.419673 1.28158i −0.0165118 0.0504230i
\(647\) 5.60763 + 8.75583i 0.220459 + 0.344227i 0.934554 0.355822i \(-0.115799\pi\)
−0.714095 + 0.700049i \(0.753162\pi\)
\(648\) −3.65362 4.92078i −0.143528 0.193307i
\(649\) −37.3967 15.9333i −1.46795 0.625435i
\(650\) 31.2540 + 67.8721i 1.22588 + 2.66216i
\(651\) −13.9220 2.59273i −0.545648 0.101617i
\(652\) 4.77657 14.0381i 0.187065 0.549776i
\(653\) 35.3456 11.8001i 1.38318 0.461774i 0.474865 0.880059i \(-0.342497\pi\)
0.908316 + 0.418285i \(0.137369\pi\)
\(654\) −8.55806 + 2.10937i −0.334647 + 0.0824830i
\(655\) −10.8471 + 12.9775i −0.423830 + 0.507073i
\(656\) −0.900193 1.73942i −0.0351466 0.0679131i
\(657\) −5.46664 + 1.48165i −0.213274 + 0.0578047i
\(658\) 2.58153 + 5.28263i 0.100639 + 0.205938i
\(659\) 1.87304 + 5.30383i 0.0729631 + 0.206608i 0.973735 0.227685i \(-0.0731156\pi\)
−0.900772 + 0.434293i \(0.856998\pi\)
\(660\) 0.626506 + 21.7710i 0.0243867 + 0.847435i
\(661\) 0.455907 + 1.72126i 0.0177327 + 0.0669493i 0.974953 0.222411i \(-0.0713926\pi\)
−0.957220 + 0.289360i \(0.906557\pi\)
\(662\) −7.47360 + 8.53439i −0.290470 + 0.331698i
\(663\) −5.88940 3.53717i −0.228725 0.137372i
\(664\) −31.1060 21.2077i −1.20715 0.823018i
\(665\) −6.61936 + 2.73068i −0.256688 + 0.105891i
\(666\) 11.2855 2.50761i 0.437303 0.0971678i
\(667\) 9.60507 + 8.91220i 0.371910 + 0.345082i
\(668\) 0.835385 20.7299i 0.0323220 0.802062i
\(669\) 4.82430 2.18795i 0.186518 0.0845912i
\(670\) −29.8053 + 9.19373i −1.15148 + 0.355185i
\(671\) 8.03369 + 3.09977i 0.310137 + 0.119665i
\(672\) −7.35627 + 0.764617i −0.283774 + 0.0294957i
\(673\) −0.398744 + 5.32087i −0.0153704 + 0.205104i 0.984231 + 0.176886i \(0.0566024\pi\)
−0.999602 + 0.0282183i \(0.991017\pi\)
\(674\) 10.8916 29.7469i 0.419530 1.14581i
\(675\) −73.9107 5.96669i −2.84482 0.229658i
\(676\) −21.1276 7.05344i −0.812602 0.271286i
\(677\) 1.70972 2.24817i 0.0657098 0.0864042i −0.761945 0.647642i \(-0.775755\pi\)
0.827655 + 0.561238i \(0.189675\pi\)
\(678\) −14.1921 2.98249i −0.545043 0.114542i
\(679\) 12.9305 7.36658i 0.496229 0.282703i
\(680\) −9.57131 7.90695i −0.367043 0.303218i
\(681\) −2.10064 2.08859i −0.0804968 0.0800349i
\(682\) 14.7653 + 34.1099i 0.565394 + 1.30614i
\(683\) 0.181908 0.891042i 0.00696050 0.0340948i −0.976162 0.217043i \(-0.930359\pi\)
0.983123 + 0.182948i \(0.0585640\pi\)
\(684\) 2.39202 0.0550629i 0.0914612 0.00210538i
\(685\) −43.7152 + 86.9056i −1.67027 + 3.32049i
\(686\) −12.7378 5.77694i −0.486331 0.220565i
\(687\) −19.0241 2.42110i −0.725815 0.0923707i
\(688\) 0.642127 4.43317i 0.0244809 0.169013i
\(689\) 27.6752 5.15401i 1.05434 0.196352i
\(690\) 10.3871 + 14.6839i 0.395428 + 0.559006i
\(691\) −13.7077 7.39676i −0.521464 0.281386i 0.192829 0.981232i \(-0.438234\pi\)
−0.714294 + 0.699846i \(0.753252\pi\)
\(692\) 6.05722 3.83035i 0.230261 0.145608i
\(693\) −5.18315 + 4.38317i −0.196892 + 0.166503i
\(694\) −1.08216 1.77854i −0.0410783 0.0675124i
\(695\) 0.596155 0.458810i 0.0226134 0.0174036i
\(696\) 9.11686 9.27561i 0.345574 0.351591i
\(697\) 2.76331 1.02984i 0.104668 0.0390079i
\(698\) 5.96249 + 19.7323i 0.225684 + 0.746879i
\(699\) 13.6995 6.79265i 0.518164 0.256922i
\(700\) −9.77428 + 13.8176i −0.369433 + 0.522257i
\(701\) 5.81128 12.6200i 0.219489 0.476649i −0.766756 0.641938i \(-0.778130\pi\)
0.986245 + 0.165289i \(0.0528557\pi\)
\(702\) −22.5271 + 20.4247i −0.850229 + 0.770881i
\(703\) 4.40882 10.5153i 0.166282 0.396590i
\(704\) 15.6534 + 18.7279i 0.589961 + 0.705832i
\(705\) 22.3984 + 16.4315i 0.843574 + 0.618845i
\(706\) −0.634552 5.78124i −0.0238817 0.217580i
\(707\) 4.03623 6.63356i 0.151798 0.249481i
\(708\) −2.15425 13.7550i −0.0809615 0.516945i
\(709\) 8.89472 + 11.4208i 0.334048 + 0.428917i 0.926272 0.376857i \(-0.122995\pi\)
−0.592223 + 0.805774i \(0.701750\pi\)
\(710\) 13.0555 41.4762i 0.489965 1.55657i
\(711\) −6.90241 12.6173i −0.258861 0.473185i
\(712\) 0.868389 + 16.7543i 0.0325443 + 0.627894i
\(713\) −30.5814 19.8348i −1.14528 0.742819i
\(714\) −0.0226179 + 1.31018i −0.000846453 + 0.0490322i
\(715\) 94.9759 12.0871i 3.55190 0.452031i
\(716\) −12.4282 3.83360i −0.464465 0.143268i
\(717\) −11.3451 8.94110i −0.423690 0.333912i
\(718\) 9.12710 0.420424i 0.340620 0.0156901i
\(719\) −0.0478729 + 0.394269i −0.00178536 + 0.0147037i −0.993574 0.113182i \(-0.963896\pi\)
0.991789 + 0.127885i \(0.0408189\pi\)
\(720\) −3.55709 + 2.36568i −0.132565 + 0.0881638i
\(721\) 2.79489 2.97763i 0.104087 0.110893i
\(722\) 9.03755 13.4209i 0.336343 0.499475i
\(723\) −4.91196 5.60915i −0.182678 0.208607i
\(724\) 1.34352 + 7.45221i 0.0499315 + 0.276959i
\(725\) −3.66586 48.9175i −0.136147 1.81675i
\(726\) −4.22358 1.19708i −0.156752 0.0444277i
\(727\) 10.5275 7.35643i 0.390445 0.272835i −0.361086 0.932532i \(-0.617594\pi\)
0.751531 + 0.659697i \(0.229316\pi\)
\(728\) 3.94571 + 19.3274i 0.146238 + 0.716320i
\(729\) −5.15470 22.5842i −0.190915 0.836452i
\(730\) −3.21947 14.8934i −0.119158 0.551230i
\(731\) 6.50976 + 1.76437i 0.240772 + 0.0652577i
\(732\) 0.556644 + 2.89629i 0.0205741 + 0.107050i
\(733\) −1.40399 + 2.13764i −0.0518576 + 0.0789556i −0.860835 0.508884i \(-0.830058\pi\)
0.808977 + 0.587840i \(0.200021\pi\)
\(734\) 13.2132 9.00864i 0.487710 0.332515i
\(735\) −29.5128 + 1.69999i −1.08860 + 0.0627052i
\(736\) −18.2542 5.40142i −0.672858 0.199099i
\(737\) −0.167798 + 29.1625i −0.00618092 + 1.07422i
\(738\) −0.278677 4.39715i −0.0102583 0.161861i
\(739\) 4.74120 15.6906i 0.174408 0.577187i −0.825510 0.564387i \(-0.809112\pi\)
0.999918 0.0127996i \(-0.00407434\pi\)
\(740\) −6.13430 36.4211i −0.225501 1.33887i
\(741\) 1.22024 + 10.0496i 0.0448268 + 0.369182i
\(742\) −3.49074 4.07999i −0.128149 0.149781i
\(743\) −6.44918 + 5.98397i −0.236598 + 0.219530i −0.789556 0.613678i \(-0.789689\pi\)
0.552959 + 0.833209i \(0.313499\pi\)
\(744\) −20.5531 + 29.7763i −0.753513 + 1.09165i
\(745\) −9.70007 30.8162i −0.355383 1.12902i
\(746\) 17.1243 17.8283i 0.626966 0.652741i
\(747\) −10.3299 16.5454i −0.377951 0.605365i
\(748\) −3.42659 + 2.22245i −0.125288 + 0.0812608i
\(749\) 7.56689 +