Properties

Label 576.2.bl.a.155.45
Level $576$
Weight $2$
Character 576.155
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 155.45
Character \(\chi\) \(=\) 576.155
Dual form 576.2.bl.a.275.45

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.251868 - 1.39160i) q^{2} +(-0.989597 + 1.42151i) q^{3} +(-1.87313 + 0.701000i) q^{4} +(-0.766869 - 2.25912i) q^{5} +(2.22743 + 1.01909i) q^{6} +(-2.30722 + 1.77039i) q^{7} +(1.44729 + 2.43009i) q^{8} +(-1.04140 - 2.81345i) q^{9} +O(q^{10})\) \(q+(-0.251868 - 1.39160i) q^{2} +(-0.989597 + 1.42151i) q^{3} +(-1.87313 + 0.701000i) q^{4} +(-0.766869 - 2.25912i) q^{5} +(2.22743 + 1.01909i) q^{6} +(-2.30722 + 1.77039i) q^{7} +(1.44729 + 2.43009i) q^{8} +(-1.04140 - 2.81345i) q^{9} +(-2.95066 + 1.63618i) q^{10} +(0.303338 + 4.62804i) q^{11} +(0.857158 - 3.35638i) q^{12} +(3.82383 - 3.35341i) q^{13} +(3.04480 + 2.76483i) q^{14} +(3.97026 + 1.14551i) q^{15} +(3.01720 - 2.62612i) q^{16} +(-0.291199 - 0.291199i) q^{17} +(-3.65291 + 2.15783i) q^{18} +(-1.13368 - 5.69939i) q^{19} +(3.02009 + 3.69405i) q^{20} +(-0.233418 - 5.03172i) q^{21} +(6.36401 - 1.58778i) q^{22} +(6.64252 + 5.09699i) q^{23} +(-4.88664 - 0.347461i) q^{24} +(-0.548784 + 0.421097i) q^{25} +(-5.62971 - 4.47664i) q^{26} +(5.02992 + 1.30382i) q^{27} +(3.08067 - 4.93353i) q^{28} +(2.62104 + 5.31494i) q^{29} +(0.594111 - 5.81355i) q^{30} +(-1.09637 - 1.89897i) q^{31} +(-4.41446 - 3.53731i) q^{32} +(-6.87901 - 4.14870i) q^{33} +(-0.331890 + 0.478577i) q^{34} +(5.76888 + 3.85464i) q^{35} +(3.92290 + 4.53992i) q^{36} +(7.87307 + 1.56605i) q^{37} +(-7.64576 + 3.01312i) q^{38} +(0.982863 + 8.75414i) q^{39} +(4.37999 - 5.13318i) q^{40} +(5.26714 - 6.86427i) q^{41} +(-6.94337 + 1.59215i) q^{42} +(-0.0412961 - 0.630056i) q^{43} +(-3.81245 - 8.45627i) q^{44} +(-5.55731 + 4.51019i) q^{45} +(5.41995 - 10.5275i) q^{46} +(-3.30442 - 12.3323i) q^{47} +(0.747259 + 6.88779i) q^{48} +(0.377246 - 1.40790i) q^{49} +(0.724222 + 0.657630i) q^{50} +(0.702113 - 0.125774i) q^{51} +(-4.81177 + 8.96185i) q^{52} +(5.24476 + 7.84934i) q^{53} +(0.547529 - 7.32804i) q^{54} +(10.2227 - 4.23438i) q^{55} +(-7.64145 - 3.04448i) q^{56} +(9.22364 + 4.02856i) q^{57} +(6.73614 - 4.98611i) q^{58} +(6.43497 - 2.18438i) q^{59} +(-8.23980 + 0.637478i) q^{60} +(3.80143 + 7.70854i) q^{61} +(-2.36647 + 2.00400i) q^{62} +(7.38364 + 4.64757i) q^{63} +(-3.81068 + 7.03411i) q^{64} +(-10.5081 - 6.06687i) q^{65} +(-4.04075 + 10.6178i) q^{66} +(0.630049 - 9.61269i) q^{67} +(0.749583 + 0.341322i) q^{68} +(-13.8188 + 4.39847i) q^{69} +(3.91114 - 8.99885i) q^{70} +(-1.92635 + 4.65062i) q^{71} +(5.32972 - 6.60258i) q^{72} +(-2.14885 - 5.18777i) q^{73} +(0.196351 - 11.3506i) q^{74} +(-0.0555197 - 1.19682i) q^{75} +(6.11880 + 9.88096i) q^{76} +(-8.89333 - 10.1409i) q^{77} +(11.9347 - 3.57264i) q^{78} +(1.77019 + 6.60645i) q^{79} +(-8.24653 - 4.80233i) q^{80} +(-6.83098 + 5.85983i) q^{81} +(-10.8790 - 5.60089i) q^{82} +(-3.58617 + 10.5645i) q^{83} +(3.96446 + 9.26142i) q^{84} +(-0.434543 + 0.881166i) q^{85} +(-0.866388 + 0.216159i) q^{86} +(-10.1490 - 1.53381i) q^{87} +(-10.8075 + 7.43528i) q^{88} +(-3.09356 + 7.46852i) q^{89} +(7.67611 + 6.59761i) q^{90} +(-2.88557 + 14.5067i) q^{91} +(-16.0153 - 4.89088i) q^{92} +(3.78437 + 0.320708i) q^{93} +(-16.3294 + 7.70455i) q^{94} +(-12.0062 + 6.93181i) q^{95} +(9.39686 - 2.77470i) q^{96} +(-12.4101 - 7.16499i) q^{97} +(-2.05426 - 0.170372i) q^{98} +(12.7049 - 5.67306i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{9}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.251868 1.39160i −0.178097 0.984013i
\(3\) −0.989597 + 1.42151i −0.571344 + 0.820711i
\(4\) −1.87313 + 0.701000i −0.936563 + 0.350500i
\(5\) −0.766869 2.25912i −0.342954 1.01031i −0.972411 0.233275i \(-0.925056\pi\)
0.629456 0.777036i \(-0.283278\pi\)
\(6\) 2.22743 + 1.01909i 0.909345 + 0.416043i
\(7\) −2.30722 + 1.77039i −0.872048 + 0.669146i −0.944602 0.328219i \(-0.893552\pi\)
0.0725539 + 0.997364i \(0.476885\pi\)
\(8\) 1.44729 + 2.43009i 0.511696 + 0.859167i
\(9\) −1.04140 2.81345i −0.347132 0.937816i
\(10\) −2.95066 + 1.63618i −0.933080 + 0.517405i
\(11\) 0.303338 + 4.62804i 0.0914599 + 1.39541i 0.759124 + 0.650946i \(0.225627\pi\)
−0.667665 + 0.744462i \(0.732706\pi\)
\(12\) 0.857158 3.35638i 0.247440 0.968903i
\(13\) 3.82383 3.35341i 1.06054 0.930067i 0.0628501 0.998023i \(-0.479981\pi\)
0.997688 + 0.0679557i \(0.0216477\pi\)
\(14\) 3.04480 + 2.76483i 0.813758 + 0.738933i
\(15\) 3.97026 + 1.14551i 1.02512 + 0.295769i
\(16\) 3.01720 2.62612i 0.754299 0.656531i
\(17\) −0.291199 0.291199i −0.0706261 0.0706261i 0.670911 0.741538i \(-0.265903\pi\)
−0.741538 + 0.670911i \(0.765903\pi\)
\(18\) −3.65291 + 2.15783i −0.861000 + 0.508605i
\(19\) −1.13368 5.69939i −0.260084 1.30753i −0.861158 0.508337i \(-0.830261\pi\)
0.601075 0.799193i \(-0.294739\pi\)
\(20\) 3.02009 + 3.69405i 0.675312 + 0.826014i
\(21\) −0.233418 5.03172i −0.0509360 1.09801i
\(22\) 6.36401 1.58778i 1.35681 0.338516i
\(23\) 6.64252 + 5.09699i 1.38506 + 1.06280i 0.989528 + 0.144344i \(0.0461071\pi\)
0.395534 + 0.918451i \(0.370560\pi\)
\(24\) −4.88664 0.347461i −0.997482 0.0709252i
\(25\) −0.548784 + 0.421097i −0.109757 + 0.0842194i
\(26\) −5.62971 4.47664i −1.10408 0.877941i
\(27\) 5.02992 + 1.30382i 0.968008 + 0.250920i
\(28\) 3.08067 4.93353i 0.582192 0.932350i
\(29\) 2.62104 + 5.31494i 0.486715 + 0.986960i 0.992262 + 0.124161i \(0.0396240\pi\)
−0.505547 + 0.862799i \(0.668709\pi\)
\(30\) 0.594111 5.81355i 0.108469 1.06140i
\(31\) −1.09637 1.89897i −0.196914 0.341064i 0.750613 0.660743i \(-0.229758\pi\)
−0.947526 + 0.319678i \(0.896425\pi\)
\(32\) −4.41446 3.53731i −0.780373 0.625314i
\(33\) −6.87901 4.14870i −1.19748 0.722196i
\(34\) −0.331890 + 0.478577i −0.0569187 + 0.0820753i
\(35\) 5.76888 + 3.85464i 0.975118 + 0.651553i
\(36\) 3.92290 + 4.53992i 0.653816 + 0.756654i
\(37\) 7.87307 + 1.56605i 1.29432 + 0.257457i 0.793754 0.608239i \(-0.208124\pi\)
0.500570 + 0.865696i \(0.333124\pi\)
\(38\) −7.64576 + 3.01312i −1.24031 + 0.488793i
\(39\) 0.982863 + 8.75414i 0.157384 + 1.40178i
\(40\) 4.37999 5.13318i 0.692537 0.811627i
\(41\) 5.26714 6.86427i 0.822589 1.07202i −0.173602 0.984816i \(-0.555541\pi\)
0.996191 0.0872027i \(-0.0277928\pi\)
\(42\) −6.94337 + 1.59215i −1.07139 + 0.245675i
\(43\) −0.0412961 0.630056i −0.00629759 0.0960826i 0.993553 0.113369i \(-0.0361641\pi\)
−0.999851 + 0.0172860i \(0.994497\pi\)
\(44\) −3.81245 8.45627i −0.574749 1.27483i
\(45\) −5.55731 + 4.51019i −0.828435 + 0.672340i
\(46\) 5.41995 10.5275i 0.799128 1.55220i
\(47\) −3.30442 12.3323i −0.482000 1.79885i −0.593207 0.805050i \(-0.702139\pi\)
0.111208 0.993797i \(-0.464528\pi\)
\(48\) 0.747259 + 6.88779i 0.107858 + 0.994166i
\(49\) 0.377246 1.40790i 0.0538923 0.201129i
\(50\) 0.724222 + 0.657630i 0.102420 + 0.0930029i
\(51\) 0.702113 0.125774i 0.0983154 0.0176118i
\(52\) −4.81177 + 8.96185i −0.667272 + 1.24279i
\(53\) 5.24476 + 7.84934i 0.720424 + 1.07819i 0.993235 + 0.116123i \(0.0370466\pi\)
−0.272811 + 0.962068i \(0.587953\pi\)
\(54\) 0.547529 7.32804i 0.0745092 0.997220i
\(55\) 10.2227 4.23438i 1.37843 0.570964i
\(56\) −7.64145 3.04448i −1.02113 0.406835i
\(57\) 9.22364 + 4.02856i 1.22170 + 0.533595i
\(58\) 6.73614 4.98611i 0.884499 0.654709i
\(59\) 6.43497 2.18438i 0.837761 0.284382i 0.130601 0.991435i \(-0.458309\pi\)
0.707160 + 0.707053i \(0.249976\pi\)
\(60\) −8.23980 + 0.637478i −1.06375 + 0.0822981i
\(61\) 3.80143 + 7.70854i 0.486723 + 0.986977i 0.992261 + 0.124172i \(0.0396276\pi\)
−0.505537 + 0.862805i \(0.668706\pi\)
\(62\) −2.36647 + 2.00400i −0.300542 + 0.254508i
\(63\) 7.38364 + 4.64757i 0.930252 + 0.585538i
\(64\) −3.81068 + 7.03411i −0.476334 + 0.879264i
\(65\) −10.5081 6.06687i −1.30337 0.752503i
\(66\) −4.04075 + 10.6178i −0.497382 + 1.30696i
\(67\) 0.630049 9.61269i 0.0769728 1.17438i −0.768317 0.640069i \(-0.778906\pi\)
0.845290 0.534308i \(-0.179428\pi\)
\(68\) 0.749583 + 0.341322i 0.0909003 + 0.0413913i
\(69\) −13.8188 + 4.39847i −1.66359 + 0.529513i
\(70\) 3.91114 8.99885i 0.467471 1.07557i
\(71\) −1.92635 + 4.65062i −0.228615 + 0.551926i −0.996009 0.0892495i \(-0.971553\pi\)
0.767394 + 0.641176i \(0.221553\pi\)
\(72\) 5.32972 6.60258i 0.628114 0.778121i
\(73\) −2.14885 5.18777i −0.251503 0.607183i 0.746822 0.665024i \(-0.231579\pi\)
−0.998326 + 0.0578405i \(0.981579\pi\)
\(74\) 0.196351 11.3506i 0.0228254 1.31948i
\(75\) −0.0555197 1.19682i −0.00641086 0.138197i
\(76\) 6.11880 + 9.88096i 0.701874 + 1.13342i
\(77\) −8.89333 10.1409i −1.01349 1.15566i
\(78\) 11.9347 3.57264i 1.35134 0.404522i
\(79\) 1.77019 + 6.60645i 0.199162 + 0.743283i 0.991150 + 0.132746i \(0.0423796\pi\)
−0.791988 + 0.610537i \(0.790954\pi\)
\(80\) −8.24653 4.80233i −0.921990 0.536917i
\(81\) −6.83098 + 5.85983i −0.758998 + 0.651093i
\(82\) −10.8790 5.60089i −1.20138 0.618514i
\(83\) −3.58617 + 10.5645i −0.393634 + 1.15961i 0.551852 + 0.833942i \(0.313921\pi\)
−0.945485 + 0.325665i \(0.894412\pi\)
\(84\) 3.96446 + 9.26142i 0.432558 + 1.01050i
\(85\) −0.434543 + 0.881166i −0.0471328 + 0.0955759i
\(86\) −0.866388 + 0.216159i −0.0934250 + 0.0233090i
\(87\) −10.1490 1.53381i −1.08809 0.164442i
\(88\) −10.8075 + 7.43528i −1.15209 + 0.792604i
\(89\) −3.09356 + 7.46852i −0.327917 + 0.791661i 0.670830 + 0.741611i \(0.265938\pi\)
−0.998747 + 0.0500500i \(0.984062\pi\)
\(90\) 7.67611 + 6.59761i 0.809133 + 0.695449i
\(91\) −2.88557 + 14.5067i −0.302490 + 1.52072i
\(92\) −16.0153 4.89088i −1.66971 0.509910i
\(93\) 3.78437 + 0.320708i 0.392420 + 0.0332559i
\(94\) −16.3294 + 7.70455i −1.68425 + 0.794664i
\(95\) −12.0062 + 6.93181i −1.23181 + 0.711188i
\(96\) 9.39686 2.77470i 0.959063 0.283192i
\(97\) −12.4101 7.16499i −1.26006 0.727495i −0.286972 0.957939i \(-0.592649\pi\)
−0.973085 + 0.230444i \(0.925982\pi\)
\(98\) −2.05426 0.170372i −0.207511 0.0172102i
\(99\) 12.7049 5.67306i 1.27689 0.570164i
\(100\) 0.732753 1.17347i 0.0732753 0.117347i
\(101\) 8.46411 + 7.42283i 0.842211 + 0.738599i 0.967324 0.253544i \(-0.0815961\pi\)
−0.125113 + 0.992142i \(0.539929\pi\)
\(102\) −0.351866 0.945385i −0.0348400 0.0936070i
\(103\) −3.29009 + 0.433149i −0.324182 + 0.0426794i −0.290861 0.956765i \(-0.593942\pi\)
−0.0333212 + 0.999445i \(0.510608\pi\)
\(104\) 13.6833 + 4.43887i 1.34176 + 0.435267i
\(105\) −11.1883 + 4.38599i −1.09186 + 0.428029i
\(106\) 9.60220 9.27563i 0.932648 0.900929i
\(107\) −0.271524 0.406365i −0.0262493 0.0392848i 0.818113 0.575058i \(-0.195020\pi\)
−0.844362 + 0.535773i \(0.820020\pi\)
\(108\) −10.3356 + 1.08375i −0.994548 + 0.104284i
\(109\) 13.4513 2.67563i 1.28840 0.256279i 0.497093 0.867697i \(-0.334401\pi\)
0.791308 + 0.611418i \(0.209401\pi\)
\(110\) −8.46735 13.1595i −0.807331 1.25470i
\(111\) −10.0173 + 9.64191i −0.950802 + 0.915169i
\(112\) −2.31207 + 11.4007i −0.218470 + 1.07726i
\(113\) 1.50383 + 0.402951i 0.141469 + 0.0379064i 0.328859 0.944379i \(-0.393336\pi\)
−0.187390 + 0.982286i \(0.560003\pi\)
\(114\) 3.28302 13.8503i 0.307483 1.29720i
\(115\) 6.42078 18.9150i 0.598741 1.76383i
\(116\) −8.63531 8.11821i −0.801769 0.753756i
\(117\) −13.4168 7.26591i −1.24038 0.671734i
\(118\) −4.66055 8.40475i −0.429038 0.773720i
\(119\) 1.18740 + 0.156324i 0.108849 + 0.0143302i
\(120\) 2.96246 + 11.3060i 0.270434 + 1.03209i
\(121\) −10.4209 + 1.37194i −0.947353 + 0.124721i
\(122\) 9.76978 7.23162i 0.884514 0.654720i
\(123\) 4.54530 + 14.2802i 0.409836 + 1.28760i
\(124\) 3.38481 + 2.78845i 0.303965 + 0.250410i
\(125\) −8.54617 5.71037i −0.764393 0.510751i
\(126\) 4.60787 11.4457i 0.410502 1.01966i
\(127\) 12.4458i 1.10439i −0.833716 0.552193i \(-0.813791\pi\)
0.833716 0.552193i \(-0.186209\pi\)
\(128\) 10.7485 + 3.53129i 0.950041 + 0.312125i
\(129\) 0.936499 + 0.564798i 0.0824541 + 0.0497277i
\(130\) −5.79603 + 16.1512i −0.508345 + 1.41655i
\(131\) 15.6952 + 1.02872i 1.37130 + 0.0898796i 0.733167 0.680049i \(-0.238041\pi\)
0.638130 + 0.769928i \(0.279708\pi\)
\(132\) 15.7935 + 2.94885i 1.37465 + 0.256664i
\(133\) 12.7058 + 11.1427i 1.10173 + 0.966194i
\(134\) −13.5358 + 1.54435i −1.16931 + 0.133411i
\(135\) −0.911796 12.3631i −0.0784749 1.06404i
\(136\) 0.286189 1.12909i 0.0245405 0.0968187i
\(137\) −1.03804 + 7.88467i −0.0886854 + 0.673632i 0.888137 + 0.459579i \(0.152000\pi\)
−0.976822 + 0.214053i \(0.931333\pi\)
\(138\) 9.60145 + 18.1225i 0.817330 + 1.54269i
\(139\) −2.30195 + 4.66790i −0.195249 + 0.395926i −0.972377 0.233417i \(-0.925009\pi\)
0.777128 + 0.629343i \(0.216676\pi\)
\(140\) −13.5079 3.17624i −1.14163 0.268441i
\(141\) 20.8005 + 7.50670i 1.75172 + 0.632178i
\(142\) 6.95700 + 1.50937i 0.583819 + 0.126664i
\(143\) 16.6796 + 16.6796i 1.39482 + 1.39482i
\(144\) −10.5306 5.75389i −0.877547 0.479491i
\(145\) 9.99712 9.99712i 0.830216 0.830216i
\(146\) −6.67810 + 4.29698i −0.552684 + 0.355620i
\(147\) 1.62803 + 1.92951i 0.134277 + 0.159144i
\(148\) −15.8450 + 2.58561i −1.30245 + 0.212536i
\(149\) 1.75502 + 0.865482i 0.143777 + 0.0709031i 0.512754 0.858535i \(-0.328625\pi\)
−0.368977 + 0.929439i \(0.620292\pi\)
\(150\) −1.65152 + 0.378702i −0.134846 + 0.0309209i
\(151\) 8.47711 + 1.11603i 0.689858 + 0.0908215i 0.467301 0.884098i \(-0.345226\pi\)
0.222557 + 0.974920i \(0.428560\pi\)
\(152\) 12.2093 11.0036i 0.990302 0.892513i
\(153\) −0.516020 + 1.12253i −0.0417177 + 0.0907509i
\(154\) −11.8722 + 14.9302i −0.956687 + 1.20311i
\(155\) −3.44923 + 3.93309i −0.277049 + 0.315913i
\(156\) −7.97768 15.7086i −0.638725 1.25770i
\(157\) 0.521356 7.95435i 0.0416087 0.634826i −0.925225 0.379419i \(-0.876124\pi\)
0.966834 0.255407i \(-0.0822095\pi\)
\(158\) 8.74770 4.12736i 0.695930 0.328355i
\(159\) −16.3481 0.312186i −1.29649 0.0247579i
\(160\) −4.60591 + 12.6855i −0.364129 + 1.00287i
\(161\) −24.3494 −1.91900
\(162\) 9.87507 + 8.03013i 0.775859 + 0.630906i
\(163\) 1.21771 1.82243i 0.0953784 0.142744i −0.780712 0.624892i \(-0.785143\pi\)
0.876090 + 0.482148i \(0.160143\pi\)
\(164\) −5.05416 + 16.5499i −0.394663 + 1.29233i
\(165\) −4.09712 + 18.7220i −0.318961 + 1.45751i
\(166\) 15.6049 + 2.32967i 1.21117 + 0.180818i
\(167\) −0.532318 4.04336i −0.0411920 0.312884i −0.999620 0.0275512i \(-0.991229\pi\)
0.958428 0.285333i \(-0.0921043\pi\)
\(168\) 11.8897 7.84961i 0.917311 0.605611i
\(169\) 1.67948 12.7569i 0.129191 0.981299i
\(170\) 1.33568 + 0.382775i 0.102442 + 0.0293575i
\(171\) −14.8543 + 9.12487i −1.13594 + 0.697796i
\(172\) 0.519022 + 1.15123i 0.0395751 + 0.0877801i
\(173\) −4.06402 1.37955i −0.308982 0.104885i 0.162642 0.986685i \(-0.447999\pi\)
−0.471624 + 0.881800i \(0.656332\pi\)
\(174\) 0.421759 + 14.5098i 0.0319734 + 1.09998i
\(175\) 0.520660 1.94313i 0.0393582 0.146887i
\(176\) 13.0690 + 13.1671i 0.985116 + 0.992509i
\(177\) −3.26290 + 11.3090i −0.245255 + 0.850039i
\(178\) 11.1724 + 2.42394i 0.837406 + 0.181682i
\(179\) −0.293958 1.47783i −0.0219715 0.110458i 0.968243 0.250010i \(-0.0804339\pi\)
−0.990215 + 0.139552i \(0.955434\pi\)
\(180\) 7.24790 12.3438i 0.540226 0.920055i
\(181\) 0.102733 0.0686443i 0.00763612 0.00510229i −0.551746 0.834012i \(-0.686038\pi\)
0.559382 + 0.828910i \(0.311038\pi\)
\(182\) 20.9144 + 0.361792i 1.55028 + 0.0268178i
\(183\) −14.7197 2.22456i −1.08811 0.164444i
\(184\) −2.77245 + 23.5188i −0.204388 + 1.73383i
\(185\) −2.49971 18.9872i −0.183782 1.39597i
\(186\) −0.506860 5.34712i −0.0371648 0.392070i
\(187\) 1.25935 1.43601i 0.0920928 0.105012i
\(188\) 14.8345 + 20.7835i 1.08192 + 1.51579i
\(189\) −13.9134 + 5.89673i −1.01205 + 0.428924i
\(190\) 12.6703 + 14.9620i 0.919201 + 1.08546i
\(191\) 0.492101 0.852344i 0.0356072 0.0616735i −0.847673 0.530520i \(-0.821997\pi\)
0.883280 + 0.468846i \(0.155330\pi\)
\(192\) −6.22805 12.3779i −0.449471 0.893295i
\(193\) −2.86907 4.96937i −0.206520 0.357703i 0.744096 0.668073i \(-0.232881\pi\)
−0.950616 + 0.310369i \(0.899547\pi\)
\(194\) −6.84512 + 19.0746i −0.491451 + 1.36948i
\(195\) 19.0229 8.93369i 1.36226 0.639755i
\(196\) 0.280310 + 2.90162i 0.0200221 + 0.207259i
\(197\) 2.71079 + 0.539210i 0.193136 + 0.0384171i 0.290710 0.956811i \(-0.406108\pi\)
−0.0975745 + 0.995228i \(0.531108\pi\)
\(198\) −11.0946 16.2513i −0.788459 1.15493i
\(199\) 10.2768 + 4.25681i 0.728506 + 0.301757i 0.715938 0.698164i \(-0.245999\pi\)
0.0125681 + 0.999921i \(0.495999\pi\)
\(200\) −1.81756 0.724144i −0.128521 0.0512047i
\(201\) 13.0411 + 10.4083i 0.919846 + 0.734146i
\(202\) 8.19780 13.6483i 0.576795 0.960289i
\(203\) −15.4569 7.62248i −1.08486 0.534993i
\(204\) −1.22698 + 0.727771i −0.0859056 + 0.0509541i
\(205\) −19.5464 6.63512i −1.36518 0.463417i
\(206\) 1.43144 + 4.46941i 0.0997331 + 0.311399i
\(207\) 7.42261 23.9964i 0.515907 1.66786i
\(208\) 2.73078 20.1597i 0.189346 1.39783i
\(209\) 26.0331 6.97556i 1.80075 0.482509i
\(210\) 8.92153 + 14.4650i 0.615644 + 0.998178i
\(211\) 3.65264 3.20328i 0.251458 0.220523i −0.524332 0.851514i \(-0.675685\pi\)
0.775790 + 0.630991i \(0.217352\pi\)
\(212\) −15.3265 11.0262i −1.05263 0.757284i
\(213\) −4.70460 7.34056i −0.322354 0.502967i
\(214\) −0.497111 + 0.480205i −0.0339818 + 0.0328261i
\(215\) −1.39171 + 0.576463i −0.0949135 + 0.0393145i
\(216\) 4.11137 + 14.1102i 0.279743 + 0.960075i
\(217\) 5.89148 + 2.44033i 0.399940 + 0.165660i
\(218\) −7.11137 18.0450i −0.481643 1.22216i
\(219\) 9.50098 + 2.07919i 0.642017 + 0.140499i
\(220\) −16.1801 + 15.0976i −1.09086 + 1.01788i
\(221\) −2.09000 0.136986i −0.140589 0.00921468i
\(222\) 15.9408 + 11.5117i 1.06987 + 0.772612i
\(223\) 9.46953 16.4017i 0.634126 1.09834i −0.352573 0.935784i \(-0.614693\pi\)
0.986700 0.162555i \(-0.0519734\pi\)
\(224\) 16.4476 + 0.346028i 1.09895 + 0.0231199i
\(225\) 1.75624 + 1.10545i 0.117082 + 0.0736965i
\(226\) 0.181981 2.19423i 0.0121052 0.145958i
\(227\) 5.00982 2.47057i 0.332513 0.163977i −0.268366 0.963317i \(-0.586484\pi\)
0.600880 + 0.799340i \(0.294817\pi\)
\(228\) −20.1011 1.08022i −1.33122 0.0715392i
\(229\) 3.26261 + 9.61135i 0.215600 + 0.635136i 0.999891 + 0.0147438i \(0.00469326\pi\)
−0.784292 + 0.620392i \(0.786973\pi\)
\(230\) −27.9394 4.17110i −1.84227 0.275034i
\(231\) 23.2162 2.60658i 1.52752 0.171500i
\(232\) −9.12237 + 14.0617i −0.598913 + 0.923193i
\(233\) −2.49185 6.01586i −0.163246 0.394112i 0.820996 0.570933i \(-0.193418\pi\)
−0.984243 + 0.176821i \(0.943418\pi\)
\(234\) −6.73203 + 20.5009i −0.440086 + 1.34018i
\(235\) −25.3261 + 16.9223i −1.65209 + 1.10389i
\(236\) −10.5223 + 8.60253i −0.684940 + 0.559977i
\(237\) −11.1429 4.02137i −0.723811 0.261216i
\(238\) −0.0815261 1.69176i −0.00528455 0.109661i
\(239\) −18.0054 4.82455i −1.16468 0.312074i −0.375844 0.926683i \(-0.622647\pi\)
−0.788832 + 0.614609i \(0.789314\pi\)
\(240\) 14.9873 6.97018i 0.967427 0.449923i
\(241\) −11.4111 + 3.05759i −0.735052 + 0.196957i −0.606878 0.794795i \(-0.707578\pi\)
−0.128174 + 0.991752i \(0.540912\pi\)
\(242\) 4.53388 + 14.1562i 0.291449 + 0.909995i
\(243\) −1.56991 15.5092i −0.100710 0.994916i
\(244\) −12.5242 11.7743i −0.801783 0.753769i
\(245\) −3.46992 + 0.227431i −0.221685 + 0.0145300i
\(246\) 18.7275 9.92197i 1.19402 0.632602i
\(247\) −23.4474 17.9918i −1.49192 1.14479i
\(248\) 3.02789 5.41264i 0.192271 0.343703i
\(249\) −11.4687 15.5524i −0.726802 0.985594i
\(250\) −5.79407 + 13.3311i −0.366449 + 0.843136i
\(251\) 3.75900 18.8978i 0.237266 1.19282i −0.659979 0.751284i \(-0.729435\pi\)
0.897245 0.441533i \(-0.145565\pi\)
\(252\) −17.0884 3.52954i −1.07647 0.222340i
\(253\) −21.5741 + 32.2880i −1.35636 + 2.02993i
\(254\) −17.3196 + 3.13470i −1.08673 + 0.196688i
\(255\) −0.822566 1.48971i −0.0515111 0.0932891i
\(256\) 2.20696 15.8471i 0.137935 0.990441i
\(257\) 24.5602 14.1799i 1.53202 0.884515i 0.532757 0.846269i \(-0.321156\pi\)
0.999268 0.0382465i \(-0.0121772\pi\)
\(258\) 0.550102 1.44549i 0.0342479 0.0899923i
\(259\) −20.9374 + 10.3252i −1.30099 + 0.641577i
\(260\) 23.9359 + 3.99781i 1.48444 + 0.247934i
\(261\) 12.2238 12.9091i 0.756633 0.799055i
\(262\) −2.52155 22.1006i −0.155782 1.36538i
\(263\) 6.45886 + 8.41735i 0.398270 + 0.519036i 0.948842 0.315752i \(-0.102257\pi\)
−0.550571 + 0.834788i \(0.685590\pi\)
\(264\) 0.125760 22.7210i 0.00774000 1.39838i
\(265\) 13.7106 17.8680i 0.842235 1.09762i
\(266\) 12.3060 20.4879i 0.754532 1.25620i
\(267\) −7.55522 11.7884i −0.462372 0.721436i
\(268\) 5.55834 + 18.4474i 0.339530 + 1.12686i
\(269\) 2.93284 0.583379i 0.178819 0.0355692i −0.104869 0.994486i \(-0.533442\pi\)
0.283687 + 0.958917i \(0.408442\pi\)
\(270\) −16.9748 + 4.38271i −1.03306 + 0.266724i
\(271\) −5.44701 + 5.44701i −0.330882 + 0.330882i −0.852922 0.522039i \(-0.825171\pi\)
0.522039 + 0.852922i \(0.325171\pi\)
\(272\) −1.64333 0.113880i −0.0996415 0.00690501i
\(273\) −17.7659 18.4577i −1.07524 1.11711i
\(274\) 11.2338 0.541357i 0.678658 0.0327046i
\(275\) −2.11532 2.41206i −0.127559 0.145453i
\(276\) 22.8011 17.9259i 1.37247 1.07901i
\(277\) 17.2369 1.12977i 1.03566 0.0678810i 0.461925 0.886919i \(-0.347159\pi\)
0.573739 + 0.819038i \(0.305492\pi\)
\(278\) 7.07566 + 2.02772i 0.424370 + 0.121614i
\(279\) −4.20089 + 5.06215i −0.251501 + 0.303063i
\(280\) −1.01786 + 19.5977i −0.0608286 + 1.17119i
\(281\) −14.0954 18.3694i −0.840859 1.09583i −0.994188 0.107654i \(-0.965666\pi\)
0.153329 0.988175i \(-0.451001\pi\)
\(282\) 5.20737 30.8368i 0.310094 1.83630i
\(283\) −19.8099 + 6.72457i −1.17758 + 0.399734i −0.840536 0.541755i \(-0.817760\pi\)
−0.337043 + 0.941489i \(0.609427\pi\)
\(284\) 0.348208 10.0616i 0.0206624 0.597044i
\(285\) 2.02768 23.9267i 0.120110 1.41730i
\(286\) 19.0104 27.4125i 1.12411 1.62093i
\(287\) 25.1623i 1.48528i
\(288\) −5.35483 + 16.1036i −0.315537 + 0.948913i
\(289\) 16.8304i 0.990024i
\(290\) −16.4300 11.3941i −0.964802 0.669084i
\(291\) 22.4661 10.5507i 1.31699 0.618493i
\(292\) 7.66169 + 8.21101i 0.448367 + 0.480513i
\(293\) 8.74303 2.96786i 0.510774 0.173384i −0.0541416 0.998533i \(-0.517242\pi\)
0.564915 + 0.825149i \(0.308909\pi\)
\(294\) 2.27507 2.75155i 0.132685 0.160474i
\(295\) −9.86955 12.8623i −0.574628 0.748869i
\(296\) 7.58901 + 21.3988i 0.441102 + 1.24378i
\(297\) −4.50837 + 23.6742i −0.261602 + 1.37371i
\(298\) 0.762375 2.66029i 0.0441632 0.154106i
\(299\) 42.4921 2.78508i 2.45738 0.161065i
\(300\) 0.942967 + 2.20288i 0.0544422 + 0.127183i
\(301\) 1.21073 + 1.38057i 0.0697851 + 0.0795747i
\(302\) −0.582034 12.0779i −0.0334923 0.695004i
\(303\) −18.9277 + 4.68624i −1.08737 + 0.269217i
\(304\) −18.3878 14.2190i −1.05461 0.815515i
\(305\) 14.4993 14.4993i 0.830230 0.830230i
\(306\) 1.69208 + 0.435367i 0.0967299 + 0.0248883i
\(307\) 4.04751 0.805100i 0.231004 0.0459495i −0.0782309 0.996935i \(-0.524927\pi\)
0.309235 + 0.950986i \(0.399927\pi\)
\(308\) 23.7671 + 12.7609i 1.35426 + 0.727122i
\(309\) 2.64014 5.10555i 0.150192 0.290445i
\(310\) 6.34205 + 3.80934i 0.360204 + 0.216356i
\(311\) −19.5966 + 25.5388i −1.11122 + 1.44818i −0.231410 + 0.972856i \(0.574334\pi\)
−0.879813 + 0.475319i \(0.842333\pi\)
\(312\) −19.8508 + 15.0583i −1.12383 + 0.852506i
\(313\) 7.92076 + 10.3225i 0.447708 + 0.583464i 0.961622 0.274378i \(-0.0884718\pi\)
−0.513914 + 0.857841i \(0.671805\pi\)
\(314\) −11.2006 + 1.27792i −0.632088 + 0.0721174i
\(315\) 4.83714 20.2446i 0.272542 1.14066i
\(316\) −7.94691 11.1338i −0.447049 0.626325i
\(317\) −11.2991 + 5.57210i −0.634620 + 0.312960i −0.730993 0.682385i \(-0.760943\pi\)
0.0963724 + 0.995345i \(0.469276\pi\)
\(318\) 3.68313 + 22.8288i 0.206540 + 1.28017i
\(319\) −23.8027 + 13.7425i −1.33270 + 0.769433i
\(320\) 18.8132 + 3.21454i 1.05169 + 0.179698i
\(321\) 0.846353 + 0.0161620i 0.0472388 + 0.000902077i
\(322\) 6.13284 + 33.8848i 0.341770 + 1.88833i
\(323\) −1.32953 + 1.98978i −0.0739770 + 0.110714i
\(324\) 8.68755 15.7647i 0.482641 0.875818i
\(325\) −0.686347 + 3.45050i −0.0380717 + 0.191399i
\(326\) −2.84281 1.23556i −0.157448 0.0684313i
\(327\) −9.50792 + 21.7690i −0.525789 + 1.20383i
\(328\) 24.3039 + 2.86500i 1.34196 + 0.158193i
\(329\) 29.4570 + 22.6032i 1.62402 + 1.24615i
\(330\) 27.0856 + 0.986101i 1.49101 + 0.0542831i
\(331\) 23.5259 1.54197i 1.29310 0.0847544i 0.596734 0.802439i \(-0.296465\pi\)
0.696368 + 0.717685i \(0.254798\pi\)
\(332\) −0.688384 22.3026i −0.0377800 1.22401i
\(333\) −3.79299 23.7813i −0.207854 1.30321i
\(334\) −5.49268 + 1.75917i −0.300546 + 0.0962574i
\(335\) −22.1994 + 5.94832i −1.21288 + 0.324991i
\(336\) −13.9182 14.5687i −0.759299 0.794788i
\(337\) 16.2706 + 4.35968i 0.886314 + 0.237487i 0.673129 0.739525i \(-0.264950\pi\)
0.213185 + 0.977012i \(0.431616\pi\)
\(338\) −18.1756 + 0.875882i −0.988620 + 0.0476417i
\(339\) −2.06099 + 1.73896i −0.111938 + 0.0944473i
\(340\) 0.196256 1.95515i 0.0106435 0.106033i
\(341\) 8.45593 5.65007i 0.457914 0.305968i
\(342\) 16.4395 + 18.3731i 0.888948 + 0.993503i
\(343\) −6.16826 14.8915i −0.333055 0.804066i
\(344\) 1.47133 1.01223i 0.0793285 0.0545758i
\(345\) 20.5339 + 27.8454i 1.10551 + 1.49915i
\(346\) −0.896192 + 6.00298i −0.0481796 + 0.322722i
\(347\) 0.414549 + 1.22122i 0.0222542 + 0.0655587i 0.957490 0.288467i \(-0.0931457\pi\)
−0.935236 + 0.354026i \(0.884812\pi\)
\(348\) 20.0856 4.24146i 1.07670 0.227366i
\(349\) −16.0512 + 7.91560i −0.859203 + 0.423712i −0.817849 0.575432i \(-0.804834\pi\)
−0.0413540 + 0.999145i \(0.513167\pi\)
\(350\) −2.83520 0.235141i −0.151548 0.0125688i
\(351\) 23.6058 11.8818i 1.25998 0.634202i
\(352\) 15.0318 21.5033i 0.801195 1.14613i
\(353\) 5.39054 9.33669i 0.286910 0.496942i −0.686161 0.727450i \(-0.740705\pi\)
0.973070 + 0.230508i \(0.0740387\pi\)
\(354\) 16.5595 + 1.69229i 0.880129 + 0.0899440i
\(355\) 11.9836 + 0.785445i 0.636022 + 0.0416871i
\(356\) 0.559195 16.1581i 0.0296373 0.856375i
\(357\) −1.39726 + 1.53320i −0.0739509 + 0.0811457i
\(358\) −1.98251 + 0.781291i −0.104779 + 0.0412925i
\(359\) 14.0915 + 5.83688i 0.743720 + 0.308059i 0.722176 0.691709i \(-0.243142\pi\)
0.0215434 + 0.999768i \(0.493142\pi\)
\(360\) −19.0032 6.97719i −1.00156 0.367730i
\(361\) −13.6441 + 5.65157i −0.718110 + 0.297451i
\(362\) −0.121401 0.125675i −0.00638069 0.00660534i
\(363\) 8.36225 16.1711i 0.438904 0.848762i
\(364\) −4.76419 29.1957i −0.249711 1.53027i
\(365\) −10.0719 + 8.83285i −0.527189 + 0.462333i
\(366\) 0.611699 + 21.0442i 0.0319740 + 1.10000i
\(367\) −20.3629 + 5.45621i −1.06293 + 0.284812i −0.747586 0.664165i \(-0.768787\pi\)
−0.315346 + 0.948977i \(0.602121\pi\)
\(368\) 33.4271 2.06547i 1.74251 0.107670i
\(369\) −24.7974 7.67039i −1.29090 0.399305i
\(370\) −25.7931 + 8.26087i −1.34092 + 0.429462i
\(371\) −25.9973 8.82488i −1.34971 0.458165i
\(372\) −7.31341 + 2.05211i −0.379183 + 0.106397i
\(373\) −13.4834 6.64929i −0.698145 0.344287i 0.0583409 0.998297i \(-0.481419\pi\)
−0.756486 + 0.654009i \(0.773086\pi\)
\(374\) −2.31555 1.39083i −0.119734 0.0719182i
\(375\) 16.5746 6.49753i 0.855910 0.335531i
\(376\) 25.1861 25.8785i 1.29887 1.33458i
\(377\) 27.8456 + 11.5340i 1.43412 + 0.594032i
\(378\) 11.7102 + 17.8768i 0.602310 + 0.919481i
\(379\) 15.5580 + 3.09468i 0.799162 + 0.158963i 0.577746 0.816216i \(-0.303932\pi\)
0.221416 + 0.975180i \(0.428932\pi\)
\(380\) 17.6300 21.4005i 0.904400 1.09782i
\(381\) 17.6919 + 12.3163i 0.906382 + 0.630985i
\(382\) −1.31007 0.470132i −0.0670290 0.0240540i
\(383\) 5.99419 + 10.3822i 0.306289 + 0.530508i 0.977547 0.210716i \(-0.0675794\pi\)
−0.671259 + 0.741223i \(0.734246\pi\)
\(384\) −15.6564 + 11.7846i −0.798964 + 0.601379i
\(385\) −16.0895 + 27.8679i −0.819998 + 1.42028i
\(386\) −6.19278 + 5.24423i −0.315204 + 0.266925i
\(387\) −1.72962 + 0.772323i −0.0879218 + 0.0392594i
\(388\) 28.2684 + 4.72142i 1.43511 + 0.239694i
\(389\) −5.79908 + 6.61258i −0.294025 + 0.335271i −0.879925 0.475112i \(-0.842408\pi\)
0.585900 + 0.810383i \(0.300741\pi\)
\(390\) −17.2234 24.2223i −0.872142 1.22654i
\(391\) −0.450058 3.41853i −0.0227604 0.172883i
\(392\) 3.96731 1.12091i 0.200379 0.0566143i
\(393\) −16.9943 + 21.2929i −0.857248 + 1.07409i
\(394\) 0.0676061 3.90816i 0.00340595 0.196890i
\(395\) 13.5673 9.06536i 0.682644 0.456128i
\(396\) −19.8210 + 19.5325i −0.996043 + 0.981543i
\(397\) 2.72211 + 13.6849i 0.136619 + 0.686828i 0.987008 + 0.160673i \(0.0513666\pi\)
−0.850389 + 0.526154i \(0.823633\pi\)
\(398\) 3.33539 15.3734i 0.167188 0.770601i
\(399\) −28.4131 + 7.03470i −1.42243 + 0.352175i
\(400\) −0.549938 + 2.71171i −0.0274969 + 0.135585i
\(401\) −2.37826 + 8.87578i −0.118765 + 0.443235i −0.999541 0.0302971i \(-0.990355\pi\)
0.880776 + 0.473532i \(0.157021\pi\)
\(402\) 11.1996 20.7695i 0.558587 1.03589i
\(403\) −10.5603 3.58475i −0.526047 0.178569i
\(404\) −21.0577 7.97054i −1.04766 0.396549i
\(405\) 18.4766 + 10.9383i 0.918108 + 0.543529i
\(406\) −6.71439 + 23.4297i −0.333230 + 1.16280i
\(407\) −4.85955 + 36.9119i −0.240879 + 1.82966i
\(408\) 1.32180 + 1.52417i 0.0654391 + 0.0754574i
\(409\) −0.289324 2.19764i −0.0143062 0.108666i 0.982802 0.184663i \(-0.0591194\pi\)
−0.997108 + 0.0759969i \(0.975786\pi\)
\(410\) −4.31035 + 28.8721i −0.212873 + 1.42589i
\(411\) −10.1809 9.27822i −0.502188 0.457661i
\(412\) 5.85912 3.11770i 0.288658 0.153598i
\(413\) −10.9797 + 16.4323i −0.540275 + 0.808579i
\(414\) −35.2630 4.28542i −1.73308 0.210617i
\(415\) 26.6167 1.30656
\(416\) −28.7422 + 1.27741i −1.40920 + 0.0626304i
\(417\) −4.35747 7.89159i −0.213386 0.386453i
\(418\) −16.2641 34.4709i −0.795504 1.68603i
\(419\) −0.743743 + 11.3473i −0.0363342 + 0.554353i 0.940423 + 0.340006i \(0.110429\pi\)
−0.976757 + 0.214347i \(0.931238\pi\)
\(420\) 17.8825 16.0585i 0.872575 0.783574i
\(421\) 17.2867 19.7117i 0.842501 0.960688i −0.157137 0.987577i \(-0.550227\pi\)
0.999638 + 0.0268883i \(0.00855986\pi\)
\(422\) −5.37767 4.27622i −0.261781 0.208163i
\(423\) −31.2550 + 22.1396i −1.51967 + 1.07646i
\(424\) −11.4839 + 24.1056i −0.557707 + 1.17067i
\(425\) 0.282429 + 0.0371824i 0.0136998 + 0.00180361i
\(426\) −9.03022 + 8.39579i −0.437516 + 0.406778i
\(427\) −22.4179 11.0553i −1.08488 0.535002i
\(428\) 0.793461 + 0.570834i 0.0383534 + 0.0275923i
\(429\) −40.2164 + 7.20420i −1.94167 + 0.347822i
\(430\) 1.15273 + 1.79151i 0.0555898 + 0.0863943i
\(431\) 11.7011 11.7011i 0.563620 0.563620i −0.366713 0.930334i \(-0.619517\pi\)
0.930334 + 0.366713i \(0.119517\pi\)
\(432\) 18.6002 9.27529i 0.894904 0.446258i
\(433\) 4.81140 + 4.81140i 0.231221 + 0.231221i 0.813202 0.581981i \(-0.197722\pi\)
−0.581981 + 0.813202i \(0.697722\pi\)
\(434\) 1.91210 8.81325i 0.0917838 0.423050i
\(435\) 4.31792 + 24.1041i 0.207028 + 1.15571i
\(436\) −23.3204 + 14.4412i −1.11684 + 0.691606i
\(437\) 21.5192 43.6367i 1.02940 2.08742i
\(438\) 0.500422 13.7453i 0.0239111 0.656775i
\(439\) −0.0810507 + 0.615641i −0.00386834 + 0.0293829i −0.993270 0.115820i \(-0.963050\pi\)
0.989402 + 0.145203i \(0.0463836\pi\)
\(440\) 25.0852 + 18.7137i 1.19589 + 0.892140i
\(441\) −4.35392 + 0.404822i −0.207329 + 0.0192772i
\(442\) 0.335774 + 2.94296i 0.0159711 + 0.139982i
\(443\) −18.9214 16.5936i −0.898981 0.788385i 0.0790443 0.996871i \(-0.474813\pi\)
−0.978025 + 0.208486i \(0.933146\pi\)
\(444\) 12.0047 25.0826i 0.569719 1.19037i
\(445\) 19.2447 + 1.26136i 0.912284 + 0.0597943i
\(446\) −25.2097 9.04678i −1.19372 0.428377i
\(447\) −2.96706 + 1.63831i −0.140337 + 0.0774895i
\(448\) −3.66108 22.9757i −0.172970 1.08550i
\(449\) 18.9006i 0.891974i 0.895039 + 0.445987i \(0.147147\pi\)
−0.895039 + 0.445987i \(0.852853\pi\)
\(450\) 1.09601 2.72241i 0.0516662 0.128336i
\(451\) 33.3659 + 22.2944i 1.57114 + 1.04980i
\(452\) −3.09934 + 0.299410i −0.145781 + 0.0140831i
\(453\) −9.97538 + 10.9459i −0.468684 + 0.514283i
\(454\) −4.69987 6.34943i −0.220576 0.297993i
\(455\) 34.9853 4.60591i 1.64014 0.215928i
\(456\) 3.55957 + 28.2448i 0.166692 + 1.32268i
\(457\) −4.10996 0.541087i −0.192256 0.0253110i 0.0337832 0.999429i \(-0.489244\pi\)
−0.226039 + 0.974118i \(0.572578\pi\)
\(458\) 12.5535 6.96106i 0.586584 0.325269i
\(459\) −1.08504 1.84438i −0.0506451 0.0860882i
\(460\) 1.23250 + 39.9311i 0.0574656 + 1.86180i
\(461\) 1.08334 3.19143i 0.0504563 0.148640i −0.918781 0.394768i \(-0.870825\pi\)
0.969237 + 0.246128i \(0.0791584\pi\)
\(462\) −9.47475 31.6513i −0.440805 1.47255i
\(463\) −6.78522 1.81809i −0.315336 0.0844940i 0.0976799 0.995218i \(-0.468858\pi\)
−0.413016 + 0.910724i \(0.635525\pi\)
\(464\) 21.8659 + 9.15306i 1.01510 + 0.424920i
\(465\) −2.17759 8.79529i −0.100983 0.407872i
\(466\) −7.74408 + 4.98287i −0.358737 + 0.230827i
\(467\) −30.9381 + 6.15398i −1.43165 + 0.284772i −0.849189 0.528089i \(-0.822909\pi\)
−0.582457 + 0.812861i \(0.697909\pi\)
\(468\) 30.2247 + 4.20481i 1.39714 + 0.194368i
\(469\) 15.5646 + 23.2940i 0.718706 + 1.07562i
\(470\) 29.9280 + 30.9817i 1.38048 + 1.42908i
\(471\) 10.7913 + 8.61271i 0.497236 + 0.396853i
\(472\) 14.6215 + 12.4761i 0.673010 + 0.574260i
\(473\) 2.90340 0.382240i 0.133498 0.0175754i
\(474\) −2.78961 + 16.5194i −0.128131 + 0.758761i
\(475\) 3.02214 + 2.65035i 0.138665 + 0.121606i
\(476\) −2.33373 + 0.539552i −0.106966 + 0.0247303i
\(477\) 16.6218 22.9302i 0.761062 1.04990i
\(478\) −2.17887 + 26.2716i −0.0996591 + 1.20164i
\(479\) 8.87603 + 5.12458i 0.405556 + 0.234148i 0.688879 0.724877i \(-0.258103\pi\)
−0.283322 + 0.959025i \(0.591437\pi\)
\(480\) −13.4746 19.1008i −0.615026 0.871830i
\(481\) 35.3568 20.4133i 1.61213 0.930766i
\(482\) 7.12903 + 15.1096i 0.324719 + 0.688223i
\(483\) 24.0961 34.6130i 1.09641 1.57495i
\(484\) 18.5579 9.87485i 0.843541 0.448857i
\(485\) −6.66965 + 33.5306i −0.302853 + 1.52255i
\(486\) −21.1873 + 6.09096i −0.961074 + 0.276291i
\(487\) 4.15186 10.0235i 0.188139 0.454208i −0.801462 0.598045i \(-0.795944\pi\)
0.989601 + 0.143838i \(0.0459443\pi\)
\(488\) −13.2307 + 20.3943i −0.598923 + 0.923209i
\(489\) 1.38557 + 3.53446i 0.0626575 + 0.159834i
\(490\) 1.19045 + 4.77147i 0.0537792 + 0.215553i
\(491\) −12.5982 + 25.5466i −0.568549 + 1.15290i 0.402809 + 0.915284i \(0.368034\pi\)
−0.971358 + 0.237620i \(0.923633\pi\)
\(492\) −18.5243 23.5623i −0.835141 1.06227i
\(493\) 0.784462 2.31095i 0.0353304 0.104080i
\(494\) −19.1318 + 37.1610i −0.860781 + 1.67195i
\(495\) −22.5591 24.3514i −1.01396 1.09451i
\(496\) −8.29488 2.85036i −0.372451 0.127985i
\(497\) −3.78891 14.1404i −0.169956 0.634283i
\(498\) −18.7542 + 19.8771i −0.840395 + 0.890714i
\(499\) −18.5846 21.1917i −0.831960 0.948669i 0.167346 0.985898i \(-0.446480\pi\)
−0.999307 + 0.0372293i \(0.988147\pi\)
\(500\) 20.0110 + 4.70537i 0.894920 + 0.210430i
\(501\) 6.27447 + 3.24460i 0.280322 + 0.144958i
\(502\) −27.2450 0.471304i −1.21600 0.0210353i
\(503\) 2.33867 + 5.64605i 0.104276 + 0.251745i 0.967403 0.253243i \(-0.0814971\pi\)
−0.863127 + 0.504987i \(0.831497\pi\)
\(504\) −0.607696 + 24.6693i −0.0270689 + 1.09886i
\(505\) 10.2782 24.8138i 0.457375 1.10420i
\(506\) 50.3659 + 21.8904i 2.23904 + 0.973146i
\(507\) 16.4721 + 15.0116i 0.731551 + 0.666687i
\(508\) 8.72452 + 23.3126i 0.387088 + 1.03433i
\(509\) −1.39861 + 21.3387i −0.0619923 + 0.945820i 0.847684 + 0.530502i \(0.177997\pi\)
−0.909676 + 0.415318i \(0.863670\pi\)
\(510\) −1.86591 + 1.51990i −0.0826237 + 0.0673021i
\(511\) 14.1423 + 8.16504i 0.625617 + 0.361200i
\(512\) −22.6087 + 0.920152i −0.999173 + 0.0406654i
\(513\) 1.72867 30.1456i 0.0763226 1.33096i
\(514\) −25.9187 30.6067i −1.14322 1.35000i
\(515\) 3.50161 + 7.10056i 0.154299 + 0.312888i
\(516\) −2.15010 0.401452i −0.0946531 0.0176729i
\(517\) 56.0719 19.0339i 2.46604 0.837108i
\(518\) 19.6421 + 26.5360i 0.863023 + 1.16593i
\(519\) 5.98279 4.41186i 0.262615 0.193659i
\(520\) −0.465318 34.3163i −0.0204055 1.50487i
\(521\) −6.97296 + 2.88830i −0.305491 + 0.126539i −0.530163 0.847896i \(-0.677869\pi\)
0.224671 + 0.974435i \(0.427869\pi\)
\(522\) −21.0432 13.7593i −0.921035 0.602227i
\(523\) −17.8240 26.6754i −0.779387 1.16643i −0.982314 0.187241i \(-0.940045\pi\)
0.202927 0.979194i \(-0.434955\pi\)
\(524\) −30.1202 + 9.07543i −1.31581 + 0.396462i
\(525\) 2.24694 + 2.66304i 0.0980645 + 0.116225i
\(526\) 10.0868 11.1082i 0.439807 0.484342i
\(527\) −0.233716 + 0.872238i −0.0101808 + 0.0379953i
\(528\) −31.6503 + 5.54768i −1.37740 + 0.241432i
\(529\) 12.1910 + 45.4974i 0.530043 + 1.97815i
\(530\) −28.3184 14.5793i −1.23007 0.633286i
\(531\) −12.8470 15.8296i −0.557512 0.686948i
\(532\) −31.6106 11.9649i −1.37049 0.518744i
\(533\) −2.87805 43.9106i −0.124662 1.90198i
\(534\) −14.5018 + 13.4830i −0.627555 + 0.583465i
\(535\) −0.709805 + 0.925036i −0.0306876 + 0.0399928i
\(536\) 24.2716 12.3813i 1.04837 0.534792i
\(537\) 2.39165 + 1.04459i 0.103207 + 0.0450773i
\(538\) −1.55052 3.93442i −0.0668477 0.169625i
\(539\) 6.63026 + 1.31884i 0.285585 + 0.0568065i
\(540\) 10.3744 + 22.5184i 0.446444 + 0.969037i
\(541\) 2.73360 + 1.82653i 0.117527 + 0.0785287i 0.612944 0.790126i \(-0.289985\pi\)
−0.495418 + 0.868655i \(0.664985\pi\)
\(542\) 8.95201 + 6.20816i 0.384522 + 0.266663i
\(543\) −0.00408594 + 0.213967i −0.000175344 + 0.00918221i
\(544\) 0.255425 + 2.31555i 0.0109513 + 0.0992782i
\(545\) −16.3600 28.3363i −0.700784 1.21379i
\(546\) −21.2111 + 29.3721i −0.907752 + 1.25701i
\(547\) −14.1595 28.7125i −0.605415 1.22766i −0.956614 0.291359i \(-0.905893\pi\)
0.351199 0.936301i \(-0.385774\pi\)
\(548\) −3.58278 15.4966i −0.153049 0.661983i
\(549\) 17.7288 18.7228i 0.756646 0.799069i
\(550\) −2.82386 + 3.55121i −0.120410 + 0.151424i
\(551\) 27.3205 20.9638i 1.16389 0.893086i
\(552\) −30.6886 27.2152i −1.30619 1.15835i
\(553\) −15.7802 12.1086i −0.671044 0.514910i
\(554\) −5.91360 23.7024i −0.251245 1.00702i
\(555\) 29.4642 + 15.2363i 1.25069 + 0.646744i
\(556\) 1.03965 10.3572i 0.0440909 0.439244i
\(557\) 0.907617 + 4.56290i 0.0384570 + 0.193336i 0.995238 0.0974723i \(-0.0310757\pi\)
−0.956781 + 0.290809i \(0.906076\pi\)
\(558\) 8.10258 + 4.57098i 0.343010 + 0.193505i
\(559\) −2.27074 2.27074i −0.0960422 0.0960422i
\(560\) 27.5286 3.51957i 1.16330 0.148729i
\(561\) 0.795063 + 3.21126i 0.0335676 + 0.135579i
\(562\) −22.0128 + 24.2419i −0.928555 + 1.02258i
\(563\) 9.31737 8.17112i 0.392681 0.344372i −0.440126 0.897936i \(-0.645066\pi\)
0.832806 + 0.553565i \(0.186733\pi\)
\(564\) −44.2242 + 0.520192i −1.86217 + 0.0219041i
\(565\) −0.242927 3.70636i −0.0102200 0.155928i
\(566\) 14.3474 + 25.8739i 0.603067 + 1.08756i
\(567\) 5.38639 25.6135i 0.226207 1.07566i
\(568\) −14.0894 + 2.04961i −0.591178 + 0.0859998i
\(569\) −27.1826 + 20.8579i −1.13955 + 0.874410i −0.993383 0.114849i \(-0.963362\pi\)
−0.146171 + 0.989259i \(0.546695\pi\)
\(570\) −33.8072 + 3.20463i −1.41603 + 0.134227i
\(571\) 10.4879 + 30.8964i 0.438905 + 1.29297i 0.911357 + 0.411617i \(0.135036\pi\)
−0.472452 + 0.881356i \(0.656631\pi\)
\(572\) −42.9354 19.5506i −1.79522 0.817452i
\(573\) 0.724636 + 1.54300i 0.0302721 + 0.0644599i
\(574\) 35.0160 6.33757i 1.46154 0.264525i
\(575\) −5.79164 −0.241528
\(576\) 23.7585 + 3.39583i 0.989939 + 0.141493i
\(577\) −46.1278 −1.92032 −0.960162 0.279442i \(-0.909850\pi\)
−0.960162 + 0.279442i \(0.909850\pi\)
\(578\) −23.4213 + 4.23904i −0.974196 + 0.176321i
\(579\) 9.90325 + 0.839257i 0.411565 + 0.0348783i
\(580\) −11.7179 + 25.7338i −0.486558 + 1.06854i
\(581\) −10.4293 30.7236i −0.432679 1.27463i
\(582\) −20.3409 28.6066i −0.843157 1.18578i
\(583\) −34.7362 + 26.6540i −1.43863 + 1.10390i
\(584\) 9.49674 12.7301i 0.392978 0.526777i
\(585\) −6.12570 + 35.8821i −0.253266 + 1.48354i
\(586\) −6.33217 11.4193i −0.261580 0.471728i
\(587\) 1.88808 + 28.8065i 0.0779293 + 1.18897i 0.840407 + 0.541956i \(0.182316\pi\)
−0.762477 + 0.647015i \(0.776017\pi\)
\(588\) −4.40209 2.47297i −0.181539 0.101984i
\(589\) −9.58001 + 8.40145i −0.394738 + 0.346176i
\(590\) −15.4133 + 16.9741i −0.634557 + 0.698813i
\(591\) −3.44908 + 3.31982i −0.141876 + 0.136559i
\(592\) 27.8672 15.9506i 1.14534 0.655564i
\(593\) 4.07635 + 4.07635i 0.167395 + 0.167395i 0.785834 0.618438i \(-0.212234\pi\)
−0.618438 + 0.785834i \(0.712234\pi\)
\(594\) 34.0806 + 0.311113i 1.39834 + 0.0127651i
\(595\) −0.557424 2.80236i −0.0228521 0.114885i
\(596\) −3.89408 0.390884i −0.159508 0.0160112i
\(597\) −16.2210 + 10.3961i −0.663883 + 0.425486i
\(598\) −14.5781 58.4307i −0.596144 2.38941i
\(599\) 26.4543 + 20.2991i 1.08089 + 0.829399i 0.986109 0.166099i \(-0.0531172\pi\)
0.0947843 + 0.995498i \(0.469784\pi\)
\(600\) 2.82803 1.86707i 0.115454 0.0762228i
\(601\) −31.3623 + 24.0652i −1.27930 + 0.981639i −0.279527 + 0.960138i \(0.590178\pi\)
−0.999769 + 0.0215009i \(0.993156\pi\)
\(602\) 1.61626 2.03257i 0.0658739 0.0828415i
\(603\) −27.7009 + 8.23802i −1.12807 + 0.335478i
\(604\) −16.6610 + 3.85199i −0.677928 + 0.156735i
\(605\) 11.0908 + 22.4900i 0.450906 + 0.914348i
\(606\) 11.2887 + 25.1596i 0.458571 + 1.02204i
\(607\) 10.7975 + 18.7018i 0.438257 + 0.759084i 0.997555 0.0698829i \(-0.0222626\pi\)
−0.559298 + 0.828967i \(0.688929\pi\)
\(608\) −15.1559 + 29.1699i −0.614654 + 1.18300i
\(609\) 26.1315 14.4289i 1.05890 0.584690i
\(610\) −23.8293 16.5254i −0.964819 0.669095i
\(611\) −53.9906 36.0754i −2.18423 1.45945i
\(612\) 0.179678 2.46436i 0.00726304 0.0996160i
\(613\) 15.0591 + 2.99544i 0.608231 + 0.120985i 0.489590 0.871953i \(-0.337146\pi\)
0.118640 + 0.992937i \(0.462146\pi\)
\(614\) −2.13982 5.42976i −0.0863561 0.219127i
\(615\) 28.7750 21.2194i 1.16032 0.855649i
\(616\) 11.7720 36.2885i 0.474308 1.46210i
\(617\) −5.25001 + 6.84194i −0.211357 + 0.275446i −0.886986 0.461795i \(-0.847205\pi\)
0.675629 + 0.737242i \(0.263872\pi\)
\(618\) −7.76987 2.38810i −0.312550 0.0960636i
\(619\) 1.35642 + 20.6950i 0.0545192 + 0.831803i 0.934314 + 0.356450i \(0.116013\pi\)
−0.879795 + 0.475353i \(0.842320\pi\)
\(620\) 3.70374 9.78508i 0.148746 0.392978i
\(621\) 26.7658 + 34.2981i 1.07407 + 1.37633i
\(622\) 40.4757 + 20.8384i 1.62293 + 0.835543i
\(623\) −6.08468 22.7083i −0.243778 0.909791i
\(624\) 25.9549 + 23.8318i 1.03903 + 0.954037i
\(625\) −7.24180 + 27.0268i −0.289672 + 1.08107i
\(626\) 12.3699 13.6225i 0.494400 0.544463i
\(627\) −15.8465 + 43.9094i −0.632847 + 1.75357i
\(628\) 4.59944 + 15.2650i 0.183538 + 0.609138i
\(629\) −1.83660 2.74866i −0.0732299 0.109596i
\(630\) −29.3909 1.63241i −1.17096 0.0650369i
\(631\) −25.9712 + 10.7576i −1.03390 + 0.428254i −0.834117 0.551587i \(-0.814022\pi\)
−0.199779 + 0.979841i \(0.564022\pi\)
\(632\) −13.4923 + 13.8632i −0.536694 + 0.551448i
\(633\) 0.938861 + 8.36222i 0.0373164 + 0.332368i
\(634\) 10.6000 + 14.3204i 0.420981 + 0.568737i
\(635\) −28.1166 + 9.54431i −1.11577 + 0.378754i
\(636\) 30.8410 10.8753i 1.22292 0.431233i
\(637\) −3.27874 6.64862i −0.129908 0.263428i
\(638\) 25.1193 + 29.6627i 0.994482 + 1.17436i
\(639\) 15.0904 + 0.576544i 0.596965 + 0.0228077i
\(640\) −0.265072 26.9902i −0.0104779 1.06688i
\(641\) 2.38780 + 1.37860i 0.0943124 + 0.0544513i 0.546414 0.837515i \(-0.315992\pi\)
−0.452102 + 0.891966i \(0.649326\pi\)
\(642\) −0.190678 1.18186i −0.00752545 0.0466443i
\(643\) 0.763725 11.6522i 0.0301184 0.459517i −0.955988 0.293404i \(-0.905212\pi\)
0.986107 0.166113i \(-0.0531216\pi\)
\(644\) 45.6096 17.0690i 1.79727 0.672612i
\(645\) 0.557777 2.54879i 0.0219625 0.100359i
\(646\) 3.10386 + 1.34902i 0.122120 + 0.0530764i
\(647\) −0.924974 + 2.23308i −0.0363645 + 0.0877916i −0.941018 0.338355i \(-0.890129\pi\)
0.904654 + 0.426147i \(0.140129\pi\)
\(648\) −24.1264 8.11900i −0.947773 0.318945i
\(649\) 12.0614 + 29.1187i 0.473450 + 1.14301i
\(650\) 4.97460 + 0.0860542i 0.195120 + 0.00337532i
\(651\) −9.29915 + 5.95987i −0.364463 + 0.233586i
\(652\) −1.00340 + 4.26726i −0.0392961 + 0.167119i
\(653\) −13.1526 14.9976i −0.514700 0.586902i 0.434857 0.900500i \(-0.356799\pi\)
−0.949556 + 0.313597i \(0.898466\pi\)
\(654\) 32.6886 + 7.74836i 1.27822 + 0.302985i
\(655\) −9.71217 36.2463i −0.379486 1.41626i
\(656\) −2.13442 34.5430i −0.0833350 1.34868i
\(657\) −12.3577 + 11.4482i −0.482121 + 0.446637i
\(658\) 24.0354 46.6855i 0.936997 1.81999i
\(659\) 8.18268 24.1054i 0.318752 0.939013i −0.662962 0.748653i \(-0.730701\pi\)
0.981714 0.190361i \(-0.0609657\pi\)
\(660\) −5.44972 37.9408i −0.212130 1.47684i
\(661\) −10.5160 + 21.3243i −0.409024 + 0.829419i 0.590721 + 0.806876i \(0.298843\pi\)
−0.999746 + 0.0225439i \(0.992823\pi\)
\(662\) −8.07124 32.3504i −0.313698 1.25733i
\(663\) 2.26299 2.83540i 0.0878871 0.110118i
\(664\) −30.8630 + 6.57526i −1.19772 + 0.255170i
\(665\) 15.4290 37.2490i 0.598312 1.44445i
\(666\) −32.1389 + 11.2681i −1.24536 + 0.436630i
\(667\) −9.67988 + 48.6640i −0.374806 + 1.88428i
\(668\) 3.83149 + 7.20056i 0.148245 + 0.278598i
\(669\) 13.9442 + 29.6921i 0.539114 + 1.14796i
\(670\) 13.8690 + 29.3946i 0.535807 + 1.13561i
\(671\) −34.5223 + 19.9315i −1.33272 + 0.769446i
\(672\) −16.7683 + 23.0380i −0.646853 + 0.888710i
\(673\) 10.0080 + 5.77814i 0.385781 + 0.222731i 0.680331 0.732905i \(-0.261836\pi\)
−0.294549 + 0.955636i \(0.595170\pi\)
\(674\) 1.96893 23.7402i 0.0758402 0.914440i
\(675\) −3.30937 + 1.40257i −0.127378 + 0.0539848i
\(676\) 5.79672 + 25.0726i 0.222951 + 0.964330i
\(677\) −8.39609 7.36317i −0.322688 0.282990i 0.482641 0.875818i \(-0.339678\pi\)
−0.805328 + 0.592829i \(0.798011\pi\)
\(678\) 2.93904 + 2.43009i 0.112873 + 0.0933271i
\(679\) 41.3178 5.43959i 1.58563 0.208752i
\(680\) −2.77022 + 0.219328i −0.106233 + 0.00841086i
\(681\) −1.44575 + 9.56639i −0.0554014 + 0.366585i
\(682\) −9.99244 10.3442i −0.382630 0.396101i
\(683\) −19.3997 29.0338i −0.742311 1.11095i −0.989857 0.142070i \(-0.954624\pi\)
0.247546 0.968876i \(-0.420376\pi\)
\(684\) 21.4275 27.5049i 0.819300 1.05168i
\(685\) 18.6085 3.70146i 0.710993 0.141425i
\(686\) −19.1695 + 12.3345i −0.731895 + 0.470932i
\(687\) −16.8913 4.87351i −0.644445 0.185936i
\(688\) −1.77920 1.79255i −0.0678315 0.0683405i
\(689\) 46.3771 + 12.4267i 1.76683 + 0.473420i
\(690\) 33.5780 35.5885i 1.27829 1.35483i
\(691\) −14.0794 + 41.4765i −0.535604 + 1.57784i 0.255918 + 0.966699i \(0.417622\pi\)
−0.791522 + 0.611141i \(0.790711\pi\)
\(692\) 8.57949 0.264812i 0.326143 0.0100666i
\(693\) −19.2694 + 35.5816i −0.731984 + 1.35163i
\(694\) 1.59505 0.884475i 0.0605472 0.0335742i
\(695\) 12.3107 + 1.62073i 0.466970 + 0.0614778i
\(696\) −10.9613 26.8829i −0.415489 1.01900i
\(697\) −3.53265 + 0.465083i −0.133809 + 0.0176163i
\(698\) 15.0582 + 20.3433i 0.569960 + 0.770005i
\(699\) 11.0175 + 2.41108i 0.416722 + 0.0911953i
\(700\) 0.386873 + 4.00471i 0.0146224 + 0.151364i
\(701\) 29.1875 + 19.5025i 1.10240 + 0.736598i 0.967148 0.254214i \(-0.0818166\pi\)
0.135249 + 0.990812i \(0.456817\pi\)
\(702\) −22.4802 29.8572i −0.848462 1.12689i
\(703\) 46.6471i 1.75933i
\(704\) −33.7101 15.5023i −1.27050 0.584263i
\(705\) 1.00727 52.7476i 0.0379361 1.98659i
\(706\) −14.3507 5.14989i −0.540095 0.193819i
\(707\) −32.6699 2.14130i −1.22868 0.0805318i
\(708\) −1.81582 23.4705i −0.0682425 0.882077i
\(709\) 7.80631 + 6.84595i 0.293172 + 0.257105i 0.793279 0.608859i \(-0.208372\pi\)
−0.500106 + 0.865964i \(0.666706\pi\)
\(710\) −1.92525 16.8742i −0.0722532 0.633278i
\(711\) 16.7434 11.8603i 0.627927 0.444795i
\(712\) −22.6265 + 3.29151i −0.847963 + 0.123355i
\(713\) 2.39635 18.2021i 0.0897441 0.681674i
\(714\) 2.48554 + 1.55827i 0.0930189 + 0.0583168i
\(715\) 24.8902 50.4724i 0.930842 1.88756i
\(716\) 1.58658 + 2.56209i 0.0592933 + 0.0957499i
\(717\) 24.6763 20.8206i 0.921553 0.777560i
\(718\) 4.57344 21.0799i 0.170679 0.786694i
\(719\) −20.0508 20.0508i −0.747768 0.747768i 0.226292 0.974060i \(-0.427340\pi\)
−0.974060 + 0.226292i \(0.927340\pi\)
\(720\) −4.92319 + 28.2023i −0.183477 + 1.05104i
\(721\) 6.82413 6.82413i 0.254144 0.254144i
\(722\) 11.3013 + 17.5637i 0.420589 + 0.653654i
\(723\) 6.94596 19.2468i 0.258323 0.715795i
\(724\) −0.144313 + 0.200596i −0.00536335 + 0.00745508i
\(725\) −3.67649 1.81305i −0.136542 0.0673348i
\(726\) −24.6099 7.56397i −0.913360 0.280725i
\(727\) −12.4279 1.63617i −0.460926 0.0606821i −0.103512 0.994628i \(-0.533008\pi\)
−0.357414 + 0.933946i \(0.616341\pi\)
\(728\) −39.4289 + 13.9833i −1.46133 + 0.518256i
\(729\) 23.6001 + 13.1162i 0.874078 + 0.485786i
\(730\) 14.8286 + 11.7914i 0.548832 + 0.436421i
\(731\) −0.171446 + 0.195497i −0.00634117 + 0.00723072i
\(732\) 29.1312 6.15161i 1.07672 0.227370i
\(733\) 0.923801 14.0945i 0.0341214 0.520591i −0.946251 0.323434i \(-0.895162\pi\)
0.980372 0.197157i \(-0.0631709\pi\)
\(734\) 12.7216 + 26.9628i 0.469564 + 0.995215i
\(735\) 3.11053 5.15760i 0.114733 0.190241i
\(736\) −11.2935 45.9971i −0.416285 1.69548i
\(737\) 44.6791 1.64578
\(738\) −4.42848 + 36.4402i −0.163015 + 1.34138i
\(739\) −27.9709 + 41.8614i −1.02893 + 1.53990i −0.200583 + 0.979677i \(0.564284\pi\)
−0.828343 + 0.560221i \(0.810716\pi\)
\(740\) 17.9923 + 33.8131i 0.661410 + 1.24299i
\(741\) 48.7790 15.5261i 1.79194 0.570365i
\(742\) −5.73287 + 38.4006i −0.210460 + 1.40973i
\(743\) 1.03141 + 7.83435i 0.0378388 + 0.287414i 0.999894 + 0.0145594i \(0.00463456\pi\)
−0.962055 + 0.272855i \(0.912032\pi\)
\(744\) 4.69774 + 9.66051i 0.172228 + 0.354171i
\(745\) 0.609357 4.62853i 0.0223251 0.169576i
\(746\) −5.85714 + 20.4383i −0.214445 + 0.748301i
\(747\) 33.4574 0.912350i 1.22414 0.0333812i
\(748\) −1.35227 + 3.57264i −0.0494441 + 0.130629i
\(749\) 1.34589 + 0.456869i 0.0491779 + 0.0166936i
\(750\) −13.2166 21.4288i −0.482602 0.782469i
\(751\) 6.86021 25.6026i 0.250333 0.934254i −0.720295 0.693668i \(-0.755994\pi\)
0.970628 0.240586i \(-0.0773397\pi\)
\(752\) −42.3562 28.5311i −1.54457 1.04042i
\(753\) 23.1435 + 24.0446i 0.843397 + 0.876236i
\(754\) 9.03738 41.6550i 0.329122 1.51699i
\(755\) −3.97958 20.0067i −0.144832 0.728118i
\(756\) 21.9279 20.7986i 0.797512 0.756438i
\(757\) −36.0676 + 24.0996i −1.31090 + 0.875916i −0.997285 0.0736341i \(-0.976540\pi\)
−0.313616 + 0.949550i \(0.601540\pi\)
\(758\) 0.388011 22.4301i 0.0140932 0.814697i
\(759\) −24.5481 62.6200i −0.891039 2.27296i
\(760\) −34.2215 19.1439i −1.24134 0.694421i
\(761\) 2.79975 + 21.2662i 0.101491 + 0.770898i 0.964196 + 0.265191i \(0.0854350\pi\)
−0.862705 + 0.505707i \(0.831232\pi\)
\(762\) 12.6834 27.7222i 0.459473 1.00427i
\(763\) −26.2982 + 29.9874i −0.952059 + 1.08562i
\(764\) −0.324274 + 1.94151i −0.0117318 + 0.0702414i
\(765\) 2.93165 + 0.304921i 0.105994 + 0.0110244i
\(766\) 12.9382 10.9565i 0.467477 0.395874i
\(767\) 17.2811 29.9317i 0.623984 1.08077i
\(768\) 20.3428 + 18.8194i 0.734058 + 0.679087i
\(769\) −5.45975 9.45656i −0.196884 0.341012i 0.750633 0.660720i \(-0.229749\pi\)
−0.947516 + 0.319707i \(0.896415\pi\)
\(770\) 42.8335 + 15.3712i 1.54361 + 0.553941i
\(771\) −4.14788 + 48.9450i −0.149382 + 1.76271i
\(772\) 8.85766 + 7.29704i 0.318794 + 0.262626i