Properties

Label 576.2.bl.a.275.45
Level $576$
Weight $2$
Character 576.275
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 275.45
Character \(\chi\) \(=\) 576.275
Dual form 576.2.bl.a.155.45

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{7}{16}\right)\)

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 0.629456 + 0.777036i \(0.283278\pi\)
−0.972411 + 0.233275i \(0.925056\pi\)
\(6\) 2.22743 1.01909i 0.909345 0.416043i
\(7\) −2.30722 1.77039i −0.872048 0.669146i 0.0725539 0.997364i \(-0.476885\pi\)
−0.944602 + 0.328219i \(0.893552\pi\)
\(8\) 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 −0.667665 0.744462i \(-0.732706\pi\)
0.759124 0.650946i \(-0.225627\pi\)
\(12\) 0.857158 + 3.35638i 0.247440 + 0.968903i
\(13\) 3.82383 + 3.35341i 1.06054 + 0.930067i 0.997688 0.0679557i \(-0.0216477\pi\)
0.0628501 + 0.998023i \(0.479981\pi\)
\(14\) 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 −0.741538 0.670911i \(-0.765903\pi\)
0.670911 + 0.741538i \(0.265903\pi\)
\(18\) −3.65291 2.15783i −0.861000 0.508605i
\(19\) −1.13368 + 5.69939i −0.260084 + 1.30753i 0.601075 + 0.799193i \(0.294739\pi\)
−0.861158 + 0.508337i \(0.830261\pi\)
\(20\) 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 0.395534 0.918451i \(-0.370560\pi\)
0.989528 0.144344i \(-0.0461071\pi\)
\(24\) −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 −0.505547 0.862799i \(-0.668709\pi\)
0.992262 0.124161i \(-0.0396240\pi\)
\(30\) 0.594111 + 5.81355i 0.108469 + 1.06140i
\(31\) −1.09637 + 1.89897i −0.196914 + 0.341064i −0.947526 0.319678i \(-0.896425\pi\)
0.750613 + 0.660743i \(0.229758\pi\)
\(32\) −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 0.500570 0.865696i \(-0.333124\pi\)
0.793754 + 0.608239i \(0.208124\pi\)
\(38\) −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 0.996191 + 0.0872027i \(0.0277928\pi\)
−0.173602 + 0.984816i \(0.555541\pi\)
\(42\) −6.94337 1.59215i −1.07139 0.245675i
\(43\) −0.0412961 + 0.630056i −0.00629759 + 0.0960826i −0.999851 0.0172860i \(-0.994497\pi\)
0.993553 + 0.113369i \(0.0361641\pi\)
\(44\) −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 0.111208 + 0.993797i \(0.464528\pi\)
−0.593207 + 0.805050i \(0.702139\pi\)
\(48\) 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 −0.272811 0.962068i \(-0.587953\pi\)
0.993235 0.116123i \(-0.0370466\pi\)
\(54\) 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 0.707160 0.707053i \(-0.249976\pi\)
0.130601 + 0.991435i \(0.458309\pi\)
\(60\) −8.23980 0.637478i −1.06375 0.0822981i
\(61\) 3.80143 7.70854i 0.486723 0.986977i −0.505537 0.862805i \(-0.668706\pi\)
0.992261 0.124172i \(-0.0396276\pi\)
\(62\) −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 0.845290 + 0.534308i \(0.179428\pi\)
−0.768317 + 0.640069i \(0.778906\pi\)
\(68\) 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 0.767394 0.641176i \(-0.221553\pi\)
−0.996009 + 0.0892495i \(0.971553\pi\)
\(72\) 5.32972 + 6.60258i 0.628114 + 0.778121i
\(73\) −2.14885 + 5.18777i −0.251503 + 0.607183i −0.998326 0.0578405i \(-0.981579\pi\)
0.746822 + 0.665024i \(0.231579\pi\)
\(74\) 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 −0.791988 0.610537i \(-0.790954\pi\)
0.991150 0.132746i \(-0.0423796\pi\)
\(80\) −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 −0.945485 0.325665i \(-0.894412\pi\)
0.551852 0.833942i \(-0.313921\pi\)
\(84\) 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 −0.998747 0.0500500i \(-0.984062\pi\)
0.670830 0.741611i \(-0.265938\pi\)
\(90\) 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 −0.973085 0.230444i \(-0.925982\pi\)
−0.286972 + 0.957939i \(0.592649\pi\)
\(98\) −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 −0.125113 0.992142i \(-0.539929\pi\)
0.967324 + 0.253544i \(0.0815961\pi\)
\(102\) −0.351866 + 0.945385i −0.0348400 + 0.0936070i
\(103\) −3.29009 0.433149i −0.324182 0.0426794i −0.0333212 0.999445i \(-0.510608\pi\)
−0.290861 + 0.956765i \(0.593942\pi\)
\(104\) 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 −0.844362 0.535773i \(-0.820020\pi\)
0.818113 + 0.575058i \(0.195020\pi\)
\(108\) −10.3356 1.08375i −0.994548 0.104284i
\(109\) 13.4513 + 2.67563i 1.28840 + 0.256279i 0.791308 0.611418i \(-0.209401\pi\)
0.497093 + 0.867697i \(0.334401\pi\)
\(110\) −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 −0.187390 0.982286i \(-0.560003\pi\)
0.328859 + 0.944379i \(0.393336\pi\)
\(114\) 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 \(0.186209\pi\)
−0.833716 + 0.552193i \(0.813791\pi\)
\(128\) 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 0.638130 0.769928i \(-0.279708\pi\)
0.733167 + 0.680049i \(0.238041\pi\)
\(132\) 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 −0.976822 0.214053i \(-0.931333\pi\)
0.888137 0.459579i \(-0.152000\pi\)
\(138\) 9.60145 18.1225i 0.817330 1.54269i
\(139\) −2.30195 4.66790i −0.195249 0.395926i 0.777128 0.629343i \(-0.216676\pi\)
−0.972377 + 0.233417i \(0.925009\pi\)
\(140\) −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 −0.368977 0.929439i \(-0.620292\pi\)
0.512754 + 0.858535i \(0.328625\pi\)
\(150\) −1.65152 0.378702i −0.134846 0.0309209i
\(151\) 8.47711 1.11603i 0.689858 0.0908215i 0.222557 0.974920i \(-0.428560\pi\)
0.467301 + 0.884098i \(0.345226\pi\)
\(152\) 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 0.966834 + 0.255407i \(0.0822095\pi\)
−0.925225 + 0.379419i \(0.876124\pi\)
\(158\) 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 0.876090 0.482148i \(-0.160143\pi\)
−0.780712 + 0.624892i \(0.785143\pi\)
\(164\) −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 0.958428 + 0.285333i \(0.0921043\pi\)
−0.999620 + 0.0275512i \(0.991229\pi\)
\(168\) 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 −0.471624 0.881800i \(-0.656332\pi\)
0.162642 + 0.986685i \(0.447999\pi\)
\(174\) 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 −0.990215 0.139552i \(-0.955434\pi\)
0.968243 + 0.250010i \(0.0804339\pi\)
\(180\) 7.24790 + 12.3438i 0.540226 + 0.920055i
\(181\) 0.102733 + 0.0686443i 0.00763612 + 0.00510229i 0.559382 0.828910i \(-0.311038\pi\)
−0.551746 + 0.834012i \(0.686038\pi\)
\(182\) 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 0.883280 0.468846i \(-0.155330\pi\)
−0.847673 + 0.530520i \(0.821997\pi\)
\(192\) −6.22805 + 12.3779i −0.449471 + 0.893295i
\(193\) −2.86907 + 4.96937i −0.206520 + 0.357703i −0.950616 0.310369i \(-0.899547\pi\)
0.744096 + 0.668073i \(0.232881\pi\)
\(194\) −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 −0.0975745 0.995228i \(-0.531108\pi\)
0.290710 + 0.956811i \(0.406108\pi\)
\(198\) −11.0946 + 16.2513i −0.788459 + 1.15493i
\(199\) 10.2768 4.25681i 0.728506 0.301757i 0.0125681 0.999921i \(-0.495999\pi\)
0.715938 + 0.698164i \(0.245999\pi\)
\(200\) −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 0.775790 0.630991i \(-0.217352\pi\)
−0.524332 + 0.851514i \(0.675685\pi\)
\(212\) −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 0.986700 + 0.162555i \(0.0519734\pi\)
−0.352573 + 0.935784i \(0.614693\pi\)
\(224\) 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 0.600880 0.799340i \(-0.294817\pi\)
−0.268366 + 0.963317i \(0.586484\pi\)
\(228\) −20.1011 + 1.08022i −1.33122 + 0.0715392i
\(229\) 3.26261 9.61135i 0.215600 0.635136i −0.784292 0.620392i \(-0.786973\pi\)
0.999891 0.0147438i \(-0.00469326\pi\)
\(230\) −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 −0.984243 0.176821i \(-0.943418\pi\)
0.820996 + 0.570933i \(0.193418\pi\)
\(234\) −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 −0.788832 0.614609i \(-0.789314\pi\)
−0.375844 + 0.926683i \(0.622647\pi\)
\(240\) 14.9873 + 6.97018i 0.967427 + 0.449923i
\(241\) −11.4111 3.05759i −0.735052 0.196957i −0.128174 0.991752i \(-0.540912\pi\)
−0.606878 + 0.794795i \(0.707578\pi\)
\(242\) 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 0.897245 + 0.441533i \(0.145565\pi\)
−0.659979 + 0.751284i \(0.729435\pi\)
\(252\) −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 0.999268 + 0.0382465i \(0.0121772\pi\)
0.532757 + 0.846269i \(0.321156\pi\)
\(258\) 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 −0.550571 0.834788i \(-0.685590\pi\)
0.948842 + 0.315752i \(0.102257\pi\)
\(264\) 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 0.283687 0.958917i \(-0.408442\pi\)
−0.104869 + 0.994486i \(0.533442\pi\)
\(270\) −16.9748 4.38271i −1.03306 0.266724i
\(271\) −5.44701 5.44701i −0.330882 0.330882i 0.522039 0.852922i \(-0.325171\pi\)
−0.852922 + 0.522039i \(0.825171\pi\)
\(272\) −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 0.573739 0.819038i \(-0.305492\pi\)
0.461925 + 0.886919i \(0.347159\pi\)
\(278\) 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 0.153329 + 0.988175i \(0.451001\pi\)
−0.994188 + 0.107654i \(0.965666\pi\)
\(282\) 5.20737 + 30.8368i 0.310094 + 1.83630i
\(283\) −19.8099 6.72457i −1.17758 0.399734i −0.337043 0.941489i \(-0.609427\pi\)
−0.840536 + 0.541755i \(0.817760\pi\)
\(284\) 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 0.564915 0.825149i \(-0.308909\pi\)
−0.0541416 + 0.998533i \(0.517242\pi\)
\(294\) 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 0.309235 0.950986i \(-0.399927\pi\)
−0.0782309 + 0.996935i \(0.524927\pi\)
\(308\) 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 −0.879813 0.475319i \(-0.842333\pi\)
−0.231410 0.972856i \(-0.574334\pi\)
\(312\) −19.8508 15.0583i −1.12383 0.852506i
\(313\) 7.92076 10.3225i 0.447708 0.583464i −0.513914 0.857841i \(-0.671805\pi\)
0.961622 + 0.274378i \(0.0884718\pi\)
\(314\) −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 0.0963724 0.995345i \(-0.469276\pi\)
−0.730993 + 0.682385i \(0.760943\pi\)
\(318\) 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 0.696368 0.717685i \(-0.254798\pi\)
0.596734 + 0.802439i \(0.296465\pi\)
\(332\) −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 0.213185 0.977012i \(-0.431616\pi\)
0.673129 + 0.739525i \(0.264950\pi\)
\(338\) −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 −0.935236 0.354026i \(-0.884812\pi\)
0.957490 + 0.288467i \(0.0931457\pi\)
\(348\) 20.0856 + 4.24146i 1.07670 + 0.227366i
\(349\) −16.0512 7.91560i −0.859203 0.423712i −0.0413540 0.999145i \(-0.513167\pi\)
−0.817849 + 0.575432i \(0.804834\pi\)
\(350\) −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 0.973070 0.230508i \(-0.0740387\pi\)
−0.686161 + 0.727450i \(0.740705\pi\)
\(354\) 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 0.0215434 0.999768i \(-0.493142\pi\)
0.722176 + 0.691709i \(0.243142\pi\)
\(360\) −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 −0.315346 0.948977i \(-0.602121\pi\)
−0.747586 + 0.664165i \(0.768787\pi\)
\(368\) 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 −0.756486 0.654009i \(-0.773086\pi\)
0.0583409 + 0.998297i \(0.481419\pi\)
\(374\) −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 0.221416 0.975180i \(-0.428932\pi\)
0.577746 + 0.816216i \(0.303932\pi\)
\(380\) 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 −0.671259 0.741223i \(-0.734246\pi\)
0.977547 + 0.210716i \(0.0675794\pi\)
\(384\) −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 0.585900 0.810383i \(-0.300741\pi\)
−0.879925 + 0.475112i \(0.842408\pi\)
\(390\) −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 −0.850389 0.526154i \(-0.823633\pi\)
0.987008 0.160673i \(-0.0513666\pi\)
\(398\) 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 0.880776 0.473532i \(-0.157021\pi\)
−0.999541 + 0.0302971i \(0.990355\pi\)
\(402\) 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 −0.997108 0.0759969i \(-0.975786\pi\)
0.982802 + 0.184663i \(0.0591194\pi\)
\(410\) −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 −0.976757 0.214347i \(-0.931238\pi\)
0.940423 0.340006i \(-0.110429\pi\)
\(420\) 17.8825 + 16.0585i 0.872575 + 0.783574i
\(421\) 17.2867 + 19.7117i 0.842501 + 0.960688i 0.999638 0.0268883i \(-0.00855986\pi\)
−0.157137 + 0.987577i \(0.550227\pi\)
\(422\) −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 0.930334 0.366713i \(-0.119517\pi\)
−0.366713 + 0.930334i \(0.619517\pi\)
\(432\) 18.6002 + 9.27529i 0.894904 + 0.446258i
\(433\) 4.81140 4.81140i 0.231221 0.231221i −0.581981 0.813202i \(-0.697722\pi\)
0.813202 + 0.581981i \(0.197722\pi\)
\(434\) 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 0.989402 0.145203i \(-0.0463836\pi\)
−0.993270 + 0.115820i \(0.963050\pi\)
\(440\) 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 −0.978025 0.208486i \(-0.933146\pi\)
0.0790443 + 0.996871i \(0.474813\pi\)
\(444\) 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 \(-0.852853\pi\)
0.895039 0.445987i \(-0.147147\pi\)
\(450\) 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 −0.226039 0.974118i \(-0.572578\pi\)
0.0337832 + 0.999429i \(0.489244\pi\)
\(458\) 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 0.969237 0.246128i \(-0.0791584\pi\)
−0.918781 + 0.394768i \(0.870825\pi\)
\(462\) −9.47475 + 31.6513i −0.440805 + 1.47255i
\(463\) −6.78522 + 1.81809i −0.315336 + 0.0844940i −0.413016 0.910724i \(-0.635525\pi\)
0.0976799 + 0.995218i \(0.468858\pi\)
\(464\) 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 −0.582457 0.812861i \(-0.697909\pi\)
−0.849189 + 0.528089i \(0.822909\pi\)
\(468\) 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 −0.283322 0.959025i \(-0.591437\pi\)
0.688879 + 0.724877i \(0.258103\pi\)
\(480\) −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 0.989601 0.143838i \(-0.0459443\pi\)
−0.801462 + 0.598045i \(0.795944\pi\)
\(488\) −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 −0.971358 0.237620i \(-0.923633\pi\)
0.402809 0.915284i \(-0.368034\pi\)
\(492\) −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 −0.999307 0.0372293i \(-0.988147\pi\)
0.167346 + 0.985898i \(0.446480\pi\)
\(500\) 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 −0.863127 0.504987i \(-0.831497\pi\)
0.967403 + 0.253243i \(0.0814971\pi\)
\(504\) −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 −0.909676 0.415318i \(-0.863670\pi\)
0.847684 0.530502i \(-0.177997\pi\)
\(510\) −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 0.224671 0.974435i \(-0.427869\pi\)
−0.530163 + 0.847896i \(0.677869\pi\)
\(522\) −21.0432 + 13.7593i −0.921035 + 0.602227i
\(523\) −17.8240 + 26.6754i −0.779387 + 1.16643i 0.202927 + 0.979194i \(0.434955\pi\)
−0.982314 + 0.187241i \(0.940045\pi\)
\(524\) −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 −0.495418 0.868655i \(-0.664985\pi\)
0.612944 + 0.790126i \(0.289985\pi\)
\(542\) 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 0.351199 + 0.936301i \(0.385774\pi\)
−0.956614 + 0.291359i \(0.905893\pi\)
\(548\) −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 −0.956781 0.290809i \(-0.906076\pi\)
0.995238 + 0.0974723i \(0.0310757\pi\)
\(558\) 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 0.832806 0.553565i \(-0.186733\pi\)
−0.440126 + 0.897936i \(0.645066\pi\)
\(564\) −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 −0.146171 0.989259i \(-0.546695\pi\)
−0.993383 + 0.114849i \(0.963362\pi\)
\(570\) −33.8072 3.20463i −1.41603 0.134227i
\(571\) 10.4879 30.8964i 0.438905 1.29297i −0.472452 0.881356i \(-0.656631\pi\)
0.911357 0.411617i \(-0.135036\pi\)
\(572\) −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 −0.762477 0.647015i \(-0.776017\pi\)
0.840407 0.541956i \(-0.182316\pi\)
\(588\) −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 −0.618438 0.785834i \(-0.712234\pi\)
0.785834 + 0.618438i \(0.212234\pi\)
\(594\) 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 0.0947843 0.995498i \(-0.469784\pi\)
0.986109 + 0.166099i \(0.0531172\pi\)
\(600\) 2.82803 + 1.86707i 0.115454 + 0.0762228i
\(601\) −31.3623 24.0652i −1.27930 0.981639i −0.999769 0.0215009i \(-0.993156\pi\)
−0.279527 0.960138i \(-0.590178\pi\)
\(602\) 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 −0.559298 0.828967i \(-0.688929\pi\)
0.997555 + 0.0698829i \(0.0222626\pi\)
\(608\) −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 0.118640 0.992937i \(-0.462146\pi\)
0.489590 + 0.871953i \(0.337146\pi\)
\(614\) −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 0.675629 0.737242i \(-0.263872\pi\)
−0.886986 + 0.461795i \(0.847205\pi\)
\(618\) −7.76987 + 2.38810i −0.312550 + 0.0960636i
\(619\) 1.35642 20.6950i 0.0545192 0.831803i −0.879795 0.475353i \(-0.842320\pi\)
0.934314 0.356450i \(-0.116013\pi\)
\(620\) 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 −0.199779 0.979841i \(-0.564022\pi\)
−0.834117 + 0.551587i \(0.814022\pi\)
\(632\) −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 −0.452102 0.891966i \(-0.649326\pi\)
0.546414 + 0.837515i \(0.315992\pi\)
\(642\) −0.190678 + 1.18186i −0.00752545 + 0.0466443i
\(643\) 0.763725 + 11.6522i 0.0301184 + 0.459517i 0.986107 + 0.166113i \(0.0531216\pi\)
−0.955988 + 0.293404i \(0.905212\pi\)
\(644\) 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 0.904654 0.426147i \(-0.140129\pi\)
−0.941018 + 0.338355i \(0.890129\pi\)
\(648\) −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 −0.949556 0.313597i \(-0.898466\pi\)
0.434857 + 0.900500i \(0.356799\pi\)
\(654\) 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 0.981714 + 0.190361i \(0.0609657\pi\)
−0.662962 + 0.748653i \(0.730701\pi\)
\(660\) −5.44972 + 37.9408i −0.212130 + 1.47684i
\(661\) −10.5160 21.3243i −0.409024 0.829419i −0.999746 0.0225439i \(-0.992823\pi\)
0.590721 0.806876i \(-0.298843\pi\)
\(662\) −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 −0.294549 0.955636i \(-0.595170\pi\)
0.680331 + 0.732905i \(0.261836\pi\)
\(674\) 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 −0.805328 0.592829i \(-0.798011\pi\)
0.482641 + 0.875818i \(0.339678\pi\)
\(678\) 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 0.247546 + 0.968876i \(0.420376\pi\)
−0.989857 + 0.142070i \(0.954624\pi\)
\(684\) 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 −0.791522 0.611141i \(-0.790711\pi\)
0.255918 0.966699i \(-0.417622\pi\)
\(692\) 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 0.135249 0.990812i \(-0.456817\pi\)
0.967148 + 0.254214i \(0.0818166\pi\)
\(702\) −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 −0.500106 0.865964i \(-0.666706\pi\)
0.793279 + 0.608859i \(0.208372\pi\)
\(710\) −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 −0.974060 0.226292i \(-0.927340\pi\)
0.226292 + 0.974060i \(0.427340\pi\)
\(720\) −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 −0.357414 0.933946i \(-0.616341\pi\)
−0.103512 + 0.994628i \(0.533008\pi\)
\(728\) −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 0.980372 + 0.197157i \(0.0631709\pi\)
−0.946251 + 0.323434i \(0.895162\pi\)
\(734\) 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 −0.828343 0.560221i \(-0.810716\pi\)
−0.200583 0.979677i \(-0.564284\pi\)
\(740\) 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 −0.962055 0.272855i \(-0.912032\pi\)
0.999894 0.0145594i \(-0.00463456\pi\)
\(744\) 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 0.970628 + 0.240586i \(0.0773397\pi\)
−0.720295 + 0.693668i \(0.755994\pi\)
\(752\) −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 −0.313616 0.949550i \(-0.601540\pi\)
−0.997285 + 0.0736341i \(0.976540\pi\)
\(758\) 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 −0.862705 0.505707i \(-0.831232\pi\)
0.964196 0.265191i \(-0.0854350\pi\)
\(762\) 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 −0.947516 0.319707i \(-0.896415\pi\)
0.750633 + 0.660720i \(0.229749\pi\)
\(770\) 42.8335 15.3712i 1.54361 0.553941i