Properties

Label 177.2.e.b.64.5
Level $177$
Weight $2$
Character 177.64
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 64.5
Character \(\chi\) \(=\) 177.64
Dual form 177.2.e.b.130.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.91605 + 0.645591i) q^{2} +(0.856857 + 0.515554i) q^{3} +(1.66226 + 1.26362i) q^{4} +(0.0203200 - 0.0509993i) q^{5} +(1.30894 + 1.54100i) q^{6} +(-3.48406 + 1.61190i) q^{7} +(0.0998732 + 0.147302i) q^{8} +(0.468408 + 0.883512i) q^{9} +O(q^{10})\) \(q+(1.91605 + 0.645591i) q^{2} +(0.856857 + 0.515554i) q^{3} +(1.66226 + 1.26362i) q^{4} +(0.0203200 - 0.0509993i) q^{5} +(1.30894 + 1.54100i) q^{6} +(-3.48406 + 1.61190i) q^{7} +(0.0998732 + 0.147302i) q^{8} +(0.468408 + 0.883512i) q^{9} +(0.0718588 - 0.0845987i) q^{10} +(0.695053 - 2.50335i) q^{11} +(0.772856 + 1.93972i) q^{12} +(2.54501 - 4.80040i) q^{13} +(-7.71625 + 0.839193i) q^{14} +(0.0437042 - 0.0332231i) q^{15} +(-1.02094 - 3.67711i) q^{16} +(0.787366 + 0.364274i) q^{17} +(0.327105 + 1.99525i) q^{18} +(-2.36917 + 0.521495i) q^{19} +(0.0982207 - 0.0590974i) q^{20} +(-3.81636 - 0.415055i) q^{21} +(2.94790 - 4.34782i) q^{22} +(-1.35479 + 8.26386i) q^{23} +(0.00963498 + 0.177707i) q^{24} +(3.62779 + 3.43642i) q^{25} +(7.97546 - 7.55476i) q^{26} +(-0.0541389 + 0.998533i) q^{27} +(-7.82824 - 1.72312i) q^{28} +(-6.21213 + 2.09311i) q^{29} +(0.105188 - 0.0354419i) q^{30} +(-0.834606 - 0.183711i) q^{31} +(0.437003 - 8.06004i) q^{32} +(1.88617 - 1.78668i) q^{33} +(1.27346 + 1.20628i) q^{34} +(0.0114097 + 0.210439i) q^{35} +(-0.337804 + 2.06051i) q^{36} +(0.774310 - 1.14202i) q^{37} +(-4.87612 - 0.530310i) q^{38} +(4.65558 - 2.80117i) q^{39} +(0.00954173 - 0.00210029i) q^{40} +(0.402216 + 2.45341i) q^{41} +(-7.04438 - 3.25908i) q^{42} +(-2.51249 - 9.04919i) q^{43} +(4.31863 - 3.28294i) q^{44} +(0.0545766 - 0.00593556i) q^{45} +(-7.93092 + 14.9593i) q^{46} +(2.80371 + 7.03678i) q^{47} +(1.02094 - 3.67711i) q^{48} +(5.00877 - 5.89678i) q^{49} +(4.73249 + 8.92642i) q^{50} +(0.486857 + 0.718060i) q^{51} +(10.2963 - 4.76359i) q^{52} +(1.40542 + 1.65458i) q^{53} +(-0.748377 + 1.87828i) q^{54} +(-0.113546 - 0.0863153i) q^{55} +(-0.585400 - 0.352224i) q^{56} +(-2.29890 - 0.774590i) q^{57} -13.2540 q^{58} +(3.48621 + 6.84444i) q^{59} +0.114629 q^{60} +(-0.490358 - 0.165221i) q^{61} +(-1.48054 - 0.890812i) q^{62} +(-3.05610 - 2.32318i) q^{63} +(3.21576 - 8.07094i) q^{64} +(-0.193103 - 0.227338i) q^{65} +(4.76746 - 2.20566i) q^{66} +(-5.10240 - 7.52548i) q^{67} +(0.848503 + 1.60045i) q^{68} +(-5.42133 + 6.38248i) q^{69} +(-0.113996 + 0.410576i) q^{70} +(1.88712 + 4.73631i) q^{71} +(-0.0833616 + 0.157237i) q^{72} +(10.4214 - 1.13340i) q^{73} +(2.22089 - 1.68828i) q^{74} +(1.33684 + 4.81485i) q^{75} +(-4.59715 - 2.12687i) q^{76} +(1.61355 + 9.84219i) q^{77} +(10.7287 - 2.36157i) q^{78} +(-6.49431 + 3.90750i) q^{79} +(-0.208276 - 0.0226514i) q^{80} +(-0.561187 + 0.827689i) q^{81} +(-0.813235 + 4.96051i) q^{82} +(-0.626748 - 11.5597i) q^{83} +(-5.81932 - 5.51235i) q^{84} +(0.0345770 - 0.0327531i) q^{85} +(1.02802 - 18.9607i) q^{86} +(-6.40202 - 1.40919i) q^{87} +(0.438166 - 0.147635i) q^{88} +(4.10144 - 1.38194i) q^{89} +(0.108403 + 0.0238614i) q^{90} +(-1.12922 + 20.8272i) q^{91} +(-12.6944 + 12.0247i) q^{92} +(-0.620425 - 0.587698i) q^{93} +(0.829154 + 15.2928i) q^{94} +(-0.0215457 + 0.131423i) q^{95} +(4.52983 - 6.68100i) q^{96} +(2.30594 + 0.250786i) q^{97} +(13.4039 - 8.06488i) q^{98} +(2.53731 - 0.558504i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.91605 + 0.645591i 1.35485 + 0.456502i 0.900707 0.434427i \(-0.143049\pi\)
0.454142 + 0.890929i \(0.349946\pi\)
\(3\) 0.856857 + 0.515554i 0.494707 + 0.297655i
\(4\) 1.66226 + 1.26362i 0.831129 + 0.631808i
\(5\) 0.0203200 0.0509993i 0.00908738 0.0228076i −0.924363 0.381514i \(-0.875403\pi\)
0.933450 + 0.358706i \(0.116782\pi\)
\(6\) 1.30894 + 1.54100i 0.534373 + 0.629112i
\(7\) −3.48406 + 1.61190i −1.31685 + 0.609241i −0.947413 0.320014i \(-0.896312\pi\)
−0.369439 + 0.929255i \(0.620450\pi\)
\(8\) 0.0998732 + 0.147302i 0.0353105 + 0.0520791i
\(9\) 0.468408 + 0.883512i 0.156136 + 0.294504i
\(10\) 0.0718588 0.0845987i 0.0227237 0.0267525i
\(11\) 0.695053 2.50335i 0.209566 0.754789i −0.781784 0.623549i \(-0.785690\pi\)
0.991351 0.131240i \(-0.0418960\pi\)
\(12\) 0.772856 + 1.93972i 0.223104 + 0.559950i
\(13\) 2.54501 4.80040i 0.705860 1.33139i −0.227968 0.973669i \(-0.573208\pi\)
0.933827 0.357724i \(-0.116447\pi\)
\(14\) −7.71625 + 0.839193i −2.06226 + 0.224284i
\(15\) 0.0437042 0.0332231i 0.0112844 0.00857817i
\(16\) −1.02094 3.67711i −0.255236 0.919278i
\(17\) 0.787366 + 0.364274i 0.190964 + 0.0883495i 0.513041 0.858364i \(-0.328519\pi\)
−0.322077 + 0.946714i \(0.604381\pi\)
\(18\) 0.327105 + 1.99525i 0.0770993 + 0.470285i
\(19\) −2.36917 + 0.521495i −0.543526 + 0.119639i −0.478243 0.878228i \(-0.658726\pi\)
−0.0652831 + 0.997867i \(0.520795\pi\)
\(20\) 0.0982207 0.0590974i 0.0219628 0.0132146i
\(21\) −3.81636 0.415055i −0.832799 0.0905724i
\(22\) 2.94790 4.34782i 0.628493 0.926958i
\(23\) −1.35479 + 8.26386i −0.282493 + 1.72313i 0.339928 + 0.940451i \(0.389597\pi\)
−0.622421 + 0.782682i \(0.713851\pi\)
\(24\) 0.00963498 + 0.177707i 0.00196673 + 0.0362742i
\(25\) 3.62779 + 3.43642i 0.725558 + 0.687285i
\(26\) 7.97546 7.55476i 1.56412 1.48161i
\(27\) −0.0541389 + 0.998533i −0.0104190 + 0.192168i
\(28\) −7.82824 1.72312i −1.47940 0.325640i
\(29\) −6.21213 + 2.09311i −1.15356 + 0.388681i −0.830130 0.557570i \(-0.811734\pi\)
−0.323433 + 0.946251i \(0.604837\pi\)
\(30\) 0.105188 0.0354419i 0.0192046 0.00647078i
\(31\) −0.834606 0.183711i −0.149900 0.0329954i 0.139387 0.990238i \(-0.455487\pi\)
−0.289286 + 0.957243i \(0.593418\pi\)
\(32\) 0.437003 8.06004i 0.0772519 1.42483i
\(33\) 1.88617 1.78668i 0.328341 0.311021i
\(34\) 1.27346 + 1.20628i 0.218396 + 0.206876i
\(35\) 0.0114097 + 0.210439i 0.00192858 + 0.0355706i
\(36\) −0.337804 + 2.06051i −0.0563007 + 0.343419i
\(37\) 0.774310 1.14202i 0.127296 0.187747i −0.758700 0.651440i \(-0.774165\pi\)
0.885996 + 0.463692i \(0.153476\pi\)
\(38\) −4.87612 0.530310i −0.791011 0.0860276i
\(39\) 4.65558 2.80117i 0.745489 0.448546i
\(40\) 0.00954173 0.00210029i 0.00150868 0.000332085i
\(41\) 0.402216 + 2.45341i 0.0628156 + 0.383158i 0.999459 + 0.0328751i \(0.0104664\pi\)
−0.936644 + 0.350283i \(0.886085\pi\)
\(42\) −7.04438 3.25908i −1.08697 0.502886i
\(43\) −2.51249 9.04919i −0.383152 1.37999i −0.864136 0.503259i \(-0.832134\pi\)
0.480984 0.876729i \(-0.340280\pi\)
\(44\) 4.31863 3.28294i 0.651059 0.494922i
\(45\) 0.0545766 0.00593556i 0.00813580 0.000884821i
\(46\) −7.93092 + 14.9593i −1.16935 + 2.20563i
\(47\) 2.80371 + 7.03678i 0.408963 + 1.02642i 0.978829 + 0.204682i \(0.0656159\pi\)
−0.569866 + 0.821738i \(0.693005\pi\)
\(48\) 1.02094 3.67711i 0.147361 0.530745i
\(49\) 5.00877 5.89678i 0.715539 0.842397i
\(50\) 4.73249 + 8.92642i 0.669275 + 1.26239i
\(51\) 0.486857 + 0.718060i 0.0681736 + 0.100549i
\(52\) 10.2963 4.76359i 1.42785 0.660592i
\(53\) 1.40542 + 1.65458i 0.193049 + 0.227274i 0.850167 0.526513i \(-0.176501\pi\)
−0.657119 + 0.753787i \(0.728225\pi\)
\(54\) −0.748377 + 1.87828i −0.101841 + 0.255602i
\(55\) −0.113546 0.0863153i −0.0153105 0.0116388i
\(56\) −0.585400 0.352224i −0.0782274 0.0470679i
\(57\) −2.29890 0.774590i −0.304497 0.102597i
\(58\) −13.2540 −1.74034
\(59\) 3.48621 + 6.84444i 0.453866 + 0.891070i
\(60\) 0.114629 0.0147985
\(61\) −0.490358 0.165221i −0.0627840 0.0211544i 0.287734 0.957710i \(-0.407098\pi\)
−0.350518 + 0.936556i \(0.613995\pi\)
\(62\) −1.48054 0.890812i −0.188029 0.113133i
\(63\) −3.05610 2.32318i −0.385032 0.292694i
\(64\) 3.21576 8.07094i 0.401969 1.00887i
\(65\) −0.193103 0.227338i −0.0239515 0.0281978i
\(66\) 4.76746 2.20566i 0.586834 0.271498i
\(67\) −5.10240 7.52548i −0.623357 0.919383i 0.376618 0.926369i \(-0.377087\pi\)
−0.999976 + 0.00698511i \(0.997777\pi\)
\(68\) 0.848503 + 1.60045i 0.102896 + 0.194083i
\(69\) −5.42133 + 6.38248i −0.652651 + 0.768360i
\(70\) −0.113996 + 0.410576i −0.0136251 + 0.0490732i
\(71\) 1.88712 + 4.73631i 0.223960 + 0.562097i 0.997423 0.0717444i \(-0.0228566\pi\)
−0.773463 + 0.633841i \(0.781477\pi\)
\(72\) −0.0833616 + 0.157237i −0.00982426 + 0.0185305i
\(73\) 10.4214 1.13340i 1.21973 0.132654i 0.524483 0.851421i \(-0.324259\pi\)
0.695251 + 0.718767i \(0.255293\pi\)
\(74\) 2.22089 1.68828i 0.258173 0.196258i
\(75\) 1.33684 + 4.81485i 0.154364 + 0.555971i
\(76\) −4.59715 2.12687i −0.527329 0.243969i
\(77\) 1.61355 + 9.84219i 0.183881 + 1.12162i
\(78\) 10.7287 2.36157i 1.21479 0.267395i
\(79\) −6.49431 + 3.90750i −0.730667 + 0.439628i −0.831678 0.555258i \(-0.812620\pi\)
0.101012 + 0.994885i \(0.467792\pi\)
\(80\) −0.208276 0.0226514i −0.0232859 0.00253250i
\(81\) −0.561187 + 0.827689i −0.0623541 + 0.0919654i
\(82\) −0.813235 + 4.96051i −0.0898068 + 0.547797i
\(83\) −0.626748 11.5597i −0.0687945 1.26884i −0.805488 0.592613i \(-0.798096\pi\)
0.736693 0.676227i \(-0.236386\pi\)
\(84\) −5.81932 5.51235i −0.634939 0.601447i
\(85\) 0.0345770 0.0327531i 0.00375040 0.00355257i
\(86\) 1.02802 18.9607i 0.110854 2.04459i
\(87\) −6.40202 1.40919i −0.686368 0.151081i
\(88\) 0.438166 0.147635i 0.0467086 0.0157380i
\(89\) 4.10144 1.38194i 0.434752 0.146485i −0.0934118 0.995628i \(-0.529777\pi\)
0.528164 + 0.849143i \(0.322881\pi\)
\(90\) 0.108403 + 0.0238614i 0.0114267 + 0.00251521i
\(91\) −1.12922 + 20.8272i −0.118374 + 2.18329i
\(92\) −12.6944 + 12.0247i −1.32348 + 1.25367i
\(93\) −0.620425 0.587698i −0.0643351 0.0609415i
\(94\) 0.829154 + 15.2928i 0.0855207 + 1.57734i
\(95\) −0.0215457 + 0.131423i −0.00221054 + 0.0134837i
\(96\) 4.52983 6.68100i 0.462324 0.681877i
\(97\) 2.30594 + 0.250786i 0.234133 + 0.0254635i 0.224433 0.974489i \(-0.427947\pi\)
0.00969970 + 0.999953i \(0.496912\pi\)
\(98\) 13.4039 8.06488i 1.35400 0.814676i
\(99\) 2.53731 0.558504i 0.255009 0.0561318i
\(100\) 1.68800 + 10.2964i 0.168800 + 1.02964i
\(101\) −9.73906 4.50577i −0.969073 0.448341i −0.129495 0.991580i \(-0.541336\pi\)
−0.839578 + 0.543239i \(0.817198\pi\)
\(102\) 0.469267 + 1.69015i 0.0464644 + 0.167350i
\(103\) 15.0589 11.4475i 1.48380 1.12795i 0.522428 0.852683i \(-0.325026\pi\)
0.961367 0.275269i \(-0.0887669\pi\)
\(104\) 0.961288 0.104546i 0.0942620 0.0102516i
\(105\) −0.0987160 + 0.186198i −0.00963370 + 0.0181711i
\(106\) 1.62466 + 4.07758i 0.157801 + 0.396050i
\(107\) −4.78244 + 17.2248i −0.462336 + 1.66518i 0.253825 + 0.967250i \(0.418311\pi\)
−0.716161 + 0.697935i \(0.754103\pi\)
\(108\) −1.35176 + 1.59141i −0.130073 + 0.153134i
\(109\) −5.88525 11.1008i −0.563705 1.06326i −0.987517 0.157510i \(-0.949653\pi\)
0.423812 0.905750i \(-0.360692\pi\)
\(110\) −0.161835 0.238688i −0.0154303 0.0227580i
\(111\) 1.25225 0.579351i 0.118858 0.0549896i
\(112\) 9.48416 + 11.1656i 0.896169 + 1.05505i
\(113\) 1.95514 4.90703i 0.183924 0.461615i −0.807886 0.589339i \(-0.799388\pi\)
0.991810 + 0.127725i \(0.0407674\pi\)
\(114\) −3.90473 2.96830i −0.365712 0.278007i
\(115\) 0.393922 + 0.237015i 0.0367334 + 0.0221018i
\(116\) −12.9710 4.37046i −1.20433 0.405787i
\(117\) 5.43332 0.502311
\(118\) 2.26103 + 15.3649i 0.208144 + 1.41446i
\(119\) −3.33040 −0.305298
\(120\) 0.00925871 + 0.00311962i 0.000845201 + 0.000284781i
\(121\) 3.64175 + 2.19117i 0.331068 + 0.199197i
\(122\) −0.832884 0.633142i −0.0754058 0.0573220i
\(123\) −0.920223 + 2.30959i −0.0829737 + 0.208248i
\(124\) −1.15519 1.36000i −0.103739 0.122131i
\(125\) 0.498094 0.230443i 0.0445509 0.0206114i
\(126\) −4.35579 6.42432i −0.388045 0.572324i
\(127\) 5.98808 + 11.2947i 0.531356 + 1.00224i 0.993325 + 0.115348i \(0.0367983\pi\)
−0.461969 + 0.886896i \(0.652857\pi\)
\(128\) 0.920818 1.08407i 0.0813896 0.0958193i
\(129\) 2.51249 9.04919i 0.221213 0.796737i
\(130\) −0.223226 0.560256i −0.0195782 0.0491377i
\(131\) 9.25276 17.4525i 0.808417 1.52484i −0.0422354 0.999108i \(-0.513448\pi\)
0.850652 0.525729i \(-0.176207\pi\)
\(132\) 5.39299 0.586523i 0.469399 0.0510502i
\(133\) 7.41375 5.63579i 0.642854 0.488685i
\(134\) −4.91805 17.7132i −0.424855 1.53019i
\(135\) 0.0498244 + 0.0230512i 0.00428821 + 0.00198394i
\(136\) 0.0249784 + 0.152362i 0.00214188 + 0.0130649i
\(137\) 0.157292 0.0346226i 0.0134384 0.00295801i −0.208246 0.978076i \(-0.566776\pi\)
0.221685 + 0.975118i \(0.428844\pi\)
\(138\) −14.5080 + 8.72916i −1.23500 + 0.743076i
\(139\) 13.8173 + 1.50272i 1.17196 + 0.127459i 0.673323 0.739349i \(-0.264867\pi\)
0.498642 + 0.866808i \(0.333832\pi\)
\(140\) −0.246948 + 0.364221i −0.0208709 + 0.0307823i
\(141\) −1.22546 + 7.47498i −0.103202 + 0.629507i
\(142\) 0.558086 + 10.2933i 0.0468336 + 0.863795i
\(143\) −10.2482 9.70760i −0.856997 0.811790i
\(144\) 2.77055 2.62441i 0.230879 0.218701i
\(145\) −0.0194832 + 0.359346i −0.00161799 + 0.0298421i
\(146\) 20.6996 + 4.55633i 1.71311 + 0.377085i
\(147\) 7.33191 2.47041i 0.604726 0.203756i
\(148\) 2.73018 0.919905i 0.224419 0.0756157i
\(149\) 3.73364 + 0.821836i 0.305872 + 0.0673275i 0.365254 0.930908i \(-0.380982\pi\)
−0.0593824 + 0.998235i \(0.518913\pi\)
\(150\) −0.546983 + 10.0885i −0.0446610 + 0.823724i
\(151\) −12.9506 + 12.2674i −1.05390 + 0.998310i −1.00000 0.000235680i \(-0.999925\pi\)
−0.0539036 + 0.998546i \(0.517166\pi\)
\(152\) −0.313434 0.296901i −0.0254229 0.0240818i
\(153\) 0.0469681 + 0.866276i 0.00379715 + 0.0700343i
\(154\) −3.26240 + 19.8998i −0.262892 + 1.60357i
\(155\) −0.0263283 + 0.0388314i −0.00211474 + 0.00311901i
\(156\) 11.2784 + 1.22660i 0.902993 + 0.0982064i
\(157\) 8.25308 4.96571i 0.658667 0.396307i −0.146619 0.989193i \(-0.546839\pi\)
0.805286 + 0.592886i \(0.202012\pi\)
\(158\) −14.9660 + 3.29427i −1.19063 + 0.262078i
\(159\) 0.351214 + 2.14231i 0.0278531 + 0.169896i
\(160\) −0.402177 0.186067i −0.0317949 0.0147099i
\(161\) −8.60033 30.9756i −0.677801 2.44122i
\(162\) −1.60961 + 1.22359i −0.126463 + 0.0961345i
\(163\) −22.2179 + 2.41634i −1.74024 + 0.189262i −0.922413 0.386204i \(-0.873786\pi\)
−0.817825 + 0.575467i \(0.804820\pi\)
\(164\) −2.43158 + 4.58645i −0.189875 + 0.358142i
\(165\) −0.0527924 0.132499i −0.00410988 0.0103150i
\(166\) 6.26195 22.5535i 0.486022 1.75049i
\(167\) 2.45665 2.89220i 0.190102 0.223805i −0.658852 0.752273i \(-0.728958\pi\)
0.848953 + 0.528468i \(0.177233\pi\)
\(168\) −0.320014 0.603611i −0.0246896 0.0465696i
\(169\) −9.27136 13.6742i −0.713181 1.05186i
\(170\) 0.0873962 0.0404338i 0.00670299 0.00310113i
\(171\) −1.57049 1.84892i −0.120098 0.141391i
\(172\) 7.25828 18.2169i 0.553439 1.38903i
\(173\) −2.92245 2.22159i −0.222190 0.168904i 0.488158 0.872755i \(-0.337669\pi\)
−0.710348 + 0.703851i \(0.751462\pi\)
\(174\) −11.3568 6.83316i −0.860957 0.518020i
\(175\) −18.1786 6.12509i −1.37417 0.463013i
\(176\) −9.91471 −0.747350
\(177\) −0.541495 + 7.66204i −0.0407013 + 0.575914i
\(178\) 8.75072 0.655894
\(179\) −6.77400 2.28243i −0.506313 0.170597i 0.0545411 0.998512i \(-0.482630\pi\)
−0.560854 + 0.827915i \(0.689527\pi\)
\(180\) 0.0982207 + 0.0590974i 0.00732094 + 0.00440486i
\(181\) −16.9837 12.9107i −1.26239 0.959643i −0.262403 0.964958i \(-0.584515\pi\)
−0.999986 + 0.00531572i \(0.998308\pi\)
\(182\) −15.6095 + 39.1769i −1.15705 + 2.90398i
\(183\) −0.334987 0.394377i −0.0247629 0.0291532i
\(184\) −1.35259 + 0.625775i −0.0997143 + 0.0461327i
\(185\) −0.0425084 0.0626952i −0.00312528 0.00460944i
\(186\) −0.809351 1.52660i −0.0593445 0.111936i
\(187\) 1.45917 1.71786i 0.106705 0.125623i
\(188\) −4.23130 + 15.2398i −0.308599 + 1.11147i
\(189\) −1.42091 3.56622i −0.103356 0.259404i
\(190\) −0.126128 + 0.237903i −0.00915030 + 0.0172593i
\(191\) −24.6743 + 2.68349i −1.78537 + 0.194171i −0.940268 0.340436i \(-0.889425\pi\)
−0.845101 + 0.534607i \(0.820460\pi\)
\(192\) 6.91645 5.25775i 0.499152 0.379445i
\(193\) −5.16092 18.5879i −0.371491 1.33799i −0.879197 0.476459i \(-0.841920\pi\)
0.507706 0.861531i \(-0.330494\pi\)
\(194\) 4.25639 + 1.96921i 0.305591 + 0.141381i
\(195\) −0.0482564 0.294351i −0.00345572 0.0210789i
\(196\) 15.7771 3.47281i 1.12694 0.248058i
\(197\) 8.30618 4.99766i 0.591791 0.356069i −0.187943 0.982180i \(-0.560182\pi\)
0.779734 + 0.626111i \(0.215354\pi\)
\(198\) 5.22217 + 0.567945i 0.371123 + 0.0403621i
\(199\) −5.36801 + 7.91722i −0.380528 + 0.561237i −0.968931 0.247331i \(-0.920447\pi\)
0.588403 + 0.808568i \(0.299757\pi\)
\(200\) −0.143873 + 0.877587i −0.0101734 + 0.0620548i
\(201\) −0.492239 9.07882i −0.0347199 0.640371i
\(202\) −15.7516 14.9207i −1.10828 1.04982i
\(203\) 18.2696 17.3058i 1.28227 1.21463i
\(204\) −0.0980704 + 1.80880i −0.00686630 + 0.126642i
\(205\) 0.133295 + 0.0293405i 0.00930975 + 0.00204923i
\(206\) 36.2439 12.2120i 2.52523 0.850850i
\(207\) −7.93581 + 2.67389i −0.551577 + 0.185848i
\(208\) −20.2499 4.45735i −1.40408 0.309061i
\(209\) −0.341215 + 6.29335i −0.0236024 + 0.435320i
\(210\) −0.309352 + 0.293034i −0.0213473 + 0.0202213i
\(211\) 17.4901 + 16.5675i 1.20407 + 1.14055i 0.986371 + 0.164535i \(0.0526123\pi\)
0.217695 + 0.976017i \(0.430146\pi\)
\(212\) 0.245406 + 4.52625i 0.0168546 + 0.310864i
\(213\) −0.824832 + 5.03125i −0.0565166 + 0.344736i
\(214\) −20.2836 + 29.9160i −1.38656 + 2.04502i
\(215\) −0.512556 0.0557439i −0.0349561 0.00380170i
\(216\) −0.152493 + 0.0917520i −0.0103758 + 0.00624293i
\(217\) 3.20394 0.705241i 0.217498 0.0478749i
\(218\) −4.10986 25.0690i −0.278355 1.69789i
\(219\) 9.51399 + 4.40164i 0.642896 + 0.297435i
\(220\) −0.0796732 0.286957i −0.00537156 0.0193466i
\(221\) 3.75252 2.85259i 0.252422 0.191886i
\(222\) 2.77339 0.301624i 0.186137 0.0202437i
\(223\) 7.40603 13.9692i 0.495944 0.935450i −0.501579 0.865112i \(-0.667247\pi\)
0.997523 0.0703382i \(-0.0224078\pi\)
\(224\) 11.4694 + 28.7861i 0.766333 + 1.92335i
\(225\) −1.33684 + 4.81485i −0.0891224 + 0.320990i
\(226\) 6.91408 8.13988i 0.459918 0.541457i
\(227\) 6.00122 + 11.3195i 0.398315 + 0.751302i 0.998832 0.0483100i \(-0.0153835\pi\)
−0.600517 + 0.799612i \(0.705039\pi\)
\(228\) −2.84259 4.19250i −0.188255 0.277655i
\(229\) 6.39996 2.96094i 0.422921 0.195664i −0.196872 0.980429i \(-0.563078\pi\)
0.619794 + 0.784765i \(0.287216\pi\)
\(230\) 0.601758 + 0.708444i 0.0396788 + 0.0467134i
\(231\) −3.69160 + 9.26522i −0.242890 + 0.609607i
\(232\) −0.928744 0.706013i −0.0609750 0.0463520i
\(233\) 15.5863 + 9.37798i 1.02109 + 0.614372i 0.924591 0.380961i \(-0.124407\pi\)
0.0965028 + 0.995333i \(0.469234\pi\)
\(234\) 10.4105 + 3.50770i 0.680555 + 0.229306i
\(235\) 0.415842 0.0271266
\(236\) −2.85377 + 15.7825i −0.185764 + 1.02735i
\(237\) −7.57922 −0.492323
\(238\) −6.38121 2.15008i −0.413632 0.139369i
\(239\) −13.1661 7.92178i −0.851644 0.512417i 0.0215624 0.999768i \(-0.493136\pi\)
−0.873207 + 0.487350i \(0.837964\pi\)
\(240\) −0.166785 0.126786i −0.0107659 0.00818402i
\(241\) 0.689756 1.73116i 0.0444311 0.111514i −0.905086 0.425228i \(-0.860194\pi\)
0.949517 + 0.313714i \(0.101573\pi\)
\(242\) 5.56316 + 6.54946i 0.357614 + 0.421015i
\(243\) −0.907575 + 0.419889i −0.0582210 + 0.0269359i
\(244\) −0.606327 0.894265i −0.0388161 0.0572494i
\(245\) −0.198954 0.375266i −0.0127107 0.0239749i
\(246\) −3.25424 + 3.83119i −0.207483 + 0.244267i
\(247\) −3.52619 + 12.7002i −0.224366 + 0.808095i
\(248\) −0.0562938 0.141287i −0.00357466 0.00897173i
\(249\) 5.42261 10.2281i 0.343644 0.648181i
\(250\) 1.10314 0.119974i 0.0697689 0.00758783i
\(251\) −8.92791 + 6.78682i −0.563525 + 0.428380i −0.847764 0.530373i \(-0.822052\pi\)
0.284240 + 0.958753i \(0.408259\pi\)
\(252\) −2.14441 7.72347i −0.135085 0.486533i
\(253\) 19.7457 + 9.13534i 1.24140 + 0.574334i
\(254\) 4.18167 + 25.5071i 0.262381 + 1.60045i
\(255\) 0.0465135 0.0102384i 0.00291279 0.000641154i
\(256\) −12.4245 + 7.47559i −0.776533 + 0.467225i
\(257\) 20.8184 + 2.26413i 1.29861 + 0.141233i 0.731179 0.682186i \(-0.238971\pi\)
0.567434 + 0.823419i \(0.307936\pi\)
\(258\) 10.6561 15.7166i 0.663422 0.978474i
\(259\) −0.856920 + 5.22698i −0.0532464 + 0.324789i
\(260\) −0.0337186 0.621903i −0.00209114 0.0385688i
\(261\) −4.75910 4.50806i −0.294581 0.279042i
\(262\) 28.9959 27.4664i 1.79137 1.69688i
\(263\) −0.680053 + 12.5428i −0.0419339 + 0.773425i 0.899643 + 0.436626i \(0.143827\pi\)
−0.941577 + 0.336798i \(0.890656\pi\)
\(264\) 0.451560 + 0.0993958i 0.0277916 + 0.00611739i
\(265\) 0.112941 0.0380541i 0.00693789 0.00233765i
\(266\) 17.8435 6.01218i 1.09406 0.368630i
\(267\) 4.22681 + 0.930392i 0.258677 + 0.0569390i
\(268\) 1.02781 18.9568i 0.0627833 1.15797i
\(269\) −10.1497 + 9.61428i −0.618836 + 0.586193i −0.931532 0.363661i \(-0.881527\pi\)
0.312695 + 0.949854i \(0.398768\pi\)
\(270\) 0.0805843 + 0.0763335i 0.00490420 + 0.00464551i
\(271\) 0.857834 + 15.8218i 0.0521097 + 0.961107i 0.901348 + 0.433096i \(0.142579\pi\)
−0.849238 + 0.528010i \(0.822938\pi\)
\(272\) 0.535619 3.26713i 0.0324767 0.198099i
\(273\) −11.7051 + 17.2638i −0.708427 + 1.04485i
\(274\) 0.323731 + 0.0352079i 0.0195573 + 0.00212699i
\(275\) 11.1241 6.69314i 0.670808 0.403612i
\(276\) −17.0767 + 3.75886i −1.02789 + 0.226257i
\(277\) 0.0489869 + 0.298807i 0.00294334 + 0.0179536i 0.988257 0.152799i \(-0.0488286\pi\)
−0.985314 + 0.170752i \(0.945380\pi\)
\(278\) 25.5044 + 11.7996i 1.52965 + 0.707692i
\(279\) −0.228626 0.823436i −0.0136875 0.0492978i
\(280\) −0.0298585 + 0.0226979i −0.00178439 + 0.00135646i
\(281\) 0.387558 0.0421495i 0.0231198 0.00251443i −0.0965518 0.995328i \(-0.530781\pi\)
0.119672 + 0.992814i \(0.461816\pi\)
\(282\) −7.17382 + 13.5313i −0.427195 + 0.805774i
\(283\) −9.27818 23.2865i −0.551531 1.38424i −0.895418 0.445227i \(-0.853123\pi\)
0.343887 0.939011i \(-0.388256\pi\)
\(284\) −2.84800 + 10.2576i −0.168998 + 0.608675i
\(285\) −0.0862173 + 0.101503i −0.00510707 + 0.00601251i
\(286\) −13.3689 25.2163i −0.790517 1.49107i
\(287\) −5.35600 7.89950i −0.316154 0.466293i
\(288\) 7.32584 3.38929i 0.431679 0.199716i
\(289\) −10.5183 12.3831i −0.618725 0.728419i
\(290\) −0.269321 + 0.675946i −0.0158151 + 0.0396929i
\(291\) 1.84657 + 1.40373i 0.108248 + 0.0822878i
\(292\) 18.7553 + 11.2847i 1.09757 + 0.660385i
\(293\) −9.92529 3.34422i −0.579841 0.195371i 0.0140710 0.999901i \(-0.495521\pi\)
−0.593912 + 0.804530i \(0.702417\pi\)
\(294\) 15.6431 0.912327
\(295\) 0.419902 0.0387153i 0.0244476 0.00225409i
\(296\) 0.245555 0.0142726
\(297\) 2.46205 + 0.829562i 0.142863 + 0.0481361i
\(298\) 6.62326 + 3.98508i 0.383675 + 0.230850i
\(299\) 36.2219 + 27.5352i 2.09477 + 1.59240i
\(300\) −3.86195 + 9.69277i −0.222970 + 0.559612i
\(301\) 23.3401 + 27.4780i 1.34530 + 1.58381i
\(302\) −32.7337 + 15.1442i −1.88361 + 0.871451i
\(303\) −6.02202 8.88181i −0.345956 0.510247i
\(304\) 4.33639 + 8.17930i 0.248709 + 0.469115i
\(305\) −0.0183902 + 0.0216507i −0.00105302 + 0.00123971i
\(306\) −0.469267 + 1.69015i −0.0268262 + 0.0966193i
\(307\) −7.06090 17.7215i −0.402987 1.01142i −0.980759 0.195222i \(-0.937457\pi\)
0.577772 0.816198i \(-0.303922\pi\)
\(308\) −9.75462 + 18.3992i −0.555821 + 1.04839i
\(309\) 18.8051 2.04518i 1.06978 0.116346i
\(310\) −0.0755154 + 0.0574054i −0.00428899 + 0.00326040i
\(311\) 5.40932 + 19.4826i 0.306734 + 1.10476i 0.942865 + 0.333175i \(0.108120\pi\)
−0.636131 + 0.771581i \(0.719466\pi\)
\(312\) 0.877585 + 0.406014i 0.0496835 + 0.0229860i
\(313\) 4.02048 + 24.5238i 0.227251 + 1.38617i 0.816093 + 0.577921i \(0.196136\pi\)
−0.588842 + 0.808248i \(0.700416\pi\)
\(314\) 19.0191 4.18642i 1.07331 0.236253i
\(315\) −0.180581 + 0.108652i −0.0101746 + 0.00612184i
\(316\) −15.7328 1.71104i −0.885039 0.0962538i
\(317\) 8.86036 13.0681i 0.497648 0.733975i −0.493058 0.869996i \(-0.664121\pi\)
0.990706 + 0.136021i \(0.0434315\pi\)
\(318\) −0.710114 + 4.33150i −0.0398212 + 0.242899i
\(319\) 0.922037 + 17.0060i 0.0516241 + 0.952151i
\(320\) −0.346268 0.328003i −0.0193570 0.0183359i
\(321\) −12.9782 + 12.2936i −0.724372 + 0.686161i
\(322\) 3.51894 64.9030i 0.196103 3.61690i
\(323\) −2.05537 0.452422i −0.114364 0.0251734i
\(324\) −1.97872 + 0.666708i −0.109929 + 0.0370393i
\(325\) 25.7290 8.66911i 1.42719 0.480876i
\(326\) −44.1304 9.71385i −2.44416 0.538000i
\(327\) 0.680221 12.5459i 0.0376163 0.693792i
\(328\) −0.321221 + 0.304277i −0.0177365 + 0.0168009i
\(329\) −21.1109 19.9973i −1.16388 1.10249i
\(330\) −0.0156125 0.287956i −0.000859442 0.0158515i
\(331\) 1.73003 10.5527i 0.0950912 0.580031i −0.895703 0.444653i \(-0.853327\pi\)
0.990794 0.135378i \(-0.0432247\pi\)
\(332\) 13.5652 20.0072i 0.744486 1.09804i
\(333\) 1.37168 + 0.149180i 0.0751678 + 0.00817499i
\(334\) 6.57424 3.95559i 0.359726 0.216440i
\(335\) −0.487475 + 0.107301i −0.0266336 + 0.00586250i
\(336\) 2.37010 + 14.4569i 0.129299 + 0.788691i
\(337\) −11.4411 5.29322i −0.623237 0.288340i 0.0827439 0.996571i \(-0.473632\pi\)
−0.705981 + 0.708231i \(0.749494\pi\)
\(338\) −8.93639 32.1860i −0.486075 1.75069i
\(339\) 4.20512 3.19665i 0.228391 0.173618i
\(340\) 0.0988633 0.0107520i 0.00536161 0.000583111i
\(341\) −1.03999 + 1.96162i −0.0563185 + 0.106228i
\(342\) −1.81548 4.55651i −0.0981699 0.246388i
\(343\) −0.756811 + 2.72579i −0.0408640 + 0.147179i
\(344\) 1.08203 1.27387i 0.0583393 0.0686823i
\(345\) 0.215341 + 0.406176i 0.0115936 + 0.0218678i
\(346\) −4.16531 6.14338i −0.223929 0.330270i
\(347\) −9.97012 + 4.61267i −0.535224 + 0.247621i −0.668832 0.743413i \(-0.733206\pi\)
0.133608 + 0.991034i \(0.457344\pi\)
\(348\) −8.86113 10.4321i −0.475006 0.559221i
\(349\) −11.0460 + 27.7235i −0.591281 + 1.48400i 0.263315 + 0.964710i \(0.415184\pi\)
−0.854596 + 0.519293i \(0.826195\pi\)
\(350\) −30.8768 23.4719i −1.65043 1.25463i
\(351\) 4.65558 + 2.80117i 0.248496 + 0.149515i
\(352\) −19.8734 6.69612i −1.05925 0.356905i
\(353\) −19.1670 −1.02016 −0.510079 0.860127i \(-0.670384\pi\)
−0.510079 + 0.860127i \(0.670384\pi\)
\(354\) −5.98407 + 14.3312i −0.318050 + 0.761696i
\(355\) 0.279895 0.0148553
\(356\) 8.56389 + 2.88551i 0.453886 + 0.152932i
\(357\) −2.85368 1.71700i −0.151033 0.0908734i
\(358\) −11.5058 8.74647i −0.608099 0.462265i
\(359\) 12.4319 31.2017i 0.656131 1.64676i −0.102097 0.994774i \(-0.532555\pi\)
0.758228 0.651990i \(-0.226066\pi\)
\(360\) 0.00632506 + 0.00744644i 0.000333360 + 0.000392462i
\(361\) −11.9029 + 5.50687i −0.626469 + 0.289835i
\(362\) −24.2065 35.7020i −1.27227 1.87645i
\(363\) 1.99079 + 3.75504i 0.104490 + 0.197088i
\(364\) −28.1947 + 33.1933i −1.47780 + 1.73980i
\(365\) 0.153961 0.554516i 0.00805866 0.0290247i
\(366\) −0.387244 0.971909i −0.0202416 0.0508025i
\(367\) −14.6141 + 27.5652i −0.762851 + 1.43889i 0.131403 + 0.991329i \(0.458052\pi\)
−0.894254 + 0.447560i \(0.852293\pi\)
\(368\) 31.7703 3.45523i 1.65614 0.180116i
\(369\) −1.97922 + 1.50456i −0.103034 + 0.0783243i
\(370\) −0.0409726 0.147570i −0.00213006 0.00767179i
\(371\) −7.56357 3.49928i −0.392681 0.181674i
\(372\) −0.288683 1.76089i −0.0149675 0.0912977i
\(373\) −11.2832 + 2.48362i −0.584221 + 0.128597i −0.497240 0.867613i \(-0.665653\pi\)
−0.0869813 + 0.996210i \(0.527722\pi\)
\(374\) 3.90487 2.34948i 0.201916 0.121489i
\(375\) 0.545601 + 0.0593377i 0.0281747 + 0.00306419i
\(376\) −0.756516 + 1.11578i −0.0390143 + 0.0575418i
\(377\) −5.76217 + 35.1477i −0.296767 + 1.81020i
\(378\) −0.420213 7.75037i −0.0216134 0.398636i
\(379\) −8.76611 8.30370i −0.450285 0.426533i 0.428653 0.903469i \(-0.358988\pi\)
−0.878938 + 0.476937i \(0.841747\pi\)
\(380\) −0.201883 + 0.191234i −0.0103564 + 0.00981008i
\(381\) −0.692106 + 12.7651i −0.0354576 + 0.653978i
\(382\) −49.0095 10.7878i −2.50754 0.551952i
\(383\) 15.8721 5.34794i 0.811027 0.273267i 0.116922 0.993141i \(-0.462697\pi\)
0.694104 + 0.719874i \(0.255801\pi\)
\(384\) 1.34791 0.454163i 0.0687851 0.0231764i
\(385\) 0.534733 + 0.117704i 0.0272525 + 0.00599873i
\(386\) 2.11166 38.9472i 0.107480 1.98236i
\(387\) 6.81819 6.45853i 0.346588 0.328306i
\(388\) 3.51617 + 3.33070i 0.178507 + 0.169091i
\(389\) 1.86151 + 34.3335i 0.0943823 + 1.74078i 0.536570 + 0.843856i \(0.319720\pi\)
−0.442187 + 0.896923i \(0.645797\pi\)
\(390\) 0.0975690 0.595145i 0.00494060 0.0301363i
\(391\) −4.07703 + 6.01316i −0.206184 + 0.304099i
\(392\) 1.36885 + 0.148871i 0.0691373 + 0.00751914i
\(393\) 16.9260 10.1840i 0.853805 0.513717i
\(394\) 19.1415 4.21335i 0.964333 0.212266i
\(395\) 0.0673154 + 0.410606i 0.00338700 + 0.0206598i
\(396\) 4.92340 + 2.27781i 0.247410 + 0.114464i
\(397\) −2.15621 7.76596i −0.108217 0.389762i 0.889528 0.456881i \(-0.151033\pi\)
−0.997745 + 0.0671182i \(0.978620\pi\)
\(398\) −15.3966 + 11.7042i −0.771764 + 0.586680i
\(399\) 9.25808 1.00688i 0.463484 0.0504069i
\(400\) 8.93234 16.8482i 0.446617 0.842409i
\(401\) 6.21939 + 15.6095i 0.310581 + 0.779501i 0.998554 + 0.0537636i \(0.0171217\pi\)
−0.687972 + 0.725737i \(0.741499\pi\)
\(402\) 4.91805 17.7132i 0.245290 0.883456i
\(403\) −3.00597 + 3.53890i −0.149738 + 0.176285i
\(404\) −10.4953 19.7962i −0.522160 0.984897i
\(405\) 0.0308083 + 0.0454388i 0.00153088 + 0.00225787i
\(406\) 46.1778 21.3641i 2.29177 1.06028i
\(407\) −2.32070 2.73214i −0.115033 0.135427i
\(408\) −0.0571477 + 0.143430i −0.00282923 + 0.00710084i
\(409\) 17.2031 + 13.0775i 0.850640 + 0.646640i 0.936886 0.349634i \(-0.113694\pi\)
−0.0862465 + 0.996274i \(0.527487\pi\)
\(410\) 0.236458 + 0.142272i 0.0116778 + 0.00702632i
\(411\) 0.152627 + 0.0514259i 0.00752852 + 0.00253665i
\(412\) 39.4970 1.94588
\(413\) −23.1787 18.2270i −1.14055 0.896894i
\(414\) −16.9316 −0.832144
\(415\) −0.602272 0.202929i −0.0295644 0.00996139i
\(416\) −37.5793 22.6107i −1.84248 1.10858i
\(417\) 11.0647 + 8.41116i 0.541840 + 0.411896i
\(418\) −4.71671 + 11.8381i −0.230702 + 0.579018i
\(419\) 4.18900 + 4.93167i 0.204646 + 0.240928i 0.854905 0.518785i \(-0.173615\pi\)
−0.650259 + 0.759713i \(0.725340\pi\)
\(420\) −0.399375 + 0.184770i −0.0194875 + 0.00901587i
\(421\) 11.5552 + 17.0427i 0.563168 + 0.830611i 0.997538 0.0701236i \(-0.0223394\pi\)
−0.434370 + 0.900734i \(0.643029\pi\)
\(422\) 22.8160 + 43.0355i 1.11066 + 2.09493i
\(423\) −4.90380 + 5.77320i −0.238431 + 0.280702i
\(424\) −0.103360 + 0.372269i −0.00501960 + 0.0180790i
\(425\) 1.60460 + 4.02723i 0.0778344 + 0.195349i
\(426\) −4.82855 + 9.10761i −0.233944 + 0.441265i
\(427\) 1.97476 0.214768i 0.0955653 0.0103934i
\(428\) −29.7152 + 22.5889i −1.43634 + 1.09188i
\(429\) −3.77644 13.6015i −0.182328 0.656688i
\(430\) −0.946094 0.437710i −0.0456247 0.0211082i
\(431\) −1.50071 9.15395i −0.0722868 0.440930i −0.998028 0.0627722i \(-0.980006\pi\)
0.925741 0.378158i \(-0.123442\pi\)
\(432\) 3.72699 0.820373i 0.179315 0.0394702i
\(433\) −20.3871 + 12.2665i −0.979740 + 0.589490i −0.912861 0.408271i \(-0.866132\pi\)
−0.0668792 + 0.997761i \(0.521304\pi\)
\(434\) 6.59420 + 0.717162i 0.316532 + 0.0344249i
\(435\) −0.201957 + 0.297864i −0.00968308 + 0.0142815i
\(436\) 4.24429 25.8890i 0.203265 1.23986i
\(437\) −1.09982 20.2850i −0.0526117 0.970365i
\(438\) 15.3876 + 14.5759i 0.735247 + 0.696463i
\(439\) 13.0301 12.3428i 0.621894 0.589089i −0.310482 0.950579i \(-0.600490\pi\)
0.932376 + 0.361490i \(0.117732\pi\)
\(440\) 0.00137423 0.0253461i 6.55137e−5 0.00120833i
\(441\) 7.55603 + 1.66321i 0.359811 + 0.0792003i
\(442\) 9.03161 3.04310i 0.429590 0.144746i
\(443\) 36.4412 12.2785i 1.73137 0.583367i 0.735785 0.677215i \(-0.236813\pi\)
0.995587 + 0.0938482i \(0.0299168\pi\)
\(444\) 2.81363 + 0.619328i 0.133529 + 0.0293920i
\(445\) 0.0128634 0.237252i 0.000609784 0.0112468i
\(446\) 23.2087 21.9845i 1.09896 1.04099i
\(447\) 2.77550 + 2.62909i 0.131276 + 0.124352i
\(448\) 1.80564 + 33.3031i 0.0853086 + 1.57342i
\(449\) −1.13581 + 6.92816i −0.0536024 + 0.326960i 0.946390 + 0.323027i \(0.104700\pi\)
−0.999992 + 0.00393346i \(0.998748\pi\)
\(450\) −5.66986 + 8.36242i −0.267280 + 0.394208i
\(451\) 6.42131 + 0.698360i 0.302368 + 0.0328845i
\(452\) 9.45056 5.68621i 0.444517 0.267457i
\(453\) −17.4213 + 3.83472i −0.818525 + 0.180171i
\(454\) 4.19084 + 25.5630i 0.196686 + 1.19973i
\(455\) 1.03923 + 0.480798i 0.0487198 + 0.0225402i
\(456\) −0.115500 0.415994i −0.00540879 0.0194807i
\(457\) −4.81098 + 3.65721i −0.225048 + 0.171077i −0.711623 0.702562i \(-0.752039\pi\)
0.486574 + 0.873639i \(0.338246\pi\)
\(458\) 14.1742 1.54153i 0.662316 0.0720312i
\(459\) −0.406367 + 0.766490i −0.0189676 + 0.0357767i
\(460\) 0.355304 + 0.891747i 0.0165662 + 0.0415779i
\(461\) 7.12361 25.6569i 0.331780 1.19496i −0.590050 0.807367i \(-0.700892\pi\)
0.921830 0.387596i \(-0.126694\pi\)
\(462\) −13.0548 + 15.3693i −0.607365 + 0.715046i
\(463\) 2.96937 + 5.60083i 0.137998 + 0.260293i 0.942873 0.333152i \(-0.108112\pi\)
−0.804875 + 0.593445i \(0.797767\pi\)
\(464\) 14.0388 + 20.7057i 0.651736 + 0.961239i
\(465\) −0.0425793 + 0.0196993i −0.00197457 + 0.000913532i
\(466\) 23.8098 + 28.0310i 1.10297 + 1.29851i
\(467\) 7.27568 18.2606i 0.336678 0.844999i −0.659001 0.752142i \(-0.729021\pi\)
0.995679 0.0928571i \(-0.0296000\pi\)
\(468\) 9.03159 + 6.86563i 0.417485 + 0.317364i
\(469\) 29.9074 + 17.9947i 1.38100 + 0.830917i
\(470\) 0.796773 + 0.268464i 0.0367524 + 0.0123833i
\(471\) 9.63180 0.443810
\(472\) −0.660021 + 1.19710i −0.0303799 + 0.0551011i
\(473\) −24.3996 −1.12190
\(474\) −14.5221 4.89308i −0.667024 0.224746i
\(475\) −10.3869 6.24962i −0.476586 0.286752i
\(476\) −5.53599 4.20835i −0.253742 0.192890i
\(477\) −0.803535 + 2.01672i −0.0367914 + 0.0923393i
\(478\) −20.1126 23.6784i −0.919930 1.08303i
\(479\) 0.801610 0.370864i 0.0366265 0.0169452i −0.401490 0.915863i \(-0.631508\pi\)
0.438117 + 0.898918i \(0.355646\pi\)
\(480\) −0.248681 0.366776i −0.0113507 0.0167410i
\(481\) −3.51154 6.62346i −0.160112 0.302004i
\(482\) 2.43922 2.87167i 0.111104 0.130801i
\(483\) 8.60033 30.9756i 0.391329 1.40944i
\(484\) 3.28474 + 8.24407i 0.149306 + 0.374730i
\(485\) 0.0596467 0.112506i 0.00270842 0.00510861i
\(486\) −2.01003 + 0.218604i −0.0911770 + 0.00991609i
\(487\) 21.8461 16.6069i 0.989940 0.752532i 0.0209871 0.999780i \(-0.493319\pi\)
0.968952 + 0.247247i \(0.0795260\pi\)
\(488\) −0.0246363 0.0887319i −0.00111523 0.00401670i
\(489\) −20.2833 9.38405i −0.917243 0.424362i
\(490\) −0.138936 0.847471i −0.00627648 0.0382848i
\(491\) 9.11996 2.00745i 0.411578 0.0905951i −0.00435490 0.999991i \(-0.501386\pi\)
0.415933 + 0.909395i \(0.363455\pi\)
\(492\) −4.44808 + 2.67632i −0.200535 + 0.120658i
\(493\) −5.65368 0.614875i −0.254629 0.0276926i
\(494\) −14.9555 + 22.0577i −0.672879 + 0.992423i
\(495\) 0.0230748 0.140750i 0.00103713 0.00632624i
\(496\) 0.176562 + 3.25650i 0.00792787 + 0.146221i
\(497\) −14.2093 13.4598i −0.637374 0.603753i
\(498\) 16.9931 16.0968i 0.761481 0.721313i
\(499\) −0.263763 + 4.86482i −0.0118077 + 0.217779i 0.986675 + 0.162706i \(0.0520221\pi\)
−0.998482 + 0.0550737i \(0.982461\pi\)
\(500\) 1.11915 + 0.246344i 0.0500500 + 0.0110168i
\(501\) 3.59608 1.21166i 0.160661 0.0541331i
\(502\) −21.4878 + 7.24008i −0.959047 + 0.323141i
\(503\) 4.75532 + 1.04672i 0.212029 + 0.0466712i 0.319715 0.947514i \(-0.396413\pi\)
−0.107686 + 0.994185i \(0.534344\pi\)
\(504\) 0.0369874 0.682193i 0.00164755 0.0303873i
\(505\) −0.427689 + 0.405129i −0.0190319 + 0.0180280i
\(506\) 31.9360 + 30.2514i 1.41973 + 1.34484i
\(507\) −0.894427 16.4967i −0.0397229 0.732646i
\(508\) −4.31845 + 26.3414i −0.191600 + 1.16871i
\(509\) −24.1509 + 35.6200i −1.07047 + 1.57883i −0.286447 + 0.958096i \(0.592474\pi\)
−0.784024 + 0.620731i \(0.786836\pi\)
\(510\) 0.0957319 + 0.0104115i 0.00423908 + 0.000461028i
\(511\) −34.4819 + 20.7471i −1.52539 + 0.917797i
\(512\) −31.4104 + 6.91395i −1.38816 + 0.305556i
\(513\) −0.392465 2.39393i −0.0173278 0.105695i
\(514\) 38.4272 + 17.7783i 1.69495 + 0.784168i
\(515\) −0.277817 1.00061i −0.0122421 0.0440919i
\(516\) 15.6111 11.8673i 0.687241 0.522427i
\(517\) 19.5643 2.12774i 0.860435 0.0935780i
\(518\) −5.01639 + 9.46192i −0.220408 + 0.415733i
\(519\) −1.35877 3.41027i −0.0596436 0.149694i
\(520\) 0.0142016 0.0511494i 0.000622780 0.00224305i
\(521\) −6.71081 + 7.90058i −0.294006 + 0.346131i −0.889256 0.457410i \(-0.848777\pi\)
0.595250 + 0.803541i \(0.297053\pi\)
\(522\) −6.20829 11.7101i −0.271730 0.512536i
\(523\) 12.3260 + 18.1794i 0.538977 + 0.794931i 0.995498 0.0947812i \(-0.0302151\pi\)
−0.456521 + 0.889712i \(0.650905\pi\)
\(524\) 37.4338 17.3187i 1.63530 0.756572i
\(525\) −12.4187 14.6204i −0.541995 0.638086i
\(526\) −9.40056 + 23.5936i −0.409884 + 1.02873i
\(527\) −0.590219 0.448673i −0.0257103 0.0195445i
\(528\) −8.49549 5.11157i −0.369719 0.222452i
\(529\) −44.6599 15.0477i −1.94173 0.654247i
\(530\) 0.240967 0.0104669
\(531\) −4.41418 + 6.28610i −0.191559 + 0.272794i
\(532\) 19.4451 0.843050
\(533\) 12.8010 + 4.31316i 0.554473 + 0.186824i
\(534\) 7.49811 + 4.51147i 0.324475 + 0.195230i
\(535\) 0.781274 + 0.593909i 0.0337774 + 0.0256769i
\(536\) 0.598925 1.50319i 0.0258696 0.0649278i
\(537\) −4.62764 5.44807i −0.199697 0.235102i
\(538\) −25.6541 + 11.8689i −1.10603 + 0.511703i
\(539\) −11.2804 16.6373i −0.485880 0.716619i
\(540\) 0.0536932 + 0.101276i 0.00231059 + 0.00435823i
\(541\) 2.95011 3.47314i 0.126835 0.149322i −0.695079 0.718934i \(-0.744631\pi\)
0.821914 + 0.569612i \(0.192906\pi\)
\(542\) −8.57078 + 30.8691i −0.368146 + 1.32594i
\(543\) −7.89646 19.8186i −0.338869 0.850498i
\(544\) 3.28014 6.18701i 0.140635 0.265266i
\(545\) −0.685720 + 0.0745765i −0.0293730 + 0.00319451i
\(546\) −33.5729 + 25.5215i −1.43679 + 1.09222i
\(547\) −1.46752 5.28554i −0.0627468 0.225994i 0.925528 0.378679i \(-0.123622\pi\)
−0.988275 + 0.152686i \(0.951208\pi\)
\(548\) 0.305210 + 0.141205i 0.0130379 + 0.00603199i
\(549\) −0.0837133 0.510629i −0.00357280 0.0217931i
\(550\) 25.6353 5.64276i 1.09309 0.240608i
\(551\) 13.6261 8.19853i 0.580490 0.349269i
\(552\) −1.48160 0.161133i −0.0630610 0.00685829i
\(553\) 16.3281 24.0821i 0.694341 1.02408i
\(554\) −0.0990459 + 0.604153i −0.00420806 + 0.0256680i
\(555\) −0.00410087 0.0756362i −0.000174072 0.00321058i
\(556\) 21.0690 + 19.9576i 0.893525 + 0.846392i
\(557\) −9.25109 + 8.76309i −0.391981 + 0.371304i −0.858157 0.513388i \(-0.828390\pi\)
0.466175 + 0.884692i \(0.345632\pi\)
\(558\) 0.0935452 1.72534i 0.00396009 0.0730395i
\(559\) −49.8341 10.9693i −2.10776 0.463952i
\(560\) 0.762158 0.256801i 0.0322070 0.0108518i
\(561\) 2.13595 0.719685i 0.0901799 0.0303851i
\(562\) 0.769791 + 0.169444i 0.0324717 + 0.00714756i
\(563\) 0.690763 12.7404i 0.0291122 0.536942i −0.947209 0.320617i \(-0.896110\pi\)
0.976321 0.216326i \(-0.0694074\pi\)
\(564\) −11.4825 + 10.8768i −0.483502 + 0.457997i
\(565\) −0.210527 0.199422i −0.00885694 0.00838974i
\(566\) −2.74388 50.6079i −0.115334 2.12721i
\(567\) 0.621060 3.78830i 0.0260821 0.159094i
\(568\) −0.509195 + 0.751007i −0.0213654 + 0.0315116i
\(569\) 25.8048 + 2.80645i 1.08180 + 0.117652i 0.631612 0.775284i \(-0.282393\pi\)
0.450183 + 0.892937i \(0.351359\pi\)
\(570\) −0.230726 + 0.138823i −0.00966403 + 0.00581466i
\(571\) −25.8605 + 5.69233i −1.08223 + 0.238217i −0.720071 0.693900i \(-0.755891\pi\)
−0.362158 + 0.932117i \(0.617960\pi\)
\(572\) −4.76846 29.0863i −0.199379 1.21616i
\(573\) −22.5258 10.4216i −0.941030 0.435367i
\(574\) −5.16249 18.5936i −0.215478 0.776082i
\(575\) −33.3130 + 25.3239i −1.38925 + 1.05608i
\(576\) 8.63706 0.939337i 0.359877 0.0391390i
\(577\) 20.4783 38.6261i 0.852521 1.60802i 0.0599852 0.998199i \(-0.480895\pi\)
0.792536 0.609826i \(-0.208761\pi\)
\(578\) −12.1591 30.5172i −0.505754 1.26935i
\(579\) 5.16092 18.5879i 0.214480 0.772489i
\(580\) −0.486462 + 0.572707i −0.0201992 + 0.0237804i
\(581\) 20.8167 + 39.2644i 0.863621 + 1.62896i
\(582\) 2.63188 + 3.88173i 0.109095 + 0.160903i
\(583\) 5.11884 2.36823i 0.212001 0.0980820i
\(584\) 1.20777 + 1.42190i 0.0499779 + 0.0588386i
\(585\) 0.110405 0.277096i 0.00456469 0.0114565i
\(586\) −16.8583 12.8154i −0.696410 0.529397i
\(587\) −39.2077 23.5905i −1.61827 0.973684i −0.978787 0.204883i \(-0.934319\pi\)
−0.639488 0.768801i \(-0.720854\pi\)
\(588\) 15.3092 + 5.15826i 0.631340 + 0.212723i
\(589\) 2.07313 0.0854219
\(590\) 0.829545 + 0.196904i 0.0341518 + 0.00810643i
\(591\) 9.69377 0.398748
\(592\) −4.98987 1.68128i −0.205082 0.0691002i
\(593\) 34.5266 + 20.7740i 1.41784 + 0.853085i 0.998500 0.0547459i \(-0.0174349\pi\)
0.419337 + 0.907830i \(0.362262\pi\)
\(594\) 4.18185 + 3.17896i 0.171583 + 0.130434i
\(595\) −0.0676738 + 0.169848i −0.00277436 + 0.00696311i
\(596\) 5.16779 + 6.08399i 0.211681 + 0.249210i
\(597\) −8.68137 + 4.01643i −0.355305 + 0.164382i
\(598\) 51.6264 + 76.1432i 2.11116 + 3.11373i
\(599\) −3.08983 5.82803i −0.126247 0.238127i 0.812329 0.583199i \(-0.198199\pi\)
−0.938576 + 0.345072i \(0.887854\pi\)
\(600\) −0.575722 + 0.677793i −0.0235038 + 0.0276708i
\(601\) −0.216993 + 0.781540i −0.00885135 + 0.0318797i −0.967844 0.251552i \(-0.919059\pi\)
0.958992 + 0.283432i \(0.0914729\pi\)
\(602\) 26.9811 + 67.7173i 1.09967 + 2.75995i
\(603\) 4.25884 8.03303i 0.173433 0.327130i
\(604\) −37.0286 + 4.02710i −1.50667 + 0.163860i
\(605\) 0.185749 0.141202i 0.00755175 0.00574069i
\(606\) −5.80445 20.9057i −0.235789 0.849237i
\(607\) 3.09743 + 1.43302i 0.125721 + 0.0581646i 0.481741 0.876314i \(-0.340005\pi\)
−0.356020 + 0.934478i \(0.615867\pi\)
\(608\) 3.16793 + 19.3235i 0.128477 + 0.783673i
\(609\) 24.5765 5.40970i 0.995890 0.219212i
\(610\) −0.0492140 + 0.0296111i −0.00199262 + 0.00119892i
\(611\) 40.9149 + 4.44976i 1.65524 + 0.180018i
\(612\) −1.01657 + 1.49932i −0.0410923 + 0.0606066i
\(613\) 0.780810 4.76273i 0.0315366 0.192365i −0.966360 0.257194i \(-0.917202\pi\)
0.997896 + 0.0648293i \(0.0206503\pi\)
\(614\) −2.08815 38.5137i −0.0842709 1.55429i
\(615\) 0.0990884 + 0.0938616i 0.00399563 + 0.00378486i
\(616\) −1.28862 + 1.22065i −0.0519202 + 0.0491814i
\(617\) 0.353143 6.51333i 0.0142170 0.262217i −0.982780 0.184779i \(-0.940843\pi\)
0.996997 0.0774382i \(-0.0246741\pi\)
\(618\) 37.3518 + 8.22175i 1.50251 + 0.330727i
\(619\) 14.1915 4.78168i 0.570405 0.192192i −0.0192956 0.999814i \(-0.506142\pi\)
0.589700 + 0.807622i \(0.299246\pi\)
\(620\) −0.0928324 + 0.0312789i −0.00372824 + 0.00125619i
\(621\) −8.17839 1.80020i −0.328188 0.0722396i
\(622\) −2.21329 + 40.8218i −0.0887449 + 1.63680i
\(623\) −12.0621 + 11.4259i −0.483259 + 0.457768i
\(624\) −15.0533 14.2592i −0.602614 0.570826i
\(625\) 1.35103 + 24.9182i 0.0540410 + 0.996728i
\(626\) −8.12895 + 49.5844i −0.324898 + 1.98179i
\(627\) −3.53693 + 5.21658i −0.141251 + 0.208330i
\(628\) 19.9935 + 2.17442i 0.797828 + 0.0867690i
\(629\) 1.02567 0.617127i 0.0408963 0.0246065i
\(630\) −0.416146 + 0.0916006i −0.0165796 + 0.00364945i
\(631\) −2.77696 16.9387i −0.110549 0.674320i −0.982717 0.185114i \(-0.940735\pi\)
0.872168 0.489207i \(-0.162714\pi\)
\(632\) −1.22419 0.566370i −0.0486956 0.0225290i
\(633\) 6.44507 + 23.2130i 0.256168 + 0.922635i
\(634\) 25.4135 19.3188i 1.00930 0.767249i
\(635\) 0.697701 0.0758795i 0.0276874 0.00301119i
\(636\) −2.12325 + 4.00487i −0.0841922 + 0.158803i
\(637\) −15.5595 39.0515i −0.616491 1.54728i
\(638\) −9.21224 + 33.1795i −0.364716 + 1.31359i
\(639\) −3.30065 + 3.88582i −0.130572 + 0.153721i
\(640\) −0.0365759 0.0689895i −0.00144579 0.00272705i
\(641\) 16.6058 + 24.4917i 0.655890 + 0.967365i 0.999600 + 0.0282892i \(0.00900592\pi\)
−0.343710 + 0.939076i \(0.611684\pi\)
\(642\) −32.8034 + 15.1765i −1.29465 + 0.598968i
\(643\) 15.3137 + 18.0287i 0.603915 + 0.710983i 0.976136 0.217161i \(-0.0696796\pi\)
−0.372221 + 0.928144i \(0.621404\pi\)
\(644\) 24.8453 62.3570i 0.979041 2.45721i
\(645\) −0.410449 0.312015i −0.0161614 0.0122856i
\(646\) −3.64611 2.19379i −0.143454 0.0863136i
\(647\) −29.2581 9.85821i −1.15026 0.387566i −0.321353 0.946959i \(-0.604138\pi\)
−0.828902 + 0.559393i \(0.811034\pi\)
\(648\) −0.177968 −0.00699123
\(649\) 19.5571 3.96996i 0.767685 0.155835i
\(650\) 54.8947 2.15315
\(651\) 3.10891 + 1.04751i 0.121848 + 0.0410553i
\(652\) −39.9852 24.0583i −1.56594 0.942195i
\(653\) 1.76866 + 1.34450i 0.0692129 + 0.0526143i 0.639209 0.769033i \(-0.279262\pi\)
−0.569996 + 0.821648i \(0.693055\pi\)
\(654\) 9.40288 23.5994i 0.367682 0.922811i
\(655\) −0.702053 0.826520i −0.0274315 0.0322948i
\(656\) 8.61082 3.98379i 0.336196 0.155541i
\(657\) 5.88285 + 8.67655i 0.229512 + 0.338504i
\(658\) −27.5393 51.9447i −1.07360 2.02502i
\(659\) −1.59708 + 1.88023i −0.0622135 + 0.0732434i −0.792388 0.610017i \(-0.791163\pi\)
0.730175 + 0.683260i \(0.239439\pi\)
\(660\) 0.0796732 0.286957i 0.00310127 0.0111698i
\(661\) −0.498056 1.25003i −0.0193722 0.0486204i 0.918973 0.394322i \(-0.129020\pi\)
−0.938345 + 0.345701i \(0.887641\pi\)
\(662\) 10.1276 19.1026i 0.393619 0.742445i
\(663\) 4.68604 0.509637i 0.181991 0.0197927i
\(664\) 1.64017 1.24682i 0.0636509 0.0483861i
\(665\) −0.136774 0.492616i −0.00530387 0.0191028i
\(666\) 2.53190 + 1.17138i 0.0981091 + 0.0453901i
\(667\) −8.88103 54.1719i −0.343875 2.09754i
\(668\) 7.73822 1.70331i 0.299401 0.0659031i
\(669\) 13.5478 8.15144i 0.523788 0.315153i
\(670\) −1.00330 0.109115i −0.0387608 0.00421549i
\(671\) −0.754431 + 1.11270i −0.0291245 + 0.0429554i
\(672\) −5.01312 + 30.5787i −0.193385 + 1.17960i
\(673\) 0.145785 + 2.68885i 0.00561960 + 0.103647i 0.999997 0.00224227i \(-0.000713736\pi\)
−0.994378 + 0.105890i \(0.966231\pi\)
\(674\) −18.5044 17.5283i −0.712765 0.675167i
\(675\) −3.62779 + 3.43642i −0.139634 + 0.132268i
\(676\) 1.86758 34.4455i 0.0718301 1.32483i
\(677\) 10.7409 + 2.36426i 0.412808 + 0.0908659i 0.416519 0.909127i \(-0.363250\pi\)
−0.00371058 + 0.999993i \(0.501181\pi\)
\(678\) 10.1209 3.41014i 0.388692 0.130965i
\(679\) −8.43829 + 2.84319i −0.323832 + 0.109112i
\(680\) 0.00827791 + 0.00182211i 0.000317443 + 6.98746e-5i
\(681\) −0.693624 + 12.7931i −0.0265797 + 0.490234i
\(682\) −3.25907 + 3.08716i −0.124796 + 0.118213i
\(683\) 3.01998 + 2.86067i 0.115556 + 0.109461i 0.743296 0.668962i \(-0.233261\pi\)
−0.627740 + 0.778423i \(0.716020\pi\)
\(684\) −0.274230 5.05788i −0.0104855 0.193393i
\(685\) 0.00143045 0.00872533i 5.46545e−5 0.000333378i
\(686\) −3.20983 + 4.73414i −0.122552 + 0.180750i
\(687\) 7.01038 + 0.762424i 0.267463 + 0.0290883i
\(688\) −30.7097 + 18.4774i −1.17080 + 0.704446i
\(689\) 11.5195 2.53563i 0.438857 0.0965997i
\(690\) 0.150379 + 0.917274i 0.00572485 + 0.0349200i
\(691\) −9.67050 4.47405i −0.367883 0.170201i 0.227233 0.973840i \(-0.427032\pi\)
−0.595116 + 0.803639i \(0.702894\pi\)
\(692\) −2.05063 7.38571i −0.0779534 0.280763i
\(693\) −7.93990 + 6.03575i −0.301612 + 0.229279i
\(694\) −22.0811 + 2.40146i −0.838187 + 0.0911584i
\(695\) 0.357404 0.674136i 0.0135571 0.0255714i
\(696\) −0.431813 1.08377i −0.0163678 0.0410802i
\(697\) −0.577023 + 2.07825i −0.0218563 + 0.0787193i
\(698\) −39.0627 + 45.9882i −1.47855 + 1.74068i
\(699\) 8.52040 + 16.0712i 0.322271 + 0.607868i
\(700\) −22.4778 33.1523i −0.849581 1.25304i
\(701\) −44.0008 + 20.3569i −1.66189 + 0.768870i −0.662075 + 0.749438i \(0.730324\pi\)
−0.999811 + 0.0194329i \(0.993814\pi\)
\(702\) 7.11190 + 8.37277i 0.268421 + 0.316010i
\(703\) −1.23892 + 3.10945i −0.0467266 + 0.117275i
\(704\) −17.9693 13.6599i −0.677243 0.514827i
\(705\) 0.356318 + 0.214389i 0.0134197 + 0.00807436i
\(706\) −36.7249 12.3741i −1.38216 0.465704i
\(707\) 41.1943 1.54927
\(708\) −10.5820 + 12.0520i −0.397695 + 0.452944i
\(709\) 28.9991 1.08909 0.544543 0.838733i \(-0.316703\pi\)
0.544543 + 0.838733i \(0.316703\pi\)
\(710\) 0.536292 + 0.180698i 0.0201267 + 0.00678147i
\(711\) −6.49431 3.90750i −0.243556 0.146543i
\(712\) 0.613186 + 0.466132i 0.0229801 + 0.0174690i
\(713\) 2.64888 6.64818i 0.0992012 0.248976i
\(714\) −4.35930 5.13217i −0.163143 0.192067i
\(715\) −0.703324 + 0.325392i −0.0263028 + 0.0121690i
\(716\) −8.37603 12.3537i −0.313027 0.461680i
\(717\) −7.19736 13.5757i −0.268790 0.506993i
\(718\) 43.9637 51.7580i 1.64071 1.93159i
\(719\) 1.15819 4.17141i 0.0431931 0.155567i −0.938809 0.344439i \(-0.888069\pi\)
0.982002 + 0.188872i \(0.0604830\pi\)
\(720\) −0.0775454 0.194624i −0.00288995 0.00725322i
\(721\) −34.0139 + 64.1571i −1.26674 + 2.38933i
\(722\) −26.3617 + 2.86701i −0.981081 + 0.106699i
\(723\) 1.48353 1.12775i 0.0551729 0.0419414i
\(724\) −11.9172 42.9218i −0.442898 1.59517i
\(725\) −29.7291 13.7541i −1.10411 0.510816i
\(726\) 1.39024 + 8.48006i 0.0515965 + 0.314725i
\(727\) −17.2171 + 3.78978i −0.638549 + 0.140555i −0.522433 0.852680i \(-0.674975\pi\)
−0.116116 + 0.993236i \(0.537044\pi\)
\(728\) −3.18067 + 1.91374i −0.117883 + 0.0709281i
\(729\) −0.994138 0.108119i −0.0368199 0.00400441i
\(730\) 0.652986 0.963082i 0.0241681 0.0356453i
\(731\) 1.31813 8.04026i 0.0487529 0.297380i
\(732\) −0.0584936 1.07885i −0.00216199 0.0398755i
\(733\) −4.20783 3.98586i −0.155420 0.147221i 0.606039 0.795435i \(-0.292758\pi\)
−0.761458 + 0.648214i \(0.775516\pi\)
\(734\) −45.7971 + 43.3814i −1.69040 + 1.60124i
\(735\) 0.0229952 0.424121i 0.000848190 0.0156439i
\(736\) 66.0150 + 14.5310i 2.43334 + 0.535620i
\(737\) −22.3854 + 7.54251i −0.824575 + 0.277832i
\(738\) −4.76360 + 1.60504i −0.175351 + 0.0590825i
\(739\) 27.1780 + 5.98234i 0.999760 + 0.220064i 0.684556 0.728960i \(-0.259996\pi\)
0.315204 + 0.949024i \(0.397927\pi\)
\(740\) 0.00856271 0.157930i 0.000314771 0.00580562i
\(741\) −9.56909 + 9.06432i −0.351529 + 0.332986i
\(742\) −12.2331 11.5878i −0.449089 0.425400i
\(743\) −0.456334 8.41658i −0.0167413 0.308775i −0.994897 0.100899i \(-0.967828\pi\)
0.978155 0.207875i \(-0.0666548\pi\)
\(744\) 0.0246052 0.150085i 0.000902071 0.00550239i
\(745\) 0.117781 0.173714i 0.00431515 0.00636437i
\(746\) −23.2225 2.52560i −0.850236 0.0924688i
\(747\) 9.91954 5.96839i 0.362937 0.218372i
\(748\) 4.59624 1.01171i 0.168055 0.0369917i
\(749\) −11.1023 67.7211i −0.405670 2.47448i
\(750\) 1.00709 + 0.465929i 0.0367737 + 0.0170133i
\(751\) −8.12010 29.2460i −0.296307 1.06720i −0.950462 0.310840i \(-0.899390\pi\)
0.654155 0.756360i \(-0.273024\pi\)
\(752\) 23.0126 17.4937i 0.839182 0.637930i
\(753\) −11.1489 + 1.21252i −0.406289 + 0.0441866i
\(754\) −33.7316 + 63.6246i −1.22843 + 2.31707i
\(755\) 0.362476 + 0.909746i 0.0131918 + 0.0331090i
\(756\) 2.14441 7.72347i 0.0779914 0.280900i
\(757\) 5.40399 6.36206i 0.196411 0.231233i −0.655136 0.755511i \(-0.727389\pi\)
0.851547 + 0.524278i \(0.175665\pi\)
\(758\) −11.4355 21.5696i −0.415355 0.783443i
\(759\) 12.2095 + 18.0077i 0.443176 + 0.653636i
\(760\) −0.0215107 + 0.00995192i −0.000780276 + 0.000360994i
\(761\) 10.6525 + 12.5411i 0.386152 + 0.454613i 0.920553 0.390618i \(-0.127739\pi\)
−0.534401 + 0.845231i \(0.679463\pi\)
\(762\) −9.56717 + 24.0118i −0.346582 + 0.869855i
\(763\) 38.3979 + 29.1893i 1.39010 + 1.05672i
\(764\) −44.4060 26.7182i −1.60655 0.966630i
\(765\) 0.0451339 + 0.0152074i 0.00163182 + 0.000549824i
\(766\) 33.8643 1.22357
\(767\) 41.7285 + 0.683983i 1.50673 + 0.0246972i
\(768\) −14.5001 −0.523228
\(769\) −12.8432 4.32739i −0.463139 0.156050i 0.0780523 0.996949i \(-0.475130\pi\)
−0.541191 + 0.840900i \(0.682026\pi\)
\(770\) 0.948584 + 0.570744i 0.0341846 + 0.0205682i
\(771\) 16.6711 + 12.6730i 0.600394 + 0.456408i
\(772\) 14.9093