Properties

Label 441.2.z.a.16.26
Level $441$
Weight $2$
Character 441.16
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 16.26
Character \(\chi\) \(=\) 441.16
Dual form 441.2.z.a.193.26

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.216388 - 0.0326152i) q^{2} +(1.18684 + 1.26151i) q^{3} +(-1.86539 - 0.575395i) q^{4} +(-1.19731 - 0.576594i) q^{5} +(-0.215674 - 0.311684i) q^{6} +(0.0273616 - 2.64561i) q^{7} +(0.779202 + 0.375244i) q^{8} +(-0.182814 + 2.99442i) q^{9} +O(q^{10})\) \(q+(-0.216388 - 0.0326152i) q^{2} +(1.18684 + 1.26151i) q^{3} +(-1.86539 - 0.575395i) q^{4} +(-1.19731 - 0.576594i) q^{5} +(-0.215674 - 0.311684i) q^{6} +(0.0273616 - 2.64561i) q^{7} +(0.779202 + 0.375244i) q^{8} +(-0.182814 + 2.99442i) q^{9} +(0.240278 + 0.163818i) q^{10} +(2.70091 - 3.38684i) q^{11} +(-1.48805 - 3.03611i) q^{12} +(2.80089 + 0.422166i) q^{13} +(-0.0922078 + 0.571585i) q^{14} +(-0.693638 - 2.19474i) q^{15} +(3.06945 + 2.09272i) q^{16} +(-0.953806 + 0.294210i) q^{17} +(0.137223 - 0.641994i) q^{18} +(3.59208 - 6.22166i) q^{19} +(1.90168 + 1.76450i) q^{20} +(3.36994 - 3.10540i) q^{21} +(-0.694907 + 0.644779i) q^{22} +(-0.999505 - 4.37912i) q^{23} +(0.451415 + 1.42833i) q^{24} +(-2.01636 - 2.52843i) q^{25} +(-0.592309 - 0.182703i) q^{26} +(-3.99447 + 3.32329i) q^{27} +(-1.57331 + 4.91934i) q^{28} +(5.99192 + 5.55969i) q^{29} +(0.0785128 + 0.497539i) q^{30} +(2.40134 - 4.15924i) q^{31} +(-1.86390 - 1.72944i) q^{32} +(7.47808 - 0.612411i) q^{33} +(0.215988 - 0.0325549i) q^{34} +(-1.55820 + 3.15184i) q^{35} +(2.06400 - 5.48057i) q^{36} +(-1.17564 - 1.09083i) q^{37} +(-0.980202 + 1.22913i) q^{38} +(2.79164 + 4.03439i) q^{39} +(-0.716583 - 0.898566i) q^{40} +(0.615705 + 8.21601i) q^{41} +(-0.830497 + 0.562060i) q^{42} +(0.324880 - 4.33522i) q^{43} +(-6.98701 + 4.76367i) q^{44} +(1.94545 - 3.47985i) q^{45} +(0.0734548 + 0.980186i) q^{46} +(-1.87624 - 0.282797i) q^{47} +(1.00297 + 6.35587i) q^{48} +(-6.99850 - 0.144776i) q^{49} +(0.353850 + 0.612886i) q^{50} +(-1.50317 - 0.854055i) q^{51} +(-4.98183 - 2.39912i) q^{52} +(-2.03138 + 1.88484i) q^{53} +(0.972744 - 0.588838i) q^{54} +(-5.18666 + 2.49776i) q^{55} +(1.01407 - 2.05120i) q^{56} +(12.1119 - 2.85268i) q^{57} +(-1.11525 - 1.39848i) q^{58} +(-0.904459 + 12.0692i) q^{59} +(0.0310570 + 4.49316i) q^{60} +(2.93934 - 0.906665i) q^{61} +(-0.655275 + 0.821689i) q^{62} +(7.91708 + 0.565588i) q^{63} +(-4.28557 - 5.37394i) q^{64} +(-3.11012 - 2.12044i) q^{65} +(-1.63814 - 0.111381i) q^{66} +(-3.23016 + 5.59479i) q^{67} +1.94850 q^{68} +(4.33805 - 6.45820i) q^{69} +(0.439974 - 0.631198i) q^{70} +(-2.10648 - 9.22908i) q^{71} +(-1.26609 + 2.26466i) q^{72} +(2.38757 - 6.08344i) q^{73} +(0.218816 + 0.274386i) q^{74} +(0.796546 - 5.54450i) q^{75} +(-10.2805 + 9.53893i) q^{76} +(-8.88635 - 7.23823i) q^{77} +(-0.472495 - 0.964044i) q^{78} +(-5.23028 - 9.05911i) q^{79} +(-2.46844 - 4.27546i) q^{80} +(-8.93316 - 1.09485i) q^{81} +(0.134736 - 1.79793i) q^{82} +(10.6860 - 1.61065i) q^{83} +(-8.07307 + 3.85373i) q^{84} +(1.31164 + 0.197698i) q^{85} +(-0.211694 + 0.927493i) q^{86} +(0.0978562 + 14.1573i) q^{87} +(3.37545 - 1.62553i) q^{88} +(-10.6163 + 1.60015i) q^{89} +(-0.534468 + 0.689545i) q^{90} +(1.19352 - 7.39851i) q^{91} +(-0.655261 + 8.74385i) q^{92} +(8.09694 - 1.90705i) q^{93} +(0.396771 + 0.122388i) q^{94} +(-7.88820 + 5.37809i) q^{95} +(-0.0304400 - 4.40390i) q^{96} +(2.35316 - 4.07579i) q^{97} +(1.50967 + 0.259585i) q^{98} +(9.64786 + 8.70684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{10}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.216388 0.0326152i −0.153009 0.0230624i 0.0720909 0.997398i \(-0.477033\pi\)
−0.225100 + 0.974336i \(0.572271\pi\)
\(3\) 1.18684 + 1.26151i 0.685223 + 0.728333i
\(4\) −1.86539 0.575395i −0.932693 0.287698i
\(5\) −1.19731 0.576594i −0.535453 0.257861i 0.146558 0.989202i \(-0.453180\pi\)
−0.682012 + 0.731341i \(0.738895\pi\)
\(6\) −0.215674 0.311684i −0.0880484 0.127245i
\(7\) 0.0273616 2.64561i 0.0103417 0.999947i
\(8\) 0.779202 + 0.375244i 0.275489 + 0.132669i
\(9\) −0.182814 + 2.99442i −0.0609382 + 0.998142i
\(10\) 0.240278 + 0.163818i 0.0759824 + 0.0518040i
\(11\) 2.70091 3.38684i 0.814356 1.02117i −0.184906 0.982756i \(-0.559198\pi\)
0.999262 0.0384137i \(-0.0122305\pi\)
\(12\) −1.48805 3.03611i −0.429563 0.876448i
\(13\) 2.80089 + 0.422166i 0.776827 + 0.117088i 0.525476 0.850808i \(-0.323887\pi\)
0.251351 + 0.967896i \(0.419125\pi\)
\(14\) −0.0922078 + 0.571585i −0.0246436 + 0.152763i
\(15\) −0.693638 2.19474i −0.179097 0.566681i
\(16\) 3.06945 + 2.09272i 0.767363 + 0.523179i
\(17\) −0.953806 + 0.294210i −0.231332 + 0.0713564i −0.408254 0.912868i \(-0.633862\pi\)
0.176922 + 0.984225i \(0.443386\pi\)
\(18\) 0.137223 0.641994i 0.0323437 0.151320i
\(19\) 3.59208 6.22166i 0.824079 1.42735i −0.0785422 0.996911i \(-0.525027\pi\)
0.902621 0.430436i \(-0.141640\pi\)
\(20\) 1.90168 + 1.76450i 0.425228 + 0.394554i
\(21\) 3.36994 3.10540i 0.735381 0.677654i
\(22\) −0.694907 + 0.644779i −0.148155 + 0.137467i
\(23\) −0.999505 4.37912i −0.208411 0.913109i −0.965624 0.259941i \(-0.916297\pi\)
0.757213 0.653168i \(-0.226560\pi\)
\(24\) 0.451415 + 1.42833i 0.0921447 + 0.291556i
\(25\) −2.01636 2.52843i −0.403272 0.505687i
\(26\) −0.592309 0.182703i −0.116161 0.0358310i
\(27\) −3.99447 + 3.32329i −0.768736 + 0.639567i
\(28\) −1.57331 + 4.91934i −0.297328 + 0.929668i
\(29\) 5.99192 + 5.55969i 1.11267 + 1.03241i 0.999245 + 0.0388621i \(0.0123733\pi\)
0.113427 + 0.993546i \(0.463817\pi\)
\(30\) 0.0785128 + 0.497539i 0.0143344 + 0.0908378i
\(31\) 2.40134 4.15924i 0.431293 0.747022i −0.565692 0.824617i \(-0.691391\pi\)
0.996985 + 0.0775947i \(0.0247240\pi\)
\(32\) −1.86390 1.72944i −0.329493 0.305725i
\(33\) 7.47808 0.612411i 1.30177 0.106607i
\(34\) 0.215988 0.0325549i 0.0370416 0.00558312i
\(35\) −1.55820 + 3.15184i −0.263384 + 0.532758i
\(36\) 2.06400 5.48057i 0.344000 0.913428i
\(37\) −1.17564 1.09083i −0.193274 0.179332i 0.577600 0.816320i \(-0.303989\pi\)
−0.770873 + 0.636988i \(0.780180\pi\)
\(38\) −0.980202 + 1.22913i −0.159010 + 0.199392i
\(39\) 2.79164 + 4.03439i 0.447021 + 0.646020i
\(40\) −0.716583 0.898566i −0.113302 0.142076i
\(41\) 0.615705 + 8.21601i 0.0961569 + 1.28312i 0.811500 + 0.584352i \(0.198651\pi\)
−0.715344 + 0.698773i \(0.753730\pi\)
\(42\) −0.830497 + 0.562060i −0.128148 + 0.0867277i
\(43\) 0.324880 4.33522i 0.0495437 0.661115i −0.916051 0.401062i \(-0.868641\pi\)
0.965594 0.260053i \(-0.0837399\pi\)
\(44\) −6.98701 + 4.76367i −1.05333 + 0.718150i
\(45\) 1.94545 3.47985i 0.290011 0.518745i
\(46\) 0.0734548 + 0.980186i 0.0108303 + 0.144521i
\(47\) −1.87624 0.282797i −0.273677 0.0412502i 0.0107697 0.999942i \(-0.496572\pi\)
−0.284447 + 0.958692i \(0.591810\pi\)
\(48\) 1.00297 + 6.35587i 0.144766 + 0.917390i
\(49\) −6.99850 0.144776i −0.999786 0.0206823i
\(50\) 0.353850 + 0.612886i 0.0500419 + 0.0866752i
\(51\) −1.50317 0.854055i −0.210485 0.119592i
\(52\) −4.98183 2.39912i −0.690855 0.332698i
\(53\) −2.03138 + 1.88484i −0.279031 + 0.258903i −0.807256 0.590201i \(-0.799048\pi\)
0.528225 + 0.849105i \(0.322858\pi\)
\(54\) 0.972744 0.588838i 0.132374 0.0801307i
\(55\) −5.18666 + 2.49776i −0.699369 + 0.336798i
\(56\) 1.01407 2.05120i 0.135511 0.274103i
\(57\) 12.1119 2.85268i 1.60426 0.377847i
\(58\) −1.11525 1.39848i −0.146439 0.183629i
\(59\) −0.904459 + 12.0692i −0.117751 + 1.57127i 0.555284 + 0.831661i \(0.312610\pi\)
−0.673034 + 0.739611i \(0.735009\pi\)
\(60\) 0.0310570 + 4.49316i 0.00400944 + 0.580065i
\(61\) 2.93934 0.906665i 0.376343 0.116087i −0.100812 0.994905i \(-0.532144\pi\)
0.477155 + 0.878819i \(0.341668\pi\)
\(62\) −0.655275 + 0.821689i −0.0832201 + 0.104355i
\(63\) 7.91708 + 0.565588i 0.997458 + 0.0712574i
\(64\) −4.28557 5.37394i −0.535697 0.671742i
\(65\) −3.11012 2.12044i −0.385762 0.263008i
\(66\) −1.63814 0.111381i −0.201641 0.0137101i
\(67\) −3.23016 + 5.59479i −0.394626 + 0.683513i −0.993053 0.117664i \(-0.962459\pi\)
0.598427 + 0.801177i \(0.295793\pi\)
\(68\) 1.94850 0.236291
\(69\) 4.33805 6.45820i 0.522239 0.777476i
\(70\) 0.439974 0.631198i 0.0525870 0.0754426i
\(71\) −2.10648 9.22908i −0.249993 1.09529i −0.931575 0.363549i \(-0.881565\pi\)
0.681582 0.731742i \(-0.261292\pi\)
\(72\) −1.26609 + 2.26466i −0.149210 + 0.266893i
\(73\) 2.38757 6.08344i 0.279444 0.712012i −0.720386 0.693574i \(-0.756035\pi\)
0.999830 0.0184388i \(-0.00586957\pi\)
\(74\) 0.218816 + 0.274386i 0.0254368 + 0.0318968i
\(75\) 0.796546 5.54450i 0.0919772 0.640224i
\(76\) −10.2805 + 9.53893i −1.17926 + 1.09419i
\(77\) −8.88635 7.23823i −1.01269 0.824873i
\(78\) −0.472495 0.964044i −0.0534996 0.109156i
\(79\) −5.23028 9.05911i −0.588452 1.01923i −0.994435 0.105349i \(-0.966404\pi\)
0.405983 0.913881i \(-0.366929\pi\)
\(80\) −2.46844 4.27546i −0.275980 0.478011i
\(81\) −8.93316 1.09485i −0.992573 0.121650i
\(82\) 0.134736 1.79793i 0.0148791 0.198548i
\(83\) 10.6860 1.61065i 1.17294 0.176792i 0.466469 0.884538i \(-0.345526\pi\)
0.706467 + 0.707746i \(0.250288\pi\)
\(84\) −8.07307 + 3.85373i −0.880844 + 0.420476i
\(85\) 1.31164 + 0.197698i 0.142267 + 0.0214434i
\(86\) −0.211694 + 0.927493i −0.0228276 + 0.100014i
\(87\) 0.0978562 + 14.1573i 0.0104913 + 1.51783i
\(88\) 3.37545 1.62553i 0.359824 0.173282i
\(89\) −10.6163 + 1.60015i −1.12533 + 0.169616i −0.685226 0.728331i \(-0.740296\pi\)
−0.440104 + 0.897947i \(0.645058\pi\)
\(90\) −0.534468 + 0.689545i −0.0563379 + 0.0726844i
\(91\) 1.19352 7.39851i 0.125115 0.775575i
\(92\) −0.655261 + 8.74385i −0.0683157 + 0.911610i
\(93\) 8.09694 1.90705i 0.839613 0.197752i
\(94\) 0.396771 + 0.122388i 0.0409238 + 0.0126233i
\(95\) −7.88820 + 5.37809i −0.809313 + 0.551780i
\(96\) −0.0304400 4.40390i −0.00310676 0.449471i
\(97\) 2.35316 4.07579i 0.238927 0.413833i −0.721480 0.692435i \(-0.756538\pi\)
0.960407 + 0.278602i \(0.0898711\pi\)
\(98\) 1.50967 + 0.259585i 0.152500 + 0.0262221i
\(99\) 9.64786 + 8.70684i 0.969647 + 0.875071i
\(100\) 2.30644 + 5.87671i 0.230644 + 0.587671i
\(101\) 2.21114 + 1.06483i 0.220016 + 0.105954i 0.540646 0.841251i \(-0.318180\pi\)
−0.320629 + 0.947205i \(0.603894\pi\)
\(102\) 0.297411 + 0.233833i 0.0294481 + 0.0231529i
\(103\) 8.92052 + 4.29590i 0.878965 + 0.423287i 0.818246 0.574868i \(-0.194947\pi\)
0.0607185 + 0.998155i \(0.480661\pi\)
\(104\) 2.02404 + 1.37997i 0.198474 + 0.135317i
\(105\) −5.82542 + 1.77504i −0.568503 + 0.173227i
\(106\) 0.501040 0.341604i 0.0486653 0.0331795i
\(107\) −5.72229 + 0.862497i −0.553195 + 0.0833807i −0.419690 0.907667i \(-0.637861\pi\)
−0.133505 + 0.991048i \(0.542623\pi\)
\(108\) 9.36343 3.90081i 0.900996 0.375356i
\(109\) 8.76790 + 1.32155i 0.839812 + 0.126581i 0.554843 0.831955i \(-0.312778\pi\)
0.284969 + 0.958537i \(0.408017\pi\)
\(110\) 1.20380 0.371322i 0.114777 0.0354041i
\(111\) −0.0191998 2.77772i −0.00182236 0.263650i
\(112\) 5.62050 8.06331i 0.531087 0.761911i
\(113\) −6.87135 + 17.5079i −0.646402 + 1.64701i 0.110813 + 0.993841i \(0.464654\pi\)
−0.757216 + 0.653165i \(0.773441\pi\)
\(114\) −2.71391 + 0.222253i −0.254181 + 0.0208159i
\(115\) −1.32826 + 5.81947i −0.123861 + 0.542668i
\(116\) −7.97822 13.8187i −0.740759 1.28303i
\(117\) −1.77619 + 8.30987i −0.164209 + 0.768248i
\(118\) 0.589353 2.58212i 0.0542543 0.237704i
\(119\) 0.752267 + 2.53145i 0.0689602 + 0.232057i
\(120\) 0.283080 1.97043i 0.0258416 0.179875i
\(121\) −1.72801 7.57090i −0.157092 0.688263i
\(122\) −0.665608 + 0.100324i −0.0602613 + 0.00908293i
\(123\) −9.63383 + 10.5278i −0.868653 + 0.949261i
\(124\) −6.87264 + 6.37687i −0.617181 + 0.572660i
\(125\) 2.43488 + 10.6679i 0.217783 + 0.954167i
\(126\) −1.69471 0.380603i −0.150977 0.0339069i
\(127\) −3.13207 + 13.7225i −0.277927 + 1.21768i 0.622483 + 0.782633i \(0.286124\pi\)
−0.900410 + 0.435043i \(0.856733\pi\)
\(128\) 3.29472 + 5.70663i 0.291215 + 0.504400i
\(129\) 5.85451 4.73538i 0.515461 0.416927i
\(130\) 0.603832 + 0.560275i 0.0529596 + 0.0491393i
\(131\) −1.27319 + 0.613138i −0.111240 + 0.0535702i −0.488676 0.872465i \(-0.662520\pi\)
0.377436 + 0.926036i \(0.376806\pi\)
\(132\) −14.3019 3.16047i −1.24482 0.275084i
\(133\) −16.3618 9.67347i −1.41875 0.838796i
\(134\) 0.881442 1.10529i 0.0761450 0.0954828i
\(135\) 6.69880 1.67582i 0.576541 0.144231i
\(136\) −0.853607 0.128661i −0.0731962 0.0110326i
\(137\) 3.29861 1.58853i 0.281820 0.135717i −0.287635 0.957740i \(-0.592869\pi\)
0.569454 + 0.822023i \(0.307155\pi\)
\(138\) −1.14934 + 1.25599i −0.0978380 + 0.106917i
\(139\) 1.12325 + 14.9888i 0.0952730 + 1.27133i 0.815976 + 0.578086i \(0.196200\pi\)
−0.720703 + 0.693244i \(0.756181\pi\)
\(140\) 4.72020 4.98281i 0.398930 0.421125i
\(141\) −1.87004 2.70253i −0.157486 0.227594i
\(142\) 0.154808 + 2.06576i 0.0129912 + 0.173355i
\(143\) 8.99477 8.34592i 0.752180 0.697921i
\(144\) −6.82762 + 8.80866i −0.568968 + 0.734055i
\(145\) −3.96850 10.1116i −0.329566 0.839721i
\(146\) −0.715054 + 1.23851i −0.0591783 + 0.102500i
\(147\) −8.12348 9.00051i −0.670013 0.742349i
\(148\) 1.56536 + 2.71128i 0.128672 + 0.222866i
\(149\) −9.95997 + 12.4894i −0.815952 + 1.02317i 0.183243 + 0.983068i \(0.441340\pi\)
−0.999195 + 0.0401044i \(0.987231\pi\)
\(150\) −0.353198 + 1.17378i −0.0288385 + 0.0958390i
\(151\) 2.90858 + 12.7433i 0.236697 + 1.03704i 0.943953 + 0.330080i \(0.107076\pi\)
−0.707256 + 0.706958i \(0.750067\pi\)
\(152\) 5.13359 3.50002i 0.416389 0.283889i
\(153\) −0.706620 2.90988i −0.0571269 0.235250i
\(154\) 1.68682 + 1.85609i 0.135928 + 0.149568i
\(155\) −5.27335 + 3.59531i −0.423565 + 0.288782i
\(156\) −2.88612 9.13200i −0.231075 0.731145i
\(157\) 1.70270 22.7209i 0.135890 1.81333i −0.347235 0.937778i \(-0.612880\pi\)
0.483126 0.875551i \(-0.339501\pi\)
\(158\) 0.836304 + 2.13087i 0.0665327 + 0.169523i
\(159\) −4.78868 0.325593i −0.379767 0.0258212i
\(160\) 1.23447 + 3.14539i 0.0975938 + 0.248665i
\(161\) −11.6128 + 2.52448i −0.915215 + 0.198957i
\(162\) 1.89732 + 0.528269i 0.149067 + 0.0415047i
\(163\) −0.606944 + 8.09910i −0.0475395 + 0.634370i 0.921645 + 0.388034i \(0.126846\pi\)
−0.969184 + 0.246336i \(0.920773\pi\)
\(164\) 3.57893 15.6803i 0.279467 1.22443i
\(165\) −9.30670 3.57857i −0.724526 0.278592i
\(166\) −2.36484 −0.183547
\(167\) 16.7582 5.16923i 1.29679 0.400007i 0.431880 0.901931i \(-0.357851\pi\)
0.864912 + 0.501924i \(0.167374\pi\)
\(168\) 3.79114 1.15519i 0.292493 0.0891246i
\(169\) −4.75569 1.46694i −0.365822 0.112841i
\(170\) −0.277375 0.0855589i −0.0212737 0.00656207i
\(171\) 17.9736 + 11.8936i 1.37448 + 0.909527i
\(172\) −3.10049 + 7.89993i −0.236410 + 0.602364i
\(173\) 14.0000 12.9901i 1.06440 0.987619i 0.0644531 0.997921i \(-0.479470\pi\)
0.999947 + 0.0103019i \(0.00327924\pi\)
\(174\) 0.440570 3.06667i 0.0333995 0.232483i
\(175\) −6.74442 + 5.26531i −0.509830 + 0.398020i
\(176\) 15.3780 4.74349i 1.15916 0.357554i
\(177\) −16.2988 + 13.1832i −1.22510 + 0.990911i
\(178\) 2.34943 0.176098
\(179\) 8.19405 2.52753i 0.612452 0.188916i 0.0270160 0.999635i \(-0.491399\pi\)
0.585436 + 0.810719i \(0.300923\pi\)
\(180\) −5.63131 + 5.37185i −0.419733 + 0.400394i
\(181\) 15.5482 + 19.4969i 1.15569 + 1.44919i 0.871481 + 0.490430i \(0.163160\pi\)
0.284211 + 0.958762i \(0.408268\pi\)
\(182\) −0.499568 + 1.56202i −0.0370304 + 0.115785i
\(183\) 4.63229 + 2.63193i 0.342429 + 0.194558i
\(184\) 0.864420 3.78727i 0.0637259 0.279201i
\(185\) 0.778635 + 1.98393i 0.0572464 + 0.145861i
\(186\) −1.81428 + 0.148579i −0.133029 + 0.0108943i
\(187\) −1.57970 + 4.02502i −0.115519 + 0.294339i
\(188\) 3.33718 + 1.60710i 0.243389 + 0.117210i
\(189\) 8.68282 + 10.6587i 0.631582 + 0.775309i
\(190\) 1.88232 0.906477i 0.136558 0.0657627i
\(191\) −0.191188 2.55123i −0.0138339 0.184601i −0.999840 0.0178910i \(-0.994305\pi\)
0.986006 0.166710i \(-0.0533142\pi\)
\(192\) 1.69298 11.7843i 0.122180 0.850459i
\(193\) 2.28054 1.55485i 0.164157 0.111920i −0.478455 0.878112i \(-0.658803\pi\)
0.642612 + 0.766192i \(0.277851\pi\)
\(194\) −0.642127 + 0.805202i −0.0461020 + 0.0578101i
\(195\) −1.01626 6.44007i −0.0727757 0.461183i
\(196\) 12.9716 + 4.29697i 0.926543 + 0.306926i
\(197\) 7.46059 0.531545 0.265773 0.964036i \(-0.414373\pi\)
0.265773 + 0.964036i \(0.414373\pi\)
\(198\) −1.80370 2.19872i −0.128184 0.156256i
\(199\) −1.17741 15.7114i −0.0834641 1.11375i −0.868959 0.494884i \(-0.835211\pi\)
0.785495 0.618868i \(-0.212408\pi\)
\(200\) −0.622371 2.72678i −0.0440083 0.192813i
\(201\) −10.8916 + 2.56526i −0.768232 + 0.180940i
\(202\) −0.443734 0.302532i −0.0312210 0.0212861i
\(203\) 14.8727 15.7002i 1.04386 1.10194i
\(204\) 2.31256 + 2.45806i 0.161912 + 0.172098i
\(205\) 4.00011 10.1921i 0.279380 0.711849i
\(206\) −1.79018 1.22052i −0.124728 0.0850379i
\(207\) 13.2957 2.19238i 0.924112 0.152381i
\(208\) 7.71372 + 7.15729i 0.534850 + 0.496268i
\(209\) −11.3699 28.9699i −0.786470 2.00389i
\(210\) 1.31844 0.194101i 0.0909812 0.0133942i
\(211\) −3.61136 + 9.20160i −0.248616 + 0.633464i −0.999641 0.0268106i \(-0.991465\pi\)
0.751024 + 0.660275i \(0.229560\pi\)
\(212\) 4.87384 2.34712i 0.334737 0.161201i
\(213\) 9.14252 13.6108i 0.626435 0.932597i
\(214\) 1.26637 0.0865669
\(215\) −2.88865 + 5.00328i −0.197004 + 0.341221i
\(216\) −4.35954 + 1.09061i −0.296629 + 0.0742066i
\(217\) −10.9380 6.46681i −0.742522 0.438996i
\(218\) −1.85416 0.571934i −0.125580 0.0387362i
\(219\) 10.5080 4.20813i 0.710064 0.284359i
\(220\) 11.1123 1.67491i 0.749193 0.112923i
\(221\) −2.79571 + 0.421385i −0.188060 + 0.0283455i
\(222\) −0.0864414 + 0.601691i −0.00580157 + 0.0403829i
\(223\) −1.20221 0.370831i −0.0805056 0.0248327i 0.254241 0.967141i \(-0.418174\pi\)
−0.334746 + 0.942308i \(0.608651\pi\)
\(224\) −4.62643 + 4.88382i −0.309116 + 0.326314i
\(225\) 7.93982 5.57560i 0.529321 0.371707i
\(226\) 2.05790 3.56439i 0.136890 0.237100i
\(227\) −16.3566 −1.08563 −0.542814 0.839853i \(-0.682641\pi\)
−0.542814 + 0.839853i \(0.682641\pi\)
\(228\) −24.2348 1.64778i −1.60499 0.109127i
\(229\) 12.5126 6.02575i 0.826856 0.398193i 0.0279207 0.999610i \(-0.491111\pi\)
0.798935 + 0.601417i \(0.205397\pi\)
\(230\) 0.477222 1.21594i 0.0314671 0.0801768i
\(231\) −1.41559 19.8008i −0.0931389 1.30280i
\(232\) 2.58268 + 6.58055i 0.169561 + 0.432034i
\(233\) −8.63933 8.01612i −0.565981 0.525154i 0.344455 0.938803i \(-0.388064\pi\)
−0.910436 + 0.413649i \(0.864254\pi\)
\(234\) 0.655374 1.74022i 0.0428431 0.113762i
\(235\) 2.08338 + 1.42042i 0.135905 + 0.0926582i
\(236\) 8.63171 21.9932i 0.561877 1.43164i
\(237\) 5.22064 17.3498i 0.339117 1.12699i
\(238\) −0.0802178 0.572310i −0.00519975 0.0370973i
\(239\) 3.19214 + 2.17636i 0.206482 + 0.140777i 0.662146 0.749375i \(-0.269646\pi\)
−0.455664 + 0.890152i \(0.650598\pi\)
\(240\) 2.46389 8.18825i 0.159043 0.528549i
\(241\) 6.22991 + 27.2950i 0.401303 + 1.75823i 0.622132 + 0.782913i \(0.286267\pi\)
−0.220828 + 0.975313i \(0.570876\pi\)
\(242\) 0.126993 + 1.69461i 0.00816344 + 0.108934i
\(243\) −9.22108 12.5687i −0.591533 0.806281i
\(244\) −6.00469 −0.384411
\(245\) 8.29590 + 4.20864i 0.530006 + 0.268880i
\(246\) 2.42801 1.96388i 0.154804 0.125213i
\(247\) 12.6876 15.9097i 0.807292 1.01231i
\(248\) 3.43186 2.33980i 0.217923 0.148578i
\(249\) 14.7144 + 11.5689i 0.932486 + 0.733146i
\(250\) −0.178942 2.38782i −0.0113173 0.151019i
\(251\) −2.80551 + 1.35106i −0.177082 + 0.0852782i −0.520325 0.853969i \(-0.674189\pi\)
0.343242 + 0.939247i \(0.388475\pi\)
\(252\) −14.4430 5.61049i −0.909821 0.353428i
\(253\) −17.5309 8.44245i −1.10216 0.530772i
\(254\) 1.12531 2.86723i 0.0706079 0.179906i
\(255\) 1.30731 + 1.88928i 0.0818671 + 0.118312i
\(256\) 4.49555 + 11.4545i 0.280972 + 0.715904i
\(257\) 1.09827 4.81183i 0.0685081 0.300153i −0.929053 0.369945i \(-0.879376\pi\)
0.997562 + 0.0697919i \(0.0222335\pi\)
\(258\) −1.42129 + 0.833733i −0.0884856 + 0.0519059i
\(259\) −2.91808 + 3.08043i −0.181321 + 0.191409i
\(260\) 4.58147 + 5.74499i 0.284131 + 0.356289i
\(261\) −17.7435 + 16.9260i −1.09829 + 1.04769i
\(262\) 0.295501 0.0911501i 0.0182561 0.00563127i
\(263\) 6.67337 0.411498 0.205749 0.978605i \(-0.434037\pi\)
0.205749 + 0.978605i \(0.434037\pi\)
\(264\) 6.05674 + 2.32891i 0.372767 + 0.143335i
\(265\) 3.51898 1.08546i 0.216169 0.0666794i
\(266\) 3.22499 + 2.62686i 0.197737 + 0.161063i
\(267\) −14.6185 11.4935i −0.894639 0.703390i
\(268\) 9.24471 8.57783i 0.564710 0.523975i
\(269\) 6.30732 16.0708i 0.384564 0.979853i −0.599234 0.800574i \(-0.704528\pi\)
0.983798 0.179279i \(-0.0573766\pi\)
\(270\) −1.50420 + 0.144143i −0.0915425 + 0.00877228i
\(271\) 10.1022 + 3.11612i 0.613666 + 0.189291i 0.585980 0.810326i \(-0.300710\pi\)
0.0276864 + 0.999617i \(0.491186\pi\)
\(272\) −3.54336 1.09298i −0.214848 0.0662717i
\(273\) 10.7498 7.27522i 0.650608 0.440316i
\(274\) −0.765590 + 0.236153i −0.0462510 + 0.0142665i
\(275\) −14.0094 −0.844798
\(276\) −11.8081 + 9.55095i −0.710767 + 0.574900i
\(277\) −1.69694 + 7.43478i −0.101959 + 0.446713i 0.898018 + 0.439959i \(0.145007\pi\)
−0.999977 + 0.00675393i \(0.997850\pi\)
\(278\) 0.245803 3.28002i 0.0147423 0.196722i
\(279\) 12.0155 + 7.95100i 0.719352 + 0.476014i
\(280\) −2.39686 + 1.87121i −0.143240 + 0.111826i
\(281\) 8.86885 + 22.5975i 0.529072 + 1.34805i 0.906575 + 0.422044i \(0.138687\pi\)
−0.377504 + 0.926008i \(0.623217\pi\)
\(282\) 0.316511 + 0.645786i 0.0188480 + 0.0384560i
\(283\) −0.668865 1.70424i −0.0397599 0.101307i 0.909615 0.415453i \(-0.136377\pi\)
−0.949375 + 0.314146i \(0.898282\pi\)
\(284\) −1.38098 + 18.4279i −0.0819459 + 1.09349i
\(285\) −16.1466 3.56811i −0.956439 0.211357i
\(286\) −2.21856 + 1.51259i −0.131186 + 0.0894413i
\(287\) 21.7532 1.40411i 1.28405 0.0828821i
\(288\) 5.51943 5.26513i 0.325236 0.310251i
\(289\) −13.2229 + 9.01520i −0.777816 + 0.530306i
\(290\) 0.528944 + 2.31746i 0.0310607 + 0.136086i
\(291\) 7.93447 1.86878i 0.465127 0.109550i
\(292\) −7.95413 + 9.97416i −0.465480 + 0.583693i
\(293\) −10.2224 17.7057i −0.597199 1.03438i −0.993233 0.116143i \(-0.962947\pi\)
0.396034 0.918236i \(-0.370386\pi\)
\(294\) 1.46427 + 2.21255i 0.0853978 + 0.129038i
\(295\) 8.04193 13.9290i 0.468220 0.810980i
\(296\) −0.506730 1.29113i −0.0294531 0.0750453i
\(297\) 0.466717 + 22.5045i 0.0270816 + 1.30584i
\(298\) 2.56256 2.37771i 0.148445 0.137737i
\(299\) −0.950788 12.6874i −0.0549855 0.733730i
\(300\) −4.67615 + 9.88431i −0.269977 + 0.570671i
\(301\) −11.4604 0.978124i −0.660567 0.0563781i
\(302\) −0.213755 2.85237i −0.0123002 0.164135i
\(303\) 1.28098 + 4.05315i 0.0735903 + 0.232848i
\(304\) 24.0459 11.5799i 1.37913 0.664152i
\(305\) −4.04208 0.609245i −0.231449 0.0348853i
\(306\) 0.0579975 + 0.652710i 0.00331550 + 0.0373130i
\(307\) −3.21602 + 4.03276i −0.183548 + 0.230162i −0.865089 0.501618i \(-0.832738\pi\)
0.681542 + 0.731779i \(0.261310\pi\)
\(308\) 12.4116 + 18.6153i 0.707218 + 1.06070i
\(309\) 5.16793 + 16.3519i 0.293993 + 0.930225i
\(310\) 1.25835 0.605989i 0.0714694 0.0344179i
\(311\) 5.96855 + 5.53800i 0.338445 + 0.314031i 0.831024 0.556237i \(-0.187755\pi\)
−0.492579 + 0.870268i \(0.663946\pi\)
\(312\) 0.661373 + 4.19115i 0.0374429 + 0.237277i
\(313\) 10.6900 + 18.5156i 0.604235 + 1.04657i 0.992172 + 0.124880i \(0.0398546\pi\)
−0.387937 + 0.921686i \(0.626812\pi\)
\(314\) −1.10949 + 4.86100i −0.0626123 + 0.274322i
\(315\) −9.15308 5.24213i −0.515718 0.295360i
\(316\) 4.54392 + 19.9082i 0.255615 + 1.11992i
\(317\) −23.6579 + 21.9513i −1.32876 + 1.23291i −0.376946 + 0.926235i \(0.623026\pi\)
−0.951815 + 0.306674i \(0.900784\pi\)
\(318\) 1.02559 + 0.226638i 0.0575123 + 0.0127092i
\(319\) 35.0134 5.27742i 1.96037 0.295479i
\(320\) 2.03258 + 8.90531i 0.113625 + 0.497822i
\(321\) −7.87951 6.19508i −0.439791 0.345776i
\(322\) 2.59520 0.167513i 0.144625 0.00933515i
\(323\) −1.59567 + 6.99108i −0.0887854 + 0.388994i
\(324\) 16.0338 + 7.18241i 0.890767 + 0.399023i
\(325\) −4.58018 7.93310i −0.254063 0.440049i
\(326\) 0.395489 1.73275i 0.0219041 0.0959682i
\(327\) 8.73896 + 12.6293i 0.483265 + 0.698399i
\(328\) −2.60325 + 6.63297i −0.143740 + 0.366244i
\(329\) −0.799508 + 4.95605i −0.0440783 + 0.273236i
\(330\) 1.89714 + 1.07790i 0.104434 + 0.0593364i
\(331\) −19.5945 + 6.04411i −1.07701 + 0.332214i −0.781999 0.623279i \(-0.785800\pi\)
−0.295012 + 0.955493i \(0.595324\pi\)
\(332\) −20.8602 3.14417i −1.14485 0.172559i
\(333\) 3.48134 3.32094i 0.190776 0.181986i
\(334\) −3.79487 + 0.571985i −0.207646 + 0.0312976i
\(335\) 7.09343 4.83622i 0.387555 0.264231i
\(336\) 16.8426 2.47956i 0.918838 0.135271i
\(337\) −25.6749 17.5048i −1.39860 0.953548i −0.999326 0.0367162i \(-0.988310\pi\)
−0.399273 0.916832i \(-0.630737\pi\)
\(338\) 0.981229 + 0.472535i 0.0533718 + 0.0257025i
\(339\) −30.2416 + 12.1108i −1.64250 + 0.657771i
\(340\) −2.33296 1.12350i −0.126523 0.0609301i
\(341\) −7.60087 19.3667i −0.411610 1.04877i
\(342\) −3.50136 3.15985i −0.189332 0.170865i
\(343\) −0.574511 + 18.5113i −0.0310207 + 0.999519i
\(344\) 1.87991 3.25610i 0.101358 0.175557i
\(345\) −8.91775 + 5.23118i −0.480115 + 0.281637i
\(346\) −3.45310 + 2.35429i −0.185640 + 0.126567i
\(347\) −16.1818 4.99143i −0.868685 0.267954i −0.171796 0.985133i \(-0.554957\pi\)
−0.696889 + 0.717179i \(0.745433\pi\)
\(348\) 7.96352 26.4652i 0.426890 1.41868i
\(349\) −0.815145 + 10.8774i −0.0436337 + 0.582252i 0.931945 + 0.362600i \(0.118111\pi\)
−0.975578 + 0.219651i \(0.929508\pi\)
\(350\) 1.63114 0.919379i 0.0871881 0.0491429i
\(351\) −12.5910 + 7.62182i −0.672060 + 0.406823i
\(352\) −10.8916 + 1.64164i −0.580522 + 0.0874996i
\(353\) −15.2580 + 7.34784i −0.812099 + 0.391086i −0.793371 0.608738i \(-0.791676\pi\)
−0.0187279 + 0.999825i \(0.505962\pi\)
\(354\) 3.95684 2.32110i 0.210304 0.123365i
\(355\) −2.79933 + 12.2647i −0.148573 + 0.650941i
\(356\) 20.7243 + 3.12368i 1.09838 + 0.165555i
\(357\) −2.30062 + 3.95342i −0.121762 + 0.209237i
\(358\) −1.85553 + 0.279676i −0.0980677 + 0.0147813i
\(359\) 2.52056 33.6345i 0.133030 1.77516i −0.388036 0.921644i \(-0.626846\pi\)
0.521066 0.853517i \(-0.325535\pi\)
\(360\) 2.82169 1.98148i 0.148716 0.104433i
\(361\) −16.3060 28.2429i −0.858212 1.48647i
\(362\) −2.72855 4.72600i −0.143410 0.248393i
\(363\) 7.49989 11.1654i 0.393642 0.586029i
\(364\) −6.48345 + 13.1143i −0.339825 + 0.687377i
\(365\) −6.36634 + 5.90710i −0.333229 + 0.309192i
\(366\) −0.916531 0.720602i −0.0479078 0.0376665i
\(367\) 1.36869 + 1.71629i 0.0714453 + 0.0895895i 0.816270 0.577671i \(-0.196038\pi\)
−0.744825 + 0.667260i \(0.767467\pi\)
\(368\) 6.09632 15.5332i 0.317793 0.809722i
\(369\) −24.7148 + 0.341676i −1.28660 + 0.0177869i
\(370\) −0.103781 0.454693i −0.00539531 0.0236384i
\(371\) 4.93098 + 5.42581i 0.256004 + 0.281694i
\(372\) −16.2012 1.10156i −0.839994 0.0571132i
\(373\) −18.0375 −0.933949 −0.466974 0.884271i \(-0.654656\pi\)
−0.466974 + 0.884271i \(0.654656\pi\)
\(374\) 0.473106 0.819443i 0.0244637 0.0423724i
\(375\) −10.5679 + 15.7328i −0.545722 + 0.812436i
\(376\) −1.35585 0.924402i −0.0699226 0.0476724i
\(377\) 14.4356 + 18.1017i 0.743471 + 0.932283i
\(378\) −1.53122 2.58961i −0.0787574 0.133195i
\(379\) 23.0405 28.8919i 1.18351 1.48408i 0.345503 0.938418i \(-0.387708\pi\)
0.838008 0.545658i \(-0.183720\pi\)
\(380\) 17.8091 5.49337i 0.913586 0.281804i
\(381\) −21.0284 + 12.3353i −1.07732 + 0.631957i
\(382\) −0.0418381 + 0.558291i −0.00214062 + 0.0285646i
\(383\) 18.6003 + 23.3240i 0.950431 + 1.19180i 0.981340 + 0.192281i \(0.0615884\pi\)
−0.0309090 + 0.999522i \(0.509840\pi\)
\(384\) −3.28865 + 10.9292i −0.167823 + 0.557728i
\(385\) 6.46620 + 13.7902i 0.329548 + 0.702815i
\(386\) −0.544193 + 0.262069i −0.0276987 + 0.0133390i
\(387\) 12.9221 + 1.76537i 0.656867 + 0.0897388i
\(388\) −6.73473 + 6.24892i −0.341904 + 0.317241i
\(389\) −20.3488 9.79945i −1.03172 0.496852i −0.160137 0.987095i \(-0.551194\pi\)
−0.871586 + 0.490243i \(0.836908\pi\)
\(390\) 0.00986141 + 1.42670i 0.000499352 + 0.0722436i
\(391\) 2.24171 + 3.88276i 0.113368 + 0.196360i
\(392\) −5.39892 2.73895i −0.272687 0.138338i
\(393\) −2.28456 0.878450i −0.115241 0.0443119i
\(394\) −1.61438 0.243329i −0.0813313 0.0122587i
\(395\) 1.03884 + 13.8623i 0.0522695 + 0.697488i
\(396\) −12.9871 21.7930i −0.652627 1.09514i
\(397\) 6.77717 4.62059i 0.340136 0.231901i −0.381190 0.924497i \(-0.624485\pi\)
0.721326 + 0.692596i \(0.243533\pi\)
\(398\) −0.257654 + 3.43816i −0.0129150 + 0.172339i
\(399\) −7.21569 32.1214i −0.361236 1.60808i
\(400\) −0.897819 11.9806i −0.0448910 0.599028i
\(401\) 19.2890 + 24.1876i 0.963245 + 1.20787i 0.978133 + 0.207982i \(0.0666895\pi\)
−0.0148877 + 0.999889i \(0.504739\pi\)
\(402\) 2.44047 0.199860i 0.121720 0.00996812i
\(403\) 8.48178 10.6358i 0.422508 0.529808i
\(404\) −3.51193 3.25859i −0.174725 0.162121i
\(405\) 10.0645 + 6.46168i 0.500108 + 0.321083i
\(406\) −3.73034 + 2.91225i −0.185134 + 0.144532i
\(407\) −6.86976 + 1.03545i −0.340521 + 0.0513254i
\(408\) −0.850790 1.22953i −0.0421204 0.0608710i
\(409\) 19.4293 + 18.0278i 0.960719 + 0.891417i 0.994148 0.108024i \(-0.0344525\pi\)
−0.0334296 + 0.999441i \(0.510643\pi\)
\(410\) −1.19799 + 2.07499i −0.0591647 + 0.102476i
\(411\) 5.91888 + 2.27590i 0.291957 + 0.112262i
\(412\) −14.1684 13.1463i −0.698025 0.647673i
\(413\) 31.9056 + 2.72308i 1.56997 + 0.133994i
\(414\) −2.94852 + 0.0407626i −0.144912 + 0.00200337i
\(415\) −13.7231 4.23301i −0.673640 0.207790i
\(416\) −4.49045 5.63085i −0.220163 0.276075i
\(417\) −17.5753 + 19.2063i −0.860668 + 0.940535i
\(418\) 1.51544 + 6.63957i 0.0741225 + 0.324752i
\(419\) 13.4015 12.4348i 0.654707 0.607480i −0.281233 0.959640i \(-0.590743\pi\)
0.935940 + 0.352160i \(0.114553\pi\)
\(420\) 11.8880 + 0.0407753i 0.580075 + 0.00198963i
\(421\) −1.98498 1.84180i −0.0967422 0.0897636i 0.630319 0.776336i \(-0.282924\pi\)
−0.727061 + 0.686572i \(0.759114\pi\)
\(422\) 1.08157 1.87333i 0.0526498 0.0911922i
\(423\) 1.18982 5.56655i 0.0578509 0.270655i
\(424\) −2.29013 + 0.706412i −0.111219 + 0.0343064i
\(425\) 2.66710 + 1.81840i 0.129374 + 0.0882054i
\(426\) −2.42225 + 2.64703i −0.117358 + 0.128249i
\(427\) −2.31826 7.80114i −0.112188 0.377524i
\(428\) 11.1706 + 1.68369i 0.539950 + 0.0813843i
\(429\) 21.2038 + 1.44170i 1.02373 + 0.0696059i
\(430\) 0.788251 0.988435i 0.0380128 0.0476666i
\(431\) 24.5367 + 16.7288i 1.18189 + 0.805799i 0.984647 0.174555i \(-0.0558488\pi\)
0.197243 + 0.980355i \(0.436801\pi\)
\(432\) −19.2155 + 1.84137i −0.924507 + 0.0885931i
\(433\) −8.37438 4.03289i −0.402447 0.193808i 0.221700 0.975115i \(-0.428839\pi\)
−0.624148 + 0.781307i \(0.714554\pi\)
\(434\) 2.15594 + 1.75609i 0.103488 + 0.0842948i
\(435\) 8.04587 17.0071i 0.385770 0.815430i
\(436\) −15.5951 7.51020i −0.746870 0.359673i
\(437\) −30.8357 9.51155i −1.47507 0.454999i
\(438\) −2.41105 + 0.567867i −0.115204 + 0.0271338i
\(439\) −15.9047 2.39724i −0.759088 0.114414i −0.241918 0.970297i \(-0.577776\pi\)
−0.517170 + 0.855883i \(0.673015\pi\)
\(440\) −4.97873 −0.237351
\(441\) 1.71295 20.9300i 0.0815690 0.996668i
\(442\) 0.618701 0.0294286
\(443\) −20.3023 3.06008i −0.964593 0.145389i −0.352185 0.935931i \(-0.614561\pi\)
−0.612408 + 0.790542i \(0.709799\pi\)
\(444\) −1.56247 + 5.19257i −0.0741517 + 0.246428i
\(445\) 13.6337 + 4.20544i 0.646299 + 0.199357i
\(446\) 0.248048 + 0.119454i 0.0117454 + 0.00565629i
\(447\) −27.5764 + 2.25835i −1.30432 + 0.106816i
\(448\) −14.3346 + 11.1909i −0.677246 + 0.528721i
\(449\) −18.7122 9.01132i −0.883083 0.425270i −0.0633334 0.997992i \(-0.520173\pi\)
−0.819750 + 0.572722i \(0.805887\pi\)
\(450\) −1.89993 + 0.947532i −0.0895635 + 0.0446671i
\(451\) 29.4892 + 20.1054i 1.38859 + 0.946728i
\(452\) 22.8917 28.7053i 1.07673 1.35018i
\(453\) −12.6238 + 18.7935i −0.593119 + 0.882997i
\(454\) 3.53938 + 0.533475i 0.166111 + 0.0250372i
\(455\) −5.69496 + 8.17013i −0.266984 + 0.383022i
\(456\) 10.5081 + 2.32210i 0.492086 + 0.108742i
\(457\) 30.0416 + 20.4820i 1.40529 + 0.958109i 0.999016 + 0.0443573i \(0.0141240\pi\)
0.406272 + 0.913752i \(0.366828\pi\)
\(458\) −2.90410 + 0.895797i −0.135700 + 0.0418579i
\(459\) 2.83220 4.34498i 0.132196 0.202806i
\(460\) 5.82621 10.0913i 0.271648 0.470509i
\(461\) 6.89108 + 6.39399i 0.320950 + 0.297798i 0.824150 0.566372i \(-0.191654\pi\)
−0.503200 + 0.864170i \(0.667844\pi\)
\(462\) −0.339493 + 4.33083i −0.0157946 + 0.201489i
\(463\) −1.40201 + 1.30087i −0.0651568 + 0.0604566i −0.712079 0.702099i \(-0.752246\pi\)
0.646922 + 0.762556i \(0.276056\pi\)
\(464\) 6.75705 + 29.6046i 0.313688 + 1.37436i
\(465\) −10.7941 2.38532i −0.500566 0.110617i
\(466\) 1.60800 + 2.01637i 0.0744890 + 0.0934063i
\(467\) −7.20092 2.22119i −0.333219 0.102784i 0.123631 0.992328i \(-0.460546\pi\)
−0.456850 + 0.889544i \(0.651022\pi\)
\(468\) 8.09474 14.4791i 0.374179 0.669297i
\(469\) 14.7133 + 8.69882i 0.679395 + 0.401674i
\(470\) −0.404490 0.375312i −0.0186577 0.0173119i
\(471\) 30.6835 24.8182i 1.41382 1.14356i
\(472\) −5.23364 + 9.06493i −0.240898 + 0.417247i
\(473\) −13.8052 12.8094i −0.634765 0.588976i
\(474\) −1.69555 + 3.58401i −0.0778792 + 0.164619i
\(475\) −22.9740 + 3.46277i −1.05412 + 0.158883i
\(476\) 0.0533141 5.15498i 0.00244365 0.236278i
\(477\) −5.27266 6.42739i −0.241419 0.294290i
\(478\) −0.619757 0.575050i −0.0283470 0.0263022i
\(479\) −6.71229 + 8.41695i −0.306692 + 0.384580i −0.911162 0.412048i \(-0.864814\pi\)
0.604470 + 0.796628i \(0.293385\pi\)
\(480\) −2.50281 + 5.29038i −0.114237 + 0.241472i
\(481\) −2.83232 3.55161i −0.129143 0.161940i
\(482\) −0.457843 6.10949i −0.0208542 0.278280i
\(483\) −16.9672 11.6535i −0.772034 0.530252i
\(484\) −1.13286 + 15.1169i −0.0514935 + 0.687133i
\(485\) −5.16753 + 3.52316i −0.234646 + 0.159979i
\(486\) 1.58540 + 3.02046i 0.0719152 + 0.137011i
\(487\) −1.59496 21.2833i −0.0722745 0.964437i −0.908995 0.416807i \(-0.863149\pi\)
0.836721 0.547630i \(-0.184470\pi\)
\(488\) 2.63056 + 0.396493i 0.119080 + 0.0179484i
\(489\) −10.9374 + 8.84668i −0.494608 + 0.400061i
\(490\) −1.65787 1.18127i −0.0748948 0.0533644i
\(491\) −13.1913 22.8480i −0.595314 1.03111i −0.993502 0.113811i \(-0.963694\pi\)
0.398188 0.917304i \(-0.369639\pi\)
\(492\) 24.0285 14.0952i 1.08329 0.635460i
\(493\) −7.35084 3.53998i −0.331065 0.159433i
\(494\) −3.26434 + 3.02886i −0.146869 + 0.136275i
\(495\) −6.53117 15.9877i −0.293554 0.718593i
\(496\) 16.0749 7.74127i 0.721785 0.347593i
\(497\) −24.4742 + 5.32040i −1.09782 + 0.238652i
\(498\) −2.80669 2.98327i −0.125771 0.133684i
\(499\) 9.94042 + 12.4649i 0.444994 + 0.558005i 0.952852 0.303436i \(-0.0981338\pi\)
−0.507858 + 0.861441i \(0.669562\pi\)
\(500\) 1.59627 21.3008i 0.0713876 0.952601i
\(501\) 26.4104 + 15.0056i 1.17993 + 0.670402i
\(502\) 0.651143 0.200851i 0.0290619 0.00896442i
\(503\) −11.1169 + 13.9401i −0.495676 + 0.621558i −0.965248 0.261336i \(-0.915837\pi\)
0.469572 + 0.882894i \(0.344408\pi\)
\(504\) 5.95677 + 3.41154i 0.265335 + 0.151962i
\(505\) −2.03344 2.54986i −0.0904871 0.113467i
\(506\) 3.51813 + 2.39862i 0.156400 + 0.106632i
\(507\) −3.79370 7.74037i −0.168484 0.343762i
\(508\) 13.7384 23.7956i 0.609543 1.05576i
\(509\) −8.70662 −0.385914 −0.192957 0.981207i \(-0.561808\pi\)
−0.192957 + 0.981207i \(0.561808\pi\)
\(510\) −0.221267 0.451456i −0.00979787 0.0199908i
\(511\) −16.0291 6.48304i −0.709084 0.286793i
\(512\) −3.53177 15.4737i −0.156084 0.683848i
\(513\) 6.32791 + 36.7897i 0.279384 + 1.62431i
\(514\) −0.394591 + 1.00540i −0.0174046 + 0.0443463i
\(515\) −8.20364 10.2870i −0.361496 0.453301i
\(516\) −13.6456 + 5.46466i −0.600715 + 0.240568i
\(517\) −6.02534 + 5.59070i −0.264994 + 0.245879i
\(518\) 0.731906 0.571394i 0.0321581 0.0251056i
\(519\) 33.0029 + 2.24395i 1.44867 + 0.0984983i
\(520\) −1.62772 2.81930i −0.0713805 0.123635i
\(521\) 10.2610 + 17.7726i 0.449544 + 0.778632i 0.998356 0.0573131i \(-0.0182533\pi\)
−0.548813 + 0.835945i \(0.684920\pi\)
\(522\) 4.39152 3.08386i 0.192211 0.134977i
\(523\) −2.59068 + 34.5702i −0.113283 + 1.51165i 0.593854 + 0.804573i \(0.297606\pi\)
−0.707136 + 0.707077i \(0.750013\pi\)
\(524\) 2.72780 0.411149i 0.119164 0.0179611i
\(525\) −14.6468 2.25906i −0.639239 0.0985933i
\(526\) −1.44404 0.217653i −0.0629630 0.00949014i
\(527\) −1.06672 + 4.67361i −0.0464671 + 0.203586i
\(528\) 24.2352 + 13.7697i 1.05470 + 0.599251i
\(529\) 2.54463 1.22543i 0.110636 0.0532795i
\(530\) −0.796867 + 0.120108i −0.0346137 + 0.00521718i
\(531\) −35.9749 4.91476i −1.56118 0.213282i
\(532\) 24.9550 + 27.4593i 1.08194 + 1.19051i
\(533\) −1.74400 + 23.2721i −0.0755410 + 1.00802i
\(534\) 2.78841 + 2.96383i 0.120666 + 0.128258i
\(535\) 7.34867 + 2.26677i 0.317711 + 0.0980008i
\(536\) −4.61635 + 3.14738i −0.199396 + 0.135946i
\(537\) 12.9135 + 7.33710i 0.557261 + 0.316619i
\(538\) −1.88898 + 3.27181i −0.0814397 + 0.141058i
\(539\) −19.3927 + 23.3118i −0.835302 + 1.00411i
\(540\) −13.4601 0.728417i −0.579231 0.0313461i
\(541\) −7.44484 18.9691i −0.320079 0.815547i −0.996847 0.0793508i \(-0.974715\pi\)
0.676768 0.736196i \(-0.263380\pi\)
\(542\) −2.08436 1.00378i −0.0895311 0.0431159i
\(543\) −6.14221 + 42.7540i −0.263587 + 1.83475i
\(544\) 2.28661 + 1.10117i 0.0980377 + 0.0472125i
\(545\) −9.73590 6.63782i −0.417040 0.284333i
\(546\) −2.56341 + 1.22366i −0.109704 + 0.0523678i
\(547\) 20.5508 14.0113i 0.878690 0.599081i −0.0377347 0.999288i \(-0.512014\pi\)
0.916425 + 0.400207i \(0.131062\pi\)
\(548\) −7.06722 + 1.06521i −0.301897 + 0.0455036i
\(549\) 2.17759 + 8.96737i 0.0929372 + 0.382718i
\(550\) 3.03146 + 0.456920i 0.129262 + 0.0194831i
\(551\) 56.1139 17.3089i 2.39053 0.737382i
\(552\) 5.80361 3.40442i 0.247018 0.144902i
\(553\) −24.1100 + 13.5894i −1.02526 + 0.577880i
\(554\) 0.609684 1.55345i 0.0259030 0.0659998i
\(555\) −1.57863 + 3.33687i −0.0670091 + 0.141642i
\(556\) 6.52916 28.6061i 0.276898 1.21317i
\(557\) −18.3191 31.7296i −0.776205 1.34443i −0.934115 0.356973i \(-0.883809\pi\)
0.157910 0.987454i \(-0.449525\pi\)
\(558\) −2.34069 2.11239i −0.0990894 0.0894246i
\(559\) 2.74014 12.0053i 0.115895 0.507771i
\(560\) −11.3787 + 6.41354i −0.480839 + 0.271021i
\(561\) −6.95246 + 2.78425i −0.293533 + 0.117551i
\(562\) −1.18209 5.17908i −0.0498635 0.218466i
\(563\) −4.18325 + 0.630524i −0.176303 + 0.0265734i −0.236600 0.971607i \(-0.576033\pi\)
0.0602973 + 0.998180i \(0.480795\pi\)
\(564\) 1.93333 + 6.11727i 0.0814080 + 0.257583i
\(565\) 18.3221 17.0004i 0.770817 0.715213i
\(566\) 0.0891501 + 0.390592i 0.00374726 + 0.0164178i
\(567\) −3.14097 + 23.6037i −0.131908 + 0.991262i
\(568\) 1.82178 7.98176i 0.0764404 0.334907i
\(569\) 10.1929 + 17.6547i 0.427310 + 0.740123i 0.996633 0.0819913i \(-0.0261280\pi\)
−0.569323 + 0.822114i \(0.692795\pi\)
\(570\) 3.37754 + 1.29872i 0.141470 + 0.0543974i
\(571\) 1.13882 + 1.05667i 0.0476583 + 0.0442204i 0.703642 0.710554i \(-0.251556\pi\)
−0.655984 + 0.754775i \(0.727746\pi\)
\(572\) −21.5809 + 10.3928i −0.902343 + 0.434546i
\(573\) 2.99149 3.26909i 0.124971 0.136568i
\(574\) −4.75292 0.405653i −0.198383 0.0169316i
\(575\) −9.05694 + 11.3570i −0.377701 + 0.473622i
\(576\) 16.8753 11.8504i 0.703138 0.493766i
\(577\) −18.8184 2.83641i −0.783419 0.118081i −0.254860 0.966978i \(-0.582029\pi\)
−0.528559 + 0.848896i \(0.677268\pi\)
\(578\) 3.15530 1.51951i 0.131243 0.0632034i
\(579\) 4.66809 + 1.03157i 0.193999 + 0.0428705i
\(580\) 1.58463 + 21.1455i 0.0657983 + 0.878017i
\(581\) −3.96876 28.3149i −0.164652 1.17470i
\(582\) −1.77787 + 0.145597i −0.0736952 + 0.00603520i
\(583\) 0.897084 + 11.9708i 0.0371534 + 0.495778i
\(584\) 4.14317 3.84430i 0.171446 0.159078i
\(585\) 6.91807 8.92536i 0.286027 0.369018i
\(586\) 1.63453 + 4.16471i 0.0675217 + 0.172042i
\(587\) 7.89740 13.6787i 0.325961 0.564580i −0.655746 0.754982i \(-0.727646\pi\)
0.981706 + 0.190402i \(0.0609790\pi\)
\(588\) 9.97457 + 21.4636i 0.411344 + 0.885145i
\(589\) −17.2516 29.8806i −0.710840 1.23121i
\(590\) −2.19447 + 2.75178i −0.0903451 + 0.113289i
\(591\) 8.85454 + 9.41161i 0.364227 + 0.387142i
\(592\) −1.32576 5.80853i −0.0544884 0.238729i
\(593\) 34.3850 23.4433i 1.41202 0.962701i 0.413384 0.910557i \(-0.364347\pi\)
0.998640 0.0521445i \(-0.0166057\pi\)
\(594\) 0.632998 4.88492i 0.0259722 0.200431i
\(595\) 0.558921 3.46468i 0.0229135 0.142038i
\(596\) 25.7655 17.5666i 1.05540 0.719558i
\(597\) 18.4227 20.1322i 0.753990 0.823958i
\(598\) −0.208063 + 2.77640i −0.00850832 + 0.113536i
\(599\) 2.85587 + 7.27665i 0.116688 + 0.297316i 0.977271 0.211994i \(-0.0679959\pi\)
−0.860583 + 0.509310i \(0.829901\pi\)
\(600\) 2.70121 4.02139i 0.110276 0.164172i
\(601\) −5.98834 15.2581i −0.244270 0.622389i 0.755182 0.655516i \(-0.227549\pi\)
−0.999451 + 0.0331269i \(0.989453\pi\)
\(602\) 2.44799 + 0.585438i 0.0997727 + 0.0238607i
\(603\) −16.1627 10.6953i −0.658195 0.435545i
\(604\) 1.90683 25.4448i 0.0775877 1.03534i
\(605\) −2.29637 + 10.0611i −0.0933609 + 0.409041i
\(606\) −0.144994 0.918832i −0.00588997 0.0373250i
\(607\) 5.47249 0.222122 0.111061 0.993814i \(-0.464575\pi\)
0.111061 + 0.993814i \(0.464575\pi\)
\(608\) −17.4553 + 5.38423i −0.707904 + 0.218359i
\(609\) 37.4575 + 0.128478i 1.51785 + 0.00520617i
\(610\) 0.854785 + 0.263666i 0.0346092 + 0.0106755i
\(611\) −5.13574 1.58417i −0.207770 0.0640885i
\(612\) −0.356214 + 5.83464i −0.0143991 + 0.235851i
\(613\) −2.18677 + 5.57180i −0.0883229 + 0.225043i −0.968210 0.250141i \(-0.919523\pi\)
0.879887 + 0.475184i \(0.157618\pi\)
\(614\) 0.827436 0.767748i 0.0333926 0.0309838i
\(615\) 17.6050 7.05025i 0.709901 0.284294i
\(616\) −4.20816 8.97459i −0.169551 0.361596i
\(617\) −43.6071 + 13.4510i −1.75556 + 0.541518i −0.994270 0.106897i \(-0.965908\pi\)
−0.761287 + 0.648415i \(0.775432\pi\)
\(618\) −0.584957 3.70690i −0.0235304 0.149113i
\(619\) −17.7863 −0.714891 −0.357445 0.933934i \(-0.616352\pi\)
−0.357445 + 0.933934i \(0.616352\pi\)
\(620\) 11.9055 3.67237i 0.478138 0.147486i
\(621\) 18.5455 + 14.1706i 0.744207 + 0.568647i
\(622\) −1.11090 1.39302i −0.0445429 0.0558551i
\(623\) 3.94291 + 28.1305i 0.157969 + 1.12702i
\(624\) 0.125976 + 18.2255i 0.00504306 + 0.729604i
\(625\) −0.362400 + 1.58778i −0.0144960 + 0.0635110i
\(626\) −1.70930 4.35522i −0.0683172 0.174069i
\(627\) 23.0516 48.7259i 0.920594 1.94593i
\(628\) −16.2497 + 41.4036i −0.648434 + 1.65218i
\(629\) 1.44226 + 0.694557i 0.0575068 + 0.0276938i
\(630\) 1.80964 + 1.43286i 0.0720979 + 0.0570866i
\(631\) −35.1389 + 16.9220i −1.39886 + 0.673655i −0.972930 0.231102i \(-0.925767\pi\)
−0.425929 + 0.904757i \(0.640053\pi\)
\(632\) −0.676068 9.02150i −0.0268925 0.358856i
\(633\) −15.8940 + 6.36507i −0.631731 + 0.252989i
\(634\) 5.83523 3.97839i 0.231747 0.158002i
\(635\) 11.6624 14.6242i 0.462808 0.580342i
\(636\) 8.74538 + 3.36274i 0.346777 + 0.133341i
\(637\) −19.5409 3.36003i −0.774239 0.133129i
\(638\) −7.74860 −0.306770
\(639\) 28.0209 4.62048i 1.10849 0.182783i
\(640\) −0.654397 8.73233i −0.0258673 0.345175i
\(641\) 9.22886 + 40.4343i 0.364518 + 1.59706i 0.741577 + 0.670868i \(0.234078\pi\)
−0.377059 + 0.926189i \(0.623065\pi\)
\(642\) 1.50297 + 1.59753i 0.0593177 + 0.0630496i
\(643\) 0.779000 + 0.531113i 0.0307208 + 0.0209451i 0.578583 0.815623i \(-0.303606\pi\)
−0.547862 + 0.836569i \(0.684558\pi\)
\(644\) 23.1149 + 1.97281i 0.910854 + 0.0777396i
\(645\) −9.74006 + 2.29405i −0.383514 + 0.0903280i
\(646\) 0.573299 1.46074i 0.0225561 0.0574721i
\(647\) −7.81732 5.32976i −0.307331 0.209535i 0.399827 0.916591i \(-0.369070\pi\)
−0.707157 + 0.707056i \(0.750023\pi\)
\(648\) −6.54990 4.20522i −0.257304 0.165197i
\(649\) 38.4335 + 35.6610i 1.50865 + 1.39982i
\(650\) 0.732355 + 1.86601i 0.0287253 + 0.0731909i
\(651\) −4.82376 21.4735i −0.189058 0.841613i
\(652\) 5.79237 14.7587i 0.226847 0.577996i
\(653\) 23.6331 11.3811i 0.924836 0.445378i 0.0900410 0.995938i \(-0.471300\pi\)
0.834795 + 0.550560i \(0.185586\pi\)
\(654\) −1.47910 3.01784i −0.0578373 0.118007i
\(655\) 1.87794 0.0733772
\(656\) −15.3039 + 26.5071i −0.597517 + 1.03493i
\(657\) 17.7799 + 8.26155i 0.693660 + 0.322314i
\(658\) 0.334646 1.04635i 0.0130459 0.0407911i
\(659\) 33.5021 + 10.3340i 1.30506 + 0.402557i 0.867860 0.496808i \(-0.165495\pi\)
0.437198 + 0.899365i \(0.355971\pi\)
\(660\) 15.3015 + 12.0305i 0.595610 + 0.468285i
\(661\) −20.1328 + 3.03453i −0.783075 + 0.118030i −0.528398 0.848997i \(-0.677207\pi\)
−0.254677 + 0.967026i \(0.581969\pi\)
\(662\) 4.43714 0.668792i 0.172454 0.0259933i
\(663\) −3.84965 3.02670i −0.149508 0.117547i
\(664\) 8.93090 + 2.75482i 0.346586 + 0.106908i
\(665\) 14.0125 + 21.0163i 0.543381 + 0.814976i
\(666\) −0.861632 + 0.605066i −0.0333876 + 0.0234458i
\(667\) 18.3576 31.7963i 0.710808 1.23116i
\(668\) −34.2349 −1.32459
\(669\) −0.959020 1.95671i −0.0370779 0.0756509i
\(670\) −1.69267 + 0.815145i −0.0653934 + 0.0314918i
\(671\) 4.86816 12.4039i 0.187933 0.478846i
\(672\) −11.6518 0.0399653i −0.449479 0.00154169i
\(673\) −16.0094 40.7912i −0.617116 1.57239i −0.806983 0.590575i \(-0.798901\pi\)
0.189867 0.981810i \(-0.439194\pi\)
\(674\) 4.98480 + 4.62522i 0.192007 + 0.178157i
\(675\) 16.4570 + 3.39881i 0.633430 + 0.130820i
\(676\) 8.02713 + 5.47280i 0.308736 + 0.210492i
\(677\) −10.2840 + 26.2033i −0.395247 + 1.00707i 0.585305 + 0.810813i \(0.300975\pi\)
−0.980552 + 0.196260i \(0.937120\pi\)
\(678\) 6.93891 1.63430i 0.266487 0.0627650i
\(679\) −10.7186 6.33705i −0.411340 0.243194i
\(680\) 0.947848 + 0.646232i 0.0363483 + 0.0247819i
\(681\) −19.4127 20.6341i −0.743897 0.790699i
\(682\) 1.01309 + 4.43862i 0.0387931 + 0.169964i
\(683\) −0.233418 3.11475i −0.00893149 0.119182i 0.990956 0.134188i \(-0.0428425\pi\)
−0.999887 + 0.0150053i \(0.995223\pi\)
\(684\) −26.6842 32.5281i −1.02030 1.24374i
\(685\) −4.86540 −0.185897
\(686\) 0.728069 3.98689i 0.0277978 0.152220i
\(687\) 22.4520 + 8.63316i 0.856598 + 0.329375i
\(688\) 10.0696 12.6269i 0.383900 0.481395i
\(689\) −6.48539 + 4.42166i −0.247074 + 0.168452i
\(690\) 2.10031 0.841109i 0.0799574 0.0320205i
\(691\) −0.826752 11.0322i −0.0314511 0.419686i −0.990601 0.136786i \(-0.956323\pi\)
0.959149 0.282900i \(-0.0912964\pi\)
\(692\) −33.5898 + 16.1760i −1.27689 + 0.614920i
\(693\) 23.2989 25.2862i 0.885052 0.960545i
\(694\) 3.33875 + 1.60786i 0.126737 + 0.0610334i
\(695\) 7.29755 18.5938i 0.276812 0.705305i
\(696\) −5.23620 + 11.0681i −0.198478 + 0.419537i
\(697\) −3.00449 7.65533i −0.113803 0.289966i
\(698\) 0.531155 2.32714i 0.0201045 0.0880836i
\(699\) −0.141092 20.4125i −0.00533659 0.772070i
\(700\) 15.6106 5.94114i 0.590024 0.224554i
\(701\) −4.15644 5.21202i −0.156987 0.196855i 0.697118 0.716957i \(-0.254466\pi\)
−0.854104 + 0.520102i \(0.825894\pi\)
\(702\) 2.97314 1.23861i 0.112214 0.0467483i
\(703\) −11.0098 + 3.39606i −0.415241 + 0.128085i
\(704\) −29.7756 −1.12221
\(705\) 0.680762 + 4.31402i 0.0256390 + 0.162475i
\(706\) 3.54129 1.09234i 0.133278 0.0411108i
\(707\) 2.87762 5.82067i 0.108224 0.218909i
\(708\) 37.9892 15.2135i 1.42772 0.571758i
\(709\) 29.0201 26.9268i 1.08987 1.01126i 0.0899914 0.995943i \(-0.471316\pi\)
0.999883 0.0153129i \(-0.00487443\pi\)
\(710\) 1.00576 2.56262i 0.0377453 0.0961735i
\(711\) 28.0830 14.0055i 1.05319 0.525249i
\(712\) −8.87271 2.73687i −0.332519 0.102569i
\(713\) −20.6140 6.35857i −0.771999 0.238130i
\(714\) 0.626769 0.780436i 0.0234562 0.0292071i
\(715\) −15.5817 + 4.80633i −0.582724 + 0.179747i
\(716\) −16.7394 −0.625581
\(717\) 1.04306 + 6.60991i 0.0389537 + 0.246852i
\(718\) −1.64241 + 7.19589i −0.0612943 + 0.268548i
\(719\) −2.66103 + 35.5090i −0.0992396 + 1.32426i 0.696034 + 0.718009i \(0.254946\pi\)
−0.795273 + 0.606251i \(0.792673\pi\)
\(720\) 13.2538 6.60993i 0.493940 0.246338i
\(721\) 11.6093 23.4827i 0.432355 0.874540i
\(722\) 2.60728 + 6.64324i 0.0970329 + 0.247236i
\(723\) −27.0390 + 40.2539i −1.00559 + 1.49706i
\(724\) −17.7851 45.3156i −0.660976 1.68414i
\(725\) 1.97545 26.3605i 0.0733662 0.979004i
\(726\) −1.98705 + 2.17144i −0.0737462 + 0.0805895i
\(727\) 33.0082 22.5046i 1.22421 0.834649i 0.233725 0.972303i \(-0.424908\pi\)
0.990480 + 0.137653i \(0.0439560\pi\)
\(728\) 3.70624 5.31707i 0.137362 0.197064i
\(729\) 4.91155 26.5495i 0.181909 0.983315i
\(730\) 1.57026 1.07058i 0.0581179 0.0396241i
\(731\) 0.965594 + 4.23054i 0.0357138 + 0.156472i
\(732\) −7.12661 7.57497i −0.263407 0.279979i
\(733\) 6.70389 8.40641i 0.247614 0.310498i −0.642456 0.766323i \(-0.722084\pi\)
0.890069 + 0.455825i \(0.150656\pi\)
\(734\) −0.240192 0.416024i −0.00886563 0.0153557i
\(735\) 4.53668 + 15.4603i 0.167338 + 0.570264i
\(736\) −5.71046 + 9.89080i −0.210490 + 0.364580i
\(737\) 10.2243 + 26.0511i 0.376617 + 0.959603i
\(738\) 5.35912 + 0.732143i 0.197272 + 0.0269506i
\(739\) 2.00729 1.86249i 0.0738394 0.0685130i −0.642390 0.766378i \(-0.722057\pi\)
0.716229 + 0.697865i \(0.245866\pi\)
\(740\) −0.310911 4.14882i −0.0114293 0.152514i
\(741\) 35.1284 2.87681i 1.29048 0.105682i
\(742\) −0.890040 1.33490i −0.0326744 0.0490059i
\(743\) −1.51837 20.2613i −0.0557037 0.743314i −0.953209 0.302311i \(-0.902242\pi\)
0.897506 0.441003i \(-0.145377\pi\)
\(744\) 7.02475 + 1.55235i 0.257540 + 0.0569119i
\(745\) 19.1265 9.21083i 0.700740 0.337459i
\(746\) 3.90311 + 0.588298i 0.142903 + 0.0215391i
\(747\) 2.86942 + 32.2927i 0.104987 + 1.18153i
\(748\) 5.26274 6.59926i 0.192425 0.241293i
\(749\) 2.12526 + 15.1626i 0.0776553 + 0.554028i
\(750\) 2.79988 3.05970i 0.102237 0.111725i
\(751\) −7.05583 + 3.39791i −0.257471 + 0.123992i −0.558167 0.829728i \(-0.688495\pi\)
0.300696 + 0.953720i \(0.402781\pi\)
\(752\) −5.16720 4.79446i −0.188428 0.174836i
\(753\) −5.03407 1.93568i −0.183452 0.0705401i
\(754\) −2.53330 4.38780i −0.0922572 0.159794i
\(755\) 3.86526 16.9348i 0.140671 0.616321i
\(756\) −10.0638 24.8787i −0.366018 0.904830i
\(757\) 3.84030 + 16.8255i 0.139578 + 0.611532i 0.995528 + 0.0944721i \(0.0301163\pi\)
−0.855949 + 0.517060i \(0.827027\pi\)
\(758\) −5.92800 + 5.50038i −0.215315 + 0.199783i
\(759\) −10.1562 32.1353i −0.368647 1.16644i
\(760\) −8.16459 + 1.23061i −0.296161 + 0.0446391i
\(761\) −4.92991 21.5993i −0.178709 0.782975i −0.982227 0.187695i \(-0.939898\pi\)
0.803518 0.595280i \(-0.202959\pi\)
\(762\) 4.95260 1.98336i 0.179414 0.0718497i
\(763\) 3.73620 23.1603i 0.135260 0.838458i
\(764\) −1.11133 + 4.86904i −0.0402064 + 0.176156i
\(765\) −0.831779 + 3.89147i −0.0300730 + 0.140696i
\(766\) −3.26416 5.65369i −0.117939 0.204276i
\(767\) −7.62849 + 33.4226i −0.275449 + 1.20682i
\(768\) −9.11442 + 19.2658i −0.328888 + 0.695195i
\(769\) 13.1234 33.4379i 0.473243 1.20580i −0.472629 0.881262i \(-0.656695\pi\)
0.945872 0.324541i \(-0.105210\pi\)
\(770\) −0.949435 3.19493i −0.0342152 0.115137i
\(771\) 7.37364 4.32540i 0.265555 0.155775i
\(772\) −5.14874 + 1.58818i −0.185307 + 0.0571597i
\(773\) −0.725282 0.109319i −0.0260866 0.00393192i 0.135986 0.990711i \(-0.456580\pi\)
−0.162073 + 0.986779i \(0.551818\pi\)
\(774\) −2.73861 0.803462i −0.0984372 0.0288798i
\(775\) −15.3583 + 2.31490i −0.551688 + 0.0831535i
\(776\) 3.36300 2.29285i 0.120725 0.0823086i
\(777\) −7.34929 0.0252078i −0.263654 0.000904324i
\(778\) 4.08361 + 2.78416i 0.146405 + 0.0998170i
\(779\) 53.3289 + 25.6818i 1.91070 + 0.920147i
\(780\) −1.80987 + 12.5980i −0.0648039 + 0.451079i
\(781\) −36.9468 17.7926i −1.32206 0.636671i
\(782\) −0.358442 0.913296i −0.0128179 0.0326594i
\(783\) −42.4110 2.29514i −1.51564 0.0820217i
\(784\) −21.1786 15.0903i −0.756378 0.538938i
\(785\) −15.1394 + 26.2223i −0.540349 + 0.935912i
\(786\) 0.465700 + 0.264597i 0.0166110 + 0.00943787i
\(787\) −3.69233 + 2.51739i −0.131617 + 0.0897351i −0.627339 0.778746i \(-0.715856\pi\)
0.495722 + 0.868481i \(0.334904\pi\)
\(788\) −13.9169 4.29279i −0.495768 0.152924i
\(789\) 7.92023 + 8.41853i 0.281968 + 0.299707i
\(790\) 0.227331 3.03352i 0.00808806 0.107928i
\(791\) 46.1311 + 18.6580i 1.64023 + 0.663401i
\(792\) 4.25044 + 10.4047i 0.151033 + 0.369714i
\(793\) 8.61552 1.29858i 0.305946 0.0461139i
\(794\) −1.61720 + 0.778801i −0.0573922 + 0.0276386i
\(795\) 5.54580 + 3.15096i 0.196689 + 0.111753i
\(796\) −6.84395 + 29.9853i −0.242577 + 1.06280i
\(797\) 31.6400 + 4.76896i 1.12074 + 0.168925i 0.683172 0.730258i \(-0.260600\pi\)
0.437573 + 0.899183i \(0.355838\pi\)
\(798\) 0.513739 + 7.18603i 0.0181862 + 0.254383i
\(799\) 1.87277 0.282274i 0.0662537 0.00998614i
\(800\) −0.614498 + 8.19991i −0.0217258 + 0.289911i
\(801\) −2.85072 32.0823i −0.100725 1.13357i
\(802\) −3.38501 5.86301i −0.119529 0.207030i
\(803\) −14.1550 24.5172i −0.499519 0.865192i
\(804\) 21.7930 + 1.48176i 0.768581 + 0.0522576i
\(805\) 15.3597 + 3.67328i 0.541358 + 0.129466i
\(806\) −2.18224 + 2.02483i −0.0768662 + 0.0713214i
\(807\) 27.7592 11.1167i 0.977172 0.391327i
\(808\) 1.32335 + 1.65943i 0.0465554 + 0.0583786i
\(809\) 1.80286 4.59361i 0.0633852 0.161503i −0.895672 0.444715i \(-0.853305\pi\)
0.959057 + 0.283212i \(0.0914001\pi\)
\(810\) −1.96708 1.72648i −0.0691162 0.0606625i
\(811\) 5.42495 + 23.7683i 0.190496 + 0.834617i 0.976348 + 0.216203i \(0.0693673\pi\)
−0.785853 + 0.618414i \(0.787776\pi\)
\(812\) −36.7772 + 20.7292i −1.29063 + 0.727451i
\(813\) 8.05871 + 16.4424i 0.282631 + 0.576660i
\(814\) 1.52030 0.0532866
\(815\) 5.39659 9.34717i 0.189034 0.327417i
\(816\) −2.82660 5.76718i −0.0989507 0.201892i
\(817\) −25.8053 17.5937i −0.902813 0.615527i
\(818\) −3.61629 4.53468i −0.126441 0.158552i
\(819\) 21.9361 + 4.92647i 0.766509 + 0.172145i
\(820\) −13.3263 + 16.7106i −0.465373 + 0.583559i
\(821\) −29.2952 + 9.03638i −1.02241 + 0.315372i −0.760235 0.649648i \(-0.774916\pi\)
−0.262175 + 0.965020i \(0.584440\pi\)
\(822\) −1.20654 0.685523i −0.0420831 0.0239104i
\(823\) −2.83934 + 37.8883i −0.0989731 + 1.32070i 0.697742 + 0.716349i \(0.254188\pi\)
−0.796715 + 0.604355i \(0.793431\pi\)
\(824\) 5.33888 + 6.69474i 0.185989 + 0.233222i
\(825\) −16.6269 17.6730i −0.578876 0.615295i
\(826\) −6.81516 1.62985i −0.237130 0.0567097i
\(827\) −5.19199 + 2.50033i −0.180543 + 0.0869450i −0.521972 0.852963i \(-0.674803\pi\)
0.341429 + 0.939908i \(0.389089\pi\)
\(828\) −26.0630 3.56063i −0.905752 0.123741i
\(829\) −2.84986 + 2.64429i −0.0989799 + 0.0918399i −0.728111 0.685459i \(-0.759601\pi\)
0.629131 + 0.777299i \(0.283411\pi\)
\(830\) 2.83145 + 1.36355i 0.0982810 + 0.0473297i
\(831\) −11.3931 + 6.68320i −0.395221 + 0.231838i
\(832\) −9.73472 16.8610i −0.337491 0.584551i
\(833\) 6.71781 1.92094i 0.232758 0.0665567i
\(834\) 4.42951 3.58278i 0.153381 0.124061i
\(835\) −23.0454 3.47353i −0.797518 0.120206i
\(836\) 4.54001 + 60.5823i 0.157020 + 2.09528i
\(837\) 4.23027 + 24.5943i 0.146220 + 0.850104i
\(838\) −3.30549 + 2.25364i −0.114186 + 0.0778509i
\(839\) 1.02719 13.7069i 0.0354625 0.473214i −0.950996 0.309203i \(-0.899938\pi\)
0.986458 0.164011i \(-0.0524433\pi\)
\(840\) −5.20525 0.802834i −0.179598 0.0277004i
\(841\) 2.82579 + 37.7075i 0.0974410 + 1.30026i
\(842\) 0.369456 + 0.463283i 0.0127323 + 0.0159658i
\(843\) −17.9810 + 38.0078i −0.619299 + 1.30906i
\(844\) 12.0311 15.0866i 0.414129 0.519301i
\(845\) 4.84821 + 4.49848i 0.166783 + 0.154752i
\(846\) −0.439016 + 1.16573i −0.0150937 + 0.0400785i
\(847\) −20.0769 + 4.36448i −0.689851 + 0.149965i
\(848\) −10.1797 + 1.53434i −0.349571 + 0.0526894i
\(849\) 1.35608 2.86644i 0.0465406 0.0983761i
\(850\) −0.517821 0.480468i −0.0177611 0.0164799i
\(851\) −3.60182 + 6.23854i −0.123469 + 0.213854i
\(852\) −24.8859 + 20.1288i −0.852578 + 0.689602i
\(853\) 7.49154 + 6.95113i 0.256505 + 0.238002i 0.797934 0.602744i \(-0.205926\pi\)
−0.541429 + 0.840746i \(0.682117\pi\)
\(854\) 0.247207 + 1.76368i 0.00845924 + 0.0603520i
\(855\) −14.6622 24.6038i −0.501437 0.841433i
\(856\) −4.78247 1.47520i −0.163461 0.0504212i
\(857\) −30.9404 38.7981i −1.05691 1.32532i −0.943355 0.331785i \(-0.892349\pi\)
−0.113550 0.993532i \(-0.536222\pi\)
\(858\) −4.54123 1.00353i −0.155035 0.0342601i
\(859\) 4.31907 + 18.9231i 0.147365 + 0.645647i 0.993611 + 0.112856i \(0.0359998\pi\)
−0.846247 + 0.532791i \(0.821143\pi\)
\(860\) 8.26730 7.67094i 0.281913 0.261577i
\(861\) 27.5889 + 25.7754i 0.940227 + 0.878424i
\(862\) −4.76382 4.42018i −0.162256 0.150552i
\(863\) −19.3927 + 33.5891i −0.660135 + 1.14339i 0.320445 + 0.947267i \(0.396167\pi\)
−0.980580 + 0.196120i \(0.937166\pi\)
\(864\) 13.1927 + 0.713946i 0.448825 + 0.0242889i
\(865\) −24.2524 + 7.48086i −0.824605 + 0.254357i
\(866\) 1.68058 + 1.14580i 0.0571085 + 0.0389359i
\(867\) −27.0662 5.98117i −0.919217 0.203131i
\(868\) 16.6827 + 18.3568i 0.566247 + 0.623070i
\(869\) −44.8082 6.75376i −1.52002 0.229105i
\(870\) −2.29572 + 3.41772i −0.0778322 + 0.115872i
\(871\) −11.4092 + 14.3067i −0.386587 + 0.484765i
\(872\) 6.33606 + 4.31985i 0.214566 + 0.146289i
\(873\) 11.7744 + 7.79146i 0.398504 + 0.263701i
\(874\) 6.36224 + 3.06389i 0.215206 + 0.103638i
\(875\) 28.2898 6.14986i 0.956369 0.207903i
\(876\) −22.0228 + 1.80354i −0.744081 + 0.0609358i
\(877\) 16.7313 + 8.05735i 0.564975 + 0.272077i 0.694493 0.719500i \(-0.255629\pi\)
−0.129518 + 0.991577i \(0.541343\pi\)
\(878\) 3.36339 + 1.03747i 0.113509 + 0.0350128i
\(879\) 10.2036 33.9095i 0.344158 1.14374i
\(880\) −21.1473 3.18745i −0.712876 0.107449i
\(881\) 43.3966 1.46207 0.731034 0.682341i \(-0.239038\pi\)
0.731034 + 0.682341i \(0.239038\pi\)
\(882\) −1.05330 + 4.47313i −0.0354664 + 0.150618i
\(883\) −2.22831 −0.0749886 −0.0374943 0.999297i \(-0.511938\pi\)
−0.0374943 + 0.999297i \(0.511938\pi\)
\(884\) 5.45754 + 0.822592i 0.183557 + 0.0276668i
\(885\) 27.1161 6.38658i 0.911498 0.214683i
\(886\) 4.29337 + 1.32433i 0.144239 + 0.0444917i
\(887\) −1.18531 0.570816i −0.0397989 0.0191661i 0.413878 0.910332i \(-0.364174\pi\)
−0.453677 + 0.891166i \(0.649888\pi\)
\(888\) 1.02736 2.17161i 0.0344760 0.0728745i
\(889\) 36.2187 + 8.66171i 1.21474 + 0.290505i
\(890\) −2.81300 1.35467i −0.0942920 0.0454087i
\(891\) −27.8358 + 27.2981i −0.932533 + 0.914519i
\(892\) 2.02920 + 1.38349i 0.0679427 + 0.0463226i
\(893\) −8.49905 + 10.6575i −0.284410 + 0.356639i
\(894\) 6.04086 + 0.410732i 0.202036 + 0.0137369i
\(895\) −11.2682 1.69840i −0.376654 0.0567714i
\(896\) 15.1877 8.56041i 0.507384 0.285983i
\(897\) 14.8768 16.2573i 0.496723 0.542817i
\(898\) 3.75518 + 2.56024i 0.125312 + 0.0854364i
\(899\) 37.5127 11.5711i 1.25112 0.385919i
\(900\) −18.0190 + 5.83210i −0.600633 + 0.194403i
\(901\) 1.38300 2.39543i 0.0460744 0.0798033i
\(902\) −5.72537 5.31237i −0.190634 0.176882i
\(903\) −12.3678 15.6183i −0.411574 0.519745i
\(904\) −11.9239 + 11.0638i −0.396583 + 0.367975i
\(905\) −7.37428 32.3088i −0.245129 1.07398i
\(906\) 3.34460 3.65496i 0.111117 0.121428i
\(907\) 15.5437 + 19.4912i 0.516121 + 0.647195i 0.969780 0.243980i \(-0.0784532\pi\)
−0.453659 + 0.891175i \(0.649882\pi\)
\(908\) 30.5114 + 9.41153i 1.01256 + 0.312333i
\(909\) −3.59277 + 6.42642i −0.119165 + 0.213151i
\(910\) 1.49879 1.58217i 0.0496844 0.0524486i
\(911\) −10.8370 10.0552i −0.359044 0.333144i 0.479939 0.877302i \(-0.340659\pi\)
−0.838983 + 0.544158i \(0.816849\pi\)
\(912\) 43.1468 + 16.5906i 1.42873 + 0.549370i
\(913\) 23.4068 40.5418i 0.774653 1.34174i
\(914\) −5.83262 5.41188i −0.192926 0.179009i
\(915\) −4.02873 5.82220i −0.133186 0.192476i
\(916\) −26.8080 + 4.04066i −0.885761 + 0.133507i
\(917\) 1.58729 + 3.38515i 0.0524169 + 0.111788i
\(918\) −0.754566 + 0.847828i −0.0249044 + 0.0279825i
\(919\) 20.6646 + 19.1739i 0.681661 + 0.632489i 0.943013 0.332755i \(-0.107978\pi\)
−0.261353 + 0.965243i \(0.584169\pi\)
\(920\) −3.21870 + 4.03612i −0.106117 + 0.133067i
\(921\) −8.90426 + 0.729207i −0.293405 + 0.0240282i
\(922\) −1.28260 1.60834i −0.0422403 0.0529677i
\(923\) −2.00381 26.7389i −0.0659561 0.880122i
\(924\) −8.75270 + 37.7507i −0.287943 + 1.24191i
\(925\) −0.387590 + 5.17203i −0.0127439 + 0.170055i
\(926\) 0.345805 0.235766i 0.0113639 0.00774775i
\(927\) −14.4945 + 25.9265i −0.476063 + 0.851537i
\(928\) −1.55315 20.7254i −0.0509847 0.680343i
\(929\) −23.5210 3.54522i −0.771699 0.116315i −0.248622 0.968601i \(-0.579978\pi\)
−0.523077 + 0.852286i \(0.675216\pi\)
\(930\) 2.25792 + 0.868207i 0.0740402 + 0.0284696i
\(931\) −26.0399 + 43.0223i −0.853423 + 1.41000i
\(932\) 11.5032 + 19.9242i 0.376801 + 0.652639i
\(933\) 0.0974745 + 14.1021i 0.00319117 + 0.461682i
\(934\) 1.48575 + 0.715498i 0.0486151 + 0.0234118i
\(935\) 4.21220 3.90835i 0.137754 0.127817i
\(936\) −4.50224 + 5.80856i −0.147160 + 0.189859i
\(937\) 13.3407 6.42455i 0.435822 0.209881i −0.203091 0.979160i \(-0.565099\pi\)
0.638913 + 0.769279i \(0.279384\pi\)
\(938\) −2.90006 2.36219i −0.0946902 0.0771284i
\(939\) −10.6703 + 35.4607i −0.348213 + 1.15722i
\(940\) −3.06900 3.84840i −0.100100 0.125521i
\(941\) 1.76835 23.5970i 0.0576465 0.769239i −0.891222 0.453567i \(-0.850151\pi\)
0.948868 0.315672i \(-0.102230\pi\)
\(942\) −7.44899 + 4.36960i −0.242701 + 0.142369i
\(943\) 35.3635 10.9082i 1.15159 0.355219i
\(944\) −28.0335 + 35.1530i −0.912414 + 1.14413i
\(945\) −4.25027 17.7683i −0.138261 0.578002i
\(946\) 2.56950 + 3.22205i 0.0835417 + 0.104758i
\(947\) −30.4674 20.7723i −0.990058 0.675010i −0.0440082 0.999031i \(-0.514013\pi\)
−0.946050 + 0.324021i \(0.894965\pi\)
\(948\) −19.7215 + 29.3601i −0.640524 + 0.953571i
\(949\) 9.25555 16.0311i 0.300448 0.520391i
\(950\) 5.08422 0.164954
\(951\) −55.7700 3.79193i −1.80847 0.122962i
\(952\) −0.363742 + 2.25479i −0.0117889 + 0.0730782i
\(953\) −10.8430 47.5063i −0.351239 1.53888i −0.774325 0.632789i \(-0.781910\pi\)
0.423086 0.906090i \(-0.360947\pi\)
\(954\) 0.931309 + 1.56278i 0.0301522 + 0.0505968i
\(955\) −1.24211 + 3.16485i −0.0401938 + 0.102412i
\(956\) −4.70230 5.89650i −0.152083 0.190706i
\(957\) 48.2129 + 37.9063i 1.55850 + 1.22534i
\(958\) 1.72698 1.60240i 0.0557961 0.0517713i
\(959\) −4.11237 8.77031i −0.132795 0.283208i
\(960\) −8.82178 + 13.1333i −0.284722 + 0.423876i
\(961\) 3.96713 + 6.87127i 0.127972 + 0.221654i
\(962\) 0.497042 + 0.860902i 0.0160253 + 0.0277566i
\(963\) −1.53656 17.2927i −0.0495151 0.557248i
\(964\) 4.08424 54.5004i 0.131544 1.75534i
\(965\) −3.62703 + 0.546687i −0.116758 + 0.0175985i
\(966\) 3.29141 + 3.07506i 0.105899 + 0.0989384i
\(967\) −2.38122 0.358910i −0.0765747 0.0115418i 0.110643 0.993860i \(-0.464709\pi\)
−0.187218 + 0.982318i \(0.559947\pi\)
\(968\) 1.49447 6.54768i 0.0480339 0.210450i
\(969\) −10.7131 + 6.28435i −0.344155 + 0.201882i
\(970\) 1.23310 0.593829i 0.0395924 0.0190667i
\(971\) −40.9702 + 6.17526i −1.31479 + 0.198173i −0.768732 0.639571i \(-0.779112\pi\)
−0.546063 + 0.837744i \(0.683874\pi\)
\(972\) 9.96891 + 28.7512i 0.319753 + 0.922195i
\(973\) 39.6851 2.56157i 1.27225 0.0821202i
\(974\) −0.349028 + 4.65746i −0.0111836 + 0.149235i
\(975\) 4.57174 15.1933i 0.146413 0.486574i
\(976\) 10.9195 + 3.36823i 0.349526 + 0.107814i
\(977\) 24.4223 16.6509i 0.781339 0.532708i −0.105702 0.994398i \(-0.533709\pi\)
0.887041 + 0.461690i \(0.152757\pi\)
\(978\) 2.65526 1.55759i 0.0849060 0.0498061i
\(979\) −23.2543 + 40.2777i −0.743212 + 1.28728i
\(980\) −13.0534 12.6242i −0.416976 0.403264i
\(981\) −5.56017 + 26.0132i −0.177523 + 0.830538i
\(982\) 2.10924 + 5.37426i 0.0673086 + 0.171500i
\(983\) 20.0402 + 9.65086i 0.639184 + 0.307815i 0.725261 0.688474i \(-0.241719\pi\)
−0.0860774 + 0.996288i \(0.527433\pi\)
\(984\) −11.4572 + 4.58826i −0.365242 + 0.146268i
\(985\) −8.93264 4.30173i −0.284618 0.137065i
\(986\) 1.47518 + 1.00576i 0.0469792 + 0.0320299i
\(987\) −7.20100 + 4.87346i −0.229210 + 0.155124i
\(988\) −32.8216 + 22.3774i −1.04419 + 0.711920i
\(989\) −19.3092 + 2.91039i −0.613996 + 0.0925450i
\(990\) 0.891824 + 3.67256i 0.0283440 + 0.116722i
\(991\) 52.6895 + 7.94167i 1.67374 + 0.252275i 0.916260 0.400585i \(-0.131193\pi\)
0.757478 + 0.652860i \(0.226431\pi\)
\(992\) −11.6690 + 3.59942i −0.370492 + 0.114282i
\(993\) −30.8803 17.5453i −0.979956 0.556782i
\(994\) 5.46944 0.353038i 0.173480 0.0111977i
\(995\) −7.64938 + 19.4903i −0.242502 + 0.617884i
\(996\) −20.7913 30.0470i −0.658799 0.952074i
\(997\) −1.77842 + 7.79176i −0.0563231 + 0.246768i −0.995250 0.0973479i \(-0.968964\pi\)
0.938927 + 0.344116i \(0.111821\pi\)
\(998\) −1.74444 3.02146i −0.0552193 0.0956426i
\(999\) 8.32119 + 0.450316i 0.263271 + 0.0142474i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 441.2.z.a.16.26 yes 648
9.4 even 3 441.2.y.a.310.29 648
49.46 even 21 441.2.y.a.340.29 yes 648
441.193 even 21 inner 441.2.z.a.193.26 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.310.29 648 9.4 even 3
441.2.y.a.340.29 yes 648 49.46 even 21
441.2.z.a.16.26 yes 648 1.1 even 1 trivial
441.2.z.a.193.26 yes 648 441.193 even 21 inner