Properties

Label 483.2.bf.a.178.19
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(10,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([0, 11, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.10");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.19
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.180396 - 0.0172257i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(-1.93161 + 0.372288i) q^{4} +(-3.29323 - 1.69778i) q^{5} +(-0.136954 - 0.118671i) q^{6} +(0.635350 + 2.56833i) q^{7} +(-0.689793 + 0.202541i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(0.180396 - 0.0172257i) q^{2} +(-0.690079 - 0.723734i) q^{3} +(-1.93161 + 0.372288i) q^{4} +(-3.29323 - 1.69778i) q^{5} +(-0.136954 - 0.118671i) q^{6} +(0.635350 + 2.56833i) q^{7} +(-0.689793 + 0.202541i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-0.623329 - 0.249543i) q^{10} +(0.277003 - 2.90091i) q^{11} +(1.60240 + 1.14107i) q^{12} +(6.10712 - 0.878071i) q^{13} +(0.158856 + 0.452372i) q^{14} +(1.04385 + 3.55502i) q^{15} +(3.53155 - 1.41382i) q^{16} +(1.72042 + 4.97084i) q^{17} +(0.00862262 + 0.181011i) q^{18} +(-1.79025 + 5.17257i) q^{19} +(6.99330 + 2.05342i) q^{20} +(1.42035 - 2.23218i) q^{21} -0.528083i q^{22} +(-4.54339 + 1.53545i) q^{23} +(0.622598 + 0.359457i) q^{24} +(5.06261 + 7.10945i) q^{25} +(1.08657 - 0.263600i) q^{26} +(0.755750 - 0.654861i) q^{27} +(-2.18341 - 4.72449i) q^{28} +(0.942973 - 1.08825i) q^{29} +(0.249543 + 0.623329i) q^{30} +(7.09866 + 1.72212i) q^{31} +(1.89071 - 0.974731i) q^{32} +(-2.29064 + 1.80138i) q^{33} +(0.395983 + 0.867082i) q^{34} +(2.26810 - 9.53678i) q^{35} +(-0.279956 - 1.94714i) q^{36} +(-7.24261 - 0.345008i) q^{37} +(-0.233851 + 0.963948i) q^{38} +(-4.84989 - 3.81399i) q^{39} +(2.61551 + 0.504099i) q^{40} +(4.33080 + 6.73886i) q^{41} +(0.217774 - 0.427141i) q^{42} +(2.08099 - 7.08722i) q^{43} +(0.544909 + 5.70655i) q^{44} +(1.85255 - 3.20871i) q^{45} +(-0.793158 + 0.355252i) q^{46} +(5.92656 - 3.42170i) q^{47} +(-3.46028 - 1.58026i) q^{48} +(-6.19266 + 3.26358i) q^{49} +(1.03574 + 1.19531i) q^{50} +(2.41033 - 4.67540i) q^{51} +(-11.4697 + 3.96970i) q^{52} +(-2.09068 + 2.65852i) q^{53} +(0.125054 - 0.131152i) q^{54} +(-5.83732 + 9.08305i) q^{55} +(-0.958453 - 1.64293i) q^{56} +(4.97898 - 2.27382i) q^{57} +(0.151362 - 0.212559i) q^{58} +(1.05083 - 2.62485i) q^{59} +(-3.33980 - 6.47831i) q^{60} +(6.10050 + 5.81682i) q^{61} +(1.31023 + 0.188383i) q^{62} +(-2.59565 + 0.512424i) q^{63} +(-6.07604 + 3.90484i) q^{64} +(-21.6029 - 7.47684i) q^{65} +(-0.382191 + 0.364419i) q^{66} +(-4.99918 + 3.55990i) q^{67} +(-5.17377 - 8.96123i) q^{68} +(4.24656 + 2.22862i) q^{69} +(0.244878 - 1.75946i) q^{70} +(-3.13680 + 6.86863i) q^{71} +(-0.169490 - 0.698649i) q^{72} +(0.943382 + 4.89473i) q^{73} +(-1.31248 + 0.0625211i) q^{74} +(1.65175 - 8.57007i) q^{75} +(1.53237 - 10.6579i) q^{76} +(7.62649 - 1.13165i) q^{77} +(-0.940597 - 0.604485i) q^{78} +(5.57441 + 7.08844i) q^{79} +(-14.0305 - 1.33976i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(0.897339 + 1.14106i) q^{82} +(5.40796 + 3.47549i) q^{83} +(-1.91255 + 4.84048i) q^{84} +(2.77362 - 19.2910i) q^{85} +(0.253320 - 1.31435i) q^{86} +(-1.43833 + 0.0685161i) q^{87} +(0.396479 + 2.05713i) q^{88} +(-0.473814 - 1.95309i) q^{89} +(0.278920 - 0.610750i) q^{90} +(6.13534 + 15.1272i) q^{91} +(8.20443 - 4.65735i) q^{92} +(-3.65228 - 6.32594i) q^{93} +(1.01018 - 0.719349i) q^{94} +(14.6776 - 13.9950i) q^{95} +(-2.01019 - 0.695733i) q^{96} +(-4.63612 + 2.97945i) q^{97} +(-1.06091 + 0.695408i) q^{98} +(2.88444 + 0.414720i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.180396 0.0172257i 0.127559 0.0121804i −0.0310812 0.999517i \(-0.509895\pi\)
0.158640 + 0.987336i \(0.449289\pi\)
\(3\) −0.690079 0.723734i −0.398417 0.417848i
\(4\) −1.93161 + 0.372288i −0.965806 + 0.186144i
\(5\) −3.29323 1.69778i −1.47278 0.759269i −0.479777 0.877391i \(-0.659282\pi\)
−0.992999 + 0.118122i \(0.962313\pi\)
\(6\) −0.136954 0.118671i −0.0559113 0.0484474i
\(7\) 0.635350 + 2.56833i 0.240140 + 0.970738i
\(8\) −0.689793 + 0.202541i −0.243879 + 0.0716092i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) −0.623329 0.249543i −0.197114 0.0789126i
\(11\) 0.277003 2.90091i 0.0835195 0.874656i −0.852504 0.522720i \(-0.824917\pi\)
0.936024 0.351936i \(-0.114477\pi\)
\(12\) 1.60240 + 1.14107i 0.462574 + 0.329397i
\(13\) 6.10712 0.878071i 1.69381 0.243533i 0.773241 0.634112i \(-0.218634\pi\)
0.920569 + 0.390579i \(0.127725\pi\)
\(14\) 0.158856 + 0.452372i 0.0424560 + 0.120901i
\(15\) 1.04385 + 3.55502i 0.269520 + 0.917902i
\(16\) 3.53155 1.41382i 0.882888 0.353455i
\(17\) 1.72042 + 4.97084i 0.417264 + 1.20560i 0.936407 + 0.350917i \(0.114130\pi\)
−0.519143 + 0.854688i \(0.673749\pi\)
\(18\) 0.00862262 + 0.181011i 0.00203237 + 0.0426647i
\(19\) −1.79025 + 5.17257i −0.410710 + 1.18667i 0.530158 + 0.847899i \(0.322132\pi\)
−0.940869 + 0.338771i \(0.889989\pi\)
\(20\) 6.99330 + 2.05342i 1.56375 + 0.459158i
\(21\) 1.42035 2.23218i 0.309945 0.487101i
\(22\) 0.528083i 0.112588i
\(23\) −4.54339 + 1.53545i −0.947362 + 0.320164i
\(24\) 0.622598 + 0.359457i 0.127087 + 0.0733738i
\(25\) 5.06261 + 7.10945i 1.01252 + 1.42189i
\(26\) 1.08657 0.263600i 0.213094 0.0516961i
\(27\) 0.755750 0.654861i 0.145444 0.126028i
\(28\) −2.18341 4.72449i −0.412625 0.892844i
\(29\) 0.942973 1.08825i 0.175106 0.202083i −0.661412 0.750023i \(-0.730042\pi\)
0.836518 + 0.547940i \(0.184588\pi\)
\(30\) 0.249543 + 0.623329i 0.0455602 + 0.113804i
\(31\) 7.09866 + 1.72212i 1.27496 + 0.309301i 0.815427 0.578860i \(-0.196502\pi\)
0.459531 + 0.888162i \(0.348018\pi\)
\(32\) 1.89071 0.974731i 0.334234 0.172310i
\(33\) −2.29064 + 1.80138i −0.398749 + 0.313580i
\(34\) 0.395983 + 0.867082i 0.0679105 + 0.148703i
\(35\) 2.26810 9.53678i 0.383379 1.61201i
\(36\) −0.279956 1.94714i −0.0466594 0.324523i
\(37\) −7.24261 0.345008i −1.19068 0.0567190i −0.557132 0.830424i \(-0.688098\pi\)
−0.633546 + 0.773705i \(0.718401\pi\)
\(38\) −0.233851 + 0.963948i −0.0379357 + 0.156373i
\(39\) −4.84989 3.81399i −0.776603 0.610727i
\(40\) 2.61551 + 0.504099i 0.413549 + 0.0797051i
\(41\) 4.33080 + 6.73886i 0.676358 + 1.05243i 0.994535 + 0.104402i \(0.0332928\pi\)
−0.318178 + 0.948031i \(0.603071\pi\)
\(42\) 0.217774 0.427141i 0.0336032 0.0659094i
\(43\) 2.08099 7.08722i 0.317349 1.08079i −0.634169 0.773195i \(-0.718658\pi\)
0.951517 0.307595i \(-0.0995243\pi\)
\(44\) 0.544909 + 5.70655i 0.0821482 + 0.860295i
\(45\) 1.85255 3.20871i 0.276162 0.478327i
\(46\) −0.793158 + 0.355252i −0.116945 + 0.0523791i
\(47\) 5.92656 3.42170i 0.864477 0.499106i −0.00103190 0.999999i \(-0.500328\pi\)
0.865509 + 0.500893i \(0.166995\pi\)
\(48\) −3.46028 1.58026i −0.499448 0.228090i
\(49\) −6.19266 + 3.26358i −0.884666 + 0.466226i
\(50\) 1.03574 + 1.19531i 0.146476 + 0.169042i
\(51\) 2.41033 4.67540i 0.337514 0.654687i
\(52\) −11.4697 + 3.96970i −1.59056 + 0.550498i
\(53\) −2.09068 + 2.65852i −0.287178 + 0.365176i −0.908142 0.418663i \(-0.862499\pi\)
0.620964 + 0.783839i \(0.286741\pi\)
\(54\) 0.125054 0.131152i 0.0170176 0.0178476i
\(55\) −5.83732 + 9.08305i −0.787105 + 1.22476i
\(56\) −0.958453 1.64293i −0.128079 0.219546i
\(57\) 4.97898 2.27382i 0.659482 0.301175i
\(58\) 0.151362 0.212559i 0.0198749 0.0279103i
\(59\) 1.05083 2.62485i 0.136807 0.341727i −0.844106 0.536177i \(-0.819868\pi\)
0.980912 + 0.194450i \(0.0622923\pi\)
\(60\) −3.33980 6.47831i −0.431166 0.836346i
\(61\) 6.10050 + 5.81682i 0.781089 + 0.744767i 0.971526 0.236932i \(-0.0761420\pi\)
−0.190437 + 0.981699i \(0.560990\pi\)
\(62\) 1.31023 + 0.188383i 0.166400 + 0.0239247i
\(63\) −2.59565 + 0.512424i −0.327022 + 0.0645594i
\(64\) −6.07604 + 3.90484i −0.759505 + 0.488104i
\(65\) −21.6029 7.47684i −2.67951 0.927387i
\(66\) −0.382191 + 0.364419i −0.0470445 + 0.0448568i
\(67\) −4.99918 + 3.55990i −0.610747 + 0.434911i −0.843127 0.537714i \(-0.819288\pi\)
0.232380 + 0.972625i \(0.425349\pi\)
\(68\) −5.17377 8.96123i −0.627412 1.08671i
\(69\) 4.24656 + 2.22862i 0.511225 + 0.268295i
\(70\) 0.244878 1.75946i 0.0292685 0.210296i
\(71\) −3.13680 + 6.86863i −0.372270 + 0.815157i 0.627075 + 0.778959i \(0.284252\pi\)
−0.999345 + 0.0361980i \(0.988475\pi\)
\(72\) −0.169490 0.698649i −0.0199746 0.0823366i
\(73\) 0.943382 + 4.89473i 0.110414 + 0.572885i 0.994428 + 0.105423i \(0.0336195\pi\)
−0.884013 + 0.467462i \(0.845168\pi\)
\(74\) −1.31248 + 0.0625211i −0.152573 + 0.00726793i
\(75\) 1.65175 8.57007i 0.190727 0.989586i
\(76\) 1.53237 10.6579i 0.175775 1.22254i
\(77\) 7.62649 1.13165i 0.869119 0.128964i
\(78\) −0.940597 0.604485i −0.106502 0.0684444i
\(79\) 5.57441 + 7.08844i 0.627170 + 0.797512i 0.990987 0.133959i \(-0.0427689\pi\)
−0.363817 + 0.931471i \(0.618526\pi\)
\(80\) −14.0305 1.33976i −1.56866 0.149789i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) 0.897339 + 1.14106i 0.0990946 + 0.126009i
\(83\) 5.40796 + 3.47549i 0.593601 + 0.381484i 0.802676 0.596415i \(-0.203409\pi\)
−0.209075 + 0.977900i \(0.567045\pi\)
\(84\) −1.91255 + 4.84048i −0.208676 + 0.528139i
\(85\) 2.77362 19.2910i 0.300842 2.09240i
\(86\) 0.253320 1.31435i 0.0273162 0.141730i
\(87\) −1.43833 + 0.0685161i −0.154205 + 0.00734569i
\(88\) 0.396479 + 2.05713i 0.0422648 + 0.219291i
\(89\) −0.473814 1.95309i −0.0502242 0.207027i 0.941171 0.337931i \(-0.109727\pi\)
−0.991395 + 0.130904i \(0.958212\pi\)
\(90\) 0.278920 0.610750i 0.0294007 0.0643787i
\(91\) 6.13534 + 15.1272i 0.643158 + 1.58576i
\(92\) 8.20443 4.65735i 0.855371 0.485562i
\(93\) −3.65228 6.32594i −0.378724 0.655970i
\(94\) 1.01018 0.719349i 0.104193 0.0741952i
\(95\) 14.6776 13.9950i 1.50589 1.43586i
\(96\) −2.01019 0.695733i −0.205164 0.0710080i
\(97\) −4.63612 + 2.97945i −0.470727 + 0.302518i −0.754414 0.656399i \(-0.772079\pi\)
0.283687 + 0.958917i \(0.408442\pi\)
\(98\) −1.06091 + 0.695408i −0.107168 + 0.0702469i
\(99\) 2.88444 + 0.414720i 0.289897 + 0.0416809i
\(100\) −12.4258 11.8479i −1.24258 1.18479i
\(101\) −1.33092 2.58162i −0.132431 0.256881i 0.813291 0.581857i \(-0.197674\pi\)
−0.945722 + 0.324977i \(0.894644\pi\)
\(102\) 0.354277 0.884941i 0.0350787 0.0876222i
\(103\) −2.62118 + 3.68094i −0.258273 + 0.362693i −0.923270 0.384153i \(-0.874494\pi\)
0.664997 + 0.746846i \(0.268433\pi\)
\(104\) −4.03480 + 1.84263i −0.395645 + 0.180685i
\(105\) −8.46727 + 4.93963i −0.826320 + 0.482059i
\(106\) −0.331356 + 0.515599i −0.0321841 + 0.0500794i
\(107\) −5.66641 + 5.94275i −0.547792 + 0.574508i −0.938182 0.346142i \(-0.887492\pi\)
0.390390 + 0.920650i \(0.372340\pi\)
\(108\) −1.21602 + 1.54629i −0.117011 + 0.148792i
\(109\) 14.7744 5.11348i 1.41513 0.489782i 0.490768 0.871290i \(-0.336716\pi\)
0.924365 + 0.381508i \(0.124595\pi\)
\(110\) −0.896566 + 1.73910i −0.0854842 + 0.165816i
\(111\) 4.74828 + 5.47981i 0.450687 + 0.520120i
\(112\) 5.87493 + 8.17193i 0.555129 + 0.772174i
\(113\) 14.0826 + 6.43133i 1.32478 + 0.605008i 0.947104 0.320928i \(-0.103995\pi\)
0.377680 + 0.925936i \(0.376722\pi\)
\(114\) 0.859018 0.495954i 0.0804544 0.0464504i
\(115\) 17.5693 + 2.65707i 1.63834 + 0.247773i
\(116\) −1.41632 + 2.45313i −0.131502 + 0.227768i
\(117\) 0.586488 + 6.14198i 0.0542209 + 0.567826i
\(118\) 0.144351 0.491613i 0.0132886 0.0452567i
\(119\) −11.6737 + 7.57684i −1.07013 + 0.694567i
\(120\) −1.44008 2.24081i −0.131461 0.204557i
\(121\) 2.46269 + 0.474644i 0.223881 + 0.0431495i
\(122\) 1.20070 + 0.944243i 0.108707 + 0.0854877i
\(123\) 1.88855 7.78469i 0.170284 0.701922i
\(124\) −14.3530 0.683717i −1.28894 0.0613996i
\(125\) −1.96563 13.6713i −0.175811 1.22279i
\(126\) −0.459418 + 0.137151i −0.0409282 + 0.0122184i
\(127\) 1.12042 + 2.45338i 0.0994213 + 0.217702i 0.952806 0.303579i \(-0.0981816\pi\)
−0.853385 + 0.521281i \(0.825454\pi\)
\(128\) −4.37298 + 3.43895i −0.386521 + 0.303963i
\(129\) −6.56531 + 3.38465i −0.578043 + 0.298002i
\(130\) −4.02586 0.976664i −0.353092 0.0856591i
\(131\) −7.72111 19.2864i −0.674597 1.68506i −0.727182 0.686445i \(-0.759170\pi\)
0.0525847 0.998616i \(-0.483254\pi\)
\(132\) 3.75399 4.33234i 0.326743 0.377082i
\(133\) −14.4223 1.31155i −1.25057 0.113726i
\(134\) −0.840509 + 0.728305i −0.0726089 + 0.0629160i
\(135\) −3.60066 + 0.873511i −0.309896 + 0.0751799i
\(136\) −2.19354 3.08039i −0.188094 0.264141i
\(137\) −4.46232 2.57632i −0.381242 0.220110i 0.297116 0.954841i \(-0.403975\pi\)
−0.678359 + 0.734731i \(0.737308\pi\)
\(138\) 0.804450 + 0.328884i 0.0684793 + 0.0279965i
\(139\) 10.2274i 0.867476i 0.901039 + 0.433738i \(0.142806\pi\)
−0.901039 + 0.433738i \(0.857194\pi\)
\(140\) −0.830668 + 19.2657i −0.0702043 + 1.62825i
\(141\) −6.56619 1.92801i −0.552973 0.162368i
\(142\) −0.447548 + 1.29311i −0.0375574 + 0.108515i
\(143\) −0.855512 17.9594i −0.0715415 1.50184i
\(144\) 1.24418 + 3.59482i 0.103682 + 0.299569i
\(145\) −4.95303 + 1.98289i −0.411327 + 0.164670i
\(146\) 0.254497 + 0.866738i 0.0210623 + 0.0717317i
\(147\) 6.63539 + 2.22971i 0.547278 + 0.183904i
\(148\) 14.1184 2.02991i 1.16052 0.166858i
\(149\) 12.9543 + 9.22474i 1.06126 + 0.755721i 0.970730 0.240173i \(-0.0772042\pi\)
0.0905309 + 0.995894i \(0.471144\pi\)
\(150\) 0.150342 1.57446i 0.0122754 0.128554i
\(151\) −15.3965 6.16385i −1.25295 0.501607i −0.352195 0.935927i \(-0.614565\pi\)
−0.900759 + 0.434320i \(0.856989\pi\)
\(152\) 0.187238 3.93060i 0.0151870 0.318814i
\(153\) −5.04707 + 1.48195i −0.408031 + 0.119809i
\(154\) 1.35629 0.335517i 0.109293 0.0270367i
\(155\) −20.4537 17.7233i −1.64288 1.42357i
\(156\) 10.7880 + 5.56160i 0.863731 + 0.445284i
\(157\) 1.79642 0.346233i 0.143370 0.0276324i −0.117061 0.993125i \(-0.537347\pi\)
0.260431 + 0.965492i \(0.416135\pi\)
\(158\) 1.12770 + 1.18270i 0.0897153 + 0.0940907i
\(159\) 3.36680 0.321490i 0.267005 0.0254958i
\(160\) −7.88143 −0.623082
\(161\) −6.83019 10.6934i −0.538295 0.842757i
\(162\) −0.181216 −0.0142377
\(163\) −7.91195 + 0.755499i −0.619711 + 0.0591753i −0.400190 0.916432i \(-0.631056\pi\)
−0.219522 + 0.975608i \(0.570450\pi\)
\(164\) −10.8742 11.4046i −0.849134 0.890546i
\(165\) 10.6019 2.04335i 0.825359 0.159075i
\(166\) 1.03544 + 0.533807i 0.0803658 + 0.0414314i
\(167\) 5.34740 + 4.63355i 0.413794 + 0.358555i 0.836740 0.547600i \(-0.184459\pi\)
−0.422946 + 0.906155i \(0.639004\pi\)
\(168\) −0.527638 + 1.82742i −0.0407081 + 0.140988i
\(169\) 24.0525 7.06245i 1.85019 0.543265i
\(170\) 0.168049 3.52779i 0.0128888 0.270569i
\(171\) −5.08153 2.03434i −0.388594 0.155570i
\(172\) −1.38119 + 14.4645i −0.105315 + 1.10291i
\(173\) 13.4454 + 9.57441i 1.02223 + 0.727929i 0.962776 0.270302i \(-0.0871234\pi\)
0.0594578 + 0.998231i \(0.481063\pi\)
\(174\) −0.258288 + 0.0371362i −0.0195808 + 0.00281529i
\(175\) −15.0429 + 17.5195i −1.13714 + 1.32435i
\(176\) −3.12311 10.6363i −0.235413 0.801744i
\(177\) −2.62485 + 1.05083i −0.197296 + 0.0789854i
\(178\) −0.119117 0.344167i −0.00892823 0.0257964i
\(179\) −0.425662 8.93575i −0.0318155 0.667889i −0.957299 0.289101i \(-0.906644\pi\)
0.925483 0.378788i \(-0.123659\pi\)
\(180\) −2.38385 + 6.88767i −0.177681 + 0.513377i
\(181\) −10.1352 2.97596i −0.753342 0.221201i −0.117556 0.993066i \(-0.537506\pi\)
−0.635787 + 0.771865i \(0.719324\pi\)
\(182\) 1.36737 + 2.62320i 0.101356 + 0.194445i
\(183\) 8.42920i 0.623105i
\(184\) 2.82300 1.97937i 0.208115 0.145921i
\(185\) 23.2658 + 13.4325i 1.71054 + 0.987579i
\(186\) −0.767825 1.07826i −0.0562997 0.0790618i
\(187\) 14.8965 3.61385i 1.08934 0.264271i
\(188\) −10.1739 + 8.81578i −0.742011 + 0.642957i
\(189\) 2.16207 + 1.52495i 0.157267 + 0.110924i
\(190\) 2.40669 2.77747i 0.174600 0.201499i
\(191\) −2.87309 7.17662i −0.207889 0.519282i 0.787377 0.616472i \(-0.211439\pi\)
−0.995266 + 0.0971902i \(0.969014\pi\)
\(192\) 7.01901 + 1.70279i 0.506553 + 0.122889i
\(193\) 7.22974 3.72719i 0.520408 0.268289i −0.177948 0.984040i \(-0.556946\pi\)
0.698355 + 0.715751i \(0.253915\pi\)
\(194\) −0.785013 + 0.617341i −0.0563606 + 0.0443225i
\(195\) 9.49647 + 20.7944i 0.680056 + 1.48912i
\(196\) 10.7468 8.60942i 0.767630 0.614958i
\(197\) 2.64487 + 18.3955i 0.188439 + 1.31062i 0.836050 + 0.548653i \(0.184859\pi\)
−0.647611 + 0.761971i \(0.724232\pi\)
\(198\) 0.527484 + 0.0251272i 0.0374867 + 0.00178571i
\(199\) 4.30349 17.7392i 0.305066 1.25750i −0.588474 0.808516i \(-0.700271\pi\)
0.893540 0.448983i \(-0.148214\pi\)
\(200\) −4.93211 3.87866i −0.348753 0.274262i
\(201\) 6.02625 + 1.16146i 0.425059 + 0.0819234i
\(202\) −0.284562 0.442787i −0.0200217 0.0311544i
\(203\) 3.39410 + 1.73045i 0.238219 + 0.121454i
\(204\) −2.91524 + 9.92839i −0.204108 + 0.695126i
\(205\) −2.82124 29.5453i −0.197044 2.06354i
\(206\) −0.409443 + 0.709177i −0.0285273 + 0.0494107i
\(207\) −1.31753 4.61130i −0.0915747 0.320508i
\(208\) 20.3262 11.7353i 1.40937 0.813698i
\(209\) 14.5092 + 6.62615i 1.00363 + 0.458341i
\(210\) −1.44237 + 1.03694i −0.0995329 + 0.0715558i
\(211\) −9.56801 11.0421i −0.658689 0.760168i 0.323873 0.946100i \(-0.395015\pi\)
−0.982562 + 0.185933i \(0.940469\pi\)
\(212\) 3.04866 5.91357i 0.209383 0.406145i
\(213\) 7.13570 2.46969i 0.488930 0.169220i
\(214\) −0.919827 + 1.16965i −0.0628781 + 0.0799560i
\(215\) −18.8857 + 19.8067i −1.28799 + 1.35081i
\(216\) −0.388674 + 0.604789i −0.0264459 + 0.0411507i
\(217\) 0.0871654 + 19.3259i 0.00591718 + 1.31193i
\(218\) 2.57716 1.17695i 0.174547 0.0797130i
\(219\) 2.89147 4.06051i 0.195388 0.274384i
\(220\) 7.89393 19.7181i 0.532209 1.32939i
\(221\) 14.8716 + 28.8468i 1.00037 + 1.94045i
\(222\) 0.950963 + 0.906741i 0.0638245 + 0.0608565i
\(223\) 7.24826 + 1.04214i 0.485379 + 0.0697870i 0.380660 0.924715i \(-0.375697\pi\)
0.104719 + 0.994502i \(0.466606\pi\)
\(224\) 3.70470 + 4.23669i 0.247531 + 0.283076i
\(225\) −7.34228 + 4.71860i −0.489486 + 0.314573i
\(226\) 2.65123 + 0.917600i 0.176357 + 0.0610378i
\(227\) −12.4511 + 11.8721i −0.826408 + 0.787978i −0.979756 0.200194i \(-0.935843\pi\)
0.153348 + 0.988172i \(0.450994\pi\)
\(228\) −8.77094 + 6.24576i −0.580869 + 0.413635i
\(229\) 1.54507 + 2.67615i 0.102101 + 0.176845i 0.912550 0.408965i \(-0.134110\pi\)
−0.810449 + 0.585809i \(0.800777\pi\)
\(230\) 3.21519 + 0.176680i 0.212003 + 0.0116500i
\(231\) −6.08189 4.73862i −0.400159 0.311778i
\(232\) −0.430041 + 0.941658i −0.0282336 + 0.0618229i
\(233\) −0.356389 1.46905i −0.0233478 0.0962410i 0.958946 0.283590i \(-0.0915255\pi\)
−0.982293 + 0.187349i \(0.940010\pi\)
\(234\) 0.211600 + 1.09788i 0.0138327 + 0.0717709i
\(235\) −25.3268 + 1.20646i −1.65214 + 0.0787010i
\(236\) −1.05260 + 5.46141i −0.0685184 + 0.355507i
\(237\) 1.28336 8.92598i 0.0833633 0.579805i
\(238\) −1.97537 + 1.56792i −0.128044 + 0.101633i
\(239\) 0.514572 + 0.330695i 0.0332849 + 0.0213909i 0.557177 0.830393i \(-0.311884\pi\)
−0.523893 + 0.851784i \(0.675521\pi\)
\(240\) 8.71256 + 11.0789i 0.562393 + 0.715141i
\(241\) −13.7413 1.31213i −0.885155 0.0845220i −0.357432 0.933939i \(-0.616348\pi\)
−0.527722 + 0.849417i \(0.676954\pi\)
\(242\) 0.452434 + 0.0432023i 0.0290836 + 0.00277715i
\(243\) 0.618159 + 0.786053i 0.0396549 + 0.0504253i
\(244\) −13.9493 8.96469i −0.893014 0.573905i
\(245\) 25.9347 0.233951i 1.65691 0.0149466i
\(246\) 0.206589 1.43686i 0.0131716 0.0916106i
\(247\) −6.39135 + 33.1615i −0.406672 + 2.11002i
\(248\) −5.24541 + 0.249870i −0.333084 + 0.0158667i
\(249\) −1.21659 6.31229i −0.0770985 0.400025i
\(250\) −0.590088 2.43238i −0.0373205 0.153837i
\(251\) −2.65558 + 5.81491i −0.167619 + 0.367034i −0.974737 0.223356i \(-0.928299\pi\)
0.807118 + 0.590390i \(0.201026\pi\)
\(252\) 4.82303 1.95613i 0.303822 0.123225i
\(253\) 3.19567 + 13.6053i 0.200910 + 0.855356i
\(254\) 0.244380 + 0.423279i 0.0153338 + 0.0265589i
\(255\) −15.8756 + 11.3049i −0.994166 + 0.707943i
\(256\) 9.72486 9.27264i 0.607804 0.579540i
\(257\) 12.7883 + 4.42608i 0.797713 + 0.276091i 0.695364 0.718657i \(-0.255243\pi\)
0.102349 + 0.994749i \(0.467364\pi\)
\(258\) −1.12605 + 0.723669i −0.0701048 + 0.0450536i
\(259\) −3.71550 18.8206i −0.230870 1.16946i
\(260\) 44.5119 + 6.39985i 2.76051 + 0.396902i
\(261\) 1.04215 + 0.993686i 0.0645074 + 0.0615076i
\(262\) −1.72508 3.34618i −0.106576 0.206728i
\(263\) −1.74852 + 4.36760i −0.107819 + 0.269318i −0.972459 0.233073i \(-0.925122\pi\)
0.864641 + 0.502391i \(0.167546\pi\)
\(264\) 1.21521 1.70653i 0.0747911 0.105029i
\(265\) 11.3987 5.20560i 0.700215 0.319777i
\(266\) −2.62432 + 0.0118364i −0.160907 + 0.000725739i
\(267\) −1.08655 + 1.69070i −0.0664957 + 0.103469i
\(268\) 8.33117 8.73748i 0.508907 0.533726i
\(269\) −17.7609 + 22.5848i −1.08290 + 1.37702i −0.162196 + 0.986759i \(0.551858\pi\)
−0.920704 + 0.390261i \(0.872385\pi\)
\(270\) −0.634497 + 0.219602i −0.0386143 + 0.0133645i
\(271\) 4.49969 8.72818i 0.273337 0.530199i −0.711713 0.702471i \(-0.752080\pi\)
0.985050 + 0.172271i \(0.0551105\pi\)
\(272\) 13.1036 + 15.1224i 0.794524 + 0.916930i
\(273\) 6.71422 14.8793i 0.406363 0.900538i
\(274\) −0.849363 0.387891i −0.0513119 0.0234334i
\(275\) 22.0262 12.7168i 1.32823 0.766854i
\(276\) −9.03239 2.72389i −0.543686 0.163959i
\(277\) −5.47613 + 9.48493i −0.329028 + 0.569894i −0.982319 0.187213i \(-0.940055\pi\)
0.653291 + 0.757107i \(0.273388\pi\)
\(278\) 0.176174 + 1.84498i 0.0105662 + 0.110654i
\(279\) −2.05793 + 7.00868i −0.123205 + 0.419599i
\(280\) 0.367073 + 7.03779i 0.0219368 + 0.420588i
\(281\) −15.8859 24.7189i −0.947672 1.47461i −0.878918 0.476973i \(-0.841734\pi\)
−0.0687541 0.997634i \(-0.521902\pi\)
\(282\) −1.21772 0.234697i −0.0725144 0.0139760i
\(283\) 2.55670 + 2.01061i 0.151980 + 0.119518i 0.691254 0.722612i \(-0.257059\pi\)
−0.539274 + 0.842131i \(0.681301\pi\)
\(284\) 3.50197 14.4353i 0.207804 0.856579i
\(285\) −20.2573 0.964977i −1.19994 0.0571603i
\(286\) −0.463694 3.22506i −0.0274188 0.190702i
\(287\) −14.5561 + 15.4045i −0.859217 + 0.909297i
\(288\) 0.883663 + 1.93495i 0.0520704 + 0.114018i
\(289\) −8.38645 + 6.59517i −0.493320 + 0.387951i
\(290\) −0.859348 + 0.443025i −0.0504627 + 0.0260153i
\(291\) 5.35562 + 1.29926i 0.313952 + 0.0761639i
\(292\) −3.64449 9.10351i −0.213278 0.532742i
\(293\) 2.94929 3.40367i 0.172300 0.198844i −0.663032 0.748591i \(-0.730730\pi\)
0.835331 + 0.549747i \(0.185276\pi\)
\(294\) 1.23540 + 0.287931i 0.0720502 + 0.0167925i
\(295\) −7.91704 + 6.86016i −0.460948 + 0.399414i
\(296\) 5.06578 1.22895i 0.294443 0.0714310i
\(297\) −1.69034 2.37376i −0.0980838 0.137739i
\(298\) 2.49581 + 1.44096i 0.144578 + 0.0834724i
\(299\) −26.3988 + 13.3666i −1.52668 + 0.773011i
\(300\) 17.1690i 0.991251i
\(301\) 19.5245 + 0.841824i 1.12537 + 0.0485219i
\(302\) −2.88365 0.846715i −0.165935 0.0487230i
\(303\) −0.949968 + 2.74475i −0.0545742 + 0.157682i
\(304\) 0.990745 + 20.7983i 0.0568231 + 1.19286i
\(305\) −10.2147 29.5134i −0.584891 1.68993i
\(306\) −0.884941 + 0.354277i −0.0505887 + 0.0202527i
\(307\) 0.362712 + 1.23528i 0.0207011 + 0.0705014i 0.969196 0.246292i \(-0.0792121\pi\)
−0.948495 + 0.316793i \(0.897394\pi\)
\(308\) −14.3101 + 5.02516i −0.815394 + 0.286335i
\(309\) 4.47284 0.643098i 0.254451 0.0365846i
\(310\) −3.99506 2.84487i −0.226904 0.161578i
\(311\) −1.57147 + 16.4571i −0.0891096 + 0.933198i 0.834791 + 0.550566i \(0.185588\pi\)
−0.923901 + 0.382632i \(0.875018\pi\)
\(312\) 4.11791 + 1.64856i 0.233131 + 0.0933314i
\(313\) 0.519612 10.9080i 0.0293702 0.616557i −0.935420 0.353538i \(-0.884979\pi\)
0.964791 0.263019i \(-0.0847183\pi\)
\(314\) 0.318103 0.0934035i 0.0179516 0.00527107i
\(315\) 9.41806 + 2.71931i 0.530648 + 0.153216i
\(316\) −13.4065 11.6168i −0.754177 0.653498i
\(317\) 7.85472 + 4.04939i 0.441165 + 0.227436i 0.664474 0.747311i \(-0.268656\pi\)
−0.223309 + 0.974748i \(0.571686\pi\)
\(318\) 0.601818 0.115991i 0.0337483 0.00650445i
\(319\) −2.89570 3.03693i −0.162128 0.170035i
\(320\) 26.6393 2.54375i 1.48918 0.142200i
\(321\) 8.21124 0.458307
\(322\) −1.41634 1.81139i −0.0789294 0.100945i
\(323\) −28.7920 −1.60203
\(324\) 1.95825 0.186991i 0.108792 0.0103884i
\(325\) 37.1606 + 38.9729i 2.06130 + 2.16183i
\(326\) −1.41427 + 0.272578i −0.0783290 + 0.0150967i
\(327\) −13.8963 7.16405i −0.768468 0.396173i
\(328\) −4.35225 3.77125i −0.240313 0.208232i
\(329\) 12.5535 + 13.0474i 0.692097 + 0.719326i
\(330\) 1.87734 0.551238i 0.103344 0.0303447i
\(331\) 0.459240 9.64064i 0.0252421 0.529897i −0.950467 0.310826i \(-0.899394\pi\)
0.975709 0.219071i \(-0.0703027\pi\)
\(332\) −11.7400 4.69997i −0.644314 0.257944i
\(333\) 0.689235 7.21799i 0.0377698 0.395544i
\(334\) 1.04446 + 0.743759i 0.0571505 + 0.0406967i
\(335\) 22.5073 3.23607i 1.22971 0.176805i
\(336\) 1.86014 9.89116i 0.101479 0.539607i
\(337\) −1.41811 4.82964i −0.0772494 0.263087i 0.911808 0.410616i \(-0.134686\pi\)
−0.989058 + 0.147529i \(0.952868\pi\)
\(338\) 4.21731 1.68836i 0.229391 0.0918345i
\(339\) −5.06356 14.6302i −0.275015 0.794604i
\(340\) 1.82423 + 38.2953i 0.0989327 + 2.07685i
\(341\) 6.96205 20.1155i 0.377016 1.08932i
\(342\) −0.951729 0.279453i −0.0514636 0.0151111i
\(343\) −12.3165 13.8313i −0.665026 0.746820i
\(344\) 5.31020i 0.286307i
\(345\) −10.2012 14.5491i −0.549213 0.783295i
\(346\) 2.59041 + 1.49558i 0.139262 + 0.0804027i
\(347\) −10.8587 15.2489i −0.582927 0.818606i 0.412813 0.910816i \(-0.364546\pi\)
−0.995740 + 0.0922099i \(0.970607\pi\)
\(348\) 2.75279 0.667819i 0.147565 0.0357988i
\(349\) 27.0901 23.4737i 1.45010 1.25652i 0.540295 0.841475i \(-0.318313\pi\)
0.909802 0.415041i \(-0.136233\pi\)
\(350\) −2.41189 + 3.41956i −0.128921 + 0.182783i
\(351\) 4.04044 4.66291i 0.215663 0.248888i
\(352\) −2.30387 5.75479i −0.122797 0.306731i
\(353\) 11.2941 + 2.73993i 0.601126 + 0.145832i 0.524763 0.851248i \(-0.324154\pi\)
0.0763634 + 0.997080i \(0.475669\pi\)
\(354\) −0.455411 + 0.234781i −0.0242048 + 0.0124784i
\(355\) 21.9916 17.2944i 1.16719 0.917891i
\(356\) 1.64234 + 3.59622i 0.0870437 + 0.190599i
\(357\) 13.5394 + 3.22003i 0.716580 + 0.170422i
\(358\) −0.230712 1.60464i −0.0121935 0.0848077i
\(359\) 20.1279 + 0.958811i 1.06231 + 0.0506041i 0.571453 0.820635i \(-0.306380\pi\)
0.490859 + 0.871239i \(0.336683\pi\)
\(360\) −0.627979 + 2.58857i −0.0330974 + 0.136429i
\(361\) −8.61553 6.77533i −0.453449 0.356596i
\(362\) −1.87961 0.362265i −0.0987899 0.0190402i
\(363\) −1.35593 2.10987i −0.0711681 0.110740i
\(364\) −17.4828 26.9358i −0.916346 1.41182i
\(365\) 5.20339 17.7211i 0.272358 0.927565i
\(366\) −0.145199 1.52059i −0.00758967 0.0794826i
\(367\) −9.66872 + 16.7467i −0.504703 + 0.874171i 0.495282 + 0.868732i \(0.335065\pi\)
−0.999985 + 0.00543921i \(0.998269\pi\)
\(368\) −13.8744 + 11.8461i −0.723251 + 0.617519i
\(369\) −6.93729 + 4.00525i −0.361141 + 0.208505i
\(370\) 4.42844 + 2.02240i 0.230224 + 0.105140i
\(371\) −8.15628 3.68048i −0.423453 0.191081i
\(372\) 9.40986 + 10.8596i 0.487879 + 0.563042i
\(373\) −0.301632 + 0.585084i −0.0156179 + 0.0302945i −0.896515 0.443013i \(-0.853910\pi\)
0.880897 + 0.473307i \(0.156940\pi\)
\(374\) 2.62501 0.908525i 0.135736 0.0469787i
\(375\) −8.53792 + 10.8568i −0.440896 + 0.560645i
\(376\) −3.39506 + 3.56064i −0.175087 + 0.183626i
\(377\) 4.80329 7.47407i 0.247382 0.384934i
\(378\) 0.416296 + 0.237851i 0.0214119 + 0.0122338i
\(379\) −10.8621 + 4.96057i −0.557950 + 0.254807i −0.674371 0.738393i \(-0.735585\pi\)
0.116421 + 0.993200i \(0.462858\pi\)
\(380\) −23.1412 + 32.4972i −1.18712 + 1.66707i
\(381\) 1.00242 2.50391i 0.0513553 0.128279i
\(382\) −0.641914 1.24514i −0.0328432 0.0637069i
\(383\) 8.04189 + 7.66793i 0.410922 + 0.391813i 0.867148 0.498051i \(-0.165951\pi\)
−0.456226 + 0.889864i \(0.650799\pi\)
\(384\) 5.50659 + 0.791728i 0.281007 + 0.0404027i
\(385\) −27.0370 9.22127i −1.37794 0.469960i
\(386\) 1.24001 0.796906i 0.0631148 0.0405614i
\(387\) 6.98017 + 2.41586i 0.354822 + 0.122805i
\(388\) 7.84597 7.48112i 0.398319 0.379796i
\(389\) −7.00924 + 4.99126i −0.355383 + 0.253067i −0.743779 0.668426i \(-0.766969\pi\)
0.388396 + 0.921492i \(0.373029\pi\)
\(390\) 2.07132 + 3.58763i 0.104885 + 0.181667i
\(391\) −15.4490 19.9428i −0.781291 1.00855i
\(392\) 3.61064 3.50546i 0.182365 0.177053i
\(393\) −8.63005 + 18.8972i −0.435329 + 0.953237i
\(394\) 0.793998 + 3.27291i 0.0400011 + 0.164887i
\(395\) −6.32322 32.8080i −0.318156 1.65075i
\(396\) −5.72601 + 0.272764i −0.287743 + 0.0137069i
\(397\) 6.45806 33.5076i 0.324121 1.68170i −0.345045 0.938586i \(-0.612136\pi\)
0.669166 0.743113i \(-0.266652\pi\)
\(398\) 0.470760 3.27421i 0.0235971 0.164121i
\(399\) 9.00333 + 11.3430i 0.450730 + 0.567860i
\(400\) 27.9304 + 17.9498i 1.39652 + 0.897488i
\(401\) −5.75150 7.31362i −0.287216 0.365225i 0.620939 0.783859i \(-0.286751\pi\)
−0.908155 + 0.418634i \(0.862509\pi\)
\(402\) 1.10712 + 0.105717i 0.0552179 + 0.00527267i
\(403\) 44.8645 + 4.28404i 2.23486 + 0.213403i
\(404\) 3.53192 + 4.49120i 0.175720 + 0.223446i
\(405\) 3.11693 + 2.00313i 0.154882 + 0.0995363i
\(406\) 0.642090 + 0.253700i 0.0318664 + 0.0125909i
\(407\) −3.00706 + 20.9146i −0.149055 + 1.03670i
\(408\) −0.715670 + 3.71325i −0.0354309 + 0.183833i
\(409\) −29.9116 + 1.42486i −1.47903 + 0.0704550i −0.771502 0.636227i \(-0.780494\pi\)
−0.707531 + 0.706682i \(0.750191\pi\)
\(410\) −1.01788 5.28125i −0.0502694 0.260822i
\(411\) 1.21478 + 5.00740i 0.0599208 + 0.246997i
\(412\) 3.69274 8.08597i 0.181928 0.398367i
\(413\) 7.40914 + 1.03119i 0.364580 + 0.0507414i
\(414\) −0.317110 0.809164i −0.0155851 0.0397682i
\(415\) −11.9090 20.6271i −0.584592 1.01254i
\(416\) 10.6909 7.61298i 0.524166 0.373257i
\(417\) 7.40191 7.05771i 0.362473 0.345617i
\(418\) 2.73155 + 0.945397i 0.133604 + 0.0462409i
\(419\) −32.4946 + 20.8830i −1.58747 + 1.02020i −0.614598 + 0.788840i \(0.710682\pi\)
−0.972868 + 0.231362i \(0.925682\pi\)
\(420\) 14.5165 12.6937i 0.708333 0.619389i
\(421\) 32.5474 + 4.67961i 1.58626 + 0.228070i 0.878276 0.478154i \(-0.158694\pi\)
0.707988 + 0.706225i \(0.249603\pi\)
\(422\) −1.91624 1.82713i −0.0932809 0.0889431i
\(423\) 3.13583 + 6.08265i 0.152469 + 0.295749i
\(424\) 0.903678 2.25728i 0.0438865 0.109623i
\(425\) −26.6301 + 37.3967i −1.29175 + 1.81401i
\(426\) 1.24471 0.568439i 0.0603063 0.0275410i
\(427\) −11.0636 + 19.3638i −0.535403 + 0.937081i
\(428\) 8.73288 13.5886i 0.422120 0.656831i
\(429\) −12.4075 + 13.0126i −0.599038 + 0.628253i
\(430\) −3.06571 + 3.89837i −0.147842 + 0.187996i
\(431\) −5.97164 + 2.06681i −0.287644 + 0.0995546i −0.467080 0.884215i \(-0.654694\pi\)
0.179436 + 0.983770i \(0.442573\pi\)
\(432\) 1.74311 3.38117i 0.0838656 0.162677i
\(433\) 2.12928 + 2.45732i 0.102327 + 0.118091i 0.804603 0.593813i \(-0.202378\pi\)
−0.702276 + 0.711905i \(0.747833\pi\)
\(434\) 0.348626 + 3.48480i 0.0167346 + 0.167276i
\(435\) 4.85307 + 2.21632i 0.232687 + 0.106265i
\(436\) −26.6348 + 15.3776i −1.27557 + 0.736453i
\(437\) 0.191539 26.2499i 0.00916257 1.25570i
\(438\) 0.451664 0.782306i 0.0215814 0.0373800i
\(439\) −0.105934 1.10939i −0.00505594 0.0529482i 0.992592 0.121497i \(-0.0387693\pi\)
−0.997648 + 0.0685483i \(0.978163\pi\)
\(440\) 2.18685 7.44773i 0.104254 0.355056i
\(441\) −2.96522 6.34093i −0.141201 0.301949i
\(442\) 3.17967 + 4.94767i 0.151242 + 0.235337i
\(443\) −18.8129 3.62590i −0.893830 0.172272i −0.278402 0.960465i \(-0.589805\pi\)
−0.615428 + 0.788193i \(0.711017\pi\)
\(444\) −11.2119 8.81714i −0.532093 0.418443i
\(445\) −1.75553 + 7.23640i −0.0832202 + 0.343038i
\(446\) 1.32551 + 0.0631416i 0.0627645 + 0.00298984i
\(447\) −2.26326 15.7413i −0.107048 0.744538i
\(448\) −13.8893 13.1244i −0.656209 0.620068i
\(449\) 9.16675 + 20.0724i 0.432606 + 0.947275i 0.992897 + 0.118979i \(0.0379621\pi\)
−0.560291 + 0.828296i \(0.689311\pi\)
\(450\) −1.24324 + 0.977691i −0.0586067 + 0.0460888i
\(451\) 20.7484 10.6966i 0.977006 0.503682i
\(452\) −29.5965 7.18003i −1.39210 0.337720i
\(453\) 6.16385 + 15.3965i 0.289603 + 0.723393i
\(454\) −2.04162 + 2.35615i −0.0958179 + 0.110580i
\(455\) 5.47760 60.2338i 0.256794 2.82381i
\(456\) −2.97392 + 2.57692i −0.139267 + 0.120675i
\(457\) −17.3692 + 4.21373i −0.812498 + 0.197110i −0.620420 0.784270i \(-0.713038\pi\)
−0.192078 + 0.981380i \(0.561523\pi\)
\(458\) 0.324823 + 0.456150i 0.0151780 + 0.0213145i
\(459\) 4.55541 + 2.63007i 0.212628 + 0.122761i
\(460\) −34.9262 + 1.40840i −1.62844 + 0.0656670i
\(461\) 14.2311i 0.662809i −0.943489 0.331404i \(-0.892478\pi\)
0.943489 0.331404i \(-0.107522\pi\)
\(462\) −1.17877 0.750061i −0.0548415 0.0348960i
\(463\) −22.6985 6.66489i −1.05489 0.309744i −0.292098 0.956388i \(-0.594353\pi\)
−0.762791 + 0.646645i \(0.776172\pi\)
\(464\) 1.79157 5.17640i 0.0831716 0.240308i
\(465\) 1.28777 + 27.0335i 0.0597187 + 1.25365i
\(466\) −0.0895965 0.258872i −0.00415048 0.0119920i
\(467\) 8.09350 3.24015i 0.374522 0.149936i −0.176762 0.984254i \(-0.556562\pi\)
0.551284 + 0.834317i \(0.314138\pi\)
\(468\) −3.41945 11.6456i −0.158064 0.538317i
\(469\) −12.3192 10.5778i −0.568849 0.488436i
\(470\) −4.54806 + 0.653912i −0.209786 + 0.0301627i
\(471\) −1.49026 1.06121i −0.0686673 0.0488978i
\(472\) −0.193215 + 2.02344i −0.00889345 + 0.0931364i
\(473\) −19.9829 7.99995i −0.918815 0.367838i
\(474\) 0.0777567 1.63231i 0.00357148 0.0749747i
\(475\) −45.8375 + 13.4591i −2.10317 + 0.617546i
\(476\) 19.7283 18.9815i 0.904244 0.870014i
\(477\) −2.55603 2.21481i −0.117033 0.101409i
\(478\) 0.0985229 + 0.0507921i 0.00450633 + 0.00232318i
\(479\) −29.3860 + 5.66368i −1.34268 + 0.258780i −0.809449 0.587191i \(-0.800234\pi\)
−0.533230 + 0.845971i \(0.679022\pi\)
\(480\) 5.43881 + 5.70406i 0.248247 + 0.260353i
\(481\) −44.5345 + 4.25252i −2.03060 + 0.193898i
\(482\) −2.50147 −0.113939
\(483\) −3.02579 + 12.3225i −0.137678 + 0.560694i
\(484\) −4.93366 −0.224257
\(485\) 20.3262 1.94092i 0.922967 0.0881327i
\(486\) 0.125054 + 0.131152i 0.00567254 + 0.00594919i
\(487\) 12.2167 2.35458i 0.553592 0.106696i 0.0952196 0.995456i \(-0.469645\pi\)
0.458373 + 0.888760i \(0.348433\pi\)
\(488\) −5.38623 2.77679i −0.243823 0.125700i
\(489\) 6.00665 + 5.20479i 0.271630 + 0.235369i
\(490\) 4.67447 0.488946i 0.211171 0.0220883i
\(491\) −23.5924 + 6.92736i −1.06471 + 0.312627i −0.766747 0.641950i \(-0.778126\pi\)
−0.297964 + 0.954577i \(0.596308\pi\)
\(492\) −0.749793 + 15.7401i −0.0338033 + 0.709618i
\(493\) 7.03182 + 2.81512i 0.316697 + 0.126786i
\(494\) −0.581743 + 6.09228i −0.0261738 + 0.274105i
\(495\) −8.79501 6.26290i −0.395307 0.281497i
\(496\) 27.5041 3.95449i 1.23497 0.177562i
\(497\) −19.6339 3.69236i −0.880701 0.165625i
\(498\) −0.328202 1.11775i −0.0147071 0.0500877i
\(499\) 7.17753 2.87345i 0.321310 0.128633i −0.205400 0.978678i \(-0.565850\pi\)
0.526710 + 0.850045i \(0.323425\pi\)
\(500\) 8.88648 + 25.6758i 0.397415 + 1.14826i
\(501\) −0.336672 7.06761i −0.0150414 0.315757i
\(502\) −0.378889 + 1.09473i −0.0169107 + 0.0488601i
\(503\) −31.4079 9.22220i −1.40041 0.411198i −0.507585 0.861602i \(-0.669462\pi\)
−0.892825 + 0.450404i \(0.851280\pi\)
\(504\) 1.68668 0.879194i 0.0751306 0.0391624i
\(505\) 10.7615i 0.478879i
\(506\) 0.810846 + 2.39928i 0.0360465 + 0.106661i
\(507\) −21.7095 12.5340i −0.964151 0.556653i
\(508\) −3.07758 4.32186i −0.136546 0.191751i
\(509\) 41.7763 10.1348i 1.85170 0.449218i 0.854205 0.519936i \(-0.174044\pi\)
0.997496 + 0.0707183i \(0.0225292\pi\)
\(510\) −2.66915 + 2.31283i −0.118192 + 0.102414i
\(511\) −11.9719 + 5.53278i −0.529606 + 0.244756i
\(512\) 8.88086 10.2491i 0.392482 0.452949i
\(513\) 2.03434 + 5.08153i 0.0898182 + 0.224355i
\(514\) 2.38320 + 0.578158i 0.105118 + 0.0255014i
\(515\) 14.8816 7.67198i 0.655760 0.338068i
\(516\) 11.4216 8.98202i 0.502806 0.395411i
\(517\) −8.28435 18.1402i −0.364345 0.797805i
\(518\) −0.994458 3.33116i −0.0436940 0.146363i
\(519\) −2.34905 16.3380i −0.103112 0.717158i
\(520\) 16.4159 + 0.781985i 0.719885 + 0.0342923i
\(521\) 6.59845 27.1992i 0.289083 1.19162i −0.623201 0.782062i \(-0.714168\pi\)
0.912285 0.409557i \(-0.134317\pi\)
\(522\) 0.205116 + 0.161305i 0.00897768 + 0.00706013i
\(523\) 4.47264 + 0.862031i 0.195575 + 0.0376940i 0.286098 0.958200i \(-0.407642\pi\)
−0.0905230 + 0.995894i \(0.528854\pi\)
\(524\) 22.0943 + 34.3794i 0.965193 + 1.50187i
\(525\) 23.0602 1.20276i 1.00643 0.0524928i
\(526\) −0.240191 + 0.818015i −0.0104728 + 0.0356672i
\(527\) 3.65234 + 38.2491i 0.159099 + 1.66615i
\(528\) −5.54268 + 9.60021i −0.241214 + 0.417795i
\(529\) 18.2848 13.9523i 0.794990 0.606622i
\(530\) 1.96660 1.13542i 0.0854237 0.0493194i
\(531\) 2.57188 + 1.17454i 0.111610 + 0.0509706i
\(532\) 28.3466 2.83584i 1.22898 0.122949i
\(533\) 32.3659 + 37.3523i 1.40192 + 1.61791i
\(534\) −0.166885 + 0.323712i −0.00722182 + 0.0140084i
\(535\) 28.7502 9.95055i 1.24298 0.430200i
\(536\) 2.72737 3.46813i 0.117804 0.149801i
\(537\) −6.17336 + 6.47444i −0.266400 + 0.279393i
\(538\) −2.81495 + 4.38014i −0.121361 + 0.188841i
\(539\) 7.75195 + 18.8684i 0.333900 + 0.812717i
\(540\) 6.62988 3.02777i 0.285305 0.130294i
\(541\) −11.2080 + 15.7394i −0.481867 + 0.676688i −0.981918 0.189308i \(-0.939375\pi\)
0.500050 + 0.865996i \(0.333315\pi\)
\(542\) 0.661376 1.65204i 0.0284085 0.0709611i
\(543\) 4.84028 + 9.38883i 0.207716 + 0.402913i
\(544\) 8.09806 + 7.72148i 0.347201 + 0.331056i
\(545\) −57.3371 8.24383i −2.45605 0.353127i
\(546\) 0.954910 2.79982i 0.0408664 0.119821i
\(547\) −9.71000 + 6.24024i −0.415169 + 0.266813i −0.731508 0.681833i \(-0.761183\pi\)
0.316338 + 0.948647i \(0.397547\pi\)
\(548\) 9.57861 + 3.31519i 0.409178 + 0.141618i
\(549\) −6.10050 + 5.81682i −0.260363 + 0.248256i
\(550\) 3.75437 2.67348i 0.160087 0.113997i
\(551\) 3.94090 + 6.82583i 0.167888 + 0.290790i
\(552\) −3.38063 0.677184i −0.143889 0.0288228i
\(553\) −14.6638 + 18.8206i −0.623567 + 0.800333i
\(554\) −0.824485 + 1.80537i −0.0350290 + 0.0767028i
\(555\) −6.33368 26.1078i −0.268850 1.10821i
\(556\) −3.80753 19.7553i −0.161475 0.837813i
\(557\) 24.8810 1.18523i 1.05424 0.0502198i 0.486705 0.873567i \(-0.338199\pi\)
0.567539 + 0.823347i \(0.307896\pi\)
\(558\) −0.250513 + 1.29979i −0.0106051 + 0.0550243i
\(559\) 6.48580 45.1097i 0.274320 1.90794i
\(560\) −5.47337 36.8863i −0.231292 1.55873i
\(561\) −12.8952 8.28726i −0.544437 0.349888i
\(562\) −3.29154 4.18554i −0.138845 0.176556i
\(563\) −3.14152 0.299979i −0.132399 0.0126426i 0.0286460 0.999590i \(-0.490880\pi\)
−0.161045 + 0.986947i \(0.551487\pi\)
\(564\) 13.4011 + 1.27965i 0.564288 + 0.0538830i
\(565\) −35.4584 45.0890i −1.49175 1.89691i
\(566\) 0.495852 + 0.318665i 0.0208422 + 0.0133945i
\(567\) −0.388337 2.61710i −0.0163086 0.109908i
\(568\) 0.772559 5.37327i 0.0324159 0.225457i
\(569\) 5.04891 26.1963i 0.211661 1.09820i −0.708215 0.705996i \(-0.750499\pi\)
0.919877 0.392207i \(-0.128288\pi\)
\(570\) −3.67096 + 0.174869i −0.153760 + 0.00732447i
\(571\) 5.57451 + 28.9233i 0.233286 + 1.21040i 0.889893 + 0.456169i \(0.150779\pi\)
−0.656607 + 0.754233i \(0.728009\pi\)
\(572\) 8.33858 + 34.3721i 0.348654 + 1.43717i
\(573\) −3.21131 + 7.03178i −0.134154 + 0.293757i
\(574\) −2.36050 + 3.02964i −0.0985252 + 0.126455i
\(575\) −33.9176 24.5276i −1.41446 1.02287i
\(576\) −3.61130 6.25496i −0.150471 0.260623i
\(577\) 37.9732 27.0406i 1.58084 1.12571i 0.650213 0.759752i \(-0.274680\pi\)
0.930630 0.365962i \(-0.119260\pi\)
\(578\) −1.39927 + 1.33420i −0.0582020 + 0.0554955i
\(579\) −7.68658 2.66035i −0.319443 0.110560i
\(580\) 8.82912 5.67413i 0.366609 0.235606i
\(581\) −5.49026 + 16.0976i −0.227774 + 0.667841i
\(582\) 0.988511 + 0.142126i 0.0409751 + 0.00589133i
\(583\) 7.13300 + 6.80130i 0.295419 + 0.281681i
\(584\) −1.64212 3.18528i −0.0679516 0.131808i
\(585\) 8.49628 21.2227i 0.351278 0.877449i
\(586\) 0.473409 0.664810i 0.0195564 0.0274631i
\(587\) −10.2744 + 4.69214i −0.424068 + 0.193665i −0.616006 0.787742i \(-0.711250\pi\)
0.191938 + 0.981407i \(0.438523\pi\)
\(588\) −13.6471 1.83667i −0.562796 0.0757428i
\(589\) −21.6161 + 33.6353i −0.890677 + 1.38592i
\(590\) −1.31003 + 1.37392i −0.0539330 + 0.0565634i
\(591\) 11.4883 14.6085i 0.472564 0.600914i
\(592\) −26.0654 + 9.02134i −1.07128 + 0.370775i
\(593\) −13.4067 + 26.0054i −0.550549 + 1.06792i 0.435301 + 0.900285i \(0.356642\pi\)
−0.985850 + 0.167631i \(0.946388\pi\)
\(594\) −0.345820 0.399098i −0.0141892 0.0163752i
\(595\) 51.3079 5.13293i 2.10342 0.210430i
\(596\) −28.4570 12.9959i −1.16564 0.532332i
\(597\) −15.8082 + 9.12688i −0.646987 + 0.373538i
\(598\) −4.53198 + 2.86602i −0.185326 + 0.117200i
\(599\) 9.59283 16.6153i 0.391952 0.678882i −0.600755 0.799434i \(-0.705133\pi\)
0.992707 + 0.120552i \(0.0384664\pi\)
\(600\) 0.596432 + 6.24612i 0.0243492 + 0.254997i
\(601\) −5.20778 + 17.7361i −0.212430 + 0.723469i 0.782478 + 0.622678i \(0.213955\pi\)
−0.994908 + 0.100791i \(0.967863\pi\)
\(602\) 3.53663 0.184461i 0.144142 0.00751809i
\(603\) −3.31800 5.16290i −0.135119 0.210250i
\(604\) 32.0349 + 6.17422i 1.30348 + 0.251225i
\(605\) −7.30435 5.74421i −0.296964 0.233535i
\(606\) −0.124090 + 0.511505i −0.00504080 + 0.0207785i
\(607\) 21.5274 + 1.02548i 0.873772 + 0.0416229i 0.479675 0.877446i \(-0.340755\pi\)
0.394097 + 0.919069i \(0.371058\pi\)
\(608\) 1.65703 + 11.5249i 0.0672013 + 0.467395i
\(609\) −1.08981 3.65058i −0.0441615 0.147929i
\(610\) −2.35107 5.14813i −0.0951922 0.208442i
\(611\) 33.1897 26.1007i 1.34271 1.05592i
\(612\) 9.19726 4.74152i 0.371777 0.191664i
\(613\) 23.3638 + 5.66800i 0.943656 + 0.228929i 0.677935 0.735121i \(-0.262875\pi\)
0.265721 + 0.964050i \(0.414390\pi\)
\(614\) 0.0867103 + 0.216592i 0.00349934 + 0.00874094i
\(615\) −19.4361 + 22.4304i −0.783738 + 0.904482i
\(616\) −5.03149 + 2.32529i −0.202724 + 0.0936885i
\(617\) −16.2646 + 14.0933i −0.654787 + 0.567376i −0.917617 0.397466i \(-0.869890\pi\)
0.262830 + 0.964842i \(0.415344\pi\)
\(618\) 0.795804 0.193060i 0.0320119 0.00776601i
\(619\) 21.2544 + 29.8476i 0.854286 + 1.19968i 0.978258 + 0.207391i \(0.0664974\pi\)
−0.123972 + 0.992286i \(0.539563\pi\)
\(620\) 46.1068 + 26.6198i 1.85169 + 1.06908i
\(621\) −2.42816 + 4.13570i −0.0974386 + 0.165960i
\(622\) 2.99586i 0.120123i
\(623\) 4.71515 2.45781i 0.188908 0.0984700i
\(624\) −22.5199 6.61244i −0.901518 0.264710i
\(625\) −2.46458 + 7.12092i −0.0985830 + 0.284837i
\(626\) −0.0941622 1.97671i −0.00376348 0.0790051i
\(627\) −5.21696 15.0734i −0.208345 0.601974i
\(628\) −3.34110 + 1.33757i −0.133324 + 0.0533750i
\(629\) −10.7454 36.5954i −0.428446 1.45915i
\(630\) 1.74582 + 0.328320i 0.0695551 + 0.0130806i
\(631\) −10.6669 + 1.53366i −0.424641 + 0.0610541i −0.351323 0.936254i \(-0.614268\pi\)
−0.0733182 + 0.997309i \(0.523359\pi\)
\(632\) −5.28089 3.76051i −0.210063 0.149585i
\(633\) −1.38884 + 14.5446i −0.0552015 + 0.578096i
\(634\) 1.48671 + 0.595189i 0.0590448 + 0.0236380i
\(635\) 0.475490 9.98176i 0.0188692 0.396114i
\(636\) −6.38366 + 1.87441i −0.253129 + 0.0743253i
\(637\) −34.9537 + 25.3687i −1.38491 + 1.00514i
\(638\) −0.574685 0.497968i −0.0227520 0.0197147i
\(639\) −6.71160 3.46007i −0.265507 0.136878i
\(640\) 20.2398 3.90090i 0.800048 0.154197i
\(641\) 4.61005 + 4.83488i 0.182086 + 0.190966i 0.808451 0.588564i \(-0.200306\pi\)
−0.626365 + 0.779530i \(0.715458\pi\)
\(642\) 1.48127 0.141444i 0.0584612 0.00558236i
\(643\) 14.0911 0.555700 0.277850 0.960624i \(-0.410378\pi\)
0.277850 + 0.960624i \(0.410378\pi\)
\(644\) 17.1743 + 18.1127i 0.676762 + 0.713739i
\(645\) 27.3674 1.07759
\(646\) −5.19395 + 0.495962i −0.204353 + 0.0195134i
\(647\) 29.6784 + 31.1258i 1.16678 + 1.22368i 0.969966 + 0.243240i \(0.0782101\pi\)
0.196811 + 0.980441i \(0.436941\pi\)
\(648\) 0.705922 0.136055i 0.0277312 0.00534476i
\(649\) −7.32337 3.77546i −0.287467 0.148200i
\(650\) 7.37495 + 6.39043i 0.289269 + 0.250653i
\(651\) 13.9266 13.3995i 0.545828 0.525166i
\(652\) 15.0015 4.40485i 0.587506 0.172507i
\(653\) −0.565724 + 11.8760i −0.0221385 + 0.464744i 0.960393 + 0.278648i \(0.0898864\pi\)
−0.982532 + 0.186096i \(0.940417\pi\)
\(654\) −2.63024 1.05299i −0.102851 0.0411752i
\(655\) −7.31663 + 76.6233i −0.285885 + 2.99392i
\(656\) 24.8220 + 17.6757i 0.969135 + 0.690118i
\(657\) −4.93407 + 0.709413i −0.192497 + 0.0276768i
\(658\) 2.48935 + 2.13745i 0.0970448 + 0.0833265i
\(659\) −13.6714 46.5604i −0.532560 1.81373i −0.579679 0.814845i \(-0.696822\pi\)
0.0471191 0.998889i \(-0.484996\pi\)
\(660\) −19.7181 + 7.89393i −0.767526 + 0.307271i
\(661\) −2.79140 8.06521i −0.108573 0.313700i 0.877607 0.479382i \(-0.159139\pi\)
−0.986179 + 0.165681i \(0.947018\pi\)
\(662\) −0.0832218 1.74704i −0.00323451 0.0679006i
\(663\) 10.6149 30.6697i 0.412247 1.19111i
\(664\) −4.43430 1.30203i −0.172084 0.0505285i
\(665\) 45.2693 + 28.8051i 1.75547 + 1.11701i
\(666\) 1.31397i 0.0509152i
\(667\) −2.61334 + 6.39223i −0.101189 + 0.247508i
\(668\) −12.0541 6.95944i −0.466387 0.269269i
\(669\) −4.24764 5.96497i −0.164223 0.230619i
\(670\) 4.00448 0.971478i 0.154707 0.0375315i
\(671\) 18.5639 16.0857i 0.716651 0.620982i
\(672\) 0.509701 5.60487i 0.0196621 0.216212i
\(673\) 14.9159 17.2138i 0.574965 0.663545i −0.391550 0.920157i \(-0.628061\pi\)
0.966514 + 0.256612i \(0.0826064\pi\)
\(674\) −0.339015 0.846819i −0.0130584 0.0326182i
\(675\) 8.48177 + 2.05765i 0.326463 + 0.0791992i
\(676\) −43.8308 + 22.5964i −1.68580 + 0.869090i
\(677\) −21.7633 + 17.1149i −0.836433 + 0.657778i −0.941621 0.336674i \(-0.890698\pi\)
0.105188 + 0.994452i \(0.466455\pi\)
\(678\) −1.16546 2.55200i −0.0447592 0.0980091i
\(679\) −10.5978 10.0141i −0.406706 0.384306i
\(680\) 1.99400 + 13.8686i 0.0764663 + 0.531835i
\(681\) 17.1845 + 0.818597i 0.658510 + 0.0313687i
\(682\) 0.909420 3.74868i 0.0348235 0.143544i
\(683\) −0.227842 0.179177i −0.00871813 0.00685602i 0.613790 0.789469i \(-0.289644\pi\)
−0.622509 + 0.782613i \(0.713886\pi\)
\(684\) 10.5729 + 2.03776i 0.404265 + 0.0779157i
\(685\) 10.3214 + 16.0604i 0.394361 + 0.613638i
\(686\) −2.46009 2.28295i −0.0939267 0.0871633i
\(687\) 0.870596 2.96498i 0.0332153 0.113121i
\(688\) −2.67091 27.9710i −0.101827 1.06638i
\(689\) −10.4337 + 18.0717i −0.397492 + 0.688476i
\(690\) −2.09087 2.44887i −0.0795979 0.0932267i
\(691\) 16.9863 9.80705i 0.646189 0.373078i −0.140805 0.990037i \(-0.544969\pi\)
0.786995 + 0.616960i \(0.211636\pi\)
\(692\) −29.5357 13.4885i −1.12278 0.512756i
\(693\) 0.767490 + 7.67169i 0.0291545 + 0.291424i
\(694\) −2.22154 2.56379i −0.0843285 0.0973203i
\(695\) 17.3638 33.6811i 0.658647 1.27760i
\(696\) 0.978272 0.338583i 0.0370813 0.0128340i
\(697\) −26.0469 + 33.1214i −0.986599 + 1.25456i
\(698\) 4.48258 4.70119i 0.169668 0.177943i
\(699\) −0.817268 + 1.27169i −0.0309119 + 0.0480999i
\(700\) 22.5347 39.4411i 0.851733 1.49073i
\(701\) −21.6795 + 9.90069i −0.818823 + 0.373944i −0.780371 0.625316i \(-0.784970\pi\)
−0.0384518 + 0.999260i \(0.512243\pi\)
\(702\) 0.648556 0.910769i 0.0244782 0.0343748i
\(703\) 14.7506 36.8453i 0.556331 1.38965i
\(704\) 9.64448 + 18.7077i 0.363490 + 0.705072i
\(705\) 18.3506 + 17.4973i 0.691125 + 0.658986i
\(706\) 2.08461 + 0.299722i 0.0784554 + 0.0112802i
\(707\) 5.78486 5.05847i 0.217562 0.190243i
\(708\) 4.67898 3.00700i 0.175847 0.113010i
\(709\) 31.4003 + 10.8678i 1.17926 + 0.408147i 0.845224 0.534412i \(-0.179467\pi\)
0.334039 + 0.942559i \(0.391588\pi\)
\(710\) 3.66928 3.49865i 0.137706 0.131302i
\(711\) −7.34565 + 5.23082i −0.275484 + 0.196171i
\(712\) 0.722415 + 1.25126i 0.0270737 + 0.0468930i
\(713\) −34.8962 + 3.07541i −1.30687 + 0.115175i
\(714\) 2.49791 + 0.347654i 0.0934820 + 0.0130106i
\(715\) −27.6737 + 60.5969i −1.03494 + 2.26620i
\(716\) 4.14888 + 17.1019i 0.155051 + 0.639129i
\(717\) −0.115760 0.600619i −0.00432313 0.0224305i
\(718\) 3.64751 0.173752i 0.136124 0.00648437i
\(719\) 3.89889 20.2294i 0.145404 0.754429i −0.833881 0.551944i \(-0.813886\pi\)
0.979285 0.202485i \(-0.0649017\pi\)
\(720\) 2.00584 13.9509i 0.0747532 0.519920i
\(721\) −11.1192 4.39339i −0.414102 0.163618i
\(722\) −1.67091 1.07383i −0.0621850 0.0399639i
\(723\) 8.53294 + 10.8505i 0.317344 + 0.403535i
\(724\) 20.6852 + 1.97519i 0.768758 + 0.0734075i
\(725\) 12.5108 + 1.19463i 0.464638 + 0.0443676i
\(726\) −0.280949 0.357255i −0.0104270 0.0132590i
\(727\) 15.6656 + 10.0677i 0.581006 + 0.373390i 0.797886 0.602808i \(-0.205952\pi\)
−0.216880 + 0.976198i \(0.569588\pi\)
\(728\) −7.29600 9.19199i −0.270408 0.340678i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) 0.633410 3.28644i 0.0234436 0.121637i
\(731\) 38.8096 1.84873i 1.43542 0.0683777i
\(732\) 3.13809 + 16.2819i 0.115987 + 0.601798i
\(733\) 7.18961 + 29.6360i 0.265554 + 1.09463i 0.935812 + 0.352500i \(0.114669\pi\)
−0.670257 + 0.742129i \(0.733816\pi\)
\(734\) −1.45572 + 3.18759i −0.0537317 + 0.117656i
\(735\) −18.0663 18.6084i −0.666385 0.686380i
\(736\) −7.09360 + 7.33169i −0.261474 + 0.270250i
\(737\) 8.94215 + 15.4883i 0.329388 + 0.570517i
\(738\) −1.18246 + 0.842029i −0.0435271 + 0.0309955i
\(739\) 0.609451 0.581111i 0.0224190 0.0213765i −0.678787 0.734335i \(-0.737494\pi\)
0.701206 + 0.712959i \(0.252645\pi\)
\(740\) −49.9413 17.2849i −1.83588 0.635404i
\(741\) 28.4106 18.2584i 1.04369 0.670739i
\(742\) −1.53476 0.523445i −0.0563427 0.0192163i
\(743\) 39.2165 + 5.63848i 1.43871 + 0.206856i 0.817113 0.576478i \(-0.195573\pi\)
0.621602 + 0.783334i \(0.286482\pi\)
\(744\) 3.80058 + 3.62385i 0.139336 + 0.132857i
\(745\) −27.0000 52.3728i −0.989205 1.91879i
\(746\) −0.0443346 + 0.110742i −0.00162320 + 0.00405457i
\(747\) −3.72887 + 5.23647i −0.136432 + 0.191592i
\(748\) −27.4288 + 12.5263i −1.00290 + 0.458008i
\(749\) −18.8631 10.7775i −0.689243 0.393801i
\(750\) −1.35319 + 2.10560i −0.0494114 + 0.0768856i
\(751\) 13.0789 13.7167i 0.477255 0.500530i −0.440459 0.897773i \(-0.645184\pi\)
0.917714 + 0.397242i \(0.130033\pi\)
\(752\) 16.0923 20.4630i 0.586825 0.746208i
\(753\) 6.04101 2.09081i 0.220146 0.0761934i
\(754\) 0.737747 1.43103i 0.0268672 0.0521150i
\(755\) 40.2395 + 46.4389i 1.46447 + 1.69008i
\(756\) −4.74399 2.14070i −0.172537 0.0778566i
\(757\) −35.6453 16.2786i −1.29555 0.591657i −0.356132 0.934435i \(-0.615905\pi\)
−0.939416 + 0.342778i \(0.888632\pi\)
\(758\) −1.87403 + 1.08197i −0.0680679 + 0.0392990i
\(759\) 7.64133 11.7015i 0.277363 0.424739i
\(760\) −7.28990 + 12.6265i −0.264433 + 0.458011i
\(761\) −0.978529 10.2476i −0.0354716 0.371476i −0.995727 0.0923511i \(-0.970562\pi\)
0.960255 0.279125i \(-0.0900443\pi\)
\(762\) 0.137700 0.468962i 0.00498834 0.0169887i
\(763\) 22.5200 + 34.6968i 0.815280 + 1.25611i
\(764\) 8.22145 + 12.7928i 0.297442 + 0.462828i
\(765\) 19.1372 + 3.68838i 0.691905 + 0.133354i
\(766\) 1.58281 + 1.24473i 0.0571892 + 0.0449741i
\(767\) 4.11275 16.9530i 0.148503 0.612137i
\(768\) −13.4218 0.639361i −0.484319 0.0230710i
\(769\) −6.00524 41.7674i −0.216555 1.50617i −0.750624 0.660730i \(-0.770247\pi\)
0.534069 0.845441i \(-0.320662\pi\)
\(770\) −5.03621 1.19775i −0.181492 0.0431638i
\(771\) −5.62164 12.3097i −0.202459 0.443322i
\(772\) −12.5775 + 9.89102i −0.452672 + 0.355986i
\(773\) −29.6824 + 15.3024i −1.06760 + 0.550387i −0.900189 0.435499i \(-0.856572\pi\)
−0.167414 + 0.985887i \(0.553542\pi\)
\(774\) 1.30081 + 0.315572i 0.0467566 + 0.0113430i
\(775\) 23.6945 + 59.1860i 0.851131 + 2.12602i
\(776\) 2.59450 2.99421i 0.0931371 0.107486i
\(777\) −11.0572 + 15.6768i −0.396673 + 0.562401i
\(778\) −1.17846 + 1.02114i −0.0422498 + 0.0366097i
\(779\) −42.6104 + 10.3372i −1.52668 + 0.370368i
\(780\) −26.0850 36.6312i −0.933992 1.31161i
\(781\) 19.0564 + 11.0022i 0.681890 + 0.393690i
\(782\) −3.13047 3.33148i −0.111945 0.119133i
\(783\) 1.43996i 0.0514600i
\(784\) −17.2556 + 20.2808i −0.616271 + 0.724314i
\(785\) −6.50386 1.90971i −0.232133 0.0681603i
\(786\) −1.23131 + 3.55763i −0.0439193 + 0.126896i
\(787\) 0.0544255 + 1.14253i 0.00194006 + 0.0407269i 0.999630 0.0272086i \(-0.00866183\pi\)
−0.997690 + 0.0679355i \(0.978359\pi\)
\(788\) −11.9573 34.5483i −0.425960 1.23073i
\(789\) 4.36760 1.74852i 0.155491 0.0622490i
\(790\) −1.70582 5.80949i −0.0606904 0.206692i
\(791\) −7.57038 + 40.2550i −0.269172 + 1.43130i
\(792\) −2.07366 + 0.298148i −0.0736844 + 0.0105942i
\(793\) 42.3641 + 30.1673i 1.50439 + 1.07127i
\(794\) 0.587815 6.15587i 0.0208608 0.218464i
\(795\) −11.6335 4.65733i −0.412596 0.165179i
\(796\) −1.70857 + 35.8674i −0.0605588 + 1.27129i
\(797\) 40.0772 11.7677i 1.41961 0.416834i 0.520237 0.854022i \(-0.325844\pi\)
0.899370 + 0.437188i \(0.144026\pi\)
\(798\) 1.81955 + 1.89114i 0.0644114 + 0.0669456i
\(799\) 27.2049 + 23.5732i 0.962440 + 0.833959i
\(800\) 16.5018 + 8.50725i 0.583425 + 0.300777i
\(801\) 1.97342 0.380346i 0.0697275 0.0134389i
\(802\) −1.16353 1.22027i −0.0410856 0.0430893i
\(803\) 14.4605 1.38081i 0.510299 0.0487276i
\(804\) −12.0728 −0.425774
\(805\) 4.33840 + 46.8119i 0.152909 + 1.64990i
\(806\) 8.16716 0.287676
\(807\) 28.6018 2.73114i 1.00683 0.0961407i
\(808\) 1.44094 + 1.51122i 0.0506922 + 0.0531644i
\(809\) −1.45086 + 0.279630i −0.0510095 + 0.00983127i −0.214692 0.976682i \(-0.568875\pi\)
0.163683 + 0.986513i \(0.447663\pi\)
\(810\) 0.596786 + 0.307665i 0.0209689 + 0.0108102i
\(811\) −29.6061 25.6539i −1.03961 0.900829i −0.0444438 0.999012i \(-0.514152\pi\)
−0.995168 + 0.0981828i \(0.968697\pi\)
\(812\) −7.20032 2.07897i −0.252682 0.0729577i
\(813\) −9.42203 + 2.76656i −0.330445 + 0.0970274i
\(814\) −0.182193 + 3.82470i −0.00638585 + 0.134056i
\(815\) 27.3385 + 10.9447i 0.957626 + 0.383376i
\(816\) 1.90205 19.9192i 0.0665851 0.697311i
\(817\) 32.9337 + 23.4519i 1.15220 + 0.820480i
\(818\) −5.37137 + 0.772287i −0.187806 + 0.0270024i
\(819\) −15.4020 + 5.40860i −0.538190 + 0.188992i
\(820\) 16.4489 + 56.0198i 0.574420 + 1.95630i
\(821\) 15.9010 6.36580i 0.554949 0.222168i −0.0771991 0.997016i \(-0.524598\pi\)
0.632148 + 0.774848i \(0.282173\pi\)
\(822\) 0.305398 + 0.882388i 0.0106520 + 0.0307768i
\(823\) −1.20233 25.2400i −0.0419106 0.879812i −0.917738 0.397187i \(-0.869986\pi\)
0.875827 0.482625i \(-0.160317\pi\)
\(824\) 1.06253 3.06998i 0.0370150 0.106948i
\(825\) −24.4034 7.16549i −0.849618 0.249470i
\(826\) 1.35434 + 0.0583941i 0.0471235 + 0.00203179i
\(827\) 19.1206i 0.664887i −0.943123 0.332443i \(-0.892127\pi\)
0.943123 0.332443i \(-0.107873\pi\)
\(828\) 4.26169 + 8.41675i 0.148104 + 0.292502i
\(829\) 16.1589 + 9.32932i 0.561220 + 0.324021i 0.753635 0.657293i \(-0.228299\pi\)
−0.192415 + 0.981314i \(0.561632\pi\)
\(830\) −2.50366 3.51589i −0.0869032 0.122038i
\(831\) 10.6435 2.58209i 0.369220 0.0895717i
\(832\) −33.6784 + 29.1825i −1.16759 + 1.01172i
\(833\) −26.8767 25.1680i −0.931223 0.872018i
\(834\) 1.21370 1.40068i 0.0420269 0.0485017i
\(835\) −9.74347 24.3380i −0.337187 0.842251i
\(836\) −30.4931 7.39754i −1.05462 0.255849i
\(837\) 6.49256 3.34715i 0.224416 0.115694i
\(838\) −5.50216 + 4.32695i −0.190069 + 0.149472i
\(839\) −20.7706 45.4812i −0.717080 1.57019i −0.817952 0.575286i \(-0.804891\pi\)
0.100872 0.994899i \(-0.467837\pi\)
\(840\) 4.84018 5.12229i 0.167002 0.176736i
\(841\) 3.83204 + 26.6524i 0.132139 + 0.919050i
\(842\) 5.95202 + 0.283530i 0.205120 + 0.00977108i
\(843\) −6.92740 + 28.5552i −0.238592 + 0.983492i
\(844\) 22.5925 + 17.7669i 0.777666 + 0.611563i
\(845\) −91.2008 17.5775i −3.13740 0.604685i
\(846\) 0.670467 + 1.04327i 0.0230511 + 0.0358683i
\(847\) 0.345624 + 6.62657i 0.0118758 + 0.227692i
\(848\) −3.62469 + 12.3446i −0.124472 + 0.423914i
\(849\) −0.309177 3.23785i −0.0106109 0.111123i
\(850\) −4.15976 + 7.20492i −0.142679 + 0.247127i
\(851\) 33.4358 9.55318i 1.14616 0.327479i
\(852\) −12.8640 + 7.42702i −0.440712 + 0.254445i
\(853\) 36.9361 + 16.8682i 1.26467 + 0.577555i 0.930960 0.365121i \(-0.118972\pi\)
0.333709 + 0.942676i \(0.391700\pi\)
\(854\) −1.66226 + 3.68373i −0.0568815 + 0.126055i
\(855\) 13.2808 + 15.3268i 0.454193 + 0.524167i
\(856\) 2.70499 5.24695i 0.0924547 0.179337i
\(857\) −18.8067 + 6.50908i −0.642426 + 0.222346i −0.628807 0.777561i \(-0.716456\pi\)
−0.0136190 + 0.999907i \(0.504335\pi\)
\(858\) −2.01410 + 2.56114i −0.0687603 + 0.0874359i
\(859\) 16.3122 17.1078i 0.556566 0.583710i −0.383995 0.923335i \(-0.625452\pi\)
0.940561 + 0.339626i \(0.110300\pi\)
\(860\) 29.1060 45.2898i 0.992507 1.54437i
\(861\) 21.1936 0.0955893i 0.722275 0.00325767i
\(862\) −1.04166 + 0.475709i −0.0354790 + 0.0162027i
\(863\) 12.3816 17.3875i 0.421474 0.591878i −0.548179 0.836361i \(-0.684679\pi\)
0.969654 + 0.244483i \(0.0786183\pi\)
\(864\) 0.790594 1.97481i 0.0268965 0.0671843i
\(865\) −28.0235 54.3580i −0.952827 1.84823i
\(866\) 0.426442 + 0.406612i 0.0144911 + 0.0138172i
\(867\) 10.5605 + 1.51837i 0.358652 + 0.0515664i
\(868\) −7.36315 37.2976i −0.249922 1.26596i
\(869\) 22.1070 14.2073i 0.749930 0.481951i
\(870\) 0.913650 + 0.316217i 0.0309757 + 0.0107208i
\(871\) −27.4047 + 26.1304i −0.928574 + 0.885394i
\(872\) −9.15560 + 6.51967i −0.310048 + 0.220784i
\(873\) −2.75548 4.77264i −0.0932590 0.161529i
\(874\) −0.417619 4.73866i −0.0141262 0.160288i
\(875\) 33.8635 13.7344i 1.14479 0.464308i
\(876\) −4.07353 + 8.91978i −0.137632 + 0.301372i
\(877\) −2.08231 8.58338i −0.0703145 0.289840i 0.925788 0.378043i \(-0.123403\pi\)
−0.996103 + 0.0882027i \(0.971888\pi\)
\(878\) −0.0382199 0.198304i −0.00128986 0.00669243i
\(879\) −4.49859 + 0.214294i −0.151734 + 0.00722797i
\(880\) −7.77301 + 40.3302i −0.262028 + 1.35953i
\(881\) 2.55262 17.7539i 0.0860001 0.598144i −0.900558 0.434735i \(-0.856842\pi\)
0.986558 0.163409i \(-0.0522489\pi\)
\(882\) −0.644140 1.09280i −0.0216893 0.0367965i
\(883\) −9.43462 6.06326i −0.317500 0.204045i 0.372177 0.928162i \(-0.378611\pi\)
−0.689677 + 0.724117i \(0.742248\pi\)
\(884\) −39.4654 50.1844i −1.32737 1.68788i
\(885\) 10.4283 + 0.995783i 0.350544 + 0.0334729i
\(886\) −3.45623 0.330030i −0.116114 0.0110876i
\(887\) 8.45589 + 10.7525i 0.283921 + 0.361035i 0.907005 0.421120i \(-0.138363\pi\)
−0.623084 + 0.782155i \(0.714120\pi\)
\(888\) −4.38522 2.81821i −0.147158 0.0945729i
\(889\) −5.58924 + 4.43637i −0.187457 + 0.148791i
\(890\) −0.192038 + 1.33566i −0.00643714 + 0.0447713i
\(891\) −0.551497 + 2.86144i −0.0184759 + 0.0958618i
\(892\) −14.3888 + 0.685423i −0.481772 + 0.0229496i
\(893\) 7.08900 + 36.7812i 0.237224 + 1.23084i
\(894\) −0.679437 2.80068i −0.0227238 0.0936686i
\(895\) −13.7691 + 30.1501i −0.460250 + 1.00781i
\(896\) −11.6107 9.04634i −0.387888 0.302217i
\(897\) 27.8911 + 9.88168i 0.931257 + 0.329940i
\(898\) 1.99940 + 3.46307i 0.0667210 + 0.115564i
\(899\) 8.56794 6.10120i 0.285757 0.203487i
\(900\) 12.4258 11.8479i 0.414192 0.394931i
\(901\) −16.8119 5.81867i −0.560087 0.193848i
\(902\) 3.55867 2.28702i 0.118491 0.0761495i
\(903\) −12.8642 14.7115i −0.428093 0.489567i
\(904\) −11.0167 1.58396i −0.366410 0.0526819i
\(905\) 28.3250 + 27.0078i 0.941553 + 0.897769i
\(906\) 1.37715 + 2.67129i 0.0457527 + 0.0887478i
\(907\) −6.04822 + 15.1077i −0.200828 + 0.501644i −0.994257 0.107019i \(-0.965869\pi\)
0.793429 + 0.608663i \(0.208294\pi\)
\(908\) 19.6308 27.5677i 0.651472 0.914865i
\(909\) 2.64202 1.20657i 0.0876304 0.0400195i
\(910\) −0.0494341 10.9603i −0.00163872 0.363330i
\(911\) 19.7857 30.7871i 0.655529 1.02002i −0.341262 0.939968i \(-0.610854\pi\)
0.996791 0.0800541i \(-0.0255093\pi\)
\(912\) 14.3687 15.0695i 0.475797 0.499001i
\(913\) 11.5801 14.7253i 0.383245 0.487335i
\(914\) −3.06075 + 1.05934i −0.101241 + 0.0350397i
\(915\) −14.3109 + 27.7593i −0.473104 + 0.917693i
\(916\) −3.98078 4.59407i −0.131529 0.151792i
\(917\) 44.6283 32.0840i 1.47376 1.05951i
\(918\) 0.867082 + 0.395983i 0.0286180 + 0.0130694i
\(919\) 7.73159 4.46383i 0.255041 0.147248i −0.367029 0.930209i \(-0.619625\pi\)
0.622071 + 0.782961i \(0.286292\pi\)
\(920\) −12.6573 + 1.72568i −0.417300 + 0.0568940i
\(921\) 0.643717 1.11495i 0.0212112 0.0367389i
\(922\) −0.245141 2.56723i −0.00807328 0.0845473i
\(923\) −13.1257 + 44.7019i −0.432036 + 1.47138i
\(924\) 13.5120 + 6.88895i 0.444512 + 0.226630i
\(925\) −34.2137 53.2376i −1.12494 1.75044i
\(926\) −4.20952 0.811319i −0.138333 0.0266616i
\(927\) −3.55205 2.79336i −0.116665 0.0917460i
\(928\) 0.722143 2.97671i 0.0237055 0.0977154i
\(929\) 6.21582 + 0.296096i 0.203934 + 0.00971459i 0.149301 0.988792i \(-0.452298\pi\)
0.0546338 + 0.998506i \(0.482601\pi\)
\(930\) 0.697979 + 4.85455i 0.0228876 + 0.159187i
\(931\) −5.79472 37.8746i −0.189914 1.24129i
\(932\) 1.23532 + 2.70496i 0.0404641 + 0.0886040i
\(933\) 12.9950 10.2194i 0.425438 0.334568i
\(934\) 1.40422 0.723925i 0.0459474 0.0236875i
\(935\) −55.1930 13.3897i −1.80501 0.437890i
\(936\) −1.64856 4.11791i −0.0538849 0.134598i
\(937\) −5.64600 + 6.51583i −0.184447 + 0.212863i −0.840441 0.541903i \(-0.817704\pi\)
0.655994 + 0.754766i \(0.272250\pi\)
\(938\) −2.40455 1.69598i −0.0785112 0.0553756i
\(939\) −8.25307 + 7.15133i −0.269329 + 0.233375i
\(940\) 48.4723 11.7593i 1.58099 0.383545i
\(941\) −21.1219 29.6616i −0.688555 0.966940i −0.999862 0.0166304i \(-0.994706\pi\)
0.311307 0.950309i \(-0.399233\pi\)
\(942\) −0.287116 0.165766i −0.00935473 0.00540096i
\(943\) −30.0237 23.9675i −0.977707 0.780490i
\(944\) 10.7555i 0.350061i
\(945\) −4.53115 8.69271i −0.147398 0.282774i
\(946\) −3.74263 1.09894i −0.121684 0.0357295i
\(947\) −12.2361 + 35.3539i −0.397620 + 1.14885i 0.551565 + 0.834132i \(0.314031\pi\)
−0.949186 + 0.314717i \(0.898090\pi\)
\(948\) 0.844074 + 17.7193i 0.0274143 + 0.575496i
\(949\) 10.0593 + 29.0643i 0.326538 + 0.943469i
\(950\) −8.03704 + 3.21754i −0.260756 + 0.104391i
\(951\) −2.48970 8.47913i −0.0807339 0.274954i
\(952\) 6.51780 7.59085i 0.211243 0.246021i
\(953\) −7.94144 + 1.14181i −0.257248 + 0.0369867i −0.269732 0.962935i \(-0.586935\pi\)
0.0124840 + 0.999922i \(0.496026\pi\)
\(954\) −0.499249 0.355513i −0.0161638 0.0115102i
\(955\) −2.72257 + 28.5121i −0.0881005 + 0.922630i
\(956\) −1.11707 0.447206i −0.0361285 0.0144637i
\(957\) −0.199663 + 4.19144i −0.00645418 + 0.135490i
\(958\) −5.20354 + 1.52790i −0.168119 + 0.0493641i
\(959\) 3.78172 13.0976i 0.122118 0.422943i
\(960\) −20.2242 17.5244i −0.652734 0.565598i
\(961\) 19.8714 + 10.2444i 0.641014 + 0.330466i
\(962\) −7.96057 + 1.53427i −0.256659 + 0.0494670i
\(963\) −5.66641 5.94275i −0.182597 0.191503i
\(964\) 27.0313 2.58118i 0.870621 0.0831342i
\(965\) −30.1371 −0.970147
\(966\) −0.333576 + 2.27505i −0.0107326 + 0.0731986i
\(967\) −26.4386 −0.850207 −0.425104 0.905145i \(-0.639762\pi\)
−0.425104 + 0.905145i \(0.639762\pi\)
\(968\) −1.79488 + 0.171390i −0.0576896 + 0.00550869i
\(969\) 19.8687 + 20.8377i 0.638276 + 0.669405i
\(970\) 3.63333 0.700267i 0.116659 0.0224842i
\(971\) −8.11258 4.18232i −0.260345 0.134217i 0.323113 0.946360i \(-0.395271\pi\)
−0.583458 + 0.812143i \(0.698301\pi\)
\(972\) −1.48668 1.28822i −0.0476853 0.0413196i
\(973\) −26.2673 + 6.49797i −0.842092 + 0.208315i
\(974\) 2.16328 0.635197i 0.0693161 0.0203530i
\(975\) 2.56228 53.7888i 0.0820585 1.72262i
\(976\) 29.7682 + 11.9174i 0.952856 + 0.381466i
\(977\) −0.0820175 + 0.858926i −0.00262397 + 0.0274795i −0.996689 0.0813073i \(-0.974090\pi\)
0.994065 + 0.108787i \(0.0346966\pi\)
\(978\) 1.17323 + 0.835453i 0.0375157 + 0.0267148i
\(979\) −5.79698 + 0.833480i −0.185272 + 0.0266381i
\(980\) −50.0086 + 10.1071i −1.59747 + 0.322858i
\(981\) 4.40469 + 15.0010i 0.140631 + 0.478945i
\(982\) −4.13664 + 1.65606i −0.132006 + 0.0528471i
\(983\) 15.7419 + 45.4833i 0.502089 + 1.45069i 0.856767 + 0.515703i \(0.172469\pi\)
−0.354678 + 0.934988i \(0.615410\pi\)
\(984\) 0.274017 + 5.75233i 0.00873536 + 0.183378i
\(985\) 22.5213 65.0709i 0.717587 2.07333i
\(986\) 1.31700 + 0.386707i 0.0419419 + 0.0123153i
\(987\) 0.779936 18.0891i 0.0248256 0.575783i
\(988\) 66.4345i 2.11356i
\(989\) 1.42732 + 35.3952i 0.0453860 + 1.12550i
\(990\) −1.69447 0.978300i −0.0538536 0.0310924i
\(991\) −29.1474 40.9318i −0.925898 1.30024i −0.953741 0.300630i \(-0.902803\pi\)
0.0278427 0.999612i \(-0.491136\pi\)
\(992\) 15.1001 3.66326i 0.479430 0.116309i
\(993\) −7.29417 + 6.32043i −0.231473 + 0.200573i
\(994\) −3.60547 0.327878i −0.114359 0.0103997i
\(995\) −44.2896 + 51.1129i −1.40407 + 1.62039i
\(996\) 4.69997 + 11.7400i 0.148924 + 0.371995i
\(997\) 11.5371 + 2.79887i 0.365383 + 0.0886411i 0.414247 0.910164i \(-0.364045\pi\)
−0.0488638 + 0.998805i \(0.515560\pi\)
\(998\) 1.24530 0.641996i 0.0394192 0.0203220i
\(999\) −5.69953 + 4.48216i −0.180325 + 0.141809i
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 483.2.bf.a.178.19 yes 640
7.5 odd 6 inner 483.2.bf.a.40.14 yes 640
23.19 odd 22 inner 483.2.bf.a.157.14 yes 640
161.19 even 66 inner 483.2.bf.a.19.19 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.bf.a.19.19 640 161.19 even 66 inner
483.2.bf.a.40.14 yes 640 7.5 odd 6 inner
483.2.bf.a.157.14 yes 640 23.19 odd 22 inner
483.2.bf.a.178.19 yes 640 1.1 even 1 trivial