Properties

Label 322.2.i.e.127.1
Level $322$
Weight $2$
Character 322.127
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
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] = [322,2,Mod(29,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 127.1
Character \(\chi\) \(=\) 322.127
Dual form 322.2.i.e.71.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.841254 + 0.540641i) q^{2} +(-0.459025 + 3.19259i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.51548 + 0.444984i) q^{5} +(-1.33989 - 2.93395i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-7.10346 - 2.08576i) q^{9} +O(q^{10})\) \(q+(-0.841254 + 0.540641i) q^{2} +(-0.459025 + 3.19259i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-1.51548 + 0.444984i) q^{5} +(-1.33989 - 2.93395i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(0.142315 + 0.989821i) q^{8} +(-7.10346 - 2.08576i) q^{9} +(1.03432 - 1.19367i) q^{10} +(-3.31676 - 2.13155i) q^{11} +(2.71340 + 1.74379i) q^{12} +(1.69975 - 1.96161i) q^{13} +(0.959493 + 0.281733i) q^{14} +(-0.725010 - 5.04255i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(2.89606 + 6.34148i) q^{17} +(7.10346 - 2.08576i) q^{18} +(-0.897585 + 1.96544i) q^{19} +(-0.224780 + 1.56338i) q^{20} +(2.71340 - 1.74379i) q^{21} +3.94264 q^{22} +(-3.68001 - 3.07531i) q^{23} -3.22542 q^{24} +(-2.10761 + 1.35448i) q^{25} +(-0.369391 + 2.56917i) q^{26} +(5.90000 - 12.9192i) q^{27} +(-0.959493 + 0.281733i) q^{28} +(2.53672 + 5.55464i) q^{29} +(3.33613 + 3.85010i) q^{30} +(-1.46075 - 10.1598i) q^{31} +(0.959493 + 0.281733i) q^{32} +(8.32765 - 9.61062i) q^{33} +(-5.86478 - 3.76907i) q^{34} +(1.32872 + 0.853917i) q^{35} +(-4.84816 + 5.59508i) q^{36} +(1.02666 + 0.301455i) q^{37} +(-0.307499 - 2.13870i) q^{38} +(5.48241 + 6.32704i) q^{39} +(-0.656129 - 1.43672i) q^{40} +(-9.85631 + 2.89407i) q^{41} +(-1.33989 + 2.93395i) q^{42} +(-0.247191 + 1.71925i) q^{43} +(-3.31676 + 2.13155i) q^{44} +11.6933 q^{45} +(4.75846 + 0.597548i) q^{46} -6.77019 q^{47} +(2.71340 - 1.74379i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(1.04075 - 2.27892i) q^{50} +(-21.5751 + 6.33503i) q^{51} +(-1.07825 - 2.36103i) q^{52} +(-2.61584 - 3.01884i) q^{53} +(2.02125 + 14.0581i) q^{54} +(5.97497 + 1.75441i) q^{55} +(0.654861 - 0.755750i) q^{56} +(-5.86283 - 3.76781i) q^{57} +(-5.13709 - 3.30141i) q^{58} +(-0.713448 + 0.823363i) q^{59} +(-4.88805 - 1.43526i) q^{60} +(1.25414 + 8.72276i) q^{61} +(6.72164 + 7.75719i) q^{62} +(3.07546 + 6.73432i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-1.70304 + 3.72914i) q^{65} +(-1.80977 + 12.5872i) q^{66} +(-4.61008 + 2.96272i) q^{67} +6.97148 q^{68} +(11.5074 - 10.3371i) q^{69} -1.57945 q^{70} +(-3.57835 + 2.29967i) q^{71} +(1.05361 - 7.32799i) q^{72} +(1.57632 - 3.45166i) q^{73} +(-1.02666 + 0.301455i) q^{74} +(-3.35686 - 7.35049i) q^{75} +(1.41495 + 1.63294i) q^{76} +(0.561096 + 3.90251i) q^{77} +(-8.03275 - 2.35863i) q^{78} +(-5.51737 + 6.36739i) q^{79} +(1.32872 + 0.853917i) q^{80} +(19.8532 + 12.7589i) q^{81} +(6.72700 - 7.76338i) q^{82} +(6.31081 + 1.85302i) q^{83} +(-0.459025 - 3.19259i) q^{84} +(-7.21076 - 8.32166i) q^{85} +(-0.721547 - 1.57997i) q^{86} +(-18.8981 + 5.54899i) q^{87} +(1.63783 - 3.58635i) q^{88} +(-1.88932 + 13.1405i) q^{89} +(-9.83699 + 6.32185i) q^{90} -2.59559 q^{91} +(-4.32613 + 2.06993i) q^{92} +33.1065 q^{93} +(5.69545 - 3.66024i) q^{94} +(0.485681 - 3.37798i) q^{95} +(-1.33989 + 2.93395i) q^{96} +(0.931081 - 0.273390i) q^{97} +(-0.415415 - 0.909632i) q^{98} +(19.1146 + 22.0594i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q + 4 q^{2} + 2 q^{3} - 4 q^{4} - 9 q^{5} - 2 q^{6} - 4 q^{7} + 4 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 40 q + 4 q^{2} + 2 q^{3} - 4 q^{4} - 9 q^{5} - 2 q^{6} - 4 q^{7} + 4 q^{8} - 2 q^{10} + 2 q^{12} + 4 q^{13} + 4 q^{14} - 11 q^{15} - 4 q^{16} - 21 q^{17} + 4 q^{19} + 2 q^{20} + 2 q^{21} - 11 q^{23} - 2 q^{24} + 5 q^{25} - 15 q^{26} + 95 q^{27} - 4 q^{28} + 22 q^{30} - 12 q^{31} + 4 q^{32} - 8 q^{33} + 10 q^{34} - 9 q^{35} + 41 q^{37} + 7 q^{38} - 38 q^{39} - 13 q^{40} + 25 q^{41} - 2 q^{42} - 59 q^{43} - 6 q^{45} + 11 q^{46} - 60 q^{47} + 2 q^{48} - 4 q^{49} + 61 q^{50} - 87 q^{51} + 4 q^{52} + 47 q^{53} - 29 q^{54} - 30 q^{55} + 4 q^{56} + 20 q^{57} - 96 q^{59} - 11 q^{60} + 84 q^{61} - 65 q^{62} - 4 q^{64} + 52 q^{65} - 3 q^{66} + 11 q^{67} - 10 q^{68} - 42 q^{69} - 2 q^{70} - 13 q^{71} + 11 q^{72} - 48 q^{73} - 41 q^{74} + 23 q^{75} + 26 q^{76} - 83 q^{78} + 80 q^{79} - 9 q^{80} + 2 q^{81} + 30 q^{82} - 20 q^{83} + 2 q^{84} - 71 q^{85} - 40 q^{86} + 99 q^{87} - 30 q^{89} + 116 q^{90} + 26 q^{91} - 22 q^{92} + 20 q^{93} - 17 q^{94} - 4 q^{95} - 2 q^{96} - 56 q^{97} + 4 q^{98} + 138 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.841254 + 0.540641i −0.594856 + 0.382291i
\(3\) −0.459025 + 3.19259i −0.265018 + 1.84324i 0.228544 + 0.973534i \(0.426604\pi\)
−0.493562 + 0.869710i \(0.664306\pi\)
\(4\) 0.415415 0.909632i 0.207708 0.454816i
\(5\) −1.51548 + 0.444984i −0.677741 + 0.199003i −0.602447 0.798159i \(-0.705808\pi\)
−0.0752938 + 0.997161i \(0.523989\pi\)
\(6\) −1.33989 2.93395i −0.547007 1.19778i
\(7\) −0.654861 0.755750i −0.247514 0.285646i
\(8\) 0.142315 + 0.989821i 0.0503159 + 0.349955i
\(9\) −7.10346 2.08576i −2.36782 0.695255i
\(10\) 1.03432 1.19367i 0.327082 0.377472i
\(11\) −3.31676 2.13155i −1.00004 0.642687i −0.0652432 0.997869i \(-0.520782\pi\)
−0.934797 + 0.355183i \(0.884419\pi\)
\(12\) 2.71340 + 1.74379i 0.783291 + 0.503390i
\(13\) 1.69975 1.96161i 0.471426 0.544054i −0.469382 0.882995i \(-0.655523\pi\)
0.940808 + 0.338941i \(0.110069\pi\)
\(14\) 0.959493 + 0.281733i 0.256435 + 0.0752962i
\(15\) −0.725010 5.04255i −0.187197 1.30198i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 2.89606 + 6.34148i 0.702397 + 1.53804i 0.837040 + 0.547141i \(0.184284\pi\)
−0.134643 + 0.990894i \(0.542989\pi\)
\(18\) 7.10346 2.08576i 1.67430 0.491619i
\(19\) −0.897585 + 1.96544i −0.205920 + 0.450902i −0.984210 0.177002i \(-0.943360\pi\)
0.778290 + 0.627905i \(0.216087\pi\)
\(20\) −0.224780 + 1.56338i −0.0502623 + 0.349582i
\(21\) 2.71340 1.74379i 0.592112 0.380527i
\(22\) 3.94264 0.840573
\(23\) −3.68001 3.07531i −0.767336 0.641246i
\(24\) −3.22542 −0.658387
\(25\) −2.10761 + 1.35448i −0.421523 + 0.270896i
\(26\) −0.369391 + 2.56917i −0.0724435 + 0.503855i
\(27\) 5.90000 12.9192i 1.13546 2.48630i
\(28\) −0.959493 + 0.281733i −0.181327 + 0.0532424i
\(29\) 2.53672 + 5.55464i 0.471057 + 1.03147i 0.984826 + 0.173542i \(0.0555213\pi\)
−0.513770 + 0.857928i \(0.671751\pi\)
\(30\) 3.33613 + 3.85010i 0.609091 + 0.702928i
\(31\) −1.46075 10.1598i −0.262359 1.82475i −0.515005 0.857187i \(-0.672210\pi\)
0.252646 0.967559i \(-0.418699\pi\)
\(32\) 0.959493 + 0.281733i 0.169616 + 0.0498038i
\(33\) 8.32765 9.61062i 1.44966 1.67299i
\(34\) −5.86478 3.76907i −1.00580 0.646390i
\(35\) 1.32872 + 0.853917i 0.224595 + 0.144338i
\(36\) −4.84816 + 5.59508i −0.808027 + 0.932513i
\(37\) 1.02666 + 0.301455i 0.168782 + 0.0495589i 0.365032 0.930995i \(-0.381058\pi\)
−0.196250 + 0.980554i \(0.562876\pi\)
\(38\) −0.307499 2.13870i −0.0498829 0.346943i
\(39\) 5.48241 + 6.32704i 0.877888 + 1.01314i
\(40\) −0.656129 1.43672i −0.103743 0.227166i
\(41\) −9.85631 + 2.89407i −1.53930 + 0.451978i −0.937881 0.346957i \(-0.887215\pi\)
−0.601416 + 0.798936i \(0.705397\pi\)
\(42\) −1.33989 + 2.93395i −0.206749 + 0.452718i
\(43\) −0.247191 + 1.71925i −0.0376963 + 0.262183i −0.999950 0.00996948i \(-0.996827\pi\)
0.962254 + 0.272153i \(0.0877357\pi\)
\(44\) −3.31676 + 2.13155i −0.500020 + 0.321343i
\(45\) 11.6933 1.74313
\(46\) 4.75846 + 0.597548i 0.701597 + 0.0881036i
\(47\) −6.77019 −0.987534 −0.493767 0.869594i \(-0.664381\pi\)
−0.493767 + 0.869594i \(0.664381\pi\)
\(48\) 2.71340 1.74379i 0.391645 0.251695i
\(49\) −0.142315 + 0.989821i −0.0203307 + 0.141403i
\(50\) 1.04075 2.27892i 0.147184 0.322288i
\(51\) −21.5751 + 6.33503i −3.02112 + 0.887082i
\(52\) −1.07825 2.36103i −0.149526 0.327416i
\(53\) −2.61584 3.01884i −0.359314 0.414670i 0.547096 0.837070i \(-0.315733\pi\)
−0.906410 + 0.422400i \(0.861188\pi\)
\(54\) 2.02125 + 14.0581i 0.275057 + 1.91307i
\(55\) 5.97497 + 1.75441i 0.805665 + 0.236565i
\(56\) 0.654861 0.755750i 0.0875094 0.100991i
\(57\) −5.86283 3.76781i −0.776550 0.499059i
\(58\) −5.13709 3.30141i −0.674533 0.433496i
\(59\) −0.713448 + 0.823363i −0.0928830 + 0.107193i −0.800288 0.599616i \(-0.795320\pi\)
0.707405 + 0.706808i \(0.249866\pi\)
\(60\) −4.88805 1.43526i −0.631044 0.185291i
\(61\) 1.25414 + 8.72276i 0.160577 + 1.11684i 0.897550 + 0.440913i \(0.145345\pi\)
−0.736973 + 0.675922i \(0.763746\pi\)
\(62\) 6.72164 + 7.75719i 0.853649 + 0.985164i
\(63\) 3.07546 + 6.73432i 0.387472 + 0.848445i
\(64\) −0.959493 + 0.281733i −0.119937 + 0.0352166i
\(65\) −1.70304 + 3.72914i −0.211236 + 0.462543i
\(66\) −1.80977 + 12.5872i −0.222767 + 1.54938i
\(67\) −4.61008 + 2.96272i −0.563210 + 0.361953i −0.791056 0.611744i \(-0.790468\pi\)
0.227845 + 0.973697i \(0.426832\pi\)
\(68\) 6.97148 0.845416
\(69\) 11.5074 10.3371i 1.38533 1.24444i
\(70\) −1.57945 −0.188781
\(71\) −3.57835 + 2.29967i −0.424672 + 0.272920i −0.735472 0.677555i \(-0.763039\pi\)
0.310800 + 0.950475i \(0.399403\pi\)
\(72\) 1.05361 7.32799i 0.124169 0.863612i
\(73\) 1.57632 3.45166i 0.184494 0.403986i −0.794674 0.607036i \(-0.792358\pi\)
0.979168 + 0.203050i \(0.0650855\pi\)
\(74\) −1.02666 + 0.301455i −0.119347 + 0.0350434i
\(75\) −3.35686 7.35049i −0.387616 0.848762i
\(76\) 1.41495 + 1.63294i 0.162306 + 0.187312i
\(77\) 0.561096 + 3.90251i 0.0639428 + 0.444732i
\(78\) −8.03275 2.35863i −0.909530 0.267062i
\(79\) −5.51737 + 6.36739i −0.620753 + 0.716387i −0.975850 0.218443i \(-0.929902\pi\)
0.355097 + 0.934829i \(0.384448\pi\)
\(80\) 1.32872 + 0.853917i 0.148556 + 0.0954709i
\(81\) 19.8532 + 12.7589i 2.20591 + 1.41765i
\(82\) 6.72700 7.76338i 0.742873 0.857321i
\(83\) 6.31081 + 1.85302i 0.692702 + 0.203396i 0.609088 0.793103i \(-0.291536\pi\)
0.0836138 + 0.996498i \(0.473354\pi\)
\(84\) −0.459025 3.19259i −0.0500838 0.348340i
\(85\) −7.21076 8.32166i −0.782117 0.902611i
\(86\) −0.721547 1.57997i −0.0778064 0.170372i
\(87\) −18.8981 + 5.54899i −2.02609 + 0.594914i
\(88\) 1.63783 3.58635i 0.174593 0.382306i
\(89\) −1.88932 + 13.1405i −0.200268 + 1.39289i 0.603221 + 0.797574i \(0.293884\pi\)
−0.803489 + 0.595320i \(0.797025\pi\)
\(90\) −9.83699 + 6.32185i −1.03691 + 0.666381i
\(91\) −2.59559 −0.272092
\(92\) −4.32613 + 2.06993i −0.451030 + 0.215805i
\(93\) 33.1065 3.43298
\(94\) 5.69545 3.66024i 0.587441 0.377525i
\(95\) 0.485681 3.37798i 0.0498298 0.346574i
\(96\) −1.33989 + 2.93395i −0.136752 + 0.299445i
\(97\) 0.931081 0.273390i 0.0945370 0.0277586i −0.234122 0.972207i \(-0.575222\pi\)
0.328659 + 0.944449i \(0.393403\pi\)
\(98\) −0.415415 0.909632i −0.0419633 0.0918867i
\(99\) 19.1146 + 22.0594i 1.92108 + 2.21705i
\(100\) 0.356545 + 2.47982i 0.0356545 + 0.247982i
\(101\) 4.98162 + 1.46274i 0.495690 + 0.145548i 0.520016 0.854156i \(-0.325926\pi\)
−0.0243263 + 0.999704i \(0.507744\pi\)
\(102\) 14.7252 16.9938i 1.45801 1.68263i
\(103\) 0.816718 + 0.524873i 0.0804736 + 0.0517172i 0.580259 0.814432i \(-0.302951\pi\)
−0.499785 + 0.866149i \(0.666588\pi\)
\(104\) 2.18355 + 1.40328i 0.214114 + 0.137603i
\(105\) −3.33613 + 3.85010i −0.325573 + 0.375731i
\(106\) 3.83270 + 1.12538i 0.372264 + 0.109307i
\(107\) 1.78786 + 12.4349i 0.172839 + 1.20212i 0.872849 + 0.487991i \(0.162270\pi\)
−0.700009 + 0.714134i \(0.746821\pi\)
\(108\) −9.30077 10.7337i −0.894967 1.03285i
\(109\) −7.44330 16.2985i −0.712938 1.56112i −0.823544 0.567253i \(-0.808006\pi\)
0.110605 0.993864i \(-0.464721\pi\)
\(110\) −5.97497 + 1.75441i −0.569691 + 0.167276i
\(111\) −1.43369 + 3.13934i −0.136080 + 0.297973i
\(112\) −0.142315 + 0.989821i −0.0134475 + 0.0935293i
\(113\) −2.93542 + 1.88648i −0.276141 + 0.177465i −0.671380 0.741113i \(-0.734298\pi\)
0.395239 + 0.918578i \(0.370662\pi\)
\(114\) 6.96916 0.652721
\(115\) 6.94543 + 3.02301i 0.647665 + 0.281897i
\(116\) 6.10647 0.566971
\(117\) −16.1656 + 10.3890i −1.49451 + 0.960461i
\(118\) 0.155047 1.07838i 0.0142732 0.0992725i
\(119\) 2.89606 6.34148i 0.265481 0.581323i
\(120\) 4.88805 1.43526i 0.446216 0.131021i
\(121\) 1.88781 + 4.13373i 0.171619 + 0.375793i
\(122\) −5.77093 6.66001i −0.522476 0.602969i
\(123\) −4.71530 32.7956i −0.425164 2.95708i
\(124\) −9.84846 2.89177i −0.884418 0.259688i
\(125\) 7.76293 8.95889i 0.694337 0.801308i
\(126\) −6.22809 4.00255i −0.554843 0.356576i
\(127\) 1.32487 + 0.851443i 0.117563 + 0.0755533i 0.598101 0.801421i \(-0.295922\pi\)
−0.480538 + 0.876974i \(0.659558\pi\)
\(128\) 0.654861 0.755750i 0.0578821 0.0667995i
\(129\) −5.37540 1.57836i −0.473278 0.138967i
\(130\) −0.583436 4.05788i −0.0511707 0.355900i
\(131\) −12.4195 14.3329i −1.08510 1.25227i −0.965767 0.259412i \(-0.916471\pi\)
−0.119329 0.992855i \(-0.538074\pi\)
\(132\) −5.28270 11.5675i −0.459800 1.00682i
\(133\) 2.07317 0.608738i 0.179767 0.0527843i
\(134\) 2.27648 4.98479i 0.196658 0.430620i
\(135\) −3.19247 + 22.2041i −0.274764 + 1.91103i
\(136\) −5.86478 + 3.76907i −0.502901 + 0.323195i
\(137\) −12.1371 −1.03694 −0.518472 0.855094i \(-0.673499\pi\)
−0.518472 + 0.855094i \(0.673499\pi\)
\(138\) −4.09198 + 14.9175i −0.348333 + 1.26986i
\(139\) 15.6737 1.32943 0.664715 0.747097i \(-0.268553\pi\)
0.664715 + 0.747097i \(0.268553\pi\)
\(140\) 1.32872 0.853917i 0.112297 0.0721692i
\(141\) 3.10769 21.6145i 0.261715 1.82027i
\(142\) 1.76701 3.86921i 0.148284 0.324697i
\(143\) −9.81894 + 2.88310i −0.821101 + 0.241097i
\(144\) 3.07546 + 6.73432i 0.256289 + 0.561194i
\(145\) −6.31606 7.28912i −0.524520 0.605328i
\(146\) 0.540023 + 3.75594i 0.0446926 + 0.310844i
\(147\) −3.09477 0.908706i −0.255252 0.0749488i
\(148\) 0.700704 0.808655i 0.0575975 0.0664711i
\(149\) 8.86940 + 5.70001i 0.726609 + 0.466963i 0.850930 0.525279i \(-0.176039\pi\)
−0.124321 + 0.992242i \(0.539675\pi\)
\(150\) 6.79794 + 4.36877i 0.555050 + 0.356709i
\(151\) −4.23592 + 4.88851i −0.344714 + 0.397821i −0.901461 0.432861i \(-0.857504\pi\)
0.556746 + 0.830682i \(0.312049\pi\)
\(152\) −2.07317 0.608738i −0.168156 0.0493752i
\(153\) −7.34520 51.0870i −0.593824 4.13014i
\(154\) −2.58188 2.97965i −0.208054 0.240107i
\(155\) 6.73466 + 14.7468i 0.540941 + 1.18450i
\(156\) 8.03275 2.35863i 0.643135 0.188841i
\(157\) −0.158995 + 0.348151i −0.0126892 + 0.0277855i −0.915870 0.401474i \(-0.868498\pi\)
0.903181 + 0.429259i \(0.141225\pi\)
\(158\) 1.19904 8.33950i 0.0953905 0.663455i
\(159\) 10.8387 6.96559i 0.859563 0.552408i
\(160\) −1.57945 −0.124867
\(161\) 0.0857335 + 4.79507i 0.00675675 + 0.377904i
\(162\) −23.5995 −1.85415
\(163\) −3.07643 + 1.97710i −0.240965 + 0.154859i −0.655550 0.755152i \(-0.727563\pi\)
0.414585 + 0.910011i \(0.363927\pi\)
\(164\) −1.46192 + 10.1679i −0.114157 + 0.793976i
\(165\) −8.34378 + 18.2703i −0.649562 + 1.42234i
\(166\) −6.31081 + 1.85302i −0.489814 + 0.143822i
\(167\) 3.53692 + 7.74477i 0.273695 + 0.599308i 0.995706 0.0925734i \(-0.0295093\pi\)
−0.722011 + 0.691882i \(0.756782\pi\)
\(168\) 2.11220 + 2.43761i 0.162960 + 0.188066i
\(169\) 0.891307 + 6.19917i 0.0685621 + 0.476860i
\(170\) 10.5651 + 3.10220i 0.810307 + 0.237928i
\(171\) 10.4754 12.0893i 0.801074 0.924489i
\(172\) 1.46120 + 0.939056i 0.111415 + 0.0716023i
\(173\) 13.1355 + 8.44168i 0.998674 + 0.641809i 0.934438 0.356126i \(-0.115903\pi\)
0.0642362 + 0.997935i \(0.479539\pi\)
\(174\) 12.8981 14.8852i 0.977802 1.12844i
\(175\) 2.40384 + 0.705831i 0.181713 + 0.0533558i
\(176\) 0.561096 + 3.90251i 0.0422942 + 0.294163i
\(177\) −2.30117 2.65569i −0.172967 0.199614i
\(178\) −5.51491 12.0760i −0.413360 0.905132i
\(179\) −0.936282 + 0.274917i −0.0699810 + 0.0205483i −0.316536 0.948581i \(-0.602520\pi\)
0.246555 + 0.969129i \(0.420702\pi\)
\(180\) 4.85755 10.6366i 0.362061 0.792802i
\(181\) −3.45685 + 24.0429i −0.256946 + 1.78710i 0.297340 + 0.954772i \(0.403901\pi\)
−0.554286 + 0.832326i \(0.687009\pi\)
\(182\) 2.18355 1.40328i 0.161855 0.104018i
\(183\) −28.4239 −2.10116
\(184\) 2.52028 4.08022i 0.185798 0.300798i
\(185\) −1.69002 −0.124253
\(186\) −27.8509 + 17.8987i −2.04213 + 1.31240i
\(187\) 3.91167 27.2063i 0.286050 1.98952i
\(188\) −2.81244 + 6.15839i −0.205118 + 0.449146i
\(189\) −13.6274 + 4.00135i −0.991244 + 0.291056i
\(190\) 1.41769 + 3.10432i 0.102850 + 0.225211i
\(191\) 5.54057 + 6.39416i 0.400901 + 0.462665i 0.919925 0.392095i \(-0.128250\pi\)
−0.519023 + 0.854760i \(0.673704\pi\)
\(192\) −0.459025 3.19259i −0.0331273 0.230405i
\(193\) −8.52827 2.50413i −0.613879 0.180251i −0.0400112 0.999199i \(-0.512739\pi\)
−0.573867 + 0.818948i \(0.694558\pi\)
\(194\) −0.635470 + 0.733371i −0.0456241 + 0.0526530i
\(195\) −11.1239 7.14888i −0.796598 0.511942i
\(196\) 0.841254 + 0.540641i 0.0600895 + 0.0386172i
\(197\) 4.85624 5.60440i 0.345993 0.399297i −0.555905 0.831246i \(-0.687628\pi\)
0.901898 + 0.431948i \(0.142174\pi\)
\(198\) −28.0064 8.22341i −1.99033 0.584413i
\(199\) 1.29013 + 8.97307i 0.0914551 + 0.636084i 0.983062 + 0.183274i \(0.0586695\pi\)
−0.891607 + 0.452811i \(0.850421\pi\)
\(200\) −1.64064 1.89340i −0.116011 0.133883i
\(201\) −7.34260 16.0781i −0.517907 1.13406i
\(202\) −4.98162 + 1.46274i −0.350506 + 0.102918i
\(203\) 2.53672 5.55464i 0.178043 0.389859i
\(204\) −3.20009 + 22.2571i −0.224051 + 1.55831i
\(205\) 13.6492 8.77180i 0.953300 0.612649i
\(206\) −0.970834 −0.0676412
\(207\) 19.7265 + 29.5210i 1.37108 + 2.05185i
\(208\) −2.59559 −0.179972
\(209\) 7.16650 4.60563i 0.495717 0.318578i
\(210\) 0.725010 5.04255i 0.0500304 0.347969i
\(211\) 9.99072 21.8766i 0.687790 1.50605i −0.166384 0.986061i \(-0.553209\pi\)
0.854173 0.519988i \(-0.174064\pi\)
\(212\) −3.83270 + 1.12538i −0.263231 + 0.0772915i
\(213\) −5.69934 12.4798i −0.390513 0.855103i
\(214\) −8.22685 9.49429i −0.562376 0.649016i
\(215\) −0.390427 2.71548i −0.0266269 0.185194i
\(216\) 13.6274 + 4.00135i 0.927224 + 0.272258i
\(217\) −6.72164 + 7.75719i −0.456295 + 0.526592i
\(218\) 15.0734 + 9.68706i 1.02090 + 0.656090i
\(219\) 10.2962 + 6.61694i 0.695750 + 0.447131i
\(220\) 4.07796 4.70622i 0.274936 0.317293i
\(221\) 17.3621 + 5.09798i 1.16790 + 0.342927i
\(222\) −0.491159 3.41609i −0.0329645 0.229273i
\(223\) 15.1756 + 17.5136i 1.01624 + 1.17280i 0.984871 + 0.173292i \(0.0554403\pi\)
0.0313661 + 0.999508i \(0.490014\pi\)
\(224\) −0.415415 0.909632i −0.0277561 0.0607773i
\(225\) 17.7965 5.22552i 1.18643 0.348368i
\(226\) 1.44952 3.17401i 0.0964208 0.211132i
\(227\) 2.37743 16.5354i 0.157795 1.09749i −0.744889 0.667188i \(-0.767498\pi\)
0.902684 0.430303i \(-0.141593\pi\)
\(228\) −5.86283 + 3.76781i −0.388275 + 0.249529i
\(229\) 1.60396 0.105993 0.0529963 0.998595i \(-0.483123\pi\)
0.0529963 + 0.998595i \(0.483123\pi\)
\(230\) −7.47723 + 1.21187i −0.493034 + 0.0799082i
\(231\) −12.7167 −0.836696
\(232\) −5.13709 + 3.30141i −0.337266 + 0.216748i
\(233\) 3.11641 21.6751i 0.204163 1.41998i −0.587599 0.809152i \(-0.699927\pi\)
0.791762 0.610830i \(-0.209164\pi\)
\(234\) 7.98263 17.4795i 0.521841 1.14267i
\(235\) 10.2601 3.01263i 0.669293 0.196522i
\(236\) 0.452580 + 0.991012i 0.0294605 + 0.0645094i
\(237\) −17.7959 20.5375i −1.15596 1.33405i
\(238\) 0.992145 + 6.90052i 0.0643112 + 0.447294i
\(239\) 8.23980 + 2.41942i 0.532989 + 0.156500i 0.537142 0.843492i \(-0.319504\pi\)
−0.00415342 + 0.999991i \(0.501322\pi\)
\(240\) −3.33613 + 3.85010i −0.215346 + 0.248523i
\(241\) 16.6283 + 10.6864i 1.07113 + 0.688371i 0.952491 0.304567i \(-0.0985118\pi\)
0.118635 + 0.992938i \(0.462148\pi\)
\(242\) −3.82299 2.45688i −0.245751 0.157935i
\(243\) −21.9447 + 25.3255i −1.40775 + 1.62463i
\(244\) 8.45549 + 2.48276i 0.541307 + 0.158942i
\(245\) −0.224780 1.56338i −0.0143607 0.0998805i
\(246\) 21.6974 + 25.0402i 1.38338 + 1.59650i
\(247\) 2.32976 + 5.10147i 0.148239 + 0.324599i
\(248\) 9.84846 2.89177i 0.625378 0.183627i
\(249\) −8.81277 + 19.2973i −0.558487 + 1.22291i
\(250\) −1.68705 + 11.7337i −0.106698 + 0.742102i
\(251\) −13.1238 + 8.43413i −0.828364 + 0.532357i −0.884758 0.466051i \(-0.845676\pi\)
0.0563935 + 0.998409i \(0.482040\pi\)
\(252\) 7.40335 0.466367
\(253\) 5.65054 + 18.0442i 0.355246 + 1.13443i
\(254\) −1.57488 −0.0988166
\(255\) 29.8776 19.2012i 1.87101 1.20242i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 11.9499 26.1666i 0.745414 1.63223i −0.0290245 0.999579i \(-0.509240\pi\)
0.774438 0.632650i \(-0.218033\pi\)
\(258\) 5.37540 1.57836i 0.334658 0.0982644i
\(259\) −0.444496 0.973310i −0.0276196 0.0604786i
\(260\) 2.68468 + 3.09828i 0.166497 + 0.192147i
\(261\) −6.43381 44.7482i −0.398243 2.76984i
\(262\) 18.1969 + 5.34308i 1.12421 + 0.330097i
\(263\) −7.21825 + 8.33031i −0.445097 + 0.513669i −0.933318 0.359051i \(-0.883100\pi\)
0.488221 + 0.872720i \(0.337646\pi\)
\(264\) 10.6979 + 6.87515i 0.658413 + 0.423136i
\(265\) 5.30758 + 3.41098i 0.326042 + 0.209535i
\(266\) −1.41495 + 1.63294i −0.0867564 + 0.100122i
\(267\) −41.0851 12.0637i −2.51437 0.738285i
\(268\) 0.779886 + 5.42423i 0.0476391 + 0.331338i
\(269\) −3.52156 4.06409i −0.214713 0.247792i 0.638168 0.769897i \(-0.279692\pi\)
−0.852881 + 0.522105i \(0.825147\pi\)
\(270\) −9.31878 20.4053i −0.567123 1.24183i
\(271\) −1.16323 + 0.341554i −0.0706610 + 0.0207479i −0.316872 0.948468i \(-0.602633\pi\)
0.246211 + 0.969216i \(0.420814\pi\)
\(272\) 2.89606 6.34148i 0.175599 0.384509i
\(273\) 1.19144 8.28665i 0.0721093 0.501531i
\(274\) 10.2104 6.56183i 0.616833 0.396414i
\(275\) 9.87759 0.595641
\(276\) −4.62263 14.7617i −0.278250 0.888551i
\(277\) 12.1964 0.732812 0.366406 0.930455i \(-0.380588\pi\)
0.366406 + 0.930455i \(0.380588\pi\)
\(278\) −13.1856 + 8.47386i −0.790819 + 0.508228i
\(279\) −10.8145 + 75.2162i −0.647445 + 4.50308i
\(280\) −0.656129 + 1.43672i −0.0392112 + 0.0858606i
\(281\) −21.3968 + 6.28268i −1.27643 + 0.374793i −0.848585 0.529060i \(-0.822545\pi\)
−0.427843 + 0.903853i \(0.640727\pi\)
\(282\) 9.07131 + 19.8634i 0.540189 + 1.18285i
\(283\) 20.5420 + 23.7067i 1.22109 + 1.40922i 0.883831 + 0.467807i \(0.154956\pi\)
0.337263 + 0.941410i \(0.390499\pi\)
\(284\) 0.605350 + 4.21030i 0.0359209 + 0.249835i
\(285\) 10.5616 + 3.10116i 0.625614 + 0.183697i
\(286\) 6.70149 7.73394i 0.396268 0.457317i
\(287\) 8.64171 + 5.55369i 0.510104 + 0.327824i
\(288\) −6.22809 4.00255i −0.366994 0.235853i
\(289\) −20.6946 + 23.8829i −1.21733 + 1.40487i
\(290\) 9.25420 + 2.71728i 0.543425 + 0.159564i
\(291\) 0.445433 + 3.09806i 0.0261118 + 0.181611i
\(292\) −2.48491 2.86774i −0.145418 0.167822i
\(293\) 6.53246 + 14.3041i 0.381631 + 0.835654i 0.998807 + 0.0488297i \(0.0155492\pi\)
−0.617176 + 0.786825i \(0.711724\pi\)
\(294\) 3.09477 0.908706i 0.180491 0.0529968i
\(295\) 0.714829 1.56526i 0.0416190 0.0911329i
\(296\) −0.152278 + 1.05911i −0.00885095 + 0.0615597i
\(297\) −47.1068 + 30.2737i −2.73341 + 1.75666i
\(298\) −10.5431 −0.610744
\(299\) −12.2877 + 1.99152i −0.710614 + 0.115172i
\(300\) −8.08073 −0.466541
\(301\) 1.46120 0.939056i 0.0842221 0.0541263i
\(302\) 0.920553 6.40259i 0.0529719 0.368427i
\(303\) −6.95661 + 15.2329i −0.399647 + 0.875105i
\(304\) 2.07317 0.608738i 0.118905 0.0349135i
\(305\) −5.78211 12.6611i −0.331083 0.724970i
\(306\) 33.7989 + 39.0060i 1.93215 + 2.22982i
\(307\) −2.62558 18.2613i −0.149850 1.04223i −0.916463 0.400119i \(-0.868969\pi\)
0.766613 0.642109i \(-0.221940\pi\)
\(308\) 3.78293 + 1.11077i 0.215553 + 0.0632920i
\(309\) −2.05060 + 2.36652i −0.116654 + 0.134626i
\(310\) −13.6383 8.76480i −0.774604 0.497807i
\(311\) −17.7386 11.3999i −1.00586 0.646428i −0.0695423 0.997579i \(-0.522154\pi\)
−0.936319 + 0.351151i \(0.885790\pi\)
\(312\) −5.48241 + 6.32704i −0.310380 + 0.358198i
\(313\) −9.64993 2.83348i −0.545447 0.160158i −0.00261102 0.999997i \(-0.500831\pi\)
−0.542836 + 0.839839i \(0.682649\pi\)
\(314\) −0.0544693 0.378842i −0.00307388 0.0213793i
\(315\) −7.65745 8.83717i −0.431448 0.497918i
\(316\) 3.49998 + 7.66389i 0.196889 + 0.431127i
\(317\) 23.7682 6.97898i 1.33496 0.391979i 0.465089 0.885264i \(-0.346022\pi\)
0.869868 + 0.493285i \(0.164204\pi\)
\(318\) −5.35219 + 11.7197i −0.300136 + 0.657206i
\(319\) 3.42631 23.8305i 0.191837 1.33425i
\(320\) 1.32872 0.853917i 0.0742778 0.0477354i
\(321\) −40.5201 −2.26161
\(322\) −2.66453 3.98751i −0.148489 0.222215i
\(323\) −15.0632 −0.838142
\(324\) 19.8532 12.7589i 1.10296 0.708826i
\(325\) −0.925444 + 6.43660i −0.0513344 + 0.357038i
\(326\) 1.51916 3.32649i 0.0841382 0.184237i
\(327\) 55.4513 16.2820i 3.06646 0.900394i
\(328\) −4.26732 9.34412i −0.235623 0.515943i
\(329\) 4.43353 + 5.11657i 0.244429 + 0.282086i
\(330\) −2.85845 19.8810i −0.157353 1.09441i
\(331\) −19.6507 5.76997i −1.08010 0.317146i −0.307181 0.951651i \(-0.599386\pi\)
−0.772919 + 0.634505i \(0.781204\pi\)
\(332\) 4.30718 4.97075i 0.236387 0.272805i
\(333\) −6.66409 4.28275i −0.365190 0.234693i
\(334\) −7.16258 4.60311i −0.391919 0.251871i
\(335\) 5.66810 6.54133i 0.309681 0.357391i
\(336\) −3.09477 0.908706i −0.168834 0.0495740i
\(337\) 1.54039 + 10.7137i 0.0839105 + 0.583611i 0.987786 + 0.155815i \(0.0498005\pi\)
−0.903876 + 0.427795i \(0.859290\pi\)
\(338\) −4.10134 4.73320i −0.223084 0.257452i
\(339\) −4.67532 10.2375i −0.253929 0.556026i
\(340\) −10.5651 + 3.10220i −0.572973 + 0.168240i
\(341\) −16.8111 + 36.8111i −0.910371 + 1.99343i
\(342\) −2.27652 + 15.8336i −0.123100 + 0.856181i
\(343\) 0.841254 0.540641i 0.0454234 0.0291919i
\(344\) −1.73693 −0.0936491
\(345\) −12.8394 + 20.7863i −0.691248 + 1.11910i
\(346\) −15.6142 −0.839425
\(347\) −6.26807 + 4.02824i −0.336488 + 0.216247i −0.697962 0.716134i \(-0.745910\pi\)
0.361475 + 0.932382i \(0.382273\pi\)
\(348\) −2.80302 + 19.4955i −0.150258 + 1.04507i
\(349\) 0.0802023 0.175619i 0.00429313 0.00940065i −0.907473 0.420110i \(-0.861992\pi\)
0.911766 + 0.410709i \(0.134719\pi\)
\(350\) −2.40384 + 0.705831i −0.128491 + 0.0377283i
\(351\) −15.3140 33.5329i −0.817399 1.78985i
\(352\) −2.58188 2.97965i −0.137615 0.158816i
\(353\) 2.82815 + 19.6702i 0.150527 + 1.04694i 0.915339 + 0.402685i \(0.131923\pi\)
−0.764812 + 0.644254i \(0.777168\pi\)
\(354\) 3.37164 + 0.990004i 0.179201 + 0.0526181i
\(355\) 4.39959 5.07740i 0.233506 0.269480i
\(356\) 11.1682 + 7.17737i 0.591913 + 0.380400i
\(357\) 18.9164 + 12.1568i 1.00116 + 0.643408i
\(358\) 0.639019 0.737467i 0.0337732 0.0389764i
\(359\) −21.9575 6.44732i −1.15887 0.340276i −0.354880 0.934912i \(-0.615478\pi\)
−0.803995 + 0.594636i \(0.797296\pi\)
\(360\) 1.66412 + 11.5742i 0.0877070 + 0.610016i
\(361\) 9.38507 + 10.8309i 0.493951 + 0.570050i
\(362\) −10.0905 22.0951i −0.530345 1.16129i
\(363\) −14.0639 + 4.12952i −0.738161 + 0.216744i
\(364\) −1.07825 + 2.36103i −0.0565155 + 0.123752i
\(365\) −0.852941 + 5.93234i −0.0446450 + 0.310513i
\(366\) 23.9117 15.3671i 1.24988 0.803252i
\(367\) −9.36285 −0.488737 −0.244368 0.969682i \(-0.578581\pi\)
−0.244368 + 0.969682i \(0.578581\pi\)
\(368\) 0.0857335 + 4.79507i 0.00446917 + 0.249960i
\(369\) 76.0503 3.95902
\(370\) 1.42174 0.913696i 0.0739126 0.0475008i
\(371\) −0.568477 + 3.95384i −0.0295139 + 0.205273i
\(372\) 13.7529 30.1147i 0.713056 1.56138i
\(373\) −19.6058 + 5.75679i −1.01515 + 0.298075i −0.746659 0.665206i \(-0.768344\pi\)
−0.268492 + 0.963282i \(0.586525\pi\)
\(374\) 11.4181 + 25.0022i 0.590416 + 1.29283i
\(375\) 25.0387 + 28.8962i 1.29299 + 1.49219i
\(376\) −0.963499 6.70128i −0.0496887 0.345592i
\(377\) 15.2078 + 4.46543i 0.783244 + 0.229981i
\(378\) 9.30077 10.7337i 0.478380 0.552080i
\(379\) −10.5603 6.78672i −0.542448 0.348610i 0.240548 0.970637i \(-0.422673\pi\)
−0.782996 + 0.622027i \(0.786309\pi\)
\(380\) −2.87096 1.84506i −0.147277 0.0946494i
\(381\) −3.32646 + 3.83894i −0.170420 + 0.196675i
\(382\) −8.11796 2.38365i −0.415351 0.121958i
\(383\) 1.18669 + 8.25361i 0.0606370 + 0.421740i 0.997417 + 0.0718220i \(0.0228813\pi\)
−0.936780 + 0.349918i \(0.886210\pi\)
\(384\) 2.11220 + 2.43761i 0.107788 + 0.124394i
\(385\) −2.58688 5.66447i −0.131840 0.288688i
\(386\) 8.52827 2.50413i 0.434078 0.127457i
\(387\) 5.34187 11.6971i 0.271542 0.594595i
\(388\) 0.138101 0.960512i 0.00701100 0.0487626i
\(389\) 20.3025 13.0476i 1.02938 0.661542i 0.0870415 0.996205i \(-0.472259\pi\)
0.942338 + 0.334663i \(0.108622\pi\)
\(390\) 13.2230 0.669572
\(391\) 8.84448 32.2430i 0.447284 1.63060i
\(392\) −1.00000 −0.0505076
\(393\) 51.4598 33.0712i 2.59580 1.66822i
\(394\) −1.05536 + 7.34021i −0.0531684 + 0.369794i
\(395\) 5.52806 12.1048i 0.278147 0.609056i
\(396\) 28.0064 8.22341i 1.40737 0.413242i
\(397\) 5.45971 + 11.9551i 0.274015 + 0.600010i 0.995744 0.0921668i \(-0.0293793\pi\)
−0.721728 + 0.692176i \(0.756652\pi\)
\(398\) −5.93654 6.85113i −0.297572 0.343416i
\(399\) 0.991814 + 6.89822i 0.0496528 + 0.345343i
\(400\) 2.40384 + 0.705831i 0.120192 + 0.0352916i
\(401\) 16.1523 18.6407i 0.806606 0.930873i −0.192118 0.981372i \(-0.561536\pi\)
0.998724 + 0.0504991i \(0.0160812\pi\)
\(402\) 14.8694 + 9.55601i 0.741620 + 0.476610i
\(403\) −22.4124 14.4036i −1.11644 0.717494i
\(404\) 3.39999 3.92380i 0.169156 0.195216i
\(405\) −35.7645 10.5014i −1.77715 0.521819i
\(406\) 0.869041 + 6.04431i 0.0431298 + 0.299974i
\(407\) −2.76262 3.18824i −0.136938 0.158035i
\(408\) −9.34101 20.4540i −0.462449 1.01262i
\(409\) −22.4841 + 6.60191i −1.11177 + 0.326444i −0.785517 0.618840i \(-0.787603\pi\)
−0.326248 + 0.945284i \(0.605785\pi\)
\(410\) −6.74003 + 14.7586i −0.332866 + 0.728876i
\(411\) 5.57125 38.7489i 0.274810 1.91134i
\(412\) 0.816718 0.524873i 0.0402368 0.0258586i
\(413\) 1.08946 0.0536091
\(414\) −32.5552 14.1697i −1.60000 0.696402i
\(415\) −10.3884 −0.509949
\(416\) 2.18355 1.40328i 0.107057 0.0688015i
\(417\) −7.19464 + 50.0399i −0.352323 + 2.45046i
\(418\) −3.53885 + 7.74901i −0.173091 + 0.379016i
\(419\) −12.7494 + 3.74356i −0.622849 + 0.182885i −0.577904 0.816105i \(-0.696129\pi\)
−0.0449446 + 0.998989i \(0.514311\pi\)
\(420\) 2.11629 + 4.63404i 0.103265 + 0.226118i
\(421\) −4.61323 5.32395i −0.224835 0.259473i 0.632113 0.774876i \(-0.282188\pi\)
−0.856948 + 0.515403i \(0.827642\pi\)
\(422\) 3.42267 + 23.8052i 0.166613 + 1.15882i
\(423\) 48.0918 + 14.1210i 2.33830 + 0.686588i
\(424\) 2.61584 3.01884i 0.127037 0.146608i
\(425\) −14.6932 9.44274i −0.712724 0.458040i
\(426\) 11.5417 + 7.41740i 0.559197 + 0.359374i
\(427\) 5.77093 6.66001i 0.279275 0.322301i
\(428\) 12.0539 + 3.53933i 0.582645 + 0.171080i
\(429\) −4.69742 32.6713i −0.226794 1.57738i
\(430\) 1.79655 + 2.07333i 0.0866372 + 0.0999846i
\(431\) −17.0855 37.4121i −0.822982 1.80208i −0.536225 0.844075i \(-0.680150\pi\)
−0.286757 0.958003i \(-0.592577\pi\)
\(432\) −13.6274 + 4.00135i −0.655646 + 0.192515i
\(433\) 0.722146 1.58128i 0.0347041 0.0759915i −0.891486 0.453048i \(-0.850337\pi\)
0.926190 + 0.377057i \(0.123064\pi\)
\(434\) 1.46075 10.1598i 0.0701184 0.487684i
\(435\) 26.1704 16.8187i 1.25478 0.806395i
\(436\) −17.9177 −0.858104
\(437\) 9.34745 4.47248i 0.447149 0.213948i
\(438\) −12.2391 −0.584805
\(439\) 4.60112 2.95696i 0.219599 0.141128i −0.426216 0.904621i \(-0.640154\pi\)
0.645816 + 0.763493i \(0.276517\pi\)
\(440\) −0.886225 + 6.16383i −0.0422491 + 0.293849i
\(441\) 3.07546 6.73432i 0.146451 0.320682i
\(442\) −17.3621 + 5.09798i −0.825832 + 0.242486i
\(443\) −14.6971 32.1821i −0.698278 1.52902i −0.842047 0.539405i \(-0.818649\pi\)
0.143768 0.989611i \(-0.454078\pi\)
\(444\) 2.26007 + 2.60826i 0.107258 + 0.123782i
\(445\) −2.98410 20.7549i −0.141460 0.983876i
\(446\) −22.2352 6.52883i −1.05287 0.309149i
\(447\) −22.2691 + 25.6999i −1.05329 + 1.21556i
\(448\) 0.841254 + 0.540641i 0.0397455 + 0.0255429i
\(449\) −17.6668 11.3538i −0.833750 0.535818i 0.0527176 0.998609i \(-0.483212\pi\)
−0.886467 + 0.462791i \(0.846848\pi\)
\(450\) −12.1462 + 14.0175i −0.572578 + 0.660791i
\(451\) 38.8599 + 11.4103i 1.82984 + 0.537289i
\(452\) 0.496584 + 3.45382i 0.0233574 + 0.162454i
\(453\) −13.6626 15.7675i −0.641926 0.740822i
\(454\) 6.93968 + 15.1958i 0.325695 + 0.713173i
\(455\) 3.93355 1.15499i 0.184408 0.0541470i
\(456\) 2.89509 6.33937i 0.135575 0.296868i
\(457\) −1.45351 + 10.1094i −0.0679921 + 0.472896i 0.927169 + 0.374643i \(0.122235\pi\)
−0.995161 + 0.0982531i \(0.968675\pi\)
\(458\) −1.34934 + 0.867166i −0.0630504 + 0.0405200i
\(459\) 99.0136 4.62156
\(460\) 5.63506 5.06198i 0.262736 0.236016i
\(461\) −36.2066 −1.68631 −0.843154 0.537672i \(-0.819304\pi\)
−0.843154 + 0.537672i \(0.819304\pi\)
\(462\) 10.6979 6.87515i 0.497713 0.319861i
\(463\) 1.32392 9.20806i 0.0615277 0.427935i −0.935655 0.352917i \(-0.885190\pi\)
0.997182 0.0750173i \(-0.0239012\pi\)
\(464\) 2.53672 5.55464i 0.117764 0.257868i
\(465\) −50.1720 + 14.7318i −2.32667 + 0.683173i
\(466\) 9.09675 + 19.9191i 0.421399 + 0.922735i
\(467\) 3.54146 + 4.08706i 0.163879 + 0.189127i 0.831750 0.555151i \(-0.187339\pi\)
−0.667870 + 0.744278i \(0.732794\pi\)
\(468\) 2.73473 + 19.0205i 0.126413 + 0.879221i
\(469\) 5.25803 + 1.54390i 0.242793 + 0.0712905i
\(470\) −7.00256 + 8.08139i −0.323004 + 0.372767i
\(471\) −1.03852 0.667417i −0.0478525 0.0307529i
\(472\) −0.916516 0.589009i −0.0421861 0.0271113i
\(473\) 4.48455 5.17544i 0.206200 0.237967i
\(474\) 26.0742 + 7.65609i 1.19763 + 0.351656i
\(475\) −0.770385 5.35814i −0.0353477 0.245849i
\(476\) −4.56535 5.26869i −0.209252 0.241490i
\(477\) 12.2849 + 26.9003i 0.562489 + 1.23168i
\(478\) −8.23980 + 2.41942i −0.376880 + 0.110662i
\(479\) 0.291423 0.638128i 0.0133155 0.0291568i −0.902857 0.429940i \(-0.858535\pi\)
0.916173 + 0.400783i \(0.131262\pi\)
\(480\) 0.725010 5.04255i 0.0330920 0.230160i
\(481\) 2.33641 1.50152i 0.106531 0.0684633i
\(482\) −19.7662 −0.900324
\(483\) −15.3480 1.92734i −0.698360 0.0876972i
\(484\) 4.54439 0.206563
\(485\) −1.28938 + 0.828632i −0.0585476 + 0.0376262i
\(486\) 4.76904 33.1694i 0.216328 1.50459i
\(487\) −3.32707 + 7.28526i −0.150764 + 0.330127i −0.969912 0.243455i \(-0.921719\pi\)
0.819148 + 0.573582i \(0.194446\pi\)
\(488\) −8.45549 + 2.48276i −0.382762 + 0.112389i
\(489\) −4.89992 10.7293i −0.221582 0.485197i
\(490\) 1.03432 + 1.19367i 0.0467259 + 0.0539246i
\(491\) 1.76401 + 12.2690i 0.0796088 + 0.553691i 0.990122 + 0.140211i \(0.0447780\pi\)
−0.910513 + 0.413481i \(0.864313\pi\)
\(492\) −31.7908 9.33461i −1.43324 0.420837i
\(493\) −27.8782 + 32.1731i −1.25557 + 1.44900i
\(494\) −4.71798 3.03206i −0.212272 0.136419i
\(495\) −38.7837 24.9248i −1.74320 1.12028i
\(496\) −6.72164 + 7.75719i −0.301811 + 0.348308i
\(497\) 4.08129 + 1.19838i 0.183071 + 0.0537545i
\(498\) −3.01912 20.9984i −0.135290 0.940963i
\(499\) 25.0955 + 28.9618i 1.12343 + 1.29651i 0.950205 + 0.311626i \(0.100874\pi\)
0.173226 + 0.984882i \(0.444581\pi\)
\(500\) −4.92446 10.7831i −0.220229 0.482233i
\(501\) −26.3494 + 7.73689i −1.17721 + 0.345659i
\(502\) 6.48057 14.1905i 0.289242 0.633352i
\(503\) 3.21208 22.3405i 0.143219 0.996113i −0.783777 0.621043i \(-0.786709\pi\)
0.926996 0.375071i \(-0.122382\pi\)
\(504\) −6.22809 + 4.00255i −0.277421 + 0.178288i
\(505\) −8.20042 −0.364914
\(506\) −14.5090 12.1248i −0.645002 0.539014i
\(507\) −20.2006 −0.897139
\(508\) 1.32487 0.851443i 0.0587817 0.0377767i
\(509\) −2.30942 + 16.0624i −0.102363 + 0.711952i 0.872413 + 0.488769i \(0.162554\pi\)
−0.974777 + 0.223183i \(0.928355\pi\)
\(510\) −14.7537 + 32.3061i −0.653305 + 1.43054i
\(511\) −3.64086 + 1.06905i −0.161062 + 0.0472921i
\(512\) −0.415415 0.909632i −0.0183589 0.0402004i
\(513\) 20.0961 + 23.1922i 0.887265 + 1.02396i
\(514\) 4.09385 + 28.4734i 0.180572 + 1.25591i
\(515\) −1.47127 0.432005i −0.0648321 0.0190364i
\(516\) −3.66875 + 4.23396i −0.161508 + 0.186390i
\(517\) 22.4551 + 14.4310i 0.987574 + 0.634675i
\(518\) 0.900145 + 0.578488i 0.0395501 + 0.0254173i
\(519\) −32.9804 + 38.0614i −1.44768 + 1.67071i
\(520\) −3.93355 1.15499i −0.172498 0.0506499i
\(521\) −3.49150 24.2839i −0.152966 1.06390i −0.911214 0.411933i \(-0.864854\pi\)
0.758248 0.651966i \(-0.226055\pi\)
\(522\) 29.6051 + 34.1662i 1.29578 + 1.49541i
\(523\) 7.20482 + 15.7764i 0.315045 + 0.689852i 0.999221 0.0394647i \(-0.0125653\pi\)
−0.684176 + 0.729317i \(0.739838\pi\)
\(524\) −18.1969 + 5.34308i −0.794934 + 0.233414i
\(525\) −3.35686 + 7.35049i −0.146505 + 0.320802i
\(526\) 1.56868 10.9104i 0.0683975 0.475715i
\(527\) 60.1975 38.6866i 2.62224 1.68521i
\(528\) −12.7167 −0.553422
\(529\) 4.08498 + 22.6343i 0.177608 + 0.984101i
\(530\) −6.30913 −0.274051
\(531\) 6.78529 4.36064i 0.294456 0.189236i
\(532\) 0.307499 2.13870i 0.0133318 0.0927245i
\(533\) −11.0762 + 24.2535i −0.479763 + 1.05054i
\(534\) 41.0851 12.0637i 1.77793 0.522047i
\(535\) −8.24278 18.0492i −0.356366 0.780334i
\(536\) −3.58864 4.14151i −0.155006 0.178886i
\(537\) −0.447921 3.11536i −0.0193292 0.134438i
\(538\) 5.15974 + 1.51504i 0.222452 + 0.0653178i
\(539\) 2.58188 2.97965i 0.111209 0.128342i
\(540\) 18.8714 + 12.1279i 0.812095 + 0.521902i
\(541\) −16.3505 10.5079i −0.702965 0.451768i 0.139709 0.990193i \(-0.455383\pi\)
−0.842674 + 0.538425i \(0.819020\pi\)
\(542\) 0.793911 0.916222i 0.0341014 0.0393551i
\(543\) −75.1725 22.0726i −3.22596 0.947228i
\(544\) 0.992145 + 6.90052i 0.0425379 + 0.295857i
\(545\) 18.5327 + 21.3879i 0.793854 + 0.916157i
\(546\) 3.47780 + 7.61532i 0.148836 + 0.325906i
\(547\) −36.8392 + 10.8170i −1.57513 + 0.462500i −0.948490 0.316809i \(-0.897389\pi\)
−0.626641 + 0.779308i \(0.715571\pi\)
\(548\) −5.04195 + 11.0403i −0.215381 + 0.471619i
\(549\) 9.28486 64.5776i 0.396268 2.75611i
\(550\) −8.30956 + 5.34023i −0.354321 + 0.227708i
\(551\) −13.1942 −0.562092
\(552\) 11.8696 + 9.91916i 0.505203 + 0.422188i
\(553\) 8.42526 0.358278
\(554\) −10.2603 + 6.59388i −0.435918 + 0.280147i
\(555\) 0.775764 5.39555i 0.0329293 0.229029i
\(556\) 6.51111 14.2573i 0.276132 0.604646i
\(557\) 22.8458 6.70813i 0.968008 0.284233i 0.240742 0.970589i \(-0.422609\pi\)
0.727265 + 0.686356i \(0.240791\pi\)
\(558\) −31.5673 69.1226i −1.33635 2.92620i
\(559\) 2.95235 + 3.40719i 0.124871 + 0.144109i
\(560\) −0.224780 1.56338i −0.00949868 0.0660648i
\(561\) 85.0629 + 24.9767i 3.59136 + 1.05452i
\(562\) 14.6035 16.8533i 0.616011 0.710915i
\(563\) −2.82245 1.81388i −0.118952 0.0764460i 0.479812 0.877371i \(-0.340705\pi\)
−0.598764 + 0.800925i \(0.704341\pi\)
\(564\) −18.3702 11.8058i −0.773526 0.497115i
\(565\) 3.60910 4.16512i 0.151836 0.175228i
\(566\) −30.0978 8.83752i −1.26511 0.371469i
\(567\) −3.35856 23.3593i −0.141046 0.980999i
\(568\) −2.78551 3.21465i −0.116877 0.134884i
\(569\) −12.3416 27.0244i −0.517389 1.13292i −0.970419 0.241428i \(-0.922384\pi\)
0.453030 0.891495i \(-0.350343\pi\)
\(570\) −10.5616 + 3.10116i −0.442376 + 0.129893i
\(571\) −9.45896 + 20.7122i −0.395845 + 0.866780i 0.601830 + 0.798624i \(0.294439\pi\)
−0.997675 + 0.0681552i \(0.978289\pi\)
\(572\) −1.45637 + 10.1293i −0.0608941 + 0.423527i
\(573\) −22.9572 + 14.7537i −0.959051 + 0.616344i
\(574\) −10.2724 −0.428762
\(575\) 11.9215 + 1.49705i 0.497160 + 0.0624314i
\(576\) 7.40335 0.308473
\(577\) −7.47680 + 4.80505i −0.311263 + 0.200037i −0.686940 0.726714i \(-0.741047\pi\)
0.375677 + 0.926751i \(0.377410\pi\)
\(578\) 4.49737 31.2799i 0.187066 1.30107i
\(579\) 11.9094 26.0778i 0.494936 1.08376i
\(580\) −9.25420 + 2.71728i −0.384260 + 0.112829i
\(581\) −2.73228 5.98287i −0.113354 0.248211i
\(582\) −2.04966 2.36543i −0.0849610 0.0980503i
\(583\) 2.24130 + 15.5886i 0.0928251 + 0.645613i
\(584\) 3.64086 + 1.06905i 0.150660 + 0.0442377i
\(585\) 19.8756 22.9377i 0.821755 0.948355i
\(586\) −13.2288 8.50166i −0.546478 0.351200i
\(587\) 3.06619 + 1.97052i 0.126555 + 0.0813321i 0.602387 0.798204i \(-0.294216\pi\)
−0.475832 + 0.879536i \(0.657853\pi\)
\(588\) −2.11220 + 2.43761i −0.0871058 + 0.100525i
\(589\) 21.2795 + 6.24823i 0.876807 + 0.257454i
\(590\) 0.244890 + 1.70325i 0.0100819 + 0.0701215i
\(591\) 15.6634 + 18.0766i 0.644308 + 0.743571i
\(592\) −0.444496 0.973310i −0.0182687 0.0400028i
\(593\) 10.0590 2.95359i 0.413074 0.121289i −0.0685913 0.997645i \(-0.521850\pi\)
0.481665 + 0.876355i \(0.340032\pi\)
\(594\) 23.2616 50.9357i 0.954433 2.08992i
\(595\) −1.56705 + 10.8991i −0.0642427 + 0.446818i
\(596\) 8.86940 5.70001i 0.363305 0.233482i
\(597\) −29.2396 −1.19670
\(598\) 9.26034 8.31858i 0.378684 0.340172i
\(599\) −33.3206 −1.36144 −0.680721 0.732543i \(-0.738333\pi\)
−0.680721 + 0.732543i \(0.738333\pi\)
\(600\) 6.79794 4.36877i 0.277525 0.178354i
\(601\) 2.60355 18.1081i 0.106201 0.738644i −0.865239 0.501359i \(-0.832833\pi\)
0.971440 0.237285i \(-0.0762575\pi\)
\(602\) −0.721547 + 1.57997i −0.0294081 + 0.0643947i
\(603\) 38.9270 11.4300i 1.58523 0.465466i
\(604\) 2.68708 + 5.88389i 0.109336 + 0.239412i
\(605\) −4.70037 5.42452i −0.191097 0.220538i
\(606\) −2.38323 16.5757i −0.0968121 0.673343i
\(607\) −4.22590 1.24084i −0.171524 0.0503640i 0.194843 0.980834i \(-0.437580\pi\)
−0.366367 + 0.930470i \(0.619398\pi\)
\(608\) −1.41495 + 1.63294i −0.0573840 + 0.0662247i
\(609\) 16.5693 + 10.6484i 0.671421 + 0.431496i
\(610\) 11.7093 + 7.52511i 0.474096 + 0.304683i
\(611\) −11.5076 + 13.2805i −0.465549 + 0.537272i
\(612\) −49.5217 14.5409i −2.00179 0.587780i
\(613\) 4.34516 + 30.2213i 0.175499 + 1.22062i 0.867022 + 0.498270i \(0.166031\pi\)
−0.691523 + 0.722355i \(0.743060\pi\)
\(614\) 12.0816 + 13.9429i 0.487573 + 0.562690i
\(615\) 21.7394 + 47.6027i 0.876619 + 1.91953i
\(616\) −3.78293 + 1.11077i −0.152419 + 0.0447542i
\(617\) 17.9612 39.3296i 0.723092 1.58335i −0.0864283 0.996258i \(-0.527545\pi\)
0.809520 0.587092i \(-0.199727\pi\)
\(618\) 0.445638 3.09948i 0.0179262 0.124679i
\(619\) −18.4821 + 11.8777i −0.742858 + 0.477406i −0.856520 0.516114i \(-0.827378\pi\)
0.113662 + 0.993519i \(0.463742\pi\)
\(620\) 16.2119 0.651085
\(621\) −61.4426 + 29.3985i −2.46560 + 1.17972i
\(622\) 21.0859 0.845466
\(623\) 11.1682 7.17737i 0.447445 0.287555i
\(624\) 1.19144 8.28665i 0.0476958 0.331732i
\(625\) −2.57421 + 5.63674i −0.102969 + 0.225470i
\(626\) 9.64993 2.83348i 0.385689 0.113248i
\(627\) 11.4143 + 24.9938i 0.455843 + 0.998157i
\(628\) 0.250640 + 0.289254i 0.0100016 + 0.0115425i
\(629\) 1.06160 + 7.38359i 0.0423288 + 0.294403i
\(630\) 11.2196 + 3.29437i 0.446999 + 0.131251i
\(631\) 10.3504 11.9450i 0.412042 0.475522i −0.511354 0.859370i \(-0.670856\pi\)
0.923396 + 0.383848i \(0.125401\pi\)
\(632\) −7.08778 4.55504i −0.281937 0.181190i
\(633\) 65.2572 + 41.9382i 2.59374 + 1.66690i
\(634\) −16.2220 + 18.7212i −0.644257 + 0.743512i
\(635\) −2.38669 0.700795i −0.0947128 0.0278102i
\(636\) −1.83358 12.7528i −0.0727061 0.505682i
\(637\) 1.69975 + 1.96161i 0.0673465 + 0.0777220i
\(638\) 10.0014 + 21.8999i 0.395958 + 0.867026i
\(639\) 30.2152 8.87200i 1.19530 0.350971i
\(640\) −0.656129 + 1.43672i −0.0259358 + 0.0567914i
\(641\) 1.70187 11.8368i 0.0672200 0.467525i −0.928212 0.372052i \(-0.878654\pi\)
0.995432 0.0954736i \(-0.0304365\pi\)
\(642\) 34.0877 21.9068i 1.34533 0.864594i
\(643\) −8.03903 −0.317028 −0.158514 0.987357i \(-0.550670\pi\)
−0.158514 + 0.987357i \(0.550670\pi\)
\(644\) 4.39736 + 1.91396i 0.173280 + 0.0754204i
\(645\) 8.84863 0.348415
\(646\) 12.6720 8.14381i 0.498574 0.320414i
\(647\) 0.780966 5.43174i 0.0307030 0.213544i −0.968694 0.248256i \(-0.920142\pi\)
0.999397 + 0.0347125i \(0.0110516\pi\)
\(648\) −9.80360 + 21.4669i −0.385122 + 0.843299i
\(649\) 4.12137 1.21014i 0.161778 0.0475023i
\(650\) −2.70136 5.91515i −0.105956 0.232011i
\(651\) −21.6801 25.0202i −0.849711 0.980619i
\(652\) 0.520440 + 3.61974i 0.0203820 + 0.141760i
\(653\) 20.7329 + 6.08772i 0.811340 + 0.238231i 0.660983 0.750401i \(-0.270139\pi\)
0.150357 + 0.988632i \(0.451958\pi\)
\(654\) −37.8459 + 43.6765i −1.47989 + 1.70789i
\(655\) 25.1993 + 16.1946i 0.984618 + 0.632776i
\(656\) 8.64171 + 5.55369i 0.337402 + 0.216835i
\(657\) −18.3967 + 21.2309i −0.717722 + 0.828296i
\(658\) −6.49595 1.90738i −0.253239 0.0743576i
\(659\) 2.52957 + 17.5935i 0.0985380 + 0.685347i 0.977882 + 0.209159i \(0.0670727\pi\)
−0.879344 + 0.476188i \(0.842018\pi\)
\(660\) 13.1531 + 15.1795i 0.511985 + 0.590863i
\(661\) −0.325799 0.713399i −0.0126721 0.0277480i 0.903190 0.429241i \(-0.141219\pi\)
−0.915862 + 0.401493i \(0.868492\pi\)
\(662\) 19.6507 5.76997i 0.763746 0.224256i
\(663\) −24.2454 + 53.0901i −0.941614 + 2.06185i
\(664\) −0.936039 + 6.51029i −0.0363253 + 0.252648i
\(665\) −2.87096 + 1.84506i −0.111331 + 0.0715482i
\(666\) 7.92162 0.306956
\(667\) 7.74706 28.2423i 0.299967 1.09355i
\(668\) 8.51418 0.329423
\(669\) −62.8799 + 40.4105i −2.43108 + 1.56236i
\(670\) −1.23179 + 8.56732i −0.0475884 + 0.330984i
\(671\) 14.4333 31.6046i 0.557192 1.22008i
\(672\) 3.09477 0.908706i 0.119383 0.0350541i
\(673\) −8.81076 19.2929i −0.339630 0.743686i 0.660344 0.750964i \(-0.270411\pi\)
−0.999974 + 0.00727779i \(0.997683\pi\)
\(674\) −7.08811 8.18011i −0.273024 0.315086i
\(675\) 5.06389 + 35.2201i 0.194909 + 1.35562i
\(676\) 6.00923 + 1.76447i 0.231124 + 0.0678642i
\(677\) 7.16811 8.27244i 0.275493 0.317936i −0.601095 0.799178i \(-0.705269\pi\)
0.876588 + 0.481242i \(0.159814\pi\)
\(678\) 9.46796 + 6.08469i 0.363615 + 0.233681i
\(679\) −0.816343 0.524632i −0.0313284 0.0201335i
\(680\) 7.21076 8.32166i 0.276520 0.319121i
\(681\) 51.6994 + 15.1803i 1.98113 + 0.581711i
\(682\) −5.75922 40.0562i −0.220532 1.53383i
\(683\) 15.6391 + 18.0485i 0.598413 + 0.690606i 0.971459 0.237207i \(-0.0762320\pi\)
−0.373046 + 0.927813i \(0.621687\pi\)
\(684\) −6.64514 14.5508i −0.254083 0.556365i
\(685\) 18.3935 5.40082i 0.702780 0.206355i
\(686\) −0.415415 + 0.909632i −0.0158606 + 0.0347299i
\(687\) −0.736259 + 5.12079i −0.0280900 + 0.195370i
\(688\) 1.46120 0.939056i 0.0557077 0.0358012i
\(689\) −10.3681 −0.394993
\(690\) −0.436762 24.4280i −0.0166272 0.929959i
\(691\) 20.8592 0.793521 0.396761 0.917922i \(-0.370134\pi\)
0.396761 + 0.917922i \(0.370134\pi\)
\(692\) 13.1355 8.44168i 0.499337 0.320904i
\(693\) 4.15399 28.8916i 0.157797 1.09750i
\(694\) 3.09520 6.77755i 0.117492 0.257272i
\(695\) −23.7532 + 6.97456i −0.901009 + 0.264560i
\(696\) −8.18199 17.9161i −0.310137 0.679106i
\(697\) −46.8972 54.1222i −1.77636 2.05003i
\(698\) 0.0274761 + 0.191100i 0.00103999 + 0.00723326i
\(699\) 67.7692 + 19.8988i 2.56327 + 0.752643i
\(700\) 1.64064 1.89340i 0.0620103 0.0715637i
\(701\) −39.7299 25.5328i −1.50058 0.964362i −0.994816 0.101688i \(-0.967576\pi\)
−0.505760 0.862674i \(-0.668788\pi\)
\(702\) 31.0122 + 19.9303i 1.17048 + 0.752222i
\(703\) −1.51401 + 1.74726i −0.0571019 + 0.0658991i
\(704\) 3.78293 + 1.11077i 0.142575 + 0.0418637i
\(705\) 4.90846 + 34.1391i 0.184863 + 1.28575i
\(706\) −13.0137 15.0186i −0.489777 0.565233i
\(707\) −2.15681 4.72275i −0.0811150 0.177617i
\(708\) −3.37164 + 0.990004i −0.126714 + 0.0372066i
\(709\) 7.84356 17.1750i 0.294571 0.645021i −0.703254 0.710939i \(-0.748270\pi\)
0.997825 + 0.0659180i \(0.0209976\pi\)
\(710\) −0.956122 + 6.64997i −0.0358826 + 0.249569i
\(711\) 52.4733 33.7225i 1.96790 1.26469i
\(712\) −13.2757 −0.497527
\(713\) −25.8688 + 41.8803i −0.968793 + 1.56843i
\(714\) −22.4860 −0.841516
\(715\) 13.5974 8.73853i 0.508515 0.326803i
\(716\) −0.138872 + 0.965877i −0.00518989 + 0.0360965i
\(717\) −11.5065 + 25.1958i −0.429719 + 0.940953i
\(718\) 21.9575 6.44732i 0.819448 0.240612i
\(719\) 9.87659 + 21.6267i 0.368335 + 0.806540i 0.999522 + 0.0309100i \(0.00984053\pi\)
−0.631188 + 0.775630i \(0.717432\pi\)
\(720\) −7.65745 8.83717i −0.285376 0.329342i
\(721\) −0.138164 0.960952i −0.00514550 0.0357877i
\(722\) −13.7509 4.03762i −0.511754 0.150265i
\(723\) −41.7501 + 48.1822i −1.55270 + 1.79192i
\(724\) 20.4342 + 13.1323i 0.759431 + 0.488057i
\(725\) −12.8701 8.27109i −0.477982 0.307181i
\(726\) 9.59868 11.0775i 0.356240 0.411123i
\(727\) 44.7003 + 13.1252i 1.65784 + 0.486787i 0.970812 0.239840i \(-0.0770951\pi\)
0.687032 + 0.726627i \(0.258913\pi\)
\(728\) −0.369391 2.56917i −0.0136905 0.0952197i
\(729\) −24.4177 28.1795i −0.904359 1.04369i
\(730\) −2.48972 5.45173i −0.0921488 0.201778i
\(731\) −11.6185 + 3.41149i −0.429725 + 0.126179i
\(732\) −11.8077 + 25.8553i −0.436426 + 0.955639i
\(733\) 2.51189 17.4706i 0.0927787 0.645290i −0.889371 0.457187i \(-0.848857\pi\)
0.982149 0.188103i \(-0.0602339\pi\)
\(734\) 7.87653 5.06194i 0.290728 0.186840i
\(735\) 5.09441 0.187910
\(736\) −2.66453 3.98751i −0.0982159 0.146982i
\(737\) 21.6057 0.795856
\(738\) −63.9776 + 41.1159i −2.35505 + 1.51350i
\(739\) −5.55250 + 38.6185i −0.204252 + 1.42060i 0.587235 + 0.809417i \(0.300216\pi\)
−0.791487 + 0.611186i \(0.790693\pi\)
\(740\) −0.702061 + 1.53730i −0.0258083 + 0.0565122i
\(741\) −17.3563 + 5.09628i −0.637601 + 0.187216i
\(742\) −1.65938 3.63353i −0.0609176 0.133391i
\(743\) −23.7337 27.3902i −0.870707 1.00485i −0.999912 0.0132313i \(-0.995788\pi\)
0.129206 0.991618i \(-0.458757\pi\)
\(744\) 4.71154 + 32.7695i 0.172734 + 1.20139i
\(745\) −15.9778 4.69149i −0.585380 0.171883i
\(746\) 13.3811 15.4426i 0.489918 0.565395i
\(747\) −40.9637 26.3257i −1.49878 0.963209i
\(748\) −23.1227 14.8601i −0.845450 0.543338i
\(749\) 8.22685 9.49429i 0.300602 0.346914i
\(750\) −36.6864 10.7721i −1.33960 0.393341i
\(751\) 1.97529 + 13.7384i 0.0720793 + 0.501323i 0.993597 + 0.112985i \(0.0360414\pi\)
−0.921517 + 0.388337i \(0.873050\pi\)
\(752\) 4.43353 + 5.11657i 0.161674 + 0.186582i
\(753\) −20.9026 45.7703i −0.761733 1.66796i
\(754\) −15.2078 + 4.46543i −0.553837 + 0.162621i
\(755\) 4.24412 9.29333i 0.154459 0.338219i
\(756\) −2.02125 + 14.0581i −0.0735121 + 0.511288i
\(757\) −25.0231 + 16.0814i −0.909480 + 0.584488i −0.909587 0.415512i \(-0.863602\pi\)
0.000107102 1.00000i \(0.499966\pi\)
\(758\) 12.5531 0.455949
\(759\) −60.2015 + 9.75712i −2.18517 + 0.354161i
\(760\) 3.41272 0.123792
\(761\) −30.7633 + 19.7704i −1.11517 + 0.716676i −0.962414 0.271588i \(-0.912451\pi\)
−0.152756 + 0.988264i \(0.548815\pi\)
\(762\) 0.722909 5.02794i 0.0261882 0.182143i
\(763\) −7.44330 + 16.2985i −0.269465 + 0.590047i
\(764\) 8.11796 2.38365i 0.293698 0.0862374i
\(765\) 33.8643 + 74.1525i 1.22437 + 2.68099i
\(766\) −5.46054 6.30180i −0.197297 0.227693i
\(767\) 0.402438 + 2.79902i 0.0145312 + 0.101067i
\(768\) −3.09477 0.908706i −0.111673 0.0327901i
\(769\) 17.9197 20.6804i 0.646200 0.745755i −0.334258 0.942482i \(-0.608486\pi\)
0.980458 + 0.196727i \(0.0630311\pi\)
\(770\) 5.23867 + 3.36669i 0.188788 + 0.121327i
\(771\) 78.0540 + 50.1623i 2.81105 + 1.80655i
\(772\) −5.82061 + 6.71734i −0.209488 + 0.241762i
\(773\) 3.75932 + 1.10384i 0.135213 + 0.0397023i 0.348639 0.937257i \(-0.386644\pi\)
−0.213426 + 0.976959i \(0.568462\pi\)
\(774\) 1.83004 + 12.7282i 0.0657795 + 0.457506i
\(775\) 16.8399 + 19.4343i 0.604907 + 0.698100i
\(776\) 0.403114 + 0.882697i 0.0144710 + 0.0316870i
\(777\) 3.31142 0.972320i 0.118796 0.0348818i
\(778\) −10.0255 + 21.9528i −0.359431 + 0.787045i
\(779\) 3.15876 21.9696i 0.113174 0.787144i
\(780\) −11.1239 + 7.14888i −0.398299 + 0.255971i
\(781\) 16.7704 0.600091
\(782\) 9.99143 + 31.9062i 0.357293 + 1.14096i
\(783\) 86.7281 3.09941
\(784\) 0.841254 0.540641i 0.0300448 0.0193086i
\(785\) 0.0860318 0.598364i 0.00307061 0.0213565i
\(786\) −25.4111 + 55.6425i −0.906384 + 1.98470i
\(787\) 0.694264 0.203854i 0.0247478 0.00726662i −0.269335 0.963046i \(-0.586804\pi\)
0.294083 + 0.955780i \(0.404986\pi\)
\(788\) −3.08059 6.74555i −0.109741 0.240300i
\(789\) −23.2819 26.8688i −0.828858 0.956553i
\(790\) 1.89383 + 13.1719i 0.0673794 + 0.468634i
\(791\) 3.34799 + 0.983060i 0.119041 + 0.0349536i
\(792\) −19.1146 + 22.0594i −0.679206 + 0.783846i
\(793\) 19.2424 + 12.3664i 0.683319 + 0.439142i
\(794\) −11.0564 7.10553i −0.392378 0.252166i
\(795\) −13.3262 + 15.3792i −0.472630 + 0.545445i
\(796\) 8.69814 + 2.55400i 0.308297 + 0.0905242i
\(797\) 3.37974 + 23.5066i 0.119717 + 0.832647i 0.957868 + 0.287209i \(0.0927276\pi\)
−0.838151 + 0.545438i \(0.816363\pi\)
\(798\) −4.56383 5.26694i −0.161558 0.186448i
\(799\) −19.6069 42.9331i −0.693641 1.51886i
\(800\) −2.40384 + 0.705831i −0.0849886 + 0.0249549i
\(801\) 40.8288 89.4026i 1.44262 3.15889i
\(802\) −3.51022 + 24.4141i −0.123950 + 0.862093i
\(803\) −12.5857 + 8.08831i −0.444138 + 0.285430i
\(804\) −17.6753 −0.623361
\(805\) −2.26365 7.22865i −0.0797833 0.254777i
\(806\) 26.6417 0.938414
\(807\) 14.5915 9.37737i 0.513644 0.330099i
\(808\) −0.738889 + 5.13909i −0.0259940 + 0.180792i
\(809\) −0.326961 + 0.715945i −0.0114953 + 0.0251713i −0.915293 0.402790i \(-0.868041\pi\)
0.903797 + 0.427961i \(0.140768\pi\)
\(810\) 35.7645 10.5014i 1.25664 0.368982i
\(811\) 6.07235 + 13.2966i 0.213229 + 0.466907i 0.985779 0.168048i \(-0.0537462\pi\)
−0.772550 + 0.634954i \(0.781019\pi\)
\(812\) −3.99889 4.61496i −0.140333 0.161953i
\(813\) −0.556493 3.87049i −0.0195170 0.135744i
\(814\) 4.04776 + 1.18853i 0.141874 + 0.0416579i
\(815\) 3.78247 4.36521i 0.132494 0.152907i
\(816\) 18.9164 + 12.1568i 0.662207 + 0.425574i
\(817\) −3.15721 2.02901i −0.110457 0.0709862i
\(818\) 15.3455 17.7097i 0.536544 0.619205i
\(819\) 18.4377 + 5.41379i 0.644264 + 0.189173i
\(820\) −2.30903 16.0597i −0.0806349 0.560828i
\(821\) 23.3185 + 26.9110i 0.813822 + 0.939200i 0.999054 0.0434944i \(-0.0138491\pi\)
−0.185232 + 0.982695i \(0.559304\pi\)
\(822\) 16.2624 + 35.6097i 0.567216 + 1.24203i
\(823\) 21.0365 6.17687i 0.733286 0.215312i 0.106291 0.994335i \(-0.466103\pi\)
0.626995 + 0.779023i \(0.284284\pi\)
\(824\) −0.403299 + 0.883102i −0.0140496 + 0.0307643i
\(825\) −4.53406 + 31.5351i −0.157856 + 1.09791i
\(826\) −0.916516 + 0.589009i −0.0318897 + 0.0204943i
\(827\) 11.1908 0.389142 0.194571 0.980888i \(-0.437668\pi\)
0.194571 + 0.980888i \(0.437668\pi\)
\(828\) 35.0479 5.68037i 1.21800 0.197406i
\(829\) −27.8448 −0.967090 −0.483545 0.875319i \(-0.660651\pi\)
−0.483545 + 0.875319i \(0.660651\pi\)
\(830\) 8.73932 5.61642i 0.303346 0.194949i
\(831\) −5.59847 + 38.9382i −0.194209 + 1.35075i
\(832\) −1.07825 + 2.36103i −0.0373815 + 0.0818540i
\(833\) −6.68909 + 1.96409i −0.231763 + 0.0680518i
\(834\) −21.0011 45.9859i −0.727207 1.59236i
\(835\) −8.80641 10.1631i −0.304758 0.351710i
\(836\) −1.21236 8.43213i −0.0419303 0.291631i
\(837\) −139.874 41.0708i −4.83476 1.41961i
\(838\) 8.70155 10.0421i 0.300590 0.346900i
\(839\) 11.1934 + 7.19354i 0.386438 + 0.248349i 0.719406 0.694589i \(-0.244414\pi\)
−0.332969 + 0.942938i \(0.608050\pi\)
\(840\) −4.28569 2.75424i −0.147870 0.0950305i
\(841\) −5.42810 + 6.26436i −0.187176 + 0.216012i
\(842\) 6.75923 + 1.98469i 0.232939 + 0.0683969i
\(843\) −10.2363 71.1953i −0.352558 2.45210i
\(844\) −15.7494 18.1758i −0.542116 0.625635i
\(845\) −4.10928 8.99808i −0.141364 0.309543i
\(846\) −48.0918 + 14.1210i −1.65343 + 0.485491i
\(847\) 1.88781 4.13373i 0.0648659 0.142037i
\(848\) −0.568477 + 3.95384i −0.0195216 + 0.135776i
\(849\) −85.1151 + 54.7002i −2.92114 + 1.87731i
\(850\) 17.4658 0.599073
\(851\) −2.85106 4.26666i −0.0977331 0.146259i
\(852\) −13.7196 −0.470027
\(853\) 5.72461 3.67898i 0.196007 0.125966i −0.438956 0.898508i \(-0.644652\pi\)
0.634963 + 0.772543i \(0.281015\pi\)
\(854\) −1.25414 + 8.72276i −0.0429159 + 0.298487i
\(855\) −10.4957 + 22.9824i −0.358945 + 0.785980i
\(856\) −12.0539 + 3.53933i −0.411993 + 0.120972i
\(857\) 15.9375 + 34.8982i 0.544414 + 1.19210i 0.959342 + 0.282247i \(0.0910796\pi\)
−0.414928 + 0.909854i \(0.636193\pi\)
\(858\) 21.6151 + 24.9452i 0.737929 + 0.851616i
\(859\) −2.78160 19.3465i −0.0949071 0.660093i −0.980629 0.195876i \(-0.937245\pi\)
0.885721 0.464217i \(-0.153664\pi\)
\(860\) −2.63228 0.772906i −0.0897599 0.0263559i
\(861\) −21.6974 + 25.0402i −0.739446 + 0.853366i
\(862\) 34.5998 + 22.2359i 1.17847 + 0.757359i
\(863\) −35.9051 23.0748i −1.22222 0.785475i −0.239560 0.970881i \(-0.577003\pi\)
−0.982662 + 0.185407i \(0.940640\pi\)
\(864\) 9.30077 10.7337i 0.316418 0.365166i
\(865\) −23.6629 6.94807i −0.804564 0.236241i
\(866\) 0.247396 + 1.72068i 0.00840687 + 0.0584711i
\(867\) −66.7489 77.0323i −2.26691 2.61615i
\(868\) 4.26392 + 9.33667i 0.144727 + 0.316907i
\(869\) 31.8722 9.35852i 1.08119 0.317466i
\(870\) −12.9231 + 28.2976i −0.438133 + 0.959378i
\(871\) −2.02426 + 14.0791i −0.0685896 + 0.477051i
\(872\) 15.0734 9.68706i 0.510448 0.328045i
\(873\) −7.18413 −0.243146
\(874\) −5.44557 + 8.81611i −0.184199 + 0.298209i
\(875\) −11.8543 −0.400749
\(876\) 10.2962 6.61694i 0.347875 0.223566i
\(877\) 6.47484 45.0335i 0.218640 1.52067i −0.524426 0.851456i \(-0.675720\pi\)
0.743066 0.669218i \(-0.233371\pi\)
\(878\) −2.27205 + 4.97511i −0.0766781 + 0.167902i
\(879\) −48.6657 + 14.2895i −1.64145 + 0.481974i
\(880\) −2.58688 5.66447i −0.0872037 0.190949i
\(881\) −20.6868 23.8738i −0.696954 0.804328i 0.291383 0.956606i \(-0.405884\pi\)
−0.988338 + 0.152278i \(0.951339\pi\)
\(882\) 1.05361 + 7.32799i 0.0354768 + 0.246746i
\(883\) 29.5139 + 8.66607i 0.993223 + 0.291636i 0.737672 0.675159i \(-0.235925\pi\)
0.255551 + 0.966796i \(0.417743\pi\)
\(884\) 11.8498 13.6754i 0.398551 0.459952i
\(885\) 4.66911 + 3.00065i 0.156950 + 0.100866i
\(886\) 29.7629 + 19.1275i 0.999904 + 0.642599i
\(887\) −22.2260 + 25.6501i −0.746274 + 0.861247i −0.994202 0.107532i \(-0.965705\pi\)
0.247927 + 0.968779i \(0.420251\pi\)
\(888\) −3.31142 0.972320i −0.111124 0.0326289i
\(889\) −0.224128 1.55885i −0.00751703 0.0522821i
\(890\) 13.7313 + 15.8468i 0.460275 + 0.531186i
\(891\) −38.6521 84.6362i −1.29489 2.83542i
\(892\) 22.2352 6.52883i 0.744488 0.218601i
\(893\) 6.07683 13.3064i 0.203353 0.445282i
\(894\) 4.83954 33.6597i 0.161858 1.12575i
\(895\) 1.29658 0.833260i 0.0433398 0.0278528i
\(896\) −1.00000 −0.0334077
\(897\) −0.717750 40.1437i −0.0239650 1.34036i
\(898\) 21.0006 0.700800
\(899\) 52.7282 33.8864i 1.75859 1.13017i
\(900\) 2.63963 18.3590i 0.0879875 0.611967i
\(901\) 11.5683 25.3311i 0.385396 0.843900i
\(902\) −38.8599 + 11.4103i −1.29389 + 0.379921i
\(903\) 2.32729 + 5.09606i 0.0774475 + 0.169586i
\(904\) −2.28503 2.63706i −0.0759989 0.0877075i
\(905\) −5.45994 37.9747i −0.181495 1.26232i
\(906\) 20.0183 + 5.87790i 0.665063 + 0.195280i
\(907\) 16.1879 18.6818i 0.537509 0.620319i −0.420418 0.907331i \(-0.638116\pi\)
0.957927 + 0.287012i \(0.0926619\pi\)
\(908\) −14.0535 9.03163i −0.466381 0.299725i
\(909\) −32.3358 20.7810i −1.07251 0.689262i
\(910\) −2.68468 + 3.09828i −0.0889961 + 0.102707i
\(911\) 29.5820 + 8.68604i 0.980094 + 0.287781i 0.732263 0.681022i \(-0.238464\pi\)
0.247831 + 0.968803i \(0.420282\pi\)
\(912\) 0.991814 + 6.89822i 0.0328423 + 0.228423i
\(913\) −16.9816 19.5978i −0.562010 0.648594i
\(914\) −4.24276 9.29035i −0.140338 0.307298i
\(915\) 43.0757 12.6482i 1.42404 0.418136i
\(916\) 0.666309 1.45901i 0.0220155 0.0482072i
\(917\) −2.69901 + 18.7720i −0.0891292 + 0.619907i
\(918\) −83.2955 + 53.5308i −2.74916 + 1.76678i
\(919\) 32.9310 1.08629 0.543146 0.839638i \(-0.317233\pi\)
0.543146 + 0.839638i \(0.317233\pi\)
\(920\) −2.00380 + 7.30495i −0.0660633 + 0.240837i
\(921\) 59.5061 1.96079
\(922\) 30.4589 19.5748i 1.00311 0.644660i
\(923\) −1.57124 + 10.9282i −0.0517179 + 0.359706i
\(924\) −5.28270 + 11.5675i −0.173788 + 0.380543i
\(925\) −2.57212 + 0.755243i −0.0845708 + 0.0248322i
\(926\) 3.86450 + 8.46207i 0.126995 + 0.278081i
\(927\) −4.70676 5.43189i −0.154590 0.178407i
\(928\) 0.869041 + 6.04431i 0.0285277 + 0.198414i
\(929\) 16.4017 + 4.81597i 0.538122 + 0.158007i 0.539490 0.841992i \(-0.318617\pi\)
−0.00136770 + 0.999999i \(0.500435\pi\)
\(930\) 34.2428 39.5183i 1.12286 1.29586i
\(931\) −1.81769 1.16816i −0.0595725 0.0382849i
\(932\) −18.4218 11.8389i −0.603425 0.387798i
\(933\) 44.5376 51.3991i 1.45810 1.68273i
\(934\) −5.18890 1.52360i −0.169786 0.0498537i
\(935\) 6.17830 + 42.9710i 0.202052 + 1.40530i
\(936\) −12.5838 14.5225i −0.411316 0.474683i
\(937\) 9.59380 + 21.0075i 0.313416 + 0.686285i 0.999135 0.0415812i \(-0.0132395\pi\)
−0.685719 + 0.727866i \(0.740512\pi\)
\(938\) −5.25803 + 1.54390i −0.171681 + 0.0504100i
\(939\) 13.4757 29.5077i 0.439763 0.962946i
\(940\) 1.52180 10.5844i 0.0496357 0.345224i
\(941\) 42.0677 27.0353i 1.37137 0.881326i 0.372461 0.928048i \(-0.378514\pi\)
0.998908 + 0.0467220i \(0.0148775\pi\)
\(942\) 1.23449 0.0402219
\(943\) 45.1715 + 19.6610i 1.47099 + 0.640249i
\(944\) 1.08946 0.0354591
\(945\) 18.8714 12.1279i 0.613886 0.394521i
\(946\) −0.974585 + 6.77839i −0.0316865 + 0.220384i
\(947\) −0.0859614 + 0.188229i −0.00279337 + 0.00611662i −0.911024 0.412354i \(-0.864707\pi\)
0.908230 + 0.418471i \(0.137434\pi\)
\(948\) −26.0742 + 7.65609i −0.846852 + 0.248658i
\(949\) −4.09147 8.95908i −0.132815 0.290824i
\(950\) 3.54492 + 4.09106i 0.115012 + 0.132731i
\(951\) 11.3708 + 79.0858i 0.368724 + 2.56453i
\(952\) 6.68909 + 1.96409i 0.216795 + 0.0636566i
\(953\) −35.8350 + 41.3558i −1.16081 + 1.33965i −0.230413 + 0.973093i \(0.574008\pi\)
−0.930397 + 0.366553i \(0.880538\pi\)
\(954\) −24.8781 15.9882i −0.805459 0.517637i
\(955\) −11.2419 7.22472i −0.363779 0.233787i
\(956\) 5.62372 6.49012i 0.181884 0.209906i
\(957\) 74.5084 + 21.8776i 2.40851 + 0.707204i
\(958\) 0.0998371 + 0.694382i 0.00322559 + 0.0224345i
\(959\) 7.94813 + 9.17263i 0.256658 + 0.296200i
\(960\) 2.11629 + 4.63404i 0.0683031 + 0.149563i
\(961\) −71.3425 + 20.9481i −2.30137 + 0.675744i
\(962\) −1.15373 + 2.52631i −0.0371977 + 0.0814516i
\(963\) 13.2362 92.0597i 0.426530 2.96658i
\(964\) 16.6283 10.6864i 0.535563 0.344185i
\(965\) 14.0387 0.451921
\(966\) 13.9536 6.67639i 0.448950 0.214809i
\(967\) −28.6222 −0.920429 −0.460214 0.887808i \(-0.652227\pi\)
−0.460214 + 0.887808i \(0.652227\pi\)
\(968\) −3.82299 + 2.45688i −0.122875 + 0.0789673i
\(969\) 6.91441 48.0908i 0.222123 1.54490i
\(970\) 0.636700 1.39418i 0.0204432 0.0447644i
\(971\) 4.15710 1.22063i 0.133408 0.0391720i −0.214347 0.976758i \(-0.568762\pi\)
0.347755 + 0.937586i \(0.386944\pi\)
\(972\) 13.9208 + 30.4822i 0.446509 + 0.977717i
\(973\) −10.2641 11.8454i −0.329052 0.379747i
\(974\) −1.13980 7.92750i −0.0365216 0.254014i
\(975\) −20.1246 5.90913i −0.644504 0.189244i
\(976\) 5.77093 6.66001i 0.184723 0.213182i
\(977\) 1.05215 + 0.676179i 0.0336614 + 0.0216329i 0.557363 0.830269i \(-0.311813\pi\)
−0.523702 + 0.851902i \(0.675449\pi\)
\(978\) 9.92278 + 6.37699i 0.317296 + 0.203914i
\(979\) 34.2762 39.5568i 1.09547 1.26424i
\(980\) −1.51548 0.444984i −0.0484101 0.0142145i
\(981\) 18.8782 + 131.301i 0.602736 + 4.19212i
\(982\) −8.11709 9.36762i −0.259027 0.298933i
\(983\) 21.6466 + 47.3995i 0.690419 + 1.51181i 0.851213 + 0.524820i \(0.175867\pi\)
−0.160794 + 0.986988i \(0.551405\pi\)
\(984\) 31.7908 9.33461i 1.01345 0.297577i
\(985\) −4.86565 + 10.6543i −0.155032 + 0.339474i
\(986\) 6.05850 42.1378i 0.192942 1.34194i
\(987\) −18.3702 + 11.8058i −0.584731 + 0.375784i
\(988\) 5.60828 0.178423
\(989\) 6.19689 5.56668i 0.197050 0.177010i
\(990\) 46.1023 1.46523
\(991\) 9.38147 6.02910i 0.298012 0.191521i −0.383086 0.923713i \(-0.625139\pi\)
0.681099 + 0.732192i \(0.261502\pi\)
\(992\) 1.46075 10.1598i 0.0463789 0.322573i
\(993\) 27.4413 60.0881i 0.870824 1.90684i
\(994\) −4.08129 + 1.19838i −0.129451 + 0.0380102i
\(995\) −5.94804 13.0244i −0.188565 0.412901i
\(996\) 13.8925 + 16.0328i 0.440199 + 0.508017i
\(997\) −1.89653 13.1906i −0.0600636 0.417751i −0.997563 0.0697657i \(-0.977775\pi\)
0.937500 0.347986i \(-0.113134\pi\)
\(998\) −36.7696 10.7965i −1.16392 0.341758i
\(999\) 9.95186 11.4851i 0.314863 0.363371i
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 322.2.i.e.127.1 yes 40
23.2 even 11 inner 322.2.i.e.71.1 40
23.5 odd 22 7406.2.a.bs.1.19 20
23.18 even 11 7406.2.a.bt.1.19 20
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.i.e.71.1 40 23.2 even 11 inner
322.2.i.e.127.1 yes 40 1.1 even 1 trivial
7406.2.a.bs.1.19 20 23.5 odd 22
7406.2.a.bt.1.19 20 23.18 even 11