Properties

Label 345.2.m.a.16.3
Level $345$
Weight $2$
Character 345.16
Analytic conductor $2.755$
Analytic rank $0$
Dimension $30$
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] = [345,2,Mod(16,345)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(345, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("345.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 345 = 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 345.m (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: \(2.75483886973\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 16.3
Character \(\chi\) \(=\) 345.16
Dual form 345.2.m.a.151.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.996473 - 1.14999i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.0448918 - 0.312230i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(-0.216554 + 1.50617i) q^{6} +(2.33660 - 0.686088i) q^{7} +(2.15640 + 1.38584i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(0.996473 - 1.14999i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.0448918 - 0.312230i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(-0.216554 + 1.50617i) q^{6} +(2.33660 - 0.686088i) q^{7} +(2.15640 + 1.38584i) q^{8} +(0.415415 - 0.909632i) q^{9} +(-1.46002 - 0.428700i) q^{10} +(-0.103138 - 0.119028i) q^{11} +(0.206570 + 0.238394i) q^{12} +(3.49167 + 1.02525i) q^{13} +(1.53937 - 3.37074i) q^{14} +(0.841254 + 0.540641i) q^{15} +(4.34783 - 1.27664i) q^{16} +(0.383225 - 2.66539i) q^{17} +(-0.632119 - 1.38415i) q^{18} +(-0.505144 - 3.51336i) q^{19} +(-0.265365 + 0.170540i) q^{20} +(-1.59475 + 1.84044i) q^{21} -0.239655 q^{22} +(-4.67624 + 1.06432i) q^{23} -2.56332 q^{24} +(-0.654861 + 0.755750i) q^{25} +(4.65838 - 2.99376i) q^{26} +(0.142315 + 0.989821i) q^{27} +(-0.319111 - 0.698756i) q^{28} +(0.390343 - 2.71489i) q^{29} +(1.46002 - 0.428700i) q^{30} +(7.10391 + 4.56540i) q^{31} +(0.734686 - 1.60874i) q^{32} +(0.151117 + 0.0443718i) q^{33} +(-2.68330 - 3.09670i) q^{34} +(-1.59475 - 1.84044i) q^{35} +(-0.302663 - 0.0888698i) q^{36} +(-1.34983 + 2.95571i) q^{37} +(-4.54369 - 2.92005i) q^{38} +(-3.49167 + 1.02525i) q^{39} +(0.364799 - 2.53723i) q^{40} +(1.58078 + 3.46143i) q^{41} +(0.527363 + 3.66789i) q^{42} +(-3.95474 + 2.54156i) q^{43} +(-0.0325339 + 0.0375462i) q^{44} -1.00000 q^{45} +(-3.43579 + 6.43821i) q^{46} -12.7257 q^{47} +(-2.96742 + 3.42459i) q^{48} +(-0.899789 + 0.578259i) q^{49} +(0.216554 + 1.50617i) q^{50} +(1.11863 + 2.44946i) q^{51} +(0.163365 - 1.13623i) q^{52} +(-7.09172 + 2.08232i) q^{53} +(1.28010 + 0.822670i) q^{54} +(-0.0654263 + 0.143264i) q^{55} +(5.98946 + 1.75866i) q^{56} +(2.32442 + 2.68252i) q^{57} +(-2.73314 - 3.15421i) q^{58} +(-0.00668115 - 0.00196176i) q^{59} +(0.131039 - 0.286935i) q^{60} +(-4.24856 - 2.73038i) q^{61} +(12.3290 - 3.62013i) q^{62} +(0.346572 - 2.41046i) q^{63} +(2.64686 + 5.79583i) q^{64} +(-0.517895 - 3.60204i) q^{65} +(0.201611 - 0.129567i) q^{66} +(-5.27776 + 6.09086i) q^{67} -0.849417 q^{68} +(3.35849 - 3.42353i) q^{69} -3.70561 q^{70} +(-0.115126 + 0.132862i) q^{71} +(2.15640 - 1.38584i) q^{72} +(-0.529955 - 3.68592i) q^{73} +(2.05398 + 4.49758i) q^{74} +(0.142315 - 0.989821i) q^{75} +(-1.07430 + 0.315442i) q^{76} +(-0.322656 - 0.207358i) q^{77} +(-2.30033 + 5.03702i) q^{78} +(-8.25044 - 2.42255i) q^{79} +(-2.96742 - 3.42459i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(5.55582 + 1.63134i) q^{82} +(2.96614 - 6.49495i) q^{83} +(0.646230 + 0.415307i) q^{84} +(-2.58372 + 0.758649i) q^{85} +(-1.01802 + 7.08051i) q^{86} +(1.13941 + 2.49495i) q^{87} +(-0.0574544 - 0.399604i) q^{88} +(14.0852 - 9.05201i) q^{89} +(-0.996473 + 1.14999i) q^{90} +8.86204 q^{91} +(0.542238 + 1.41228i) q^{92} -8.44443 q^{93} +(-12.6808 + 14.6344i) q^{94} +(-2.98602 + 1.91900i) q^{95} +(0.251692 + 1.75056i) q^{96} +(5.84431 + 12.7972i) q^{97} +(-0.231623 + 1.61097i) q^{98} +(-0.151117 + 0.0443718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + 3 q^{3} + 2 q^{4} + 3 q^{5} + 11 q^{6} + q^{7} + 22 q^{8} - 3 q^{9} - 7 q^{11} - 2 q^{12} + 7 q^{13} - 47 q^{14} - 3 q^{15} + 26 q^{16} + 15 q^{17} - 7 q^{19} - 2 q^{20} - 12 q^{21} - 18 q^{22} + 12 q^{23} - 3 q^{25} - 18 q^{26} + 3 q^{27} + 2 q^{28} - 6 q^{29} + 22 q^{31} + 33 q^{32} - 4 q^{33} - 53 q^{34} - 12 q^{35} - 9 q^{36} - 23 q^{37} + 21 q^{38} - 7 q^{39} + 11 q^{40} + 26 q^{41} + 3 q^{42} - 19 q^{43} - 47 q^{44} - 30 q^{45} - 44 q^{46} + 14 q^{47} + 7 q^{48} + 2 q^{49} - 11 q^{50} - 15 q^{51} + 55 q^{52} - 14 q^{53} - 11 q^{54} - 4 q^{55} + 6 q^{56} - 26 q^{57} - 18 q^{58} + 40 q^{59} - 9 q^{60} + 37 q^{61} + 19 q^{62} - 10 q^{63} + 14 q^{64} + 4 q^{65} - 4 q^{66} - 108 q^{67} + 54 q^{68} + 21 q^{69} - 30 q^{70} + 39 q^{71} + 22 q^{72} + 57 q^{73} - 11 q^{74} + 3 q^{75} + 22 q^{76} + 2 q^{77} + 7 q^{78} + 55 q^{79} + 7 q^{80} - 3 q^{81} - 26 q^{82} - 79 q^{83} - 2 q^{84} + 18 q^{85} - 44 q^{86} - 5 q^{87} - 8 q^{88} - 30 q^{89} + 40 q^{91} + 35 q^{92} + 44 q^{93} - 29 q^{94} + 7 q^{95} + 22 q^{96} - 52 q^{97} + 28 q^{98} + 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/345\mathbb{Z}\right)^\times\).

\(n\) \(116\) \(166\) \(277\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{11}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.996473 1.14999i 0.704613 0.813167i −0.284755 0.958600i \(-0.591912\pi\)
0.989368 + 0.145433i \(0.0464577\pi\)
\(3\) −0.841254 + 0.540641i −0.485698 + 0.312139i
\(4\) −0.0448918 0.312230i −0.0224459 0.156115i
\(5\) −0.415415 0.909632i −0.185779 0.406800i
\(6\) −0.216554 + 1.50617i −0.0884080 + 0.614891i
\(7\) 2.33660 0.686088i 0.883152 0.259317i 0.191452 0.981502i \(-0.438680\pi\)
0.691700 + 0.722185i \(0.256862\pi\)
\(8\) 2.15640 + 1.38584i 0.762404 + 0.489967i
\(9\) 0.415415 0.909632i 0.138472 0.303211i
\(10\) −1.46002 0.428700i −0.461699 0.135567i
\(11\) −0.103138 0.119028i −0.0310973 0.0358882i 0.739988 0.672620i \(-0.234831\pi\)
−0.771085 + 0.636732i \(0.780286\pi\)
\(12\) 0.206570 + 0.238394i 0.0596315 + 0.0688184i
\(13\) 3.49167 + 1.02525i 0.968414 + 0.284352i 0.727434 0.686178i \(-0.240713\pi\)
0.240981 + 0.970530i \(0.422531\pi\)
\(14\) 1.53937 3.37074i 0.411413 0.900868i
\(15\) 0.841254 + 0.540641i 0.217211 + 0.139593i
\(16\) 4.34783 1.27664i 1.08696 0.319159i
\(17\) 0.383225 2.66539i 0.0929458 0.646452i −0.889087 0.457739i \(-0.848659\pi\)
0.982032 0.188713i \(-0.0604315\pi\)
\(18\) −0.632119 1.38415i −0.148992 0.326247i
\(19\) −0.505144 3.51336i −0.115888 0.806019i −0.962007 0.273025i \(-0.911976\pi\)
0.846119 0.532994i \(-0.178933\pi\)
\(20\) −0.265365 + 0.170540i −0.0593375 + 0.0381339i
\(21\) −1.59475 + 1.84044i −0.348002 + 0.401616i
\(22\) −0.239655 −0.0510947
\(23\) −4.67624 + 1.06432i −0.975063 + 0.221927i
\(24\) −2.56332 −0.523236
\(25\) −0.654861 + 0.755750i −0.130972 + 0.151150i
\(26\) 4.65838 2.99376i 0.913583 0.587124i
\(27\) 0.142315 + 0.989821i 0.0273885 + 0.190491i
\(28\) −0.319111 0.698756i −0.0603064 0.132053i
\(29\) 0.390343 2.71489i 0.0724849 0.504143i −0.920944 0.389694i \(-0.872581\pi\)
0.993429 0.114449i \(-0.0365102\pi\)
\(30\) 1.46002 0.428700i 0.266562 0.0782696i
\(31\) 7.10391 + 4.56540i 1.27590 + 0.819971i 0.990376 0.138401i \(-0.0441964\pi\)
0.285523 + 0.958372i \(0.407833\pi\)
\(32\) 0.734686 1.60874i 0.129875 0.284387i
\(33\) 0.151117 + 0.0443718i 0.0263060 + 0.00772414i
\(34\) −2.68330 3.09670i −0.460183 0.531079i
\(35\) −1.59475 1.84044i −0.269561 0.311090i
\(36\) −0.302663 0.0888698i −0.0504438 0.0148116i
\(37\) −1.34983 + 2.95571i −0.221910 + 0.485916i −0.987540 0.157365i \(-0.949700\pi\)
0.765630 + 0.643281i \(0.222427\pi\)
\(38\) −4.54369 2.92005i −0.737084 0.473695i
\(39\) −3.49167 + 1.02525i −0.559114 + 0.164171i
\(40\) 0.364799 2.53723i 0.0576798 0.401171i
\(41\) 1.58078 + 3.46143i 0.246877 + 0.540584i 0.991984 0.126360i \(-0.0403293\pi\)
−0.745108 + 0.666944i \(0.767602\pi\)
\(42\) 0.527363 + 3.66789i 0.0813739 + 0.565968i
\(43\) −3.95474 + 2.54156i −0.603092 + 0.387584i −0.806261 0.591560i \(-0.798512\pi\)
0.203169 + 0.979144i \(0.434876\pi\)
\(44\) −0.0325339 + 0.0375462i −0.00490467 + 0.00566030i
\(45\) −1.00000 −0.149071
\(46\) −3.43579 + 6.43821i −0.506579 + 0.949262i
\(47\) −12.7257 −1.85623 −0.928116 0.372292i \(-0.878572\pi\)
−0.928116 + 0.372292i \(0.878572\pi\)
\(48\) −2.96742 + 3.42459i −0.428310 + 0.494297i
\(49\) −0.899789 + 0.578259i −0.128541 + 0.0826085i
\(50\) 0.216554 + 1.50617i 0.0306254 + 0.213004i
\(51\) 1.11863 + 2.44946i 0.156639 + 0.342992i
\(52\) 0.163365 1.13623i 0.0226546 0.157566i
\(53\) −7.09172 + 2.08232i −0.974122 + 0.286028i −0.729796 0.683665i \(-0.760385\pi\)
−0.244326 + 0.969693i \(0.578567\pi\)
\(54\) 1.28010 + 0.822670i 0.174199 + 0.111951i
\(55\) −0.0654263 + 0.143264i −0.00882208 + 0.0193177i
\(56\) 5.98946 + 1.75866i 0.800375 + 0.235011i
\(57\) 2.32442 + 2.68252i 0.307877 + 0.355309i
\(58\) −2.73314 3.15421i −0.358879 0.414168i
\(59\) −0.00668115 0.00196176i −0.000869811 0.000255400i 0.281298 0.959621i \(-0.409235\pi\)
−0.282167 + 0.959365i \(0.591053\pi\)
\(60\) 0.131039 0.286935i 0.0169170 0.0370431i
\(61\) −4.24856 2.73038i −0.543972 0.349589i 0.239619 0.970867i \(-0.422978\pi\)
−0.783591 + 0.621278i \(0.786614\pi\)
\(62\) 12.3290 3.62013i 1.56579 0.459757i
\(63\) 0.346572 2.41046i 0.0436639 0.303689i
\(64\) 2.64686 + 5.79583i 0.330858 + 0.724478i
\(65\) −0.517895 3.60204i −0.0642369 0.446778i
\(66\) 0.201611 0.129567i 0.0248166 0.0159487i
\(67\) −5.27776 + 6.09086i −0.644781 + 0.744117i −0.980213 0.197948i \(-0.936572\pi\)
0.335432 + 0.942065i \(0.391118\pi\)
\(68\) −0.849417 −0.103007
\(69\) 3.35849 3.42353i 0.404314 0.412145i
\(70\) −3.70561 −0.442905
\(71\) −0.115126 + 0.132862i −0.0136629 + 0.0157678i −0.762540 0.646941i \(-0.776048\pi\)
0.748877 + 0.662709i \(0.230593\pi\)
\(72\) 2.15640 1.38584i 0.254135 0.163322i
\(73\) −0.529955 3.68592i −0.0620266 0.431404i −0.997046 0.0768077i \(-0.975527\pi\)
0.935019 0.354597i \(-0.115382\pi\)
\(74\) 2.05398 + 4.49758i 0.238770 + 0.522833i
\(75\) 0.142315 0.989821i 0.0164331 0.114295i
\(76\) −1.07430 + 0.315442i −0.123230 + 0.0361837i
\(77\) −0.322656 0.207358i −0.0367701 0.0236307i
\(78\) −2.30033 + 5.03702i −0.260461 + 0.570330i
\(79\) −8.25044 2.42255i −0.928247 0.272558i −0.217544 0.976050i \(-0.569805\pi\)
−0.710703 + 0.703493i \(0.751623\pi\)
\(80\) −2.96742 3.42459i −0.331768 0.382880i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) 5.55582 + 1.63134i 0.613538 + 0.180151i
\(83\) 2.96614 6.49495i 0.325577 0.712913i −0.674092 0.738647i \(-0.735465\pi\)
0.999669 + 0.0257338i \(0.00819223\pi\)
\(84\) 0.646230 + 0.415307i 0.0705094 + 0.0453137i
\(85\) −2.58372 + 0.758649i −0.280244 + 0.0822870i
\(86\) −1.01802 + 7.08051i −0.109776 + 0.763511i
\(87\) 1.13941 + 2.49495i 0.122157 + 0.267487i
\(88\) −0.0574544 0.399604i −0.00612466 0.0425980i
\(89\) 14.0852 9.05201i 1.49303 0.959512i 0.497262 0.867600i \(-0.334339\pi\)
0.995767 0.0919111i \(-0.0292976\pi\)
\(90\) −0.996473 + 1.14999i −0.105038 + 0.121220i
\(91\) 8.86204 0.928994
\(92\) 0.542238 + 1.41228i 0.0565322 + 0.147240i
\(93\) −8.44443 −0.875646
\(94\) −12.6808 + 14.6344i −1.30792 + 1.50943i
\(95\) −2.98602 + 1.91900i −0.306359 + 0.196885i
\(96\) 0.251692 + 1.75056i 0.0256882 + 0.178666i
\(97\) 5.84431 + 12.7972i 0.593399 + 1.29936i 0.933366 + 0.358926i \(0.116857\pi\)
−0.339967 + 0.940437i \(0.610416\pi\)
\(98\) −0.231623 + 1.61097i −0.0233974 + 0.162733i
\(99\) −0.151117 + 0.0443718i −0.0151878 + 0.00445954i
\(100\) 0.265365 + 0.170540i 0.0265365 + 0.0170540i
\(101\) 1.95257 4.27554i 0.194288 0.425432i −0.787266 0.616613i \(-0.788504\pi\)
0.981555 + 0.191181i \(0.0612317\pi\)
\(102\) 3.93154 + 1.15440i 0.389280 + 0.114303i
\(103\) 3.18716 + 3.67818i 0.314040 + 0.362422i 0.890723 0.454546i \(-0.150199\pi\)
−0.576683 + 0.816968i \(0.695653\pi\)
\(104\) 6.10862 + 7.04973i 0.599000 + 0.691283i
\(105\) 2.33660 + 0.686088i 0.228029 + 0.0669553i
\(106\) −4.67206 + 10.2304i −0.453791 + 0.993663i
\(107\) −12.4593 8.00713i −1.20449 0.774079i −0.224762 0.974414i \(-0.572161\pi\)
−0.979727 + 0.200335i \(0.935797\pi\)
\(108\) 0.302663 0.0888698i 0.0291237 0.00855150i
\(109\) 0.709337 4.93355i 0.0679422 0.472548i −0.927237 0.374475i \(-0.877823\pi\)
0.995179 0.0980734i \(-0.0312680\pi\)
\(110\) 0.0995564 + 0.217998i 0.00949233 + 0.0207853i
\(111\) −0.462430 3.21627i −0.0438920 0.305275i
\(112\) 9.28325 5.96598i 0.877184 0.563732i
\(113\) −0.0192078 + 0.0221670i −0.00180692 + 0.00208530i −0.756652 0.653817i \(-0.773166\pi\)
0.754845 + 0.655903i \(0.227712\pi\)
\(114\) 5.40110 0.505859
\(115\) 2.91072 + 3.81152i 0.271426 + 0.355426i
\(116\) −0.865194 −0.0803312
\(117\) 2.38309 2.75023i 0.220317 0.254259i
\(118\) −0.00891360 + 0.00572842i −0.000820563 + 0.000527344i
\(119\) −0.933247 6.49088i −0.0855506 0.595018i
\(120\) 1.06484 + 2.33168i 0.0972064 + 0.212852i
\(121\) 1.56193 10.8635i 0.141994 0.987589i
\(122\) −7.37349 + 2.16505i −0.667564 + 0.196015i
\(123\) −3.20123 2.05730i −0.288645 0.185501i
\(124\) 1.10655 2.42300i 0.0993708 0.217592i
\(125\) 0.959493 + 0.281733i 0.0858197 + 0.0251989i
\(126\) −2.42666 2.80051i −0.216184 0.249489i
\(127\) 9.09037 + 10.4908i 0.806640 + 0.930912i 0.998726 0.0504662i \(-0.0160707\pi\)
−0.192086 + 0.981378i \(0.561525\pi\)
\(128\) 12.6965 + 3.72804i 1.12222 + 0.329515i
\(129\) 1.95287 4.27619i 0.171941 0.376497i
\(130\) −4.65838 2.99376i −0.408567 0.262570i
\(131\) 5.67287 1.66571i 0.495641 0.145533i −0.0243525 0.999703i \(-0.507752\pi\)
0.519994 + 0.854170i \(0.325934\pi\)
\(132\) 0.00707030 0.0491750i 0.000615390 0.00428013i
\(133\) −3.59079 7.86273i −0.311361 0.681786i
\(134\) 1.74529 + 12.1388i 0.150770 + 1.04863i
\(135\) 0.841254 0.540641i 0.0724036 0.0465310i
\(136\) 4.52018 5.21657i 0.387602 0.447317i
\(137\) −0.000207022 0 −1.76871e−5 0 −8.84354e−6 1.00000i \(-0.500003\pi\)
−8.84354e−6 1.00000i \(0.500003\pi\)
\(138\) −0.590389 7.27369i −0.0502572 0.619178i
\(139\) −21.1954 −1.79777 −0.898886 0.438182i \(-0.855622\pi\)
−0.898886 + 0.438182i \(0.855622\pi\)
\(140\) −0.503047 + 0.580548i −0.0425153 + 0.0490652i
\(141\) 10.7055 6.88002i 0.901568 0.579402i
\(142\) 0.0380706 + 0.264787i 0.00319482 + 0.0222204i
\(143\) −0.238091 0.521347i −0.0199102 0.0435973i
\(144\) 0.644882 4.48526i 0.0537402 0.373771i
\(145\) −2.63171 + 0.772740i −0.218552 + 0.0641725i
\(146\) −4.76686 3.06348i −0.394509 0.253535i
\(147\) 0.444320 0.972926i 0.0366469 0.0802455i
\(148\) 0.983457 + 0.288769i 0.0808397 + 0.0237367i
\(149\) 5.34035 + 6.16309i 0.437499 + 0.504900i 0.931088 0.364795i \(-0.118861\pi\)
−0.493589 + 0.869695i \(0.664315\pi\)
\(150\) −0.996473 1.14999i −0.0813617 0.0938964i
\(151\) 0.282936 + 0.0830777i 0.0230250 + 0.00676076i 0.293225 0.956044i \(-0.405272\pi\)
−0.270200 + 0.962804i \(0.587090\pi\)
\(152\) 3.77964 8.27626i 0.306569 0.671293i
\(153\) −2.26533 1.45584i −0.183141 0.117697i
\(154\) −0.559979 + 0.164425i −0.0451244 + 0.0132497i
\(155\) 1.20177 8.35848i 0.0965283 0.671369i
\(156\) 0.476860 + 1.04418i 0.0381793 + 0.0836011i
\(157\) −2.60395 18.1109i −0.207818 1.44541i −0.780257 0.625460i \(-0.784912\pi\)
0.572438 0.819948i \(-0.305998\pi\)
\(158\) −11.0073 + 7.07393i −0.875690 + 0.562772i
\(159\) 4.84015 5.58583i 0.383849 0.442985i
\(160\) −1.76856 −0.139817
\(161\) −10.1963 + 5.69521i −0.803580 + 0.448845i
\(162\) −1.52166 −0.119553
\(163\) −12.0608 + 13.9189i −0.944675 + 1.09021i 0.0511278 + 0.998692i \(0.483718\pi\)
−0.995803 + 0.0915213i \(0.970827\pi\)
\(164\) 1.00980 0.648957i 0.0788518 0.0506750i
\(165\) −0.0224141 0.155893i −0.00174493 0.0121363i
\(166\) −4.51345 9.88309i −0.350312 0.767076i
\(167\) −2.80097 + 19.4812i −0.216746 + 1.50750i 0.533194 + 0.845993i \(0.320992\pi\)
−0.749939 + 0.661507i \(0.769917\pi\)
\(168\) −5.98946 + 1.75866i −0.462097 + 0.135684i
\(169\) 0.204320 + 0.131308i 0.0157169 + 0.0101006i
\(170\) −1.70217 + 3.72723i −0.130550 + 0.285866i
\(171\) −3.40570 1.00001i −0.260441 0.0764723i
\(172\) 0.971085 + 1.12069i 0.0740445 + 0.0854519i
\(173\) −12.9533 14.9489i −0.984819 1.13654i −0.990632 0.136559i \(-0.956396\pi\)
0.00581266 0.999983i \(-0.498150\pi\)
\(174\) 4.00456 + 1.17584i 0.303585 + 0.0891405i
\(175\) −1.01164 + 2.21518i −0.0764726 + 0.167452i
\(176\) −0.600382 0.385842i −0.0452555 0.0290839i
\(177\) 0.00668115 0.00196176i 0.000502186 0.000147455i
\(178\) 3.62580 25.2180i 0.271765 1.89017i
\(179\) 10.6834 + 23.3933i 0.798511 + 1.74850i 0.650495 + 0.759511i \(0.274562\pi\)
0.148016 + 0.988985i \(0.452711\pi\)
\(180\) 0.0448918 + 0.312230i 0.00334604 + 0.0232722i
\(181\) 18.9274 12.1639i 1.40686 0.904135i 0.406905 0.913470i \(-0.366608\pi\)
0.999956 + 0.00933508i \(0.00297149\pi\)
\(182\) 8.83079 10.1913i 0.654582 0.755428i
\(183\) 5.05027 0.373327
\(184\) −11.5588 4.18540i −0.852129 0.308551i
\(185\) 3.24935 0.238897
\(186\) −8.41465 + 9.71102i −0.616992 + 0.712047i
\(187\) −0.356780 + 0.229289i −0.0260904 + 0.0167673i
\(188\) 0.571279 + 3.97333i 0.0416648 + 0.289785i
\(189\) 1.01164 + 2.21518i 0.0735858 + 0.161130i
\(190\) −0.768656 + 5.34612i −0.0557642 + 0.387848i
\(191\) −13.4565 + 3.95119i −0.973679 + 0.285898i −0.729613 0.683861i \(-0.760300\pi\)
−0.244066 + 0.969759i \(0.578481\pi\)
\(192\) −5.36014 3.44476i −0.386835 0.248604i
\(193\) 2.19353 4.80315i 0.157894 0.345739i −0.814108 0.580714i \(-0.802774\pi\)
0.972001 + 0.234975i \(0.0755009\pi\)
\(194\) 20.5404 + 6.03121i 1.47472 + 0.433016i
\(195\) 2.38309 + 2.75023i 0.170656 + 0.196948i
\(196\) 0.220943 + 0.254982i 0.0157816 + 0.0182130i
\(197\) −12.4272 3.64895i −0.885400 0.259977i −0.192748 0.981248i \(-0.561740\pi\)
−0.692653 + 0.721271i \(0.743558\pi\)
\(198\) −0.0995564 + 0.217998i −0.00707517 + 0.0154925i
\(199\) 0.784100 + 0.503910i 0.0555833 + 0.0357212i 0.568137 0.822934i \(-0.307664\pi\)
−0.512554 + 0.858655i \(0.671301\pi\)
\(200\) −2.45949 + 0.722171i −0.173912 + 0.0510652i
\(201\) 1.14697 7.97733i 0.0809008 0.562677i
\(202\) −2.97115 6.50591i −0.209049 0.457754i
\(203\) −0.950581 6.61143i −0.0667177 0.464032i
\(204\) 0.714575 0.459230i 0.0500303 0.0321525i
\(205\) 2.49195 2.87586i 0.174045 0.200859i
\(206\) 7.40580 0.515986
\(207\) −0.974439 + 4.69579i −0.0677282 + 0.326380i
\(208\) 16.4900 1.14338
\(209\) −0.366087 + 0.422487i −0.0253228 + 0.0292240i
\(210\) 3.11736 2.00340i 0.215118 0.138248i
\(211\) −1.09032 7.58337i −0.0750610 0.522061i −0.992313 0.123753i \(-0.960507\pi\)
0.917252 0.398307i \(-0.130402\pi\)
\(212\) 0.968521 + 2.12076i 0.0665183 + 0.145655i
\(213\) 0.0250192 0.174012i 0.00171429 0.0119231i
\(214\) −21.6235 + 6.34924i −1.47815 + 0.434025i
\(215\) 3.95474 + 2.54156i 0.269711 + 0.173333i
\(216\) −1.06484 + 2.33168i −0.0724534 + 0.158651i
\(217\) 19.7313 + 5.79362i 1.33944 + 0.393297i
\(218\) −4.96671 5.73188i −0.336388 0.388212i
\(219\) 2.43859 + 2.81428i 0.164784 + 0.190171i
\(220\) 0.0476683 + 0.0139967i 0.00321379 + 0.000943655i
\(221\) 4.07078 8.91376i 0.273830 0.599604i
\(222\) −4.15949 2.67314i −0.279167 0.179409i
\(223\) 24.0413 7.05917i 1.60993 0.472717i 0.651640 0.758529i \(-0.274081\pi\)
0.958286 + 0.285812i \(0.0922633\pi\)
\(224\) 0.612932 4.26304i 0.0409533 0.284836i
\(225\) 0.415415 + 0.909632i 0.0276943 + 0.0606421i
\(226\) 0.00635179 + 0.0441776i 0.000422515 + 0.00293865i
\(227\) −12.5684 + 8.07719i −0.834191 + 0.536102i −0.886607 0.462523i \(-0.846944\pi\)
0.0524161 + 0.998625i \(0.483308\pi\)
\(228\) 0.733215 0.846175i 0.0485584 0.0560393i
\(229\) 15.4474 1.02079 0.510397 0.859939i \(-0.329498\pi\)
0.510397 + 0.859939i \(0.329498\pi\)
\(230\) 7.28368 + 0.450775i 0.480271 + 0.0297232i
\(231\) 0.383542 0.0252352
\(232\) 4.60414 5.31346i 0.302276 0.348846i
\(233\) 9.60483 6.17265i 0.629233 0.404384i −0.186792 0.982399i \(-0.559809\pi\)
0.816026 + 0.578016i \(0.196173\pi\)
\(234\) −0.788058 5.48106i −0.0515170 0.358308i
\(235\) 5.28644 + 11.5757i 0.344849 + 0.755114i
\(236\) −0.000312591 0.00217412i −2.03480e−5 0.000141523i
\(237\) 8.25044 2.42255i 0.535924 0.157361i
\(238\) −8.39441 5.39476i −0.544129 0.349690i
\(239\) −2.69071 + 5.89183i −0.174048 + 0.381111i −0.976472 0.215642i \(-0.930816\pi\)
0.802425 + 0.596753i \(0.203543\pi\)
\(240\) 4.34783 + 1.27664i 0.280651 + 0.0824065i
\(241\) 5.77643 + 6.66636i 0.372093 + 0.429418i 0.910655 0.413168i \(-0.135578\pi\)
−0.538562 + 0.842586i \(0.681032\pi\)
\(242\) −10.9365 12.6214i −0.703024 0.811333i
\(243\) 0.959493 + 0.281733i 0.0615515 + 0.0180732i
\(244\) −0.661780 + 1.44910i −0.0423661 + 0.0927689i
\(245\) 0.899789 + 0.578259i 0.0574854 + 0.0369436i
\(246\) −5.55582 + 1.63134i −0.354226 + 0.104010i
\(247\) 1.83826 12.7854i 0.116966 0.813513i
\(248\) 8.99199 + 19.6897i 0.570992 + 1.25030i
\(249\) 1.01616 + 7.06752i 0.0643963 + 0.447886i
\(250\) 1.28010 0.822670i 0.0809606 0.0520302i
\(251\) −4.54187 + 5.24159i −0.286680 + 0.330846i −0.880763 0.473557i \(-0.842970\pi\)
0.594083 + 0.804404i \(0.297515\pi\)
\(252\) −0.768175 −0.0483904
\(253\) 0.608982 + 0.446830i 0.0382864 + 0.0280920i
\(254\) 21.1227 1.32536
\(255\) 1.76341 2.03508i 0.110429 0.127442i
\(256\) 6.21867 3.99650i 0.388667 0.249781i
\(257\) 3.22549 + 22.4337i 0.201200 + 1.39938i 0.800730 + 0.599026i \(0.204445\pi\)
−0.599529 + 0.800353i \(0.704646\pi\)
\(258\) −2.97160 6.50689i −0.185004 0.405101i
\(259\) −1.12613 + 7.83242i −0.0699744 + 0.486683i
\(260\) −1.10141 + 0.323404i −0.0683067 + 0.0200567i
\(261\) −2.30740 1.48288i −0.142825 0.0917877i
\(262\) 3.73732 8.18359i 0.230892 0.505584i
\(263\) 9.47605 + 2.78242i 0.584318 + 0.171571i 0.560513 0.828145i \(-0.310604\pi\)
0.0238047 + 0.999717i \(0.492422\pi\)
\(264\) 0.264376 + 0.305106i 0.0162712 + 0.0187780i
\(265\) 4.84015 + 5.58583i 0.297328 + 0.343135i
\(266\) −12.6202 3.70563i −0.773795 0.227207i
\(267\) −6.95534 + 15.2301i −0.425660 + 0.932066i
\(268\) 2.13868 + 1.37444i 0.130640 + 0.0839575i
\(269\) −6.80693 + 1.99870i −0.415026 + 0.121863i −0.482578 0.875853i \(-0.660299\pi\)
0.0675517 + 0.997716i \(0.478481\pi\)
\(270\) 0.216554 1.50617i 0.0131791 0.0916625i
\(271\) 5.90629 + 12.9330i 0.358781 + 0.785621i 0.999836 + 0.0181260i \(0.00577001\pi\)
−0.641054 + 0.767495i \(0.721503\pi\)
\(272\) −1.73654 12.0779i −0.105293 0.732330i
\(273\) −7.45522 + 4.79118i −0.451211 + 0.289976i
\(274\) −0.000206292 0 0.000238074i −1.24626e−5 0 1.43826e-5i
\(275\) 0.157496 0.00949738
\(276\) −1.21970 0.894931i −0.0734171 0.0538685i
\(277\) −16.7847 −1.00849 −0.504246 0.863560i \(-0.668230\pi\)
−0.504246 + 0.863560i \(0.668230\pi\)
\(278\) −21.1207 + 24.3746i −1.26673 + 1.46189i
\(279\) 7.10391 4.56540i 0.425300 0.273324i
\(280\) −0.888374 6.17878i −0.0530905 0.369253i
\(281\) −0.252366 0.552605i −0.0150549 0.0329656i 0.901955 0.431830i \(-0.142132\pi\)
−0.917010 + 0.398864i \(0.869405\pi\)
\(282\) 2.75580 19.1670i 0.164106 1.14138i
\(283\) 20.3943 5.98829i 1.21231 0.355967i 0.387764 0.921759i \(-0.373247\pi\)
0.824548 + 0.565792i \(0.191429\pi\)
\(284\) 0.0466517 + 0.0299812i 0.00276827 + 0.00177906i
\(285\) 1.47451 3.22872i 0.0873424 0.191253i
\(286\) −0.836797 0.245706i −0.0494808 0.0145289i
\(287\) 6.06850 + 7.00342i 0.358212 + 0.413399i
\(288\) −1.15816 1.33659i −0.0682452 0.0787592i
\(289\) 9.35394 + 2.74656i 0.550232 + 0.161563i
\(290\) −1.73378 + 3.79646i −0.101811 + 0.222936i
\(291\) −11.8353 7.60606i −0.693795 0.445875i
\(292\) −1.12706 + 0.330936i −0.0659564 + 0.0193665i
\(293\) −0.0884562 + 0.615226i −0.00516766 + 0.0359419i −0.992242 0.124320i \(-0.960325\pi\)
0.987074 + 0.160262i \(0.0512340\pi\)
\(294\) −0.676103 1.48046i −0.0394311 0.0863421i
\(295\) 0.000990968 0.00689233i 5.76964e−5 0.000401287i
\(296\) −7.00691 + 4.50307i −0.407268 + 0.261735i
\(297\) 0.103138 0.119028i 0.00598468 0.00690669i
\(298\) 12.4090 0.718836
\(299\) −17.4191 1.07804i −1.00737 0.0623445i
\(300\) −0.315440 −0.0182120
\(301\) −7.49691 + 8.65190i −0.432115 + 0.498687i
\(302\) 0.377477 0.242590i 0.0217214 0.0139595i
\(303\) 0.668922 + 4.65245i 0.0384286 + 0.267277i
\(304\) −6.68156 14.6306i −0.383214 0.839121i
\(305\) −0.718728 + 4.99886i −0.0411543 + 0.286234i
\(306\) −3.93154 + 1.15440i −0.224751 + 0.0659929i
\(307\) −9.33878 6.00167i −0.532992 0.342533i 0.246300 0.969194i \(-0.420785\pi\)
−0.779293 + 0.626660i \(0.784421\pi\)
\(308\) −0.0502588 + 0.110051i −0.00286376 + 0.00627077i
\(309\) −4.66978 1.37117i −0.265655 0.0780033i
\(310\) −8.41465 9.71102i −0.477920 0.551549i
\(311\) 1.21051 + 1.39701i 0.0686420 + 0.0792171i 0.789032 0.614352i \(-0.210583\pi\)
−0.720390 + 0.693569i \(0.756037\pi\)
\(312\) −8.95027 2.62804i −0.506709 0.148783i
\(313\) 5.36695 11.7520i 0.303358 0.664262i −0.695150 0.718865i \(-0.744662\pi\)
0.998508 + 0.0546031i \(0.0173894\pi\)
\(314\) −23.4222 15.0525i −1.32179 0.849462i
\(315\) −2.33660 + 0.686088i −0.131653 + 0.0386567i
\(316\) −0.386014 + 2.68478i −0.0217150 + 0.151031i
\(317\) 10.0430 + 21.9910i 0.564068 + 1.23514i 0.949896 + 0.312567i \(0.101189\pi\)
−0.385827 + 0.922571i \(0.626084\pi\)
\(318\) −1.60058 11.1323i −0.0897559 0.624266i
\(319\) −0.363407 + 0.233547i −0.0203469 + 0.0130761i
\(320\) 4.17252 4.81535i 0.233251 0.269186i
\(321\) 14.8104 0.826639
\(322\) −3.61089 + 17.4008i −0.201227 + 0.969707i
\(323\) −9.55804 −0.531824
\(324\) −0.206570 + 0.238394i −0.0114761 + 0.0132441i
\(325\) −3.06139 + 1.96743i −0.169815 + 0.109134i
\(326\) 3.98836 + 27.7397i 0.220895 + 1.53636i
\(327\) 2.07055 + 4.53386i 0.114501 + 0.250723i
\(328\) −1.38817 + 9.65494i −0.0766489 + 0.533105i
\(329\) −29.7348 + 8.73093i −1.63933 + 0.481352i
\(330\) −0.201611 0.129567i −0.0110983 0.00713245i
\(331\) −3.91271 + 8.56764i −0.215062 + 0.470920i −0.986160 0.165796i \(-0.946981\pi\)
0.771098 + 0.636716i \(0.219708\pi\)
\(332\) −2.16107 0.634548i −0.118604 0.0348253i
\(333\) 2.12787 + 2.45569i 0.116607 + 0.134571i
\(334\) 19.6121 + 22.6336i 1.07313 + 1.23845i
\(335\) 7.73290 + 2.27058i 0.422494 + 0.124055i
\(336\) −4.58411 + 10.0378i −0.250084 + 0.547607i
\(337\) −24.4854 15.7358i −1.33381 0.857186i −0.337358 0.941377i \(-0.609533\pi\)
−0.996450 + 0.0841908i \(0.973169\pi\)
\(338\) 0.354603 0.104121i 0.0192879 0.00566343i
\(339\) 0.00417426 0.0290326i 0.000226714 0.00157683i
\(340\) 0.352861 + 0.772657i 0.0191366 + 0.0419032i
\(341\) −0.189274 1.31643i −0.0102498 0.0712886i
\(342\) −4.54369 + 2.92005i −0.245695 + 0.157898i
\(343\) −12.8689 + 14.8515i −0.694857 + 0.801908i
\(344\) −12.0502 −0.649703
\(345\) −4.50932 1.63280i −0.242774 0.0879071i
\(346\) −30.0987 −1.61812
\(347\) −8.29742 + 9.57574i −0.445429 + 0.514052i −0.933415 0.358799i \(-0.883186\pi\)
0.487986 + 0.872852i \(0.337732\pi\)
\(348\) 0.727847 0.467759i 0.0390167 0.0250745i
\(349\) −0.579004 4.02706i −0.0309934 0.215564i 0.968439 0.249250i \(-0.0801842\pi\)
−0.999432 + 0.0336867i \(0.989275\pi\)
\(350\) 1.53937 + 3.37074i 0.0822825 + 0.180174i
\(351\) −0.517895 + 3.60204i −0.0276432 + 0.192262i
\(352\) −0.267259 + 0.0784742i −0.0142449 + 0.00418269i
\(353\) 8.42894 + 5.41695i 0.448627 + 0.288315i 0.745381 0.666639i \(-0.232268\pi\)
−0.296754 + 0.954954i \(0.595904\pi\)
\(354\) 0.00440158 0.00963811i 0.000233941 0.000512260i
\(355\) 0.168681 + 0.0495291i 0.00895264 + 0.00262873i
\(356\) −3.45862 3.99146i −0.183306 0.211547i
\(357\) 4.29433 + 4.95592i 0.227280 + 0.262295i
\(358\) 37.5478 + 11.0250i 1.98446 + 0.582690i
\(359\) 15.0884 33.0390i 0.796336 1.74373i 0.138786 0.990322i \(-0.455680\pi\)
0.657550 0.753411i \(-0.271593\pi\)
\(360\) −2.15640 1.38584i −0.113652 0.0730400i
\(361\) 6.14187 1.80342i 0.323256 0.0949167i
\(362\) 4.87226 33.8873i 0.256081 1.78108i
\(363\) 4.55926 + 9.98339i 0.239299 + 0.523992i
\(364\) −0.397833 2.76699i −0.0208521 0.145030i
\(365\) −3.13268 + 2.01325i −0.163972 + 0.105378i
\(366\) 5.03246 5.80777i 0.263051 0.303577i
\(367\) 3.48523 0.181927 0.0909637 0.995854i \(-0.471005\pi\)
0.0909637 + 0.995854i \(0.471005\pi\)
\(368\) −18.9727 + 10.5973i −0.989021 + 0.552425i
\(369\) 3.80531 0.198096
\(370\) 3.23789 3.73672i 0.168330 0.194263i
\(371\) −15.1419 + 9.73108i −0.786126 + 0.505213i
\(372\) 0.379086 + 2.63660i 0.0196547 + 0.136701i
\(373\) −2.80648 6.14534i −0.145314 0.318193i 0.822954 0.568108i \(-0.192325\pi\)
−0.968268 + 0.249915i \(0.919597\pi\)
\(374\) −0.0918420 + 0.638775i −0.00474903 + 0.0330303i
\(375\) −0.959493 + 0.281733i −0.0495480 + 0.0145486i
\(376\) −27.4417 17.6357i −1.41520 0.909492i
\(377\) 4.14638 9.07931i 0.213550 0.467608i
\(378\) 3.55550 + 1.04399i 0.182875 + 0.0536971i
\(379\) −15.9069 18.3576i −0.817084 0.942965i 0.182103 0.983279i \(-0.441709\pi\)
−0.999187 + 0.0403147i \(0.987164\pi\)
\(380\) 0.733215 + 0.846175i 0.0376131 + 0.0434079i
\(381\) −13.3191 3.91084i −0.682357 0.200358i
\(382\) −8.86522 + 19.4121i −0.453584 + 0.993211i
\(383\) 29.7253 + 19.1033i 1.51889 + 0.976133i 0.992005 + 0.126197i \(0.0402771\pi\)
0.526887 + 0.849936i \(0.323359\pi\)
\(384\) −12.6965 + 3.72804i −0.647917 + 0.190245i
\(385\) −0.0545837 + 0.379638i −0.00278184 + 0.0193481i
\(386\) −3.33780 7.30875i −0.169889 0.372006i
\(387\) 0.669023 + 4.65316i 0.0340084 + 0.236533i
\(388\) 3.73332 2.39926i 0.189530 0.121804i
\(389\) 0.0874399 0.100911i 0.00443338 0.00511639i −0.753529 0.657415i \(-0.771650\pi\)
0.757962 + 0.652299i \(0.226195\pi\)
\(390\) 5.53743 0.280398
\(391\) 1.04478 + 12.8719i 0.0528368 + 0.650959i
\(392\) −2.74168 −0.138476
\(393\) −3.87178 + 4.46827i −0.195305 + 0.225394i
\(394\) −16.5796 + 10.6551i −0.835269 + 0.536795i
\(395\) 1.22373 + 8.51123i 0.0615725 + 0.428246i
\(396\) 0.0206381 + 0.0451911i 0.00103710 + 0.00227094i
\(397\) 0.0567723 0.394860i 0.00284932 0.0198175i −0.988347 0.152216i \(-0.951359\pi\)
0.991197 + 0.132399i \(0.0422680\pi\)
\(398\) 1.36083 0.399575i 0.0682121 0.0200289i
\(399\) 7.27168 + 4.67323i 0.364039 + 0.233954i
\(400\) −1.88240 + 4.12189i −0.0941201 + 0.206094i
\(401\) −2.85252 0.837576i −0.142448 0.0418266i 0.209731 0.977759i \(-0.432741\pi\)
−0.352179 + 0.935933i \(0.614559\pi\)
\(402\) −8.03094 9.26820i −0.400547 0.462256i
\(403\) 20.1238 + 23.2241i 1.00244 + 1.15688i
\(404\) −1.42261 0.417715i −0.0707772 0.0207821i
\(405\) −0.415415 + 0.909632i −0.0206421 + 0.0452000i
\(406\) −8.55032 5.49496i −0.424345 0.272710i
\(407\) 0.491030 0.144180i 0.0243395 0.00714671i
\(408\) −0.982330 + 6.83225i −0.0486326 + 0.338247i
\(409\) −15.0543 32.9644i −0.744388 1.62998i −0.776198 0.630489i \(-0.782854\pi\)
0.0318102 0.999494i \(-0.489873\pi\)
\(410\) −0.824056 5.73143i −0.0406972 0.283055i
\(411\) 0.000174158 0 0.000111925i 8.59058e−6 0 5.52083e-6i
\(412\) 1.00536 1.16025i 0.0495305 0.0571612i
\(413\) −0.0169571 −0.000834405
\(414\) 4.42912 + 5.79983i 0.217679 + 0.285046i
\(415\) −7.14020 −0.350498
\(416\) 4.21463 4.86395i 0.206639 0.238475i
\(417\) 17.8307 11.4591i 0.873174 0.561155i
\(418\) 0.121061 + 0.841994i 0.00592126 + 0.0411833i
\(419\) −7.43868 16.2884i −0.363403 0.795742i −0.999705 0.0243015i \(-0.992264\pi\)
0.636301 0.771440i \(-0.280463\pi\)
\(420\) 0.109323 0.760356i 0.00533440 0.0371016i
\(421\) 10.3459 3.03782i 0.504226 0.148054i −0.0197201 0.999806i \(-0.506278\pi\)
0.523946 + 0.851751i \(0.324459\pi\)
\(422\) −9.80730 6.30277i −0.477412 0.306814i
\(423\) −5.28644 + 11.5757i −0.257035 + 0.562829i
\(424\) −18.1784 5.33765i −0.882819 0.259219i
\(425\) 1.76341 + 2.03508i 0.0855379 + 0.0987159i
\(426\) −0.175182 0.202171i −0.00848759 0.00979520i
\(427\) −11.8005 3.46493i −0.571064 0.167680i
\(428\) −1.94074 + 4.24963i −0.0938093 + 0.205414i
\(429\) 0.482157 + 0.309863i 0.0232788 + 0.0149603i
\(430\) 6.86356 2.01532i 0.330990 0.0971875i
\(431\) 3.62660 25.2235i 0.174687 1.21498i −0.694133 0.719847i \(-0.744212\pi\)
0.868820 0.495128i \(-0.164879\pi\)
\(432\) 1.88240 + 4.12189i 0.0905671 + 0.198314i
\(433\) 4.22440 + 29.3813i 0.203012 + 1.41198i 0.795283 + 0.606238i \(0.207322\pi\)
−0.592271 + 0.805739i \(0.701769\pi\)
\(434\) 26.3243 16.9176i 1.26361 0.812070i
\(435\) 1.79616 2.07288i 0.0861193 0.0993870i
\(436\) −1.57224 −0.0752968
\(437\) 6.10152 + 15.8917i 0.291875 + 0.760201i
\(438\) 5.66638 0.270750
\(439\) 7.16726 8.27146i 0.342075 0.394775i −0.558480 0.829518i \(-0.688615\pi\)
0.900555 + 0.434743i \(0.143161\pi\)
\(440\) −0.339626 + 0.218264i −0.0161910 + 0.0104053i
\(441\) 0.152217 + 1.05869i 0.00724844 + 0.0504140i
\(442\) −6.19432 13.5637i −0.294634 0.645158i
\(443\) 2.12556 14.7836i 0.100988 0.702389i −0.874929 0.484250i \(-0.839092\pi\)
0.975918 0.218139i \(-0.0699985\pi\)
\(444\) −0.983457 + 0.288769i −0.0466728 + 0.0137044i
\(445\) −14.0852 9.05201i −0.667703 0.429107i
\(446\) 15.8385 34.6816i 0.749977 1.64222i
\(447\) −7.82461 2.29751i −0.370091 0.108669i
\(448\) 10.1611 + 11.7265i 0.480067 + 0.554027i
\(449\) 18.5376 + 21.3935i 0.874843 + 1.00962i 0.999847 + 0.0174668i \(0.00556015\pi\)
−0.125004 + 0.992156i \(0.539894\pi\)
\(450\) 1.46002 + 0.428700i 0.0688260 + 0.0202091i
\(451\) 0.248967 0.545162i 0.0117234 0.0256707i
\(452\) 0.00778347 + 0.00500213i 0.000366104 + 0.000235280i
\(453\) −0.282936 + 0.0830777i −0.0132935 + 0.00390333i
\(454\) −3.23533 + 22.5022i −0.151842 + 1.05608i
\(455\) −3.68143 8.06120i −0.172588 0.377915i
\(456\) 1.29485 + 9.00586i 0.0606368 + 0.421738i
\(457\) −19.4758 + 12.5164i −0.911041 + 0.585490i −0.910045 0.414509i \(-0.863953\pi\)
−0.000995595 1.00000i \(0.500317\pi\)
\(458\) 15.3930 17.7644i 0.719265 0.830076i
\(459\) 2.69280 0.125689
\(460\) 1.05940 1.07992i 0.0493949 0.0503515i
\(461\) −7.63289 −0.355499 −0.177749 0.984076i \(-0.556882\pi\)
−0.177749 + 0.984076i \(0.556882\pi\)
\(462\) 0.382189 0.441070i 0.0177811 0.0205204i
\(463\) 20.5374 13.1986i 0.954454 0.613390i 0.0319962 0.999488i \(-0.489814\pi\)
0.922458 + 0.386098i \(0.126177\pi\)
\(464\) −1.76879 12.3022i −0.0821141 0.571116i
\(465\) 3.50794 + 7.68132i 0.162677 + 0.356213i
\(466\) 2.47246 17.1964i 0.114535 0.796606i
\(467\) 36.6442 10.7597i 1.69569 0.497900i 0.715948 0.698154i \(-0.245995\pi\)
0.979744 + 0.200254i \(0.0641768\pi\)
\(468\) −0.965685 0.620608i −0.0446388 0.0286876i
\(469\) −8.15315 + 17.8529i −0.376478 + 0.824371i
\(470\) 18.5797 + 5.45550i 0.857019 + 0.251644i
\(471\) 11.9821 + 13.8281i 0.552105 + 0.637163i
\(472\) −0.0116886 0.0134893i −0.000538010 0.000620897i
\(473\) 0.710400 + 0.208592i 0.0326642 + 0.00959108i
\(474\) 5.43543 11.9019i 0.249658 0.546674i
\(475\) 2.98602 + 1.91900i 0.137008 + 0.0880496i
\(476\) −1.98475 + 0.582775i −0.0909708 + 0.0267114i
\(477\) −1.05186 + 7.31588i −0.0481616 + 0.334971i
\(478\) 4.09434 + 8.96535i 0.187271 + 0.410066i
\(479\) −4.90353 34.1048i −0.224048 1.55829i −0.722500 0.691371i \(-0.757007\pi\)
0.498451 0.866918i \(-0.333902\pi\)
\(480\) 1.48781 0.956155i 0.0679088 0.0436423i
\(481\) −7.74348 + 8.93646i −0.353072 + 0.407467i
\(482\) 13.4223 0.611370
\(483\) 5.49860 10.3036i 0.250195 0.468832i
\(484\) −3.46202 −0.157365
\(485\) 9.21297 10.6323i 0.418339 0.482789i
\(486\) 1.28010 0.822670i 0.0580665 0.0373171i
\(487\) 4.52984 + 31.5057i 0.205267 + 1.42766i 0.788339 + 0.615241i \(0.210941\pi\)
−0.583073 + 0.812420i \(0.698150\pi\)
\(488\) −5.37774 11.7756i −0.243439 0.533057i
\(489\) 2.62106 18.2299i 0.118529 0.824385i
\(490\) 1.56161 0.458530i 0.0705463 0.0207143i
\(491\) 3.09550 + 1.98936i 0.139698 + 0.0897784i 0.608623 0.793460i \(-0.291722\pi\)
−0.468925 + 0.883238i \(0.655359\pi\)
\(492\) −0.498642 + 1.09187i −0.0224805 + 0.0492255i
\(493\) −7.08666 2.08083i −0.319167 0.0937159i
\(494\) −12.8713 14.8543i −0.579107 0.668325i
\(495\) 0.103138 + 0.119028i 0.00463571 + 0.00534990i
\(496\) 36.7149 + 10.7805i 1.64855 + 0.484057i
\(497\) −0.177848 + 0.389432i −0.00797756 + 0.0174684i
\(498\) 9.14016 + 5.87402i 0.409580 + 0.263221i
\(499\) −3.26130 + 0.957603i −0.145996 + 0.0428682i −0.353914 0.935278i \(-0.615149\pi\)
0.207918 + 0.978146i \(0.433331\pi\)
\(500\) 0.0448918 0.312230i 0.00200762 0.0139633i
\(501\) −8.17600 17.9029i −0.365277 0.799844i
\(502\) 1.50194 + 10.4462i 0.0670348 + 0.466238i
\(503\) 0.670661 0.431008i 0.0299033 0.0192177i −0.525604 0.850730i \(-0.676161\pi\)
0.555507 + 0.831512i \(0.312524\pi\)
\(504\) 4.08785 4.71763i 0.182087 0.210140i
\(505\) −4.70030 −0.209160
\(506\) 1.12069 0.255070i 0.0498206 0.0113393i
\(507\) −0.242876 −0.0107865
\(508\) 2.86747 3.30924i 0.127223 0.146824i
\(509\) 13.9644 8.97436i 0.618960 0.397782i −0.193247 0.981150i \(-0.561902\pi\)
0.812208 + 0.583368i \(0.198266\pi\)
\(510\) −0.583137 4.05581i −0.0258218 0.179594i
\(511\) −3.76716 8.24893i −0.166649 0.364911i
\(512\) −2.16557 + 15.0619i −0.0957056 + 0.665647i
\(513\) 3.40570 1.00001i 0.150366 0.0441513i
\(514\) 29.0127 + 18.6454i 1.27970 + 0.822411i
\(515\) 2.02180 4.42711i 0.0890910 0.195082i
\(516\) −1.42282 0.417778i −0.0626362 0.0183916i
\(517\) 1.31250 + 1.51471i 0.0577238 + 0.0666168i
\(518\) 7.88505 + 9.09984i 0.346449 + 0.399824i
\(519\) 18.9790 + 5.57273i 0.833084 + 0.244616i
\(520\) 3.87504 8.48516i 0.169932 0.372099i
\(521\) 23.5219 + 15.1166i 1.03051 + 0.662271i 0.942623 0.333859i \(-0.108351\pi\)
0.0878909 + 0.996130i \(0.471987\pi\)
\(522\) −4.00456 + 1.17584i −0.175275 + 0.0514653i
\(523\) 3.04182 21.1563i 0.133009 0.925101i −0.808592 0.588370i \(-0.799770\pi\)
0.941601 0.336730i \(-0.109321\pi\)
\(524\) −0.774749 1.69646i −0.0338450 0.0741103i
\(525\) −0.346572 2.41046i −0.0151256 0.105201i
\(526\) 12.6424 8.12477i 0.551234 0.354257i
\(527\) 14.8910 17.1851i 0.648661 0.748595i
\(528\) 0.713675 0.0310587
\(529\) 20.7344 9.95405i 0.901497 0.432785i
\(530\) 11.2467 0.488527
\(531\) −0.00455993 + 0.00526244i −0.000197884 + 0.000228370i
\(532\) −2.29378 + 1.47412i −0.0994480 + 0.0639114i
\(533\) 1.97075 + 13.7068i 0.0853625 + 0.593710i
\(534\) 10.5836 + 23.1750i 0.457999 + 1.00288i
\(535\) −2.10775 + 14.6597i −0.0911258 + 0.633794i
\(536\) −19.8219 + 5.82024i −0.856176 + 0.251396i
\(537\) −21.6348 13.9038i −0.933609 0.599994i
\(538\) −4.48444 + 9.81956i −0.193338 + 0.423351i
\(539\) 0.161631 + 0.0474593i 0.00696196 + 0.00204422i
\(540\) −0.206570 0.238394i −0.00888934 0.0102588i
\(541\) 6.28125 + 7.24895i 0.270052 + 0.311657i 0.874536 0.484961i \(-0.161166\pi\)
−0.604484 + 0.796617i \(0.706621\pi\)
\(542\) 20.7583 + 6.09517i 0.891643 + 0.261810i
\(543\) −9.34644 + 20.4658i −0.401094 + 0.878273i
\(544\) −4.00636 2.57473i −0.171771 0.110391i
\(545\) −4.78238 + 1.40423i −0.204855 + 0.0601508i
\(546\) −1.91911 + 13.3477i −0.0821305 + 0.571230i
\(547\) −16.9219 37.0537i −0.723527 1.58430i −0.808895 0.587953i \(-0.799934\pi\)
0.0853679 0.996349i \(-0.472793\pi\)
\(548\) 9.29360e−6 0 6.46384e-5i 3.97003e−7 0 2.76122e-6i
\(549\) −4.24856 + 2.73038i −0.181324 + 0.116530i
\(550\) 0.156941 0.181119i 0.00669198 0.00772296i
\(551\) −9.73557 −0.414749
\(552\) 11.9867 2.72820i 0.510188 0.116120i
\(553\) −20.9401 −0.890462
\(554\) −16.7255 + 19.3022i −0.710597 + 0.820073i
\(555\) −2.73353 + 1.75673i −0.116032 + 0.0745690i
\(556\) 0.951502 + 6.61784i 0.0403527 + 0.280659i
\(557\) 17.6291 + 38.6022i 0.746967 + 1.63563i 0.771741 + 0.635937i \(0.219386\pi\)
−0.0247743 + 0.999693i \(0.507887\pi\)
\(558\) 1.82868 12.7187i 0.0774141 0.538427i
\(559\) −16.4144 + 4.81969i −0.694253 + 0.203851i
\(560\) −9.28325 5.96598i −0.392289 0.252109i
\(561\) 0.176180 0.385780i 0.00743832 0.0162876i
\(562\) −0.886967 0.260437i −0.0374145 0.0109859i
\(563\) −20.5473 23.7129i −0.865967 0.999379i −0.999965 0.00839740i \(-0.997327\pi\)
0.133998 0.990982i \(-0.457218\pi\)
\(564\) −2.62874 3.03372i −0.110690 0.127743i
\(565\) 0.0281430 + 0.00826354i 0.00118399 + 0.000347650i
\(566\) 13.4358 29.4204i 0.564751 1.23663i
\(567\) −2.04866 1.31659i −0.0860356 0.0552917i
\(568\) −0.432383 + 0.126959i −0.0181424 + 0.00532708i
\(569\) 1.82396 12.6859i 0.0764644 0.531822i −0.915203 0.402994i \(-0.867969\pi\)
0.991667 0.128828i \(-0.0411214\pi\)
\(570\) −2.24370 4.91301i −0.0939781 0.205783i
\(571\) 0.930485 + 6.47167i 0.0389396 + 0.270831i 0.999985 0.00556128i \(-0.00177022\pi\)
−0.961045 + 0.276392i \(0.910861\pi\)
\(572\) −0.152092 + 0.0977434i −0.00635927 + 0.00408686i
\(573\) 9.18416 10.5991i 0.383674 0.442783i
\(574\) 14.1010 0.588563
\(575\) 2.25792 4.23105i 0.0941620 0.176447i
\(576\) 6.37162 0.265484
\(577\) 30.8750 35.6316i 1.28534 1.48336i 0.497533 0.867445i \(-0.334239\pi\)
0.787809 0.615919i \(-0.211215\pi\)
\(578\) 12.4795 8.02007i 0.519078 0.333591i
\(579\) 0.751469 + 5.22658i 0.0312300 + 0.217209i
\(580\) 0.359414 + 0.787008i 0.0149239 + 0.0326787i
\(581\) 2.47459 17.2111i 0.102663 0.714038i
\(582\) −20.5404 + 6.03121i −0.851428 + 0.250002i
\(583\) 0.979280 + 0.629345i 0.0405576 + 0.0260648i
\(584\) 3.96529 8.68276i 0.164085 0.359295i
\(585\) −3.49167 1.02525i −0.144363 0.0423887i
\(586\) 0.619361 + 0.714780i 0.0255856 + 0.0295273i
\(587\) −14.5740 16.8193i −0.601534 0.694208i 0.370557 0.928810i \(-0.379167\pi\)
−0.972092 + 0.234602i \(0.924621\pi\)
\(588\) −0.323723 0.0950535i −0.0133501 0.00391994i
\(589\) 12.4514 27.2647i 0.513050 1.12342i
\(590\) 0.00891360 + 0.00572842i 0.000366967 + 0.000235835i
\(591\) 12.4272 3.64895i 0.511186 0.150098i
\(592\) −2.09545 + 14.5742i −0.0861223 + 0.598994i
\(593\) −5.07151 11.1051i −0.208262 0.456030i 0.776460 0.630167i \(-0.217014\pi\)
−0.984721 + 0.174137i \(0.944286\pi\)
\(594\) −0.0341065 0.237216i −0.00139941 0.00973309i
\(595\) −5.51662 + 3.54532i −0.226160 + 0.145344i
\(596\) 1.68456 1.94409i 0.0690024 0.0796330i
\(597\) −0.932061 −0.0381467
\(598\) −18.5974 + 18.9575i −0.760503 + 0.775232i
\(599\) −18.0130 −0.735993 −0.367996 0.929827i \(-0.619956\pi\)
−0.367996 + 0.929827i \(0.619956\pi\)
\(600\) 1.67862 1.93723i 0.0685293 0.0790871i
\(601\) −36.7010 + 23.5863i −1.49707 + 0.962106i −0.501793 + 0.864988i \(0.667326\pi\)
−0.995273 + 0.0971178i \(0.969038\pi\)
\(602\) 2.47914 + 17.2428i 0.101042 + 0.702763i
\(603\) 3.34798 + 7.33105i 0.136340 + 0.298544i
\(604\) 0.0132378 0.0920707i 0.000538637 0.00374630i
\(605\) −10.5306 + 3.09207i −0.428131 + 0.125711i
\(606\) 6.01685 + 3.86679i 0.244418 + 0.157078i
\(607\) 9.31529 20.3976i 0.378096 0.827915i −0.620933 0.783863i \(-0.713246\pi\)
0.999029 0.0440513i \(-0.0140265\pi\)
\(608\) −6.02319 1.76857i −0.244273 0.0717249i
\(609\) 4.37409 + 5.04797i 0.177247 + 0.204554i
\(610\) 5.03246 + 5.80777i 0.203758 + 0.235150i
\(611\) −44.4338 13.0470i −1.79760 0.527823i
\(612\) −0.352861 + 0.772657i −0.0142635 + 0.0312328i
\(613\) 6.04217 + 3.88307i 0.244041 + 0.156836i 0.656944 0.753939i \(-0.271849\pi\)
−0.412903 + 0.910775i \(0.635485\pi\)
\(614\) −16.2077 + 4.75901i −0.654090 + 0.192058i
\(615\) −0.541552 + 3.76657i −0.0218375 + 0.151883i
\(616\) −0.408412 0.894297i −0.0164554 0.0360323i
\(617\) −1.10220 7.66597i −0.0443729 0.308621i −0.999906 0.0137355i \(-0.995628\pi\)
0.955533 0.294885i \(-0.0952814\pi\)
\(618\) −6.23015 + 4.00388i −0.250614 + 0.161060i
\(619\) −26.5573 + 30.6488i −1.06743 + 1.23188i −0.0957912 + 0.995401i \(0.530538\pi\)
−0.971637 + 0.236477i \(0.924007\pi\)
\(620\) −2.66371 −0.106977
\(621\) −1.71899 4.47717i −0.0689806 0.179663i
\(622\) 2.81279 0.112783
\(623\) 26.7010 30.8146i 1.06975 1.23456i
\(624\) −13.8723 + 8.91518i −0.555336 + 0.356893i
\(625\) −0.142315 0.989821i −0.00569259 0.0395929i
\(626\) −8.16666 17.8825i −0.326405 0.714728i
\(627\) 0.0795583 0.553340i 0.00317725 0.0220983i
\(628\) −5.53786 + 1.62606i −0.220985 + 0.0648870i
\(629\) 7.36083 + 4.73052i 0.293496 + 0.188618i
\(630\) −1.53937 + 3.37074i −0.0613298 + 0.134293i
\(631\) −8.10361 2.37943i −0.322600 0.0947238i 0.116423 0.993200i \(-0.462857\pi\)
−0.439023 + 0.898476i \(0.644675\pi\)
\(632\) −14.4340 16.6578i −0.574155 0.662610i
\(633\) 5.01712 + 5.79007i 0.199413 + 0.230134i
\(634\) 35.2970 + 10.3641i 1.40182 + 0.411612i
\(635\) 5.76653 12.6269i 0.228838 0.501085i
\(636\) −1.96134 1.26048i −0.0777723 0.0499812i
\(637\) −3.73462 + 1.09658i −0.147971 + 0.0434483i
\(638\) −0.0935477 + 0.650639i −0.00370359 + 0.0257590i
\(639\) 0.0730307 + 0.159915i 0.00288905 + 0.00632614i
\(640\) −1.88319 13.0978i −0.0744395 0.517738i
\(641\) −37.1651 + 23.8846i −1.46793 + 0.943384i −0.469772 + 0.882788i \(0.655664\pi\)
−0.998162 + 0.0605960i \(0.980700\pi\)
\(642\) 14.7582 17.0319i 0.582460 0.672195i
\(643\) −42.6078 −1.68029 −0.840144 0.542363i \(-0.817530\pi\)
−0.840144 + 0.542363i \(0.817530\pi\)
\(644\) 2.23594 + 2.92791i 0.0881085 + 0.115376i
\(645\) −4.70101 −0.185102
\(646\) −9.52434 + 10.9917i −0.374730 + 0.432462i
\(647\) −20.4858 + 13.1654i −0.805378 + 0.517585i −0.877367 0.479820i \(-0.840702\pi\)
0.0719886 + 0.997405i \(0.477065\pi\)
\(648\) −0.364799 2.53723i −0.0143306 0.0996719i
\(649\) 0.000455577 0 0.000997574i 1.78830e−5 0 3.91582e-5i
\(650\) −0.788058 + 5.48106i −0.0309102 + 0.214985i
\(651\) −19.7313 + 5.79362i −0.773329 + 0.227070i
\(652\) 4.88733 + 3.14090i 0.191403 + 0.123007i
\(653\) 6.74732 14.7746i 0.264043 0.578174i −0.730451 0.682965i \(-0.760690\pi\)
0.994494 + 0.104791i \(0.0334174\pi\)
\(654\) 7.27715 + 2.13676i 0.284559 + 0.0835541i
\(655\) −3.87178 4.46827i −0.151283 0.174590i
\(656\) 11.2919 + 13.0316i 0.440876 + 0.508799i
\(657\) −3.57298 1.04912i −0.139395 0.0409302i
\(658\) −19.5895 + 42.8949i −0.763677 + 1.67222i
\(659\) 27.9502 + 17.9625i 1.08878 + 0.699719i 0.956570 0.291502i \(-0.0941550\pi\)
0.132214 + 0.991221i \(0.457791\pi\)
\(660\) −0.0476683 + 0.0139967i −0.00185548 + 0.000544819i
\(661\) 6.02230 41.8860i 0.234240 1.62918i −0.445189 0.895436i \(-0.646864\pi\)
0.679430 0.733741i \(-0.262227\pi\)
\(662\) 5.95380 + 13.0370i 0.231401 + 0.506698i
\(663\) 1.39459 + 9.69956i 0.0541612 + 0.376700i
\(664\) 15.3971 9.89514i 0.597525 0.384006i
\(665\) −5.66053 + 6.53260i −0.219506 + 0.253323i
\(666\) 4.94439 0.191591
\(667\) 1.06419 + 13.1109i 0.0412054 + 0.507658i
\(668\) 6.20835 0.240208
\(669\) −16.4084 + 18.9363i −0.634384 + 0.732118i
\(670\) 10.3168 6.63020i 0.398572 0.256147i
\(671\) 0.113197 + 0.787302i 0.00436992 + 0.0303935i
\(672\) 1.78914 + 3.91767i 0.0690176 + 0.151127i
\(673\) 5.97541 41.5599i 0.230335 1.60201i −0.466325 0.884613i \(-0.654422\pi\)
0.696660 0.717401i \(-0.254669\pi\)
\(674\) −42.4952 + 12.4777i −1.63685 + 0.480623i
\(675\) −0.841254 0.540641i −0.0323799 0.0208093i
\(676\) 0.0318261 0.0696894i 0.00122408 0.00268036i
\(677\) 39.8821 + 11.7104i 1.53279 + 0.450069i 0.935904 0.352255i \(-0.114585\pi\)
0.596889 + 0.802324i \(0.296403\pi\)
\(678\) −0.0292277 0.0337306i −0.00112248 0.00129541i
\(679\) 22.4358 + 25.8923i 0.861009 + 0.993657i
\(680\) −6.62291 1.94466i −0.253977 0.0745744i
\(681\) 6.20631 13.5899i 0.237826 0.520767i
\(682\) −1.70249 1.09412i −0.0651917 0.0418961i
\(683\) 49.4453 14.5184i 1.89197 0.555533i 0.898879 0.438197i \(-0.144383\pi\)
0.993092 0.117336i \(-0.0374354\pi\)
\(684\) −0.159343 + 1.10825i −0.00609263 + 0.0423752i
\(685\) 8.60001e−5 0 0.000188314i 3.28589e−6 0 7.19510e-6i
\(686\) 4.25560 + 29.5983i 0.162480 + 1.13007i
\(687\) −12.9952 + 8.35151i −0.495798 + 0.318630i
\(688\) −13.9499 + 16.0990i −0.531834 + 0.613769i
\(689\) −26.8968 −1.02469
\(690\) −6.37113 + 3.55864i −0.242545 + 0.135475i
\(691\) −29.7608 −1.13215 −0.566077 0.824352i \(-0.691540\pi\)
−0.566077 + 0.824352i \(0.691540\pi\)
\(692\) −4.08599 + 4.71548i −0.155326 + 0.179256i
\(693\) −0.322656 + 0.207358i −0.0122567 + 0.00787690i
\(694\) 2.74386 + 19.0839i 0.104155 + 0.724416i
\(695\) 8.80490 + 19.2800i 0.333989 + 0.731333i
\(696\) −1.00057 + 6.95915i −0.0379267 + 0.263786i
\(697\) 9.83185 2.88689i 0.372408 0.109349i
\(698\) −5.20805 3.34701i −0.197128 0.126686i
\(699\) −4.74291 + 10.3855i −0.179393 + 0.392817i
\(700\) 0.737058 + 0.216420i 0.0278582 + 0.00817990i
\(701\) 20.8821 + 24.0992i 0.788704 + 0.910213i 0.997706 0.0677020i \(-0.0215667\pi\)
−0.209001 + 0.977915i \(0.567021\pi\)
\(702\) 3.62624 + 4.18491i 0.136864 + 0.157949i
\(703\) 11.0663 + 3.24936i 0.417374 + 0.122552i
\(704\) 0.416871 0.912821i 0.0157114 0.0344032i
\(705\) −10.7055 6.88002i −0.403193 0.259117i
\(706\) 14.6287 4.29536i 0.550557 0.161658i
\(707\) 1.62899 11.3299i 0.0612644 0.426104i
\(708\) −0.000912449 0.00199799i −3.42919e−5 7.50889e-5i
\(709\) −3.56174 24.7724i −0.133764 0.930348i −0.940586 0.339554i \(-0.889724\pi\)
0.806823 0.590794i \(-0.201185\pi\)
\(710\) 0.225044 0.144627i 0.00844574 0.00542775i
\(711\) −5.63098 + 6.49850i −0.211178 + 0.243713i
\(712\) 42.9180 1.60842
\(713\) −38.0786 13.7881i −1.42606 0.516367i
\(714\) 9.97846 0.373434
\(715\) −0.375327 + 0.433151i −0.0140365 + 0.0161989i
\(716\) 6.82448 4.38583i 0.255043 0.163906i
\(717\) −0.921796 6.41123i −0.0344251 0.239432i
\(718\) −22.9594 50.2741i −0.856837 1.87621i
\(719\) 2.82546 19.6515i 0.105372 0.732876i −0.866808 0.498641i \(-0.833832\pi\)
0.972180 0.234235i \(-0.0752585\pi\)
\(720\) −4.34783 + 1.27664i −0.162034 + 0.0475774i
\(721\) 9.97068 + 6.40776i 0.371327 + 0.238638i
\(722\) 4.04630 8.86016i 0.150588 0.329741i
\(723\) −8.46355 2.48512i −0.314763 0.0924227i
\(724\) −4.64761 5.36363i −0.172727 0.199338i
\(725\) 1.79616 + 2.07288i 0.0667077 + 0.0769848i
\(726\) 16.0240 + 4.70507i 0.594706 + 0.174622i
\(727\) −5.22227 + 11.4352i −0.193683 + 0.424107i −0.981411 0.191916i \(-0.938530\pi\)
0.787728 + 0.616023i \(0.211257\pi\)
\(728\) 19.1101 + 12.2813i 0.708269 + 0.455177i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) −0.806410 + 5.60871i −0.0298466 + 0.207588i
\(731\) 5.25868 + 11.5149i 0.194499 + 0.425894i
\(732\) −0.226716 1.57684i −0.00837966 0.0582818i
\(733\) −31.0791 + 19.9733i −1.14793 + 0.737732i −0.969227 0.246170i \(-0.920828\pi\)
−0.178707 + 0.983902i \(0.557191\pi\)
\(734\) 3.47294 4.00798i 0.128188 0.147937i
\(735\) −1.06958 −0.0394521
\(736\) −1.72335 + 8.30479i −0.0635236 + 0.306119i
\(737\) 1.26932 0.0467560
\(738\) 3.79189 4.37607i 0.139581 0.161085i
\(739\) 9.85609 6.33412i 0.362562 0.233004i −0.346658 0.937992i \(-0.612684\pi\)
0.709220 + 0.704987i \(0.249047\pi\)
\(740\) −0.145869 1.01454i −0.00536226 0.0372953i
\(741\) 5.36585 + 11.7496i 0.197119 + 0.431631i
\(742\) −3.89780 + 27.1098i −0.143093 + 0.995231i
\(743\) −30.1264 + 8.84591i −1.10523 + 0.324525i −0.782928 0.622112i \(-0.786275\pi\)
−0.322302 + 0.946637i \(0.604457\pi\)
\(744\) −18.2096 11.7026i −0.667596 0.429038i
\(745\) 3.38769 7.41800i 0.124115 0.271774i
\(746\) −9.86367 2.89623i −0.361135 0.106039i
\(747\) −4.67583 5.39620i −0.171080 0.197437i
\(748\) 0.0876073 + 0.101104i 0.00320324 + 0.00369674i
\(749\) −34.6061 10.1613i −1.26448 0.371285i
\(750\) −0.632119 + 1.38415i −0.0230817 + 0.0505419i
\(751\) 21.0465 + 13.5257i 0.767996 + 0.493561i 0.865030 0.501720i \(-0.167299\pi\)
−0.0970338 + 0.995281i \(0.530935\pi\)
\(752\) −55.3290 + 16.2461i −2.01764 + 0.592433i
\(753\) 0.987042 6.86503i 0.0359698 0.250176i
\(754\) −6.30937 13.8156i −0.229774 0.503134i
\(755\) −0.0419660 0.291880i −0.00152730 0.0106226i
\(756\) 0.646230 0.415307i 0.0235031 0.0151046i
\(757\) −16.5596 + 19.1108i −0.601869 + 0.694594i −0.972159 0.234322i \(-0.924713\pi\)
0.370290 + 0.928916i \(0.379258\pi\)
\(758\) −36.9619 −1.34252
\(759\) −0.753883 0.0466566i −0.0273642 0.00169353i
\(760\) −9.09847 −0.330036
\(761\) 13.4782 15.5546i 0.488584 0.563856i −0.456903 0.889517i \(-0.651041\pi\)
0.945487 + 0.325661i \(0.105587\pi\)
\(762\) −17.7695 + 11.4198i −0.643723 + 0.413695i
\(763\) −1.72741 12.0144i −0.0625365 0.434951i
\(764\) 1.83777 + 4.02415i 0.0664880 + 0.145588i
\(765\) −0.383225 + 2.66539i −0.0138555 + 0.0963674i
\(766\) 51.5891 15.1479i 1.86399 0.547317i
\(767\) −0.0213171 0.0136996i −0.000769715 0.000494665i
\(768\) −3.07081 + 6.72413i −0.110808 + 0.242636i
\(769\) −13.9539 4.09723i −0.503190 0.147750i 0.0202797 0.999794i \(-0.493544\pi\)
−0.523469 + 0.852045i \(0.675362\pi\)
\(770\) 0.382189 + 0.441070i 0.0137732 + 0.0158951i
\(771\) −14.8421 17.1286i −0.534523 0.616873i
\(772\) −1.59816 0.469262i −0.0575190 0.0168891i
\(773\) −9.18634 + 20.1153i −0.330410 + 0.723496i −0.999812 0.0194043i \(-0.993823\pi\)
0.669402 + 0.742900i \(0.266550\pi\)
\(774\) 6.01776 + 3.86738i 0.216304 + 0.139010i
\(775\) −8.10237 + 2.37907i −0.291046 + 0.0854587i
\(776\) −5.13221 + 35.6953i −0.184235 + 1.28139i
\(777\) −3.28716 7.19788i −0.117926 0.258223i
\(778\) −0.0289153 0.201110i −0.00103666 0.00721015i
\(779\) 11.3627 7.30237i 0.407111 0.261634i
\(780\) 0.751722 0.867534i 0.0269160 0.0310627i
\(781\) 0.0276881 0.000990759
\(782\) 15.8436 + 11.6250i 0.566568 + 0.415709i
\(783\) 2.74281 0.0980201
\(784\) −3.17390 + 3.66287i −0.113354 + 0.130817i
\(785\) −15.3925 + 9.89218i −0.549383 + 0.353067i
\(786\) 1.28035 + 8.90502i 0.0456685 + 0.317632i
\(787\) −13.3105 29.1460i −0.474469 1.03894i −0.983947 0.178459i \(-0.942889\pi\)
0.509478 0.860484i \(-0.329839\pi\)
\(788\) −0.581431 + 4.04394i −0.0207126 + 0.144060i
\(789\) −9.47605 + 2.78242i −0.337356 + 0.0990567i
\(790\) 11.0073 + 7.07393i 0.391621 + 0.251679i
\(791\) −0.0296725 + 0.0649737i −0.00105503 + 0.00231020i
\(792\) −0.387360 0.113739i −0.0137643 0.00404155i
\(793\) −12.0352 13.8894i −0.427384 0.493227i
\(794\) −0.397514 0.458756i −0.0141072 0.0162806i
\(795\) −7.09172 2.08232i −0.251517 0.0738521i
\(796\) 0.122136 0.267441i 0.00432900 0.00947918i
\(797\) 13.7969 + 8.86671i 0.488710 + 0.314075i 0.761686 0.647946i \(-0.224372\pi\)
−0.272976 + 0.962021i \(0.588008\pi\)
\(798\) 12.6202 3.70563i 0.446750 0.131178i
\(799\) −4.87680 + 33.9189i −0.172529 + 1.19996i
\(800\) 0.734686 + 1.60874i 0.0259751 + 0.0568775i
\(801\) −2.38279 16.5727i −0.0841919 0.585568i
\(802\) −3.80567 + 2.44576i −0.134383 + 0.0863626i
\(803\) −0.384068 + 0.443238i −0.0135535 + 0.0156415i
\(804\) −2.54225 −0.0896582
\(805\) 9.41623 + 6.90899i 0.331879 + 0.243510i
\(806\) 46.7604 1.64706
\(807\) 4.64578 5.36152i 0.163539 0.188734i
\(808\) 10.1357 6.51384i 0.356574 0.229156i
\(809\) 3.44796 + 23.9811i 0.121224 + 0.843129i 0.956173 + 0.292802i \(0.0945878\pi\)
−0.834949 + 0.550327i \(0.814503\pi\)
\(810\) 0.632119 + 1.38415i 0.0222104 + 0.0486340i
\(811\) 0.992419 6.90243i 0.0348485 0.242377i −0.964950 0.262433i \(-0.915475\pi\)
0.999799 + 0.0200557i \(0.00638435\pi\)
\(812\) −2.02161 + 0.593599i −0.0709447 + 0.0208312i
\(813\) −11.9608 7.68672i −0.419483 0.269585i
\(814\) 0.323493 0.708352i 0.0113384 0.0248277i
\(815\) 17.6713 + 5.18877i 0.619000 + 0.181755i
\(816\) 7.99067 + 9.22172i 0.279729 + 0.322825i
\(817\) 10.9271 + 12.6105i 0.382291 + 0.441187i
\(818\) −52.9100 15.5358i −1.84995 0.543195i
\(819\) 3.68143 8.06120i 0.128639 0.281681i
\(820\) −1.00980 0.648957i −0.0352636 0.0226625i
\(821\) 23.0225 6.76002i 0.803491 0.235926i 0.145898 0.989300i \(-0.453393\pi\)
0.657593 + 0.753373i \(0.271575\pi\)
\(822\) 4.48315e−5 0 0.000311810i 1.56368e−6 0 1.08756e-5i
\(823\) −2.96728 6.49743i −0.103433 0.226486i 0.850839 0.525426i \(-0.176094\pi\)
−0.954272 + 0.298940i \(0.903367\pi\)
\(824\) 1.77545 + 12.3485i 0.0618507 + 0.430181i
\(825\) −0.132494 + 0.0851489i −0.00461286 + 0.00296450i
\(826\) −0.0168973 + 0.0195005i −0.000587933 + 0.000678511i
\(827\) −25.7772 −0.896360 −0.448180 0.893943i \(-0.647928\pi\)
−0.448180 + 0.893943i \(0.647928\pi\)
\(828\) 1.50991 + 0.0934458i 0.0524730 + 0.00324747i
\(829\) 31.3952 1.09040 0.545200 0.838306i \(-0.316454\pi\)
0.545200 + 0.838306i \(0.316454\pi\)
\(830\) −7.11502 + 8.21117i −0.246966 + 0.285014i
\(831\) 14.1202 9.07447i 0.489823 0.314790i
\(832\) 3.29982 + 22.9508i 0.114401 + 0.795675i
\(833\) 1.19646 + 2.61989i 0.0414550 + 0.0907739i
\(834\) 4.58996 31.9239i 0.158937 1.10543i
\(835\) 18.8843 5.54493i 0.653517 0.191890i
\(836\) 0.148347 + 0.0953370i 0.00513070 + 0.00329730i
\(837\) −3.50794 + 7.68132i −0.121252 + 0.265505i
\(838\) −26.1440 7.67657i −0.903130 0.265183i
\(839\) 26.2849 + 30.3343i 0.907454 + 1.04726i 0.998677 + 0.0514273i \(0.0163770\pi\)
−0.0912227 + 0.995831i \(0.529078\pi\)
\(840\) 4.08785 + 4.71763i 0.141044 + 0.162774i
\(841\) 20.6070 + 6.05076i 0.710587 + 0.208647i
\(842\) 6.81590 14.9247i 0.234892 0.514341i
\(843\) 0.511065 + 0.328441i 0.0176020 + 0.0113121i
\(844\) −2.31881 + 0.680863i −0.0798166 + 0.0234363i
\(845\) 0.0345648 0.240403i 0.00118906 0.00827013i
\(846\) 8.04415 + 17.6142i 0.276563 + 0.605589i
\(847\) −3.80369 26.4552i −0.130696 0.909013i
\(848\) −28.1752 + 18.1071i −0.967540 + 0.621800i
\(849\) −13.9192 + 16.0636i −0.477706 + 0.551303i
\(850\) 4.09752 0.140544
\(851\) 3.16629 15.2583i 0.108539 0.523047i
\(852\) −0.0554550 −0.00189986
\(853\) 17.1265 19.7650i 0.586400 0.676742i −0.382568 0.923927i \(-0.624960\pi\)
0.968968 + 0.247185i \(0.0795057\pi\)
\(854\) −15.7435 + 10.1177i −0.538731 + 0.346221i
\(855\) 0.505144 + 3.51336i 0.0172756 + 0.120154i
\(856\) −15.7708 34.5332i −0.539035 1.18032i
\(857\) 2.90454 20.2015i 0.0992173 0.690072i −0.878129 0.478424i \(-0.841208\pi\)
0.977346 0.211647i \(-0.0678828\pi\)
\(858\) 0.836797 0.245706i 0.0285678 0.00838825i
\(859\) 29.5383 + 18.9831i 1.00783 + 0.647696i 0.936832 0.349780i \(-0.113744\pi\)
0.0710028 + 0.997476i \(0.477380\pi\)
\(860\) 0.616014 1.34888i 0.0210059 0.0459965i
\(861\) −8.89148 2.61077i −0.303021 0.0889749i
\(862\) −25.3931 29.3051i −0.864891 0.998137i
\(863\) −21.2155 24.4840i −0.722184 0.833445i 0.269384 0.963033i \(-0.413180\pi\)
−0.991568 + 0.129588i \(0.958634\pi\)
\(864\) 1.69692 + 0.498261i 0.0577304 + 0.0169512i
\(865\) −8.21699 + 17.9927i −0.279386 + 0.611770i
\(866\) 37.9978 + 24.4197i 1.29122 + 0.829815i
\(867\) −9.35394 + 2.74656i −0.317676 + 0.0932782i
\(868\) 0.923167 6.42077i 0.0313343 0.217935i
\(869\) 0.562584 + 1.23189i 0.0190844 + 0.0417889i
\(870\) −0.593968 4.13114i −0.0201374 0.140059i
\(871\) −24.6728 + 15.8563i −0.836007 + 0.537269i
\(872\) 8.36671 9.65570i 0.283333 0.326983i
\(873\) 14.0686 0.476150
\(874\) 24.3553 + 8.81892i 0.823829 + 0.298304i
\(875\) 2.43525 0.0823263
\(876\) 0.769228 0.887737i 0.0259898 0.0299938i
\(877\) 6.11945 3.93273i 0.206639 0.132799i −0.433228 0.901284i \(-0.642626\pi\)
0.639867 + 0.768485i \(0.278989\pi\)
\(878\) −2.37012 16.4846i −0.0799878 0.556327i
\(879\) −0.258202 0.565384i −0.00870895 0.0190699i
\(880\) −0.101567 + 0.706411i −0.00342381 + 0.0238131i
\(881\) 14.7749 4.33831i 0.497780 0.146161i −0.0231989 0.999731i \(-0.507385\pi\)
0.520979 + 0.853569i \(0.325567\pi\)
\(882\) 1.36917 + 0.879913i 0.0461024 + 0.0296282i
\(883\) 3.47562 7.61055i 0.116964 0.256115i −0.842091 0.539336i \(-0.818675\pi\)
0.959055 + 0.283220i \(0.0914027\pi\)
\(884\) −2.96588 0.870862i −0.0997534 0.0292903i
\(885\) −0.00455993 0.00526244i −0.000153280 0.000176895i
\(886\) −14.8829 17.1758i −0.500002 0.577033i
\(887\) −6.42055 1.88524i −0.215581 0.0633003i 0.172159 0.985069i \(-0.444926\pi\)
−0.387740 + 0.921769i \(0.626744\pi\)
\(888\) 3.46004 7.57644i 0.116111 0.254249i
\(889\) 28.4382 + 18.2761i 0.953787 + 0.612961i
\(890\) −24.4453 + 7.17778i −0.819408 + 0.240600i
\(891\) −0.0224141 + 0.155893i −0.000750899 + 0.00522262i
\(892\) −3.28334 7.18951i −0.109934 0.240723i
\(893\) 6.42830 + 44.7098i 0.215115 + 1.49616i
\(894\) −10.4391 + 6.70883i −0.349137 + 0.224377i
\(895\) 16.8412 19.4358i 0.562941 0.649668i
\(896\) 32.2245 1.07654
\(897\) 15.2367 8.51056i 0.508738 0.284159i
\(898\) 43.0746 1.43742
\(899\) 15.1675 17.5043i 0.505866 0.583800i
\(900\) 0.265365 0.170540i 0.00884551 0.00568466i
\(901\) 2.83246 + 19.7002i 0.0943629 + 0.656308i
\(902\) −0.378843 0.829550i −0.0126141 0.0276210i
\(903\) 1.62923 11.3316i 0.0542175 0.377091i
\(904\) −0.0721396 + 0.0211821i −0.00239933 + 0.000704506i
\(905\) −18.9274 12.1639i −0.629168 0.404342i
\(906\) −0.186400 + 0.408159i −0.00619273 + 0.0135602i
\(907\) 22.2279 + 6.52669i 0.738064 + 0.216715i 0.629093 0.777330i \(-0.283426\pi\)
0.108971 + 0.994045i \(0.465245\pi\)
\(908\) 3.08616 + 3.56161i 0.102418 + 0.118196i
\(909\) −3.07804 3.55225i −0.102092 0.117821i
\(910\) −12.9388 3.79916i −0.428915 0.125941i
\(911\) −18.4474 + 40.3941i −0.611189 + 1.33832i 0.310568 + 0.950551i \(0.399481\pi\)
−0.921758 + 0.387767i \(0.873247\pi\)
\(912\) 13.5308 + 8.69570i 0.448048 + 0.287943i
\(913\) −1.07900 + 0.316824i −0.0357097 + 0.0104853i
\(914\) −5.01344 + 34.8693i −0.165830 + 1.15337i
\(915\) −2.09796 4.59389i −0.0693563 0.151869i
\(916\) −0.693463 4.82314i −0.0229127 0.159361i
\(917\) 12.1124 7.78418i 0.399987 0.257056i
\(918\) 2.68330 3.09670i 0.0885622 0.102206i
\(919\) −28.0150 −0.924130 −0.462065 0.886846i \(-0.652891\pi\)
−0.462065 + 0.886846i \(0.652891\pi\)
\(920\) 0.994545 + 12.2530i 0.0327892 + 0.403968i
\(921\) 11.1010 0.365791
\(922\) −7.60597 + 8.77776i −0.250489 + 0.289080i
\(923\) −0.538197 + 0.345878i −0.0177150 + 0.0113847i
\(924\) −0.0172179 0.119753i −0.000566428 0.00393959i
\(925\) −1.34983 2.95571i −0.0443821 0.0971832i
\(926\) 5.28671 36.7699i 0.173732 1.20833i
\(927\) 4.66978 1.37117i 0.153376 0.0450352i
\(928\) −4.08077 2.62255i −0.133958 0.0860896i
\(929\) −23.4616 + 51.3737i −0.769749 + 1.68552i −0.0425444 + 0.999095i \(0.513546\pi\)
−0.727205 + 0.686421i \(0.759181\pi\)
\(930\) 12.3290 + 3.62013i 0.404285 + 0.118709i
\(931\) 2.48615 + 2.86917i 0.0814804 + 0.0940334i
\(932\) −2.35846 2.72181i −0.0772540 0.0891559i
\(933\) −1.77363 0.520785i −0.0580660 0.0170497i
\(934\) 24.1414 52.8623i 0.789931 1.72971i
\(935\) 0.356780 + 0.229289i 0.0116680 + 0.00749855i
\(936\) 8.95027 2.62804i 0.292549 0.0859001i
\(937\) −1.16305 + 8.08917i −0.0379951 + 0.264262i −0.999960 0.00891040i \(-0.997164\pi\)
0.961965 + 0.273172i \(0.0880728\pi\)
\(938\) 12.4063 + 27.1660i 0.405080 + 0.887002i
\(939\) 1.83864 + 12.7880i 0.0600016 + 0.417320i
\(940\) 3.37695 2.17024i 0.110144 0.0707853i
\(941\) 7.39588 8.53530i 0.241099 0.278243i −0.622285 0.782791i \(-0.713795\pi\)
0.863384 + 0.504548i \(0.168341\pi\)
\(942\) 27.8420 0.907141
\(943\) −11.0762 14.5040i −0.360690 0.472315i
\(944\) −0.0315529 −0.00102696
\(945\) 1.59475 1.84044i 0.0518771 0.0598694i
\(946\) 0.947774 0.609097i 0.0308148 0.0198035i
\(947\) −2.23548 15.5481i −0.0726435 0.505247i −0.993363 0.115022i \(-0.963306\pi\)
0.920719 0.390225i \(-0.127603\pi\)
\(948\) −1.12677 2.46728i −0.0365957 0.0801335i
\(949\) 1.92855 13.4133i 0.0626033 0.435416i
\(950\) 5.18231 1.52166i 0.168137 0.0493693i
\(951\) −20.3379 13.0704i −0.659502 0.423836i
\(952\) 6.98284 15.2903i 0.226315 0.495561i
\(953\) −10.4237 3.06067i −0.337657 0.0991450i 0.108509 0.994096i \(-0.465392\pi\)
−0.446165 + 0.894951i \(0.647211\pi\)
\(954\) 7.36504 + 8.49971i 0.238452 + 0.275188i
\(955\) 9.18416 + 10.5991i 0.297193 + 0.342979i
\(956\) 1.96040 + 0.575624i 0.0634037 + 0.0186170i
\(957\) 0.179452 0.392945i 0.00580086 0.0127021i
\(958\) −44.1065 28.3455i −1.42502 0.915802i
\(959\) −0.000483728 0 0.000142035i −1.56204e−5 0 4.58656e-6i
\(960\) −0.906775 + 6.30676i −0.0292660 + 0.203550i
\(961\) 16.7447 + 36.6658i 0.540152 + 1.18277i
\(962\) 2.56067 + 17.8099i 0.0825595 + 0.574214i
\(963\) −12.4593 + 8.00713i −0.401497 + 0.258026i
\(964\) 1.82212 2.10284i 0.0586865 0.0677278i
\(965\) −5.28033 −0.169980
\(966\) −6.36989 16.5906i −0.204948 0.533795i
\(967\) 42.2130 1.35748 0.678740 0.734379i \(-0.262526\pi\)
0.678740 + 0.734379i \(0.262526\pi\)
\(968\) 18.4232 21.2615i 0.592143 0.683370i
\(969\) 8.04074 5.16747i 0.258306 0.166003i
\(970\) −3.04662 21.1897i −0.0978209 0.680360i
\(971\) −2.67402 5.85529i −0.0858135 0.187905i 0.861860 0.507146i \(-0.169299\pi\)
−0.947674 + 0.319241i \(0.896572\pi\)
\(972\) 0.0448918 0.312230i 0.00143991 0.0100148i
\(973\) −49.5252 + 14.5419i −1.58771 + 0.466193i
\(974\) 40.7452 + 26.1853i 1.30556 + 0.839033i
\(975\) 1.51173 3.31022i 0.0484140 0.106012i
\(976\) −21.9577 6.44736i −0.702848 0.206375i
\(977\) 17.9552 + 20.7214i 0.574439 + 0.662938i 0.966400 0.257044i \(-0.0827486\pi\)
−0.391961 + 0.919982i \(0.628203\pi\)
\(978\) −18.3524 21.1798i −0.586845 0.677256i
\(979\) −2.53016 0.742923i −0.0808644 0.0237439i
\(980\) 0.140157 0.306900i 0.00447714 0.00980356i
\(981\) −4.19305 2.69471i −0.133874 0.0860354i
\(982\) 5.37233 1.57746i 0.171438 0.0503387i
\(983\) 1.36963 9.52601i 0.0436845 0.303832i −0.956252 0.292545i \(-0.905498\pi\)
0.999936 0.0112875i \(-0.00359301\pi\)
\(984\) −4.05205 8.87276i −0.129175 0.282853i
\(985\) 1.84324 + 12.8200i 0.0587304 + 0.408479i
\(986\) −9.45461 + 6.07611i −0.301096 + 0.193503i
\(987\) 20.2942 23.4208i 0.645972 0.745492i
\(988\) −4.07449 −0.129627
\(989\) 15.7883 16.0940i 0.502038 0.511761i
\(990\) 0.239655 0.00761675
\(991\) 16.2302 18.7307i 0.515570 0.594999i −0.436946 0.899488i \(-0.643940\pi\)
0.952516 + 0.304489i \(0.0984855\pi\)
\(992\) 12.5637 8.07419i 0.398897 0.256356i
\(993\) −1.34043 9.32293i −0.0425374 0.295854i
\(994\) 0.270623 + 0.592582i 0.00858364 + 0.0187956i
\(995\) 0.132646 0.922574i 0.00420516 0.0292476i
\(996\) 2.16107 0.634548i 0.0684762 0.0201064i
\(997\) −50.7147 32.5924i −1.60615 1.03221i −0.964096 0.265553i \(-0.914445\pi\)
−0.642056 0.766658i \(-0.721918\pi\)
\(998\) −2.14856 + 4.70469i −0.0680114 + 0.148924i
\(999\) −3.11773 0.915447i −0.0986405 0.0289635i
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 345.2.m.a.16.3 30
23.6 even 11 7935.2.a.bp.1.4 15
23.13 even 11 inner 345.2.m.a.151.3 yes 30
23.17 odd 22 7935.2.a.bq.1.4 15
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
345.2.m.a.16.3 30 1.1 even 1 trivial
345.2.m.a.151.3 yes 30 23.13 even 11 inner
7935.2.a.bp.1.4 15 23.6 even 11
7935.2.a.bq.1.4 15 23.17 odd 22