Properties

Label 162.2.g.b.151.1
Level $162$
Weight $2$
Character 162.151
Analytic conductor $1.294$
Analytic rank $0$
Dimension $90$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [162,2,Mod(7,162)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(162, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("162.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 162.g (of order \(27\), degree \(18\), 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: \(1.29357651274\)
Analytic rank: \(0\)
Dimension: \(90\)
Relative dimension: \(5\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 151.1
Character \(\chi\) \(=\) 162.151
Dual form 162.2.g.b.103.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.686242 + 0.727374i) q^{2} +(-1.70169 - 0.322861i) q^{3} +(-0.0581448 - 0.998308i) q^{4} +(0.269488 + 0.0314987i) q^{5} +(1.40261 - 1.01621i) q^{6} +(1.70173 - 0.854643i) q^{7} +(0.766044 + 0.642788i) q^{8} +(2.79152 + 1.09882i) q^{9} +O(q^{10})\) \(q+(-0.686242 + 0.727374i) q^{2} +(-1.70169 - 0.322861i) q^{3} +(-0.0581448 - 0.998308i) q^{4} +(0.269488 + 0.0314987i) q^{5} +(1.40261 - 1.01621i) q^{6} +(1.70173 - 0.854643i) q^{7} +(0.766044 + 0.642788i) q^{8} +(2.79152 + 1.09882i) q^{9} +(-0.207845 + 0.174403i) q^{10} +(0.493535 - 1.14414i) q^{11} +(-0.223370 + 1.71759i) q^{12} +(6.47151 - 1.53378i) q^{13} +(-0.546156 + 1.82429i) q^{14} +(-0.448417 - 0.140608i) q^{15} +(-0.993238 + 0.116093i) q^{16} +(0.874267 + 4.95822i) q^{17} +(-2.71491 + 1.27642i) q^{18} +(0.683318 - 3.87529i) q^{19} +(0.0157760 - 0.270864i) q^{20} +(-3.17176 + 0.904918i) q^{21} +(0.493535 + 1.14414i) q^{22} +(1.82524 + 0.916669i) q^{23} +(-1.09604 - 1.34115i) q^{24} +(-4.79359 - 1.13610i) q^{25} +(-3.32539 + 5.75975i) q^{26} +(-4.39555 - 2.77113i) q^{27} +(-0.952145 - 1.64916i) q^{28} +(-1.75411 - 5.85915i) q^{29} +(0.409997 - 0.229675i) q^{30} +(-1.57574 + 1.03638i) q^{31} +(0.597159 - 0.802123i) q^{32} +(-1.20924 + 1.78764i) q^{33} +(-4.20643 - 2.76662i) q^{34} +(0.485518 - 0.176714i) q^{35} +(0.934648 - 2.85069i) q^{36} +(7.10876 + 2.58738i) q^{37} +(2.34986 + 3.15641i) q^{38} +(-11.5077 + 0.520621i) q^{39} +(0.186193 + 0.197353i) q^{40} +(-0.0646786 - 0.0685554i) q^{41} +(1.51838 - 2.92805i) q^{42} +(0.298821 + 0.401387i) q^{43} +(-1.17090 - 0.426174i) q^{44} +(0.717671 + 0.384048i) q^{45} +(-1.91932 + 0.698574i) q^{46} +(-8.22043 - 5.40667i) q^{47} +(1.72767 + 0.123123i) q^{48} +(-2.01462 + 2.70611i) q^{49} +(4.11593 - 2.70709i) q^{50} +(0.113078 - 8.71963i) q^{51} +(-1.90747 - 6.37138i) q^{52} +(5.41495 + 9.37896i) q^{53} +(5.03205 - 1.29554i) q^{54} +(0.169041 - 0.292787i) q^{55} +(1.85296 + 0.439159i) q^{56} +(-2.41398 + 6.37394i) q^{57} +(5.46554 + 2.74490i) q^{58} +(-0.219677 - 0.509269i) q^{59} +(-0.114297 + 0.455834i) q^{60} +(-0.127382 + 2.18707i) q^{61} +(0.327503 - 1.85736i) q^{62} +(5.68953 - 0.515856i) q^{63} +(0.173648 + 0.984808i) q^{64} +(1.79231 - 0.209491i) q^{65} +(-0.470447 - 2.10632i) q^{66} +(-3.40189 + 11.3631i) q^{67} +(4.89899 - 1.16108i) q^{68} +(-2.81004 - 2.14919i) q^{69} +(-0.204645 + 0.474421i) q^{70} +(3.56320 - 2.98988i) q^{71} +(1.43212 + 2.63610i) q^{72} +(0.592380 + 0.497066i) q^{73} +(-6.76031 + 3.39516i) q^{74} +(7.79042 + 3.48096i) q^{75} +(-3.90846 - 0.456834i) q^{76} +(-0.137968 - 2.36882i) q^{77} +(7.51839 - 8.72768i) q^{78} +(-9.82654 + 10.4155i) q^{79} -0.271323 q^{80} +(6.58519 + 6.13476i) q^{81} +0.0942505 q^{82} +(5.24496 - 5.55933i) q^{83} +(1.08781 + 3.11378i) q^{84} +(0.0794276 + 1.36372i) q^{85} +(-0.497022 - 0.0580935i) q^{86} +(1.09328 + 10.5368i) q^{87} +(1.11351 - 0.559226i) q^{88} +(-8.83168 - 7.41066i) q^{89} +(-0.771842 + 0.258465i) q^{90} +(9.70196 - 8.14091i) q^{91} +(0.808990 - 1.87545i) q^{92} +(3.01604 - 1.25486i) q^{93} +(9.57387 - 2.26905i) q^{94} +(0.306212 - 1.02282i) q^{95} +(-1.27515 + 1.17217i) q^{96} +(3.13232 - 0.366116i) q^{97} +(-0.585834 - 3.32243i) q^{98} +(2.63492 - 2.65159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 90 q - 9 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 90 q - 9 q^{6} - 18 q^{13} - 9 q^{18} - 9 q^{20} - 54 q^{21} + 27 q^{23} - 18 q^{25} - 27 q^{26} - 27 q^{27} - 18 q^{28} - 27 q^{29} + 9 q^{30} + 54 q^{31} - 63 q^{33} - 27 q^{35} - 9 q^{36} - 18 q^{38} - 9 q^{41} - 9 q^{42} - 36 q^{43} + 63 q^{45} + 18 q^{46} - 27 q^{47} - 9 q^{48} - 36 q^{51} + 36 q^{52} - 27 q^{53} - 54 q^{55} - 81 q^{57} - 9 q^{58} - 45 q^{59} - 63 q^{63} + 9 q^{65} + 36 q^{66} + 81 q^{67} + 36 q^{68} + 18 q^{69} - 72 q^{70} + 72 q^{71} + 18 q^{72} - 36 q^{73} + 45 q^{74} + 216 q^{75} - 18 q^{76} + 144 q^{77} + 54 q^{78} - 99 q^{79} + 18 q^{80} + 144 q^{81} + 72 q^{82} + 45 q^{83} + 18 q^{84} - 117 q^{85} + 72 q^{86} + 81 q^{87} - 18 q^{88} + 45 q^{89} + 162 q^{90} - 63 q^{91} + 36 q^{92} + 45 q^{93} - 72 q^{94} + 45 q^{95} + 18 q^{96} + 117 q^{97} + 36 q^{98} - 81 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{20}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.686242 + 0.727374i −0.485246 + 0.514331i
\(3\) −1.70169 0.322861i −0.982473 0.186404i
\(4\) −0.0581448 0.998308i −0.0290724 0.499154i
\(5\) 0.269488 + 0.0314987i 0.120519 + 0.0140866i 0.176138 0.984365i \(-0.443639\pi\)
−0.0556197 + 0.998452i \(0.517713\pi\)
\(6\) 1.40261 1.01621i 0.572614 0.414865i
\(7\) 1.70173 0.854643i 0.643195 0.323025i −0.0971319 0.995272i \(-0.530967\pi\)
0.740327 + 0.672247i \(0.234671\pi\)
\(8\) 0.766044 + 0.642788i 0.270838 + 0.227260i
\(9\) 2.79152 + 1.09882i 0.930507 + 0.366273i
\(10\) −0.207845 + 0.174403i −0.0657265 + 0.0551510i
\(11\) 0.493535 1.14414i 0.148806 0.344972i −0.827467 0.561515i \(-0.810219\pi\)
0.976273 + 0.216543i \(0.0694781\pi\)
\(12\) −0.223370 + 1.71759i −0.0644813 + 0.495825i
\(13\) 6.47151 1.53378i 1.79487 0.425393i 0.808308 0.588760i \(-0.200384\pi\)
0.986565 + 0.163367i \(0.0522354\pi\)
\(14\) −0.546156 + 1.82429i −0.145966 + 0.487562i
\(15\) −0.448417 0.140608i −0.115781 0.0363049i
\(16\) −0.993238 + 0.116093i −0.248310 + 0.0290232i
\(17\) 0.874267 + 4.95822i 0.212041 + 1.20254i 0.885968 + 0.463746i \(0.153495\pi\)
−0.673927 + 0.738798i \(0.735394\pi\)
\(18\) −2.71491 + 1.27642i −0.639911 + 0.300856i
\(19\) 0.683318 3.87529i 0.156764 0.889052i −0.800392 0.599477i \(-0.795375\pi\)
0.957155 0.289575i \(-0.0935138\pi\)
\(20\) 0.0157760 0.270864i 0.00352762 0.0605670i
\(21\) −3.17176 + 0.904918i −0.692135 + 0.197469i
\(22\) 0.493535 + 1.14414i 0.105222 + 0.243932i
\(23\) 1.82524 + 0.916669i 0.380588 + 0.191139i 0.628800 0.777567i \(-0.283546\pi\)
−0.248211 + 0.968706i \(0.579843\pi\)
\(24\) −1.09604 1.34115i −0.223729 0.273762i
\(25\) −4.79359 1.13610i −0.958719 0.227220i
\(26\) −3.32539 + 5.75975i −0.652163 + 1.12958i
\(27\) −4.39555 2.77113i −0.845924 0.533304i
\(28\) −0.952145 1.64916i −0.179938 0.311662i
\(29\) −1.75411 5.85915i −0.325731 1.08802i −0.951408 0.307934i \(-0.900362\pi\)
0.625677 0.780082i \(-0.284823\pi\)
\(30\) 0.409997 0.229675i 0.0748548 0.0419328i
\(31\) −1.57574 + 1.03638i −0.283012 + 0.186140i −0.683076 0.730347i \(-0.739358\pi\)
0.400064 + 0.916487i \(0.368988\pi\)
\(32\) 0.597159 0.802123i 0.105564 0.141797i
\(33\) −1.20924 + 1.78764i −0.210502 + 0.311188i
\(34\) −4.20643 2.76662i −0.721398 0.474471i
\(35\) 0.485518 0.176714i 0.0820674 0.0298701i
\(36\) 0.934648 2.85069i 0.155775 0.475115i
\(37\) 7.10876 + 2.58738i 1.16867 + 0.425362i 0.852188 0.523236i \(-0.175275\pi\)
0.316485 + 0.948598i \(0.397497\pi\)
\(38\) 2.34986 + 3.15641i 0.381198 + 0.512038i
\(39\) −11.5077 + 0.520621i −1.84271 + 0.0833661i
\(40\) 0.186193 + 0.197353i 0.0294397 + 0.0312043i
\(41\) −0.0646786 0.0685554i −0.0101011 0.0107065i 0.722303 0.691576i \(-0.243083\pi\)
−0.732404 + 0.680870i \(0.761602\pi\)
\(42\) 1.51838 2.92805i 0.234291 0.451808i
\(43\) 0.298821 + 0.401387i 0.0455698 + 0.0612109i 0.824324 0.566118i \(-0.191555\pi\)
−0.778754 + 0.627329i \(0.784148\pi\)
\(44\) −1.17090 0.426174i −0.176520 0.0642482i
\(45\) 0.717671 + 0.384048i 0.106984 + 0.0572505i
\(46\) −1.91932 + 0.698574i −0.282988 + 0.102999i
\(47\) −8.22043 5.40667i −1.19907 0.788643i −0.216822 0.976211i \(-0.569569\pi\)
−0.982252 + 0.187568i \(0.939940\pi\)
\(48\) 1.72767 + 0.123123i 0.249368 + 0.0177713i
\(49\) −2.01462 + 2.70611i −0.287803 + 0.386587i
\(50\) 4.11593 2.70709i 0.582081 0.382841i
\(51\) 0.113078 8.71963i 0.0158340 1.22099i
\(52\) −1.90747 6.37138i −0.264518 0.883551i
\(53\) 5.41495 + 9.37896i 0.743800 + 1.28830i 0.950753 + 0.309948i \(0.100312\pi\)
−0.206953 + 0.978351i \(0.566355\pi\)
\(54\) 5.03205 1.29554i 0.684776 0.176301i
\(55\) 0.169041 0.292787i 0.0227935 0.0394794i
\(56\) 1.85296 + 0.439159i 0.247612 + 0.0586851i
\(57\) −2.41398 + 6.37394i −0.319739 + 0.844248i
\(58\) 5.46554 + 2.74490i 0.717660 + 0.360422i
\(59\) −0.219677 0.509269i −0.0285995 0.0663011i 0.903318 0.428972i \(-0.141124\pi\)
−0.931917 + 0.362671i \(0.881865\pi\)
\(60\) −0.114297 + 0.455834i −0.0147557 + 0.0588479i
\(61\) −0.127382 + 2.18707i −0.0163096 + 0.280025i 0.980286 + 0.197583i \(0.0633092\pi\)
−0.996596 + 0.0824426i \(0.973728\pi\)
\(62\) 0.327503 1.85736i 0.0415930 0.235885i
\(63\) 5.68953 0.515856i 0.716813 0.0649918i
\(64\) 0.173648 + 0.984808i 0.0217060 + 0.123101i
\(65\) 1.79231 0.209491i 0.222308 0.0259841i
\(66\) −0.470447 2.10632i −0.0579080 0.259270i
\(67\) −3.40189 + 11.3631i −0.415607 + 1.38823i 0.452462 + 0.891784i \(0.350546\pi\)
−0.868070 + 0.496442i \(0.834639\pi\)
\(68\) 4.89899 1.16108i 0.594090 0.140802i
\(69\) −2.81004 2.14919i −0.338289 0.258732i
\(70\) −0.204645 + 0.474421i −0.0244598 + 0.0567042i
\(71\) 3.56320 2.98988i 0.422874 0.354833i −0.406381 0.913704i \(-0.633209\pi\)
0.829255 + 0.558870i \(0.188765\pi\)
\(72\) 1.43212 + 2.63610i 0.168777 + 0.310667i
\(73\) 0.592380 + 0.497066i 0.0693329 + 0.0581772i 0.676796 0.736171i \(-0.263368\pi\)
−0.607463 + 0.794348i \(0.707813\pi\)
\(74\) −6.76031 + 3.39516i −0.785871 + 0.394679i
\(75\) 7.79042 + 3.48096i 0.899561 + 0.401947i
\(76\) −3.90846 0.456834i −0.448331 0.0524024i
\(77\) −0.137968 2.36882i −0.0157229 0.269953i
\(78\) 7.51839 8.72768i 0.851290 0.988216i
\(79\) −9.82654 + 10.4155i −1.10557 + 1.17184i −0.121774 + 0.992558i \(0.538858\pi\)
−0.983798 + 0.179280i \(0.942623\pi\)
\(80\) −0.271323 −0.0303348
\(81\) 6.58519 + 6.13476i 0.731688 + 0.681640i
\(82\) 0.0942505 0.0104082
\(83\) 5.24496 5.55933i 0.575709 0.610216i −0.372434 0.928059i \(-0.621477\pi\)
0.948144 + 0.317843i \(0.102958\pi\)
\(84\) 1.08781 + 3.11378i 0.118690 + 0.339741i
\(85\) 0.0794276 + 1.36372i 0.00861513 + 0.147916i
\(86\) −0.497022 0.0580935i −0.0535952 0.00626439i
\(87\) 1.09328 + 10.5368i 0.117212 + 1.12966i
\(88\) 1.11351 0.559226i 0.118701 0.0596137i
\(89\) −8.83168 7.41066i −0.936156 0.785528i 0.0407561 0.999169i \(-0.487023\pi\)
−0.976912 + 0.213641i \(0.931468\pi\)
\(90\) −0.771842 + 0.258465i −0.0813593 + 0.0272446i
\(91\) 9.70196 8.14091i 1.01704 0.853399i
\(92\) 0.808990 1.87545i 0.0843430 0.195529i
\(93\) 3.01604 1.25486i 0.312749 0.130123i
\(94\) 9.57387 2.26905i 0.987469 0.234035i
\(95\) 0.306212 1.02282i 0.0314167 0.104939i
\(96\) −1.27515 + 1.17217i −0.130145 + 0.119634i
\(97\) 3.13232 0.366116i 0.318039 0.0371734i 0.0444240 0.999013i \(-0.485855\pi\)
0.273615 + 0.961839i \(0.411781\pi\)
\(98\) −0.585834 3.32243i −0.0591782 0.335616i
\(99\) 2.63492 2.65159i 0.264819 0.266495i
\(100\) −0.855458 + 4.85154i −0.0855458 + 0.485154i
\(101\) 0.656706 11.2752i 0.0653447 1.12192i −0.793125 0.609059i \(-0.791547\pi\)
0.858469 0.512865i \(-0.171416\pi\)
\(102\) 6.26483 + 6.06602i 0.620311 + 0.600626i
\(103\) 1.26506 + 2.93275i 0.124651 + 0.288972i 0.969102 0.246659i \(-0.0793328\pi\)
−0.844452 + 0.535632i \(0.820074\pi\)
\(104\) 5.94335 + 2.98487i 0.582794 + 0.292690i
\(105\) −0.883256 + 0.143958i −0.0861970 + 0.0140489i
\(106\) −10.5380 2.49754i −1.02354 0.242583i
\(107\) −3.58922 + 6.21670i −0.346983 + 0.600992i −0.985712 0.168440i \(-0.946127\pi\)
0.638729 + 0.769432i \(0.279460\pi\)
\(108\) −2.51086 + 4.54924i −0.241608 + 0.437751i
\(109\) −8.59470 14.8865i −0.823223 1.42586i −0.903270 0.429073i \(-0.858840\pi\)
0.0800470 0.996791i \(-0.474493\pi\)
\(110\) 0.0969629 + 0.323879i 0.00924505 + 0.0308806i
\(111\) −11.2616 6.69806i −1.06890 0.635752i
\(112\) −1.59101 + 1.04642i −0.150336 + 0.0988778i
\(113\) −4.23354 + 5.68664i −0.398258 + 0.534954i −0.955342 0.295503i \(-0.904513\pi\)
0.557084 + 0.830456i \(0.311920\pi\)
\(114\) −2.97966 6.12992i −0.279071 0.574120i
\(115\) 0.463006 + 0.304524i 0.0431756 + 0.0283970i
\(116\) −5.74724 + 2.09183i −0.533618 + 0.194221i
\(117\) 19.7507 + 2.82945i 1.82595 + 0.261583i
\(118\) 0.521180 + 0.189694i 0.0479785 + 0.0174628i
\(119\) 5.72528 + 7.69038i 0.524835 + 0.704976i
\(120\) −0.253126 0.395949i −0.0231071 0.0361450i
\(121\) 6.48317 + 6.87176i 0.589379 + 0.624706i
\(122\) −1.50340 1.59351i −0.136112 0.144270i
\(123\) 0.0879294 + 0.137542i 0.00792833 + 0.0124018i
\(124\) 1.12625 + 1.51282i 0.101140 + 0.135855i
\(125\) −2.53083 0.921147i −0.226364 0.0823899i
\(126\) −3.52917 + 4.49242i −0.314404 + 0.400216i
\(127\) 0.353223 0.128563i 0.0313435 0.0114081i −0.326301 0.945266i \(-0.605802\pi\)
0.357644 + 0.933858i \(0.383580\pi\)
\(128\) −0.835488 0.549509i −0.0738474 0.0485702i
\(129\) −0.378910 0.779515i −0.0333612 0.0686325i
\(130\) −1.07758 + 1.44744i −0.0945098 + 0.126949i
\(131\) 15.7818 10.3799i 1.37886 0.906893i 0.379035 0.925382i \(-0.376256\pi\)
0.999829 + 0.0184896i \(0.00588575\pi\)
\(132\) 1.85492 + 1.10326i 0.161450 + 0.0960261i
\(133\) −2.14916 7.17871i −0.186356 0.622473i
\(134\) −5.93071 10.2723i −0.512335 0.887391i
\(135\) −1.09726 0.885240i −0.0944373 0.0761893i
\(136\) −2.51735 + 4.36018i −0.215861 + 0.373883i
\(137\) −21.2886 5.04549i −1.81881 0.431066i −0.827373 0.561654i \(-0.810165\pi\)
−0.991437 + 0.130588i \(0.958314\pi\)
\(138\) 3.49163 0.569087i 0.297227 0.0484439i
\(139\) −16.7788 8.42665i −1.42316 0.714739i −0.440090 0.897954i \(-0.645053\pi\)
−0.983073 + 0.183214i \(0.941350\pi\)
\(140\) −0.204645 0.474421i −0.0172957 0.0400959i
\(141\) 12.2431 + 11.8545i 1.03105 + 0.998333i
\(142\) −0.270456 + 4.64356i −0.0226962 + 0.389679i
\(143\) 1.43906 8.16130i 0.120340 0.682482i
\(144\) −2.90021 0.767314i −0.241684 0.0639428i
\(145\) −0.288158 1.63422i −0.0239302 0.135715i
\(146\) −0.768069 + 0.0897744i −0.0635658 + 0.00742978i
\(147\) 4.30197 3.95453i 0.354820 0.326164i
\(148\) 2.16966 7.24717i 0.178345 0.595714i
\(149\) −20.0058 + 4.74145i −1.63894 + 0.388435i −0.943819 0.330462i \(-0.892796\pi\)
−0.695117 + 0.718897i \(0.744647\pi\)
\(150\) −7.87807 + 3.27777i −0.643242 + 0.267629i
\(151\) −8.25827 + 19.1448i −0.672049 + 1.55798i 0.150074 + 0.988675i \(0.452049\pi\)
−0.822123 + 0.569310i \(0.807211\pi\)
\(152\) 3.01444 2.52941i 0.244503 0.205163i
\(153\) −3.00765 + 14.8016i −0.243154 + 1.19664i
\(154\) 1.81770 + 1.52523i 0.146474 + 0.122907i
\(155\) −0.457289 + 0.229659i −0.0367303 + 0.0184467i
\(156\) 1.18885 + 11.4580i 0.0951845 + 0.917373i
\(157\) −18.3959 2.15018i −1.46816 0.171603i −0.655876 0.754869i \(-0.727700\pi\)
−0.812281 + 0.583266i \(0.801774\pi\)
\(158\) −0.832596 14.2951i −0.0662378 1.13726i
\(159\) −6.18648 17.7084i −0.490620 1.40437i
\(160\) 0.186193 0.197353i 0.0147198 0.0156021i
\(161\) 3.88950 0.306535
\(162\) −8.98129 + 0.579967i −0.705637 + 0.0455665i
\(163\) −9.42363 −0.738116 −0.369058 0.929406i \(-0.620320\pi\)
−0.369058 + 0.929406i \(0.620320\pi\)
\(164\) −0.0646786 + 0.0685554i −0.00505055 + 0.00535327i
\(165\) −0.382185 + 0.443658i −0.0297531 + 0.0345387i
\(166\) 0.444402 + 7.63009i 0.0344923 + 0.592210i
\(167\) 7.01514 + 0.819953i 0.542848 + 0.0634498i 0.383098 0.923708i \(-0.374857\pi\)
0.159750 + 0.987158i \(0.448931\pi\)
\(168\) −3.01138 1.34556i −0.232333 0.103812i
\(169\) 27.9107 14.0173i 2.14698 1.07825i
\(170\) −1.04644 0.878067i −0.0802583 0.0673447i
\(171\) 6.16574 10.0671i 0.471506 0.769851i
\(172\) 0.383333 0.321654i 0.0292288 0.0245259i
\(173\) −4.95149 + 11.4789i −0.376455 + 0.872721i 0.619677 + 0.784857i \(0.287263\pi\)
−0.996132 + 0.0878644i \(0.971996\pi\)
\(174\) −8.41445 6.43558i −0.637898 0.487880i
\(175\) −9.12839 + 2.16347i −0.690041 + 0.163543i
\(176\) −0.357371 + 1.19370i −0.0269379 + 0.0899787i
\(177\) 0.209400 + 0.937544i 0.0157395 + 0.0704701i
\(178\) 11.4510 1.33843i 0.858288 0.100319i
\(179\) 3.97165 + 22.5244i 0.296855 + 1.68355i 0.659565 + 0.751648i \(0.270741\pi\)
−0.362710 + 0.931902i \(0.618148\pi\)
\(180\) 0.341669 0.738787i 0.0254665 0.0550659i
\(181\) 0.424716 2.40868i 0.0315689 0.179036i −0.964946 0.262447i \(-0.915470\pi\)
0.996515 + 0.0834113i \(0.0265815\pi\)
\(182\) −0.736405 + 12.6436i −0.0545860 + 0.937205i
\(183\) 0.922884 3.68059i 0.0682216 0.272077i
\(184\) 0.808990 + 1.87545i 0.0596395 + 0.138260i
\(185\) 1.83423 + 0.921184i 0.134855 + 0.0677268i
\(186\) −1.15698 + 3.05493i −0.0848339 + 0.223998i
\(187\) 6.10439 + 1.44677i 0.446397 + 0.105798i
\(188\) −4.91954 + 8.52090i −0.358794 + 0.621450i
\(189\) −9.84838 0.959096i −0.716365 0.0697640i
\(190\) 0.533837 + 0.924633i 0.0387286 + 0.0670799i
\(191\) 1.58267 + 5.28650i 0.114518 + 0.382517i 0.995962 0.0897706i \(-0.0286134\pi\)
−0.881444 + 0.472288i \(0.843428\pi\)
\(192\) 0.0224596 1.73191i 0.00162089 0.124989i
\(193\) 10.3779 6.82562i 0.747015 0.491319i −0.118033 0.993010i \(-0.537659\pi\)
0.865047 + 0.501691i \(0.167288\pi\)
\(194\) −1.88323 + 2.52961i −0.135208 + 0.181615i
\(195\) −3.11759 0.222176i −0.223256 0.0159104i
\(196\) 2.81867 + 1.85387i 0.201334 + 0.132419i
\(197\) 14.4936 5.27523i 1.03263 0.375845i 0.230545 0.973062i \(-0.425949\pi\)
0.802080 + 0.597217i \(0.203727\pi\)
\(198\) 0.120507 + 3.73621i 0.00856408 + 0.265521i
\(199\) 13.6122 + 4.95444i 0.964944 + 0.351211i 0.775969 0.630771i \(-0.217261\pi\)
0.188975 + 0.981982i \(0.439483\pi\)
\(200\) −2.94183 3.95157i −0.208019 0.279418i
\(201\) 9.45768 18.2382i 0.667094 1.28642i
\(202\) 7.75063 + 8.21518i 0.545332 + 0.578018i
\(203\) −7.99252 8.47158i −0.560965 0.594588i
\(204\) −8.71146 + 0.394115i −0.609924 + 0.0275936i
\(205\) −0.0152707 0.0205121i −0.00106655 0.00143263i
\(206\) −3.00134 1.09240i −0.209114 0.0761111i
\(207\) 4.08794 + 4.56451i 0.284131 + 0.317255i
\(208\) −6.24969 + 2.27470i −0.433338 + 0.157722i
\(209\) −4.09664 2.69440i −0.283371 0.186376i
\(210\) 0.501415 0.741247i 0.0346010 0.0511509i
\(211\) 2.11061 2.83504i 0.145301 0.195172i −0.723515 0.690309i \(-0.757475\pi\)
0.868815 + 0.495137i \(0.164882\pi\)
\(212\) 9.04824 5.95112i 0.621436 0.408725i
\(213\) −7.02879 + 3.93744i −0.481605 + 0.269789i
\(214\) −2.05880 6.87686i −0.140737 0.470093i
\(215\) 0.0678857 + 0.117581i 0.00462977 + 0.00801899i
\(216\) −1.58594 4.94821i −0.107910 0.336683i
\(217\) −1.79576 + 3.11035i −0.121904 + 0.211144i
\(218\) 16.7261 + 3.96415i 1.13283 + 0.268486i
\(219\) −0.847567 1.03711i −0.0572733 0.0700814i
\(220\) −0.302121 0.151731i −0.0203690 0.0102297i
\(221\) 13.2626 + 30.7462i 0.892140 + 2.06821i
\(222\) 12.6001 3.59488i 0.845666 0.241272i
\(223\) −0.677162 + 11.6264i −0.0453461 + 0.778562i 0.896609 + 0.442823i \(0.146023\pi\)
−0.941955 + 0.335739i \(0.891014\pi\)
\(224\) 0.330676 1.87536i 0.0220942 0.125303i
\(225\) −12.1330 8.43875i −0.808870 0.562583i
\(226\) −1.23108 6.98177i −0.0818899 0.464421i
\(227\) 24.6339 2.87929i 1.63501 0.191105i 0.751571 0.659653i \(-0.229297\pi\)
0.883438 + 0.468548i \(0.155223\pi\)
\(228\) 6.50351 + 2.03928i 0.430706 + 0.135055i
\(229\) 3.07611 10.2749i 0.203275 0.678987i −0.794179 0.607683i \(-0.792099\pi\)
0.997455 0.0713035i \(-0.0227159\pi\)
\(230\) −0.539237 + 0.127801i −0.0355562 + 0.00842698i
\(231\) −0.530020 + 4.07556i −0.0348728 + 0.268152i
\(232\) 2.42246 5.61589i 0.159042 0.368701i
\(233\) 14.6151 12.2635i 0.957466 0.803410i −0.0230728 0.999734i \(-0.507345\pi\)
0.980539 + 0.196324i \(0.0629005\pi\)
\(234\) −15.6118 + 12.4245i −1.02058 + 0.812212i
\(235\) −2.04501 1.71596i −0.133402 0.111937i
\(236\) −0.495634 + 0.248917i −0.0322630 + 0.0162031i
\(237\) 20.0845 14.5514i 1.30463 0.945216i
\(238\) −9.52271 1.11304i −0.617265 0.0721480i
\(239\) 1.00152 + 17.1955i 0.0647831 + 1.11228i 0.861443 + 0.507855i \(0.169561\pi\)
−0.796660 + 0.604428i \(0.793402\pi\)
\(240\) 0.461708 + 0.0875994i 0.0298031 + 0.00565452i
\(241\) −5.66871 + 6.00848i −0.365153 + 0.387040i −0.883735 0.467988i \(-0.844979\pi\)
0.518581 + 0.855028i \(0.326460\pi\)
\(242\) −9.44736 −0.607299
\(243\) −9.22530 12.5656i −0.591804 0.806082i
\(244\) 2.19078 0.140250
\(245\) −0.628156 + 0.665807i −0.0401314 + 0.0425368i
\(246\) −0.160386 0.0304298i −0.0102258 0.00194013i
\(247\) −1.52173 26.1270i −0.0968251 1.66242i
\(248\) −1.87326 0.218953i −0.118952 0.0139035i
\(249\) −10.7202 + 7.76689i −0.679365 + 0.492207i
\(250\) 2.40678 1.20873i 0.152218 0.0764468i
\(251\) −12.1672 10.2095i −0.767984 0.644415i 0.172208 0.985061i \(-0.444910\pi\)
−0.940192 + 0.340646i \(0.889354\pi\)
\(252\) −0.845800 5.64991i −0.0532804 0.355911i
\(253\) 1.94962 1.63592i 0.122572 0.102850i
\(254\) −0.148883 + 0.345150i −0.00934177 + 0.0216567i
\(255\) 0.305130 2.34628i 0.0191080 0.146930i
\(256\) 0.973045 0.230616i 0.0608153 0.0144135i
\(257\) 3.75815 12.5531i 0.234427 0.783041i −0.757118 0.653278i \(-0.773393\pi\)
0.991545 0.129763i \(-0.0414216\pi\)
\(258\) 0.827023 + 0.259326i 0.0514882 + 0.0161449i
\(259\) 14.3085 1.67242i 0.889087 0.103919i
\(260\) −0.313350 1.77709i −0.0194331 0.110211i
\(261\) 1.54150 18.2834i 0.0954165 1.13171i
\(262\) −3.28010 + 18.6024i −0.202645 + 1.14926i
\(263\) −1.18342 + 20.3185i −0.0729728 + 1.25290i 0.740805 + 0.671720i \(0.234444\pi\)
−0.813778 + 0.581176i \(0.802593\pi\)
\(264\) −2.07541 + 0.592123i −0.127732 + 0.0364426i
\(265\) 1.16384 + 2.69808i 0.0714941 + 0.165742i
\(266\) 6.69645 + 3.36308i 0.410585 + 0.206204i
\(267\) 12.6362 + 15.4621i 0.773323 + 0.946263i
\(268\) 11.5417 + 2.73543i 0.705021 + 0.167093i
\(269\) −5.12459 + 8.87605i −0.312452 + 0.541183i −0.978893 0.204376i \(-0.934484\pi\)
0.666441 + 0.745558i \(0.267817\pi\)
\(270\) 1.39689 0.190631i 0.0850118 0.0116014i
\(271\) −0.993514 1.72082i −0.0603517 0.104532i 0.834271 0.551355i \(-0.185889\pi\)
−0.894623 + 0.446823i \(0.852556\pi\)
\(272\) −1.44397 4.82319i −0.0875535 0.292449i
\(273\) −19.1381 + 10.7210i −1.15829 + 0.648862i
\(274\) 18.2791 12.0224i 1.10428 0.726297i
\(275\) −3.66567 + 4.92385i −0.221048 + 0.296919i
\(276\) −1.98216 + 2.93025i −0.119312 + 0.176380i
\(277\) −21.8689 14.3834i −1.31397 0.864213i −0.317510 0.948255i \(-0.602847\pi\)
−0.996462 + 0.0840422i \(0.973217\pi\)
\(278\) 17.6437 6.42177i 1.05820 0.385152i
\(279\) −5.53752 + 1.16163i −0.331523 + 0.0695448i
\(280\) 0.485518 + 0.176714i 0.0290152 + 0.0105607i
\(281\) 11.6555 + 15.6561i 0.695309 + 0.933963i 0.999828 0.0185438i \(-0.00590302\pi\)
−0.304519 + 0.952506i \(0.598496\pi\)
\(282\) −17.0244 + 0.770200i −1.01379 + 0.0458648i
\(283\) 3.98059 + 4.21918i 0.236621 + 0.250804i 0.834793 0.550564i \(-0.185587\pi\)
−0.598172 + 0.801368i \(0.704106\pi\)
\(284\) −3.19200 3.38333i −0.189411 0.200763i
\(285\) −0.851308 + 1.64166i −0.0504271 + 0.0972438i
\(286\) 4.94877 + 6.64736i 0.292627 + 0.393066i
\(287\) −0.168656 0.0613859i −0.00995547 0.00362349i
\(288\) 2.54837 1.58297i 0.150164 0.0932777i
\(289\) −7.84480 + 2.85527i −0.461459 + 0.167957i
\(290\) 1.38644 + 0.911874i 0.0814144 + 0.0535471i
\(291\) −5.44845 0.388286i −0.319394 0.0227617i
\(292\) 0.461781 0.620280i 0.0270237 0.0362991i
\(293\) −22.2542 + 14.6368i −1.30010 + 0.855092i −0.995254 0.0973078i \(-0.968977\pi\)
−0.304851 + 0.952400i \(0.598607\pi\)
\(294\) −0.0757717 + 5.84290i −0.00441910 + 0.340765i
\(295\) −0.0431591 0.144161i −0.00251282 0.00839340i
\(296\) 3.78249 + 6.55147i 0.219853 + 0.380796i
\(297\) −5.33992 + 3.66149i −0.309854 + 0.212461i
\(298\) 10.2800 17.8054i 0.595503 1.03144i
\(299\) 13.2180 + 3.13273i 0.764417 + 0.181170i
\(300\) 3.02210 7.97964i 0.174481 0.460705i
\(301\) 0.851557 + 0.427668i 0.0490829 + 0.0246504i
\(302\) −8.25827 19.1448i −0.475210 1.10166i
\(303\) −4.75783 + 18.9749i −0.273330 + 1.09008i
\(304\) −0.228804 + 3.92841i −0.0131228 + 0.225310i
\(305\) −0.103218 + 0.585377i −0.00591023 + 0.0335186i
\(306\) −8.70234 12.3452i −0.497480 0.705727i
\(307\) 2.64875 + 15.0218i 0.151172 + 0.857338i 0.962203 + 0.272335i \(0.0877958\pi\)
−0.811031 + 0.585004i \(0.801093\pi\)
\(308\) −2.35679 + 0.275470i −0.134291 + 0.0156963i
\(309\) −1.20588 5.39908i −0.0686003 0.307143i
\(310\) 0.146763 0.490222i 0.00833556 0.0278427i
\(311\) −7.54747 + 1.78878i −0.427978 + 0.101433i −0.438959 0.898507i \(-0.644653\pi\)
0.0109813 + 0.999940i \(0.496504\pi\)
\(312\) −9.15007 6.99820i −0.518021 0.396195i
\(313\) 3.38888 7.85630i 0.191551 0.444064i −0.795192 0.606358i \(-0.792630\pi\)
0.986743 + 0.162293i \(0.0518891\pi\)
\(314\) 14.1880 11.9052i 0.800678 0.671849i
\(315\) 1.54951 + 0.0401954i 0.0873050 + 0.00226475i
\(316\) 10.9693 + 9.20430i 0.617069 + 0.517783i
\(317\) −7.26843 + 3.65034i −0.408236 + 0.205024i −0.641053 0.767497i \(-0.721502\pi\)
0.232817 + 0.972521i \(0.425206\pi\)
\(318\) 17.1260 + 7.65235i 0.960380 + 0.429123i
\(319\) −7.56942 0.884738i −0.423806 0.0495358i
\(320\) 0.0157760 + 0.270864i 0.000881906 + 0.0151417i
\(321\) 8.11488 9.42011i 0.452928 0.525779i
\(322\) −2.66913 + 2.82912i −0.148745 + 0.157661i
\(323\) 19.8119 1.10236
\(324\) 5.74148 6.93075i 0.318971 0.385042i
\(325\) −32.7643 −1.81744
\(326\) 6.46689 6.85450i 0.358168 0.379636i
\(327\) 9.81929 + 28.1071i 0.543008 + 1.55432i
\(328\) −0.00548018 0.0940911i −0.000302592 0.00519531i
\(329\) −18.6098 2.17517i −1.02599 0.119921i
\(330\) −0.0604335 0.582448i −0.00332675 0.0320627i
\(331\) 25.1810 12.6464i 1.38408 0.695109i 0.408089 0.912942i \(-0.366195\pi\)
0.975986 + 0.217833i \(0.0698989\pi\)
\(332\) −5.85489 4.91284i −0.321329 0.269627i
\(333\) 17.0012 + 15.0340i 0.931660 + 0.823856i
\(334\) −5.41049 + 4.53994i −0.296049 + 0.248415i
\(335\) −1.27469 + 2.95507i −0.0696439 + 0.161453i
\(336\) 3.04526 1.26702i 0.166133 0.0691215i
\(337\) 1.19228 0.282575i 0.0649475 0.0153928i −0.198014 0.980199i \(-0.563449\pi\)
0.262961 + 0.964806i \(0.415301\pi\)
\(338\) −8.95769 + 29.9208i −0.487234 + 1.62748i
\(339\) 9.04019 8.31007i 0.490995 0.451341i
\(340\) 1.35679 0.158586i 0.0735825 0.00860056i
\(341\) 0.408085 + 2.31437i 0.0220991 + 0.125330i
\(342\) 3.09136 + 11.3933i 0.167162 + 0.616077i
\(343\) −3.43033 + 19.4544i −0.185220 + 1.05044i
\(344\) −0.0290960 + 0.499559i −0.00156875 + 0.0269344i
\(345\) −0.689576 0.667693i −0.0371255 0.0359474i
\(346\) −4.95149 11.4789i −0.266194 0.617107i
\(347\) −30.8028 15.4697i −1.65358 0.830458i −0.997099 0.0761143i \(-0.975749\pi\)
−0.656479 0.754344i \(-0.727955\pi\)
\(348\) 10.4554 1.70409i 0.560469 0.0913487i
\(349\) 22.3937 + 5.30741i 1.19871 + 0.284099i 0.781029 0.624495i \(-0.214695\pi\)
0.417680 + 0.908594i \(0.362843\pi\)
\(350\) 4.69063 8.12441i 0.250725 0.434268i
\(351\) −32.6961 11.1916i −1.74519 0.597363i
\(352\) −0.623025 1.07911i −0.0332073 0.0575168i
\(353\) −5.52530 18.4558i −0.294082 0.982303i −0.969546 0.244910i \(-0.921242\pi\)
0.675464 0.737393i \(-0.263943\pi\)
\(354\) −0.825644 0.491070i −0.0438825 0.0261001i
\(355\) 1.05442 0.693501i 0.0559627 0.0368072i
\(356\) −6.88460 + 9.24763i −0.364883 + 0.490123i
\(357\) −7.25975 14.9351i −0.384227 0.790452i
\(358\) −19.1091 12.5683i −1.00995 0.664254i
\(359\) −17.2240 + 6.26901i −0.909046 + 0.330866i −0.753872 0.657021i \(-0.771816\pi\)
−0.155174 + 0.987887i \(0.549594\pi\)
\(360\) 0.302906 + 0.755508i 0.0159646 + 0.0398188i
\(361\) 3.30323 + 1.20228i 0.173854 + 0.0632777i
\(362\) 1.46055 + 1.96187i 0.0767651 + 0.103113i
\(363\) −8.81375 13.7868i −0.462602 0.723619i
\(364\) −8.69126 9.21219i −0.455546 0.482850i
\(365\) 0.143983 + 0.152613i 0.00753639 + 0.00798811i
\(366\) 2.04385 + 3.19706i 0.106834 + 0.167113i
\(367\) −0.704887 0.946827i −0.0367948 0.0494240i 0.783345 0.621587i \(-0.213512\pi\)
−0.820140 + 0.572163i \(0.806104\pi\)
\(368\) −1.91932 0.698574i −0.100051 0.0364157i
\(369\) −0.105222 0.262444i −0.00547763 0.0136623i
\(370\) −1.92877 + 0.702014i −0.100272 + 0.0364960i
\(371\) 17.2305 + 11.3327i 0.894561 + 0.588362i
\(372\) −1.42810 2.93797i −0.0740438 0.152327i
\(373\) 1.97074 2.64717i 0.102041 0.137065i −0.748170 0.663508i \(-0.769067\pi\)
0.850211 + 0.526442i \(0.176474\pi\)
\(374\) −5.24143 + 3.44734i −0.271028 + 0.178258i
\(375\) 4.00930 + 2.38462i 0.207039 + 0.123141i
\(376\) −2.82188 9.42574i −0.145527 0.486095i
\(377\) −20.3384 35.2271i −1.04748 1.81429i
\(378\) 7.45599 6.50528i 0.383495 0.334596i
\(379\) 0.989661 1.71414i 0.0508355 0.0880497i −0.839488 0.543378i \(-0.817145\pi\)
0.890323 + 0.455329i \(0.150478\pi\)
\(380\) −1.03889 0.246223i −0.0532942 0.0126310i
\(381\) −0.642585 + 0.104732i −0.0329206 + 0.00536561i
\(382\) −4.93135 2.47662i −0.252310 0.126715i
\(383\) 1.36101 + 3.15517i 0.0695442 + 0.161222i 0.949443 0.313940i \(-0.101649\pi\)
−0.879899 + 0.475161i \(0.842390\pi\)
\(384\) 1.24433 + 1.20484i 0.0634994 + 0.0614843i
\(385\) 0.0374339 0.642716i 0.00190781 0.0327558i
\(386\) −2.15694 + 12.2326i −0.109785 + 0.622623i
\(387\) 0.393115 + 1.44883i 0.0199831 + 0.0736482i
\(388\) −0.547624 3.10573i −0.0278014 0.157670i
\(389\) −7.37009 + 0.861440i −0.373678 + 0.0436767i −0.300860 0.953668i \(-0.597274\pi\)
−0.0728188 + 0.997345i \(0.523199\pi\)
\(390\) 2.30103 2.11519i 0.116517 0.107107i
\(391\) −2.94930 + 9.85134i −0.149152 + 0.498204i
\(392\) −3.28275 + 0.778025i −0.165804 + 0.0392962i
\(393\) −30.2071 + 12.5680i −1.52374 + 0.633973i
\(394\) −6.10904 + 14.1623i −0.307769 + 0.713488i
\(395\) −2.97621 + 2.49734i −0.149749 + 0.125655i
\(396\) −2.80031 2.47629i −0.140721 0.124438i
\(397\) −1.63802 1.37446i −0.0822097 0.0689822i 0.600757 0.799432i \(-0.294866\pi\)
−0.682966 + 0.730450i \(0.739310\pi\)
\(398\) −12.9450 + 6.50122i −0.648874 + 0.325877i
\(399\) 1.33950 + 12.9098i 0.0670587 + 0.646300i
\(400\) 4.89307 + 0.571918i 0.244654 + 0.0285959i
\(401\) −0.751896 12.9096i −0.0375479 0.644672i −0.963612 0.267306i \(-0.913867\pi\)
0.926064 0.377367i \(-0.123170\pi\)
\(402\) 6.77573 + 19.3951i 0.337943 + 0.967339i
\(403\) −8.60786 + 9.12380i −0.428788 + 0.454489i
\(404\) −11.2943 −0.561913
\(405\) 1.58139 + 1.86067i 0.0785801 + 0.0924574i
\(406\) 11.6468 0.578021
\(407\) 6.46875 6.85647i 0.320644 0.339863i
\(408\) 5.69149 6.60694i 0.281771 0.327092i
\(409\) −1.05733 18.1537i −0.0522816 0.897641i −0.917869 0.396883i \(-0.870092\pi\)
0.865588 0.500758i \(-0.166945\pi\)
\(410\) 0.0253994 + 0.00296876i 0.00125439 + 0.000146617i
\(411\) 34.5977 + 15.4591i 1.70658 + 0.762543i
\(412\) 2.85423 1.43345i 0.140618 0.0706209i
\(413\) −0.809075 0.678895i −0.0398120 0.0334062i
\(414\) −6.12542 0.158898i −0.301048 0.00780939i
\(415\) 1.58857 1.33297i 0.0779796 0.0654327i
\(416\) 2.63424 6.10685i 0.129154 0.299413i
\(417\) 25.8318 + 19.7568i 1.26499 + 0.967495i
\(418\) 4.77112 1.13078i 0.233363 0.0553081i
\(419\) 8.37066 27.9600i 0.408934 1.36593i −0.467322 0.884087i \(-0.654781\pi\)
0.876256 0.481846i \(-0.160034\pi\)
\(420\) 0.195072 + 0.873391i 0.00951852 + 0.0426171i
\(421\) −28.0994 + 3.28435i −1.36948 + 0.160069i −0.768836 0.639446i \(-0.779164\pi\)
−0.600645 + 0.799516i \(0.705090\pi\)
\(422\) 0.613746 + 3.48073i 0.0298767 + 0.169439i
\(423\) −17.0066 24.1256i −0.826888 1.17303i
\(424\) −1.88059 + 10.6654i −0.0913296 + 0.517956i
\(425\) 1.44216 24.7609i 0.0699550 1.20108i
\(426\) 1.95946 7.81459i 0.0949360 0.378618i
\(427\) 1.65239 + 3.83068i 0.0799649 + 0.185380i
\(428\) 6.41488 + 3.22167i 0.310075 + 0.155726i
\(429\) −5.08380 + 13.4234i −0.245448 + 0.648089i
\(430\) −0.132112 0.0313110i −0.00637099 0.00150995i
\(431\) 1.11221 1.92640i 0.0535731 0.0927913i −0.837995 0.545678i \(-0.816272\pi\)
0.891568 + 0.452886i \(0.149606\pi\)
\(432\) 4.68754 + 2.24210i 0.225529 + 0.107873i
\(433\) 12.3517 + 21.3937i 0.593584 + 1.02812i 0.993745 + 0.111673i \(0.0356209\pi\)
−0.400161 + 0.916445i \(0.631046\pi\)
\(434\) −1.03006 3.44064i −0.0494444 0.165156i
\(435\) −0.0372703 + 2.87398i −0.00178697 + 0.137797i
\(436\) −14.3615 + 9.44573i −0.687793 + 0.452368i
\(437\) 4.79957 6.44695i 0.229595 0.308399i
\(438\) 1.33600 + 0.0952107i 0.0638367 + 0.00454934i
\(439\) −10.2024 6.71023i −0.486934 0.320262i 0.282193 0.959358i \(-0.408938\pi\)
−0.769127 + 0.639096i \(0.779309\pi\)
\(440\) 0.317693 0.115631i 0.0151454 0.00551248i
\(441\) −8.59739 + 5.34046i −0.409400 + 0.254307i
\(442\) −31.4653 11.4524i −1.49665 0.544737i
\(443\) −6.78996 9.12050i −0.322601 0.433328i 0.611007 0.791625i \(-0.290765\pi\)
−0.933607 + 0.358297i \(0.883357\pi\)
\(444\) −6.03193 + 11.6320i −0.286263 + 0.552029i
\(445\) −2.14661 2.27527i −0.101759 0.107858i
\(446\) −7.99205 8.47108i −0.378435 0.401117i
\(447\) 35.5745 1.60943i 1.68262 0.0761233i
\(448\) 1.13716 + 1.52747i 0.0537259 + 0.0721664i
\(449\) 23.8642 + 8.68587i 1.12622 + 0.409911i 0.836919 0.547326i \(-0.184354\pi\)
0.289303 + 0.957238i \(0.406577\pi\)
\(450\) 14.4643 3.03424i 0.681855 0.143035i
\(451\) −0.110358 + 0.0401671i −0.00519657 + 0.00189140i
\(452\) 5.92317 + 3.89573i 0.278603 + 0.183240i
\(453\) 20.2342 29.9124i 0.950684 1.40541i
\(454\) −14.8105 + 19.8939i −0.695090 + 0.933668i
\(455\) 2.87099 1.88828i 0.134594 0.0885240i
\(456\) −5.94630 + 3.33104i −0.278461 + 0.155990i
\(457\) 0.944041 + 3.15332i 0.0441604 + 0.147506i 0.977226 0.212199i \(-0.0680625\pi\)
−0.933066 + 0.359705i \(0.882877\pi\)
\(458\) 5.36276 + 9.28857i 0.250585 + 0.434027i
\(459\) 9.89696 24.2168i 0.461951 1.13034i
\(460\) 0.277087 0.479929i 0.0129193 0.0223768i
\(461\) 11.8525 + 2.80910i 0.552028 + 0.130833i 0.497157 0.867660i \(-0.334377\pi\)
0.0548706 + 0.998493i \(0.482525\pi\)
\(462\) −2.60073 3.18234i −0.120997 0.148056i
\(463\) −1.37839 0.692252i −0.0640591 0.0321717i 0.416481 0.909144i \(-0.363263\pi\)
−0.480540 + 0.876973i \(0.659559\pi\)
\(464\) 2.42246 + 5.61589i 0.112460 + 0.260711i
\(465\) 0.852313 0.243169i 0.0395251 0.0112767i
\(466\) −1.10932 + 19.0464i −0.0513885 + 0.882306i
\(467\) 4.46037 25.2960i 0.206402 1.17056i −0.688818 0.724935i \(-0.741870\pi\)
0.895219 0.445626i \(-0.147019\pi\)
\(468\) 1.67626 19.8818i 0.0774853 0.919037i
\(469\) 3.92229 + 22.2444i 0.181115 + 1.02715i
\(470\) 2.65152 0.309918i 0.122305 0.0142954i
\(471\) 30.6101 + 9.59827i 1.41044 + 0.442265i
\(472\) 0.159069 0.531328i 0.00732175 0.0244564i
\(473\) 0.606723 0.143796i 0.0278971 0.00661174i
\(474\) −3.19851 + 24.5947i −0.146912 + 1.12967i
\(475\) −7.67827 + 17.8002i −0.352303 + 0.816731i
\(476\) 7.34448 6.16275i 0.336634 0.282469i
\(477\) 4.81015 + 32.1316i 0.220242 + 1.47121i
\(478\) −13.1948 11.0718i −0.603517 0.506411i
\(479\) 7.75830 3.89636i 0.354486 0.178029i −0.262640 0.964894i \(-0.584593\pi\)
0.617126 + 0.786864i \(0.288297\pi\)
\(480\) −0.380561 + 0.275720i −0.0173702 + 0.0125848i
\(481\) 49.9728 + 5.84099i 2.27857 + 0.266326i
\(482\) −0.480306 8.24654i −0.0218773 0.375619i
\(483\) −6.61873 1.25577i −0.301163 0.0571393i
\(484\) 6.48317 6.87176i 0.294690 0.312353i
\(485\) 0.855655 0.0388533
\(486\) 15.4707 + 1.91278i 0.701763 + 0.0867654i
\(487\) 20.3116 0.920406 0.460203 0.887814i \(-0.347777\pi\)
0.460203 + 0.887814i \(0.347777\pi\)
\(488\) −1.50340 + 1.59351i −0.0680558 + 0.0721349i
\(489\) 16.0361 + 3.04252i 0.725179 + 0.137587i
\(490\) −0.0532233 0.913808i −0.00240438 0.0412817i
\(491\) 30.1909 + 3.52881i 1.36250 + 0.159253i 0.765731 0.643161i \(-0.222377\pi\)
0.596767 + 0.802414i \(0.296452\pi\)
\(492\) 0.132197 0.0957780i 0.00595990 0.00431801i
\(493\) 27.5174 13.8197i 1.23932 0.622410i
\(494\) 20.0484 + 16.8226i 0.902019 + 0.756884i
\(495\) 0.793602 0.631577i 0.0356697 0.0283873i
\(496\) 1.44477 1.21231i 0.0648722 0.0544342i
\(497\) 3.50834 8.13325i 0.157371 0.364826i
\(498\) 1.70722 13.1276i 0.0765023 0.588260i
\(499\) 0.134422 0.0318587i 0.00601757 0.00142619i −0.227606 0.973753i \(-0.573090\pi\)
0.233624 + 0.972327i \(0.424942\pi\)
\(500\) −0.772434 + 2.58011i −0.0345443 + 0.115386i
\(501\) −11.6729 3.66022i −0.521506 0.163527i
\(502\) 15.7757 1.84391i 0.704104 0.0822979i
\(503\) 0.575906 + 3.26613i 0.0256784 + 0.145629i 0.994951 0.100358i \(-0.0319989\pi\)
−0.969273 + 0.245988i \(0.920888\pi\)
\(504\) 4.69002 + 3.26199i 0.208910 + 0.145301i
\(505\) 0.532128 3.01785i 0.0236794 0.134292i
\(506\) −0.147981 + 2.54074i −0.00657857 + 0.112950i
\(507\) −52.0211 + 14.8419i −2.31034 + 0.659150i
\(508\) −0.148883 0.345150i −0.00660563 0.0153136i
\(509\) 10.5474 + 5.29710i 0.467505 + 0.234790i 0.666926 0.745124i \(-0.267610\pi\)
−0.199421 + 0.979914i \(0.563906\pi\)
\(510\) 1.49723 + 1.83206i 0.0662983 + 0.0811248i
\(511\) 1.43289 + 0.339601i 0.0633873 + 0.0150231i
\(512\) −0.500000 + 0.866025i −0.0220971 + 0.0382733i
\(513\) −13.7425 + 15.1405i −0.606745 + 0.668468i
\(514\) 6.55179 + 11.3480i 0.288987 + 0.500541i
\(515\) 0.248542 + 0.830189i 0.0109521 + 0.0365825i
\(516\) −0.756164 + 0.423594i −0.0332883 + 0.0186477i
\(517\) −10.2431 + 6.73697i −0.450490 + 0.296292i
\(518\) −8.60261 + 11.5553i −0.377977 + 0.507711i
\(519\) 12.1320 17.9348i 0.532536 0.787253i
\(520\) 1.50764 + 0.991594i 0.0661146 + 0.0434843i
\(521\) −3.72320 + 1.35513i −0.163116 + 0.0593695i −0.422288 0.906462i \(-0.638773\pi\)
0.259171 + 0.965831i \(0.416551\pi\)
\(522\) 12.2410 + 13.6681i 0.535775 + 0.598235i
\(523\) −18.6206 6.77735i −0.814223 0.296353i −0.0988557 0.995102i \(-0.531518\pi\)
−0.715367 + 0.698749i \(0.753740\pi\)
\(524\) −11.2799 15.1516i −0.492766 0.661900i
\(525\) 16.2322 0.734362i 0.708432 0.0320502i
\(526\) −13.9671 14.8042i −0.608993 0.645495i
\(527\) −6.51623 6.90680i −0.283852 0.300865i
\(528\) 0.993536 1.91593i 0.0432381 0.0833804i
\(529\) −11.2434 15.1026i −0.488845 0.656633i
\(530\) −2.76119 1.00499i −0.119938 0.0436540i
\(531\) −0.0536389 1.66302i −0.00232773 0.0721689i
\(532\) −7.04160 + 2.56293i −0.305292 + 0.111117i
\(533\) −0.523717 0.344454i −0.0226847 0.0149200i
\(534\) −19.9182 1.41948i −0.861944 0.0614268i
\(535\) −1.16307 + 1.56227i −0.0502839 + 0.0675430i
\(536\) −9.91007 + 6.51796i −0.428050 + 0.281533i
\(537\) 0.513693 39.6119i 0.0221675 1.70938i
\(538\) −2.93950 9.81861i −0.126731 0.423310i
\(539\) 2.10189 + 3.64058i 0.0905347 + 0.156811i
\(540\) −0.819942 + 1.14688i −0.0352847 + 0.0493538i
\(541\) −7.31210 + 12.6649i −0.314372 + 0.544507i −0.979304 0.202396i \(-0.935127\pi\)
0.664932 + 0.746904i \(0.268460\pi\)
\(542\) 1.93347 + 0.458240i 0.0830495 + 0.0196831i
\(543\) −1.50040 + 3.96172i −0.0643885 + 0.170014i
\(544\) 4.49918 + 2.25957i 0.192901 + 0.0968783i
\(545\) −1.84727 4.28245i −0.0791282 0.183440i
\(546\) 5.33525 21.2777i 0.228328 0.910603i
\(547\) −1.40815 + 24.1770i −0.0602081 + 1.03373i 0.823985 + 0.566612i \(0.191746\pi\)
−0.884193 + 0.467122i \(0.845291\pi\)
\(548\) −3.79914 + 21.5460i −0.162291 + 0.920398i
\(549\) −2.75878 + 5.96528i −0.117742 + 0.254592i
\(550\) −1.06594 6.04526i −0.0454519 0.257771i
\(551\) −23.9045 + 2.79404i −1.01837 + 0.119030i
\(552\) −0.771144 3.45263i −0.0328221 0.146954i
\(553\) −7.82060 + 26.1226i −0.332566 + 1.11085i
\(554\) 25.4694 6.03636i 1.08209 0.256460i
\(555\) −2.82388 2.15977i −0.119867 0.0916772i
\(556\) −7.43679 + 17.2404i −0.315390 + 0.731157i
\(557\) 10.8786 9.12823i 0.460941 0.386775i −0.382536 0.923941i \(-0.624949\pi\)
0.843477 + 0.537165i \(0.180505\pi\)
\(558\) 2.95514 4.82500i 0.125101 0.204259i
\(559\) 2.54946 + 2.13925i 0.107831 + 0.0904808i
\(560\) −0.461719 + 0.231884i −0.0195112 + 0.00979890i
\(561\) −9.92070 4.43282i −0.418852 0.187154i
\(562\) −19.3863 2.26593i −0.817762 0.0955827i
\(563\) 0.693884 + 11.9135i 0.0292437 + 0.502096i 0.980849 + 0.194771i \(0.0623965\pi\)
−0.951605 + 0.307324i \(0.900566\pi\)
\(564\) 11.1226 12.9116i 0.468347 0.543678i
\(565\) −1.32001 + 1.39913i −0.0555333 + 0.0588619i
\(566\) −5.80056 −0.243816
\(567\) 16.4493 + 4.81174i 0.690805 + 0.202074i
\(568\) 4.65143 0.195170
\(569\) −16.2442 + 17.2179i −0.680993 + 0.721811i −0.972018 0.234905i \(-0.924522\pi\)
0.291025 + 0.956715i \(0.406004\pi\)
\(570\) −0.609900 1.74580i −0.0255459 0.0731234i
\(571\) −0.294103 5.04956i −0.0123078 0.211317i −0.998855 0.0478405i \(-0.984766\pi\)
0.986547 0.163477i \(-0.0522709\pi\)
\(572\) −8.23117 0.962086i −0.344162 0.0402268i
\(573\) −0.986423 9.50698i −0.0412084 0.397160i
\(574\) 0.160389 0.0805506i 0.00669452 0.00336212i
\(575\) −7.70802 6.46780i −0.321447 0.269726i
\(576\) −0.597383 + 2.93992i −0.0248910 + 0.122497i
\(577\) −19.0340 + 15.9714i −0.792395 + 0.664899i −0.946337 0.323181i \(-0.895248\pi\)
0.153942 + 0.988080i \(0.450803\pi\)
\(578\) 3.30658 7.66551i 0.137535 0.318843i
\(579\) −19.8637 + 8.26452i −0.825505 + 0.343462i
\(580\) −1.61470 + 0.382692i −0.0670469 + 0.0158904i
\(581\) 4.17428 13.9431i 0.173178 0.578456i
\(582\) 4.02138 3.69660i 0.166692 0.153229i
\(583\) 13.4033 1.56663i 0.555109 0.0648830i
\(584\) 0.134282 + 0.761550i 0.00555662 + 0.0315131i
\(585\) 5.23346 + 1.38462i 0.216377 + 0.0572472i
\(586\) 4.62533 26.2315i 0.191070 1.08361i
\(587\) −0.562773 + 9.66244i −0.0232281 + 0.398812i 0.966576 + 0.256379i \(0.0825295\pi\)
−0.989804 + 0.142433i \(0.954508\pi\)
\(588\) −4.19797 4.06476i −0.173122 0.167628i
\(589\) 2.93955 + 6.81464i 0.121122 + 0.280792i
\(590\) 0.134477 + 0.0675368i 0.00553632 + 0.00278044i
\(591\) −26.3668 + 4.29742i −1.08459 + 0.176772i
\(592\) −7.36107 1.74460i −0.302538 0.0717028i
\(593\) 4.42945 7.67203i 0.181896 0.315052i −0.760630 0.649185i \(-0.775110\pi\)
0.942526 + 0.334133i \(0.108443\pi\)
\(594\) 1.00121 6.39678i 0.0410800 0.262463i
\(595\) 1.30066 + 2.25281i 0.0533218 + 0.0923560i
\(596\) 5.89666 + 19.6962i 0.241537 + 0.806789i
\(597\) −21.5642 12.8258i −0.882565 0.524924i
\(598\) −11.3494 + 7.46462i −0.464112 + 0.305251i
\(599\) 23.9666 32.1927i 0.979249 1.31536i 0.0304306 0.999537i \(-0.490312\pi\)
0.948818 0.315823i \(-0.102280\pi\)
\(600\) 3.73029 + 7.67416i 0.152289 + 0.313296i
\(601\) −25.1586 16.5471i −1.02624 0.674969i −0.0794561 0.996838i \(-0.525318\pi\)
−0.946784 + 0.321870i \(0.895689\pi\)
\(602\) −0.895449 + 0.325917i −0.0364958 + 0.0132834i
\(603\) −21.9825 + 27.9823i −0.895196 + 1.13953i
\(604\) 19.5926 + 7.13113i 0.797212 + 0.290162i
\(605\) 1.53069 + 2.05607i 0.0622313 + 0.0835911i
\(606\) −10.5368 16.4821i −0.428029 0.669539i
\(607\) −18.4472 19.5529i −0.748750 0.793628i 0.235224 0.971941i \(-0.424418\pi\)
−0.983974 + 0.178313i \(0.942936\pi\)
\(608\) −2.70041 2.86227i −0.109516 0.116080i
\(609\) 10.8657 + 16.9965i 0.440300 + 0.688733i
\(610\) −0.354955 0.476788i −0.0143717 0.0193046i
\(611\) −61.4912 22.3810i −2.48767 0.905437i
\(612\) 14.9515 + 2.14192i 0.604377 + 0.0865821i
\(613\) 11.6813 4.25166i 0.471805 0.171723i −0.0951649 0.995462i \(-0.530338\pi\)
0.566970 + 0.823739i \(0.308116\pi\)
\(614\) −12.7441 8.38195i −0.514311 0.338268i
\(615\) 0.0193635 + 0.0398357i 0.000780813 + 0.00160633i
\(616\) 1.41696 1.90331i 0.0570910 0.0766865i
\(617\) 7.90407 5.19859i 0.318206 0.209287i −0.380350 0.924843i \(-0.624197\pi\)
0.698556 + 0.715555i \(0.253826\pi\)
\(618\) 4.75468 + 2.82795i 0.191261 + 0.113757i
\(619\) −6.89680 23.0369i −0.277206 0.925932i −0.977296 0.211878i \(-0.932042\pi\)
0.700090 0.714054i \(-0.253143\pi\)
\(620\) 0.255860 + 0.443162i 0.0102756 + 0.0177978i
\(621\) −5.48272 9.08723i −0.220014 0.364658i
\(622\) 3.87827 6.71737i 0.155505 0.269342i
\(623\) −21.3626 5.06304i −0.855876 0.202846i
\(624\) 11.3695 1.85307i 0.455143 0.0741820i
\(625\) 21.3589 + 10.7268i 0.854355 + 0.429073i
\(626\) 3.38888 + 7.85630i 0.135447 + 0.314001i
\(627\) 6.10131 + 5.90769i 0.243663 + 0.235931i
\(628\) −1.07691 + 18.4898i −0.0429734 + 0.737825i
\(629\) −6.61382 + 37.5088i −0.263710 + 1.49557i
\(630\) −1.09258 + 1.09949i −0.0435292 + 0.0438047i
\(631\) −7.70070 43.6728i −0.306560 1.73859i −0.616070 0.787692i \(-0.711276\pi\)
0.309510 0.950896i \(-0.399835\pi\)
\(632\) −14.2225 + 1.66238i −0.565742 + 0.0661257i
\(633\) −4.50694 + 4.14294i −0.179135 + 0.164667i
\(634\) 2.33274 7.79188i 0.0926448 0.309455i
\(635\) 0.0992390 0.0235201i 0.00393818 0.000933366i
\(636\) −17.3187 + 7.20567i −0.686732 + 0.285723i
\(637\) −8.88709 + 20.6026i −0.352119 + 0.816304i
\(638\) 5.83799 4.89865i 0.231128 0.193939i
\(639\) 13.2321 4.43100i 0.523453 0.175288i
\(640\) −0.207845 0.174403i −0.00821581 0.00689388i
\(641\) 21.5547 10.8252i 0.851361 0.427570i 0.0310711 0.999517i \(-0.490108\pi\)
0.820290 + 0.571947i \(0.193812\pi\)
\(642\) 1.28317 + 12.3670i 0.0506429 + 0.488087i
\(643\) 40.7995 + 4.76878i 1.60897 + 0.188062i 0.872574 0.488483i \(-0.162449\pi\)
0.736401 + 0.676545i \(0.236524\pi\)
\(644\) −0.226154 3.88292i −0.00891172 0.153008i
\(645\) −0.0775582 0.222005i −0.00305385 0.00874145i
\(646\) −13.5958 + 14.4107i −0.534918 + 0.566980i
\(647\) 8.33601 0.327723 0.163861 0.986483i \(-0.447605\pi\)
0.163861 + 0.986483i \(0.447605\pi\)
\(648\) 1.10120 + 8.93238i 0.0432593 + 0.350897i
\(649\) −0.691094 −0.0271278
\(650\) 22.4842 23.8319i 0.881904 0.934764i
\(651\) 4.06004 4.71308i 0.159126 0.184720i
\(652\) 0.547935 + 9.40769i 0.0214588 + 0.368434i
\(653\) 8.01744 + 0.937104i 0.313747 + 0.0366717i 0.271509 0.962436i \(-0.412477\pi\)
0.0422375 + 0.999108i \(0.486551\pi\)
\(654\) −27.1828 12.1460i −1.06293 0.474944i
\(655\) 4.57996 2.30014i 0.178954 0.0898741i
\(656\) 0.0722001 + 0.0605831i 0.00281894 + 0.00236537i
\(657\) 1.10746 + 2.03849i 0.0432060 + 0.0795291i
\(658\) 14.3530 12.0436i 0.559537 0.469507i
\(659\) −19.6755 + 45.6130i −0.766450 + 1.77683i −0.151191 + 0.988505i \(0.548311\pi\)
−0.615259 + 0.788325i \(0.710948\pi\)
\(660\) 0.465129 + 0.355742i 0.0181051 + 0.0138472i
\(661\) 2.96376 0.702423i 0.115277 0.0273211i −0.172573 0.984997i \(-0.555208\pi\)
0.287849 + 0.957676i \(0.407060\pi\)
\(662\) −8.08163 + 26.9945i −0.314101 + 1.04917i
\(663\) −12.6422 56.6026i −0.490981 2.19826i
\(664\) 7.59134 0.887301i 0.294601 0.0344339i
\(665\) −0.353055 2.00227i −0.0136909 0.0776448i
\(666\) −22.6022 + 2.04929i −0.875819 + 0.0794084i
\(667\) 2.16922 12.3023i 0.0839927 0.476346i
\(668\) 0.410671 7.05095i 0.0158893 0.272809i
\(669\) 4.90603 19.5660i 0.189678 0.756464i
\(670\) −1.27469 2.95507i −0.0492457 0.114164i
\(671\) 2.43945 + 1.22514i 0.0941740 + 0.0472960i
\(672\) −1.16819 + 3.08452i −0.0450639 + 0.118988i
\(673\) 31.9544 + 7.57332i 1.23175 + 0.291930i 0.794419 0.607370i \(-0.207776\pi\)
0.437331 + 0.899301i \(0.355924\pi\)
\(674\) −0.612653 + 1.06115i −0.0235985 + 0.0408738i
\(675\) 17.9222 + 18.2774i 0.689825 + 0.703499i
\(676\) −15.6164 27.0485i −0.600632 1.04033i
\(677\) 2.44012 + 8.15058i 0.0937816 + 0.313252i 0.991990 0.126318i \(-0.0403160\pi\)
−0.898208 + 0.439570i \(0.855131\pi\)
\(678\) −0.159227 + 12.2783i −0.00611508 + 0.471546i
\(679\) 5.01748 3.30005i 0.192553 0.126644i
\(680\) −0.815737 + 1.09572i −0.0312821 + 0.0420191i
\(681\) −42.8489 3.05365i −1.64198 0.117016i
\(682\) −1.96345 1.29138i −0.0751846 0.0494497i
\(683\) −32.4005 + 11.7928i −1.23977 + 0.451240i −0.876933 0.480612i \(-0.840414\pi\)
−0.362838 + 0.931852i \(0.618192\pi\)
\(684\) −10.4086 5.56996i −0.397982 0.212973i
\(685\) −5.57810 2.03026i −0.213128 0.0775724i
\(686\) −11.7966 15.8455i −0.450395 0.604985i
\(687\) −8.55198 + 16.4916i −0.326278 + 0.629195i
\(688\) −0.343399 0.363982i −0.0130920 0.0138767i
\(689\) 49.4281 + 52.3907i 1.88306 + 1.99593i
\(690\) 0.958878 0.0433806i 0.0365039 0.00165147i
\(691\) −17.4480 23.4368i −0.663755 0.891578i 0.334961 0.942232i \(-0.391277\pi\)
−0.998716 + 0.0506543i \(0.983869\pi\)
\(692\) 11.7473 + 4.27568i 0.446567 + 0.162537i
\(693\) 2.21777 6.76423i 0.0842461 0.256952i
\(694\) 32.3904 11.7891i 1.22952 0.447510i
\(695\) −4.25627 2.79939i −0.161450 0.106187i
\(696\) −5.93543 + 8.77441i −0.224982 + 0.332593i
\(697\) 0.283366 0.380626i 0.0107332 0.0144173i
\(698\) −19.2280 + 12.6464i −0.727790 + 0.478675i
\(699\) −28.8298 + 16.1501i −1.09044 + 0.610853i
\(700\) 2.69058 + 8.98715i 0.101694 + 0.339682i
\(701\) 1.62951 + 2.82240i 0.0615458 + 0.106600i 0.895157 0.445752i \(-0.147064\pi\)
−0.833611 + 0.552352i \(0.813730\pi\)
\(702\) 30.5779 16.1022i 1.15409 0.607737i
\(703\) 14.8844 25.7805i 0.561375 0.972329i
\(704\) 1.21246 + 0.287359i 0.0456964 + 0.0108302i
\(705\) 2.92596 + 3.58030i 0.110198 + 0.134842i
\(706\) 17.2159 + 8.64617i 0.647931 + 0.325403i
\(707\) −8.51874 19.7487i −0.320380 0.742725i
\(708\) 0.923782 0.263559i 0.0347179 0.00990516i
\(709\) 0.398378 6.83989i 0.0149614 0.256878i −0.982531 0.186100i \(-0.940415\pi\)
0.997492 0.0707772i \(-0.0225479\pi\)
\(710\) −0.219151 + 1.24286i −0.00822458 + 0.0466439i
\(711\) −38.8758 + 18.2776i −1.45796 + 0.685462i
\(712\) −2.00198 11.3538i −0.0750273 0.425501i
\(713\) −3.82613 + 0.447210i −0.143290 + 0.0167481i
\(714\) 15.8454 + 4.96857i 0.592998 + 0.185944i
\(715\) 0.644879 2.15405i 0.0241171 0.0805568i
\(716\) 22.2553 5.27461i 0.831720 0.197121i
\(717\) 3.84746 29.5848i 0.143686 1.10486i
\(718\) 7.25989 16.8303i 0.270937 0.628102i
\(719\) −32.0452 + 26.8891i −1.19508 + 1.00279i −0.195326 + 0.980738i \(0.562577\pi\)
−0.999757 + 0.0220555i \(0.992979\pi\)
\(720\) −0.757404 0.298135i −0.0282268 0.0111108i
\(721\) 4.65926 + 3.90958i 0.173520 + 0.145600i
\(722\) −3.14132 + 1.57763i −0.116908 + 0.0587133i
\(723\) 11.5863 8.39439i 0.430899 0.312191i
\(724\) −2.42930 0.283945i −0.0902843 0.0105527i
\(725\) 1.75192 + 30.0792i 0.0650645 + 1.11711i
\(726\) 16.0765 + 3.05018i 0.596655 + 0.113203i
\(727\) −12.2805 + 13.0166i −0.455459 + 0.482759i −0.913884 0.405974i \(-0.866932\pi\)
0.458425 + 0.888733i \(0.348414\pi\)
\(728\) 12.6650 0.469396
\(729\) 11.6417 + 24.3613i 0.431175 + 0.902269i
\(730\) −0.209813 −0.00776554
\(731\) −1.72891 + 1.83254i −0.0639461 + 0.0677790i
\(732\) −3.72803 0.707315i −0.137792 0.0261431i
\(733\) 2.90117 + 49.8111i 0.107157 + 1.83982i 0.441378 + 0.897321i \(0.354490\pi\)
−0.334221 + 0.942495i \(0.608473\pi\)
\(734\) 1.17242 + 0.137036i 0.0432748 + 0.00505810i
\(735\) 1.28389 0.930192i 0.0473571 0.0343106i
\(736\) 1.82524 0.916669i 0.0672792 0.0337889i
\(737\) 11.3221 + 9.50035i 0.417054 + 0.349950i
\(738\) 0.263102 + 0.103564i 0.00968493 + 0.00381226i
\(739\) 15.2533 12.7991i 0.561103 0.470822i −0.317577 0.948233i \(-0.602869\pi\)
0.878680 + 0.477411i \(0.158425\pi\)
\(740\) 0.812974 1.88469i 0.0298855 0.0692824i
\(741\) −5.84587 + 44.9515i −0.214754 + 1.65133i
\(742\) −20.0673 + 4.75605i −0.736695 + 0.174600i
\(743\) 9.12533 30.4807i 0.334776 1.11823i −0.610516 0.792004i \(-0.709038\pi\)
0.945292 0.326225i \(-0.105777\pi\)
\(744\) 3.11703 + 0.977394i 0.114276 + 0.0358330i
\(745\) −5.54067 + 0.647611i −0.202994 + 0.0237266i
\(746\) 0.573074 + 3.25006i 0.0209817 + 0.118993i
\(747\) 20.7501 9.75573i 0.759207 0.356944i
\(748\) 1.08938 6.17818i 0.0398317 0.225897i
\(749\) −0.794829 + 13.6467i −0.0290424 + 0.498639i
\(750\) −4.48585 + 1.27983i −0.163800 + 0.0467329i
\(751\) −3.66595 8.49862i −0.133772 0.310119i 0.838143 0.545451i \(-0.183642\pi\)
−0.971915 + 0.235332i \(0.924382\pi\)
\(752\) 8.79253 + 4.41577i 0.320630 + 0.161027i
\(753\) 17.4085 + 21.3017i 0.634402 + 0.776275i
\(754\) 39.5803 + 9.38071i 1.44143 + 0.341625i
\(755\) −2.82854 + 4.89918i −0.102941 + 0.178299i
\(756\) −0.384841 + 9.88749i −0.0139965 + 0.359605i
\(757\) −6.13904 10.6331i −0.223127 0.386468i 0.732629 0.680628i \(-0.238293\pi\)
−0.955756 + 0.294161i \(0.904960\pi\)
\(758\) 0.567676 + 1.89617i 0.0206189 + 0.0688720i
\(759\) −3.84583 + 2.15439i −0.139595 + 0.0781993i
\(760\) 0.892029 0.586697i 0.0323573 0.0212817i
\(761\) −1.44141 + 1.93615i −0.0522511 + 0.0701854i −0.827481 0.561494i \(-0.810227\pi\)
0.775230 + 0.631680i \(0.217634\pi\)
\(762\) 0.364789 0.539271i 0.0132149 0.0195357i
\(763\) −27.3485 17.9874i −0.990083 0.651188i
\(764\) 5.18553 1.88738i 0.187606 0.0682829i
\(765\) −1.27676 + 3.89413i −0.0461613 + 0.140793i
\(766\) −3.22897 1.17525i −0.116667 0.0424634i
\(767\) −2.20275 2.95880i −0.0795365 0.106836i
\(768\) −1.73028 + 0.0782797i −0.0624361 + 0.00282467i
\(769\) 20.3985 + 21.6211i 0.735587 + 0.779677i 0.981877 0.189519i \(-0.0606929\pi\)
−0.246290 + 0.969196i \(0.579211\pi\)
\(770\) 0.441806 + 0.468287i 0.0159216 + 0.0168759i
\(771\) −10.4481 + 20.1482i −0.376280 + 0.725619i
\(772\) −7.41749 9.96342i −0.266961 0.358592i
\(773\) 8.71301 + 3.17128i 0.313385 + 0.114063i 0.493924 0.869505i \(-0.335562\pi\)
−0.180539 + 0.983568i \(0.557784\pi\)
\(774\) −1.32361 0.708307i −0.0475763 0.0254596i
\(775\) 8.73091 3.17779i 0.313624 0.114150i
\(776\) 2.63483 + 1.73296i 0.0945849 + 0.0622095i
\(777\) −24.8886 1.77370i −0.892875 0.0636311i
\(778\) 4.43107 5.95197i 0.158862 0.213388i
\(779\) −0.309868 + 0.203803i −0.0111022 + 0.00730201i
\(780\) −0.0405286 + 3.12524i −0.00145116 + 0.111901i
\(781\) −1.66229 5.55242i −0.0594813 0.198681i
\(782\) −5.14167 8.90564i −0.183866 0.318465i
\(783\) −8.52615 + 30.6151i −0.304700 + 1.09409i
\(784\) 1.68684 2.92170i 0.0602443 0.104346i
\(785\) −4.88976 1.15890i −0.174523 0.0413627i
\(786\) 11.5877 30.5965i 0.413320 1.09134i
\(787\) −9.78780 4.91562i −0.348897 0.175223i 0.265716 0.964051i \(-0.414392\pi\)
−0.614613 + 0.788828i \(0.710688\pi\)
\(788\) −6.10904 14.1623i −0.217625 0.504512i
\(789\) 8.57388 34.1939i 0.305238 1.21733i
\(790\) 0.225902 3.87859i 0.00803725 0.137994i
\(791\) −2.34432 + 13.2953i −0.0833545 + 0.472727i
\(792\) 3.72288 0.337544i 0.132287 0.0119941i
\(793\) 2.53012 + 14.3490i 0.0898471 + 0.509548i
\(794\) 2.12382 0.248239i 0.0753716 0.00880968i
\(795\) −1.10939 4.96707i −0.0393461 0.176164i
\(796\) 4.15458 13.8773i 0.147255 0.491866i
\(797\) 21.8153 5.17032i 0.772737 0.183142i 0.174712 0.984620i \(-0.444100\pi\)
0.598025 + 0.801477i \(0.295952\pi\)
\(798\) −10.3095 7.88495i −0.364952 0.279124i
\(799\) 19.6206 45.4856i 0.694126 1.60916i
\(800\) −3.77383 + 3.16662i −0.133425 + 0.111957i
\(801\) −16.5109 30.3914i −0.583382 1.07383i
\(802\) 9.90605 + 8.31216i 0.349795 + 0.293513i
\(803\) 0.861075 0.432448i 0.0303867 0.0152608i
\(804\) −18.7573 8.38123i −0.661518 0.295583i
\(805\) 1.04817 + 0.122514i 0.0369433 + 0.00431805i
\(806\) −0.729338 12.5223i −0.0256899 0.441078i
\(807\) 11.5862 13.4498i 0.407854 0.473455i
\(808\) 7.75063 8.21518i 0.272666 0.289009i
\(809\) 14.8456 0.521942 0.260971 0.965347i \(-0.415957\pi\)
0.260971 + 0.965347i \(0.415957\pi\)
\(810\) −2.43862 0.126604i −0.0856844 0.00444842i
\(811\) 47.7585 1.67703 0.838513 0.544882i \(-0.183425\pi\)
0.838513 + 0.544882i \(0.183425\pi\)
\(812\) −7.99252 + 8.47158i −0.280482 + 0.297294i
\(813\) 1.13507 + 3.24907i 0.0398087 + 0.113950i
\(814\) 0.548093 + 9.41039i 0.0192107 + 0.329834i
\(815\) −2.53956 0.296832i −0.0889568 0.0103976i
\(816\) 0.899974 + 8.67380i 0.0315054 + 0.303644i
\(817\) 1.75968 0.883744i 0.0615634 0.0309183i
\(818\) 13.9301 + 11.6887i 0.487054 + 0.408687i
\(819\) 36.0286 12.0648i 1.25894 0.421579i
\(820\) −0.0195895 + 0.0164376i −0.000684096 + 0.000574025i
\(821\) 14.8420 34.4077i 0.517991 1.20084i −0.435712 0.900086i \(-0.643503\pi\)
0.953703 0.300752i \(-0.0972375\pi\)
\(822\) −34.9870 + 14.5568i −1.22031 + 0.507725i
\(823\) −39.9361 + 9.46502i −1.39208 + 0.329930i −0.857195 0.514992i \(-0.827795\pi\)
−0.534889 + 0.844922i \(0.679647\pi\)
\(824\) −0.916039 + 3.05978i −0.0319117 + 0.106593i
\(825\) 7.82756 7.19538i 0.272521 0.250511i
\(826\) 1.04903 0.122614i 0.0365005 0.00426629i
\(827\) 1.67326 + 9.48951i 0.0581848 + 0.329983i 0.999981 0.00620250i \(-0.00197433\pi\)
−0.941796 + 0.336185i \(0.890863\pi\)
\(828\) 4.31909 4.34642i 0.150099 0.151049i
\(829\) 5.18881 29.4272i 0.180215 1.02205i −0.751736 0.659465i \(-0.770783\pi\)
0.931951 0.362585i \(-0.118106\pi\)
\(830\) −0.120576 + 2.07022i −0.00418527 + 0.0718583i
\(831\) 32.5703 + 31.5367i 1.12985 + 1.09400i
\(832\) 2.63424 + 6.10685i 0.0913258 + 0.211717i
\(833\) −15.1788 7.62308i −0.525914 0.264124i
\(834\) −32.0974 + 5.23144i −1.11144 + 0.181150i
\(835\) 1.86467 + 0.441935i 0.0645296 + 0.0152938i
\(836\) −2.45165 + 4.24638i −0.0847920 + 0.146864i
\(837\) 9.79821 0.188887i 0.338676 0.00652888i
\(838\) 14.5930 + 25.2759i 0.504108 + 0.873141i
\(839\) 6.60439 + 22.0602i 0.228009 + 0.761602i 0.993058 + 0.117630i \(0.0375296\pi\)
−0.765049 + 0.643972i \(0.777285\pi\)
\(840\) −0.769148 0.457467i −0.0265381 0.0157841i
\(841\) −7.02356 + 4.61947i −0.242192 + 0.159292i
\(842\) 16.8940 22.6926i 0.582207 0.782039i
\(843\) −14.7794 30.4049i −0.509029 1.04720i
\(844\) −2.95297 1.94220i −0.101645 0.0668532i
\(845\) 7.96314 2.89834i 0.273940 0.0997061i
\(846\) 29.2189 + 4.18586i 1.00457 + 0.143913i
\(847\) 16.9055 + 6.15311i 0.580881 + 0.211424i
\(848\) −6.46716 8.68691i −0.222083 0.298310i
\(849\) −5.41153 8.46492i −0.185723 0.290515i
\(850\) 17.0208 + 18.0410i 0.583808 + 0.618800i
\(851\) 10.6034 + 11.2390i 0.363480 + 0.385266i
\(852\) 4.33947 + 6.78796i 0.148668 + 0.232552i
\(853\) −29.5922 39.7492i −1.01322 1.36099i −0.931262 0.364351i \(-0.881291\pi\)
−0.0819560 0.996636i \(-0.526117\pi\)
\(854\) −3.92028 1.42686i −0.134149 0.0488263i
\(855\) 1.97869 2.51875i 0.0676699 0.0861396i
\(856\) −6.74552 + 2.45517i −0.230557 + 0.0839159i
\(857\) −8.53383 5.61279i −0.291510 0.191729i 0.395327 0.918540i \(-0.370631\pi\)
−0.686837 + 0.726811i \(0.741002\pi\)
\(858\) −6.27513 12.9095i −0.214229 0.440724i
\(859\) 7.83641 10.5261i 0.267375 0.359147i −0.648077 0.761575i \(-0.724426\pi\)
0.915451 + 0.402428i \(0.131834\pi\)
\(860\) 0.113435 0.0746076i 0.00386811 0.00254410i
\(861\) 0.267182 + 0.158912i 0.00910555 + 0.00541572i
\(862\) 0.637969 + 2.13096i 0.0217293 + 0.0725809i
\(863\) 8.62629 + 14.9412i 0.293642 + 0.508604i 0.974668 0.223656i \(-0.0717992\pi\)
−0.681026 + 0.732259i \(0.738466\pi\)
\(864\) −4.84763 + 1.87097i −0.164920 + 0.0636517i
\(865\) −1.69594 + 2.93745i −0.0576636 + 0.0998763i
\(866\) −24.0375 5.69699i −0.816827 0.193592i
\(867\) 14.2713 2.32602i 0.484679 0.0789959i
\(868\) 3.20950 + 1.61187i 0.108937 + 0.0547105i
\(869\) 7.06710 + 16.3834i 0.239735 + 0.555768i
\(870\) −2.06488 1.99936i −0.0700061 0.0677845i
\(871\) −4.58691 + 78.7542i −0.155422 + 2.66849i
\(872\) 2.98491 16.9283i 0.101082 0.573263i
\(873\) 9.14623 + 2.41983i 0.309553 + 0.0818990i
\(874\) 1.39567 + 7.91525i 0.0472093 + 0.267737i
\(875\) −5.09406 + 0.595410i −0.172211 + 0.0201285i
\(876\) −0.986074 + 0.906435i −0.0333164 + 0.0306256i
\(877\) 7.67514 25.6367i 0.259171 0.865691i −0.725042 0.688704i \(-0.758180\pi\)
0.984213 0.176987i \(-0.0566350\pi\)
\(878\) 11.8822 2.81612i 0.401003 0.0950396i
\(879\) 42.5955 17.7224i 1.43671 0.597761i
\(880\) −0.133907 + 0.310432i −0.00451401 + 0.0104647i
\(881\) −18.0552 + 15.1501i −0.608294 + 0.510419i −0.894100 0.447868i \(-0.852183\pi\)
0.285805 + 0.958288i \(0.407739\pi\)
\(882\) 2.01538 9.91836i 0.0678615 0.333969i
\(883\) −28.1771 23.6434i −0.948234 0.795663i 0.0307654 0.999527i \(-0.490206\pi\)
−0.978999 + 0.203864i \(0.934650\pi\)
\(884\) 29.9230 15.0279i 1.00642 0.505444i
\(885\) 0.0268995 + 0.259253i 0.000904217 + 0.00871469i
\(886\) 11.2936 + 1.32003i 0.379415 + 0.0443472i
\(887\) 1.35757 + 23.3085i 0.0455827 + 0.782624i 0.941211 + 0.337820i \(0.109690\pi\)
−0.895628 + 0.444804i \(0.853273\pi\)
\(888\) −4.32143 12.3698i −0.145018 0.415104i
\(889\) 0.491217 0.520659i 0.0164749 0.0174624i
\(890\) 3.12806 0.104853
\(891\) 10.2691 4.50668i 0.344027 0.150979i
\(892\) 11.6461 0.389941
\(893\) −26.5696 + 28.1621i −0.889116 + 0.942408i
\(894\) −23.2421 + 26.9804i −0.777331 + 0.902360i
\(895\) 0.360826 + 6.19515i 0.0120611 + 0.207081i
\(896\) −1.89141 0.221074i −0.0631877 0.00738558i
\(897\) −21.4816 9.59851i −0.717249 0.320485i
\(898\) −22.6945 + 11.3976i −0.757325 + 0.380343i
\(899\) 8.83635 + 7.41458i 0.294709 + 0.247290i
\(900\) −7.71900 + 12.6032i −0.257300 + 0.420106i
\(901\) −41.7688 + 35.0482i −1.39152 + 1.16762i
\(902\) 0.0465159 0.107836i 0.00154881 0.00359055i
\(903\) −1.31101 1.00269i −0.0436278 0.0333676i
\(904\) −6.89838 + 1.63495i −0.229437 + 0.0543775i
\(905\) 0.190326 0.635734i 0.00632665 0.0211325i
\(906\) 7.87194 + 35.2449i 0.261528 + 1.17093i
\(907\) −5.52262 + 0.645502i −0.183376 + 0.0214335i −0.207285 0.978281i \(-0.566463\pi\)
0.0239094 + 0.999714i \(0.492389\pi\)
\(908\) −4.30675 24.4248i −0.142925 0.810565i
\(909\) 14.2226 30.7534i 0.471735 1.02002i
\(910\) −0.596708 + 3.38410i −0.0197807 + 0.112182i
\(911\) 0.723294 12.4185i 0.0239638 0.411443i −0.964900 0.262618i \(-0.915414\pi\)
0.988864 0.148825i \(-0.0475490\pi\)
\(912\) 1.65768 6.61108i 0.0548914 0.218915i
\(913\) −3.77210 8.74471i −0.124838 0.289408i
\(914\) −2.94148 1.47727i −0.0972955 0.0488636i
\(915\) 0.364640 0.962807i 0.0120546 0.0318294i
\(916\) −10.4364 2.47348i −0.344829 0.0817259i
\(917\) 17.9854 31.1516i 0.593930 1.02872i
\(918\) 10.8230 + 23.8174i 0.357211 + 0.786090i
\(919\) 14.0051 + 24.2575i 0.461986 + 0.800182i 0.999060 0.0433526i \(-0.0138039\pi\)
−0.537074 + 0.843535i \(0.680471\pi\)
\(920\) 0.158939 + 0.530894i 0.00524007 + 0.0175030i
\(921\) 0.342589 26.4176i 0.0112887 0.870491i
\(922\) −10.1770 + 6.69350i −0.335161 + 0.220439i
\(923\) 18.4735 24.8142i 0.608062 0.816769i
\(924\) 4.09948 + 0.292151i 0.134863 + 0.00961106i
\(925\) −31.1370 20.4791i −1.02378 0.673349i
\(926\) 1.44943 0.527550i 0.0476313 0.0173364i
\(927\) 0.308893 + 9.57691i 0.0101454 + 0.314547i
\(928\) −5.74724 2.09183i −0.188663 0.0686675i
\(929\) −2.52959 3.39782i −0.0829931 0.111479i 0.758688 0.651455i \(-0.225841\pi\)
−0.841681 + 0.539976i \(0.818433\pi\)
\(930\) −0.408018 + 0.786823i −0.0133794 + 0.0258009i
\(931\) 9.11033 + 9.65638i 0.298579 + 0.316475i
\(932\) −13.0926 13.8773i −0.428861 0.454566i
\(933\) 13.4210 0.607180i 0.439384 0.0198782i
\(934\) 15.3388 + 20.6036i 0.501900 + 0.674169i
\(935\) 1.59949 + 0.582167i 0.0523089 + 0.0190389i
\(936\) 13.3112 + 14.8630i 0.435089 + 0.485812i
\(937\) 24.0110 8.73930i 0.784406 0.285501i 0.0813975 0.996682i \(-0.474062\pi\)
0.703009 + 0.711181i \(0.251839\pi\)
\(938\) −18.8716 12.4121i −0.616181 0.405269i
\(939\) −8.30332 + 12.2749i −0.270969 + 0.400576i
\(940\) −1.59416 + 2.14132i −0.0519956 + 0.0698422i
\(941\) 13.7972 9.07454i 0.449775 0.295822i −0.304341 0.952563i \(-0.598436\pi\)
0.754116 + 0.656742i \(0.228066\pi\)
\(942\) −27.9874 + 15.6782i −0.911880 + 0.510824i
\(943\) −0.0552114 0.184419i −0.00179793 0.00600550i
\(944\) 0.277314 + 0.480322i 0.00902581 + 0.0156332i
\(945\) −2.62381 0.568676i −0.0853526 0.0184990i
\(946\) −0.311765 + 0.539993i −0.0101364 + 0.0175567i
\(947\) 6.19152 + 1.46742i 0.201197 + 0.0476846i 0.329979 0.943988i \(-0.392958\pi\)
−0.128781 + 0.991673i \(0.541107\pi\)
\(948\) −15.6946 19.2044i −0.509737 0.623731i
\(949\) 4.59598 + 2.30819i 0.149192 + 0.0749270i
\(950\) −7.67827 17.8002i −0.249116 0.577516i
\(951\) 13.5472 3.86507i 0.439298 0.125334i
\(952\) −0.557466 + 9.57131i −0.0180676 + 0.310208i
\(953\) 0.331010 1.87725i 0.0107225 0.0608101i −0.978977 0.203970i \(-0.934615\pi\)
0.989700 + 0.143160i \(0.0457265\pi\)
\(954\) −26.6726 18.5513i −0.863558 0.600620i
\(955\) 0.259994 + 1.47450i 0.00841322 + 0.0477137i
\(956\) 17.1081 1.99966i 0.553317 0.0646735i
\(957\) 12.5952 + 3.94942i 0.407145 + 0.127667i
\(958\) −2.48995 + 8.31703i −0.0804468 + 0.268711i
\(959\) −40.5397 + 9.60808i −1.30909 + 0.310261i
\(960\) 0.0606053 0.466021i 0.00195603 0.0150407i
\(961\) −10.8696 + 25.1986i −0.350632 + 0.812857i
\(962\) −38.5420 + 32.3406i −1.24264 + 1.04270i
\(963\) −16.8504 + 13.4102i −0.542997 + 0.432137i
\(964\) 6.32792 + 5.30975i 0.203809 + 0.171016i
\(965\) 3.01171 1.51254i 0.0969503 0.0486903i
\(966\) 5.45546 3.95253i 0.175527 0.127171i
\(967\) −7.89643 0.922960i −0.253932 0.0296804i −0.0118255 0.999930i \(-0.503764\pi\)
−0.242106 + 0.970250i \(0.577838\pi\)
\(968\) 0.549315 + 9.43138i 0.0176557 + 0.303136i
\(969\) −33.7138 6.39649i −1.08304 0.205485i
\(970\) −0.587186 + 0.622381i −0.0188534 + 0.0199835i
\(971\) −55.8599 −1.79263 −0.896315 0.443418i \(-0.853766\pi\)
−0.896315 + 0.443418i \(0.853766\pi\)
\(972\) −12.0079 + 9.94032i −0.385154 + 0.318836i
\(973\) −35.7549 −1.14625
\(974\) −13.9387 + 14.7741i −0.446624 + 0.473393i
\(975\) 55.7548 + 10.5783i 1.78558 + 0.338777i
\(976\) −0.127382 2.18707i −0.00407741 0.0700064i
\(977\) −10.2189 1.19442i −0.326931 0.0382128i −0.0489557 0.998801i \(-0.515589\pi\)
−0.277975 + 0.960588i \(0.589663\pi\)
\(978\) −13.2177 + 9.57636i −0.422656 + 0.306218i
\(979\) −12.8376 + 6.44728i −0.410291 + 0.206056i
\(980\) 0.701204 + 0.588380i 0.0223991 + 0.0187951i
\(981\) −7.63476 50.9999i −0.243759 1.62830i
\(982\) −23.2850 + 19.5385i −0.743056 + 0.623498i
\(983\) 22.5355 52.2431i 0.718770 1.66630i −0.0266003 0.999646i \(-0.508468\pi\)
0.745371 0.666650i \(-0.232273\pi\)
\(984\) −0.0210527 + 0.161884i −0.000671136 + 0.00516066i
\(985\) 4.07201 0.965085i 0.129745 0.0307502i
\(986\) −8.83145 + 29.4991i −0.281251 + 0.939442i
\(987\) 30.9659 + 9.70984i 0.985654 + 0.309067i
\(988\) −25.9943 + 3.03830i −0.826990 + 0.0966612i
\(989\) 0.177481 + 1.00655i 0.00564358 + 0.0320063i
\(990\) −0.0852101 + 1.01066i −0.00270816 + 0.0321209i
\(991\) 10.0544 57.0216i 0.319390 1.81135i −0.227085 0.973875i \(-0.572919\pi\)
0.546475 0.837476i \(-0.315970\pi\)
\(992\) −0.109662 + 1.88283i −0.00348177 + 0.0597798i
\(993\) −46.9334 + 13.3903i −1.48939 + 0.424929i
\(994\) 3.50834 + 8.13325i 0.111278 + 0.257971i
\(995\) 3.51227 + 1.76393i 0.111347 + 0.0559203i
\(996\) 8.37707 + 10.2505i 0.265438 + 0.324798i
\(997\) −2.77652 0.658047i −0.0879332 0.0208406i 0.186414 0.982471i \(-0.440314\pi\)
−0.274347 + 0.961631i \(0.588462\pi\)
\(998\) −0.0690730 + 0.119638i −0.00218647 + 0.00378707i
\(999\) −24.0769 31.0722i −0.761761 0.983081i
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 162.2.g.b.151.1 yes 90
3.2 odd 2 486.2.g.b.127.3 90
81.22 even 27 inner 162.2.g.b.103.1 90
81.59 odd 54 486.2.g.b.199.3 90
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
162.2.g.b.103.1 90 81.22 even 27 inner
162.2.g.b.151.1 yes 90 1.1 even 1 trivial
486.2.g.b.127.3 90 3.2 odd 2
486.2.g.b.199.3 90 81.59 odd 54