Properties

Label 230.2.g.d.71.2
Level $230$
Weight $2$
Character 230.71
Analytic conductor $1.837$
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] = [230,2,Mod(31,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.31");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.g (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: \(1.83655924649\)
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 71.2
Character \(\chi\) \(=\) 230.71
Dual form 230.2.g.d.81.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.841254 + 0.540641i) q^{2} +(0.00806642 + 0.0561032i) q^{3} +(0.415415 + 0.909632i) q^{4} +(0.959493 + 0.281733i) q^{5} +(-0.0235458 + 0.0515580i) q^{6} +(-3.27862 + 3.78373i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(2.87540 - 0.844293i) q^{9} +O(q^{10})\) \(q+(0.841254 + 0.540641i) q^{2} +(0.00806642 + 0.0561032i) q^{3} +(0.415415 + 0.909632i) q^{4} +(0.959493 + 0.281733i) q^{5} +(-0.0235458 + 0.0515580i) q^{6} +(-3.27862 + 3.78373i) q^{7} +(-0.142315 + 0.989821i) q^{8} +(2.87540 - 0.844293i) q^{9} +(0.654861 + 0.755750i) q^{10} +(1.87250 - 1.20338i) q^{11} +(-0.0476823 + 0.0306436i) q^{12} +(1.96248 + 2.26482i) q^{13} +(-4.80379 + 1.41052i) q^{14} +(-0.00806642 + 0.0561032i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.486889 - 1.06614i) q^{17} +(2.87540 + 0.844293i) q^{18} +(-3.02200 - 6.61725i) q^{19} +(0.142315 + 0.989821i) q^{20} +(-0.238726 - 0.153420i) q^{21} +2.22584 q^{22} +(-1.65275 - 4.50205i) q^{23} -0.0566801 q^{24} +(0.841254 + 0.540641i) q^{25} +(0.426488 + 2.96629i) q^{26} +(0.141199 + 0.309183i) q^{27} +(-4.80379 - 1.41052i) q^{28} +(1.15881 - 2.53744i) q^{29} +(-0.0371176 + 0.0428360i) q^{30} +(-1.12569 + 7.82931i) q^{31} +(-0.959493 + 0.281733i) q^{32} +(0.0826179 + 0.0953461i) q^{33} +(0.985994 - 0.633660i) q^{34} +(-4.21181 + 2.70677i) q^{35} +(1.96248 + 2.26482i) q^{36} +(-0.478771 + 0.140580i) q^{37} +(1.03529 - 7.20060i) q^{38} +(-0.111234 + 0.128370i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-5.31941 - 1.56192i) q^{41} +(-0.117884 - 0.258130i) q^{42} +(-1.47670 - 10.2706i) q^{43} +(1.87250 + 1.20338i) q^{44} +2.99679 q^{45} +(1.04361 - 4.68091i) q^{46} +4.15586 q^{47} +(-0.0476823 - 0.0306436i) q^{48} +(-2.57106 - 17.8821i) q^{49} +(0.415415 + 0.909632i) q^{50} +(0.0637412 + 0.0187161i) q^{51} +(-1.24491 + 2.72598i) q^{52} +(-1.78664 + 2.06189i) q^{53} +(-0.0483726 + 0.336439i) q^{54} +(2.13568 - 0.627092i) q^{55} +(-3.27862 - 3.78373i) q^{56} +(0.346872 - 0.222921i) q^{57} +(2.34670 - 1.50813i) q^{58} +(1.06069 + 1.22411i) q^{59} +(-0.0543842 + 0.0159686i) q^{60} +(0.795049 - 5.52969i) q^{61} +(-5.17983 + 5.97785i) q^{62} +(-6.23276 + 13.6478i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(1.24491 + 2.72598i) q^{65} +(0.0179546 + 0.124877i) q^{66} +(5.27811 + 3.39204i) q^{67} +1.17205 q^{68} +(0.239247 - 0.129040i) q^{69} -5.00659 q^{70} +(8.24915 + 5.30140i) q^{71} +(0.426487 + 2.96628i) q^{72} +(0.699996 + 1.53278i) q^{73} +(-0.478771 - 0.140580i) q^{74} +(-0.0235458 + 0.0515580i) q^{75} +(4.76388 - 5.49781i) q^{76} +(-1.58594 + 11.0305i) q^{77} +(-0.162978 + 0.0478547i) q^{78} +(-7.24418 - 8.36023i) q^{79} +(-0.841254 + 0.540641i) q^{80} +(7.54697 - 4.85014i) q^{81} +(-3.63053 - 4.18986i) q^{82} +(1.31824 - 0.387070i) q^{83} +(0.0403853 - 0.280886i) q^{84} +(0.767532 - 0.885779i) q^{85} +(4.31045 - 9.43858i) q^{86} +(0.151706 + 0.0445449i) q^{87} +(0.924648 + 2.02470i) q^{88} +(2.30892 + 16.0589i) q^{89} +(2.52106 + 1.62019i) q^{90} -15.0037 q^{91} +(3.40863 - 3.37361i) q^{92} -0.448330 q^{93} +(3.49613 + 2.24683i) q^{94} +(-1.03529 - 7.20060i) q^{95} +(-0.0235458 - 0.0515580i) q^{96} +(4.73556 + 1.39049i) q^{97} +(7.50487 - 16.4334i) q^{98} +(4.36817 - 5.04113i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9} + 3 q^{10} - 3 q^{11} - q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} - 26 q^{17} + 12 q^{18} - 25 q^{19} + 3 q^{20} - 11 q^{21} - 14 q^{22} + 14 q^{23} + 10 q^{24} - 3 q^{25} - 10 q^{26} - 52 q^{27} - 3 q^{28} + 4 q^{29} + q^{30} + 5 q^{31} - 3 q^{32} + 9 q^{33} + 7 q^{34} + 3 q^{35} + 12 q^{36} - 20 q^{37} + 19 q^{38} + 41 q^{39} + 3 q^{40} + 32 q^{41} + 22 q^{42} - 46 q^{43} - 3 q^{44} - 56 q^{45} + 3 q^{46} + 80 q^{47} - q^{48} - 41 q^{49} - 3 q^{50} - 34 q^{51} - 21 q^{52} + 29 q^{53} + 47 q^{54} + 3 q^{55} + 8 q^{56} - 33 q^{57} - 7 q^{58} - 3 q^{59} + q^{60} - q^{61} - 28 q^{62} - 8 q^{63} - 3 q^{64} + 21 q^{65} - 46 q^{66} - 63 q^{67} - 4 q^{68} + 78 q^{69} - 8 q^{70} + 55 q^{71} - 32 q^{72} - 36 q^{73} - 20 q^{74} - q^{75} - 3 q^{76} - 9 q^{77} - 80 q^{78} - 29 q^{79} + 3 q^{80} + 15 q^{81} - 23 q^{82} - 63 q^{83} + 4 q^{85} + 31 q^{86} + 63 q^{87} - 3 q^{88} - 95 q^{89} + 10 q^{90} - 12 q^{91} + 14 q^{92} + 126 q^{93} + 3 q^{94} - 19 q^{95} - q^{96} + 11 q^{97} + 58 q^{98} + 97 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 + 0.540641i 0.594856 + 0.382291i
\(3\) 0.00806642 + 0.0561032i 0.00465715 + 0.0323912i 0.992018 0.126100i \(-0.0402461\pi\)
−0.987360 + 0.158491i \(0.949337\pi\)
\(4\) 0.415415 + 0.909632i 0.207708 + 0.454816i
\(5\) 0.959493 + 0.281733i 0.429098 + 0.125995i
\(6\) −0.0235458 + 0.0515580i −0.00961252 + 0.0210485i
\(7\) −3.27862 + 3.78373i −1.23920 + 1.43012i −0.374959 + 0.927041i \(0.622343\pi\)
−0.864243 + 0.503074i \(0.832202\pi\)
\(8\) −0.142315 + 0.989821i −0.0503159 + 0.349955i
\(9\) 2.87540 0.844293i 0.958465 0.281431i
\(10\) 0.654861 + 0.755750i 0.207085 + 0.238989i
\(11\) 1.87250 1.20338i 0.564579 0.362833i −0.227005 0.973894i \(-0.572893\pi\)
0.791584 + 0.611061i \(0.209257\pi\)
\(12\) −0.0476823 + 0.0306436i −0.0137647 + 0.00884604i
\(13\) 1.96248 + 2.26482i 0.544294 + 0.628149i 0.959544 0.281558i \(-0.0908513\pi\)
−0.415250 + 0.909707i \(0.636306\pi\)
\(14\) −4.80379 + 1.41052i −1.28387 + 0.376977i
\(15\) −0.00806642 + 0.0561032i −0.00208274 + 0.0144858i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) 0.486889 1.06614i 0.118088 0.258576i −0.841353 0.540486i \(-0.818241\pi\)
0.959441 + 0.281909i \(0.0909678\pi\)
\(18\) 2.87540 + 0.844293i 0.677737 + 0.199002i
\(19\) −3.02200 6.61725i −0.693293 1.51810i −0.847918 0.530127i \(-0.822144\pi\)
0.154625 0.987973i \(-0.450583\pi\)
\(20\) 0.142315 + 0.989821i 0.0318226 + 0.221331i
\(21\) −0.238726 0.153420i −0.0520943 0.0334790i
\(22\) 2.22584 0.474551
\(23\) −1.65275 4.50205i −0.344622 0.938742i
\(24\) −0.0566801 −0.0115698
\(25\) 0.841254 + 0.540641i 0.168251 + 0.108128i
\(26\) 0.426488 + 2.96629i 0.0836411 + 0.581737i
\(27\) 0.141199 + 0.309183i 0.0271738 + 0.0595022i
\(28\) −4.80379 1.41052i −0.907831 0.266563i
\(29\) 1.15881 2.53744i 0.215186 0.471191i −0.771000 0.636835i \(-0.780243\pi\)
0.986186 + 0.165644i \(0.0529704\pi\)
\(30\) −0.0371176 + 0.0428360i −0.00677671 + 0.00782074i
\(31\) −1.12569 + 7.82931i −0.202179 + 1.40619i 0.595622 + 0.803265i \(0.296906\pi\)
−0.797801 + 0.602921i \(0.794003\pi\)
\(32\) −0.959493 + 0.281733i −0.169616 + 0.0498038i
\(33\) 0.0826179 + 0.0953461i 0.0143819 + 0.0165976i
\(34\) 0.985994 0.633660i 0.169097 0.108672i
\(35\) −4.21181 + 2.70677i −0.711926 + 0.457527i
\(36\) 1.96248 + 2.26482i 0.327080 + 0.377470i
\(37\) −0.478771 + 0.140580i −0.0787095 + 0.0231112i −0.320850 0.947130i \(-0.603969\pi\)
0.242141 + 0.970241i \(0.422150\pi\)
\(38\) 1.03529 7.20060i 0.167946 1.16809i
\(39\) −0.111234 + 0.128370i −0.0178116 + 0.0205557i
\(40\) −0.415415 + 0.909632i −0.0656829 + 0.143825i
\(41\) −5.31941 1.56192i −0.830752 0.243931i −0.161412 0.986887i \(-0.551605\pi\)
−0.669340 + 0.742956i \(0.733423\pi\)
\(42\) −0.117884 0.258130i −0.0181899 0.0398303i
\(43\) −1.47670 10.2706i −0.225194 1.56626i −0.717952 0.696092i \(-0.754920\pi\)
0.492759 0.870166i \(-0.335989\pi\)
\(44\) 1.87250 + 1.20338i 0.282290 + 0.181416i
\(45\) 2.99679 0.446735
\(46\) 1.04361 4.68091i 0.153872 0.690162i
\(47\) 4.15586 0.606194 0.303097 0.952960i \(-0.401979\pi\)
0.303097 + 0.952960i \(0.401979\pi\)
\(48\) −0.0476823 0.0306436i −0.00688235 0.00442302i
\(49\) −2.57106 17.8821i −0.367294 2.55458i
\(50\) 0.415415 + 0.909632i 0.0587486 + 0.128641i
\(51\) 0.0637412 + 0.0187161i 0.00892555 + 0.00262078i
\(52\) −1.24491 + 2.72598i −0.172638 + 0.378025i
\(53\) −1.78664 + 2.06189i −0.245414 + 0.283223i −0.865070 0.501650i \(-0.832726\pi\)
0.619657 + 0.784873i \(0.287272\pi\)
\(54\) −0.0483726 + 0.336439i −0.00658268 + 0.0457835i
\(55\) 2.13568 0.627092i 0.287975 0.0845571i
\(56\) −3.27862 3.78373i −0.438124 0.505622i
\(57\) 0.346872 0.222921i 0.0459443 0.0295266i
\(58\) 2.34670 1.50813i 0.308137 0.198027i
\(59\) 1.06069 + 1.22411i 0.138091 + 0.159365i 0.820582 0.571528i \(-0.193649\pi\)
−0.682492 + 0.730893i \(0.739104\pi\)
\(60\) −0.0543842 + 0.0159686i −0.00702097 + 0.00206154i
\(61\) 0.795049 5.52969i 0.101796 0.708004i −0.873455 0.486904i \(-0.838126\pi\)
0.975251 0.221100i \(-0.0709648\pi\)
\(62\) −5.17983 + 5.97785i −0.657839 + 0.759187i
\(63\) −6.23276 + 13.6478i −0.785254 + 1.71947i
\(64\) −0.959493 0.281733i −0.119937 0.0352166i
\(65\) 1.24491 + 2.72598i 0.154412 + 0.338116i
\(66\) 0.0179546 + 0.124877i 0.00221006 + 0.0153713i
\(67\) 5.27811 + 3.39204i 0.644824 + 0.414403i 0.821772 0.569817i \(-0.192986\pi\)
−0.176948 + 0.984220i \(0.556622\pi\)
\(68\) 1.17205 0.142132
\(69\) 0.239247 0.129040i 0.0288020 0.0155346i
\(70\) −5.00659 −0.598402
\(71\) 8.24915 + 5.30140i 0.978994 + 0.629161i 0.929192 0.369598i \(-0.120505\pi\)
0.0498019 + 0.998759i \(0.484141\pi\)
\(72\) 0.426487 + 2.96628i 0.0502620 + 0.349580i
\(73\) 0.699996 + 1.53278i 0.0819283 + 0.179398i 0.946163 0.323691i \(-0.104924\pi\)
−0.864234 + 0.503089i \(0.832197\pi\)
\(74\) −0.478771 0.140580i −0.0556560 0.0163421i
\(75\) −0.0235458 + 0.0515580i −0.00271883 + 0.00595341i
\(76\) 4.76388 5.49781i 0.546454 0.630642i
\(77\) −1.58594 + 11.0305i −0.180735 + 1.25704i
\(78\) −0.162978 + 0.0478547i −0.0184536 + 0.00541847i
\(79\) −7.24418 8.36023i −0.815034 0.940600i 0.184070 0.982913i \(-0.441073\pi\)
−0.999104 + 0.0423134i \(0.986527\pi\)
\(80\) −0.841254 + 0.540641i −0.0940550 + 0.0604455i
\(81\) 7.54697 4.85014i 0.838552 0.538905i
\(82\) −3.63053 4.18986i −0.400925 0.462693i
\(83\) 1.31824 0.387070i 0.144695 0.0424864i −0.208583 0.978005i \(-0.566885\pi\)
0.353278 + 0.935518i \(0.385067\pi\)
\(84\) 0.0403853 0.280886i 0.00440640 0.0306472i
\(85\) 0.767532 0.885779i 0.0832505 0.0960762i
\(86\) 4.31045 9.43858i 0.464808 1.01779i
\(87\) 0.151706 + 0.0445449i 0.0162646 + 0.00477572i
\(88\) 0.924648 + 2.02470i 0.0985678 + 0.215833i
\(89\) 2.30892 + 16.0589i 0.244745 + 1.70224i 0.627688 + 0.778465i \(0.284001\pi\)
−0.382943 + 0.923772i \(0.625089\pi\)
\(90\) 2.52106 + 1.62019i 0.265743 + 0.170783i
\(91\) −15.0037 −1.57282
\(92\) 3.40863 3.37361i 0.355374 0.351723i
\(93\) −0.448330 −0.0464896
\(94\) 3.49613 + 2.24683i 0.360598 + 0.231742i
\(95\) −1.03529 7.20060i −0.106218 0.738766i
\(96\) −0.0235458 0.0515580i −0.00240313 0.00526212i
\(97\) 4.73556 + 1.39049i 0.480823 + 0.141182i 0.513157 0.858295i \(-0.328476\pi\)
−0.0323340 + 0.999477i \(0.510294\pi\)
\(98\) 7.50487 16.4334i 0.758107 1.66002i
\(99\) 4.36817 5.04113i 0.439017 0.506653i
\(100\) −0.142315 + 0.989821i −0.0142315 + 0.0989821i
\(101\) 2.44810 0.718828i 0.243596 0.0715261i −0.157656 0.987494i \(-0.550394\pi\)
0.401251 + 0.915968i \(0.368575\pi\)
\(102\) 0.0435038 + 0.0502060i 0.00430752 + 0.00497114i
\(103\) −13.8454 + 8.89790i −1.36423 + 0.876737i −0.998541 0.0540011i \(-0.982803\pi\)
−0.365688 + 0.930738i \(0.619166\pi\)
\(104\) −2.52106 + 1.62019i −0.247210 + 0.158872i
\(105\) −0.185833 0.214462i −0.0181354 0.0209294i
\(106\) −2.61776 + 0.768644i −0.254259 + 0.0746573i
\(107\) −2.77233 + 19.2819i −0.268011 + 1.86406i 0.199266 + 0.979945i \(0.436144\pi\)
−0.467277 + 0.884111i \(0.654765\pi\)
\(108\) −0.222586 + 0.256878i −0.0214184 + 0.0247181i
\(109\) −1.17928 + 2.58227i −0.112955 + 0.247337i −0.957664 0.287889i \(-0.907046\pi\)
0.844709 + 0.535226i \(0.179774\pi\)
\(110\) 2.13568 + 0.627092i 0.203629 + 0.0597909i
\(111\) −0.0117490 0.0257266i −0.00111516 0.00244186i
\(112\) −0.712512 4.95563i −0.0673261 0.468263i
\(113\) −7.47828 4.80600i −0.703498 0.452111i 0.139364 0.990241i \(-0.455494\pi\)
−0.842861 + 0.538131i \(0.819131\pi\)
\(114\) 0.412328 0.0386180
\(115\) −0.317426 4.78532i −0.0296001 0.446233i
\(116\) 2.78953 0.259001
\(117\) 7.55508 + 4.85536i 0.698468 + 0.448878i
\(118\) 0.230511 + 1.60324i 0.0212202 + 0.147590i
\(119\) 2.43765 + 5.33771i 0.223459 + 0.489307i
\(120\) −0.0543842 0.0159686i −0.00496457 0.00145773i
\(121\) −2.51145 + 5.49930i −0.228313 + 0.499936i
\(122\) 3.65841 4.22203i 0.331217 0.382245i
\(123\) 0.0447201 0.311035i 0.00403227 0.0280451i
\(124\) −7.58942 + 2.22845i −0.681550 + 0.200121i
\(125\) 0.654861 + 0.755750i 0.0585725 + 0.0675963i
\(126\) −12.6219 + 8.11161i −1.12445 + 0.722640i
\(127\) 2.88908 1.85670i 0.256364 0.164755i −0.406146 0.913808i \(-0.633127\pi\)
0.662510 + 0.749053i \(0.269491\pi\)
\(128\) −0.654861 0.755750i −0.0578821 0.0667995i
\(129\) 0.564304 0.165695i 0.0496842 0.0145886i
\(130\) −0.426488 + 2.96629i −0.0374055 + 0.260161i
\(131\) −12.5263 + 14.4561i −1.09443 + 1.26304i −0.132072 + 0.991240i \(0.542163\pi\)
−0.962355 + 0.271796i \(0.912382\pi\)
\(132\) −0.0524092 + 0.114760i −0.00456163 + 0.00998858i
\(133\) 34.9459 + 10.2610i 3.03019 + 0.889744i
\(134\) 2.60636 + 5.70713i 0.225155 + 0.493021i
\(135\) 0.0483726 + 0.336439i 0.00416325 + 0.0289561i
\(136\) 0.985994 + 0.633660i 0.0845483 + 0.0543359i
\(137\) −17.0162 −1.45379 −0.726897 0.686747i \(-0.759038\pi\)
−0.726897 + 0.686747i \(0.759038\pi\)
\(138\) 0.271032 + 0.0207918i 0.0230718 + 0.00176991i
\(139\) 3.94931 0.334976 0.167488 0.985874i \(-0.446434\pi\)
0.167488 + 0.985874i \(0.446434\pi\)
\(140\) −4.21181 2.70677i −0.355963 0.228764i
\(141\) 0.0335229 + 0.233157i 0.00282314 + 0.0196354i
\(142\) 4.07347 + 8.91965i 0.341838 + 0.748521i
\(143\) 6.40018 + 1.87926i 0.535210 + 0.157152i
\(144\) −1.24491 + 2.72597i −0.103743 + 0.227164i
\(145\) 1.82675 2.10818i 0.151703 0.175075i
\(146\) −0.239808 + 1.66790i −0.0198466 + 0.138036i
\(147\) 0.982503 0.288489i 0.0810355 0.0237942i
\(148\) −0.326765 0.377107i −0.0268599 0.0309980i
\(149\) 15.7313 10.1099i 1.28876 0.828234i 0.296817 0.954934i \(-0.404075\pi\)
0.991941 + 0.126700i \(0.0404385\pi\)
\(150\) −0.0476823 + 0.0306436i −0.00389325 + 0.00250204i
\(151\) −12.0277 13.8807i −0.978802 1.12960i −0.991556 0.129679i \(-0.958605\pi\)
0.0127544 0.999919i \(-0.495940\pi\)
\(152\) 6.97997 2.04950i 0.566150 0.166237i
\(153\) 0.499866 3.47664i 0.0404118 0.281070i
\(154\) −7.29769 + 8.42198i −0.588065 + 0.678663i
\(155\) −3.28586 + 7.19503i −0.263927 + 0.577919i
\(156\) −0.162978 0.0478547i −0.0130487 0.00383144i
\(157\) −5.19036 11.3653i −0.414236 0.907050i −0.995626 0.0934256i \(-0.970218\pi\)
0.581390 0.813625i \(-0.302509\pi\)
\(158\) −1.57431 10.9496i −0.125246 0.871102i
\(159\) −0.130091 0.0836041i −0.0103168 0.00663024i
\(160\) −1.00000 −0.0790569
\(161\) 22.4533 + 8.50696i 1.76956 + 0.670442i
\(162\) 8.97110 0.704836
\(163\) 2.83683 + 1.82312i 0.222197 + 0.142798i 0.647004 0.762486i \(-0.276022\pi\)
−0.424807 + 0.905284i \(0.639658\pi\)
\(164\) −0.788991 5.48755i −0.0616098 0.428506i
\(165\) 0.0524092 + 0.114760i 0.00408005 + 0.00893406i
\(166\) 1.31824 + 0.387070i 0.102315 + 0.0300424i
\(167\) 8.27577 18.1214i 0.640398 1.40228i −0.259315 0.965793i \(-0.583497\pi\)
0.899713 0.436483i \(-0.143776\pi\)
\(168\) 0.185833 0.214462i 0.0143373 0.0165461i
\(169\) 0.571998 3.97833i 0.0439998 0.306026i
\(170\) 1.12458 0.330206i 0.0862511 0.0253256i
\(171\) −14.2763 16.4758i −1.09174 1.25993i
\(172\) 8.72906 5.60983i 0.665585 0.427745i
\(173\) −14.3666 + 9.23286i −1.09227 + 0.701961i −0.957360 0.288896i \(-0.906712\pi\)
−0.134913 + 0.990857i \(0.543075\pi\)
\(174\) 0.103540 + 0.119492i 0.00784938 + 0.00905867i
\(175\) −4.80379 + 1.41052i −0.363132 + 0.106625i
\(176\) −0.316770 + 2.20319i −0.0238775 + 0.166071i
\(177\) −0.0601203 + 0.0693825i −0.00451892 + 0.00521511i
\(178\) −6.73970 + 14.7579i −0.505162 + 1.10615i
\(179\) 12.5158 + 3.67497i 0.935474 + 0.274680i 0.713727 0.700424i \(-0.247006\pi\)
0.221747 + 0.975104i \(0.428824\pi\)
\(180\) 1.24491 + 2.72597i 0.0927901 + 0.203182i
\(181\) 0.869269 + 6.04590i 0.0646122 + 0.449388i 0.996287 + 0.0860945i \(0.0274387\pi\)
−0.931675 + 0.363294i \(0.881652\pi\)
\(182\) −12.6219 8.11162i −0.935599 0.601273i
\(183\) 0.316646 0.0234072
\(184\) 4.69143 0.995216i 0.345857 0.0733683i
\(185\) −0.498984 −0.0366860
\(186\) −0.377159 0.242385i −0.0276546 0.0177726i
\(187\) −0.371272 2.58225i −0.0271501 0.188833i
\(188\) 1.72641 + 3.78030i 0.125911 + 0.275707i
\(189\) −1.63280 0.479434i −0.118769 0.0348737i
\(190\) 3.02200 6.61725i 0.219239 0.480066i
\(191\) 1.67975 1.93853i 0.121542 0.140267i −0.691717 0.722168i \(-0.743146\pi\)
0.813259 + 0.581901i \(0.197691\pi\)
\(192\) 0.00806642 0.0561032i 0.000582144 0.00404890i
\(193\) −10.6989 + 3.14148i −0.770124 + 0.226129i −0.643112 0.765772i \(-0.722357\pi\)
−0.127012 + 0.991901i \(0.540539\pi\)
\(194\) 3.23205 + 3.72999i 0.232048 + 0.267797i
\(195\) −0.142894 + 0.0918324i −0.0102329 + 0.00657626i
\(196\) 15.1981 9.76720i 1.08558 0.697657i
\(197\) 4.98938 + 5.75806i 0.355479 + 0.410245i 0.905120 0.425156i \(-0.139781\pi\)
−0.549641 + 0.835401i \(0.685235\pi\)
\(198\) 6.40018 1.87926i 0.454841 0.133553i
\(199\) −2.25966 + 15.7163i −0.160183 + 1.11410i 0.738104 + 0.674687i \(0.235721\pi\)
−0.898287 + 0.439410i \(0.855188\pi\)
\(200\) −0.654861 + 0.755750i −0.0463056 + 0.0534396i
\(201\) −0.147729 + 0.323481i −0.0104200 + 0.0228166i
\(202\) 2.44810 + 0.718828i 0.172248 + 0.0505766i
\(203\) 5.80169 + 12.7039i 0.407199 + 0.891641i
\(204\) 0.00945428 + 0.0657559i 0.000661932 + 0.00460384i
\(205\) −4.66389 2.99730i −0.325740 0.209341i
\(206\) −16.4581 −1.14669
\(207\) −8.55335 11.5498i −0.594499 0.802764i
\(208\) −2.99679 −0.207790
\(209\) −13.6217 8.75416i −0.942236 0.605538i
\(210\) −0.0403853 0.280886i −0.00278685 0.0193830i
\(211\) −0.623147 1.36450i −0.0428992 0.0939361i 0.886969 0.461829i \(-0.152807\pi\)
−0.929868 + 0.367893i \(0.880079\pi\)
\(212\) −2.61776 0.768644i −0.179788 0.0527907i
\(213\) −0.230885 + 0.505567i −0.0158200 + 0.0346409i
\(214\) −12.7568 + 14.7222i −0.872039 + 1.00639i
\(215\) 1.47670 10.2706i 0.100710 0.700452i
\(216\) −0.326130 + 0.0957605i −0.0221904 + 0.00651568i
\(217\) −25.9333 29.9286i −1.76047 2.03169i
\(218\) −2.38816 + 1.53478i −0.161747 + 0.103948i
\(219\) −0.0803472 + 0.0516360i −0.00542936 + 0.00348924i
\(220\) 1.45762 + 1.68218i 0.0982725 + 0.113412i
\(221\) 3.37012 0.989557i 0.226699 0.0665648i
\(222\) 0.00402501 0.0279946i 0.000270141 0.00187887i
\(223\) 5.83330 6.73199i 0.390627 0.450808i −0.526040 0.850460i \(-0.676324\pi\)
0.916667 + 0.399652i \(0.130869\pi\)
\(224\) 2.07981 4.55416i 0.138963 0.304287i
\(225\) 2.87540 + 0.844293i 0.191693 + 0.0562862i
\(226\) −3.69281 8.08613i −0.245642 0.537881i
\(227\) 0.611220 + 4.25113i 0.0405681 + 0.282157i 1.00000 0.000216675i \(6.89699e-5\pi\)
−0.959432 + 0.281940i \(0.909022\pi\)
\(228\) 0.346872 + 0.222921i 0.0229722 + 0.0147633i
\(229\) −17.8967 −1.18265 −0.591324 0.806434i \(-0.701395\pi\)
−0.591324 + 0.806434i \(0.701395\pi\)
\(230\) 2.32010 4.19728i 0.152983 0.276760i
\(231\) −0.631636 −0.0415586
\(232\) 2.34670 + 1.50813i 0.154068 + 0.0990137i
\(233\) −3.88039 26.9887i −0.254213 1.76809i −0.572318 0.820032i \(-0.693956\pi\)
0.318106 0.948055i \(-0.396953\pi\)
\(234\) 3.73074 + 8.16917i 0.243886 + 0.534036i
\(235\) 3.98752 + 1.17084i 0.260117 + 0.0763772i
\(236\) −0.672858 + 1.47335i −0.0437993 + 0.0959071i
\(237\) 0.410601 0.473859i 0.0266714 0.0307805i
\(238\) −0.835103 + 5.80827i −0.0541317 + 0.376494i
\(239\) 13.2810 3.89964i 0.859074 0.252247i 0.177612 0.984101i \(-0.443163\pi\)
0.681462 + 0.731854i \(0.261345\pi\)
\(240\) −0.0371176 0.0428360i −0.00239593 0.00276505i
\(241\) 12.7160 8.17210i 0.819112 0.526411i −0.0626891 0.998033i \(-0.519968\pi\)
0.881801 + 0.471622i \(0.156331\pi\)
\(242\) −5.08591 + 3.26851i −0.326935 + 0.210108i
\(243\) 1.00074 + 1.15492i 0.0641978 + 0.0740882i
\(244\) 5.36026 1.57391i 0.343155 0.100759i
\(245\) 2.57106 17.8821i 0.164259 1.14244i
\(246\) 0.205779 0.237482i 0.0131200 0.0151413i
\(247\) 9.05629 19.8305i 0.576238 1.26178i
\(248\) −7.58942 2.22845i −0.481929 0.141507i
\(249\) 0.0323493 + 0.0708351i 0.00205005 + 0.00448899i
\(250\) 0.142315 + 0.989821i 0.00900078 + 0.0626018i
\(251\) 16.5278 + 10.6217i 1.04322 + 0.670438i 0.945782 0.324803i \(-0.105298\pi\)
0.0974408 + 0.995241i \(0.468934\pi\)
\(252\) −15.0037 −0.945144
\(253\) −8.51244 6.44119i −0.535173 0.404954i
\(254\) 3.43426 0.215484
\(255\) 0.0558863 + 0.0359159i 0.00349973 + 0.00224914i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 0.563476 + 1.23384i 0.0351487 + 0.0769648i 0.926392 0.376561i \(-0.122893\pi\)
−0.891243 + 0.453526i \(0.850166\pi\)
\(258\) 0.564304 + 0.165695i 0.0351320 + 0.0103157i
\(259\) 1.03779 2.27245i 0.0644853 0.141203i
\(260\) −1.96248 + 2.26482i −0.121708 + 0.140458i
\(261\) 1.18970 8.27453i 0.0736404 0.512180i
\(262\) −18.3533 + 5.38903i −1.13387 + 0.332935i
\(263\) −6.12361 7.06702i −0.377598 0.435771i 0.534861 0.844940i \(-0.320364\pi\)
−0.912459 + 0.409169i \(0.865819\pi\)
\(264\) −0.106133 + 0.0682078i −0.00653206 + 0.00419790i
\(265\) −2.29517 + 1.47502i −0.140991 + 0.0906095i
\(266\) 23.8508 + 27.5253i 1.46239 + 1.68768i
\(267\) −0.882329 + 0.259075i −0.0539977 + 0.0158551i
\(268\) −0.892898 + 6.21024i −0.0545424 + 0.379351i
\(269\) −13.0797 + 15.0948i −0.797485 + 0.920347i −0.998241 0.0592947i \(-0.981115\pi\)
0.200756 + 0.979641i \(0.435660\pi\)
\(270\) −0.141199 + 0.309183i −0.00859310 + 0.0188163i
\(271\) −21.4341 6.29362i −1.30203 0.382310i −0.444053 0.896000i \(-0.646460\pi\)
−0.857976 + 0.513690i \(0.828278\pi\)
\(272\) 0.486889 + 1.06614i 0.0295220 + 0.0646441i
\(273\) −0.121026 0.841756i −0.00732484 0.0509454i
\(274\) −14.3149 9.19966i −0.864798 0.555772i
\(275\) 2.22584 0.134223
\(276\) 0.216766 + 0.164022i 0.0130478 + 0.00987297i
\(277\) −18.2078 −1.09400 −0.547000 0.837132i \(-0.684230\pi\)
−0.547000 + 0.837132i \(0.684230\pi\)
\(278\) 3.32237 + 2.13516i 0.199263 + 0.128058i
\(279\) 3.37344 + 23.4628i 0.201963 + 1.40468i
\(280\) −2.07981 4.55416i −0.124293 0.272163i
\(281\) −10.3086 3.02686i −0.614957 0.180568i −0.0406038 0.999175i \(-0.512928\pi\)
−0.574353 + 0.818608i \(0.694746\pi\)
\(282\) −0.0978529 + 0.214268i −0.00582705 + 0.0127595i
\(283\) 7.01822 8.09946i 0.417190 0.481463i −0.507789 0.861482i \(-0.669537\pi\)
0.924979 + 0.380019i \(0.124082\pi\)
\(284\) −1.39551 + 9.70597i −0.0828082 + 0.575943i
\(285\) 0.395625 0.116166i 0.0234348 0.00688109i
\(286\) 4.36817 + 5.04114i 0.258295 + 0.298089i
\(287\) 23.3502 15.0063i 1.37832 0.885792i
\(288\) −2.52106 + 1.62019i −0.148555 + 0.0954704i
\(289\) 10.2330 + 11.8096i 0.601944 + 0.694680i
\(290\) 2.67653 0.785900i 0.157171 0.0461496i
\(291\) −0.0398117 + 0.276896i −0.00233380 + 0.0162319i
\(292\) −1.10347 + 1.27348i −0.0645759 + 0.0745246i
\(293\) −7.10593 + 15.5598i −0.415133 + 0.909014i 0.580376 + 0.814348i \(0.302905\pi\)
−0.995509 + 0.0946655i \(0.969822\pi\)
\(294\) 0.982503 + 0.288489i 0.0573007 + 0.0168250i
\(295\) 0.672858 + 1.47335i 0.0391753 + 0.0857820i
\(296\) −0.0710128 0.493905i −0.00412753 0.0287076i
\(297\) 0.636459 + 0.409027i 0.0369311 + 0.0237342i
\(298\) 18.6998 1.08325
\(299\) 6.95286 12.5784i 0.402094 0.727425i
\(300\) −0.0566801 −0.00327243
\(301\) 43.7029 + 28.0861i 2.51899 + 1.61886i
\(302\) −2.61387 18.1799i −0.150411 1.04613i
\(303\) 0.0600760 + 0.131548i 0.00345128 + 0.00755724i
\(304\) 6.97997 + 2.04950i 0.400329 + 0.117547i
\(305\) 2.32074 5.08171i 0.132885 0.290978i
\(306\) 2.30013 2.65449i 0.131490 0.151747i
\(307\) −0.846409 + 5.88690i −0.0483071 + 0.335983i 0.951308 + 0.308242i \(0.0997406\pi\)
−0.999615 + 0.0277414i \(0.991168\pi\)
\(308\) −10.6925 + 3.13959i −0.609260 + 0.178895i
\(309\) −0.610884 0.704997i −0.0347520 0.0401059i
\(310\) −6.65417 + 4.27637i −0.377931 + 0.242882i
\(311\) −16.8726 + 10.8434i −0.956758 + 0.614871i −0.923099 0.384563i \(-0.874352\pi\)
−0.0336588 + 0.999433i \(0.510716\pi\)
\(312\) −0.111234 0.128370i −0.00629737 0.00726755i
\(313\) −19.9736 + 5.86479i −1.12898 + 0.331498i −0.792306 0.610124i \(-0.791119\pi\)
−0.336672 + 0.941622i \(0.609301\pi\)
\(314\) 1.77814 12.3672i 0.100346 0.697923i
\(315\) −9.82533 + 11.3390i −0.553595 + 0.638882i
\(316\) 4.59539 10.0625i 0.258511 0.566060i
\(317\) 13.0303 + 3.82603i 0.731853 + 0.214892i 0.626366 0.779529i \(-0.284542\pi\)
0.105487 + 0.994421i \(0.466360\pi\)
\(318\) −0.0642393 0.140664i −0.00360236 0.00788807i
\(319\) −0.883639 6.14584i −0.0494743 0.344101i
\(320\) −0.841254 0.540641i −0.0470275 0.0302227i
\(321\) −1.10414 −0.0616272
\(322\) 14.2897 + 19.2957i 0.796333 + 1.07530i
\(323\) −8.52627 −0.474414
\(324\) 7.54697 + 4.85014i 0.419276 + 0.269452i
\(325\) 0.426488 + 2.96629i 0.0236573 + 0.164540i
\(326\) 1.40084 + 3.06741i 0.0775853 + 0.169888i
\(327\) −0.154386 0.0453319i −0.00853759 0.00250686i
\(328\) 2.30305 5.04298i 0.127165 0.278452i
\(329\) −13.6255 + 15.7246i −0.751197 + 0.866928i
\(330\) −0.0179546 + 0.124877i −0.000988367 + 0.00687424i
\(331\) 17.3727 5.10107i 0.954888 0.280380i 0.233067 0.972461i \(-0.425124\pi\)
0.721820 + 0.692080i \(0.243306\pi\)
\(332\) 0.899707 + 1.03832i 0.0493778 + 0.0569851i
\(333\) −1.25797 + 0.808446i −0.0689361 + 0.0443026i
\(334\) 16.7592 10.7705i 0.917022 0.589334i
\(335\) 4.10866 + 4.74165i 0.224480 + 0.259064i
\(336\) 0.272279 0.0799484i 0.0148541 0.00436155i
\(337\) 2.74161 19.0683i 0.149345 1.03872i −0.767951 0.640509i \(-0.778723\pi\)
0.917295 0.398207i \(-0.130368\pi\)
\(338\) 2.63204 3.03754i 0.143164 0.165220i
\(339\) 0.209309 0.458323i 0.0113681 0.0248927i
\(340\) 1.12458 + 0.330206i 0.0609887 + 0.0179079i
\(341\) 7.31380 + 16.0150i 0.396065 + 0.867260i
\(342\) −3.10254 21.5787i −0.167766 1.16684i
\(343\) 46.6078 + 29.9530i 2.51658 + 1.61731i
\(344\) 10.3763 0.559450
\(345\) 0.265911 0.0564090i 0.0143162 0.00303696i
\(346\) −17.0776 −0.918099
\(347\) −3.30455 2.12371i −0.177398 0.114007i 0.448929 0.893568i \(-0.351806\pi\)
−0.626326 + 0.779561i \(0.715442\pi\)
\(348\) 0.0225015 + 0.156501i 0.00120621 + 0.00838935i
\(349\) 5.66433 + 12.4032i 0.303205 + 0.663926i 0.998497 0.0548011i \(-0.0174525\pi\)
−0.695293 + 0.718727i \(0.744725\pi\)
\(350\) −4.80379 1.41052i −0.256773 0.0753955i
\(351\) −0.423144 + 0.926556i −0.0225857 + 0.0494559i
\(352\) −1.45762 + 1.68218i −0.0776912 + 0.0896604i
\(353\) −0.137876 + 0.958951i −0.00733842 + 0.0510398i −0.993162 0.116748i \(-0.962753\pi\)
0.985823 + 0.167787i \(0.0536622\pi\)
\(354\) −0.0880874 + 0.0258648i −0.00468179 + 0.00137470i
\(355\) 6.42142 + 7.41071i 0.340814 + 0.393320i
\(356\) −13.6485 + 8.77136i −0.723369 + 0.464881i
\(357\) −0.279800 + 0.179816i −0.0148086 + 0.00951689i
\(358\) 8.54211 + 9.85812i 0.451465 + 0.521018i
\(359\) −13.6264 + 4.00108i −0.719175 + 0.211169i −0.620787 0.783979i \(-0.713187\pi\)
−0.0983880 + 0.995148i \(0.531369\pi\)
\(360\) −0.426487 + 2.96628i −0.0224779 + 0.156337i
\(361\) −22.2131 + 25.6353i −1.16911 + 1.34923i
\(362\) −2.53738 + 5.55609i −0.133362 + 0.292022i
\(363\) −0.328787 0.0965405i −0.0172568 0.00506706i
\(364\) −6.23277 13.6479i −0.326686 0.715342i
\(365\) 0.239808 + 1.66790i 0.0125521 + 0.0873019i
\(366\) 0.266380 + 0.171192i 0.0139239 + 0.00894835i
\(367\) 12.9049 0.673633 0.336816 0.941570i \(-0.390650\pi\)
0.336816 + 0.941570i \(0.390650\pi\)
\(368\) 4.48474 + 1.69915i 0.233783 + 0.0885744i
\(369\) −16.6141 −0.864897
\(370\) −0.419772 0.269771i −0.0218229 0.0140247i
\(371\) −1.94393 13.5203i −0.100924 0.701940i
\(372\) −0.186243 0.407815i −0.00965624 0.0211442i
\(373\) 29.2733 + 8.59543i 1.51572 + 0.445054i 0.930644 0.365927i \(-0.119248\pi\)
0.585072 + 0.810981i \(0.301066\pi\)
\(374\) 1.08374 2.37305i 0.0560387 0.122708i
\(375\) −0.0371176 + 0.0428360i −0.00191674 + 0.00221204i
\(376\) −0.591440 + 4.11356i −0.0305012 + 0.212140i
\(377\) 8.02100 2.35518i 0.413103 0.121298i
\(378\) −1.11440 1.28608i −0.0573185 0.0661491i
\(379\) −5.78534 + 3.71801i −0.297173 + 0.190981i −0.680727 0.732537i \(-0.738336\pi\)
0.383555 + 0.923518i \(0.374700\pi\)
\(380\) 6.11982 3.93297i 0.313940 0.201757i
\(381\) 0.127471 + 0.147110i 0.00653055 + 0.00753666i
\(382\) 2.46114 0.722657i 0.125923 0.0369743i
\(383\) 1.99802 13.8966i 0.102094 0.710081i −0.872908 0.487885i \(-0.837768\pi\)
0.975002 0.222196i \(-0.0713224\pi\)
\(384\) 0.0371176 0.0428360i 0.00189415 0.00218596i
\(385\) −4.62934 + 10.1368i −0.235933 + 0.516621i
\(386\) −10.6989 3.14148i −0.544560 0.159897i
\(387\) −12.9175 28.2854i −0.656634 1.43783i
\(388\) 0.702392 + 4.88524i 0.0356585 + 0.248011i
\(389\) 6.19737 + 3.98281i 0.314219 + 0.201936i 0.688238 0.725485i \(-0.258384\pi\)
−0.374019 + 0.927421i \(0.622021\pi\)
\(390\) −0.169858 −0.00860112
\(391\) −5.60450 0.429940i −0.283432 0.0217430i
\(392\) 18.0660 0.912469
\(393\) −0.912076 0.586156i −0.0460082 0.0295676i
\(394\) 1.08430 + 7.54145i 0.0546261 + 0.379933i
\(395\) −4.59539 10.0625i −0.231219 0.506300i
\(396\) 6.40018 + 1.87926i 0.321621 + 0.0944364i
\(397\) −10.5568 + 23.1163i −0.529833 + 1.16017i 0.435748 + 0.900069i \(0.356484\pi\)
−0.965581 + 0.260103i \(0.916243\pi\)
\(398\) −10.3978 + 11.9997i −0.521195 + 0.601491i
\(399\) −0.293788 + 2.04334i −0.0147078 + 0.102295i
\(400\) −0.959493 + 0.281733i −0.0479746 + 0.0140866i
\(401\) 10.0306 + 11.5759i 0.500902 + 0.578072i 0.948746 0.316040i \(-0.102353\pi\)
−0.447844 + 0.894112i \(0.647808\pi\)
\(402\) −0.299164 + 0.192261i −0.0149209 + 0.00958911i
\(403\) −19.9411 + 12.8154i −0.993339 + 0.638380i
\(404\) 1.67085 + 1.92826i 0.0831278 + 0.0959346i
\(405\) 8.60770 2.52745i 0.427720 0.125590i
\(406\) −1.98757 + 13.8239i −0.0986415 + 0.686067i
\(407\) −0.727326 + 0.839379i −0.0360522 + 0.0416065i
\(408\) −0.0275969 + 0.0604288i −0.00136625 + 0.00299167i
\(409\) 0.149962 + 0.0440329i 0.00741516 + 0.00217729i 0.285438 0.958397i \(-0.407861\pi\)
−0.278023 + 0.960574i \(0.589679\pi\)
\(410\) −2.30305 5.04298i −0.113740 0.249055i
\(411\) −0.137260 0.954664i −0.00677053 0.0470901i
\(412\) −13.8454 8.89790i −0.682114 0.438368i
\(413\) −8.10930 −0.399033
\(414\) −0.951257 14.3406i −0.0467517 0.704801i
\(415\) 1.37389 0.0674416
\(416\) −2.52106 1.62019i −0.123605 0.0794362i
\(417\) 0.0318568 + 0.221569i 0.00156004 + 0.0108503i
\(418\) −6.72648 14.7289i −0.329003 0.720416i
\(419\) 21.1610 + 6.21343i 1.03378 + 0.303546i 0.754248 0.656590i \(-0.228002\pi\)
0.279534 + 0.960136i \(0.409820\pi\)
\(420\) 0.117884 0.258130i 0.00575215 0.0125955i
\(421\) 19.7406 22.7818i 0.962097 1.11032i −0.0317430 0.999496i \(-0.510106\pi\)
0.993840 0.110823i \(-0.0353487\pi\)
\(422\) 0.213481 1.48479i 0.0103921 0.0722784i
\(423\) 11.9497 3.50876i 0.581016 0.170602i
\(424\) −1.78664 2.06189i −0.0867669 0.100134i
\(425\) 0.985994 0.633660i 0.0478277 0.0307370i
\(426\) −0.467563 + 0.300484i −0.0226535 + 0.0145585i
\(427\) 18.3162 + 21.1380i 0.886382 + 1.02294i
\(428\) −18.6911 + 5.48821i −0.903471 + 0.265283i
\(429\) −0.0538061 + 0.374230i −0.00259778 + 0.0180680i
\(430\) 6.79500 7.84185i 0.327684 0.378168i
\(431\) −0.995338 + 2.17949i −0.0479437 + 0.104982i −0.932088 0.362232i \(-0.882015\pi\)
0.884144 + 0.467214i \(0.154742\pi\)
\(432\) −0.326130 0.0957605i −0.0156910 0.00460728i
\(433\) −12.6898 27.7867i −0.609832 1.33534i −0.922689 0.385545i \(-0.874013\pi\)
0.312857 0.949800i \(-0.398714\pi\)
\(434\) −5.63585 39.1982i −0.270529 1.88157i
\(435\) 0.133011 + 0.0854811i 0.00637739 + 0.00409850i
\(436\) −2.83881 −0.135954
\(437\) −24.7966 + 24.5418i −1.18618 + 1.17399i
\(438\) −0.0955089 −0.00456359
\(439\) 4.81931 + 3.09718i 0.230013 + 0.147820i 0.650571 0.759445i \(-0.274529\pi\)
−0.420558 + 0.907265i \(0.638166\pi\)
\(440\) 0.316770 + 2.20319i 0.0151014 + 0.105033i
\(441\) −22.4905 49.2474i −1.07098 2.34511i
\(442\) 3.37012 + 0.989557i 0.160300 + 0.0470684i
\(443\) 10.9412 23.9578i 0.519831 1.13827i −0.449672 0.893194i \(-0.648459\pi\)
0.969503 0.245078i \(-0.0788135\pi\)
\(444\) 0.0185211 0.0213744i 0.000878971 0.00101439i
\(445\) −2.30892 + 16.0589i −0.109453 + 0.761264i
\(446\) 8.54688 2.50959i 0.404706 0.118833i
\(447\) 0.694092 + 0.801025i 0.0328294 + 0.0378872i
\(448\) 4.21181 2.70677i 0.198989 0.127883i
\(449\) 9.13206 5.86882i 0.430969 0.276967i −0.307120 0.951671i \(-0.599365\pi\)
0.738088 + 0.674704i \(0.235729\pi\)
\(450\) 1.96248 + 2.26482i 0.0925121 + 0.106765i
\(451\) −11.8402 + 3.47659i −0.557531 + 0.163706i
\(452\) 1.26510 8.79897i 0.0595054 0.413869i
\(453\) 0.681732 0.786761i 0.0320306 0.0369653i
\(454\) −1.78414 + 3.90672i −0.0837339 + 0.183352i
\(455\) −14.3960 4.22703i −0.674893 0.198166i
\(456\) 0.171287 + 0.375066i 0.00802125 + 0.0175641i
\(457\) 0.248874 + 1.73096i 0.0116419 + 0.0809709i 0.994814 0.101710i \(-0.0324315\pi\)
−0.983172 + 0.182681i \(0.941522\pi\)
\(458\) −15.0557 9.67569i −0.703506 0.452116i
\(459\) 0.398379 0.0185948
\(460\) 4.22101 2.27663i 0.196806 0.106149i
\(461\) −8.58259 −0.399731 −0.199865 0.979823i \(-0.564051\pi\)
−0.199865 + 0.979823i \(0.564051\pi\)
\(462\) −0.531366 0.341488i −0.0247214 0.0158875i
\(463\) −0.413231 2.87409i −0.0192045 0.133570i 0.977964 0.208776i \(-0.0669478\pi\)
−0.997168 + 0.0752054i \(0.976039\pi\)
\(464\) 1.15881 + 2.53744i 0.0537964 + 0.117798i
\(465\) −0.430169 0.126309i −0.0199486 0.00585744i
\(466\) 11.3268 24.8022i 0.524703 1.14894i
\(467\) −13.4715 + 15.5469i −0.623385 + 0.719424i −0.976346 0.216214i \(-0.930629\pi\)
0.352962 + 0.935638i \(0.385175\pi\)
\(468\) −1.27809 + 8.88933i −0.0590799 + 0.410910i
\(469\) −30.1395 + 8.84975i −1.39171 + 0.408643i
\(470\) 2.72151 + 3.14079i 0.125534 + 0.144874i
\(471\) 0.595763 0.382873i 0.0274513 0.0176419i
\(472\) −1.36260 + 0.875689i −0.0627187 + 0.0403069i
\(473\) −15.1246 17.4547i −0.695430 0.802569i
\(474\) 0.601607 0.176648i 0.0276327 0.00811370i
\(475\) 1.03529 7.20060i 0.0475023 0.330386i
\(476\) −3.84272 + 4.43473i −0.176131 + 0.203266i
\(477\) −3.39646 + 7.43720i −0.155513 + 0.340526i
\(478\) 13.2810 + 3.89964i 0.607457 + 0.178365i
\(479\) 1.54737 + 3.38826i 0.0707010 + 0.154814i 0.941683 0.336501i \(-0.109244\pi\)
−0.870982 + 0.491315i \(0.836516\pi\)
\(480\) −0.00806642 0.0561032i −0.000368180 0.00256075i
\(481\) −1.25797 0.808447i −0.0573584 0.0368620i
\(482\) 15.1156 0.688496
\(483\) −0.296150 + 1.32832i −0.0134753 + 0.0604407i
\(484\) −6.04563 −0.274801
\(485\) 4.15199 + 2.66832i 0.188532 + 0.121162i
\(486\) 0.217482 + 1.51262i 0.00986521 + 0.0686140i
\(487\) 10.3130 + 22.5823i 0.467326 + 1.02330i 0.985756 + 0.168181i \(0.0537893\pi\)
−0.518430 + 0.855120i \(0.673483\pi\)
\(488\) 5.36026 + 1.57391i 0.242647 + 0.0712477i
\(489\) −0.0793997 + 0.173861i −0.00359058 + 0.00786227i
\(490\) 11.8307 13.6533i 0.534456 0.616795i
\(491\) 4.96727 34.5482i 0.224170 1.55914i −0.497849 0.867264i \(-0.665877\pi\)
0.722019 0.691873i \(-0.243214\pi\)
\(492\) 0.301505 0.0885298i 0.0135929 0.00399123i
\(493\) −2.14105 2.47090i −0.0964280 0.111284i
\(494\) 18.3398 11.7863i 0.825147 0.530290i
\(495\) 5.61148 3.60628i 0.252217 0.162090i
\(496\) −5.17983 5.97785i −0.232581 0.268413i
\(497\) −47.1049 + 13.8312i −2.11294 + 0.620416i
\(498\) −0.0110824 + 0.0770797i −0.000496613 + 0.00345402i
\(499\) 8.71860 10.0618i 0.390298 0.450428i −0.526263 0.850322i \(-0.676407\pi\)
0.916562 + 0.399893i \(0.130953\pi\)
\(500\) −0.415415 + 0.909632i −0.0185779 + 0.0406800i
\(501\) 1.08342 + 0.318122i 0.0484038 + 0.0142126i
\(502\) 8.16148 + 17.8712i 0.364265 + 0.797629i
\(503\) 1.02934 + 7.15918i 0.0458958 + 0.319212i 0.999817 + 0.0191536i \(0.00609715\pi\)
−0.953921 + 0.300059i \(0.902994\pi\)
\(504\) −12.6219 8.11161i −0.562225 0.361320i
\(505\) 2.55146 0.113538
\(506\) −3.67875 10.0208i −0.163540 0.445481i
\(507\) 0.227811 0.0101174
\(508\) 2.88908 + 1.85670i 0.128182 + 0.0823777i
\(509\) 0.237944 + 1.65493i 0.0105467 + 0.0733537i 0.994415 0.105540i \(-0.0336572\pi\)
−0.983868 + 0.178894i \(0.942748\pi\)
\(510\) 0.0275969 + 0.0604288i 0.00122201 + 0.00267583i
\(511\) −8.09463 2.37680i −0.358085 0.105143i
\(512\) 0.415415 0.909632i 0.0183589 0.0402004i
\(513\) 1.61924 1.86870i 0.0714910 0.0825050i
\(514\) −0.193038 + 1.34261i −0.00851455 + 0.0592200i
\(515\) −15.7914 + 4.63677i −0.695852 + 0.204321i
\(516\) 0.385142 + 0.444477i 0.0169549 + 0.0195670i
\(517\) 7.78183 5.00108i 0.342245 0.219947i
\(518\) 2.10163 1.35063i 0.0923401 0.0593434i
\(519\) −0.633880 0.731537i −0.0278242 0.0321109i
\(520\) −2.87540 + 0.844294i −0.126095 + 0.0370247i
\(521\) 1.63408 11.3653i 0.0715905 0.497923i −0.922205 0.386701i \(-0.873615\pi\)
0.993796 0.111222i \(-0.0354764\pi\)
\(522\) 5.47438 6.31777i 0.239607 0.276521i
\(523\) 2.18937 4.79406i 0.0957346 0.209630i −0.855706 0.517463i \(-0.826877\pi\)
0.951440 + 0.307833i \(0.0996039\pi\)
\(524\) −18.3533 5.38903i −0.801770 0.235421i
\(525\) −0.117884 0.258130i −0.00514488 0.0112657i
\(526\) −1.33079 9.25583i −0.0580251 0.403573i
\(527\) 7.79904 + 5.01214i 0.339731 + 0.218332i
\(528\) −0.126161 −0.00549045
\(529\) −17.5369 + 14.8815i −0.762472 + 0.647021i
\(530\) −2.72827 −0.118509
\(531\) 4.08342 + 2.62425i 0.177205 + 0.113883i
\(532\) 5.18327 + 36.0505i 0.224723 + 1.56299i
\(533\) −6.90177 15.1128i −0.298949 0.654606i
\(534\) −0.882329 0.259075i −0.0381821 0.0112113i
\(535\) −8.09238 + 17.7198i −0.349864 + 0.766095i
\(536\) −4.10866 + 4.74165i −0.177467 + 0.204808i
\(537\) −0.105220 + 0.731820i −0.00454057 + 0.0315803i
\(538\) −19.1642 + 5.62713i −0.826229 + 0.242603i
\(539\) −26.3332 30.3902i −1.13425 1.30900i
\(540\) −0.285941 + 0.183763i −0.0123049 + 0.00790790i
\(541\) 8.01851 5.15318i 0.344743 0.221553i −0.356799 0.934181i \(-0.616132\pi\)
0.701541 + 0.712629i \(0.252496\pi\)
\(542\) −14.6289 16.8827i −0.628366 0.725173i
\(543\) −0.332182 + 0.0975375i −0.0142553 + 0.00418574i
\(544\) −0.166801 + 1.16012i −0.00715152 + 0.0497399i
\(545\) −1.85903 + 2.14543i −0.0796319 + 0.0919001i
\(546\) 0.353274 0.773562i 0.0151187 0.0331054i
\(547\) 30.2425 + 8.87999i 1.29307 + 0.379681i 0.854705 0.519114i \(-0.173738\pi\)
0.438370 + 0.898795i \(0.355556\pi\)
\(548\) −7.06879 15.4785i −0.301964 0.661208i
\(549\) −2.38259 16.5713i −0.101687 0.707246i
\(550\) 1.87250 + 1.20338i 0.0798435 + 0.0513123i
\(551\) −20.2928 −0.864502
\(552\) 0.0936779 + 0.255177i 0.00398720 + 0.0108610i
\(553\) 55.3838 2.35516
\(554\) −15.3174 9.84388i −0.650773 0.418226i
\(555\) −0.00402501 0.0279946i −0.000170852 0.00118830i
\(556\) 1.64060 + 3.59242i 0.0695771 + 0.152353i
\(557\) 6.84972 + 2.01126i 0.290232 + 0.0852198i 0.423608 0.905846i \(-0.360764\pi\)
−0.133376 + 0.991066i \(0.542582\pi\)
\(558\) −9.84702 + 21.5620i −0.416858 + 0.912791i
\(559\) 20.3632 23.5004i 0.861272 0.993961i
\(560\) 0.712512 4.95563i 0.0301091 0.209414i
\(561\) 0.141878 0.0416591i 0.00599008 0.00175885i
\(562\) −7.03566 8.11959i −0.296781 0.342504i
\(563\) 37.7677 24.2718i 1.59172 1.02294i 0.620666 0.784075i \(-0.286862\pi\)
0.971054 0.238861i \(-0.0767740\pi\)
\(564\) −0.198161 + 0.127350i −0.00834409 + 0.00536242i
\(565\) −5.82135 6.71820i −0.244906 0.282637i
\(566\) 10.2830 3.01936i 0.432227 0.126913i
\(567\) −6.39202 + 44.4575i −0.268440 + 1.86704i
\(568\) −6.42142 + 7.41071i −0.269437 + 0.310947i
\(569\) −8.07010 + 17.6711i −0.338316 + 0.740809i −0.999959 0.00900968i \(-0.997132\pi\)
0.661643 + 0.749819i \(0.269859\pi\)
\(570\) 0.395625 + 0.116166i 0.0165709 + 0.00486566i
\(571\) 13.2133 + 28.9331i 0.552959 + 1.21081i 0.955386 + 0.295360i \(0.0954396\pi\)
−0.402427 + 0.915452i \(0.631833\pi\)
\(572\) 0.949294 + 6.60249i 0.0396920 + 0.276064i
\(573\) 0.122307 + 0.0786022i 0.00510946 + 0.00328365i
\(574\) 27.7564 1.15853
\(575\) 1.04361 4.68091i 0.0435216 0.195207i
\(576\) −2.99679 −0.124866
\(577\) −15.5563 9.99740i −0.647616 0.416197i 0.175179 0.984537i \(-0.443950\pi\)
−0.822794 + 0.568339i \(0.807586\pi\)
\(578\) 2.22385 + 15.4672i 0.0925001 + 0.643352i
\(579\) −0.262549 0.574903i −0.0109112 0.0238921i
\(580\) 2.67653 + 0.785900i 0.111137 + 0.0326327i
\(581\) −2.85744 + 6.25691i −0.118546 + 0.259581i
\(582\) −0.183193 + 0.211416i −0.00759360 + 0.00876348i
\(583\) −0.864236 + 6.01089i −0.0357930 + 0.248946i
\(584\) −1.61679 + 0.474734i −0.0669035 + 0.0196446i
\(585\) 5.88114 + 6.78719i 0.243155 + 0.280616i
\(586\) −14.3902 + 9.24799i −0.594452 + 0.382031i
\(587\) 29.2334 18.7871i 1.20659 0.775428i 0.226505 0.974010i \(-0.427270\pi\)
0.980084 + 0.198582i \(0.0636335\pi\)
\(588\) 0.670565 + 0.773873i 0.0276536 + 0.0319140i
\(589\) 55.2103 16.2112i 2.27490 0.667971i
\(590\) −0.230511 + 1.60324i −0.00948998 + 0.0660043i
\(591\) −0.282799 + 0.326367i −0.0116328 + 0.0134250i
\(592\) 0.207285 0.453891i 0.00851937 0.0186548i
\(593\) −35.4369 10.4052i −1.45522 0.427290i −0.543954 0.839115i \(-0.683074\pi\)
−0.911263 + 0.411824i \(0.864892\pi\)
\(594\) 0.314287 + 0.688192i 0.0128953 + 0.0282368i
\(595\) 0.835103 + 5.80827i 0.0342359 + 0.238116i
\(596\) 15.7313 + 10.1099i 0.644379 + 0.414117i
\(597\) −0.899960 −0.0368329
\(598\) 12.6495 6.82259i 0.517276 0.278997i
\(599\) −12.4422 −0.508376 −0.254188 0.967155i \(-0.581808\pi\)
−0.254188 + 0.967155i \(0.581808\pi\)
\(600\) −0.0476823 0.0306436i −0.00194662 0.00125102i
\(601\) −5.09668 35.4482i −0.207898 1.44596i −0.780000 0.625780i \(-0.784781\pi\)
0.572102 0.820182i \(-0.306128\pi\)
\(602\) 21.5807 + 47.2551i 0.879563 + 1.92597i
\(603\) 18.0405 + 5.29718i 0.734667 + 0.215718i
\(604\) 7.62986 16.7071i 0.310454 0.679801i
\(605\) −3.95905 + 4.56898i −0.160958 + 0.185756i
\(606\) −0.0205811 + 0.143145i −0.000836051 + 0.00581486i
\(607\) 22.7336 6.67518i 0.922728 0.270937i 0.214339 0.976759i \(-0.431240\pi\)
0.708389 + 0.705822i \(0.249422\pi\)
\(608\) 4.76388 + 5.49781i 0.193201 + 0.222966i
\(609\) −0.665932 + 0.427969i −0.0269849 + 0.0173422i
\(610\) 4.69971 3.02032i 0.190286 0.122289i
\(611\) 8.15579 + 9.41228i 0.329948 + 0.380780i
\(612\) 3.37012 0.989556i 0.136229 0.0400004i
\(613\) −1.53719 + 10.6914i −0.0620864 + 0.431821i 0.934943 + 0.354798i \(0.115450\pi\)
−0.997029 + 0.0770225i \(0.975459\pi\)
\(614\) −3.89474 + 4.49477i −0.157179 + 0.181394i
\(615\) 0.130537 0.285837i 0.00526377 0.0115261i
\(616\) −10.6925 3.13959i −0.430812 0.126498i
\(617\) 13.0078 + 28.4831i 0.523674 + 1.14669i 0.968030 + 0.250836i \(0.0807054\pi\)
−0.444356 + 0.895850i \(0.646567\pi\)
\(618\) −0.132758 0.923350i −0.00534030 0.0371426i
\(619\) −17.6406 11.3369i −0.709034 0.455668i 0.135773 0.990740i \(-0.456648\pi\)
−0.844807 + 0.535072i \(0.820285\pi\)
\(620\) −7.90982 −0.317666
\(621\) 1.15859 1.14669i 0.0464926 0.0460149i
\(622\) −20.0565 −0.804193
\(623\) −68.3325 43.9146i −2.73768 1.75940i
\(624\) −0.0241734 0.168130i −0.000967710 0.00673057i
\(625\) 0.415415 + 0.909632i 0.0166166 + 0.0363853i
\(626\) −19.9736 5.86479i −0.798307 0.234404i
\(627\) 0.381258 0.834838i 0.0152260 0.0333402i
\(628\) 8.18209 9.44264i 0.326501 0.376802i
\(629\) −0.0832307 + 0.578883i −0.00331863 + 0.0230816i
\(630\) −14.3959 + 4.22703i −0.573548 + 0.168409i
\(631\) 27.8855 + 32.1816i 1.11010 + 1.28113i 0.956094 + 0.293059i \(0.0946731\pi\)
0.154009 + 0.988069i \(0.450781\pi\)
\(632\) 9.30609 5.98066i 0.370177 0.237898i
\(633\) 0.0715263 0.0459672i 0.00284292 0.00182703i
\(634\) 8.89326 + 10.2634i 0.353196 + 0.407610i
\(635\) 3.29515 0.967542i 0.130764 0.0383957i
\(636\) 0.0220074 0.153065i 0.000872651 0.00606942i
\(637\) 35.4541 40.9162i 1.40474 1.62116i
\(638\) 2.57933 5.64794i 0.102117 0.223604i
\(639\) 28.1955 + 8.27895i 1.11540 + 0.327510i
\(640\) −0.415415 0.909632i −0.0164207 0.0359564i
\(641\) −0.342340 2.38103i −0.0135216 0.0940449i 0.981943 0.189177i \(-0.0605819\pi\)
−0.995465 + 0.0951317i \(0.969673\pi\)
\(642\) −0.928863 0.596944i −0.0366593 0.0235595i
\(643\) −38.7743 −1.52911 −0.764555 0.644558i \(-0.777041\pi\)
−0.764555 + 0.644558i \(0.777041\pi\)
\(644\) 1.58922 + 23.9581i 0.0626241 + 0.944082i
\(645\) 0.588128 0.0231575
\(646\) −7.17275 4.60965i −0.282208 0.181364i
\(647\) 0.00660976 + 0.0459719i 0.000259857 + 0.00180734i 0.989951 0.141411i \(-0.0451639\pi\)
−0.989691 + 0.143218i \(0.954255\pi\)
\(648\) 3.72673 + 8.16040i 0.146400 + 0.320571i
\(649\) 3.45921 + 1.01572i 0.135786 + 0.0398704i
\(650\) −1.24491 + 2.72598i −0.0488295 + 0.106922i
\(651\) 1.46990 1.69636i 0.0576100 0.0664855i
\(652\) −0.479906 + 3.33782i −0.0187946 + 0.130719i
\(653\) −5.71335 + 1.67759i −0.223581 + 0.0656492i −0.391604 0.920134i \(-0.628080\pi\)
0.168023 + 0.985783i \(0.446262\pi\)
\(654\) −0.105370 0.121603i −0.00412029 0.00475506i
\(655\) −16.0916 + 10.3415i −0.628753 + 0.404075i
\(656\) 4.66389 2.99730i 0.182094 0.117025i
\(657\) 3.30688 + 3.81634i 0.129014 + 0.148890i
\(658\) −19.9639 + 5.86192i −0.778273 + 0.228521i
\(659\) −4.23230 + 29.4363i −0.164867 + 1.14668i 0.724431 + 0.689348i \(0.242103\pi\)
−0.889298 + 0.457329i \(0.848806\pi\)
\(660\) −0.0826179 + 0.0953461i −0.00321590 + 0.00371134i
\(661\) −20.0026 + 43.7997i −0.778012 + 1.70361i −0.0698527 + 0.997557i \(0.522253\pi\)
−0.708160 + 0.706052i \(0.750474\pi\)
\(662\) 17.3727 + 5.10107i 0.675208 + 0.198259i
\(663\) 0.0827021 + 0.181092i 0.00321189 + 0.00703305i
\(664\) 0.195525 + 1.35991i 0.00758784 + 0.0527746i
\(665\) 30.6394 + 19.6908i 1.18815 + 0.763575i
\(666\) −1.49535 −0.0579435
\(667\) −13.3389 1.02327i −0.516484 0.0396213i
\(668\) 19.9217 0.770793
\(669\) 0.424740 + 0.272964i 0.0164214 + 0.0105534i
\(670\) 0.892898 + 6.21024i 0.0344957 + 0.239923i
\(671\) −5.16559 11.3111i −0.199416 0.436659i
\(672\) 0.272279 + 0.0799484i 0.0105034 + 0.00308408i
\(673\) −10.1331 + 22.1883i −0.390600 + 0.855296i 0.607537 + 0.794291i \(0.292158\pi\)
−0.998138 + 0.0610043i \(0.980570\pi\)
\(674\) 12.6155 14.5590i 0.485930 0.560794i
\(675\) −0.0483726 + 0.336439i −0.00186186 + 0.0129495i
\(676\) 3.85644 1.13235i 0.148324 0.0435520i
\(677\) 9.92255 + 11.4512i 0.381354 + 0.440106i 0.913681 0.406433i \(-0.133227\pi\)
−0.532326 + 0.846539i \(0.678682\pi\)
\(678\) 0.423870 0.272405i 0.0162786 0.0104616i
\(679\) −20.7873 + 13.3592i −0.797744 + 0.512679i
\(680\) 0.767532 + 0.885779i 0.0294335 + 0.0339681i
\(681\) −0.233571 + 0.0685827i −0.00895047 + 0.00262810i
\(682\) −2.50560 + 17.4268i −0.0959443 + 0.667307i
\(683\) 18.2541 21.0664i 0.698474 0.806082i −0.290071 0.957005i \(-0.593679\pi\)
0.988546 + 0.150923i \(0.0482244\pi\)
\(684\) 9.05628 19.8305i 0.346275 0.758237i
\(685\) −16.3269 4.79402i −0.623820 0.183170i
\(686\) 23.0151 + 50.3961i 0.878723 + 1.92413i
\(687\) −0.144362 1.00406i −0.00550777 0.0383074i
\(688\) 8.72906 + 5.60983i 0.332792 + 0.213873i
\(689\) −8.17607 −0.311483
\(690\) 0.254196 + 0.0963081i 0.00967706 + 0.00366639i
\(691\) −23.9305 −0.910361 −0.455180 0.890399i \(-0.650425\pi\)
−0.455180 + 0.890399i \(0.650425\pi\)
\(692\) −14.3666 9.23286i −0.546137 0.350981i
\(693\) 4.75272 + 33.0559i 0.180541 + 1.25569i
\(694\) −1.63180 3.57315i −0.0619424 0.135635i
\(695\) 3.78934 + 1.11265i 0.143738 + 0.0422052i
\(696\) −0.0656815 + 0.143822i −0.00248965 + 0.00545158i
\(697\) −4.25518 + 4.91074i −0.161176 + 0.186008i
\(698\) −1.94051 + 13.4966i −0.0734495 + 0.510853i
\(699\) 1.48285 0.435404i 0.0560865 0.0164685i
\(700\) −3.27862 3.78373i −0.123920 0.143012i
\(701\) −6.75530 + 4.34137i −0.255144 + 0.163971i −0.661960 0.749539i \(-0.730275\pi\)
0.406816 + 0.913510i \(0.366639\pi\)
\(702\) −0.856905 + 0.550700i −0.0323418 + 0.0207848i
\(703\) 2.37710 + 2.74332i 0.0896539 + 0.103466i
\(704\) −2.13568 + 0.627092i −0.0804914 + 0.0236344i
\(705\) −0.0335229 + 0.233157i −0.00126255 + 0.00878120i
\(706\) −0.634437 + 0.732180i −0.0238774 + 0.0275559i
\(707\) −5.30655 + 11.6197i −0.199574 + 0.437005i
\(708\) −0.0880874 0.0258648i −0.00331053 0.000972058i
\(709\) −17.5963 38.5305i −0.660842 1.44704i −0.881735 0.471745i \(-0.843624\pi\)
0.220893 0.975298i \(-0.429103\pi\)
\(710\) 1.39551 + 9.70597i 0.0523725 + 0.364259i
\(711\) −27.8884 17.9228i −1.04590 0.672157i
\(712\) −16.2240 −0.608020
\(713\) 37.1084 7.87198i 1.38972 0.294808i
\(714\) −0.332599 −0.0124472
\(715\) 5.61148 + 3.60628i 0.209858 + 0.134867i
\(716\) 1.85638 + 12.9114i 0.0693761 + 0.482522i
\(717\) 0.325912 + 0.713648i 0.0121714 + 0.0266517i
\(718\) −13.6264 4.00108i −0.508533 0.149319i
\(719\) −4.68213 + 10.2524i −0.174614 + 0.382352i −0.976623 0.214961i \(-0.931038\pi\)
0.802009 + 0.597313i \(0.203765\pi\)
\(720\) −1.96248 + 2.26482i −0.0731373 + 0.0844049i
\(721\) 11.7266 81.5601i 0.436721 3.03746i
\(722\) −32.5464 + 9.55649i −1.21125 + 0.355656i
\(723\) 0.561054 + 0.647491i 0.0208658 + 0.0240804i
\(724\) −5.13843 + 3.30227i −0.190968 + 0.122728i
\(725\) 2.34670 1.50813i 0.0871542 0.0560106i
\(726\) −0.224399 0.258970i −0.00832823 0.00961130i
\(727\) 8.53656 2.50656i 0.316604 0.0929632i −0.119570 0.992826i \(-0.538152\pi\)
0.436173 + 0.899863i \(0.356333\pi\)
\(728\) 2.13525 14.8510i 0.0791377 0.550415i
\(729\) 17.5677 20.2742i 0.650657 0.750898i
\(730\) −0.699996 + 1.53278i −0.0259080 + 0.0567306i
\(731\) −11.6689 3.42630i −0.431590 0.126726i
\(732\) 0.131540 + 0.288032i 0.00486185 + 0.0106460i
\(733\) 4.38426 + 30.4932i 0.161936 + 1.12629i 0.894979 + 0.446109i \(0.147191\pi\)
−0.733042 + 0.680183i \(0.761900\pi\)
\(734\) 10.8563 + 6.97694i 0.400714 + 0.257524i
\(735\) 1.02398 0.0377701
\(736\) 2.85417 + 3.85405i 0.105206 + 0.142062i
\(737\) 13.9652 0.514413
\(738\) −13.9767 8.98228i −0.514489 0.330642i
\(739\) −0.0837407 0.582429i −0.00308045 0.0214250i 0.988223 0.153019i \(-0.0488996\pi\)
−0.991304 + 0.131594i \(0.957990\pi\)
\(740\) −0.207285 0.453891i −0.00761996 0.0166854i
\(741\) 1.18561 + 0.348126i 0.0435543 + 0.0127887i
\(742\) 5.67430 12.4250i 0.208310 0.456136i
\(743\) 4.66933 5.38869i 0.171301 0.197692i −0.663607 0.748081i \(-0.730975\pi\)
0.834908 + 0.550389i \(0.185521\pi\)
\(744\) 0.0638040 0.443766i 0.00233917 0.0162693i
\(745\) 17.9424 5.26835i 0.657357 0.193017i
\(746\) 19.9793 + 23.0573i 0.731493 + 0.844187i
\(747\) 3.46366 2.22596i 0.126729 0.0814435i
\(748\) 2.19467 1.41043i 0.0802449 0.0515703i
\(749\) −63.8683 73.7079i −2.33370 2.69323i
\(750\) −0.0543842 + 0.0159686i −0.00198583 + 0.000583092i
\(751\) 0.757790 5.27054i 0.0276521 0.192325i −0.971313 0.237804i \(-0.923572\pi\)
0.998965 + 0.0454792i \(0.0144815\pi\)
\(752\) −2.72151 + 3.14079i −0.0992432 + 0.114533i
\(753\) −0.462594 + 1.01294i −0.0168579 + 0.0369136i
\(754\) 8.02100 + 2.35518i 0.292108 + 0.0857705i
\(755\) −7.62986 16.7071i −0.277679 0.608032i
\(756\) −0.242182 1.68441i −0.00880807 0.0612615i
\(757\) −31.2522 20.0845i −1.13588 0.729985i −0.169100 0.985599i \(-0.554086\pi\)
−0.966779 + 0.255614i \(0.917722\pi\)
\(758\) −6.87704 −0.249785
\(759\) 0.292706 0.529532i 0.0106246 0.0192208i
\(760\) 7.27464 0.263879
\(761\) 21.7711 + 13.9915i 0.789203 + 0.507190i 0.872076 0.489370i \(-0.162773\pi\)
−0.0828730 + 0.996560i \(0.526410\pi\)
\(762\) 0.0277022 + 0.192673i 0.00100354 + 0.00697980i
\(763\) −5.90420 12.9284i −0.213746 0.468039i
\(764\) 2.46114 + 0.722657i 0.0890410 + 0.0261448i
\(765\) 1.45910 3.19499i 0.0527539 0.115515i
\(766\) 9.19389 10.6103i 0.332189 0.383366i
\(767\) −0.690793 + 4.80457i −0.0249431 + 0.173483i
\(768\) 0.0543842 0.0159686i 0.00196242 0.000576218i
\(769\) 25.6841 + 29.6411i 0.926193 + 1.06888i 0.997446 + 0.0714258i \(0.0227549\pi\)
−0.0712525 + 0.997458i \(0.522700\pi\)
\(770\) −9.37483 + 6.02484i −0.337845 + 0.217120i
\(771\) −0.0646771 + 0.0415655i −0.00232929 + 0.00149694i
\(772\) −7.30208 8.42705i −0.262808 0.303296i
\(773\) 29.8695 8.77048i 1.07433 0.315452i 0.303723 0.952761i \(-0.401770\pi\)
0.770609 + 0.637308i \(0.219952\pi\)
\(774\) 4.42534 30.7789i 0.159066 1.10633i
\(775\) −5.17983 + 5.97785i −0.186065 + 0.214731i
\(776\) −2.05027 + 4.48947i −0.0736005 + 0.161163i
\(777\) 0.135863 + 0.0398930i 0.00487406 + 0.00143115i
\(778\) 3.06029 + 6.70110i 0.109717 + 0.240246i
\(779\) 5.73962 + 39.9200i 0.205643 + 1.43028i
\(780\) −0.142894 0.0918324i −0.00511643 0.00328813i
\(781\) 21.8261 0.781000
\(782\) −4.48236 3.39171i −0.160289 0.121287i
\(783\) 0.948156 0.0338843
\(784\) 15.1981 + 9.76720i 0.542788 + 0.348829i
\(785\) −1.77814 12.3672i −0.0634645 0.441405i
\(786\) −0.450388 0.986211i −0.0160648 0.0351770i
\(787\) 10.0639 + 2.95504i 0.358741 + 0.105336i 0.456136 0.889910i \(-0.349233\pi\)
−0.0973953 + 0.995246i \(0.531051\pi\)
\(788\) −3.16505 + 6.93049i −0.112750 + 0.246888i
\(789\) 0.347087 0.400560i 0.0123566 0.0142603i
\(790\) 1.57431 10.9496i 0.0560115 0.389568i
\(791\) 42.7031 12.5388i 1.51835 0.445827i
\(792\) 4.36817 + 5.04113i 0.155216 + 0.179129i
\(793\) 14.0840 9.05126i 0.500139 0.321420i
\(794\) −21.3786 + 13.7392i −0.758697 + 0.487585i
\(795\) −0.101267 0.116868i −0.00359157 0.00414489i
\(796\) −15.2347 + 4.47332i −0.539980 + 0.158553i
\(797\) −3.55693 + 24.7390i −0.125993 + 0.876300i 0.824568 + 0.565763i \(0.191418\pi\)
−0.950561 + 0.310538i \(0.899491\pi\)
\(798\) −1.35187 + 1.56014i −0.0478555 + 0.0552282i
\(799\) 2.02344 4.43071i 0.0715841 0.156747i
\(800\) −0.959493 0.281733i −0.0339232 0.00996075i
\(801\) 20.1974 + 44.2262i 0.713641 + 1.56266i
\(802\) 2.17985 + 15.1612i 0.0769731 + 0.535360i
\(803\) 3.15525 + 2.02776i 0.111346 + 0.0715580i
\(804\) −0.355617 −0.0125416
\(805\) 19.1471 + 14.4882i 0.674845 + 0.510641i
\(806\) −23.7041 −0.834941
\(807\) −0.952374 0.612053i −0.0335251 0.0215453i
\(808\) 0.363110 + 2.52549i 0.0127742 + 0.0888463i
\(809\) 16.7736 + 36.7290i 0.589727 + 1.29132i 0.935607 + 0.353044i \(0.114853\pi\)
−0.345880 + 0.938279i \(0.612419\pi\)
\(810\) 8.60770 + 2.52745i 0.302444 + 0.0888055i
\(811\) −1.90649 + 4.17462i −0.0669458 + 0.146591i −0.940147 0.340769i \(-0.889313\pi\)
0.873201 + 0.487360i \(0.162040\pi\)
\(812\) −9.14580 + 10.5548i −0.320954 + 0.370401i
\(813\) 0.180196 1.25329i 0.00631974 0.0439548i
\(814\) −1.06567 + 0.312909i −0.0373517 + 0.0109674i
\(815\) 2.20828 + 2.54850i 0.0773528 + 0.0892699i
\(816\) −0.0558863 + 0.0359159i −0.00195641 + 0.00125731i
\(817\) −63.5008 + 40.8095i −2.22161 + 1.42774i
\(818\) 0.102350 + 0.118119i 0.00357860 + 0.00412992i
\(819\) −43.1416 + 12.6675i −1.50749 + 0.442639i
\(820\) 0.788991 5.48755i 0.0275527 0.191634i
\(821\) 7.62694 8.80195i 0.266182 0.307190i −0.606886 0.794789i \(-0.707582\pi\)
0.873068 + 0.487599i \(0.162127\pi\)
\(822\) 0.400660 0.877323i 0.0139746 0.0306001i
\(823\) −52.3855 15.3818i −1.82604 0.536175i −0.826406 0.563074i \(-0.809618\pi\)
−0.999638 + 0.0268994i \(0.991437\pi\)
\(824\) −6.83693 14.9708i −0.238176 0.521532i
\(825\) 0.0179546 + 0.124877i 0.000625098 + 0.00434765i
\(826\) −6.82198 4.38422i −0.237367 0.152547i
\(827\) 20.8693 0.725695 0.362848 0.931849i \(-0.381805\pi\)
0.362848 + 0.931849i \(0.381805\pi\)
\(828\) 6.95285 12.5783i 0.241628 0.437128i
\(829\) 11.1291 0.386529 0.193265 0.981147i \(-0.438092\pi\)
0.193265 + 0.981147i \(0.438092\pi\)
\(830\) 1.15579 + 0.742781i 0.0401181 + 0.0257823i
\(831\) −0.146872 1.02152i −0.00509493 0.0354360i
\(832\) −1.24491 2.72598i −0.0431596 0.0945063i
\(833\) −20.3166 5.96548i −0.703927 0.206692i
\(834\) −0.0929897 + 0.203619i −0.00321997 + 0.00705075i
\(835\) 13.0459 15.0558i 0.451473 0.521028i
\(836\) 2.30439 16.0274i 0.0796990 0.554319i
\(837\) −2.57963 + 0.757449i −0.0891652 + 0.0261813i
\(838\) 14.4425 + 16.6676i 0.498909 + 0.575771i
\(839\) −7.78426 + 5.00264i −0.268742 + 0.172710i −0.668071 0.744098i \(-0.732880\pi\)
0.399328 + 0.916808i \(0.369243\pi\)
\(840\) 0.238726 0.153420i 0.00823683 0.00529349i
\(841\) 13.8952 + 16.0359i 0.479145 + 0.552962i
\(842\) 28.9236 8.49274i 0.996774 0.292679i
\(843\) 0.0866636 0.602759i 0.00298485 0.0207601i
\(844\) 0.982329 1.13367i 0.0338132 0.0390225i
\(845\) 1.66965 3.65603i 0.0574378 0.125771i
\(846\) 11.9497 + 3.50876i 0.410840 + 0.120634i
\(847\) −12.5738 27.5327i −0.432040 0.946036i
\(848\) −0.388274 2.70050i −0.0133334 0.0927357i
\(849\) 0.511017 + 0.328411i 0.0175381 + 0.0112710i
\(850\) 1.17205 0.0402011
\(851\) 1.42418 + 1.92311i 0.0488204 + 0.0659233i
\(852\) −0.555793 −0.0190411
\(853\) 15.0189 + 9.65208i 0.514238 + 0.330481i 0.771889 0.635757i \(-0.219312\pi\)
−0.257651 + 0.966238i \(0.582948\pi\)
\(854\) 3.98049 + 27.6849i 0.136209 + 0.947358i
\(855\) −9.05628 19.8305i −0.309718 0.678188i
\(856\) −18.6911 5.48821i −0.638850 0.187583i
\(857\) −1.70010 + 3.72270i −0.0580743 + 0.127165i −0.936444 0.350816i \(-0.885904\pi\)
0.878370 + 0.477981i \(0.158631\pi\)
\(858\) −0.247588 + 0.285732i −0.00845253 + 0.00975474i
\(859\) 6.55930 45.6209i 0.223800 1.55657i −0.499673 0.866214i \(-0.666546\pi\)
0.723473 0.690352i \(-0.242544\pi\)
\(860\) 9.95595 2.92333i 0.339495 0.0996847i
\(861\) 1.03025 + 1.18897i 0.0351109 + 0.0405201i
\(862\) −2.01565 + 1.29538i −0.0686533 + 0.0441208i
\(863\) 41.0830 26.4024i 1.39848 0.898750i 0.398650 0.917103i \(-0.369479\pi\)
0.999832 + 0.0183533i \(0.00584236\pi\)
\(864\) −0.222586 0.256878i −0.00757254 0.00873918i
\(865\) −16.3859 + 4.81132i −0.557136 + 0.163590i
\(866\) 4.34732 30.2363i 0.147728 1.02747i
\(867\) −0.580010 + 0.669367i −0.0196982 + 0.0227329i
\(868\) 16.4510 36.0226i 0.558382 1.22269i
\(869\) −23.6253 6.93700i −0.801432 0.235322i
\(870\) 0.0656815 + 0.143822i 0.00222681 + 0.00487604i
\(871\) 2.67583 + 18.6108i 0.0906670 + 0.630603i
\(872\) −2.38816 1.53478i −0.0808733 0.0519741i
\(873\) 14.7906 0.500585
\(874\) −34.1285 + 7.23984i −1.15441 + 0.244891i
\(875\) −5.00659 −0.169254
\(876\) −0.0803472 0.0516360i −0.00271468 0.00174462i
\(877\) −0.506066 3.51976i −0.0170886 0.118854i 0.979492 0.201485i \(-0.0645768\pi\)
−0.996580 + 0.0826311i \(0.973668\pi\)
\(878\) 2.37980 + 5.21103i 0.0803143 + 0.175864i
\(879\) −0.930274 0.273153i −0.0313774 0.00921323i
\(880\) −0.924648 + 2.02470i −0.0311699 + 0.0682525i
\(881\) 2.42339 2.79674i 0.0816462 0.0942247i −0.713457 0.700699i \(-0.752871\pi\)
0.795103 + 0.606475i \(0.207417\pi\)
\(882\) 7.70491 53.5888i 0.259438 1.80443i
\(883\) −46.9269 + 13.7790i −1.57921 + 0.463699i −0.949667 0.313262i \(-0.898578\pi\)
−0.629548 + 0.776962i \(0.716760\pi\)
\(884\) 2.30013 + 2.65449i 0.0773618 + 0.0892803i
\(885\) −0.0772323 + 0.0496342i −0.00259613 + 0.00166843i
\(886\) 22.1569 14.2394i 0.744375 0.478381i
\(887\) −9.33114 10.7687i −0.313309 0.361578i 0.577153 0.816636i \(-0.304164\pi\)
−0.890462 + 0.455059i \(0.849618\pi\)
\(888\) 0.0271368 0.00796809i 0.000910652 0.000267391i
\(889\) −2.44695 + 17.0189i −0.0820681 + 0.570796i
\(890\) −10.6245 + 12.2613i −0.356133 + 0.410999i
\(891\) 8.29511 18.1637i 0.277896 0.608508i
\(892\) 8.54688 + 2.50959i 0.286171 + 0.0840273i
\(893\) −12.5590 27.5003i −0.420270 0.920264i
\(894\) 0.150841 + 1.04912i 0.00504487 + 0.0350878i
\(895\) 10.9735 + 7.05221i 0.366802 + 0.235729i
\(896\) 5.00659 0.167259
\(897\) 0.761771 + 0.288615i 0.0254348 + 0.00963658i
\(898\) 10.8553 0.362246
\(899\) 18.5620 + 11.9291i 0.619076 + 0.397856i
\(900\) 0.426487 + 2.96628i 0.0142162 + 0.0988761i
\(901\) 1.32837 + 2.90871i 0.0442543 + 0.0969033i
\(902\) −11.8402 3.47659i −0.394234 0.115758i
\(903\) −1.22320 + 2.67842i −0.0407054 + 0.0891324i
\(904\) 5.82135 6.71820i 0.193615 0.223444i
\(905\) −0.869269 + 6.04590i −0.0288955 + 0.200972i
\(906\) 0.998865 0.293293i 0.0331851 0.00974401i
\(907\) −27.4856 31.7200i −0.912643 1.05325i −0.998378 0.0569280i \(-0.981869\pi\)
0.0857355 0.996318i \(-0.472676\pi\)
\(908\) −3.61305 + 2.32197i −0.119903 + 0.0770572i
\(909\) 6.43237 4.13383i 0.213348 0.137111i
\(910\) −9.82534 11.3390i −0.325707 0.375886i
\(911\) 42.4293 12.4584i 1.40575 0.412764i 0.511093 0.859526i \(-0.329241\pi\)
0.894653 + 0.446761i \(0.147423\pi\)
\(912\) −0.0586803 + 0.408131i −0.00194310 + 0.0135146i
\(913\) 2.00261 2.31113i 0.0662766 0.0764872i
\(914\) −0.726461 + 1.59073i −0.0240292 + 0.0526166i
\(915\) 0.303820 + 0.0892096i 0.0100440 + 0.00294918i
\(916\) −7.43456 16.2794i −0.245645 0.537887i
\(917\) −13.6291 94.7922i −0.450071 3.13031i
\(918\) 0.335138 + 0.215380i 0.0110612 + 0.00710860i
\(919\) 1.40847 0.0464612 0.0232306 0.999730i \(-0.492605\pi\)
0.0232306 + 0.999730i \(0.492605\pi\)
\(920\) 4.78178 + 0.366827i 0.157651 + 0.0120939i
\(921\) −0.337102 −0.0111079
\(922\) −7.22013 4.64010i −0.237782 0.152813i
\(923\) 4.18205 + 29.0868i 0.137654 + 0.957403i
\(924\) −0.262391 0.574557i −0.00863204 0.0189015i
\(925\) −0.478771 0.140580i −0.0157419 0.00462224i
\(926\) 1.20622 2.64125i 0.0396387 0.0867967i
\(927\) −32.2986 + 37.2746i −1.06083 + 1.22426i
\(928\) −0.396991 + 2.76113i −0.0130319 + 0.0906386i
\(929\) 26.7756 7.86202i 0.878478 0.257945i 0.188761 0.982023i \(-0.439553\pi\)
0.689718 + 0.724079i \(0.257735\pi\)
\(930\) −0.293594 0.338825i −0.00962731 0.0111105i
\(931\) −110.560 + 71.0529i −3.62347 + 2.32866i
\(932\) 22.9378 14.7412i 0.751352 0.482865i
\(933\) −0.744449 0.859140i −0.0243722 0.0281270i
\(934\) −19.7382 + 5.79566i −0.645853 + 0.189640i
\(935\) 0.371272 2.58225i 0.0121419 0.0844486i
\(936\) −5.88114 + 6.78719i −0.192231 + 0.221846i
\(937\) 24.3737 53.3710i 0.796254 1.74355i 0.138442 0.990370i \(-0.455790\pi\)
0.657812 0.753183i \(-0.271482\pi\)
\(938\) −30.1395 8.84975i −0.984089 0.288955i
\(939\) −0.490149 1.07328i −0.0159954 0.0350251i
\(940\) 0.591440 + 4.11356i 0.0192907 + 0.134169i
\(941\) 3.87817 + 2.49235i 0.126425 + 0.0812481i 0.602325 0.798251i \(-0.294241\pi\)
−0.475900 + 0.879499i \(0.657878\pi\)
\(942\) 0.708184 0.0230739
\(943\) 1.75980 + 26.5297i 0.0573070 + 0.863926i
\(944\) −1.61972 −0.0527176
\(945\) −1.43159 0.920027i −0.0465696 0.0299285i
\(946\) −3.28689 22.8608i −0.106866 0.743269i
\(947\) −4.57794 10.0243i −0.148763 0.325746i 0.820550 0.571574i \(-0.193667\pi\)
−0.969313 + 0.245829i \(0.920940\pi\)
\(948\) 0.601607 + 0.176648i 0.0195393 + 0.00573725i
\(949\) −2.09774 + 4.59341i −0.0680955 + 0.149108i
\(950\) 4.76388 5.49781i 0.154561 0.178372i
\(951\) −0.109545 + 0.761903i −0.00355224 + 0.0247064i
\(952\) −5.63030 + 1.65320i −0.182479 + 0.0535807i
\(953\) 10.5982 + 12.2310i 0.343310 + 0.396201i 0.900979 0.433862i \(-0.142850\pi\)
−0.557669 + 0.830063i \(0.688304\pi\)
\(954\) −6.87814 + 4.42031i −0.222688 + 0.143113i
\(955\) 2.15785 1.38677i 0.0698265 0.0448748i
\(956\) 9.06435 + 10.4608i 0.293162 + 0.338327i
\(957\) 0.337674 0.0991499i 0.0109154 0.00320506i
\(958\) −0.530105 + 3.68696i −0.0171269 + 0.119120i
\(959\) 55.7897 64.3848i 1.80154 2.07909i
\(960\) 0.0235458 0.0515580i 0.000759937 0.00166403i
\(961\) −30.2867 8.89298i −0.976990 0.286870i
\(962\) −0.621191 1.36022i −0.0200280 0.0438552i
\(963\) 8.30807 + 57.7839i 0.267724 + 1.86206i
\(964\) 12.7160 + 8.17210i 0.409556 + 0.263206i
\(965\) −11.1506 −0.358950
\(966\) −0.967281 + 0.957343i −0.0311218 + 0.0308020i
\(967\) −47.3630 −1.52309 −0.761546 0.648111i \(-0.775559\pi\)
−0.761546 + 0.648111i \(0.775559\pi\)
\(968\) −5.08591 3.26851i −0.163467 0.105054i
\(969\) −0.0687765 0.478351i −0.00220942 0.0153668i
\(970\) 2.05027 + 4.48947i 0.0658303 + 0.144148i
\(971\) −25.6518 7.53206i −0.823206 0.241715i −0.157110 0.987581i \(-0.550218\pi\)
−0.666096 + 0.745866i \(0.732036\pi\)
\(972\) −0.634828 + 1.39008i −0.0203621 + 0.0445868i
\(973\) −12.9483 + 14.9431i −0.415104 + 0.479055i
\(974\) −3.53307 + 24.5730i −0.113207 + 0.787371i
\(975\) −0.162978 + 0.0478547i −0.00521947 + 0.00153258i
\(976\) 3.65841 + 4.22203i 0.117103 + 0.135144i
\(977\) 48.3742 31.0882i 1.54763 0.994600i 0.561718 0.827329i \(-0.310141\pi\)
0.985911 0.167271i \(-0.0534956\pi\)
\(978\) −0.160792 + 0.103335i −0.00514155 + 0.00330427i
\(979\) 23.6484 + 27.2917i 0.755805 + 0.872246i
\(980\) 17.3342 5.08977i 0.553720 0.162587i
\(981\) −1.21072 + 8.42072i −0.0386552 + 0.268853i
\(982\) 22.8569 26.3782i 0.729392 0.841764i
\(983\) 2.99332 6.55445i 0.0954720 0.209055i −0.855870 0.517190i \(-0.826978\pi\)
0.951342 + 0.308136i \(0.0997051\pi\)
\(984\) 0.301505 + 0.0885298i 0.00961162 + 0.00282223i
\(985\) 3.16505 + 6.93049i 0.100847 + 0.220824i
\(986\) −0.465294 3.23619i −0.0148180 0.103061i
\(987\) −0.992112 0.637591i −0.0315793 0.0202948i
\(988\) 21.8006 0.693569
\(989\) −43.7983 + 23.6229i −1.39271 + 0.751165i
\(990\) 6.67037 0.211998
\(991\) −15.9174 10.2295i −0.505632 0.324950i 0.262834 0.964841i \(-0.415343\pi\)
−0.768465 + 0.639891i \(0.778979\pi\)
\(992\) −1.12569 7.82931i −0.0357405 0.248581i
\(993\) 0.426322 + 0.933514i 0.0135289 + 0.0296242i
\(994\) −47.1049 13.8312i −1.49408 0.438701i
\(995\) −6.59591 + 14.4430i −0.209104 + 0.457875i
\(996\) −0.0509955 + 0.0588520i −0.00161585 + 0.00186480i
\(997\) −4.44767 + 30.9342i −0.140859 + 0.979696i 0.789684 + 0.613514i \(0.210244\pi\)
−0.930543 + 0.366182i \(0.880665\pi\)
\(998\) 12.7744 3.75090i 0.404366 0.118733i
\(999\) −0.111067 0.128178i −0.00351400 0.00405537i
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 230.2.g.d.71.2 30
23.9 even 11 5290.2.a.bk.1.8 15
23.12 even 11 inner 230.2.g.d.81.2 yes 30
23.14 odd 22 5290.2.a.bl.1.8 15
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.g.d.71.2 30 1.1 even 1 trivial
230.2.g.d.81.2 yes 30 23.12 even 11 inner
5290.2.a.bk.1.8 15 23.9 even 11
5290.2.a.bl.1.8 15 23.14 odd 22