Properties

Label 912.2.bu.a.715.50
Level $912$
Weight $2$
Character 912.715
Analytic conductor $7.282$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [912,2,Mod(259,912)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(912, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 9, 0, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("912.259");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 912 = 2^{4} \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 912.bu (of order \(12\), degree \(4\), 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: \(7.28235666434\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(80\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 715.50
Character \(\chi\) \(=\) 912.715
Dual form 912.2.bu.a.787.50

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.520421 + 1.31498i) q^{2} +(0.965926 + 0.258819i) q^{3} +(-1.45832 + 1.36868i) q^{4} +(0.825723 - 3.08164i) q^{5} +(0.162347 + 1.40486i) q^{6} -4.77320 q^{7} +(-2.55873 - 1.20537i) q^{8} +(0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(0.520421 + 1.31498i) q^{2} +(0.965926 + 0.258819i) q^{3} +(-1.45832 + 1.36868i) q^{4} +(0.825723 - 3.08164i) q^{5} +(0.162347 + 1.40486i) q^{6} -4.77320 q^{7} +(-2.55873 - 1.20537i) q^{8} +(0.866025 + 0.500000i) q^{9} +(4.48200 - 0.517943i) q^{10} +(0.955847 - 0.955847i) q^{11} +(-1.76287 + 0.944603i) q^{12} +(-6.88440 + 1.84467i) q^{13} +(-2.48407 - 6.27665i) q^{14} +(1.59517 - 2.76292i) q^{15} +(0.253420 - 3.99196i) q^{16} +(0.521470 + 0.903213i) q^{17} +(-0.206790 + 1.39901i) q^{18} +(-3.97104 - 1.79745i) q^{19} +(3.01361 + 5.62418i) q^{20} +(-4.61056 - 1.23540i) q^{21} +(1.75436 + 0.759474i) q^{22} +(0.680206 - 1.17815i) q^{23} +(-2.15957 - 1.82655i) q^{24} +(-4.48455 - 2.58916i) q^{25} +(-6.00848 - 8.09281i) q^{26} +(0.707107 + 0.707107i) q^{27} +(6.96088 - 6.53300i) q^{28} +(5.35271 - 1.43425i) q^{29} +(4.46334 + 0.659733i) q^{30} -7.22667 q^{31} +(5.38122 - 1.74426i) q^{32} +(1.17067 - 0.675886i) q^{33} +(-0.916320 + 1.15577i) q^{34} +(-3.94134 + 14.7093i) q^{35} +(-1.94729 + 0.456151i) q^{36} +(2.28111 - 2.28111i) q^{37} +(0.296999 - 6.15726i) q^{38} -7.12725 q^{39} +(-5.82732 + 6.88977i) q^{40} +(-1.92169 - 3.32846i) q^{41} +(-0.774915 - 6.70570i) q^{42} +(-2.06431 - 0.553130i) q^{43} +(-0.0856847 + 2.70219i) q^{44} +(2.25592 - 2.25592i) q^{45} +(1.90323 + 0.281320i) q^{46} +(-11.6255 - 6.71197i) q^{47} +(1.27798 - 3.79035i) q^{48} +15.7835 q^{49} +(1.07083 - 7.24453i) q^{50} +(0.269933 + 1.00740i) q^{51} +(7.51492 - 12.1127i) q^{52} +(-1.05986 - 3.95546i) q^{53} +(-0.561835 + 1.29782i) q^{54} +(-2.15631 - 3.73484i) q^{55} +(12.2133 + 5.75348i) q^{56} +(-3.37051 - 2.76399i) q^{57} +(4.67167 + 6.29227i) q^{58} +(-1.14471 + 4.27211i) q^{59} +(1.45528 + 6.21252i) q^{60} +(2.22000 + 8.28516i) q^{61} +(-3.76091 - 9.50290i) q^{62} +(-4.13372 - 2.38660i) q^{63} +(5.09416 + 6.16843i) q^{64} +22.7384i q^{65} +(1.49801 + 1.18766i) q^{66} +(0.128871 + 0.480953i) q^{67} +(-1.99668 - 0.603451i) q^{68} +(0.961956 - 0.961956i) q^{69} +(-21.3935 + 2.47225i) q^{70} +(-6.16894 + 3.56164i) q^{71} +(-1.61324 - 2.32325i) q^{72} +(4.49616 - 2.59586i) q^{73} +(4.18674 + 1.81247i) q^{74} +(-3.66162 - 3.66162i) q^{75} +(8.25121 - 2.81382i) q^{76} +(-4.56246 + 4.56246i) q^{77} +(-3.70917 - 9.37216i) q^{78} +(5.32795 + 9.22827i) q^{79} +(-12.0925 - 4.07720i) q^{80} +(0.500000 + 0.866025i) q^{81} +(3.37676 - 4.25917i) q^{82} +(11.0024 + 11.0024i) q^{83} +(8.41456 - 4.50878i) q^{84} +(3.21397 - 0.861180i) q^{85} +(-0.346957 - 3.00238i) q^{86} +5.54153 q^{87} +(-3.59790 + 1.29360i) q^{88} +(6.47336 - 11.2122i) q^{89} +(4.14050 + 1.79245i) q^{90} +(32.8606 - 8.80498i) q^{91} +(0.620553 + 2.64911i) q^{92} +(-6.98043 - 1.87040i) q^{93} +(2.77594 - 18.7803i) q^{94} +(-8.81808 + 10.7531i) q^{95} +(5.64931 - 0.292062i) q^{96} +(-12.1995 + 7.04336i) q^{97} +(8.21405 + 20.7549i) q^{98} +(1.30571 - 0.349864i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q+O(q^{10}) \) Copy content Toggle raw display \( 320 q - 48 q^{10} - 4 q^{16} + 8 q^{19} + 8 q^{24} - 40 q^{26} + 40 q^{28} + 60 q^{32} - 60 q^{34} + 48 q^{35} - 4 q^{36} + 96 q^{38} - 60 q^{40} - 56 q^{44} + 320 q^{49} + 24 q^{51} - 48 q^{52} - 4 q^{54} + 56 q^{58} + 32 q^{61} - 24 q^{62} - 72 q^{64} - 48 q^{66} - 32 q^{68} + 72 q^{70} - 40 q^{74} + 16 q^{76} - 72 q^{78} + 64 q^{80} + 160 q^{81} + 80 q^{83} + 16 q^{85} + 24 q^{92} + 40 q^{96} - 84 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(229\) \(305\) \(799\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.520421 + 1.31498i 0.367993 + 0.929829i
\(3\) 0.965926 + 0.258819i 0.557678 + 0.149429i
\(4\) −1.45832 + 1.36868i −0.729162 + 0.684341i
\(5\) 0.825723 3.08164i 0.369274 1.37815i −0.492259 0.870449i \(-0.663829\pi\)
0.861533 0.507702i \(-0.169505\pi\)
\(6\) 0.162347 + 1.40486i 0.0662779 + 0.573533i
\(7\) −4.77320 −1.80410 −0.902051 0.431630i \(-0.857939\pi\)
−0.902051 + 0.431630i \(0.857939\pi\)
\(8\) −2.55873 1.20537i −0.904646 0.426163i
\(9\) 0.866025 + 0.500000i 0.288675 + 0.166667i
\(10\) 4.48200 0.517943i 1.41733 0.163788i
\(11\) 0.955847 0.955847i 0.288199 0.288199i −0.548169 0.836368i \(-0.684675\pi\)
0.836368 + 0.548169i \(0.184675\pi\)
\(12\) −1.76287 + 0.944603i −0.508898 + 0.272683i
\(13\) −6.88440 + 1.84467i −1.90939 + 0.511619i −0.915339 + 0.402684i \(0.868077\pi\)
−0.994049 + 0.108934i \(0.965256\pi\)
\(14\) −2.48407 6.27665i −0.663897 1.67751i
\(15\) 1.59517 2.76292i 0.411872 0.713383i
\(16\) 0.253420 3.99196i 0.0633551 0.997991i
\(17\) 0.521470 + 0.903213i 0.126475 + 0.219061i 0.922309 0.386454i \(-0.126300\pi\)
−0.795833 + 0.605516i \(0.792967\pi\)
\(18\) −0.206790 + 1.39901i −0.0487410 + 0.329751i
\(19\) −3.97104 1.79745i −0.911019 0.412364i
\(20\) 3.01361 + 5.62418i 0.673864 + 1.25760i
\(21\) −4.61056 1.23540i −1.00611 0.269586i
\(22\) 1.75436 + 0.759474i 0.374031 + 0.161920i
\(23\) 0.680206 1.17815i 0.141833 0.245661i −0.786354 0.617776i \(-0.788034\pi\)
0.928187 + 0.372115i \(0.121367\pi\)
\(24\) −2.15957 1.82655i −0.440820 0.372842i
\(25\) −4.48455 2.58916i −0.896910 0.517831i
\(26\) −6.00848 8.09281i −1.17836 1.58713i
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) 6.96088 6.53300i 1.31548 1.23462i
\(29\) 5.35271 1.43425i 0.993973 0.266334i 0.275054 0.961429i \(-0.411304\pi\)
0.718918 + 0.695094i \(0.244637\pi\)
\(30\) 4.46334 + 0.659733i 0.814890 + 0.120450i
\(31\) −7.22667 −1.29795 −0.648974 0.760811i \(-0.724802\pi\)
−0.648974 + 0.760811i \(0.724802\pi\)
\(32\) 5.38122 1.74426i 0.951275 0.308344i
\(33\) 1.17067 0.675886i 0.203787 0.117657i
\(34\) −0.916320 + 1.15577i −0.157148 + 0.198213i
\(35\) −3.94134 + 14.7093i −0.666208 + 2.48632i
\(36\) −1.94729 + 0.456151i −0.324548 + 0.0760252i
\(37\) 2.28111 2.28111i 0.375012 0.375012i −0.494287 0.869299i \(-0.664571\pi\)
0.869299 + 0.494287i \(0.164571\pi\)
\(38\) 0.296999 6.15726i 0.0481796 0.998839i
\(39\) −7.12725 −1.14127
\(40\) −5.82732 + 6.88977i −0.921380 + 1.08937i
\(41\) −1.92169 3.32846i −0.300117 0.519818i 0.676045 0.736860i \(-0.263692\pi\)
−0.976162 + 0.217042i \(0.930359\pi\)
\(42\) −0.774915 6.70570i −0.119572 1.03471i
\(43\) −2.06431 0.553130i −0.314804 0.0843516i 0.0979574 0.995191i \(-0.468769\pi\)
−0.412762 + 0.910839i \(0.635436\pi\)
\(44\) −0.0856847 + 2.70219i −0.0129175 + 0.407370i
\(45\) 2.25592 2.25592i 0.336292 0.336292i
\(46\) 1.90323 + 0.281320i 0.280616 + 0.0414784i
\(47\) −11.6255 6.71197i −1.69575 0.979042i −0.949705 0.313146i \(-0.898617\pi\)
−0.746045 0.665895i \(-0.768050\pi\)
\(48\) 1.27798 3.79035i 0.184461 0.547090i
\(49\) 15.7835 2.25478
\(50\) 1.07083 7.24453i 0.151438 1.02453i
\(51\) 0.269933 + 1.00740i 0.0377982 + 0.141065i
\(52\) 7.51492 12.1127i 1.04213 1.67973i
\(53\) −1.05986 3.95546i −0.145583 0.543324i −0.999729 0.0232899i \(-0.992586\pi\)
0.854146 0.520034i \(-0.174081\pi\)
\(54\) −0.561835 + 1.29782i −0.0764561 + 0.176611i
\(55\) −2.15631 3.73484i −0.290757 0.503606i
\(56\) 12.2133 + 5.75348i 1.63207 + 0.768842i
\(57\) −3.37051 2.76399i −0.446436 0.366099i
\(58\) 4.67167 + 6.29227i 0.613420 + 0.826215i
\(59\) −1.14471 + 4.27211i −0.149028 + 0.556181i 0.850515 + 0.525951i \(0.176291\pi\)
−0.999543 + 0.0302298i \(0.990376\pi\)
\(60\) 1.45528 + 6.21252i 0.187876 + 0.802033i
\(61\) 2.22000 + 8.28516i 0.284242 + 1.06081i 0.949391 + 0.314096i \(0.101701\pi\)
−0.665149 + 0.746711i \(0.731632\pi\)
\(62\) −3.76091 9.50290i −0.477636 1.20687i
\(63\) −4.13372 2.38660i −0.520799 0.300684i
\(64\) 5.09416 + 6.16843i 0.636770 + 0.771054i
\(65\) 22.7384i 2.82035i
\(66\) 1.49801 + 1.18766i 0.184393 + 0.146190i
\(67\) 0.128871 + 0.480953i 0.0157441 + 0.0587578i 0.973351 0.229320i \(-0.0736504\pi\)
−0.957607 + 0.288078i \(0.906984\pi\)
\(68\) −1.99668 0.603451i −0.242134 0.0731792i
\(69\) 0.961956 0.961956i 0.115806 0.115806i
\(70\) −21.3935 + 2.47225i −2.55701 + 0.295490i
\(71\) −6.16894 + 3.56164i −0.732118 + 0.422689i −0.819197 0.573513i \(-0.805580\pi\)
0.0870783 + 0.996201i \(0.472247\pi\)
\(72\) −1.61324 2.32325i −0.190122 0.273797i
\(73\) 4.49616 2.59586i 0.526236 0.303823i −0.213246 0.976998i \(-0.568404\pi\)
0.739482 + 0.673176i \(0.235070\pi\)
\(74\) 4.18674 + 1.81247i 0.486698 + 0.210695i
\(75\) −3.66162 3.66162i −0.422807 0.422807i
\(76\) 8.25121 2.81382i 0.946478 0.322767i
\(77\) −4.56246 + 4.56246i −0.519940 + 0.519940i
\(78\) −3.70917 9.37216i −0.419981 1.06119i
\(79\) 5.32795 + 9.22827i 0.599441 + 1.03826i 0.992904 + 0.118921i \(0.0379437\pi\)
−0.393463 + 0.919341i \(0.628723\pi\)
\(80\) −12.0925 4.07720i −1.35199 0.455845i
\(81\) 0.500000 + 0.866025i 0.0555556 + 0.0962250i
\(82\) 3.37676 4.25917i 0.372901 0.470347i
\(83\) 11.0024 + 11.0024i 1.20767 + 1.20767i 0.971781 + 0.235886i \(0.0757993\pi\)
0.235886 + 0.971781i \(0.424201\pi\)
\(84\) 8.41456 4.50878i 0.918104 0.491949i
\(85\) 3.21397 0.861180i 0.348604 0.0934081i
\(86\) −0.346957 3.00238i −0.0374133 0.323755i
\(87\) 5.54153 0.594114
\(88\) −3.59790 + 1.29360i −0.383538 + 0.137898i
\(89\) 6.47336 11.2122i 0.686175 1.18849i −0.286891 0.957963i \(-0.592622\pi\)
0.973066 0.230526i \(-0.0740448\pi\)
\(90\) 4.14050 + 1.79245i 0.436447 + 0.188941i
\(91\) 32.8606 8.80498i 3.44473 0.923013i
\(92\) 0.620553 + 2.64911i 0.0646971 + 0.276189i
\(93\) −6.98043 1.87040i −0.723837 0.193951i
\(94\) 2.77594 18.7803i 0.286317 1.93704i
\(95\) −8.81808 + 10.7531i −0.904716 + 1.10325i
\(96\) 5.64931 0.292062i 0.576580 0.0298085i
\(97\) −12.1995 + 7.04336i −1.23867 + 0.715145i −0.968822 0.247759i \(-0.920306\pi\)
−0.269845 + 0.962904i \(0.586972\pi\)
\(98\) 8.21405 + 20.7549i 0.829745 + 2.09656i
\(99\) 1.30571 0.349864i 0.131229 0.0351627i
\(100\) 10.0837 2.36209i 1.00837 0.236209i
\(101\) 2.91164 0.780172i 0.289719 0.0776300i −0.111032 0.993817i \(-0.535416\pi\)
0.400752 + 0.916187i \(0.368749\pi\)
\(102\) −1.18423 + 0.879229i −0.117257 + 0.0870567i
\(103\) 3.96486i 0.390669i 0.980737 + 0.195334i \(0.0625792\pi\)
−0.980737 + 0.195334i \(0.937421\pi\)
\(104\) 19.8388 + 3.57825i 1.94535 + 0.350877i
\(105\) −7.61409 + 13.1880i −0.743059 + 1.28702i
\(106\) 4.64976 3.45220i 0.451624 0.335307i
\(107\) −1.08576 1.08576i −0.104965 0.104965i 0.652674 0.757639i \(-0.273647\pi\)
−0.757639 + 0.652674i \(0.773647\pi\)
\(108\) −1.99900 0.0633869i −0.192353 0.00609941i
\(109\) 1.30569 4.87291i 0.125063 0.466740i −0.874779 0.484522i \(-0.838994\pi\)
0.999842 + 0.0177814i \(0.00566028\pi\)
\(110\) 3.78904 4.77919i 0.361271 0.455678i
\(111\) 2.79377 1.61299i 0.265173 0.153098i
\(112\) −1.20963 + 19.0545i −0.114299 + 1.80048i
\(113\) 11.3556i 1.06825i −0.845407 0.534123i \(-0.820642\pi\)
0.845407 0.534123i \(-0.179358\pi\)
\(114\) 1.88049 5.87058i 0.176124 0.549830i
\(115\) −3.06897 3.06897i −0.286183 0.286183i
\(116\) −5.84295 + 9.41776i −0.542504 + 0.874417i
\(117\) −6.88440 1.84467i −0.636463 0.170540i
\(118\) −6.21345 + 0.718030i −0.571994 + 0.0661000i
\(119\) −2.48908 4.31122i −0.228174 0.395209i
\(120\) −7.41196 + 5.14678i −0.676616 + 0.469835i
\(121\) 9.17271i 0.833883i
\(122\) −9.73946 + 7.23102i −0.881769 + 0.654666i
\(123\) −0.994739 3.71242i −0.0896926 0.334737i
\(124\) 10.5388 9.89101i 0.946415 0.888239i
\(125\) −0.402258 + 0.402258i −0.0359790 + 0.0359790i
\(126\) 0.987053 6.67778i 0.0879337 0.594904i
\(127\) 7.85234 13.6007i 0.696782 1.20686i −0.272794 0.962073i \(-0.587948\pi\)
0.969576 0.244790i \(-0.0787191\pi\)
\(128\) −5.46023 + 9.90888i −0.482621 + 0.875829i
\(129\) −1.85081 1.06857i −0.162955 0.0940820i
\(130\) −29.9005 + 11.8335i −2.62244 + 1.03787i
\(131\) −2.35142 + 8.77563i −0.205445 + 0.766731i 0.783869 + 0.620927i \(0.213244\pi\)
−0.989314 + 0.145804i \(0.953423\pi\)
\(132\) −0.782142 + 2.58794i −0.0680768 + 0.225251i
\(133\) 18.9546 + 8.57962i 1.64357 + 0.743947i
\(134\) −0.565375 + 0.419760i −0.0488409 + 0.0362618i
\(135\) 2.76292 1.59517i 0.237794 0.137291i
\(136\) −0.245593 2.93964i −0.0210594 0.252072i
\(137\) −12.2184 7.05431i −1.04389 0.602691i −0.122958 0.992412i \(-0.539238\pi\)
−0.920933 + 0.389721i \(0.872571\pi\)
\(138\) 1.76557 + 0.764327i 0.150295 + 0.0650639i
\(139\) −3.97119 14.8207i −0.336832 1.25707i −0.901870 0.432008i \(-0.857805\pi\)
0.565038 0.825065i \(-0.308861\pi\)
\(140\) −14.3846 26.8454i −1.21572 2.26885i
\(141\) −9.49216 9.49216i −0.799384 0.799384i
\(142\) −7.89391 6.25846i −0.662443 0.525198i
\(143\) −4.81721 + 8.34365i −0.402835 + 0.697731i
\(144\) 2.21545 3.33043i 0.184621 0.277536i
\(145\) 17.6794i 1.46819i
\(146\) 5.75339 + 4.56141i 0.476154 + 0.377505i
\(147\) 15.2457 + 4.08507i 1.25744 + 0.336931i
\(148\) −0.204484 + 6.44870i −0.0168085 + 0.530080i
\(149\) 0.382725 1.42835i 0.0313540 0.117015i −0.948475 0.316851i \(-0.897374\pi\)
0.979829 + 0.199836i \(0.0640411\pi\)
\(150\) 2.90936 6.72053i 0.237548 0.548729i
\(151\) 7.62029i 0.620130i 0.950715 + 0.310065i \(0.100351\pi\)
−0.950715 + 0.310065i \(0.899649\pi\)
\(152\) 7.99420 + 9.38577i 0.648415 + 0.761287i
\(153\) 1.04294i 0.0843168i
\(154\) −8.37392 3.62512i −0.674789 0.292121i
\(155\) −5.96722 + 22.2700i −0.479299 + 1.78877i
\(156\) 10.3938 9.75494i 0.832174 0.781020i
\(157\) −13.5368 3.62717i −1.08035 0.289480i −0.325613 0.945503i \(-0.605571\pi\)
−0.754741 + 0.656023i \(0.772237\pi\)
\(158\) −9.36219 + 11.8087i −0.744816 + 0.939450i
\(159\) 4.09499i 0.324754i
\(160\) −0.931780 18.0233i −0.0736637 1.42486i
\(161\) −3.24676 + 5.62355i −0.255881 + 0.443198i
\(162\) −0.878592 + 1.10819i −0.0690287 + 0.0870673i
\(163\) −14.5582 14.5582i −1.14029 1.14029i −0.988397 0.151892i \(-0.951463\pi\)
−0.151892 0.988397i \(-0.548537\pi\)
\(164\) 7.35805 + 2.22380i 0.574567 + 0.173649i
\(165\) −1.11619 4.16567i −0.0868952 0.324297i
\(166\) −8.74199 + 20.1937i −0.678510 + 1.56734i
\(167\) 7.40326 + 4.27428i 0.572882 + 0.330753i 0.758299 0.651906i \(-0.226031\pi\)
−0.185418 + 0.982660i \(0.559364\pi\)
\(168\) 10.3081 + 8.71848i 0.795284 + 0.672645i
\(169\) 32.7338 18.8989i 2.51798 1.45376i
\(170\) 2.80505 + 3.77811i 0.215137 + 0.289768i
\(171\) −2.54029 3.54216i −0.194261 0.270876i
\(172\) 3.76749 2.01874i 0.287269 0.153928i
\(173\) −4.70336 + 17.5532i −0.357590 + 1.33454i 0.519604 + 0.854407i \(0.326079\pi\)
−0.877194 + 0.480136i \(0.840587\pi\)
\(174\) 2.88393 + 7.28698i 0.218630 + 0.552425i
\(175\) 21.4057 + 12.3586i 1.61812 + 0.934220i
\(176\) −3.57348 4.05794i −0.269361 0.305879i
\(177\) −2.21141 + 3.83027i −0.166219 + 0.287900i
\(178\) 18.1126 + 2.67726i 1.35760 + 0.200669i
\(179\) −5.13000 + 5.13000i −0.383435 + 0.383435i −0.872338 0.488903i \(-0.837397\pi\)
0.488903 + 0.872338i \(0.337397\pi\)
\(180\) −0.202226 + 6.37749i −0.0150731 + 0.475350i
\(181\) 3.20825 + 11.9733i 0.238467 + 0.889972i 0.976555 + 0.215267i \(0.0690623\pi\)
−0.738088 + 0.674704i \(0.764271\pi\)
\(182\) 28.6797 + 38.6286i 2.12588 + 2.86335i
\(183\) 8.57743i 0.634062i
\(184\) −3.16057 + 2.19466i −0.233000 + 0.161793i
\(185\) −5.14599 8.91311i −0.378340 0.655305i
\(186\) −1.17323 10.1525i −0.0860253 0.744417i
\(187\) 1.36178 + 0.364888i 0.0995832 + 0.0266832i
\(188\) 26.1403 6.12335i 1.90648 0.446591i
\(189\) −3.37517 3.37517i −0.245507 0.245507i
\(190\) −18.7292 5.99943i −1.35876 0.435244i
\(191\) 21.9270i 1.58658i −0.608844 0.793290i \(-0.708367\pi\)
0.608844 0.793290i \(-0.291633\pi\)
\(192\) 3.32407 + 7.27671i 0.239894 + 0.525151i
\(193\) −10.5038 + 6.06436i −0.756078 + 0.436522i −0.827886 0.560897i \(-0.810457\pi\)
0.0718078 + 0.997418i \(0.477123\pi\)
\(194\) −15.6107 12.3765i −1.12078 0.888579i
\(195\) −5.88513 + 21.9636i −0.421443 + 1.57285i
\(196\) −23.0174 + 21.6026i −1.64410 + 1.54304i
\(197\) 0.201110 + 0.201110i 0.0143285 + 0.0143285i 0.714235 0.699906i \(-0.246775\pi\)
−0.699906 + 0.714235i \(0.746775\pi\)
\(198\) 1.13958 + 1.53490i 0.0809866 + 0.109081i
\(199\) −1.66960 + 2.89183i −0.118355 + 0.204996i −0.919116 0.393987i \(-0.871095\pi\)
0.800761 + 0.598984i \(0.204429\pi\)
\(200\) 8.35384 + 12.0305i 0.590706 + 0.850684i
\(201\) 0.497919i 0.0351205i
\(202\) 2.54119 + 3.42272i 0.178797 + 0.240822i
\(203\) −25.5496 + 6.84599i −1.79323 + 0.480494i
\(204\) −1.77246 1.09967i −0.124097 0.0769922i
\(205\) −11.8439 + 3.17356i −0.827214 + 0.221651i
\(206\) −5.21369 + 2.06339i −0.363255 + 0.143763i
\(207\) 1.17815 0.680206i 0.0818871 0.0472776i
\(208\) 5.61920 + 27.9497i 0.389622 + 1.93797i
\(209\) −5.51380 + 2.07762i −0.381398 + 0.143712i
\(210\) −21.3044 3.14904i −1.47014 0.217305i
\(211\) 7.77642 + 2.08368i 0.535351 + 0.143447i 0.516358 0.856373i \(-0.327287\pi\)
0.0189927 + 0.999820i \(0.493954\pi\)
\(212\) 6.95939 + 4.31773i 0.477973 + 0.296543i
\(213\) −6.88056 + 1.84364i −0.471448 + 0.126324i
\(214\) 0.862698 1.99280i 0.0589728 0.136225i
\(215\) −3.40909 + 5.90473i −0.232498 + 0.402699i
\(216\) −0.956966 2.66162i −0.0651133 0.181100i
\(217\) 34.4944 2.34163
\(218\) 7.08728 0.819010i 0.480011 0.0554704i
\(219\) 5.01482 1.34372i 0.338870 0.0908000i
\(220\) 8.25641 + 2.49531i 0.556647 + 0.168233i
\(221\) −5.25614 5.25614i −0.353566 0.353566i
\(222\) 3.57498 + 2.83431i 0.239937 + 0.190227i
\(223\) −4.56926 7.91418i −0.305980 0.529973i 0.671499 0.741005i \(-0.265651\pi\)
−0.977479 + 0.211032i \(0.932317\pi\)
\(224\) −25.6857 + 8.32571i −1.71620 + 0.556285i
\(225\) −2.58916 4.48455i −0.172610 0.298970i
\(226\) 14.9324 5.90970i 0.993286 0.393107i
\(227\) −15.5483 + 15.5483i −1.03197 + 1.03197i −0.0325031 + 0.999472i \(0.510348\pi\)
−0.999472 + 0.0325031i \(0.989652\pi\)
\(228\) 8.69832 0.582369i 0.576061 0.0385683i
\(229\) −15.2362 15.2362i −1.00684 1.00684i −0.999976 0.00686139i \(-0.997816\pi\)
−0.00686139 0.999976i \(-0.502184\pi\)
\(230\) 2.43847 5.63278i 0.160788 0.371415i
\(231\) −5.58784 + 3.22614i −0.367653 + 0.212265i
\(232\) −15.4249 2.78214i −1.01270 0.182656i
\(233\) 22.2418 12.8413i 1.45711 0.841262i 0.458241 0.888828i \(-0.348480\pi\)
0.998868 + 0.0475655i \(0.0151463\pi\)
\(234\) −1.15709 10.0128i −0.0756412 0.654558i
\(235\) −30.2833 + 30.2833i −1.97546 + 1.97546i
\(236\) −4.17780 7.79686i −0.271952 0.507532i
\(237\) 2.75795 + 10.2928i 0.179148 + 0.668589i
\(238\) 4.37378 5.51674i 0.283510 0.357597i
\(239\) 15.2632i 0.987297i −0.869662 0.493648i \(-0.835663\pi\)
0.869662 0.493648i \(-0.164337\pi\)
\(240\) −10.6252 7.06806i −0.685856 0.456241i
\(241\) −5.31233 3.06708i −0.342197 0.197568i 0.319046 0.947739i \(-0.396638\pi\)
−0.661243 + 0.750171i \(0.729971\pi\)
\(242\) −12.0619 + 4.77367i −0.775368 + 0.306863i
\(243\) 0.258819 + 0.965926i 0.0166032 + 0.0619642i
\(244\) −14.5772 9.04398i −0.933212 0.578981i
\(245\) 13.0328 48.6390i 0.832634 3.10743i
\(246\) 4.36406 3.24008i 0.278242 0.206580i
\(247\) 30.6539 + 5.04914i 1.95046 + 0.321269i
\(248\) 18.4911 + 8.71082i 1.17418 + 0.553138i
\(249\) 7.77985 + 13.4751i 0.493028 + 0.853949i
\(250\) −0.738303 0.319616i −0.0466944 0.0202143i
\(251\) −0.466454 1.74083i −0.0294423 0.109880i 0.949641 0.313340i \(-0.101448\pi\)
−0.979083 + 0.203460i \(0.934781\pi\)
\(252\) 9.29480 2.17730i 0.585517 0.137157i
\(253\) −0.475960 1.77631i −0.0299233 0.111675i
\(254\) 21.9711 + 3.24758i 1.37859 + 0.203771i
\(255\) 3.32734 0.208366
\(256\) −15.8716 2.02329i −0.991972 0.126456i
\(257\) 5.68681 + 3.28328i 0.354733 + 0.204805i 0.666768 0.745265i \(-0.267677\pi\)
−0.312035 + 0.950071i \(0.601010\pi\)
\(258\) 0.441938 2.98987i 0.0275139 0.186141i
\(259\) −10.8882 + 10.8882i −0.676559 + 0.676559i
\(260\) −31.1216 33.1600i −1.93008 2.05649i
\(261\) 5.35271 + 1.43425i 0.331324 + 0.0887781i
\(262\) −12.7635 + 1.47496i −0.788530 + 0.0911231i
\(263\) −6.20632 10.7497i −0.382698 0.662852i 0.608749 0.793363i \(-0.291672\pi\)
−0.991447 + 0.130510i \(0.958338\pi\)
\(264\) −3.81012 + 0.318317i −0.234496 + 0.0195910i
\(265\) −13.0644 −0.802542
\(266\) −1.41764 + 29.3898i −0.0869208 + 1.80201i
\(267\) 9.15471 9.15471i 0.560259 0.560259i
\(268\) −0.846208 0.525002i −0.0516904 0.0320696i
\(269\) 2.66489 9.94550i 0.162481 0.606388i −0.835867 0.548932i \(-0.815035\pi\)
0.998348 0.0574557i \(-0.0182988\pi\)
\(270\) 3.53550 + 2.80301i 0.215163 + 0.170586i
\(271\) −15.1265 + 8.73329i −0.918870 + 0.530510i −0.883274 0.468856i \(-0.844666\pi\)
−0.0355956 + 0.999366i \(0.511333\pi\)
\(272\) 3.73775 1.85280i 0.226634 0.112342i
\(273\) 34.0198 2.05897
\(274\) 2.91753 19.7382i 0.176254 1.19243i
\(275\) −6.76138 + 1.81171i −0.407727 + 0.109250i
\(276\) −0.0862323 + 2.71946i −0.00519057 + 0.163692i
\(277\) −16.3659 16.3659i −0.983330 0.983330i 0.0165333 0.999863i \(-0.494737\pi\)
−0.999863 + 0.0165333i \(0.994737\pi\)
\(278\) 17.4221 12.9350i 1.04491 0.775790i
\(279\) −6.25848 3.61333i −0.374685 0.216325i
\(280\) 27.8150 32.8863i 1.66226 1.96533i
\(281\) 0.304259 0.526991i 0.0181505 0.0314377i −0.856807 0.515636i \(-0.827556\pi\)
0.874958 + 0.484199i \(0.160889\pi\)
\(282\) 7.54205 17.4219i 0.449122 1.03746i
\(283\) −12.4028 3.32332i −0.737270 0.197551i −0.129406 0.991592i \(-0.541307\pi\)
−0.607865 + 0.794041i \(0.707974\pi\)
\(284\) 4.12156 13.6373i 0.244570 0.809227i
\(285\) −11.3007 + 8.10442i −0.669397 + 0.480064i
\(286\) −13.4787 1.99231i −0.797011 0.117808i
\(287\) 9.17261 + 15.8874i 0.541442 + 0.937805i
\(288\) 5.53241 + 1.18004i 0.326000 + 0.0695344i
\(289\) 7.95614 13.7804i 0.468008 0.810614i
\(290\) 23.2480 9.20073i 1.36517 0.540285i
\(291\) −13.6067 + 3.64591i −0.797640 + 0.213727i
\(292\) −3.00396 + 9.93942i −0.175793 + 0.581661i
\(293\) −4.13759 + 4.13759i −0.241721 + 0.241721i −0.817562 0.575841i \(-0.804675\pi\)
0.575841 + 0.817562i \(0.304675\pi\)
\(294\) 2.56240 + 22.1736i 0.149442 + 1.29319i
\(295\) 12.2199 + 7.05515i 0.711469 + 0.410767i
\(296\) −8.58631 + 3.08715i −0.499069 + 0.179437i
\(297\) 1.35177 0.0784378
\(298\) 2.07742 0.240068i 0.120342 0.0139068i
\(299\) −2.50951 + 9.36561i −0.145129 + 0.541627i
\(300\) 10.3514 + 0.328237i 0.597640 + 0.0189508i
\(301\) 9.85338 + 2.64020i 0.567939 + 0.152179i
\(302\) −10.0205 + 3.96576i −0.576615 + 0.228204i
\(303\) 3.01435 0.173170
\(304\) −8.18172 + 15.3967i −0.469254 + 0.883063i
\(305\) 27.3650 1.56691
\(306\) −1.37144 + 0.542768i −0.0784001 + 0.0310280i
\(307\) −5.66875 1.51894i −0.323532 0.0866902i 0.0933975 0.995629i \(-0.470227\pi\)
−0.416930 + 0.908939i \(0.636894\pi\)
\(308\) 0.408991 12.8981i 0.0233044 0.734937i
\(309\) −1.02618 + 3.82976i −0.0583774 + 0.217867i
\(310\) −32.3900 + 3.74300i −1.83963 + 0.212588i
\(311\) 16.3824 0.928963 0.464482 0.885583i \(-0.346241\pi\)
0.464482 + 0.885583i \(0.346241\pi\)
\(312\) 18.2367 + 8.59098i 1.03245 + 0.486369i
\(313\) −25.7707 14.8787i −1.45664 0.840994i −0.457799 0.889056i \(-0.651362\pi\)
−0.998844 + 0.0480619i \(0.984696\pi\)
\(314\) −2.27518 19.6882i −0.128396 1.11107i
\(315\) −10.7679 + 10.7679i −0.606705 + 0.606705i
\(316\) −20.4004 6.16555i −1.14761 0.346840i
\(317\) −3.96607 + 1.06271i −0.222757 + 0.0596875i −0.368471 0.929639i \(-0.620119\pi\)
0.145714 + 0.989327i \(0.453452\pi\)
\(318\) 5.38482 2.13112i 0.301965 0.119507i
\(319\) 3.74544 6.48730i 0.209705 0.363219i
\(320\) 23.2152 10.6049i 1.29777 0.592834i
\(321\) −0.767749 1.32978i −0.0428516 0.0742211i
\(322\) −9.08452 1.34280i −0.506261 0.0748312i
\(323\) −0.447295 4.52402i −0.0248881 0.251723i
\(324\) −1.91448 0.578605i −0.106360 0.0321447i
\(325\) 35.6496 + 9.55227i 1.97748 + 0.529865i
\(326\) 11.5673 26.7201i 0.640655 1.47989i
\(327\) 2.52241 4.36893i 0.139489 0.241603i
\(328\) 0.905042 + 10.8330i 0.0499726 + 0.598151i
\(329\) 55.4908 + 32.0376i 3.05931 + 1.76629i
\(330\) 4.89687 3.63566i 0.269564 0.200137i
\(331\) 4.30545 + 4.30545i 0.236649 + 0.236649i 0.815461 0.578812i \(-0.196484\pi\)
−0.578812 + 0.815461i \(0.696484\pi\)
\(332\) −31.1038 0.986282i −1.70704 0.0541292i
\(333\) 3.11605 0.834943i 0.170759 0.0457546i
\(334\) −1.76776 + 11.9595i −0.0967275 + 0.654397i
\(335\) 1.58854 0.0867910
\(336\) −6.10007 + 18.0921i −0.332786 + 0.987006i
\(337\) 1.60332 0.925676i 0.0873383 0.0504248i −0.455695 0.890136i \(-0.650609\pi\)
0.543033 + 0.839711i \(0.317276\pi\)
\(338\) 41.8869 + 33.2088i 2.27835 + 1.80632i
\(339\) 2.93905 10.9687i 0.159627 0.595737i
\(340\) −3.50832 + 5.65478i −0.190266 + 0.306673i
\(341\) −6.90759 + 6.90759i −0.374067 + 0.374067i
\(342\) 3.33584 5.18384i 0.180381 0.280310i
\(343\) −41.9254 −2.26376
\(344\) 4.61528 + 3.90357i 0.248839 + 0.210466i
\(345\) −2.17009 3.75871i −0.116834 0.202362i
\(346\) −25.5297 + 2.95023i −1.37249 + 0.158605i
\(347\) −11.7751 3.15512i −0.632119 0.169376i −0.0714880 0.997441i \(-0.522775\pi\)
−0.560631 + 0.828066i \(0.689441\pi\)
\(348\) −8.08135 + 7.58459i −0.433206 + 0.406577i
\(349\) 1.58321 1.58321i 0.0847475 0.0847475i −0.663462 0.748210i \(-0.730914\pi\)
0.748210 + 0.663462i \(0.230914\pi\)
\(350\) −5.11127 + 34.5796i −0.273209 + 1.84836i
\(351\) −6.17238 3.56363i −0.329457 0.190212i
\(352\) 3.47638 6.81087i 0.185292 0.363021i
\(353\) 0.256587 0.0136568 0.00682838 0.999977i \(-0.497826\pi\)
0.00682838 + 0.999977i \(0.497826\pi\)
\(354\) −6.18757 0.914595i −0.328866 0.0486102i
\(355\) 5.88185 + 21.9514i 0.312176 + 1.16506i
\(356\) 5.90566 + 25.2110i 0.312999 + 1.33618i
\(357\) −1.28845 4.80854i −0.0681917 0.254495i
\(358\) −9.41559 4.07607i −0.497630 0.215427i
\(359\) 9.24243 + 16.0084i 0.487797 + 0.844889i 0.999902 0.0140342i \(-0.00446737\pi\)
−0.512105 + 0.858923i \(0.671134\pi\)
\(360\) −8.49149 + 3.05305i −0.447541 + 0.160910i
\(361\) 12.5383 + 14.2755i 0.659911 + 0.751344i
\(362\) −14.0750 + 10.4499i −0.739767 + 0.549237i
\(363\) −2.37407 + 8.86016i −0.124606 + 0.465038i
\(364\) −35.8702 + 57.8163i −1.88011 + 3.03040i
\(365\) −4.28692 15.9990i −0.224388 0.837426i
\(366\) −11.2791 + 4.46387i −0.589569 + 0.233330i
\(367\) −3.36152 1.94078i −0.175470 0.101308i 0.409693 0.912224i \(-0.365636\pi\)
−0.585163 + 0.810916i \(0.698969\pi\)
\(368\) −4.53076 3.01392i −0.236182 0.157112i
\(369\) 3.84338i 0.200078i
\(370\) 9.04245 11.4054i 0.470094 0.592939i
\(371\) 5.05894 + 18.8802i 0.262647 + 0.980212i
\(372\) 12.7397 6.82633i 0.660523 0.353929i
\(373\) −3.02320 + 3.02320i −0.156535 + 0.156535i −0.781030 0.624494i \(-0.785305\pi\)
0.624494 + 0.781030i \(0.285305\pi\)
\(374\) 0.228880 + 1.98060i 0.0118351 + 0.102415i
\(375\) −0.492663 + 0.284439i −0.0254410 + 0.0146884i
\(376\) 21.6560 + 31.1871i 1.11682 + 1.60835i
\(377\) −34.2044 + 19.7479i −1.76162 + 1.01707i
\(378\) 2.68176 6.19477i 0.137935 0.318624i
\(379\) 16.4507 + 16.4507i 0.845017 + 0.845017i 0.989506 0.144489i \(-0.0461539\pi\)
−0.144489 + 0.989506i \(0.546154\pi\)
\(380\) −1.85796 27.7507i −0.0953113 1.42358i
\(381\) 11.1049 11.1049i 0.568921 0.568921i
\(382\) 28.8334 11.4112i 1.47525 0.583850i
\(383\) 2.70745 + 4.68944i 0.138344 + 0.239619i 0.926870 0.375382i \(-0.122489\pi\)
−0.788526 + 0.615002i \(0.789155\pi\)
\(384\) −7.83879 + 8.15803i −0.400021 + 0.416313i
\(385\) 10.2925 + 17.8272i 0.524555 + 0.908556i
\(386\) −13.4409 10.6562i −0.684122 0.542386i
\(387\) −1.51118 1.51118i −0.0768176 0.0768176i
\(388\) 8.15064 26.9687i 0.413786 1.36913i
\(389\) 23.4435 6.28166i 1.18863 0.318493i 0.390286 0.920694i \(-0.372376\pi\)
0.798345 + 0.602201i \(0.205709\pi\)
\(390\) −31.9444 + 3.69151i −1.61757 + 0.186927i
\(391\) 1.41883 0.0717532
\(392\) −40.3856 19.0250i −2.03978 0.960905i
\(393\) −4.54260 + 7.86802i −0.229144 + 0.396889i
\(394\) −0.159793 + 0.369117i −0.00805027 + 0.0185959i
\(395\) 32.8376 8.79881i 1.65224 0.442716i
\(396\) −1.42530 + 2.29732i −0.0716239 + 0.115445i
\(397\) 7.29036 + 1.95345i 0.365893 + 0.0980406i 0.437081 0.899422i \(-0.356012\pi\)
−0.0711882 + 0.997463i \(0.522679\pi\)
\(398\) −4.67158 0.690514i −0.234165 0.0346124i
\(399\) 16.0882 + 13.1931i 0.805415 + 0.660480i
\(400\) −11.4723 + 17.2460i −0.573615 + 0.862301i
\(401\) −19.5255 + 11.2730i −0.975055 + 0.562948i −0.900774 0.434289i \(-0.857000\pi\)
−0.0742814 + 0.997237i \(0.523666\pi\)
\(402\) −0.654752 + 0.259128i −0.0326561 + 0.0129241i
\(403\) 49.7513 13.3308i 2.47829 0.664055i
\(404\) −3.17831 + 5.12285i −0.158127 + 0.254871i
\(405\) 3.08164 0.825723i 0.153128 0.0410305i
\(406\) −22.2988 30.0343i −1.10667 1.49058i
\(407\) 4.36078i 0.216156i
\(408\) 0.523611 2.90304i 0.0259226 0.143722i
\(409\) 3.96510 6.86776i 0.196062 0.339589i −0.751186 0.660090i \(-0.770518\pi\)
0.947248 + 0.320501i \(0.103851\pi\)
\(410\) −10.3370 13.9229i −0.510506 0.687601i
\(411\) −9.97630 9.97630i −0.492095 0.492095i
\(412\) −5.42663 5.78205i −0.267351 0.284861i
\(413\) 5.46392 20.3916i 0.268862 1.00341i
\(414\) 1.50759 + 1.19525i 0.0740939 + 0.0587432i
\(415\) 42.9902 24.8204i 2.11031 1.21839i
\(416\) −33.8289 + 21.9347i −1.65860 + 1.07544i
\(417\) 15.3435i 0.751374i
\(418\) −5.60151 6.16928i −0.273979 0.301749i
\(419\) −15.4451 15.4451i −0.754540 0.754540i 0.220783 0.975323i \(-0.429139\pi\)
−0.975323 + 0.220783i \(0.929139\pi\)
\(420\) −6.94635 29.6536i −0.338947 1.44695i
\(421\) −8.73476 2.34047i −0.425706 0.114068i 0.0396036 0.999215i \(-0.487390\pi\)
−0.465310 + 0.885148i \(0.654057\pi\)
\(422\) 1.30701 + 11.3102i 0.0636244 + 0.550572i
\(423\) −6.71197 11.6255i −0.326347 0.565250i
\(424\) −2.05590 + 11.3985i −0.0998433 + 0.553558i
\(425\) 5.40067i 0.261971i
\(426\) −6.00513 8.08830i −0.290949 0.391879i
\(427\) −10.5965 39.5468i −0.512802 1.91380i
\(428\) 3.06945 + 0.0973305i 0.148368 + 0.00470465i
\(429\) −6.81256 + 6.81256i −0.328914 + 0.328914i
\(430\) −9.53874 1.40994i −0.459999 0.0679932i
\(431\) 16.0681 27.8307i 0.773971 1.34056i −0.161400 0.986889i \(-0.551601\pi\)
0.935371 0.353668i \(-0.115066\pi\)
\(432\) 3.00194 2.64355i 0.144431 0.127188i
\(433\) 13.3561 + 7.71117i 0.641855 + 0.370575i 0.785329 0.619079i \(-0.212494\pi\)
−0.143474 + 0.989654i \(0.545827\pi\)
\(434\) 17.9516 + 45.3593i 0.861704 + 2.17731i
\(435\) 4.57577 17.0770i 0.219391 0.818779i
\(436\) 4.76534 + 8.89337i 0.228219 + 0.425915i
\(437\) −4.81880 + 3.45584i −0.230514 + 0.165315i
\(438\) 4.37677 + 5.89507i 0.209130 + 0.281677i
\(439\) 29.9076 17.2671i 1.42741 0.824116i 0.430494 0.902593i \(-0.358339\pi\)
0.996916 + 0.0784776i \(0.0250059\pi\)
\(440\) 1.01554 + 12.1556i 0.0484140 + 0.579495i
\(441\) 13.6689 + 7.89174i 0.650900 + 0.375797i
\(442\) 4.17629 9.64710i 0.198646 0.458866i
\(443\) −4.35049 16.2362i −0.206698 0.771407i −0.988925 0.148414i \(-0.952583\pi\)
0.782227 0.622993i \(-0.214084\pi\)
\(444\) −1.86656 + 6.17605i −0.0885832 + 0.293102i
\(445\) −29.2067 29.2067i −1.38453 1.38453i
\(446\) 8.02903 10.1272i 0.380185 0.479535i
\(447\) 0.739367 1.28062i 0.0349709 0.0605713i
\(448\) −24.3155 29.4432i −1.14880 1.39106i
\(449\) 14.8326i 0.699993i −0.936751 0.349997i \(-0.886183\pi\)
0.936751 0.349997i \(-0.113817\pi\)
\(450\) 4.54963 5.73853i 0.214471 0.270517i
\(451\) −5.01834 1.34466i −0.236305 0.0633176i
\(452\) 15.5422 + 16.5602i 0.731045 + 0.778925i
\(453\) −1.97228 + 7.36063i −0.0926656 + 0.345833i
\(454\) −28.5372 12.3540i −1.33932 0.579800i
\(455\) 108.535i 5.08820i
\(456\) 5.29259 + 11.1350i 0.247848 + 0.521445i
\(457\) 6.86036i 0.320914i 0.987043 + 0.160457i \(0.0512968\pi\)
−0.987043 + 0.160457i \(0.948703\pi\)
\(458\) 12.1060 27.9645i 0.565677 1.30670i
\(459\) −0.269933 + 1.00740i −0.0125994 + 0.0470216i
\(460\) 8.67601 + 0.275111i 0.404521 + 0.0128271i
\(461\) −8.20902 2.19960i −0.382332 0.102446i 0.0625335 0.998043i \(-0.480082\pi\)
−0.444866 + 0.895597i \(0.646749\pi\)
\(462\) −7.15033 5.66893i −0.332664 0.263742i
\(463\) 21.6390i 1.00565i −0.864388 0.502825i \(-0.832294\pi\)
0.864388 0.502825i \(-0.167706\pi\)
\(464\) −4.36900 21.7313i −0.202826 1.00885i
\(465\) −11.5278 + 19.9667i −0.534588 + 0.925934i
\(466\) 28.4611 + 22.5646i 1.31844 + 1.04528i
\(467\) 1.73102 + 1.73102i 0.0801022 + 0.0801022i 0.746023 0.665921i \(-0.231961\pi\)
−0.665921 + 0.746023i \(0.731961\pi\)
\(468\) 12.5644 6.73242i 0.580792 0.311206i
\(469\) −0.615128 2.29569i −0.0284040 0.106005i
\(470\) −55.5819 24.0617i −2.56380 1.10989i
\(471\) −12.1368 7.00716i −0.559232 0.322873i
\(472\) 8.07847 9.55136i 0.371842 0.439637i
\(473\) −2.50187 + 1.44446i −0.115036 + 0.0664162i
\(474\) −12.0995 + 8.98322i −0.555748 + 0.412613i
\(475\) 13.1544 + 18.3424i 0.603567 + 0.841608i
\(476\) 9.53058 + 2.88039i 0.436834 + 0.132023i
\(477\) 1.05986 3.95546i 0.0485277 0.181108i
\(478\) 20.0708 7.94330i 0.918017 0.363318i
\(479\) 13.0406 + 7.52898i 0.595839 + 0.344008i 0.767403 0.641165i \(-0.221549\pi\)
−0.171564 + 0.985173i \(0.554882\pi\)
\(480\) 3.76473 17.6503i 0.171836 0.805622i
\(481\) −11.4962 + 19.9119i −0.524180 + 0.907906i
\(482\) 1.26848 8.58176i 0.0577779 0.390889i
\(483\) −4.59161 + 4.59161i −0.208926 + 0.208926i
\(484\) −12.5545 13.3768i −0.570660 0.608036i
\(485\) 11.6317 + 43.4102i 0.528169 + 1.97115i
\(486\) −1.13547 + 0.843029i −0.0515062 + 0.0382406i
\(487\) 28.4705i 1.29012i −0.764131 0.645061i \(-0.776832\pi\)
0.764131 0.645061i \(-0.223168\pi\)
\(488\) 4.30632 23.8754i 0.194938 1.08079i
\(489\) −10.2942 17.8301i −0.465521 0.806306i
\(490\) 70.7416 8.17495i 3.19578 0.369306i
\(491\) −10.8331 2.90273i −0.488893 0.130998i 0.00594768 0.999982i \(-0.498107\pi\)
−0.494840 + 0.868984i \(0.664773\pi\)
\(492\) 6.53177 + 4.05243i 0.294475 + 0.182697i
\(493\) 4.08672 + 4.08672i 0.184056 + 0.184056i
\(494\) 9.31344 + 42.9368i 0.419031 + 1.93182i
\(495\) 4.31262i 0.193838i
\(496\) −1.83138 + 28.8486i −0.0822316 + 1.29534i
\(497\) 29.4456 17.0004i 1.32082 0.762573i
\(498\) −13.6706 + 17.2430i −0.612596 + 0.772679i
\(499\) 4.85370 18.1143i 0.217282 0.810906i −0.768069 0.640367i \(-0.778782\pi\)
0.985351 0.170539i \(-0.0545509\pi\)
\(500\) 0.0360595 1.13719i 0.00161263 0.0508565i
\(501\) 6.04474 + 6.04474i 0.270059 + 0.270059i
\(502\) 2.04640 1.51934i 0.0913352 0.0678115i
\(503\) −18.3382 + 31.7628i −0.817662 + 1.41623i 0.0897386 + 0.995965i \(0.471397\pi\)
−0.907401 + 0.420267i \(0.861936\pi\)
\(504\) 7.70031 + 11.0893i 0.342999 + 0.493958i
\(505\) 9.61683i 0.427943i
\(506\) 2.08810 1.55030i 0.0928273 0.0689193i
\(507\) 36.5098 9.78277i 1.62146 0.434468i
\(508\) 7.16371 + 30.5815i 0.317838 + 1.35684i
\(509\) 5.91848 1.58585i 0.262332 0.0702917i −0.125256 0.992125i \(-0.539975\pi\)
0.387588 + 0.921833i \(0.373308\pi\)
\(510\) 1.73162 + 4.37538i 0.0766773 + 0.193745i
\(511\) −21.4611 + 12.3906i −0.949384 + 0.548127i
\(512\) −5.59931 21.9237i −0.247457 0.968899i
\(513\) −1.53696 4.07894i −0.0678583 0.180090i
\(514\) −1.35790 + 9.18671i −0.0598945 + 0.405208i
\(515\) 12.2183 + 3.27387i 0.538400 + 0.144264i
\(516\) 4.16161 0.974854i 0.183205 0.0429156i
\(517\) −17.5278 + 4.69656i −0.770872 + 0.206555i
\(518\) −19.9842 8.65127i −0.878053 0.380115i
\(519\) −9.08619 + 15.7377i −0.398840 + 0.690810i
\(520\) 27.4082 58.1813i 1.20193 2.55142i
\(521\) −31.1364 −1.36411 −0.682055 0.731300i \(-0.738914\pi\)
−0.682055 + 0.731300i \(0.738914\pi\)
\(522\) 0.899651 + 7.78510i 0.0393766 + 0.340744i
\(523\) −13.9058 + 3.72605i −0.608058 + 0.162929i −0.549693 0.835367i \(-0.685255\pi\)
−0.0583651 + 0.998295i \(0.518589\pi\)
\(524\) −8.58191 16.0161i −0.374902 0.699665i
\(525\) 17.4777 + 17.4777i 0.762788 + 0.762788i
\(526\) 10.9056 13.7555i 0.475509 0.599769i
\(527\) −3.76849 6.52722i −0.164158 0.284330i
\(528\) −2.40144 4.84455i −0.104509 0.210832i
\(529\) 10.5746 + 18.3158i 0.459767 + 0.796340i
\(530\) −6.79901 17.1794i −0.295330 0.746227i
\(531\) −3.12740 + 3.12740i −0.135718 + 0.135718i
\(532\) −39.3847 + 13.4309i −1.70754 + 0.582304i
\(533\) 19.3696 + 19.3696i 0.838989 + 0.838989i
\(534\) 16.8025 + 7.27393i 0.727117 + 0.314774i
\(535\) −4.24246 + 2.44939i −0.183418 + 0.105896i
\(536\) 0.249982 1.38596i 0.0107976 0.0598646i
\(537\) −6.28295 + 3.62746i −0.271129 + 0.156536i
\(538\) 14.4650 1.67158i 0.623629 0.0720669i
\(539\) 15.0866 15.0866i 0.649826 0.649826i
\(540\) −1.84595 + 6.10784i −0.0794371 + 0.262840i
\(541\) −1.77913 6.63981i −0.0764908 0.285468i 0.917076 0.398711i \(-0.130543\pi\)
−0.993567 + 0.113244i \(0.963876\pi\)
\(542\) −19.3562 15.3460i −0.831421 0.659168i
\(543\) 12.3957i 0.531951i
\(544\) 4.38159 + 3.95081i 0.187859 + 0.169390i
\(545\) −13.9384 8.04735i −0.597056 0.344711i
\(546\) 17.7046 + 44.7353i 0.757688 + 1.91449i
\(547\) −3.91481 14.6103i −0.167385 0.624689i −0.997724 0.0674307i \(-0.978520\pi\)
0.830339 0.557259i \(-0.188147\pi\)
\(548\) 27.4735 6.43566i 1.17361 0.274918i
\(549\) −2.22000 + 8.28516i −0.0947474 + 0.353602i
\(550\) −5.90112 7.94821i −0.251624 0.338913i
\(551\) −23.8338 3.92577i −1.01535 0.167244i
\(552\) −3.62090 + 1.30187i −0.154116 + 0.0554112i
\(553\) −25.4314 44.0484i −1.08145 1.87313i
\(554\) 13.0036 30.0379i 0.552470 1.27619i
\(555\) −2.66376 9.94128i −0.113070 0.421984i
\(556\) 26.0761 + 16.1781i 1.10587 + 0.686102i
\(557\) 3.25575 + 12.1506i 0.137951 + 0.514839i 0.999968 + 0.00796071i \(0.00253400\pi\)
−0.862018 + 0.506878i \(0.830799\pi\)
\(558\) 1.49441 10.1102i 0.0632633 0.427999i
\(559\) 15.2319 0.644239
\(560\) 57.7201 + 19.4613i 2.43912 + 0.822391i
\(561\) 1.22094 + 0.704909i 0.0515481 + 0.0297613i
\(562\) 0.851323 + 0.125836i 0.0359109 + 0.00530805i
\(563\) −15.8639 + 15.8639i −0.668584 + 0.668584i −0.957388 0.288804i \(-0.906742\pi\)
0.288804 + 0.957388i \(0.406742\pi\)
\(564\) 26.8344 + 0.850903i 1.12993 + 0.0358295i
\(565\) −34.9939 9.37659i −1.47220 0.394476i
\(566\) −2.08459 18.0389i −0.0876218 0.758232i
\(567\) −2.38660 4.13372i −0.100228 0.173600i
\(568\) 20.0777 1.67740i 0.842443 0.0703819i
\(569\) −27.3301 −1.14574 −0.572870 0.819647i \(-0.694170\pi\)
−0.572870 + 0.819647i \(0.694170\pi\)
\(570\) −16.5382 10.6425i −0.692711 0.445764i
\(571\) −16.6636 + 16.6636i −0.697351 + 0.697351i −0.963838 0.266488i \(-0.914137\pi\)
0.266488 + 0.963838i \(0.414137\pi\)
\(572\) −4.39475 18.7610i −0.183754 0.784436i
\(573\) 5.67512 21.1798i 0.237081 0.884800i
\(574\) −16.1180 + 20.3299i −0.672751 + 0.848554i
\(575\) −6.10083 + 3.52232i −0.254422 + 0.146891i
\(576\) 1.32746 + 7.88910i 0.0553107 + 0.328712i
\(577\) 23.7894 0.990368 0.495184 0.868788i \(-0.335101\pi\)
0.495184 + 0.868788i \(0.335101\pi\)
\(578\) 22.2615 + 3.29051i 0.925956 + 0.136867i
\(579\) −11.7154 + 3.13914i −0.486877 + 0.130458i
\(580\) 24.1975 + 25.7823i 1.00475 + 1.07055i
\(581\) −52.5166 52.5166i −2.17875 2.17875i
\(582\) −11.8755 15.9951i −0.492255 0.663018i
\(583\) −4.79388 2.76775i −0.198542 0.114628i
\(584\) −14.6334 + 1.22255i −0.605536 + 0.0505895i
\(585\) −11.3692 + 19.6920i −0.470059 + 0.814165i
\(586\) −7.59412 3.28754i −0.313710 0.135807i
\(587\) 10.6469 + 2.85282i 0.439443 + 0.117748i 0.471755 0.881730i \(-0.343621\pi\)
−0.0323127 + 0.999478i \(0.510287\pi\)
\(588\) −27.8243 + 14.9091i −1.14745 + 0.614842i
\(589\) 28.6974 + 12.9896i 1.18246 + 0.535228i
\(590\) −2.91788 + 19.7405i −0.120127 + 0.812703i
\(591\) 0.142207 + 0.246309i 0.00584960 + 0.0101318i
\(592\) −8.52802 9.68418i −0.350499 0.398017i
\(593\) 17.0318 29.5000i 0.699414 1.21142i −0.269257 0.963068i \(-0.586778\pi\)
0.968670 0.248351i \(-0.0798887\pi\)
\(594\) 0.703490 + 1.77755i 0.0288646 + 0.0729337i
\(595\) −15.3409 + 4.11059i −0.628916 + 0.168518i
\(596\) 1.39682 + 2.60682i 0.0572158 + 0.106780i
\(597\) −2.36117 + 2.36117i −0.0966362 + 0.0966362i
\(598\) −13.6216 + 1.57412i −0.557027 + 0.0643704i
\(599\) −9.65977 5.57707i −0.394688 0.227873i 0.289502 0.957178i \(-0.406510\pi\)
−0.684189 + 0.729304i \(0.739844\pi\)
\(600\) 4.95547 + 13.7827i 0.202306 + 0.562676i
\(601\) 24.2995 0.991195 0.495598 0.868552i \(-0.334949\pi\)
0.495598 + 0.868552i \(0.334949\pi\)
\(602\) 1.65610 + 14.3310i 0.0674974 + 0.584087i
\(603\) −0.128871 + 0.480953i −0.00524803 + 0.0195859i
\(604\) −10.4298 11.1129i −0.424381 0.452176i
\(605\) 28.2670 + 7.57411i 1.14922 + 0.307932i
\(606\) 1.56873 + 3.96380i 0.0637254 + 0.161018i
\(607\) 39.0235 1.58391 0.791957 0.610576i \(-0.209062\pi\)
0.791957 + 0.610576i \(0.209062\pi\)
\(608\) −24.5043 2.74598i −0.993780 0.111364i
\(609\) −26.4509 −1.07184
\(610\) 14.2413 + 35.9843i 0.576614 + 1.45696i
\(611\) 92.4157 + 24.7627i 3.73874 + 1.00179i
\(612\) −1.42745 1.52095i −0.0577014 0.0614806i
\(613\) 6.18261 23.0738i 0.249713 0.931943i −0.721242 0.692683i \(-0.756428\pi\)
0.970955 0.239260i \(-0.0769049\pi\)
\(614\) −0.952769 8.24475i −0.0384506 0.332731i
\(615\) −12.2617 −0.494440
\(616\) 17.1735 6.17462i 0.691941 0.248783i
\(617\) 16.1141 + 9.30345i 0.648727 + 0.374543i 0.787968 0.615716i \(-0.211133\pi\)
−0.139241 + 0.990259i \(0.544466\pi\)
\(618\) −5.57008 + 0.643682i −0.224062 + 0.0258927i
\(619\) 5.75885 5.75885i 0.231468 0.231468i −0.581837 0.813305i \(-0.697666\pi\)
0.813305 + 0.581837i \(0.197666\pi\)
\(620\) −21.7784 40.6441i −0.874640 1.63231i
\(621\) 1.31406 0.352100i 0.0527313 0.0141293i
\(622\) 8.52576 + 21.5425i 0.341852 + 0.863776i
\(623\) −30.8987 + 53.5181i −1.23793 + 2.14416i
\(624\) −1.80619 + 28.4517i −0.0723055 + 1.13898i
\(625\) −12.0383 20.8510i −0.481533 0.834039i
\(626\) 6.15354 41.6310i 0.245945 1.66391i
\(627\) −5.86365 + 0.579746i −0.234172 + 0.0231528i
\(628\) 24.7055 13.2380i 0.985856 0.528252i
\(629\) 3.24986 + 0.870796i 0.129580 + 0.0347209i
\(630\) −19.7635 8.55573i −0.787395 0.340868i
\(631\) −10.1023 + 17.4977i −0.402166 + 0.696572i −0.993987 0.109497i \(-0.965076\pi\)
0.591821 + 0.806069i \(0.298409\pi\)
\(632\) −2.50926 30.0348i −0.0998130 1.19472i
\(633\) 6.97215 + 4.02537i 0.277118 + 0.159994i
\(634\) −3.46146 4.66223i −0.137472 0.185161i
\(635\) −35.4284 35.4284i −1.40593 1.40593i
\(636\) 5.60474 + 5.97183i 0.222242 + 0.236798i
\(637\) −108.660 + 29.1153i −4.30526 + 1.15359i
\(638\) 10.4799 + 1.54904i 0.414901 + 0.0613272i
\(639\) −7.12328 −0.281792
\(640\) 26.0269 + 25.0084i 1.02881 + 0.988546i
\(641\) −8.76659 + 5.06139i −0.346259 + 0.199913i −0.663037 0.748587i \(-0.730733\pi\)
0.316777 + 0.948500i \(0.397399\pi\)
\(642\) 1.34908 1.70162i 0.0532438 0.0671575i
\(643\) −6.58426 + 24.5728i −0.259658 + 0.969056i 0.705782 + 0.708429i \(0.250596\pi\)
−0.965440 + 0.260627i \(0.916071\pi\)
\(644\) −2.96203 12.6447i −0.116720 0.498273i
\(645\) −4.82119 + 4.82119i −0.189834 + 0.189834i
\(646\) 5.71619 2.94257i 0.224901 0.115774i
\(647\) 21.9536 0.863083 0.431542 0.902093i \(-0.357970\pi\)
0.431542 + 0.902093i \(0.357970\pi\)
\(648\) −0.235481 2.81861i −0.00925056 0.110725i
\(649\) 2.98932 + 5.17765i 0.117341 + 0.203241i
\(650\) 5.99176 + 51.8495i 0.235016 + 2.03371i
\(651\) 33.3190 + 8.92780i 1.30587 + 0.349908i
\(652\) 41.1562 + 1.30504i 1.61180 + 0.0511093i
\(653\) −9.69678 + 9.69678i −0.379464 + 0.379464i −0.870909 0.491445i \(-0.836469\pi\)
0.491445 + 0.870909i \(0.336469\pi\)
\(654\) 7.05776 + 1.04322i 0.275980 + 0.0407931i
\(655\) 25.1017 + 14.4925i 0.980805 + 0.566268i
\(656\) −13.7741 + 6.82781i −0.537788 + 0.266581i
\(657\) 5.19172 0.202548
\(658\) −13.2501 + 89.6421i −0.516544 + 3.49461i
\(659\) −4.55596 17.0031i −0.177475 0.662345i −0.996117 0.0880409i \(-0.971939\pi\)
0.818642 0.574304i \(-0.194727\pi\)
\(660\) 7.32925 + 4.54720i 0.285291 + 0.176999i
\(661\) 9.98552 + 37.2665i 0.388392 + 1.44950i 0.832750 + 0.553649i \(0.186765\pi\)
−0.444359 + 0.895849i \(0.646568\pi\)
\(662\) −3.42091 + 7.90220i −0.132958 + 0.307128i
\(663\) −3.71665 6.43743i −0.144343 0.250009i
\(664\) −14.8901 41.4140i −0.577848 1.60717i
\(665\) 42.0905 51.3268i 1.63220 1.99037i
\(666\) 2.71959 + 3.66301i 0.105382 + 0.141939i
\(667\) 1.95117 7.28188i 0.0755498 0.281956i
\(668\) −16.6465 + 3.89943i −0.644072 + 0.150873i
\(669\) −2.36522 8.82713i −0.0914447 0.341276i
\(670\) 0.826707 + 2.08889i 0.0319385 + 0.0807007i
\(671\) 10.0413 + 5.79737i 0.387641 + 0.223805i
\(672\) −26.9653 + 1.39407i −1.04021 + 0.0537775i
\(673\) 37.6977i 1.45314i 0.687092 + 0.726571i \(0.258887\pi\)
−0.687092 + 0.726571i \(0.741113\pi\)
\(674\) 2.05164 + 1.62658i 0.0790263 + 0.0626537i
\(675\) −1.34025 5.00187i −0.0515861 0.192522i
\(676\) −21.8699 + 72.3628i −0.841152 + 2.78318i
\(677\) 15.1970 15.1970i 0.584068 0.584068i −0.351950 0.936019i \(-0.614481\pi\)
0.936019 + 0.351950i \(0.114481\pi\)
\(678\) 15.9531 1.84355i 0.612675 0.0708011i
\(679\) 58.2305 33.6194i 2.23468 1.29019i
\(680\) −9.26170 1.67050i −0.355170 0.0640608i
\(681\) −19.0427 + 10.9943i −0.729716 + 0.421302i
\(682\) −12.6782 5.48847i −0.485472 0.210164i
\(683\) −27.7335 27.7335i −1.06119 1.06119i −0.998002 0.0631899i \(-0.979873\pi\)
−0.0631899 0.998002i \(-0.520127\pi\)
\(684\) 8.55266 + 1.68877i 0.327019 + 0.0645716i
\(685\) −31.8279 + 31.8279i −1.21608 + 1.21608i
\(686\) −21.8188 55.1308i −0.833047 2.10491i
\(687\) −10.7736 18.6605i −0.411040 0.711942i
\(688\) −2.73121 + 8.10048i −0.104127 + 0.308828i
\(689\) 14.5930 + 25.2758i 0.555950 + 0.962933i
\(690\) 3.81325 4.80973i 0.145168 0.183103i
\(691\) 3.45798 + 3.45798i 0.131548 + 0.131548i 0.769815 0.638267i \(-0.220348\pi\)
−0.638267 + 0.769815i \(0.720348\pi\)
\(692\) −17.1657 32.0356i −0.652542 1.21781i
\(693\) −6.23243 + 1.66997i −0.236750 + 0.0634371i
\(694\) −1.97908 17.1259i −0.0751250 0.650092i
\(695\) −48.9510 −1.85682
\(696\) −14.1793 6.67960i −0.537463 0.253190i
\(697\) 2.00421 3.47139i 0.0759148 0.131488i
\(698\) 2.90583 + 1.25795i 0.109987 + 0.0476142i
\(699\) 24.8075 6.64715i 0.938306 0.251418i
\(700\) −48.1314 + 11.2747i −1.81919 + 0.426145i
\(701\) 33.9769 + 9.10408i 1.28329 + 0.343856i 0.835108 0.550086i \(-0.185405\pi\)
0.448181 + 0.893943i \(0.352072\pi\)
\(702\) 1.47385 9.97112i 0.0556268 0.376336i
\(703\) −13.1586 + 4.95818i −0.496284 + 0.187001i
\(704\) 10.7653 + 1.02684i 0.405733 + 0.0387005i
\(705\) −37.0893 + 21.4135i −1.39686 + 0.806480i
\(706\) 0.133533 + 0.337406i 0.00502559 + 0.0126984i
\(707\) −13.8979 + 3.72392i −0.522683 + 0.140052i
\(708\) −2.01747 8.61248i −0.0758212 0.323677i
\(709\) 18.5963 4.98286i 0.698398 0.187135i 0.107885 0.994163i \(-0.465592\pi\)
0.590513 + 0.807028i \(0.298925\pi\)
\(710\) −25.8045 + 19.1584i −0.968425 + 0.719003i
\(711\) 10.6559i 0.399627i
\(712\) −30.0784 + 20.8861i −1.12724 + 0.782740i
\(713\) −4.91562 + 8.51410i −0.184091 + 0.318856i
\(714\) 5.65259 4.19674i 0.211543 0.157059i
\(715\) 21.7344 + 21.7344i 0.812822 + 0.812822i
\(716\) 0.459867 14.5026i 0.0171860 0.541986i
\(717\) 3.95042 14.7432i 0.147531 0.550593i
\(718\) −16.2407 + 20.4847i −0.606096 + 0.764481i
\(719\) −25.3098 + 14.6126i −0.943897 + 0.544959i −0.891180 0.453650i \(-0.850122\pi\)
−0.0527175 + 0.998609i \(0.516788\pi\)
\(720\) −8.43384 9.57723i −0.314311 0.356922i
\(721\) 18.9251i 0.704806i
\(722\) −12.2468 + 23.9169i −0.455778 + 0.890093i
\(723\) −4.33750 4.33750i −0.161313 0.161313i
\(724\) −21.0664 13.0700i −0.782925 0.485741i
\(725\) −27.7180 7.42701i −1.02942 0.275832i
\(726\) −12.8864 + 1.48916i −0.478260 + 0.0552680i
\(727\) 11.7663 + 20.3799i 0.436389 + 0.755847i 0.997408 0.0719555i \(-0.0229240\pi\)
−0.561019 + 0.827803i \(0.689591\pi\)
\(728\) −94.6946 17.0797i −3.50962 0.633017i
\(729\) 1.00000i 0.0370370i
\(730\) 18.8073 13.9634i 0.696090 0.516809i
\(731\) −0.576882 2.15295i −0.0213368 0.0796299i
\(732\) −11.7398 12.5087i −0.433915 0.462334i
\(733\) −29.3406 + 29.3406i −1.08372 + 1.08372i −0.0875604 + 0.996159i \(0.527907\pi\)
−0.996159 + 0.0875604i \(0.972093\pi\)
\(734\) 0.802668 5.43034i 0.0296270 0.200438i
\(735\) 25.1774 43.6085i 0.928682 1.60852i
\(736\) 1.60534 7.52635i 0.0591735 0.277425i
\(737\) 0.582899 + 0.336537i 0.0214714 + 0.0123965i
\(738\) 5.05395 2.00017i 0.186038 0.0736274i
\(739\) −3.01130 + 11.2383i −0.110773 + 0.413409i −0.998936 0.0461190i \(-0.985315\pi\)
0.888163 + 0.459528i \(0.151981\pi\)
\(740\) 19.7037 + 5.95499i 0.724323 + 0.218910i
\(741\) 28.3026 + 12.8109i 1.03972 + 0.470621i
\(742\) −22.1942 + 16.4780i −0.814777 + 0.604928i
\(743\) −20.1955 + 11.6599i −0.740902 + 0.427760i −0.822397 0.568914i \(-0.807364\pi\)
0.0814949 + 0.996674i \(0.474031\pi\)
\(744\) 15.6065 + 13.1998i 0.572161 + 0.483930i
\(745\) −4.08563 2.35884i −0.149686 0.0864211i
\(746\) −5.54877 2.40210i −0.203155 0.0879471i
\(747\) 4.02715 + 15.0295i 0.147346 + 0.549901i
\(748\) −2.48533 + 1.33172i −0.0908728 + 0.0486925i
\(749\) 5.18256 + 5.18256i 0.189367 + 0.189367i
\(750\) −0.630423 0.499812i −0.0230198 0.0182506i
\(751\) 18.8491 32.6476i 0.687814 1.19133i −0.284730 0.958608i \(-0.591904\pi\)
0.972544 0.232721i \(-0.0747628\pi\)
\(752\) −29.7401 + 44.7075i −1.08451 + 1.63032i
\(753\) 1.80224i 0.0656773i
\(754\) −43.7688 34.7008i −1.59396 1.26373i
\(755\) 23.4830 + 6.29224i 0.854633 + 0.228998i
\(756\) 9.54161 + 0.302559i 0.347025 + 0.0110040i
\(757\) −2.15575 + 8.04536i −0.0783520 + 0.292414i −0.993972 0.109630i \(-0.965033\pi\)
0.915620 + 0.402044i \(0.131700\pi\)
\(758\) −13.0710 + 30.1936i −0.474761 + 1.09668i
\(759\) 1.83897i 0.0667502i
\(760\) 35.5245 16.8852i 1.28861 0.612490i
\(761\) 15.6209i 0.566257i 0.959082 + 0.283129i \(0.0913723\pi\)
−0.959082 + 0.283129i \(0.908628\pi\)
\(762\) 20.3819 + 8.82345i 0.738357 + 0.319640i
\(763\) −6.23234 + 23.2594i −0.225626 + 0.842047i
\(764\) 30.0110 + 31.9766i 1.08576 + 1.15687i
\(765\) 3.21397 + 0.861180i 0.116201 + 0.0311360i
\(766\) −4.75749 + 6.00072i −0.171895 + 0.216815i
\(767\) 31.5225i 1.13821i
\(768\) −14.8071 6.06221i −0.534304 0.218751i
\(769\) 2.80530 4.85892i 0.101162 0.175217i −0.811002 0.585044i \(-0.801077\pi\)
0.912164 + 0.409826i \(0.134411\pi\)
\(770\) −18.0859 + 22.8120i −0.651769 + 0.822089i
\(771\) 4.64326 + 4.64326i 0.167223 + 0.167223i
\(772\) 7.01773 23.2201i 0.252574 0.835710i
\(773\) 3.12709 + 11.6705i 0.112474 + 0.419757i 0.999086 0.0427569i \(-0.0136141\pi\)
−0.886612 + 0.462514i \(0.846947\pi\)
\(774\) 1.20072 2.77362i 0.0431589 0.0996955i
\(775\) 32.4084 + 18.7110i 1.16414 + 0.672118i
\(776\) 39.7049 3.31715i 1.42532 0.119079i
\(777\) −13.3353 + 7.69911i −0.478400 + 0.276204i
\(778\) 20.4607 + 27.5585i 0.733551 + 0.988020i
\(779\) 1.64834 + 16.6716i 0.0590579 + 0.597322i
\(780\) −21.4788 40.0849i −0.769063 1.43527i
\(781\) −2.49218 + 9.30095i −0.0891773 + 0.332814i
\(782\) 0.738388 + 1.86573i 0.0264047 + 0.0667182i
\(783\) 4.79911 + 2.77077i 0.171506 + 0.0990191i
\(784\) 3.99986 63.0071i 0.142852 2.25025i
\(785\) −22.3553 + 38.7205i −0.797894 + 1.38199i
\(786\) −12.7103 1.87873i −0.453362 0.0670122i
\(787\) 26.7768 26.7768i 0.954490 0.954490i −0.0445188 0.999009i \(-0.514175\pi\)
0.999009 + 0.0445188i \(0.0141755\pi\)
\(788\) −0.568540 0.0180281i −0.0202534 0.000642223i
\(789\) −3.21263 11.9897i −0.114373 0.426844i
\(790\) 28.6596 + 38.6016i 1.01966 + 1.37338i
\(791\) 54.2027i 1.92722i
\(792\) −3.76268 0.678660i −0.133701 0.0241151i
\(793\) −30.5668 52.9432i −1.08546 1.88007i
\(794\) 1.22532 + 10.6033i 0.0434850 + 0.376296i
\(795\) −12.6193 3.38133i −0.447560 0.119923i
\(796\) −1.52318 6.50238i −0.0539876 0.230471i
\(797\) 30.0880 + 30.0880i 1.06577 + 1.06577i 0.997679 + 0.0680934i \(0.0216916\pi\)
0.0680934 + 0.997679i \(0.478308\pi\)
\(798\) −8.97598 + 28.0215i −0.317746 + 0.991950i
\(799\) 14.0004i 0.495298i
\(800\) −28.6485 6.11061i −1.01288 0.216043i
\(801\) 11.2122 6.47336i 0.396163 0.228725i
\(802\) −24.9852 19.8088i −0.882259 0.699473i
\(803\) 1.81640 6.77889i 0.0640993 0.239222i
\(804\) −0.681493 0.726128i −0.0240344 0.0256086i
\(805\) 14.6488 + 14.6488i 0.516304 + 0.516304i
\(806\) 43.4213 + 58.4841i 1.52945 + 2.06001i
\(807\) 5.14817 8.91689i 0.181224 0.313889i
\(808\) −8.39049 1.51336i −0.295176 0.0532399i
\(809\) 5.09036i 0.178967i −0.995988 0.0894837i \(-0.971478\pi\)
0.995988 0.0894837i \(-0.0285217\pi\)
\(810\) 2.68955 + 3.62256i 0.0945013 + 0.127284i
\(811\) −27.5483 + 7.38156i −0.967353 + 0.259202i −0.707710 0.706503i \(-0.750272\pi\)
−0.259643 + 0.965705i \(0.583605\pi\)
\(812\) 27.8896 44.9529i 0.978733 1.57754i
\(813\) −16.8714 + 4.52069i −0.591707 + 0.158547i
\(814\) 5.73432 2.26944i 0.200988 0.0795439i
\(815\) −56.8843 + 32.8422i −1.99257 + 1.15041i
\(816\) 4.08993 0.822266i 0.143176 0.0287851i
\(817\) 7.20323 + 5.90701i 0.252009 + 0.206660i
\(818\) 11.0945 + 1.63989i 0.387909 + 0.0573374i
\(819\) 32.8606 + 8.80498i 1.14824 + 0.307671i
\(820\) 12.9286 20.8386i 0.451488 0.727716i
\(821\) −49.5449 + 13.2755i −1.72913 + 0.463319i −0.979982 0.199084i \(-0.936203\pi\)
−0.749148 + 0.662403i \(0.769537\pi\)
\(822\) 7.92673 18.3105i 0.276476 0.638651i
\(823\) −2.59457 + 4.49392i −0.0904409 + 0.156648i −0.907697 0.419627i \(-0.862161\pi\)
0.817256 + 0.576275i \(0.195494\pi\)
\(824\) 4.77912 10.1450i 0.166489 0.353417i
\(825\) −6.99990 −0.243705
\(826\) 29.6581 3.42730i 1.03194 0.119251i
\(827\) 12.7622 3.41962i 0.443785 0.118912i −0.0300049 0.999550i \(-0.509552\pi\)
0.473790 + 0.880638i \(0.342886\pi\)
\(828\) −0.787141 + 2.60447i −0.0273550 + 0.0905117i
\(829\) 9.59422 + 9.59422i 0.333221 + 0.333221i 0.853808 0.520587i \(-0.174287\pi\)
−0.520587 + 0.853808i \(0.674287\pi\)
\(830\) 55.0113 + 43.6141i 1.90947 + 1.51387i
\(831\) −11.5724 20.0440i −0.401443 0.695319i
\(832\) −46.4489 33.0689i −1.61033 1.14646i
\(833\) 8.23062 + 14.2558i 0.285174 + 0.493936i
\(834\) 20.1763 7.98507i 0.698649 0.276500i
\(835\) 19.2848 19.2848i 0.667378 0.667378i
\(836\) 5.19732 10.5765i 0.179753 0.365795i
\(837\) −5.11003 5.11003i −0.176628 0.176628i
\(838\) 12.2720 28.3478i 0.423928 0.979259i
\(839\) −29.9956 + 17.3180i −1.03556 + 0.597883i −0.918574 0.395250i \(-0.870658\pi\)
−0.116991 + 0.993133i \(0.537325\pi\)
\(840\) 35.3788 24.5666i 1.22068 0.847630i
\(841\) 1.47966 0.854281i 0.0510227 0.0294580i
\(842\) −1.46809 12.7040i −0.0505936 0.437810i
\(843\) 0.430287 0.430287i 0.0148199 0.0148199i
\(844\) −14.1924 + 7.60475i −0.488524 + 0.261766i
\(845\) −31.2104 116.479i −1.07367 4.00699i
\(846\) 11.7942 14.8762i 0.405492 0.511455i
\(847\) 43.7832i 1.50441i
\(848\) −16.0586 + 3.22854i −0.551456 + 0.110868i
\(849\) −11.1201 6.42016i −0.381639 0.220339i
\(850\) 7.10176 2.81062i 0.243588 0.0964036i
\(851\) −1.13587 4.23911i −0.0389370 0.145315i
\(852\) 7.51073 12.1059i 0.257313 0.414742i
\(853\) −7.52360 + 28.0785i −0.257603 + 0.961388i 0.709020 + 0.705188i \(0.249137\pi\)
−0.966624 + 0.256201i \(0.917529\pi\)
\(854\) 46.4884 34.5151i 1.59080 1.18108i
\(855\) −13.0132 + 4.90342i −0.445043 + 0.167694i
\(856\) 1.46942 + 4.08691i 0.0502238 + 0.139688i
\(857\) −9.87878 17.1105i −0.337453 0.584485i 0.646500 0.762914i \(-0.276232\pi\)
−0.983953 + 0.178429i \(0.942899\pi\)
\(858\) −12.5038 5.41296i −0.426871 0.184795i
\(859\) −2.45046 9.14524i −0.0836086 0.312031i 0.911438 0.411436i \(-0.134973\pi\)
−0.995047 + 0.0994049i \(0.968306\pi\)
\(860\) −3.11012 13.2770i −0.106054 0.452741i
\(861\) 4.74809 + 17.7201i 0.161815 + 0.603900i
\(862\) 44.9588 + 6.64544i 1.53130 + 0.226345i
\(863\) 53.5894 1.82420 0.912102 0.409964i \(-0.134459\pi\)
0.912102 + 0.409964i \(0.134459\pi\)
\(864\) 5.03848 + 2.57172i 0.171412 + 0.0874917i
\(865\) 50.2089 + 28.9881i 1.70715 + 0.985625i
\(866\) −3.18919 + 21.5760i −0.108373 + 0.733184i
\(867\) 11.2517 11.2517i 0.382127 0.382127i
\(868\) −50.3040 + 47.2118i −1.70743 + 1.60247i
\(869\) 13.9135 + 3.72812i 0.471984 + 0.126468i
\(870\) 24.8372 2.87020i 0.842059 0.0973088i
\(871\) −1.77440 3.07335i −0.0601232 0.104136i
\(872\) −9.21458 + 10.8946i −0.312045 + 0.368938i
\(873\) −14.0867 −0.476763
\(874\) −7.05215 4.53811i −0.238543 0.153504i
\(875\) 1.92006 1.92006i 0.0649099 0.0649099i
\(876\) −5.47411 + 8.82327i −0.184953 + 0.298111i
\(877\) −5.55299 + 20.7240i −0.187511 + 0.699801i 0.806568 + 0.591142i \(0.201323\pi\)
−0.994079 + 0.108660i \(0.965344\pi\)
\(878\) 38.2704 + 30.3416i 1.29156 + 1.02398i
\(879\) −5.06749 + 2.92572i −0.170922 + 0.0986820i
\(880\) −15.4558 + 7.66143i −0.521015 + 0.258267i
\(881\) −27.3838 −0.922584 −0.461292 0.887248i \(-0.652614\pi\)
−0.461292 + 0.887248i \(0.652614\pi\)
\(882\) −3.26387 + 22.0813i −0.109900 + 0.743516i
\(883\) −16.4397 + 4.40501i −0.553241 + 0.148240i −0.524599 0.851349i \(-0.675785\pi\)
−0.0286417 + 0.999590i \(0.509118\pi\)
\(884\) 14.8591 + 0.471174i 0.499767 + 0.0158473i
\(885\) 9.97749 + 9.97749i 0.335390 + 0.335390i
\(886\) 19.0862 14.1705i 0.641213 0.476066i
\(887\) 26.0878 + 15.0618i 0.875943 + 0.505726i 0.869319 0.494252i \(-0.164558\pi\)
0.00662457 + 0.999978i \(0.497891\pi\)
\(888\) −9.09275 + 0.759655i −0.305133 + 0.0254923i
\(889\) −37.4808 + 64.9187i −1.25707 + 2.17730i
\(890\) 23.2063 53.6059i 0.777879 1.79687i
\(891\) 1.30571 + 0.349864i 0.0437430 + 0.0117209i
\(892\) 17.4955 + 5.28759i 0.585791 + 0.177042i
\(893\) 34.1008 + 47.5498i 1.14114 + 1.59119i
\(894\) 2.06877 + 0.305788i 0.0691900 + 0.0102271i
\(895\) 11.5729 + 20.0448i 0.386838 + 0.670023i
\(896\) 26.0628 47.2971i 0.870697 1.58009i
\(897\) −4.84800 + 8.39698i −0.161870 + 0.280367i
\(898\) 19.5045 7.71919i 0.650874 0.257593i
\(899\) −38.6822 + 10.3649i −1.29013 + 0.345688i
\(900\) 9.91375 + 2.99620i 0.330458 + 0.0998733i
\(901\) 3.01994 3.01994i 0.100609 0.100609i
\(902\) −0.843453 7.29879i −0.0280839 0.243023i
\(903\) 8.83429 + 5.10048i 0.293987 + 0.169733i
\(904\) −13.6877 + 29.0559i −0.455247 + 0.966385i
\(905\) 39.5466 1.31457
\(906\) −10.7055 + 1.23713i −0.355665 + 0.0411009i
\(907\) −5.13028 + 19.1465i −0.170348 + 0.635748i 0.826949 + 0.562277i \(0.190074\pi\)
−0.997297 + 0.0734711i \(0.976592\pi\)
\(908\) 1.39379 43.9550i 0.0462545 1.45870i
\(909\) 2.91164 + 0.780172i 0.0965730 + 0.0258767i
\(910\) 142.721 56.4839i 4.73115 1.87242i
\(911\) −8.49085 −0.281314 −0.140657 0.990058i \(-0.544922\pi\)
−0.140657 + 0.990058i \(0.544922\pi\)
\(912\) −11.8879 + 12.7545i −0.393648 + 0.422344i
\(913\) 21.0332 0.696096
\(914\) −9.02121 + 3.57027i −0.298395 + 0.118094i
\(915\) 26.4325 + 7.08258i 0.873833 + 0.234143i
\(916\) 43.0729 + 1.36582i 1.42317 + 0.0451278i
\(917\) 11.2238 41.8879i 0.370643 1.38326i
\(918\) −1.46519 + 0.169318i −0.0483585 + 0.00558834i
\(919\) 16.3860 0.540526 0.270263 0.962787i \(-0.412889\pi\)
0.270263 + 0.962787i \(0.412889\pi\)
\(920\) 4.15341 + 11.5519i 0.136934 + 0.380855i
\(921\) −5.08246 2.93436i −0.167473 0.0966904i
\(922\) −1.37972 11.9394i −0.0454388 0.393203i
\(923\) 35.8994 35.8994i 1.18164 1.18164i
\(924\) 3.73333 12.3527i 0.122817 0.406375i
\(925\) −16.1359 + 4.32360i −0.530545 + 0.142159i
\(926\) 28.4548 11.2614i 0.935082 0.370072i
\(927\) −1.98243 + 3.43367i −0.0651115 + 0.112776i
\(928\) 26.3024 17.0545i 0.863419 0.559843i
\(929\) −13.3963 23.2031i −0.439518 0.761268i 0.558134 0.829751i \(-0.311517\pi\)
−0.997652 + 0.0684830i \(0.978184\pi\)
\(930\) −32.2551 4.76767i −1.05769 0.156338i
\(931\) −62.6768 28.3701i −2.05415 0.929792i
\(932\) −14.8601 + 49.1688i −0.486759 + 1.61058i
\(933\) 15.8242 + 4.24009i 0.518062 + 0.138814i
\(934\) −1.37539 + 3.17711i −0.0450043 + 0.103958i
\(935\) 2.24891 3.89522i 0.0735471 0.127387i
\(936\) 15.3918 + 13.0183i 0.503096 + 0.425515i
\(937\) −32.1987 18.5899i −1.05188 0.607306i −0.128708 0.991682i \(-0.541083\pi\)
−0.923176 + 0.384377i \(0.874416\pi\)
\(938\) 2.69865 2.00360i 0.0881140 0.0654199i
\(939\) −21.0417 21.0417i −0.686668 0.686668i
\(940\) 2.71467 85.6110i 0.0885429 2.79232i
\(941\) 14.1639 3.79521i 0.461730 0.123720i −0.0204526 0.999791i \(-0.506511\pi\)
0.482183 + 0.876071i \(0.339844\pi\)
\(942\) 2.89803 19.6062i 0.0944228 0.638805i
\(943\) −5.22857 −0.170266
\(944\) 16.7640 + 5.65227i 0.545622 + 0.183966i
\(945\) −13.1880 + 7.61409i −0.429005 + 0.247686i
\(946\) −3.20145 2.53818i −0.104088 0.0825233i
\(947\) −7.34054 + 27.3953i −0.238536 + 0.890227i 0.737987 + 0.674814i \(0.235776\pi\)
−0.976523 + 0.215413i \(0.930890\pi\)
\(948\) −18.1096 11.2355i −0.588171 0.364912i
\(949\) −26.1649 + 26.1649i −0.849347 + 0.849347i
\(950\) −17.2740 + 26.8435i −0.560443 + 0.870920i
\(951\) −4.10598 −0.133145
\(952\) 1.17226 + 14.0315i 0.0379933 + 0.454764i
\(953\) 1.83721 + 3.18213i 0.0595129 + 0.103079i 0.894247 0.447574i \(-0.147712\pi\)
−0.834734 + 0.550653i \(0.814379\pi\)
\(954\) 5.75291 0.664810i 0.186257 0.0215240i
\(955\) −67.5710 18.1056i −2.18655 0.585883i
\(956\) 20.8905 + 22.2587i 0.675647 + 0.719899i
\(957\) 5.29686 5.29686i 0.171223 0.171223i
\(958\) −3.11384 + 21.0663i −0.100604 + 0.680621i
\(959\) 58.3211 + 33.6717i 1.88329 + 1.08732i
\(960\) 25.1690 4.23505i 0.812325 0.136686i
\(961\) 21.2247 0.684669
\(962\) −32.1666 4.75459i −1.03709 0.153294i
\(963\) −0.397416 1.48318i −0.0128066 0.0477947i
\(964\) 11.9450 2.79810i 0.384721 0.0901207i
\(965\) 10.0149 + 37.3763i 0.322393 + 1.20319i
\(966\) −8.42743 3.64829i −0.271148 0.117382i
\(967\) −7.14430 12.3743i −0.229745 0.397930i 0.727987 0.685590i \(-0.240456\pi\)
−0.957732 + 0.287660i \(0.907123\pi\)
\(968\) 11.0565 23.4705i 0.355370 0.754369i
\(969\) 0.738848 4.48563i 0.0237352 0.144099i
\(970\) −51.0299 + 37.8870i −1.63847 + 1.21648i
\(971\) −12.9836 + 48.4554i −0.416663 + 1.55501i 0.364818 + 0.931079i \(0.381131\pi\)
−0.781481 + 0.623929i \(0.785535\pi\)
\(972\) −1.69949 1.05439i −0.0545111 0.0338196i
\(973\) 18.9553 + 70.7421i 0.607679 + 2.26789i
\(974\) 37.4380 14.8166i 1.19959 0.474756i
\(975\) 31.9625 + 18.4536i 1.02362 + 0.590987i
\(976\) 33.6367 6.76254i 1.07668 0.216464i
\(977\) 8.13639i 0.260306i −0.991494 0.130153i \(-0.958453\pi\)
0.991494 0.130153i \(-0.0415469\pi\)
\(978\) 18.0889 22.8158i 0.578418 0.729570i
\(979\) −4.52960 16.9047i −0.144767 0.540276i
\(980\) 47.5653 + 88.7691i 1.51942 + 2.83563i
\(981\) 3.56722 3.56722i 0.113893 0.113893i
\(982\) −1.82077 15.7560i −0.0581031 0.502793i
\(983\) −10.9430 + 6.31792i −0.349026 + 0.201510i −0.664256 0.747505i \(-0.731252\pi\)
0.315230 + 0.949015i \(0.397918\pi\)
\(984\) −1.92958 + 10.6981i −0.0615126 + 0.341043i
\(985\) 0.785811 0.453688i 0.0250380 0.0144557i
\(986\) −3.24712 + 7.50075i −0.103409 + 0.238872i
\(987\) 45.3080 + 45.3080i 1.44217 + 1.44217i
\(988\) −51.6140 + 34.5922i −1.64206 + 1.10052i
\(989\) −2.05583 + 2.05583i −0.0653715 + 0.0653715i
\(990\) 5.67100 2.24438i 0.180236 0.0713310i
\(991\) −16.8831 29.2425i −0.536311 0.928917i −0.999099 0.0424483i \(-0.986484\pi\)
0.462788 0.886469i \(-0.346849\pi\)
\(992\) −38.8883 + 12.6052i −1.23471 + 0.400215i
\(993\) 3.04441 + 5.27307i 0.0966114 + 0.167336i
\(994\) 37.6793 + 29.8729i 1.19511 + 0.947511i
\(995\) 7.53295 + 7.53295i 0.238811 + 0.238811i
\(996\) −29.7887 9.00292i −0.943890 0.285269i
\(997\) −18.8586 + 5.05314i −0.597258 + 0.160035i −0.544768 0.838587i \(-0.683382\pi\)
−0.0524896 + 0.998621i \(0.516716\pi\)
\(998\) 26.3458 3.04454i 0.833961 0.0963731i
\(999\) 3.22597 0.102065
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 912.2.bu.a.715.50 yes 320
16.3 odd 4 inner 912.2.bu.a.259.23 320
19.8 odd 6 inner 912.2.bu.a.331.23 yes 320
304.179 even 12 inner 912.2.bu.a.787.50 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
912.2.bu.a.259.23 320 16.3 odd 4 inner
912.2.bu.a.331.23 yes 320 19.8 odd 6 inner
912.2.bu.a.715.50 yes 320 1.1 even 1 trivial
912.2.bu.a.787.50 yes 320 304.179 even 12 inner