Properties

Label 147.2.o.b.101.16
Level $147$
Weight $2$
Character 147.101
Analytic conductor $1.174$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [147,2,Mod(5,147)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(147, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([21, 29]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("147.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), 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: \(1.17380090971\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.16
Character \(\chi\) \(=\) 147.101
Dual form 147.2.o.b.131.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.46678 + 0.968139i) q^{2} +(-0.609354 - 1.62132i) q^{3} +(3.68159 + 3.41602i) q^{4} +(-0.558201 - 0.380575i) q^{5} +(0.0665255 - 4.58938i) q^{6} +(-2.61511 - 0.401468i) q^{7} +(3.47494 + 7.21578i) q^{8} +(-2.25738 + 1.97592i) q^{9} +O(q^{10})\) \(q+(2.46678 + 0.968139i) q^{2} +(-0.609354 - 1.62132i) q^{3} +(3.68159 + 3.41602i) q^{4} +(-0.558201 - 0.380575i) q^{5} +(0.0665255 - 4.58938i) q^{6} +(-2.61511 - 0.401468i) q^{7} +(3.47494 + 7.21578i) q^{8} +(-2.25738 + 1.97592i) q^{9} +(-1.00851 - 1.47921i) q^{10} +(-0.397532 - 2.63745i) q^{11} +(3.29508 - 8.05061i) q^{12} +(-1.84693 + 1.47288i) q^{13} +(-6.06223 - 3.52212i) q^{14} +(-0.276893 + 1.13693i) q^{15} +(0.835388 + 11.1475i) q^{16} +(6.22493 + 1.92014i) q^{17} +(-7.48141 + 2.68870i) q^{18} +(-3.81368 + 2.20183i) q^{19} +(-0.755017 - 3.30794i) q^{20} +(0.942621 + 4.48458i) q^{21} +(1.57280 - 6.89087i) q^{22} +(-0.902543 - 2.92597i) q^{23} +(9.58165 - 10.0310i) q^{24} +(-1.65995 - 4.22949i) q^{25} +(-5.98191 + 1.84518i) q^{26} +(4.57914 + 2.45590i) q^{27} +(-8.25636 - 10.4113i) q^{28} +(4.05261 - 0.924982i) q^{29} +(-1.78374 + 2.53648i) q^{30} +(-2.82899 - 1.63332i) q^{31} +(-4.01025 + 13.0009i) q^{32} +(-4.03393 + 2.25167i) q^{33} +(13.4966 + 10.7631i) q^{34} +(1.30697 + 1.21935i) q^{35} +(-15.0605 - 0.436712i) q^{36} +(-0.670537 + 0.622167i) q^{37} +(-11.5392 + 1.73925i) q^{38} +(3.51344 + 2.09697i) q^{39} +(0.806432 - 5.35033i) q^{40} +(0.0490626 - 0.0236273i) q^{41} +(-2.01646 + 11.9750i) q^{42} +(9.68158 + 4.66240i) q^{43} +(7.54604 - 11.0680i) q^{44} +(2.01205 - 0.243859i) q^{45} +(0.606375 - 8.09151i) q^{46} +(2.86592 - 7.30225i) q^{47} +(17.5646 - 8.14719i) q^{48} +(6.67765 + 2.09977i) q^{49} -12.0403i q^{50} +(-0.680023 - 11.2627i) q^{51} +(-11.8310 - 0.886612i) q^{52} +(-7.93513 + 8.55204i) q^{53} +(8.91807 + 10.4914i) q^{54} +(-0.781845 + 1.62352i) q^{55} +(-6.19045 - 20.2652i) q^{56} +(5.89375 + 4.84151i) q^{57} +(10.8924 + 1.64177i) q^{58} +(4.53756 - 3.09366i) q^{59} +(-4.90317 + 3.23983i) q^{60} +(5.32435 + 5.73828i) q^{61} +(-5.39720 - 6.76788i) q^{62} +(6.69656 - 4.26099i) q^{63} +(-8.53940 + 10.7081i) q^{64} +(1.59150 - 0.119266i) q^{65} +(-12.1307 + 1.64897i) q^{66} +(-5.29084 + 9.16400i) q^{67} +(16.3584 + 28.3336i) q^{68} +(-4.19398 + 3.24627i) q^{69} +(2.04351 + 4.27318i) q^{70} +(-4.60073 - 1.05009i) q^{71} +(-22.1020 - 9.42254i) q^{72} +(-2.97520 + 1.16768i) q^{73} +(-2.25641 + 0.885575i) q^{74} +(-5.84588 + 5.26858i) q^{75} +(-21.5619 - 4.92136i) q^{76} +(-0.0192611 + 7.05684i) q^{77} +(6.63672 + 8.57424i) q^{78} +(-5.34565 - 9.25893i) q^{79} +(3.77613 - 6.54045i) q^{80} +(1.19149 - 8.92078i) q^{81} +(0.143901 - 0.0107839i) q^{82} +(0.527719 - 0.661739i) q^{83} +(-11.8491 + 19.7304i) q^{84} +(-2.74401 - 3.44087i) q^{85} +(19.3684 + 20.8742i) q^{86} +(-3.96917 - 6.00695i) q^{87} +(17.6499 - 12.0335i) q^{88} +(-9.48349 - 1.42941i) q^{89} +(5.19938 + 1.34640i) q^{90} +(5.42124 - 3.11026i) q^{91} +(6.67238 - 13.8553i) q^{92} +(-0.924279 + 5.58197i) q^{93} +(14.1392 - 15.2384i) q^{94} +(2.96676 + 0.222328i) q^{95} +(23.5223 - 1.42024i) q^{96} +5.34721i q^{97} +(14.4394 + 11.6445i) q^{98} +(6.10877 + 5.16823i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9} - 28 q^{10} + 21 q^{12} - 28 q^{13} - 10 q^{15} - 20 q^{16} - 3 q^{18} - 42 q^{19} - 14 q^{21} - 34 q^{22} - 14 q^{24} - 16 q^{25} + 7 q^{27} - 70 q^{28} - q^{30} - 42 q^{31} - 14 q^{33} + 28 q^{34} + 10 q^{36} + 46 q^{37} + 51 q^{39} + 112 q^{40} - 28 q^{42} - 36 q^{43} - 35 q^{45} + 148 q^{46} + 28 q^{49} - 20 q^{51} - 28 q^{52} - 14 q^{54} + 182 q^{55} + 2 q^{57} + 126 q^{58} - 132 q^{60} - 168 q^{61} - 119 q^{63} - 4 q^{64} - 42 q^{66} - 26 q^{67} + 70 q^{69} + 28 q^{70} + 6 q^{72} - 28 q^{73} - 140 q^{75} - 252 q^{76} + 36 q^{78} - 10 q^{79} + 134 q^{81} + 42 q^{82} + 56 q^{84} - 76 q^{85} + 98 q^{87} - 20 q^{88} + 175 q^{90} + 178 q^{93} + 322 q^{96} - 136 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.46678 + 0.968139i 1.74427 + 0.684577i 0.999858 + 0.0168620i \(0.00536758\pi\)
0.744417 + 0.667715i \(0.232728\pi\)
\(3\) −0.609354 1.62132i −0.351811 0.936071i
\(4\) 3.68159 + 3.41602i 1.84080 + 1.70801i
\(5\) −0.558201 0.380575i −0.249635 0.170198i 0.432038 0.901856i \(-0.357795\pi\)
−0.681673 + 0.731657i \(0.738747\pi\)
\(6\) 0.0665255 4.58938i 0.0271589 1.87361i
\(7\) −2.61511 0.401468i −0.988420 0.151741i
\(8\) 3.47494 + 7.21578i 1.22858 + 2.55116i
\(9\) −2.25738 + 1.97592i −0.752459 + 0.658639i
\(10\) −1.00851 1.47921i −0.318918 0.467767i
\(11\) −0.397532 2.63745i −0.119860 0.795222i −0.965299 0.261149i \(-0.915899\pi\)
0.845438 0.534073i \(-0.179339\pi\)
\(12\) 3.29508 8.05061i 0.951207 2.32401i
\(13\) −1.84693 + 1.47288i −0.512246 + 0.408503i −0.845208 0.534438i \(-0.820523\pi\)
0.332962 + 0.942940i \(0.391952\pi\)
\(14\) −6.06223 3.52212i −1.62020 0.941327i
\(15\) −0.276893 + 1.13693i −0.0714934 + 0.293554i
\(16\) 0.835388 + 11.1475i 0.208847 + 2.78687i
\(17\) 6.22493 + 1.92014i 1.50977 + 0.465702i 0.935608 0.353041i \(-0.114852\pi\)
0.574160 + 0.818743i \(0.305329\pi\)
\(18\) −7.48141 + 2.68870i −1.76338 + 0.633732i
\(19\) −3.81368 + 2.20183i −0.874918 + 0.505134i −0.868979 0.494848i \(-0.835224\pi\)
−0.00593852 + 0.999982i \(0.501890\pi\)
\(20\) −0.755017 3.30794i −0.168827 0.739679i
\(21\) 0.942621 + 4.48458i 0.205697 + 0.978616i
\(22\) 1.57280 6.89087i 0.335321 1.46914i
\(23\) −0.902543 2.92597i −0.188193 0.610107i −0.999669 0.0257215i \(-0.991812\pi\)
0.811476 0.584386i \(-0.198665\pi\)
\(24\) 9.58165 10.0310i 1.95585 2.04756i
\(25\) −1.65995 4.22949i −0.331991 0.845899i
\(26\) −5.98191 + 1.84518i −1.17315 + 0.361869i
\(27\) 4.57914 + 2.45590i 0.881256 + 0.472639i
\(28\) −8.25636 10.4113i −1.56031 1.96755i
\(29\) 4.05261 0.924982i 0.752551 0.171765i 0.170996 0.985272i \(-0.445302\pi\)
0.581555 + 0.813507i \(0.302444\pi\)
\(30\) −1.78374 + 2.53648i −0.325664 + 0.463095i
\(31\) −2.82899 1.63332i −0.508101 0.293352i 0.223952 0.974600i \(-0.428104\pi\)
−0.732053 + 0.681248i \(0.761438\pi\)
\(32\) −4.01025 + 13.0009i −0.708918 + 2.29826i
\(33\) −4.03393 + 2.25167i −0.702216 + 0.391965i
\(34\) 13.4966 + 10.7631i 2.31464 + 1.84586i
\(35\) 1.30697 + 1.21935i 0.220918 + 0.206107i
\(36\) −15.0605 0.436712i −2.51008 0.0727853i
\(37\) −0.670537 + 0.622167i −0.110236 + 0.102284i −0.733365 0.679835i \(-0.762051\pi\)
0.623130 + 0.782119i \(0.285861\pi\)
\(38\) −11.5392 + 1.73925i −1.87190 + 0.282144i
\(39\) 3.51344 + 2.09697i 0.562601 + 0.335783i
\(40\) 0.806432 5.35033i 0.127508 0.845961i
\(41\) 0.0490626 0.0236273i 0.00766230 0.00368997i −0.430049 0.902806i \(-0.641504\pi\)
0.437711 + 0.899116i \(0.355789\pi\)
\(42\) −2.01646 + 11.9750i −0.311147 + 1.84779i
\(43\) 9.68158 + 4.66240i 1.47643 + 0.711010i 0.986953 0.161009i \(-0.0514747\pi\)
0.489474 + 0.872018i \(0.337189\pi\)
\(44\) 7.54604 11.0680i 1.13761 1.66856i
\(45\) 2.01205 0.243859i 0.299939 0.0363523i
\(46\) 0.606375 8.09151i 0.0894051 1.19303i
\(47\) 2.86592 7.30225i 0.418038 1.06514i −0.554456 0.832213i \(-0.687074\pi\)
0.972494 0.232930i \(-0.0748312\pi\)
\(48\) 17.5646 8.14719i 2.53523 1.17595i
\(49\) 6.67765 + 2.09977i 0.953950 + 0.299967i
\(50\) 12.0403i 1.70275i
\(51\) −0.680023 11.2627i −0.0952223 1.57709i
\(52\) −11.8310 0.886612i −1.64067 0.122951i
\(53\) −7.93513 + 8.55204i −1.08997 + 1.17471i −0.106378 + 0.994326i \(0.533925\pi\)
−0.983596 + 0.180387i \(0.942265\pi\)
\(54\) 8.91807 + 10.4914i 1.21360 + 1.42770i
\(55\) −0.781845 + 1.62352i −0.105424 + 0.218915i
\(56\) −6.19045 20.2652i −0.827234 2.70805i
\(57\) 5.89375 + 4.84151i 0.780647 + 0.641274i
\(58\) 10.8924 + 1.64177i 1.43024 + 0.215574i
\(59\) 4.53756 3.09366i 0.590740 0.402760i −0.230725 0.973019i \(-0.574110\pi\)
0.821465 + 0.570259i \(0.193157\pi\)
\(60\) −4.90317 + 3.23983i −0.632997 + 0.418261i
\(61\) 5.32435 + 5.73828i 0.681713 + 0.734712i 0.975218 0.221246i \(-0.0710123\pi\)
−0.293505 + 0.955957i \(0.594822\pi\)
\(62\) −5.39720 6.76788i −0.685445 0.859521i
\(63\) 6.69656 4.26099i 0.843688 0.536834i
\(64\) −8.53940 + 10.7081i −1.06742 + 1.33851i
\(65\) 1.59150 0.119266i 0.197401 0.0147932i
\(66\) −12.1307 + 1.64897i −1.49319 + 0.202974i
\(67\) −5.29084 + 9.16400i −0.646379 + 1.11956i 0.337603 + 0.941289i \(0.390384\pi\)
−0.983981 + 0.178272i \(0.942949\pi\)
\(68\) 16.3584 + 28.3336i 1.98375 + 3.43596i
\(69\) −4.19398 + 3.24627i −0.504896 + 0.390804i
\(70\) 2.04351 + 4.27318i 0.244246 + 0.510743i
\(71\) −4.60073 1.05009i −0.546006 0.124622i −0.0593843 0.998235i \(-0.518914\pi\)
−0.486621 + 0.873613i \(0.661771\pi\)
\(72\) −22.1020 9.42254i −2.60475 1.11046i
\(73\) −2.97520 + 1.16768i −0.348221 + 0.136666i −0.533004 0.846113i \(-0.678937\pi\)
0.184783 + 0.982779i \(0.440842\pi\)
\(74\) −2.25641 + 0.885575i −0.262302 + 0.102946i
\(75\) −5.84588 + 5.26858i −0.675024 + 0.608363i
\(76\) −21.5619 4.92136i −2.47332 0.564519i
\(77\) −0.0192611 + 7.05684i −0.00219501 + 0.804201i
\(78\) 6.63672 + 8.57424i 0.751461 + 0.970842i
\(79\) −5.34565 9.25893i −0.601432 1.04171i −0.992604 0.121394i \(-0.961264\pi\)
0.391172 0.920318i \(-0.372070\pi\)
\(80\) 3.77613 6.54045i 0.422185 0.731245i
\(81\) 1.19149 8.92078i 0.132388 0.991198i
\(82\) 0.143901 0.0107839i 0.0158912 0.00119088i
\(83\) 0.527719 0.661739i 0.0579247 0.0726353i −0.752025 0.659134i \(-0.770923\pi\)
0.809950 + 0.586499i \(0.199494\pi\)
\(84\) −11.8491 + 19.7304i −1.29284 + 2.15276i
\(85\) −2.74401 3.44087i −0.297629 0.373215i
\(86\) 19.3684 + 20.8742i 2.08855 + 2.25092i
\(87\) −3.96917 6.00695i −0.425540 0.644013i
\(88\) 17.6499 12.0335i 1.88148 1.28277i
\(89\) −9.48349 1.42941i −1.00525 0.151517i −0.374272 0.927319i \(-0.622107\pi\)
−0.630976 + 0.775802i \(0.717345\pi\)
\(90\) 5.19938 + 1.34640i 0.548062 + 0.141923i
\(91\) 5.42124 3.11026i 0.568301 0.326044i
\(92\) 6.67238 13.8553i 0.695643 1.44452i
\(93\) −0.924279 + 5.58197i −0.0958433 + 0.578823i
\(94\) 14.1392 15.2384i 1.45835 1.57172i
\(95\) 2.96676 + 0.222328i 0.304383 + 0.0228104i
\(96\) 23.5223 1.42024i 2.40074 0.144953i
\(97\) 5.34721i 0.542927i 0.962449 + 0.271463i \(0.0875076\pi\)
−0.962449 + 0.271463i \(0.912492\pi\)
\(98\) 14.4394 + 11.6445i 1.45860 + 1.17628i
\(99\) 6.10877 + 5.16823i 0.613955 + 0.519427i
\(100\) 8.33675 21.2417i 0.833675 2.12417i
\(101\) 0.313979 4.18976i 0.0312421 0.416897i −0.959553 0.281528i \(-0.909159\pi\)
0.990795 0.135369i \(-0.0432221\pi\)
\(102\) 9.22636 28.4408i 0.913546 2.81606i
\(103\) −3.50141 + 5.13563i −0.345004 + 0.506029i −0.959048 0.283244i \(-0.908590\pi\)
0.614044 + 0.789272i \(0.289542\pi\)
\(104\) −17.0459 8.20888i −1.67149 0.804947i
\(105\) 1.18055 2.86203i 0.115210 0.279306i
\(106\) −27.8538 + 13.4137i −2.70540 + 1.30285i
\(107\) 0.0104725 0.0694806i 0.00101242 0.00671695i −0.988319 0.152400i \(-0.951300\pi\)
0.989331 + 0.145683i \(0.0465379\pi\)
\(108\) 8.46913 + 24.6841i 0.814942 + 2.37522i
\(109\) −7.07213 + 1.06595i −0.677387 + 0.102100i −0.478720 0.877967i \(-0.658899\pi\)
−0.198667 + 0.980067i \(0.563661\pi\)
\(110\) −3.50043 + 3.24792i −0.333753 + 0.309677i
\(111\) 1.41733 + 0.708037i 0.134527 + 0.0672039i
\(112\) 2.29072 29.4873i 0.216453 2.78629i
\(113\) 1.47353 + 1.17510i 0.138618 + 0.110544i 0.690344 0.723481i \(-0.257459\pi\)
−0.551726 + 0.834025i \(0.686031\pi\)
\(114\) 9.85132 + 17.6489i 0.922661 + 1.65297i
\(115\) −0.609751 + 1.97676i −0.0568596 + 0.184334i
\(116\) 18.0798 + 10.4384i 1.67867 + 0.969180i
\(117\) 1.25893 6.97422i 0.116388 0.644767i
\(118\) 14.1882 3.23837i 1.30613 0.298116i
\(119\) −15.5080 7.52049i −1.42162 0.689402i
\(120\) −9.16601 + 1.95276i −0.836739 + 0.178261i
\(121\) 3.71317 1.14536i 0.337561 0.104124i
\(122\) 7.57853 + 19.3098i 0.686128 + 1.74822i
\(123\) −0.0682040 0.0651490i −0.00614975 0.00587429i
\(124\) −4.83574 15.6771i −0.434262 1.40784i
\(125\) −1.43472 + 6.28591i −0.128325 + 0.562229i
\(126\) 20.6442 4.02770i 1.83913 0.358816i
\(127\) −0.672005 2.94425i −0.0596308 0.261260i 0.936321 0.351144i \(-0.114207\pi\)
−0.995952 + 0.0898845i \(0.971350\pi\)
\(128\) −7.86654 + 4.54175i −0.695310 + 0.401437i
\(129\) 1.65975 18.5380i 0.146133 1.63218i
\(130\) 4.04133 + 1.24659i 0.354448 + 0.109333i
\(131\) −1.10982 14.8095i −0.0969654 1.29391i −0.807339 0.590088i \(-0.799093\pi\)
0.710374 0.703825i \(-0.248526\pi\)
\(132\) −22.5430 5.49023i −1.96212 0.477863i
\(133\) 10.8572 4.22696i 0.941436 0.366524i
\(134\) −21.9233 + 17.4833i −1.89389 + 1.51033i
\(135\) −1.62143 3.11359i −0.139550 0.267975i
\(136\) 7.77596 + 51.5901i 0.666783 + 4.42382i
\(137\) −2.96736 4.35232i −0.253519 0.371844i 0.678289 0.734795i \(-0.262722\pi\)
−0.931808 + 0.362951i \(0.881769\pi\)
\(138\) −13.4884 + 3.94746i −1.14821 + 0.336030i
\(139\) 0.343671 + 0.713640i 0.0291498 + 0.0605302i 0.915035 0.403374i \(-0.132163\pi\)
−0.885886 + 0.463904i \(0.846448\pi\)
\(140\) 0.646421 + 8.95377i 0.0546326 + 0.756731i
\(141\) −13.5857 0.196932i −1.14412 0.0165846i
\(142\) −10.3323 7.04447i −0.867070 0.591159i
\(143\) 4.61886 + 4.28567i 0.386248 + 0.358386i
\(144\) −23.9123 23.5134i −1.99269 1.95945i
\(145\) −2.61420 1.02600i −0.217097 0.0852044i
\(146\) −8.46962 −0.700951
\(147\) −0.664645 12.1061i −0.0548190 0.998496i
\(148\) −4.59398 −0.377623
\(149\) 7.71205 + 3.02676i 0.631796 + 0.247962i 0.659559 0.751653i \(-0.270743\pi\)
−0.0277630 + 0.999615i \(0.508838\pi\)
\(150\) −19.5212 + 7.33679i −1.59390 + 0.599047i
\(151\) −14.9588 13.8798i −1.21733 1.12952i −0.987720 0.156238i \(-0.950063\pi\)
−0.229613 0.973282i \(-0.573746\pi\)
\(152\) −29.1402 19.8675i −2.36358 1.61146i
\(153\) −17.8460 + 7.96549i −1.44277 + 0.643971i
\(154\) −6.87951 + 17.3890i −0.554367 + 1.40125i
\(155\) 0.957543 + 1.98836i 0.0769117 + 0.159709i
\(156\) 5.77179 + 19.7222i 0.462113 + 1.57904i
\(157\) −1.95889 2.87316i −0.156336 0.229303i 0.740077 0.672522i \(-0.234789\pi\)
−0.896414 + 0.443219i \(0.853837\pi\)
\(158\) −4.22259 28.0150i −0.335931 2.22876i
\(159\) 18.7009 + 7.65419i 1.48308 + 0.607017i
\(160\) 7.18633 5.73091i 0.568130 0.453068i
\(161\) 1.18557 + 8.01409i 0.0934359 + 0.631599i
\(162\) 11.5757 20.8520i 0.909473 1.63829i
\(163\) 0.460642 + 6.14685i 0.0360803 + 0.481458i 0.985751 + 0.168209i \(0.0537984\pi\)
−0.949671 + 0.313249i \(0.898583\pi\)
\(164\) 0.261340 + 0.0806127i 0.0204072 + 0.00629479i
\(165\) 3.10867 + 0.278327i 0.242010 + 0.0216677i
\(166\) 1.94242 1.12146i 0.150761 0.0870420i
\(167\) 1.07324 + 4.70217i 0.0830498 + 0.363865i 0.999327 0.0366797i \(-0.0116781\pi\)
−0.916277 + 0.400545i \(0.868821\pi\)
\(168\) −29.0842 + 22.3854i −2.24390 + 1.72707i
\(169\) −1.65099 + 7.23346i −0.126999 + 0.556420i
\(170\) −3.43761 11.1444i −0.263652 0.854740i
\(171\) 4.25827 12.5059i 0.325638 0.956348i
\(172\) 19.7168 + 50.2375i 1.50339 + 3.83057i
\(173\) 0.462067 0.142529i 0.0351303 0.0108363i −0.277140 0.960829i \(-0.589387\pi\)
0.312271 + 0.949993i \(0.398910\pi\)
\(174\) −3.97549 18.6605i −0.301381 1.41465i
\(175\) 2.64296 + 11.7270i 0.199789 + 0.886480i
\(176\) 29.0688 6.63478i 2.19115 0.500115i
\(177\) −7.78079 5.47172i −0.584840 0.411280i
\(178\) −22.0098 12.7074i −1.64970 0.952457i
\(179\) −3.57857 + 11.6014i −0.267475 + 0.867132i 0.717814 + 0.696235i \(0.245143\pi\)
−0.985289 + 0.170897i \(0.945334\pi\)
\(180\) 8.24058 + 5.97542i 0.614217 + 0.445382i
\(181\) −11.5798 9.23457i −0.860719 0.686400i 0.0901721 0.995926i \(-0.471258\pi\)
−0.950891 + 0.309526i \(0.899830\pi\)
\(182\) 16.3842 2.42380i 1.21447 0.179664i
\(183\) 6.05920 12.1291i 0.447909 0.896611i
\(184\) 17.9769 16.6801i 1.32527 1.22968i
\(185\) 0.611075 0.0921048i 0.0449271 0.00677168i
\(186\) −7.68411 + 12.8746i −0.563426 + 0.944014i
\(187\) 2.58966 17.1813i 0.189375 1.25642i
\(188\) 35.4958 17.0939i 2.58880 1.24670i
\(189\) −10.9890 8.26084i −0.799333 0.600888i
\(190\) 7.10309 + 3.42067i 0.515312 + 0.248161i
\(191\) 7.07949 10.3837i 0.512254 0.751339i −0.479769 0.877395i \(-0.659280\pi\)
0.992023 + 0.126056i \(0.0402320\pi\)
\(192\) 22.5648 + 7.32012i 1.62847 + 0.528284i
\(193\) −0.611623 + 8.16154i −0.0440256 + 0.587481i 0.930947 + 0.365155i \(0.118984\pi\)
−0.974972 + 0.222326i \(0.928635\pi\)
\(194\) −5.17684 + 13.1904i −0.371675 + 0.947014i
\(195\) −1.16315 2.50766i −0.0832952 0.179577i
\(196\) 17.4115 + 30.5415i 1.24368 + 2.18153i
\(197\) 4.13805i 0.294824i 0.989075 + 0.147412i \(0.0470943\pi\)
−0.989075 + 0.147412i \(0.952906\pi\)
\(198\) 10.0654 + 18.6630i 0.715318 + 1.32632i
\(199\) 4.90858 + 0.367847i 0.347960 + 0.0260760i 0.247564 0.968872i \(-0.420370\pi\)
0.100396 + 0.994948i \(0.467989\pi\)
\(200\) 24.7509 26.6751i 1.75015 1.88621i
\(201\) 18.0818 + 2.99404i 1.27539 + 0.211183i
\(202\) 4.83079 10.0312i 0.339893 0.705795i
\(203\) −10.9694 + 0.791941i −0.769901 + 0.0555833i
\(204\) 35.9699 43.7875i 2.51840 3.06574i
\(205\) −0.0363788 0.00548321i −0.00254080 0.000382964i
\(206\) −13.6092 + 9.27860i −0.948198 + 0.646471i
\(207\) 7.81886 + 4.82167i 0.543448 + 0.335129i
\(208\) −17.9618 19.3582i −1.24542 1.34225i
\(209\) 7.32328 + 9.18310i 0.506562 + 0.635208i
\(210\) 5.68299 5.91706i 0.392164 0.408316i
\(211\) 9.47403 11.8801i 0.652219 0.817857i −0.340252 0.940334i \(-0.610512\pi\)
0.992471 + 0.122477i \(0.0390838\pi\)
\(212\) −58.4278 + 4.37856i −4.01284 + 0.300721i
\(213\) 1.10094 + 8.09914i 0.0754353 + 0.554944i
\(214\) 0.0931003 0.161254i 0.00636420 0.0110231i
\(215\) −3.62987 6.28712i −0.247555 0.428778i
\(216\) −1.80902 + 41.5762i −0.123088 + 2.82890i
\(217\) 6.74240 + 5.40706i 0.457704 + 0.367055i
\(218\) −18.4773 4.21733i −1.25144 0.285634i
\(219\) 3.70613 + 4.11223i 0.250437 + 0.277878i
\(220\) −8.42440 + 3.30634i −0.567973 + 0.222913i
\(221\) −14.3251 + 5.62220i −0.963613 + 0.378190i
\(222\) 2.81075 + 3.11874i 0.188645 + 0.209316i
\(223\) 4.94525 + 1.12872i 0.331158 + 0.0755847i 0.384867 0.922972i \(-0.374247\pi\)
−0.0537091 + 0.998557i \(0.517104\pi\)
\(224\) 15.7067 32.3888i 1.04945 2.16407i
\(225\) 12.1043 + 6.26763i 0.806952 + 0.417842i
\(226\) 2.49720 + 4.32528i 0.166112 + 0.287714i
\(227\) −12.6493 + 21.9092i −0.839563 + 1.45417i 0.0506967 + 0.998714i \(0.483856\pi\)
−0.890260 + 0.455452i \(0.849478\pi\)
\(228\) 5.15970 + 37.9576i 0.341710 + 2.51381i
\(229\) −22.8649 + 1.71349i −1.51095 + 0.113230i −0.804255 0.594284i \(-0.797436\pi\)
−0.706699 + 0.707514i \(0.749816\pi\)
\(230\) −3.41790 + 4.28591i −0.225370 + 0.282605i
\(231\) 11.4532 4.26888i 0.753562 0.280872i
\(232\) 20.7571 + 26.0285i 1.36277 + 1.70886i
\(233\) −8.39681 9.04961i −0.550094 0.592860i 0.395397 0.918510i \(-0.370607\pi\)
−0.945490 + 0.325651i \(0.894417\pi\)
\(234\) 9.85751 15.9850i 0.644405 1.04497i
\(235\) −4.37881 + 2.98542i −0.285642 + 0.194748i
\(236\) 27.2734 + 4.11081i 1.77535 + 0.267591i
\(237\) −11.7543 + 14.3090i −0.763526 + 0.929468i
\(238\) −30.9740 33.5653i −2.00775 2.17572i
\(239\) −1.06905 + 2.21991i −0.0691513 + 0.143594i −0.932679 0.360707i \(-0.882535\pi\)
0.863528 + 0.504301i \(0.168250\pi\)
\(240\) −12.9052 2.13688i −0.833026 0.137935i
\(241\) 12.1534 13.0983i 0.782870 0.843733i −0.208060 0.978116i \(-0.566715\pi\)
0.990929 + 0.134383i \(0.0429054\pi\)
\(242\) 10.2684 + 0.769513i 0.660080 + 0.0494662i
\(243\) −15.1895 + 3.50412i −0.974407 + 0.224789i
\(244\) 39.3141i 2.51683i
\(245\) −2.92835 3.71344i −0.187085 0.237243i
\(246\) −0.105171 0.226739i −0.00670545 0.0144563i
\(247\) 3.80057 9.68370i 0.241825 0.616159i
\(248\) 1.95510 26.0890i 0.124149 1.65665i
\(249\) −1.39446 0.452370i −0.0883703 0.0286678i
\(250\) −9.62476 + 14.1169i −0.608724 + 0.892833i
\(251\) 27.3734 + 13.1823i 1.72779 + 0.832060i 0.987078 + 0.160239i \(0.0512264\pi\)
0.740713 + 0.671822i \(0.234488\pi\)
\(252\) 39.2096 + 7.18836i 2.46997 + 0.452824i
\(253\) −7.35833 + 3.54358i −0.462614 + 0.222783i
\(254\) 1.19275 7.91340i 0.0748399 0.496531i
\(255\) −3.90670 + 6.54563i −0.244647 + 0.409903i
\(256\) 3.28429 0.495027i 0.205268 0.0309392i
\(257\) 10.8531 10.0702i 0.677000 0.628164i −0.264814 0.964300i \(-0.585311\pi\)
0.941814 + 0.336136i \(0.109120\pi\)
\(258\) 22.0416 44.1223i 1.37225 2.74693i
\(259\) 2.00331 1.35784i 0.124480 0.0843720i
\(260\) 6.26666 + 4.99749i 0.388642 + 0.309931i
\(261\) −7.32058 + 10.0957i −0.453133 + 0.624906i
\(262\) 11.6000 37.6062i 0.716649 2.32332i
\(263\) 0.0634170 + 0.0366138i 0.00391046 + 0.00225770i 0.501954 0.864894i \(-0.332615\pi\)
−0.498043 + 0.867152i \(0.665948\pi\)
\(264\) −30.2652 21.2835i −1.86269 1.30991i
\(265\) 7.68408 1.75384i 0.472030 0.107738i
\(266\) 30.8745 + 0.0842696i 1.89304 + 0.00516690i
\(267\) 3.46127 + 16.2468i 0.211826 + 0.994289i
\(268\) −50.7831 + 15.6645i −3.10207 + 0.956862i
\(269\) −0.860784 2.19324i −0.0524829 0.133724i 0.902228 0.431260i \(-0.141931\pi\)
−0.954711 + 0.297535i \(0.903835\pi\)
\(270\) −0.985307 9.25030i −0.0599639 0.562955i
\(271\) 5.95547 + 19.3071i 0.361769 + 1.17283i 0.935364 + 0.353687i \(0.115072\pi\)
−0.573595 + 0.819139i \(0.694452\pi\)
\(272\) −16.2044 + 70.9963i −0.982539 + 4.30478i
\(273\) −8.34619 6.89434i −0.505134 0.417264i
\(274\) −3.10617 13.6090i −0.187651 0.822151i
\(275\) −10.4952 + 6.05941i −0.632885 + 0.365396i
\(276\) −26.5298 2.37528i −1.59691 0.142975i
\(277\) 15.0681 + 4.64789i 0.905354 + 0.279265i 0.712260 0.701916i \(-0.247672\pi\)
0.193094 + 0.981180i \(0.438148\pi\)
\(278\) 0.156857 + 2.09311i 0.00940766 + 0.125536i
\(279\) 9.61338 1.90284i 0.575538 0.113920i
\(280\) −4.25690 + 13.6680i −0.254398 + 0.816817i
\(281\) 21.4797 17.1295i 1.28137 1.02186i 0.283347 0.959018i \(-0.408555\pi\)
0.998024 0.0628410i \(-0.0200161\pi\)
\(282\) −33.3221 13.6386i −1.98431 0.812166i
\(283\) 4.29395 + 28.4885i 0.255249 + 1.69347i 0.638340 + 0.769755i \(0.279621\pi\)
−0.383091 + 0.923711i \(0.625140\pi\)
\(284\) −13.3509 19.5822i −0.792229 1.16199i
\(285\) −1.44734 4.94555i −0.0857330 0.292949i
\(286\) 7.24457 + 15.0435i 0.428380 + 0.889541i
\(287\) −0.137790 + 0.0420911i −0.00813349 + 0.00248456i
\(288\) −16.6361 37.2718i −0.980290 2.19626i
\(289\) 21.0168 + 14.3290i 1.23628 + 0.842883i
\(290\) −5.45533 5.06181i −0.320348 0.297240i
\(291\) 8.66955 3.25834i 0.508218 0.191007i
\(292\) −14.9423 5.86441i −0.874430 0.343189i
\(293\) −1.68987 −0.0987230 −0.0493615 0.998781i \(-0.515719\pi\)
−0.0493615 + 0.998781i \(0.515719\pi\)
\(294\) 10.0809 30.5066i 0.587929 1.77918i
\(295\) −3.71024 −0.216018
\(296\) −6.81950 2.67646i −0.396375 0.155566i
\(297\) 4.65697 13.0536i 0.270225 0.757445i
\(298\) 16.0936 + 14.9327i 0.932277 + 0.865026i
\(299\) 5.97653 + 4.07473i 0.345632 + 0.235648i
\(300\) −39.5197 0.572859i −2.28167 0.0330740i
\(301\) −23.4466 16.0796i −1.35144 0.926810i
\(302\) −23.4626 48.7205i −1.35012 2.80355i
\(303\) −6.98428 + 2.04399i −0.401237 + 0.117424i
\(304\) −27.7307 40.6735i −1.59047 2.33279i
\(305\) −0.788209 5.22943i −0.0451327 0.299436i
\(306\) −51.7339 + 2.37163i −2.95743 + 0.135577i
\(307\) −1.69176 + 1.34913i −0.0965539 + 0.0769992i −0.670577 0.741840i \(-0.733953\pi\)
0.574023 + 0.818839i \(0.305382\pi\)
\(308\) −24.1772 + 25.9146i −1.37762 + 1.47662i
\(309\) 10.4601 + 2.54751i 0.595055 + 0.144923i
\(310\) 0.437038 + 5.83187i 0.0248221 + 0.331228i
\(311\) 7.07955 + 2.18375i 0.401444 + 0.123829i 0.488901 0.872339i \(-0.337398\pi\)
−0.0874570 + 0.996168i \(0.527874\pi\)
\(312\) −2.92225 + 32.6391i −0.165440 + 1.84782i
\(313\) 23.8935 13.7949i 1.35054 0.779734i 0.362215 0.932095i \(-0.382021\pi\)
0.988325 + 0.152360i \(0.0486874\pi\)
\(314\) −2.05052 8.98392i −0.115718 0.506992i
\(315\) −5.35965 0.170057i −0.301982 0.00958162i
\(316\) 11.9482 52.3484i 0.672138 2.94483i
\(317\) 7.72527 + 25.0447i 0.433894 + 1.40665i 0.863826 + 0.503789i \(0.168061\pi\)
−0.429932 + 0.902861i \(0.641463\pi\)
\(318\) 38.7207 + 36.9863i 2.17135 + 2.07409i
\(319\) −4.05064 10.3209i −0.226792 0.577858i
\(320\) 8.84192 2.72737i 0.494278 0.152465i
\(321\) −0.119032 + 0.0253590i −0.00664372 + 0.00141540i
\(322\) −4.83422 + 20.9168i −0.269401 + 1.16565i
\(323\) −27.9677 + 6.38345i −1.55616 + 0.355184i
\(324\) 34.8601 28.7725i 1.93667 1.59847i
\(325\) 9.29534 + 5.36667i 0.515613 + 0.297689i
\(326\) −4.81470 + 15.6089i −0.266661 + 0.864495i
\(327\) 6.03768 + 10.8167i 0.333884 + 0.598163i
\(328\) 0.340979 + 0.271922i 0.0188274 + 0.0150144i
\(329\) −10.4263 + 17.9456i −0.574822 + 0.989375i
\(330\) 7.39893 + 3.69619i 0.407298 + 0.203469i
\(331\) −10.3715 + 9.62339i −0.570072 + 0.528949i −0.911684 0.410892i \(-0.865217\pi\)
0.341612 + 0.939841i \(0.389027\pi\)
\(332\) 4.20336 0.633554i 0.230689 0.0347708i
\(333\) 0.284302 2.72939i 0.0155797 0.149570i
\(334\) −1.90491 + 12.6382i −0.104232 + 0.691534i
\(335\) 6.44094 3.10179i 0.351906 0.169469i
\(336\) −49.2043 + 14.2542i −2.68431 + 0.777630i
\(337\) 18.5020 + 8.91011i 1.00787 + 0.485365i 0.863602 0.504174i \(-0.168203\pi\)
0.144268 + 0.989539i \(0.453917\pi\)
\(338\) −11.0756 + 16.2450i −0.602434 + 0.883609i
\(339\) 1.00732 3.10511i 0.0547099 0.168647i
\(340\) 1.65178 22.0415i 0.0895803 1.19537i
\(341\) −3.18318 + 8.11062i −0.172379 + 0.439214i
\(342\) 22.6116 26.7266i 1.22270 1.44521i
\(343\) −16.6198 8.17200i −0.897386 0.441246i
\(344\) 86.0617i 4.64014i
\(345\) 3.57653 0.215945i 0.192554 0.0116261i
\(346\) 1.27780 + 0.0957582i 0.0686952 + 0.00514799i
\(347\) −2.44806 + 2.63838i −0.131419 + 0.141636i −0.795332 0.606174i \(-0.792704\pi\)
0.663914 + 0.747809i \(0.268894\pi\)
\(348\) 5.90699 35.6739i 0.316648 1.91232i
\(349\) 9.08513 18.8655i 0.486316 1.00985i −0.503031 0.864268i \(-0.667782\pi\)
0.989347 0.145577i \(-0.0465038\pi\)
\(350\) −4.83379 + 31.4867i −0.258377 + 1.68304i
\(351\) −12.0746 + 2.20864i −0.644494 + 0.117888i
\(352\) 35.8835 + 5.40856i 1.91259 + 0.288277i
\(353\) 23.5554 16.0598i 1.25373 0.854778i 0.259893 0.965637i \(-0.416313\pi\)
0.993836 + 0.110859i \(0.0353603\pi\)
\(354\) −13.8961 21.0304i −0.738569 1.11775i
\(355\) 2.16849 + 2.33708i 0.115092 + 0.124039i
\(356\) −30.0315 37.6583i −1.59166 1.99588i
\(357\) −2.74326 + 29.7262i −0.145189 + 1.57328i
\(358\) −20.0593 + 25.1536i −1.06017 + 1.32941i
\(359\) −6.34851 + 0.475755i −0.335061 + 0.0251094i −0.241199 0.970476i \(-0.577541\pi\)
−0.0938627 + 0.995585i \(0.529921\pi\)
\(360\) 8.75139 + 13.6711i 0.461239 + 0.720533i
\(361\) 0.196097 0.339650i 0.0103209 0.0178763i
\(362\) −19.6244 33.9905i −1.03144 1.78650i
\(363\) −4.11964 5.32232i −0.216225 0.279349i
\(364\) 30.5835 + 7.06836i 1.60301 + 0.370483i
\(365\) 2.10515 + 0.480486i 0.110188 + 0.0251498i
\(366\) 26.6894 24.0537i 1.39508 1.25731i
\(367\) −34.7720 + 13.6470i −1.81508 + 0.712368i −0.826259 + 0.563291i \(0.809535\pi\)
−0.988826 + 0.149077i \(0.952370\pi\)
\(368\) 31.8632 12.5054i 1.66099 0.651889i
\(369\) −0.0640672 + 0.150280i −0.00333520 + 0.00782324i
\(370\) 1.59656 + 0.364404i 0.0830010 + 0.0189444i
\(371\) 24.1846 19.1789i 1.25560 0.995716i
\(372\) −22.4709 + 17.3932i −1.16506 + 0.901794i
\(373\) −0.673683 1.16685i −0.0348820 0.0604174i 0.848057 0.529904i \(-0.177772\pi\)
−0.882939 + 0.469487i \(0.844439\pi\)
\(374\) 23.0220 39.8752i 1.19044 2.06190i
\(375\) 11.0657 1.50420i 0.571433 0.0776767i
\(376\) 62.6504 4.69499i 3.23095 0.242126i
\(377\) −6.12250 + 7.67738i −0.315325 + 0.395405i
\(378\) −19.1098 31.0165i −0.982902 1.59532i
\(379\) −8.98108 11.2619i −0.461327 0.578486i 0.495696 0.868496i \(-0.334913\pi\)
−0.957024 + 0.290010i \(0.906341\pi\)
\(380\) 10.1629 + 10.9530i 0.521347 + 0.561878i
\(381\) −4.36409 + 2.88363i −0.223579 + 0.147733i
\(382\) 27.5164 18.7604i 1.40786 0.959863i
\(383\) 37.6103 + 5.66884i 1.92180 + 0.289664i 0.996073 0.0885335i \(-0.0282180\pi\)
0.925725 + 0.378198i \(0.123456\pi\)
\(384\) 12.1571 + 9.98666i 0.620392 + 0.509630i
\(385\) 2.69641 3.93180i 0.137422 0.200383i
\(386\) −9.41024 + 19.5406i −0.478969 + 0.994589i
\(387\) −31.0675 + 8.60521i −1.57925 + 0.437427i
\(388\) −18.2662 + 19.6862i −0.927324 + 0.999417i
\(389\) −22.7660 1.70607i −1.15428 0.0865014i −0.516198 0.856469i \(-0.672653\pi\)
−0.638083 + 0.769968i \(0.720272\pi\)
\(390\) −0.441483 7.31192i −0.0223554 0.370253i
\(391\) 19.9470i 1.00876i
\(392\) 8.05293 + 55.4810i 0.406734 + 2.80221i
\(393\) −23.3347 + 10.8236i −1.17708 + 0.545979i
\(394\) −4.00621 + 10.2076i −0.201830 + 0.514254i
\(395\) −0.539772 + 7.20276i −0.0271589 + 0.362410i
\(396\) 4.83523 + 39.8950i 0.242979 + 2.00480i
\(397\) 21.7684 31.9283i 1.09252 1.60244i 0.344468 0.938798i \(-0.388059\pi\)
0.748054 0.663638i \(-0.230988\pi\)
\(398\) 11.7523 + 5.65959i 0.589087 + 0.283689i
\(399\) −13.4691 15.0273i −0.674300 0.752304i
\(400\) 45.7615 22.0376i 2.28807 1.10188i
\(401\) 4.52207 30.0020i 0.225821 1.49823i −0.532546 0.846401i \(-0.678765\pi\)
0.758368 0.651827i \(-0.225997\pi\)
\(402\) 41.7051 + 24.8913i 2.08006 + 1.24147i
\(403\) 7.63061 1.15013i 0.380108 0.0572920i
\(404\) 15.4682 14.3524i 0.769574 0.714060i
\(405\) −4.06012 + 4.52613i −0.201749 + 0.224905i
\(406\) −27.8258 8.66636i −1.38097 0.430104i
\(407\) 1.90750 + 1.52118i 0.0945511 + 0.0754020i
\(408\) 78.9059 44.0440i 3.90643 2.18050i
\(409\) −7.50572 + 24.3330i −0.371134 + 1.20319i 0.556865 + 0.830603i \(0.312004\pi\)
−0.927999 + 0.372584i \(0.878472\pi\)
\(410\) −0.0844298 0.0487455i −0.00416969 0.00240737i
\(411\) −5.24835 + 7.46316i −0.258882 + 0.368130i
\(412\) −30.4342 + 6.94640i −1.49938 + 0.342225i
\(413\) −13.1082 + 6.26858i −0.645014 + 0.308457i
\(414\) 14.6193 + 19.4637i 0.718501 + 0.956590i
\(415\) −0.546414 + 0.168547i −0.0268224 + 0.00827362i
\(416\) −11.7421 29.9183i −0.575703 1.46687i
\(417\) 0.947624 0.992061i 0.0464053 0.0485814i
\(418\) 9.17438 + 29.7426i 0.448734 + 1.45476i
\(419\) 2.57304 11.2732i 0.125701 0.550732i −0.872381 0.488827i \(-0.837425\pi\)
0.998082 0.0619057i \(-0.0197178\pi\)
\(420\) 14.1230 6.50407i 0.689134 0.317366i
\(421\) 2.96499 + 12.9905i 0.144505 + 0.633116i 0.994356 + 0.106094i \(0.0338344\pi\)
−0.849851 + 0.527022i \(0.823308\pi\)
\(422\) 34.8719 20.1333i 1.69754 0.980073i
\(423\) 7.95919 + 22.1468i 0.386989 + 1.07681i
\(424\) −89.2837 27.5404i −4.33600 1.33748i
\(425\) −2.21189 29.5157i −0.107293 1.43172i
\(426\) −5.12531 + 21.0446i −0.248322 + 1.01962i
\(427\) −11.6200 17.1438i −0.562333 0.829648i
\(428\) 0.275903 0.220025i 0.0133363 0.0106353i
\(429\) 4.13394 10.1002i 0.199589 0.487640i
\(430\) −2.86728 19.0231i −0.138272 0.917377i
\(431\) 4.69420 + 6.88512i 0.226111 + 0.331645i 0.922484 0.386036i \(-0.126156\pi\)
−0.696372 + 0.717681i \(0.745204\pi\)
\(432\) −23.5517 + 53.0975i −1.13313 + 2.55465i
\(433\) −8.79609 18.2653i −0.422713 0.877772i −0.998201 0.0599620i \(-0.980902\pi\)
0.575488 0.817810i \(-0.304812\pi\)
\(434\) 11.3972 + 19.8656i 0.547084 + 0.953578i
\(435\) −0.0705012 + 4.86365i −0.00338028 + 0.233194i
\(436\) −29.6780 20.2341i −1.42132 0.969038i
\(437\) 9.88450 + 9.17147i 0.472840 + 0.438731i
\(438\) 5.16100 + 13.7320i 0.246602 + 0.656140i
\(439\) −26.6616 10.4639i −1.27249 0.499414i −0.369559 0.929207i \(-0.620491\pi\)
−0.902928 + 0.429793i \(0.858587\pi\)
\(440\) −14.4318 −0.688010
\(441\) −19.2229 + 8.45452i −0.915378 + 0.402596i
\(442\) −40.7800 −1.93971
\(443\) −2.47552 0.971572i −0.117616 0.0461608i 0.305803 0.952095i \(-0.401075\pi\)
−0.423419 + 0.905934i \(0.639170\pi\)
\(444\) 2.79936 + 7.44832i 0.132852 + 0.353482i
\(445\) 4.74970 + 4.40707i 0.225157 + 0.208915i
\(446\) 11.1061 + 7.57198i 0.525887 + 0.358544i
\(447\) 0.207983 14.3481i 0.00983727 0.678641i
\(448\) 26.6305 24.5745i 1.25817 1.16104i
\(449\) −6.98988 14.5146i −0.329873 0.684988i 0.668396 0.743806i \(-0.266981\pi\)
−0.998269 + 0.0588177i \(0.981267\pi\)
\(450\) 23.7906 + 27.1794i 1.12150 + 1.28125i
\(451\) −0.0818199 0.120008i −0.00385275 0.00565095i
\(452\) 1.41077 + 9.35983i 0.0663569 + 0.440249i
\(453\) −13.3884 + 32.7108i −0.629040 + 1.53689i
\(454\) −52.4142 + 41.7989i −2.45992 + 1.96172i
\(455\) −4.20983 0.327040i −0.197360 0.0153319i
\(456\) −14.4549 + 59.3520i −0.676911 + 2.77941i
\(457\) 1.22816 + 16.3886i 0.0574507 + 0.766627i 0.949316 + 0.314325i \(0.101778\pi\)
−0.891865 + 0.452302i \(0.850603\pi\)
\(458\) −58.0615 17.9096i −2.71303 0.836860i
\(459\) 23.7892 + 24.0804i 1.11038 + 1.12398i
\(460\) −8.99752 + 5.19472i −0.419511 + 0.242205i
\(461\) −5.25957 23.0437i −0.244963 1.07325i −0.936433 0.350846i \(-0.885894\pi\)
0.691470 0.722405i \(-0.256963\pi\)
\(462\) 32.3852 + 0.557857i 1.50670 + 0.0259538i
\(463\) −3.02431 + 13.2504i −0.140552 + 0.615797i 0.854756 + 0.519031i \(0.173707\pi\)
−0.995307 + 0.0967659i \(0.969150\pi\)
\(464\) 13.6967 + 44.4037i 0.635854 + 2.06139i
\(465\) 2.64029 2.76410i 0.122440 0.128182i
\(466\) −11.9518 30.4527i −0.553656 1.41069i
\(467\) −4.78769 + 1.47681i −0.221548 + 0.0683385i −0.403542 0.914961i \(-0.632221\pi\)
0.181994 + 0.983300i \(0.441745\pi\)
\(468\) 28.4589 21.3757i 1.31551 0.988092i
\(469\) 17.5152 21.8408i 0.808777 1.00851i
\(470\) −13.6919 + 3.12508i −0.631558 + 0.144149i
\(471\) −3.46466 + 4.92676i −0.159643 + 0.227013i
\(472\) 38.0909 + 21.9918i 1.75328 + 1.01225i
\(473\) 8.44813 27.3882i 0.388445 1.25931i
\(474\) −42.8484 + 23.9173i −1.96809 + 1.09856i
\(475\) 15.6432 + 12.4750i 0.717757 + 0.572392i
\(476\) −31.4041 80.6631i −1.43941 3.69719i
\(477\) 1.01445 34.9843i 0.0464483 1.60182i
\(478\) −4.78630 + 4.44104i −0.218920 + 0.203128i
\(479\) −25.9108 + 3.90542i −1.18389 + 0.178443i −0.711333 0.702855i \(-0.751908\pi\)
−0.472560 + 0.881298i \(0.656670\pi\)
\(480\) −13.6707 8.15922i −0.623978 0.372416i
\(481\) 0.322058 2.13672i 0.0146846 0.0974259i
\(482\) 42.6607 20.5443i 1.94314 0.935767i
\(483\) 12.2710 6.80561i 0.558350 0.309666i
\(484\) 17.5830 + 8.46751i 0.799225 + 0.384887i
\(485\) 2.03501 2.98482i 0.0924052 0.135534i
\(486\) −40.8616 6.06167i −1.85352 0.274963i
\(487\) 1.40664 18.7703i 0.0637409 0.850563i −0.870100 0.492875i \(-0.835946\pi\)
0.933841 0.357688i \(-0.116435\pi\)
\(488\) −22.9044 + 58.3595i −1.03683 + 2.64181i
\(489\) 9.68533 4.49245i 0.437986 0.203156i
\(490\) −3.62846 11.9953i −0.163917 0.541891i
\(491\) 38.3551i 1.73094i −0.500961 0.865470i \(-0.667020\pi\)
0.500961 0.865470i \(-0.332980\pi\)
\(492\) −0.0285493 0.472838i −0.00128710 0.0213172i
\(493\) 27.0033 + 2.02362i 1.21617 + 0.0911393i
\(494\) 18.7503 20.2080i 0.843617 0.909203i
\(495\) −1.44302 5.20976i −0.0648590 0.234161i
\(496\) 15.8440 32.9005i 0.711419 1.47728i
\(497\) 11.6099 + 4.59314i 0.520773 + 0.206030i
\(498\) −3.00187 2.46593i −0.134517 0.110501i
\(499\) −7.52940 1.13487i −0.337062 0.0508040i −0.0216695 0.999765i \(-0.506898\pi\)
−0.315393 + 0.948961i \(0.602136\pi\)
\(500\) −26.7548 + 18.2411i −1.19651 + 0.815768i
\(501\) 6.96975 4.60535i 0.311386 0.205752i
\(502\) 54.7617 + 59.0190i 2.44413 + 2.63415i
\(503\) 5.46820 + 6.85690i 0.243815 + 0.305734i 0.888649 0.458589i \(-0.151645\pi\)
−0.644834 + 0.764323i \(0.723073\pi\)
\(504\) 54.0165 + 33.5143i 2.40609 + 1.49284i
\(505\) −1.76978 + 2.21924i −0.0787542 + 0.0987547i
\(506\) −21.5820 + 1.61735i −0.959438 + 0.0718999i
\(507\) 12.7338 1.73095i 0.565529 0.0768741i
\(508\) 7.58355 13.1351i 0.336466 0.582776i
\(509\) 0.632401 + 1.09535i 0.0280307 + 0.0485505i 0.879700 0.475528i \(-0.157743\pi\)
−0.851670 + 0.524079i \(0.824410\pi\)
\(510\) −15.9740 + 12.3644i −0.707342 + 0.547504i
\(511\) 8.24927 1.85917i 0.364926 0.0822447i
\(512\) 26.2924 + 6.00106i 1.16197 + 0.265212i
\(513\) −22.8709 + 0.716464i −1.00977 + 0.0316327i
\(514\) 36.5216 14.3337i 1.61090 0.632232i
\(515\) 3.90898 1.53416i 0.172250 0.0676033i
\(516\) 69.4367 62.5796i 3.05678 2.75492i
\(517\) −20.3986 4.65586i −0.897131 0.204764i
\(518\) 6.25630 1.41000i 0.274886 0.0619520i
\(519\) −0.512648 0.662310i −0.0225027 0.0290722i
\(520\) 6.39095 + 11.0695i 0.280262 + 0.485428i
\(521\) −6.19777 + 10.7348i −0.271529 + 0.470302i −0.969254 0.246064i \(-0.920863\pi\)
0.697724 + 0.716366i \(0.254196\pi\)
\(522\) −27.8322 + 17.8164i −1.21818 + 0.779803i
\(523\) −11.8805 + 0.890317i −0.519496 + 0.0389309i −0.331899 0.943315i \(-0.607689\pi\)
−0.187598 + 0.982246i \(0.560070\pi\)
\(524\) 46.5036 58.3137i 2.03152 2.54745i
\(525\) 17.4028 11.4310i 0.759521 0.498890i
\(526\) 0.120988 + 0.151714i 0.00527534 + 0.00661507i
\(527\) −14.4741 15.5993i −0.630500 0.679517i
\(528\) −28.4703 43.0871i −1.23901 1.87512i
\(529\) 11.2568 7.67473i 0.489424 0.333684i
\(530\) 20.6529 + 3.11292i 0.897104 + 0.135217i
\(531\) −4.13017 + 15.9494i −0.179234 + 0.692145i
\(532\) 54.4110 + 21.5263i 2.35902 + 0.933285i
\(533\) −0.0558151 + 0.115901i −0.00241762 + 0.00502024i
\(534\) −7.19098 + 43.4283i −0.311184 + 1.87932i
\(535\) −0.0322883 + 0.0347986i −0.00139595 + 0.00150447i
\(536\) −84.5108 6.33321i −3.65031 0.273553i
\(537\) 20.9903 1.26736i 0.905797 0.0546907i
\(538\) 6.24360i 0.269181i
\(539\) 2.88347 18.4467i 0.124200 0.794556i
\(540\) 4.66666 17.0018i 0.200821 0.731641i
\(541\) −5.31788 + 13.5497i −0.228633 + 0.582548i −0.998446 0.0557211i \(-0.982254\pi\)
0.769813 + 0.638270i \(0.220349\pi\)
\(542\) −4.00119 + 53.3921i −0.171866 + 2.29339i
\(543\) −7.91604 + 24.4017i −0.339710 + 1.04718i
\(544\) −49.9270 + 73.2295i −2.14060 + 3.13969i
\(545\) 4.35334 + 2.09646i 0.186477 + 0.0898024i
\(546\) −13.9135 25.0871i −0.595443 1.07363i
\(547\) −12.3973 + 5.97023i −0.530071 + 0.255269i −0.679722 0.733470i \(-0.737899\pi\)
0.149651 + 0.988739i \(0.452185\pi\)
\(548\) 3.94299 26.1600i 0.168436 1.11750i
\(549\) −23.3574 2.43298i −0.996871 0.103837i
\(550\) −31.7557 + 4.78640i −1.35407 + 0.204093i
\(551\) −13.4187 + 12.4507i −0.571656 + 0.530420i
\(552\) −37.9982 18.9823i −1.61731 0.807939i
\(553\) 10.2623 + 26.3593i 0.436398 + 1.12091i
\(554\) 32.6698 + 26.0533i 1.38801 + 1.10690i
\(555\) −0.521693 0.934626i −0.0221446 0.0396727i
\(556\) −1.17255 + 3.80132i −0.0497272 + 0.161212i
\(557\) −5.16489 2.98195i −0.218844 0.126349i 0.386571 0.922260i \(-0.373659\pi\)
−0.605415 + 0.795910i \(0.706993\pi\)
\(558\) 25.5563 + 4.61321i 1.08188 + 0.195293i
\(559\) −24.7483 + 5.64864i −1.04674 + 0.238912i
\(560\) −12.5008 + 15.5880i −0.528255 + 0.658715i
\(561\) −29.4344 + 6.27080i −1.24272 + 0.264753i
\(562\) 69.5693 21.4593i 2.93460 0.905205i
\(563\) −7.35118 18.7305i −0.309815 0.789397i −0.997961 0.0638242i \(-0.979670\pi\)
0.688146 0.725572i \(-0.258425\pi\)
\(564\) −49.3441 47.1339i −2.07776 1.98470i
\(565\) −0.375311 1.21673i −0.0157894 0.0511881i
\(566\) −16.9886 + 74.4319i −0.714084 + 3.12861i
\(567\) −6.69730 + 22.8505i −0.281260 + 0.959632i
\(568\) −8.41005 36.8468i −0.352878 1.54606i
\(569\) 4.52126 2.61035i 0.189541 0.109432i −0.402227 0.915540i \(-0.631764\pi\)
0.591768 + 0.806109i \(0.298430\pi\)
\(570\) 1.21771 13.6008i 0.0510043 0.569674i
\(571\) −6.00208 1.85140i −0.251179 0.0774785i 0.166609 0.986023i \(-0.446718\pi\)
−0.417788 + 0.908545i \(0.637195\pi\)
\(572\) 2.36481 + 31.5562i 0.0988777 + 1.31943i
\(573\) −21.1493 5.15079i −0.883523 0.215177i
\(574\) −0.380647 0.0295706i −0.0158879 0.00123425i
\(575\) −10.8772 + 8.67428i −0.453611 + 0.361742i
\(576\) −1.88163 41.0453i −0.0784014 1.71022i
\(577\) −1.85573 12.3119i −0.0772550 0.512553i −0.993671 0.112327i \(-0.964170\pi\)
0.916416 0.400226i \(-0.131068\pi\)
\(578\) 37.9713 + 55.6936i 1.57940 + 2.31655i
\(579\) 13.6052 3.98163i 0.565413 0.165471i
\(580\) −6.11958 12.7074i −0.254102 0.527648i
\(581\) −1.64571 + 1.51866i −0.0682757 + 0.0630047i
\(582\) 24.5404 + 0.355726i 1.01723 + 0.0147453i
\(583\) 25.7101 + 17.5288i 1.06480 + 0.725970i
\(584\) −18.7643 17.4108i −0.776474 0.720463i
\(585\) −3.35695 + 3.41390i −0.138793 + 0.141147i
\(586\) −4.16852 1.63602i −0.172200 0.0675835i
\(587\) 13.1666 0.543443 0.271721 0.962376i \(-0.412407\pi\)
0.271721 + 0.962376i \(0.412407\pi\)
\(588\) 38.9078 46.8402i 1.60453 1.93166i
\(589\) 14.3851 0.592729
\(590\) −9.15232 3.59202i −0.376795 0.147881i
\(591\) 6.70912 2.52154i 0.275976 0.103722i
\(592\) −7.49575 6.95504i −0.308073 0.285850i
\(593\) 4.31744 + 2.94358i 0.177296 + 0.120878i 0.648716 0.761030i \(-0.275306\pi\)
−0.471420 + 0.881909i \(0.656259\pi\)
\(594\) 24.1254 27.6917i 0.989876 1.13620i
\(595\) 5.79449 + 10.0999i 0.237551 + 0.414056i
\(596\) 18.0532 + 37.4878i 0.739486 + 1.53556i
\(597\) −2.39466 8.18255i −0.0980071 0.334889i
\(598\) 10.7979 + 15.8376i 0.441557 + 0.647646i
\(599\) 6.00398 + 39.8338i 0.245316 + 1.62757i 0.684391 + 0.729115i \(0.260068\pi\)
−0.439075 + 0.898451i \(0.644694\pi\)
\(600\) −58.3310 23.8746i −2.38135 0.974676i
\(601\) 28.7726 22.9454i 1.17366 0.935961i 0.174841 0.984597i \(-0.444059\pi\)
0.998817 + 0.0486359i \(0.0154874\pi\)
\(602\) −42.2704 62.3643i −1.72281 2.54178i
\(603\) −6.16391 31.1409i −0.251014 1.26815i
\(604\) −7.65878 102.199i −0.311631 4.15843i
\(605\) −2.50859 0.773798i −0.101989 0.0314594i
\(606\) −19.2075 1.71970i −0.780252 0.0698579i
\(607\) 14.5107 8.37775i 0.588970 0.340042i −0.175720 0.984440i \(-0.556225\pi\)
0.764690 + 0.644398i \(0.222892\pi\)
\(608\) −13.3320 58.4111i −0.540682 2.36888i
\(609\) 7.96823 + 17.3024i 0.322889 + 0.701127i
\(610\) 3.11847 13.6629i 0.126263 0.553196i
\(611\) 5.46216 + 17.7079i 0.220975 + 0.716385i
\(612\) −92.9121 31.6367i −3.75575 1.27884i
\(613\) 8.92722 + 22.7462i 0.360567 + 0.918709i 0.989925 + 0.141594i \(0.0452227\pi\)
−0.629358 + 0.777116i \(0.716682\pi\)
\(614\) −5.47935 + 1.69015i −0.221128 + 0.0682091i
\(615\) 0.0132775 + 0.0623229i 0.000535399 + 0.00251310i
\(616\) −50.9875 + 24.3831i −2.05435 + 0.982423i
\(617\) −23.0010 + 5.24983i −0.925986 + 0.211350i −0.658820 0.752300i \(-0.728944\pi\)
−0.267166 + 0.963651i \(0.586087\pi\)
\(618\) 23.3364 + 16.4110i 0.938729 + 0.660146i
\(619\) −9.19112 5.30650i −0.369422 0.213286i 0.303784 0.952741i \(-0.401750\pi\)
−0.673206 + 0.739455i \(0.735083\pi\)
\(620\) −3.26699 + 10.5913i −0.131205 + 0.425357i
\(621\) 3.05303 15.6150i 0.122514 0.626608i
\(622\) 15.3495 + 12.2408i 0.615458 + 0.490812i
\(623\) 24.2266 + 7.54538i 0.970617 + 0.302299i
\(624\) −20.4408 + 40.9178i −0.818286 + 1.63802i
\(625\) −13.4603 + 12.4893i −0.538410 + 0.499572i
\(626\) 72.2953 10.8968i 2.88950 0.435522i
\(627\) 10.4263 17.4692i 0.416387 0.697651i
\(628\) 2.60294 17.2694i 0.103869 0.689124i
\(629\) −5.36869 + 2.58543i −0.214064 + 0.103088i
\(630\) −13.0564 5.60838i −0.520180 0.223443i
\(631\) 8.89686 + 4.28450i 0.354178 + 0.170563i 0.602509 0.798112i \(-0.294168\pi\)
−0.248331 + 0.968675i \(0.579882\pi\)
\(632\) 48.2346 70.7472i 1.91867 2.81417i
\(633\) −25.0345 8.12131i −0.995030 0.322793i
\(634\) −5.19023 + 69.2588i −0.206130 + 2.75062i
\(635\) −0.745393 + 1.89923i −0.0295800 + 0.0753686i
\(636\) 42.7023 + 92.0623i 1.69326 + 3.65051i
\(637\) −15.4258 + 5.95723i −0.611194 + 0.236034i
\(638\) 29.3809i 1.16320i
\(639\) 12.4605 6.72022i 0.492928 0.265848i
\(640\) 6.11958 + 0.458599i 0.241898 + 0.0181277i
\(641\) 8.92725 9.62129i 0.352605 0.380018i −0.531696 0.846935i \(-0.678445\pi\)
0.884301 + 0.466917i \(0.154635\pi\)
\(642\) −0.318176 0.0526846i −0.0125574 0.00207930i
\(643\) −7.75750 + 16.1086i −0.305926 + 0.635262i −0.996085 0.0883956i \(-0.971826\pi\)
0.690160 + 0.723657i \(0.257540\pi\)
\(644\) −23.0115 + 33.5545i −0.906780 + 1.32223i
\(645\) −7.98158 + 9.71627i −0.314274 + 0.382578i
\(646\) −75.1701 11.3301i −2.95753 0.445776i
\(647\) −31.4575 + 21.4474i −1.23672 + 0.843183i −0.991979 0.126404i \(-0.959656\pi\)
−0.244744 + 0.969588i \(0.578704\pi\)
\(648\) 68.5108 22.4016i 2.69136 0.880018i
\(649\) −9.96320 10.7378i −0.391090 0.421494i
\(650\) 17.7339 + 22.2376i 0.695579 + 0.872229i
\(651\) 4.65808 14.2264i 0.182564 0.557577i
\(652\) −19.3018 + 24.2037i −0.755918 + 0.947892i
\(653\) 9.97916 0.747834i 0.390515 0.0292650i 0.121974 0.992533i \(-0.461078\pi\)
0.268541 + 0.963268i \(0.413459\pi\)
\(654\) 4.42158 + 32.5276i 0.172897 + 1.27193i
\(655\) −5.01662 + 8.68905i −0.196016 + 0.339509i
\(656\) 0.304371 + 0.527186i 0.0118837 + 0.0205832i
\(657\) 4.40890 8.51464i 0.172008 0.332188i
\(658\) −43.0933 + 34.1738i −1.67995 + 1.33223i
\(659\) −26.9854 6.15925i −1.05120 0.239930i −0.338188 0.941079i \(-0.609814\pi\)
−0.713016 + 0.701148i \(0.752671\pi\)
\(660\) 10.4941 + 11.6440i 0.408481 + 0.453240i
\(661\) 32.7427 12.8506i 1.27355 0.499830i 0.370283 0.928919i \(-0.379261\pi\)
0.903262 + 0.429089i \(0.141165\pi\)
\(662\) −34.9011 + 13.6977i −1.35647 + 0.532375i
\(663\) 17.8445 + 19.7998i 0.693022 + 0.768959i
\(664\) 6.60876 + 1.50841i 0.256470 + 0.0585375i
\(665\) −7.66915 1.77247i −0.297397 0.0687335i
\(666\) 3.34374 6.45756i 0.129567 0.250225i
\(667\) −6.36413 11.0230i −0.246420 0.426812i
\(668\) −12.1115 + 20.9777i −0.468607 + 0.811651i
\(669\) −1.18338 8.70563i −0.0457523 0.336579i
\(670\) 18.8913 1.41571i 0.729835 0.0546936i
\(671\) 13.0179 16.3239i 0.502549 0.630176i
\(672\) −62.0837 5.72936i −2.39493 0.221015i
\(673\) −16.5406 20.7412i −0.637592 0.799516i 0.353107 0.935583i \(-0.385125\pi\)
−0.990700 + 0.136067i \(0.956554\pi\)
\(674\) 37.0142 + 39.8918i 1.42573 + 1.53657i
\(675\) 2.78606 23.4441i 0.107235 0.902365i
\(676\) −30.7879 + 20.9908i −1.18415 + 0.807340i
\(677\) −50.4824 7.60900i −1.94020 0.292438i −0.941226 0.337776i \(-0.890325\pi\)
−0.998972 + 0.0453384i \(0.985563\pi\)
\(678\) 5.49100 6.68440i 0.210881 0.256713i
\(679\) 2.14673 13.9836i 0.0823841 0.536640i
\(680\) 15.2934 31.7570i 0.586473 1.21782i
\(681\) 43.2298 + 7.15813i 1.65657 + 0.274300i
\(682\) −15.7044 + 16.9253i −0.601352 + 0.648104i
\(683\) 6.11430 + 0.458204i 0.233957 + 0.0175327i 0.191193 0.981553i \(-0.438764\pi\)
0.0427645 + 0.999085i \(0.486383\pi\)
\(684\) 58.3975 31.4952i 2.23288 1.20425i
\(685\) 3.55877i 0.135974i
\(686\) −33.0858 36.2488i −1.26322 1.38399i
\(687\) 16.7109 + 36.0272i 0.637561 + 1.37453i
\(688\) −43.8861 + 111.820i −1.67314 + 4.26310i
\(689\) 2.05953 27.4825i 0.0784617 1.04700i
\(690\) 9.03156 + 2.92989i 0.343826 + 0.111539i
\(691\) 11.2718 16.5327i 0.428800 0.628934i −0.549656 0.835391i \(-0.685241\pi\)
0.978456 + 0.206457i \(0.0661935\pi\)
\(692\) 2.18802 + 1.05370i 0.0831762 + 0.0400555i
\(693\) −13.9003 15.9680i −0.528027 0.606574i
\(694\) −8.59313 + 4.13823i −0.326191 + 0.157085i
\(695\) 0.0797560 0.529147i 0.00302532 0.0200717i
\(696\) 29.5522 49.5145i 1.12018 1.87684i
\(697\) 0.350779 0.0528715i 0.0132867 0.00200265i
\(698\) 40.6754 37.7412i 1.53959 1.42853i
\(699\) −9.55572 + 19.1284i −0.361430 + 0.723501i
\(700\) −30.3294 + 52.2025i −1.14634 + 1.97307i
\(701\) 28.7993 + 22.9667i 1.08773 + 0.867439i 0.991781 0.127947i \(-0.0408387\pi\)
0.0959529 + 0.995386i \(0.469410\pi\)
\(702\) −31.9236 6.24167i −1.20488 0.235577i
\(703\) 1.18731 3.84915i 0.0447801 0.145174i
\(704\) 31.6367 + 18.2655i 1.19235 + 0.688406i
\(705\) 7.50858 + 5.28029i 0.282789 + 0.198867i
\(706\) 73.6541 16.8111i 2.77201 0.632693i
\(707\) −2.50315 + 10.8307i −0.0941406 + 0.407329i
\(708\) −9.95422 46.7240i −0.374102 1.75599i
\(709\) 29.2555 9.02413i 1.09871 0.338908i 0.308181 0.951328i \(-0.400280\pi\)
0.790533 + 0.612419i \(0.209804\pi\)
\(710\) 3.08657 + 7.86445i 0.115837 + 0.295148i
\(711\) 30.3620 + 10.3383i 1.13867 + 0.387718i
\(712\) −22.6403 73.3979i −0.848480 2.75070i
\(713\) −2.22576 + 9.75167i −0.0833552 + 0.365203i
\(714\) −35.5461 + 70.6720i −1.33028 + 2.64483i
\(715\) −0.947230 4.15009i −0.0354244 0.155204i
\(716\) −52.8055 + 30.4873i −1.97343 + 1.13936i
\(717\) 4.25063 + 0.380569i 0.158743 + 0.0142126i
\(718\) −16.1209 4.97265i −0.601628 0.185578i
\(719\) 1.33051 + 17.7545i 0.0496198 + 0.662130i 0.965454 + 0.260573i \(0.0839116\pi\)
−0.915834 + 0.401556i \(0.868469\pi\)
\(720\) 4.39925 + 22.2256i 0.163950 + 0.828299i
\(721\) 11.2184 12.0246i 0.417794 0.447818i
\(722\) 0.812556 0.647992i 0.0302402 0.0241157i
\(723\) −28.6422 11.7231i −1.06522 0.435988i
\(724\) −11.0866 73.5547i −0.412030 2.73364i
\(725\) −10.6394 15.6051i −0.395136 0.579558i
\(726\) −5.00948 17.1174i −0.185919 0.635285i
\(727\) −8.14567 16.9146i −0.302106 0.627330i 0.693553 0.720406i \(-0.256044\pi\)
−0.995659 + 0.0930760i \(0.970330\pi\)
\(728\) 41.2814 + 28.3106i 1.52999 + 1.04926i
\(729\) 14.9371 + 22.4919i 0.553226 + 0.833032i
\(730\) 4.72775 + 3.22332i 0.174982 + 0.119301i
\(731\) 51.3147 + 47.6131i 1.89794 + 1.76103i
\(732\) 63.7408 23.9562i 2.35593 0.885446i
\(733\) −8.14770 3.19774i −0.300942 0.118111i 0.210065 0.977687i \(-0.432632\pi\)
−0.511008 + 0.859576i \(0.670728\pi\)
\(734\) −98.9870 −3.65368
\(735\) −4.23628 + 7.01059i −0.156258 + 0.258590i
\(736\) 41.6597 1.53560
\(737\) 26.2729 + 10.3114i 0.967775 + 0.379824i
\(738\) −0.303531 + 0.308680i −0.0111731 + 0.0113627i
\(739\) 10.9435 + 10.1541i 0.402563 + 0.373524i 0.855311 0.518114i \(-0.173366\pi\)
−0.452748 + 0.891638i \(0.649556\pi\)
\(740\) 2.56436 + 1.74835i 0.0942678 + 0.0642707i
\(741\) −18.0163 0.261156i −0.661845 0.00959380i
\(742\) 78.2259 23.8959i 2.87176 0.877245i
\(743\) 0.335896 + 0.697495i 0.0123228 + 0.0255886i 0.907039 0.421046i \(-0.138337\pi\)
−0.894717 + 0.446634i \(0.852623\pi\)
\(744\) −43.4901 + 12.7276i −1.59442 + 0.466616i
\(745\) −3.15296 4.62455i −0.115516 0.169430i
\(746\) −0.532150 3.53058i −0.0194834 0.129264i
\(747\) 0.116282 + 2.53652i 0.00425452 + 0.0928066i
\(748\) 68.2256 54.4081i 2.49458 1.98936i
\(749\) −0.0552811 + 0.177495i −0.00201993 + 0.00648554i
\(750\) 28.7530 + 7.00264i 1.04991 + 0.255700i
\(751\) 2.79664 + 37.3186i 0.102051 + 1.36177i 0.779591 + 0.626288i \(0.215427\pi\)
−0.677541 + 0.735485i \(0.736954\pi\)
\(752\) 83.7958 + 25.8476i 3.05572 + 0.942564i
\(753\) 4.69273 52.4138i 0.171013 1.91006i
\(754\) −22.5356 + 13.0109i −0.820699 + 0.473831i
\(755\) 3.06774 + 13.4406i 0.111647 + 0.489155i
\(756\) −12.2379 67.9517i −0.445087 2.47138i
\(757\) −7.21546 + 31.6130i −0.262250 + 1.14899i 0.656554 + 0.754279i \(0.272014\pi\)
−0.918804 + 0.394714i \(0.870844\pi\)
\(758\) −11.2512 36.4756i −0.408663 1.32485i
\(759\) 10.2291 + 9.77093i 0.371293 + 0.354662i
\(760\) 8.70503 + 22.1801i 0.315765 + 0.804555i
\(761\) −29.2338 + 9.01742i −1.05972 + 0.326881i −0.775153 0.631774i \(-0.782327\pi\)
−0.284570 + 0.958655i \(0.591851\pi\)
\(762\) −13.5570 + 2.88822i −0.491118 + 0.104629i
\(763\) 18.9224 + 0.0516472i 0.685036 + 0.00186975i
\(764\) 61.5347 14.0449i 2.22625 0.508126i
\(765\) 12.9931 + 2.34542i 0.469768 + 0.0847987i
\(766\) 87.2881 + 50.3958i 3.15385 + 1.82087i
\(767\) −3.82398 + 12.3970i −0.138076 + 0.447631i
\(768\) −2.80389 5.02325i −0.101177 0.181261i
\(769\) −11.9280 9.51227i −0.430135 0.343021i 0.384369 0.923180i \(-0.374419\pi\)
−0.814504 + 0.580159i \(0.802991\pi\)
\(770\) 10.4580 7.08838i 0.376879 0.255448i
\(771\) −22.9405 11.4601i −0.826182 0.412725i
\(772\) −30.1317 + 27.9582i −1.08446 + 1.00624i
\(773\) 4.64904 0.700730i 0.167214 0.0252035i −0.0649013 0.997892i \(-0.520673\pi\)
0.232116 + 0.972688i \(0.425435\pi\)
\(774\) −84.9676 8.85049i −3.05410 0.318124i
\(775\) −2.21211 + 14.6764i −0.0794615 + 0.527192i
\(776\) −38.5843 + 18.5812i −1.38510 + 0.667027i
\(777\) −3.42222 2.42061i −0.122771 0.0868389i
\(778\) −54.5069 26.2491i −1.95417 0.941077i
\(779\) −0.135086 + 0.198135i −0.00483995 + 0.00709891i
\(780\) 4.28394 13.2055i 0.153390 0.472833i
\(781\) −0.940616 + 12.5516i −0.0336579 + 0.449133i
\(782\) 19.3114 49.2048i 0.690576 1.75956i
\(783\) 20.8292 + 5.71719i 0.744373 + 0.204316i
\(784\) −17.8287 + 76.1930i −0.636739 + 2.72118i
\(785\) 2.34930i 0.0838502i
\(786\) −68.0403 + 4.10817i −2.42692 + 0.146534i
\(787\) −23.0568 1.72787i −0.821888 0.0615920i −0.342854 0.939389i \(-0.611394\pi\)
−0.479034 + 0.877797i \(0.659013\pi\)
\(788\) −14.1357 + 15.2346i −0.503562 + 0.542710i
\(789\) 0.0207194 0.125130i 0.000737631 0.00445475i
\(790\) −8.30477 + 17.2450i −0.295470 + 0.613550i
\(791\) −3.38168 3.66459i −0.120239 0.130298i
\(792\) −16.0652 + 62.0389i −0.570854 + 2.20445i
\(793\) −18.2855 2.75609i −0.649336 0.0978717i
\(794\) 84.6087 57.6852i 3.00265 2.04717i
\(795\) −7.52587 11.3897i −0.266915 0.403950i
\(796\) 16.8148 + 18.1221i 0.595986 + 0.642320i
\(797\) −15.7563 19.7578i −0.558118 0.699858i 0.420091 0.907482i \(-0.361998\pi\)
−0.978209 + 0.207624i \(0.933427\pi\)
\(798\) −18.6769 50.1089i −0.661154 1.77384i
\(799\) 31.8615 39.9531i 1.12718 1.41344i
\(800\) 61.6440 4.61958i 2.17945 0.163327i
\(801\) 24.2322 15.5119i 0.856203 0.548086i
\(802\) 40.2010 69.6302i 1.41955 2.45873i
\(803\) 4.26244 + 7.38275i 0.150418 + 0.260532i
\(804\) 56.3421 + 72.7906i 1.98703 + 2.56712i
\(805\) 2.38818 4.92467i 0.0841722 0.173572i
\(806\) 19.9365 + 4.55038i 0.702233 + 0.160280i
\(807\) −3.03143 + 2.73207i −0.106711 + 0.0961734i
\(808\) 31.3235 12.2936i 1.10196 0.432486i
\(809\) 39.1039 15.3472i 1.37482 0.539577i 0.441061 0.897477i \(-0.354602\pi\)
0.933760 + 0.357900i \(0.116507\pi\)
\(810\) −14.3973 + 7.23421i −0.505870 + 0.254184i
\(811\) 32.1354 + 7.33470i 1.12843 + 0.257556i 0.745685 0.666299i \(-0.232122\pi\)
0.382743 + 0.923855i \(0.374980\pi\)
\(812\) −43.0901 34.5561i −1.51217 1.21268i
\(813\) 27.6741 21.4206i 0.970574 0.751254i
\(814\) 3.23266 + 5.59913i 0.113305 + 0.196249i
\(815\) 2.08220 3.60648i 0.0729364 0.126330i
\(816\) 124.982 16.9892i 4.37525 0.594742i
\(817\) −47.1882 + 3.53627i −1.65091 + 0.123718i
\(818\) −42.0726 + 52.7574i −1.47103 + 1.84462i
\(819\) −6.09217 + 17.7330i −0.212878 + 0.619640i
\(820\) −0.115201 0.144457i −0.00402299 0.00504467i
\(821\) 16.5754 + 17.8640i 0.578484 + 0.623458i 0.952710 0.303880i \(-0.0982821\pi\)
−0.374226 + 0.927338i \(0.622092\pi\)
\(822\) −20.1719 + 13.3288i −0.703575 + 0.464896i
\(823\) −44.2340 + 30.1583i −1.54190 + 1.05125i −0.568349 + 0.822788i \(0.692418\pi\)
−0.973553 + 0.228463i \(0.926630\pi\)
\(824\) −49.2248 7.41944i −1.71483 0.258468i
\(825\) 16.2196 + 13.3238i 0.564693 + 0.463875i
\(826\) −38.4040 + 2.77259i −1.33624 + 0.0964708i
\(827\) 5.80219 12.0484i 0.201762 0.418963i −0.775397 0.631475i \(-0.782450\pi\)
0.977159 + 0.212511i \(0.0681643\pi\)
\(828\) 12.3149 + 44.4608i 0.427974 + 1.54512i
\(829\) −34.1336 + 36.7873i −1.18551 + 1.27768i −0.233240 + 0.972419i \(0.574933\pi\)
−0.952270 + 0.305257i \(0.901258\pi\)
\(830\) −1.51106 0.113238i −0.0524496 0.00393056i
\(831\) −1.64607 27.2625i −0.0571014 0.945724i
\(832\) 32.3545i 1.12169i
\(833\) 37.5361 + 25.8929i 1.30055 + 0.897137i
\(834\) 3.29803 1.52976i 0.114201 0.0529713i
\(835\) 1.19044 3.03320i 0.0411970 0.104968i
\(836\) −4.40832 + 58.8249i −0.152465 + 2.03450i
\(837\) −8.94307 14.4269i −0.309118 0.498667i
\(838\) 17.2611 25.3174i 0.596276 0.874576i
\(839\) −46.6556 22.4682i −1.61073 0.775687i −0.610860 0.791739i \(-0.709176\pi\)
−0.999871 + 0.0160518i \(0.994890\pi\)
\(840\) 24.7541 1.42682i 0.854099 0.0492299i
\(841\) −10.5600 + 5.08544i −0.364139 + 0.175360i
\(842\) −5.26260 + 34.9151i −0.181361 + 1.20325i
\(843\) −40.8611 24.3876i −1.40733 0.839953i
\(844\) 75.4620 11.3741i 2.59751 0.391512i
\(845\) 3.67446 3.40940i 0.126405 0.117287i
\(846\) −1.80759 + 62.3367i −0.0621461 + 2.14318i
\(847\) −10.1702 + 1.50453i −0.349452 + 0.0516964i
\(848\) −101.963 81.3124i −3.50141 2.79228i
\(849\) 43.5725 24.3214i 1.49540 0.834710i
\(850\) 23.1190 74.9500i 0.792975 2.57076i
\(851\) 2.42563 + 1.40044i 0.0831496 + 0.0480064i
\(852\) −23.6136 + 33.5786i −0.808988 + 1.15038i
\(853\) −7.33910 + 1.67510i −0.251286 + 0.0573544i −0.346308 0.938121i \(-0.612565\pi\)
0.0950224 + 0.995475i \(0.469708\pi\)
\(854\) −12.0665 53.5398i −0.412906 1.83209i
\(855\) −7.13639 + 5.36019i −0.244059 + 0.183315i
\(856\) 0.537749 0.165873i 0.0183799 0.00566944i
\(857\) −19.0149 48.4491i −0.649535 1.65499i −0.751123 0.660162i \(-0.770488\pi\)
0.101588 0.994827i \(-0.467608\pi\)
\(858\) 19.9759 20.9126i 0.681965 0.713944i
\(859\) 8.83034 + 28.6273i 0.301287 + 0.976750i 0.971990 + 0.235023i \(0.0755166\pi\)
−0.670702 + 0.741727i \(0.734007\pi\)
\(860\) 8.11321 35.5463i 0.276658 1.21212i
\(861\) 0.152206 + 0.197754i 0.00518717 + 0.00673943i
\(862\) 4.91378 + 21.5287i 0.167364 + 0.733270i
\(863\) −18.9090 + 10.9171i −0.643671 + 0.371623i −0.786027 0.618192i \(-0.787865\pi\)
0.142357 + 0.989815i \(0.454532\pi\)
\(864\) −50.2924 + 49.6842i −1.71098 + 1.69029i
\(865\) −0.312169 0.0962914i −0.0106141 0.00327401i
\(866\) −4.01468 53.5721i −0.136424 1.82046i
\(867\) 10.4253 42.8064i 0.354061 1.45378i
\(868\) 6.35216 + 42.9387i 0.215606 + 1.45744i
\(869\) −22.2949 + 17.7796i −0.756304 + 0.603132i
\(870\) −4.88260 + 11.9293i −0.165536 + 0.404441i
\(871\) −3.72564 24.7180i −0.126239 0.837538i
\(872\) −32.2669 47.3268i −1.09269 1.60269i
\(873\) −10.5656 12.0707i −0.357593 0.408530i
\(874\) 15.5036 + 32.1935i 0.524417 + 1.08896i
\(875\) 6.27555 15.8624i 0.212152 0.536247i
\(876\) −0.402972 + 27.7997i −0.0136152 + 0.939266i
\(877\) −44.3956 30.2684i −1.49913 1.02209i −0.986551 0.163453i \(-0.947737\pi\)
−0.512582 0.858638i \(-0.671311\pi\)
\(878\) −55.6376 51.6242i −1.87768 1.74223i
\(879\) 1.02973 + 2.73982i 0.0347318 + 0.0924117i
\(880\) −18.7513 7.35933i −0.632105 0.248083i
\(881\) −38.0326 −1.28135 −0.640675 0.767812i \(-0.721345\pi\)
−0.640675 + 0.767812i \(0.721345\pi\)
\(882\) −55.6038 + 2.24494i −1.87228 + 0.0755911i
\(883\) 34.2540 1.15274 0.576369 0.817189i \(-0.304469\pi\)
0.576369 + 0.817189i \(0.304469\pi\)
\(884\) −71.9448 28.2363i −2.41977 0.949688i
\(885\) 2.26085 + 6.01549i 0.0759975 + 0.202208i
\(886\) −5.16595 4.79330i −0.173553 0.161034i
\(887\) 29.9392 + 20.4122i 1.00526 + 0.685374i 0.949726 0.313082i \(-0.101362\pi\)
0.0555337 + 0.998457i \(0.482314\pi\)
\(888\) −0.183912 + 12.6875i −0.00617169 + 0.425765i
\(889\) 0.575350 + 7.96933i 0.0192966 + 0.267283i
\(890\) 7.44978 + 15.4696i 0.249717 + 0.518543i
\(891\) −24.0018 + 0.403790i −0.804091 + 0.0135275i
\(892\) 14.3506 + 21.0485i 0.480495 + 0.704757i
\(893\) 5.14860 + 34.1587i 0.172291 + 1.14308i
\(894\) 14.4040 35.1922i 0.481741 1.17700i
\(895\) 6.41277 5.11401i 0.214355 0.170943i
\(896\) 22.3953 8.71902i 0.748173 0.291282i
\(897\) 2.96463 12.1728i 0.0989861 0.406439i
\(898\) −3.19030 42.5715i −0.106462 1.42063i
\(899\) −12.9756 4.00243i −0.432760 0.133489i
\(900\) 23.1527 + 64.4233i 0.771756 + 2.14744i
\(901\) −65.8167 + 37.9993i −2.19267 + 1.26594i
\(902\) −0.0856473 0.375245i −0.00285174 0.0124943i
\(903\) −11.7829 + 47.8127i −0.392109 + 1.59111i
\(904\) −3.35884 + 14.7160i −0.111713 + 0.489448i
\(905\) 2.94940 + 9.56172i 0.0980414 + 0.317842i
\(906\) −64.6947 + 67.7284i −2.14934 + 2.25013i
\(907\) 7.96074 + 20.2836i 0.264332 + 0.673507i 0.999993 0.00384335i \(-0.00122338\pi\)
−0.735661 + 0.677350i \(0.763128\pi\)
\(908\) −121.412 + 37.4506i −4.02919 + 1.24284i
\(909\) 7.56986 + 10.0783i 0.251076 + 0.334275i
\(910\) −10.0681 4.88243i −0.333754 0.161851i
\(911\) 18.6741 4.26223i 0.618699 0.141214i 0.0983278 0.995154i \(-0.468651\pi\)
0.520371 + 0.853940i \(0.325793\pi\)
\(912\) −49.0471 + 69.7450i −1.62411 + 2.30949i
\(913\) −1.95509 1.12877i −0.0647041 0.0373569i
\(914\) −12.8369 + 41.6161i −0.424605 + 1.37654i
\(915\) −7.99829 + 4.46451i −0.264415 + 0.147592i
\(916\) −90.0325 71.7985i −2.97476 2.37229i
\(917\) −3.04324 + 39.1741i −0.100497 + 1.29364i
\(918\) 35.3694 + 82.4322i 1.16737 + 2.72067i
\(919\) 15.6900 14.5581i 0.517564 0.480229i −0.377598 0.925969i \(-0.623250\pi\)
0.895162 + 0.445740i \(0.147060\pi\)
\(920\) −16.3828 + 2.46930i −0.540123 + 0.0814105i
\(921\) 3.21826 + 1.92079i 0.106045 + 0.0632922i
\(922\) 9.33529 61.9356i 0.307441 2.03974i
\(923\) 10.0439 4.83687i 0.330598 0.159208i
\(924\) 56.7484 + 23.4079i 1.86689 + 0.770063i
\(925\) 3.74451 + 1.80326i 0.123119 + 0.0592909i
\(926\) −20.2885 + 29.7577i −0.666721 + 0.977900i
\(927\) −2.24358 18.5116i −0.0736888 0.607999i
\(928\) −4.22637 + 56.3970i −0.138737 + 1.85132i
\(929\) −3.04816 + 7.76659i −0.100007 + 0.254814i −0.972117 0.234496i \(-0.924656\pi\)
0.872110 + 0.489310i \(0.162751\pi\)
\(930\) 9.18904 4.26225i 0.301320 0.139765i
\(931\) −30.0897 + 6.69519i −0.986151 + 0.219426i
\(932\) 62.0006i 2.03090i
\(933\) −0.773383 12.8089i −0.0253194 0.419345i
\(934\) −13.2399 0.992195i −0.433224 0.0324656i
\(935\) −7.98431 + 8.60504i −0.261115 + 0.281415i
\(936\) 54.6991 15.1508i 1.78790 0.495220i
\(937\) −4.37608 + 9.08701i −0.142960 + 0.296860i −0.960138 0.279525i \(-0.909823\pi\)
0.817178 + 0.576385i \(0.195537\pi\)
\(938\) 64.3510 36.9193i 2.10113 1.20546i
\(939\) −36.9256 30.3331i −1.20502 0.989882i
\(940\) −26.3193 3.96699i −0.858439 0.129389i
\(941\) −1.97429 + 1.34605i −0.0643600 + 0.0438799i −0.595073 0.803672i \(-0.702877\pi\)
0.530713 + 0.847552i \(0.321924\pi\)
\(942\) −13.3163 + 8.79894i −0.433870 + 0.286685i
\(943\) −0.113414 0.122231i −0.00369327 0.00398040i
\(944\) 38.2771 + 47.9979i 1.24581 + 1.56220i
\(945\) 2.99021 + 8.79335i 0.0972714 + 0.286048i
\(946\) 47.3552 59.3815i 1.53965 1.93066i
\(947\) 27.9591 2.09524i 0.908549 0.0680863i 0.387749 0.921765i \(-0.373253\pi\)
0.520800 + 0.853679i \(0.325634\pi\)
\(948\) −92.1544 + 12.5268i −2.99303 + 0.406853i
\(949\) 3.77513 6.53872i 0.122546 0.212256i
\(950\) 26.5106 + 45.9178i 0.860119 + 1.48977i
\(951\) 35.8981 27.7862i 1.16408 0.901030i
\(952\) 0.376759 138.036i 0.0122108 4.47377i
\(953\) 1.84146 + 0.420301i 0.0596508 + 0.0136149i 0.252242 0.967664i \(-0.418832\pi\)
−0.192591 + 0.981279i \(0.561689\pi\)
\(954\) 36.3721 85.3164i 1.17759 2.76222i
\(955\) −7.90355 + 3.10192i −0.255753 + 0.100376i
\(956\) −11.5191 + 4.52090i −0.372554 + 0.146216i
\(957\) −14.2652 + 12.8565i −0.461128 + 0.415590i
\(958\) −67.6971 15.4514i −2.18719 0.499213i
\(959\) 6.01268 + 12.5731i 0.194159 + 0.406007i
\(960\) −9.80980 12.6737i −0.316610 0.409041i
\(961\) −10.1646 17.6055i −0.327889 0.567920i
\(962\) 2.86308 4.95901i 0.0923095 0.159885i
\(963\) 0.113648 + 0.177537i 0.00366224 + 0.00572104i
\(964\) 89.4877 6.70618i 2.88221 0.215991i
\(965\) 3.44749 4.32301i 0.110979 0.139163i
\(966\) 36.8586 4.90788i 1.18591 0.157909i
\(967\) −10.8735 13.6350i −0.349670 0.438472i 0.575629 0.817711i \(-0.304757\pi\)
−0.925299 + 0.379239i \(0.876186\pi\)
\(968\) 21.1677 + 22.8134i 0.680356 + 0.733250i
\(969\) 27.3919 + 41.4549i 0.879953 + 1.33172i
\(970\) 7.90964 5.39270i 0.253963 0.173149i
\(971\) 38.7866 + 5.84613i 1.24472 + 0.187611i 0.738179 0.674605i \(-0.235686\pi\)
0.506541 + 0.862216i \(0.330924\pi\)
\(972\) −67.8917 38.9869i −2.17763 1.25051i
\(973\) −0.612235 2.00422i −0.0196274 0.0642524i
\(974\) 21.6421 44.9403i 0.693457 1.43998i
\(975\) 3.03695 18.3410i 0.0972603 0.587381i
\(976\) −59.5195 + 64.1467i −1.90517 + 2.05329i
\(977\) −6.92297 0.518805i −0.221485 0.0165980i −0.0364749 0.999335i \(-0.511613\pi\)
−0.185011 + 0.982737i \(0.559232\pi\)
\(978\) 28.2409 1.70514i 0.903043 0.0545244i
\(979\) 25.5805i 0.817557i
\(980\) 1.90419 23.6746i 0.0608270 0.756259i
\(981\) 13.8582 16.3802i 0.442459 0.522979i
\(982\) 37.1330 94.6134i 1.18496 3.01923i
\(983\) −1.23786 + 16.5182i −0.0394818 + 0.526847i 0.942040 + 0.335499i \(0.108905\pi\)
−0.981522 + 0.191348i \(0.938714\pi\)
\(984\) 0.233096 0.718534i 0.00743083 0.0229060i
\(985\) 1.57484 2.30986i 0.0501785 0.0735983i
\(986\) 64.6521 + 31.1348i 2.05894 + 0.991534i
\(987\) 35.4490 + 5.96921i 1.12835 + 0.190002i
\(988\) 47.0718 22.6686i 1.49755 0.721184i
\(989\) 4.90402 32.5360i 0.155939 1.03459i
\(990\) 1.48415 14.2483i 0.0471695 0.452842i
\(991\) −45.2263 + 6.81677i −1.43666 + 0.216542i −0.820756 0.571278i \(-0.806448\pi\)
−0.615905 + 0.787820i \(0.711210\pi\)
\(992\) 32.5795 30.2294i 1.03440 0.959783i
\(993\) 21.9226 + 10.9516i 0.695691 + 0.347538i
\(994\) 24.1921 + 22.5702i 0.767327 + 0.715883i
\(995\) −2.59998 2.07342i −0.0824249 0.0657317i
\(996\) −3.58853 6.42894i −0.113707 0.203709i
\(997\) 2.54337 8.24540i 0.0805493 0.261134i −0.906336 0.422558i \(-0.861132\pi\)
0.986885 + 0.161423i \(0.0516085\pi\)
\(998\) −17.4746 10.0890i −0.553150 0.319361i
\(999\) −4.59847 + 1.20222i −0.145489 + 0.0380365i
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 147.2.o.b.101.16 yes 192
3.2 odd 2 inner 147.2.o.b.101.1 192
49.33 odd 42 inner 147.2.o.b.131.1 yes 192
147.131 even 42 inner 147.2.o.b.131.16 yes 192
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
147.2.o.b.101.1 192 3.2 odd 2 inner
147.2.o.b.101.16 yes 192 1.1 even 1 trivial
147.2.o.b.131.1 yes 192 49.33 odd 42 inner
147.2.o.b.131.16 yes 192 147.131 even 42 inner