Properties

Label 287.2.r.c.9.16
Level $287$
Weight $2$
Character 287.9
Analytic conductor $2.292$
Analytic rank $0$
Dimension $96$
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] = [287,2,Mod(9,287)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(287, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([4, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("287.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 287 = 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 287.r (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: \(2.29170653801\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 9.16
Character \(\chi\) \(=\) 287.9
Dual form 287.2.r.c.32.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.07606 + 0.621266i) q^{2} +(0.164202 - 0.612812i) q^{3} +(-0.228056 - 0.395005i) q^{4} +(-3.15567 - 1.82193i) q^{5} +(0.557412 - 0.557412i) q^{6} +(-1.89756 - 1.84371i) q^{7} -3.05180i q^{8} +(2.24950 + 1.29875i) q^{9} +O(q^{10})\) \(q+(1.07606 + 0.621266i) q^{2} +(0.164202 - 0.612812i) q^{3} +(-0.228056 - 0.395005i) q^{4} +(-3.15567 - 1.82193i) q^{5} +(0.557412 - 0.557412i) q^{6} +(-1.89756 - 1.84371i) q^{7} -3.05180i q^{8} +(2.24950 + 1.29875i) q^{9} +(-2.26381 - 3.92103i) q^{10} +(-0.803442 + 2.99849i) q^{11} +(-0.279511 + 0.0748947i) q^{12} +(-3.34509 - 3.34509i) q^{13} +(-0.896461 - 3.16284i) q^{14} +(-1.63467 + 1.63467i) q^{15} +(1.43987 - 2.49393i) q^{16} +(6.88594 + 1.84508i) q^{17} +(1.61374 + 2.79508i) q^{18} +(-1.14286 - 4.26520i) q^{19} +1.66201i q^{20} +(-1.44143 + 0.860105i) q^{21} +(-2.72742 + 2.72742i) q^{22} +(2.35003 - 4.07037i) q^{23} +(-1.87018 - 0.501113i) q^{24} +(4.13886 + 7.16871i) q^{25} +(-1.52134 - 5.67773i) q^{26} +(2.51109 - 2.51109i) q^{27} +(-0.295525 + 1.17001i) q^{28} +(1.86949 + 1.86949i) q^{29} +(-2.77458 + 0.743445i) q^{30} +(3.73547 + 6.47003i) q^{31} +(-2.18709 + 1.26272i) q^{32} +(1.70558 + 0.984718i) q^{33} +(6.26343 + 6.26343i) q^{34} +(2.62897 + 9.27537i) q^{35} -1.18475i q^{36} +(0.231640 - 0.401212i) q^{37} +(1.42004 - 5.29966i) q^{38} +(-2.59918 + 1.50064i) q^{39} +(-5.56017 + 9.63049i) q^{40} +(-4.61239 - 4.44138i) q^{41} +(-2.08543 + 0.0300156i) q^{42} -0.859456i q^{43} +(1.36765 - 0.366460i) q^{44} +(-4.73246 - 8.19686i) q^{45} +(5.05757 - 2.91999i) q^{46} +(-0.866405 - 3.23347i) q^{47} +(-1.29188 - 1.29188i) q^{48} +(0.201461 + 6.99710i) q^{49} +10.2853i q^{50} +(2.26137 - 3.91682i) q^{51} +(-0.558459 + 2.08420i) q^{52} +(3.27235 - 12.2126i) q^{53} +(4.26215 - 1.14204i) q^{54} +(7.99844 - 7.99844i) q^{55} +(-5.62664 + 5.79097i) q^{56} -2.80143 q^{57} +(0.850240 + 3.17314i) q^{58} +(-3.15182 - 5.45912i) q^{59} +(1.01850 + 0.272906i) q^{60} +(2.16687 + 1.25104i) q^{61} +9.28289i q^{62} +(-1.87404 - 6.61188i) q^{63} -8.89741 q^{64} +(4.46150 + 16.6506i) q^{65} +(1.22354 + 2.11924i) q^{66} +(2.55214 + 0.683845i) q^{67} +(-0.841564 - 3.14076i) q^{68} +(-2.10849 - 2.10849i) q^{69} +(-2.93354 + 11.6142i) q^{70} +(3.00220 + 3.00220i) q^{71} +(3.96352 - 6.86503i) q^{72} +(-7.49443 + 4.32691i) q^{73} +(0.498519 - 0.287820i) q^{74} +(5.07268 - 1.35922i) q^{75} +(-1.42414 + 1.42414i) q^{76} +(7.05292 - 4.20849i) q^{77} -3.72919 q^{78} +(-9.35103 + 2.50560i) q^{79} +(-9.08751 + 5.24668i) q^{80} +(2.76975 + 4.79735i) q^{81} +(-2.20395 - 7.64474i) q^{82} +1.03583 q^{83} +(0.668473 + 0.373220i) q^{84} +(-18.3682 - 18.3682i) q^{85} +(0.533951 - 0.924831i) q^{86} +(1.45262 - 0.838669i) q^{87} +(9.15078 + 2.45195i) q^{88} +(9.05247 - 2.42560i) q^{89} -11.7605i q^{90} +(0.180127 + 12.5149i) q^{91} -2.14375 q^{92} +(4.57828 - 1.22675i) q^{93} +(1.07654 - 4.01769i) q^{94} +(-4.16441 + 15.5418i) q^{95} +(0.414682 + 1.54761i) q^{96} +(-0.101899 + 0.101899i) q^{97} +(-4.13028 + 7.65450i) q^{98} +(-5.70163 + 5.70163i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q - 4 q^{3} + 48 q^{4} - 28 q^{6} - 14 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 96 q - 4 q^{3} + 48 q^{4} - 28 q^{6} - 14 q^{7} - 28 q^{10} + 12 q^{12} - 8 q^{13} + 8 q^{14} - 20 q^{15} - 40 q^{16} - 20 q^{17} - 16 q^{18} - 8 q^{19} - 12 q^{22} + 12 q^{23} - 30 q^{24} + 40 q^{25} + 8 q^{26} - 4 q^{27} - 20 q^{28} - 72 q^{29} + 14 q^{30} + 24 q^{31} + 40 q^{34} + 20 q^{35} + 16 q^{37} - 18 q^{38} + 80 q^{40} - 88 q^{41} - 76 q^{42} + 4 q^{44} - 16 q^{45} + 14 q^{47} - 24 q^{48} - 8 q^{51} + 10 q^{52} - 4 q^{53} + 16 q^{54} - 60 q^{55} + 36 q^{56} + 128 q^{57} - 16 q^{58} - 8 q^{59} + 54 q^{60} + 30 q^{63} - 16 q^{64} + 48 q^{66} + 14 q^{67} - 30 q^{68} + 56 q^{69} - 34 q^{70} - 68 q^{71} + 112 q^{72} - 62 q^{75} - 84 q^{76} - 96 q^{78} - 26 q^{79} - 32 q^{81} + 14 q^{82} + 56 q^{83} - 92 q^{85} + 36 q^{86} + 6 q^{88} + 40 q^{89} - 160 q^{92} - 78 q^{93} + 96 q^{94} + 72 q^{95} + 24 q^{96} + 60 q^{97} - 116 q^{98} - 128 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).

\(n\) \(206\) \(211\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07606 + 0.621266i 0.760893 + 0.439302i 0.829616 0.558334i \(-0.188559\pi\)
−0.0687234 + 0.997636i \(0.521893\pi\)
\(3\) 0.164202 0.612812i 0.0948023 0.353807i −0.902187 0.431345i \(-0.858039\pi\)
0.996989 + 0.0775379i \(0.0247059\pi\)
\(4\) −0.228056 0.395005i −0.114028 0.197502i
\(5\) −3.15567 1.82193i −1.41126 0.814792i −0.415754 0.909477i \(-0.636482\pi\)
−0.995507 + 0.0946856i \(0.969815\pi\)
\(6\) 0.557412 0.557412i 0.227562 0.227562i
\(7\) −1.89756 1.84371i −0.717210 0.696857i
\(8\) 3.05180i 1.07897i
\(9\) 2.24950 + 1.29875i 0.749833 + 0.432917i
\(10\) −2.26381 3.92103i −0.715879 1.23994i
\(11\) −0.803442 + 2.99849i −0.242247 + 0.904078i 0.732500 + 0.680767i \(0.238353\pi\)
−0.974747 + 0.223311i \(0.928313\pi\)
\(12\) −0.279511 + 0.0748947i −0.0806879 + 0.0216202i
\(13\) −3.34509 3.34509i −0.927762 0.927762i 0.0697992 0.997561i \(-0.477764\pi\)
−0.997561 + 0.0697992i \(0.977764\pi\)
\(14\) −0.896461 3.16284i −0.239589 0.845305i
\(15\) −1.63467 + 1.63467i −0.422070 + 0.422070i
\(16\) 1.43987 2.49393i 0.359967 0.623481i
\(17\) 6.88594 + 1.84508i 1.67008 + 0.447498i 0.965134 0.261758i \(-0.0843022\pi\)
0.704951 + 0.709256i \(0.250969\pi\)
\(18\) 1.61374 + 2.79508i 0.380362 + 0.658806i
\(19\) −1.14286 4.26520i −0.262190 0.978505i −0.963948 0.266090i \(-0.914268\pi\)
0.701759 0.712415i \(-0.252399\pi\)
\(20\) 1.66201i 0.371637i
\(21\) −1.44143 + 0.860105i −0.314546 + 0.187690i
\(22\) −2.72742 + 2.72742i −0.581487 + 0.581487i
\(23\) 2.35003 4.07037i 0.490015 0.848730i −0.509919 0.860222i \(-0.670325\pi\)
0.999934 + 0.0114919i \(0.00365807\pi\)
\(24\) −1.87018 0.501113i −0.381749 0.102289i
\(25\) 4.13886 + 7.16871i 0.827771 + 1.43374i
\(26\) −1.52134 5.67773i −0.298360 1.11349i
\(27\) 2.51109 2.51109i 0.483260 0.483260i
\(28\) −0.295525 + 1.17001i −0.0558489 + 0.221112i
\(29\) 1.86949 + 1.86949i 0.347155 + 0.347155i 0.859049 0.511894i \(-0.171056\pi\)
−0.511894 + 0.859049i \(0.671056\pi\)
\(30\) −2.77458 + 0.743445i −0.506566 + 0.135734i
\(31\) 3.73547 + 6.47003i 0.670911 + 1.16205i 0.977646 + 0.210256i \(0.0674299\pi\)
−0.306736 + 0.951795i \(0.599237\pi\)
\(32\) −2.18709 + 1.26272i −0.386626 + 0.223219i
\(33\) 1.70558 + 0.984718i 0.296904 + 0.171417i
\(34\) 6.26343 + 6.26343i 1.07417 + 1.07417i
\(35\) 2.62897 + 9.27537i 0.444377 + 1.56782i
\(36\) 1.18475i 0.197459i
\(37\) 0.231640 0.401212i 0.0380813 0.0659588i −0.846357 0.532617i \(-0.821209\pi\)
0.884438 + 0.466658i \(0.154542\pi\)
\(38\) 1.42004 5.29966i 0.230361 0.859718i
\(39\) −2.59918 + 1.50064i −0.416203 + 0.240295i
\(40\) −5.56017 + 9.63049i −0.879139 + 1.52271i
\(41\) −4.61239 4.44138i −0.720334 0.693627i
\(42\) −2.08543 + 0.0300156i −0.321789 + 0.00463151i
\(43\) 0.859456i 0.131066i −0.997850 0.0655329i \(-0.979125\pi\)
0.997850 0.0655329i \(-0.0208747\pi\)
\(44\) 1.36765 0.366460i 0.206181 0.0552459i
\(45\) −4.73246 8.19686i −0.705474 1.22192i
\(46\) 5.05757 2.91999i 0.745697 0.430529i
\(47\) −0.866405 3.23347i −0.126378 0.471650i 0.873507 0.486812i \(-0.161840\pi\)
−0.999885 + 0.0151620i \(0.995174\pi\)
\(48\) −1.29188 1.29188i −0.186466 0.186466i
\(49\) 0.201461 + 6.99710i 0.0287801 + 0.999586i
\(50\) 10.2853i 1.45457i
\(51\) 2.26137 3.91682i 0.316656 0.548464i
\(52\) −0.558459 + 2.08420i −0.0774443 + 0.289026i
\(53\) 3.27235 12.2126i 0.449492 1.67753i −0.254302 0.967125i \(-0.581846\pi\)
0.703794 0.710404i \(-0.251488\pi\)
\(54\) 4.26215 1.14204i 0.580005 0.155412i
\(55\) 7.99844 7.99844i 1.07851 1.07851i
\(56\) −5.62664 + 5.79097i −0.751891 + 0.773851i
\(57\) −2.80143 −0.371058
\(58\) 0.850240 + 3.17314i 0.111642 + 0.416654i
\(59\) −3.15182 5.45912i −0.410332 0.710716i 0.584594 0.811326i \(-0.301254\pi\)
−0.994926 + 0.100610i \(0.967921\pi\)
\(60\) 1.01850 + 0.272906i 0.131488 + 0.0352320i
\(61\) 2.16687 + 1.25104i 0.277439 + 0.160179i 0.632263 0.774753i \(-0.282126\pi\)
−0.354824 + 0.934933i \(0.615459\pi\)
\(62\) 9.28289i 1.17893i
\(63\) −1.87404 6.61188i −0.236107 0.833019i
\(64\) −8.89741 −1.11218
\(65\) 4.46150 + 16.6506i 0.553381 + 2.06525i
\(66\) 1.22354 + 2.11924i 0.150608 + 0.260860i
\(67\) 2.55214 + 0.683845i 0.311794 + 0.0835449i 0.411323 0.911490i \(-0.365067\pi\)
−0.0995288 + 0.995035i \(0.531734\pi\)
\(68\) −0.841564 3.14076i −0.102055 0.380873i
\(69\) −2.10849 2.10849i −0.253832 0.253832i
\(70\) −2.93354 + 11.6142i −0.350625 + 1.38816i
\(71\) 3.00220 + 3.00220i 0.356296 + 0.356296i 0.862446 0.506150i \(-0.168932\pi\)
−0.506150 + 0.862446i \(0.668932\pi\)
\(72\) 3.96352 6.86503i 0.467106 0.809051i
\(73\) −7.49443 + 4.32691i −0.877156 + 0.506427i −0.869720 0.493546i \(-0.835701\pi\)
−0.00743665 + 0.999972i \(0.502367\pi\)
\(74\) 0.498519 0.287820i 0.0579516 0.0334584i
\(75\) 5.07268 1.35922i 0.585743 0.156949i
\(76\) −1.42414 + 1.42414i −0.163360 + 0.163360i
\(77\) 7.05292 4.20849i 0.803755 0.479602i
\(78\) −3.72919 −0.422247
\(79\) −9.35103 + 2.50560i −1.05207 + 0.281902i −0.743108 0.669171i \(-0.766649\pi\)
−0.308965 + 0.951073i \(0.599983\pi\)
\(80\) −9.08751 + 5.24668i −1.01601 + 0.586596i
\(81\) 2.76975 + 4.79735i 0.307750 + 0.533039i
\(82\) −2.20395 7.64474i −0.243386 0.844220i
\(83\) 1.03583 0.113697 0.0568486 0.998383i \(-0.481895\pi\)
0.0568486 + 0.998383i \(0.481895\pi\)
\(84\) 0.668473 + 0.373220i 0.0729364 + 0.0407217i
\(85\) −18.3682 18.3682i −1.99231 1.99231i
\(86\) 0.533951 0.924831i 0.0575775 0.0997271i
\(87\) 1.45262 0.838669i 0.155737 0.0899148i
\(88\) 9.15078 + 2.45195i 0.975477 + 0.261378i
\(89\) 9.05247 2.42560i 0.959560 0.257113i 0.255146 0.966903i \(-0.417877\pi\)
0.704414 + 0.709789i \(0.251210\pi\)
\(90\) 11.7605i 1.23966i
\(91\) 0.180127 + 12.5149i 0.0188825 + 1.31192i
\(92\) −2.14375 −0.223502
\(93\) 4.57828 1.22675i 0.474746 0.127208i
\(94\) 1.07654 4.01769i 0.111036 0.414393i
\(95\) −4.16441 + 15.5418i −0.427260 + 1.59456i
\(96\) 0.414682 + 1.54761i 0.0423233 + 0.157953i
\(97\) −0.101899 + 0.101899i −0.0103463 + 0.0103463i −0.712261 0.701915i \(-0.752329\pi\)
0.701915 + 0.712261i \(0.252329\pi\)
\(98\) −4.13028 + 7.65450i −0.417221 + 0.773221i
\(99\) −5.70163 + 5.70163i −0.573035 + 0.573035i
\(100\) 1.88778 3.26974i 0.188778 0.326974i
\(101\) 4.01601 + 1.07609i 0.399608 + 0.107075i 0.453025 0.891498i \(-0.350345\pi\)
−0.0534175 + 0.998572i \(0.517011\pi\)
\(102\) 4.86677 2.80983i 0.481882 0.278215i
\(103\) 1.41028 + 0.814223i 0.138959 + 0.0802278i 0.567868 0.823120i \(-0.307769\pi\)
−0.428909 + 0.903348i \(0.641102\pi\)
\(104\) −10.2086 + 10.2086i −1.00103 + 1.00103i
\(105\) 6.11574 0.0880241i 0.596835 0.00859027i
\(106\) 11.1085 11.1085i 1.07896 1.07896i
\(107\) 1.09294 1.89302i 0.105658 0.183005i −0.808349 0.588704i \(-0.799638\pi\)
0.914007 + 0.405699i \(0.132972\pi\)
\(108\) −1.56456 0.419223i −0.150550 0.0403398i
\(109\) 4.23566 + 1.13494i 0.405702 + 0.108708i 0.455898 0.890032i \(-0.349318\pi\)
−0.0501963 + 0.998739i \(0.515985\pi\)
\(110\) 13.5760 3.63768i 1.29442 0.346839i
\(111\) −0.207832 0.207832i −0.0197265 0.0197265i
\(112\) −7.33031 + 2.07767i −0.692649 + 0.196321i
\(113\) 17.6418 1.65960 0.829802 0.558058i \(-0.188453\pi\)
0.829802 + 0.558058i \(0.188453\pi\)
\(114\) −3.01452 1.74043i −0.282335 0.163006i
\(115\) −14.8318 + 8.56317i −1.38308 + 0.798520i
\(116\) 0.312108 1.16480i 0.0289785 0.108149i
\(117\) −3.18035 11.8692i −0.294023 1.09731i
\(118\) 7.83249i 0.721039i
\(119\) −9.66467 16.1968i −0.885959 1.48476i
\(120\) 4.98868 + 4.98868i 0.455402 + 0.455402i
\(121\) 1.18087 + 0.681777i 0.107352 + 0.0619798i
\(122\) 1.55446 + 2.69240i 0.140734 + 0.243759i
\(123\) −3.47910 + 2.09724i −0.313699 + 0.189102i
\(124\) 1.70379 2.95106i 0.153005 0.265013i
\(125\) 11.9435i 1.06826i
\(126\) 2.09115 8.27909i 0.186294 0.737560i
\(127\) −11.3935 −1.01101 −0.505505 0.862823i \(-0.668694\pi\)
−0.505505 + 0.862823i \(0.668694\pi\)
\(128\) −5.20001 3.00223i −0.459620 0.265362i
\(129\) −0.526685 0.141125i −0.0463720 0.0124253i
\(130\) −5.54356 + 20.6889i −0.486203 + 1.81453i
\(131\) 2.97320 + 1.71658i 0.259769 + 0.149978i 0.624229 0.781241i \(-0.285413\pi\)
−0.364460 + 0.931219i \(0.618746\pi\)
\(132\) 0.898284i 0.0781856i
\(133\) −5.69516 + 10.2006i −0.493833 + 0.884502i
\(134\) 2.32142 + 2.32142i 0.200540 + 0.200540i
\(135\) −12.4992 + 3.34915i −1.07576 + 0.288249i
\(136\) 5.63082 21.0145i 0.482839 1.80198i
\(137\) 10.3991 + 2.78642i 0.888451 + 0.238060i 0.674050 0.738686i \(-0.264553\pi\)
0.214401 + 0.976746i \(0.431220\pi\)
\(138\) −0.958938 3.57880i −0.0816302 0.304648i
\(139\) 9.54789 0.809842 0.404921 0.914352i \(-0.367299\pi\)
0.404921 + 0.914352i \(0.367299\pi\)
\(140\) 3.06426 3.15376i 0.258978 0.266541i
\(141\) −2.12377 −0.178854
\(142\) 1.36540 + 5.09573i 0.114582 + 0.427624i
\(143\) 12.7178 7.34263i 1.06352 0.614022i
\(144\) 6.47797 3.74006i 0.539831 0.311671i
\(145\) −2.49342 9.30557i −0.207067 0.772785i
\(146\) −10.7527 −0.889896
\(147\) 4.32099 + 1.02548i 0.356389 + 0.0845804i
\(148\) −0.211308 −0.0173694
\(149\) 1.01768 + 3.79803i 0.0833715 + 0.311147i 0.995001 0.0998666i \(-0.0318416\pi\)
−0.911629 + 0.411013i \(0.865175\pi\)
\(150\) 6.30297 + 1.68888i 0.514635 + 0.137896i
\(151\) 0.232699 0.868444i 0.0189368 0.0706730i −0.955811 0.293982i \(-0.905019\pi\)
0.974748 + 0.223309i \(0.0716860\pi\)
\(152\) −13.0165 + 3.48777i −1.05578 + 0.282896i
\(153\) 13.0936 + 13.0936i 1.05856 + 1.05856i
\(154\) 10.2040 0.146867i 0.822262 0.0118348i
\(155\) 27.2231i 2.18661i
\(156\) 1.18552 + 0.684460i 0.0949176 + 0.0548007i
\(157\) −4.96525 + 18.5306i −0.396270 + 1.47890i 0.423336 + 0.905973i \(0.360859\pi\)
−0.819606 + 0.572928i \(0.805808\pi\)
\(158\) −11.6190 3.11329i −0.924355 0.247680i
\(159\) −6.94669 4.01067i −0.550908 0.318067i
\(160\) 9.20232 0.727507
\(161\) −11.9639 + 3.39099i −0.942887 + 0.267248i
\(162\) 6.88301i 0.540780i
\(163\) 6.57804 11.3935i 0.515232 0.892408i −0.484612 0.874729i \(-0.661039\pi\)
0.999844 0.0176784i \(-0.00562749\pi\)
\(164\) −0.702483 + 2.83480i −0.0548547 + 0.221361i
\(165\) −3.58817 6.21490i −0.279339 0.483829i
\(166\) 1.11462 + 0.643527i 0.0865114 + 0.0499474i
\(167\) 11.2644 + 11.2644i 0.871663 + 0.871663i 0.992654 0.120991i \(-0.0386071\pi\)
−0.120991 + 0.992654i \(0.538607\pi\)
\(168\) 2.62487 + 4.39896i 0.202513 + 0.339387i
\(169\) 9.37929i 0.721484i
\(170\) −8.35382 31.1769i −0.640708 2.39116i
\(171\) 2.96857 11.0789i 0.227012 0.847222i
\(172\) −0.339489 + 0.196004i −0.0258858 + 0.0149452i
\(173\) 9.91510 + 5.72448i 0.753831 + 0.435225i 0.827076 0.562089i \(-0.190002\pi\)
−0.0732455 + 0.997314i \(0.523336\pi\)
\(174\) 2.08415 0.157999
\(175\) 5.36330 21.2339i 0.405428 1.60513i
\(176\) 6.32115 + 6.32115i 0.476475 + 0.476475i
\(177\) −3.86295 + 1.03507i −0.290357 + 0.0778009i
\(178\) 11.2480 + 3.01389i 0.843073 + 0.225901i
\(179\) −22.2790 5.96964i −1.66521 0.446192i −0.701398 0.712770i \(-0.747441\pi\)
−0.963814 + 0.266577i \(0.914107\pi\)
\(180\) −2.15853 + 3.73869i −0.160888 + 0.278666i
\(181\) 13.1787 13.1787i 0.979568 0.979568i −0.0202274 0.999795i \(-0.506439\pi\)
0.999795 + 0.0202274i \(0.00643903\pi\)
\(182\) −7.58126 + 13.5787i −0.561960 + 1.00652i
\(183\) 1.12246 1.12246i 0.0829745 0.0829745i
\(184\) −12.4219 7.17182i −0.915758 0.528713i
\(185\) −1.46196 + 0.844063i −0.107485 + 0.0620567i
\(186\) 5.68867 + 1.52427i 0.417113 + 0.111765i
\(187\) −11.0649 + 19.1650i −0.809146 + 1.40148i
\(188\) −1.07965 + 1.07965i −0.0787413 + 0.0787413i
\(189\) −9.39467 + 0.135218i −0.683361 + 0.00983565i
\(190\) −14.1368 + 14.1368i −1.02559 + 1.02559i
\(191\) −4.31187 16.0921i −0.311996 1.16438i −0.926754 0.375669i \(-0.877413\pi\)
0.614758 0.788716i \(-0.289254\pi\)
\(192\) −1.46098 + 5.45243i −0.105437 + 0.393496i
\(193\) 1.10302 4.11651i 0.0793969 0.296313i −0.914797 0.403913i \(-0.867650\pi\)
0.994194 + 0.107600i \(0.0343165\pi\)
\(194\) −0.172957 + 0.0463436i −0.0124176 + 0.00332727i
\(195\) 10.9362 0.783161
\(196\) 2.71794 1.67531i 0.194139 0.119665i
\(197\) 22.6576i 1.61428i 0.590357 + 0.807142i \(0.298987\pi\)
−0.590357 + 0.807142i \(0.701013\pi\)
\(198\) −9.67755 + 2.59309i −0.687754 + 0.184283i
\(199\) −14.7583 3.95448i −1.04619 0.280326i −0.305513 0.952188i \(-0.598828\pi\)
−0.740676 + 0.671862i \(0.765495\pi\)
\(200\) 21.8775 12.6310i 1.54697 0.893144i
\(201\) 0.838136 1.45169i 0.0591176 0.102395i
\(202\) 3.65295 + 3.65295i 0.257021 + 0.257021i
\(203\) −0.100669 6.99426i −0.00706555 0.490901i
\(204\) −2.06288 −0.144431
\(205\) 6.46332 + 22.4190i 0.451418 + 1.56581i
\(206\) 1.01170 + 1.75231i 0.0704884 + 0.122090i
\(207\) 10.5728 6.10420i 0.734859 0.424271i
\(208\) −13.1589 + 3.52592i −0.912406 + 0.244478i
\(209\) 13.7074 0.948159
\(210\) 6.63562 + 3.70478i 0.457901 + 0.255654i
\(211\) 1.54403 1.54403i 0.106296 0.106296i −0.651959 0.758254i \(-0.726053\pi\)
0.758254 + 0.651959i \(0.226053\pi\)
\(212\) −5.57031 + 1.49256i −0.382571 + 0.102510i
\(213\) 2.33275 1.34682i 0.159838 0.0922823i
\(214\) 2.35214 1.35801i 0.160789 0.0928317i
\(215\) −1.56587 + 2.71217i −0.106791 + 0.184968i
\(216\) −7.66335 7.66335i −0.521425 0.521425i
\(217\) 4.84058 19.1644i 0.328600 1.30096i
\(218\) 3.85274 + 3.85274i 0.260940 + 0.260940i
\(219\) 1.42098 + 5.30316i 0.0960208 + 0.358354i
\(220\) −4.98351 1.33533i −0.335988 0.0900278i
\(221\) −16.8621 29.2061i −1.13427 1.96461i
\(222\) −0.0945215 0.352759i −0.00634387 0.0236756i
\(223\) −28.1078 −1.88223 −0.941117 0.338081i \(-0.890222\pi\)
−0.941117 + 0.338081i \(0.890222\pi\)
\(224\) 6.47821 + 1.63628i 0.432844 + 0.109329i
\(225\) 21.5014i 1.43342i
\(226\) 18.9838 + 10.9603i 1.26278 + 0.729067i
\(227\) −14.4276 3.86587i −0.957595 0.256587i −0.254013 0.967201i \(-0.581751\pi\)
−0.703582 + 0.710614i \(0.748417\pi\)
\(228\) 0.638883 + 1.10658i 0.0423110 + 0.0732849i
\(229\) −1.62118 6.05034i −0.107131 0.399818i 0.891447 0.453124i \(-0.149691\pi\)
−0.998578 + 0.0533066i \(0.983024\pi\)
\(230\) −21.2800 −1.40316
\(231\) −1.42091 5.01316i −0.0934888 0.329842i
\(232\) 5.70530 5.70530i 0.374571 0.374571i
\(233\) 12.2549 3.28368i 0.802842 0.215121i 0.166011 0.986124i \(-0.446911\pi\)
0.636831 + 0.771003i \(0.280245\pi\)
\(234\) 3.95169 14.7479i 0.258330 0.964101i
\(235\) −3.15706 + 11.7823i −0.205944 + 0.768593i
\(236\) −1.43759 + 2.48997i −0.0935788 + 0.162083i
\(237\) 6.14185i 0.398956i
\(238\) −0.337275 23.4332i −0.0218623 1.51895i
\(239\) −7.96607 7.96607i −0.515282 0.515282i 0.400858 0.916140i \(-0.368712\pi\)
−0.916140 + 0.400858i \(0.868712\pi\)
\(240\) 1.72303 + 6.43045i 0.111221 + 0.415084i
\(241\) −19.8334 + 11.4508i −1.27758 + 0.737612i −0.976403 0.215955i \(-0.930713\pi\)
−0.301179 + 0.953568i \(0.597380\pi\)
\(242\) 0.847131 + 1.46727i 0.0544556 + 0.0943199i
\(243\) 13.6853 3.66697i 0.877913 0.235236i
\(244\) 1.14123i 0.0730598i
\(245\) 12.1125 22.4476i 0.773838 1.43413i
\(246\) −5.04668 + 0.0953229i −0.321764 + 0.00607756i
\(247\) −10.4445 + 18.0905i −0.664570 + 1.15107i
\(248\) 19.7452 11.3999i 1.25382 0.723895i
\(249\) 0.170086 0.634769i 0.0107788 0.0402269i
\(250\) 7.42011 12.8520i 0.469289 0.812832i
\(251\) 12.1104i 0.764403i 0.924079 + 0.382202i \(0.124834\pi\)
−0.924079 + 0.382202i \(0.875166\pi\)
\(252\) −2.18434 + 2.24814i −0.137600 + 0.141619i
\(253\) 10.3168 + 10.3168i 0.648614 + 0.648614i
\(254\) −12.2602 7.07841i −0.769271 0.444139i
\(255\) −14.2723 + 8.24013i −0.893768 + 0.516017i
\(256\) 5.16704 + 8.94958i 0.322940 + 0.559349i
\(257\) −18.2443 + 4.88854i −1.13805 + 0.304939i −0.778165 0.628060i \(-0.783849\pi\)
−0.359881 + 0.932998i \(0.617183\pi\)
\(258\) −0.479071 0.479071i −0.0298257 0.0298257i
\(259\) −1.17927 + 0.334246i −0.0732762 + 0.0207691i
\(260\) 5.55958 5.55958i 0.344790 0.344790i
\(261\) 1.77742 + 6.63341i 0.110019 + 0.410598i
\(262\) 2.13290 + 3.69429i 0.131771 + 0.228234i
\(263\) 14.7973 + 3.96492i 0.912440 + 0.244488i 0.684351 0.729153i \(-0.260086\pi\)
0.228089 + 0.973640i \(0.426752\pi\)
\(264\) 3.00516 5.20509i 0.184955 0.320351i
\(265\) −32.5770 + 32.5770i −2.00119 + 2.00119i
\(266\) −12.4656 + 7.43827i −0.764317 + 0.456070i
\(267\) 5.94575i 0.363874i
\(268\) −0.311910 1.16406i −0.0190529 0.0711065i
\(269\) 15.3144 + 26.5253i 0.933736 + 1.61728i 0.776873 + 0.629658i \(0.216805\pi\)
0.156863 + 0.987620i \(0.449862\pi\)
\(270\) −15.5307 4.16143i −0.945167 0.253257i
\(271\) −0.286300 + 0.495887i −0.0173915 + 0.0301230i −0.874590 0.484863i \(-0.838869\pi\)
0.857199 + 0.514986i \(0.172203\pi\)
\(272\) 14.5163 14.5163i 0.880182 0.880182i
\(273\) 7.69885 + 1.94459i 0.465956 + 0.117692i
\(274\) 9.45895 + 9.45895i 0.571436 + 0.571436i
\(275\) −24.8206 + 6.65066i −1.49674 + 0.401050i
\(276\) −0.352009 + 1.31372i −0.0211885 + 0.0790765i
\(277\) 5.03022 + 8.71260i 0.302237 + 0.523489i 0.976642 0.214872i \(-0.0689334\pi\)
−0.674406 + 0.738361i \(0.735600\pi\)
\(278\) 10.2742 + 5.93178i 0.616203 + 0.355765i
\(279\) 19.4058i 1.16179i
\(280\) 28.3066 8.02308i 1.69164 0.479471i
\(281\) 14.0603 14.0603i 0.838769 0.838769i −0.149928 0.988697i \(-0.547904\pi\)
0.988697 + 0.149928i \(0.0479041\pi\)
\(282\) −2.28532 1.31943i −0.136089 0.0785708i
\(283\) 11.4151 + 19.7715i 0.678558 + 1.17530i 0.975415 + 0.220375i \(0.0707280\pi\)
−0.296857 + 0.954922i \(0.595939\pi\)
\(284\) 0.501214 1.87056i 0.0297416 0.110997i
\(285\) 8.84039 + 5.10400i 0.523660 + 0.302335i
\(286\) 18.2469 1.07896
\(287\) 0.563662 + 16.9317i 0.0332719 + 0.999446i
\(288\) −6.55981 −0.386541
\(289\) 29.2894 + 16.9102i 1.72290 + 0.994719i
\(290\) 3.09816 11.5625i 0.181930 0.678972i
\(291\) 0.0457129 + 0.0791771i 0.00267974 + 0.00464144i
\(292\) 3.41830 + 1.97356i 0.200041 + 0.115494i
\(293\) 12.4151 12.4151i 0.725299 0.725299i −0.244380 0.969679i \(-0.578585\pi\)
0.969679 + 0.244380i \(0.0785846\pi\)
\(294\) 4.01256 + 3.78797i 0.234017 + 0.220919i
\(295\) 22.9696i 1.33734i
\(296\) −1.22442 0.706918i −0.0711679 0.0410888i
\(297\) 5.51196 + 9.54699i 0.319836 + 0.553972i
\(298\) −1.26450 + 4.71918i −0.0732505 + 0.273375i
\(299\) −21.4768 + 5.75470i −1.24204 + 0.332803i
\(300\) −1.69375 1.69375i −0.0977890 0.0977890i
\(301\) −1.58459 + 1.63087i −0.0913342 + 0.0940017i
\(302\) 0.789934 0.789934i 0.0454556 0.0454556i
\(303\) 1.31888 2.28436i 0.0757675 0.131233i
\(304\) −12.2827 3.29113i −0.704459 0.188759i
\(305\) −4.55862 7.89576i −0.261026 0.452110i
\(306\) 5.95496 + 22.2242i 0.340422 + 1.27047i
\(307\) 19.9297i 1.13745i 0.822528 + 0.568725i \(0.192563\pi\)
−0.822528 + 0.568725i \(0.807437\pi\)
\(308\) −3.27084 1.82617i −0.186373 0.104055i
\(309\) 0.730536 0.730536i 0.0415588 0.0415588i
\(310\) 16.9128 29.2938i 0.960581 1.66378i
\(311\) 9.90447 + 2.65389i 0.561631 + 0.150488i 0.528455 0.848961i \(-0.322771\pi\)
0.0331753 + 0.999450i \(0.489438\pi\)
\(312\) 4.57965 + 7.93219i 0.259272 + 0.449072i
\(313\) −3.76064 14.0349i −0.212564 0.793299i −0.987010 0.160659i \(-0.948638\pi\)
0.774446 0.632640i \(-0.218029\pi\)
\(314\) −16.8554 + 16.8554i −0.951203 + 0.951203i
\(315\) −6.13252 + 24.2793i −0.345528 + 1.36798i
\(316\) 3.12228 + 3.12228i 0.175642 + 0.175642i
\(317\) −4.58149 + 1.22761i −0.257322 + 0.0689492i −0.385174 0.922844i \(-0.625858\pi\)
0.127852 + 0.991793i \(0.459192\pi\)
\(318\) −4.98339 8.63149i −0.279455 0.484030i
\(319\) −7.10766 + 4.10361i −0.397952 + 0.229758i
\(320\) 28.0773 + 16.2104i 1.56957 + 0.906192i
\(321\) −0.980604 0.980604i −0.0547320 0.0547320i
\(322\) −14.9806 3.78384i −0.834838 0.210865i
\(323\) 31.4786i 1.75152i
\(324\) 1.26332 2.18813i 0.0701843 0.121563i
\(325\) 10.1351 37.8249i 0.562196 2.09815i
\(326\) 14.1568 8.17343i 0.784072 0.452684i
\(327\) 1.39101 2.40930i 0.0769230 0.133235i
\(328\) −13.5542 + 14.0761i −0.748406 + 0.777222i
\(329\) −4.31753 + 7.73310i −0.238033 + 0.426339i
\(330\) 8.91684i 0.490856i
\(331\) −23.6171 + 6.32819i −1.29811 + 0.347829i −0.840737 0.541444i \(-0.817878\pi\)
−0.457378 + 0.889273i \(0.651211\pi\)
\(332\) −0.236228 0.409158i −0.0129647 0.0224555i
\(333\) 1.04215 0.601684i 0.0571093 0.0329721i
\(334\) 5.12302 + 19.1194i 0.280319 + 1.04617i
\(335\) −6.80782 6.80782i −0.371951 0.371951i
\(336\) 0.0695653 + 4.83326i 0.00379510 + 0.263676i
\(337\) 23.4005i 1.27471i −0.770572 0.637353i \(-0.780029\pi\)
0.770572 0.637353i \(-0.219971\pi\)
\(338\) −5.82704 + 10.0927i −0.316949 + 0.548972i
\(339\) 2.89683 10.8111i 0.157334 0.587180i
\(340\) −3.06654 + 11.4445i −0.166307 + 0.620665i
\(341\) −22.4015 + 6.00247i −1.21311 + 0.325052i
\(342\) 10.0773 10.0773i 0.544918 0.544918i
\(343\) 12.5183 13.6488i 0.675927 0.736968i
\(344\) −2.62289 −0.141417
\(345\) 2.81219 + 10.4952i 0.151403 + 0.565044i
\(346\) 7.11286 + 12.3198i 0.382390 + 0.662318i
\(347\) −33.1649 8.88651i −1.78039 0.477053i −0.789732 0.613452i \(-0.789780\pi\)
−0.990654 + 0.136400i \(0.956447\pi\)
\(348\) −0.662557 0.382527i −0.0355168 0.0205056i
\(349\) 4.94515i 0.264708i 0.991203 + 0.132354i \(0.0422535\pi\)
−0.991203 + 0.132354i \(0.957746\pi\)
\(350\) 18.9632 19.5170i 1.01362 1.04323i
\(351\) −16.7997 −0.896700
\(352\) −2.02904 7.57248i −0.108148 0.403614i
\(353\) 4.76391 + 8.25134i 0.253557 + 0.439174i 0.964503 0.264073i \(-0.0850660\pi\)
−0.710945 + 0.703247i \(0.751733\pi\)
\(354\) −4.79984 1.28611i −0.255109 0.0683561i
\(355\) −4.00417 14.9438i −0.212519 0.793134i
\(356\) −3.02260 3.02260i −0.160197 0.160197i
\(357\) −11.5126 + 3.26307i −0.609310 + 0.172700i
\(358\) −20.2649 20.2649i −1.07103 1.07103i
\(359\) 14.4678 25.0590i 0.763584 1.32257i −0.177409 0.984137i \(-0.556771\pi\)
0.940992 0.338428i \(-0.109895\pi\)
\(360\) −25.0152 + 14.4425i −1.31842 + 0.761188i
\(361\) −0.431356 + 0.249044i −0.0227030 + 0.0131076i
\(362\) 22.3687 5.99367i 1.17567 0.315020i
\(363\) 0.611703 0.611703i 0.0321061 0.0321061i
\(364\) 4.90237 2.92525i 0.256954 0.153325i
\(365\) 31.5333 1.65053
\(366\) 1.90518 0.510492i 0.0995855 0.0266839i
\(367\) 15.3047 8.83619i 0.798901 0.461246i −0.0441859 0.999023i \(-0.514069\pi\)
0.843087 + 0.537778i \(0.180736\pi\)
\(368\) −6.76746 11.7216i −0.352778 0.611030i
\(369\) −4.60733 15.9812i −0.239848 0.831949i
\(370\) −2.09755 −0.109046
\(371\) −28.7260 + 17.1408i −1.49138 + 0.889908i
\(372\) −1.52868 1.52868i −0.0792582 0.0792582i
\(373\) −2.59236 + 4.49010i −0.134227 + 0.232489i −0.925302 0.379231i \(-0.876189\pi\)
0.791075 + 0.611720i \(0.209522\pi\)
\(374\) −23.8131 + 13.7485i −1.23135 + 0.710918i
\(375\) −7.31913 1.96116i −0.377958 0.101274i
\(376\) −9.86790 + 2.64410i −0.508898 + 0.136359i
\(377\) 12.5072i 0.644154i
\(378\) −10.1933 5.69109i −0.524286 0.292718i
\(379\) −5.56746 −0.285981 −0.142991 0.989724i \(-0.545672\pi\)
−0.142991 + 0.989724i \(0.545672\pi\)
\(380\) 7.08881 1.89944i 0.363648 0.0974392i
\(381\) −1.87084 + 6.98208i −0.0958461 + 0.357703i
\(382\) 5.35764 19.9950i 0.274121 1.02303i
\(383\) 2.40495 + 8.97541i 0.122887 + 0.458622i 0.999756 0.0221089i \(-0.00703806\pi\)
−0.876868 + 0.480731i \(0.840371\pi\)
\(384\) −2.69365 + 2.69365i −0.137460 + 0.137460i
\(385\) −29.9243 + 0.430702i −1.52508 + 0.0219506i
\(386\) 3.74437 3.74437i 0.190583 0.190583i
\(387\) 1.11622 1.93335i 0.0567406 0.0982776i
\(388\) 0.0634894 + 0.0170119i 0.00322318 + 0.000863650i
\(389\) 4.35848 2.51637i 0.220983 0.127585i −0.385422 0.922740i \(-0.625944\pi\)
0.606406 + 0.795156i \(0.292611\pi\)
\(390\) 11.7681 + 6.79432i 0.595901 + 0.344044i
\(391\) 23.6923 23.6923i 1.19817 1.19817i
\(392\) 21.3538 0.614818i 1.07853 0.0310530i
\(393\) 1.54014 1.54014i 0.0776900 0.0776900i
\(394\) −14.0764 + 24.3810i −0.709158 + 1.22830i
\(395\) 34.0738 + 9.13006i 1.71444 + 0.459383i
\(396\) 3.55246 + 0.951879i 0.178518 + 0.0478337i
\(397\) 13.7513 3.68466i 0.690160 0.184928i 0.103341 0.994646i \(-0.467047\pi\)
0.586819 + 0.809718i \(0.300380\pi\)
\(398\) −13.4241 13.4241i −0.672890 0.672890i
\(399\) 5.31587 + 5.16502i 0.266127 + 0.258574i
\(400\) 23.8376 1.19188
\(401\) 30.3583 + 17.5274i 1.51602 + 0.875276i 0.999823 + 0.0188075i \(0.00598698\pi\)
0.516199 + 0.856468i \(0.327346\pi\)
\(402\) 1.80378 1.04141i 0.0899643 0.0519409i
\(403\) 9.14734 34.1383i 0.455662 1.70055i
\(404\) −0.490816 1.83175i −0.0244190 0.0911330i
\(405\) 20.1852i 1.00301i
\(406\) 4.23697 7.58882i 0.210277 0.376627i
\(407\) 1.01692 + 1.01692i 0.0504068 + 0.0504068i
\(408\) −11.9533 6.90126i −0.591778 0.341663i
\(409\) −0.417418 0.722990i −0.0206400 0.0357495i 0.855521 0.517768i \(-0.173237\pi\)
−0.876161 + 0.482019i \(0.839904\pi\)
\(410\) −6.97322 + 28.1397i −0.344383 + 1.38972i
\(411\) 3.41510 5.91512i 0.168454 0.291772i
\(412\) 0.742755i 0.0365929i
\(413\) −4.08426 + 16.1700i −0.200973 + 0.795676i
\(414\) 15.1693 0.745532
\(415\) −3.26875 1.88721i −0.160456 0.0926396i
\(416\) 11.5399 + 3.09211i 0.565791 + 0.151603i
\(417\) 1.56779 5.85106i 0.0767749 0.286528i
\(418\) 14.7500 + 8.51593i 0.721448 + 0.416528i
\(419\) 31.9309i 1.55993i 0.625826 + 0.779963i \(0.284762\pi\)
−0.625826 + 0.779963i \(0.715238\pi\)
\(420\) −1.42950 2.39567i −0.0697526 0.116897i
\(421\) −20.4851 20.4851i −0.998382 0.998382i 0.00161657 0.999999i \(-0.499485\pi\)
−0.999999 + 0.00161657i \(0.999485\pi\)
\(422\) 2.62073 0.702223i 0.127575 0.0341837i
\(423\) 2.25049 8.39893i 0.109422 0.408370i
\(424\) −37.2704 9.98657i −1.81001 0.484991i
\(425\) 15.2731 + 56.9998i 0.740852 + 2.76490i
\(426\) 3.34693 0.162159
\(427\) −1.80520 6.36900i −0.0873598 0.308218i
\(428\) −0.997004 −0.0481920
\(429\) −2.41135 8.99930i −0.116421 0.434490i
\(430\) −3.36995 + 1.94564i −0.162514 + 0.0938273i
\(431\) −17.5429 + 10.1284i −0.845011 + 0.487867i −0.858964 0.512035i \(-0.828892\pi\)
0.0139534 + 0.999903i \(0.495558\pi\)
\(432\) −2.64683 9.87811i −0.127346 0.475261i
\(433\) −3.19537 −0.153560 −0.0767800 0.997048i \(-0.524464\pi\)
−0.0767800 + 0.997048i \(0.524464\pi\)
\(434\) 17.1150 17.6148i 0.821545 0.845539i
\(435\) −6.11199 −0.293047
\(436\) −0.517660 1.93193i −0.0247914 0.0925229i
\(437\) −20.0467 5.37150i −0.958963 0.256953i
\(438\) −1.76561 + 6.58935i −0.0843642 + 0.314851i
\(439\) −26.7899 + 7.17833i −1.27861 + 0.342603i −0.833324 0.552785i \(-0.813565\pi\)
−0.445288 + 0.895388i \(0.646899\pi\)
\(440\) −24.4096 24.4096i −1.16368 1.16368i
\(441\) −8.63430 + 16.0016i −0.411157 + 0.761982i
\(442\) 41.9035i 1.99315i
\(443\) −29.1895 16.8526i −1.38684 0.800690i −0.393879 0.919163i \(-0.628867\pi\)
−0.992957 + 0.118472i \(0.962200\pi\)
\(444\) −0.0346972 + 0.129492i −0.00164666 + 0.00614540i
\(445\) −32.9859 8.83855i −1.56368 0.418988i
\(446\) −30.2458 17.4624i −1.43218 0.826869i
\(447\) 2.49458 0.117990
\(448\) 16.8834 + 16.4042i 0.797664 + 0.775028i
\(449\) 6.30068i 0.297348i 0.988886 + 0.148674i \(0.0475004\pi\)
−0.988886 + 0.148674i \(0.952500\pi\)
\(450\) −13.3581 + 23.1369i −0.629705 + 1.09068i
\(451\) 17.0232 10.2618i 0.801592 0.483209i
\(452\) −4.02333 6.96861i −0.189242 0.327776i
\(453\) −0.493983 0.285201i −0.0232093 0.0133999i
\(454\) −13.1233 13.1233i −0.615908 0.615908i
\(455\) 22.2328 39.8211i 1.04229 1.86684i
\(456\) 8.54939i 0.400362i
\(457\) −4.79613 17.8994i −0.224353 0.837298i −0.982663 0.185403i \(-0.940641\pi\)
0.758309 0.651895i \(-0.226026\pi\)
\(458\) 2.01437 7.51774i 0.0941255 0.351281i
\(459\) 21.9244 12.6580i 1.02334 0.590827i
\(460\) 6.76499 + 3.90577i 0.315419 + 0.182107i
\(461\) 4.45111 0.207309 0.103654 0.994613i \(-0.466946\pi\)
0.103654 + 0.994613i \(0.466946\pi\)
\(462\) 1.58552 6.27724i 0.0737650 0.292044i
\(463\) 21.8378 + 21.8378i 1.01489 + 1.01489i 0.999887 + 0.0150001i \(0.00477487\pi\)
0.0150001 + 0.999887i \(0.495225\pi\)
\(464\) 7.35418 1.97055i 0.341409 0.0914803i
\(465\) −16.6826 4.47009i −0.773638 0.207296i
\(466\) 15.2271 + 4.08008i 0.705380 + 0.189006i
\(467\) 6.81560 11.8050i 0.315388 0.546268i −0.664132 0.747616i \(-0.731199\pi\)
0.979520 + 0.201347i \(0.0645320\pi\)
\(468\) −3.96310 + 3.96310i −0.183195 + 0.183195i
\(469\) −3.58203 6.00305i −0.165403 0.277195i
\(470\) −10.7172 + 10.7172i −0.494345 + 0.494345i
\(471\) 10.5404 + 6.08553i 0.485678 + 0.280406i
\(472\) −16.6601 + 9.61873i −0.766845 + 0.442738i
\(473\) 2.57707 + 0.690524i 0.118494 + 0.0317503i
\(474\) −3.81572 + 6.60903i −0.175262 + 0.303563i
\(475\) 25.8459 25.8459i 1.18589 1.18589i
\(476\) −4.19374 + 7.51138i −0.192220 + 0.344284i
\(477\) 23.2223 23.2223i 1.06327 1.06327i
\(478\) −3.62296 13.5211i −0.165710 0.618439i
\(479\) −4.98141 + 18.5909i −0.227607 + 0.849440i 0.753737 + 0.657176i \(0.228249\pi\)
−0.981343 + 0.192263i \(0.938417\pi\)
\(480\) 1.51104 5.63929i 0.0689694 0.257397i
\(481\) −2.11695 + 0.567234i −0.0965245 + 0.0258637i
\(482\) −28.4560 −1.29614
\(483\) 0.113538 + 7.88843i 0.00516618 + 0.358936i
\(484\) 0.621934i 0.0282697i
\(485\) 0.507214 0.135907i 0.0230314 0.00617124i
\(486\) 17.0044 + 4.55633i 0.771337 + 0.206679i
\(487\) 11.4130 6.58929i 0.517172 0.298589i −0.218605 0.975813i \(-0.570151\pi\)
0.735777 + 0.677224i \(0.236817\pi\)
\(488\) 3.81793 6.61285i 0.172830 0.299350i
\(489\) −5.90194 5.90194i −0.266895 0.266895i
\(490\) 26.9798 16.6300i 1.21882 0.751268i
\(491\) −25.0261 −1.12941 −0.564707 0.825292i \(-0.691011\pi\)
−0.564707 + 0.825292i \(0.691011\pi\)
\(492\) 1.62185 + 0.895971i 0.0731186 + 0.0403935i
\(493\) 9.42381 + 16.3225i 0.424427 + 0.735130i
\(494\) −22.4780 + 12.9777i −1.01133 + 0.583893i
\(495\) 28.3805 7.60452i 1.27561 0.341798i
\(496\) 21.5144 0.966023
\(497\) −0.161663 11.2321i −0.00725159 0.503826i
\(498\) 0.577384 0.577384i 0.0258732 0.0258732i
\(499\) 34.6514 9.28482i 1.55121 0.415646i 0.621342 0.783539i \(-0.286588\pi\)
0.929868 + 0.367894i \(0.119921\pi\)
\(500\) −4.71775 + 2.72379i −0.210984 + 0.121812i
\(501\) 8.75257 5.05330i 0.391036 0.225765i
\(502\) −7.52380 + 13.0316i −0.335804 + 0.581629i
\(503\) 2.81728 + 2.81728i 0.125616 + 0.125616i 0.767120 0.641504i \(-0.221689\pi\)
−0.641504 + 0.767120i \(0.721689\pi\)
\(504\) −20.1781 + 5.71920i −0.898806 + 0.254753i
\(505\) −10.7127 10.7127i −0.476707 0.476707i
\(506\) 4.69208 + 17.5111i 0.208588 + 0.778463i
\(507\) 5.74774 + 1.54010i 0.255266 + 0.0683984i
\(508\) 2.59836 + 4.50049i 0.115284 + 0.199677i
\(509\) 3.60009 + 13.4357i 0.159571 + 0.595528i 0.998670 + 0.0515496i \(0.0164160\pi\)
−0.839099 + 0.543978i \(0.816917\pi\)
\(510\) −20.4773 −0.906749
\(511\) 22.1987 + 5.60699i 0.982012 + 0.248039i
\(512\) 24.8493i 1.09820i
\(513\) −13.5801 7.84049i −0.599577 0.346166i
\(514\) −22.6691 6.07417i −0.999891 0.267920i
\(515\) −2.96692 5.13885i −0.130738 0.226445i
\(516\) 0.0643688 + 0.240228i 0.00283368 + 0.0105754i
\(517\) 10.3916 0.457023
\(518\) −1.47663 0.372969i −0.0648792 0.0163873i
\(519\) 5.13611 5.13611i 0.225450 0.225450i
\(520\) 50.8142 13.6156i 2.22835 0.597084i
\(521\) 8.76369 32.7065i 0.383944 1.43290i −0.455880 0.890041i \(-0.650675\pi\)
0.839824 0.542859i \(-0.182658\pi\)
\(522\) −2.20850 + 8.24223i −0.0966633 + 0.360752i
\(523\) 4.78119 8.28127i 0.209067 0.362114i −0.742354 0.670008i \(-0.766291\pi\)
0.951421 + 0.307893i \(0.0996240\pi\)
\(524\) 1.56590i 0.0684068i
\(525\) −12.1317 6.77335i −0.529472 0.295613i
\(526\) 13.4596 + 13.4596i 0.586866 + 0.586866i
\(527\) 13.7845 + 51.4444i 0.600462 + 2.24096i
\(528\) 4.91162 2.83573i 0.213751 0.123409i
\(529\) 0.454738 + 0.787630i 0.0197712 + 0.0342448i
\(530\) −55.2939 + 14.8160i −2.40181 + 0.643564i
\(531\) 16.3737i 0.710559i
\(532\) 5.32809 0.0766875i 0.231002 0.00332482i
\(533\) 0.572044 + 30.2857i 0.0247780 + 1.31182i
\(534\) 3.69389 6.39801i 0.159850 0.276869i
\(535\) −6.89791 + 3.98251i −0.298223 + 0.172179i
\(536\) 2.08696 7.78863i 0.0901428 0.336418i
\(537\) −7.31654 + 12.6726i −0.315732 + 0.546864i
\(538\) 38.0573i 1.64077i
\(539\) −21.1426 5.01769i −0.910675 0.216127i
\(540\) 4.17346 + 4.17346i 0.179597 + 0.179597i
\(541\) −30.5524 17.6394i −1.31355 0.758378i −0.330867 0.943678i \(-0.607341\pi\)
−0.982682 + 0.185300i \(0.940674\pi\)
\(542\) −0.616155 + 0.355737i −0.0264661 + 0.0152802i
\(543\) −5.91211 10.2401i −0.253713 0.439443i
\(544\) −17.3900 + 4.65963i −0.745589 + 0.199780i
\(545\) −11.2986 11.2986i −0.483978 0.483978i
\(546\) 7.07636 + 6.87554i 0.302840 + 0.294246i
\(547\) 12.4476 12.4476i 0.532219 0.532219i −0.389013 0.921232i \(-0.627184\pi\)
0.921232 + 0.389013i \(0.127184\pi\)
\(548\) −1.27092 4.74314i −0.0542910 0.202617i
\(549\) 3.24958 + 5.62844i 0.138689 + 0.240216i
\(550\) −30.8404 8.26367i −1.31504 0.352364i
\(551\) 5.83719 10.1103i 0.248672 0.430713i
\(552\) −6.43469 + 6.43469i −0.273878 + 0.273878i
\(553\) 22.3637 + 12.4861i 0.951003 + 0.530962i
\(554\) 12.5004i 0.531092i
\(555\) 0.277194 + 1.03450i 0.0117662 + 0.0439122i
\(556\) −2.17746 3.77146i −0.0923447 0.159946i
\(557\) 11.1386 + 2.98457i 0.471957 + 0.126460i 0.486955 0.873427i \(-0.338108\pi\)
−0.0149981 + 0.999888i \(0.504774\pi\)
\(558\) −12.0562 + 20.8819i −0.510378 + 0.884000i
\(559\) −2.87496 + 2.87496i −0.121598 + 0.121598i
\(560\) 26.9175 + 6.79886i 1.13747 + 0.287304i
\(561\) 9.92764 + 9.92764i 0.419145 + 0.419145i
\(562\) 23.8650 6.39462i 1.00669 0.269741i
\(563\) 6.49155 24.2268i 0.273586 1.02104i −0.683197 0.730234i \(-0.739411\pi\)
0.956783 0.290803i \(-0.0939224\pi\)
\(564\) 0.484340 + 0.838901i 0.0203944 + 0.0353241i
\(565\) −55.6719 32.1422i −2.34213 1.35223i
\(566\) 28.3673i 1.19237i
\(567\) 3.58916 14.2099i 0.150730 0.596759i
\(568\) 9.16212 9.16212i 0.384434 0.384434i
\(569\) 13.6163 + 7.86139i 0.570826 + 0.329567i 0.757479 0.652859i \(-0.226431\pi\)
−0.186653 + 0.982426i \(0.559764\pi\)
\(570\) 6.34189 + 10.9845i 0.265633 + 0.460089i
\(571\) −4.86235 + 18.1465i −0.203483 + 0.759409i 0.786423 + 0.617688i \(0.211930\pi\)
−0.989907 + 0.141722i \(0.954736\pi\)
\(572\) −5.80075 3.34906i −0.242542 0.140031i
\(573\) −10.5695 −0.441545
\(574\) −9.91256 + 18.5698i −0.413742 + 0.775088i
\(575\) 38.9057 1.62248
\(576\) −20.0147 11.5555i −0.833947 0.481479i
\(577\) 4.98277 18.5960i 0.207435 0.774160i −0.781258 0.624208i \(-0.785422\pi\)
0.988693 0.149951i \(-0.0479117\pi\)
\(578\) 21.0115 + 36.3930i 0.873963 + 1.51375i
\(579\) −2.34153 1.35188i −0.0973106 0.0561823i
\(580\) −3.10710 + 3.10710i −0.129016 + 0.129016i
\(581\) −1.96555 1.90977i −0.0815448 0.0792307i
\(582\) 0.113600i 0.00470885i
\(583\) 33.9902 + 19.6242i 1.40773 + 0.812752i
\(584\) 13.2049 + 22.8715i 0.546421 + 0.946429i
\(585\) −11.5887 + 43.2498i −0.479136 + 1.78816i
\(586\) 21.0726 5.64638i 0.870500 0.233250i
\(587\) −1.86310 1.86310i −0.0768983 0.0768983i 0.667611 0.744510i \(-0.267317\pi\)
−0.744510 + 0.667611i \(0.767317\pi\)
\(588\) −0.580357 1.94068i −0.0239335 0.0800322i
\(589\) 23.3269 23.3269i 0.961167 0.961167i
\(590\) −14.2702 + 24.7168i −0.587496 + 1.01757i
\(591\) 13.8848 + 3.72043i 0.571145 + 0.153038i
\(592\) −0.667062 1.15538i −0.0274161 0.0474860i
\(593\) 3.48161 + 12.9935i 0.142972 + 0.533580i 0.999837 + 0.0180392i \(0.00574236\pi\)
−0.856865 + 0.515541i \(0.827591\pi\)
\(594\) 13.6976i 0.562018i
\(595\) 0.989094 + 68.7203i 0.0405489 + 2.81726i
\(596\) 1.26815 1.26815i 0.0519455 0.0519455i
\(597\) −4.84670 + 8.39473i −0.198362 + 0.343574i
\(598\) −26.6857 7.15040i −1.09126 0.292402i
\(599\) −8.65241 14.9864i −0.353528 0.612329i 0.633337 0.773876i \(-0.281685\pi\)
−0.986865 + 0.161548i \(0.948351\pi\)
\(600\) −4.14807 15.4808i −0.169344 0.632001i
\(601\) −22.2648 + 22.2648i −0.908198 + 0.908198i −0.996127 0.0879285i \(-0.971975\pi\)
0.0879285 + 0.996127i \(0.471975\pi\)
\(602\) −2.71833 + 0.770469i −0.110791 + 0.0314020i
\(603\) 4.85291 + 4.85291i 0.197626 + 0.197626i
\(604\) −0.396108 + 0.106137i −0.0161174 + 0.00431865i
\(605\) −2.48430 4.30294i −0.101001 0.174939i
\(606\) 2.83839 1.63875i 0.115302 0.0665696i
\(607\) 0.144221 + 0.0832658i 0.00585373 + 0.00337965i 0.502924 0.864331i \(-0.332258\pi\)
−0.497070 + 0.867710i \(0.665591\pi\)
\(608\) 7.88527 + 7.88527i 0.319790 + 0.319790i
\(609\) −4.30269 1.08678i −0.174354 0.0440387i
\(610\) 11.3285i 0.458676i
\(611\) −7.91805 + 13.7145i −0.320330 + 0.554828i
\(612\) 2.18596 8.15812i 0.0883623 0.329773i
\(613\) −12.2191 + 7.05470i −0.493525 + 0.284937i −0.726036 0.687657i \(-0.758639\pi\)
0.232511 + 0.972594i \(0.425306\pi\)
\(614\) −12.3817 + 21.4457i −0.499683 + 0.865477i
\(615\) 14.7999 0.279544i 0.596790 0.0112723i
\(616\) −12.8435 21.5241i −0.517478 0.867231i
\(617\) 37.9370i 1.52729i 0.645639 + 0.763643i \(0.276591\pi\)
−0.645639 + 0.763643i \(0.723409\pi\)
\(618\) 1.23996 0.332247i 0.0498786 0.0133649i
\(619\) 16.1865 + 28.0359i 0.650592 + 1.12686i 0.982980 + 0.183715i \(0.0588123\pi\)
−0.332388 + 0.943143i \(0.607854\pi\)
\(620\) −10.7532 + 6.20839i −0.431861 + 0.249335i
\(621\) −4.31993 16.1222i −0.173353 0.646961i
\(622\) 9.00907 + 9.00907i 0.361231 + 0.361231i
\(623\) −21.6497 12.0874i −0.867377 0.484272i
\(624\) 8.64290i 0.345993i
\(625\) −1.06598 + 1.84633i −0.0426392 + 0.0738533i
\(626\) 4.67272 17.4388i 0.186759 0.696995i
\(627\) 2.25078 8.40004i 0.0898877 0.335465i
\(628\) 8.45202 2.26471i 0.337272 0.0903719i
\(629\) 2.33533 2.33533i 0.0931155 0.0931155i
\(630\) −21.6829 + 22.3162i −0.863868 + 0.889099i
\(631\) 14.4288 0.574402 0.287201 0.957870i \(-0.407275\pi\)
0.287201 + 0.957870i \(0.407275\pi\)
\(632\) 7.64659 + 28.5375i 0.304165 + 1.13516i
\(633\) −0.692667 1.19973i −0.0275310 0.0476852i
\(634\) −5.69265 1.52534i −0.226084 0.0605790i
\(635\) 35.9542 + 20.7582i 1.42680 + 0.823763i
\(636\) 3.65864i 0.145074i
\(637\) 22.7320 24.0799i 0.900676 0.954079i
\(638\) −10.1977 −0.403732
\(639\) 2.85435 + 10.6526i 0.112916 + 0.421409i
\(640\) 10.9397 + 18.9481i 0.432429 + 0.748990i
\(641\) −28.2958 7.58185i −1.11762 0.299465i −0.347699 0.937606i \(-0.613037\pi\)
−0.769919 + 0.638141i \(0.779704\pi\)
\(642\) −0.445977 1.66441i −0.0176013 0.0656890i
\(643\) −22.5768 22.5768i −0.890341 0.890341i 0.104214 0.994555i \(-0.466767\pi\)
−0.994555 + 0.104214i \(0.966767\pi\)
\(644\) 4.06790 + 3.95246i 0.160298 + 0.155749i
\(645\) 1.40493 + 1.40493i 0.0553189 + 0.0553189i
\(646\) 19.5566 33.8730i 0.769444 1.33272i
\(647\) 39.8245 22.9927i 1.56566 0.903936i 0.568997 0.822340i \(-0.307332\pi\)
0.996666 0.0815957i \(-0.0260016\pi\)
\(648\) 14.6405 8.45272i 0.575135 0.332054i
\(649\) 18.9014 5.06461i 0.741945 0.198804i
\(650\) 34.4054 34.4054i 1.34949 1.34949i
\(651\) −10.9493 6.11320i −0.429138 0.239595i
\(652\) −6.00065 −0.235004
\(653\) 7.62806 2.04393i 0.298509 0.0799853i −0.106456 0.994317i \(-0.533950\pi\)
0.404965 + 0.914332i \(0.367284\pi\)
\(654\) 2.99363 1.72837i 0.117060 0.0675848i
\(655\) −6.25496 10.8339i −0.244402 0.423316i
\(656\) −17.7177 + 5.10795i −0.691760 + 0.199432i
\(657\) −22.4783 −0.876962
\(658\) −9.45025 + 5.63898i −0.368409 + 0.219830i
\(659\) −16.4187 16.4187i −0.639582 0.639582i 0.310870 0.950452i \(-0.399380\pi\)
−0.950452 + 0.310870i \(0.899380\pi\)
\(660\) −1.63661 + 2.83469i −0.0637050 + 0.110340i
\(661\) 20.8425 12.0334i 0.810681 0.468047i −0.0365115 0.999333i \(-0.511625\pi\)
0.847192 + 0.531287i \(0.178291\pi\)
\(662\) −29.3451 7.86298i −1.14053 0.305604i
\(663\) −20.6666 + 5.53760i −0.802625 + 0.215063i
\(664\) 3.16115i 0.122676i
\(665\) 36.5568 21.8135i 1.41761 0.845892i
\(666\) 1.49522 0.0579388
\(667\) 12.0028 3.21615i 0.464752 0.124530i
\(668\) 1.88057 7.01839i 0.0727615 0.271550i
\(669\) −4.61536 + 17.2248i −0.178440 + 0.665948i
\(670\) −3.09619 11.5551i −0.119616 0.446413i
\(671\) −5.49219 + 5.49219i −0.212023 + 0.212023i
\(672\) 2.06647 3.70124i 0.0797158 0.142779i
\(673\) −15.4202 + 15.4202i −0.594405 + 0.594405i −0.938818 0.344413i \(-0.888078\pi\)
0.344413 + 0.938818i \(0.388078\pi\)
\(674\) 14.5379 25.1804i 0.559980 0.969914i
\(675\) 28.3943 + 7.60823i 1.09290 + 0.292841i
\(676\) 3.70487 2.13901i 0.142495 0.0822695i
\(677\) 26.2301 + 15.1439i 1.00810 + 0.582029i 0.910636 0.413210i \(-0.135592\pi\)
0.0974675 + 0.995239i \(0.468926\pi\)
\(678\) 9.83377 9.83377i 0.377664 0.377664i
\(679\) 0.381232 0.00548709i 0.0146303 0.000210575i
\(680\) −56.0560 + 56.0560i −2.14965 + 2.14965i
\(681\) −4.73810 + 8.20663i −0.181564 + 0.314479i
\(682\) −27.8346 7.45827i −1.06584 0.285592i
\(683\) 42.8120 + 11.4714i 1.63816 + 0.438943i 0.956263 0.292509i \(-0.0944901\pi\)
0.681893 + 0.731452i \(0.261157\pi\)
\(684\) −5.05321 + 1.35400i −0.193214 + 0.0517716i
\(685\) −27.7394 27.7394i −1.05987 1.05987i
\(686\) 21.9501 6.90982i 0.838060 0.263818i
\(687\) −3.97392 −0.151614
\(688\) −2.14342 1.23750i −0.0817171 0.0471794i
\(689\) −51.7986 + 29.9059i −1.97337 + 1.13933i
\(690\) −3.49423 + 13.0407i −0.133023 + 0.496449i
\(691\) 1.15001 + 4.29188i 0.0437483 + 0.163271i 0.984344 0.176258i \(-0.0563992\pi\)
−0.940596 + 0.339528i \(0.889733\pi\)
\(692\) 5.22202i 0.198511i
\(693\) 21.3313 0.307023i 0.810310 0.0116628i
\(694\) −30.1667 30.1667i −1.14511 1.14511i
\(695\) −30.1300 17.3956i −1.14290 0.659852i
\(696\) −2.55945 4.43310i −0.0970157 0.168036i
\(697\) −23.5659 39.0933i −0.892623 1.48076i
\(698\) −3.07225 + 5.32130i −0.116287 + 0.201414i
\(699\) 8.04911i 0.304445i
\(700\) −9.61063 + 2.72399i −0.363248 + 0.102957i
\(701\) −0.357806 −0.0135142 −0.00675708 0.999977i \(-0.502151\pi\)
−0.00675708 + 0.999977i \(0.502151\pi\)
\(702\) −18.0775 10.4371i −0.682292 0.393922i
\(703\) −1.97598 0.529463i −0.0745256 0.0199691i
\(704\) 7.14855 26.6788i 0.269421 1.00549i
\(705\) 6.70194 + 3.86937i 0.252410 + 0.145729i
\(706\) 11.8386i 0.445553i
\(707\) −5.63662 9.44630i −0.211987 0.355264i
\(708\) 1.28983 + 1.28983i 0.0484747 + 0.0484747i
\(709\) −6.35755 + 1.70350i −0.238763 + 0.0639763i −0.376216 0.926532i \(-0.622775\pi\)
0.137453 + 0.990508i \(0.456108\pi\)
\(710\) 4.97532 18.5681i 0.186720 0.696850i
\(711\) −24.2893 6.50830i −0.910920 0.244080i
\(712\) −7.40245 27.6263i −0.277419 1.03534i
\(713\) 35.1139 1.31502
\(714\) −14.4155 3.64110i −0.539487 0.136265i
\(715\) −53.5110 −2.00120
\(716\) 2.72283 + 10.1617i 0.101757 + 0.379762i
\(717\) −6.18975 + 3.57365i −0.231160 + 0.133461i
\(718\) 31.1367 17.9768i 1.16201 0.670887i
\(719\) 6.05200 + 22.5864i 0.225702 + 0.842330i 0.982122 + 0.188244i \(0.0602797\pi\)
−0.756421 + 0.654086i \(0.773054\pi\)
\(720\) −27.2565 −1.01579
\(721\) −1.17489 4.14518i −0.0437552 0.154375i
\(722\) −0.618890 −0.0230327
\(723\) 3.76051 + 14.0344i 0.139855 + 0.521945i
\(724\) −8.21116 2.20017i −0.305165 0.0817688i
\(725\) −5.66427 + 21.1393i −0.210366 + 0.785096i
\(726\) 1.03826 0.278202i 0.0385336 0.0103250i
\(727\) −16.1360 16.1360i −0.598451 0.598451i 0.341449 0.939900i \(-0.389082\pi\)
−0.939900 + 0.341449i \(0.889082\pi\)
\(728\) 38.1930 0.549713i 1.41553 0.0203737i
\(729\) 7.62986i 0.282587i
\(730\) 33.9319 + 19.5906i 1.25588 + 0.725080i
\(731\) 1.58577 5.91816i 0.0586517 0.218891i
\(732\) −0.699360 0.187393i −0.0258491 0.00692624i
\(733\) 25.9207 + 14.9653i 0.957403 + 0.552757i 0.895373 0.445317i \(-0.146909\pi\)
0.0620303 + 0.998074i \(0.480242\pi\)
\(734\) 21.9585 0.810504
\(735\) −11.7673 11.1086i −0.434042 0.409748i
\(736\) 11.8697i 0.437522i
\(737\) −4.10100 + 7.10314i −0.151062 + 0.261648i
\(738\) 4.97081 20.0592i 0.182978 0.738390i
\(739\) 13.9686 + 24.1943i 0.513842 + 0.890000i 0.999871 + 0.0160575i \(0.00511147\pi\)
−0.486029 + 0.873942i \(0.661555\pi\)
\(740\) 0.666818 + 0.384987i 0.0245127 + 0.0141524i
\(741\) 9.37103 + 9.37103i 0.344254 + 0.344254i
\(742\) −41.5600 + 0.598175i −1.52572 + 0.0219597i
\(743\) 17.3032i 0.634793i 0.948293 + 0.317397i \(0.102809\pi\)
−0.948293 + 0.317397i \(0.897191\pi\)
\(744\) −3.74379 13.9720i −0.137254 0.512238i
\(745\) 3.70828 13.8395i 0.135861 0.507040i
\(746\) −5.57910 + 3.22109i −0.204265 + 0.117933i
\(747\) 2.33010 + 1.34529i 0.0852540 + 0.0492214i
\(748\) 10.0937 0.369061
\(749\) −5.56410 + 1.57706i −0.203308 + 0.0576246i
\(750\) −6.65746 6.65746i −0.243096 0.243096i
\(751\) 5.34658 1.43261i 0.195100 0.0522768i −0.159946 0.987126i \(-0.551132\pi\)
0.355046 + 0.934849i \(0.384465\pi\)
\(752\) −9.31154 2.49502i −0.339557 0.0909840i
\(753\) 7.42141 + 1.98856i 0.270451 + 0.0724672i
\(754\) 7.77031 13.4586i 0.282978 0.490132i
\(755\) −2.31657 + 2.31657i −0.0843085 + 0.0843085i
\(756\) 2.19592 + 3.68010i 0.0798650 + 0.133844i
\(757\) 5.95540 5.95540i 0.216453 0.216453i −0.590549 0.807002i \(-0.701089\pi\)
0.807002 + 0.590549i \(0.201089\pi\)
\(758\) −5.99094 3.45887i −0.217601 0.125632i
\(759\) 8.01633 4.62823i 0.290974 0.167994i
\(760\) 47.4305 + 12.7090i 1.72048 + 0.461002i
\(761\) 14.3840 24.9139i 0.521421 0.903128i −0.478268 0.878214i \(-0.658735\pi\)
0.999690 0.0249144i \(-0.00793133\pi\)
\(762\) −6.35088 + 6.35088i −0.230068 + 0.230068i
\(763\) −5.94490 9.96294i −0.215220 0.360683i
\(764\) −5.37311 + 5.37311i −0.194392 + 0.194392i
\(765\) −17.4636 65.1749i −0.631396 2.35640i
\(766\) −2.98823 + 11.1522i −0.107969 + 0.402947i
\(767\) −7.71811 + 28.8044i −0.278685 + 1.04007i
\(768\) 6.33285 1.69688i 0.228517 0.0612309i
\(769\) −3.75930 −0.135564 −0.0677819 0.997700i \(-0.521592\pi\)
−0.0677819 + 0.997700i \(0.521592\pi\)
\(770\) −32.4681 18.1275i −1.17007 0.653270i
\(771\) 11.9830i 0.431558i
\(772\) −1.87759 + 0.503099i −0.0675760 + 0.0181069i
\(773\) −11.4140 3.05837i −0.410532 0.110002i 0.0476413 0.998865i \(-0.484830\pi\)
−0.458174 + 0.888863i \(0.651496\pi\)
\(774\) 2.40225 1.38694i 0.0863470 0.0498525i
\(775\) −30.9212 + 53.5570i −1.11072 + 1.92383i
\(776\) 0.310976 + 0.310976i 0.0111634 + 0.0111634i
\(777\) 0.0111914 + 0.777554i 0.000401488 + 0.0278946i
\(778\) 6.25334 0.224193
\(779\) −13.6721 + 24.7486i −0.489853 + 0.886712i
\(780\) −2.49408 4.31987i −0.0893023 0.154676i
\(781\) −11.4142 + 6.58997i −0.408431 + 0.235808i
\(782\) 40.2137 10.7752i 1.43804 0.385321i
\(783\) 9.38890 0.335532
\(784\) 17.7403 + 9.57248i 0.633583 + 0.341874i
\(785\) 49.4301 49.4301i 1.76424 1.76424i
\(786\) 2.61413 0.700455i 0.0932431 0.0249844i
\(787\) −19.4590 + 11.2347i −0.693640 + 0.400473i −0.804974 0.593310i \(-0.797821\pi\)
0.111334 + 0.993783i \(0.464488\pi\)
\(788\) 8.94985 5.16720i 0.318825 0.184074i
\(789\) 4.85950 8.41691i 0.173003 0.299650i
\(790\) 30.9935 + 30.9935i 1.10270 + 1.10270i
\(791\) −33.4764 32.5264i −1.19028 1.15651i
\(792\) 17.4002 + 17.4002i 0.618290 + 0.618290i
\(793\) −3.06352 11.4332i −0.108789 0.406006i
\(794\) 17.0865 + 4.57831i 0.606377 + 0.162478i
\(795\) 14.6143 + 25.3128i 0.518317 + 0.897751i
\(796\) 1.80369 + 6.73145i 0.0639300 + 0.238590i
\(797\) 20.4862 0.725659 0.362830 0.931856i \(-0.381811\pi\)
0.362830 + 0.931856i \(0.381811\pi\)
\(798\) 2.51137 + 8.86047i 0.0889016 + 0.313657i
\(799\) 23.8640i 0.844249i
\(800\) −18.1041 10.4524i −0.640076 0.369548i
\(801\) 23.5138 + 6.30050i 0.830819 + 0.222617i
\(802\) 21.7784 + 37.7212i 0.769020 + 1.33198i
\(803\) −6.95284 25.9484i −0.245361 0.915698i
\(804\) −0.764569 −0.0269643
\(805\) 43.9323 + 11.0965i 1.54841 + 0.391101i
\(806\) 31.0521 31.0521i 1.09376 1.09376i
\(807\) 18.7697 5.02933i 0.660725 0.177041i
\(808\) 3.28400 12.2561i 0.115531 0.431166i
\(809\) 2.64283 9.86318i 0.0929170 0.346771i −0.903778 0.428001i \(-0.859218\pi\)
0.996695 + 0.0812297i \(0.0258847\pi\)
\(810\) 12.5404 21.7205i 0.440623 0.763182i
\(811\) 42.3672i 1.48771i −0.668339 0.743857i \(-0.732994\pi\)
0.668339 0.743857i \(-0.267006\pi\)
\(812\) −2.73981 + 1.63485i −0.0961484 + 0.0573719i
\(813\) 0.256874 + 0.256874i 0.00900896 + 0.00900896i
\(814\) 0.462493 + 1.72605i 0.0162104 + 0.0604980i
\(815\) −41.5163 + 23.9694i −1.45425 + 0.839613i
\(816\) −6.51216 11.2794i −0.227971 0.394858i
\(817\) −3.66576 + 0.982237i −0.128249 + 0.0343641i
\(818\) 1.03731i 0.0362688i
\(819\) −15.8485 + 28.3862i −0.553792 + 0.991894i
\(820\) 7.38162 7.66584i 0.257777 0.267703i
\(821\) −24.7614 + 42.8880i −0.864179 + 1.49680i 0.00368135 + 0.999993i \(0.498828\pi\)
−0.867860 + 0.496808i \(0.834505\pi\)
\(822\) 7.34974 4.24337i 0.256351 0.148005i
\(823\) −3.78158 + 14.1131i −0.131818 + 0.491950i −0.999991 0.00431144i \(-0.998628\pi\)
0.868173 + 0.496262i \(0.165294\pi\)
\(824\) 2.48485 4.30388i 0.0865637 0.149933i
\(825\) 16.3024i 0.567577i
\(826\) −14.4408 + 14.8626i −0.502461 + 0.517136i
\(827\) 6.22077 + 6.22077i 0.216317 + 0.216317i 0.806945 0.590627i \(-0.201120\pi\)
−0.590627 + 0.806945i \(0.701120\pi\)
\(828\) −4.82237 2.78420i −0.167589 0.0967576i
\(829\) −28.5467 + 16.4815i −0.991468 + 0.572425i −0.905713 0.423892i \(-0.860664\pi\)
−0.0857555 + 0.996316i \(0.527330\pi\)
\(830\) −2.34492 4.06152i −0.0813934 0.140978i
\(831\) 6.16516 1.65195i 0.213867 0.0573055i
\(832\) 29.7627 + 29.7627i 1.03183 + 1.03183i
\(833\) −11.5230 + 48.5533i −0.399247 + 1.68227i
\(834\) 5.32211 5.32211i 0.184290 0.184290i
\(835\) −15.0238 56.0696i −0.519920 1.94037i
\(836\) −3.12605 5.41448i −0.108117 0.187264i
\(837\) 25.6269 + 6.86672i 0.885796 + 0.237348i
\(838\) −19.8376 + 34.3597i −0.685278 + 1.18694i
\(839\) 10.5866 10.5866i 0.365490 0.365490i −0.500339 0.865829i \(-0.666791\pi\)
0.865829 + 0.500339i \(0.166791\pi\)
\(840\) −0.268632 18.6640i −0.00926868 0.643970i
\(841\) 22.0100i 0.758967i
\(842\) −9.31659 34.7700i −0.321071 1.19825i
\(843\) −6.30760 10.9251i −0.217245 0.376280i
\(844\) −0.962026 0.257774i −0.0331143 0.00887295i
\(845\) 17.0884 29.5980i 0.587859 1.01820i
\(846\) 7.63964 7.63964i 0.262656 0.262656i
\(847\) −0.983776 3.47090i −0.0338029 0.119262i
\(848\) −25.7455 25.7455i −0.884105 0.884105i
\(849\) 13.9906 3.74878i 0.480157 0.128658i
\(850\) −18.9773 + 70.8241i −0.650915 + 2.42925i
\(851\) −1.08872 1.88572i −0.0373208 0.0646416i
\(852\) −1.06400 0.614300i −0.0364520 0.0210456i
\(853\) 18.0908i 0.619418i −0.950831 0.309709i \(-0.899768\pi\)
0.950831 0.309709i \(-0.100232\pi\)
\(854\) 2.01433 7.97497i 0.0689291 0.272898i
\(855\) −29.5528 + 29.5528i −1.01068 + 1.01068i
\(856\) −5.77713 3.33543i −0.197458 0.114003i
\(857\) −23.5206 40.7388i −0.803447 1.39161i −0.917334 0.398117i \(-0.869664\pi\)
0.113887 0.993494i \(-0.463670\pi\)
\(858\) 2.99619 11.1819i 0.102288 0.381745i
\(859\) 4.44857 + 2.56838i 0.151783 + 0.0876321i 0.573968 0.818878i \(-0.305403\pi\)
−0.422185 + 0.906510i \(0.638737\pi\)
\(860\) 1.42842 0.0487089
\(861\) 10.4685 + 2.43481i 0.356765 + 0.0829780i
\(862\) −25.1697 −0.857284
\(863\) −28.8889 16.6790i −0.983388 0.567760i −0.0800970 0.996787i \(-0.525523\pi\)
−0.903291 + 0.429028i \(0.858856\pi\)
\(864\) −2.32118 + 8.66277i −0.0789682 + 0.294714i
\(865\) −20.8592 36.1292i −0.709235 1.22843i
\(866\) −3.43843 1.98518i −0.116843 0.0674591i
\(867\) 15.1722 15.1722i 0.515274 0.515274i
\(868\) −8.67395 + 2.45850i −0.294413 + 0.0834471i
\(869\) 30.0520i 1.01945i
\(870\) −6.57689 3.79717i −0.222978 0.128736i
\(871\) −6.24963 10.8247i −0.211761 0.366780i
\(872\) 3.46361 12.9264i 0.117293 0.437742i
\(873\) −0.361564 + 0.0968807i −0.0122371 + 0.00327891i
\(874\) −18.2344 18.2344i −0.616788 0.616788i
\(875\) −22.0204 + 22.6635i −0.744426 + 0.766168i
\(876\) 1.77071 1.77071i 0.0598268 0.0598268i
\(877\) −13.3048 + 23.0445i −0.449270 + 0.778158i −0.998339 0.0576192i \(-0.981649\pi\)
0.549069 + 0.835777i \(0.314982\pi\)
\(878\) −33.2873 8.91931i −1.12339 0.301012i
\(879\) −5.56954 9.64672i −0.187856 0.325376i
\(880\) −8.43081 31.4642i −0.284202 1.06066i
\(881\) 16.6999i 0.562635i 0.959615 + 0.281318i \(0.0907714\pi\)
−0.959615 + 0.281318i \(0.909229\pi\)
\(882\) −19.2323 + 11.8546i −0.647586 + 0.399165i
\(883\) −24.9439 + 24.9439i −0.839428 + 0.839428i −0.988784 0.149356i \(-0.952280\pi\)
0.149356 + 0.988784i \(0.452280\pi\)
\(884\) −7.69103 + 13.3212i −0.258677 + 0.448042i
\(885\) 14.0760 + 3.77166i 0.473161 + 0.126783i
\(886\) −20.9399 36.2689i −0.703489 1.21848i
\(887\) −3.38125 12.6190i −0.113531 0.423705i 0.885641 0.464370i \(-0.153719\pi\)
−0.999173 + 0.0406648i \(0.987052\pi\)
\(888\) −0.634260 + 0.634260i −0.0212844 + 0.0212844i
\(889\) 21.6199 + 21.0063i 0.725107 + 0.704530i
\(890\) −30.0039 30.0039i −1.00573 1.00573i
\(891\) −16.6101 + 4.45067i −0.556460 + 0.149103i
\(892\) 6.41015 + 11.1027i 0.214628 + 0.371746i
\(893\) −12.8012 + 7.39079i −0.428377 + 0.247323i
\(894\) 2.68433 + 1.54980i 0.0897775 + 0.0518331i
\(895\) 59.4291 + 59.4291i 1.98649 + 1.98649i
\(896\) 4.33209 + 15.2842i 0.144725 + 0.510610i
\(897\) 14.1062i 0.470992i
\(898\) −3.91440 + 6.77994i −0.130625 + 0.226250i
\(899\) −5.11222 + 19.0790i −0.170502 + 0.636322i
\(900\) 8.49314 4.90352i 0.283105 0.163451i
\(901\) 45.0664 78.0574i 1.50138 2.60047i
\(902\) 24.6934 0.466415i 0.822200 0.0155299i
\(903\) 0.739222 + 1.23885i 0.0245998 + 0.0412263i
\(904\) 53.8394i 1.79067i
\(905\) −65.5986 + 17.5771i −2.18057 + 0.584282i
\(906\) −0.354372 0.613790i −0.0117732 0.0203918i
\(907\) 46.3611 26.7666i 1.53939 0.888770i 0.540520 0.841331i \(-0.318228\pi\)
0.998874 0.0474385i \(-0.0151058\pi\)
\(908\) 1.76327 + 6.58062i 0.0585162 + 0.218385i
\(909\) 7.63645 + 7.63645i 0.253285 + 0.253285i
\(910\) 48.6635 29.0376i 1.61318 0.962587i
\(911\) 32.5159i 1.07730i 0.842530 + 0.538650i \(0.181065\pi\)
−0.842530 + 0.538650i \(0.818935\pi\)
\(912\) −4.03369 + 6.98655i −0.133569 + 0.231348i
\(913\) −0.832230 + 3.10593i −0.0275428 + 0.102791i
\(914\) 5.95934 22.2406i 0.197118 0.735653i
\(915\) −5.58715 + 1.49707i −0.184706 + 0.0494917i
\(916\) −2.02019 + 2.02019i −0.0667490 + 0.0667490i
\(917\) −2.47695 8.73902i −0.0817960 0.288588i
\(918\) 31.4561 1.03820
\(919\) 9.60810 + 35.8579i 0.316942 + 1.18284i 0.922168 + 0.386790i \(0.126416\pi\)
−0.605226 + 0.796054i \(0.706917\pi\)
\(920\) 26.1331 + 45.2638i 0.861582 + 1.49230i
\(921\) 12.2132 + 3.27251i 0.402438 + 0.107833i
\(922\) 4.78969 + 2.76533i 0.157740 + 0.0910712i
\(923\) 20.0853i 0.661116i
\(924\) −1.65618 + 1.70455i −0.0544842 + 0.0560755i
\(925\) 3.83489 0.126091
\(926\) 9.93179 + 37.0659i 0.326379 + 1.21806i
\(927\) 2.11494 + 3.66319i 0.0694639 + 0.120315i
\(928\) −6.44937 1.72810i −0.211711 0.0567277i
\(929\) −3.32608 12.4131i −0.109125 0.407260i 0.889655 0.456633i \(-0.150945\pi\)
−0.998780 + 0.0493723i \(0.984278\pi\)
\(930\) −15.1745 15.1745i −0.497590 0.497590i
\(931\) 29.6138 8.85596i 0.970554 0.290242i
\(932\) −4.09186 4.09186i −0.134033 0.134033i
\(933\) 3.25267 5.63380i 0.106488 0.184442i
\(934\) 14.6680 8.46860i 0.479953 0.277101i
\(935\) 69.8345 40.3190i 2.28383 1.31857i
\(936\) −36.2225 + 9.70579i −1.18397 + 0.317244i
\(937\) 9.10212 9.10212i 0.297353 0.297353i −0.542623 0.839976i \(-0.682569\pi\)
0.839976 + 0.542623i \(0.182569\pi\)
\(938\) −0.125005 8.68507i −0.00408154 0.283578i
\(939\) −9.21825 −0.300826
\(940\) 5.37405 1.43997i 0.175282 0.0469668i
\(941\) 2.43784 1.40749i 0.0794715 0.0458829i −0.459738 0.888055i \(-0.652057\pi\)
0.539209 + 0.842172i \(0.318723\pi\)
\(942\) 7.56147 + 13.0968i 0.246366 + 0.426718i
\(943\) −28.9173 + 8.33676i −0.941677 + 0.271482i
\(944\) −18.1528 −0.590825
\(945\) 29.8929 + 16.6897i 0.972415 + 0.542917i
\(946\) 2.34409 + 2.34409i 0.0762131 + 0.0762131i
\(947\) 25.2957 43.8134i 0.821999 1.42374i −0.0821930 0.996616i \(-0.526192\pi\)
0.904192 0.427127i \(-0.140474\pi\)
\(948\) 2.42606 1.40069i 0.0787947 0.0454922i
\(949\) 39.5435 + 10.5956i 1.28364 + 0.343949i
\(950\) 43.8690 11.7547i 1.42330 0.381372i
\(951\) 3.00916i 0.0975788i
\(952\) −49.4295 + 29.4947i −1.60202 + 0.955927i
\(953\) −31.5287 −1.02131 −0.510657 0.859785i \(-0.670598\pi\)
−0.510657 + 0.859785i \(0.670598\pi\)
\(954\) 39.4159 10.5615i 1.27614 0.341940i
\(955\) −15.7118 + 58.6374i −0.508423 + 1.89746i
\(956\) −1.32992 + 4.96335i −0.0430128 + 0.160526i
\(957\) 1.34764 + 5.02948i 0.0435632 + 0.162580i
\(958\) −16.9102 + 16.9102i −0.546344 + 0.546344i
\(959\) −14.5955 24.4602i −0.471312 0.789862i
\(960\) 14.5443 14.5443i 0.469416 0.469416i
\(961\) −12.4075 + 21.4904i −0.400242 + 0.693239i
\(962\) −2.63038 0.704807i −0.0848067 0.0227239i
\(963\) 4.91713 2.83890i 0.158452 0.0914824i
\(964\) 9.04626 + 5.22286i 0.291360 + 0.168217i
\(965\) −10.9808 + 10.9808i −0.353483 + 0.353483i
\(966\) −4.77864 + 8.55900i −0.153750 + 0.275381i
\(967\) −15.7131 + 15.7131i −0.505301 + 0.505301i −0.913080 0.407780i \(-0.866303\pi\)
0.407780 + 0.913080i \(0.366303\pi\)
\(968\) 2.08065 3.60379i 0.0668746 0.115830i
\(969\) −19.2904 5.16886i −0.619698 0.166048i
\(970\) 0.630229 + 0.168869i 0.0202354 + 0.00542207i
\(971\) −0.350931 + 0.0940316i −0.0112619 + 0.00301762i −0.264446 0.964401i \(-0.585189\pi\)
0.253184 + 0.967418i \(0.418522\pi\)
\(972\) −4.56949 4.56949i −0.146566 0.146566i
\(973\) −18.1177 17.6036i −0.580826 0.564344i
\(974\) 16.3748 0.524683
\(975\) −21.5153 12.4219i −0.689041 0.397818i
\(976\) 6.24001 3.60267i 0.199738 0.115319i
\(977\) −1.80454 + 6.73464i −0.0577324 + 0.215460i −0.988766 0.149474i \(-0.952242\pi\)
0.931033 + 0.364934i \(0.118909\pi\)
\(978\) −2.68419 10.0175i −0.0858310 0.320326i
\(979\) 29.0925i 0.929802i
\(980\) −11.6292 + 0.334830i −0.371483 + 0.0106957i
\(981\) 8.05410 + 8.05410i 0.257148 + 0.257148i
\(982\) −26.9297 15.5479i −0.859363 0.496153i
\(983\) −3.48087 6.02904i −0.111022 0.192297i 0.805160 0.593057i \(-0.202079\pi\)
−0.916183 + 0.400761i \(0.868746\pi\)
\(984\) 6.40036 + 10.6175i 0.204036 + 0.338474i
\(985\) 41.2805 71.4999i 1.31531 2.27818i
\(986\) 23.4188i 0.745806i
\(987\) 4.02998 + 3.91562i 0.128276 + 0.124636i
\(988\) 9.52776 0.303119
\(989\) −3.49830 2.01975i −0.111240 0.0642242i
\(990\) 35.2636 + 9.44886i 1.12075 + 0.300305i
\(991\) −6.87354 + 25.6524i −0.218345 + 0.814875i 0.766617 + 0.642105i \(0.221939\pi\)
−0.984962 + 0.172770i \(0.944728\pi\)
\(992\) −16.3396 9.43368i −0.518783 0.299520i
\(993\) 15.5120i 0.492257i
\(994\) 6.80414 12.1869i 0.215814 0.386544i
\(995\) 39.3677 + 39.3677i 1.24804 + 1.24804i
\(996\) −0.289526 + 0.0775783i −0.00917399 + 0.00245816i
\(997\) 0.192796 0.719524i 0.00610591 0.0227876i −0.962806 0.270195i \(-0.912912\pi\)
0.968912 + 0.247407i \(0.0795786\pi\)
\(998\) 43.0555 + 11.5367i 1.36290 + 0.365188i
\(999\) −0.425811 1.58915i −0.0134721 0.0502784i
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 287.2.r.c.9.16 96
7.4 even 3 inner 287.2.r.c.214.9 yes 96
41.32 even 4 inner 287.2.r.c.114.9 yes 96
287.32 even 12 inner 287.2.r.c.32.16 yes 96
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
287.2.r.c.9.16 96 1.1 even 1 trivial
287.2.r.c.32.16 yes 96 287.32 even 12 inner
287.2.r.c.114.9 yes 96 41.32 even 4 inner
287.2.r.c.214.9 yes 96 7.4 even 3 inner