Properties

Label 240.2.bc.e.43.5
Level $240$
Weight $2$
Character 240.43
Analytic conductor $1.916$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [240,2,Mod(43,240)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(240, base_ring=CyclotomicField(4))
 
chi = DirichletCharacter(H, H._module([2, 1, 0, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("240.43");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bc (of order \(4\), degree \(2\), 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: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(i)\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{16} - 6 x^{15} + 14 x^{14} - 10 x^{13} - 26 x^{12} + 78 x^{11} - 66 x^{10} - 74 x^{9} + 233 x^{8} - 148 x^{7} - 264 x^{6} + 624 x^{5} - 416 x^{4} - 320 x^{3} + 896 x^{2} - 768 x + 256 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{5} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 43.5
Root \(-1.20803 - 0.735291i\) of defining polynomial
Character \(\chi\) \(=\) 240.43
Dual form 240.2.bc.e.67.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.873858 - 1.11192i) q^{2} +1.00000i q^{3} +(-0.472743 - 1.94333i) q^{4} +(1.54804 - 1.61356i) q^{5} +(1.11192 + 0.873858i) q^{6} +(0.143894 - 0.143894i) q^{7} +(-2.57394 - 1.17254i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.873858 - 1.11192i) q^{2} +1.00000i q^{3} +(-0.472743 - 1.94333i) q^{4} +(1.54804 - 1.61356i) q^{5} +(1.11192 + 0.873858i) q^{6} +(0.143894 - 0.143894i) q^{7} +(-2.57394 - 1.17254i) q^{8} -1.00000 q^{9} +(-0.441393 - 3.13132i) q^{10} +(0.749545 - 0.749545i) q^{11} +(1.94333 - 0.472743i) q^{12} +3.29132 q^{13} +(-0.0342559 - 0.285741i) q^{14} +(1.61356 + 1.54804i) q^{15} +(-3.55303 + 1.83739i) q^{16} +(1.35709 - 1.35709i) q^{17} +(-0.873858 + 1.11192i) q^{18} +(-4.25468 + 4.25468i) q^{19} +(-3.86750 - 2.24554i) q^{20} +(0.143894 + 0.143894i) q^{21} +(-0.178440 - 1.48843i) q^{22} +(0.837388 + 0.837388i) q^{23} +(1.17254 - 2.57394i) q^{24} +(-0.207170 - 4.99571i) q^{25} +(2.87614 - 3.65969i) q^{26} -1.00000i q^{27} +(-0.347657 - 0.211607i) q^{28} +(2.77462 + 2.77462i) q^{29} +(3.13132 - 0.441393i) q^{30} +6.60915i q^{31} +(-1.06181 + 5.55631i) q^{32} +(0.749545 + 0.749545i) q^{33} +(-0.323074 - 2.69488i) q^{34} +(-0.00942893 - 0.454934i) q^{35} +(0.472743 + 1.94333i) q^{36} -10.0194 q^{37} +(1.01289 + 8.44886i) q^{38} +3.29132i q^{39} +(-5.87651 + 2.33808i) q^{40} +1.72608i q^{41} +(0.285741 - 0.0342559i) q^{42} -4.17171 q^{43} +(-1.81095 - 1.10227i) q^{44} +(-1.54804 + 1.61356i) q^{45} +(1.66287 - 0.199352i) q^{46} +(8.54502 + 8.54502i) q^{47} +(-1.83739 - 3.55303i) q^{48} +6.95859i q^{49} +(-5.73588 - 4.13518i) q^{50} +(1.35709 + 1.35709i) q^{51} +(-1.55595 - 6.39610i) q^{52} -5.05524i q^{53} +(-1.11192 - 0.873858i) q^{54} +(-0.0491155 - 2.36976i) q^{55} +(-0.539094 + 0.201653i) q^{56} +(-4.25468 - 4.25468i) q^{57} +(5.50979 - 0.660538i) q^{58} +(-3.08237 - 3.08237i) q^{59} +(2.24554 - 3.86750i) q^{60} +(-5.00346 + 5.00346i) q^{61} +(7.34887 + 5.77546i) q^{62} +(-0.143894 + 0.143894i) q^{63} +(5.25031 + 6.03608i) q^{64} +(5.09507 - 5.31074i) q^{65} +(1.48843 - 0.178440i) q^{66} -4.26739 q^{67} +(-3.27881 - 1.99571i) q^{68} +(-0.837388 + 0.837388i) q^{69} +(-0.514091 - 0.387064i) q^{70} +13.2111 q^{71} +(2.57394 + 1.17254i) q^{72} +(11.6889 - 11.6889i) q^{73} +(-8.75550 + 11.1407i) q^{74} +(4.99571 - 0.207170i) q^{75} +(10.2796 + 6.25686i) q^{76} -0.215710i q^{77} +(3.65969 + 2.87614i) q^{78} -9.95558 q^{79} +(-2.53547 + 8.57738i) q^{80} +1.00000 q^{81} +(1.91927 + 1.50835i) q^{82} -10.0134i q^{83} +(0.211607 - 0.347657i) q^{84} +(-0.0889259 - 4.29056i) q^{85} +(-3.64549 + 4.63862i) q^{86} +(-2.77462 + 2.77462i) q^{87} +(-2.80815 + 1.05041i) q^{88} -5.76005 q^{89} +(0.441393 + 3.13132i) q^{90} +(0.473599 - 0.473599i) q^{91} +(1.23145 - 2.02319i) q^{92} -6.60915 q^{93} +(16.9685 - 2.03426i) q^{94} +(0.278797 + 13.4516i) q^{95} +(-5.55631 - 1.06181i) q^{96} +(11.7668 - 11.7668i) q^{97} +(7.73741 + 6.08082i) q^{98} +(-0.749545 + 0.749545i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 2 q^{2} + 8 q^{4} - 8 q^{5} + 2 q^{6} - 4 q^{7} + 8 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 2 q^{2} + 8 q^{4} - 8 q^{5} + 2 q^{6} - 4 q^{7} + 8 q^{8} - 16 q^{9} - 2 q^{10} - 4 q^{12} - 8 q^{13} + 4 q^{14} + 4 q^{15} - 8 q^{16} - 8 q^{17} - 2 q^{18} - 8 q^{19} + 4 q^{20} - 4 q^{21} + 4 q^{24} - 32 q^{25} + 20 q^{26} + 12 q^{28} - 12 q^{29} + 2 q^{30} - 28 q^{32} + 12 q^{35} - 8 q^{36} - 24 q^{37} + 16 q^{38} + 16 q^{40} + 24 q^{42} + 24 q^{43} - 52 q^{44} + 8 q^{45} - 16 q^{46} + 32 q^{47} - 16 q^{48} + 6 q^{50} - 8 q^{51} + 24 q^{52} - 2 q^{54} - 4 q^{55} + 20 q^{56} - 8 q^{57} + 12 q^{58} + 24 q^{59} + 24 q^{60} + 40 q^{61} + 28 q^{62} + 4 q^{63} + 8 q^{64} - 4 q^{65} - 8 q^{66} + 16 q^{67} - 8 q^{68} + 12 q^{70} - 8 q^{72} - 8 q^{73} - 64 q^{74} + 24 q^{75} + 16 q^{76} + 12 q^{78} + 48 q^{79} + 16 q^{81} - 32 q^{82} - 12 q^{84} - 8 q^{85} - 8 q^{86} + 12 q^{87} + 24 q^{88} + 2 q^{90} - 40 q^{91} - 16 q^{92} - 32 q^{93} + 20 q^{94} - 8 q^{95} - 28 q^{96} + 48 q^{97} + 62 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.873858 1.11192i 0.617911 0.786248i
\(3\) 1.00000i 0.577350i
\(4\) −0.472743 1.94333i −0.236372 0.971663i
\(5\) 1.54804 1.61356i 0.692303 0.721607i
\(6\) 1.11192 + 0.873858i 0.453940 + 0.356751i
\(7\) 0.143894 0.143894i 0.0543867 0.0543867i −0.679390 0.733777i \(-0.737756\pi\)
0.733777 + 0.679390i \(0.237756\pi\)
\(8\) −2.57394 1.17254i −0.910024 0.414554i
\(9\) −1.00000 −0.333333
\(10\) −0.441393 3.13132i −0.139581 0.990211i
\(11\) 0.749545 0.749545i 0.225996 0.225996i −0.585021 0.811018i \(-0.698914\pi\)
0.811018 + 0.585021i \(0.198914\pi\)
\(12\) 1.94333 0.472743i 0.560990 0.136469i
\(13\) 3.29132 0.912847 0.456423 0.889763i \(-0.349130\pi\)
0.456423 + 0.889763i \(0.349130\pi\)
\(14\) −0.0342559 0.285741i −0.00915528 0.0763676i
\(15\) 1.61356 + 1.54804i 0.416620 + 0.399701i
\(16\) −3.55303 + 1.83739i −0.888257 + 0.459347i
\(17\) 1.35709 1.35709i 0.329142 0.329142i −0.523118 0.852260i \(-0.675231\pi\)
0.852260 + 0.523118i \(0.175231\pi\)
\(18\) −0.873858 + 1.11192i −0.205970 + 0.262083i
\(19\) −4.25468 + 4.25468i −0.976091 + 0.976091i −0.999721 0.0236300i \(-0.992478\pi\)
0.0236300 + 0.999721i \(0.492478\pi\)
\(20\) −3.86750 2.24554i −0.864800 0.502117i
\(21\) 0.143894 + 0.143894i 0.0314002 + 0.0314002i
\(22\) −0.178440 1.48843i −0.0380435 0.317335i
\(23\) 0.837388 + 0.837388i 0.174608 + 0.174608i 0.789000 0.614393i \(-0.210599\pi\)
−0.614393 + 0.789000i \(0.710599\pi\)
\(24\) 1.17254 2.57394i 0.239343 0.525403i
\(25\) −0.207170 4.99571i −0.0414341 0.999141i
\(26\) 2.87614 3.65969i 0.564058 0.717724i
\(27\) 1.00000i 0.192450i
\(28\) −0.347657 0.211607i −0.0657010 0.0399900i
\(29\) 2.77462 + 2.77462i 0.515234 + 0.515234i 0.916126 0.400891i \(-0.131299\pi\)
−0.400891 + 0.916126i \(0.631299\pi\)
\(30\) 3.13132 0.441393i 0.571698 0.0805870i
\(31\) 6.60915i 1.18704i 0.804820 + 0.593520i \(0.202262\pi\)
−0.804820 + 0.593520i \(0.797738\pi\)
\(32\) −1.06181 + 5.55631i −0.187703 + 0.982226i
\(33\) 0.749545 + 0.749545i 0.130479 + 0.130479i
\(34\) −0.323074 2.69488i −0.0554067 0.462167i
\(35\) −0.00942893 0.454934i −0.00159378 0.0768979i
\(36\) 0.472743 + 1.94333i 0.0787906 + 0.323888i
\(37\) −10.0194 −1.64717 −0.823586 0.567191i \(-0.808030\pi\)
−0.823586 + 0.567191i \(0.808030\pi\)
\(38\) 1.01289 + 8.44886i 0.164312 + 1.37059i
\(39\) 3.29132i 0.527032i
\(40\) −5.87651 + 2.33808i −0.929158 + 0.369683i
\(41\) 1.72608i 0.269569i 0.990875 + 0.134784i \(0.0430342\pi\)
−0.990875 + 0.134784i \(0.956966\pi\)
\(42\) 0.285741 0.0342559i 0.0440908 0.00528580i
\(43\) −4.17171 −0.636180 −0.318090 0.948061i \(-0.603041\pi\)
−0.318090 + 0.948061i \(0.603041\pi\)
\(44\) −1.81095 1.10227i −0.273011 0.166173i
\(45\) −1.54804 + 1.61356i −0.230768 + 0.240536i
\(46\) 1.66287 0.199352i 0.245177 0.0293929i
\(47\) 8.54502 + 8.54502i 1.24642 + 1.24642i 0.957290 + 0.289128i \(0.0933654\pi\)
0.289128 + 0.957290i \(0.406635\pi\)
\(48\) −1.83739 3.55303i −0.265204 0.512835i
\(49\) 6.95859i 0.994084i
\(50\) −5.73588 4.13518i −0.811175 0.584803i
\(51\) 1.35709 + 1.35709i 0.190030 + 0.190030i
\(52\) −1.55595 6.39610i −0.215771 0.886979i
\(53\) 5.05524i 0.694391i −0.937793 0.347196i \(-0.887134\pi\)
0.937793 0.347196i \(-0.112866\pi\)
\(54\) −1.11192 0.873858i −0.151313 0.118917i
\(55\) −0.0491155 2.36976i −0.00662273 0.319538i
\(56\) −0.539094 + 0.201653i −0.0720395 + 0.0269470i
\(57\) −4.25468 4.25468i −0.563546 0.563546i
\(58\) 5.50979 0.660538i 0.723471 0.0867329i
\(59\) −3.08237 3.08237i −0.401290 0.401290i 0.477398 0.878687i \(-0.341580\pi\)
−0.878687 + 0.477398i \(0.841580\pi\)
\(60\) 2.24554 3.86750i 0.289897 0.499292i
\(61\) −5.00346 + 5.00346i −0.640627 + 0.640627i −0.950710 0.310083i \(-0.899643\pi\)
0.310083 + 0.950710i \(0.399643\pi\)
\(62\) 7.34887 + 5.77546i 0.933307 + 0.733485i
\(63\) −0.143894 + 0.143894i −0.0181289 + 0.0181289i
\(64\) 5.25031 + 6.03608i 0.656289 + 0.754509i
\(65\) 5.09507 5.31074i 0.631966 0.658717i
\(66\) 1.48843 0.178440i 0.183213 0.0219644i
\(67\) −4.26739 −0.521345 −0.260672 0.965427i \(-0.583944\pi\)
−0.260672 + 0.965427i \(0.583944\pi\)
\(68\) −3.27881 1.99571i −0.397614 0.242015i
\(69\) −0.837388 + 0.837388i −0.100810 + 0.100810i
\(70\) −0.514091 0.387064i −0.0614456 0.0462629i
\(71\) 13.2111 1.56786 0.783932 0.620846i \(-0.213211\pi\)
0.783932 + 0.620846i \(0.213211\pi\)
\(72\) 2.57394 + 1.17254i 0.303341 + 0.138185i
\(73\) 11.6889 11.6889i 1.36808 1.36808i 0.504904 0.863175i \(-0.331528\pi\)
0.863175 0.504904i \(-0.168472\pi\)
\(74\) −8.75550 + 11.1407i −1.01781 + 1.29509i
\(75\) 4.99571 0.207170i 0.576854 0.0239220i
\(76\) 10.2796 + 6.25686i 1.17915 + 0.717711i
\(77\) 0.215710i 0.0245824i
\(78\) 3.65969 + 2.87614i 0.414378 + 0.325659i
\(79\) −9.95558 −1.12009 −0.560045 0.828462i \(-0.689216\pi\)
−0.560045 + 0.828462i \(0.689216\pi\)
\(80\) −2.53547 + 8.57738i −0.283474 + 0.958980i
\(81\) 1.00000 0.111111
\(82\) 1.91927 + 1.50835i 0.211948 + 0.166570i
\(83\) 10.0134i 1.09912i −0.835455 0.549559i \(-0.814796\pi\)
0.835455 0.549559i \(-0.185204\pi\)
\(84\) 0.211607 0.347657i 0.0230883 0.0379325i
\(85\) −0.0889259 4.29056i −0.00964537 0.465377i
\(86\) −3.64549 + 4.63862i −0.393103 + 0.500195i
\(87\) −2.77462 + 2.77462i −0.297471 + 0.297471i
\(88\) −2.80815 + 1.05041i −0.299350 + 0.111974i
\(89\) −5.76005 −0.610564 −0.305282 0.952262i \(-0.598751\pi\)
−0.305282 + 0.952262i \(0.598751\pi\)
\(90\) 0.441393 + 3.13132i 0.0465269 + 0.330070i
\(91\) 0.473599 0.473599i 0.0496467 0.0496467i
\(92\) 1.23145 2.02319i 0.128387 0.210932i
\(93\) −6.60915 −0.685337
\(94\) 16.9685 2.03426i 1.75017 0.209818i
\(95\) 0.278797 + 13.4516i 0.0286040 + 1.38010i
\(96\) −5.55631 1.06181i −0.567088 0.108370i
\(97\) 11.7668 11.7668i 1.19474 1.19474i 0.219021 0.975720i \(-0.429714\pi\)
0.975720 0.219021i \(-0.0702865\pi\)
\(98\) 7.73741 + 6.08082i 0.781597 + 0.614256i
\(99\) −0.749545 + 0.749545i −0.0753321 + 0.0753321i
\(100\) −9.61034 + 2.76429i −0.961034 + 0.276429i
\(101\) −1.29314 1.29314i −0.128672 0.128672i 0.639838 0.768510i \(-0.279002\pi\)
−0.768510 + 0.639838i \(0.779002\pi\)
\(102\) 2.69488 0.323074i 0.266832 0.0319890i
\(103\) −11.2892 11.2892i −1.11236 1.11236i −0.992830 0.119532i \(-0.961861\pi\)
−0.119532 0.992830i \(-0.538139\pi\)
\(104\) −8.47164 3.85919i −0.830713 0.378425i
\(105\) 0.454934 0.00942893i 0.0443970 0.000920169i
\(106\) −5.62104 4.41757i −0.545964 0.429072i
\(107\) 1.39451i 0.134812i −0.997726 0.0674060i \(-0.978528\pi\)
0.997726 0.0674060i \(-0.0214723\pi\)
\(108\) −1.94333 + 0.472743i −0.186997 + 0.0454897i
\(109\) 4.55325 + 4.55325i 0.436123 + 0.436123i 0.890705 0.454582i \(-0.150211\pi\)
−0.454582 + 0.890705i \(0.650211\pi\)
\(110\) −2.67791 2.01622i −0.255329 0.192239i
\(111\) 10.0194i 0.950995i
\(112\) −0.246870 + 0.775647i −0.0233270 + 0.0732917i
\(113\) −11.4501 11.4501i −1.07714 1.07714i −0.996765 0.0803726i \(-0.974389\pi\)
−0.0803726 0.996765i \(-0.525611\pi\)
\(114\) −8.44886 + 1.01289i −0.791309 + 0.0948656i
\(115\) 2.64749 0.0548716i 0.246879 0.00511680i
\(116\) 4.08031 6.70368i 0.378847 0.622421i
\(117\) −3.29132 −0.304282
\(118\) −6.12090 + 0.733801i −0.563475 + 0.0675519i
\(119\) 0.390552i 0.0358018i
\(120\) −2.33808 5.87651i −0.213437 0.536450i
\(121\) 9.87636i 0.897851i
\(122\) 1.19114 + 9.93577i 0.107841 + 0.899542i
\(123\) −1.72608 −0.155636
\(124\) 12.8437 3.12443i 1.15340 0.280582i
\(125\) −8.38159 7.39925i −0.749672 0.661809i
\(126\) 0.0342559 + 0.285741i 0.00305176 + 0.0254559i
\(127\) 4.94562 + 4.94562i 0.438853 + 0.438853i 0.891626 0.452773i \(-0.149565\pi\)
−0.452773 + 0.891626i \(0.649565\pi\)
\(128\) 11.2997 0.563267i 0.998760 0.0497862i
\(129\) 4.17171i 0.367299i
\(130\) −1.45276 10.3062i −0.127416 0.903910i
\(131\) −12.7313 12.7313i −1.11234 1.11234i −0.992833 0.119509i \(-0.961868\pi\)
−0.119509 0.992833i \(-0.538132\pi\)
\(132\) 1.10227 1.81095i 0.0959401 0.157623i
\(133\) 1.22444i 0.106173i
\(134\) −3.72909 + 4.74501i −0.322145 + 0.409906i
\(135\) −1.61356 1.54804i −0.138873 0.133234i
\(136\) −5.08429 + 1.90182i −0.435974 + 0.163080i
\(137\) 6.06032 + 6.06032i 0.517768 + 0.517768i 0.916896 0.399127i \(-0.130687\pi\)
−0.399127 + 0.916896i \(0.630687\pi\)
\(138\) 0.199352 + 1.66287i 0.0169700 + 0.141553i
\(139\) −10.3543 10.3543i −0.878239 0.878239i 0.115114 0.993352i \(-0.463277\pi\)
−0.993352 + 0.115114i \(0.963277\pi\)
\(140\) −0.879627 + 0.233390i −0.0743421 + 0.0197251i
\(141\) −8.54502 + 8.54502i −0.719620 + 0.719620i
\(142\) 11.5446 14.6897i 0.968801 1.23273i
\(143\) 2.46699 2.46699i 0.206300 0.206300i
\(144\) 3.55303 1.83739i 0.296086 0.153116i
\(145\) 8.77224 0.181813i 0.728495 0.0150987i
\(146\) −2.78270 23.2115i −0.230298 1.92100i
\(147\) −6.95859 −0.573935
\(148\) 4.73658 + 19.4709i 0.389345 + 1.60050i
\(149\) −0.485009 + 0.485009i −0.0397335 + 0.0397335i −0.726694 0.686961i \(-0.758944\pi\)
0.686961 + 0.726694i \(0.258944\pi\)
\(150\) 4.13518 5.73588i 0.337636 0.468332i
\(151\) 6.47302 0.526767 0.263383 0.964691i \(-0.415162\pi\)
0.263383 + 0.964691i \(0.415162\pi\)
\(152\) 15.9401 5.96251i 1.29291 0.483624i
\(153\) −1.35709 + 1.35709i −0.109714 + 0.109714i
\(154\) −0.239852 0.188500i −0.0193278 0.0151897i
\(155\) 10.6643 + 10.2312i 0.856576 + 0.821790i
\(156\) 6.39610 1.55595i 0.512098 0.124575i
\(157\) 11.7463i 0.937455i 0.883343 + 0.468728i \(0.155287\pi\)
−0.883343 + 0.468728i \(0.844713\pi\)
\(158\) −8.69977 + 11.0698i −0.692117 + 0.880669i
\(159\) 5.05524 0.400907
\(160\) 7.32173 + 10.3147i 0.578834 + 0.815445i
\(161\) 0.240990 0.0189926
\(162\) 0.873858 1.11192i 0.0686568 0.0873609i
\(163\) 1.87143i 0.146582i 0.997311 + 0.0732908i \(0.0233501\pi\)
−0.997311 + 0.0732908i \(0.976650\pi\)
\(164\) 3.35434 0.815994i 0.261930 0.0637184i
\(165\) 2.36976 0.0491155i 0.184486 0.00382364i
\(166\) −11.1342 8.75033i −0.864179 0.679157i
\(167\) 4.79897 4.79897i 0.371355 0.371355i −0.496615 0.867971i \(-0.665424\pi\)
0.867971 + 0.496615i \(0.165424\pi\)
\(168\) −0.201653 0.539094i −0.0155578 0.0415920i
\(169\) −2.16724 −0.166711
\(170\) −4.84848 3.65046i −0.371861 0.279978i
\(171\) 4.25468 4.25468i 0.325364 0.325364i
\(172\) 1.97215 + 8.10699i 0.150375 + 0.618152i
\(173\) 12.8446 0.976560 0.488280 0.872687i \(-0.337625\pi\)
0.488280 + 0.872687i \(0.337625\pi\)
\(174\) 0.660538 + 5.50979i 0.0500753 + 0.417696i
\(175\) −0.748661 0.689040i −0.0565934 0.0520865i
\(176\) −1.28595 + 4.04036i −0.0969320 + 0.304554i
\(177\) 3.08237 3.08237i 0.231685 0.231685i
\(178\) −5.03346 + 6.40473i −0.377274 + 0.480054i
\(179\) 3.47791 3.47791i 0.259951 0.259951i −0.565083 0.825034i \(-0.691156\pi\)
0.825034 + 0.565083i \(0.191156\pi\)
\(180\) 3.86750 + 2.24554i 0.288267 + 0.167372i
\(181\) 16.3185 + 16.3185i 1.21295 + 1.21295i 0.970053 + 0.242893i \(0.0780965\pi\)
0.242893 + 0.970053i \(0.421903\pi\)
\(182\) −0.112747 0.940464i −0.00835737 0.0697119i
\(183\) −5.00346 5.00346i −0.369866 0.369866i
\(184\) −1.17352 3.13725i −0.0865128 0.231281i
\(185\) −15.5103 + 16.1669i −1.14034 + 1.18861i
\(186\) −5.77546 + 7.34887i −0.423478 + 0.538845i
\(187\) 2.03439i 0.148770i
\(188\) 12.5661 20.6453i 0.916480 1.50572i
\(189\) −0.143894 0.143894i −0.0104667 0.0104667i
\(190\) 15.2008 + 11.4448i 1.10278 + 0.830292i
\(191\) 21.5483i 1.55918i −0.626289 0.779591i \(-0.715427\pi\)
0.626289 0.779591i \(-0.284573\pi\)
\(192\) −6.03608 + 5.25031i −0.435616 + 0.378909i
\(193\) 11.3161 + 11.3161i 0.814552 + 0.814552i 0.985313 0.170760i \(-0.0546224\pi\)
−0.170760 + 0.985313i \(0.554622\pi\)
\(194\) −2.80126 23.3664i −0.201119 1.67761i
\(195\) 5.31074 + 5.09507i 0.380310 + 0.364866i
\(196\) 13.5228 3.28963i 0.965915 0.234973i
\(197\) −23.3109 −1.66083 −0.830417 0.557142i \(-0.811898\pi\)
−0.830417 + 0.557142i \(0.811898\pi\)
\(198\) 0.178440 + 1.48843i 0.0126812 + 0.105778i
\(199\) 2.14992i 0.152404i −0.997092 0.0762018i \(-0.975721\pi\)
0.997092 0.0762018i \(-0.0242793\pi\)
\(200\) −5.32441 + 13.1016i −0.376492 + 0.926420i
\(201\) 4.26739i 0.300999i
\(202\) −2.56789 + 0.307850i −0.180676 + 0.0216603i
\(203\) 0.798501 0.0560438
\(204\) 1.99571 3.27881i 0.139727 0.229563i
\(205\) 2.78514 + 2.67204i 0.194523 + 0.186623i
\(206\) −22.4180 + 2.68756i −1.56193 + 0.187251i
\(207\) −0.837388 0.837388i −0.0582025 0.0582025i
\(208\) −11.6941 + 6.04742i −0.810842 + 0.419313i
\(209\) 6.37815i 0.441186i
\(210\) 0.387064 0.514091i 0.0267099 0.0354756i
\(211\) 6.27270 + 6.27270i 0.431830 + 0.431830i 0.889251 0.457420i \(-0.151226\pi\)
−0.457420 + 0.889251i \(0.651226\pi\)
\(212\) −9.82398 + 2.38983i −0.674714 + 0.164134i
\(213\) 13.2111i 0.905207i
\(214\) −1.55058 1.21860i −0.105996 0.0833019i
\(215\) −6.45796 + 6.73132i −0.440429 + 0.459072i
\(216\) −1.17254 + 2.57394i −0.0797810 + 0.175134i
\(217\) 0.951015 + 0.951015i 0.0645591 + 0.0645591i
\(218\) 9.04176 1.08397i 0.612385 0.0734155i
\(219\) 11.6889 + 11.6889i 0.789861 + 0.789861i
\(220\) −4.58200 + 1.21574i −0.308918 + 0.0819649i
\(221\) 4.46660 4.46660i 0.300456 0.300456i
\(222\) −11.1407 8.75550i −0.747718 0.587631i
\(223\) 5.00009 5.00009i 0.334831 0.334831i −0.519587 0.854418i \(-0.673914\pi\)
0.854418 + 0.519587i \(0.173914\pi\)
\(224\) 0.646730 + 0.952305i 0.0432115 + 0.0636286i
\(225\) 0.207170 + 4.99571i 0.0138114 + 0.333047i
\(226\) −22.7374 + 2.72587i −1.51247 + 0.181322i
\(227\) −22.5630 −1.49756 −0.748778 0.662821i \(-0.769359\pi\)
−0.748778 + 0.662821i \(0.769359\pi\)
\(228\) −6.25686 + 10.2796i −0.414371 + 0.680783i
\(229\) 6.83720 6.83720i 0.451815 0.451815i −0.444142 0.895957i \(-0.646491\pi\)
0.895957 + 0.444142i \(0.146491\pi\)
\(230\) 2.25251 2.99175i 0.148526 0.197270i
\(231\) 0.215710 0.0141926
\(232\) −3.88836 10.3951i −0.255283 0.682469i
\(233\) −3.10894 + 3.10894i −0.203673 + 0.203673i −0.801572 0.597899i \(-0.796003\pi\)
0.597899 + 0.801572i \(0.296003\pi\)
\(234\) −2.87614 + 3.65969i −0.188019 + 0.239241i
\(235\) 27.0159 0.559930i 1.76232 0.0365258i
\(236\) −4.53287 + 7.44721i −0.295065 + 0.484772i
\(237\) 9.95558i 0.646685i
\(238\) −0.434264 0.341287i −0.0281491 0.0221224i
\(239\) −11.0671 −0.715873 −0.357937 0.933746i \(-0.616520\pi\)
−0.357937 + 0.933746i \(0.616520\pi\)
\(240\) −8.57738 2.53547i −0.553667 0.163664i
\(241\) −23.4743 −1.51211 −0.756056 0.654507i \(-0.772876\pi\)
−0.756056 + 0.654507i \(0.772876\pi\)
\(242\) 10.9818 + 8.63054i 0.705934 + 0.554792i
\(243\) 1.00000i 0.0641500i
\(244\) 12.0887 + 7.35799i 0.773899 + 0.471047i
\(245\) 11.2281 + 10.7721i 0.717338 + 0.688207i
\(246\) −1.50835 + 1.91927i −0.0961690 + 0.122368i
\(247\) −14.0035 + 14.0035i −0.891021 + 0.891021i
\(248\) 7.74948 17.0116i 0.492092 1.08023i
\(249\) 10.0134 0.634576
\(250\) −15.5517 + 2.85379i −0.983577 + 0.180489i
\(251\) −1.76187 + 1.76187i −0.111209 + 0.111209i −0.760521 0.649313i \(-0.775057\pi\)
0.649313 + 0.760521i \(0.275057\pi\)
\(252\) 0.347657 + 0.211607i 0.0219003 + 0.0133300i
\(253\) 1.25532 0.0789213
\(254\) 9.82092 1.17738i 0.616219 0.0738751i
\(255\) 4.29056 0.0889259i 0.268685 0.00556875i
\(256\) 9.24801 13.0566i 0.578001 0.816036i
\(257\) −4.05693 + 4.05693i −0.253064 + 0.253064i −0.822226 0.569162i \(-0.807268\pi\)
0.569162 + 0.822226i \(0.307268\pi\)
\(258\) −4.63862 3.64549i −0.288788 0.226958i
\(259\) −1.44172 + 1.44172i −0.0895842 + 0.0895842i
\(260\) −12.7292 7.39077i −0.789429 0.458356i
\(261\) −2.77462 2.77462i −0.171745 0.171745i
\(262\) −25.2816 + 3.03087i −1.56190 + 0.187248i
\(263\) 22.2576 + 22.2576i 1.37246 + 1.37246i 0.856784 + 0.515676i \(0.172459\pi\)
0.515676 + 0.856784i \(0.327541\pi\)
\(264\) −1.05041 2.80815i −0.0646485 0.172830i
\(265\) −8.15695 7.82570i −0.501078 0.480729i
\(266\) 1.36149 + 1.06999i 0.0834781 + 0.0656053i
\(267\) 5.76005i 0.352509i
\(268\) 2.01738 + 8.29293i 0.123231 + 0.506571i
\(269\) 11.9600 + 11.9600i 0.729217 + 0.729217i 0.970464 0.241247i \(-0.0775564\pi\)
−0.241247 + 0.970464i \(0.577556\pi\)
\(270\) −3.13132 + 0.441393i −0.190566 + 0.0268623i
\(271\) 15.7162i 0.954691i −0.878716 0.477346i \(-0.841599\pi\)
0.878716 0.477346i \(-0.158401\pi\)
\(272\) −2.32827 + 7.31526i −0.141172 + 0.443553i
\(273\) 0.473599 + 0.473599i 0.0286635 + 0.0286635i
\(274\) 12.0345 1.44275i 0.727029 0.0871595i
\(275\) −3.89979 3.58922i −0.235166 0.216438i
\(276\) 2.02319 + 1.23145i 0.121782 + 0.0741245i
\(277\) 4.59363 0.276004 0.138002 0.990432i \(-0.455932\pi\)
0.138002 + 0.990432i \(0.455932\pi\)
\(278\) −20.5613 + 2.46498i −1.23319 + 0.147840i
\(279\) 6.60915i 0.395680i
\(280\) −0.509157 + 1.18203i −0.0304280 + 0.0706397i
\(281\) 20.5117i 1.22363i 0.791002 + 0.611814i \(0.209560\pi\)
−0.791002 + 0.611814i \(0.790440\pi\)
\(282\) 2.03426 + 16.9685i 0.121139 + 1.01046i
\(283\) −28.8990 −1.71787 −0.858933 0.512088i \(-0.828872\pi\)
−0.858933 + 0.512088i \(0.828872\pi\)
\(284\) −6.24544 25.6734i −0.370599 1.52344i
\(285\) −13.4516 + 0.278797i −0.796804 + 0.0165145i
\(286\) −0.587302 4.89890i −0.0347279 0.289678i
\(287\) 0.248372 + 0.248372i 0.0146610 + 0.0146610i
\(288\) 1.06181 5.55631i 0.0625677 0.327409i
\(289\) 13.3166i 0.783332i
\(290\) 7.46353 9.91293i 0.438274 0.582107i
\(291\) 11.7668 + 11.7668i 0.689784 + 0.689784i
\(292\) −28.2411 17.1895i −1.65269 1.00594i
\(293\) 8.86723i 0.518029i 0.965873 + 0.259014i \(0.0833977\pi\)
−0.965873 + 0.259014i \(0.916602\pi\)
\(294\) −6.08082 + 7.73741i −0.354641 + 0.451255i
\(295\) −9.74521 + 0.201978i −0.567388 + 0.0117596i
\(296\) 25.7892 + 11.7481i 1.49897 + 0.682843i
\(297\) −0.749545 0.749545i −0.0434930 0.0434930i
\(298\) 0.115463 + 0.963122i 0.00668861 + 0.0557921i
\(299\) 2.75611 + 2.75611i 0.159390 + 0.159390i
\(300\) −2.76429 9.61034i −0.159596 0.554854i
\(301\) −0.600283 + 0.600283i −0.0345997 + 0.0345997i
\(302\) 5.65650 7.19749i 0.325495 0.414169i
\(303\) 1.29314 1.29314i 0.0742890 0.0742890i
\(304\) 7.29950 22.9345i 0.418655 1.31538i
\(305\) 0.327862 + 15.8189i 0.0187733 + 0.905789i
\(306\) 0.323074 + 2.69488i 0.0184689 + 0.154056i
\(307\) 14.1518 0.807684 0.403842 0.914829i \(-0.367675\pi\)
0.403842 + 0.914829i \(0.367675\pi\)
\(308\) −0.419194 + 0.101975i −0.0238858 + 0.00581058i
\(309\) 11.2892 11.2892i 0.642222 0.642222i
\(310\) 20.6954 2.91723i 1.17542 0.165688i
\(311\) 7.15165 0.405533 0.202766 0.979227i \(-0.435007\pi\)
0.202766 + 0.979227i \(0.435007\pi\)
\(312\) 3.85919 8.47164i 0.218484 0.479612i
\(313\) 5.98016 5.98016i 0.338019 0.338019i −0.517602 0.855621i \(-0.673175\pi\)
0.855621 + 0.517602i \(0.173175\pi\)
\(314\) 13.0610 + 10.2646i 0.737072 + 0.579264i
\(315\) 0.00942893 + 0.454934i 0.000531260 + 0.0256326i
\(316\) 4.70644 + 19.3469i 0.264758 + 1.08835i
\(317\) 7.76996i 0.436404i −0.975904 0.218202i \(-0.929981\pi\)
0.975904 0.218202i \(-0.0700192\pi\)
\(318\) 4.41757 5.62104i 0.247725 0.315212i
\(319\) 4.15941 0.232882
\(320\) 17.8673 + 0.872350i 0.998810 + 0.0487659i
\(321\) 1.39451 0.0778338
\(322\) 0.210591 0.267962i 0.0117358 0.0149329i
\(323\) 11.5479i 0.642544i
\(324\) −0.472743 1.94333i −0.0262635 0.107963i
\(325\) −0.681863 16.4424i −0.0378229 0.912063i
\(326\) 2.08088 + 1.63536i 0.115249 + 0.0905744i
\(327\) −4.55325 + 4.55325i −0.251795 + 0.251795i
\(328\) 2.02390 4.44283i 0.111751 0.245314i
\(329\) 2.45915 0.135577
\(330\) 2.01622 2.67791i 0.110989 0.147414i
\(331\) −0.751395 + 0.751395i −0.0413004 + 0.0413004i −0.727455 0.686155i \(-0.759297\pi\)
0.686155 + 0.727455i \(0.259297\pi\)
\(332\) −19.4594 + 4.73379i −1.06797 + 0.259800i
\(333\) 10.0194 0.549057
\(334\) −1.14246 9.52970i −0.0625127 0.521442i
\(335\) −6.60607 + 6.88570i −0.360928 + 0.376206i
\(336\) −0.775647 0.246870i −0.0423150 0.0134678i
\(337\) −0.379414 + 0.379414i −0.0206680 + 0.0206680i −0.717365 0.696697i \(-0.754652\pi\)
0.696697 + 0.717365i \(0.254652\pi\)
\(338\) −1.89386 + 2.40981i −0.103013 + 0.131076i
\(339\) 11.4501 11.4501i 0.621886 0.621886i
\(340\) −8.29592 + 2.20115i −0.449909 + 0.119374i
\(341\) 4.95386 + 4.95386i 0.268266 + 0.268266i
\(342\) −1.01289 8.44886i −0.0547707 0.456862i
\(343\) 2.00855 + 2.00855i 0.108452 + 0.108452i
\(344\) 10.7377 + 4.89149i 0.578939 + 0.263731i
\(345\) 0.0548716 + 2.64749i 0.00295419 + 0.142536i
\(346\) 11.2244 14.2822i 0.603427 0.767818i
\(347\) 16.7455i 0.898947i −0.893294 0.449473i \(-0.851612\pi\)
0.893294 0.449473i \(-0.148388\pi\)
\(348\) 6.70368 + 4.08031i 0.359355 + 0.218728i
\(349\) −21.0019 21.0019i −1.12421 1.12421i −0.991102 0.133104i \(-0.957506\pi\)
−0.133104 0.991102i \(-0.542494\pi\)
\(350\) −1.42038 + 0.230330i −0.0759226 + 0.0123116i
\(351\) 3.29132i 0.175677i
\(352\) 3.36883 + 4.96058i 0.179559 + 0.264400i
\(353\) −9.02933 9.02933i −0.480583 0.480583i 0.424735 0.905318i \(-0.360367\pi\)
−0.905318 + 0.424735i \(0.860367\pi\)
\(354\) −0.733801 6.12090i −0.0390011 0.325322i
\(355\) 20.4512 21.3169i 1.08544 1.13138i
\(356\) 2.72302 + 11.1936i 0.144320 + 0.593262i
\(357\) 0.390552 0.0206702
\(358\) −0.827965 6.90636i −0.0437593 0.365012i
\(359\) 12.2651i 0.647326i −0.946172 0.323663i \(-0.895086\pi\)
0.946172 0.323663i \(-0.104914\pi\)
\(360\) 5.87651 2.33808i 0.309719 0.123228i
\(361\) 17.2046i 0.905506i
\(362\) 32.4050 3.88486i 1.70317 0.204184i
\(363\) −9.87636 −0.518375
\(364\) −1.14425 0.696467i −0.0599749 0.0365048i
\(365\) −0.765938 36.9555i −0.0400910 1.93434i
\(366\) −9.93577 + 1.19114i −0.519351 + 0.0622621i
\(367\) 1.25485 + 1.25485i 0.0655025 + 0.0655025i 0.739099 0.673597i \(-0.235251\pi\)
−0.673597 + 0.739099i \(0.735251\pi\)
\(368\) −4.51387 1.43666i −0.235302 0.0748909i
\(369\) 1.72608i 0.0898563i
\(370\) 4.42247 + 31.3738i 0.229913 + 1.63105i
\(371\) −0.727417 0.727417i −0.0377656 0.0377656i
\(372\) 3.12443 + 12.8437i 0.161994 + 0.665917i
\(373\) 8.25732i 0.427548i 0.976883 + 0.213774i \(0.0685756\pi\)
−0.976883 + 0.213774i \(0.931424\pi\)
\(374\) −2.26209 1.77777i −0.116970 0.0919264i
\(375\) 7.39925 8.38159i 0.382096 0.432824i
\(376\) −11.9750 32.0137i −0.617563 1.65098i
\(377\) 9.13216 + 9.13216i 0.470330 + 0.470330i
\(378\) −0.285741 + 0.0342559i −0.0146969 + 0.00176193i
\(379\) −1.03027 1.03027i −0.0529214 0.0529214i 0.680151 0.733072i \(-0.261914\pi\)
−0.733072 + 0.680151i \(0.761914\pi\)
\(380\) 26.0090 6.90094i 1.33423 0.354011i
\(381\) −4.94562 + 4.94562i −0.253372 + 0.253372i
\(382\) −23.9601 18.8302i −1.22590 0.963436i
\(383\) −12.3374 + 12.3374i −0.630413 + 0.630413i −0.948172 0.317759i \(-0.897070\pi\)
0.317759 + 0.948172i \(0.397070\pi\)
\(384\) 0.563267 + 11.2997i 0.0287441 + 0.576634i
\(385\) −0.348061 0.333926i −0.0177388 0.0170184i
\(386\) 22.4713 2.69396i 1.14376 0.137119i
\(387\) 4.17171 0.212060
\(388\) −28.4295 17.3041i −1.44329 0.878483i
\(389\) 12.8354 12.8354i 0.650781 0.650781i −0.302400 0.953181i \(-0.597788\pi\)
0.953181 + 0.302400i \(0.0977880\pi\)
\(390\) 10.3062 1.45276i 0.521873 0.0735635i
\(391\) 2.27282 0.114941
\(392\) 8.15920 17.9110i 0.412102 0.904641i
\(393\) 12.7313 12.7313i 0.642211 0.642211i
\(394\) −20.3704 + 25.9199i −1.02625 + 1.30583i
\(395\) −15.4116 + 16.0640i −0.775442 + 0.808266i
\(396\) 1.81095 + 1.10227i 0.0910038 + 0.0553910i
\(397\) 14.3934i 0.722383i −0.932492 0.361191i \(-0.882370\pi\)
0.932492 0.361191i \(-0.117630\pi\)
\(398\) −2.39054 1.87872i −0.119827 0.0941718i
\(399\) −1.22444 −0.0612988
\(400\) 9.91513 + 17.3692i 0.495757 + 0.868461i
\(401\) −37.4272 −1.86902 −0.934512 0.355932i \(-0.884164\pi\)
−0.934512 + 0.355932i \(0.884164\pi\)
\(402\) −4.74501 3.72909i −0.236659 0.185990i
\(403\) 21.7528i 1.08358i
\(404\) −1.90167 + 3.12432i −0.0946116 + 0.155440i
\(405\) 1.54804 1.61356i 0.0769225 0.0801786i
\(406\) 0.697777 0.887871i 0.0346301 0.0440643i
\(407\) −7.50996 + 7.50996i −0.372255 + 0.372255i
\(408\) −1.90182 5.08429i −0.0941542 0.251710i
\(409\) −8.19166 −0.405052 −0.202526 0.979277i \(-0.564915\pi\)
−0.202526 + 0.979277i \(0.564915\pi\)
\(410\) 5.40492 0.761881i 0.266930 0.0376266i
\(411\) −6.06032 + 6.06032i −0.298934 + 0.298934i
\(412\) −16.6018 + 27.2756i −0.817910 + 1.34377i
\(413\) −0.887066 −0.0436497
\(414\) −1.66287 + 0.199352i −0.0817256 + 0.00979762i
\(415\) −16.1573 15.5012i −0.793131 0.760922i
\(416\) −3.49475 + 18.2876i −0.171344 + 0.896621i
\(417\) 10.3543 10.3543i 0.507051 0.507051i
\(418\) 7.09201 + 5.57360i 0.346881 + 0.272614i
\(419\) 22.2183 22.2183i 1.08544 1.08544i 0.0894455 0.995992i \(-0.471491\pi\)
0.995992 0.0894455i \(-0.0285095\pi\)
\(420\) −0.233390 0.879627i −0.0113883 0.0429214i
\(421\) −2.75098 2.75098i −0.134074 0.134074i 0.636885 0.770959i \(-0.280223\pi\)
−0.770959 + 0.636885i \(0.780223\pi\)
\(422\) 12.4562 1.49331i 0.606359 0.0726930i
\(423\) −8.54502 8.54502i −0.415473 0.415473i
\(424\) −5.92746 + 13.0119i −0.287863 + 0.631913i
\(425\) −7.06075 6.49845i −0.342497 0.315221i
\(426\) 14.6897 + 11.5446i 0.711717 + 0.559337i
\(427\) 1.43993i 0.0696832i
\(428\) −2.70998 + 0.659244i −0.130992 + 0.0318658i
\(429\) 2.46699 + 2.46699i 0.119107 + 0.119107i
\(430\) 1.84136 + 13.0630i 0.0887985 + 0.629952i
\(431\) 5.32770i 0.256626i −0.991734 0.128313i \(-0.959044\pi\)
0.991734 0.128313i \(-0.0409563\pi\)
\(432\) 1.83739 + 3.55303i 0.0884014 + 0.170945i
\(433\) −3.38866 3.38866i −0.162849 0.162849i 0.620979 0.783827i \(-0.286735\pi\)
−0.783827 + 0.620979i \(0.786735\pi\)
\(434\) 1.88851 0.226403i 0.0906513 0.0108677i
\(435\) 0.181813 + 8.77224i 0.00871726 + 0.420597i
\(436\) 6.69593 11.0010i 0.320677 0.526851i
\(437\) −7.12564 −0.340866
\(438\) 23.2115 2.78270i 1.10909 0.132963i
\(439\) 5.99801i 0.286269i −0.989703 0.143135i \(-0.954282\pi\)
0.989703 0.143135i \(-0.0457182\pi\)
\(440\) −2.65221 + 6.15721i −0.126439 + 0.293533i
\(441\) 6.95859i 0.331361i
\(442\) −1.06334 8.86968i −0.0505778 0.421888i
\(443\) −13.3394 −0.633773 −0.316887 0.948463i \(-0.602637\pi\)
−0.316887 + 0.948463i \(0.602637\pi\)
\(444\) −19.4709 + 4.73658i −0.924047 + 0.224788i
\(445\) −8.91676 + 9.29420i −0.422695 + 0.440587i
\(446\) −1.19034 9.92908i −0.0563643 0.470156i
\(447\) −0.485009 0.485009i −0.0229401 0.0229401i
\(448\) 1.62404 + 0.113066i 0.0767287 + 0.00534188i
\(449\) 29.7201i 1.40258i 0.712877 + 0.701289i \(0.247392\pi\)
−0.712877 + 0.701289i \(0.752608\pi\)
\(450\) 5.73588 + 4.13518i 0.270392 + 0.194934i
\(451\) 1.29378 + 1.29378i 0.0609216 + 0.0609216i
\(452\) −16.8384 + 27.6643i −0.792010 + 1.30122i
\(453\) 6.47302i 0.304129i
\(454\) −19.7168 + 25.0883i −0.925356 + 1.17745i
\(455\) −0.0310336 1.49733i −0.00145488 0.0701960i
\(456\) 5.96251 + 15.9401i 0.279220 + 0.746462i
\(457\) 13.8443 + 13.8443i 0.647611 + 0.647611i 0.952415 0.304804i \(-0.0985910\pi\)
−0.304804 + 0.952415i \(0.598591\pi\)
\(458\) −1.62769 13.5772i −0.0760571 0.634420i
\(459\) −1.35709 1.35709i −0.0633433 0.0633433i
\(460\) −1.35821 5.11899i −0.0633271 0.238674i
\(461\) 23.8766 23.8766i 1.11205 1.11205i 0.119172 0.992874i \(-0.461976\pi\)
0.992874 0.119172i \(-0.0380240\pi\)
\(462\) 0.188500 0.239852i 0.00876979 0.0111589i
\(463\) 10.5750 10.5750i 0.491463 0.491463i −0.417304 0.908767i \(-0.637025\pi\)
0.908767 + 0.417304i \(0.137025\pi\)
\(464\) −14.9564 4.76025i −0.694332 0.220989i
\(465\) −10.2312 + 10.6643i −0.474461 + 0.494544i
\(466\) 0.740126 + 6.17366i 0.0342857 + 0.285989i
\(467\) 30.0161 1.38898 0.694491 0.719502i \(-0.255630\pi\)
0.694491 + 0.719502i \(0.255630\pi\)
\(468\) 1.55595 + 6.39610i 0.0719237 + 0.295660i
\(469\) −0.614050 + 0.614050i −0.0283542 + 0.0283542i
\(470\) 22.9855 30.5289i 1.06024 1.40819i
\(471\) −11.7463 −0.541240
\(472\) 4.31963 + 11.5480i 0.198827 + 0.531540i
\(473\) −3.12689 + 3.12689i −0.143774 + 0.143774i
\(474\) −11.0698 8.69977i −0.508455 0.399594i
\(475\) 22.1366 + 20.3737i 1.01570 + 0.934809i
\(476\) −0.758970 + 0.184631i −0.0347873 + 0.00846254i
\(477\) 5.05524i 0.231464i
\(478\) −9.67111 + 12.3058i −0.442346 + 0.562854i
\(479\) −21.9152 −1.00133 −0.500665 0.865641i \(-0.666911\pi\)
−0.500665 + 0.865641i \(0.666911\pi\)
\(480\) −10.3147 + 7.32173i −0.470798 + 0.334190i
\(481\) −32.9769 −1.50362
\(482\) −20.5132 + 26.1016i −0.934351 + 1.18890i
\(483\) 0.240990i 0.0109654i
\(484\) 19.1930 4.66899i 0.872409 0.212227i
\(485\) −0.771047 37.2020i −0.0350114 1.68926i
\(486\) 1.11192 + 0.873858i 0.0504378 + 0.0396390i
\(487\) −5.66360 + 5.66360i −0.256642 + 0.256642i −0.823687 0.567045i \(-0.808087\pi\)
0.567045 + 0.823687i \(0.308087\pi\)
\(488\) 18.7453 7.01185i 0.848561 0.317411i
\(489\) −1.87143 −0.0846289
\(490\) 21.7896 3.07147i 0.984353 0.138755i
\(491\) −25.4744 + 25.4744i −1.14964 + 1.14964i −0.163018 + 0.986623i \(0.552123\pi\)
−0.986623 + 0.163018i \(0.947877\pi\)
\(492\) 0.815994 + 3.35434i 0.0367879 + 0.151225i
\(493\) 7.53080 0.339170
\(494\) 3.33373 + 27.8079i 0.149992 + 1.25114i
\(495\) 0.0491155 + 2.36976i 0.00220758 + 0.106513i
\(496\) −12.1436 23.4825i −0.545263 1.05440i
\(497\) 1.90099 1.90099i 0.0852709 0.0852709i
\(498\) 8.75033 11.1342i 0.392112 0.498934i
\(499\) −18.8209 + 18.8209i −0.842537 + 0.842537i −0.989188 0.146651i \(-0.953151\pi\)
0.146651 + 0.989188i \(0.453151\pi\)
\(500\) −10.4168 + 19.7861i −0.465854 + 0.884862i
\(501\) 4.79897 + 4.79897i 0.214402 + 0.214402i
\(502\) 0.419439 + 3.49870i 0.0187205 + 0.156154i
\(503\) 7.85721 + 7.85721i 0.350336 + 0.350336i 0.860234 0.509899i \(-0.170317\pi\)
−0.509899 + 0.860234i \(0.670317\pi\)
\(504\) 0.539094 0.201653i 0.0240132 0.00898232i
\(505\) −4.08839 + 0.0847357i −0.181931 + 0.00377069i
\(506\) 1.09697 1.39582i 0.0487664 0.0620517i
\(507\) 2.16724i 0.0962507i
\(508\) 7.27294 11.9490i 0.322685 0.530149i
\(509\) 10.1248 + 10.1248i 0.448776 + 0.448776i 0.894948 0.446171i \(-0.147213\pi\)
−0.446171 + 0.894948i \(0.647213\pi\)
\(510\) 3.65046 4.84848i 0.161645 0.214694i
\(511\) 3.36391i 0.148811i
\(512\) −6.43646 21.6927i −0.284454 0.958690i
\(513\) 4.25468 + 4.25468i 0.187849 + 0.187849i
\(514\) 0.965809 + 8.05617i 0.0426000 + 0.355342i
\(515\) −35.6920 + 0.739751i −1.57278 + 0.0325973i
\(516\) −8.10699 + 1.97215i −0.356891 + 0.0868190i
\(517\) 12.8097 0.563372
\(518\) 0.343222 + 2.86294i 0.0150803 + 0.125791i
\(519\) 12.8446i 0.563817i
\(520\) −19.3414 + 7.69536i −0.848179 + 0.337464i
\(521\) 37.3503i 1.63634i −0.574973 0.818172i \(-0.694987\pi\)
0.574973 0.818172i \(-0.305013\pi\)
\(522\) −5.50979 + 0.660538i −0.241157 + 0.0289110i
\(523\) 8.27258 0.361735 0.180867 0.983507i \(-0.442110\pi\)
0.180867 + 0.983507i \(0.442110\pi\)
\(524\) −18.7225 + 30.7598i −0.817895 + 1.34375i
\(525\) 0.689040 0.748661i 0.0300722 0.0326742i
\(526\) 44.1986 5.29873i 1.92715 0.231035i
\(527\) 8.96919 + 8.96919i 0.390704 + 0.390704i
\(528\) −4.04036 1.28595i −0.175834 0.0559637i
\(529\) 21.5976i 0.939024i
\(530\) −15.8296 + 2.23135i −0.687594 + 0.0969236i
\(531\) 3.08237 + 3.08237i 0.133763 + 0.133763i
\(532\) 2.37949 0.578847i 0.103164 0.0250962i
\(533\) 5.68108i 0.246075i
\(534\) −6.40473 5.03346i −0.277160 0.217819i
\(535\) −2.25012 2.15875i −0.0972814 0.0933308i
\(536\) 10.9840 + 5.00367i 0.474436 + 0.216126i
\(537\) 3.47791 + 3.47791i 0.150083 + 0.150083i
\(538\) 23.7500 2.84726i 1.02394 0.122754i
\(539\) 5.21578 + 5.21578i 0.224659 + 0.224659i
\(540\) −2.24554 + 3.86750i −0.0966325 + 0.166431i
\(541\) 11.1960 11.1960i 0.481352 0.481352i −0.424211 0.905563i \(-0.639449\pi\)
0.905563 + 0.424211i \(0.139449\pi\)
\(542\) −17.4752 13.7337i −0.750624 0.589914i
\(543\) −16.3185 + 16.3185i −0.700295 + 0.700295i
\(544\) 6.09942 + 8.98135i 0.261511 + 0.385072i
\(545\) 14.3956 0.298361i 0.616638 0.0127804i
\(546\) 0.940464 0.112747i 0.0402482 0.00482513i
\(547\) 26.6966 1.14147 0.570733 0.821136i \(-0.306659\pi\)
0.570733 + 0.821136i \(0.306659\pi\)
\(548\) 8.91220 14.6422i 0.380710 0.625482i
\(549\) 5.00346 5.00346i 0.213542 0.213542i
\(550\) −7.39880 + 1.19979i −0.315486 + 0.0511593i
\(551\) −23.6103 −1.00583
\(552\) 3.13725 1.17352i 0.133530 0.0499482i
\(553\) −1.43255 + 1.43255i −0.0609180 + 0.0609180i
\(554\) 4.01418 5.10776i 0.170546 0.217008i
\(555\) −16.1669 15.5103i −0.686245 0.658377i
\(556\) −15.2268 + 25.0167i −0.645761 + 1.06094i
\(557\) 0.715510i 0.0303171i 0.999885 + 0.0151586i \(0.00482531\pi\)
−0.999885 + 0.0151586i \(0.995175\pi\)
\(558\) −7.34887 5.77546i −0.311102 0.244495i
\(559\) −13.7304 −0.580735
\(560\) 0.869392 + 1.59907i 0.0367385 + 0.0675730i
\(561\) 2.03439 0.0858922
\(562\) 22.8075 + 17.9244i 0.962075 + 0.756093i
\(563\) 16.6892i 0.703364i 0.936119 + 0.351682i \(0.114390\pi\)
−0.936119 + 0.351682i \(0.885610\pi\)
\(564\) 20.6453 + 12.5661i 0.869326 + 0.529130i
\(565\) −36.2007 + 0.750294i −1.52298 + 0.0315651i
\(566\) −25.2536 + 32.1334i −1.06149 + 1.35067i
\(567\) 0.143894 0.143894i 0.00604297 0.00604297i
\(568\) −34.0044 15.4905i −1.42679 0.649965i
\(569\) 23.0249 0.965253 0.482626 0.875826i \(-0.339683\pi\)
0.482626 + 0.875826i \(0.339683\pi\)
\(570\) −11.4448 + 15.2008i −0.479369 + 0.636690i
\(571\) −7.65518 + 7.65518i −0.320359 + 0.320359i −0.848905 0.528546i \(-0.822738\pi\)
0.528546 + 0.848905i \(0.322738\pi\)
\(572\) −5.96041 3.62791i −0.249217 0.151691i
\(573\) 21.5483 0.900194
\(574\) 0.493213 0.0591286i 0.0205863 0.00246798i
\(575\) 4.00986 4.35683i 0.167223 0.181692i
\(576\) −5.25031 6.03608i −0.218763 0.251503i
\(577\) 22.0343 22.0343i 0.917298 0.917298i −0.0795337 0.996832i \(-0.525343\pi\)
0.996832 + 0.0795337i \(0.0253431\pi\)
\(578\) 14.8071 + 11.6369i 0.615893 + 0.484029i
\(579\) −11.3161 + 11.3161i −0.470282 + 0.470282i
\(580\) −4.50034 16.9614i −0.186866 0.704283i
\(581\) −1.44087 1.44087i −0.0597774 0.0597774i
\(582\) 23.3664 2.80126i 0.968567 0.116116i
\(583\) −3.78913 3.78913i −0.156930 0.156930i
\(584\) −43.7921 + 16.3808i −1.81213 + 0.677842i
\(585\) −5.09507 + 5.31074i −0.210655 + 0.219572i
\(586\) 9.85967 + 7.74870i 0.407299 + 0.320096i
\(587\) 22.5696i 0.931547i −0.884904 0.465773i \(-0.845776\pi\)
0.884904 0.465773i \(-0.154224\pi\)
\(588\) 3.28963 + 13.5228i 0.135662 + 0.557671i
\(589\) −28.1198 28.1198i −1.15866 1.15866i
\(590\) −8.29134 + 11.0124i −0.341349 + 0.453374i
\(591\) 23.3109i 0.958883i
\(592\) 35.5990 18.4094i 1.46311 0.756624i
\(593\) −26.4172 26.4172i −1.08482 1.08482i −0.996052 0.0887706i \(-0.971706\pi\)
−0.0887706 0.996052i \(-0.528294\pi\)
\(594\) −1.48843 + 0.178440i −0.0610711 + 0.00732148i
\(595\) −0.630180 0.604589i −0.0258349 0.0247857i
\(596\) 1.17182 + 0.713246i 0.0479994 + 0.0292157i
\(597\) 2.14992 0.0879902
\(598\) 5.47303 0.656131i 0.223809 0.0268312i
\(599\) 17.4693i 0.713775i −0.934147 0.356888i \(-0.883838\pi\)
0.934147 0.356888i \(-0.116162\pi\)
\(600\) −13.1016 5.32441i −0.534869 0.217368i
\(601\) 25.8843i 1.05584i 0.849294 + 0.527921i \(0.177028\pi\)
−0.849294 + 0.527921i \(0.822972\pi\)
\(602\) 0.142906 + 1.19203i 0.00582441 + 0.0485835i
\(603\) 4.26739 0.173782
\(604\) −3.06008 12.5792i −0.124513 0.511839i
\(605\) 15.9361 + 15.2890i 0.647896 + 0.621585i
\(606\) −0.307850 2.56789i −0.0125056 0.104314i
\(607\) 22.7204 + 22.7204i 0.922193 + 0.922193i 0.997184 0.0749912i \(-0.0238929\pi\)
−0.0749912 + 0.997184i \(0.523893\pi\)
\(608\) −19.1227 28.1580i −0.775526 1.14196i
\(609\) 0.798501i 0.0323569i
\(610\) 17.8759 + 13.4589i 0.723775 + 0.544937i
\(611\) 28.1243 + 28.1243i 1.13779 + 1.13779i
\(612\) 3.27881 + 1.99571i 0.132538 + 0.0806716i
\(613\) 0.840532i 0.0339488i −0.999856 0.0169744i \(-0.994597\pi\)
0.999856 0.0169744i \(-0.00540337\pi\)
\(614\) 12.3666 15.7357i 0.499077 0.635040i
\(615\) −2.67204 + 2.78514i −0.107747 + 0.112308i
\(616\) −0.252927 + 0.555223i −0.0101907 + 0.0223706i
\(617\) −7.18912 7.18912i −0.289423 0.289423i 0.547429 0.836852i \(-0.315607\pi\)
−0.836852 + 0.547429i \(0.815607\pi\)
\(618\) −2.68756 22.4180i −0.108110 0.901782i
\(619\) 31.9741 + 31.9741i 1.28515 + 1.28515i 0.937700 + 0.347447i \(0.112951\pi\)
0.347447 + 0.937700i \(0.387049\pi\)
\(620\) 14.8411 25.5609i 0.596033 1.02655i
\(621\) 0.837388 0.837388i 0.0336032 0.0336032i
\(622\) 6.24953 7.95208i 0.250583 0.318849i
\(623\) −0.828834 + 0.828834i −0.0332065 + 0.0332065i
\(624\) −6.04742 11.6941i −0.242091 0.468140i
\(625\) −24.9142 + 2.06992i −0.996566 + 0.0827970i
\(626\) −1.42366 11.8753i −0.0569010 0.474632i
\(627\) −6.37815 −0.254719
\(628\) 22.8269 5.55298i 0.910891 0.221588i
\(629\) −13.5971 + 13.5971i −0.542153 + 0.542153i
\(630\) 0.514091 + 0.387064i 0.0204819 + 0.0154210i
\(631\) 28.2004 1.12264 0.561320 0.827599i \(-0.310294\pi\)
0.561320 + 0.827599i \(0.310294\pi\)
\(632\) 25.6251 + 11.6733i 1.01931 + 0.464339i
\(633\) −6.27270 + 6.27270i −0.249317 + 0.249317i
\(634\) −8.63959 6.78984i −0.343122 0.269659i
\(635\) 15.6361 0.324072i 0.620498 0.0128604i
\(636\) −2.38983 9.82398i −0.0947630 0.389546i
\(637\) 22.9029i 0.907446i
\(638\) 3.63473 4.62494i 0.143900 0.183103i
\(639\) −13.2111 −0.522621
\(640\) 16.5834 19.1047i 0.655518 0.755180i
\(641\) 36.6103 1.44602 0.723011 0.690837i \(-0.242758\pi\)
0.723011 + 0.690837i \(0.242758\pi\)
\(642\) 1.21860 1.55058i 0.0480944 0.0611967i
\(643\) 13.4647i 0.530996i 0.964111 + 0.265498i \(0.0855364\pi\)
−0.964111 + 0.265498i \(0.914464\pi\)
\(644\) −0.113926 0.468321i −0.00448932 0.0184544i
\(645\) −6.73132 6.45796i −0.265045 0.254282i
\(646\) 12.8404 + 10.0913i 0.505199 + 0.397035i
\(647\) 23.4382 23.4382i 0.921451 0.921451i −0.0756812 0.997132i \(-0.524113\pi\)
0.997132 + 0.0756812i \(0.0241131\pi\)
\(648\) −2.57394 1.17254i −0.101114 0.0460616i
\(649\) −4.62075 −0.181380
\(650\) −18.8786 13.6102i −0.740479 0.533835i
\(651\) −0.951015 + 0.951015i −0.0372732 + 0.0372732i
\(652\) 3.63680 0.884706i 0.142428 0.0346477i
\(653\) 15.0338 0.588318 0.294159 0.955756i \(-0.404960\pi\)
0.294159 + 0.955756i \(0.404960\pi\)
\(654\) 1.08397 + 9.04176i 0.0423865 + 0.353561i
\(655\) −40.2514 + 0.834247i −1.57275 + 0.0325967i
\(656\) −3.17148 6.13282i −0.123826 0.239446i
\(657\) −11.6889 + 11.6889i −0.456027 + 0.456027i
\(658\) 2.14895 2.73438i 0.0837746 0.106597i
\(659\) 12.8233 12.8233i 0.499524 0.499524i −0.411766 0.911290i \(-0.635088\pi\)
0.911290 + 0.411766i \(0.135088\pi\)
\(660\) −1.21574 4.58200i −0.0473225 0.178354i
\(661\) 22.6599 + 22.6599i 0.881369 + 0.881369i 0.993674 0.112305i \(-0.0358232\pi\)
−0.112305 + 0.993674i \(0.535823\pi\)
\(662\) 0.178880 + 1.49211i 0.00695238 + 0.0579923i
\(663\) 4.46660 + 4.46660i 0.173468 + 0.173468i
\(664\) −11.7411 + 25.7740i −0.455644 + 1.00022i
\(665\) 1.97572 + 1.89548i 0.0766150 + 0.0735036i
\(666\) 8.75550 11.1407i 0.339269 0.431695i
\(667\) 4.64687i 0.179928i
\(668\) −11.5946 7.05727i −0.448610 0.273054i
\(669\) 5.00009 + 5.00009i 0.193315 + 0.193315i
\(670\) 1.88360 + 13.3626i 0.0727697 + 0.516241i
\(671\) 7.50063i 0.289559i
\(672\) −0.952305 + 0.646730i −0.0367360 + 0.0249481i
\(673\) 18.5901 + 18.5901i 0.716595 + 0.716595i 0.967906 0.251311i \(-0.0808617\pi\)
−0.251311 + 0.967906i \(0.580862\pi\)
\(674\) 0.0903249 + 0.753433i 0.00347918 + 0.0290211i
\(675\) −4.99571 + 0.207170i −0.192285 + 0.00797399i
\(676\) 1.02455 + 4.21166i 0.0394058 + 0.161987i
\(677\) 1.52496 0.0586089 0.0293044 0.999571i \(-0.490671\pi\)
0.0293044 + 0.999571i \(0.490671\pi\)
\(678\) −2.72587 22.7374i −0.104686 0.873226i
\(679\) 3.38635i 0.129956i
\(680\) −4.80195 + 11.1479i −0.184146 + 0.427503i
\(681\) 22.5630i 0.864614i
\(682\) 9.83728 1.17934i 0.376689 0.0451591i
\(683\) 3.77382 0.144401 0.0722006 0.997390i \(-0.476998\pi\)
0.0722006 + 0.997390i \(0.476998\pi\)
\(684\) −10.2796 6.25686i −0.393050 0.239237i
\(685\) 19.1603 0.397115i 0.732078 0.0151730i
\(686\) 3.98854 0.478164i 0.152283 0.0182564i
\(687\) 6.83720 + 6.83720i 0.260856 + 0.260856i
\(688\) 14.8222 7.66505i 0.565091 0.292227i
\(689\) 16.6384i 0.633873i
\(690\) 2.99175 + 2.25251i 0.113894 + 0.0857518i
\(691\) −15.9624 15.9624i −0.607239 0.607239i 0.334984 0.942224i \(-0.391269\pi\)
−0.942224 + 0.334984i \(0.891269\pi\)
\(692\) −6.07222 24.9613i −0.230831 0.948887i
\(693\) 0.215710i 0.00819413i
\(694\) −18.6197 14.6332i −0.706795 0.555469i
\(695\) −32.7361 + 0.678486i −1.24175 + 0.0257364i
\(696\) 10.3951 3.88836i 0.394023 0.147388i
\(697\) 2.34244 + 2.34244i 0.0887263 + 0.0887263i
\(698\) −41.7052 + 4.99980i −1.57856 + 0.189245i
\(699\) −3.10894 3.10894i −0.117591 0.117591i
\(700\) −0.985104 + 1.78063i −0.0372334 + 0.0673015i
\(701\) −20.1411 + 20.1411i −0.760717 + 0.760717i −0.976452 0.215735i \(-0.930785\pi\)
0.215735 + 0.976452i \(0.430785\pi\)
\(702\) −3.65969 2.87614i −0.138126 0.108553i
\(703\) 42.6292 42.6292i 1.60779 1.60779i
\(704\) 8.45966 + 0.588964i 0.318835 + 0.0221974i
\(705\) 0.559930 + 27.0159i 0.0210882 + 1.01748i
\(706\) −17.9303 + 2.14956i −0.674814 + 0.0808997i
\(707\) −0.372149 −0.0139961
\(708\) −7.44721 4.53287i −0.279883 0.170356i
\(709\) −8.20276 + 8.20276i −0.308061 + 0.308061i −0.844157 0.536096i \(-0.819899\pi\)
0.536096 + 0.844157i \(0.319899\pi\)
\(710\) −5.83127 41.3681i −0.218844 1.55252i
\(711\) 9.95558 0.373364
\(712\) 14.8260 + 6.75387i 0.555628 + 0.253112i
\(713\) −5.53443 + 5.53443i −0.207266 + 0.207266i
\(714\) 0.341287 0.434264i 0.0127724 0.0162519i
\(715\) −0.161655 7.79963i −0.00604554 0.291690i
\(716\) −8.40286 5.11455i −0.314030 0.191140i
\(717\) 11.0671i 0.413310i
\(718\) −13.6378 10.7179i −0.508959 0.399990i
\(719\) 23.6655 0.882576 0.441288 0.897366i \(-0.354522\pi\)
0.441288 + 0.897366i \(0.354522\pi\)
\(720\) 2.53547 8.57738i 0.0944915 0.319660i
\(721\) −3.24890 −0.120995
\(722\) −19.1302 15.0344i −0.711952 0.559522i
\(723\) 23.4743i 0.873018i
\(724\) 23.9977 39.4267i 0.891869 1.46528i
\(725\) 13.2864 14.4360i 0.493444 0.536140i
\(726\) −8.63054 + 10.9818i −0.320309 + 0.407571i
\(727\) −1.68416 + 1.68416i −0.0624622 + 0.0624622i −0.737648 0.675186i \(-0.764064\pi\)
0.675186 + 0.737648i \(0.264064\pi\)
\(728\) −1.77433 + 0.663703i −0.0657610 + 0.0245985i
\(729\) −1.00000 −0.0370370
\(730\) −41.7610 31.4422i −1.54564 1.16373i
\(731\) −5.66137 + 5.66137i −0.209393 + 0.209393i
\(732\) −7.35799 + 12.0887i −0.271959 + 0.446811i
\(733\) −48.4131 −1.78818 −0.894089 0.447889i \(-0.852176\pi\)
−0.894089 + 0.447889i \(0.852176\pi\)
\(734\) 2.49185 0.298734i 0.0919759 0.0110265i
\(735\) −10.7721 + 11.2281i −0.397337 + 0.414155i
\(736\) −5.54193 + 3.76364i −0.204278 + 0.138730i
\(737\) −3.19860 + 3.19860i −0.117822 + 0.117822i
\(738\) −1.91927 1.50835i −0.0706493 0.0555232i
\(739\) −2.35313 + 2.35313i −0.0865612 + 0.0865612i −0.749062 0.662500i \(-0.769495\pi\)
0.662500 + 0.749062i \(0.269495\pi\)
\(740\) 38.7499 + 22.4988i 1.42447 + 0.827073i
\(741\) −14.0035 14.0035i −0.514431 0.514431i
\(742\) −1.44449 + 0.173172i −0.0530290 + 0.00635735i
\(743\) 17.6788 + 17.6788i 0.648571 + 0.648571i 0.952648 0.304076i \(-0.0983478\pi\)
−0.304076 + 0.952648i \(0.598348\pi\)
\(744\) 17.0116 + 7.74948i 0.623674 + 0.284110i
\(745\) 0.0317812 + 1.53340i 0.00116437 + 0.0561796i
\(746\) 9.18150 + 7.21573i 0.336159 + 0.264187i
\(747\) 10.0134i 0.366373i
\(748\) −3.95349 + 0.961746i −0.144554 + 0.0351649i
\(749\) −0.200661 0.200661i −0.00733198 0.00733198i
\(750\) −2.85379 15.5517i −0.104206 0.567868i
\(751\) 40.8647i 1.49117i 0.666409 + 0.745587i \(0.267831\pi\)
−0.666409 + 0.745587i \(0.732169\pi\)
\(752\) −46.0612 14.6602i −1.67968 0.534601i
\(753\) −1.76187 1.76187i −0.0642063 0.0642063i
\(754\) 18.1345 2.17404i 0.660418 0.0791738i
\(755\) 10.0205 10.4446i 0.364682 0.380119i
\(756\) −0.211607 + 0.347657i −0.00769609 + 0.0126442i
\(757\) −24.6892 −0.897345 −0.448673 0.893696i \(-0.648103\pi\)
−0.448673 + 0.893696i \(0.648103\pi\)
\(758\) −2.04589 + 0.245270i −0.0743101 + 0.00890862i
\(759\) 1.25532i 0.0455652i
\(760\) 15.0549 34.9505i 0.546098 1.26779i
\(761\) 6.54343i 0.237199i −0.992942 0.118600i \(-0.962160\pi\)
0.992942 0.118600i \(-0.0378405\pi\)
\(762\) 1.17738 + 9.82092i 0.0426518 + 0.355774i
\(763\) 1.31037 0.0474385
\(764\) −41.8754 + 10.1868i −1.51500 + 0.368546i
\(765\) 0.0889259 + 4.29056i 0.00321512 + 0.155126i
\(766\) 2.93710 + 24.4994i 0.106122 + 0.885200i
\(767\) −10.1450 10.1450i −0.366316 0.366316i
\(768\) 13.0566 + 9.24801i 0.471139 + 0.333709i
\(769\) 26.2710i 0.947357i 0.880698 + 0.473678i \(0.157074\pi\)
−0.880698 + 0.473678i \(0.842926\pi\)
\(770\) −0.675456 + 0.0952127i −0.0243417 + 0.00343123i
\(771\) −4.05693 4.05693i −0.146107 0.146107i
\(772\) 16.6413 27.3405i 0.598933 0.984007i
\(773\) 9.19242i 0.330628i −0.986241 0.165314i \(-0.947136\pi\)
0.986241 0.165314i \(-0.0528638\pi\)
\(774\) 3.64549 4.63862i 0.131034 0.166732i
\(775\) 33.0174 1.36922i 1.18602 0.0491839i
\(776\) −44.0842 + 16.4901i −1.58253 + 0.591959i
\(777\) −1.44172 1.44172i −0.0517215 0.0517215i
\(778\) −3.05565 25.4883i −0.109550 0.913800i
\(779\) −7.34393 7.34393i −0.263124 0.263124i
\(780\) 7.39077 12.7292i 0.264632 0.455777i
\(781\) 9.90228 9.90228i 0.354332 0.354332i
\(782\) 1.98612 2.52719i 0.0710235 0.0903723i
\(783\) 2.77462 2.77462i 0.0991569 0.0991569i
\(784\) −12.7856 24.7241i −0.456630 0.883002i
\(785\) 18.9534 + 18.1837i 0.676475 + 0.649003i
\(786\) −3.03087 25.2816i −0.108108 0.901766i
\(787\) −20.9534 −0.746908 −0.373454 0.927649i \(-0.621827\pi\)
−0.373454 + 0.927649i \(0.621827\pi\)
\(788\) 11.0201 + 45.3007i 0.392574 + 1.61377i
\(789\) −22.2576 + 22.2576i −0.792390 + 0.792390i
\(790\) 4.39432 + 31.1741i 0.156343 + 1.10913i
\(791\) −3.29520 −0.117164
\(792\) 2.80815 1.05041i 0.0997833 0.0373248i
\(793\) −16.4680 + 16.4680i −0.584794 + 0.584794i
\(794\) −16.0043 12.5778i −0.567972 0.446368i
\(795\) 7.82570 8.15695i 0.277549 0.289297i
\(796\) −4.17799 + 1.01636i −0.148085 + 0.0360239i
\(797\) 25.5883i 0.906384i 0.891413 + 0.453192i \(0.149715\pi\)
−0.891413 + 0.453192i \(0.850285\pi\)
\(798\) −1.06999 + 1.36149i −0.0378772 + 0.0481961i
\(799\) 23.1926 0.820497
\(800\) 27.9777 + 4.15338i 0.989160 + 0.146844i
\(801\) 5.76005 0.203521
\(802\) −32.7060 + 41.6161i −1.15489 + 1.46952i
\(803\) 17.5227i 0.618362i
\(804\) −8.29293 + 2.01738i −0.292469 + 0.0711475i
\(805\) 0.373061 0.388852i 0.0131487 0.0137052i
\(806\) 24.1874 + 19.0089i 0.851966 + 0.669559i
\(807\) −11.9600 + 11.9600i −0.421014 + 0.421014i
\(808\) 1.81221 + 4.84472i 0.0637532 + 0.170437i
\(809\) 4.93002 0.173330 0.0866652 0.996237i \(-0.472379\pi\)
0.0866652 + 0.996237i \(0.472379\pi\)
\(810\) −0.441393 3.13132i −0.0155090 0.110023i
\(811\) 35.3133 35.3133i 1.24002 1.24002i 0.280025 0.959993i \(-0.409657\pi\)
0.959993 0.280025i \(-0.0903426\pi\)
\(812\) −0.377486 1.55175i −0.0132472 0.0544557i
\(813\) 15.7162 0.551191
\(814\) 1.78785 + 14.9131i 0.0626642 + 0.522705i
\(815\) 3.01967 + 2.89704i 0.105774 + 0.101479i
\(816\) −7.31526 2.32827i −0.256085 0.0815057i
\(817\) 17.7493 17.7493i 0.620970 0.620970i
\(818\) −7.15835 + 9.10849i −0.250286 + 0.318471i
\(819\) −0.473599 + 0.473599i −0.0165489 + 0.0165489i
\(820\) 3.87598 6.67563i 0.135355 0.233123i
\(821\) 36.2490 + 36.2490i 1.26510 + 1.26510i 0.948589 + 0.316509i \(0.102511\pi\)
0.316509 + 0.948589i \(0.397489\pi\)
\(822\) 1.44275 + 12.0345i 0.0503215 + 0.419750i
\(823\) 23.0235 + 23.0235i 0.802548 + 0.802548i 0.983493 0.180945i \(-0.0579156\pi\)
−0.180945 + 0.983493i \(0.557916\pi\)
\(824\) 15.8208 + 42.2949i 0.551142 + 1.47341i
\(825\) 3.58922 3.89979i 0.124961 0.135773i
\(826\) −0.775170 + 0.986349i −0.0269716 + 0.0343195i
\(827\) 44.8863i 1.56085i −0.625250 0.780424i \(-0.715003\pi\)
0.625250 0.780424i \(-0.284997\pi\)
\(828\) −1.23145 + 2.02319i −0.0427958 + 0.0703106i
\(829\) −7.27338 7.27338i −0.252615 0.252615i 0.569427 0.822042i \(-0.307165\pi\)
−0.822042 + 0.569427i \(0.807165\pi\)
\(830\) −31.3553 + 4.41986i −1.08836 + 0.153416i
\(831\) 4.59363i 0.159351i
\(832\) 17.2804 + 19.8666i 0.599091 + 0.688751i
\(833\) 9.44340 + 9.44340i 0.327195 + 0.327195i
\(834\) −2.46498 20.5613i −0.0853554 0.711981i
\(835\) −0.314462 15.1724i −0.0108824 0.525063i
\(836\) 12.3948 3.01523i 0.428684 0.104284i
\(837\) 6.60915 0.228446
\(838\) −5.28939 44.1208i −0.182719 1.52413i
\(839\) 6.23853i 0.215378i −0.994185 0.107689i \(-0.965655\pi\)
0.994185 0.107689i \(-0.0343451\pi\)
\(840\) −1.18203 0.509157i −0.0407838 0.0175676i
\(841\) 13.6029i 0.469067i
\(842\) −5.46283 + 0.654909i −0.188262 + 0.0225696i
\(843\) −20.5117 −0.706462
\(844\) 9.22452 15.1553i 0.317521 0.521666i
\(845\) −3.35497 + 3.49699i −0.115415 + 0.120300i
\(846\) −16.9685 + 2.03426i −0.583390 + 0.0699394i
\(847\) 1.42115 + 1.42115i 0.0488312 + 0.0488312i
\(848\) 9.28845 + 17.9614i 0.318967 + 0.616798i
\(849\) 28.8990i 0.991811i
\(850\) −13.3959 + 2.17228i −0.459475 + 0.0745085i
\(851\) −8.39009 8.39009i −0.287609 0.287609i
\(852\) 25.6734 6.24544i 0.879556 0.213965i
\(853\) 32.1759i 1.10168i 0.834610 + 0.550841i \(0.185693\pi\)
−0.834610 + 0.550841i \(0.814307\pi\)
\(854\) 1.60109 + 1.25830i 0.0547882 + 0.0430580i
\(855\) −0.278797 13.4516i −0.00953465 0.460035i
\(856\) −1.63511 + 3.58937i −0.0558869 + 0.122682i
\(857\) 11.0467 + 11.0467i 0.377348 + 0.377348i 0.870145 0.492797i \(-0.164025\pi\)
−0.492797 + 0.870145i \(0.664025\pi\)
\(858\) 4.89890 0.587302i 0.167246 0.0200502i
\(859\) 1.75107 + 1.75107i 0.0597457 + 0.0597457i 0.736348 0.676603i \(-0.236548\pi\)
−0.676603 + 0.736348i \(0.736548\pi\)
\(860\) 16.1341 + 9.36773i 0.550168 + 0.319437i
\(861\) −0.248372 + 0.248372i −0.00846451 + 0.00846451i
\(862\) −5.92399 4.65566i −0.201772 0.158572i
\(863\) 4.70982 4.70982i 0.160324 0.160324i −0.622386 0.782710i \(-0.713837\pi\)
0.782710 + 0.622386i \(0.213837\pi\)
\(864\) 5.55631 + 1.06181i 0.189029 + 0.0361235i
\(865\) 19.8840 20.7256i 0.676075 0.704693i
\(866\) −6.72913 + 0.806718i −0.228665 + 0.0274134i
\(867\) −13.3166 −0.452257
\(868\) 1.39855 2.29772i 0.0474697 0.0779896i
\(869\) −7.46216 + 7.46216i −0.253136 + 0.253136i
\(870\) 9.91293 + 7.46353i 0.336080 + 0.253038i
\(871\) −14.0453 −0.475908
\(872\) −6.38093 17.0587i −0.216086 0.577679i
\(873\) −11.7668 + 11.7668i −0.398247 + 0.398247i
\(874\) −6.22680 + 7.92316i −0.210625 + 0.268005i
\(875\) −2.27076 + 0.141353i −0.0767658 + 0.00477860i
\(876\) 17.1895 28.2411i 0.580778 0.954179i
\(877\) 16.7655i 0.566130i 0.959101 + 0.283065i \(0.0913512\pi\)
−0.959101 + 0.283065i \(0.908649\pi\)
\(878\) −6.66932 5.24141i −0.225079 0.176889i
\(879\) −8.86723 −0.299084
\(880\) 4.52868 + 8.32958i 0.152662 + 0.280790i
\(881\) 50.5390 1.70270 0.851352 0.524595i \(-0.175783\pi\)
0.851352 + 0.524595i \(0.175783\pi\)
\(882\) −7.73741 6.08082i −0.260532 0.204752i
\(883\) 27.3039i 0.918848i −0.888217 0.459424i \(-0.848056\pi\)
0.888217 0.459424i \(-0.151944\pi\)
\(884\) −10.7916 6.56850i −0.362961 0.220922i
\(885\) −0.201978 9.74521i −0.00678943 0.327582i
\(886\) −11.6567 + 14.8324i −0.391615 + 0.498303i
\(887\) −2.95052 + 2.95052i −0.0990688 + 0.0990688i −0.754904 0.655835i \(-0.772317\pi\)
0.655835 + 0.754904i \(0.272317\pi\)
\(888\) −11.7481 + 25.7892i −0.394239 + 0.865429i
\(889\) 1.42329 0.0477355
\(890\) 2.54244 + 18.0366i 0.0852229 + 0.604587i
\(891\) 0.749545 0.749545i 0.0251107 0.0251107i
\(892\) −12.0806 7.35304i −0.404487 0.246198i
\(893\) −72.7126 −2.43324
\(894\) −0.963122 + 0.115463i −0.0322116 + 0.00386167i
\(895\) −0.227897 10.9957i −0.00761776 0.367547i
\(896\) 1.54490 1.70700i 0.0516115 0.0570269i
\(897\) −2.75611 + 2.75611i −0.0920238 + 0.0920238i
\(898\) 33.0464 + 25.9711i 1.10277 + 0.866668i
\(899\) −18.3379 + 18.3379i −0.611603 + 0.611603i
\(900\) 9.61034 2.76429i 0.320345 0.0921429i
\(901\) −6.86040 6.86040i −0.228553 0.228553i
\(902\) 2.56916 0.308002i 0.0855436 0.0102553i
\(903\) −0.600283 0.600283i −0.0199762 0.0199762i
\(904\) 16.0462 + 42.8976i 0.533689 + 1.42675i
\(905\) 51.5926 1.06931i 1.71500 0.0355449i
\(906\) 7.19749 + 5.65650i 0.239121 + 0.187925i
\(907\) 0.0410041i 0.00136152i 1.00000 0.000680760i \(0.000216693\pi\)
−1.00000 0.000680760i \(0.999783\pi\)
\(908\) 10.6665 + 43.8472i 0.353980 + 1.45512i
\(909\) 1.29314 + 1.29314i 0.0428907 + 0.0428907i
\(910\) −1.69204 1.27395i −0.0560904 0.0422310i
\(911\) 21.7776i 0.721525i −0.932658 0.360763i \(-0.882516\pi\)
0.932658 0.360763i \(-0.117484\pi\)
\(912\) 22.9345 + 7.29950i 0.759437 + 0.241711i
\(913\) −7.50552 7.50552i −0.248397 0.248397i
\(914\) 27.4918 3.29584i 0.909349 0.109017i
\(915\) −15.8189 + 0.327862i −0.522957 + 0.0108388i
\(916\) −16.5191 10.0547i −0.545808 0.332216i
\(917\) −3.66392 −0.120993
\(918\) −2.69488 + 0.323074i −0.0889441 + 0.0106630i
\(919\) 34.4842i 1.13753i 0.822500 + 0.568765i \(0.192579\pi\)
−0.822500 + 0.568765i \(0.807421\pi\)
\(920\) −6.87880 2.96304i −0.226787 0.0976885i
\(921\) 14.1518i 0.466317i
\(922\) −5.68417 47.4138i −0.187198 1.56149i
\(923\) 43.4818 1.43122
\(924\) −0.101975 0.419194i −0.00335474 0.0137905i
\(925\) 2.07571 + 50.0538i 0.0682490 + 1.64576i
\(926\) −2.51754 20.9997i −0.0827314 0.690093i
\(927\) 11.2892 + 11.2892i 0.370787 + 0.370787i
\(928\) −18.3628 + 12.4705i −0.602788 + 0.409365i
\(929\) 19.8125i 0.650028i −0.945709 0.325014i \(-0.894631\pi\)
0.945709 0.325014i \(-0.105369\pi\)
\(930\) 2.91723 + 20.6954i 0.0956599 + 0.678628i
\(931\) −29.6066 29.6066i −0.970316 0.970316i
\(932\) 7.51140 + 4.57194i 0.246044 + 0.149759i
\(933\) 7.15165i 0.234134i
\(934\) 26.2299 33.3756i 0.858267 1.09208i
\(935\) −3.28262 3.14931i −0.107353 0.102994i
\(936\) 8.47164 + 3.85919i 0.276904 + 0.126142i
\(937\) −20.7731 20.7731i −0.678628 0.678628i 0.281062 0.959690i \(-0.409313\pi\)
−0.959690 + 0.281062i \(0.909313\pi\)
\(938\) 0.146183 + 1.21937i 0.00477306 + 0.0398138i
\(939\) 5.98016 + 5.98016i 0.195155 + 0.195155i
\(940\) −13.8597 52.2360i −0.452054 1.70375i
\(941\) −24.6412 + 24.6412i −0.803279 + 0.803279i −0.983607 0.180328i \(-0.942284\pi\)
0.180328 + 0.983607i \(0.442284\pi\)
\(942\) −10.2646 + 13.0610i −0.334438 + 0.425549i
\(943\) −1.44540 + 1.44540i −0.0470687 + 0.0470687i
\(944\) 16.6152 + 5.28823i 0.540780 + 0.172117i
\(945\) −0.454934 + 0.00942893i −0.0147990 + 0.000306723i
\(946\) 0.744400 + 6.20931i 0.0242025 + 0.201882i
\(947\) −46.1706 −1.50034 −0.750171 0.661244i \(-0.770029\pi\)
−0.750171 + 0.661244i \(0.770029\pi\)
\(948\) −19.3469 + 4.70644i −0.628359 + 0.152858i
\(949\) 38.4718 38.4718i 1.24885 1.24885i
\(950\) 41.9982 6.81044i 1.36260 0.220960i
\(951\) 7.76996 0.251958
\(952\) −0.457937 + 1.00526i −0.0148418 + 0.0325806i
\(953\) −5.45044 + 5.45044i −0.176557 + 0.176557i −0.789853 0.613296i \(-0.789843\pi\)
0.613296 + 0.789853i \(0.289843\pi\)
\(954\) 5.62104 + 4.41757i 0.181988 + 0.143024i
\(955\) −34.7696 33.3576i −1.12512 1.07943i
\(956\) 5.23191 + 21.5070i 0.169212 + 0.695588i
\(957\) 4.15941i 0.134455i
\(958\) −19.1508 + 24.3680i −0.618733 + 0.787294i
\(959\) 1.74408 0.0563194
\(960\) −0.872350 + 17.8673i −0.0281550 + 0.576663i
\(961\) −12.6809 −0.409062
\(962\) −28.8171 + 36.6677i −0.929101 + 1.18221i
\(963\) 1.39451i 0.0449374i
\(964\) 11.0973 + 45.6182i 0.357420 + 1.46926i
\(965\) 35.7770 0.741512i 1.15170 0.0238701i
\(966\) 0.267962 + 0.210591i 0.00862153 + 0.00677565i
\(967\) −18.1852 + 18.1852i −0.584798 + 0.584798i −0.936218 0.351420i \(-0.885699\pi\)
0.351420 + 0.936218i \(0.385699\pi\)
\(968\) 11.5804 25.4211i 0.372208 0.817067i
\(969\) −11.5479 −0.370973
\(970\) −42.0396 31.6520i −1.34981 1.01628i
\(971\) −11.6265 + 11.6265i −0.373112 + 0.373112i −0.868609 0.495497i \(-0.834986\pi\)
0.495497 + 0.868609i \(0.334986\pi\)
\(972\) 1.94333 0.472743i 0.0623322 0.0151632i
\(973\) −2.97983 −0.0955290
\(974\) 1.34830 + 11.2467i 0.0432023 + 0.360366i
\(975\) 16.4424 0.681863i 0.526580 0.0218371i
\(976\) 8.58413 26.9707i 0.274771 0.863311i
\(977\) −8.35835 + 8.35835i −0.267407 + 0.267407i −0.828055 0.560647i \(-0.810552\pi\)
0.560647 + 0.828055i \(0.310552\pi\)
\(978\) −1.63536 + 2.08088i −0.0522932 + 0.0665393i
\(979\) −4.31741 + 4.31741i −0.137985 + 0.137985i
\(980\) 15.6258 26.9124i 0.499147 0.859684i
\(981\) −4.55325 4.55325i −0.145374 0.145374i
\(982\) 6.06453 + 50.5865i 0.193527 + 1.61428i
\(983\) −18.1290 18.1290i −0.578226 0.578226i 0.356188 0.934414i \(-0.384076\pi\)
−0.934414 + 0.356188i \(0.884076\pi\)
\(984\) 4.44283 + 2.02390i 0.141632 + 0.0645194i
\(985\) −36.0861 + 37.6136i −1.14980 + 1.19847i
\(986\) 6.58085 8.37367i 0.209577 0.266672i
\(987\) 2.45915i 0.0782755i
\(988\) 33.8334 + 20.5933i 1.07638 + 0.655160i
\(989\) −3.49334 3.49334i −0.111082 0.111082i
\(990\) 2.67791 + 2.01622i 0.0851096 + 0.0640798i
\(991\) 28.8183i 0.915444i 0.889095 + 0.457722i \(0.151334\pi\)
−0.889095 + 0.457722i \(0.848666\pi\)
\(992\) −36.7225 7.01766i −1.16594 0.222811i
\(993\) −0.751395 0.751395i −0.0238448 0.0238448i
\(994\) −0.452557 3.77494i −0.0143542 0.119734i
\(995\) −3.46903 3.32815i −0.109975 0.105509i
\(996\) −4.73379 19.4594i −0.149996 0.616594i
\(997\) −30.7058 −0.972463 −0.486232 0.873830i \(-0.661629\pi\)
−0.486232 + 0.873830i \(0.661629\pi\)
\(998\) 4.48057 + 37.3741i 0.141830 + 1.18306i
\(999\) 10.0194i 0.316998i
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 240.2.bc.e.43.5 yes 16
3.2 odd 2 720.2.bd.f.523.4 16
4.3 odd 2 960.2.bc.e.463.8 16
5.2 odd 4 240.2.y.e.187.7 yes 16
8.3 odd 2 1920.2.bc.j.1183.1 16
8.5 even 2 1920.2.bc.i.1183.1 16
15.2 even 4 720.2.z.f.667.2 16
16.3 odd 4 240.2.y.e.163.7 16
16.5 even 4 1920.2.y.j.223.5 16
16.11 odd 4 1920.2.y.i.223.5 16
16.13 even 4 960.2.y.e.943.4 16
20.7 even 4 960.2.y.e.847.4 16
40.27 even 4 1920.2.y.j.1567.5 16
40.37 odd 4 1920.2.y.i.1567.5 16
48.35 even 4 720.2.z.f.163.2 16
80.27 even 4 1920.2.bc.i.607.1 16
80.37 odd 4 1920.2.bc.j.607.1 16
80.67 even 4 inner 240.2.bc.e.67.5 yes 16
80.77 odd 4 960.2.bc.e.367.8 16
240.227 odd 4 720.2.bd.f.307.4 16
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
240.2.y.e.163.7 16 16.3 odd 4
240.2.y.e.187.7 yes 16 5.2 odd 4
240.2.bc.e.43.5 yes 16 1.1 even 1 trivial
240.2.bc.e.67.5 yes 16 80.67 even 4 inner
720.2.z.f.163.2 16 48.35 even 4
720.2.z.f.667.2 16 15.2 even 4
720.2.bd.f.307.4 16 240.227 odd 4
720.2.bd.f.523.4 16 3.2 odd 2
960.2.y.e.847.4 16 20.7 even 4
960.2.y.e.943.4 16 16.13 even 4
960.2.bc.e.367.8 16 80.77 odd 4
960.2.bc.e.463.8 16 4.3 odd 2
1920.2.y.i.223.5 16 16.11 odd 4
1920.2.y.i.1567.5 16 40.37 odd 4
1920.2.y.j.223.5 16 16.5 even 4
1920.2.y.j.1567.5 16 40.27 even 4
1920.2.bc.i.607.1 16 80.27 even 4
1920.2.bc.i.1183.1 16 8.5 even 2
1920.2.bc.j.607.1 16 80.37 odd 4
1920.2.bc.j.1183.1 16 8.3 odd 2