Properties

Label 350.2.h.c.71.2
Level $350$
Weight $2$
Character 350.71
Analytic conductor $2.795$
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] = [350,2,Mod(71,350)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(350, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([6, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("350.71");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 350.h (of order \(5\), 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: \(2.79476407074\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{16} + 25x^{14} + 241x^{12} + 1145x^{10} + 2841x^{8} + 3600x^{6} + 2156x^{4} + 480x^{2} + 16 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 5 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 71.2
Root \(-1.07895i\) of defining polynomial
Character \(\chi\) \(=\) 350.71
Dual form 350.2.h.c.281.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.309017 - 0.951057i) q^{2} +(-1.46563 - 1.06484i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.01402 + 1.99293i) q^{5} +(-1.46563 + 1.06484i) q^{6} -1.00000 q^{7} +(-0.809017 + 0.587785i) q^{8} +(0.0871311 + 0.268162i) q^{9} +O(q^{10})\) \(q+(0.309017 - 0.951057i) q^{2} +(-1.46563 - 1.06484i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.01402 + 1.99293i) q^{5} +(-1.46563 + 1.06484i) q^{6} -1.00000 q^{7} +(-0.809017 + 0.587785i) q^{8} +(0.0871311 + 0.268162i) q^{9} +(1.58203 + 1.58024i) q^{10} +(-1.36507 + 4.20127i) q^{11} +(0.559821 + 1.72295i) q^{12} +(1.38053 + 4.24883i) q^{13} +(-0.309017 + 0.951057i) q^{14} +(3.60834 - 1.84112i) q^{15} +(0.309017 + 0.951057i) q^{16} +(3.92400 - 2.85095i) q^{17} +0.281962 q^{18} +(-5.02687 + 3.65224i) q^{19} +(1.99178 - 1.01628i) q^{20} +(1.46563 + 1.06484i) q^{21} +(3.57381 + 2.59653i) q^{22} +(0.410005 - 1.26186i) q^{23} +1.81162 q^{24} +(-2.94351 - 4.04175i) q^{25} +4.46749 q^{26} +(-1.52161 + 4.68305i) q^{27} +(0.809017 + 0.587785i) q^{28} +(0.532068 + 0.386570i) q^{29} +(-0.635968 - 4.00067i) q^{30} +(-8.36383 + 6.07668i) q^{31} +1.00000 q^{32} +(6.47438 - 4.70391i) q^{33} +(-1.49884 - 4.61294i) q^{34} +(1.01402 - 1.99293i) q^{35} +(0.0871311 - 0.268162i) q^{36} +(-1.46346 - 4.50407i) q^{37} +(1.92009 + 5.90944i) q^{38} +(2.50099 - 7.69727i) q^{39} +(-0.351050 - 2.20834i) q^{40} +(3.30435 + 10.1697i) q^{41} +(1.46563 - 1.06484i) q^{42} +7.00599 q^{43} +(3.57381 - 2.59653i) q^{44} +(-0.622780 - 0.0982769i) q^{45} +(-1.07341 - 0.779875i) q^{46} +(-3.94687 - 2.86757i) q^{47} +(0.559821 - 1.72295i) q^{48} +1.00000 q^{49} +(-4.75353 + 1.55047i) q^{50} -8.78695 q^{51} +(1.38053 - 4.24883i) q^{52} +(-10.2187 - 7.42433i) q^{53} +(3.98364 + 2.89428i) q^{54} +(-6.98859 - 6.98068i) q^{55} +(0.809017 - 0.587785i) q^{56} +11.2566 q^{57} +(0.532068 - 0.386570i) q^{58} +(-2.67363 - 8.22858i) q^{59} +(-4.00139 - 0.631433i) q^{60} +(-4.77954 + 14.7099i) q^{61} +(3.19470 + 9.83227i) q^{62} +(-0.0871311 - 0.268162i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-9.86750 - 1.55713i) q^{65} +(-2.47299 - 7.61109i) q^{66} +(-6.27428 + 4.55853i) q^{67} -4.85033 q^{68} +(-1.94460 + 1.41284i) q^{69} +(-1.58203 - 1.58024i) q^{70} +(-5.75958 - 4.18458i) q^{71} +(-0.228112 - 0.165733i) q^{72} +(1.20089 - 3.69596i) q^{73} -4.73586 q^{74} +(0.0102670 + 9.05809i) q^{75} +6.21356 q^{76} +(1.36507 - 4.20127i) q^{77} +(-6.54769 - 4.75717i) q^{78} +(0.488238 + 0.354726i) q^{79} +(-2.20874 - 0.348546i) q^{80} +(7.90117 - 5.74054i) q^{81} +10.6931 q^{82} +(0.259547 - 0.188572i) q^{83} +(-0.559821 - 1.72295i) q^{84} +(1.70271 + 10.7112i) q^{85} +(2.16497 - 6.66309i) q^{86} +(-0.368179 - 1.13314i) q^{87} +(-1.36507 - 4.20127i) q^{88} +(2.65097 - 8.15886i) q^{89} +(-0.285916 + 0.561930i) q^{90} +(-1.38053 - 4.24883i) q^{91} +(-1.07341 + 0.779875i) q^{92} +18.7290 q^{93} +(-3.94687 + 2.86757i) q^{94} +(-2.18127 - 13.7216i) q^{95} +(-1.46563 - 1.06484i) q^{96} +(-4.26584 - 3.09932i) q^{97} +(0.309017 - 0.951057i) q^{98} -1.24556 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 4 q^{2} + q^{3} - 4 q^{4} - 4 q^{5} + q^{6} - 16 q^{7} - 4 q^{8} - q^{9} + q^{10} + 7 q^{11} - 4 q^{12} + 9 q^{13} + 4 q^{14} - 4 q^{16} - 2 q^{17} + 14 q^{18} - 24 q^{19} - 9 q^{20} - q^{21} - 8 q^{22} - 5 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 32 q^{27} + 4 q^{28} + 20 q^{29} + 15 q^{30} + 7 q^{31} + 16 q^{32} + 15 q^{33} + 3 q^{34} + 4 q^{35} - q^{36} - 6 q^{37} + 6 q^{38} + 34 q^{39} + 11 q^{40} + 9 q^{41} - q^{42} - 22 q^{43} - 8 q^{44} - 8 q^{45} - 40 q^{47} - 4 q^{48} + 16 q^{49} - q^{50} + 14 q^{51} + 9 q^{52} - 24 q^{53} + 23 q^{54} - 26 q^{55} + 4 q^{56} + 52 q^{57} + 20 q^{58} - 17 q^{59} - 5 q^{60} + 2 q^{61} - 23 q^{62} + q^{63} - 4 q^{64} - 16 q^{65} - 10 q^{66} - 14 q^{67} - 2 q^{68} - 35 q^{69} - q^{70} + 7 q^{71} - 6 q^{72} + 5 q^{73} - 36 q^{74} + 35 q^{75} + 36 q^{76} - 7 q^{77} - 46 q^{78} + 20 q^{79} + q^{80} + 49 q^{81} + 44 q^{82} + 17 q^{83} + 4 q^{84} - 13 q^{85} + 8 q^{86} - 66 q^{87} + 7 q^{88} + 27 q^{89} + 37 q^{90} - 9 q^{91} - 34 q^{93} - 40 q^{94} - 20 q^{95} + q^{96} + 6 q^{97} - 4 q^{98} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 0.951057i 0.218508 0.672499i
\(3\) −1.46563 1.06484i −0.846182 0.614787i 0.0779087 0.996961i \(-0.475176\pi\)
−0.924091 + 0.382173i \(0.875176\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −1.01402 + 1.99293i −0.453485 + 0.891264i
\(6\) −1.46563 + 1.06484i −0.598341 + 0.434720i
\(7\) −1.00000 −0.377964
\(8\) −0.809017 + 0.587785i −0.286031 + 0.207813i
\(9\) 0.0871311 + 0.268162i 0.0290437 + 0.0893873i
\(10\) 1.58203 + 1.58024i 0.500283 + 0.499717i
\(11\) −1.36507 + 4.20127i −0.411585 + 1.26673i 0.503684 + 0.863888i \(0.331977\pi\)
−0.915270 + 0.402842i \(0.868023\pi\)
\(12\) 0.559821 + 1.72295i 0.161606 + 0.497373i
\(13\) 1.38053 + 4.24883i 0.382890 + 1.17841i 0.937999 + 0.346637i \(0.112676\pi\)
−0.555109 + 0.831777i \(0.687324\pi\)
\(14\) −0.309017 + 0.951057i −0.0825883 + 0.254181i
\(15\) 3.60834 1.84112i 0.931669 0.475374i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 3.92400 2.85095i 0.951710 0.691458i 0.000499390 1.00000i \(-0.499841\pi\)
0.951211 + 0.308542i \(0.0998410\pi\)
\(18\) 0.281962 0.0664591
\(19\) −5.02687 + 3.65224i −1.15324 + 0.837881i −0.988909 0.148524i \(-0.952548\pi\)
−0.164335 + 0.986405i \(0.552548\pi\)
\(20\) 1.99178 1.01628i 0.445375 0.227248i
\(21\) 1.46563 + 1.06484i 0.319827 + 0.232368i
\(22\) 3.57381 + 2.59653i 0.761939 + 0.553581i
\(23\) 0.410005 1.26186i 0.0854919 0.263117i −0.899167 0.437605i \(-0.855827\pi\)
0.984659 + 0.174488i \(0.0558269\pi\)
\(24\) 1.81162 0.369795
\(25\) −2.94351 4.04175i −0.588702 0.808350i
\(26\) 4.46749 0.876147
\(27\) −1.52161 + 4.68305i −0.292835 + 0.901253i
\(28\) 0.809017 + 0.587785i 0.152890 + 0.111081i
\(29\) 0.532068 + 0.386570i 0.0988025 + 0.0717842i 0.636090 0.771615i \(-0.280551\pi\)
−0.537287 + 0.843399i \(0.680551\pi\)
\(30\) −0.635968 4.00067i −0.116111 0.730419i
\(31\) −8.36383 + 6.07668i −1.50219 + 1.09140i −0.532688 + 0.846312i \(0.678818\pi\)
−0.969500 + 0.245092i \(0.921182\pi\)
\(32\) 1.00000 0.176777
\(33\) 6.47438 4.70391i 1.12705 0.818846i
\(34\) −1.49884 4.61294i −0.257048 0.791113i
\(35\) 1.01402 1.99293i 0.171401 0.336866i
\(36\) 0.0871311 0.268162i 0.0145218 0.0446936i
\(37\) −1.46346 4.50407i −0.240591 0.740464i −0.996330 0.0855911i \(-0.972722\pi\)
0.755739 0.654873i \(-0.227278\pi\)
\(38\) 1.92009 + 5.90944i 0.311481 + 0.958639i
\(39\) 2.50099 7.69727i 0.400480 1.23255i
\(40\) −0.351050 2.20834i −0.0555058 0.349169i
\(41\) 3.30435 + 10.1697i 0.516053 + 1.58825i 0.781358 + 0.624083i \(0.214527\pi\)
−0.265306 + 0.964164i \(0.585473\pi\)
\(42\) 1.46563 1.06484i 0.226152 0.164309i
\(43\) 7.00599 1.06840 0.534202 0.845357i \(-0.320612\pi\)
0.534202 + 0.845357i \(0.320612\pi\)
\(44\) 3.57381 2.59653i 0.538772 0.391441i
\(45\) −0.622780 0.0982769i −0.0928385 0.0146503i
\(46\) −1.07341 0.779875i −0.158265 0.114986i
\(47\) −3.94687 2.86757i −0.575710 0.418278i 0.261465 0.965213i \(-0.415794\pi\)
−0.837175 + 0.546935i \(0.815794\pi\)
\(48\) 0.559821 1.72295i 0.0808032 0.248687i
\(49\) 1.00000 0.142857
\(50\) −4.75353 + 1.55047i −0.672250 + 0.219270i
\(51\) −8.78695 −1.23042
\(52\) 1.38053 4.24883i 0.191445 0.589207i
\(53\) −10.2187 7.42433i −1.40365 1.01981i −0.994208 0.107474i \(-0.965724\pi\)
−0.409441 0.912337i \(-0.634276\pi\)
\(54\) 3.98364 + 2.89428i 0.542105 + 0.393862i
\(55\) −6.98859 6.98068i −0.942342 0.941274i
\(56\) 0.809017 0.587785i 0.108109 0.0785461i
\(57\) 11.2566 1.49097
\(58\) 0.532068 0.386570i 0.0698639 0.0507591i
\(59\) −2.67363 8.22858i −0.348077 1.07127i −0.959916 0.280288i \(-0.909570\pi\)
0.611839 0.790982i \(-0.290430\pi\)
\(60\) −4.00139 0.631433i −0.516577 0.0815177i
\(61\) −4.77954 + 14.7099i −0.611957 + 1.88341i −0.172941 + 0.984932i \(0.555327\pi\)
−0.439017 + 0.898479i \(0.644673\pi\)
\(62\) 3.19470 + 9.83227i 0.405727 + 1.24870i
\(63\) −0.0871311 0.268162i −0.0109775 0.0337852i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) −9.86750 1.55713i −1.22391 0.193138i
\(66\) −2.47299 7.61109i −0.304404 0.936861i
\(67\) −6.27428 + 4.55853i −0.766525 + 0.556913i −0.900905 0.434017i \(-0.857096\pi\)
0.134380 + 0.990930i \(0.457096\pi\)
\(68\) −4.85033 −0.588189
\(69\) −1.94460 + 1.41284i −0.234103 + 0.170086i
\(70\) −1.58203 1.58024i −0.189089 0.188875i
\(71\) −5.75958 4.18458i −0.683537 0.496619i 0.190992 0.981592i \(-0.438829\pi\)
−0.874529 + 0.484973i \(0.838829\pi\)
\(72\) −0.228112 0.165733i −0.0268833 0.0195318i
\(73\) 1.20089 3.69596i 0.140554 0.432580i −0.855859 0.517210i \(-0.826971\pi\)
0.996412 + 0.0846299i \(0.0269708\pi\)
\(74\) −4.73586 −0.550532
\(75\) 0.0102670 + 9.05809i 0.00118553 + 1.04594i
\(76\) 6.21356 0.712744
\(77\) 1.36507 4.20127i 0.155565 0.478779i
\(78\) −6.54769 4.75717i −0.741380 0.538644i
\(79\) 0.488238 + 0.354726i 0.0549311 + 0.0399098i 0.614912 0.788596i \(-0.289192\pi\)
−0.559981 + 0.828506i \(0.689192\pi\)
\(80\) −2.20874 0.348546i −0.246944 0.0389687i
\(81\) 7.90117 5.74054i 0.877908 0.637837i
\(82\) 10.6931 1.18086
\(83\) 0.259547 0.188572i 0.0284890 0.0206984i −0.573450 0.819241i \(-0.694395\pi\)
0.601939 + 0.798542i \(0.294395\pi\)
\(84\) −0.559821 1.72295i −0.0610815 0.187989i
\(85\) 1.70271 + 10.7112i 0.184685 + 1.16179i
\(86\) 2.16497 6.66309i 0.233455 0.718500i
\(87\) −0.368179 1.13314i −0.0394729 0.121485i
\(88\) −1.36507 4.20127i −0.145517 0.447856i
\(89\) 2.65097 8.15886i 0.281003 0.864838i −0.706566 0.707648i \(-0.749756\pi\)
0.987568 0.157190i \(-0.0502435\pi\)
\(90\) −0.285916 + 0.561930i −0.0301382 + 0.0592326i
\(91\) −1.38053 4.24883i −0.144719 0.445399i
\(92\) −1.07341 + 0.779875i −0.111910 + 0.0813076i
\(93\) 18.7290 1.94211
\(94\) −3.94687 + 2.86757i −0.407089 + 0.295767i
\(95\) −2.18127 13.7216i −0.223793 1.40781i
\(96\) −1.46563 1.06484i −0.149585 0.108680i
\(97\) −4.26584 3.09932i −0.433131 0.314688i 0.349769 0.936836i \(-0.386260\pi\)
−0.782899 + 0.622148i \(0.786260\pi\)
\(98\) 0.309017 0.951057i 0.0312154 0.0960712i
\(99\) −1.24556 −0.125183
\(100\) 0.00566732 + 5.00000i 0.000566732 + 0.500000i
\(101\) 3.23948 0.322340 0.161170 0.986927i \(-0.448473\pi\)
0.161170 + 0.986927i \(0.448473\pi\)
\(102\) −2.71532 + 8.35689i −0.268857 + 0.827455i
\(103\) 8.00915 + 5.81899i 0.789165 + 0.573362i 0.907716 0.419586i \(-0.137825\pi\)
−0.118550 + 0.992948i \(0.537825\pi\)
\(104\) −3.61427 2.62592i −0.354409 0.257493i
\(105\) −3.60834 + 1.84112i −0.352138 + 0.179675i
\(106\) −10.2187 + 7.42433i −0.992530 + 0.721115i
\(107\) 8.66202 0.837389 0.418695 0.908127i \(-0.362488\pi\)
0.418695 + 0.908127i \(0.362488\pi\)
\(108\) 3.98364 2.89428i 0.383326 0.278503i
\(109\) 4.02196 + 12.3783i 0.385234 + 1.18563i 0.936310 + 0.351173i \(0.114217\pi\)
−0.551076 + 0.834455i \(0.685783\pi\)
\(110\) −8.79861 + 4.48940i −0.838915 + 0.428048i
\(111\) −2.65123 + 8.15965i −0.251644 + 0.774480i
\(112\) −0.309017 0.951057i −0.0291994 0.0898664i
\(113\) 2.90360 + 8.93635i 0.273147 + 0.840662i 0.989704 + 0.143132i \(0.0457174\pi\)
−0.716556 + 0.697529i \(0.754283\pi\)
\(114\) 3.47848 10.7057i 0.325789 1.00268i
\(115\) 2.09905 + 2.09667i 0.195737 + 0.195516i
\(116\) −0.203232 0.625483i −0.0188696 0.0580747i
\(117\) −1.01909 + 0.740411i −0.0942147 + 0.0684510i
\(118\) −8.65204 −0.796485
\(119\) −3.92400 + 2.85095i −0.359713 + 0.261347i
\(120\) −1.83703 + 3.61042i −0.167697 + 0.329585i
\(121\) −6.88802 5.00444i −0.626184 0.454949i
\(122\) 12.5130 + 9.09123i 1.13287 + 0.823081i
\(123\) 5.98622 18.4237i 0.539759 1.66121i
\(124\) 10.3383 0.928403
\(125\) 11.0397 1.76776i 0.987421 0.158114i
\(126\) −0.281962 −0.0251192
\(127\) −2.06971 + 6.36990i −0.183657 + 0.565237i −0.999923 0.0124390i \(-0.996040\pi\)
0.816266 + 0.577676i \(0.196040\pi\)
\(128\) −0.809017 0.587785i −0.0715077 0.0519534i
\(129\) −10.2682 7.46028i −0.904064 0.656841i
\(130\) −4.53014 + 8.90338i −0.397320 + 0.780878i
\(131\) 15.0029 10.9002i 1.31081 0.952356i 0.310808 0.950473i \(-0.399400\pi\)
0.999998 0.00188352i \(-0.000599543\pi\)
\(132\) −8.00278 −0.696552
\(133\) 5.02687 3.65224i 0.435885 0.316689i
\(134\) 2.39656 + 7.37586i 0.207031 + 0.637177i
\(135\) −7.79001 7.78119i −0.670458 0.669698i
\(136\) −1.49884 + 4.61294i −0.128524 + 0.395556i
\(137\) 2.34991 + 7.23229i 0.200767 + 0.617896i 0.999861 + 0.0166902i \(0.00531291\pi\)
−0.799094 + 0.601206i \(0.794687\pi\)
\(138\) 0.742772 + 2.28602i 0.0632290 + 0.194599i
\(139\) 3.15149 9.69929i 0.267306 0.822683i −0.723847 0.689960i \(-0.757628\pi\)
0.991153 0.132723i \(-0.0423720\pi\)
\(140\) −1.99178 + 1.01628i −0.168336 + 0.0858916i
\(141\) 2.73114 + 8.40559i 0.230004 + 0.707879i
\(142\) −5.75958 + 4.18458i −0.483333 + 0.351162i
\(143\) −19.7350 −1.65032
\(144\) −0.228112 + 0.165733i −0.0190093 + 0.0138111i
\(145\) −1.30993 + 0.668381i −0.108784 + 0.0555060i
\(146\) −3.14397 2.28423i −0.260197 0.189044i
\(147\) −1.46563 1.06484i −0.120883 0.0878267i
\(148\) −1.46346 + 4.50407i −0.120296 + 0.370232i
\(149\) 8.49844 0.696219 0.348110 0.937454i \(-0.386824\pi\)
0.348110 + 0.937454i \(0.386824\pi\)
\(150\) 8.61793 + 2.78934i 0.703651 + 0.227749i
\(151\) 10.9178 0.888480 0.444240 0.895908i \(-0.353474\pi\)
0.444240 + 0.895908i \(0.353474\pi\)
\(152\) 1.92009 5.90944i 0.155740 0.479319i
\(153\) 1.10642 + 0.803861i 0.0894487 + 0.0649883i
\(154\) −3.57381 2.59653i −0.287986 0.209234i
\(155\) −3.62924 22.8304i −0.291508 1.83378i
\(156\) −6.54769 + 4.75717i −0.524234 + 0.380879i
\(157\) −0.499409 −0.0398572 −0.0199286 0.999801i \(-0.506344\pi\)
−0.0199286 + 0.999801i \(0.506344\pi\)
\(158\) 0.488238 0.354726i 0.0388422 0.0282205i
\(159\) 7.07112 + 21.7627i 0.560776 + 1.72589i
\(160\) −1.01402 + 1.99293i −0.0801657 + 0.157555i
\(161\) −0.410005 + 1.26186i −0.0323129 + 0.0994489i
\(162\) −3.01798 9.28838i −0.237115 0.729764i
\(163\) 1.88397 + 5.79825i 0.147564 + 0.454154i 0.997332 0.0730024i \(-0.0232581\pi\)
−0.849768 + 0.527157i \(0.823258\pi\)
\(164\) 3.30435 10.1697i 0.258026 0.794123i
\(165\) 2.80937 + 17.6728i 0.218709 + 1.37583i
\(166\) −0.0991381 0.305116i −0.00769461 0.0236816i
\(167\) 2.50914 1.82300i 0.194163 0.141068i −0.486456 0.873705i \(-0.661711\pi\)
0.680619 + 0.732637i \(0.261711\pi\)
\(168\) −1.81162 −0.139769
\(169\) −5.62951 + 4.09008i −0.433039 + 0.314621i
\(170\) 10.7131 + 1.69057i 0.821658 + 0.129660i
\(171\) −1.41739 1.02979i −0.108390 0.0787502i
\(172\) −5.66797 4.11802i −0.432178 0.313996i
\(173\) −2.39803 + 7.38037i −0.182319 + 0.561119i −0.999892 0.0147057i \(-0.995319\pi\)
0.817573 + 0.575825i \(0.195319\pi\)
\(174\) −1.19145 −0.0903237
\(175\) 2.94351 + 4.04175i 0.222508 + 0.305528i
\(176\) −4.41747 −0.332980
\(177\) −4.84359 + 14.9070i −0.364067 + 1.12048i
\(178\) −6.94034 5.04245i −0.520201 0.377948i
\(179\) 6.89848 + 5.01204i 0.515616 + 0.374617i 0.814950 0.579531i \(-0.196764\pi\)
−0.299334 + 0.954149i \(0.596764\pi\)
\(180\) 0.446074 + 0.445568i 0.0332484 + 0.0332107i
\(181\) 4.36811 3.17361i 0.324679 0.235893i −0.413491 0.910508i \(-0.635691\pi\)
0.738169 + 0.674616i \(0.235691\pi\)
\(182\) −4.46749 −0.331152
\(183\) 22.6688 16.4698i 1.67572 1.21749i
\(184\) 0.410005 + 1.26186i 0.0302260 + 0.0930259i
\(185\) 10.4603 + 1.65067i 0.769053 + 0.121359i
\(186\) 5.78758 17.8123i 0.424366 1.30606i
\(187\) 6.62106 + 20.3775i 0.484180 + 1.49015i
\(188\) 1.50757 + 4.63982i 0.109951 + 0.338394i
\(189\) 1.52161 4.68305i 0.110681 0.340642i
\(190\) −13.7241 2.16571i −0.995652 0.157117i
\(191\) −4.11293 12.6583i −0.297601 0.915922i −0.982335 0.187129i \(-0.940082\pi\)
0.684734 0.728793i \(-0.259918\pi\)
\(192\) −1.46563 + 1.06484i −0.105773 + 0.0768484i
\(193\) −0.317645 −0.0228646 −0.0114323 0.999935i \(-0.503639\pi\)
−0.0114323 + 0.999935i \(0.503639\pi\)
\(194\) −4.26584 + 3.09932i −0.306270 + 0.222518i
\(195\) 12.8040 + 12.7895i 0.916915 + 0.915876i
\(196\) −0.809017 0.587785i −0.0577869 0.0419847i
\(197\) −2.15378 1.56481i −0.153450 0.111488i 0.508411 0.861115i \(-0.330233\pi\)
−0.661861 + 0.749627i \(0.730233\pi\)
\(198\) −0.384899 + 1.18460i −0.0273536 + 0.0841857i
\(199\) −14.2473 −1.00996 −0.504981 0.863130i \(-0.668501\pi\)
−0.504981 + 0.863130i \(0.668501\pi\)
\(200\) 4.75703 + 1.53969i 0.336373 + 0.108873i
\(201\) 14.0499 0.991003
\(202\) 1.00105 3.08093i 0.0704339 0.216773i
\(203\) −0.532068 0.386570i −0.0373438 0.0271319i
\(204\) 7.10879 + 5.16484i 0.497715 + 0.361611i
\(205\) −23.6182 3.72704i −1.64957 0.260308i
\(206\) 8.00915 5.81899i 0.558024 0.405428i
\(207\) 0.374108 0.0260023
\(208\) −3.61427 + 2.62592i −0.250605 + 0.182075i
\(209\) −8.48197 26.1048i −0.586710 1.80571i
\(210\) 0.635968 + 4.00067i 0.0438860 + 0.276072i
\(211\) 0.189643 0.583661i 0.0130555 0.0401808i −0.944317 0.329038i \(-0.893275\pi\)
0.957372 + 0.288858i \(0.0932754\pi\)
\(212\) 3.90320 + 12.0128i 0.268073 + 0.825044i
\(213\) 3.98550 + 12.2661i 0.273082 + 0.840459i
\(214\) 2.67671 8.23807i 0.182976 0.563143i
\(215\) −7.10425 + 13.9624i −0.484506 + 0.952229i
\(216\) −1.52161 4.68305i −0.103533 0.318641i
\(217\) 8.36383 6.07668i 0.567774 0.412512i
\(218\) 13.0153 0.881510
\(219\) −5.69568 + 4.13815i −0.384878 + 0.279631i
\(220\) 1.55075 + 9.75528i 0.104552 + 0.657701i
\(221\) 17.5304 + 12.7366i 1.17922 + 0.856757i
\(222\) 6.94101 + 5.04294i 0.465850 + 0.338460i
\(223\) −5.87680 + 18.0869i −0.393540 + 1.21119i 0.536553 + 0.843867i \(0.319726\pi\)
−0.930093 + 0.367325i \(0.880274\pi\)
\(224\) −1.00000 −0.0668153
\(225\) 0.827372 1.14150i 0.0551582 0.0760999i
\(226\) 9.39624 0.625029
\(227\) 3.07804 9.47324i 0.204297 0.628761i −0.795445 0.606026i \(-0.792763\pi\)
0.999742 0.0227350i \(-0.00723738\pi\)
\(228\) −9.10678 6.61646i −0.603111 0.438186i
\(229\) −9.92258 7.20918i −0.655703 0.476396i 0.209506 0.977807i \(-0.432814\pi\)
−0.865209 + 0.501412i \(0.832814\pi\)
\(230\) 2.64269 1.34841i 0.174254 0.0889113i
\(231\) −6.47438 + 4.70391i −0.425983 + 0.309495i
\(232\) −0.657672 −0.0431783
\(233\) −0.713296 + 0.518240i −0.0467296 + 0.0339510i −0.610905 0.791704i \(-0.709194\pi\)
0.564175 + 0.825655i \(0.309194\pi\)
\(234\) 0.389257 + 1.19801i 0.0254465 + 0.0783164i
\(235\) 9.71708 4.95804i 0.633872 0.323427i
\(236\) −2.67363 + 8.22858i −0.174038 + 0.535635i
\(237\) −0.337850 1.03979i −0.0219457 0.0675419i
\(238\) 1.49884 + 4.61294i 0.0971551 + 0.299013i
\(239\) −5.71983 + 17.6038i −0.369985 + 1.13870i 0.576815 + 0.816875i \(0.304295\pi\)
−0.946800 + 0.321822i \(0.895705\pi\)
\(240\) 2.86604 + 2.86280i 0.185002 + 0.184793i
\(241\) 7.37119 + 22.6862i 0.474820 + 1.46135i 0.846200 + 0.532865i \(0.178885\pi\)
−0.371380 + 0.928481i \(0.621115\pi\)
\(242\) −6.88802 + 5.00444i −0.442779 + 0.321698i
\(243\) −2.92082 −0.187371
\(244\) 12.5130 9.09123i 0.801063 0.582006i
\(245\) −1.01402 + 1.99293i −0.0647836 + 0.127323i
\(246\) −15.6721 11.3865i −0.999219 0.725975i
\(247\) −22.4575 16.3163i −1.42894 1.03818i
\(248\) 3.19470 9.83227i 0.202864 0.624350i
\(249\) −0.581199 −0.0368320
\(250\) 1.73021 11.0456i 0.109428 0.698588i
\(251\) −3.26799 −0.206274 −0.103137 0.994667i \(-0.532888\pi\)
−0.103137 + 0.994667i \(0.532888\pi\)
\(252\) −0.0871311 + 0.268162i −0.00548874 + 0.0168926i
\(253\) 4.74174 + 3.44508i 0.298111 + 0.216590i
\(254\) 5.41856 + 3.93682i 0.339991 + 0.247018i
\(255\) 8.91018 17.5117i 0.557977 1.09663i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −26.2282 −1.63607 −0.818036 0.575167i \(-0.804937\pi\)
−0.818036 + 0.575167i \(0.804937\pi\)
\(258\) −10.2682 + 7.46028i −0.639270 + 0.464457i
\(259\) 1.46346 + 4.50407i 0.0909350 + 0.279869i
\(260\) 7.06772 + 7.05972i 0.438322 + 0.437825i
\(261\) −0.0573037 + 0.176363i −0.00354701 + 0.0109166i
\(262\) −5.73058 17.6369i −0.354037 1.08961i
\(263\) −0.387903 1.19384i −0.0239192 0.0736156i 0.938384 0.345593i \(-0.112322\pi\)
−0.962304 + 0.271978i \(0.912322\pi\)
\(264\) −2.47299 + 7.61109i −0.152202 + 0.468430i
\(265\) 25.1582 12.8367i 1.54545 0.788552i
\(266\) −1.92009 5.90944i −0.117729 0.362331i
\(267\) −12.5733 + 9.13500i −0.769471 + 0.559053i
\(268\) 7.75543 0.473738
\(269\) −25.7245 + 18.6899i −1.56845 + 1.13955i −0.639827 + 0.768519i \(0.720994\pi\)
−0.928622 + 0.371026i \(0.879006\pi\)
\(270\) −9.80760 + 5.00422i −0.596871 + 0.304547i
\(271\) −5.00136 3.63370i −0.303811 0.220732i 0.425425 0.904994i \(-0.360125\pi\)
−0.729236 + 0.684262i \(0.760125\pi\)
\(272\) 3.92400 + 2.85095i 0.237928 + 0.172864i
\(273\) −2.50099 + 7.69727i −0.151367 + 0.465860i
\(274\) 7.60448 0.459403
\(275\) 20.9986 6.84918i 1.26626 0.413021i
\(276\) 2.40366 0.144683
\(277\) 2.52523 7.77186i 0.151726 0.466966i −0.846088 0.533043i \(-0.821048\pi\)
0.997815 + 0.0660771i \(0.0210483\pi\)
\(278\) −8.25071 5.99449i −0.494844 0.359526i
\(279\) −2.35828 1.71339i −0.141187 0.102578i
\(280\) 0.351050 + 2.20834i 0.0209792 + 0.131974i
\(281\) 9.61268 6.98402i 0.573445 0.416632i −0.262910 0.964820i \(-0.584682\pi\)
0.836355 + 0.548188i \(0.184682\pi\)
\(282\) 8.83816 0.526305
\(283\) −14.5455 + 10.5680i −0.864643 + 0.628200i −0.929144 0.369718i \(-0.879454\pi\)
0.0645014 + 0.997918i \(0.479454\pi\)
\(284\) 2.19997 + 6.77080i 0.130544 + 0.401773i
\(285\) −11.4145 + 22.4336i −0.676134 + 1.32885i
\(286\) −6.09845 + 18.7691i −0.360609 + 1.10984i
\(287\) −3.30435 10.1697i −0.195050 0.600301i
\(288\) 0.0871311 + 0.268162i 0.00513425 + 0.0158016i
\(289\) 2.01656 6.20633i 0.118621 0.365078i
\(290\) 0.230876 + 1.45236i 0.0135575 + 0.0852857i
\(291\) 2.95186 + 9.08490i 0.173041 + 0.532566i
\(292\) −3.14397 + 2.28423i −0.183987 + 0.133674i
\(293\) 10.7031 0.625282 0.312641 0.949871i \(-0.398786\pi\)
0.312641 + 0.949871i \(0.398786\pi\)
\(294\) −1.46563 + 1.06484i −0.0854773 + 0.0621029i
\(295\) 19.1101 + 3.01564i 1.11263 + 0.175577i
\(296\) 3.83139 + 2.78367i 0.222695 + 0.161797i
\(297\) −17.5976 12.7854i −1.02112 0.741885i
\(298\) 2.62616 8.08250i 0.152129 0.468206i
\(299\) 5.92748 0.342795
\(300\) 5.31590 7.33418i 0.306914 0.423439i
\(301\) −7.00599 −0.403819
\(302\) 3.37379 10.3835i 0.194140 0.597501i
\(303\) −4.74788 3.44954i −0.272758 0.198171i
\(304\) −5.02687 3.65224i −0.288311 0.209470i
\(305\) −24.4692 24.4415i −1.40110 1.39951i
\(306\) 1.10642 0.803861i 0.0632498 0.0459537i
\(307\) −0.138999 −0.00793311 −0.00396656 0.999992i \(-0.501263\pi\)
−0.00396656 + 0.999992i \(0.501263\pi\)
\(308\) −3.57381 + 2.59653i −0.203637 + 0.147951i
\(309\) −5.54215 17.0570i −0.315282 0.970337i
\(310\) −22.8345 3.60336i −1.29691 0.204657i
\(311\) 2.42772 7.47176i 0.137664 0.423685i −0.858331 0.513096i \(-0.828499\pi\)
0.995995 + 0.0894111i \(0.0284985\pi\)
\(312\) 2.50099 + 7.69727i 0.141591 + 0.435772i
\(313\) −5.33850 16.4302i −0.301750 0.928691i −0.980870 0.194664i \(-0.937638\pi\)
0.679120 0.734027i \(-0.262362\pi\)
\(314\) −0.154326 + 0.474966i −0.00870911 + 0.0268039i
\(315\) 0.622780 + 0.0982769i 0.0350897 + 0.00553727i
\(316\) −0.186490 0.573959i −0.0104909 0.0322877i
\(317\) 13.4190 9.74946i 0.753685 0.547584i −0.143282 0.989682i \(-0.545766\pi\)
0.896967 + 0.442098i \(0.145766\pi\)
\(318\) 22.8826 1.28319
\(319\) −2.35039 + 1.70766i −0.131597 + 0.0956107i
\(320\) 1.58203 + 1.58024i 0.0884384 + 0.0883382i
\(321\) −12.6953 9.22369i −0.708584 0.514816i
\(322\) 1.07341 + 0.779875i 0.0598186 + 0.0434608i
\(323\) −9.31310 + 28.6628i −0.518195 + 1.59484i
\(324\) −9.76638 −0.542577
\(325\) 13.1091 18.0862i 0.727164 1.00324i
\(326\) 6.09665 0.337662
\(327\) 7.28626 22.4248i 0.402931 1.24009i
\(328\) −8.65090 6.28525i −0.477666 0.347045i
\(329\) 3.94687 + 2.86757i 0.217598 + 0.158094i
\(330\) 17.6760 + 2.78934i 0.973033 + 0.153548i
\(331\) −26.4274 + 19.2006i −1.45258 + 1.05536i −0.467358 + 0.884068i \(0.654794\pi\)
−0.985220 + 0.171292i \(0.945206\pi\)
\(332\) −0.320818 −0.0176071
\(333\) 1.08031 0.784888i 0.0592004 0.0430116i
\(334\) −0.958405 2.94967i −0.0524416 0.161399i
\(335\) −2.72254 17.1266i −0.148748 0.935728i
\(336\) −0.559821 + 1.72295i −0.0305407 + 0.0939947i
\(337\) −6.04992 18.6198i −0.329560 1.01428i −0.969340 0.245724i \(-0.920974\pi\)
0.639780 0.768559i \(-0.279026\pi\)
\(338\) 2.15028 + 6.61788i 0.116960 + 0.359965i
\(339\) 5.26021 16.1893i 0.285695 0.879280i
\(340\) 4.91835 9.66635i 0.266735 0.524232i
\(341\) −14.1125 43.4338i −0.764234 2.35207i
\(342\) −1.41739 + 1.02979i −0.0766436 + 0.0556848i
\(343\) −1.00000 −0.0539949
\(344\) −5.66797 + 4.11802i −0.305596 + 0.222029i
\(345\) −0.843805 5.30810i −0.0454289 0.285779i
\(346\) 6.27811 + 4.56132i 0.337514 + 0.245218i
\(347\) 19.6148 + 14.2510i 1.05298 + 0.765034i 0.972777 0.231745i \(-0.0744434\pi\)
0.0802021 + 0.996779i \(0.474443\pi\)
\(348\) −0.368179 + 1.13314i −0.0197364 + 0.0607425i
\(349\) 3.52016 0.188430 0.0942149 0.995552i \(-0.469966\pi\)
0.0942149 + 0.995552i \(0.469966\pi\)
\(350\) 4.75353 1.55047i 0.254087 0.0828763i
\(351\) −21.9981 −1.17417
\(352\) −1.36507 + 4.20127i −0.0727587 + 0.223928i
\(353\) −3.45290 2.50868i −0.183779 0.133524i 0.492092 0.870543i \(-0.336232\pi\)
−0.675871 + 0.737020i \(0.736232\pi\)
\(354\) 12.6807 + 9.21306i 0.673971 + 0.489669i
\(355\) 14.1799 7.23516i 0.752592 0.384002i
\(356\) −6.94034 + 5.04245i −0.367837 + 0.267250i
\(357\) 8.78695 0.465055
\(358\) 6.89848 5.01204i 0.364596 0.264894i
\(359\) 7.70781 + 23.7222i 0.406803 + 1.25201i 0.919381 + 0.393369i \(0.128691\pi\)
−0.512578 + 0.858641i \(0.671309\pi\)
\(360\) 0.561605 0.286553i 0.0295992 0.0151027i
\(361\) 6.05930 18.6486i 0.318910 0.981505i
\(362\) −1.66847 5.13502i −0.0876927 0.269890i
\(363\) 4.76635 + 14.6693i 0.250168 + 0.769939i
\(364\) −1.38053 + 4.24883i −0.0723594 + 0.222699i
\(365\) 6.14805 + 6.14108i 0.321803 + 0.321439i
\(366\) −8.65870 26.6488i −0.452598 1.39295i
\(367\) −4.97568 + 3.61505i −0.259729 + 0.188704i −0.710027 0.704174i \(-0.751317\pi\)
0.450299 + 0.892878i \(0.351317\pi\)
\(368\) 1.32680 0.0691644
\(369\) −2.43923 + 1.77220i −0.126981 + 0.0922571i
\(370\) 4.80227 9.43821i 0.249658 0.490669i
\(371\) 10.2187 + 7.42433i 0.530529 + 0.385452i
\(372\) −15.1521 11.0086i −0.785598 0.570770i
\(373\) −8.33826 + 25.6625i −0.431739 + 1.32876i 0.464653 + 0.885493i \(0.346179\pi\)
−0.896392 + 0.443263i \(0.853821\pi\)
\(374\) 21.4262 1.10792
\(375\) −18.0625 9.16466i −0.932744 0.473261i
\(376\) 4.87860 0.251595
\(377\) −0.907936 + 2.79434i −0.0467611 + 0.143916i
\(378\) −3.98364 2.89428i −0.204896 0.148866i
\(379\) −14.2440 10.3489i −0.731665 0.531585i 0.158425 0.987371i \(-0.449358\pi\)
−0.890090 + 0.455786i \(0.849358\pi\)
\(380\) −6.30070 + 12.3832i −0.323219 + 0.635243i
\(381\) 9.81637 7.13201i 0.502908 0.365384i
\(382\) −13.3097 −0.680984
\(383\) 29.1723 21.1949i 1.49063 1.08301i 0.516702 0.856166i \(-0.327160\pi\)
0.973931 0.226843i \(-0.0728403\pi\)
\(384\) 0.559821 + 1.72295i 0.0285682 + 0.0879240i
\(385\) 6.98859 + 6.98068i 0.356172 + 0.355768i
\(386\) −0.0981576 + 0.302098i −0.00499609 + 0.0153764i
\(387\) 0.610440 + 1.87874i 0.0310304 + 0.0955017i
\(388\) 1.62941 + 5.01480i 0.0827206 + 0.254588i
\(389\) −4.16549 + 12.8201i −0.211199 + 0.650004i 0.788203 + 0.615416i \(0.211012\pi\)
−0.999402 + 0.0345878i \(0.988988\pi\)
\(390\) 16.1202 8.22517i 0.816278 0.416498i
\(391\) −1.98866 6.12046i −0.100571 0.309525i
\(392\) −0.809017 + 0.587785i −0.0408615 + 0.0296876i
\(393\) −33.5957 −1.69468
\(394\) −2.15378 + 1.56481i −0.108506 + 0.0788340i
\(395\) −1.20203 + 0.613322i −0.0604806 + 0.0308596i
\(396\) 1.00768 + 0.732122i 0.0506378 + 0.0367905i
\(397\) −15.2957 11.1130i −0.767672 0.557746i 0.133582 0.991038i \(-0.457352\pi\)
−0.901254 + 0.433292i \(0.857352\pi\)
\(398\) −4.40265 + 13.5500i −0.220685 + 0.679198i
\(399\) −11.2566 −0.563535
\(400\) 2.93434 4.04841i 0.146717 0.202421i
\(401\) 16.5774 0.827837 0.413918 0.910314i \(-0.364160\pi\)
0.413918 + 0.910314i \(0.364160\pi\)
\(402\) 4.34165 13.3622i 0.216542 0.666448i
\(403\) −37.3653 27.1475i −1.86130 1.35231i
\(404\) −2.62079 1.90412i −0.130389 0.0947334i
\(405\) 3.42849 + 21.5675i 0.170363 + 1.07170i
\(406\) −0.532068 + 0.386570i −0.0264061 + 0.0191851i
\(407\) 20.9205 1.03699
\(408\) 7.10879 5.16484i 0.351938 0.255698i
\(409\) 9.32229 + 28.6910i 0.460957 + 1.41868i 0.863996 + 0.503498i \(0.167954\pi\)
−0.403039 + 0.915183i \(0.632046\pi\)
\(410\) −10.8431 + 21.3106i −0.535501 + 1.05245i
\(411\) 4.25715 13.1022i 0.209990 0.646282i
\(412\) −3.05922 9.41532i −0.150717 0.463860i
\(413\) 2.67363 + 8.22858i 0.131561 + 0.404902i
\(414\) 0.115606 0.355798i 0.00568172 0.0174865i
\(415\) 0.112623 + 0.708474i 0.00552844 + 0.0347776i
\(416\) 1.38053 + 4.24883i 0.0676860 + 0.208316i
\(417\) −14.9471 + 10.8597i −0.731964 + 0.531803i
\(418\) −27.4482 −1.34254
\(419\) 0.636540 0.462474i 0.0310970 0.0225933i −0.572128 0.820164i \(-0.693882\pi\)
0.603225 + 0.797571i \(0.293882\pi\)
\(420\) 4.00139 + 0.631433i 0.195248 + 0.0308108i
\(421\) 12.1996 + 8.86355i 0.594573 + 0.431983i 0.843949 0.536424i \(-0.180225\pi\)
−0.249375 + 0.968407i \(0.580225\pi\)
\(422\) −0.496491 0.360722i −0.0241688 0.0175597i
\(423\) 0.425078 1.30825i 0.0206680 0.0636095i
\(424\) 12.6310 0.613417
\(425\) −23.0732 7.46803i −1.11921 0.362253i
\(426\) 12.8973 0.624878
\(427\) 4.77954 14.7099i 0.231298 0.711863i
\(428\) −7.00772 5.09141i −0.338731 0.246103i
\(429\) 28.9242 + 21.0147i 1.39647 + 1.01460i
\(430\) 11.0837 + 11.0712i 0.534504 + 0.533899i
\(431\) 31.2027 22.6701i 1.50298 1.09198i 0.533805 0.845608i \(-0.320762\pi\)
0.969175 0.246371i \(-0.0792383\pi\)
\(432\) −4.92405 −0.236908
\(433\) 31.4982 22.8848i 1.51371 1.09977i 0.549207 0.835686i \(-0.314930\pi\)
0.964499 0.264086i \(-0.0850702\pi\)
\(434\) −3.19470 9.83227i −0.153350 0.471964i
\(435\) 2.63160 + 0.415276i 0.126176 + 0.0199110i
\(436\) 4.02196 12.3783i 0.192617 0.592814i
\(437\) 2.54759 + 7.84067i 0.121868 + 0.375070i
\(438\) 2.17556 + 6.69567i 0.103952 + 0.319932i
\(439\) −8.50293 + 26.1693i −0.405823 + 1.24899i 0.514384 + 0.857560i \(0.328021\pi\)
−0.920206 + 0.391434i \(0.871979\pi\)
\(440\) 9.75703 + 1.53969i 0.465148 + 0.0734020i
\(441\) 0.0871311 + 0.268162i 0.00414910 + 0.0127696i
\(442\) 17.5304 12.7366i 0.833838 0.605818i
\(443\) −30.3177 −1.44044 −0.720220 0.693746i \(-0.755959\pi\)
−0.720220 + 0.693746i \(0.755959\pi\)
\(444\) 6.94101 5.04294i 0.329406 0.239327i
\(445\) 13.5719 + 13.5565i 0.643368 + 0.642639i
\(446\) 15.3857 + 11.1783i 0.728533 + 0.529310i
\(447\) −12.4556 9.04950i −0.589128 0.428027i
\(448\) −0.309017 + 0.951057i −0.0145997 + 0.0449332i
\(449\) −5.84521 −0.275853 −0.137926 0.990442i \(-0.544044\pi\)
−0.137926 + 0.990442i \(0.544044\pi\)
\(450\) −0.829958 1.13962i −0.0391246 0.0537222i
\(451\) −47.2365 −2.22428
\(452\) 2.90360 8.93635i 0.136574 0.420331i
\(453\) −16.0015 11.6258i −0.751816 0.546226i
\(454\) −8.05842 5.85479i −0.378200 0.274779i
\(455\) 9.86750 + 1.55713i 0.462596 + 0.0729992i
\(456\) −9.10678 + 6.61646i −0.426464 + 0.309844i
\(457\) −15.7534 −0.736912 −0.368456 0.929645i \(-0.620113\pi\)
−0.368456 + 0.929645i \(0.620113\pi\)
\(458\) −9.92258 + 7.20918i −0.463652 + 0.336863i
\(459\) 7.38034 + 22.7143i 0.344485 + 1.06021i
\(460\) −0.465774 2.93003i −0.0217168 0.136613i
\(461\) −6.33237 + 19.4890i −0.294928 + 0.907695i 0.688318 + 0.725409i \(0.258350\pi\)
−0.983246 + 0.182286i \(0.941650\pi\)
\(462\) 2.47299 + 7.61109i 0.115054 + 0.354100i
\(463\) 6.67794 + 20.5526i 0.310350 + 0.955160i 0.977626 + 0.210350i \(0.0674602\pi\)
−0.667276 + 0.744811i \(0.732540\pi\)
\(464\) −0.203232 + 0.625483i −0.00943480 + 0.0290373i
\(465\) −18.9916 + 37.3255i −0.880717 + 1.73093i
\(466\) 0.272455 + 0.838530i 0.0126212 + 0.0388441i
\(467\) 5.06579 3.68051i 0.234417 0.170314i −0.464375 0.885638i \(-0.653721\pi\)
0.698792 + 0.715325i \(0.253721\pi\)
\(468\) 1.25966 0.0582279
\(469\) 6.27428 4.55853i 0.289719 0.210493i
\(470\) −1.71263 10.7736i −0.0789978 0.496949i
\(471\) 0.731949 + 0.531792i 0.0337264 + 0.0245037i
\(472\) 6.99965 + 5.08554i 0.322185 + 0.234081i
\(473\) −9.56370 + 29.4340i −0.439739 + 1.35338i
\(474\) −1.09330 −0.0502171
\(475\) 29.5581 + 9.56698i 1.35622 + 0.438963i
\(476\) 4.85033 0.222315
\(477\) 1.10056 3.38716i 0.0503910 0.155087i
\(478\) 14.9747 + 10.8798i 0.684927 + 0.497629i
\(479\) 10.3531 + 7.52197i 0.473046 + 0.343688i 0.798627 0.601826i \(-0.205560\pi\)
−0.325582 + 0.945514i \(0.605560\pi\)
\(480\) 3.60834 1.84112i 0.164697 0.0840351i
\(481\) 17.1167 12.4360i 0.780454 0.567033i
\(482\) 23.8537 1.08650
\(483\) 1.94460 1.41284i 0.0884825 0.0642863i
\(484\) 2.63099 + 8.09735i 0.119590 + 0.368062i
\(485\) 10.5024 5.35873i 0.476888 0.243327i
\(486\) −0.902582 + 2.77786i −0.0409420 + 0.126006i
\(487\) 4.16204 + 12.8094i 0.188600 + 0.580451i 0.999992 0.00405176i \(-0.00128972\pi\)
−0.811392 + 0.584502i \(0.801290\pi\)
\(488\) −4.77954 14.7099i −0.216360 0.665886i
\(489\) 3.41303 10.5042i 0.154343 0.475018i
\(490\) 1.58203 + 1.58024i 0.0714690 + 0.0713881i
\(491\) 4.67945 + 14.4019i 0.211181 + 0.649947i 0.999403 + 0.0345564i \(0.0110018\pi\)
−0.788222 + 0.615391i \(0.788998\pi\)
\(492\) −15.6721 + 11.3865i −0.706554 + 0.513342i
\(493\) 3.18993 0.143667
\(494\) −22.4575 + 16.3163i −1.01041 + 0.734106i
\(495\) 1.26303 2.48231i 0.0567689 0.111571i
\(496\) −8.36383 6.07668i −0.375547 0.272851i
\(497\) 5.75958 + 4.18458i 0.258353 + 0.187704i
\(498\) −0.179600 + 0.552753i −0.00804809 + 0.0247695i
\(499\) 37.6839 1.68696 0.843481 0.537160i \(-0.180503\pi\)
0.843481 + 0.537160i \(0.180503\pi\)
\(500\) −9.97037 5.05882i −0.445889 0.226237i
\(501\) −5.61867 −0.251024
\(502\) −1.00987 + 3.10805i −0.0450725 + 0.138719i
\(503\) −19.3076 14.0278i −0.860884 0.625469i 0.0672412 0.997737i \(-0.478580\pi\)
−0.928125 + 0.372268i \(0.878580\pi\)
\(504\) 0.228112 + 0.165733i 0.0101609 + 0.00738234i
\(505\) −3.28491 + 6.45604i −0.146177 + 0.287290i
\(506\) 4.74174 3.44508i 0.210796 0.153152i
\(507\) 12.6061 0.559855
\(508\) 5.41856 3.93682i 0.240410 0.174668i
\(509\) −0.255827 0.787353i −0.0113393 0.0348988i 0.945227 0.326414i \(-0.105840\pi\)
−0.956566 + 0.291516i \(0.905840\pi\)
\(510\) −13.9013 13.8855i −0.615558 0.614861i
\(511\) −1.20089 + 3.69596i −0.0531243 + 0.163500i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −9.45464 29.0984i −0.417433 1.28473i
\(514\) −8.10497 + 24.9445i −0.357495 + 1.10026i
\(515\) −19.7183 + 10.0611i −0.868892 + 0.443343i
\(516\) 3.92210 + 12.0710i 0.172661 + 0.531395i
\(517\) 17.4352 12.6674i 0.766799 0.557112i
\(518\) 4.73586 0.208082
\(519\) 11.3735 8.26337i 0.499243 0.362722i
\(520\) 8.89823 4.54023i 0.390213 0.199102i
\(521\) 22.0096 + 15.9909i 0.964257 + 0.700574i 0.954136 0.299375i \(-0.0967782\pi\)
0.0101215 + 0.999949i \(0.496778\pi\)
\(522\) 0.150023 + 0.108998i 0.00656633 + 0.00477071i
\(523\) 2.92049 8.98834i 0.127704 0.393033i −0.866680 0.498864i \(-0.833751\pi\)
0.994384 + 0.105832i \(0.0337505\pi\)
\(524\) −18.5446 −0.810123
\(525\) −0.0102670 9.05809i −0.000448090 0.395327i
\(526\) −1.25528 −0.0547329
\(527\) −15.4953 + 47.6898i −0.674988 + 2.07740i
\(528\) 6.47438 + 4.70391i 0.281761 + 0.204712i
\(529\) 17.1832 + 12.4843i 0.747095 + 0.542796i
\(530\) −4.43412 27.8936i −0.192606 1.21162i
\(531\) 1.97364 1.43393i 0.0856485 0.0622273i
\(532\) −6.21356 −0.269392
\(533\) −38.6478 + 28.0793i −1.67402 + 1.21625i
\(534\) 4.80256 + 14.7807i 0.207827 + 0.639625i
\(535\) −8.78350 + 17.2628i −0.379744 + 0.746335i
\(536\) 2.39656 7.37586i 0.103516 0.318588i
\(537\) −4.77359 14.6916i −0.205995 0.633989i
\(538\) 9.82588 + 30.2409i 0.423624 + 1.30378i
\(539\) −1.36507 + 4.20127i −0.0587979 + 0.180961i
\(540\) 1.72859 + 10.8740i 0.0743865 + 0.467941i
\(541\) 8.58974 + 26.4365i 0.369302 + 1.13659i 0.947243 + 0.320516i \(0.103856\pi\)
−0.577941 + 0.816078i \(0.696144\pi\)
\(542\) −5.00136 + 3.63370i −0.214827 + 0.156081i
\(543\) −9.78143 −0.419761
\(544\) 3.92400 2.85095i 0.168240 0.122234i
\(545\) −28.7474 4.53645i −1.23141 0.194320i
\(546\) 6.54769 + 4.75717i 0.280215 + 0.203588i
\(547\) 10.6834 + 7.76195i 0.456790 + 0.331877i 0.792271 0.610170i \(-0.208899\pi\)
−0.335481 + 0.942047i \(0.608899\pi\)
\(548\) 2.34991 7.23229i 0.100383 0.308948i
\(549\) −4.36108 −0.186127
\(550\) −0.0250352 22.0873i −0.00106751 0.941808i
\(551\) −4.08648 −0.174090
\(552\) 0.742772 2.28602i 0.0316145 0.0972994i
\(553\) −0.488238 0.354726i −0.0207620 0.0150845i
\(554\) −6.61114 4.80328i −0.280881 0.204072i
\(555\) −13.5732 13.5578i −0.576149 0.575496i
\(556\) −8.25071 + 5.99449i −0.349908 + 0.254223i
\(557\) −38.2589 −1.62108 −0.810541 0.585681i \(-0.800827\pi\)
−0.810541 + 0.585681i \(0.800827\pi\)
\(558\) −2.35828 + 1.71339i −0.0998341 + 0.0725337i
\(559\) 9.67198 + 29.7673i 0.409081 + 1.25902i
\(560\) 2.20874 + 0.348546i 0.0933361 + 0.0147288i
\(561\) 11.9948 36.9163i 0.506423 1.55861i
\(562\) −3.67172 11.3004i −0.154882 0.476678i
\(563\) 4.03266 + 12.4112i 0.169956 + 0.523072i 0.999367 0.0355672i \(-0.0113238\pi\)
−0.829411 + 0.558639i \(0.811324\pi\)
\(564\) 2.73114 8.40559i 0.115002 0.353939i
\(565\) −20.7538 3.27503i −0.873119 0.137781i
\(566\) 5.55590 + 17.0993i 0.233532 + 0.718738i
\(567\) −7.90117 + 5.74054i −0.331818 + 0.241080i
\(568\) 7.11924 0.298717
\(569\) 4.13414 3.00363i 0.173312 0.125919i −0.497748 0.867322i \(-0.665839\pi\)
0.671060 + 0.741403i \(0.265839\pi\)
\(570\) 17.8083 + 17.7882i 0.745909 + 0.745064i
\(571\) −8.67931 6.30589i −0.363218 0.263893i 0.391175 0.920316i \(-0.372069\pi\)
−0.754393 + 0.656423i \(0.772069\pi\)
\(572\) 15.9660 + 11.5999i 0.667570 + 0.485018i
\(573\) −7.45106 + 22.9320i −0.311272 + 0.957998i
\(574\) −10.6931 −0.446321
\(575\) −6.30700 + 2.05717i −0.263020 + 0.0857901i
\(576\) 0.281962 0.0117484
\(577\) 10.4145 32.0525i 0.433561 1.33436i −0.460993 0.887404i \(-0.652507\pi\)
0.894554 0.446960i \(-0.147493\pi\)
\(578\) −5.27942 3.83572i −0.219595 0.159545i
\(579\) 0.465550 + 0.338242i 0.0193476 + 0.0140568i
\(580\) 1.45262 + 0.229229i 0.0603169 + 0.00951822i
\(581\) −0.259547 + 0.188572i −0.0107678 + 0.00782328i
\(582\) 9.55243 0.395961
\(583\) 45.1409 32.7968i 1.86955 1.35830i
\(584\) 1.20089 + 3.69596i 0.0496932 + 0.152940i
\(585\) −0.442204 2.78176i −0.0182829 0.115012i
\(586\) 3.30744 10.1793i 0.136629 0.420501i
\(587\) −1.25751 3.87023i −0.0519031 0.159741i 0.921745 0.387796i \(-0.126764\pi\)
−0.973648 + 0.228055i \(0.926764\pi\)
\(588\) 0.559821 + 1.72295i 0.0230866 + 0.0710533i
\(589\) 19.8504 61.0934i 0.817923 2.51731i
\(590\) 8.77338 17.2429i 0.361194 0.709878i
\(591\) 1.49036 + 4.58686i 0.0613053 + 0.188678i
\(592\) 3.83139 2.78367i 0.157469 0.114408i
\(593\) −11.2865 −0.463481 −0.231741 0.972778i \(-0.574442\pi\)
−0.231741 + 0.972778i \(0.574442\pi\)
\(594\) −17.5976 + 12.7854i −0.722039 + 0.524592i
\(595\) −1.70271 10.7112i −0.0698042 0.439116i
\(596\) −6.87538 4.99526i −0.281627 0.204614i
\(597\) 20.8812 + 15.1711i 0.854612 + 0.620912i
\(598\) 1.83169 5.63737i 0.0749034 0.230529i
\(599\) 32.5873 1.33148 0.665740 0.746184i \(-0.268116\pi\)
0.665740 + 0.746184i \(0.268116\pi\)
\(600\) −5.33252 7.32211i −0.217699 0.298924i
\(601\) −39.1495 −1.59694 −0.798470 0.602035i \(-0.794357\pi\)
−0.798470 + 0.602035i \(0.794357\pi\)
\(602\) −2.16497 + 6.66309i −0.0882376 + 0.271567i
\(603\) −1.76911 1.28533i −0.0720437 0.0523428i
\(604\) −8.83270 6.41733i −0.359398 0.261118i
\(605\) 16.9581 8.65269i 0.689445 0.351782i
\(606\) −4.74788 + 3.44954i −0.192869 + 0.140128i
\(607\) 5.40502 0.219383 0.109691 0.993966i \(-0.465014\pi\)
0.109691 + 0.993966i \(0.465014\pi\)
\(608\) −5.02687 + 3.65224i −0.203867 + 0.148118i
\(609\) 0.368179 + 1.13314i 0.0149193 + 0.0459170i
\(610\) −30.8066 + 15.7188i −1.24732 + 0.636434i
\(611\) 6.73505 20.7284i 0.272471 0.838580i
\(612\) −0.422615 1.30067i −0.0170832 0.0525766i
\(613\) −6.68755 20.5822i −0.270108 0.831306i −0.990472 0.137711i \(-0.956026\pi\)
0.720365 0.693595i \(-0.243974\pi\)
\(614\) −0.0429532 + 0.132196i −0.00173345 + 0.00533501i
\(615\) 30.6469 + 30.6122i 1.23580 + 1.23440i
\(616\) 1.36507 + 4.20127i 0.0550004 + 0.169274i
\(617\) −3.03955 + 2.20836i −0.122368 + 0.0889052i −0.647286 0.762247i \(-0.724096\pi\)
0.524918 + 0.851153i \(0.324096\pi\)
\(618\) −17.9348 −0.721442
\(619\) −9.85466 + 7.15983i −0.396092 + 0.287778i −0.767947 0.640513i \(-0.778722\pi\)
0.371855 + 0.928291i \(0.378722\pi\)
\(620\) −10.4832 + 20.6034i −0.421017 + 0.827452i
\(621\) 5.28551 + 3.84014i 0.212100 + 0.154100i
\(622\) −6.35586 4.61780i −0.254847 0.185157i
\(623\) −2.65097 + 8.15886i −0.106209 + 0.326878i
\(624\) 8.09339 0.323995
\(625\) −7.67151 + 23.7939i −0.306860 + 0.951755i
\(626\) −17.2758 −0.690478
\(627\) −15.3661 + 47.2920i −0.613662 + 1.88866i
\(628\) 0.404030 + 0.293545i 0.0161226 + 0.0117137i
\(629\) −18.5835 13.5017i −0.740973 0.538348i
\(630\) 0.285916 0.561930i 0.0113912 0.0223878i
\(631\) 3.53306 2.56692i 0.140649 0.102187i −0.515236 0.857048i \(-0.672296\pi\)
0.655885 + 0.754861i \(0.272296\pi\)
\(632\) −0.603496 −0.0240058
\(633\) −0.899453 + 0.653491i −0.0357500 + 0.0259739i
\(634\) −5.12559 15.7750i −0.203563 0.626504i
\(635\) −10.5960 10.5840i −0.420490 0.420014i
\(636\) 7.07112 21.7627i 0.280388 0.862945i
\(637\) 1.38053 + 4.24883i 0.0546986 + 0.168345i
\(638\) 0.897771 + 2.76305i 0.0355431 + 0.109390i
\(639\) 0.620307 1.90911i 0.0245390 0.0755231i
\(640\) 1.99178 1.01628i 0.0787318 0.0401721i
\(641\) −0.896682 2.75970i −0.0354168 0.109002i 0.931785 0.363010i \(-0.118251\pi\)
−0.967202 + 0.254008i \(0.918251\pi\)
\(642\) −12.6953 + 9.22369i −0.501044 + 0.364030i
\(643\) 0.562466 0.0221815 0.0110908 0.999938i \(-0.496470\pi\)
0.0110908 + 0.999938i \(0.496470\pi\)
\(644\) 1.07341 0.779875i 0.0422981 0.0307314i
\(645\) 25.2800 12.8988i 0.995398 0.507892i
\(646\) 24.3820 + 17.7146i 0.959297 + 0.696970i
\(647\) 18.7570 + 13.6278i 0.737415 + 0.535763i 0.891900 0.452232i \(-0.149372\pi\)
−0.154485 + 0.987995i \(0.549372\pi\)
\(648\) −3.01798 + 9.28838i −0.118557 + 0.364882i
\(649\) 38.2202 1.50027
\(650\) −13.1501 18.0565i −0.515789 0.708233i
\(651\) −18.7290 −0.734047
\(652\) 1.88397 5.79825i 0.0737818 0.227077i
\(653\) 35.5945 + 25.8609i 1.39292 + 1.01201i 0.995538 + 0.0943608i \(0.0300807\pi\)
0.397381 + 0.917654i \(0.369919\pi\)
\(654\) −19.0757 13.8593i −0.745918 0.541941i
\(655\) 6.51006 + 40.9527i 0.254369 + 1.60015i
\(656\) −8.65090 + 6.28525i −0.337761 + 0.245398i
\(657\) 1.09575 0.0427493
\(658\) 3.94687 2.86757i 0.153865 0.111789i
\(659\) −14.4463 44.4612i −0.562749 1.73196i −0.674548 0.738231i \(-0.735661\pi\)
0.111799 0.993731i \(-0.464339\pi\)
\(660\) 8.11501 15.9489i 0.315876 0.620812i
\(661\) −0.905186 + 2.78587i −0.0352076 + 0.108358i −0.967116 0.254336i \(-0.918143\pi\)
0.931908 + 0.362694i \(0.118143\pi\)
\(662\) 10.0943 + 31.0672i 0.392328 + 1.20746i
\(663\) −12.1307 37.3343i −0.471115 1.44994i
\(664\) −0.0991381 + 0.305116i −0.00384730 + 0.0118408i
\(665\) 2.18127 + 13.7216i 0.0845859 + 0.532103i
\(666\) −0.412640 1.26998i −0.0159895 0.0492106i
\(667\) 0.705949 0.512902i 0.0273345 0.0198597i
\(668\) −3.10146 −0.119999
\(669\) 27.8730 20.2509i 1.07763 0.782945i
\(670\) −17.1297 2.70313i −0.661778 0.104431i
\(671\) −55.2758 40.1602i −2.13390 1.55037i
\(672\) 1.46563 + 1.06484i 0.0565379 + 0.0410772i
\(673\) 5.57052 17.1443i 0.214728 0.660864i −0.784445 0.620198i \(-0.787052\pi\)
0.999173 0.0406658i \(-0.0129479\pi\)
\(674\) −19.5780 −0.754115
\(675\) 23.4066 7.63461i 0.900921 0.293856i
\(676\) 6.95846 0.267633
\(677\) −4.48513 + 13.8038i −0.172378 + 0.530524i −0.999504 0.0314921i \(-0.989974\pi\)
0.827126 + 0.562016i \(0.189974\pi\)
\(678\) −13.7714 10.0055i −0.528888 0.384260i
\(679\) 4.26584 + 3.09932i 0.163708 + 0.118941i
\(680\) −7.67339 7.66470i −0.294261 0.293928i
\(681\) −14.5988 + 10.6066i −0.559427 + 0.406447i
\(682\) −45.6690 −1.74876
\(683\) 17.8709 12.9840i 0.683810 0.496817i −0.190809 0.981627i \(-0.561111\pi\)
0.874620 + 0.484810i \(0.161111\pi\)
\(684\) 0.541394 + 1.66624i 0.0207007 + 0.0637103i
\(685\) −16.7963 2.65051i −0.641753 0.101271i
\(686\) −0.309017 + 0.951057i −0.0117983 + 0.0363115i
\(687\) 6.86619 + 21.1320i 0.261962 + 0.806235i
\(688\) 2.16497 + 6.66309i 0.0825387 + 0.254028i
\(689\) 17.4375 53.6672i 0.664316 2.04456i
\(690\) −5.30905 0.837788i −0.202112 0.0318940i
\(691\) 7.56626 + 23.2866i 0.287834 + 0.885862i 0.985535 + 0.169473i \(0.0542065\pi\)
−0.697701 + 0.716389i \(0.745793\pi\)
\(692\) 6.27811 4.56132i 0.238658 0.173395i
\(693\) 1.24556 0.0473149
\(694\) 19.6148 14.2510i 0.744568 0.540961i
\(695\) 16.1343 + 16.1160i 0.612008 + 0.611315i
\(696\) 0.963904 + 0.700317i 0.0365367 + 0.0265455i
\(697\) 41.9597 + 30.4855i 1.58934 + 1.15472i
\(698\) 1.08779 3.34787i 0.0411734 0.126719i
\(699\) 1.59727 0.0604144
\(700\) −0.00566732 5.00000i −0.000214205 0.188982i
\(701\) −12.8795 −0.486450 −0.243225 0.969970i \(-0.578205\pi\)
−0.243225 + 0.969970i \(0.578205\pi\)
\(702\) −6.79780 + 20.9215i −0.256566 + 0.789630i
\(703\) 23.8066 + 17.2965i 0.897881 + 0.652349i
\(704\) 3.57381 + 2.59653i 0.134693 + 0.0978602i
\(705\) −19.5212 3.08051i −0.735210 0.116019i
\(706\) −3.45290 + 2.50868i −0.129952 + 0.0944155i
\(707\) −3.23948 −0.121833
\(708\) 12.6807 9.21306i 0.476570 0.346248i
\(709\) −2.98673 9.19222i −0.112169 0.345221i 0.879177 0.476495i \(-0.158093\pi\)
−0.991346 + 0.131274i \(0.958093\pi\)
\(710\) −2.49921 15.7217i −0.0937935 0.590025i
\(711\) −0.0525832 + 0.161835i −0.00197203 + 0.00606927i
\(712\) 2.65097 + 8.15886i 0.0993495 + 0.305766i
\(713\) 4.23874 + 13.0455i 0.158742 + 0.488557i
\(714\) 2.71532 8.35689i 0.101618 0.312749i
\(715\) 20.0118 39.3304i 0.748398 1.47087i
\(716\) −2.63498 8.10965i −0.0984740 0.303072i
\(717\) 27.1285 19.7100i 1.01313 0.736083i
\(718\) 24.9430 0.930864
\(719\) 7.17810 5.21520i 0.267698 0.194494i −0.445836 0.895115i \(-0.647093\pi\)
0.713534 + 0.700621i \(0.247093\pi\)
\(720\) −0.0989827 0.622668i −0.00368887 0.0232055i
\(721\) −8.00915 5.81899i −0.298276 0.216710i
\(722\) −15.8634 11.5255i −0.590376 0.428934i
\(723\) 13.3538 41.0987i 0.496633 1.52848i
\(724\) −5.39927 −0.200662
\(725\) −0.00372724 3.28836i −0.000138426 0.122127i
\(726\) 15.4242 0.572447
\(727\) 14.1977 43.6959i 0.526562 1.62059i −0.234643 0.972081i \(-0.575392\pi\)
0.761206 0.648510i \(-0.224608\pi\)
\(728\) 3.61427 + 2.62592i 0.133954 + 0.0973232i
\(729\) −19.4227 14.1114i −0.719358 0.522644i
\(730\) 7.74037 3.94944i 0.286484 0.146175i
\(731\) 27.4915 19.9738i 1.01681 0.738756i
\(732\) −28.0202 −1.03565
\(733\) 23.8388 17.3199i 0.880505 0.639724i −0.0528803 0.998601i \(-0.516840\pi\)
0.933385 + 0.358877i \(0.116840\pi\)
\(734\) 1.90054 + 5.84927i 0.0701503 + 0.215900i
\(735\) 3.60834 1.84112i 0.133096 0.0679106i
\(736\) 0.410005 1.26186i 0.0151130 0.0465130i
\(737\) −10.5867 32.5826i −0.389968 1.20020i
\(738\) 0.931701 + 2.86748i 0.0342964 + 0.105553i
\(739\) −12.7858 + 39.3507i −0.470334 + 1.44754i 0.381815 + 0.924239i \(0.375299\pi\)
−0.852149 + 0.523300i \(0.824701\pi\)
\(740\) −7.49229 7.48380i −0.275422 0.275110i
\(741\) 15.5401 + 47.8274i 0.570879 + 1.75698i
\(742\) 10.2187 7.42433i 0.375141 0.272556i
\(743\) −8.40313 −0.308281 −0.154140 0.988049i \(-0.549261\pi\)
−0.154140 + 0.988049i \(0.549261\pi\)
\(744\) −15.1521 + 11.0086i −0.555502 + 0.403596i
\(745\) −8.61762 + 16.9368i −0.315725 + 0.620515i
\(746\) 21.8299 + 15.8603i 0.799248 + 0.580688i
\(747\) 0.0731824 + 0.0531701i 0.00267760 + 0.00194539i
\(748\) 6.62106 20.3775i 0.242090 0.745076i
\(749\) −8.66202 −0.316503
\(750\) −14.2977 + 14.3464i −0.522079 + 0.523858i
\(751\) 25.8796 0.944362 0.472181 0.881502i \(-0.343467\pi\)
0.472181 + 0.881502i \(0.343467\pi\)
\(752\) 1.50757 4.63982i 0.0549754 0.169197i
\(753\) 4.78967 + 3.47990i 0.174545 + 0.126815i
\(754\) 2.37701 + 1.72700i 0.0865655 + 0.0628935i
\(755\) −11.0709 + 21.7584i −0.402913 + 0.791870i
\(756\) −3.98364 + 2.89428i −0.144884 + 0.105264i
\(757\) −19.3101 −0.701838 −0.350919 0.936406i \(-0.614131\pi\)
−0.350919 + 0.936406i \(0.614131\pi\)
\(758\) −14.2440 + 10.3489i −0.517365 + 0.375888i
\(759\) −3.28118 10.0984i −0.119099 0.366549i
\(760\) 9.83006 + 9.81893i 0.356574 + 0.356170i
\(761\) 2.12143 6.52908i 0.0769016 0.236679i −0.905215 0.424955i \(-0.860290\pi\)
0.982116 + 0.188276i \(0.0602900\pi\)
\(762\) −3.74952 11.5398i −0.135831 0.418044i
\(763\) −4.02196 12.3783i −0.145605 0.448125i
\(764\) −4.11293 + 12.6583i −0.148801 + 0.457961i
\(765\) −2.72397 + 1.38988i −0.0984854 + 0.0502511i
\(766\) −11.1428 34.2941i −0.402606 1.23909i
\(767\) 31.2709 22.7196i 1.12913 0.820357i
\(768\) 1.81162 0.0653712
\(769\) −29.4246 + 21.3782i −1.06108 + 0.770919i −0.974288 0.225308i \(-0.927661\pi\)
−0.0867908 + 0.996227i \(0.527661\pi\)
\(770\) 8.79861 4.48940i 0.317080 0.161787i
\(771\) 38.4409 + 27.9289i 1.38441 + 1.00584i
\(772\) 0.256980 + 0.186707i 0.00924891 + 0.00671972i
\(773\) −5.73873 + 17.6620i −0.206408 + 0.635258i 0.793245 + 0.608903i \(0.208390\pi\)
−0.999653 + 0.0263553i \(0.991610\pi\)
\(774\) 1.97542 0.0710051
\(775\) 49.1794 + 15.9178i 1.76658 + 0.571783i
\(776\) 5.27287 0.189285
\(777\) 2.65123 8.15965i 0.0951124 0.292726i
\(778\) 10.9054 + 7.92324i 0.390978 + 0.284062i
\(779\) −53.7529 39.0537i −1.92590 1.39925i
\(780\) −2.84118 17.8729i −0.101731 0.639954i
\(781\) 25.4428 18.4853i 0.910415 0.661455i
\(782\) −6.43544 −0.230131
\(783\) −2.61993 + 1.90349i −0.0936286 + 0.0680251i
\(784\) 0.309017 + 0.951057i 0.0110363 + 0.0339663i
\(785\) 0.506413 0.995286i 0.0180747 0.0355233i
\(786\) −10.3816 + 31.9514i −0.370300 + 1.13967i
\(787\) 9.24838 + 28.4636i 0.329669 + 1.01462i 0.969289 + 0.245925i \(0.0790918\pi\)
−0.639620 + 0.768691i \(0.720908\pi\)
\(788\) 0.822669 + 2.53191i 0.0293064 + 0.0901957i
\(789\) −0.702733 + 2.16279i −0.0250180 + 0.0769974i
\(790\) 0.211857 + 1.33272i 0.00753753 + 0.0474162i
\(791\) −2.90360 8.93635i −0.103240 0.317740i
\(792\) 1.00768 0.732122i 0.0358063 0.0260148i
\(793\) −69.0983 −2.45375
\(794\) −15.2957 + 11.1130i −0.542826 + 0.394386i
\(795\) −50.5416 7.97565i −1.79253 0.282867i
\(796\) 11.5263 + 8.37433i 0.408538 + 0.296820i
\(797\) −22.0610 16.0283i −0.781442 0.567751i 0.123969 0.992286i \(-0.460438\pi\)
−0.905412 + 0.424535i \(0.860438\pi\)
\(798\) −3.47848 + 10.7057i −0.123137 + 0.378976i
\(799\) −23.6628 −0.837131
\(800\) −2.94351 4.04175i −0.104069 0.142897i
\(801\) 2.41888 0.0854668
\(802\) 5.12271 15.7661i 0.180889 0.556719i
\(803\) 13.8884 + 10.0905i 0.490112 + 0.356087i
\(804\) −11.3666 8.25832i −0.400869 0.291248i
\(805\) −2.09905 2.09667i −0.0739818 0.0738979i
\(806\) −37.3653 + 27.1475i −1.31614 + 0.956229i
\(807\) 57.6044 2.02777
\(808\) −2.62079 + 1.90412i −0.0921992 + 0.0669866i
\(809\) 8.85033 + 27.2385i 0.311161 + 0.957655i 0.977306 + 0.211833i \(0.0679433\pi\)
−0.666145 + 0.745822i \(0.732057\pi\)
\(810\) 21.5714 + 3.40404i 0.757940 + 0.119606i
\(811\) 6.20133 19.0857i 0.217758 0.670190i −0.781188 0.624296i \(-0.785386\pi\)
0.998946 0.0458948i \(-0.0146139\pi\)
\(812\) 0.203232 + 0.625483i 0.00713204 + 0.0219502i
\(813\) 3.46083 + 10.6513i 0.121377 + 0.373559i
\(814\) 6.46479 19.8966i 0.226591 0.697375i
\(815\) −13.4659 2.12496i −0.471689 0.0744342i
\(816\) −2.71532 8.35689i −0.0950551 0.292550i
\(817\) −35.2182 + 25.5875i −1.23213 + 0.895195i
\(818\) 30.1676 1.05478
\(819\) 1.01909 0.740411i 0.0356098 0.0258721i
\(820\) 16.9169 + 16.8977i 0.590762 + 0.590093i
\(821\) −9.20902 6.69075i −0.321397 0.233509i 0.415374 0.909651i \(-0.363651\pi\)
−0.736771 + 0.676142i \(0.763651\pi\)
\(822\) −11.1454 8.09758i −0.388739 0.282435i
\(823\) 10.4255 32.0864i 0.363410 1.11846i −0.587560 0.809180i \(-0.699911\pi\)
0.950971 0.309282i \(-0.100089\pi\)
\(824\) −9.89986 −0.344878
\(825\) −38.0694 12.3218i −1.32541 0.428991i
\(826\) 8.65204 0.301043
\(827\) −0.153268 + 0.471710i −0.00532965 + 0.0164030i −0.953686 0.300804i \(-0.902745\pi\)
0.948356 + 0.317207i \(0.102745\pi\)
\(828\) −0.302660 0.219895i −0.0105182 0.00764189i
\(829\) −42.1243 30.6051i −1.46304 1.06296i −0.982559 0.185950i \(-0.940464\pi\)
−0.480477 0.877007i \(-0.659536\pi\)
\(830\) 0.708601 + 0.111820i 0.0245959 + 0.00388132i
\(831\) −11.9769 + 8.70170i −0.415473 + 0.301859i
\(832\) 4.46749 0.154882
\(833\) 3.92400 2.85095i 0.135959 0.0987797i
\(834\) 5.70930 + 17.5714i 0.197697 + 0.608448i
\(835\) 1.08877 + 6.84909i 0.0376784 + 0.237022i
\(836\) −8.48197 + 26.1048i −0.293355 + 0.902854i
\(837\) −15.7308 48.4146i −0.543738 1.67345i
\(838\) −0.243137 0.748298i −0.00839902 0.0258495i
\(839\) −7.01725 + 21.5969i −0.242262 + 0.745607i 0.753812 + 0.657090i \(0.228213\pi\)
−0.996075 + 0.0885169i \(0.971787\pi\)
\(840\) 1.83703 3.61042i 0.0633834 0.124571i
\(841\) −8.82783 27.1693i −0.304408 0.936872i
\(842\) 12.1996 8.86355i 0.420427 0.305458i
\(843\) −21.5255 −0.741379
\(844\) −0.496491 + 0.360722i −0.0170899 + 0.0124166i
\(845\) −2.44276 15.3666i −0.0840336 0.528628i
\(846\) −1.11287 0.808546i −0.0382612 0.0277984i
\(847\) 6.88802 + 5.00444i 0.236675 + 0.171955i
\(848\) 3.90320 12.0128i 0.134037 0.412522i
\(849\) 32.5716 1.11785
\(850\) −14.2325 + 19.6362i −0.488171 + 0.673514i
\(851\) −6.28355 −0.215397
\(852\) 3.98550 12.2661i 0.136541 0.420230i
\(853\) 31.7294 + 23.0528i 1.08639 + 0.789312i 0.978787 0.204882i \(-0.0656809\pi\)
0.107608 + 0.994193i \(0.465681\pi\)
\(854\) −12.5130 9.09123i −0.428186 0.311095i
\(855\) 3.48957 1.78051i 0.119341 0.0608923i
\(856\) −7.00772 + 5.09141i −0.239519 + 0.174021i
\(857\) −18.0981 −0.618219 −0.309110 0.951026i \(-0.600031\pi\)
−0.309110 + 0.951026i \(0.600031\pi\)
\(858\) 28.9242 21.0147i 0.987457 0.717429i
\(859\) −14.6179 44.9892i −0.498755 1.53501i −0.811022 0.585016i \(-0.801088\pi\)
0.312266 0.949995i \(-0.398912\pi\)
\(860\) 13.9544 7.12007i 0.475840 0.242792i
\(861\) −5.98622 + 18.4237i −0.204010 + 0.627878i
\(862\) −11.9184 36.6810i −0.405941 1.24936i
\(863\) 7.88846 + 24.2782i 0.268526 + 0.826439i 0.990860 + 0.134894i \(0.0430695\pi\)
−0.722334 + 0.691545i \(0.756930\pi\)
\(864\) −1.52161 + 4.68305i −0.0517664 + 0.159321i
\(865\) −12.2769 12.2630i −0.417426 0.416953i
\(866\) −12.0312 37.0283i −0.408838 1.25827i
\(867\) −9.56430 + 6.94887i −0.324821 + 0.235996i
\(868\) −10.3383 −0.350903
\(869\) −2.15678 + 1.56699i −0.0731637 + 0.0531566i
\(870\) 1.20816 2.37447i 0.0409605 0.0805022i
\(871\) −28.0303 20.3652i −0.949769 0.690048i
\(872\) −10.5296 7.65022i −0.356578 0.259069i
\(873\) 0.459431 1.41398i 0.0155494 0.0478561i
\(874\) 8.24417 0.278863
\(875\) −11.0397 + 1.76776i −0.373210 + 0.0597613i
\(876\) 7.04025 0.237868
\(877\) −17.0715 + 52.5407i −0.576464 + 1.77417i 0.0546742 + 0.998504i \(0.482588\pi\)
−0.631138 + 0.775670i \(0.717412\pi\)
\(878\) 22.2610 + 16.1735i 0.751271 + 0.545830i
\(879\) −15.6868 11.3971i −0.529102 0.384415i
\(880\) 4.47942 8.80370i 0.151001 0.296773i
\(881\) −0.894253 + 0.649713i −0.0301281 + 0.0218894i −0.602747 0.797932i \(-0.705927\pi\)
0.572619 + 0.819821i \(0.305927\pi\)
\(882\) 0.281962 0.00949416
\(883\) 32.4302 23.5619i 1.09136 0.792922i 0.111735 0.993738i \(-0.464359\pi\)
0.979629 + 0.200816i \(0.0643593\pi\)
\(884\) −6.69603 20.6083i −0.225212 0.693131i
\(885\) −24.7971 24.7690i −0.833546 0.832602i
\(886\) −9.36870 + 28.8339i −0.314748 + 0.968693i
\(887\) 16.6215 + 51.1558i 0.558096 + 1.71764i 0.687623 + 0.726068i \(0.258654\pi\)
−0.129527 + 0.991576i \(0.541346\pi\)
\(888\) −2.65123 8.15965i −0.0889695 0.273820i
\(889\) 2.06971 6.36990i 0.0694157 0.213640i
\(890\) 17.0869 8.71842i 0.572755 0.292242i
\(891\) 13.3318 + 41.0312i 0.446633 + 1.37460i
\(892\) 15.3857 11.1783i 0.515150 0.374279i
\(893\) 30.3135 1.01440
\(894\) −12.4556 + 9.04950i −0.416577 + 0.302661i
\(895\) −16.9838 + 8.66583i −0.567707 + 0.289667i
\(896\) 0.809017 + 0.587785i 0.0270274 + 0.0196365i
\(897\) −8.68749 6.31183i −0.290067 0.210746i
\(898\) −1.80627 + 5.55913i −0.0602760 + 0.185511i
\(899\) −6.79918 −0.226766
\(900\) −1.34031 + 0.437175i −0.0446772 + 0.0145725i
\(901\) −61.2647 −2.04102
\(902\) −14.5969 + 44.9246i −0.486023 + 1.49582i
\(903\) 10.2682 + 7.46028i 0.341704 + 0.248263i
\(904\) −7.60172 5.52297i −0.252829 0.183691i
\(905\) 1.89541 + 11.9234i 0.0630057 + 0.396348i
\(906\) −16.0015 + 11.6258i −0.531614 + 0.386240i
\(907\) 5.38033 0.178651 0.0893255 0.996002i \(-0.471529\pi\)
0.0893255 + 0.996002i \(0.471529\pi\)
\(908\) −8.05842 + 5.85479i −0.267428 + 0.194298i
\(909\) 0.282259 + 0.868705i 0.00936195 + 0.0288131i
\(910\) 4.53014 8.90338i 0.150173 0.295144i
\(911\) −8.28837 + 25.5090i −0.274606 + 0.845150i 0.714717 + 0.699413i \(0.246555\pi\)
−0.989323 + 0.145737i \(0.953445\pi\)
\(912\) 3.47848 + 10.7057i 0.115184 + 0.354500i
\(913\) 0.437940 + 1.34784i 0.0144937 + 0.0446070i
\(914\) −4.86806 + 14.9823i −0.161021 + 0.495572i
\(915\) 9.83647 + 61.8780i 0.325184 + 2.04562i
\(916\) 3.79009 + 11.6647i 0.125228 + 0.385412i
\(917\) −15.0029 + 10.9002i −0.495438 + 0.359957i
\(918\) 23.8833 0.788265
\(919\) −21.2106 + 15.4104i −0.699674 + 0.508343i −0.879826 0.475296i \(-0.842341\pi\)
0.180152 + 0.983639i \(0.442341\pi\)
\(920\) −2.93056 0.462453i −0.0966177 0.0152466i
\(921\) 0.203722 + 0.148012i 0.00671286 + 0.00487718i
\(922\) 16.5784 + 12.0449i 0.545979 + 0.396677i
\(923\) 9.82832 30.2485i 0.323503 0.995640i
\(924\) 8.00278 0.263272
\(925\) −13.8966 + 19.1727i −0.456918 + 0.630395i
\(926\) 21.6103 0.710158
\(927\) −0.862585 + 2.65476i −0.0283310 + 0.0871939i
\(928\) 0.532068 + 0.386570i 0.0174660 + 0.0126898i
\(929\) −24.3470 17.6892i −0.798801 0.580363i 0.111761 0.993735i \(-0.464351\pi\)
−0.910562 + 0.413372i \(0.864351\pi\)
\(930\) 29.6299 + 29.5963i 0.971603 + 0.970502i
\(931\) −5.02687 + 3.65224i −0.164749 + 0.119697i
\(932\) 0.881683 0.0288805
\(933\) −11.5144 + 8.36570i −0.376964 + 0.273881i
\(934\) −1.93496 5.95519i −0.0633138 0.194860i
\(935\) −47.3248 7.46803i −1.54769 0.244231i
\(936\) 0.389257 1.19801i 0.0127233 0.0391582i
\(937\) −11.5140 35.4365i −0.376146 1.15766i −0.942702 0.333635i \(-0.891725\pi\)
0.566556 0.824023i \(-0.308275\pi\)
\(938\) −2.39656 7.37586i −0.0782505 0.240830i
\(939\) −9.67133 + 29.7653i −0.315612 + 0.971354i
\(940\) −10.7755 1.70042i −0.351459 0.0554615i
\(941\) 7.67162 + 23.6108i 0.250088 + 0.769691i 0.994758 + 0.102258i \(0.0326068\pi\)
−0.744670 + 0.667433i \(0.767393\pi\)
\(942\) 0.731949 0.531792i 0.0238482 0.0173267i
\(943\) 14.1876 0.462013
\(944\) 6.99965 5.08554i 0.227819 0.165520i
\(945\) 7.79001 + 7.78119i 0.253409 + 0.253122i
\(946\) 25.0381 + 18.1912i 0.814058 + 0.591448i
\(947\) −14.0638 10.2179i −0.457011 0.332038i 0.335346 0.942095i \(-0.391147\pi\)
−0.792358 + 0.610057i \(0.791147\pi\)
\(948\) −0.337850 + 1.03979i −0.0109728 + 0.0337709i
\(949\) 17.3614 0.563575
\(950\) 18.2327 25.1551i 0.591547 0.816138i
\(951\) −30.0489 −0.974403
\(952\) 1.49884 4.61294i 0.0485775 0.149506i
\(953\) −31.8386 23.1321i −1.03135 0.749321i −0.0627734 0.998028i \(-0.519995\pi\)
−0.968579 + 0.248707i \(0.919995\pi\)
\(954\) −2.88129 2.09338i −0.0932852 0.0677757i
\(955\) 29.3977 + 4.63905i 0.951286 + 0.150116i
\(956\) 14.9747 10.8798i 0.484317 0.351877i
\(957\) 5.26320 0.170135
\(958\) 10.3531 7.52197i 0.334494 0.243024i
\(959\) −2.34991 7.23229i −0.0758827 0.233543i
\(960\) −0.635968 4.00067i −0.0205258 0.129121i
\(961\) 23.4481 72.1658i 0.756390 2.32793i
\(962\) −6.53799 20.1219i −0.210793 0.648755i
\(963\) 0.754731 + 2.32282i 0.0243209 + 0.0748520i
\(964\) 7.37119 22.6862i 0.237410 0.730673i
\(965\) 0.322099 0.633042i 0.0103687 0.0203783i
\(966\) −0.742772 2.28602i −0.0238983 0.0735514i
\(967\) 7.12318 5.17529i 0.229066 0.166426i −0.467332 0.884082i \(-0.654785\pi\)
0.696398 + 0.717656i \(0.254785\pi\)
\(968\) 8.51406 0.273652
\(969\) 44.1709 32.0920i 1.41897 1.03094i
\(970\) −1.85104 11.6443i −0.0594333 0.373876i
\(971\) 32.8383 + 23.8584i 1.05383 + 0.765653i 0.972937 0.231070i \(-0.0742227\pi\)
0.0808934 + 0.996723i \(0.474223\pi\)
\(972\) 2.36299 + 1.71681i 0.0757930 + 0.0550668i
\(973\) −3.15149 + 9.69929i −0.101032 + 0.310945i
\(974\) 13.4686 0.431563
\(975\) −38.4721 + 12.5486i −1.23209 + 0.401876i
\(976\) −15.4669 −0.495084
\(977\) −12.1780 + 37.4800i −0.389609 + 1.19909i 0.543473 + 0.839427i \(0.317109\pi\)
−0.933081 + 0.359666i \(0.882891\pi\)
\(978\) −8.93543 6.49197i −0.285723 0.207590i
\(979\) 30.6588 + 22.2749i 0.979858 + 0.711909i
\(980\) 1.99178 1.01628i 0.0636249 0.0324640i
\(981\) −2.96896 + 2.15707i −0.0947915 + 0.0688700i
\(982\) 15.1430 0.483233
\(983\) −3.91945 + 2.84764i −0.125011 + 0.0908257i −0.648534 0.761186i \(-0.724617\pi\)
0.523523 + 0.852012i \(0.324617\pi\)
\(984\) 5.98622 + 18.4237i 0.190834 + 0.587326i
\(985\) 5.30253 2.70556i 0.168953 0.0862063i
\(986\) 0.985742 3.03380i 0.0313924 0.0966159i
\(987\) −2.73114 8.40559i −0.0869332 0.267553i
\(988\) 8.57800 + 26.4004i 0.272903 + 0.839908i
\(989\) 2.87249 8.84061i 0.0913399 0.281115i
\(990\) −1.97052 1.96829i −0.0626272 0.0625562i
\(991\) 8.35207 + 25.7050i 0.265312 + 0.816547i 0.991621 + 0.129179i \(0.0412342\pi\)
−0.726309 + 0.687368i \(0.758766\pi\)
\(992\) −8.36383 + 6.07668i −0.265552 + 0.192935i
\(993\) 59.1783 1.87797
\(994\) 5.75958 4.18458i 0.182683 0.132727i
\(995\) 14.4471 28.3938i 0.458003 0.900143i
\(996\) 0.470200 + 0.341620i 0.0148989 + 0.0108247i
\(997\) 29.9388 + 21.7518i 0.948173 + 0.688888i 0.950374 0.311110i \(-0.100701\pi\)
−0.00220129 + 0.999998i \(0.500701\pi\)
\(998\) 11.6450 35.8395i 0.368615 1.13448i
\(999\) 23.3196 0.737799
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 350.2.h.c.71.2 16
25.6 even 5 inner 350.2.h.c.281.2 yes 16
25.9 even 10 8750.2.a.s.1.3 8
25.16 even 5 8750.2.a.u.1.6 8
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
350.2.h.c.71.2 16 1.1 even 1 trivial
350.2.h.c.281.2 yes 16 25.6 even 5 inner
8750.2.a.s.1.3 8 25.9 even 10
8750.2.a.u.1.6 8 25.16 even 5