Properties

Label 770.2.w.b.139.13
Level $770$
Weight $2$
Character 770.139
Analytic conductor $6.148$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [770,2,Mod(139,770)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(770, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("770.139");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.w (of order \(10\), 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: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 139.13
Character \(\chi\) \(=\) 770.139
Dual form 770.2.w.b.349.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.809017 + 0.587785i) q^{2} +(0.0561872 - 0.172927i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.27672 + 1.83575i) q^{5} +(0.147100 - 0.106874i) q^{6} +(1.13715 - 2.38891i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.40030 + 1.74392i) q^{9} +O(q^{10})\) \(q+(0.809017 + 0.587785i) q^{2} +(0.0561872 - 0.172927i) q^{3} +(0.309017 + 0.951057i) q^{4} +(1.27672 + 1.83575i) q^{5} +(0.147100 - 0.106874i) q^{6} +(1.13715 - 2.38891i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(2.40030 + 1.74392i) q^{9} +(-0.0461423 + 2.23559i) q^{10} +(1.38526 - 3.01348i) q^{11} +0.181826 q^{12} +(-1.69994 + 2.33976i) q^{13} +(2.32414 - 1.26426i) q^{14} +(0.389186 - 0.117633i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(0.891897 + 1.22759i) q^{17} +(0.916835 + 2.82173i) q^{18} +(-0.292395 + 0.899900i) q^{19} +(-1.35138 + 1.78151i) q^{20} +(-0.349212 - 0.330870i) q^{21} +(2.89198 - 1.62372i) q^{22} -6.64778i q^{23} +(0.147100 + 0.106874i) q^{24} +(-1.73998 + 4.68748i) q^{25} +(-2.75056 + 0.893710i) q^{26} +(0.877737 - 0.637714i) q^{27} +(2.62339 + 0.343285i) q^{28} +(6.22359 - 2.02217i) q^{29} +(0.384001 + 0.133591i) q^{30} +(-3.86442 + 5.31891i) q^{31} -1.00000 q^{32} +(-0.443276 - 0.408868i) q^{33} +1.51739i q^{34} +(5.83727 - 0.962427i) q^{35} +(-0.916835 + 2.82173i) q^{36} +(2.03004 - 0.659601i) q^{37} +(-0.765500 + 0.556169i) q^{38} +(0.309092 + 0.425429i) q^{39} +(-2.14043 + 0.646952i) q^{40} +(-2.81595 + 8.66660i) q^{41} +(-0.0880378 - 0.472941i) q^{42} -3.72846 q^{43} +(3.29406 + 0.386249i) q^{44} +(-0.136901 + 6.63287i) q^{45} +(3.90747 - 5.37817i) q^{46} +(1.06924 - 3.29077i) q^{47} +(0.0561872 + 0.172927i) q^{48} +(-4.41376 - 5.43311i) q^{49} +(-4.16291 + 2.76951i) q^{50} +(0.262396 - 0.0852577i) q^{51} +(-2.75056 - 0.893710i) q^{52} +(-6.94877 + 9.56417i) q^{53} +1.08494 q^{54} +(7.30059 - 1.30436i) q^{55} +(1.92059 + 1.81971i) q^{56} +(0.139188 + 0.101126i) q^{57} +(6.22359 + 2.02217i) q^{58} +(-6.67433 + 2.16862i) q^{59} +(0.232140 + 0.333787i) q^{60} +(9.03683 - 6.56564i) q^{61} +(-6.25276 + 2.03164i) q^{62} +(6.89559 - 3.75100i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-6.46557 - 0.133449i) q^{65} +(-0.118291 - 0.591332i) q^{66} -3.56425i q^{67} +(-0.891897 + 1.22759i) q^{68} +(-1.14958 - 0.373521i) q^{69} +(5.28815 + 2.65244i) q^{70} +(-3.59738 + 2.61365i) q^{71} +(-2.40030 + 1.74392i) q^{72} +(11.5095 - 3.73965i) q^{73} +(2.03004 + 0.659601i) q^{74} +(0.712825 + 0.564266i) q^{75} -0.946211 q^{76} +(-5.62366 - 6.73606i) q^{77} +0.525859i q^{78} +(3.00703 - 4.13882i) q^{79} +(-2.11192 - 0.734720i) q^{80} +(2.68954 + 8.27757i) q^{81} +(-7.37225 + 5.35625i) q^{82} +(-7.39042 - 10.1720i) q^{83} +(0.206764 - 0.434365i) q^{84} +(-1.11485 + 3.20459i) q^{85} +(-3.01639 - 2.19153i) q^{86} -1.18984i q^{87} +(2.43792 + 2.24868i) q^{88} -6.90281i q^{89} +(-4.00946 + 5.28563i) q^{90} +(3.65639 + 6.72167i) q^{91} +(6.32242 - 2.05428i) q^{92} +(0.702651 + 0.967116i) q^{93} +(2.79930 - 2.03381i) q^{94} +(-2.02530 + 0.612153i) q^{95} +(-0.0561872 + 0.172927i) q^{96} +(-13.6696 - 9.93154i) q^{97} +(-0.377303 - 6.98982i) q^{98} +(8.58033 - 4.81747i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 + 0.587785i 0.572061 + 0.415627i
\(3\) 0.0561872 0.172927i 0.0324397 0.0998392i −0.933526 0.358511i \(-0.883285\pi\)
0.965965 + 0.258671i \(0.0832847\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) 1.27672 + 1.83575i 0.570966 + 0.820974i
\(6\) 0.147100 0.106874i 0.0600534 0.0436313i
\(7\) 1.13715 2.38891i 0.429804 0.902922i
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) 2.40030 + 1.74392i 0.800101 + 0.581308i
\(10\) −0.0461423 + 2.23559i −0.0145915 + 0.706956i
\(11\) 1.38526 3.01348i 0.417673 0.908597i
\(12\) 0.181826 0.0524886
\(13\) −1.69994 + 2.33976i −0.471478 + 0.648934i −0.976839 0.213974i \(-0.931359\pi\)
0.505361 + 0.862908i \(0.331359\pi\)
\(14\) 2.32414 1.26426i 0.621153 0.337889i
\(15\) 0.389186 0.117633i 0.100487 0.0303726i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) 0.891897 + 1.22759i 0.216317 + 0.297735i 0.903361 0.428881i \(-0.141092\pi\)
−0.687044 + 0.726616i \(0.741092\pi\)
\(18\) 0.916835 + 2.82173i 0.216100 + 0.665087i
\(19\) −0.292395 + 0.899900i −0.0670800 + 0.206451i −0.978978 0.203966i \(-0.934617\pi\)
0.911898 + 0.410417i \(0.134617\pi\)
\(20\) −1.35138 + 1.78151i −0.302177 + 0.398358i
\(21\) −0.349212 0.330870i −0.0762043 0.0722018i
\(22\) 2.89198 1.62372i 0.616572 0.346177i
\(23\) 6.64778i 1.38616i −0.720861 0.693079i \(-0.756254\pi\)
0.720861 0.693079i \(-0.243746\pi\)
\(24\) 0.147100 + 0.106874i 0.0300267 + 0.0218157i
\(25\) −1.73998 + 4.68748i −0.347996 + 0.937496i
\(26\) −2.75056 + 0.893710i −0.539429 + 0.175271i
\(27\) 0.877737 0.637714i 0.168921 0.122728i
\(28\) 2.62339 + 0.343285i 0.495773 + 0.0648747i
\(29\) 6.22359 2.02217i 1.15569 0.375507i 0.332407 0.943136i \(-0.392139\pi\)
0.823285 + 0.567629i \(0.192139\pi\)
\(30\) 0.384001 + 0.133591i 0.0701086 + 0.0243903i
\(31\) −3.86442 + 5.31891i −0.694070 + 0.955305i 0.305925 + 0.952056i \(0.401034\pi\)
−0.999995 + 0.00324962i \(0.998966\pi\)
\(32\) −1.00000 −0.176777
\(33\) −0.443276 0.408868i −0.0771644 0.0711748i
\(34\) 1.51739i 0.260230i
\(35\) 5.83727 0.962427i 0.986679 0.162680i
\(36\) −0.916835 + 2.82173i −0.152806 + 0.470288i
\(37\) 2.03004 0.659601i 0.333737 0.108438i −0.137355 0.990522i \(-0.543860\pi\)
0.471092 + 0.882084i \(0.343860\pi\)
\(38\) −0.765500 + 0.556169i −0.124181 + 0.0902225i
\(39\) 0.309092 + 0.425429i 0.0494944 + 0.0681232i
\(40\) −2.14043 + 0.646952i −0.338432 + 0.102292i
\(41\) −2.81595 + 8.66660i −0.439777 + 1.35350i 0.448334 + 0.893866i \(0.352018\pi\)
−0.888111 + 0.459629i \(0.847982\pi\)
\(42\) −0.0880378 0.472941i −0.0135845 0.0729764i
\(43\) −3.72846 −0.568585 −0.284293 0.958738i \(-0.591759\pi\)
−0.284293 + 0.958738i \(0.591759\pi\)
\(44\) 3.29406 + 0.386249i 0.496598 + 0.0582292i
\(45\) −0.136901 + 6.63287i −0.0204081 + 0.988769i
\(46\) 3.90747 5.37817i 0.576125 0.792968i
\(47\) 1.06924 3.29077i 0.155964 0.480009i −0.842293 0.539020i \(-0.818795\pi\)
0.998257 + 0.0590111i \(0.0187947\pi\)
\(48\) 0.0561872 + 0.172927i 0.00810993 + 0.0249598i
\(49\) −4.41376 5.43311i −0.630537 0.776159i
\(50\) −4.16291 + 2.76951i −0.588724 + 0.391668i
\(51\) 0.262396 0.0852577i 0.0367428 0.0119385i
\(52\) −2.75056 0.893710i −0.381434 0.123935i
\(53\) −6.94877 + 9.56417i −0.954488 + 1.31374i −0.00498257 + 0.999988i \(0.501586\pi\)
−0.949505 + 0.313752i \(0.898414\pi\)
\(54\) 1.08494 0.147642
\(55\) 7.30059 1.30436i 0.984412 0.175879i
\(56\) 1.92059 + 1.81971i 0.256649 + 0.243169i
\(57\) 0.139188 + 0.101126i 0.0184359 + 0.0133944i
\(58\) 6.22359 + 2.02217i 0.817197 + 0.265524i
\(59\) −6.67433 + 2.16862i −0.868924 + 0.282331i −0.709351 0.704855i \(-0.751012\pi\)
−0.159573 + 0.987186i \(0.551012\pi\)
\(60\) 0.232140 + 0.333787i 0.0299692 + 0.0430917i
\(61\) 9.03683 6.56564i 1.15705 0.840644i 0.167646 0.985847i \(-0.446384\pi\)
0.989402 + 0.145203i \(0.0463835\pi\)
\(62\) −6.25276 + 2.03164i −0.794101 + 0.258019i
\(63\) 6.89559 3.75100i 0.868762 0.472581i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −6.46557 0.133449i −0.801955 0.0165523i
\(66\) −0.118291 0.591332i −0.0145606 0.0727880i
\(67\) 3.56425i 0.435443i −0.976011 0.217722i \(-0.930138\pi\)
0.976011 0.217722i \(-0.0698625\pi\)
\(68\) −0.891897 + 1.22759i −0.108158 + 0.148867i
\(69\) −1.14958 0.373521i −0.138393 0.0449666i
\(70\) 5.28815 + 2.65244i 0.632055 + 0.317028i
\(71\) −3.59738 + 2.61365i −0.426931 + 0.310184i −0.780421 0.625255i \(-0.784995\pi\)
0.353490 + 0.935438i \(0.384995\pi\)
\(72\) −2.40030 + 1.74392i −0.282879 + 0.205523i
\(73\) 11.5095 3.73965i 1.34708 0.437693i 0.455372 0.890301i \(-0.349506\pi\)
0.891710 + 0.452608i \(0.149506\pi\)
\(74\) 2.03004 + 0.659601i 0.235988 + 0.0766771i
\(75\) 0.712825 + 0.564266i 0.0823099 + 0.0651558i
\(76\) −0.946211 −0.108538
\(77\) −5.62366 6.73606i −0.640875 0.767645i
\(78\) 0.525859i 0.0595418i
\(79\) 3.00703 4.13882i 0.338317 0.465653i −0.605632 0.795745i \(-0.707080\pi\)
0.943949 + 0.330092i \(0.107080\pi\)
\(80\) −2.11192 0.734720i −0.236119 0.0821442i
\(81\) 2.68954 + 8.27757i 0.298838 + 0.919730i
\(82\) −7.37225 + 5.35625i −0.814129 + 0.591499i
\(83\) −7.39042 10.1720i −0.811204 1.11653i −0.991136 0.132848i \(-0.957588\pi\)
0.179932 0.983679i \(-0.442412\pi\)
\(84\) 0.206764 0.434365i 0.0225598 0.0473931i
\(85\) −1.11485 + 3.20459i −0.120923 + 0.347587i
\(86\) −3.01639 2.19153i −0.325266 0.236319i
\(87\) 1.18984i 0.127565i
\(88\) 2.43792 + 2.24868i 0.259883 + 0.239710i
\(89\) 6.90281i 0.731696i −0.930675 0.365848i \(-0.880779\pi\)
0.930675 0.365848i \(-0.119221\pi\)
\(90\) −4.00946 + 5.28563i −0.422634 + 0.557155i
\(91\) 3.65639 + 6.72167i 0.383294 + 0.704622i
\(92\) 6.32242 2.05428i 0.659158 0.214173i
\(93\) 0.702651 + 0.967116i 0.0728615 + 0.100285i
\(94\) 2.79930 2.03381i 0.288726 0.209772i
\(95\) −2.02530 + 0.612153i −0.207791 + 0.0628055i
\(96\) −0.0561872 + 0.172927i −0.00573459 + 0.0176492i
\(97\) −13.6696 9.93154i −1.38794 1.00840i −0.996088 0.0883658i \(-0.971836\pi\)
−0.391849 0.920030i \(-0.628164\pi\)
\(98\) −0.377303 6.98982i −0.0381134 0.706079i
\(99\) 8.58033 4.81747i 0.862355 0.484174i
\(100\) −4.99574 0.206311i −0.499574 0.0206311i
\(101\) 0.165529 + 0.120264i 0.0164708 + 0.0119667i 0.595990 0.802992i \(-0.296760\pi\)
−0.579519 + 0.814958i \(0.696760\pi\)
\(102\) 0.262396 + 0.0852577i 0.0259811 + 0.00844177i
\(103\) 4.32903 + 13.3234i 0.426552 + 1.31279i 0.901500 + 0.432778i \(0.142467\pi\)
−0.474949 + 0.880014i \(0.657533\pi\)
\(104\) −1.69994 2.33976i −0.166693 0.229433i
\(105\) 0.161551 1.06350i 0.0157658 0.103787i
\(106\) −11.2434 + 3.65319i −1.09205 + 0.354829i
\(107\) 1.80875 5.56676i 0.174859 0.538159i −0.824768 0.565471i \(-0.808695\pi\)
0.999627 + 0.0273113i \(0.00869453\pi\)
\(108\) 0.877737 + 0.637714i 0.0844603 + 0.0613640i
\(109\) 10.7302i 1.02776i −0.857861 0.513882i \(-0.828207\pi\)
0.857861 0.513882i \(-0.171793\pi\)
\(110\) 6.67298 + 3.23593i 0.636244 + 0.308534i
\(111\) 0.388110i 0.0368377i
\(112\) 0.484188 + 2.60107i 0.0457514 + 0.245778i
\(113\) −8.54385 2.77607i −0.803738 0.261150i −0.121795 0.992555i \(-0.538865\pi\)
−0.681943 + 0.731405i \(0.738865\pi\)
\(114\) 0.0531650 + 0.163625i 0.00497935 + 0.0153249i
\(115\) 12.2037 8.48734i 1.13800 0.791449i
\(116\) 3.84639 + 5.29410i 0.357128 + 0.491545i
\(117\) −8.16073 + 2.65158i −0.754460 + 0.245139i
\(118\) −6.67433 2.16862i −0.614422 0.199638i
\(119\) 3.94683 0.734699i 0.361805 0.0673498i
\(120\) −0.00838986 + 0.406488i −0.000765886 + 0.0371071i
\(121\) −7.16209 8.34892i −0.651099 0.758993i
\(122\) 11.1701 1.01130
\(123\) 1.34046 + 0.973905i 0.120866 + 0.0878140i
\(124\) −6.25276 2.03164i −0.561514 0.182447i
\(125\) −10.8265 + 2.79041i −0.968354 + 0.249582i
\(126\) 7.78343 + 1.01851i 0.693403 + 0.0907357i
\(127\) 4.70163 3.41594i 0.417202 0.303115i −0.359309 0.933219i \(-0.616988\pi\)
0.776511 + 0.630103i \(0.216988\pi\)
\(128\) −0.309017 0.951057i −0.0273135 0.0840623i
\(129\) −0.209492 + 0.644750i −0.0184447 + 0.0567671i
\(130\) −5.15232 3.90833i −0.451888 0.342783i
\(131\) 4.76825 0.416604 0.208302 0.978065i \(-0.433206\pi\)
0.208302 + 0.978065i \(0.433206\pi\)
\(132\) 0.251877 0.547928i 0.0219231 0.0476910i
\(133\) 1.81728 + 1.72183i 0.157578 + 0.149302i
\(134\) 2.09502 2.88354i 0.180982 0.249100i
\(135\) 2.29131 + 0.797129i 0.197204 + 0.0686060i
\(136\) −1.44312 + 0.468898i −0.123746 + 0.0402077i
\(137\) −3.04244 4.18756i −0.259933 0.357767i 0.659026 0.752120i \(-0.270969\pi\)
−0.918959 + 0.394353i \(0.870969\pi\)
\(138\) −0.710478 0.977890i −0.0604799 0.0832435i
\(139\) −7.09966 21.8505i −0.602185 1.85334i −0.515091 0.857135i \(-0.672242\pi\)
−0.0870939 0.996200i \(-0.527758\pi\)
\(140\) 2.71914 + 5.25417i 0.229809 + 0.444058i
\(141\) −0.508985 0.369799i −0.0428643 0.0311427i
\(142\) −4.44661 −0.373151
\(143\) 4.69596 + 8.36391i 0.392696 + 0.699426i
\(144\) −2.96694 −0.247245
\(145\) 11.6580 + 8.84324i 0.968142 + 0.734391i
\(146\) 11.5095 + 3.73965i 0.952531 + 0.309496i
\(147\) −1.18753 + 0.457985i −0.0979455 + 0.0377739i
\(148\) 1.25464 + 1.72686i 0.103130 + 0.141947i
\(149\) −3.66274 5.04134i −0.300064 0.413002i 0.632187 0.774816i \(-0.282158\pi\)
−0.932250 + 0.361814i \(0.882158\pi\)
\(150\) 0.245020 + 0.875488i 0.0200058 + 0.0714833i
\(151\) −16.7480 5.44176i −1.36293 0.442844i −0.465912 0.884831i \(-0.654274\pi\)
−0.897021 + 0.441987i \(0.854274\pi\)
\(152\) −0.765500 0.556169i −0.0620903 0.0451112i
\(153\) 4.50199i 0.363964i
\(154\) −0.590281 8.75509i −0.0475662 0.705505i
\(155\) −14.6980 0.303365i −1.18057 0.0243668i
\(156\) −0.309092 + 0.425429i −0.0247472 + 0.0340616i
\(157\) 2.07604 6.38940i 0.165686 0.509930i −0.833400 0.552670i \(-0.813609\pi\)
0.999086 + 0.0427404i \(0.0136089\pi\)
\(158\) 4.86547 1.58089i 0.387076 0.125769i
\(159\) 1.26347 + 1.73901i 0.100199 + 0.137913i
\(160\) −1.27672 1.83575i −0.100933 0.145129i
\(161\) −15.8809 7.55955i −1.25159 0.595776i
\(162\) −2.68954 + 8.27757i −0.211311 + 0.650347i
\(163\) −7.44836 + 10.2518i −0.583401 + 0.802982i −0.994063 0.108805i \(-0.965297\pi\)
0.410662 + 0.911787i \(0.365297\pi\)
\(164\) −9.11260 −0.711575
\(165\) 0.184642 1.33575i 0.0143744 0.103988i
\(166\) 12.5733i 0.975880i
\(167\) −13.0064 + 17.9018i −1.00647 + 1.38528i −0.0851964 + 0.996364i \(0.527152\pi\)
−0.921272 + 0.388920i \(0.872848\pi\)
\(168\) 0.422589 0.229876i 0.0326034 0.0177353i
\(169\) 1.43252 + 4.40883i 0.110194 + 0.339141i
\(170\) −2.78555 + 1.93727i −0.213642 + 0.148582i
\(171\) −2.27119 + 1.65012i −0.173682 + 0.126188i
\(172\) −1.15216 3.54598i −0.0878512 0.270378i
\(173\) −15.9326 5.17681i −1.21133 0.393586i −0.367414 0.930057i \(-0.619757\pi\)
−0.843918 + 0.536472i \(0.819757\pi\)
\(174\) 0.699373 0.962604i 0.0530193 0.0729748i
\(175\) 9.21933 + 9.48704i 0.696916 + 0.717153i
\(176\) 0.650575 + 3.25219i 0.0490389 + 0.245143i
\(177\) 1.27602i 0.0959114i
\(178\) 4.05737 5.58449i 0.304113 0.418575i
\(179\) −1.98785 + 6.11798i −0.148579 + 0.457279i −0.997454 0.0713146i \(-0.977281\pi\)
0.848875 + 0.528594i \(0.177281\pi\)
\(180\) −6.35053 + 1.91947i −0.473341 + 0.143069i
\(181\) −6.99333 9.62549i −0.519810 0.715457i 0.465725 0.884930i \(-0.345794\pi\)
−0.985535 + 0.169472i \(0.945794\pi\)
\(182\) −0.992816 + 7.58711i −0.0735924 + 0.562394i
\(183\) −0.627619 1.93161i −0.0463949 0.142789i
\(184\) 6.32242 + 2.05428i 0.466095 + 0.151443i
\(185\) 3.80266 + 2.88454i 0.279577 + 0.212075i
\(186\) 1.19542i 0.0876525i
\(187\) 4.93483 0.987173i 0.360870 0.0721892i
\(188\) 3.46012 0.252356
\(189\) −0.525316 2.82201i −0.0382111 0.205271i
\(190\) −1.99832 0.695200i −0.144973 0.0504351i
\(191\) 4.58213 + 14.1023i 0.331551 + 1.02041i 0.968396 + 0.249418i \(0.0802392\pi\)
−0.636845 + 0.770992i \(0.719761\pi\)
\(192\) −0.147100 + 0.106874i −0.0106160 + 0.00771300i
\(193\) −0.845270 + 0.614125i −0.0608439 + 0.0442057i −0.617791 0.786342i \(-0.711972\pi\)
0.556948 + 0.830548i \(0.311972\pi\)
\(194\) −5.22132 16.0696i −0.374869 1.15373i
\(195\) −0.386359 + 1.11057i −0.0276678 + 0.0795296i
\(196\) 3.80327 5.87666i 0.271662 0.419761i
\(197\) 24.2033 1.72442 0.862208 0.506555i \(-0.169081\pi\)
0.862208 + 0.506555i \(0.169081\pi\)
\(198\) 9.77327 + 1.14598i 0.694556 + 0.0814411i
\(199\) 14.9107i 1.05699i −0.848935 0.528497i \(-0.822756\pi\)
0.848935 0.528497i \(-0.177244\pi\)
\(200\) −3.92037 3.10333i −0.277212 0.219439i
\(201\) −0.616354 0.200266i −0.0434743 0.0141256i
\(202\) 0.0632266 + 0.194591i 0.00444861 + 0.0136914i
\(203\) 2.24641 17.1671i 0.157667 1.20489i
\(204\) 0.162170 + 0.223208i 0.0113542 + 0.0156277i
\(205\) −19.5049 + 5.89542i −1.36228 + 0.411754i
\(206\) −4.32903 + 13.3234i −0.301618 + 0.928284i
\(207\) 11.5932 15.9567i 0.805785 1.10907i
\(208\) 2.89211i 0.200531i
\(209\) 2.30678 + 2.12772i 0.159563 + 0.147178i
\(210\) 0.755804 0.765428i 0.0521555 0.0528196i
\(211\) 7.17936 9.88154i 0.494247 0.680273i −0.486917 0.873448i \(-0.661879\pi\)
0.981164 + 0.193175i \(0.0618786\pi\)
\(212\) −11.2434 3.65319i −0.772197 0.250902i
\(213\) 0.249843 + 0.768937i 0.0171190 + 0.0526867i
\(214\) 4.73537 3.44045i 0.323703 0.235184i
\(215\) −4.76019 6.84454i −0.324643 0.466794i
\(216\) 0.335266 + 1.03184i 0.0228120 + 0.0702080i
\(217\) 8.31196 + 15.2802i 0.564252 + 1.03729i
\(218\) 6.30704 8.68089i 0.427166 0.587944i
\(219\) 2.20041i 0.148690i
\(220\) 3.49652 + 6.54021i 0.235736 + 0.440941i
\(221\) −4.38844 −0.295198
\(222\) 0.228125 0.313987i 0.0153108 0.0210735i
\(223\) −9.00900 + 27.7269i −0.603287 + 1.85673i −0.0951272 + 0.995465i \(0.530326\pi\)
−0.508160 + 0.861263i \(0.669674\pi\)
\(224\) −1.13715 + 2.38891i −0.0759793 + 0.159616i
\(225\) −12.3511 + 8.21698i −0.823406 + 0.547799i
\(226\) −5.28039 7.26783i −0.351246 0.483449i
\(227\) 10.1309 3.29174i 0.672414 0.218481i 0.0471429 0.998888i \(-0.484988\pi\)
0.625271 + 0.780408i \(0.284988\pi\)
\(228\) −0.0531650 + 0.163625i −0.00352094 + 0.0108363i
\(229\) 10.9147 15.0228i 0.721263 0.992733i −0.278218 0.960518i \(-0.589744\pi\)
0.999481 0.0322153i \(-0.0102562\pi\)
\(230\) 14.8617 + 0.306744i 0.979953 + 0.0202261i
\(231\) −1.48082 + 0.594000i −0.0974309 + 0.0390823i
\(232\) 6.54387i 0.429626i
\(233\) 18.5434 + 13.4726i 1.21482 + 0.882620i 0.995660 0.0930690i \(-0.0296677\pi\)
0.219162 + 0.975689i \(0.429668\pi\)
\(234\) −8.16073 2.65158i −0.533484 0.173339i
\(235\) 7.40617 2.23853i 0.483125 0.146026i
\(236\) −4.12497 5.67753i −0.268512 0.369576i
\(237\) −0.546755 0.752543i −0.0355155 0.0488829i
\(238\) 3.62489 + 1.72550i 0.234967 + 0.111848i
\(239\) 22.7893 + 7.40470i 1.47412 + 0.478971i 0.932350 0.361557i \(-0.117755\pi\)
0.541770 + 0.840527i \(0.317755\pi\)
\(240\) −0.245715 + 0.323924i −0.0158609 + 0.0209092i
\(241\) 15.2324 0.981204 0.490602 0.871384i \(-0.336777\pi\)
0.490602 + 0.871384i \(0.336777\pi\)
\(242\) −0.886875 10.9642i −0.0570105 0.704805i
\(243\) 4.83736 0.310317
\(244\) 9.03683 + 6.56564i 0.578524 + 0.420322i
\(245\) 4.33873 15.0391i 0.277191 0.960815i
\(246\) 0.512012 + 1.57581i 0.0326447 + 0.100470i
\(247\) −1.60850 2.21391i −0.102346 0.140868i
\(248\) −3.86442 5.31891i −0.245391 0.337751i
\(249\) −2.17426 + 0.706461i −0.137788 + 0.0447702i
\(250\) −10.3990 4.10618i −0.657691 0.259698i
\(251\) −1.82873 + 2.51703i −0.115428 + 0.158873i −0.862822 0.505508i \(-0.831305\pi\)
0.747393 + 0.664382i \(0.231305\pi\)
\(252\) 5.69826 + 5.39897i 0.358957 + 0.340103i
\(253\) −20.0329 9.20894i −1.25946 0.578961i
\(254\) 5.81154 0.364648
\(255\) 0.491518 + 0.372845i 0.0307801 + 0.0233485i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −4.43854 13.6604i −0.276869 0.852114i −0.988719 0.149783i \(-0.952143\pi\)
0.711850 0.702331i \(-0.247857\pi\)
\(258\) −0.548457 + 0.398477i −0.0341455 + 0.0248081i
\(259\) 0.732747 5.59966i 0.0455307 0.347946i
\(260\) −1.87105 6.19036i −0.116038 0.383910i
\(261\) 18.4650 + 5.99965i 1.14296 + 0.371369i
\(262\) 3.85760 + 2.80271i 0.238323 + 0.173152i
\(263\) −1.12693 −0.0694893 −0.0347446 0.999396i \(-0.511062\pi\)
−0.0347446 + 0.999396i \(0.511062\pi\)
\(264\) 0.525836 0.295233i 0.0323630 0.0181704i
\(265\) −26.4291 0.545493i −1.62353 0.0335094i
\(266\) 0.458143 + 2.46116i 0.0280906 + 0.150903i
\(267\) −1.19368 0.387850i −0.0730519 0.0237360i
\(268\) 3.38981 1.10142i 0.207065 0.0672796i
\(269\) 1.48775 + 2.04771i 0.0907096 + 0.124851i 0.851960 0.523607i \(-0.175414\pi\)
−0.761250 + 0.648458i \(0.775414\pi\)
\(270\) 1.38517 + 1.99169i 0.0842985 + 0.121210i
\(271\) 3.84442 + 11.8319i 0.233532 + 0.718738i 0.997313 + 0.0732618i \(0.0233409\pi\)
−0.763781 + 0.645476i \(0.776659\pi\)
\(272\) −1.44312 0.468898i −0.0875020 0.0284311i
\(273\) 1.36780 0.254615i 0.0827828 0.0154100i
\(274\) 5.17611i 0.312700i
\(275\) 11.7153 + 11.7368i 0.706458 + 0.707755i
\(276\) 1.20874i 0.0727575i
\(277\) 10.5099 + 7.63589i 0.631479 + 0.458796i 0.856912 0.515462i \(-0.172380\pi\)
−0.225433 + 0.974259i \(0.572380\pi\)
\(278\) 7.09966 21.8505i 0.425809 1.31051i
\(279\) −18.5516 + 6.02777i −1.11065 + 0.360873i
\(280\) −0.888494 + 5.84898i −0.0530977 + 0.349543i
\(281\) −8.13559 11.1977i −0.485328 0.667997i 0.494189 0.869354i \(-0.335465\pi\)
−0.979518 + 0.201357i \(0.935465\pi\)
\(282\) −0.194415 0.598347i −0.0115772 0.0356311i
\(283\) 16.5588 + 5.38027i 0.984316 + 0.319824i 0.756581 0.653900i \(-0.226868\pi\)
0.227735 + 0.973723i \(0.426868\pi\)
\(284\) −3.59738 2.61365i −0.213466 0.155092i
\(285\) −0.00793858 + 0.384623i −0.000470241 + 0.0227831i
\(286\) −1.11707 + 9.52676i −0.0660539 + 0.563329i
\(287\) 17.5015 + 16.5823i 1.03308 + 0.978822i
\(288\) −2.40030 1.74392i −0.141439 0.102762i
\(289\) 4.54179 13.9782i 0.267164 0.822247i
\(290\) 4.23357 + 14.0067i 0.248604 + 0.822503i
\(291\) −2.48548 + 1.80581i −0.145702 + 0.105858i
\(292\) 7.11324 + 9.79054i 0.416271 + 0.572948i
\(293\) −28.7732 + 9.34899i −1.68095 + 0.546174i −0.985095 0.172009i \(-0.944974\pi\)
−0.695855 + 0.718183i \(0.744974\pi\)
\(294\) −1.22993 0.327493i −0.0717307 0.0190998i
\(295\) −12.5023 9.48371i −0.727912 0.552163i
\(296\) 2.13451i 0.124066i
\(297\) −0.705837 3.52844i −0.0409568 0.204741i
\(298\) 6.23143i 0.360977i
\(299\) 15.5542 + 11.3008i 0.899525 + 0.653543i
\(300\) −0.316374 + 0.852304i −0.0182658 + 0.0492078i
\(301\) −4.23984 + 8.90695i −0.244380 + 0.513388i
\(302\) −10.3508 14.2467i −0.595624 0.819805i
\(303\) 0.0300975 0.0218671i 0.00172906 0.00125623i
\(304\) −0.292395 0.899900i −0.0167700 0.0516128i
\(305\) 23.5904 + 8.20692i 1.35078 + 0.469927i
\(306\) −2.64620 + 3.64219i −0.151273 + 0.208210i
\(307\) 6.44463i 0.367815i −0.982944 0.183907i \(-0.941125\pi\)
0.982944 0.183907i \(-0.0588746\pi\)
\(308\) 4.66856 7.42997i 0.266016 0.423362i
\(309\) 2.54720 0.144905
\(310\) −11.7126 8.88469i −0.665232 0.504616i
\(311\) −3.96585 1.28858i −0.224883 0.0730688i 0.194408 0.980921i \(-0.437721\pi\)
−0.419291 + 0.907852i \(0.637721\pi\)
\(312\) −0.500122 + 0.162499i −0.0283138 + 0.00919972i
\(313\) −4.76103 + 3.45909i −0.269110 + 0.195520i −0.714153 0.699989i \(-0.753188\pi\)
0.445044 + 0.895509i \(0.353188\pi\)
\(314\) 5.43515 3.94887i 0.306723 0.222848i
\(315\) 15.6896 + 7.86964i 0.884010 + 0.443404i
\(316\) 4.86547 + 1.58089i 0.273704 + 0.0889319i
\(317\) −15.4545 + 21.2712i −0.868009 + 1.19471i 0.111591 + 0.993754i \(0.464405\pi\)
−0.979600 + 0.200957i \(0.935595\pi\)
\(318\) 2.14954i 0.120540i
\(319\) 2.52756 21.5559i 0.141516 1.20690i
\(320\) 0.0461423 2.23559i 0.00257943 0.124973i
\(321\) −0.861013 0.625562i −0.0480570 0.0349155i
\(322\) −8.40456 15.4504i −0.468368 0.861017i
\(323\) −1.36549 + 0.443676i −0.0759782 + 0.0246868i
\(324\) −7.04132 + 5.11582i −0.391184 + 0.284212i
\(325\) −8.00973 12.0396i −0.444300 0.667835i
\(326\) −12.0517 + 3.91583i −0.667482 + 0.216878i
\(327\) −1.85553 0.602899i −0.102611 0.0333404i
\(328\) −7.37225 5.35625i −0.407064 0.295750i
\(329\) −6.64547 6.29643i −0.366377 0.347133i
\(330\) 0.934516 0.972118i 0.0514434 0.0535133i
\(331\) −10.3174 −0.567097 −0.283549 0.958958i \(-0.591512\pi\)
−0.283549 + 0.958958i \(0.591512\pi\)
\(332\) 7.39042 10.1720i 0.405602 0.558263i
\(333\) 6.02302 + 1.95700i 0.330059 + 0.107243i
\(334\) −21.0448 + 6.83789i −1.15152 + 0.374152i
\(335\) 6.54309 4.55055i 0.357487 0.248623i
\(336\) 0.476999 + 0.0624180i 0.0260224 + 0.00340518i
\(337\) 7.48306 + 23.0305i 0.407628 + 1.25455i 0.918681 + 0.395001i \(0.129256\pi\)
−0.511052 + 0.859550i \(0.670744\pi\)
\(338\) −1.43252 + 4.40883i −0.0779186 + 0.239809i
\(339\) −0.960111 + 1.32148i −0.0521461 + 0.0717729i
\(340\) −3.39226 0.0700157i −0.183971 0.00379713i
\(341\) 10.6752 + 19.0134i 0.578094 + 1.02964i
\(342\) −2.80735 −0.151804
\(343\) −17.9983 + 4.36578i −0.971819 + 0.235730i
\(344\) 1.15216 3.54598i 0.0621202 0.191186i
\(345\) −0.781995 2.58722i −0.0421012 0.139291i
\(346\) −9.84688 13.5531i −0.529372 0.728618i
\(347\) −10.3736 + 7.53688i −0.556885 + 0.404601i −0.830318 0.557290i \(-0.811841\pi\)
0.273432 + 0.961891i \(0.411841\pi\)
\(348\) 1.13161 0.367682i 0.0606606 0.0197098i
\(349\) −5.86378 + 18.0468i −0.313881 + 0.966026i 0.662332 + 0.749210i \(0.269567\pi\)
−0.976213 + 0.216815i \(0.930433\pi\)
\(350\) 1.88225 + 13.0942i 0.100610 + 0.699913i
\(351\) 3.13777i 0.167482i
\(352\) −1.38526 + 3.01348i −0.0738348 + 0.160619i
\(353\) −27.3606 −1.45626 −0.728129 0.685441i \(-0.759610\pi\)
−0.728129 + 0.685441i \(0.759610\pi\)
\(354\) −0.750025 + 1.03232i −0.0398634 + 0.0548672i
\(355\) −9.39087 3.26701i −0.498416 0.173395i
\(356\) 6.56496 2.13308i 0.347942 0.113053i
\(357\) 0.0947122 0.723792i 0.00501270 0.0383071i
\(358\) −5.20427 + 3.78112i −0.275054 + 0.199838i
\(359\) −0.479141 + 0.155682i −0.0252881 + 0.00821660i −0.321634 0.946864i \(-0.604232\pi\)
0.296346 + 0.955081i \(0.404232\pi\)
\(360\) −6.26593 2.17987i −0.330243 0.114889i
\(361\) 14.6470 + 10.6417i 0.770895 + 0.560088i
\(362\) 11.8978i 0.625333i
\(363\) −1.84617 + 0.769412i −0.0968987 + 0.0403836i
\(364\) −5.26280 + 5.55454i −0.275846 + 0.291137i
\(365\) 21.5594 + 16.3541i 1.12847 + 0.856011i
\(366\) 0.627619 1.93161i 0.0328062 0.100967i
\(367\) 8.08443 + 24.8813i 0.422004 + 1.29879i 0.905834 + 0.423633i \(0.139245\pi\)
−0.483830 + 0.875162i \(0.660755\pi\)
\(368\) 3.90747 + 5.37817i 0.203691 + 0.280356i
\(369\) −21.8730 + 15.8917i −1.13866 + 0.827288i
\(370\) 1.38093 + 4.56879i 0.0717910 + 0.237520i
\(371\) 14.9461 + 27.4759i 0.775962 + 1.42648i
\(372\) −0.702651 + 0.967116i −0.0364307 + 0.0501426i
\(373\) −5.56701 −0.288249 −0.144124 0.989560i \(-0.546037\pi\)
−0.144124 + 0.989560i \(0.546037\pi\)
\(374\) 4.57261 + 2.10198i 0.236444 + 0.108691i
\(375\) −0.125776 + 2.02898i −0.00649507 + 0.104776i
\(376\) 2.79930 + 2.03381i 0.144363 + 0.104886i
\(377\) −5.84832 + 17.9993i −0.301204 + 0.927010i
\(378\) 1.23375 2.59183i 0.0634571 0.133309i
\(379\) −6.16537 + 4.47940i −0.316694 + 0.230091i −0.734763 0.678324i \(-0.762707\pi\)
0.418070 + 0.908415i \(0.362707\pi\)
\(380\) −1.20804 1.73701i −0.0619713 0.0891067i
\(381\) −0.326534 1.00497i −0.0167289 0.0514861i
\(382\) −4.58213 + 14.1023i −0.234442 + 0.721539i
\(383\) −8.97093 6.51776i −0.458393 0.333042i 0.334507 0.942393i \(-0.391430\pi\)
−0.792901 + 0.609351i \(0.791430\pi\)
\(384\) −0.181826 −0.00927876
\(385\) 5.18591 18.9237i 0.264299 0.964441i
\(386\) −1.04481 −0.0531795
\(387\) −8.94944 6.50215i −0.454926 0.330523i
\(388\) 5.22132 16.0696i 0.265072 0.815809i
\(389\) 6.17604 + 19.0079i 0.313138 + 0.963739i 0.976514 + 0.215453i \(0.0691229\pi\)
−0.663376 + 0.748286i \(0.730877\pi\)
\(390\) −0.965348 + 0.671374i −0.0488823 + 0.0339964i
\(391\) 8.16076 5.92914i 0.412707 0.299849i
\(392\) 6.53112 2.51881i 0.329872 0.127219i
\(393\) 0.267915 0.824558i 0.0135145 0.0415934i
\(394\) 19.5809 + 14.2264i 0.986471 + 0.716713i
\(395\) 11.4370 + 0.236058i 0.575457 + 0.0118773i
\(396\) 7.23315 + 6.67170i 0.363480 + 0.335265i
\(397\) 24.2481 1.21698 0.608488 0.793563i \(-0.291776\pi\)
0.608488 + 0.793563i \(0.291776\pi\)
\(398\) 8.76431 12.0630i 0.439315 0.604666i
\(399\) 0.399858 0.217511i 0.0200179 0.0108892i
\(400\) −1.34756 4.81499i −0.0673778 0.240749i
\(401\) 4.06370 2.95245i 0.202932 0.147438i −0.481678 0.876348i \(-0.659973\pi\)
0.684610 + 0.728910i \(0.259973\pi\)
\(402\) −0.380928 0.524302i −0.0189990 0.0261498i
\(403\) −5.87573 18.0836i −0.292691 0.900811i
\(404\) −0.0632266 + 0.194591i −0.00314564 + 0.00968129i
\(405\) −11.7618 + 15.5055i −0.584448 + 0.770472i
\(406\) 11.9080 12.5681i 0.590982 0.623743i
\(407\) 0.824454 7.03121i 0.0408667 0.348524i
\(408\) 0.275900i 0.0136591i
\(409\) 2.20579 + 1.60260i 0.109069 + 0.0792436i 0.640983 0.767555i \(-0.278527\pi\)
−0.531914 + 0.846799i \(0.678527\pi\)
\(410\) −19.2450 6.69521i −0.950445 0.330653i
\(411\) −0.895087 + 0.290831i −0.0441514 + 0.0143457i
\(412\) −11.3335 + 8.23430i −0.558364 + 0.405675i
\(413\) −2.40911 + 18.4104i −0.118544 + 0.905918i
\(414\) 18.7582 6.09492i 0.921917 0.299549i
\(415\) 9.23788 26.5538i 0.453470 1.30348i
\(416\) 1.69994 2.33976i 0.0833463 0.114716i
\(417\) −4.17744 −0.204570
\(418\) 0.615581 + 3.07726i 0.0301090 + 0.150514i
\(419\) 14.4667i 0.706744i −0.935483 0.353372i \(-0.885035\pi\)
0.935483 0.353372i \(-0.114965\pi\)
\(420\) 1.06137 0.174994i 0.0517894 0.00853883i
\(421\) 1.29615 3.98914i 0.0631706 0.194419i −0.914490 0.404608i \(-0.867408\pi\)
0.977661 + 0.210189i \(0.0674080\pi\)
\(422\) 11.6164 3.77441i 0.565480 0.183735i
\(423\) 8.30535 6.03419i 0.403820 0.293392i
\(424\) −6.94877 9.56417i −0.337462 0.464477i
\(425\) −7.30619 + 2.04476i −0.354402 + 0.0991855i
\(426\) −0.249843 + 0.768937i −0.0121049 + 0.0372551i
\(427\) −5.40844 29.0543i −0.261733 1.40604i
\(428\) 5.85324 0.282927
\(429\) 1.71020 0.342111i 0.0825690 0.0165173i
\(430\) 0.172040 8.33532i 0.00829650 0.401965i
\(431\) 6.64902 9.15159i 0.320272 0.440817i −0.618278 0.785959i \(-0.712169\pi\)
0.938550 + 0.345143i \(0.112169\pi\)
\(432\) −0.335266 + 1.03184i −0.0161305 + 0.0496445i
\(433\) −6.48536 19.9599i −0.311667 0.959211i −0.977105 0.212758i \(-0.931755\pi\)
0.665438 0.746453i \(-0.268245\pi\)
\(434\) −2.25694 + 17.2476i −0.108337 + 0.827909i
\(435\) 2.18426 1.51910i 0.104727 0.0728350i
\(436\) 10.2050 3.31580i 0.488731 0.158798i
\(437\) 5.98234 + 1.94378i 0.286174 + 0.0929836i
\(438\) 1.29337 1.78017i 0.0617997 0.0850599i
\(439\) 18.8525 0.899779 0.449889 0.893084i \(-0.351463\pi\)
0.449889 + 0.893084i \(0.351463\pi\)
\(440\) −1.01549 + 7.34634i −0.0484116 + 0.350223i
\(441\) −1.11944 20.7384i −0.0533065 0.987542i
\(442\) −3.55032 2.57946i −0.168872 0.122692i
\(443\) 27.2151 + 8.84272i 1.29303 + 0.420130i 0.873150 0.487451i \(-0.162073\pi\)
0.419877 + 0.907581i \(0.362073\pi\)
\(444\) 0.369114 0.119932i 0.0175174 0.00569174i
\(445\) 12.6719 8.81294i 0.600703 0.417773i
\(446\) −23.5859 + 17.1361i −1.11682 + 0.811420i
\(447\) −1.07758 + 0.350127i −0.0509678 + 0.0165604i
\(448\) −2.32414 + 1.26426i −0.109805 + 0.0597309i
\(449\) 25.0840 + 18.2246i 1.18378 + 0.860070i 0.992594 0.121483i \(-0.0387649\pi\)
0.191191 + 0.981553i \(0.438765\pi\)
\(450\) −14.8221 0.612112i −0.698719 0.0288552i
\(451\) 22.2158 + 20.4913i 1.04610 + 0.964899i
\(452\) 8.98354i 0.422550i
\(453\) −1.88205 + 2.59042i −0.0884263 + 0.121708i
\(454\) 10.1309 + 3.29174i 0.475469 + 0.154489i
\(455\) −7.67115 + 15.2939i −0.359629 + 0.716989i
\(456\) −0.139188 + 0.101126i −0.00651806 + 0.00473565i
\(457\) −0.271535 + 0.197282i −0.0127019 + 0.00922847i −0.594118 0.804378i \(-0.702499\pi\)
0.581416 + 0.813606i \(0.302499\pi\)
\(458\) 17.6603 5.73819i 0.825213 0.268128i
\(459\) 1.56570 + 0.508728i 0.0730807 + 0.0237454i
\(460\) 11.8431 + 8.98367i 0.552187 + 0.418866i
\(461\) −0.305826 −0.0142437 −0.00712186 0.999975i \(-0.502267\pi\)
−0.00712186 + 0.999975i \(0.502267\pi\)
\(462\) −1.54715 0.389849i −0.0719801 0.0181374i
\(463\) 2.02447i 0.0940852i 0.998893 + 0.0470426i \(0.0149797\pi\)
−0.998893 + 0.0470426i \(0.985020\pi\)
\(464\) −3.84639 + 5.29410i −0.178564 + 0.245773i
\(465\) −0.878299 + 2.52463i −0.0407302 + 0.117077i
\(466\) 7.08297 + 21.7991i 0.328112 + 1.00983i
\(467\) −20.0565 + 14.5719i −0.928106 + 0.674309i −0.945528 0.325540i \(-0.894454\pi\)
0.0174221 + 0.999848i \(0.494454\pi\)
\(468\) −5.04361 6.94194i −0.233141 0.320891i
\(469\) −8.51468 4.05311i −0.393171 0.187155i
\(470\) 7.30749 + 2.54222i 0.337069 + 0.117264i
\(471\) −0.988250 0.718006i −0.0455362 0.0330840i
\(472\) 7.01781i 0.323021i
\(473\) −5.16491 + 11.2356i −0.237483 + 0.516615i
\(474\) 0.930195i 0.0427253i
\(475\) −3.70950 2.93641i −0.170203 0.134732i
\(476\) 1.91838 + 3.52662i 0.0879287 + 0.161642i
\(477\) −33.3583 + 10.8388i −1.52737 + 0.496274i
\(478\) 14.0846 + 19.3858i 0.644214 + 0.886684i
\(479\) −8.53693 + 6.20244i −0.390062 + 0.283397i −0.765481 0.643459i \(-0.777499\pi\)
0.375419 + 0.926855i \(0.377499\pi\)
\(480\) −0.389186 + 0.117633i −0.0177638 + 0.00536916i
\(481\) −1.90764 + 5.87110i −0.0869808 + 0.267699i
\(482\) 12.3233 + 8.95337i 0.561309 + 0.407815i
\(483\) −2.19955 + 2.32149i −0.100083 + 0.105631i
\(484\) 5.72709 9.39151i 0.260322 0.426887i
\(485\) 0.779646 37.7738i 0.0354019 1.71522i
\(486\) 3.91351 + 2.84333i 0.177520 + 0.128976i
\(487\) 18.9043 + 6.14237i 0.856634 + 0.278337i 0.704222 0.709980i \(-0.251296\pi\)
0.152412 + 0.988317i \(0.451296\pi\)
\(488\) 3.45176 + 10.6234i 0.156254 + 0.480900i
\(489\) 1.35430 + 1.86404i 0.0612437 + 0.0842948i
\(490\) 12.3499 9.61667i 0.557911 0.434437i
\(491\) −30.4746 + 9.90181i −1.37530 + 0.446863i −0.901122 0.433566i \(-0.857255\pi\)
−0.474179 + 0.880428i \(0.657255\pi\)
\(492\) −0.512012 + 1.57581i −0.0230833 + 0.0710430i
\(493\) 8.03320 + 5.83646i 0.361797 + 0.262861i
\(494\) 2.73654i 0.123123i
\(495\) 19.7983 + 9.60082i 0.889869 + 0.431525i
\(496\) 6.57454i 0.295206i
\(497\) 2.15299 + 11.5659i 0.0965750 + 0.518804i
\(498\) −2.17426 0.706461i −0.0974311 0.0316573i
\(499\) 1.29054 + 3.97187i 0.0577725 + 0.177805i 0.975778 0.218761i \(-0.0702016\pi\)
−0.918006 + 0.396567i \(0.870202\pi\)
\(500\) −5.99942 9.43435i −0.268302 0.421917i
\(501\) 2.36490 + 3.25501i 0.105656 + 0.145423i
\(502\) −2.95895 + 0.961420i −0.132064 + 0.0429103i
\(503\) 1.91850 + 0.623358i 0.0855417 + 0.0277942i 0.351475 0.936197i \(-0.385680\pi\)
−0.265933 + 0.963991i \(0.585680\pi\)
\(504\) 1.43656 + 7.71722i 0.0639893 + 0.343752i
\(505\) −0.00944098 + 0.457415i −0.000420118 + 0.0203547i
\(506\) −10.7941 19.2253i −0.479857 0.854667i
\(507\) 0.842893 0.0374342
\(508\) 4.70163 + 3.41594i 0.208601 + 0.151558i
\(509\) 7.29132 + 2.36909i 0.323182 + 0.105008i 0.466115 0.884724i \(-0.345653\pi\)
−0.142933 + 0.989732i \(0.545653\pi\)
\(510\) 0.178494 + 0.590545i 0.00790384 + 0.0261498i
\(511\) 4.15436 31.7476i 0.183778 1.40443i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) 0.317232 + 0.976340i 0.0140061 + 0.0431065i
\(514\) 4.43854 13.6604i 0.195776 0.602536i
\(515\) −18.9315 + 24.9572i −0.834221 + 1.09975i
\(516\) −0.677930 −0.0298442
\(517\) −8.43550 7.78071i −0.370993 0.342195i
\(518\) 3.88420 4.09952i 0.170662 0.180123i
\(519\) −1.79042 + 2.46430i −0.0785906 + 0.108171i
\(520\) 2.12489 6.10788i 0.0931825 0.267848i
\(521\) −24.5458 + 7.97541i −1.07537 + 0.349409i −0.792577 0.609772i \(-0.791261\pi\)
−0.282793 + 0.959181i \(0.591261\pi\)
\(522\) 11.4120 + 15.7073i 0.499490 + 0.687489i
\(523\) 12.8303 + 17.6594i 0.561030 + 0.772191i 0.991457 0.130434i \(-0.0416371\pi\)
−0.430427 + 0.902625i \(0.641637\pi\)
\(524\) 1.47347 + 4.53488i 0.0643689 + 0.198107i
\(525\) 2.15857 1.06122i 0.0942077 0.0463152i
\(526\) −0.911703 0.662391i −0.0397521 0.0288816i
\(527\) −9.97611 −0.434566
\(528\) 0.598944 + 0.0702300i 0.0260657 + 0.00305637i
\(529\) −21.1930 −0.921436
\(530\) −21.0609 15.9759i −0.914829 0.693950i
\(531\) −19.8023 6.43417i −0.859349 0.279219i
\(532\) −1.07599 + 2.26041i −0.0466500 + 0.0980012i
\(533\) −15.4909 21.3213i −0.670983 0.923529i
\(534\) −0.737734 1.01540i −0.0319249 0.0439408i
\(535\) 12.5285 3.78677i 0.541653 0.163716i
\(536\) 3.38981 + 1.10142i 0.146417 + 0.0475739i
\(537\) 0.946269 + 0.687505i 0.0408345 + 0.0296680i
\(538\) 2.53111i 0.109124i
\(539\) −22.4868 + 5.77447i −0.968574 + 0.248724i
\(540\) −0.0500618 + 2.42549i −0.00215432 + 0.104376i
\(541\) −6.80734 + 9.36950i −0.292670 + 0.402826i −0.929879 0.367865i \(-0.880089\pi\)
0.637209 + 0.770691i \(0.280089\pi\)
\(542\) −3.84442 + 11.8319i −0.165132 + 0.508224i
\(543\) −2.05744 + 0.668503i −0.0882932 + 0.0286882i
\(544\) −0.891897 1.22759i −0.0382398 0.0526325i
\(545\) 19.6979 13.6994i 0.843767 0.586818i
\(546\) 1.25623 + 0.597983i 0.0537617 + 0.0255913i
\(547\) 5.51232 16.9652i 0.235690 0.725378i −0.761339 0.648353i \(-0.775458\pi\)
0.997029 0.0770249i \(-0.0245421\pi\)
\(548\) 3.04244 4.18756i 0.129967 0.178884i
\(549\) 33.1411 1.41443
\(550\) 2.57914 + 16.3813i 0.109975 + 0.698502i
\(551\) 6.19188i 0.263783i
\(552\) 0.710478 0.977890i 0.0302400 0.0416217i
\(553\) −6.46780 11.8900i −0.275039 0.505613i
\(554\) 4.01443 + 12.3551i 0.170557 + 0.524919i
\(555\) 0.712474 0.495507i 0.0302428 0.0210331i
\(556\) 18.5871 13.5044i 0.788271 0.572712i
\(557\) 7.88740 + 24.2749i 0.334200 + 1.02856i 0.967115 + 0.254340i \(0.0818584\pi\)
−0.632915 + 0.774222i \(0.718142\pi\)
\(558\) −18.5516 6.02777i −0.785350 0.255176i
\(559\) 6.33815 8.72372i 0.268075 0.368974i
\(560\) −4.15675 + 4.20968i −0.175655 + 0.177892i
\(561\) 0.106566 0.908830i 0.00449922 0.0383708i
\(562\) 13.8411i 0.583851i
\(563\) 4.78027 6.57948i 0.201465 0.277292i −0.696316 0.717735i \(-0.745179\pi\)
0.897780 + 0.440443i \(0.145179\pi\)
\(564\) 0.194415 0.598347i 0.00818634 0.0251950i
\(565\) −5.81192 19.2287i −0.244509 0.808956i
\(566\) 10.2339 + 14.0857i 0.430162 + 0.592067i
\(567\) 22.8328 + 2.98780i 0.958886 + 0.125476i
\(568\) −1.37408 4.22898i −0.0576551 0.177444i
\(569\) 4.84318 + 1.57364i 0.203037 + 0.0659706i 0.408770 0.912638i \(-0.365958\pi\)
−0.205733 + 0.978608i \(0.565958\pi\)
\(570\) −0.232498 + 0.306501i −0.00973829 + 0.0128379i
\(571\) 41.3329i 1.72973i −0.502005 0.864865i \(-0.667404\pi\)
0.502005 0.864865i \(-0.332596\pi\)
\(572\) −6.50342 + 7.05071i −0.271922 + 0.294805i
\(573\) 2.69613 0.112632
\(574\) 4.41221 + 23.7025i 0.184162 + 0.989324i
\(575\) 31.1613 + 11.5670i 1.29952 + 0.482378i
\(576\) −0.916835 2.82173i −0.0382014 0.117572i
\(577\) 15.1825 11.0307i 0.632055 0.459215i −0.225057 0.974346i \(-0.572257\pi\)
0.857111 + 0.515131i \(0.172257\pi\)
\(578\) 11.8906 8.63900i 0.494582 0.359335i
\(579\) 0.0587051 + 0.180676i 0.00243970 + 0.00750862i
\(580\) −4.80791 + 13.8201i −0.199638 + 0.573848i
\(581\) −32.7041 + 6.08785i −1.35680 + 0.252567i
\(582\) −3.07223 −0.127348
\(583\) 19.1955 + 34.1889i 0.794997 + 1.41596i
\(584\) 12.1018i 0.500775i
\(585\) −15.2866 11.5958i −0.632024 0.479426i
\(586\) −28.7732 9.34899i −1.18861 0.386203i
\(587\) −5.80271 17.8589i −0.239503 0.737116i −0.996492 0.0836875i \(-0.973330\pi\)
0.756989 0.653428i \(-0.226670\pi\)
\(588\) −0.802535 0.987880i −0.0330960 0.0407395i
\(589\) −3.65655 5.03281i −0.150666 0.207373i
\(590\) −4.54019 15.0212i −0.186916 0.618411i
\(591\) 1.35992 4.18540i 0.0559395 0.172164i
\(592\) −1.25464 + 1.72686i −0.0515652 + 0.0709735i
\(593\) 25.7961i 1.05932i 0.848211 + 0.529659i \(0.177680\pi\)
−0.848211 + 0.529659i \(0.822320\pi\)
\(594\) 1.50293 3.26945i 0.0616661 0.134147i
\(595\) 6.38771 + 6.30740i 0.261871 + 0.258578i
\(596\) 3.66274 5.04134i 0.150032 0.206501i
\(597\) −2.57846 0.837793i −0.105529 0.0342886i
\(598\) 5.94119 + 18.2851i 0.242953 + 0.747733i
\(599\) −26.4118 + 19.1893i −1.07916 + 0.784053i −0.977536 0.210770i \(-0.932403\pi\)
−0.101621 + 0.994823i \(0.532403\pi\)
\(600\) −0.756924 + 0.503569i −0.0309013 + 0.0205581i
\(601\) 2.12154 + 6.52944i 0.0865395 + 0.266341i 0.984957 0.172802i \(-0.0552820\pi\)
−0.898417 + 0.439143i \(0.855282\pi\)
\(602\) −8.66547 + 4.71376i −0.353178 + 0.192119i
\(603\) 6.21579 8.55530i 0.253126 0.348399i
\(604\) 17.6099i 0.716536i
\(605\) 6.18260 23.8070i 0.251359 0.967894i
\(606\) 0.0372026 0.00151125
\(607\) −5.70852 + 7.85711i −0.231702 + 0.318910i −0.908998 0.416800i \(-0.863151\pi\)
0.677296 + 0.735710i \(0.263151\pi\)
\(608\) 0.292395 0.899900i 0.0118582 0.0364958i
\(609\) −2.84243 1.35304i −0.115181 0.0548278i
\(610\) 14.2611 + 20.5056i 0.577416 + 0.830248i
\(611\) 5.88200 + 8.09587i 0.237960 + 0.327524i
\(612\) −4.28165 + 1.39119i −0.173075 + 0.0562356i
\(613\) 6.86550 21.1298i 0.277295 0.853426i −0.711308 0.702880i \(-0.751897\pi\)
0.988603 0.150546i \(-0.0481031\pi\)
\(614\) 3.78806 5.21382i 0.152874 0.210413i
\(615\) −0.0764535 + 3.70416i −0.00308290 + 0.149366i
\(616\) 8.14418 3.26686i 0.328138 0.131626i
\(617\) 27.5487i 1.10907i 0.832160 + 0.554535i \(0.187104\pi\)
−0.832160 + 0.554535i \(0.812896\pi\)
\(618\) 2.06073 + 1.49721i 0.0828947 + 0.0602265i
\(619\) 18.8510 + 6.12505i 0.757684 + 0.246187i 0.662285 0.749252i \(-0.269587\pi\)
0.0953999 + 0.995439i \(0.469587\pi\)
\(620\) −4.25341 14.0724i −0.170821 0.565160i
\(621\) −4.23938 5.83501i −0.170121 0.234151i
\(622\) −2.45103 3.37355i −0.0982774 0.135267i
\(623\) −16.4902 7.84956i −0.660665 0.314486i
\(624\) −0.500122 0.162499i −0.0200209 0.00650519i
\(625\) −18.9449 16.3123i −0.757797 0.652490i
\(626\) −5.88496 −0.235210
\(627\) 0.497552 0.279353i 0.0198703 0.0111563i
\(628\) 6.71822 0.268086
\(629\) 2.62031 + 1.90377i 0.104479 + 0.0759082i
\(630\) 8.06752 + 15.5888i 0.321418 + 0.621073i
\(631\) 2.70733 + 8.33229i 0.107777 + 0.331703i 0.990372 0.138430i \(-0.0442057\pi\)
−0.882595 + 0.470134i \(0.844206\pi\)
\(632\) 3.00703 + 4.13882i 0.119613 + 0.164633i
\(633\) −1.30539 1.79672i −0.0518847 0.0714131i
\(634\) −25.0058 + 8.12489i −0.993109 + 0.322681i
\(635\) 12.2735 + 4.26985i 0.487058 + 0.169444i
\(636\) −1.26347 + 1.73901i −0.0500997 + 0.0689563i
\(637\) 20.2153 1.09120i 0.800960 0.0432350i
\(638\) 14.7151 15.9534i 0.582575 0.631602i
\(639\) −13.1928 −0.521900
\(640\) 1.35138 1.78151i 0.0534179 0.0704204i
\(641\) 11.6391 35.8214i 0.459715 1.41486i −0.405793 0.913965i \(-0.633005\pi\)
0.865509 0.500894i \(-0.166995\pi\)
\(642\) −0.328878 1.01218i −0.0129798 0.0399476i
\(643\) 12.7351 9.25260i 0.502224 0.364887i −0.307642 0.951502i \(-0.599540\pi\)
0.809866 + 0.586615i \(0.199540\pi\)
\(644\) 2.28208 17.4397i 0.0899267 0.687221i
\(645\) −1.45106 + 0.438588i −0.0571356 + 0.0172694i
\(646\) −1.36549 0.443676i −0.0537247 0.0174562i
\(647\) −19.5044 14.1708i −0.766799 0.557112i 0.134189 0.990956i \(-0.457157\pi\)
−0.900988 + 0.433844i \(0.857157\pi\)
\(648\) −8.70355 −0.341908
\(649\) −2.71062 + 23.1171i −0.106401 + 0.907424i
\(650\) 0.596673 14.4482i 0.0234034 0.566706i
\(651\) 3.10937 0.578808i 0.121866 0.0226853i
\(652\) −12.0517 3.91583i −0.471981 0.153356i
\(653\) 10.8972 3.54072i 0.426441 0.138559i −0.0879303 0.996127i \(-0.528025\pi\)
0.514371 + 0.857568i \(0.328025\pi\)
\(654\) −1.14678 1.57841i −0.0448427 0.0617207i
\(655\) 6.08771 + 8.75334i 0.237867 + 0.342021i
\(656\) −2.81595 8.66660i −0.109944 0.338374i
\(657\) 34.1479 + 11.0953i 1.33224 + 0.432870i
\(658\) −1.67535 9.00003i −0.0653119 0.350858i
\(659\) 17.3513i 0.675912i −0.941162 0.337956i \(-0.890264\pi\)
0.941162 0.337956i \(-0.109736\pi\)
\(660\) 1.32744 0.237166i 0.0516704 0.00923166i
\(661\) 32.5079i 1.26441i −0.774801 0.632205i \(-0.782150\pi\)
0.774801 0.632205i \(-0.217850\pi\)
\(662\) −8.34698 6.06444i −0.324415 0.235701i
\(663\) −0.246574 + 0.758878i −0.00957616 + 0.0294724i
\(664\) 11.9580 3.88538i 0.464059 0.150782i
\(665\) −0.840702 + 5.53437i −0.0326010 + 0.214614i
\(666\) 3.72243 + 5.12349i 0.144241 + 0.198531i
\(667\) −13.4429 41.3731i −0.520512 1.60197i
\(668\) −21.0448 6.83789i −0.814250 0.264566i
\(669\) 4.28852 + 3.11579i 0.165804 + 0.120463i
\(670\) 7.96822 + 0.164463i 0.307839 + 0.00635376i
\(671\) −7.26701 36.3274i −0.280540 1.40240i
\(672\) 0.349212 + 0.330870i 0.0134711 + 0.0127636i
\(673\) −22.0671 16.0327i −0.850626 0.618016i 0.0746929 0.997207i \(-0.476202\pi\)
−0.925318 + 0.379191i \(0.876202\pi\)
\(674\) −7.48306 + 23.0305i −0.288237 + 0.887102i
\(675\) 1.46202 + 5.22399i 0.0562732 + 0.201071i
\(676\) −3.75038 + 2.72481i −0.144245 + 0.104800i
\(677\) 12.7840 + 17.5957i 0.491329 + 0.676256i 0.980632 0.195857i \(-0.0627490\pi\)
−0.489303 + 0.872114i \(0.662749\pi\)
\(678\) −1.55349 + 0.504760i −0.0596615 + 0.0193852i
\(679\) −39.2700 + 21.3617i −1.50704 + 0.819787i
\(680\) −2.70324 2.05056i −0.103664 0.0786354i
\(681\) 1.93686i 0.0742207i
\(682\) −2.53941 + 21.6569i −0.0972390 + 0.829286i
\(683\) 4.92548i 0.188468i 0.995550 + 0.0942342i \(0.0300403\pi\)
−0.995550 + 0.0942342i \(0.969960\pi\)
\(684\) −2.27119 1.65012i −0.0868412 0.0630939i
\(685\) 3.80299 10.9315i 0.145305 0.417671i
\(686\) −17.1271 7.04717i −0.653916 0.269062i
\(687\) −1.98457 2.73153i −0.0757161 0.104214i
\(688\) 3.01639 2.19153i 0.114999 0.0835515i
\(689\) −10.5654 32.5170i −0.402510 1.23880i
\(690\) 0.888084 2.55275i 0.0338088 0.0971816i
\(691\) 15.4002 21.1965i 0.585850 0.806354i −0.408471 0.912771i \(-0.633938\pi\)
0.994322 + 0.106417i \(0.0339380\pi\)
\(692\) 16.7525i 0.636835i
\(693\) −1.75133 25.9758i −0.0665274 0.986740i
\(694\) −12.8225 −0.486736
\(695\) 31.0479 40.9302i 1.17771 1.55257i
\(696\) 1.13161 + 0.367682i 0.0428935 + 0.0139370i
\(697\) −13.1506 + 4.27288i −0.498114 + 0.161847i
\(698\) −15.3516 + 11.1536i −0.581065 + 0.422169i
\(699\) 3.37168 2.44967i 0.127528 0.0926549i
\(700\) −6.17379 + 11.6998i −0.233347 + 0.442209i
\(701\) −10.4601 3.39871i −0.395074 0.128367i 0.104741 0.994500i \(-0.466599\pi\)
−0.499815 + 0.866132i \(0.666599\pi\)
\(702\) −1.84434 + 2.53851i −0.0696100 + 0.0958099i
\(703\) 2.01970i 0.0761744i
\(704\) −2.89198 + 1.62372i −0.108996 + 0.0611961i
\(705\) 0.0290300 1.40650i 0.00109333 0.0529718i
\(706\) −22.1352 16.0822i −0.833069 0.605260i
\(707\) 0.475532 0.258676i 0.0178842 0.00972850i
\(708\) −1.21357 + 0.394311i −0.0456086 + 0.0148191i
\(709\) −15.1027 + 10.9727i −0.567193 + 0.412090i −0.834085 0.551636i \(-0.814004\pi\)
0.266891 + 0.963727i \(0.414004\pi\)
\(710\) −5.67707 8.16288i −0.213057 0.306348i
\(711\) 14.4356 4.69040i 0.541376 0.175904i
\(712\) 6.56496 + 2.13308i 0.246032 + 0.0799407i
\(713\) 35.3590 + 25.6898i 1.32420 + 0.962091i
\(714\) 0.502058 0.529889i 0.0187890 0.0198306i
\(715\) −9.35867 + 19.2990i −0.349994 + 0.721741i
\(716\) −6.43283 −0.240406
\(717\) 2.56094 3.52483i 0.0956401 0.131637i
\(718\) −0.479141 0.155682i −0.0178814 0.00581001i
\(719\) 2.29285 0.744993i 0.0855090 0.0277836i −0.265950 0.963987i \(-0.585686\pi\)
0.351459 + 0.936203i \(0.385686\pi\)
\(720\) −3.78794 5.44657i −0.141168 0.202982i
\(721\) 36.7511 + 4.80909i 1.36868 + 0.179100i
\(722\) 5.59466 + 17.2186i 0.208212 + 0.640809i
\(723\) 0.855865 2.63408i 0.0318300 0.0979626i
\(724\) 6.99333 9.62549i 0.259905 0.357729i
\(725\) −1.35007 + 32.6915i −0.0501404 + 1.21413i
\(726\) −1.94583 0.462683i −0.0722165 0.0171718i
\(727\) 6.53792 0.242478 0.121239 0.992623i \(-0.461313\pi\)
0.121239 + 0.992623i \(0.461313\pi\)
\(728\) −7.52257 + 1.40032i −0.278805 + 0.0518994i
\(729\) −7.79683 + 23.9962i −0.288772 + 0.888748i
\(730\) 7.82927 + 25.9030i 0.289774 + 0.958714i
\(731\) −3.32540 4.57703i −0.122995 0.169287i
\(732\) 1.64313 1.19380i 0.0607318 0.0441242i
\(733\) −1.95032 + 0.633698i −0.0720367 + 0.0234062i −0.344814 0.938671i \(-0.612058\pi\)
0.272777 + 0.962077i \(0.412058\pi\)
\(734\) −8.08443 + 24.8813i −0.298402 + 0.918387i
\(735\) −2.35688 1.59529i −0.0869350 0.0588431i
\(736\) 6.64778i 0.245041i
\(737\) −10.7408 4.93743i −0.395642 0.181873i
\(738\) −27.0365 −0.995229
\(739\) −24.4085 + 33.5954i −0.897882 + 1.23583i 0.0732568 + 0.997313i \(0.476661\pi\)
−0.971139 + 0.238515i \(0.923339\pi\)
\(740\) −1.56827 + 4.50791i −0.0576508 + 0.165714i
\(741\) −0.473221 + 0.153759i −0.0173842 + 0.00564847i
\(742\) −4.05830 + 31.0136i −0.148985 + 1.13854i
\(743\) 0.909631 0.660886i 0.0333711 0.0242455i −0.570975 0.820968i \(-0.693435\pi\)
0.604346 + 0.796722i \(0.293435\pi\)
\(744\) −1.13691 + 0.369405i −0.0416812 + 0.0135431i
\(745\) 4.57836 13.1603i 0.167738 0.482155i
\(746\) −4.50381 3.27221i −0.164896 0.119804i
\(747\) 37.3043i 1.36489i
\(748\) 2.46380 + 4.38825i 0.0900856 + 0.160450i
\(749\) −11.2417 10.6512i −0.410761 0.389187i
\(750\) −1.29436 + 1.56755i −0.0472633 + 0.0572388i
\(751\) −10.7891 + 33.2055i −0.393701 + 1.21169i 0.536268 + 0.844048i \(0.319834\pi\)
−0.929969 + 0.367639i \(0.880166\pi\)
\(752\) 1.06924 + 3.29077i 0.0389911 + 0.120002i
\(753\) 0.332510 + 0.457661i 0.0121173 + 0.0166781i
\(754\) −15.3111 + 11.1242i −0.557598 + 0.405118i
\(755\) −11.3928 37.6928i −0.414625 1.37178i
\(756\) 2.52156 1.37166i 0.0917083 0.0498866i
\(757\) 5.87413 8.08505i 0.213499 0.293856i −0.688814 0.724939i \(-0.741868\pi\)
0.902313 + 0.431082i \(0.141868\pi\)
\(758\) −7.62082 −0.276800
\(759\) −2.71807 + 2.94680i −0.0986595 + 0.106962i
\(760\) 0.0436604 2.11534i 0.00158373 0.0767315i
\(761\) 22.7892 + 16.5573i 0.826109 + 0.600203i 0.918456 0.395524i \(-0.129437\pi\)
−0.0923470 + 0.995727i \(0.529437\pi\)
\(762\) 0.326534 1.00497i 0.0118291 0.0364062i
\(763\) −25.6334 12.2019i −0.927991 0.441737i
\(764\) −11.9962 + 8.71573i −0.434006 + 0.315324i
\(765\) −8.26455 + 5.74777i −0.298805 + 0.207811i
\(766\) −3.42659 10.5460i −0.123808 0.381041i
\(767\) 6.27189 19.3029i 0.226465 0.696987i
\(768\) −0.147100 0.106874i −0.00530802 0.00385650i
\(769\) −31.5794 −1.13878 −0.569391 0.822067i \(-0.692821\pi\)
−0.569391 + 0.822067i \(0.692821\pi\)
\(770\) 15.3186 12.2614i 0.552043 0.441870i
\(771\) −2.61164 −0.0940559
\(772\) −0.845270 0.614125i −0.0304219 0.0221028i
\(773\) −8.11197 + 24.9661i −0.291767 + 0.897967i 0.692521 + 0.721398i \(0.256500\pi\)
−0.984288 + 0.176569i \(0.943500\pi\)
\(774\) −3.41838 10.5207i −0.122871 0.378159i
\(775\) −18.2083 27.3692i −0.654061 0.983131i
\(776\) 13.6696 9.93154i 0.490710 0.356522i
\(777\) −0.927158 0.441341i −0.0332616 0.0158330i
\(778\) −6.17604 + 19.0079i −0.221422 + 0.681467i
\(779\) −6.97570 5.06814i −0.249930 0.181585i
\(780\) −1.17561 0.0242644i −0.0420935 0.000868804i
\(781\) 2.89285 + 14.4612i 0.103514 + 0.517464i
\(782\) 10.0873 0.360719
\(783\) 4.17312 5.74380i 0.149135 0.205267i
\(784\) 6.76431 + 1.80114i 0.241583 + 0.0643263i
\(785\) 14.3799 4.34636i 0.513240 0.155128i
\(786\) 0.701411 0.509605i 0.0250185 0.0181770i
\(787\) −29.5423 40.6614i −1.05307 1.44942i −0.886119 0.463458i \(-0.846608\pi\)
−0.166949 0.985966i \(-0.553392\pi\)
\(788\) 7.47924 + 23.0187i 0.266437 + 0.820008i
\(789\) −0.0633189 + 0.194876i −0.00225421 + 0.00693775i
\(790\) 9.11395 + 6.91346i 0.324260 + 0.245970i
\(791\) −16.3474 + 17.2537i −0.581248 + 0.613469i
\(792\) 1.93022 + 9.64906i 0.0685872 + 0.342864i
\(793\) 32.3052i 1.14719i
\(794\) 19.6171 + 14.2527i 0.696185 + 0.505808i
\(795\) −1.57931 + 4.53964i −0.0560123 + 0.161004i
\(796\) 14.1810 4.60767i 0.502631 0.163315i
\(797\) 23.0191 16.7244i 0.815380 0.592408i −0.100006 0.994987i \(-0.531886\pi\)
0.915385 + 0.402579i \(0.131886\pi\)
\(798\) 0.451342 + 0.0590606i 0.0159773 + 0.00209072i
\(799\) 4.99337 1.62245i 0.176653 0.0573980i
\(800\) 1.73998 4.68748i 0.0615177 0.165727i
\(801\) 12.0380 16.5688i 0.425341 0.585431i
\(802\) 5.02301 0.177369
\(803\) 4.67430 39.8639i 0.164952 1.40677i
\(804\) 0.648073i 0.0228558i
\(805\) −6.39800 38.8049i −0.225500 1.36769i
\(806\) 5.87573 18.0836i 0.206964 0.636969i
\(807\) 0.437696 0.142216i 0.0154076 0.00500624i
\(808\) −0.165529 + 0.120264i −0.00582330 + 0.00423088i
\(809\) −28.6390 39.4182i −1.00689 1.38587i −0.920999 0.389565i \(-0.872625\pi\)
−0.0858938 0.996304i \(-0.527375\pi\)
\(810\) −18.6294 + 5.63078i −0.654569 + 0.197845i
\(811\) 11.6023 35.7082i 0.407412 1.25389i −0.511452 0.859312i \(-0.670892\pi\)
0.918864 0.394574i \(-0.129108\pi\)
\(812\) 17.0211 3.16846i 0.597322 0.111191i
\(813\) 2.26206 0.0793339
\(814\) 4.79984 5.20377i 0.168234 0.182392i
\(815\) −28.3292 0.584711i −0.992329 0.0204815i
\(816\) −0.162170 + 0.223208i −0.00567708 + 0.00781383i
\(817\) 1.09018 3.35524i 0.0381407 0.117385i
\(818\) 0.842538 + 2.59307i 0.0294587 + 0.0906644i
\(819\) −2.94563 + 22.5105i −0.102929 + 0.786581i
\(820\) −11.6342 16.7285i −0.406285 0.584184i
\(821\) −33.7030 + 10.9508i −1.17624 + 0.382185i −0.830970 0.556317i \(-0.812214\pi\)
−0.345274 + 0.938502i \(0.612214\pi\)
\(822\) −0.895087 0.290831i −0.0312197 0.0101439i
\(823\) −20.4403 + 28.1336i −0.712503 + 0.980676i 0.287237 + 0.957860i \(0.407263\pi\)
−0.999740 + 0.0228165i \(0.992737\pi\)
\(824\) −14.0090 −0.488028
\(825\) 2.68785 1.36642i 0.0935790 0.0475728i
\(826\) −12.7704 + 13.4783i −0.444339 + 0.468970i
\(827\) −17.4625 12.6873i −0.607232 0.441180i 0.241206 0.970474i \(-0.422457\pi\)
−0.848439 + 0.529294i \(0.822457\pi\)
\(828\) 18.7582 + 6.09492i 0.651894 + 0.211813i
\(829\) 15.3493 4.98730i 0.533105 0.173216i −0.0300796 0.999548i \(-0.509576\pi\)
0.563184 + 0.826331i \(0.309576\pi\)
\(830\) 23.0815 16.0526i 0.801172 0.557194i
\(831\) 1.91097 1.38840i 0.0662909 0.0481631i
\(832\) 2.75056 0.893710i 0.0953584 0.0309838i
\(833\) 2.73302 10.2641i 0.0946936 0.355629i
\(834\) −3.37962 2.45544i −0.117027 0.0850249i
\(835\) −49.4689 1.02103i −1.71194 0.0353342i
\(836\) −1.31075 + 2.85138i −0.0453333 + 0.0986172i
\(837\) 7.13300i 0.246553i
\(838\) 8.50331 11.7038i 0.293742 0.404301i
\(839\) 50.8166 + 16.5113i 1.75438 + 0.570034i 0.996594 0.0824644i \(-0.0262791\pi\)
0.757790 + 0.652498i \(0.226279\pi\)
\(840\) 0.961522 + 0.482282i 0.0331757 + 0.0166403i
\(841\) 11.1824 8.12451i 0.385601 0.280155i
\(842\) 3.39337 2.46543i 0.116943 0.0849642i
\(843\) −2.39349 + 0.777693i −0.0824362 + 0.0267852i
\(844\) 11.6164 + 3.77441i 0.399854 + 0.129921i
\(845\) −6.26461 + 8.25858i −0.215509 + 0.284104i
\(846\) 10.2660 0.352952
\(847\) −28.0892 + 7.61555i −0.965157 + 0.261673i
\(848\) 11.8220i 0.405968i
\(849\) 1.86078 2.56115i 0.0638619 0.0878983i
\(850\) −7.11271 2.64022i −0.243964 0.0905590i
\(851\) −4.38489 13.4953i −0.150312 0.462613i
\(852\) −0.654097 + 0.475229i −0.0224090 + 0.0162811i
\(853\) 1.01064 + 1.39103i 0.0346038 + 0.0476281i 0.825968 0.563717i \(-0.190629\pi\)
−0.791365 + 0.611345i \(0.790629\pi\)
\(854\) 12.7022 26.6844i 0.434659 0.913122i
\(855\) −5.92888 2.06262i −0.202764 0.0705400i
\(856\) 4.73537 + 3.44045i 0.161852 + 0.117592i
\(857\) 11.6384i 0.397559i 0.980044 + 0.198779i \(0.0636978\pi\)
−0.980044 + 0.198779i \(0.936302\pi\)
\(858\) 1.58467 + 0.728454i 0.0540996 + 0.0248690i
\(859\) 1.51165i 0.0515768i −0.999667 0.0257884i \(-0.991790\pi\)
0.999667 0.0257884i \(-0.00820961\pi\)
\(860\) 5.03856 6.64229i 0.171813 0.226500i
\(861\) 3.85088 2.09477i 0.131238 0.0713895i
\(862\) 10.7583 3.49560i 0.366431 0.119060i
\(863\) 31.8152 + 43.7899i 1.08300 + 1.49063i 0.856171 + 0.516692i \(0.172837\pi\)
0.226832 + 0.973934i \(0.427163\pi\)
\(864\) −0.877737 + 0.637714i −0.0298612 + 0.0216955i
\(865\) −10.8381 35.8576i −0.368506 1.21920i
\(866\) 6.48536 19.9599i 0.220382 0.678265i
\(867\) −2.16201 1.57079i −0.0734257 0.0533469i
\(868\) −11.9638 + 12.6270i −0.406077 + 0.428587i
\(869\) −8.30670 14.7950i −0.281786 0.501885i
\(870\) 2.66001 + 0.0549022i 0.0901826 + 0.00186136i
\(871\) 8.33951 + 6.05901i 0.282574 + 0.205302i
\(872\) 10.2050 + 3.31580i 0.345585 + 0.112287i
\(873\) −15.4913 47.6774i −0.524302 1.61364i
\(874\) 3.69729 + 5.08888i 0.125063 + 0.172134i
\(875\) −5.64539 + 29.0367i −0.190849 + 0.981619i
\(876\) 2.09272 0.679965i 0.0707064 0.0229739i
\(877\) 0.924811 2.84628i 0.0312287 0.0961119i −0.934227 0.356678i \(-0.883909\pi\)
0.965456 + 0.260566i \(0.0839093\pi\)
\(878\) 15.2520 + 11.0812i 0.514729 + 0.373972i
\(879\) 5.50095i 0.185542i
\(880\) −5.13962 + 5.34643i −0.173257 + 0.180228i
\(881\) 50.0834i 1.68735i 0.536853 + 0.843676i \(0.319613\pi\)
−0.536853 + 0.843676i \(0.680387\pi\)
\(882\) 11.2841 17.4357i 0.379955 0.587090i
\(883\) −46.5475 15.1242i −1.56645 0.508970i −0.607927 0.793993i \(-0.707999\pi\)
−0.958521 + 0.285023i \(0.907999\pi\)
\(884\) −1.35610 4.17366i −0.0456107 0.140375i
\(885\) −2.34246 + 1.62912i −0.0787408 + 0.0547621i
\(886\) 16.8198 + 23.1505i 0.565074 + 0.777757i
\(887\) −15.3113 + 4.97493i −0.514102 + 0.167042i −0.554567 0.832139i \(-0.687116\pi\)
0.0404649 + 0.999181i \(0.487116\pi\)
\(888\) 0.369114 + 0.119932i 0.0123867 + 0.00402467i
\(889\) −2.81387 15.1162i −0.0943743 0.506981i
\(890\) 15.4319 + 0.318512i 0.517277 + 0.0106765i
\(891\) 28.6700 + 3.36174i 0.960481 + 0.112622i
\(892\) −29.1537 −0.976140
\(893\) 2.64873 + 1.92441i 0.0886363 + 0.0643980i
\(894\) −1.07758 0.350127i −0.0360397 0.0117100i
\(895\) −13.7690 + 4.16173i −0.460248 + 0.139111i
\(896\) −2.62339 0.343285i −0.0876412 0.0114683i
\(897\) 2.82816 2.05478i 0.0944295 0.0686071i
\(898\) 9.58122 + 29.4880i 0.319729 + 0.984026i
\(899\) −13.2948 + 40.9172i −0.443407 + 1.36467i
\(900\) −11.6315 9.20740i −0.387717 0.306913i
\(901\) −17.9385 −0.597617
\(902\) 5.92843 + 29.6359i 0.197395 + 0.986769i
\(903\) 1.30202 + 1.23364i 0.0433286 + 0.0410529i
\(904\) 5.28039 7.26783i 0.175623 0.241725i
\(905\) 8.74152 25.1271i 0.290578 0.835252i
\(906\) −3.04522 + 0.989451i −0.101171 + 0.0328723i
\(907\) −26.6352 36.6602i −0.884408 1.21728i −0.975181 0.221411i \(-0.928934\pi\)
0.0907727 0.995872i \(-0.471066\pi\)
\(908\) 6.26126 + 8.61789i 0.207787 + 0.285995i
\(909\) 0.187589 + 0.577341i 0.00622195 + 0.0191492i
\(910\) −15.1956 + 7.86404i −0.503730 + 0.260690i
\(911\) −21.2018 15.4040i −0.702445 0.510356i 0.178282 0.983979i \(-0.442946\pi\)
−0.880728 + 0.473623i \(0.842946\pi\)
\(912\) −0.172045 −0.00569699
\(913\) −40.8909 + 8.17990i −1.35329 + 0.270715i
\(914\) −0.335636 −0.0111019
\(915\) 2.74467 3.61828i 0.0907361 0.119617i
\(916\) 17.6603 + 5.73819i 0.583514 + 0.189595i
\(917\) 5.42224 11.3909i 0.179058 0.376161i
\(918\) 0.967658 + 1.33187i 0.0319375 + 0.0439581i
\(919\) 7.12593 + 9.80800i 0.235063 + 0.323536i 0.910210 0.414147i \(-0.135920\pi\)
−0.675147 + 0.737683i \(0.735920\pi\)
\(920\) 4.30080 + 14.2291i 0.141793 + 0.469121i
\(921\) −1.11445 0.362106i −0.0367223 0.0119318i
\(922\) −0.247418 0.179760i −0.00814829 0.00592008i
\(923\) 12.8601i 0.423295i
\(924\) −1.02253 1.22479i −0.0336386 0.0402926i
\(925\) −0.440373 + 10.6635i −0.0144794 + 0.350613i
\(926\) −1.18996 + 1.63783i −0.0391044 + 0.0538225i
\(927\) −12.8440 + 39.5297i −0.421851 + 1.29832i
\(928\) −6.22359 + 2.02217i −0.204299 + 0.0663809i
\(929\) 20.5923 + 28.3429i 0.675612 + 0.929900i 0.999871 0.0160682i \(-0.00511488\pi\)
−0.324259 + 0.945968i \(0.605115\pi\)
\(930\) −2.19450 + 1.52622i −0.0719604 + 0.0500466i
\(931\) 6.17982 2.38333i 0.202535 0.0781103i
\(932\) −7.08297 + 21.7991i −0.232010 + 0.714054i
\(933\) −0.445660 + 0.613399i −0.0145903 + 0.0200818i
\(934\) −24.7913 −0.811195
\(935\) 8.11259 + 7.79879i 0.265310 + 0.255048i
\(936\) 8.58070i 0.280469i
\(937\) 27.0839 37.2779i 0.884794 1.21781i −0.0902759 0.995917i \(-0.528775\pi\)
0.975070 0.221898i \(-0.0712251\pi\)
\(938\) −4.50616 8.28383i −0.147131 0.270477i
\(939\) 0.330660 + 1.01767i 0.0107907 + 0.0332103i
\(940\) 4.41760 + 6.35194i 0.144086 + 0.207177i
\(941\) 1.90281 1.38247i 0.0620299 0.0450674i −0.556338 0.830956i \(-0.687794\pi\)
0.618368 + 0.785889i \(0.287794\pi\)
\(942\) −0.377478 1.16176i −0.0122989 0.0378521i
\(943\) 57.6137 + 18.7198i 1.87616 + 0.609601i
\(944\) 4.12497 5.67753i 0.134256 0.184788i
\(945\) 4.50984 4.56727i 0.146705 0.148573i
\(946\) −10.7826 + 6.05396i −0.350574 + 0.196831i
\(947\) 5.40987i 0.175797i −0.996129 0.0878985i \(-0.971985\pi\)
0.996129 0.0878985i \(-0.0280151\pi\)
\(948\) 0.546755 0.752543i 0.0177578 0.0244415i
\(949\) −10.8155 + 33.2866i −0.351085 + 1.08053i
\(950\) −1.27507 4.55599i −0.0413688 0.147816i
\(951\) 2.81002 + 3.86766i 0.0911211 + 0.125417i
\(952\) −0.520896 + 3.98069i −0.0168823 + 0.129015i
\(953\) −10.2010 31.3954i −0.330442 1.01700i −0.968924 0.247360i \(-0.920437\pi\)
0.638481 0.769637i \(-0.279563\pi\)
\(954\) −33.3583 10.8388i −1.08002 0.350919i
\(955\) −20.0383 + 26.4164i −0.648426 + 0.854814i
\(956\) 23.9621i 0.774991i
\(957\) −3.58557 1.64825i −0.115905 0.0532803i
\(958\) −10.5522 −0.340927
\(959\) −13.4634 + 2.50621i −0.434757 + 0.0809297i
\(960\) −0.384001 0.133591i −0.0123936 0.00431163i
\(961\) −3.77760 11.6263i −0.121858 0.375041i
\(962\) −4.99426 + 3.62854i −0.161021 + 0.116989i
\(963\) 14.0496 10.2076i 0.452741 0.328935i
\(964\) 4.70706 + 14.4869i 0.151604 + 0.466590i
\(965\) −2.20655 0.767644i −0.0710315 0.0247113i
\(966\) −3.14401 + 0.585256i −0.101157 + 0.0188303i
\(967\) 37.4895 1.20558 0.602791 0.797899i \(-0.294055\pi\)
0.602791 + 0.797899i \(0.294055\pi\)
\(968\) 10.1535 4.23159i 0.326346 0.136008i
\(969\) 0.261059i 0.00838643i
\(970\) 22.8336 30.1014i 0.733143 0.966497i
\(971\) −12.5801 4.08751i −0.403714 0.131174i 0.100120 0.994975i \(-0.468077\pi\)
−0.503833 + 0.863801i \(0.668077\pi\)
\(972\) 1.49483 + 4.60060i 0.0479466 + 0.147564i
\(973\) −60.2722 7.88696i −1.93224 0.252844i
\(974\) 11.6835 + 16.0809i 0.374363 + 0.515266i
\(975\) −2.53201 + 0.708625i −0.0810891 + 0.0226942i
\(976\) −3.45176 + 10.6234i −0.110488 + 0.340048i
\(977\) 31.0418 42.7254i 0.993117 1.36691i 0.0636620 0.997972i \(-0.479722\pi\)
0.929455 0.368936i \(-0.120278\pi\)
\(978\) 2.30408i 0.0736763i
\(979\) −20.8014 9.56221i −0.664817 0.305610i
\(980\) 15.6438 0.520970i 0.499723 0.0166418i
\(981\) 18.7126 25.7557i 0.597447 0.822315i
\(982\) −30.4746 9.90181i −0.972485 0.315980i
\(983\) −0.0544093 0.167455i −0.00173539 0.00534097i 0.950185 0.311686i \(-0.100894\pi\)
−0.951920 + 0.306345i \(0.900894\pi\)
\(984\) −1.34046 + 0.973905i −0.0427325 + 0.0310469i
\(985\) 30.9008 + 44.4313i 0.984582 + 1.41570i
\(986\) 3.06841 + 9.44359i 0.0977180 + 0.300745i
\(987\) −1.46221 + 0.795399i −0.0465427 + 0.0253178i
\(988\) 1.60850 2.21391i 0.0511732 0.0704338i
\(989\) 24.7860i 0.788149i
\(990\) 10.3740 + 19.4044i 0.329707 + 0.616712i
\(991\) 19.8724 0.631267 0.315634 0.948881i \(-0.397783\pi\)
0.315634 + 0.948881i \(0.397783\pi\)
\(992\) 3.86442 5.31891i 0.122695 0.168876i
\(993\) −0.579708 + 1.78416i −0.0183965 + 0.0566186i
\(994\) −5.05648 + 10.6225i −0.160382 + 0.336927i
\(995\) 27.3724 19.0368i 0.867765 0.603507i
\(996\) −1.34377 1.84954i −0.0425790 0.0586049i
\(997\) 45.9218 14.9209i 1.45436 0.472549i 0.528016 0.849234i \(-0.322936\pi\)
0.926341 + 0.376685i \(0.122936\pi\)
\(998\) −1.29054 + 3.97187i −0.0408513 + 0.125727i
\(999\) 1.36121 1.87354i 0.0430667 0.0592763i
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 770.2.w.b.139.13 yes 96
5.4 even 2 770.2.w.a.139.12 96
7.6 odd 2 inner 770.2.w.b.139.12 yes 96
11.8 odd 10 770.2.w.a.349.13 yes 96
35.34 odd 2 770.2.w.a.139.13 yes 96
55.19 odd 10 inner 770.2.w.b.349.12 yes 96
77.41 even 10 770.2.w.a.349.12 yes 96
385.349 even 10 inner 770.2.w.b.349.13 yes 96
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
770.2.w.a.139.12 96 5.4 even 2
770.2.w.a.139.13 yes 96 35.34 odd 2
770.2.w.a.349.12 yes 96 77.41 even 10
770.2.w.a.349.13 yes 96 11.8 odd 10
770.2.w.b.139.12 yes 96 7.6 odd 2 inner
770.2.w.b.139.13 yes 96 1.1 even 1 trivial
770.2.w.b.349.12 yes 96 55.19 odd 10 inner
770.2.w.b.349.13 yes 96 385.349 even 10 inner