Properties

Label 175.2.h.b.106.5
Level $175$
Weight $2$
Character 175.106
Analytic conductor $1.397$
Analytic rank $0$
Dimension $28$
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] = [175,2,Mod(36,175)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(175, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([8, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("175.36");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 175.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: \(1.39738203537\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 106.5
Character \(\chi\) \(=\) 175.106
Dual form 175.2.h.b.71.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.511192 + 1.57329i) q^{2} +(1.62203 - 1.17848i) q^{3} +(-0.595879 + 0.432932i) q^{4} +(-0.827625 - 2.07727i) q^{5} +(2.68325 + 1.94950i) q^{6} -1.00000 q^{7} +(1.69090 + 1.22851i) q^{8} +(0.315138 - 0.969894i) q^{9} +O(q^{10})\) \(q+(0.511192 + 1.57329i) q^{2} +(1.62203 - 1.17848i) q^{3} +(-0.595879 + 0.432932i) q^{4} +(-0.827625 - 2.07727i) q^{5} +(2.68325 + 1.94950i) q^{6} -1.00000 q^{7} +(1.69090 + 1.22851i) q^{8} +(0.315138 - 0.969894i) q^{9} +(2.84506 - 2.36397i) q^{10} +(0.651769 + 2.00594i) q^{11} +(-0.456337 + 1.40446i) q^{12} +(-0.200407 + 0.616788i) q^{13} +(-0.511192 - 1.57329i) q^{14} +(-3.79045 - 2.39406i) q^{15} +(-1.52364 + 4.68927i) q^{16} +(-0.514085 - 0.373505i) q^{17} +1.68702 q^{18} +(-5.01483 - 3.64348i) q^{19} +(1.39248 + 0.879495i) q^{20} +(-1.62203 + 1.17848i) q^{21} +(-2.82274 + 2.05084i) q^{22} +(0.0164791 + 0.0507175i) q^{23} +4.19047 q^{24} +(-3.63007 + 3.43840i) q^{25} -1.07283 q^{26} +(1.22685 + 3.77587i) q^{27} +(0.595879 - 0.432932i) q^{28} +(-3.40458 + 2.47357i) q^{29} +(1.82890 - 7.18729i) q^{30} +(-1.94997 - 1.41674i) q^{31} -3.97630 q^{32} +(3.42115 + 2.48561i) q^{33} +(0.324834 - 0.999736i) q^{34} +(0.827625 + 2.07727i) q^{35} +(0.232114 + 0.714372i) q^{36} +(1.55198 - 4.77651i) q^{37} +(3.16871 - 9.75228i) q^{38} +(0.401804 + 1.23663i) q^{39} +(1.15251 - 4.52920i) q^{40} +(-0.851279 + 2.61997i) q^{41} +(-2.68325 - 1.94950i) q^{42} -3.21572 q^{43} +(-1.25681 - 0.913126i) q^{44} +(-2.27554 + 0.148084i) q^{45} +(-0.0713691 + 0.0518527i) q^{46} +(10.2661 - 7.45873i) q^{47} +(3.05481 + 9.40174i) q^{48} +1.00000 q^{49} +(-7.26525 - 3.95346i) q^{50} -1.27403 q^{51} +(-0.147609 - 0.454294i) q^{52} +(9.67725 - 7.03094i) q^{53} +(-5.31336 + 3.86038i) q^{54} +(3.62745 - 3.01406i) q^{55} +(-1.69090 - 1.22851i) q^{56} -12.4280 q^{57} +(-5.63203 - 4.09191i) q^{58} +(-4.22100 + 12.9909i) q^{59} +(3.29511 - 0.214434i) q^{60} +(-1.26758 - 3.90120i) q^{61} +(1.23212 - 3.79209i) q^{62} +(-0.315138 + 0.969894i) q^{63} +(1.01462 + 3.12268i) q^{64} +(1.44709 - 0.0941716i) q^{65} +(-2.16171 + 6.65307i) q^{66} +(-4.78095 - 3.47356i) q^{67} +0.468035 q^{68} +(0.0864991 + 0.0628453i) q^{69} +(-2.84506 + 2.36397i) q^{70} +(12.9665 - 9.42074i) q^{71} +(1.72439 - 1.25284i) q^{72} +(-1.69378 - 5.21293i) q^{73} +8.30818 q^{74} +(-1.83603 + 9.85516i) q^{75} +4.56561 q^{76} +(-0.651769 - 2.00594i) q^{77} +(-1.74017 + 1.26431i) q^{78} +(-12.4145 + 9.01966i) q^{79} +(11.0019 - 0.715961i) q^{80} +(8.91489 + 6.47705i) q^{81} -4.55713 q^{82} +(13.6108 + 9.88880i) q^{83} +(0.456337 - 1.40446i) q^{84} +(-0.350399 + 1.37701i) q^{85} +(-1.64385 - 5.05925i) q^{86} +(-2.60730 + 8.02443i) q^{87} +(-1.36224 + 4.19255i) q^{88} +(2.55816 + 7.87320i) q^{89} +(-1.39622 - 3.50438i) q^{90} +(0.200407 - 0.616788i) q^{91} +(-0.0317768 - 0.0230872i) q^{92} -4.83251 q^{93} +(16.9826 + 12.3386i) q^{94} +(-3.41809 + 13.4326i) q^{95} +(-6.44970 + 4.68598i) q^{96} +(6.99686 - 5.08352i) q^{97} +(0.511192 + 1.57329i) q^{98} +2.15094 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q + 6 q^{2} + 4 q^{3} - 6 q^{4} + 8 q^{5} - 15 q^{6} - 28 q^{7} - 2 q^{8} - 5 q^{9} - 4 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 6 q^{14} - 9 q^{15} + 16 q^{16} + 14 q^{17} - 62 q^{18} + 22 q^{19} + 20 q^{20} - 4 q^{21} + 7 q^{22} + 21 q^{23} + 38 q^{24} + 8 q^{25} - 8 q^{26} - 11 q^{27} + 6 q^{28} - 37 q^{29} + 8 q^{30} - q^{31} - 48 q^{32} + 17 q^{33} - 10 q^{34} - 8 q^{35} - 41 q^{36} + 25 q^{37} + 15 q^{38} + 24 q^{39} + 39 q^{40} + 10 q^{41} + 15 q^{42} - 18 q^{43} + 65 q^{44} + 32 q^{45} + 26 q^{46} + 54 q^{47} + 69 q^{48} + 28 q^{49} - 49 q^{50} + 2 q^{51} - 54 q^{52} - 24 q^{53} - 14 q^{54} - 46 q^{55} + 2 q^{56} - 62 q^{57} + 17 q^{58} - 19 q^{59} - 6 q^{60} - 48 q^{61} - 42 q^{62} + 5 q^{63} - 20 q^{64} + 5 q^{65} + 91 q^{66} + 11 q^{67} - 114 q^{68} + 31 q^{69} + 4 q^{70} + 12 q^{71} + 20 q^{72} - 2 q^{73} + 70 q^{74} - 24 q^{75} - 6 q^{76} + 8 q^{77} + 59 q^{78} - 72 q^{79} - 8 q^{80} - 10 q^{81} - 26 q^{82} - 34 q^{83} + 8 q^{84} + 40 q^{85} - 60 q^{86} + 20 q^{87} + 32 q^{88} + 3 q^{89} - 32 q^{90} + 8 q^{91} + 10 q^{92} - 96 q^{93} + 12 q^{94} + 71 q^{95} + 22 q^{96} + 22 q^{97} + 6 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.511192 + 1.57329i 0.361467 + 1.11248i 0.952164 + 0.305588i \(0.0988530\pi\)
−0.590697 + 0.806894i \(0.701147\pi\)
\(3\) 1.62203 1.17848i 0.936482 0.680394i −0.0110890 0.999939i \(-0.503530\pi\)
0.947571 + 0.319544i \(0.103530\pi\)
\(4\) −0.595879 + 0.432932i −0.297940 + 0.216466i
\(5\) −0.827625 2.07727i −0.370125 0.928982i
\(6\) 2.68325 + 1.94950i 1.09543 + 0.795879i
\(7\) −1.00000 −0.377964
\(8\) 1.69090 + 1.22851i 0.597824 + 0.434344i
\(9\) 0.315138 0.969894i 0.105046 0.323298i
\(10\) 2.84506 2.36397i 0.899687 0.747554i
\(11\) 0.651769 + 2.00594i 0.196516 + 0.604814i 0.999956 + 0.00942742i \(0.00300089\pi\)
−0.803440 + 0.595386i \(0.796999\pi\)
\(12\) −0.456337 + 1.40446i −0.131733 + 0.405433i
\(13\) −0.200407 + 0.616788i −0.0555828 + 0.171066i −0.974994 0.222232i \(-0.928666\pi\)
0.919411 + 0.393298i \(0.128666\pi\)
\(14\) −0.511192 1.57329i −0.136622 0.420478i
\(15\) −3.79045 2.39406i −0.978690 0.618144i
\(16\) −1.52364 + 4.68927i −0.380909 + 1.17232i
\(17\) −0.514085 0.373505i −0.124684 0.0905882i 0.523695 0.851906i \(-0.324553\pi\)
−0.648380 + 0.761317i \(0.724553\pi\)
\(18\) 1.68702 0.397634
\(19\) −5.01483 3.64348i −1.15048 0.835872i −0.161935 0.986801i \(-0.551774\pi\)
−0.988545 + 0.150929i \(0.951774\pi\)
\(20\) 1.39248 + 0.879495i 0.311368 + 0.196661i
\(21\) −1.62203 + 1.17848i −0.353957 + 0.257165i
\(22\) −2.82274 + 2.05084i −0.601810 + 0.437240i
\(23\) 0.0164791 + 0.0507175i 0.00343613 + 0.0105753i 0.952760 0.303725i \(-0.0982303\pi\)
−0.949324 + 0.314300i \(0.898230\pi\)
\(24\) 4.19047 0.855377
\(25\) −3.63007 + 3.43840i −0.726014 + 0.687679i
\(26\) −1.07283 −0.210399
\(27\) 1.22685 + 3.77587i 0.236108 + 0.726666i
\(28\) 0.595879 0.432932i 0.112611 0.0818164i
\(29\) −3.40458 + 2.47357i −0.632214 + 0.459330i −0.857167 0.515039i \(-0.827777\pi\)
0.224953 + 0.974370i \(0.427777\pi\)
\(30\) 1.82890 7.18729i 0.333909 1.31221i
\(31\) −1.94997 1.41674i −0.350225 0.254453i 0.398738 0.917065i \(-0.369448\pi\)
−0.748963 + 0.662611i \(0.769448\pi\)
\(32\) −3.97630 −0.702918
\(33\) 3.42115 + 2.48561i 0.595545 + 0.432689i
\(34\) 0.324834 0.999736i 0.0557086 0.171453i
\(35\) 0.827625 + 2.07727i 0.139894 + 0.351122i
\(36\) 0.232114 + 0.714372i 0.0386856 + 0.119062i
\(37\) 1.55198 4.77651i 0.255144 0.785253i −0.738657 0.674081i \(-0.764540\pi\)
0.993801 0.111172i \(-0.0354604\pi\)
\(38\) 3.16871 9.75228i 0.514032 1.58203i
\(39\) 0.401804 + 1.23663i 0.0643402 + 0.198019i
\(40\) 1.15251 4.52920i 0.182228 0.716129i
\(41\) −0.851279 + 2.61997i −0.132947 + 0.409170i −0.995265 0.0971976i \(-0.969012\pi\)
0.862318 + 0.506368i \(0.169012\pi\)
\(42\) −2.68325 1.94950i −0.414035 0.300814i
\(43\) −3.21572 −0.490392 −0.245196 0.969473i \(-0.578852\pi\)
−0.245196 + 0.969473i \(0.578852\pi\)
\(44\) −1.25681 0.913126i −0.189471 0.137659i
\(45\) −2.27554 + 0.148084i −0.339218 + 0.0220751i
\(46\) −0.0713691 + 0.0518527i −0.0105228 + 0.00764527i
\(47\) 10.2661 7.45873i 1.49746 1.08797i 0.526078 0.850436i \(-0.323662\pi\)
0.971380 0.237531i \(-0.0763381\pi\)
\(48\) 3.05481 + 9.40174i 0.440924 + 1.35702i
\(49\) 1.00000 0.142857
\(50\) −7.26525 3.95346i −1.02746 0.559104i
\(51\) −1.27403 −0.178400
\(52\) −0.147609 0.454294i −0.0204697 0.0629992i
\(53\) 9.67725 7.03094i 1.32927 0.965773i 0.329507 0.944153i \(-0.393118\pi\)
0.999766 0.0216203i \(-0.00688250\pi\)
\(54\) −5.31336 + 3.86038i −0.723057 + 0.525332i
\(55\) 3.62745 3.01406i 0.489125 0.406416i
\(56\) −1.69090 1.22851i −0.225956 0.164167i
\(57\) −12.4280 −1.64613
\(58\) −5.63203 4.09191i −0.739521 0.537294i
\(59\) −4.22100 + 12.9909i −0.549528 + 1.69127i 0.160446 + 0.987045i \(0.448707\pi\)
−0.709974 + 0.704228i \(0.751293\pi\)
\(60\) 3.29511 0.214434i 0.425397 0.0276833i
\(61\) −1.26758 3.90120i −0.162296 0.499497i 0.836531 0.547920i \(-0.184580\pi\)
−0.998827 + 0.0484234i \(0.984580\pi\)
\(62\) 1.23212 3.79209i 0.156480 0.481595i
\(63\) −0.315138 + 0.969894i −0.0397036 + 0.122195i
\(64\) 1.01462 + 3.12268i 0.126828 + 0.390335i
\(65\) 1.44709 0.0941716i 0.179490 0.0116806i
\(66\) −2.16171 + 6.65307i −0.266088 + 0.818936i
\(67\) −4.78095 3.47356i −0.584086 0.424363i 0.256109 0.966648i \(-0.417559\pi\)
−0.840195 + 0.542285i \(0.817559\pi\)
\(68\) 0.468035 0.0567576
\(69\) 0.0864991 + 0.0628453i 0.0104133 + 0.00756568i
\(70\) −2.84506 + 2.36397i −0.340050 + 0.282549i
\(71\) 12.9665 9.42074i 1.53884 1.11804i 0.587790 0.809013i \(-0.299998\pi\)
0.951055 0.309023i \(-0.100002\pi\)
\(72\) 1.72439 1.25284i 0.203221 0.147649i
\(73\) −1.69378 5.21293i −0.198242 0.610128i −0.999923 0.0123754i \(-0.996061\pi\)
0.801681 0.597752i \(-0.203939\pi\)
\(74\) 8.30818 0.965806
\(75\) −1.83603 + 9.85516i −0.212007 + 1.13798i
\(76\) 4.56561 0.523711
\(77\) −0.651769 2.00594i −0.0742760 0.228598i
\(78\) −1.74017 + 1.26431i −0.197035 + 0.143155i
\(79\) −12.4145 + 9.01966i −1.39674 + 1.01479i −0.401652 + 0.915793i \(0.631564\pi\)
−0.995088 + 0.0989980i \(0.968436\pi\)
\(80\) 11.0019 0.715961i 1.23005 0.0800469i
\(81\) 8.91489 + 6.47705i 0.990544 + 0.719672i
\(82\) −4.55713 −0.503250
\(83\) 13.6108 + 9.88880i 1.49398 + 1.08544i 0.972705 + 0.232046i \(0.0745420\pi\)
0.521271 + 0.853391i \(0.325458\pi\)
\(84\) 0.456337 1.40446i 0.0497904 0.153239i
\(85\) −0.350399 + 1.37701i −0.0380061 + 0.149358i
\(86\) −1.64385 5.05925i −0.177261 0.545553i
\(87\) −2.60730 + 8.02443i −0.279532 + 0.860310i
\(88\) −1.36224 + 4.19255i −0.145216 + 0.446927i
\(89\) 2.55816 + 7.87320i 0.271164 + 0.834558i 0.990209 + 0.139594i \(0.0445797\pi\)
−0.719045 + 0.694964i \(0.755420\pi\)
\(90\) −1.39622 3.50438i −0.147174 0.369394i
\(91\) 0.200407 0.616788i 0.0210083 0.0646570i
\(92\) −0.0317768 0.0230872i −0.00331296 0.00240700i
\(93\) −4.83251 −0.501108
\(94\) 16.9826 + 12.3386i 1.75163 + 1.27263i
\(95\) −3.41809 + 13.4326i −0.350689 + 1.37815i
\(96\) −6.44970 + 4.68598i −0.658270 + 0.478261i
\(97\) 6.99686 5.08352i 0.710424 0.516153i −0.172886 0.984942i \(-0.555309\pi\)
0.883310 + 0.468789i \(0.155309\pi\)
\(98\) 0.511192 + 1.57329i 0.0516382 + 0.158926i
\(99\) 2.15094 0.216178
\(100\) 0.674494 3.62044i 0.0674494 0.362044i
\(101\) −9.17918 −0.913362 −0.456681 0.889631i \(-0.650962\pi\)
−0.456681 + 0.889631i \(0.650962\pi\)
\(102\) −0.651274 2.00442i −0.0644858 0.198467i
\(103\) −5.65323 + 4.10731i −0.557030 + 0.404706i −0.830371 0.557212i \(-0.811871\pi\)
0.273341 + 0.961917i \(0.411871\pi\)
\(104\) −1.09660 + 0.796726i −0.107530 + 0.0781254i
\(105\) 3.79045 + 2.39406i 0.369910 + 0.233636i
\(106\) 16.0086 + 11.6309i 1.55489 + 1.12970i
\(107\) −7.19760 −0.695818 −0.347909 0.937528i \(-0.613108\pi\)
−0.347909 + 0.937528i \(0.613108\pi\)
\(108\) −2.36575 1.71882i −0.227644 0.165393i
\(109\) 2.93344 9.02819i 0.280972 0.864743i −0.706605 0.707608i \(-0.749774\pi\)
0.987577 0.157135i \(-0.0502258\pi\)
\(110\) 6.59631 + 4.16625i 0.628933 + 0.397237i
\(111\) −3.11164 9.57664i −0.295344 0.908974i
\(112\) 1.52364 4.68927i 0.143970 0.443095i
\(113\) 5.25767 16.1815i 0.494600 1.52222i −0.322979 0.946406i \(-0.604684\pi\)
0.817579 0.575817i \(-0.195316\pi\)
\(114\) −6.35308 19.5528i −0.595021 1.83129i
\(115\) 0.0917152 0.0762066i 0.00855249 0.00710630i
\(116\) 0.957830 2.94790i 0.0889323 0.273705i
\(117\) 0.535063 + 0.388746i 0.0494666 + 0.0359396i
\(118\) −22.5962 −2.08015
\(119\) 0.514085 + 0.373505i 0.0471261 + 0.0342391i
\(120\) −3.46814 8.70473i −0.316597 0.794629i
\(121\) 5.30020 3.85082i 0.481836 0.350074i
\(122\) 5.48972 3.98852i 0.497016 0.361103i
\(123\) 1.70677 + 5.25289i 0.153894 + 0.473637i
\(124\) 1.77530 0.159426
\(125\) 10.1468 + 4.69492i 0.907558 + 0.419927i
\(126\) −1.68702 −0.150291
\(127\) 1.96691 + 6.05353i 0.174535 + 0.537164i 0.999612 0.0278566i \(-0.00886817\pi\)
−0.825077 + 0.565021i \(0.808868\pi\)
\(128\) −10.8280 + 7.86700i −0.957069 + 0.695351i
\(129\) −5.21601 + 3.78965i −0.459244 + 0.333660i
\(130\) 0.887902 + 2.22856i 0.0778741 + 0.195457i
\(131\) −11.9419 8.67629i −1.04337 0.758051i −0.0724277 0.997374i \(-0.523075\pi\)
−0.970940 + 0.239323i \(0.923075\pi\)
\(132\) −3.11469 −0.271099
\(133\) 5.01483 + 3.64348i 0.434840 + 0.315930i
\(134\) 3.02093 9.29746i 0.260968 0.803178i
\(135\) 6.82810 5.67350i 0.587670 0.488297i
\(136\) −0.410412 1.26312i −0.0351926 0.108312i
\(137\) 0.545107 1.67767i 0.0465716 0.143333i −0.925067 0.379805i \(-0.875991\pi\)
0.971638 + 0.236472i \(0.0759912\pi\)
\(138\) −0.0546560 + 0.168214i −0.00465263 + 0.0143193i
\(139\) −6.40874 19.7241i −0.543582 1.67297i −0.724338 0.689445i \(-0.757855\pi\)
0.180756 0.983528i \(-0.442145\pi\)
\(140\) −1.39248 0.879495i −0.117686 0.0743309i
\(141\) 7.86196 24.1966i 0.662097 2.03772i
\(142\) 21.4499 + 15.5843i 1.80004 + 1.30780i
\(143\) −1.36786 −0.114386
\(144\) 4.06794 + 2.95553i 0.338995 + 0.246294i
\(145\) 7.95598 + 5.02502i 0.660708 + 0.417306i
\(146\) 7.33559 5.32962i 0.607098 0.441082i
\(147\) 1.62203 1.17848i 0.133783 0.0971992i
\(148\) 1.14311 + 3.51812i 0.0939629 + 0.289188i
\(149\) −3.41997 −0.280175 −0.140088 0.990139i \(-0.544738\pi\)
−0.140088 + 0.990139i \(0.544738\pi\)
\(150\) −16.4436 + 2.14927i −1.34261 + 0.175487i
\(151\) −1.35241 −0.110058 −0.0550289 0.998485i \(-0.517525\pi\)
−0.0550289 + 0.998485i \(0.517525\pi\)
\(152\) −4.00351 12.3215i −0.324728 0.999409i
\(153\) −0.524268 + 0.380903i −0.0423845 + 0.0307942i
\(154\) 2.82274 2.05084i 0.227463 0.165261i
\(155\) −1.32909 + 5.22313i −0.106755 + 0.419532i
\(156\) −0.774802 0.562926i −0.0620338 0.0450702i
\(157\) −5.90061 −0.470920 −0.235460 0.971884i \(-0.575660\pi\)
−0.235460 + 0.971884i \(0.575660\pi\)
\(158\) −20.5367 14.9208i −1.63381 1.18703i
\(159\) 7.41105 22.8089i 0.587734 1.80886i
\(160\) 3.29089 + 8.25984i 0.260168 + 0.652998i
\(161\) −0.0164791 0.0507175i −0.00129874 0.00399710i
\(162\) −5.63303 + 17.3367i −0.442573 + 1.36210i
\(163\) −7.15196 + 22.0115i −0.560185 + 1.72407i 0.121657 + 0.992572i \(0.461179\pi\)
−0.681842 + 0.731499i \(0.738821\pi\)
\(164\) −0.627007 1.92973i −0.0489610 0.150687i
\(165\) 2.33184 9.16379i 0.181534 0.713400i
\(166\) −8.60021 + 26.4687i −0.667506 + 2.05437i
\(167\) 9.07006 + 6.58979i 0.701863 + 0.509933i 0.880538 0.473975i \(-0.157181\pi\)
−0.178676 + 0.983908i \(0.557181\pi\)
\(168\) −4.19047 −0.323302
\(169\) 10.1770 + 7.39399i 0.782843 + 0.568769i
\(170\) −2.34556 + 0.152640i −0.179896 + 0.0117070i
\(171\) −5.11415 + 3.71565i −0.391089 + 0.284143i
\(172\) 1.91618 1.39219i 0.146107 0.106153i
\(173\) −3.97230 12.2255i −0.302009 0.929487i −0.980777 0.195134i \(-0.937486\pi\)
0.678768 0.734353i \(-0.262514\pi\)
\(174\) −13.9576 −1.05812
\(175\) 3.63007 3.43840i 0.274408 0.259918i
\(176\) −10.3995 −0.783888
\(177\) 8.46288 + 26.0461i 0.636109 + 1.95774i
\(178\) −11.0791 + 8.04943i −0.830413 + 0.603330i
\(179\) −14.1838 + 10.3051i −1.06014 + 0.770240i −0.974115 0.226052i \(-0.927418\pi\)
−0.0860297 + 0.996293i \(0.527418\pi\)
\(180\) 1.29184 1.07339i 0.0962880 0.0800061i
\(181\) −0.237517 0.172566i −0.0176545 0.0128267i 0.578923 0.815382i \(-0.303473\pi\)
−0.596578 + 0.802555i \(0.703473\pi\)
\(182\) 1.07283 0.0795235
\(183\) −6.65352 4.83407i −0.491843 0.357345i
\(184\) −0.0344425 + 0.106003i −0.00253913 + 0.00781464i
\(185\) −11.2065 + 0.729280i −0.823921 + 0.0536178i
\(186\) −2.47034 7.60292i −0.181134 0.557474i
\(187\) 0.414163 1.27466i 0.0302866 0.0932126i
\(188\) −2.88821 + 8.88900i −0.210644 + 0.648297i
\(189\) −1.22685 3.77587i −0.0892404 0.274654i
\(190\) −22.8806 + 1.48898i −1.65993 + 0.108022i
\(191\) 1.25219 3.85384i 0.0906052 0.278854i −0.895478 0.445105i \(-0.853166\pi\)
0.986083 + 0.166251i \(0.0531662\pi\)
\(192\) 5.32576 + 3.86939i 0.384354 + 0.279249i
\(193\) 16.3498 1.17688 0.588441 0.808540i \(-0.299742\pi\)
0.588441 + 0.808540i \(0.299742\pi\)
\(194\) 11.5746 + 8.40942i 0.831006 + 0.603761i
\(195\) 2.23626 1.85812i 0.160142 0.133063i
\(196\) −0.595879 + 0.432932i −0.0425628 + 0.0309237i
\(197\) 6.47162 4.70190i 0.461084 0.334997i −0.332873 0.942972i \(-0.608018\pi\)
0.793956 + 0.607975i \(0.208018\pi\)
\(198\) 1.09955 + 3.38405i 0.0781413 + 0.240494i
\(199\) −0.666170 −0.0472235 −0.0236118 0.999721i \(-0.507517\pi\)
−0.0236118 + 0.999721i \(0.507517\pi\)
\(200\) −10.3622 + 1.35440i −0.732718 + 0.0957708i
\(201\) −11.8484 −0.835720
\(202\) −4.69232 14.4415i −0.330150 1.01610i
\(203\) 3.40458 2.47357i 0.238954 0.173611i
\(204\) 0.759169 0.551569i 0.0531525 0.0386175i
\(205\) 6.14691 0.400018i 0.429319 0.0279385i
\(206\) −9.35187 6.79453i −0.651575 0.473397i
\(207\) 0.0543837 0.00377993
\(208\) −2.58694 1.87952i −0.179372 0.130321i
\(209\) 4.04010 12.4341i 0.279459 0.860088i
\(210\) −1.82890 + 7.18729i −0.126206 + 0.495970i
\(211\) 5.21164 + 16.0398i 0.358784 + 1.10422i 0.953783 + 0.300497i \(0.0971527\pi\)
−0.594998 + 0.803727i \(0.702847\pi\)
\(212\) −2.72256 + 8.37918i −0.186986 + 0.575484i
\(213\) 9.93005 30.5615i 0.680396 2.09404i
\(214\) −3.67935 11.3239i −0.251515 0.774085i
\(215\) 2.66141 + 6.67990i 0.181507 + 0.455566i
\(216\) −2.56421 + 7.89182i −0.174472 + 0.536970i
\(217\) 1.94997 + 1.41674i 0.132373 + 0.0961743i
\(218\) 15.7035 1.06357
\(219\) −8.89070 6.45947i −0.600778 0.436491i
\(220\) −0.856638 + 3.36646i −0.0577545 + 0.226966i
\(221\) 0.333399 0.242229i 0.0224269 0.0162941i
\(222\) 13.4762 9.79100i 0.904460 0.657129i
\(223\) −1.24083 3.81889i −0.0830923 0.255732i 0.900876 0.434077i \(-0.142926\pi\)
−0.983968 + 0.178345i \(0.942926\pi\)
\(224\) 3.97630 0.265678
\(225\) 2.19091 + 4.60435i 0.146060 + 0.306957i
\(226\) 28.1457 1.87223
\(227\) 0.0841668 + 0.259039i 0.00558635 + 0.0171930i 0.953811 0.300408i \(-0.0971228\pi\)
−0.948224 + 0.317601i \(0.897123\pi\)
\(228\) 7.40558 5.38047i 0.490446 0.356330i
\(229\) 20.3763 14.8043i 1.34650 0.978293i 0.347327 0.937744i \(-0.387089\pi\)
0.999178 0.0405490i \(-0.0129107\pi\)
\(230\) 0.166779 + 0.105338i 0.0109971 + 0.00694579i
\(231\) −3.42115 2.48561i −0.225095 0.163541i
\(232\) −8.79561 −0.577460
\(233\) 13.9831 + 10.1593i 0.916063 + 0.665559i 0.942541 0.334091i \(-0.108429\pi\)
−0.0264779 + 0.999649i \(0.508429\pi\)
\(234\) −0.338089 + 1.04053i −0.0221016 + 0.0680217i
\(235\) −23.9902 15.1523i −1.56495 0.988427i
\(236\) −3.10897 9.56842i −0.202377 0.622851i
\(237\) −9.50728 + 29.2604i −0.617564 + 1.90067i
\(238\) −0.324834 + 0.999736i −0.0210559 + 0.0648033i
\(239\) 2.33795 + 7.19548i 0.151230 + 0.465437i 0.997759 0.0669045i \(-0.0213123\pi\)
−0.846530 + 0.532341i \(0.821312\pi\)
\(240\) 17.0017 14.1268i 1.09745 0.911879i
\(241\) 2.26902 6.98332i 0.146160 0.449835i −0.850998 0.525169i \(-0.824002\pi\)
0.997158 + 0.0753337i \(0.0240022\pi\)
\(242\) 8.76786 + 6.37022i 0.563619 + 0.409493i
\(243\) 10.1828 0.653226
\(244\) 2.44427 + 1.77587i 0.156479 + 0.113688i
\(245\) −0.827625 2.07727i −0.0528751 0.132712i
\(246\) −7.39182 + 5.37047i −0.471285 + 0.342409i
\(247\) 3.25226 2.36291i 0.206936 0.150348i
\(248\) −1.55673 4.79112i −0.0988524 0.304236i
\(249\) 33.7309 2.13761
\(250\) −2.19949 + 18.3638i −0.139108 + 1.16143i
\(251\) −15.6474 −0.987658 −0.493829 0.869559i \(-0.664403\pi\)
−0.493829 + 0.869559i \(0.664403\pi\)
\(252\) −0.232114 0.714372i −0.0146218 0.0450012i
\(253\) −0.0909956 + 0.0661122i −0.00572085 + 0.00415644i
\(254\) −8.51847 + 6.18903i −0.534496 + 0.388334i
\(255\) 1.05442 + 2.64650i 0.0660304 + 0.165730i
\(256\) −12.5996 9.15415i −0.787476 0.572134i
\(257\) −18.9910 −1.18462 −0.592312 0.805709i \(-0.701785\pi\)
−0.592312 + 0.805709i \(0.701785\pi\)
\(258\) −8.62859 6.26904i −0.537192 0.390293i
\(259\) −1.55198 + 4.77651i −0.0964355 + 0.296798i
\(260\) −0.821524 + 0.682608i −0.0509488 + 0.0423336i
\(261\) 1.32619 + 4.08159i 0.0820891 + 0.252644i
\(262\) 7.54570 23.2233i 0.466175 1.43474i
\(263\) −7.48241 + 23.0285i −0.461385 + 1.42000i 0.402087 + 0.915601i \(0.368285\pi\)
−0.863472 + 0.504396i \(0.831715\pi\)
\(264\) 2.73122 + 8.40584i 0.168095 + 0.517343i
\(265\) −22.6143 14.2833i −1.38918 0.877413i
\(266\) −3.16871 + 9.75228i −0.194286 + 0.597950i
\(267\) 13.4278 + 9.75588i 0.821769 + 0.597050i
\(268\) 4.35268 0.265882
\(269\) 12.6315 + 9.17729i 0.770154 + 0.559549i 0.902008 0.431720i \(-0.142093\pi\)
−0.131854 + 0.991269i \(0.542093\pi\)
\(270\) 12.4165 + 7.84232i 0.755645 + 0.477268i
\(271\) −8.32345 + 6.04734i −0.505614 + 0.367350i −0.811157 0.584828i \(-0.801162\pi\)
0.305543 + 0.952178i \(0.401162\pi\)
\(272\) 2.53475 1.84160i 0.153692 0.111663i
\(273\) −0.401804 1.23663i −0.0243183 0.0748440i
\(274\) 2.91810 0.176289
\(275\) −9.26319 5.04066i −0.558591 0.303963i
\(276\) −0.0787507 −0.00474024
\(277\) −1.99269 6.13287i −0.119729 0.368488i 0.873175 0.487407i \(-0.162057\pi\)
−0.992904 + 0.118919i \(0.962057\pi\)
\(278\) 27.7555 20.1656i 1.66466 1.20945i
\(279\) −1.98859 + 1.44480i −0.119054 + 0.0864977i
\(280\) −1.15251 + 4.52920i −0.0688758 + 0.270671i
\(281\) 7.47619 + 5.43177i 0.445992 + 0.324032i 0.788011 0.615661i \(-0.211111\pi\)
−0.342019 + 0.939693i \(0.611111\pi\)
\(282\) 42.0872 2.50626
\(283\) 7.41680 + 5.38862i 0.440883 + 0.320320i 0.785986 0.618245i \(-0.212156\pi\)
−0.345103 + 0.938565i \(0.612156\pi\)
\(284\) −3.64795 + 11.2272i −0.216466 + 0.666215i
\(285\) 10.2857 + 25.8162i 0.609273 + 1.52922i
\(286\) −0.699238 2.15203i −0.0413468 0.127252i
\(287\) 0.851279 2.61997i 0.0502494 0.154652i
\(288\) −1.25308 + 3.85659i −0.0738386 + 0.227252i
\(289\) −5.12851 15.7839i −0.301677 0.928467i
\(290\) −3.83877 + 15.0858i −0.225420 + 0.885868i
\(291\) 5.35835 16.4913i 0.314112 0.966737i
\(292\) 3.26613 + 2.37299i 0.191136 + 0.138868i
\(293\) −7.85050 −0.458631 −0.229316 0.973352i \(-0.573649\pi\)
−0.229316 + 0.973352i \(0.573649\pi\)
\(294\) 2.68325 + 1.94950i 0.156491 + 0.113697i
\(295\) 30.4790 1.98346i 1.77456 0.115482i
\(296\) 8.49224 6.16998i 0.493602 0.358623i
\(297\) −6.77453 + 4.92199i −0.393098 + 0.285603i
\(298\) −1.74826 5.38060i −0.101274 0.311690i
\(299\) −0.0345845 −0.00200007
\(300\) −3.17256 6.66736i −0.183168 0.384940i
\(301\) 3.21572 0.185351
\(302\) −0.691342 2.12773i −0.0397823 0.122437i
\(303\) −14.8889 + 10.8175i −0.855347 + 0.621446i
\(304\) 24.7261 17.9645i 1.41814 1.03034i
\(305\) −7.05475 + 5.86182i −0.403954 + 0.335647i
\(306\) −0.867270 0.630109i −0.0495785 0.0360209i
\(307\) 13.8648 0.791308 0.395654 0.918400i \(-0.370518\pi\)
0.395654 + 0.918400i \(0.370518\pi\)
\(308\) 1.25681 + 0.913126i 0.0716134 + 0.0520302i
\(309\) −4.32936 + 13.3244i −0.246289 + 0.757999i
\(310\) −8.89691 + 0.578978i −0.505310 + 0.0328837i
\(311\) 2.54580 + 7.83517i 0.144359 + 0.444292i 0.996928 0.0783232i \(-0.0249566\pi\)
−0.852569 + 0.522615i \(0.824957\pi\)
\(312\) −0.839798 + 2.58463i −0.0475442 + 0.146326i
\(313\) −8.28517 + 25.4991i −0.468306 + 1.44130i 0.386471 + 0.922301i \(0.373694\pi\)
−0.854777 + 0.518995i \(0.826306\pi\)
\(314\) −3.01634 9.28335i −0.170222 0.523890i
\(315\) 2.27554 0.148084i 0.128212 0.00834359i
\(316\) 3.49264 10.7493i 0.196477 0.604693i
\(317\) −17.0848 12.4128i −0.959579 0.697175i −0.00652571 0.999979i \(-0.502077\pi\)
−0.953053 + 0.302804i \(0.902077\pi\)
\(318\) 39.6733 2.22477
\(319\) −7.18083 5.21718i −0.402049 0.292106i
\(320\) 5.64692 4.69205i 0.315672 0.262293i
\(321\) −11.6748 + 8.48221i −0.651622 + 0.473431i
\(322\) 0.0713691 0.0518527i 0.00397725 0.00288964i
\(323\) 1.21719 + 3.74612i 0.0677262 + 0.208440i
\(324\) −8.11632 −0.450907
\(325\) −1.39327 2.92806i −0.0772848 0.162420i
\(326\) −38.2864 −2.12049
\(327\) −5.88138 18.1010i −0.325241 1.00099i
\(328\) −4.65809 + 3.38430i −0.257200 + 0.186867i
\(329\) −10.2661 + 7.45873i −0.565986 + 0.411213i
\(330\) 15.6093 1.01579i 0.859263 0.0559177i
\(331\) 3.88896 + 2.82549i 0.213756 + 0.155303i 0.689512 0.724275i \(-0.257825\pi\)
−0.475755 + 0.879578i \(0.657825\pi\)
\(332\) −12.3916 −0.680075
\(333\) −4.14362 3.01051i −0.227069 0.164975i
\(334\) −5.73108 + 17.6385i −0.313591 + 0.965133i
\(335\) −3.25868 + 12.8061i −0.178041 + 0.699673i
\(336\) −3.05481 9.40174i −0.166653 0.512907i
\(337\) −1.44218 + 4.43857i −0.0785605 + 0.241784i −0.982622 0.185618i \(-0.940571\pi\)
0.904061 + 0.427402i \(0.140571\pi\)
\(338\) −6.43049 + 19.7910i −0.349773 + 1.07649i
\(339\) −10.5413 32.4429i −0.572527 1.76206i
\(340\) −0.387358 0.972233i −0.0210074 0.0527267i
\(341\) 1.57096 4.83491i 0.0850721 0.261825i
\(342\) −8.46009 6.14662i −0.457469 0.332371i
\(343\) −1.00000 −0.0539949
\(344\) −5.43746 3.95055i −0.293168 0.212999i
\(345\) 0.0589575 0.231694i 0.00317417 0.0124740i
\(346\) 17.2036 12.4991i 0.924871 0.671958i
\(347\) −15.0616 + 10.9429i −0.808551 + 0.587447i −0.913410 0.407040i \(-0.866561\pi\)
0.104859 + 0.994487i \(0.466561\pi\)
\(348\) −1.92040 5.91037i −0.102944 0.316829i
\(349\) −16.6275 −0.890049 −0.445025 0.895518i \(-0.646805\pi\)
−0.445025 + 0.895518i \(0.646805\pi\)
\(350\) 7.26525 + 3.95346i 0.388344 + 0.211321i
\(351\) −2.57478 −0.137432
\(352\) −2.59163 7.97622i −0.138134 0.425134i
\(353\) −15.2926 + 11.1107i −0.813940 + 0.591362i −0.914970 0.403521i \(-0.867786\pi\)
0.101030 + 0.994883i \(0.467786\pi\)
\(354\) −36.6518 + 26.6291i −1.94802 + 1.41532i
\(355\) −30.3008 19.1381i −1.60820 1.01575i
\(356\) −4.93291 3.58397i −0.261444 0.189950i
\(357\) 1.27403 0.0674289
\(358\) −23.4635 17.0472i −1.24009 0.900975i
\(359\) 1.45389 4.47463i 0.0767336 0.236162i −0.905331 0.424707i \(-0.860377\pi\)
0.982065 + 0.188545i \(0.0603772\pi\)
\(360\) −4.02964 2.54514i −0.212381 0.134140i
\(361\) 6.00217 + 18.4728i 0.315904 + 0.972252i
\(362\) 0.150079 0.461897i 0.00788799 0.0242767i
\(363\) 4.05900 12.4923i 0.213042 0.655677i
\(364\) 0.147609 + 0.454294i 0.00773681 + 0.0238115i
\(365\) −9.42683 + 7.83280i −0.493423 + 0.409987i
\(366\) 4.20415 12.9390i 0.219754 0.676334i
\(367\) −26.5694 19.3038i −1.38691 1.00765i −0.996196 0.0871400i \(-0.972227\pi\)
−0.390717 0.920511i \(-0.627773\pi\)
\(368\) −0.262936 −0.0137065
\(369\) 2.27282 + 1.65130i 0.118318 + 0.0859632i
\(370\) −6.87606 17.2583i −0.357469 0.897216i
\(371\) −9.67725 + 7.03094i −0.502418 + 0.365028i
\(372\) 2.87959 2.09215i 0.149300 0.108473i
\(373\) −4.73897 14.5851i −0.245375 0.755185i −0.995575 0.0939744i \(-0.970043\pi\)
0.750200 0.661211i \(-0.229957\pi\)
\(374\) 2.21713 0.114645
\(375\) 21.9913 4.34246i 1.13563 0.224243i
\(376\) 26.5220 1.36777
\(377\) −0.843369 2.59562i −0.0434357 0.133681i
\(378\) 5.31336 3.86038i 0.273290 0.198557i
\(379\) −1.33880 + 0.972698i −0.0687697 + 0.0499641i −0.621639 0.783304i \(-0.713533\pi\)
0.552869 + 0.833268i \(0.313533\pi\)
\(380\) −3.77861 9.48399i −0.193839 0.486518i
\(381\) 10.3244 + 7.50108i 0.528932 + 0.384292i
\(382\) 6.70331 0.342971
\(383\) 2.60029 + 1.88922i 0.132868 + 0.0965346i 0.652234 0.758017i \(-0.273832\pi\)
−0.519366 + 0.854552i \(0.673832\pi\)
\(384\) −8.29231 + 25.5211i −0.423165 + 1.30237i
\(385\) −3.62745 + 3.01406i −0.184872 + 0.153611i
\(386\) 8.35787 + 25.7229i 0.425404 + 1.30926i
\(387\) −1.01339 + 3.11890i −0.0515137 + 0.158543i
\(388\) −1.96847 + 6.05833i −0.0999339 + 0.307565i
\(389\) 2.43865 + 7.50540i 0.123645 + 0.380539i 0.993652 0.112500i \(-0.0358860\pi\)
−0.870007 + 0.493039i \(0.835886\pi\)
\(390\) 4.06651 + 2.56842i 0.205916 + 0.130057i
\(391\) 0.0104716 0.0322281i 0.000529569 0.00162985i
\(392\) 1.69090 + 1.22851i 0.0854034 + 0.0620492i
\(393\) −29.5950 −1.49287
\(394\) 10.7057 + 7.77813i 0.539344 + 0.391857i
\(395\) 29.0108 + 18.3233i 1.45969 + 0.921946i
\(396\) −1.28170 + 0.931212i −0.0644080 + 0.0467952i
\(397\) −11.7912 + 8.56682i −0.591784 + 0.429956i −0.842953 0.537987i \(-0.819185\pi\)
0.251169 + 0.967943i \(0.419185\pi\)
\(398\) −0.340541 1.04808i −0.0170698 0.0525353i
\(399\) 12.4280 0.622177
\(400\) −10.5927 22.2613i −0.529633 1.11306i
\(401\) 37.2775 1.86155 0.930775 0.365593i \(-0.119134\pi\)
0.930775 + 0.365593i \(0.119134\pi\)
\(402\) −6.05680 18.6409i −0.302085 0.929724i
\(403\) 1.26461 0.918795i 0.0629949 0.0457684i
\(404\) 5.46968 3.97396i 0.272127 0.197712i
\(405\) 6.07636 23.8792i 0.301937 1.18657i
\(406\) 5.63203 + 4.09191i 0.279513 + 0.203078i
\(407\) 10.5929 0.525072
\(408\) −2.15426 1.56516i −0.106652 0.0774871i
\(409\) −4.89309 + 15.0594i −0.241948 + 0.744639i 0.754176 + 0.656673i \(0.228037\pi\)
−0.996123 + 0.0879661i \(0.971963\pi\)
\(410\) 3.77159 + 9.46636i 0.186266 + 0.467510i
\(411\) −1.09291 3.36363i −0.0539092 0.165916i
\(412\) 1.59046 4.89493i 0.0783562 0.241156i
\(413\) 4.22100 12.9909i 0.207702 0.639241i
\(414\) 0.0278005 + 0.0855612i 0.00136632 + 0.00420510i
\(415\) 9.27706 36.4574i 0.455393 1.78962i
\(416\) 0.796877 2.45254i 0.0390701 0.120245i
\(417\) −33.6395 24.4406i −1.64734 1.19686i
\(418\) 21.6277 1.05785
\(419\) −11.9829 8.70609i −0.585404 0.425321i 0.255265 0.966871i \(-0.417837\pi\)
−0.840668 + 0.541551i \(0.817837\pi\)
\(420\) −3.29511 + 0.214434i −0.160785 + 0.0104633i
\(421\) −4.87069 + 3.53876i −0.237383 + 0.172469i −0.700116 0.714029i \(-0.746869\pi\)
0.462734 + 0.886497i \(0.346869\pi\)
\(422\) −22.5710 + 16.3988i −1.09874 + 0.798282i
\(423\) −3.99895 12.3075i −0.194436 0.598411i
\(424\) 25.0009 1.21415
\(425\) 3.15043 0.411780i 0.152818 0.0199743i
\(426\) 53.1582 2.57552
\(427\) 1.26758 + 3.90120i 0.0613423 + 0.188792i
\(428\) 4.28890 3.11607i 0.207312 0.150621i
\(429\) −2.21871 + 1.61199i −0.107121 + 0.0778276i
\(430\) −9.14891 + 7.60187i −0.441200 + 0.366595i
\(431\) 7.81901 + 5.68085i 0.376629 + 0.273637i 0.759954 0.649977i \(-0.225221\pi\)
−0.383326 + 0.923613i \(0.625221\pi\)
\(432\) −19.5753 −0.941819
\(433\) −9.09422 6.60733i −0.437040 0.317528i 0.347418 0.937711i \(-0.387059\pi\)
−0.784458 + 0.620182i \(0.787059\pi\)
\(434\) −1.23212 + 3.79209i −0.0591438 + 0.182026i
\(435\) 18.8268 1.22518i 0.902674 0.0587427i
\(436\) 2.16061 + 6.64969i 0.103475 + 0.318462i
\(437\) 0.102148 0.314381i 0.00488642 0.0150389i
\(438\) 5.61775 17.2896i 0.268426 0.826131i
\(439\) 7.83355 + 24.1092i 0.373875 + 1.15067i 0.944235 + 0.329273i \(0.106804\pi\)
−0.570360 + 0.821395i \(0.693196\pi\)
\(440\) 9.83647 0.640121i 0.468935 0.0305166i
\(441\) 0.315138 0.969894i 0.0150065 0.0461854i
\(442\) 0.551527 + 0.400707i 0.0262334 + 0.0190597i
\(443\) −2.69391 −0.127991 −0.0639957 0.997950i \(-0.520384\pi\)
−0.0639957 + 0.997950i \(0.520384\pi\)
\(444\) 6.00019 + 4.35939i 0.284756 + 0.206888i
\(445\) 14.2375 11.8300i 0.674924 0.560798i
\(446\) 5.37391 3.90437i 0.254462 0.184877i
\(447\) −5.54732 + 4.03036i −0.262379 + 0.190630i
\(448\) −1.01462 3.12268i −0.0479363 0.147533i
\(449\) −33.7703 −1.59372 −0.796859 0.604165i \(-0.793507\pi\)
−0.796859 + 0.604165i \(0.793507\pi\)
\(450\) −6.12399 + 5.80063i −0.288688 + 0.273444i
\(451\) −5.81033 −0.273598
\(452\) 3.87252 + 11.9184i 0.182148 + 0.560595i
\(453\) −2.19366 + 1.59379i −0.103067 + 0.0748827i
\(454\) −0.364517 + 0.264837i −0.0171076 + 0.0124294i
\(455\) −1.44709 + 0.0941716i −0.0678409 + 0.00441483i
\(456\) −21.0145 15.2679i −0.984094 0.714986i
\(457\) −17.1779 −0.803549 −0.401775 0.915739i \(-0.631607\pi\)
−0.401775 + 0.915739i \(0.631607\pi\)
\(458\) 33.7075 + 24.4900i 1.57505 + 1.14434i
\(459\) 0.779597 2.39935i 0.0363885 0.111992i
\(460\) −0.0216589 + 0.0851163i −0.00100985 + 0.00396857i
\(461\) −1.64270 5.05571i −0.0765081 0.235468i 0.905487 0.424374i \(-0.139506\pi\)
−0.981995 + 0.188906i \(0.939506\pi\)
\(462\) 2.16171 6.65307i 0.100572 0.309529i
\(463\) −0.640813 + 1.97222i −0.0297811 + 0.0916568i −0.964842 0.262830i \(-0.915344\pi\)
0.935061 + 0.354486i \(0.115344\pi\)
\(464\) −6.41190 19.7338i −0.297665 0.916119i
\(465\) 3.99951 + 10.0384i 0.185473 + 0.465520i
\(466\) −8.83547 + 27.1928i −0.409295 + 1.25968i
\(467\) 27.8676 + 20.2470i 1.28956 + 0.936918i 0.999796 0.0201812i \(-0.00642431\pi\)
0.289761 + 0.957099i \(0.406424\pi\)
\(468\) −0.487134 −0.0225178
\(469\) 4.78095 + 3.47356i 0.220764 + 0.160394i
\(470\) 11.5753 45.4892i 0.533929 2.09826i
\(471\) −9.57100 + 6.95374i −0.441008 + 0.320411i
\(472\) −23.0968 + 16.7808i −1.06312 + 0.772398i
\(473\) −2.09591 6.45054i −0.0963699 0.296596i
\(474\) −50.8950 −2.33769
\(475\) 30.7319 4.01685i 1.41008 0.184306i
\(476\) −0.468035 −0.0214523
\(477\) −3.76959 11.6016i −0.172598 0.531202i
\(478\) −10.1254 + 7.35654i −0.463125 + 0.336480i
\(479\) −19.7488 + 14.3484i −0.902347 + 0.655594i −0.939068 0.343732i \(-0.888309\pi\)
0.0367206 + 0.999326i \(0.488309\pi\)
\(480\) 15.0720 + 9.51951i 0.687938 + 0.434504i
\(481\) 2.63507 + 1.91449i 0.120149 + 0.0872931i
\(482\) 12.1467 0.553265
\(483\) −0.0864991 0.0628453i −0.00393584 0.00285956i
\(484\) −1.49114 + 4.58925i −0.0677789 + 0.208602i
\(485\) −16.3506 10.3271i −0.742443 0.468930i
\(486\) 5.20536 + 16.0204i 0.236120 + 0.726702i
\(487\) 8.21422 25.2808i 0.372222 1.14558i −0.573112 0.819477i \(-0.694264\pi\)
0.945334 0.326104i \(-0.105736\pi\)
\(488\) 2.64932 8.15377i 0.119929 0.369104i
\(489\) 14.3393 + 44.1318i 0.648445 + 1.99571i
\(490\) 2.84506 2.36397i 0.128527 0.106793i
\(491\) 3.41047 10.4963i 0.153912 0.473693i −0.844137 0.536128i \(-0.819887\pi\)
0.998049 + 0.0624347i \(0.0198865\pi\)
\(492\) −3.29117 2.39118i −0.148377 0.107802i
\(493\) 2.67413 0.120437
\(494\) 5.38006 + 3.90884i 0.242060 + 0.175867i
\(495\) −1.78018 4.46809i −0.0800130 0.200826i
\(496\) 9.61451 6.98535i 0.431704 0.313651i
\(497\) −12.9665 + 9.42074i −0.581629 + 0.422578i
\(498\) 17.2429 + 53.0683i 0.772675 + 2.37805i
\(499\) 23.2305 1.03994 0.519970 0.854184i \(-0.325943\pi\)
0.519970 + 0.854184i \(0.325943\pi\)
\(500\) −8.07885 + 1.59527i −0.361297 + 0.0713425i
\(501\) 22.4779 1.00424
\(502\) −7.99884 24.6179i −0.357006 1.09875i
\(503\) 9.62616 6.99382i 0.429209 0.311839i −0.352123 0.935954i \(-0.614540\pi\)
0.781333 + 0.624115i \(0.214540\pi\)
\(504\) −1.72439 + 1.25284i −0.0768105 + 0.0558061i
\(505\) 7.59692 + 19.0676i 0.338058 + 0.848497i
\(506\) −0.150530 0.109366i −0.00669186 0.00486192i
\(507\) 25.2210 1.12011
\(508\) −3.79281 2.75564i −0.168279 0.122262i
\(509\) 2.76377 8.50602i 0.122502 0.377023i −0.870936 0.491397i \(-0.836486\pi\)
0.993438 + 0.114374i \(0.0364864\pi\)
\(510\) −3.62470 + 3.01178i −0.160504 + 0.133364i
\(511\) 1.69378 + 5.21293i 0.0749286 + 0.230607i
\(512\) −0.310569 + 0.955833i −0.0137253 + 0.0422422i
\(513\) 7.60485 23.4053i 0.335762 1.03337i
\(514\) −9.70802 29.8782i −0.428203 1.31787i
\(515\) 13.2107 + 8.34395i 0.582135 + 0.367678i
\(516\) 1.46745 4.51635i 0.0646009 0.198821i
\(517\) 21.6529 + 15.7317i 0.952291 + 0.691880i
\(518\) −8.30818 −0.365040
\(519\) −20.8507 15.1489i −0.915243 0.664963i
\(520\) 2.56258 + 1.61854i 0.112377 + 0.0709776i
\(521\) −15.8194 + 11.4935i −0.693061 + 0.503538i −0.877665 0.479275i \(-0.840900\pi\)
0.184604 + 0.982813i \(0.440900\pi\)
\(522\) −5.74358 + 4.17295i −0.251389 + 0.182645i
\(523\) 0.465276 + 1.43197i 0.0203451 + 0.0626158i 0.960714 0.277542i \(-0.0895196\pi\)
−0.940369 + 0.340157i \(0.889520\pi\)
\(524\) 10.8722 0.474953
\(525\) 1.83603 9.85516i 0.0801309 0.430114i
\(526\) −40.0554 −1.74650
\(527\) 0.473293 + 1.45665i 0.0206170 + 0.0634525i
\(528\) −16.8683 + 12.2555i −0.734098 + 0.533353i
\(529\) 18.6051 13.5174i 0.808917 0.587713i
\(530\) 10.9114 42.8802i 0.473962 1.86260i
\(531\) 11.2696 + 8.18785i 0.489059 + 0.355322i
\(532\) −4.56561 −0.197944
\(533\) −1.44536 1.05012i −0.0626056 0.0454856i
\(534\) −8.48460 + 26.1129i −0.367165 + 1.13002i
\(535\) 5.95692 + 14.9513i 0.257540 + 0.646403i
\(536\) −3.81680 11.7469i −0.164861 0.507389i
\(537\) −10.8622 + 33.4305i −0.468740 + 1.44263i
\(538\) −7.98141 + 24.5643i −0.344103 + 1.05904i
\(539\) 0.651769 + 2.00594i 0.0280737 + 0.0864019i
\(540\) −1.61249 + 6.33683i −0.0693904 + 0.272694i
\(541\) −5.17970 + 15.9415i −0.222693 + 0.685378i 0.775825 + 0.630948i \(0.217334\pi\)
−0.998518 + 0.0544295i \(0.982666\pi\)
\(542\) −13.7691 10.0038i −0.591433 0.429701i
\(543\) −0.588626 −0.0252604
\(544\) 2.04416 + 1.48517i 0.0876426 + 0.0636761i
\(545\) −21.1817 + 1.37843i −0.907326 + 0.0590454i
\(546\) 1.74017 1.26431i 0.0744723 0.0541073i
\(547\) 28.3876 20.6248i 1.21377 0.881853i 0.218199 0.975904i \(-0.429982\pi\)
0.995567 + 0.0940519i \(0.0299820\pi\)
\(548\) 0.401497 + 1.23568i 0.0171511 + 0.0527856i
\(549\) −4.18321 −0.178535
\(550\) 3.19514 17.1504i 0.136241 0.731295i
\(551\) 26.0858 1.11129
\(552\) 0.0690553 + 0.212530i 0.00293919 + 0.00904589i
\(553\) 12.4145 9.01966i 0.527918 0.383555i
\(554\) 8.63012 6.27015i 0.366658 0.266393i
\(555\) −17.3180 + 14.3896i −0.735107 + 0.610803i
\(556\) 12.3580 + 8.97861i 0.524096 + 0.380778i
\(557\) 32.2965 1.36845 0.684223 0.729273i \(-0.260141\pi\)
0.684223 + 0.729273i \(0.260141\pi\)
\(558\) −3.28963 2.39006i −0.139261 0.101179i
\(559\) 0.644451 1.98342i 0.0272574 0.0838896i
\(560\) −11.0019 + 0.715961i −0.464914 + 0.0302549i
\(561\) −0.830375 2.55563i −0.0350584 0.107899i
\(562\) −4.72396 + 14.5389i −0.199268 + 0.613285i
\(563\) 0.249801 0.768809i 0.0105279 0.0324015i −0.945655 0.325173i \(-0.894578\pi\)
0.956182 + 0.292771i \(0.0945775\pi\)
\(564\) 5.79071 + 17.8220i 0.243833 + 0.750440i
\(565\) −37.9646 + 2.47059i −1.59718 + 0.103939i
\(566\) −4.68644 + 14.4234i −0.196986 + 0.606260i
\(567\) −8.91489 6.47705i −0.374390 0.272010i
\(568\) 33.4986 1.40557
\(569\) −8.28738 6.02113i −0.347425 0.252419i 0.400363 0.916357i \(-0.368884\pi\)
−0.747788 + 0.663938i \(0.768884\pi\)
\(570\) −35.3584 + 29.3794i −1.48100 + 1.23057i
\(571\) −24.6938 + 17.9411i −1.03340 + 0.750810i −0.968987 0.247113i \(-0.920518\pi\)
−0.0644149 + 0.997923i \(0.520518\pi\)
\(572\) 0.815079 0.592189i 0.0340801 0.0247607i
\(573\) −2.51057 7.72674i −0.104881 0.322789i
\(574\) 4.55713 0.190211
\(575\) −0.234207 0.127446i −0.00976711 0.00531488i
\(576\) 3.34841 0.139517
\(577\) −10.4178 32.0627i −0.433698 1.33479i −0.894415 0.447239i \(-0.852407\pi\)
0.460716 0.887547i \(-0.347593\pi\)
\(578\) 22.2110 16.1372i 0.923856 0.671220i
\(579\) 26.5199 19.2678i 1.10213 0.800744i
\(580\) −6.91629 + 0.450087i −0.287183 + 0.0186888i
\(581\) −13.6108 9.88880i −0.564670 0.410257i
\(582\) 28.6847 1.18902
\(583\) 20.4110 + 14.8294i 0.845336 + 0.614173i
\(584\) 3.54013 10.8954i 0.146491 0.450854i
\(585\) 0.364697 1.43321i 0.0150784 0.0592557i
\(586\) −4.01311 12.3511i −0.165780 0.510219i
\(587\) −5.37008 + 16.5274i −0.221647 + 0.682159i 0.776968 + 0.629541i \(0.216757\pi\)
−0.998615 + 0.0526189i \(0.983243\pi\)
\(588\) −0.456337 + 1.40446i −0.0188190 + 0.0579190i
\(589\) 4.61690 + 14.2094i 0.190236 + 0.585487i
\(590\) 18.7012 + 46.9383i 0.769915 + 1.93242i
\(591\) 4.95610 15.2533i 0.203867 0.627437i
\(592\) 20.0337 + 14.5553i 0.823380 + 0.598220i
\(593\) −34.2483 −1.40641 −0.703204 0.710988i \(-0.748248\pi\)
−0.703204 + 0.710988i \(0.748248\pi\)
\(594\) −11.2068 8.14220i −0.459820 0.334079i
\(595\) 0.350399 1.37701i 0.0143650 0.0564521i
\(596\) 2.03789 1.48062i 0.0834753 0.0606484i
\(597\) −1.08055 + 0.785066i −0.0442240 + 0.0321306i
\(598\) −0.0176793 0.0544113i −0.000722960 0.00222504i
\(599\) −0.477719 −0.0195191 −0.00975953 0.999952i \(-0.503107\pi\)
−0.00975953 + 0.999952i \(0.503107\pi\)
\(600\) −15.2117 + 14.4085i −0.621016 + 0.588225i
\(601\) 7.49548 0.305747 0.152874 0.988246i \(-0.451147\pi\)
0.152874 + 0.988246i \(0.451147\pi\)
\(602\) 1.64385 + 5.05925i 0.0669983 + 0.206199i
\(603\) −4.87564 + 3.54236i −0.198552 + 0.144256i
\(604\) 0.805875 0.585502i 0.0327906 0.0238237i
\(605\) −12.3858 7.82289i −0.503553 0.318046i
\(606\) −24.6301 17.8948i −1.00053 0.726926i
\(607\) 1.17392 0.0476478 0.0238239 0.999716i \(-0.492416\pi\)
0.0238239 + 0.999716i \(0.492416\pi\)
\(608\) 19.9405 + 14.4876i 0.808693 + 0.587550i
\(609\) 2.60730 8.02443i 0.105653 0.325166i
\(610\) −12.8287 8.10262i −0.519417 0.328066i
\(611\) 2.54307 + 7.82676i 0.102882 + 0.316637i
\(612\) 0.147495 0.453944i 0.00596215 0.0183496i
\(613\) 7.16477 22.0509i 0.289382 0.890628i −0.695668 0.718363i \(-0.744892\pi\)
0.985051 0.172264i \(-0.0551084\pi\)
\(614\) 7.08759 + 21.8133i 0.286032 + 0.880315i
\(615\) 9.49909 7.89284i 0.383040 0.318270i
\(616\) 1.36224 4.19255i 0.0548863 0.168923i
\(617\) 27.3982 + 19.9059i 1.10301 + 0.801383i 0.981549 0.191213i \(-0.0612422\pi\)
0.121461 + 0.992596i \(0.461242\pi\)
\(618\) −23.1763 −0.932286
\(619\) 7.58568 + 5.51132i 0.304894 + 0.221519i 0.729703 0.683765i \(-0.239658\pi\)
−0.424808 + 0.905283i \(0.639658\pi\)
\(620\) −1.46928 3.68776i −0.0590077 0.148104i
\(621\) −0.171285 + 0.124446i −0.00687343 + 0.00499384i
\(622\) −11.0256 + 8.01054i −0.442085 + 0.321194i
\(623\) −2.55816 7.87320i −0.102490 0.315433i
\(624\) −6.41108 −0.256649
\(625\) 1.35485 24.9633i 0.0541939 0.998530i
\(626\) −44.3528 −1.77269
\(627\) −8.10018 24.9298i −0.323490 0.995600i
\(628\) 3.51605 2.55456i 0.140306 0.101938i
\(629\) −2.58190 + 1.87586i −0.102947 + 0.0747955i
\(630\) 1.39622 + 3.50438i 0.0556266 + 0.139618i
\(631\) −0.746884 0.542643i −0.0297330 0.0216023i 0.572820 0.819682i \(-0.305850\pi\)
−0.602552 + 0.798079i \(0.705850\pi\)
\(632\) −32.0724 −1.27577
\(633\) 27.3560 + 19.8753i 1.08730 + 0.789972i
\(634\) 10.7953 33.2246i 0.428738 1.31952i
\(635\) 10.9469 9.09586i 0.434416 0.360958i
\(636\) 5.45859 + 16.7998i 0.216447 + 0.666155i
\(637\) −0.200407 + 0.616788i −0.00794040 + 0.0244380i
\(638\) 4.53733 13.9645i 0.179635 0.552859i
\(639\) −5.05087 15.5450i −0.199809 0.614950i
\(640\) 25.3034 + 15.9817i 1.00020 + 0.631733i
\(641\) −1.24245 + 3.82387i −0.0490739 + 0.151034i −0.972591 0.232524i \(-0.925301\pi\)
0.923517 + 0.383558i \(0.125301\pi\)
\(642\) −19.3130 14.0317i −0.762223 0.553787i
\(643\) 19.8202 0.781633 0.390816 0.920469i \(-0.372193\pi\)
0.390816 + 0.920469i \(0.372193\pi\)
\(644\) 0.0317768 + 0.0230872i 0.00125218 + 0.000909762i
\(645\) 12.1890 + 7.69863i 0.479942 + 0.303133i
\(646\) −5.27151 + 3.82997i −0.207405 + 0.150688i
\(647\) 7.72033 5.60915i 0.303517 0.220518i −0.425593 0.904915i \(-0.639934\pi\)
0.729110 + 0.684397i \(0.239934\pi\)
\(648\) 7.11707 + 21.9041i 0.279585 + 0.860474i
\(649\) −28.8101 −1.13090
\(650\) 3.89445 3.68882i 0.152753 0.144687i
\(651\) 4.83251 0.189401
\(652\) −5.26776 16.2125i −0.206301 0.634930i
\(653\) 19.0422 13.8350i 0.745179 0.541404i −0.149150 0.988815i \(-0.547654\pi\)
0.894329 + 0.447411i \(0.147654\pi\)
\(654\) 25.4716 18.5062i 0.996017 0.723649i
\(655\) −8.13956 + 31.9872i −0.318039 + 1.24984i
\(656\) −10.9887 7.98376i −0.429037 0.311713i
\(657\) −5.58977 −0.218078
\(658\) −16.9826 12.3386i −0.662052 0.481009i
\(659\) 13.9476 42.9264i 0.543322 1.67217i −0.181624 0.983368i \(-0.558135\pi\)
0.724946 0.688806i \(-0.241865\pi\)
\(660\) 2.57780 + 6.47004i 0.100341 + 0.251846i
\(661\) −3.52118 10.8371i −0.136958 0.421513i 0.858931 0.512091i \(-0.171129\pi\)
−0.995889 + 0.0905773i \(0.971129\pi\)
\(662\) −2.45731 + 7.56281i −0.0955059 + 0.293937i
\(663\) 0.255324 0.785808i 0.00991598 0.0305182i
\(664\) 10.8660 + 33.4420i 0.421681 + 1.29780i
\(665\) 3.41809 13.4326i 0.132548 0.520893i
\(666\) 2.61822 8.05805i 0.101454 0.312243i
\(667\) −0.181558 0.131909i −0.00702994 0.00510755i
\(668\) −8.25759 −0.319496
\(669\) −6.51315 4.73208i −0.251813 0.182953i
\(670\) −21.8135 + 1.41954i −0.842729 + 0.0548417i
\(671\) 6.99940 5.08536i 0.270209 0.196318i
\(672\) 6.44970 4.68598i 0.248803 0.180766i
\(673\) 5.55992 + 17.1117i 0.214319 + 0.659607i 0.999201 + 0.0399616i \(0.0127235\pi\)
−0.784882 + 0.619645i \(0.787276\pi\)
\(674\) −7.72037 −0.297378
\(675\) −17.4365 9.48826i −0.671131 0.365203i
\(676\) −9.26533 −0.356359
\(677\) 2.74745 + 8.45579i 0.105593 + 0.324982i 0.989869 0.141982i \(-0.0453476\pi\)
−0.884276 + 0.466965i \(0.845348\pi\)
\(678\) 45.6534 33.1691i 1.75331 1.27385i
\(679\) −6.99686 + 5.08352i −0.268515 + 0.195088i
\(680\) −2.28417 + 1.89793i −0.0875938 + 0.0727821i
\(681\) 0.441793 + 0.320981i 0.0169295 + 0.0123000i
\(682\) 8.40975 0.322026
\(683\) −3.58503 2.60468i −0.137177 0.0996652i 0.517080 0.855937i \(-0.327019\pi\)
−0.654258 + 0.756272i \(0.727019\pi\)
\(684\) 1.43879 4.42816i 0.0550137 0.169315i
\(685\) −3.93610 + 0.256147i −0.150391 + 0.00978688i
\(686\) −0.511192 1.57329i −0.0195174 0.0600684i
\(687\) 15.6046 48.0261i 0.595353 1.83231i
\(688\) 4.89959 15.0794i 0.186795 0.574896i
\(689\) 2.39721 + 7.37786i 0.0913265 + 0.281074i
\(690\) 0.394660 0.0256830i 0.0150244 0.000977735i
\(691\) −1.01286 + 3.11725i −0.0385308 + 0.118586i −0.968472 0.249123i \(-0.919858\pi\)
0.929941 + 0.367709i \(0.119858\pi\)
\(692\) 7.65981 + 5.56518i 0.291182 + 0.211556i
\(693\) −2.15094 −0.0817076
\(694\) −24.9157 18.1023i −0.945789 0.687156i
\(695\) −35.6681 + 29.6368i −1.35297 + 1.12419i
\(696\) −14.2668 + 10.3654i −0.540781 + 0.392901i
\(697\) 1.41620 1.02893i 0.0536424 0.0389735i
\(698\) −8.49984 26.1598i −0.321724 0.990164i
\(699\) 34.6536 1.31072
\(700\) −0.674494 + 3.62044i −0.0254935 + 0.136840i
\(701\) −32.3186 −1.22066 −0.610328 0.792149i \(-0.708962\pi\)
−0.610328 + 0.792149i \(0.708962\pi\)
\(702\) −1.31621 4.05086i −0.0496770 0.152890i
\(703\) −25.1860 + 18.2987i −0.949910 + 0.690150i
\(704\) −5.60261 + 4.07054i −0.211156 + 0.153414i
\(705\) −56.7696 + 3.69436i −2.13807 + 0.139138i
\(706\) −25.2977 18.3799i −0.952092 0.691736i
\(707\) 9.17918 0.345218
\(708\) −16.3190 11.8565i −0.613306 0.445593i
\(709\) −6.77723 + 20.8582i −0.254524 + 0.783345i 0.739399 + 0.673268i \(0.235110\pi\)
−0.993923 + 0.110077i \(0.964890\pi\)
\(710\) 14.6202 57.4551i 0.548686 2.15625i
\(711\) 4.83583 + 14.8832i 0.181358 + 0.558162i
\(712\) −5.34673 + 16.4555i −0.200377 + 0.616697i
\(713\) 0.0397195 0.122244i 0.00148751 0.00457808i
\(714\) 0.651274 + 2.00442i 0.0243733 + 0.0750134i
\(715\) 1.13207 + 2.84141i 0.0423372 + 0.106263i
\(716\) 3.99041 12.2812i 0.149128 0.458970i
\(717\) 12.2719 + 8.91609i 0.458304 + 0.332978i
\(718\) 7.78309 0.290462
\(719\) 5.53541 + 4.02171i 0.206436 + 0.149984i 0.686200 0.727413i \(-0.259278\pi\)
−0.479764 + 0.877398i \(0.659278\pi\)
\(720\) 2.77270 10.8963i 0.103332 0.406080i
\(721\) 5.65323 4.10731i 0.210537 0.152964i
\(722\) −25.9947 + 18.8863i −0.967424 + 0.702875i
\(723\) −4.54926 14.0012i −0.169189 0.520709i
\(724\) 0.216241 0.00803652
\(725\) 3.85374 20.6855i 0.143124 0.768241i
\(726\) 21.7289 0.806436
\(727\) 7.23035 + 22.2527i 0.268159 + 0.825308i 0.990949 + 0.134240i \(0.0428594\pi\)
−0.722790 + 0.691068i \(0.757141\pi\)
\(728\) 1.09660 0.796726i 0.0406427 0.0295286i
\(729\) −10.2278 + 7.43097i −0.378809 + 0.275221i
\(730\) −17.1422 10.8270i −0.634460 0.400727i
\(731\) 1.65315 + 1.20109i 0.0611441 + 0.0444238i
\(732\) 6.05752 0.223892
\(733\) 29.7955 + 21.6477i 1.10052 + 0.799575i 0.981145 0.193275i \(-0.0619108\pi\)
0.119375 + 0.992849i \(0.461911\pi\)
\(734\) 16.7884 51.6693i 0.619670 1.90715i
\(735\) −3.79045 2.39406i −0.139813 0.0883063i
\(736\) −0.0655259 0.201668i −0.00241532 0.00743358i
\(737\) 3.85168 11.8543i 0.141879 0.436657i
\(738\) −1.43612 + 4.41993i −0.0528644 + 0.162700i
\(739\) −8.94879 27.5415i −0.329186 1.01313i −0.969515 0.245031i \(-0.921202\pi\)
0.640329 0.768101i \(-0.278798\pi\)
\(740\) 6.36202 5.28623i 0.233872 0.194326i
\(741\) 2.49065 7.66543i 0.0914963 0.281597i
\(742\) −16.0086 11.6309i −0.587695 0.426985i
\(743\) −33.9235 −1.24453 −0.622266 0.782806i \(-0.713788\pi\)
−0.622266 + 0.782806i \(0.713788\pi\)
\(744\) −8.17130 5.93680i −0.299574 0.217653i
\(745\) 2.83046 + 7.10420i 0.103700 + 0.260278i
\(746\) 20.5239 14.9115i 0.751435 0.545949i
\(747\) 13.8804 10.0847i 0.507855 0.368979i
\(748\) 0.305051 + 0.938850i 0.0111538 + 0.0343277i
\(749\) 7.19760 0.262995
\(750\) 18.0737 + 32.3788i 0.659959 + 1.18231i
\(751\) −37.0674 −1.35261 −0.676304 0.736623i \(-0.736419\pi\)
−0.676304 + 0.736623i \(0.736419\pi\)
\(752\) 19.3343 + 59.5047i 0.705048 + 2.16991i
\(753\) −25.3807 + 18.4402i −0.924924 + 0.671997i
\(754\) 3.65253 2.65372i 0.133017 0.0966428i
\(755\) 1.11929 + 2.80932i 0.0407352 + 0.102242i
\(756\) 2.36575 + 1.71882i 0.0860414 + 0.0625128i
\(757\) −22.1897 −0.806500 −0.403250 0.915090i \(-0.632120\pi\)
−0.403250 + 0.915090i \(0.632120\pi\)
\(758\) −2.21472 1.60909i −0.0804421 0.0584446i
\(759\) −0.0696864 + 0.214473i −0.00252945 + 0.00778486i
\(760\) −22.2817 + 18.5140i −0.808243 + 0.671573i
\(761\) 7.73265 + 23.7986i 0.280308 + 0.862700i 0.987766 + 0.155944i \(0.0498421\pi\)
−0.707458 + 0.706756i \(0.750158\pi\)
\(762\) −6.52362 + 20.0777i −0.236326 + 0.727337i
\(763\) −2.93344 + 9.02819i −0.106197 + 0.326842i
\(764\) 0.922297 + 2.83854i 0.0333675 + 0.102695i
\(765\) 1.22513 + 0.773799i 0.0442948 + 0.0279768i
\(766\) −1.64304 + 5.05675i −0.0593654 + 0.182708i
\(767\) −7.16672 5.20693i −0.258775 0.188011i
\(768\) −31.2250 −1.12673
\(769\) 35.1475 + 25.5362i 1.26745 + 0.920858i 0.999098 0.0424627i \(-0.0135204\pi\)
0.268354 + 0.963320i \(0.413520\pi\)
\(770\) −6.59631 4.16625i −0.237715 0.150141i
\(771\) −30.8040 + 22.3804i −1.10938 + 0.806011i
\(772\) −9.74249 + 7.07833i −0.350640 + 0.254755i
\(773\) −9.61166 29.5816i −0.345707 1.06398i −0.961204 0.275838i \(-0.911045\pi\)
0.615497 0.788139i \(-0.288955\pi\)
\(774\) −5.42497 −0.194996
\(775\) 11.9498 1.56192i 0.429251 0.0561057i
\(776\) 18.0762 0.648896
\(777\) 3.11164 + 9.57664i 0.111629 + 0.343560i
\(778\) −10.5615 + 7.67339i −0.378649 + 0.275104i
\(779\) 13.8148 10.0371i 0.494967 0.359615i
\(780\) −0.528102 + 2.07536i −0.0189091 + 0.0743099i
\(781\) 27.3486 + 19.8699i 0.978611 + 0.711002i
\(782\) 0.0560571 0.00200460
\(783\) −13.5168 9.82052i −0.483050 0.350957i
\(784\) −1.52364 + 4.68927i −0.0544156 + 0.167474i
\(785\) 4.88350 + 12.2571i 0.174300 + 0.437476i
\(786\) −15.1287 46.5614i −0.539623 1.66079i
\(787\) 3.07717 9.47056i 0.109689 0.337589i −0.881113 0.472906i \(-0.843205\pi\)
0.990802 + 0.135317i \(0.0432052\pi\)
\(788\) −1.82070 + 5.60353i −0.0648597 + 0.199618i
\(789\) 15.0018 + 46.1709i 0.534079 + 1.64373i
\(790\) −13.9977 + 55.0090i −0.498017 + 1.95713i
\(791\) −5.25767 + 16.1815i −0.186941 + 0.575346i
\(792\) 3.63703 + 2.64246i 0.129236 + 0.0938957i
\(793\) 2.66024 0.0944679
\(794\) −19.5056 14.1717i −0.692229 0.502934i
\(795\) −53.5136 + 3.48247i −1.89793 + 0.123511i
\(796\) 0.396957 0.288406i 0.0140698 0.0102223i
\(797\) 3.63504 2.64101i 0.128760 0.0935493i −0.521541 0.853226i \(-0.674643\pi\)
0.650301 + 0.759677i \(0.274643\pi\)
\(798\) 6.35308 + 19.5528i 0.224897 + 0.692161i
\(799\) −8.06350 −0.285266
\(800\) 14.4343 13.6721i 0.510328 0.483382i
\(801\) 8.44234 0.298295
\(802\) 19.0560 + 58.6482i 0.672889 + 2.07094i
\(803\) 9.35287 6.79526i 0.330056 0.239799i
\(804\) 7.06021 5.12954i 0.248994 0.180905i
\(805\) −0.0917152 + 0.0762066i −0.00323254 + 0.00268593i
\(806\) 2.09199 + 1.51992i 0.0736871 + 0.0535368i
\(807\) 31.3039 1.10195
\(808\) −15.5211 11.2767i −0.546029 0.396714i
\(809\) −9.24695 + 28.4592i −0.325105 + 1.00057i 0.646288 + 0.763094i \(0.276321\pi\)
−0.971393 + 0.237478i \(0.923679\pi\)
\(810\) 40.6750 2.64698i 1.42917 0.0930053i
\(811\) −13.2892 40.9000i −0.466648 1.43619i −0.856898 0.515486i \(-0.827612\pi\)
0.390250 0.920709i \(-0.372388\pi\)
\(812\) −0.957830 + 2.94790i −0.0336132 + 0.103451i
\(813\) −6.37427 + 19.6180i −0.223556 + 0.688033i
\(814\) 5.41501 + 16.6657i 0.189796 + 0.584132i
\(815\) 51.6428 3.36073i 1.80897 0.117721i
\(816\) 1.94116 5.97428i 0.0679542 0.209142i
\(817\) 16.1263 + 11.7164i 0.564187 + 0.409906i
\(818\) −26.1940 −0.915853
\(819\) −0.535063 0.388746i −0.0186966 0.0135839i
\(820\) −3.48964 + 2.89955i −0.121863 + 0.101257i
\(821\) 36.0220 26.1715i 1.25717 0.913391i 0.258559 0.965995i \(-0.416752\pi\)
0.998615 + 0.0526045i \(0.0167523\pi\)
\(822\) 4.73326 3.43892i 0.165092 0.119946i
\(823\) 16.3247 + 50.2424i 0.569045 + 1.75134i 0.655616 + 0.755095i \(0.272409\pi\)
−0.0865707 + 0.996246i \(0.527591\pi\)
\(824\) −14.6049 −0.508787
\(825\) −20.9655 + 2.74032i −0.729926 + 0.0954058i
\(826\) 22.5962 0.786221
\(827\) −6.69380 20.6014i −0.232766 0.716381i −0.997410 0.0719274i \(-0.977085\pi\)
0.764644 0.644453i \(-0.222915\pi\)
\(828\) −0.0324061 + 0.0235444i −0.00112619 + 0.000818226i
\(829\) 0.724280 0.526220i 0.0251553 0.0182764i −0.575137 0.818057i \(-0.695051\pi\)
0.600292 + 0.799781i \(0.295051\pi\)
\(830\) 62.1003 4.04126i 2.15553 0.140274i
\(831\) −10.4597 7.59939i −0.362842 0.263620i
\(832\) −2.12937 −0.0738226
\(833\) −0.514085 0.373505i −0.0178120 0.0129412i
\(834\) 21.2557 65.4185i 0.736026 2.26526i
\(835\) 6.18213 24.2948i 0.213941 0.840757i
\(836\) 2.97572 + 9.15834i 0.102918 + 0.316748i
\(837\) 2.95708 9.10095i 0.102212 0.314575i
\(838\) 7.57162 23.3030i 0.261557 0.804990i
\(839\) 4.68190 + 14.4094i 0.161637 + 0.497468i 0.998773 0.0495273i \(-0.0157715\pi\)
−0.837136 + 0.546995i \(0.815771\pi\)
\(840\) 3.46814 + 8.70473i 0.119662 + 0.300342i
\(841\) −3.48890 + 10.7377i −0.120307 + 0.370266i
\(842\) −8.05734 5.85400i −0.277674 0.201742i
\(843\) 18.5279 0.638133
\(844\) −10.0496 7.30149i −0.345923 0.251328i
\(845\) 6.93658 27.2597i 0.238626 0.937762i
\(846\) 17.3190 12.5830i 0.595440 0.432612i
\(847\) −5.30020 + 3.85082i −0.182117 + 0.132316i
\(848\) 18.2254 + 56.0919i 0.625861 + 1.92620i
\(849\) 18.3807 0.630824
\(850\) 2.25832 + 4.74602i 0.0774597 + 0.162787i
\(851\) 0.267828 0.00918102
\(852\) 7.31395 + 22.5100i 0.250572 + 0.771181i
\(853\) −26.8956 + 19.5408i −0.920889 + 0.669065i −0.943745 0.330674i \(-0.892724\pi\)
0.0228559 + 0.999739i \(0.492724\pi\)
\(854\) −5.48972 + 3.98852i −0.187854 + 0.136484i
\(855\) 11.9510 + 7.54829i 0.408715 + 0.258146i
\(856\) −12.1704 8.84233i −0.415977 0.302225i
\(857\) 46.2129 1.57860 0.789302 0.614005i \(-0.210443\pi\)
0.789302 + 0.614005i \(0.210443\pi\)
\(858\) −3.67031 2.66664i −0.125302 0.0910375i
\(859\) 8.32136 25.6105i 0.283921 0.873819i −0.702799 0.711389i \(-0.748067\pi\)
0.986720 0.162431i \(-0.0519334\pi\)
\(860\) −4.47782 2.82821i −0.152692 0.0964411i
\(861\) −1.70677 5.25289i −0.0581665 0.179018i
\(862\) −4.94058 + 15.2056i −0.168277 + 0.517903i
\(863\) −4.45516 + 13.7116i −0.151655 + 0.466747i −0.997807 0.0661955i \(-0.978914\pi\)
0.846151 + 0.532943i \(0.178914\pi\)
\(864\) −4.87834 15.0140i −0.165964 0.510786i
\(865\) −22.1080 + 18.3697i −0.751695 + 0.624587i
\(866\) 5.74634 17.6854i 0.195269 0.600975i
\(867\) −26.9196 19.5583i −0.914239 0.664233i
\(868\) −1.77530 −0.0602575
\(869\) −26.1843 19.0240i −0.888240 0.645344i
\(870\) 11.5516 + 28.9936i 0.391637 + 0.982974i
\(871\) 3.10059 2.25271i 0.105059 0.0763301i
\(872\) 16.0514 11.6620i 0.543568 0.394925i
\(873\) −2.72550 8.38822i −0.0922441 0.283898i
\(874\) 0.546828 0.0184967
\(875\) −10.1468 4.69492i −0.343025 0.158717i
\(876\) 8.09429 0.273481
\(877\) 16.2701 + 50.0743i 0.549404 + 1.69089i 0.710283 + 0.703916i \(0.248567\pi\)
−0.160880 + 0.986974i \(0.551433\pi\)
\(878\) −33.9262 + 24.6488i −1.14495 + 0.831858i
\(879\) −12.7338 + 9.25164i −0.429500 + 0.312050i
\(880\) 8.60685 + 21.6024i 0.290137 + 0.728218i
\(881\) 27.3009 + 19.8353i 0.919791 + 0.668268i 0.943472 0.331452i \(-0.107538\pi\)
−0.0236807 + 0.999720i \(0.507538\pi\)
\(882\) 1.68702 0.0568048
\(883\) −38.7157 28.1286i −1.30289 0.946603i −0.302907 0.953020i \(-0.597957\pi\)
−0.999979 + 0.00641732i \(0.997957\pi\)
\(884\) −0.0937973 + 0.288678i −0.00315474 + 0.00970930i
\(885\) 47.1005 39.1360i 1.58327 1.31554i
\(886\) −1.37710 4.23829i −0.0462647 0.142388i
\(887\) 6.94376 21.3707i 0.233149 0.717558i −0.764213 0.644964i \(-0.776872\pi\)
0.997362 0.0725937i \(-0.0231276\pi\)
\(888\) 6.50354 20.0158i 0.218244 0.671687i
\(889\) −1.96691 6.05353i −0.0659681 0.203029i
\(890\) 25.8902 + 16.3523i 0.867840 + 0.548131i
\(891\) −7.18212 + 22.1043i −0.240610 + 0.740521i
\(892\) 2.39271 + 1.73840i 0.0801137 + 0.0582060i
\(893\) −78.6582 −2.63220
\(894\) −9.17666 6.66723i −0.306913 0.222986i
\(895\) 33.1453 + 20.9347i 1.10793 + 0.699770i
\(896\) 10.8280 7.86700i 0.361738 0.262818i
\(897\) −0.0560972 + 0.0407570i −0.00187303 + 0.00136084i
\(898\) −17.2631 53.1303i −0.576077 1.77298i
\(899\) 10.1432 0.338295
\(900\) −3.29889 1.79512i −0.109963 0.0598375i
\(901\) −7.60102 −0.253227
\(902\) −2.97019 9.14132i −0.0988966 0.304373i
\(903\) 5.21601 3.78965i 0.173578 0.126112i
\(904\) 28.7693 20.9021i 0.956853 0.695194i
\(905\) −0.161891 + 0.636206i −0.00538143 + 0.0211482i
\(906\) −3.62887 2.63653i −0.120561 0.0875927i
\(907\) 40.2189 1.33545 0.667723 0.744409i \(-0.267269\pi\)
0.667723 + 0.744409i \(0.267269\pi\)
\(908\) −0.162299 0.117917i −0.00538609 0.00391323i
\(909\) −2.89270 + 8.90282i −0.0959449 + 0.295288i
\(910\) −0.887902 2.22856i −0.0294337 0.0738759i
\(911\) −2.69918 8.30722i −0.0894279 0.275231i 0.896334 0.443380i \(-0.146221\pi\)
−0.985761 + 0.168150i \(0.946221\pi\)
\(912\) 18.9357 58.2782i 0.627025 1.92978i
\(913\) −10.9653 + 33.7476i −0.362897 + 1.11688i
\(914\) −8.78121 27.0258i −0.290457 0.893934i
\(915\) −4.53502 + 17.8219i −0.149923 + 0.589175i
\(916\) −5.73259 + 17.6431i −0.189410 + 0.582945i
\(917\) 11.9419 + 8.67629i 0.394356 + 0.286516i
\(918\) 4.17339 0.137742
\(919\) 28.4236 + 20.6509i 0.937608 + 0.681212i 0.947844 0.318736i \(-0.103258\pi\)
−0.0102358 + 0.999948i \(0.503258\pi\)
\(920\) 0.248702 0.0161846i 0.00819946 0.000533591i
\(921\) 22.4892 16.3394i 0.741046 0.538401i
\(922\) 7.11434 5.16887i 0.234298 0.170228i
\(923\) 3.21202 + 9.88558i 0.105725 + 0.325388i
\(924\) 3.11469 0.102466
\(925\) 10.7897 + 22.6754i 0.354764 + 0.745563i
\(926\) −3.43045 −0.112731
\(927\) 2.20211 + 6.77740i 0.0723268 + 0.222599i
\(928\) 13.5376 9.83566i 0.444394 0.322871i
\(929\) 44.6390 32.4321i 1.46456 1.06406i 0.482413 0.875944i \(-0.339761\pi\)
0.982146 0.188120i \(-0.0602395\pi\)
\(930\) −13.7488 + 11.4239i −0.450840 + 0.374605i
\(931\) −5.01483 3.64348i −0.164354 0.119410i
\(932\) −12.7305 −0.417002
\(933\) 13.3629 + 9.70875i 0.437483 + 0.317850i
\(934\) −17.6086 + 54.1937i −0.576171 + 1.77327i
\(935\) −2.99059 + 0.194616i −0.0978027 + 0.00636464i
\(936\) 0.427160 + 1.31466i 0.0139622 + 0.0429711i
\(937\) 14.2773 43.9411i 0.466420 1.43549i −0.390767 0.920490i \(-0.627790\pi\)
0.857187 0.515005i \(-0.172210\pi\)
\(938\) −3.02093 + 9.29746i −0.0986368 + 0.303573i
\(939\) 16.6113 + 51.1244i 0.542090 + 1.66838i
\(940\) 20.8552 1.35718i 0.680221 0.0442663i
\(941\) 17.0591 52.5024i 0.556110 1.71153i −0.136885 0.990587i \(-0.543709\pi\)
0.692995 0.720943i \(-0.256291\pi\)
\(942\) −15.8328 11.5032i −0.515862 0.374796i
\(943\) −0.146906 −0.00478393
\(944\) −54.4866 39.5869i −1.77339 1.28844i
\(945\) −6.82810 + 5.67350i −0.222118 + 0.184559i
\(946\) 9.07713 6.59492i 0.295123 0.214419i
\(947\) −3.95192 + 2.87124i −0.128420 + 0.0933027i −0.650141 0.759814i \(-0.725290\pi\)
0.521721 + 0.853116i \(0.325290\pi\)
\(948\) −7.00256 21.5517i −0.227433 0.699965i
\(949\) 3.55472 0.115391
\(950\) 22.0296 + 46.2967i 0.714733 + 1.50206i
\(951\) −42.3404 −1.37298
\(952\) 0.410412 + 1.26312i 0.0133015 + 0.0409379i
\(953\) 13.6522 9.91887i 0.442237 0.321304i −0.344286 0.938865i \(-0.611879\pi\)
0.786523 + 0.617561i \(0.211879\pi\)
\(954\) 16.3257 11.8613i 0.528564 0.384024i
\(955\) −9.04180 + 0.588407i −0.292586 + 0.0190404i
\(956\) −4.50829 3.27546i −0.145808 0.105936i
\(957\) −17.7959 −0.575259
\(958\) −32.6695 23.7358i −1.05550 0.766869i
\(959\) −0.545107 + 1.67767i −0.0176024 + 0.0541746i
\(960\) 3.63002 14.2654i 0.117158 0.460415i
\(961\) −7.78428 23.9576i −0.251106 0.772825i
\(962\) −1.66501 + 5.12438i −0.0536822 + 0.165217i
\(963\) −2.26823 + 6.98091i −0.0730928 + 0.224957i
\(964\) 1.67124 + 5.14354i 0.0538270 + 0.165662i
\(965\) −13.5315 33.9628i −0.435594 1.09330i
\(966\) 0.0546560 0.168214i 0.00175853 0.00541219i
\(967\) −40.4252 29.3707i −1.29999 0.944497i −0.300033 0.953929i \(-0.596998\pi\)
−0.999956 + 0.00943219i \(0.996998\pi\)
\(968\) 13.6929 0.440106
\(969\) 6.38905 + 4.64191i 0.205246 + 0.149120i
\(970\) 7.88919 31.0033i 0.253307 0.995457i
\(971\) −0.408733 + 0.296962i −0.0131169 + 0.00952996i −0.594324 0.804225i \(-0.702580\pi\)
0.581208 + 0.813755i \(0.302580\pi\)
\(972\) −6.06771 + 4.40845i −0.194622 + 0.141401i
\(973\) 6.40874 + 19.7241i 0.205455 + 0.632324i
\(974\) 43.9729 1.40898
\(975\) −5.71059 3.10748i −0.182885 0.0995190i
\(976\) 20.2251 0.647389
\(977\) −0.101326 0.311850i −0.00324171 0.00997697i 0.949423 0.314001i \(-0.101670\pi\)
−0.952664 + 0.304024i \(0.901670\pi\)
\(978\) −62.1018 + 45.1196i −1.98580 + 1.44277i
\(979\) −14.1258 + 10.2630i −0.451464 + 0.328008i
\(980\) 1.39248 + 0.879495i 0.0444811 + 0.0280944i
\(981\) −7.83194 5.69024i −0.250055 0.181675i
\(982\) 18.2571 0.582609
\(983\) −33.5982 24.4105i −1.07161 0.778574i −0.0954130 0.995438i \(-0.530417\pi\)
−0.976202 + 0.216864i \(0.930417\pi\)
\(984\) −3.56726 + 10.9789i −0.113720 + 0.349995i
\(985\) −15.1232 9.55186i −0.481865 0.304347i
\(986\) 1.36700 + 4.20718i 0.0435340 + 0.133984i
\(987\) −7.86196 + 24.1966i −0.250249 + 0.770187i
\(988\) −0.914978 + 2.81601i −0.0291093 + 0.0895893i
\(989\) −0.0529922 0.163093i −0.00168505 0.00518606i
\(990\) 6.11957 5.08478i 0.194493 0.161605i
\(991\) 13.0453 40.1494i 0.414399 1.27539i −0.498389 0.866953i \(-0.666075\pi\)
0.912788 0.408434i \(-0.133925\pi\)
\(992\) 7.75367 + 5.63337i 0.246179 + 0.178860i
\(993\) 9.63780 0.305846
\(994\) −21.4499 15.5843i −0.680350 0.494303i
\(995\) 0.551339 + 1.38381i 0.0174786 + 0.0438698i
\(996\) −20.0995 + 14.6032i −0.636878 + 0.462719i
\(997\) 29.8343 21.6759i 0.944862 0.686483i −0.00472390 0.999989i \(-0.501504\pi\)
0.949586 + 0.313506i \(0.101504\pi\)
\(998\) 11.8752 + 36.5482i 0.375904 + 1.15691i
\(999\) 19.9395 0.630858
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 175.2.h.b.106.5 yes 28
5.2 odd 4 875.2.n.b.99.4 56
5.3 odd 4 875.2.n.b.99.11 56
5.4 even 2 875.2.h.b.526.3 28
25.3 odd 20 875.2.n.b.274.4 56
25.4 even 10 875.2.h.b.351.3 28
25.11 even 5 4375.2.a.g.1.11 14
25.14 even 10 4375.2.a.h.1.4 14
25.21 even 5 inner 175.2.h.b.71.5 28
25.22 odd 20 875.2.n.b.274.11 56
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
175.2.h.b.71.5 28 25.21 even 5 inner
175.2.h.b.106.5 yes 28 1.1 even 1 trivial
875.2.h.b.351.3 28 25.4 even 10
875.2.h.b.526.3 28 5.4 even 2
875.2.n.b.99.4 56 5.2 odd 4
875.2.n.b.99.11 56 5.3 odd 4
875.2.n.b.274.4 56 25.3 odd 20
875.2.n.b.274.11 56 25.22 odd 20
4375.2.a.g.1.11 14 25.11 even 5
4375.2.a.h.1.4 14 25.14 even 10