Properties

Label 300.3.u.a.287.114
Level $300$
Weight $3$
Character 300.287
Analytic conductor $8.174$
Analytic rank $0$
Dimension $928$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [300,3,Mod(23,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([10, 10, 11]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.23");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 300.u (of order \(20\), degree \(8\), 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: \(8.17440793081\)
Analytic rank: \(0\)
Dimension: \(928\)
Relative dimension: \(116\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 287.114
Character \(\chi\) \(=\) 300.287
Dual form 300.3.u.a.23.114

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.99617 + 0.123641i) q^{2} +(2.98767 - 0.271757i) q^{3} +(3.96943 + 0.493620i) q^{4} +(-3.39000 + 3.67531i) q^{5} +(5.99750 - 0.173074i) q^{6} +(-3.39236 + 3.39236i) q^{7} +(7.86263 + 1.47614i) q^{8} +(8.85230 - 1.62384i) q^{9} +O(q^{10})\) \(q+(1.99617 + 0.123641i) q^{2} +(2.98767 - 0.271757i) q^{3} +(3.96943 + 0.493620i) q^{4} +(-3.39000 + 3.67531i) q^{5} +(5.99750 - 0.173074i) q^{6} +(-3.39236 + 3.39236i) q^{7} +(7.86263 + 1.47614i) q^{8} +(8.85230 - 1.62384i) q^{9} +(-7.22144 + 6.91742i) q^{10} +(7.53995 + 5.47810i) q^{11} +(11.9935 + 0.396053i) q^{12} +(2.82913 - 17.8624i) q^{13} +(-7.19118 + 6.35231i) q^{14} +(-9.12938 + 11.9019i) q^{15} +(15.5127 + 3.91877i) q^{16} +(2.62684 + 5.15547i) q^{17} +(17.8715 - 2.14695i) q^{18} +(-6.72338 + 20.6924i) q^{19} +(-15.2705 + 12.9155i) q^{20} +(-9.21334 + 11.0571i) q^{21} +(14.3737 + 11.8675i) q^{22} +(7.68835 - 1.21772i) q^{23} +(23.8921 + 2.27348i) q^{24} +(-2.01586 - 24.9186i) q^{25} +(7.85597 - 35.3067i) q^{26} +(26.0064 - 7.25715i) q^{27} +(-15.1403 + 11.7912i) q^{28} +(-10.0387 - 30.8958i) q^{29} +(-19.6954 + 22.6294i) q^{30} +(-48.1223 - 15.6359i) q^{31} +(30.4815 + 9.74056i) q^{32} +(24.0156 + 14.3177i) q^{33} +(4.60621 + 10.6160i) q^{34} +(-0.967902 - 23.9681i) q^{35} +(35.9401 - 2.07603i) q^{36} +(-49.2909 - 7.80692i) q^{37} +(-15.9795 + 40.4744i) q^{38} +(3.59827 - 54.1358i) q^{39} +(-32.0796 + 23.8936i) q^{40} +(-4.10886 - 5.65536i) q^{41} +(-19.7586 + 20.9328i) q^{42} +(-29.1499 - 29.1499i) q^{43} +(27.2252 + 25.4668i) q^{44} +(-24.0411 + 38.0398i) q^{45} +(15.4979 - 1.48017i) q^{46} +(14.6988 - 28.8480i) q^{47} +(47.4117 + 7.49231i) q^{48} +25.9838i q^{49} +(-0.943040 - 49.9911i) q^{50} +(9.24916 + 14.6890i) q^{51} +(20.0473 - 69.5071i) q^{52} +(23.4248 - 45.9738i) q^{53} +(52.8106 - 11.2711i) q^{54} +(-45.6941 + 9.14097i) q^{55} +(-31.6805 + 21.6653i) q^{56} +(-14.4639 + 63.6492i) q^{57} +(-16.2189 - 62.9146i) q^{58} +(-42.0035 - 57.8128i) q^{59} +(-42.1134 + 42.7371i) q^{60} +(74.4096 + 54.0617i) q^{61} +(-94.1273 - 37.1619i) q^{62} +(-24.5215 + 35.5388i) q^{63} +(59.6420 + 23.2126i) q^{64} +(56.0593 + 70.9515i) q^{65} +(46.1690 + 31.5499i) q^{66} +(23.1805 + 45.4943i) q^{67} +(7.88222 + 21.7609i) q^{68} +(22.6393 - 5.72749i) q^{69} +(1.03134 - 47.9641i) q^{70} +(8.93710 + 27.5056i) q^{71} +(71.9994 + 0.299570i) q^{72} +(-55.6813 + 8.81906i) q^{73} +(-97.4280 - 21.6784i) q^{74} +(-12.7945 - 73.9006i) q^{75} +(-36.9021 + 78.8183i) q^{76} +(-44.1619 + 6.99456i) q^{77} +(13.8762 - 107.620i) q^{78} +(-42.8193 - 131.784i) q^{79} +(-66.9906 + 43.7293i) q^{80} +(75.7263 - 28.7493i) q^{81} +(-7.50277 - 11.7971i) q^{82} +(58.9377 + 115.672i) q^{83} +(-42.0297 + 39.3426i) q^{84} +(-27.8529 - 7.82255i) q^{85} +(-54.5841 - 61.7923i) q^{86} +(-38.3883 - 89.5782i) q^{87} +(51.1975 + 54.2023i) q^{88} +(43.0368 + 31.2680i) q^{89} +(-52.6936 + 72.9615i) q^{90} +(50.9984 + 70.1932i) q^{91} +(31.1194 - 1.03851i) q^{92} +(-148.022 - 33.6372i) q^{93} +(32.9082 - 55.7683i) q^{94} +(-53.2589 - 94.8578i) q^{95} +(93.7156 + 20.8180i) q^{96} +(3.77153 - 7.40205i) q^{97} +(-3.21267 + 51.8682i) q^{98} +(75.6414 + 36.2501i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 928 q - 20 q^{4} - 6 q^{6} - 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 928 q - 20 q^{4} - 6 q^{6} - 20 q^{9} - 8 q^{10} + 10 q^{12} - 32 q^{13} - 12 q^{16} + 14 q^{18} - 12 q^{21} + 56 q^{22} - 32 q^{25} + 64 q^{28} - 78 q^{30} + 20 q^{33} - 20 q^{34} - 70 q^{36} - 124 q^{40} + 454 q^{42} + 84 q^{45} - 12 q^{46} - 76 q^{48} - 324 q^{52} - 660 q^{54} + 52 q^{57} - 200 q^{58} - 826 q^{60} - 24 q^{61} - 20 q^{64} + 138 q^{66} - 20 q^{69} + 352 q^{70} + 590 q^{72} - 144 q^{73} + 96 q^{76} + 308 q^{78} - 12 q^{81} + 20 q^{82} - 10 q^{84} + 864 q^{85} - 760 q^{88} - 538 q^{90} - 388 q^{93} - 1420 q^{94} - 6 q^{96} + 288 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{9}{20}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.99617 + 0.123641i 0.998087 + 0.0618207i
\(3\) 2.98767 0.271757i 0.995889 0.0905855i
\(4\) 3.96943 + 0.493620i 0.992356 + 0.123405i
\(5\) −3.39000 + 3.67531i −0.677999 + 0.735063i
\(6\) 5.99750 0.173074i 0.999584 0.0288457i
\(7\) −3.39236 + 3.39236i −0.484623 + 0.484623i −0.906604 0.421982i \(-0.861335\pi\)
0.421982 + 0.906604i \(0.361335\pi\)
\(8\) 7.86263 + 1.47614i 0.982829 + 0.184517i
\(9\) 8.85230 1.62384i 0.983589 0.180426i
\(10\) −7.22144 + 6.91742i −0.722144 + 0.691742i
\(11\) 7.53995 + 5.47810i 0.685450 + 0.498009i 0.875161 0.483831i \(-0.160755\pi\)
−0.189711 + 0.981840i \(0.560755\pi\)
\(12\) 11.9935 + 0.396053i 0.999455 + 0.0330044i
\(13\) 2.82913 17.8624i 0.217625 1.37403i −0.600791 0.799406i \(-0.705147\pi\)
0.818416 0.574626i \(-0.194853\pi\)
\(14\) −7.19118 + 6.35231i −0.513656 + 0.453736i
\(15\) −9.12938 + 11.9019i −0.608626 + 0.793458i
\(16\) 15.5127 + 3.91877i 0.969542 + 0.244923i
\(17\) 2.62684 + 5.15547i 0.154520 + 0.303263i 0.955269 0.295737i \(-0.0955651\pi\)
−0.800749 + 0.599000i \(0.795565\pi\)
\(18\) 17.8715 2.14695i 0.992861 0.119275i
\(19\) −6.72338 + 20.6924i −0.353862 + 1.08908i 0.602804 + 0.797889i \(0.294050\pi\)
−0.956666 + 0.291186i \(0.905950\pi\)
\(20\) −15.2705 + 12.9155i −0.763527 + 0.645776i
\(21\) −9.21334 + 11.0571i −0.438731 + 0.526530i
\(22\) 14.3737 + 11.8675i 0.653352 + 0.539431i
\(23\) 7.68835 1.21772i 0.334276 0.0529441i 0.0129597 0.999916i \(-0.495875\pi\)
0.321316 + 0.946972i \(0.395875\pi\)
\(24\) 23.8921 + 2.27348i 0.995503 + 0.0947283i
\(25\) −2.01586 24.9186i −0.0806344 0.996744i
\(26\) 7.85597 35.3067i 0.302153 1.35795i
\(27\) 26.0064 7.25715i 0.963201 0.268783i
\(28\) −15.1403 + 11.7912i −0.540723 + 0.421114i
\(29\) −10.0387 30.8958i −0.346160 1.06537i −0.960960 0.276688i \(-0.910763\pi\)
0.614799 0.788684i \(-0.289237\pi\)
\(30\) −19.6954 + 22.6294i −0.656514 + 0.754314i
\(31\) −48.1223 15.6359i −1.55233 0.504383i −0.597586 0.801805i \(-0.703873\pi\)
−0.954746 + 0.297422i \(0.903873\pi\)
\(32\) 30.4815 + 9.74056i 0.952547 + 0.304393i
\(33\) 24.0156 + 14.3177i 0.727745 + 0.433869i
\(34\) 4.60621 + 10.6160i 0.135477 + 0.312235i
\(35\) −0.967902 23.9681i −0.0276543 0.684802i
\(36\) 35.9401 2.07603i 0.998336 0.0576674i
\(37\) −49.2909 7.80692i −1.33219 0.210998i −0.550587 0.834778i \(-0.685596\pi\)
−0.781600 + 0.623780i \(0.785596\pi\)
\(38\) −15.9795 + 40.4744i −0.420513 + 1.06512i
\(39\) 3.59827 54.1358i 0.0922632 1.38810i
\(40\) −32.0796 + 23.8936i −0.801989 + 0.597339i
\(41\) −4.10886 5.65536i −0.100216 0.137936i 0.755964 0.654613i \(-0.227169\pi\)
−0.856180 + 0.516678i \(0.827169\pi\)
\(42\) −19.7586 + 20.9328i −0.470442 + 0.498401i
\(43\) −29.1499 29.1499i −0.677904 0.677904i 0.281622 0.959525i \(-0.409128\pi\)
−0.959525 + 0.281622i \(0.909128\pi\)
\(44\) 27.2252 + 25.4668i 0.618754 + 0.578790i
\(45\) −24.0411 + 38.0398i −0.534248 + 0.845328i
\(46\) 15.4979 1.48017i 0.336910 0.0321777i
\(47\) 14.6988 28.8480i 0.312740 0.613787i −0.680116 0.733105i \(-0.738071\pi\)
0.992856 + 0.119317i \(0.0380706\pi\)
\(48\) 47.4117 + 7.49231i 0.987743 + 0.156090i
\(49\) 25.9838i 0.530281i
\(50\) −0.943040 49.9911i −0.0188608 0.999822i
\(51\) 9.24916 + 14.6890i 0.181356 + 0.288019i
\(52\) 20.0473 69.5071i 0.385524 1.33667i
\(53\) 23.4248 45.9738i 0.441978 0.867430i −0.557332 0.830289i \(-0.688175\pi\)
0.999310 0.0371404i \(-0.0118249\pi\)
\(54\) 52.8106 11.2711i 0.977975 0.208723i
\(55\) −45.6941 + 9.14097i −0.830802 + 0.166199i
\(56\) −31.6805 + 21.6653i −0.565723 + 0.386880i
\(57\) −14.4639 + 63.6492i −0.253753 + 1.11665i
\(58\) −16.2189 62.9146i −0.279636 1.08473i
\(59\) −42.0035 57.8128i −0.711923 0.979879i −0.999754 0.0221971i \(-0.992934\pi\)
0.287830 0.957681i \(-0.407066\pi\)
\(60\) −42.1134 + 42.7371i −0.701890 + 0.712285i
\(61\) 74.4096 + 54.0617i 1.21983 + 0.886258i 0.996086 0.0883903i \(-0.0281723\pi\)
0.223743 + 0.974648i \(0.428172\pi\)
\(62\) −94.1273 37.1619i −1.51818 0.599385i
\(63\) −24.5215 + 35.5388i −0.389231 + 0.564108i
\(64\) 59.6420 + 23.2126i 0.931907 + 0.362697i
\(65\) 56.0593 + 70.9515i 0.862450 + 1.09156i
\(66\) 46.1690 + 31.5499i 0.699531 + 0.478029i
\(67\) 23.1805 + 45.4943i 0.345978 + 0.679020i 0.996776 0.0802306i \(-0.0255657\pi\)
−0.650798 + 0.759251i \(0.725566\pi\)
\(68\) 7.88222 + 21.7609i 0.115915 + 0.320013i
\(69\) 22.6393 5.72749i 0.328106 0.0830071i
\(70\) 1.03134 47.9641i 0.0147335 0.685202i
\(71\) 8.93710 + 27.5056i 0.125875 + 0.387402i 0.994059 0.108839i \(-0.0347132\pi\)
−0.868185 + 0.496241i \(0.834713\pi\)
\(72\) 71.9994 + 0.299570i 0.999991 + 0.00416070i
\(73\) −55.6813 + 8.81906i −0.762758 + 0.120809i −0.525681 0.850682i \(-0.676189\pi\)
−0.237077 + 0.971491i \(0.576189\pi\)
\(74\) −97.4280 21.6784i −1.31660 0.292951i
\(75\) −12.7945 73.9006i −0.170593 0.985342i
\(76\) −36.9021 + 78.8183i −0.485554 + 1.03708i
\(77\) −44.1619 + 6.99456i −0.573531 + 0.0908385i
\(78\) 13.8762 107.620i 0.177900 1.37974i
\(79\) −42.8193 131.784i −0.542016 1.66815i −0.727981 0.685597i \(-0.759541\pi\)
0.185965 0.982556i \(-0.440459\pi\)
\(80\) −66.9906 + 43.7293i −0.837383 + 0.546617i
\(81\) 75.7263 28.7493i 0.934893 0.354930i
\(82\) −7.50277 11.7971i −0.0914972 0.143867i
\(83\) 58.9377 + 115.672i 0.710093 + 1.39364i 0.910328 + 0.413887i \(0.135829\pi\)
−0.200236 + 0.979748i \(0.564171\pi\)
\(84\) −42.0297 + 39.3426i −0.500354 + 0.468364i
\(85\) −27.8529 7.82255i −0.327682 0.0920299i
\(86\) −54.5841 61.7923i −0.634699 0.718516i
\(87\) −38.3883 89.5782i −0.441244 1.02963i
\(88\) 51.1975 + 54.2023i 0.581790 + 0.615935i
\(89\) 43.0368 + 31.2680i 0.483559 + 0.351326i 0.802702 0.596380i \(-0.203395\pi\)
−0.319143 + 0.947707i \(0.603395\pi\)
\(90\) −52.6936 + 72.9615i −0.585485 + 0.810684i
\(91\) 50.9984 + 70.1932i 0.560421 + 0.771354i
\(92\) 31.1194 1.03851i 0.338255 0.0112881i
\(93\) −148.022 33.6372i −1.59164 0.361691i
\(94\) 32.9082 55.7683i 0.350087 0.593279i
\(95\) −53.2589 94.8578i −0.560621 0.998503i
\(96\) 93.7156 + 20.8180i 0.976204 + 0.216854i
\(97\) 3.77153 7.40205i 0.0388818 0.0763098i −0.870748 0.491729i \(-0.836365\pi\)
0.909630 + 0.415419i \(0.136365\pi\)
\(98\) −3.21267 + 51.8682i −0.0327824 + 0.529267i
\(99\) 75.6414 + 36.2501i 0.764055 + 0.366163i
\(100\) 4.29850 99.9076i 0.0429850 0.999076i
\(101\) 126.225i 1.24975i 0.780725 + 0.624875i \(0.214850\pi\)
−0.780725 + 0.624875i \(0.785150\pi\)
\(102\) 16.6468 + 30.4653i 0.163204 + 0.298679i
\(103\) −17.3533 + 34.0578i −0.168479 + 0.330658i −0.959773 0.280777i \(-0.909408\pi\)
0.791294 + 0.611436i \(0.209408\pi\)
\(104\) 48.6118 136.270i 0.467421 1.31028i
\(105\) −9.40525 71.3456i −0.0895738 0.679482i
\(106\) 52.4443 88.8754i 0.494757 0.838447i
\(107\) −61.7494 61.7494i −0.577097 0.577097i 0.357005 0.934102i \(-0.383798\pi\)
−0.934102 + 0.357005i \(0.883798\pi\)
\(108\) 106.813 15.9694i 0.989008 0.147865i
\(109\) −90.4171 124.448i −0.829514 1.14173i −0.988013 0.154369i \(-0.950665\pi\)
0.158499 0.987359i \(-0.449335\pi\)
\(110\) −92.3437 + 12.5973i −0.839488 + 0.114521i
\(111\) −149.386 9.92933i −1.34582 0.0894534i
\(112\) −65.9185 + 39.3307i −0.588558 + 0.351167i
\(113\) 43.7662 + 6.93188i 0.387311 + 0.0613441i 0.347054 0.937845i \(-0.387182\pi\)
0.0402575 + 0.999189i \(0.487182\pi\)
\(114\) −36.7422 + 125.267i −0.322300 + 1.09883i
\(115\) −21.5880 + 32.3852i −0.187722 + 0.281610i
\(116\) −24.5969 127.594i −0.212042 1.09995i
\(117\) −3.96134 162.718i −0.0338576 1.39075i
\(118\) −76.6982 120.598i −0.649985 1.02202i
\(119\) −26.4004 8.57801i −0.221852 0.0720841i
\(120\) −89.3498 + 80.1038i −0.744582 + 0.667532i
\(121\) −10.5497 32.4686i −0.0871876 0.268336i
\(122\) 141.850 + 117.117i 1.16271 + 0.959973i
\(123\) −13.8128 15.7797i −0.112299 0.128290i
\(124\) −183.300 85.8196i −1.47822 0.692093i
\(125\) 98.4174 + 77.0650i 0.787339 + 0.616520i
\(126\) −53.3434 + 67.9098i −0.423360 + 0.538967i
\(127\) 206.636 32.7279i 1.62706 0.257700i 0.724818 0.688940i \(-0.241924\pi\)
0.902237 + 0.431240i \(0.141924\pi\)
\(128\) 116.186 + 53.7107i 0.907702 + 0.419615i
\(129\) −95.0117 79.1684i −0.736525 0.613708i
\(130\) 103.132 + 148.563i 0.793320 + 1.14279i
\(131\) −55.7879 + 171.698i −0.425862 + 1.31067i 0.476304 + 0.879280i \(0.341976\pi\)
−0.902166 + 0.431388i \(0.858024\pi\)
\(132\) 88.2605 + 68.6876i 0.668640 + 0.520360i
\(133\) −47.3881 93.0043i −0.356301 0.699280i
\(134\) 40.6474 + 93.6807i 0.303339 + 0.699110i
\(135\) −61.4894 + 120.183i −0.455477 + 0.890248i
\(136\) 13.0437 + 44.4131i 0.0959098 + 0.326567i
\(137\) −19.4886 + 123.046i −0.142253 + 0.898148i 0.808567 + 0.588404i \(0.200243\pi\)
−0.950820 + 0.309744i \(0.899757\pi\)
\(138\) 45.9002 8.63391i 0.332610 0.0625645i
\(139\) −96.9088 70.4084i −0.697186 0.506535i 0.181829 0.983330i \(-0.441798\pi\)
−0.879014 + 0.476795i \(0.841798\pi\)
\(140\) 7.98910 95.6173i 0.0570650 0.682980i
\(141\) 36.0754 90.1827i 0.255854 0.639593i
\(142\) 14.4392 + 56.0109i 0.101684 + 0.394443i
\(143\) 119.184 119.184i 0.833452 0.833452i
\(144\) 143.686 + 9.50010i 0.997821 + 0.0659729i
\(145\) 147.583 + 67.8414i 1.01781 + 0.467872i
\(146\) −112.240 + 10.7199i −0.768767 + 0.0734237i
\(147\) 7.06126 + 77.6309i 0.0480358 + 0.528101i
\(148\) −191.803 55.3199i −1.29597 0.373783i
\(149\) 27.9201 0.187383 0.0936917 0.995601i \(-0.470133\pi\)
0.0936917 + 0.995601i \(0.470133\pi\)
\(150\) −16.4029 149.100i −0.109353 0.994003i
\(151\) 62.3312i 0.412790i 0.978469 + 0.206395i \(0.0661731\pi\)
−0.978469 + 0.206395i \(0.933827\pi\)
\(152\) −83.4083 + 152.772i −0.548739 + 1.00508i
\(153\) 31.6252 + 41.3722i 0.206701 + 0.270406i
\(154\) −89.0197 + 8.50212i −0.578050 + 0.0552086i
\(155\) 220.601 123.859i 1.42323 0.799090i
\(156\) 41.0055 213.112i 0.262856 1.36610i
\(157\) 39.3455 + 39.3455i 0.250608 + 0.250608i 0.821220 0.570612i \(-0.193294\pi\)
−0.570612 + 0.821220i \(0.693294\pi\)
\(158\) −69.1807 268.358i −0.437853 1.69847i
\(159\) 57.4918 143.720i 0.361584 0.903900i
\(160\) −139.132 + 79.0086i −0.869573 + 0.493804i
\(161\) −21.9507 + 30.2126i −0.136340 + 0.187656i
\(162\) 154.718 48.0258i 0.955047 0.296456i
\(163\) 71.5174 + 11.3272i 0.438757 + 0.0694922i 0.371905 0.928271i \(-0.378705\pi\)
0.0668515 + 0.997763i \(0.478705\pi\)
\(164\) −13.5182 24.4768i −0.0824282 0.149249i
\(165\) −134.035 + 39.7278i −0.812331 + 0.240775i
\(166\) 103.348 + 238.188i 0.622579 + 1.43487i
\(167\) 12.4460 6.34153i 0.0745267 0.0379733i −0.416330 0.909214i \(-0.636684\pi\)
0.490857 + 0.871240i \(0.336684\pi\)
\(168\) −88.7630 + 73.3381i −0.528351 + 0.436536i
\(169\) −150.334 48.8464i −0.889549 0.289032i
\(170\) −54.6322 19.0589i −0.321366 0.112111i
\(171\) −25.9162 + 194.093i −0.151557 + 1.13505i
\(172\) −101.319 130.097i −0.589065 0.756379i
\(173\) 0.789256 + 4.98316i 0.00456217 + 0.0288044i 0.989864 0.142016i \(-0.0453583\pi\)
−0.985302 + 0.170820i \(0.945358\pi\)
\(174\) −65.5541 183.560i −0.376748 1.05494i
\(175\) 91.3714 + 77.6943i 0.522122 + 0.443968i
\(176\) 95.4975 + 114.527i 0.542599 + 0.650723i
\(177\) −141.203 161.311i −0.797759 0.911360i
\(178\) 82.0428 + 67.7376i 0.460915 + 0.380548i
\(179\) 42.3591 13.7633i 0.236643 0.0768899i −0.188295 0.982113i \(-0.560296\pi\)
0.424938 + 0.905223i \(0.360296\pi\)
\(180\) −114.207 + 139.129i −0.634482 + 0.772938i
\(181\) −47.7971 + 147.104i −0.264072 + 0.812731i 0.727833 + 0.685754i \(0.240527\pi\)
−0.991906 + 0.126977i \(0.959473\pi\)
\(182\) 93.1228 + 146.423i 0.511664 + 0.804524i
\(183\) 237.003 + 141.297i 1.29510 + 0.772115i
\(184\) 62.2482 + 1.77460i 0.338306 + 0.00964458i
\(185\) 195.789 154.694i 1.05832 0.836185i
\(186\) −291.320 85.4475i −1.56624 0.459395i
\(187\) −8.43589 + 53.2621i −0.0451117 + 0.284824i
\(188\) 72.5857 107.254i 0.386094 0.570502i
\(189\) −63.6043 + 112.842i −0.336531 + 0.597048i
\(190\) −94.5858 195.938i −0.497820 1.03125i
\(191\) −238.390 + 173.201i −1.24812 + 0.906810i −0.998111 0.0614346i \(-0.980432\pi\)
−0.250005 + 0.968244i \(0.580432\pi\)
\(192\) 184.499 + 53.1435i 0.960931 + 0.276789i
\(193\) 25.8497 25.8497i 0.133936 0.133936i −0.636960 0.770897i \(-0.719808\pi\)
0.770897 + 0.636960i \(0.219808\pi\)
\(194\) 8.44383 14.3095i 0.0435249 0.0737601i
\(195\) 186.768 + 196.745i 0.957784 + 1.00895i
\(196\) −12.8261 + 103.141i −0.0654393 + 0.526228i
\(197\) 196.561 + 100.153i 0.997774 + 0.508391i 0.875041 0.484049i \(-0.160834\pi\)
0.122733 + 0.992440i \(0.460834\pi\)
\(198\) 146.511 + 81.7139i 0.739957 + 0.412697i
\(199\) −243.543 −1.22383 −0.611917 0.790922i \(-0.709601\pi\)
−0.611917 + 0.790922i \(0.709601\pi\)
\(200\) 20.9333 198.901i 0.104666 0.994507i
\(201\) 81.6191 + 129.622i 0.406065 + 0.644888i
\(202\) −15.6066 + 251.967i −0.0772604 + 1.24736i
\(203\) 138.864 + 70.7549i 0.684061 + 0.348546i
\(204\) 29.4631 + 62.8723i 0.144427 + 0.308197i
\(205\) 34.7143 + 4.07030i 0.169338 + 0.0198551i
\(206\) −38.8512 + 65.8398i −0.188598 + 0.319611i
\(207\) 66.0822 23.2642i 0.319238 0.112387i
\(208\) 113.886 266.007i 0.547530 1.27888i
\(209\) −164.049 + 119.189i −0.784924 + 0.570281i
\(210\) −9.95325 143.581i −0.0473964 0.683719i
\(211\) 102.253 140.739i 0.484612 0.667012i −0.494771 0.869024i \(-0.664748\pi\)
0.979383 + 0.202012i \(0.0647480\pi\)
\(212\) 115.677 170.927i 0.545644 0.806257i
\(213\) 34.1759 + 79.7487i 0.160450 + 0.374407i
\(214\) −115.628 130.897i −0.540317 0.611670i
\(215\) 205.953 8.31698i 0.957920 0.0386836i
\(216\) 215.192 18.6713i 0.996257 0.0864411i
\(217\) 216.291 110.206i 0.996731 0.507860i
\(218\) −165.101 259.600i −0.757345 1.19083i
\(219\) −163.961 + 41.4802i −0.748678 + 0.189407i
\(220\) −185.892 + 13.7289i −0.844962 + 0.0624040i
\(221\) 99.5208 32.3363i 0.450321 0.146318i
\(222\) −296.974 38.2910i −1.33772 0.172482i
\(223\) 12.7276 + 80.3590i 0.0570745 + 0.360354i 0.999652 + 0.0263676i \(0.00839405\pi\)
−0.942578 + 0.333987i \(0.891606\pi\)
\(224\) −136.448 + 70.3607i −0.609142 + 0.314110i
\(225\) −58.3087 217.313i −0.259150 0.965837i
\(226\) 86.5078 + 19.2486i 0.382778 + 0.0851706i
\(227\) −9.47489 59.8221i −0.0417396 0.263533i 0.957990 0.286803i \(-0.0925925\pi\)
−0.999729 + 0.0232694i \(0.992592\pi\)
\(228\) −88.8319 + 245.511i −0.389614 + 1.07680i
\(229\) 293.454 95.3488i 1.28146 0.416370i 0.412364 0.911019i \(-0.364703\pi\)
0.869093 + 0.494649i \(0.164703\pi\)
\(230\) −47.0975 + 61.9773i −0.204772 + 0.269466i
\(231\) −130.040 + 32.8987i −0.562945 + 0.142419i
\(232\) −33.3239 257.741i −0.143637 1.11095i
\(233\) 229.890 117.135i 0.986653 0.502725i 0.115273 0.993334i \(-0.463226\pi\)
0.871380 + 0.490609i \(0.163226\pi\)
\(234\) 12.2111 325.302i 0.0521842 1.39018i
\(235\) 56.1966 + 151.817i 0.239135 + 0.646031i
\(236\) −138.192 250.217i −0.585560 1.06024i
\(237\) −163.743 382.091i −0.690898 1.61220i
\(238\) −51.6392 20.3874i −0.216971 0.0856613i
\(239\) −260.622 + 358.716i −1.09047 + 1.50090i −0.243024 + 0.970020i \(0.578139\pi\)
−0.847445 + 0.530883i \(0.821861\pi\)
\(240\) −188.262 + 148.854i −0.784425 + 0.620224i
\(241\) −267.568 + 194.400i −1.11024 + 0.806637i −0.982702 0.185196i \(-0.940708\pi\)
−0.127539 + 0.991834i \(0.540708\pi\)
\(242\) −17.0446 66.1175i −0.0704321 0.273213i
\(243\) 218.432 106.473i 0.898898 0.438159i
\(244\) 268.677 + 251.324i 1.10114 + 1.03002i
\(245\) −95.4986 88.0849i −0.389790 0.359530i
\(246\) −25.6217 33.2069i −0.104153 0.134988i
\(247\) 350.596 + 178.637i 1.41942 + 0.723228i
\(248\) −355.287 193.974i −1.43261 0.782154i
\(249\) 207.521 + 329.572i 0.833416 + 1.32358i
\(250\) 186.930 + 166.004i 0.747720 + 0.664015i
\(251\) 76.7166 0.305644 0.152822 0.988254i \(-0.451164\pi\)
0.152822 + 0.988254i \(0.451164\pi\)
\(252\) −114.879 + 128.964i −0.455869 + 0.511763i
\(253\) 64.6406 + 32.9360i 0.255496 + 0.130182i
\(254\) 416.528 39.7819i 1.63987 0.156622i
\(255\) −85.3411 15.8019i −0.334671 0.0619684i
\(256\) 225.286 + 121.581i 0.880025 + 0.474927i
\(257\) 180.775 180.775i 0.703404 0.703404i −0.261736 0.965140i \(-0.584295\pi\)
0.965140 + 0.261736i \(0.0842948\pi\)
\(258\) −179.871 169.781i −0.697176 0.658067i
\(259\) 193.696 140.729i 0.747863 0.543354i
\(260\) 187.500 + 309.309i 0.721154 + 1.18965i
\(261\) −139.035 257.198i −0.532700 0.985431i
\(262\) −132.591 + 335.841i −0.506074 + 1.28183i
\(263\) −53.9303 + 340.503i −0.205058 + 1.29469i 0.643443 + 0.765494i \(0.277505\pi\)
−0.848501 + 0.529193i \(0.822495\pi\)
\(264\) 167.691 + 148.025i 0.635192 + 0.560701i
\(265\) 89.5581 + 241.944i 0.337955 + 0.912998i
\(266\) −83.0957 191.512i −0.312390 0.719970i
\(267\) 137.077 + 81.7229i 0.513396 + 0.306078i
\(268\) 69.5565 + 192.029i 0.259539 + 0.716525i
\(269\) −97.1892 + 299.118i −0.361298 + 1.11196i 0.590968 + 0.806695i \(0.298746\pi\)
−0.952267 + 0.305267i \(0.901254\pi\)
\(270\) −137.603 + 232.304i −0.509641 + 0.860387i
\(271\) −11.1722 + 3.63007i −0.0412259 + 0.0133951i −0.329557 0.944136i \(-0.606899\pi\)
0.288331 + 0.957531i \(0.406899\pi\)
\(272\) 20.5463 + 90.2691i 0.0755377 + 0.331872i
\(273\) 171.442 + 195.855i 0.627991 + 0.717417i
\(274\) −54.1163 + 243.212i −0.197505 + 0.887636i
\(275\) 121.307 198.928i 0.441116 0.723375i
\(276\) 92.6922 11.5596i 0.335841 0.0418827i
\(277\) 35.2587 + 222.615i 0.127288 + 0.803663i 0.965896 + 0.258929i \(0.0833695\pi\)
−0.838609 + 0.544734i \(0.816630\pi\)
\(278\) −184.742 152.529i −0.664538 0.548667i
\(279\) −451.383 60.2708i −1.61786 0.216024i
\(280\) 27.7699 189.881i 0.0991781 0.678146i
\(281\) 64.6904 + 21.0192i 0.230215 + 0.0748013i 0.421853 0.906664i \(-0.361380\pi\)
−0.191638 + 0.981466i \(0.561380\pi\)
\(282\) 83.1632 175.560i 0.294905 0.622553i
\(283\) 4.75346 2.42201i 0.0167967 0.00855834i −0.445572 0.895246i \(-0.647000\pi\)
0.462369 + 0.886688i \(0.347000\pi\)
\(284\) 21.8979 + 113.593i 0.0771051 + 0.399975i
\(285\) −184.898 268.930i −0.648765 0.943614i
\(286\) 252.647 223.175i 0.883382 0.780333i
\(287\) 33.1238 + 5.24629i 0.115414 + 0.0182798i
\(288\) 285.648 + 36.7294i 0.991834 + 0.127533i
\(289\) 150.191 206.721i 0.519693 0.715297i
\(290\) 286.213 + 153.671i 0.986941 + 0.529899i
\(291\) 9.25652 23.1398i 0.0318094 0.0795181i
\(292\) −225.376 + 7.52119i −0.771836 + 0.0257575i
\(293\) −115.520 115.520i −0.394266 0.394266i 0.481939 0.876205i \(-0.339933\pi\)
−0.876205 + 0.481939i \(0.839933\pi\)
\(294\) 4.49712 + 155.838i 0.0152963 + 0.530061i
\(295\) 354.872 + 41.6093i 1.20296 + 0.141048i
\(296\) −376.032 134.143i −1.27038 0.453186i
\(297\) 235.843 + 87.7471i 0.794083 + 0.295445i
\(298\) 55.7335 + 3.45208i 0.187025 + 0.0115842i
\(299\) 140.778i 0.470828i
\(300\) −14.3081 299.659i −0.0476935 0.998862i
\(301\) 197.774 0.657055
\(302\) −7.70672 + 124.424i −0.0255189 + 0.412000i
\(303\) 34.3024 + 377.117i 0.113209 + 1.24461i
\(304\) −185.387 + 294.648i −0.609824 + 0.969236i
\(305\) −450.942 + 90.2095i −1.47850 + 0.295769i
\(306\) 58.0141 + 86.4963i 0.189589 + 0.282668i
\(307\) 51.6609 51.6609i 0.168276 0.168276i −0.617945 0.786221i \(-0.712035\pi\)
0.786221 + 0.617945i \(0.212035\pi\)
\(308\) −178.750 + 5.96520i −0.580357 + 0.0193675i
\(309\) −42.5905 + 106.469i −0.137833 + 0.344561i
\(310\) 455.672 219.969i 1.46991 0.709576i
\(311\) −365.427 265.498i −1.17501 0.853692i −0.183407 0.983037i \(-0.558713\pi\)
−0.991600 + 0.129345i \(0.958713\pi\)
\(312\) 108.204 420.338i 0.346807 1.34724i
\(313\) 44.9793 283.988i 0.143704 0.907310i −0.805488 0.592612i \(-0.798097\pi\)
0.949192 0.314698i \(-0.101903\pi\)
\(314\) 73.6758 + 83.4053i 0.234636 + 0.265622i
\(315\) −47.4884 210.601i −0.150757 0.668574i
\(316\) −104.917 544.244i −0.332015 1.72229i
\(317\) 221.278 + 434.282i 0.698038 + 1.36998i 0.918829 + 0.394655i \(0.129136\pi\)
−0.220792 + 0.975321i \(0.570864\pi\)
\(318\) 132.534 279.782i 0.416772 0.879818i
\(319\) 93.5592 287.946i 0.293289 0.902651i
\(320\) −287.500 + 140.512i −0.898437 + 0.439102i
\(321\) −201.267 167.706i −0.627001 0.522448i
\(322\) −47.5530 + 57.5956i −0.147680 + 0.178868i
\(323\) −124.340 + 19.6936i −0.384955 + 0.0609709i
\(324\) 314.781 76.7384i 0.971547 0.236847i
\(325\) −450.810 34.4898i −1.38711 0.106122i
\(326\) 141.361 + 31.4536i 0.433621 + 0.0964836i
\(327\) −303.956 347.239i −0.929528 1.06189i
\(328\) −23.9584 50.5313i −0.0730439 0.154059i
\(329\) 47.9992 + 147.726i 0.145894 + 0.449016i
\(330\) −272.469 + 62.7315i −0.825663 + 0.190095i
\(331\) −410.627 133.421i −1.24057 0.403084i −0.386035 0.922484i \(-0.626155\pi\)
−0.854531 + 0.519400i \(0.826155\pi\)
\(332\) 176.851 + 488.243i 0.532683 + 1.47061i
\(333\) −449.015 + 10.9312i −1.34839 + 0.0328265i
\(334\) 25.6284 11.1200i 0.0767317 0.0332933i
\(335\) −245.788 69.0299i −0.733695 0.206059i
\(336\) −186.254 + 135.421i −0.554328 + 0.403038i
\(337\) −320.682 50.7910i −0.951578 0.150715i −0.338702 0.940894i \(-0.609988\pi\)
−0.612877 + 0.790179i \(0.709988\pi\)
\(338\) −294.053 116.093i −0.869979 0.343472i
\(339\) 132.642 + 8.81640i 0.391276 + 0.0260071i
\(340\) −106.699 44.7998i −0.313820 0.131764i
\(341\) −277.185 381.512i −0.812859 1.11880i
\(342\) −75.7313 + 384.240i −0.221437 + 1.12351i
\(343\) −254.372 254.372i −0.741609 0.741609i
\(344\) −186.166 272.224i −0.541179 0.791348i
\(345\) −55.6968 + 102.623i −0.161440 + 0.297457i
\(346\) 0.959367 + 10.0449i 0.00277274 + 0.0290314i
\(347\) 167.897 329.517i 0.483853 0.949615i −0.512030 0.858968i \(-0.671106\pi\)
0.995883 0.0906477i \(-0.0288937\pi\)
\(348\) −108.162 374.523i −0.310810 1.07622i
\(349\) 539.768i 1.54661i 0.634032 + 0.773306i \(0.281399\pi\)
−0.634032 + 0.773306i \(0.718601\pi\)
\(350\) 172.787 + 166.389i 0.493677 + 0.475396i
\(351\) −56.0547 485.069i −0.159700 1.38196i
\(352\) 176.469 + 240.424i 0.501333 + 0.683023i
\(353\) 5.72344 11.2329i 0.0162137 0.0318212i −0.882758 0.469829i \(-0.844316\pi\)
0.898971 + 0.438008i \(0.144316\pi\)
\(354\) −261.922 339.463i −0.739892 0.958935i
\(355\) −131.388 60.3971i −0.370108 0.170133i
\(356\) 155.397 + 145.360i 0.436508 + 0.408314i
\(357\) −81.2067 18.4537i −0.227470 0.0516912i
\(358\) 86.2578 22.2366i 0.240944 0.0621134i
\(359\) −25.3285 34.8617i −0.0705529 0.0971077i 0.772282 0.635280i \(-0.219115\pi\)
−0.842835 + 0.538172i \(0.819115\pi\)
\(360\) −245.179 + 263.605i −0.681052 + 0.732235i
\(361\) −90.9177 66.0556i −0.251850 0.182979i
\(362\) −113.600 + 287.736i −0.313811 + 0.794851i
\(363\) −40.3425 94.1385i −0.111136 0.259335i
\(364\) 167.785 + 303.801i 0.460949 + 0.834617i
\(365\) 156.347 234.543i 0.428347 0.642583i
\(366\) 455.628 + 311.357i 1.24489 + 0.850702i
\(367\) −291.537 572.174i −0.794379 1.55906i −0.828732 0.559646i \(-0.810937\pi\)
0.0343529 0.999410i \(-0.489063\pi\)
\(368\) 124.039 + 11.2389i 0.337062 + 0.0305404i
\(369\) −45.5563 43.3909i −0.123459 0.117590i
\(370\) 409.955 284.589i 1.10799 0.769160i
\(371\) 76.4942 + 235.425i 0.206184 + 0.634569i
\(372\) −570.960 206.587i −1.53484 0.555342i
\(373\) 470.462 74.5139i 1.26129 0.199769i 0.510252 0.860025i \(-0.329552\pi\)
0.751040 + 0.660256i \(0.229552\pi\)
\(374\) −23.4249 + 105.277i −0.0626334 + 0.281490i
\(375\) 314.981 + 203.499i 0.839950 + 0.542664i
\(376\) 158.155 205.124i 0.420624 0.545542i
\(377\) −580.274 + 91.9064i −1.53919 + 0.243784i
\(378\) −140.917 + 217.388i −0.372797 + 0.575101i
\(379\) −0.168440 0.518404i −0.000444431 0.00136782i 0.950834 0.309701i \(-0.100229\pi\)
−0.951278 + 0.308333i \(0.900229\pi\)
\(380\) −164.584 402.821i −0.433115 1.06005i
\(381\) 608.466 153.935i 1.59702 0.404028i
\(382\) −497.283 + 316.264i −1.30179 + 0.827916i
\(383\) −159.991 314.000i −0.417731 0.819844i −0.999977 0.00683074i \(-0.997826\pi\)
0.582245 0.813013i \(-0.302174\pi\)
\(384\) 361.721 + 128.895i 0.941981 + 0.335665i
\(385\) 124.002 186.020i 0.322082 0.483170i
\(386\) 54.7967 48.4045i 0.141960 0.125400i
\(387\) −305.378 210.709i −0.789090 0.544467i
\(388\) 18.6246 27.5202i 0.0480016 0.0709283i
\(389\) −13.5075 9.81376i −0.0347236 0.0252282i 0.570288 0.821445i \(-0.306832\pi\)
−0.605012 + 0.796217i \(0.706832\pi\)
\(390\) 348.496 + 415.829i 0.893578 + 1.06623i
\(391\) 26.4740 + 36.4383i 0.0677084 + 0.0931926i
\(392\) −38.3556 + 204.301i −0.0978459 + 0.521176i
\(393\) −120.016 + 528.136i −0.305384 + 1.34386i
\(394\) 379.988 + 224.226i 0.964436 + 0.569102i
\(395\) 629.505 + 289.373i 1.59368 + 0.732591i
\(396\) 282.359 + 181.230i 0.713029 + 0.457652i
\(397\) −69.4143 + 136.233i −0.174847 + 0.343157i −0.961754 0.273915i \(-0.911681\pi\)
0.786907 + 0.617072i \(0.211681\pi\)
\(398\) −486.154 30.1120i −1.22149 0.0756583i
\(399\) −166.854 264.988i −0.418181 0.664130i
\(400\) 66.3789 394.454i 0.165947 0.986135i
\(401\) 687.182i 1.71367i −0.515589 0.856836i \(-0.672427\pi\)
0.515589 0.856836i \(-0.327573\pi\)
\(402\) 146.899 + 268.841i 0.365421 + 0.668758i
\(403\) −415.439 + 815.345i −1.03087 + 2.02319i
\(404\) −62.3070 + 501.040i −0.154225 + 1.24020i
\(405\) −151.049 + 375.778i −0.372961 + 0.927847i
\(406\) 268.449 + 158.409i 0.661205 + 0.390169i
\(407\) −328.884 328.884i −0.808069 0.808069i
\(408\) 51.0399 + 129.147i 0.125098 + 0.316537i
\(409\) −344.210 473.764i −0.841588 1.15835i −0.985654 0.168779i \(-0.946018\pi\)
0.144066 0.989568i \(-0.453982\pi\)
\(410\) 68.7925 + 12.4172i 0.167787 + 0.0302857i
\(411\) −24.7869 + 372.917i −0.0603086 + 0.907342i
\(412\) −85.6944 + 126.624i −0.207996 + 0.307340i
\(413\) 338.613 + 53.6310i 0.819886 + 0.129857i
\(414\) 134.788 38.2689i 0.325575 0.0924370i
\(415\) −624.928 175.512i −1.50585 0.422921i
\(416\) 260.226 516.916i 0.625544 1.24259i
\(417\) −308.665 184.021i −0.740204 0.441298i
\(418\) −342.207 + 217.638i −0.818678 + 0.520665i
\(419\) −238.877 77.6160i −0.570113 0.185241i 0.00975339 0.999952i \(-0.496895\pi\)
−0.579867 + 0.814711i \(0.696895\pi\)
\(420\) −2.11586 287.844i −0.00503777 0.685342i
\(421\) 135.860 + 418.135i 0.322709 + 0.993195i 0.972464 + 0.233052i \(0.0748712\pi\)
−0.649756 + 0.760143i \(0.725129\pi\)
\(422\) 221.516 268.298i 0.524921 0.635777i
\(423\) 83.2736 279.239i 0.196864 0.660141i
\(424\) 252.044 326.897i 0.594444 0.770983i
\(425\) 123.172 75.8499i 0.289816 0.178470i
\(426\) 58.3608 + 163.418i 0.136997 + 0.383610i
\(427\) −435.821 + 69.0273i −1.02066 + 0.161656i
\(428\) −214.629 275.590i −0.501469 0.643903i
\(429\) 323.692 388.470i 0.754527 0.905524i
\(430\) 412.146 + 8.86214i 0.958479 + 0.0206096i
\(431\) −221.004 + 680.181i −0.512771 + 1.57815i 0.274531 + 0.961578i \(0.411477\pi\)
−0.787302 + 0.616568i \(0.788523\pi\)
\(432\) 431.868 10.6646i 0.999695 0.0246865i
\(433\) 111.846 + 219.509i 0.258304 + 0.506950i 0.983343 0.181758i \(-0.0581786\pi\)
−0.725040 + 0.688707i \(0.758179\pi\)
\(434\) 445.380 193.247i 1.02622 0.445270i
\(435\) 459.364 + 162.581i 1.05601 + 0.373749i
\(436\) −297.474 538.620i −0.682279 1.23537i
\(437\) −26.4942 + 167.278i −0.0606275 + 0.382787i
\(438\) −332.423 + 62.5293i −0.758956 + 0.142761i
\(439\) 421.847 + 306.490i 0.960927 + 0.698154i 0.953366 0.301817i \(-0.0975932\pi\)
0.00756121 + 0.999971i \(0.497593\pi\)
\(440\) −372.770 + 4.42135i −0.847204 + 0.0100485i
\(441\) 42.1934 + 230.016i 0.0956766 + 0.521579i
\(442\) 202.659 52.2440i 0.458505 0.118199i
\(443\) 249.967 249.967i 0.564260 0.564260i −0.366255 0.930515i \(-0.619360\pi\)
0.930515 + 0.366255i \(0.119360\pi\)
\(444\) −588.077 113.154i −1.32450 0.254851i
\(445\) −260.814 + 52.1751i −0.586099 + 0.117247i
\(446\) 15.4708 + 161.984i 0.0346880 + 0.363193i
\(447\) 83.4160 7.58748i 0.186613 0.0169742i
\(448\) −281.073 + 123.582i −0.627395 + 0.275852i
\(449\) −637.254 −1.41927 −0.709637 0.704568i \(-0.751141\pi\)
−0.709637 + 0.704568i \(0.751141\pi\)
\(450\) −89.5254 441.005i −0.198945 0.980011i
\(451\) 65.1499i 0.144457i
\(452\) 170.305 + 49.1194i 0.376781 + 0.108671i
\(453\) 16.9389 + 186.225i 0.0373928 + 0.411093i
\(454\) −11.5170 120.587i −0.0253679 0.265610i
\(455\) −430.866 50.5197i −0.946959 0.111032i
\(456\) −207.679 + 479.100i −0.455437 + 1.05066i
\(457\) 427.713 + 427.713i 0.935914 + 0.935914i 0.998067 0.0621530i \(-0.0197967\pi\)
−0.0621530 + 0.998067i \(0.519797\pi\)
\(458\) 597.573 154.050i 1.30475 0.336353i
\(459\) 105.729 + 115.012i 0.230346 + 0.250571i
\(460\) −101.678 + 117.894i −0.221039 + 0.256292i
\(461\) −250.193 + 344.362i −0.542719 + 0.746988i −0.989002 0.147903i \(-0.952748\pi\)
0.446283 + 0.894892i \(0.352748\pi\)
\(462\) −263.651 + 49.5932i −0.570672 + 0.107345i
\(463\) −665.942 105.475i −1.43832 0.227807i −0.611932 0.790910i \(-0.709608\pi\)
−0.826387 + 0.563103i \(0.809608\pi\)
\(464\) −34.6528 518.616i −0.0746828 1.11771i
\(465\) 625.423 429.999i 1.34500 0.924729i
\(466\) 473.383 205.398i 1.01584 0.440768i
\(467\) 486.338 247.802i 1.04141 0.530624i 0.152307 0.988333i \(-0.451330\pi\)
0.889102 + 0.457709i \(0.151330\pi\)
\(468\) 64.5963 647.851i 0.138026 1.38430i
\(469\) −232.970 75.6965i −0.496738 0.161400i
\(470\) 93.4074 + 310.002i 0.198739 + 0.659579i
\(471\) 128.244 + 106.859i 0.272280 + 0.226877i
\(472\) −244.918 516.564i −0.518895 1.09442i
\(473\) −60.1028 379.474i −0.127067 0.802271i
\(474\) −279.617 782.965i −0.589909 1.65182i
\(475\) 529.180 + 125.824i 1.11406 + 0.264893i
\(476\) −100.560 47.0815i −0.211261 0.0989108i
\(477\) 132.710 445.012i 0.278217 0.932938i
\(478\) −564.600 + 683.836i −1.18117 + 1.43062i
\(479\) 145.198 47.1775i 0.303126 0.0984917i −0.153505 0.988148i \(-0.549056\pi\)
0.456631 + 0.889656i \(0.349056\pi\)
\(480\) −394.208 + 273.861i −0.821267 + 0.570544i
\(481\) −278.901 + 858.369i −0.579836 + 1.78455i
\(482\) −558.148 + 354.973i −1.15798 + 0.736458i
\(483\) −57.3710 + 96.2304i −0.118781 + 0.199235i
\(484\) −25.8491 134.089i −0.0534072 0.277044i
\(485\) 14.4194 + 38.9545i 0.0297307 + 0.0803185i
\(486\) 449.193 185.531i 0.924266 0.381750i
\(487\) 50.1651 316.730i 0.103008 0.650369i −0.881118 0.472897i \(-0.843208\pi\)
0.984126 0.177472i \(-0.0567919\pi\)
\(488\) 505.253 + 534.906i 1.03535 + 1.09612i
\(489\) 216.748 + 14.4067i 0.443248 + 0.0294615i
\(490\) −179.741 187.640i −0.366818 0.382940i
\(491\) 572.763 416.137i 1.16652 0.847529i 0.175935 0.984402i \(-0.443705\pi\)
0.990589 + 0.136872i \(0.0437050\pi\)
\(492\) −47.0397 69.4547i −0.0956091 0.141168i
\(493\) 132.912 132.912i 0.269599 0.269599i
\(494\) 677.763 + 399.940i 1.37199 + 0.809594i
\(495\) −389.655 + 155.118i −0.787181 + 0.313370i
\(496\) −685.232 431.135i −1.38152 0.869223i
\(497\) −123.627 62.9909i −0.248746 0.126742i
\(498\) 373.499 + 683.541i 0.749997 + 1.37257i
\(499\) 434.196 0.870133 0.435066 0.900398i \(-0.356725\pi\)
0.435066 + 0.900398i \(0.356725\pi\)
\(500\) 352.620 + 354.485i 0.705240 + 0.708969i
\(501\) 35.4610 22.3287i 0.0707805 0.0445682i
\(502\) 153.140 + 9.48534i 0.305059 + 0.0188951i
\(503\) −86.5019 44.0749i −0.171972 0.0876241i 0.365886 0.930660i \(-0.380766\pi\)
−0.537858 + 0.843036i \(0.680766\pi\)
\(504\) −245.264 + 243.232i −0.486635 + 0.482602i
\(505\) −463.915 427.901i −0.918644 0.847329i
\(506\) 124.962 + 73.7383i 0.246960 + 0.145728i
\(507\) −462.421 105.083i −0.912073 0.207263i
\(508\) 836.382 27.9115i 1.64642 0.0549439i
\(509\) 237.668 172.676i 0.466931 0.339245i −0.329313 0.944221i \(-0.606817\pi\)
0.796244 + 0.604976i \(0.206817\pi\)
\(510\) −168.402 42.0951i −0.330200 0.0825394i
\(511\) 158.974 218.809i 0.311103 0.428197i
\(512\) 434.679 + 270.552i 0.848982 + 0.528422i
\(513\) −24.6830 + 586.929i −0.0481150 + 1.14411i
\(514\) 383.209 338.507i 0.745544 0.658574i
\(515\) −66.3455 179.235i −0.128826 0.348029i
\(516\) −338.063 361.153i −0.655161 0.699908i
\(517\) 268.860 136.991i 0.520039 0.264973i
\(518\) 404.052 256.970i 0.780023 0.496081i
\(519\) 3.71224 + 14.6735i 0.00715268 + 0.0282727i
\(520\) 336.040 + 640.617i 0.646230 + 1.23196i
\(521\) 399.981 129.962i 0.767717 0.249446i 0.101130 0.994873i \(-0.467754\pi\)
0.666587 + 0.745427i \(0.267754\pi\)
\(522\) −245.737 530.602i −0.470761 1.01648i
\(523\) 45.7492 + 288.849i 0.0874745 + 0.552292i 0.992037 + 0.125950i \(0.0401980\pi\)
−0.904562 + 0.426342i \(0.859802\pi\)
\(524\) −306.199 + 654.003i −0.584350 + 1.24810i
\(525\) 294.101 + 207.294i 0.560193 + 0.394846i
\(526\) −149.755 + 673.035i −0.284705 + 1.27953i
\(527\) −45.7994 289.166i −0.0869059 0.548702i
\(528\) 316.438 + 316.217i 0.599315 + 0.598896i
\(529\) −445.481 + 144.746i −0.842119 + 0.273621i
\(530\) 148.859 + 494.036i 0.280866 + 0.932144i
\(531\) −465.706 443.570i −0.877035 0.835348i
\(532\) −142.195 392.565i −0.267283 0.737905i
\(533\) −112.643 + 57.3945i −0.211338 + 0.107682i
\(534\) 263.525 + 180.082i 0.493492 + 0.337231i
\(535\) 436.279 17.6182i 0.815474 0.0329313i
\(536\) 115.104 + 391.923i 0.214747 + 0.731200i
\(537\) 122.815 52.6315i 0.228705 0.0980102i
\(538\) −230.990 + 585.075i −0.429349 + 1.08750i
\(539\) −142.342 + 195.917i −0.264085 + 0.363481i
\(540\) −303.402 + 446.707i −0.561856 + 0.827235i
\(541\) 749.044 544.212i 1.38455 1.00594i 0.388116 0.921611i \(-0.373126\pi\)
0.996438 0.0843264i \(-0.0268739\pi\)
\(542\) −22.7505 + 5.86491i −0.0419751 + 0.0108209i
\(543\) −102.825 + 452.488i −0.189365 + 0.833311i
\(544\) 29.8529 + 182.733i 0.0548767 + 0.335907i
\(545\) 763.900 + 89.5685i 1.40165 + 0.164346i
\(546\) 318.011 + 412.158i 0.582439 + 0.754867i
\(547\) 288.019 + 146.753i 0.526542 + 0.268287i 0.696991 0.717080i \(-0.254522\pi\)
−0.170449 + 0.985367i \(0.554522\pi\)
\(548\) −138.097 + 478.803i −0.252001 + 0.873728i
\(549\) 746.483 + 357.742i 1.35971 + 0.651624i
\(550\) 266.746 382.097i 0.484992 0.694721i
\(551\) 706.803 1.28276
\(552\) 186.459 11.6144i 0.337788 0.0210406i
\(553\) 592.318 + 301.801i 1.07110 + 0.545752i
\(554\) 42.8581 + 448.737i 0.0773613 + 0.809995i
\(555\) 542.913 515.382i 0.978221 0.928615i
\(556\) −349.917 327.317i −0.629348 0.588699i
\(557\) −109.030 + 109.030i −0.195744 + 0.195744i −0.798173 0.602429i \(-0.794200\pi\)
0.602429 + 0.798173i \(0.294200\pi\)
\(558\) −893.587 176.121i −1.60141 0.315628i
\(559\) −603.156 + 438.218i −1.07899 + 0.783933i
\(560\) 78.9107 375.602i 0.140912 0.670718i
\(561\) −10.7293 + 161.422i −0.0191253 + 0.287739i
\(562\) 126.534 + 49.9564i 0.225150 + 0.0888903i
\(563\) −155.544 + 982.064i −0.276277 + 1.74434i 0.325377 + 0.945584i \(0.394509\pi\)
−0.601653 + 0.798757i \(0.705491\pi\)
\(564\) 187.715 340.166i 0.332828 0.603131i
\(565\) −173.844 + 137.355i −0.307688 + 0.243107i
\(566\) 9.78820 4.24703i 0.0172936 0.00750359i
\(567\) −159.363 + 354.419i −0.281063 + 0.625078i
\(568\) 29.6672 + 229.458i 0.0522310 + 0.403976i
\(569\) −163.807 + 504.146i −0.287886 + 0.886021i 0.697633 + 0.716455i \(0.254237\pi\)
−0.985519 + 0.169566i \(0.945763\pi\)
\(570\) −335.838 559.692i −0.589190 0.981916i
\(571\) 185.963 60.4229i 0.325679 0.105819i −0.141614 0.989922i \(-0.545229\pi\)
0.467293 + 0.884102i \(0.345229\pi\)
\(572\) 531.922 414.259i 0.929933 0.724229i
\(573\) −665.162 + 582.250i −1.16084 + 1.01614i
\(574\) 65.4722 + 14.5680i 0.114063 + 0.0253798i
\(575\) −45.8424 189.128i −0.0797259 0.328919i
\(576\) 565.663 + 108.636i 0.982053 + 0.188605i
\(577\) −52.0093 328.374i −0.0901374 0.569105i −0.990880 0.134751i \(-0.956977\pi\)
0.900742 0.434354i \(-0.143023\pi\)
\(578\) 325.367 394.081i 0.562919 0.681801i
\(579\) 70.2055 84.2552i 0.121253 0.145518i
\(580\) 552.331 + 342.141i 0.952294 + 0.589898i
\(581\) −592.338 192.462i −1.01951 0.331260i
\(582\) 21.3387 45.0466i 0.0366644 0.0773996i
\(583\) 428.471 218.317i 0.734941 0.374471i
\(584\) −450.820 12.8522i −0.771952 0.0220072i
\(585\) 611.467 + 537.053i 1.04524 + 0.918039i
\(586\) −216.315 244.881i −0.369138 0.417886i
\(587\) 913.619 + 144.703i 1.55642 + 0.246513i 0.874541 0.484951i \(-0.161163\pi\)
0.681880 + 0.731464i \(0.261163\pi\)
\(588\) −10.2910 + 311.636i −0.0175016 + 0.529992i
\(589\) 647.089 890.641i 1.09862 1.51212i
\(590\) 703.242 + 126.936i 1.19194 + 0.215146i
\(591\) 614.477 + 245.807i 1.03972 + 0.415917i
\(592\) −734.041 314.266i −1.23993 0.530855i
\(593\) −379.012 379.012i −0.639144 0.639144i 0.311201 0.950344i \(-0.399269\pi\)
−0.950344 + 0.311201i \(0.899269\pi\)
\(594\) 459.934 + 204.318i 0.774299 + 0.343971i
\(595\) 121.024 67.9503i 0.203402 0.114202i
\(596\) 110.827 + 13.7819i 0.185951 + 0.0231240i
\(597\) −727.625 + 66.1844i −1.21880 + 0.110862i
\(598\) 17.4059 281.017i 0.0291069 0.469928i
\(599\) 19.9492i 0.0333042i −0.999861 0.0166521i \(-0.994699\pi\)
0.999861 0.0166521i \(-0.00530077\pi\)
\(600\) 8.48882 599.940i 0.0141480 0.999900i
\(601\) −1000.68 −1.66502 −0.832512 0.554007i \(-0.813098\pi\)
−0.832512 + 0.554007i \(0.813098\pi\)
\(602\) 394.791 + 24.4530i 0.655799 + 0.0406196i
\(603\) 279.076 + 365.088i 0.462813 + 0.605453i
\(604\) −30.7679 + 247.419i −0.0509403 + 0.409634i
\(605\) 155.096 + 71.2951i 0.256357 + 0.117843i
\(606\) 21.8463 + 757.033i 0.0360499 + 1.24923i
\(607\) −353.094 + 353.094i −0.581703 + 0.581703i −0.935371 0.353668i \(-0.884934\pi\)
0.353668 + 0.935371i \(0.384934\pi\)
\(608\) −406.495 + 565.247i −0.668576 + 0.929682i
\(609\) 434.108 + 173.655i 0.712822 + 0.285147i
\(610\) −911.313 + 124.319i −1.49395 + 0.203801i
\(611\) −473.710 344.171i −0.775303 0.563291i
\(612\) 105.112 + 179.835i 0.171751 + 0.293847i
\(613\) 65.0542 410.736i 0.106124 0.670043i −0.876071 0.482182i \(-0.839844\pi\)
0.982196 0.187861i \(-0.0601555\pi\)
\(614\) 109.512 96.7367i 0.178358 0.157552i
\(615\) 104.821 + 2.72687i 0.170440 + 0.00443394i
\(616\) −357.554 10.1933i −0.580445 0.0165476i
\(617\) −386.766 759.071i −0.626849 1.23026i −0.958023 0.286691i \(-0.907445\pi\)
0.331174 0.943570i \(-0.392555\pi\)
\(618\) −98.1821 + 207.265i −0.158871 + 0.335381i
\(619\) −252.743 + 777.864i −0.408309 + 1.25665i 0.509792 + 0.860298i \(0.329723\pi\)
−0.918100 + 0.396348i \(0.870277\pi\)
\(620\) 936.799 382.756i 1.51097 0.617348i
\(621\) 191.109 87.4639i 0.307745 0.140844i
\(622\) −696.630 575.163i −1.11998 0.924699i
\(623\) −252.069 + 39.9237i −0.404604 + 0.0640831i
\(624\) 267.965 825.690i 0.429430 1.32322i
\(625\) −616.873 + 100.465i −0.986996 + 0.160744i
\(626\) 124.899 561.329i 0.199520 0.896691i
\(627\) −457.734 + 400.677i −0.730038 + 0.639039i
\(628\) 136.757 + 175.601i 0.217767 + 0.279619i
\(629\) −89.2312 274.625i −0.141862 0.436606i
\(630\) −68.7561 426.267i −0.109137 0.676615i
\(631\) −410.428 133.356i −0.650441 0.211341i −0.0348323 0.999393i \(-0.511090\pi\)
−0.615608 + 0.788052i \(0.711090\pi\)
\(632\) −142.141 1099.38i −0.224906 1.73952i
\(633\) 267.252 448.270i 0.422198 0.708168i
\(634\) 388.014 + 894.263i 0.612010 + 1.41051i
\(635\) −580.210 + 870.400i −0.913716 + 1.37071i
\(636\) 299.153 542.107i 0.470366 0.852370i
\(637\) 464.133 + 73.5115i 0.728624 + 0.115403i
\(638\) 222.362 563.222i 0.348530 0.882793i
\(639\) 123.778 + 228.975i 0.193706 + 0.358333i
\(640\) −591.273 + 244.941i −0.923865 + 0.382720i
\(641\) 62.8459 + 86.5000i 0.0980436 + 0.134945i 0.855220 0.518265i \(-0.173422\pi\)
−0.757177 + 0.653210i \(0.773422\pi\)
\(642\) −381.029 359.655i −0.593504 0.560210i
\(643\) 167.953 + 167.953i 0.261202 + 0.261202i 0.825542 0.564340i \(-0.190869\pi\)
−0.564340 + 0.825542i \(0.690869\pi\)
\(644\) −102.045 + 109.091i −0.158455 + 0.169396i
\(645\) 613.058 80.8174i 0.950477 0.125298i
\(646\) −250.640 + 23.9382i −0.387988 + 0.0370561i
\(647\) −529.179 + 1038.57i −0.817896 + 1.60521i −0.0220161 + 0.999758i \(0.507009\pi\)
−0.795880 + 0.605454i \(0.792991\pi\)
\(648\) 637.846 114.263i 0.984331 0.176332i
\(649\) 666.005i 1.02620i
\(650\) −895.630 124.586i −1.37789 0.191671i
\(651\) 616.255 388.036i 0.946629 0.596061i
\(652\) 278.291 + 80.2650i 0.426827 + 0.123106i
\(653\) 113.141 222.052i 0.173264 0.340050i −0.788002 0.615673i \(-0.788884\pi\)
0.961266 + 0.275623i \(0.0888842\pi\)
\(654\) −563.815 730.731i −0.862103 1.11733i
\(655\) −441.922 787.092i −0.674690 1.20167i
\(656\) −41.5774 103.832i −0.0633802 0.158280i
\(657\) −478.587 + 168.486i −0.728443 + 0.256448i
\(658\) 77.5497 + 300.822i 0.117857 + 0.457177i
\(659\) 531.120 + 731.024i 0.805948 + 1.10929i 0.991936 + 0.126741i \(0.0404516\pi\)
−0.185988 + 0.982552i \(0.559548\pi\)
\(660\) −551.651 + 91.5346i −0.835835 + 0.138689i
\(661\) −304.152 220.979i −0.460139 0.334310i 0.333447 0.942769i \(-0.391788\pi\)
−0.793586 + 0.608459i \(0.791788\pi\)
\(662\) −803.187 317.102i −1.21327 0.479006i
\(663\) 288.547 123.655i 0.435215 0.186509i
\(664\) 292.658 + 996.484i 0.440750 + 1.50073i
\(665\) 502.465 + 141.118i 0.755587 + 0.212208i
\(666\) −897.664 33.6962i −1.34784 0.0505949i
\(667\) −114.803 225.313i −0.172118 0.337801i
\(668\) 52.5336 19.0287i 0.0786432 0.0284860i
\(669\) 59.8639 + 236.627i 0.0894827 + 0.353703i
\(670\) −482.101 168.185i −0.719553 0.251023i
\(671\) 264.889 + 815.246i 0.394768 + 1.21497i
\(672\) −388.539 + 247.295i −0.578183 + 0.367998i
\(673\) −695.591 + 110.171i −1.03357 + 0.163701i −0.650096 0.759852i \(-0.725271\pi\)
−0.383471 + 0.923553i \(0.625271\pi\)
\(674\) −633.857 141.037i −0.940441 0.209254i
\(675\) −233.263 633.414i −0.345575 0.938391i
\(676\) −572.627 268.100i −0.847081 0.396597i
\(677\) 29.8042 4.72052i 0.0440239 0.00697270i −0.134384 0.990929i \(-0.542905\pi\)
0.178408 + 0.983957i \(0.442905\pi\)
\(678\) 263.687 + 33.9992i 0.388920 + 0.0501463i
\(679\) 12.3160 + 37.9048i 0.0181385 + 0.0558244i
\(680\) −207.450 102.621i −0.305074 0.150913i
\(681\) −44.5649 176.154i −0.0654403 0.258669i
\(682\) −506.139 795.837i −0.742139 1.16692i
\(683\) −500.803 982.882i −0.733241 1.43907i −0.892134 0.451770i \(-0.850793\pi\)
0.158894 0.987296i \(-0.449207\pi\)
\(684\) −198.681 + 757.646i −0.290469 + 1.10767i
\(685\) −386.167 488.753i −0.563748 0.713508i
\(686\) −476.320 539.222i −0.694344 0.786038i
\(687\) 850.829 364.618i 1.23847 0.530740i
\(688\) −337.961 566.424i −0.491222 0.823291i
\(689\) −754.931 548.490i −1.09569 0.796066i
\(690\) −123.869 + 197.966i −0.179520 + 0.286908i
\(691\) 361.313 + 497.304i 0.522884 + 0.719688i 0.986025 0.166596i \(-0.0532777\pi\)
−0.463141 + 0.886285i \(0.653278\pi\)
\(692\) 0.673104 + 20.1699i 0.000972694 + 0.0291472i
\(693\) −379.576 + 133.630i −0.547729 + 0.192828i
\(694\) 375.894 637.014i 0.541634 0.917887i
\(695\) 587.293 117.486i 0.845026 0.169045i
\(696\) −169.603 760.987i −0.243683 1.09337i
\(697\) 18.3627 36.0389i 0.0263454 0.0517057i
\(698\) −66.7376 + 1077.47i −0.0956127 + 1.54365i
\(699\) 655.003 412.434i 0.937057 0.590034i
\(700\) 324.340 + 353.505i 0.463343 + 0.505006i
\(701\) 301.227i 0.429711i −0.976646 0.214856i \(-0.931072\pi\)
0.976646 0.214856i \(-0.0689281\pi\)
\(702\) −51.9204 975.213i −0.0739606 1.38919i
\(703\) 492.946 967.460i 0.701203 1.37619i
\(704\) 322.537 + 501.747i 0.458149 + 0.712709i
\(705\) 209.154 + 438.307i 0.296672 + 0.621713i
\(706\) 12.8138 21.7151i 0.0181499 0.0307580i
\(707\) −428.200 428.200i −0.605657 0.605657i
\(708\) −480.870 710.012i −0.679195 1.00284i
\(709\) −116.363 160.160i −0.164123 0.225896i 0.719032 0.694977i \(-0.244585\pi\)
−0.883155 + 0.469081i \(0.844585\pi\)
\(710\) −254.806 136.808i −0.358882 0.192687i
\(711\) −593.044 1097.06i −0.834099 1.54298i
\(712\) 292.226 + 309.377i 0.410430 + 0.434519i
\(713\) −389.021 61.6149i −0.545612 0.0864164i
\(714\) −159.821 46.8774i −0.223839 0.0656546i
\(715\) 34.0052 + 842.069i 0.0475598 + 1.17772i
\(716\) 174.935 33.7231i 0.244323 0.0470993i
\(717\) −681.169 + 1142.55i −0.950026 + 1.59351i
\(718\) −46.2497 72.7216i −0.0644146 0.101284i
\(719\) −627.242 203.803i −0.872381 0.283454i −0.161591 0.986858i \(-0.551662\pi\)
−0.710790 + 0.703404i \(0.751662\pi\)
\(720\) −522.012 + 495.887i −0.725016 + 0.688732i
\(721\) −56.6677 174.405i −0.0785959 0.241893i
\(722\) −173.320 143.100i −0.240056 0.198199i
\(723\) −746.575 + 653.514i −1.03261 + 0.903893i
\(724\) −262.341 + 560.326i −0.362349 + 0.773931i
\(725\) −749.643 + 312.431i −1.03399 + 0.430939i
\(726\) −68.8914 192.905i −0.0948917 0.265709i
\(727\) 626.640 99.2500i 0.861953 0.136520i 0.290220 0.956960i \(-0.406271\pi\)
0.571733 + 0.820440i \(0.306271\pi\)
\(728\) 297.367 + 627.184i 0.408471 + 0.861517i
\(729\) 623.668 377.465i 0.855511 0.517784i
\(730\) 341.094 448.858i 0.467253 0.614873i
\(731\) 73.7091 226.853i 0.100833 0.310333i
\(732\) 871.017 + 677.857i 1.18991 + 0.926035i
\(733\) −22.5702 44.2966i −0.0307916 0.0604319i 0.875098 0.483945i \(-0.160797\pi\)
−0.905890 + 0.423513i \(0.860797\pi\)
\(734\) −511.214 1178.20i −0.696477 1.60518i
\(735\) −309.255 237.216i −0.420756 0.322743i
\(736\) 246.214 + 37.7711i 0.334529 + 0.0513194i
\(737\) −74.4423 + 470.010i −0.101007 + 0.637735i
\(738\) −85.5733 92.2484i −0.115953 0.124998i
\(739\) −210.793 153.150i −0.285240 0.207239i 0.435960 0.899966i \(-0.356409\pi\)
−0.721200 + 0.692727i \(0.756409\pi\)
\(740\) 853.530 517.402i 1.15342 0.699192i
\(741\) 1096.01 + 438.432i 1.47909 + 0.591677i
\(742\) 123.588 + 479.407i 0.166560 + 0.646101i
\(743\) 56.7435 56.7435i 0.0763708 0.0763708i −0.667890 0.744260i \(-0.732802\pi\)
0.744260 + 0.667890i \(0.232802\pi\)
\(744\) −1114.19 482.979i −1.49757 0.649165i
\(745\) −94.6491 + 102.615i −0.127046 + 0.137739i
\(746\) 948.337 90.5741i 1.27123 0.121413i
\(747\) 709.566 + 928.255i 0.949887 + 1.24264i
\(748\) −59.7768 + 207.256i −0.0799156 + 0.277080i
\(749\) 418.952 0.559349
\(750\) 603.597 + 445.164i 0.804796 + 0.593552i
\(751\) 484.309i 0.644886i 0.946589 + 0.322443i \(0.104504\pi\)
−0.946589 + 0.322443i \(0.895496\pi\)
\(752\) 341.066 389.909i 0.453546 0.518495i
\(753\) 229.204 20.8482i 0.304387 0.0276869i
\(754\) −1169.69 + 111.715i −1.55132 + 0.148164i
\(755\) −229.087 211.303i −0.303426 0.279871i
\(756\) −308.173 + 416.522i −0.407637 + 0.550955i
\(757\) 683.414 + 683.414i 0.902792 + 0.902792i 0.995677 0.0928848i \(-0.0296088\pi\)
−0.0928848 + 0.995677i \(0.529609\pi\)
\(758\) −0.272139 1.05565i −0.000359022 0.00139268i
\(759\) 202.075 + 80.8353i 0.266239 + 0.106502i
\(760\) −278.733 824.449i −0.366754 1.08480i
\(761\) −726.735 + 1000.27i −0.954974 + 1.31441i −0.00569158 + 0.999984i \(0.501812\pi\)
−0.949282 + 0.314425i \(0.898188\pi\)
\(762\) 1233.64 232.049i 1.61895 0.304527i
\(763\) 728.901 + 115.447i 0.955309 + 0.151306i
\(764\) −1031.77 + 569.833i −1.35048 + 0.745855i
\(765\) −259.265 24.0189i −0.338909 0.0313972i
\(766\) −280.547 646.581i −0.366249 0.844100i
\(767\) −1151.51 + 586.724i −1.50132 + 0.764960i
\(768\) 706.121 + 302.021i 0.919429 + 0.393257i
\(769\) −825.053 268.076i −1.07289 0.348603i −0.281278 0.959626i \(-0.590758\pi\)
−0.791613 + 0.611023i \(0.790758\pi\)
\(770\) 270.528 355.998i 0.351336 0.462334i
\(771\) 490.968 589.222i 0.636794 0.764230i
\(772\) 115.368 89.8486i 0.149441 0.116384i
\(773\) −55.9143 353.029i −0.0723342 0.456700i −0.997096 0.0761539i \(-0.975736\pi\)
0.924762 0.380546i \(-0.124264\pi\)
\(774\) −583.535 458.369i −0.753921 0.592207i
\(775\) −292.616 + 1230.66i −0.377569 + 1.58795i
\(776\) 40.5806 52.6323i 0.0522946 0.0678251i
\(777\) 540.456 473.089i 0.695568 0.608866i
\(778\) −25.7499 21.2601i −0.0330975 0.0273265i
\(779\) 144.649 46.9992i 0.185685 0.0603327i
\(780\) 644.244 + 873.156i 0.825954 + 1.11943i
\(781\) −83.2928 + 256.349i −0.106649 + 0.328232i
\(782\) 48.3414 + 76.0105i 0.0618177 + 0.0972001i
\(783\) −485.285 730.637i −0.619776 0.933125i
\(784\) −101.825 + 403.078i −0.129878 + 0.514130i
\(785\) −277.988 + 11.2260i −0.354125 + 0.0143006i
\(786\) −304.872 + 1039.41i −0.387878 + 1.32241i
\(787\) 157.012 991.332i 0.199507 1.25963i −0.661074 0.750321i \(-0.729899\pi\)
0.860581 0.509314i \(-0.170101\pi\)
\(788\) 730.798 + 494.577i 0.927409 + 0.627635i
\(789\) −68.5920 + 1031.96i −0.0869353 + 1.30794i
\(790\) 1220.82 + 655.473i 1.54535 + 0.829712i
\(791\) −171.986 + 124.955i −0.217429 + 0.157971i
\(792\) 541.231 + 396.678i 0.683372 + 0.500856i
\(793\) 1176.19 1176.19i 1.48321 1.48321i
\(794\) −155.407 + 263.363i −0.195727 + 0.331691i
\(795\) 333.320 + 698.511i 0.419270 + 0.878630i
\(796\) −966.726 120.218i −1.21448 0.151027i
\(797\) 432.189 + 220.211i 0.542270 + 0.276300i 0.703595 0.710601i \(-0.251577\pi\)
−0.161326 + 0.986901i \(0.551577\pi\)
\(798\) −300.307 549.592i −0.376324 0.688712i
\(799\) 187.336 0.234464
\(800\) 181.275 779.192i 0.226593 0.973989i
\(801\) 431.748 + 206.909i 0.539012 + 0.258314i
\(802\) 84.9642 1371.74i 0.105940 1.71039i
\(803\) −468.146 238.532i −0.582997 0.297052i
\(804\) 259.997 + 554.815i 0.323379 + 0.690069i
\(805\) −36.6279 183.096i −0.0455004 0.227449i
\(806\) −930.099 + 1576.21i −1.15397 + 1.95559i
\(807\) −209.082 + 920.076i −0.259085 + 1.14012i
\(808\) −186.325 + 992.459i −0.230600 + 1.22829i
\(809\) 853.395 620.028i 1.05488 0.766413i 0.0817429 0.996653i \(-0.473951\pi\)
0.973134 + 0.230241i \(0.0739514\pi\)
\(810\) −347.982 + 731.443i −0.429607 + 0.903016i
\(811\) 86.3793 118.891i 0.106510 0.146598i −0.752435 0.658667i \(-0.771121\pi\)
0.858944 + 0.512069i \(0.171121\pi\)
\(812\) 516.286 + 349.403i 0.635820 + 0.430299i
\(813\) −32.3923 + 13.8816i −0.0398430 + 0.0170745i
\(814\) −615.847 697.174i −0.756568 0.856479i
\(815\) −284.075 + 224.449i −0.348558 + 0.275398i
\(816\) 85.9166 + 264.110i 0.105290 + 0.323665i
\(817\) 799.167 407.196i 0.978173 0.498404i
\(818\) −628.526 988.274i −0.768369 1.20816i
\(819\) 565.435 + 538.558i 0.690397 + 0.657580i
\(820\) 135.787 + 33.2924i 0.165593 + 0.0406005i
\(821\) −947.239 + 307.776i −1.15376 + 0.374880i −0.822559 0.568680i \(-0.807454\pi\)
−0.331203 + 0.943560i \(0.607454\pi\)
\(822\) −95.5869 + 741.344i −0.116286 + 0.901878i
\(823\) −148.344 936.604i −0.180247 1.13804i −0.897432 0.441153i \(-0.854569\pi\)
0.717184 0.696883i \(-0.245431\pi\)
\(824\) −186.717 + 242.168i −0.226598 + 0.293894i
\(825\) 308.365 627.297i 0.373775 0.760360i
\(826\) 669.299 + 148.923i 0.810290 + 0.180295i
\(827\) 96.5171 + 609.385i 0.116707 + 0.736862i 0.974753 + 0.223288i \(0.0716789\pi\)
−0.858045 + 0.513574i \(0.828321\pi\)
\(828\) 273.792 59.7260i 0.330667 0.0721329i
\(829\) 201.151 65.3580i 0.242643 0.0788396i −0.185171 0.982706i \(-0.559284\pi\)
0.427814 + 0.903867i \(0.359284\pi\)
\(830\) −1225.77 427.620i −1.47683 0.515205i
\(831\) 165.838 + 655.517i 0.199565 + 0.788829i
\(832\) 583.369 999.680i 0.701165 1.20154i
\(833\) −133.959 + 68.2553i −0.160815 + 0.0819391i
\(834\) −593.397 405.502i −0.711507 0.486213i
\(835\) −18.8846 + 67.2406i −0.0226163 + 0.0805276i
\(836\) −710.015 + 392.133i −0.849300 + 0.469058i
\(837\) −1364.96 57.4027i −1.63078 0.0685815i
\(838\) −467.245 184.470i −0.557571 0.220131i
\(839\) 799.652 1100.63i 0.953102 1.31183i 0.00296612 0.999996i \(-0.499056\pi\)
0.950136 0.311837i \(-0.100944\pi\)
\(840\) 31.3657 574.848i 0.0373402 0.684342i
\(841\) −173.392 + 125.977i −0.206174 + 0.149794i
\(842\) 219.502 + 851.469i 0.260691 + 1.01125i
\(843\) 198.985 + 45.2183i 0.236044 + 0.0536397i
\(844\) 475.358 508.181i 0.563221 0.602110i
\(845\) 689.156 386.935i 0.815570 0.457911i
\(846\) 200.754 547.115i 0.237298 0.646708i
\(847\) 145.934 + 74.3569i 0.172295 + 0.0877886i
\(848\) 543.542 621.380i 0.640970 0.732759i
\(849\) 13.5436 8.52794i 0.0159524 0.0100447i
\(850\) 255.250 136.181i 0.300295 0.160212i
\(851\) −388.473 −0.456490
\(852\) 96.2931 + 333.426i 0.113020 + 0.391346i
\(853\) −561.206 285.949i −0.657920 0.335227i 0.0929557 0.995670i \(-0.470369\pi\)
−0.750876 + 0.660443i \(0.770369\pi\)
\(854\) −878.509 + 83.9050i −1.02870 + 0.0982494i
\(855\) −625.497 753.225i −0.731576 0.880965i
\(856\) −394.362 576.663i −0.460704 0.673672i
\(857\) −28.1596 + 28.1596i −0.0328583 + 0.0328583i −0.723345 0.690487i \(-0.757396\pi\)
0.690487 + 0.723345i \(0.257396\pi\)
\(858\) 694.176 735.432i 0.809063 0.857147i
\(859\) 405.827 294.850i 0.472441 0.343249i −0.325951 0.945387i \(-0.605684\pi\)
0.798392 + 0.602138i \(0.205684\pi\)
\(860\) 821.620 + 68.6487i 0.955372 + 0.0798240i
\(861\) 100.389 + 6.67256i 0.116595 + 0.00774978i
\(862\) −525.262 + 1330.43i −0.609352 + 1.54343i
\(863\) 104.392 659.107i 0.120965 0.763740i −0.850398 0.526139i \(-0.823639\pi\)
0.971363 0.237601i \(-0.0763609\pi\)
\(864\) 863.403 + 32.1085i 0.999309 + 0.0371626i
\(865\) −20.9903 13.9921i −0.0242662 0.0161759i
\(866\) 196.123 + 452.007i 0.226470 + 0.521948i
\(867\) 392.544 658.428i 0.452761 0.759432i
\(868\) 912.949 330.688i 1.05179 0.380977i
\(869\) 399.071 1228.21i 0.459230 1.41337i
\(870\) 896.869 + 381.336i 1.03088 + 0.438318i
\(871\) 878.220 285.351i 1.00829 0.327613i
\(872\) −527.213 1111.96i −0.604603 1.27518i
\(873\) 21.3670 71.6495i 0.0244754 0.0820727i
\(874\) −73.5695 + 330.640i −0.0841757 + 0.378307i
\(875\) −595.300 + 72.4350i −0.680342 + 0.0827829i
\(876\) −671.305 + 83.7182i −0.766330 + 0.0955688i
\(877\) 247.590 + 1563.22i 0.282314 + 1.78246i 0.566873 + 0.823805i \(0.308153\pi\)
−0.284559 + 0.958659i \(0.591847\pi\)
\(878\) 804.185 + 663.965i 0.915929 + 0.756224i
\(879\) −376.529 313.742i −0.428360 0.356931i
\(880\) −744.660 37.2640i −0.846204 0.0423454i
\(881\) 931.388 + 302.626i 1.05719 + 0.343503i 0.785488 0.618877i \(-0.212412\pi\)
0.271706 + 0.962380i \(0.412412\pi\)
\(882\) 55.7858 + 464.369i 0.0632493 + 0.526496i
\(883\) 591.364 301.315i 0.669722 0.341240i −0.0858484 0.996308i \(-0.527360\pi\)
0.755570 + 0.655068i \(0.227360\pi\)
\(884\) 411.002 79.2310i 0.464935 0.0896279i
\(885\) 1071.55 + 27.8759i 1.21079 + 0.0314982i
\(886\) 529.884 468.072i 0.598064 0.528298i
\(887\) 1334.75 + 211.404i 1.50479 + 0.238335i 0.853740 0.520699i \(-0.174329\pi\)
0.651050 + 0.759034i \(0.274329\pi\)
\(888\) −1159.91 298.585i −1.30621 0.336245i
\(889\) −589.959 + 812.009i −0.663621 + 0.913396i
\(890\) −527.082 + 71.9031i −0.592227 + 0.0807900i
\(891\) 728.465 + 198.067i 0.817581 + 0.222298i
\(892\) 10.8545 + 325.262i 0.0121688 + 0.364643i
\(893\) 498.110 + 498.110i 0.557794 + 0.557794i
\(894\) 167.451 4.83226i 0.187305 0.00540521i
\(895\) −93.0127 + 202.340i −0.103925 + 0.226079i
\(896\) −576.350 + 211.938i −0.643248 + 0.236538i
\(897\) −38.2573 420.597i −0.0426502 0.468893i
\(898\) −1272.07 78.7910i −1.41656 0.0877405i
\(899\) 1643.74i 1.82841i
\(900\) −124.182 891.392i −0.137980 0.990435i
\(901\) 298.550 0.331354
\(902\) 8.05523 130.051i 0.00893041 0.144180i
\(903\) 590.882 53.7463i 0.654354 0.0595197i
\(904\) 333.885 + 119.108i 0.369342 + 0.131756i
\(905\) −378.623 674.352i −0.418367 0.745141i
\(906\) 10.7879 + 373.832i 0.0119072 + 0.412618i
\(907\) −1163.60 + 1163.60i −1.28291 + 1.28291i −0.343899 + 0.939007i \(0.611748\pi\)
−0.939007 + 0.343899i \(0.888252\pi\)
\(908\) −8.08051 242.136i −0.00889924 0.266670i
\(909\) 204.968 + 1117.38i 0.225488 + 1.22924i
\(910\) −853.838 154.119i −0.938283 0.169362i
\(911\) −807.046 586.353i −0.885890 0.643637i 0.0489131 0.998803i \(-0.484424\pi\)
−0.934803 + 0.355166i \(0.884424\pi\)
\(912\) −473.801 + 930.689i −0.519518 + 1.02049i
\(913\) −189.273 + 1195.03i −0.207309 + 1.30890i
\(914\) 800.906 + 906.672i 0.876265 + 0.991982i
\(915\) −1322.75 + 392.062i −1.44563 + 0.428484i
\(916\) 1211.91 233.626i 1.32304 0.255050i
\(917\) −393.207 771.713i −0.428798 0.841563i
\(918\) 196.833 + 242.656i 0.214415 + 0.264331i
\(919\) −3.58252 + 11.0259i −0.00389828 + 0.0119977i −0.952987 0.303012i \(-0.902008\pi\)
0.949088 + 0.315010i \(0.102008\pi\)
\(920\) −217.543 + 222.766i −0.236460 + 0.242137i
\(921\) 140.306 168.385i 0.152341 0.182828i
\(922\) −542.007 + 656.472i −0.587860 + 0.712008i
\(923\) 516.600 81.8214i 0.559697 0.0886473i
\(924\) −532.425 + 66.3985i −0.576217 + 0.0718599i
\(925\) −95.1737 + 1244.00i −0.102891 + 1.34486i
\(926\) −1316.30 292.884i −1.42148 0.316290i
\(927\) −98.3125 + 329.669i −0.106054 + 0.355630i
\(928\) −5.05070 1039.53i −0.00544256 1.12019i
\(929\) 354.613 + 1091.39i 0.381715 + 1.17480i 0.938835 + 0.344366i \(0.111906\pi\)
−0.557120 + 0.830432i \(0.688094\pi\)
\(930\) 1301.62 781.025i 1.39959 0.839812i
\(931\) −537.668 174.699i −0.577516 0.187646i
\(932\) 970.352 351.480i 1.04115 0.377124i
\(933\) −1163.92 693.913i −1.24751 0.743744i
\(934\) 1001.45 434.524i 1.07222 0.465229i
\(935\) −167.157 211.563i −0.178778 0.226270i
\(936\) 209.047 1285.24i 0.223340 1.37312i
\(937\) 381.254 + 60.3848i 0.406888 + 0.0644448i 0.356524 0.934286i \(-0.383962\pi\)
0.0503643 + 0.998731i \(0.483962\pi\)
\(938\) −455.689 179.908i −0.485810 0.191800i
\(939\) 57.2075 860.685i 0.0609239 0.916598i
\(940\) 148.128 + 630.367i 0.157583 + 0.670603i
\(941\) −567.507 781.107i −0.603089 0.830081i 0.392897 0.919582i \(-0.371473\pi\)
−0.995987 + 0.0895009i \(0.971473\pi\)
\(942\) 242.785 + 229.165i 0.257733 + 0.243275i
\(943\) −38.4770 38.4770i −0.0408028 0.0408028i
\(944\) −425.031 1061.43i −0.450245 1.12440i
\(945\) −199.111 616.300i −0.210700 0.652169i
\(946\) −73.0570 764.928i −0.0772273 0.808592i
\(947\) −261.482 + 513.187i −0.276116 + 0.541909i −0.986867 0.161535i \(-0.948355\pi\)
0.710751 + 0.703444i \(0.248355\pi\)
\(948\) −461.358 1597.51i −0.486664 1.68513i
\(949\) 1019.55i 1.07435i
\(950\) 1040.78 + 316.595i 1.09556 + 0.333258i
\(951\) 779.124 + 1237.36i 0.819268 + 1.30111i
\(952\) −194.914 106.416i −0.204742 0.111782i
\(953\) −145.163 + 284.899i −0.152323 + 0.298950i −0.954540 0.298082i \(-0.903653\pi\)
0.802218 + 0.597031i \(0.203653\pi\)
\(954\) 319.933 871.912i 0.335360 0.913954i
\(955\) 171.575 1463.31i 0.179660 1.53226i
\(956\) −1211.59 + 1295.25i −1.26735 + 1.35486i
\(957\) 201.273 885.710i 0.210316 0.925507i
\(958\) 295.673 76.2222i 0.308635 0.0795639i
\(959\) −351.305 483.530i −0.366324 0.504202i
\(960\) −820.769 + 497.934i −0.854967 + 0.518682i
\(961\) 1293.81 + 940.007i 1.34632 + 0.978155i
\(962\) −662.865 + 1678.97i −0.689049 + 1.74529i
\(963\) −646.895 446.353i −0.671750 0.463503i
\(964\) −1158.05 + 639.578i −1.20130 + 0.663462i
\(965\) 7.37539 + 182.636i 0.00764289 + 0.189260i
\(966\) −126.421 + 184.999i −0.130870 + 0.191511i
\(967\) 201.510 + 395.485i 0.208386 + 0.408981i 0.971416 0.237382i \(-0.0762892\pi\)
−0.763030 + 0.646363i \(0.776289\pi\)
\(968\) −35.0203 270.862i −0.0361780 0.279816i
\(969\) −366.136 + 92.6282i −0.377849 + 0.0955915i
\(970\) 23.9672 + 79.5427i 0.0247084 + 0.0820028i
\(971\) −384.779 1184.23i −0.396271 1.21960i −0.927967 0.372662i \(-0.878445\pi\)
0.531696 0.846935i \(-0.321555\pi\)
\(972\) 919.607 314.813i 0.946098 0.323881i
\(973\) 567.600 89.8990i 0.583351 0.0923937i
\(974\) 139.299 626.045i 0.143018 0.642757i
\(975\) −1356.24 + 19.4665i −1.39102 + 0.0199656i
\(976\) 942.436 + 1130.24i 0.965611 + 1.15803i
\(977\) 1641.48 259.985i 1.68012 0.266105i 0.757789 0.652499i \(-0.226279\pi\)
0.922334 + 0.386394i \(0.126279\pi\)
\(978\) 430.886 + 55.5573i 0.440579 + 0.0568071i
\(979\) 153.206 + 471.519i 0.156492 + 0.481633i
\(980\) −335.594 396.786i −0.342443 0.404884i
\(981\) −1002.48 954.832i −1.02190 0.973325i
\(982\) 1194.79 759.865i 1.21669 0.773793i
\(983\) 158.625 + 311.319i 0.161368 + 0.316703i 0.957506 0.288412i \(-0.0931272\pi\)
−0.796138 + 0.605115i \(0.793127\pi\)
\(984\) −85.3119 144.460i −0.0866991 0.146809i
\(985\) −1034.44 + 382.906i −1.05019 + 0.388738i
\(986\) 281.750 248.883i 0.285750 0.252417i
\(987\) 183.551 + 428.313i 0.185969 + 0.433954i
\(988\) 1303.48 + 882.149i 1.31932 + 0.892863i
\(989\) −259.611 188.618i −0.262498 0.190716i
\(990\) −796.998 + 261.466i −0.805048 + 0.264107i
\(991\) 940.498 + 1294.48i 0.949040 + 1.30624i 0.951953 + 0.306245i \(0.0990727\pi\)
−0.00291305 + 0.999996i \(0.500927\pi\)
\(992\) −1314.54 945.343i −1.32514 0.952967i
\(993\) −1263.08 287.026i −1.27198 0.289050i
\(994\) −238.992 141.026i −0.240435 0.141877i
\(995\) 825.610 895.097i 0.829758 0.899595i
\(996\) 661.055 + 1410.65i 0.663710 + 1.41631i
\(997\) 59.7190 117.205i 0.0598987 0.117558i −0.859116 0.511780i \(-0.828986\pi\)
0.919015 + 0.394223i \(0.128986\pi\)
\(998\) 866.731 + 53.6846i 0.868468 + 0.0537922i
\(999\) −1338.54 + 154.682i −1.33988 + 0.154836i
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 300.3.u.a.287.114 yes 928
3.2 odd 2 inner 300.3.u.a.287.3 yes 928
4.3 odd 2 inner 300.3.u.a.287.103 yes 928
12.11 even 2 inner 300.3.u.a.287.14 yes 928
25.23 odd 20 inner 300.3.u.a.23.14 yes 928
75.23 even 20 inner 300.3.u.a.23.103 yes 928
100.23 even 20 inner 300.3.u.a.23.3 928
300.23 odd 20 inner 300.3.u.a.23.114 yes 928
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.3.u.a.23.3 928 100.23 even 20 inner
300.3.u.a.23.14 yes 928 25.23 odd 20 inner
300.3.u.a.23.103 yes 928 75.23 even 20 inner
300.3.u.a.23.114 yes 928 300.23 odd 20 inner
300.3.u.a.287.3 yes 928 3.2 odd 2 inner
300.3.u.a.287.14 yes 928 12.11 even 2 inner
300.3.u.a.287.103 yes 928 4.3 odd 2 inner
300.3.u.a.287.114 yes 928 1.1 even 1 trivial