Properties

Label 80.2.s.b.3.3
Level $80$
Weight $2$
Character 80.3
Analytic conductor $0.639$
Analytic rank $0$
Dimension $18$
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] = [80,2,Mod(3,80)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(80, base_ring=CyclotomicField(4))
 
chi = DirichletCharacter(H, H._module([2, 3, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("80.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 80.s (of order \(4\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.638803216170\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(9\) over \(\Q(i)\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + 74 x^{8} + 24 x^{7} - 80 x^{6} - 224 x^{5} - 160 x^{4} - 256 x^{3} + 256 x^{2} + 512 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{6} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 3.3
Root \(-1.37691 - 0.322680i\) of defining polynomial
Character \(\chi\) \(=\) 80.3
Dual form 80.2.s.b.27.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.23576 - 0.687667i) q^{2} +0.614566 q^{3} +(1.05423 + 1.69959i) q^{4} +(0.832020 + 2.07551i) q^{5} +(-0.759459 - 0.422617i) q^{6} +(2.83610 - 2.83610i) q^{7} +(-0.134028 - 2.82525i) q^{8} -2.62231 q^{9} +O(q^{10})\) \(q+(-1.23576 - 0.687667i) q^{2} +0.614566 q^{3} +(1.05423 + 1.69959i) q^{4} +(0.832020 + 2.07551i) q^{5} +(-0.759459 - 0.422617i) q^{6} +(2.83610 - 2.83610i) q^{7} +(-0.134028 - 2.82525i) q^{8} -2.62231 q^{9} +(0.399079 - 3.13699i) q^{10} +(1.95928 + 1.95928i) q^{11} +(0.647893 + 1.04451i) q^{12} -2.05493i q^{13} +(-5.45504 + 1.55446i) q^{14} +(0.511331 + 1.27554i) q^{15} +(-1.77720 + 3.58351i) q^{16} +(-4.06774 + 4.06774i) q^{17} +(3.24056 + 1.80327i) q^{18} +(-0.683479 - 0.683479i) q^{19} +(-2.65037 + 3.60215i) q^{20} +(1.74297 - 1.74297i) q^{21} +(-1.07388 - 3.76854i) q^{22} +(-4.95014 - 4.95014i) q^{23} +(-0.0823693 - 1.73630i) q^{24} +(-3.61549 + 3.45373i) q^{25} +(-1.41310 + 2.53941i) q^{26} -3.45528 q^{27} +(7.81010 + 1.83030i) q^{28} +(0.835439 - 0.835439i) q^{29} +(0.245260 - 1.92789i) q^{30} -2.35978i q^{31} +(4.66047 - 3.20625i) q^{32} +(1.20411 + 1.20411i) q^{33} +(7.82401 - 2.22952i) q^{34} +(8.24604 + 3.52666i) q^{35} +(-2.76451 - 4.45685i) q^{36} +4.54384i q^{37} +(0.374613 + 1.31462i) q^{38} -1.26289i q^{39} +(5.75232 - 2.62884i) q^{40} -5.07255i q^{41} +(-3.35248 + 0.955318i) q^{42} -0.849753i q^{43} +(-1.26444 + 5.39549i) q^{44} +(-2.18181 - 5.44263i) q^{45} +(2.71316 + 9.52126i) q^{46} +(-2.72646 - 2.72646i) q^{47} +(-1.09221 + 2.20230i) q^{48} -9.08690i q^{49} +(6.84291 - 1.78175i) q^{50} +(-2.49989 + 2.49989i) q^{51} +(3.49253 - 2.16636i) q^{52} +5.17605 q^{53} +(4.26991 + 2.37608i) q^{54} +(-2.43634 + 5.69666i) q^{55} +(-8.39280 - 7.63257i) q^{56} +(-0.420043 - 0.420043i) q^{57} +(-1.60691 + 0.457903i) q^{58} +(-4.16328 + 4.16328i) q^{59} +(-1.62883 + 2.21376i) q^{60} +(5.55706 + 5.55706i) q^{61} +(-1.62274 + 2.91613i) q^{62} +(-7.43712 + 7.43712i) q^{63} +(-7.96407 + 0.757328i) q^{64} +(4.26502 - 1.70974i) q^{65} +(-0.659968 - 2.31602i) q^{66} +1.73609i q^{67} +(-11.2018 - 2.62515i) q^{68} +(-3.04219 - 3.04219i) q^{69} +(-7.76500 - 10.0287i) q^{70} +2.33526 q^{71} +(0.351464 + 7.40868i) q^{72} +(-4.39686 + 4.39686i) q^{73} +(3.12465 - 5.61511i) q^{74} +(-2.22195 + 2.12255i) q^{75} +(0.441090 - 1.88218i) q^{76} +11.1134 q^{77} +(-0.868446 + 1.56063i) q^{78} +14.0993 q^{79} +(-8.91628 - 0.707050i) q^{80} +5.74343 q^{81} +(-3.48822 + 6.26848i) q^{82} -2.75725 q^{83} +(4.79982 + 1.12484i) q^{84} +(-11.8271 - 5.05819i) q^{85} +(-0.584347 + 1.05009i) q^{86} +(0.513433 - 0.513433i) q^{87} +(5.27285 - 5.79805i) q^{88} +11.6448 q^{89} +(-1.04651 + 8.22617i) q^{90} +(-5.82797 - 5.82797i) q^{91} +(3.19462 - 13.6318i) q^{92} -1.45024i q^{93} +(1.49437 + 5.24417i) q^{94} +(0.849899 - 1.98724i) q^{95} +(2.86416 - 1.97045i) q^{96} +(-3.52933 + 3.52933i) q^{97} +(-6.24876 + 11.2293i) q^{98} +(-5.13783 - 5.13783i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q + 4 q^{4} + 2 q^{5} - 8 q^{6} + 2 q^{7} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q + 4 q^{4} + 2 q^{5} - 8 q^{6} + 2 q^{7} - 12 q^{8} + 10 q^{9} - 2 q^{11} - 12 q^{14} - 20 q^{15} - 6 q^{17} - 24 q^{18} - 2 q^{19} - 12 q^{20} - 16 q^{21} + 12 q^{22} - 2 q^{23} - 4 q^{24} - 6 q^{25} - 16 q^{26} - 24 q^{27} + 40 q^{28} + 14 q^{29} + 40 q^{30} + 20 q^{32} - 8 q^{33} + 28 q^{34} + 2 q^{35} - 4 q^{36} + 24 q^{38} + 44 q^{40} + 8 q^{42} - 44 q^{44} - 14 q^{45} + 12 q^{46} + 38 q^{47} + 4 q^{48} - 8 q^{50} + 8 q^{51} + 8 q^{52} + 12 q^{53} + 4 q^{54} - 6 q^{55} + 20 q^{56} - 24 q^{57} + 20 q^{58} + 10 q^{59} + 8 q^{60} + 14 q^{61} - 40 q^{62} - 6 q^{63} + 16 q^{64} + 4 q^{66} - 60 q^{68} - 32 q^{69} - 28 q^{70} + 24 q^{71} - 68 q^{72} - 14 q^{73} - 48 q^{74} + 16 q^{75} - 16 q^{76} - 44 q^{77} - 36 q^{78} - 16 q^{79} - 92 q^{80} + 2 q^{81} + 48 q^{82} + 40 q^{83} + 24 q^{84} + 14 q^{85} - 36 q^{86} + 24 q^{87} - 8 q^{88} + 12 q^{89} - 8 q^{90} - 8 q^{92} - 28 q^{94} + 34 q^{95} - 40 q^{96} + 18 q^{97} - 56 q^{98} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{3}{4}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23576 0.687667i −0.873818 0.486254i
\(3\) 0.614566 0.354820 0.177410 0.984137i \(-0.443228\pi\)
0.177410 + 0.984137i \(0.443228\pi\)
\(4\) 1.05423 + 1.69959i 0.527114 + 0.849794i
\(5\) 0.832020 + 2.07551i 0.372091 + 0.928196i
\(6\) −0.759459 0.422617i −0.310048 0.172533i
\(7\) 2.83610 2.83610i 1.07194 1.07194i 0.0747413 0.997203i \(-0.476187\pi\)
0.997203 0.0747413i \(-0.0238131\pi\)
\(8\) −0.134028 2.82525i −0.0473862 0.998877i
\(9\) −2.62231 −0.874103
\(10\) 0.399079 3.13699i 0.126200 0.992005i
\(11\) 1.95928 + 1.95928i 0.590745 + 0.590745i 0.937833 0.347088i \(-0.112829\pi\)
−0.347088 + 0.937833i \(0.612829\pi\)
\(12\) 0.647893 + 1.04451i 0.187031 + 0.301524i
\(13\) 2.05493i 0.569934i −0.958537 0.284967i \(-0.908017\pi\)
0.958537 0.284967i \(-0.0919826\pi\)
\(14\) −5.45504 + 1.55446i −1.45792 + 0.415447i
\(15\) 0.511331 + 1.27554i 0.132025 + 0.329343i
\(16\) −1.77720 + 3.58351i −0.444301 + 0.895878i
\(17\) −4.06774 + 4.06774i −0.986571 + 0.986571i −0.999911 0.0133401i \(-0.995754\pi\)
0.0133401 + 0.999911i \(0.495754\pi\)
\(18\) 3.24056 + 1.80327i 0.763806 + 0.425036i
\(19\) −0.683479 0.683479i −0.156801 0.156801i 0.624347 0.781147i \(-0.285365\pi\)
−0.781147 + 0.624347i \(0.785365\pi\)
\(20\) −2.65037 + 3.60215i −0.592642 + 0.805466i
\(21\) 1.74297 1.74297i 0.380347 0.380347i
\(22\) −1.07388 3.76854i −0.228951 0.803455i
\(23\) −4.95014 4.95014i −1.03218 1.03218i −0.999465 0.0327113i \(-0.989586\pi\)
−0.0327113 0.999465i \(-0.510414\pi\)
\(24\) −0.0823693 1.73630i −0.0168136 0.354421i
\(25\) −3.61549 + 3.45373i −0.723097 + 0.690746i
\(26\) −1.41310 + 2.53941i −0.277133 + 0.498018i
\(27\) −3.45528 −0.664969
\(28\) 7.81010 + 1.83030i 1.47597 + 0.345895i
\(29\) 0.835439 0.835439i 0.155137 0.155137i −0.625271 0.780408i \(-0.715011\pi\)
0.780408 + 0.625271i \(0.215011\pi\)
\(30\) 0.245260 1.92789i 0.0447782 0.351983i
\(31\) 2.35978i 0.423829i −0.977288 0.211915i \(-0.932030\pi\)
0.977288 0.211915i \(-0.0679698\pi\)
\(32\) 4.66047 3.20625i 0.823862 0.566791i
\(33\) 1.20411 + 1.20411i 0.209608 + 0.209608i
\(34\) 7.82401 2.22952i 1.34181 0.382359i
\(35\) 8.24604 + 3.52666i 1.39384 + 0.596114i
\(36\) −2.76451 4.45685i −0.460752 0.742808i
\(37\) 4.54384i 0.747002i 0.927630 + 0.373501i \(0.121843\pi\)
−0.927630 + 0.373501i \(0.878157\pi\)
\(38\) 0.374613 + 1.31462i 0.0607703 + 0.213260i
\(39\) 1.26289i 0.202224i
\(40\) 5.75232 2.62884i 0.909522 0.415656i
\(41\) 5.07255i 0.792199i −0.918208 0.396100i \(-0.870364\pi\)
0.918208 0.396100i \(-0.129636\pi\)
\(42\) −3.35248 + 0.955318i −0.517299 + 0.147409i
\(43\) 0.849753i 0.129586i −0.997899 0.0647930i \(-0.979361\pi\)
0.997899 0.0647930i \(-0.0206387\pi\)
\(44\) −1.26444 + 5.39549i −0.190621 + 0.813401i
\(45\) −2.18181 5.44263i −0.325245 0.811339i
\(46\) 2.71316 + 9.52126i 0.400034 + 1.40383i
\(47\) −2.72646 2.72646i −0.397696 0.397696i 0.479724 0.877419i \(-0.340737\pi\)
−0.877419 + 0.479724i \(0.840737\pi\)
\(48\) −1.09221 + 2.20230i −0.157647 + 0.317875i
\(49\) 9.08690i 1.29813i
\(50\) 6.84291 1.78175i 0.967733 0.251978i
\(51\) −2.49989 + 2.49989i −0.350055 + 0.350055i
\(52\) 3.49253 2.16636i 0.484327 0.300420i
\(53\) 5.17605 0.710985 0.355492 0.934679i \(-0.384313\pi\)
0.355492 + 0.934679i \(0.384313\pi\)
\(54\) 4.26991 + 2.37608i 0.581062 + 0.323344i
\(55\) −2.43634 + 5.69666i −0.328517 + 0.768138i
\(56\) −8.39280 7.63257i −1.12154 1.01994i
\(57\) −0.420043 0.420043i −0.0556360 0.0556360i
\(58\) −1.60691 + 0.457903i −0.210998 + 0.0601256i
\(59\) −4.16328 + 4.16328i −0.542013 + 0.542013i −0.924119 0.382105i \(-0.875199\pi\)
0.382105 + 0.924119i \(0.375199\pi\)
\(60\) −1.62883 + 2.21376i −0.210281 + 0.285795i
\(61\) 5.55706 + 5.55706i 0.711509 + 0.711509i 0.966851 0.255342i \(-0.0821880\pi\)
−0.255342 + 0.966851i \(0.582188\pi\)
\(62\) −1.62274 + 2.91613i −0.206088 + 0.370349i
\(63\) −7.43712 + 7.43712i −0.936990 + 0.936990i
\(64\) −7.96407 + 0.757328i −0.995509 + 0.0946660i
\(65\) 4.26502 1.70974i 0.529011 0.212067i
\(66\) −0.659968 2.31602i −0.0812364 0.285082i
\(67\) 1.73609i 0.212097i 0.994361 + 0.106048i \(0.0338198\pi\)
−0.994361 + 0.106048i \(0.966180\pi\)
\(68\) −11.2018 2.62515i −1.35842 0.318347i
\(69\) −3.04219 3.04219i −0.366237 0.366237i
\(70\) −7.76500 10.0287i −0.928095 1.19865i
\(71\) 2.33526 0.277144 0.138572 0.990352i \(-0.455749\pi\)
0.138572 + 0.990352i \(0.455749\pi\)
\(72\) 0.351464 + 7.40868i 0.0414204 + 0.873121i
\(73\) −4.39686 + 4.39686i −0.514613 + 0.514613i −0.915936 0.401323i \(-0.868550\pi\)
0.401323 + 0.915936i \(0.368550\pi\)
\(74\) 3.12465 5.61511i 0.363233 0.652744i
\(75\) −2.22195 + 2.12255i −0.256569 + 0.245091i
\(76\) 0.441090 1.88218i 0.0505964 0.215900i
\(77\) 11.1134 1.26649
\(78\) −0.868446 + 1.56063i −0.0983321 + 0.176707i
\(79\) 14.0993 1.58629 0.793146 0.609032i \(-0.208442\pi\)
0.793146 + 0.609032i \(0.208442\pi\)
\(80\) −8.91628 0.707050i −0.996871 0.0790506i
\(81\) 5.74343 0.638159
\(82\) −3.48822 + 6.26848i −0.385210 + 0.692238i
\(83\) −2.75725 −0.302648 −0.151324 0.988484i \(-0.548354\pi\)
−0.151324 + 0.988484i \(0.548354\pi\)
\(84\) 4.79982 + 1.12484i 0.523703 + 0.122730i
\(85\) −11.8271 5.05819i −1.28283 0.548638i
\(86\) −0.584347 + 1.05009i −0.0630117 + 0.113235i
\(87\) 0.513433 0.513433i 0.0550458 0.0550458i
\(88\) 5.27285 5.79805i 0.562088 0.618074i
\(89\) 11.6448 1.23435 0.617173 0.786828i \(-0.288278\pi\)
0.617173 + 0.786828i \(0.288278\pi\)
\(90\) −1.04651 + 8.22617i −0.110312 + 0.867114i
\(91\) −5.82797 5.82797i −0.610937 0.610937i
\(92\) 3.19462 13.6318i 0.333062 1.42121i
\(93\) 1.45024i 0.150383i
\(94\) 1.49437 + 5.24417i 0.154132 + 0.540894i
\(95\) 0.849899 1.98724i 0.0871978 0.203886i
\(96\) 2.86416 1.97045i 0.292322 0.201109i
\(97\) −3.52933 + 3.52933i −0.358349 + 0.358349i −0.863204 0.504855i \(-0.831546\pi\)
0.504855 + 0.863204i \(0.331546\pi\)
\(98\) −6.24876 + 11.2293i −0.631220 + 1.13433i
\(99\) −5.13783 5.13783i −0.516372 0.516372i
\(100\) −9.68147 2.50381i −0.968147 0.250381i
\(101\) 7.39467 7.39467i 0.735797 0.735797i −0.235964 0.971762i \(-0.575825\pi\)
0.971762 + 0.235964i \(0.0758249\pi\)
\(102\) 4.80837 1.37019i 0.476100 0.135669i
\(103\) 3.72605 + 3.72605i 0.367139 + 0.367139i 0.866433 0.499294i \(-0.166407\pi\)
−0.499294 + 0.866433i \(0.666407\pi\)
\(104\) −5.80568 + 0.275419i −0.569294 + 0.0270070i
\(105\) 5.06774 + 2.16737i 0.494560 + 0.211513i
\(106\) −6.39637 3.55939i −0.621271 0.345719i
\(107\) 16.4605 1.59130 0.795649 0.605758i \(-0.207130\pi\)
0.795649 + 0.605758i \(0.207130\pi\)
\(108\) −3.64266 5.87255i −0.350515 0.565087i
\(109\) −12.8554 + 12.8554i −1.23133 + 1.23133i −0.267870 + 0.963455i \(0.586320\pi\)
−0.963455 + 0.267870i \(0.913680\pi\)
\(110\) 6.92815 5.36434i 0.660573 0.511470i
\(111\) 2.79249i 0.265051i
\(112\) 5.12287 + 15.2035i 0.484065 + 1.43660i
\(113\) 0.863630 + 0.863630i 0.0812435 + 0.0812435i 0.746561 0.665317i \(-0.231704\pi\)
−0.665317 + 0.746561i \(0.731704\pi\)
\(114\) 0.230225 + 0.807924i 0.0215625 + 0.0756690i
\(115\) 6.15546 14.3927i 0.573999 1.34213i
\(116\) 2.30065 + 0.539159i 0.213610 + 0.0500596i
\(117\) 5.38865i 0.498181i
\(118\) 8.00779 2.28189i 0.737177 0.210065i
\(119\) 23.0730i 2.11510i
\(120\) 3.53518 1.61560i 0.322716 0.147483i
\(121\) 3.32246i 0.302042i
\(122\) −3.04582 10.6886i −0.275755 0.967703i
\(123\) 3.11742i 0.281088i
\(124\) 4.01066 2.48775i 0.360168 0.223406i
\(125\) −10.1764 4.63041i −0.910206 0.414156i
\(126\) 14.3048 4.07627i 1.27437 0.363143i
\(127\) −11.7944 11.7944i −1.04659 1.04659i −0.998860 0.0477265i \(-0.984802\pi\)
−0.0477265 0.998860i \(-0.515198\pi\)
\(128\) 10.3625 + 4.54075i 0.915925 + 0.401349i
\(129\) 0.522229i 0.0459797i
\(130\) −6.44629 0.820077i −0.565377 0.0719255i
\(131\) −15.9756 + 15.9756i −1.39579 + 1.39579i −0.584132 + 0.811659i \(0.698565\pi\)
−0.811659 + 0.584132i \(0.801435\pi\)
\(132\) −0.777081 + 3.31589i −0.0676362 + 0.288611i
\(133\) −3.87683 −0.336163
\(134\) 1.19385 2.14539i 0.103133 0.185334i
\(135\) −2.87486 7.17147i −0.247429 0.617222i
\(136\) 12.0376 + 10.9472i 1.03221 + 0.938713i
\(137\) 1.29423 + 1.29423i 0.110573 + 0.110573i 0.760229 0.649655i \(-0.225087\pi\)
−0.649655 + 0.760229i \(0.725087\pi\)
\(138\) 1.66742 + 5.85144i 0.141940 + 0.498108i
\(139\) 8.61413 8.61413i 0.730641 0.730641i −0.240106 0.970747i \(-0.577182\pi\)
0.970747 + 0.240106i \(0.0771821\pi\)
\(140\) 2.69934 + 17.7328i 0.228136 + 1.49869i
\(141\) −1.67559 1.67559i −0.141110 0.141110i
\(142\) −2.88583 1.60588i −0.242173 0.134762i
\(143\) 4.02617 4.02617i 0.336685 0.336685i
\(144\) 4.66037 9.39707i 0.388364 0.783089i
\(145\) 2.42906 + 1.03886i 0.201723 + 0.0862727i
\(146\) 8.45705 2.40991i 0.699911 0.199445i
\(147\) 5.58450i 0.460602i
\(148\) −7.72265 + 4.79025i −0.634798 + 0.393756i
\(149\) 0.0806133 + 0.0806133i 0.00660410 + 0.00660410i 0.710401 0.703797i \(-0.248514\pi\)
−0.703797 + 0.710401i \(0.748514\pi\)
\(150\) 4.20542 1.09500i 0.343371 0.0894066i
\(151\) −3.25198 −0.264643 −0.132321 0.991207i \(-0.542243\pi\)
−0.132321 + 0.991207i \(0.542243\pi\)
\(152\) −1.83939 + 2.02260i −0.149194 + 0.164055i
\(153\) 10.6669 10.6669i 0.862364 0.862364i
\(154\) −13.7336 7.64232i −1.10668 0.615836i
\(155\) 4.89775 1.96338i 0.393397 0.157703i
\(156\) 2.14639 1.33137i 0.171849 0.106595i
\(157\) −9.06652 −0.723587 −0.361793 0.932258i \(-0.617835\pi\)
−0.361793 + 0.932258i \(0.617835\pi\)
\(158\) −17.4234 9.69559i −1.38613 0.771340i
\(159\) 3.18102 0.252271
\(160\) 10.5322 + 7.00518i 0.832644 + 0.553808i
\(161\) −28.0782 −2.21287
\(162\) −7.09753 3.94956i −0.557634 0.310307i
\(163\) 3.93313 0.308067 0.154033 0.988066i \(-0.450774\pi\)
0.154033 + 0.988066i \(0.450774\pi\)
\(164\) 8.62125 5.34763i 0.673206 0.417580i
\(165\) −1.49729 + 3.50097i −0.116564 + 0.272550i
\(166\) 3.40731 + 1.89607i 0.264459 + 0.147164i
\(167\) 8.13216 8.13216i 0.629285 0.629285i −0.318603 0.947888i \(-0.603214\pi\)
0.947888 + 0.318603i \(0.103214\pi\)
\(168\) −5.15793 4.69072i −0.397943 0.361897i
\(169\) 8.77728 0.675175
\(170\) 11.1371 + 14.3838i 0.854178 + 1.10319i
\(171\) 1.79229 + 1.79229i 0.137060 + 0.137060i
\(172\) 1.44423 0.895834i 0.110121 0.0683067i
\(173\) 6.86735i 0.522115i 0.965323 + 0.261057i \(0.0840712\pi\)
−0.965323 + 0.261057i \(0.915929\pi\)
\(174\) −0.987552 + 0.281411i −0.0748662 + 0.0213337i
\(175\) −0.458751 + 20.0490i −0.0346784 + 1.51556i
\(176\) −10.5031 + 3.53906i −0.791703 + 0.266767i
\(177\) −2.55861 + 2.55861i −0.192317 + 0.192317i
\(178\) −14.3902 8.00774i −1.07859 0.600205i
\(179\) −15.7117 15.7117i −1.17435 1.17435i −0.981163 0.193183i \(-0.938119\pi\)
−0.193183 0.981163i \(-0.561881\pi\)
\(180\) 6.95010 9.44596i 0.518030 0.704060i
\(181\) −13.9112 + 13.9112i −1.03401 + 1.03401i −0.0346142 + 0.999401i \(0.511020\pi\)
−0.999401 + 0.0346142i \(0.988980\pi\)
\(182\) 3.19430 + 11.2097i 0.236777 + 0.830919i
\(183\) 3.41518 + 3.41518i 0.252458 + 0.252458i
\(184\) −13.3219 + 14.6489i −0.982106 + 1.07993i
\(185\) −9.43078 + 3.78056i −0.693365 + 0.277953i
\(186\) −0.997282 + 1.79216i −0.0731243 + 0.131407i
\(187\) −15.9397 −1.16562
\(188\) 1.75955 7.50818i 0.128328 0.547591i
\(189\) −9.79951 + 9.79951i −0.712810 + 0.712810i
\(190\) −2.41683 + 1.87131i −0.175335 + 0.135759i
\(191\) 10.3393i 0.748123i −0.927404 0.374061i \(-0.877965\pi\)
0.927404 0.374061i \(-0.122035\pi\)
\(192\) −4.89445 + 0.465428i −0.353226 + 0.0335894i
\(193\) 13.2080 + 13.2080i 0.950734 + 0.950734i 0.998842 0.0481079i \(-0.0153191\pi\)
−0.0481079 + 0.998842i \(0.515319\pi\)
\(194\) 6.78843 1.93442i 0.487381 0.138883i
\(195\) 2.62114 1.05075i 0.187704 0.0752456i
\(196\) 15.4440 9.57968i 1.10314 0.684263i
\(197\) 15.2437i 1.08607i −0.839709 0.543036i \(-0.817275\pi\)
0.839709 0.543036i \(-0.182725\pi\)
\(198\) 2.81604 + 9.88227i 0.200127 + 0.702302i
\(199\) 4.98761i 0.353562i −0.984250 0.176781i \(-0.943432\pi\)
0.984250 0.176781i \(-0.0565684\pi\)
\(200\) 10.2422 + 9.75175i 0.724235 + 0.689553i
\(201\) 1.06694i 0.0752561i
\(202\) −14.2231 + 4.05300i −1.00074 + 0.285168i
\(203\) 4.73878i 0.332597i
\(204\) −6.88425 1.61333i −0.481994 0.112956i
\(205\) 10.5281 4.22046i 0.735316 0.294770i
\(206\) −2.04224 7.16680i −0.142290 0.499335i
\(207\) 12.9808 + 12.9808i 0.902228 + 0.902228i
\(208\) 7.36385 + 3.65202i 0.510591 + 0.253222i
\(209\) 2.67825i 0.185258i
\(210\) −4.77210 6.16327i −0.329306 0.425306i
\(211\) 10.3803 10.3803i 0.714608 0.714608i −0.252887 0.967496i \(-0.581380\pi\)
0.967496 + 0.252887i \(0.0813802\pi\)
\(212\) 5.45674 + 8.79715i 0.374770 + 0.604191i
\(213\) 1.43517 0.0983362
\(214\) −20.3413 11.3193i −1.39050 0.773774i
\(215\) 1.76367 0.707011i 0.120281 0.0482178i
\(216\) 0.463106 + 9.76203i 0.0315104 + 0.664222i
\(217\) −6.69257 6.69257i −0.454321 0.454321i
\(218\) 24.7265 7.04603i 1.67469 0.477217i
\(219\) −2.70216 + 2.70216i −0.182595 + 0.182595i
\(220\) −12.2504 + 1.86480i −0.825925 + 0.125725i
\(221\) 8.35890 + 8.35890i 0.562280 + 0.562280i
\(222\) 1.92030 3.45086i 0.128882 0.231606i
\(223\) 1.49853 1.49853i 0.100349 0.100349i −0.655150 0.755499i \(-0.727395\pi\)
0.755499 + 0.655150i \(0.227395\pi\)
\(224\) 4.12429 22.3108i 0.275566 1.49070i
\(225\) 9.48092 9.05675i 0.632061 0.603783i
\(226\) −0.473354 1.66113i −0.0314870 0.110497i
\(227\) 15.6346i 1.03771i 0.854864 + 0.518853i \(0.173641\pi\)
−0.854864 + 0.518853i \(0.826359\pi\)
\(228\) 0.271079 1.15672i 0.0179526 0.0766057i
\(229\) 9.74097 + 9.74097i 0.643702 + 0.643702i 0.951463 0.307762i \(-0.0995800\pi\)
−0.307762 + 0.951463i \(0.599580\pi\)
\(230\) −17.5041 + 13.5531i −1.15418 + 0.893663i
\(231\) 6.82992 0.449376
\(232\) −2.47230 2.24835i −0.162314 0.147612i
\(233\) −0.509123 + 0.509123i −0.0333538 + 0.0333538i −0.723587 0.690233i \(-0.757508\pi\)
0.690233 + 0.723587i \(0.257508\pi\)
\(234\) 3.70560 6.65910i 0.242242 0.435319i
\(235\) 3.39033 7.92727i 0.221161 0.517118i
\(236\) −11.4649 2.68681i −0.746303 0.174897i
\(237\) 8.66493 0.562848
\(238\) 15.8665 28.5128i 1.02847 1.84821i
\(239\) −8.19486 −0.530081 −0.265041 0.964237i \(-0.585385\pi\)
−0.265041 + 0.964237i \(0.585385\pi\)
\(240\) −5.47964 0.434529i −0.353709 0.0280487i
\(241\) 5.66775 0.365092 0.182546 0.983197i \(-0.441566\pi\)
0.182546 + 0.983197i \(0.441566\pi\)
\(242\) −2.28474 + 4.10578i −0.146869 + 0.263929i
\(243\) 13.8956 0.891400
\(244\) −3.58630 + 15.3031i −0.229590 + 0.979683i
\(245\) 18.8600 7.56048i 1.20492 0.483022i
\(246\) −2.14374 + 3.85239i −0.136680 + 0.245620i
\(247\) −1.40450 + 1.40450i −0.0893661 + 0.0893661i
\(248\) −6.66697 + 0.316278i −0.423353 + 0.0200837i
\(249\) −1.69451 −0.107385
\(250\) 9.39147 + 12.7201i 0.593969 + 0.804488i
\(251\) 14.7484 + 14.7484i 0.930911 + 0.930911i 0.997763 0.0668521i \(-0.0212956\pi\)
−0.0668521 + 0.997763i \(0.521296\pi\)
\(252\) −20.4805 4.79962i −1.29015 0.302348i
\(253\) 19.3974i 1.21951i
\(254\) 6.46451 + 22.6858i 0.405619 + 1.42343i
\(255\) −7.26851 3.10859i −0.455172 0.194668i
\(256\) −9.68310 12.7373i −0.605194 0.796078i
\(257\) 3.61143 3.61143i 0.225275 0.225275i −0.585440 0.810715i \(-0.699078\pi\)
0.810715 + 0.585440i \(0.199078\pi\)
\(258\) −0.359120 + 0.645352i −0.0223578 + 0.0401779i
\(259\) 12.8868 + 12.8868i 0.800745 + 0.800745i
\(260\) 7.40216 + 5.44632i 0.459063 + 0.337767i
\(261\) −2.19078 + 2.19078i −0.135606 + 0.135606i
\(262\) 30.7279 8.75617i 1.89838 0.540958i
\(263\) −6.80041 6.80041i −0.419331 0.419331i 0.465642 0.884973i \(-0.345823\pi\)
−0.884973 + 0.465642i \(0.845823\pi\)
\(264\) 3.24052 3.56328i 0.199440 0.219305i
\(265\) 4.30657 + 10.7429i 0.264551 + 0.659933i
\(266\) 4.79084 + 2.66596i 0.293746 + 0.163461i
\(267\) 7.15650 0.437970
\(268\) −2.95063 + 1.83023i −0.180238 + 0.111799i
\(269\) 1.20010 1.20010i 0.0731711 0.0731711i −0.669574 0.742745i \(-0.733523\pi\)
0.742745 + 0.669574i \(0.233523\pi\)
\(270\) −1.37893 + 10.8392i −0.0839189 + 0.659652i
\(271\) 2.79591i 0.169840i −0.996388 0.0849199i \(-0.972937\pi\)
0.996388 0.0849199i \(-0.0270634\pi\)
\(272\) −7.34759 21.8060i −0.445513 1.32218i
\(273\) −3.58167 3.58167i −0.216773 0.216773i
\(274\) −0.709364 2.48936i −0.0428543 0.150388i
\(275\) −13.8506 0.316922i −0.835220 0.0191111i
\(276\) 1.96331 8.37764i 0.118177 0.504274i
\(277\) 13.8115i 0.829852i −0.909855 0.414926i \(-0.863807\pi\)
0.909855 0.414926i \(-0.136193\pi\)
\(278\) −16.5687 + 4.72139i −0.993724 + 0.283170i
\(279\) 6.18807i 0.370470i
\(280\) 8.85849 23.7698i 0.529396 1.42052i
\(281\) 7.21718i 0.430541i 0.976554 + 0.215270i \(0.0690633\pi\)
−0.976554 + 0.215270i \(0.930937\pi\)
\(282\) 0.918389 + 3.22289i 0.0546892 + 0.191920i
\(283\) 25.2988i 1.50386i 0.659243 + 0.751930i \(0.270877\pi\)
−0.659243 + 0.751930i \(0.729123\pi\)
\(284\) 2.46190 + 3.96898i 0.146087 + 0.235515i
\(285\) 0.522319 1.22129i 0.0309395 0.0723428i
\(286\) −7.74407 + 2.20674i −0.457916 + 0.130487i
\(287\) −14.3862 14.3862i −0.849193 0.849193i
\(288\) −12.2212 + 8.40779i −0.720140 + 0.495434i
\(289\) 16.0930i 0.946644i
\(290\) −2.28736 2.95417i −0.134319 0.173475i
\(291\) −2.16901 + 2.16901i −0.127149 + 0.127149i
\(292\) −12.1081 2.83755i −0.708575 0.166055i
\(293\) −14.1276 −0.825344 −0.412672 0.910880i \(-0.635404\pi\)
−0.412672 + 0.910880i \(0.635404\pi\)
\(294\) −3.84028 + 6.90113i −0.223969 + 0.402482i
\(295\) −12.1049 5.17700i −0.704773 0.301417i
\(296\) 12.8375 0.609004i 0.746163 0.0353976i
\(297\) −6.76985 6.76985i −0.392827 0.392827i
\(298\) −0.0441840 0.155054i −0.00255951 0.00898204i
\(299\) −10.1722 + 10.1722i −0.588272 + 0.588272i
\(300\) −5.94990 1.53876i −0.343518 0.0888403i
\(301\) −2.40998 2.40998i −0.138909 0.138909i
\(302\) 4.01869 + 2.23628i 0.231249 + 0.128683i
\(303\) 4.54451 4.54451i 0.261076 0.261076i
\(304\) 3.66393 1.23457i 0.210141 0.0708076i
\(305\) −6.91016 + 16.1573i −0.395674 + 0.925166i
\(306\) −20.5170 + 5.84648i −1.17288 + 0.334221i
\(307\) 22.6081i 1.29031i 0.764051 + 0.645156i \(0.223208\pi\)
−0.764051 + 0.645156i \(0.776792\pi\)
\(308\) 11.7161 + 18.8882i 0.667586 + 1.07626i
\(309\) 2.28990 + 2.28990i 0.130268 + 0.130268i
\(310\) −7.40262 0.941738i −0.420440 0.0534871i
\(311\) −10.7903 −0.611859 −0.305929 0.952054i \(-0.598967\pi\)
−0.305929 + 0.952054i \(0.598967\pi\)
\(312\) −3.56797 + 0.169263i −0.201997 + 0.00958263i
\(313\) −20.6842 + 20.6842i −1.16914 + 1.16914i −0.186727 + 0.982412i \(0.559788\pi\)
−0.982412 + 0.186727i \(0.940212\pi\)
\(314\) 11.2041 + 6.23474i 0.632283 + 0.351847i
\(315\) −21.6237 9.24799i −1.21836 0.521065i
\(316\) 14.8639 + 23.9629i 0.836157 + 1.34802i
\(317\) 23.8207 1.33791 0.668953 0.743305i \(-0.266743\pi\)
0.668953 + 0.743305i \(0.266743\pi\)
\(318\) −3.93099 2.18748i −0.220439 0.122668i
\(319\) 3.27372 0.183293
\(320\) −8.19811 15.8994i −0.458288 0.888804i
\(321\) 10.1161 0.564624
\(322\) 34.6980 + 19.3084i 1.93365 + 1.07602i
\(323\) 5.56042 0.309390
\(324\) 6.05489 + 9.76146i 0.336383 + 0.542304i
\(325\) 7.09716 + 7.42956i 0.393680 + 0.412118i
\(326\) −4.86043 2.70469i −0.269194 0.149799i
\(327\) −7.90050 + 7.90050i −0.436899 + 0.436899i
\(328\) −14.3312 + 0.679866i −0.791309 + 0.0375393i
\(329\) −15.4650 −0.852615
\(330\) 4.25781 3.29674i 0.234385 0.181480i
\(331\) −19.7688 19.7688i −1.08659 1.08659i −0.995877 0.0907155i \(-0.971085\pi\)
−0.0907155 0.995877i \(-0.528915\pi\)
\(332\) −2.90677 4.68619i −0.159530 0.257188i
\(333\) 11.9153i 0.652957i
\(334\) −15.6417 + 4.45722i −0.855873 + 0.243888i
\(335\) −3.60326 + 1.44446i −0.196867 + 0.0789191i
\(336\) 3.14834 + 9.34356i 0.171756 + 0.509733i
\(337\) 7.26955 7.26955i 0.395998 0.395998i −0.480821 0.876819i \(-0.659661\pi\)
0.876819 + 0.480821i \(0.159661\pi\)
\(338\) −10.8467 6.03584i −0.589980 0.328307i
\(339\) 0.530758 + 0.530758i 0.0288268 + 0.0288268i
\(340\) −3.87159 25.4336i −0.209967 1.37933i
\(341\) 4.62347 4.62347i 0.250375 0.250375i
\(342\) −0.982352 3.44735i −0.0531195 0.186411i
\(343\) −5.91866 5.91866i −0.319578 0.319578i
\(344\) −2.40076 + 0.113891i −0.129440 + 0.00614059i
\(345\) 3.78293 8.84526i 0.203666 0.476213i
\(346\) 4.72245 8.48642i 0.253880 0.456233i
\(347\) −23.4667 −1.25976 −0.629880 0.776692i \(-0.716896\pi\)
−0.629880 + 0.776692i \(0.716896\pi\)
\(348\) 1.41390 + 0.331349i 0.0757930 + 0.0177622i
\(349\) 23.2089 23.2089i 1.24234 1.24234i 0.283315 0.959027i \(-0.408566\pi\)
0.959027 0.283315i \(-0.0914342\pi\)
\(350\) 14.3539 24.4604i 0.767250 1.30746i
\(351\) 7.10035i 0.378988i
\(352\) 15.4131 + 2.84921i 0.821521 + 0.151863i
\(353\) −13.3220 13.3220i −0.709059 0.709059i 0.257278 0.966337i \(-0.417174\pi\)
−0.966337 + 0.257278i \(0.917174\pi\)
\(354\) 4.92131 1.40237i 0.261565 0.0745351i
\(355\) 1.94298 + 4.84685i 0.103123 + 0.257244i
\(356\) 12.2763 + 19.7914i 0.650642 + 1.04894i
\(357\) 14.1799i 0.750479i
\(358\) 8.61154 + 30.2203i 0.455134 + 1.59719i
\(359\) 26.9902i 1.42449i −0.701932 0.712244i \(-0.747679\pi\)
0.701932 0.712244i \(-0.252321\pi\)
\(360\) −15.0844 + 6.89363i −0.795016 + 0.363326i
\(361\) 18.0657i 0.950827i
\(362\) 26.7573 7.62473i 1.40633 0.400747i
\(363\) 2.04187i 0.107170i
\(364\) 3.76114 16.0492i 0.197137 0.841205i
\(365\) −12.7840 5.46745i −0.669145 0.286179i
\(366\) −1.87185 6.56887i −0.0978434 0.343360i
\(367\) 19.4758 + 19.4758i 1.01663 + 1.01663i 0.999859 + 0.0167684i \(0.00533781\pi\)
0.0167684 + 0.999859i \(0.494662\pi\)
\(368\) 26.5363 8.94148i 1.38330 0.466107i
\(369\) 13.3018i 0.692464i
\(370\) 14.2540 + 1.81335i 0.741030 + 0.0942715i
\(371\) 14.6798 14.6798i 0.762136 0.762136i
\(372\) 2.46481 1.52889i 0.127795 0.0792690i
\(373\) 4.87069 0.252195 0.126097 0.992018i \(-0.459755\pi\)
0.126097 + 0.992018i \(0.459755\pi\)
\(374\) 19.6977 + 10.9612i 1.01854 + 0.566789i
\(375\) −6.25408 2.84569i −0.322959 0.146951i
\(376\) −7.33752 + 8.06836i −0.378404 + 0.416094i
\(377\) −1.71677 1.71677i −0.0884180 0.0884180i
\(378\) 18.8487 5.37109i 0.969472 0.276259i
\(379\) −2.54450 + 2.54450i −0.130702 + 0.130702i −0.769432 0.638729i \(-0.779460\pi\)
0.638729 + 0.769432i \(0.279460\pi\)
\(380\) 4.27347 0.650522i 0.219224 0.0333711i
\(381\) −7.24846 7.24846i −0.371350 0.371350i
\(382\) −7.10996 + 12.7769i −0.363777 + 0.653723i
\(383\) −0.193238 + 0.193238i −0.00987399 + 0.00987399i −0.712027 0.702153i \(-0.752222\pi\)
0.702153 + 0.712027i \(0.252222\pi\)
\(384\) 6.36845 + 2.79059i 0.324988 + 0.142407i
\(385\) 9.24658 + 23.0660i 0.471249 + 1.17555i
\(386\) −7.23929 25.4047i −0.368470 1.29307i
\(387\) 2.22831i 0.113272i
\(388\) −9.71914 2.27769i −0.493414 0.115632i
\(389\) −2.01528 2.01528i −0.102179 0.102179i 0.654169 0.756348i \(-0.273018\pi\)
−0.756348 + 0.654169i \(0.773018\pi\)
\(390\) −3.96167 0.503991i −0.200607 0.0255206i
\(391\) 40.2718 2.03663
\(392\) −25.6728 + 1.21790i −1.29667 + 0.0615134i
\(393\) −9.81803 + 9.81803i −0.495254 + 0.495254i
\(394\) −10.4826 + 18.8377i −0.528107 + 0.949029i
\(395\) 11.7309 + 29.2632i 0.590244 + 1.47239i
\(396\) 3.31575 14.1487i 0.166623 0.710997i
\(397\) −21.5509 −1.08161 −0.540804 0.841149i \(-0.681880\pi\)
−0.540804 + 0.841149i \(0.681880\pi\)
\(398\) −3.42981 + 6.16351i −0.171921 + 0.308949i
\(399\) −2.38257 −0.119277
\(400\) −5.95103 19.0941i −0.297552 0.954706i
\(401\) −10.3965 −0.519176 −0.259588 0.965719i \(-0.583587\pi\)
−0.259588 + 0.965719i \(0.583587\pi\)
\(402\) 0.733699 1.31849i 0.0365936 0.0657601i
\(403\) −4.84917 −0.241555
\(404\) 20.3636 + 4.77222i 1.01313 + 0.237427i
\(405\) 4.77865 + 11.9205i 0.237453 + 0.592337i
\(406\) −3.25870 + 5.85601i −0.161726 + 0.290629i
\(407\) −8.90264 + 8.90264i −0.441288 + 0.441288i
\(408\) 7.39788 + 6.72776i 0.366250 + 0.333074i
\(409\) 0.330732 0.0163536 0.00817682 0.999967i \(-0.497397\pi\)
0.00817682 + 0.999967i \(0.497397\pi\)
\(410\) −15.9126 2.02435i −0.785865 0.0999753i
\(411\) 0.795389 + 0.795389i 0.0392337 + 0.0392337i
\(412\) −2.40464 + 10.2609i −0.118468 + 0.505516i
\(413\) 23.6150i 1.16202i
\(414\) −7.11475 24.9677i −0.349671 1.22709i
\(415\) −2.29409 5.72270i −0.112612 0.280917i
\(416\) −6.58861 9.57691i −0.323033 0.469547i
\(417\) 5.29395 5.29395i 0.259246 0.259246i
\(418\) −1.84174 + 3.30969i −0.0900826 + 0.161882i
\(419\) 6.71354 + 6.71354i 0.327978 + 0.327978i 0.851817 0.523839i \(-0.175501\pi\)
−0.523839 + 0.851817i \(0.675501\pi\)
\(420\) 1.65892 + 10.8980i 0.0809472 + 0.531766i
\(421\) 2.99831 2.99831i 0.146129 0.146129i −0.630258 0.776386i \(-0.717051\pi\)
0.776386 + 0.630258i \(0.217051\pi\)
\(422\) −19.9658 + 5.68941i −0.971918 + 0.276956i
\(423\) 7.14963 + 7.14963i 0.347627 + 0.347627i
\(424\) −0.693737 14.6236i −0.0336909 0.710186i
\(425\) 0.657974 28.7557i 0.0319164 1.39486i
\(426\) −1.77353 0.986918i −0.0859279 0.0478163i
\(427\) 31.5208 1.52540
\(428\) 17.3531 + 27.9761i 0.838796 + 1.35228i
\(429\) 2.47435 2.47435i 0.119463 0.119463i
\(430\) −2.66567 0.339118i −0.128550 0.0163537i
\(431\) 19.9548i 0.961191i −0.876942 0.480596i \(-0.840420\pi\)
0.876942 0.480596i \(-0.159580\pi\)
\(432\) 6.14073 12.3820i 0.295446 0.595731i
\(433\) −16.1910 16.1910i −0.778092 0.778092i 0.201414 0.979506i \(-0.435446\pi\)
−0.979506 + 0.201414i \(0.935446\pi\)
\(434\) 3.66818 + 12.8727i 0.176078 + 0.617909i
\(435\) 1.49282 + 0.638449i 0.0715753 + 0.0306113i
\(436\) −35.4015 8.29636i −1.69542 0.397324i
\(437\) 6.76664i 0.323692i
\(438\) 5.19742 1.48105i 0.248342 0.0707672i
\(439\) 29.3734i 1.40191i −0.713204 0.700957i \(-0.752757\pi\)
0.713204 0.700957i \(-0.247243\pi\)
\(440\) 16.4210 + 6.11977i 0.782842 + 0.291748i
\(441\) 23.8287i 1.13470i
\(442\) −4.58150 16.0778i −0.217920 0.764741i
\(443\) 19.8713i 0.944115i −0.881568 0.472057i \(-0.843511\pi\)
0.881568 0.472057i \(-0.156489\pi\)
\(444\) −4.74608 + 2.94392i −0.225239 + 0.139712i
\(445\) 9.68870 + 24.1689i 0.459288 + 1.14572i
\(446\) −2.88232 + 0.821341i −0.136482 + 0.0388916i
\(447\) 0.0495422 + 0.0495422i 0.00234326 + 0.00234326i
\(448\) −20.4390 + 24.7347i −0.965654 + 1.16861i
\(449\) 16.7577i 0.790844i 0.918500 + 0.395422i \(0.129402\pi\)
−0.918500 + 0.395422i \(0.870598\pi\)
\(450\) −17.9442 + 4.67230i −0.845898 + 0.220254i
\(451\) 9.93854 9.93854i 0.467987 0.467987i
\(452\) −0.557352 + 2.37828i −0.0262156 + 0.111865i
\(453\) −1.99856 −0.0939005
\(454\) 10.7514 19.3207i 0.504588 0.906766i
\(455\) 7.24703 16.9450i 0.339746 0.794394i
\(456\) −1.13043 + 1.24302i −0.0529372 + 0.0582099i
\(457\) 5.00267 + 5.00267i 0.234015 + 0.234015i 0.814366 0.580351i \(-0.197085\pi\)
−0.580351 + 0.814366i \(0.697085\pi\)
\(458\) −5.33901 18.7361i −0.249475 0.875480i
\(459\) 14.0552 14.0552i 0.656039 0.656039i
\(460\) 30.9509 4.71145i 1.44309 0.219672i
\(461\) 2.71518 + 2.71518i 0.126459 + 0.126459i 0.767503 0.641045i \(-0.221499\pi\)
−0.641045 + 0.767503i \(0.721499\pi\)
\(462\) −8.44018 4.69671i −0.392673 0.218511i
\(463\) −9.18551 + 9.18551i −0.426887 + 0.426887i −0.887566 0.460680i \(-0.847606\pi\)
0.460680 + 0.887566i \(0.347606\pi\)
\(464\) 1.50906 + 4.47855i 0.0700564 + 0.207912i
\(465\) 3.00999 1.20663i 0.139585 0.0559561i
\(466\) 0.979263 0.279049i 0.0453635 0.0129267i
\(467\) 1.06405i 0.0492385i 0.999697 + 0.0246193i \(0.00783735\pi\)
−0.999697 + 0.0246193i \(0.992163\pi\)
\(468\) −9.15849 + 5.68087i −0.423351 + 0.262598i
\(469\) 4.92371 + 4.92371i 0.227356 + 0.227356i
\(470\) −9.64097 + 7.46483i −0.444705 + 0.344327i
\(471\) −5.57197 −0.256743
\(472\) 12.3203 + 11.2043i 0.567088 + 0.515720i
\(473\) 1.66490 1.66490i 0.0765523 0.0765523i
\(474\) −10.7078 5.95858i −0.491826 0.273687i
\(475\) 4.83166 + 0.110556i 0.221692 + 0.00507265i
\(476\) −39.2146 + 24.3242i −1.79740 + 1.11490i
\(477\) −13.5732 −0.621474
\(478\) 10.1269 + 5.63533i 0.463194 + 0.257754i
\(479\) −15.8658 −0.724926 −0.362463 0.931998i \(-0.618064\pi\)
−0.362463 + 0.931998i \(0.618064\pi\)
\(480\) 6.47274 + 4.30514i 0.295439 + 0.196502i
\(481\) 9.33725 0.425742
\(482\) −7.00400 3.89752i −0.319024 0.177527i
\(483\) −17.2559 −0.785170
\(484\) 5.64681 3.50263i 0.256673 0.159210i
\(485\) −10.2616 4.38869i −0.465957 0.199280i
\(486\) −17.1716 9.55551i −0.778921 0.433447i
\(487\) −13.7947 + 13.7947i −0.625099 + 0.625099i −0.946831 0.321732i \(-0.895735\pi\)
0.321732 + 0.946831i \(0.395735\pi\)
\(488\) 14.9553 16.4449i 0.676994 0.744426i
\(489\) 2.41717 0.109308
\(490\) −28.5056 3.62639i −1.28775 0.163824i
\(491\) 19.4471 + 19.4471i 0.877637 + 0.877637i 0.993290 0.115652i \(-0.0368958\pi\)
−0.115652 + 0.993290i \(0.536896\pi\)
\(492\) 5.29833 3.28647i 0.238867 0.148166i
\(493\) 6.79669i 0.306108i
\(494\) 2.70146 0.769803i 0.121544 0.0346351i
\(495\) 6.38885 14.9384i 0.287157 0.671431i
\(496\) 8.45630 + 4.19381i 0.379699 + 0.188308i
\(497\) 6.62302 6.62302i 0.297083 0.297083i
\(498\) 2.09402 + 1.16526i 0.0938353 + 0.0522166i
\(499\) −23.0141 23.0141i −1.03025 1.03025i −0.999528 0.0307258i \(-0.990218\pi\)
−0.0307258 0.999528i \(-0.509782\pi\)
\(500\) −2.85848 22.1772i −0.127835 0.991795i
\(501\) 4.99775 4.99775i 0.223283 0.223283i
\(502\) −8.08357 28.3675i −0.360787 1.26611i
\(503\) 6.63364 + 6.63364i 0.295780 + 0.295780i 0.839358 0.543579i \(-0.182931\pi\)
−0.543579 + 0.839358i \(0.682931\pi\)
\(504\) 22.0085 + 20.0149i 0.980337 + 0.891537i
\(505\) 21.5002 + 9.19520i 0.956748 + 0.409181i
\(506\) −13.3390 + 23.9706i −0.592989 + 1.06562i
\(507\) 5.39422 0.239566
\(508\) 7.61165 32.4797i 0.337712 1.44105i
\(509\) −8.04140 + 8.04140i −0.356429 + 0.356429i −0.862495 0.506066i \(-0.831099\pi\)
0.506066 + 0.862495i \(0.331099\pi\)
\(510\) 6.84450 + 8.83980i 0.303079 + 0.391433i
\(511\) 24.9398i 1.10327i
\(512\) 3.20705 + 22.3990i 0.141733 + 0.989905i
\(513\) 2.36161 + 2.36161i 0.104268 + 0.104268i
\(514\) −6.94634 + 1.97942i −0.306390 + 0.0873084i
\(515\) −4.63331 + 10.8336i −0.204168 + 0.477386i
\(516\) 0.887575 0.550549i 0.0390733 0.0242366i
\(517\) 10.6838i 0.469873i
\(518\) −7.06321 24.7868i −0.310340 1.08907i
\(519\) 4.22044i 0.185257i
\(520\) −5.40208 11.8206i −0.236897 0.518367i
\(521\) 32.8549i 1.43940i 0.694285 + 0.719700i \(0.255721\pi\)
−0.694285 + 0.719700i \(0.744279\pi\)
\(522\) 4.21381 1.20076i 0.184434 0.0525559i
\(523\) 2.46341i 0.107717i −0.998549 0.0538587i \(-0.982848\pi\)
0.998549 0.0538587i \(-0.0171521\pi\)
\(524\) −43.9938 10.3100i −1.92188 0.450393i
\(525\) −0.281933 + 12.3214i −0.0123046 + 0.537751i
\(526\) 3.72729 + 13.0801i 0.162518 + 0.570321i
\(527\) 9.59896 + 9.59896i 0.418137 + 0.418137i
\(528\) −6.45487 + 2.17499i −0.280912 + 0.0946541i
\(529\) 26.0078i 1.13078i
\(530\) 2.06565 16.2372i 0.0897261 0.705300i
\(531\) 10.9174 10.9174i 0.473775 0.473775i
\(532\) −4.08706 6.58901i −0.177197 0.285670i
\(533\) −10.4237 −0.451501
\(534\) −8.84375 4.92128i −0.382706 0.212965i
\(535\) 13.6955 + 34.1640i 0.592107 + 1.47704i
\(536\) 4.90487 0.232685i 0.211858 0.0100505i
\(537\) −9.65586 9.65586i −0.416681 0.416681i
\(538\) −2.30830 + 0.657770i −0.0995180 + 0.0283585i
\(539\) 17.8038 17.8038i 0.766863 0.766863i
\(540\) 9.15778 12.4465i 0.394088 0.535610i
\(541\) −18.0772 18.0772i −0.777198 0.777198i 0.202156 0.979353i \(-0.435205\pi\)
−0.979353 + 0.202156i \(0.935205\pi\)
\(542\) −1.92266 + 3.45509i −0.0825852 + 0.148409i
\(543\) −8.54938 + 8.54938i −0.366889 + 0.366889i
\(544\) −5.91535 + 31.9997i −0.253619 + 1.37198i
\(545\) −37.3775 15.9856i −1.60108 0.684747i
\(546\) 1.96311 + 6.88910i 0.0840133 + 0.294826i
\(547\) 43.6742i 1.86738i −0.358089 0.933688i \(-0.616572\pi\)
0.358089 0.933688i \(-0.383428\pi\)
\(548\) −0.835243 + 3.56407i −0.0356798 + 0.152250i
\(549\) −14.5723 14.5723i −0.621932 0.621932i
\(550\) 16.8981 + 9.91621i 0.720537 + 0.422829i
\(551\) −1.14201 −0.0486513
\(552\) −8.18721 + 9.00269i −0.348471 + 0.383180i
\(553\) 39.9869 39.9869i 1.70042 1.70042i
\(554\) −9.49770 + 17.0677i −0.403519 + 0.725139i
\(555\) −5.79584 + 2.32341i −0.246020 + 0.0986231i
\(556\) 23.7217 + 5.55921i 1.00603 + 0.235763i
\(557\) −5.18948 −0.219885 −0.109943 0.993938i \(-0.535067\pi\)
−0.109943 + 0.993938i \(0.535067\pi\)
\(558\) 4.25533 7.64700i 0.180143 0.323723i
\(559\) −1.74618 −0.0738555
\(560\) −27.2927 + 23.2822i −1.15333 + 0.983852i
\(561\) −9.79597 −0.413586
\(562\) 4.96301 8.91874i 0.209352 0.376214i
\(563\) 11.3756 0.479423 0.239711 0.970844i \(-0.422947\pi\)
0.239711 + 0.970844i \(0.422947\pi\)
\(564\) 1.08136 4.61427i 0.0455334 0.194296i
\(565\) −1.07392 + 2.51103i −0.0451800 + 0.105640i
\(566\) 17.3972 31.2634i 0.731257 1.31410i
\(567\) 16.2889 16.2889i 0.684071 0.684071i
\(568\) −0.312991 6.59768i −0.0131328 0.276833i
\(569\) 7.51787 0.315165 0.157583 0.987506i \(-0.449630\pi\)
0.157583 + 0.987506i \(0.449630\pi\)
\(570\) −1.48530 + 1.15004i −0.0622125 + 0.0481700i
\(571\) −7.76889 7.76889i −0.325118 0.325118i 0.525609 0.850726i \(-0.323838\pi\)
−0.850726 + 0.525609i \(0.823838\pi\)
\(572\) 11.0873 + 2.59833i 0.463585 + 0.108642i
\(573\) 6.35416i 0.265449i
\(574\) 7.88507 + 27.6710i 0.329117 + 1.15496i
\(575\) 34.9936 + 0.800708i 1.45934 + 0.0333918i
\(576\) 20.8843 1.98595i 0.870177 0.0827478i
\(577\) −9.84819 + 9.84819i −0.409986 + 0.409986i −0.881733 0.471748i \(-0.843623\pi\)
0.471748 + 0.881733i \(0.343623\pi\)
\(578\) −11.0666 + 19.8871i −0.460309 + 0.827195i
\(579\) 8.11720 + 8.11720i 0.337339 + 0.337339i
\(580\) 0.795155 + 5.22361i 0.0330170 + 0.216899i
\(581\) −7.81984 + 7.81984i −0.324421 + 0.324421i
\(582\) 4.17194 1.18883i 0.172932 0.0492785i
\(583\) 10.1413 + 10.1413i 0.420010 + 0.420010i
\(584\) 13.0115 + 11.8329i 0.538421 + 0.489650i
\(585\) −11.1842 + 4.48346i −0.462410 + 0.185368i
\(586\) 17.4584 + 9.71509i 0.721200 + 0.401327i
\(587\) −33.0447 −1.36390 −0.681951 0.731398i \(-0.738868\pi\)
−0.681951 + 0.731398i \(0.738868\pi\)
\(588\) 9.49136 5.88734i 0.391417 0.242790i
\(589\) −1.61286 + 1.61286i −0.0664567 + 0.0664567i
\(590\) 11.3987 + 14.7217i 0.469278 + 0.606082i
\(591\) 9.36829i 0.385360i
\(592\) −16.2829 8.07532i −0.669223 0.331894i
\(593\) 18.5424 + 18.5424i 0.761445 + 0.761445i 0.976584 0.215139i \(-0.0690203\pi\)
−0.215139 + 0.976584i \(0.569020\pi\)
\(594\) 3.71054 + 13.0214i 0.152245 + 0.534273i
\(595\) −47.8882 + 19.1972i −1.96323 + 0.787008i
\(596\) −0.0520245 + 0.221994i −0.00213101 + 0.00909324i
\(597\) 3.06521i 0.125451i
\(598\) 19.5655 5.57535i 0.800092 0.227993i
\(599\) 28.3117i 1.15678i 0.815759 + 0.578392i \(0.196319\pi\)
−0.815759 + 0.578392i \(0.803681\pi\)
\(600\) 6.29453 + 5.99310i 0.256973 + 0.244667i
\(601\) 41.7630i 1.70355i −0.523909 0.851774i \(-0.675527\pi\)
0.523909 0.851774i \(-0.324473\pi\)
\(602\) 1.32091 + 4.63543i 0.0538361 + 0.188926i
\(603\) 4.55255i 0.185394i
\(604\) −3.42833 5.52703i −0.139497 0.224892i
\(605\) 6.89579 2.76435i 0.280354 0.112387i
\(606\) −8.74106 + 2.49084i −0.355081 + 0.101183i
\(607\) −4.01973 4.01973i −0.163156 0.163156i 0.620807 0.783963i \(-0.286805\pi\)
−0.783963 + 0.620807i \(0.786805\pi\)
\(608\) −5.37674 0.993923i −0.218055 0.0403089i
\(609\) 2.91229i 0.118012i
\(610\) 19.6502 15.2148i 0.795613 0.616028i
\(611\) −5.60268 + 5.60268i −0.226660 + 0.226660i
\(612\) 29.3746 + 6.88396i 1.18740 + 0.278268i
\(613\) 21.5230 0.869305 0.434652 0.900598i \(-0.356871\pi\)
0.434652 + 0.900598i \(0.356871\pi\)
\(614\) 15.5468 27.9383i 0.627419 1.12750i
\(615\) 6.47023 2.59375i 0.260905 0.104590i
\(616\) −1.48951 31.3982i −0.0600142 1.26507i
\(617\) 26.4655 + 26.4655i 1.06546 + 1.06546i 0.997702 + 0.0677580i \(0.0215846\pi\)
0.0677580 + 0.997702i \(0.478415\pi\)
\(618\) −1.25509 4.40447i −0.0504872 0.177174i
\(619\) −21.7935 + 21.7935i −0.875955 + 0.875955i −0.993113 0.117158i \(-0.962622\pi\)
0.117158 + 0.993113i \(0.462622\pi\)
\(620\) 8.50029 + 6.25430i 0.341380 + 0.251179i
\(621\) 17.1041 + 17.1041i 0.686365 + 0.686365i
\(622\) 13.3342 + 7.42010i 0.534653 + 0.297519i
\(623\) 33.0258 33.0258i 1.32315 1.32315i
\(624\) 4.52557 + 2.24441i 0.181168 + 0.0898482i
\(625\) 1.14348 24.9738i 0.0457391 0.998953i
\(626\) 39.7846 11.3370i 1.59011 0.453116i
\(627\) 1.64596i 0.0657334i
\(628\) −9.55818 15.4093i −0.381413 0.614900i
\(629\) −18.4831 18.4831i −0.736971 0.736971i
\(630\) 20.3622 + 26.2982i 0.811250 + 1.04775i
\(631\) −42.7412 −1.70150 −0.850751 0.525570i \(-0.823852\pi\)
−0.850751 + 0.525570i \(0.823852\pi\)
\(632\) −1.88970 39.8339i −0.0751683 1.58451i
\(633\) 6.37937 6.37937i 0.253557 0.253557i
\(634\) −29.4368 16.3807i −1.16909 0.650562i
\(635\) 14.6663 34.2927i 0.582013 1.36086i
\(636\) 3.35353 + 5.40643i 0.132976 + 0.214379i
\(637\) −18.6729 −0.739848
\(638\) −4.04554 2.25123i −0.160165 0.0891269i
\(639\) −6.12376 −0.242252
\(640\) −0.802557 + 25.2855i −0.0317239 + 0.999497i
\(641\) 45.4930 1.79687 0.898433 0.439110i \(-0.144706\pi\)
0.898433 + 0.439110i \(0.144706\pi\)
\(642\) −12.5011 6.95648i −0.493378 0.274551i
\(643\) −31.3531 −1.23645 −0.618224 0.786002i \(-0.712147\pi\)
−0.618224 + 0.786002i \(0.712147\pi\)
\(644\) −29.6008 47.7214i −1.16644 1.88048i
\(645\) 1.08389 0.434505i 0.0426782 0.0171086i
\(646\) −6.87137 3.82372i −0.270351 0.150442i
\(647\) −24.0355 + 24.0355i −0.944932 + 0.944932i −0.998561 0.0536292i \(-0.982921\pi\)
0.0536292 + 0.998561i \(0.482921\pi\)
\(648\) −0.769783 16.2266i −0.0302399 0.637442i
\(649\) −16.3141 −0.640383
\(650\) −3.66137 14.0617i −0.143611 0.551544i
\(651\) −4.11303 4.11303i −0.161202 0.161202i
\(652\) 4.14642 + 6.68471i 0.162387 + 0.261793i
\(653\) 15.4153i 0.603248i 0.953427 + 0.301624i \(0.0975288\pi\)
−0.953427 + 0.301624i \(0.902471\pi\)
\(654\) 15.1961 4.33025i 0.594213 0.169326i
\(655\) −46.4494 19.8654i −1.81493 0.776207i
\(656\) 18.1775 + 9.01495i 0.709714 + 0.351975i
\(657\) 11.5299 11.5299i 0.449825 0.449825i
\(658\) 19.1111 + 10.6348i 0.745030 + 0.414587i
\(659\) 30.4355 + 30.4355i 1.18560 + 1.18560i 0.978272 + 0.207327i \(0.0664763\pi\)
0.207327 + 0.978272i \(0.433524\pi\)
\(660\) −7.52871 + 1.14604i −0.293055 + 0.0446097i
\(661\) −11.2208 + 11.2208i −0.436437 + 0.436437i −0.890811 0.454374i \(-0.849863\pi\)
0.454374 + 0.890811i \(0.349863\pi\)
\(662\) 10.8352 + 38.0240i 0.421124 + 1.47784i
\(663\) 5.13709 + 5.13709i 0.199508 + 0.199508i
\(664\) 0.369550 + 7.78992i 0.0143413 + 0.302308i
\(665\) −3.22560 8.04639i −0.125083 0.312026i
\(666\) −8.19379 + 14.7246i −0.317503 + 0.570565i
\(667\) −8.27109 −0.320258
\(668\) 22.3945 + 5.24817i 0.866469 + 0.203058i
\(669\) 0.920946 0.920946i 0.0356058 0.0356058i
\(670\) 5.44609 + 0.692835i 0.210401 + 0.0267665i
\(671\) 21.7757i 0.840640i
\(672\) 2.53465 13.7115i 0.0977761 0.528931i
\(673\) −29.2965 29.2965i −1.12930 1.12930i −0.990291 0.139006i \(-0.955609\pi\)
−0.139006 0.990291i \(-0.544391\pi\)
\(674\) −13.9825 + 3.98443i −0.538585 + 0.153474i
\(675\) 12.4925 11.9336i 0.480837 0.459325i
\(676\) 9.25326 + 14.9178i 0.355895 + 0.573760i
\(677\) 2.74511i 0.105503i −0.998608 0.0527516i \(-0.983201\pi\)
0.998608 0.0527516i \(-0.0167991\pi\)
\(678\) −0.290907 1.02088i −0.0111722 0.0392065i
\(679\) 20.0191i 0.768261i
\(680\) −12.7055 + 34.0924i −0.487233 + 1.30738i
\(681\) 9.60850i 0.368199i
\(682\) −8.89292 + 2.53411i −0.340528 + 0.0970362i
\(683\) 33.0796i 1.26576i −0.774251 0.632878i \(-0.781873\pi\)
0.774251 0.632878i \(-0.218127\pi\)
\(684\) −1.15667 + 4.93565i −0.0442265 + 0.188719i
\(685\) −1.60936 + 3.76301i −0.0614905 + 0.143777i
\(686\) 3.24401 + 11.3841i 0.123857 + 0.434648i
\(687\) 5.98647 + 5.98647i 0.228398 + 0.228398i
\(688\) 3.04510 + 1.51018i 0.116093 + 0.0575752i
\(689\) 10.6364i 0.405214i
\(690\) −10.7574 + 8.32926i −0.409527 + 0.317090i
\(691\) −30.8216 + 30.8216i −1.17251 + 1.17251i −0.190899 + 0.981610i \(0.561140\pi\)
−0.981610 + 0.190899i \(0.938860\pi\)
\(692\) −11.6717 + 7.23976i −0.443690 + 0.275214i
\(693\) −29.1428 −1.10704
\(694\) 28.9994 + 16.1373i 1.10080 + 0.612563i
\(695\) 25.0458 + 10.7116i 0.950043 + 0.406314i
\(696\) −1.51939 1.38176i −0.0575923 0.0523755i
\(697\) 20.6338 + 20.6338i 0.781561 + 0.781561i
\(698\) −44.6407 + 12.7207i −1.68967 + 0.481487i
\(699\) −0.312890 + 0.312890i −0.0118346 + 0.0118346i
\(700\) −34.5587 + 20.3565i −1.30619 + 0.769405i
\(701\) −22.1242 22.1242i −0.835619 0.835619i 0.152660 0.988279i \(-0.451216\pi\)
−0.988279 + 0.152660i \(0.951216\pi\)
\(702\) 4.88267 8.77436i 0.184285 0.331167i
\(703\) 3.10562 3.10562i 0.117131 0.117131i
\(704\) −17.0877 14.1200i −0.644015 0.532168i
\(705\) 2.08358 4.87183i 0.0784723 0.183484i
\(706\) 7.30177 + 25.6240i 0.274806 + 0.964371i
\(707\) 41.9440i 1.57747i
\(708\) −7.04595 1.65122i −0.264803 0.0620568i
\(709\) 7.09244 + 7.09244i 0.266362 + 0.266362i 0.827632 0.561270i \(-0.189687\pi\)
−0.561270 + 0.827632i \(0.689687\pi\)
\(710\) 0.931951 7.32569i 0.0349755 0.274928i
\(711\) −36.9726 −1.38658
\(712\) −1.56073 32.8995i −0.0584910 1.23296i
\(713\) −11.6812 + 11.6812i −0.437466 + 0.437466i
\(714\) 9.75103 17.5230i 0.364923 0.655782i
\(715\) 11.7062 + 5.00651i 0.437788 + 0.187233i
\(716\) 10.1397 43.2671i 0.378938 1.61697i
\(717\) −5.03628 −0.188083
\(718\) −18.5603 + 33.3535i −0.692663 + 1.24474i
\(719\) −30.2949 −1.12981 −0.564905 0.825156i \(-0.691087\pi\)
−0.564905 + 0.825156i \(0.691087\pi\)
\(720\) 23.3812 + 1.85410i 0.871367 + 0.0690984i
\(721\) 21.1349 0.787104
\(722\) −12.4232 + 22.3250i −0.462343 + 0.830849i
\(723\) 3.48320 0.129542
\(724\) −38.3090 8.97776i −1.42374 0.333656i
\(725\) −0.135136 + 5.90590i −0.00501883 + 0.219340i
\(726\) −1.40413 + 2.52327i −0.0521120 + 0.0936473i
\(727\) 15.9503 15.9503i 0.591566 0.591566i −0.346489 0.938054i \(-0.612626\pi\)
0.938054 + 0.346489i \(0.112626\pi\)
\(728\) −15.6844 + 17.2466i −0.581301 + 0.639201i
\(729\) −8.69055 −0.321872
\(730\) 12.0382 + 15.5476i 0.445555 + 0.575443i
\(731\) 3.45657 + 3.45657i 0.127846 + 0.127846i
\(732\) −2.20402 + 9.40479i −0.0814630 + 0.347611i
\(733\) 35.8535i 1.32428i 0.749380 + 0.662140i \(0.230352\pi\)
−0.749380 + 0.662140i \(0.769648\pi\)
\(734\) −10.6746 37.4603i −0.394008 1.38269i
\(735\) 11.5907 4.64642i 0.427529 0.171386i
\(736\) −38.9414 7.19856i −1.43540 0.265342i
\(737\) −3.40147 + 3.40147i −0.125295 + 0.125295i
\(738\) 9.14720 16.4379i 0.336713 0.605087i
\(739\) 21.4532 + 21.4532i 0.789168 + 0.789168i 0.981358 0.192190i \(-0.0615590\pi\)
−0.192190 + 0.981358i \(0.561559\pi\)
\(740\) −16.3676 12.0429i −0.601685 0.442705i
\(741\) −0.863157 + 0.863157i −0.0317089 + 0.0317089i
\(742\) −28.2355 + 8.04595i −1.03656 + 0.295376i
\(743\) 13.0311 + 13.0311i 0.478063 + 0.478063i 0.904512 0.426449i \(-0.140235\pi\)
−0.426449 + 0.904512i \(0.640235\pi\)
\(744\) −4.09729 + 0.194374i −0.150214 + 0.00712608i
\(745\) −0.100242 + 0.234385i −0.00367258 + 0.00858722i
\(746\) −6.01903 3.34941i −0.220372 0.122631i
\(747\) 7.23036 0.264545
\(748\) −16.8040 27.0909i −0.614417 0.990540i
\(749\) 46.6836 46.6836i 1.70578 1.70578i
\(750\) 5.77168 + 7.81732i 0.210752 + 0.285448i
\(751\) 22.4879i 0.820595i 0.911952 + 0.410297i \(0.134575\pi\)
−0.911952 + 0.410297i \(0.865425\pi\)
\(752\) 14.6158 4.92483i 0.532983 0.179590i
\(753\) 9.06387 + 9.06387i 0.330306 + 0.330306i
\(754\) 0.940956 + 3.30208i 0.0342676 + 0.120255i
\(755\) −2.70571 6.74952i −0.0984710 0.245640i
\(756\) −26.9861 6.32421i −0.981474 0.230009i
\(757\) 15.8781i 0.577100i −0.957465 0.288550i \(-0.906827\pi\)
0.957465 0.288550i \(-0.0931731\pi\)
\(758\) 4.89418 1.39464i 0.177764 0.0506555i
\(759\) 11.9210i 0.432705i
\(760\) −5.72835 2.13483i −0.207789 0.0774385i
\(761\) 19.5227i 0.707696i −0.935303 0.353848i \(-0.884873\pi\)
0.935303 0.353848i \(-0.115127\pi\)
\(762\) 3.97287 + 13.9419i 0.143922 + 0.505062i
\(763\) 72.9184i 2.63982i
\(764\) 17.5725 10.8999i 0.635750 0.394346i
\(765\) 31.0142 + 13.2641i 1.12132 + 0.479566i
\(766\) 0.371680 0.105913i 0.0134293 0.00382680i
\(767\) 8.55524 + 8.55524i 0.308912 + 0.308912i
\(768\) −5.95091 7.82788i −0.214735 0.282464i
\(769\) 8.03843i 0.289873i 0.989441 + 0.144937i \(0.0462978\pi\)
−0.989441 + 0.144937i \(0.953702\pi\)
\(770\) 4.43512 34.8627i 0.159831 1.25636i
\(771\) 2.21946 2.21946i 0.0799320 0.0799320i
\(772\) −8.52392 + 36.3725i −0.306783 + 1.30907i
\(773\) 40.5118 1.45711 0.728554 0.684988i \(-0.240193\pi\)
0.728554 + 0.684988i \(0.240193\pi\)
\(774\) 1.53234 2.75367i 0.0550787 0.0989787i
\(775\) 8.15005 + 8.53175i 0.292758 + 0.306470i
\(776\) 10.4443 + 9.49821i 0.374928 + 0.340966i
\(777\) 7.91977 + 7.91977i 0.284120 + 0.284120i
\(778\) 1.10457 + 3.87625i 0.0396008 + 0.138970i
\(779\) −3.46698 + 3.46698i −0.124217 + 0.124217i
\(780\) 4.54912 + 3.34713i 0.162885 + 0.119846i
\(781\) 4.57542 + 4.57542i 0.163721 + 0.163721i
\(782\) −49.7664 27.6935i −1.77964 0.990319i
\(783\) −2.88668 + 2.88668i −0.103161 + 0.103161i
\(784\) 32.5630 + 16.1493i 1.16296 + 0.576760i
\(785\) −7.54352 18.8176i −0.269240 0.671631i
\(786\) 18.8843 5.38124i 0.673581 0.191943i
\(787\) 15.8333i 0.564396i −0.959356 0.282198i \(-0.908937\pi\)
0.959356 0.282198i \(-0.0910635\pi\)
\(788\) 25.9081 16.0704i 0.922938 0.572484i
\(789\) −4.17930 4.17930i −0.148787 0.148787i
\(790\) 5.62671 44.2293i 0.200189 1.57361i
\(791\) 4.89868 0.174177
\(792\) −13.8270 + 15.2043i −0.491323 + 0.540260i
\(793\) 11.4194 11.4194i 0.405513 0.405513i
\(794\) 26.6318 + 14.8198i 0.945128 + 0.525936i
\(795\) 2.64667 + 6.60224i 0.0938678 + 0.234157i
\(796\) 8.47688 5.25808i 0.300455 0.186368i
\(797\) −10.2670 −0.363674 −0.181837 0.983329i \(-0.558204\pi\)
−0.181837 + 0.983329i \(0.558204\pi\)
\(798\) 2.94429 + 1.63841i 0.104227 + 0.0579991i
\(799\) 22.1811 0.784710
\(800\) −5.77631 + 27.6882i −0.204223 + 0.978924i
\(801\) −30.5362 −1.07895
\(802\) 12.8476 + 7.14932i 0.453665 + 0.252451i
\(803\) −17.2293 −0.608010
\(804\) −1.81336 + 1.12480i −0.0639522 + 0.0396686i
\(805\) −23.3616 58.2766i −0.823388 2.05398i
\(806\) 5.99244 + 3.33462i 0.211075 + 0.117457i
\(807\) 0.737538 0.737538i 0.0259626 0.0259626i
\(808\) −21.8829 19.9007i −0.769837 0.700104i
\(809\) 9.16442 0.322204 0.161102 0.986938i \(-0.448495\pi\)
0.161102 + 0.986938i \(0.448495\pi\)
\(810\) 2.29208 18.0171i 0.0805355 0.633057i
\(811\) −22.1702 22.1702i −0.778502 0.778502i 0.201074 0.979576i \(-0.435557\pi\)
−0.979576 + 0.201074i \(0.935557\pi\)
\(812\) 8.05397 4.99575i 0.282639 0.175317i
\(813\) 1.71827i 0.0602625i
\(814\) 17.1236 4.87952i 0.600183 0.171027i
\(815\) 3.27245 + 8.16326i 0.114629 + 0.285947i
\(816\) −4.51558 13.4012i −0.158077 0.469136i
\(817\) −0.580788 + 0.580788i −0.0203192 + 0.0203192i
\(818\) −0.408707 0.227433i −0.0142901 0.00795202i
\(819\) 15.2827 + 15.2827i 0.534022 + 0.534022i
\(820\) 18.2721 + 13.4442i 0.638090 + 0.469490i
\(821\) 13.3258 13.3258i 0.465074 0.465074i −0.435240 0.900314i \(-0.643337\pi\)
0.900314 + 0.435240i \(0.143337\pi\)
\(822\) −0.435951 1.52988i −0.0152055 0.0533606i
\(823\) −34.7796 34.7796i −1.21234 1.21234i −0.970255 0.242084i \(-0.922169\pi\)
−0.242084 0.970255i \(-0.577831\pi\)
\(824\) 10.0276 11.0264i 0.349329 0.384123i
\(825\) −8.51209 0.194769i −0.296353 0.00678100i
\(826\) 16.2392 29.1825i 0.565035 1.01539i
\(827\) 16.5717 0.576253 0.288127 0.957592i \(-0.406968\pi\)
0.288127 + 0.957592i \(0.406968\pi\)
\(828\) −8.37729 + 35.7468i −0.291131 + 1.24229i
\(829\) 11.9869 11.9869i 0.416321 0.416321i −0.467613 0.883933i \(-0.654886\pi\)
0.883933 + 0.467613i \(0.154886\pi\)
\(830\) −1.10036 + 8.64948i −0.0381941 + 0.300228i
\(831\) 8.48807i 0.294448i
\(832\) 1.55625 + 16.3656i 0.0539534 + 0.567374i
\(833\) 36.9631 + 36.9631i 1.28070 + 1.28070i
\(834\) −10.1826 + 2.90160i −0.352593 + 0.100474i
\(835\) 23.6445 + 10.1123i 0.818252 + 0.349949i
\(836\) 4.55192 2.82349i 0.157432 0.0976524i
\(837\) 8.15370i 0.281833i
\(838\) −3.67968 12.9130i −0.127112 0.446073i
\(839\) 4.44215i 0.153360i −0.997056 0.0766800i \(-0.975568\pi\)
0.997056 0.0766800i \(-0.0244320\pi\)
\(840\) 5.44413 14.6081i 0.187840 0.504028i
\(841\) 27.6041i 0.951865i
\(842\) −5.76704 + 1.64337i −0.198745 + 0.0566341i
\(843\) 4.43543i 0.152764i
\(844\) 28.5854 + 6.69902i 0.983951 + 0.230590i
\(845\) 7.30287 + 18.2173i 0.251226 + 0.626695i
\(846\) −3.91870 13.7518i −0.134728 0.472797i
\(847\) −9.42281 9.42281i −0.323772 0.323772i
\(848\) −9.19888 + 18.5484i −0.315891 + 0.636955i
\(849\) 15.5478i 0.533599i
\(850\) −20.5874 + 35.0828i −0.706144 + 1.20333i
\(851\) 22.4926 22.4926i 0.771038 0.771038i
\(852\) 1.51300 + 2.43920i 0.0518344 + 0.0835655i
\(853\) 35.6748 1.22148 0.610742 0.791830i \(-0.290871\pi\)
0.610742 + 0.791830i \(0.290871\pi\)
\(854\) −38.9522 21.6758i −1.33292 0.741730i
\(855\) −2.22870 + 5.21114i −0.0762199 + 0.178217i
\(856\) −2.20618 46.5050i −0.0754056 1.58951i
\(857\) 13.8568 + 13.8568i 0.473340 + 0.473340i 0.902994 0.429654i \(-0.141364\pi\)
−0.429654 + 0.902994i \(0.641364\pi\)
\(858\) −4.75924 + 1.35619i −0.162478 + 0.0462994i
\(859\) 19.4217 19.4217i 0.662660 0.662660i −0.293346 0.956006i \(-0.594769\pi\)
0.956006 + 0.293346i \(0.0947690\pi\)
\(860\) 3.06094 + 2.25216i 0.104377 + 0.0767981i
\(861\) −8.84130 8.84130i −0.301311 0.301311i
\(862\) −13.7223 + 24.6595i −0.467383 + 0.839906i
\(863\) −9.22041 + 9.22041i −0.313866 + 0.313866i −0.846405 0.532539i \(-0.821238\pi\)
0.532539 + 0.846405i \(0.321238\pi\)
\(864\) −16.1032 + 11.0785i −0.547842 + 0.376898i
\(865\) −14.2532 + 5.71377i −0.484625 + 0.194274i
\(866\) 8.87428 + 31.1424i 0.301560 + 1.05826i
\(867\) 9.89018i 0.335888i
\(868\) 4.31911 18.4301i 0.146600 0.625559i
\(869\) 27.6244 + 27.6244i 0.937093 + 0.937093i
\(870\) −1.40574 1.81554i −0.0476589 0.0615524i
\(871\) 3.56753 0.120881
\(872\) 38.0427 + 34.5968i 1.28829 + 1.17159i
\(873\) 9.25500 9.25500i 0.313234 0.313234i
\(874\) 4.65319 8.36197i 0.157396 0.282848i
\(875\) −41.9936 + 15.7290i −1.41964 + 0.531738i
\(876\) −7.44125 1.74386i −0.251417 0.0589197i
\(877\) 10.4267 0.352084 0.176042 0.984383i \(-0.443670\pi\)
0.176042 + 0.984383i \(0.443670\pi\)
\(878\) −20.1991 + 36.2986i −0.681686 + 1.22502i
\(879\) −8.68236 −0.292849
\(880\) −16.0842 18.8548i −0.542197 0.635595i
\(881\) −12.7405 −0.429239 −0.214619 0.976698i \(-0.568851\pi\)
−0.214619 + 0.976698i \(0.568851\pi\)
\(882\) 16.3862 29.4466i 0.551751 0.991519i
\(883\) 27.9073 0.939156 0.469578 0.882891i \(-0.344406\pi\)
0.469578 + 0.882891i \(0.344406\pi\)
\(884\) −5.39449 + 23.0189i −0.181437 + 0.774209i
\(885\) −7.43924 3.18161i −0.250067 0.106949i
\(886\) −13.6648 + 24.5563i −0.459079 + 0.824984i
\(887\) 41.7449 41.7449i 1.40166 1.40166i 0.606811 0.794846i \(-0.292448\pi\)
0.794846 0.606811i \(-0.207552\pi\)
\(888\) 7.88948 0.374273i 0.264754 0.0125598i
\(889\) −66.9004 −2.24377
\(890\) 4.64719 36.5297i 0.155774 1.22448i
\(891\) 11.2530 + 11.2530i 0.376989 + 0.376989i
\(892\) 4.12668 + 0.967091i 0.138171 + 0.0323806i
\(893\) 3.72696i 0.124718i
\(894\) −0.0271540 0.0952910i −0.000908164 0.00318701i
\(895\) 19.5373 45.6822i 0.653061 1.52699i
\(896\) 42.2671 16.5111i 1.41204 0.551597i
\(897\) −6.25148 + 6.25148i −0.208731 + 0.208731i
\(898\) 11.5237 20.7086i 0.384551 0.691053i
\(899\) −1.97145 1.97145i −0.0657516 0.0657516i
\(900\) 25.3878 + 6.56578i 0.846260 + 0.218859i
\(901\) −21.0548 + 21.0548i −0.701437 + 0.701437i
\(902\) −19.1161 + 5.44729i −0.636496 + 0.181375i
\(903\) −1.48109 1.48109i −0.0492877 0.0492877i
\(904\) 2.32422 2.55572i 0.0773024 0.0850021i
\(905\) −40.4474 17.2985i −1.34452 0.575022i
\(906\) 2.46975 + 1.37434i 0.0820519 + 0.0456595i
\(907\) 26.7614 0.888597 0.444298 0.895879i \(-0.353453\pi\)
0.444298 + 0.895879i \(0.353453\pi\)
\(908\) −26.5724 + 16.4825i −0.881836 + 0.546990i
\(909\) −19.3911 + 19.3911i −0.643163 + 0.643163i
\(910\) −20.6081 + 15.9565i −0.683153 + 0.528953i
\(911\) 19.2403i 0.637459i 0.947846 + 0.318729i \(0.103256\pi\)
−0.947846 + 0.318729i \(0.896744\pi\)
\(912\) 2.25173 0.758727i 0.0745622 0.0251240i
\(913\) −5.40222 5.40222i −0.178787 0.178787i
\(914\) −2.74195 9.62229i −0.0906957 0.318277i
\(915\) −4.24675 + 9.92975i −0.140393 + 0.328267i
\(916\) −6.28643 + 26.8249i −0.207709 + 0.886318i
\(917\) 90.6165i 2.99242i
\(918\) −27.0342 + 7.70361i −0.892260 + 0.254257i
\(919\) 42.6903i 1.40822i −0.710090 0.704111i \(-0.751346\pi\)
0.710090 0.704111i \(-0.248654\pi\)
\(920\) −41.4879 15.4617i −1.36782 0.509756i
\(921\) 13.8942i 0.457828i
\(922\) −1.48819 5.22246i −0.0490108 0.171993i
\(923\) 4.79878i 0.157954i
\(924\) 7.20030 + 11.6081i 0.236873 + 0.381877i
\(925\) −15.6932 16.4282i −0.515989 0.540155i
\(926\) 17.6677 5.03456i 0.580597 0.165446i
\(927\) −9.77085 9.77085i −0.320917 0.320917i
\(928\) 1.21491 6.57217i 0.0398812 0.215742i
\(929\) 5.58037i 0.183086i −0.995801 0.0915430i \(-0.970820\pi\)
0.995801 0.0915430i \(-0.0291799\pi\)
\(930\) −4.54940 0.578760i −0.149181 0.0189783i
\(931\) −6.21070 + 6.21070i −0.203548 + 0.203548i
\(932\) −1.40203 0.328567i −0.0459251 0.0107626i
\(933\) −6.63132 −0.217100
\(934\) 0.731714 1.31492i 0.0239424 0.0430255i
\(935\) −13.2621 33.0829i −0.433717 1.08193i
\(936\) 15.2243 0.722233i 0.497621 0.0236069i
\(937\) −41.0680 41.0680i −1.34163 1.34163i −0.894435 0.447197i \(-0.852422\pi\)
−0.447197 0.894435i \(-0.647578\pi\)
\(938\) −2.69867 9.47042i −0.0881149 0.309220i
\(939\) −12.7118 + 12.7118i −0.414834 + 0.414834i
\(940\) 17.0473 2.59499i 0.556021 0.0846394i
\(941\) −31.5476 31.5476i −1.02842 1.02842i −0.999584 0.0288377i \(-0.990819\pi\)
−0.0288377 0.999584i \(-0.509181\pi\)
\(942\) 6.88565 + 3.83166i 0.224347 + 0.124842i
\(943\) −25.1098 + 25.1098i −0.817689 + 0.817689i
\(944\) −7.52017 22.3182i −0.244761 0.726394i
\(945\) −28.4924 12.1856i −0.926857 0.396398i
\(946\) −3.20232 + 0.912529i −0.104117 + 0.0296689i
\(947\) 34.7892i 1.13050i 0.824921 + 0.565248i \(0.191220\pi\)
−0.824921 + 0.565248i \(0.808780\pi\)
\(948\) 9.13482 + 14.7268i 0.296685 + 0.478305i
\(949\) 9.03522 + 9.03522i 0.293296 + 0.293296i
\(950\) −5.89477 3.45919i −0.191252 0.112231i
\(951\) 14.6394 0.474715
\(952\) 65.1870 3.09244i 2.11272 0.100227i
\(953\) −26.7047 + 26.7047i −0.865050 + 0.865050i −0.991919 0.126870i \(-0.959507\pi\)
0.126870 + 0.991919i \(0.459507\pi\)
\(954\) 16.7733 + 9.33383i 0.543055 + 0.302194i
\(955\) 21.4592 8.60247i 0.694405 0.278369i
\(956\) −8.63926 13.9279i −0.279413 0.450460i
\(957\) 2.01191 0.0650360
\(958\) 19.6064 + 10.9104i 0.633453 + 0.352498i
\(959\) 7.34112 0.237057
\(960\) −5.03828 9.77123i −0.162610 0.315365i
\(961\) 25.4314 0.820369
\(962\) −11.5386 6.42092i −0.372021 0.207019i
\(963\) −43.1645 −1.39096
\(964\) 5.97510 + 9.63284i 0.192445 + 0.310253i
\(965\) −16.4241 + 38.4027i −0.528709 + 1.23623i
\(966\) 21.3242 + 11.8663i 0.686096 + 0.381792i
\(967\) −12.8711 + 12.8711i −0.413906 + 0.413906i −0.883097 0.469191i \(-0.844546\pi\)
0.469191 + 0.883097i \(0.344546\pi\)
\(968\) −9.38677 + 0.445304i −0.301702 + 0.0143126i
\(969\) 3.41725 0.109778
\(970\) 9.66302 + 12.4800i 0.310261 + 0.400708i
\(971\) −23.9028 23.9028i −0.767078 0.767078i 0.210513 0.977591i \(-0.432487\pi\)
−0.977591 + 0.210513i \(0.932487\pi\)
\(972\) 14.6491 + 23.6167i 0.469870 + 0.757507i
\(973\) 48.8610i 1.56641i
\(974\) 26.5332 7.56087i 0.850179 0.242266i
\(975\) 4.36168 + 4.56595i 0.139685 + 0.146228i
\(976\) −29.7898 + 10.0378i −0.953549 + 0.321301i
\(977\) 2.71449 2.71449i 0.0868441 0.0868441i −0.662350 0.749194i \(-0.730441\pi\)
0.749194 + 0.662350i \(0.230441\pi\)
\(978\) −2.98705 1.66221i −0.0955155 0.0531515i
\(979\) 22.8154 + 22.8154i 0.729183 + 0.729183i
\(980\) 32.7324 + 24.0837i 1.04560 + 0.769325i
\(981\) 33.7109 33.7109i 1.07630 1.07630i
\(982\) −10.6589 37.4053i −0.340141 1.19365i
\(983\) −13.7542 13.7542i −0.438692 0.438692i 0.452880 0.891572i \(-0.350397\pi\)
−0.891572 + 0.452880i \(0.850397\pi\)
\(984\) −8.80748 + 0.417823i −0.280772 + 0.0133197i
\(985\) 31.6386 12.6831i 1.00809 0.404117i
\(986\) 4.67386 8.39911i 0.148846 0.267482i
\(987\) −9.50428 −0.302525
\(988\) −3.86773 0.906407i −0.123049 0.0288366i
\(989\) −4.20640 + 4.20640i −0.133756 + 0.133756i
\(990\) −18.1678 + 14.0670i −0.577409 + 0.447077i
\(991\) 26.5971i 0.844883i 0.906390 + 0.422442i \(0.138827\pi\)
−0.906390 + 0.422442i \(0.861173\pi\)
\(992\) −7.56605 10.9977i −0.240222 0.349177i
\(993\) −12.1492 12.1492i −0.385545 0.385545i
\(994\) −12.7389 + 3.63006i −0.404054 + 0.115139i
\(995\) 10.3518 4.14979i 0.328175 0.131557i
\(996\) −1.78640 2.87998i −0.0566044 0.0912555i
\(997\) 25.4590i 0.806295i 0.915135 + 0.403148i \(0.132084\pi\)
−0.915135 + 0.403148i \(0.867916\pi\)
\(998\) 12.6140 + 44.2661i 0.399289 + 1.40122i
\(999\) 15.7002i 0.496733i
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 80.2.s.b.3.3 yes 18
3.2 odd 2 720.2.z.g.163.7 18
4.3 odd 2 320.2.s.b.303.5 18
5.2 odd 4 80.2.j.b.67.7 yes 18
5.3 odd 4 400.2.j.d.307.3 18
5.4 even 2 400.2.s.d.243.7 18
8.3 odd 2 640.2.s.c.223.5 18
8.5 even 2 640.2.s.d.223.5 18
15.2 even 4 720.2.bd.g.307.3 18
16.3 odd 4 640.2.j.d.543.5 18
16.5 even 4 320.2.j.b.143.5 18
16.11 odd 4 80.2.j.b.43.7 18
16.13 even 4 640.2.j.c.543.5 18
20.3 even 4 1600.2.j.d.1007.5 18
20.7 even 4 320.2.j.b.47.5 18
20.19 odd 2 1600.2.s.d.943.5 18
40.27 even 4 640.2.j.c.607.5 18
40.37 odd 4 640.2.j.d.607.5 18
48.11 even 4 720.2.bd.g.523.3 18
80.27 even 4 inner 80.2.s.b.27.3 yes 18
80.37 odd 4 320.2.s.b.207.5 18
80.43 even 4 400.2.s.d.107.7 18
80.53 odd 4 1600.2.s.d.207.5 18
80.59 odd 4 400.2.j.d.43.3 18
80.67 even 4 640.2.s.d.287.5 18
80.69 even 4 1600.2.j.d.143.5 18
80.77 odd 4 640.2.s.c.287.5 18
240.107 odd 4 720.2.z.g.667.7 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
80.2.j.b.43.7 18 16.11 odd 4
80.2.j.b.67.7 yes 18 5.2 odd 4
80.2.s.b.3.3 yes 18 1.1 even 1 trivial
80.2.s.b.27.3 yes 18 80.27 even 4 inner
320.2.j.b.47.5 18 20.7 even 4
320.2.j.b.143.5 18 16.5 even 4
320.2.s.b.207.5 18 80.37 odd 4
320.2.s.b.303.5 18 4.3 odd 2
400.2.j.d.43.3 18 80.59 odd 4
400.2.j.d.307.3 18 5.3 odd 4
400.2.s.d.107.7 18 80.43 even 4
400.2.s.d.243.7 18 5.4 even 2
640.2.j.c.543.5 18 16.13 even 4
640.2.j.c.607.5 18 40.27 even 4
640.2.j.d.543.5 18 16.3 odd 4
640.2.j.d.607.5 18 40.37 odd 4
640.2.s.c.223.5 18 8.3 odd 2
640.2.s.c.287.5 18 80.77 odd 4
640.2.s.d.223.5 18 8.5 even 2
640.2.s.d.287.5 18 80.67 even 4
720.2.z.g.163.7 18 3.2 odd 2
720.2.z.g.667.7 18 240.107 odd 4
720.2.bd.g.307.3 18 15.2 even 4
720.2.bd.g.523.3 18 48.11 even 4
1600.2.j.d.143.5 18 80.69 even 4
1600.2.j.d.1007.5 18 20.3 even 4
1600.2.s.d.207.5 18 80.53 odd 4
1600.2.s.d.943.5 18 20.19 odd 2