LMFDB - Embedded newform 462.2.w.a.281.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			281.6
Character	$\chi$	$=$	462.281
Dual form			462.2.w.a.365.6

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(-0.00451770 + 1.73204i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.27054 + 0.412823i) q^{5} +(-1.64867 + 0.530935i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.99996 - 0.0156497i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(-0.00451770 + 1.73204i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.27054 + 0.412823i) q^{5} +(-1.64867 + 0.530935i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.99996 - 0.0156497i) q^{9} +1.33592i q^{10} +(-1.31245 + 3.04590i) q^{11} +(-1.01442 - 1.40391i) q^{12} +(1.24984 - 0.406097i) q^{13} +(-0.587785 + 0.809017i) q^{14} +(-0.720767 + 2.19876i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-1.37052 + 4.21804i) q^{17} +(-0.912155 - 2.85797i) q^{18} +(1.08219 - 1.48951i) q^{19} +(-1.27054 + 0.412823i) q^{20} +(-1.40391 + 1.01442i) q^{21} +(-3.30239 - 0.306978i) q^{22} +1.58577i q^{23} +(1.02173 - 1.39860i) q^{24} +(-2.60124 - 1.88991i) q^{25} +(0.772442 + 1.06318i) q^{26} +(0.0406589 - 5.19599i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(4.69359 - 3.41010i) q^{29} +(-2.31388 - 0.00603529i) q^{30} +(0.679831 + 2.09231i) q^{31} +1.00000 q^{32} +(-5.26970 - 2.28698i) q^{33} -4.43511 q^{34} +(0.412823 + 1.27054i) q^{35} +(2.43622 - 1.75067i) q^{36} +(3.94038 - 2.86286i) q^{37} +(1.75103 + 0.568943i) q^{38} +(0.697732 + 2.16661i) q^{39} +(-0.785235 - 1.08078i) q^{40} +(-7.50793 - 5.45483i) q^{41} +(-1.39860 - 1.02173i) q^{42} +12.2657i q^{43} +(-0.728540 - 3.23562i) q^{44} +(-3.80510 - 1.25833i) q^{45} +(-1.50816 + 0.490031i) q^{46} +(4.02179 - 5.53552i) q^{47} +(1.64588 + 0.539528i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(0.993586 - 3.05794i) q^{50} +(-7.29965 - 2.39287i) q^{51} +(-0.772442 + 1.06318i) q^{52} +(2.55936 - 0.831586i) q^{53} +(4.95425 - 1.56698i) q^{54} +(-2.92493 + 3.32812i) q^{55} -1.00000i q^{56} +(2.57501 + 1.88114i) q^{57} +(4.69359 + 3.41010i) q^{58} +(3.27016 + 4.50099i) q^{59} +(-0.709287 - 2.20249i) q^{60} +(0.947855 + 0.307977i) q^{61} +(-1.77982 + 1.29312i) q^{62} +(-1.75067 - 2.43622i) q^{63} +(0.309017 + 0.951057i) q^{64} +1.75561 q^{65} +(0.546619 - 5.71850i) q^{66} +10.1583 q^{67} +(-1.37052 - 4.21804i) q^{68} +(-2.74663 - 0.00716404i) q^{69} +(-1.08078 + 0.785235i) q^{70} +(9.29051 + 3.01867i) q^{71} +(2.41782 + 1.77599i) q^{72} +(1.19001 + 1.63791i) q^{73} +(3.94038 + 2.86286i) q^{74} +(3.28517 - 4.49693i) q^{75} +1.84114i q^{76} +(-3.23562 + 0.728540i) q^{77} +(-1.84496 + 1.33310i) q^{78} +(2.31041 - 0.750697i) q^{79} +(0.785235 - 1.08078i) q^{80} +(8.99951 + 0.0938970i) q^{81} +(2.86778 - 8.82611i) q^{82} +(0.895147 - 2.75498i) q^{83} +(0.539528 - 1.64588i) q^{84} +(-3.48261 + 4.79340i) q^{85} +(-11.6654 + 3.79030i) q^{86} +(5.88524 + 8.14492i) q^{87} +(2.85213 - 1.69274i) q^{88} +4.50189i q^{89} +(0.0209068 - 4.00771i) q^{90} +(1.06318 + 0.772442i) q^{91} +(-0.932094 - 1.28292i) q^{92} +(-3.62704 + 1.16805i) q^{93} +(6.50739 + 2.11438i) q^{94} +(1.98987 - 1.44573i) q^{95} +(-0.00451770 + 1.73204i) q^{96} +(1.67720 + 5.16190i) q^{97} -1.00000 q^{98} +(3.98496 - 9.11702i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{9}{10}\right)$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	−0.00451770	+	1.73204i	−0.00260829	+	0.999997i
$3$	−0.00451770	+	1.73204i	−0.00260829	+	0.999997i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	1.27054	+	0.412823i	0.568202	+	0.184620i	0.579008	−	0.815322i	$-0.303440\pi$
$5$	1.27054	+	0.412823i	0.568202	+	0.184620i	−0.0108066	+	0.999942i	$0.503440\pi$
$6$	−1.64867	+	0.530935i	−0.673066	+	0.216753i
$7$	0.587785	+	0.809017i	0.222162	+	0.305780i
$7$	0.587785	+	0.809017i	0.222162	+	0.305780i
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	−2.99996	−	0.0156497i	−0.999986	−	0.00521657i
$10$			1.33592i			0.422456i
$11$	−1.31245	+	3.04590i	−0.395718	+	0.918372i
$11$	−1.31245	+	3.04590i	−0.395718	+	0.918372i
$12$	−1.01442	−	1.40391i	−0.292837	−	0.405274i
$13$	1.24984	−	0.406097i	0.346643	−	0.112631i	−0.130521	−	0.991446i	$-0.541665\pi$
$13$	1.24984	−	0.406097i	0.346643	−	0.112631i	0.477163	+	0.878815i	$0.341665\pi$
$14$	−0.587785	+	0.809017i	−0.157092	+	0.216219i
$15$	−0.720767	+	2.19876i	−0.186101	+	0.567718i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−1.37052	+	4.21804i	−0.332401	+	1.02303i	0.635587	+	0.772029i	$0.280758\pi$
$17$	−1.37052	+	4.21804i	−0.332401	+	1.02303i	−0.967988	+	0.250996i	$0.919242\pi$
$18$	−0.912155	−	2.85797i	−0.214997	−	0.673629i
$19$	1.08219	−	1.48951i	0.248272	−	0.341717i	−0.666633	−	0.745386i	$-0.732265\pi$
$19$	1.08219	−	1.48951i	0.248272	−	0.341717i	0.914905	+	0.403669i	$0.132265\pi$
$20$	−1.27054	+	0.412823i	−0.284101	+	0.0923099i
$21$	−1.40391	+	1.01442i	−0.306358	+	0.221364i
$22$	−3.30239	−	0.306978i	−0.704071	−	0.0654480i
$23$			1.58577i			0.330657i	0.986239	+	0.165328i	$0.0528684\pi$
$23$			1.58577i			0.330657i	−0.986239	+	0.165328i	$0.947132\pi$
$24$	1.02173	−	1.39860i	0.208559	−	0.285488i
$25$	−2.60124	−	1.88991i	−0.520249	−	0.377983i
$26$	0.772442	+	1.06318i	0.151488	+	0.208506i
$27$	0.0406589	−	5.19599i	0.00782481	−	0.999969i
$28$	−0.951057	−	0.309017i	−0.179733	−	0.0583987i
$29$	4.69359	−	3.41010i	0.871579	−	0.633239i	−0.0594315	−	0.998232i	$-0.518929\pi$
$29$	4.69359	−	3.41010i	0.871579	−	0.633239i	0.931010	+	0.364993i	$0.118929\pi$
$30$	−2.31388	−	0.00603529i	−0.422454	−	0.00110189i
$31$	0.679831	+	2.09231i	0.122101	+	0.375789i	0.993362	−	0.115032i	$-0.0366969\pi$
$31$	0.679831	+	2.09231i	0.122101	+	0.375789i	−0.871261	+	0.490821i	$0.836697\pi$
$32$	1.00000			0.176777
$33$	−5.26970	−	2.28698i	−0.917337	−	0.398112i
$34$	−4.43511			−0.760615
$35$	0.412823	+	1.27054i	0.0697798	+	0.214760i
$36$	2.43622	−	1.75067i	0.406036	−	0.291778i
$37$	3.94038	−	2.86286i	0.647795	−	0.470651i	−0.214724	−	0.976675i	$-0.568885\pi$
$37$	3.94038	−	2.86286i	0.647795	−	0.470651i	0.862519	+	0.506024i	$0.168885\pi$
$38$	1.75103	+	0.568943i	0.284054	+	0.0922947i
$39$	0.697732	+	2.16661i	0.111726	+	0.346935i
$40$	−0.785235	−	1.08078i	−0.124157	−	0.170887i
$41$	−7.50793	−	5.45483i	−1.17254	−	0.851902i	−0.181231	−	0.983441i	$-0.558008\pi$
$41$	−7.50793	−	5.45483i	−1.17254	−	0.851902i	−0.991311	+	0.131539i	$0.958008\pi$
$42$	−1.39860	−	1.02173i	−0.215808	−	0.157656i
$43$			12.2657i			1.87050i	0.353990	+	0.935249i	$0.384825\pi$
$43$			12.2657i			1.87050i	−0.353990	+	0.935249i	$0.615175\pi$
$44$	−0.728540	−	3.23562i	−0.109832	−	0.487788i
$45$	−3.80510	−	1.25833i	−0.567231	−	0.187581i
$46$	−1.50816	+	0.490031i	−0.222366	+	0.0722511i
$47$	4.02179	−	5.53552i	0.586639	−	0.807439i	−0.407765	−	0.913087i	$-0.633692\pi$
$47$	4.02179	−	5.53552i	0.586639	−	0.807439i	0.994404	+	0.105648i	$0.0336917\pi$
$48$	1.64588	+	0.539528i	0.237562	+	0.0778741i
$49$	−0.309017	+	0.951057i	−0.0441453	+	0.135865i
$50$	0.993586	−	3.05794i	0.140514	−	0.432459i
$51$	−7.29965	−	2.39287i	−1.02215	−	0.335068i
$52$	−0.772442	+	1.06318i	−0.107118	+	0.147436i
$53$	2.55936	−	0.831586i	0.351555	−	0.114227i	−0.127916	−	0.991785i	$-0.540829\pi$
$53$	2.55936	−	0.831586i	0.351555	−	0.114227i	0.479471	+	0.877558i	$0.340829\pi$
$54$	4.95425	−	1.56698i	0.674188	−	0.213239i
$55$	−2.92493	+	3.32812i	−0.394397	+	0.448763i
$56$		−	1.00000i		−	0.133631i
$57$	2.57501	+	1.88114i	0.341069	+	0.249163i
$58$	4.69359	+	3.41010i	0.616299	+	0.447768i
$59$	3.27016	+	4.50099i	0.425738	+	0.585979i	0.966969	−	0.254896i	$-0.0820412\pi$
$59$	3.27016	+	4.50099i	0.425738	+	0.585979i	−0.541230	+	0.840875i	$0.682041\pi$
$60$	−0.709287	−	2.20249i	−0.0915686	−	0.284341i
$61$	0.947855	+	0.307977i	0.121360	+	0.0394324i	0.369068	−	0.929403i	$-0.379677\pi$
$61$	0.947855	+	0.307977i	0.121360	+	0.0394324i	−0.247707	+	0.968835i	$0.579677\pi$
$62$	−1.77982	+	1.29312i	−0.226038	+	0.164226i
$63$	−1.75067	−	2.43622i	−0.220564	−	0.306934i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	1.75561			0.217757
$66$	0.546619	−	5.71850i	0.0672842	−	0.703898i
$67$	10.1583			1.24103			0.620515	−	0.784195i	$-0.286924\pi$
$67$	10.1583			1.24103			0.620515	+	0.784195i	$0.286924\pi$
$68$	−1.37052	−	4.21804i	−0.166201	−	0.511513i
$69$	−2.74663	−	0.00716404i	−0.330655	−	0.000862450i
$70$	−1.08078	+	0.785235i	−0.129178	+	0.0938536i
$71$	9.29051	+	3.01867i	1.10258	+	0.358250i	0.803095	−	0.595851i	$-0.203185\pi$
$71$	9.29051	+	3.01867i	1.10258	+	0.358250i	0.299485	+	0.954101i	$0.403185\pi$
$72$	2.41782	+	1.77599i	0.284943	+	0.209303i
$73$	1.19001	+	1.63791i	0.139281	+	0.191703i	0.872959	−	0.487793i	$-0.162198\pi$
$73$	1.19001	+	1.63791i	0.139281	+	0.191703i	−0.733678	+	0.679497i	$0.762198\pi$
$74$	3.94038	+	2.86286i	0.458060	+	0.332800i
$75$	3.28517	−	4.49693i	0.379338	−	0.519261i
$76$			1.84114i			0.211193i
$77$	−3.23562	+	0.728540i	−0.368733	+	0.0830249i
$78$	−1.84496	+	1.33310i	−0.208900	+	0.150944i
$79$	2.31041	−	0.750697i	0.259941	−	0.0844600i	−0.176147	−	0.984364i	$-0.556364\pi$
$79$	2.31041	−	0.750697i	0.259941	−	0.0844600i	0.436088	+	0.899904i	$0.356364\pi$
$80$	0.785235	−	1.08078i	0.0877920	−	0.120835i
$81$	8.99951	+	0.0938970i	0.999946	+	0.0104330i
$82$	2.86778	−	8.82611i	0.316693	−	0.974680i
$83$	0.895147	−	2.75498i	0.0982551	−	0.302398i	−0.889833	−	0.456286i	$-0.849179\pi$
$83$	0.895147	−	2.75498i	0.0982551	−	0.302398i	0.988088	+	0.153888i	$0.0491794\pi$
$84$	0.539528	−	1.64588i	0.0588673	−	0.179580i
$85$	−3.48261	+	4.79340i	−0.377742	+	0.519917i
$86$	−11.6654	+	3.79030i	−1.25791	+	0.408719i
$87$	5.88524	+	8.14492i	0.630963	+	0.873227i
$88$	2.85213	−	1.69274i	0.304038	−	0.180447i
$89$			4.50189i			0.477199i	0.971118	+	0.238600i	$0.0766884\pi$
$89$			4.50189i			0.477199i	−0.971118	+	0.238600i	$0.923312\pi$
$90$	0.0209068	−	4.00771i	0.00220377	−	0.422450i
$91$	1.06318	+	0.772442i	0.111451	+	0.0809739i
$92$	−0.932094	−	1.28292i	−0.0971775	−	0.133753i
$93$	−3.62704	+	1.16805i	−0.376106	+	0.121121i
$94$	6.50739	+	2.11438i	0.671187	+	0.218082i
$95$	1.98987	−	1.44573i	0.204157	−	0.148328i
$96$	−0.00451770	+	1.73204i	−0.000461086	+	0.176776i
$97$	1.67720	+	5.16190i	0.170294	+	0.524112i	0.999387	−	0.0349987i	$-0.0111427\pi$
$97$	1.67720	+	5.16190i	0.170294	+	0.524112i	−0.829093	+	0.559111i	$0.811143\pi$
$98$	−1.00000			−0.101015
$99$	3.98496	−	9.11702i	0.400503	−	0.916295i
$100$	3.21531			0.321531
$101$	−2.54897	−	7.84493i	−0.253632	−	0.780600i	−0.994096	−	0.108504i	$-0.965394\pi$
$101$	−2.54897	−	7.84493i	−0.253632	−	0.780600i	0.740464	−	0.672096i	$-0.234606\pi$
$102$	0.0200365	−	7.68181i	0.00198391	−	0.760613i
$103$	0.470019	−	0.341489i	0.0463123	−	0.0336479i	−0.564388	−	0.825509i	$-0.690888\pi$
$103$	0.470019	−	0.341489i	0.0463123	−	0.0336479i	0.610701	+	0.791862i	$0.290888\pi$
$104$	−1.24984	−	0.406097i	−0.122557	−	0.0398211i
$105$	−2.20249	+	0.709287i	−0.214941	+	0.0692194i
$106$	1.58177	+	2.17712i	0.153635	+	0.211461i
$107$	4.78813	+	3.47878i	0.462886	+	0.336307i	0.794663	−	0.607051i	$-0.207648\pi$
$107$	4.78813	+	3.47878i	0.462886	+	0.336307i	−0.331776	+	0.943358i	$0.607648\pi$
$108$	3.02123	+	4.22755i	0.290718	+	0.406796i
$109$			17.6027i			1.68603i	0.537890	+	0.843015i	$0.319221\pi$
$109$			17.6027i			1.68603i	−0.537890	+	0.843015i	$0.680779\pi$
$110$	−4.06908	−	1.75333i	−0.387971	−	0.167173i
$111$	4.94080	+	6.83786i	0.468960	+	0.649021i
$112$	0.951057	−	0.309017i	0.0898664	−	0.0291994i
$113$	11.0857	−	15.2581i	1.04285	−	1.43537i	0.148011	−	0.988986i	$-0.452713\pi$
$113$	11.0857	−	15.2581i	1.04285	−	1.43537i	0.894843	−	0.446380i	$-0.147287\pi$
$114$	−0.993345	+	3.03029i	−0.0930353	+	0.283812i
$115$	−0.654643	+	2.01478i	−0.0610458	+	0.187880i
$116$	−1.79279	+	5.51765i	−0.166457	+	0.512301i
$117$	−3.75582	+	1.19871i	−0.347225	+	0.110821i
$118$	−3.27016	+	4.50099i	−0.301043	+	0.414349i
$119$	−4.21804	+	1.37052i	−0.386667	+	0.125636i
$120$	1.87551	−	1.35518i	0.171210	−	0.123710i
$121$	−7.55496	−	7.99516i	−0.686815	−	0.726832i
$122$			0.996634i			0.0902310i
$123$	9.48193	−	12.9794i	0.854957	−	1.17032i
$124$	−1.77982	−	1.29312i	−0.159833	−	0.116125i
$125$	−6.45095	−	8.87897i	−0.576991	−	0.794160i
$126$	1.77599	−	2.41782i	0.158218	−	0.215396i
$127$	16.2682	+	5.28586i	1.44357	+	0.469045i	0.923009	−	0.384779i	$-0.125722\pi$
$127$	16.2682	+	5.28586i	1.44357	+	0.469045i	0.520562	+	0.853824i	$0.325722\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	−21.2447	−	0.0554126i	−1.87049	−	0.00487881i
$130$	0.542514	+	1.66969i	0.0475816	+	0.146441i
$131$	−22.1270			−1.93324			−0.966620	−	0.256213i	$-0.917525\pi$
$131$	−22.1270			−1.93324			−0.966620	+	0.256213i	$0.917525\pi$
$132$	5.60753	−	1.24725i	0.488073	−	0.108559i
$133$	1.84114			0.159647
$134$	3.13908	+	9.66108i	0.271175	+	0.834590i
$135$	2.19668	−	6.58492i	0.189060	−	0.566740i
$136$	3.58808	−	2.60689i	0.307675	−	0.223539i
$137$	12.3495	+	4.01261i	1.05509	+	0.342820i	0.784665	−	0.619920i	$-0.212835\pi$
$137$	12.3495	+	4.01261i	1.05509	+	0.342820i	0.270427	+	0.962740i	$0.412835\pi$
$138$	−0.841942	−	2.61441i	−0.0716709	−	0.222554i
$139$	0.559645	+	0.770285i	0.0474685	+	0.0653347i	0.832091	−	0.554638i	$-0.187143\pi$
$139$	0.559645	+	0.770285i	0.0474685	+	0.0653347i	−0.784623	+	0.619973i	$0.787143\pi$
$140$	−1.08078	−	0.785235i	−0.0913429	−	0.0663645i
$141$	9.56960	+	6.99093i	0.805906	+	0.588743i
$142$			9.76862i			0.819764i
$143$	−0.403418	+	4.33986i	−0.0337355	+	0.362917i
$144$	−0.941922	+	2.84829i	−0.0784935	+	0.237358i
$145$	7.37115	−	2.39503i	0.612141	−	0.198897i
$146$	−1.19001	+	1.63791i	−0.0984863	+	0.135555i
$147$	−1.64588	−	0.539528i	−0.135750	−	0.0444995i
$148$	−1.50509	+	4.63220i	−0.123718	+	0.380764i
$149$	5.69121	−	17.5157i	0.466242	−	1.43495i	−0.391172	−	0.920318i	$-0.627930\pi$
$149$	5.69121	−	17.5157i	0.466242	−	1.43495i	0.857414	−	0.514628i	$-0.172070\pi$
$150$	5.29201	+	1.73475i	0.432091	+	0.141642i
$151$	−3.29311	+	4.53257i	−0.267989	+	0.368856i	−0.921710	−	0.387881i	$-0.873207\pi$
$151$	−3.29311	+	4.53257i	−0.267989	+	0.368856i	0.653720	+	0.756736i	$0.273207\pi$
$152$	−1.75103	+	0.568943i	−0.142027	+	0.0461474i
$153$	4.17753	−	12.6325i	0.337733	−	1.02128i
$154$	−1.69274	−	2.85213i	−0.136405	−	0.229831i
$155$			2.93900i			0.236066i
$156$	−1.83798	−	1.34271i	−0.147156	−	0.107503i
$157$	−6.90219	−	5.01474i	−0.550855	−	0.400220i	0.277246	−	0.960799i	$-0.410578\pi$
$157$	−6.90219	−	5.01474i	−0.550855	−	0.400220i	−0.828101	+	0.560579i	$0.810578\pi$
$158$	1.42791	+	1.96535i	0.113598	+	0.156355i
$159$	1.42878	+	4.43668i	0.113310	+	0.351851i
$160$	1.27054	+	0.412823i	0.100445	+	0.0326365i
$161$	−1.28292	+	0.932094i	−0.101108	+	0.0734593i
$162$	2.69170	+	8.58806i	0.211480	+	0.674742i
$163$	−7.73111	−	23.7939i	−0.605547	−	1.86368i	−0.492985	−	0.870038i	$-0.664094\pi$
$163$	−7.73111	−	23.7939i	−0.605547	−	1.86368i	−0.112563	−	0.993645i	$-0.535906\pi$
$164$	9.28032			0.724671
$165$	−5.75123	−	5.08114i	−0.447733	−	0.395566i
$166$	2.89676			0.224832
$167$	2.15739	+	6.63975i	0.166943	+	0.513799i	0.999174	−	0.0406302i	$-0.0129365\pi$
$167$	2.15739	+	6.63975i	0.166943	+	0.513799i	−0.832231	+	0.554429i	$0.812937\pi$
$168$	1.73204	+	0.00451770i	0.133630	+	0.000348548i
$169$	−9.12004	+	6.62610i	−0.701542	+	0.509700i
$170$	−5.63497	−	1.83091i	−0.432183	−	0.140425i
$171$	−3.26985	+	4.45154i	−0.250051	+	0.340418i
$172$	−7.20958	−	9.92314i	−0.549726	−	0.756632i
$173$	−19.2032	−	13.9520i	−1.46000	−	1.06075i	−0.983364	−	0.181646i	$-0.941857\pi$
$173$	−19.2032	−	13.9520i	−1.46000	−	1.06075i	−0.476632	−	0.879103i	$-0.658143\pi$
$174$	−5.92764	+	8.11411i	−0.449374	+	0.615129i
$175$		−	3.21531i		−	0.243055i
$176$	2.49125	+	2.18945i	0.187785	+	0.165036i
$177$	−7.81069	+	5.64373i	−0.587087	+	0.424209i
$178$	−4.28155	+	1.39116i	−0.320916	+	0.104272i
$179$	6.54165	−	9.00381i	0.488946	−	0.672976i	−0.491247	−	0.871020i	$-0.663459\pi$
$179$	6.54165	−	9.00381i	0.488946	−	0.672976i	0.980193	+	0.198044i	$0.0634589\pi$
$180$	3.81802	−	1.21857i	0.284578	−	0.0908266i
$181$	1.50578	−	4.63431i	0.111924	−	0.344465i	−0.879369	−	0.476140i	$-0.842035\pi$
$181$	1.50578	−	4.63431i	0.111924	−	0.344465i	0.991293	+	0.131675i	$0.0420355\pi$
$182$	−0.406097	+	1.24984i	−0.0301019	+	0.0926441i
$183$	−0.537712	+	1.64034i	−0.0397488	+	0.121257i
$184$	0.932094	−	1.28292i	0.0687149	−	0.0945779i
$185$	6.18826	−	2.01069i	0.454970	−	0.147829i
$186$	−2.23169	−	3.08857i	−0.163636	−	0.226465i
$187$	−11.0490	−	9.71043i	−0.807981	−	0.710097i
$188$			6.84228i			0.499025i
$189$	4.22755	−	3.02123i	0.307509	−	0.219762i
$190$	1.98987	+	1.44573i	0.144360	+	0.104884i
$191$	5.47828	+	7.54021i	0.396395	+	0.545590i	0.959835	−	0.280567i	$-0.0905224\pi$
$191$	5.47828	+	7.54021i	0.396395	+	0.545590i	−0.563440	+	0.826157i	$0.690522\pi$
$192$	−1.64867	+	0.530935i	−0.118982	+	0.0383169i
$193$	−18.8963	−	6.13978i	−1.36019	−	0.441951i	−0.464081	−	0.885793i	$-0.653615\pi$
$193$	−18.8963	−	6.13978i	−1.36019	−	0.441951i	−0.896105	+	0.443841i	$0.853615\pi$
$194$	−4.39098	+	3.19023i	−0.315254	+	0.229045i
$195$	−0.00793132	+	3.04080i	−0.000567974	+	0.217756i
$196$	−0.309017	−	0.951057i	−0.0220726	−	0.0679326i
$197$	0.0877178			0.00624963			0.00312482	−	0.999995i	$-0.499005\pi$
$197$	0.0877178			0.00624963			0.00312482	+	0.999995i	$0.499005\pi$
$198$	9.90222	+	0.972604i	0.703720	+	0.0691199i
$199$	22.2531			1.57748			0.788739	−	0.614728i	$-0.210734\pi$
$199$	22.2531			1.57748			0.788739	+	0.614728i	$0.210734\pi$
$200$	0.993586	+	3.05794i	0.0702572	+	0.216229i
$201$	−0.0458920	+	17.5946i	−0.00323697	+	1.24102i
$202$	6.67330	−	4.84843i	0.469532	−	0.341135i
$203$	5.51765	+	1.79279i	0.387263	+	0.125829i
$204$	7.31203	−	2.35475i	0.511944	−	0.164866i
$205$	−7.28723	−	10.0300i	−0.508962	−	0.700527i
$206$	0.470019	+	0.341489i	0.0327478	+	0.0237926i
$207$	0.0248169	−	4.75726i	0.00172489	−	0.330652i
$208$		−	1.31416i		−	0.0911204i
$209$	3.11658	+	5.25116i	0.215578	+	0.363230i
$210$	−1.35518	−	1.87551i	−0.0935163	−	0.129423i
$211$	−3.83468	+	1.24596i	−0.263990	+	0.0857755i	−0.438021	−	0.898965i	$-0.644321\pi$
$211$	−3.83468	+	1.24596i	−0.263990	+	0.0857755i	0.174031	+	0.984740i	$0.444321\pi$
$212$	−1.58177	+	2.17712i	−0.108636	+	0.149525i
$213$	−5.27044	+	16.0779i	−0.361125	+	1.10164i
$214$	−1.82890	+	5.62879i	−0.125021	+	0.384776i
$215$	−5.06355	+	15.5840i	−0.345331	+	1.06282i
$216$	−3.08702	+	4.17975i	−0.210045	+	0.284396i
$217$	−1.29312	+	1.77982i	−0.0877824	+	0.120822i
$218$	−16.7411	+	5.43952i	−1.13385	+	0.368411i
$219$	−2.84232	+	2.05376i	−0.192066	+	0.138780i
$220$	0.410099	−	4.41173i	0.0276489	−	0.297439i
$221$			5.82843i			0.392063i
$222$	−4.97640	+	6.81199i	−0.333994	+	0.457191i
$223$	−21.3109	−	15.4833i	−1.42708	−	1.03684i	−0.990550	−	0.137149i	$-0.956206\pi$
$223$	−21.3109	−	15.4833i	−1.42708	−	1.03684i	−0.436533	−	0.899688i	$-0.643794\pi$
$224$	0.587785	+	0.809017i	0.0392731	+	0.0540547i
$225$	7.77404	+	5.71037i	0.518270	+	0.380691i
$226$	17.9370	+	5.82809i	1.19315	+	0.387679i
$227$	6.27281	−	4.55747i	0.416341	−	0.302490i	−0.359823	−	0.933021i	$-0.617163\pi$
$227$	6.27281	−	4.55747i	0.416341	−	0.302490i	0.776164	+	0.630531i	$0.217163\pi$
$228$	−3.18893	−	0.00831770i	−0.211192	−	0.000550853i
$229$	2.44050	+	7.51108i	0.161273	+	0.496346i	0.998742	−	0.0501378i	$-0.0159660\pi$
$229$	2.44050	+	7.51108i	0.161273	+	0.496346i	−0.837470	+	0.546484i	$0.815966\pi$
$230$	−2.11847			−0.139688
$231$	−1.24725	−	5.60753i	−0.0820628	−	0.368948i
$232$	−5.80160			−0.380894
$233$	1.28395	+	3.95158i	0.0841142	+	0.258877i	0.984264	−	0.176703i	$-0.0565433\pi$
$233$	1.28395	+	3.95158i	0.0841142	+	0.258877i	−0.900150	+	0.435580i	$0.856543\pi$
$234$	−2.30066	−	3.20157i	−0.150399	−	0.209293i
$235$	7.39502	−	5.37280i	0.482398	−	0.350483i
$236$	−5.29123	−	1.71922i	−0.344430	−	0.111912i
$237$	1.28980	+	4.00512i	0.0837817	+	0.260160i
$238$	−2.60689	−	3.58808i	−0.168980	−	0.232581i
$239$	1.60140	+	1.16349i	0.103586	+	0.0752598i	0.638373	−	0.769728i	$-0.279608\pi$
$239$	1.60140	+	1.16349i	0.103586	+	0.0752598i	−0.534786	+	0.844987i	$0.679608\pi$
$240$	1.86842	+	1.36495i	0.120606	+	0.0881068i
$241$		−	15.2295i		−	0.981019i	−0.871436	−	0.490510i	$-0.836811\pi$
$241$		−	15.2295i		−	0.981019i	0.871436	−	0.490510i	$-0.163189\pi$
$242$	5.26923	−	9.65584i	0.338719	−	0.620701i
$243$	−0.203291	+	15.5871i	−0.0130411	+	0.999915i
$244$	−0.947855	+	0.307977i	−0.0606802	+	0.0197162i
$245$	−0.785235	+	1.08078i	−0.0501668	+	0.0690487i
$246$	15.2743	+	5.00699i	0.973851	+	0.319234i
$247$	0.747680	−	2.30112i	0.0475738	−	0.146417i
$248$	0.679831	−	2.09231i	0.0431693	−	0.132862i
$249$	4.76770	+	1.56288i	0.302141	+	0.0990435i
$250$	6.45095	−	8.87897i	0.407994	−	0.561556i
$251$	−20.8302	+	6.76813i	−1.31479	+	0.427201i	−0.880702	−	0.473670i	$-0.842929\pi$
$251$	−20.8302	+	6.76813i	−1.31479	+	0.427201i	−0.434087	+	0.900871i	$0.642929\pi$
$252$	2.84829	+	0.941922i	0.179426	+	0.0593355i
$253$	−4.83010	−	2.08124i	−0.303666	−	0.130847i
$254$			17.1054i			1.07329i
$255$	−8.28664	−	6.05368i	−0.518930	−	0.379096i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−3.88516	−	5.34747i	−0.242350	−	0.333566i	0.670464	−	0.741942i	$-0.266095\pi$
$257$	−3.88516	−	5.34747i	−0.242350	−	0.333566i	−0.912814	+	0.408376i	$0.866095\pi$
$258$	−6.51227	−	20.2220i	−0.405436	−	1.25897i
$259$	4.63220	+	1.50509i	0.287831	+	0.0935219i
$260$	−1.42032	+	1.03192i	−0.0880845	+	0.0639971i
$261$	−14.1340	+	10.1567i	−0.874870	+	0.628684i
$262$	−6.83760	−	21.0440i	−0.422429	−	1.30010i
$263$	−17.2276			−1.06230			−0.531150	−	0.847278i	$-0.678240\pi$
$263$	−17.2276			−1.06230			−0.531150	+	0.847278i	$0.678240\pi$
$264$	2.91902	+	4.94766i	0.179653	+	0.304507i
$265$	3.59506			0.220843
$266$	0.568943	+	1.75103i	0.0348841	+	0.107362i
$267$	−7.79748	−	0.0203382i	−0.477198	−	0.00124468i
$268$	−8.21821	+	5.97088i	−0.502007	+	0.364729i
$269$	3.93159	+	1.27745i	0.239713	+	0.0778875i	0.426410	−	0.904530i	$-0.359778\pi$
$269$	3.93159	+	1.27745i	0.239713	+	0.0778875i	−0.186697	+	0.982418i	$0.559778\pi$
$270$	6.94144	+	0.0543171i	0.422443	+	0.00330564i
$271$	−11.0858	−	15.2584i	−0.673417	−	0.926879i	0.326415	−	0.945227i	$-0.394159\pi$
$271$	−11.0858	−	15.2584i	−0.673417	−	0.926879i	−0.999832	+	0.0183478i	$0.994159\pi$
$272$	3.58808	+	2.60689i	0.217559	+	0.158066i
$273$	−1.34271	+	1.83798i	−0.0812643	+	0.111239i
$274$			12.9851i			0.784457i
$275$	9.17047	−	5.44270i	0.553000	−	0.328207i
$276$	2.22628	−	1.60863i	0.134006	−	0.0968283i
$277$	−27.6385	+	8.98031i	−1.66064	+	0.539574i	−0.981006	−	0.193977i	$-0.937861\pi$
$277$	−27.6385	+	8.98031i	−1.66064	+	0.539574i	−0.679633	+	0.733552i	$0.737861\pi$
$278$	−0.559645	+	0.770285i	−0.0335653	+	0.0461986i
$279$	−2.00672	−	6.28747i	−0.120139	−	0.376421i
$280$	0.412823	−	1.27054i	0.0246709	−	0.0759291i
$281$	1.92276	−	5.91765i	0.114702	−	0.353017i	−0.877183	−	0.480157i	$-0.840580\pi$
$281$	1.92276	−	5.91765i	0.114702	−	0.353017i	0.991885	+	0.127140i	$0.0405797\pi$
$282$	−3.69160	+	11.2615i	−0.219832	+	0.670615i
$283$	−1.66599	+	2.29304i	−0.0990329	+	0.136307i	−0.855658	−	0.517542i	$-0.826847\pi$
$283$	−1.66599	+	2.29304i	−0.0990329	+	0.136307i	0.756625	+	0.653849i	$0.226847\pi$
$284$	−9.29051	+	3.01867i	−0.551290	+	0.179125i
$285$	2.49507	+	3.45308i	0.147795	+	0.204543i
$286$	−4.25211	+	0.957416i	−0.251433	+	0.0566132i
$287$		−	9.28032i		−	0.547800i
$288$	−2.99996	−	0.0156497i	−0.176774	−	0.000922168i
$289$	−2.16025	−	1.56951i	−0.127073	−	0.0923241i
$290$	4.55562	+	6.27028i	0.267515	+	0.368203i
$291$	−8.94823	+	2.88167i	−0.524554	+	0.168927i
$292$	−1.92548	−	0.625628i	−0.112680	−	0.0366121i
$293$	5.14528	−	3.73827i	0.300591	−	0.218392i	−0.427258	−	0.904130i	$-0.640520\pi$
$293$	5.14528	−	3.73827i	0.300591	−	0.218392i	0.727849	+	0.685738i	$0.240520\pi$
$294$	0.00451770	−	1.73204i	0.000263477	−	0.101015i
$295$	2.29675	+	7.06867i	0.133722	+	0.411554i
$296$	−4.87058			−0.283097
$297$	15.7731	+	6.94331i	0.915248	+	0.402892i
$298$	18.4171			1.06688
$299$	0.643977	+	1.98196i	0.0372422	+	0.114620i
$300$	−0.0145258	+	5.56907i	−0.000838648	+	0.321530i
$301$	−9.92314	+	7.20958i	−0.571960	+	0.415553i
$302$	−5.32836	−	1.73129i	−0.306613	−	0.0996245i
$303$	13.5993	−	4.37949i	0.781259	−	0.251595i
$304$	−1.08219	−	1.48951i	−0.0620681	−	0.0854294i
$305$	1.07715	+	0.782592i	0.0616772	+	0.0448111i
$306$	13.3052	+	0.0694082i	0.760605	+	0.00396780i
$307$		−	31.2341i		−	1.78263i	−0.453388	−	0.891313i	$-0.649785\pi$
$307$		−	31.2341i		−	1.78263i	0.453388	−	0.891313i	$-0.350215\pi$
$308$	2.18945	−	2.49125i	0.124755	−	0.141952i
$309$	0.589350	+	0.815637i	0.0335270	+	0.0463999i
$310$	−2.79516	+	0.908202i	−0.158754	+	0.0515824i
$311$	−5.62994	+	7.74895i	−0.319245	+	0.439403i	−0.938236	−	0.345995i	$-0.887541\pi$
$311$	−5.62994	+	7.74895i	−0.319245	+	0.439403i	0.618992	+	0.785398i	$0.287541\pi$
$312$	0.709024	−	2.16294i	0.0401406	−	0.122452i
$313$	−2.62716	+	8.08557i	−0.148496	+	0.457024i	−0.997444	−	0.0714528i	$-0.977236\pi$
$313$	−2.62716	+	8.08557i	−0.148496	+	0.457024i	0.848948	+	0.528476i	$0.177236\pi$
$314$	2.63640	−	8.11402i	0.148781	−	0.457900i
$315$	−1.21857	−	3.81802i	−0.0686585	−	0.215121i
$316$	−1.42791	+	1.96535i	−0.0803262	+	0.110560i
$317$	−10.5951	+	3.44255i	−0.595079	+	0.193353i	−0.591044	−	0.806639i	$-0.701284\pi$
$317$	−10.5951	+	3.44255i	−0.595079	+	0.193353i	−0.00403435	+	0.999992i	$0.501284\pi$
$318$	−3.77801	+	2.72986i	−0.211861	+	0.153083i
$319$	4.22670	+	18.7718i	0.236650	+	1.05102i
$320$			1.33592i			0.0746803i
$321$	−6.04704	+	8.27755i	−0.337513	+	0.462008i
$322$	−1.28292	−	0.932094i	−0.0714942	−	0.0519436i
$323$	4.79965	+	6.60615i	0.267060	+	0.367576i
$324$	−7.33595	+	5.21382i	−0.407553	+	0.289656i
$325$	−4.01862	−	1.30573i	−0.222913	−	0.0724288i
$326$	20.2403	−	14.7054i	1.12101	−	0.814459i
$327$	−30.4886	−	0.0795235i	−1.68602	−	0.00439766i
$328$	2.86778	+	8.82611i	0.158346	+	0.487340i
$329$	6.84228			0.377227
$330$	3.05522	−	7.03991i	0.168185	−	0.387534i
$331$	23.8581			1.31136			0.655681	−	0.755038i	$-0.272382\pi$
$331$	23.8581			1.31136			0.655681	+	0.755038i	$0.272382\pi$
$332$	0.895147	+	2.75498i	0.0491276	+	0.151199i
$333$	−11.8658	+	8.52679i	−0.650242	+	0.467265i
$334$	−5.64811	+	4.10359i	−0.309051	+	0.224539i
$335$	12.9065	+	4.19356i	0.705155	+	0.229119i
$336$	0.530935	+	1.64867i	0.0289649	+	0.0899422i
$337$	−4.96962	−	6.84009i	−0.270712	−	0.372603i	0.651918	−	0.758290i	$-0.273965\pi$
$337$	−4.96962	−	6.84009i	−0.270712	−	0.372603i	−0.922630	+	0.385686i	$0.873965\pi$
$338$	−9.12004	−	6.62610i	−0.496065	−	0.360412i
$339$	26.3777	+	19.2699i	1.43264	+	1.04659i
$340$		−	5.92496i		−	0.321326i
$341$	−7.26519	−	0.675346i	−0.393432	−	0.0365720i
$342$	−5.24410	−	1.73421i	−0.283569	−	0.0937753i
$343$	−0.951057	+	0.309017i	−0.0513522	+	0.0166853i
$344$	7.20958	−	9.92314i	0.388715	−	0.535020i
$345$	−3.48674	−	1.14297i	−0.187720	−	0.0615356i
$346$	7.33499	−	22.5748i	0.394331	−	1.21363i
$347$	−5.67216	+	17.4571i	−0.304497	+	0.937146i	0.675367	+	0.737482i	$0.263985\pi$
$347$	−5.67216	+	17.4571i	−0.304497	+	0.937146i	−0.979864	+	0.199664i	$0.936015\pi$
$348$	−9.54872	−	3.13013i	−0.511865	−	0.167792i
$349$	−19.0753	+	26.2549i	−1.02108	+	1.40539i	−0.109630	+	0.993972i	$0.534967\pi$
$349$	−19.0753	+	26.2549i	−1.02108	+	1.40539i	−0.911447	+	0.411419i	$0.865033\pi$
$350$	3.05794	−	0.993586i	0.163454	−	0.0531094i
$351$	−2.05926	−	6.51066i	−0.109915	−	0.347513i
$352$	−1.31245	+	3.04590i	−0.0699537	+	0.162347i
$353$		−	15.6790i		−	0.834511i	−0.908789	−	0.417256i	$-0.862992\pi$
$353$		−	15.6790i		−	0.834511i	0.908789	−	0.417256i	$-0.137008\pi$
$354$	−7.78114	−	5.68440i	−0.413563	−	0.302122i
$355$	10.5578	+	7.67067i	0.560348	+	0.407117i
$356$	−2.64614	−	3.64211i	−0.140245	−	0.193031i
$357$	−2.35475	−	7.31203i	−0.124627	−	0.386994i
$358$	10.5846	+	3.43915i	0.559414	+	0.181765i
$359$	12.8921	−	9.36667i	0.680420	−	0.494354i	−0.193077	−	0.981184i	$-0.561847\pi$
$359$	12.8921	−	9.36667i	0.680420	−	0.494354i	0.873497	+	0.486830i	$0.161847\pi$
$360$	2.33876	+	3.25460i	0.123263	+	0.171532i
$361$	4.82382	+	14.8462i	0.253885	+	0.781379i
$362$	4.87280			0.256109
$363$	13.8821	−	13.0494i	0.728621	−	0.684917i
$364$	−1.31416			−0.0688805
$365$	0.835790	+	2.57230i	0.0437472	+	0.134640i
$366$	−1.72621	−	0.00450249i	−0.0902307	−	0.000235349i
$367$	22.1106	−	16.0643i	1.15416	−	0.838550i	0.165136	−	0.986271i	$-0.447194\pi$
$367$	22.1106	−	16.0643i	1.15416	−	0.838550i	0.989029	+	0.147721i	$0.0471937\pi$
$368$	1.50816	+	0.490031i	0.0786183	+	0.0255446i
$369$	22.4381	+	16.4818i	1.16808	+	0.858007i
$370$	3.82455	+	5.26405i	0.198829	+	0.273665i
$371$	2.17712	+	1.58177i	0.113030	+	0.0821214i
$372$	2.24778	−	3.07689i	0.116542	−	0.159529i
$373$		−	19.6187i		−	1.01582i	−0.861410	−	0.507910i	$-0.830418\pi$
$373$		−	19.6187i		−	1.01582i	0.861410	−	0.507910i	$-0.169582\pi$
$374$	5.82085	−	13.5089i	0.300989	−	0.698528i
$375$	15.4079	−	11.1332i	0.795662	−	0.574917i
$376$	−6.50739	+	2.11438i	−0.335593	+	0.109041i
$377$	4.48140	−	6.16812i	0.230804	−	0.317674i
$378$	4.17975	+	3.08702i	0.214983	+	0.158779i
$379$	0.160011	−	0.492464i	0.00821923	−	0.0252962i	−0.946863	−	0.321638i	$-0.895767\pi$
$379$	0.160011	−	0.492464i	0.00821923	−	0.0252962i	0.955082	+	0.296342i	$0.0957667\pi$
$380$	−0.760063	+	2.33923i	−0.0389904	+	0.120000i
$381$	−9.22885	+	28.1534i	−0.472808	+	1.44234i
$382$	−5.47828	+	7.54021i	−0.280293	+	0.385791i
$383$	8.81727	−	2.86491i	0.450542	−	0.146390i	−0.0749525	−	0.997187i	$-0.523881\pi$
$383$	8.81727	−	2.86491i	0.450542	−	0.146390i	0.525494	+	0.850797i	$0.323881\pi$
$384$	−1.01442	−	1.40391i	−0.0517667	−	0.0716429i
$385$	−4.41173	−	0.410099i	−0.224843	−	0.0209006i
$386$		−	19.8688i		−	1.01129i
$387$	0.191954	−	36.7965i	0.00975758	−	1.87047i
$388$	−4.39098	−	3.19023i	−0.222918	−	0.161960i
$389$	−4.92116	−	6.77339i	−0.249513	−	0.343425i	0.665828	−	0.746105i	$-0.268079\pi$
$389$	−4.92116	−	6.77339i	−0.249513	−	0.343425i	−0.915341	+	0.402681i	$0.868079\pi$
$390$	−2.89442	+	0.932115i	−0.146565	+	0.0471995i
$391$	−6.68886	−	2.17334i	−0.338270	−	0.109911i
$392$	0.809017	−	0.587785i	0.0408615	−	0.0296876i
$393$	0.0999629	−	38.3249i	0.00504246	−	1.93323i
$394$	0.0271063	+	0.0834246i	0.00136559	+	0.00420287i
$395$	3.24536			0.163292
$396$	2.13495	+	9.71813i	0.107285	+	0.488354i
$397$	37.8107			1.89766			0.948831	−	0.315783i	$-0.102267\pi$
$397$	37.8107			1.89766			0.948831	+	0.315783i	$0.102267\pi$
$398$	6.87658	+	21.1639i	0.344692	+	1.06085i
$399$	−0.00831770	+	3.18893i	−0.000416406	+	0.159646i
$400$	−2.60124	+	1.88991i	−0.130062	+	0.0944957i
$401$	26.6260	+	8.65130i	1.32964	+	0.432025i	0.885794	−	0.464079i	$-0.153615\pi$
$401$	26.6260	+	8.65130i	1.32964	+	0.432025i	0.443844	+	0.896104i	$0.353615\pi$
$402$	−16.7476	+	5.39337i	−0.835295	+	0.268997i
$403$	1.69936	+	2.33896i	0.0846510	+	0.116512i
$404$	6.67330	+	4.84843i	0.332009	+	0.241219i
$405$	11.3955	+	3.83450i	0.566244	+	0.190538i
$406$			5.80160i			0.287929i
$407$	3.54842	+	15.7593i	0.175888	+	0.781162i
$408$	4.49905	+	6.22649i	0.222736	+	0.308257i
$409$	12.0049	−	3.90063i	0.593604	−	0.192874i	0.00321826	−	0.999995i	$-0.498976\pi$
$409$	12.0049	−	3.90063i	0.593604	−	0.192874i	0.590386	+	0.807121i	$0.298976\pi$
$410$	7.28723	−	10.0300i	0.359891	−	0.495347i
$411$	−7.00581	+	21.3718i	−0.345571	+	1.05419i
$412$	−0.179531	+	0.552540i	−0.00884487	+	0.0272217i
$413$	−1.71922	+	5.29123i	−0.0845975	+	0.260364i
$414$	4.53209	−	1.44647i	0.222740	−	0.0710901i
$415$	2.27463	−	3.13077i	0.111657	−	0.153683i
$416$	1.24984	−	0.406097i	0.0612783	−	0.0199105i
$417$	−1.33670	+	0.965850i	−0.0654583	+	0.0472979i
$418$	−4.03107	+	4.58674i	−0.197166	+	0.224345i
$419$		−	26.7514i		−	1.30689i	−0.756974	−	0.653445i	$-0.773323\pi$
$419$		−	26.7514i		−	1.30689i	0.756974	−	0.653445i	$-0.226677\pi$
$420$	1.36495	−	1.86842i	0.0666025	−	0.0911695i
$421$	−19.9705	−	14.5094i	−0.973303	−	0.707146i	−0.0171009	−	0.999854i	$-0.505444\pi$
$421$	−19.9705	−	14.5094i	−0.973303	−	0.707146i	−0.956202	+	0.292708i	$0.905444\pi$
$422$	−2.36996	−	3.26197i	−0.115368	−	0.158790i
$423$	−12.1518	+	16.5434i	−0.590843	+	0.804367i
$424$	−2.55936	−	0.831586i	−0.124293	−	0.0403854i
$425$	11.5368	−	8.38198i	0.559617	−	0.406586i
$426$	−16.9197	−	0.0441317i	−0.819762	−	0.00213819i
$427$	0.307977	+	0.947855i	0.0149040	+	0.0458699i
$428$	−5.91846			−0.286080
$429$	−7.51500	−	0.718344i	−0.362828	−	0.0346820i
$430$	−16.3860			−0.790202
$431$	2.31103	+	7.11262i	0.111318	+	0.342603i	0.991161	−	0.132662i	$-0.0423524\pi$
$431$	2.31103	+	7.11262i	0.111318	+	0.342603i	−0.879843	+	0.475264i	$0.842352\pi$
$432$	−4.92912	−	1.64432i	−0.237152	−	0.0791123i
$433$	32.6963	−	23.7553i	1.57129	−	1.14161i	0.645374	−	0.763867i	$-0.276701\pi$
$433$	32.6963	−	23.7553i	1.57129	−	1.14161i	0.925912	−	0.377740i	$-0.123299\pi$
$434$	−2.09231	−	0.679831i	−0.100434	−	0.0326330i
$435$	4.11500	+	12.7780i	0.197299	+	0.612657i
$436$	−10.3466	−	14.2409i	−0.495512	−	0.682013i
$437$	2.36203	+	1.71611i	0.112991	+	0.0820929i
$438$	−2.83157	−	2.06856i	−0.135297	−	0.0988396i
$439$			25.6790i			1.22559i	0.790241	+	0.612796i	$0.209955\pi$
$439$			25.6790i			1.22559i	−0.790241	+	0.612796i	$0.790045\pi$
$440$	4.32253	−	0.973273i	0.206069	−	0.0463990i
$441$	0.941922	−	2.84829i	0.0448534	−	0.135633i
$442$	−5.54317	+	1.80108i	−0.263662	+	0.0856689i
$443$	−9.26806	+	12.7564i	−0.440339	+	0.606074i	−0.970287	−	0.241955i	$-0.922211\pi$
$443$	−9.26806	+	12.7564i	−0.440339	+	0.606074i	0.529949	+	0.848030i	$0.322211\pi$
$444$	−8.01638	−	2.62782i	−0.380440	−	0.124711i
$445$	−1.85848	+	5.71982i	−0.0881005	+	0.271145i
$446$	8.14004	−	25.0525i	0.385442	−	1.18627i
$447$	30.3123	+	9.93656i	1.43372	+	0.469983i
$448$	−0.587785	+	0.809017i	−0.0277702	+	0.0382225i
$449$	9.27004	−	3.01202i	0.437480	−	0.142146i	−0.0819925	−	0.996633i	$-0.526128\pi$
$449$	9.27004	−	3.01202i	0.437480	−	0.142146i	0.519473	+	0.854487i	$0.326128\pi$
$450$	−3.02857	+	9.15816i	−0.142768	+	0.431720i
$451$	26.4686	−	15.7092i	1.24636	−	0.739717i
$452$			18.8601i			0.887105i
$453$	−7.83574	−	5.72429i	−0.368155	−	0.268950i
$454$	6.27281	+	4.55747i	0.294398	+	0.213892i
$455$	1.03192	+	1.42032i	0.0483773	+	0.0665856i
$456$	−0.977524	−	3.03543i	−0.0457768	−	0.142147i
$457$	8.11990	+	2.63831i	0.379833	+	0.123415i	0.492710	−	0.870194i	$-0.336007\pi$
$457$	8.11990	+	2.63831i	0.379833	+	0.123415i	−0.112877	+	0.993609i	$0.536007\pi$
$458$	−6.38930	+	4.64210i	−0.298553	+	0.216911i
$459$	21.8612	+	7.29274i	1.02039	+	0.340396i
$460$	−0.654643	−	2.01478i	−0.0305229	−	0.0939398i
$461$	−33.7406			−1.57146			−0.785729	−	0.618570i	$-0.787712\pi$
$461$	−33.7406			−1.57146			−0.785729	+	0.618570i	$0.787712\pi$
$462$	4.94766	−	2.91902i	0.230186	−	0.135805i
$463$	−22.3502			−1.03870			−0.519350	−	0.854561i	$-0.673826\pi$
$463$	−22.3502			−1.03870			−0.519350	+	0.854561i	$0.673826\pi$
$464$	−1.79279	−	5.51765i	−0.0832284	−	0.256151i
$465$	−5.09048	−	0.0132775i	−0.236066	−	0.000615730i
$466$	−3.36142	+	2.44221i	−0.155715	+	0.113133i
$467$	9.27761	+	3.01448i	0.429316	+	0.139493i	0.515701	−	0.856768i	$-0.327531\pi$
$467$	9.27761	+	3.01448i	0.429316	+	0.139493i	−0.0863848	+	0.996262i	$0.527531\pi$
$468$	2.33393	−	3.17739i	0.107886	−	0.146875i
$469$	5.97088	+	8.21821i	0.275709	+	0.379482i
$470$	7.39502	+	5.37280i	0.341107	+	0.247829i
$471$	8.71693	−	11.9323i	0.401655	−	0.549809i
$472$		−	5.56353i		−	0.256082i
$473$	−37.3600	−	16.0981i	−1.71781	−	0.740189i
$474$	−3.41052	+	2.46432i	−0.156651	+	0.113190i
$475$	−5.63010	+	1.82933i	−0.258327	+	0.0839354i
$476$	2.60689	−	3.58808i	0.119487	−	0.164459i
$477$	−7.69098	+	2.45467i	−0.352146	+	0.112392i
$478$	−0.611682	+	1.88256i	−0.0279777	+	0.0861064i
$479$	−12.4391	+	38.2836i	−0.568356	+	1.74922i	0.0894065	+	0.995995i	$0.471503\pi$
$479$	−12.4391	+	38.2836i	−0.568356	+	1.74922i	−0.657763	+	0.753225i	$0.728497\pi$
$480$	−0.720767	+	2.19876i	−0.0328984	+	0.100359i
$481$	3.76224	−	5.17828i	0.171544	−	0.236109i
$482$	14.4841	−	4.70618i	0.659734	−	0.214361i
$483$	−1.60863	−	2.22628i	−0.0731953	−	0.101299i
$484$	10.8115	+	2.02752i	0.491433	+	0.0921601i
$485$			7.25078i			0.329241i
$486$	−14.8871	+	4.62335i	−0.675291	+	0.209719i
$487$	−10.0198	−	7.27979i	−0.454039	−	0.329879i	0.337149	−	0.941451i	$-0.390537\pi$
$487$	−10.0198	−	7.27979i	−0.454039	−	0.329879i	−0.791188	+	0.611573i	$0.790537\pi$
$488$	−0.585807	−	0.806294i	−0.0265182	−	0.0364992i
$489$	41.2470	−	13.2831i	1.86526	−	0.600684i
$490$	−1.27054	−	0.412823i	−0.0573970	−	0.0186494i
$491$	−12.2634	+	8.90989i	−0.553440	+	0.402098i	−0.829052	−	0.559171i	$-0.811119\pi$
$491$	−12.2634	+	8.90989i	−0.553440	+	0.402098i	0.275612	+	0.961269i	$0.411119\pi$
$492$	−0.0419257	+	16.0739i	−0.00189016	+	0.724669i
$493$	7.95124	+	24.4714i	0.358106	+	1.10214i
$494$	2.41954			0.108860
$495$	8.82675	−	9.93844i	0.396733	−	0.446700i
$496$	2.19998			0.0987820
$497$	3.01867	+	9.29051i	0.135406	+	0.416736i
$498$	−0.0130867	+	5.01731i	−0.000586428	+	0.224831i
$499$	−18.4045	+	13.3717i	−0.823900	+	0.598598i	−0.917827	−	0.396981i	$-0.870058\pi$
$499$	−18.4045	+	13.3717i	−0.823900	+	0.598598i	0.0939273	+	0.995579i	$0.470058\pi$
$500$	10.4379	+	3.39147i	0.466795	+	0.151671i
$501$	−11.5101	+	3.70669i	−0.514233	+	0.165603i
$502$	−12.8738	−	17.7192i	−0.574584	−	0.790847i
$503$	14.0659	+	10.2195i	0.627169	+	0.455665i	0.855418	−	0.517938i	$-0.173300\pi$
$503$	14.0659	+	10.2195i	0.627169	+	0.455665i	−0.228249	+	0.973603i	$0.573300\pi$
$504$	−0.0156497	+	2.99996i	−0.000697094	+	0.133629i
$505$		−	11.0196i		−	0.490364i
$506$	0.486798	−	5.23684i	0.0216408	−	0.232806i
$507$	−11.4355	−	15.8263i	−0.507868	−	0.702869i
$508$	−16.2682	+	5.28586i	−0.721785	+	0.234522i
$509$	17.1398	−	23.5910i	0.759710	−	1.04565i	−0.237528	−	0.971381i	$-0.576337\pi$
$509$	17.1398	−	23.5910i	0.759710	−	1.04565i	0.997238	−	0.0742703i	$-0.0236628\pi$
$510$	3.19668	−	9.75176i	0.141551	−	0.431815i
$511$	−0.625628	+	1.92548i	−0.0276761	+	0.0851784i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	−7.69549	−	5.68363i	−0.339764	−	0.250939i
$514$	3.88516	−	5.34747i	0.171367	−	0.235867i
$515$	0.738151	−	0.239840i	0.0325268	−	0.0105686i
$516$	17.2199	−	12.4425i	0.758064	−	0.547750i
$517$	11.5822	+	19.5150i	0.509386	+	0.858270i
$518$			4.87058i			0.214001i
$519$	24.2522	−	33.1979i	1.06455	−	1.45722i
$520$	−1.42032	−	1.03192i	−0.0622851	−	0.0452528i
$521$	−8.80000	−	12.1122i	−0.385535	−	0.530643i	0.571505	−	0.820598i	$-0.306360\pi$
$521$	−8.80000	−	12.1122i	−0.385535	−	0.530643i	−0.957040	+	0.289955i	$0.906360\pi$
$522$	−14.0272	−	10.3036i	−0.613955	−	0.450976i
$523$	−30.3008	−	9.84533i	−1.32496	−	0.430506i	−0.440766	−	0.897622i	$-0.645293\pi$
$523$	−30.3008	−	9.84533i	−1.32496	−	0.430506i	−0.884196	+	0.467116i	$0.845293\pi$
$524$	17.9011	−	13.0059i	0.782012	−	0.568165i
$525$	5.56907	+	0.0145258i	0.243054	+	0.000633958i
$526$	−5.32363	−	16.3844i	−0.232121	−	0.714395i
$527$	−9.75716			−0.425029
$528$	−3.80347	+	4.30507i	−0.165525	+	0.187354i
$529$	20.4853			0.890666
$530$	1.11093	+	3.41910i	0.0482559	+	0.148516i
$531$	−9.73990	−	13.5540i	−0.422676	−	0.588192i
$532$	−1.48951	+	1.08219i	−0.0645785	+	0.0469190i
$533$	−11.5989	−	3.76871i	−0.502404	−	0.163241i
$534$	−2.39021	−	7.42213i	−0.103434	−	0.321187i
$535$	4.64738	+	6.39657i	0.200924	+	0.276548i
$536$	−8.21821	−	5.97088i	−0.354972	−	0.257903i
$537$	15.5654	+	11.3711i	0.671699	+	0.490700i
$538$			4.13391i			0.178226i
$539$	−2.49125	−	2.18945i	−0.107306	−	0.0943061i
$540$	2.09336	+	6.61849i	0.0900841	+	0.284814i
$541$	16.6225	−	5.40098i	0.714658	−	0.232206i	0.0709524	−	0.997480i	$-0.477396\pi$
$541$	16.6225	−	5.40098i	0.714658	−	0.232206i	0.643706	+	0.765273i	$0.277396\pi$
$542$	11.0858	−	15.2584i	0.476178	−	0.655402i
$543$	8.02003	+	2.62901i	0.344172	+	0.112822i
$544$	−1.37052	+	4.21804i	−0.0587608	+	0.180847i
$545$	−7.26678	+	22.3648i	−0.311275	+	0.958005i
$546$	−2.16294	−	0.709024i	−0.0925653	−	0.0303434i
$547$	5.58376	−	7.68538i	0.238744	−	0.328603i	−0.672785	−	0.739838i	$-0.734902\pi$
$547$	5.58376	−	7.68538i	0.238744	−	0.328603i	0.911530	+	0.411235i	$0.134902\pi$
$548$	−12.3495	+	4.01261i	−0.527546	+	0.171410i
$549$	−2.83871	−	0.938752i	−0.121153	−	0.0400649i
$550$	8.01015	+	7.03975i	0.341554	+	0.300176i
$551$		−	10.6815i		−	0.455049i
$552$	2.21786	+	1.62022i	0.0943984	+	0.0689613i
$553$	1.96535	+	1.42791i	0.0835751	+	0.0607209i
$554$	−17.0816	−	23.5108i	−0.725726	−	0.998876i
$555$	3.45464	+	10.7274i	0.146641	+	0.455354i
$556$	−0.905525	−	0.294223i	−0.0384028	−	0.0124778i
$557$	13.3522	−	9.70098i	0.565753	−	0.411044i	−0.267807	−	0.963473i	$-0.586299\pi$
$557$	13.3522	−	9.70098i	0.565753	−	0.411044i	0.833560	+	0.552429i	$0.186299\pi$
$558$	5.35963	−	3.85144i	0.226891	−	0.163045i
$559$	4.98105	+	15.3301i	0.210676	+	0.648394i
$560$	1.33592			0.0564530
$561$	16.8688	−	19.0934i	0.712202	−	0.806126i
$562$	6.22218			0.262467
$563$	0.343730	+	1.05789i	0.0144865	+	0.0445848i	0.958038	−	0.286640i	$-0.0925383\pi$
$563$	0.343730	+	1.05789i	0.0144865	+	0.0445848i	−0.943552	+	0.331225i	$0.892538\pi$
$564$	−11.8511	−	0.0309114i	−0.499023	−	0.00130160i
$565$	20.3837	−	14.8096i	0.857549	−	0.623045i
$566$	−2.69563	−	0.875863i	−0.113306	−	0.0368153i
$567$	5.21382	+	7.33595i	0.218960	+	0.308081i
$568$	−5.74185	−	7.90298i	−0.240923	−	0.331602i
$569$	14.2406	+	10.3464i	0.596999	+	0.433745i	0.844812	−	0.535063i	$-0.179712\pi$
$569$	14.2406	+	10.3464i	0.596999	+	0.433745i	−0.247814	+	0.968808i	$0.579712\pi$
$570$	−2.51305	+	3.44002i	−0.105260	+	0.144086i
$571$			30.6367i			1.28211i	0.767497	+	0.641053i	$0.221502\pi$
$571$			30.6367i			1.28211i	−0.767497	+	0.641053i	$0.778498\pi$
$572$	−2.22453	−	3.74814i	−0.0930123	−	0.156718i
$573$	−13.0847	+	9.45457i	−0.546623	+	0.394970i
$574$	8.82611	−	2.86778i	0.368395	−	0.119699i
$575$	2.99697	−	4.12498i	0.124982	−	0.172024i
$576$	−0.912155	−	2.85797i	−0.0380064	−	0.119082i
$577$	8.53172	−	26.2579i	0.355180	−	1.09313i	−0.600725	−	0.799456i	$-0.705121\pi$
$577$	8.53172	−	26.2579i	0.355180	−	1.09313i	0.955905	−	0.293676i	$-0.0948787\pi$
$578$	0.825141	−	2.53952i	0.0343213	−	0.105630i
$579$	10.7198	−	32.7015i	0.445498	−	1.35903i
$580$	−4.55562	+	6.27028i	−0.189162	+	0.260359i
$581$	2.75498	−	0.895147i	0.114296	−	0.0371369i
$582$	−5.50579	−	7.61978i	−0.228222	−	0.315850i
$583$	−0.826099	+	8.88695i	−0.0342135	+	0.368060i
$584$		−	2.02457i		−	0.0837775i
$585$	−5.26676	−	0.0274748i	−0.217754	−	0.00113594i
$586$	5.14528	+	3.73827i	0.212550	+	0.154426i
$587$	−19.4917	−	26.8280i	−0.804509	−	1.10731i	−0.992147	−	0.125074i	$-0.960083\pi$
$587$	−19.4917	−	26.8280i	−0.804509	−	1.10731i	0.187638	−	0.982238i	$-0.439917\pi$
$588$	1.64867	−	0.530935i	0.0679899	−	0.0218954i
$589$	3.85222	+	1.25166i	0.158728	+	0.0515739i
$590$	−6.01297	+	4.36868i	−0.247550	+	0.179856i
$591$	−0.000396282		0.151931i	−1.63009e−5		0.00624961i
$592$	−1.50509	−	4.63220i	−0.0618589	−	0.190382i
$593$	16.9440			0.695806			0.347903	−	0.937530i	$-0.386894\pi$
$593$	16.9440			0.695806			0.347903	+	0.937530i	$0.386894\pi$
$594$	−1.72933	+	17.1467i	−0.0709552	+	0.703538i
$595$	−5.92496			−0.242900
$596$	5.69121	+	17.5157i	0.233121	+	0.717473i
$597$	−0.100533	+	38.5433i	−0.00411453	+	1.57747i
$598$	−1.68595	+	1.22492i	−0.0689438	+	0.0500906i
$599$	−23.1461	−	7.52064i	−0.945726	−	0.307285i	−0.204748	−	0.978815i	$-0.565638\pi$
$599$	−23.1461	−	7.52064i	−0.945726	−	0.307285i	−0.740978	+	0.671530i	$0.765638\pi$
$600$	−5.30099	+	1.70712i	−0.216412	+	0.0696929i
$601$	12.9713	+	17.8535i	0.529111	+	0.728259i	0.986995	−	0.160754i	$-0.0513924\pi$
$601$	12.9713	+	17.8535i	0.529111	+	0.728259i	−0.457884	+	0.889012i	$0.651392\pi$
$602$	−9.92314	−	7.20958i	−0.404437	−	0.293841i
$603$	−30.4744	−	0.158974i	−1.24101	−	0.00647392i
$604$		−	5.60257i		−	0.227965i
$605$	−6.29828	−	13.2770i	−0.256062	−	0.539787i
$606$	8.36756	+	11.5804i	0.339909	+	0.470420i
$607$	−22.7087	+	7.37852i	−0.921719	+	0.299485i	−0.731172	−	0.682193i	$-0.761026\pi$
$607$	−22.7087	+	7.37852i	−0.921719	+	0.299485i	−0.190547	+	0.981678i	$0.561026\pi$
$608$	1.08219	−	1.48951i	0.0438888	−	0.0604077i
$609$	−3.13013	+	9.54872i	−0.126839	+	0.386934i
$610$	−0.411433	+	1.26626i	−0.0166584	+	0.0512694i
$611$	2.77863	−	8.55174i	0.112411	−	0.345966i
$612$	4.04551	+	12.6754i	0.163530	+	0.512373i
$613$	7.34984	−	10.1162i	0.296857	−	0.408589i	−0.634369	−	0.773030i	$-0.718740\pi$
$613$	7.34984	−	10.1162i	0.296857	−	0.408589i	0.931226	+	0.364441i	$0.118740\pi$
$614$	29.7054	−	9.65188i	1.19881	−	0.389518i
$615$	17.4054	−	12.5765i	0.701852	−	0.507133i
$616$	3.04590	+	1.31245i	0.122723	+	0.0528800i
$617$			0.796396i			0.0320617i	0.999871	+	0.0160309i	$0.00510300\pi$
$617$			0.796396i			0.0320617i	−0.999871	+	0.0160309i	$0.994897\pi$
$618$	−0.593597	+	0.812551i	−0.0238780	+	0.0326856i
$619$	2.40565	+	1.74781i	0.0966913	+	0.0702504i	0.635080	−	0.772446i	$-0.280967\pi$
$619$	2.40565	+	1.74781i	0.0966913	+	0.0702504i	−0.538389	+	0.842696i	$0.680967\pi$
$620$	−1.72750	−	2.37770i	−0.0693782	−	0.0954908i
$621$	8.23967	+	0.0644758i	0.330646	+	0.00258733i
$622$	−9.10944	−	2.95984i	−0.365255	−	0.118679i
$623$	−3.64211	+	2.64614i	−0.145918	+	0.106016i
$624$	2.27618	+	0.00593696i	0.0911201	+	0.000237669i
$625$	0.437197	+	1.34555i	0.0174879	+	0.0538221i
$626$	−8.50167			−0.339795
$627$	−9.10932	+	5.37433i	−0.363791	+	0.214630i
$628$	8.53158			0.340447
$629$	6.67525	+	20.5443i	0.266160	+	0.819156i
$630$	3.25460	−	2.33876i	0.129666	−	0.0931784i
$631$	−12.3504	+	8.97309i	−0.491662	+	0.357213i	−0.805823	−	0.592156i	$-0.798277\pi$
$631$	−12.3504	+	8.97309i	−0.491662	+	0.357213i	0.314161	+	0.949370i	$0.398277\pi$
$632$	−2.31041	−	0.750697i	−0.0919030	−	0.0298611i
$633$	−2.14074	−	6.64746i	−0.0850867	−	0.264213i
$634$	−6.54812	−	9.01271i	−0.260059	−	0.357940i
$635$	18.4873	+	13.4318i	0.733644	+	0.533024i
$636$	−3.76372	−	2.74953i	−0.149241	−	0.109026i
$637$			1.31416i			0.0520688i
$638$	−16.5469	+	9.82063i	−0.655098	+	0.388802i
$639$	−27.8239	−	9.20128i	−1.10070	−	0.363997i
$640$	−1.27054	+	0.412823i	−0.0502224	+	0.0163182i
$641$	−18.8324	+	25.9206i	−0.743837	+	1.02380i	0.254552	+	0.967059i	$0.418072\pi$
$641$	−18.8324	+	25.9206i	−0.743837	+	1.02380i	−0.998389	+	0.0567445i	$0.981928\pi$
$642$	−9.74105	−	3.19317i	−0.384449	−	0.126025i
$643$	−8.22335	+	25.3089i	−0.324297	+	0.998084i	0.647460	+	0.762100i	$0.275831\pi$
$643$	−8.22335	+	25.3089i	−0.324297	+	0.998084i	−0.971757	+	0.235985i	$0.924169\pi$
$644$	0.490031	−	1.50816i	0.0193099	−	0.0594298i
$645$	−26.9693	−	8.84070i	−1.06192	−	0.348102i
$646$	−4.79965	+	6.60615i	−0.188840	+	0.259916i
$647$	−45.7821	+	14.8755i	−1.79988	+	0.584816i	−0.999885	−	0.0151927i	$-0.995164\pi$
$647$	−45.7821	+	14.8755i	−1.79988	+	0.584816i	−0.799994	+	0.600009i	$0.795164\pi$
$648$	−7.22557	−	5.36574i	−0.283847	−	0.210786i
$649$	−18.0015	+	4.05325i	−0.706619	+	0.159104i
$650$		−	4.22543i		−	0.165735i
$651$	−3.07689	−	2.24778i	−0.120593	−	0.0880973i
$652$	20.2403	+	14.7054i	0.792672	+	0.575910i
$653$	−2.12081	−	2.91904i	−0.0829937	−	0.114231i	0.765502	−	0.643434i	$-0.222491\pi$
$653$	−2.12081	−	2.91904i	−0.0829937	−	0.114231i	−0.848495	+	0.529203i	$0.822491\pi$
$654$	−9.34587	−	29.0210i	−0.365452	−	1.13481i
$655$	−28.1131	−	9.13451i	−1.09847	−	0.356915i
$656$	−7.50793	+	5.45483i	−0.293136	+	0.212975i
$657$	−3.54436	−	4.93230i	−0.138279	−	0.192427i
$658$	2.11438	+	6.50739i	0.0824271	+	0.253685i
$659$	−33.5005			−1.30499			−0.652497	−	0.757792i	$-0.726278\pi$
$659$	−33.5005			−1.30499			−0.652497	+	0.757792i	$0.726278\pi$
$660$	7.63947	+	0.730241i	0.297366	+	0.0284246i
$661$	−38.3942			−1.49336			−0.746681	−	0.665182i	$-0.768354\pi$
$661$	−38.3942			−1.49336			−0.746681	+	0.665182i	$0.768354\pi$
$662$	7.37257	+	22.6904i	0.286543	+	0.881888i
$663$	−10.0951	−	0.0263311i	−0.392061	−	0.00102261i
$664$	−2.34352	+	1.70267i	−0.0909464	+	0.0660764i
$665$	2.33923	+	0.760063i	0.0907116	+	0.0294740i
$666$	−11.7762	−	8.65012i	−0.456318	−	0.335185i
$667$	5.40764	+	7.44298i	0.209385	+	0.288193i
$668$	−5.64811	−	4.10359i	−0.218532	−	0.158773i
$669$	26.9140	−	36.8415i	1.04056	−	1.42437i
$670$			13.5706i			0.524280i
$671$	−2.18208	+	2.48286i	−0.0842381	+	0.0958499i
$672$	−1.40391	+	1.01442i	−0.0541570	+	0.0391319i
$673$	−2.39737	+	0.778952i	−0.0924118	+	0.0300264i	−0.354858	−	0.934920i	$-0.615471\pi$
$673$	−2.39737	+	0.778952i	−0.0924118	+	0.0300264i	0.262446	+	0.964947i	$0.415471\pi$
$674$	4.96962	−	6.84009i	0.191422	−	0.263470i
$675$	−9.92574	+	13.4392i	−0.382042	+	0.517275i
$676$	3.48355	−	10.7213i	0.133983	−	0.412356i
$677$	−4.12662	+	12.7004i	−0.158599	+	0.488118i	−0.998508	−	0.0546100i	$-0.982608\pi$
$677$	−4.12662	+	12.7004i	−0.158599	+	0.488118i	0.839909	+	0.542728i	$0.182608\pi$
$678$	−10.1756	+	31.0414i	−0.390790	+	1.19214i
$679$	−3.19023	+	4.39098i	−0.122430	+	0.168510i
$680$	5.63497	−	1.83091i	0.216091	−	0.0702123i
$681$	7.86540	+	10.8854i	0.301403	+	0.417129i
$682$	−1.60277	−	7.11830i	−0.0613734	−	0.272574i
$683$			22.3431i			0.854936i	0.904030	+	0.427468i	$0.140594\pi$
$683$			22.3431i			0.854936i	−0.904030	+	0.427468i	$0.859406\pi$
$684$	0.0288133	−	5.52334i	0.00110170	−	0.211190i
$685$	14.0341	+	10.1963i	0.536214	+	0.389582i
$686$	−0.587785	−	0.809017i	−0.0224417	−	0.0308884i
$687$	−13.0205	+	4.19312i	−0.496765	+	0.159977i
$688$	11.6654	+	3.79030i	0.444737	+	0.144504i
$689$	2.86108	−	2.07869i	0.108998	−	0.0791919i
$690$	0.00957060	−	3.66928i	0.000364347	−	0.139687i
$691$	0.551536	+	1.69745i	0.0209814	+	0.0645741i	0.960999	−	0.276552i	$-0.0891917\pi$
$691$	0.551536	+	1.69745i	0.0209814	+	0.0645741i	−0.940018	+	0.341126i	$0.889192\pi$
$692$	23.7365			0.902327
$693$	9.71813	−	2.13495i	0.369161	−	0.0811002i
$694$	−18.3555			−0.696765
$695$	0.393059	+	1.20971i	0.0149096	+	0.0458869i
$696$	0.0262099	−	10.0486i	0.000993483	−	0.380893i
$697$	33.2985	−	24.1928i	1.26127	−	0.916367i
$698$	−30.8645	−	10.0285i	−1.16824	−	0.379583i
$699$	−6.85012	+	2.20600i	−0.259095	+	0.0834387i
$700$	1.88991	+	2.60124i	0.0714320	+	0.0983177i
$701$	−9.27237	−	6.73677i	−0.350212	−	0.254444i	0.398746	−	0.917062i	$-0.369446\pi$
$701$	−9.27237	−	6.73677i	−0.350212	−	0.254444i	−0.748958	+	0.662617i	$0.769446\pi$
$702$	5.55566	−	3.97038i	0.209685	−	0.149852i
$703$		−	8.96741i		−	0.338212i
$704$	−3.30239	−	0.306978i	−0.124463	−	0.0115697i
$705$	9.27252	+	12.8328i	0.349223	+	0.483311i
$706$	14.9117	−	4.84509i	0.561208	−	0.182347i
$707$	4.84843	−	6.67330i	0.182344	−	0.250975i
$708$	3.00168	−	9.15688i	0.112810	−	0.344137i
$709$	−14.1983	+	43.6978i	−0.533228	+	1.64111i	0.214220	+	0.976785i	$0.431279\pi$
$709$	−14.1983	+	43.6978i	−0.533228	+	1.64111i	−0.747448	+	0.664320i	$0.768721\pi$
$710$	−4.03271	+	12.4114i	−0.151345	+	0.465791i
$711$	−6.94287	+	2.21590i	−0.260378	+	0.0831028i
$712$	2.64614	−	3.64211i	0.0991685	−	0.136494i
$713$	−3.31792	+	1.07806i	−0.124257	+	0.0403736i
$714$	6.22649	−	4.49905i	0.233021	−	0.168373i
$715$	−2.30415	+	5.34741i	−0.0861702	+	0.199982i
$716$			11.1293i			0.415922i
$717$	−2.02245	+	2.76845i	−0.0755297	+	0.103390i
$718$	12.8921	+	9.36667i	0.481130	+	0.349561i
$719$	17.5866	+	24.2058i	0.655868	+	0.902725i	0.999336	−	0.0364391i	$-0.0116015\pi$
$719$	17.5866	+	24.2058i	0.655868	+	0.902725i	−0.343467	+	0.939165i	$0.611601\pi$
$720$	−2.37259	+	3.23002i	−0.0884211	+	0.120376i
$721$	0.552540	+	0.179531i	0.0205777	+	0.00668609i
$722$	−12.6289	+	9.17545i	−0.470000	+	0.341475i
$723$	26.3782	+	0.0688023i	0.981016	+	0.00255879i
$724$	1.50578	+	4.63431i	0.0559618	+	0.172233i
$725$	−18.6540			−0.692791
$726$	16.7005	+	9.17017i	0.619815	+	0.340337i
$727$	−30.8519			−1.14423			−0.572117	−	0.820172i	$-0.693878\pi$
$727$	−30.8519			−1.14423			−0.572117	+	0.820172i	$0.693878\pi$
$728$	−0.406097	−	1.24984i	−0.0150509	−	0.0463221i
$729$	−26.9967	−	0.422527i	−0.999878	−	0.0156491i
$730$	−2.18813	+	1.58977i	−0.0809862	+	0.0588399i
$731$	−51.7371	−	16.8104i	−1.91357	−	0.621756i
$732$	−0.529148	−	1.64312i	−0.0195579	−	0.0607314i
$733$	16.3308	+	22.4774i	0.603191	+	0.830221i	0.995996	−	0.0894005i	$-0.0284951\pi$
$733$	16.3308	+	22.4774i	0.603191	+	0.830221i	−0.392805	+	0.919622i	$0.628495\pi$
$734$	22.1106	+	16.0643i	0.816118	+	0.592944i
$735$	−1.86842	−	1.36495i	−0.0689176	−	0.0503468i
$736$			1.58577i			0.0584524i
$737$	−13.3322	+	30.9410i	−0.491097	+	1.13973i
$738$	−8.74134	+	26.4331i	−0.321773	+	0.973015i
$739$	35.3081	−	11.4723i	1.29883	−	0.422016i	0.423656	−	0.905823i	$-0.360746\pi$
$739$	35.3081	−	11.4723i	1.29883	−	0.422016i	0.875175	+	0.483807i	$0.160746\pi$
$740$	−3.82455	+	5.26405i	−0.140593	+	0.193510i
$741$	3.98227	+	1.30541i	0.146292	+	0.0479555i
$742$	−0.831586	+	2.55936i	−0.0305285	+	0.0939570i
$743$	−9.10192	+	28.0128i	−0.333917	+	1.02769i	0.633336	+	0.773877i	$0.281685\pi$
$743$	−9.10192	+	28.0128i	−0.333917	+	1.02769i	−0.967253	+	0.253814i	$0.918315\pi$
$744$	3.62090	+	1.18695i	0.132749	+	0.0435157i
$745$	14.4618	−	19.9049i	0.529839	−	0.729261i
$746$	18.6585	−	6.06252i	0.683137	−	0.221965i
$747$	−2.72852	+	8.25081i	−0.0998313	+	0.301881i
$748$	14.6465	+	1.36148i	0.535527	+	0.0497807i
$749$			5.91846i			0.216256i
$750$	15.3496	+	11.2135i	0.560490	+	0.409457i
$751$	−9.16692	−	6.66016i	−0.334506	−	0.243033i	0.407834	−	0.913056i	$-0.366284\pi$
$751$	−9.16692	−	6.66016i	−0.334506	−	0.243033i	−0.742340	+	0.670023i	$0.766284\pi$
$752$	−4.02179	−	5.53552i	−0.146660	−	0.201860i
$753$	−11.6286	−	36.1094i	−0.423770	−	1.31590i
$754$	7.25106	+	2.35601i	0.264068	+	0.0858009i
$755$	−6.05516	+	4.39933i	−0.220370	+	0.160108i
$756$	−1.64432	+	4.92912i	−0.0598033	+	0.179270i
$757$	−5.66429	−	17.4329i	−0.205872	−	0.633609i	−0.999676	−	0.0254359i	$-0.991903\pi$
$757$	−5.66429	−	17.4329i	−0.205872	−	0.633609i	0.793804	−	0.608173i	$-0.208097\pi$
$758$	0.517807			0.0188076
$759$	3.62663	−	8.35655i	0.131638	−	0.303323i
$760$	−2.45962			−0.0892197
$761$	13.2052	+	40.6414i	0.478687	+	1.47325i	0.840920	+	0.541160i	$0.182015\pi$
$761$	13.2052	+	40.6414i	0.478687	+	1.47325i	−0.362232	+	0.932088i	$0.617985\pi$
$762$	−29.6274	−	0.0772771i	−1.07329	−	0.00279945i
$763$	−14.2409	+	10.3466i	−0.515554	+	0.374572i
$764$	−8.86405	−	2.88010i	−0.320690	−	0.104199i
$765$	10.5227	−	14.3255i	0.380449	−	0.517939i
$766$	5.44937	+	7.50042i	0.196894	+	0.271001i
$767$	5.91500	+	4.29750i	0.213578	+	0.155174i
$768$	1.02173	−	1.39860i	0.0368683	−	0.0504676i
$769$		−	19.3434i		−	0.697542i	−0.937208	−	0.348771i	$-0.886599\pi$
$769$		−	19.3434i		−	0.697542i	0.937208	−	0.348771i	$-0.113401\pi$
$770$	−0.973273	−	4.32253i	−0.0350743	−	0.155773i
$771$	9.27961	−	6.70512i	0.334197	−	0.241479i
$772$	18.8963	−	6.13978i	0.680093	−	0.220976i
$773$	−14.5771	+	20.0636i	−0.524301	+	0.721638i	−0.986249	−	0.165269i	$-0.947151\pi$
$773$	−14.5771	+	20.0636i	−0.524301	+	0.721638i	0.461948	+	0.886907i	$0.347151\pi$
$774$	35.0549	−	11.1882i	1.26002	−	0.402151i
$775$	2.18587	−	6.72742i	0.0785188	−	0.241656i
$776$	1.67720	−	5.16190i	0.0602081	−	0.185302i
$777$	−2.62782	+	8.01638i	−0.0942724	+	0.287586i
$778$	4.92116	−	6.77339i	0.176432	−	0.242838i
$779$	−16.2501	+	5.27997i	−0.582219	+	0.189175i
$780$	−1.78092	−	2.46472i	−0.0637671	−	0.0882511i
$781$	−21.3879	+	24.3361i	−0.765318	+	0.870813i
$782$		−	7.03308i		−	0.251502i
$783$	−17.5280	−	24.5265i	−0.626400	−	0.876507i
$784$	0.809017	+	0.587785i	0.0288935	+	0.0209923i
$785$	−6.69930	−	9.22079i	−0.239108	−	0.329104i
$786$	36.4800	−	11.7480i	1.30120	−	0.419036i
$787$	−16.8849	−	5.48623i	−0.601881	−	0.195563i	−0.00780181	−	0.999970i	$-0.502483\pi$
$787$	−16.8849	−	5.48623i	−0.601881	−	0.195563i	−0.594079	+	0.804407i	$0.702483\pi$
$788$	−0.0709652	+	0.0515592i	−0.00252803	+	0.00183672i
$789$	0.0778292	−	29.8390i	0.00277079	−	1.06230i
$790$	1.00287	+	3.08652i	0.0356806	+	0.109814i
$791$	18.8601			0.670588
$792$	−8.58275	+	5.03353i	−0.304975	+	0.178859i
$793$	1.30973			0.0465100
$794$	11.6841	+	35.9601i	0.414655	+	1.27618i
$795$	−0.0162414	+	6.22680i	−0.000576022	+	0.220842i
$796$	−18.0031	+	13.0800i	−0.638104	+	0.463609i
$797$	25.6311	+	8.32803i	0.907899	+	0.294994i	0.725493	−	0.688229i	$-0.241612\pi$
$797$	25.6311	+	8.32803i	0.907899	+	0.294994i	0.182405	+	0.983223i	$0.441612\pi$
$798$	−3.03543	+	0.977524i	−0.107453	+	0.0346040i
$799$	17.8371	+	24.5506i	0.631031	+	0.868540i
$800$	−2.60124	−	1.88991i	−0.0919678	−	0.0668185i
$801$	0.0704533	−	13.5055i	0.00248934	−	0.477193i
$802$			27.9962i			0.988580i
$803$	−6.55075	+	1.47498i	−0.231171	+	0.0520510i
$804$	−10.3047	−	14.2613i	−0.363419	−	0.502956i
$805$	−2.01478	+	0.654643i	−0.0710118	+	0.0230731i
$806$	−1.69936	+	2.33896i	−0.0598573	+	0.0823865i
$807$	−2.23036	+	6.80391i	−0.0785125	+	0.239509i
$808$	−2.54897	+	7.84493i	−0.0896726	+	0.275984i
$809$	9.54149	−	29.3657i	0.335461	−	1.03244i	−0.631033	−	0.775756i	$-0.717369\pi$
$809$	9.54149	−	29.3657i	0.335461	−	1.03244i	0.966494	−	0.256687i	$-0.0826311\pi$
$810$	−0.125439	+	12.0226i	−0.00440748	+	0.422433i
$811$	−24.1751	+	33.2742i	−0.848904	+	1.16842i	0.135199	+	0.990818i	$0.456833\pi$
$811$	−24.1751	+	33.2742i	−0.848904	+	1.16842i	−0.984103	+	0.177598i	$0.943167\pi$
$812$	−5.51765	+	1.79279i	−0.193632	+	0.0629147i
$813$	26.4782	−	19.1322i	0.928632	−	0.670997i
$814$	−13.8915	+	8.24465i	−0.486897	+	0.288975i
$815$		−	33.4226i		−	1.17074i
$816$	−4.53147	+	6.20294i	−0.158633	+	0.217146i
$817$	18.2699	+	13.2738i	0.639182	+	0.464393i
$818$	7.41944	+	10.2120i	0.259414	+	0.357053i
$819$	−3.17739	−	2.33393i	−0.111027	−	0.0815542i
$820$	11.7910	+	3.83112i	0.411759	+	0.133789i
$821$	39.9579	−	29.0311i	1.39454	−	1.01319i	0.399191	−	0.916868i	$-0.369291\pi$
$821$	39.9579	−	29.0311i	1.39454	−	1.01319i	0.995350	−	0.0963256i	$-0.0307090\pi$
$822$	−22.4907	−	0.0586626i	−0.784454	−	0.00204609i
$823$	−12.3739	−	38.0831i	−0.431329	−	1.32749i	−0.896802	−	0.442432i	$-0.854116\pi$
$823$	−12.3739	−	38.0831i	−0.431329	−	1.32749i	0.465474	−	0.885062i	$-0.345884\pi$
$824$	−0.580975			−0.0202392
$825$	9.38557	+	15.9083i	0.326764	+	0.553855i
$826$	−5.56353			−0.193580
$827$	−7.45699	−	22.9503i	−0.259305	−	0.798059i	−0.992951	−	0.118527i	$-0.962183\pi$
$827$	−7.45699	−	22.9503i	−0.259305	−	0.798059i	0.733646	−	0.679532i	$-0.237817\pi$
$828$	2.77617	+	3.86329i	0.0964785	+	0.134259i
$829$	−4.53774	+	3.29686i	−0.157602	+	0.114505i	−0.663792	−	0.747918i	$-0.731054\pi$
$829$	−4.53774	+	3.29686i	−0.157602	+	0.114505i	0.506189	+	0.862423i	$0.331054\pi$
$830$	3.68044	+	1.19585i	0.127750	+	0.0415084i
$831$	−15.4294	−	47.9118i	−0.535241	−	1.66204i
$832$	0.772442	+	1.06318i	0.0267796	+	0.0368590i
$833$	−3.58808	−	2.60689i	−0.124320	−	0.0903235i
$834$	−1.33164	−	0.972810i	−0.0461109	−	0.0336857i
$835$			9.32667i			0.322763i
$836$	−5.60791	−	2.41640i	−0.193954	−	0.0835728i
$837$	10.8992	−	3.44733i	0.376733	−	0.119157i
$838$	25.4421	−	8.26663i	0.878881	−	0.285566i
$839$	3.75541	−	5.16888i	0.129651	−	0.178450i	−0.739256	−	0.673424i	$-0.764823\pi$
$839$	3.75541	−	5.16888i	0.129651	−	0.178450i	0.868907	+	0.494975i	$0.164823\pi$
$840$	2.19876	+	0.720767i	0.0758645	+	0.0248688i
$841$	1.43958	−	4.43058i	0.0496407	−	0.152778i
$842$	7.62805	−	23.4767i	0.262880	−	0.809062i
$843$	10.2409	+	3.35704i	0.352717	+	0.115623i
$844$	2.36996	−	3.26197i	0.0815774	−	0.112282i
$845$	−14.3228	+	4.65375i	−0.492718	+	0.160094i
$846$	−19.4888	−	6.44489i	−0.670040	−	0.221580i
$847$	2.02752	−	10.8115i	0.0696665	−	0.371489i
$848$		−	2.69107i		−	0.0924116i
$849$	−3.96412	−	2.89593i	−0.136048	−	0.0993881i
$850$	11.5368	+	8.38198i	0.395709	+	0.287499i
$851$	4.53984	+	6.24856i	0.155624	+	0.214198i
$852$	−5.18650	−	16.1052i	−0.177687	−	0.551756i
$853$	−40.7436	−	13.2384i	−1.39503	−	0.453274i	−0.487452	−	0.873150i	$-0.662074\pi$
$853$	−40.7436	−	13.2384i	−1.39503	−	0.453274i	−0.907582	+	0.419876i	$0.862074\pi$
$854$	−0.806294	+	0.585807i	−0.0275908	+	0.0200459i
$855$	−5.99216	+	4.30598i	−0.204928	+	0.147261i
$856$	−1.82890	−	5.62879i	−0.0625107	−	0.192388i
$857$	36.7582			1.25564			0.627818	−	0.778361i	$-0.283948\pi$
$857$	36.7582			1.25564			0.627818	+	0.778361i	$0.283948\pi$
$858$	−1.63908	−	7.36917i	−0.0559572	−	0.251579i
$859$	5.27164			0.179866			0.0899329	−	0.995948i	$-0.471335\pi$
$859$	5.27164			0.179866			0.0899329	+	0.995948i	$0.471335\pi$
$860$	−5.06355	−	15.5840i	−0.172666	−	0.531410i
$861$	16.0739	+	0.0419257i	0.547798	+	0.00142882i
$862$	−6.05035	+	4.39584i	−0.206076	+	0.149723i
$863$	45.0263	+	14.6299i	1.53271	+	0.498009i	0.949355	−	0.314205i	$-0.101738\pi$
$863$	45.0263	+	14.6299i	1.53271	+	0.498009i	0.583359	+	0.812214i	$0.301738\pi$
$864$	0.0406589	−	5.19599i	0.00138324	−	0.176771i
$865$	−18.6388	−	25.6540i	−0.633737	−	0.872264i
$866$	32.6963	+	23.7553i	1.11107	+	0.807237i
$867$	2.72822	−	3.73455i	0.0926553	−	0.126832i
$868$		−	2.19998i		−	0.0746722i
$869$	−0.745744	+	8.02251i	−0.0252976	+	0.272145i
$870$	−10.8810	+	7.86221i	−0.368900	+	0.266554i
$871$	12.6962	−	4.12524i	0.430194	−	0.139778i
$872$	10.3466	−	14.2409i	0.350380	−	0.482256i
$873$	−4.95076	−	15.5118i	−0.167558	−	0.524993i
$874$	−0.902214	+	2.77673i	−0.0305179	+	0.0939243i
$875$	3.39147	−	10.4379i	0.114652	−	0.352864i
$876$	1.09231	−	3.33220i	0.0369059	−	0.112585i
$877$	20.4355	−	28.1271i	0.690059	−	0.949784i	−0.309941	−	0.950756i	$-0.600309\pi$
$877$	20.4355	−	28.1271i	0.690059	−	0.949784i	1.00000		0.000971441i	$0.000309219\pi$
$878$	−24.4222	+	7.93525i	−0.824209	+	0.267802i
$879$	6.45160	+	8.92875i	0.217607	+	0.301159i
$880$	2.26137	+	3.81022i	0.0762309	+	0.128442i
$881$		−	31.4671i		−	1.06015i	−0.847950	−	0.530076i	$-0.822163\pi$
$881$		−	31.4671i		−	1.06015i	0.847950	−	0.530076i	$-0.177837\pi$
$882$	2.99996	+	0.0156497i	0.101014	+	0.000526953i
$883$	3.10613	+	2.25673i	0.104530	+	0.0759452i	0.638822	−	0.769354i	$-0.279422\pi$
$883$	3.10613	+	2.25673i	0.104530	+	0.0759452i	−0.534293	+	0.845300i	$0.679422\pi$
$884$	−3.42587	−	4.71530i	−0.115224	−	0.158593i
$885$	−12.2536	+	3.94614i	−0.411901	+	0.132648i
$886$	−14.9960	−	4.87251i	−0.503802	−	0.163695i
$887$	23.2367	−	16.8824i	0.780211	−	0.566856i	−0.124831	−	0.992178i	$-0.539839\pi$
$887$	23.2367	−	16.8824i	0.780211	−	0.566856i	0.905042	+	0.425322i	$0.139839\pi$
$888$	0.0220038	−	8.43607i	0.000738400	−	0.283096i
$889$	5.28586	+	16.2682i	0.177282	+	0.545619i
$890$	−6.01417			−0.201596
$891$	−12.0974	+	27.2883i	−0.405278	+	0.914194i
$892$	26.3417			0.881986
$893$	−3.89287	−	11.9810i	−0.130270	−	0.400929i
$894$	−0.0832031	+	31.8993i	−0.00278273	+	1.06687i
$895$	12.0284	−	8.73913i	0.402065	−	0.292117i
$896$	−0.951057	−	0.309017i	−0.0317726	−	0.0103235i
$897$	−3.43575	+	1.10644i	−0.114716	+	0.0369431i
$898$	5.72920	+	7.88557i	0.191186	+	0.263145i
$899$	10.3258	+	7.50215i	0.344385	+	0.250211i
$900$	−9.64581	−	0.0503187i	−0.321527	−	0.00167729i
$901$			11.9352i			0.397619i
$902$	23.1196	+	20.3187i	0.769798	+	0.676540i
$903$	−12.4425	−	17.2199i	−0.414060	−	0.573042i
$904$	−17.9370	+	5.82809i	−0.596577	+	0.193840i
$905$	3.82629	−	5.26644i	0.127190	−	0.175062i
$906$	3.02274	−	9.22114i	0.100424	−	0.306352i
$907$	−9.75889	+	30.0348i	−0.324039	+	0.997288i	0.647834	+	0.761781i	$0.275675\pi$
$907$	−9.75889	+	30.0348i	−0.324039	+	0.997288i	−0.971873	+	0.235507i	$0.924325\pi$
$908$	−2.39600	+	7.37413i	−0.0795141	+	0.244719i
$909$	7.52404	+	23.5744i	0.249557	+	0.781912i
$910$	−1.03192	+	1.42032i	−0.0342079	+	0.0470831i
$911$	−22.4665	+	7.29982i	−0.744350	+	0.241854i	−0.656548	−	0.754284i	$-0.727984\pi$
$911$	−22.4665	+	7.29982i	−0.744350	+	0.241854i	−0.0878016	+	0.996138i	$0.527984\pi$
$912$	2.58479	−	1.86768i	0.0855910	−	0.0618450i
$913$	7.21654	+	6.34229i	0.238833	+	0.209899i
$914$			8.53776i			0.282404i
$915$	−1.36035	+	1.86213i	−0.0449718	+	0.0615601i
$916$	−6.38930	−	4.64210i	−0.211109	−	0.153379i
$917$	−13.0059	−	17.9011i	−0.429493	−	0.591146i
$918$	−0.180327	+	23.0448i	−0.00595167	+	0.760592i
$919$	2.26868	+	0.737139i	0.0748368	+	0.0243160i	0.346196	−	0.938162i	$-0.387473\pi$
$919$	2.26868	+	0.737139i	0.0748368	+	0.0243160i	−0.271359	+	0.962478i	$0.587473\pi$
$920$	1.71388	−	1.24521i	0.0565049	−	0.0410532i
$921$	54.0989	+	0.141106i	1.78262	+	0.00464961i
$922$	−10.4264	−	32.0893i	−0.343376	−	1.05680i
$923$	12.8375			0.422551
$924$	4.30507	+	3.80347i	0.141626	+	0.125125i
$925$	−15.6604			−0.514912
$926$	−6.90658	−	21.2563i	−0.226964	−	0.698525i
$927$	−1.41538	+	1.01710i	−0.0464872	+	0.0334058i
$928$	4.69359	−	3.41010i	0.154075	−	0.111942i
$929$	−4.67700	−	1.51965i	−0.153447	−	0.0498580i	0.231286	−	0.972886i	$-0.425707\pi$
$929$	−4.67700	−	1.51965i	−0.153447	−	0.0498580i	−0.384733	+	0.923028i	$0.625707\pi$
$930$	−1.56042	−	4.84544i	−0.0511681	−	0.158888i
$931$	1.08219	+	1.48951i	0.0354675	+	0.0488168i
$932$	−3.36142	−	2.44221i	−0.110107	−	0.0799974i
$933$	−13.3961	−	9.78632i	−0.438569	−	0.320390i
$934$			9.75505i			0.319195i
$935$	−10.0294	−	16.8987i	−0.327998	−	0.552648i
$936$	3.74311	+	1.23783i	0.122347	+	0.0404599i
$937$	38.0394	−	12.3597i	1.24269	−	0.403775i	0.387396	−	0.921914i	$-0.373375\pi$
$937$	38.0394	−	12.3597i	1.24269	−	0.403775i	0.855297	+	0.518138i	$0.173375\pi$
$938$	−5.97088	+	8.21821i	−0.194956	+	0.268334i
$939$	−13.9927	−	4.58689i	−0.456635	−	0.149687i
$940$	−2.82465	+	8.69337i	−0.0921298	+	0.283547i
$941$	9.54348	−	29.3718i	0.311109	−	0.957494i	−0.666218	−	0.745757i	$-0.732088\pi$
$941$	9.54348	−	29.3718i	0.311109	−	0.957494i	0.977327	−	0.211737i	$-0.0679120\pi$
$942$	14.0419	+	4.60303i	0.457511	+	0.149975i
$943$	8.65013	−	11.9059i	0.281687	−	0.387709i
$944$	5.29123	−	1.71922i	0.172215	−	0.0559560i
$945$	6.61849	−	2.09336i	0.215299	−	0.0680972i
$946$	3.76530	−	40.5060i	0.122420	−	1.31696i
$947$		−	51.1823i		−	1.66320i	−0.555374	−	0.831601i	$-0.687425\pi$
$947$		−	51.1823i		−	1.66320i	0.555374	−	0.831601i	$-0.312575\pi$
$948$	−3.39762	−	2.48208i	−0.110350	−	0.0806143i
$949$	2.15248	+	1.56387i	0.0698724	+	0.0507652i
$950$	−3.47959	−	4.78925i	−0.112893	−	0.155384i
$951$	−5.91478	−	18.3667i	−0.191800	−	0.595581i
$952$	4.21804	+	1.37052i	0.136708	+	0.0444190i
$953$	−9.18834	+	6.67572i	−0.297640	+	0.216248i	−0.726575	−	0.687088i	$-0.758889\pi$
$953$	−9.18834	+	6.67572i	−0.297640	+	0.216248i	0.428935	+	0.903335i	$0.358889\pi$
$954$	−4.71117	−	6.55602i	−0.152530	−	0.212259i
$955$	3.84759	+	11.8417i	0.124505	+	0.383188i
$956$	−1.97944			−0.0640198
$957$	−32.5326	+	7.23603i	−1.05163	+	0.233908i
$958$	−40.2537			−1.30054
$959$	4.01261	+	12.3495i	0.129574	+	0.398787i
$960$	−2.31388	−	0.00603529i	−0.0746801	−	0.000194788i
$961$	21.1640	−	15.3765i	0.682708	−	0.496017i
$962$	6.08744	+	1.97793i	0.196267	+	0.0637710i
$963$	−14.3098	−	10.5111i	−0.461126	−	0.338717i
$964$	8.95168	+	12.3209i	0.288314	+	0.396831i
$965$	−21.4738	−	15.6017i	−0.691267	−	0.502235i
$966$	1.62022	−	2.21786i	0.0521299	−	0.0713585i
$967$			19.4047i			0.624012i	0.950080	+	0.312006i	$0.101001\pi$
$967$			19.4047i			0.624012i	−0.950080	+	0.312006i	$0.898999\pi$
$968$	1.41266	+	10.9089i	0.0454045	+	0.350626i
$969$	−11.4638	+	8.28336i	−0.368271	+	0.266100i
$970$	−6.89590	+	2.24061i	−0.221414	+	0.0719418i
$971$	33.8429	−	46.5808i	1.08607	−	1.49485i	0.233415	−	0.972377i	$-0.425010\pi$
$971$	33.8429	−	46.5808i	1.08607	−	1.49485i	0.852656	−	0.522472i	$-0.174990\pi$
$972$	−8.99742	−	12.7297i	−0.288592	−	0.408307i
$973$	−0.294223	+	0.905525i	−0.00943235	+	0.0290298i
$974$	3.82721	−	11.7789i	0.122632	−	0.377422i
$975$	2.27973	−	6.95453i	0.0730099	−	0.222723i
$976$	0.585807	−	0.806294i	0.0187512	−	0.0258088i
$977$	39.7626	−	12.9197i	1.27212	−	0.413336i	0.406321	−	0.913731i	$-0.366812\pi$
$977$	39.7626	−	12.9197i	1.27212	−	0.413336i	0.865798	+	0.500394i	$0.166812\pi$
$978$	25.3790	+	35.1236i	0.811533	+	1.12313i
$979$	−13.7123	−	5.90849i	−0.438247	−	0.188836i
$980$		−	1.33592i		−	0.0426745i
$981$	0.275477	−	52.8073i	0.00879529	−	1.68601i
$982$	−12.2634	−	8.90989i	−0.391341	−	0.284326i
$983$	−7.01777	−	9.65914i	−0.223832	−	0.308079i	0.682301	−	0.731072i	$-0.260979\pi$
$983$	−7.01777	−	9.65914i	−0.223832	−	0.308079i	−0.906133	+	0.422993i	$0.860979\pi$
$984$	−15.3002	+	4.92724i	−0.487752	+	0.157075i
$985$	0.111449	+	0.0362119i	0.00355105	+	0.00115381i
$986$	−20.8166	+	15.1242i	−0.662936	+	0.481651i
$987$	−0.0309114	+	11.8511i	−0.000983919	+	0.377226i
$988$	0.747680	+	2.30112i	0.0237869	+	0.0732085i
$989$	−19.4506			−0.618493
$990$	12.1796	+	5.32359i	0.387094	+	0.169195i
$991$	11.0338			0.350499			0.175249	−	0.984524i	$-0.443927\pi$
$991$	11.0338			0.350499			0.175249	+	0.984524i	$0.443927\pi$
$992$	0.679831	+	2.09231i	0.0215847	+	0.0664308i
$993$	−0.107784	+	41.3233i	−0.00342042	+	1.31136i
$994$	−7.90298	+	5.74185i	−0.250667	+	0.182120i
$995$	28.2734	+	9.18657i	0.896326	+	0.291234i
$996$	−4.77579	+	1.53799i	−0.151327	+	0.0487330i
$997$	−20.2723	−	27.9024i	−0.642029	−	0.883677i	0.356693	−	0.934222i	$-0.383904\pi$
$997$	−20.2723	−	27.9024i	−0.642029	−	0.883677i	−0.998722	+	0.0505446i	$0.983904\pi$
$998$	−18.4045	−	13.3717i	−0.582585	−	0.423273i
$999$	−14.7152	−	20.5906i	−0.465567	−	0.651458i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.281.6	✓	48
3.2	odd	2		462.2.w.b.281.11	yes	48
11.2	odd	10		462.2.w.b.365.11	yes	48
33.2	even	10	inner	462.2.w.a.365.6	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.6	✓	48	1.1	even	1	trivial
462.2.w.a.365.6	yes	48	33.2	even	10	inner
462.2.w.b.281.11	yes	48	3.2	odd	2
462.2.w.b.365.11	yes	48	11.2	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(-0.00451770 + 1.73204i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.27054 + 0.412823i) q^{5} +(-1.64867 + 0.530935i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.99996 - 0.0156497i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(-0.00451770 + 1.73204i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.27054 + 0.412823i) q^{5} +(-1.64867 + 0.530935i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-2.99996 - 0.0156497i) q^{9} +1.33592i q^{10} +(-1.31245 + 3.04590i) q^{11} +(-1.01442 - 1.40391i) q^{12} +(1.24984 - 0.406097i) q^{13} +(-0.587785 + 0.809017i) q^{14} +(-0.720767 + 2.19876i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-1.37052 + 4.21804i) q^{17} +(-0.912155 - 2.85797i) q^{18} +(1.08219 - 1.48951i) q^{19} +(-1.27054 + 0.412823i) q^{20} +(-1.40391 + 1.01442i) q^{21} +(-3.30239 - 0.306978i) q^{22} +1.58577i q^{23} +(1.02173 - 1.39860i) q^{24} +(-2.60124 - 1.88991i) q^{25} +(0.772442 + 1.06318i) q^{26} +(0.0406589 - 5.19599i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(4.69359 - 3.41010i) q^{29} +(-2.31388 - 0.00603529i) q^{30} +(0.679831 + 2.09231i) q^{31} +1.00000 q^{32} +(-5.26970 - 2.28698i) q^{33} -4.43511 q^{34} +(0.412823 + 1.27054i) q^{35} +(2.43622 - 1.75067i) q^{36} +(3.94038 - 2.86286i) q^{37} +(1.75103 + 0.568943i) q^{38} +(0.697732 + 2.16661i) q^{39} +(-0.785235 - 1.08078i) q^{40} +(-7.50793 - 5.45483i) q^{41} +(-1.39860 - 1.02173i) q^{42} +12.2657i q^{43} +(-0.728540 - 3.23562i) q^{44} +(-3.80510 - 1.25833i) q^{45} +(-1.50816 + 0.490031i) q^{46} +(4.02179 - 5.53552i) q^{47} +(1.64588 + 0.539528i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(0.993586 - 3.05794i) q^{50} +(-7.29965 - 2.39287i) q^{51} +(-0.772442 + 1.06318i) q^{52} +(2.55936 - 0.831586i) q^{53} +(4.95425 - 1.56698i) q^{54} +(-2.92493 + 3.32812i) q^{55} -1.00000i q^{56} +(2.57501 + 1.88114i) q^{57} +(4.69359 + 3.41010i) q^{58} +(3.27016 + 4.50099i) q^{59} +(-0.709287 - 2.20249i) q^{60} +(0.947855 + 0.307977i) q^{61} +(-1.77982 + 1.29312i) q^{62} +(-1.75067 - 2.43622i) q^{63} +(0.309017 + 0.951057i) q^{64} +1.75561 q^{65} +(0.546619 - 5.71850i) q^{66} +10.1583 q^{67} +(-1.37052 - 4.21804i) q^{68} +(-2.74663 - 0.00716404i) q^{69} +(-1.08078 + 0.785235i) q^{70} +(9.29051 + 3.01867i) q^{71} +(2.41782 + 1.77599i) q^{72} +(1.19001 + 1.63791i) q^{73} +(3.94038 + 2.86286i) q^{74} +(3.28517 - 4.49693i) q^{75} +1.84114i q^{76} +(-3.23562 + 0.728540i) q^{77} +(-1.84496 + 1.33310i) q^{78} +(2.31041 - 0.750697i) q^{79} +(0.785235 - 1.08078i) q^{80} +(8.99951 + 0.0938970i) q^{81} +(2.86778 - 8.82611i) q^{82} +(0.895147 - 2.75498i) q^{83} +(0.539528 - 1.64588i) q^{84} +(-3.48261 + 4.79340i) q^{85} +(-11.6654 + 3.79030i) q^{86} +(5.88524 + 8.14492i) q^{87} +(2.85213 - 1.69274i) q^{88} +4.50189i q^{89} +(0.0209068 - 4.00771i) q^{90} +(1.06318 + 0.772442i) q^{91} +(-0.932094 - 1.28292i) q^{92} +(-3.62704 + 1.16805i) q^{93} +(6.50739 + 2.11438i) q^{94} +(1.98987 - 1.44573i) q^{95} +(-0.00451770 + 1.73204i) q^{96} +(1.67720 + 5.16190i) q^{97} -1.00000 q^{98} +(3.98496 - 9.11702i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more