LMFDB - Embedded newform 462.2.w.b.281.11

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			281.11
Character	$\chi$	$=$	462.281
Dual form			462.2.w.b.365.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(1.64588 - 0.539528i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.27054 - 0.412823i) q^{5} +(-1.02173 - 1.39860i) q^{6} +(0.587785 + 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.41782 - 1.77599i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(1.64588 - 0.539528i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.27054 - 0.412823i) q^{5} +(-1.02173 - 1.39860i) q^{6} +(0.587785 + 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.41782 - 1.77599i) 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} +(-2.31388 + 0.00603529i) q^{15} +(0.309017 - 0.951057i) q^{16} +(1.37052 - 4.21804i) q^{17} +(-2.43622 - 1.75067i) 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} +(1.64867 + 0.530935i) q^{24} +(-2.60124 - 1.88991i) q^{25} +(-0.772442 - 1.06318i) q^{26} +(3.02123 - 4.22755i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(-4.69359 + 3.41010i) q^{29} +(0.720767 + 2.19876i) q^{30} +(0.679831 + 2.09231i) q^{31} -1.00000 q^{32} +(0.516781 - 5.72127i) q^{33} -4.43511 q^{34} +(-0.412823 - 1.27054i) q^{35} +(-0.912155 + 2.85797i) q^{36} +(3.94038 - 2.86286i) q^{37} +(-1.75103 - 0.568943i) q^{38} +(1.83798 - 1.34271i) q^{39} +(-0.785235 - 1.08078i) q^{40} +(7.50793 + 5.45483i) q^{41} +(0.530935 - 1.64867i) 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} +(-0.00451770 - 1.73204i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-0.993586 + 3.05794i) q^{50} +(-0.0200365 - 7.68181i) 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} +(0.977524 - 3.03543i) q^{57} +(4.69359 + 3.41010i) q^{58} +(-3.27016 - 4.50099i) q^{59} +(1.86842 - 1.36495i) q^{60} +(0.947855 + 0.307977i) q^{61} +(1.77982 - 1.29312i) q^{62} +(2.85797 + 0.912155i) q^{63} +(0.309017 + 0.951057i) q^{64} -1.75561 q^{65} +(-5.60095 + 1.27648i) q^{66} +10.1583 q^{67} +(1.37052 + 4.21804i) q^{68} +(-0.855569 - 2.60999i) q^{69} +(-1.08078 + 0.785235i) q^{70} +(-9.29051 - 3.01867i) q^{71} +(2.99996 - 0.0156497i) q^{72} +(1.19001 + 1.63791i) q^{73} +(-3.94038 - 2.86286i) q^{74} +(-5.30099 - 1.70712i) 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} +(2.69170 - 8.58806i) q^{81} +(2.86778 - 8.82611i) q^{82} +(-0.895147 + 2.75498i) q^{83} +(-1.73204 + 0.00451770i) 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} +(2.37259 + 3.23002i) q^{90} +(1.06318 + 0.772442i) q^{91} +(0.932094 + 1.28292i) q^{92} +(2.24778 + 3.07689i) q^{93} +(6.50739 + 2.11438i) q^{94} +(-1.98987 + 1.44573i) q^{95} +(-1.64588 + 0.539528i) q^{96} +(1.67720 + 5.16190i) q^{97} +1.00000 q^{98} +(-2.23623 - 9.69532i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * 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
$3$	1.64588	−	0.539528i	0.950247	−	0.311497i
$3$	1.64588	−	0.539528i	0.950247	−	0.311497i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−1.27054	−	0.412823i	−0.568202	−	0.184620i	0.0108066	−	0.999942i	$-0.496560\pi$
$5$	−1.27054	−	0.412823i	−0.568202	−	0.184620i	−0.579008	+	0.815322i	$0.696560\pi$
$6$	−1.02173	−	1.39860i	−0.417118	−	0.570975i
$7$	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
$9$	2.41782	−	1.77599i	0.805940	−	0.591998i
$10$			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
$15$	−2.31388	+	0.00603529i	−0.597440	+	0.00155831i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	1.37052	−	4.21804i	0.332401	−	1.02303i	−0.635587	−	0.772029i	$-0.719242\pi$
$17$	1.37052	−	4.21804i	0.332401	−	1.02303i	0.967988	−	0.250996i	$-0.0807581\pi$
$18$	−2.43622	−	1.75067i	−0.574222	−	0.412637i
$19$	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	$-0.947132\pi$
$23$		−	1.58577i		−	0.330657i	0.986239	−	0.165328i	$-0.0528684\pi$
$24$	1.64867	+	0.530935i	0.336533	+	0.108377i
$25$	−2.60124	−	1.88991i	−0.520249	−	0.377983i
$26$	−0.772442	−	1.06318i	−0.151488	−	0.208506i
$27$	3.02123	−	4.22755i	0.581437	−	0.813592i
$28$	−0.951057	−	0.309017i	−0.179733	−	0.0583987i
$29$	−4.69359	+	3.41010i	−0.871579	+	0.633239i	−0.931010	−	0.364993i	$-0.881071\pi$
$29$	−4.69359	+	3.41010i	−0.871579	+	0.633239i	0.0594315	+	0.998232i	$0.481071\pi$
$30$	0.720767	+	2.19876i	0.131593	+	0.401437i
$31$	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
$33$	0.516781	−	5.72127i	0.0899600	−	0.995945i
$34$	−4.43511			−0.760615
$35$	−0.412823	−	1.27054i	−0.0697798	−	0.214760i
$36$	−0.912155	+	2.85797i	−0.152026	+	0.476328i
$37$	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
$39$	1.83798	−	1.34271i	0.294312	−	0.215005i
$40$	−0.785235	−	1.08078i	−0.124157	−	0.170887i
$41$	7.50793	+	5.45483i	1.17254	+	0.851902i	0.991311	−	0.131539i	$-0.0419917\pi$
$41$	7.50793	+	5.45483i	1.17254	+	0.851902i	0.181231	+	0.983441i	$0.441992\pi$
$42$	0.530935	−	1.64867i	0.0819250	−	0.254395i
$43$			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	−0.994404	−	0.105648i	$-0.966308\pi$
$47$	−4.02179	+	5.53552i	−0.586639	+	0.807439i	0.407765	+	0.913087i	$0.366308\pi$
$48$	−0.00451770	−	1.73204i	−0.000652074	−	0.249999i
$49$	−0.309017	+	0.951057i	−0.0441453	+	0.135865i
$50$	−0.993586	+	3.05794i	−0.140514	+	0.432459i
$51$	−0.0200365	−	7.68181i	−0.00280567	−	1.07567i
$52$	−0.772442	+	1.06318i	−0.107118	+	0.147436i
$53$	−2.55936	+	0.831586i	−0.351555	+	0.114227i	−0.479471	−	0.877558i	$-0.659171\pi$
$53$	−2.55936	+	0.831586i	−0.351555	+	0.114227i	0.127916	+	0.991785i	$0.459171\pi$
$54$	−4.95425	−	1.56698i	−0.674188	−	0.213239i
$55$	−2.92493	+	3.32812i	−0.394397	+	0.448763i
$56$			1.00000i			0.133631i
$57$	0.977524	−	3.03543i	0.129476	−	0.402052i
$58$	4.69359	+	3.41010i	0.616299	+	0.447768i
$59$	−3.27016	−	4.50099i	−0.425738	−	0.585979i	0.541230	−	0.840875i	$-0.317959\pi$
$59$	−3.27016	−	4.50099i	−0.425738	−	0.585979i	−0.966969	+	0.254896i	$0.917959\pi$
$60$	1.86842	−	1.36495i	0.241212	−	0.176214i
$61$	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
$63$	2.85797	+	0.912155i	0.360070	+	0.114921i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−1.75561			−0.217757
$66$	−5.60095	+	1.27648i	−0.689429	+	0.157124i
$67$	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
$69$	−0.855569	−	2.60999i	−0.102998	−	0.314206i
$70$	−1.08078	+	0.785235i	−0.129178	+	0.0938536i
$71$	−9.29051	−	3.01867i	−1.10258	−	0.358250i	−0.299485	−	0.954101i	$-0.596815\pi$
$71$	−9.29051	−	3.01867i	−1.10258	−	0.358250i	−0.803095	+	0.595851i	$0.796815\pi$
$72$	2.99996	−	0.0156497i	0.353549	−	0.00184434i
$73$	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
$75$	−5.30099	−	1.70712i	−0.612105	−	0.197121i
$76$			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
$81$	2.69170	−	8.58806i	0.299078	−	0.954229i
$82$	2.86778	−	8.82611i	0.316693	−	0.974680i
$83$	−0.895147	+	2.75498i	−0.0982551	+	0.302398i	−0.988088	−	0.153888i	$-0.950821\pi$
$83$	−0.895147	+	2.75498i	−0.0982551	+	0.302398i	0.889833	+	0.456286i	$0.150821\pi$
$84$	−1.73204	+	0.00451770i	−0.188982	+	0.000492921i
$85$	−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	$-0.923312\pi$
$89$		−	4.50189i		−	0.477199i	0.971118	−	0.238600i	$-0.0766884\pi$
$90$	2.37259	+	3.23002i	0.250093	+	0.340474i
$91$	1.06318	+	0.772442i	0.111451	+	0.0809739i
$92$	0.932094	+	1.28292i	0.0971775	+	0.133753i
$93$	2.24778	+	3.07689i	0.233084	+	0.319059i
$94$	6.50739	+	2.11438i	0.671187	+	0.218082i
$95$	−1.98987	+	1.44573i	−0.204157	+	0.148328i
$96$	−1.64588	+	0.539528i	−0.167982	+	0.0550653i
$97$	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
$99$	−2.23623	−	9.69532i	−0.224749	−	0.974417i
$100$	3.21531			0.321531
$101$	2.54897	+	7.84493i	0.253632	+	0.780600i	0.994096	+	0.108504i	$0.0346059\pi$
$101$	2.54897	+	7.84493i	0.253632	+	0.780600i	−0.740464	+	0.672096i	$0.765394\pi$
$102$	−7.29965	+	2.39287i	−0.722773	+	0.236929i
$103$	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
$105$	−1.36495	−	1.86842i	−0.133205	−	0.182339i
$106$	1.58177	+	2.17712i	0.153635	+	0.211461i
$107$	−4.78813	−	3.47878i	−0.462886	−	0.336307i	0.331776	−	0.943358i	$-0.392352\pi$
$107$	−4.78813	−	3.47878i	−0.462886	−	0.336307i	−0.794663	+	0.607051i	$0.792352\pi$
$108$	0.0406589	+	5.19599i	0.00391241	+	0.499985i
$109$			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	$0.547287\pi$
$113$	−11.0857	+	15.2581i	−1.04285	+	1.43537i	−0.894843	+	0.446380i	$0.852713\pi$
$114$	−3.18893	+	0.00831770i	−0.298671	+	0.000779024i
$115$	−0.654643	+	2.01478i	−0.0610458	+	0.187880i
$116$	1.79279	−	5.51765i	0.166457	−	0.512301i
$117$	2.30066	−	3.20157i	0.212696	−	0.295985i
$118$	−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
$123$	15.3002	+	4.92724i	1.37957	+	0.444274i
$124$	−1.77982	−	1.29312i	−0.159833	−	0.116125i
$125$	6.45095	+	8.87897i	0.576991	+	0.794160i
$126$	−0.0156497	−	2.99996i	−0.00139419	−	0.267258i
$127$	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
$129$	6.61767	+	20.1878i	0.582654	+	1.77744i
$130$	0.542514	+	1.66969i	0.0475816	+	0.146441i
$131$	22.1270			1.93324			0.966620	−	0.256213i	$-0.0824747\pi$
$131$	22.1270			1.93324			0.966620	+	0.256213i	$0.0824747\pi$
$132$	2.94479	+	4.93236i	0.256311	+	0.429307i
$133$	1.84114			0.159647
$134$	−3.13908	−	9.66108i	−0.271175	−	0.834590i
$135$	−5.58382	+	4.12402i	−0.480578	+	0.354939i
$136$	3.58808	−	2.60689i	0.307675	−	0.223539i
$137$	−12.3495	−	4.01261i	−1.05509	−	0.342820i	−0.270427	−	0.962740i	$-0.587165\pi$
$137$	−12.3495	−	4.01261i	−1.05509	−	0.342820i	−0.784665	+	0.619920i	$0.787165\pi$
$138$	−2.21786	+	1.62022i	−0.188797	+	0.137923i
$139$	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
$141$	−3.63280	+	11.2807i	−0.305937	+	0.950002i
$142$			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
$147$	0.00451770	+	1.73204i	0.000372613	+	0.142857i
$148$	−1.50509	+	4.63220i	−0.123718	+	0.380764i
$149$	−5.69121	+	17.5157i	−0.466242	+	1.43495i	0.391172	+	0.920318i	$0.372070\pi$
$149$	−5.69121	+	17.5157i	−0.466242	+	1.43495i	−0.857414	+	0.514628i	$0.827930\pi$
$150$	0.0145258	+	5.56907i	0.00118603	+	0.454712i
$151$	−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
$156$	−0.697732	+	2.16661i	−0.0558632	+	0.173468i
$157$	−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
$159$	−3.76372	+	2.74953i	−0.298483	+	0.218052i
$160$	1.27054	+	0.412823i	0.100445	+	0.0326365i
$161$	1.28292	−	0.932094i	0.101108	−	0.0734593i
$162$	−8.99951	+	0.0938970i	−0.707068	+	0.00737724i
$163$	−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
$165$	−3.01846	+	7.05575i	−0.234987	+	0.549289i
$166$	2.89676			0.224832
$167$	−2.15739	−	6.63975i	−0.166943	−	0.513799i	0.832231	−	0.554429i	$-0.187063\pi$
$167$	−2.15739	−	6.63975i	−0.166943	−	0.513799i	−0.999174	+	0.0406302i	$0.987063\pi$
$168$	0.539528	+	1.64588i	0.0416255	+	0.126982i
$169$	−9.12004	+	6.62610i	−0.701542	+	0.509700i
$170$	5.63497	+	1.83091i	0.432183	+	0.140425i
$171$	−0.0288133	−	5.52334i	−0.00220341	−	0.422380i
$172$	−7.20958	−	9.92314i	−0.549726	−	0.756632i
$173$	19.2032	+	13.9520i	1.46000	+	1.06075i	0.983364	+	0.181646i	$0.0581426\pi$
$173$	19.2032	+	13.9520i	1.46000	+	1.06075i	0.476632	+	0.879103i	$0.341857\pi$
$174$	9.56492	+	3.08027i	0.725115	+	0.233515i
$175$		−	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	−0.980193	−	0.198044i	$-0.936541\pi$
$179$	−6.54165	+	9.00381i	−0.488946	+	0.672976i	0.491247	+	0.871020i	$0.336541\pi$
$180$	2.33876	−	3.25460i	0.174321	−	0.242583i
$181$	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
$183$	1.72621	−	0.00450249i	0.127605	−	0.000332834i
$184$	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
$189$	5.19599	−	0.0406589i	0.377953	−	0.00295750i
$190$	1.98987	+	1.44573i	0.144360	+	0.104884i
$191$	−5.47828	−	7.54021i	−0.396395	−	0.545590i	0.563440	−	0.826157i	$-0.309478\pi$
$191$	−5.47828	−	7.54021i	−0.396395	−	0.545590i	−0.959835	+	0.280567i	$0.909478\pi$
$192$	1.02173	+	1.39860i	0.0737367	+	0.100935i
$193$	−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
$195$	−2.88952	+	0.947201i	−0.206923	+	0.0678305i
$196$	−0.309017	−	0.951057i	−0.0220726	−	0.0679326i
$197$	−0.0877178			−0.00624963			−0.00312482	−	0.999995i	$-0.500995\pi$
$197$	−0.0877178			−0.00624963			−0.00312482	+	0.999995i	$0.500995\pi$
$198$	−8.52977	+	5.12280i	−0.606184	+	0.364061i
$199$	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
$201$	16.7192	−	5.48067i	1.17928	−	0.386576i
$202$	6.67330	−	4.84843i	0.469532	−	0.341135i
$203$	−5.51765	−	1.79279i	−0.387263	−	0.125829i
$204$	4.53147	+	6.20294i	0.317266	+	0.434293i
$205$	−7.28723	−	10.0300i	−0.508962	−	0.700527i
$206$	−0.470019	−	0.341489i	−0.0327478	−	0.0237926i
$207$	−2.81632	−	3.83411i	−0.195748	−	0.266489i
$208$		−	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
$213$	−16.9197	+	0.0441317i	−1.15932	+	0.00302385i
$214$	−1.82890	+	5.62879i	−0.125021	+	0.384776i
$215$	5.06355	−	15.5840i	0.345331	−	1.06282i
$216$	4.92912	−	1.64432i	0.335384	−	0.111882i
$217$	−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
$222$	−8.02998	−	2.58596i	−0.538937	−	0.173558i
$223$	−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
$225$	−9.64581	+	0.0503187i	−0.643054	+	0.00335458i
$226$	17.9370	+	5.82809i	1.19315	+	0.387679i
$227$	−6.27281	+	4.55747i	−0.416341	+	0.302490i	−0.776164	−	0.630531i	$-0.782837\pi$
$227$	−6.27281	+	4.55747i	−0.416341	+	0.302490i	0.359823	+	0.933021i	$0.382837\pi$
$228$	0.993345	+	3.03029i	0.0657859	+	0.200686i
$229$	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
$231$	4.93236	−	2.94479i	0.324526	−	0.193753i
$232$	−5.80160			−0.380894
$233$	−1.28395	−	3.95158i	−0.0841142	−	0.258877i	0.900150	−	0.435580i	$-0.143457\pi$
$233$	−1.28395	−	3.95158i	−0.0841142	−	0.258877i	−0.984264	+	0.176703i	$0.943457\pi$
$234$	−3.75582	−	1.19871i	−0.245525	−	0.0783624i
$235$	7.39502	−	5.37280i	0.482398	−	0.350483i
$236$	5.29123	+	1.71922i	0.344430	+	0.111912i
$237$	3.39762	−	2.48208i	0.220699	−	0.161229i
$238$	−2.60689	−	3.58808i	−0.168980	−	0.232581i
$239$	−1.60140	−	1.16349i	−0.103586	−	0.0752598i	0.534786	−	0.844987i	$-0.320392\pi$
$239$	−1.60140	−	1.16349i	−0.103586	−	0.0752598i	−0.638373	+	0.769728i	$0.720392\pi$
$240$	−0.709287	+	2.20249i	−0.0457843	+	0.142170i
$241$		−	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
$246$	−0.0419257	−	16.0739i	−0.00267308	−	1.02484i
$247$	0.747680	−	2.30112i	0.0475738	−	0.146417i
$248$	−0.679831	+	2.09231i	−0.0431693	+	0.132862i
$249$	0.0130867	+	5.01731i	0.000829334	+	0.317959i
$250$	6.45095	−	8.87897i	0.407994	−	0.561556i
$251$	20.8302	−	6.76813i	1.31479	−	0.427201i	0.434087	−	0.900871i	$-0.357071\pi$
$251$	20.8302	−	6.76813i	1.31479	−	0.427201i	0.880702	+	0.473670i	$0.157071\pi$
$252$	−2.84829	+	0.941922i	−0.179426	+	0.0593355i
$253$	−4.83010	−	2.08124i	−0.303666	−	0.130847i
$254$		−	17.1054i		−	1.07329i
$255$	−3.14577	+	9.76830i	−0.196996	+	0.611715i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	3.88516	+	5.34747i	0.242350	+	0.333566i	0.912814	−	0.408376i	$-0.133905\pi$
$257$	3.88516	+	5.34747i	0.242350	+	0.333566i	−0.670464	+	0.741942i	$0.733905\pi$
$258$	17.1548	−	12.5322i	1.06801	−	0.780218i
$259$	4.63220	+	1.50509i	0.287831	+	0.0935219i
$260$	1.42032	−	1.03192i	0.0880845	−	0.0639971i
$261$	−5.29196	+	16.5808i	−0.327564	+	1.02632i
$262$	−6.83760	−	21.0440i	−0.422429	−	1.30010i
$263$	17.2276			1.06230			0.531150	−	0.847278i	$-0.321760\pi$
$263$	17.2276			1.06230			0.531150	+	0.847278i	$0.321760\pi$
$264$	3.78096	−	4.32485i	0.232702	−	0.266176i
$265$	3.59506			0.220843
$266$	−0.568943	−	1.75103i	−0.0348841	−	0.107362i
$267$	−2.42890	−	7.40956i	−0.148646	−	0.453457i
$268$	−8.21821	+	5.97088i	−0.502007	+	0.364729i
$269$	−3.93159	−	1.27745i	−0.239713	−	0.0778875i	0.186697	−	0.982418i	$-0.440222\pi$
$269$	−3.93159	−	1.27745i	−0.239713	−	0.0778875i	−0.426410	+	0.904530i	$0.640222\pi$
$270$	5.64767	+	4.03613i	0.343706	+	0.245631i
$271$	−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
$273$	2.16661	+	0.697732i	0.131129	+	0.0422286i
$274$			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
$279$	5.35963	+	3.85144i	0.320873	+	0.230580i
$280$	0.412823	−	1.27054i	0.0246709	−	0.0759291i
$281$	−1.92276	+	5.91765i	−0.114702	+	0.353017i	−0.991885	−	0.127140i	$-0.959420\pi$
$281$	−1.92276	+	5.91765i	−0.114702	+	0.353017i	0.877183	+	0.480157i	$0.159420\pi$
$282$	11.8511	−	0.0309114i	0.705725	−	0.00184074i
$283$	−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
$288$	−2.41782	+	1.77599i	−0.142471	+	0.104651i
$289$	−2.16025	−	1.56951i	−0.127073	−	0.0923241i
$290$	−4.55562	−	6.27028i	−0.267515	−	0.368203i
$291$	5.54546	+	7.59096i	0.325081	+	0.444990i
$292$	−1.92548	−	0.625628i	−0.112680	−	0.0366121i
$293$	−5.14528	+	3.73827i	−0.300591	+	0.218392i	−0.727849	−	0.685738i	$-0.759480\pi$
$293$	−5.14528	+	3.73827i	−0.300591	+	0.218392i	0.427258	+	0.904130i	$0.359480\pi$
$294$	1.64588	−	0.539528i	0.0959895	−	0.0314659i
$295$	2.29675	+	7.06867i	0.133722	+	0.411554i
$296$	4.87058			0.283097
$297$	−8.91145	−	14.7508i	−0.517095	−	0.855928i
$298$	18.4171			1.06688
$299$	−0.643977	−	1.98196i	−0.0372422	−	0.114620i
$300$	5.29201	−	1.73475i	0.305534	−	0.100156i
$301$	−9.92314	+	7.20958i	−0.571960	+	0.415553i
$302$	5.32836	+	1.73129i	0.306613	+	0.0996245i
$303$	8.42786	+	11.5365i	0.484168	+	0.662757i
$304$	−1.08219	−	1.48951i	−0.0620681	−	0.0854294i
$305$	−1.07715	−	0.782592i	−0.0616772	−	0.0448111i
$306$	−10.7233	+	7.87672i	−0.613010	+	0.450282i
$307$		−	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	−0.618992	−	0.785398i	$-0.712459\pi$
$311$	5.62994	−	7.74895i	0.319245	−	0.439403i	0.938236	+	0.345995i	$0.112459\pi$
$312$	2.27618	−	0.00593696i	0.128863	−	0.000336114i
$313$	−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
$315$	−3.25460	−	2.33876i	−0.183376	−	0.131774i
$316$	−1.42791	+	1.96535i	−0.0803262	+	0.110560i
$317$	10.5951	−	3.44255i	0.595079	−	0.193353i	0.00403435	−	0.999992i	$-0.498716\pi$
$317$	10.5951	−	3.44255i	0.595079	−	0.193353i	0.591044	+	0.806639i	$0.298716\pi$
$318$	3.77801	+	2.72986i	0.211861	+	0.153083i
$319$	4.22670	+	18.7718i	0.236650	+	1.05102i
$320$		−	1.33592i		−	0.0746803i
$321$	−9.75758	−	3.14232i	−0.544615	−	0.175387i
$322$	−1.28292	−	0.932094i	−0.0714942	−	0.0519436i
$323$	−4.79965	−	6.60615i	−0.267060	−	0.367576i
$324$	2.87030	+	8.53003i	0.159461	+	0.473890i
$325$	−4.01862	−	1.30573i	−0.222913	−	0.0724288i
$326$	−20.2403	+	14.7054i	−1.12101	+	0.814459i
$327$	9.49713	+	28.9718i	0.525192	+	1.60214i
$328$	2.86778	+	8.82611i	0.158346	+	0.487340i
$329$	−6.84228			−0.377227
$330$	7.64317	+	0.690379i	0.420743	+	0.0380041i
$331$	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
$333$	4.44272	−	13.9200i	0.243460	−	0.762809i
$334$	−5.64811	+	4.10359i	−0.309051	+	0.224539i
$335$	−12.9065	−	4.19356i	−0.705155	−	0.229119i
$336$	1.39860	−	1.02173i	0.0762998	−	0.0557397i
$337$	−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
$339$	−10.0135	+	31.0941i	−0.543858	+	1.68880i
$340$		−	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
$345$	0.00957060	+	3.66928i	0.000515264	+	0.197548i
$346$	7.33499	−	22.5748i	0.394331	−	1.21363i
$347$	5.67216	−	17.4571i	0.304497	−	0.937146i	−0.675367	−	0.737482i	$-0.736015\pi$
$347$	5.67216	−	17.4571i	0.304497	−	0.937146i	0.979864	−	0.199664i	$-0.0639852\pi$
$348$	−0.0262099	−	10.0486i	−0.00140500	−	0.538663i
$349$	−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	$0.137008\pi$
$353$			15.6790i			0.834511i	−0.908789	+	0.417256i	$0.862992\pi$
$354$	−2.95387	+	9.17241i	−0.156996	+	0.487508i
$355$	10.5578	+	7.67067i	0.560348	+	0.407117i
$356$	2.64614	+	3.64211i	0.140245	+	0.193031i
$357$	6.20294	−	4.53147i	0.328294	−	0.239831i
$358$	10.5846	+	3.43915i	0.559414	+	0.181765i
$359$	−12.8921	+	9.36667i	−0.680420	+	0.494354i	−0.873497	−	0.486830i	$-0.838153\pi$
$359$	−12.8921	+	9.36667i	−0.680420	+	0.494354i	0.193077	+	0.981184i	$0.438153\pi$
$360$	−3.81802	−	1.21857i	−0.201227	−	0.0642241i
$361$	4.82382	+	14.8462i	0.253885	+	0.781379i
$362$	−4.87280			−0.256109
$363$	−16.7481	−	9.08293i	−0.879050	−	0.476730i
$364$	−1.31416			−0.0688805
$365$	−0.835790	−	2.57230i	−0.0437472	−	0.134640i
$366$	−0.537712	−	1.64034i	−0.0281066	−	0.0857418i
$367$	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
$369$	27.8406	−	0.145234i	1.44932	−	0.00756059i
$370$	3.82455	+	5.26405i	0.198829	+	0.273665i
$371$	−2.17712	−	1.58177i	−0.113030	−	0.0821214i
$372$	−3.62704	−	1.16805i	−0.188053	−	0.0605604i
$373$		−	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
$378$	−1.64432	−	4.92912i	−0.0845747	−	0.253527i
$379$	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
$381$	29.6274	−	0.0772771i	1.51786	−	0.00395903i
$382$	−5.47828	+	7.54021i	−0.280293	+	0.385791i
$383$	−8.81727	+	2.86491i	−0.450542	+	0.146390i	−0.525494	−	0.850797i	$-0.676119\pi$
$383$	−8.81727	+	2.86491i	−0.450542	+	0.146390i	0.0749525	+	0.997187i	$0.476119\pi$
$384$	1.01442	−	1.40391i	0.0517667	−	0.0716429i
$385$	−4.41173	−	0.410099i	−0.224843	−	0.0209006i
$386$			19.8688i			1.01129i
$387$	21.7838	+	29.6562i	1.10733	+	1.50751i
$388$	−4.39098	−	3.19023i	−0.222918	−	0.161960i
$389$	4.92116	+	6.77339i	0.249513	+	0.343425i	0.915341	−	0.402681i	$-0.131921\pi$
$389$	4.92116	+	6.77339i	0.249513	+	0.343425i	−0.665828	+	0.746105i	$0.731921\pi$
$390$	1.79375	+	2.45539i	0.0908302	+	0.124334i
$391$	−6.68886	−	2.17334i	−0.338270	−	0.109911i
$392$	−0.809017	+	0.587785i	−0.0408615	+	0.0296876i
$393$	36.4182	−	11.9381i	1.83706	−	0.602198i
$394$	0.0271063	+	0.0834246i	0.00136559	+	0.00420287i
$395$	−3.24536			−0.163292
$396$	7.50791	+	6.52926i	0.377287	+	0.328108i
$397$	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
$399$	3.03029	−	0.993345i	0.151704	−	0.0497295i
$400$	−2.60124	+	1.88991i	−0.130062	+	0.0944957i
$401$	−26.6260	−	8.65130i	−1.32964	−	0.432025i	−0.443844	−	0.896104i	$-0.646385\pi$
$401$	−26.6260	−	8.65130i	−1.32964	−	0.432025i	−0.885794	+	0.464079i	$0.846385\pi$
$402$	−10.3790	−	14.2073i	−0.517655	−	0.708597i
$403$	1.69936	+	2.33896i	0.0846510	+	0.116512i
$404$	−6.67330	−	4.84843i	−0.332009	−	0.241219i
$405$	−6.96525	+	9.80025i	−0.346106	+	0.486979i
$406$			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
$411$	−22.4907	+	0.0586626i	−1.10939	+	0.00289362i
$412$	−0.179531	+	0.552540i	−0.00884487	+	0.0272217i
$413$	1.71922	−	5.29123i	0.0845975	−	0.260364i
$414$	−2.77617	+	3.86329i	−0.136441	+	0.189870i
$415$	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	$0.226677\pi$
$419$			26.7514i			1.30689i	−0.756974	+	0.653445i	$0.773323\pi$
$420$	2.20249	+	0.709287i	0.107471	+	0.0346097i
$421$	−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
$423$	0.107080	+	20.5266i	0.00520639	+	0.998036i
$424$	−2.55936	−	0.831586i	−0.124293	−	0.0403854i
$425$	−11.5368	+	8.38198i	−0.559617	+	0.406586i
$426$	5.27044	+	16.0779i	0.255354	+	0.778979i
$427$	0.307977	+	0.947855i	0.0149040	+	0.0458699i
$428$	5.91846			0.286080
$429$	−1.67750	−	7.36052i	−0.0809903	−	0.355369i
$430$	−16.3860			−0.790202
$431$	−2.31103	−	7.11262i	−0.111318	−	0.342603i	0.879843	−	0.475264i	$-0.157648\pi$
$431$	−2.31103	−	7.11262i	−0.111318	−	0.342603i	−0.991161	+	0.132662i	$0.957648\pi$
$432$	−3.08702	−	4.17975i	−0.148524	−	0.201098i
$433$	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
$435$	10.8398	−	7.91887i	0.519730	−	0.379681i
$436$	−10.3466	−	14.2409i	−0.495512	−	0.682013i
$437$	−2.36203	−	1.71611i	−0.112991	−	0.0820929i
$438$	1.07492	−	3.33785i	0.0513615	−	0.159489i
$439$			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	−0.529949	−	0.848030i	$-0.677789\pi$
$443$	9.26806	−	12.7564i	0.440339	−	0.606074i	0.970287	+	0.241955i	$0.0777888\pi$
$444$	0.0220038	+	8.43607i	0.00104426	+	0.400358i
$445$	−1.85848	+	5.71982i	−0.0881005	+	0.271145i
$446$	−8.14004	+	25.0525i	−0.385442	+	1.18627i
$447$	0.0832031	+	31.8993i	0.00393537	+	1.50879i
$448$	−0.587785	+	0.809017i	−0.0277702	+	0.0382225i
$449$	−9.27004	+	3.01202i	−0.437480	+	0.142146i	−0.519473	−	0.854487i	$-0.673872\pi$
$449$	−9.27004	+	3.01202i	−0.437480	+	0.142146i	0.0819925	+	0.996633i	$0.473872\pi$
$450$	3.02857	+	9.15816i	0.142768	+	0.431720i
$451$	26.4686	−	15.7092i	1.24636	−	0.739717i
$452$		−	18.8601i		−	0.887105i
$453$	−2.97460	+	9.23678i	−0.139759	+	0.433982i
$454$	6.27281	+	4.55747i	0.294398	+	0.213892i
$455$	−1.03192	−	1.42032i	−0.0483773	−	0.0665856i
$456$	2.57501	−	1.88114i	0.120586	−	0.0880923i
$457$	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
$459$	−13.6913	−	18.5376i	−0.639054	−	0.865263i
$460$	−0.654643	−	2.01478i	−0.0305229	−	0.0939398i
$461$	33.7406			1.57146			0.785729	−	0.618570i	$-0.212288\pi$
$461$	33.7406			1.57146			0.785729	+	0.618570i	$0.212288\pi$
$462$	−4.32485	−	3.78096i	−0.201210	−	0.175906i
$463$	−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
$465$	−1.58567	−	4.83724i	−0.0735339	−	0.224321i
$466$	−3.36142	+	2.44221i	−0.155715	+	0.113133i
$467$	−9.27761	−	3.01448i	−0.429316	−	0.139493i	0.0863848	−	0.996262i	$-0.472469\pi$
$467$	−9.27761	−	3.01448i	−0.429316	−	0.139493i	−0.515701	+	0.856768i	$0.672469\pi$
$468$	0.0205662	+	3.94242i	0.000950672	+	0.182238i
$469$	5.97088	+	8.21821i	0.275709	+	0.379482i
$470$	−7.39502	−	5.37280i	−0.341107	−	0.247829i
$471$	−14.0658	−	4.52971i	−0.648116	−	0.208718i
$472$		−	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
$477$	−4.71117	+	6.55602i	−0.215710	+	0.300180i
$478$	−0.611682	+	1.88256i	−0.0279777	+	0.0861064i
$479$	12.4391	−	38.2836i	0.568356	−	1.74922i	−0.0894065	−	0.995995i	$-0.528497\pi$
$479$	12.4391	−	38.2836i	0.568356	−	1.74922i	0.657763	−	0.753225i	$-0.271503\pi$
$480$	2.31388	−	0.00603529i	0.105614	−	0.000275472i
$481$	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
$486$	−14.7614	+	5.01003i	−0.669592	+	0.227260i
$487$	−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
$489$	−25.5619	−	34.9907i	−1.15595	−	1.58233i
$490$	−1.27054	−	0.412823i	−0.0573970	−	0.0186494i
$491$	12.2634	−	8.90989i	0.553440	−	0.402098i	−0.275612	−	0.961269i	$-0.588881\pi$
$491$	12.2634	−	8.90989i	0.553440	−	0.402098i	0.829052	+	0.559171i	$0.188881\pi$
$492$	−15.2743	+	5.00699i	−0.688617	+	0.225733i
$493$	7.95124	+	24.4714i	0.358106	+	1.10214i
$494$	−2.41954			−0.108860
$495$	−1.16124	+	13.2414i	−0.0521938	+	0.595158i
$496$	2.19998			0.0987820
$497$	−3.01867	−	9.29051i	−0.135406	−	0.416736i
$498$	4.76770	−	1.56288i	0.213646	−	0.0700343i
$499$	−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
$501$	−7.13312	−	9.76424i	−0.318684	−	0.436234i
$502$	−12.8738	−	17.7192i	−0.574584	−	0.790847i
$503$	−14.0659	−	10.2195i	−0.627169	−	0.455665i	0.228249	−	0.973603i	$-0.426700\pi$
$503$	−14.0659	−	10.2195i	−0.627169	−	0.455665i	−0.855418	+	0.517938i	$0.826700\pi$
$504$	1.77599	+	2.41782i	0.0791090	+	0.107698i
$505$		−	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	$0.423663\pi$
$509$	−17.1398	+	23.5910i	−0.759710	+	1.04565i	−0.997238	+	0.0742703i	$0.976337\pi$
$510$	10.2623	−	0.0267672i	0.454422	−	0.00118527i
$511$	−0.625628	+	1.92548i	−0.0276761	+	0.0851784i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−3.02742	−	9.07519i	−0.133664	−	0.400679i
$514$	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
$519$	39.1337	+	12.6025i	1.71778	+	0.553190i
$520$	−1.42032	−	1.03192i	−0.0622851	−	0.0452528i
$521$	8.80000	+	12.1122i	0.385535	+	0.530643i	0.957040	−	0.289955i	$-0.0936404\pi$
$521$	8.80000	+	12.1122i	0.385535	+	0.530643i	−0.571505	+	0.820598i	$0.693640\pi$
$522$	17.4046	−	0.0907934i	0.761777	−	0.00397392i
$523$	−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
$525$	−1.73475	−	5.29201i	−0.0757107	−	0.230962i
$526$	−5.32363	−	16.3844i	−0.232121	−	0.714395i
$527$	9.75716			0.425029
$528$	−5.28156	−	2.25946i	−0.229850	−	0.0983303i
$529$	20.4853			0.890666
$530$	−1.11093	−	3.41910i	−0.0482559	−	0.148516i
$531$	−15.9004	−	5.07480i	−0.690017	−	0.220227i
$532$	−1.48951	+	1.08219i	−0.0645785	+	0.0469190i
$533$	11.5989	+	3.76871i	0.502404	+	0.163241i
$534$	−6.29634	+	4.59970i	−0.272469	+	0.199048i
$535$	4.64738	+	6.39657i	0.200924	+	0.276548i
$536$	8.21821	+	5.97088i	0.354972	+	0.257903i
$537$	−5.90894	+	18.3486i	−0.254990	+	0.791799i
$538$			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
$543$	−0.0220138	−	8.43991i	−0.000944704	−	0.362191i
$544$	−1.37052	+	4.21804i	−0.0587608	+	0.180847i
$545$	7.26678	−	22.3648i	0.311275	−	0.958005i
$546$	−0.00593696	−	2.27618i	−0.000254079	−	0.0974115i
$547$	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
$552$	0.841942	−	2.61441i	0.0358354	−	0.111277i
$553$	1.96535	+	1.42791i	0.0835751	+	0.0607209i
$554$	17.0816	+	23.5108i	0.725726	+	0.998876i
$555$	−9.10029	+	6.64808i	−0.386286	+	0.282195i
$556$	−0.905525	−	0.294223i	−0.0384028	−	0.0124778i
$557$	−13.3522	+	9.70098i	−0.565753	+	0.411044i	−0.833560	−	0.552429i	$-0.813701\pi$
$557$	−13.3522	+	9.70098i	−0.565753	+	0.411044i	0.267807	+	0.963473i	$0.413701\pi$
$558$	2.00672	−	6.28747i	0.0849513	−	0.266170i
$559$	4.98105	+	15.3301i	0.210676	+	0.648394i
$560$	−1.33592			−0.0564530
$561$	−23.4243	−	10.0209i	−0.988975	−	0.423085i
$562$	6.22218			0.262467
$563$	−0.343730	−	1.05789i	−0.0144865	−	0.0445848i	0.943552	−	0.331225i	$-0.107462\pi$
$563$	−0.343730	−	1.05789i	−0.0144865	−	0.0445848i	−0.958038	+	0.286640i	$0.907462\pi$
$564$	−3.69160	−	11.2615i	−0.155444	−	0.474197i
$565$	20.3837	−	14.8096i	0.857549	−	0.623045i
$566$	2.69563	+	0.875863i	0.113306	+	0.0368153i
$567$	8.53003	−	2.87030i	0.358227	−	0.120541i
$568$	−5.74185	−	7.90298i	−0.240923	−	0.331602i
$569$	−14.2406	−	10.3464i	−0.596999	−	0.433745i	0.247814	−	0.968808i	$-0.420288\pi$
$569$	−14.2406	−	10.3464i	−0.596999	−	0.433745i	−0.844812	+	0.535063i	$0.820288\pi$
$570$	4.05509	+	1.30590i	0.169849	+	0.0546980i
$571$			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
$576$	2.43622	+	1.75067i	0.101509	+	0.0729446i
$577$	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
$579$	−34.4136	+	0.0897611i	−1.43018	+	0.00373034i
$580$	−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
$585$	−4.24475	+	3.11795i	−0.175499	+	0.128911i
$586$	5.14528	+	3.73827i	0.212550	+	0.154426i
$587$	19.4917	+	26.8280i	0.804509	+	1.10731i	0.992147	+	0.125074i	$0.0399168\pi$
$587$	19.4917	+	26.8280i	0.804509	+	1.10731i	−0.187638	+	0.982238i	$0.560083\pi$
$588$	−1.02173	−	1.39860i	−0.0421352	−	0.0576772i
$589$	3.85222	+	1.25166i	0.158728	+	0.0515739i
$590$	6.01297	−	4.36868i	0.247550	−	0.179856i
$591$	−0.144373	+	0.0473262i	−0.00593870	+	0.00194674i
$592$	−1.50509	−	4.63220i	−0.0618589	−	0.190382i
$593$	−16.9440			−0.695806			−0.347903	−	0.937530i	$-0.613106\pi$
$593$	−16.9440			−0.695806			−0.347903	+	0.937530i	$0.613106\pi$
$594$	−11.2751	+	13.0335i	−0.462621	+	0.534773i
$595$	−5.92496			−0.242900
$596$	−5.69121	−	17.5157i	−0.233121	−	0.717473i
$597$	36.6258	−	12.0062i	1.49899	−	0.491379i
$598$	−1.68595	+	1.22492i	−0.0689438	+	0.0500906i
$599$	23.1461	+	7.52064i	0.945726	+	0.307285i	0.740978	−	0.671530i	$-0.234362\pi$
$599$	23.1461	+	7.52064i	0.945726	+	0.307285i	0.204748	+	0.978815i	$0.434362\pi$
$600$	−3.28517	−	4.49693i	−0.134116	−	0.183586i
$601$	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
$603$	24.5608	−	18.0410i	1.00019	−	0.734686i
$604$		−	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
$609$	−10.0486	+	0.0262099i	−0.407191	+	0.00106208i
$610$	−0.411433	+	1.26626i	−0.0166584	+	0.0512694i
$611$	−2.77863	+	8.55174i	−0.112411	+	0.345966i
$612$	10.8049	+	7.76442i	0.436762	+	0.313858i
$613$	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	$-0.994897\pi$
$617$		−	0.796396i		−	0.0320617i	0.999871	−	0.0160309i	$-0.00510300\pi$
$618$	−0.957836	−	0.308460i	−0.0385298	−	0.0124081i
$619$	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
$621$	−6.70393	−	4.79099i	−0.269019	−	0.192256i
$622$	−9.10944	−	2.95984i	−0.365255	−	0.118679i
$623$	3.64211	−	2.64614i	0.145918	−	0.106016i
$624$	−0.709024	−	2.16294i	−0.0283837	−	0.0865869i
$625$	0.437197	+	1.34555i	0.0174879	+	0.0538221i
$626$	8.50167			0.339795
$627$	−7.96264	−	6.96127i	−0.317997	−	0.278007i
$628$	8.53158			0.340447
$629$	−6.67525	−	20.5443i	−0.266160	−	0.819156i
$630$	−1.21857	+	3.81802i	−0.0485489	+	0.152114i
$631$	−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
$633$	−5.63917	+	4.11961i	−0.224137	+	0.163740i
$634$	−6.54812	−	9.01271i	−0.260059	−	0.357940i
$635$	−18.4873	−	13.4318i	−0.733644	−	0.533024i
$636$	1.42878	−	4.43668i	0.0566549	−	0.175926i
$637$			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	$-0.581928\pi$
$641$	18.8324	−	25.9206i	0.743837	−	1.02380i	0.998389	−	0.0567445i	$-0.0180720\pi$
$642$	0.0267378	+	10.2510i	0.00105526	+	0.404576i
$643$	−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
$645$	−0.0740269	−	28.3813i	−0.00291481	−	1.11751i
$646$	−4.79965	+	6.60615i	−0.188840	+	0.259916i
$647$	45.7821	−	14.8755i	1.79988	−	0.584816i	0.799994	−	0.600009i	$-0.204836\pi$
$647$	45.7821	−	14.8755i	1.79988	−	0.584816i	0.999885	+	0.0151927i	$0.00483616\pi$
$648$	7.22557	−	5.36574i	0.283847	−	0.210786i
$649$	−18.0015	+	4.05325i	−0.706619	+	0.159104i
$650$			4.22543i			0.165735i
$651$	−1.16805	+	3.62704i	−0.0457793	+	0.142155i
$652$	20.2403	+	14.7054i	0.792672	+	0.575910i
$653$	2.12081	+	2.91904i	0.0829937	+	0.114231i	0.848495	−	0.529203i	$-0.177509\pi$
$653$	2.12081	+	2.91904i	0.0829937	+	0.114231i	−0.765502	+	0.643434i	$0.777509\pi$
$654$	24.6191	−	17.9851i	0.962681	−	0.703273i
$655$	−28.1131	−	9.13451i	−1.09847	−	0.356915i
$656$	7.50793	−	5.45483i	0.293136	−	0.212975i
$657$	5.78617	+	1.84672i	0.225740	+	0.0720476i
$658$	2.11438	+	6.50739i	0.0824271	+	0.253685i
$659$	33.5005			1.30499			0.652497	−	0.757792i	$-0.273722\pi$
$659$	33.5005			1.30499			0.652497	+	0.757792i	$0.273722\pi$
$660$	−1.70528	−	7.48243i	−0.0663779	−	0.291253i
$661$	−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
$663$	−3.14460	−	9.59288i	−0.122126	−	0.372557i
$664$	−2.34352	+	1.70267i	−0.0909464	+	0.0660764i
$665$	−2.33923	−	0.760063i	−0.0907116	−	0.0294740i
$666$	−14.6116	+	0.0762232i	−0.566186	+	0.00295359i
$667$	5.40764	+	7.44298i	0.209385	+	0.288193i
$668$	5.64811	+	4.10359i	0.218532	+	0.158773i
$669$	−43.4288	−	13.9857i	−1.67905	−	0.540720i
$670$			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
$675$	−15.8487	+	5.28700i	−0.610015	+	0.203497i
$676$	3.48355	−	10.7213i	0.133983	−	0.412356i
$677$	4.12662	−	12.7004i	0.158599	−	0.488118i	−0.839909	−	0.542728i	$-0.817392\pi$
$677$	4.12662	−	12.7004i	0.158599	−	0.488118i	0.998508	+	0.0546100i	$0.0173916\pi$
$678$	32.6666	−	0.0852043i	1.25455	−	0.00327225i
$679$	−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	$-0.859406\pi$
$683$		−	22.3431i		−	0.854936i	0.904030	−	0.427468i	$-0.140594\pi$
$684$	3.26985	+	4.45154i	0.125026	+	0.170209i
$685$	14.0341	+	10.1963i	0.536214	+	0.389582i
$686$	0.587785	+	0.809017i	0.0224417	+	0.0308884i
$687$	8.06919	+	11.0456i	0.307859	+	0.421416i
$688$	11.6654	+	3.79030i	0.444737	+	0.144504i
$689$	−2.86108	+	2.07869i	−0.108998	+	0.0791919i
$690$	3.48674	−	1.14297i	0.132738	−	0.0435123i
$691$	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
$693$	6.52926	−	7.50791i	0.248026	−	0.285202i
$694$	−18.3555			−0.696765
$695$	−0.393059	−	1.20971i	−0.0149096	−	0.0458869i
$696$	−9.54872	+	3.13013i	−0.361943	+	0.118647i
$697$	33.2985	−	24.1928i	1.26127	−	0.916367i
$698$	30.8645	+	10.0285i	1.16824	+	0.379583i
$699$	−4.24521	−	5.81109i	−0.160569	−	0.219796i
$700$	1.88991	+	2.60124i	0.0714320	+	0.0983177i
$701$	9.27237	+	6.73677i	0.350212	+	0.254444i	0.748958	−	0.662617i	$-0.230554\pi$
$701$	9.27237	+	6.73677i	0.350212	+	0.254444i	−0.398746	+	0.917062i	$0.630554\pi$
$702$	−6.82835	+	0.0534322i	−0.257719	+	0.00201667i
$703$		−	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
$708$	9.63628	−	0.0251343i	0.362153	−	0.000944606i
$709$	−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
$711$	4.25291	−	5.91831i	0.159497	−	0.221954i
$712$	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
$717$	−3.26345	−	1.05096i	−0.121876	−	0.0392486i
$718$	12.8921	+	9.36667i	0.481130	+	0.349561i
$719$	−17.5866	−	24.2058i	−0.655868	−	0.902725i	0.343467	−	0.939165i	$-0.388399\pi$
$719$	−17.5866	−	24.2058i	−0.655868	−	0.902725i	−0.999336	+	0.0364391i	$0.988399\pi$
$720$	0.0209068	+	4.00771i	0.000779150	+	0.149359i
$721$	0.552540	+	0.179531i	0.0205777	+	0.00668609i
$722$	12.6289	−	9.17545i	0.470000	−	0.341475i
$723$	−8.21675	−	25.0659i	−0.305584	−	0.932211i
$724$	1.50578	+	4.63431i	0.0559618	+	0.172233i
$725$	18.6540			0.692791
$726$	−3.46292	+	18.7352i	−0.128521	+	0.695329i
$727$	−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
$729$	−8.74428	−	25.5448i	−0.323862	−	0.946104i
$730$	−2.18813	+	1.58977i	−0.0809862	+	0.0588399i
$731$	51.7371	+	16.8104i	1.91357	+	0.621756i
$732$	−1.39389	+	1.01829i	−0.0515197	+	0.0376369i
$733$	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
$735$	0.709287	−	2.20249i	0.0261625	−	0.0812402i
$736$			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
$741$	−0.0109308	−	4.19076i	−0.000401552	−	0.153951i
$742$	−0.831586	+	2.55936i	−0.0305285	+	0.0939570i
$743$	9.10192	−	28.0128i	0.333917	−	1.02769i	−0.633336	−	0.773877i	$-0.718315\pi$
$743$	9.10192	−	28.0128i	0.333917	−	1.02769i	0.967253	−	0.253814i	$-0.0816851\pi$
$744$	0.00993885	+	3.81047i	0.000364376	+	0.139698i
$745$	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
$750$	5.82702	−	18.0942i	0.212773	−	0.660705i
$751$	−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
$753$	30.6323	−	22.3780i	1.11630	−	0.815499i
$754$	7.25106	+	2.35601i	0.264068	+	0.0858009i
$755$	6.05516	−	4.39933i	0.220370	−	0.160108i
$756$	−4.17975	+	3.08702i	−0.152016	+	0.112274i
$757$	−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
$759$	−9.07264	−	0.819497i	−0.329316	−	0.0297459i
$760$	−2.45962			−0.0892197
$761$	−13.2052	−	40.6414i	−0.478687	−	1.47325i	−0.840920	−	0.541160i	$-0.817985\pi$
$761$	−13.2052	−	40.6414i	−0.478687	−	1.47325i	0.362232	−	0.932088i	$-0.382015\pi$
$762$	−9.22885	−	28.1534i	−0.334326	−	1.01989i
$763$	−14.2409	+	10.3466i	−0.515554	+	0.374572i
$764$	8.86405	+	2.88010i	0.320690	+	0.104199i
$765$	0.0927239	+	17.7746i	0.00335244	+	0.642644i
$766$	5.44937	+	7.50042i	0.196894	+	0.271001i
$767$	−5.91500	−	4.29750i	−0.213578	−	0.155174i
$768$	−1.64867	−	0.530935i	−0.0594912	−	0.0191585i
$769$		−	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	−0.461948	−	0.886907i	$-0.652849\pi$
$773$	14.5771	−	20.0636i	0.524301	−	0.721638i	0.986249	+	0.165269i	$0.0528493\pi$
$774$	21.4732	−	29.8818i	0.771837	−	1.07408i
$775$	2.18587	−	6.72742i	0.0785188	−	0.241656i
$776$	−1.67720	+	5.16190i	−0.0602081	+	0.185302i
$777$	8.43607	−	0.0220038i	0.302642	−	0.000789383i
$778$	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
$783$	0.235887	+	30.1451i	0.00842991	+	1.07730i
$784$	0.809017	+	0.587785i	0.0288935	+	0.0209923i
$785$	6.69930	+	9.22079i	0.239108	+	0.329104i
$786$	−22.6077	−	30.9467i	−0.806389	−	1.10383i
$787$	−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
$789$	28.3545	−	9.29478i	1.00945	−	0.330903i
$790$	1.00287	+	3.08652i	0.0356806	+	0.109814i
$791$	−18.8601			−0.670588
$792$	3.88962	−	9.15810i	0.138212	−	0.325419i
$793$	1.30973			0.0465100
$794$	−11.6841	−	35.9601i	−0.414655	−	1.27618i
$795$	5.91702	−	1.93963i	0.209855	−	0.0687917i
$796$	−18.0031	+	13.0800i	−0.638104	+	0.463609i
$797$	−25.6311	−	8.32803i	−0.907899	−	0.294994i	−0.182405	−	0.983223i	$-0.558388\pi$
$797$	−25.6311	−	8.32803i	−0.907899	−	0.294994i	−0.725493	+	0.688229i	$0.758388\pi$
$798$	−1.88114	−	2.57501i	−0.0665915	−	0.0911545i
$799$	17.8371	+	24.5506i	0.631031	+	0.868540i
$800$	2.60124	+	1.88991i	0.0919678	+	0.0668185i
$801$	−7.99532	−	10.8848i	−0.282501	−	0.384594i
$802$			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
$807$	−7.16013	+	0.0186758i	−0.252048	+	0.000657418i
$808$	−2.54897	+	7.84493i	−0.0896726	+	0.275984i
$809$	−9.54149	+	29.3657i	−0.335461	+	1.03244i	0.631033	+	0.775756i	$0.282631\pi$
$809$	−9.54149	+	29.3657i	−0.335461	+	1.03244i	−0.966494	+	0.256687i	$0.917369\pi$
$810$	11.4730	+	3.59590i	0.403119	+	0.126347i
$811$	−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
$816$	−7.31203	−	2.35475i	−0.255972	−	0.0824329i
$817$	18.2699	+	13.2738i	0.639182	+	0.464393i
$818$	−7.41944	−	10.2120i	−0.259414	−	0.357053i
$819$	3.94242	−	0.0205662i	0.137759	−	0.000718640i
$820$	11.7910	+	3.83112i	0.411759	+	0.133789i
$821$	−39.9579	+	29.0311i	−1.39454	+	1.01319i	−0.399191	+	0.916868i	$0.630709\pi$
$821$	−39.9579	+	29.0311i	−1.39454	+	1.01319i	−0.995350	+	0.0963256i	$0.969291\pi$
$822$	7.00581	+	21.3718i	0.244356	+	0.745428i
$823$	−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
$825$	−12.1570	+	13.9057i	−0.423252	+	0.484136i
$826$	−5.56353			−0.193580
$827$	7.45699	+	22.9503i	0.259305	+	0.798059i	0.992951	+	0.118527i	$0.0378171\pi$
$827$	7.45699	+	22.9503i	0.259305	+	0.798059i	−0.733646	+	0.679532i	$0.762183\pi$
$828$	4.53209	+	1.44647i	0.157501	+	0.0502683i
$829$	−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
$831$	−40.6445	+	29.6922i	−1.40994	+	1.03001i
$832$	0.772442	+	1.06318i	0.0267796	+	0.0368590i
$833$	3.58808	+	2.60689i	0.124320	+	0.0903235i
$834$	0.505516	−	1.56974i	0.0175046	−	0.0543556i
$835$			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	−0.868907	−	0.494975i	$-0.835177\pi$
$839$	−3.75541	+	5.16888i	−0.129651	+	0.178450i	0.739256	+	0.673424i	$0.235177\pi$
$840$	−0.00603529	−	2.31388i	−0.000208237	−	0.0798363i
$841$	1.43958	−	4.43058i	0.0496407	−	0.152778i
$842$	−7.62805	+	23.4767i	−0.262880	+	0.809062i
$843$	0.0281099	+	10.7771i	0.000968157	+	0.371183i
$844$	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
$849$	−1.50486	+	4.67291i	−0.0516465	+	0.160374i
$850$	11.5368	+	8.38198i	0.395709	+	0.287499i
$851$	−4.53984	−	6.24856i	−0.155624	−	0.214198i
$852$	13.6624	−	9.98085i	0.468065	−	0.341938i
$853$	−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
$855$	−2.24355	+	7.02950i	−0.0767278	+	0.240404i
$856$	−1.82890	−	5.62879i	−0.0625107	−	0.192388i
$857$	−36.7582			−1.25564			−0.627818	−	0.778361i	$-0.716052\pi$
$857$	−36.7582			−1.25564			−0.627818	+	0.778361i	$0.716052\pi$
$858$	−6.48190	+	3.86992i	−0.221288	+	0.132117i
$859$	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
$861$	5.00699	+	15.2743i	0.170638	+	0.520545i
$862$	−6.05035	+	4.39584i	−0.206076	+	0.149723i
$863$	−45.0263	−	14.6299i	−1.53271	−	0.498009i	−0.583359	−	0.812214i	$-0.698262\pi$
$863$	−45.0263	−	14.6299i	−1.53271	−	0.498009i	−0.949355	+	0.314205i	$0.898262\pi$
$864$	−3.02123	+	4.22755i	−0.102784	+	0.143824i
$865$	−18.6388	−	25.6540i	−0.633737	−	0.872264i
$866$	−32.6963	−	23.7553i	−1.11107	−	0.807237i
$867$	−4.40229	−	1.41771i	−0.149510	−	0.0481479i
$868$		−	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
$873$	13.2227	+	9.50185i	0.447520	+	0.321589i
$874$	−0.902214	+	2.77673i	−0.0305179	+	0.0939243i
$875$	−3.39147	+	10.4379i	−0.114652	+	0.352864i
$876$	−3.50665	+	0.00914641i	−0.118479	+	0.000309029i
$877$	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	$0.177837\pi$
$881$			31.4671i			1.06015i	−0.847950	+	0.530076i	$0.822163\pi$
$882$	2.41782	−	1.77599i	0.0814122	−	0.0598008i
$883$	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
$885$	7.59391	+	10.3950i	0.255266	+	0.349424i
$886$	−14.9960	−	4.87251i	−0.503802	−	0.163695i
$887$	−23.2367	+	16.8824i	−0.780211	+	0.566856i	−0.905042	−	0.425322i	$-0.860161\pi$
$887$	−23.2367	+	16.8824i	−0.780211	+	0.566856i	0.124831	+	0.992178i	$0.460161\pi$
$888$	8.01638	−	2.62782i	0.269012	−	0.0881837i
$889$	5.28586	+	16.2682i	0.177282	+	0.545619i
$890$	6.01417			0.201596
$891$	−22.6256	−	19.4700i	−0.757987	−	0.652270i
$892$	26.3417			0.881986
$893$	3.89287	+	11.9810i	0.130270	+	0.400929i
$894$	30.3123	−	9.93656i	1.01380	−	0.332328i
$895$	12.0284	−	8.73913i	0.402065	−	0.292117i
$896$	0.951057	+	0.309017i	0.0317726	+	0.0103235i
$897$	−2.12923	−	2.91462i	−0.0710929	−	0.0973162i
$898$	5.72920	+	7.88557i	0.191186	+	0.263145i
$899$	−10.3258	−	7.50215i	−0.344385	−	0.250211i
$900$	7.77404	−	5.71037i	0.259135	−	0.190346i
$901$			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
$906$	9.70390	−	0.0253107i	0.322391	−	0.000840892i
$907$	−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
$909$	20.0955	+	14.4407i	0.666526	+	0.478967i
$910$	−1.03192	+	1.42032i	−0.0342079	+	0.0470831i
$911$	22.4665	−	7.29982i	0.744350	−	0.241854i	0.0878016	−	0.996138i	$-0.472016\pi$
$911$	22.4665	−	7.29982i	0.744350	−	0.241854i	0.656548	+	0.754284i	$0.272016\pi$
$912$	−2.58479	−	1.86768i	−0.0855910	−	0.0618450i
$913$	7.21654	+	6.34229i	0.238833	+	0.209899i
$914$		−	8.53776i		−	0.282404i
$915$	−2.19508	−	0.706900i	−0.0725671	−	0.0233694i
$916$	−6.38930	−	4.64210i	−0.211109	−	0.153379i
$917$	13.0059	+	17.9011i	0.429493	+	0.591146i
$918$	−13.3995	+	18.7496i	−0.442250	+	0.618830i
$919$	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
$921$	−16.8517	−	51.4075i	−0.555282	−	1.69394i
$922$	−10.4264	−	32.0893i	−0.343376	−	1.05680i
$923$	−12.8375			−0.422551
$924$	−2.25946	+	5.28156i	−0.0743307	+	0.173750i
$925$	−15.6604			−0.514912
$926$	6.90658	+	21.2563i	0.226964	+	0.698525i
$927$	0.529939	−	1.66041i	0.0174055	−	0.0545350i
$928$	4.69359	−	3.41010i	0.154075	−	0.111942i
$929$	4.67700	+	1.51965i	0.153447	+	0.0498580i	0.384733	−	0.923028i	$-0.374293\pi$
$929$	4.67700	+	1.51965i	0.153447	+	0.0498580i	−0.231286	+	0.972886i	$0.574293\pi$
$930$	−4.11048	+	3.00285i	−0.134788	+	0.0984674i
$931$	1.08219	+	1.48951i	0.0354675	+	0.0488168i
$932$	3.36142	+	2.44221i	0.110107	+	0.0799974i
$933$	5.08542	−	15.7913i	0.166489	−	0.516985i
$934$			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
$939$	0.0384080	+	14.7253i	0.00125340	+	0.480541i
$940$	−2.82465	+	8.69337i	−0.0921298	+	0.283547i
$941$	−9.54348	+	29.3718i	−0.311109	+	0.957494i	0.666218	+	0.745757i	$0.267912\pi$
$941$	−9.54348	+	29.3718i	−0.311109	+	0.957494i	−0.977327	+	0.211737i	$0.932088\pi$
$942$	0.0385431	+	14.7771i	0.00125580	+	0.481463i
$943$	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	$0.312575\pi$
$947$			51.1823i			1.66320i	−0.555374	+	0.831601i	$0.687425\pi$
$948$	−1.28980	+	4.00512i	−0.0418908	+	0.130080i
$949$	2.15248	+	1.56387i	0.0698724	+	0.0507652i
$950$	3.47959	+	4.78925i	0.112893	+	0.155384i
$951$	15.5808	−	11.3823i	0.505243	−	0.369098i
$952$	4.21804	+	1.37052i	0.136708	+	0.0444190i
$953$	9.18834	−	6.67572i	0.297640	−	0.216248i	−0.428935	−	0.903335i	$-0.641111\pi$
$953$	9.18834	−	6.67572i	0.297640	−	0.216248i	0.726575	+	0.687088i	$0.241111\pi$
$954$	7.69098	+	2.45467i	0.249005	+	0.0794729i
$955$	3.84759	+	11.8417i	0.124505	+	0.383188i
$956$	1.97944			0.0640198
$957$	17.0845	+	28.6156i	0.552264	+	0.925011i
$958$	−40.2537			−1.30054
$959$	−4.01261	−	12.3495i	−0.129574	−	0.398787i
$960$	−0.720767	−	2.19876i	−0.0232627	−	0.0709648i
$961$	21.1640	−	15.3765i	0.682708	−	0.496017i
$962$	−6.08744	−	1.97793i	−0.196267	−	0.0637710i
$963$	−17.7551	+	0.0926222i	−0.572151	+	0.00298471i
$964$	8.95168	+	12.3209i	0.288314	+	0.396831i
$965$	21.4738	+	15.6017i	0.691267	+	0.502235i
$966$	−2.61441	−	0.841942i	−0.0841174	−	0.0270890i
$967$			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	$0.574990\pi$
$971$	−33.8429	+	46.5808i	−1.08607	+	1.49485i	−0.852656	+	0.522472i	$0.825010\pi$
$972$	9.32635	+	12.4908i	0.299143	+	0.400641i
$973$	−0.294223	+	0.905525i	−0.00943235	+	0.0290298i
$974$	−3.82721	+	11.7789i	−0.122632	+	0.377422i
$975$	−7.31863	+	0.0190892i	−0.234384	+	0.000611343i
$976$	0.585807	−	0.806294i	0.0187512	−	0.0258088i
$977$	−39.7626	+	12.9197i	−1.27212	+	0.413336i	−0.865798	−	0.500394i	$-0.833188\pi$
$977$	−39.7626	+	12.9197i	−1.27212	+	0.413336i	−0.406321	+	0.913731i	$0.633188\pi$
$978$	−25.3790	+	35.1236i	−0.811533	+	1.12313i
$979$	−13.7123	−	5.90849i	−0.438247	−	0.188836i
$980$			1.33592i			0.0426745i
$981$	31.2622	+	42.5601i	0.998125	+	1.35884i
$982$	−12.2634	−	8.90989i	−0.391341	−	0.284326i
$983$	7.01777	+	9.65914i	0.223832	+	0.308079i	0.906133	−	0.422993i	$-0.139021\pi$
$983$	7.01777	+	9.65914i	0.223832	+	0.308079i	−0.682301	+	0.731072i	$0.739021\pi$
$984$	9.48193	+	12.9794i	0.302273	+	0.413769i
$985$	0.111449	+	0.0362119i	0.00355105	+	0.00115381i
$986$	20.8166	−	15.1242i	0.662936	−	0.481651i
$987$	−11.2615	+	3.69160i	−0.358459	+	0.117505i
$988$	0.747680	+	2.30112i	0.0237869	+	0.0732085i
$989$	19.4506			0.618493
$990$	12.9522	−	2.98743i	0.411648	−	0.0949466i
$991$	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
$993$	39.2675	−	12.8721i	1.24612	−	0.408484i
$994$	−7.90298	+	5.74185i	−0.250667	+	0.182120i
$995$	−28.2734	−	9.18657i	−0.896326	−	0.291234i
$996$	−2.95969	−	4.05140i	−0.0937813	−	0.128373i
$997$	−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
$999$	−0.198033	−	25.3075i	−0.00626547	−	0.800694i

Twists

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

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

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)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(1.64588 - 0.539528i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.27054 - 0.412823i) q^{5} +(-1.02173 - 1.39860i) q^{6} +(0.587785 + 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.41782 - 1.77599i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(1.64588 - 0.539528i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.27054 - 0.412823i) q^{5} +(-1.02173 - 1.39860i) q^{6} +(0.587785 + 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.41782 - 1.77599i) 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} +(-2.31388 + 0.00603529i) q^{15} +(0.309017 - 0.951057i) q^{16} +(1.37052 - 4.21804i) q^{17} +(-2.43622 - 1.75067i) 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} +(1.64867 + 0.530935i) q^{24} +(-2.60124 - 1.88991i) q^{25} +(-0.772442 - 1.06318i) q^{26} +(3.02123 - 4.22755i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(-4.69359 + 3.41010i) q^{29} +(0.720767 + 2.19876i) q^{30} +(0.679831 + 2.09231i) q^{31} -1.00000 q^{32} +(0.516781 - 5.72127i) q^{33} -4.43511 q^{34} +(-0.412823 - 1.27054i) q^{35} +(-0.912155 + 2.85797i) q^{36} +(3.94038 - 2.86286i) q^{37} +(-1.75103 - 0.568943i) q^{38} +(1.83798 - 1.34271i) q^{39} +(-0.785235 - 1.08078i) q^{40} +(7.50793 + 5.45483i) q^{41} +(0.530935 - 1.64867i) 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} +(-0.00451770 - 1.73204i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-0.993586 + 3.05794i) q^{50} +(-0.0200365 - 7.68181i) 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} +(0.977524 - 3.03543i) q^{57} +(4.69359 + 3.41010i) q^{58} +(-3.27016 - 4.50099i) q^{59} +(1.86842 - 1.36495i) q^{60} +(0.947855 + 0.307977i) q^{61} +(1.77982 - 1.29312i) q^{62} +(2.85797 + 0.912155i) q^{63} +(0.309017 + 0.951057i) q^{64} -1.75561 q^{65} +(-5.60095 + 1.27648i) q^{66} +10.1583 q^{67} +(1.37052 + 4.21804i) q^{68} +(-0.855569 - 2.60999i) q^{69} +(-1.08078 + 0.785235i) q^{70} +(-9.29051 - 3.01867i) q^{71} +(2.99996 - 0.0156497i) q^{72} +(1.19001 + 1.63791i) q^{73} +(-3.94038 - 2.86286i) q^{74} +(-5.30099 - 1.70712i) 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} +(2.69170 - 8.58806i) q^{81} +(2.86778 - 8.82611i) q^{82} +(-0.895147 + 2.75498i) q^{83} +(-1.73204 + 0.00451770i) 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} +(2.37259 + 3.23002i) q^{90} +(1.06318 + 0.772442i) q^{91} +(0.932094 + 1.28292i) q^{92} +(2.24778 + 3.07689i) q^{93} +(6.50739 + 2.11438i) q^{94} +(-1.98987 + 1.44573i) q^{95} +(-1.64588 + 0.539528i) q^{96} +(1.67720 + 5.16190i) q^{97} +1.00000 q^{98} +(-2.23623 - 9.69532i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

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