LMFDB - Embedded newform 390.2.bn.b.163.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [390,2,Mod(67,390)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(390, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("390.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 390 = 2 \cdot 3 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	390.bn (of order $12$, 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:	$3.11416567883$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 $ x^16 - 4x^15 + 12x^14 - 48x^13 + 67x^12 - 24x^11 + 118x^10 - 176x^9 + 351x^8 - 180x^7 + 358x^6 - 336x^5 + 390x^4 - 344x^3 + 164x^2 - 40*x + 4
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			163.3
Root			$0.792206 + 1.03242i$ of defining polynomial
Character	$\chi$	$=$	390.163
Dual form			390.2.bn.b.67.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(0.965926 - 0.258819i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.0421887 + 2.23567i) q^{5} +(0.258819 - 0.965926i) q^{6} +(2.21194 - 1.27707i) q^{7} -1.00000 q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(0.965926 - 0.258819i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.0421887 + 2.23567i) q^{5} +(0.258819 - 0.965926i) q^{6} +(2.21194 - 1.27707i) q^{7} -1.00000 q^{8} +(0.866025 - 0.500000i) q^{9} +(1.91505 + 1.15437i) q^{10} +(0.240573 + 0.897829i) q^{11} +(-0.707107 - 0.707107i) q^{12} +(3.05354 - 1.91725i) q^{13} -2.55413i q^{14} +(0.537883 + 2.17041i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.495499 - 1.84923i) q^{17} -1.00000i q^{18} +(0.321456 + 0.0861340i) q^{19} +(1.95724 - 1.08130i) q^{20} +(1.80604 - 1.80604i) q^{21} +(0.897829 + 0.240573i) q^{22} +(0.516175 + 1.92639i) q^{23} +(-0.965926 + 0.258819i) q^{24} +(-4.99644 - 0.188640i) q^{25} +(-0.133619 - 3.60307i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-2.21194 - 1.27707i) q^{28} +(1.58408 + 0.914569i) q^{29} +(2.14857 + 0.619385i) q^{30} +(-0.423885 - 0.423885i) q^{31} +(0.500000 + 0.866025i) q^{32} +(0.464751 + 0.804972i) q^{33} +(-1.35373 - 1.35373i) q^{34} +(2.76178 + 4.99905i) q^{35} +(-0.866025 - 0.500000i) q^{36} +(-6.15259 - 3.55220i) q^{37} +(0.235322 - 0.235322i) q^{38} +(2.45328 - 2.64224i) q^{39} +(0.0421887 - 2.23567i) q^{40} +(-10.7484 + 2.88002i) q^{41} +(-0.661058 - 2.46710i) q^{42} +(-1.38553 - 0.371252i) q^{43} +(0.657257 - 0.657257i) q^{44} +(1.08130 + 1.95724i) q^{45} +(1.92639 + 0.516175i) q^{46} +7.62342i q^{47} +(-0.258819 + 0.965926i) q^{48} +(-0.238207 + 0.412587i) q^{49} +(-2.66159 + 4.23272i) q^{50} -1.91446i q^{51} +(-3.18716 - 1.68582i) q^{52} +(-0.567895 - 0.567895i) q^{53} +(-0.258819 - 0.965926i) q^{54} +(-2.01740 + 0.499963i) q^{55} +(-2.21194 + 1.27707i) q^{56} +0.332796 q^{57} +(1.58408 - 0.914569i) q^{58} +(1.37659 - 5.13751i) q^{59} +(1.61069 - 1.55103i) q^{60} +(-5.39490 - 9.34424i) q^{61} +(-0.579037 + 0.155153i) q^{62} +(1.27707 - 2.21194i) q^{63} +1.00000 q^{64} +(4.15752 + 6.90760i) q^{65} +0.929501 q^{66} +(-6.90482 + 11.9595i) q^{67} +(-1.84923 + 0.495499i) q^{68} +(0.997174 + 1.72716i) q^{69} +(5.71019 + 0.107756i) q^{70} +(-3.55539 + 13.2689i) q^{71} +(-0.866025 + 0.500000i) q^{72} +16.1644 q^{73} +(-6.15259 + 3.55220i) q^{74} +(-4.87501 + 1.11096i) q^{75} +(-0.0861340 - 0.321456i) q^{76} +(1.67872 + 1.67872i) q^{77} +(-1.06161 - 3.44572i) q^{78} -10.6347i q^{79} +(-1.91505 - 1.15437i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-2.88002 + 10.7484i) q^{82} +6.12517i q^{83} +(-2.46710 - 0.661058i) q^{84} +(4.11336 + 1.18579i) q^{85} +(-1.01428 + 1.01428i) q^{86} +(1.76681 + 0.473416i) q^{87} +(-0.240573 - 0.897829i) q^{88} +(6.90537 - 1.85029i) q^{89} +(2.23567 + 0.0421887i) q^{90} +(4.30580 - 8.14043i) q^{91} +(1.41022 - 1.41022i) q^{92} +(-0.519150 - 0.299732i) q^{93} +(6.60208 + 3.81171i) q^{94} +(-0.206129 + 0.715036i) q^{95} +(0.707107 + 0.707107i) q^{96} +(1.12544 + 1.94931i) q^{97} +(0.238207 + 0.412587i) q^{98} +(0.657257 + 0.657257i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8}+O(q^{10}) $ 16 * q + 8 * q^2 - 8 * q^4 + 24 * q^7 - 16 * q^8	$ 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8} + 12 q^{11} + 8 q^{13} - 8 q^{15} - 8 q^{16} - 4 q^{17} - 4 q^{19} + 4 q^{23} + 4 q^{25} + 4 q^{26} - 24 q^{28} - 48 q^{29} - 4 q^{30} + 16 q^{31} + 8 q^{32} + 16 q^{33} - 20 q^{34} - 12 q^{35} + 12 q^{37} + 4 q^{38} + 4 q^{39} - 12 q^{41} + 20 q^{43} - 12 q^{44} + 8 q^{45} - 4 q^{46} - 4 q^{49} - 16 q^{50} - 4 q^{52} + 32 q^{53} + 16 q^{55} - 24 q^{56} - 8 q^{57} - 48 q^{58} + 4 q^{59} + 4 q^{60} + 4 q^{61} - 4 q^{62} + 4 q^{63} + 16 q^{64} - 8 q^{65} + 32 q^{66} - 28 q^{67} - 16 q^{68} + 4 q^{69} - 36 q^{71} + 32 q^{73} + 12 q^{74} - 24 q^{75} + 8 q^{76} + 4 q^{77} + 20 q^{78} + 8 q^{81} - 24 q^{82} + 52 q^{85} + 16 q^{86} + 36 q^{87} - 12 q^{88} - 24 q^{89} + 4 q^{90} - 8 q^{92} + 36 q^{94} - 40 q^{95} - 4 q^{97} + 4 q^{98} - 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^2 - 8 * q^4 + 24 * q^7 - 16 * q^8 + 12 * q^11 + 8 * q^13 - 8 * q^15 - 8 * q^16 - 4 * q^17 - 4 * q^19 + 4 * q^23 + 4 * q^25 + 4 * q^26 - 24 * q^28 - 48 * q^29 - 4 * q^30 + 16 * q^31 + 8 * q^32 + 16 * q^33 - 20 * q^34 - 12 * q^35 + 12 * q^37 + 4 * q^38 + 4 * q^39 - 12 * q^41 + 20 * q^43 - 12 * q^44 + 8 * q^45 - 4 * q^46 - 4 * q^49 - 16 * q^50 - 4 * q^52 + 32 * q^53 + 16 * q^55 - 24 * q^56 - 8 * q^57 - 48 * q^58 + 4 * q^59 + 4 * q^60 + 4 * q^61 - 4 * q^62 + 4 * q^63 + 16 * q^64 - 8 * q^65 + 32 * q^66 - 28 * q^67 - 16 * q^68 + 4 * q^69 - 36 * q^71 + 32 * q^73 + 12 * q^74 - 24 * q^75 + 8 * q^76 + 4 * q^77 + 20 * q^78 + 8 * q^81 - 24 * q^82 + 52 * q^85 + 16 * q^86 + 36 * q^87 - 12 * q^88 - 24 * q^89 + 4 * q^90 - 8 * q^92 + 36 * q^94 - 40 * q^95 - 4 * q^97 + 4 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/390\mathbb{Z}\right)^\times$.

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{11}{12}\right)$

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 $

$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$3$	0.965926	−	0.258819i	0.557678	−	0.149429i
$3$	0.965926	−	0.258819i	0.557678	−	0.149429i
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	−0.0421887	+	2.23567i	−0.0188674	+	0.999822i
$5$	−0.0421887	+	2.23567i	−0.0188674	+	0.999822i
$6$	0.258819	−	0.965926i	0.105662	−	0.394338i
$7$	2.21194	−	1.27707i	0.836036	−	0.482685i	−0.0198791	−	0.999802i	$-0.506328\pi$
$7$	2.21194	−	1.27707i	0.836036	−	0.482685i	0.855915	+	0.517117i	$0.172995\pi$
$8$	−1.00000			−0.353553
$9$	0.866025	−	0.500000i	0.288675	−	0.166667i
$10$	1.91505	+	1.15437i	0.605593	+	0.365044i
$11$	0.240573	+	0.897829i	0.0725354	+	0.270706i	0.992663	−	0.120913i	$-0.0385821\pi$
$11$	0.240573	+	0.897829i	0.0725354	+	0.270706i	−0.920128	+	0.391618i	$0.871915\pi$
$12$	−0.707107	−	0.707107i	−0.204124	−	0.204124i
$13$	3.05354	−	1.91725i	0.846901	−	0.531751i
$13$	3.05354	−	1.91725i	0.846901	−	0.531751i
$14$		−	2.55413i		−	0.682620i
$15$	0.537883	+	2.17041i	0.138881	+	0.560398i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	0.495499	−	1.84923i	0.120176	−	0.448503i	−0.879446	−	0.475999i	$-0.842087\pi$
$17$	0.495499	−	1.84923i	0.120176	−	0.448503i	0.999622	+	0.0274957i	$0.00875326\pi$
$18$		−	1.00000i		−	0.235702i
$19$	0.321456	+	0.0861340i	0.0737472	+	0.0197605i	0.295504	−	0.955342i	$-0.404512\pi$
$19$	0.321456	+	0.0861340i	0.0737472	+	0.0197605i	−0.221757	+	0.975102i	$0.571179\pi$
$20$	1.95724	−	1.08130i	0.437652	−	0.241786i
$21$	1.80604	−	1.80604i	0.394111	−	0.394111i
$22$	0.897829	+	0.240573i	0.191418	+	0.0512903i
$23$	0.516175	+	1.92639i	0.107630	+	0.401681i	0.998630	−	0.0523222i	$-0.0166623\pi$
$23$	0.516175	+	1.92639i	0.107630	+	0.401681i	−0.891000	+	0.454003i	$0.849996\pi$
$24$	−0.965926	+	0.258819i	−0.197169	+	0.0528312i
$25$	−4.99644	−	0.188640i	−0.999288	−	0.0377280i
$26$	−0.133619	−	3.60307i	−0.0262049	−	0.706621i
$27$	0.707107	−	0.707107i	0.136083	−	0.136083i
$28$	−2.21194	−	1.27707i	−0.418018	−	0.241343i
$29$	1.58408	+	0.914569i	0.294156	+	0.169831i	0.639815	−	0.768529i	$-0.279011\pi$
$29$	1.58408	+	0.914569i	0.294156	+	0.169831i	−0.345658	+	0.938360i	$0.612344\pi$
$30$	2.14857	+	0.619385i	0.392274	+	0.113084i
$31$	−0.423885	−	0.423885i	−0.0761319	−	0.0761319i	0.668015	−	0.744147i	$-0.267144\pi$
$31$	−0.423885	−	0.423885i	−0.0761319	−	0.0761319i	−0.744147	+	0.668015i	$0.767144\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	0.464751	+	0.804972i	0.0809027	+	0.140128i
$34$	−1.35373	−	1.35373i	−0.232162	−	0.232162i
$35$	2.76178	+	4.99905i	0.466826	+	0.844994i
$36$	−0.866025	−	0.500000i	−0.144338	−	0.0833333i
$37$	−6.15259	−	3.55220i	−1.01148	−	0.583978i	−0.0998553	−	0.995002i	$-0.531838\pi$
$37$	−6.15259	−	3.55220i	−1.01148	−	0.583978i	−0.911625	+	0.411024i	$0.865171\pi$
$38$	0.235322	−	0.235322i	0.0381743	−	0.0381743i
$39$	2.45328	−	2.64224i	0.392838	−	0.423097i
$40$	0.0421887	−	2.23567i	0.00667062	−	0.353490i
$41$	−10.7484	+	2.88002i	−1.67862	+	0.449784i	−0.967413	−	0.253202i	$-0.918516\pi$
$41$	−10.7484	+	2.88002i	−1.67862	+	0.449784i	−0.711203	+	0.702986i	$0.751850\pi$
$42$	−0.661058	−	2.46710i	−0.102003	−	0.380682i
$43$	−1.38553	−	0.371252i	−0.211291	−	0.0566154i	0.151621	−	0.988439i	$-0.451551\pi$
$43$	−1.38553	−	0.371252i	−0.211291	−	0.0566154i	−0.362912	+	0.931823i	$0.618217\pi$
$44$	0.657257	−	0.657257i	0.0990852	−	0.0990852i
$45$	1.08130	+	1.95724i	0.161190	+	0.291768i
$46$	1.92639	+	0.516175i	0.284031	+	0.0761059i
$47$			7.62342i			1.11199i	0.831185	+	0.555995i	$0.187663\pi$
$47$			7.62342i			1.11199i	−0.831185	+	0.555995i	$0.812337\pi$
$48$	−0.258819	+	0.965926i	−0.0373573	+	0.139419i
$49$	−0.238207	+	0.412587i	−0.0340296	+	0.0589411i
$50$	−2.66159	+	4.23272i	−0.376405	+	0.598598i
$51$		−	1.91446i		−	0.268078i
$52$	−3.18716	−	1.68582i	−0.441980	−	0.233781i
$53$	−0.567895	−	0.567895i	−0.0780064	−	0.0780064i	0.667027	−	0.745033i	$-0.267567\pi$
$53$	−0.567895	−	0.567895i	−0.0780064	−	0.0780064i	−0.745033	+	0.667027i	$0.767567\pi$
$54$	−0.258819	−	0.965926i	−0.0352208	−	0.131446i
$55$	−2.01740	+	0.499963i	−0.272026	+	0.0674150i
$56$	−2.21194	+	1.27707i	−0.295583	+	0.170655i
$57$	0.332796			0.0440799
$58$	1.58408	−	0.914569i	0.208000	−	0.120089i
$59$	1.37659	−	5.13751i	0.179217	−	0.668847i	−0.816578	−	0.577235i	$-0.804131\pi$
$59$	1.37659	−	5.13751i	0.179217	−	0.668847i	0.995795	−	0.0916117i	$-0.0292019\pi$
$60$	1.61069	−	1.55103i	0.207939	−	0.200237i
$61$	−5.39490	−	9.34424i	−0.690746	−	1.19641i	−0.971594	−	0.236655i	$-0.923949\pi$
$61$	−5.39490	−	9.34424i	−0.690746	−	1.19641i	0.280848	−	0.959752i	$-0.409384\pi$
$62$	−0.579037	+	0.155153i	−0.0735378	+	0.0197044i
$63$	1.27707	−	2.21194i	0.160895	−	0.278679i
$64$	1.00000			0.125000
$65$	4.15752	+	6.90760i	0.515677	+	0.856783i
$66$	0.929501			0.114414
$67$	−6.90482	+	11.9595i	−0.843558	+	1.46108i	0.0433105	+	0.999062i	$0.486210\pi$
$67$	−6.90482	+	11.9595i	−0.843558	+	1.46108i	−0.886868	+	0.462023i	$0.847124\pi$
$68$	−1.84923	+	0.495499i	−0.224252	+	0.0600880i
$69$	0.997174	+	1.72716i	0.120046	+	0.207925i
$70$	5.71019	+	0.107756i	0.682499	+	0.0128793i
$71$	−3.55539	+	13.2689i	−0.421947	+	1.57473i	0.348555	+	0.937288i	$0.386673\pi$
$71$	−3.55539	+	13.2689i	−0.421947	+	1.57473i	−0.770501	+	0.637438i	$0.779994\pi$
$72$	−0.866025	+	0.500000i	−0.102062	+	0.0589256i
$73$	16.1644			1.89190			0.945952	−	0.324306i	$-0.105131\pi$
$73$	16.1644			1.89190			0.945952	+	0.324306i	$0.105131\pi$
$74$	−6.15259	+	3.55220i	−0.715224	+	0.412935i
$75$	−4.87501	+	1.11096i	−0.562918	+	0.128283i
$76$	−0.0861340	−	0.321456i	−0.00988024	−	0.0368736i
$77$	1.67872	+	1.67872i	0.191308	+	0.191308i
$78$	−1.06161	−	3.44572i	−0.120204	−	0.390151i
$79$		−	10.6347i		−	1.19650i	−0.801309	−	0.598251i	$-0.795863\pi$
$79$		−	10.6347i		−	1.19650i	0.801309	−	0.598251i	$-0.204137\pi$
$80$	−1.91505	−	1.15437i	−0.214109	−	0.129063i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	−2.88002	+	10.7484i	−0.318045	+	1.18696i
$83$			6.12517i			0.672325i	0.941804	+	0.336162i	$0.109129\pi$
$83$			6.12517i			0.672325i	−0.941804	+	0.336162i	$0.890871\pi$
$84$	−2.46710	−	0.661058i	−0.269183	−	0.0721273i
$85$	4.11336	+	1.18579i	0.446156	+	0.128617i
$86$	−1.01428	+	1.01428i	−0.109372	+	0.109372i
$87$	1.76681	+	0.473416i	0.189422	+	0.0507555i
$88$	−0.240573	−	0.897829i	−0.0256451	−	0.0957089i
$89$	6.90537	−	1.85029i	0.731968	−	0.196130i	0.126463	−	0.991971i	$-0.459638\pi$
$89$	6.90537	−	1.85029i	0.731968	−	0.196130i	0.605506	+	0.795841i	$0.292971\pi$
$90$	2.23567	+	0.0421887i	0.235660	+	0.00444708i
$91$	4.30580	−	8.14043i	0.451371	−	0.853349i
$92$	1.41022	−	1.41022i	0.147025	−	0.147025i
$93$	−0.519150	−	0.299732i	−0.0538334	−	0.0310807i
$94$	6.60208	+	3.81171i	0.680952	+	0.393148i
$95$	−0.206129	+	0.715036i	−0.0211484	+	0.0733612i
$96$	0.707107	+	0.707107i	0.0721688	+	0.0721688i
$97$	1.12544	+	1.94931i	0.114271	+	0.197923i	0.917488	−	0.397763i	$-0.130214\pi$
$97$	1.12544	+	1.94931i	0.114271	+	0.197923i	−0.803217	+	0.595686i	$0.796880\pi$
$98$	0.238207	+	0.412587i	0.0240626	+	0.0416776i
$99$	0.657257	+	0.657257i	0.0660568	+	0.0660568i
$100$	2.33485	+	4.42136i	0.233485	+	0.442136i
$101$	−10.3731	−	5.98893i	−1.03217	−	0.595921i	−0.114562	−	0.993416i	$-0.536546\pi$
$101$	−10.3731	−	5.98893i	−1.03217	−	0.595921i	−0.917604	+	0.397495i	$0.869880\pi$
$102$	−1.65797	−	0.957230i	−0.164164	−	0.0947799i
$103$	−10.3799	+	10.3799i	−1.02276	+	1.02276i	−0.0230231	+	0.999735i	$0.507329\pi$
$103$	−10.3799	+	10.3799i	−1.02276	+	1.02276i	−0.999735	+	0.0230231i	$0.992671\pi$
$104$	−3.05354	+	1.91725i	−0.299425	+	0.188002i
$105$	3.96152	+	4.11391i	0.386605	+	0.401477i
$106$	−0.775759	+	0.207864i	−0.0753484	+	0.0201895i
$107$	−2.47066	−	9.22064i	−0.238848	−	0.891393i	−0.976376	−	0.216077i	$-0.930674\pi$
$107$	−2.47066	−	9.22064i	−0.238848	−	0.891393i	0.737528	−	0.675316i	$-0.235993\pi$
$108$	−0.965926	−	0.258819i	−0.0929463	−	0.0249049i
$109$	4.56900	−	4.56900i	0.437631	−	0.437631i	−0.453583	−	0.891214i	$-0.649855\pi$
$109$	4.56900	−	4.56900i	0.437631	−	0.437631i	0.891214	+	0.453583i	$0.149855\pi$
$110$	−0.575719	+	1.99710i	−0.0548927	+	0.190416i
$111$	−6.86232	−	1.83875i	−0.651343	−	0.174527i
$112$			2.55413i			0.241343i
$113$	−3.85142	+	14.3737i	−0.362311	+	1.35216i	0.508718	+	0.860933i	$0.330119\pi$
$113$	−3.85142	+	14.3737i	−0.362311	+	1.35216i	−0.871030	+	0.491231i	$0.836547\pi$
$114$	0.166398	−	0.288210i	0.0155846	−	0.0269933i
$115$	−4.32855	+	1.07273i	−0.403640	+	0.100032i
$116$		−	1.82914i		−	0.169831i
$117$	1.68582	−	3.18716i	0.155854	−	0.294653i
$118$	−3.76092	−	3.76092i	−0.346221	−	0.346221i
$119$	−1.26557	−	4.72317i	−0.116014	−	0.432972i
$120$	−0.537883	−	2.17041i	−0.0491018	−	0.198130i
$121$	8.77806	−	5.06801i	0.798005	−	0.460729i
$122$	−10.7898			−0.976863
$123$	−9.63674	+	5.56378i	−0.868916	+	0.501669i
$124$	−0.155153	+	0.579037i	−0.0139331	+	0.0519991i
$125$	0.632531	−	11.1624i	0.0565753	−	0.998398i
$126$	−1.27707	−	2.21194i	−0.113770	−	0.197055i
$127$	−11.3089	+	3.03020i	−1.00350	+	0.268887i	−0.722911	−	0.690941i	$-0.757196\pi$
$127$	−11.3089	+	3.03020i	−1.00350	+	0.268887i	−0.280589	+	0.959828i	$0.590530\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	−1.43441			−0.126292
$130$	8.06092	−	0.146719i	0.706990	−	0.0128681i
$131$	−17.7688			−1.55247			−0.776234	−	0.630445i	$-0.782873\pi$
$131$	−17.7688			−1.55247			−0.776234	+	0.630445i	$0.782873\pi$
$132$	0.464751	−	0.804972i	0.0404513	−	0.0700638i
$133$	0.821042	−	0.219997i	0.0711933	−	0.0190762i
$134$	6.90482	+	11.9595i	0.596485	+	1.03314i
$135$	1.55103	+	1.61069i	0.133491	+	0.138626i
$136$	−0.495499	+	1.84923i	−0.0424887	+	0.158570i
$137$	10.4189	−	6.01537i	0.890149	−	0.513928i	0.0161576	−	0.999869i	$-0.494857\pi$
$137$	10.4189	−	6.01537i	0.890149	−	0.513928i	0.873991	+	0.485942i	$0.161523\pi$
$138$	1.99435			0.169770
$139$	2.12380	−	1.22618i	0.180139	−	0.104003i	−0.407219	−	0.913330i	$-0.633501\pi$
$139$	2.12380	−	1.22618i	0.180139	−	0.104003i	0.587358	+	0.809327i	$0.300168\pi$
$140$	2.94842	−	4.89130i	0.249187	−	0.413390i
$141$	1.97309	+	7.36366i	0.166164	+	0.620132i
$142$	9.71350	+	9.71350i	0.815139	+	0.815139i
$143$	2.45597	+	2.28032i	0.205378	+	0.190690i
$144$			1.00000i			0.0833333i
$145$	−2.11150	+	3.50290i	−0.175351	+	0.290900i
$146$	8.08222	−	13.9988i	0.668889	−	1.15855i
$147$	−0.123305	+	0.460182i	−0.0101700	+	0.0379551i
$148$			7.10440i			0.583978i
$149$	−1.16248	−	0.311485i	−0.0952339	−	0.0255178i	0.210887	−	0.977510i	$-0.432365\pi$
$149$	−1.16248	−	0.311485i	−0.0952339	−	0.0255178i	−0.306121	+	0.951993i	$0.599031\pi$
$150$	−1.47539	+	4.77737i	−0.120465	+	0.390070i
$151$	5.91323	−	5.91323i	0.481212	−	0.481212i	−0.424307	−	0.905518i	$-0.639482\pi$
$151$	5.91323	−	5.91323i	0.481212	−	0.481212i	0.905518	+	0.424307i	$0.139482\pi$
$152$	−0.321456	−	0.0861340i	−0.0260736	−	0.00698639i
$153$	−0.495499	−	1.84923i	−0.0400587	−	0.149501i
$154$	2.29317	−	0.614454i	0.184789	−	0.0495141i
$155$	0.965549	−	0.929783i	0.0775548	−	0.0746820i
$156$	−3.51489	−	0.803478i	−0.281416	−	0.0643297i
$157$	−0.229594	+	0.229594i	−0.0183236	+	0.0183236i	−0.716209	−	0.697886i	$-0.754124\pi$
$157$	−0.229594	+	0.229594i	−0.0183236	+	0.0183236i	0.697886	+	0.716209i	$0.254124\pi$
$158$	−9.20995	−	5.31737i	−0.732705	−	0.423027i
$159$	−0.695526	−	0.401562i	−0.0551588	−	0.0318460i
$160$	−1.95724	+	1.08130i	−0.154734	+	0.0854841i
$161$	3.60188	+	3.60188i	0.283868	+	0.283868i
$162$	−0.500000	−	0.866025i	−0.0392837	−	0.0680414i
$163$	6.56113	+	11.3642i	0.513907	+	0.890114i	0.999870	+	0.0161339i	$0.00513581\pi$
$163$	6.56113	+	11.3642i	0.513907	+	0.890114i	−0.485963	+	0.873980i	$0.661531\pi$
$164$	7.86837	+	7.86837i	0.614416	+	0.614416i
$165$	−1.81926	+	1.00507i	−0.141629	+	0.0782445i
$166$	5.30455	+	3.06259i	0.411713	+	0.237703i
$167$	−0.388900	−	0.224532i	−0.0300940	−	0.0173748i	0.484878	−	0.874582i	$-0.338864\pi$
$167$	−0.388900	−	0.224532i	−0.0300940	−	0.0173748i	−0.514972	+	0.857207i	$0.672198\pi$
$168$	−1.80604	+	1.80604i	−0.139339	+	0.139339i
$169$	5.64827	−	11.7088i	0.434482	−	0.900680i
$170$	3.08360	−	2.96938i	0.236501	−	0.227741i
$171$	0.321456	−	0.0861340i	0.0245824	−	0.00658683i
$172$	0.371252	+	1.38553i	0.0283077	+	0.105646i
$173$	0.929886	+	0.249162i	0.0706979	+	0.0189435i	0.293995	−	0.955807i	$-0.405015\pi$
$173$	0.929886	+	0.249162i	0.0706979	+	0.0189435i	−0.223297	+	0.974751i	$0.571682\pi$
$174$	1.29340	−	1.29340i	0.0980521	−	0.0980521i
$175$	−11.2927	+	5.96352i	−0.853651	+	0.450800i
$176$	−0.897829	−	0.240573i	−0.0676764	−	0.0181338i
$177$		−	5.31874i		−	0.399781i
$178$	1.85029	−	6.90537i	0.138685	−	0.517580i
$179$	6.78999	−	11.7606i	0.507507	−	0.879029i	−0.492455	−	0.870338i	$-0.663900\pi$
$179$	6.78999	−	11.7606i	0.507507	−	0.879029i	0.999962	−	0.00869064i	$-0.00276635\pi$
$180$	1.15437	−	1.91505i	0.0860418	−	0.142740i
$181$		−	2.52719i		−	0.187844i	−0.995580	−	0.0939222i	$-0.970060\pi$
$181$		−	2.52719i		−	0.187844i	0.995580	−	0.0939222i	$-0.0299405\pi$
$182$	−4.89692	−	7.79915i	−0.362984	−	0.578112i
$183$	−7.62954	−	7.62954i	−0.563992	−	0.563992i
$184$	−0.516175	−	1.92639i	−0.0380529	−	0.142016i
$185$	8.20112	−	13.6053i	0.602958	−	1.00028i
$186$	−0.519150	+	0.299732i	−0.0380660	+	0.0219774i
$187$	1.77949			0.130129
$188$	6.60208	−	3.81171i	0.481506	−	0.277998i
$189$	0.661058	−	2.46710i	0.0480849	−	0.179455i
$190$	0.516175	+	0.536031i	0.0374473	+	0.0388878i
$191$	1.37683	+	2.38473i	0.0996236	+	0.172553i	0.911529	−	0.411236i	$-0.134903\pi$
$191$	1.37683	+	2.38473i	0.0996236	+	0.172553i	−0.811905	+	0.583789i	$0.801569\pi$
$192$	0.965926	−	0.258819i	0.0697097	−	0.0186787i
$193$	2.48500	−	4.30415i	0.178874	−	0.309819i	−0.762621	−	0.646846i	$-0.776088\pi$
$193$	2.48500	−	4.30415i	0.178874	−	0.309819i	0.941495	+	0.337026i	$0.109421\pi$
$194$	2.25087			0.161603
$195$	5.80368	+	5.59619i	0.415610	+	0.400751i
$196$	0.476415			0.0340296
$197$	12.3229	−	21.3439i	0.877970	−	1.52069i	0.0244058	−	0.999702i	$-0.492231\pi$
$197$	12.3229	−	21.3439i	0.877970	−	1.52069i	0.853565	−	0.520987i	$-0.174436\pi$
$198$	0.897829	−	0.240573i	0.0638059	−	0.0170968i
$199$	−5.90597	−	10.2294i	−0.418663	−	0.725145i	0.577142	−	0.816644i	$-0.304168\pi$
$199$	−5.90597	−	10.2294i	−0.418663	−	0.725145i	−0.995805	+	0.0914981i	$0.970834\pi$
$200$	4.99644	+	0.188640i	0.353302	+	0.0133389i
$201$	−3.57420	+	13.3391i	−0.252104	+	0.940866i
$202$	−10.3731	+	5.98893i	−0.729852	+	0.421380i
$203$	4.67186			0.327900
$204$	−1.65797	+	0.957230i	−0.116081	+	0.0670195i
$205$	−5.98532	−	24.1514i	−0.418033	−	1.68680i
$206$	3.79929	+	14.1792i	0.264709	+	0.987908i
$207$	1.41022	+	1.41022i	0.0980169	+	0.0980169i
$208$	0.133619	+	3.60307i	0.00926482	+	0.249828i
$209$			0.309334i			0.0213971i
$210$	5.54351	−	1.37382i	0.382539	−	0.0948028i
$211$	5.99850	−	10.3897i	0.412954	−	0.715257i	−0.582257	−	0.813005i	$-0.697830\pi$
$211$	5.99850	−	10.3897i	0.412954	−	0.715257i	0.995211	+	0.0977473i	$0.0311637\pi$
$212$	−0.207864	+	0.775759i	−0.0142762	+	0.0532793i
$213$			13.7370i			0.941241i
$214$	−9.22064	−	2.47066i	−0.630310	−	0.168891i
$215$	0.888450	−	3.08193i	0.0605918	−	0.210186i
$216$	−0.707107	+	0.707107i	−0.0481125	+	0.0481125i
$217$	−1.47894	−	0.396280i	−0.100397	−	0.0269012i
$218$	−1.67237	−	6.24137i	−0.113267	−	0.422719i
$219$	15.6136	−	4.18366i	1.05507	−	0.282706i
$220$	1.44168	+	1.49714i	0.0971980	+	0.100937i
$221$	−2.03241	−	6.59669i	−0.136715	−	0.443742i
$222$	−5.02357	+	5.02357i	−0.337160	+	0.337160i
$223$	−6.77473	−	3.91139i	−0.453670	−	0.261926i	0.255709	−	0.966754i	$-0.417691\pi$
$223$	−6.77473	−	3.91139i	−0.453670	−	0.261926i	−0.709379	+	0.704827i	$0.751024\pi$
$224$	2.21194	+	1.27707i	0.147792	+	0.0853275i
$225$	−4.42136	+	2.33485i	−0.294758	+	0.155657i
$226$	10.5223	+	10.5223i	0.699931	+	0.699931i
$227$	−2.02496	−	3.50733i	−0.134401	−	0.232790i	0.790967	−	0.611858i	$-0.209578\pi$
$227$	−2.02496	−	3.50733i	−0.134401	−	0.232790i	−0.925369	+	0.379069i	$0.876244\pi$
$228$	−0.166398	−	0.288210i	−0.0110200	−	0.0190872i
$229$	−9.46902	−	9.46902i	−0.625731	−	0.625731i	0.321260	−	0.946991i	$-0.395894\pi$
$229$	−9.46902	−	9.46902i	−0.625731	−	0.625731i	−0.946991	+	0.321260i	$0.895894\pi$
$230$	−1.23527	+	4.28500i	−0.0814513	+	0.282545i
$231$	2.05600	+	1.18703i	0.135275	+	0.0781011i
$232$	−1.58408	−	0.914569i	−0.104000	−	0.0600444i
$233$	6.50570	−	6.50570i	0.426202	−	0.426202i	−0.461130	−	0.887333i	$-0.652556\pi$
$233$	6.50570	−	6.50570i	0.426202	−	0.426202i	0.887333	+	0.461130i	$0.152556\pi$
$234$	−1.91725	−	3.05354i	−0.125335	−	0.199616i
$235$	−17.0435	−	0.321623i	−1.11179	−	0.0209803i
$236$	−5.13751	+	1.37659i	−0.334424	+	0.0896085i
$237$	−2.75247	−	10.2724i	−0.178792	−	0.667262i
$238$	−4.72317	−	1.26557i	−0.306157	−	0.0820346i
$239$	5.17196	−	5.17196i	0.334547	−	0.334547i	−0.519764	−	0.854310i	$-0.673980\pi$
$239$	5.17196	−	5.17196i	0.334547	−	0.334547i	0.854310	+	0.519764i	$0.173980\pi$
$240$	−2.14857	−	0.619385i	−0.138690	−	0.0399811i
$241$	23.3556	+	6.25813i	1.50447	+	0.403121i	0.914594	−	0.404373i	$-0.132510\pi$
$241$	23.3556	+	6.25813i	1.50447	+	0.403121i	0.589875	+	0.807494i	$0.299177\pi$
$242$		−	10.1360i		−	0.651569i
$243$	0.258819	−	0.965926i	0.0166032	−	0.0619642i
$244$	−5.39490	+	9.34424i	−0.345373	+	0.598204i
$245$	−0.912360	−	0.549960i	−0.0582885	−	0.0351356i
$246$			11.1276i			0.709467i
$247$	1.14672	−	0.353300i	0.0729642	−	0.0224799i
$248$	0.423885	+	0.423885i	0.0269167	+	0.0269167i
$249$	1.58531	+	5.91646i	0.100465	+	0.374940i
$250$	−9.35068	−	6.12900i	−0.591389	−	0.387632i
$251$	14.7980	−	8.54362i	0.934041	−	0.539269i	0.0459534	−	0.998944i	$-0.485367\pi$
$251$	14.7980	−	8.54362i	0.934041	−	0.539269i	0.888087	+	0.459675i	$0.152034\pi$
$252$	−2.55413			−0.160895
$253$	−1.60539	+	0.926874i	−0.100930	+	0.0582721i
$254$	−3.03020	+	11.3089i	−0.190132	+	0.709582i
$255$	4.28010	+	0.0807686i	0.268030	+	0.00505793i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−14.7636	+	3.95589i	−0.920928	+	0.246762i	−0.687982	−	0.725728i	$-0.741503\pi$
$257$	−14.7636	+	3.95589i	−0.920928	+	0.246762i	−0.232946	+	0.972490i	$0.574836\pi$
$258$	−0.717203	+	1.24223i	−0.0446511	+	0.0773380i
$259$	−18.1456			−1.12751
$260$	3.90340	−	7.05432i	0.242079	−	0.437491i
$261$	1.82914			0.113221
$262$	−8.88441	+	15.3882i	−0.548880	+	0.950689i
$263$	18.5180	−	4.96189i	1.14187	−	0.305963i	0.362168	−	0.932113i	$-0.382037\pi$
$263$	18.5180	−	4.96189i	1.14187	−	0.305963i	0.779703	+	0.626150i	$0.215370\pi$
$264$	−0.464751	−	0.804972i	−0.0286034	−	0.0495426i
$265$	1.29358	−	1.24567i	0.0794643	−	0.0765207i
$266$	0.219997	−	0.821042i	0.0134889	−	0.0503413i
$267$	6.19119	−	3.57448i	0.378895	−	0.218755i
$268$	13.8096			0.843558
$269$	−23.7925	+	13.7366i	−1.45066	+	0.837537i	−0.998519	−	0.0544117i	$-0.982672\pi$
$269$	−23.7925	+	13.7366i	−1.45066	+	0.837537i	−0.452137	+	0.891948i	$0.649338\pi$
$270$	2.17041	−	0.537883i	0.132087	−	0.0327345i
$271$	3.85790	+	14.3979i	0.234351	+	0.874608i	0.978440	+	0.206529i	$0.0662168\pi$
$271$	3.85790	+	14.3979i	0.234351	+	0.874608i	−0.744090	+	0.668080i	$0.767117\pi$
$272$	1.35373	+	1.35373i	0.0820818	+	0.0820818i
$273$	2.05219	−	8.97748i	0.124204	−	0.543342i
$274$		−	12.0307i		−	0.726803i
$275$	−1.03264	−	4.53133i	−0.0622705	−	0.273250i
$276$	0.997174	−	1.72716i	0.0600228	−	0.103963i
$277$	4.01837	−	14.9968i	0.241440	−	0.901068i	−0.733699	−	0.679475i	$-0.762208\pi$
$277$	4.01837	−	14.9968i	0.241440	−	0.901068i	0.975139	−	0.221593i	$-0.0711256\pi$
$278$		−	2.45236i		−	0.147083i
$279$	−0.579037	−	0.155153i	−0.0346660	−	0.00928874i
$280$	−2.76178	−	4.99905i	−0.165048	−	0.298750i
$281$	−0.565871	+	0.565871i	−0.0337570	+	0.0337570i	−0.723784	−	0.690027i	$-0.757599\pi$
$281$	−0.565871	+	0.565871i	−0.0337570	+	0.0337570i	0.690027	+	0.723784i	$0.257599\pi$
$282$	7.36366	+	1.97309i	0.438500	+	0.117496i
$283$	7.85273	+	29.3068i	0.466796	+	1.74211i	0.650865	+	0.759194i	$0.274407\pi$
$283$	7.85273	+	29.3068i	0.466796	+	1.74211i	−0.184068	+	0.982913i	$0.558927\pi$
$284$	13.2689	−	3.55539i	0.787363	−	0.210973i
$285$	−0.0140402	+	0.744022i	−0.000831673	+	0.0440721i
$286$	3.20280	−	0.986768i	0.189386	−	0.0583488i
$287$	−20.0968	+	20.0968i	−1.18628	+	1.18628i
$288$	0.866025	+	0.500000i	0.0510310	+	0.0294628i
$289$	11.5483	+	6.66742i	0.679313	+	0.392201i
$290$	1.97784	+	3.58006i	0.116143	+	0.210229i
$291$	1.59161	+	1.59161i	0.0933017	+	0.0933017i
$292$	−8.08222	−	13.9988i	−0.472976	−	0.819219i
$293$	10.5933	+	18.3481i	0.618864	+	1.07190i	0.989693	+	0.143203i	$0.0457403\pi$
$293$	10.5933	+	18.3481i	0.618864	+	1.07190i	−0.370829	+	0.928701i	$0.620926\pi$
$294$	0.336876	+	0.336876i	0.0196470	+	0.0196470i
$295$	11.4277	+	3.29435i	0.665347	+	0.191805i
$296$	6.15259	+	3.55220i	0.357612	+	0.206467i
$297$	0.804972	+	0.464751i	0.0467092	+	0.0269676i
$298$	−0.850993	+	0.850993i	−0.0492967	+	0.0492967i
$299$	5.26955	+	4.89269i	0.304746	+	0.282951i
$300$	3.39963	+	3.66641i	0.196278	+	0.211680i
$301$	−3.53883	+	0.948226i	−0.203975	+	0.0546548i
$302$	−2.16439	−	8.07762i	−0.124547	−	0.464815i
$303$	−11.5697	−	3.10010i	−0.664664	−	0.178096i
$304$	−0.235322	+	0.235322i	−0.0134967	+	0.0134967i
$305$	21.1182	−	11.6670i	1.20923	−	0.668050i
$306$	−1.84923	−	0.495499i	−0.105713	−	0.0283258i
$307$			28.2873i			1.61444i	0.590249	+	0.807222i	$0.299030\pi$
$307$			28.2873i			1.61444i	−0.590249	+	0.807222i	$0.700970\pi$
$308$	0.614454	−	2.29317i	0.0350118	−	0.130666i
$309$	−7.33967	+	12.7127i	−0.417539	+	0.723199i
$310$	−0.322441	−	1.30108i	−0.0183134	−	0.0738965i
$311$		−	5.66700i		−	0.321346i	−0.987008	−	0.160673i	$-0.948634\pi$
$311$		−	5.66700i		−	0.321346i	0.987008	−	0.160673i	$-0.0513665\pi$
$312$	−2.45328	+	2.64224i	−0.138889	+	0.149587i
$313$	−12.2045	−	12.2045i	−0.689841	−	0.689841i	0.272356	−	0.962197i	$-0.412197\pi$
$313$	−12.2045	−	12.2045i	−0.689841	−	0.689841i	−0.962197	+	0.272356i	$0.912197\pi$
$314$	0.0840373	+	0.313631i	0.00474250	+	0.0176992i
$315$	4.89130	+	2.94842i	0.275593	+	0.166124i
$316$	−9.20995	+	5.31737i	−0.518100	+	0.299125i
$317$	20.4521			1.14870			0.574351	−	0.818609i	$-0.305254\pi$
$317$	20.4521			1.14870			0.574351	+	0.818609i	$0.305254\pi$
$318$	−0.695526	+	0.401562i	−0.0390032	+	0.0225185i
$319$	−0.440041	+	1.64225i	−0.0246375	+	0.0919486i
$320$	−0.0421887	+	2.23567i	−0.00235842	+	0.124978i
$321$	−4.77296	−	8.26700i	−0.266400	−	0.461419i
$322$	4.92026	−	1.31838i	0.274195	−	0.0734704i
$323$	0.318562	−	0.551766i	0.0177253	−	0.0307011i
$324$	−1.00000			−0.0555556
$325$	−15.6185	+	9.00343i	−0.866360	+	0.499420i
$326$	13.1223			0.726775
$327$	3.23077	−	5.59586i	0.178662	−	0.309452i
$328$	10.7484	−	2.88002i	0.593481	−	0.159023i
$329$	9.73561	+	16.8626i	0.536742	+	0.929664i
$330$	−0.0392145	+	2.07806i	−0.00215869	+	0.114393i
$331$	−8.55872	+	31.9416i	−0.470430	+	1.75567i	0.167799	+	0.985821i	$0.446334\pi$
$331$	−8.55872	+	31.9416i	−0.470430	+	1.75567i	−0.638229	+	0.769847i	$0.720333\pi$
$332$	5.30455	−	3.06259i	0.291125	−	0.168081i
$333$	−7.10440			−0.389319
$334$	−0.388900	+	0.224532i	−0.0212797	+	0.0122858i
$335$	−26.4462	−	15.9414i	−1.44491	−	0.870974i
$336$	0.661058	+	2.46710i	0.0360637	+	0.134591i
$337$	24.5644	+	24.5644i	1.33811	+	1.33811i	0.897889	+	0.440221i	$0.145100\pi$
$337$	24.5644	+	24.5644i	1.33811	+	1.33811i	0.440221	+	0.897889i	$0.354900\pi$
$338$	−7.31602	−	10.7460i	−0.397939	−	0.584504i
$339$			14.8807i			0.808211i
$340$	−1.02976	−	4.15516i	−0.0558463	−	0.225345i
$341$	0.278601	−	0.482551i	0.0150871	−	0.0261316i
$342$	0.0861340	−	0.321456i	0.00465759	−	0.0173824i
$343$			19.0957i			1.03107i
$344$	1.38553	+	0.371252i	0.0747028	+	0.0200166i
$345$	−3.90342	+	2.15649i	−0.210153	+	0.116101i
$346$	0.680724	−	0.680724i	0.0365959	−	0.0365959i
$347$	4.40894	+	1.18137i	0.236684	+	0.0634193i	0.375211	−	0.926939i	$-0.377570\pi$
$347$	4.40894	+	1.18137i	0.236684	+	0.0634193i	−0.138527	+	0.990359i	$0.544237\pi$
$348$	−0.473416	−	1.76681i	−0.0253778	−	0.0947111i
$349$	−17.4957	+	4.68796i	−0.936524	+	0.250941i	−0.694634	−	0.719363i	$-0.744434\pi$
$349$	−17.4957	+	4.68796i	−0.936524	+	0.250941i	−0.241890	+	0.970304i	$0.577767\pi$
$350$	−0.481812	+	12.7616i	−0.0257539	+	0.682134i
$351$	0.803478	−	3.51489i	0.0428865	−	0.187611i
$352$	−0.657257	+	0.657257i	−0.0350319	+	0.0350319i
$353$	−27.9524	−	16.1383i	−1.48776	−	0.858958i	−0.487856	−	0.872924i	$-0.662221\pi$
$353$	−27.9524	−	16.1383i	−1.48776	−	0.858958i	−0.999902	+	0.0139668i	$0.995554\pi$
$354$	−4.60617	−	2.65937i	−0.244815	−	0.141344i
$355$	−29.5148	−	8.50847i	−1.56649	−	0.451583i
$356$	−5.05508	−	5.05508i	−0.267919	−	0.267919i
$357$	−2.44489	−	4.23468i	−0.129397	−	0.224123i
$358$	−6.78999	−	11.7606i	−0.358862	−	0.621567i
$359$	−12.8729	−	12.8729i	−0.679404	−	0.679404i	0.280461	−	0.959865i	$-0.409513\pi$
$359$	−12.8729	−	12.8729i	−0.679404	−	0.679404i	−0.959865	+	0.280461i	$0.909513\pi$
$360$	−1.08130	−	1.95724i	−0.0569894	−	0.103156i
$361$	−16.3586	−	9.44462i	−0.860977	−	0.497085i
$362$	−2.18861	−	1.26359i	−0.115031	−	0.0664130i
$363$	7.16725	−	7.16725i	0.376183	−	0.376183i
$364$	−9.20272	+	0.341281i	−0.482354	+	0.0178880i
$365$	−0.681957	+	36.1383i	−0.0356953	+	1.89157i
$366$	−10.4221	+	2.79261i	−0.544774	+	0.145972i
$367$	0.463412	+	1.72948i	0.0241899	+	0.0902779i	0.976965	−	0.213397i	$-0.0684529\pi$
$367$	0.463412	+	1.72948i	0.0241899	+	0.0902779i	−0.952776	+	0.303675i	$0.901786\pi$
$368$	−1.92639	−	0.516175i	−0.100420	−	0.0269075i
$369$	−7.86837	+	7.86837i	−0.409611	+	0.409611i
$370$	−7.68198	−	13.9050i	−0.399367	−	0.722888i
$371$	−1.98139	−	0.530912i	−0.102869	−	0.0275636i
$372$			0.599463i			0.0310807i
$373$	5.88650	−	21.9687i	0.304792	−	1.13750i	−0.628333	−	0.777945i	$-0.716262\pi$
$373$	5.88650	−	21.9687i	0.304792	−	1.13750i	0.933125	−	0.359553i	$-0.117071\pi$
$374$	0.889746	−	1.54109i	0.0460077	−	0.0796877i
$375$	−2.27807	−	10.9458i	−0.117639	−	0.565238i
$376$		−	7.62342i		−	0.393148i
$377$	6.59052	−	0.244408i	0.339429	−	0.0125876i
$378$	−1.80604	−	1.80604i	−0.0928928	−	0.0928928i
$379$	8.36754	+	31.2281i	0.429812	+	1.60408i	0.753185	+	0.657808i	$0.228516\pi$
$379$	8.36754	+	31.2281i	0.429812	+	1.60408i	−0.323373	+	0.946271i	$0.604817\pi$
$380$	0.722304	−	0.179005i	0.0370534	−	0.00918278i
$381$	−10.1393	+	5.85390i	−0.519450	+	0.299904i
$382$	2.75365			0.140889
$383$	30.7647	−	17.7620i	1.57200	−	0.907596i	0.576079	−	0.817394i	$-0.304582\pi$
$383$	30.7647	−	17.7620i	1.57200	−	0.907596i	0.995923	−	0.0902021i	$-0.0287513\pi$
$384$	0.258819	−	0.965926i	0.0132078	−	0.0492922i
$385$	−3.82389	+	3.68224i	−0.194883	+	0.187664i
$386$	−2.48500	−	4.30415i	−0.126483	−	0.219075i
$387$	−1.38553	+	0.371252i	−0.0704305	+	0.0188718i
$388$	1.12544	−	1.94931i	0.0571354	−	0.0989614i
$389$	−32.1529			−1.63022			−0.815108	−	0.579308i	$-0.803323\pi$
$389$	−32.1529			−1.63022			−0.815108	+	0.579308i	$0.803323\pi$
$390$	7.74828	−	2.22804i	0.392349	−	0.112821i
$391$	3.81810			0.193090
$392$	0.238207	−	0.412587i	0.0120313	−	0.0208388i
$393$	−17.1634	+	4.59891i	−0.865777	+	0.231984i
$394$	−12.3229	−	21.3439i	−0.620819	−	1.07529i
$395$	23.7758	+	0.448666i	1.19629	+	0.0225748i
$396$	0.240573	−	0.897829i	0.0120892	−	0.0451176i
$397$	5.41860	−	3.12843i	0.271952	−	0.157012i	−0.357822	−	0.933790i	$-0.616481\pi$
$397$	5.41860	−	3.12843i	0.271952	−	0.157012i	0.629774	+	0.776778i	$0.283147\pi$
$398$	−11.8119			−0.592079
$399$	0.736126	−	0.425002i	0.0368524	−	0.0212767i
$400$	2.66159	−	4.23272i	0.133079	−	0.211636i
$401$	0.723508	+	2.70017i	0.0361303	+	0.134840i	0.981635	−	0.190768i	$-0.0610977\pi$
$401$	0.723508	+	2.70017i	0.0361303	+	0.134840i	−0.945505	+	0.325608i	$0.894431\pi$
$402$	9.76488	+	9.76488i	0.487028	+	0.487028i
$403$	−2.10705	−	0.481656i	−0.104959	−	0.0239930i
$404$			11.9779i			0.595921i
$405$	1.91505	+	1.15437i	0.0951597	+	0.0573612i
$406$	2.33593	−	4.04595i	0.115930	−	0.200797i
$407$	1.70912	−	6.37854i	0.0847181	−	0.316172i
$408$			1.91446i			0.0947799i
$409$	29.3782	+	7.87186i	1.45266	+	0.389238i	0.896947	−	0.442138i	$-0.145780\pi$
$409$	29.3782	+	7.87186i	1.45266	+	0.389238i	0.555710	+	0.831376i	$0.312446\pi$
$410$	−23.9084	−	6.89224i	−1.18075	−	0.340384i
$411$	8.50702	−	8.50702i	0.419620	−	0.419620i
$412$	14.1792	+	3.79929i	0.698557	+	0.187178i
$413$	−3.51600	−	13.1219i	−0.173011	−	0.645686i
$414$	1.92639	−	0.516175i	0.0946770	−	0.0253686i
$415$	−13.6939	−	0.258413i	−0.672205	−	0.0126850i
$416$	3.18716	+	1.68582i	0.156264	+	0.0826541i
$417$	1.73408	−	1.73408i	0.0849182	−	0.0849182i
$418$	0.267891	+	0.154667i	0.0131030	+	0.00756502i
$419$	15.8112	+	9.12861i	0.772429	+	0.445962i	0.833740	−	0.552157i	$-0.186195\pi$
$419$	15.8112	+	9.12861i	0.772429	+	0.445962i	−0.0613116	+	0.998119i	$0.519528\pi$
$420$	1.58199	−	5.48773i	0.0771932	−	0.267774i
$421$	6.76657	+	6.76657i	0.329782	+	0.329782i	0.852504	−	0.522721i	$-0.175083\pi$
$421$	6.76657	+	6.76657i	0.329782	+	0.329782i	−0.522721	+	0.852504i	$0.675083\pi$
$422$	−5.99850	−	10.3897i	−0.292003	−	0.505763i
$423$	3.81171	+	6.60208i	0.185332	+	0.321004i
$424$	0.567895	+	0.567895i	0.0275794	+	0.0275794i
$425$	−2.82457	+	9.14608i	−0.137012	+	0.443650i
$426$	11.8966	+	6.86848i	0.576390	+	0.332779i
$427$	−23.8664	−	13.7793i	−1.15498	−	0.666826i
$428$	−6.74998	+	6.74998i	−0.326273	+	0.326273i
$429$	2.96247	+	1.56697i	0.143030	+	0.0756541i
$430$	−2.22480	−	2.31038i	−0.107289	−	0.111417i
$431$	−28.8494	+	7.73016i	−1.38962	+	0.372349i	−0.874608	−	0.484831i	$-0.838881\pi$
$431$	−28.8494	+	7.73016i	−1.38962	+	0.372349i	−0.515017	+	0.857180i	$0.672214\pi$
$432$	0.258819	+	0.965926i	0.0124524	+	0.0464731i
$433$	13.3080	+	3.56587i	0.639542	+	0.171365i	0.563996	−	0.825777i	$-0.309263\pi$
$433$	13.3080	+	3.56587i	0.639542	+	0.171365i	0.0755462	+	0.997142i	$0.475930\pi$
$434$	−1.08266	+	1.08266i	−0.0519692	+	0.0519692i
$435$	−1.13294	+	3.93004i	−0.0543204	+	0.188431i
$436$	−6.24137	−	1.67237i	−0.298907	−	0.0800920i
$437$			0.663711i			0.0317496i
$438$	4.18366	−	15.6136i	0.199903	−	0.746049i
$439$	2.23458	−	3.87040i	0.106651	−	0.184724i	−0.807761	−	0.589510i	$-0.799321\pi$
$439$	2.23458	−	3.87040i	0.106651	−	0.184724i	0.914411	+	0.404786i	$0.132654\pi$
$440$	2.01740	−	0.499963i	0.0961757	−	0.0238348i
$441$			0.476415i			0.0226864i
$442$	−6.72911	−	1.53823i	−0.320071	−	0.0731660i
$443$	−23.1131	−	23.1131i	−1.09814	−	1.09814i	−0.994629	−	0.103506i	$-0.966994\pi$
$443$	−23.1131	−	23.1131i	−1.09814	−	1.09814i	−0.103506	−	0.994629i	$-0.533006\pi$
$444$	1.83875	+	6.86232i	0.0872634	+	0.325672i
$445$	3.84531	+	15.5162i	0.182285	+	0.735538i
$446$	−6.77473	+	3.91139i	−0.320793	+	0.185210i
$447$	−1.20349			−0.0569229
$448$	2.21194	−	1.27707i	0.104504	−	0.0603357i
$449$	−1.98138	+	7.39460i	−0.0935070	+	0.348973i	−0.996789	−	0.0800748i	$-0.974484\pi$
$449$	−1.98138	+	7.39460i	−0.0935070	+	0.348973i	0.903282	+	0.429048i	$0.141151\pi$
$450$	−0.188640	+	4.99644i	−0.00889258	+	0.235534i
$451$	−5.17154	−	8.95737i	−0.243518	−	0.421786i
$452$	14.3737	−	3.85142i	0.676082	−	0.181156i
$453$	4.18128	−	7.24220i	0.196454	−	0.340268i
$454$	−4.04991			−0.190072
$455$	18.0177	+	9.96979i	0.844681	+	0.467391i
$456$	−0.332796			−0.0155846
$457$	9.35023	−	16.1951i	0.437385	−	0.757573i	−0.560102	−	0.828424i	$-0.689238\pi$
$457$	9.35023	−	16.1951i	0.437385	−	0.757573i	0.997487	+	0.0708504i	$0.0225713\pi$
$458$	−12.9349	+	3.46590i	−0.604409	+	0.161951i
$459$	−0.957230	−	1.65797i	−0.0446797	−	0.0773875i
$460$	3.09328	+	3.21228i	0.144225	+	0.149773i
$461$	−0.327935	+	1.22387i	−0.0152735	+	0.0570014i	−0.973142	−	0.230206i	$-0.926060\pi$
$461$	−0.327935	+	1.22387i	−0.0152735	+	0.0570014i	0.957869	+	0.287207i	$0.0927268\pi$
$462$	2.05600	−	1.18703i	0.0956539	−	0.0552258i
$463$	17.7535			0.825074			0.412537	−	0.910941i	$-0.364643\pi$
$463$	17.7535			0.825074			0.412537	+	0.910941i	$0.364643\pi$
$464$	−1.58408	+	0.914569i	−0.0735391	+	0.0424578i
$465$	0.692003	−	1.14800i	0.0320909	−	0.0532374i
$466$	−2.38125	−	8.88695i	−0.110309	−	0.411680i
$467$	13.0166	+	13.0166i	0.602337	+	0.602337i	0.940932	−	0.338595i	$-0.109952\pi$
$467$	13.0166	+	13.0166i	0.602337	+	0.602337i	−0.338595	+	0.940932i	$0.609952\pi$
$468$	−3.60307	+	0.133619i	−0.166552	+	0.00617654i
$469$			35.2716i			1.62869i
$470$	−8.80026	+	14.5993i	−0.405926	+	0.673414i
$471$	−0.162348	+	0.281194i	−0.00748058	+	0.0129567i
$472$	−1.37659	+	5.13751i	−0.0633628	+	0.236473i
$473$		−	1.33328i		−	0.0613044i
$474$	−10.2724	−	2.75247i	−0.471826	−	0.126425i
$475$	−1.58989	−	0.491003i	−0.0729491	−	0.0225288i
$476$	−3.45760	+	3.45760i	−0.158479	+	0.158479i
$477$	−0.775759	−	0.207864i	−0.0355196	−	0.00951744i
$478$	−1.89307	−	7.06504i	−0.0865870	−	0.323147i
$479$	−41.7863	+	11.1966i	−1.90927	+	0.511586i	−0.915173	+	0.403062i	$0.867946\pi$
$479$	−41.7863	+	11.1966i	−1.90927	+	0.511586i	−0.994094	+	0.108524i	$0.965388\pi$
$480$	−1.61069	+	1.55103i	−0.0735176	+	0.0707943i
$481$	−25.5977	+	0.949283i	−1.16715	+	0.0432836i
$482$	17.0975	−	17.0975i	0.778771	−	0.778771i
$483$	4.41138	+	2.54691i	0.200725	+	0.115889i
$484$	−8.77806	−	5.06801i	−0.399003	−	0.230364i
$485$	−4.40550	+	2.43387i	−0.200044	+	0.110516i
$486$	−0.707107	−	0.707107i	−0.0320750	−	0.0320750i
$487$	15.6335	+	27.0780i	0.708421	+	1.22702i	0.965443	+	0.260616i	$0.0839255\pi$
$487$	15.6335	+	27.0780i	0.708421	+	1.22702i	−0.257022	+	0.966406i	$0.582741\pi$
$488$	5.39490	+	9.34424i	0.244216	+	0.422994i
$489$	9.27884	+	9.27884i	0.419604	+	0.419604i
$490$	−0.932459	+	0.515147i	−0.0421242	+	0.0232720i
$491$	12.4315	+	7.17735i	0.561028	+	0.323909i	0.753558	−	0.657382i	$-0.228336\pi$
$491$	12.4315	+	7.17735i	0.561028	+	0.323909i	−0.192530	+	0.981291i	$0.561669\pi$
$492$	9.63674	+	5.56378i	0.434458	+	0.250834i
$493$	2.47615	−	2.47615i	0.111520	−	0.111520i
$494$	0.267394	−	1.16974i	0.0120306	−	0.0526291i
$495$	−1.49714	+	1.44168i	−0.0672913	+	0.0647987i
$496$	0.579037	−	0.155153i	0.0259995	−	0.00696655i
$497$	9.08092	+	33.8905i	0.407335	+	1.52020i
$498$	5.91646	+	1.58531i	0.265123	+	0.0710395i
$499$	−8.35744	+	8.35744i	−0.374130	+	0.374130i	−0.868979	−	0.494849i	$-0.835223\pi$
$499$	−8.35744	+	8.35744i	−0.374130	+	0.374130i	0.494849	+	0.868979i	$0.335223\pi$
$500$	−9.98322	+	5.03343i	−0.446463	+	0.225102i
$501$	−0.433762	−	0.116226i	−0.0193790	−	0.00519260i
$502$		−	17.0872i		−	0.762641i
$503$	−1.27853	+	4.77153i	−0.0570067	+	0.212752i	−0.988554	−	0.150869i	$-0.951793\pi$
$503$	−1.27853	+	4.77153i	−0.0570067	+	0.212752i	0.931547	+	0.363621i	$0.118460\pi$
$504$	−1.27707	+	2.21194i	−0.0568850	+	0.0985277i
$505$	13.8269	−	22.9383i	0.615289	−	1.02074i
$506$			1.85375i			0.0824092i
$507$	2.42534	−	12.7718i	0.107713	−	0.567214i
$508$	8.27867	+	8.27867i	0.367306	+	0.367306i
$509$	−6.96943	−	26.0103i	−0.308915	−	1.15288i	−0.929523	−	0.368764i	$-0.879781\pi$
$509$	−6.96943	−	26.0103i	−0.308915	−	1.15288i	0.620608	−	0.784121i	$-0.286886\pi$
$510$	2.21000	−	3.66629i	0.0978604	−	0.162346i
$511$	35.7548	−	20.6430i	1.58170	−	0.913195i
$512$	−1.00000			−0.0441942
$513$	0.288210	−	0.166398i	0.0127248	−	0.00734665i
$514$	−3.95589	+	14.7636i	−0.174487	+	0.651194i
$515$	−22.7680	−	23.6439i	−1.00328	−	1.04187i
$516$	0.717203	+	1.24223i	0.0315731	+	0.0546862i
$517$	−6.84453	+	1.83399i	−0.301022	+	0.0806586i
$518$	−9.07279	+	15.7145i	−0.398635	+	0.690457i
$519$	0.962689			0.0422574
$520$	−4.15752	−	6.90760i	−0.182319	−	0.302918i
$521$	25.9589			1.13728			0.568641	−	0.822586i	$-0.307469\pi$
$521$	25.9589			1.13728			0.568641	+	0.822586i	$0.307469\pi$
$522$	0.914569	−	1.58408i	0.0400296	−	0.0693333i
$523$	26.6344	−	7.13667i	1.16464	−	0.312065i	0.375823	−	0.926691i	$-0.377360\pi$
$523$	26.6344	−	7.13667i	1.16464	−	0.312065i	0.788818	+	0.614627i	$0.210693\pi$
$524$	8.88441	+	15.3882i	0.388117	+	0.672238i
$525$	−9.36448	+	8.68310i	−0.408699	+	0.378961i
$526$	4.96189	−	18.5180i	0.216349	−	0.807425i
$527$	−0.993893	+	0.573824i	−0.0432947	+	0.0249962i
$528$	−0.929501			−0.0404513
$529$	16.4740	−	9.51129i	0.716262	−	0.413534i
$530$	−0.431987	−	1.74311i	−0.0187643	−	0.0757159i
$531$	−1.37659	−	5.13751i	−0.0597390	−	0.222949i
$532$	−0.601044	−	0.601044i	−0.0260586	−	0.0260586i
$533$	−27.2990	+	29.4017i	−1.18245	+	1.27353i
$534$		−	7.14897i		−	0.309366i
$535$	20.7185	−	5.13458i	0.895741	−	0.221987i
$536$	6.90482	−	11.9595i	0.298243	−	0.516571i
$537$	3.51476	−	13.1172i	0.151673	−	0.566051i
$538$			27.4732i			1.18446i
$539$	−0.427739	−	0.114612i	−0.0184240	−	0.00493671i
$540$	0.619385	−	2.14857i	0.0266541	−	0.0924598i
$541$	−8.08512	+	8.08512i	−0.347606	+	0.347606i	−0.859217	−	0.511611i	$-0.829049\pi$
$541$	−8.08512	+	8.08512i	−0.347606	+	0.347606i	0.511611	+	0.859217i	$0.329049\pi$
$542$	14.3979	+	3.85790i	0.618442	+	0.165711i
$543$	−0.654084	−	2.44108i	−0.0280694	−	0.104757i
$544$	1.84923	−	0.495499i	0.0792849	−	0.0212443i
$545$	10.0220	+	10.4075i	0.429296	+	0.445810i
$546$	−6.74863	−	6.26599i	−0.288815	−	0.268159i
$547$	26.7394	−	26.7394i	1.14329	−	1.14329i	0.155449	−	0.987844i	$-0.450318\pi$
$547$	26.7394	−	26.7394i	1.14329	−	1.14329i	0.987844	−	0.155449i	$-0.0496824\pi$
$548$	−10.4189	−	6.01537i	−0.445074	−	0.256964i
$549$	−9.34424	−	5.39490i	−0.398802	−	0.230249i
$550$	−4.44057	−	1.37137i	−0.189346	−	0.0584756i
$551$	0.430437	+	0.430437i	0.0183372	+	0.0183372i
$552$	−0.997174	−	1.72716i	−0.0424425	−	0.0735126i
$553$	−13.5813	−	23.5234i	−0.577534	−	1.00032i
$554$	−10.9784	−	10.9784i	−0.466427	−	0.466427i
$555$	4.40036	−	15.2643i	0.186785	−	0.647934i
$556$	−2.12380	−	1.22618i	−0.0900694	−	0.0520016i
$557$	−10.9134	−	6.30086i	−0.462416	−	0.266976i	0.250644	−	0.968079i	$-0.419358\pi$
$557$	−10.9134	−	6.30086i	−0.462416	−	0.266976i	−0.713060	+	0.701103i	$0.752691\pi$
$558$	−0.423885	+	0.423885i	−0.0179445	+	0.0179445i
$559$	−4.94256	+	1.52278i	−0.209048	+	0.0644068i
$560$	−5.71019	−	0.107756i	−0.241300	−	0.00455350i
$561$	1.71886	−	0.460567i	0.0725702	−	0.0194451i
$562$	0.207123	+	0.772994i	0.00873696	+	0.0326068i
$563$	25.7787	+	6.90739i	1.08644	+	0.291112i	0.757233	−	0.653144i	$-0.226551\pi$
$563$	25.7787	+	6.90739i	1.08644	+	0.291112i	0.329211	+	0.944256i	$0.393217\pi$
$564$	5.39057	−	5.39057i	0.226984	−	0.226984i
$565$	−31.9724	−	9.21691i	−1.34509	−	0.387758i
$566$	29.3068	+	7.85273i	1.23186	+	0.330075i
$567$		−	2.55413i		−	0.107263i
$568$	3.55539	−	13.2689i	0.149181	−	0.556750i
$569$	12.4597	−	21.5808i	0.522337	−	0.904715i	−0.477325	−	0.878727i	$-0.658394\pi$
$569$	12.4597	−	21.5808i	0.522337	−	0.904715i	0.999662	−	0.0259877i	$-0.00827308\pi$
$570$	0.637322	+	0.384170i	0.0266945	+	0.0160911i
$571$		−	28.5531i		−	1.19491i	−0.801903	−	0.597455i	$-0.796179\pi$
$571$		−	28.5531i		−	1.19491i	0.801903	−	0.597455i	$-0.203821\pi$
$572$	0.746834	−	3.26709i	0.0312267	−	0.136604i
$573$	1.94713	+	1.94713i	0.0813424	+	0.0813424i
$574$	7.35596	+	27.4528i	0.307032	+	1.14586i
$575$	−2.21564	−	9.72248i	−0.0923987	−	0.405455i
$576$	0.866025	−	0.500000i	0.0360844	−	0.0208333i
$577$	5.57578			0.232123			0.116061	−	0.993242i	$-0.462973\pi$
$577$	5.57578			0.232123			0.116061	+	0.993242i	$0.462973\pi$
$578$	11.5483	−	6.66742i	0.480346	−	0.277328i
$579$	1.28633	−	4.80065i	0.0534581	−	0.199508i
$580$	4.08935	+	0.0771690i	0.169801	+	0.00320427i
$581$	7.82224	+	13.5485i	0.324521	+	0.562088i
$582$	2.17418	−	0.582569i	0.0901226	−	0.0241483i
$583$	0.373253	−	0.646493i	0.0154585	−	0.0267750i
$584$	−16.1644			−0.668889
$585$	7.05432	+	3.90340i	0.291660	+	0.161386i
$586$	21.1865			0.875206
$587$	13.4152	−	23.2358i	0.553704	−	0.959044i	−0.444299	−	0.895879i	$-0.646547\pi$
$587$	13.4152	−	23.2358i	0.553704	−	0.959044i	0.998003	−	0.0631651i	$-0.0201195\pi$
$588$	0.460182	−	0.123305i	0.0189776	−	0.00508502i
$589$	−0.0997495	−	0.172771i	−0.00411011	−	0.00711892i
$590$	8.56685	−	8.24951i	0.352691	−	0.339627i
$591$	6.37880	−	23.8060i	0.262389	−	0.979249i
$592$	6.15259	−	3.55220i	0.252870	−	0.145995i
$593$	−35.9821			−1.47761			−0.738805	−	0.673919i	$-0.764609\pi$
$593$	−35.9821			−1.47761			−0.738805	+	0.673919i	$0.764609\pi$
$594$	0.804972	−	0.464751i	0.0330284	−	0.0190689i
$595$	10.6128	−	2.63013i	0.435084	−	0.107825i
$596$	0.311485	+	1.16248i	0.0127589	+	0.0476170i
$597$	−8.35230	−	8.35230i	−0.341837	−	0.341837i
$598$	6.87196	−	2.11722i	0.281016	−	0.0865796i
$599$		−	18.2895i		−	0.747289i	−0.927572	−	0.373645i	$-0.878108\pi$
$599$		−	18.2895i		−	0.747289i	0.927572	−	0.373645i	$-0.121892\pi$
$600$	4.87501	−	1.11096i	0.199022	−	0.0453548i
$601$	−3.52581	+	6.10689i	−0.143821	+	0.249105i	−0.928932	−	0.370249i	$-0.879272\pi$
$601$	−3.52581	+	6.10689i	−0.143821	+	0.249105i	0.785112	+	0.619354i	$0.212606\pi$
$602$	−0.948226	+	3.53883i	−0.0386468	+	0.144232i
$603$			13.8096i			0.562372i
$604$	−8.07762	−	2.16439i	−0.328674	−	0.0880679i
$605$	10.9601	+	19.8387i	0.445590	+	0.806556i
$606$	−8.46963	+	8.46963i	−0.344055	+	0.344055i
$607$	5.57537	+	1.49392i	0.226297	+	0.0606362i	0.370186	−	0.928958i	$-0.379294\pi$
$607$	5.57537	+	1.49392i	0.226297	+	0.0606362i	−0.143888	+	0.989594i	$0.545961\pi$
$608$	0.0861340	+	0.321456i	0.00349319	+	0.0130368i
$609$	4.51267	−	1.20917i	0.182863	−	0.0489979i
$610$	0.455208	−	24.1224i	0.0184308	−	0.976689i
$611$	14.6160	+	23.2785i	0.591302	+	0.941746i
$612$	−1.35373	+	1.35373i	−0.0547212	+	0.0547212i
$613$	−2.54042	−	1.46671i	−0.102606	−	0.0592398i	0.447819	−	0.894124i	$-0.352201\pi$
$613$	−2.54042	−	1.46671i	−0.102606	−	0.0592398i	−0.550425	+	0.834885i	$0.685534\pi$
$614$	24.4975	+	14.1437i	0.988640	+	0.570792i
$615$	−12.0322	−	21.7793i	−0.485185	−	0.878226i
$616$	−1.67872	−	1.67872i	−0.0676375	−	0.0676375i
$617$	14.0936	+	24.4109i	0.567388	+	0.982745i	0.996823	+	0.0796474i	$0.0253794\pi$
$617$	14.0936	+	24.4109i	0.567388	+	0.982745i	−0.429435	+	0.903098i	$0.641287\pi$
$618$	7.33967	+	12.7127i	0.295245	+	0.511379i
$619$	−10.6789	−	10.6789i	−0.429223	−	0.429223i	0.459141	−	0.888364i	$-0.348157\pi$
$619$	−10.6789	−	10.6789i	−0.429223	−	0.429223i	−0.888364	+	0.459141i	$0.848157\pi$
$620$	−1.28799	−	0.371299i	−0.0517269	−	0.0149117i
$621$	1.72716	+	0.997174i	0.0693084	+	0.0400152i
$622$	−4.90777	−	2.83350i	−0.196783	−	0.113613i
$623$	12.9113	−	12.9113i	0.517282	−	0.517282i
$624$	1.06161	+	3.44572i	0.0424984	+	0.137939i
$625$	24.9288	+	1.88506i	0.997153	+	0.0754023i
$626$	−16.6717	+	4.46717i	−0.666335	+	0.178544i
$627$	0.0800616	+	0.298794i	0.00319735	+	0.0119327i
$628$	0.313631	+	0.0840373i	0.0125153	+	0.00335345i
$629$	−9.61742	+	9.61742i	−0.383472	+	0.383472i
$630$	4.99905	−	2.76178i	0.199167	−	0.110032i
$631$	40.7498	+	10.9189i	1.62222	+	0.434673i	0.951653	−	0.307174i	$-0.0993834\pi$
$631$	40.7498	+	10.9189i	1.62222	+	0.434673i	0.670569	+	0.741847i	$0.266050\pi$
$632$			10.6347i			0.423027i
$633$	3.10505	−	11.5882i	0.123415	−	0.460590i
$634$	10.2260	−	17.7120i	0.406128	−	0.703434i
$635$	−6.29743	−	25.4107i	−0.249906	−	1.00839i
$636$			0.803125i			0.0318460i
$637$	0.0636581	+	1.71656i	0.00252223	+	0.0680125i
$638$	1.20221	+	1.20221i	0.0475961	+	0.0475961i
$639$	3.55539	+	13.2689i	0.140649	+	0.524909i
$640$	1.91505	+	1.15437i	0.0756991	+	0.0456305i
$641$	−8.80424	+	5.08313i	−0.347747	+	0.200772i	−0.663692	−	0.748006i	$-0.731012\pi$
$641$	−8.80424	+	5.08313i	−0.347747	+	0.200772i	0.315946	+	0.948777i	$0.397678\pi$
$642$	−9.54591			−0.376747
$643$	−15.3804	+	8.87986i	−0.606542	+	0.350187i	−0.771611	−	0.636095i	$-0.780549\pi$
$643$	−15.3804	+	8.87986i	−0.606542	+	0.350187i	0.165069	+	0.986282i	$0.447215\pi$
$644$	1.31838	−	4.92026i	0.0519514	−	0.193885i
$645$	0.0605158	−	3.20686i	0.00238281	−	0.126270i
$646$	−0.318562	−	0.551766i	−0.0125337	−	0.0217090i
$647$	−24.0769	+	6.45138i	−0.946560	+	0.253630i	−0.698902	−	0.715217i	$-0.746328\pi$
$647$	−24.0769	+	6.45138i	−0.946560	+	0.253630i	−0.247658	+	0.968847i	$0.579661\pi$
$648$	−0.500000	+	0.866025i	−0.0196419	+	0.0340207i
$649$	4.94378			0.194060
$650$	−0.0120649	+	18.0278i	−0.000473225	+	0.707107i
$651$	−1.53111			−0.0600089
$652$	6.56113	−	11.3642i	0.256954	−	0.445057i
$653$	−31.9773	+	8.56830i	−1.25137	+	0.335303i	−0.822865	−	0.568237i	$-0.807626\pi$
$653$	−31.9773	+	8.56830i	−1.25137	+	0.335303i	−0.428504	+	0.903540i	$0.640959\pi$
$654$	−3.23077	−	5.59586i	−0.126333	−	0.218815i
$655$	0.749644	−	39.7252i	0.0292910	−	1.55219i
$656$	2.88002	−	10.7484i	0.112446	−	0.419654i
$657$	13.9988	−	8.08222i	0.546146	−	0.315317i
$658$	19.4712			0.759067
$659$	8.13924	−	4.69919i	0.317060	−	0.183054i	−0.333022	−	0.942919i	$-0.608068\pi$
$659$	8.13924	−	4.69919i	0.317060	−	0.183054i	0.650081	+	0.759865i	$0.274735\pi$
$660$	1.78004	+	1.07299i	0.0692881	+	0.0417661i
$661$	2.95629	+	11.0330i	0.114986	+	0.429135i	0.999286	−	0.0377851i	$-0.0120302\pi$
$661$	2.95629	+	11.0330i	0.114986	+	0.429135i	−0.884300	+	0.466920i	$0.845364\pi$
$662$	23.3829	+	23.3829i	0.908801	+	0.908801i
$663$	−3.67051	−	5.84589i	−0.142551	−	0.227036i
$664$		−	6.12517i		−	0.237703i
$665$	0.457203	+	1.84486i	0.0177296	+	0.0715406i
$666$	−3.55220	+	6.15259i	−0.137645	+	0.238408i
$667$	−0.944156	+	3.52364i	−0.0365579	+	0.136436i
$668$			0.449063i			0.0173748i
$669$	−7.55623	−	2.02469i	−0.292141	−	0.0782789i
$670$	−27.0288	+	14.9323i	−1.04421	+	0.576886i
$671$	7.09167	−	7.09167i	0.273771	−	0.273771i
$672$	2.46710	+	0.661058i	0.0951705	+	0.0255009i
$673$	−1.38511	−	5.16931i	−0.0533922	−	0.199262i	0.934078	−	0.357070i	$-0.116224\pi$
$673$	−1.38511	−	5.16931i	−0.0533922	−	0.199262i	−0.987470	+	0.157807i	$0.949557\pi$
$674$	33.5557	−	8.99121i	1.29252	−	0.346328i
$675$	−3.66641	+	3.39963i	−0.141120	+	0.130852i
$676$	−12.9643	+	0.962879i	−0.498627	+	0.0370338i
$677$	1.55730	−	1.55730i	0.0598517	−	0.0598517i	−0.676547	−	0.736399i	$-0.736525\pi$
$677$	1.55730	−	1.55730i	0.0598517	−	0.0598517i	0.736399	+	0.676547i	$0.236525\pi$
$678$	12.8871	+	7.44037i	0.494926	+	0.285746i
$679$	4.97880	+	2.87451i	0.191069	+	0.110314i
$680$	−4.11336	−	1.18579i	−0.157740	−	0.0454729i
$681$	−2.86372	−	2.86372i	−0.109738	−	0.109738i
$682$	−0.278601	−	0.482551i	−0.0106682	−	0.0184778i
$683$	−19.8847	−	34.4413i	−0.760867	−	1.31786i	−0.942404	−	0.334476i	$-0.891441\pi$
$683$	−19.8847	−	34.4413i	−0.760867	−	1.31786i	0.181537	−	0.983384i	$-0.441893\pi$
$684$	−0.235322	−	0.235322i	−0.00899778	−	0.00899778i
$685$	13.0088	+	23.5471i	0.497041	+	0.899687i
$686$	16.5374	+	9.54787i	0.631401	+	0.364539i
$687$	−11.5971	−	6.69561i	−0.442458	−	0.255453i
$688$	1.01428	−	1.01428i	0.0386690	−	0.0386690i
$689$	−2.82289	−	0.645293i	−0.107544	−	0.0245837i
$690$	−0.0841390	+	4.45870i	−0.00320312	+	0.169740i
$691$	26.0006	−	6.96685i	0.989110	−	0.265031i	0.272234	−	0.962231i	$-0.412238\pi$
$691$	26.0006	−	6.96685i	0.989110	−	0.265031i	0.716877	+	0.697200i	$0.245571\pi$
$692$	−0.249162	−	0.929886i	−0.00947173	−	0.0353490i
$693$	2.29317	+	0.614454i	0.0871105	+	0.0233412i
$694$	3.22756	−	3.22756i	0.122517	−	0.122517i
$695$	2.65173	+	4.79986i	0.100586	+	0.182069i
$696$	−1.76681	−	0.473416i	−0.0669708	−	0.0179448i
$697$			21.3033i			0.806918i
$698$	−4.68796	+	17.4957i	−0.177442	+	0.662222i
$699$	4.60022	−	7.96782i	0.173996	−	0.301371i
$700$	10.8109	+	6.79804i	0.408615	+	0.256942i
$701$		−	15.5746i		−	0.588246i	−0.955768	−	0.294123i	$-0.904973\pi$
$701$		−	15.5746i		−	0.588246i	0.955768	−	0.294123i	$-0.0950275\pi$
$702$	−2.64224	−	2.45328i	−0.0997250	−	0.0925929i
$703$	−1.67182	−	1.67182i	−0.0630541	−	0.0630541i
$704$	0.240573	+	0.897829i	0.00906692	+	0.0338382i
$705$	−16.5460	+	4.10051i	−0.623157	+	0.154434i
$706$	−27.9524	+	16.1383i	−1.05200	+	0.607375i
$707$	−30.5930			−1.15057
$708$	−4.60617	+	2.65937i	−0.173110	+	0.0999453i
$709$	7.73226	−	28.8572i	0.290391	−	1.08375i	−0.654418	−	0.756133i	$-0.727086\pi$
$709$	7.73226	−	28.8572i	0.290391	−	1.08375i	0.944809	−	0.327621i	$-0.106247\pi$
$710$	−22.1260	+	21.3064i	−0.830373	+	0.799614i
$711$	−5.31737	−	9.20995i	−0.199417	−	0.345400i
$712$	−6.90537	+	1.85029i	−0.258790	+	0.0693425i
$713$	0.597769	−	1.03537i	0.0223866	−	0.0387748i
$714$	−4.88978			−0.182995
$715$	−5.20166	+	5.39453i	−0.194531	+	0.201744i
$716$	−13.5800			−0.507507
$717$	3.65713	−	6.33434i	0.136578	−	0.236560i
$718$	−17.5847	+	4.71180i	−0.656254	+	0.175843i
$719$	15.1348	+	26.2143i	0.564434	+	0.977629i	0.997102	+	0.0760753i	$0.0242389\pi$
$719$	15.1348	+	26.2143i	0.564434	+	0.977629i	−0.432668	+	0.901553i	$0.642428\pi$
$720$	−2.23567	−	0.0421887i	−0.0833185	−	0.00157228i
$721$	−9.70389	+	36.2154i	−0.361392	+	1.34873i
$722$	−16.3586	+	9.44462i	−0.608803	+	0.351492i
$723$	24.1795			0.899247
$724$	−2.18861	+	1.26359i	−0.0813390	+	0.0469611i
$725$	−7.74224	−	4.86841i	−0.287539	−	0.180808i
$726$	−2.62340	−	9.79065i	−0.0973634	−	0.363365i
$727$	9.48865	+	9.48865i	0.351914	+	0.351914i	0.860821	−	0.508907i	$-0.169950\pi$
$727$	9.48865	+	9.48865i	0.351914	+	0.351914i	−0.508907	+	0.860821i	$0.669950\pi$
$728$	−4.30580	+	8.14043i	−0.159584	+	0.301705i
$729$		−	1.00000i		−	0.0370370i
$730$	30.9557	+	18.6598i	1.14572	+	0.690629i
$731$	−1.37306	+	2.37820i	−0.0507844	+	0.0879611i
$732$	−2.79261	+	10.4221i	−0.103218	+	0.385214i
$733$			0.901657i			0.0333035i	0.999861	+	0.0166517i	$0.00530066\pi$
$733$			0.901657i			0.0333035i	−0.999861	+	0.0166517i	$0.994699\pi$
$734$	1.72948	+	0.463412i	0.0638361	+	0.0171048i
$735$	−1.02361	−	0.295084i	−0.0377565	−	0.0108844i
$736$	−1.41022	+	1.41022i	−0.0519813	+	0.0519813i
$737$	−12.3987	−	3.32222i	−0.456712	−	0.122376i
$738$	2.88002	+	10.7484i	0.106015	+	0.395654i
$739$	−13.1665	+	3.52796i	−0.484338	+	0.129778i	−0.492722	−	0.870187i	$-0.663998\pi$
$739$	−13.1665	+	3.52796i	−0.484338	+	0.129778i	0.00838356	+	0.999965i	$0.497331\pi$
$740$	−15.8831	−	0.299726i	−0.583874	−	0.0110181i
$741$	1.01621	−	0.638055i	0.0373313	−	0.0234395i
$742$	−1.45048	+	1.45048i	−0.0532487	+	0.0532487i
$743$	13.8196	+	7.97875i	0.506992	+	0.292712i	0.731596	−	0.681738i	$-0.238776\pi$
$743$	13.8196	+	7.97875i	0.506992	+	0.292712i	−0.224604	+	0.974450i	$0.572109\pi$
$744$	0.519150	+	0.299732i	0.0190330	+	0.0109887i
$745$	0.745421	−	2.58578i	0.0273101	−	0.0947355i
$746$	−16.0822	−	16.0822i	−0.588812	−	0.588812i
$747$	3.06259	+	5.30455i	0.112054	+	0.194083i
$748$	−0.889746	−	1.54109i	−0.0325324	−	0.0563477i
$749$	−17.2403	−	17.2403i	−0.629948	−	0.629948i
$750$	−10.6184	−	3.50003i	−0.387728	−	0.127803i
$751$	9.96702	+	5.75446i	0.363702	+	0.209983i	0.670703	−	0.741726i	$-0.265992\pi$
$751$	9.96702	+	5.75446i	0.363702	+	0.209983i	−0.307002	+	0.951709i	$0.599326\pi$
$752$	−6.60208	−	3.81171i	−0.240753	−	0.138999i
$753$	12.0825	−	12.0825i	0.440311	−	0.440311i
$754$	3.08360	−	5.82976i	0.112298	−	0.212307i
$755$	12.9706	+	13.4695i	0.472047	+	0.490205i
$756$	−2.46710	+	0.661058i	−0.0897276	+	0.0240424i
$757$	−8.87853	−	33.1351i	−0.322696	−	1.20432i	−0.916608	−	0.399787i	$-0.869084\pi$
$757$	−8.87853	−	33.1351i	−0.322696	−	1.20432i	0.593912	−	0.804530i	$-0.297583\pi$
$758$	31.2281	+	8.36754i	1.13426	+	0.303923i
$759$	−1.31080	+	1.31080i	−0.0475790	+	0.0475790i
$760$	0.206129	−	0.715036i	0.00747708	−	0.0259371i
$761$	−2.75261	−	0.737561i	−0.0997822	−	0.0267366i	0.208582	−	0.978005i	$-0.433115\pi$
$761$	−2.75261	−	0.737561i	−0.0997822	−	0.0267366i	−0.308365	+	0.951268i	$0.599782\pi$
$762$			11.7078i			0.424129i
$763$	4.27145	−	15.9413i	0.154637	−	0.577113i
$764$	1.37683	−	2.38473i	0.0498118	−	0.0862766i
$765$	4.15516	−	1.02976i	0.150230	−	0.0372309i
$766$		−	35.5240i		−	1.28353i
$767$	−5.64643	−	18.3269i	−0.203881	−	0.661746i
$768$	−0.707107	−	0.707107i	−0.0255155	−	0.0255155i
$769$	9.18781	+	34.2894i	0.331321	+	1.23651i	0.907803	+	0.419397i	$0.137758\pi$
$769$	9.18781	+	34.2894i	0.331321	+	1.23651i	−0.576482	+	0.817110i	$0.695575\pi$
$770$	1.27697	+	5.15270i	0.0460188	+	0.185690i
$771$	−13.2367	+	7.64220i	−0.476707	+	0.275227i
$772$	−4.97000			−0.178874
$773$	8.91324	−	5.14606i	0.320587	−	0.185091i	−0.331067	−	0.943607i	$-0.607409\pi$
$773$	8.91324	−	5.14606i	0.320587	−	0.185091i	0.651654	+	0.758516i	$0.274075\pi$
$774$	−0.371252	+	1.38553i	−0.0133444	+	0.0498019i
$775$	2.03795	+	2.19788i	0.0732054	+	0.0789500i
$776$	−1.12544	−	1.94931i	−0.0404008	−	0.0699763i
$777$	−17.5273	+	4.69642i	−0.628788	+	0.168483i
$778$	−16.0765	+	27.8452i	−0.576369	+	0.998300i
$779$	−3.70321			−0.132681
$780$	1.94460	−	7.82423i	0.0696279	−	0.280152i
$781$	−12.7685			−0.456894
$782$	1.90905	−	3.30657i	0.0682675	−	0.118243i
$783$	1.76681	−	0.473416i	0.0631407	−	0.0169185i
$784$	−0.238207	−	0.412587i	−0.00850741	−	0.0147353i
$785$	−0.503611	−	0.522983i	−0.0179746	−	0.0186661i
$786$	−4.59891	+	17.1634i	−0.164038	+	0.612197i
$787$	−43.7455	+	25.2565i	−1.55936	+	0.900296i	−0.562040	+	0.827110i	$0.689983\pi$
$787$	−43.7455	+	25.2565i	−1.55936	+	0.900296i	−0.997318	+	0.0731860i	$0.976683\pi$
$788$	−24.6458			−0.877970
$789$	16.6028	−	9.58564i	0.591076	−	0.341258i
$790$	12.2764	−	20.3661i	0.436776	−	0.724593i
$791$	9.83703	+	36.7123i	0.349765	+	1.30534i
$792$	−0.657257	−	0.657257i	−0.0233546	−	0.0233546i
$793$	−34.3889	−	18.1897i	−1.22118	−	0.645934i
$794$		−	6.25686i		−	0.222048i
$795$	0.927104	−	1.53803i	0.0328810	−	0.0545482i
$796$	−5.90597	+	10.2294i	−0.209331	+	0.362573i
$797$	−0.326018	+	1.21672i	−0.0115482	+	0.0430983i	−0.971460	−	0.237205i	$-0.923769\pi$
$797$	−0.326018	+	1.21672i	−0.0115482	+	0.0430983i	0.959911	+	0.280304i	$0.0904352\pi$
$798$		−	0.850005i		−	0.0300898i
$799$	14.0974	+	3.77740i	0.498731	+	0.133635i
$800$	−2.33485	−	4.42136i	−0.0825495	−	0.156319i
$801$	5.05508	−	5.05508i	0.178613	−	0.178613i
$802$	2.70017	+	0.723508i	0.0953463	+	0.0255480i
$803$	3.88872	+	14.5129i	0.137230	+	0.512149i
$804$	13.3391	−	3.57420i	0.470433	−	0.126052i
$805$	−8.20457	+	7.90065i	−0.289173	+	0.278461i
$806$	−1.47065	+	1.58393i	−0.0518014	+	0.0557914i
$807$	−19.4265	+	19.4265i	−0.683846	+	0.683846i
$808$	10.3731	+	5.98893i	0.364926	+	0.210690i
$809$	−26.5411	−	15.3235i	−0.933137	−	0.538747i	−0.0453345	−	0.998972i	$-0.514435\pi$
$809$	−26.5411	−	15.3235i	−0.933137	−	0.538747i	−0.887802	+	0.460225i	$0.847769\pi$
$810$	1.95724	−	1.08130i	0.0687705	−	0.0379930i
$811$	−37.8748	−	37.8748i	−1.32996	−	1.32996i	−0.905396	−	0.424567i	$-0.860426\pi$
$811$	−37.8748	−	37.8748i	−1.32996	−	1.32996i	−0.424567	−	0.905396i	$-0.639574\pi$
$812$	−2.33593	−	4.04595i	−0.0819750	−	0.141985i
$813$	7.45289	+	12.9088i	0.261384	+	0.452731i
$814$	−4.66941	−	4.66941i	−0.163663	−	0.163663i
$815$	−25.6834	+	14.1891i	−0.899651	+	0.497022i
$816$	1.65797	+	0.957230i	0.0580406	+	0.0335098i
$817$	−0.413410	−	0.238683i	−0.0144634	−	0.00835044i
$818$	21.5063	−	21.5063i	0.751951	−	0.751951i
$819$	−0.341281	−	9.20272i	−0.0119253	−	0.321569i
$820$	−17.9230	+	17.2591i	−0.625899	+	0.602715i
$821$	−51.9826	+	13.9287i	−1.81421	+	0.486115i	−0.996043	−	0.0888709i	$-0.971674\pi$
$821$	−51.9826	+	13.9287i	−1.81421	+	0.486115i	−0.818163	+	0.574986i	$0.805007\pi$
$822$	−3.11378	−	11.6208i	−0.108606	−	0.405322i
$823$	−18.5489	−	4.97015i	−0.646573	−	0.173249i	−0.0793940	−	0.996843i	$-0.525299\pi$
$823$	−18.5489	−	4.97015i	−0.646573	−	0.173249i	−0.567179	+	0.823595i	$0.691965\pi$
$824$	10.3799	−	10.3799i	0.361600	−	0.361600i
$825$	−2.17025	−	4.10966i	−0.0755584	−	0.143080i
$826$	−13.1219	−	3.51600i	−0.456569	−	0.122337i
$827$			21.7434i			0.756091i	0.925787	+	0.378046i	$0.123404\pi$
$827$			21.7434i			0.756091i	−0.925787	+	0.378046i	$0.876596\pi$
$828$	0.516175	−	1.92639i	0.0179383	−	0.0669468i
$829$	−16.5409	+	28.6497i	−0.574489	+	0.995044i	0.421608	+	0.906778i	$0.361466\pi$
$829$	−16.5409	+	28.6497i	−0.574489	+	0.995044i	−0.996097	+	0.0882655i	$0.971868\pi$
$830$	−7.07072	+	11.7300i	−0.245428	+	0.407155i
$831$		−	15.5258i		−	0.538583i
$832$	3.05354	−	1.91725i	0.105863	−	0.0664688i
$833$	0.644936	+	0.644936i	0.0223457	+	0.0223457i
$834$	−0.634717	−	2.36880i	−0.0219784	−	0.0820247i
$835$	0.518386	−	0.859980i	0.0179395	−	0.0297608i
$836$	0.267891	−	0.154667i	0.00926522	−	0.00534928i
$837$	−0.599463			−0.0207205
$838$	15.8112	−	9.12861i	0.546190	−	0.315343i
$839$	6.21717	−	23.2028i	0.214641	−	0.801050i	−0.771652	−	0.636045i	$-0.780569\pi$
$839$	6.21717	−	23.2028i	0.214641	−	0.801050i	0.986293	−	0.165005i	$-0.0527640\pi$
$840$	−3.96152	−	4.11391i	−0.136685	−	0.141943i
$841$	−12.8271	−	22.2172i	−0.442315	−	0.766112i
$842$	9.24331	−	2.47674i	0.318545	−	0.0853540i
$843$	−0.400131	+	0.693048i	−0.0137813	+	0.0238698i
$844$	−11.9970			−0.412954
$845$	25.9388	+	13.1216i	0.892323	+	0.451398i
$846$	7.62342			0.262099
$847$	12.9444	−	22.4203i	0.444774	−	0.770371i
$848$	0.775759	−	0.207864i	0.0266397	−	0.00713808i
$849$	15.1703	+	26.2757i	0.520644	+	0.901781i
$850$	6.50845	+	7.01919i	0.223238	+	0.240756i
$851$	3.66712	−	13.6859i	0.125707	−	0.469145i
$852$	11.8966	−	6.86848i	0.407569	−	0.235310i
$853$	−35.1106			−1.20216			−0.601082	−	0.799187i	$-0.705264\pi$
$853$	−35.1106			−1.20216			−0.601082	+	0.799187i	$0.705264\pi$
$854$	−23.8664	+	13.7793i	−0.816692	+	0.471517i
$855$	0.179005	+	0.722304i	0.00612185	+	0.0247023i
$856$	2.47066	+	9.22064i	0.0844456	+	0.315155i
$857$	−3.67865	−	3.67865i	−0.125660	−	0.125660i	0.641480	−	0.767140i	$-0.278321\pi$
$857$	−3.67865	−	3.67865i	−0.125660	−	0.125660i	−0.767140	+	0.641480i	$0.778321\pi$
$858$	2.83827	−	1.78209i	0.0968970	−	0.0608396i
$859$		−	13.1482i		−	0.448612i	−0.974519	−	0.224306i	$-0.927988\pi$
$859$		−	13.1482i		−	0.448612i	0.974519	−	0.224306i	$-0.0720115\pi$
$860$	−3.11325	+	0.771543i	−0.106161	+	0.0263094i
$861$	−14.2106	+	24.6135i	−0.484296	+	0.838826i
$862$	−7.73016	+	28.8494i	−0.263290	+	0.982613i
$863$		−	29.2103i		−	0.994329i	−0.867656	−	0.497164i	$-0.834375\pi$
$863$		−	29.2103i		−	0.994329i	0.867656	−	0.497164i	$-0.165625\pi$
$864$	0.965926	+	0.258819i	0.0328615	+	0.00880520i
$865$	−0.596275	+	2.06841i	−0.0202740	+	0.0703279i
$866$	9.74214	−	9.74214i	0.331051	−	0.331051i
$867$	12.8805	+	3.45131i	0.437444	+	0.117213i
$868$	0.396280	+	1.47894i	0.0134506	+	0.0501984i
$869$	9.54818	−	2.55843i	0.323900	−	0.0867887i
$870$	2.83704	+	2.94617i	0.0961847	+	0.0998846i
$871$	1.84523	+	49.7571i	0.0625232	+	1.68596i
$872$	−4.56900	+	4.56900i	−0.154726	+	0.154726i
$873$	1.94931	+	1.12544i	0.0659743	+	0.0380903i
$874$	0.574791	+	0.331856i	0.0194426	+	0.0112252i
$875$	−12.8560	−	25.4984i	−0.434613	−	0.862005i
$876$	−11.4300	−	11.4300i	−0.386183	−	0.386183i
$877$	−26.0957	−	45.1990i	−0.881188	−	1.52626i	−0.850021	−	0.526748i	$-0.823411\pi$
$877$	−26.0957	−	45.1990i	−0.881188	−	1.52626i	−0.0311668	−	0.999514i	$-0.509922\pi$
$878$	−2.23458	−	3.87040i	−0.0754134	−	0.130620i
$879$	14.9811	+	14.9811i	0.505301	+	0.505301i
$880$	0.575719	−	1.99710i	0.0194075	−	0.0673222i
$881$	−0.425741	−	0.245802i	−0.0143436	−	0.00828126i	0.492811	−	0.870136i	$-0.335969\pi$
$881$	−0.425741	−	0.245802i	−0.0143436	−	0.00828126i	−0.507155	+	0.861855i	$0.669303\pi$
$882$	0.412587	+	0.238207i	0.0138925	+	0.00802086i
$883$	−10.6011	+	10.6011i	−0.356756	+	0.356756i	−0.862616	−	0.505860i	$-0.831175\pi$
$883$	−10.6011	+	10.6011i	−0.356756	+	0.356756i	0.505860	+	0.862616i	$0.331175\pi$
$884$	−4.69670	+	5.05847i	−0.157967	+	0.170135i
$885$	11.8910	+	0.224391i	0.399710	+	0.00754282i
$886$	−31.5730	+	8.45997i	−1.06072	+	0.284218i
$887$	9.69153	+	36.1693i	0.325410	+	1.21445i	0.913899	+	0.405941i	$0.133056\pi$
$887$	9.69153	+	36.1693i	0.325410	+	1.21445i	−0.588490	+	0.808505i	$0.700277\pi$
$888$	6.86232	+	1.83875i	0.230285	+	0.0617046i
$889$	−21.1448	+	21.1448i	−0.709174	+	0.709174i
$890$	15.3601	+	4.42797i	0.514871	+	0.148426i
$891$	0.897829	+	0.240573i	0.0300784	+	0.00805949i
$892$			7.82279i			0.261926i
$893$	−0.656636	+	2.45060i	−0.0219735	+	0.0820061i
$894$	−0.601743	+	1.04225i	−0.0201253	+	0.0348580i
$895$	26.0064	+	15.6763i	0.869297	+	0.524002i
$896$		−	2.55413i		−	0.0853275i
$897$	6.35631	+	3.36211i	0.212231	+	0.112258i
$898$	5.41322	+	5.41322i	0.180642	+	0.180642i
$899$	−0.283795	−	1.05914i	−0.00946511	−	0.0353243i
$900$	4.23272	+	2.66159i	0.141091	+	0.0887196i
$901$	−1.33156	+	0.768775i	−0.0443606	+	0.0256116i
$902$	−10.3431			−0.344387
$903$	−3.17282	+	1.83183i	−0.105585	+	0.0609595i
$904$	3.85142	−	14.3737i	0.128096	−	0.478062i
$905$	5.64996	+	0.106619i	0.187811	+	0.00354413i
$906$	−4.18128	−	7.24220i	−0.138914	−	0.240606i
$907$	−32.9822	+	8.83757i	−1.09516	+	0.293447i	−0.760791	−	0.648997i	$-0.775189\pi$
$907$	−32.9822	+	8.83757i	−1.09516	+	0.293447i	−0.334366	+	0.942443i	$0.608522\pi$
$908$	−2.02496	+	3.50733i	−0.0672006	+	0.116395i
$909$	−11.9779			−0.397281
$910$	17.6429	−	10.6189i	0.584857	−	0.352012i
$911$	28.2249			0.935132			0.467566	−	0.883958i	$-0.345131\pi$
$911$	28.2249			0.935132			0.467566	+	0.883958i	$0.345131\pi$
$912$	−0.166398	+	0.288210i	−0.00550999	+	0.00954358i
$913$	−5.49936	+	1.47355i	−0.182002	+	0.0487673i
$914$	−9.35023	−	16.1951i	−0.309278	−	0.535685i
$915$	17.3790	−	16.7353i	0.574533	−	0.553250i
$916$	−3.46590	+	12.9349i	−0.114517	+	0.427382i
$917$	−39.3036	+	22.6919i	−1.29792	+	0.749354i
$918$	−1.91446			−0.0631866
$919$	16.3951	−	9.46570i	0.540824	−	0.312245i	−0.204589	−	0.978848i	$-0.565586\pi$
$919$	16.3951	−	9.46570i	0.540824	−	0.312245i	0.745413	+	0.666603i	$0.232252\pi$
$920$	4.32855	−	1.07273i	0.142708	−	0.0353667i
$921$	7.32130	+	27.3235i	0.241245	+	0.900339i
$922$	0.895936	+	0.895936i	0.0295061	+	0.0295061i
$923$	14.5833	+	47.3337i	0.480015	+	1.55801i
$924$		−	2.37407i		−	0.0781011i
$925$	30.0710	+	18.9090i	0.988727	+	0.621724i
$926$	8.87674	−	15.3750i	0.291708	−	0.505253i
$927$	−3.79929	+	14.1792i	−0.124785	+	0.465704i
$928$			1.82914i			0.0600444i
$929$	45.8640	+	12.2892i	1.50475	+	0.403196i	0.914687	−	0.404163i	$-0.132437\pi$
$929$	45.8640	+	12.2892i	1.50475	+	0.403196i	0.590061	+	0.807359i	$0.299104\pi$
$930$	−0.648199	−	1.17329i	−0.0212553	−	0.0384738i
$931$	−0.112111	+	0.112111i	−0.00367429	+	0.00367429i
$932$	−8.88695	−	2.38125i	−0.291102	−	0.0780005i
$933$	−1.46673	−	5.47390i	−0.0480185	−	0.179207i
$934$	17.7810	−	4.76441i	0.581813	−	0.155896i
$935$	−0.0750746	+	3.97836i	−0.00245520	+	0.130106i
$936$	−1.68582	+	3.18716i	−0.0551027	+	0.104176i
$937$	−2.79074	+	2.79074i	−0.0911695	+	0.0911695i	−0.751221	−	0.660051i	$-0.770535\pi$
$937$	−2.79074	+	2.79074i	−0.0911695	+	0.0911695i	0.660051	+	0.751221i	$0.270535\pi$
$938$	30.5461	+	17.6358i	0.997366	+	0.575829i
$939$	−14.9474	−	8.62990i	−0.487791	−	0.281626i
$940$	8.24320	+	14.9209i	0.268863	+	0.486665i
$941$	−12.2478	−	12.2478i	−0.399268	−	0.399268i	0.478707	−	0.877975i	$-0.341106\pi$
$941$	−12.2478	−	12.2478i	−0.399268	−	0.399268i	−0.877975	+	0.478707i	$0.841106\pi$
$942$	0.162348	+	0.281194i	0.00528957	+	0.00916181i
$943$	−11.0961	−	19.2190i	−0.361339	−	0.625857i
$944$	3.76092	+	3.76092i	0.122408	+	0.122408i
$945$	5.48773	+	1.58199i	0.178516	+	0.0514622i
$946$	−1.15466	−	0.666641i	−0.0375411	−	0.0216744i
$947$	−9.29866	−	5.36859i	−0.302166	−	0.174456i	0.341250	−	0.939973i	$-0.389150\pi$
$947$	−9.29866	−	5.36859i	−0.302166	−	0.174456i	−0.643416	+	0.765517i	$0.722483\pi$
$948$	−7.51990	+	7.51990i	−0.244235	+	0.244235i
$949$	49.3588	−	30.9913i	1.60226	−	1.00602i
$950$	−1.22017	+	1.13138i	−0.0395874	+	0.0367069i
$951$	19.7552	−	5.29339i	0.640606	−	0.171650i
$952$	1.26557	+	4.72317i	0.0410173	+	0.153079i
$953$	27.2231	+	7.29441i	0.881843	+	0.236289i	0.671202	−	0.741274i	$-0.265778\pi$
$953$	27.2231	+	7.29441i	0.881843	+	0.236289i	0.210641	+	0.977564i	$0.432445\pi$
$954$	−0.567895	+	0.567895i	−0.0183863	+	0.0183863i
$955$	−5.38956	+	2.97752i	−0.174402	+	0.0963503i
$956$	−7.06504	−	1.89307i	−0.228500	−	0.0612263i
$957$			1.70019i			0.0549592i
$958$	−11.1966	+	41.7863i	−0.361746	+	1.35006i
$959$	15.3640	−	26.6113i	0.496131	−	0.859324i
$960$	0.537883	+	2.17041i	0.0173601	+	0.0700497i
$961$		−	30.6406i		−	0.988408i
$962$	−11.9767	+	22.6429i	−0.386146	+	0.730036i
$963$	−6.74998	−	6.74998i	−0.217515	−	0.217515i
$964$	−6.25813	−	23.3556i	−0.201561	−	0.752235i
$965$	9.51782	+	5.73723i	0.306389	+	0.184688i
$966$	4.41138	−	2.54691i	0.141934	−	0.0819456i
$967$	−39.5038			−1.27036			−0.635178	−	0.772366i	$-0.719073\pi$
$967$	−39.5038			−1.27036			−0.635178	+	0.772366i	$0.719073\pi$
$968$	−8.77806	+	5.06801i	−0.282137	+	0.162892i
$969$	0.164900	−	0.615415i	0.00529735	−	0.0197700i
$970$	−0.0949615	+	5.03221i	−0.00304903	+	0.161575i
$971$	−8.43794	−	14.6149i	−0.270786	−	0.469016i	0.698277	−	0.715828i	$-0.253950\pi$
$971$	−8.43794	−	14.6149i	−0.270786	−	0.469016i	−0.969063	+	0.246812i	$0.920617\pi$
$972$	−0.965926	+	0.258819i	−0.0309821	+	0.00830162i
$973$	3.13182	−	5.42447i	0.100402	−	0.173901i
$974$	31.2670			1.00186
$975$	−12.7561	+	12.7390i	−0.408521	+	0.407975i
$976$	10.7898			0.345373
$977$	29.4375	−	50.9873i	0.941790	−	1.63123i	0.179737	−	0.983715i	$-0.442475\pi$
$977$	29.4375	−	50.9873i	0.941790	−	1.63123i	0.762053	−	0.647514i	$-0.224191\pi$
$978$	12.6751	−	3.39629i	0.405306	−	0.108601i
$979$	3.32249	+	5.75472i	0.106187	+	0.183922i
$980$	−0.0200993	+	1.06511i	−0.000642050	+	0.0340236i
$981$	1.67237	−	6.24137i	0.0533946	−	0.199272i
$982$	12.4315	−	7.17735i	0.396706	−	0.229039i
$983$	22.9432			0.731776			0.365888	−	0.930659i	$-0.380765\pi$
$983$	22.9432			0.731776			0.365888	+	0.930659i	$0.380765\pi$
$984$	9.63674	−	5.56378i	0.307208	−	0.177367i
$985$	47.1980	+	28.4504i	1.50385	+	0.906505i
$986$	−0.906336	−	3.38249i	−0.0288636	−	0.107720i
$987$	13.7682	+	13.7682i	0.438248	+	0.438248i
$988$	−0.879328	−	0.816441i	−0.0279751	−	0.0259744i
$989$		−	2.86071i		−	0.0909652i
$990$	0.499963	+	2.01740i	0.0158899	+	0.0641172i
$991$	−6.16442	+	10.6771i	−0.195819	+	0.339169i	−0.947169	−	0.320736i	$-0.896070\pi$
$991$	−6.16442	+	10.6771i	−0.195819	+	0.339169i	0.751349	+	0.659904i	$0.229403\pi$
$992$	0.155153	−	0.579037i	0.00492610	−	0.0183844i
$993$			33.0684i			1.04939i
$994$	33.8905	+	9.08092i	1.07494	+	0.288029i
$995$	23.1188	−	12.7722i	0.732915	−	0.404907i
$996$	4.33115	−	4.33115i	0.137238	−	0.137238i
$997$	−7.25134	−	1.94299i	−0.229652	−	0.0615352i	0.142158	−	0.989844i	$-0.454596\pi$
$997$	−7.25134	−	1.94299i	−0.229652	−	0.0615352i	−0.371810	+	0.928309i	$0.621263\pi$
$998$	3.05904	+	11.4165i	0.0968321	+	0.361382i
$999$	−6.86232	+	1.83875i	−0.217114	+	0.0581756i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bn.b.163.3	yes	16
5.2	odd	4		390.2.bd.b.7.2	✓	16
13.2	odd	12		390.2.bd.b.223.2	yes	16
65.2	even	12	inner	390.2.bn.b.67.3	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.b.7.2	✓	16	5.2	odd	4
390.2.bd.b.223.2	yes	16	13.2	odd	12
390.2.bn.b.67.3	yes	16	65.2	even	12	inner
390.2.bn.b.163.3	yes	16	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	390.bn (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(0.965926 - 0.258819i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.0421887 + 2.23567i) q^{5} +(0.258819 - 0.965926i) q^{6} +(2.21194 - 1.27707i) q^{7} -1.00000 q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(0.965926 - 0.258819i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.0421887 + 2.23567i) q^{5} +(0.258819 - 0.965926i) q^{6} +(2.21194 - 1.27707i) q^{7} -1.00000 q^{8} +(0.866025 - 0.500000i) q^{9} +(1.91505 + 1.15437i) q^{10} +(0.240573 + 0.897829i) q^{11} +(-0.707107 - 0.707107i) q^{12} +(3.05354 - 1.91725i) q^{13} -2.55413i q^{14} +(0.537883 + 2.17041i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.495499 - 1.84923i) q^{17} -1.00000i q^{18} +(0.321456 + 0.0861340i) q^{19} +(1.95724 - 1.08130i) q^{20} +(1.80604 - 1.80604i) q^{21} +(0.897829 + 0.240573i) q^{22} +(0.516175 + 1.92639i) q^{23} +(-0.965926 + 0.258819i) q^{24} +(-4.99644 - 0.188640i) q^{25} +(-0.133619 - 3.60307i) q^{26} +(0.707107 - 0.707107i) q^{27} +(-2.21194 - 1.27707i) q^{28} +(1.58408 + 0.914569i) q^{29} +(2.14857 + 0.619385i) q^{30} +(-0.423885 - 0.423885i) q^{31} +(0.500000 + 0.866025i) q^{32} +(0.464751 + 0.804972i) q^{33} +(-1.35373 - 1.35373i) q^{34} +(2.76178 + 4.99905i) q^{35} +(-0.866025 - 0.500000i) q^{36} +(-6.15259 - 3.55220i) q^{37} +(0.235322 - 0.235322i) q^{38} +(2.45328 - 2.64224i) q^{39} +(0.0421887 - 2.23567i) q^{40} +(-10.7484 + 2.88002i) q^{41} +(-0.661058 - 2.46710i) q^{42} +(-1.38553 - 0.371252i) q^{43} +(0.657257 - 0.657257i) q^{44} +(1.08130 + 1.95724i) q^{45} +(1.92639 + 0.516175i) q^{46} +7.62342i q^{47} +(-0.258819 + 0.965926i) q^{48} +(-0.238207 + 0.412587i) q^{49} +(-2.66159 + 4.23272i) q^{50} -1.91446i q^{51} +(-3.18716 - 1.68582i) q^{52} +(-0.567895 - 0.567895i) q^{53} +(-0.258819 - 0.965926i) q^{54} +(-2.01740 + 0.499963i) q^{55} +(-2.21194 + 1.27707i) q^{56} +0.332796 q^{57} +(1.58408 - 0.914569i) q^{58} +(1.37659 - 5.13751i) q^{59} +(1.61069 - 1.55103i) q^{60} +(-5.39490 - 9.34424i) q^{61} +(-0.579037 + 0.155153i) q^{62} +(1.27707 - 2.21194i) q^{63} +1.00000 q^{64} +(4.15752 + 6.90760i) q^{65} +0.929501 q^{66} +(-6.90482 + 11.9595i) q^{67} +(-1.84923 + 0.495499i) q^{68} +(0.997174 + 1.72716i) q^{69} +(5.71019 + 0.107756i) q^{70} +(-3.55539 + 13.2689i) q^{71} +(-0.866025 + 0.500000i) q^{72} +16.1644 q^{73} +(-6.15259 + 3.55220i) q^{74} +(-4.87501 + 1.11096i) q^{75} +(-0.0861340 - 0.321456i) q^{76} +(1.67872 + 1.67872i) q^{77} +(-1.06161 - 3.44572i) q^{78} -10.6347i q^{79} +(-1.91505 - 1.15437i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-2.88002 + 10.7484i) q^{82} +6.12517i q^{83} +(-2.46710 - 0.661058i) q^{84} +(4.11336 + 1.18579i) q^{85} +(-1.01428 + 1.01428i) q^{86} +(1.76681 + 0.473416i) q^{87} +(-0.240573 - 0.897829i) q^{88} +(6.90537 - 1.85029i) q^{89} +(2.23567 + 0.0421887i) q^{90} +(4.30580 - 8.14043i) q^{91} +(1.41022 - 1.41022i) q^{92} +(-0.519150 - 0.299732i) q^{93} +(6.60208 + 3.81171i) q^{94} +(-0.206129 + 0.715036i) q^{95} +(0.707107 + 0.707107i) q^{96} +(1.12544 + 1.94931i) q^{97} +(0.238207 + 0.412587i) q^{98} +(0.657257 + 0.657257i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8}+O(q^{10}) \) 16 * q + 8 * q^2 - 8 * q^4 + 24 * q^7 - 16 * q^8	\( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8} + 12 q^{11} + 8 q^{13} - 8 q^{15} - 8 q^{16} - 4 q^{17} - 4 q^{19} + 4 q^{23} + 4 q^{25} + 4 q^{26} - 24 q^{28} - 48 q^{29} - 4 q^{30} + 16 q^{31} + 8 q^{32} + 16 q^{33} - 20 q^{34} - 12 q^{35} + 12 q^{37} + 4 q^{38} + 4 q^{39} - 12 q^{41} + 20 q^{43} - 12 q^{44} + 8 q^{45} - 4 q^{46} - 4 q^{49} - 16 q^{50} - 4 q^{52} + 32 q^{53} + 16 q^{55} - 24 q^{56} - 8 q^{57} - 48 q^{58} + 4 q^{59} + 4 q^{60} + 4 q^{61} - 4 q^{62} + 4 q^{63} + 16 q^{64} - 8 q^{65} + 32 q^{66} - 28 q^{67} - 16 q^{68} + 4 q^{69} - 36 q^{71} + 32 q^{73} + 12 q^{74} - 24 q^{75} + 8 q^{76} + 4 q^{77} + 20 q^{78} + 8 q^{81} - 24 q^{82} + 52 q^{85} + 16 q^{86} + 36 q^{87} - 12 q^{88} - 24 q^{89} + 4 q^{90} - 8 q^{92} + 36 q^{94} - 40 q^{95} - 4 q^{97} + 4 q^{98} - 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^2 - 8 * q^4 + 24 * q^7 - 16 * q^8 + 12 * q^11 + 8 * q^13 - 8 * q^15 - 8 * q^16 - 4 * q^17 - 4 * q^19 + 4 * q^23 + 4 * q^25 + 4 * q^26 - 24 * q^28 - 48 * q^29 - 4 * q^30 + 16 * q^31 + 8 * q^32 + 16 * q^33 - 20 * q^34 - 12 * q^35 + 12 * q^37 + 4 * q^38 + 4 * q^39 - 12 * q^41 + 20 * q^43 - 12 * q^44 + 8 * q^45 - 4 * q^46 - 4 * q^49 - 16 * q^50 - 4 * q^52 + 32 * q^53 + 16 * q^55 - 24 * q^56 - 8 * q^57 - 48 * q^58 + 4 * q^59 + 4 * q^60 + 4 * q^61 - 4 * q^62 + 4 * q^63 + 16 * q^64 - 8 * q^65 + 32 * q^66 - 28 * q^67 - 16 * q^68 + 4 * q^69 - 36 * q^71 + 32 * q^73 + 12 * q^74 - 24 * q^75 + 8 * q^76 + 4 * q^77 + 20 * q^78 + 8 * q^81 - 24 * q^82 + 52 * q^85 + 16 * q^86 + 36 * q^87 - 12 * q^88 - 24 * q^89 + 4 * q^90 - 8 * q^92 + 36 * q^94 - 40 * q^95 - 4 * q^97 + 4 * q^98 - 12 * q^99

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