LMFDB - Embedded newform 390.2.bd.b.37.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [390,2,Mod(7,390)]

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, 11]))

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

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

chi := DirichletCharacter("390.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 390 = 2 \cdot 3 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	390.bd (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			37.2
Root			$-0.424637 + 3.22544i$ of defining polynomial
Character	$\chi$	$=$	390.37
Dual form			390.2.bd.b.253.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.00342112 - 2.23607i) q^{5} +(0.965926 - 0.258819i) q^{6} +(-1.88057 + 3.25724i) q^{7} +1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.00342112 - 2.23607i) q^{5} +(0.965926 - 0.258819i) q^{6} +(-1.88057 + 3.25724i) q^{7} +1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +(1.12100 + 1.93478i) q^{10} +(4.81242 + 1.28948i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(-0.440224 - 3.57858i) q^{13} -3.76113i q^{14} +(-0.575432 + 2.16076i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.49873 - 5.59335i) q^{17} -1.00000 q^{18} +(-0.910792 - 3.39912i) q^{19} +(-1.93820 - 1.11507i) q^{20} +(2.65952 - 2.65952i) q^{21} +(-4.81242 + 1.28948i) q^{22} +(1.49317 - 5.57258i) q^{23} +(0.258819 - 0.965926i) q^{24} +(-4.99998 + 0.0152997i) q^{25} +(2.17053 + 2.87903i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(1.88057 + 3.25724i) q^{28} +(3.67601 - 2.12235i) q^{29} +(-0.582041 - 2.15899i) q^{30} +(-2.51448 - 2.51448i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-4.31470 - 2.49109i) q^{33} +(4.09462 + 4.09462i) q^{34} +(7.28983 + 4.19393i) q^{35} +(0.866025 - 0.500000i) q^{36} +(0.851284 + 1.47447i) q^{37} +(2.48833 + 2.48833i) q^{38} +(-0.500979 + 3.57058i) q^{39} +(2.23607 - 0.00342112i) q^{40} +(2.10480 - 7.85522i) q^{41} +(-0.973453 + 3.63298i) q^{42} +(0.601992 - 0.161303i) q^{43} +(3.52294 - 3.52294i) q^{44} +(1.11507 - 1.93820i) q^{45} +(1.49317 + 5.57258i) q^{46} +9.18458 q^{47} +(0.258819 + 0.965926i) q^{48} +(-3.57307 - 6.18873i) q^{49} +(4.32246 - 2.51324i) q^{50} +5.79066i q^{51} +(-3.31925 - 1.40804i) q^{52} +(-6.03244 + 6.03244i) q^{53} +(0.965926 + 0.258819i) q^{54} +(2.86691 - 10.7653i) q^{55} +(-3.25724 - 1.88057i) q^{56} +3.51903i q^{57} +(-2.12235 + 3.67601i) q^{58} +(5.50190 - 1.47423i) q^{59} +(1.58356 + 1.57872i) q^{60} +(-2.64801 + 4.58649i) q^{61} +(3.43484 + 0.920362i) q^{62} +(-3.25724 + 1.88057i) q^{63} -1.00000 q^{64} +(-8.00042 + 0.996613i) q^{65} +4.98218 q^{66} +(4.66250 - 2.69190i) q^{67} +(-5.59335 - 1.49873i) q^{68} +(-2.88458 + 4.99624i) q^{69} +(-8.41014 + 0.0128673i) q^{70} +(-11.0111 + 2.95042i) q^{71} +(-0.500000 + 0.866025i) q^{72} +5.27482i q^{73} +(-1.47447 - 0.851284i) q^{74} +(4.83357 + 1.27931i) q^{75} +(-3.39912 - 0.910792i) q^{76} +(-13.2502 + 13.2502i) q^{77} +(-1.35143 - 3.34270i) q^{78} +4.66690i q^{79} +(-1.93478 + 1.12100i) q^{80} +(0.500000 + 0.866025i) q^{81} +(2.10480 + 7.85522i) q^{82} +0.863680 q^{83} +(-0.973453 - 3.63298i) q^{84} +(-12.5020 + 3.37040i) q^{85} +(-0.440689 + 0.440689i) q^{86} +(-4.10006 + 1.09861i) q^{87} +(-1.28948 + 4.81242i) q^{88} +(3.59112 - 13.4022i) q^{89} +(0.00342112 + 2.23607i) q^{90} +(12.4841 + 5.29584i) q^{91} +(-4.07941 - 4.07941i) q^{92} +(1.77800 + 3.07959i) q^{93} +(-7.95408 + 4.59229i) q^{94} +(-7.59755 + 2.04822i) q^{95} +(-0.707107 - 0.707107i) q^{96} +(15.4791 + 8.93684i) q^{97} +(6.18873 + 3.57307i) q^{98} +(3.52294 + 3.52294i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) $ 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7	$ 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) $ 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7 + 12 * q^11 - 8 * q^13 + 12 * q^15 - 8 * q^16 + 16 * q^17 - 16 * q^18 + 4 * q^19 - 4 * q^20 - 12 * q^22 - 4 * q^23 - 4 * q^25 + 4 * q^26 - 4 * q^28 + 48 * q^29 - 8 * q^30 + 16 * q^31 + 20 * q^34 + 12 * q^35 + 20 * q^37 - 4 * q^38 - 4 * q^39 - 12 * q^41 + 4 * q^43 + 12 * q^44 - 4 * q^46 - 64 * q^47 + 4 * q^49 + 16 * q^50 - 16 * q^52 + 32 * q^53 - 44 * q^55 - 24 * q^56 - 12 * q^58 - 4 * q^59 + 12 * q^60 + 4 * q^61 - 20 * q^62 - 24 * q^63 - 16 * q^64 - 8 * q^65 + 32 * q^66 - 36 * q^67 - 4 * q^68 - 4 * q^69 - 36 * q^71 - 8 * q^72 - 12 * q^74 + 8 * q^76 - 4 * q^77 - 12 * q^78 - 8 * q^80 + 8 * q^81 - 12 * q^82 + 24 * q^83 - 52 * q^85 + 16 * q^86 - 12 * q^87 + 24 * q^89 - 4 * q^90 - 8 * q^92 - 36 * q^94 - 44 * q^95 + 60 * q^97 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$131$	$157$	$301$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{12}\right)$

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 $

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	−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
$5$	−0.00342112	−	2.23607i	−0.00152997	−	0.999999i
$5$	−0.00342112	−	2.23607i	−0.00152997	−	0.999999i
$6$	0.965926	−	0.258819i	0.394338	−	0.105662i
$7$	−1.88057	+	3.25724i	−0.710788	+	1.23112i	0.253774	+	0.967263i	$0.418328\pi$
$7$	−1.88057	+	3.25724i	−0.710788	+	1.23112i	−0.964562	+	0.263857i	$0.915005\pi$
$8$			1.00000i			0.353553i
$9$	0.866025	+	0.500000i	0.288675	+	0.166667i
$10$	1.12100	+	1.93478i	0.354490	+	0.611831i
$11$	4.81242	+	1.28948i	1.45100	+	0.388794i	0.896371	−	0.443305i	$-0.146194\pi$
$11$	4.81242	+	1.28948i	1.45100	+	0.388794i	0.554628	+	0.832099i	$0.312861\pi$
$12$	−0.707107	+	0.707107i	−0.204124	+	0.204124i
$13$	−0.440224	−	3.57858i	−0.122096	−	0.992518i
$13$	−0.440224	−	3.57858i	−0.122096	−	0.992518i
$14$		−	3.76113i		−	1.00521i
$15$	−0.575432	+	2.16076i	−0.148576	+	0.557906i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−1.49873	−	5.59335i	−0.363496	−	1.35659i	−0.869448	−	0.494025i	$-0.835525\pi$
$17$	−1.49873	−	5.59335i	−0.363496	−	1.35659i	0.505952	−	0.862562i	$-0.331141\pi$
$18$	−1.00000			−0.235702
$19$	−0.910792	−	3.39912i	−0.208950	−	0.779812i	−0.988209	−	0.153110i	$-0.951071\pi$
$19$	−0.910792	−	3.39912i	−0.208950	−	0.779812i	0.779259	−	0.626702i	$-0.215596\pi$
$20$	−1.93820	−	1.11507i	−0.433395	−	0.249337i
$21$	2.65952	−	2.65952i	0.580356	−	0.580356i
$22$	−4.81242	+	1.28948i	−1.02601	+	0.274919i
$23$	1.49317	−	5.57258i	0.311347	−	1.16196i	−0.615995	−	0.787750i	$-0.711246\pi$
$23$	1.49317	−	5.57258i	0.311347	−	1.16196i	0.927342	−	0.374214i	$-0.122087\pi$
$24$	0.258819	−	0.965926i	0.0528312	−	0.197169i
$25$	−4.99998	+	0.0152997i	−0.999995	+	0.00305994i
$26$	2.17053	+	2.87903i	0.425677	+	0.564623i
$27$	−0.707107	−	0.707107i	−0.136083	−	0.136083i
$28$	1.88057	+	3.25724i	0.355394	+	0.615560i
$29$	3.67601	−	2.12235i	0.682618	−	0.394110i	−0.118223	−	0.992987i	$-0.537720\pi$
$29$	3.67601	−	2.12235i	0.682618	−	0.394110i	0.800841	+	0.598877i	$0.204386\pi$
$30$	−0.582041	−	2.15899i	−0.106266	−	0.394175i
$31$	−2.51448	−	2.51448i	−0.451613	−	0.451613i	0.444276	−	0.895890i	$-0.353461\pi$
$31$	−2.51448	−	2.51448i	−0.451613	−	0.451613i	−0.895890	+	0.444276i	$0.853461\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	−4.31470	−	2.49109i	−0.751092	−	0.433643i
$34$	4.09462	+	4.09462i	0.702221	+	0.702221i
$35$	7.28983	+	4.19393i	1.23221	+	0.708903i
$36$	0.866025	−	0.500000i	0.144338	−	0.0833333i
$37$	0.851284	+	1.47447i	0.139950	+	0.242401i	0.927478	−	0.373879i	$-0.121972\pi$
$37$	0.851284	+	1.47447i	0.139950	+	0.242401i	−0.787527	+	0.616280i	$0.788639\pi$
$38$	2.48833	+	2.48833i	0.403661	+	0.403661i
$39$	−0.500979	+	3.57058i	−0.0802209	+	0.571750i
$40$	2.23607	−	0.00342112i	0.353553	−	0.000540927i
$41$	2.10480	−	7.85522i	0.328715	−	1.22678i	−0.581810	−	0.813325i	$-0.697655\pi$
$41$	2.10480	−	7.85522i	0.328715	−	1.22678i	0.910525	−	0.413455i	$-0.135678\pi$
$42$	−0.973453	+	3.63298i	−0.150207	+	0.560581i
$43$	0.601992	−	0.161303i	0.0918029	−	0.0245985i	−0.212625	−	0.977134i	$-0.568201\pi$
$43$	0.601992	−	0.161303i	0.0918029	−	0.0245985i	0.304428	+	0.952535i	$0.401535\pi$
$44$	3.52294	−	3.52294i	0.531102	−	0.531102i
$45$	1.11507	−	1.93820i	0.166225	−	0.288930i
$46$	1.49317	+	5.57258i	0.220156	+	0.821633i
$47$	9.18458			1.33971			0.669854	−	0.742493i	$-0.266357\pi$
$47$	9.18458			1.33971			0.669854	+	0.742493i	$0.266357\pi$
$48$	0.258819	+	0.965926i	0.0373573	+	0.139419i
$49$	−3.57307	−	6.18873i	−0.510438	−	0.884105i
$50$	4.32246	−	2.51324i	0.611288	−	0.355426i
$51$			5.79066i			0.810855i
$52$	−3.31925	−	1.40804i	−0.460297	−	0.195260i
$53$	−6.03244	+	6.03244i	−0.828619	+	0.828619i	−0.987326	−	0.158707i	$-0.949268\pi$
$53$	−6.03244	+	6.03244i	−0.828619	+	0.828619i	0.158707	+	0.987326i	$0.449268\pi$
$54$	0.965926	+	0.258819i	0.131446	+	0.0352208i
$55$	2.86691	−	10.7653i	0.386574	−	1.45159i
$56$	−3.25724	−	1.88057i	−0.435267	−	0.251301i
$57$			3.51903i			0.466107i
$58$	−2.12235	+	3.67601i	−0.278678	+	0.482684i
$59$	5.50190	−	1.47423i	0.716287	−	0.191928i	0.117773	−	0.993041i	$-0.462425\pi$
$59$	5.50190	−	1.47423i	0.716287	−	0.191928i	0.598514	+	0.801112i	$0.295758\pi$
$60$	1.58356	+	1.57872i	0.204436	+	0.203812i
$61$	−2.64801	+	4.58649i	−0.339043	+	0.587240i	−0.984253	−	0.176765i	$-0.943437\pi$
$61$	−2.64801	+	4.58649i	−0.339043	+	0.587240i	0.645210	+	0.764005i	$0.276770\pi$
$62$	3.43484	+	0.920362i	0.436225	+	0.116886i
$63$	−3.25724	+	1.88057i	−0.410373	+	0.236929i
$64$	−1.00000			−0.125000
$65$	−8.00042	+	0.996613i	−0.992330	+	0.123615i
$66$	4.98218			0.613264
$67$	4.66250	−	2.69190i	0.569616	−	0.328868i	−0.187380	−	0.982287i	$-0.560000\pi$
$67$	4.66250	−	2.69190i	0.569616	−	0.328868i	0.756996	+	0.653420i	$0.226666\pi$
$68$	−5.59335	−	1.49873i	−0.678293	−	0.181748i
$69$	−2.88458	+	4.99624i	−0.347263	+	0.601477i
$70$	−8.41014	+	0.0128673i	−1.00520	+	0.00153794i
$71$	−11.0111	+	2.95042i	−1.30678	+	0.350150i	−0.844010	−	0.536328i	$-0.819811\pi$
$71$	−11.0111	+	2.95042i	−1.30678	+	0.350150i	−0.462770	+	0.886479i	$0.653144\pi$
$72$	−0.500000	+	0.866025i	−0.0589256	+	0.102062i
$73$			5.27482i			0.617371i	0.951164	+	0.308686i	$0.0998891\pi$
$73$			5.27482i			0.617371i	−0.951164	+	0.308686i	$0.900111\pi$
$74$	−1.47447	−	0.851284i	−0.171403	−	0.0989597i
$75$	4.83357	+	1.27931i	0.558132	+	0.147722i
$76$	−3.39912	−	0.910792i	−0.389906	−	0.104475i
$77$	−13.2502	+	13.2502i	−1.51000	+	1.51000i
$78$	−1.35143	−	3.34270i	−0.153019	−	0.378486i
$79$			4.66690i			0.525068i	0.964923	+	0.262534i	$0.0845582\pi$
$79$			4.66690i			0.525068i	−0.964923	+	0.262534i	$0.915442\pi$
$80$	−1.93478	+	1.12100i	−0.216315	+	0.125331i
$81$	0.500000	+	0.866025i	0.0555556	+	0.0962250i
$82$	2.10480	+	7.85522i	0.232436	+	0.867464i
$83$	0.863680			0.0948012			0.0474006	−	0.998876i	$-0.484906\pi$
$83$	0.863680			0.0948012			0.0474006	+	0.998876i	$0.484906\pi$
$84$	−0.973453	−	3.63298i	−0.106212	−	0.396390i
$85$	−12.5020	+	3.37040i	−1.35603	+	0.365571i
$86$	−0.440689	+	0.440689i	−0.0475207	+	0.0475207i
$87$	−4.10006	+	1.09861i	−0.439572	+	0.117783i
$88$	−1.28948	+	4.81242i	−0.137459	+	0.513006i
$89$	3.59112	−	13.4022i	0.380658	−	1.42063i	−0.464242	−	0.885709i	$-0.653673\pi$
$89$	3.59112	−	13.4022i	0.380658	−	1.42063i	0.844899	−	0.534925i	$-0.179660\pi$
$90$	0.00342112	+	2.23607i	0.000360618	+	0.235702i
$91$	12.4841	+	5.29584i	1.30869	+	0.555154i
$92$	−4.07941	−	4.07941i	−0.425308	−	0.425308i
$93$	1.77800	+	3.07959i	0.184370	+	0.319339i
$94$	−7.95408	+	4.59229i	−0.820401	+	0.473658i
$95$	−7.59755	+	2.04822i	−0.779492	+	0.210143i
$96$	−0.707107	−	0.707107i	−0.0721688	−	0.0721688i
$97$	15.4791	+	8.93684i	1.57166	+	0.907399i	0.995966	+	0.0897349i	$0.0286020\pi$
$97$	15.4791	+	8.93684i	1.57166	+	0.907399i	0.575696	+	0.817664i	$0.304731\pi$
$98$	6.18873	+	3.57307i	0.625156	+	0.360934i
$99$	3.52294	+	3.52294i	0.354068	+	0.354068i
$100$	−2.48674	+	4.33776i	−0.248674	+	0.433776i
$101$	−3.70757	+	2.14057i	−0.368917	+	0.212994i	−0.672985	−	0.739656i	$-0.734988\pi$
$101$	−3.70757	+	2.14057i	−0.368917	+	0.212994i	0.304068	+	0.952650i	$0.401655\pi$
$102$	−2.89533	−	5.01486i	−0.286680	−	0.496545i
$103$	−5.75774	−	5.75774i	−0.567327	−	0.567327i	0.364052	−	0.931379i	$-0.381393\pi$
$103$	−5.75774	−	5.75774i	−0.567327	−	0.567327i	−0.931379	+	0.364052i	$0.881393\pi$
$104$	3.57858	−	0.440224i	0.350908	−	0.0431676i
$105$	−5.95597	−	5.93777i	−0.581243	−	0.579467i
$106$	2.20803	−	8.24046i	0.214462	−	0.800384i
$107$	−1.07834	+	4.02443i	−0.104247	+	0.389056i	−0.998259	−	0.0589882i	$-0.981213\pi$
$107$	−1.07834	+	4.02443i	−0.104247	+	0.389056i	0.894011	+	0.448044i	$0.147879\pi$
$108$	−0.965926	+	0.258819i	−0.0929463	+	0.0249049i
$109$	4.69157	−	4.69157i	0.449371	−	0.449371i	−0.445774	−	0.895145i	$-0.647072\pi$
$109$	4.69157	−	4.69157i	0.449371	−	0.449371i	0.895145	+	0.445774i	$0.147072\pi$
$110$	2.89983	+	10.7565i	0.276488	+	1.02559i
$111$	−0.440657	−	1.64455i	−0.0418253	−	0.156094i
$112$	3.76113			0.355394
$113$	−5.27831	−	19.6989i	−0.496542	−	1.85312i	−0.521219	−	0.853423i	$-0.674522\pi$
$113$	−5.27831	−	19.6989i	−0.496542	−	1.85312i	0.0246772	−	0.999695i	$-0.492144\pi$
$114$	−1.75952	−	3.04757i	−0.164794	−	0.285431i
$115$	−12.4658	−	3.31976i	−1.16244	−	0.309569i
$116$		−	4.24469i		−	0.394110i
$117$	1.40804	−	3.31925i	0.130174	−	0.306865i
$118$	−4.02767	+	4.02767i	−0.370777	+	0.370777i
$119$	21.0373	+	5.63694i	1.92849	+	0.516737i
$120$	−2.16076	−	0.575432i	−0.197249	−	0.0525295i
$121$	11.9703	+	6.91107i	1.08821	+	0.628279i
$122$		−	5.29602i		−	0.479480i
$123$	−4.06616	+	7.04280i	−0.366633	+	0.635028i
$124$	−3.43484	+	0.920362i	−0.308458	+	0.0826510i
$125$	0.0513167	+	11.1802i	0.00458990	+	0.999989i
$126$	1.88057	−	3.25724i	0.167534	−	0.290178i
$127$	11.3340	+	3.03693i	1.00573	+	0.269484i	0.723843	−	0.689964i	$-0.242374\pi$
$127$	11.3340	+	3.03693i	1.00573	+	0.269484i	0.281884	+	0.959448i	$0.409041\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	−0.623228			−0.0548722
$130$	6.43026	−	4.86330i	0.563971	−	0.426540i
$131$	−8.55747			−0.747669			−0.373835	−	0.927495i	$-0.621957\pi$
$131$	−8.55747			−0.747669			−0.373835	+	0.927495i	$0.621957\pi$
$132$	−4.31470	+	2.49109i	−0.375546	+	0.216822i
$133$	12.7846	+	3.42561i	1.10856	+	0.297038i
$134$	−2.69190	+	4.66250i	−0.232545	+	0.402779i
$135$	−1.57872	+	1.58356i	−0.135874	+	0.136291i
$136$	5.59335	−	1.49873i	0.479626	−	0.128515i
$137$	−9.05042	+	15.6758i	−0.773230	+	1.33927i	0.162554	+	0.986700i	$0.448027\pi$
$137$	−9.05042	+	15.6758i	−0.773230	+	1.33927i	−0.935784	+	0.352574i	$0.885307\pi$
$138$		−	5.76916i		−	0.491104i
$139$	5.27198	+	3.04378i	0.447164	+	0.258170i	0.706632	−	0.707582i	$-0.250214\pi$
$139$	5.27198	+	3.04378i	0.447164	+	0.258170i	−0.259468	+	0.965752i	$0.583547\pi$
$140$	7.27696	−	4.21621i	0.615016	−	0.356335i
$141$	−8.87162	−	2.37714i	−0.747125	−	0.200192i
$142$	8.06070	−	8.06070i	0.676439	−	0.676439i
$143$	2.49597	−	17.7893i	0.208724	−	1.48761i
$144$		−	1.00000i		−	0.0833333i
$145$	−4.75828	−	8.21254i	−0.395154	−	0.682014i
$146$	−2.63741	−	4.56813i	−0.218274	−	0.378061i
$147$	1.84956	+	6.90263i	0.152549	+	0.569320i
$148$	1.70257			0.139950
$149$	3.21271	+	11.9900i	0.263195	+	0.982259i	0.963346	+	0.268263i	$0.0864497\pi$
$149$	3.21271	+	11.9900i	0.263195	+	0.982259i	−0.700150	+	0.713996i	$0.746884\pi$
$150$	−4.82565	+	1.30887i	−0.394012	+	0.106869i
$151$	−10.5457	+	10.5457i	−0.858194	+	0.858194i	−0.991125	−	0.132931i	$-0.957561\pi$
$151$	−10.5457	+	10.5457i	−0.858194	+	0.858194i	0.132931	+	0.991125i	$0.457561\pi$
$152$	3.39912	−	0.910792i	0.275705	−	0.0738750i
$153$	1.49873	−	5.59335i	0.121165	−	0.452195i
$154$	4.84992	−	18.1002i	0.390818	−	1.45855i
$155$	−5.61393	+	5.63114i	−0.450922	+	0.452304i
$156$	2.84172	+	2.21915i	0.227520	+	0.177674i
$157$	−14.4314	−	14.4314i	−1.15175	−	1.15175i	−0.986202	−	0.165545i	$-0.947062\pi$
$157$	−14.4314	−	14.4314i	−1.15175	−	1.15175i	−0.165545	−	0.986202i	$-0.552938\pi$
$158$	−2.33345	−	4.04166i	−0.185640	−	0.321537i
$159$	7.38820	−	4.26558i	0.585922	−	0.338282i
$160$	1.11507	−	1.93820i	0.0881540	−	0.153228i
$161$	15.3432	+	15.3432i	1.20922	+	1.20922i
$162$	−0.866025	−	0.500000i	−0.0680414	−	0.0392837i
$163$	−6.25152	−	3.60932i	−0.489657	−	0.282704i	0.234775	−	0.972050i	$-0.424565\pi$
$163$	−6.25152	−	3.60932i	−0.489657	−	0.282704i	−0.724432	+	0.689346i	$0.757898\pi$
$164$	−5.75042	−	5.75042i	−0.449032	−	0.449032i
$165$	−5.55548	+	9.65647i	−0.432494	+	0.751755i
$166$	−0.747969	+	0.431840i	−0.0580536	+	0.0335173i
$167$	6.12243	+	10.6044i	0.473768	+	0.820590i	0.999549	−	0.0300300i	$-0.00956027\pi$
$167$	6.12243	+	10.6044i	0.473768	+	0.820590i	−0.525781	+	0.850620i	$0.676227\pi$
$168$	2.65952	+	2.65952i	0.205187	+	0.205187i
$169$	−12.6124	+	3.15075i	−0.970185	+	0.242366i
$170$	9.14182	−	9.16984i	0.701146	−	0.703294i
$171$	0.910792	−	3.39912i	0.0696500	−	0.259937i
$172$	0.161303	−	0.601992i	0.0122993	−	0.0459015i
$173$	−2.62836	+	0.704267i	−0.199831	+	0.0535444i	−0.357346	−	0.933972i	$-0.616318\pi$
$173$	−2.62836	+	0.704267i	−0.199831	+	0.0535444i	0.157515	+	0.987517i	$0.449652\pi$
$174$	3.00145	−	3.00145i	0.227539	−	0.227539i
$175$	9.35296	−	16.3149i	0.707017	−	1.23329i
$176$	−1.28948	−	4.81242i	−0.0971985	−	0.362750i
$177$	−5.69599			−0.428137
$178$	3.59112	+	13.4022i	0.269166	+	1.00454i
$179$	−5.19092	−	8.99094i	−0.387988	−	0.672015i	0.604191	−	0.796840i	$-0.293496\pi$
$179$	−5.19092	−	8.99094i	−0.387988	−	0.672015i	−0.992179	+	0.124825i	$0.960163\pi$
$180$	−1.12100	−	1.93478i	−0.0835541	−	0.144210i
$181$			0.00298723i			0.000222039i	1.00000		0.000111020i	$3.53386e-5\pi$
$181$			0.00298723i			0.000222039i	−1.00000		0.000111020i	$0.999965\pi$
$182$	−13.4595	+	1.65574i	−0.997685	+	0.122732i
$183$	3.74485	−	3.74485i	0.276828	−	0.276828i
$184$	5.57258	+	1.49317i	0.410816	+	0.110078i
$185$	3.29409	−	1.90857i	0.242186	−	0.140321i
$186$	−3.07959	−	1.77800i	−0.225807	−	0.130370i
$187$		−	28.8501i		−	2.10973i
$188$	4.59229	−	7.95408i	0.334927	−	0.580111i
$189$	3.63298	−	0.973453i	0.264260	−	0.0708083i
$190$	5.55556	−	5.57258i	0.403043	−	0.404278i
$191$	1.39117	−	2.40958i	0.100662	−	0.174351i	−0.811296	−	0.584636i	$-0.801237\pi$
$191$	1.39117	−	2.40958i	0.100662	−	0.174351i	0.911957	+	0.410285i	$0.134571\pi$
$192$	0.965926	+	0.258819i	0.0697097	+	0.0186787i
$193$	13.1378	−	7.58514i	0.945683	−	0.545990i	0.0539455	−	0.998544i	$-0.482820\pi$
$193$	13.1378	−	7.58514i	0.945683	−	0.545990i	0.891737	+	0.452554i	$0.149487\pi$
$194$	−17.8737			−1.28326
$195$	7.98576	+	1.10801i	0.571872	+	0.0793460i
$196$	−7.14613			−0.510438
$197$	18.4569	−	10.6561i	1.31500	−	0.759215i	0.332080	−	0.943251i	$-0.392250\pi$
$197$	18.4569	−	10.6561i	1.31500	−	0.759215i	0.982919	+	0.184036i	$0.0589163\pi$
$198$	−4.81242	−	1.28948i	−0.342004	−	0.0916396i
$199$	−4.07958	+	7.06604i	−0.289194	+	0.500899i	−0.973618	−	0.228186i	$-0.926721\pi$
$199$	−4.07958	+	7.06604i	−0.289194	+	0.500899i	0.684424	+	0.729085i	$0.260054\pi$
$200$	−0.0152997	−	4.99998i	−0.00108185	−	0.353552i
$201$	−5.20035	+	1.39343i	−0.366804	+	0.0982849i
$202$	2.14057	−	3.70757i	0.150610	−	0.260864i
$203$			15.9649i			1.12051i
$204$	5.01486	+	2.89533i	0.351110	+	0.202714i
$205$	−17.5720	−	4.67960i	−1.22728	−	0.326837i
$206$	7.86522	+	2.10748i	0.547996	+	0.146835i
$207$	4.07941	−	4.07941i	0.283539	−	0.283539i
$208$	−2.87903	+	2.17053i	−0.199624	+	0.150499i
$209$		−	17.5325i		−	1.21275i
$210$	8.12690	+	2.16428i	0.560810	+	0.149349i
$211$	13.4348	+	23.2697i	0.924887	+	1.60195i	0.791743	+	0.610854i	$0.209174\pi$
$211$	13.4348	+	23.2697i	0.924887	+	1.60195i	0.133144	+	0.991097i	$0.457493\pi$
$212$	2.20803	+	8.24046i	0.151648	+	0.565957i
$213$	11.3995			0.781084
$214$	−1.07834	−	4.02443i	−0.0737139	−	0.275104i
$215$	−0.362744	−	1.34554i	−0.0247390	−	0.0917652i
$216$	0.707107	−	0.707107i	0.0481125	−	0.0481125i
$217$	12.9189	−	3.46161i	0.876991	−	0.234989i
$218$	−1.71723	+	6.40881i	−0.116306	+	0.434059i
$219$	1.36522	−	5.09509i	0.0922533	−	0.344294i
$220$	−7.88957	−	7.86546i	−0.531914	−	0.530289i
$221$	−19.3564	+	7.82566i	−1.30206	+	0.526411i
$222$	1.20390	+	1.20390i	0.0808003	+	0.0808003i
$223$	8.09867	+	14.0273i	0.542327	+	0.939338i	0.998770	+	0.0495855i	$0.0157900\pi$
$223$	8.09867	+	14.0273i	0.542327	+	0.939338i	−0.456443	+	0.889753i	$0.650877\pi$
$224$	−3.25724	+	1.88057i	−0.217633	+	0.125651i
$225$	−4.33776	−	2.48674i	−0.289184	−	0.165783i
$226$	14.4206	+	14.4206i	0.959245	+	0.959245i
$227$	18.6891	+	10.7902i	1.24044	+	0.716169i	0.969184	−	0.246338i	$-0.0792273\pi$
$227$	18.6891	+	10.7902i	1.24044	+	0.716169i	0.271257	+	0.962507i	$0.412561\pi$
$228$	3.04757	+	1.75952i	0.201830	+	0.116527i
$229$	9.43282	+	9.43282i	0.623338	+	0.623338i	0.946384	−	0.323045i	$-0.104707\pi$
$229$	9.43282	+	9.43282i	0.623338	+	0.623338i	−0.323045	+	0.946384i	$0.604707\pi$
$230$	12.4556	−	3.35789i	0.821295	−	0.221413i
$231$	16.2282	−	9.36933i	1.06773	−	0.616457i
$232$	2.12235	+	3.67601i	0.139339	+	0.241342i
$233$	8.62757	+	8.62757i	0.565211	+	0.565211i	0.930783	−	0.365572i	$-0.119127\pi$
$233$	8.62757	+	8.62757i	0.565211	+	0.565211i	−0.365572	+	0.930783i	$0.619127\pi$
$234$	0.440224	+	3.57858i	0.0287784	+	0.233939i
$235$	−0.0314216	−	20.5373i	−0.00204972	−	1.33971i
$236$	1.47423	−	5.50190i	0.0959642	−	0.358143i
$237$	1.20788	−	4.50788i	0.0784605	−	0.292819i
$238$	−21.0373	+	5.63694i	−1.36365	+	0.365388i
$239$	−4.17052	+	4.17052i	−0.269768	+	0.269768i	−0.829007	−	0.559238i	$-0.811094\pi$
$239$	−4.17052	+	4.17052i	−0.269768	+	0.269768i	0.559238	+	0.829007i	$0.311094\pi$
$240$	2.15899	−	0.582041i	0.139362	−	0.0375706i
$241$	−5.18377	−	19.3461i	−0.333916	−	1.24619i	−0.905040	−	0.425327i	$-0.860159\pi$
$241$	−5.18377	−	19.3461i	−0.333916	−	1.24619i	0.571124	−	0.820864i	$-0.306508\pi$
$242$	−13.8221			−0.888521
$243$	−0.258819	−	0.965926i	−0.0166032	−	0.0619642i
$244$	2.64801	+	4.58649i	0.169522	+	0.293620i
$245$	−13.8262	+	8.01078i	−0.883323	+	0.511790i
$246$		−	8.13232i		−	0.518498i
$247$	−11.7631	+	4.75572i	−0.748466	+	0.302599i
$248$	2.51448	−	2.51448i	0.159669	−	0.159669i
$249$	−0.834251	−	0.223537i	−0.0528685	−	0.0141661i
$250$	−5.63455	−	9.65670i	−0.356360	−	0.610743i
$251$	2.57154	+	1.48468i	0.162314	+	0.0937120i	0.578957	−	0.815358i	$-0.303460\pi$
$251$	2.57154	+	1.48468i	0.162314	+	0.0937120i	−0.416643	+	0.909070i	$0.636793\pi$
$252$			3.76113i			0.236929i
$253$	14.3715	−	24.8922i	0.903529	−	1.56496i
$254$	−11.3340	+	3.03693i	−0.711157	+	0.190554i
$255$	12.9483	−	0.0198106i	0.810854	−	0.00124059i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−20.7786	−	5.56761i	−1.29613	−	0.347298i	−0.456147	−	0.889905i	$-0.650771\pi$
$257$	−20.7786	−	5.56761i	−1.29613	−	0.347298i	−0.839987	+	0.542606i	$0.817438\pi$
$258$	0.539731	−	0.311614i	0.0336022	−	0.0194002i
$259$	−6.40359			−0.397899
$260$	−3.13712	+	7.42688i	−0.194556	+	0.460595i
$261$	4.24469			0.262740
$262$	7.41098	−	4.27873i	0.457852	−	0.264341i
$263$	2.18647	+	0.585863i	0.134824	+	0.0361259i	0.325600	−	0.945508i	$-0.394434\pi$
$263$	2.18647	+	0.585863i	0.134824	+	0.0361259i	−0.190776	+	0.981634i	$0.561100\pi$
$264$	2.49109	−	4.31470i	0.153316	−	0.265551i
$265$	13.5096	+	13.4683i	0.829886	+	0.827350i
$266$	−12.7846	+	3.42561i	−0.783872	+	0.210038i
$267$	−6.93751	+	12.0161i	−0.424568	+	0.735374i
$268$		−	5.38380i		−	0.328868i
$269$	−15.4313	−	8.90928i	−0.940864	−	0.543208i	−0.0506331	−	0.998717i	$-0.516124\pi$
$269$	−15.4313	−	8.90928i	−0.940864	−	0.543208i	−0.890231	+	0.455509i	$0.849457\pi$
$270$	0.575432	−	2.16076i	0.0350197	−	0.131500i
$271$	−17.8068	−	4.77131i	−1.08168	−	0.289837i	−0.326399	−	0.945232i	$-0.605835\pi$
$271$	−17.8068	−	4.77131i	−1.08168	−	0.289837i	−0.755286	+	0.655395i	$0.772502\pi$
$272$	−4.09462	+	4.09462i	−0.248273	+	0.248273i
$273$	−10.6881	−	8.34652i	−0.646873	−	0.505154i
$274$		−	18.1008i		−	1.09351i
$275$	−24.0817	−	6.37376i	−1.45218	−	0.384352i
$276$	2.88458	+	4.99624i	0.173631	+	0.300738i
$277$	−2.70758	−	10.1048i	−0.162683	−	0.607139i	−0.998324	−	0.0578648i	$-0.981571\pi$
$277$	−2.70758	−	10.1048i	−0.162683	−	0.607139i	0.835642	−	0.549275i	$-0.185096\pi$
$278$	−6.08756			−0.365107
$279$	−0.920362	−	3.43484i	−0.0551006	−	0.205638i
$280$	−4.19393	+	7.28983i	−0.250635	+	0.435651i
$281$	16.2537	−	16.2537i	0.969616	−	0.969616i	−0.0299357	−	0.999552i	$-0.509530\pi$
$281$	16.2537	−	16.2537i	0.969616	−	0.969616i	0.999552	+	0.0299357i	$0.00953025\pi$
$282$	8.87162	−	2.37714i	0.528297	−	0.141557i
$283$	−8.05557	+	30.0638i	−0.478854	+	1.78711i	0.127418	+	0.991849i	$0.459331\pi$
$283$	−8.05557	+	30.0638i	−0.478854	+	1.78711i	−0.606272	+	0.795258i	$0.707336\pi$
$284$	−2.95042	+	11.0111i	−0.175075	+	0.653390i
$285$	7.86879	−	0.0120390i	0.466107	−	0.000713131i
$286$	6.73306	+	16.6539i	0.398134	+	0.984768i
$287$	21.6281	+	21.6281i	1.27667	+	1.27667i
$288$	0.500000	+	0.866025i	0.0294628	+	0.0510310i
$289$	−14.3169	+	8.26588i	−0.842172	+	0.486228i
$290$	8.22706	+	4.73313i	0.483110	+	0.277939i
$291$	−12.6386	−	12.6386i	−0.740888	−	0.740888i
$292$	4.56813	+	2.63741i	0.267330	+	0.154343i
$293$	−0.235560	−	0.136000i	−0.0137615	−	0.00794523i	0.493103	−	0.869971i	$-0.335862\pi$
$293$	−0.235560	−	0.136000i	−0.0137615	−	0.00794523i	−0.506865	+	0.862025i	$0.669196\pi$
$294$	−5.05308	−	5.05308i	−0.294702	−	0.294702i
$295$	−3.31530	−	12.2976i	−0.193024	−	0.715992i
$296$	−1.47447	+	0.851284i	−0.0857016	+	0.0494799i
$297$	−2.49109	−	4.31470i	−0.144548	−	0.250364i
$298$	−8.77729	−	8.77729i	−0.508455	−	0.508455i
$299$	−20.5992	−	2.89023i	−1.19128	−	0.167146i
$300$	3.52470	−	3.54634i	0.203499	−	0.204748i
$301$	−0.606683	+	2.26417i	−0.0349687	+	0.130505i
$302$	3.85998	−	14.4056i	0.222117	−	0.828952i
$303$	4.13526	−	1.10804i	0.237564	−	0.0636552i
$304$	−2.48833	+	2.48833i	−0.142716	+	0.142716i
$305$	10.2648	+	5.90544i	0.587758	+	0.338144i
$306$	1.49873	+	5.59335i	0.0856769	+	0.319750i
$307$	19.6291			1.12029			0.560145	−	0.828395i	$-0.310745\pi$
$307$	19.6291			1.12029			0.560145	+	0.828395i	$0.310745\pi$
$308$	4.84992	+	18.1002i	0.276350	+	1.03135i
$309$	4.07134	+	7.05177i	0.231610	+	0.401161i
$310$	2.04624	−	7.68367i	0.116219	−	0.436403i
$311$			7.66916i			0.434878i	0.976074	+	0.217439i	$0.0697704\pi$
$311$			7.66916i			0.434878i	−0.976074	+	0.217439i	$0.930230\pi$
$312$	−3.57058	−	0.500979i	−0.202144	−	0.0283624i
$313$	−7.66815	+	7.66815i	−0.433429	+	0.433429i	−0.889793	−	0.456364i	$-0.849152\pi$
$313$	−7.66815	+	7.66815i	−0.433429	+	0.433429i	0.456364	+	0.889793i	$0.349152\pi$
$314$	19.7136	+	5.28224i	1.11250	+	0.298094i
$315$	4.21621	+	7.27696i	0.237557	+	0.410010i
$316$	4.04166	+	2.33345i	0.227361	+	0.131267i
$317$		−	16.1221i		−	0.905509i	−0.891635	−	0.452755i	$-0.850441\pi$
$317$		−	16.1221i		−	0.905509i	0.891635	−	0.452755i	$-0.149559\pi$
$318$	−4.26558	+	7.38820i	−0.239202	+	0.414309i
$319$	20.4272	−	5.47346i	1.14371	−	0.306455i
$320$	0.00342112	+	2.23607i	0.000191247	+	0.125000i
$321$	2.08320	−	3.60820i	0.116273	−	0.201390i
$322$	−20.9592	−	5.61601i	−1.16801	−	0.312968i
$323$	−17.6475	+	10.1888i	−0.981930	+	0.566918i
$324$	1.00000			0.0555556
$325$	2.25586	+	17.8861i	0.125133	+	0.992140i
$326$	7.21863			0.399803
$327$	−5.74598	+	3.31744i	−0.317753	+	0.183455i
$328$	7.85522	+	2.10480i	0.433732	+	0.116218i
$329$	−17.2722	+	29.9164i	−0.952248	+	1.64934i
$330$	−0.0170447	−	11.1405i	−0.000938278	−	0.613264i
$331$	−32.8247	+	8.79534i	−1.80421	+	0.483436i	−0.994622	−	0.103568i	$-0.966974\pi$
$331$	−32.8247	+	8.79534i	−1.80421	+	0.483436i	−0.809584	+	0.587004i	$0.800307\pi$
$332$	0.431840	−	0.747969i	0.0237003	−	0.0410501i
$333$			1.70257i			0.0933001i
$334$	−10.6044	−	6.12243i	−0.580245	−	0.335004i
$335$	−6.03521	−	10.4165i	−0.329739	−	0.569112i
$336$	−3.63298	−	0.973453i	−0.198195	−	0.0531062i
$337$	20.5522	−	20.5522i	1.11955	−	1.11955i	0.127743	−	0.991807i	$-0.459227\pi$
$337$	20.5522	−	20.5522i	1.11955	−	1.11955i	0.991807	−	0.127743i	$-0.0407732\pi$
$338$	9.34729	−	9.03483i	0.508425	−	0.491430i
$339$			20.3938i			1.10764i
$340$	−3.33213	+	12.5122i	−0.180710	+	0.678570i
$341$	−8.85834	−	15.3431i	−0.479706	−	0.830875i
$342$	0.910792	+	3.39912i	0.0492500	+	0.183804i
$343$	0.549625			0.0296770
$344$	0.161303	+	0.601992i	0.00869689	+	0.0324572i
$345$	11.1818	+	6.43302i	0.602007	+	0.346342i
$346$	1.92409	−	1.92409i	0.103440	−	0.103440i
$347$	−6.54372	+	1.75339i	−0.351285	+	0.0941267i	−0.430147	−	0.902759i	$-0.641538\pi$
$347$	−6.54372	+	1.75339i	−0.351285	+	0.0941267i	0.0788614	+	0.996886i	$0.474872\pi$
$348$	−1.09861	+	4.10006i	−0.0588915	+	0.219786i
$349$	−2.76578	+	10.3220i	−0.148049	+	0.552526i	0.851552	+	0.524271i	$0.175662\pi$
$349$	−2.76578	+	10.3220i	−0.148049	+	0.552526i	−0.999601	+	0.0282557i	$0.991005\pi$
$350$	0.0575443	+	18.8056i	0.00307587	+	1.00520i
$351$	−2.21915	+	2.84172i	−0.118449	+	0.151680i
$352$	3.52294	+	3.52294i	0.187773	+	0.187773i
$353$	−9.68559	−	16.7759i	−0.515512	−	0.892893i	−0.999838	−	0.0180051i	$-0.994268\pi$
$353$	−9.68559	−	16.7759i	−0.515512	−	0.892893i	0.484326	−	0.874888i	$-0.339065\pi$
$354$	4.93287	−	2.84800i	0.262179	−	0.151369i
$355$	6.63500	+	24.6115i	0.352149	+	1.30624i
$356$	−9.81111	−	9.81111i	−0.519988	−	0.519988i
$357$	−18.8616	−	10.8897i	−0.998260	−	0.576346i
$358$	8.99094	+	5.19092i	0.475186	+	0.274349i
$359$	22.5724	+	22.5724i	1.19133	+	1.19133i	0.976695	+	0.214632i	$0.0688552\pi$
$359$	22.5724	+	22.5724i	1.19133	+	1.19133i	0.214632	+	0.976695i	$0.431145\pi$
$360$	1.93820	+	1.11507i	0.102152	+	0.0587693i
$361$	5.72998	−	3.30821i	0.301578	−	0.174116i
$362$	−0.00149362	−	0.00258702i	−7.85027e−5	−	0.000135971i
$363$	−9.77373	−	9.77373i	−0.512988	−	0.512988i
$364$	10.8284	−	8.16367i	0.567562	−	0.427892i
$365$	11.7948	−	0.0180458i	0.617371	−	0.000944561i
$366$	−1.37071	+	5.11557i	−0.0716483	+	0.267395i
$367$	4.08480	−	15.2447i	0.213225	−	0.795766i	−0.773559	−	0.633724i	$-0.781525\pi$
$367$	4.08480	−	15.2447i	0.213225	−	0.795766i	0.986784	−	0.162042i	$-0.0518080\pi$
$368$	−5.57258	+	1.49317i	−0.290491	+	0.0778368i
$369$	5.75042	−	5.75042i	0.299355	−	0.299355i
$370$	−1.89848	+	3.29992i	−0.0986974	+	0.171554i
$371$	−8.30468	−	30.9935i	−0.431157	−	1.60910i
$372$	3.55601			0.184370
$373$	3.22653	+	12.0416i	0.167064	+	0.623490i	0.997768	+	0.0667760i	$0.0212713\pi$
$373$	3.22653	+	12.0416i	0.167064	+	0.623490i	−0.830704	+	0.556714i	$0.812062\pi$
$374$	14.4251	+	24.9849i	0.745902	+	1.29194i
$375$	2.84409	−	10.8125i	0.146868	−	0.558358i
$376$			9.18458i			0.473658i
$377$	−9.21324	−	12.2206i	−0.474506	−	0.629391i
$378$	−2.65952	+	2.65952i	−0.136791	+	0.136791i
$379$	−31.0709	−	8.32543i	−1.59601	−	0.427649i	−0.652173	−	0.758070i	$-0.726142\pi$
$379$	−31.0709	−	8.32543i	−1.59601	−	0.427649i	−0.943833	+	0.330422i	$0.892809\pi$
$380$	−2.02496	+	7.60378i	−0.103878	+	0.390066i
$381$	−10.1618	−	5.86690i	−0.520603	−	0.300570i
$382$			2.78234i			0.142357i
$383$	0.483273	−	0.837053i	0.0246941	−	0.0427714i	−0.853414	−	0.521233i	$-0.825472\pi$
$383$	0.483273	−	0.837053i	0.0246941	−	0.0427714i	0.878108	+	0.478462i	$0.158805\pi$
$384$	−0.965926	+	0.258819i	−0.0492922	+	0.0132078i
$385$	29.6737	+	29.5831i	1.51231	+	1.50769i
$386$	−7.58514	+	13.1378i	−0.386073	+	0.668699i
$387$	0.601992	+	0.161303i	0.0306010	+	0.00819951i
$388$	15.4791	−	8.93684i	0.785831	−	0.453700i
$389$	−12.4738			−0.632446			−0.316223	−	0.948685i	$-0.602415\pi$
$389$	−12.4738			−0.632446			−0.316223	+	0.948685i	$0.602415\pi$
$390$	−7.46987	+	3.03332i	−0.378252	+	0.153598i
$391$	−33.4073			−1.68948
$392$	6.18873	−	3.57307i	0.312578	−	0.180467i
$393$	8.26588	+	2.21484i	0.416958	+	0.111724i
$394$	−10.6561	+	18.4569i	−0.536846	+	0.929845i
$395$	10.4355	−	0.0159661i	0.525067	−	0.000803340i
$396$	4.81242	−	1.28948i	0.241833	−	0.0647990i
$397$	−14.3909	+	24.9257i	−0.722258	+	1.25099i	0.237835	+	0.971306i	$0.423562\pi$
$397$	−14.3909	+	24.9257i	−0.722258	+	1.25099i	−0.960093	+	0.279682i	$0.909771\pi$
$398$		−	8.15916i		−	0.408982i
$399$	−11.4623	−	6.61778i	−0.573834	−	0.331303i
$400$	2.51324	+	4.32246i	0.125662	+	0.216123i
$401$	29.8455	+	7.99709i	1.49042	+	0.399356i	0.909877	−	0.414877i	$-0.136176\pi$
$401$	29.8455	+	7.99709i	1.49042	+	0.399356i	0.580538	+	0.814233i	$0.302842\pi$
$402$	3.80692	−	3.80692i	0.189872	−	0.189872i
$403$	−7.89131	+	10.1052i	−0.393094	+	0.503375i
$404$			4.28113i			0.212994i
$405$	1.93478	−	1.12100i	0.0961399	−	0.0557027i
$406$	−7.98243	−	13.8260i	−0.396161	−	0.686171i
$407$	2.19543	+	8.19347i	0.108824	+	0.406135i
$408$	−5.79066			−0.286680
$409$	5.05270	+	18.8569i	0.249840	+	0.932416i	0.970889	+	0.239531i	$0.0769937\pi$
$409$	5.05270	+	18.8569i	0.249840	+	0.932416i	−0.721049	+	0.692884i	$0.756340\pi$
$410$	17.5576	−	4.73334i	0.867107	−	0.233763i
$411$	12.7992	−	12.7992i	0.631339	−	0.631339i
$412$	−7.86522	+	2.10748i	−0.387492	+	0.103828i
$413$	−5.54478	+	20.6934i	−0.272841	+	1.01826i
$414$	−1.49317	+	5.57258i	−0.0733853	+	0.273878i
$415$	−0.00295476	−	1.93124i	−0.000145043	−	0.0948011i
$416$	1.40804	−	3.31925i	0.0690349	−	0.162740i
$417$	−4.30455	−	4.30455i	−0.210795	−	0.210795i
$418$	8.76623	+	15.1836i	0.428770	+	0.742652i
$419$	22.8482	−	13.1914i	1.11621	−	0.644442i	0.175777	−	0.984430i	$-0.443756\pi$
$419$	22.8482	−	13.1914i	1.11621	−	0.644442i	0.940430	+	0.339988i	$0.110423\pi$
$420$	−8.12024	+	2.18913i	−0.396227	+	0.106819i
$421$	3.11591	+	3.11591i	0.151860	+	0.151860i	0.778948	−	0.627088i	$-0.215753\pi$
$421$	3.11591	+	3.11591i	0.151860	+	0.151860i	−0.627088	+	0.778948i	$0.715753\pi$
$422$	−23.2697	−	13.4348i	−1.13275	−	0.653994i
$423$	7.95408	+	4.59229i	0.386741	+	0.223285i
$424$	−6.03244	−	6.03244i	−0.292961	−	0.292961i
$425$	7.57921	+	27.9437i	0.367646	+	1.35547i
$426$	−9.87230	+	5.69977i	−0.478314	+	0.276155i
$427$	−9.95953	−	17.2504i	−0.481975	−	0.834806i
$428$	2.94608	+	2.94608i	0.142404	+	0.142404i
$429$	−7.01512	+	16.5371i	−0.338693	+	0.798419i
$430$	0.986917	+	0.983901i	0.0475933	+	0.0474479i
$431$	−4.64056	+	17.3188i	−0.223528	+	0.834217i	0.759461	+	0.650552i	$0.225463\pi$
$431$	−4.64056	+	17.3188i	−0.223528	+	0.834217i	−0.982989	+	0.183664i	$0.941204\pi$
$432$	−0.258819	+	0.965926i	−0.0124524	+	0.0464731i
$433$	25.7601	−	6.90240i	1.23795	−	0.331708i	0.420281	−	0.907394i	$-0.361931\pi$
$433$	25.7601	−	6.90240i	1.23795	−	0.331708i	0.817671	+	0.575686i	$0.195265\pi$
$434$	−9.45728	+	9.45728i	−0.453964	+	0.453964i
$435$	2.47058	+	9.16423i	0.118455	+	0.439391i
$436$	−1.71723	−	6.40881i	−0.0822406	−	0.306926i
$437$	−20.3019			−0.971170
$438$	1.36522	+	5.09509i	0.0652330	+	0.243453i
$439$	−1.66483	−	2.88358i	−0.0794582	−	0.137626i	0.823558	−	0.567232i	$-0.191986\pi$
$439$	−1.66483	−	2.88358i	−0.0794582	−	0.137626i	−0.903016	+	0.429606i	$0.858652\pi$
$440$	10.7653	+	2.86691i	0.513215	+	0.136674i
$441$		−	7.14613i		−	0.340292i
$442$	12.8503	−	16.4554i	0.611228	−	0.782706i
$443$	17.4398	−	17.4398i	0.828592	−	0.828592i	−0.158730	−	0.987322i	$-0.550740\pi$
$443$	17.4398	−	17.4398i	0.828592	−	0.828592i	0.987322	+	0.158730i	$0.0507399\pi$
$444$	−1.64455	−	0.440657i	−0.0780471	−	0.0209127i
$445$	−29.9806	−	7.98412i	−1.42121	−	0.378484i
$446$	−14.0273	−	8.09867i	−0.664212	−	0.383483i
$447$		−	12.4130i		−	0.587113i
$448$	1.88057	−	3.25724i	0.0888485	−	0.153890i
$449$	19.0521	−	5.10499i	0.899123	−	0.240919i	0.220483	−	0.975391i	$-0.429237\pi$
$449$	19.0521	−	5.10499i	0.899123	−	0.240919i	0.678640	+	0.734471i	$0.262570\pi$
$450$	4.99998	−	0.0152997i	0.235701	−	0.000721235i
$451$	20.2584	−	35.0885i	0.953929	−	1.65225i
$452$	−19.6989	−	5.27831i	−0.926559	−	0.248271i
$453$	12.9157	−	7.45691i	0.606835	−	0.350356i
$454$	−21.5804			−1.01282
$455$	11.7991	−	27.9335i	0.553152	−	1.30954i
$456$	−3.51903			−0.164794
$457$	−1.72303	+	0.994792i	−0.0806000	+	0.0465344i	−0.539758	−	0.841820i	$-0.681484\pi$
$457$	−1.72303	+	0.994792i	−0.0806000	+	0.0465344i	0.459158	+	0.888354i	$0.348151\pi$
$458$	−12.8855	−	3.45265i	−0.602099	−	0.161332i
$459$	−2.89533	+	5.01486i	−0.135142	+	0.234074i
$460$	−9.10788	+	9.13579i	−0.424657	+	0.425959i
$461$	26.2500	−	7.03368i	1.22259	−	0.327591i	0.410898	−	0.911681i	$-0.365215\pi$
$461$	26.2500	−	7.03368i	1.22259	−	0.327591i	0.811689	+	0.584090i	$0.198549\pi$
$462$	−9.36933	+	16.2282i	−0.435901	+	0.755002i
$463$		−	24.4623i		−	1.13686i	−0.822731	−	0.568430i	$-0.807551\pi$
$463$		−	24.4623i		−	1.13686i	0.822731	−	0.568430i	$-0.192449\pi$
$464$	−3.67601	−	2.12235i	−0.170654	−	0.0985274i
$465$	6.88009	−	3.98627i	0.319056	−	0.184859i
$466$	−11.7855	−	3.15791i	−0.545952	−	0.146287i
$467$	−19.8875	+	19.8875i	−0.920284	+	0.920284i	−0.997049	−	0.0767650i	$-0.975541\pi$
$467$	−19.8875	+	19.8875i	−0.920284	+	0.920284i	0.0767650	+	0.997049i	$0.475541\pi$
$468$	−2.17053	−	2.87903i	−0.100333	−	0.133083i
$469$			20.2492i			0.935020i
$470$	10.2959	+	17.7701i	0.474913	+	0.819675i
$471$	10.2045	+	17.6747i	0.470199	+	0.814408i
$472$	1.47423	+	5.50190i	0.0678570	+	0.253246i
$473$	3.10504			0.142770
$474$	1.20788	+	4.50788i	0.0554799	+	0.207054i
$475$	4.60595	+	16.9816i	0.211335	+	0.779169i
$476$	15.4004	−	15.4004i	0.705876	−	0.705876i
$477$	−8.24046	+	2.20803i	−0.377305	+	0.101099i
$478$	1.52652	−	5.69703i	0.0698212	−	0.260576i
$479$	−0.684672	+	2.55523i	−0.0312834	+	0.116751i	−0.979802	−	0.199970i	$-0.935915\pi$
$479$	−0.684672	+	2.55523i	−0.0312834	+	0.116751i	0.948519	+	0.316722i	$0.102582\pi$
$480$	−1.57872	+	1.58356i	−0.0720583	+	0.0722791i
$481$	4.90173	−	3.69548i	0.223500	−	0.168499i
$482$	14.1623	+	14.1623i	0.645076	+	0.645076i
$483$	−10.8493	−	18.7915i	−0.493660	−	0.855045i
$484$	11.9703	−	6.91107i	0.544106	−	0.314140i
$485$	19.9304	−	34.6428i	0.904993	−	1.57305i
$486$	0.707107	+	0.707107i	0.0320750	+	0.0320750i
$487$	−20.3134	−	11.7279i	−0.920487	−	0.531443i	−0.0366965	−	0.999326i	$-0.511683\pi$
$487$	−20.3134	−	11.7279i	−0.920487	−	0.531443i	−0.883790	+	0.467883i	$0.845017\pi$
$488$	−4.58649	−	2.64801i	−0.207621	−	0.119870i
$489$	5.10434	+	5.10434i	0.230826	+	0.230826i
$490$	7.96844	−	13.8506i	0.359977	−	0.625708i
$491$	5.36184	−	3.09566i	0.241976	−	0.139705i	−0.374108	−	0.927385i	$-0.622051\pi$
$491$	5.36184	−	3.09566i	0.241976	−	0.139705i	0.616085	+	0.787680i	$0.288718\pi$
$492$	4.06616	+	7.04280i	0.183317	+	0.317514i
$493$	−17.3804	−	17.3804i	−0.782773	−	0.782773i
$494$	7.80926	−	10.0001i	0.351355	−	0.449926i
$495$	7.86546	−	7.88957i	0.353526	−	0.354610i
$496$	−0.920362	+	3.43484i	−0.0413255	+	0.154229i
$497$	11.0969	−	41.4143i	0.497765	−	1.85769i
$498$	0.834251	−	0.223537i	0.0373837	−	0.0100169i
$499$	22.7471	−	22.7471i	1.01830	−	1.01830i	0.0184704	−	0.999829i	$-0.494120\pi$
$499$	22.7471	−	22.7471i	1.01830	−	1.01830i	0.999829	−	0.0184704i	$-0.00587966\pi$
$500$	9.70801	+	5.54567i	0.434156	+	0.248010i
$501$	−3.16920	−	11.8276i	−0.141590	−	0.528419i
$502$	−2.96935			−0.132529
$503$	−5.57901	−	20.8211i	−0.248756	−	0.928369i	−0.971458	−	0.237210i	$-0.923767\pi$
$503$	−5.57901	−	20.8211i	−0.248756	−	0.928369i	0.722703	−	0.691159i	$-0.242900\pi$
$504$	−1.88057	−	3.25724i	−0.0837671	−	0.145089i
$505$	4.79913	+	8.28305i	0.213559	+	0.368591i
$506$			28.7430i			1.27778i
$507$	12.9981	+	0.220937i	0.577267	+	0.00981216i
$508$	8.29705	−	8.29705i	0.368122	−	0.368122i
$509$	−7.66864	−	2.05481i	−0.339907	−	0.0910777i	0.0848280	−	0.996396i	$-0.472966\pi$
$509$	−7.66864	−	2.05481i	−0.339907	−	0.0910777i	−0.424735	+	0.905318i	$0.639633\pi$
$510$	−11.2036	+	6.49130i	−0.496106	+	0.287440i
$511$	−17.1814	−	9.91966i	−0.760058	−	0.438820i
$512$		−	1.00000i		−	0.0441942i
$513$	−1.75952	+	3.04757i	−0.0776845	+	0.134554i
$514$	20.7786	−	5.56761i	0.916505	−	0.245577i
$515$	−12.8550	+	12.8944i	−0.566459	+	0.568195i
$516$	−0.311614	+	0.539731i	−0.0137180	+	0.0237603i
$517$	44.2000	+	11.8434i	1.94392	+	0.520871i
$518$	5.54567	−	3.20179i	0.243663	−	0.140679i
$519$	2.72108			0.119442
$520$	−0.996613	−	8.00042i	−0.0437044	−	0.350842i
$521$	−5.20619			−0.228087			−0.114044	−	0.993476i	$-0.536380\pi$
$521$	−5.20619			−0.228087			−0.114044	+	0.993476i	$0.536380\pi$
$522$	−3.67601	+	2.12235i	−0.160895	+	0.0928925i
$523$	25.4964	+	6.83174i	1.11488	+	0.298731i	0.768809	−	0.639478i	$-0.220849\pi$
$523$	25.4964	+	6.83174i	1.11488	+	0.298731i	0.346070	+	0.938209i	$0.387516\pi$
$524$	−4.27873	+	7.41098i	−0.186917	+	0.323750i
$525$	−13.2569	+	13.3382i	−0.578577	+	0.582129i
$526$	−2.18647	+	0.585863i	−0.0953346	+	0.0255448i
$527$	−10.2958	+	17.8329i	−0.448493	+	0.776812i
$528$			4.98218i			0.216822i
$529$	−8.90555	−	5.14162i	−0.387198	−	0.223549i
$530$	−18.4338	−	4.90910i	−0.800712	−	0.213238i
$531$	5.50190	+	1.47423i	0.238762	+	0.0639762i
$532$	9.35895	−	9.35895i	0.405762	−	0.405762i
$533$	−29.0371	−	4.07413i	−1.25774	−	0.176470i
$534$		−	13.8750i		−	0.600430i
$535$	9.00257	+	2.39747i	0.389215	+	0.103652i
$536$	2.69190	+	4.66250i	0.116272	+	0.201390i
$537$	2.68702	+	10.0281i	0.115953	+	0.432744i
$538$	17.8186			0.768212
$539$	−9.21482	−	34.3902i	−0.396910	−	1.48129i
$540$	0.582041	+	2.15899i	0.0250471	+	0.0929080i
$541$	−11.8712	+	11.8712i	−0.510382	+	0.510382i	−0.914644	−	0.404261i	$-0.867529\pi$
$541$	−11.8712	+	11.8712i	−0.510382	+	0.510382i	0.404261	+	0.914644i	$0.367529\pi$
$542$	17.8068	−	4.77131i	0.764867	−	0.204945i
$543$	0.000773153	−	0.00288545i	3.31792e−5	−	0.000123826i
$544$	1.49873	−	5.59335i	0.0642577	−	0.239813i
$545$	−10.5067	−	10.4746i	−0.450058	−	0.448683i
$546$	13.4294	+	1.88425i	0.574726	+	0.0806385i
$547$	21.6851	+	21.6851i	0.927187	+	0.927187i	0.997523	−	0.0703361i	$-0.0224072\pi$
$547$	21.6851	+	21.6851i	0.927187	+	0.927187i	−0.0703361	+	0.997523i	$0.522407\pi$
$548$	9.05042	+	15.6758i	0.386615	+	0.669637i
$549$	−4.58649	+	2.64801i	−0.195747	+	0.113014i
$550$	24.0423	−	6.52102i	1.02517	−	0.278057i
$551$	−10.5622	−	10.5622i	−0.449965	−	0.449965i
$552$	−4.99624	−	2.88458i	−0.212654	−	0.122776i
$553$	−15.2012	−	8.77643i	−0.646422	−	0.373212i
$554$	7.39724	+	7.39724i	0.314278	+	0.314278i
$555$	−3.67582	+	0.990964i	−0.156030	+	0.0420641i
$556$	5.27198	−	3.04378i	0.223582	−	0.129085i
$557$	1.90837	+	3.30540i	0.0808603	+	0.140054i	0.903620	−	0.428336i	$-0.140900\pi$
$557$	1.90837	+	3.30540i	0.0808603	+	0.140054i	−0.822759	+	0.568390i	$0.807567\pi$
$558$	2.51448	+	2.51448i	0.106446	+	0.106446i
$559$	−0.842248	−	2.08326i	−0.0356233	−	0.0881127i
$560$	−0.0128673	−	8.41014i	−0.000543743	−	0.355393i
$561$	−7.46696	+	27.8671i	−0.315255	+	1.17655i
$562$	−5.94928	+	22.2030i	−0.250955	+	0.936577i
$563$	4.06884	−	1.09024i	0.171481	−	0.0459482i	−0.172057	−	0.985087i	$-0.555041\pi$
$563$	4.06884	−	1.09024i	0.171481	−	0.0459482i	0.343538	+	0.939139i	$0.388375\pi$
$564$	−6.49448	+	6.49448i	−0.273467	+	0.273467i
$565$	−44.0300	+	11.8700i	−1.85236	+	0.499376i
$566$	−8.05557	−	30.0638i	−0.338601	−	1.26368i
$567$	−3.76113			−0.157953
$568$	−2.95042	−	11.0111i	−0.123797	−	0.462016i
$569$	−10.2866	−	17.8168i	−0.431235	−	0.746921i	0.565745	−	0.824580i	$-0.308589\pi$
$569$	−10.2866	−	17.8168i	−0.431235	−	0.746921i	−0.996980	+	0.0776595i	$0.975255\pi$
$570$	−6.80855	+	3.94482i	−0.285179	+	0.165230i
$571$		−	0.531359i		−	0.0222367i	−0.999938	−	0.0111183i	$-0.996461\pi$
$571$		−	0.531359i		−	0.0222367i	0.999938	−	0.0111183i	$-0.00353915\pi$
$572$	−14.1580	−	11.0562i	−0.591975	−	0.462283i
$573$	−1.96741	+	1.96741i	−0.0821898	+	0.0821898i
$574$	−29.5445	−	7.91644i	−1.23317	−	0.330426i
$575$	−7.38055	+	27.8856i	−0.307790	+	1.16291i
$576$	−0.866025	−	0.500000i	−0.0360844	−	0.0208333i
$577$			10.8877i			0.453261i	0.973981	+	0.226630i	$0.0727710\pi$
$577$			10.8877i			0.453261i	−0.973981	+	0.226630i	$0.927229\pi$
$578$	8.26588	−	14.3169i	0.343815	−	0.595505i
$579$	−14.6534	+	3.92636i	−0.608973	+	0.163174i
$580$	−9.49140	+	0.0145216i	−0.394109	+	0.000602977i
$581$	−1.62421	+	2.81321i	−0.0673835	+	0.116712i
$582$	17.2647	+	4.62605i	0.715643	+	0.191756i
$583$	−36.8093	+	21.2519i	−1.52449	+	0.880163i
$584$	−5.27482			−0.218274
$585$	−7.42688	−	3.13712i	−0.307064	−	0.129704i
$586$	0.272001			0.0112363
$587$	8.56772	−	4.94658i	0.353628	−	0.204167i	−0.312654	−	0.949867i	$-0.601218\pi$
$587$	8.56772	−	4.94658i	0.353628	−	0.204167i	0.666282	+	0.745700i	$0.267885\pi$
$588$	6.90263	+	1.84956i	0.284660	+	0.0762744i
$589$	−6.25685	+	10.8372i	−0.257809	+	0.446538i
$590$	9.01992	+	8.99236i	0.371344	+	0.370210i
$591$	−20.5860	+	5.51600i	−0.846795	+	0.226898i
$592$	0.851284	−	1.47447i	0.0349875	−	0.0606002i
$593$		−	16.3568i		−	0.671694i	−0.941916	−	0.335847i	$-0.890977\pi$
$593$		−	16.3568i		−	0.671694i	0.941916	−	0.335847i	$-0.109023\pi$
$594$	4.31470	+	2.49109i	0.177034	+	0.102211i
$595$	12.5326	−	47.0601i	0.513786	−	1.92928i
$596$	11.9900	+	3.21271i	0.491129	+	0.131598i
$597$	5.76940	−	5.76940i	0.236126	−	0.236126i
$598$	19.2846	−	7.79661i	0.788605	−	0.318827i
$599$			4.71267i			0.192554i	0.995355	+	0.0962772i	$0.0306935\pi$
$599$			4.71267i			0.192554i	−0.995355	+	0.0962772i	$0.969306\pi$
$600$	−1.27931	+	4.83357i	−0.0522276	+	0.197330i
$601$	7.92625	+	13.7287i	0.323318	+	0.560004i	0.981171	−	0.193143i	$-0.0618682\pi$
$601$	7.92625	+	13.7287i	0.323318	+	0.560004i	−0.657852	+	0.753147i	$0.728535\pi$
$602$	−0.606683	−	2.26417i	−0.0247266	−	0.0922808i
$603$	5.38380			0.219245
$604$	3.85998	+	14.4056i	0.157060	+	0.586157i
$605$	15.4127	−	26.7901i	0.626614	−	1.08917i
$606$	−3.02722	+	3.02722i	−0.122972	+	0.122972i
$607$	−3.75611	+	1.00645i	−0.152456	+	0.0408504i	−0.334240	−	0.942488i	$-0.608480\pi$
$607$	−3.75611	+	1.00645i	−0.152456	+	0.0408504i	0.181784	+	0.983338i	$0.441813\pi$
$608$	0.910792	−	3.39912i	0.0369375	−	0.137853i
$609$	4.13201	−	15.4209i	0.167437	−	0.624885i
$610$	−11.8423	+	0.0181184i	−0.479479	+	0.000733591i
$611$	−4.04328	−	32.8677i	−0.163573	−	1.32969i
$612$	−4.09462	−	4.09462i	−0.165515	−	0.165515i
$613$	14.5000	+	25.1148i	0.585651	+	1.01438i	0.994794	+	0.101906i	$0.0324942\pi$
$613$	14.5000	+	25.1148i	0.585651	+	1.01438i	−0.409143	+	0.912470i	$0.634172\pi$
$614$	−16.9993	+	9.81453i	−0.686035	+	0.396082i
$615$	15.7621	+	9.06811i	0.635588	+	0.365661i
$616$	−13.2502	−	13.2502i	−0.533867	−	0.533867i
$617$	−0.501676	−	0.289643i	−0.0201967	−	0.0116606i	0.489868	−	0.871797i	$-0.337045\pi$
$617$	−0.501676	−	0.289643i	−0.0201967	−	0.0116606i	−0.510064	+	0.860136i	$0.670378\pi$
$618$	−7.05177	−	4.07134i	−0.283664	−	0.163773i
$619$	−0.846805	−	0.846805i	−0.0340360	−	0.0340360i	0.689884	−	0.723920i	$-0.257662\pi$
$619$	−0.846805	−	0.846805i	−0.0340360	−	0.0340360i	−0.723920	+	0.689884i	$0.757662\pi$
$620$	2.06974	+	7.67737i	0.0831228	+	0.308331i
$621$	−4.99624	+	2.88458i	−0.200492	+	0.115754i
$622$	−3.83458	−	6.64169i	−0.153753	−	0.266307i
$623$	36.9009	+	36.9009i	1.47840	+	1.47840i
$624$	3.34270	−	1.35143i	0.133815	−	0.0541004i
$625$	24.9995	−	0.152996i	0.999981	−	0.00611986i
$626$	2.80674	−	10.4749i	0.112180	−	0.418660i
$627$	−4.53773	+	16.9351i	−0.181220	+	0.676321i
$628$	−19.7136	+	5.28224i	−0.786658	+	0.210784i
$629$	6.97136	−	6.97136i	0.277966	−	0.277966i
$630$	−7.28983	−	4.19393i	−0.290434	−	0.167090i
$631$	5.89718	+	22.0086i	0.234763	+	0.876147i	0.978256	+	0.207403i	$0.0665012\pi$
$631$	5.89718	+	22.0086i	0.234763	+	0.876147i	−0.743493	+	0.668744i	$0.766832\pi$
$632$	−4.66690			−0.185640
$633$	−6.95434	−	25.9540i	−0.276410	−	1.03158i
$634$	8.06107	+	13.9622i	0.320146	+	0.554509i
$635$	6.75200	−	25.3539i	0.267945	−	1.00614i
$636$		−	8.53115i		−	0.338282i
$637$	−20.5739	+	15.5109i	−0.815167	+	0.614565i
$638$	−14.9538	+	14.9538i	−0.592025	+	0.592025i
$639$	−11.0111	−	2.95042i	−0.435593	−	0.116717i
$640$	−1.12100	−	1.93478i	−0.0443112	−	0.0764788i
$641$	27.3666	+	15.8001i	1.08092	+	0.624067i	0.931144	−	0.364653i	$-0.118812\pi$
$641$	27.3666	+	15.8001i	1.08092	+	0.624067i	0.149773	+	0.988720i	$0.452146\pi$
$642$			4.16639i			0.164434i
$643$	10.5481	−	18.2698i	0.415976	−	0.720491i	−0.579555	−	0.814933i	$-0.696773\pi$
$643$	10.5481	−	18.2698i	0.415976	−	0.720491i	0.995530	+	0.0944423i	$0.0301068\pi$
$644$	20.9592	−	5.61601i	0.825910	−	0.221302i
$645$	0.00213214	+	1.39358i	8.39529e−5	+	0.0548721i
$646$	10.1888	−	17.6475i	0.400871	−	0.694330i
$647$	−13.1944	−	3.53543i	−0.518726	−	0.138992i	−0.0100486	−	0.999950i	$-0.503199\pi$
$647$	−13.1944	−	3.53543i	−0.518726	−	0.138992i	−0.508677	+	0.860957i	$0.669865\pi$
$648$	−0.866025	+	0.500000i	−0.0340207	+	0.0196419i
$649$	28.3785			1.11395
$650$	−10.8967	−	14.3618i	−0.427402	−	0.563318i
$651$	−13.3746			−0.524193
$652$	−6.25152	+	3.60932i	−0.244828	+	0.141352i
$653$	48.7729	+	13.0687i	1.90863	+	0.511416i	0.994324	+	0.106392i	$0.0339300\pi$
$653$	48.7729	+	13.0687i	1.90863	+	0.511416i	0.914306	+	0.405024i	$0.132737\pi$
$654$	3.31744	−	5.74598i	0.129722	−	0.224686i
$655$	0.0292761	+	19.1351i	0.00114391	+	0.747668i
$656$	−7.85522	+	2.10480i	−0.306695	+	0.0821786i
$657$	−2.63741	+	4.56813i	−0.102895	+	0.178220i
$658$		−	34.5444i		−	1.34668i
$659$	24.7744	+	14.3035i	0.965072	+	0.557184i	0.897730	−	0.440546i	$-0.145215\pi$
$659$	24.7744	+	14.3035i	0.965072	+	0.557184i	0.0673415	+	0.997730i	$0.478548\pi$
$660$	5.58500	+	9.63942i	0.217396	+	0.375214i
$661$	14.3142	+	3.83548i	0.556758	+	0.149183i	0.526217	−	0.850351i	$-0.323610\pi$
$661$	14.3142	+	3.83548i	0.556758	+	0.149183i	0.0305416	+	0.999533i	$0.490277\pi$
$662$	24.0293	−	24.0293i	0.933926	−	0.933926i
$663$	20.7223	−	2.54919i	0.804788	−	0.0990024i
$664$			0.863680i			0.0335173i
$665$	7.61616	−	28.5988i	0.295342	−	1.10902i
$666$	−0.851284	−	1.47447i	−0.0329866	−	0.0571344i
$667$	−6.33804	−	23.6539i	−0.245410	−	0.915882i
$668$	12.2449			0.473768
$669$	−4.19218	−	15.6454i	−0.162079	−	0.604887i
$670$	10.4349	+	6.00331i	0.403134	+	0.231928i
$671$	−18.6576	+	18.6576i	−0.720267	+	0.720267i
$672$	3.63298	−	0.973453i	0.140145	−	0.0375518i
$673$	0.984464	−	3.67407i	0.0379483	−	0.141625i	−0.944353	−	0.328935i	$-0.893310\pi$
$673$	0.984464	−	3.67407i	0.0379483	−	0.141625i	0.982301	+	0.187310i	$0.0599769\pi$
$674$	−7.52263	+	28.0748i	−0.289761	+	1.08140i
$675$	3.54634	+	3.52470i	0.136499	+	0.135666i
$676$	−3.57757	+	12.4980i	−0.137599	+	0.480694i
$677$	−10.7203	−	10.7203i	−0.412015	−	0.412015i	0.470425	−	0.882440i	$-0.344101\pi$
$677$	−10.7203	−	10.7203i	−0.412015	−	0.412015i	−0.882440	+	0.470425i	$0.844101\pi$
$678$	−10.1969	−	17.6616i	−0.391610	−	0.678288i
$679$	−58.2189	+	33.6127i	−2.23423	+	1.28994i
$680$	−3.37040	−	12.5020i	−0.129249	−	0.479429i
$681$	−15.2596	−	15.2596i	−0.584750	−	0.584750i
$682$	15.3431	+	8.85834i	0.587517	+	0.339203i
$683$	−13.6791	−	7.89765i	−0.523417	−	0.302195i	0.214914	−	0.976633i	$-0.431053\pi$
$683$	−13.6791	−	7.89765i	−0.523417	−	0.302195i	−0.738332	+	0.674438i	$0.764386\pi$
$684$	−2.48833	−	2.48833i	−0.0951437	−	0.0951437i
$685$	35.0831	+	20.1837i	1.34045	+	0.771180i
$686$	−0.475989	+	0.274813i	−0.0181734	+	0.0104924i
$687$	−6.67001	−	11.5528i	−0.254477	−	0.440767i
$688$	−0.440689	−	0.440689i	−0.0168011	−	0.0168011i
$689$	24.2432	+	18.9319i	0.923591	+	0.721248i
$690$	−12.9002	+	0.0197370i	−0.491103	+	0.000751375i
$691$	−3.09521	+	11.5515i	−0.117747	+	0.439439i	−0.999478	−	0.0323148i	$-0.989712\pi$
$691$	−3.09521	+	11.5515i	−0.117747	+	0.439439i	0.881731	+	0.471753i	$0.156379\pi$
$692$	−0.704267	+	2.62836i	−0.0267722	+	0.0999153i
$693$	−18.1002	+	4.84992i	−0.687568	+	0.184233i
$694$	4.79034	−	4.79034i	0.181839	−	0.181839i
$695$	6.78805	−	11.7989i	0.257486	−	0.447558i
$696$	−1.09861	−	4.10006i	−0.0416426	−	0.155412i
$697$	−47.0915			−1.78372
$698$	−2.76578	−	10.3220i	−0.104686	−	0.390695i
$699$	−6.10061	−	10.5666i	−0.230746	−	0.399664i
$700$	−9.45263	−	16.2573i	−0.357276	−	0.614470i
$701$			22.5243i			0.850729i	0.905022	+	0.425365i	$0.139854\pi$
$701$			22.5243i			0.850729i	−0.905022	+	0.425365i	$0.860146\pi$
$702$	0.500979	−	3.57058i	0.0189082	−	0.134763i
$703$	4.23655	−	4.23655i	0.159785	−	0.159785i
$704$	−4.81242	−	1.28948i	−0.181375	−	0.0485992i
$705$	−5.28510	+	19.8457i	−0.199048	+	0.747431i
$706$	16.7759	+	9.68559i	0.631370	+	0.364522i
$707$		−	16.1019i		−	0.605575i
$708$	−2.84800	+	4.93287i	−0.107034	+	0.185389i
$709$	−4.86426	+	1.30338i	−0.182681	+	0.0489493i	−0.349000	−	0.937123i	$-0.613479\pi$
$709$	−4.86426	+	1.30338i	−0.182681	+	0.0489493i	0.166319	+	0.986072i	$0.446812\pi$
$710$	−18.0518	−	17.9967i	−0.677473	−	0.675403i
$711$	−2.33345	+	4.04166i	−0.0875113	+	0.151574i
$712$	13.4022	+	3.59112i	0.502270	+	0.134583i
$713$	−17.7667	+	10.2576i	−0.665367	+	0.384150i
$714$	21.7795			0.815076
$715$	−39.7865	−	5.52029i	−1.48793	−	0.206447i
$716$	−10.3818			−0.387988
$717$	5.10782	−	2.94900i	0.190755	−	0.110132i
$718$	−30.8345	−	8.26208i	−1.15073	−	0.308338i
$719$	17.5027	−	30.3156i	0.652741	−	1.13058i	−0.329714	−	0.944081i	$-0.606952\pi$
$719$	17.5027	−	30.3156i	0.652741	−	1.13058i	0.982455	−	0.186500i	$-0.0597144\pi$
$720$	−2.23607	+	0.00342112i	−0.0833332	+	0.000127498i
$721$	29.5822	−	7.92652i	1.10170	−	0.295199i
$722$	−3.30821	+	5.72998i	−0.123119	+	0.213248i
$723$			20.0285i			0.744870i
$724$	0.00258702	+	0.00149362i	9.61458e−5	+	5.55098e-5i
$725$	−18.3475	+	10.6679i	−0.681409	+	0.396197i
$726$	13.3512	+	3.57743i	0.495508	+	0.132771i
$727$	23.3980	−	23.3980i	0.867783	−	0.867783i	−0.124444	−	0.992227i	$-0.539715\pi$
$727$	23.3980	−	23.3980i	0.867783	−	0.867783i	0.992227	+	0.124444i	$0.0397147\pi$
$728$	−5.29584	+	12.4841i	−0.196277	+	0.462693i
$729$			1.00000i			0.0370370i
$730$	−10.2056	+	5.91305i	−0.377727	+	0.218852i
$731$	−1.80445	−	3.12540i	−0.0667400	−	0.115597i
$732$	−1.37071	−	5.11557i	−0.0506630	−	0.189077i
$733$	4.64195			0.171454			0.0857271	−	0.996319i	$-0.472679\pi$
$733$	4.64195			0.171454			0.0857271	+	0.996319i	$0.472679\pi$
$734$	4.08480	+	15.2447i	0.150773	+	0.562692i
$735$	15.4284	−	4.15934i	0.569086	−	0.153420i
$736$	4.07941	−	4.07941i	0.150369	−	0.150369i
$737$	25.9091	−	6.94232i	0.954373	−	0.255724i
$738$	−2.10480	+	7.85522i	−0.0774788	+	0.289155i
$739$	−10.1270	+	37.7945i	−0.372528	+	1.39029i	0.484396	+	0.874849i	$0.339040\pi$
$739$	−10.1270	+	37.7945i	−0.372528	+	1.39029i	−0.856923	+	0.515444i	$0.827627\pi$
$740$	−0.00582469	−	3.80705i	−0.000214120	−	0.139950i
$741$	12.5931	−	1.54916i	0.462620	−	0.0569100i
$742$	22.6888	+	22.6888i	0.832932	+	0.832932i
$743$	1.95703	+	3.38967i	0.0717964	+	0.124355i	0.899689	−	0.436532i	$-0.143793\pi$
$743$	1.95703	+	3.38967i	0.0717964	+	0.124355i	−0.827892	+	0.560887i	$0.810460\pi$
$744$	−3.07959	+	1.77800i	−0.112903	+	0.0651848i
$745$	26.7994	−	7.22485i	0.981855	−	0.264698i
$746$	−8.81505	−	8.81505i	−0.322742	−	0.322742i
$747$	0.747969	+	0.431840i	0.0273667	+	0.0158002i
$748$	−24.9849	−	14.4251i	−0.913540	−	0.527433i
$749$	−11.0806	−	11.0806i	−0.404877	−	0.404877i
$750$	2.94322	+	10.7860i	0.107471	+	0.393848i
$751$	27.1308	−	15.6640i	0.990018	−	0.571587i	0.0847385	−	0.996403i	$-0.472995\pi$
$751$	27.1308	−	15.6640i	0.990018	−	0.571587i	0.905280	+	0.424816i	$0.139661\pi$
$752$	−4.59229	−	7.95408i	−0.167464	−	0.290055i
$753$	−2.09965	−	2.09965i	−0.0765155	−	0.0765155i
$754$	14.0892	+	5.97670i	0.513098	+	0.217659i
$755$	23.6169	+	23.5447i	0.859506	+	0.856880i
$756$	0.973453	−	3.63298i	0.0354042	−	0.132130i
$757$	5.27833	−	19.6990i	0.191844	−	0.715973i	−0.801217	−	0.598374i	$-0.795814\pi$
$757$	5.27833	−	19.6990i	0.191844	−	0.715973i	0.993061	−	0.117599i	$-0.0375196\pi$
$758$	31.0709	−	8.32543i	1.12855	−	0.302393i
$759$	−20.3244	+	20.3244i	−0.737729	+	0.737729i
$760$	−2.04822	−	7.59755i	−0.0742968	−	0.275592i
$761$	−3.01185	−	11.2404i	−0.109180	−	0.407464i	0.889606	−	0.456728i	$-0.150979\pi$
$761$	−3.01185	−	11.2404i	−0.109180	−	0.407464i	−0.998786	+	0.0492648i	$0.984312\pi$
$762$	11.7338			0.425071
$763$	6.45875	+	24.1044i	0.233822	+	0.872637i
$764$	−1.39117	−	2.40958i	−0.0503308	−	0.0871755i
$765$	−12.5122	−	3.33213i	−0.452380	−	0.120473i
$766$			0.966546i			0.0349227i
$767$	−7.69772	−	19.0400i	−0.277949	−	0.687494i
$768$	0.707107	−	0.707107i	0.0255155	−	0.0255155i
$769$	25.8288	+	6.92080i	0.931409	+	0.249570i	0.692455	−	0.721461i	$-0.256529\pi$
$769$	25.8288	+	6.92080i	0.931409	+	0.249570i	0.238954	+	0.971031i	$0.423196\pi$
$770$	−40.4897	−	10.7828i	−1.45915	−	0.388586i
$771$	18.6296	+	10.7558i	0.670928	+	0.387361i
$772$		−	15.1703i		−	0.545990i
$773$	−16.1759	+	28.0174i	−0.581805	+	1.00772i	0.413460	+	0.910522i	$0.364320\pi$
$773$	−16.1759	+	28.0174i	−0.581805	+	1.00772i	−0.995265	+	0.0971942i	$0.969013\pi$
$774$	−0.601992	+	0.161303i	−0.0216382	+	0.00579793i
$775$	12.6108	+	12.5339i	0.452993	+	0.450229i
$776$	−8.93684	+	15.4791i	−0.320814	+	0.555666i
$777$	6.18539	+	1.65737i	0.221900	+	0.0594578i
$778$	10.8026	−	6.23689i	0.387292	−	0.223603i
$779$	−28.6179			−1.02534
$780$	4.95244	−	6.36187i	0.177326	−	0.227791i
$781$	−56.7946			−2.03227
$782$	28.9315	−	16.7036i	1.03459	−	0.597321i
$783$	−4.10006	−	1.09861i	−0.146524	−	0.0392610i
$784$	−3.57307	+	6.18873i	−0.127610	+	0.221026i
$785$	−32.2201	+	32.3188i	−1.14998	+	1.15351i
$786$	−8.26588	+	2.21484i	−0.294834	+	0.0790006i
$787$	−19.8127	+	34.3166i	−0.706246	+	1.22325i	0.259994	+	0.965610i	$0.416279\pi$
$787$	−19.8127	+	34.3166i	−0.706246	+	1.22325i	−0.966240	+	0.257643i	$0.917054\pi$
$788$		−	21.3122i		−	0.759215i
$789$	−1.96034	−	1.13180i	−0.0697898	−	0.0402932i
$790$	−9.02943	+	5.23158i	−0.321253	+	0.186131i
$791$	74.0903	+	19.8524i	2.63435	+	0.705871i
$792$	−3.52294	+	3.52294i	−0.125182	+	0.125182i
$793$	17.5788	+	7.45703i	0.624242	+	0.264807i
$794$		−	28.7818i		−	1.02143i
$795$	−9.56338	−	16.5059i	−0.339178	−	0.585404i
$796$	4.07958	+	7.06604i	0.144597	+	0.250449i
$797$	10.2561	+	38.2764i	0.363291	+	1.35582i	0.869723	+	0.493541i	$0.164298\pi$
$797$	10.2561	+	38.2764i	0.363291	+	1.35582i	−0.506432	+	0.862280i	$0.669036\pi$
$798$	13.2356			0.468533
$799$	−13.7652	−	51.3726i	−0.486979	−	1.81743i
$800$	−4.33776	−	2.48674i	−0.153363	−	0.0879195i
$801$	9.81111	−	9.81111i	0.346659	−	0.346659i
$802$	−29.8455	+	7.99709i	−1.05388	+	0.282387i
$803$	−6.80180	+	25.3847i	−0.240030	+	0.895805i
$804$	−1.39343	+	5.20035i	−0.0491425	+	0.183402i
$805$	34.2560	−	34.3610i	1.20736	−	1.21106i
$806$	1.78149	−	12.6970i	0.0627502	−	0.447233i
$807$	12.5996	+	12.5996i	0.443528	+	0.443528i
$808$	−2.14057	−	3.70757i	−0.0753049	−	0.130432i
$809$	34.6702	−	20.0168i	1.21894	−	0.703754i	0.254247	−	0.967139i	$-0.418172\pi$
$809$	34.6702	−	20.0168i	1.21894	−	0.703754i	0.964691	+	0.263385i	$0.0848390\pi$
$810$	−1.11507	+	1.93820i	−0.0391796	+	0.0681014i
$811$	0.134654	+	0.134654i	0.00472836	+	0.00472836i	0.709467	−	0.704739i	$-0.248936\pi$
$811$	0.134654	+	0.134654i	0.00472836	+	0.00472836i	−0.704739	+	0.709467i	$0.748936\pi$
$812$	13.8260	+	7.98243i	0.485196	+	0.280128i
$813$	15.9651	+	9.21747i	0.559921	+	0.323271i
$814$	−5.99804	−	5.99804i	−0.210231	−	0.210231i
$815$	−8.04928	+	13.9912i	−0.281954	+	0.490089i
$816$	5.01486	−	2.89533i	0.175555	−	0.101357i
$817$	−1.09658	−	1.89933i	−0.0383645	−	0.0664492i
$818$	−13.8042	−	13.8042i	−0.482654	−	0.482654i
$819$	8.16367	+	10.8284i	0.285262	+	0.378375i
$820$	−12.8386	+	12.8780i	−0.448345	+	0.449719i
$821$	−1.46544	+	5.46909i	−0.0511441	+	0.190872i	−0.986772	−	0.162116i	$-0.948168\pi$
$821$	−1.46544	+	5.46909i	−0.0511441	+	0.190872i	0.935628	+	0.352989i	$0.114835\pi$
$822$	−4.68484	+	17.4841i	−0.163403	+	0.609827i
$823$	−48.3934	+	12.9670i	−1.68689	+	0.452000i	−0.969583	−	0.244762i	$-0.921290\pi$
$823$	−48.3934	+	12.9670i	−1.68689	+	0.452000i	−0.717303	+	0.696761i	$0.754624\pi$
$824$	5.75774	−	5.75774i	0.200580	−	0.200580i
$825$	21.6115	+	12.3894i	0.752416	+	0.431343i
$826$	−5.54478	−	20.6934i	−0.192928	−	0.720015i
$827$	−30.5662			−1.06289			−0.531445	−	0.847093i	$-0.678351\pi$
$827$	−30.5662			−1.06289			−0.531445	+	0.847093i	$0.678351\pi$
$828$	−1.49317	−	5.57258i	−0.0518912	−	0.193661i
$829$	5.90667	+	10.2307i	0.205147	+	0.355325i	0.950180	−	0.311703i	$-0.100899\pi$
$829$	5.90667	+	10.2307i	0.205147	+	0.355325i	−0.745032	+	0.667028i	$0.767566\pi$
$830$	0.968181	+	1.67103i	0.0336061	+	0.0580023i
$831$			10.4613i			0.362898i
$832$	0.440224	+	3.57858i	0.0152620	+	0.124065i
$833$	−29.2607	+	29.2607i	−1.01382	+	1.01382i
$834$	5.88013	+	1.57558i	0.203612	+	0.0545577i
$835$	23.6911	−	13.7264i	0.819864	−	0.475023i
$836$	−15.1836	−	8.76623i	−0.525134	−	0.303186i
$837$			3.55601i			0.122914i
$838$	−13.1914	+	22.8482i	−0.455690	+	0.789277i
$839$	13.8724	−	3.71711i	0.478929	−	0.128329i	−0.0112747	−	0.999936i	$-0.503589\pi$
$839$	13.8724	−	3.71711i	0.478929	−	0.128329i	0.490204	+	0.871608i	$0.336922\pi$
$840$	5.93777	−	5.95597i	0.204873	−	0.205500i
$841$	−5.49130	+	9.51121i	−0.189355	+	0.327973i
$842$	−4.25641	−	1.14050i	−0.146686	−	0.0393043i
$843$	−19.9067	+	11.4931i	−0.685622	+	0.395844i
$844$	26.8695			0.924887
$845$	7.08844	+	28.1914i	0.243850	+	0.969813i
$846$	−9.18458			−0.315772
$847$	−45.0220	+	25.9935i	−1.54697	+	0.893146i
$848$	8.24046	+	2.20803i	0.282979	+	0.0758239i
$849$	15.5622	−	26.9545i	0.534092	−	0.925074i
$850$	−20.5356	−	20.4103i	−0.704366	−	0.700069i
$851$	9.48770	−	2.54222i	0.325234	−	0.0871462i
$852$	5.69977	−	9.87230i	0.195271	−	0.338219i
$853$			14.5823i			0.499290i	0.968337	+	0.249645i	$0.0803139\pi$
$853$			14.5823i			0.499290i	−0.968337	+	0.249645i	$0.919686\pi$
$854$	17.2504	+	9.95953i	0.590297	+	0.340808i
$855$	−7.60378	−	2.02496i	−0.260044	−	0.0692523i
$856$	−4.02443	−	1.07834i	−0.137552	−	0.0368570i
$857$	14.3338	−	14.3338i	0.489634	−	0.489634i	−0.418557	−	0.908191i	$-0.637464\pi$
$857$	14.3338	−	14.3338i	0.489634	−	0.489634i	0.908191	+	0.418557i	$0.137464\pi$
$858$	−2.19328	−	17.8291i	−0.0748773	−	0.608676i
$859$		−	29.5931i		−	1.00970i	−0.863206	−	0.504851i	$-0.831547\pi$
$859$		−	29.5931i		−	1.00970i	0.863206	−	0.504851i	$-0.168453\pi$
$860$	−1.34665	−	0.358625i	−0.0459202	−	0.0122290i
$861$	−15.2934	−	26.4889i	−0.521197	−	0.902740i
$862$	−4.64056	−	17.3188i	−0.158058	−	0.589880i
$863$	−35.3652			−1.20385			−0.601923	−	0.798554i	$-0.705599\pi$
$863$	−35.3652			−1.20385			−0.601923	+	0.798554i	$0.705599\pi$
$864$	−0.258819	−	0.965926i	−0.00880520	−	0.0328615i
$865$	1.58378	+	5.87478i	0.0538501	+	0.199748i
$866$	−18.8577	+	18.8577i	−0.640811	+	0.640811i
$867$	15.9685	−	4.27873i	0.542317	−	0.145313i
$868$	3.46161	−	12.9189i	0.117495	−	0.438496i
$869$	−6.01790	+	22.4591i	−0.204143	+	0.761873i
$870$	−6.72171	−	6.70117i	−0.227887	−	0.227191i
$871$	−11.6857	−	15.5001i	−0.395955	−	0.525200i
$872$	4.69157	+	4.69157i	0.158877	+	0.158877i
$873$	8.93684	+	15.4791i	0.302466	+	0.523887i
$874$	17.5819	−	10.1509i	0.594718	−	0.343360i
$875$	−36.5131	−	20.8580i	−1.23437	−	0.705129i
$876$	−3.72986	−	3.72986i	−0.126020	−	0.126020i
$877$	22.5726	+	13.0323i	0.762222	+	0.440069i	0.830093	−	0.557625i	$-0.188287\pi$
$877$	22.5726	+	13.0323i	0.762222	+	0.440069i	−0.0678711	+	0.997694i	$0.521621\pi$
$878$	2.88358	+	1.66483i	0.0973160	+	0.0561854i
$879$	0.192334	+	0.192334i	0.00648725	+	0.00648725i
$880$	−10.7565	+	2.89983i	−0.362601	+	0.0977534i
$881$	−5.95223	+	3.43652i	−0.200536	+	0.115779i	−0.596905	−	0.802312i	$-0.703603\pi$
$881$	−5.95223	+	3.43652i	−0.200536	+	0.115779i	0.396370	+	0.918091i	$0.370270\pi$
$882$	3.57307	+	6.18873i	0.120311	+	0.208385i
$883$	33.6939	+	33.6939i	1.13389	+	1.13389i	0.989524	+	0.144366i	$0.0461142\pi$
$883$	33.6939	+	33.6939i	1.13389	+	1.13389i	0.144366	+	0.989524i	$0.453886\pi$
$884$	−2.90100	+	20.6760i	−0.0975712	+	0.695409i
$885$	0.0194867	+	12.7366i	0.000655038	+	0.428136i
$886$	−6.38343	+	23.8233i	−0.214455	+	0.800358i
$887$	−1.63233	+	6.09194i	−0.0548083	+	0.204547i	−0.987900	−	0.155090i	$-0.950433\pi$
$887$	−1.63233	+	6.09194i	−0.0548083	+	0.204547i	0.933092	+	0.359638i	$0.117100\pi$
$888$	1.64455	−	0.440657i	0.0551876	−	0.0147875i
$889$	−31.2063	+	31.2063i	−1.04663	+	1.04663i
$890$	29.9560	−	8.07582i	1.00413	−	0.270702i
$891$	1.28948	+	4.81242i	0.0431993	+	0.161222i
$892$	16.1973			0.542327
$893$	−8.36524	−	31.2195i	−0.279932	−	1.04472i
$894$	6.20648	+	10.7499i	0.207576	+	0.359532i
$895$	−20.0866	+	11.6380i	−0.671420	+	0.389016i
$896$			3.76113i			0.125651i
$897$	19.1493	+	8.12323i	0.639376	+	0.271227i
$898$	−13.9471	+	13.9471i	−0.465420	+	0.465420i
$899$	−14.5798	−	3.90665i	−0.486264	−	0.130294i
$900$	−4.32246	+	2.51324i	−0.144082	+	0.0837746i
$901$	42.7825	+	24.7005i	1.42529	+	0.822893i
$902$			40.5167i			1.34906i
$903$	1.17202	−	2.03000i	0.0390025	−	0.0675542i
$904$	19.6989	−	5.27831i	0.655176	−	0.175554i
$905$	0.00667965		1.02197e-5i	0.000222039		3.39714e-7i
$906$	−7.45691	+	12.9157i	−0.247739	+	0.429097i
$907$	−19.4898	−	5.22227i	−0.647148	−	0.173403i	−0.0797087	−	0.996818i	$-0.525399\pi$
$907$	−19.4898	−	5.22227i	−0.647148	−	0.173403i	−0.567439	+	0.823416i	$0.692066\pi$
$908$	18.6891	−	10.7902i	0.620221	−	0.358085i
$909$	−4.28113			−0.141996
$910$	3.74840	+	30.0907i	0.124258	+	0.997496i
$911$	−20.6188			−0.683131			−0.341565	−	0.939858i	$-0.610957\pi$
$911$	−20.6188			−0.683131			−0.341565	+	0.939858i	$0.610957\pi$
$912$	3.04757	−	1.75952i	0.100915	−	0.0582634i
$913$	4.15639	+	1.11370i	0.137556	+	0.0368581i
$914$	0.994792	−	1.72303i	0.0329048	−	0.0569928i
$915$	−8.38655	−	8.36093i	−0.277251	−	0.276404i
$916$	12.8855	−	3.45265i	0.425748	−	0.114079i
$917$	16.0929	−	27.8737i	0.531434	−	0.920471i
$918$		−	5.79066i		−	0.191120i
$919$	−27.9054	−	16.1112i	−0.920515	−	0.531460i	−0.0367158	−	0.999326i	$-0.511690\pi$
$919$	−27.9054	−	16.1112i	−0.920515	−	0.531460i	−0.883799	+	0.467866i	$0.845023\pi$
$920$	3.31976	−	12.4658i	0.109449	−	0.410984i
$921$	−18.9602	−	5.08038i	−0.624761	−	0.167404i
$922$	−19.2164	+	19.2164i	−0.632857	+	0.632857i
$923$	15.4057	+	38.1053i	0.507084	+	1.25425i
$924$		−	18.7387i		−	0.616457i
$925$	−4.27896	−	7.35927i	−0.140691	−	0.241971i
$926$	12.2312	+	21.1850i	0.401941	+	0.696182i
$927$	−2.10748	−	7.86522i	−0.0692187	−	0.258328i
$928$	4.24469			0.139339
$929$	8.81881	+	32.9123i	0.289336	+	1.07982i	0.945612	+	0.325296i	$0.105464\pi$
$929$	8.81881	+	32.9123i	0.289336	+	1.07982i	−0.656276	+	0.754521i	$0.727869\pi$
$930$	−3.96520	+	6.89225i	−0.130024	+	0.226006i
$931$	−17.7819	+	17.7819i	−0.582780	+	0.582780i
$932$	11.7855	−	3.15791i	0.386046	−	0.103441i
$933$	1.98492	−	7.40784i	0.0649835	−	0.242522i
$934$	7.27933	−	27.1668i	0.238187	−	0.888926i
$935$	−64.5108	+	0.0986999i	−2.10973	+	0.00322783i
$936$	3.31925	+	1.40804i	0.108493	+	0.0460233i
$937$	9.87270	+	9.87270i	0.322527	+	0.322527i	0.849736	−	0.527209i	$-0.176761\pi$
$937$	9.87270	+	9.87270i	0.322527	+	0.322527i	−0.527209	+	0.849736i	$0.676761\pi$
$938$	−10.1246	−	17.5363i	−0.330580	−	0.572581i
$939$	9.39152	−	5.42220i	0.306481	−	0.176947i
$940$	−17.8015	−	10.2414i	−0.580623	−	0.334039i
$941$	23.0680	+	23.0680i	0.751996	+	0.751996i	0.974851	−	0.222856i	$-0.0715379\pi$
$941$	23.0680	+	23.0680i	0.751996	+	0.751996i	−0.222856	+	0.974851i	$0.571538\pi$
$942$	−17.6747	−	10.2045i	−0.575874	−	0.332481i
$943$	−40.6311	−	23.4584i	−1.32313	−	0.763909i
$944$	−4.02767	−	4.02767i	−0.131090	−	0.131090i
$945$	−2.18913	−	8.12024i	−0.0712125	−	0.264152i
$946$	−2.68904	+	1.55252i	−0.0874282	+	0.0504767i
$947$	16.2868	+	28.2096i	0.529250	+	0.916688i	0.999418	+	0.0341110i	$0.0108600\pi$
$947$	16.2868	+	28.2096i	0.529250	+	0.916688i	−0.470168	+	0.882577i	$0.655807\pi$
$948$	−3.30000	−	3.30000i	−0.107179	−	0.107179i
$949$	18.8764	−	2.32211i	0.612752	−	0.0753788i
$950$	−12.4797	−	12.4035i	−0.404894	−	0.402424i
$951$	−4.17272	+	15.5728i	−0.135310	+	0.504982i
$952$	−5.63694	+	21.0373i	−0.182694	+	0.681824i
$953$	−6.58856	+	1.76540i	−0.213424	+	0.0571869i	−0.363947	−	0.931420i	$-0.618571\pi$
$953$	−6.58856	+	1.76540i	−0.213424	+	0.0571869i	0.150523	+	0.988607i	$0.451904\pi$
$954$	6.03244	−	6.03244i	0.195307	−	0.195307i
$955$	−5.39273	−	3.10251i	−0.174505	−	0.100395i
$956$	1.52652	+	5.69703i	0.0493710	+	0.184255i
$957$	−21.1478			−0.683612
$958$	−0.684672	−	2.55523i	−0.0221207	−	0.0825557i
$959$	−34.0399	−	58.9588i	−1.09920	−	1.90388i
$960$	0.575432	−	2.16076i	0.0185720	−	0.0697382i
$961$		−	18.3548i		−	0.592091i
$962$	−2.39729	+	5.65125i	−0.0772916	+	0.182204i
$963$	−2.94608	+	2.94608i	−0.0949362	+	0.0949362i
$964$	−19.3461	−	5.18377i	−0.623096	−	0.166958i
$965$	−17.0058	−	29.3511i	−0.547436	−	0.944846i
$966$	18.7915	+	10.8493i	0.604608	+	0.349071i
$967$			39.2212i			1.26127i	0.776080	+	0.630634i	$0.217205\pi$
$967$			39.2212i			1.26127i	−0.776080	+	0.630634i	$0.782795\pi$
$968$	−6.91107	+	11.9703i	−0.222130	+	0.384741i
$969$	19.6832	−	5.27409i	0.632315	−	0.169428i
$970$	0.0611481	+	39.9667i	0.00196335	+	1.28325i
$971$	9.50097	−	16.4562i	0.304901	−	0.528104i	−0.672338	−	0.740244i	$-0.734710\pi$
$971$	9.50097	−	16.4562i	0.304901	−	0.528104i	0.977239	+	0.212140i	$0.0680434\pi$
$972$	−0.965926	−	0.258819i	−0.0309821	−	0.00830162i
$973$	−19.8286	+	11.4481i	−0.635677	+	0.367008i
$974$	23.4559			0.751574
$975$	2.45026	−	17.8605i	0.0784710	−	0.571993i
$976$	5.29602			0.169522
$977$	−32.6867	+	18.8717i	−1.04574	+	0.603758i	−0.921454	−	0.388488i	$-0.872998\pi$
$977$	−32.6867	+	18.8717i	−1.04574	+	0.603758i	−0.124286	+	0.992246i	$0.539664\pi$
$978$	−6.97266	−	1.86832i	−0.222961	−	0.0597423i
$979$	34.5639	−	59.8665i	1.10467	−	1.91334i
$980$	0.0244478	+	15.9792i	0.000780956	+	0.510437i
$981$	6.40881	−	1.71723i	0.204617	−	0.0548271i
$982$	−3.09566	+	5.36184i	−0.0987864	+	0.171103i
$983$		−	37.0716i		−	1.18240i	−0.806524	−	0.591201i	$-0.798654\pi$
$983$		−	37.0716i		−	1.18240i	0.806524	−	0.591201i	$-0.201346\pi$
$984$	−7.04280	−	4.06616i	−0.224516	−	0.129624i
$985$	−23.8909	−	41.2344i	−0.761226	−	1.31384i
$986$	23.7420	+	6.36166i	0.756100	+	0.202596i
$987$	24.4266	−	24.4266i	0.777507	−	0.777507i
$988$	−1.76296	+	12.5650i	−0.0560873	+	0.399745i
$989$		−	3.59550i		−	0.114330i
$990$	−2.86691	+	10.7653i	−0.0911163	+	0.342144i
$991$	−11.5529	−	20.0103i	−0.366991	−	0.635647i	0.622103	−	0.782936i	$-0.286279\pi$
$991$	−11.5529	−	20.0103i	−0.366991	−	0.635647i	−0.989094	+	0.147289i	$0.952945\pi$
$992$	−0.920362	−	3.43484i	−0.0292215	−	0.109056i
$993$	33.9826			1.07840
$994$	11.0969	+	41.4143i	0.351973	+	1.31358i
$995$	15.8141	+	9.09804i	0.501340	+	0.288427i
$996$	−0.610714	+	0.610714i	−0.0193512	+	0.0193512i
$997$	−59.9519	+	16.0641i	−1.89870	+	0.508754i	−0.901602	+	0.432568i	$0.857608\pi$
$997$	−59.9519	+	16.0641i	−1.89870	+	0.508754i	−0.997094	+	0.0761863i	$0.975726\pi$
$998$	−8.32601	+	31.0731i	−0.263555	+	0.983602i
$999$	0.440657	−	1.64455i	0.0139418	−	0.0520314i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	390.2.bd.b.37.2	✓	16
5.3	odd	4		390.2.bn.b.193.3	yes	16
13.6	odd	12		390.2.bn.b.97.3	yes	16
65.58	even	12	inner	390.2.bd.b.253.2	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.bd.b.37.2	✓	16	1.1	even	1	trivial
390.2.bd.b.253.2	yes	16	65.58	even	12	inner
390.2.bn.b.97.3	yes	16	13.6	odd	12
390.2.bn.b.193.3	yes	16	5.3	odd	4

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.bd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.00342112 - 2.23607i) q^{5} +(0.965926 - 0.258819i) q^{6} +(-1.88057 + 3.25724i) q^{7} +1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.00342112 - 2.23607i) q^{5} +(0.965926 - 0.258819i) q^{6} +(-1.88057 + 3.25724i) q^{7} +1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +(1.12100 + 1.93478i) q^{10} +(4.81242 + 1.28948i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(-0.440224 - 3.57858i) q^{13} -3.76113i q^{14} +(-0.575432 + 2.16076i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.49873 - 5.59335i) q^{17} -1.00000 q^{18} +(-0.910792 - 3.39912i) q^{19} +(-1.93820 - 1.11507i) q^{20} +(2.65952 - 2.65952i) q^{21} +(-4.81242 + 1.28948i) q^{22} +(1.49317 - 5.57258i) q^{23} +(0.258819 - 0.965926i) q^{24} +(-4.99998 + 0.0152997i) q^{25} +(2.17053 + 2.87903i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(1.88057 + 3.25724i) q^{28} +(3.67601 - 2.12235i) q^{29} +(-0.582041 - 2.15899i) q^{30} +(-2.51448 - 2.51448i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-4.31470 - 2.49109i) q^{33} +(4.09462 + 4.09462i) q^{34} +(7.28983 + 4.19393i) q^{35} +(0.866025 - 0.500000i) q^{36} +(0.851284 + 1.47447i) q^{37} +(2.48833 + 2.48833i) q^{38} +(-0.500979 + 3.57058i) q^{39} +(2.23607 - 0.00342112i) q^{40} +(2.10480 - 7.85522i) q^{41} +(-0.973453 + 3.63298i) q^{42} +(0.601992 - 0.161303i) q^{43} +(3.52294 - 3.52294i) q^{44} +(1.11507 - 1.93820i) q^{45} +(1.49317 + 5.57258i) q^{46} +9.18458 q^{47} +(0.258819 + 0.965926i) q^{48} +(-3.57307 - 6.18873i) q^{49} +(4.32246 - 2.51324i) q^{50} +5.79066i q^{51} +(-3.31925 - 1.40804i) q^{52} +(-6.03244 + 6.03244i) q^{53} +(0.965926 + 0.258819i) q^{54} +(2.86691 - 10.7653i) q^{55} +(-3.25724 - 1.88057i) q^{56} +3.51903i q^{57} +(-2.12235 + 3.67601i) q^{58} +(5.50190 - 1.47423i) q^{59} +(1.58356 + 1.57872i) q^{60} +(-2.64801 + 4.58649i) q^{61} +(3.43484 + 0.920362i) q^{62} +(-3.25724 + 1.88057i) q^{63} -1.00000 q^{64} +(-8.00042 + 0.996613i) q^{65} +4.98218 q^{66} +(4.66250 - 2.69190i) q^{67} +(-5.59335 - 1.49873i) q^{68} +(-2.88458 + 4.99624i) q^{69} +(-8.41014 + 0.0128673i) q^{70} +(-11.0111 + 2.95042i) q^{71} +(-0.500000 + 0.866025i) q^{72} +5.27482i q^{73} +(-1.47447 - 0.851284i) q^{74} +(4.83357 + 1.27931i) q^{75} +(-3.39912 - 0.910792i) q^{76} +(-13.2502 + 13.2502i) q^{77} +(-1.35143 - 3.34270i) q^{78} +4.66690i q^{79} +(-1.93478 + 1.12100i) q^{80} +(0.500000 + 0.866025i) q^{81} +(2.10480 + 7.85522i) q^{82} +0.863680 q^{83} +(-0.973453 - 3.63298i) q^{84} +(-12.5020 + 3.37040i) q^{85} +(-0.440689 + 0.440689i) q^{86} +(-4.10006 + 1.09861i) q^{87} +(-1.28948 + 4.81242i) q^{88} +(3.59112 - 13.4022i) q^{89} +(0.00342112 + 2.23607i) q^{90} +(12.4841 + 5.29584i) q^{91} +(-4.07941 - 4.07941i) q^{92} +(1.77800 + 3.07959i) q^{93} +(-7.95408 + 4.59229i) q^{94} +(-7.59755 + 2.04822i) q^{95} +(-0.707107 - 0.707107i) q^{96} +(15.4791 + 8.93684i) q^{97} +(6.18873 + 3.57307i) q^{98} +(3.52294 + 3.52294i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7	\( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) 16 * q + 8 * q^4 + 4 * q^5 + 4 * q^7 + 12 * q^11 - 8 * q^13 + 12 * q^15 - 8 * q^16 + 16 * q^17 - 16 * q^18 + 4 * q^19 - 4 * q^20 - 12 * q^22 - 4 * q^23 - 4 * q^25 + 4 * q^26 - 4 * q^28 + 48 * q^29 - 8 * q^30 + 16 * q^31 + 20 * q^34 + 12 * q^35 + 20 * q^37 - 4 * q^38 - 4 * q^39 - 12 * q^41 + 4 * q^43 + 12 * q^44 - 4 * q^46 - 64 * q^47 + 4 * q^49 + 16 * q^50 - 16 * q^52 + 32 * q^53 - 44 * q^55 - 24 * q^56 - 12 * q^58 - 4 * q^59 + 12 * q^60 + 4 * q^61 - 20 * q^62 - 24 * q^63 - 16 * q^64 - 8 * q^65 + 32 * q^66 - 36 * q^67 - 4 * q^68 - 4 * q^69 - 36 * q^71 - 8 * q^72 - 12 * q^74 + 8 * q^76 - 4 * q^77 - 12 * q^78 - 8 * q^80 + 8 * q^81 - 12 * q^82 + 24 * q^83 - 52 * q^85 + 16 * q^86 - 12 * q^87 + 24 * q^89 - 4 * q^90 - 8 * q^92 - 36 * q^94 - 44 * q^95 + 60 * q^97 + 12 * q^99

Introduction

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