LMFDB - Embedded newform 370.2.q.c.97.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(97,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 5]))

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

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

chi := DirichletCharacter("370.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.q (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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{12})$
Coefficient field:	$\Q(\zeta_{24})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{4} + 1 $ x^8 - x^4 + 1
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.2
Root			$0.965926 - 0.258819i$ of defining polynomial
Character	$\chi$	$=$	370.97
Dual form			370.2.q.c.103.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(0.758819 - 2.83195i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.917738 - 2.03906i) q^{5} +(-2.07313 - 2.07313i) q^{6} +(-0.490870 + 1.83195i) q^{7} -1.00000 q^{8} +(-4.84607 - 2.79788i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(0.758819 - 2.83195i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.917738 - 2.03906i) q^{5} +(-2.07313 - 2.07313i) q^{6} +(-0.490870 + 1.83195i) q^{7} -1.00000 q^{8} +(-4.84607 - 2.79788i) q^{9} +(-1.30701 - 1.81431i) q^{10} +0.0963763i q^{11} +(-2.83195 + 0.758819i) q^{12} +(1.59077 + 2.75529i) q^{13} +(1.34108 + 1.34108i) q^{14} +(-5.07812 - 4.14626i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.73936 + 2.15892i) q^{17} +(-4.84607 + 2.79788i) q^{18} +(4.71209 + 1.26260i) q^{19} +(-2.22474 + 0.224745i) q^{20} +(4.81552 + 2.78024i) q^{21} +(0.0834643 + 0.0481882i) q^{22} +1.96713 q^{23} +(-0.758819 + 2.83195i) q^{24} +(-3.31552 - 3.74264i) q^{25} +3.18154 q^{26} +(-5.38134 + 5.38134i) q^{27} +(1.83195 - 0.490870i) q^{28} +(-3.50731 - 3.50731i) q^{29} +(-6.12983 + 2.32465i) q^{30} +(-3.04989 + 3.04989i) q^{31} +(0.500000 + 0.866025i) q^{32} +(0.272933 + 0.0731322i) q^{33} +(3.73936 - 2.15892i) q^{34} +(3.28497 + 2.68216i) q^{35} +5.59575i q^{36} +(-5.72620 + 2.05197i) q^{37} +(3.44949 - 3.44949i) q^{38} +(9.00997 - 2.41421i) q^{39} +(-0.917738 + 2.03906i) q^{40} +(7.68482 - 4.43684i) q^{41} +(4.81552 - 2.78024i) q^{42} -7.57749 q^{43} +(0.0834643 - 0.0481882i) q^{44} +(-10.1525 + 7.31369i) q^{45} +(0.983564 - 1.70358i) q^{46} +(-9.56288 - 9.56288i) q^{47} +(2.07313 + 2.07313i) q^{48} +(2.94709 + 1.70150i) q^{49} +(-4.89898 + 1.00000i) q^{50} +(8.95145 - 8.95145i) q^{51} +(1.59077 - 2.75529i) q^{52} +(-0.388390 - 1.44949i) q^{53} +(1.96971 + 7.35105i) q^{54} +(0.196517 + 0.0884482i) q^{55} +(0.490870 - 1.83195i) q^{56} +(7.15125 - 12.3863i) q^{57} +(-4.79107 + 1.28376i) q^{58} +(2.98174 + 11.1280i) q^{59} +(-1.05171 + 6.47091i) q^{60} +(9.90775 + 2.65477i) q^{61} +(1.11634 + 4.16622i) q^{62} +(7.50436 - 7.50436i) q^{63} +1.00000 q^{64} +(7.07812 - 0.715035i) q^{65} +(0.199801 - 0.199801i) q^{66} +(-6.88865 - 1.84581i) q^{67} -4.31784i q^{68} +(1.49269 - 5.57081i) q^{69} +(3.96530 - 1.50378i) q^{70} +(-0.958620 - 1.66038i) q^{71} +(4.84607 + 2.79788i) q^{72} +(4.62863 + 4.62863i) q^{73} +(-1.08604 + 5.98502i) q^{74} +(-13.1149 + 6.54939i) q^{75} +(-1.26260 - 4.71209i) q^{76} +(-0.176557 - 0.0473082i) q^{77} +(2.41421 - 9.00997i) q^{78} +(-2.89329 - 0.775255i) q^{79} +(1.30701 + 1.81431i) q^{80} +(2.76260 + 4.78497i) q^{81} -8.87367i q^{82} +(3.32377 + 12.4045i) q^{83} -5.56048i q^{84} +(7.83391 - 5.64344i) q^{85} +(-3.78875 + 6.56230i) q^{86} +(-12.5939 + 7.27111i) q^{87} -0.0963763i q^{88} +(4.69445 - 1.25787i) q^{89} +(1.25762 + 12.4491i) q^{90} +(-5.82843 + 1.56172i) q^{91} +(-0.983564 - 1.70358i) q^{92} +(6.32282 + 10.9514i) q^{93} +(-13.0631 + 3.50026i) q^{94} +(6.89898 - 8.44949i) q^{95} +(2.83195 - 0.758819i) q^{96} -17.6729i q^{97} +(2.94709 - 1.70150i) q^{98} +(0.269649 - 0.467046i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{2} + 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} + 12 q^{7} - 8 q^{8} - 12 q^{9}+O(q^{10}) $ 8 * q + 4 * q^2 + 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 + 12 * q^7 - 8 * q^8 - 12 * q^9	$ 8 q + 4 q^{2} + 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} + 12 q^{7} - 8 q^{8} - 12 q^{9} - 4 q^{10} - 8 q^{12} - 4 q^{13} + 12 q^{14} - 4 q^{16} + 12 q^{17} - 12 q^{18} + 4 q^{19} - 8 q^{20} + 12 q^{21} - 12 q^{22} - 8 q^{23} - 4 q^{24} - 8 q^{26} - 8 q^{27} - 24 q^{29} - 12 q^{30} - 8 q^{31} + 4 q^{32} - 12 q^{33} + 12 q^{34} + 8 q^{38} + 16 q^{39} - 4 q^{40} + 12 q^{41} + 12 q^{42} + 16 q^{43} - 12 q^{44} - 12 q^{45} - 4 q^{46} - 8 q^{47} + 4 q^{48} + 36 q^{49} + 20 q^{51} - 4 q^{52} + 16 q^{53} - 4 q^{54} + 16 q^{55} - 12 q^{56} + 4 q^{57} - 24 q^{58} - 8 q^{59} - 12 q^{60} + 20 q^{62} - 4 q^{63} + 8 q^{64} + 16 q^{65} - 16 q^{67} + 16 q^{69} - 12 q^{70} - 4 q^{71} + 12 q^{72} + 16 q^{73} - 20 q^{75} + 4 q^{76} + 4 q^{77} + 8 q^{78} - 32 q^{79} + 4 q^{80} + 8 q^{81} + 16 q^{85} + 8 q^{86} - 36 q^{87} + 8 q^{89} + 24 q^{90} - 24 q^{91} + 4 q^{92} + 20 q^{93} - 16 q^{94} + 16 q^{95} + 8 q^{96} + 36 q^{98} + 4 q^{99}+O(q^{100}) $ 8 * q + 4 * q^2 + 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 + 12 * q^7 - 8 * q^8 - 12 * q^9 - 4 * q^10 - 8 * q^12 - 4 * q^13 + 12 * q^14 - 4 * q^16 + 12 * q^17 - 12 * q^18 + 4 * q^19 - 8 * q^20 + 12 * q^21 - 12 * q^22 - 8 * q^23 - 4 * q^24 - 8 * q^26 - 8 * q^27 - 24 * q^29 - 12 * q^30 - 8 * q^31 + 4 * q^32 - 12 * q^33 + 12 * q^34 + 8 * q^38 + 16 * q^39 - 4 * q^40 + 12 * q^41 + 12 * q^42 + 16 * q^43 - 12 * q^44 - 12 * q^45 - 4 * q^46 - 8 * q^47 + 4 * q^48 + 36 * q^49 + 20 * q^51 - 4 * q^52 + 16 * q^53 - 4 * q^54 + 16 * q^55 - 12 * q^56 + 4 * q^57 - 24 * q^58 - 8 * q^59 - 12 * q^60 + 20 * q^62 - 4 * q^63 + 8 * q^64 + 16 * q^65 - 16 * q^67 + 16 * q^69 - 12 * q^70 - 4 * q^71 + 12 * q^72 + 16 * q^73 - 20 * q^75 + 4 * q^76 + 4 * q^77 + 8 * q^78 - 32 * q^79 + 4 * q^80 + 8 * q^81 + 16 * q^85 + 8 * q^86 - 36 * q^87 + 8 * q^89 + 24 * q^90 - 24 * q^91 + 4 * q^92 + 20 * q^93 - 16 * q^94 + 16 * q^95 + 8 * q^96 + 36 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{4}\right)$

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
$3$	0.758819	−	2.83195i	0.438104	−	1.63503i	−0.295422	−	0.955367i	$-0.595460\pi$
$3$	0.758819	−	2.83195i	0.438104	−	1.63503i	0.733526	−	0.679661i	$-0.237873\pi$
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	0.917738	−	2.03906i	0.410425	−	0.911894i
$5$	0.917738	−	2.03906i	0.410425	−	0.911894i
$6$	−2.07313	−	2.07313i	−0.846353	−	0.846353i
$7$	−0.490870	+	1.83195i	−0.185531	+	0.692412i	0.808985	+	0.587830i	$0.200017\pi$
$7$	−0.490870	+	1.83195i	−0.185531	+	0.692412i	−0.994516	+	0.104583i	$0.966649\pi$
$8$	−1.00000			−0.353553
$9$	−4.84607	−	2.79788i	−1.61536	−	0.932626i
$10$	−1.30701	−	1.81431i	−0.413312	−	0.573736i
$11$			0.0963763i			0.0290586i	0.999894	+	0.0145293i	$0.00462498\pi$
$11$			0.0963763i			0.0290586i	−0.999894	+	0.0145293i	$0.995375\pi$
$12$	−2.83195	+	0.758819i	−0.817514	+	0.219052i
$13$	1.59077	+	2.75529i	0.441200	+	0.764181i	0.997779	−	0.0666137i	$-0.0212195\pi$
$13$	1.59077	+	2.75529i	0.441200	+	0.764181i	−0.556579	+	0.830795i	$0.687886\pi$
$14$	1.34108	+	1.34108i	0.358419	+	0.358419i
$15$	−5.07812	−	4.14626i	−1.31116	−	1.07056i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	3.73936	+	2.15892i	0.906927	+	0.523615i	0.879441	−	0.476008i	$-0.157916\pi$
$17$	3.73936	+	2.15892i	0.906927	+	0.523615i	0.0274860	+	0.999622i	$0.491250\pi$
$18$	−4.84607	+	2.79788i	−1.14223	+	0.659466i
$19$	4.71209	+	1.26260i	1.08103	+	0.289661i	0.755017	−	0.655705i	$-0.227629\pi$
$19$	4.71209	+	1.26260i	1.08103	+	0.289661i	0.326011	+	0.945366i	$0.394295\pi$
$20$	−2.22474	+	0.224745i	−0.497468	+	0.0502545i
$21$	4.81552	+	2.78024i	1.05083	+	0.606698i
$22$	0.0834643	+	0.0481882i	0.0177947	+	0.0102737i
$23$	1.96713			0.410175			0.205087	−	0.978744i	$-0.434252\pi$
$23$	1.96713			0.410175			0.205087	+	0.978744i	$0.434252\pi$
$24$	−0.758819	+	2.83195i	−0.154893	+	0.578070i
$25$	−3.31552	−	3.74264i	−0.663103	−	0.748528i
$26$	3.18154			0.623951
$27$	−5.38134	+	5.38134i	−1.03564	+	1.03564i
$28$	1.83195	−	0.490870i	0.346206	−	0.0927657i
$29$	−3.50731	−	3.50731i	−0.651290	−	0.651290i	0.302013	−	0.953304i	$-0.402341\pi$
$29$	−3.50731	−	3.50731i	−0.651290	−	0.651290i	−0.953304	+	0.302013i	$0.902341\pi$
$30$	−6.12983	+	2.32465i	−1.11915	+	0.424420i
$31$	−3.04989	+	3.04989i	−0.547776	+	0.547776i	−0.925797	−	0.378021i	$-0.876605\pi$
$31$	−3.04989	+	3.04989i	−0.547776	+	0.547776i	0.378021	+	0.925797i	$0.376605\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	0.272933	+	0.0731322i	0.0475115	+	0.0127307i
$34$	3.73936	−	2.15892i	0.641294	−	0.370251i
$35$	3.28497	+	2.68216i	0.555260	+	0.453368i
$36$			5.59575i			0.932626i
$37$	−5.72620	+	2.05197i	−0.941382	+	0.337342i
$37$	−5.72620	+	2.05197i	−0.941382	+	0.337342i
$38$	3.44949	−	3.44949i	0.559581	−	0.559581i
$39$	9.00997	−	2.41421i	1.44275	−	0.386584i
$40$	−0.917738	+	2.03906i	−0.145107	+	0.322403i
$41$	7.68482	−	4.43684i	1.20017	−	0.692917i	0.239575	−	0.970878i	$-0.422992\pi$
$41$	7.68482	−	4.43684i	1.20017	−	0.692917i	0.960593	+	0.277960i	$0.0896584\pi$
$42$	4.81552	−	2.78024i	0.743050	−	0.429000i
$43$	−7.57749			−1.15556			−0.577778	−	0.816194i	$-0.696080\pi$
$43$	−7.57749			−1.15556			−0.577778	+	0.816194i	$0.696080\pi$
$44$	0.0834643	−	0.0481882i	0.0125827	−	0.00726464i
$45$	−10.1525	+	7.31369i	−1.51344	+	1.09026i
$46$	0.983564	−	1.70358i	0.145019	−	0.251180i
$47$	−9.56288	−	9.56288i	−1.39489	−	1.39489i	−0.813938	−	0.580952i	$-0.802681\pi$
$47$	−9.56288	−	9.56288i	−1.39489	−	1.39489i	−0.580952	−	0.813938i	$-0.697319\pi$
$48$	2.07313	+	2.07313i	0.299231	+	0.299231i
$49$	2.94709	+	1.70150i	0.421012	+	0.243072i
$50$	−4.89898	+	1.00000i	−0.692820	+	0.141421i
$51$	8.95145	−	8.95145i	1.25345	−	1.25345i
$52$	1.59077	−	2.75529i	0.220600	−	0.382091i
$53$	−0.388390	−	1.44949i	−0.0533494	−	0.199103i	0.934107	−	0.356992i	$-0.116198\pi$
$53$	−0.388390	−	1.44949i	−0.0533494	−	0.199103i	−0.987457	+	0.157889i	$0.949531\pi$
$54$	1.96971	+	7.35105i	0.268043	+	1.00035i
$55$	0.196517	+	0.0884482i	0.0264983	+	0.0119263i
$56$	0.490870	−	1.83195i	0.0655952	−	0.244805i
$57$	7.15125	−	12.3863i	0.947206	−	1.64061i
$58$	−4.79107	+	1.28376i	−0.629098	+	0.168566i
$59$	2.98174	+	11.1280i	0.388189	+	1.44874i	0.833077	+	0.553156i	$0.186577\pi$
$59$	2.98174	+	11.1280i	0.388189	+	1.44874i	−0.444888	+	0.895586i	$0.646756\pi$
$60$	−1.05171	+	6.47091i	−0.135775	+	0.835391i
$61$	9.90775	+	2.65477i	1.26856	+	0.339909i	0.829478	−	0.558540i	$-0.188638\pi$
$61$	9.90775	+	2.65477i	1.26856	+	0.339909i	0.439079	+	0.898448i	$0.355305\pi$
$62$	1.11634	+	4.16622i	0.141775	+	0.529111i
$63$	7.50436	−	7.50436i	0.945461	−	0.945461i
$64$	1.00000			0.125000
$65$	7.07812	−	0.715035i	0.877932	−	0.0886892i
$66$	0.199801	−	0.199801i	0.0245938	−	0.0245938i
$67$	−6.88865	−	1.84581i	−0.841582	−	0.225501i	−0.187822	−	0.982203i	$-0.560143\pi$
$67$	−6.88865	−	1.84581i	−0.841582	−	0.225501i	−0.653760	+	0.756702i	$0.726809\pi$
$68$		−	4.31784i		−	0.523615i
$69$	1.49269	−	5.57081i	0.179699	−	0.670647i
$70$	3.96530	−	1.50378i	0.473944	−	0.179736i
$71$	−0.958620	−	1.66038i	−0.113767	−	0.197051i	0.803519	−	0.595279i	$-0.202958\pi$
$71$	−0.958620	−	1.66038i	−0.113767	−	0.197051i	−0.917286	+	0.398228i	$0.869625\pi$
$72$	4.84607	+	2.79788i	0.571114	+	0.329733i
$73$	4.62863	+	4.62863i	0.541740	+	0.541740i	0.924039	−	0.382299i	$-0.124868\pi$
$73$	4.62863	+	4.62863i	0.541740	+	0.541740i	−0.382299	+	0.924039i	$0.624868\pi$
$74$	−1.08604	+	5.98502i	−0.126250	+	0.695745i
$75$	−13.1149	+	6.54939i	−1.51437	+	0.756258i
$76$	−1.26260	−	4.71209i	−0.144830	−	0.540514i
$77$	−0.176557	−	0.0473082i	−0.0201205	−	0.00539127i
$78$	2.41421	−	9.00997i	0.273356	−	1.02018i
$79$	−2.89329	−	0.775255i	−0.325521	−	0.0872230i	0.0923579	−	0.995726i	$-0.470560\pi$
$79$	−2.89329	−	0.775255i	−0.325521	−	0.0872230i	−0.417879	+	0.908503i	$0.637226\pi$
$80$	1.30701	+	1.81431i	0.146128	+	0.202846i
$81$	2.76260	+	4.78497i	0.306956	+	0.531663i
$82$		−	8.87367i		−	0.979933i
$83$	3.32377	+	12.4045i	0.364831	+	1.36157i	0.867650	+	0.497175i	$0.165629\pi$
$83$	3.32377	+	12.4045i	0.364831	+	1.36157i	−0.502820	+	0.864391i	$0.667704\pi$
$84$		−	5.56048i		−	0.606698i
$85$	7.83391	−	5.64344i	0.849707	−	0.612117i
$86$	−3.78875	+	6.56230i	−0.408551	+	0.707631i
$87$	−12.5939	+	7.27111i	−1.35021	+	0.779545i
$88$		−	0.0963763i		−	0.0102737i
$89$	4.69445	−	1.25787i	0.497611	−	0.133334i	−0.00128006	−	0.999999i	$-0.500407\pi$
$89$	4.69445	−	1.25787i	0.497611	−	0.133334i	0.498891	+	0.866665i	$0.333741\pi$
$90$	1.25762	+	12.4491i	0.132564	+	1.31225i
$91$	−5.82843	+	1.56172i	−0.610985	+	0.163713i
$92$	−0.983564	−	1.70358i	−0.102544	−	0.177611i
$93$	6.32282	+	10.9514i	0.655646	+	1.13561i
$94$	−13.0631	+	3.50026i	−1.34736	+	0.361024i
$95$	6.89898	−	8.44949i	0.707820	−	0.866899i
$96$	2.83195	−	0.758819i	0.289035	−	0.0774466i
$97$		−	17.6729i		−	1.79441i	−0.441616	−	0.897204i	$-0.645595\pi$
$97$		−	17.6729i		−	1.79441i	0.441616	−	0.897204i	$-0.354405\pi$
$98$	2.94709	−	1.70150i	0.297701	−	0.171878i
$99$	0.269649	−	0.467046i	0.0271008	−	0.0469399i
$100$	−1.58346	+	4.74264i	−0.158346	+	0.474264i
$101$		−	7.17914i		−	0.714351i	−0.934037	−	0.357175i	$-0.883740\pi$
$101$		−	7.17914i		−	0.714351i	0.934037	−	0.357175i	$-0.116260\pi$
$102$	−3.27646	−	12.2279i	−0.324418	−	1.21074i
$103$			8.90190i			0.877130i	0.898699	+	0.438565i	$0.144513\pi$
$103$			8.90190i			0.877130i	−0.898699	+	0.438565i	$0.855487\pi$
$104$	−1.59077	−	2.75529i	−0.155988	−	0.270179i
$105$	10.0884	−	7.26758i	0.984532	−	0.709244i
$106$	−1.44949	−	0.388390i	−0.140787	−	0.0377237i
$107$	−3.19041	+	11.9068i	−0.308429	+	1.15107i	0.621525	+	0.783395i	$0.286514\pi$
$107$	−3.19041	+	11.9068i	−0.308429	+	1.15107i	−0.929953	+	0.367677i	$0.880153\pi$
$108$	7.35105	+	1.96971i	0.707355	+	0.189535i
$109$	1.44659	+	5.39874i	0.138558	+	0.517105i	0.999958	+	0.00917807i	$0.00292151\pi$
$109$	1.44659	+	5.39874i	0.138558	+	0.517105i	−0.861400	+	0.507927i	$0.830412\pi$
$110$	0.174857	−	0.125965i	0.0166719	−	0.0120102i
$111$	1.46593	+	17.7734i	0.139140	+	1.68698i
$112$	−1.34108	−	1.34108i	−0.126720	−	0.126720i
$113$	13.6766	+	7.89621i	1.28659	+	0.742813i	0.978044	−	0.208397i	$-0.0668245\pi$
$113$	13.6766	+	7.89621i	1.28659	+	0.742813i	0.308546	+	0.951210i	$0.400158\pi$
$114$	−7.15125	−	12.3863i	−0.669776	−	1.16009i
$115$	1.80531	−	4.01109i	0.168346	−	0.374036i
$116$	−1.28376	+	4.79107i	−0.119194	+	0.444840i
$117$		−	17.8031i		−	1.64590i
$118$	11.1280	+	2.98174i	1.02442	+	0.274491i
$119$	−5.79057	+	5.79057i	−0.530821	+	0.530821i
$120$	5.07812	+	4.14626i	0.463566	+	0.378500i
$121$	10.9907			0.999156
$122$	7.25297	−	7.25297i	0.656653	−	0.656653i
$123$	−6.73351	−	25.1298i	−0.607140	−	2.26588i
$124$	4.16622	+	1.11634i	0.374138	+	0.100250i
$125$	−10.6742	+	3.32577i	−0.954733	+	0.297465i
$126$	−2.74679	−	10.2511i	−0.244703	−	0.913245i
$127$	−8.94364	+	2.39644i	−0.793620	+	0.212650i	−0.632781	−	0.774331i	$-0.718087\pi$
$127$	−8.94364	+	2.39644i	−0.793620	+	0.212650i	−0.160839	+	0.986981i	$0.551420\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	−5.74995	+	21.4591i	−0.506255	+	1.88937i
$130$	2.91982	−	6.48735i	0.256085	−	0.568978i
$131$	−2.10124	−	7.84192i	−0.183586	−	0.685152i	−0.994929	−	0.100581i	$-0.967930\pi$
$131$	−2.10124	−	7.84192i	−0.183586	−	0.685152i	0.811343	−	0.584570i	$-0.198737\pi$
$132$	−0.0731322	−	0.272933i	−0.00636534	−	0.0237558i
$133$	−4.62605	+	8.01255i	−0.401129	+	0.694776i
$134$	−5.04284	+	5.04284i	−0.435635	+	0.435635i
$135$	6.03421	+	15.9115i	0.519342	+	1.36945i
$136$	−3.73936	−	2.15892i	−0.320647	−	0.185126i
$137$	14.7296	+	14.7296i	1.25844	+	1.25844i	0.951839	+	0.306597i	$0.0991904\pi$
$137$	14.7296	+	14.7296i	1.25844	+	1.25844i	0.306597	+	0.951839i	$0.400810\pi$
$138$	−4.07812	−	4.07812i	−0.347152	−	0.347152i
$139$	1.81734	−	3.14772i	0.154145	−	0.266986i	−0.778603	−	0.627517i	$-0.784071\pi$
$139$	1.81734	−	3.14772i	0.154145	−	0.266986i	0.932747	+	0.360531i	$0.117404\pi$
$140$	0.680339	−	4.18594i	0.0574991	−	0.353777i
$141$	−34.3381	+	19.8251i	−2.89179	+	1.66958i
$142$	−1.91724			−0.160891
$143$	−0.265545	+	0.153313i	−0.0222060	+	0.0128206i
$144$	4.84607	−	2.79788i	0.403839	−	0.233156i
$145$	−10.3704	+	3.93281i	−0.861214	+	0.326602i
$146$	6.32282	−	1.69419i	0.523280	−	0.140213i
$147$	7.05487	−	7.05487i	0.581876	−	0.581876i
$148$	4.64016	+	3.93305i	0.381419	+	0.323295i
$149$			13.9060i			1.13923i	0.821913	+	0.569613i	$0.192907\pi$
$149$			13.9060i			1.13923i	−0.821913	+	0.569613i	$0.807093\pi$
$150$	−0.885488	+	14.6325i	−0.0722998	+	1.19474i
$151$	3.54504	−	2.04673i	0.288491	−	0.166560i	−0.348770	−	0.937208i	$-0.613401\pi$
$151$	3.54504	−	2.04673i	0.288491	−	0.166560i	0.637261	+	0.770648i	$0.280067\pi$
$152$	−4.71209	−	1.26260i	−0.382201	−	0.102410i
$153$	−12.0808	−	20.9245i	−0.976673	−	1.69165i
$154$	−0.129248	+	0.129248i	−0.0104151	+	0.0104151i
$155$	3.41990	+	9.01790i	0.274693	+	0.724335i
$156$	−6.59575	−	6.59575i	−0.528083	−	0.528083i
$157$	−17.5716	+	4.70831i	−1.40237	+	0.375764i	−0.879195	−	0.476461i	$-0.841919\pi$
$157$	−17.5716	+	4.70831i	−1.40237	+	0.375764i	−0.523175	+	0.852225i	$0.675253\pi$
$158$	−2.11804	+	2.11804i	−0.168502	+	0.168502i
$159$	−4.39960			−0.348911
$160$	2.22474	−	0.224745i	0.175882	−	0.0177676i
$161$	−0.965604	+	3.60368i	−0.0761002	+	0.284010i
$162$	5.52520			0.434101
$163$	−5.45854	−	3.15149i	−0.427546	−	0.246844i	0.270755	−	0.962648i	$-0.412727\pi$
$163$	−5.45854	−	3.15149i	−0.427546	−	0.246844i	−0.698301	+	0.715805i	$0.746060\pi$
$164$	−7.68482	−	4.43684i	−0.600084	−	0.346459i
$165$	0.399602	−	0.489410i	0.0311089	−	0.0381005i
$166$	12.4045	+	3.32377i	0.962773	+	0.257974i
$167$	3.65634	−	2.11099i	0.282936	−	0.163353i	−0.351816	−	0.936069i	$-0.614436\pi$
$167$	3.65634	−	2.11099i	0.282936	−	0.163353i	0.634752	+	0.772716i	$0.281102\pi$
$168$	−4.81552	−	2.78024i	−0.371525	−	0.214500i
$169$	1.43890	−	2.49225i	0.110685	−	0.191711i
$170$	−0.970412	−	9.60609i	−0.0744272	−	0.736753i
$171$	−19.3025	−	19.3025i	−1.47610	−	1.47610i
$172$	3.78875	+	6.56230i	0.288889	+	0.500371i
$173$	−3.03079	+	0.812098i	−0.230427	+	0.0617427i	−0.372185	−	0.928159i	$-0.621391\pi$
$173$	−3.03079	+	0.812098i	−0.230427	+	0.0617427i	0.141758	+	0.989901i	$0.454725\pi$
$174$			14.5422i			1.10244i
$175$	8.48382	−	4.23671i	0.641317	−	0.320265i
$176$	−0.0834643	−	0.0481882i	−0.00629136	−	0.00363232i
$177$	33.7766			2.53880
$178$	1.25787	−	4.69445i	0.0942817	−	0.351864i
$179$	−9.42053	−	9.42053i	−0.704124	−	0.704124i	0.261169	−	0.965293i	$-0.415892\pi$
$179$	−9.42053	−	9.42053i	−0.704124	−	0.704124i	−0.965293	+	0.261169i	$0.915892\pi$
$180$	11.4101	+	5.13543i	0.850456	+	0.382773i
$181$	−7.22853	−	12.5202i	−0.537292	−	0.930617i	−0.999049	−	0.0436106i	$-0.986114\pi$
$181$	−7.22853	−	12.5202i	−0.537292	−	0.930617i	0.461756	−	0.887007i	$-0.347219\pi$
$182$	−1.56172	+	5.82843i	−0.115763	+	0.432032i
$183$	15.0364	−	26.0438i	1.11152	−	1.92521i
$184$	−1.96713			−0.145019
$185$	−1.07107	+	13.5592i	−0.0787465	+	0.996895i
$186$	12.6456			0.927223
$187$	−0.208069	+	0.360385i	−0.0152155	+	0.0263540i
$188$	−3.50026	+	13.0631i	−0.255283	+	0.952727i
$189$	−7.21682	−	12.4999i	−0.524946	−	0.909233i
$190$	−3.86798	−	10.1994i	−0.280613	−	0.739945i
$191$	8.61143	+	8.61143i	0.623102	+	0.623102i	0.946323	−	0.323222i	$-0.104766\pi$
$191$	8.61143	+	8.61143i	0.623102	+	0.623102i	−0.323222	+	0.946323i	$0.604766\pi$
$192$	0.758819	−	2.83195i	0.0547630	−	0.204378i
$193$	−22.3791			−1.61088			−0.805441	−	0.592675i	$-0.798072\pi$
$193$	−22.3791			−1.61088			−0.805441	+	0.592675i	$0.798072\pi$
$194$	−15.3052	−	8.83644i	−1.09885	−	0.634419i
$195$	3.34607	−	20.5875i	0.239617	−	1.47430i
$196$		−	3.40300i		−	0.243072i
$197$	17.7868	−	4.76595i	1.26725	−	0.339560i	0.438276	−	0.898840i	$-0.355589\pi$
$197$	17.7868	−	4.76595i	1.26725	−	0.339560i	0.828978	+	0.559281i	$0.188923\pi$
$198$	−0.269649	−	0.467046i	−0.0191631	−	0.0331915i
$199$	−5.85267	−	5.85267i	−0.414885	−	0.414885i	0.468552	−	0.883436i	$-0.344776\pi$
$199$	−5.85267	−	5.85267i	−0.414885	−	0.414885i	−0.883436	+	0.468552i	$0.844776\pi$
$200$	3.31552	+	3.74264i	0.234442	+	0.264645i
$201$	−10.4545	+	18.1077i	−0.737402	+	1.27722i
$202$	−6.21731	−	3.58957i	−0.437449	−	0.252561i
$203$	8.14684	−	4.70358i	0.571796	−	0.330127i
$204$	−12.2279	−	3.27646i	−0.856125	−	0.229398i
$205$	−1.99431	−	19.7417i	−0.139289	−	1.37882i
$206$	7.70927	+	4.45095i	0.537130	+	0.310112i
$207$	−9.53283	−	5.50378i	−0.662577	−	0.382539i
$208$	−3.18154			−0.220600
$209$	−0.121685	+	0.454134i	−0.00841712	+	0.0314131i
$210$	−1.24969	−	12.3706i	−0.0862367	−	0.853656i
$211$	−0.0376802			−0.00259401			−0.00129701	−	0.999999i	$-0.500413\pi$
$211$	−0.0376802			−0.00259401			−0.00129701	+	0.999999i	$0.500413\pi$
$212$	−1.06110	+	1.06110i	−0.0728767	+	0.0728767i
$213$	−5.42953	+	1.45484i	−0.372025	+	0.0996839i
$214$	8.71637	+	8.71637i	0.595839	+	0.595839i
$215$	−6.95415	+	15.4509i	−0.474269	+	1.05375i
$216$	5.38134	−	5.38134i	0.366154	−	0.366154i
$217$	−4.09015	−	7.08434i	−0.277657	−	0.480917i
$218$	5.39874	+	1.44659i	0.365649	+	0.0979753i
$219$	16.6203	−	9.59575i	1.12310	−	0.648421i
$220$	−0.0216601	−	0.214413i	−0.00146032	−	0.0144557i
$221$			13.7374i			0.924076i
$222$	16.1252	+	7.61717i	1.08225	+	0.511231i
$223$	2.83565	−	2.83565i	0.189889	−	0.189889i	−0.605759	−	0.795648i	$-0.707130\pi$
$223$	2.83565	−	2.83565i	0.189889	−	0.189889i	0.795648	+	0.605759i	$0.207130\pi$
$224$	−1.83195	+	0.490870i	−0.122402	+	0.0327976i
$225$	5.59575	+	27.4135i	0.373050	+	1.82757i
$226$	13.6766	−	7.89621i	0.909756	−	0.525248i
$227$	−21.1047	+	12.1848i	−1.40077	+	0.808735i	−0.994472	−	0.105005i	$-0.966514\pi$
$227$	−21.1047	+	12.1848i	−1.40077	+	0.808735i	−0.406299	+	0.913740i	$0.633181\pi$
$228$	−14.3025			−0.947206
$229$	−17.7854	+	10.2684i	−1.17529	+	0.678556i	−0.954921	−	0.296859i	$-0.904061\pi$
$229$	−17.7854	+	10.2684i	−1.17529	+	0.678556i	−0.220373	+	0.975416i	$0.570727\pi$
$230$	−2.57105	−	3.56899i	−0.169530	−	0.235332i
$231$	−0.267949	+	0.464102i	−0.0176298	+	0.0305356i
$232$	3.50731	+	3.50731i	0.230266	+	0.230266i
$233$	−20.8817	−	20.8817i	−1.36801	−	1.36801i	−0.863280	−	0.504725i	$-0.831594\pi$
$233$	−20.8817	−	20.8817i	−1.36801	−	1.36801i	−0.504725	−	0.863280i	$-0.668406\pi$
$234$	−15.4180	−	8.90156i	−1.00790	−	0.581913i
$235$	−28.2755	+	10.7231i	−1.84449	+	0.699495i
$236$	8.14626	−	8.14626i	0.530277	−	0.530277i
$237$	−4.39097	+	7.60538i	−0.285224	+	0.494023i
$238$	2.11950	+	7.91007i	0.137387	+	0.512734i
$239$	−1.62459	−	6.06304i	−0.105086	−	0.392185i	0.893269	−	0.449522i	$-0.148406\pi$
$239$	−1.62459	−	6.06304i	−0.105086	−	0.392185i	−0.998355	+	0.0573368i	$0.981739\pi$
$240$	6.12983	−	2.32465i	0.395679	−	0.150055i
$241$	−4.30632	+	16.0714i	−0.277394	+	1.03525i	0.676825	+	0.736144i	$0.263355\pi$
$241$	−4.30632	+	16.0714i	−0.277394	+	1.03525i	−0.954220	+	0.299107i	$0.903311\pi$
$242$	5.49536	−	9.51824i	0.353255	−	0.611855i
$243$	−6.40605	+	1.71649i	−0.410948	+	0.110113i
$244$	−2.65477	−	9.90775i	−0.169954	−	0.634278i
$245$	6.17411	−	4.44775i	0.394449	−	0.284156i
$246$	−25.1298	−	6.73351i	−1.60222	−	0.429313i
$247$	4.01702	+	14.9917i	0.255597	+	0.953899i
$248$	3.04989	−	3.04989i	0.193668	−	0.193668i
$249$	37.6510			2.38603
$250$	−2.45692	+	10.9070i	−0.155389	+	0.689822i
$251$	12.5472	−	12.5472i	0.791972	−	0.791972i	−0.189842	−	0.981815i	$-0.560798\pi$
$251$	12.5472	−	12.5472i	0.791972	−	0.791972i	0.981815	+	0.189842i	$0.0607977\pi$
$252$	−10.2511	−	2.74679i	−0.645762	−	0.173031i
$253$			0.189585i			0.0119191i
$254$	−2.39644	+	8.94364i	−0.150366	+	0.561174i
$255$	−10.0374	−	26.4676i	−0.628569	−	1.65747i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−12.5632	−	7.25335i	−0.783669	−	0.452451i	0.0540602	−	0.998538i	$-0.482784\pi$
$257$	−12.5632	−	7.25335i	−0.783669	−	0.452451i	−0.837729	+	0.546086i	$0.816117\pi$
$258$	15.7091	+	15.7091i	0.978009	+	0.978009i
$259$	−0.948288	−	11.4974i	−0.0589237	−	0.714412i
$260$	−4.15830	−	5.77231i	−0.257887	−	0.357984i
$261$	7.18362	+	26.8096i	0.444655	+	1.65948i
$262$	−7.84192	−	2.10124i	−0.484475	−	0.129815i
$263$	−3.64822	+	13.6153i	−0.224959	+	0.839558i	0.757462	+	0.652879i	$0.226439\pi$
$263$	−3.64822	+	13.6153i	−0.224959	+	0.839558i	−0.982421	+	0.186679i	$0.940228\pi$
$264$	−0.272933	−	0.0731322i	−0.0167979	−	0.00450097i
$265$	−3.31203	−	0.538302i	−0.203457	−	0.0330677i
$266$	4.62605	+	8.01255i	0.283641	+	0.491281i
$267$		−	14.2490i		−	0.872022i
$268$	1.84581	+	6.88865i	0.112751	+	0.420791i
$269$			20.3266i			1.23933i	0.784866	+	0.619666i	$0.212732\pi$
$269$			20.3266i			1.23933i	−0.784866	+	0.619666i	$0.787268\pi$
$270$	16.7969	+	2.72999i	1.02223	+	0.166142i
$271$	−1.66685	+	2.88706i	−0.101254	+	0.175377i	−0.912201	−	0.409742i	$-0.865619\pi$
$271$	−1.66685	+	2.88706i	−0.101254	+	0.175377i	0.810948	+	0.585119i	$0.198952\pi$
$272$	−3.73936	+	2.15892i	−0.226732	+	0.130904i
$273$			17.6909i			1.07070i
$274$	20.1210	−	5.39142i	1.21556	−	0.325707i
$275$	0.360702	−	0.319537i	0.0217511	−	0.0192688i
$276$	−5.57081	+	1.49269i	−0.335323	+	0.0898496i
$277$	3.34523	+	5.79410i	0.200995	+	0.348134i	0.948849	−	0.315729i	$-0.102249\pi$
$277$	3.34523	+	5.79410i	0.200995	+	0.348134i	−0.747854	+	0.663863i	$0.768916\pi$
$278$	−1.81734	−	3.14772i	−0.108997	−	0.188788i
$279$	23.3132	−	6.24674i	1.39572	−	0.373983i
$280$	−3.28497	−	2.68216i	−0.196314	−	0.160290i
$281$	17.2969	−	4.63469i	1.03185	−	0.276482i	0.297116	−	0.954842i	$-0.403975\pi$
$281$	17.2969	−	4.63469i	1.03185	−	0.276482i	0.734730	+	0.678359i	$0.237309\pi$
$282$			39.6502i			2.36114i
$283$	6.82785	−	3.94206i	0.405873	−	0.234331i	−0.283142	−	0.959078i	$-0.591377\pi$
$283$	6.82785	−	3.94206i	0.405873	−	0.234331i	0.689015	+	0.724747i	$0.258043\pi$
$284$	−0.958620	+	1.66038i	−0.0568836	+	0.0985253i
$285$	−18.6935	−	25.9492i	−1.10731	−	1.53710i
$286$			0.306625i			0.0181311i
$287$	4.35582	+	16.2561i	0.257116	+	0.959569i
$288$		−	5.59575i		−	0.329733i
$289$	0.821859	+	1.42350i	0.0483447	+	0.0837354i
$290$	−1.77928	+	10.9474i	−0.104483	+	0.642855i
$291$	−50.0487	−	13.4105i	−2.93391	−	0.786138i
$292$	1.69419	−	6.32282i	0.0991453	−	0.370015i
$293$	16.4168	+	4.39886i	0.959077	+	0.256984i	0.704210	−	0.709992i	$-0.251302\pi$
$293$	16.4168	+	4.39886i	0.959077	+	0.256984i	0.254867	+	0.966976i	$0.417968\pi$
$294$	−2.58226	−	9.63713i	−0.150601	−	0.562049i
$295$	25.4271	+	4.13265i	1.48042	+	0.240612i
$296$	5.72620	−	2.05197i	0.332829	−	0.119268i
$297$	−0.518634	−	0.518634i	−0.0300942	−	0.0300942i
$298$	12.0430	+	6.95301i	0.697631	+	0.402777i
$299$	3.12925	+	5.42002i	0.180969	+	0.313448i
$300$	12.2294	+	8.08310i	0.706063	+	0.466678i
$301$	3.71956	−	13.8816i	0.214392	−	0.800122i
$302$		−	4.09346i		−	0.235552i
$303$	−20.3310	−	5.44767i	−1.16798	−	0.312960i
$304$	−3.44949	+	3.44949i	−0.197842	+	0.197842i
$305$	14.5059	−	17.7661i	0.830608	−	1.01728i
$306$	−24.1616			−1.38122
$307$	−13.8251	+	13.8251i	−0.789041	+	0.789041i	−0.981337	−	0.192296i	$-0.938407\pi$
$307$	−13.8251	+	13.8251i	−0.789041	+	0.789041i	0.192296	+	0.981337i	$0.438407\pi$
$308$	0.0473082	+	0.176557i	0.00269564	+	0.0100603i
$309$	25.2097	+	6.75493i	1.43413	+	0.384275i
$310$	9.51968	+	1.54723i	0.540681	+	0.0878765i
$311$	−1.99132	−	7.43169i	−0.112917	−	0.421413i	0.886205	−	0.463292i	$-0.153332\pi$
$311$	−1.99132	−	7.43169i	−0.112917	−	0.421413i	−0.999123	+	0.0418797i	$0.986665\pi$
$312$	−9.00997	+	2.41421i	−0.510089	+	0.136678i
$313$	11.7922	−	20.4246i	0.666533	−	1.15447i	−0.312335	−	0.949972i	$-0.601111\pi$
$313$	11.7922	−	20.4246i	0.666533	−	1.15447i	0.978867	−	0.204496i	$-0.0655556\pi$
$314$	−4.70831	+	17.5716i	−0.265705	+	0.991625i
$315$	−8.41479	−	22.1889i	−0.474120	−	1.25020i
$316$	0.775255	+	2.89329i	0.0436115	+	0.162760i
$317$	4.04316	+	15.0893i	0.227087	+	0.847499i	0.981558	+	0.191166i	$0.0612267\pi$
$317$	4.04316	+	15.0893i	0.227087	+	0.847499i	−0.754471	+	0.656333i	$0.772107\pi$
$318$	−2.19980	+	3.81017i	−0.123359	+	0.213664i
$319$	0.338021	−	0.338021i	0.0189256	−	0.0189256i
$320$	0.917738	−	2.03906i	0.0513031	−	0.113987i
$321$	31.2985	+	18.0702i	1.74691	+	1.00858i
$322$	2.63808	+	2.63808i	0.147014	+	0.147014i
$323$	14.8943	+	14.8943i	0.828743	+	0.828743i
$324$	2.76260	−	4.78497i	0.153478	−	0.265831i
$325$	5.03786	−	15.0889i	0.279450	−	0.836982i
$326$	−5.45854	+	3.15149i	−0.302320	+	0.174545i
$327$	16.3867			0.906185
$328$	−7.68482	+	4.43684i	−0.424323	+	0.244983i
$329$	22.2129	−	12.8246i	1.22463	−	0.707043i
$330$	−0.224041	−	0.590770i	−0.0123330	−	0.0325208i
$331$	22.6157	−	6.05986i	1.24307	−	0.333080i	0.423415	−	0.905936i	$-0.360831\pi$
$331$	22.6157	−	6.05986i	1.24307	−	0.333080i	0.819656	+	0.572856i	$0.194165\pi$
$332$	9.08070	−	9.08070i	0.498368	−	0.498368i
$333$	33.4907	+	6.07724i	1.83528	+	0.333030i
$334$		−	4.22198i		−	0.231016i
$335$	−10.0857	+	12.3524i	−0.551040	+	0.674883i
$336$	−4.81552	+	2.78024i	−0.262708	+	0.151674i
$337$	−6.69117	−	1.79289i	−0.364491	−	0.0976651i	0.0719250	−	0.997410i	$-0.477086\pi$
$337$	−6.69117	−	1.79289i	−0.364491	−	0.0976651i	−0.436416	+	0.899745i	$0.643752\pi$
$338$	−1.43890	−	2.49225i	−0.0782658	−	0.135560i
$339$	32.7398	−	32.7398i	1.77818	−	1.77818i
$340$	−8.80432	−	3.96264i	−0.477481	−	0.214904i
$341$	−0.293937	−	0.293937i	−0.0159176	−	0.0159176i
$342$	−26.3677	+	7.06520i	−1.42580	+	0.382042i
$343$	−13.9513	+	13.9513i	−0.753298	+	0.753298i
$344$	7.57749			0.408551
$345$	−9.98930	−	8.15623i	−0.537806	−	0.439117i
$346$	−0.812098	+	3.03079i	−0.0436586	+	0.162936i
$347$	15.8483			0.850783			0.425391	−	0.905009i	$-0.360136\pi$
$347$	15.8483			0.850783			0.425391	+	0.905009i	$0.360136\pi$
$348$	12.5939	+	7.27111i	0.675106	+	0.389772i
$349$	−19.6627	−	11.3523i	−1.05252	−	0.607672i	−0.129165	−	0.991623i	$-0.541230\pi$
$349$	−19.6627	−	11.3523i	−1.05252	−	0.607672i	−0.923353	+	0.383951i	$0.874563\pi$
$350$	0.572810	−	9.46556i	0.0306180	−	0.505956i
$351$	−23.3877	−	6.26670i	−1.24834	−	0.334492i
$352$	−0.0834643	+	0.0481882i	−0.00444866	+	0.00256844i
$353$	−12.4888	−	7.21039i	−0.664710	−	0.383770i	0.129359	−	0.991598i	$-0.458708\pi$
$353$	−12.4888	−	7.21039i	−0.664710	−	0.383770i	−0.794069	+	0.607827i	$0.792041\pi$
$354$	16.8883	−	29.2514i	0.897602	−	1.55469i
$355$	−4.26537	+	0.430890i	−0.226382	+	0.0228693i
$356$	−3.43658	−	3.43658i	−0.182138	−	0.182138i
$357$	12.0046	+	20.7926i	0.635352	+	1.10046i
$358$	−12.8687	+	3.44815i	−0.680131	+	0.182241i
$359$			4.52860i			0.239010i	0.992834	+	0.119505i	$0.0381308\pi$
$359$			4.52860i			0.239010i	−0.992834	+	0.119505i	$0.961869\pi$
$360$	10.1525	−	7.31369i	0.535081	−	0.385465i
$361$	4.15515	+	2.39898i	0.218692	+	0.126262i
$362$	−14.4571			−0.759846
$363$	8.33996	−	31.1252i	0.437734	−	1.63365i
$364$	4.26670	+	4.26670i	0.223636	+	0.223636i
$365$	13.6859	−	5.19017i	0.716353	−	0.271666i
$366$	−15.0364	−	26.0438i	−0.785964	−	1.36133i
$367$	−8.43746	+	31.4890i	−0.440432	+	1.64371i	0.287292	+	0.957843i	$0.407245\pi$
$367$	−8.43746	+	31.4890i	−0.440432	+	1.64371i	−0.727724	+	0.685870i	$0.759422\pi$
$368$	−0.983564	+	1.70358i	−0.0512718	+	0.0888054i
$369$	−49.6549			−2.58493
$370$	11.2071	+	7.70719i	0.582630	+	0.400678i
$371$	2.84604			0.147759
$372$	6.32282	−	10.9514i	0.327823	−	0.567806i
$373$	−5.49800	+	20.5188i	−0.284676	+	1.06242i	0.664400	+	0.747377i	$0.268687\pi$
$373$	−5.49800	+	20.5188i	−0.284676	+	1.06242i	−0.949076	+	0.315047i	$0.897980\pi$
$374$	0.208069	+	0.360385i	0.0107590	+	0.0186351i
$375$	1.31859	+	32.7526i	0.0680918	+	1.69134i
$376$	9.56288	+	9.56288i	0.493168	+	0.493168i
$377$	4.08434	−	15.2430i	0.210354	−	0.785053i
$378$	−14.4336			−0.742386
$379$	−3.13757	−	1.81148i	−0.161166	−	0.0930493i	0.417248	−	0.908793i	$-0.362995\pi$
$379$	−3.13757	−	1.81148i	−0.161166	−	0.0930493i	−0.578414	+	0.815744i	$0.696328\pi$
$380$	−10.7670	−	1.74995i	−0.552334	−	0.0897704i
$381$			27.1464i			1.39075i
$382$	11.7634	−	3.15200i	0.601870	−	0.161271i
$383$	−17.1198	−	29.6524i	−0.874783	−	1.51517i	−0.856994	−	0.515326i	$-0.827671\pi$
$383$	−17.1198	−	29.6524i	−0.874783	−	1.51517i	−0.0177887	−	0.999842i	$-0.505663\pi$
$384$	−2.07313	−	2.07313i	−0.105794	−	0.105794i
$385$	−0.258497	+	0.316593i	−0.0131742	+	0.0161351i
$386$	−11.1896	+	19.3809i	−0.569533	+	0.986460i
$387$	36.7210	+	21.2009i	1.86663	+	1.07770i
$388$	−15.3052	+	8.83644i	−0.777002	+	0.448602i
$389$	−6.94098	−	1.85983i	−0.351922	−	0.0942971i	0.0785275	−	0.996912i	$-0.474978\pi$
$389$	−6.94098	−	1.85983i	−0.351922	−	0.0942971i	−0.430449	+	0.902615i	$0.641645\pi$
$390$	−16.1562	−	13.1915i	−0.818103	−	0.667978i
$391$	7.35579	+	4.24687i	0.371998	+	0.214773i
$392$	−2.94709	−	1.70150i	−0.148850	−	0.0859388i
$393$	−23.8024			−1.20067
$394$	4.76595	−	17.7868i	0.240105	−	0.896084i
$395$	−4.23607	+	5.18811i	−0.213140	+	0.261042i
$396$	−0.539298			−0.0271008
$397$	11.2418	−	11.2418i	0.564208	−	0.564208i	−0.366292	−	0.930500i	$-0.619373\pi$
$397$	11.2418	−	11.2418i	0.564208	−	0.564208i	0.930500	+	0.366292i	$0.119373\pi$
$398$	−7.99489	+	2.14222i	−0.400748	+	0.107380i
$399$	19.1808	+	19.1808i	0.960242	+	0.960242i
$400$	4.89898	−	1.00000i	0.244949	−	0.0500000i
$401$	−5.06226	+	5.06226i	−0.252797	+	0.252797i	−0.822116	−	0.569319i	$-0.807207\pi$
$401$	−5.06226	+	5.06226i	−0.252797	+	0.252797i	0.569319	+	0.822116i	$0.307207\pi$
$402$	10.4545	+	18.1077i	0.521422	+	0.903129i
$403$	−13.2550	−	3.55167i	−0.660279	−	0.176921i
$404$	−6.21731	+	3.58957i	−0.309323	+	0.178588i
$405$	12.2922	−	1.24176i	0.610803	−	0.0617036i
$406$		−	9.40717i		−	0.466870i
$407$	−0.197761	−	0.551871i	−0.00980266	−	0.0273552i
$408$	−8.95145	+	8.95145i	−0.443163	+	0.443163i
$409$	19.0336	−	5.10003i	0.941150	−	0.252180i	0.244547	−	0.969637i	$-0.421361\pi$
$409$	19.0336	−	5.10003i	0.941150	−	0.252180i	0.696603	+	0.717457i	$0.254694\pi$
$410$	−18.0939	−	8.14370i	−0.893596	−	0.402189i
$411$	52.8907	−	30.5365i	2.60891	−	1.50625i
$412$	7.70927	−	4.45095i	0.379809	−	0.219283i
$413$	−21.8496			−1.07515
$414$	−9.53283	+	5.50378i	−0.468513	+	0.270496i
$415$	28.3438	+	4.60669i	1.39134	+	0.226134i
$416$	−1.59077	+	2.75529i	−0.0779939	+	0.135089i
$417$	−7.53517	−	7.53517i	−0.368999	−	0.368999i
$418$	0.332449	+	0.332449i	0.0162606	+	0.0162606i
$419$	25.6113	+	14.7867i	1.25119	+	0.722377i	0.971346	−	0.237668i	$-0.0763830\pi$
$419$	25.6113	+	14.7867i	1.25119	+	0.722377i	0.279847	+	0.960045i	$0.409716\pi$
$420$	−11.3381	−	5.10306i	−0.553244	−	0.249004i
$421$	15.5966	−	15.5966i	0.760133	−	0.760133i	−0.216213	−	0.976346i	$-0.569371\pi$
$421$	15.5966	−	15.5966i	0.760133	−	0.760133i	0.976346	+	0.216213i	$0.0693705\pi$
$422$	−0.0188401	+	0.0326320i	−0.000917122	+	0.00158850i
$423$	19.5866	+	73.0981i	0.952332	+	3.55415i
$424$	0.388390	+	1.44949i	0.0188619	+	0.0703934i
$425$	−4.31784	−	21.1530i	−0.209446	−	1.02607i
$426$	−1.45484	+	5.42953i	−0.0704871	+	0.263062i
$427$	−9.72683	+	16.8474i	−0.470714	+	0.815301i
$428$	11.9068	−	3.19041i	0.575536	−	0.154214i
$429$	0.232673	+	0.868348i	0.0112336	+	0.0419242i
$430$	9.90384	+	13.7479i	0.477606	+	0.662985i
$431$	−12.0203	−	3.22083i	−0.578997	−	0.155142i	−0.0425776	−	0.999093i	$-0.513557\pi$
$431$	−12.0203	−	3.22083i	−0.578997	−	0.155142i	−0.536420	+	0.843951i	$0.680224\pi$
$432$	−1.96971	−	7.35105i	−0.0947676	−	0.353678i
$433$	9.59505	−	9.59505i	0.461109	−	0.461109i	−0.437910	−	0.899019i	$-0.644281\pi$
$433$	9.59505	−	9.59505i	0.461109	−	0.461109i	0.899019	+	0.437910i	$0.144281\pi$
$434$	−8.18030			−0.392667
$435$	3.26829	+	32.3527i	0.156702	+	1.55119i
$436$	3.95215	−	3.95215i	0.189274	−	0.189274i
$437$	9.26928	+	2.48370i	0.443410	+	0.118811i
$438$		−	19.1915i		−	0.917006i
$439$	4.63361	−	17.2929i	0.221150	−	0.825344i	−0.762760	−	0.646681i	$-0.776156\pi$
$439$	4.63361	−	17.2929i	0.221150	−	0.825344i	0.983910	−	0.178662i	$-0.0571769\pi$
$440$	−0.196517	−	0.0884482i	−0.00936858	−	0.00421660i
$441$	−9.52118	−	16.4912i	−0.453390	−	0.785294i
$442$	11.8969	+	6.86869i	0.565879	+	0.326710i
$443$	−12.5352	−	12.5352i	−0.595564	−	0.595564i	0.343565	−	0.939129i	$-0.388365\pi$
$443$	−12.5352	−	12.5352i	−0.595564	−	0.595564i	−0.939129	+	0.343565i	$0.888365\pi$
$444$	14.6593	−	10.1562i	0.695698	−	0.481993i
$445$	1.74340	−	10.7267i	0.0826449	−	0.508492i
$446$	−1.03792	−	3.87357i	−0.0491470	−	0.183419i
$447$	39.3812	+	10.5522i	1.86267	+	0.499100i
$448$	−0.490870	+	1.83195i	−0.0231914	+	0.0865516i
$449$	20.7823	+	5.56859i	0.980776	+	0.262798i	0.713372	−	0.700786i	$-0.247167\pi$
$449$	20.7823	+	5.56859i	0.980776	+	0.262798i	0.267405	+	0.963584i	$0.413834\pi$
$450$	26.5387	+	8.86068i	1.25104	+	0.417696i
$451$	0.427606	+	0.740635i	0.0201352	+	0.0348751i
$452$		−	15.7924i		−	0.742813i
$453$	−3.10619	−	11.5925i	−0.145942	−	0.544662i
$454$			24.3696i			1.14372i
$455$	−2.16452	+	13.3178i	−0.101474	+	0.624346i
$456$	−7.15125	+	12.3863i	−0.334888	+	0.580043i
$457$	−21.8233	+	12.5997i	−1.02085	+	0.589387i	−0.914350	−	0.404926i	$-0.867297\pi$
$457$	−21.8233	+	12.5997i	−1.02085	+	0.589387i	−0.106499	+	0.994313i	$0.533964\pi$
$458$			20.5368i			0.959624i
$459$	−31.7406	+	8.50488i	−1.48153	+	0.396974i
$460$	−4.37636	+	0.442102i	−0.204049	+	0.0206131i
$461$	−16.2115	+	4.34385i	−0.755043	+	0.202313i	−0.615754	−	0.787938i	$-0.711148\pi$
$461$	−16.2115	+	4.34385i	−0.755043	+	0.202313i	−0.139289	+	0.990252i	$0.544482\pi$
$462$	0.267949	+	0.464102i	0.0124661	+	0.0215920i
$463$	14.6067	+	25.2995i	0.678829	+	1.17577i	0.975334	+	0.220735i	$0.0708457\pi$
$463$	14.6067	+	25.2995i	0.678829	+	1.17577i	−0.296504	+	0.955031i	$0.595821\pi$
$464$	4.79107	−	1.28376i	0.222420	−	0.0595972i
$465$	28.1333	−	2.84204i	1.30465	−	0.131797i
$466$	−28.5249	+	7.64323i	−1.32139	+	0.354066i
$467$		−	28.4561i		−	1.31679i	−0.752673	−	0.658395i	$-0.771236\pi$
$467$		−	28.4561i		−	1.31679i	0.752673	−	0.658395i	$-0.228764\pi$
$468$	−15.4180	+	8.90156i	−0.712695	+	0.411475i
$469$	6.76286	−	11.7136i	0.312280	−	0.540884i
$470$	−4.85131	+	29.8488i	−0.223774	+	1.37682i
$471$			53.3348i			2.45754i
$472$	−2.98174	−	11.1280i	−0.137246	−	0.512208i
$473$		−	0.730291i		−	0.0335788i
$474$	4.39097	+	7.60538i	0.201684	+	0.349327i
$475$	−10.8975	−	21.8218i	−0.500014	−	1.00125i
$476$	7.91007	+	2.11950i	0.362557	+	0.0971469i
$477$	−2.17333	+	8.11099i	−0.0995101	+	0.371377i
$478$	−6.06304	−	1.62459i	−0.277317	−	0.0743069i
$479$	−6.57805	−	24.5496i	−0.300559	−	1.12170i	−0.936702	−	0.350129i	$-0.886138\pi$
$479$	−6.57805	−	24.5496i	−0.300559	−	1.12170i	0.636143	−	0.771571i	$-0.280529\pi$
$480$	1.05171	−	6.47091i	0.0480039	−	0.295355i
$481$	−14.7629	−	12.5132i	−0.673128	−	0.570551i
$482$	11.7651	+	11.7651i	0.535885	+	0.535885i
$483$	9.47273	+	5.46909i	0.431024	+	0.248852i
$484$	−5.49536	−	9.51824i	−0.249789	−	0.432647i
$485$	−36.0360	−	16.2191i	−1.63631	−	0.736470i
$486$	−1.71649	+	6.40605i	−0.0778618	+	0.290584i
$487$		−	35.2151i		−	1.59575i	−0.602824	−	0.797874i	$-0.705958\pi$
$487$		−	35.2151i		−	1.59575i	0.602824	−	0.797874i	$-0.294042\pi$
$488$	−9.90775	−	2.65477i	−0.448503	−	0.120176i
$489$	−13.0669	+	13.0669i	−0.590906	+	0.590906i
$490$	−0.764807	−	7.57081i	−0.0345505	−	0.342014i
$491$	−42.4085			−1.91387			−0.956934	−	0.290305i	$-0.906243\pi$
$491$	−42.4085			−1.91387			−0.956934	+	0.290305i	$0.906243\pi$
$492$	−18.3963	+	18.3963i	−0.829369	+	0.829369i
$493$	−5.54308	−	20.6871i	−0.249648	−	0.931698i
$494$	14.9917	+	4.01702i	0.674509	+	0.180734i
$495$	−0.704867	−	0.978456i	−0.0316814	−	0.0439783i
$496$	−1.11634	−	4.16622i	−0.0501250	−	0.187069i
$497$	3.51229	−	0.941115i	0.157548	−	0.0422148i
$498$	18.8255	−	32.6067i	0.843590	−	1.46114i
$499$	−1.05851	+	3.95040i	−0.0473853	+	0.176844i	−0.985563	−	0.169310i	$-0.945846\pi$
$499$	−1.05851	+	3.95040i	−0.0473853	+	0.176844i	0.938178	+	0.346155i	$0.112513\pi$
$500$	8.21731	+	7.58128i	0.367489	+	0.339045i
$501$	−3.20372	−	11.9564i	−0.143131	−	0.534174i
$502$	−4.59259	−	17.1398i	−0.204978	−	0.764987i
$503$	−3.62641	+	6.28113i	−0.161694	+	0.280062i	−0.935476	−	0.353390i	$-0.885029\pi$
$503$	−3.62641	+	6.28113i	−0.161694	+	0.280062i	0.773783	+	0.633451i	$0.218362\pi$
$504$	−7.50436	+	7.50436i	−0.334271	+	0.334271i
$505$	−14.6387	−	6.58856i	−0.651413	−	0.293187i
$506$	0.164185	+	0.0947923i	0.00729891	+	0.00421403i
$507$	−5.96606	−	5.96606i	−0.264962	−	0.264962i
$508$	6.54720	+	6.54720i	0.290485	+	0.290485i
$509$	−2.52176	+	4.36782i	−0.111775	+	0.193600i	−0.916486	−	0.400067i	$-0.868987\pi$
$509$	−2.52176	+	4.36782i	−0.111775	+	0.193600i	0.804711	+	0.593667i	$0.202320\pi$
$510$	−27.9403	−	4.54112i	−1.23722	−	0.201084i
$511$	−10.7515	+	6.20736i	−0.475617	+	0.274598i
$512$	−1.00000			−0.0441942
$513$	−32.1519	+	18.5629i	−1.41954	+	0.819571i
$514$	−12.5632	+	7.25335i	−0.554137	+	0.319931i
$515$	18.1515	+	8.16961i	0.799850	+	0.359996i
$516$	21.4591	−	5.74995i	0.944684	−	0.253127i
$517$	0.921635	−	0.921635i	0.0405335	−	0.0405335i
$518$	−10.4312	−	4.92745i	−0.458319	−	0.216500i
$519$			9.19929i			0.403804i
$520$	−7.07812	+	0.715035i	−0.310396	+	0.0313564i
$521$	−21.3133	+	12.3053i	−0.933755	+	0.539103i	−0.887997	−	0.459849i	$-0.847903\pi$
$521$	−21.3133	+	12.3053i	−0.933755	+	0.539103i	−0.0457575	+	0.998953i	$0.514570\pi$
$522$	26.8096	+	7.18362i	1.17343	+	0.314419i
$523$	2.78498	+	4.82373i	0.121779	+	0.210927i	0.920469	−	0.390815i	$-0.127807\pi$
$523$	2.78498	+	4.82373i	0.121779	+	0.210927i	−0.798690	+	0.601742i	$0.794473\pi$
$524$	−5.74068	+	5.74068i	−0.250783	+	0.250783i
$525$	−5.56048	−	27.2407i	−0.242679	−	1.18888i
$526$	9.96713	+	9.96713i	0.434587	+	0.434587i
$527$	−17.9891	+	4.82016i	−0.783617	+	0.209969i
$528$	−0.199801	+	0.199801i	−0.00869522	+	0.00869522i
$529$	−19.1304			−0.831757
$530$	−2.12220	+	2.59915i	−0.0921825	+	0.112900i
$531$	16.6851	−	62.2696i	0.724071	−	2.70227i
$532$	9.25209			0.401129
$533$	24.4496	+	14.1160i	1.05903	+	0.611431i
$534$	−12.3400	−	7.12448i	−0.534002	−	0.308306i
$535$	21.3507	+	17.4327i	0.923070	+	0.753683i
$536$	6.88865	+	1.84581i	0.297544	+	0.0797267i
$537$	−33.8270	+	19.5300i	−1.45974	+	0.842782i
$538$	17.6033	+	10.1633i	0.758933	+	0.438170i
$539$	−0.163984	+	0.284029i	−0.00706331	+	0.0122340i
$540$	10.7627	−	13.1815i	0.463152	−	0.567243i
$541$	−10.6470	−	10.6470i	−0.457752	−	0.457752i	0.440165	−	0.897917i	$-0.354920\pi$
$541$	−10.6470	−	10.6470i	−0.457752	−	0.457752i	−0.897917	+	0.440165i	$0.854920\pi$
$542$	1.66685	+	2.88706i	0.0715972	+	0.124010i
$543$	−40.9417	+	10.9703i	−1.75698	+	0.470780i
$544$			4.31784i			0.185126i
$545$	12.3359	+	2.00495i	0.528413	+	0.0858826i
$546$	15.3208	+	8.84544i	0.655668	+	0.378550i
$547$	−2.18405			−0.0933831			−0.0466916	−	0.998909i	$-0.514868\pi$
$547$	−2.18405			−0.0933831			−0.0466916	+	0.998909i	$0.514868\pi$
$548$	5.39142	−	20.1210i	0.230310	−	0.859528i
$549$	−40.5859	−	40.5859i	−1.73216	−	1.73216i
$550$	−0.0963763	−	0.472146i	−0.00410950	−	0.0201324i
$551$	−12.0984	−	20.9551i	−0.515410	−	0.892716i
$552$	−1.49269	+	5.57081i	−0.0635333	+	0.237109i
$553$	2.84046	−	4.91982i	0.120789	−	0.209212i
$554$	6.69046			0.284250
$555$	37.5863	+	13.3222i	1.59545	+	0.565497i
$556$	−3.63468			−0.154145
$557$	9.26222	−	16.0426i	0.392453	−	0.679748i	−0.600320	−	0.799760i	$-0.704960\pi$
$557$	9.26222	−	16.0426i	0.392453	−	0.679748i	0.992772	+	0.120012i	$0.0382933\pi$
$558$	6.24674	−	23.3132i	0.264446	−	0.986925i
$559$	−12.0541	−	20.8782i	−0.509832	−	0.883055i
$560$	−3.96530	+	1.50378i	−0.167565	+	0.0635464i
$561$	0.862708	+	0.862708i	0.0364235	+	0.0364235i
$562$	4.63469	−	17.2969i	0.195503	−	0.729625i
$563$	−10.7787			−0.454267			−0.227133	−	0.973864i	$-0.572935\pi$
$563$	−10.7787			−0.454267			−0.227133	+	0.973864i	$0.572935\pi$
$564$	34.3381	+	19.8251i	1.44590	+	0.834788i
$565$	28.6524	−	20.6408i	1.20542	−	0.868365i
$566$		−	7.88412i		−	0.331394i
$567$	−10.1219	+	2.71215i	−0.425080	+	0.113900i
$568$	0.958620	+	1.66038i	0.0402228	+	0.0696679i
$569$	−16.4710	−	16.4710i	−0.690499	−	0.690499i	0.271843	−	0.962342i	$-0.412367\pi$
$569$	−16.4710	−	16.4710i	−0.690499	−	0.690499i	−0.962342	+	0.271843i	$0.912367\pi$
$570$	−31.8194	+	3.21441i	−1.33277	+	0.134637i
$571$	15.2470	−	26.4086i	0.638066	−	1.10516i	−0.347790	−	0.937572i	$-0.613068\pi$
$571$	15.2470	−	26.4086i	0.638066	−	1.10516i	0.985857	−	0.167591i	$-0.0535988\pi$
$572$	0.265545	+	0.153313i	0.0111030	+	0.00641032i
$573$	30.9217	−	17.8526i	1.29177	−	0.745805i
$574$	16.2561	+	4.35582i	0.678518	+	0.181808i
$575$	−6.52204	−	7.36225i	−0.271988	−	0.307027i
$576$	−4.84607	−	2.79788i	−0.201919	−	0.116578i
$577$	6.45904	+	3.72913i	0.268894	+	0.155246i	0.628385	−	0.777903i	$-0.283716\pi$
$577$	6.45904	+	3.72913i	0.268894	+	0.155246i	−0.359491	+	0.933148i	$0.617050\pi$
$578$	1.64372			0.0683697
$579$	−16.9817	+	63.3765i	−0.705735	+	2.63384i
$580$	8.59111	+	7.01461i	0.356726	+	0.291266i
$581$	−24.3559			−1.01045
$582$	−36.6382	+	36.6382i	−1.51870	+	1.51870i
$583$	0.139696	−	0.0374316i	0.00578564	−	0.00155026i
$584$	−4.62863	−	4.62863i	−0.191534	−	0.191534i
$585$	−36.3016	−	16.3386i	−1.50089	−	0.675518i
$586$	12.0179	−	12.0179i	0.496455	−	0.496455i
$587$	1.37623	+	2.38371i	0.0568032	+	0.0983861i	0.893029	−	0.450000i	$-0.148576\pi$
$587$	1.37623	+	2.38371i	0.0568032	+	0.0983861i	−0.836226	+	0.548386i	$0.815243\pi$
$588$	−9.63713	−	2.58226i	−0.397429	−	0.106491i
$589$	−18.2221	+	10.5206i	−0.750830	+	0.433492i
$590$	16.2925	−	19.9542i	0.670753	−	0.821501i
$591$		−	53.9877i		−	2.22076i
$592$	1.08604	−	5.98502i	0.0446361	−	0.245983i
$593$	11.7207	−	11.7207i	0.481309	−	0.481309i	−0.424240	−	0.905550i	$-0.639459\pi$
$593$	11.7207	−	11.7207i	0.481309	−	0.481309i	0.905550	+	0.424240i	$0.139459\pi$
$594$	−0.708467	+	0.189833i	−0.0290688	+	0.00778895i
$595$	6.49309	+	17.1215i	0.266191	+	0.701915i
$596$	12.0430	−	6.95301i	0.493299	−	0.284807i
$597$	−21.0156	+	12.1334i	−0.860111	+	0.496585i
$598$	6.25850			0.255929
$599$	−12.0793	+	6.97399i	−0.493547	+	0.284949i	−0.726045	−	0.687648i	$-0.758643\pi$
$599$	−12.0793	+	6.97399i	−0.493547	+	0.284949i	0.232498	+	0.972597i	$0.425310\pi$
$600$	13.1149	−	6.54939i	0.535412	−	0.267378i
$601$	18.1283	−	31.3991i	0.739467	−	1.28079i	−0.213268	−	0.976994i	$-0.568411\pi$
$601$	18.1283	−	31.3991i	0.739467	−	1.28079i	0.952735	−	0.303801i	$-0.0982558\pi$
$602$	−10.1620	−	10.1620i	−0.414174	−	0.414174i
$603$	28.2185	+	28.2185i	1.14915	+	1.14915i
$604$	−3.54504	−	2.04673i	−0.144246	−	0.0832802i
$605$	10.0866	−	22.4107i	0.410078	−	0.911124i
$606$	−14.8833	+	14.8833i	−0.604593	+	0.604593i
$607$	−4.36503	+	7.56045i	−0.177171	+	0.306869i	−0.940910	−	0.338655i	$-0.890028\pi$
$607$	−4.36503	+	7.56045i	−0.177171	+	0.306869i	0.763739	+	0.645525i	$0.223361\pi$
$608$	1.26260	+	4.71209i	0.0512052	+	0.191101i
$609$	−7.13834	−	26.6406i	−0.289260	−	1.07953i
$610$	−8.13291	−	21.4456i	−0.329292	−	0.868305i
$611$	11.1362	−	41.5609i	0.450523	−	1.68137i
$612$	−12.0808	+	20.9245i	−0.488336	+	0.845824i
$613$	−6.11924	+	1.63964i	−0.247154	+	0.0662246i	−0.380269	−	0.924876i	$-0.624169\pi$
$613$	−6.11924	+	1.63964i	−0.247154	+	0.0662246i	0.133115	+	0.991101i	$0.457502\pi$
$614$	5.06034	+	18.8855i	0.204219	+	0.762155i
$615$	−57.4207	−	9.33255i	−2.31543	−	0.376325i
$616$	0.176557	+	0.0473082i	0.00711367	+	0.00190610i
$617$	−8.94057	−	33.3667i	−0.359934	−	1.34329i	−0.874160	−	0.485637i	$-0.838588\pi$
$617$	−8.94057	−	33.3667i	−0.359934	−	1.34329i	0.514226	−	0.857655i	$-0.328079\pi$
$618$	18.4548	−	18.4548i	0.742361	−	0.742361i
$619$	−2.07274			−0.0833106			−0.0416553	−	0.999132i	$-0.513263\pi$
$619$	−2.07274			−0.0833106			−0.0416553	+	0.999132i	$0.513263\pi$
$620$	6.09978	−	7.47067i	0.244973	−	0.300029i
$621$	−10.5858	+	10.5858i	−0.424793	+	0.424793i
$622$	−7.43169	−	1.99132i	−0.297984	−	0.0798445i
$623$			9.21746i			0.369290i
$624$	−2.41421	+	9.00997i	−0.0966459	+	0.360687i
$625$	−3.01472	+	24.8176i	−0.120589	+	0.992703i
$626$	−11.7922	−	20.4246i	−0.471310	−	0.816332i
$627$	1.19375	+	0.689211i	0.0476737	+	0.0275244i
$628$	12.8633	+	12.8633i	0.513303	+	0.513303i
$629$	−25.8424	−	4.68936i	−1.03040	−	0.186977i
$630$	−23.4235	−	3.80701i	−0.933215	−	0.151675i
$631$	6.43456	+	24.0141i	0.256156	+	0.955987i	0.967444	+	0.253086i	$0.0814456\pi$
$631$	6.43456	+	24.0141i	0.256156	+	0.955987i	−0.711288	+	0.702901i	$0.751888\pi$
$632$	2.89329	+	0.775255i	0.115089	+	0.0308380i
$633$	−0.0285924	+	0.106708i	−0.00113645	+	0.00424128i
$634$	15.0893	+	4.04316i	0.599272	+	0.160574i
$635$	−3.32143	+	20.4359i	−0.131807	+	0.810974i
$636$	2.19980	+	3.81017i	0.0872278	+	0.151083i
$637$			10.8268i			0.428973i
$638$	−0.123724	−	0.461746i	−0.00489829	−	0.0182807i
$639$			10.7284i			0.424409i
$640$	−1.30701	−	1.81431i	−0.0516640	−	0.0717170i
$641$	5.25663	−	9.10475i	0.207624	−	0.359616i	−0.743341	−	0.668912i	$-0.766760\pi$
$641$	5.25663	−	9.10475i	0.207624	−	0.359616i	0.950966	+	0.309296i	$0.100093\pi$
$642$	31.2985	−	18.0702i	1.23525	−	0.713173i
$643$			48.2140i			1.90137i	0.310154	+	0.950686i	$0.399619\pi$
$643$			48.2140i			1.90137i	−0.310154	+	0.950686i	$0.600381\pi$
$644$	3.60368	−	0.965604i	0.142005	−	0.0380501i
$645$	38.4794	+	31.4183i	1.51512	+	1.23709i
$646$	20.3460	−	5.45171i	0.800504	−	0.214494i
$647$	−12.7515	−	22.0863i	−0.501314	−	0.868301i	−0.999999	−	0.00151802i	$-0.999517\pi$
$647$	−12.7515	−	22.0863i	−0.501314	−	0.868301i	0.498685	−	0.866783i	$-0.333817\pi$
$648$	−2.76260	−	4.78497i	−0.108525	−	0.187971i
$649$	−1.07248	+	0.287369i	−0.0420984	+	0.0112802i
$650$	−10.5484	−	11.9074i	−0.413744	−	0.467045i
$651$	−23.1662	+	6.20736i	−0.907955	+	0.243286i
$652$			6.30298i			0.246844i
$653$	20.5247	−	11.8499i	0.803193	−	0.463724i	−0.0413936	−	0.999143i	$-0.513180\pi$
$653$	20.5247	−	11.8499i	0.803193	−	0.463724i	0.844586	+	0.535419i	$0.179846\pi$
$654$	8.19333	−	14.1913i	0.320385	−	0.554922i
$655$	−17.9185	−	2.91228i	−0.700134	−	0.113792i
$656$			8.87367i			0.346459i
$657$	−9.48030	−	35.3810i	−0.369862	−	1.38034i
$658$		−	25.6492i		−	0.999910i
$659$	0.853736	+	1.47871i	0.0332568	+	0.0576025i	0.882175	−	0.470922i	$-0.156079\pi$
$659$	0.853736	+	1.47871i	0.0332568	+	0.0576025i	−0.848918	+	0.528525i	$0.822745\pi$
$660$	−0.623642	−	0.101360i	−0.0242752	−	0.00394544i
$661$	14.2931	+	3.82982i	0.555936	+	0.148963i	0.525839	−	0.850584i	$-0.323752\pi$
$661$	14.2931	+	3.82982i	0.555936	+	0.148963i	0.0300975	+	0.999547i	$0.490418\pi$
$662$	6.05986	−	22.6157i	0.235523	−	0.878984i
$663$	38.9036	+	10.4242i	1.51089	+	0.404842i
$664$	−3.32377	−	12.4045i	−0.128987	−	0.481386i
$665$	12.0926	+	16.7862i	0.468929	+	0.650941i
$666$	22.0084	−	25.9652i	0.852808	−	1.00613i
$667$	−6.89932	−	6.89932i	−0.267143	−	0.267143i
$668$	−3.65634	−	2.11099i	−0.141468	−	0.0816766i
$669$	−5.87868	−	10.1822i	−0.227283	−	0.393666i
$670$	5.65464	+	14.9106i	0.218458	+	0.576049i
$671$	−0.255857	+	0.954872i	−0.00987726	+	0.0368624i
$672$			5.56048i			0.214500i
$673$	−10.9026	−	2.92133i	−0.420263	−	0.112609i	0.0424892	−	0.999097i	$-0.486471\pi$
$673$	−10.9026	−	2.92133i	−0.420263	−	0.112609i	−0.462752	+	0.886488i	$0.653138\pi$
$674$	−4.89828	+	4.89828i	−0.188675	+	0.188675i
$675$	37.9823	+	2.29851i	1.46194	+	0.0884696i
$676$	−2.87780			−0.110685
$677$	24.5713	−	24.5713i	0.944353	−	0.944353i	−0.0541785	−	0.998531i	$-0.517254\pi$
$677$	24.5713	−	24.5713i	0.944353	−	0.944353i	0.998531	+	0.0541785i	$0.0172540\pi$
$678$	−11.9836	−	44.7234i	−0.460227	−	1.71759i
$679$	32.3758	+	8.67508i	1.24247	+	0.332919i
$680$	−7.83391	+	5.64344i	−0.300417	+	0.216416i
$681$	18.4922	+	69.0137i	0.708621	+	2.64461i
$682$	−0.401525	+	0.107588i	−0.0153752	+	0.00411977i
$683$	13.5237	−	23.4238i	0.517471	−	0.896285i	−0.482323	−	0.875993i	$-0.660207\pi$
$683$	13.5237	−	23.4238i	0.517471	−	0.896285i	0.999794	−	0.0202923i	$-0.00645967\pi$
$684$	−7.06520	+	26.3677i	−0.270145	+	1.00819i
$685$	43.5525	−	16.5166i	1.66405	−	0.631068i
$686$	5.10652	+	19.0578i	0.194968	+	0.727630i
$687$	15.5837	+	58.1593i	0.594557	+	2.21892i
$688$	3.78875	−	6.56230i	0.144445	−	0.250185i
$689$	3.37593	−	3.37593i	0.128613	−	0.128613i
$690$	−12.0582	+	4.57287i	−0.459046	+	0.174086i
$691$	20.1538	+	11.6358i	0.766688	+	0.442648i	0.831692	−	0.555237i	$-0.187373\pi$
$691$	20.1538	+	11.6358i	0.766688	+	0.442648i	−0.0650037	+	0.997885i	$0.520706\pi$
$692$	2.21869	+	2.21869i	0.0843420	+	0.0843420i
$693$	0.723243	+	0.723243i	0.0274737	+	0.0274737i
$694$	7.92416	−	13.7251i	0.300797	−	0.520996i
$695$	−4.75055	−	6.59445i	−0.180199	−	0.250142i
$696$	12.5939	−	7.27111i	0.477372	−	0.275611i
$697$	38.3151			1.45129
$698$	−19.6627	+	11.3523i	−0.744243	+	0.429689i
$699$	−74.9814	+	43.2905i	−2.83606	+	1.63740i
$700$	−7.91101	−	5.22885i	−0.299008	−	0.197632i
$701$	−8.64460	+	2.31631i	−0.326502	+	0.0874859i	−0.418347	−	0.908287i	$-0.637390\pi$
$701$	−8.64460	+	2.31631i	−0.326502	+	0.0874859i	0.0918448	+	0.995773i	$0.470724\pi$
$702$	−17.1210	+	17.1210i	−0.646189	+	0.646189i
$703$	−29.5732	+	2.43916i	−1.11537	+	0.0919946i
$704$			0.0963763i			0.00363232i
$705$	8.91119	+	88.2117i	0.335615	+	3.32224i
$706$	−12.4888	+	7.21039i	−0.470021	+	0.271367i
$707$	13.1518	+	3.52402i	0.494625	+	0.132534i
$708$	−16.8883	−	29.2514i	−0.634701	−	1.09933i
$709$	−31.3140	+	31.3140i	−1.17602	+	1.17602i	−0.195272	+	0.980749i	$0.562559\pi$
$709$	−31.3140	+	31.3140i	−1.17602	+	1.17602i	−0.980749	+	0.195272i	$0.937441\pi$
$710$	−1.75952	+	3.90936i	−0.0660337	+	0.146716i
$711$	11.8520	+	11.8520i	0.444485	+	0.444485i
$712$	−4.69445	+	1.25787i	−0.175932	+	0.0471408i
$713$	−5.99952	+	5.99952i	−0.224684	+	0.224684i
$714$	24.0092			0.898523
$715$	0.0689124	+	0.682163i	0.00257718	+	0.0255114i
$716$	−3.44815	+	12.8687i	−0.128864	+	0.480925i
$717$	−18.4030			−0.687273
$718$	3.92188	+	2.26430i	0.146363	+	0.0845030i
$719$	37.9439	+	21.9069i	1.41507	+	0.816991i	0.995860	−	0.0908979i	$-0.0289737\pi$
$719$	37.9439	+	21.9069i	1.41507	+	0.816991i	0.419210	+	0.907889i	$0.362307\pi$
$720$	−1.25762	−	12.4491i	−0.0468686	−	0.463952i
$721$	−16.3078	−	4.36967i	−0.607336	−	0.162735i
$722$	4.15515	−	2.39898i	0.154639	−	0.0892808i
$723$	42.2457	+	24.3906i	1.57114	+	0.907095i
$724$	−7.22853	+	12.5202i	−0.268646	+	0.465309i
$725$	−1.49806	+	24.7551i	−0.0556365	+	0.919382i
$726$	−22.7852	−	22.7852i	−0.845638	−	0.845638i
$727$	−22.0033	−	38.1108i	−0.816056	−	1.41345i	−0.908567	−	0.417738i	$-0.862823\pi$
$727$	−22.0033	−	38.1108i	−0.816056	−	1.41345i	0.0925117	−	0.995712i	$-0.470510\pi$
$728$	5.82843	−	1.56172i	0.216016	−	0.0578813i
$729$			36.0197i			1.33406i
$730$	2.34813	−	14.4474i	0.0869082	−	0.534723i
$731$	−28.3350	−	16.3592i	−1.04801	−	0.605067i
$732$	−30.0727			−1.11152
$733$	−8.78453	+	32.7843i	−0.324464	+	1.21092i	0.590385	+	0.807121i	$0.298976\pi$
$733$	−8.78453	+	32.7843i	−0.324464	+	1.21092i	−0.914850	+	0.403795i	$0.867691\pi$
$734$	23.0516	+	23.0516i	0.850849	+	0.850849i
$735$	−7.91077	−	20.8598i	−0.291793	−	0.769426i
$736$	0.983564	+	1.70358i	0.0362546	+	0.0627949i
$737$	0.177892	−	0.663902i	0.00655274	−	0.0244552i
$738$	−24.8274	+	43.0024i	−0.913911	+	1.58294i
$739$	−4.75282			−0.174835			−0.0874176	−	0.996172i	$-0.527861\pi$
$739$	−4.75282			−0.174835			−0.0874176	+	0.996172i	$0.527861\pi$
$740$	12.2782	−	5.85204i	0.451355	−	0.215125i
$741$	45.5040			1.67163
$742$	1.42302	−	2.46475i	0.0522408	−	0.0904837i
$743$	12.4596	−	46.5000i	0.457100	−	1.70592i	−0.224739	−	0.974419i	$-0.572153\pi$
$743$	12.4596	−	46.5000i	0.457100	−	1.70592i	0.681839	−	0.731502i	$-0.261180\pi$
$744$	−6.32282	−	10.9514i	−0.231806	−	0.401500i
$745$	28.3552	+	12.7621i	1.03885	+	0.467567i
$746$	15.0208	+	15.0208i	0.549951	+	0.549951i
$747$	18.5990	−	69.4123i	0.680501	−	2.53966i
$748$	0.416137			0.0152155
$749$	−20.2466	−	11.6894i	−0.739794	−	0.427120i
$750$	29.0239	+	15.2343i	1.05980	+	0.556280i
$751$			30.2191i			1.10271i	0.834271	+	0.551355i	$0.185889\pi$
$751$			30.2191i			1.10271i	−0.834271	+	0.551355i	$0.814111\pi$
$752$	13.0631	−	3.50026i	0.476364	−	0.127641i
$753$	−26.0120	−	45.0541i	−0.947930	−	1.64186i
$754$	−11.1586	−	11.1586i	−0.406374	−	0.406374i
$755$	−0.919983	−	9.10690i	−0.0334816	−	0.331434i
$756$	−7.21682	+	12.4999i	−0.262473	+	0.454617i
$757$	−8.29774	−	4.79070i	−0.301587	−	0.174121i	0.341569	−	0.939857i	$-0.389042\pi$
$757$	−8.29774	−	4.79070i	−0.301587	−	0.174121i	−0.643155	+	0.765736i	$0.722375\pi$
$758$	−3.13757	+	1.81148i	−0.113962	+	0.0657958i
$759$	0.536894	+	0.143860i	0.0194880	+	0.00522180i
$760$	−6.89898	+	8.44949i	−0.250252	+	0.306495i
$761$	13.1033	+	7.56520i	0.474995	+	0.274238i	0.718328	−	0.695704i	$-0.244908\pi$
$761$	13.1033	+	7.56520i	0.474995	+	0.274238i	−0.243333	+	0.969943i	$0.578241\pi$
$762$	23.5095	+	13.5732i	0.851659	+	0.491706i
$763$	−10.6003			−0.383757
$764$	3.15200	−	11.7634i	0.114035	−	0.425586i
$765$	−53.7533	+	5.43019i	−1.94345	+	0.196329i
$766$	−34.2397			−1.23713
$767$	−25.9177	+	25.9177i	−0.935833	+	0.935833i
$768$	−2.83195	+	0.758819i	−0.102189	+	0.0273815i
$769$	5.48039	+	5.48039i	0.197628	+	0.197628i	0.798982	−	0.601354i	$-0.205372\pi$
$769$	5.48039	+	5.48039i	0.197628	+	0.197628i	−0.601354	+	0.798982i	$0.705372\pi$
$770$	0.144929	+	0.382161i	0.00522288	+	0.0137721i
$771$	−30.0743	+	30.0743i	−1.08310	+	1.08310i
$772$	11.1896	+	19.3809i	0.402721	+	0.697533i
$773$	27.0896	+	7.25863i	0.974344	+	0.261075i	0.710661	−	0.703535i	$-0.248396\pi$
$773$	27.0896	+	7.25863i	0.974344	+	0.261075i	0.263683	+	0.964609i	$0.415063\pi$
$774$	36.7210	−	21.2009i	1.31991	−	0.762050i
$775$	21.5266	+	1.30269i	0.773258	+	0.0467938i
$776$			17.6729i			0.634419i
$777$	−33.2796	−	6.03892i	−1.19390	−	0.216645i
$778$	−5.08115	+	5.08115i	−0.182168	+	0.182168i
$779$	41.8135	−	11.2039i	1.49813	−	0.401422i
$780$	−19.5023	+	7.39595i	−0.698294	+	0.264818i
$781$	0.160021	−	0.0923883i	0.00572601	−	0.00330591i
$782$	7.35579	−	4.24687i	0.263043	−	0.151868i
$783$	37.7480			1.34900
$784$	−2.94709	+	1.70150i	−0.105253	+	0.0607679i
$785$	−6.52565	+	40.1506i	−0.232910	+	1.43304i
$786$	−11.9012	+	20.6135i	−0.424502	+	0.735258i
$787$	7.92132	+	7.92132i	0.282365	+	0.282365i	0.834051	−	0.551687i	$-0.186016\pi$
$787$	7.92132	+	7.92132i	0.282365	+	0.282365i	−0.551687	+	0.834051i	$0.686016\pi$
$788$	−13.0208	−	13.0208i	−0.463847	−	0.463847i
$789$	35.7897	+	20.6632i	1.27415	+	0.735628i
$790$	2.37500	+	6.26260i	0.0844986	+	0.222813i
$791$	−21.1789	+	21.1789i	−0.753036	+	0.753036i
$792$	−0.269649	+	0.467046i	−0.00958156	+	0.0165958i
$793$	8.44627	+	31.5219i	0.299936	+	1.11938i
$794$	−4.11477	−	15.3565i	−0.146028	−	0.544983i
$795$	−4.03768	+	8.97104i	−0.143202	+	0.318170i
$796$	−2.14222	+	7.99489i	−0.0759291	+	0.283371i
$797$	−12.1439	+	21.0338i	−0.430158	+	0.745055i	−0.996887	−	0.0788495i	$-0.974875\pi$
$797$	−12.1439	+	21.0338i	−0.430158	+	0.745055i	0.566729	+	0.823904i	$0.308209\pi$
$798$	26.2015	−	7.02066i	0.927522	−	0.248529i
$799$	−15.1135	−	56.4045i	−0.534679	−	1.99545i
$800$	1.58346	−	4.74264i	0.0559839	−	0.167678i
$801$	−26.2690	−	7.03876i	−0.928170	−	0.248702i
$802$	1.85292	+	6.91518i	0.0654287	+	0.244183i
$803$	−0.446090	+	0.446090i	−0.0157422	+	0.0157422i
$804$	20.9089			0.737402
$805$	6.46195	+	5.27616i	0.227754	+	0.185960i
$806$	−9.70334	+	9.70334i	−0.341786	+	0.341786i
$807$	57.5638	+	15.4242i	2.02634	+	0.542957i
$808$			7.17914i			0.252561i
$809$	8.02029	−	29.9321i	0.281978	−	1.05236i	−0.669041	−	0.743226i	$-0.733295\pi$
$809$	8.02029	−	29.9321i	0.281978	−	1.05236i	0.951019	−	0.309132i	$-0.100038\pi$
$810$	5.07069	−	11.2662i	0.178166	−	0.395854i
$811$	25.6584	+	44.4416i	0.900987	+	1.56055i	0.826216	+	0.563354i	$0.190489\pi$
$811$	25.6584	+	44.4416i	0.900987	+	1.56055i	0.0747710	+	0.997201i	$0.476177\pi$
$812$	−8.14684	−	4.70358i	−0.285898	−	0.165063i
$813$	6.91119	+	6.91119i	0.242386	+	0.242386i
$814$	−0.576815	−	0.104669i	−0.0202173	−	0.00366864i
$815$	−11.4356	+	8.23804i	−0.400571	+	0.288566i
$816$	3.27646	+	12.2279i	0.114699	+	0.428062i
$817$	−35.7058	−	9.56735i	−1.24919	−	0.334719i
$818$	5.10003	−	19.0336i	0.178319	−	0.665494i
$819$	32.6144	+	8.73901i	1.13964	+	0.305366i
$820$	−16.0996	+	11.5980i	−0.562223	+	0.405018i
$821$	−12.6067	−	21.8355i	−0.439977	−	0.762063i	0.557710	−	0.830036i	$-0.311680\pi$
$821$	−12.6067	−	21.8355i	−0.439977	−	0.762063i	−0.997687	+	0.0679727i	$0.978347\pi$
$822$		−	61.0729i		−	2.13016i
$823$	3.23308	+	12.0660i	0.112698	+	0.420595i	0.999104	−	0.0423133i	$-0.0134727\pi$
$823$	3.23308	+	12.0660i	0.112698	+	0.420595i	−0.886406	+	0.462908i	$0.846806\pi$
$824$		−	8.90190i		−	0.310112i
$825$	−0.631206	−	1.26396i	−0.0219758	−	0.0440055i
$826$	−10.9248	+	18.9223i	−0.380123	+	0.658392i
$827$	42.9903	−	24.8205i	1.49492	−	0.863092i	0.494937	−	0.868929i	$-0.335191\pi$
$827$	42.9903	−	24.8205i	1.49492	−	0.863092i	0.999983	+	0.00583640i	$0.00185780\pi$
$828$			11.0076i			0.382539i
$829$	−11.4823	+	3.07668i	−0.398798	+	0.106858i	−0.452643	−	0.891692i	$-0.649519\pi$
$829$	−11.4823	+	3.07668i	−0.398798	+	0.106858i	0.0538452	+	0.998549i	$0.482852\pi$
$830$	18.1614	−	22.2431i	0.630391	−	0.772068i
$831$	18.9470	−	5.07684i	0.657266	−	0.176114i
$832$	1.59077	+	2.75529i	0.0551500	+	0.0955227i
$833$	7.34680	+	12.7250i	0.254552	+	0.440896i
$834$	−10.2932	+	2.75806i	−0.356426	+	0.0955039i
$835$	−0.948868	−	9.39282i	−0.0328369	−	0.325052i
$836$	0.454134	−	0.121685i	0.0157066	−	0.00420856i
$837$		−	32.8250i		−	1.13460i
$838$	25.6113	−	14.7867i	0.884727	−	0.510797i
$839$	21.9644	−	38.0435i	0.758295	−	1.31341i	−0.185424	−	0.982659i	$-0.559366\pi$
$839$	21.9644	−	38.0435i	0.758295	−	1.31341i	0.943719	−	0.330747i	$-0.107301\pi$
$840$	−10.0884	+	7.26758i	−0.348085	+	0.250755i
$841$		−	4.39761i		−	0.151642i
$842$	−5.70876	−	21.3054i	−0.196737	−	0.734233i
$843$		−	52.5008i		−	1.80822i
$844$	0.0188401	+	0.0326320i	0.000648503	+	0.00112324i
$845$	−3.76130	−	5.22123i	−0.129393	−	0.179616i
$846$	73.0981	+	19.5866i	2.51317	+	0.673401i
$847$	−5.39501	+	20.1344i	−0.185375	+	0.691828i
$848$	1.44949	+	0.388390i	0.0497757	+	0.0133374i
$849$	−5.98262	−	22.3274i	−0.205323	−	0.766276i
$850$	−20.4780	−	6.83714i	−0.702388	−	0.234512i
$851$	−11.2642	+	4.03649i	−0.386131	+	0.138369i
$852$	3.97469	+	3.97469i	0.136171	+	0.136171i
$853$	−25.0316	−	14.4520i	−0.857067	−	0.494828i	0.00596187	−	0.999982i	$-0.498102\pi$
$853$	−25.0316	−	14.4520i	−0.857067	−	0.494828i	−0.863029	+	0.505154i	$0.831436\pi$
$854$	9.72683	+	16.8474i	0.332845	+	0.576505i
$855$	−57.0735	+	21.6443i	−1.95187	+	0.740219i
$856$	3.19041	−	11.9068i	0.109046	−	0.406965i
$857$			46.5332i			1.58954i	0.606908	+	0.794772i	$0.292410\pi$
$857$			46.5332i			1.58954i	−0.606908	+	0.794772i	$0.707590\pi$
$858$	0.868348	+	0.232673i	0.0296449	+	0.00794333i
$859$	−17.0191	+	17.0191i	−0.580685	+	0.580685i	−0.935091	−	0.354407i	$-0.884683\pi$
$859$	−17.0191	+	17.0191i	−0.580685	+	0.580685i	0.354407	+	0.935091i	$0.384683\pi$
$860$	16.8580	−	1.70300i	0.574853	−	0.0580719i
$861$	49.3419			1.68157
$862$	−8.79947	+	8.79947i	−0.299711	+	0.299711i
$863$	10.8070	+	40.3324i	0.367876	+	1.37293i	0.863480	+	0.504383i	$0.168280\pi$
$863$	10.8070	+	40.3324i	0.367876	+	1.37293i	−0.495605	+	0.868548i	$0.665053\pi$
$864$	−7.35105	−	1.96971i	−0.250088	−	0.0670108i
$865$	−1.12556	+	6.92525i	−0.0382700	+	0.235466i
$866$	−3.51203	−	13.1071i	−0.119344	−	0.445397i
$867$	4.65493	−	1.24728i	0.158090	−	0.0423600i
$868$	−4.09015	+	7.08434i	−0.138829	+	0.240458i
$869$	0.0747162	−	0.278845i	0.00253457	−	0.00945916i
$870$	29.6524	+	13.3459i	1.00531	+	0.452470i
$871$	−5.87251	−	21.9165i	−0.198982	−	0.742613i
$872$	−1.44659	−	5.39874i	−0.0489876	−	0.182824i
$873$	−49.4465	+	85.6439i	−1.67351	+	2.89861i
$874$	6.78559	−	6.78559i	0.229526	−	0.229526i
$875$	−0.852980	−	21.1872i	−0.0288360	−	0.716258i
$876$	−16.6203	−	9.59575i	−0.561549	−	0.324210i
$877$	20.4154	+	20.4154i	0.689378	+	0.689378i	0.962094	−	0.272717i	$-0.0879222\pi$
$877$	20.4154	+	20.4154i	0.689378	+	0.689378i	−0.272717	+	0.962094i	$0.587922\pi$
$878$	−12.6593	−	12.6593i	−0.427229	−	0.427229i
$879$	24.9147	−	43.1535i	0.840352	−	1.45553i
$880$	−0.174857	+	0.125965i	−0.00589442	+	0.00424626i
$881$	7.08357	−	4.08970i	0.238652	−	0.137786i	−0.375905	−	0.926658i	$-0.622668\pi$
$881$	7.08357	−	4.08970i	0.238652	−	0.137786i	0.614557	+	0.788873i	$0.289335\pi$
$882$	−19.0424			−0.641190
$883$	28.3787	−	16.3845i	0.955021	−	0.551382i	0.0603838	−	0.998175i	$-0.480768\pi$
$883$	28.3787	−	16.3845i	0.955021	−	0.551382i	0.894637	+	0.446794i	$0.147434\pi$
$884$	11.8969	−	6.86869i	0.400137	−	0.231019i
$885$	30.9980	−	68.8724i	1.04199	−	2.31512i
$886$	−17.1234	+	4.58819i	−0.575271	+	0.154143i
$887$	−1.90204	+	1.90204i	−0.0638642	+	0.0638642i	−0.738318	−	0.674453i	$-0.764379\pi$
$887$	−1.90204	+	1.90204i	−0.0638642	+	0.0638642i	0.674453	+	0.738318i	$0.264379\pi$
$888$	−1.46593	−	17.7734i	−0.0491932	−	0.596436i
$889$		−	17.5607i		−	0.588966i
$890$	−8.41786	−	6.87316i	−0.282167	−	0.230389i
$891$	−0.461157	+	0.266249i	−0.0154494	+	0.00891969i
$892$	−3.87357	−	1.03792i	−0.129697	−	0.0347521i
$893$	−32.9871	−	57.1353i	−1.10387	−	1.91196i
$894$	28.8290	−	28.8290i	0.964187	−	0.964187i
$895$	−27.8546	+	10.5634i	−0.931076	+	0.353097i
$896$	1.34108	+	1.34108i	0.0448024	+	0.0448024i
$897$	17.7238	−	4.74907i	0.591779	−	0.158567i
$898$	15.2137	−	15.2137i	0.507687	−	0.507687i
$899$	21.3938			0.713523
$900$	20.9429	−	18.5528i	0.698097	−	0.618427i
$901$	1.67700	−	6.25866i	0.0558691	−	0.208506i
$902$	0.855212			0.0284754
$903$	−36.4895	−	21.0672i	−1.21430	−	0.701074i
$904$	−13.6766	−	7.89621i	−0.454878	−	0.262624i
$905$	−32.1633	+	3.24915i	−1.06914	+	0.108005i
$906$	−11.5925	−	3.10619i	−0.385134	−	0.103196i
$907$	−25.3091	+	14.6122i	−0.840376	+	0.485192i	−0.857392	−	0.514664i	$-0.827917\pi$
$907$	−25.3091	+	14.6122i	−0.840376	+	0.485192i	0.0170158	+	0.999855i	$0.494583\pi$
$908$	21.1047	+	12.1848i	0.700385	+	0.404368i
$909$	−20.0863	+	34.7906i	−0.666222	+	1.15393i
$910$	10.4512	+	8.53341i	0.346456	+	0.282880i
$911$	−5.43281	−	5.43281i	−0.179997	−	0.179997i	0.611357	−	0.791355i	$-0.290624\pi$
$911$	−5.43281	−	5.43281i	−0.179997	−	0.179997i	−0.791355	+	0.611357i	$0.790624\pi$
$912$	7.15125	+	12.3863i	0.236801	+	0.410152i
$913$	−1.19550	+	0.320332i	−0.0395652	+	0.0106015i
$914$			25.1993i			0.833519i
$915$	−39.3053	−	54.5614i	−1.29939	−	1.80374i
$916$	17.7854	+	10.2684i	0.587647	+	0.339278i
$917$	15.3974			0.508468
$918$	−8.50488	+	31.7406i	−0.280703	+	1.04760i
$919$	26.3924	+	26.3924i	0.870604	+	0.870604i	0.992538	−	0.121934i	$-0.0389096\pi$
$919$	26.3924	+	26.3924i	0.870604	+	0.870604i	−0.121934	+	0.992538i	$0.538910\pi$
$920$	−1.80531	+	4.01109i	−0.0595192	+	0.132242i
$921$	28.6613	+	49.6428i	0.944422	+	1.63579i
$922$	−4.34385	+	16.2115i	−0.143057	+	0.533896i
$923$	3.04989	−	5.28256i	0.100388	−	0.173878i
$924$	0.535898			0.0176298
$925$	26.6651	+	14.6278i	0.876743	+	0.480959i
$926$	29.2133			0.960010
$927$	24.9064	−	43.1392i	0.818034	−	1.41688i
$928$	1.28376	−	4.79107i	0.0421416	−	0.157275i
$929$	0.934689	+	1.61893i	0.0306662	+	0.0531153i	0.880951	−	0.473207i	$-0.156904\pi$
$929$	0.934689	+	1.61893i	0.0306662	+	0.0531153i	−0.850285	+	0.526323i	$0.823570\pi$
$930$	11.6054	−	25.7852i	0.380555	−	0.845530i
$931$	11.7386	+	11.7386i	0.384718	+	0.384718i
$932$	−7.64323	+	28.5249i	−0.250362	+	0.934365i
$933$	−22.5572			−0.738491
$934$	−24.6437	−	14.2280i	−0.806365	−	0.465555i
$935$	0.543894	+	0.755003i	0.0177872	+	0.0246912i
$936$			17.8031i			0.581913i
$937$	−4.03125	+	1.08017i	−0.131695	+	0.0352877i	−0.324065	−	0.946035i	$-0.605050\pi$
$937$	−4.03125	+	1.08017i	−0.131695	+	0.0352877i	0.192369	+	0.981323i	$0.438383\pi$
$938$	−6.76286	−	11.7136i	−0.220815	−	0.382463i
$939$	−48.8934	−	48.8934i	−1.59558	−	1.59558i
$940$	23.4242	+	19.1258i	0.764013	+	0.623814i
$941$	18.1366	−	31.4135i	0.591236	−	1.02405i	−0.402830	−	0.915275i	$-0.631973\pi$
$941$	18.1366	−	31.4135i	0.591236	−	1.02405i	0.994066	−	0.108776i	$-0.0346932\pi$
$942$	46.1893	+	26.6674i	1.50493	+	0.868871i
$943$	15.1170	−	8.72782i	0.492278	−	0.284217i
$944$	−11.1280	−	2.98174i	−0.362186	−	0.0970474i
$945$	−32.1112	+	3.24389i	−1.04458	+	0.105524i
$946$	−0.632451	−	0.365145i	−0.0205627	−	0.0118719i
$947$	−21.1038	−	12.1843i	−0.685781	−	0.395936i	0.116248	−	0.993220i	$-0.462913\pi$
$947$	−21.1038	−	12.1843i	−0.685781	−	0.395936i	−0.802030	+	0.597284i	$0.796246\pi$
$948$	8.78194			0.285224
$949$	−5.39015	+	20.1163i	−0.174972	+	0.653003i
$950$	−24.3470	−	1.47337i	−0.789922	−	0.0478023i
$951$	45.8001			1.48517
$952$	5.79057	−	5.79057i	0.187673	−	0.187673i
$953$	−21.8781	+	5.86221i	−0.708700	+	0.189896i	−0.595124	−	0.803634i	$-0.702897\pi$
$953$	−21.8781	+	5.86221i	−0.708700	+	0.189896i	−0.113576	+	0.993529i	$0.536230\pi$
$954$	5.93766	+	5.93766i	0.192239	+	0.192239i
$955$	25.4623	−	9.65618i	0.823939	−	0.312467i
$956$	−4.43845	+	4.43845i	−0.143550	+	0.143550i
$957$	−0.700763	−	1.21376i	−0.0226524	−	0.0392352i
$958$	−24.5496	−	6.57805i	−0.793162	−	0.212527i
$959$	−34.2143	+	19.7536i	−1.10484	+	0.637878i
$960$	−5.07812	−	4.14626i	−0.163895	−	0.133820i
$961$			12.3964i			0.399883i
$962$	−18.2182	+	6.52843i	−0.587377	+	0.210485i
$963$	48.7747	−	48.7747i	1.57174	−	1.57174i
$964$	16.0714	−	4.30632i	0.517625	−	0.138697i
$965$	−20.5381	+	45.6323i	−0.661146	+	1.46896i
$966$	9.47273	−	5.46909i	0.304780	−	0.175965i
$967$	35.1294	−	20.2820i	1.12969	−	0.652225i	0.185831	−	0.982582i	$-0.440502\pi$
$967$	35.1294	−	20.2820i	1.12969	−	0.652225i	0.943856	+	0.330357i	$0.107169\pi$
$968$	−10.9907			−0.353255
$969$	53.4821	−	30.8779i	1.71809	−	0.991942i
$970$	−32.0641	+	23.0986i	−1.02952	+	0.741651i
$971$	12.4943	−	21.6407i	0.400960	−	0.694483i	−0.592882	−	0.805289i	$-0.702010\pi$
$971$	12.4943	−	21.6407i	0.400960	−	0.694483i	0.993842	+	0.110806i	$0.0353432\pi$
$972$	4.68955	+	4.68955i	0.150417	+	0.150417i
$973$	4.87440	+	4.87440i	0.156266	+	0.156266i
$974$	−30.4972	−	17.6075i	−0.977192	−	0.564182i
$975$	−38.9082	−	25.7167i	−1.24606	−	0.823594i
$976$	−7.25297	+	7.25297i	−0.232162	+	0.232162i
$977$	4.30875	−	7.46297i	0.137849	−	0.238762i	−0.788833	−	0.614607i	$-0.789314\pi$
$977$	4.30875	−	7.46297i	0.137849	−	0.238762i	0.926682	+	0.375846i	$0.122648\pi$
$978$	4.78282	+	17.8497i	0.152938	+	0.570771i
$979$	0.121229	+	0.452434i	0.00387451	+	0.0144599i
$980$	−6.93892	−	3.12306i	−0.221656	−	0.0997626i
$981$	8.09475	−	30.2100i	0.258445	−	0.964532i
$982$	−21.2042	+	36.7268i	−0.676655	+	1.17200i
$983$	16.7114	−	4.47782i	0.533012	−	0.142820i	0.0177332	−	0.999843i	$-0.494355\pi$
$983$	16.7114	−	4.47782i	0.533012	−	0.142820i	0.515279	+	0.857023i	$0.327688\pi$
$984$	6.73351	+	25.1298i	0.214656	+	0.801109i
$985$	6.60554	−	40.6421i	0.210470	−	1.29497i
$986$	−20.6871	−	5.54308i	−0.658810	−	0.176528i
$987$	−19.4631	−	72.6373i	−0.619517	−	2.31207i
$988$	10.9747	−	10.9747i	0.349151	−	0.349151i
$989$	−14.9059			−0.473980
$990$	−1.19980	+	0.121204i	−0.0381322	+	0.00385213i
$991$	−21.5501	+	21.5501i	−0.684562	+	0.684562i	−0.961025	−	0.276463i	$-0.910838\pi$
$991$	−21.5501	+	21.5501i	−0.684562	+	0.684562i	0.276463	+	0.961025i	$0.410838\pi$
$992$	−4.16622	−	1.11634i	−0.132278	−	0.0354437i
$993$		−	68.6449i		−	2.17838i
$994$	0.941115	−	3.51229i	0.0298504	−	0.111403i
$995$	−17.3051	+	6.56271i	−0.548610	+	0.208052i
$996$	−18.8255	−	32.6067i	−0.596508	−	1.03318i
$997$	−16.8877	−	9.75014i	−0.534840	−	0.308790i	0.208145	−	0.978098i	$-0.433257\pi$
$997$	−16.8877	−	9.75014i	−0.534840	−	0.308790i	−0.742985	+	0.669308i	$0.766591\pi$
$998$	2.89190	+	2.89190i	0.0915414	+	0.0915414i
$999$	19.7723	−	41.8570i	0.625568	−	1.32430i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.c.97.2	✓	8
5.3	odd	4		370.2.r.c.23.2	yes	8
37.29	odd	12		370.2.r.c.177.2	yes	8
185.103	even	12	inner	370.2.q.c.103.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.c.97.2	✓	8	1.1	even	1	trivial
370.2.q.c.103.2	yes	8	185.103	even	12	inner
370.2.r.c.23.2	yes	8	5.3	odd	4
370.2.r.c.177.2	yes	8	37.29	odd	12

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.q (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(0.758819 - 2.83195i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.917738 - 2.03906i) q^{5} +(-2.07313 - 2.07313i) q^{6} +(-0.490870 + 1.83195i) q^{7} -1.00000 q^{8} +(-4.84607 - 2.79788i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(0.758819 - 2.83195i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.917738 - 2.03906i) q^{5} +(-2.07313 - 2.07313i) q^{6} +(-0.490870 + 1.83195i) q^{7} -1.00000 q^{8} +(-4.84607 - 2.79788i) q^{9} +(-1.30701 - 1.81431i) q^{10} +0.0963763i q^{11} +(-2.83195 + 0.758819i) q^{12} +(1.59077 + 2.75529i) q^{13} +(1.34108 + 1.34108i) q^{14} +(-5.07812 - 4.14626i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(3.73936 + 2.15892i) q^{17} +(-4.84607 + 2.79788i) q^{18} +(4.71209 + 1.26260i) q^{19} +(-2.22474 + 0.224745i) q^{20} +(4.81552 + 2.78024i) q^{21} +(0.0834643 + 0.0481882i) q^{22} +1.96713 q^{23} +(-0.758819 + 2.83195i) q^{24} +(-3.31552 - 3.74264i) q^{25} +3.18154 q^{26} +(-5.38134 + 5.38134i) q^{27} +(1.83195 - 0.490870i) q^{28} +(-3.50731 - 3.50731i) q^{29} +(-6.12983 + 2.32465i) q^{30} +(-3.04989 + 3.04989i) q^{31} +(0.500000 + 0.866025i) q^{32} +(0.272933 + 0.0731322i) q^{33} +(3.73936 - 2.15892i) q^{34} +(3.28497 + 2.68216i) q^{35} +5.59575i q^{36} +(-5.72620 + 2.05197i) q^{37} +(3.44949 - 3.44949i) q^{38} +(9.00997 - 2.41421i) q^{39} +(-0.917738 + 2.03906i) q^{40} +(7.68482 - 4.43684i) q^{41} +(4.81552 - 2.78024i) q^{42} -7.57749 q^{43} +(0.0834643 - 0.0481882i) q^{44} +(-10.1525 + 7.31369i) q^{45} +(0.983564 - 1.70358i) q^{46} +(-9.56288 - 9.56288i) q^{47} +(2.07313 + 2.07313i) q^{48} +(2.94709 + 1.70150i) q^{49} +(-4.89898 + 1.00000i) q^{50} +(8.95145 - 8.95145i) q^{51} +(1.59077 - 2.75529i) q^{52} +(-0.388390 - 1.44949i) q^{53} +(1.96971 + 7.35105i) q^{54} +(0.196517 + 0.0884482i) q^{55} +(0.490870 - 1.83195i) q^{56} +(7.15125 - 12.3863i) q^{57} +(-4.79107 + 1.28376i) q^{58} +(2.98174 + 11.1280i) q^{59} +(-1.05171 + 6.47091i) q^{60} +(9.90775 + 2.65477i) q^{61} +(1.11634 + 4.16622i) q^{62} +(7.50436 - 7.50436i) q^{63} +1.00000 q^{64} +(7.07812 - 0.715035i) q^{65} +(0.199801 - 0.199801i) q^{66} +(-6.88865 - 1.84581i) q^{67} -4.31784i q^{68} +(1.49269 - 5.57081i) q^{69} +(3.96530 - 1.50378i) q^{70} +(-0.958620 - 1.66038i) q^{71} +(4.84607 + 2.79788i) q^{72} +(4.62863 + 4.62863i) q^{73} +(-1.08604 + 5.98502i) q^{74} +(-13.1149 + 6.54939i) q^{75} +(-1.26260 - 4.71209i) q^{76} +(-0.176557 - 0.0473082i) q^{77} +(2.41421 - 9.00997i) q^{78} +(-2.89329 - 0.775255i) q^{79} +(1.30701 + 1.81431i) q^{80} +(2.76260 + 4.78497i) q^{81} -8.87367i q^{82} +(3.32377 + 12.4045i) q^{83} -5.56048i q^{84} +(7.83391 - 5.64344i) q^{85} +(-3.78875 + 6.56230i) q^{86} +(-12.5939 + 7.27111i) q^{87} -0.0963763i q^{88} +(4.69445 - 1.25787i) q^{89} +(1.25762 + 12.4491i) q^{90} +(-5.82843 + 1.56172i) q^{91} +(-0.983564 - 1.70358i) q^{92} +(6.32282 + 10.9514i) q^{93} +(-13.0631 + 3.50026i) q^{94} +(6.89898 - 8.44949i) q^{95} +(2.83195 - 0.758819i) q^{96} -17.6729i q^{97} +(2.94709 - 1.70150i) q^{98} +(0.269649 - 0.467046i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{2} + 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} + 12 q^{7} - 8 q^{8} - 12 q^{9}+O(q^{10}) \) 8 * q + 4 * q^2 + 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 + 12 * q^7 - 8 * q^8 - 12 * q^9	\( 8 q + 4 q^{2} + 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} + 12 q^{7} - 8 q^{8} - 12 q^{9} - 4 q^{10} - 8 q^{12} - 4 q^{13} + 12 q^{14} - 4 q^{16} + 12 q^{17} - 12 q^{18} + 4 q^{19} - 8 q^{20} + 12 q^{21} - 12 q^{22} - 8 q^{23} - 4 q^{24} - 8 q^{26} - 8 q^{27} - 24 q^{29} - 12 q^{30} - 8 q^{31} + 4 q^{32} - 12 q^{33} + 12 q^{34} + 8 q^{38} + 16 q^{39} - 4 q^{40} + 12 q^{41} + 12 q^{42} + 16 q^{43} - 12 q^{44} - 12 q^{45} - 4 q^{46} - 8 q^{47} + 4 q^{48} + 36 q^{49} + 20 q^{51} - 4 q^{52} + 16 q^{53} - 4 q^{54} + 16 q^{55} - 12 q^{56} + 4 q^{57} - 24 q^{58} - 8 q^{59} - 12 q^{60} + 20 q^{62} - 4 q^{63} + 8 q^{64} + 16 q^{65} - 16 q^{67} + 16 q^{69} - 12 q^{70} - 4 q^{71} + 12 q^{72} + 16 q^{73} - 20 q^{75} + 4 q^{76} + 4 q^{77} + 8 q^{78} - 32 q^{79} + 4 q^{80} + 8 q^{81} + 16 q^{85} + 8 q^{86} - 36 q^{87} + 8 q^{89} + 24 q^{90} - 24 q^{91} + 4 q^{92} + 20 q^{93} - 16 q^{94} + 16 q^{95} + 8 q^{96} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 8 * q + 4 * q^2 + 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 + 12 * q^7 - 8 * q^8 - 12 * q^9 - 4 * q^10 - 8 * q^12 - 4 * q^13 + 12 * q^14 - 4 * q^16 + 12 * q^17 - 12 * q^18 + 4 * q^19 - 8 * q^20 + 12 * q^21 - 12 * q^22 - 8 * q^23 - 4 * q^24 - 8 * q^26 - 8 * q^27 - 24 * q^29 - 12 * q^30 - 8 * q^31 + 4 * q^32 - 12 * q^33 + 12 * q^34 + 8 * q^38 + 16 * q^39 - 4 * q^40 + 12 * q^41 + 12 * q^42 + 16 * q^43 - 12 * q^44 - 12 * q^45 - 4 * q^46 - 8 * q^47 + 4 * q^48 + 36 * q^49 + 20 * q^51 - 4 * q^52 + 16 * q^53 - 4 * q^54 + 16 * q^55 - 12 * q^56 + 4 * q^57 - 24 * q^58 - 8 * q^59 - 12 * q^60 + 20 * q^62 - 4 * q^63 + 8 * q^64 + 16 * q^65 - 16 * q^67 + 16 * q^69 - 12 * q^70 - 4 * q^71 + 12 * q^72 + 16 * q^73 - 20 * q^75 + 4 * q^76 + 4 * q^77 + 8 * q^78 - 32 * q^79 + 4 * q^80 + 8 * q^81 + 16 * q^85 + 8 * q^86 - 36 * q^87 + 8 * q^89 + 24 * q^90 - 24 * q^91 + 4 * q^92 + 20 * q^93 - 16 * q^94 + 16 * q^95 + 8 * q^96 + 36 * q^98 + 4 * q^99

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