LMFDB - Embedded newform 370.2.r.c.177.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(23,370)]

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([9, 5]))

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

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

chi := DirichletCharacter("370.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.r (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:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			177.2
Root			$-0.965926 - 0.258819i$ of defining polynomial
Character	$\chi$	$=$	370.177
Dual form			370.2.r.c.23.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} +(2.83195 - 0.758819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.224745 + 2.22474i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(1.83195 - 0.490870i) q^{7} +1.00000i q^{8} +(4.84607 - 2.79788i) q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} +(2.83195 - 0.758819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.224745 + 2.22474i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(1.83195 - 0.490870i) q^{7} +1.00000i q^{8} +(4.84607 - 2.79788i) q^{9} +(-1.30701 - 1.81431i) q^{10} -0.0963763i q^{11} +(0.758819 - 2.83195i) q^{12} +(-2.75529 - 1.59077i) q^{13} +(-1.34108 + 1.34108i) q^{14} +(2.32465 + 6.12983i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.15892 + 3.73936i) q^{17} +(-2.79788 + 4.84607i) q^{18} +(-4.71209 + 1.26260i) q^{19} +(2.03906 + 0.917738i) q^{20} +(4.81552 - 2.78024i) q^{21} +(0.0481882 + 0.0834643i) q^{22} -1.96713i q^{23} +(0.758819 + 2.83195i) q^{24} +(-4.89898 + 1.00000i) q^{25} +3.18154 q^{26} +(5.38134 - 5.38134i) q^{27} +(0.490870 - 1.83195i) q^{28} +(3.50731 - 3.50731i) q^{29} +(-5.07812 - 4.14626i) q^{30} +(-3.04989 - 3.04989i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-0.0731322 - 0.272933i) q^{33} +(-3.73936 - 2.15892i) q^{34} +(1.50378 + 3.96530i) q^{35} -5.59575i q^{36} +(2.05197 - 5.72620i) q^{37} +(3.44949 - 3.44949i) q^{38} +(-9.00997 - 2.41421i) q^{39} +(-2.22474 + 0.224745i) q^{40} +(7.68482 + 4.43684i) q^{41} +(-2.78024 + 4.81552i) q^{42} +7.57749i q^{43} +(-0.0834643 - 0.0481882i) q^{44} +(7.31369 + 10.1525i) 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} +(3.74264 - 3.31552i) q^{50} +(8.95145 + 8.95145i) q^{51} +(-2.75529 + 1.59077i) q^{52} +(1.44949 + 0.388390i) q^{53} +(-1.96971 + 7.35105i) q^{54} +(0.214413 - 0.0216601i) q^{55} +(0.490870 + 1.83195i) q^{56} +(-12.3863 + 7.15125i) q^{57} +(-1.28376 + 4.79107i) q^{58} +(-2.98174 + 11.1280i) q^{59} +(6.47091 + 1.05171i) q^{60} +(9.90775 - 2.65477i) q^{61} +(4.16622 + 1.11634i) q^{62} +(7.50436 - 7.50436i) q^{63} -1.00000 q^{64} +(2.91982 - 6.48735i) q^{65} +(0.199801 + 0.199801i) q^{66} +(-1.84581 - 6.88865i) q^{67} +4.31784 q^{68} +(-1.49269 - 5.57081i) q^{69} +(-3.28497 - 2.68216i) q^{70} +(-0.958620 + 1.66038i) q^{71} +(2.79788 + 4.84607i) 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} +(-0.0473082 - 0.176557i) q^{77} +(9.00997 - 2.41421i) q^{78} +(2.89329 - 0.775255i) q^{79} +(1.81431 - 1.30701i) q^{80} +(2.76260 - 4.78497i) q^{81} -8.87367 q^{82} +(-12.4045 - 3.32377i) q^{83} -5.56048i q^{84} +(-7.83391 + 5.64344i) q^{85} +(-3.78875 - 6.56230i) q^{86} +(7.27111 - 12.5939i) q^{87} +0.0963763 q^{88} +(-4.69445 - 1.25787i) q^{89} +(-11.4101 - 5.13543i) q^{90} +(-5.82843 - 1.56172i) q^{91} +(-1.70358 - 0.983564i) q^{92} +(-10.9514 - 6.32282i) q^{93} +(13.0631 + 3.50026i) q^{94} +(-3.86798 - 10.1994i) q^{95} +(2.83195 + 0.758819i) q^{96} -17.6729 q^{97} +(1.70150 - 2.94709i) q^{98} +(-0.269649 - 0.467046i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 8 q^{3} + 4 q^{4} - 8 q^{5} - 4 q^{6} + 12 q^{9}+O(q^{10}) $ 8 * q + 8 * q^3 + 4 * q^4 - 8 * q^5 - 4 * q^6 + 12 * q^9	$ 8 q + 8 q^{3} + 4 q^{4} - 8 q^{5} - 4 q^{6} + 12 q^{9} - 4 q^{10} + 4 q^{12} - 12 q^{13} - 12 q^{14} + 8 q^{15} - 4 q^{16} + 16 q^{17} - 4 q^{19} - 4 q^{20} + 12 q^{21} - 4 q^{22} + 4 q^{24} - 8 q^{26} + 8 q^{27} - 12 q^{28} + 24 q^{29} - 8 q^{31} + 12 q^{33} - 12 q^{34} + 8 q^{38} - 16 q^{39} - 8 q^{40} + 12 q^{41} - 4 q^{42} + 12 q^{44} + 12 q^{45} - 4 q^{46} - 8 q^{47} - 4 q^{48} - 36 q^{49} - 4 q^{50} + 20 q^{51} - 12 q^{52} - 8 q^{53} + 4 q^{54} - 8 q^{55} - 12 q^{56} - 36 q^{57} + 8 q^{59} + 16 q^{60} + 28 q^{62} - 4 q^{63} - 8 q^{64} + 20 q^{65} - 8 q^{67} + 32 q^{68} - 16 q^{69} - 4 q^{71} - 16 q^{73} - 20 q^{75} + 4 q^{76} + 20 q^{77} + 16 q^{78} + 32 q^{79} + 4 q^{80} + 8 q^{81} + 16 q^{82} - 36 q^{83} - 16 q^{85} + 8 q^{86} + 24 q^{87} - 8 q^{88} - 8 q^{89} - 36 q^{90} - 24 q^{91} - 36 q^{93} + 16 q^{94} + 8 q^{95} + 8 q^{96} - 48 q^{97} - 4 q^{99}+O(q^{100}) $ 8 * q + 8 * q^3 + 4 * q^4 - 8 * q^5 - 4 * q^6 + 12 * q^9 - 4 * q^10 + 4 * q^12 - 12 * q^13 - 12 * q^14 + 8 * q^15 - 4 * q^16 + 16 * q^17 - 4 * q^19 - 4 * q^20 + 12 * q^21 - 4 * q^22 + 4 * q^24 - 8 * q^26 + 8 * q^27 - 12 * q^28 + 24 * q^29 - 8 * q^31 + 12 * q^33 - 12 * q^34 + 8 * q^38 - 16 * q^39 - 8 * q^40 + 12 * q^41 - 4 * q^42 + 12 * q^44 + 12 * q^45 - 4 * q^46 - 8 * q^47 - 4 * q^48 - 36 * q^49 - 4 * q^50 + 20 * q^51 - 12 * q^52 - 8 * q^53 + 4 * q^54 - 8 * q^55 - 12 * q^56 - 36 * q^57 + 8 * q^59 + 16 * q^60 + 28 * q^62 - 4 * q^63 - 8 * q^64 + 20 * q^65 - 8 * q^67 + 32 * q^68 - 16 * q^69 - 4 * q^71 - 16 * q^73 - 20 * q^75 + 4 * q^76 + 20 * q^77 + 16 * q^78 + 32 * q^79 + 4 * q^80 + 8 * q^81 + 16 * q^82 - 36 * q^83 - 16 * q^85 + 8 * q^86 + 24 * q^87 - 8 * q^88 - 8 * q^89 - 36 * q^90 - 24 * q^91 - 36 * q^93 + 16 * q^94 + 8 * q^95 + 8 * q^96 - 48 * q^97 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	2.83195	−	0.758819i	1.63503	−	0.438104i	0.679661	−	0.733526i	$-0.262127\pi$
$3$	2.83195	−	0.758819i	1.63503	−	0.438104i	0.955367	+	0.295422i	$0.0954603\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	0.224745	+	2.22474i	0.100509	+	0.994936i
$5$	0.224745	+	2.22474i	0.100509	+	0.994936i
$6$	−2.07313	+	2.07313i	−0.846353	+	0.846353i
$7$	1.83195	−	0.490870i	0.692412	−	0.185531i	0.104583	−	0.994516i	$-0.466649\pi$
$7$	1.83195	−	0.490870i	0.692412	−	0.185531i	0.587830	+	0.808985i	$0.299983\pi$
$8$			1.00000i			0.353553i
$9$	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	$-0.995375\pi$
$11$		−	0.0963763i		−	0.0290586i	0.999894	−	0.0145293i	$-0.00462498\pi$
$12$	0.758819	−	2.83195i	0.219052	−	0.817514i
$13$	−2.75529	−	1.59077i	−0.764181	−	0.441200i	0.0666137	−	0.997779i	$-0.478780\pi$
$13$	−2.75529	−	1.59077i	−0.764181	−	0.441200i	−0.830795	+	0.556579i	$0.812114\pi$
$14$	−1.34108	+	1.34108i	−0.358419	+	0.358419i
$15$	2.32465	+	6.12983i	0.600221	+	1.58271i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	2.15892	+	3.73936i	0.523615	+	0.906927i	0.999622	+	0.0274860i	$0.00875017\pi$
$17$	2.15892	+	3.73936i	0.523615	+	0.906927i	−0.476008	+	0.879441i	$0.657916\pi$
$18$	−2.79788	+	4.84607i	−0.659466	+	1.14223i
$19$	−4.71209	+	1.26260i	−1.08103	+	0.289661i	−0.755017	−	0.655705i	$-0.772371\pi$
$19$	−4.71209	+	1.26260i	−1.08103	+	0.289661i	−0.326011	+	0.945366i	$0.605705\pi$
$20$	2.03906	+	0.917738i	0.455947	+	0.205212i
$21$	4.81552	−	2.78024i	1.05083	−	0.606698i
$22$	0.0481882	+	0.0834643i	0.0102737	+	0.0177947i
$23$		−	1.96713i		−	0.410175i	−0.978744	−	0.205087i	$-0.934252\pi$
$23$		−	1.96713i		−	0.410175i	0.978744	−	0.205087i	$-0.0657478\pi$
$24$	0.758819	+	2.83195i	0.154893	+	0.578070i
$25$	−4.89898	+	1.00000i	−0.979796	+	0.200000i
$26$	3.18154			0.623951
$27$	5.38134	−	5.38134i	1.03564	−	1.03564i
$28$	0.490870	−	1.83195i	0.0927657	−	0.346206i
$29$	3.50731	−	3.50731i	0.651290	−	0.651290i	−0.302013	−	0.953304i	$-0.597659\pi$
$29$	3.50731	−	3.50731i	0.651290	−	0.651290i	0.953304	+	0.302013i	$0.0976587\pi$
$30$	−5.07812	−	4.14626i	−0.927133	−	0.757001i
$31$	−3.04989	−	3.04989i	−0.547776	−	0.547776i	0.378021	−	0.925797i	$-0.376605\pi$
$31$	−3.04989	−	3.04989i	−0.547776	−	0.547776i	−0.925797	+	0.378021i	$0.876605\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	−0.0731322	−	0.272933i	−0.0127307	−	0.0475115i
$34$	−3.73936	−	2.15892i	−0.641294	−	0.370251i
$35$	1.50378	+	3.96530i	0.254186	+	0.670259i
$36$		−	5.59575i		−	0.932626i
$37$	2.05197	−	5.72620i	0.337342	−	0.941382i
$37$	2.05197	−	5.72620i	0.337342	−	0.941382i
$38$	3.44949	−	3.44949i	0.559581	−	0.559581i
$39$	−9.00997	−	2.41421i	−1.44275	−	0.386584i
$40$	−2.22474	+	0.224745i	−0.351763	+	0.0355353i
$41$	7.68482	+	4.43684i	1.20017	+	0.692917i	0.960593	−	0.277960i	$-0.0896584\pi$
$41$	7.68482	+	4.43684i	1.20017	+	0.692917i	0.239575	+	0.970878i	$0.422992\pi$
$42$	−2.78024	+	4.81552i	−0.429000	+	0.743050i
$43$			7.57749i			1.15556i	0.816194	+	0.577778i	$0.196080\pi$
$43$			7.57749i			1.15556i	−0.816194	+	0.577778i	$0.803920\pi$
$44$	−0.0834643	−	0.0481882i	−0.0125827	−	0.00726464i
$45$	7.31369	+	10.1525i	1.09026	+	1.51344i
$46$	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
$50$	3.74264	−	3.31552i	0.529289	−	0.468885i
$51$	8.95145	+	8.95145i	1.25345	+	1.25345i
$52$	−2.75529	+	1.59077i	−0.382091	+	0.220600i
$53$	1.44949	+	0.388390i	0.199103	+	0.0533494i	0.356992	−	0.934107i	$-0.383802\pi$
$53$	1.44949	+	0.388390i	0.199103	+	0.0533494i	−0.157889	+	0.987457i	$0.550469\pi$
$54$	−1.96971	+	7.35105i	−0.268043	+	1.00035i
$55$	0.214413	−	0.0216601i	0.0289114	−	0.00292064i
$56$	0.490870	+	1.83195i	0.0655952	+	0.244805i
$57$	−12.3863	+	7.15125i	−1.64061	+	0.947206i
$58$	−1.28376	+	4.79107i	−0.168566	+	0.629098i
$59$	−2.98174	+	11.1280i	−0.388189	+	1.44874i	0.444888	+	0.895586i	$0.353244\pi$
$59$	−2.98174	+	11.1280i	−0.388189	+	1.44874i	−0.833077	+	0.553156i	$0.813423\pi$
$60$	6.47091	+	1.05171i	0.835391	+	0.135775i
$61$	9.90775	−	2.65477i	1.26856	−	0.339909i	0.439079	−	0.898448i	$-0.355305\pi$
$61$	9.90775	−	2.65477i	1.26856	−	0.339909i	0.829478	+	0.558540i	$0.188638\pi$
$62$	4.16622	+	1.11634i	0.529111	+	0.141775i
$63$	7.50436	−	7.50436i	0.945461	−	0.945461i
$64$	−1.00000			−0.125000
$65$	2.91982	−	6.48735i	0.362159	−	0.804656i
$66$	0.199801	+	0.199801i	0.0245938	+	0.0245938i
$67$	−1.84581	−	6.88865i	−0.225501	−	0.841582i	−0.982203	−	0.187822i	$-0.939857\pi$
$67$	−1.84581	−	6.88865i	−0.225501	−	0.841582i	0.756702	−	0.653760i	$-0.226809\pi$
$68$	4.31784			0.523615
$69$	−1.49269	−	5.57081i	−0.179699	−	0.670647i
$70$	−3.28497	−	2.68216i	−0.392628	−	0.320580i
$71$	−0.958620	+	1.66038i	−0.113767	+	0.197051i	−0.917286	−	0.398228i	$-0.869625\pi$
$71$	−0.958620	+	1.66038i	−0.113767	+	0.197051i	0.803519	+	0.595279i	$0.202958\pi$
$72$	2.79788	+	4.84607i	0.329733	+	0.571114i
$73$	−4.62863	−	4.62863i	−0.541740	−	0.541740i	0.382299	−	0.924039i	$-0.375132\pi$
$73$	−4.62863	−	4.62863i	−0.541740	−	0.541740i	−0.924039	+	0.382299i	$0.875132\pi$
$74$	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
$77$	−0.0473082	−	0.176557i	−0.00539127	−	0.0201205i
$78$	9.00997	−	2.41421i	1.02018	−	0.273356i
$79$	2.89329	−	0.775255i	0.325521	−	0.0872230i	−0.0923579	−	0.995726i	$-0.529440\pi$
$79$	2.89329	−	0.775255i	0.325521	−	0.0872230i	0.417879	+	0.908503i	$0.362774\pi$
$80$	1.81431	−	1.30701i	0.202846	−	0.146128i
$81$	2.76260	−	4.78497i	0.306956	−	0.531663i
$82$	−8.87367			−0.979933
$83$	−12.4045	−	3.32377i	−1.36157	−	0.364831i	−0.497175	−	0.867650i	$-0.665629\pi$
$83$	−12.4045	−	3.32377i	−1.36157	−	0.364831i	−0.864391	+	0.502820i	$0.832296\pi$
$84$		−	5.56048i		−	0.606698i
$85$	−7.83391	+	5.64344i	−0.849707	+	0.612117i
$86$	−3.78875	−	6.56230i	−0.408551	−	0.707631i
$87$	7.27111	−	12.5939i	0.779545	−	1.35021i
$88$	0.0963763			0.0102737
$89$	−4.69445	−	1.25787i	−0.497611	−	0.133334i	0.00128006	−	0.999999i	$-0.499593\pi$
$89$	−4.69445	−	1.25787i	−0.497611	−	0.133334i	−0.498891	+	0.866665i	$0.666259\pi$
$90$	−11.4101	−	5.13543i	−1.20273	−	0.541322i
$91$	−5.82843	−	1.56172i	−0.610985	−	0.163713i
$92$	−1.70358	−	0.983564i	−0.177611	−	0.102544i
$93$	−10.9514	−	6.32282i	−1.13561	−	0.655646i
$94$	13.0631	+	3.50026i	1.34736	+	0.361024i
$95$	−3.86798	−	10.1994i	−0.396847	−	1.04644i
$96$	2.83195	+	0.758819i	0.289035	+	0.0774466i
$97$	−17.6729			−1.79441			−0.897204	−	0.441616i	$-0.854405\pi$
$97$	−17.6729			−1.79441			−0.897204	+	0.441616i	$0.854405\pi$
$98$	1.70150	−	2.94709i	0.171878	−	0.297701i
$99$	−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	$0.116260\pi$
$101$			7.17914i			0.714351i	−0.934037	+	0.357175i	$0.883740\pi$
$102$	−12.2279	−	3.27646i	−1.21074	−	0.324418i
$103$	−8.90190			−0.877130			−0.438565	−	0.898699i	$-0.644513\pi$
$103$	−8.90190			−0.877130			−0.438565	+	0.898699i	$0.644513\pi$
$104$	1.59077	−	2.75529i	0.155988	−	0.270179i
$105$	7.26758	+	10.0884i	0.709244	+	0.984532i
$106$	−1.44949	+	0.388390i	−0.140787	+	0.0377237i
$107$	11.9068	−	3.19041i	1.15107	−	0.308429i	0.367677	−	0.929953i	$-0.380153\pi$
$107$	11.9068	−	3.19041i	1.15107	−	0.308429i	0.783395	+	0.621525i	$0.213486\pi$
$108$	−1.96971	−	7.35105i	−0.189535	−	0.707355i
$109$	−1.44659	+	5.39874i	−0.138558	+	0.517105i	0.861400	+	0.507927i	$0.169588\pi$
$109$	−1.44659	+	5.39874i	−0.138558	+	0.517105i	−0.999958	+	0.00917807i	$0.997078\pi$
$110$	−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
$113$	−7.89621	−	13.6766i	−0.742813	−	1.28659i	−0.951210	−	0.308546i	$-0.900158\pi$
$113$	−7.89621	−	13.6766i	−0.742813	−	1.28659i	0.208397	−	0.978044i	$-0.433176\pi$
$114$	7.15125	−	12.3863i	0.669776	−	1.16009i
$115$	4.37636	−	0.442102i	0.408097	−	0.0412262i
$116$	−1.28376	−	4.79107i	−0.119194	−	0.444840i
$117$	−17.8031			−1.64590
$118$	−2.98174	−	11.1280i	−0.274491	−	1.02442i
$119$	5.79057	+	5.79057i	0.530821	+	0.530821i
$120$	−6.12983	+	2.32465i	−0.559574	+	0.212210i
$121$	10.9907			0.999156
$122$	−7.25297	+	7.25297i	−0.656653	+	0.656653i
$123$	25.1298	+	6.73351i	2.26588	+	0.607140i
$124$	−4.16622	+	1.11634i	−0.374138	+	0.100250i
$125$	−3.32577	−	10.6742i	−0.297465	−	0.954733i
$126$	−2.74679	+	10.2511i	−0.244703	+	0.913245i
$127$	2.39644	−	8.94364i	0.212650	−	0.793620i	−0.774331	−	0.632781i	$-0.781913\pi$
$127$	2.39644	−	8.94364i	0.212650	−	0.793620i	0.986981	−	0.160839i	$-0.0514200\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	5.74995	+	21.4591i	0.506255	+	1.88937i
$130$	0.715035	+	7.07812i	0.0627127	+	0.620792i
$131$	−2.10124	+	7.84192i	−0.183586	+	0.685152i	0.811343	+	0.584570i	$0.198737\pi$
$131$	−2.10124	+	7.84192i	−0.183586	+	0.685152i	−0.994929	+	0.100581i	$0.967930\pi$
$132$	−0.272933	−	0.0731322i	−0.0237558	−	0.00636534i
$133$	−8.01255	+	4.62605i	−0.694776	+	0.401129i
$134$	5.04284	+	5.04284i	0.435635	+	0.435635i
$135$	13.1815	+	10.7627i	1.13449	+	0.926304i
$136$	−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	$-0.215929\pi$
$139$	−1.81734	−	3.14772i	−0.154145	−	0.266986i	−0.932747	+	0.360531i	$0.882596\pi$
$140$	4.18594	+	0.680339i	0.353777	+	0.0574991i
$141$	−34.3381	−	19.8251i	−2.89179	−	1.66958i
$142$		−	1.91724i		−	0.160891i
$143$	−0.153313	+	0.265545i	−0.0128206	+	0.0222060i
$144$	−4.84607	−	2.79788i	−0.403839	−	0.233156i
$145$	8.59111	+	7.01461i	0.713453	+	0.582532i
$146$	6.32282	+	1.69419i	0.523280	+	0.140213i
$147$	−7.05487	+	7.05487i	−0.581876	+	0.581876i
$148$	−3.93305	−	4.64016i	−0.323295	−	0.381419i
$149$			13.9060i			1.13923i	0.821913	+	0.569613i	$0.192907\pi$
$149$			13.9060i			1.13923i	−0.821913	+	0.569613i	$0.807093\pi$
$150$	8.08310	−	12.2294i	0.659982	−	0.998523i
$151$	3.54504	+	2.04673i	0.288491	+	0.166560i	0.637261	−	0.770648i	$-0.280067\pi$
$151$	3.54504	+	2.04673i	0.288491	+	0.166560i	−0.348770	+	0.937208i	$0.613401\pi$
$152$	−1.26260	−	4.71209i	−0.102410	−	0.382201i
$153$	20.9245	+	12.0808i	1.69165	+	0.976673i
$154$	0.129248	+	0.129248i	0.0104151	+	0.0104151i
$155$	6.09978	−	7.47067i	0.489946	−	0.600059i
$156$	−6.59575	+	6.59575i	−0.528083	+	0.528083i
$157$	4.70831	−	17.5716i	0.375764	−	1.40237i	−0.476461	−	0.879195i	$-0.658081\pi$
$157$	4.70831	−	17.5716i	0.375764	−	1.40237i	0.852225	−	0.523175i	$-0.175253\pi$
$158$	−2.11804	+	2.11804i	−0.168502	+	0.168502i
$159$	4.39960			0.348911
$160$	−0.917738	+	2.03906i	−0.0725535	+	0.161202i
$161$	−0.965604	−	3.60368i	−0.0761002	−	0.284010i
$162$			5.52520i			0.434101i
$163$	3.15149	+	5.45854i	0.246844	+	0.427546i	0.962648	−	0.270755i	$-0.0872733\pi$
$163$	3.15149	+	5.45854i	0.246844	+	0.427546i	−0.715805	+	0.698301i	$0.753940\pi$
$164$	7.68482	−	4.43684i	0.600084	−	0.346459i
$165$	0.590770	−	0.224041i	0.0459914	−	0.0174415i
$166$	12.4045	−	3.32377i	0.962773	−	0.257974i
$167$	−2.11099	+	3.65634i	−0.163353	+	0.282936i	−0.936069	−	0.351816i	$-0.885564\pi$
$167$	−2.11099	+	3.65634i	−0.163353	+	0.282936i	0.772716	+	0.634752i	$0.218898\pi$
$168$	2.78024	+	4.81552i	0.214500	+	0.371525i
$169$	−1.43890	−	2.49225i	−0.110685	−	0.191711i
$170$	3.96264	−	8.80432i	0.303921	−	0.675261i
$171$	−19.3025	+	19.3025i	−1.47610	+	1.47610i
$172$	6.56230	+	3.78875i	0.500371	+	0.288889i
$173$	−0.812098	+	3.03079i	−0.0617427	+	0.230427i	−0.989901	−	0.141758i	$-0.954725\pi$
$173$	−0.812098	+	3.03079i	−0.0617427	+	0.230427i	0.928159	+	0.372185i	$0.121391\pi$
$174$			14.5422i			1.10244i
$175$	−8.48382	+	4.23671i	−0.641317	+	0.320265i
$176$	−0.0834643	+	0.0481882i	−0.00629136	+	0.00363232i
$177$			33.7766i			2.53880i
$178$	4.69445	−	1.25787i	0.351864	−	0.0942817i
$179$	9.42053	−	9.42053i	0.704124	−	0.704124i	−0.261169	−	0.965293i	$-0.584108\pi$
$179$	9.42053	−	9.42053i	0.704124	−	0.704124i	0.965293	+	0.261169i	$0.0841081\pi$
$180$	12.4491	−	1.25762i	0.927903	−	0.0937372i
$181$	−7.22853	+	12.5202i	−0.537292	+	0.930617i	0.461756	+	0.887007i	$0.347219\pi$
$181$	−7.22853	+	12.5202i	−0.537292	+	0.930617i	−0.999049	+	0.0436106i	$0.986114\pi$
$182$	5.82843	−	1.56172i	0.432032	−	0.115763i
$183$	26.0438	−	15.0364i	1.92521	−	1.11152i
$184$	1.96713			0.145019
$185$	13.2005	+	3.27817i	0.970521	+	0.241016i
$186$	12.6456			0.927223
$187$	0.360385	−	0.208069i	0.0263540	−	0.0152155i
$188$	−13.0631	+	3.50026i	−0.952727	+	0.255283i
$189$	7.21682	−	12.4999i	0.524946	−	0.909233i
$190$	8.44949	+	6.89898i	0.612990	+	0.500505i
$191$	8.61143	−	8.61143i	0.623102	−	0.623102i	−0.323222	−	0.946323i	$-0.604766\pi$
$191$	8.61143	−	8.61143i	0.623102	−	0.623102i	0.946323	+	0.323222i	$0.104766\pi$
$192$	−2.83195	+	0.758819i	−0.204378	+	0.0547630i
$193$			22.3791i			1.61088i	0.592675	+	0.805441i	$0.298072\pi$
$193$			22.3791i			1.61088i	−0.592675	+	0.805441i	$0.701928\pi$
$194$	15.3052	−	8.83644i	1.09885	−	0.634419i
$195$	3.34607	−	20.5875i	0.239617	−	1.47430i
$196$			3.40300i			0.243072i
$197$	−4.76595	+	17.7868i	−0.339560	+	1.26725i	0.559281	+	0.828978i	$0.311077\pi$
$197$	−4.76595	+	17.7868i	−0.339560	+	1.26725i	−0.898840	+	0.438276i	$0.855589\pi$
$198$	0.467046	+	0.269649i	0.0331915	+	0.0191631i
$199$	5.85267	−	5.85267i	0.414885	−	0.414885i	−0.468552	−	0.883436i	$-0.655224\pi$
$199$	5.85267	−	5.85267i	0.414885	−	0.414885i	0.883436	+	0.468552i	$0.155224\pi$
$200$	−1.00000	−	4.89898i	−0.0707107	−	0.346410i
$201$	−10.4545	−	18.1077i	−0.737402	−	1.27722i
$202$	−3.58957	−	6.21731i	−0.252561	−	0.437449i
$203$	4.70358	−	8.14684i	0.330127	−	0.571796i
$204$	12.2279	−	3.27646i	0.856125	−	0.229398i
$205$	−8.14370	+	18.0939i	−0.568781	+	1.26373i
$206$	7.70927	−	4.45095i	0.537130	−	0.310112i
$207$	−5.50378	−	9.53283i	−0.382539	−	0.662577i
$208$			3.18154i			0.220600i
$209$	0.121685	+	0.454134i	0.00841712	+	0.0314131i
$210$	−11.3381	−	5.10306i	−0.782406	−	0.352145i
$211$	−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
$213$	−1.45484	+	5.42953i	−0.0996839	+	0.372025i
$214$	−8.71637	+	8.71637i	−0.595839	+	0.595839i
$215$	−16.8580	+	1.70300i	−1.14971	+	0.116144i
$216$	5.38134	+	5.38134i	0.366154	+	0.366154i
$217$	−7.08434	−	4.09015i	−0.480917	−	0.277657i
$218$	−1.44659	−	5.39874i	−0.0979753	−	0.365649i
$219$	−16.6203	−	9.59575i	−1.12310	−	0.648421i
$220$	0.0884482	−	0.196517i	0.00596317	−	0.0132492i
$221$		−	13.7374i		−	0.924076i
$222$	7.61717	+	16.1252i	0.511231	+	1.08225i
$223$	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
$225$	−20.9429	+	18.5528i	−1.39619	+	1.23685i
$226$	13.6766	+	7.89621i	0.909756	+	0.525248i
$227$	12.1848	−	21.1047i	0.808735	−	1.40077i	−0.105005	−	0.994472i	$-0.533486\pi$
$227$	12.1848	−	21.1047i	0.808735	−	1.40077i	0.913740	−	0.406299i	$-0.133181\pi$
$228$			14.3025i			0.947206i
$229$	17.7854	+	10.2684i	1.17529	+	0.678556i	0.954921	−	0.296859i	$-0.0959392\pi$
$229$	17.7854	+	10.2684i	1.17529	+	0.678556i	0.220373	+	0.975416i	$0.429273\pi$
$230$	−3.56899	+	2.57105i	−0.235332	+	0.169530i
$231$	−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	$0.168406\pi$
$233$	20.8817	+	20.8817i	1.36801	+	1.36801i	0.504725	+	0.863280i	$0.331594\pi$
$234$	15.4180	−	8.90156i	1.00790	−	0.581913i
$235$	19.1258	−	23.4242i	1.24763	−	1.52803i
$236$	8.14626	+	8.14626i	0.530277	+	0.530277i
$237$	7.60538	−	4.39097i	0.494023	−	0.285224i
$238$	−7.91007	−	2.11950i	−0.512734	−	0.137387i
$239$	1.62459	−	6.06304i	0.105086	−	0.392185i	−0.893269	−	0.449522i	$-0.851594\pi$
$239$	1.62459	−	6.06304i	0.105086	−	0.392185i	0.998355	+	0.0573368i	$0.0182609\pi$
$240$	4.14626	−	5.07812i	0.267640	−	0.327791i
$241$	−4.30632	−	16.0714i	−0.277394	−	1.03525i	−0.954220	−	0.299107i	$-0.903311\pi$
$241$	−4.30632	−	16.0714i	−0.277394	−	1.03525i	0.676825	−	0.736144i	$-0.263355\pi$
$242$	−9.51824	+	5.49536i	−0.611855	+	0.353255i
$243$	−1.71649	+	6.40605i	−0.110113	+	0.410948i
$244$	2.65477	−	9.90775i	0.169954	−	0.634278i
$245$	−4.44775	−	6.17411i	−0.284156	−	0.394449i
$246$	−25.1298	+	6.73351i	−1.60222	+	0.429313i
$247$	14.9917	+	4.01702i	0.953899	+	0.255597i
$248$	3.04989	−	3.04989i	0.193668	−	0.193668i
$249$	−37.6510			−2.38603
$250$	8.21731	+	7.58128i	0.519709	+	0.479482i
$251$	12.5472	+	12.5472i	0.791972	+	0.791972i	0.981815	−	0.189842i	$-0.0607977\pi$
$251$	12.5472	+	12.5472i	0.791972	+	0.791972i	−0.189842	+	0.981815i	$0.560798\pi$
$252$	−2.74679	−	10.2511i	−0.173031	−	0.645762i
$253$	−0.189585			−0.0119191
$254$	2.39644	+	8.94364i	0.150366	+	0.561174i
$255$	−17.9029	+	21.9265i	−1.12112	+	1.37309i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−7.25335	−	12.5632i	−0.452451	−	0.783669i	0.546086	−	0.837729i	$-0.316117\pi$
$257$	−7.25335	−	12.5632i	−0.452451	−	0.783669i	−0.998538	+	0.0540602i	$0.982784\pi$
$258$	−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
$262$	−2.10124	−	7.84192i	−0.129815	−	0.484475i
$263$	−13.6153	+	3.64822i	−0.839558	+	0.224959i	−0.652879	−	0.757462i	$-0.726439\pi$
$263$	−13.6153	+	3.64822i	−0.839558	+	0.224959i	−0.186679	+	0.982421i	$0.559772\pi$
$264$	0.272933	−	0.0731322i	0.0167979	−	0.00450097i
$265$	−0.538302	+	3.31203i	−0.0330677	+	0.203457i
$266$	4.62605	−	8.01255i	0.283641	−	0.491281i
$267$	−14.2490			−0.872022
$268$	−6.88865	−	1.84581i	−0.420791	−	0.112751i
$269$			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	0.810948	−	0.585119i	$-0.198952\pi$
$271$	−1.66685	−	2.88706i	−0.101254	−	0.175377i	−0.912201	+	0.409742i	$0.865619\pi$
$272$	2.15892	−	3.73936i	0.130904	−	0.226732i
$273$	−17.6909			−1.07070
$274$	−20.1210	−	5.39142i	−1.21556	−	0.325707i
$275$	0.0963763	+	0.472146i	0.00581171	+	0.0284715i
$276$	−5.57081	−	1.49269i	−0.335323	−	0.0898496i
$277$	5.79410	+	3.34523i	0.348134	+	0.200995i	0.663863	−	0.747854i	$-0.268916\pi$
$277$	5.79410	+	3.34523i	0.348134	+	0.200995i	−0.315729	+	0.948849i	$0.602249\pi$
$278$	3.14772	+	1.81734i	0.188788	+	0.108997i
$279$	−23.3132	−	6.24674i	−1.39572	−	0.373983i
$280$	−3.96530	+	1.50378i	−0.236972	+	0.0898682i
$281$	17.2969	+	4.63469i	1.03185	+	0.276482i	0.734730	−	0.678359i	$-0.237309\pi$
$281$	17.2969	+	4.63469i	1.03185	+	0.276482i	0.297116	+	0.954842i	$0.403975\pi$
$282$	39.6502			2.36114
$283$	3.94206	−	6.82785i	0.234331	−	0.405873i	−0.724747	−	0.689015i	$-0.758043\pi$
$283$	3.94206	−	6.82785i	0.234331	−	0.405873i	0.959078	+	0.283142i	$0.0913767\pi$
$284$	0.958620	+	1.66038i	0.0568836	+	0.0985253i
$285$	−18.6935	−	25.9492i	−1.10731	−	1.53710i
$286$		−	0.306625i		−	0.0181311i
$287$	16.2561	+	4.35582i	0.959569	+	0.257116i
$288$	5.59575			0.329733
$289$	−0.821859	+	1.42350i	−0.0483447	+	0.0837354i
$290$	−10.9474	−	1.77928i	−0.642855	−	0.104483i
$291$	−50.0487	+	13.4105i	−2.93391	+	0.786138i
$292$	−6.32282	+	1.69419i	−0.370015	+	0.0991453i
$293$	−4.39886	−	16.4168i	−0.256984	−	0.959077i	−0.966976	−	0.254867i	$-0.917968\pi$
$293$	−4.39886	−	16.4168i	−0.256984	−	0.959077i	0.709992	−	0.704210i	$-0.248698\pi$
$294$	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
$298$	−6.95301	−	12.0430i	−0.402777	−	0.697631i
$299$	−3.12925	+	5.42002i	−0.180969	+	0.313448i
$300$	−0.885488	+	14.6325i	−0.0511237	+	0.844807i
$301$	3.71956	+	13.8816i	0.214392	+	0.800122i
$302$	−4.09346			−0.235552
$303$	5.44767	+	20.3310i	0.312960	+	1.16798i
$304$	3.44949	+	3.44949i	0.197842	+	0.197842i
$305$	8.13291	+	21.4456i	0.465689	+	1.22797i
$306$	−24.1616			−1.38122
$307$	13.8251	−	13.8251i	0.789041	−	0.789041i	−0.192296	−	0.981337i	$-0.561593\pi$
$307$	13.8251	−	13.8251i	0.789041	−	0.789041i	0.981337	+	0.192296i	$0.0615933\pi$
$308$	−0.176557	−	0.0473082i	−0.0100603	−	0.00269564i
$309$	−25.2097	+	6.75493i	−1.43413	+	0.384275i
$310$	−1.54723	+	9.51968i	−0.0878765	+	0.540681i
$311$	−1.99132	+	7.43169i	−0.112917	+	0.421413i	−0.999123	−	0.0418797i	$-0.986665\pi$
$311$	−1.99132	+	7.43169i	−0.112917	+	0.421413i	0.886205	+	0.463292i	$0.153332\pi$
$312$	2.41421	−	9.00997i	0.136678	−	0.510089i
$313$	20.4246	−	11.7922i	1.15447	−	0.666533i	0.204496	−	0.978867i	$-0.434444\pi$
$313$	20.4246	−	11.7922i	1.15447	−	0.666533i	0.949972	+	0.312335i	$0.101111\pi$
$314$	4.70831	+	17.5716i	0.265705	+	0.991625i
$315$	18.3819	+	15.0087i	1.03570	+	0.845646i
$316$	0.775255	−	2.89329i	0.0436115	−	0.162760i
$317$	15.0893	+	4.04316i	0.847499	+	0.227087i	0.656333	−	0.754471i	$-0.272107\pi$
$317$	15.0893	+	4.04316i	0.847499	+	0.227087i	0.191166	+	0.981558i	$0.438773\pi$
$318$	−3.81017	+	2.19980i	−0.213664	+	0.123359i
$319$	−0.338021	−	0.338021i	−0.0189256	−	0.0189256i
$320$	−0.224745	−	2.22474i	−0.0125636	−	0.124367i
$321$	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
$325$	15.0889	+	5.03786i	0.836982	+	0.279450i
$326$	−5.45854	−	3.15149i	−0.302320	−	0.174545i
$327$			16.3867i			0.906185i
$328$	−4.43684	+	7.68482i	−0.244983	+	0.424323i
$329$	−22.2129	−	12.8246i	−1.22463	−	0.707043i
$330$	−0.399602	+	0.489410i	−0.0219973	+	0.0269411i
$331$	22.6157	+	6.05986i	1.24307	+	0.333080i	0.819656	−	0.572856i	$-0.194165\pi$
$331$	22.6157	+	6.05986i	1.24307	+	0.333080i	0.423415	+	0.905936i	$0.360831\pi$
$332$	−9.08070	+	9.08070i	−0.498368	+	0.498368i
$333$	−6.07724	−	33.4907i	−0.333030	−	1.83528i
$334$		−	4.22198i		−	0.231016i
$335$	14.9106	−	5.65464i	0.814656	−	0.308946i
$336$	−4.81552	−	2.78024i	−0.262708	−	0.151674i
$337$	−1.79289	−	6.69117i	−0.0976651	−	0.364491i	0.899745	−	0.436416i	$-0.143752\pi$
$337$	−1.79289	−	6.69117i	−0.0976651	−	0.364491i	−0.997410	+	0.0719250i	$0.977086\pi$
$338$	2.49225	+	1.43890i	0.135560	+	0.0782658i
$339$	−32.7398	−	32.7398i	−1.77818	−	1.77818i
$340$	0.970412	+	9.60609i	0.0526280	+	0.520963i
$341$	−0.293937	+	0.293937i	−0.0159176	+	0.0159176i
$342$	7.06520	−	26.3677i	0.382042	−	1.42580i
$343$	−13.9513	+	13.9513i	−0.753298	+	0.753298i
$344$	−7.57749			−0.408551
$345$	12.0582	−	4.57287i	0.649189	−	0.246195i
$346$	−0.812098	−	3.03079i	−0.0436586	−	0.162936i
$347$			15.8483i			0.850783i	0.905009	+	0.425391i	$0.139864\pi$
$347$			15.8483i			0.850783i	−0.905009	+	0.425391i	$0.860136\pi$
$348$	−7.27111	−	12.5939i	−0.389772	−	0.675106i
$349$	19.6627	−	11.3523i	1.05252	−	0.607672i	0.129165	−	0.991623i	$-0.458770\pi$
$349$	19.6627	−	11.3523i	1.05252	−	0.607672i	0.923353	+	0.383951i	$0.125437\pi$
$350$	5.22885	−	7.91101i	0.279494	−	0.422861i
$351$	−23.3877	+	6.26670i	−1.24834	+	0.334492i
$352$	0.0481882	−	0.0834643i	0.00256844	−	0.00444866i
$353$	7.21039	+	12.4888i	0.383770	+	0.664710i	0.991598	−	0.129359i	$-0.0412921\pi$
$353$	7.21039	+	12.4888i	0.383770	+	0.664710i	−0.607827	+	0.794069i	$0.707959\pi$
$354$	−16.8883	−	29.2514i	−0.897602	−	1.55469i
$355$	−3.90936	−	1.75952i	−0.207487	−	0.0933858i
$356$	−3.43658	+	3.43658i	−0.182138	+	0.182138i
$357$	20.7926	+	12.0046i	1.10046	+	0.635352i
$358$	−3.44815	+	12.8687i	−0.182241	+	0.680131i
$359$			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
$362$		−	14.4571i		−	0.759846i
$363$	31.1252	−	8.33996i	1.63365	−	0.437734i
$364$	−4.26670	+	4.26670i	−0.223636	+	0.223636i
$365$	9.25725	−	11.3378i	0.484547	−	0.593446i
$366$	−15.0364	+	26.0438i	−0.785964	+	1.36133i
$367$	31.4890	−	8.43746i	1.64371	−	0.440432i	0.685870	−	0.727724i	$-0.259422\pi$
$367$	31.4890	−	8.43746i	1.64371	−	0.440432i	0.957843	+	0.287292i	$0.0927550\pi$
$368$	−1.70358	+	0.983564i	−0.0888054	+	0.0512718i
$369$	49.6549			2.58493
$370$	−13.0711	+	3.76127i	−0.679532	+	0.195539i
$371$	2.84604			0.147759
$372$	−10.9514	+	6.32282i	−0.567806	+	0.327823i
$373$	−20.5188	+	5.49800i	−1.06242	+	0.284676i	−0.747377	−	0.664400i	$-0.768687\pi$
$373$	−20.5188	+	5.49800i	−1.06242	+	0.284676i	−0.315047	+	0.949076i	$0.602020\pi$
$374$	−0.208069	+	0.360385i	−0.0107590	+	0.0186351i
$375$	−17.5182	−	27.7053i	−0.904637	−	1.43069i
$376$	9.56288	−	9.56288i	0.493168	−	0.493168i
$377$	−15.2430	+	4.08434i	−0.785053	+	0.210354i
$378$			14.4336i			0.742386i
$379$	3.13757	−	1.81148i	0.161166	−	0.0930493i	−0.417248	−	0.908793i	$-0.637005\pi$
$379$	3.13757	−	1.81148i	0.161166	−	0.0930493i	0.578414	+	0.815744i	$0.303672\pi$
$380$	−10.7670	−	1.74995i	−0.552334	−	0.0897704i
$381$		−	27.1464i		−	1.39075i
$382$	−3.15200	+	11.7634i	−0.161271	+	0.601870i
$383$	29.6524	+	17.1198i	1.51517	+	0.874783i	0.999842	+	0.0177887i	$0.00566263\pi$
$383$	29.6524	+	17.1198i	1.51517	+	0.874783i	0.515326	+	0.856994i	$0.327671\pi$
$384$	2.07313	−	2.07313i	0.105794	−	0.105794i
$385$	0.382161	−	0.144929i	0.0194767	−	0.00738626i
$386$	−11.1896	−	19.3809i	−0.569533	−	0.986460i
$387$	21.2009	+	36.7210i	1.07770	+	1.86663i
$388$	−8.83644	+	15.3052i	−0.448602	+	0.777002i
$389$	6.94098	−	1.85983i	0.351922	−	0.0942971i	−0.0785275	−	0.996912i	$-0.525022\pi$
$389$	6.94098	−	1.85983i	0.351922	−	0.0942971i	0.430449	+	0.902615i	$0.358355\pi$
$390$	7.39595	+	19.5023i	0.374509	+	0.987537i
$391$	7.35579	−	4.24687i	0.371998	−	0.214773i
$392$	−1.70150	−	2.94709i	−0.0859388	−	0.148850i
$393$			23.8024i			1.20067i
$394$	−4.76595	−	17.7868i	−0.240105	−	0.896084i
$395$	2.37500	+	6.26260i	0.119499	+	0.315106i
$396$	−0.539298			−0.0271008
$397$	−11.2418	+	11.2418i	−0.564208	+	0.564208i	−0.930500	−	0.366292i	$-0.880627\pi$
$397$	−11.2418	+	11.2418i	−0.564208	+	0.564208i	0.366292	+	0.930500i	$0.380627\pi$
$398$	−2.14222	+	7.99489i	−0.107380	+	0.400748i
$399$	−19.1808	+	19.1808i	−0.960242	+	0.960242i
$400$	3.31552	+	3.74264i	0.165776	+	0.187132i
$401$	−5.06226	−	5.06226i	−0.252797	−	0.252797i	0.569319	−	0.822116i	$-0.307207\pi$
$401$	−5.06226	−	5.06226i	−0.252797	−	0.252797i	−0.822116	+	0.569319i	$0.807207\pi$
$402$	18.1077	+	10.4545i	0.903129	+	0.521422i
$403$	3.55167	+	13.2550i	0.176921	+	0.660279i
$404$	6.21731	+	3.58957i	0.309323	+	0.178588i
$405$	11.2662	+	5.07069i	0.559822	+	0.251964i
$406$			9.40717i			0.466870i
$407$	−0.551871	−	0.197761i	−0.0273552	−	0.00980266i
$408$	−8.95145	+	8.95145i	−0.443163	+	0.443163i
$409$	−19.0336	−	5.10003i	−0.941150	−	0.252180i	−0.244547	−	0.969637i	$-0.578639\pi$
$409$	−19.0336	−	5.10003i	−0.941150	−	0.252180i	−0.696603	+	0.717457i	$0.745306\pi$
$410$	−1.99431	−	19.7417i	−0.0984921	−	0.974971i
$411$	52.8907	+	30.5365i	2.60891	+	1.50625i
$412$	−4.45095	+	7.70927i	−0.219283	+	0.379809i
$413$			21.8496i			1.07515i
$414$	9.53283	+	5.50378i	0.468513	+	0.270496i
$415$	4.60669	−	28.3438i	0.226134	−	1.39134i
$416$	−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	$-0.923617\pi$
$419$	−25.6113	+	14.7867i	−1.25119	+	0.722377i	−0.279847	+	0.960045i	$0.590284\pi$
$420$	12.3706	−	1.24969i	0.603626	−	0.0609786i
$421$	15.5966	+	15.5966i	0.760133	+	0.760133i	0.976346	−	0.216213i	$-0.0693705\pi$
$421$	15.5966	+	15.5966i	0.760133	+	0.760133i	−0.216213	+	0.976346i	$0.569371\pi$
$422$	0.0326320	−	0.0188401i	0.00158850	−	0.000917122i
$423$	−73.0981	−	19.5866i	−3.55415	−	0.952332i
$424$	−0.388390	+	1.44949i	−0.0188619	+	0.0703934i
$425$	−14.3159	−	16.1601i	−0.694421	−	0.783881i
$426$	−1.45484	−	5.42953i	−0.0704871	−	0.263062i
$427$	16.8474	−	9.72683i	0.815301	−	0.470714i
$428$	3.19041	−	11.9068i	0.154214	−	0.575536i
$429$	−0.232673	+	0.868348i	−0.0112336	+	0.0419242i
$430$	13.7479	−	9.90384i	0.662985	−	0.477606i
$431$	−12.0203	+	3.22083i	−0.578997	+	0.155142i	−0.536420	−	0.843951i	$-0.680224\pi$
$431$	−12.0203	+	3.22083i	−0.578997	+	0.155142i	−0.0425776	+	0.999093i	$0.513557\pi$
$432$	−7.35105	−	1.96971i	−0.353678	−	0.0947676i
$433$	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
$435$	29.6524	+	13.3459i	1.42172	+	0.639889i
$436$	3.95215	+	3.95215i	0.189274	+	0.189274i
$437$	2.48370	+	9.26928i	0.118811	+	0.443410i
$438$	19.1915			0.917006
$439$	−4.63361	−	17.2929i	−0.221150	−	0.825344i	−0.983910	−	0.178662i	$-0.942823\pi$
$439$	−4.63361	−	17.2929i	−0.221150	−	0.825344i	0.762760	−	0.646681i	$-0.223844\pi$
$440$	0.0216601	+	0.214413i	0.00103260	+	0.0102217i
$441$	−9.52118	+	16.4912i	−0.453390	+	0.785294i
$442$	6.86869	+	11.8969i	0.326710	+	0.565879i
$443$	12.5352	+	12.5352i	0.595564	+	0.595564i	0.939129	−	0.343565i	$-0.111635\pi$
$443$	12.5352	+	12.5352i	0.595564	+	0.595564i	−0.343565	+	0.939129i	$0.611635\pi$
$444$	−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
$447$	10.5522	+	39.3812i	0.499100	+	1.86267i
$448$	−1.83195	+	0.490870i	−0.0865516	+	0.0231914i
$449$	−20.7823	+	5.56859i	−0.980776	+	0.262798i	−0.713372	−	0.700786i	$-0.752833\pi$
$449$	−20.7823	+	5.56859i	−0.980776	+	0.262798i	−0.267405	+	0.963584i	$0.586166\pi$
$450$	8.86068	−	26.5387i	0.417696	−	1.25104i
$451$	0.427606	−	0.740635i	0.0201352	−	0.0348751i
$452$	−15.7924			−0.742813
$453$	11.5925	+	3.10619i	0.544662	+	0.145942i
$454$			24.3696i			1.14372i
$455$	2.16452	−	13.3178i	0.101474	−	0.624346i
$456$	−7.15125	−	12.3863i	−0.334888	−	0.580043i
$457$	12.5997	−	21.8233i	0.589387	−	1.02085i	−0.404926	−	0.914350i	$-0.632703\pi$
$457$	12.5997	−	21.8233i	0.589387	−	1.02085i	0.994313	−	0.106499i	$-0.0339641\pi$
$458$	−20.5368			−0.959624
$459$	31.7406	+	8.50488i	1.48153	+	0.396974i
$460$	1.80531	−	4.01109i	0.0841729	−	0.187018i
$461$	−16.2115	−	4.34385i	−0.755043	−	0.202313i	−0.139289	−	0.990252i	$-0.544482\pi$
$461$	−16.2115	−	4.34385i	−0.755043	−	0.202313i	−0.615754	+	0.787938i	$0.711148\pi$
$462$	0.464102	+	0.267949i	0.0215920	+	0.0124661i
$463$	−25.2995	−	14.6067i	−1.17577	−	0.678829i	−0.220735	−	0.975334i	$-0.570846\pi$
$463$	−25.2995	−	14.6067i	−1.17577	−	0.678829i	−0.955031	+	0.296504i	$0.904179\pi$
$464$	−4.79107	−	1.28376i	−0.222420	−	0.0595972i
$465$	11.6054	−	25.7852i	0.538187	−	1.19576i
$466$	−28.5249	−	7.64323i	−1.32139	−	0.354066i
$467$	−28.4561			−1.31679			−0.658395	−	0.752673i	$-0.728764\pi$
$467$	−28.4561			−1.31679			−0.658395	+	0.752673i	$0.728764\pi$
$468$	−8.90156	+	15.4180i	−0.411475	+	0.712695i
$469$	−6.76286	−	11.7136i	−0.312280	−	0.540884i
$470$	−4.85131	+	29.8488i	−0.223774	+	1.37682i
$471$		−	53.3348i		−	2.45754i
$472$	−11.1280	−	2.98174i	−0.512208	−	0.137246i
$473$	0.730291			0.0335788
$474$	−4.39097	+	7.60538i	−0.201684	+	0.349327i
$475$	21.8218	−	10.8975i	1.00125	−	0.500014i
$476$	7.91007	−	2.11950i	0.362557	−	0.0971469i
$477$	8.11099	−	2.17333i	0.371377	−	0.0995101i
$478$	1.62459	+	6.06304i	0.0743069	+	0.277317i
$479$	6.57805	−	24.5496i	0.300559	−	1.12170i	−0.636143	−	0.771571i	$-0.719471\pi$
$479$	6.57805	−	24.5496i	0.300559	−	1.12170i	0.936702	−	0.350129i	$-0.113862\pi$
$480$	−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
$483$	−5.46909	−	9.47273i	−0.248852	−	0.431024i
$484$	5.49536	−	9.51824i	0.249789	−	0.432647i
$485$	−3.97189	−	39.3176i	−0.180354	−	1.78532i
$486$	−1.71649	−	6.40605i	−0.0778618	−	0.290584i
$487$	−35.2151			−1.59575			−0.797874	−	0.602824i	$-0.794042\pi$
$487$	−35.2151			−1.59575			−0.797874	+	0.602824i	$0.794042\pi$
$488$	2.65477	+	9.90775i	0.120176	+	0.448503i
$489$	13.0669	+	13.0669i	0.590906	+	0.590906i
$490$	6.93892	+	3.12306i	0.313468	+	0.141086i
$491$	−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
$493$	20.6871	+	5.54308i	0.931698	+	0.249648i
$494$	−14.9917	+	4.01702i	−0.674509	+	0.180734i
$495$	0.978456	−	0.704867i	0.0439783	−	0.0316814i
$496$	−1.11634	+	4.16622i	−0.0501250	+	0.187069i
$497$	−0.941115	+	3.51229i	−0.0422148	+	0.157548i
$498$	32.6067	−	18.8255i	1.46114	−	0.843590i
$499$	1.05851	+	3.95040i	0.0473853	+	0.176844i	0.985563	−	0.169310i	$-0.0541540\pi$
$499$	1.05851	+	3.95040i	0.0473853	+	0.176844i	−0.938178	+	0.346155i	$0.887487\pi$
$500$	−10.9070	−	2.45692i	−0.487778	−	0.109877i
$501$	−3.20372	+	11.9564i	−0.143131	+	0.534174i
$502$	−17.1398	−	4.59259i	−0.764987	−	0.204978i
$503$	−6.28113	+	3.62641i	−0.280062	+	0.161694i	−0.633451	−	0.773783i	$-0.718362\pi$
$503$	−6.28113	+	3.62641i	−0.280062	+	0.161694i	0.353390	+	0.935476i	$0.385029\pi$
$504$	7.50436	+	7.50436i	0.334271	+	0.334271i
$505$	−15.9717	+	1.61347i	−0.710733	+	0.0717987i
$506$	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	$-0.131013\pi$
$509$	2.52176	+	4.36782i	0.111775	+	0.193600i	−0.804711	+	0.593667i	$0.797680\pi$
$510$	4.54112	−	27.9403i	0.201084	−	1.23722i
$511$	−10.7515	−	6.20736i	−0.475617	−	0.274598i
$512$		−	1.00000i		−	0.0441942i
$513$	−18.5629	+	32.1519i	−0.819571	+	1.41954i
$514$	12.5632	+	7.25335i	0.554137	+	0.319931i
$515$	−2.00066	−	19.8045i	−0.0881594	−	0.872689i
$516$	21.4591	+	5.74995i	0.944684	+	0.253127i
$517$	−0.921635	+	0.921635i	−0.0405335	+	0.0405335i
$518$	4.92745	+	10.4312i	0.216500	+	0.458319i
$519$			9.19929i			0.403804i
$520$	6.48735	+	2.91982i	0.284489	+	0.128043i
$521$	−21.3133	−	12.3053i	−0.933755	−	0.539103i	−0.0457575	−	0.998953i	$-0.514570\pi$
$521$	−21.3133	−	12.3053i	−0.933755	−	0.539103i	−0.887997	+	0.459849i	$0.847903\pi$
$522$	7.18362	+	26.8096i	0.314419	+	1.17343i
$523$	−4.82373	−	2.78498i	−0.210927	−	0.121779i	0.390815	−	0.920469i	$-0.372193\pi$
$523$	−4.82373	−	2.78498i	−0.210927	−	0.121779i	−0.601742	+	0.798690i	$0.705527\pi$
$524$	5.74068	+	5.74068i	0.250783	+	0.250783i
$525$	−20.8109	+	18.4358i	−0.908261	+	0.804606i
$526$	9.96713	−	9.96713i	0.434587	−	0.434587i
$527$	4.82016	−	17.9891i	0.209969	−	0.783617i
$528$	−0.199801	+	0.199801i	−0.00869522	+	0.00869522i
$529$	19.1304			0.831757
$530$	−1.18983	−	3.13746i	−0.0516831	−	0.136282i
$531$	16.6851	+	62.2696i	0.724071	+	2.70227i
$532$			9.25209i			0.401129i
$533$	−14.1160	−	24.4496i	−0.611431	−	1.05903i
$534$	12.3400	−	7.12448i	0.534002	−	0.308306i
$535$	9.77384	+	25.7725i	0.422560	+	1.11424i
$536$	6.88865	−	1.84581i	0.297544	−	0.0797267i
$537$	19.5300	−	33.8270i	0.842782	−	1.45974i
$538$	−10.1633	−	17.6033i	−0.438170	−	0.758933i
$539$	0.163984	+	0.284029i	0.00706331	+	0.0122340i
$540$	15.9115	−	6.03421i	0.684723	−	0.259671i
$541$	−10.6470	+	10.6470i	−0.457752	+	0.457752i	−0.897917	−	0.440165i	$-0.854920\pi$
$541$	−10.6470	+	10.6470i	−0.457752	+	0.457752i	0.440165	+	0.897917i	$0.354920\pi$
$542$	2.88706	+	1.66685i	0.124010	+	0.0715972i
$543$	−10.9703	+	40.9417i	−0.470780	+	1.75698i
$544$			4.31784i			0.185126i
$545$	−12.3359	−	2.00495i	−0.528413	−	0.0858826i
$546$	15.3208	−	8.84544i	0.655668	−	0.378550i
$547$		−	2.18405i		−	0.0933831i	−0.998909	−	0.0466916i	$-0.985132\pi$
$547$		−	2.18405i		−	0.0933831i	0.998909	−	0.0466916i	$-0.0148678\pi$
$548$	20.1210	−	5.39142i	0.859528	−	0.230310i
$549$	40.5859	−	40.5859i	1.73216	−	1.73216i
$550$	−0.319537	−	0.360702i	−0.0136251	−	0.0153804i
$551$	−12.0984	+	20.9551i	−0.515410	+	0.892716i
$552$	5.57081	−	1.49269i	0.237109	−	0.0635333i
$553$	4.91982	−	2.84046i	0.209212	−	0.120789i
$554$	−6.69046			−0.284250
$555$	39.8708	−	0.733171i	1.69242	−	0.0311214i
$556$	−3.63468			−0.154145
$557$	−16.0426	+	9.26222i	−0.679748	+	0.392453i	−0.799760	−	0.600320i	$-0.795040\pi$
$557$	−16.0426	+	9.26222i	−0.679748	+	0.392453i	0.120012	+	0.992772i	$0.461707\pi$
$558$	23.3132	−	6.24674i	0.986925	−	0.264446i
$559$	12.0541	−	20.8782i	0.509832	−	0.883055i
$560$	2.68216	−	3.28497i	0.113342	−	0.138815i
$561$	0.862708	−	0.862708i	0.0364235	−	0.0364235i
$562$	−17.2969	+	4.63469i	−0.729625	+	0.195503i
$563$			10.7787i			0.454267i	0.973864	+	0.227133i	$0.0729353\pi$
$563$			10.7787i			0.454267i	−0.973864	+	0.227133i	$0.927065\pi$
$564$	−34.3381	+	19.8251i	−1.44590	+	0.834788i
$565$	28.6524	−	20.6408i	1.20542	−	0.868365i
$566$			7.88412i			0.331394i
$567$	2.71215	−	10.1219i	0.113900	−	0.425080i
$568$	−1.66038	−	0.958620i	−0.0696679	−	0.0402228i
$569$	16.4710	−	16.4710i	0.690499	−	0.690499i	−0.271843	−	0.962342i	$-0.587633\pi$
$569$	16.4710	−	16.4710i	0.690499	−	0.690499i	0.962342	+	0.271843i	$0.0876331\pi$
$570$	29.1636	+	13.1259i	1.22153	+	0.549785i
$571$	15.2470	+	26.4086i	0.638066	+	1.10516i	0.985857	+	0.167591i	$0.0535988\pi$
$571$	15.2470	+	26.4086i	0.638066	+	1.10516i	−0.347790	+	0.937572i	$0.613068\pi$
$572$	0.153313	+	0.265545i	0.00641032	+	0.0111030i
$573$	17.8526	−	30.9217i	0.745805	−	1.29177i
$574$	−16.2561	+	4.35582i	−0.678518	+	0.181808i
$575$	1.96713	+	9.63692i	0.0820349	+	0.401887i
$576$	−4.84607	+	2.79788i	−0.201919	+	0.116578i
$577$	3.72913	+	6.45904i	0.155246	+	0.268894i	0.933148	−	0.359491i	$-0.117050\pi$
$577$	3.72913	+	6.45904i	0.155246	+	0.268894i	−0.777903	+	0.628385i	$0.783716\pi$
$578$		−	1.64372i		−	0.0683697i
$579$	16.9817	+	63.3765i	0.705735	+	2.63384i
$580$	10.3704	−	3.93281i	0.430607	−	0.163301i
$581$	−24.3559			−1.01045
$582$	36.6382	−	36.6382i	1.51870	−	1.51870i
$583$	0.0374316	−	0.139696i	0.00155026	−	0.00578564i
$584$	4.62863	−	4.62863i	0.191534	−	0.191534i
$585$	−4.00116	−	39.6074i	−0.165428	−	1.63756i
$586$	12.0179	+	12.0179i	0.496455	+	0.496455i
$587$	2.38371	+	1.37623i	0.0983861	+	0.0568032i	0.548386	−	0.836226i	$-0.315243\pi$
$587$	2.38371	+	1.37623i	0.0983861	+	0.0568032i	−0.450000	+	0.893029i	$0.648576\pi$
$588$	2.58226	+	9.63713i	0.106491	+	0.397429i
$589$	18.2221	+	10.5206i	0.750830	+	0.433492i
$590$	24.0868	−	9.13457i	0.991639	−	0.376064i
$591$			53.9877i			2.22076i
$592$	−5.98502	+	1.08604i	−0.245983	+	0.0446361i
$593$	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
$595$	−11.5811	+	14.1839i	−0.474781	+	0.581485i
$596$	12.0430	+	6.95301i	0.493299	+	0.284807i
$597$	12.1334	−	21.0156i	0.496585	−	0.860111i
$598$		−	6.25850i		−	0.255929i
$599$	12.0793	+	6.97399i	0.493547	+	0.284949i	0.726045	−	0.687648i	$-0.241357\pi$
$599$	12.0793	+	6.97399i	0.493547	+	0.284949i	−0.232498	+	0.972597i	$0.574690\pi$
$600$	−6.54939	−	13.1149i	−0.267378	−	0.535412i
$601$	18.1283	+	31.3991i	0.739467	+	1.28079i	0.952735	+	0.303801i	$0.0982558\pi$
$601$	18.1283	+	31.3991i	0.739467	+	1.28079i	−0.213268	+	0.976994i	$0.568411\pi$
$602$	−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
$605$	2.47011	+	24.4515i	0.100424	+	0.994096i
$606$	−14.8833	−	14.8833i	−0.604593	−	0.604593i
$607$	7.56045	−	4.36503i	0.306869	−	0.177171i	−0.338655	−	0.940910i	$-0.609972\pi$
$607$	7.56045	−	4.36503i	0.306869	−	0.177171i	0.645525	+	0.763739i	$0.276639\pi$
$608$	−4.71209	−	1.26260i	−0.191101	−	0.0512052i
$609$	7.13834	−	26.6406i	0.289260	−	1.07953i
$610$	−17.7661	−	14.5059i	−0.719328	−	0.587329i
$611$	11.1362	+	41.5609i	0.450523	+	1.68137i
$612$	20.9245	−	12.0808i	0.845824	−	0.488336i
$613$	−1.63964	+	6.11924i	−0.0662246	+	0.247154i	−0.991101	−	0.133115i	$-0.957502\pi$
$613$	−1.63964	+	6.11924i	−0.0662246	+	0.247154i	0.924876	+	0.380269i	$0.124169\pi$
$614$	−5.06034	+	18.8855i	−0.204219	+	0.762155i
$615$	−9.33255	+	57.4207i	−0.376325	+	2.31543i
$616$	0.176557	−	0.0473082i	0.00711367	−	0.00190610i
$617$	−33.3667	−	8.94057i	−1.34329	−	0.359934i	−0.485637	−	0.874160i	$-0.661412\pi$
$617$	−33.3667	−	8.94057i	−1.34329	−	0.359934i	−0.857655	+	0.514226i	$0.828079\pi$
$618$	18.4548	−	18.4548i	0.742361	−	0.742361i
$619$	2.07274			0.0833106			0.0416553	−	0.999132i	$-0.486737\pi$
$619$	2.07274			0.0833106			0.0416553	+	0.999132i	$0.486737\pi$
$620$	−3.41990	−	9.01790i	−0.137347	−	0.362167i
$621$	−10.5858	−	10.5858i	−0.424793	−	0.424793i
$622$	−1.99132	−	7.43169i	−0.0798445	−	0.297984i
$623$	−9.21746			−0.369290
$624$	2.41421	+	9.00997i	0.0966459	+	0.360687i
$625$	23.0000	−	9.79796i	0.920000	−	0.391918i
$626$	−11.7922	+	20.4246i	−0.471310	+	0.816332i
$627$	0.689211	+	1.19375i	0.0275244	+	0.0476737i
$628$	−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	−0.711288	−	0.702901i	$-0.751888\pi$
$631$	6.43456	−	24.0141i	0.256156	−	0.955987i	0.967444	−	0.253086i	$-0.0814456\pi$
$632$	0.775255	+	2.89329i	0.0308380	+	0.115089i
$633$	−0.106708	+	0.0285924i	−0.00424128	+	0.00113645i
$634$	−15.0893	+	4.04316i	−0.599272	+	0.160574i
$635$	20.4359	+	3.32143i	0.810974	+	0.131807i
$636$	2.19980	−	3.81017i	0.0872278	−	0.151083i
$637$	10.8268			0.428973
$638$	0.461746	+	0.123724i	0.0182807	+	0.00489829i
$639$			10.7284i			0.424409i
$640$	1.30701	+	1.81431i	0.0516640	+	0.0717170i
$641$	5.25663	+	9.10475i	0.207624	+	0.359616i	0.950966	−	0.309296i	$-0.100093\pi$
$641$	5.25663	+	9.10475i	0.207624	+	0.359616i	−0.743341	+	0.668912i	$0.766760\pi$
$642$	−18.0702	+	31.2985i	−0.713173	+	1.23525i
$643$	−48.2140			−1.90137			−0.950686	−	0.310154i	$-0.899619\pi$
$643$	−48.2140			−1.90137			−0.950686	+	0.310154i	$0.899619\pi$
$644$	−3.60368	−	0.965604i	−0.142005	−	0.0380501i
$645$	−46.4487	+	17.6150i	−1.82892	+	0.693589i
$646$	20.3460	+	5.45171i	0.800504	+	0.214494i
$647$	−22.0863	−	12.7515i	−0.868301	−	0.501314i	−0.00151802	−	0.999999i	$-0.500483\pi$
$647$	−22.0863	−	12.7515i	−0.868301	−	0.501314i	−0.866783	+	0.498685i	$0.833817\pi$
$648$	4.78497	+	2.76260i	0.187971	+	0.108525i
$649$	1.07248	+	0.287369i	0.0420984	+	0.0112802i
$650$	−15.5863	+	3.18154i	−0.611345	+	0.124790i
$651$	−23.1662	−	6.20736i	−0.907955	−	0.243286i
$652$	6.30298			0.246844
$653$	11.8499	−	20.5247i	0.463724	−	0.803193i	−0.535419	−	0.844586i	$-0.679846\pi$
$653$	11.8499	−	20.5247i	0.463724	−	0.803193i	0.999143	+	0.0413936i	$0.0131798\pi$
$654$	−8.19333	−	14.1913i	−0.320385	−	0.554922i
$655$	−17.9185	−	2.91228i	−0.700134	−	0.113792i
$656$		−	8.87367i		−	0.346459i
$657$	−35.3810	−	9.48030i	−1.38034	−	0.369862i
$658$	25.6492			0.999910
$659$	−0.853736	+	1.47871i	−0.0332568	+	0.0576025i	−0.882175	−	0.470922i	$-0.843921\pi$
$659$	−0.853736	+	1.47871i	−0.0332568	+	0.0576025i	0.848918	+	0.528525i	$0.177255\pi$
$660$	0.101360	−	0.623642i	0.00394544	−	0.0242752i
$661$	14.2931	−	3.82982i	0.555936	−	0.148963i	0.0300975	−	0.999547i	$-0.490418\pi$
$661$	14.2931	−	3.82982i	0.555936	−	0.148963i	0.525839	+	0.850584i	$0.323752\pi$
$662$	−22.6157	+	6.05986i	−0.878984	+	0.235523i
$663$	−10.4242	−	38.9036i	−0.404842	−	1.51089i
$664$	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
$668$	2.11099	+	3.65634i	0.0816766	+	0.141468i
$669$	5.87868	−	10.1822i	0.227283	−	0.393666i
$670$	−10.0857	+	12.3524i	−0.389644	+	0.477214i
$671$	−0.255857	−	0.954872i	−0.00987726	−	0.0368624i
$672$	5.56048			0.214500
$673$	2.92133	+	10.9026i	0.112609	+	0.420263i	0.999097	−	0.0424892i	$-0.0135288\pi$
$673$	2.92133	+	10.9026i	0.112609	+	0.420263i	−0.886488	+	0.462752i	$0.846862\pi$
$674$	4.89828	+	4.89828i	0.188675	+	0.188675i
$675$	−20.9817	+	31.7444i	−0.807588	+	1.22184i
$676$	−2.87780			−0.110685
$677$	−24.5713	+	24.5713i	−0.944353	+	0.944353i	−0.998531	−	0.0541785i	$-0.982746\pi$
$677$	−24.5713	+	24.5713i	−0.944353	+	0.944353i	0.0541785	+	0.998531i	$0.482746\pi$
$678$	44.7234	+	11.9836i	1.71759	+	0.460227i
$679$	−32.3758	+	8.67508i	−1.24247	+	0.332919i
$680$	−5.64344	−	7.83391i	−0.216416	−	0.300417i
$681$	18.4922	−	69.0137i	0.708621	−	2.64461i
$682$	0.107588	−	0.401525i	0.00411977	−	0.0153752i
$683$	23.4238	−	13.5237i	0.896285	−	0.517471i	0.0202923	−	0.999794i	$-0.493540\pi$
$683$	23.4238	−	13.5237i	0.896285	−	0.517471i	0.875993	+	0.482323i	$0.160207\pi$
$684$	7.06520	+	26.3677i	0.270145	+	1.00819i
$685$	−29.4592	+	36.0801i	−1.12558	+	1.37855i
$686$	5.10652	−	19.0578i	0.194968	−	0.727630i
$687$	58.1593	+	15.5837i	2.21892	+	0.594557i
$688$	6.56230	−	3.78875i	0.250185	−	0.144445i
$689$	−3.37593	−	3.37593i	−0.128613	−	0.128613i
$690$	−8.15623	+	9.98930i	−0.310502	+	0.380286i
$691$	20.1538	−	11.6358i	0.766688	−	0.442648i	−0.0650037	−	0.997885i	$-0.520706\pi$
$691$	20.1538	−	11.6358i	0.766688	−	0.442648i	0.831692	+	0.555237i	$0.187373\pi$
$692$	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
$695$	6.59445	−	4.75055i	0.250142	−	0.180199i
$696$	12.5939	+	7.27111i	0.477372	+	0.275611i
$697$			38.3151i			1.45129i
$698$	−11.3523	+	19.6627i	−0.429689	+	0.744243i
$699$	74.9814	+	43.2905i	2.83606	+	1.63740i
$700$	−0.572810	+	9.46556i	−0.0216502	+	0.357765i
$701$	−8.64460	−	2.31631i	−0.326502	−	0.0874859i	0.0918448	−	0.995773i	$-0.470724\pi$
$701$	−8.64460	−	2.31631i	−0.326502	−	0.0874859i	−0.418347	+	0.908287i	$0.637390\pi$
$702$	17.1210	−	17.1210i	0.646189	−	0.646189i
$703$	−2.43916	+	29.5732i	−0.0919946	+	1.11537i
$704$			0.0963763i			0.00363232i
$705$	36.3885	−	80.8491i	1.37047	−	3.04495i
$706$	−12.4888	−	7.21039i	−0.470021	−	0.271367i
$707$	3.52402	+	13.1518i	0.132534	+	0.494625i
$708$	29.2514	+	16.8883i	1.09933	+	0.634701i
$709$	31.3140	+	31.3140i	1.17602	+	1.17602i	0.980749	+	0.195272i	$0.0625589\pi$
$709$	31.3140	+	31.3140i	1.17602	+	1.17602i	0.195272	+	0.980749i	$0.437441\pi$
$710$	4.26537	−	0.430890i	0.160076	−	0.0161710i
$711$	11.8520	−	11.8520i	0.444485	−	0.444485i
$712$	1.25787	−	4.69445i	0.0471408	−	0.175932i
$713$	−5.99952	+	5.99952i	−0.224684	+	0.224684i
$714$	−24.0092			−0.898523
$715$	−0.625226	−	0.281401i	−0.0233821	−	0.0105238i
$716$	−3.44815	−	12.8687i	−0.128864	−	0.480925i
$717$		−	18.4030i		−	0.687273i
$718$	−2.26430	−	3.92188i	−0.0845030	−	0.146363i
$719$	−37.9439	+	21.9069i	−1.41507	+	0.816991i	−0.995860	−	0.0908979i	$-0.971026\pi$
$719$	−37.9439	+	21.9069i	−1.41507	+	0.816991i	−0.419210	+	0.907889i	$0.637693\pi$
$720$	5.13543	−	11.4101i	0.191386	−	0.425228i
$721$	−16.3078	+	4.36967i	−0.607336	+	0.162735i
$722$	−2.39898	+	4.15515i	−0.0892808	+	0.154639i
$723$	−24.3906	−	42.2457i	−0.907095	−	1.57114i
$724$	7.22853	+	12.5202i	0.268646	+	0.465309i
$725$	−13.6749	+	20.6895i	−0.507874	+	0.768390i
$726$	−22.7852	+	22.7852i	−0.845638	+	0.845638i
$727$	−38.1108	−	22.0033i	−1.41345	−	0.816056i	−0.417738	−	0.908567i	$-0.637177\pi$
$727$	−38.1108	−	22.0033i	−1.41345	−	0.816056i	−0.995712	+	0.0925117i	$0.970510\pi$
$728$	1.56172	−	5.82843i	0.0578813	−	0.216016i
$729$			36.0197i			1.33406i
$730$	−2.34813	+	14.4474i	−0.0869082	+	0.534723i
$731$	−28.3350	+	16.3592i	−1.04801	+	0.605067i
$732$		−	30.0727i		−	1.11152i
$733$	−32.7843	+	8.78453i	−1.21092	+	0.324464i	−0.807121	−	0.590385i	$-0.798976\pi$
$733$	−32.7843	+	8.78453i	−1.21092	+	0.324464i	−0.403795	+	0.914850i	$0.632309\pi$
$734$	−23.0516	+	23.0516i	−0.850849	+	0.850849i
$735$	−17.2808	−	14.1097i	−0.637413	−	0.520446i
$736$	0.983564	−	1.70358i	0.0362546	−	0.0627949i
$737$	−0.663902	+	0.177892i	−0.0244552	+	0.00655274i
$738$	−43.0024	+	24.8274i	−1.58294	+	0.913911i
$739$	4.75282			0.174835			0.0874176	−	0.996172i	$-0.472139\pi$
$739$	4.75282			0.174835			0.0874176	+	0.996172i	$0.472139\pi$
$740$	9.43924	−	9.79289i	0.346993	−	0.359994i
$741$	45.5040			1.67163
$742$	−2.46475	+	1.42302i	−0.0904837	+	0.0522408i
$743$	46.5000	−	12.4596i	1.70592	−	0.457100i	0.731502	−	0.681839i	$-0.238820\pi$
$743$	46.5000	−	12.4596i	1.70592	−	0.457100i	0.974419	+	0.224739i	$0.0721531\pi$
$744$	6.32282	−	10.9514i	0.231806	−	0.401500i
$745$	−30.9374	+	3.12531i	−1.13346	+	0.114502i
$746$	15.0208	−	15.0208i	0.549951	−	0.549951i
$747$	−69.4123	+	18.5990i	−2.53966	+	0.680501i
$748$		−	0.416137i		−	0.0152155i
$749$	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	$-0.814111\pi$
$751$		−	30.2191i		−	1.10271i	0.834271	−	0.551355i	$-0.185889\pi$
$752$	−3.50026	+	13.0631i	−0.127641	+	0.476364i
$753$	45.0541	+	26.0120i	1.64186	+	0.947930i
$754$	11.1586	−	11.1586i	0.406374	−	0.406374i
$755$	−3.75672	+	8.34680i	−0.136721	+	0.303771i
$756$	−7.21682	−	12.4999i	−0.262473	−	0.454617i
$757$	−4.79070	−	8.29774i	−0.174121	−	0.301587i	0.765736	−	0.643155i	$-0.222375\pi$
$757$	−4.79070	−	8.29774i	−0.174121	−	0.301587i	−0.939857	+	0.341569i	$0.889042\pi$
$758$	−1.81148	+	3.13757i	−0.0657958	+	0.113962i
$759$	−0.536894	+	0.143860i	−0.0194880	+	0.00522180i
$760$	10.1994	−	3.86798i	0.369972	−	0.140306i
$761$	13.1033	−	7.56520i	0.474995	−	0.274238i	−0.243333	−	0.969943i	$-0.578241\pi$
$761$	13.1033	−	7.56520i	0.474995	−	0.274238i	0.718328	+	0.695704i	$0.244908\pi$
$762$	13.5732	+	23.5095i	0.491706	+	0.851659i
$763$			10.6003i			0.383757i
$764$	−3.15200	−	11.7634i	−0.114035	−	0.425586i
$765$	−22.1740	+	49.2668i	−0.801702	+	1.78125i
$766$	−34.2397			−1.23713
$767$	25.9177	−	25.9177i	0.935833	−	0.935833i
$768$	−0.758819	+	2.83195i	−0.0273815	+	0.102189i
$769$	−5.48039	+	5.48039i	−0.197628	+	0.197628i	−0.798982	−	0.601354i	$-0.794628\pi$
$769$	−5.48039	+	5.48039i	−0.197628	+	0.197628i	0.601354	+	0.798982i	$0.294628\pi$
$770$	−0.258497	+	0.316593i	−0.00931558	+	0.0114092i
$771$	−30.0743	−	30.0743i	−1.08310	−	1.08310i
$772$	19.3809	+	11.1896i	0.697533	+	0.402721i
$773$	−7.25863	−	27.0896i	−0.261075	−	0.974344i	−0.964609	−	0.263683i	$-0.915063\pi$
$773$	−7.25863	−	27.0896i	−0.261075	−	0.974344i	0.703535	−	0.710661i	$-0.251604\pi$
$774$	−36.7210	−	21.2009i	−1.31991	−	0.762050i
$775$	17.9912	+	11.8915i	0.646264	+	0.427154i
$776$		−	17.6729i		−	0.634419i
$777$	−6.03892	−	33.2796i	−0.216645	−	1.19390i
$778$	−5.08115	+	5.08115i	−0.182168	+	0.182168i
$779$	−41.8135	−	11.2039i	−1.49813	−	0.401422i
$780$	−16.1562	−	13.1915i	−0.578486	−	0.472332i
$781$	0.160021	+	0.0923883i	0.00572601	+	0.00330591i
$782$	−4.24687	+	7.35579i	−0.151868	+	0.263043i
$783$		−	37.7480i		−	1.34900i
$784$	2.94709	+	1.70150i	0.105253	+	0.0607679i
$785$	40.1506	+	6.52565i	1.43304	+	0.232910i
$786$	−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
$790$	−5.18811	−	4.23607i	−0.184585	−	0.150713i
$791$	−21.1789	−	21.1789i	−0.753036	−	0.753036i
$792$	0.467046	−	0.269649i	0.0165958	−	0.00958156i
$793$	−31.5219	−	8.44627i	−1.11938	−	0.299936i
$794$	4.11477	−	15.3565i	0.146028	−	0.544983i
$795$	0.988788	+	9.78799i	0.0350687	+	0.347144i
$796$	−2.14222	−	7.99489i	−0.0759291	−	0.283371i
$797$	21.0338	−	12.1439i	0.745055	−	0.430158i	−0.0788495	−	0.996887i	$-0.525125\pi$
$797$	21.0338	−	12.1439i	0.745055	−	0.430158i	0.823904	+	0.566729i	$0.191791\pi$
$798$	7.02066	−	26.2015i	0.248529	−	0.927522i
$799$	15.1135	−	56.4045i	0.534679	−	1.99545i
$800$	−4.74264	−	1.58346i	−0.167678	−	0.0559839i
$801$	−26.2690	+	7.03876i	−0.928170	+	0.248702i
$802$	6.91518	+	1.85292i	0.244183	+	0.0654287i
$803$	−0.446090	+	0.446090i	−0.0157422	+	0.0157422i
$804$	−20.9089			−0.737402
$805$	7.80026	−	2.95813i	0.274923	−	0.104260i
$806$	−9.70334	−	9.70334i	−0.341786	−	0.341786i
$807$	15.4242	+	57.5638i	0.542957	+	2.02634i
$808$	−7.17914			−0.252561
$809$	−8.02029	−	29.9321i	−0.281978	−	1.05236i	−0.951019	−	0.309132i	$-0.899962\pi$
$809$	−8.02029	−	29.9321i	−0.281978	−	1.05236i	0.669041	−	0.743226i	$-0.266705\pi$
$810$	−12.2922	+	1.24176i	−0.431903	+	0.0436310i
$811$	25.6584	−	44.4416i	0.900987	−	1.56055i	0.0747710	−	0.997201i	$-0.476177\pi$
$811$	25.6584	−	44.4416i	0.900987	−	1.56055i	0.826216	−	0.563354i	$-0.190489\pi$
$812$	−4.70358	−	8.14684i	−0.165063	−	0.285898i
$813$	−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
$817$	−9.56735	−	35.7058i	−0.334719	−	1.24919i
$818$	19.0336	−	5.10003i	0.665494	−	0.178319i
$819$	−32.6144	+	8.73901i	−1.13964	+	0.305366i
$820$	11.5980	+	16.0996i	0.405018	+	0.562223i
$821$	−12.6067	+	21.8355i	−0.439977	+	0.762063i	−0.997687	−	0.0679727i	$-0.978347\pi$
$821$	−12.6067	+	21.8355i	−0.439977	+	0.762063i	0.557710	+	0.830036i	$0.311680\pi$
$822$	−61.0729			−2.13016
$823$	−12.0660	−	3.23308i	−0.420595	−	0.112698i	0.0423133	−	0.999104i	$-0.486527\pi$
$823$	−12.0660	−	3.23308i	−0.420595	−	0.112698i	−0.462908	+	0.886406i	$0.653194\pi$
$824$		−	8.90190i		−	0.310112i
$825$	0.631206	+	1.26396i	0.0219758	+	0.0440055i
$826$	−10.9248	−	18.9223i	−0.380123	−	0.658392i
$827$	−24.8205	+	42.9903i	−0.863092	+	1.49492i	0.00583640	+	0.999983i	$0.498142\pi$
$827$	−24.8205	+	42.9903i	−0.863092	+	1.49492i	−0.868929	+	0.494937i	$0.835191\pi$
$828$	−11.0076			−0.382539
$829$	11.4823	+	3.07668i	0.398798	+	0.106858i	0.452643	−	0.891692i	$-0.350481\pi$
$829$	11.4823	+	3.07668i	0.398798	+	0.106858i	−0.0538452	+	0.998549i	$0.517148\pi$
$830$	10.1824	+	26.8498i	0.353435	+	0.931969i
$831$	18.9470	+	5.07684i	0.657266	+	0.176114i
$832$	2.75529	+	1.59077i	0.0955227	+	0.0551500i
$833$	−12.7250	−	7.34680i	−0.440896	−	0.254552i
$834$	10.2932	+	2.75806i	0.356426	+	0.0955039i
$835$	−8.60885	−	3.87467i	−0.297922	−	0.134088i
$836$	0.454134	+	0.121685i	0.0157066	+	0.00420856i
$837$	−32.8250			−1.13460
$838$	14.7867	−	25.6113i	0.510797	−	0.884727i
$839$	−21.9644	−	38.0435i	−0.758295	−	1.31341i	−0.943719	−	0.330747i	$-0.892699\pi$
$839$	−21.9644	−	38.0435i	−0.758295	−	1.31341i	0.185424	−	0.982659i	$-0.440634\pi$
$840$	−10.0884	+	7.26758i	−0.348085	+	0.250755i
$841$			4.39761i			0.151642i
$842$	−21.3054	−	5.70876i	−0.734233	−	0.196737i
$843$	52.5008			1.80822
$844$	−0.0188401	+	0.0326320i	−0.000648503	+	0.00112324i
$845$	5.22123	−	3.76130i	0.179616	−	0.129393i
$846$	73.0981	−	19.5866i	2.51317	−	0.673401i
$847$	20.1344	−	5.39501i	0.691828	−	0.185375i
$848$	−0.388390	−	1.44949i	−0.0133374	−	0.0497757i
$849$	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
$853$	14.4520	+	25.0316i	0.494828	+	0.857067i	0.999982	−	0.00596187i	$-0.00189773\pi$
$853$	14.4520	+	25.0316i	0.494828	+	0.857067i	−0.505154	+	0.863029i	$0.668564\pi$
$854$	−9.72683	+	16.8474i	−0.332845	+	0.576505i
$855$	−47.2813	−	38.6050i	−1.61699	−	1.32026i
$856$	3.19041	+	11.9068i	0.109046	+	0.406965i
$857$	46.5332			1.58954			0.794772	−	0.606908i	$-0.207590\pi$
$857$	46.5332			1.58954			0.794772	+	0.606908i	$0.207590\pi$
$858$	−0.232673	−	0.868348i	−0.00794333	−	0.0296449i
$859$	17.0191	+	17.0191i	0.580685	+	0.580685i	0.935091	−	0.354407i	$-0.115317\pi$
$859$	17.0191	+	17.0191i	0.580685	+	0.580685i	−0.354407	+	0.935091i	$0.615317\pi$
$860$	−6.95415	+	15.4509i	−0.237135	+	0.526873i
$861$	49.3419			1.68157
$862$	8.79947	−	8.79947i	0.299711	−	0.299711i
$863$	−40.3324	−	10.8070i	−1.37293	−	0.367876i	−0.504383	−	0.863480i	$-0.668280\pi$
$863$	−40.3324	−	10.8070i	−1.37293	−	0.367876i	−0.868548	+	0.495605i	$0.834947\pi$
$864$	7.35105	−	1.96971i	0.250088	−	0.0670108i
$865$	−6.92525	−	1.12556i	−0.235466	−	0.0382700i
$866$	−3.51203	+	13.1071i	−0.119344	+	0.445397i
$867$	−1.24728	+	4.65493i	−0.0423600	+	0.158090i
$868$	−7.08434	+	4.09015i	−0.240458	+	0.138829i
$869$	−0.0747162	−	0.278845i	−0.00253457	−	0.00945916i
$870$	−32.3527	+	3.26829i	−1.09686	+	0.110805i
$871$	−5.87251	+	21.9165i	−0.198982	+	0.742613i
$872$	−5.39874	−	1.44659i	−0.182824	−	0.0489876i
$873$	−85.6439	+	49.4465i	−2.89861	+	1.67351i
$874$	−6.78559	−	6.78559i	−0.229526	−	0.229526i
$875$	−11.3323	−	17.9222i	−0.383102	−	0.605880i
$876$	−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
$880$	−0.125965	−	0.174857i	−0.00424626	−	0.00589442i
$881$	7.08357	+	4.08970i	0.238652	+	0.137786i	0.614557	−	0.788873i	$-0.289335\pi$
$881$	7.08357	+	4.08970i	0.238652	+	0.137786i	−0.375905	+	0.926658i	$0.622668\pi$
$882$		−	19.0424i		−	0.641190i
$883$	16.3845	−	28.3787i	0.551382	−	0.955021i	−0.446794	−	0.894637i	$-0.647434\pi$
$883$	16.3845	−	28.3787i	0.551382	−	0.955021i	0.998175	−	0.0603838i	$-0.0192325\pi$
$884$	−11.8969	−	6.86869i	−0.400137	−	0.231019i
$885$	−75.1442	+	7.59111i	−2.52595	+	0.255172i
$886$	−17.1234	−	4.58819i	−0.575271	−	0.154143i
$887$	1.90204	−	1.90204i	0.0638642	−	0.0638642i	−0.674453	−	0.738318i	$-0.735621\pi$
$887$	1.90204	−	1.90204i	0.0638642	−	0.0638642i	0.738318	+	0.674453i	$0.235621\pi$
$888$	17.7734	+	1.46593i	0.596436	+	0.0491932i
$889$		−	17.5607i		−	0.588966i
$890$	3.85350	+	10.1613i	0.129170	+	0.340606i
$891$	−0.461157	−	0.266249i	−0.0154494	−	0.00891969i
$892$	−1.03792	−	3.87357i	−0.0347521	−	0.129697i
$893$	57.1353	+	32.9871i	1.91196	+	1.10387i
$894$	−28.8290	−	28.8290i	−0.964187	−	0.964187i
$895$	23.0755	+	18.8411i	0.771329	+	0.629787i
$896$	1.34108	−	1.34108i	0.0448024	−	0.0448024i
$897$	−4.74907	+	17.7238i	−0.158567	+	0.591779i
$898$	15.2137	−	15.2137i	0.507687	−	0.507687i
$899$	−21.3938			−0.713523
$900$	5.59575	+	27.4135i	0.186525	+	0.913783i
$901$	1.67700	+	6.25866i	0.0558691	+	0.208506i
$902$			0.855212i			0.0284754i
$903$	21.0672	+	36.4895i	0.701074	+	1.21430i
$904$	13.6766	−	7.89621i	0.454878	−	0.262624i
$905$	−29.4788	−	13.2678i	−0.979907	−	0.441036i
$906$	−11.5925	+	3.10619i	−0.385134	+	0.103196i
$907$	14.6122	−	25.3091i	0.485192	−	0.840376i	−0.514664	−	0.857392i	$-0.672083\pi$
$907$	14.6122	−	25.3091i	0.485192	−	0.840376i	0.999855	+	0.0170158i	$0.00541655\pi$
$908$	−12.1848	−	21.1047i	−0.404368	−	0.700385i
$909$	20.0863	+	34.7906i	0.666222	+	1.15393i
$910$	4.78434	+	12.6158i	0.158599	+	0.418209i
$911$	−5.43281	+	5.43281i	−0.179997	+	0.179997i	−0.791355	−	0.611357i	$-0.790624\pi$
$911$	−5.43281	+	5.43281i	−0.179997	+	0.179997i	0.611357	+	0.791355i	$0.290624\pi$
$912$	12.3863	+	7.15125i	0.410152	+	0.236801i
$913$	−0.320332	+	1.19550i	−0.0106015	+	0.0395652i
$914$			25.1993i			0.833519i
$915$	39.3053	+	54.5614i	1.29939	+	1.80374i
$916$	17.7854	−	10.2684i	0.587647	−	0.339278i
$917$			15.3974i			0.508468i
$918$	−31.7406	+	8.50488i	−1.04760	+	0.280703i
$919$	−26.3924	+	26.3924i	−0.870604	+	0.870604i	−0.992538	−	0.121934i	$-0.961090\pi$
$919$	−26.3924	+	26.3924i	−0.870604	+	0.870604i	0.121934	+	0.992538i	$0.461090\pi$
$920$	0.442102	+	4.37636i	0.0145757	+	0.144284i
$921$	28.6613	−	49.6428i	0.944422	−	1.63579i
$922$	16.2115	−	4.34385i	0.533896	−	0.143057i
$923$	5.28256	−	3.04989i	0.173878	−	0.100388i
$924$	−0.535898			−0.0176298
$925$	−4.32635	+	30.1045i	−0.142250	+	0.989831i
$926$	29.2133			0.960010
$927$	−43.1392	+	24.9064i	−1.41688	+	0.818034i
$928$	4.79107	−	1.28376i	0.157275	−	0.0421416i
$929$	−0.934689	+	1.61893i	−0.0306662	+	0.0531153i	−0.880951	−	0.473207i	$-0.843096\pi$
$929$	−0.934689	+	1.61893i	−0.0306662	+	0.0531153i	0.850285	+	0.526323i	$0.176430\pi$
$930$	2.84204	+	28.1333i	0.0931943	+	0.922528i
$931$	11.7386	−	11.7386i	0.384718	−	0.384718i
$932$	28.5249	−	7.64323i	0.934365	−	0.250362i
$933$			22.5572i			0.738491i
$934$	24.6437	−	14.2280i	0.806365	−	0.465555i
$935$	0.543894	+	0.755003i	0.0177872	+	0.0246912i
$936$		−	17.8031i		−	0.581913i
$937$	1.08017	−	4.03125i	0.0352877	−	0.131695i	−0.946035	−	0.324065i	$-0.894950\pi$
$937$	1.08017	−	4.03125i	0.0352877	−	0.131695i	0.981323	+	0.192369i	$0.0616171\pi$
$938$	11.7136	+	6.76286i	0.382463	+	0.220815i
$939$	48.8934	−	48.8934i	1.59558	−	1.59558i
$940$	−10.7231	−	28.2755i	−0.349747	−	0.922245i
$941$	18.1366	+	31.4135i	0.591236	+	1.02405i	0.994066	+	0.108776i	$0.0346932\pi$
$941$	18.1366	+	31.4135i	0.591236	+	1.02405i	−0.402830	+	0.915275i	$0.631973\pi$
$942$	26.6674	+	46.1893i	0.868871	+	1.50493i
$943$	8.72782	−	15.1170i	0.284217	−	0.492278i
$944$	11.1280	−	2.98174i	0.362186	−	0.0970474i
$945$	29.4310	+	13.2463i	0.957391	+	0.430902i
$946$	−0.632451	+	0.365145i	−0.0205627	+	0.0118719i
$947$	−12.1843	−	21.1038i	−0.395936	−	0.685781i	0.597284	−	0.802030i	$-0.296246\pi$
$947$	−12.1843	−	21.1038i	−0.395936	−	0.685781i	−0.993220	+	0.116248i	$0.962913\pi$
$948$		−	8.78194i		−	0.285224i
$949$	5.39015	+	20.1163i	0.174972	+	0.653003i
$950$	−13.4495	+	20.3485i	−0.436359	+	0.660192i
$951$	45.8001			1.48517
$952$	−5.79057	+	5.79057i	−0.187673	+	0.187673i
$953$	−5.86221	+	21.8781i	−0.189896	+	0.708700i	0.803634	+	0.595124i	$0.202897\pi$
$953$	−5.86221	+	21.8781i	−0.189896	+	0.708700i	−0.993529	+	0.113576i	$0.963770\pi$
$954$	−5.93766	+	5.93766i	−0.192239	+	0.192239i
$955$	21.0936	+	17.2229i	0.682574	+	0.557319i
$956$	−4.43845	−	4.43845i	−0.143550	−	0.143550i
$957$	−1.21376	−	0.700763i	−0.0392352	−	0.0226524i
$958$	6.57805	+	24.5496i	0.212527	+	0.793162i
$959$	34.2143	+	19.7536i	1.10484	+	0.637878i
$960$	−2.32465	−	6.12983i	−0.0750276	−	0.197839i
$961$		−	12.3964i		−	0.399883i
$962$	6.52843	−	18.2182i	0.210485	−	0.587377i
$963$	48.7747	−	48.7747i	1.57174	−	1.57174i
$964$	−16.0714	−	4.30632i	−0.517625	−	0.138697i
$965$	−49.7878	+	5.02959i	−1.60273	+	0.161908i
$966$	9.47273	+	5.46909i	0.304780	+	0.175965i
$967$	−20.2820	+	35.1294i	−0.652225	+	1.12969i	0.330357	+	0.943856i	$0.392831\pi$
$967$	−20.2820	+	35.1294i	−0.652225	+	1.12969i	−0.982582	+	0.185831i	$0.940502\pi$
$968$			10.9907i			0.353255i
$969$	−53.4821	−	30.8779i	−1.71809	−	0.991942i
$970$	23.0986	+	32.0641i	0.741651	+	1.02952i
$971$	12.4943	+	21.6407i	0.400960	+	0.694483i	0.993842	−	0.110806i	$-0.0353432\pi$
$971$	12.4943	+	21.6407i	0.400960	+	0.694483i	−0.592882	+	0.805289i	$0.702010\pi$
$972$	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
$975$	46.5539	+	2.81722i	1.49092	+	0.0902231i
$976$	−7.25297	−	7.25297i	−0.232162	−	0.232162i
$977$	−7.46297	+	4.30875i	−0.238762	+	0.137849i	−0.614607	−	0.788833i	$-0.710686\pi$
$977$	−7.46297	+	4.30875i	−0.238762	+	0.137849i	0.375846	+	0.926682i	$0.377352\pi$
$978$	−17.8497	−	4.78282i	−0.570771	−	0.152938i
$979$	−0.121229	+	0.452434i	−0.00387451	+	0.0144599i
$980$	−7.57081	+	0.764807i	−0.241841	+	0.0244309i
$981$	8.09475	+	30.2100i	0.258445	+	0.964532i
$982$	36.7268	−	21.2042i	1.17200	−	0.676655i
$983$	4.47782	−	16.7114i	0.142820	−	0.533012i	−0.857023	−	0.515279i	$-0.827688\pi$
$983$	4.47782	−	16.7114i	0.142820	−	0.533012i	0.999843	−	0.0177332i	$-0.00564495\pi$
$984$	−6.73351	+	25.1298i	−0.214656	+	0.801109i
$985$	−40.6421	−	6.60554i	−1.29497	−	0.210470i
$986$	−20.6871	+	5.54308i	−0.658810	+	0.176528i
$987$	−72.6373	−	19.4631i	−2.31207	−	0.619517i
$988$	10.9747	−	10.9747i	0.349151	−	0.349151i
$989$	14.9059			0.473980
$990$	−0.494934	+	1.09966i	−0.0157300	+	0.0349495i
$991$	−21.5501	−	21.5501i	−0.684562	−	0.684562i	0.276463	−	0.961025i	$-0.410838\pi$
$991$	−21.5501	−	21.5501i	−0.684562	−	0.684562i	−0.961025	+	0.276463i	$0.910838\pi$
$992$	−1.11634	−	4.16622i	−0.0354437	−	0.132278i
$993$	68.6449			2.17838
$994$	−0.941115	−	3.51229i	−0.0298504	−	0.111403i
$995$	14.3360	+	11.7053i	0.454483	+	0.371084i
$996$	−18.8255	+	32.6067i	−0.596508	+	1.03318i
$997$	−9.75014	−	16.8877i	−0.308790	−	0.534840i	0.669308	−	0.742985i	$-0.266591\pi$
$997$	−9.75014	−	16.8877i	−0.308790	−	0.534840i	−0.978098	+	0.208145i	$0.933257\pi$
$998$	−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.r.c.177.2	yes	8
5.3	odd	4		370.2.q.c.103.2	yes	8
37.23	odd	12		370.2.q.c.97.2	✓	8
185.23	even	12	inner	370.2.r.c.23.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.c.97.2	✓	8	37.23	odd	12
370.2.q.c.103.2	yes	8	5.3	odd	4
370.2.r.c.23.2	yes	8	185.23	even	12	inner
370.2.r.c.177.2	yes	8	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(2.83195 - 0.758819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.224745 + 2.22474i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(1.83195 - 0.490870i) q^{7} +1.00000i q^{8} +(4.84607 - 2.79788i) q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} +(2.83195 - 0.758819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(0.224745 + 2.22474i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(1.83195 - 0.490870i) q^{7} +1.00000i q^{8} +(4.84607 - 2.79788i) q^{9} +(-1.30701 - 1.81431i) q^{10} -0.0963763i q^{11} +(0.758819 - 2.83195i) q^{12} +(-2.75529 - 1.59077i) q^{13} +(-1.34108 + 1.34108i) q^{14} +(2.32465 + 6.12983i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.15892 + 3.73936i) q^{17} +(-2.79788 + 4.84607i) q^{18} +(-4.71209 + 1.26260i) q^{19} +(2.03906 + 0.917738i) q^{20} +(4.81552 - 2.78024i) q^{21} +(0.0481882 + 0.0834643i) q^{22} -1.96713i q^{23} +(0.758819 + 2.83195i) q^{24} +(-4.89898 + 1.00000i) q^{25} +3.18154 q^{26} +(5.38134 - 5.38134i) q^{27} +(0.490870 - 1.83195i) q^{28} +(3.50731 - 3.50731i) q^{29} +(-5.07812 - 4.14626i) q^{30} +(-3.04989 - 3.04989i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-0.0731322 - 0.272933i) q^{33} +(-3.73936 - 2.15892i) q^{34} +(1.50378 + 3.96530i) q^{35} -5.59575i q^{36} +(2.05197 - 5.72620i) q^{37} +(3.44949 - 3.44949i) q^{38} +(-9.00997 - 2.41421i) q^{39} +(-2.22474 + 0.224745i) q^{40} +(7.68482 + 4.43684i) q^{41} +(-2.78024 + 4.81552i) q^{42} +7.57749i q^{43} +(-0.0834643 - 0.0481882i) q^{44} +(7.31369 + 10.1525i) 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} +(3.74264 - 3.31552i) q^{50} +(8.95145 + 8.95145i) q^{51} +(-2.75529 + 1.59077i) q^{52} +(1.44949 + 0.388390i) q^{53} +(-1.96971 + 7.35105i) q^{54} +(0.214413 - 0.0216601i) q^{55} +(0.490870 + 1.83195i) q^{56} +(-12.3863 + 7.15125i) q^{57} +(-1.28376 + 4.79107i) q^{58} +(-2.98174 + 11.1280i) q^{59} +(6.47091 + 1.05171i) q^{60} +(9.90775 - 2.65477i) q^{61} +(4.16622 + 1.11634i) q^{62} +(7.50436 - 7.50436i) q^{63} -1.00000 q^{64} +(2.91982 - 6.48735i) q^{65} +(0.199801 + 0.199801i) q^{66} +(-1.84581 - 6.88865i) q^{67} +4.31784 q^{68} +(-1.49269 - 5.57081i) q^{69} +(-3.28497 - 2.68216i) q^{70} +(-0.958620 + 1.66038i) q^{71} +(2.79788 + 4.84607i) 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} +(-0.0473082 - 0.176557i) q^{77} +(9.00997 - 2.41421i) q^{78} +(2.89329 - 0.775255i) q^{79} +(1.81431 - 1.30701i) q^{80} +(2.76260 - 4.78497i) q^{81} -8.87367 q^{82} +(-12.4045 - 3.32377i) q^{83} -5.56048i q^{84} +(-7.83391 + 5.64344i) q^{85} +(-3.78875 - 6.56230i) q^{86} +(7.27111 - 12.5939i) q^{87} +0.0963763 q^{88} +(-4.69445 - 1.25787i) q^{89} +(-11.4101 - 5.13543i) q^{90} +(-5.82843 - 1.56172i) q^{91} +(-1.70358 - 0.983564i) q^{92} +(-10.9514 - 6.32282i) q^{93} +(13.0631 + 3.50026i) q^{94} +(-3.86798 - 10.1994i) q^{95} +(2.83195 + 0.758819i) q^{96} -17.6729 q^{97} +(1.70150 - 2.94709i) q^{98} +(-0.269649 - 0.467046i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 8 q^{3} + 4 q^{4} - 8 q^{5} - 4 q^{6} + 12 q^{9}+O(q^{10}) \) 8 * q + 8 * q^3 + 4 * q^4 - 8 * q^5 - 4 * q^6 + 12 * q^9	\( 8 q + 8 q^{3} + 4 q^{4} - 8 q^{5} - 4 q^{6} + 12 q^{9} - 4 q^{10} + 4 q^{12} - 12 q^{13} - 12 q^{14} + 8 q^{15} - 4 q^{16} + 16 q^{17} - 4 q^{19} - 4 q^{20} + 12 q^{21} - 4 q^{22} + 4 q^{24} - 8 q^{26} + 8 q^{27} - 12 q^{28} + 24 q^{29} - 8 q^{31} + 12 q^{33} - 12 q^{34} + 8 q^{38} - 16 q^{39} - 8 q^{40} + 12 q^{41} - 4 q^{42} + 12 q^{44} + 12 q^{45} - 4 q^{46} - 8 q^{47} - 4 q^{48} - 36 q^{49} - 4 q^{50} + 20 q^{51} - 12 q^{52} - 8 q^{53} + 4 q^{54} - 8 q^{55} - 12 q^{56} - 36 q^{57} + 8 q^{59} + 16 q^{60} + 28 q^{62} - 4 q^{63} - 8 q^{64} + 20 q^{65} - 8 q^{67} + 32 q^{68} - 16 q^{69} - 4 q^{71} - 16 q^{73} - 20 q^{75} + 4 q^{76} + 20 q^{77} + 16 q^{78} + 32 q^{79} + 4 q^{80} + 8 q^{81} + 16 q^{82} - 36 q^{83} - 16 q^{85} + 8 q^{86} + 24 q^{87} - 8 q^{88} - 8 q^{89} - 36 q^{90} - 24 q^{91} - 36 q^{93} + 16 q^{94} + 8 q^{95} + 8 q^{96} - 48 q^{97} - 4 q^{99}+O(q^{100}) \) 8 * q + 8 * q^3 + 4 * q^4 - 8 * q^5 - 4 * q^6 + 12 * q^9 - 4 * q^10 + 4 * q^12 - 12 * q^13 - 12 * q^14 + 8 * q^15 - 4 * q^16 + 16 * q^17 - 4 * q^19 - 4 * q^20 + 12 * q^21 - 4 * q^22 + 4 * q^24 - 8 * q^26 + 8 * q^27 - 12 * q^28 + 24 * q^29 - 8 * q^31 + 12 * q^33 - 12 * q^34 + 8 * q^38 - 16 * q^39 - 8 * q^40 + 12 * q^41 - 4 * q^42 + 12 * q^44 + 12 * q^45 - 4 * q^46 - 8 * q^47 - 4 * q^48 - 36 * q^49 - 4 * q^50 + 20 * q^51 - 12 * q^52 - 8 * q^53 + 4 * q^54 - 8 * q^55 - 12 * q^56 - 36 * q^57 + 8 * q^59 + 16 * q^60 + 28 * q^62 - 4 * q^63 - 8 * q^64 + 20 * q^65 - 8 * q^67 + 32 * q^68 - 16 * q^69 - 4 * q^71 - 16 * q^73 - 20 * q^75 + 4 * q^76 + 20 * q^77 + 16 * q^78 + 32 * q^79 + 4 * q^80 + 8 * q^81 + 16 * q^82 - 36 * q^83 - 16 * q^85 + 8 * q^86 + 24 * q^87 - 8 * q^88 - 8 * q^89 - 36 * q^90 - 24 * q^91 - 36 * q^93 + 16 * q^94 + 8 * q^95 + 8 * q^96 - 48 * q^97 - 4 * q^99

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