LMFDB - Embedded newform 231.2.j.g.148.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [231,2,Mod(64,231)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(231, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 0, 6]))

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

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

chi := DirichletCharacter("231.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 231 = 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	231.j (of order $5$, 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:	$1.84454428669$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} + 12 x^{18} - 3 x^{17} + 94 x^{16} - 10 x^{15} + 662 x^{14} - 153 x^{13} + 4638 x^{12} + \cdots + 121 $ x^20 + 12x^18 - 3x^17 + 94x^16 - 10x^15 + 662x^14 - 153x^13 + 4638x^12 - 1174x^11 + 15808x^10 - 3393x^9 + 26062x^8 - 15494x^7 + 11660x^6 - 33295x^5 + 67756x^4 - 43696x^3 + 13084x^2 - 1155x + 121
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 2^{4} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			148.3
Root			$0.0347586 - 0.106976i$ of defining polynomial
Character	$\chi$	$=$	231.148
Dual form			231.2.j.g.64.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0347586 - 0.106976i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(1.60780 - 1.16813i) q^{4} +(0.327964 - 1.00937i) q^{5} +(-0.0347586 + 0.106976i) q^{6} +(0.809017 - 0.587785i) q^{7} +(-0.362845 - 0.263622i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(-0.0347586 - 0.106976i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(1.60780 - 1.16813i) q^{4} +(0.327964 - 1.00937i) q^{5} +(-0.0347586 + 0.106976i) q^{6} +(0.809017 - 0.587785i) q^{7} +(-0.362845 - 0.263622i) q^{8} +(0.309017 + 0.951057i) q^{9} -0.119378 q^{10} +(-1.98228 + 2.65906i) q^{11} -1.98735 q^{12} +(-1.80523 - 5.55591i) q^{13} +(-0.0909991 - 0.0661147i) q^{14} +(-0.858621 + 0.623825i) q^{15} +(1.21266 - 3.73218i) q^{16} +(0.866901 - 2.66805i) q^{17} +(0.0909991 - 0.0661147i) q^{18} +(2.88140 + 2.09346i) q^{19} +(-0.651779 - 2.00597i) q^{20} -1.00000 q^{21} +(0.353356 + 0.119631i) q^{22} +4.72213 q^{23} +(0.138595 + 0.426550i) q^{24} +(3.13382 + 2.27685i) q^{25} +(-0.531602 + 0.386231i) q^{26} +(0.309017 - 0.951057i) q^{27} +(0.614124 - 1.89008i) q^{28} +(-6.95415 + 5.05249i) q^{29} +(0.0965786 + 0.0701685i) q^{30} +(0.538180 + 1.65635i) q^{31} -1.33841 q^{32} +(3.16665 - 0.986068i) q^{33} -0.315549 q^{34} +(-0.327964 - 1.00937i) q^{35} +(1.60780 + 1.16813i) q^{36} +(-3.83899 + 2.78919i) q^{37} +(0.123796 - 0.381006i) q^{38} +(-1.80523 + 5.55591i) q^{39} +(-0.385093 + 0.279786i) q^{40} +(-4.96673 - 3.60854i) q^{41} +(0.0347586 + 0.106976i) q^{42} +5.25083 q^{43} +(-0.0809682 + 6.59079i) q^{44} +1.06131 q^{45} +(-0.164134 - 0.505154i) q^{46} +(6.62706 + 4.81484i) q^{47} +(-3.17478 + 2.30662i) q^{48} +(0.309017 - 0.951057i) q^{49} +(0.134641 - 0.414383i) q^{50} +(-2.26958 + 1.64894i) q^{51} +(-9.39249 - 6.82404i) q^{52} +(4.43103 + 13.6373i) q^{53} -0.112481 q^{54} +(2.03385 + 2.87292i) q^{55} -0.448501 q^{56} +(-1.10060 - 3.38729i) q^{57} +(0.782211 + 0.568309i) q^{58} +(-3.15978 + 2.29571i) q^{59} +(-0.651779 + 2.00597i) q^{60} +(-4.55857 + 14.0298i) q^{61} +(0.158483 - 0.115145i) q^{62} +(0.809017 + 0.587785i) q^{63} +(-2.37880 - 7.32119i) q^{64} -6.20002 q^{65} +(-0.215554 - 0.304481i) q^{66} +8.29079 q^{67} +(-1.72283 - 5.30234i) q^{68} +(-3.82028 - 2.77560i) q^{69} +(-0.0965786 + 0.0701685i) q^{70} +(3.59604 - 11.0675i) q^{71} +(0.138595 - 0.426550i) q^{72} +(3.39827 - 2.46898i) q^{73} +(0.431814 + 0.313731i) q^{74} +(-1.19701 - 3.68402i) q^{75} +7.07815 q^{76} +(-0.0407418 + 3.31637i) q^{77} +0.657096 q^{78} +(2.10262 + 6.47119i) q^{79} +(-3.36944 - 2.44804i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.213390 + 0.656748i) q^{82} +(0.360039 - 1.10809i) q^{83} +(-1.60780 + 1.16813i) q^{84} +(-2.40873 - 1.75005i) q^{85} +(-0.182511 - 0.561712i) q^{86} +8.59581 q^{87} +(1.42025 - 0.442253i) q^{88} +2.90784 q^{89} +(-0.0368898 - 0.113535i) q^{90} +(-4.72614 - 3.43374i) q^{91} +(7.59223 - 5.51607i) q^{92} +(0.538180 - 1.65635i) q^{93} +(0.284725 - 0.876292i) q^{94} +(3.05807 - 2.22182i) q^{95} +(1.08279 + 0.786696i) q^{96} +(-1.49964 - 4.61542i) q^{97} -0.112481 q^{98} +(-3.14147 - 1.06356i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 5 q^{3} - 14 q^{4} - 5 q^{5} + 5 q^{7} - 9 q^{8} - 5 q^{9}+O(q^{10}) $ 20 * q - 5 * q^3 - 14 * q^4 - 5 * q^5 + 5 * q^7 - 9 * q^8 - 5 * q^9	\( 20 q - 5 q^{3} - 14 q^{4} - 5 q^{5} + 5 q^{7} - 9 q^{8} - 5 q^{9} + 12 q^{10} - q^{11} + 36 q^{12} + 13 q^{13} - 24 q^{16} - q^{17} + 10 q^{19} - 46 q^{20} - 20 q^{21} + 26 q^{22} + 6 q^{24} - 8 q^{25} - 53 q^{26} - 5 q^{27} + 4 q^{28} + 3 q^{29} - 3 q^{30} - 13 q^{31} + 82 q^{32} + 9 q^{33} + 42 q^{34} + 5 q^{35} - 14 q^{36} - 32 q^{37} + 16 q^{38} + 13 q^{39} + 20 q^{40} - 3 q^{41} + 12 q^{43} + 25 q^{44} + 10 q^{45} - 13 q^{46} + 20 q^{47} - 14 q^{48} - 5 q^{49} - 83 q^{50} + 9 q^{51} - 80 q^{52} + 3 q^{53} - 28 q^{55} - 6 q^{56} - 10 q^{57} + 2 q^{58} - 9 q^{59} - 46 q^{60} - 15 q^{61} - 37 q^{62} + 5 q^{63} - 49 q^{64} + 58 q^{65} - 4 q^{66} + 76 q^{67} + 51 q^{68} + 3 q^{70} + 37 q^{71} + 6 q^{72} + 27 q^{73} - 32 q^{74} - 23 q^{75} + 4 q^{76} + 6 q^{77} + 2 q^{78} + 5 q^{79} + 137 q^{80} - 5 q^{81} - 55 q^{82} - 42 q^{83} + 14 q^{84} - 48 q^{85} + 3 q^{86} + 28 q^{87} + 151 q^{88} - 18 q^{89} - 3 q^{90} + 7 q^{91} + 39 q^{92} - 13 q^{93} - 35 q^{94} - 96 q^{95} - 48 q^{96} - 27 q^{97} - q^{99}+O(q^{100}) \) 20 * q - 5 * q^3 - 14 * q^4 - 5 * q^5 + 5 * q^7 - 9 * q^8 - 5 * q^9 + 12 * q^10 - q^11 + 36 * q^12 + 13 * q^13 - 24 * q^16 - q^17 + 10 * q^19 - 46 * q^20 - 20 * q^21 + 26 * q^22 + 6 * q^24 - 8 * q^25 - 53 * q^26 - 5 * q^27 + 4 * q^28 + 3 * q^29 - 3 * q^30 - 13 * q^31 + 82 * q^32 + 9 * q^33 + 42 * q^34 + 5 * q^35 - 14 * q^36 - 32 * q^37 + 16 * q^38 + 13 * q^39 + 20 * q^40 - 3 * q^41 + 12 * q^43 + 25 * q^44 + 10 * q^45 - 13 * q^46 + 20 * q^47 - 14 * q^48 - 5 * q^49 - 83 * q^50 + 9 * q^51 - 80 * q^52 + 3 * q^53 - 28 * q^55 - 6 * q^56 - 10 * q^57 + 2 * q^58 - 9 * q^59 - 46 * q^60 - 15 * q^61 - 37 * q^62 + 5 * q^63 - 49 * q^64 + 58 * q^65 - 4 * q^66 + 76 * q^67 + 51 * q^68 + 3 * q^70 + 37 * q^71 + 6 * q^72 + 27 * q^73 - 32 * q^74 - 23 * q^75 + 4 * q^76 + 6 * q^77 + 2 * q^78 + 5 * q^79 + 137 * q^80 - 5 * q^81 - 55 * q^82 - 42 * q^83 + 14 * q^84 - 48 * q^85 + 3 * q^86 + 28 * q^87 + 151 * q^88 - 18 * q^89 - 3 * q^90 + 7 * q^91 + 39 * q^92 - 13 * q^93 - 35 * q^94 - 96 * q^95 - 48 * q^96 - 27 * q^97 - q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/231\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{5}\right)$

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 $

$2$	−0.0347586	−	0.106976i	−0.0245780	−	0.0756434i	0.938015	−	0.346594i	$-0.112662\pi$
$2$	−0.0347586	−	0.106976i	−0.0245780	−	0.0756434i	−0.962593	+	0.270951i	$0.912662\pi$
$3$	−0.809017	−	0.587785i	−0.467086	−	0.339358i
$3$	−0.809017	−	0.587785i	−0.467086	−	0.339358i
$4$	1.60780	−	1.16813i	0.803899	−	0.584067i
$5$	0.327964	−	1.00937i	0.146670	−	0.451404i	−0.850552	−	0.525891i	$-0.823732\pi$
$5$	0.327964	−	1.00937i	0.146670	−	0.451404i	0.997222	+	0.0744872i	$0.0237320\pi$
$6$	−0.0347586	+	0.106976i	−0.0141901	+	0.0436727i
$7$	0.809017	−	0.587785i	0.305780	−	0.222162i
$7$	0.809017	−	0.587785i	0.305780	−	0.222162i
$8$	−0.362845	−	0.263622i	−0.128285	−	0.0932046i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	−0.119378			−0.0377506
$11$	−1.98228	+	2.65906i	−0.597679	+	0.801736i
$11$	−1.98228	+	2.65906i	−0.597679	+	0.801736i
$12$	−1.98735			−0.573698
$13$	−1.80523	−	5.55591i	−0.500680	−	1.54093i	−0.807915	−	0.589300i	$-0.799404\pi$
$13$	−1.80523	−	5.55591i	−0.500680	−	1.54093i	0.307235	−	0.951634i	$-0.400596\pi$
$14$	−0.0909991	−	0.0661147i	−0.0243205	−	0.0176699i
$15$	−0.858621	+	0.623825i	−0.221695	+	0.161071i
$16$	1.21266	−	3.73218i	0.303165	−	0.933045i
$17$	0.866901	−	2.66805i	0.210254	−	0.647096i	−0.789202	−	0.614133i	$-0.789506\pi$
$17$	0.866901	−	2.66805i	0.210254	−	0.647096i	0.999457	−	0.0329629i	$-0.0104943\pi$
$18$	0.0909991	−	0.0661147i	0.0214487	−	0.0155834i
$19$	2.88140	+	2.09346i	0.661038	+	0.480272i	0.867013	−	0.498285i	$-0.166037\pi$
$19$	2.88140	+	2.09346i	0.661038	+	0.480272i	−0.205975	+	0.978557i	$0.566037\pi$
$20$	−0.651779	−	2.00597i	−0.145742	−	0.448548i
$21$	−1.00000			−0.218218
$22$	0.353356	+	0.119631i	0.0753357	+	0.0255054i
$23$	4.72213			0.984631			0.492316	−	0.870417i	$-0.336151\pi$
$23$	4.72213			0.984631			0.492316	+	0.870417i	$0.336151\pi$
$24$	0.138595	+	0.426550i	0.0282905	+	0.0870692i
$25$	3.13382	+	2.27685i	0.626764	+	0.455370i
$26$	−0.531602	+	0.386231i	−0.104256	+	0.0757462i
$27$	0.309017	−	0.951057i	0.0594703	−	0.183031i
$28$	0.614124	−	1.89008i	0.116059	−	0.357192i
$29$	−6.95415	+	5.05249i	−1.29135	+	0.938223i	−0.999832	−	0.0183408i	$-0.994162\pi$
$29$	−6.95415	+	5.05249i	−1.29135	+	0.938223i	−0.291522	+	0.956564i	$0.594162\pi$
$30$	0.0965786	+	0.0701685i	0.0176328	+	0.0128110i
$31$	0.538180	+	1.65635i	0.0966600	+	0.297489i	0.987683	−	0.156470i	$-0.0500114\pi$
$31$	0.538180	+	1.65635i	0.0966600	+	0.297489i	−0.891023	+	0.453959i	$0.850011\pi$
$32$	−1.33841			−0.236599
$33$	3.16665	−	0.986068i	0.551243	−	0.171652i
$34$	−0.315549			−0.0541162
$35$	−0.327964	−	1.00937i	−0.0554360	−	0.170615i
$36$	1.60780	+	1.16813i	0.267966	+	0.194689i
$37$	−3.83899	+	2.78919i	−0.631127	+	0.458540i	−0.856790	−	0.515665i	$-0.827545\pi$
$37$	−3.83899	+	2.78919i	−0.631127	+	0.458540i	0.225664	+	0.974205i	$0.427545\pi$
$38$	0.123796	−	0.381006i	0.0200824	−	0.0618073i
$39$	−1.80523	+	5.55591i	−0.289067	+	0.889658i
$40$	−0.385093	+	0.279786i	−0.0608885	+	0.0442381i
$41$	−4.96673	−	3.60854i	−0.775673	−	0.563559i	0.128004	−	0.991774i	$-0.459143\pi$
$41$	−4.96673	−	3.60854i	−0.775673	−	0.563559i	−0.903677	+	0.428214i	$0.859143\pi$
$42$	0.0347586	+	0.106976i	0.00536336	+	0.0165067i
$43$	5.25083			0.800744			0.400372	−	0.916353i	$-0.368881\pi$
$43$	5.25083			0.800744			0.400372	+	0.916353i	$0.368881\pi$
$44$	−0.0809682	+	6.59079i	−0.0122064	+	0.993599i
$45$	1.06131			0.158211
$46$	−0.164134	−	0.505154i	−0.0242003	−	0.0744808i
$47$	6.62706	+	4.81484i	0.966656	+	0.702317i	0.954687	−	0.297612i	$-0.0961901\pi$
$47$	6.62706	+	4.81484i	0.966656	+	0.702317i	0.0119689	+	0.999928i	$0.496190\pi$
$48$	−3.17478	+	2.30662i	−0.458241	+	0.332931i
$49$	0.309017	−	0.951057i	0.0441453	−	0.135865i
$50$	0.134641	−	0.414383i	0.0190411	−	0.0586026i
$51$	−2.26958	+	1.64894i	−0.317804	+	0.230898i
$52$	−9.39249	−	6.82404i	−1.30250	−	0.946325i
$53$	4.43103	+	13.6373i	0.608649	+	1.87323i	0.469436	+	0.882966i	$0.344457\pi$
$53$	4.43103	+	13.6373i	0.608649	+	1.87323i	0.139213	+	0.990262i	$0.455543\pi$
$54$	−0.112481			−0.0153067
$55$	2.03385	+	2.87292i	0.274245	+	0.387385i
$56$	−0.448501			−0.0599335
$57$	−1.10060	−	3.38729i	−0.145778	−	0.448657i
$58$	0.782211	+	0.568309i	0.102709	+	0.0746227i
$59$	−3.15978	+	2.29571i	−0.411368	+	0.298876i	−0.774155	−	0.632996i	$-0.781825\pi$
$59$	−3.15978	+	2.29571i	−0.411368	+	0.298876i	0.362787	+	0.931872i	$0.381825\pi$
$60$	−0.651779	+	2.00597i	−0.0841443	+	0.258969i
$61$	−4.55857	+	14.0298i	−0.583665	+	1.79634i	0.0209002	+	0.999782i	$0.493347\pi$
$61$	−4.55857	+	14.0298i	−0.583665	+	1.79634i	−0.604565	+	0.796555i	$0.706653\pi$
$62$	0.158483	−	0.115145i	0.0201274	−	0.0146234i
$63$	0.809017	+	0.587785i	0.101927	+	0.0740540i
$64$	−2.37880	−	7.32119i	−0.297350	−	0.915148i
$65$	−6.20002			−0.769018
$66$	−0.215554	−	0.304481i	−0.0265328	−	0.0374790i
$67$	8.29079			1.01288			0.506441	−	0.862275i	$-0.330961\pi$
$67$	8.29079			1.01288			0.506441	+	0.862275i	$0.330961\pi$
$68$	−1.72283	−	5.30234i	−0.208924	−	0.643003i
$69$	−3.82028	−	2.77560i	−0.459908	−	0.334142i
$70$	−0.0965786	+	0.0701685i	−0.0115434	+	0.00838674i
$71$	3.59604	−	11.0675i	0.426772	−	1.31347i	−0.474516	−	0.880247i	$-0.657377\pi$
$71$	3.59604	−	11.0675i	0.426772	−	1.31347i	0.901288	−	0.433221i	$-0.142623\pi$
$72$	0.138595	−	0.426550i	0.0163335	−	0.0502694i
$73$	3.39827	−	2.46898i	0.397737	−	0.288973i	−0.370882	−	0.928680i	$-0.620944\pi$
$73$	3.39827	−	2.46898i	0.397737	−	0.288973i	0.768619	+	0.639707i	$0.220944\pi$
$74$	0.431814	+	0.313731i	0.0501974	+	0.0364705i
$75$	−1.19701	−	3.68402i	−0.138219	−	0.425395i
$76$	7.07815			0.811919
$77$	−0.0407418	+	3.31637i	−0.00464296	+	0.377936i
$78$	0.657096			0.0744015
$79$	2.10262	+	6.47119i	0.236563	+	0.728065i	0.996910	+	0.0785488i	$0.0250287\pi$
$79$	2.10262	+	6.47119i	0.236563	+	0.728065i	−0.760348	+	0.649516i	$0.774971\pi$
$80$	−3.36944	−	2.44804i	−0.376715	−	0.273700i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−0.213390	+	0.656748i	−0.0235650	+	0.0725257i
$83$	0.360039	−	1.10809i	0.0395194	−	0.121628i	−0.929350	−	0.369199i	$-0.879632\pi$
$83$	0.360039	−	1.10809i	0.0395194	−	0.121628i	0.968870	+	0.247571i	$0.0796322\pi$
$84$	−1.60780	+	1.16813i	−0.175425	+	0.127454i
$85$	−2.40873	−	1.75005i	−0.261264	−	0.189819i
$86$	−0.182511	−	0.561712i	−0.0196807	−	0.0605710i
$87$	8.59581			0.921567
$88$	1.42025	−	0.442253i	0.151399	−	0.0471443i
$89$	2.90784			0.308230			0.154115	−	0.988053i	$-0.450747\pi$
$89$	2.90784			0.308230			0.154115	+	0.988053i	$0.450747\pi$
$90$	−0.0368898	−	0.113535i	−0.00388852	−	0.0119676i
$91$	−4.72614	−	3.43374i	−0.495434	−	0.359954i
$92$	7.59223	−	5.51607i	0.791544	−	0.575091i
$93$	0.538180	−	1.65635i	0.0558067	−	0.171755i
$94$	0.284725	−	0.876292i	0.0293671	−	0.0903827i
$95$	3.05807	−	2.22182i	0.313751	−	0.227954i
$96$	1.08279	+	0.786696i	0.110512	+	0.0802918i
$97$	−1.49964	−	4.61542i	−0.152265	−	0.468625i	0.845608	−	0.533804i	$-0.179238\pi$
$97$	−1.49964	−	4.61542i	−0.152265	−	0.468625i	−0.997874	+	0.0651793i	$0.979238\pi$
$98$	−0.112481			−0.0113623
$99$	−3.14147	−	1.06356i	−0.315730	−	0.106892i
$100$	7.69822			0.769822
$101$	−2.87342	−	8.84348i	−0.285916	−	0.879959i	−0.986123	−	0.166019i	$-0.946909\pi$
$101$	−2.87342	−	8.84348i	−0.285916	−	0.879959i	0.700207	−	0.713940i	$-0.253091\pi$
$102$	0.255284	+	0.185475i	0.0252769	+	0.0183648i
$103$	−10.5075	+	7.63413i	−1.03533	+	0.752214i	−0.969369	−	0.245608i	$-0.921012\pi$
$103$	−10.5075	+	7.63413i	−1.03533	+	0.752214i	−0.0659640	+	0.997822i	$0.521012\pi$
$104$	−0.809646	+	2.49183i	−0.0793923	+	0.244345i
$105$	−0.327964	+	1.00937i	−0.0320060	+	0.0985044i
$106$	1.30485	−	0.948027i	0.126738	−	0.0920805i
$107$	1.49890	+	1.08902i	0.144904	+	0.105279i	0.657876	−	0.753127i	$-0.271455\pi$
$107$	1.49890	+	1.08902i	0.144904	+	0.105279i	−0.512971	+	0.858406i	$0.671455\pi$
$108$	−0.614124	−	1.89008i	−0.0590941	−	0.181873i
$109$	−4.65704			−0.446063			−0.223032	−	0.974811i	$-0.571595\pi$
$109$	−4.65704			−0.446063			−0.223032	+	0.974811i	$0.571595\pi$
$110$	0.236640	−	0.317432i	0.0225627	−	0.0302660i
$111$	4.74526			0.450400
$112$	−1.21266	−	3.73218i	−0.114586	−	0.352658i
$113$	−8.77606	−	6.37618i	−0.825582	−	0.599821i	0.0927236	−	0.995692i	$-0.470443\pi$
$113$	−8.77606	−	6.37618i	−0.825582	−	0.599821i	−0.918306	+	0.395871i	$0.870443\pi$
$114$	−0.324103	+	0.235474i	−0.0303550	+	0.0220542i
$115$	1.54869	−	4.76637i	0.144416	−	0.444466i
$116$	−5.27889	+	16.2468i	−0.490133	+	1.50847i
$117$	4.72614	−	3.43374i	0.436932	−	0.317450i
$118$	0.355415	+	0.258224i	0.0327186	+	0.0237715i
$119$	−0.866901	−	2.66805i	−0.0794687	−	0.244579i
$120$	0.476001			0.0434527
$121$	−3.14116	−	10.5420i	−0.285560	−	0.958361i
$122$	1.65930			0.150226
$123$	1.89712	+	5.83874i	0.171058	+	0.526462i
$124$	2.80012	+	2.03441i	0.251458	+	0.182695i
$125$	7.61907	−	5.53558i	0.681470	−	0.495117i
$126$	0.0347586	−	0.106976i	0.00309654	−	0.00953017i
$127$	−2.35501	+	7.24796i	−0.208973	+	0.643152i	0.790554	+	0.612392i	$0.209793\pi$
$127$	−2.35501	+	7.24796i	−0.208973	+	0.643152i	−0.999527	+	0.0307600i	$0.990207\pi$
$128$	−2.86609	+	2.08234i	−0.253329	+	0.184055i
$129$	−4.24801	−	3.08636i	−0.374016	−	0.271739i
$130$	0.215504	+	0.663253i	0.0189009	+	0.0581711i
$131$	5.66648			0.495083			0.247541	−	0.968877i	$-0.420377\pi$
$131$	5.66648			0.495083			0.247541	+	0.968877i	$0.420377\pi$
$132$	3.93947	−	5.28447i	0.342887	−	0.459954i
$133$	3.56160			0.308830
$134$	−0.288176	−	0.886915i	−0.0248946	−	0.0766178i
$135$	−0.858621	−	0.623825i	−0.0738983	−	0.0536903i
$136$	−1.01791	+	0.739553i	−0.0872849	+	0.0634162i
$137$	5.06796	−	15.5976i	0.432985	−	1.33259i	−0.462152	−	0.886801i	$-0.652922\pi$
$137$	5.06796	−	15.5976i	0.432985	−	1.33259i	0.895137	−	0.445791i	$-0.147078\pi$
$138$	−0.164134	+	0.505154i	−0.0139720	+	0.0430015i
$139$	−15.3552	+	11.1562i	−1.30241	+	0.946257i	−0.999976	−	0.00691311i	$-0.997799\pi$
$139$	−15.3552	+	11.1562i	−1.30241	+	0.946257i	−0.302435	+	0.953170i	$0.597799\pi$
$140$	−1.70638	−	1.23976i	−0.144215	−	0.104779i
$141$	−2.53131	−	7.79057i	−0.213175	−	0.656085i
$142$	−1.30895			−0.109844
$143$	18.3519	+	6.21316i	1.53467	+	0.519571i
$144$	3.92425			0.327021
$145$	2.81911	+	8.67634i	0.234115	+	0.720531i
$146$	−0.382241	−	0.277714i	−0.0316345	−	0.0229838i
$147$	−0.809017	+	0.587785i	−0.0667266	+	0.0484797i
$148$	−2.91418	+	8.96892i	−0.239544	+	0.737241i
$149$	3.32166	−	10.2230i	0.272121	−	0.837501i	−0.717846	−	0.696202i	$-0.754872\pi$
$149$	3.32166	−	10.2230i	0.272121	−	0.837501i	0.989967	−	0.141300i	$-0.0451281\pi$
$150$	−0.352495	+	0.256103i	−0.0287811	+	0.0209107i
$151$	−5.80994	−	4.22117i	−0.472806	−	0.343514i	0.325728	−	0.945464i	$-0.394391\pi$
$151$	−5.80994	−	4.22117i	−0.472806	−	0.343514i	−0.798534	+	0.601950i	$0.794391\pi$
$152$	−0.493619	−	1.51920i	−0.0400378	−	0.123224i
$153$	2.80535			0.226799
$154$	0.356188	−	0.110914i	0.0287025	−	0.00893771i
$155$	1.84837			0.148465
$156$	3.58761	+	11.0415i	0.287239	+	0.884030i
$157$	−1.82023	−	1.32248i	−0.145270	−	0.105545i	0.512776	−	0.858522i	$-0.328617\pi$
$157$	−1.82023	−	1.32248i	−0.145270	−	0.105545i	−0.658047	+	0.752977i	$0.728617\pi$
$158$	0.619177	−	0.449858i	0.0492591	−	0.0357888i
$159$	4.43103	−	13.6373i	0.351404	−	1.08151i
$160$	−0.438949	+	1.35095i	−0.0347020	+	0.106802i
$161$	3.82028	−	2.77560i	0.301080	−	0.218748i
$162$	0.0909991	+	0.0661147i	0.00714957	+	0.00519446i
$163$	−4.91462	−	15.1256i	−0.384942	−	1.18473i	−0.936522	−	0.350609i	$-0.885975\pi$
$163$	−4.91462	−	15.1256i	−0.384942	−	1.18473i	0.551580	−	0.834122i	$-0.314025\pi$
$164$	−12.2008			−0.952719
$165$	0.0432399	−	3.51971i	0.00336622	−	0.274009i
$166$	−0.131053			−0.0101717
$167$	−2.15937	−	6.64585i	−0.167097	−	0.514271i	0.832088	−	0.554644i	$-0.187146\pi$
$167$	−2.15937	−	6.64585i	−0.167097	−	0.514271i	−0.999185	+	0.0403725i	$0.987146\pi$
$168$	0.362845	+	0.263622i	0.0279941	+	0.0203389i
$169$	−17.0921	+	12.4182i	−1.31478	+	0.955242i
$170$	−0.103489	+	0.318505i	−0.00793722	+	0.0244282i
$171$	−1.10060	+	3.38729i	−0.0841647	+	0.259032i
$172$	8.44228	−	6.13367i	0.643717	−	0.467688i
$173$	−16.8516	−	12.2434i	−1.28120	−	0.930847i	−0.281613	−	0.959528i	$-0.590869\pi$
$173$	−16.8516	−	12.2434i	−1.28120	−	0.930847i	−0.999589	+	0.0286811i	$0.990869\pi$
$174$	−0.298778	−	0.919544i	−0.0226503	−	0.0697104i
$175$	3.87361			0.292818
$176$	7.52025	+	10.6227i	0.566860	+	0.800720i
$177$	3.90570			0.293570
$178$	−0.101072	−	0.311068i	−0.00757569	−	0.0233156i
$179$	10.8922	+	7.91368i	0.814125	+	0.591496i	0.915024	−	0.403400i	$-0.132172\pi$
$179$	10.8922	+	7.91368i	0.814125	+	0.591496i	−0.100899	+	0.994897i	$0.532172\pi$
$180$	1.70638	−	1.23976i	0.127186	−	0.0924060i
$181$	−0.0321335	+	0.0988968i	−0.00238847	+	0.00735094i	−0.952244	−	0.305339i	$-0.901230\pi$
$181$	−0.0321335	+	0.0988968i	−0.00238847	+	0.00735094i	0.949855	+	0.312690i	$0.101230\pi$
$182$	−0.203054	+	0.624935i	−0.0150513	+	0.0463233i
$183$	11.9345	−	8.67092i	0.882223	−	0.640973i
$184$	−1.71340	−	1.24486i	−0.126314	−	0.0917722i
$185$	1.55627	+	4.78972i	0.114420	+	0.352147i
$186$	−0.195896			−0.0143638
$187$	5.37605	+	7.59394i	0.393135	+	0.555324i
$188$	16.2794			1.18729
$189$	−0.309017	−	0.951057i	−0.0224777	−	0.0691792i
$190$	−0.343975	−	0.249912i	−0.0249546	−	0.0181305i
$191$	−11.1097	+	8.07164i	−0.803866	+	0.584043i	−0.912046	−	0.410088i	$-0.865498\pi$
$191$	−11.1097	+	8.07164i	−0.803866	+	0.584043i	0.108180	+	0.994131i	$0.465498\pi$
$192$	−2.37880	+	7.32119i	−0.171675	+	0.528361i
$193$	−3.87840	+	11.9365i	−0.279173	+	0.859208i	0.708911	+	0.705298i	$0.249187\pi$
$193$	−3.87840	+	11.9365i	−0.279173	+	0.859208i	−0.988085	+	0.153910i	$0.950813\pi$
$194$	−0.441613	+	0.320851i	−0.0317060	+	0.0230357i
$195$	5.01592	+	3.64428i	0.359198	+	0.260972i
$196$	−0.614124	−	1.89008i	−0.0438660	−	0.135006i
$197$	2.10513			0.149984			0.0749920	−	0.997184i	$-0.476107\pi$
$197$	2.10513			0.149984			0.0749920	+	0.997184i	$0.476107\pi$
$198$	−0.00458269	+	0.373029i	−0.000325677	+	0.0265101i
$199$	−6.57256			−0.465916			−0.232958	−	0.972487i	$-0.574840\pi$
$199$	−6.57256			−0.465916			−0.232958	+	0.972487i	$0.574840\pi$
$200$	−0.536862	−	1.65229i	−0.0379618	−	0.116835i
$201$	−6.70739	−	4.87320i	−0.473103	−	0.343729i
$202$	−0.846163	+	0.614773i	−0.0595358	+	0.0432553i
$203$	−2.65625	+	8.17510i	−0.186432	+	0.573779i
$204$	−1.72283	+	5.30234i	−0.120622	+	0.371238i
$205$	−5.27126	+	3.82979i	−0.368161	+	0.267484i
$206$	1.18189	+	0.858696i	0.0823464	+	0.0598282i
$207$	1.45922	+	4.49101i	0.101423	+	0.312147i
$208$	−22.9248			−1.58955
$209$	−11.2784	+	3.51198i	−0.780140	+	0.242929i
$210$	0.119378			0.00823785
$211$	2.16276	+	6.65628i	0.148890	+	0.458237i	0.997491	−	0.0707970i	$-0.0225542\pi$
$211$	2.16276	+	6.65628i	0.148890	+	0.458237i	−0.848600	+	0.529034i	$0.822554\pi$
$212$	23.0544	+	16.7500i	1.58338	+	1.15040i
$213$	−9.41456	+	6.84008i	−0.645075	+	0.468675i
$214$	0.0643988	−	0.198199i	0.00440221	−	0.0135486i
$215$	1.72208	−	5.30003i	0.117445	−	0.361459i
$216$	−0.362845	+	0.263622i	−0.0246885	+	0.0179372i
$217$	1.40897	+	1.02368i	0.0956474	+	0.0694919i
$218$	0.161872	+	0.498191i	0.0109634	+	0.0337417i
$219$	−4.20049			−0.283843
$220$	6.62599	+	2.24327i	0.446724	+	0.151241i
$221$	−16.3884			−1.10240
$222$	−0.164938	−	0.507628i	−0.0110699	−	0.0340698i
$223$	−15.0147	−	10.9088i	−1.00546	−	0.730507i	−0.0422054	−	0.999109i	$-0.513438\pi$
$223$	−15.0147	−	10.9088i	−1.00546	−	0.730507i	−0.963251	+	0.268602i	$0.913438\pi$
$224$	−1.08279	+	0.786696i	−0.0723472	+	0.0525633i
$225$	−1.19701	+	3.68402i	−0.0798008	+	0.245602i
$226$	−0.377054	+	1.16045i	−0.0250813	+	0.0771922i
$227$	−7.33830	+	5.33158i	−0.487060	+	0.353870i	−0.804052	−	0.594558i	$-0.797327\pi$
$227$	−7.33830	+	5.33158i	−0.487060	+	0.353870i	0.316993	+	0.948428i	$0.397327\pi$
$228$	−5.72634	−	4.16043i	−0.379236	−	0.275531i
$229$	8.39098	+	25.8248i	0.554491	+	1.70655i	0.697283	+	0.716796i	$0.254392\pi$
$229$	8.39098	+	25.8248i	0.554491	+	1.70655i	−0.142792	+	0.989753i	$0.545608\pi$
$230$	−0.563717			−0.0371704
$231$	1.98228	−	2.65906i	0.130424	−	0.174953i
$232$	3.85523			0.253108
$233$	−0.485316	−	1.49365i	−0.0317941	−	0.0978522i	0.933900	−	0.357534i	$-0.116382\pi$
$233$	−0.485316	−	1.49365i	−0.0317941	−	0.0978522i	−0.965694	+	0.259682i	$0.916382\pi$
$234$	−0.531602	−	0.386231i	−0.0347519	−	0.0252487i
$235$	7.03339	−	5.11006i	0.458808	−	0.333343i
$236$	−2.39859	+	7.38209i	−0.156135	+	0.480533i
$237$	2.10262	−	6.47119i	0.136580	−	0.420349i
$238$	−0.255284	+	0.185475i	−0.0165476	+	0.0120226i
$239$	12.3783	+	8.99336i	0.800686	+	0.581732i	0.911115	−	0.412152i	$-0.135223\pi$
$239$	12.3783	+	8.99336i	0.800686	+	0.581732i	−0.110430	+	0.993884i	$0.535223\pi$
$240$	1.28701	+	3.96102i	0.0830763	+	0.255683i
$241$	21.1065			1.35959			0.679796	−	0.733401i	$-0.262068\pi$
$241$	21.1065			1.35959			0.679796	+	0.733401i	$0.262068\pi$
$242$	−1.01855	+	0.702452i	−0.0654752	+	0.0451553i
$243$	1.00000			0.0641500
$244$	9.05947	+	27.8822i	0.579973	+	1.78497i
$245$	−0.858621	−	0.623825i	−0.0548553	−	0.0398547i
$246$	0.558663	−	0.405893i	0.0356191	−	0.0258788i
$247$	6.42950	−	19.7880i	0.409099	−	1.25908i
$248$	0.241375	−	0.742875i	0.0153273	−	0.0471726i
$249$	−0.942594	+	0.684834i	−0.0597344	+	0.0433996i
$250$	−0.857001	−	0.622648i	−0.0542015	−	0.0393797i
$251$	0.834821	+	2.56931i	0.0526934	+	0.162174i	0.973940	−	0.226805i	$-0.0728280\pi$
$251$	0.834821	+	2.56931i	0.0526934	+	0.162174i	−0.921247	+	0.388979i	$0.872828\pi$
$252$	1.98735			0.125191
$253$	−9.36056	+	12.5564i	−0.588493	+	0.789414i
$254$	0.857214			0.0537864
$255$	0.920054	+	2.83163i	0.0576160	+	0.177324i
$256$	−12.1332	−	8.81526i	−0.758323	−	0.550954i
$257$	23.0563	−	16.7514i	1.43821	−	1.04492i	0.449802	−	0.893128i	$-0.351495\pi$
$257$	23.0563	−	16.7514i	1.43821	−	1.04492i	0.988412	−	0.151795i	$-0.0485055\pi$
$258$	−0.182511	+	0.561712i	−0.0113627	+	0.0349707i
$259$	−1.46637	+	4.51301i	−0.0911155	+	0.280425i
$260$	−9.96838	+	7.24245i	−0.618213	+	0.449158i
$261$	−6.95415	−	5.05249i	−0.430451	−	0.312741i
$262$	−0.196959	−	0.606177i	−0.0121682	−	0.0374497i
$263$	−15.9889			−0.985917			−0.492959	−	0.870053i	$-0.664085\pi$
$263$	−15.9889			−0.985917			−0.492959	+	0.870053i	$0.664085\pi$
$264$	−1.40895	−	0.477010i	−0.0867151	−	0.0293579i
$265$	15.2183			0.934853
$266$	−0.123796	−	0.381006i	−0.00759044	−	0.0233610i
$267$	−2.35249	−	1.70918i	−0.143970	−	0.104600i
$268$	13.3299	−	9.68475i	0.814254	−	0.591590i
$269$	−4.30618	+	13.2531i	−0.262553	+	0.808054i	0.729695	+	0.683773i	$0.239662\pi$
$269$	−4.30618	+	13.2531i	−0.262553	+	0.808054i	−0.992247	+	0.124281i	$0.960338\pi$
$270$	−0.0368898	+	0.113535i	−0.00224504	+	0.00690952i
$271$	13.8275	−	10.0463i	0.839962	−	0.610268i	−0.0823982	−	0.996599i	$-0.526258\pi$
$271$	13.8275	−	10.0463i	0.839962	−	0.610268i	0.922360	+	0.386332i	$0.126258\pi$
$272$	−8.90638	−	6.47086i	−0.540028	−	0.392354i
$273$	1.80523	+	5.55591i	0.109257	+	0.336259i
$274$	−1.84472			−0.111444
$275$	−12.2664	+	3.81965i	−0.739690	+	0.230333i
$276$	−9.38451			−0.564881
$277$	−9.02144	−	27.7651i	−0.542046	−	1.66825i	−0.727912	−	0.685670i	$-0.759509\pi$
$277$	−9.02144	−	27.7651i	−0.542046	−	1.66825i	0.185867	−	0.982575i	$-0.440491\pi$
$278$	1.72717	+	1.25486i	0.103589	+	0.0752616i
$279$	−1.40897	+	1.02368i	−0.0843531	+	0.0612861i
$280$	−0.147092	+	0.452704i	−0.00879045	+	0.0270542i
$281$	4.45200	−	13.7019i	0.265584	−	0.817384i	−0.725974	−	0.687722i	$-0.758611\pi$
$281$	4.45200	−	13.7019i	0.265584	−	0.817384i	0.991558	−	0.129662i	$-0.0413893\pi$
$282$	−0.745419	+	0.541579i	−0.0443890	+	0.0322505i
$283$	−0.369963	−	0.268794i	−0.0219920	−	0.0159781i	0.576735	−	0.816931i	$-0.304327\pi$
$283$	−0.369963	−	0.268794i	−0.0219920	−	0.0159781i	−0.598727	+	0.800953i	$0.704327\pi$
$284$	−7.14659	−	21.9949i	−0.424072	−	1.30516i
$285$	−3.77998			−0.223907
$286$	0.0267713	−	2.17918i	0.00158302	−	0.128857i
$287$	−6.13922			−0.362386
$288$	−0.413590	−	1.27290i	−0.0243710	−	0.0750064i
$289$	7.38634	+	5.36649i	0.434490	+	0.315676i
$290$	0.830171	−	0.603155i	0.0487493	−	0.0354185i
$291$	−1.49964	+	4.61542i	−0.0879105	+	0.270561i
$292$	2.57962	−	7.93926i	0.150961	−	0.464610i
$293$	−18.9939	+	13.7999i	−1.10964	+	0.806198i	−0.982606	−	0.185701i	$-0.940544\pi$
$293$	−18.9939	+	13.7999i	−1.10964	+	0.806198i	−0.127030	+	0.991899i	$0.540544\pi$
$294$	0.0909991	+	0.0661147i	0.00530718	+	0.00385589i
$295$	1.28093	+	3.94230i	0.0745786	+	0.229529i
$296$	2.12825			0.123702
$297$	1.91636	+	2.70695i	0.111198	+	0.157073i
$298$	−1.20907			−0.0700396
$299$	−8.52450	−	26.2357i	−0.492985	−	1.51725i
$300$	−6.22799	−	4.52490i	−0.359573	−	0.261245i
$301$	4.24801	−	3.08636i	0.244851	−	0.177895i
$302$	−0.249618	+	0.768245i	−0.0143639	+	0.0442075i
$303$	−2.87342	+	8.84348i	−0.165074	+	0.508044i
$304$	11.3073	−	8.21525i	0.648519	−	0.471177i
$305$	12.6662	+	9.20257i	0.725267	+	0.526937i
$306$	−0.0975100	−	0.300105i	−0.00557427	−	0.0171558i
$307$	6.02778			0.344023			0.172012	−	0.985095i	$-0.444973\pi$
$307$	6.02778			0.344023			0.172012	+	0.985095i	$0.444973\pi$
$308$	3.80846	+	5.37965i	0.217007	+	0.306534i
$309$	12.9880			0.738859
$310$	−0.0642468	−	0.197731i	−0.00364897	−	0.0112304i
$311$	21.8897	+	15.9038i	1.24125	+	0.901820i	0.997681	−	0.0680636i	$-0.0216821\pi$
$311$	21.8897	+	15.9038i	1.24125	+	0.901820i	0.243568	+	0.969884i	$0.421682\pi$
$312$	2.11968	−	1.54004i	0.120003	−	0.0871875i
$313$	−0.955731	+	2.94144i	−0.0540211	+	0.166260i	−0.974427	−	0.224704i	$-0.927858\pi$
$313$	−0.955731	+	2.94144i	−0.0540211	+	0.166260i	0.920406	+	0.390964i	$0.127858\pi$
$314$	−0.0782044	+	0.240689i	−0.00441333	+	0.0135828i
$315$	0.858621	−	0.623825i	0.0483778	−	0.0351485i
$316$	10.9398	+	7.94823i	0.615411	+	0.447123i
$317$	−8.14326	−	25.0624i	−0.457371	−	1.40764i	−0.868329	−	0.495989i	$-0.834806\pi$
$317$	−8.14326	−	25.0624i	−0.457371	−	1.40764i	0.410958	−	0.911654i	$-0.365194\pi$
$318$	−1.61288			−0.0904458
$319$	0.350209	−	28.5069i	0.0196079	−	1.59608i
$320$	−8.16994			−0.456714
$321$	−0.572530	−	1.76207i	−0.0319555	−	0.0983489i
$322$	−0.429709	−	0.312202i	−0.0239468	−	0.0173983i
$323$	8.08333	−	5.87288i	0.449768	−	0.326776i
$324$	−0.614124	+	1.89008i	−0.0341180	+	0.105004i
$325$	6.99275	−	21.5215i	0.387888	−	1.19380i
$326$	−1.44725	+	1.05149i	−0.0801559	+	0.0582367i
$327$	3.76762	+	2.73734i	0.208350	+	0.151375i
$328$	0.850862	+	2.61868i	0.0469810	+	0.144593i
$329$	8.19149			0.451612
$330$	−0.378028	+	0.117715i	−0.0208097	+	0.00647998i
$331$	10.1728			0.559150			0.279575	−	0.960124i	$-0.409806\pi$
$331$	10.1728			0.559150			0.279575	+	0.960124i	$0.409806\pi$
$332$	−0.715522	−	2.20215i	−0.0392694	−	0.120859i
$333$	−3.83899	−	2.78919i	−0.210376	−	0.152847i
$334$	−0.635889	+	0.462001i	−0.0347943	+	0.0252796i
$335$	2.71908	−	8.36847i	0.148559	−	0.457218i
$336$	−1.21266	+	3.73218i	−0.0661560	+	0.203607i
$337$	0.391266	−	0.284271i	0.0213136	−	0.0154853i	−0.577077	−	0.816689i	$-0.695807\pi$
$337$	0.391266	−	0.284271i	0.0213136	−	0.0154853i	0.598391	+	0.801204i	$0.295807\pi$
$338$	1.92254	+	1.39681i	0.104572	+	0.0759763i
$339$	3.35216	+	10.3169i	0.182064	+	0.560336i
$340$	−5.91704			−0.320897
$341$	−5.47115	−	1.85229i	−0.296279	−	0.100307i
$342$	0.400613			0.0216627
$343$	−0.309017	−	0.951057i	−0.0166853	−	0.0513522i
$344$	−1.90524	−	1.38424i	−0.102724	−	0.0746330i
$345$	−4.05452	+	2.94578i	−0.218288	+	0.158595i
$346$	−0.724010	+	2.22827i	−0.0389230	+	0.119793i
$347$	0.676831	−	2.08307i	0.0363342	−	0.111825i	−0.931244	−	0.364395i	$-0.881276\pi$
$347$	0.676831	−	2.08307i	0.0363342	−	0.111825i	0.967579	+	0.252570i	$0.0812758\pi$
$348$	13.8203	−	10.0411i	0.740847	−	0.538257i
$349$	3.32611	+	2.41656i	0.178042	+	0.129355i	0.673237	−	0.739427i	$-0.264903\pi$
$349$	3.32611	+	2.41656i	0.178042	+	0.129355i	−0.495195	+	0.868782i	$0.664903\pi$
$350$	−0.134641	−	0.414383i	−0.00719688	−	0.0221497i
$351$	−5.84183			−0.311814
$352$	2.65309	−	3.55890i	0.141410	−	0.189690i
$353$	−36.0161			−1.91694			−0.958471	−	0.285191i	$-0.907943\pi$
$353$	−36.0161			−1.91694			−0.958471	+	0.285191i	$0.907943\pi$
$354$	−0.135757	−	0.417816i	−0.00721538	−	0.0222067i
$355$	−9.99181	−	7.25947i	−0.530310	−	0.385293i
$356$	4.67522	−	3.39674i	0.247786	−	0.180027i
$357$	−0.866901	+	2.66805i	−0.0458813	+	0.141208i
$358$	0.467974	−	1.44028i	0.0247332	−	0.0761209i
$359$	−22.9256	+	16.6564i	−1.20997	+	0.879093i	−0.995228	−	0.0975784i	$-0.968890\pi$
$359$	−22.9256	+	16.6564i	−1.20997	+	0.879093i	−0.214740	+	0.976671i	$0.568890\pi$
$360$	−0.385093	−	0.279786i	−0.0202962	−	0.0147460i
$361$	−1.95144	−	6.00590i	−0.102707	−	0.316100i
$362$	0.0116965			0.000614754
$363$	−3.65517	+	10.3750i	−0.191846	+	0.544544i
$364$	−11.6098			−0.608517
$365$	−1.37761	−	4.23984i	−0.0721073	−	0.221924i
$366$	−1.34241	−	0.975314i	−0.0701686	−	0.0509805i
$367$	−4.62428	+	3.35973i	−0.241385	+	0.175377i	−0.701900	−	0.712275i	$-0.747665\pi$
$367$	−4.62428	+	3.35973i	−0.241385	+	0.175377i	0.460515	+	0.887652i	$0.347665\pi$
$368$	5.72633	−	17.6238i	0.298506	−	0.918706i
$369$	1.89712	−	5.83874i	0.0987602	−	0.303953i
$370$	0.458291	−	0.332968i	0.0238254	−	0.0173102i
$371$	11.6006	+	8.42832i	0.602273	+	0.437577i
$372$	−1.06955	−	3.29174i	−0.0554537	−	0.170669i
$373$	−0.428982			−0.0222119			−0.0111059	−	0.999938i	$-0.503535\pi$
$373$	−0.428982			−0.0222119			−0.0111059	+	0.999938i	$0.503535\pi$
$374$	0.625505	−	0.839062i	0.0323441	−	0.0433869i
$375$	−9.41769			−0.486327
$376$	−1.13530	−	3.49408i	−0.0585484	−	0.180194i
$377$	40.6250	+	29.5158i	2.09229	+	1.52014i
$378$	−0.0909991	+	0.0661147i	−0.00468049	+	0.00340058i
$379$	1.91933	−	5.90710i	0.0985896	−	0.303427i	−0.889583	−	0.456774i	$-0.849005\pi$
$379$	1.91933	−	5.90710i	0.0985896	−	0.303427i	0.988173	+	0.153346i	$0.0490049\pi$
$380$	2.32138	−	7.14446i	0.119084	−	0.366503i
$381$	6.16548	−	4.47949i	0.315867	−	0.229491i
$382$	1.24963	+	0.907906i	0.0639364	+	0.0464525i
$383$	11.4270	+	35.1688i	0.583895	+	1.79704i	0.603664	+	0.797239i	$0.293707\pi$
$383$	11.4270	+	35.1688i	0.583895	+	1.79704i	−0.0197695	+	0.999805i	$0.506293\pi$
$384$	3.54269			0.180787
$385$	3.33409	+	1.12878i	0.169921	+	0.0575277i
$386$	1.41172			0.0718549
$387$	1.62260	+	4.99384i	0.0824812	+	0.253851i
$388$	−7.80255	−	5.66888i	−0.396114	−	0.287794i
$389$	11.6689	−	8.47792i	0.591635	−	0.429848i	−0.251265	−	0.967918i	$-0.580847\pi$
$389$	11.6689	−	8.47792i	0.591635	−	0.429848i	0.842900	+	0.538071i	$0.180847\pi$
$390$	0.215504	−	0.663253i	0.0109125	−	0.0335851i
$391$	4.09361	−	12.5988i	0.207023	−	0.637151i
$392$	−0.362845	+	0.263622i	−0.0183264	+	0.0133149i
$393$	−4.58428	−	3.33068i	−0.231246	−	0.168010i
$394$	−0.0731712	−	0.225198i	−0.00368631	−	0.0113453i
$395$	7.22140			0.363348
$396$	−6.29323	+	1.95966i	−0.316247	+	0.0984767i
$397$	−16.6802			−0.837156			−0.418578	−	0.908181i	$-0.637471\pi$
$397$	−16.6802			−0.837156			−0.418578	+	0.908181i	$0.637471\pi$
$398$	0.228453	+	0.703105i	0.0114513	+	0.0352435i
$399$	−2.88140	−	2.09346i	−0.144250	−	0.104804i
$400$	12.2979	−	8.93493i	0.614894	−	0.446747i
$401$	0.132661	−	0.408287i	0.00662475	−	0.0203889i	−0.947690	−	0.319194i	$-0.896588\pi$
$401$	0.132661	−	0.408287i	0.00662475	−	0.0203889i	0.954314	+	0.298805i	$0.0965879\pi$
$402$	−0.288176	+	0.886915i	−0.0143729	+	0.0442353i
$403$	8.23099	−	5.98017i	0.410015	−	0.297893i
$404$	−14.9502	−	10.8620i	−0.743802	−	0.540404i
$405$	0.327964	+	1.00937i	0.0162967	+	0.0501560i
$406$	0.966866			0.0479847
$407$	0.193330	−	15.7371i	0.00958304	−	0.780057i
$408$	1.25820			0.0622903
$409$	0.782082	+	2.40700i	0.0386715	+	0.119019i	0.968529	−	0.248902i	$-0.0800698\pi$
$409$	0.782082	+	2.40700i	0.0386715	+	0.119019i	−0.929857	+	0.367921i	$0.880070\pi$
$410$	0.592917	+	0.430779i	0.0292821	+	0.0212747i
$411$	−13.2681	+	9.63984i	−0.654467	+	0.475498i
$412$	−7.97622	+	24.5483i	−0.392960	+	1.20941i
$413$	−1.20693	+	3.71454i	−0.0593890	+	0.182781i
$414$	0.429709	−	0.312202i	0.0211191	−	0.0153439i
$415$	−1.00039	−	0.726824i	−0.0491071	−	0.0356784i
$416$	2.41613	+	7.43607i	0.118460	+	0.364583i
$417$	18.9801			0.929458
$418$	0.767717	+	1.08444i	0.0375503	+	0.0530417i
$419$	−19.2313			−0.939508			−0.469754	−	0.882797i	$-0.655657\pi$
$419$	−19.2313			−0.939508			−0.469754	+	0.882797i	$0.655657\pi$
$420$	0.651779	+	2.00597i	0.0318035	+	0.0978812i
$421$	13.6170	+	9.89336i	0.663654	+	0.482173i	0.867895	−	0.496748i	$-0.165473\pi$
$421$	13.6170	+	9.89336i	0.663654	+	0.482173i	−0.204241	+	0.978921i	$0.565473\pi$
$422$	0.636887	−	0.462726i	0.0310032	−	0.0225251i
$423$	−2.53131	+	7.79057i	−0.123077	+	0.378791i
$424$	1.98732	−	6.11635i	0.0965130	−	0.297036i
$425$	8.79146	−	6.38737i	0.426448	−	0.309833i
$426$	1.05896	+	0.769380i	0.0513068	+	0.0372766i
$427$	4.55857	+	14.0298i	0.220605	+	0.678952i
$428$	3.68205			0.177979
$429$	−11.1950	−	15.8136i	−0.540501	−	0.763486i
$430$	−0.626832			−0.0302285
$431$	−4.07833	−	12.5518i	−0.196446	−	0.604599i	−0.999957	−	0.00930867i	$-0.997037\pi$
$431$	−4.07833	−	12.5518i	−0.196446	−	0.604599i	0.803510	−	0.595291i	$-0.202963\pi$
$432$	−3.17478	−	2.30662i	−0.152747	−	0.110977i
$433$	−10.0633	+	7.31145i	−0.483614	+	0.351366i	−0.802723	−	0.596352i	$-0.796616\pi$
$433$	−10.0633	+	7.31145i	−0.483614	+	0.351366i	0.319109	+	0.947718i	$0.396616\pi$
$434$	0.0605351	−	0.186308i	0.00290578	−	0.00894307i
$435$	2.81911	−	8.67634i	0.135166	−	0.415999i
$436$	−7.48758	+	5.44005i	−0.358590	+	0.260531i
$437$	13.6063	+	9.88557i	0.650879	+	0.472891i
$438$	0.146003	+	0.449351i	0.00697629	+	0.0214708i
$439$	2.80796			0.134017			0.0670084	−	0.997752i	$-0.478655\pi$
$439$	2.80796			0.134017			0.0670084	+	0.997752i	$0.478655\pi$
$440$	0.0193931	−	1.57860i	0.000924532	−	0.0752566i
$441$	1.00000			0.0476190
$442$	0.569637	+	1.75316i	0.0270949	+	0.0833894i
$443$	−9.87203	−	7.17245i	−0.469034	−	0.340773i	0.328031	−	0.944667i	$-0.393615\pi$
$443$	−9.87203	−	7.17245i	−0.469034	−	0.340773i	−0.797065	+	0.603894i	$0.793615\pi$
$444$	7.62942	−	5.54310i	0.362076	−	0.263064i
$445$	0.953666	−	2.93508i	0.0452081	−	0.139136i
$446$	−0.645090	+	1.98538i	−0.0305459	+	0.0940106i
$447$	−8.69621	+	6.31817i	−0.411317	+	0.298839i
$448$	−6.22777	−	4.52474i	−0.294235	−	0.213774i
$449$	−1.40174	−	4.31411i	−0.0661522	−	0.203596i	0.912517	−	0.409040i	$-0.134136\pi$
$449$	−1.40174	−	4.31411i	−0.0661522	−	0.203596i	−0.978669	+	0.205444i	$0.934136\pi$
$450$	0.435708			0.0205395
$451$	19.4407	−	6.05369i	0.915429	−	0.285057i
$452$	−21.5584			−1.01402
$453$	2.21920	+	6.82999i	0.104267	+	0.320901i
$454$	0.825420	+	0.599702i	0.0387389	+	0.0281454i
$455$	−5.01592	+	3.64428i	−0.235150	+	0.170846i
$456$	−0.493619	+	1.51920i	−0.0231158	+	0.0711432i
$457$	11.1215	−	34.2286i	0.520243	−	1.60114i	−0.253291	−	0.967390i	$-0.581513\pi$
$457$	11.1215	−	34.2286i	0.520243	−	1.60114i	0.773534	−	0.633754i	$-0.218487\pi$
$458$	2.47097	−	1.79526i	0.115461	−	0.0838872i
$459$	−2.26958	−	1.64894i	−0.105935	−	0.0769661i
$460$	−3.07778	−	9.47244i	−0.143502	−	0.441655i
$461$	−3.38164			−0.157499			−0.0787493	−	0.996894i	$-0.525093\pi$
$461$	−3.38164			−0.157499			−0.0787493	+	0.996894i	$0.525093\pi$
$462$	−0.353356	−	0.119631i	−0.0164396	−	0.00556573i
$463$	0.189385			0.00880145			0.00440073	−	0.999990i	$-0.498599\pi$
$463$	0.189385			0.00880145			0.00440073	+	0.999990i	$0.498599\pi$
$464$	10.4238	+	32.0811i	0.483912	+	1.48933i
$465$	−1.49536	−	1.08645i	−0.0693458	−	0.0503827i
$466$	−0.142916	+	0.103834i	−0.00662043	+	0.00481003i
$467$	−3.03463	+	9.33964i	−0.140426	+	0.432187i	−0.996394	−	0.0848411i	$-0.972962\pi$
$467$	−3.03463	+	9.33964i	−0.140426	+	0.432187i	0.855968	+	0.517028i	$0.172962\pi$
$468$	3.58761	−	11.0415i	0.165837	−	0.510395i
$469$	6.70739	−	4.87320i	0.309718	−	0.225024i
$470$	−0.791123	−	0.574785i	−0.0364918	−	0.0265128i
$471$	0.695267	+	2.13981i	0.0320362	+	0.0985974i
$472$	1.75171			0.0806291
$473$	−10.4086	+	13.9623i	−0.478588	+	0.641985i
$474$	−0.765345			−0.0351535
$475$	4.26328	+	13.1210i	0.195613	+	0.602034i
$476$	−4.51044	−	3.27702i	−0.206736	−	0.150202i
$477$	−11.6006	+	8.42832i	−0.531155	+	0.385906i
$478$	0.531821	−	1.63678i	0.0243249	−	0.0748644i
$479$	−1.88754	+	5.80925i	−0.0862439	+	0.265431i	−0.984873	−	0.173278i	$-0.944564\pi$
$479$	−1.88754	+	5.80925i	−0.0862439	+	0.265431i	0.898629	+	0.438709i	$0.144564\pi$
$480$	1.14918	−	0.834931i	0.0524528	−	0.0381092i
$481$	22.4268	+	16.2940i	1.02257	+	0.742942i
$482$	−0.733633	−	2.25789i	−0.0334161	−	0.102844i
$483$	−4.72213			−0.214864
$484$	−17.3648	−	13.2801i	−0.789308	−	0.603640i
$485$	−5.15049			−0.233872
$486$	−0.0347586	−	0.106976i	−0.00157668	−	0.00485252i
$487$	−2.76180	−	2.00656i	−0.125149	−	0.0909261i	0.523450	−	0.852056i	$-0.324645\pi$
$487$	−2.76180	−	2.00656i	−0.125149	−	0.0909261i	−0.648599	+	0.761130i	$0.724645\pi$
$488$	5.35264	−	3.88892i	0.242302	−	0.176043i
$489$	−4.91462	+	15.1256i	−0.222247	+	0.684005i
$490$	−0.0368898	+	0.113535i	−0.00166651	+	0.00512899i
$491$	−25.8533	+	18.7835i	−1.16674	+	0.847688i	−0.990615	−	0.136679i	$-0.956357\pi$
$491$	−25.8533	+	18.7835i	−1.16674	+	0.847688i	−0.176127	+	0.984367i	$0.556357\pi$
$492$	9.87062	+	7.17143i	0.445002	+	0.323313i
$493$	7.45171	+	22.9340i	0.335608	+	1.03290i
$494$	−2.34032			−0.105296
$495$	−2.10382	+	2.82209i	−0.0945596	+	0.126844i
$496$	6.83442			0.306875
$497$	−3.59604	−	11.0675i	−0.161305	−	0.496444i
$498$	0.106024	+	0.0770309i	0.00475105	+	0.00345184i
$499$	−17.7283	+	12.8804i	−0.793628	+	0.576605i	−0.909038	−	0.416713i	$-0.863182\pi$
$499$	−17.7283	+	12.8804i	−0.793628	+	0.576605i	0.115410	+	0.993318i	$0.463182\pi$
$500$	5.78363	−	17.8002i	0.258652	−	0.796049i
$501$	−2.15937	+	6.64585i	−0.0964735	+	0.296915i
$502$	0.245837	−	0.178611i	0.0109723	−	0.00797182i
$503$	26.6740	+	19.3798i	1.18933	+	0.864102i	0.993194	−	0.116474i	$-0.0371593\pi$
$503$	26.6740	+	19.3798i	1.18933	+	0.864102i	0.196140	+	0.980576i	$0.437159\pi$
$504$	−0.138595	−	0.426550i	−0.00617349	−	0.0190001i
$505$	−9.86871			−0.439152
$506$	1.66859	+	0.564912i	0.0741779	+	0.0251134i
$507$	21.1270			0.938284
$508$	4.68021	+	14.4042i	0.207651	+	0.639084i
$509$	−21.6292	−	15.7145i	−0.958695	−	0.696533i	−0.00584797	−	0.999983i	$-0.501861\pi$
$509$	−21.6292	−	15.7145i	−0.958695	−	0.696533i	−0.952847	+	0.303450i	$0.901861\pi$
$510$	0.270937	−	0.196847i	0.0119973	−	0.00871654i
$511$	1.29802	−	3.99490i	0.0574211	−	0.176724i
$512$	−2.71079	+	8.34295i	−0.119801	+	0.368710i
$513$	2.88140	−	2.09346i	0.127217	−	0.0924284i
$514$	−2.59340	−	1.88422i	−0.114390	−	0.0831092i
$515$	4.25959	+	13.1097i	0.187700	+	0.577680i
$516$	−10.4352			−0.459385
$517$	−25.9396	+	8.07737i	−1.14082	+	0.355242i
$518$	0.533752			0.0234517
$519$	6.43673	+	19.8102i	0.282541	+	0.869572i
$520$	2.24965	+	1.63446i	0.0986536	+	0.0716760i
$521$	−9.22376	+	6.70146i	−0.404100	+	0.293596i	−0.771209	−	0.636582i	$-0.780348\pi$
$521$	−9.22376	+	6.70146i	−0.404100	+	0.293596i	0.367109	+	0.930178i	$0.380348\pi$
$522$	−0.298778	+	0.919544i	−0.0130772	+	0.0402473i
$523$	−4.65690	+	14.3325i	−0.203632	+	0.626714i	0.796135	+	0.605119i	$0.206875\pi$
$523$	−4.65690	+	14.3325i	−0.203632	+	0.626714i	−0.999767	+	0.0215953i	$0.993125\pi$
$524$	9.11056	−	6.61921i	0.397997	−	0.289162i
$525$	−3.13382	−	2.27685i	−0.136771	−	0.0993700i
$526$	0.555751	+	1.71043i	0.0242319	+	0.0745781i
$527$	4.88576			0.212827
$528$	0.159881	−	13.0143i	0.00695793	−	0.566374i
$529$	−0.701531			−0.0305014
$530$	−0.528967	−	1.62799i	−0.0229768	−	0.0707154i
$531$	−3.15978	−	2.29571i	−0.137123	−	0.0996255i
$532$	5.72634	−	4.16043i	0.248268	−	0.180377i
$533$	−11.0827	+	34.1090i	−0.480044	+	1.47742i
$534$	−0.101072	+	0.311068i	−0.00437382	+	0.0134612i
$535$	1.59081	−	1.15579i	0.0687766	−	0.0499691i
$536$	−3.00827	−	2.18564i	−0.129938	−	0.0944052i
$537$	−4.16047	−	12.8046i	−0.179537	−	0.552559i
$538$	1.56744			0.0675769
$539$	1.91636	+	2.70695i	0.0825433	+	0.116597i
$540$	−2.10920			−0.0907655
$541$	8.31162	+	25.5806i	0.357345	+	1.09979i	0.954637	+	0.297771i	$0.0962430\pi$
$541$	8.31162	+	25.5806i	0.357345	+	1.09979i	−0.597293	+	0.802023i	$0.703757\pi$
$542$	−1.55533	−	1.13002i	−0.0668073	−	0.0485384i
$543$	0.0841266	−	0.0611216i	0.00361022	−	0.00262298i
$544$	−1.16027	+	3.57093i	−0.0497460	+	0.153102i
$545$	−1.52734	+	4.70067i	−0.0654241	+	0.201355i
$546$	0.531602	−	0.386231i	0.0227505	−	0.0165292i
$547$	8.15244	+	5.92310i	0.348573	+	0.253253i	0.748270	−	0.663394i	$-0.230885\pi$
$547$	8.15244	+	5.92310i	0.348573	+	0.253253i	−0.399697	+	0.916647i	$0.630885\pi$
$548$	−10.0718	−	30.9978i	−0.430246	−	1.32416i
$549$	−14.7518			−0.629594
$550$	0.834972	+	1.17944i	0.0356033	+	0.0502915i
$551$	−30.6148			−1.30424
$552$	0.654461	+	2.01422i	0.0278557	+	0.0857310i
$553$	5.50472	+	3.99941i	0.234084	+	0.170072i
$554$	−2.65663	+	1.93015i	−0.112869	+	0.0820043i
$555$	1.55627	−	4.78972i	0.0660601	−	0.203312i
$556$	−11.6561	+	35.8739i	−0.494330	+	1.52139i
$557$	24.9616	−	18.1357i	1.05766	−	0.768434i	0.0840049	−	0.996465i	$-0.473229\pi$
$557$	24.9616	−	18.1357i	1.05766	−	0.768434i	0.973654	+	0.228031i	$0.0732289\pi$
$558$	0.158483	+	0.115145i	0.00670912	+	0.00487446i
$559$	−9.47893	−	29.1732i	−0.400916	−	1.23389i
$560$	−4.16486			−0.175997
$561$	0.114295	−	9.30359i	0.00482554	−	0.392798i
$562$	−1.62051			−0.0683572
$563$	−4.33425	−	13.3394i	−0.182667	−	0.562190i	0.817234	−	0.576306i	$-0.195507\pi$
$563$	−4.33425	−	13.3394i	−0.182667	−	0.562190i	−0.999900	+	0.0141162i	$0.995507\pi$
$564$	−13.1703	−	9.56876i	−0.554568	−	0.402918i
$565$	−9.31416	+	6.76713i	−0.391850	+	0.284695i
$566$	−0.0158951	+	0.0489200i	−0.000668119	+	0.00205626i
$567$	−0.309017	+	0.951057i	−0.0129775	+	0.0399406i
$568$	−4.22244	+	3.06778i	−0.177170	+	0.128721i
$569$	23.1013	+	16.7840i	0.968455	+	0.703624i	0.955099	−	0.296287i	$-0.0957485\pi$
$569$	23.1013	+	16.7840i	0.968455	+	0.703624i	0.0133561	+	0.999911i	$0.495749\pi$
$570$	0.131387	+	0.404367i	0.00550318	+	0.0169371i
$571$	18.0629			0.755907			0.377953	−	0.925825i	$-0.376628\pi$
$571$	18.0629			0.755907			0.377953	+	0.925825i	$0.376628\pi$
$572$	36.7640	−	11.4480i	1.53718	−	0.478665i
$573$	13.7323			0.573675
$574$	0.213390	+	0.656748i	0.00890674	+	0.0274121i
$575$	14.7983	+	10.7516i	0.617131	+	0.448372i
$576$	6.22777	−	4.52474i	0.259491	−	0.188531i
$577$	−11.0565	+	34.0285i	−0.460290	+	1.41663i	0.404522	+	0.914528i	$0.367438\pi$
$577$	−11.0565	+	34.0285i	−0.460290	+	1.41663i	−0.864811	+	0.502097i	$0.832562\pi$
$578$	0.317346	−	0.976691i	0.0131999	−	0.0406250i
$579$	10.1538	−	7.37716i	0.421977	−	0.306584i
$580$	14.6677	+	10.6567i	0.609043	+	0.442496i
$581$	−0.360039	−	1.10809i	−0.0149369	−	0.0459711i
$582$	0.545864			0.0226268
$583$	−45.0459	−	15.2506i	−1.86561	−	0.631614i
$584$	−1.88392			−0.0779573
$585$	−1.91591	−	5.89657i	−0.0792132	−	0.243793i
$586$	2.13646	+	1.55223i	0.0882562	+	0.0641219i
$587$	13.6286	−	9.90172i	0.562511	−	0.408688i	−0.269866	−	0.962898i	$-0.586980\pi$
$587$	13.6286	−	9.90172i	0.562511	−	0.408688i	0.832377	+	0.554210i	$0.186980\pi$
$588$	−0.614124	+	1.89008i	−0.0253261	+	0.0779456i
$589$	−1.91678	+	5.89926i	−0.0789797	+	0.243075i
$590$	0.377207	−	0.274057i	0.0155294	−	0.0112828i
$591$	−1.70308	−	1.23736i	−0.0700555	−	0.0508983i
$592$	5.75438	+	17.7102i	0.236504	+	0.727883i
$593$	36.1560			1.48475			0.742375	−	0.669985i	$-0.233699\pi$
$593$	36.1560			1.48475			0.742375	+	0.669985i	$0.233699\pi$
$594$	0.222969	−	0.299094i	0.00914852	−	0.0122720i
$595$	−2.97736			−0.122060
$596$	−6.60129	−	20.3167i	−0.270399	−	0.832203i
$597$	5.31731	+	3.86325i	0.217623	+	0.158112i
$598$	−2.51029	+	1.82383i	−0.102653	+	0.0745821i
$599$	−10.6883	+	32.8952i	−0.436712	+	1.34406i	0.454611	+	0.890690i	$0.349778\pi$
$599$	−10.6883	+	32.8952i	−0.436712	+	1.34406i	−0.891323	+	0.453370i	$0.850222\pi$
$600$	−0.536862	+	1.65229i	−0.0219173	+	0.0674545i
$601$	31.4432	−	22.8448i	1.28260	−	0.931861i	0.282968	−	0.959129i	$-0.408681\pi$
$601$	31.4432	−	22.8448i	1.28260	−	0.931861i	0.999628	+	0.0272687i	$0.00868096\pi$
$602$	−0.477821	−	0.347157i	−0.0194745	−	0.0141491i
$603$	2.56199	+	7.88501i	0.104332	+	0.321102i
$604$	−14.2721			−0.580723
$605$	−11.6709	−	0.286799i	−0.474491	−	0.0116600i
$606$	1.04591			0.0424874
$607$	−6.58414	−	20.2639i	−0.267242	−	0.822486i	−0.991168	−	0.132609i	$-0.957665\pi$
$607$	−6.58414	−	20.2639i	−0.267242	−	0.822486i	0.723927	−	0.689877i	$-0.242335\pi$
$608$	−3.85648	−	2.80190i	−0.156401	−	0.113632i
$609$	6.95415	−	5.05249i	0.281796	−	0.204737i
$610$	0.544192	−	1.67485i	0.0220337	−	0.0678127i
$611$	14.7875	−	45.5112i	0.598238	−	1.84119i
$612$	4.51044	−	3.27702i	0.182324	−	0.132466i
$613$	0.369130	+	0.268189i	0.0149090	+	0.0108320i	0.595215	−	0.803567i	$-0.297067\pi$
$613$	0.369130	+	0.268189i	0.0149090	+	0.0108320i	−0.580306	+	0.814399i	$0.697067\pi$
$614$	−0.209517	−	0.644827i	−0.00845542	−	0.0260231i
$615$	6.51564			0.262736
$616$	0.889054	−	1.19259i	0.0358210	−	0.0480508i
$617$	−18.2733			−0.735656			−0.367828	−	0.929894i	$-0.619899\pi$
$617$	−18.2733			−0.735656			−0.367828	+	0.929894i	$0.619899\pi$
$618$	−0.451443	−	1.38940i	−0.0181597	−	0.0558898i
$619$	−25.1148	−	18.2470i	−1.00945	−	0.733408i	−0.0453565	−	0.998971i	$-0.514442\pi$
$619$	−25.1148	−	18.2470i	−1.00945	−	0.733408i	−0.964094	+	0.265562i	$0.914442\pi$
$620$	2.97181	−	2.15915i	0.119351	−	0.0867134i
$621$	1.45922	−	4.49101i	0.0585564	−	0.180218i
$622$	0.940467	−	2.89446i	0.0377093	−	0.116057i
$623$	2.35249	−	1.70918i	0.0942505	−	0.0684770i
$624$	18.5466	+	13.4749i	0.742456	+	0.539426i
$625$	2.89640	+	8.91419i	0.115856	+	0.356568i
$626$	0.347883			0.0139042
$627$	11.1887	+	3.78799i	0.446832	+	0.151278i
$628$	−4.47140			−0.178428
$629$	4.11367	+	12.6606i	0.164023	+	0.504810i
$630$	−0.0965786	−	0.0701685i	−0.00384779	−	0.00279558i
$631$	24.1469	−	17.5437i	0.961271	−	0.698404i	0.00782551	−	0.999969i	$-0.497509\pi$
$631$	24.1469	−	17.5437i	0.961271	−	0.698404i	0.953446	+	0.301565i	$0.0975090\pi$
$632$	0.943026	−	2.90234i	0.0375116	−	0.115449i
$633$	2.16276	−	6.65628i	0.0859619	−	0.264564i
$634$	−2.39802	+	1.74227i	−0.0952376	+	0.0691942i
$635$	6.54351	+	4.75414i	0.259671	+	0.188662i
$636$	−8.80600	−	27.1021i	−0.349181	−	1.07467i
$637$	−5.84183			−0.231462
$638$	−3.06172	+	0.953396i	−0.121215	+	0.0377453i
$639$	11.6370			0.460354
$640$	1.16187	+	3.57588i	0.0459271	+	0.141349i
$641$	2.95134	+	2.14427i	0.116571	+	0.0846936i	0.644543	−	0.764568i	$-0.277048\pi$
$641$	2.95134	+	2.14427i	0.116571	+	0.0846936i	−0.527972	+	0.849261i	$0.677048\pi$
$642$	−0.168598	+	0.122494i	−0.00665404	+	0.00483444i
$643$	10.6896	−	32.8993i	0.421558	−	1.29742i	−0.484694	−	0.874684i	$-0.661069\pi$
$643$	10.6896	−	32.8993i	0.421558	−	1.29742i	0.906252	−	0.422739i	$-0.138931\pi$
$644$	2.89997	−	8.92520i	0.114275	−	0.351702i
$645$	−4.50847	+	3.27560i	−0.177521	+	0.128977i
$646$	−0.909222	−	0.660588i	−0.0357728	−	0.0259905i
$647$	4.44719	+	13.6870i	0.174837	+	0.538093i	0.999626	−	0.0273479i	$-0.00870618\pi$
$647$	4.44719	+	13.6870i	0.174837	+	0.538093i	−0.824789	+	0.565441i	$0.808706\pi$
$648$	0.448501			0.0176188
$649$	0.159125	−	12.9528i	0.00624622	−	0.508441i
$650$	−2.54534			−0.0998363
$651$	−0.538180	−	1.65635i	−0.0210929	−	0.0649174i
$652$	−25.5705	−	18.5780i	−1.00142	−	0.727572i
$653$	18.9588	−	13.7744i	0.741914	−	0.539032i	−0.151396	−	0.988473i	$-0.548377\pi$
$653$	18.9588	−	13.7744i	0.741914	−	0.539032i	0.893310	+	0.449441i	$0.148377\pi$
$654$	0.161872	−	0.498191i	0.00632970	−	0.0194808i
$655$	1.85840	−	5.71958i	0.0726138	−	0.223482i
$656$	−19.4907	+	14.1608i	−0.760983	+	0.552887i
$657$	3.39827	+	2.46898i	0.132579	+	0.0963243i
$658$	−0.284725	−	0.876292i	−0.0110997	−	0.0341614i
$659$	38.6951			1.50735			0.753674	−	0.657248i	$-0.228280\pi$
$659$	38.6951			1.50735			0.753674	+	0.657248i	$0.228280\pi$
$660$	−4.04198	−	5.70950i	−0.157334	−	0.222242i
$661$	−30.3882			−1.18196			−0.590982	−	0.806684i	$-0.701260\pi$
$661$	−30.3882			−1.18196			−0.590982	+	0.806684i	$0.701260\pi$
$662$	−0.353593	−	1.08825i	−0.0137428	−	0.0422960i
$663$	13.2585	+	9.63285i	0.514917	+	0.374109i
$664$	−0.422754	+	0.307149i	−0.0164061	+	0.0119197i
$665$	1.16808	−	3.59497i	0.0452961	−	0.139407i
$666$	−0.164938	+	0.507628i	−0.00639123	+	0.0196702i
$667$	−32.8384	+	23.8585i	−1.27151	+	0.923804i
$668$	−11.2351	−	8.16276i	−0.434698	−	0.315827i
$669$	5.73509	+	17.6508i	0.221732	+	0.682419i
$670$	−0.989736			−0.0382368
$671$	−28.2698	−	39.9325i	−1.09134	−	1.54158i
$672$	1.33841			0.0516301
$673$	5.62137	+	17.3008i	0.216688	+	0.666897i	0.999029	+	0.0440473i	$0.0140252\pi$
$673$	5.62137	+	17.3008i	0.216688	+	0.666897i	−0.782341	+	0.622850i	$0.785975\pi$
$674$	−0.0440100	−	0.0319752i	−0.00169520	−	0.00123164i
$675$	3.13382	−	2.27685i	0.120621	−	0.0876361i
$676$	−12.9746	+	39.9318i	−0.499024	+	1.53584i
$677$	−1.80414	+	5.55257i	−0.0693387	+	0.213403i	−0.979721	−	0.200365i	$-0.935787\pi$
$677$	−1.80414	+	5.55257i	−0.0693387	+	0.213403i	0.910383	+	0.413767i	$0.135787\pi$
$678$	0.987141	−	0.717200i	0.0379109	−	0.0275439i
$679$	−3.92611	−	2.85249i	−0.150670	−	0.109468i
$680$	0.412645	+	1.26999i	0.0158242	+	0.0487020i
$681$	9.07063			0.347587
$682$	−0.00798115	+	0.649664i	−0.000305614	+	0.0248769i
$683$	3.17118			0.121342			0.0606710	−	0.998158i	$-0.480676\pi$
$683$	3.17118			0.121342			0.0606710	+	0.998158i	$0.480676\pi$
$684$	2.18727	+	6.73172i	0.0836323	+	0.257394i
$685$	−14.0816	−	10.2309i	−0.538031	−	0.390902i
$686$	−0.0909991	+	0.0661147i	−0.00347436	+	0.00252427i
$687$	8.39098	−	25.8248i	0.320136	−	0.985276i
$688$	6.36747	−	19.5971i	0.242757	−	0.747131i
$689$	67.7687	−	49.2369i	2.58178	−	1.87577i
$690$	0.456056	+	0.331344i	0.0173618	+	0.0126141i
$691$	−7.38839	−	22.7391i	−0.281068	−	0.865037i	−0.987550	−	0.157307i	$-0.949719\pi$
$691$	−7.38839	−	22.7391i	−0.281068	−	0.865037i	0.706482	−	0.707731i	$-0.250281\pi$
$692$	−41.3958			−1.57363
$693$	−3.16665	+	0.986068i	−0.120291	+	0.0374576i
$694$	−0.246364			−0.00935186
$695$	6.22478	+	19.1579i	0.236119	+	0.726701i
$696$	−3.11895	−	2.26605i	−0.118223	−	0.0858943i
$697$	−13.9334	+	10.1232i	−0.527766	+	0.383444i
$698$	0.142903	−	0.439809i	0.00540895	−	0.0166470i
$699$	−0.485316	+	1.49365i	−0.0183563	+	0.0564950i
$700$	6.22799	−	4.52490i	0.235396	−	0.171025i
$701$	−33.4259	−	24.2853i	−1.26248	−	0.917244i	−0.263601	−	0.964632i	$-0.584910\pi$
$701$	−33.4259	−	24.2853i	−1.26248	−	0.917244i	−0.998877	+	0.0473877i	$0.984910\pi$
$702$	0.203054	+	0.624935i	0.00766377	+	0.0235867i
$703$	−16.9007			−0.637423
$704$	24.1829	+	8.18726i	0.911427	+	0.308569i
$705$	−8.69375			−0.327425
$706$	1.25187	+	3.85285i	0.0471146	+	0.145004i
$707$	−7.52271	−	5.46557i	−0.282921	−	0.205554i
$708$	6.27958	−	4.56238i	0.236001	−	0.171465i
$709$	−15.2876	+	47.0504i	−0.574138	+	1.76701i	0.0649583	+	0.997888i	$0.479309\pi$
$709$	−15.2876	+	47.0504i	−0.574138	+	1.76701i	−0.639096	+	0.769127i	$0.720691\pi$
$710$	−0.429288	+	1.32121i	−0.0161109	+	0.0495842i
$711$	−5.50472	+	3.99941i	−0.206443	+	0.149990i
$712$	−1.05509	−	0.766571i	−0.0395413	−	0.0287285i
$713$	2.54135	+	7.82149i	0.0951745	+	0.292917i
$714$	0.315549			0.0118091
$715$	12.2902	−	16.4862i	0.459626	−	0.616549i
$716$	26.7568			0.999948
$717$	−4.72809	−	14.5516i	−0.176574	−	0.543438i
$718$	2.57870	+	1.87353i	0.0962362	+	0.0699197i
$719$	15.1247	−	10.9887i	0.564054	−	0.409809i	−0.268886	−	0.963172i	$-0.586656\pi$
$719$	15.1247	−	10.9887i	0.564054	−	0.409809i	0.832941	+	0.553363i	$0.186656\pi$
$720$	1.28701	−	3.96102i	0.0479641	−	0.147618i
$721$	−4.01350	+	12.3523i	−0.149471	+	0.460023i
$722$	−0.574658	+	0.417513i	−0.0213865	+	0.0155382i
$723$	−17.0756	−	12.4061i	−0.635047	−	0.461388i
$724$	0.0638605	+	0.196542i	0.00237336	+	0.00730444i
$725$	−33.2968			−1.23661
$726$	1.23692	+	0.0303958i	0.0459064	+	0.00112809i
$727$	−26.9216			−0.998468			−0.499234	−	0.866467i	$-0.666385\pi$
$727$	−26.9216			−0.998468			−0.499234	+	0.866467i	$0.666385\pi$
$728$	0.809646	+	2.49183i	0.0300075	+	0.0923535i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	−0.405677	+	0.294742i	−0.0150148	+	0.0109089i
$731$	4.55195	−	14.0095i	0.168360	−	0.518158i
$732$	9.05947	−	27.8822i	0.334848	−	1.03055i
$733$	24.7096	−	17.9526i	0.912670	−	0.663093i	−0.0290189	−	0.999579i	$-0.509238\pi$
$733$	24.7096	−	17.9526i	0.912670	−	0.663093i	0.941689	+	0.336485i	$0.109238\pi$
$734$	0.520144	+	0.377907i	0.0191989	+	0.0139488i
$735$	0.327964	+	1.00937i	0.0120971	+	0.0372312i
$736$	−6.32012			−0.232963
$737$	−16.4346	+	22.0457i	−0.605378	+	0.812063i
$738$	−0.690546			−0.0254193
$739$	−3.94380	−	12.1378i	−0.145075	−	0.446495i	0.851946	−	0.523630i	$-0.175423\pi$
$739$	−3.94380	−	12.1378i	−0.145075	−	0.446495i	−0.997021	+	0.0771355i	$0.975423\pi$
$740$	8.09721	+	5.88297i	0.297659	+	0.216262i
$741$	−16.8326	+	12.2296i	−0.618363	+	0.449267i
$742$	0.498407	−	1.53394i	0.0182971	−	0.0563127i
$743$	9.59982	−	29.5452i	0.352183	−	1.08391i	−0.605442	−	0.795890i	$-0.707004\pi$
$743$	9.59982	−	29.5452i	0.352183	−	1.08391i	0.957625	−	0.288019i	$-0.0929965\pi$
$744$	−0.631927	+	0.459122i	−0.0231676	+	0.0168322i
$745$	−9.22941	−	6.70556i	−0.338139	−	0.245673i
$746$	0.0149108	+	0.0458908i	0.000545924	+	0.00168018i
$747$	1.16511			0.0426291
$748$	17.5143	+	5.92959i	0.640388	+	0.216807i
$749$	1.85275			0.0676978
$750$	0.327345	+	1.00747i	0.0119530	+	0.0367874i
$751$	10.2243	+	7.42838i	0.373089	+	0.271065i	0.758491	−	0.651684i	$-0.225937\pi$
$751$	10.2243	+	7.42838i	0.373089	+	0.271065i	−0.385401	+	0.922749i	$0.625937\pi$
$752$	26.0062	−	18.8946i	0.948349	−	0.689016i
$753$	0.834821	−	2.56931i	0.0304226	−	0.0936310i
$754$	1.74541	−	5.37182i	0.0635641	−	0.195630i
$755$	−6.16617	+	4.47998i	−0.224410	+	0.163043i
$756$	−1.60780	−	1.16813i	−0.0584751	−	0.0424846i
$757$	−4.22911	−	13.0159i	−0.153710	−	0.473070i	0.844318	−	0.535842i	$-0.180006\pi$
$757$	−4.22911	−	13.0159i	−0.153710	−	0.473070i	−0.998028	+	0.0627723i	$0.980006\pi$
$758$	−0.698631			−0.0253754
$759$	14.9533	−	4.65634i	0.542771	−	0.169014i
$760$	−1.69533			−0.0614959
$761$	7.46102	+	22.9627i	0.270462	+	0.832396i	0.990385	+	0.138342i	$0.0441773\pi$
$761$	7.46102	+	22.9627i	0.270462	+	0.832396i	−0.719923	+	0.694054i	$0.755823\pi$
$762$	−0.693500	−	0.503858i	−0.0251229	−	0.0182528i
$763$	−3.76762	+	2.73734i	−0.136397	+	0.0990983i
$764$	−8.43333	+	25.9551i	−0.305107	+	0.939023i
$765$	0.920054	−	2.83163i	0.0332646	−	0.102378i
$766$	3.36503	−	2.44484i	0.121583	−	0.0883355i
$767$	18.4589	+	13.4112i	0.666512	+	0.484249i
$768$	4.63446	+	14.2634i	0.167232	+	0.514686i
$769$	3.51499			0.126754			0.0633770	−	0.997990i	$-0.479813\pi$
$769$	3.51499			0.126754			0.0633770	+	0.997990i	$0.479813\pi$
$770$	0.00486367	−	0.395901i	0.000175274	−	0.0142673i
$771$	−28.4992			−1.02637
$772$	7.70773	+	23.7220i	0.277407	+	0.853772i
$773$	−6.53442	−	4.74754i	−0.235027	−	0.170757i	0.464038	−	0.885815i	$-0.346400\pi$
$773$	−6.53442	−	4.74754i	−0.235027	−	0.170757i	−0.699065	+	0.715058i	$0.746400\pi$
$774$	0.477821	−	0.347157i	0.0171749	−	0.0124783i
$775$	−2.08470	+	6.41605i	−0.0748847	+	0.230471i
$776$	−0.672591	+	2.07002i	−0.0241446	+	0.0743095i
$777$	3.83899	−	2.78919i	0.137723	−	0.100062i
$778$	−1.31253	−	0.953606i	−0.0470563	−	0.0341884i
$779$	−6.75680	−	20.7953i	−0.242087	−	0.745068i
$780$	12.3216			0.441184
$781$	22.3007	+	31.5009i	0.797982	+	1.12719i
$782$	−1.49006			−0.0532845
$783$	2.65625	+	8.17510i	0.0949266	+	0.292154i
$784$	−3.17478	−	2.30662i	−0.113385	−	0.0823791i
$785$	−1.93184	+	1.40356i	−0.0689503	+	0.0500953i
$786$	−0.196959	+	0.606177i	−0.00702529	+	0.0216216i
$787$	−1.64642	+	5.06715i	−0.0586884	+	0.180624i	−0.976103	−	0.217308i	$-0.930272\pi$
$787$	−1.64642	+	5.06715i	−0.0586884	+	0.180624i	0.917415	+	0.397933i	$0.130272\pi$
$788$	3.38462	−	2.45907i	0.120572	−	0.0876007i
$789$	12.9353	+	9.39803i	0.460508	+	0.334579i
$790$	−0.251006	−	0.772516i	−0.00893038	−	0.0274849i
$791$	−10.8478			−0.385704
$792$	0.859488	+	1.21407i	0.0305406	+	0.0431401i
$793$	86.1778			3.06026
$794$	0.579781	+	1.78438i	0.0205756	+	0.0633253i
$795$	−12.3119	−	8.94510i	−0.436657	−	0.317250i
$796$	−10.5673	+	7.67763i	−0.374550	+	0.272126i
$797$	13.6937	−	42.1449i	0.485056	−	1.49285i	−0.346843	−	0.937923i	$-0.612746\pi$
$797$	13.6937	−	42.1449i	0.485056	−	1.49285i	0.831899	−	0.554927i	$-0.187254\pi$
$798$	−0.123796	+	0.381006i	−0.00438234	+	0.0134875i
$799$	18.5912	−	13.5073i	0.657710	−	0.477854i
$800$	−4.19432	−	3.04735i	−0.148292	−	0.107740i
$801$	0.898571	+	2.76552i	0.0317494	+	0.0977148i
$802$	−0.0482880			−0.00170511
$803$	−0.171136	+	13.9304i	−0.00603924	+	0.491593i
$804$	−16.4767			−0.581088
$805$	−1.54869	−	4.76637i	−0.0545841	−	0.167992i
$806$	−0.925831	−	0.672656i	−0.0326110	−	0.0236933i
$807$	11.2737	−	8.19085i	0.396854	−	0.288331i
$808$	−1.28873	+	3.96631i	−0.0453375	+	0.139534i
$809$	3.35280	−	10.3189i	0.117878	−	0.362792i	−0.874658	−	0.484740i	$-0.838914\pi$
$809$	3.35280	−	10.3189i	0.117878	−	0.362792i	0.992536	+	0.121948i	$0.0389142\pi$
$810$	0.0965786	−	0.0701685i	0.00339343	−	0.00246547i
$811$	−29.1960	−	21.2122i	−1.02521	−	0.744860i	−0.0578666	−	0.998324i	$-0.518430\pi$
$811$	−29.1960	−	21.2122i	−1.02521	−	0.744860i	−0.967345	+	0.253465i	$0.918430\pi$
$812$	5.27889	+	16.2468i	0.185253	+	0.570150i
$813$	−17.0917			−0.599434
$814$	−1.69020	+	0.526316i	−0.0592417	+	0.0184474i
$815$	−16.8792			−0.591252
$816$	3.40193	+	10.4701i	0.119091	+	0.366526i
$817$	15.1297	+	10.9924i	0.529322	+	0.384575i
$818$	0.230307	−	0.167328i	0.00805250	−	0.00585048i
$819$	1.80523	−	5.55591i	0.0630797	−	0.194139i
$820$	−4.00141	+	12.3151i	−0.139735	+	0.430061i
$821$	−42.1827	+	30.6475i	−1.47219	+	1.06961i	−0.492213	+	0.870475i	$0.663812\pi$
$821$	−42.1827	+	30.6475i	−1.47219	+	1.06961i	−0.979973	+	0.199131i	$0.936188\pi$
$822$	1.49241	+	1.08430i	0.0520538	+	0.0378193i
$823$	8.06910	+	24.8341i	0.281271	+	0.865664i	0.987492	+	0.157672i	$0.0503987\pi$
$823$	8.06910	+	24.8341i	0.281271	+	0.865664i	−0.706220	+	0.707992i	$0.749601\pi$
$824$	5.82512			0.202928
$825$	12.1688	+	4.11983i	0.423665	+	0.143434i
$826$	0.439317			0.0152858
$827$	2.37625	+	7.31334i	0.0826303	+	0.254310i	0.983833	−	0.179088i	$-0.0573146\pi$
$827$	2.37625	+	7.31334i	0.0826303	+	0.254310i	−0.901203	+	0.433398i	$0.857315\pi$
$828$	7.59223	+	5.51607i	0.263848	+	0.191697i
$829$	20.4749	−	14.8759i	0.711123	−	0.516661i	−0.172413	−	0.985025i	$-0.555156\pi$
$829$	20.4749	−	14.8759i	0.711123	−	0.516661i	0.883536	+	0.468363i	$0.155156\pi$
$830$	−0.0429806	+	0.132281i	−0.00149188	+	0.00459153i
$831$	−9.02144	+	27.7651i	−0.312950	+	0.963162i
$832$	−36.3816	+	26.4328i	−1.26131	+	0.916392i
$833$	−2.26958	−	1.64894i	−0.0786361	−	0.0571325i
$834$	−0.659720	−	2.03041i	−0.0228442	−	0.0703073i
$835$	−7.41632			−0.256652
$836$	−14.0308	+	18.8212i	−0.485267	+	0.650944i
$837$	1.74159			0.0601981
$838$	0.668451	+	2.05728i	0.0230913	+	0.0710676i
$839$	5.74999	+	4.17761i	0.198512	+	0.144227i	0.682601	−	0.730792i	$-0.260849\pi$
$839$	5.74999	+	4.17761i	0.198512	+	0.144227i	−0.484089	+	0.875019i	$0.660849\pi$
$840$	0.385093	−	0.279786i	0.0132870	−	0.00965354i
$841$	13.8711	−	42.6909i	0.478314	−	1.47210i
$842$	0.585042	−	1.80057i	0.0201619	−	0.0620519i
$843$	−11.6555	+	8.46821i	−0.401437	+	0.291661i
$844$	11.2527	+	8.17557i	0.387334	+	0.281415i
$845$	6.92890	+	21.3250i	0.238362	+	0.733601i
$846$	0.921388			0.0316780
$847$	−8.73766	−	6.68231i	−0.300230	−	0.229607i
$848$	56.2703			1.93233
$849$	0.141313	+	0.434917i	0.00484985	+	0.0149263i
$850$	−0.988873	−	0.718458i	−0.0339181	−	0.0246429i
$851$	−18.1282	+	13.1709i	−0.621427	+	0.451493i
$852$	−7.14659	+	21.9949i	−0.244838	+	0.753534i
$853$	9.23754	−	28.4302i	0.316287	−	0.973433i	−0.658934	−	0.752201i	$-0.728992\pi$
$853$	9.23754	−	28.4302i	0.316287	−	0.973433i	0.975221	−	0.221232i	$-0.0710077\pi$
$854$	1.34241	−	0.975314i	0.0459362	−	0.0333746i
$855$	3.05807	+	2.22182i	0.104584	+	0.0759845i
$856$	−0.256780	−	0.790289i	−0.00877657	−	0.0270115i
$857$	−31.9946			−1.09291			−0.546457	−	0.837487i	$-0.684024\pi$
$857$	−31.9946			−1.09291			−0.546457	+	0.837487i	$0.684024\pi$
$858$	−1.30255	+	1.74725i	−0.0444682	+	0.0596503i
$859$	−18.8113			−0.641835			−0.320917	−	0.947107i	$-0.603991\pi$
$859$	−18.8113			−0.641835			−0.320917	+	0.947107i	$0.603991\pi$
$860$	−3.42238	−	10.5330i	−0.116702	−	0.359172i
$861$	4.96673	+	3.60854i	0.169266	+	0.122979i
$862$	−1.20098	+	0.872566i	−0.0409057	+	0.0297197i
$863$	5.92277	−	18.2284i	0.201613	−	0.620502i	−0.798222	−	0.602363i	$-0.794226\pi$
$863$	5.92277	−	18.2284i	0.201613	−	0.620502i	0.999835	−	0.0181390i	$-0.00577413\pi$
$864$	−0.413590	+	1.27290i	−0.0140706	+	0.0433049i
$865$	−17.8848	+	12.9941i	−0.608102	+	0.441812i
$866$	1.13194	+	0.822400i	0.0384648	+	0.0279463i
$867$	−2.82133	−	8.68316i	−0.0958174	−	0.294896i
$868$	3.46114			0.117479
$869$	−21.3752	−	7.23671i	−0.725104	−	0.245489i
$870$	−1.02615			−0.0347897
$871$	−14.9667	−	46.0629i	−0.507129	−	1.56078i
$872$	1.68978	+	1.22770i	0.0572233	+	0.0415752i
$873$	3.92611	−	2.85249i	0.132879	−	0.0965420i
$874$	0.584581	−	1.79916i	0.0197738	−	0.0608574i
$875$	2.91023	−	8.95675i	0.0983836	−	0.302794i
$876$	−6.75354	+	4.90673i	−0.228181	+	0.165783i
$877$	16.5271	+	12.0076i	0.558080	+	0.405469i	0.830756	−	0.556637i	$-0.187909\pi$
$877$	16.5271	+	12.0076i	0.558080	+	0.405469i	−0.272676	+	0.962106i	$0.587909\pi$
$878$	−0.0976007	−	0.300384i	−0.00329387	−	0.0101375i
$879$	23.4778			0.791885
$880$	13.1886	−	4.10684i	0.444589	−	0.138441i
$881$	29.2279			0.984712			0.492356	−	0.870394i	$-0.336136\pi$
$881$	29.2279			0.984712			0.492356	+	0.870394i	$0.336136\pi$
$882$	−0.0347586	−	0.106976i	−0.00117038	−	0.00360207i
$883$	23.9310	+	17.3869i	0.805341	+	0.585114i	0.912476	−	0.409130i	$-0.134168\pi$
$883$	23.9310	+	17.3869i	0.805341	+	0.585114i	−0.107135	+	0.994244i	$0.534168\pi$
$884$	−26.3492	+	19.1438i	−0.886220	+	0.643877i
$885$	1.28093	−	3.94230i	0.0430580	−	0.132519i
$886$	−0.424141	+	1.30537i	−0.0142493	+	0.0438549i
$887$	−45.4495	+	33.0210i	−1.52605	+	1.10874i	−0.567659	+	0.823264i	$0.692151\pi$
$887$	−45.4495	+	33.0210i	−1.52605	+	1.10874i	−0.958387	+	0.285474i	$0.907849\pi$
$888$	−1.72179	−	1.25096i	−0.0577796	−	0.0419794i
$889$	2.35501	+	7.24796i	0.0789843	+	0.243089i
$890$	−0.347131			−0.0116359
$891$	0.0407418	−	3.31637i	0.00136490	−	0.111103i
$892$	−36.8835			−1.23495
$893$	9.01553	+	27.7469i	0.301693	+	0.928516i
$894$	0.978159	+	0.710674i	0.0327145	+	0.0237685i
$895$	11.5601	−	8.39890i	0.386411	−	0.280744i
$896$	−1.09475	+	3.36930i	−0.0365730	+	0.112560i
$897$	−8.52450	+	26.2357i	−0.284625	+	0.875985i
$898$	−0.412784	+	0.299905i	−0.0137748	+	0.0100080i
$899$	−12.1113	−	8.79935i	−0.403933	−	0.293475i
$900$	2.37888	+	7.32144i	0.0792960	+	0.244048i
$901$	40.2262			1.34013
$902$	−1.32333	−	1.86927i	−0.0440621	−	0.0622400i
$903$	−5.25083			−0.174737
$904$	1.50345	+	4.62713i	0.0500039	+	0.153896i
$905$	0.0892848	+	0.0648692i	0.00296793	+	0.00215632i
$906$	0.653508	−	0.474802i	0.0217114	−	0.0157742i
$907$	−11.5408	+	35.5188i	−0.383205	+	1.17938i	0.554570	+	0.832137i	$0.312883\pi$
$907$	−11.5408	+	35.5188i	−0.383205	+	1.17938i	−0.937774	+	0.347245i	$0.887117\pi$
$908$	−5.57050	+	17.1442i	−0.184863	+	0.568951i
$909$	7.52271	−	5.46557i	0.249513	−	0.181281i
$910$	0.564196	+	0.409913i	0.0187029	+	0.0135885i
$911$	−5.38787	−	16.5821i	−0.178508	−	0.549391i	0.821268	−	0.570542i	$-0.193267\pi$
$911$	−5.38787	−	16.5821i	−0.178508	−	0.549391i	−0.999776	+	0.0211512i	$0.993267\pi$
$912$	−13.9766			−0.462812
$913$	2.23276	+	3.15389i	0.0738937	+	0.104379i
$914$	−4.04820			−0.133903
$915$	−4.83808	−	14.8901i	−0.159942	−	0.492250i
$916$	43.6578	+	31.7192i	1.44249	+	1.04803i
$917$	4.58428	−	3.33068i	0.151386	−	0.109989i
$918$	−0.0975100	+	0.300105i	−0.00321831	+	0.00990493i
$919$	−15.7358	+	48.4300i	−0.519078	+	1.59756i	0.256660	+	0.966502i	$0.417378\pi$
$919$	−15.7358	+	48.4300i	−0.519078	+	1.59756i	−0.775738	+	0.631055i	$0.782622\pi$
$920$	−1.81846	+	1.32119i	−0.0599527	+	0.0435582i
$921$	−4.87657	−	3.54304i	−0.160689	−	0.116747i
$922$	0.117541	+	0.361754i	0.00387101	+	0.0119137i
$923$	−67.9816			−2.23764
$924$	0.0809682	−	6.59079i	0.00266366	−	0.216821i
$925$	−18.3813			−0.604373
$926$	−0.00658274	−	0.0202596i	−0.000216322	−	0.000665772i
$927$	−10.5075	−	7.63413i	−0.345111	−	0.250738i
$928$	9.30748	−	6.76228i	0.305533	−	0.221983i
$929$	−17.6775	+	54.4058i	−0.579981	+	1.78500i	0.0385747	+	0.999256i	$0.487718\pi$
$929$	−17.6775	+	54.4058i	−0.579981	+	1.78500i	−0.618555	+	0.785741i	$0.712282\pi$
$930$	−0.0642468	+	0.197731i	−0.00210673	+	0.00648386i
$931$	2.88140	−	2.09346i	0.0944340	−	0.0686103i
$932$	−2.52507	−	1.83457i	−0.0827115	−	0.0600934i
$933$	−8.36111	−	25.7328i	−0.273730	−	0.842455i
$934$	1.10460			0.0361435
$935$	9.42825	−	2.93588i	0.308337	−	0.0960135i
$936$	−2.62007			−0.0856397
$937$	−8.37866	−	25.7869i	−0.273719	−	0.842420i	−0.989555	−	0.144153i	$-0.953954\pi$
$937$	−8.37866	−	25.7869i	−0.273719	−	0.842420i	0.715836	−	0.698268i	$-0.246046\pi$
$938$	−0.754455	−	0.548143i	−0.0246338	−	0.0178975i
$939$	2.50214	−	1.81791i	0.0816541	−	0.0593252i
$940$	5.33904	−	16.4319i	0.174140	−	0.535949i
$941$	−1.51841	+	4.67319i	−0.0494988	+	0.152342i	−0.972751	−	0.231854i	$-0.925521\pi$
$941$	−1.51841	+	4.67319i	−0.0494988	+	0.152342i	0.923252	+	0.384195i	$0.125521\pi$
$942$	0.204742	−	0.148754i	0.00667085	−	0.00484666i
$943$	−23.4535	−	17.0400i	−0.763752	−	0.554898i
$944$	4.73628	+	14.5768i	0.154153	+	0.474434i
$945$	−1.06131			−0.0345245
$946$	1.85541	+	0.628161i	0.0603247	+	0.0204233i
$947$	26.1937			0.851181			0.425591	−	0.904916i	$-0.360066\pi$
$947$	26.1937			0.851181			0.425591	+	0.904916i	$0.360066\pi$
$948$	−4.17863	−	12.8605i	−0.135716	−	0.417690i
$949$	−19.8521	−	14.4234i	−0.644427	−	0.468203i
$950$	1.25545	−	0.912137i	0.0407321	−	0.0295936i
$951$	−8.14326	+	25.0624i	−0.264063	+	0.812703i
$952$	−0.388806	+	1.19662i	−0.0126013	+	0.0387827i
$953$	8.10448	−	5.88825i	0.262530	−	0.190739i	−0.448732	−	0.893666i	$-0.648124\pi$
$953$	8.10448	−	5.88825i	0.262530	−	0.190739i	0.711262	+	0.702927i	$0.248124\pi$
$954$	1.30485	+	0.948027i	0.0422460	+	0.0306935i
$955$	4.50370	+	13.8610i	0.145736	+	0.448530i
$956$	30.4073			0.983441
$957$	−17.0393	+	22.8567i	−0.550801	+	0.738853i
$958$	0.687058			0.0221978
$959$	−5.06796	−	15.5976i	−0.163653	−	0.503672i
$960$	6.60962	+	4.80217i	0.213325	+	0.154989i
$961$	22.6257	−	16.4385i	0.729860	−	0.530275i
$962$	0.963543	−	2.96548i	0.0310659	−	0.0956109i
$963$	−0.572530	+	1.76207i	−0.0184495	+	0.0567818i
$964$	33.9351	−	24.6553i	1.09297	−	0.794093i
$965$	10.7764	+	7.82948i	0.346903	+	0.252040i
$966$	0.164134	+	0.505154i	0.00528094	+	0.0162530i
$967$	−6.98983			−0.224778			−0.112389	−	0.993664i	$-0.535850\pi$
$967$	−6.98983			−0.224778			−0.112389	+	0.993664i	$0.535850\pi$
$968$	−1.63935	+	4.65318i	−0.0526906	+	0.149559i
$969$	−9.99154			−0.320975
$970$	0.179024	+	0.550979i	0.00574811	+	0.0176909i
$971$	−47.0261	−	34.1664i	−1.50914	−	1.09645i	−0.966558	−	0.256450i	$-0.917447\pi$
$971$	−47.0261	−	34.1664i	−1.50914	−	1.09645i	−0.542581	−	0.840004i	$-0.682553\pi$
$972$	1.60780	−	1.16813i	0.0515702	−	0.0374679i
$973$	−5.86516	+	18.0511i	−0.188029	+	0.578692i
$974$	−0.118658	+	0.365191i	−0.00380204	+	0.0117015i
$975$	−18.3072	+	13.3010i	−0.586301	+	0.425973i
$976$	46.8339	+	34.0268i	1.49912	+	1.08917i
$977$	−1.16823	−	3.59544i	−0.0373749	−	0.115028i	0.930628	−	0.365966i	$-0.119261\pi$
$977$	−1.16823	−	3.59544i	−0.0373749	−	0.115028i	−0.968003	+	0.250937i	$0.919261\pi$
$978$	1.78890			0.0572028
$979$	−5.76414	+	7.73210i	−0.184223	+	0.247119i
$980$	−2.10920			−0.0673759
$981$	−1.43910	−	4.42911i	−0.0459471	−	0.141411i
$982$	2.90801	+	2.11279i	0.0927982	+	0.0674219i
$983$	−8.30961	+	6.03729i	−0.265035	+	0.192560i	−0.712364	−	0.701810i	$-0.752375\pi$
$983$	−8.30961	+	6.03729i	−0.265035	+	0.192560i	0.447329	+	0.894370i	$0.352375\pi$
$984$	0.850862	−	2.61868i	0.0271245	−	0.0834806i
$985$	0.690406	−	2.12485i	0.0219982	−	0.0677034i
$986$	2.19437	−	1.59431i	0.0698831	−	0.0507731i
$987$	−6.62706	−	4.81484i	−0.210942	−	0.153258i
$988$	−12.7777	−	39.3256i	−0.406511	−	1.25111i
$989$	24.7951			0.788438
$990$	0.375022	+	0.126966i	0.0119190	+	0.00403524i
$991$	−20.5225			−0.651919			−0.325960	−	0.945384i	$-0.605687\pi$
$991$	−20.5225			−0.651919			−0.325960	+	0.945384i	$0.605687\pi$
$992$	−0.720304	−	2.21687i	−0.0228697	−	0.0703856i
$993$	−8.23000	−	5.97944i	−0.261171	−	0.189752i
$994$	−1.05896	+	0.769380i	−0.0335882	+	0.0244032i
$995$	−2.15556	+	6.63414i	−0.0683359	+	0.210316i
$996$	−0.715522	+	2.20215i	−0.0226722	+	0.0697778i
$997$	−5.96248	+	4.33200i	−0.188834	+	0.137196i	−0.678185	−	0.734891i	$-0.737233\pi$
$997$	−5.96248	+	4.33200i	−0.188834	+	0.137196i	0.489352	+	0.872086i	$0.337233\pi$
$998$	1.99410	+	1.44880i	0.0631222	+	0.0458609i
$999$	1.46637	+	4.51301i	0.0463937	+	0.142785i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	231.2.j.g.148.3	yes	20
3.2	odd	2		693.2.m.j.379.3		20
11.3	even	5		2541.2.a.bq.1.5		10
11.8	odd	10		2541.2.a.br.1.6		10
11.9	even	5	inner	231.2.j.g.64.3	✓	20
33.8	even	10		7623.2.a.cy.1.5		10
33.14	odd	10		7623.2.a.cx.1.6		10
33.20	odd	10		693.2.m.j.64.3		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
231.2.j.g.64.3	✓	20	11.9	even	5	inner
231.2.j.g.148.3	yes	20	1.1	even	1	trivial
693.2.m.j.64.3		20	33.20	odd	10
693.2.m.j.379.3		20	3.2	odd	2
2541.2.a.bq.1.5		10	11.3	even	5
2541.2.a.br.1.6		10	11.8	odd	10
7623.2.a.cx.1.6		10	33.14	odd	10
7623.2.a.cy.1.5		10	33.8	even	10

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:	\( N \)	\(=\)	\( 231 = 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	231.j (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0347586 - 0.106976i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(1.60780 - 1.16813i) q^{4} +(0.327964 - 1.00937i) q^{5} +(-0.0347586 + 0.106976i) q^{6} +(0.809017 - 0.587785i) q^{7} +(-0.362845 - 0.263622i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(-0.0347586 - 0.106976i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(1.60780 - 1.16813i) q^{4} +(0.327964 - 1.00937i) q^{5} +(-0.0347586 + 0.106976i) q^{6} +(0.809017 - 0.587785i) q^{7} +(-0.362845 - 0.263622i) q^{8} +(0.309017 + 0.951057i) q^{9} -0.119378 q^{10} +(-1.98228 + 2.65906i) q^{11} -1.98735 q^{12} +(-1.80523 - 5.55591i) q^{13} +(-0.0909991 - 0.0661147i) q^{14} +(-0.858621 + 0.623825i) q^{15} +(1.21266 - 3.73218i) q^{16} +(0.866901 - 2.66805i) q^{17} +(0.0909991 - 0.0661147i) q^{18} +(2.88140 + 2.09346i) q^{19} +(-0.651779 - 2.00597i) q^{20} -1.00000 q^{21} +(0.353356 + 0.119631i) q^{22} +4.72213 q^{23} +(0.138595 + 0.426550i) q^{24} +(3.13382 + 2.27685i) q^{25} +(-0.531602 + 0.386231i) q^{26} +(0.309017 - 0.951057i) q^{27} +(0.614124 - 1.89008i) q^{28} +(-6.95415 + 5.05249i) q^{29} +(0.0965786 + 0.0701685i) q^{30} +(0.538180 + 1.65635i) q^{31} -1.33841 q^{32} +(3.16665 - 0.986068i) q^{33} -0.315549 q^{34} +(-0.327964 - 1.00937i) q^{35} +(1.60780 + 1.16813i) q^{36} +(-3.83899 + 2.78919i) q^{37} +(0.123796 - 0.381006i) q^{38} +(-1.80523 + 5.55591i) q^{39} +(-0.385093 + 0.279786i) q^{40} +(-4.96673 - 3.60854i) q^{41} +(0.0347586 + 0.106976i) q^{42} +5.25083 q^{43} +(-0.0809682 + 6.59079i) q^{44} +1.06131 q^{45} +(-0.164134 - 0.505154i) q^{46} +(6.62706 + 4.81484i) q^{47} +(-3.17478 + 2.30662i) q^{48} +(0.309017 - 0.951057i) q^{49} +(0.134641 - 0.414383i) q^{50} +(-2.26958 + 1.64894i) q^{51} +(-9.39249 - 6.82404i) q^{52} +(4.43103 + 13.6373i) q^{53} -0.112481 q^{54} +(2.03385 + 2.87292i) q^{55} -0.448501 q^{56} +(-1.10060 - 3.38729i) q^{57} +(0.782211 + 0.568309i) q^{58} +(-3.15978 + 2.29571i) q^{59} +(-0.651779 + 2.00597i) q^{60} +(-4.55857 + 14.0298i) q^{61} +(0.158483 - 0.115145i) q^{62} +(0.809017 + 0.587785i) q^{63} +(-2.37880 - 7.32119i) q^{64} -6.20002 q^{65} +(-0.215554 - 0.304481i) q^{66} +8.29079 q^{67} +(-1.72283 - 5.30234i) q^{68} +(-3.82028 - 2.77560i) q^{69} +(-0.0965786 + 0.0701685i) q^{70} +(3.59604 - 11.0675i) q^{71} +(0.138595 - 0.426550i) q^{72} +(3.39827 - 2.46898i) q^{73} +(0.431814 + 0.313731i) q^{74} +(-1.19701 - 3.68402i) q^{75} +7.07815 q^{76} +(-0.0407418 + 3.31637i) q^{77} +0.657096 q^{78} +(2.10262 + 6.47119i) q^{79} +(-3.36944 - 2.44804i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.213390 + 0.656748i) q^{82} +(0.360039 - 1.10809i) q^{83} +(-1.60780 + 1.16813i) q^{84} +(-2.40873 - 1.75005i) q^{85} +(-0.182511 - 0.561712i) q^{86} +8.59581 q^{87} +(1.42025 - 0.442253i) q^{88} +2.90784 q^{89} +(-0.0368898 - 0.113535i) q^{90} +(-4.72614 - 3.43374i) q^{91} +(7.59223 - 5.51607i) q^{92} +(0.538180 - 1.65635i) q^{93} +(0.284725 - 0.876292i) q^{94} +(3.05807 - 2.22182i) q^{95} +(1.08279 + 0.786696i) q^{96} +(-1.49964 - 4.61542i) q^{97} -0.112481 q^{98} +(-3.14147 - 1.06356i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 5 q^{3} - 14 q^{4} - 5 q^{5} + 5 q^{7} - 9 q^{8} - 5 q^{9}+O(q^{10}) \) 20 * q - 5 * q^3 - 14 * q^4 - 5 * q^5 + 5 * q^7 - 9 * q^8 - 5 * q^9	\( 20 q - 5 q^{3} - 14 q^{4} - 5 q^{5} + 5 q^{7} - 9 q^{8} - 5 q^{9} + 12 q^{10} - q^{11} + 36 q^{12} + 13 q^{13} - 24 q^{16} - q^{17} + 10 q^{19} - 46 q^{20} - 20 q^{21} + 26 q^{22} + 6 q^{24} - 8 q^{25} - 53 q^{26} - 5 q^{27} + 4 q^{28} + 3 q^{29} - 3 q^{30} - 13 q^{31} + 82 q^{32} + 9 q^{33} + 42 q^{34} + 5 q^{35} - 14 q^{36} - 32 q^{37} + 16 q^{38} + 13 q^{39} + 20 q^{40} - 3 q^{41} + 12 q^{43} + 25 q^{44} + 10 q^{45} - 13 q^{46} + 20 q^{47} - 14 q^{48} - 5 q^{49} - 83 q^{50} + 9 q^{51} - 80 q^{52} + 3 q^{53} - 28 q^{55} - 6 q^{56} - 10 q^{57} + 2 q^{58} - 9 q^{59} - 46 q^{60} - 15 q^{61} - 37 q^{62} + 5 q^{63} - 49 q^{64} + 58 q^{65} - 4 q^{66} + 76 q^{67} + 51 q^{68} + 3 q^{70} + 37 q^{71} + 6 q^{72} + 27 q^{73} - 32 q^{74} - 23 q^{75} + 4 q^{76} + 6 q^{77} + 2 q^{78} + 5 q^{79} + 137 q^{80} - 5 q^{81} - 55 q^{82} - 42 q^{83} + 14 q^{84} - 48 q^{85} + 3 q^{86} + 28 q^{87} + 151 q^{88} - 18 q^{89} - 3 q^{90} + 7 q^{91} + 39 q^{92} - 13 q^{93} - 35 q^{94} - 96 q^{95} - 48 q^{96} - 27 q^{97} - q^{99}+O(q^{100}) \) 20 * q - 5 * q^3 - 14 * q^4 - 5 * q^5 + 5 * q^7 - 9 * q^8 - 5 * q^9 + 12 * q^10 - q^11 + 36 * q^12 + 13 * q^13 - 24 * q^16 - q^17 + 10 * q^19 - 46 * q^20 - 20 * q^21 + 26 * q^22 + 6 * q^24 - 8 * q^25 - 53 * q^26 - 5 * q^27 + 4 * q^28 + 3 * q^29 - 3 * q^30 - 13 * q^31 + 82 * q^32 + 9 * q^33 + 42 * q^34 + 5 * q^35 - 14 * q^36 - 32 * q^37 + 16 * q^38 + 13 * q^39 + 20 * q^40 - 3 * q^41 + 12 * q^43 + 25 * q^44 + 10 * q^45 - 13 * q^46 + 20 * q^47 - 14 * q^48 - 5 * q^49 - 83 * q^50 + 9 * q^51 - 80 * q^52 + 3 * q^53 - 28 * q^55 - 6 * q^56 - 10 * q^57 + 2 * q^58 - 9 * q^59 - 46 * q^60 - 15 * q^61 - 37 * q^62 + 5 * q^63 - 49 * q^64 + 58 * q^65 - 4 * q^66 + 76 * q^67 + 51 * q^68 + 3 * q^70 + 37 * q^71 + 6 * q^72 + 27 * q^73 - 32 * q^74 - 23 * q^75 + 4 * q^76 + 6 * q^77 + 2 * q^78 + 5 * q^79 + 137 * q^80 - 5 * q^81 - 55 * q^82 - 42 * q^83 + 14 * q^84 - 48 * q^85 + 3 * q^86 + 28 * q^87 + 151 * q^88 - 18 * q^89 - 3 * q^90 + 7 * q^91 + 39 * q^92 - 13 * q^93 - 35 * q^94 - 96 * q^95 - 48 * q^96 - 27 * q^97 - q^99

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