LMFDB - Embedded newform 370.2.o.c.231.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, degree $6$, 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:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			231.4
Character	$\chi$	$=$	370.231
Dual form			370.2.o.c.181.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 - 0.984808i) q^{2} +(0.550788 - 3.12367i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} -3.17186 q^{6} +(0.712016 + 0.597452i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-6.63488 - 2.41490i) q^{9} +O(q^{10})$	\(q+(-0.173648 - 0.984808i) q^{2} +(0.550788 - 3.12367i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} -3.17186 q^{6} +(0.712016 + 0.597452i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-6.63488 - 2.41490i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-2.93699 - 5.08701i) q^{11} +(0.550788 + 3.12367i) q^{12} +(-3.32105 + 1.20876i) q^{13} +(0.464735 - 0.804945i) q^{14} +(2.42979 - 2.03883i) q^{15} +(0.766044 - 0.642788i) q^{16} +(1.16511 + 0.424065i) q^{17} +(-1.22608 + 6.95343i) q^{18} +(0.326695 - 1.85278i) q^{19} +(-0.939693 - 0.342020i) q^{20} +(2.25842 - 1.89504i) q^{21} +(-4.49972 + 3.77572i) q^{22} +(3.02405 - 5.23781i) q^{23} +(2.98057 - 1.08484i) q^{24} +(0.173648 + 0.984808i) q^{25} +(1.76709 + 3.06069i) q^{26} +(-6.43997 + 11.1544i) q^{27} +(-0.873417 - 0.317898i) q^{28} +(3.01842 + 5.22806i) q^{29} +(-2.42979 - 2.03883i) q^{30} +5.74234 q^{31} +(-0.766044 - 0.642788i) q^{32} +(-17.5078 + 6.37232i) q^{33} +(0.215304 - 1.22105i) q^{34} +(0.161401 + 0.915350i) q^{35} +7.06069 q^{36} +(5.90454 + 1.46163i) q^{37} -1.88136 q^{38} +(1.94659 + 11.0396i) q^{39} +(-0.173648 + 0.984808i) q^{40} +(3.88595 - 1.41437i) q^{41} +(-2.25842 - 1.89504i) q^{42} -2.60386 q^{43} +(4.49972 + 3.77572i) q^{44} +(-3.53035 - 6.11474i) q^{45} +(-5.68336 - 2.06857i) q^{46} +(-1.21194 + 2.09915i) q^{47} +(-1.58593 - 2.74691i) q^{48} +(-1.06552 - 6.04286i) q^{49} +(0.939693 - 0.342020i) q^{50} +(1.96637 - 3.40585i) q^{51} +(2.70734 - 2.27173i) q^{52} +(4.31185 - 3.61807i) q^{53} +(12.1032 + 4.40520i) q^{54} +(1.02000 - 5.78473i) q^{55} +(-0.161401 + 0.915350i) q^{56} +(-5.60753 - 2.04097i) q^{57} +(4.62449 - 3.88041i) q^{58} +(9.34237 - 7.83918i) q^{59} +(-1.58593 + 2.74691i) q^{60} +(0.0319717 - 0.0116368i) q^{61} +(-0.997147 - 5.65510i) q^{62} +(-3.28135 - 5.68347i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-3.32105 - 1.20876i) q^{65} +(9.31571 + 16.1353i) q^{66} +(10.2021 + 8.56054i) q^{67} -1.23988 q^{68} +(-14.6956 - 12.3311i) q^{69} +(0.873417 - 0.317898i) q^{70} +(-0.799134 + 4.53211i) q^{71} +(-1.22608 - 6.95343i) q^{72} -15.4440 q^{73} +(0.414110 - 6.06865i) q^{74} +3.17186 q^{75} +(0.326695 + 1.85278i) q^{76} +(0.948065 - 5.37674i) q^{77} +(10.5339 - 3.83403i) q^{78} +(-6.22482 - 5.22325i) q^{79} +1.00000 q^{80} +(15.0691 + 12.6445i) q^{81} +(-2.06767 - 3.58131i) q^{82} +(-5.44916 - 1.98333i) q^{83} +(-1.47408 + 2.55317i) q^{84} +(0.619942 + 1.07377i) q^{85} +(0.452156 + 2.56431i) q^{86} +(17.9933 - 6.54901i) q^{87} +(2.93699 - 5.08701i) q^{88} +(7.69964 - 6.46076i) q^{89} +(-5.40880 + 4.53853i) q^{90} +(-3.08682 - 1.12351i) q^{91} +(-1.05024 + 5.95622i) q^{92} +(3.16281 - 17.9372i) q^{93} +(2.27771 + 0.829018i) q^{94} +(1.44121 - 1.20931i) q^{95} +(-2.42979 + 2.03883i) q^{96} +(-5.43733 + 9.41773i) q^{97} +(-5.76603 + 2.09866i) q^{98} +(7.20194 + 40.8442i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$1$

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 $

$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$3$	0.550788	−	3.12367i	0.317997	−	1.80345i	−0.236900	−	0.971534i	$-0.576131\pi$
$3$	0.550788	−	3.12367i	0.317997	−	1.80345i	0.554897	−	0.831919i	$-0.312758\pi$
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$6$	−3.17186			−1.29491
$7$	0.712016	+	0.597452i	0.269117	+	0.225816i	0.767352	−	0.641226i	$-0.221574\pi$
$7$	0.712016	+	0.597452i	0.269117	+	0.225816i	−0.498235	+	0.867042i	$0.666018\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	−6.63488	−	2.41490i	−2.21163	−	0.804966i
$10$	0.500000	−	0.866025i	0.158114	−	0.273861i
$11$	−2.93699	−	5.08701i	−0.885535	−	1.53379i	−0.845100	−	0.534609i	$-0.820459\pi$
$11$	−2.93699	−	5.08701i	−0.885535	−	1.53379i	−0.0404351	−	0.999182i	$-0.512874\pi$
$12$	0.550788	+	3.12367i	0.158999	+	0.901726i
$13$	−3.32105	+	1.20876i	−0.921093	+	0.335250i	−0.758673	−	0.651471i	$-0.774152\pi$
$13$	−3.32105	+	1.20876i	−0.921093	+	0.335250i	−0.162420	+	0.986722i	$0.551930\pi$
$14$	0.464735	−	0.804945i	0.124206	−	0.215131i
$15$	2.42979	−	2.03883i	0.627368	−	0.526424i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	1.16511	+	0.424065i	0.282581	+	0.102851i	0.479422	−	0.877584i	$-0.340846\pi$
$17$	1.16511	+	0.424065i	0.282581	+	0.102851i	−0.196842	+	0.980435i	$0.563068\pi$
$18$	−1.22608	+	6.95343i	−0.288989	+	1.63894i
$19$	0.326695	−	1.85278i	0.0749489	−	0.425056i	−0.924127	−	0.382085i	$-0.875206\pi$
$19$	0.326695	−	1.85278i	0.0749489	−	0.425056i	0.999076	−	0.0429719i	$-0.0136826\pi$
$20$	−0.939693	−	0.342020i	−0.210122	−	0.0764780i
$21$	2.25842	−	1.89504i	0.492827	−	0.413531i
$22$	−4.49972	+	3.77572i	−0.959344	+	0.804986i
$23$	3.02405	−	5.23781i	0.630559	−	1.09216i	−0.356879	−	0.934151i	$-0.616159\pi$
$23$	3.02405	−	5.23781i	0.630559	−	1.09216i	0.987438	−	0.158009i	$-0.0505075\pi$
$24$	2.98057	−	1.08484i	0.608407	−	0.221442i
$25$	0.173648	+	0.984808i	0.0347296	+	0.196962i
$26$	1.76709	+	3.06069i	0.346555	+	0.600252i
$27$	−6.43997	+	11.1544i	−1.23937	+	2.14666i
$28$	−0.873417	−	0.317898i	−0.165060	−	0.0600770i
$29$	3.01842	+	5.22806i	0.560507	+	0.970826i	0.997452	+	0.0713382i	$0.0227270\pi$
$29$	3.01842	+	5.22806i	0.560507	+	0.970826i	−0.436945	+	0.899488i	$0.643940\pi$
$30$	−2.42979	−	2.03883i	−0.443616	−	0.372238i
$31$	5.74234			1.03136			0.515678	−	0.856783i	$-0.327540\pi$
$31$	5.74234			1.03136			0.515678	+	0.856783i	$0.327540\pi$
$32$	−0.766044	−	0.642788i	−0.135419	−	0.113630i
$33$	−17.5078	+	6.37232i	−3.04772	+	1.10928i
$34$	0.215304	−	1.22105i	0.0369243	−	0.209408i
$35$	0.161401	+	0.915350i	0.0272817	+	0.154722i
$36$	7.06069			1.17678
$37$	5.90454	+	1.46163i	0.970701	+	0.240290i
$37$	5.90454	+	1.46163i	0.970701	+	0.240290i
$38$	−1.88136			−0.305197
$39$	1.94659	+	11.0396i	0.311703	+	1.76776i
$40$	−0.173648	+	0.984808i	−0.0274562	+	0.155712i
$41$	3.88595	−	1.41437i	0.606884	−	0.220888i	−0.0202554	−	0.999795i	$-0.506448\pi$
$41$	3.88595	−	1.41437i	0.606884	−	0.220888i	0.627139	+	0.778907i	$0.284226\pi$
$42$	−2.25842	−	1.89504i	−0.348481	−	0.292410i
$43$	−2.60386			−0.397086			−0.198543	−	0.980092i	$-0.563621\pi$
$43$	−2.60386			−0.397086			−0.198543	+	0.980092i	$0.563621\pi$
$44$	4.49972	+	3.77572i	0.678359	+	0.569211i
$45$	−3.53035	−	6.11474i	−0.526273	−	0.911532i
$46$	−5.68336	−	2.06857i	−0.837966	−	0.304995i
$47$	−1.21194	+	2.09915i	−0.176780	+	0.306192i	−0.940776	−	0.339029i	$-0.889901\pi$
$47$	−1.21194	+	2.09915i	−0.176780	+	0.306192i	0.763996	+	0.645221i	$0.223235\pi$
$48$	−1.58593	−	2.74691i	−0.228909	−	0.396482i
$49$	−1.06552	−	6.04286i	−0.152217	−	0.863266i
$50$	0.939693	−	0.342020i	0.132893	−	0.0483690i
$51$	1.96637	−	3.40585i	0.275347	−	0.476914i
$52$	2.70734	−	2.27173i	0.375441	−	0.315032i
$53$	4.31185	−	3.61807i	0.592279	−	0.496981i	−0.296675	−	0.954979i	$-0.595878\pi$
$53$	4.31185	−	3.61807i	0.592279	−	0.496981i	0.888953	+	0.457998i	$0.151433\pi$
$54$	12.1032	+	4.40520i	1.64704	+	0.599472i
$55$	1.02000	−	5.78473i	0.137537	−	0.780013i
$56$	−0.161401	+	0.915350i	−0.0215681	+	0.122319i
$57$	−5.60753	−	2.04097i	−0.742736	−	0.270334i
$58$	4.62449	−	3.88041i	0.607225	−	0.509523i
$59$	9.34237	−	7.83918i	1.21627	−	1.02057i	0.217262	−	0.976113i	$-0.430287\pi$
$59$	9.34237	−	7.83918i	1.21627	−	1.02057i	0.999011	−	0.0444609i	$-0.0141570\pi$
$60$	−1.58593	+	2.74691i	−0.204743	+	0.354625i
$61$	0.0319717	−	0.0116368i	0.00409356	−	0.00148993i	−0.339973	−	0.940435i	$-0.610418\pi$
$61$	0.0319717	−	0.0116368i	0.00409356	−	0.00148993i	0.344066	+	0.938945i	$0.388196\pi$
$62$	−0.997147	−	5.65510i	−0.126638	−	0.718199i
$63$	−3.28135	−	5.68347i	−0.413412	−	0.716050i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−3.32105	−	1.20876i	−0.411925	−	0.149929i
$66$	9.31571	+	16.1353i	1.14668	+	1.98612i
$67$	10.2021	+	8.56054i	1.24638	+	1.04584i	0.996998	+	0.0774318i	$0.0246720\pi$
$67$	10.2021	+	8.56054i	1.24638	+	1.04584i	0.249382	+	0.968405i	$0.419772\pi$
$68$	−1.23988			−0.150358
$69$	−14.6956	−	12.3311i	−1.76914	−	1.48449i
$70$	0.873417	−	0.317898i	0.104393	−	0.0379961i
$71$	−0.799134	+	4.53211i	−0.0948398	+	0.537863i	0.899957	+	0.435980i	$0.143598\pi$
$71$	−0.799134	+	4.53211i	−0.0948398	+	0.537863i	−0.994796	+	0.101883i	$0.967513\pi$
$72$	−1.22608	−	6.95343i	−0.144495	−	0.819469i
$73$	−15.4440			−1.80759			−0.903794	−	0.427967i	$-0.859230\pi$
$73$	−15.4440			−1.80759			−0.903794	+	0.427967i	$0.859230\pi$
$74$	0.414110	−	6.06865i	0.0481394	−	0.705466i
$75$	3.17186			0.366255
$76$	0.326695	+	1.85278i	0.0374745	+	0.212528i
$77$	0.948065	−	5.37674i	0.108042	−	0.612737i
$78$	10.5339	−	3.83403i	1.19273	−	0.434118i
$79$	−6.22482	−	5.22325i	−0.700347	−	0.587661i	0.221525	−	0.975155i	$-0.428896\pi$
$79$	−6.22482	−	5.22325i	−0.700347	−	0.587661i	−0.921872	+	0.387494i	$0.873341\pi$
$80$	1.00000			0.111803
$81$	15.0691	+	12.6445i	1.67434	+	1.40494i
$82$	−2.06767	−	3.58131i	−0.228336	−	0.395490i
$83$	−5.44916	−	1.98333i	−0.598123	−	0.217699i	0.0251752	−	0.999683i	$-0.491986\pi$
$83$	−5.44916	−	1.98333i	−0.598123	−	0.217699i	−0.623299	+	0.781984i	$0.714208\pi$
$84$	−1.47408	+	2.55317i	−0.160835	+	0.278574i
$85$	0.619942	+	1.07377i	0.0672421	+	0.116467i
$86$	0.452156	+	2.56431i	0.0487573	+	0.276516i
$87$	17.9933	−	6.54901i	1.92908	−	0.702127i
$88$	2.93699	−	5.08701i	0.313084	−	0.542277i
$89$	7.69964	−	6.46076i	0.816160	−	0.684839i	−0.135910	−	0.990721i	$-0.543396\pi$
$89$	7.69964	−	6.46076i	0.816160	−	0.684839i	0.952070	+	0.305882i	$0.0989512\pi$
$90$	−5.40880	+	4.53853i	−0.570138	+	0.478403i
$91$	−3.08682	−	1.12351i	−0.323586	−	0.117776i
$92$	−1.05024	+	5.95622i	−0.109495	+	0.620979i
$93$	3.16281	−	17.9372i	0.327968	−	1.86000i
$94$	2.27771	+	0.829018i	0.234928	+	0.0855067i
$95$	1.44121	−	1.20931i	0.147865	−	0.124073i
$96$	−2.42979	+	2.03883i	−0.247989	+	0.208087i
$97$	−5.43733	+	9.41773i	−0.552077	+	0.956225i	0.446048	+	0.895009i	$0.352831\pi$
$97$	−5.43733	+	9.41773i	−0.552077	+	0.956225i	−0.998125	+	0.0612159i	$0.980502\pi$
$98$	−5.76603	+	2.09866i	−0.582457	+	0.211997i
$99$	7.20194	+	40.8442i	0.723822	+	4.10500i
$100$	−0.500000	−	0.866025i	−0.0500000	−	0.0866025i
$101$	−0.763729	+	1.32282i	−0.0759938	+	0.131625i	−0.901518	−	0.432742i	$-0.857546\pi$
$101$	−0.763729	+	1.32282i	−0.0759938	+	0.131625i	0.825524	+	0.564367i	$0.190880\pi$
$102$	−3.69556	−	1.34508i	−0.365915	−	0.133182i
$103$	9.50248	+	16.4588i	0.936307	+	1.62173i	0.772286	+	0.635275i	$0.219113\pi$
$103$	9.50248	+	16.4588i	0.936307	+	1.62173i	0.164021	+	0.986457i	$0.447553\pi$
$104$	−2.70734	−	2.27173i	−0.265477	−	0.222762i
$105$	2.94815			0.287710
$106$	−4.31185	−	3.61807i	−0.418804	−	0.351418i
$107$	11.2627	−	4.09930i	1.08881	−	0.396295i	0.265631	−	0.964075i	$-0.414420\pi$
$107$	11.2627	−	4.09930i	1.08881	−	0.396295i	0.823180	+	0.567780i	$0.192198\pi$
$108$	2.23658	−	12.6843i	0.215215	−	1.22054i
$109$	−3.33015	−	18.8862i	−0.318970	−	1.80897i	−0.549039	−	0.835797i	$-0.685006\pi$
$109$	−3.33015	−	18.8862i	−0.318970	−	1.80897i	0.230069	−	0.973174i	$-0.426105\pi$
$110$	−5.87397			−0.560061
$111$	7.81780	−	17.6388i	0.742033	−	1.67420i
$112$	0.929471			0.0878268
$113$	2.59885	+	14.7388i	0.244479	+	1.38651i	0.821700	+	0.569920i	$0.193026\pi$
$113$	2.59885	+	14.7388i	0.244479	+	1.38651i	−0.577221	+	0.816588i	$0.695863\pi$
$114$	−1.03623	+	5.87675i	−0.0970518	+	0.550408i
$115$	5.68336	−	2.06857i	0.529976	−	0.192896i
$116$	−4.62449	−	3.88041i	−0.429373	−	0.360287i
$117$	24.9538			2.30698
$118$	−9.34237	−	7.83918i	−0.860035	−	0.721655i
$119$	0.576218	+	0.998039i	0.0528218	+	0.0914901i
$120$	2.98057	+	1.08484i	0.272088	+	0.0990319i
$121$	−11.7518	+	20.3547i	−1.06834	+	1.85043i
$122$	−0.0170118	−	0.0294653i	−0.00154018	−	0.00266766i
$123$	−2.27770	−	12.9175i	−0.205373	−	1.16473i
$124$	−5.39604	+	1.96400i	−0.484578	+	0.176372i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	−5.02733	+	4.21843i	−0.447870	+	0.375807i
$127$	−6.97903	+	5.85610i	−0.619289	+	0.519645i	−0.897580	−	0.440852i	$-0.854676\pi$
$127$	−6.97903	+	5.85610i	−0.619289	+	0.519645i	0.278291	+	0.960497i	$0.410232\pi$
$128$	0.939693	+	0.342020i	0.0830579	+	0.0302306i
$129$	−1.43418	+	8.13362i	−0.126272	+	0.716125i
$130$	−0.613705	+	3.48049i	−0.0538255	+	0.305259i
$131$	−6.59428	−	2.40012i	−0.576145	−	0.209699i	0.0374800	−	0.999297i	$-0.488067\pi$
$131$	−6.59428	−	2.40012i	−0.576145	−	0.209699i	−0.613625	+	0.789598i	$0.710289\pi$
$132$	14.2725	−	11.9760i	1.24226	−	1.04238i
$133$	1.33956	−	1.12402i	0.116154	−	0.0974652i
$134$	6.65892	−	11.5336i	0.575243	−	0.996350i
$135$	−12.1032	+	4.40520i	−1.04168	+	0.379139i
$136$	0.215304	+	1.22105i	0.0184621	+	0.104704i
$137$	5.04763	+	8.74275i	0.431248	+	0.746943i	0.996981	−	0.0776450i	$-0.0247401\pi$
$137$	5.04763	+	8.74275i	0.431248	+	0.746943i	−0.565733	+	0.824588i	$0.691407\pi$
$138$	−9.59187	+	16.6136i	−0.816514	+	1.41424i
$139$	−7.39909	−	2.69305i	−0.627583	−	0.228422i	0.00859596	−	0.999963i	$-0.497264\pi$
$139$	−7.39909	−	2.69305i	−0.627583	−	0.228422i	−0.636179	+	0.771542i	$0.719486\pi$
$140$	−0.464735	−	0.804945i	−0.0392773	−	0.0680303i
$141$	5.88952	+	4.94190i	0.495987	+	0.416183i
$142$	4.60203			0.386194
$143$	15.9029	+	13.3441i	1.32986	+	1.11589i
$144$	−6.63488	+	2.41490i	−0.552907	+	0.201242i
$145$	−1.04829	+	5.94513i	−0.0870555	+	0.493716i
$146$	2.68183	+	15.2094i	0.221950	+	1.25874i
$147$	−19.4628			−1.60526
$148$	−6.04836	+	0.645991i	−0.497172	+	0.0531001i
$149$	21.9173			1.79554			0.897768	−	0.440468i	$-0.145187\pi$
$149$	21.9173			1.79554			0.897768	+	0.440468i	$0.145187\pi$
$150$	−0.550788	−	3.12367i	−0.0449716	−	0.255047i
$151$	−3.16465	+	17.9476i	−0.257536	+	1.46056i	0.531943	+	0.846780i	$0.321462\pi$
$151$	−3.16465	+	17.9476i	−0.257536	+	1.46056i	−0.789479	+	0.613778i	$0.789649\pi$
$152$	1.76790	−	0.643463i	0.143396	−	0.0521917i
$153$	−6.70629	−	5.62724i	−0.542171	−	0.454936i
$154$	−5.45969			−0.439954
$155$	4.39889	+	3.69111i	0.353327	+	0.296477i
$156$	−5.60497	−	9.70809i	−0.448757	−	0.777270i
$157$	−16.6870	−	6.07358i	−1.33177	−	0.484725i	−0.424559	−	0.905400i	$-0.639571\pi$
$157$	−16.6870	−	6.07358i	−1.33177	−	0.484725i	−0.907211	+	0.420675i	$0.861793\pi$
$158$	−4.06296	+	7.03726i	−0.323232	+	0.559854i
$159$	−8.92676	−	15.4616i	−0.707938	−	1.22619i
$160$	−0.173648	−	0.984808i	−0.0137281	−	0.0778559i
$161$	5.28252	−	1.92268i	0.416321	−	0.151528i
$162$	9.83566	−	17.0359i	0.772762	−	1.33846i
$163$	1.05862	−	0.888286i	0.0829173	−	0.0695759i	−0.600387	−	0.799710i	$-0.704987\pi$
$163$	1.05862	−	0.888286i	0.0829173	−	0.0695759i	0.683304	+	0.730134i	$0.260542\pi$
$164$	−3.16786	+	2.65815i	−0.247368	+	0.207567i
$165$	−17.5078	−	6.37232i	−1.36298	−	0.496084i
$166$	−1.00696	+	5.71078i	−0.0781556	+	0.443242i
$167$	0.636538	−	3.60999i	0.0492568	−	0.279349i	−0.950224	−	0.311567i	$-0.899146\pi$
$167$	0.636538	−	3.60999i	0.0492568	−	0.279349i	0.999481	+	0.0322181i	$0.0102571\pi$
$168$	2.77036	+	1.00833i	0.213738	+	0.0777941i
$169$	−0.390322	+	0.327519i	−0.0300248	+	0.0251938i
$170$	0.949806	−	0.796982i	0.0728468	−	0.0611257i
$171$	−6.64185	+	11.5040i	−0.507915	+	0.879735i
$172$	2.44683	−	0.890574i	0.186569	−	0.0679056i
$173$	−0.970123	−	5.50184i	−0.0737571	−	0.418297i	−0.999221	−	0.0394618i	$-0.987436\pi$
$173$	−0.970123	−	5.50184i	−0.0737571	−	0.418297i	0.925464	−	0.378836i	$-0.123675\pi$
$174$	−9.57401	−	16.5827i	−0.725804	−	1.25713i
$175$	−0.464735	+	0.804945i	−0.0351307	+	0.0608482i
$176$	−5.51973	−	2.00902i	−0.416065	−	0.151435i
$177$	−19.3414	−	33.5002i	−1.45379	−	2.51803i
$178$	−7.69964	−	6.46076i	−0.577112	−	0.484255i
$179$	9.79877			0.732395			0.366197	−	0.930537i	$-0.380659\pi$
$179$	9.79877			0.732395			0.366197	+	0.930537i	$0.380659\pi$
$180$	5.40880	+	4.53853i	0.403149	+	0.338282i
$181$	13.5288	−	4.92407i	1.00559	−	0.366004i	0.213850	−	0.976866i	$-0.431400\pi$
$181$	13.5288	−	4.92407i	1.00559	−	0.366004i	0.791736	+	0.610863i	$0.209177\pi$
$182$	−0.570421	+	3.23502i	−0.0422824	+	0.239795i
$183$	−0.0187398	−	0.106279i	−0.00138528	−	0.00785633i
$184$	6.04811			0.445872
$185$	3.58363	+	4.91504i	0.263473	+	0.361361i
$186$	−18.2139			−1.33551
$187$	−1.26469	−	7.17240i	−0.0924831	−	0.524498i
$188$	0.420903	−	2.38706i	0.0306975	−	0.174094i
$189$	−11.2496	+	4.09451i	−0.818286	+	0.297832i
$190$	−1.44121	−	1.20931i	−0.104556	−	0.0877329i
$191$	−11.8686			−0.858784			−0.429392	−	0.903118i	$-0.641272\pi$
$191$	−11.8686			−0.858784			−0.429392	+	0.903118i	$0.641272\pi$
$192$	2.42979	+	2.03883i	0.175355	+	0.147140i
$193$	−2.81608	−	4.87759i	−0.202706	−	0.351096i	0.746694	−	0.665168i	$-0.231640\pi$
$193$	−2.81608	−	4.87759i	−0.202706	−	0.351096i	−0.949399	+	0.314072i	$0.898307\pi$
$194$	10.2188	+	3.71935i	0.733669	+	0.267034i
$195$	−5.60497	+	9.70809i	−0.401380	+	0.695211i
$196$	3.06804	+	5.31400i	0.219146	+	0.379572i
$197$	−0.432321	−	2.45181i	−0.0308016	−	0.174684i	0.965526	−	0.260306i	$-0.0838235\pi$
$197$	−0.432321	−	2.45181i	−0.0308016	−	0.174684i	−0.996328	+	0.0856217i	$0.972712\pi$
$198$	38.9731	−	14.1851i	2.76970	−	1.00809i
$199$	−3.05463	+	5.29077i	−0.216537	+	0.375053i	−0.953747	−	0.300611i	$-0.902809\pi$
$199$	−3.05463	+	5.29077i	−0.216537	+	0.375053i	0.737210	+	0.675664i	$0.236143\pi$
$200$	−0.766044	+	0.642788i	−0.0541675	+	0.0454519i
$201$	32.3595	−	27.1528i	2.28246	−	1.91521i
$202$	1.43534	+	0.522421i	0.100990	+	0.0367574i
$203$	−0.974352	+	5.52583i	−0.0683861	+	0.387837i
$204$	−0.682913	+	3.87299i	−0.0478134	+	0.271164i
$205$	3.88595	+	1.41437i	0.271407	+	0.0987840i
$206$	14.5586	−	12.2162i	1.01435	−	0.851140i
$207$	−32.7130	+	27.4495i	−2.27371	+	1.90787i
$208$	−1.76709	+	3.06069i	−0.122526	+	0.212221i
$209$	−10.3846	+	3.77968i	−0.718318	+	0.261446i
$210$	−0.511941	−	2.90336i	−0.0353273	−	0.200351i
$211$	−10.2514	−	17.7560i	−0.705739	−	1.22238i	−0.966424	−	0.256952i	$-0.917282\pi$
$211$	−10.2514	−	17.7560i	−0.705739	−	1.22238i	0.260685	−	0.965424i	$-0.416051\pi$
$212$	−2.81436	+	4.87462i	−0.193291	+	0.334790i
$213$	13.7167	+	4.99247i	0.939852	+	0.342078i
$214$	−5.99278	−	10.3798i	−0.409658	−	0.709549i
$215$	−1.99468	−	1.67373i	−0.136036	−	0.114148i
$216$	−12.8799			−0.876370
$217$	4.08864	+	3.43078i	0.277555	+	0.232896i
$218$	−18.0210	+	6.55911i	−1.22054	+	0.444239i
$219$	−8.50639	+	48.2421i	−0.574808	+	3.25990i
$220$	1.02000	+	5.78473i	0.0687687	+	0.390007i
$221$	−4.38198			−0.294764
$222$	−18.7284	−	4.63608i	−1.25697	−	0.311153i
$223$	−6.85587			−0.459103			−0.229552	−	0.973296i	$-0.573726\pi$
$223$	−6.85587			−0.459103			−0.229552	+	0.973296i	$0.573726\pi$
$224$	−0.161401	−	0.915350i	−0.0107841	−	0.0611594i
$225$	1.22608	−	6.95343i	0.0817384	−	0.463562i
$226$	14.0636	−	5.11873i	0.935496	−	0.340493i
$227$	1.16745	+	0.979606i	0.0774863	+	0.0650188i	0.680708	−	0.732555i	$-0.261672\pi$
$227$	1.16745	+	0.979606i	0.0774863	+	0.0650188i	−0.603222	+	0.797573i	$0.706117\pi$
$228$	5.96741			0.395201
$229$	20.2224	+	16.9686i	1.33633	+	1.12132i	0.982552	+	0.185989i	$0.0595489\pi$
$229$	20.2224	+	16.9686i	1.33633	+	1.12132i	0.353782	+	0.935328i	$0.384895\pi$
$230$	−3.02405	−	5.23781i	−0.199400	−	0.345371i
$231$	−16.2730	−	5.92289i	−1.07068	−	0.389697i
$232$	−3.01842	+	5.22806i	−0.198169	+	0.343239i
$233$	−3.10059	−	5.37038i	−0.203126	−	0.351825i	0.746408	−	0.665489i	$-0.231777\pi$
$233$	−3.10059	−	5.37038i	−0.203126	−	0.351825i	−0.949534	+	0.313664i	$0.898444\pi$
$234$	−4.33318	−	24.5747i	−0.283269	−	1.60650i
$235$	−2.27771	+	0.829018i	−0.148581	+	0.0540792i
$236$	−6.09780	+	10.5617i	−0.396933	+	0.687508i
$237$	−19.7443	+	16.5674i	−1.28253	+	1.07617i
$238$	0.882817	−	0.740771i	0.0572245	−	0.0480171i
$239$	−12.1304	−	4.41511i	−0.784652	−	0.285590i	−0.0815409	−	0.996670i	$-0.525984\pi$
$239$	−12.1304	−	4.41511i	−0.784652	−	0.285590i	−0.703111	+	0.711080i	$0.748206\pi$
$240$	0.550788	−	3.12367i	0.0355532	−	0.201632i
$241$	0.824354	−	4.67514i	0.0531013	−	0.301152i	−0.946678	−	0.322183i	$-0.895583\pi$
$241$	0.824354	−	4.67514i	0.0531013	−	0.301152i	0.999779	+	0.0210302i	$0.00669460\pi$
$242$	22.0861	+	8.03869i	1.41975	+	0.516747i
$243$	18.1972	−	15.2693i	1.16735	−	0.979525i
$244$	−0.0260636	+	0.0218699i	−0.00166855	+	0.00140008i
$245$	3.06804	−	5.31400i	0.196010	−	0.339499i
$246$	−12.3257	+	4.48619i	−0.785858	+	0.286029i
$247$	1.15460	+	6.54806i	0.0734654	+	0.416643i
$248$	2.87117	+	4.97302i	0.182320	+	0.315787i
$249$	−9.19661	+	15.9290i	−0.582812	+	1.00946i
$250$	0.939693	+	0.342020i	0.0594314	+	0.0216313i
$251$	10.8411	+	18.7773i	0.684285	+	1.18522i	0.973661	+	0.228000i	$0.0732187\pi$
$251$	10.8411	+	18.7773i	0.684285	+	1.18522i	−0.289376	+	0.957215i	$0.593448\pi$
$252$	5.02733	+	4.21843i	0.316692	+	0.265736i
$253$	−35.5264			−2.23353
$254$	6.97903	+	5.85610i	0.437903	+	0.367444i
$255$	3.69556	−	1.34508i	0.231425	−	0.0842319i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	2.25919	+	12.8125i	0.140925	+	0.799224i	0.970549	+	0.240902i	$0.0774433\pi$
$257$	2.25919	+	12.8125i	0.140925	+	0.799224i	−0.829625	+	0.558321i	$0.811446\pi$
$258$	8.25909			0.514189
$259$	3.33088	+	4.56839i	0.206971	+	0.283866i
$260$	3.53419			0.219181
$261$	−7.40163	−	41.9767i	−0.458149	−	2.59829i
$262$	−1.21857	+	6.91087i	−0.0752837	+	0.426955i
$263$	24.6428	−	8.96924i	1.51954	−	0.553067i	0.558506	−	0.829500i	$-0.311375\pi$
$263$	24.6428	−	8.96924i	1.51954	−	0.553067i	0.961033	+	0.276433i	$0.0891524\pi$
$264$	−14.2725	−	11.9760i	−0.878411	−	0.737075i
$265$	5.62872			0.345770
$266$	−1.33956	−	1.12402i	−0.0821336	−	0.0689183i
$267$	−15.9404	−	27.6096i	−0.975539	−	1.68968i
$268$	−12.5147	−	4.55497i	−0.764456	−	0.278239i
$269$	1.49777	−	2.59422i	0.0913209	−	0.158172i	−0.816746	−	0.576997i	$-0.804224\pi$
$269$	1.49777	−	2.59422i	0.0913209	−	0.158172i	0.908067	+	0.418825i	$0.137558\pi$
$270$	6.43997	+	11.1544i	0.391924	+	0.678833i
$271$	2.36699	+	13.4239i	0.143784	+	0.815442i	0.968335	+	0.249654i	$0.0803169\pi$
$271$	2.36699	+	13.4239i	0.143784	+	0.815442i	−0.824551	+	0.565788i	$0.808572\pi$
$272$	1.16511	−	0.424065i	0.0706451	−	0.0257127i
$273$	−5.20966	+	9.02339i	−0.315303	+	0.546121i
$274$	7.73342	−	6.48911i	0.467193	−	0.392021i
$275$	4.49972	−	3.77572i	0.271344	−	0.227684i
$276$	18.0268	+	6.56123i	1.08509	+	0.394939i
$277$	−3.54388	+	20.0983i	−0.212931	+	1.20759i	0.671530	+	0.740978i	$0.265638\pi$
$277$	−3.54388	+	20.0983i	−0.212931	+	1.20759i	−0.884461	+	0.466615i	$0.845474\pi$
$278$	−1.36730	+	7.75433i	−0.0820050	+	0.465074i
$279$	−38.0998	−	13.8672i	−2.28097	−	0.830206i
$280$	−0.712016	+	0.597452i	−0.0425511	+	0.0357046i
$281$	−6.39231	+	5.36378i	−0.381333	+	0.319977i	−0.813226	−	0.581949i	$-0.802290\pi$
$281$	−6.39231	+	5.36378i	−0.381333	+	0.319977i	0.431892	+	0.901925i	$0.357846\pi$
$282$	3.84411	−	6.65820i	0.228914	−	0.396490i
$283$	22.8417	−	8.31370i	1.35780	−	0.494198i	0.442426	−	0.896805i	$-0.354118\pi$
$283$	22.8417	−	8.31370i	1.35780	−	0.494198i	0.915373	+	0.402607i	$0.131896\pi$
$284$	−0.799134	−	4.53211i	−0.0474199	−	0.268932i
$285$	−2.98371	−	5.16793i	−0.176739	−	0.306122i
$286$	10.3799	−	17.9784i	0.613774	−	1.06309i
$287$	3.61188	+	1.31462i	0.213203	+	0.0775994i
$288$	3.53035	+	6.11474i	0.208028	+	0.360315i
$289$	−11.8451	−	9.93922i	−0.696771	−	0.584660i
$290$	6.03684			0.354496
$291$	26.4231	+	22.1716i	1.54895	+	1.29972i
$292$	14.5127	−	5.28217i	0.849289	−	0.309116i
$293$	−3.15769	+	17.9082i	−0.184474	+	1.04621i	0.742155	+	0.670229i	$0.233804\pi$
$293$	−3.15769	+	17.9082i	−0.184474	+	1.04621i	−0.926629	+	0.375977i	$0.877307\pi$
$294$	3.37968	+	19.1671i	0.197107	+	1.11785i
$295$	12.1956			0.710055
$296$	1.68646	+	5.84430i	0.0980237	+	0.339693i
$297$	75.6565			4.39003
$298$	−3.80590	−	21.5843i	−0.220470	−	1.25035i
$299$	−3.71175	+	21.0504i	−0.214656	+	1.21738i
$300$	−2.98057	+	1.08484i	−0.172083	+	0.0626333i
$301$	−1.85399	−	1.55569i	−0.106862	−	0.0896682i
$302$	18.2245			1.04870
$303$	3.71139	+	3.11423i	0.213214	+	0.178908i
$304$	−0.940680	−	1.62931i	−0.0539517	−	0.0934471i
$305$	0.0319717	+	0.0116368i	0.00183069	+	0.000666318i
$306$	−4.37722	+	7.58157i	−0.250229	+	0.433409i
$307$	15.1248	+	26.1969i	0.863217	+	1.49514i	0.868807	+	0.495151i	$0.164887\pi$
$307$	15.1248	+	26.1969i	0.863217	+	1.49514i	−0.00558994	+	0.999984i	$0.501779\pi$
$308$	0.948065	+	5.37674i	0.0540210	+	0.306368i
$309$	56.6457	−	20.6173i	3.22246	−	1.17288i
$310$	2.87117	−	4.97302i	0.163072	−	0.282448i
$311$	−2.34617	+	1.96867i	−0.133039	+	0.111633i	−0.706879	−	0.707334i	$-0.749898\pi$
$311$	−2.34617	+	1.96867i	−0.133039	+	0.111633i	0.573840	+	0.818967i	$0.305453\pi$
$312$	−8.58731	+	7.20561i	−0.486161	+	0.407937i
$313$	30.6277	+	11.1476i	1.73118	+	0.630099i	0.998714	−	0.0507023i	$-0.0161460\pi$
$313$	30.6277	+	11.1476i	1.73118	+	0.630099i	0.732468	+	0.680801i	$0.238368\pi$
$314$	−3.08364	+	17.4882i	−0.174020	+	0.986916i
$315$	1.13960	−	6.46301i	0.0642093	−	0.364149i
$316$	7.63587	+	2.77923i	0.429551	+	0.156344i
$317$	0.228698	−	0.191901i	0.0128450	−	0.0107782i	−0.636343	−	0.771407i	$-0.719553\pi$
$317$	0.228698	−	0.191901i	0.0128450	−	0.0107782i	0.649188	+	0.760628i	$0.275109\pi$
$318$	−13.6766	+	11.4760i	−0.766945	+	0.643543i
$319$	17.7301	−	30.7095i	0.992696	−	1.71940i
$320$	−0.939693	+	0.342020i	−0.0525304	+	0.0191195i
$321$	−6.60150	−	37.4390i	−0.368460	−	2.08964i
$322$	−2.81077	−	4.86840i	−0.156638	−	0.271305i
$323$	1.16633	−	2.02015i	0.0648965	−	0.112404i
$324$	−18.4850	−	6.72798i	−1.02694	−	0.373777i
$325$	−1.76709	−	3.06069i	−0.0980207	−	0.169777i
$326$	−1.05862	−	0.888286i	−0.0586314	−	0.0491976i
$327$	−60.8285			−3.36383
$328$	3.16786	+	2.65815i	0.174916	+	0.146772i
$329$	−2.11706	+	0.770548i	−0.116718	+	0.0424817i
$330$	−3.23531	+	18.3484i	−0.178098	+	1.01004i
$331$	−5.95081	−	33.7487i	−0.327086	−	1.85500i	−0.494592	−	0.869125i	$-0.664683\pi$
$331$	−5.95081	−	33.7487i	−0.327086	−	1.85500i	0.167506	−	0.985871i	$-0.446429\pi$
$332$	5.79888			0.318255
$333$	−35.6463	−	23.9566i	−1.95340	−	1.31281i
$334$	−3.66568			−0.200577
$335$	2.31262	+	13.1155i	0.126352	+	0.716577i
$336$	0.511941	−	2.90336i	0.0279287	−	0.158391i
$337$	−13.8226	+	5.03103i	−0.752968	+	0.274058i	−0.689854	−	0.723949i	$-0.742325\pi$
$337$	−13.8226	+	5.03103i	−0.752968	+	0.274058i	−0.0631137	+	0.998006i	$0.520103\pi$
$338$	0.390322	+	0.327519i	0.0212307	+	0.0178147i
$339$	47.4705			2.57825
$340$	−0.949806	−	0.796982i	−0.0515105	−	0.0432224i
$341$	−16.8652	−	29.2114i	−0.913301	−	1.58188i
$342$	12.4826	+	4.54330i	0.674982	+	0.245673i
$343$	6.10480	−	10.5738i	0.329628	−	0.570933i
$344$	−1.30193	−	2.25501i	−0.0701955	−	0.121582i
$345$	−3.33122	−	18.8923i	−0.179347	−	1.01713i
$346$	−5.24980	+	1.91077i	−0.282231	+	0.102724i
$347$	5.16925	−	8.95341i	0.277500	−	0.480644i	−0.693263	−	0.720685i	$-0.743827\pi$
$347$	5.16925	−	8.95341i	0.277500	−	0.480644i	0.970763	+	0.240041i	$0.0771608\pi$
$348$	−14.6682	+	12.3081i	−0.786300	+	0.659784i
$349$	0.300399	−	0.252065i	0.0160800	−	0.0134927i	−0.634712	−	0.772749i	$-0.718881\pi$
$349$	0.300399	−	0.252065i	0.0160800	−	0.0134927i	0.650792	+	0.759256i	$0.274437\pi$
$350$	0.873417	+	0.317898i	0.0466861	+	0.0169924i
$351$	7.90449	−	44.8286i	0.421910	−	2.39277i
$352$	−1.02000	+	5.78473i	−0.0543664	+	0.308327i
$353$	−15.4061	−	5.60736i	−0.819984	−	0.298450i	−0.102242	−	0.994760i	$-0.532602\pi$
$353$	−15.4061	−	5.60736i	−0.819984	−	0.298450i	−0.717741	+	0.696310i	$0.754824\pi$
$354$	−29.6327	+	24.8648i	−1.57496	+	1.32155i
$355$	−3.52536	+	2.95813i	−0.187107	+	0.157001i
$356$	−5.02558	+	8.70456i	−0.266355	+	0.461341i
$357$	3.43492	−	1.25021i	0.181795	−	0.0661680i
$358$	−1.70154	−	9.64991i	−0.0899291	−	0.510014i
$359$	−7.16957	−	12.4181i	−0.378396	−	0.655400i	0.612433	−	0.790522i	$-0.290191\pi$
$359$	−7.16957	−	12.4181i	−0.378396	−	0.655400i	−0.990829	+	0.135122i	$0.956857\pi$
$360$	3.53035	−	6.11474i	0.186066	−	0.322275i
$361$	14.5281	+	5.28780i	0.764637	+	0.278305i
$362$	−7.19852	−	12.4682i	−0.378346	−	0.655314i
$363$	57.1086	+	47.9198i	2.99742	+	2.51514i
$364$	3.28492			0.172177
$365$	−11.8308	−	9.92724i	−0.619254	−	0.519615i
$366$	−0.101410	+	0.0369101i	−0.00530077	+	0.00192932i
$367$	−0.628938	+	3.56689i	−0.0328303	+	0.186190i	−0.996813	−	0.0797756i	$-0.974580\pi$
$367$	−0.628938	+	3.56689i	−0.0328303	+	0.186190i	0.963983	+	0.265966i	$0.0856907\pi$
$368$	−1.05024	−	5.95622i	−0.0547477	−	0.310490i
$369$	−29.1984			−1.52001
$370$	4.21808	−	4.38267i	0.219288	−	0.227844i
$371$	5.23174			0.271618
$372$	3.16281	+	17.9372i	0.163984	+	0.930000i
$373$	−3.50316	+	19.8674i	−0.181387	+	1.02870i	0.749124	+	0.662430i	$0.230475\pi$
$373$	−3.50316	+	19.8674i	−0.181387	+	1.02870i	−0.930510	+	0.366265i	$0.880636\pi$
$374$	−6.84382	+	2.49095i	−0.353886	+	0.128804i
$375$	2.42979	+	2.03883i	0.125474	+	0.105285i
$376$	−2.42389			−0.125002
$377$	−16.3438	−	13.7141i	−0.841749	−	0.706311i
$378$	5.98577	+	10.3677i	0.307875	+	0.533255i
$379$	−6.02612	−	2.19333i	−0.309541	−	0.112664i	0.182579	−	0.983191i	$-0.441556\pi$
$379$	−6.02612	−	2.19333i	−0.309541	−	0.112664i	−0.492120	+	0.870528i	$0.663778\pi$
$380$	−0.940680	+	1.62931i	−0.0482559	+	0.0835816i
$381$	14.4486	+	25.0257i	0.740223	+	1.28210i
$382$	2.06097	+	11.6883i	0.105448	+	0.598026i
$383$	−17.1497	+	6.24197i	−0.876307	+	0.318950i	−0.740718	−	0.671816i	$-0.765515\pi$
$383$	−17.1497	+	6.24197i	−0.876307	+	0.318950i	−0.135588	+	0.990765i	$0.543292\pi$
$384$	1.58593	−	2.74691i	0.0809316	−	0.140178i
$385$	4.18236	−	3.50942i	0.213153	−	0.178857i
$386$	−4.31448	+	3.62028i	−0.219601	+	0.184267i
$387$	17.2763	+	6.28807i	0.878205	+	0.319641i
$388$	1.88836	−	10.7094i	0.0958671	−	0.543690i
$389$	−0.322205	+	1.82732i	−0.0163365	+	0.0926486i	−0.991886	−	0.127132i	$-0.959423\pi$
$389$	−0.322205	+	1.82732i	−0.0163365	+	0.0926486i	0.975549	+	0.219780i	$0.0705340\pi$
$390$	10.5339	+	3.83403i	0.533405	+	0.194143i
$391$	5.74453	−	4.82023i	0.290513	−	0.243770i
$392$	4.70051	−	3.94420i	0.237412	−	0.199212i
$393$	−11.1292	+	19.2764i	−0.561396	+	0.972366i
$394$	−2.33949	+	0.851506i	−0.117862	+	0.0428982i
$395$	−1.41105	−	8.00248i	−0.0709978	−	0.402648i
$396$	−20.7372	−	35.9178i	−1.04208	−	1.80494i
$397$	−1.42849	+	2.47422i	−0.0716938	+	0.124177i	−0.899644	−	0.436625i	$-0.856174\pi$
$397$	−1.42849	+	2.47422i	−0.0716938	+	0.124177i	0.827950	+	0.560802i	$0.189507\pi$
$398$	5.74082	+	2.08949i	0.287761	+	0.104737i
$399$	−2.77327	−	4.80344i	−0.138837	−	0.240473i
$400$	0.766044	+	0.642788i	0.0383022	+	0.0321394i
$401$	−10.9522			−0.546925			−0.273463	−	0.961883i	$-0.588169\pi$
$401$	−10.9522			−0.546925			−0.273463	+	0.961883i	$0.588169\pi$
$402$	−32.3595	−	27.1528i	−1.61395	−	1.35426i
$403$	−19.0706	+	6.94113i	−0.949974	+	0.345762i
$404$	0.265240	−	1.50425i	0.0131962	−	0.0748393i
$405$	3.41589	+	19.3725i	0.169737	+	0.962625i
$406$	5.61107			0.278473
$407$	−9.90624	−	34.3293i	−0.491034	−	1.70164i
$408$	3.93274			0.194699
$409$	1.96983	+	11.1715i	0.0974019	+	0.552394i	0.993985	+	0.109518i	$0.0349307\pi$
$409$	1.96983	+	11.1715i	0.0974019	+	0.552394i	−0.896583	+	0.442876i	$0.853958\pi$
$410$	0.718095	−	4.07252i	0.0354642	−	0.201127i
$411$	30.0897	−	10.9517i	1.48421	−	0.540209i
$412$	−14.5586	−	12.2162i	−0.717253	−	0.601847i
$413$	11.3355			0.557781
$414$	32.7130	+	27.4495i	1.60776	+	1.34907i
$415$	−2.89944	−	5.02198i	−0.142328	−	0.246519i
$416$	3.32105	+	1.20876i	0.162828	+	0.0592645i
$417$	−12.4875	+	21.6290i	−0.611517	+	1.05918i
$418$	5.52553	+	9.57050i	0.270262	+	0.468108i
$419$	0.768636	+	4.35915i	0.0375503	+	0.212959i	0.997810	−	0.0661509i	$-0.0210719\pi$
$419$	0.768636	+	4.35915i	0.0375503	+	0.212959i	−0.960259	+	0.279109i	$0.909961\pi$
$420$	−2.77036	+	1.00833i	−0.135180	+	0.0492013i
$421$	−2.67986	+	4.64166i	−0.130609	+	0.226221i	−0.923911	−	0.382607i	$-0.875026\pi$
$421$	−2.67986	+	4.64166i	−0.130609	+	0.226221i	0.793303	+	0.608827i	$0.208360\pi$
$422$	−15.7061	+	13.1790i	−0.764562	+	0.641544i
$423$	13.1103	−	11.0009i	0.637446	−	0.534881i
$424$	5.28927	+	1.92514i	0.256870	+	0.0934929i
$425$	−0.215304	+	1.22105i	−0.0104438	+	0.0592295i
$426$	2.53474	−	14.3752i	0.122809	−	0.696482i
$427$	0.0297168	+	0.0108160i	0.00143810	+	0.000523424i
$428$	−9.18147	+	7.70417i	−0.443803	+	0.372395i
$429$	50.4416	−	42.3256i	2.43535	−	2.04350i
$430$	−1.30193	+	2.25501i	−0.0627848	+	0.108746i
$431$	−21.0483	+	7.66094i	−1.01386	+	0.369014i	−0.794914	−	0.606723i	$-0.792484\pi$
$431$	−21.0483	+	7.66094i	−1.01386	+	0.369014i	−0.218945	+	0.975737i	$0.570262\pi$
$432$	2.23658	+	12.6843i	0.107607	+	0.610272i
$433$	12.7090	+	22.0126i	0.610753	+	1.05786i	0.991114	+	0.133018i	$0.0424667\pi$
$433$	12.7090	+	22.0126i	0.610753	+	1.05786i	−0.380360	+	0.924838i	$0.624200\pi$
$434$	2.66867	−	4.62227i	0.128100	−	0.221876i
$435$	17.9933	+	6.54901i	0.862710	+	0.314001i
$436$	9.58878	+	16.6083i	0.459219	+	0.795391i
$437$	−8.71656	−	7.31407i	−0.416970	−	0.349879i
$438$	48.9863			2.34066
$439$	4.54561	+	3.81422i	0.216950	+	0.182043i	0.744786	−	0.667304i	$-0.232552\pi$
$439$	4.54561	+	3.81422i	0.216950	+	0.182043i	−0.527835	+	0.849347i	$0.676996\pi$
$440$	5.51973	−	2.00902i	0.263143	−	0.0957761i
$441$	−7.52331	+	42.6668i	−0.358253	+	2.03175i
$442$	0.760923	+	4.31541i	0.0361934	+	0.205263i
$443$	7.52705			0.357621			0.178810	−	0.983884i	$-0.442775\pi$
$443$	7.52705			0.357621			0.178810	+	0.983884i	$0.442775\pi$
$444$	−1.31350	+	19.2489i	−0.0623360	+	0.913513i
$445$	10.0512			0.476471
$446$	1.19051	+	6.75172i	0.0563723	+	0.319703i
$447$	12.0718	−	68.4625i	0.570976	−	3.23817i
$448$	−0.873417	+	0.317898i	−0.0412651	+	0.0150193i
$449$	10.6603	+	8.94507i	0.503092	+	0.422144i	0.858690	−	0.512495i	$-0.171279\pi$
$449$	10.6603	+	8.94507i	0.503092	+	0.422144i	−0.355599	+	0.934639i	$0.615723\pi$
$450$	−7.06069			−0.332844
$451$	−18.6079	−	15.6139i	−0.876212	−	0.735229i
$452$	−7.48308	−	12.9611i	−0.351974	−	0.609637i
$453$	54.3195	+	19.7707i	2.55215	+	0.928907i
$454$	0.761998	−	1.31982i	0.0357624	−	0.0619422i
$455$	−1.64246	−	2.84483i	−0.0769998	−	0.133368i
$456$	−1.03623	−	5.87675i	−0.0485259	−	0.275204i
$457$	−37.4653	+	13.6362i	−1.75255	+	0.637877i	−0.999792	−	0.0204183i	$-0.993500\pi$
$457$	−37.4653	+	13.6362i	−1.75255	+	0.637877i	−0.752760	+	0.658295i	$0.771278\pi$
$458$	13.1992	−	22.8617i	0.616760	−	1.06826i
$459$	−12.2335	+	10.2651i	−0.571009	+	0.479133i
$460$	−4.63312	+	3.88765i	−0.216020	+	0.181263i
$461$	−5.73901	−	2.08883i	−0.267292	−	0.0972864i	0.204897	−	0.978783i	$-0.434314\pi$
$461$	−5.73901	−	2.08883i	−0.267292	−	0.0972864i	−0.472190	+	0.881497i	$0.656536\pi$
$462$	−3.00713	+	17.0543i	−0.139904	+	0.793437i
$463$	−0.546934	+	3.10181i	−0.0254182	+	0.144154i	−0.994876	−	0.101106i	$-0.967762\pi$
$463$	−0.546934	+	3.10181i	−0.0254182	+	0.144154i	0.969458	+	0.245259i	$0.0788731\pi$
$464$	5.67278	+	2.06472i	0.263352	+	0.0958523i
$465$	13.9527	−	11.7077i	0.647039	−	0.542930i
$466$	−4.75038	+	3.98604i	−0.220057	+	0.184650i
$467$	11.1102	−	19.2434i	0.514118	−	0.890479i	−0.485748	−	0.874099i	$-0.661453\pi$
$467$	11.1102	−	19.2434i	0.514118	−	0.890479i	0.999866	−	0.0163796i	$-0.00521401\pi$
$468$	−23.4489	+	8.53470i	−1.08393	+	0.394517i
$469$	2.14951	+	12.1905i	0.0992553	+	0.562905i
$470$	1.21194	+	2.09915i	0.0559028	+	0.0968264i
$471$	−28.1629	+	48.7796i	−1.29768	+	2.24764i
$472$	11.4601	+	4.17114i	0.527494	+	0.191992i
$473$	7.64751	+	13.2459i	0.351633	+	0.609046i
$474$	19.7443	+	16.5674i	0.906884	+	0.760966i
$475$	1.88136			0.0863227
$476$	−0.882817	−	0.740771i	−0.0404639	−	0.0339532i
$477$	−37.3459	+	13.5928i	−1.70995	+	0.622372i
$478$	−2.24161	+	12.7128i	−0.102529	+	0.581471i
$479$	−2.69352	−	15.2757i	−0.123070	−	0.697965i	−0.982435	−	0.186603i	$-0.940252\pi$
$479$	−2.69352	−	15.2757i	−0.123070	−	0.697965i	0.859365	−	0.511362i	$-0.170859\pi$
$480$	−3.17186			−0.144775
$481$	−21.3760	+	2.28305i	−0.974664	+	0.104098i
$482$	−4.74727			−0.216232
$483$	−3.09627	−	17.5598i	−0.140885	−	0.799001i
$484$	4.08135	−	23.1465i	0.185516	−	1.05211i
$485$	−10.2188	+	3.71935i	−0.464013	+	0.168887i
$486$	−18.1972	−	15.2693i	−0.825443	−	0.692629i
$487$	14.4319			0.653971			0.326985	−	0.945029i	$-0.393967\pi$
$487$	14.4319			0.653971			0.326985	+	0.945029i	$0.393967\pi$
$488$	0.0260636	+	0.0218699i	0.00117984	+	0.000990006i
$489$	−2.19164	−	3.79603i	−0.0991094	−	0.171662i
$490$	−5.76603	−	2.09866i	−0.260483	−	0.0948080i
$491$	15.3104	−	26.5183i	0.690947	−	1.19675i	−0.280581	−	0.959830i	$-0.590527\pi$
$491$	15.3104	−	26.5183i	0.690947	−	1.19675i	0.971528	−	0.236925i	$-0.0761395\pi$
$492$	6.55837	+	11.3594i	0.295674	+	0.512122i
$493$	1.29975	+	7.37127i	0.0585380	+	0.331985i
$494$	6.24809	−	2.27412i	0.281115	−	0.102317i
$495$	−20.7372	+	35.9178i	−0.932066	+	1.61439i
$496$	4.39889	−	3.69111i	0.197516	−	0.165736i
$497$	−3.27672	+	2.74949i	−0.146981	+	0.123332i
$498$	17.2840	+	6.29085i	0.774514	+	0.281900i
$499$	3.09997	−	17.5808i	0.138774	−	0.787024i	−0.833384	−	0.552695i	$-0.813599\pi$
$499$	3.09997	−	17.5808i	0.138774	−	0.787024i	0.972157	−	0.234329i	$-0.0752894\pi$
$500$	0.173648	−	0.984808i	0.00776578	−	0.0440419i
$501$	−10.9258	−	3.97667i	−0.488130	−	0.177665i
$502$	16.6095	−	13.9371i	0.741320	−	0.622041i
$503$	−5.26939	+	4.42154i	−0.234951	+	0.197147i	−0.752660	−	0.658410i	$-0.771229\pi$
$503$	−5.26939	+	4.42154i	−0.234951	+	0.197147i	0.517709	+	0.855557i	$0.326785\pi$
$504$	3.28135	−	5.68347i	0.146163	−	0.253162i
$505$	−1.43534	+	0.522421i	−0.0638718	+	0.0232474i
$506$	6.16910	+	34.9867i	0.274250	+	1.55535i
$507$	0.808078	+	1.39963i	0.0358880	+	0.0621598i
$508$	4.55524	−	7.88990i	0.202106	−	0.350058i
$509$	−40.4630	−	14.7273i	−1.79349	−	0.652778i	−0.998962	−	0.0455545i	$-0.985495\pi$
$509$	−40.4630	−	14.7273i	−1.79349	−	0.652778i	−0.794531	−	0.607224i	$-0.792283\pi$
$510$	−1.96637	−	3.40585i	−0.0870723	−	0.150814i
$511$	−10.9964	−	9.22708i	−0.486452	−	0.408182i
$512$	−1.00000			−0.0441942
$513$	18.5627	+	15.5759i	0.819561	+	0.687693i
$514$	12.2256	−	4.44975i	0.539247	−	0.196270i
$515$	−3.30018	+	18.7162i	−0.145423	+	0.824736i
$516$	−1.43418	−	8.13362i	−0.0631361	−	0.358063i
$517$	14.2378			0.626180
$518$	3.92058	−	4.07357i	0.172261	−	0.178982i
$519$	−17.7203			−0.777834
$520$	−0.613705	−	3.48049i	−0.0269127	−	0.152630i
$521$	−4.62807	+	26.2471i	−0.202759	+	1.14991i	0.698167	+	0.715935i	$0.253999\pi$
$521$	−4.62807	+	26.2471i	−0.202759	+	1.14991i	−0.900927	+	0.433971i	$0.857112\pi$
$522$	−40.0537	+	14.5784i	−1.75310	+	0.638078i
$523$	−16.2414	−	13.6281i	−0.710187	−	0.595917i	0.214465	−	0.976732i	$-0.431199\pi$
$523$	−16.2414	−	13.6281i	−0.710187	−	0.595917i	−0.924651	+	0.380814i	$0.875644\pi$
$524$	7.01748			0.306560
$525$	2.25842	+	1.89504i	0.0985653	+	0.0827061i
$526$	−13.1122	−	22.7109i	−0.571717	−	0.990243i
$527$	6.69046	+	2.43513i	0.291441	+	0.106076i
$528$	−9.31571	+	16.1353i	−0.405414	+	0.702198i
$529$	−6.78980	−	11.7603i	−0.295209	−	0.511316i
$530$	−0.977418	−	5.54321i	−0.0424563	−	0.240782i
$531$	−80.9163	+	29.4511i	−3.51147	+	1.27807i
$532$	−0.874335	+	1.51439i	−0.0379072	+	0.0656572i
$533$	−11.1958	+	9.39439i	−0.484944	+	0.406916i
$534$	−24.4222	+	20.4926i	−1.05685	+	0.886803i
$535$	11.2627	+	4.09930i	0.486931	+	0.177228i
$536$	−2.31262	+	13.1155i	−0.0998899	+	0.566504i
$537$	5.39704	−	30.6082i	0.232900	−	1.32084i
$538$	−2.81489	−	1.02454i	−0.121359	−	0.0441710i
$539$	−27.6107	+	23.1681i	−1.18928	+	0.997921i
$540$	9.86661	−	8.27907i	0.424591	−	0.356275i
$541$	−9.29178	+	16.0938i	−0.399485	+	0.691928i	−0.993662	−	0.112406i	$-0.964144\pi$
$541$	−9.29178	+	16.0938i	−0.399485	+	0.691928i	0.594177	+	0.804334i	$0.297478\pi$
$542$	12.8089	−	4.66206i	0.550190	−	0.200253i
$543$	−7.92971	−	44.9716i	−0.340296	−	1.92992i
$544$	−0.619942	−	1.07377i	−0.0265798	−	0.0460375i
$545$	9.58878	−	16.6083i	0.410738	−	0.711419i
$546$	9.79095	+	3.56362i	0.419014	+	0.152509i
$547$	−11.4525	−	19.8364i	−0.489675	−	0.848141i	0.510255	−	0.860023i	$-0.329551\pi$
$547$	−11.4525	−	19.8364i	−0.489675	−	0.848141i	−0.999929	+	0.0118820i	$0.996218\pi$
$548$	−7.73342	−	6.48911i	−0.330355	−	0.277201i
$549$	−0.240230			−0.0102528
$550$	−4.49972	−	3.77572i	−0.191869	−	0.160997i
$551$	10.6725	−	3.88449i	0.454665	−	0.165485i
$552$	3.33122	−	18.8923i	0.141786	−	0.804110i
$553$	−1.31153	−	7.43807i	−0.0557720	−	0.316299i
$554$	20.4084			0.867069
$555$	17.3268	−	8.48693i	0.735481	−	0.360250i
$556$	7.87395			0.333930
$557$	−1.49226	−	8.46305i	−0.0632293	−	0.358591i	−0.999963	−	0.00854948i	$-0.997279\pi$
$557$	−1.49226	−	8.46305i	−0.0632293	−	0.358591i	0.936734	−	0.350042i	$-0.113833\pi$
$558$	−7.04055	+	39.9290i	−0.298050	+	1.69033i
$559$	8.64756	−	3.14745i	0.365753	−	0.133123i
$560$	0.712016	+	0.597452i	0.0300882	+	0.0252470i
$561$	−23.1008			−0.975316
$562$	6.39231	+	5.36378i	0.269643	+	0.226258i
$563$	2.72644	+	4.72234i	0.114906	+	0.199023i	0.917742	−	0.397177i	$-0.130010\pi$
$563$	2.72644	+	4.72234i	0.114906	+	0.199023i	−0.802836	+	0.596200i	$0.796677\pi$
$564$	−7.22457	−	2.62953i	−0.304209	−	0.110723i
$565$	−7.48308	+	12.9611i	−0.314815	+	0.545276i
$566$	−12.1538	−	21.0510i	−0.510863	−	0.884841i
$567$	3.17497	+	18.0061i	0.133336	+	0.756187i
$568$	−4.32449	+	1.57399i	−0.181452	+	0.0660430i
$569$	11.8567	−	20.5364i	0.497059	−	0.860931i	−0.502935	−	0.864324i	$-0.667747\pi$
$569$	11.8567	−	20.5364i	0.497059	−	0.860931i	0.999994	+	0.00339283i	$0.00107997\pi$
$570$	−4.57130	+	3.83578i	−0.191471	+	0.160663i
$571$	−7.87554	+	6.60836i	−0.329581	+	0.276551i	−0.792529	−	0.609834i	$-0.791236\pi$
$571$	−7.87554	+	6.60836i	−0.329581	+	0.276551i	0.462948	+	0.886385i	$0.346792\pi$
$572$	−19.5077	−	7.10024i	−0.815660	−	0.296876i
$573$	−6.53709	+	37.0737i	−0.273091	+	1.54878i
$574$	0.667449	−	3.78529i	0.0278588	−	0.157995i
$575$	5.68336	+	2.06857i	0.237013	+	0.0862655i
$576$	5.40880	−	4.53853i	0.225367	−	0.189105i
$577$	34.1057	−	28.6181i	1.41984	−	1.19139i	0.468413	−	0.883510i	$-0.344826\pi$
$577$	34.1057	−	28.6181i	1.41984	−	1.19139i	0.951426	−	0.307877i	$-0.0996185\pi$
$578$	−7.73134	+	13.3911i	−0.321582	+	0.556996i
$579$	−16.7870	+	6.10998i	−0.697646	+	0.253922i
$580$	−1.04829	−	5.94513i	−0.0435277	−	0.246858i
$581$	−2.69494	−	4.66778i	−0.111805	−	0.193652i
$582$	17.2464	−	29.8717i	0.714888	−	1.23822i
$583$	−31.0690	−	11.3082i	−1.28675	−	0.468338i
$584$	−7.72202	−	13.3749i	−0.319540	−	0.553459i
$585$	19.1157	+	16.0400i	0.790338	+	0.663172i
$586$	18.1844			0.751192
$587$	0.980857	+	0.823037i	0.0404843	+	0.0339704i	0.662805	−	0.748792i	$-0.269366\pi$
$587$	0.980857	+	0.823037i	0.0404843	+	0.0339704i	−0.622321	+	0.782762i	$0.713810\pi$
$588$	18.2890	−	6.65667i	0.754228	−	0.274516i
$589$	1.87599	−	10.6393i	0.0772990	−	0.438384i
$590$	−2.11774	−	12.0103i	−0.0871861	−	0.494457i
$591$	−7.89678			−0.324830
$592$	5.46266	−	2.67569i	0.224514	−	0.109970i
$593$	−27.5358			−1.13076			−0.565380	−	0.824830i	$-0.691271\pi$
$593$	−27.5358			−1.13076			−0.565380	+	0.824830i	$0.691271\pi$
$594$	−13.1376	−	74.5071i	−0.539043	−	3.05706i
$595$	−0.200118	+	1.13493i	−0.00820405	+	0.0465275i
$596$	−20.5955	+	7.49617i	−0.843626	+	0.307055i
$597$	14.8442	+	12.4557i	0.607532	+	0.509780i
$598$	21.3751			0.874094
$599$	1.27885	+	1.07309i	0.0522526	+	0.0438451i	0.668540	−	0.743676i	$-0.266920\pi$
$599$	1.27885	+	1.07309i	0.0522526	+	0.0438451i	−0.616287	+	0.787521i	$0.711364\pi$
$600$	1.58593	+	2.74691i	0.0647453	+	0.112142i
$601$	15.3198	+	5.57596i	0.624909	+	0.227448i	0.635014	−	0.772501i	$-0.280994\pi$
$601$	15.3198	+	5.57596i	0.624909	+	0.227448i	−0.0101050	+	0.999949i	$0.503217\pi$
$602$	−1.21011	+	2.09597i	−0.0493203	+	0.0854253i
$603$	−47.0166	−	81.4351i	−1.91466	−	3.31630i
$604$	−3.16465	−	17.9476i	−0.128768	−	0.730279i
$605$	−22.0861	+	8.03869i	−0.897928	+	0.326819i
$606$	2.42244	−	4.19579i	0.0984049	−	0.170442i
$607$	9.42753	−	7.91064i	0.382652	−	0.321083i	−0.431091	−	0.902309i	$-0.641871\pi$
$607$	9.42753	−	7.91064i	0.382652	−	0.321083i	0.813742	+	0.581226i	$0.197427\pi$
$608$	−1.44121	+	1.20931i	−0.0584486	+	0.0490442i
$609$	16.7242	+	6.08711i	0.677699	+	0.246662i
$610$	0.00590813	−	0.0335067i	0.000239213	−	0.00135665i
$611$	1.48755	−	8.43632i	0.0601799	−	0.341297i
$612$	8.22648	+	2.99419i	0.332536	+	0.121033i
$613$	2.87289	−	2.41064i	0.116035	−	0.0973649i	−0.582924	−	0.812527i	$-0.698091\pi$
$613$	2.87289	−	2.41064i	0.116035	−	0.0973649i	0.698959	+	0.715162i	$0.253647\pi$
$614$	23.1725	−	19.4440i	0.935166	−	0.784698i
$615$	6.55837	−	11.3594i	0.264459	−	0.458056i
$616$	5.13043	−	1.86732i	0.206711	−	0.0752366i
$617$	−2.59360	−	14.7091i	−0.104415	−	0.592164i	−0.991453	−	0.130468i	$-0.958352\pi$
$617$	−2.59360	−	14.7091i	−0.104415	−	0.592164i	0.887038	−	0.461696i	$-0.152759\pi$
$618$	−30.1405	−	52.2049i	−1.21243	−	2.09999i
$619$	4.63636	−	8.03041i	0.186351	−	0.322769i	−0.757680	−	0.652626i	$-0.773667\pi$
$619$	4.63636	−	8.03041i	0.186351	−	0.322769i	0.944031	+	0.329857i	$0.107001\pi$
$620$	−5.39604	−	1.96400i	−0.216710	−	0.0788760i
$621$	38.9497	+	67.4628i	1.56300	+	2.70719i
$622$	2.34617	+	1.96867i	0.0940730	+	0.0789366i
$623$	9.34226			0.374290
$624$	8.58731	+	7.20561i	0.343768	+	0.288455i
$625$	−0.939693	+	0.342020i	−0.0375877	+	0.0136808i
$626$	5.65978	−	32.0982i	0.226210	−	1.28290i
$627$	6.08679	+	34.5199i	0.243083	+	1.37859i
$628$	17.7580			0.708620
$629$	6.25961	+	4.20687i	0.249587	+	0.167739i
$630$	−6.56271			−0.261465
$631$	−3.13696	−	17.7906i	−0.124880	−	0.708231i	−0.981379	−	0.192082i	$-0.938476\pi$
$631$	−3.13696	−	17.7906i	−0.124880	−	0.708231i	0.856499	−	0.516149i	$-0.172635\pi$
$632$	1.41105	−	8.00248i	0.0561287	−	0.318321i
$633$	−61.1104	+	22.2424i	−2.42892	+	0.884054i
$634$	−0.228698	−	0.191901i	−0.00908277	−	0.00762135i
$635$	−9.11047			−0.361538
$636$	13.6766	+	11.4760i	0.542312	+	0.455054i
$637$	10.8430	+	18.7807i	0.429617	+	0.744118i
$638$	−33.3217	−	12.1281i	−1.31922	−	0.480157i
$639$	16.2468	−	28.1402i	0.642712	−	1.11321i
$640$	0.500000	+	0.866025i	0.0197642	+	0.0342327i
$641$	−4.21755	−	23.9189i	−0.166583	−	0.944739i	−0.947417	−	0.320001i	$-0.896317\pi$
$641$	−4.21755	−	23.9189i	−0.166583	−	0.944739i	0.780834	−	0.624738i	$-0.214794\pi$
$642$	−35.7238	+	13.0024i	−1.40991	+	0.513164i
$643$	−0.318847	+	0.552260i	−0.0125741	+	0.0217790i	−0.872244	−	0.489071i	$-0.837336\pi$
$643$	−0.318847	+	0.552260i	−0.0125741	+	0.0217790i	0.859670	+	0.510850i	$0.170669\pi$
$644$	−4.30635	+	3.61346i	−0.169694	+	0.142390i
$645$	−6.32683	+	5.30884i	−0.249119	+	0.209035i
$646$	−2.19199	−	0.797819i	−0.0862427	−	0.0313898i
$647$	−4.42275	+	25.0826i	−0.173876	+	0.986100i	0.765557	+	0.643368i	$0.222463\pi$
$647$	−4.42275	+	25.0826i	−0.173876	+	0.986100i	−0.939433	+	0.342732i	$0.888648\pi$
$648$	−3.41589	+	19.3725i	−0.134189	+	0.761022i
$649$	−67.3164	−	24.5012i	−2.64240	−	0.961755i
$650$	−2.70734	+	2.27173i	−0.106191	+	0.0891046i
$651$	12.9686	−	10.8819i	0.508279	−	0.426497i
$652$	−0.690964	+	1.19678i	−0.0270602	+	0.0468697i
$653$	33.0617	−	12.0335i	1.29380	−	0.470906i	0.398830	−	0.917025i	$-0.369416\pi$
$653$	33.0617	−	12.0335i	1.29380	−	0.470906i	0.894974	+	0.446119i	$0.147194\pi$
$654$	10.5628	+	59.9044i	0.413037	+	2.34245i
$655$	−3.50874	−	6.07732i	−0.137098	−	0.237460i
$656$	2.06767	−	3.58131i	0.0807290	−	0.139827i
$657$	102.469	+	37.2958i	3.99771	+	1.45505i
$658$	1.12647	+	1.95110i	0.0439142	+	0.0760617i
$659$	29.0378	+	24.3656i	1.13115	+	0.949148i	0.999114	−	0.0420971i	$-0.0134039\pi$
$659$	29.0378	+	24.3656i	1.13115	+	0.949148i	0.132037	+	0.991245i	$0.457848\pi$
$660$	18.6314			0.725227
$661$	8.48532	+	7.12003i	0.330041	+	0.276937i	0.792717	−	0.609590i	$-0.208666\pi$
$661$	8.48532	+	7.12003i	0.330041	+	0.276937i	−0.462676	+	0.886528i	$0.653111\pi$
$662$	−32.2026	+	11.7208i	−1.25159	+	0.455542i
$663$	−2.41354	+	13.6879i	−0.0937341	+	0.531593i
$664$	−1.00696	−	5.71078i	−0.0390778	−	0.221621i
$665$	1.74867			0.0678105
$666$	−17.4028	+	39.2647i	−0.674343	+	1.52148i
$667$	36.5115			1.41373
$668$	0.636538	+	3.60999i	0.0246284	+	0.139675i
$669$	−3.77613	+	21.4155i	−0.145994	+	0.827971i
$670$	12.5147	−	4.55497i	0.483484	−	0.175974i
$671$	−0.153097	−	0.128463i	−0.00591023	−	0.00495928i
$672$	−2.94815			−0.113727
$673$	1.98313	+	1.66404i	0.0764439	+	0.0641440i	0.680209	−	0.733018i	$-0.261889\pi$
$673$	1.98313	+	1.66404i	0.0764439	+	0.0641440i	−0.603765	+	0.797162i	$0.706333\pi$
$674$	7.35488	+	12.7390i	0.283299	+	0.490689i
$675$	−12.1032	−	4.40520i	−0.465852	−	0.169556i
$676$	0.254765	−	0.441265i	0.00979864	−	0.0169717i
$677$	−15.3982	−	26.6705i	−0.591801	−	1.02503i	−0.993990	−	0.109473i	$-0.965084\pi$
$677$	−15.3982	−	26.6705i	−0.591801	−	1.02503i	0.402188	−	0.915557i	$-0.368250\pi$
$678$	−8.24317	−	46.7494i	−0.316577	−	1.79540i
$679$	−9.49811	+	3.45703i	−0.364504	+	0.132669i
$680$	−0.619942	+	1.07377i	−0.0237737	+	0.0411772i
$681$	3.70299	−	3.10717i	0.141899	−	0.119067i
$682$	−25.8390	+	21.6815i	−0.989425	+	0.830226i
$683$	−10.0435	−	3.65554i	−0.384305	−	0.139875i	0.142641	−	0.989775i	$-0.454441\pi$
$683$	−10.0435	−	3.65554i	−0.384305	−	0.139875i	−0.526946	+	0.849899i	$0.676663\pi$
$684$	2.30669	−	13.0819i	0.0881986	−	0.500199i
$685$	−1.75302	+	9.94189i	−0.0669796	+	0.379860i
$686$	−11.4733	−	4.17593i	−0.438052	−	0.159438i
$687$	64.1426	−	53.8220i	2.44719	−	2.05344i
$688$	−1.99468	+	1.67373i	−0.0760463	+	0.0638104i
$689$	−9.94648	+	17.2278i	−0.378931	+	0.656327i
$690$	−18.0268	+	6.56123i	−0.686269	+	0.249782i
$691$	−0.635781	−	3.60570i	−0.0241863	−	0.137167i	0.970324	−	0.241810i	$-0.0777411\pi$
$691$	−0.635781	−	3.60570i	−0.0241863	−	0.137167i	−0.994510	+	0.104643i	$0.966630\pi$
$692$	2.79336	+	4.83824i	0.106188	+	0.183922i
$693$	−19.2746	+	33.3846i	−0.732181	+	1.26817i
$694$	−9.71502	−	3.53598i	−0.368777	−	0.134224i
$695$	−3.93698	−	6.81904i	−0.149338	−	0.258661i
$696$	14.6682	+	12.3081i	0.555998	+	0.466538i
$697$	5.12735			0.194212
$698$	−0.300399	−	0.252065i	−0.0113703	−	0.00954079i
$699$	−18.4831	+	6.72728i	−0.699093	+	0.254449i
$700$	0.161401	−	0.915350i	0.00610038	−	0.0345970i
$701$	7.05154	+	39.9913i	0.266333	+	1.51045i	0.765212	+	0.643778i	$0.222634\pi$
$701$	7.05154	+	39.9913i	0.266333	+	1.51045i	−0.498879	+	0.866672i	$0.666255\pi$
$702$	−45.5201			−1.71805
$703$	4.63706	−	10.4623i	0.174890	−	0.394593i
$704$	5.87397			0.221384
$705$	1.33505	+	7.57143i	0.0502808	+	0.285156i
$706$	−2.84693	+	16.1458i	−0.107146	+	0.607653i
$707$	−1.33411	+	0.485575i	−0.0501743	+	0.0182619i
$708$	29.6327	+	24.8648i	1.11366	+	0.934476i
$709$	−10.6557			−0.400184			−0.200092	−	0.979777i	$-0.564124\pi$
$709$	−10.6557			−0.400184			−0.200092	+	0.979777i	$0.564124\pi$
$710$	3.52536	+	2.95813i	0.132304	+	0.111017i
$711$	28.6873	+	49.6879i	1.07586	+	1.86344i
$712$	9.44500	+	3.43770i	0.353966	+	0.128833i
$713$	17.3652	−	30.0773i	0.650330	−	1.12640i
$714$	−1.82768	−	3.16564i	−0.0683993	−	0.118471i
$715$	3.60489	+	20.4443i	0.134815	+	0.764574i
$716$	−9.20784	+	3.35138i	−0.344113	+	0.125247i
$717$	−20.4727	+	35.4597i	−0.764565	+	1.32427i
$718$	−10.9844	+	9.21702i	−0.409935	+	0.343976i
$719$	13.4788	−	11.3101i	0.502675	−	0.421795i	−0.355868	−	0.934536i	$-0.615815\pi$
$719$	13.4788	−	11.3101i	0.502675	−	0.421795i	0.858543	+	0.512742i	$0.171370\pi$
$720$	−6.63488	−	2.41490i	−0.247267	−	0.0899980i
$721$	−3.06742	+	17.3962i	−0.114237	+	0.647868i
$722$	2.68468	−	15.2256i	0.0999136	−	0.566638i
$723$	−14.1496	−	5.15002i	−0.526228	−	0.191531i
$724$	−11.0288	+	9.25423i	−0.409881	+	0.343931i
$725$	−4.62449	+	3.88041i	−0.171749	+	0.144115i
$726$	37.2750	−	64.5622i	1.38340	−	2.39613i
$727$	15.9044	−	5.78873i	0.589861	−	0.214692i	−0.0298070	−	0.999556i	$-0.509489\pi$
$727$	15.9044	−	5.78873i	0.589861	−	0.214692i	0.619668	+	0.784864i	$0.287267\pi$
$728$	−0.570421	−	3.23502i	−0.0211412	−	0.119898i
$729$	−8.16646	−	14.1447i	−0.302462	−	0.523879i
$730$	−7.72202	+	13.3749i	−0.285805	+	0.495028i
$731$	−3.03379	−	1.10421i	−0.112209	−	0.0408406i
$732$	0.0539590	+	0.0934598i	0.00199438	+	0.00345437i
$733$	12.7363	+	10.6871i	0.470427	+	0.394735i	0.846950	−	0.531672i	$-0.178436\pi$
$733$	12.7363	+	10.6871i	0.470427	+	0.394735i	−0.376523	+	0.926407i	$0.622881\pi$
$734$	3.62191			0.133687
$735$	−14.9094	−	12.5104i	−0.549940	−	0.461455i
$736$	−5.68336	+	2.06857i	−0.209491	+	0.0762487i
$737$	13.5843	−	77.0402i	0.500383	−	2.83781i
$738$	5.07025	+	28.7548i	0.186638	+	1.05848i
$739$	33.4455			1.23031			0.615156	−	0.788406i	$-0.289093\pi$
$739$	33.4455			1.23031			0.615156	+	0.788406i	$0.289093\pi$
$740$	−5.04855	−	3.39296i	−0.185588	−	0.124728i
$741$	21.0899			0.774758
$742$	−0.908481	−	5.15225i	−0.0333514	−	0.189145i
$743$	9.17465	−	52.0320i	0.336585	−	1.90887i	−0.0744001	−	0.997228i	$-0.523704\pi$
$743$	9.17465	−	52.0320i	0.336585	−	1.90887i	0.410985	−	0.911642i	$-0.365185\pi$
$744$	17.1155	−	6.22952i	0.627484	−	0.228385i
$745$	16.7896	+	14.0882i	0.615125	+	0.516151i
$746$	20.1739			0.738619
$747$	31.3650	+	26.3184i	1.14759	+	0.962938i
$748$	3.64152	+	6.30730i	0.133147	+	0.230618i
$749$	10.4684	+	3.81018i	0.382507	+	0.139221i
$750$	1.58593	−	2.74691i	0.0579100	−	0.100303i
$751$	9.84853	+	17.0582i	0.359378	+	0.622461i	0.987857	−	0.155365i	$-0.0496555\pi$
$751$	9.84853	+	17.0582i	0.359378	+	0.622461i	−0.628479	+	0.777827i	$0.716322\pi$
$752$	0.420903	+	2.38706i	0.0153488	+	0.0870472i
$753$	64.6254	−	23.5217i	2.35508	−	0.857179i
$754$	−10.6677	+	18.4769i	−0.388493	+	0.672890i
$755$	−13.9608	+	11.7145i	−0.508085	+	0.426334i
$756$	9.17073	−	7.69516i	0.333536	−	0.279870i
$757$	−10.5841	−	3.85229i	−0.384685	−	0.140014i	0.142436	−	0.989804i	$-0.454506\pi$
$757$	−10.5841	−	3.85229i	−0.384685	−	0.140014i	−0.527121	+	0.849790i	$0.676729\pi$
$758$	−1.11358	+	6.31544i	−0.0404471	+	0.229387i
$759$	−19.5675	+	110.973i	−0.710256	+	4.02806i
$760$	1.76790	+	0.643463i	0.0641285	+	0.0233409i
$761$	−16.6674	+	13.9856i	−0.604191	+	0.506977i	−0.892790	−	0.450474i	$-0.851255\pi$
$761$	−16.6674	+	13.9856i	−0.604191	+	0.506977i	0.288599	+	0.957450i	$0.406811\pi$
$762$	22.1365	−	18.5747i	0.801921	−	0.672891i
$763$	8.91249	−	15.4369i	0.322654	−	0.558853i
$764$	11.1529	−	4.05931i	0.403496	−	0.146861i
$765$	−1.52019	−	8.62144i	−0.0549627	−	0.311709i
$766$	9.12514	+	15.8052i	0.329705	+	0.571065i
$767$	−21.5508	+	37.3270i	−0.778153	+	1.34780i
$768$	−2.98057	−	1.08484i	−0.107552	−	0.0391458i
$769$	14.2829	+	24.7388i	0.515056	+	0.892103i	0.999847	+	0.0174730i	$0.00556210\pi$
$769$	14.2829	+	24.7388i	0.515056	+	0.892103i	−0.484792	+	0.874630i	$0.661105\pi$
$770$	−4.18236	−	3.50942i	−0.150722	−	0.126471i
$771$	41.2665			1.48618
$772$	4.31448	+	3.62028i	0.155282	+	0.130297i
$773$	−12.7913	+	4.65565i	−0.460071	+	0.167452i	−0.561649	−	0.827376i	$-0.689833\pi$
$773$	−12.7913	+	4.65565i	−0.460071	+	0.167452i	0.101579	+	0.994828i	$0.467611\pi$
$774$	3.19254	−	18.1058i	0.114753	−	0.650799i
$775$	0.997147	+	5.65510i	0.0358186	+	0.203137i
$776$	−10.8747			−0.390377
$777$	16.1047	−	7.88835i	0.577755	−	0.282993i
$778$	1.85551			0.0665231
$779$	−1.35100	−	7.66188i	−0.0484044	−	0.274515i
$780$	1.94659	−	11.0396i	0.0696990	−	0.395282i
$781$	25.4020	−	9.24556i	0.908953	−	0.330832i
$782$	−5.74453	−	4.82023i	−0.205424	−	0.172371i
$783$	−77.7542			−2.77871
$784$	−4.70051	−	3.94420i	−0.167875	−	0.140864i
$785$	−8.87899	−	15.3789i	−0.316905	−	0.548895i
$786$	20.9161	+	7.61284i	0.746053	+	0.271541i
$787$	−17.2076	+	29.8045i	−0.613386	+	1.06242i	0.377279	+	0.926100i	$0.376860\pi$
$787$	−17.2076	+	29.8045i	−0.613386	+	1.06242i	−0.990665	+	0.136316i	$0.956474\pi$
$788$	1.24482	+	2.15609i	0.0443448	+	0.0768075i
$789$	−14.4440	−	81.9161i	−0.514221	−	2.91629i
$790$	−7.63587	+	2.77923i	−0.271672	+	0.0988806i
$791$	−6.95530	+	12.0469i	−0.247302	+	0.428340i
$792$	−31.7712	+	26.6592i	−1.12894	+	0.947293i
$793$	−0.0921135	+	0.0772924i	−0.00327105	+	0.00274473i
$794$	2.68468	+	0.977144i	0.0952758	+	0.0346775i
$795$	3.10023	−	17.5823i	0.109954	−	0.623579i
$796$	1.06086	−	6.01644i	0.0376012	−	0.213247i
$797$	−24.9639	−	9.08613i	−0.884268	−	0.321847i	−0.140337	−	0.990104i	$-0.544819\pi$
$797$	−24.9639	−	9.08613i	−0.884268	−	0.321847i	−0.743931	+	0.668257i	$0.767041\pi$
$798$	−4.24889	+	3.56524i	−0.150409	+	0.126208i
$799$	−2.30222	+	1.93179i	−0.0814468	+	0.0683419i
$800$	0.500000	−	0.866025i	0.0176777	−	0.0306186i
$801$	−66.6883	+	24.2725i	−2.35631	+	0.857628i
$802$	1.90182	+	10.7858i	0.0671557	+	0.380859i
$803$	45.3589	+	78.5640i	1.60068	+	2.77246i
$804$	−21.1212	+	36.5829i	−0.744886	+	1.29018i
$805$	5.28252	+	1.92268i	0.186184	+	0.0677656i
$806$	10.1473	+	17.5756i	0.357422	+	0.619073i
$807$	−7.27854	−	6.10742i	−0.256217	−	0.214991i
$808$	−1.52746			−0.0537358
$809$	20.6099	+	17.2938i	0.724606	+	0.608017i	0.928655	−	0.370944i	$-0.120966\pi$
$809$	20.6099	+	17.2938i	0.724606	+	0.608017i	−0.204049	+	0.978961i	$0.565410\pi$
$810$	18.4850	−	6.72798i	0.649496	−	0.236397i
$811$	1.33347	−	7.56249i	0.0468245	−	0.265555i	−0.952404	−	0.304840i	$-0.901397\pi$
$811$	1.33347	−	7.56249i	0.0468245	−	0.265555i	0.999228	+	0.0392851i	$0.0125081\pi$
$812$	−0.974352	−	5.52583i	−0.0341931	−	0.193918i
$813$	43.2355			1.51633
$814$	−32.0875	+	15.7170i	−1.12467	+	0.550879i
$815$	1.38193			0.0484068
$816$	−0.682913	−	3.87299i	−0.0239067	−	0.135582i
$817$	−0.850669	+	4.82438i	−0.0297611	+	0.168784i
$818$	10.6597	−	3.87981i	0.372708	−	0.135654i
$819$	17.7675	+	14.9087i	0.620847	+	0.520953i
$820$	−4.13534			−0.144413
$821$	−42.4692	−	35.6359i	−1.48218	−	1.24370i	−0.903813	−	0.427928i	$-0.859244\pi$
$821$	−42.4692	−	35.6359i	−1.48218	−	1.24370i	−0.578372	−	0.815773i	$-0.696312\pi$
$822$	−16.0104	−	27.7308i	−0.558426	−	0.967222i
$823$	28.9935	+	10.5528i	1.01065	+	0.367846i	0.793682	−	0.608332i	$-0.208161\pi$
$823$	28.9935	+	10.5528i	1.01065	+	0.367846i	0.216967	+	0.976179i	$0.430383\pi$
$824$	−9.50248	+	16.4588i	−0.331035	+	0.573369i
$825$	−9.31571	−	16.1353i	−0.324331	−	0.561758i
$826$	−1.96838	−	11.1632i	−0.0684887	−	0.388419i
$827$	−36.4242	+	13.2573i	−1.26659	+	0.461002i	−0.885976	−	0.463731i	$-0.846511\pi$
$827$	−36.4242	+	13.2573i	−1.26659	+	0.461002i	−0.380617	+	0.924733i	$0.624288\pi$
$828$	21.3519	−	36.9826i	0.742030	−	1.28523i
$829$	19.6422	−	16.4818i	0.682202	−	0.572435i	−0.234447	−	0.972129i	$-0.575328\pi$
$829$	19.6422	−	16.4818i	0.682202	−	0.572435i	0.916649	+	0.399694i	$0.130884\pi$
$830$	−4.44220	+	3.72745i	−0.154191	+	0.129382i
$831$	60.8287	+	22.1398i	2.11012	+	0.768022i
$832$	0.613705	−	3.48049i	0.0212764	−	0.120664i
$833$	1.32112	−	7.49245i	0.0457741	−	0.259598i
$834$	23.4689	+	8.54198i	0.812661	+	0.295784i
$835$	2.80807	−	2.35625i	0.0971774	−	0.0815415i
$836$	8.46560	−	7.10348i	0.292789	−	0.245679i
$837$	−36.9805	+	64.0522i	−1.27823	+	2.21397i
$838$	4.15945	−	1.51392i	0.143686	−	0.0522974i
$839$	−3.30518	−	18.7446i	−0.114107	−	0.647135i	−0.987188	−	0.159560i	$-0.948993\pi$
$839$	−3.30518	−	18.7446i	−0.114107	−	0.647135i	0.873081	−	0.487575i	$-0.162119\pi$
$840$	1.47408	+	2.55317i	0.0508604	+	0.0880929i
$841$	−3.72174	+	6.44624i	−0.128336	+	0.222284i
$842$	5.03650	+	1.83314i	0.173569	+	0.0631740i
$843$	13.2339	+	22.9218i	0.455800	+	0.789468i
$844$	15.7061	+	13.1790i	0.540627	+	0.453640i
$845$	−0.509529			−0.0175283
$846$	−13.1103	−	11.0009i	−0.450742	−	0.378218i
$847$	−20.5284	+	7.47173i	−0.705364	+	0.256732i
$848$	0.977418	−	5.54321i	0.0335647	−	0.190355i
$849$	−13.3883	−	75.9291i	−0.459487	−	2.60588i
$850$	1.23988			0.0425277
$851$	25.5114	−	26.5069i	0.874519	−	0.908643i
$852$	−14.5970			−0.500085
$853$	−4.08504	−	23.1674i	−0.139869	−	0.793236i	−0.971345	−	0.237675i	$-0.923615\pi$
$853$	−4.08504	−	23.1674i	−0.139869	−	0.793236i	0.831476	−	0.555561i	$-0.187497\pi$
$854$	0.00549144	−	0.0311435i	0.000187913	−	0.00106571i
$855$	−12.4826	+	4.54330i	−0.426896	+	0.155377i
$856$	9.18147	+	7.70417i	0.313816	+	0.263323i
$857$	9.43756			0.322381			0.161190	−	0.986923i	$-0.448467\pi$
$857$	9.43756			0.322381			0.161190	+	0.986923i	$0.448467\pi$
$858$	−50.4416	−	42.3256i	−1.72205	−	1.44497i
$859$	7.05490	+	12.2194i	0.240710	+	0.416922i	0.960917	−	0.276837i	$-0.0892864\pi$
$859$	7.05490	+	12.2194i	0.240710	+	0.416922i	−0.720207	+	0.693760i	$0.755953\pi$
$860$	2.44683	+	0.890574i	0.0834363	+	0.0303683i
$861$	6.09581	−	10.5583i	0.207745	−	0.359824i
$862$	11.1995	+	19.3982i	0.381458	+	0.660705i
$863$	−2.55733	−	14.5034i	−0.0870526	−	0.493700i	−0.996895	−	0.0787454i	$-0.974909\pi$
$863$	−2.55733	−	14.5034i	−0.0870526	−	0.493700i	0.909842	−	0.414955i	$-0.136203\pi$
$864$	12.1032	−	4.40520i	0.411759	−	0.149868i
$865$	2.79336	−	4.83824i	0.0949771	−	0.164505i
$866$	19.4712	−	16.3383i	0.661660	−	0.555199i
$867$	−37.5710	+	31.5258i	−1.27598	+	1.07067i
$868$	−5.01546	−	1.82548i	−0.170236	−	0.0619608i
$869$	−8.28848	+	47.0063i	−0.281168	+	1.59458i
$870$	3.32502	−	18.8571i	0.112729	−	0.639316i
$871$	−44.2292	−	16.0981i	−1.49865	−	0.545464i
$872$	14.6909	−	12.3271i	0.497495	−	0.417448i
$873$	58.8189	−	49.3549i	1.99072	−	1.67041i
$874$	−5.68933	+	9.85421i	−0.192445	+	0.333324i
$875$	−0.873417	+	0.317898i	−0.0295269	+	0.0107469i
$876$	−8.50639	−	48.2421i	−0.287404	−	1.62995i
$877$	15.3851	+	26.6478i	0.519518	+	0.899832i	0.999743	+	0.0226861i	$0.00722182\pi$
$877$	15.3851	+	26.6478i	0.519518	+	0.899832i	−0.480225	+	0.877146i	$0.659445\pi$
$878$	2.96694	−	5.13889i	0.100129	−	0.173429i
$879$	54.2000	+	19.7272i	1.82812	+	0.665381i
$880$	−2.93699	−	5.08701i	−0.0990058	−	0.171483i
$881$	11.5357	+	9.67961i	0.388648	+	0.326114i	0.816086	−	0.577930i	$-0.196139\pi$
$881$	11.5357	+	9.67961i	0.388648	+	0.326114i	−0.427438	+	0.904045i	$0.640584\pi$
$882$	43.3250			1.45883
$883$	−34.2156	−	28.7103i	−1.15145	−	0.966178i	−0.151694	−	0.988428i	$-0.548473\pi$
$883$	−34.2156	−	28.7103i	−1.15145	−	0.966178i	−0.999752	+	0.0222492i	$0.992917\pi$
$884$	4.11771	−	1.49873i	0.138494	−	0.0504076i
$885$	6.71718	−	38.0950i	0.225796	−	1.28055i
$886$	−1.30706	−	7.41269i	−0.0439115	−	0.249034i
$887$	5.90871			0.198395			0.0991976	−	0.995068i	$-0.468372\pi$
$887$	5.90871			0.198395			0.0991976	+	0.995068i	$0.468372\pi$
$888$	19.1846	−	2.04899i	0.643792	−	0.0687597i
$889$	−8.46792			−0.284005
$890$	−1.74537	−	9.89846i	−0.0585048	−	0.331797i
$891$	20.0648	−	113.793i	0.672197	−	3.81222i
$892$	6.44241	−	2.34485i	0.215708	−	0.0785113i
$893$	3.49332	+	2.93124i	0.116899	+	0.0980903i
$894$	−69.5187			−2.32505
$895$	7.50630	+	6.29853i	0.250908	+	0.210537i
$896$	0.464735	+	0.804945i	0.0155257	+	0.0268913i
$897$	63.7101	+	23.1886i	2.12722	+	0.774245i
$898$	6.95803	−	12.0517i	0.232193	−	0.402169i
$899$	17.3328	+	30.0213i	0.578082	+	1.00127i
$900$	1.22608	+	6.95343i	0.0408692	+	0.231781i
$901$	6.55808	−	2.38695i	0.218481	−	0.0795207i
$902$	−12.1455	+	21.0365i	−0.404399	+	0.700440i
$903$	−5.88061	+	4.93442i	−0.195694	+	0.164207i
$904$	−11.4647	+	9.62006i	−0.381312	+	0.319958i
$905$	13.5288	+	4.92407i	0.449712	+	0.163682i
$906$	10.0378	−	56.9274i	0.333485	−	1.89129i
$907$	−0.244266	+	1.38530i	−0.00811073	+	0.0459982i	−0.988595	−	0.150602i	$-0.951879\pi$
$907$	−0.244266	+	1.38530i	−0.00811073	+	0.0459982i	0.980484	+	0.196600i	$0.0629900\pi$
$908$	−1.43209	−	0.521238i	−0.0475255	−	0.0172979i
$909$	8.26172	−	6.93240i	0.274024	−	0.229933i
$910$	−2.51640	+	2.11151i	−0.0834178	+	0.0699958i
$911$	17.9728	−	31.1298i	0.595465	−	1.03138i	−0.398016	−	0.917379i	$-0.630301\pi$
$911$	17.9728	−	31.1298i	0.595465	−	1.03138i	0.993481	−	0.113998i	$-0.0363656\pi$
$912$	−5.60753	+	2.04097i	−0.185684	+	0.0675834i
$913$	5.91488	+	33.5450i	0.195754	+	1.11018i
$914$	19.9349	+	34.5282i	0.659386	+	1.14209i
$915$	0.0539590	−	0.0934598i	0.00178383	−	0.00308968i
$916$	−24.8064	−	9.02881i	−0.819628	−	0.298320i
$917$	−3.26127	−	5.64869i	−0.107697	−	0.186536i
$918$	12.2335	+	10.2651i	0.403764	+	0.338798i
$919$	−52.3006			−1.72524			−0.862618	−	0.505856i	$-0.831177\pi$
$919$	−52.3006			−1.72524			−0.862618	+	0.505856i	$0.831177\pi$
$920$	4.63312	+	3.88765i	0.152749	+	0.128172i
$921$	90.1610	−	32.8159i	2.97091	−	1.08132i
$922$	−1.06053	+	6.01454i	−0.0349266	+	0.198078i
$923$	−2.82429	−	16.0173i	−0.0929626	−	0.527217i
$924$	17.3174			0.569699
$925$	−0.414110	+	6.06865i	−0.0136159	+	0.199536i
$926$	3.14967			0.103504
$927$	−23.3015	−	132.150i	−0.765323	−	4.34036i
$928$	1.04829	−	5.94513i	0.0344117	−	0.195158i
$929$	−52.9933	+	19.2880i	−1.73865	+	0.632819i	−0.999185	−	0.0403707i	$-0.987146\pi$
$929$	−52.9933	+	19.2880i	−1.73865	+	0.632819i	−0.739470	+	0.673189i	$0.764924\pi$
$930$	−13.9527	−	11.7077i	−0.457526	−	0.383910i
$931$	−11.5442			−0.378345
$932$	4.75038	+	3.98604i	0.155604	+	0.130567i
$933$	4.85725	+	8.41300i	0.159019	+	0.275429i
$934$	−20.8803	−	7.59981i	−0.683225	−	0.248674i
$935$	3.64152	−	6.30730i	0.119090	−	0.206271i
$936$	12.4769	+	21.6106i	0.407820	+	0.706365i
$937$	5.40660	+	30.6624i	0.176626	+	1.00170i	0.936250	+	0.351334i	$0.114272\pi$
$937$	5.40660	+	30.6624i	0.176626	+	1.00170i	−0.759624	+	0.650362i	$0.774617\pi$
$938$	11.6320	−	4.23371i	0.379799	−	0.138236i
$939$	51.6908	−	89.5311i	1.68686	−	2.92174i
$940$	1.85680	−	1.55804i	0.0605623	−	0.0508178i
$941$	−8.29402	+	6.95951i	−0.270377	+	0.226873i	−0.767888	−	0.640585i	$-0.778692\pi$
$941$	−8.29402	+	6.95951i	−0.270377	+	0.226873i	0.497510	+	0.867458i	$0.334248\pi$
$942$	52.9289	+	19.2646i	1.72452	+	0.627673i
$943$	4.34312	−	24.6310i	0.141431	−	0.802097i
$944$	2.11774	−	12.0103i	0.0689267	−	0.390903i
$945$	−11.2496	−	4.09451i	−0.365948	−	0.133194i
$946$	11.7167	−	9.83146i	0.380942	−	0.319648i
$947$	−38.7887	+	32.5476i	−1.26046	+	1.05765i	−0.264830	+	0.964295i	$0.585316\pi$
$947$	−38.7887	+	32.5476i	−1.26046	+	1.05765i	−0.995633	+	0.0933590i	$0.970240\pi$
$948$	12.8872	−	22.3212i	0.418555	−	0.724959i
$949$	51.2904	−	18.6682i	1.66496	−	0.605995i
$950$	−0.326695	−	1.85278i	−0.0105994	−	0.0601121i
$951$	−0.473471	−	0.820075i	−0.0153533	−	0.0265928i
$952$	−0.576218	+	0.998039i	−0.0186753	+	0.0323466i
$953$	18.3065	+	6.66303i	0.593007	+	0.215837i	0.621051	−	0.783770i	$-0.286706\pi$
$953$	18.3065	+	6.66303i	0.593007	+	0.215837i	−0.0280447	+	0.999607i	$0.508928\pi$
$954$	19.8713	+	34.4182i	0.643359	+	1.11433i
$955$	−9.09190	−	7.62901i	−0.294207	−	0.246869i
$956$	12.9089			0.417505
$957$	−86.1608	−	72.2975i	−2.78518	−	2.33705i
$958$	−14.5759	+	5.30519i	−0.470926	+	0.171403i
$959$	−1.62938	+	9.24070i	−0.0526156	+	0.298398i
$960$	0.550788	+	3.12367i	0.0177766	+	0.100816i
$961$	1.97451			0.0636938
$962$	5.96028	+	20.6548i	0.192167	+	0.665939i
$963$	−84.6264			−2.72705
$964$	0.824354	+	4.67514i	0.0265507	+	0.150576i
$965$	0.978013	−	5.54659i	0.0314834	−	0.178551i
$966$	−16.7554	+	6.09847i	−0.539096	+	0.196215i
$967$	31.5089	+	26.4391i	1.01326	+	0.850223i	0.988765	−	0.149477i	$-0.0477590\pi$
$967$	31.5089	+	26.4391i	1.01326	+	0.850223i	0.0244912	+	0.999700i	$0.492203\pi$
$968$	−23.5036			−0.755433
$969$	−5.66788	−	4.75592i	−0.182079	−	0.152782i
$970$	5.43733	+	9.41773i	0.174582	+	0.302385i
$971$	−20.8931	−	7.60447i	−0.670492	−	0.244039i	−0.0157321	−	0.999876i	$-0.505008\pi$
$971$	−20.8931	−	7.60447i	−0.670492	−	0.244039i	−0.654760	+	0.755837i	$0.727230\pi$
$972$	−11.8774	+	20.5723i	−0.380968	+	0.659855i
$973$	−3.65930	−	6.33810i	−0.117312	−	0.203190i
$974$	−2.50607	−	14.2126i	−0.0802997	−	0.455402i
$975$	−10.5339	+	3.83403i	−0.337355	+	0.122787i
$976$	0.0170118	−	0.0294653i	0.000544534	−	0.000943161i
$977$	17.3715	−	14.5764i	0.555763	−	0.466341i	−0.321124	−	0.947037i	$-0.604061\pi$
$977$	17.3715	−	14.5764i	0.555763	−	0.466341i	0.876887	+	0.480696i	$0.159616\pi$
$978$	−3.35779	+	2.81752i	−0.107370	+	0.0900943i
$979$	−55.4797	−	20.1930i	−1.77314	−	0.645370i
$980$	−1.06552	+	6.04286i	−0.0340368	+	0.193032i
$981$	−23.5132	+	133.350i	−0.750717	+	4.25753i
$982$	−28.7741	−	10.4729i	−0.918217	−	0.334204i
$983$	−10.3678	+	8.69965i	−0.330683	+	0.277476i	−0.792978	−	0.609250i	$-0.791470\pi$
$983$	−10.3678	+	8.69965i	−0.330683	+	0.277476i	0.462295	+	0.886726i	$0.347026\pi$
$984$	10.0480	−	8.43127i	0.320319	−	0.268779i
$985$	1.24482	−	2.15609i	0.0396632	−	0.0686987i
$986$	7.03358	−	2.56001i	0.223995	−	0.0815275i
$987$	1.24089	+	7.03742i	0.0394979	+	0.224004i
$988$	−3.32454	−	5.75827i	−0.105768	−	0.183195i
$989$	−7.87423	+	13.6386i	−0.250386	+	0.433681i
$990$	38.9731	+	14.1851i	1.23865	+	0.450831i
$991$	0.102021	+	0.176706i	0.00324082	+	0.00561326i	0.867641	−	0.497191i	$-0.165635\pi$
$991$	0.102021	+	0.176706i	0.00324082	+	0.00561326i	−0.864400	+	0.502804i	$0.832302\pi$
$992$	−4.39889	−	3.69111i	−0.139665	−	0.117193i
$993$	−108.697			−3.44941
$994$	3.27672	+	2.74949i	0.103931	+	0.0872086i
$995$	−5.74082	+	2.08949i	−0.181996	+	0.0662412i
$996$	3.19395	−	18.1138i	0.101204	−	0.573957i
$997$	3.55041	+	20.1354i	0.112443	+	0.637693i	0.987985	+	0.154552i	$0.0493933\pi$
$997$	3.55041	+	20.1354i	0.112443	+	0.637693i	−0.875542	+	0.483142i	$0.839496\pi$
$998$	−17.8520			−0.565095
$999$	−54.3287	+	56.4486i	−1.71888	+	1.78595i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.c.231.4	yes	24
37.33	even	9	inner	370.2.o.c.181.4	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.c.181.4	✓	24	37.33	even	9	inner
370.2.o.c.231.4	yes	24	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.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 - 0.984808i) q^{2} +(0.550788 - 3.12367i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} -3.17186 q^{6} +(0.712016 + 0.597452i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-6.63488 - 2.41490i) q^{9} +O(q^{10})\)	\(q+(-0.173648 - 0.984808i) q^{2} +(0.550788 - 3.12367i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} -3.17186 q^{6} +(0.712016 + 0.597452i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-6.63488 - 2.41490i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-2.93699 - 5.08701i) q^{11} +(0.550788 + 3.12367i) q^{12} +(-3.32105 + 1.20876i) q^{13} +(0.464735 - 0.804945i) q^{14} +(2.42979 - 2.03883i) q^{15} +(0.766044 - 0.642788i) q^{16} +(1.16511 + 0.424065i) q^{17} +(-1.22608 + 6.95343i) q^{18} +(0.326695 - 1.85278i) q^{19} +(-0.939693 - 0.342020i) q^{20} +(2.25842 - 1.89504i) q^{21} +(-4.49972 + 3.77572i) q^{22} +(3.02405 - 5.23781i) q^{23} +(2.98057 - 1.08484i) q^{24} +(0.173648 + 0.984808i) q^{25} +(1.76709 + 3.06069i) q^{26} +(-6.43997 + 11.1544i) q^{27} +(-0.873417 - 0.317898i) q^{28} +(3.01842 + 5.22806i) q^{29} +(-2.42979 - 2.03883i) q^{30} +5.74234 q^{31} +(-0.766044 - 0.642788i) q^{32} +(-17.5078 + 6.37232i) q^{33} +(0.215304 - 1.22105i) q^{34} +(0.161401 + 0.915350i) q^{35} +7.06069 q^{36} +(5.90454 + 1.46163i) q^{37} -1.88136 q^{38} +(1.94659 + 11.0396i) q^{39} +(-0.173648 + 0.984808i) q^{40} +(3.88595 - 1.41437i) q^{41} +(-2.25842 - 1.89504i) q^{42} -2.60386 q^{43} +(4.49972 + 3.77572i) q^{44} +(-3.53035 - 6.11474i) q^{45} +(-5.68336 - 2.06857i) q^{46} +(-1.21194 + 2.09915i) q^{47} +(-1.58593 - 2.74691i) q^{48} +(-1.06552 - 6.04286i) q^{49} +(0.939693 - 0.342020i) q^{50} +(1.96637 - 3.40585i) q^{51} +(2.70734 - 2.27173i) q^{52} +(4.31185 - 3.61807i) q^{53} +(12.1032 + 4.40520i) q^{54} +(1.02000 - 5.78473i) q^{55} +(-0.161401 + 0.915350i) q^{56} +(-5.60753 - 2.04097i) q^{57} +(4.62449 - 3.88041i) q^{58} +(9.34237 - 7.83918i) q^{59} +(-1.58593 + 2.74691i) q^{60} +(0.0319717 - 0.0116368i) q^{61} +(-0.997147 - 5.65510i) q^{62} +(-3.28135 - 5.68347i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-3.32105 - 1.20876i) q^{65} +(9.31571 + 16.1353i) q^{66} +(10.2021 + 8.56054i) q^{67} -1.23988 q^{68} +(-14.6956 - 12.3311i) q^{69} +(0.873417 - 0.317898i) q^{70} +(-0.799134 + 4.53211i) q^{71} +(-1.22608 - 6.95343i) q^{72} -15.4440 q^{73} +(0.414110 - 6.06865i) q^{74} +3.17186 q^{75} +(0.326695 + 1.85278i) q^{76} +(0.948065 - 5.37674i) q^{77} +(10.5339 - 3.83403i) q^{78} +(-6.22482 - 5.22325i) q^{79} +1.00000 q^{80} +(15.0691 + 12.6445i) q^{81} +(-2.06767 - 3.58131i) q^{82} +(-5.44916 - 1.98333i) q^{83} +(-1.47408 + 2.55317i) q^{84} +(0.619942 + 1.07377i) q^{85} +(0.452156 + 2.56431i) q^{86} +(17.9933 - 6.54901i) q^{87} +(2.93699 - 5.08701i) q^{88} +(7.69964 - 6.46076i) q^{89} +(-5.40880 + 4.53853i) q^{90} +(-3.08682 - 1.12351i) q^{91} +(-1.05024 + 5.95622i) q^{92} +(3.16281 - 17.9372i) q^{93} +(2.27771 + 0.829018i) q^{94} +(1.44121 - 1.20931i) q^{95} +(-2.42979 + 2.03883i) q^{96} +(-5.43733 + 9.41773i) q^{97} +(-5.76603 + 2.09866i) q^{98} +(7.20194 + 40.8442i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

Introduction

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