LMFDB - Embedded newform 370.2.o.a.271.3

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:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 3 x^{17} + 21 x^{16} - 20 x^{15} + 180 x^{14} - 126 x^{13} + 1002 x^{12} - 270 x^{11} + \cdots + 81 $ x^18 - 3x^17 + 21x^16 - 20x^15 + 180x^14 - 126x^13 + 1002x^12 - 270x^11 + 3294x^10 - 1172x^9 + 6585x^8 - 1464x^7 + 8092x^6 - 2088x^5 + 5598x^4 + 180x^3 + 972x^2 - 162*x + 81
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 3 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			271.3
Root			$0.140794 - 0.243862i$ of defining polynomial
Character	$\chi$	$=$	370.271
Dual form			370.2.o.a.71.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 - 0.642788i) q^{2} +(1.78348 + 1.49651i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.939693 + 0.342020i) q^{5} +2.32816 q^{6} +(2.45236 - 0.892588i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.420289 + 2.38358i) q^{9} +O(q^{10})$	\(q+(0.766044 - 0.642788i) q^{2} +(1.78348 + 1.49651i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.939693 + 0.342020i) q^{5} +2.32816 q^{6} +(2.45236 - 0.892588i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.420289 + 2.38358i) q^{9} +(-0.500000 + 0.866025i) q^{10} +(0.947256 + 1.64070i) q^{11} +(1.78348 - 1.49651i) q^{12} +(-0.156666 + 0.888499i) q^{13} +(1.30488 - 2.26011i) q^{14} +(-2.18776 - 0.796279i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(0.126827 + 0.719270i) q^{17} +(1.85409 + 1.55577i) q^{18} +(-3.60784 - 3.02734i) q^{19} +(0.173648 + 0.984808i) q^{20} +(5.70951 + 2.07809i) q^{21} +(1.78026 + 0.647961i) q^{22} +(-0.507151 + 0.878411i) q^{23} +(0.404281 - 2.29279i) q^{24} +(0.766044 - 0.642788i) q^{25} +(0.451103 + 0.781333i) q^{26} +(0.674763 - 1.16872i) q^{27} +(-0.453179 - 2.57010i) q^{28} +(1.79952 + 3.11686i) q^{29} +(-2.18776 + 0.796279i) q^{30} -5.42908 q^{31} +(-0.939693 + 0.342020i) q^{32} +(-0.765916 + 4.34373i) q^{33} +(0.559493 + 0.469470i) q^{34} +(-1.99919 + 1.67752i) q^{35} +2.42035 q^{36} +(-1.62651 - 5.86127i) q^{37} -4.70970 q^{38} +(-1.60906 + 1.35016i) q^{39} +(0.766044 + 0.642788i) q^{40} +(-1.19355 + 6.76893i) q^{41} +(5.70951 - 2.07809i) q^{42} -4.52591 q^{43} +(1.78026 - 0.647961i) q^{44} +(-1.21017 - 2.09608i) q^{45} +(0.176132 + 0.998892i) q^{46} +(2.52875 - 4.37993i) q^{47} +(-1.16408 - 2.01625i) q^{48} +(-0.144934 + 0.121614i) q^{49} +(0.173648 - 0.984808i) q^{50} +(-0.850206 + 1.47260i) q^{51} +(0.847796 + 0.308573i) q^{52} +(-6.31074 - 2.29692i) q^{53} +(-0.234343 - 1.32902i) q^{54} +(-1.45128 - 1.21777i) q^{55} +(-1.99919 - 1.67752i) q^{56} +(-1.90405 - 10.7984i) q^{57} +(3.38199 + 1.23094i) q^{58} +(-2.99800 - 1.09118i) q^{59} +(-1.16408 + 2.01625i) q^{60} +(2.39779 - 13.5985i) q^{61} +(-4.15891 + 3.48974i) q^{62} +(3.15825 + 5.47025i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.156666 - 0.888499i) q^{65} +(2.20537 + 3.81981i) q^{66} +(-5.82211 + 2.11907i) q^{67} +0.730366 q^{68} +(-2.21905 + 0.807667i) q^{69} +(-0.453179 + 2.57010i) q^{70} +(3.08174 + 2.58589i) q^{71} +(1.85409 - 1.55577i) q^{72} -3.69430 q^{73} +(-5.01353 - 3.44449i) q^{74} +2.32816 q^{75} +(-3.60784 + 3.02734i) q^{76} +(3.78748 + 3.17807i) q^{77} +(-0.364745 + 2.06857i) q^{78} +(5.57641 - 2.02965i) q^{79} +1.00000 q^{80} +(9.77558 - 3.55802i) q^{81} +(3.43668 + 5.95250i) q^{82} +(0.504279 + 2.85991i) q^{83} +(3.03796 - 5.26191i) q^{84} +(-0.365183 - 0.632516i) q^{85} +(-3.46705 + 2.90920i) q^{86} +(-1.45502 + 8.25186i) q^{87} +(0.947256 - 1.64070i) q^{88} +(2.41644 + 0.879511i) q^{89} +(-2.27438 - 0.827808i) q^{90} +(0.408860 + 2.31876i) q^{91} +(0.777000 + 0.651980i) q^{92} +(-9.68263 - 8.12469i) q^{93} +(-0.878227 - 4.98067i) q^{94} +(4.42567 + 1.61081i) q^{95} +(-2.18776 - 0.796279i) q^{96} +(-4.45499 + 7.71627i) q^{97} +(-0.0328539 + 0.186324i) q^{98} +(-3.51260 + 2.94742i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) $ 18 * q - 6 * q^6 - 3 * q^7 - 9 * q^8 - 12 * q^9	$ 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9} - 9 q^{10} + 3 q^{11} + 9 q^{13} - 6 q^{17} + 6 q^{18} + 9 q^{19} - 6 q^{21} + 21 q^{23} + 6 q^{26} + 12 q^{27} - 3 q^{28} + 6 q^{29} - 30 q^{31} - 45 q^{33} - 15 q^{34} + 6 q^{35} + 24 q^{36} + 6 q^{37} - 12 q^{38} + 24 q^{39} + 15 q^{41} - 6 q^{42} - 12 q^{43} - 12 q^{45} + 24 q^{47} + 3 q^{48} + 33 q^{49} - 42 q^{51} - 12 q^{53} + 27 q^{54} + 6 q^{56} + 51 q^{57} - 15 q^{58} - 15 q^{59} + 3 q^{60} + 72 q^{61} - 57 q^{62} - 30 q^{63} - 9 q^{64} + 9 q^{65} - 3 q^{66} + 18 q^{67} + 24 q^{69} - 3 q^{70} + 6 q^{72} - 66 q^{73} - 24 q^{74} - 6 q^{75} + 9 q^{76} - 66 q^{77} + 6 q^{78} - 12 q^{79} + 18 q^{80} + 66 q^{81} + 45 q^{82} + 9 q^{83} + 42 q^{84} + 12 q^{86} + 48 q^{87} + 3 q^{88} + 6 q^{90} - 78 q^{91} + 18 q^{92} + 24 q^{94} - 3 q^{97} - 48 q^{98} - 96 q^{99}+O(q^{100}) $ 18 * q - 6 * q^6 - 3 * q^7 - 9 * q^8 - 12 * q^9 - 9 * q^10 + 3 * q^11 + 9 * q^13 - 6 * q^17 + 6 * q^18 + 9 * q^19 - 6 * q^21 + 21 * q^23 + 6 * q^26 + 12 * q^27 - 3 * q^28 + 6 * q^29 - 30 * q^31 - 45 * q^33 - 15 * q^34 + 6 * q^35 + 24 * q^36 + 6 * q^37 - 12 * q^38 + 24 * q^39 + 15 * q^41 - 6 * q^42 - 12 * q^43 - 12 * q^45 + 24 * q^47 + 3 * q^48 + 33 * q^49 - 42 * q^51 - 12 * q^53 + 27 * q^54 + 6 * q^56 + 51 * q^57 - 15 * q^58 - 15 * q^59 + 3 * q^60 + 72 * q^61 - 57 * q^62 - 30 * q^63 - 9 * q^64 + 9 * q^65 - 3 * q^66 + 18 * q^67 + 24 * q^69 - 3 * q^70 + 6 * q^72 - 66 * q^73 - 24 * q^74 - 6 * q^75 + 9 * q^76 - 66 * q^77 + 6 * q^78 - 12 * q^79 + 18 * q^80 + 66 * q^81 + 45 * q^82 + 9 * q^83 + 42 * q^84 + 12 * q^86 + 48 * q^87 + 3 * q^88 + 6 * q^90 - 78 * q^91 + 18 * q^92 + 24 * q^94 - 3 * q^97 - 48 * q^98 - 96 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$1$

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 $

$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$2$	0.766044	−	0.642788i	0.541675	−	0.454519i
$3$	1.78348	+	1.49651i	1.02969	+	0.864013i	0.990814	−	0.135231i	$-0.0431775\pi$
$3$	1.78348	+	1.49651i	1.02969	+	0.864013i	0.0388769	+	0.999244i	$0.487622\pi$
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	−0.939693	+	0.342020i	−0.420243	+	0.152956i
$5$	−0.939693	+	0.342020i	−0.420243	+	0.152956i
$6$	2.32816			0.950469
$7$	2.45236	−	0.892588i	0.926907	−	0.337366i	0.165924	−	0.986139i	$-0.446939\pi$
$7$	2.45236	−	0.892588i	0.926907	−	0.337366i	0.760983	+	0.648772i	$0.224717\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	0.420289	+	2.38358i	0.140096	+	0.794526i
$10$	−0.500000	+	0.866025i	−0.158114	+	0.273861i
$11$	0.947256	+	1.64070i	0.285608	+	0.494688i	0.972757	−	0.231829i	$-0.0744710\pi$
$11$	0.947256	+	1.64070i	0.285608	+	0.494688i	−0.687148	+	0.726517i	$0.741138\pi$
$12$	1.78348	−	1.49651i	0.514845	−	0.432007i
$13$	−0.156666	+	0.888499i	−0.0434514	+	0.246425i	−0.998795	−	0.0490711i	$-0.984374\pi$
$13$	−0.156666	+	0.888499i	−0.0434514	+	0.246425i	0.955344	+	0.295496i	$0.0954850\pi$
$14$	1.30488	−	2.26011i	0.348743	−	0.604040i
$15$	−2.18776	−	0.796279i	−0.564877	−	0.205598i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	0.126827	+	0.719270i	0.0307600	+	0.174449i	0.996317	−	0.0857414i	$-0.0273259\pi$
$17$	0.126827	+	0.719270i	0.0307600	+	0.174449i	−0.965557	+	0.260190i	$0.916215\pi$
$18$	1.85409	+	1.55577i	0.437014	+	0.366698i
$19$	−3.60784	−	3.02734i	−0.827696	−	0.694519i	0.127065	−	0.991894i	$-0.459444\pi$
$19$	−3.60784	−	3.02734i	−0.827696	−	0.694519i	−0.954761	+	0.297375i	$0.903889\pi$
$20$	0.173648	+	0.984808i	0.0388289	+	0.220210i
$21$	5.70951	+	2.07809i	1.24592	+	0.453476i
$22$	1.78026	+	0.647961i	0.379552	+	0.138146i
$23$	−0.507151	+	0.878411i	−0.105748	+	0.183161i	−0.914044	−	0.405616i	$-0.867057\pi$
$23$	−0.507151	+	0.878411i	−0.105748	+	0.183161i	0.808295	+	0.588777i	$0.200390\pi$
$24$	0.404281	−	2.29279i	0.0825236	−	0.468015i
$25$	0.766044	−	0.642788i	0.153209	−	0.128558i
$26$	0.451103	+	0.781333i	0.0884686	+	0.153232i
$27$	0.674763	−	1.16872i	0.129858	−	0.224921i
$28$	−0.453179	−	2.57010i	−0.0856427	−	0.485704i
$29$	1.79952	+	3.11686i	0.334162	+	0.578786i	0.983324	−	0.181865i	$-0.0582133\pi$
$29$	1.79952	+	3.11686i	0.334162	+	0.578786i	−0.649161	+	0.760651i	$0.724880\pi$
$30$	−2.18776	+	0.796279i	−0.399428	+	0.145380i
$31$	−5.42908			−0.975091			−0.487545	−	0.873098i	$-0.662108\pi$
$31$	−5.42908			−0.975091			−0.487545	+	0.873098i	$0.662108\pi$
$32$	−0.939693	+	0.342020i	−0.166116	+	0.0604612i
$33$	−0.765916	+	4.34373i	−0.133329	+	0.756145i
$34$	0.559493	+	0.469470i	0.0959522	+	0.0805135i
$35$	−1.99919	+	1.67752i	−0.337924	+	0.283552i
$36$	2.42035			0.403391
$37$	−1.62651	−	5.86127i	−0.267397	−	0.963586i
$37$	−1.62651	−	5.86127i	−0.267397	−	0.963586i
$38$	−4.70970			−0.764015
$39$	−1.60906	+	1.35016i	−0.257656	+	0.216199i
$40$	0.766044	+	0.642788i	0.121122	+	0.101634i
$41$	−1.19355	+	6.76893i	−0.186401	+	1.05713i	0.737742	+	0.675083i	$0.235892\pi$
$41$	−1.19355	+	6.76893i	−0.186401	+	1.05713i	−0.924143	+	0.382047i	$0.875219\pi$
$42$	5.70951	−	2.07809i	0.880996	−	0.320656i
$43$	−4.52591			−0.690195			−0.345098	−	0.938567i	$-0.612154\pi$
$43$	−4.52591			−0.690195			−0.345098	+	0.938567i	$0.612154\pi$
$44$	1.78026	−	0.647961i	0.268384	−	0.0976838i
$45$	−1.21017	−	2.09608i	−0.180402	−	0.312466i
$46$	0.176132	+	0.998892i	0.0259692	+	0.147279i
$47$	2.52875	−	4.37993i	0.368857	−	0.638878i	−0.620531	−	0.784182i	$-0.713083\pi$
$47$	2.52875	−	4.37993i	0.368857	−	0.638878i	0.989387	+	0.145304i	$0.0464160\pi$
$48$	−1.16408	−	2.01625i	−0.168021	−	0.291021i
$49$	−0.144934	+	0.121614i	−0.0207049	+	0.0173734i
$50$	0.173648	−	0.984808i	0.0245576	−	0.139273i
$51$	−0.850206	+	1.47260i	−0.119053	+	0.206205i
$52$	0.847796	+	0.308573i	0.117568	+	0.0427913i
$53$	−6.31074	−	2.29692i	−0.866847	−	0.315506i	−0.129957	−	0.991520i	$-0.541484\pi$
$53$	−6.31074	−	2.29692i	−0.866847	−	0.315506i	−0.736889	+	0.676013i	$0.763706\pi$
$54$	−0.234343	−	1.32902i	−0.0318900	−	0.180857i
$55$	−1.45128	−	1.21777i	−0.195691	−	0.164204i
$56$	−1.99919	−	1.67752i	−0.267152	−	0.224167i
$57$	−1.90405	−	10.7984i	−0.252197	−	1.43028i
$58$	3.38199	+	1.23094i	0.444077	+	0.161631i
$59$	−2.99800	−	1.09118i	−0.390306	−	0.142060i	0.139410	−	0.990235i	$-0.455479\pi$
$59$	−2.99800	−	1.09118i	−0.390306	−	0.142060i	−0.529716	+	0.848175i	$0.677702\pi$
$60$	−1.16408	+	2.01625i	−0.150282	+	0.260297i
$61$	2.39779	−	13.5985i	0.307005	−	1.74111i	−0.306908	−	0.951739i	$-0.599294\pi$
$61$	2.39779	−	13.5985i	0.307005	−	1.74111i	0.613913	−	0.789373i	$-0.289594\pi$
$62$	−4.15891	+	3.48974i	−0.528182	+	0.443198i
$63$	3.15825	+	5.47025i	0.397902	+	0.689187i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−0.156666	−	0.888499i	−0.0194321	−	0.110205i
$66$	2.20537	+	3.81981i	0.271462	+	0.470186i
$67$	−5.82211	+	2.11907i	−0.711284	+	0.258886i	−0.672221	−	0.740351i	$-0.734660\pi$
$67$	−5.82211	+	2.11907i	−0.711284	+	0.258886i	−0.0390629	+	0.999237i	$0.512437\pi$
$68$	0.730366			0.0885699
$69$	−2.21905	+	0.807667i	−0.267142	+	0.0972317i
$70$	−0.453179	+	2.57010i	−0.0541652	+	0.307186i
$71$	3.08174	+	2.58589i	0.365736	+	0.306889i	0.807072	−	0.590453i	$-0.201051\pi$
$71$	3.08174	+	2.58589i	0.365736	+	0.306889i	−0.441336	+	0.897342i	$0.645495\pi$
$72$	1.85409	−	1.55577i	0.218507	−	0.183349i
$73$	−3.69430			−0.432385			−0.216193	−	0.976351i	$-0.569364\pi$
$73$	−3.69430			−0.432385			−0.216193	+	0.976351i	$0.569364\pi$
$74$	−5.01353	−	3.44449i	−0.582811	−	0.400414i
$75$	2.32816			0.268833
$76$	−3.60784	+	3.02734i	−0.413848	+	0.347260i
$77$	3.78748	+	3.17807i	0.431623	+	0.362175i
$78$	−0.364745	+	2.06857i	−0.0412992	+	0.234220i
$79$	5.57641	−	2.02965i	0.627395	−	0.228353i	−0.00870204	−	0.999962i	$-0.502770\pi$
$79$	5.57641	−	2.02965i	0.627395	−	0.228353i	0.636097	+	0.771609i	$0.280548\pi$
$80$	1.00000			0.111803
$81$	9.77558	−	3.55802i	1.08618	−	0.395336i
$82$	3.43668	+	5.95250i	0.379518	+	0.657344i
$83$	0.504279	+	2.85991i	0.0553518	+	0.313916i	0.999895	−	0.0144706i	$-0.00460629\pi$
$83$	0.504279	+	2.85991i	0.0553518	+	0.313916i	−0.944543	+	0.328386i	$0.893495\pi$
$84$	3.03796	−	5.26191i	0.331469	−	0.574121i
$85$	−0.365183	−	0.632516i	−0.0396097	−	0.0686060i
$86$	−3.46705	+	2.90920i	−0.373862	+	0.313707i
$87$	−1.45502	+	8.25186i	−0.155995	+	0.884692i
$88$	0.947256	−	1.64070i	0.100978	−	0.174899i
$89$	2.41644	+	0.879511i	0.256142	+	0.0932280i	0.466900	−	0.884310i	$-0.345371\pi$
$89$	2.41644	+	0.879511i	0.256142	+	0.0932280i	−0.210758	+	0.977538i	$0.567593\pi$
$90$	−2.27438	−	0.827808i	−0.239741	−	0.0872586i
$91$	0.408860	+	2.31876i	0.0428602	+	0.243072i
$92$	0.777000	+	0.651980i	0.0810079	+	0.0679737i
$93$	−9.68263	−	8.12469i	−1.00404	−	0.842491i
$94$	−0.878227	−	4.98067i	−0.0905822	−	0.513717i
$95$	4.42567	+	1.61081i	0.454065	+	0.165266i
$96$	−2.18776	−	0.796279i	−0.223287	−	0.0812699i
$97$	−4.45499	+	7.71627i	−0.452336	+	0.783469i	−0.998531	−	0.0541895i	$-0.982742\pi$
$97$	−4.45499	+	7.71627i	−0.452336	+	0.783469i	0.546195	+	0.837658i	$0.316076\pi$
$98$	−0.0328539	+	0.186324i	−0.00331874	+	0.0188215i
$99$	−3.51260	+	2.94742i	−0.353030	+	0.296227i
$100$	−0.500000	−	0.866025i	−0.0500000	−	0.0866025i
$101$	9.77494	−	16.9307i	0.972643	−	1.68467i	0.285138	−	0.958486i	$-0.407960\pi$
$101$	9.77494	−	16.9307i	0.972643	−	1.68467i	0.687504	−	0.726180i	$-0.258706\pi$
$102$	0.295273	+	1.67458i	0.0292364	+	0.165808i
$103$	2.06286	+	3.57298i	0.203260	+	0.352056i	0.949577	−	0.313534i	$-0.101513\pi$
$103$	2.06286	+	3.57298i	0.203260	+	0.352056i	−0.746317	+	0.665591i	$0.768180\pi$
$104$	0.847796	−	0.308573i	0.0831332	−	0.0302580i
$105$	−6.07593			−0.592950
$106$	−6.31074	+	2.29692i	−0.612953	+	0.223097i
$107$	−2.88577	+	16.3660i	−0.278978	+	1.58216i	0.447059	+	0.894504i	$0.352471\pi$
$107$	−2.88577	+	16.3660i	−0.278978	+	1.58216i	−0.726037	+	0.687656i	$0.758640\pi$
$108$	−1.03380	−	0.867458i	−0.0994771	−	0.0834712i
$109$	−11.7853	+	9.88903i	−1.12883	+	0.947198i	−0.999016	−	0.0443413i	$-0.985881\pi$
$109$	−11.7853	+	9.88903i	−1.12883	+	0.947198i	−0.129810	+	0.991539i	$0.541437\pi$
$110$	−1.89451			−0.180635
$111$	5.87062	−	12.8875i	0.557215	−	1.22323i
$112$	−2.60975			−0.246598
$113$	−6.85659	+	5.75336i	−0.645014	+	0.541231i	−0.905553	−	0.424232i	$-0.860544\pi$
$113$	−6.85659	+	5.75336i	−0.645014	+	0.541231i	0.260540	+	0.965463i	$0.416100\pi$
$114$	−8.39965	−	7.04814i	−0.786699	−	0.660119i
$115$	0.176132	−	0.998892i	0.0164244	−	0.0931472i
$116$	3.38199	−	1.23094i	0.314010	−	0.114290i
$117$	−2.18365			−0.201879
$118$	−2.99800	+	1.09118i	−0.275988	+	0.100451i
$119$	0.953037	+	1.65071i	0.0873648	+	0.151320i
$120$	0.404281	+	2.29279i	0.0369057	+	0.209302i
$121$	3.70541	−	6.41796i	0.336856	−	0.583451i
$122$	−6.90415	−	11.9583i	−0.625072	−	1.08266i
$123$	−12.2585	+	10.2861i	−1.10531	+	0.927465i
$124$	−0.942749	+	5.34660i	−0.0846614	+	0.480138i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	5.93557	+	2.16037i	0.528783	+	0.192461i
$127$	5.77791	+	2.10299i	0.512706	+	0.186610i	0.585400	−	0.810744i	$-0.300937\pi$
$127$	5.77791	+	2.10299i	0.512706	+	0.186610i	−0.0726939	+	0.997354i	$0.523160\pi$
$128$	0.173648	+	0.984808i	0.0153485	+	0.0870455i
$129$	−8.07186	−	6.77309i	−0.710688	−	0.596338i
$130$	−0.691130	−	0.579927i	−0.0606161	−	0.0508629i
$131$	−1.68257	−	9.54231i	−0.147007	−	0.833715i	−0.965734	−	0.259533i	$-0.916431\pi$
$131$	−1.68257	−	9.54231i	−0.147007	−	0.833715i	0.818728	−	0.574182i	$-0.194680\pi$
$132$	4.14473	+	1.50856i	0.360753	+	0.131303i
$133$	−11.5499	−	4.20382i	−1.00150	−	0.364518i
$134$	−3.09788	+	5.36569i	−0.267616	+	0.463525i
$135$	−0.234343	+	1.32902i	−0.0201690	+	0.114384i
$136$	0.559493	−	0.469470i	0.0479761	−	0.0402567i
$137$	9.73026	+	16.8533i	0.831312	+	1.43988i	0.896998	+	0.442035i	$0.145743\pi$
$137$	9.73026	+	16.8533i	0.831312	+	1.43988i	−0.0656857	+	0.997840i	$0.520923\pi$
$138$	−1.18073	+	2.04508i	−0.100510	+	0.174089i
$139$	3.44537	+	19.5396i	0.292232	+	1.65733i	0.678244	+	0.734837i	$0.262741\pi$
$139$	3.44537	+	19.5396i	0.292232	+	1.65733i	−0.386012	+	0.922494i	$0.626148\pi$
$140$	1.30488	+	2.26011i	0.110282	+	0.191014i
$141$	11.0646	−	4.02719i	0.931808	−	0.339150i
$142$	4.02293			0.337597
$143$	−1.60616	+	0.584594i	−0.134314	+	0.0488862i
$144$	0.420289	−	2.38358i	0.0350241	−	0.198631i
$145$	−2.75702	−	2.31342i	−0.228958	−	0.192119i
$146$	−2.83000	+	2.37465i	−0.234212	+	0.196528i
$147$	−0.440484			−0.0363305
$148$	−6.05466	+	0.584005i	−0.497690	+	0.0480049i
$149$	16.0988			1.31887			0.659434	−	0.751763i	$-0.270796\pi$
$149$	16.0988			1.31887			0.659434	+	0.751763i	$0.270796\pi$
$150$	1.78348	−	1.49651i	0.145620	−	0.122190i
$151$	11.9201	+	10.0022i	0.970045	+	0.813964i	0.982558	−	0.185957i	$-0.0595387\pi$
$151$	11.9201	+	10.0022i	0.970045	+	0.813964i	−0.0125129	+	0.999922i	$0.503983\pi$
$152$	−0.817832	+	4.63815i	−0.0663349	+	0.376204i
$153$	−1.66113	+	0.604603i	−0.134295	+	0.0488792i
$154$	4.94420			0.398415
$155$	5.10166	−	1.85685i	0.409775	−	0.149146i
$156$	1.05024	+	1.81907i	0.0840866	+	0.145642i
$157$	−3.51881	−	19.9562i	−0.280832	−	1.59268i	−0.719804	−	0.694177i	$-0.755769\pi$
$157$	−3.51881	−	19.9562i	−0.280832	−	1.59268i	0.438972	−	0.898501i	$-0.355343\pi$
$158$	2.96715	−	5.13925i	0.236053	−	0.408857i
$159$	−7.81768	−	13.5406i	−0.619982	−	1.07384i
$160$	0.766044	−	0.642788i	0.0605611	−	0.0508168i
$161$	−0.459660	+	2.60686i	−0.0362263	+	0.205449i
$162$	5.20148	−	9.00923i	0.408667	−	0.707832i
$163$	6.29949	+	2.29283i	0.493414	+	0.179588i	0.576730	−	0.816935i	$-0.304329\pi$
$163$	6.29949	+	2.29283i	0.493414	+	0.179588i	−0.0833153	+	0.996523i	$0.526551\pi$
$164$	6.45884	+	2.35083i	0.504351	+	0.183569i
$165$	−0.765916	−	4.34373i	−0.0596265	−	0.338159i
$166$	2.22461	+	1.86667i	0.172664	+	0.144882i
$167$	7.25475	+	6.08745i	0.561389	+	0.471061i	0.878776	−	0.477235i	$-0.158361\pi$
$167$	7.25475	+	6.08745i	0.561389	+	0.471061i	−0.317387	+	0.948296i	$0.602805\pi$
$168$	−1.05507	−	5.98362i	−0.0814007	−	0.461646i
$169$	11.4511	+	4.16787i	0.880855	+	0.320605i
$170$	−0.686320	−	0.249800i	−0.0526383	−	0.0191588i
$171$	5.69956	−	9.87193i	0.435856	−	0.754925i
$172$	−0.785916	+	4.45715i	−0.0599256	+	0.339855i
$173$	−3.08524	+	2.58883i	−0.234567	+	0.196825i	−0.752493	−	0.658601i	$-0.771149\pi$
$173$	−3.08524	+	2.58883i	−0.234567	+	0.196825i	0.517926	+	0.855425i	$0.326704\pi$
$174$	4.18958	+	7.25656i	0.317611	+	0.550118i
$175$	1.30488	−	2.26011i	0.0986393	−	0.170848i
$176$	−0.328979	−	1.86573i	−0.0247977	−	0.140635i
$177$	−3.71389	−	6.43264i	−0.279153	−	0.483507i
$178$	2.41644	−	0.879511i	0.181120	−	0.0659221i
$179$	10.6561			0.796477			0.398239	−	0.917282i	$-0.369622\pi$
$179$	10.6561			0.796477			0.398239	+	0.917282i	$0.369622\pi$
$180$	−2.27438	+	0.827808i	−0.169522	+	0.0617011i
$181$	1.44050	−	8.16950i	0.107072	−	0.607234i	−0.883301	−	0.468807i	$-0.844684\pi$
$181$	1.44050	−	8.16950i	0.107072	−	0.607234i	0.990373	−	0.138428i	$-0.0442048\pi$
$182$	1.80368	+	1.51346i	0.133697	+	0.112185i
$183$	24.6268	−	20.6643i	1.82046	−	1.52755i
$184$	1.01430			0.0747753
$185$	3.53309	+	4.95149i	0.259758	+	0.364041i
$186$	−12.6398			−0.926793
$187$	−1.05997	+	0.889417i	−0.0775124	+	0.0650406i
$188$	−3.87427	−	3.25090i	−0.282560	−	0.237096i
$189$	0.611576	−	3.46842i	0.0444856	−	0.252290i
$190$	4.42567	−	1.61081i	0.321072	−	0.116861i
$191$	15.9452			1.15376			0.576878	−	0.816830i	$-0.304271\pi$
$191$	15.9452			1.15376			0.576878	+	0.816830i	$0.304271\pi$
$192$	−2.18776	+	0.796279i	−0.157888	+	0.0574665i
$193$	−5.37242	−	9.30531i	−0.386715	−	0.669811i	0.605290	−	0.796005i	$-0.293057\pi$
$193$	−5.37242	−	9.30531i	−0.386715	−	0.669811i	−0.992006	+	0.126194i	$0.959724\pi$
$194$	1.54720	+	8.77462i	0.111083	+	0.629981i
$195$	1.05024	−	1.81907i	0.0752094	−	0.130266i
$196$	0.0945989	+	0.163850i	0.00675707	+	0.0117036i
$197$	2.38490	−	2.00117i	0.169917	−	0.142577i	−0.553864	−	0.832607i	$-0.686847\pi$
$197$	2.38490	−	2.00117i	0.169917	−	0.142577i	0.723781	+	0.690030i	$0.242403\pi$
$198$	−0.796242	+	4.51572i	−0.0565865	+	0.320918i
$199$	4.86514	−	8.42667i	0.344881	−	0.597351i	−0.640451	−	0.767999i	$-0.721253\pi$
$199$	4.86514	−	8.42667i	0.344881	−	0.597351i	0.985332	+	0.170648i	$0.0545860\pi$
$200$	−0.939693	−	0.342020i	−0.0664463	−	0.0241845i
$201$	−13.5548	−	4.93355i	−0.956084	−	0.347986i
$202$	−3.39480	−	19.2529i	−0.238857	−	1.35463i
$203$	7.19515	+	6.03745i	0.505000	+	0.423746i
$204$	1.30259	+	1.09300i	0.0911996	+	0.0765256i
$205$	−1.19355	−	6.76893i	−0.0833608	−	0.472763i
$206$	3.87691	+	1.41108i	0.270117	+	0.0983146i
$207$	−2.30691	−	0.839647i	−0.160341	−	0.0583595i
$208$	0.451103	−	0.781333i	0.0312784	−	0.0541757i
$209$	1.54939	−	8.78704i	0.107174	−	0.607812i
$210$	−4.65443	+	3.90553i	−0.321186	+	0.269507i
$211$	−5.24997	−	9.09321i	−0.361423	−	0.626002i	0.626773	−	0.779202i	$-0.284376\pi$
$211$	−5.24997	−	9.09321i	−0.361423	−	0.626002i	−0.988195	+	0.153200i	$0.951042\pi$
$212$	−3.35787	+	5.81601i	−0.230620	+	0.399445i
$213$	1.62640	+	9.22375i	0.111439	+	0.632001i
$214$	8.30923	+	14.3920i	0.568007	+	0.983818i
$215$	4.25297	−	1.54795i	0.290050	−	0.105570i
$216$	−1.34953			−0.0918236
$217$	−13.3141	+	4.84592i	−0.903818	+	0.328963i
$218$	−2.67151	+	15.1509i	−0.180937	+	1.02615i
$219$	−6.58870	−	5.52858i	−0.445223	−	0.373587i
$220$	−1.45128	+	1.21777i	−0.0978453	+	0.0821019i
$221$	−0.658941			−0.0443251
$222$	−3.78679	−	13.6460i	−0.254153	−	0.915859i
$223$	4.32889			0.289884			0.144942	−	0.989440i	$-0.453700\pi$
$223$	4.32889			0.289884			0.144942	+	0.989440i	$0.453700\pi$
$224$	−1.99919	+	1.67752i	−0.133576	+	0.112084i
$225$	1.85409	+	1.55577i	0.123606	+	0.103718i
$226$	−1.55426	+	8.81466i	−0.103388	+	0.586343i
$227$	1.74740	−	0.636002i	0.115979	−	0.0422129i	−0.283379	−	0.959008i	$-0.591455\pi$
$227$	1.74740	−	0.636002i	0.115979	−	0.0422129i	0.399358	+	0.916795i	$0.369233\pi$
$228$	−10.9650			−0.726173
$229$	25.0713	−	9.12522i	1.65676	−	0.603011i	0.666911	−	0.745137i	$-0.267616\pi$
$229$	25.0713	−	9.12522i	1.65676	−	0.603011i	0.989849	+	0.142126i	$0.0453937\pi$
$230$	−0.507151	−	0.878411i	−0.0334405	−	0.0579207i
$231$	1.99885	+	11.3360i	0.131515	+	0.745857i
$232$	1.79952	−	3.11686i	0.118144	−	0.204632i
$233$	−13.6620	−	23.6632i	−0.895026	−	1.55023i	−0.833773	−	0.552108i	$-0.813824\pi$
$233$	−13.6620	−	23.6632i	−0.895026	−	1.55023i	−0.0612531	−	0.998122i	$-0.519510\pi$
$234$	−1.67277	+	1.40362i	−0.109353	+	0.0917578i
$235$	−0.878227	+	4.98067i	−0.0572892	+	0.324903i
$236$	−1.59520	+	2.76297i	−0.103839	+	0.179854i
$237$	12.9828	+	4.72535i	0.843323	+	0.306945i
$238$	1.79112	+	0.651916i	0.116101	+	0.0422574i
$239$	3.79753	+	21.5369i	0.245642	+	1.39310i	0.818997	+	0.573797i	$0.194530\pi$
$239$	3.79753	+	21.5369i	0.245642	+	1.39310i	−0.573355	+	0.819307i	$0.694359\pi$
$240$	1.78348	+	1.49651i	0.115123	+	0.0965996i
$241$	1.48442	+	1.24558i	0.0956202	+	0.0802349i	0.689345	−	0.724434i	$-0.257899\pi$
$241$	1.48442	+	1.24558i	0.0956202	+	0.0802349i	−0.593724	+	0.804668i	$0.702343\pi$
$242$	−1.28688	−	7.29824i	−0.0827235	−	0.469149i
$243$	18.9547	+	6.89896i	1.21595	+	0.442569i
$244$	−12.9756	−	4.72272i	−0.830675	−	0.302341i
$245$	0.0945989	−	0.163850i	0.00604370	−	0.0104680i
$246$	−2.77877	+	15.7592i	−0.177168	+	1.00477i
$247$	3.25502	−	2.73128i	0.207112	−	0.173787i
$248$	2.71454	+	4.70172i	0.172373	+	0.298559i
$249$	−3.38053	+	5.85524i	−0.214232	+	0.371061i
$250$	0.173648	+	0.984808i	0.0109825	+	0.0622847i
$251$	−2.46643	−	4.27199i	−0.155680	−	0.269645i	0.777627	−	0.628726i	$-0.216423\pi$
$251$	−2.46643	−	4.27199i	−0.155680	−	0.269645i	−0.933306	+	0.359081i	$0.883090\pi$
$252$	5.93557	−	2.16037i	0.373906	−	0.136091i
$253$	−1.92161			−0.120810
$254$	5.77791	−	2.10299i	0.362538	−	0.131953i
$255$	0.295273	−	1.67458i	0.0184907	−	0.104866i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	−13.2492	+	11.1174i	−0.826460	+	0.693482i	−0.954475	−	0.298290i	$-0.903584\pi$
$257$	−13.2492	+	11.1174i	−0.826460	+	0.693482i	0.128015	+	0.991772i	$0.459139\pi$
$258$	−10.5371			−0.656009
$259$	−9.22050	−	12.9222i	−0.572934	−	0.802944i
$260$	−0.902206			−0.0559524
$261$	−6.67296	+	5.59928i	−0.413046	+	0.346586i
$262$	−7.42260	−	6.22830i	−0.458570	−	0.384786i
$263$	−5.06157	+	28.7056i	−0.312110	+	1.77006i	0.275880	+	0.961192i	$0.411031\pi$
$263$	−5.06157	+	28.7056i	−0.312110	+	1.77006i	−0.587989	+	0.808869i	$0.700080\pi$
$264$	4.14473	−	1.50856i	0.255091	−	0.0928454i
$265$	6.71575			0.412545
$266$	−11.5499	+	4.20382i	−0.708170	+	0.257753i
$267$	2.99346	+	5.18482i	0.183197	+	0.317306i
$268$	1.07588	+	6.10163i	0.0657200	+	0.372716i
$269$	−13.7937	+	23.8915i	−0.841020	+	1.45669i	0.0480141	+	0.998847i	$0.484711\pi$
$269$	−13.7937	+	23.8915i	−0.841020	+	1.45669i	−0.889034	+	0.457842i	$0.848623\pi$
$270$	0.674763	+	1.16872i	0.0410648	+	0.0711262i
$271$	−13.6410	+	11.4461i	−0.828629	+	0.695302i	−0.954976	−	0.296684i	$-0.904119\pi$
$271$	−13.6410	+	11.4461i	−0.828629	+	0.695302i	0.126347	+	0.991986i	$0.459675\pi$
$272$	0.126827	−	0.719270i	0.00769000	−	0.0436122i
$273$	−2.74087	+	4.74732i	−0.165885	+	0.287321i
$274$	18.2869	+	6.65589i	1.10475	+	0.402097i
$275$	1.78026	+	0.647961i	0.107354	+	0.0390735i
$276$	0.410063	+	2.32558i	0.0246829	+	0.139984i
$277$	−4.69543	−	3.93993i	−0.282121	−	0.236728i	0.490735	−	0.871309i	$-0.336728\pi$
$277$	−4.69543	−	3.93993i	−0.282121	−	0.236728i	−0.772856	+	0.634581i	$0.781173\pi$
$278$	15.1991	+	12.7536i	0.911584	+	0.764910i
$279$	−2.28178	−	12.9406i	−0.136607	−	0.774735i
$280$	2.45236	+	0.892588i	0.146557	+	0.0533423i
$281$	−5.35088	−	1.94756i	−0.319207	−	0.116182i	0.177447	−	0.984130i	$-0.443216\pi$
$281$	−5.35088	−	1.94756i	−0.319207	−	0.116182i	−0.496654	+	0.867948i	$0.665438\pi$
$282$	5.88735	−	10.1972i	0.350587	−	0.607234i
$283$	4.05309	−	22.9862i	0.240931	−	1.36639i	−0.588823	−	0.808262i	$-0.700409\pi$
$283$	4.05309	−	22.9862i	0.240931	−	1.36639i	0.829755	−	0.558128i	$-0.188480\pi$
$284$	3.08174	−	2.58589i	0.182868	−	0.153444i
$285$	5.48248	+	9.49594i	0.324754	+	0.562491i
$286$	−0.854620	+	1.48024i	−0.0505347	+	0.0875287i
$287$	3.11486	+	17.6652i	0.183864	+	1.04275i
$288$	−1.21017	−	2.09608i	−0.0713102	−	0.123513i
$289$	15.4735	−	5.63190i	0.910206	−	0.331288i
$290$	−3.59904			−0.211343
$291$	−19.4929	+	7.09483i	−1.14269	+	0.415906i
$292$	−0.641509	+	3.63818i	−0.0375415	+	0.212908i
$293$	−22.4020	−	18.7975i	−1.30874	−	1.09816i	−0.988563	−	0.150807i	$-0.951813\pi$
$293$	−22.4020	−	18.7975i	−1.30874	−	1.09816i	−0.320178	−	0.947357i	$-0.603743\pi$
$294$	−0.337430	+	0.283137i	−0.0196793	+	0.0165129i
$295$	3.19040			0.185752
$296$	−4.26275	+	4.33924i	−0.247767	+	0.252213i
$297$	2.55669			0.148354
$298$	12.3324	−	10.3481i	0.714398	−	0.599451i
$299$	−0.701014	−	0.588220i	−0.0405407	−	0.0340177i
$300$	0.404281	−	2.29279i	0.0233412	−	0.132375i
$301$	−11.0992	+	4.03977i	−0.639746	+	0.232849i
$302$	15.5606			0.895412
$303$	42.7704	−	15.5672i	2.45710	−	0.894310i
$304$	2.35485	+	4.07872i	0.135060	+	0.233931i
$305$	2.39779	+	13.5985i	0.137297	+	0.778649i
$306$	−0.883870	+	1.53091i	−0.0505275	+	0.0875162i
$307$	−7.62200	−	13.2017i	−0.435010	−	0.753460i	0.562286	−	0.826943i	$-0.309922\pi$
$307$	−7.62200	−	13.2017i	−0.435010	−	0.753460i	−0.997296	+	0.0734826i	$0.976589\pi$
$308$	3.78748	−	3.17807i	0.215812	−	0.181088i
$309$	−1.66795	+	9.45943i	−0.0948865	+	0.538128i
$310$	2.71454	−	4.70172i	0.154175	−	0.267040i
$311$	−3.12568	−	1.13765i	−0.177241	−	0.0645105i	0.251875	−	0.967760i	$-0.418953\pi$
$311$	−3.12568	−	1.13765i	−0.177241	−	0.0645105i	−0.429116	+	0.903249i	$0.641175\pi$
$312$	1.97381	+	0.718407i	0.111745	+	0.0406718i
$313$	−0.254994	−	1.44615i	−0.0144131	−	0.0817410i	0.976753	−	0.214369i	$-0.0687695\pi$
$313$	−0.254994	−	1.44615i	−0.0144131	−	0.0817410i	−0.991166	+	0.132628i	$0.957658\pi$
$314$	−15.5232	−	13.0255i	−0.876023	−	0.735070i
$315$	−4.83872	−	4.06017i	−0.272631	−	0.228765i
$316$	−1.03048	−	5.84414i	−0.0579690	−	0.328758i
$317$	15.3965	+	5.60387i	0.864754	+	0.314745i	0.736041	−	0.676937i	$-0.236693\pi$
$317$	15.3965	+	5.60387i	0.864754	+	0.314745i	0.128713	+	0.991682i	$0.458915\pi$
$318$	−14.6924	−	5.34761i	−0.823911	−	0.299879i
$319$	−3.40921	+	5.90493i	−0.190879	+	0.330612i
$320$	0.173648	−	0.984808i	0.00970723	−	0.0550524i
$321$	−29.6387	+	24.8698i	−1.65427	+	1.38810i
$322$	1.32354	+	2.29243i	0.0737579	+	0.127752i
$323$	1.71990	−	2.97896i	0.0956980	−	0.165754i
$324$	−1.80646	−	10.2449i	−0.100359	−	0.569162i
$325$	0.451103	+	0.781333i	0.0250227	+	0.0433406i
$326$	6.29949	−	2.29283i	0.348897	−	0.126988i
$327$	−35.8179			−1.98073
$328$	6.45884	−	2.35083i	0.356630	−	0.129803i
$329$	2.29195	−	12.9983i	0.126359	−	0.716620i
$330$	−3.37882	−	2.83517i	−0.185998	−	0.156071i
$331$	−21.1956	+	17.7852i	−1.16502	+	0.977565i	−0.999962	−	0.00871977i	$-0.997224\pi$
$331$	−21.1956	+	17.7852i	−1.16502	+	0.977565i	−0.165054	+	0.986284i	$0.552780\pi$
$332$	2.90403			0.159379
$333$	13.2872	−	6.34035i	0.728133	−	0.347449i
$334$	9.47040			0.518197
$335$	4.74623	−	3.98256i	0.259314	−	0.217590i
$336$	−4.65443	−	3.90553i	−0.253920	−	0.213064i
$337$	−0.690175	+	3.91418i	−0.0375962	+	0.213219i	−0.997818	−	0.0660183i	$-0.978970\pi$
$337$	−0.690175	+	3.91418i	−0.0375962	+	0.213219i	0.960222	+	0.279237i	$0.0900815\pi$
$338$	11.4511	−	4.16787i	0.622859	−	0.226702i
$339$	−20.8386			−1.13180
$340$	−0.686320	+	0.249800i	−0.0372209	+	0.0135473i
$341$	−5.14272	−	8.90746i	−0.278494	−	0.482366i
$342$	−1.97944	−	11.2259i	−0.107036	−	0.607030i
$343$	−9.38101	+	16.2484i	−0.506527	+	0.877330i
$344$	2.26296	+	3.91955i	0.122010	+	0.211328i
$345$	1.80898	−	1.51792i	0.0973924	−	0.0817219i
$346$	−0.699368	+	3.96631i	−0.0375982	+	0.213230i
$347$	−10.9452	+	18.9577i	−0.587572	+	1.01770i	0.406978	+	0.913438i	$0.366583\pi$
$347$	−10.9452	+	18.9577i	−0.587572	+	1.01770i	−0.994549	+	0.104266i	$0.966751\pi$
$348$	7.87383	+	2.86584i	0.422082	+	0.153625i
$349$	−8.55912	−	3.11526i	−0.458159	−	0.166756i	0.102622	−	0.994720i	$-0.467277\pi$
$349$	−8.55912	−	3.11526i	−0.458159	−	0.166756i	−0.560781	+	0.827964i	$0.689499\pi$
$350$	−0.453179	−	2.57010i	−0.0242234	−	0.137378i
$351$	0.932697	+	0.782626i	0.0497837	+	0.0417735i
$352$	−1.45128	−	1.21777i	−0.0773535	−	0.0649073i
$353$	−0.506686	−	2.87356i	−0.0269682	−	0.152944i	0.968350	−	0.249596i	$-0.0802978\pi$
$353$	−0.506686	−	2.87356i	−0.0269682	−	0.152944i	−0.995318	+	0.0966517i	$0.969187\pi$
$354$	−6.97983	−	2.54045i	−0.370974	−	0.135023i
$355$	−3.78032	−	1.37592i	−0.200638	−	0.0730264i
$356$	1.28576	−	2.22700i	0.0681451	−	0.118031i
$357$	−0.770590	+	4.37023i	−0.0407840	+	0.231297i
$358$	8.16307	−	6.84963i	0.431432	−	0.362014i
$359$	−15.8826	−	27.5094i	−0.838250	−	1.45189i	−0.891357	−	0.453302i	$-0.850246\pi$
$359$	−15.8826	−	27.5094i	−0.838250	−	1.45189i	0.0531070	−	0.998589i	$-0.483088\pi$
$360$	−1.21017	+	2.09608i	−0.0637818	+	0.110473i
$361$	0.552430	+	3.13299i	0.0290753	+	0.164894i
$362$	−4.14776	−	7.18414i	−0.218002	−	0.377590i
$363$	16.2131	−	5.90108i	0.850967	−	0.309727i
$364$	2.35453			0.123411
$365$	3.47151	−	1.26353i	0.181707	−	0.0661359i
$366$	5.58244	−	31.6596i	0.291799	−	1.65487i
$367$	−6.01617	−	5.04817i	−0.314041	−	0.263512i	0.472119	−	0.881535i	$-0.343489\pi$
$367$	−6.01617	−	5.04817i	−0.314041	−	0.263512i	−0.786160	+	0.618023i	$0.787934\pi$
$368$	0.777000	−	0.651980i	0.0405039	−	0.0339868i
$369$	−16.6359			−0.866031
$370$	5.88926	+	1.52203i	0.306168	+	0.0791266i
$371$	−17.5264			−0.909927
$372$	−9.68263	+	8.12469i	−0.502021	+	0.421246i
$373$	−6.94212	−	5.82513i	−0.359449	−	0.301614i	0.445122	−	0.895470i	$-0.353160\pi$
$373$	−6.94212	−	5.82513i	−0.359449	−	0.301614i	−0.804571	+	0.593856i	$0.797605\pi$
$374$	−0.240275	+	1.36267i	−0.0124243	+	0.0704618i
$375$	−2.18776	+	0.796279i	−0.112975	+	0.0411197i
$376$	−5.05751			−0.260821
$377$	−3.05125	+	1.11056i	−0.157147	+	0.0571970i
$378$	−1.76096	−	3.05008i	−0.0905742	−	0.156879i
$379$	2.23510	+	12.6759i	0.114809	+	0.651115i	0.986844	+	0.161672i	$0.0516888\pi$
$379$	2.23510	+	12.6759i	0.114809	+	0.651115i	−0.872035	+	0.489443i	$0.837200\pi$
$380$	2.35485	−	4.07872i	0.120801	−	0.209234i
$381$	7.15762	+	12.3974i	0.366696	+	0.635136i
$382$	12.2147	−	10.2494i	0.624961	−	0.524404i
$383$	−1.61809	+	9.17666i	−0.0826807	+	0.468905i	0.915152	+	0.403108i	$0.132070\pi$
$383$	−1.61809	+	9.17666i	−0.0826807	+	0.468905i	−0.997833	+	0.0657972i	$0.979041\pi$
$384$	−1.16408	+	2.01625i	−0.0594043	+	0.102891i
$385$	−4.64603	−	1.69102i	−0.236784	−	0.0861822i
$386$	−10.0968	−	3.67495i	−0.513916	−	0.187050i
$387$	−1.90219	−	10.7879i	−0.0966938	−	0.548378i
$388$	6.82544	+	5.72723i	0.346509	+	0.290756i
$389$	21.1912	+	17.7815i	1.07443	+	0.901558i	0.995447	−	0.0953178i	$-0.0303867\pi$
$389$	21.1912	+	17.7815i	1.07443	+	0.901558i	0.0789878	+	0.996876i	$0.474831\pi$
$390$	−0.364745	−	2.06857i	−0.0184696	−	0.104746i
$391$	−0.696135	−	0.253372i	−0.0352051	−	0.0128136i
$392$	0.177788	+	0.0647095i	0.00897964	+	0.00326832i
$393$	11.2794	−	19.5365i	0.568970	−	0.985485i
$394$	0.540612	−	3.06596i	0.0272356	−	0.154461i
$395$	−4.54593	+	3.81449i	−0.228731	+	0.191928i
$396$	2.29269	+	3.97105i	0.115212	+	0.199553i
$397$	14.8076	−	25.6474i	0.743170	−	1.28721i	−0.207875	−	0.978155i	$-0.566655\pi$
$397$	14.8076	−	25.6474i	0.743170	−	1.28721i	0.951045	−	0.309053i	$-0.100012\pi$
$398$	−1.68965	−	9.58246i	−0.0846943	−	0.480325i
$399$	−14.3079	−	24.7820i	−0.716292	−	1.24065i
$400$	−0.939693	+	0.342020i	−0.0469846	+	0.0171010i
$401$	14.5268			0.725432			0.362716	−	0.931900i	$-0.381849\pi$
$401$	14.5268			0.725432			0.362716	+	0.931900i	$0.381849\pi$
$402$	−13.5548	+	4.93355i	−0.676053	+	0.246063i
$403$	0.850554	−	4.82373i	0.0423691	−	0.240287i
$404$	−14.9761	−	12.5664i	−0.745088	−	0.625203i
$405$	−7.96913	+	6.68689i	−0.395989	+	0.332274i
$406$	9.39260			0.466147
$407$	8.07583	−	8.22073i	0.400304	−	0.407487i
$408$	1.70041			0.0841829
$409$	19.9653	−	16.7529i	0.987223	−	0.828378i	0.00205933	−	0.999998i	$-0.499344\pi$
$409$	19.9653	−	16.7529i	0.987223	−	0.828378i	0.985163	+	0.171620i	$0.0549001\pi$
$410$	−5.26530	−	4.41811i	−0.260034	−	0.218195i
$411$	−7.86753	+	44.6190i	−0.388077	+	2.20089i
$412$	3.87691	−	1.41108i	0.191002	−	0.0695189i
$413$	−8.32615			−0.409703
$414$	−2.30691	+	0.839647i	−0.113378	+	0.0412664i
$415$	−1.45201	−	2.51496i	−0.0712766	−	0.123455i
$416$	−0.156666	−	0.888499i	−0.00768120	−	0.0435623i
$417$	−23.0966	+	40.0045i	−1.13105	+	1.95903i
$418$	−4.46130	−	7.72719i	−0.218209	−	0.377949i
$419$	−12.9327	+	10.8518i	−0.631804	+	0.530147i	−0.901489	−	0.432802i	$-0.857525\pi$
$419$	−12.9327	+	10.8518i	−0.631804	+	0.530147i	0.269685	+	0.962949i	$0.413080\pi$
$420$	−1.05507	+	5.98362i	−0.0514823	+	0.291971i
$421$	7.13333	−	12.3553i	0.347657	−	0.602160i	−0.638176	−	0.769891i	$-0.720311\pi$
$421$	7.13333	−	12.3553i	0.347657	−	0.602160i	0.985833	+	0.167731i	$0.0536440\pi$
$422$	−9.86671	−	3.59119i	−0.480304	−	0.174816i
$423$	11.5027	+	4.18664i	0.559281	+	0.203562i
$424$	1.16618	+	6.61372i	0.0566346	+	0.321191i
$425$	0.559493	+	0.469470i	0.0271394	+	0.0227727i
$426$	7.17480	+	6.02037i	0.347620	+	0.291688i
$427$	−6.25763	−	35.4888i	−0.302828	−	1.71742i
$428$	15.6162	+	5.68385i	0.754840	+	0.274739i
$429$	−3.73940	−	1.36103i	−0.180540	−	0.0657112i
$430$	2.26296	−	3.91955i	0.109129	−	0.189018i
$431$	3.76967	−	21.3789i	0.181579	−	1.02978i	−0.748694	−	0.662915i	$-0.769319\pi$
$431$	3.76967	−	21.3789i	0.181579	−	1.02978i	0.930273	−	0.366868i	$-0.119570\pi$
$432$	−1.03380	+	0.867458i	−0.0497386	+	0.0417356i
$433$	7.18328	+	12.4418i	0.345207	+	0.597915i	0.985391	−	0.170306i	$-0.0544755\pi$
$433$	7.18328	+	12.4418i	0.345207	+	0.597915i	−0.640185	+	0.768221i	$0.721142\pi$
$434$	−7.08427	+	12.2703i	−0.340056	+	0.588994i
$435$	−1.45502	−	8.25186i	−0.0697631	−	0.395646i
$436$	7.69230	+	13.3235i	0.368394	+	0.638078i
$437$	4.48897	−	1.63385i	0.214736	−	0.0781577i
$438$	−8.60094			−0.410969
$439$	−21.1464	+	7.69664i	−1.00926	+	0.367341i	−0.793149	−	0.609028i	$-0.791560\pi$
$439$	−21.1464	+	7.69664i	−1.00926	+	0.367341i	−0.216112	+	0.976369i	$0.569338\pi$
$440$	−0.328979	+	1.86573i	−0.0156834	+	0.0889452i
$441$	−0.350791	−	0.294348i	−0.0167043	−	0.0140166i
$442$	−0.504778	+	0.423559i	−0.0240098	+	0.0201466i
$443$	−4.37933			−0.208068			−0.104034	−	0.994574i	$-0.533175\pi$
$443$	−4.37933			−0.208068			−0.104034	+	0.994574i	$0.533175\pi$
$444$	−11.6723	−	8.01933i	−0.553944	−	0.380581i
$445$	−2.57152			−0.121902
$446$	3.31613	−	2.78256i	0.157023	−	0.131758i
$447$	28.7119	+	24.0921i	1.35803	+	1.13952i
$448$	−0.453179	+	2.57010i	−0.0214107	+	0.121426i
$449$	−23.2804	+	8.47339i	−1.09867	+	0.399884i	−0.826827	−	0.562457i	$-0.809856\pi$
$449$	−23.2804	+	8.47339i	−1.09867	+	0.399884i	−0.271846	+	0.962341i	$0.587634\pi$
$450$	2.42035			0.114096
$451$	−12.2364	+	4.45367i	−0.576187	+	0.209715i
$452$	4.47532	+	7.75149i	0.210501	+	0.364599i
$453$	6.29086	+	35.6772i	0.295570	+	1.67626i
$454$	0.929773	−	1.61041i	0.0436364	−	0.0755804i
$455$	−1.17727	−	2.03909i	−0.0551911	−	0.0955938i
$456$	−8.39965	+	7.04814i	−0.393350	+	0.330060i
$457$	1.79645	−	10.1882i	0.0840346	−	0.476584i	−0.913526	−	0.406780i	$-0.866652\pi$
$457$	1.79645	−	10.1882i	0.0840346	−	0.476584i	0.997561	−	0.0698037i	$-0.0222373\pi$
$458$	13.3402	−	23.1059i	0.623345	−	1.07967i
$459$	0.926206	+	0.337111i	0.0432316	+	0.0157350i
$460$	−0.953132	−	0.346912i	−0.0444400	−	0.0161748i
$461$	1.57769	+	8.94752i	0.0734803	+	0.416727i	0.999253	+	0.0386467i	$0.0123047\pi$
$461$	1.57769	+	8.94752i	0.0734803	+	0.416727i	−0.925773	+	0.378081i	$0.876584\pi$
$462$	8.81788	+	7.39908i	0.410245	+	0.344236i
$463$	31.2184	+	26.1954i	1.45084	+	1.21740i	0.931962	+	0.362556i	$0.118096\pi$
$463$	31.2184	+	26.1954i	1.45084	+	1.21740i	0.518882	+	0.854846i	$0.326349\pi$
$464$	−0.624967	−	3.54436i	−0.0290133	−	0.164543i
$465$	11.8775	+	4.32306i	0.550806	+	0.200477i
$466$	−25.6761	−	9.34534i	−1.18942	−	0.432915i
$467$	−6.92153	+	11.9884i	−0.320290	+	0.554759i	−0.980548	−	0.196280i	$-0.937114\pi$
$467$	−6.92153	+	11.9884i	−0.320290	+	0.554759i	0.660258	+	0.751039i	$0.270447\pi$
$468$	−0.379187	+	2.15048i	−0.0175279	+	0.0994058i
$469$	−12.3865	+	10.3935i	−0.571954	+	0.479927i
$470$	2.52875	+	4.37993i	0.116643	+	0.202031i
$471$	23.5890	−	40.8574i	1.08692	−	1.88261i
$472$	0.554007	+	3.14193i	0.0255003	+	0.144619i
$473$	−4.28720	−	7.42564i	−0.197125	−	0.341431i
$474$	12.9828	−	4.72535i	0.596320	−	0.217043i
$475$	−4.70970			−0.216096
$476$	1.79112	−	0.651916i	0.0820960	−	0.0298805i
$477$	2.82255	−	16.0075i	0.129236	−	0.732933i
$478$	16.7527	+	14.0572i	0.766251	+	0.642961i
$479$	4.50262	−	3.77815i	0.205730	−	0.172628i	−0.534101	−	0.845421i	$-0.679350\pi$
$479$	4.50262	−	3.77815i	0.205730	−	0.172628i	0.739831	+	0.672793i	$0.234905\pi$
$480$	2.32816			0.106266
$481$	5.46255	−	0.526893i	0.249071	−	0.0240242i
$482$	1.93778			0.0882634
$483$	−4.72100	+	3.96139i	−0.214813	+	0.180249i
$484$	−5.67702	−	4.76359i	−0.258046	−	0.216527i
$485$	1.54720	−	8.77462i	0.0702548	−	0.398435i
$486$	18.9547	−	6.89896i	0.859805	−	0.312943i
$487$	−27.8395			−1.26153			−0.630763	−	0.775975i	$-0.717258\pi$
$487$	−27.8395			−1.26153			−0.630763	+	0.775975i	$0.717258\pi$
$488$	−12.9756	+	4.72272i	−0.587376	+	0.213787i
$489$	7.80375	+	13.5165i	0.352898	+	0.611237i
$490$	−0.0328539	−	0.186324i	−0.00148419	−	0.00841724i
$491$	5.51058	−	9.54460i	0.248689	−	0.430742i	−0.714473	−	0.699663i	$-0.753334\pi$
$491$	5.51058	−	9.54460i	0.248689	−	0.430742i	0.963162	+	0.268921i	$0.0866670\pi$
$492$	8.00115	+	13.8584i	0.360720	+	0.624785i
$493$	−2.01364	+	1.68964i	−0.0906897	+	0.0760977i
$494$	0.737852	−	4.18457i	0.0331975	−	0.188273i
$495$	2.29269	−	3.97105i	0.103049	−	0.178486i
$496$	5.10166	+	1.85685i	0.229071	+	0.0833752i
$497$	9.86569	+	3.59082i	0.442537	+	0.161070i
$498$	1.17404	+	6.65834i	0.0526102	+	0.298367i
$499$	1.79214	+	1.50378i	0.0802272	+	0.0673186i	0.682019	−	0.731334i	$-0.261102\pi$
$499$	1.79214	+	1.50378i	0.0802272	+	0.0673186i	−0.601792	+	0.798653i	$0.705546\pi$
$500$	0.766044	+	0.642788i	0.0342585	+	0.0287463i
$501$	3.82871	+	21.7137i	0.171054	+	0.970095i
$502$	−4.63538	−	1.68714i	−0.206887	−	0.0753007i
$503$	−10.4719	−	3.81145i	−0.466918	−	0.169944i	0.0978380	−	0.995202i	$-0.468807\pi$
$503$	−10.4719	−	3.81145i	−0.466918	−	0.169944i	−0.564756	+	0.825258i	$0.691030\pi$
$504$	3.15825	−	5.47025i	0.140680	−	0.243665i
$505$	−3.39480	+	19.2529i	−0.151067	+	0.856741i
$506$	−1.47204	+	1.23518i	−0.0654400	+	0.0549107i
$507$	14.1855	+	24.5701i	0.630002	+	1.09119i
$508$	3.07436	−	5.32495i	0.136403	−	0.236256i
$509$	−3.21555	−	18.2363i	−0.142527	−	0.808309i	−0.969320	−	0.245803i	$-0.920948\pi$
$509$	−3.21555	−	18.2363i	−0.142527	−	0.808309i	0.826793	−	0.562506i	$-0.190163\pi$
$510$	−0.850206	−	1.47260i	−0.0376478	−	0.0652078i
$511$	−9.05977	+	3.29749i	−0.400781	+	0.145872i
$512$	1.00000			0.0441942
$513$	−5.97256	+	2.17383i	−0.263695	+	0.0959771i
$514$	−3.00334	+	17.0328i	−0.132472	+	0.751284i
$515$	−3.16049	−	2.65196i	−0.139268	−	0.116859i
$516$	−8.07186	+	6.77309i	−0.355344	+	0.298169i
$517$	9.58150			0.421394
$518$	−15.3695	−	3.97212i	−0.675298	−	0.174525i
$519$	−9.37668			−0.411590
$520$	−0.691130	+	0.579927i	−0.0303080	+	0.0254315i
$521$	−24.0444	−	20.1756i	−1.05340	−	0.883911i	−0.0599567	−	0.998201i	$-0.519096\pi$
$521$	−24.0444	−	20.1756i	−1.05340	−	0.883911i	−0.993447	+	0.114290i	$0.963541\pi$
$522$	−1.51264	+	8.57859i	−0.0662063	+	0.375475i
$523$	−3.96478	+	1.44306i	−0.173368	+	0.0631007i	−0.427246	−	0.904136i	$-0.640516\pi$
$523$	−3.96478	+	1.44306i	−0.173368	+	0.0631007i	0.253878	+	0.967236i	$0.418294\pi$
$524$	−9.68951			−0.423288
$525$	5.70951	−	2.07809i	0.249183	−	0.0906953i
$526$	14.5742	+	25.2433i	0.635465	+	1.10066i
$527$	−0.688552	−	3.90497i	−0.0299938	−	0.170103i
$528$	2.20537	−	3.81981i	0.0959763	−	0.166236i
$529$	10.9856	+	19.0276i	0.477635	+	0.827287i
$530$	5.14456	−	4.31680i	0.223465	−	0.187510i
$531$	1.34089	−	7.60457i	0.0581897	−	0.330010i
$532$	−6.14558	+	10.6445i	−0.266445	+	0.461496i
$533$	−5.82720	−	2.12093i	−0.252404	−	0.0918676i
$534$	5.62586	+	2.04765i	0.243455	+	0.0886103i
$535$	−2.88577	−	16.3660i	−0.124763	−	0.707564i
$536$	4.74623	+	3.98256i	0.205006	+	0.172020i
$537$	19.0050	+	15.9471i	0.820125	+	0.688167i
$538$	4.79052	+	27.1684i	0.206534	+	1.17131i
$539$	−0.336821	−	0.122593i	−0.0145079	−	0.00528045i
$540$	1.26814	+	0.461565i	0.0545720	+	0.0198626i
$541$	3.73923	−	6.47653i	0.160762	−	0.278448i	−0.774380	−	0.632721i	$-0.781938\pi$
$541$	3.73923	−	6.47653i	0.160762	−	0.278448i	0.935142	+	0.354273i	$0.115272\pi$
$542$	−3.09215	+	17.5365i	−0.132819	+	0.753256i
$543$	14.7949	−	12.4144i	0.634909	−	0.532752i
$544$	−0.365183	−	0.632516i	−0.0156571	−	0.0271189i
$545$	7.69230	−	13.3235i	0.329502	−	0.570714i
$546$	0.951894	+	5.39846i	0.0407373	+	0.231033i
$547$	−20.8703	−	36.1484i	−0.892348	−	1.54559i	−0.837053	−	0.547122i	$-0.815723\pi$
$547$	−20.8703	−	36.1484i	−0.892348	−	1.54559i	−0.0552951	−	0.998470i	$-0.517610\pi$
$548$	18.2869	−	6.65589i	0.781178	−	0.284326i
$549$	33.4209			1.42637
$550$	1.78026	−	0.647961i	0.0759105	−	0.0276292i
$551$	2.94341	−	16.6929i	0.125393	−	0.711141i
$552$	1.80898	+	1.51792i	0.0769955	+	0.0646069i
$553$	11.8637	−	9.95487i	0.504498	−	0.423324i
$554$	−6.12945			−0.260415
$555$	−1.10878	+	14.1182i	−0.0470653	+	0.599284i
$556$	19.8411			0.841449
$557$	−9.59866	+	8.05424i	−0.406708	+	0.341269i	−0.823080	−	0.567926i	$-0.807746\pi$
$557$	−9.59866	+	8.05424i	−0.406708	+	0.341269i	0.416371	+	0.909195i	$0.363302\pi$
$558$	−10.0660	−	8.44639i	−0.426128	−	0.357564i
$559$	0.709058	−	4.02127i	0.0299900	−	0.170082i
$560$	2.45236	−	0.892588i	0.103631	−	0.0377187i
$561$	−3.22145			−0.136010
$562$	−5.35088	+	1.94756i	−0.225713	+	0.0821529i
$563$	−6.65310	−	11.5235i	−0.280395	−	0.485658i	0.691087	−	0.722771i	$-0.257132\pi$
$563$	−6.65310	−	11.5235i	−0.280395	−	0.485658i	−0.971482	+	0.237113i	$0.923799\pi$
$564$	−2.04466	−	11.5958i	−0.0860955	−	0.488272i
$565$	4.47532	−	7.75149i	0.188278	−	0.326107i
$566$	−11.6704	−	20.2138i	−0.490544	−	0.849648i
$567$	20.7974	−	17.4511i	0.873411	−	0.732879i
$568$	0.698574	−	3.96181i	0.0293115	−	0.166234i
$569$	7.06347	−	12.2343i	0.296116	−	0.512888i	−0.679128	−	0.734020i	$-0.737642\pi$
$569$	7.06347	−	12.2343i	0.296116	−	0.512888i	0.975244	+	0.221132i	$0.0709751\pi$
$570$	10.3037	+	3.75024i	0.431574	+	0.157080i
$571$	39.8976	+	14.5215i	1.66966	+	0.607708i	0.991837	−	0.127515i	$-0.0407000\pi$
$571$	39.8976	+	14.5215i	1.66966	+	0.607708i	0.677826	+	0.735222i	$0.262922\pi$
$572$	0.296806	+	1.68327i	0.0124101	+	0.0703811i
$573$	28.4379	+	23.8623i	1.18801	+	0.996860i
$574$	13.7411	+	11.5302i	0.573543	+	0.481260i
$575$	0.176132	+	0.998892i	0.00734520	+	0.0416567i
$576$	−2.27438	−	0.827808i	−0.0947660	−	0.0344920i
$577$	18.7037	+	6.80757i	0.778643	+	0.283403i	0.700607	−	0.713547i	$-0.252913\pi$
$577$	18.7037	+	6.80757i	0.778643	+	0.283403i	0.0780366	+	0.996950i	$0.475135\pi$
$578$	8.23328	−	14.2605i	0.342459	−	0.593157i
$579$	4.34394	−	24.6357i	0.180528	−	1.02383i
$580$	−2.75702	+	2.31342i	−0.114479	+	0.0960595i
$581$	3.78940	+	6.56343i	0.157211	+	0.272297i
$582$	−10.3720	+	17.9647i	−0.429931	+	0.744663i
$583$	−2.20934	−	12.5298i	−0.0915014	−	0.518930i
$584$	1.84715	+	3.19936i	0.0764356	+	0.132390i
$585$	2.05196	−	0.746853i	0.0848382	−	0.0308786i
$586$	−29.2438			−1.20805
$587$	0.160357	−	0.0583651i	0.00661863	−	0.00240899i	−0.338709	−	0.940891i	$-0.609990\pi$
$587$	0.160357	−	0.0583651i	0.00661863	−	0.00240899i	0.345327	+	0.938482i	$0.387768\pi$
$588$	−0.0764892	+	0.433792i	−0.00315436	+	0.0178893i
$589$	19.5873	+	16.4357i	0.807079	+	0.677219i
$590$	2.44399	−	2.05075i	0.100617	−	0.0844280i
$591$	7.24818			0.298150
$592$	−0.476248	+	6.06409i	−0.0195737	+	0.249233i
$593$	42.3943			1.74093			0.870463	−	0.492233i	$-0.163819\pi$
$593$	42.3943			1.74093			0.870463	+	0.492233i	$0.163819\pi$
$594$	1.95854	−	1.64341i	0.0803599	−	0.0674299i
$595$	−1.46014	−	1.22520i	−0.0598598	−	0.0502283i
$596$	2.79553	−	15.8542i	0.114509	−	0.649415i
$597$	21.2875	−	7.74802i	0.871240	−	0.317105i
$598$	−0.915109			−0.0374216
$599$	20.4999	−	7.46137i	0.837605	−	0.304863i	0.112628	−	0.993637i	$-0.464073\pi$
$599$	20.4999	−	7.46137i	0.837605	−	0.304863i	0.724976	+	0.688774i	$0.241851\pi$
$600$	−1.16408	−	2.01625i	−0.0475234	−	0.0823130i
$601$	1.11119	+	6.30186i	0.0453263	+	0.257058i	0.999048	−	0.0436337i	$-0.0138935\pi$
$601$	1.11119	+	6.30186i	0.0453263	+	0.257058i	−0.953721	+	0.300692i	$0.902782\pi$
$602$	−5.90575	+	10.2291i	−0.240700	+	0.416905i
$603$	−7.49795	−	12.9868i	−0.305340	−	0.528864i
$604$	11.9201	−	10.0022i	0.485022	−	0.406982i
$605$	−1.28688	+	7.29824i	−0.0523190	+	0.296716i
$606$	22.7577	−	39.4174i	0.924467	−	1.60122i
$607$	−41.3009	−	15.0323i	−1.67635	−	0.610141i	−0.683548	−	0.729906i	$-0.739564\pi$
$607$	−41.3009	−	15.0323i	−1.67635	−	0.610141i	−0.992802	+	0.119764i	$0.961786\pi$
$608$	4.42567	+	1.61081i	0.179485	+	0.0653271i
$609$	3.79725	+	21.5353i	0.153872	+	0.872654i
$610$	10.5778	+	8.87581i	0.428282	+	0.359371i
$611$	3.49539	+	2.93298i	0.141408	+	0.118656i
$612$	0.306965	+	1.74088i	0.0124083	+	0.0703711i
$613$	−7.68792	−	2.79817i	−0.310512	−	0.113017i	0.182064	−	0.983287i	$-0.441722\pi$
$613$	−7.68792	−	2.79817i	−0.310512	−	0.113017i	−0.492576	+	0.870270i	$0.663945\pi$
$614$	−14.3247	−	5.21375i	−0.578097	−	0.210410i
$615$	8.00115	−	13.8584i	0.322637	−	0.558825i
$616$	0.858552	−	4.86909i	0.0345921	−	0.196181i
$617$	−24.9005	+	20.8940i	−1.00246	+	0.841162i	−0.987323	−	0.158724i	$-0.949262\pi$
$617$	−24.9005	+	20.8940i	−1.00246	+	0.841162i	−0.0151345	+	0.999885i	$0.504818\pi$
$618$	4.80268	+	8.31848i	0.193192	+	0.334618i
$619$	−12.9200	+	22.3781i	−0.519298	+	0.899451i	0.480450	+	0.877022i	$0.340473\pi$
$619$	−12.9200	+	22.3781i	−0.519298	+	0.899451i	−0.999748	+	0.0224287i	$0.992860\pi$
$620$	−0.942749	−	5.34660i	−0.0378617	−	0.214724i
$621$	0.684413	+	1.18544i	0.0274645	+	0.0475700i
$622$	−3.12568	+	1.13765i	−0.125328	+	0.0456158i
$623$	6.71102			0.268871
$624$	1.97381	−	0.718407i	0.0790156	−	0.0287593i
$625$	0.173648	−	0.984808i	0.00694593	−	0.0393923i
$626$	−1.12490	−	0.943904i	−0.0449601	−	0.0377260i
$627$	15.9132	−	13.3528i	0.635513	−	0.533259i
$628$	−20.2640			−0.808624
$629$	4.00955	−	1.91327i	0.159871	−	0.0762870i
$630$	−6.31651			−0.251656
$631$	9.26344	−	7.77295i	0.368772	−	0.309436i	−0.439504	−	0.898241i	$-0.644846\pi$
$631$	9.26344	−	7.77295i	0.368772	−	0.309436i	0.808275	+	0.588805i	$0.200401\pi$
$632$	−4.54593	−	3.81449i	−0.180827	−	0.151732i
$633$	4.24493	−	24.0742i	0.168721	−	0.956863i
$634$	15.3965	−	5.60387i	0.611474	−	0.222558i
$635$	−6.14872			−0.244005
$636$	−14.6924	+	5.34761i	−0.582593	+	0.212046i
$637$	−0.0853477	−	0.147827i	−0.00338160	−	0.00585710i
$638$	1.18401	+	6.71484i	0.0468753	+	0.265843i
$639$	−4.86844	+	8.43239i	−0.192593	+	0.333580i
$640$	−0.500000	−	0.866025i	−0.0197642	−	0.0342327i
$641$	9.22513	−	7.74080i	0.364371	−	0.305743i	−0.442159	−	0.896937i	$-0.645787\pi$
$641$	9.22513	−	7.74080i	0.364371	−	0.305743i	0.806530	+	0.591193i	$0.201343\pi$
$642$	−6.71854	+	38.1027i	−0.265159	+	1.50379i
$643$	−12.8086	+	22.1851i	−0.505122	+	0.874897i	0.494861	+	0.868972i	$0.335219\pi$
$643$	−12.8086	+	22.1851i	−0.505122	+	0.874897i	−0.999982	+	0.00592443i	$0.998114\pi$
$644$	2.48744	+	0.905353i	0.0980187	+	0.0356759i
$645$	9.90160	+	3.60389i	0.389875	+	0.141903i
$646$	−0.597317	−	3.38755i	−0.0235011	−	0.133281i
$647$	−10.9664	−	9.20187i	−0.431132	−	0.361763i	0.401247	−	0.915970i	$-0.368577\pi$
$647$	−10.9664	−	9.20187i	−0.431132	−	0.361763i	−0.832379	+	0.554207i	$0.813022\pi$
$648$	−7.96913	−	6.68689i	−0.313057	−	0.262686i
$649$	−1.04957	−	5.95243i	−0.0411994	−	0.233653i
$650$	0.847796	+	0.308573i	0.0332533	+	0.0121032i
$651$	−30.9973	−	11.2821i	−1.21488	−	0.442181i
$652$	3.35189	−	5.80564i	0.131270	−	0.227367i
$653$	1.49795	−	8.49527i	0.0586191	−	0.332446i	−0.941369	−	0.337380i	$-0.890459\pi$
$653$	1.49795	−	8.49527i	0.0586191	−	0.332446i	0.999988	+	0.00493392i	$0.00157052\pi$
$654$	−27.4381	+	23.0233i	−1.07291	+	0.900282i
$655$	4.84476	+	8.39137i	0.189300	+	0.327878i
$656$	3.43668	−	5.95250i	0.134180	−	0.232406i
$657$	−1.55267	−	8.80565i	−0.0605756	−	0.343541i
$658$	−6.59942	−	11.4305i	−0.257272	−	0.445608i
$659$	9.95192	−	3.62220i	0.387672	−	0.141101i	−0.140829	−	0.990034i	$-0.544977\pi$
$659$	9.95192	−	3.62220i	0.387672	−	0.141101i	0.528501	+	0.848933i	$0.322754\pi$
$660$	−4.41073			−0.171688
$661$	14.2816	−	5.19809i	0.555491	−	0.202182i	−0.0489933	−	0.998799i	$-0.515601\pi$
$661$	14.2816	−	5.19809i	0.555491	−	0.202182i	0.604485	+	0.796617i	$0.293379\pi$
$662$	−4.80466	+	27.2486i	−0.186738	+	1.05905i
$663$	−1.17521	−	0.986114i	−0.0456412	−	0.0382975i
$664$	2.22461	−	1.86667i	0.0863318	−	0.0724410i
$665$	12.2912			0.476631
$666$	6.10307	−	13.3978i	0.236489	−	0.519155i
$667$	−3.65051			−0.141348
$668$	7.25475	−	6.08745i	0.280695	−	0.235531i
$669$	7.72048	+	6.47826i	0.298491	+	0.250464i
$670$	1.07588	−	6.10163i	0.0415650	−	0.235727i
$671$	24.5824	−	8.94724i	0.948991	−	0.345405i
$672$	−6.07593			−0.234384
$673$	22.5762	−	8.21707i	0.870250	−	0.316745i	0.131981	−	0.991252i	$-0.457866\pi$
$673$	22.5762	−	8.21707i	0.870250	−	0.316745i	0.738268	+	0.674507i	$0.235644\pi$
$674$	1.98728	+	3.44207i	0.0765471	+	0.132584i
$675$	−0.234343	−	1.32902i	−0.00901985	−	0.0511541i
$676$	6.09301	−	10.5534i	0.234347	−	0.405900i
$677$	−1.63131	−	2.82551i	−0.0626962	−	0.108593i	0.832974	−	0.553313i	$-0.186637\pi$
$677$	−1.63131	−	2.82551i	−0.0626962	−	0.108593i	−0.895670	+	0.444720i	$0.853303\pi$
$678$	−15.9633	+	13.3948i	−0.613066	+	0.514423i
$679$	−4.03781	+	22.8996i	−0.154957	+	0.878805i
$680$	−0.365183	+	0.632516i	−0.0140041	+	0.0242559i
$681$	4.06824	+	1.48072i	0.155895	+	0.0567412i
$682$	−9.66516	−	3.51783i	−0.370098	−	0.134705i
$683$	3.46538	+	19.6532i	0.132599	+	0.752007i	0.976502	+	0.215511i	$0.0691416\pi$
$683$	3.46538	+	19.6532i	0.132599	+	0.752007i	−0.843902	+	0.536497i	$0.819747\pi$
$684$	−8.73223	−	7.32722i	−0.333885	−	0.280163i
$685$	−14.9076	−	12.5090i	−0.569591	−	0.477944i
$686$	3.25799	+	18.4770i	0.124391	+	0.705454i
$687$	58.3702	+	21.2450i	2.22696	+	0.810547i
$688$	4.25297	+	1.54795i	0.162143	+	0.0590152i
$689$	3.02949	−	5.24724i	0.115414	−	0.199904i
$690$	0.410063	−	2.32558i	0.0156108	−	0.0885335i
$691$	−36.8925	+	30.9565i	−1.40346	+	1.17764i	−0.443915	+	0.896069i	$0.646411\pi$
$691$	−36.8925	+	30.9565i	−1.40346	+	1.17764i	−0.959541	+	0.281570i	$0.909145\pi$
$692$	2.01375	+	3.48792i	0.0765513	+	0.132591i
$693$	−5.98335	+	10.3635i	−0.227289	+	0.393675i
$694$	3.80125	+	21.5579i	0.144293	+	0.818328i
$695$	−9.92053	−	17.1829i	−0.376307	−	0.651783i
$696$	7.87383	−	2.86584i	0.298457	−	0.108629i
$697$	−5.02007			−0.190149
$698$	−8.55912	+	3.11526i	−0.323967	+	0.117915i
$699$	11.0466	−	62.6482i	0.417820	−	2.36957i
$700$	−1.99919	−	1.67752i	−0.0755621	−	0.0634041i
$701$	−30.3828	+	25.4942i	−1.14754	+	0.962903i	−0.999659	−	0.0261012i	$-0.991691\pi$
$701$	−30.3828	+	25.4942i	−1.14754	+	0.962903i	−0.147884	+	0.989005i	$0.547246\pi$
$702$	1.21755			0.0459534
$703$	−11.8758	+	26.0705i	−0.447906	+	0.983269i
$704$	−1.89451			−0.0714021
$705$	−9.01995	+	7.56863i	−0.339711	+	0.285051i
$706$	−2.23523	−	1.87558i	−0.0841241	−	0.0705885i
$707$	8.85959	−	50.2452i	0.333199	−	1.88967i
$708$	−6.97983	+	2.54045i	−0.262318	+	0.0954759i
$709$	−35.3134			−1.32622			−0.663111	−	0.748521i	$-0.730764\pi$
$709$	−35.3134			−1.32622			−0.663111	+	0.748521i	$0.730764\pi$
$710$	−3.78032	+	1.37592i	−0.141873	+	0.0516375i
$711$	7.18152	+	12.4388i	0.269328	+	0.466490i
$712$	−0.446539	−	2.53245i	−0.0167348	−	0.0949076i
$713$	2.75336	−	4.76896i	0.103114	−	0.178599i
$714$	2.21883	+	3.84312i	0.0830375	+	0.143825i
$715$	1.30935	−	1.09868i	0.0489670	−	0.0410882i
$716$	1.85042	−	10.4942i	0.0691534	−	0.392188i
$717$	−25.4574	+	44.0936i	−0.950725	+	1.64670i
$718$	−29.8495	−	10.8643i	−1.11397	−	0.405453i
$719$	3.03639	+	1.10516i	0.113238	+	0.0412154i	0.398018	−	0.917378i	$-0.369698\pi$
$719$	3.03639	+	1.10516i	0.113238	+	0.0412154i	−0.284780	+	0.958593i	$0.591920\pi$
$720$	0.420289	+	2.38358i	0.0156632	+	0.0888307i
$721$	8.24808	+	6.92096i	0.307175	+	0.257750i
$722$	2.43703	+	2.04491i	0.0906969	+	0.0761037i
$723$	0.783408	+	4.44293i	0.0291352	+	0.165234i
$724$	−7.79525	−	2.83724i	−0.289708	−	0.105445i
$725$	3.38199	+	1.23094i	0.125604	+	0.0457161i
$726$	8.62681	−	14.9421i	0.320171	−	0.554552i
$727$	5.30683	−	30.0966i	0.196820	−	1.11622i	−0.712984	−	0.701180i	$-0.752657\pi$
$727$	5.30683	−	30.0966i	0.196820	−	1.11622i	0.909804	−	0.415039i	$-0.136232\pi$
$728$	1.80368	−	1.51346i	0.0668487	−	0.0560927i
$729$	7.87652	+	13.6425i	0.291723	+	0.505279i
$730$	1.84715	−	3.19936i	0.0683661	−	0.118414i
$731$	−0.574007	−	3.25535i	−0.0212304	−	0.120404i
$732$	−16.0740	−	27.8410i	−0.594112	−	1.02903i
$733$	−22.4280	+	8.16313i	−0.828397	+	0.301512i	−0.721201	−	0.692726i	$-0.756410\pi$
$733$	−22.4280	+	8.16313i	−0.828397	+	0.301512i	−0.107196	+	0.994238i	$0.534187\pi$
$734$	−7.85355			−0.289880
$735$	0.413919	−	0.150654i	0.0152676	−	0.00555697i
$736$	0.176132	−	0.998892i	0.00649230	−	0.0368196i
$737$	−8.99178	−	7.54500i	−0.331217	−	0.277924i
$738$	−12.7438	+	10.6934i	−0.469107	+	0.393628i
$739$	−44.6270			−1.64163			−0.820816	−	0.571193i	$-0.806481\pi$
$739$	−44.6270			−1.64163			−0.820816	+	0.571193i	$0.806481\pi$
$740$	5.48978	−	2.61960i	0.201808	−	0.0962985i
$741$	9.89265			0.363416
$742$	−13.4260	+	11.2658i	−0.492885	+	0.413580i
$743$	−24.9791	−	20.9600i	−0.916395	−	0.768946i	0.0569300	−	0.998378i	$-0.481869\pi$
$743$	−24.9791	−	20.9600i	−0.916395	−	0.768946i	−0.973325	+	0.229432i	$0.926313\pi$
$744$	−2.19487	+	12.4478i	−0.0804680	+	0.456357i
$745$	−15.1279	+	5.50612i	−0.554245	+	0.201729i
$746$	−9.06229			−0.331794
$747$	−6.60487	+	2.40398i	−0.241660	+	0.0879569i
$748$	0.691844	+	1.19831i	0.0252963	+	0.0438145i
$749$	7.53113	+	42.7112i	0.275182	+	1.56063i
$750$	−1.16408	+	2.01625i	−0.0425063	+	0.0736230i
$751$	5.33478	+	9.24011i	0.194669	+	0.337176i	0.946792	−	0.321846i	$-0.104303\pi$
$751$	5.33478	+	9.24011i	0.194669	+	0.337176i	−0.752123	+	0.659023i	$0.770970\pi$
$752$	−3.87427	+	3.25090i	−0.141280	+	0.118548i
$753$	1.99427	−	11.3100i	0.0726751	−	0.412161i
$754$	−1.62354	+	2.81205i	−0.0591257	+	0.102409i
$755$	−14.6222	−	5.32204i	−0.532156	−	0.193689i
$756$	−3.30953	−	1.20457i	−0.120366	−	0.0438098i
$757$	−8.57906	−	48.6543i	−0.311811	−	1.76837i	−0.589568	−	0.807719i	$-0.700702\pi$
$757$	−8.57906	−	48.6543i	−0.311811	−	1.76837i	0.277757	−	0.960651i	$-0.410409\pi$
$758$	9.86007	+	8.27358i	0.358134	+	0.300510i
$759$	−3.42714	−	2.87571i	−0.124397	−	0.104382i
$760$	−0.817832	−	4.63815i	−0.0296659	−	0.168244i
$761$	−31.3162	−	11.3982i	−1.13521	−	0.413183i	−0.295029	−	0.955488i	$-0.595329\pi$
$761$	−31.3162	−	11.3982i	−1.13521	−	0.413183i	−0.840182	+	0.542305i	$0.817552\pi$
$762$	13.4519	+	4.89610i	0.487312	+	0.177367i
$763$	−20.0750	+	34.7709i	−0.726764	+	1.25879i
$764$	2.76886	−	15.7030i	0.100174	−	0.568114i
$765$	1.35417	−	1.13628i	0.0489600	−	0.0410823i
$766$	4.65911	+	8.06982i	0.168341	+	0.291574i
$767$	1.43920	−	2.49277i	0.0519665	−	0.0900085i
$768$	0.404281	+	2.29279i	0.0145882	+	0.0827341i
$769$	−2.06110	−	3.56994i	−0.0743253	−	0.128735i	0.826467	−	0.562985i	$-0.190347\pi$
$769$	−2.06110	−	3.56994i	−0.0743253	−	0.128735i	−0.900793	+	0.434249i	$0.857014\pi$
$770$	−4.64603	+	1.69102i	−0.167431	+	0.0609400i
$771$	−40.2669			−1.45018
$772$	−10.0968	+	3.67495i	−0.363393	+	0.132264i
$773$	2.27642	−	12.9102i	0.0818771	−	0.464348i	−0.916110	−	0.400927i	$-0.868688\pi$
$773$	2.27642	−	12.9102i	0.0818771	−	0.464348i	0.997987	−	0.0634206i	$-0.0202009\pi$
$774$	−8.39147	−	7.04128i	−0.301625	−	0.253093i
$775$	−4.15891	+	3.48974i	−0.149393	+	0.125355i
$776$	8.90998			0.319850
$777$	2.89365	−	36.8450i	0.103809	−	1.32181i
$778$	27.6631			0.991770
$779$	24.7980	−	20.8080i	0.888480	−	0.745523i
$780$	−1.60906	−	1.35016i	−0.0576137	−	0.0483436i
$781$	−1.32346	+	7.50570i	−0.0473570	+	0.268575i
$782$	−0.696135	+	0.253372i	−0.0248937	+	0.00906058i
$783$	4.85700			0.173575
$784$	0.177788	−	0.0647095i	0.00634956	−	0.00231105i
$785$	10.1320	+	17.5492i	0.361627	+	0.626357i
$786$	−3.91729	−	22.2161i	−0.139725	−	0.792421i
$787$	−4.70376	+	8.14716i	−0.167671	+	0.290415i	−0.937601	−	0.347714i	$-0.886958\pi$
$787$	−4.70376	+	8.14716i	−0.167671	+	0.290415i	0.769930	+	0.638129i	$0.220291\pi$
$788$	−1.55663	−	2.69616i	−0.0554527	−	0.0960468i
$789$	−51.9855	+	43.6210i	−1.85073	+	1.55295i
$790$	−1.03048	+	5.84414i	−0.0366628	+	0.207925i
$791$	−11.6795	+	20.2295i	−0.415274	+	0.719276i
$792$	4.30885	+	1.56829i	0.153108	+	0.0557268i
$793$	11.7066	+	4.26086i	0.415714	+	0.151308i
$794$	−5.14261	−	29.1652i	−0.182504	−	1.03503i
$795$	11.9774	+	10.0502i	0.424794	+	0.356444i
$796$	−7.45383	−	6.25451i	−0.264194	−	0.221685i
$797$	−7.61206	−	43.1701i	−0.269633	−	1.52916i	−0.755510	−	0.655137i	$-0.772611\pi$
$797$	−7.61206	−	43.1701i	−0.269633	−	1.52916i	0.485877	−	0.874027i	$-0.338500\pi$
$798$	−26.8901	−	9.78719i	−0.951899	−	0.346463i
$799$	3.47107	+	1.26336i	0.122797	+	0.0446946i
$800$	−0.500000	+	0.866025i	−0.0176777	+	0.0306186i
$801$	−1.08078	+	6.12941i	−0.0381875	+	0.216572i
$802$	11.1282	−	9.33763i	0.392949	−	0.329723i
$803$	−3.49945	−	6.06122i	−0.123493	−	0.213896i
$804$	−7.21237	+	12.4922i	−0.254361	+	0.440566i
$805$	−0.459660	−	2.60686i	−0.0162009	−	0.0918797i
$806$	−2.44907	−	4.24192i	−0.0862649	−	0.149415i
$807$	−60.3548	+	21.9673i	−2.12459	+	0.773287i
$808$	−19.5499			−0.687762
$809$	−5.87653	+	2.13888i	−0.206608	+	0.0751991i	−0.443251	−	0.896397i	$-0.646175\pi$
$809$	−5.87653	+	2.13888i	−0.206608	+	0.0751991i	0.236643	+	0.971597i	$0.423953\pi$
$810$	−1.80646	+	10.2449i	−0.0634724	+	0.359970i
$811$	41.3040	+	34.6582i	1.45038	+	1.21701i	0.932302	+	0.361682i	$0.117797\pi$
$811$	41.3040	+	34.6582i	1.45038	+	1.21701i	0.518079	+	0.855333i	$0.326647\pi$
$812$	7.19515	−	6.03745i	0.252500	−	0.211873i
$813$	−41.4576			−1.45398
$814$	0.902258	−	11.4885i	0.0316241	−	0.402671i
$815$	−6.70378			−0.234823
$816$	1.30259	−	1.09300i	0.0455998	−	0.0382628i
$817$	16.3288	+	13.7015i	0.571272	+	0.479354i
$818$	4.52578	−	25.6669i	0.158240	−	0.897424i
$819$	−5.35511	+	1.94910i	−0.187123	+	0.0681071i
$820$	−6.87336			−0.240028
$821$	−25.1292	+	9.14629i	−0.877016	+	0.319208i	−0.741005	−	0.671500i	$-0.765651\pi$
$821$	−25.1292	+	9.14629i	−0.877016	+	0.319208i	−0.136011	+	0.990707i	$0.543428\pi$
$822$	22.6536	+	39.2373i	0.790137	+	1.36856i
$823$	−1.74556	−	9.89954i	−0.0608463	−	0.345076i	−0.999999	−	0.00157584i	$-0.999498\pi$
$823$	−1.74556	−	9.89954i	−0.0608463	−	0.345076i	0.939152	−	0.343501i	$-0.111613\pi$
$824$	2.06286	−	3.57298i	0.0718632	−	0.124471i
$825$	2.20537	+	3.81981i	0.0767810	+	0.132989i
$826$	−6.37820	+	5.35195i	−0.221926	+	0.186218i
$827$	5.73951	−	32.5504i	0.199582	−	1.13189i	−0.706158	−	0.708055i	$-0.749573\pi$
$827$	5.73951	−	32.5504i	0.199582	−	1.13189i	0.905740	−	0.423834i	$-0.139316\pi$
$828$	−1.22748	+	2.12606i	−0.0426579	+	0.0738857i
$829$	33.4523	+	12.1756i	1.16185	+	0.422877i	0.849756	−	0.527176i	$-0.176749\pi$
$829$	33.4523	+	12.1756i	1.16185	+	0.422877i	0.312089	+	0.950053i	$0.398971\pi$
$830$	−2.72889	−	0.993236i	−0.0947213	−	0.0344757i
$831$	−2.47802	−	14.0536i	−0.0859616	−	0.487512i
$832$	−0.691130	−	0.579927i	−0.0239606	−	0.0201053i
$833$	−0.105855	−	0.0888228i	−0.00366765	−	0.00307753i
$834$	8.02138	+	45.4915i	0.277758	+	1.57524i
$835$	−8.89926	−	3.23907i	−0.307972	−	0.112093i
$836$	−8.38449	−	3.05171i	−0.289984	−	0.105545i
$837$	−3.66334	+	6.34509i	−0.126623	+	0.219318i
$838$	−2.93161	+	16.6260i	−0.101271	+	0.574335i
$839$	0.759465	−	0.637267i	0.0262196	−	0.0220009i	−0.629584	−	0.776933i	$-0.716775\pi$
$839$	0.759465	−	0.637267i	0.0262196	−	0.0220009i	0.655803	+	0.754932i	$0.272330\pi$
$840$	3.03796	+	5.26191i	0.104820	+	0.181553i
$841$	8.02346	−	13.8970i	0.276671	−	0.479208i
$842$	−2.47738	−	14.0499i	−0.0853761	−	0.484192i
$843$	−6.62862	−	11.4811i	−0.228302	−	0.395430i
$844$	−9.86671	+	3.59119i	−0.339626	+	0.123614i
$845$	−12.1860			−0.419212
$846$	11.5027	−	4.18664i	0.395471	−	0.143940i
$847$	3.35843	−	19.0466i	0.115397	−	0.654448i
$848$	5.14456	+	4.31680i	0.176665	+	0.148239i
$849$	41.6279	−	34.9299i	1.42866	−	1.19879i
$850$	0.730366			0.0250514
$851$	5.97349	+	1.54380i	0.204769	+	0.0529207i
$852$	9.36604			0.320875
$853$	−9.22998	+	7.74487i	−0.316029	+	0.265179i	−0.786978	−	0.616981i	$-0.788356\pi$
$853$	−9.22998	+	7.74487i	−0.316029	+	0.265179i	0.470950	+	0.882160i	$0.343911\pi$
$854$	−27.6054	−	23.1636i	−0.944636	−	0.792644i
$855$	−1.97944	+	11.2259i	−0.0676953	+	0.383919i
$856$	15.6162	−	5.68385i	0.533752	−	0.194270i
$857$	34.0181			1.16204			0.581019	−	0.813890i	$-0.302654\pi$
$857$	34.0181			1.16204			0.581019	+	0.813890i	$0.302654\pi$
$858$	−3.73940	+	1.36103i	−0.127661	+	0.0464648i
$859$	8.47021	+	14.6708i	0.289000	+	0.500563i	0.973571	−	0.228383i	$-0.0733439\pi$
$859$	8.47021	+	14.6708i	0.289000	+	0.500563i	−0.684571	+	0.728946i	$0.740011\pi$
$860$	−0.785916	−	4.45715i	−0.0267995	−	0.151988i
$861$	−20.8810	+	36.1670i	−0.711623	+	1.23257i
$862$	−10.8543	−	18.8003i	−0.369700	−	0.640339i
$863$	−7.43469	+	6.23844i	−0.253080	+	0.212359i	−0.760497	−	0.649341i	$-0.775045\pi$
$863$	−7.43469	+	6.23844i	−0.253080	+	0.212359i	0.507417	+	0.861700i	$0.330600\pi$
$864$	−0.234343	+	1.32902i	−0.00797250	+	0.0452143i
$865$	2.01375	−	3.48792i	0.0684695	−	0.118593i
$866$	13.5002	+	4.91366i	0.458754	+	0.166973i
$867$	36.0249	+	13.1120i	1.22347	+	0.445306i
$868$	2.46034	+	13.9533i	0.0835094	+	0.473605i
$869$	8.61232	+	7.22659i	0.292153	+	0.245145i
$870$	−6.41880	−	5.38602i	−0.217618	−	0.182603i
$871$	−0.970667	−	5.50493i	−0.0328898	−	0.186527i
$872$	14.4568	+	5.26184i	0.489569	+	0.178189i
$873$	−20.2647	−	7.37575i	−0.685857	−	0.249631i
$874$	2.38853	−	4.13706i	0.0807932	−	0.139938i
$875$	−0.453179	+	2.57010i	−0.0153202	+	0.0868854i
$876$	−6.58870	+	5.52858i	−0.222612	+	0.186793i
$877$	6.46597	+	11.1994i	0.218340	+	0.378176i	0.954301	−	0.298848i	$-0.0966024\pi$
$877$	6.46597	+	11.1994i	0.218340	+	0.378176i	−0.735960	+	0.677025i	$0.763269\pi$
$878$	−11.2517	+	19.4886i	−0.379728	+	0.657708i
$879$	−11.8227	−	67.0500i	−0.398771	−	2.26154i
$880$	0.947256	+	1.64070i	0.0319320	+	0.0553078i
$881$	30.3464	−	11.0452i	1.02240	−	0.372122i	0.224215	−	0.974540i	$-0.428018\pi$
$881$	30.3464	−	11.0452i	1.02240	−	0.372122i	0.798181	+	0.602418i	$0.205796\pi$
$882$	−0.457925			−0.0154191
$883$	13.6456	−	4.96660i	0.459211	−	0.167139i	−0.102048	−	0.994780i	$-0.532539\pi$
$883$	13.6456	−	4.96660i	0.459211	−	0.167139i	0.561259	+	0.827640i	$0.310317\pi$
$884$	−0.114424	+	0.648930i	−0.00384849	+	0.0218259i
$885$	5.69001	+	4.77448i	0.191267	+	0.160492i
$886$	−3.35476	+	2.81498i	−0.112705	+	0.0945711i
$887$	28.5606			0.958971			0.479486	−	0.877550i	$-0.340823\pi$
$887$	28.5606			0.958971			0.479486	+	0.877550i	$0.340823\pi$
$888$	−14.0962	+	1.35966i	−0.473039	+	0.0456272i
$889$	16.0466			0.538187
$890$	−1.96990	+	1.65294i	−0.0660311	+	0.0554067i
$891$	15.0976	+	12.6684i	0.505789	+	0.424407i
$892$	0.751705	−	4.26313i	0.0251689	−	0.142740i
$893$	−22.3829	+	8.14670i	−0.749014	+	0.272619i
$894$	37.4807			1.25354
$895$	−10.0135	+	3.64461i	−0.334714	+	0.121826i
$896$	1.30488	+	2.26011i	0.0435928	+	0.0755050i
$897$	−0.369961	−	2.09816i	−0.0123527	−	0.0700554i
$898$	−12.3873	+	21.4554i	−0.413368	+	0.715975i
$899$	−9.76973	−	16.9217i	−0.325839	−	0.564369i
$900$	1.85409	−	1.55577i	0.0618031	−	0.0518590i
$901$	0.851736	−	4.83044i	0.0283755	−	0.160925i
$902$	−6.51083	+	11.2771i	−0.216787	+	0.375486i
$903$	−25.8407	−	9.40525i	−0.859925	−	0.312987i
$904$	8.41085	+	3.06130i	0.279741	+	0.101817i
$905$	1.44050	+	8.16950i	0.0478840	+	0.271563i
$906$	27.7520	+	23.2867i	0.921998	+	0.773648i
$907$	35.5954	+	29.8681i	1.18193	+	0.991753i	0.999964	+	0.00844728i	$0.00268888\pi$
$907$	35.5954	+	29.8681i	1.18193	+	0.991753i	0.181961	+	0.983306i	$0.441756\pi$
$908$	−0.322907	−	1.83129i	−0.0107160	−	0.0607736i
$909$	44.4639	+	16.1835i	1.47477	+	0.536774i
$910$	−2.21254	−	0.805298i	−0.0733449	−	0.0266954i
$911$	26.7334	−	46.3036i	0.885717	−	1.53411i	0.0408279	−	0.999166i	$-0.487000\pi$
$911$	26.7334	−	46.3036i	0.885717	−	1.53411i	0.844889	−	0.534941i	$-0.179666\pi$
$912$	−1.90405	+	10.7984i	−0.0630493	+	0.357570i
$913$	−4.21456	+	3.53643i	−0.139482	+	0.117039i
$914$	−5.17268	−	8.95935i	−0.171097	−	0.296349i
$915$	−16.0740	+	27.8410i	−0.531390	+	0.920394i
$916$	−4.63299	−	26.2750i	−0.153078	−	0.868151i
$917$	−12.6436	−	21.8994i	−0.417529	−	0.723181i
$918$	0.926206	−	0.337111i	0.0305693	−	0.0111263i
$919$	38.1147			1.25729			0.628644	−	0.777694i	$-0.283610\pi$
$919$	38.1147			1.25729			0.628644	+	0.777694i	$0.283610\pi$
$920$	−0.953132	+	0.346912i	−0.0314238	+	0.0114373i
$921$	6.16287	−	34.9513i	0.203073	−	1.15169i
$922$	6.95993	+	5.84008i	0.229213	+	0.192333i
$923$	−2.78037	+	2.33300i	−0.0915169	+	0.0767918i
$924$	11.5109			0.378681
$925$	−5.01353	−	3.44449i	−0.164844	−	0.113254i
$926$	40.7528			1.33922
$927$	−7.64948	+	6.41867i	−0.251242	+	0.210817i
$928$	−2.75702	−	2.31342i	−0.0905038	−	0.0759417i
$929$	6.10572	−	34.6273i	0.200322	−	1.13608i	−0.704311	−	0.709892i	$-0.748744\pi$
$929$	6.10572	−	34.6273i	0.200322	−	1.13608i	0.904633	−	0.426192i	$-0.140145\pi$
$930$	11.8775	−	4.32306i	0.389479	−	0.141759i
$931$	0.891066			0.0292035
$932$	−25.6761	+	9.34534i	−0.841049	+	0.306117i
$933$	−3.87206	−	6.70661i	−0.126766	−	0.219564i
$934$	2.40382	+	13.6328i	0.0786555	+	0.446077i
$935$	0.691844	−	1.19831i	0.0226257	−	0.0391889i
$936$	1.09183	+	1.89110i	0.0356874	+	0.0618125i
$937$	28.2554	−	23.7091i	0.923065	−	0.774544i	−0.0514941	−	0.998673i	$-0.516398\pi$
$937$	28.2554	−	23.7091i	0.923065	−	0.774544i	0.974559	+	0.224130i	$0.0719539\pi$
$938$	−2.80779	+	15.9237i	−0.0916774	+	0.519929i
$939$	1.70940	−	2.96077i	0.0557842	−	0.0966211i
$940$	4.75250	+	1.72977i	0.155009	+	0.0564188i
$941$	−33.3410	−	12.1351i	−1.08688	−	0.395594i	−0.264419	−	0.964408i	$-0.585180\pi$
$941$	−33.3410	−	12.1351i	−1.08688	−	0.395594i	−0.822466	+	0.568814i	$0.807402\pi$
$942$	−8.19238	−	46.4613i	−0.266922	−	1.51379i
$943$	−5.34060	−	4.48129i	−0.173914	−	0.145931i
$944$	2.44399	+	2.05075i	0.0795451	+	0.0667462i
$945$	0.611576	+	3.46842i	0.0198946	+	0.112828i
$946$	−8.05729	−	2.93261i	−0.261965	−	0.0953475i
$947$	34.8505	+	12.6845i	1.13249	+	0.412192i	0.839195	−	0.543831i	$-0.183027\pi$
$947$	34.8505	+	12.6845i	1.13249	+	0.412192i	0.293293	+	0.956023i	$0.405249\pi$
$948$	6.90800	−	11.9650i	0.224361	−	0.388605i
$949$	0.578773	−	3.28238i	0.0187878	−	0.106551i
$950$	−3.60784	+	3.02734i	−0.117054	+	0.0982199i
$951$	19.0730	+	33.0355i	0.618486	+	1.07125i
$952$	0.953037	−	1.65071i	0.0308881	−	0.0534998i
$953$	−6.79820	−	38.5545i	−0.220215	−	1.24890i	−0.871623	−	0.490176i	$-0.836932\pi$
$953$	−6.79820	−	38.5545i	−0.220215	−	1.24890i	0.651408	−	0.758728i	$-0.274179\pi$
$954$	−8.12722	−	14.0768i	−0.263129	−	0.455752i
$955$	−14.9836	+	5.45359i	−0.484858	+	0.176474i
$956$	21.8691			0.707298
$957$	−14.9171	+	5.42937i	−0.482200	+	0.175506i
$958$	1.02066	−	5.78846i	0.0329761	−	0.187017i
$959$	38.9052	+	32.6453i	1.25631	+	1.05417i
$960$	1.78348	−	1.49651i	0.0575615	−	0.0482998i
$961$	−1.52514			−0.0491982
$962$	3.84588	−	3.91488i	0.123996	−	0.126221i
$963$	−40.2225			−1.29615
$964$	1.48442	−	1.24558i	0.0478101	−	0.0401174i
$965$	8.23103	+	6.90665i	0.264966	+	0.222333i
$966$	−1.07016	+	6.06920i	−0.0344319	+	0.195273i
$967$	55.5841	−	20.2310i	1.78747	−	0.650584i	0.788078	−	0.615575i	$-0.211076\pi$
$967$	55.5841	−	20.2310i	1.78747	−	0.650584i	0.999387	−	0.0350090i	$-0.0111460\pi$
$968$	−7.41083			−0.238193
$969$	7.52547	−	2.73905i	0.241753	−	0.0879909i
$970$	−4.45499	−	7.71627i	−0.143041	−	0.247755i
$971$	6.26475	+	35.5292i	0.201045	+	1.14018i	0.903543	+	0.428498i	$0.140957\pi$
$971$	6.26475	+	35.5292i	0.201045	+	1.14018i	−0.702497	+	0.711687i	$0.747932\pi$
$972$	10.0856	−	17.4688i	0.323496	−	0.560312i
$973$	25.8901	+	44.8430i	0.829999	+	1.43760i
$974$	−21.3263	+	17.8949i	−0.683338	+	0.573388i
$975$	−0.364745	+	2.06857i	−0.0116812	+	0.0662473i
$976$	−6.90415	+	11.9583i	−0.220996	+	0.382777i
$977$	−21.7728	−	7.92467i	−0.696575	−	0.253533i	−0.0306272	−	0.999531i	$-0.509750\pi$
$977$	−21.7728	−	7.92467i	−0.696575	−	0.253533i	−0.665948	+	0.745998i	$0.731973\pi$
$978$	14.6663	+	5.33808i	0.468975	+	0.170693i
$979$	0.845974	+	4.79776i	0.0270374	+	0.153337i
$980$	−0.144934	−	0.121614i	−0.00462975	−	0.00388482i
$981$	−28.5245	−	23.9349i	−0.910717	−	0.764183i
$982$	−1.91380	−	10.8537i	−0.0610719	−	0.346356i
$983$	−43.6368	−	15.8825i	−1.39180	−	0.506573i	−0.466065	−	0.884750i	$-0.654329\pi$
$983$	−43.6368	−	15.8825i	−1.39180	−	0.506573i	−0.925733	+	0.378177i	$0.876551\pi$
$984$	15.0372	+	5.47311i	0.479370	+	0.174476i
$985$	−1.55663	+	2.69616i	−0.0495984	+	0.0859069i
$986$	−0.456454	+	2.58868i	−0.0145365	+	0.0824404i
$987$	23.5398	−	19.7523i	0.749281	−	0.628721i
$988$	−2.12456	−	3.67985i	−0.0675913	−	0.117072i
$989$	2.29532	−	3.97561i	0.0729869	−	0.126417i
$990$	−0.796242	−	4.51572i	−0.0253062	−	0.143519i
$991$	23.9039	+	41.4028i	0.759333	+	1.31520i	0.943191	+	0.332250i	$0.107808\pi$
$991$	23.9039	+	41.4028i	0.759333	+	1.31520i	−0.183859	+	0.982953i	$0.558859\pi$
$992$	5.10166	−	1.85685i	0.161978	−	0.0589551i
$993$	−64.4178			−2.04424
$994$	9.86569	−	3.59082i	0.312921	−	0.113894i
$995$	−1.68965	+	9.58246i	−0.0535654	+	0.303784i
$996$	5.17927	+	4.34592i	0.164111	+	0.137706i
$997$	−31.0687	+	26.0697i	−0.983955	+	0.825637i	−0.984681	−	0.174363i	$-0.944213\pi$
$997$	−31.0687	+	26.0697i	−0.983955	+	0.825637i	0.000726074		1.00000i	$0.499769\pi$
$998$	2.33947			0.0740547
$999$	−7.94771	−	2.05402i	−0.251454	−	0.0649863i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.a.271.3	yes	18
37.34	even	9	inner	370.2.o.a.71.3	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.a.71.3	✓	18	37.34	even	9	inner
370.2.o.a.271.3	yes	18	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)

\(f(q)\)	\(=\)	\(q+(0.766044 - 0.642788i) q^{2} +(1.78348 + 1.49651i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.939693 + 0.342020i) q^{5} +2.32816 q^{6} +(2.45236 - 0.892588i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.420289 + 2.38358i) q^{9} +O(q^{10})\)	\(q+(0.766044 - 0.642788i) q^{2} +(1.78348 + 1.49651i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.939693 + 0.342020i) q^{5} +2.32816 q^{6} +(2.45236 - 0.892588i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.420289 + 2.38358i) q^{9} +(-0.500000 + 0.866025i) q^{10} +(0.947256 + 1.64070i) q^{11} +(1.78348 - 1.49651i) q^{12} +(-0.156666 + 0.888499i) q^{13} +(1.30488 - 2.26011i) q^{14} +(-2.18776 - 0.796279i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(0.126827 + 0.719270i) q^{17} +(1.85409 + 1.55577i) q^{18} +(-3.60784 - 3.02734i) q^{19} +(0.173648 + 0.984808i) q^{20} +(5.70951 + 2.07809i) q^{21} +(1.78026 + 0.647961i) q^{22} +(-0.507151 + 0.878411i) q^{23} +(0.404281 - 2.29279i) q^{24} +(0.766044 - 0.642788i) q^{25} +(0.451103 + 0.781333i) q^{26} +(0.674763 - 1.16872i) q^{27} +(-0.453179 - 2.57010i) q^{28} +(1.79952 + 3.11686i) q^{29} +(-2.18776 + 0.796279i) q^{30} -5.42908 q^{31} +(-0.939693 + 0.342020i) q^{32} +(-0.765916 + 4.34373i) q^{33} +(0.559493 + 0.469470i) q^{34} +(-1.99919 + 1.67752i) q^{35} +2.42035 q^{36} +(-1.62651 - 5.86127i) q^{37} -4.70970 q^{38} +(-1.60906 + 1.35016i) q^{39} +(0.766044 + 0.642788i) q^{40} +(-1.19355 + 6.76893i) q^{41} +(5.70951 - 2.07809i) q^{42} -4.52591 q^{43} +(1.78026 - 0.647961i) q^{44} +(-1.21017 - 2.09608i) q^{45} +(0.176132 + 0.998892i) q^{46} +(2.52875 - 4.37993i) q^{47} +(-1.16408 - 2.01625i) q^{48} +(-0.144934 + 0.121614i) q^{49} +(0.173648 - 0.984808i) q^{50} +(-0.850206 + 1.47260i) q^{51} +(0.847796 + 0.308573i) q^{52} +(-6.31074 - 2.29692i) q^{53} +(-0.234343 - 1.32902i) q^{54} +(-1.45128 - 1.21777i) q^{55} +(-1.99919 - 1.67752i) q^{56} +(-1.90405 - 10.7984i) q^{57} +(3.38199 + 1.23094i) q^{58} +(-2.99800 - 1.09118i) q^{59} +(-1.16408 + 2.01625i) q^{60} +(2.39779 - 13.5985i) q^{61} +(-4.15891 + 3.48974i) q^{62} +(3.15825 + 5.47025i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.156666 - 0.888499i) q^{65} +(2.20537 + 3.81981i) q^{66} +(-5.82211 + 2.11907i) q^{67} +0.730366 q^{68} +(-2.21905 + 0.807667i) q^{69} +(-0.453179 + 2.57010i) q^{70} +(3.08174 + 2.58589i) q^{71} +(1.85409 - 1.55577i) q^{72} -3.69430 q^{73} +(-5.01353 - 3.44449i) q^{74} +2.32816 q^{75} +(-3.60784 + 3.02734i) q^{76} +(3.78748 + 3.17807i) q^{77} +(-0.364745 + 2.06857i) q^{78} +(5.57641 - 2.02965i) q^{79} +1.00000 q^{80} +(9.77558 - 3.55802i) q^{81} +(3.43668 + 5.95250i) q^{82} +(0.504279 + 2.85991i) q^{83} +(3.03796 - 5.26191i) q^{84} +(-0.365183 - 0.632516i) q^{85} +(-3.46705 + 2.90920i) q^{86} +(-1.45502 + 8.25186i) q^{87} +(0.947256 - 1.64070i) q^{88} +(2.41644 + 0.879511i) q^{89} +(-2.27438 - 0.827808i) q^{90} +(0.408860 + 2.31876i) q^{91} +(0.777000 + 0.651980i) q^{92} +(-9.68263 - 8.12469i) q^{93} +(-0.878227 - 4.98067i) q^{94} +(4.42567 + 1.61081i) q^{95} +(-2.18776 - 0.796279i) q^{96} +(-4.45499 + 7.71627i) q^{97} +(-0.0328539 + 0.186324i) q^{98} +(-3.51260 + 2.94742i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9}+O(q^{10}) \) 18 * q - 6 * q^6 - 3 * q^7 - 9 * q^8 - 12 * q^9	\( 18 q - 6 q^{6} - 3 q^{7} - 9 q^{8} - 12 q^{9} - 9 q^{10} + 3 q^{11} + 9 q^{13} - 6 q^{17} + 6 q^{18} + 9 q^{19} - 6 q^{21} + 21 q^{23} + 6 q^{26} + 12 q^{27} - 3 q^{28} + 6 q^{29} - 30 q^{31} - 45 q^{33} - 15 q^{34} + 6 q^{35} + 24 q^{36} + 6 q^{37} - 12 q^{38} + 24 q^{39} + 15 q^{41} - 6 q^{42} - 12 q^{43} - 12 q^{45} + 24 q^{47} + 3 q^{48} + 33 q^{49} - 42 q^{51} - 12 q^{53} + 27 q^{54} + 6 q^{56} + 51 q^{57} - 15 q^{58} - 15 q^{59} + 3 q^{60} + 72 q^{61} - 57 q^{62} - 30 q^{63} - 9 q^{64} + 9 q^{65} - 3 q^{66} + 18 q^{67} + 24 q^{69} - 3 q^{70} + 6 q^{72} - 66 q^{73} - 24 q^{74} - 6 q^{75} + 9 q^{76} - 66 q^{77} + 6 q^{78} - 12 q^{79} + 18 q^{80} + 66 q^{81} + 45 q^{82} + 9 q^{83} + 42 q^{84} + 12 q^{86} + 48 q^{87} + 3 q^{88} + 6 q^{90} - 78 q^{91} + 18 q^{92} + 24 q^{94} - 3 q^{97} - 48 q^{98} - 96 q^{99}+O(q^{100}) \) 18 * q - 6 * q^6 - 3 * q^7 - 9 * q^8 - 12 * q^9 - 9 * q^10 + 3 * q^11 + 9 * q^13 - 6 * q^17 + 6 * q^18 + 9 * q^19 - 6 * q^21 + 21 * q^23 + 6 * q^26 + 12 * q^27 - 3 * q^28 + 6 * q^29 - 30 * q^31 - 45 * q^33 - 15 * q^34 + 6 * q^35 + 24 * q^36 + 6 * q^37 - 12 * q^38 + 24 * q^39 + 15 * q^41 - 6 * q^42 - 12 * q^43 - 12 * q^45 + 24 * q^47 + 3 * q^48 + 33 * q^49 - 42 * q^51 - 12 * q^53 + 27 * q^54 + 6 * q^56 + 51 * q^57 - 15 * q^58 - 15 * q^59 + 3 * q^60 + 72 * q^61 - 57 * q^62 - 30 * q^63 - 9 * q^64 + 9 * q^65 - 3 * q^66 + 18 * q^67 + 24 * q^69 - 3 * q^70 + 6 * q^72 - 66 * q^73 - 24 * q^74 - 6 * q^75 + 9 * q^76 - 66 * q^77 + 6 * q^78 - 12 * q^79 + 18 * q^80 + 66 * q^81 + 45 * q^82 + 9 * q^83 + 42 * q^84 + 12 * q^86 + 48 * q^87 + 3 * q^88 + 6 * q^90 - 78 * q^91 + 18 * q^92 + 24 * q^94 - 3 * q^97 - 48 * q^98 - 96 * q^99

Introduction

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