LMFDB - Embedded newform 130.2.p.b.37.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(7,130)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(130, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 11]))

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

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

chi := DirichletCharacter("130.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.p (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.03805522628$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{13} - 48 x^{12} + 16 x^{11} + 8 x^{10} + 80 x^{9} + 2208 x^{8} + 760 x^{7} + 192 x^{6} + \cdots + 4096 $ x^16 - 4x^13 - 48x^12 + 16x^11 + 8x^10 + 80x^9 + 2208x^8 + 760x^7 + 192x^6 + 1696x^5 - 2812x^4 - 2080x^3 + 128x^2 - 1024*x + 4096
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			37.2
Root			$-0.250788 - 0.935952i$ of defining polynomial
Character	$\chi$	$=$	130.37
Dual form			130.2.p.b.123.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} +(-0.935952 - 0.250788i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.23384 + 0.0997335i) q^{5} +(0.935952 - 0.250788i) q^{6} +(-1.88470 + 3.26439i) q^{7} +1.00000i q^{8} +(-1.78496 - 1.03055i) q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.935952 - 0.250788i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.23384 + 0.0997335i) q^{5} +(0.935952 - 0.250788i) q^{6} +(-1.88470 + 3.26439i) q^{7} +1.00000i q^{8} +(-1.78496 - 1.03055i) q^{9} +(1.88470 - 1.20329i) q^{10} +(-1.91630 - 0.513470i) q^{11} +(-0.685164 + 0.685164i) q^{12} +(-0.930617 + 3.48338i) q^{13} -3.76940i q^{14} +(2.11578 + 0.466874i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.33261 - 4.97337i) q^{17} +2.06110 q^{18} +(0.103361 + 0.385747i) q^{19} +(-1.03055 + 1.98443i) q^{20} +(2.58266 - 2.58266i) q^{21} +(1.91630 - 0.513470i) q^{22} +(-0.652430 + 2.43490i) q^{23} +(0.250788 - 0.935952i) q^{24} +(4.98011 - 0.445578i) q^{25} +(-0.935753 - 3.48201i) q^{26} +(3.46769 + 3.46769i) q^{27} +(1.88470 + 3.26439i) q^{28} +(-1.00654 + 0.581127i) q^{29} +(-2.06576 + 0.653566i) q^{30} +(7.10352 + 7.10352i) q^{31} +(0.866025 + 0.500000i) q^{32} +(1.66479 + 0.961167i) q^{33} +(3.64076 + 3.64076i) q^{34} +(3.88455 - 7.48011i) q^{35} +(-1.78496 + 1.03055i) q^{36} +(-5.39776 - 9.34919i) q^{37} +(-0.282386 - 0.282386i) q^{38} +(1.74460 - 3.02689i) q^{39} +(-0.0997335 - 2.23384i) q^{40} +(-0.0903706 + 0.337268i) q^{41} +(-0.945318 + 3.52797i) q^{42} +(-4.86670 + 1.30403i) q^{43} +(-1.40283 + 1.40283i) q^{44} +(4.09011 + 2.12407i) q^{45} +(-0.652430 - 2.43490i) q^{46} +2.16571 q^{47} +(0.250788 + 0.935952i) q^{48} +(-3.60417 - 6.24261i) q^{49} +(-4.09011 + 2.87593i) q^{50} +4.98903i q^{51} +(2.55139 + 2.54763i) q^{52} +(-4.52928 + 4.52928i) q^{53} +(-4.73695 - 1.26926i) q^{54} +(4.33192 + 0.955893i) q^{55} +(-3.26439 - 1.88470i) q^{56} -0.386962i q^{57} +(0.581127 - 1.00654i) q^{58} +(-12.2618 + 3.28554i) q^{59} +(1.46222 - 1.59888i) q^{60} +(0.985039 - 1.70614i) q^{61} +(-9.70358 - 2.60007i) q^{62} +(6.72824 - 3.88455i) q^{63} -1.00000 q^{64} +(1.73144 - 7.87414i) q^{65} -1.92233 q^{66} +(-12.0484 + 6.95614i) q^{67} +(-4.97337 - 1.33261i) q^{68} +(1.22129 - 2.11533i) q^{69} +(0.375935 + 8.42024i) q^{70} +(-0.875664 + 0.234633i) q^{71} +(1.03055 - 1.78496i) q^{72} -8.38511i q^{73} +(9.34919 + 5.39776i) q^{74} +(-4.77289 - 0.831910i) q^{75} +(0.385747 + 0.103361i) q^{76} +(5.28781 - 5.28781i) q^{77} +(0.00257603 + 3.49367i) q^{78} +3.10557i q^{79} +(1.20329 + 1.88470i) q^{80} +(0.715714 + 1.23965i) q^{81} +(-0.0903706 - 0.337268i) q^{82} +4.98388 q^{83} +(-0.945318 - 3.52797i) q^{84} +(3.47285 + 10.9768i) q^{85} +(3.56267 - 3.56267i) q^{86} +(1.08781 - 0.291479i) q^{87} +(0.513470 - 1.91630i) q^{88} +(-4.22759 + 15.7776i) q^{89} +(-4.60417 + 0.205561i) q^{90} +(-9.61719 - 9.60302i) q^{91} +(1.78247 + 1.78247i) q^{92} +(-4.86708 - 8.43002i) q^{93} +(-1.87556 + 1.08285i) q^{94} +(-0.269363 - 0.851389i) q^{95} +(-0.685164 - 0.685164i) q^{96} +(14.9854 + 8.65185i) q^{97} +(6.24261 + 3.60417i) q^{98} +(2.89136 + 2.89136i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) $ 16 * q + 8 * q^4 - 2 * q^5	$ 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) $ 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{12}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	−0.935952	−	0.250788i	−0.540372	−	0.144792i	−0.0216985	−	0.999765i	$-0.506907\pi$
$3$	−0.935952	−	0.250788i	−0.540372	−	0.144792i	−0.518674	+	0.854972i	$0.673574\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	−2.23384	+	0.0997335i	−0.999005	+	0.0446022i
$5$	−2.23384	+	0.0997335i	−0.999005	+	0.0446022i
$6$	0.935952	−	0.250788i	0.382101	−	0.102384i
$7$	−1.88470	+	3.26439i	−0.712349	+	1.23382i	0.251624	+	0.967825i	$0.419035\pi$
$7$	−1.88470	+	3.26439i	−0.712349	+	1.23382i	−0.963973	+	0.265999i	$0.914298\pi$
$8$			1.00000i			0.353553i
$9$	−1.78496	−	1.03055i	−0.594988	−	0.343517i
$10$	1.88470	−	1.20329i	0.595994	−	0.380515i
$11$	−1.91630	−	0.513470i	−0.577785	−	0.154817i	−0.0419205	−	0.999121i	$-0.513348\pi$
$11$	−1.91630	−	0.513470i	−0.577785	−	0.154817i	−0.535865	+	0.844304i	$0.680014\pi$
$12$	−0.685164	+	0.685164i	−0.197790	+	0.197790i
$13$	−0.930617	+	3.48338i	−0.258107	+	0.966116i
$13$	−0.930617	+	3.48338i	−0.258107	+	0.966116i
$14$		−	3.76940i		−	1.00741i
$15$	2.11578	+	0.466874i	0.546292	+	0.120546i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−1.33261	−	4.97337i	−0.323205	−	1.20622i	−0.916104	−	0.400941i	$-0.868683\pi$
$17$	−1.33261	−	4.97337i	−0.323205	−	1.20622i	0.592899	−	0.805277i	$-0.297983\pi$
$18$	2.06110			0.485806
$19$	0.103361	+	0.385747i	0.0237125	+	0.0884964i	0.976768	−	0.214299i	$-0.0687467\pi$
$19$	0.103361	+	0.385747i	0.0237125	+	0.0884964i	−0.953056	+	0.302796i	$0.902080\pi$
$20$	−1.03055	+	1.98443i	−0.230438	+	0.443732i
$21$	2.58266	−	2.58266i	0.563582	−	0.563582i
$22$	1.91630	−	0.513470i	0.408556	−	0.109472i
$23$	−0.652430	+	2.43490i	−0.136041	+	0.507712i	0.863950	+	0.503577i	$0.167983\pi$
$23$	−0.652430	+	2.43490i	−0.136041	+	0.507712i	−0.999991	+	0.00413534i	$0.998684\pi$
$24$	0.250788	−	0.935952i	0.0511918	−	0.191050i
$25$	4.98011	−	0.445578i	0.996021	−	0.0891155i
$26$	−0.935753	−	3.48201i	−0.183516	−	0.682878i
$27$	3.46769	+	3.46769i	0.667356	+	0.667356i
$28$	1.88470	+	3.26439i	0.356174	+	0.616912i
$29$	−1.00654	+	0.581127i	−0.186910	+	0.107913i	−0.590535	−	0.807012i	$-0.701083\pi$
$29$	−1.00654	+	0.581127i	−0.186910	+	0.107913i	0.403625	+	0.914924i	$0.367750\pi$
$30$	−2.06576	+	0.653566i	−0.377154	+	0.119324i
$31$	7.10352	+	7.10352i	1.27583	+	1.27583i	0.942980	+	0.332849i	$0.108010\pi$
$31$	7.10352	+	7.10352i	1.27583	+	1.27583i	0.332849	+	0.942980i	$0.391990\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	1.66479	+	0.961167i	0.289803	+	0.167318i
$34$	3.64076	+	3.64076i	0.624384	+	0.624384i
$35$	3.88455	−	7.48011i	0.656609	−	1.26437i
$36$	−1.78496	+	1.03055i	−0.297494	+	0.171758i
$37$	−5.39776	−	9.34919i	−0.887386	−	1.53700i	−0.842954	−	0.537985i	$-0.819186\pi$
$37$	−5.39776	−	9.34919i	−0.887386	−	1.53700i	−0.0444319	−	0.999012i	$-0.514148\pi$
$38$	−0.282386	−	0.282386i	−0.0458091	−	0.0458091i
$39$	1.74460	−	3.02689i	0.279360	−	0.484691i
$40$	−0.0997335	−	2.23384i	−0.0157692	−	0.353202i
$41$	−0.0903706	+	0.337268i	−0.0141135	+	0.0526724i	−0.972623	−	0.232387i	$-0.925347\pi$
$41$	−0.0903706	+	0.337268i	−0.0141135	+	0.0526724i	0.958510	+	0.285059i	$0.0920132\pi$
$42$	−0.945318	+	3.52797i	−0.145866	+	0.544378i
$43$	−4.86670	+	1.30403i	−0.742165	+	0.198863i	−0.610040	−	0.792370i	$-0.708847\pi$
$43$	−4.86670	+	1.30403i	−0.742165	+	0.198863i	−0.132125	+	0.991233i	$0.542180\pi$
$44$	−1.40283	+	1.40283i	−0.211484	+	0.211484i
$45$	4.09011	+	2.12407i	0.609718	+	0.316637i
$46$	−0.652430	−	2.43490i	−0.0961956	−	0.359007i
$47$	2.16571			0.315901			0.157950	−	0.987447i	$-0.449511\pi$
$47$	2.16571			0.315901			0.157950	+	0.987447i	$0.449511\pi$
$48$	0.250788	+	0.935952i	0.0361981	+	0.135093i
$49$	−3.60417	−	6.24261i	−0.514882	−	0.891801i
$50$	−4.09011	+	2.87593i	−0.578429	+	0.406719i
$51$			4.98903i			0.698604i
$52$	2.55139	+	2.54763i	0.353814	+	0.353293i
$53$	−4.52928	+	4.52928i	−0.622145	+	0.622145i	−0.946079	−	0.323935i	$-0.894994\pi$
$53$	−4.52928	+	4.52928i	−0.622145	+	0.622145i	0.323935	+	0.946079i	$0.394994\pi$
$54$	−4.73695	−	1.26926i	−0.644617	−	0.172725i
$55$	4.33192	+	0.955893i	0.584115	+	0.128893i
$56$	−3.26439	−	1.88470i	−0.436223	−	0.251853i
$57$		−	0.386962i		−	0.0512544i
$58$	0.581127	−	1.00654i	0.0763058	−	0.132165i
$59$	−12.2618	+	3.28554i	−1.59635	+	0.427740i	−0.943937	−	0.330124i	$-0.892909\pi$
$59$	−12.2618	+	3.28554i	−1.59635	+	0.427740i	−0.652412	+	0.757865i	$0.726243\pi$
$60$	1.46222	−	1.59888i	0.188771	−	0.206415i
$61$	0.985039	−	1.70614i	0.126121	−	0.218449i	−0.796049	−	0.605232i	$-0.793080\pi$
$61$	0.985039	−	1.70614i	0.126121	−	0.218449i	0.922171	+	0.386783i	$0.126414\pi$
$62$	−9.70358	−	2.60007i	−1.23236	−	0.330209i
$63$	6.72824	−	3.88455i	0.847678	−	0.489407i
$64$	−1.00000			−0.125000
$65$	1.73144	−	7.87414i	0.214759	−	0.976667i
$66$	−1.92233			−0.236623
$67$	−12.0484	+	6.95614i	−1.47194	+	0.849827i	−0.999503	−	0.0315350i	$-0.989960\pi$
$67$	−12.0484	+	6.95614i	−1.47194	+	0.849827i	−0.472441	+	0.881362i	$0.656627\pi$
$68$	−4.97337	−	1.33261i	−0.603109	−	0.161603i
$69$	1.22129	−	2.11533i	0.147026	−	0.254656i
$70$	0.375935	+	8.42024i	0.0449328	+	1.00641i
$71$	−0.875664	+	0.234633i	−0.103922	+	0.0278459i	−0.310405	−	0.950604i	$-0.600465\pi$
$71$	−0.875664	+	0.234633i	−0.103922	+	0.0278459i	0.206483	+	0.978450i	$0.433798\pi$
$72$	1.03055	−	1.78496i	0.121451	−	0.210360i
$73$		−	8.38511i		−	0.981403i	−0.871328	−	0.490701i	$-0.836741\pi$
$73$		−	8.38511i		−	0.981403i	0.871328	−	0.490701i	$-0.163259\pi$
$74$	9.34919	+	5.39776i	1.08682	+	0.627477i
$75$	−4.77289	−	0.831910i	−0.551125	−	0.0960606i
$76$	0.385747	+	0.103361i	0.0442482	+	0.0118563i
$77$	5.28781	−	5.28781i	0.602602	−	0.602602i
$78$	0.00257603	+	3.49367i	0.000291677	+	0.395580i
$79$			3.10557i			0.349403i	0.984621	+	0.174702i	$0.0558961\pi$
$79$			3.10557i			0.349403i	−0.984621	+	0.174702i	$0.944104\pi$
$80$	1.20329	+	1.88470i	0.134532	+	0.210716i
$81$	0.715714	+	1.23965i	0.0795238	+	0.137739i
$82$	−0.0903706	−	0.337268i	−0.00997976	−	0.0372450i
$83$	4.98388			0.547052			0.273526	−	0.961865i	$-0.411810\pi$
$83$	4.98388			0.547052			0.273526	+	0.961865i	$0.411810\pi$
$84$	−0.945318	−	3.52797i	−0.103143	−	0.384933i
$85$	3.47285	+	10.9768i	0.376683	+	1.19060i
$86$	3.56267	−	3.56267i	0.384173	−	0.384173i
$87$	1.08781	−	0.291479i	0.116626	−	0.0312498i
$88$	0.513470	−	1.91630i	0.0547361	−	0.204278i
$89$	−4.22759	+	15.7776i	−0.448124	+	1.67242i	0.259431	+	0.965762i	$0.416465\pi$
$89$	−4.22759	+	15.7776i	−0.448124	+	1.67242i	−0.707554	+	0.706659i	$0.750202\pi$
$90$	−4.60417	+	0.205561i	−0.485322	+	0.0216680i
$91$	−9.61719	−	9.60302i	−1.00816	−	1.00667i
$92$	1.78247	+	1.78247i	0.185836	+	0.185836i
$93$	−4.86708	−	8.43002i	−0.504692	−	0.874153i
$94$	−1.87556	+	1.08285i	−0.193449	+	0.111688i
$95$	−0.269363	−	0.851389i	−0.0276361	−	0.0873507i
$96$	−0.685164	−	0.685164i	−0.0699293	−	0.0699293i
$97$	14.9854	+	8.65185i	1.52154	+	0.878462i	0.999677	+	0.0254339i	$0.00809672\pi$
$97$	14.9854	+	8.65185i	1.52154	+	0.878462i	0.521865	+	0.853028i	$0.325237\pi$
$98$	6.24261	+	3.60417i	0.630599	+	0.364076i
$99$	2.89136	+	2.89136i	0.290593	+	0.290593i
$100$	2.10417	−	4.53569i	0.210417	−	0.453569i
$101$	−4.50466	+	2.60077i	−0.448230	+	0.258786i	−0.707083	−	0.707131i	$-0.749989\pi$
$101$	−4.50466	+	2.60077i	−0.448230	+	0.258786i	0.258852	+	0.965917i	$0.416656\pi$
$102$	−2.49452	−	4.32063i	−0.246994	−	0.427806i
$103$	−3.96952	−	3.96952i	−0.391129	−	0.391129i	0.483961	−	0.875090i	$-0.339198\pi$
$103$	−3.96952	−	3.96952i	−0.391129	−	0.391129i	−0.875090	+	0.483961i	$0.839198\pi$
$104$	−3.48338	−	0.930617i	−0.341574	−	0.0912545i
$105$	−5.51167	+	6.02682i	−0.537884	+	0.588158i
$106$	1.65783	−	6.18712i	0.161023	−	0.600946i
$107$	2.39861	−	8.95175i	0.231883	−	0.865398i	−0.747647	−	0.664097i	$-0.768816\pi$
$107$	2.39861	−	8.95175i	0.231883	−	0.865398i	0.979529	−	0.201301i	$-0.0645170\pi$
$108$	4.73695	−	1.26926i	0.455813	−	0.122135i
$109$	3.96733	−	3.96733i	0.380001	−	0.380001i	−0.491101	−	0.871102i	$-0.663406\pi$
$109$	3.96733	−	3.96733i	0.380001	−	0.380001i	0.871102	+	0.491101i	$0.163406\pi$
$110$	−4.22949	+	1.33813i	−0.403267	+	0.127586i
$111$	2.70738	+	10.1041i	0.256973	+	0.959037i
$112$	3.76940			0.356174
$113$	1.43269	+	5.34686i	0.134776	+	0.502990i	0.999999	+	0.00160293i	$0.000510230\pi$
$113$	1.43269	+	5.34686i	0.134776	+	0.502990i	−0.865223	+	0.501388i	$0.832823\pi$
$114$	0.193481	+	0.335119i	0.0181212	+	0.0313868i
$115$	1.21459	−	5.50426i	0.113261	−	0.513275i
$116$			1.16225i			0.107913i
$117$	5.25092	−	5.25867i	0.485447	−	0.486164i
$118$	8.97625	−	8.97625i	0.826331	−	0.826331i
$119$	18.7466	+	5.02313i	1.71850	+	0.460470i
$120$	−0.466874	+	2.11578i	−0.0426196	+	0.193144i
$121$	−6.11774	−	3.53208i	−0.556158	−	0.321098i
$122$			1.97008i			0.178363i
$123$	0.169165	−	0.293003i	0.0152531	−	0.0264191i
$124$	9.70358	−	2.60007i	0.871407	−	0.233493i
$125$	−11.0803	+	1.49203i	−0.991055	+	0.133452i
$126$	−3.88455	+	6.72824i	−0.346063	+	0.599399i
$127$	0.432529	+	0.115896i	0.0383808	+	0.0102841i	0.277958	−	0.960593i	$-0.410342\pi$
$127$	0.432529	+	0.115896i	0.0383808	+	0.0102841i	−0.239578	+	0.970877i	$0.577009\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	4.88204			0.429839
$130$	2.43760	+	7.68493i	0.213791	+	0.674013i
$131$	14.7831			1.29161			0.645805	−	0.763503i	$-0.276522\pi$
$131$	14.7831			1.29161			0.645805	+	0.763503i	$0.276522\pi$
$132$	1.66479	−	0.961167i	0.144901	−	0.0836588i
$133$	−1.45403	−	0.389607i	−0.126081	−	0.0337832i
$134$	6.95614	−	12.0484i	0.600919	−	1.04082i
$135$	−8.09211	−	7.40042i	−0.696458	−	0.636927i
$136$	4.97337	−	1.33261i	0.426463	−	0.114270i
$137$	−5.06901	+	8.77979i	−0.433075	+	0.750108i	−0.997136	−	0.0756251i	$-0.975905\pi$
$137$	−5.06901	+	8.77979i	−0.433075	+	0.750108i	0.564061	+	0.825733i	$0.309238\pi$
$138$			2.44257i			0.207926i
$139$	5.47729	+	3.16232i	0.464578	+	0.268224i	0.713967	−	0.700179i	$-0.246897\pi$
$139$	5.47729	+	3.16232i	0.464578	+	0.268224i	−0.249389	+	0.968403i	$0.580230\pi$
$140$	−4.53569	−	7.10417i	−0.383336	−	0.600412i
$141$	−2.02700	−	0.543132i	−0.170704	−	0.0457400i
$142$	0.641030	−	0.641030i	0.0537941	−	0.0537941i
$143$	3.57195	−	6.19735i	0.298702	−	0.518248i
$144$			2.06110i			0.171758i
$145$	2.19050	−	1.39853i	0.181911	−	0.116142i
$146$	4.19255	+	7.26172i	0.346978	+	0.600984i
$147$	1.80776	+	6.74666i	0.149102	+	0.556455i
$148$	−10.7955			−0.887386
$149$	−1.45148	−	5.41700i	−0.118910	−	0.443778i	0.880640	−	0.473787i	$-0.157113\pi$
$149$	−1.45148	−	5.41700i	−0.118910	−	0.443778i	−0.999550	+	0.0300087i	$0.990446\pi$
$150$	4.54940	−	1.66599i	0.371457	−	0.136027i
$151$	−8.56883	+	8.56883i	−0.697322	+	0.697322i	−0.963832	−	0.266510i	$-0.914129\pi$
$151$	−8.56883	+	8.56883i	−0.697322	+	0.697322i	0.266510	+	0.963832i	$0.414129\pi$
$152$	−0.385747	+	0.103361i	−0.0312882	+	0.00838365i
$153$	−2.74664	+	10.2506i	−0.222053	+	0.828712i
$154$	−1.93547	+	7.22328i	−0.155965	+	0.582068i
$155$	−16.5766	−	15.1597i	−1.33146	−	1.21765i
$156$	−1.74906	−	3.02432i	−0.140037	−	0.242139i
$157$	2.39607	+	2.39607i	0.191227	+	0.191227i	0.796226	−	0.604999i	$-0.206827\pi$
$157$	2.39607	+	2.39607i	0.191227	+	0.191227i	−0.604999	+	0.796226i	$0.706827\pi$
$158$	−1.55278	−	2.68950i	−0.123533	−	0.213965i
$159$	5.37508	−	3.10330i	0.426272	−	0.246108i
$160$	−1.98443	−	1.03055i	−0.156883	−	0.0814721i
$161$	−6.71884	−	6.71884i	−0.529519	−	0.529519i
$162$	−1.23965	−	0.715714i	−0.0973964	−	0.0562318i
$163$	−15.2707	−	8.81652i	−1.19609	−	0.690563i	−0.236409	−	0.971654i	$-0.575971\pi$
$163$	−15.2707	−	8.81652i	−1.19609	−	0.690563i	−0.959681	+	0.281091i	$0.909304\pi$
$164$	0.246897	+	0.246897i	0.0192794	+	0.0192794i
$165$	−3.81474	−	1.98106i	−0.296977	−	0.154225i
$166$	−4.31617	+	2.49194i	−0.335000	+	0.193412i
$167$	−2.57973	−	4.46822i	−0.199625	−	0.345761i	0.748782	−	0.662817i	$-0.230639\pi$
$167$	−2.57973	−	4.46822i	−0.199625	−	0.345761i	−0.948407	+	0.317056i	$0.897306\pi$
$168$	2.58266	+	2.58266i	0.199256	+	0.199256i
$169$	−11.2679	−	6.48339i	−0.866762	−	0.498722i
$170$	−8.49598	−	7.76977i	−0.651612	−	0.595914i
$171$	0.213036	−	0.795063i	0.0162913	−	0.0608000i
$172$	−1.30403	+	4.86670i	−0.0994313	+	0.371083i
$173$	−1.09651	+	0.293810i	−0.0833664	+	0.0223380i	−0.300261	−	0.953857i	$-0.597074\pi$
$173$	−1.09651	+	0.293810i	−0.0833664	+	0.0223380i	0.216895	+	0.976195i	$0.430407\pi$
$174$	−0.796336	+	0.796336i	−0.0603701	+	0.0603701i
$175$	−7.93146	+	17.0968i	−0.599562	+	1.29240i
$176$	0.513470	+	1.91630i	0.0387043	+	0.144446i
$177$	12.3004			0.924556
$178$	−4.22759	−	15.7776i	−0.316871	−	1.18258i
$179$	2.71932	+	4.71001i	0.203252	+	0.352042i	0.949574	−	0.313542i	$-0.101516\pi$
$179$	2.71932	+	4.71001i	0.203252	+	0.352042i	−0.746323	+	0.665584i	$0.768182\pi$
$180$	3.88455	−	2.48011i	0.289537	−	0.184856i
$181$			16.7849i			1.24761i	0.781580	+	0.623805i	$0.214414\pi$
$181$			16.7849i			1.24761i	−0.781580	+	0.623805i	$0.785586\pi$
$182$	13.1302	+	3.50786i	0.973279	+	0.260020i
$183$	−1.34983	+	1.34983i	−0.0997822	+	0.0997822i
$184$	−2.43490	−	0.652430i	−0.179503	−	0.0480978i
$185$	12.9902	+	20.3463i	0.955056	+	1.49589i
$186$	8.43002	+	4.86708i	0.618119	+	0.356871i
$187$			10.2147i			0.746973i
$188$	1.08285	−	1.87556i	0.0789752	−	0.136789i
$189$	−17.8554	+	4.78435i	−1.29879	+	0.348010i
$190$	0.658970	+	0.602643i	0.0478067	+	0.0437203i
$191$	−0.957583	+	1.65858i	−0.0692883	+	0.120011i	−0.898588	−	0.438793i	$-0.855406\pi$
$191$	−0.957583	+	1.65858i	−0.0692883	+	0.120011i	0.829300	+	0.558804i	$0.188739\pi$
$192$	0.935952	+	0.250788i	0.0675465	+	0.0180990i
$193$	17.0820	−	9.86232i	1.22959	−	0.709905i	0.262647	−	0.964892i	$-0.415404\pi$
$193$	17.0820	−	9.86232i	1.22959	−	0.709905i	0.966945	+	0.254987i	$0.0820710\pi$
$194$	−17.3037			−1.24233
$195$	−3.59528	+	6.93559i	−0.257464	+	0.496668i
$196$	−7.20834			−0.514882
$197$	9.48728	−	5.47748i	0.675940	−	0.390254i	−0.122383	−	0.992483i	$-0.539054\pi$
$197$	9.48728	−	5.47748i	0.675940	−	0.390254i	0.798324	+	0.602228i	$0.205720\pi$
$198$	−3.94968	−	1.05831i	−0.280691	−	0.0752110i
$199$	5.90974	−	10.2360i	0.418930	−	0.725608i	−0.576902	−	0.816813i	$-0.695739\pi$
$199$	5.90974	−	10.2360i	0.418930	−	0.725608i	0.995832	+	0.0912052i	$0.0290719\pi$
$200$	0.445578	+	4.98011i	0.0315071	+	0.352147i
$201$	13.0212	−	3.48902i	0.918446	−	0.246097i
$202$	2.60077	−	4.50466i	0.182989	−	0.316947i
$203$		−	4.38100i		−	0.307486i
$204$	4.32063	+	2.49452i	0.302505	+	0.174651i
$205$	0.168237	−	0.762416i	0.0117502	−	0.0532494i
$206$	5.42247	+	1.45295i	0.377801	+	0.101232i
$207$	3.67385	−	3.67385i	0.255350	−	0.255350i
$208$	3.48201	−	0.935753i	0.241434	−	0.0648828i
$209$		−	0.792278i		−	0.0548030i
$210$	1.75983	−	7.97522i	0.121440	−	0.550342i
$211$	−8.93348	−	15.4732i	−0.615006	−	1.06522i	−0.990383	−	0.138350i	$-0.955820\pi$
$211$	−8.93348	−	15.4732i	−0.615006	−	1.06522i	0.375377	−	0.926872i	$-0.377513\pi$
$212$	1.65783	+	6.18712i	0.113860	+	0.424933i
$213$	0.878423			0.0601885
$214$	2.39861	+	8.95175i	0.163966	+	0.611929i
$215$	10.7414	−	3.39837i	0.732557	−	0.231767i
$216$	−3.46769	+	3.46769i	−0.235946	+	0.235946i
$217$	−36.5766	+	9.80068i	−2.48298	+	0.665314i
$218$	−1.45214	+	5.41947i	−0.0983515	+	0.367053i
$219$	−2.10288	+	7.84806i	−0.142100	+	0.530323i
$220$	2.99378	−	3.27360i	0.201841	−	0.220706i
$221$	18.5643	−	0.0136882i	1.24877	−	0.000920769i
$222$	−7.39671	−	7.39671i	−0.496434	−	0.496434i
$223$	4.42725	+	7.66822i	0.296471	+	0.513502i	0.975326	−	0.220770i	$-0.0708570\pi$
$223$	4.42725	+	7.66822i	0.296471	+	0.513502i	−0.678855	+	0.734272i	$0.737524\pi$
$224$	−3.26439	+	1.88470i	−0.218111	+	0.125927i
$225$	−9.34850	−	4.33691i	−0.623233	−	0.289127i
$226$	−3.91417	−	3.91417i	−0.260367	−	0.260367i
$227$	−18.8658	−	10.8922i	−1.25217	−	0.722941i	−0.280630	−	0.959816i	$-0.590543\pi$
$227$	−18.8658	−	10.8922i	−1.25217	−	0.722941i	−0.971540	+	0.236875i	$0.923877\pi$
$228$	−0.335119	−	0.193481i	−0.0221938	−	0.0128136i
$229$	−7.92975	−	7.92975i	−0.524013	−	0.524013i	0.394768	−	0.918781i	$-0.370825\pi$
$229$	−7.92975	−	7.92975i	−0.524013	−	0.524013i	−0.918781	+	0.394768i	$0.870825\pi$
$230$	1.70027	+	5.37412i	0.112112	+	0.354359i
$231$	−6.27525	+	3.62302i	−0.412881	+	0.238377i
$232$	−0.581127	−	1.00654i	−0.0381529	−	0.0660827i
$233$	1.89587	+	1.89587i	0.124203	+	0.124203i	0.766476	−	0.642273i	$-0.222009\pi$
$233$	1.89587	+	1.89587i	0.124203	+	0.124203i	−0.642273	+	0.766476i	$0.722009\pi$
$234$	−1.91809	+	7.17960i	−0.125390	+	0.469345i
$235$	−4.83785	+	0.215993i	−0.315586	+	0.0140899i
$236$	−3.28554	+	12.2618i	−0.213870	+	0.798175i
$237$	0.778837	−	2.90666i	0.0505909	−	0.188808i
$238$	−18.7466	+	5.02313i	−1.21516	+	0.325601i
$239$	2.43675	−	2.43675i	0.157620	−	0.157620i	−0.623891	−	0.781511i	$-0.714449\pi$
$239$	2.43675	−	2.43675i	0.157620	−	0.157620i	0.781511	+	0.623891i	$0.214449\pi$
$240$	−0.653566	−	2.06576i	−0.0421875	−	0.133344i
$241$	−7.65372	−	28.5641i	−0.493019	−	1.83997i	−0.540852	−	0.841118i	$-0.681898\pi$
$241$	−7.65372	−	28.5641i	−0.493019	−	1.83997i	0.0478326	−	0.998855i	$-0.484769\pi$
$242$	7.06416			0.454101
$243$	−4.16677	−	15.5506i	−0.267298	−	0.997571i
$244$	−0.985039	−	1.70614i	−0.0630607	−	0.109224i
$245$	8.67375	+	13.5855i	0.554146	+	0.867949i
$246$			0.338330i			0.0215711i
$247$	−1.43989	+	0.00106169i	−0.0916182	+	6.75539e-5i
$248$	−7.10352	+	7.10352i	−0.451074	+	0.451074i
$249$	−4.66467	−	1.24990i	−0.295612	−	0.0792089i
$250$	8.84984	−	6.83231i	0.559713	−	0.432113i
$251$	22.7052	+	13.1089i	1.43314	+	0.827425i	0.997359	−	0.0726275i	$-0.0231384\pi$
$251$	22.7052	+	13.1089i	1.43314	+	0.827425i	0.435782	+	0.900052i	$0.356472\pi$
$252$		−	7.76910i		−	0.489407i
$253$	2.50050	−	4.33099i	0.157205	−	0.272287i
$254$	−0.432529	+	0.115896i	−0.0271393	+	0.00727196i
$255$	−0.497574	−	11.1447i	−0.0311593	−	0.697909i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	16.0997	+	4.31389i	1.00427	+	0.269093i	0.723233	−	0.690604i	$-0.242655\pi$
$257$	16.0997	+	4.31389i	1.00427	+	0.269093i	0.281037	+	0.959697i	$0.409322\pi$
$258$	−4.22797	+	2.44102i	−0.263222	+	0.151971i
$259$	40.6926			2.52851
$260$	−5.95349	−	5.43654i	−0.369219	−	0.337160i
$261$	2.39552			0.148279
$262$	−12.8026	+	7.39157i	−0.790946	+	0.456653i
$263$	14.6464	+	3.92449i	0.903136	+	0.241994i	0.680362	−	0.732876i	$-0.261822\pi$
$263$	14.6464	+	3.92449i	0.903136	+	0.241994i	0.222773	+	0.974870i	$0.428489\pi$
$264$	−0.961167	+	1.66479i	−0.0591557	+	0.102461i
$265$	9.66599	−	10.5694i	0.593777	−	0.649275i
$266$	1.45403	−	0.389607i	0.0891524	−	0.0238883i
$267$	7.91365	−	13.7068i	0.484307	−	0.838845i
$268$			13.9123i			0.849827i
$269$	13.9653	+	8.06288i	0.851480	+	0.491602i	0.861150	−	0.508351i	$-0.169745\pi$
$269$	13.9653	+	8.06288i	0.851480	+	0.491602i	−0.00966987	+	0.999953i	$0.503078\pi$
$270$	10.7082	+	2.36290i	0.651679	+	0.143801i
$271$	−15.1445	−	4.05795i	−0.919961	−	0.246503i	−0.232392	−	0.972622i	$-0.574655\pi$
$271$	−15.1445	−	4.05795i	−0.919961	−	0.246503i	−0.687569	+	0.726119i	$0.741322\pi$
$272$	−3.64076	+	3.64076i	−0.220753	+	0.220753i
$273$	6.59291	+	11.3998i	0.399021	+	0.689950i
$274$		−	10.1380i		−	0.612460i
$275$	−9.77215	−	1.70328i	−0.589283	−	0.102711i
$276$	−1.22129	−	2.11533i	−0.0735128	−	0.127328i
$277$	5.48331	+	20.4640i	0.329460	+	1.22956i	0.909751	+	0.415154i	$0.136272\pi$
$277$	5.48331	+	20.4640i	0.329460	+	1.22956i	−0.580291	+	0.814409i	$0.697061\pi$
$278$	−6.32463			−0.379326
$279$	−5.35900	−	20.0000i	−0.320835	−	1.19737i
$280$	7.48011	+	3.88455i	0.447022	+	0.232146i
$281$	−8.41983	+	8.41983i	−0.502285	+	0.502285i	−0.912147	−	0.409863i	$-0.865577\pi$
$281$	−8.41983	+	8.41983i	−0.502285	+	0.502285i	0.409863	+	0.912147i	$0.365577\pi$
$282$	2.02700	−	0.543132i	0.120706	−	0.0323431i
$283$	−3.07011	+	11.4578i	−0.182499	+	0.681095i	0.812653	+	0.582748i	$0.198022\pi$
$283$	−3.07011	+	11.4578i	−0.182499	+	0.681095i	−0.995152	+	0.0983477i	$0.968644\pi$
$284$	−0.234633	+	0.875664i	−0.0139229	+	0.0519611i
$285$	0.0385931	+	0.864412i	0.00228606	+	0.0512034i
$286$	0.00527423	+	7.15304i	0.000311872	+	0.422968i
$287$	−0.930653	−	0.930653i	−0.0549347	−	0.0549347i
$288$	−1.03055	−	1.78496i	−0.0607257	−	0.105180i
$289$	−8.23608	+	4.75510i	−0.484475	+	0.279712i
$290$	−1.19776	+	2.30642i	−0.0703350	+	0.135437i
$291$	−11.8559	−	11.8559i	−0.695004	−	0.695004i
$292$	−7.26172	−	4.19255i	−0.424960	−	0.245351i
$293$	23.1746	+	13.3799i	1.35388	+	0.781661i	0.988790	−	0.149313i	$-0.0477062\pi$
$293$	23.1746	+	13.3799i	1.35388	+	0.781661i	0.365086	+	0.930974i	$0.381040\pi$
$294$	−4.93890	−	4.93890i	−0.288043	−	0.288043i
$295$	27.0632	−	8.56228i	1.57568	−	0.498515i
$296$	9.34919	−	5.39776i	0.543411	−	0.313738i
$297$	−4.86456	−	8.42567i	−0.282270	−	0.488907i
$298$	3.96552	+	3.96552i	0.229716	+	0.229716i
$299$	−7.87454	−	4.53863i	−0.455396	−	0.262476i
$300$	−3.10690	+	3.71749i	−0.179377	+	0.214629i
$301$	4.91540	−	18.3445i	0.283319	−	1.05736i
$302$	3.13641	−	11.7052i	0.180480	−	0.673561i
$303$	4.86839	−	1.30448i	0.279681	−	0.0749404i
$304$	0.282386	−	0.282386i	0.0161960	−	0.0161960i
$305$	−2.03026	+	3.90949i	−0.116253	+	0.223857i
$306$	−2.74664	−	10.2506i	−0.157015	−	0.585988i
$307$	0.284972			0.0162642			0.00813210	−	0.999967i	$-0.497411\pi$
$307$	0.284972			0.0162642			0.00813210	+	0.999967i	$0.497411\pi$
$308$	−1.93547	−	7.22328i	−0.110284	−	0.411585i
$309$	2.71977	+	4.71079i	0.154723	+	0.267987i
$310$	21.9356	+	4.84037i	1.24586	+	0.274915i
$311$		−	1.02509i		−	0.0581274i	−0.999578	−	0.0290637i	$-0.990747\pi$
$311$		−	1.02509i		−	0.0581274i	0.999578	−	0.0290637i	$-0.00925257\pi$
$312$	3.02689	+	1.74460i	0.171364	+	0.0987686i
$313$	−3.88598	+	3.88598i	−0.219649	+	0.219649i	−0.808350	−	0.588702i	$-0.799639\pi$
$313$	−3.88598	+	3.88598i	−0.219649	+	0.219649i	0.588702	+	0.808350i	$0.299639\pi$
$314$	−3.27309	−	0.877022i	−0.184711	−	0.0494932i
$315$	−14.6424	+	9.34850i	−0.825006	+	0.526728i
$316$	2.68950	+	1.55278i	0.151296	+	0.0873509i
$317$		−	2.45686i		−	0.137991i	−0.997617	−	0.0689956i	$-0.978021\pi$
$317$		−	2.45686i		−	0.137991i	0.997617	−	0.0689956i	$-0.0219794\pi$
$318$	−3.10330	+	5.37508i	−0.174025	+	0.301420i
$319$	2.22723	−	0.596783i	0.124701	−	0.0334134i
$320$	2.23384	−	0.0997335i	0.124876	−	0.00557527i
$321$	−4.48997	+	7.77686i	−0.250606	+	0.434062i
$322$	9.17811	+	2.45927i	0.511476	+	0.137050i
$323$	1.78072	−	1.02810i	0.0990819	−	0.0572050i
$324$	1.43143			0.0795238
$325$	−3.08246	+	17.7623i	−0.170984	+	0.985274i
$326$	17.6330			0.976604
$327$	−4.70818	+	2.71827i	−0.260363	+	0.150321i
$328$	−0.337268	−	0.0903706i	−0.0186225	−	0.00498988i
$329$	−4.08170	+	7.06971i	−0.225031	+	0.389766i
$330$	4.29419	−	0.191721i	0.236387	−	0.0105539i
$331$	6.49468	−	1.74025i	0.356980	−	0.0956525i	−0.0758718	−	0.997118i	$-0.524174\pi$
$331$	6.49468	−	1.74025i	0.356980	−	0.0956525i	0.432852	+	0.901465i	$0.357507\pi$
$332$	2.49194	−	4.31617i	0.136763	−	0.236880i
$333$			22.2506i			1.21933i
$334$	4.46822	+	2.57973i	0.244490	+	0.141156i
$335$	26.2204	−	16.7405i	1.43257	−	0.914633i
$336$	−3.52797	−	0.945318i	−0.192467	−	0.0515713i
$337$	5.43489	−	5.43489i	0.296057	−	0.296057i	−0.543410	−	0.839467i	$-0.682867\pi$
$337$	5.43489	−	5.43489i	0.296057	−	0.296057i	0.839467	+	0.543410i	$0.182867\pi$
$338$	13.0000	−	0.0191709i	0.707106	−	0.00104276i
$339$		−	5.36371i		−	0.291317i
$340$	11.2426	+	2.48083i	0.609717	+	0.134542i
$341$	−9.96500	−	17.2599i	−0.539635	−	0.934675i
$342$	0.213036	+	0.795063i	0.0115197	+	0.0429921i
$343$	0.785328			0.0424037
$344$	−1.30403	−	4.86670i	−0.0703086	−	0.262395i
$345$	−2.51719	+	4.84712i	−0.135521	+	0.260960i
$346$	0.802704	−	0.802704i	0.0431536	−	0.0431536i
$347$	−34.5616	+	9.26076i	−1.85537	+	0.497144i	−0.999789	−	0.0205336i	$-0.993463\pi$
$347$	−34.5616	+	9.26076i	−1.85537	+	0.497144i	−0.855576	+	0.517677i	$0.826797\pi$
$348$	0.291479	−	1.08781i	0.0156249	−	0.0583130i
$349$	−5.42298	+	20.2388i	−0.290285	+	1.08336i	0.654604	+	0.755972i	$0.272835\pi$
$349$	−5.42298	+	20.2388i	−0.290285	+	1.08336i	−0.944890	+	0.327388i	$0.893831\pi$
$350$	−1.67956	−	18.7720i	−0.0897762	−	1.00341i
$351$	−15.3064	+	8.85219i	−0.816993	+	0.472495i
$352$	−1.40283	−	1.40283i	−0.0747709	−	0.0747709i
$353$	−3.65558	−	6.33165i	−0.194567	−	0.336999i	0.752192	−	0.658944i	$-0.228997\pi$
$353$	−3.65558	−	6.33165i	−0.194567	−	0.336999i	−0.946758	+	0.321945i	$0.895663\pi$
$354$	−10.6525	+	6.15021i	−0.566173	+	0.326880i
$355$	1.93269	−	0.611467i	0.102577	−	0.0324533i
$356$	11.5500	+	11.5500i	0.612148	+	0.612148i
$357$	−16.2862	−	9.40282i	−0.861955	−	0.497650i
$358$	−4.71001	−	2.71932i	−0.248932	−	0.143721i
$359$	−18.6180	−	18.6180i	−0.982620	−	0.982620i	0.0172312	−	0.999852i	$-0.494515\pi$
$359$	−18.6180	−	18.6180i	−0.982620	−	0.982620i	−0.999852	+	0.0172312i	$0.994515\pi$
$360$	−2.12407	+	4.09011i	−0.111948	+	0.215568i
$361$	16.3164	−	9.42026i	0.858756	−	0.495803i
$362$	−8.39244	−	14.5361i	−0.441097	−	0.764002i
$363$	4.84011	+	4.84011i	0.254040	+	0.254040i
$364$	−13.1251	+	3.52722i	−0.687940	+	0.184877i
$365$	0.836276	+	18.7310i	0.0437727	+	0.980426i
$366$	0.494071	−	1.84390i	0.0258255	−	0.0963822i
$367$	−2.28221	+	8.51733i	−0.119130	+	0.444601i	−0.999563	−	0.0295711i	$-0.990586\pi$
$367$	−2.28221	+	8.51733i	−0.119130	+	0.444601i	0.880432	+	0.474172i	$0.157253\pi$
$368$	2.43490	−	0.652430i	0.126928	−	0.0340103i
$369$	0.508879	−	0.508879i	0.0264912	−	0.0264912i
$370$	−21.4230	−	11.1253i	−1.11373	−	0.578378i
$371$	−6.24903	−	23.3217i	−0.324433	−	1.21080i
$372$	−9.73415			−0.504692
$373$	6.64469	+	24.7983i	0.344049	+	1.28401i	0.893719	+	0.448627i	$0.148087\pi$
$373$	6.64469	+	24.7983i	0.344049	+	1.28401i	−0.549670	+	0.835382i	$0.685247\pi$
$374$	−5.10735	−	8.84619i	−0.264095	−	0.457425i
$375$	10.7448	+	1.38234i	0.554861	+	0.0713837i
$376$			2.16571i			0.111688i
$377$	−1.08758	−	4.04698i	−0.0560134	−	0.208430i
$378$	13.0711	−	13.0711i	0.672304	−	0.672304i
$379$	−11.5676	−	3.09953i	−0.594188	−	0.159212i	−0.0508216	−	0.998708i	$-0.516184\pi$
$379$	−11.5676	−	3.09953i	−0.594188	−	0.159212i	−0.543367	+	0.839495i	$0.682851\pi$
$380$	−0.872006	−	0.192419i	−0.0447330	−	0.00987090i
$381$	−0.375762	−	0.216946i	−0.0192508	−	0.0111145i
$382$		−	1.91517i		−	0.0979884i
$383$	−17.1646	+	29.7300i	−0.877073	+	1.51913i	−0.0225340	+	0.999746i	$0.507173\pi$
$383$	−17.1646	+	29.7300i	−0.877073	+	1.51913i	−0.854538	+	0.519388i	$0.826160\pi$
$384$	−0.935952	+	0.250788i	−0.0477626	+	0.0127980i
$385$	−11.2848	+	12.3395i	−0.575125	+	0.628879i
$386$	−9.86232	+	17.0820i	−0.501979	+	0.869453i
$387$	10.0308	+	2.68773i	0.509892	+	0.136625i
$388$	14.9854	−	8.65185i	0.760771	−	0.439231i
$389$	−33.2497			−1.68582			−0.842912	−	0.538051i	$-0.819161\pi$
$389$	−33.2497			−1.68582			−0.842912	+	0.538051i	$0.819161\pi$
$390$	−0.354190	−	7.80404i	−0.0179351	−	0.395173i
$391$	12.9791			0.656381
$392$	6.24261	−	3.60417i	0.315299	−	0.182038i
$393$	−13.8363	−	3.70743i	−0.697950	−	0.187015i
$394$	−5.47748	+	9.48728i	−0.275952	+	0.477962i
$395$	−0.309729	−	6.93734i	−0.0155841	−	0.349056i
$396$	3.94968	−	1.05831i	0.198479	−	0.0531822i
$397$	3.18246	−	5.51217i	0.159723	−	0.276648i	−0.775046	−	0.631905i	$-0.782273\pi$
$397$	3.18246	−	5.51217i	0.159723	−	0.276648i	0.934769	+	0.355257i	$0.115607\pi$
$398$			11.8195i			0.592457i
$399$	1.26320	+	0.729307i	0.0632389	+	0.0365110i
$400$	−2.87593	−	4.09011i	−0.143797	−	0.204505i
$401$	−12.2984	−	3.29534i	−0.614151	−	0.164561i	−0.0616838	−	0.998096i	$-0.519647\pi$
$401$	−12.2984	−	3.29534i	−0.614151	−	0.164561i	−0.552468	+	0.833534i	$0.686314\pi$
$402$	−9.53219	+	9.53219i	−0.475423	+	0.475423i
$403$	−31.3549	+	18.1336i	−1.56190	+	0.903299i
$404$			5.20153i			0.258786i
$405$	−1.72243	−	2.69781i	−0.0855881	−	0.134055i
$406$	2.19050	+	3.79406i	0.108713	+	0.188296i
$407$	5.54318	+	20.6874i	0.274765	+	1.02544i
$408$	−4.98903			−0.246994
$409$	−5.36650	−	20.0280i	−0.265356	−	0.990323i	−0.962032	−	0.272937i	$-0.912005\pi$
$409$	−5.36650	−	20.0280i	−0.265356	−	0.990323i	0.696676	−	0.717386i	$-0.254662\pi$
$410$	0.235511	+	0.744390i	0.0116310	+	0.0367628i
$411$	6.94621	−	6.94621i	0.342631	−	0.342631i
$412$	−5.42247	+	1.45295i	−0.267146	+	0.0715815i
$413$	12.3845	−	46.2195i	0.609401	−	2.27431i
$414$	−1.34472	+	5.01858i	−0.0660896	+	0.246650i
$415$	−11.1332	+	0.497060i	−0.546508	+	0.0243997i
$416$	−2.54763	+	2.55139i	−0.124908	+	0.125092i
$417$	−4.33341	−	4.33341i	−0.212208	−	0.212208i
$418$	0.396139	+	0.686133i	0.0193758	+	0.0335599i
$419$	12.0178	−	6.93846i	0.587106	−	0.338966i	−0.176846	−	0.984238i	$-0.556590\pi$
$419$	12.0178	−	6.93846i	0.587106	−	0.338966i	0.763952	+	0.645273i	$0.223256\pi$
$420$	2.46355	+	7.78666i	0.120209	+	0.379950i
$421$	7.42389	+	7.42389i	0.361818	+	0.361818i	0.864482	−	0.502664i	$-0.167647\pi$
$421$	7.42389	+	7.42389i	0.361818	+	0.361818i	−0.502664	+	0.864482i	$0.667647\pi$
$422$	15.4732	+	8.93348i	0.753226	+	0.434875i
$423$	−3.86571	−	2.23187i	−0.187957	−	0.108517i
$424$	−4.52928	−	4.52928i	−0.219961	−	0.219961i
$425$	−8.85256	−	24.1741i	−0.429412	−	1.17262i
$426$	−0.760736	+	0.439211i	−0.0368578	+	0.0212799i
$427$	3.71300	+	6.43111i	0.179685	+	0.311223i
$428$	−6.55313	−	6.55313i	−0.316758	−	0.316758i
$429$	−4.89739	+	4.90462i	−0.236448	+	0.236797i
$430$	−7.60314	+	8.31377i	−0.366656	+	0.400926i
$431$	−10.0156	+	37.3789i	−0.482436	+	1.80048i	0.108901	+	0.994053i	$0.465267\pi$
$431$	−10.0156	+	37.3789i	−0.482436	+	1.80048i	−0.591337	+	0.806424i	$0.701400\pi$
$432$	1.26926	−	4.73695i	0.0610673	−	0.227906i
$433$	−17.3395	+	4.64610i	−0.833282	+	0.223277i	−0.650145	−	0.759810i	$-0.725292\pi$
$433$	−17.3395	+	4.64610i	−0.833282	+	0.223277i	−0.183137	+	0.983087i	$0.558625\pi$
$434$	26.7760	−	26.7760i	1.28529	−	1.28529i
$435$	−2.40094	+	0.759610i	−0.115116	+	0.0364205i
$436$	−1.45214	−	5.41947i	−0.0695450	−	0.259545i
$437$	−1.00669			−0.0481566
$438$	−2.10288	−	7.84806i	−0.100480	−	0.374995i
$439$	15.6117	+	27.0402i	0.745104	+	1.29056i	0.950146	+	0.311804i	$0.100933\pi$
$439$	15.6117	+	27.0402i	0.745104	+	1.29056i	−0.205043	+	0.978753i	$0.565733\pi$
$440$	−0.955893	+	4.33192i	−0.0455704	+	0.206516i
$441$			14.8571i			0.707481i
$442$	−16.0703	+	9.29399i	−0.764386	+	0.442070i
$443$	−14.2963	+	14.2963i	−0.679238	+	0.679238i	−0.959828	−	0.280589i	$-0.909470\pi$
$443$	−14.2963	+	14.2963i	−0.679238	+	0.679238i	0.280589	+	0.959828i	$0.409470\pi$
$444$	10.1041	+	2.70738i	0.479519	+	0.128487i
$445$	7.87022	−	35.6663i	0.373084	−	1.69074i
$446$	−7.66822	−	4.42725i	−0.363101	−	0.209636i
$447$			5.43406i			0.257022i
$448$	1.88470	−	3.26439i	0.0890436	−	0.154228i
$449$	20.6314	−	5.52817i	0.973657	−	0.260891i	0.263286	−	0.964718i	$-0.415194\pi$
$449$	20.6314	−	5.52817i	0.973657	−	0.260891i	0.710371	+	0.703827i	$0.248527\pi$
$450$	10.2645	−	0.918380i	0.483873	−	0.0432928i
$451$	0.346354	−	0.599902i	0.0163092	−	0.0282483i
$452$	5.34686	+	1.43269i	0.251495	+	0.0673879i
$453$	10.1690	−	5.87106i	0.477780	−	0.275846i
$454$	21.7844			1.02239
$455$	22.4410	+	20.4925i	1.05205	+	0.960703i
$456$	0.386962			0.0181212
$457$	10.2320	−	5.90744i	0.478632	−	0.276338i	−0.241214	−	0.970472i	$-0.577546\pi$
$457$	10.2320	−	5.90744i	0.478632	−	0.276338i	0.719846	+	0.694134i	$0.244212\pi$
$458$	10.8322	+	2.90249i	0.506157	+	0.135624i
$459$	12.6250	−	21.8671i	0.589284	−	1.02067i
$460$	−4.15954	−	3.80399i	−0.193939	−	0.177362i
$461$	−6.93599	+	1.85849i	−0.323041	+	0.0865586i	−0.416695	−	0.909046i	$-0.636812\pi$
$461$	−6.93599	+	1.85849i	−0.323041	+	0.0865586i	0.0936542	+	0.995605i	$0.470145\pi$
$462$	3.62302	−	6.27525i	0.168558	−	0.291951i
$463$		−	29.7640i		−	1.38325i	−0.722257	−	0.691625i	$-0.756895\pi$
$463$		−	29.7640i		−	1.38325i	0.722257	−	0.691625i	$-0.243105\pi$
$464$	1.00654	+	0.581127i	0.0467276	+	0.0269782i
$465$	11.7130	+	18.3459i	0.543179	+	0.850772i
$466$	−2.58981	−	0.693937i	−0.119971	−	0.0321460i
$467$	−16.9753	+	16.9753i	−0.785525	+	0.785525i	−0.980757	−	0.195232i	$-0.937454\pi$
$467$	−16.9753	+	16.9753i	−0.785525	+	0.785525i	0.195232	+	0.980757i	$0.437454\pi$
$468$	−1.92868	−	7.17676i	−0.0891533	−	0.331746i
$469$		−	52.4409i		−	2.42149i
$470$	4.08170	−	2.60598i	0.188275	−	0.120205i
$471$	−1.64170	−	2.84351i	−0.0756456	−	0.131022i
$472$	−3.28554	−	12.2618i	−0.151229	−	0.564395i
$473$	9.99563			0.459599
$474$	0.778837	+	2.90666i	0.0357732	+	0.133507i
$475$	0.686627	+	1.87501i	0.0315046	+	0.0860311i
$476$	13.7234	−	13.7234i	0.629013	−	0.629013i
$477$	12.7523	−	3.41696i	0.583886	−	0.156452i
$478$	−0.891913	+	3.32867i	−0.0407952	+	0.152250i
$479$	−8.07862	+	30.1498i	−0.369121	+	1.37758i	0.492625	+	0.870242i	$0.336037\pi$
$479$	−8.07862	+	30.1498i	−0.369121	+	1.37758i	−0.861747	+	0.507339i	$0.830629\pi$
$480$	1.59888	+	1.46222i	0.0729787	+	0.0667407i
$481$	37.5901	−	10.1019i	1.71396	−	0.460609i
$482$	20.9103	+	20.9103i	0.952440	+	0.952440i
$483$	4.60351	+	7.97352i	0.209467	+	0.362808i
$484$	−6.11774	+	3.53208i	−0.278079	+	0.160549i
$485$	−34.3380	−	17.8323i	−1.55921	−	0.809724i
$486$	11.3838	+	11.3838i	0.516381	+	0.516381i
$487$	21.4064	+	12.3590i	0.970015	+	0.560038i	0.899241	−	0.437454i	$-0.144120\pi$
$487$	21.4064	+	12.3590i	0.970015	+	0.560038i	0.0707743	+	0.997492i	$0.477453\pi$
$488$	1.70614	+	0.985039i	0.0772333	+	0.0445906i
$489$	12.0815	+	12.0815i	0.546346	+	0.546346i
$490$	−14.3045	−	7.42856i	−0.646210	−	0.335588i
$491$	−3.52957	+	2.03780i	−0.159287	+	0.0919645i	−0.577525	−	0.816373i	$-0.695981\pi$
$491$	−3.52957	+	2.03780i	−0.159287	+	0.0919645i	0.418238	+	0.908338i	$0.362648\pi$
$492$	−0.169165	−	0.293003i	−0.00762655	−	0.0132096i
$493$	4.23149	+	4.23149i	0.190577	+	0.190577i
$494$	1.24645	−	0.720866i	0.0560806	−	0.0324333i
$495$	−6.74722	−	6.17049i	−0.303265	−	0.277343i
$496$	2.60007	−	9.70358i	0.116746	−	0.435704i
$497$	0.884426	−	3.30072i	0.0396719	−	0.148058i
$498$	4.66467	−	1.24990i	0.209029	−	0.0560092i
$499$	−14.5534	+	14.5534i	−0.651500	+	0.651500i	−0.953354	−	0.301854i	$-0.902394\pi$
$499$	−14.5534	+	14.5534i	−0.651500	+	0.651500i	0.301854	+	0.953354i	$0.402394\pi$
$500$	−4.24803	+	10.3419i	−0.189978	+	0.462502i
$501$	1.29393	+	4.82900i	0.0578084	+	0.215744i
$502$	−26.2177			−1.17016
$503$	−5.26719	−	19.6574i	−0.234852	−	0.876481i	−0.978215	−	0.207593i	$-0.933437\pi$
$503$	−5.26719	−	19.6574i	−0.234852	−	0.876481i	0.743363	−	0.668888i	$-0.233229\pi$
$504$	3.88455	+	6.72824i	0.173032	+	0.299699i
$505$	9.80332	−	6.25897i	0.436242	−	0.278520i
$506$			5.00100i			0.222322i
$507$	8.92026	+	8.89399i	0.396163	+	0.394996i
$508$	0.316633	−	0.316633i	0.0140483	−	0.0140483i
$509$	31.5138	+	8.44410i	1.39682	+	0.374278i	0.877203	−	0.480119i	$-0.159407\pi$
$509$	31.5138	+	8.44410i	1.39682	+	0.374278i	0.519621	+	0.854397i	$0.326073\pi$
$510$	6.00327	+	9.40282i	0.265829	+	0.416364i
$511$	27.3723	+	15.8034i	1.21088	+	0.699101i
$512$		−	1.00000i		−	0.0441942i
$513$	−0.979227	+	1.69607i	−0.0432339	+	0.0748833i
$514$	−16.0997	+	4.31389i	−0.710126	+	0.190278i
$515$	9.26318	+	8.47139i	0.408184	+	0.373294i
$516$	2.44102	−	4.22797i	0.107460	−	0.186126i
$517$	−4.15013	−	1.11203i	−0.182523	−	0.0489068i
$518$	−35.2408	+	20.3463i	−1.54839	+	0.893965i
$519$	1.09997			0.0482832
$520$	7.87414	+	1.73144i	0.345304	+	0.0759288i
$521$	−44.2788			−1.93989			−0.969945	−	0.243325i	$-0.921762\pi$
$521$	−44.2788			−1.93989			−0.969945	+	0.243325i	$0.921762\pi$
$522$	−2.07458	+	1.19776i	−0.0908021	+	0.0524246i
$523$	14.3107	+	3.83454i	0.625764	+	0.167673i	0.557747	−	0.830011i	$-0.311666\pi$
$523$	14.3107	+	3.83454i	0.625764	+	0.167673i	0.0680170	+	0.997684i	$0.478333\pi$
$524$	7.39157	−	12.8026i	0.322902	−	0.559283i
$525$	11.7111	−	14.0127i	0.511116	−	0.611563i
$526$	−14.6464	+	3.92449i	−0.638613	+	0.171116i
$527$	25.8622	−	44.7946i	1.12657	−	1.95128i
$528$		−	1.92233i		−	0.0836588i
$529$	14.4155	+	8.32279i	0.626761	+	0.361860i
$530$	−3.08628	+	13.9864i	−0.134059	+	0.607530i
$531$	25.2728	+	6.77182i	1.09674	+	0.293872i
$532$	−1.06443	+	1.06443i	−0.0461487	+	0.0461487i
$533$	−1.09073	−	0.628662i	−0.0472448	−	0.0272304i
$534$			15.8273i			0.684914i
$535$	−4.46534	+	20.2360i	−0.193053	+	0.874879i
$536$	−6.95614	−	12.0484i	−0.300459	−	0.520411i
$537$	−1.36395	−	5.09031i	−0.0588586	−	0.219663i
$538$	−16.1258			−0.695231
$539$	3.70127	+	13.8133i	0.159425	+	0.594982i
$540$	−10.4550	+	3.30776i	−0.449912	+	0.142343i
$541$	−5.82293	+	5.82293i	−0.250347	+	0.250347i	−0.821113	−	0.570766i	$-0.806646\pi$
$541$	−5.82293	+	5.82293i	−0.250347	+	0.250347i	0.570766	+	0.821113i	$0.306646\pi$
$542$	15.1445	−	4.05795i	0.650511	−	0.174304i
$543$	4.20944	−	15.7098i	0.180644	−	0.674174i
$544$	1.33261	−	4.97337i	0.0571351	−	0.213231i
$545$	−8.46671	+	9.25806i	−0.362674	+	0.396572i
$546$	−11.4096	−	6.57610i	−0.488284	−	0.281431i
$547$	4.24613	+	4.24613i	0.181551	+	0.181551i	0.792032	−	0.610480i	$-0.209024\pi$
$547$	4.24613	+	4.24613i	0.181551	+	0.181551i	−0.610480	+	0.792032i	$0.709024\pi$
$548$	5.06901	+	8.77979i	0.216537	+	0.375054i
$549$	−3.51652	+	2.03026i	−0.150081	+	0.0866496i
$550$	9.31457	−	3.41099i	0.397175	−	0.145445i
$551$	−0.328205	−	0.328205i	−0.0139820	−	0.0139820i
$552$	2.11533	+	1.22129i	0.0900345	+	0.0519814i
$553$	−10.1378	−	5.85305i	−0.431102	−	0.248897i
$554$	−14.9807	−	14.9807i	−0.636469	−	0.636469i
$555$	−7.05558	−	22.3009i	−0.299493	−	0.946622i
$556$	5.47729	−	3.16232i	0.232289	−	0.134112i
$557$	−11.4969	−	19.9132i	−0.487140	−	0.843751i	0.512751	−	0.858537i	$-0.328626\pi$
$557$	−11.4969	−	19.9132i	−0.487140	−	0.843751i	−0.999891	+	0.0147865i	$0.995293\pi$
$558$	14.6411	+	14.6411i	0.619805	+	0.619805i
$559$	−0.0133947	−	18.1661i	−0.000566533	−	0.768346i
$560$	−8.42024	+	0.375935i	−0.355820	+	0.0158861i
$561$	2.56172	−	9.56047i	0.108156	−	0.403643i
$562$	3.08187	−	11.5017i	0.130001	−	0.485170i
$563$	15.8729	−	4.25312i	0.668962	−	0.179248i	0.0916745	−	0.995789i	$-0.470778\pi$
$563$	15.8729	−	4.25312i	0.668962	−	0.179248i	0.577287	+	0.816541i	$0.304111\pi$
$564$	−1.48386	+	1.48386i	−0.0624820	+	0.0624820i
$565$	−3.73366	−	11.8012i	−0.157076	−	0.496479i
$566$	−3.07011	−	11.4578i	−0.129046	−	0.481607i
$567$	−5.39562			−0.226595
$568$	−0.234633	−	0.875664i	−0.00984500	−	0.0367420i
$569$	−6.91493	−	11.9770i	−0.289889	−	0.502102i	0.683894	−	0.729581i	$-0.260285\pi$
$569$	−6.91493	−	11.9770i	−0.289889	−	0.502102i	−0.973783	+	0.227479i	$0.926952\pi$
$570$	−0.465629	−	0.729307i	−0.0195030	−	0.0305473i
$571$		−	7.17030i		−	0.300068i	−0.988681	−	0.150034i	$-0.952062\pi$
$571$		−	7.17030i		−	0.300068i	0.988681	−	0.150034i	$-0.0479383\pi$
$572$	−3.58109	−	6.19207i	−0.149733	−	0.258904i
$573$	1.31220	−	1.31220i	0.0548181	−	0.0548181i
$574$	1.27130	+	0.340643i	0.0530628	+	0.0142181i
$575$	−2.16423	+	12.4168i	−0.0902548	+	0.517816i
$576$	1.78496	+	1.03055i	0.0743735	+	0.0429396i
$577$		−	1.60982i		−	0.0670175i	−0.999438	−	0.0335088i	$-0.989332\pi$
$577$		−	1.60982i		−	0.0670175i	0.999438	−	0.0335088i	$-0.0106682\pi$
$578$	4.75510	−	8.23608i	0.197786	−	0.342576i
$579$	−18.4613	+	4.94670i	−0.767226	+	0.205578i
$580$	−0.115916	−	2.59629i	−0.00481314	−	0.107805i
$581$	−9.39311	+	16.2693i	−0.389692	+	0.674966i
$582$	16.1954	+	4.33955i	0.671322	+	0.179880i
$583$	11.0051	−	6.35380i	0.455785	−	0.263147i
$584$	8.38511			0.346978
$585$	−11.2053	+	12.2707i	−0.463280	+	0.507332i
$586$	−26.7598			−1.10544
$587$	2.17897	−	1.25803i	0.0899355	−	0.0519243i	−0.454358	−	0.890819i	$-0.650131\pi$
$587$	2.17897	−	1.25803i	0.0899355	−	0.0519243i	0.544293	+	0.838895i	$0.316798\pi$
$588$	6.74666	+	1.80776i	0.278228	+	0.0745509i
$589$	−2.00594	+	3.47438i	−0.0826531	+	0.143159i
$590$	−19.1563	+	20.9468i	−0.788653	+	0.862365i
$591$	−10.2533	+	2.74737i	−0.421765	+	0.113012i
$592$	−5.39776	+	9.34919i	−0.221847	+	0.384249i
$593$		−	17.2633i		−	0.708920i	−0.935071	−	0.354460i	$-0.884665\pi$
$593$		−	17.2633i		−	0.708920i	0.935071	−	0.354460i	$-0.115335\pi$
$594$	8.42567	+	4.86456i	0.345709	+	0.199595i
$595$	−42.3779	−	9.35122i	−1.73732	−	0.383363i
$596$	−5.41700	−	1.45148i	−0.221889	−	0.0594550i
$597$	−8.09828	+	8.09828i	−0.331441	+	0.331441i
$598$	9.08886	−	0.00670159i	0.371671	−	0.000274049i
$599$		−	22.8903i		−	0.935274i	−0.883921	−	0.467637i	$-0.845106\pi$
$599$		−	22.8903i		−	0.935274i	0.883921	−	0.467637i	$-0.154894\pi$
$600$	0.831910	−	4.77289i	0.0339626	−	0.194852i
$601$	7.63567	+	13.2254i	0.311466	+	0.539474i	0.978680	−	0.205392i	$-0.0658468\pi$
$601$	7.63567	+	13.2254i	0.311466	+	0.539474i	−0.667214	+	0.744866i	$0.732513\pi$
$602$	4.91540	+	18.3445i	0.200337	+	0.747667i
$603$	28.6746			1.16772
$604$	3.13641	+	11.7052i	0.127619	+	0.476280i
$605$	14.0183	+	7.27996i	0.569926	+	0.295973i
$606$	−3.56391	+	3.56391i	−0.144774	+	0.144774i
$607$	−4.67819	+	1.25352i	−0.189882	+	0.0508787i	−0.352507	−	0.935809i	$-0.614671\pi$
$607$	−4.67819	+	1.25352i	−0.189882	+	0.0508787i	0.162625	+	0.986688i	$0.448004\pi$
$608$	−0.103361	+	0.385747i	−0.00419182	+	0.0156441i
$609$	−1.09870	+	4.10040i	−0.0445216	+	0.166157i
$610$	−0.196483	−	4.40085i	−0.00795535	−	0.178185i
$611$	−2.01544	+	7.54398i	−0.0815361	+	0.305197i
$612$	7.50396	+	7.50396i	0.303330	+	0.303330i
$613$	−19.0730	−	33.0354i	−0.770352	−	1.33429i	−0.937370	−	0.348335i	$-0.886747\pi$
$613$	−19.0730	−	33.0354i	−0.770352	−	1.33429i	0.167018	−	0.985954i	$-0.446586\pi$
$614$	−0.246793	+	0.142486i	−0.00995974	+	0.00575026i
$615$	−0.348666	+	0.671393i	−0.0140596	+	0.0270732i
$616$	5.28781	+	5.28781i	0.213052	+	0.213052i
$617$	18.1479	+	10.4777i	0.730606	+	0.421816i	0.818644	−	0.574301i	$-0.194726\pi$
$617$	18.1479	+	10.4777i	0.730606	+	0.421816i	−0.0880377	+	0.996117i	$0.528060\pi$
$618$	−4.71079	−	2.71977i	−0.189496	−	0.109405i
$619$	28.5318	+	28.5318i	1.14679	+	1.14679i	0.987180	+	0.159612i	$0.0510242\pi$
$619$	28.5318	+	28.5318i	1.14679	+	1.14679i	0.159612	+	0.987180i	$0.448976\pi$
$620$	−21.4170	+	6.77591i	−0.860126	+	0.272127i
$621$	−10.7059	+	6.18105i	−0.429613	+	0.248037i
$622$	0.512544	+	0.887753i	0.0205512	+	0.0355956i
$623$	−43.5365	−	43.5365i	−1.74425	−	1.74425i
$624$	−3.49367	+	0.00257603i	−0.139859	+	0.000103124i
$625$	24.6029	−	4.43805i	0.984117	−	0.177522i
$626$	1.42237	−	5.30835i	0.0568492	−	0.212164i
$627$	−0.198693	+	0.741534i	−0.00793505	+	0.0296140i
$628$	3.27309	−	0.877022i	0.130610	−	0.0349970i
$629$	−39.3038	+	39.3038i	−1.56715	+	1.56715i
$630$	8.00644	−	15.4172i	0.318984	−	0.614238i
$631$	4.56935	+	17.0530i	0.181903	+	0.678870i	0.995272	+	0.0971231i	$0.0309641\pi$
$631$	4.56935	+	17.0530i	0.181903	+	0.678870i	−0.813370	+	0.581747i	$0.802369\pi$
$632$	−3.10557			−0.123533
$633$	4.48081	+	16.7226i	0.178096	+	0.664665i
$634$	1.22843	+	2.12771i	0.0487872	+	0.0845020i
$635$	−0.977761	−	0.215756i	−0.0388013	−	0.00856200i
$636$		−	6.20661i		−	0.246108i
$637$	25.0995	−	6.74523i	0.994478	−	0.267256i
$638$	−1.63044	+	1.63044i	−0.0645498	+	0.0645498i
$639$	1.80483	+	0.483603i	0.0713980	+	0.0191310i
$640$	−1.88470	+	1.20329i	−0.0744992	+	0.0475643i
$641$	−25.9381	−	14.9753i	−1.02449	−	0.591490i	−0.109090	−	0.994032i	$-0.534794\pi$
$641$	−25.9381	−	14.9753i	−1.02449	−	0.591490i	−0.915402	+	0.402542i	$0.868127\pi$
$642$		−	8.97995i		−	0.354410i
$643$	7.61631	−	13.1918i	0.300358	−	0.520235i	−0.675859	−	0.737031i	$-0.736227\pi$
$643$	7.61631	−	13.1918i	0.300358	−	0.520235i	0.976217	+	0.216796i	$0.0695605\pi$
$644$	−9.17811	+	2.45927i	−0.361668	+	0.0969087i
$645$	−10.9057	+	0.486902i	−0.429412	+	0.0191718i
$646$	−1.02810	+	1.78072i	−0.0404500	+	0.0700615i
$647$	−20.4529	−	5.48034i	−0.804086	−	0.215454i	−0.166709	−	0.986006i	$-0.553314\pi$
$647$	−20.4529	−	5.48034i	−0.804086	−	0.215454i	−0.637377	+	0.770552i	$0.719981\pi$
$648$	−1.23965	+	0.715714i	−0.0486982	+	0.0281159i
$649$	25.1842			0.988568
$650$	−6.21165	−	16.9238i	−0.243641	−	0.663806i
$651$	36.6919			1.43807
$652$	−15.2707	+	8.81652i	−0.598045	+	0.345282i
$653$	5.78458	+	1.54997i	0.226368	+	0.0606551i	0.370220	−	0.928944i	$-0.379282\pi$
$653$	5.78458	+	1.54997i	0.226368	+	0.0606551i	−0.143852	+	0.989599i	$0.545949\pi$
$654$	2.71827	−	4.70818i	0.106293	−	0.184105i
$655$	−33.0232	+	1.47437i	−1.29032	+	0.0576086i
$656$	0.337268	−	0.0903706i	0.0131681	−	0.00352838i
$657$	−8.64127	+	14.9671i	−0.337128	+	0.583923i
$658$		−	8.16340i		−	0.318243i
$659$	11.1058	+	6.41196i	0.432622	+	0.249774i	0.700463	−	0.713689i	$-0.252977\pi$
$659$	11.1058	+	6.41196i	0.432622	+	0.249774i	−0.267841	+	0.963463i	$0.586310\pi$
$660$	−3.62302	+	2.31313i	−0.141026	+	0.0900385i
$661$	−16.0707	−	4.30613i	−0.625077	−	0.167489i	−0.0676424	−	0.997710i	$-0.521548\pi$
$661$	−16.0707	−	4.30613i	−0.625077	−	0.167489i	−0.557435	+	0.830221i	$0.688214\pi$
$662$	−4.75444	+	4.75444i	−0.184787	+	0.184787i
$663$	−17.3787	−	4.64288i	−0.674933	−	0.180315i
$664$			4.98388i			0.193412i
$665$	3.28694	+	0.725305i	0.127462	+	0.0281261i
$666$	−11.1253	−	19.2696i	−0.431097	−	0.746682i
$667$	−0.758290	−	2.82998i	−0.0293611	−	0.109577i
$668$	−5.15946			−0.199625
$669$	−2.22060	−	8.28739i	−0.0858533	−	0.320409i
$670$	−14.3373	+	27.6079i	−0.553898	+	1.06659i
$671$	−2.76368	+	2.76368i	−0.106691	+	0.106691i
$672$	3.52797	−	0.945318i	0.136095	−	0.0364664i
$673$	2.55148	−	9.52225i	0.0983523	−	0.367056i	−0.899154	−	0.437632i	$-0.855817\pi$
$673$	2.55148	−	9.52225i	0.0983523	−	0.367056i	0.997506	+	0.0705765i	$0.0224839\pi$
$674$	−1.98931	+	7.42420i	−0.0766253	+	0.285970i
$675$	18.8146	+	15.7243i	0.724173	+	0.605229i
$676$	−11.2487	+	6.51660i	−0.432644	+	0.250638i
$677$	7.43673	+	7.43673i	0.285817	+	0.285817i	0.835423	−	0.549607i	$-0.185222\pi$
$677$	7.43673	+	7.43673i	0.285817	+	0.285817i	−0.549607	+	0.835423i	$0.685222\pi$
$678$	2.68185	+	4.64511i	0.102996	+	0.178394i
$679$	−56.4861	+	32.6122i	−2.16774	+	1.25154i
$680$	−10.9768	+	3.47285i	−0.420941	+	0.133178i
$681$	14.9259	+	14.9259i	0.571962	+	0.571962i
$682$	17.2599	+	9.96500i	0.660915	+	0.381580i
$683$	33.2418	+	19.1922i	1.27196	+	0.734368i	0.975357	−	0.220632i	$-0.0708119\pi$
$683$	33.2418	+	19.1922i	1.27196	+	0.734368i	0.296606	+	0.955000i	$0.404145\pi$
$684$	−0.582026	−	0.582026i	−0.0222543	−	0.0222543i
$685$	10.4477	−	20.1182i	0.399187	−	0.768677i
$686$	−0.680114	+	0.392664i	−0.0259669	+	0.0149920i
$687$	5.43318	+	9.41055i	0.207289	+	0.359035i
$688$	3.56267	+	3.56267i	0.135826	+	0.135826i
$689$	−11.5622	−	19.9923i	−0.440485	−	0.761644i
$690$	−0.243606	−	5.45633i	−0.00927393	−	0.207719i
$691$	0.195281	−	0.728798i	0.00742883	−	0.0277248i	−0.962112	−	0.272655i	$-0.912098\pi$
$691$	0.195281	−	0.728798i	0.00742883	−	0.0277248i	0.969541	+	0.244930i	$0.0787650\pi$
$692$	−0.293810	+	1.09651i	−0.0111690	+	0.0416832i
$693$	−14.8879	+	3.98920i	−0.565544	+	0.151537i
$694$	25.3009	−	25.3009i	0.960408	−	0.960408i
$695$	−12.5508	−	6.51785i	−0.476079	−	0.247236i
$696$	0.291479	+	1.08781i	0.0110485	+	0.0412335i
$697$	1.79778			0.0680959
$698$	−5.42298	−	20.2388i	−0.205263	−	0.766051i
$699$	−1.29898	−	2.24991i	−0.0491321	−	0.0850993i
$700$	10.8405	+	15.4172i	0.409734	+	0.582717i
$701$		−	28.2770i		−	1.06801i	−0.845482	−	0.534003i	$-0.820687\pi$
$701$		−	28.2770i		−	1.06801i	0.845482	−	0.534003i	$-0.179313\pi$
$702$	8.82960	−	15.3194i	0.333252	−	0.578193i
$703$	3.04851	−	3.04851i	0.114977	−	0.114977i
$704$	1.91630	+	0.513470i	0.0722231	+	0.0193521i
$705$	4.58216	+	1.01111i	0.172574	+	0.0380807i
$706$	6.33165	+	3.65558i	0.238295	+	0.137579i
$707$		−	19.6066i		−	0.737384i
$708$	6.15021	−	10.6525i	0.231139	−	0.400345i
$709$	13.9738	−	3.74427i	0.524797	−	0.140619i	0.0133124	−	0.999911i	$-0.495762\pi$
$709$	13.9738	−	3.74427i	0.524797	−	0.140619i	0.511485	+	0.859292i	$0.329096\pi$
$710$	−1.36803	+	1.49589i	−0.0513412	+	0.0561399i
$711$	3.20044	−	5.54332i	0.120026	−	0.207891i
$712$	−15.7776	−	4.22759i	−0.591290	−	0.158436i
$713$	−21.9309	+	12.6618i	−0.821319	+	0.474189i
$714$	18.8056			0.703783
$715$	−7.36109	+	14.2001i	−0.275289	+	0.531055i
$716$	5.43865			0.203252
$717$	−2.89179	+	1.66958i	−0.107996	+	0.0623515i
$718$	25.4327	+	6.81466i	0.949138	+	0.254321i
$719$	−13.9121	+	24.0965i	−0.518835	+	0.898649i	0.480925	+	0.876762i	$0.340301\pi$
$719$	−13.9121	+	24.0965i	−0.518835	+	0.898649i	−0.999760	+	0.0218872i	$0.993033\pi$
$720$	−0.205561	−	4.60417i	−0.00766079	−	0.171587i
$721$	20.4394	−	5.47673i	0.761204	−	0.203964i
$722$	−9.42026	+	16.3164i	−0.350586	+	0.607232i
$723$			28.6541i			1.06566i
$724$	14.5361	+	8.39244i	0.540231	+	0.311903i
$725$	−4.75375	+	3.34257i	−0.176550	+	0.124140i
$726$	−6.61171	−	1.77160i	−0.245384	−	0.0657503i
$727$	1.02036	−	1.02036i	0.0378431	−	0.0378431i	−0.687932	−	0.725775i	$-0.741481\pi$
$727$	1.02036	−	1.02036i	0.0378431	−	0.0378431i	0.725775	+	0.687932i	$0.241481\pi$
$728$	9.60302	−	9.61719i	0.355912	−	0.356437i
$729$			11.3053i			0.418715i
$730$	−10.0897	−	15.8034i	−0.373438	−	0.584910i
$731$	12.9708	+	22.4661i	0.479743	+	0.830940i
$732$	0.494071	+	1.84390i	0.0182614	+	0.0681525i
$733$	−6.01412			−0.222137			−0.111068	−	0.993813i	$-0.535427\pi$
$733$	−6.01412			−0.222137			−0.111068	+	0.993813i	$0.535427\pi$
$734$	−2.28221	−	8.51733i	−0.0842379	−	0.314380i
$735$	−4.71113	−	14.8907i	−0.173773	−	0.549251i
$736$	−1.78247	+	1.78247i	−0.0657028	+	0.0657028i
$737$	26.6600	−	7.14353i	0.982035	−	0.263135i
$738$	−0.186263	+	0.695142i	−0.00685643	+	0.0255885i
$739$	8.51002	−	31.7598i	0.313046	−	1.16830i	−0.612749	−	0.790278i	$-0.709936\pi$
$739$	8.51002	−	31.7598i	0.313046	−	1.16830i	0.925795	−	0.378026i	$-0.123397\pi$
$740$	24.1155	−	1.07667i	0.886503	−	0.0395793i
$741$	1.34794	+	0.360114i	0.0495177	+	0.0132291i
$742$	17.0727	+	17.0727i	0.626757	+	0.626757i
$743$	−9.20450	−	15.9427i	−0.337680	−	0.584879i	0.646316	−	0.763070i	$-0.276309\pi$
$743$	−9.20450	−	15.9427i	−0.337680	−	0.584879i	−0.983996	+	0.178191i	$0.942976\pi$
$744$	8.43002	−	4.86708i	0.309060	−	0.178436i
$745$	3.78263	+	11.9560i	0.138585	+	0.438033i
$746$	−18.1536	−	18.1536i	−0.664652	−	0.664652i
$747$	−8.89605	−	5.13614i	−0.325489	−	0.187921i
$748$	8.84619	+	5.10735i	0.323449	+	0.186743i
$749$	24.7014	+	24.7014i	0.902568	+	0.902568i
$750$	−9.99648	+	4.17528i	−0.365020	+	0.152460i
$751$	−35.4015	+	20.4390i	−1.29182	+	0.745831i	−0.978976	−	0.203974i	$-0.934614\pi$
$751$	−35.4015	+	20.4390i	−1.29182	+	0.745831i	−0.312841	+	0.949805i	$0.601281\pi$
$752$	−1.08285	−	1.87556i	−0.0394876	−	0.0683945i
$753$	−17.9635	−	17.9635i	−0.654625	−	0.654625i
$754$	2.96536	+	2.96099i	0.107992	+	0.107833i
$755$	18.2868	−	19.9960i	0.665526	−	0.727730i
$756$	−4.78435	+	17.8554i	−0.174005	+	0.649396i
$757$	−0.768799	+	2.86920i	−0.0279425	+	0.104283i	−0.978489	−	0.206300i	$-0.933858\pi$
$757$	−0.768799	+	2.86920i	−0.0279425	+	0.104283i	0.950546	+	0.310583i	$0.100524\pi$
$758$	11.5676	−	3.09953i	0.420155	−	0.112580i
$759$	−3.42651	+	3.42651i	−0.124374	+	0.124374i
$760$	0.851389	−	0.269363i	0.0308831	−	0.00977083i
$761$	8.00523	+	29.8759i	0.290189	+	1.08300i	0.944963	+	0.327177i	$0.106097\pi$
$761$	8.00523	+	29.8759i	0.290189	+	1.08300i	−0.654774	+	0.755825i	$0.727236\pi$
$762$	0.433892			0.0157183
$763$	5.47370	+	20.4281i	0.198161	+	0.739548i
$764$	0.957583	+	1.65858i	0.0346441	+	0.0600054i
$765$	5.11323	−	23.1722i	0.184869	−	0.837791i
$766$		−	34.3293i		−	1.24037i
$767$	−0.0337482	−	45.7701i	−0.00121858	−	1.65266i
$768$	0.685164	−	0.685164i	0.0247237	−	0.0247237i
$769$	−5.34027	−	1.43092i	−0.192575	−	0.0516003i	0.161242	−	0.986915i	$-0.448450\pi$
$769$	−5.34027	−	1.43092i	−0.192575	−	0.0516003i	−0.353817	+	0.935315i	$0.615117\pi$
$770$	3.60314	−	16.3287i	0.129848	−	0.588446i
$771$	−13.9866	−	8.07520i	−0.503717	−	0.290821i
$772$		−	19.7246i		−	0.709905i
$773$	−6.45097	+	11.1734i	−0.232025	+	0.401880i	−0.958404	−	0.285415i	$-0.907869\pi$
$773$	−6.45097	+	11.1734i	−0.232025	+	0.401880i	0.726379	+	0.687295i	$0.241202\pi$
$774$	−10.0308	+	2.68773i	−0.360548	+	0.0966086i
$775$	38.5414	+	32.2111i	1.38445	+	1.15706i
$776$	−8.65185	+	14.9854i	−0.310583	+	0.537946i
$777$	−38.0863	−	10.2052i	−1.36634	−	0.366109i
$778$	28.7950	−	16.6248i	1.03235	−	0.596029i
$779$	−0.139441			−0.00499598
$780$	4.20876	+	6.58141i	0.150698	+	0.235652i
$781$	1.79851			0.0643557
$782$	−11.2402	+	6.48955i	−0.401950	+	0.232066i
$783$	−5.50554	−	1.47520i	−0.196752	−	0.0527195i
$784$	−3.60417	+	6.24261i	−0.128720	+	0.222950i
$785$	−5.59141	−	5.11347i	−0.199566	−	0.182508i
$786$	13.8363	−	3.70743i	0.493525	−	0.132240i
$787$	5.57437	−	9.65508i	0.198705	−	0.344167i	−0.749404	−	0.662113i	$-0.769660\pi$
$787$	5.57437	−	9.65508i	0.198705	−	0.344167i	0.948109	+	0.317946i	$0.102993\pi$
$788$		−	10.9550i		−	0.390254i
$789$	−12.7241	−	7.34627i	−0.452990	−	0.261534i
$790$	3.73691	+	5.85305i	0.132953	+	0.208242i
$791$	−20.1544	−	5.40037i	−0.716609	−	0.192015i
$792$	−2.89136	+	2.89136i	−0.102740	+	0.102740i
$793$	5.02644	+	5.01903i	0.178494	+	0.178231i
$794$			6.36491i			0.225882i
$795$	−11.6976	+	7.46837i	−0.414870	+	0.264876i
$796$	−5.90974	−	10.2360i	−0.209465	−	0.362804i
$797$	−7.31743	−	27.3090i	−0.259197	−	0.967336i	−0.965707	−	0.259633i	$-0.916398\pi$
$797$	−7.31743	−	27.3090i	−0.259197	−	0.967336i	0.706511	−	0.707703i	$-0.250268\pi$
$798$	−1.45861			−0.0516343
$799$	−2.88604	−	10.7708i	−0.102101	−	0.381045i
$800$	4.53569	+	2.10417i	0.160361	+	0.0743937i
$801$	23.8057	−	23.8057i	0.841133	−	0.841133i
$802$	12.2984	−	3.29534i	0.434271	−	0.116362i
$803$	−4.30550	+	16.0684i	−0.151938	+	0.567040i
$804$	3.48902	−	13.0212i	0.123048	−	0.459223i
$805$	15.6789	+	14.3387i	0.552610	+	0.505375i
$806$	18.0873	−	31.3816i	0.637100	−	1.10537i
$807$	−11.0488	−	11.0488i	−0.388936	−	0.388936i
$808$	−2.60077	−	4.50466i	−0.0914947	−	0.158473i
$809$	18.5277	−	10.6970i	0.651399	−	0.376086i	−0.137593	−	0.990489i	$-0.543937\pi$
$809$	18.5277	−	10.6970i	0.651399	−	0.376086i	0.788992	+	0.614403i	$0.210603\pi$
$810$	2.84057	+	1.47516i	0.0998075	+	0.0518318i
$811$	−13.3183	−	13.3183i	−0.467667	−	0.467667i	0.433491	−	0.901158i	$-0.357282\pi$
$811$	−13.3183	−	13.3183i	−0.467667	−	0.467667i	−0.901158	+	0.433491i	$0.857282\pi$
$812$	−3.79406	−	2.19050i	−0.133145	−	0.0768715i
$813$	13.1568	+	7.59609i	0.461430	+	0.266407i
$814$	−15.1442	−	15.1442i	−0.530805	−	0.530805i
$815$	34.9916	+	18.1717i	1.22570	+	0.636528i
$816$	4.32063	−	2.49452i	0.151252	−	0.0873255i
$817$	−1.00605	−	1.74253i	−0.0351972	−	0.0609634i
$818$	14.6615	+	14.6615i	0.512629	+	0.512629i
$819$	7.26996	+	27.0520i	0.254033	+	0.945275i
$820$	−0.576153	−	0.526905i	−0.0201201	−	0.0184003i
$821$	−6.97890	+	26.0456i	−0.243565	+	0.908998i	0.730534	+	0.682876i	$0.239271\pi$
$821$	−6.97890	+	26.0456i	−0.243565	+	0.908998i	−0.974099	+	0.226121i	$0.927395\pi$
$822$	−2.54249	+	9.48870i	−0.0886795	+	0.330957i
$823$	4.12123	−	1.10428i	0.143657	−	0.0384928i	−0.186274	−	0.982498i	$-0.559641\pi$
$823$	4.12123	−	1.10428i	0.143657	−	0.0384928i	0.329931	+	0.944005i	$0.392975\pi$
$824$	3.96952	−	3.96952i	0.138285	−	0.138285i
$825$	8.71910	+	4.04492i	0.303560	+	0.140826i
$826$	12.3845	+	46.2195i	0.430911	+	1.60818i
$827$	19.9242			0.692831			0.346415	−	0.938081i	$-0.387399\pi$
$827$	19.9242			0.692831			0.346415	+	0.938081i	$0.387399\pi$
$828$	−1.34472	−	5.01858i	−0.0467324	−	0.174408i
$829$	6.80567	+	11.7878i	0.236371	+	0.409406i	0.959670	−	0.281129i	$-0.0907087\pi$
$829$	6.80567	+	11.7878i	0.236371	+	0.409406i	−0.723300	+	0.690534i	$0.757375\pi$
$830$	9.39311	−	5.99707i	0.326040	−	0.208161i
$831$		−	20.5285i		−	0.712125i
$832$	0.930617	−	3.48338i	0.0322633	−	0.120765i
$833$	−26.2438	+	26.2438i	−0.909294	+	0.909294i
$834$	5.91955	+	1.58614i	0.204977	+	0.0549235i
$835$	6.20834	+	9.72402i	0.214848	+	0.336513i
$836$	−0.686133	−	0.396139i	−0.0237304	−	0.0137008i
$837$			49.2655i			1.70287i
$838$	−6.93846	+	12.0178i	−0.239685	+	0.415147i
$839$	−39.2586	+	10.5193i	−1.35536	+	0.363167i	−0.862109	−	0.506722i	$-0.830857\pi$
$839$	−39.2586	+	10.5193i	−1.35536	+	0.363167i	−0.493248	+	0.869889i	$0.664190\pi$
$840$	−6.02682	−	5.51167i	−0.207945	−	0.190171i
$841$	−13.8246	+	23.9449i	−0.476710	+	0.825685i
$842$	−10.1412	−	2.71733i	−0.349489	−	0.0936454i
$843$	9.99214	−	5.76897i	0.344148	−	0.198694i
$844$	−17.8670			−0.615006
$845$	25.8173	+	13.3591i	0.888143	+	0.459567i
$846$	4.46373			0.153466
$847$	23.0602	−	13.3138i	0.792357	−	0.457468i
$848$	6.18712	+	1.65783i	0.212466	+	0.0569302i
$849$	5.74695	−	9.95401i	0.197235	−	0.341621i
$850$	19.7536	+	16.5091i	0.677543	+	0.566258i
$851$	26.2860	−	7.04332i	0.901074	−	0.241442i
$852$	0.439211	−	0.760736i	0.0150471	−	0.0260624i
$853$			16.8623i			0.577354i	0.957426	+	0.288677i	$0.0932155\pi$
$853$			16.8623i			0.577354i	−0.957426	+	0.288677i	$0.906785\pi$
$854$	−6.43111	−	3.71300i	−0.220068	−	0.127056i
$855$	−0.396595	+	1.79729i	−0.0135633	+	0.0614661i
$856$	8.95175	+	2.39861i	0.305964	+	0.0819829i
$857$	−13.5795	+	13.5795i	−0.463866	+	0.463866i	−0.899920	−	0.436055i	$-0.856375\pi$
$857$	−13.5795	+	13.5795i	−0.463866	+	0.463866i	0.436055	+	0.899920i	$0.356375\pi$
$858$	1.78896	−	6.69622i	0.0610740	−	0.228605i
$859$		−	2.04239i		−	0.0696855i	−0.999393	−	0.0348427i	$-0.988907\pi$
$859$		−	2.04239i		−	0.0696855i	0.999393	−	0.0348427i	$-0.0110930\pi$
$860$	2.42762	−	11.0015i	0.0827813	−	0.375148i
$861$	0.637650	+	1.10444i	0.0217311	+	0.0376393i
$862$	−10.0156	−	37.3789i	−0.341134	−	1.27313i
$863$	8.34696			0.284134			0.142067	−	0.989857i	$-0.454625\pi$
$863$	8.34696			0.284134			0.142067	+	0.989857i	$0.454625\pi$
$864$	1.26926	+	4.73695i	0.0431811	+	0.161154i
$865$	2.42014	−	0.765684i	0.0822871	−	0.0260341i
$866$	12.6934	−	12.6934i	0.431338	−	0.431338i
$867$	8.90110	−	2.38504i	0.302297	−	0.0810003i
$868$	−9.80068	+	36.5766i	−0.332657	+	1.24149i
$869$	1.59461	−	5.95118i	0.0540936	−	0.201880i
$870$	1.69947	−	1.85831i	0.0576173	−	0.0630026i
$871$	−13.0184	−	48.4426i	−0.441113	−	1.64142i
$872$	3.96733	+	3.96733i	0.134351	+	0.134351i
$873$	−17.8323	−	30.8865i	−0.603533	−	1.04535i
$874$	0.871821	−	0.503346i	0.0294898	−	0.0170259i
$875$	16.0125	−	38.9826i	0.541321	−	1.31785i
$876$	5.74518	+	5.74518i	0.194112	+	0.194112i
$877$	18.4158	+	10.6324i	0.621857	+	0.359029i	0.777591	−	0.628770i	$-0.216441\pi$
$877$	18.4158	+	10.6324i	0.621857	+	0.359029i	−0.155735	+	0.987799i	$0.549775\pi$
$878$	−27.0402	−	15.6117i	−0.912562	−	0.526868i
$879$	−18.3348	−	18.3348i	−0.618419	−	0.618419i
$880$	−1.33813	−	4.22949i	−0.0451084	−	0.142576i
$881$	8.65763	−	4.99848i	0.291683	−	0.168403i	−0.347018	−	0.937859i	$-0.612806\pi$
$881$	8.65763	−	4.99848i	0.291683	−	0.168403i	0.638701	+	0.769455i	$0.279472\pi$
$882$	−7.42856	−	12.8666i	−0.250132	−	0.433242i
$883$	−0.0156717	−	0.0156717i	−0.000527393	−	0.000527393i	0.706843	−	0.707370i	$-0.250119\pi$
$883$	−0.0156717	−	0.0156717i	−0.000527393	−	0.000527393i	−0.707370	+	0.706843i	$0.750119\pi$
$884$	9.27029	−	16.0840i	0.311793	−	0.540963i
$885$	−27.4772	+	1.22676i	−0.923636	+	0.0412372i
$886$	5.23281	−	19.5291i	0.175800	−	0.656094i
$887$	−6.43853	+	24.0289i	−0.216185	+	0.806812i	0.769562	+	0.638573i	$0.220475\pi$
$887$	−6.43853	+	24.0289i	−0.216185	+	0.806812i	−0.985746	+	0.168239i	$0.946192\pi$
$888$	−10.1041	+	2.70738i	−0.339071	+	0.0908538i
$889$	−1.19352	+	1.19352i	−0.0400293	+	0.0400293i
$890$	11.0173	+	34.8230i	0.369302	+	1.16727i
$891$	−0.734996	−	2.74304i	−0.0246233	−	0.0918953i
$892$	8.85450			0.296471
$893$	0.223849	+	0.835414i	0.00749081	+	0.0279561i
$894$	−2.71703	−	4.70604i	−0.0908711	−	0.157393i
$895$	−6.54429	−	10.2502i	−0.218751	−	0.342627i
$896$			3.76940i			0.125927i
$897$	6.23196	+	6.22277i	0.208079	+	0.207772i
$898$	−15.1032	+	15.1032i	−0.504002	+	0.504002i
$899$	−11.2780	−	3.02194i	−0.376144	−	0.100787i
$900$	−8.43012	+	5.92759i	−0.281004	+	0.197586i
$901$	28.5615	+	16.4900i	0.951523	+	0.549362i
$902$			0.692707i			0.0230646i
$903$	−9.20116	+	15.9369i	−0.306196	+	0.530346i
$904$	−5.34686	+	1.43269i	−0.177834	+	0.0476505i
$905$	−1.67401	−	37.4948i	−0.0556461	−	1.24637i
$906$	−5.87106	+	10.1690i	−0.195053	+	0.337842i
$907$	−24.4574	−	6.55335i	−0.812096	−	0.217600i	−0.171208	−	0.985235i	$-0.554767\pi$
$907$	−24.4574	−	6.55335i	−0.812096	−	0.217600i	−0.640888	+	0.767635i	$0.721434\pi$
$908$	−18.8658	+	10.8922i	−0.626085	+	0.361470i
$909$	10.7209			0.355589
$910$	−29.6808	−	6.52649i	−0.983907	−	0.216351i
$911$	9.21903			0.305440			0.152720	−	0.988269i	$-0.451197\pi$
$911$	9.21903			0.305440			0.152720	+	0.988269i	$0.451197\pi$
$912$	−0.335119	+	0.193481i	−0.0110969	+	0.00640680i
$913$	−9.55059	−	2.55907i	−0.316079	−	0.0846930i
$914$	−5.90744	+	10.2320i	−0.195401	+	0.338444i
$915$	2.88068	−	3.14993i	0.0952324	−	0.104133i
$916$	−10.8322	+	2.90249i	−0.357907	+	0.0959010i
$917$	−27.8618	+	48.2580i	−0.920077	+	1.59362i
$918$			25.2500i			0.833374i
$919$	−12.7906	−	7.38468i	−0.421924	−	0.243598i	0.273976	−	0.961737i	$-0.411661\pi$
$919$	−12.7906	−	7.38468i	−0.421924	−	0.243598i	−0.695900	+	0.718138i	$0.744994\pi$
$920$	5.50426	+	1.21459i	0.181470	+	0.0400437i
$921$	−0.266720	−	0.0714674i	−0.00878872	−	0.00235493i
$922$	5.07750	−	5.07750i	0.167218	−	0.167218i
$923$	−0.00241009	−	3.26863i	−7.93292e−5	−	0.107588i
$924$			7.24604i			0.238377i
$925$	−31.0472	−	44.1549i	−1.02083	−	1.45180i
$926$	14.8820	+	25.7764i	0.489053	+	0.847064i
$927$	2.99467	+	11.1762i	0.0983577	+	0.367076i
$928$	−1.16225			−0.0381529
$929$	−0.864359	−	3.22583i	−0.0283587	−	0.105836i	0.950296	−	0.311348i	$-0.100781\pi$
$929$	−0.864359	−	3.22583i	−0.0283587	−	0.105836i	−0.978655	+	0.205512i	$0.934114\pi$
$930$	−19.3168	−	10.0315i	−0.633421	−	0.328947i
$931$	2.03554	−	2.03554i	0.0667120	−	0.0667120i
$932$	2.58981	−	0.693937i	0.0848320	−	0.0227307i
$933$	−0.257080	+	0.959434i	−0.00841641	+	0.0314105i
$934$	6.21340	−	23.1887i	0.203309	−	0.758758i
$935$	−1.01875	−	22.8180i	−0.0333166	−	0.746229i
$936$	5.25867	+	5.25092i	0.171885	+	0.171632i
$937$	−27.1529	−	27.1529i	−0.887045	−	0.887045i	0.107193	−	0.994238i	$-0.465814\pi$
$937$	−27.1529	−	27.1529i	−0.887045	−	0.887045i	−0.994238	+	0.107193i	$0.965814\pi$
$938$	26.2204	+	45.4151i	0.856127	+	1.48286i
$939$	4.61165	−	2.66253i	0.150495	−	0.0868885i
$940$	−2.23187	+	4.29769i	−0.0727955	+	0.140175i
$941$	1.14387	+	1.14387i	0.0372890	+	0.0372890i	0.725505	−	0.688216i	$-0.241606\pi$
$941$	1.14387	+	1.14387i	0.0372890	+	0.0372890i	−0.688216	+	0.725505i	$0.741606\pi$
$942$	2.84351	+	1.64170i	0.0926465	+	0.0534895i
$943$	−0.762254	−	0.440087i	−0.0248224	−	0.0143312i
$944$	8.97625	+	8.97625i	0.292152	+	0.292152i
$945$	39.4091	−	12.4683i	1.28198	−	0.405593i
$946$	−8.65647	+	4.99781i	−0.281446	+	0.162493i
$947$	23.0002	+	39.8374i	0.747405	+	1.29454i	0.949063	+	0.315087i	$0.102034\pi$
$947$	23.0002	+	39.8374i	0.747405	+	1.29454i	−0.201658	+	0.979456i	$0.564633\pi$
$948$	−2.12782	−	2.12782i	−0.0691085	−	0.0691085i
$949$	29.2085	+	7.80333i	0.948149	+	0.253307i
$950$	−1.53214	−	1.28049i	−0.0497091	−	0.0415445i
$951$	−0.616151	+	2.29951i	−0.0199801	+	0.0745666i
$952$	−5.02313	+	18.7466i	−0.162801	+	0.607580i
$953$	50.7459	−	13.5973i	1.64382	−	0.440460i	0.685947	−	0.727651i	$-0.259388\pi$
$953$	50.7459	−	13.5973i	1.64382	−	0.440460i	0.957873	+	0.287191i	$0.0927215\pi$
$954$	−9.33530	+	9.33530i	−0.302242	+	0.302242i
$955$	1.97367	−	3.80052i	0.0638666	−	0.122982i
$956$	−0.891913	−	3.32867i	−0.0288465	−	0.107657i
$957$	−2.23424			−0.0722228
$958$	−8.07862	−	30.1498i	−0.261008	−	0.974096i
$959$	−19.1071	−	33.0945i	−0.617001	−	1.06868i
$960$	−2.11578	−	0.466874i	−0.0682866	−	0.0150683i
$961$			69.9199i			2.25548i
$962$	−27.5030	+	27.5436i	−0.886732	+	0.888040i
$963$	−13.5067	+	13.5067i	−0.435246	+	0.435246i
$964$	−28.5641	−	7.65372i	−0.919987	−	0.246510i
$965$	−37.1750	+	23.7345i	−1.19671	+	0.764041i
$966$	−7.97352	−	4.60351i	−0.256544	−	0.148116i
$967$			27.9143i			0.897662i	0.893617	+	0.448831i	$0.148160\pi$
$967$			27.9143i			0.897662i	−0.893617	+	0.448831i	$0.851840\pi$
$968$	3.53208	−	6.11774i	0.113525	−	0.196632i
$969$	−1.92450	+	0.515669i	−0.0618240	+	0.0165657i
$970$	38.6537	−	1.72576i	1.24110	−	0.0554107i
$971$	22.1987	−	38.4493i	0.712390	−	1.23390i	−0.251568	−	0.967840i	$-0.580946\pi$
$971$	22.1987	−	38.4493i	0.712390	−	1.23390i	0.963958	−	0.266056i	$-0.0857205\pi$
$972$	−15.5506	−	4.16677i	−0.498785	−	0.133649i
$973$	−20.6461	+	11.9200i	−0.661883	+	0.382138i
$974$	−24.7179			−0.792014
$975$	7.33959	−	15.8516i	0.235055	−	0.507657i
$976$	−1.97008			−0.0630607
$977$	−1.14585	+	0.661557i	−0.0366590	+	0.0211651i	−0.518217	−	0.855249i	$-0.673404\pi$
$977$	−1.14585	+	0.661557i	−0.0366590	+	0.0211651i	0.481559	+	0.876414i	$0.340071\pi$
$978$	−16.5037	−	4.42215i	−0.527729	−	0.141405i
$979$	16.2026	−	28.0638i	0.517839	−	0.896923i
$980$	16.1023	−	0.718913i	0.514369	−	0.0229648i
$981$	−11.1701	+	2.99301i	−0.356633	+	0.0955594i
$982$	2.03780	−	3.52957i	0.0650287	−	0.112633i
$983$		−	55.4069i		−	1.76721i	−0.468237	−	0.883603i	$-0.655111\pi$
$983$		−	55.4069i		−	1.76721i	0.468237	−	0.883603i	$-0.344889\pi$
$984$	0.293003	+	0.169165i	0.00934058	+	0.00539279i
$985$	−20.6468	+	13.1820i	−0.657862	+	0.420014i
$986$	−5.78032	−	1.54883i	−0.184083	−	0.0493248i
$987$	5.59327	−	5.59327i	0.178036	−	0.178036i
$988$	−0.719027	+	1.24751i	−0.0228753	+	0.0396887i
$989$		−	12.7007i		−	0.403860i
$990$	8.92851	+	1.97019i	0.283767	+	0.0626167i
$991$	10.3910	+	17.9977i	0.330081	+	0.571716i	0.982527	−	0.186118i	$-0.0595907\pi$
$991$	10.3910	+	17.9977i	0.330081	+	0.571716i	−0.652447	+	0.757835i	$0.726257\pi$
$992$	2.60007	+	9.70358i	0.0825522	+	0.308089i
$993$	−6.51515			−0.206752
$994$	0.884426	+	3.30072i	0.0280523	+	0.104693i
$995$	−12.1806	+	23.4549i	−0.386149	+	0.743571i
$996$	−3.41478	+	3.41478i	−0.108201	+	0.108201i
$997$	−19.6648	+	5.26916i	−0.622790	+	0.166876i	−0.556396	−	0.830917i	$-0.687816\pi$
$997$	−19.6648	+	5.26916i	−0.622790	+	0.166876i	−0.0663940	+	0.997793i	$0.521149\pi$
$998$	5.32692	−	19.8803i	0.168621	−	0.629301i
$999$	13.7023	−	51.1378i	0.433522	−	1.61793i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.b.37.2	✓	16
5.2	odd	4		650.2.w.g.193.2		16
5.3	odd	4		130.2.s.b.63.3	yes	16
5.4	even	2		650.2.t.g.557.3		16
13.6	odd	12		130.2.s.b.97.3	yes	16
65.19	odd	12		650.2.w.g.357.2		16
65.32	even	12		650.2.t.g.643.3		16
65.58	even	12	inner	130.2.p.b.123.2	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.b.37.2	✓	16	1.1	even	1	trivial
130.2.p.b.123.2	yes	16	65.58	even	12	inner
130.2.s.b.63.3	yes	16	5.3	odd	4
130.2.s.b.97.3	yes	16	13.6	odd	12
650.2.t.g.557.3		16	5.4	even	2
650.2.t.g.643.3		16	65.32	even	12
650.2.w.g.193.2		16	5.2	odd	4
650.2.w.g.357.2		16	65.19	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	130.p (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.935952 - 0.250788i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.23384 + 0.0997335i) q^{5} +(0.935952 - 0.250788i) q^{6} +(-1.88470 + 3.26439i) q^{7} +1.00000i q^{8} +(-1.78496 - 1.03055i) q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.935952 - 0.250788i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.23384 + 0.0997335i) q^{5} +(0.935952 - 0.250788i) q^{6} +(-1.88470 + 3.26439i) q^{7} +1.00000i q^{8} +(-1.78496 - 1.03055i) q^{9} +(1.88470 - 1.20329i) q^{10} +(-1.91630 - 0.513470i) q^{11} +(-0.685164 + 0.685164i) q^{12} +(-0.930617 + 3.48338i) q^{13} -3.76940i q^{14} +(2.11578 + 0.466874i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.33261 - 4.97337i) q^{17} +2.06110 q^{18} +(0.103361 + 0.385747i) q^{19} +(-1.03055 + 1.98443i) q^{20} +(2.58266 - 2.58266i) q^{21} +(1.91630 - 0.513470i) q^{22} +(-0.652430 + 2.43490i) q^{23} +(0.250788 - 0.935952i) q^{24} +(4.98011 - 0.445578i) q^{25} +(-0.935753 - 3.48201i) q^{26} +(3.46769 + 3.46769i) q^{27} +(1.88470 + 3.26439i) q^{28} +(-1.00654 + 0.581127i) q^{29} +(-2.06576 + 0.653566i) q^{30} +(7.10352 + 7.10352i) q^{31} +(0.866025 + 0.500000i) q^{32} +(1.66479 + 0.961167i) q^{33} +(3.64076 + 3.64076i) q^{34} +(3.88455 - 7.48011i) q^{35} +(-1.78496 + 1.03055i) q^{36} +(-5.39776 - 9.34919i) q^{37} +(-0.282386 - 0.282386i) q^{38} +(1.74460 - 3.02689i) q^{39} +(-0.0997335 - 2.23384i) q^{40} +(-0.0903706 + 0.337268i) q^{41} +(-0.945318 + 3.52797i) q^{42} +(-4.86670 + 1.30403i) q^{43} +(-1.40283 + 1.40283i) q^{44} +(4.09011 + 2.12407i) q^{45} +(-0.652430 - 2.43490i) q^{46} +2.16571 q^{47} +(0.250788 + 0.935952i) q^{48} +(-3.60417 - 6.24261i) q^{49} +(-4.09011 + 2.87593i) q^{50} +4.98903i q^{51} +(2.55139 + 2.54763i) q^{52} +(-4.52928 + 4.52928i) q^{53} +(-4.73695 - 1.26926i) q^{54} +(4.33192 + 0.955893i) q^{55} +(-3.26439 - 1.88470i) q^{56} -0.386962i q^{57} +(0.581127 - 1.00654i) q^{58} +(-12.2618 + 3.28554i) q^{59} +(1.46222 - 1.59888i) q^{60} +(0.985039 - 1.70614i) q^{61} +(-9.70358 - 2.60007i) q^{62} +(6.72824 - 3.88455i) q^{63} -1.00000 q^{64} +(1.73144 - 7.87414i) q^{65} -1.92233 q^{66} +(-12.0484 + 6.95614i) q^{67} +(-4.97337 - 1.33261i) q^{68} +(1.22129 - 2.11533i) q^{69} +(0.375935 + 8.42024i) q^{70} +(-0.875664 + 0.234633i) q^{71} +(1.03055 - 1.78496i) q^{72} -8.38511i q^{73} +(9.34919 + 5.39776i) q^{74} +(-4.77289 - 0.831910i) q^{75} +(0.385747 + 0.103361i) q^{76} +(5.28781 - 5.28781i) q^{77} +(0.00257603 + 3.49367i) q^{78} +3.10557i q^{79} +(1.20329 + 1.88470i) q^{80} +(0.715714 + 1.23965i) q^{81} +(-0.0903706 - 0.337268i) q^{82} +4.98388 q^{83} +(-0.945318 - 3.52797i) q^{84} +(3.47285 + 10.9768i) q^{85} +(3.56267 - 3.56267i) q^{86} +(1.08781 - 0.291479i) q^{87} +(0.513470 - 1.91630i) q^{88} +(-4.22759 + 15.7776i) q^{89} +(-4.60417 + 0.205561i) q^{90} +(-9.61719 - 9.60302i) q^{91} +(1.78247 + 1.78247i) q^{92} +(-4.86708 - 8.43002i) q^{93} +(-1.87556 + 1.08285i) q^{94} +(-0.269363 - 0.851389i) q^{95} +(-0.685164 - 0.685164i) q^{96} +(14.9854 + 8.65185i) q^{97} +(6.24261 + 3.60417i) q^{98} +(2.89136 + 2.89136i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) \) 16 * q + 8 * q^4 - 2 * q^5	\( 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) \) 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

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