LMFDB - Embedded newform 637.2.w.b.92.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (of order $7$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.2
Character	$\chi$	$=$	637.92
Dual form			637.2.w.b.547.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.57084 + 1.96978i) q^{2} +(2.34650 + 1.13001i) q^{3} +(-0.967425 - 4.23856i) q^{4} +(3.79256 + 1.82640i) q^{5} +(-5.91185 + 2.84700i) q^{6} +(0.107940 - 2.64355i) q^{7} +(5.32882 + 2.56623i) q^{8} +(2.35865 + 2.95765i) q^{9} +O(q^{10})$	\(q+(-1.57084 + 1.96978i) q^{2} +(2.34650 + 1.13001i) q^{3} +(-0.967425 - 4.23856i) q^{4} +(3.79256 + 1.82640i) q^{5} +(-5.91185 + 2.84700i) q^{6} +(0.107940 - 2.64355i) q^{7} +(5.32882 + 2.56623i) q^{8} +(2.35865 + 2.95765i) q^{9} +(-9.55512 + 4.60150i) q^{10} +(1.87400 - 2.34992i) q^{11} +(2.51958 - 11.0390i) q^{12} +(0.623490 - 0.781831i) q^{13} +(5.03764 + 4.36522i) q^{14} +(6.83537 + 8.57129i) q^{15} +(-5.59160 + 2.69277i) q^{16} +(-0.290990 + 1.27491i) q^{17} -9.53098 q^{18} -6.95465 q^{19} +(4.07230 - 17.8419i) q^{20} +(3.24053 - 6.08110i) q^{21} +(1.68505 + 7.38270i) q^{22} +(0.0448741 + 0.196606i) q^{23} +(9.60420 + 12.0433i) q^{24} +(7.93033 + 9.94431i) q^{25} +(0.560628 + 2.45627i) q^{26} +(0.453765 + 1.98808i) q^{27} +(-11.3093 + 2.09992i) q^{28} +(0.542464 - 2.37669i) q^{29} -27.6208 q^{30} -0.570396 q^{31} +(0.847148 - 3.71160i) q^{32} +(7.05276 - 3.39643i) q^{33} +(-2.05419 - 2.57587i) q^{34} +(5.23755 - 9.82868i) q^{35} +(10.2544 - 12.8586i) q^{36} +(-2.37752 + 10.4166i) q^{37} +(10.9247 - 13.6991i) q^{38} +(2.34650 - 1.13001i) q^{39} +(15.5229 + 19.4651i) q^{40} +(4.77248 + 2.29830i) q^{41} +(6.88805 + 15.9356i) q^{42} +(8.15214 - 3.92586i) q^{43} +(-11.7732 - 5.66968i) q^{44} +(3.54346 + 15.5249i) q^{45} +(-0.457761 - 0.220446i) q^{46} +(-3.64206 + 4.56701i) q^{47} -16.1635 q^{48} +(-6.97670 - 0.570691i) q^{49} -32.0454 q^{50} +(-2.12347 + 2.66275i) q^{51} +(-3.91702 - 1.88634i) q^{52} +(0.570583 + 2.49989i) q^{53} +(-4.62886 - 2.22914i) q^{54} +(11.3991 - 5.48953i) q^{55} +(7.35914 - 13.8100i) q^{56} +(-16.3191 - 7.85885i) q^{57} +(3.82942 + 4.80194i) q^{58} +(-10.1754 + 4.90022i) q^{59} +(29.7172 - 37.2643i) q^{60} +(1.72573 - 7.56090i) q^{61} +(0.896004 - 1.12355i) q^{62} +(8.07329 - 5.91595i) q^{63} +(-1.75873 - 2.20538i) q^{64} +(3.79256 - 1.82640i) q^{65} +(-4.38858 + 19.2276i) q^{66} -5.63879 q^{67} +5.68531 q^{68} +(-0.116871 + 0.512045i) q^{69} +(11.1329 + 25.7561i) q^{70} +(-2.86376 - 12.5470i) q^{71} +(4.97882 + 21.8136i) q^{72} +(-5.25894 - 6.59450i) q^{73} +(-16.7837 - 21.0461i) q^{74} +(7.37128 + 32.2957i) q^{75} +(6.72810 + 29.4777i) q^{76} +(-6.00984 - 5.20765i) q^{77} +(-1.46011 + 6.39715i) q^{78} -16.3012 q^{79} -26.1245 q^{80} +(1.34358 - 5.88662i) q^{81} +(-12.0240 + 5.79043i) q^{82} +(-2.67054 - 3.34875i) q^{83} +(-28.9101 - 7.85217i) q^{84} +(-3.43210 + 4.30371i) q^{85} +(-5.07267 + 22.2248i) q^{86} +(3.95858 - 4.96391i) q^{87} +(16.0166 - 7.71319i) q^{88} +(0.566938 + 0.710918i) q^{89} +(-36.1468 - 17.4074i) q^{90} +(-1.99951 - 1.73262i) q^{91} +(0.789917 - 0.380404i) q^{92} +(-1.33843 - 0.644556i) q^{93} +(-3.27486 - 14.3481i) q^{94} +(-26.3759 - 12.7020i) q^{95} +(6.18198 - 7.75196i) q^{96} +3.36724 q^{97} +(12.0834 - 12.8461i) q^{98} +11.3703 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) $ 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−1.57084	+	1.96978i	−1.11075	+	1.39284i	−0.200049	+	0.979786i	$0.564110\pi$
$2$	−1.57084	+	1.96978i	−1.11075	+	1.39284i	−0.910706	+	0.413056i	$0.864461\pi$
$3$	2.34650	+	1.13001i	1.35475	+	0.652414i	0.963460	−	0.267853i	$-0.0863143\pi$
$3$	2.34650	+	1.13001i	1.35475	+	0.652414i	0.391291	+	0.920267i	$0.372029\pi$
$4$	−0.967425	−	4.23856i	−0.483712	−	2.11928i
$5$	3.79256	+	1.82640i	1.69608	+	0.816791i	0.994562	+	0.104144i	$0.0332102\pi$
$5$	3.79256	+	1.82640i	1.69608	+	0.816791i	0.701522	+	0.712647i	$0.252504\pi$
$6$	−5.91185	+	2.84700i	−2.41350	+	1.16228i
$7$	0.107940	−	2.64355i	0.0407976	−	0.999167i
$7$	0.107940	−	2.64355i	0.0407976	−	0.999167i
$8$	5.32882	+	2.56623i	1.88402	+	0.907298i
$9$	2.35865	+	2.95765i	0.786216	+	0.985884i
$10$	−9.55512	+	4.60150i	−3.02159	+	1.45512i
$11$	1.87400	−	2.34992i	0.565031	−	0.708526i	−0.414448	−	0.910073i	$-0.636025\pi$
$11$	1.87400	−	2.34992i	0.565031	−	0.708526i	0.979479	+	0.201547i	$0.0645967\pi$
$12$	2.51958	−	11.0390i	0.727339	−	3.18668i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$14$	5.03764	+	4.36522i	1.34637	+	1.16665i
$15$	6.83537	+	8.57129i	1.76489	+	2.21310i
$16$	−5.59160	+	2.69277i	−1.39790	+	0.673193i
$17$	−0.290990	+	1.27491i	−0.0705755	+	0.309211i	−0.997879	−	0.0650994i	$-0.979264\pi$
$17$	−0.290990	+	1.27491i	−0.0705755	+	0.309211i	0.927303	+	0.374311i	$0.122121\pi$
$18$	−9.53098			−2.24647
$19$	−6.95465			−1.59551			−0.797753	−	0.602985i	$-0.793978\pi$
$19$	−6.95465			−1.59551			−0.797753	+	0.602985i	$0.793978\pi$
$20$	4.07230	−	17.8419i	0.910594	−	3.98957i
$21$	3.24053	−	6.08110i	0.707141	−	1.32701i
$22$	1.68505	+	7.38270i	0.359255	+	1.57400i
$23$	0.0448741	+	0.196606i	0.00935691	+	0.0409953i	0.979391	−	0.201974i	$-0.0647357\pi$
$23$	0.0448741	+	0.196606i	0.00935691	+	0.0409953i	−0.970034	+	0.242969i	$0.921879\pi$
$24$	9.60420	+	12.0433i	1.96045	+	2.45833i
$25$	7.93033	+	9.94431i	1.58607	+	1.98886i
$26$	0.560628	+	2.45627i	0.109948	+	0.481714i
$27$	0.453765	+	1.98808i	0.0873272	+	0.382605i
$28$	−11.3093	+	2.09992i	−2.13725	+	0.396848i
$29$	0.542464	−	2.37669i	0.100733	−	0.441341i	−0.899259	−	0.437416i	$-0.855894\pi$
$29$	0.542464	−	2.37669i	0.100733	−	0.441341i	0.999992	−	0.00392442i	$-0.00124919\pi$
$30$	−27.6208			−5.04285
$31$	−0.570396			−0.102446			−0.0512231	−	0.998687i	$-0.516312\pi$
$31$	−0.570396			−0.102446			−0.0512231	+	0.998687i	$0.516312\pi$
$32$	0.847148	−	3.71160i	0.149756	−	0.656124i
$33$	7.05276	−	3.39643i	1.22773	−	0.591243i
$34$	−2.05419	−	2.57587i	−0.352291	−	0.441758i
$35$	5.23755	−	9.82868i	0.885307	−	1.66135i
$36$	10.2544	−	12.8586i	1.70906	−	2.14310i
$37$	−2.37752	+	10.4166i	−0.390863	+	1.71248i	0.270763	+	0.962646i	$0.412724\pi$
$37$	−2.37752	+	10.4166i	−0.390863	+	1.71248i	−0.661625	+	0.749835i	$0.730133\pi$
$38$	10.9247	−	13.6991i	1.77221	−	2.22229i
$39$	2.34650	−	1.13001i	0.375740	−	0.180947i
$40$	15.5229	+	19.4651i	2.45439	+	3.07771i
$41$	4.77248	+	2.29830i	0.745335	+	0.358935i	0.767695	−	0.640815i	$-0.221404\pi$
$41$	4.77248	+	2.29830i	0.745335	+	0.358935i	−0.0223596	+	0.999750i	$0.507118\pi$
$42$	6.88805	+	15.9356i	1.06285	+	2.45891i
$43$	8.15214	−	3.92586i	1.24319	−	0.598689i	0.307512	−	0.951544i	$-0.400504\pi$
$43$	8.15214	−	3.92586i	1.24319	−	0.598689i	0.935678	+	0.352855i	$0.114789\pi$
$44$	−11.7732	−	5.66968i	−1.77488	−	0.854737i
$45$	3.54346	+	15.5249i	0.528228	+	2.31432i
$46$	−0.457761	−	0.220446i	−0.0674932	−	0.0325030i
$47$	−3.64206	+	4.56701i	−0.531250	+	0.666166i	−0.972955	−	0.230994i	$-0.925802\pi$
$47$	−3.64206	+	4.56701i	−0.531250	+	0.666166i	0.441705	+	0.897160i	$0.354374\pi$
$48$	−16.1635			−2.33300
$49$	−6.97670	−	0.570691i	−0.996671	−	0.0815273i
$50$	−32.0454			−4.53190
$51$	−2.12347	+	2.66275i	−0.297346	+	0.372860i
$52$	−3.91702	−	1.88634i	−0.543193	−	0.261588i
$53$	0.570583	+	2.49989i	0.0783756	+	0.343386i	0.998878	−	0.0473500i	$-0.0150776\pi$
$53$	0.570583	+	2.49989i	0.0783756	+	0.343386i	−0.920503	+	0.390736i	$0.872220\pi$
$54$	−4.62886	−	2.22914i	−0.629908	−	0.303348i
$55$	11.3991	−	5.48953i	1.53706	−	0.740208i
$56$	7.35914	−	13.8100i	0.983406	−	1.84544i
$57$	−16.3191	−	7.85885i	−2.16151	−	1.04093i
$58$	3.82942	+	4.80194i	0.502828	+	0.630526i
$59$	−10.1754	+	4.90022i	−1.32473	+	0.637955i	−0.956487	−	0.291776i	$-0.905754\pi$
$59$	−10.1754	+	4.90022i	−1.32473	+	0.637955i	−0.368240	+	0.929731i	$0.620040\pi$
$60$	29.7172	−	37.2643i	3.83648	−	4.81079i
$61$	1.72573	−	7.56090i	0.220957	−	0.968074i	−0.735803	−	0.677195i	$-0.763195\pi$
$61$	1.72573	−	7.56090i	0.220957	−	0.968074i	0.956760	−	0.290879i	$-0.0939476\pi$
$62$	0.896004	−	1.12355i	0.113793	−	0.142691i
$63$	8.07329	−	5.91595i	1.01714	−	0.745340i
$64$	−1.75873	−	2.20538i	−0.219842	−	0.275673i
$65$	3.79256	−	1.82640i	0.470409	−	0.226537i
$66$	−4.38858	+	19.2276i	−0.540197	+	2.36676i
$67$	−5.63879			−0.688888			−0.344444	−	0.938807i	$-0.611933\pi$
$67$	−5.63879			−0.688888			−0.344444	+	0.938807i	$0.611933\pi$
$68$	5.68531			0.689445
$69$	−0.116871	+	0.512045i	−0.0140696	+	0.0616430i
$70$	11.1329	+	25.7561i	1.33064	+	3.07844i
$71$	−2.86376	−	12.5470i	−0.339866	−	1.48905i	−0.799350	−	0.600866i	$-0.794823\pi$
$71$	−2.86376	−	12.5470i	−0.339866	−	1.48905i	0.459484	−	0.888186i	$-0.348034\pi$
$72$	4.97882	+	21.8136i	0.586760	+	2.57076i
$73$	−5.25894	−	6.59450i	−0.615512	−	0.771827i	0.372193	−	0.928155i	$-0.378606\pi$
$73$	−5.25894	−	6.59450i	−0.615512	−	0.771827i	−0.987705	+	0.156328i	$0.950034\pi$
$74$	−16.7837	−	21.0461i	−1.95106	−	2.44656i
$75$	7.37128	+	32.2957i	0.851162	+	3.72918i
$76$	6.72810	+	29.4777i	0.771766	+	3.38133i
$77$	−6.00984	−	5.20765i	−0.684885	−	0.593467i
$78$	−1.46011	+	6.39715i	−0.165325	+	0.724334i
$79$	−16.3012			−1.83403			−0.917017	−	0.398848i	$-0.869410\pi$
$79$	−16.3012			−1.83403			−0.917017	+	0.398848i	$0.869410\pi$
$80$	−26.1245			−2.92081
$81$	1.34358	−	5.88662i	0.149287	−	0.654069i
$82$	−12.0240	+	5.79043i	−1.32782	+	0.639446i
$83$	−2.67054	−	3.34875i	−0.293129	−	0.367573i	0.613358	−	0.789805i	$-0.289818\pi$
$83$	−2.67054	−	3.34875i	−0.293129	−	0.367573i	−0.906488	+	0.422232i	$0.861247\pi$
$84$	−28.9101	−	7.85217i	−3.15435	−	0.856742i
$85$	−3.43210	+	4.30371i	−0.372263	+	0.466803i
$86$	−5.07267	+	22.2248i	−0.547000	+	2.39656i
$87$	3.95858	−	4.96391i	0.424405	−	0.532187i
$88$	16.0166	−	7.71319i	1.70738	−	0.822229i
$89$	0.566938	+	0.710918i	0.0600954	+	0.0753572i	0.810971	−	0.585087i	$-0.198940\pi$
$89$	0.566938	+	0.710918i	0.0600954	+	0.0753572i	−0.750875	+	0.660444i	$0.770368\pi$
$90$	−36.1468	−	17.4074i	−3.81021	−	1.83490i
$91$	−1.99951	−	1.73262i	−0.209606	−	0.181628i
$92$	0.789917	−	0.380404i	0.0823545	−	0.0396598i
$93$	−1.33843	−	0.644556i	−0.138789	−	0.0668373i
$94$	−3.27486	−	14.3481i	−0.337776	−	1.47989i
$95$	−26.3759	−	12.7020i	−2.70611	−	1.30320i
$96$	6.18198	−	7.75196i	0.630946	−	0.791181i
$97$	3.36724			0.341891			0.170946	−	0.985280i	$-0.445318\pi$
$97$	3.36724			0.341891			0.170946	+	0.985280i	$0.445318\pi$
$98$	12.0834	−	12.8461i	1.22061	−	1.29765i
$99$	11.3703			1.14276
$100$	34.4776	−	43.2336i	3.44776	−	4.32336i
$101$	−5.24109	−	2.52397i	−0.521508	−	0.251145i	0.154561	−	0.987983i	$-0.450604\pi$
$101$	−5.24109	−	2.52397i	−0.521508	−	0.251145i	−0.676069	+	0.736838i	$0.736318\pi$
$102$	−1.90938	−	8.36554i	−0.189057	−	0.828312i
$103$	−1.88686	−	0.908666i	−0.185918	−	0.0895335i	0.338609	−	0.940927i	$-0.390044\pi$
$103$	−1.88686	−	0.908666i	−0.185918	−	0.0895335i	−0.524527	+	0.851394i	$0.675758\pi$
$104$	5.32882	−	2.56623i	0.522534	−	0.251639i
$105$	23.3964	−	17.1445i	2.28326	−	1.67313i
$106$	−5.82052	−	2.80301i	−0.565339	−	0.272253i
$107$	2.93782	+	3.68391i	0.284010	+	0.356137i	0.903288	−	0.429035i	$-0.141146\pi$
$107$	2.93782	+	3.68391i	0.284010	+	0.356137i	−0.619278	+	0.785171i	$0.712575\pi$
$108$	7.98760	−	3.84663i	0.768607	−	0.370142i
$109$	−4.22073	+	5.29263i	−0.404273	+	0.506942i	−0.941740	−	0.336343i	$-0.890810\pi$
$109$	−4.22073	+	5.29263i	−0.404273	+	0.506942i	0.537467	+	0.843285i	$0.319381\pi$
$110$	−7.09311	+	31.0769i	−0.676301	+	2.96307i
$111$	−17.3498	+	21.7559i	−1.64677	+	2.06498i
$112$	6.51491	+	15.0723i	0.615601	+	1.42420i
$113$	3.86411	+	4.84544i	0.363505	+	0.455821i	0.929628	−	0.368500i	$-0.120129\pi$
$113$	3.86411	+	4.84544i	0.363505	+	0.455821i	−0.566123	+	0.824321i	$0.691557\pi$
$114$	41.1149	−	19.7999i	3.85076	−	1.85443i
$115$	−0.188894	+	0.827600i	−0.0176145	+	0.0771741i
$116$	−10.5986			−0.984051
$117$	3.78298			0.349737
$118$	6.33165	−	27.7408i	0.582876	−	2.55375i
$119$	3.33888	+	0.906861i	0.306075	+	0.0831318i
$120$	14.4286	+	63.2160i	1.31715	+	5.77081i
$121$	0.437483	+	1.91674i	0.0397712	+	0.174249i
$122$	12.1824	+	15.2763i	1.10295	+	1.38305i
$123$	8.60149	+	10.7859i	0.775570	+	0.972534i
$124$	0.551816	+	2.41766i	0.0495545	+	0.217112i
$125$	7.23051	+	31.6789i	0.646717	+	2.83345i
$126$	−1.02878	+	25.1956i	−0.0916508	+	2.24460i
$127$	3.95471	−	17.3267i	0.350924	−	1.53750i	−0.424130	−	0.905602i	$-0.639420\pi$
$127$	3.95471	−	17.3267i	0.350924	−	1.53750i	0.775053	−	0.631896i	$-0.217723\pi$
$128$	14.7209			1.30116
$129$	23.5653			2.07481
$130$	−2.35992	+	10.3395i	−0.206979	+	0.906833i
$131$	0.738371	−	0.355581i	0.0645118	−	0.0310672i	−0.401350	−	0.915925i	$-0.631459\pi$
$131$	0.738371	−	0.355581i	0.0645118	−	0.0310672i	0.465861	+	0.884858i	$0.345745\pi$
$132$	−21.2190	−	26.6078i	−1.84688	−	2.31591i
$133$	−0.750687	+	18.3849i	−0.0650928	+	1.59418i
$134$	8.85766	−	11.1072i	0.765185	−	0.959512i
$135$	−1.91009	+	8.36865i	−0.164394	+	0.720259i
$136$	−4.82235	+	6.04703i	−0.413513	+	0.518529i
$137$	6.93036	−	3.33749i	0.592101	−	0.285141i	−0.113741	−	0.993510i	$-0.536283\pi$
$137$	6.93036	−	3.33749i	0.592101	−	0.285141i	0.705841	+	0.708370i	$0.250569\pi$
$138$	−0.825028	−	1.03455i	−0.0702310	−	0.0880669i
$139$	6.20597	+	2.98864i	0.526383	+	0.253493i	0.678150	−	0.734923i	$-0.262782\pi$
$139$	6.20597	+	2.98864i	0.526383	+	0.253493i	−0.151767	+	0.988416i	$0.548496\pi$
$140$	−46.7264	−	12.6912i	−3.94910	−	1.07260i
$141$	−13.7069	+	6.60088i	−1.15433	+	0.555895i
$142$	29.2133	+	14.0684i	2.45152	+	1.18059i
$143$	−0.668821	−	2.93030i	−0.0559297	−	0.245044i
$144$	−21.1529	−	10.1867i	−1.76274	−	0.848891i
$145$	6.39812	−	8.02299i	0.531335	−	0.666273i
$146$	21.2506			1.75872
$147$	−15.7259	−	9.22289i	−1.29705	−	0.760691i
$148$	46.4516			3.81829
$149$	2.39288	−	3.00058i	0.196032	−	0.245817i	−0.674094	−	0.738646i	$-0.735466\pi$
$149$	2.39288	−	3.00058i	0.196032	−	0.245817i	0.870126	+	0.492829i	$0.164037\pi$
$150$	−75.1944	−	36.2117i	−6.13960	−	2.95667i
$151$	2.32783	+	10.1989i	0.189436	+	0.829975i	0.976914	+	0.213632i	$0.0685294\pi$
$151$	2.32783	+	10.1989i	0.189436	+	0.829975i	−0.787478	+	0.616343i	$0.788614\pi$
$152$	−37.0601	−	17.8472i	−3.00597	−	1.44760i
$153$	−4.45709	+	2.14642i	−0.360334	+	0.173528i
$154$	19.6984	−	3.65763i	1.58734	−	0.294740i
$155$	−2.16326	−	1.04177i	−0.173757	−	0.0836772i
$156$	−7.05969	−	8.85258i	−0.565228	−	0.708773i
$157$	14.8385	−	7.14586i	1.18424	−	0.570302i	0.265099	−	0.964221i	$-0.414595\pi$
$157$	14.8385	−	7.14586i	1.18424	−	0.570302i	0.919145	+	0.393920i	$0.128881\pi$
$158$	25.6067	−	32.1098i	2.03716	−	2.55452i
$159$	−1.48604	+	6.51075i	−0.117850	+	0.516336i
$160$	9.99172	−	12.5292i	0.789915	−	0.990522i
$161$	0.524582	−	0.0974052i	0.0413429	−	0.00767660i
$162$	9.48477	+	11.8935i	0.745194	+	0.934443i
$163$	−16.9401	+	8.15794i	−1.32685	+	0.638979i	−0.956994	−	0.290108i	$-0.906309\pi$
$163$	−16.9401	+	8.15794i	−1.32685	+	0.638979i	−0.369860	+	0.929087i	$0.620594\pi$
$164$	5.12449	−	22.4519i	0.400156	−	1.75320i
$165$	32.9513			2.56525
$166$	10.7913			0.837565
$167$	2.28549	−	10.0134i	0.176857	−	0.774861i	−0.806212	−	0.591626i	$-0.798486\pi$
$167$	2.28549	−	10.0134i	0.176857	−	0.774861i	0.983069	−	0.183234i	$-0.0586567\pi$
$168$	32.8737	−	24.0892i	2.53626	−	1.85852i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−3.08606	−	13.5209i	−0.236690	−	1.03701i
$171$	−16.4036	−	20.5694i	−1.25441	−	1.57298i
$172$	−24.5266	−	30.7554i	−1.87014	−	2.34508i
$173$	−2.20589	−	9.66465i	−0.167711	−	0.734790i	−0.986909	−	0.161279i	$-0.948438\pi$
$173$	−2.20589	−	9.66465i	−0.167711	−	0.734790i	0.819198	−	0.573511i	$-0.194419\pi$
$174$	3.55947	+	15.5950i	0.269843	+	1.18226i
$175$	27.1443	−	19.8908i	2.05191	−	1.50360i
$176$	−4.15084	+	18.1860i	−0.312881	+	1.37082i
$177$	−29.4139			−2.21089
$178$	−2.29092			−0.171712
$179$	−0.380027	+	1.66501i	−0.0284045	+	0.124448i	−0.987142	−	0.159843i	$-0.948901\pi$
$179$	−0.380027	+	1.66501i	−0.0284045	+	0.124448i	0.958738	+	0.284291i	$0.0917583\pi$
$180$	62.3753	−	30.0384i	4.64918	−	2.23893i
$181$	4.94258	+	6.19780i	0.367379	+	0.460679i	0.930820	−	0.365477i	$-0.119094\pi$
$181$	4.94258	+	6.19780i	0.367379	+	0.460679i	−0.563441	+	0.826156i	$0.690523\pi$
$182$	6.55378	−	1.21692i	0.485799	−	0.0902038i
$183$	12.5933	−	15.7915i	0.930926	−	1.16734i
$184$	−0.265410	+	1.16284i	−0.0195663	+	0.0857256i
$185$	−28.0418	+	35.1633i	−2.06168	+	2.58526i
$186$	3.37210	−	1.62392i	0.247254	−	0.119071i
$187$	2.45062	+	3.07298i	0.179207	+	0.224719i
$188$	22.8810	+	11.0189i	1.66877	+	0.803635i
$189$	5.30455	−	0.984957i	0.385850	−	0.0716451i
$190$	66.4525	−	32.0018i	4.82097	−	2.32166i
$191$	−5.10574	−	2.45879i	−0.369438	−	0.177912i	0.239948	−	0.970786i	$-0.422870\pi$
$191$	−5.10574	−	2.45879i	−0.369438	−	0.177912i	−0.609386	+	0.792874i	$0.708584\pi$
$192$	−1.63475	−	7.16231i	−0.117978	−	0.516896i
$193$	−9.81693	−	4.72758i	−0.706638	−	0.340299i	0.0458103	−	0.998950i	$-0.485413\pi$
$193$	−9.81693	−	4.72758i	−0.706638	−	0.340299i	−0.752448	+	0.658651i	$0.771127\pi$
$194$	−5.28941	+	6.63270i	−0.379757	+	0.476200i
$195$	10.9631			0.785083
$196$	4.33052	+	30.1233i	0.309323	+	2.15166i
$197$	−17.8496			−1.27173			−0.635865	−	0.771800i	$-0.719357\pi$
$197$	−17.8496			−1.27173			−0.635865	+	0.771800i	$0.719357\pi$
$198$	−17.8610	+	22.3970i	−1.26933	+	1.59169i
$199$	12.5419	+	6.03985i	0.889070	+	0.428154i	0.821929	−	0.569590i	$-0.192898\pi$
$199$	12.5419	+	6.03985i	0.889070	+	0.428154i	0.0671413	+	0.997743i	$0.478612\pi$
$200$	16.7400	+	73.3425i	1.18369	+	5.18610i
$201$	−13.2314	−	6.37191i	−0.933272	−	0.449440i
$202$	13.2046	−	6.35900i	0.929072	−	0.447417i
$203$	−6.22435	−	1.69057i	−0.436863	−	0.118655i
$204$	13.3406	+	6.42447i	0.934026	+	0.449803i
$205$	13.9023	+	17.4329i	0.970977	+	1.21757i
$206$	4.75384	−	2.28933i	0.331215	−	0.159505i
$207$	−0.475651	+	0.596448i	−0.0330600	+	0.0414560i
$208$	−1.38101	+	6.05060i	−0.0957558	+	0.419534i
$209$	−13.0330	+	16.3428i	−0.901510	+	1.13046i
$210$	−2.98140	+	73.0170i	−0.205736	+	5.03865i
$211$	11.3032	+	14.1738i	0.778144	+	0.975761i	1.00000		0.000681976i	$0.000217080\pi$
$211$	11.3032	+	14.1738i	0.778144	+	0.975761i	−0.221856	+	0.975079i	$0.571211\pi$
$212$	10.0439	−	4.83691i	0.689821	−	0.332200i
$213$	7.45843	−	32.6775i	0.511043	−	2.23903i
$214$	−11.8713			−0.811507
$215$	38.0877			2.59756
$216$	−2.68382	+	11.7586i	−0.182611	+	0.800069i
$217$	−0.0615688	+	1.50787i	−0.00417956	+	0.102361i
$218$	−3.79519	−	16.6278i	−0.257043	−	1.12618i
$219$	−4.88821	−	21.4166i	−0.330314	−	1.44720i
$220$	−34.2955	−	43.0052i	−2.31220	−	2.89941i
$221$	0.815337	+	1.02240i	0.0548455	+	0.0687740i
$222$	−15.6005	−	68.3503i	−1.04704	−	4.58737i
$223$	−0.577319	−	2.52940i	−0.0386601	−	0.169381i	0.951912	−	0.306370i	$-0.0991146\pi$
$223$	−0.577319	−	2.52940i	−0.0386601	−	0.169381i	−0.990573	+	0.136989i	$0.956257\pi$
$224$	−9.72034	−	2.64011i	−0.649468	−	0.176400i
$225$	−10.7070	+	46.9103i	−0.713798	+	3.12735i
$226$	−15.6144			−1.03865
$227$	0.658859			0.0437300			0.0218650	−	0.999761i	$-0.493040\pi$
$227$	0.658859			0.0437300			0.0218650	+	0.999761i	$0.493040\pi$
$228$	−17.5228	+	76.7722i	−1.16047	+	5.08437i
$229$	19.4201	−	9.35223i	1.28332	−	0.618012i	0.337076	−	0.941477i	$-0.390562\pi$
$229$	19.4201	−	9.35223i	1.28332	−	0.618012i	0.946240	+	0.323465i	$0.104848\pi$
$230$	−1.33346	−	1.67211i	−0.0879260	−	0.110256i
$231$	−8.21735	−	19.0109i	−0.540662	−	1.25083i
$232$	8.98983	−	11.2729i	0.590211	−	0.740101i
$233$	−0.447781	+	1.96186i	−0.0293351	+	0.128526i	−0.987475	−	0.157774i	$-0.949568\pi$
$233$	−0.447781	+	1.96186i	−0.0293351	+	0.128526i	0.958140	+	0.286300i	$0.0924253\pi$
$234$	−5.94247	+	7.45162i	−0.388471	+	0.487128i
$235$	−22.1539	+	10.6688i	−1.44516	+	0.695954i
$236$	30.6139	+	38.3886i	1.99279	+	2.49888i
$237$	−38.2508	−	18.4206i	−2.48466	−	1.19655i
$238$	−7.03117	+	5.15231i	−0.455763	+	0.333975i
$239$	−17.6114	+	8.48122i	−1.13919	+	0.548604i	−0.905769	−	0.423772i	$-0.860706\pi$
$239$	−17.6114	+	8.48122i	−1.13919	+	0.548604i	−0.233420	+	0.972376i	$0.574992\pi$
$240$	−61.3012	−	29.5211i	−3.95697	−	1.90558i
$241$	−3.82922	−	16.7769i	−0.246662	−	1.08070i	−0.934816	−	0.355131i	$-0.884436\pi$
$241$	−3.82922	−	16.7769i	−0.246662	−	1.08070i	0.688155	−	0.725564i	$-0.258421\pi$
$242$	−4.46277	−	2.14915i	−0.286877	−	0.138153i
$243$	13.6189	−	17.0776i	0.873655	−	1.09553i
$244$	−33.7169			−2.15850
$245$	−25.4172	−	14.9066i	−1.62385	−	0.952350i
$246$	−34.7574			−2.21605
$247$	−4.33615	+	5.43736i	−0.275903	+	0.345971i
$248$	−3.03954	−	1.46377i	−0.193011	−	0.0929493i
$249$	−2.48228	−	10.8756i	−0.157308	−	0.689211i
$250$	−73.7584	−	35.5202i	−4.66489	−	2.24649i
$251$	5.90261	−	2.84254i	0.372569	−	0.179420i	−0.238224	−	0.971210i	$-0.576565\pi$
$251$	5.90261	−	2.84254i	0.372569	−	0.179420i	0.610793	+	0.791790i	$0.290851\pi$
$252$	−32.8854	−	28.4959i	−2.07159	−	1.79507i
$253$	0.546103	+	0.262989i	0.0343332	+	0.0165340i
$254$	27.9175	+	35.0075i	1.75170	+	2.19656i
$255$	−12.9167	+	6.22034i	−0.808873	+	0.389533i
$256$	−19.6068	+	24.5861i	−1.22542	+	1.53663i
$257$	2.29089	−	10.0370i	0.142902	−	0.626094i	−0.851851	−	0.523784i	$-0.824520\pi$
$257$	2.29089	−	10.0370i	0.142902	−	0.626094i	0.994753	−	0.102309i	$-0.0326231\pi$
$258$	−37.0173	+	46.4183i	−2.30460	+	2.88988i
$259$	27.2802	+	7.40947i	1.69511	+	0.460402i
$260$	−11.4103	−	14.3081i	−0.707639	−	0.887351i
$261$	8.30891	−	4.00136i	0.514309	−	0.247678i
$262$	−0.459451	+	2.01299i	−0.0283850	+	0.124363i
$263$	30.5845			1.88592			0.942960	−	0.332906i	$-0.108029\pi$
$263$	30.5845			1.88592			0.942960	+	0.332906i	$0.108029\pi$
$264$	46.2989			2.84950
$265$	−2.40183	+	10.5231i	−0.147543	+	0.646428i
$266$	−35.0350	−	30.3586i	−2.14813	−	1.86140i
$267$	0.526972	+	2.30882i	0.0322502	+	0.141297i
$268$	5.45511	+	23.9004i	0.333224	+	1.45995i
$269$	5.94502	+	7.45481i	0.362474	+	0.454528i	0.929309	−	0.369303i	$-0.120404\pi$
$269$	5.94502	+	7.45481i	0.362474	+	0.454528i	−0.566835	+	0.823831i	$0.691832\pi$
$270$	−13.4839	−	16.9083i	−0.820605	−	1.02901i
$271$	2.60858	+	11.4289i	0.158460	+	0.694258i	0.990266	+	0.139191i	$0.0444502\pi$
$271$	2.60858	+	11.4289i	0.158460	+	0.694258i	−0.831806	+	0.555067i	$0.812693\pi$
$272$	−1.80594	−	7.91236i	−0.109501	−	0.479757i
$273$	−2.73396	−	6.32505i	−0.165467	−	0.382810i
$274$	−4.31241	+	18.8939i	−0.260522	+	1.14142i
$275$	38.2297			2.30534
$276$	2.28340			0.137444
$277$	−3.96847	+	17.3870i	−0.238442	+	1.04468i	0.703970	+	0.710230i	$0.251409\pi$
$277$	−3.96847	+	17.3870i	−0.238442	+	1.04468i	−0.942412	+	0.334454i	$0.891448\pi$
$278$	−15.6356	+	7.52968i	−0.937758	+	0.451600i
$279$	−1.34536	−	1.68703i	−0.0805449	−	0.101000i
$280$	53.1326	−	38.9345i	3.17528	−	2.32678i
$281$	−19.1781	+	24.0486i	−1.14407	+	1.43462i	−0.261026	+	0.965332i	$0.584061\pi$
$281$	−19.1781	+	24.0486i	−1.14407	+	1.43462i	−0.883045	+	0.469288i	$0.844511\pi$
$282$	8.52910	−	37.3684i	0.507900	−	2.22526i
$283$	6.54358	−	8.20539i	0.388976	−	0.487760i	−0.548333	−	0.836260i	$-0.684737\pi$
$283$	6.54358	−	8.20539i	0.388976	−	0.487760i	0.937309	+	0.348500i	$0.113309\pi$
$284$	−50.4107	+	24.2765i	−2.99132	+	1.44055i
$285$	−47.5376	−	59.6103i	−2.81589	−	3.53101i
$286$	6.82264	+	3.28561i	0.403431	+	0.194282i
$287$	6.59082	−	12.3682i	0.389044	−	0.730071i
$288$	12.9757	−	6.24878i	0.764603	−	0.368213i
$289$	13.7757	+	6.63405i	0.810338	+	0.390238i
$290$	5.75304	+	25.2057i	0.337830	+	1.48013i
$291$	7.90122	+	3.80502i	0.463177	+	0.223055i
$292$	−22.8636	+	28.6700i	−1.33799	+	1.67779i
$293$	22.7283			1.32780			0.663902	−	0.747820i	$-0.268899\pi$
$293$	22.7283			1.32780			0.663902	+	0.747820i	$0.268899\pi$
$294$	42.8700	−	16.4888i	2.50023	−	0.961647i
$295$	−47.5407			−2.76792
$296$	−39.4008	+	49.4070i	−2.29012	+	2.87173i
$297$	5.52217	+	2.65933i	0.320429	+	0.154310i
$298$	2.15162	+	9.42687i	0.124640	+	0.546084i
$299$	0.181692	+	0.0874981i	0.0105075	+	0.00506015i
$300$	129.756	−	62.4873i	7.49148	−	3.60770i
$301$	−9.49827	−	21.9743i	−0.547471	−	1.26658i
$302$	−23.7462	−	11.4356i	−1.36644	−	0.658043i
$303$	−9.44607	−	11.8450i	−0.542663	−	0.680477i
$304$	38.8876	−	18.7273i	2.23036	−	1.07408i
$305$	20.3542	−	25.5233i	1.16548	−	1.46146i
$306$	2.77342	−	12.1512i	0.158546	−	0.694635i
$307$	1.81389	−	2.27454i	0.103524	−	0.129815i	−0.727371	−	0.686245i	$-0.759258\pi$
$307$	1.81389	−	2.27454i	0.103524	−	0.129815i	0.830895	+	0.556430i	$0.187829\pi$
$308$	−16.2589	+	30.5111i	−0.926436	+	1.73853i
$309$	−3.40072	−	4.26436i	−0.193460	−	0.242591i
$310$	5.45021	−	2.62468i	0.309551	−	0.149072i
$311$	1.68964	−	7.40280i	0.0958108	−	0.419774i	−0.904162	−	0.427190i	$-0.859503\pi$
$311$	1.68964	−	7.40280i	0.0958108	−	0.419774i	0.999973	+	0.00741587i	$0.00236057\pi$
$312$	15.4039			0.872076
$313$	−29.9796			−1.69455			−0.847274	−	0.531157i	$-0.821758\pi$
$313$	−29.9796			−1.69455			−0.847274	+	0.531157i	$0.821758\pi$
$314$	−9.23327	+	40.4536i	−0.521064	+	2.28293i
$315$	41.4233	−	7.69154i	2.33394	−	0.433369i
$316$	15.7702	+	69.0939i	0.887145	+	3.88683i
$317$	−1.89015	−	8.28129i	−0.106161	−	0.465124i	−0.999864	−	0.0164646i	$-0.994759\pi$
$317$	−1.89015	−	8.28129i	−0.106161	−	0.465124i	0.893703	−	0.448659i	$-0.148098\pi$
$318$	−10.4904	−	13.1545i	−0.588272	−	0.737669i
$319$	−4.56845	−	5.72866i	−0.255784	−	0.320743i
$320$	−2.64219	−	11.5762i	−0.147703	−	0.647129i
$321$	2.73072	+	11.9641i	0.152414	+	0.667768i
$322$	−0.632171	+	1.18632i	−0.0352295	+	0.0661109i
$323$	2.02373	−	8.86656i	0.112604	−	0.493349i
$324$	−26.2506			−1.45837
$325$	12.7193			0.705537
$326$	10.5410	−	46.1831i	0.583812	−	2.55785i
$327$	−15.8847	+	7.64966i	−0.878425	+	0.423027i
$328$	19.5337	+	24.4945i	1.07857	+	1.35248i
$329$	11.6800	+	10.1209i	0.643938	+	0.557985i
$330$	−51.7613	+	64.9066i	−2.84937	+	3.57299i
$331$	−3.30852	+	14.4956i	−0.181853	+	0.796748i	0.798895	+	0.601470i	$0.205418\pi$
$331$	−3.30852	+	14.4956i	−0.181853	+	0.796748i	−0.980748	+	0.195278i	$0.937439\pi$
$332$	−11.6103	+	14.5589i	−0.637200	+	0.799023i
$333$	−36.4165	+	17.5372i	−1.99561	+	0.961035i
$334$	16.1340	+	20.2314i	0.882814	+	1.10701i
$335$	−21.3855	−	10.2987i	−1.16841	−	0.562678i
$336$	−1.74470	+	42.7291i	−0.0951811	+	2.33106i
$337$	−17.9891	+	8.66308i	−0.979927	+	0.471908i	−0.854080	−	0.520142i	$-0.825879\pi$
$337$	−17.9891	+	8.66308i	−0.979927	+	0.471908i	−0.125847	+	0.992050i	$0.540165\pi$
$338$	2.26994	+	1.09314i	0.123468	+	0.0594591i
$339$	3.59171	+	15.7363i	0.195075	+	0.854680i
$340$	21.5619	+	10.3836i	1.16936	+	0.563132i
$341$	−1.06892	+	1.34038i	−0.0578853	+	0.0725859i
$342$	66.2846			3.58426
$343$	−2.26172	+	18.3816i	−0.122121	+	0.992515i
$344$	53.5160			2.88539
$345$	−1.37844	+	1.72851i	−0.0742127	+	0.0930597i
$346$	22.5023	+	10.8365i	1.20973	+	0.582576i
$347$	−0.868451	−	3.80493i	−0.0466209	−	0.204259i	0.946253	−	0.323426i	$-0.104835\pi$
$347$	−0.868451	−	3.80493i	−0.0466209	−	0.204259i	−0.992874	+	0.119167i	$0.961978\pi$
$348$	−24.8695	−	11.9765i	−1.33314	−	0.642008i
$349$	−22.9959	+	11.0743i	−1.23094	+	0.592792i	−0.932339	−	0.361585i	$-0.882236\pi$
$349$	−22.9959	+	11.0743i	−1.23094	+	0.592792i	−0.298605	+	0.954377i	$0.596521\pi$
$350$	−3.45899	+	84.7135i	−0.184891	+	4.52813i
$351$	1.83726	+	0.884777i	0.0980656	+	0.0472259i
$352$	−7.13439	−	8.94624i	−0.380264	−	0.476836i
$353$	18.8549	−	9.08006i	1.00355	−	0.483283i	0.141407	−	0.989952i	$-0.454837\pi$
$353$	18.8549	−	9.08006i	1.00355	−	0.483283i	0.862141	+	0.506669i	$0.169123\pi$
$354$	46.2047	−	57.9388i	2.45575	−	3.07941i
$355$	12.0548	−	52.8155i	0.639802	−	2.80316i
$356$	2.46480	−	3.09076i	0.130634	−	0.163810i
$357$	6.80991	+	5.90093i	0.360419	+	0.312310i
$358$	−2.68272	−	3.36403i	−0.141786	−	0.177795i
$359$	14.2090	−	6.84272i	0.749925	−	0.361145i	−0.0195610	−	0.999809i	$-0.506227\pi$
$359$	14.2090	−	6.84272i	0.749925	−	0.361145i	0.769486	+	0.638664i	$0.220513\pi$
$360$	−20.9580	+	91.8229i	−1.10458	+	4.83949i
$361$	29.3671			1.54564
$362$	−19.9723			−1.04972
$363$	−1.13939	+	4.99199i	−0.0598024	+	0.262011i
$364$	−5.40943	+	10.1512i	−0.283531	+	0.532069i
$365$	−7.90064	−	34.6150i	−0.413538	−	1.81183i
$366$	11.3236	+	49.6121i	0.591896	+	2.59326i
$367$	2.09447	+	2.62639i	0.109331	+	0.137096i	0.833486	−	0.552541i	$-0.186342\pi$
$367$	2.09447	+	2.62639i	0.109331	+	0.137096i	−0.724155	+	0.689637i	$0.757770\pi$
$368$	−0.780334	−	0.978508i	−0.0406777	−	0.0510083i
$369$	4.45901	+	19.5362i	0.232127	+	1.01701i
$370$	−25.2146	−	110.472i	−1.31084	−	5.74318i
$371$	6.67017	−	1.23853i	0.346298	−	0.0643011i
$372$	−1.43716	+	6.29660i	−0.0745131	+	0.326463i
$373$	−9.84224			−0.509612			−0.254806	−	0.966992i	$-0.582012\pi$
$373$	−9.84224			−0.509612			−0.254806	+	0.966992i	$0.582012\pi$
$374$	−9.90263			−0.512053
$375$	−18.8313	+	82.5051i	−0.972442	+	4.26055i
$376$	−31.1279	+	14.9904i	−1.60530	+	0.773071i
$377$	−1.51995	−	1.90596i	−0.0782815	−	0.0981619i
$378$	−6.39248	+	11.9960i	−0.328794	+	0.617007i
$379$	1.25623	−	1.57527i	0.0645284	−	0.0809161i	−0.748520	−	0.663112i	$-0.769235\pi$
$379$	1.25623	−	1.57527i	0.0645284	−	0.0809161i	0.813048	+	0.582196i	$0.197807\pi$
$380$	−28.3214	+	124.084i	−1.45286	+	6.36539i
$381$	28.8591	−	36.1882i	1.47850	−	1.85398i
$382$	12.8636	−	6.19478i	0.658159	−	0.316953i
$383$	15.6516	+	19.6265i	0.799762	+	1.00287i	0.999734	+	0.0230678i	$0.00734337\pi$
$383$	15.6516	+	19.6265i	0.799762	+	1.00287i	−0.199972	+	0.979802i	$0.564085\pi$
$384$	34.5425	+	16.6348i	1.76274	+	0.848892i
$385$	−13.2814	−	30.7267i	−0.676884	−	1.56598i
$386$	24.7331	−	11.9109i	1.25888	−	0.606247i
$387$	30.8394	+	14.8515i	1.56765	+	0.754942i
$388$	−3.25755	−	14.2723i	−0.165377	−	0.724564i
$389$	−3.84743	−	1.85283i	−0.195072	−	0.0939420i	0.333798	−	0.942645i	$-0.391670\pi$
$389$	−3.84743	−	1.85283i	−0.195072	−	0.0939420i	−0.528870	+	0.848703i	$0.677384\pi$
$390$	−17.2213	+	21.5948i	−0.872034	+	1.09350i
$391$	−0.263714			−0.0133366
$392$	−35.7131	−	20.9449i	−1.80378	−	1.05788i
$393$	2.13440			0.107666
$394$	28.0389	−	35.1597i	1.41258	−	1.77132i
$395$	−61.8235	−	29.7726i	−3.11068	−	1.49802i
$396$	−10.9999	−	48.1939i	−0.552768	−	2.42183i
$397$	3.63408	+	1.75008i	0.182389	+	0.0878341i	0.522850	−	0.852425i	$-0.324869\pi$
$397$	3.63408	+	1.75008i	0.182389	+	0.0878341i	−0.340461	+	0.940259i	$0.610583\pi$
$398$	−31.5985	+	15.2170i	−1.58389	+	0.762761i
$399$	−22.5367	+	42.2919i	−1.12825	+	2.11725i
$400$	−71.1209	−	34.2500i	−3.55605	−	1.71250i
$401$	3.93768	+	4.93769i	0.196638	+	0.246576i	0.870369	−	0.492401i	$-0.163881\pi$
$401$	3.93768	+	4.93769i	0.196638	+	0.246576i	−0.673730	+	0.738977i	$0.735309\pi$
$402$	33.3357	−	16.0536i	1.66263	−	0.800682i
$403$	−0.355636	+	0.445954i	−0.0177155	+	0.0222145i
$404$	−5.62767	+	24.6564i	−0.279987	+	1.22670i
$405$	15.8469	−	19.8714i	0.787441	−	0.987420i
$406$	13.1075	−	9.60494i	0.650515	−	0.476685i
$407$	20.0227	+	25.1077i	0.992488	+	1.24454i
$408$	−18.1489	+	8.74003i	−0.898502	+	0.432696i
$409$	−7.77727	+	34.0744i	−0.384561	+	1.68487i	0.298419	+	0.954435i	$0.403541\pi$
$409$	−7.77727	+	34.0744i	−0.384561	+	1.68487i	−0.682980	+	0.730437i	$0.739316\pi$
$410$	−56.1772			−2.77440
$411$	20.0335			0.988178
$412$	−2.02604	+	8.87666i	−0.0998158	+	0.437322i
$413$	11.8556	+	27.4281i	0.583378	+	1.34965i
$414$	−0.427695	−	1.87385i	−0.0210200	−	0.0920948i
$415$	−4.01202	−	17.5778i	−0.196942	−	0.862860i
$416$	−2.37366	−	2.97647i	−0.116378	−	0.145933i
$417$	11.1851	+	14.0257i	0.547736	+	0.686839i
$418$	−11.7190	−	51.3441i	−0.573193	−	2.51132i
$419$	−0.265628	−	1.16379i	−0.0129768	−	0.0568549i	0.968025	−	0.250854i	$-0.0807113\pi$
$419$	−0.265628	−	1.16379i	−0.0129768	−	0.0568549i	−0.981002	+	0.193999i	$0.937854\pi$
$420$	−95.3022	−	82.5813i	−4.65027	−	4.02956i
$421$	8.45838	−	37.0586i	0.412236	−	1.80613i	−0.161253	−	0.986913i	$-0.551554\pi$
$421$	8.45838	−	37.0586i	0.412236	−	1.80613i	0.573490	−	0.819213i	$-0.305589\pi$
$422$	−45.6747			−2.22341
$423$	−22.0980			−1.07444
$424$	−3.37474	+	14.7857i	−0.163892	+	0.718058i
$425$	−14.9858	+	7.21677i	−0.726917	+	0.350065i
$426$	52.6514	+	66.0227i	2.55097	+	3.19881i
$427$	−19.8013	−	5.37817i	−0.958253	−	0.260268i
$428$	12.7724	−	16.0160i	0.617375	−	0.774164i
$429$	1.74189	−	7.63171i	0.0840992	−	0.368463i
$430$	−59.8298	+	75.0242i	−2.88525	+	3.61799i
$431$	20.2279	−	9.74123i	0.974342	−	0.469219i	0.122187	−	0.992507i	$-0.461009\pi$
$431$	20.2279	−	9.74123i	0.974342	−	0.469219i	0.852156	+	0.523289i	$0.175295\pi$
$432$	−7.89070	−	9.89463i	−0.379642	−	0.476056i
$433$	−6.22735	−	2.99893i	−0.299267	−	0.144119i	0.278224	−	0.960516i	$-0.410254\pi$
$433$	−6.22735	−	2.99893i	−0.299267	−	0.144119i	−0.577492	+	0.816397i	$0.695968\pi$
$434$	−2.87345	−	2.48991i	−0.137930	−	0.119519i
$435$	24.0793	−	11.5960i	1.15451	−	0.555984i
$436$	26.5164	+	12.7696i	1.26991	+	0.611554i
$437$	−0.312084	−	1.36733i	−0.0149290	−	0.0654082i
$438$	49.8646	+	24.0135i	2.38262	+	1.14741i
$439$	−12.4367	+	15.5952i	−0.593574	+	0.744318i	−0.984361	−	0.176163i	$-0.943631\pi$
$439$	−12.4367	+	15.5952i	−0.593574	+	0.744318i	0.390787	+	0.920481i	$0.372203\pi$
$440$	74.8314			3.56744
$441$	−14.7677	−	21.9807i	−0.703223	−	1.04670i
$442$	−3.29466			−0.156711
$443$	5.92371	−	7.42810i	0.281444	−	0.352920i	−0.620936	−	0.783862i	$-0.713247\pi$
$443$	5.92371	−	7.42810i	0.281444	−	0.352920i	0.902380	+	0.430942i	$0.141819\pi$
$444$	108.998	+	52.4909i	5.17284	+	2.49111i
$445$	0.851726	+	3.73166i	0.0403757	+	0.176898i
$446$	5.88923	+	2.83610i	0.278863	+	0.134293i
$447$	9.00557	−	4.33686i	0.425949	−	0.205126i
$448$	−6.01987	+	4.41125i	−0.284412	+	0.208412i
$449$	−9.41395	−	4.53352i	−0.444272	−	0.213950i	0.198354	−	0.980131i	$-0.436441\pi$
$449$	−9.41395	−	4.53352i	−0.444272	−	0.213950i	−0.642625	+	0.766180i	$0.722155\pi$
$450$	−75.5838	−	94.7791i	−3.56305	−	4.46793i
$451$	14.3444	−	6.90791i	0.675452	−	0.325281i
$452$	16.7995	−	21.0659i	0.790181	−	0.990856i
$453$	−6.06264	+	26.5622i	−0.284848	+	1.24800i
$454$	−1.03496	+	1.29780i	−0.0485733	+	0.0609090i
$455$	−4.41881	−	10.2230i	−0.207157	−	0.479260i
$456$	−66.7938	−	83.7568i	−3.12791	−	3.92227i
$457$	−4.81903	+	2.32072i	−0.225425	+	0.108559i	−0.543187	−	0.839611i	$-0.682783\pi$
$457$	−4.81903	+	2.32072i	−0.225425	+	0.108559i	0.317763	+	0.948170i	$0.397068\pi$
$458$	−12.0842	+	52.9441i	−0.564655	+	2.47392i
$459$	−2.66666			−0.124469
$460$	3.69058			0.172074
$461$	3.48253	−	15.2579i	0.162197	−	0.710634i	−0.826775	−	0.562533i	$-0.809827\pi$
$461$	3.48253	−	15.2579i	0.162197	−	0.710634i	0.988972	−	0.148101i	$-0.0473159\pi$
$462$	50.3555	+	13.6769i	2.34275	+	0.636305i
$463$	−3.39920	−	14.8929i	−0.157974	−	0.692130i	−0.990427	−	0.138035i	$-0.955921\pi$
$463$	−3.39920	−	14.8929i	−0.157974	−	0.692130i	0.832453	−	0.554095i	$-0.186936\pi$
$464$	3.36664	+	14.7502i	0.156293	+	0.684762i
$465$	−3.89887	−	4.88903i	−0.180806	−	0.226723i
$466$	−3.16102	−	3.96380i	−0.146432	−	0.183619i
$467$	−8.48888	−	37.1922i	−0.392818	−	1.72105i	−0.654647	−	0.755935i	$-0.727183\pi$
$467$	−8.48888	−	37.1922i	−0.392818	−	1.72105i	0.261828	−	0.965114i	$-0.415675\pi$
$468$	−3.65975	−	16.0344i	−0.169172	−	0.741190i
$469$	−0.608653	+	14.9064i	−0.0281050	+	0.688314i
$470$	13.7853	−	60.3973i	0.635868	−	2.78592i
$471$	42.8935			1.97643
$472$	−66.7981			−3.07463
$473$	6.05163	−	26.5139i	0.278254	−	1.21911i
$474$	96.3706	−	46.4096i	4.42645	−	2.13166i
$475$	−55.1526	−	69.1592i	−2.53058	−	3.17324i
$476$	0.613674	−	15.0294i	0.0281277	−	0.688871i
$477$	−6.04800	+	7.58395i	−0.276919	+	0.347245i
$478$	10.9587	−	48.0132i	0.501240	−	2.19607i
$479$	2.66541	−	3.34232i	0.121786	−	0.152715i	−0.717201	−	0.696866i	$-0.754577\pi$
$479$	2.66541	−	3.34232i	0.121786	−	0.152715i	0.838987	+	0.544152i	$0.183148\pi$
$480$	37.6037	−	18.1090i	1.71637	−	0.826559i
$481$	6.66167	+	8.35348i	0.303746	+	0.380886i
$482$	39.0618	+	18.8112i	1.77922	+	0.856826i
$483$	1.34100	+	0.364224i	0.0610176	+	0.0165728i
$484$	7.70099	−	3.70860i	0.350045	−	0.168573i
$485$	12.7705	+	6.14993i	0.579877	+	0.279254i
$486$	12.2458	+	53.6525i	0.555482	+	2.43373i
$487$	3.31353	+	1.59571i	0.150150	+	0.0723086i	0.507450	−	0.861681i	$-0.330588\pi$
$487$	3.31353	+	1.59571i	0.150150	+	0.0723086i	−0.357300	+	0.933990i	$0.616302\pi$
$488$	28.5991	−	35.8621i	1.29462	−	1.62340i
$489$	−48.9686			−2.21444
$490$	69.2892	−	26.6503i	3.13017	−	1.20394i
$491$	−16.2397			−0.732887			−0.366443	−	0.930440i	$-0.619425\pi$
$491$	−16.2397			−0.732887			−0.366443	+	0.930440i	$0.619425\pi$
$492$	37.3955	−	46.8925i	1.68592	−	2.11408i
$493$	2.87222	+	1.38319i	0.129358	+	0.0622957i
$494$	−3.89897	−	17.0825i	−0.175423	−	0.768578i
$495$	43.1227	+	20.7668i	1.93822	+	0.933398i
$496$	3.18943	−	1.53595i	0.143209	−	0.0689661i
$497$	−33.4776	+	6.21618i	−1.50168	+	0.278834i
$498$	25.3217	+	12.1943i	1.13469	+	0.546439i
$499$	0.0189150	+	0.0237186i	0.000846750	+	0.00106179i	0.782255	−	0.622959i	$-0.214070\pi$
$499$	0.0189150	+	0.0237186i	0.000846750	+	0.00106179i	−0.781408	+	0.624021i	$0.785498\pi$
$500$	127.278	−	61.2940i	5.69206	−	2.74115i
$501$	16.6782	−	20.9138i	0.745127	−	0.934359i
$502$	−3.67289	+	16.0920i	−0.163929	+	0.718221i
$503$	12.0970	−	15.1691i	0.539377	−	0.676358i	−0.435219	−	0.900324i	$-0.643329\pi$
$503$	12.0970	−	15.1691i	0.539377	−	0.676358i	0.974597	+	0.223967i	$0.0719006\pi$
$504$	58.2028	−	10.8072i	2.59256	−	0.481390i
$505$	−15.2674	−	19.1447i	−0.679388	−	0.851926i
$506$	−1.37587	+	0.662585i	−0.0611650	+	0.0294555i
$507$	0.579537	−	2.53912i	0.0257381	−	0.112766i
$508$	−77.2663			−3.42814
$509$	24.6422			1.09225			0.546124	−	0.837704i	$-0.316103\pi$
$509$	24.6422			1.09225			0.546124	+	0.837704i	$0.316103\pi$
$510$	8.03739	−	35.2141i	0.355902	−	1.55931i
$511$	−18.0005	+	13.1904i	−0.796296	+	0.583511i
$512$	−11.0785	−	48.5382i	−0.489607	−	2.14511i
$513$	−3.15578	−	13.8264i	−0.139331	−	0.610449i
$514$	16.1721	+	20.2792i	0.713321	+	0.894476i
$515$	−5.49646	−	6.89234i	−0.242203	−	0.303713i
$516$	−22.7976	−	99.8829i	−1.00361	−	4.39710i
$517$	3.90687	+	17.1171i	0.171824	+	0.752809i
$518$	−57.4479	+	42.0967i	−2.52412	+	1.84962i
$519$	5.74506	−	25.1708i	0.252180	−	1.10487i
$520$	24.8968			1.09180
$521$	−29.8533			−1.30790			−0.653948	−	0.756539i	$-0.726889\pi$
$521$	−29.8533			−1.30790			−0.653948	+	0.756539i	$0.726889\pi$
$522$	−5.17022	+	22.6522i	−0.226294	+	0.991460i
$523$	−8.36985	+	4.03071i	−0.365988	+	0.176250i	−0.607834	−	0.794064i	$-0.707961\pi$
$523$	−8.36985	+	4.03071i	−0.365988	+	0.176250i	0.241846	+	0.970315i	$0.422247\pi$
$524$	−2.22147	−	2.78564i	−0.0970454	−	0.121691i
$525$	86.1709	−	16.0003i	3.76080	−	0.698311i
$526$	−48.0435	+	60.2446i	−2.09479	+	2.62679i
$527$	0.165980	−	0.727205i	0.00723019	−	0.0316775i
$528$	−30.2904	+	37.9829i	−1.31822	+	1.65300i
$529$	20.6856	−	9.96168i	0.899376	−	0.433117i
$530$	−16.9552	−	21.2612i	−0.736489	−	0.923527i
$531$	−38.4934	−	18.5374i	−1.67047	−	0.804457i
$532$	78.6520	−	14.6042i	3.41000	−	0.633173i
$533$	4.77248	−	2.29830i	0.206719	−	0.0995506i
$534$	−5.37564	−	2.58877i	−0.232627	−	0.112027i
$535$	4.41356	+	19.3371i	0.190815	+	0.836015i
$536$	−30.0481	−	14.4704i	−1.29788	−	0.625027i
$537$	−2.77321	+	3.47749i	−0.119673	+	0.150065i
$538$	−24.0230			−1.03571
$539$	−14.4154	+	15.3252i	−0.620914	+	0.660102i
$540$	37.3189			1.60595
$541$	−19.6136	+	24.5946i	−0.843252	+	1.05741i	0.154337	+	0.988018i	$0.450676\pi$
$541$	−19.6136	+	24.5946i	−0.843252	+	1.05741i	−0.997590	+	0.0693869i	$0.977896\pi$
$542$	−26.6101	−	12.8147i	−1.14300	−	0.550440i
$543$	4.59415	+	20.1283i	0.197154	+	0.863788i
$544$	4.48545	+	2.16008i	0.192312	+	0.0926125i
$545$	−25.6739	+	12.3639i	−1.09975	+	0.529610i
$546$	16.7536	+	4.55037i	0.716986	+	0.194738i
$547$	34.4564	+	16.5933i	1.47325	+	0.709479i	0.986454	−	0.164039i	$-0.0524522\pi$
$547$	34.4564	+	16.5933i	1.47325	+	0.709479i	0.486793	+	0.873517i	$0.338166\pi$
$548$	−20.8507	−	26.1460i	−0.890700	−	1.11690i
$549$	26.4329	−	12.7294i	1.12813	−	0.543278i
$550$	−60.0529	+	75.3039i	−2.56066	+	3.21097i
$551$	−3.77265	+	16.5291i	−0.160720	+	0.704161i
$552$	−1.93681	+	2.42868i	−0.0824360	+	0.103371i
$553$	−1.75956	+	43.0931i	−0.0748242	+	1.83251i
$554$	−28.0146	−	35.1293i	−1.19023	−	1.49250i
$555$	−105.535	+	50.8230i	−4.47971	+	2.15732i
$556$	6.66372	−	29.1957i	0.282605	−	1.23817i
$557$	−6.09082			−0.258076			−0.129038	−	0.991640i	$-0.541189\pi$
$557$	−6.09082			−0.258076			−0.129038	+	0.991640i	$0.541189\pi$
$558$	5.43644			0.230143
$559$	2.01341	−	8.82134i	0.0851583	−	0.373103i
$560$	−2.81989	+	69.0615i	−0.119162	+	2.91838i
$561$	2.27786	+	9.97998i	0.0961715	+	0.421355i
$562$	−17.2445	−	75.5532i	−0.727417	−	3.18702i
$563$	−9.05305	−	11.3522i	−0.381541	−	0.478437i	0.553565	−	0.832806i	$-0.313267\pi$
$563$	−9.05305	−	11.3522i	−0.381541	−	0.478437i	−0.935106	+	0.354369i	$0.884696\pi$
$564$	41.2386	+	51.7116i	1.73646	+	2.17745i
$565$	5.80516	+	25.4341i	0.244225	+	1.07002i
$566$	5.88384	+	25.7788i	0.247316	+	1.08356i
$567$	−15.4165	−	4.18723i	−0.647434	−	0.175847i
$568$	16.9379	−	74.2097i	0.710697	−	3.11377i
$569$	−30.1507			−1.26399			−0.631993	−	0.774974i	$-0.717763\pi$
$569$	−30.1507			−1.26399			−0.631993	+	0.774974i	$0.717763\pi$
$570$	192.093			8.04589
$571$	0.548586	−	2.40351i	0.0229576	−	0.100584i	−0.962151	−	0.272517i	$-0.912144\pi$
$571$	0.548586	−	2.40351i	0.0229576	−	0.100584i	0.985109	+	0.171933i	$0.0550012\pi$
$572$	−11.7732	+	5.66968i	−0.492263	+	0.237061i
$573$	−9.20213	−	11.5391i	−0.384425	−	0.482053i
$574$	14.0094	+	32.4109i	0.584742	+	1.35281i
$575$	−1.59925	+	2.00540i	−0.0666933	+	0.0836308i
$576$	2.37452	−	10.4034i	0.0989382	−	0.433477i
$577$	−1.98400	+	2.48786i	−0.0825952	+	0.103571i	−0.821412	−	0.570335i	$-0.806813\pi$
$577$	−1.98400	+	2.48786i	−0.0825952	+	0.103571i	0.738817	+	0.673906i	$0.235385\pi$
$578$	−34.7071	+	16.7141i	−1.44363	+	0.695214i
$579$	−17.6932	−	22.1865i	−0.735303	−	0.922041i
$580$	−40.1957	−	19.3572i	−1.66903	−	0.803764i
$581$	−9.14083	+	6.69822i	−0.379225	+	0.277889i
$582$	−19.9066	+	9.58652i	−0.825156	+	0.397374i
$583$	6.94380	+	3.34396i	0.287583	+	0.138493i
$584$	−11.1010	−	48.6365i	−0.459361	−	2.01259i
$585$	14.3472	+	6.90924i	0.593183	+	0.285662i
$586$	−35.7027	+	44.7697i	−1.47486	+	1.84942i
$587$	27.5445			1.13688			0.568442	−	0.822723i	$-0.307546\pi$
$587$	27.5445			1.13688			0.568442	+	0.822723i	$0.307546\pi$
$588$	−23.8782	+	75.5777i	−0.984719	+	3.11677i
$589$	3.96691			0.163454
$590$	74.6790	−	93.6445i	3.07448	−	3.85528i
$591$	−41.8840	−	20.1703i	−1.72288	−	0.829694i
$592$	−14.7554	−	64.6476i	−0.606443	−	2.65700i
$593$	42.7340	+	20.5796i	1.75488	+	0.845103i	0.975953	+	0.217983i	$0.0699478\pi$
$593$	42.7340	+	20.5796i	1.75488	+	0.845103i	0.778923	+	0.627120i	$0.215766\pi$
$594$	−13.9128	+	6.70003i	−0.570847	+	0.274906i
$595$	11.0066	+	9.53746i	0.451227	+	0.390998i
$596$	−15.0331	−	7.23954i	−0.615778	−	0.296543i
$597$	22.6044	+	28.3450i	0.925135	+	1.16008i
$598$	−0.457761	+	0.220446i	−0.0187192	+	0.00901471i
$599$	−1.34828	+	1.69070i	−0.0550894	+	0.0690800i	−0.808613	−	0.588341i	$-0.799781\pi$
$599$	−1.34828	+	1.69070i	−0.0550894	+	0.0690800i	0.753523	+	0.657421i	$0.228353\pi$
$600$	−43.5978	+	191.014i	−1.77987	+	7.79813i
$601$	−2.56555	+	3.21710i	−0.104651	+	0.131228i	−0.831399	−	0.555676i	$-0.812459\pi$
$601$	−2.56555	+	3.21710i	−0.104651	+	0.131228i	0.726748	+	0.686904i	$0.241031\pi$
$602$	58.2048	+	15.8088i	2.37225	+	0.644319i
$603$	−13.2999	−	16.6776i	−0.541615	−	0.679164i
$604$	40.9767	−	19.7333i	1.66732	−	0.802938i
$605$	−1.84155	+	8.06837i	−0.0748698	+	0.328026i
$606$	38.1703			1.55056
$607$	−27.5664			−1.11888			−0.559442	−	0.828869i	$-0.688985\pi$
$607$	−27.5664			−1.11888			−0.559442	+	0.828869i	$0.688985\pi$
$608$	−5.89161	+	25.8128i	−0.238936	+	1.04685i
$609$	−12.6950	−	11.0005i	−0.514429	−	0.445763i
$610$	18.3020	+	80.1862i	0.741026	+	3.24665i
$611$	1.29984	+	5.69496i	0.0525858	+	0.230394i
$612$	13.4096	+	16.8152i	0.542053	+	0.679712i
$613$	20.2458	+	25.3875i	0.817721	+	1.02539i	0.999118	+	0.0419798i	$0.0133665\pi$
$613$	20.2458	+	25.3875i	0.817721	+	1.02539i	−0.181398	+	0.983410i	$0.558062\pi$
$614$	1.63101	+	7.14590i	0.0658220	+	0.288385i
$615$	12.9222	+	56.6160i	0.521075	+	2.28298i
$616$	−18.6614	−	43.1733i	−0.751888	−	1.73950i
$617$	−0.625835	+	2.74196i	−0.0251952	+	0.110387i	−0.985962	−	0.166970i	$-0.946602\pi$
$617$	−0.625835	+	2.74196i	−0.0251952	+	0.110387i	0.960767	+	0.277358i	$0.0894587\pi$
$618$	13.7418			0.552778
$619$	4.39529			0.176662			0.0883309	−	0.996091i	$-0.471847\pi$
$619$	4.39529			0.176662			0.0883309	+	0.996091i	$0.471847\pi$
$620$	−2.32283	+	10.1770i	−0.0932869	+	0.408717i
$621$	−0.370506	+	0.178426i	−0.0148679	+	0.00716000i
$622$	11.9277	+	14.9569i	0.478257	+	0.599716i
$623$	1.94054	−	1.42199i	0.0777462	−	0.0569709i
$624$	−10.0778	+	12.6372i	−0.403435	+	0.505891i
$625$	−16.2848	+	71.3483i	−0.651392	+	2.85393i
$626$	47.0933	−	59.0531i	1.88223	−	2.36024i
$627$	−49.0495	+	23.6210i	−1.95885	+	0.943331i
$628$	−44.6433	−	55.9810i	−1.78146	−	2.23388i
$629$	−12.5884	−	6.06227i	−0.501933	−	0.241718i
$630$	−49.9190	+	93.6769i	−1.98882	+	3.73218i
$631$	−20.2975	+	9.77474i	−0.808029	+	0.389126i	−0.791829	−	0.610743i	$-0.790871\pi$
$631$	−20.2975	+	9.77474i	−0.808029	+	0.389126i	−0.0161996	+	0.999869i	$0.505157\pi$
$632$	−86.8665	−	41.8327i	−3.45536	−	1.66402i
$633$	10.5064	+	46.0314i	0.417591	+	1.82959i
$634$	19.2814	+	9.28544i	0.765763	+	0.368772i
$635$	46.6440	−	58.4897i	1.85101	−	2.32109i
$636$	29.0339			1.15127
$637$	−4.79608	+	5.09878i	−0.190028	+	0.202021i
$638$	18.4605			0.730858
$639$	30.3550	−	38.0639i	1.20082	−	1.50579i
$640$	55.8299	+	26.8863i	2.20687	+	1.06277i
$641$	6.42063	+	28.1306i	0.253600	+	1.11109i	0.927957	+	0.372688i	$0.121564\pi$
$641$	6.42063	+	28.1306i	0.253600	+	1.11109i	−0.674357	+	0.738405i	$0.735579\pi$
$642$	−27.8560	−	13.4148i	−1.09939	−	0.529438i
$643$	3.38079	−	1.62810i	0.133325	−	0.0642060i	−0.366032	−	0.930602i	$-0.619284\pi$
$643$	3.38079	−	1.62810i	0.133325	−	0.0642060i	0.499357	+	0.866396i	$0.333570\pi$
$644$	−0.920352	−	2.12924i	−0.0362670	−	0.0839040i
$645$	89.3727	+	43.0396i	3.51905	+	1.69468i
$646$	14.2862	+	17.9143i	0.562082	+	0.704828i
$647$	−0.880138	+	0.423852i	−0.0346018	+	0.0166633i	−0.451105	−	0.892471i	$-0.648970\pi$
$647$	−0.880138	+	0.423852i	−0.0346018	+	0.0166633i	0.416503	+	0.909134i	$0.363256\pi$
$648$	22.2661	−	27.9208i	0.874696	−	1.09683i
$649$	−7.55358	+	33.0944i	−0.296504	+	1.29907i
$650$	−19.9800	+	25.0541i	−0.783679	+	0.982702i
$651$	−1.84839	+	3.46864i	−0.0724439	+	0.135947i
$652$	50.9663	+	63.9097i	1.99599	+	2.50290i
$653$	38.0356	−	18.3170i	1.48845	−	0.716800i	0.499675	−	0.866213i	$-0.333453\pi$
$653$	38.0356	−	18.3170i	1.48845	−	0.716800i	0.988775	+	0.149413i	$0.0477385\pi$
$654$	9.88424	−	43.3057i	0.386505	−	1.69339i
$655$	3.44975			0.134793
$656$	−32.8746			−1.28354
$657$	7.10024	−	31.1082i	0.277007	−	1.21365i
$658$	−38.2834	+	7.10851i	−1.49244	+	0.277119i
$659$	7.62589	+	33.4112i	0.297062	+	1.30152i	0.874478	+	0.485065i	$0.161204\pi$
$659$	7.62589	+	33.4112i	0.297062	+	1.30152i	−0.577416	+	0.816450i	$0.695939\pi$
$660$	−31.8779	−	139.666i	−1.24084	−	5.43650i
$661$	−9.40604	−	11.7948i	−0.365853	−	0.458765i	0.564499	−	0.825434i	$-0.309069\pi$
$661$	−9.40604	−	11.7948i	−0.365853	−	0.458765i	−0.930351	+	0.366669i	$0.880498\pi$
$662$	−23.3559	−	29.2873i	−0.907751	−	1.13828i
$663$	0.757859	+	3.32040i	0.0294328	+	0.128954i
$664$	−5.63717	−	24.6981i	−0.218765	−	0.958471i
$665$	−36.4253	+	68.3550i	−1.41251	+	2.65069i
$666$	22.6601	−	99.2805i	0.878062	−	3.84704i
$667$	0.491616			0.0190354
$668$	−44.6535			−1.72770
$669$	1.50358	−	6.58760i	0.0581317	−	0.254692i
$670$	53.8793	−	25.9469i	2.08154	−	1.00242i
$671$	−14.5335	−	18.2244i	−0.561059	−	0.703545i
$672$	−19.8254	−	17.1791i	−0.764782	−	0.662699i
$673$	−15.3586	+	19.2591i	−0.592032	+	0.742384i	−0.984112	−	0.177547i	$-0.943184\pi$
$673$	−15.3586	+	19.2591i	−0.592032	+	0.742384i	0.392081	+	0.919931i	$0.371755\pi$
$674$	11.1937	−	49.0428i	0.431165	−	1.88906i
$675$	−16.1715	+	20.2785i	−0.622443	+	0.780519i
$676$	−3.91702	+	1.88634i	−0.150655	+	0.0725515i
$677$	10.3312	+	12.9550i	0.397062	+	0.497900i	0.939668	−	0.342087i	$-0.111134\pi$
$677$	10.3312	+	12.9550i	0.397062	+	0.497900i	−0.542606	+	0.839987i	$0.682562\pi$
$678$	−36.6390	−	17.6444i	−1.40711	−	0.677630i
$679$	0.363461	−	8.90146i	0.0139484	−	0.341607i
$680$	−29.3333	+	14.1262i	−1.12488	+	0.541715i
$681$	1.54601	+	0.744519i	0.0592432	+	0.0285300i
$682$	−0.961149	−	4.21107i	−0.0368043	−	0.161250i
$683$	−3.07352	−	1.48013i	−0.117605	−	0.0566356i	0.374156	−	0.927366i	$-0.377932\pi$
$683$	−3.07352	−	1.48013i	−0.117605	−	0.0566356i	−0.491761	+	0.870730i	$0.663647\pi$
$684$	−71.3156	+	89.4270i	−2.72682	+	3.41933i
$685$	32.3794			1.23715
$686$	−32.6549	−	33.3298i	−1.24677	−	1.27254i
$687$	56.1373			2.14177
$688$	−35.0120	+	43.9037i	−1.33482	+	1.67381i
$689$	2.31024	+	1.11256i	0.0880133	+	0.0423850i
$690$	−1.23946	−	5.43043i	−0.0471855	−	0.206733i
$691$	−6.48560	−	3.12330i	−0.246724	−	0.118816i	0.306435	−	0.951891i	$-0.400864\pi$
$691$	−6.48560	−	3.12330i	−0.246724	−	0.118816i	−0.553159	+	0.833075i	$0.686578\pi$
$692$	−38.8302	+	18.6996i	−1.47610	+	0.710854i
$693$	1.22732	−	30.0580i	0.0466220	−	1.14181i
$694$	8.85906	+	4.26630i	0.336285	+	0.161947i
$695$	18.0781	+	22.6692i	0.685740	+	0.859891i
$696$	33.8331	−	16.2932i	1.28244	−	0.617591i
$697$	−4.31888	+	5.41570i	−0.163589	+	0.205134i
$698$	14.3092	−	62.6928i	0.541612	−	2.37296i
$699$	−3.26764	+	4.09749i	−0.123594	+	0.154981i
$700$	−110.569	−	95.8099i	−4.17910	−	3.62127i
$701$	−5.15407	−	6.46300i	−0.194667	−	0.244104i	0.674913	−	0.737898i	$-0.264181\pi$
$701$	−5.15407	−	6.46300i	−0.194667	−	0.244104i	−0.869579	+	0.493794i	$0.835610\pi$
$702$	−4.62886	+	2.22914i	−0.174705	+	0.0841335i
$703$	16.5348	−	72.4439i	0.623623	−	2.73227i
$704$	−8.47832			−0.319539
$705$	−64.0400			−2.41189
$706$	−11.7325	+	51.4034i	−0.441558	+	1.93459i
$707$	−7.23797	+	13.5826i	−0.272212	+	0.510827i
$708$	28.4557	+	124.673i	1.06943	+	4.68549i
$709$	4.50251	+	19.7268i	0.169095	+	0.740854i	0.986361	+	0.164594i	$0.0526314\pi$
$709$	4.50251	+	19.7268i	0.169095	+	0.740854i	−0.817266	+	0.576260i	$0.804511\pi$
$710$	85.0986	+	106.710i	3.19369	+	4.00476i
$711$	−38.4489	−	48.2134i	−1.44195	−	1.80814i
$712$	1.19674	+	5.24325i	0.0448496	+	0.196499i
$713$	−0.0255961	−	0.112144i	−0.000958580	−	0.00419981i
$714$	−22.3208	+	4.14456i	−0.835335	+	0.155106i
$715$	2.81535	−	12.3349i	0.105288	−	0.461298i
$716$	7.42488			0.277481
$717$	−50.9091			−1.90123
$718$	−8.84158	+	38.7375i	−0.329965	+	1.44567i
$719$	16.8158	−	8.09804i	0.627122	−	0.302006i	−0.0931984	−	0.995648i	$-0.529709\pi$
$719$	16.8158	−	8.09804i	0.627122	−	0.302006i	0.720320	+	0.693642i	$0.243995\pi$
$720$	−61.6186	−	77.2673i	−2.29639	−	2.87958i
$721$	−2.60577	+	4.88994i	−0.0970440	+	0.182111i
$722$	−46.1312	+	57.8467i	−1.71682	+	2.15283i
$723$	9.97287	−	43.6940i	0.370895	−	1.62500i
$724$	21.4882	−	26.9454i	0.798603	−	1.00142i
$725$	27.9365	−	13.4535i	1.03754	−	0.499651i
$726$	−8.04329	−	10.0860i	−0.298515	−	0.374325i
$727$	−5.55289	−	2.67413i	−0.205945	−	0.0991780i	0.328068	−	0.944654i	$-0.393602\pi$
$727$	−5.55289	−	2.67413i	−0.205945	−	0.0991780i	−0.534013	+	0.845476i	$0.679317\pi$
$728$	−6.20875	−	14.3640i	−0.230112	−	0.532365i
$729$	34.9346	−	16.8236i	1.29387	−	0.623096i
$730$	80.5944	+	38.8122i	2.98293	+	1.43650i
$731$	2.63294	+	11.5356i	0.0973827	+	0.426661i
$732$	−79.1165	−	38.1005i	−2.92423	−	1.40824i
$733$	11.3917	−	14.2848i	0.420763	−	0.527620i	−0.525597	−	0.850734i	$-0.676158\pi$
$733$	11.3917	−	14.2848i	0.420763	−	0.527620i	0.946360	+	0.323113i	$0.104730\pi$
$734$	−8.46349			−0.312393
$735$	−42.7968	−	63.7002i	−1.57858	−	2.34962i
$736$	0.767739			0.0282992
$737$	−10.5671	+	13.2507i	−0.389243	+	0.488095i
$738$	−45.4864	−	21.9051i	−1.67438	−	0.806337i
$739$	−6.87480	−	30.1204i	−0.252893	−	1.10800i	−0.928674	−	0.370896i	$-0.879051\pi$
$739$	−6.87480	−	30.1204i	−0.252893	−	1.10800i	0.675781	−	0.737103i	$-0.263807\pi$
$740$	176.170	+	84.8392i	6.47615	+	3.11875i
$741$	−16.3191	+	7.85885i	−0.599496	+	0.288702i
$742$	−8.03817	+	15.0843i	−0.295091	+	0.553761i
$743$	3.50619	+	1.68849i	0.128630	+	0.0619447i	0.497092	−	0.867698i	$-0.334401\pi$
$743$	3.50619	+	1.68849i	0.128630	+	0.0619447i	−0.368462	+	0.929643i	$0.620116\pi$
$744$	−5.47820	−	6.86945i	−0.200841	−	0.251846i
$745$	14.5554	−	7.00951i	0.533268	−	0.256808i
$746$	15.4606	−	19.3870i	0.566053	−	0.709808i
$747$	3.60557	−	15.7970i	0.131921	−	0.577983i
$748$	10.6542	−	13.3600i	0.389558	−	0.488490i
$749$	10.0557	−	7.36862i	0.367427	−	0.269244i
$750$	−132.936	−	166.696i	−4.85412	−	6.08688i
$751$	18.8159	−	9.06128i	0.686604	−	0.330651i	−0.0578498	−	0.998325i	$-0.518424\pi$
$751$	18.8159	−	9.06128i	0.686604	−	0.330651i	0.744453	+	0.667674i	$0.232710\pi$
$752$	8.06706	−	35.3441i	0.294175	−	1.28887i
$753$	17.0626			0.621794
$754$	6.14192			0.223675
$755$	−9.79884	+	42.9315i	−0.356616	+	1.56244i
$756$	−9.30656	−	21.5308i	−0.338476	−	0.783068i
$757$	2.57282	+	11.2722i	0.0935106	+	0.409697i	0.999919	−	0.0127051i	$-0.00404426\pi$
$757$	2.57282	+	11.2722i	0.0935106	+	0.409697i	−0.906409	+	0.422402i	$0.861187\pi$
$758$	1.12958	+	4.94900i	0.0410281	+	0.179756i
$759$	0.984247	+	1.23421i	0.0357259	+	0.0447989i
$760$	−107.957	−	135.373i	−3.91599	−	4.91050i
$761$	−1.06975	−	4.68687i	−0.0387783	−	0.169899i	0.951831	−	0.306624i	$-0.0991994\pi$
$761$	−1.06975	−	4.68687i	−0.0387783	−	0.169899i	−0.990609	+	0.136725i	$0.956342\pi$
$762$	25.9495	+	113.692i	0.940050	+	4.11863i
$763$	13.5357	+	11.7290i	0.490027	+	0.424619i
$764$	−5.48234	+	24.0197i	−0.198344	+	0.869002i
$765$	−20.8240			−0.752893
$766$	−63.2462			−2.28518
$767$	−2.51312	+	11.0107i	−0.0907435	+	0.397573i
$768$	−73.7898	+	35.5353i	−2.66266	+	1.28227i
$769$	−9.54594	−	11.9702i	−0.344235	−	0.431657i	0.579333	−	0.815091i	$-0.303313\pi$
$769$	−9.54594	−	11.9702i	−0.344235	−	0.431657i	−0.923569	+	0.383433i	$0.874742\pi$
$770$	81.3877	+	22.1054i	2.93301	+	0.796624i
$771$	16.7176	−	20.9632i	0.602068	−	0.754970i
$772$	−10.5410	+	46.1833i	−0.379380	+	1.66217i
$773$	16.3937	−	20.5570i	0.589639	−	0.739384i	−0.394084	−	0.919074i	$-0.628938\pi$
$773$	16.3937	−	20.5570i	0.589639	−	0.739384i	0.983723	+	0.179690i	$0.0575096\pi$
$774$	−77.6979	+	37.4173i	−2.79279	+	1.34494i
$775$	−4.52343	−	5.67220i	−0.162486	−	0.203751i
$776$	17.9434	+	8.64110i	0.644131	+	0.310197i
$777$	55.6401	+	48.2133i	1.99608	+	1.72964i
$778$	9.69336	−	4.66808i	0.347524	−	0.167359i
$779$	−33.1909	−	15.9839i	−1.18919	−	0.572682i
$780$	−10.6060	−	46.4678i	−0.379754	−	1.66381i
$781$	−34.8510	−	16.7834i	−1.24707	−	0.600556i
$782$	0.414253	−	0.519457i	0.0148137	−	0.0185757i
$783$	4.97119			0.177656
$784$	40.5476	−	15.5956i	1.44813	−	0.556985i
$785$	69.3272			2.47439
$786$	−3.35280	+	4.20428i	−0.119591	+	0.149962i
$787$	−29.0302	−	13.9802i	−1.03482	−	0.498341i	−0.162205	−	0.986757i	$-0.551861\pi$
$787$	−29.0302	−	13.9802i	−1.03482	−	0.498341i	−0.872611	+	0.488416i	$0.837575\pi$
$788$	17.2681	+	75.6566i	0.615151	+	2.69515i
$789$	71.7664	+	34.5609i	2.55495	+	1.23040i
$790$	155.760	−	75.0102i	5.54171	−	2.66874i
$791$	13.2263	−	9.69195i	0.470272	−	0.344606i
$792$	60.5905	+	29.1789i	2.15299	+	1.03683i
$793$	−4.83538	−	6.06337i	−0.171709	−	0.215317i
$794$	−9.15585	+	4.40922i	−0.324929	+	0.156478i
$795$	−17.5271	+	21.9783i	−0.621623	+	0.779490i
$796$	13.4670	−	59.0027i	0.477324	−	2.09129i
$797$	10.3752	−	13.0101i	0.367507	−	0.460840i	−0.563352	−	0.826217i	$-0.690489\pi$
$797$	10.3752	−	13.0101i	0.367507	−	0.460840i	0.930860	+	0.365377i	$0.119060\pi$
$798$	−47.9040	−	110.826i	−1.69578	−	3.92321i
$799$	−4.76272	−	5.97226i	−0.168493	−	0.211284i
$800$	43.6274	−	21.0099i	1.54246	−	0.742811i
$801$	−0.765440	+	3.35361i	−0.0270455	+	0.118494i
$802$	−15.9116			−0.561859
$803$	−25.3517			−0.894643
$804$	−14.2074	+	62.2465i	−0.501055	+	2.19527i
$805$	2.16741	+	0.588683i	0.0763912	+	0.0207483i
$806$	−0.319780	−	1.40105i	−0.0112638	−	0.0493498i
$807$	5.52592	+	24.2106i	0.194522	+	0.852255i
$808$	−21.4517	−	26.8996i	−0.754670	−	0.946326i
$809$	2.39643	+	3.00502i	0.0842538	+	0.105651i	0.822172	−	0.569240i	$-0.192762\pi$
$809$	2.39643	+	3.00502i	0.0842538	+	0.105651i	−0.737918	+	0.674890i	$0.764191\pi$
$810$	14.2492	+	62.4299i	0.500666	+	2.19356i
$811$	7.98445	+	34.9822i	0.280372	+	1.22839i	0.897318	+	0.441384i	$0.145512\pi$
$811$	7.98445	+	34.9822i	0.280372	+	1.22839i	−0.616946	+	0.787005i	$0.711630\pi$
$812$	−1.14401	+	28.0178i	−0.0401469	+	0.983232i
$813$	−6.79382	+	29.7657i	−0.238270	+	1.04393i
$814$	−80.9090			−2.83586
$815$	−79.1462			−2.77237
$816$	4.70343	−	20.6071i	0.164653	−	0.721392i
$817$	−56.6953	+	27.3030i	−1.98352	+	0.955211i
$818$	−54.9021	−	68.8451i	−1.91961	−	2.40711i
$819$	0.408336	−	10.0005i	0.0142684	−	0.349445i
$820$	60.4411	−	75.7907i	2.11069	−	2.64673i
$821$	7.46741	−	32.7169i	0.260614	−	1.14183i	−0.659973	−	0.751289i	$-0.729432\pi$
$821$	7.46741	−	32.7169i	0.260614	−	1.14183i	0.920587	−	0.390537i	$-0.127711\pi$
$822$	−31.4695	+	39.4614i	−1.09762	+	1.37638i
$823$	22.5368	−	10.8532i	0.785585	−	0.378318i	0.00231328	−	0.999997i	$-0.499264\pi$
$823$	22.5368	−	10.8532i	0.785585	−	0.378318i	0.783272	+	0.621680i	$0.213549\pi$
$824$	−7.72292	−	9.68424i	−0.269041	−	0.337367i
$825$	89.7059	+	43.2001i	3.12316	+	1.50403i
$826$	−72.6507	−	19.7324i	−2.52784	−	0.686577i
$827$	−44.2258	+	21.2980i	−1.53788	+	0.740605i	−0.995063	−	0.0992453i	$-0.968357\pi$
$827$	−44.2258	+	21.2980i	−1.53788	+	0.740605i	−0.542818	+	0.839850i	$0.682643\pi$
$828$	2.98824	+	1.43906i	0.103848	+	0.0500108i
$829$	11.6798	+	51.1727i	0.405658	+	1.77730i	0.603807	+	0.797131i	$0.293650\pi$
$829$	11.6798	+	51.1727i	0.405658	+	1.77730i	−0.198149	+	0.980172i	$0.563493\pi$
$830$	40.9265	+	19.7092i	1.42058	+	0.684116i
$831$	−28.9595	+	36.3141i	−1.00460	+	1.25972i
$832$	−2.82079			−0.0977933
$833$	2.75773	−	8.72861i	0.0955497	−	0.302428i
$834$	−45.1974			−1.56506
$835$	26.9564	−	33.8022i	0.932864	−	1.16977i
$836$	81.8786	+	39.4307i	2.83183	+	1.36374i
$837$	−0.258826	−	1.13399i	−0.00894634	−	0.0391965i
$838$	2.70967	+	1.30491i	0.0936039	+	0.0450773i
$839$	26.1272	−	12.5822i	0.902010	−	0.434385i	0.0753956	−	0.997154i	$-0.475978\pi$
$839$	26.1272	−	12.5822i	0.902010	−	0.434385i	0.826615	+	0.562769i	$0.190264\pi$
$840$	168.672	−	31.3193i	5.81974	−	1.08062i
$841$	20.7737	+	10.0041i	0.716334	+	0.344969i
$842$	59.7103	+	74.8744i	2.05775	+	2.58034i
$843$	−72.1767	+	34.7585i	−2.48590	+	1.19714i
$844$	49.1414	−	61.6213i	1.69152	−	2.12109i
$845$	0.936685	−	4.10389i	0.0322229	−	0.141178i
$846$	34.7124	−	43.5280i	1.19344	−	1.49652i
$847$	5.11422	−	0.949615i	0.175727	−	0.0326292i
$848$	−9.92210	−	12.4419i	−0.340726	−	0.427257i
$849$	24.6267	−	11.8596i	0.845186	−	0.407020i
$850$	9.32489	−	40.8550i	0.319841	−	1.40132i
$851$	−2.15466			−0.0738609
$852$	−145.721			−4.99233
$853$	−3.97400	+	17.4112i	−0.136067	+	0.596149i	0.860210	+	0.509940i	$0.170332\pi$
$853$	−3.97400	+	17.4112i	−0.136067	+	0.596149i	−0.996277	+	0.0862092i	$0.972525\pi$
$854$	41.6986	−	30.5559i	1.42690	−	1.04560i
$855$	−24.6435	−	107.970i	−0.842791	−	3.69251i
$856$	6.20138	+	27.1700i	0.211959	+	0.928652i
$857$	14.0149	+	17.5742i	0.478741	+	0.600322i	0.961287	−	0.275548i	$-0.0888594\pi$
$857$	14.0149	+	17.5742i	0.478741	+	0.600322i	−0.482546	+	0.875870i	$0.660288\pi$
$858$	12.2965	+	15.4194i	0.419797	+	0.526408i
$859$	−0.747051	−	3.27304i	−0.0254890	−	0.111675i	0.960583	−	0.277993i	$-0.0896692\pi$
$859$	−0.747051	−	3.27304i	−0.0254890	−	0.111675i	−0.986072	+	0.166318i	$0.946812\pi$
$860$	−36.8470	−	161.437i	−1.25647	−	5.50496i
$861$	29.4416	−	21.5742i	1.00337	−	0.735247i
$862$	−12.5868	+	55.1463i	−0.428708	+	1.87829i
$863$	29.4346			1.00196			0.500982	−	0.865458i	$-0.332972\pi$
$863$	29.4346			1.00196			0.500982	+	0.865458i	$0.332972\pi$
$864$	7.76334			0.264114
$865$	9.28554	−	40.6826i	0.315718	−	1.38325i
$866$	15.6894	−	7.55562i	0.533148	−	0.256751i
$867$	24.8282	+	31.1336i	0.843209	+	1.05735i
$868$	6.45077	−	1.19779i	0.218953	−	0.0406556i
$869$	−30.5485	+	38.3066i	−1.03629	+	1.29946i
$870$	−14.9833	+	65.6462i	−0.507982	+	2.22561i
$871$	−3.51573	+	4.40858i	−0.119126	+	0.149379i
$872$	−36.0737	+	17.3722i	−1.22161	+	0.588295i
$873$	7.94213	+	9.95912i	0.268800	+	0.337065i
$874$	3.18357	+	1.53312i	0.107686	+	0.0518587i
$875$	84.5253	−	15.6948i	2.85748	−	0.530580i
$876$	−86.0468	+	41.4380i	−2.90725	+	1.40006i
$877$	−27.6797	−	13.3298i	−0.934677	−	0.450117i	−0.0963884	−	0.995344i	$-0.530729\pi$
$877$	−27.6797	−	13.3298i	−0.934677	−	0.450117i	−0.838288	+	0.545227i	$0.816443\pi$
$878$	−11.1828	−	48.9952i	−0.377402	−	1.65351i
$879$	53.3320	+	25.6833i	1.79884	+	0.866277i
$880$	−48.9573	+	61.3905i	−1.65035	+	2.06947i
$881$	−55.4511			−1.86820			−0.934098	−	0.357018i	$-0.883794\pi$
$881$	−55.4511			−1.86820			−0.934098	+	0.357018i	$0.883794\pi$
$882$	66.4948	+	5.43925i	2.23900	+	0.183149i
$883$	−43.8827			−1.47677			−0.738386	−	0.674378i	$-0.764412\pi$
$883$	−43.8827			−1.47677			−0.738386	+	0.674378i	$0.764412\pi$
$884$	3.54473	−	4.44495i	0.119222	−	0.149500i
$885$	−111.554	−	53.7216i	−3.74985	−	1.80583i
$886$	5.32646	+	23.3368i	0.178946	+	0.784014i
$887$	41.8884	+	20.1724i	1.40647	+	0.677322i	0.974463	−	0.224546i	$-0.0720900\pi$
$887$	41.8884	+	20.1724i	1.40647	+	0.677322i	0.432011	+	0.901868i	$0.357804\pi$
$888$	−148.284	+	71.4100i	−4.97610	+	2.39636i
$889$	−45.3771	−	12.3247i	−1.52190	−	0.413358i
$890$	−8.68846	−	4.18414i	−0.291238	−	0.140253i
$891$	−11.3152	−	14.1888i	−0.379073	−	0.475343i
$892$	−10.1625	+	4.89401i	−0.340266	+	0.163863i
$893$	25.3293	−	31.7619i	0.847612	−	1.06287i
$894$	−5.60372	+	24.5515i	−0.187416	+	0.821125i
$895$	−4.48224	+	5.62055i	−0.149825	+	0.187874i
$896$	1.58898	−	38.9154i	0.0530841	−	1.30007i
$897$	0.327465	+	0.410628i	0.0109337	+	0.0137105i
$898$	23.7179	−	11.4219i	0.791475	−	0.381155i
$899$	−0.309420	+	1.35566i	−0.0103197	+	0.0452137i
$900$	209.190			6.97302
$901$	−3.35317			−0.111710
$902$	−8.92581	+	39.1065i	−0.297197	+	1.30211i
$903$	2.54364	−	62.2959i	0.0846471	−	2.07308i
$904$	8.15667	+	35.7367i	0.271287	+	1.18859i
$905$	7.42537	+	32.5327i	0.246828	+	1.08142i
$906$	−42.7981	−	53.6671i	−1.42187	−	1.78297i
$907$	21.8409	+	27.3876i	0.725214	+	0.909389i	0.998620	−	0.0525093i	$-0.0167219\pi$
$907$	21.8409	+	27.3876i	0.725214	+	0.909389i	−0.273407	+	0.961899i	$0.588150\pi$
$908$	−0.637396	−	2.79262i	−0.0211527	−	0.0926762i
$909$	−4.89685	−	21.4545i	−0.162418	−	0.711600i
$910$	27.0782	+	7.35461i	0.897634	+	0.243803i
$911$	−11.1103	+	48.6776i	−0.368102	+	1.61276i	0.363886	+	0.931444i	$0.381450\pi$
$911$	−11.1103	+	48.6776i	−0.368102	+	1.61276i	−0.731988	+	0.681318i	$0.761407\pi$
$912$	112.412			3.72232
$913$	−12.8738			−0.426062
$914$	2.99864	−	13.1379i	0.0991862	−	0.434563i
$915$	76.6026	−	36.8899i	2.53240	−	1.21954i
$916$	−58.4275	−	73.2658i	−1.93050	−	2.42077i
$917$	−0.860295	−	1.99030i	−0.0284094	−	0.0657255i
$918$	4.18891	−	5.25273i	0.138255	−	0.173366i
$919$	9.27915	−	40.6546i	0.306091	−	1.34107i	−0.554673	−	0.832068i	$-0.687157\pi$
$919$	9.27915	−	40.6546i	0.306091	−	1.34107i	0.860764	−	0.509004i	$-0.169986\pi$
$920$	−3.13039	+	3.92539i	−0.103206	+	0.129416i
$921$	6.82654	−	3.28749i	0.224942	−	0.108326i
$922$	24.5842	+	30.8277i	0.809639	+	1.01525i
$923$	−11.5951	−	5.58393i	−0.381659	−	0.183797i
$924$	−72.6294	+	53.2214i	−2.38933	+	1.75086i
$925$	−122.441	+	58.9643i	−4.02582	+	1.93873i
$926$	34.6752	+	16.6987i	1.13950	+	0.548753i
$927$	−1.76293	−	7.72391i	−0.0579023	−	0.253687i
$928$	−8.36177	−	4.02682i	−0.274489	−	0.132187i
$929$	8.13132	−	10.1964i	0.266780	−	0.334532i	−0.630339	−	0.776320i	$-0.717084\pi$
$929$	8.13132	−	10.1964i	0.266780	−	0.334532i	0.897119	+	0.441788i	$0.145656\pi$
$930$	15.7548			0.516621
$931$	48.5205	+	3.96896i	1.59019	+	0.130077i
$932$	8.74865			0.286572
$933$	12.3300	−	15.4613i	0.403666	−	0.506182i
$934$	86.5950	+	41.7019i	2.83347	+	1.36453i
$935$	3.68163	+	16.1303i	0.120402	+	0.527517i
$936$	20.1588	+	9.70798i	0.658912	+	0.317315i
$937$	9.50917	−	4.57938i	0.310651	−	0.149602i	−0.272062	−	0.962280i	$-0.587705\pi$
$937$	9.50917	−	4.57938i	0.310651	−	0.149602i	0.582713	+	0.812678i	$0.301991\pi$
$938$	−28.4062	−	24.6146i	−0.927495	−	0.803694i
$939$	−70.3470	−	33.8774i	−2.29569	−	1.10555i
$940$	66.6525	+	83.5796i	2.17397	+	2.72607i
$941$	17.7454	−	8.54573i	0.578483	−	0.278583i	−0.121676	−	0.992570i	$-0.538827\pi$
$941$	17.7454	−	8.54573i	0.578483	−	0.278583i	0.700159	+	0.713987i	$0.253113\pi$
$942$	−67.3790	+	84.4905i	−2.19533	+	2.75285i
$943$	−0.237700	+	1.04143i	−0.00774059	+	0.0339138i
$944$	43.7017	−	54.8001i	1.42237	−	1.78359i
$945$	21.9168	+	5.95273i	0.712952	+	0.193642i
$946$	42.7203	+	53.5696i	1.38896	+	1.74170i
$947$	−41.1309	+	19.8076i	−1.33657	+	0.643660i	−0.959286	−	0.282436i	$-0.908857\pi$
$947$	−41.1309	+	19.8076i	−1.33657	+	0.643660i	−0.377287	+	0.926096i	$0.623143\pi$
$948$	−41.0722	+	179.949i	−1.33396	+	5.84448i
$949$	−8.43468			−0.273801
$950$	222.864			7.23067
$951$	4.92274	−	21.5679i	0.159631	−	0.699388i
$952$	15.4651	+	13.4008i	0.501227	+	0.434323i
$953$	−3.56377	−	15.6139i	−0.115442	−	0.505784i	−0.999278	−	0.0379875i	$-0.987905\pi$
$953$	−3.56377	−	15.6139i	−0.115442	−	0.505784i	0.883836	−	0.467796i	$-0.154952\pi$
$954$	−5.43822	−	23.8264i	−0.176069	−	0.771408i
$955$	−14.8731	−	18.6503i	−0.481282	−	0.603508i
$956$	52.9859	+	66.4422i	1.71369	+	2.14890i
$957$	−4.24640	−	18.6047i	−0.137267	−	0.601404i
$958$	2.39668	+	10.5005i	0.0774331	+	0.339257i
$959$	−8.07474	−	18.6810i	−0.260747	−	0.603241i
$960$	6.88136	−	30.1492i	0.222095	−	0.973062i
$961$	−30.6746			−0.989505
$962$	−26.9189			−0.867901
$963$	−3.96644	+	17.3781i	−0.127817	+	0.560001i
$964$	−67.4055	+	32.4608i	−2.17098	+	1.04549i
$965$	−28.5968	−	35.8593i	−0.920565	−	1.15435i
$966$	−2.82394	+	2.06933i	−0.0908588	+	0.0665796i
$967$	31.5032	−	39.5037i	1.01307	−	1.27035i	0.0506745	−	0.998715i	$-0.483863\pi$
$967$	31.5032	−	39.5037i	1.01307	−	1.27035i	0.962399	−	0.271639i	$-0.0875657\pi$
$968$	−2.58752	+	11.3367i	−0.0831659	+	0.364374i
$969$	14.7680	−	18.5185i	0.474417	−	0.594900i
$970$	−32.1744	+	15.4944i	−1.03306	+	0.497494i
$971$	−26.9144	−	33.7496i	−0.863725	−	1.08308i	−0.995774	−	0.0918342i	$-0.970727\pi$
$971$	−26.9144	−	33.7496i	−0.863725	−	1.08308i	0.132049	−	0.991243i	$-0.457844\pi$
$972$	−85.5599	−	41.2035i	−2.74433	−	1.32160i
$973$	8.57048	−	16.0832i	0.274757	−	0.515603i
$974$	−8.34823	+	4.02030i	−0.267495	+	0.128819i
$975$	29.8457	+	14.3729i	0.955827	+	0.460302i
$976$	10.7102	+	46.9245i	0.342825	+	1.50202i
$977$	−33.6675	−	16.2134i	−1.07712	−	0.518713i	−0.190725	−	0.981644i	$-0.561084\pi$
$977$	−33.6675	−	16.2134i	−1.07712	−	0.518713i	−0.886395	+	0.462930i	$0.846798\pi$
$978$	76.9220	−	96.4571i	2.45969	−	3.08436i
$979$	2.73304			0.0873483
$980$	−38.5934	+	122.154i	−1.23282	+	3.90205i
$981$	−25.6090			−0.817632
$982$	25.5100	−	31.9885i	0.814057	−	1.02080i
$983$	20.3533	+	9.80163i	0.649169	+	0.312623i	0.729334	−	0.684158i	$-0.239830\pi$
$983$	20.3533	+	9.80163i	0.649169	+	0.312623i	−0.0801645	+	0.996782i	$0.525545\pi$
$984$	18.1567	+	79.5496i	0.578814	+	2.53595i
$985$	−67.6956	−	32.6005i	−2.15696	−	1.03874i
$986$	−7.23638	+	3.48486i	−0.230453	+	0.110980i
$987$	15.9702	+	36.9473i	0.508338	+	1.17604i
$988$	27.2415	+	13.1188i	0.866668	+	0.417365i
$989$	1.13767	+	1.42659i	0.0361758	+	0.0453630i
$990$	−108.645	+	52.3206i	−3.45296	+	1.66286i
$991$	−23.5393	+	29.5173i	−0.747749	+	0.937648i	−0.999546	−	0.0301323i	$-0.990407\pi$
$991$	−23.5393	+	29.5173i	−0.747749	+	0.937648i	0.251797	+	0.967780i	$0.418979\pi$
$992$	−0.483210	+	2.11708i	−0.0153419	+	0.0672174i
$993$	−24.1436	+	30.2751i	−0.766174	+	0.960752i
$994$	40.3437	−	75.7081i	1.27962	−	2.40132i
$995$	36.5347	+	45.8130i	1.15823	+	1.45237i
$996$	−43.6954	+	21.0426i	−1.38454	+	0.666759i
$997$	10.3206	−	45.2173i	0.326855	−	1.43205i	−0.498234	−	0.867043i	$-0.666018\pi$
$997$	10.3206	−	45.2173i	0.326855	−	1.43205i	0.825089	−	0.565003i	$-0.191125\pi$
$998$	−0.0764328			−0.00241944
$999$	−21.7879			−0.689337

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.92.2	✓	174
49.8	even	7	inner	637.2.w.b.547.2	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.2	✓	174	1.1	even	1	trivial
637.2.w.b.547.2	yes	174	49.8	even	7	inner

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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.57084 + 1.96978i) q^{2} +(2.34650 + 1.13001i) q^{3} +(-0.967425 - 4.23856i) q^{4} +(3.79256 + 1.82640i) q^{5} +(-5.91185 + 2.84700i) q^{6} +(0.107940 - 2.64355i) q^{7} +(5.32882 + 2.56623i) q^{8} +(2.35865 + 2.95765i) q^{9} +O(q^{10})\)	\(q+(-1.57084 + 1.96978i) q^{2} +(2.34650 + 1.13001i) q^{3} +(-0.967425 - 4.23856i) q^{4} +(3.79256 + 1.82640i) q^{5} +(-5.91185 + 2.84700i) q^{6} +(0.107940 - 2.64355i) q^{7} +(5.32882 + 2.56623i) q^{8} +(2.35865 + 2.95765i) q^{9} +(-9.55512 + 4.60150i) q^{10} +(1.87400 - 2.34992i) q^{11} +(2.51958 - 11.0390i) q^{12} +(0.623490 - 0.781831i) q^{13} +(5.03764 + 4.36522i) q^{14} +(6.83537 + 8.57129i) q^{15} +(-5.59160 + 2.69277i) q^{16} +(-0.290990 + 1.27491i) q^{17} -9.53098 q^{18} -6.95465 q^{19} +(4.07230 - 17.8419i) q^{20} +(3.24053 - 6.08110i) q^{21} +(1.68505 + 7.38270i) q^{22} +(0.0448741 + 0.196606i) q^{23} +(9.60420 + 12.0433i) q^{24} +(7.93033 + 9.94431i) q^{25} +(0.560628 + 2.45627i) q^{26} +(0.453765 + 1.98808i) q^{27} +(-11.3093 + 2.09992i) q^{28} +(0.542464 - 2.37669i) q^{29} -27.6208 q^{30} -0.570396 q^{31} +(0.847148 - 3.71160i) q^{32} +(7.05276 - 3.39643i) q^{33} +(-2.05419 - 2.57587i) q^{34} +(5.23755 - 9.82868i) q^{35} +(10.2544 - 12.8586i) q^{36} +(-2.37752 + 10.4166i) q^{37} +(10.9247 - 13.6991i) q^{38} +(2.34650 - 1.13001i) q^{39} +(15.5229 + 19.4651i) q^{40} +(4.77248 + 2.29830i) q^{41} +(6.88805 + 15.9356i) q^{42} +(8.15214 - 3.92586i) q^{43} +(-11.7732 - 5.66968i) q^{44} +(3.54346 + 15.5249i) q^{45} +(-0.457761 - 0.220446i) q^{46} +(-3.64206 + 4.56701i) q^{47} -16.1635 q^{48} +(-6.97670 - 0.570691i) q^{49} -32.0454 q^{50} +(-2.12347 + 2.66275i) q^{51} +(-3.91702 - 1.88634i) q^{52} +(0.570583 + 2.49989i) q^{53} +(-4.62886 - 2.22914i) q^{54} +(11.3991 - 5.48953i) q^{55} +(7.35914 - 13.8100i) q^{56} +(-16.3191 - 7.85885i) q^{57} +(3.82942 + 4.80194i) q^{58} +(-10.1754 + 4.90022i) q^{59} +(29.7172 - 37.2643i) q^{60} +(1.72573 - 7.56090i) q^{61} +(0.896004 - 1.12355i) q^{62} +(8.07329 - 5.91595i) q^{63} +(-1.75873 - 2.20538i) q^{64} +(3.79256 - 1.82640i) q^{65} +(-4.38858 + 19.2276i) q^{66} -5.63879 q^{67} +5.68531 q^{68} +(-0.116871 + 0.512045i) q^{69} +(11.1329 + 25.7561i) q^{70} +(-2.86376 - 12.5470i) q^{71} +(4.97882 + 21.8136i) q^{72} +(-5.25894 - 6.59450i) q^{73} +(-16.7837 - 21.0461i) q^{74} +(7.37128 + 32.2957i) q^{75} +(6.72810 + 29.4777i) q^{76} +(-6.00984 - 5.20765i) q^{77} +(-1.46011 + 6.39715i) q^{78} -16.3012 q^{79} -26.1245 q^{80} +(1.34358 - 5.88662i) q^{81} +(-12.0240 + 5.79043i) q^{82} +(-2.67054 - 3.34875i) q^{83} +(-28.9101 - 7.85217i) q^{84} +(-3.43210 + 4.30371i) q^{85} +(-5.07267 + 22.2248i) q^{86} +(3.95858 - 4.96391i) q^{87} +(16.0166 - 7.71319i) q^{88} +(0.566938 + 0.710918i) q^{89} +(-36.1468 - 17.4074i) q^{90} +(-1.99951 - 1.73262i) q^{91} +(0.789917 - 0.380404i) q^{92} +(-1.33843 - 0.644556i) q^{93} +(-3.27486 - 14.3481i) q^{94} +(-26.3759 - 12.7020i) q^{95} +(6.18198 - 7.75196i) q^{96} +3.36724 q^{97} +(12.0834 - 12.8461i) q^{98} +11.3703 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

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