LMFDB - Embedded newform 637.2.w.b.547.9

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			547.9
Character	$\chi$	$=$	637.547
Dual form			637.2.w.b.92.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.807700 - 1.01282i) q^{2} +(-2.74330 + 1.32111i) q^{3} +(0.0716088 - 0.313739i) q^{4} +(2.02464 - 0.975017i) q^{5} +(3.55382 + 1.71143i) q^{6} +(0.327305 - 2.62543i) q^{7} +(-2.70992 + 1.30503i) q^{8} +(3.90993 - 4.90289i) q^{9} +O(q^{10})$	\(q+(-0.807700 - 1.01282i) q^{2} +(-2.74330 + 1.32111i) q^{3} +(0.0716088 - 0.313739i) q^{4} +(2.02464 - 0.975017i) q^{5} +(3.55382 + 1.71143i) q^{6} +(0.327305 - 2.62543i) q^{7} +(-2.70992 + 1.30503i) q^{8} +(3.90993 - 4.90289i) q^{9} +(-2.62283 - 1.26309i) q^{10} +(0.920319 + 1.15404i) q^{11} +(0.218037 + 0.955283i) q^{12} +(0.623490 + 0.781831i) q^{13} +(-2.92346 + 1.78906i) q^{14} +(-4.26611 + 5.34954i) q^{15} +(2.93069 + 1.41135i) q^{16} +(-0.687909 - 3.01393i) q^{17} -8.12382 q^{18} +8.01334 q^{19} +(-0.160918 - 0.705029i) q^{20} +(2.57057 + 7.63475i) q^{21} +(0.425501 - 1.86424i) q^{22} +(-0.871587 + 3.81867i) q^{23} +(5.71006 - 7.16019i) q^{24} +(0.0310749 - 0.0389667i) q^{25} +(0.288265 - 1.26297i) q^{26} +(-2.21626 + 9.71006i) q^{27} +(-0.800260 - 0.290692i) q^{28} +(-2.13245 - 9.34287i) q^{29} +8.86388 q^{30} -0.571629 q^{31} +(0.400915 + 1.75653i) q^{32} +(-4.04933 - 1.95005i) q^{33} +(-2.49695 + 3.13108i) q^{34} +(-1.89716 - 5.63468i) q^{35} +(-1.25824 - 1.57779i) q^{36} +(-1.03389 - 4.52979i) q^{37} +(-6.47238 - 8.11610i) q^{38} +(-2.74330 - 1.32111i) q^{39} +(-4.21420 + 5.28444i) q^{40} +(4.62696 - 2.22822i) q^{41} +(5.65641 - 8.77013i) q^{42} +(-6.68214 - 3.21795i) q^{43} +(0.427971 - 0.206100i) q^{44} +(3.13580 - 13.7389i) q^{45} +(4.57162 - 2.20158i) q^{46} +(-4.13030 - 5.17923i) q^{47} -9.90433 q^{48} +(-6.78574 - 1.71863i) q^{49} -0.0645656 q^{50} +(5.86886 + 7.35932i) q^{51} +(0.289938 - 0.139627i) q^{52} +(0.0492321 - 0.215700i) q^{53} +(11.6247 - 5.59814i) q^{54} +(2.98853 + 1.43920i) q^{55} +(2.53929 + 7.54185i) q^{56} +(-21.9830 + 10.5865i) q^{57} +(-7.74031 + 9.70604i) q^{58} +(-9.48023 - 4.56544i) q^{59} +(1.37287 + 1.72152i) q^{60} +(-2.08561 - 9.13766i) q^{61} +(0.461705 + 0.578960i) q^{62} +(-11.5925 - 11.8700i) q^{63} +(5.51144 - 6.91113i) q^{64} +(2.02464 + 0.975017i) q^{65} +(1.29558 + 5.67632i) q^{66} +2.01084 q^{67} -0.994846 q^{68} +(-2.65384 - 11.6272i) q^{69} +(-4.17461 + 6.47263i) q^{70} +(-3.29304 + 14.4277i) q^{71} +(-4.19718 + 18.3890i) q^{72} +(10.4056 - 13.0481i) q^{73} +(-3.75280 + 4.70587i) q^{74} +(-0.0337688 + 0.147951i) q^{75} +(0.573826 - 2.51409i) q^{76} +(3.33108 - 2.03851i) q^{77} +(0.877720 + 3.84554i) q^{78} -4.15138 q^{79} +7.30970 q^{80} +(-2.56184 - 11.2241i) q^{81} +(-5.99399 - 2.88656i) q^{82} +(-1.02639 + 1.28705i) q^{83} +(2.57939 - 0.259772i) q^{84} +(-4.33140 - 5.43141i) q^{85} +(2.13795 + 9.36697i) q^{86} +(18.1929 + 22.8131i) q^{87} +(-4.00005 - 1.92632i) q^{88} +(-1.42108 + 1.78197i) q^{89} +(-16.4478 + 7.92086i) q^{90} +(2.25671 - 1.38103i) q^{91} +(1.13565 + 0.546901i) q^{92} +(1.56815 - 0.755183i) q^{93} +(-1.90961 + 8.36653i) q^{94} +(16.2242 - 7.81314i) q^{95} +(-3.42039 - 4.28903i) q^{96} -2.98125 q^{97} +(3.74017 + 8.26091i) q^{98} +9.25653 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 $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{6}{7}\right)$

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 $

$2$	−0.807700	−	1.01282i	−0.571130	−	0.716175i	0.409441	−	0.912337i	$-0.365724\pi$
$2$	−0.807700	−	1.01282i	−0.571130	−	0.716175i	−0.980572	+	0.196162i	$0.937152\pi$
$3$	−2.74330	+	1.32111i	−1.58385	+	0.762741i	−0.998834	−	0.0482829i	$-0.984625\pi$
$3$	−2.74330	+	1.32111i	−1.58385	+	0.762741i	−0.585014	+	0.811024i	$0.698911\pi$
$4$	0.0716088	−	0.313739i	0.0358044	−	0.156869i
$5$	2.02464	−	0.975017i	0.905448	−	0.436041i	0.0775945	−	0.996985i	$-0.475276\pi$
$5$	2.02464	−	0.975017i	0.905448	−	0.436041i	0.827854	+	0.560944i	$0.189562\pi$
$6$	3.55382	+	1.71143i	1.45084	+	0.698687i
$7$	0.327305	−	2.62543i	0.123710	−	0.992318i
$7$	0.327305	−	2.62543i	0.123710	−	0.992318i
$8$	−2.70992	+	1.30503i	−0.958102	+	0.461398i
$9$	3.90993	−	4.90289i	1.30331	−	1.63430i
$10$	−2.62283	−	1.26309i	−0.829411	−	0.399423i
$11$	0.920319	+	1.15404i	0.277487	+	0.347957i	0.900972	−	0.433878i	$-0.142855\pi$
$11$	0.920319	+	1.15404i	0.277487	+	0.347957i	−0.623485	+	0.781835i	$0.714284\pi$
$12$	0.218037	+	0.955283i	0.0629419	+	0.275767i
$13$	0.623490	+	0.781831i	0.172925	+	0.216841i
$13$	0.623490	+	0.781831i	0.172925	+	0.216841i
$14$	−2.92346	+	1.78906i	−0.781328	+	0.478145i
$15$	−4.26611	+	5.34954i	−1.10151	+	1.38124i
$16$	2.93069	+	1.41135i	0.732674	+	0.352837i
$17$	−0.687909	−	3.01393i	−0.166843	−	0.730985i	−0.987246	−	0.159200i	$-0.949108\pi$
$17$	−0.687909	−	3.01393i	−0.166843	−	0.730985i	0.820404	−	0.571785i	$-0.193749\pi$
$18$	−8.12382			−1.91480
$19$	8.01334			1.83839			0.919193	−	0.393807i	$-0.128842\pi$
$19$	8.01334			1.83839			0.919193	+	0.393807i	$0.128842\pi$
$20$	−0.160918	−	0.705029i	−0.0359824	−	0.157649i
$21$	2.57057	+	7.63475i	0.560944	+	1.66604i
$22$	0.425501	−	1.86424i	0.0907172	−	0.397458i
$23$	−0.871587	+	3.81867i	−0.181738	+	0.796248i	0.799064	+	0.601245i	$0.205329\pi$
$23$	−0.871587	+	3.81867i	−0.181738	+	0.796248i	−0.980803	+	0.195002i	$0.937529\pi$
$24$	5.71006	−	7.16019i	1.16556	−	1.46157i
$25$	0.0310749	−	0.0389667i	0.00621498	−	0.00779333i
$26$	0.288265	−	1.26297i	0.0565334	−	0.247689i
$27$	−2.21626	+	9.71006i	−0.426519	+	1.86870i
$28$	−0.800260	−	0.290692i	−0.151235	−	0.0549356i
$29$	−2.13245	−	9.34287i	−0.395986	−	1.73493i	−0.642955	−	0.765904i	$-0.722292\pi$
$29$	−2.13245	−	9.34287i	−0.395986	−	1.73493i	0.246969	−	0.969023i	$-0.420566\pi$
$30$	8.86388			1.61832
$31$	−0.571629			−0.102668			−0.0513338	−	0.998682i	$-0.516347\pi$
$31$	−0.571629			−0.102668			−0.0513338	+	0.998682i	$0.516347\pi$
$32$	0.400915	+	1.75653i	0.0708725	+	0.310513i
$33$	−4.04933	−	1.95005i	−0.704897	−	0.339461i
$34$	−2.49695	+	3.13108i	−0.428224	+	0.536976i
$35$	−1.89716	−	5.63468i	−0.320679	−	0.952435i
$36$	−1.25824	−	1.57779i	−0.209707	−	0.262964i
$37$	−1.03389	−	4.52979i	−0.169971	−	0.744693i	−0.986009	−	0.166694i	$-0.946691\pi$
$37$	−1.03389	−	4.52979i	−0.169971	−	0.744693i	0.816037	−	0.577999i	$-0.196166\pi$
$38$	−6.47238	−	8.11610i	−1.04996	−	1.31661i
$39$	−2.74330	−	1.32111i	−0.439280	−	0.211546i
$40$	−4.21420	+	5.28444i	−0.666324	+	0.835543i
$41$	4.62696	−	2.22822i	0.722609	−	0.347990i	−0.0361634	−	0.999346i	$-0.511514\pi$
$41$	4.62696	−	2.22822i	0.722609	−	0.347990i	0.758773	+	0.651356i	$0.225799\pi$
$42$	5.65641	−	8.77013i	0.872803	−	1.35326i
$43$	−6.68214	−	3.21795i	−1.01902	−	0.490733i	−0.151667	−	0.988432i	$-0.548464\pi$
$43$	−6.68214	−	3.21795i	−1.01902	−	0.490733i	−0.867350	+	0.497699i	$0.834178\pi$
$44$	0.427971	−	0.206100i	0.0645191	−	0.0310707i
$45$	3.13580	−	13.7389i	0.467458	−	2.04807i
$46$	4.57162	−	2.20158i	0.674049	−	0.324605i
$47$	−4.13030	−	5.17923i	−0.602466	−	0.755468i	0.383294	−	0.923626i	$-0.374789\pi$
$47$	−4.13030	−	5.17923i	−0.602466	−	0.755468i	−0.985760	+	0.168158i	$0.946218\pi$
$48$	−9.90433			−1.42957
$49$	−6.78574	−	1.71863i	−0.969392	−	0.245519i
$50$	−0.0645656			−0.00913095
$51$	5.86886	+	7.35932i	0.821805	+	1.03051i
$52$	0.289938	−	0.139627i	0.0402072	−	0.0193628i
$53$	0.0492321	−	0.215700i	0.00676255	−	0.0296287i	−0.971434	−	0.237310i	$-0.923734\pi$
$53$	0.0492321	−	0.215700i	0.00676255	−	0.0296287i	0.978197	+	0.207681i	$0.0665916\pi$
$54$	11.6247	−	5.59814i	1.58192	−	0.761810i
$55$	2.98853	+	1.43920i	0.402973	+	0.194062i
$56$	2.53929	+	7.54185i	0.339327	+	1.00782i
$57$	−21.9830	+	10.5865i	−2.91172	+	1.40221i
$58$	−7.74031	+	9.70604i	−1.01635	+	1.27447i
$59$	−9.48023	−	4.56544i	−1.23422	−	0.594370i	−0.300984	−	0.953629i	$-0.597315\pi$
$59$	−9.48023	−	4.56544i	−1.23422	−	0.594370i	−0.933238	+	0.359260i	$0.883029\pi$
$60$	1.37287	+	1.72152i	0.177236	+	0.222247i
$61$	−2.08561	−	9.13766i	−0.267035	−	1.16996i	−0.913443	−	0.406966i	$-0.866587\pi$
$61$	−2.08561	−	9.13766i	−0.267035	−	1.16996i	0.646408	−	0.762992i	$-0.276270\pi$
$62$	0.461705	+	0.578960i	0.0586366	+	0.0735280i
$63$	−11.5925	−	11.8700i	−1.46051	−	1.49548i
$64$	5.51144	−	6.91113i	0.688930	−	0.863891i
$65$	2.02464	+	0.975017i	0.251126	+	0.120936i
$66$	1.29558	+	5.67632i	0.159475	+	0.698706i
$67$	2.01084			0.245663			0.122832	−	0.992428i	$-0.460802\pi$
$67$	2.01084			0.245663			0.122832	+	0.992428i	$0.460802\pi$
$68$	−0.994846			−0.120643
$69$	−2.65384	−	11.6272i	−0.319485	−	1.39975i
$70$	−4.17461	+	6.47263i	−0.498961	+	0.773627i
$71$	−3.29304	+	14.4277i	−0.390812	+	1.71226i	0.270993	+	0.962581i	$0.412648\pi$
$71$	−3.29304	+	14.4277i	−0.390812	+	1.71226i	−0.661805	+	0.749676i	$0.730209\pi$
$72$	−4.19718	+	18.3890i	−0.494642	+	2.16717i
$73$	10.4056	−	13.0481i	1.21788	−	1.52717i	0.441016	−	0.897499i	$-0.354618\pi$
$73$	10.4056	−	13.0481i	1.21788	−	1.52717i	0.776862	−	0.629671i	$-0.216810\pi$
$74$	−3.75280	+	4.70587i	−0.436255	+	0.547046i
$75$	−0.0337688	+	0.147951i	−0.00389928	+	0.0170839i
$76$	0.573826	−	2.51409i	0.0658223	−	0.288386i
$77$	3.33108	−	2.03851i	0.379612	−	0.232309i
$78$	0.877720	+	3.84554i	0.0993822	+	0.435422i
$79$	−4.15138			−0.467067			−0.233533	−	0.972349i	$-0.575029\pi$
$79$	−4.15138			−0.467067			−0.233533	+	0.972349i	$0.575029\pi$
$80$	7.30970			0.817249
$81$	−2.56184	−	11.2241i	−0.284648	−	1.24713i
$82$	−5.99399	−	2.88656i	−0.661926	−	0.318767i
$83$	−1.02639	+	1.28705i	−0.112661	+	0.141272i	−0.834964	−	0.550304i	$-0.814512\pi$
$83$	−1.02639	+	1.28705i	−0.112661	+	0.141272i	0.722304	+	0.691576i	$0.243083\pi$
$84$	2.57939	−	0.259772i	0.281435	−	0.0283434i
$85$	−4.33140	−	5.43141i	−0.469807	−	0.589119i
$86$	2.13795	+	9.36697i	0.230541	+	1.01007i
$87$	18.1929	+	22.8131i	1.95048	+	2.44583i
$88$	−4.00005	−	1.92632i	−0.426407	−	0.205347i
$89$	−1.42108	+	1.78197i	−0.150634	+	0.188889i	−0.851423	−	0.524480i	$-0.824260\pi$
$89$	−1.42108	+	1.78197i	−0.150634	+	0.188889i	0.700789	+	0.713368i	$0.252831\pi$
$90$	−16.4478	+	7.92086i	−1.73375	+	0.834932i
$91$	2.25671	−	1.38103i	0.236568	−	0.144771i
$92$	1.13565	+	0.546901i	0.118400	+	0.0570184i
$93$	1.56815	−	0.755183i	0.162610	−	0.0783088i
$94$	−1.90961	+	8.36653i	−0.196961	+	0.862941i
$95$	16.2242	−	7.81314i	1.66456	−	0.801611i
$96$	−3.42039	−	4.28903i	−0.349092	−	0.437747i
$97$	−2.98125			−0.302700			−0.151350	−	0.988480i	$-0.548362\pi$
$97$	−2.98125			−0.302700			−0.151350	+	0.988480i	$0.548362\pi$
$98$	3.74017	+	8.26091i	0.377815	+	0.834477i
$99$	9.25653			0.930316
$100$	−0.0100001	−	0.0125398i	−0.00100001	−	0.00125398i
$101$	1.31168	−	0.631672i	0.130517	−	0.0628538i	−0.367486	−	0.930029i	$-0.619781\pi$
$101$	1.31168	−	0.631672i	0.130517	−	0.0628538i	0.498003	+	0.867175i	$0.334067\pi$
$102$	2.71342	−	11.8883i	0.268668	−	1.17711i
$103$	12.6604	−	6.09691i	1.24746	−	0.600747i	0.310633	−	0.950530i	$-0.399459\pi$
$103$	12.6604	−	6.09691i	1.24746	−	0.600747i	0.936831	+	0.349783i	$0.113745\pi$
$104$	−2.70992	−	1.30503i	−0.265730	−	0.127969i
$105$	12.6485	+	12.9513i	1.23437	+	1.26392i
$106$	−0.258231	+	0.124358i	−0.0250816	+	0.0120787i
$107$	1.25596	−	1.57492i	0.121418	−	0.152254i	−0.717407	−	0.696654i	$-0.754671\pi$
$107$	1.25596	−	1.57492i	0.121418	−	0.152254i	0.838826	+	0.544400i	$0.183243\pi$
$108$	2.88772	+	1.39065i	0.277871	+	0.133816i
$109$	4.81661	+	6.03984i	0.461348	+	0.578512i	0.957029	−	0.289993i	$-0.0936529\pi$
$109$	4.81661	+	6.03984i	0.461348	+	0.578512i	−0.495681	+	0.868505i	$0.665081\pi$
$110$	−0.956180	−	4.18930i	−0.0911682	−	0.399434i
$111$	8.82062	+	11.0607i	0.837216	+	1.04984i
$112$	4.66463	−	7.23239i	0.440766	−	0.683396i
$113$	−4.58339	+	5.74739i	−0.431169	+	0.540669i	−0.949192	−	0.314698i	$-0.898097\pi$
$113$	−4.58339	+	5.74739i	−0.431169	+	0.540669i	0.518023	+	0.855367i	$0.326668\pi$
$114$	28.4779	+	13.7142i	2.66720	+	1.28446i
$115$	1.95862	+	8.58126i	0.182642	+	0.800206i
$116$	−3.08392			−0.286335
$117$	6.27104			0.579757
$118$	3.03320	+	13.2893i	0.279229	+	1.22338i
$119$	−8.13801	+	0.819582i	−0.746010	+	0.0751309i
$120$	4.57953	−	20.0642i	0.418052	−	1.83161i
$121$	1.96290	−	8.60003i	0.178446	−	0.781821i
$122$	−7.57030	+	9.49285i	−0.685382	+	0.859442i
$123$	−9.74943	+	12.2254i	−0.879076	+	1.10233i
$124$	−0.0409337	+	0.179342i	−0.00367596	+	0.0161054i
$125$	−2.47531	+	10.8450i	−0.221398	+	0.970008i
$126$	−2.65897	+	21.3285i	−0.236880	+	1.90009i
$127$	3.77441	+	16.5368i	0.334925	+	1.46740i	0.809465	+	0.587168i	$0.199757\pi$
$127$	3.77441	+	16.5368i	0.334925	+	1.46740i	−0.474540	+	0.880234i	$0.657386\pi$
$128$	−7.84795			−0.693668
$129$	22.5824			1.98827
$130$	−0.647785	−	2.83813i	−0.0568145	−	0.248920i
$131$	−4.50138	−	2.16775i	−0.393288	−	0.189397i	0.226780	−	0.973946i	$-0.427180\pi$
$131$	−4.50138	−	2.16775i	−0.393288	−	0.189397i	−0.620067	+	0.784549i	$0.712895\pi$
$132$	−0.901775	+	1.13079i	−0.0784894	+	0.0984226i
$133$	2.62281	−	21.0384i	0.227426	−	1.82426i
$134$	−1.62416	−	2.03663i	−0.140306	−	0.175938i
$135$	4.98034	+	21.8203i	0.428640	+	1.87799i
$136$	5.79745	+	7.26977i	0.497127	+	0.623378i
$137$	−14.7835	−	7.11936i	−1.26304	−	0.608248i	−0.322063	−	0.946718i	$-0.604376\pi$
$137$	−14.7835	−	7.11936i	−1.26304	−	0.608248i	−0.940977	+	0.338470i	$0.890091\pi$
$138$	−9.63283	+	12.0792i	−0.820001	+	1.02825i
$139$	13.5797	−	6.53965i	1.15182	−	0.554686i	0.242238	−	0.970217i	$-0.422119\pi$
$139$	13.5797	−	6.53965i	1.15182	−	0.554686i	0.909579	+	0.415531i	$0.136404\pi$
$140$	−1.90367	+	0.191720i	−0.160890	+	0.0162033i
$141$	18.1730	+	8.75164i	1.53044	+	0.737021i
$142$	17.2725	−	8.31802i	1.44948	−	0.698033i
$143$	−0.328458	+	1.43907i	−0.0274670	+	0.120341i
$144$	18.3785	−	8.85062i	1.53154	−	0.737551i
$145$	−13.4269	−	16.8368i	−1.11504	−	1.39822i
$146$	−21.6200			−1.78929
$147$	20.8858	−	4.24995i	1.72264	−	0.350530i
$148$	−1.49521			−0.122905
$149$	−2.82883	−	3.54724i	−0.231747	−	0.290602i	0.652338	−	0.757929i	$-0.273788\pi$
$149$	−2.82883	−	3.54724i	−0.231747	−	0.290602i	−0.884084	+	0.467327i	$0.845217\pi$
$150$	0.177123	−	0.0852980i	0.0144620	−	0.00696455i
$151$	−3.87717	+	16.9870i	−0.315519	+	1.38238i	0.529801	+	0.848122i	$0.322266\pi$
$151$	−3.87717	+	16.9870i	−0.315519	+	1.38238i	−0.845321	+	0.534259i	$0.820591\pi$
$152$	−21.7155	+	10.4576i	−1.76136	+	0.848227i
$153$	−17.4666	−	8.41149i	−1.41209	−	0.680029i
$154$	−4.75517	−	1.72730i	−0.383182	−	0.139190i
$155$	−1.15735	+	0.557348i	−0.0929603	+	0.0447673i
$156$	−0.610927	+	0.766078i	−0.0489133	+	0.0613353i
$157$	−1.66767	−	0.803105i	−0.133094	−	0.0640948i	0.366152	−	0.930555i	$-0.380675\pi$
$157$	−1.66767	−	0.803105i	−0.133094	−	0.0640948i	−0.499246	+	0.866460i	$0.666389\pi$
$158$	3.35307	+	4.20462i	0.266756	+	0.334502i
$159$	0.149904	+	0.656772i	0.0118881	+	0.0520854i
$160$	2.52435	+	3.16544i	0.199568	+	0.250250i
$161$	9.74037	+	3.53816i	0.767649	+	0.278846i
$162$	−9.29888	+	11.6604i	−0.730589	+	0.916130i
$163$	−20.7483	−	9.99185i	−1.62513	−	0.782622i	−0.999998	−	0.00210380i	$-0.999330\pi$
$163$	−20.7483	−	9.99185i	−1.62513	−	0.782622i	−0.625133	−	0.780518i	$-0.714955\pi$
$164$	−0.367750	−	1.61122i	−0.0287164	−	0.125815i
$165$	−10.0998			−0.786267
$166$	2.13257			0.165519
$167$	−0.174831	−	0.765987i	−0.0135289	−	0.0592738i	0.967713	−	0.252055i	$-0.0811064\pi$
$167$	−0.174831	−	0.765987i	−0.0135289	−	0.0592738i	−0.981242	+	0.192781i	$0.938249\pi$
$168$	−16.9296	−	17.3349i	−1.30615	−	1.33742i
$169$	−0.222521	+	0.974928i	−0.0171170	+	0.0749945i
$170$	−2.00259	+	8.77390i	−0.153591	+	0.672927i
$171$	31.3316	−	39.2885i	2.39599	−	3.00447i
$172$	−1.48810	+	1.86601i	−0.113466	+	0.142282i
$173$	−2.62380	+	11.4956i	−0.199484	+	0.873996i	0.771761	+	0.635913i	$0.219376\pi$
$173$	−2.62380	+	11.4956i	−0.199484	+	0.873996i	−0.971245	+	0.238083i	$0.923481\pi$
$174$	8.41131	−	36.8524i	0.637660	−	2.79377i
$175$	−0.0921332	−	0.0943389i	−0.00696462	−	0.00713135i
$176$	1.06842	+	4.68104i	0.0805349	+	0.352847i
$177$	32.0386			2.40817
$178$	2.95263			0.221309
$179$	−2.94055	−	12.8834i	−0.219787	−	0.962950i	−0.957635	−	0.287984i	$-0.907015\pi$
$179$	−2.94055	−	12.8834i	−0.219787	−	0.962950i	0.737848	−	0.674967i	$-0.235842\pi$
$180$	−4.08586	−	1.96765i	−0.304542	−	0.146660i
$181$	−0.0950420	+	0.119179i	−0.00706441	+	0.00885849i	−0.785351	−	0.619051i	$-0.787518\pi$
$181$	−0.0950420	+	0.119179i	−0.00706441	+	0.00885849i	0.778287	+	0.627909i	$0.216089\pi$
$182$	−3.22149	−	1.17020i	−0.238793	−	0.0867407i
$183$	17.7933	+	22.3121i	1.31532	+	1.64936i
$184$	−2.62155	−	11.4857i	−0.193263	−	0.846741i
$185$	−6.50989	−	8.16314i	−0.478617	−	0.600166i
$186$	−2.03147	−	0.978302i	−0.148954	−	0.0717326i
$187$	2.84511	−	3.56765i	0.208055	−	0.260893i
$188$	−1.92069	+	0.924955i	−0.140081	+	0.0674593i
$189$	24.7677	+	8.99678i	1.80158	+	0.654419i
$190$	−21.0176	−	10.1215i	−1.52478	−	0.734294i
$191$	16.7907	−	8.08598i	1.21493	−	0.585081i	0.287037	−	0.957919i	$-0.407330\pi$
$191$	16.7907	−	8.08598i	1.21493	−	0.585081i	0.927896	+	0.372838i	$0.121615\pi$
$192$	−5.98923	+	26.2405i	−0.432235	+	1.89375i
$193$	24.8472	−	11.9658i	1.78854	−	0.861315i	0.841457	−	0.540325i	$-0.181699\pi$
$193$	24.8472	−	11.9658i	1.78854	−	0.861315i	0.947082	−	0.320990i	$-0.104016\pi$
$194$	2.40796	+	3.01948i	0.172881	+	0.216786i
$195$	−6.84231			−0.489988
$196$	−1.02512	+	2.00588i	−0.0732229	+	0.143277i
$197$	−2.75500			−0.196286			−0.0981429	−	0.995172i	$-0.531290\pi$
$197$	−2.75500			−0.196286			−0.0981429	+	0.995172i	$0.531290\pi$
$198$	−7.47650	−	9.37524i	−0.531332	−	0.666269i
$199$	2.05054	−	0.987487i	0.145359	−	0.0700011i	−0.359790	−	0.933033i	$-0.617152\pi$
$199$	2.05054	−	0.987487i	0.145359	−	0.0700011i	0.505149	+	0.863032i	$0.331437\pi$
$200$	−0.0333579	+	0.146150i	−0.00235876	+	0.0103344i
$201$	−5.51634	+	2.65653i	−0.389093	+	0.187377i
$202$	−1.69922	−	0.818301i	−0.119557	−	0.0575754i
$203$	−25.2270	+	2.54062i	−1.77059	+	0.178317i
$204$	2.72917	−	1.31430i	0.191080	−	0.0920192i
$205$	7.19538	−	9.02272i	0.502547	−	0.630174i
$206$	−16.4009	−	7.89825i	−1.14270	−	0.550297i
$207$	15.3147	+	19.2040i	1.06444	+	1.33477i
$208$	0.723822	+	3.17127i	0.0501880	+	0.219888i
$209$	7.37483	+	9.24774i	0.510127	+	0.639680i
$210$	2.90120	−	23.2715i	0.200202	−	1.60588i
$211$	−4.51787	+	5.66522i	−0.311023	+	0.390010i	−0.912633	−	0.408779i	$-0.865955\pi$
$211$	−4.51787	+	5.66522i	−0.311023	+	0.390010i	0.601611	+	0.798790i	$0.294526\pi$
$212$	−0.0641480	−	0.0308921i	−0.00440570	−	0.00212167i
$213$	−10.0268	−	43.9301i	−0.687022	−	3.01004i
$214$	−2.60956			−0.178386
$215$	−16.6665			−1.13665
$216$	−6.66603	−	29.2058i	−0.453566	−	1.98720i
$217$	−0.187097	+	1.50077i	−0.0127010	+	0.101879i
$218$	2.22692	−	9.75677i	0.150826	−	0.660812i
$219$	−11.3076	+	49.5419i	−0.764097	+	3.34773i
$220$	0.665538	−	0.834558i	0.0448706	−	0.0562659i
$221$	1.92748	−	2.41698i	0.129656	−	0.162584i
$222$	4.07813	−	17.8675i	0.273706	−	1.19919i
$223$	3.45748	−	15.1482i	0.231530	−	1.01440i	−0.716842	−	0.697236i	$-0.754413\pi$
$223$	3.45748	−	15.1482i	0.231530	−	1.01440i	0.948371	−	0.317162i	$-0.102730\pi$
$224$	4.74285	−	0.477654i	0.316895	−	0.0319146i
$225$	−0.0695489	−	0.304714i	−0.00463659	−	0.0203142i
$226$	9.52310			0.633467
$227$	−3.73124			−0.247651			−0.123826	−	0.992304i	$-0.539516\pi$
$227$	−3.73124			−0.247651			−0.123826	+	0.992304i	$0.539516\pi$
$228$	1.74721	+	7.65501i	0.115712	+	0.506965i
$229$	7.01140	+	3.37651i	0.463326	+	0.223126i	0.650959	−	0.759113i	$-0.274367\pi$
$229$	7.01140	+	3.37651i	0.463326	+	0.223126i	−0.187632	+	0.982239i	$0.560081\pi$
$230$	7.10933	−	8.91482i	0.468775	−	0.587826i
$231$	−6.44509	+	9.99295i	−0.424056	+	0.657488i
$232$	17.9715	+	22.5355i	1.17989	+	1.47953i
$233$	6.11213	+	26.7790i	0.400419	+	1.75435i	0.625707	+	0.780058i	$0.284810\pi$
$233$	6.11213	+	26.7790i	0.400419	+	1.75435i	−0.225288	+	0.974292i	$0.572332\pi$
$234$	−5.06512	−	6.35146i	−0.331117	−	0.415208i
$235$	−13.4122	−	6.45898i	−0.874916	−	0.421337i
$236$	−2.11122	+	2.64739i	−0.137429	+	0.172330i
$237$	11.3885	−	5.48441i	0.739762	−	0.356251i
$238$	7.40316	+	7.58039i	0.479876	+	0.491364i
$239$	−0.876517	−	0.422108i	−0.0566972	−	0.0273039i	0.405320	−	0.914175i	$-0.367160\pi$
$239$	−0.876517	−	0.422108i	−0.0566972	−	0.0273039i	−0.462018	+	0.886871i	$0.652874\pi$
$240$	−20.0527	+	9.65689i	−1.29440	+	0.623349i
$241$	−2.01206	+	8.81542i	−0.129608	+	0.567851i	0.867865	+	0.496801i	$0.165492\pi$
$241$	−2.01206	+	8.81542i	−0.129608	+	0.567851i	−0.997473	+	0.0710499i	$0.977365\pi$
$242$	−10.2958	+	4.95817i	−0.661836	+	0.318724i
$243$	3.22671	+	4.04617i	0.206994	+	0.259562i
$244$	−3.01619			−0.193092
$245$	−15.4144	+	3.13659i	−0.984790	+	0.200390i
$246$	20.2568			1.29153
$247$	4.99624	+	6.26508i	0.317903	+	0.398638i
$248$	1.54907	−	0.745994i	0.0983661	−	0.0473706i
$249$	1.11536	−	4.88673i	0.0706833	−	0.309684i
$250$	12.9834	−	6.25248i	0.821143	−	0.395442i
$251$	22.1588	+	10.6711i	1.39865	+	0.673554i	0.972887	−	0.231281i	$-0.0742916\pi$
$251$	22.1588	+	10.6711i	1.39865	+	0.673554i	0.425763	+	0.904835i	$0.360006\pi$
$252$	−4.55419	+	2.78701i	−0.286887	+	0.175565i
$253$	−5.20905	+	2.50855i	−0.327490	+	0.157711i
$254$	13.7003	−	17.1796i	0.859631	−	1.07794i
$255$	19.0578	+	9.17776i	1.19345	+	0.574734i
$256$	−4.68408	−	5.87366i	−0.292755	−	0.367104i
$257$	4.40759	+	19.3109i	0.274938	+	1.20458i	0.904105	+	0.427311i	$0.140539\pi$
$257$	4.40759	+	19.3109i	0.274938	+	1.20458i	−0.629167	+	0.777270i	$0.716604\pi$
$258$	−18.2398	−	22.8720i	−1.13556	−	1.42395i
$259$	−12.2310	+	1.23179i	−0.760000	+	0.0765398i
$260$	0.450883	−	0.565389i	0.0279626	−	0.0350640i
$261$	−54.1448	−	26.0748i	−3.35148	−	1.61399i
$262$	1.44022	+	6.31000i	0.0889769	+	0.389833i
$263$	3.17318			0.195667			0.0978333	−	0.995203i	$-0.468809\pi$
$263$	3.17318			0.195667			0.0978333	+	0.995203i	$0.468809\pi$
$264$	13.5182			0.831990
$265$	−0.110634	−	0.484718i	−0.00679617	−	0.0297760i
$266$	−23.4267	+	14.3363i	−1.43638	+	0.879016i
$267$	1.54427	−	6.76588i	0.0945077	−	0.414065i
$268$	0.143994	−	0.630878i	0.00879582	−	0.0385370i
$269$	−6.59453	+	8.26928i	−0.402076	+	0.504187i	−0.941112	−	0.338096i	$-0.890217\pi$
$269$	−6.59453	+	8.26928i	−0.402076	+	0.504187i	0.539036	+	0.842283i	$0.318789\pi$
$270$	18.0775	−	22.6685i	1.10016	−	1.37956i
$271$	4.66987	−	20.4601i	0.283675	−	1.24286i	−0.609368	−	0.792888i	$-0.708577\pi$
$271$	4.66987	−	20.4601i	0.283675	−	1.24286i	0.893043	−	0.449972i	$-0.148566\pi$
$272$	2.23765	−	9.80378i	0.135677	−	0.594442i
$273$	−4.36637	+	6.76994i	−0.264264	+	0.409735i
$274$	4.72998	+	20.7234i	0.285749	+	1.25195i
$275$	0.0735680			0.00443632
$276$	−3.83795			−0.231017
$277$	−3.60367	−	15.7887i	−0.216524	−	0.948652i	−0.960024	−	0.279917i	$-0.909693\pi$
$277$	−3.60367	−	15.7887i	−0.216524	−	0.948652i	0.743501	−	0.668735i	$-0.233164\pi$
$278$	−17.5919	−	8.47179i	−1.05509	−	0.508104i
$279$	−2.23503	+	2.80264i	−0.133808	+	0.167790i
$280$	12.4946	+	12.7937i	0.746694	+	0.764570i
$281$	5.06463	+	6.35084i	0.302130	+	0.378859i	0.909601	−	0.415483i	$-0.136387\pi$
$281$	5.06463	+	6.35084i	0.302130	+	0.378859i	−0.607471	+	0.794342i	$0.707816\pi$
$282$	−5.81444	−	25.4747i	−0.346245	−	1.51700i
$283$	7.90700	+	9.91507i	0.470023	+	0.589390i	0.959177	−	0.282808i	$-0.0912659\pi$
$283$	7.90700	+	9.91507i	0.470023	+	0.589390i	−0.489154	+	0.872197i	$0.662694\pi$
$284$	4.29073	+	2.06631i	0.254608	+	0.122613i
$285$	−34.1858	+	42.8676i	−2.02499	+	2.53926i
$286$	1.72282	−	0.829666i	0.101872	−	0.0490592i
$287$	−4.33562	−	12.8770i	−0.255923	−	0.760108i
$288$	10.1796	+	4.90224i	0.599839	+	0.288867i
$289$	6.70593	−	3.22940i	0.394466	−	0.189965i
$290$	−6.20781	+	27.1982i	−0.364535	+	1.59713i
$291$	8.17847	−	3.93855i	0.479431	−	0.230882i
$292$	−3.34858	−	4.19899i	−0.195961	−	0.245727i
$293$	14.7248			0.860231			0.430115	−	0.902774i	$-0.358473\pi$
$293$	14.7248			0.860231			0.430115	+	0.902774i	$0.358473\pi$
$294$	−21.1740	−	17.7210i	−1.23489	−	1.03351i
$295$	−23.6455			−1.37669
$296$	8.71329	+	10.9261i	0.506449	+	0.635068i
$297$	−13.2455	+	6.37870i	−0.768582	+	0.370129i
$298$	−1.30789	+	5.73022i	−0.0757638	+	0.331943i
$299$	−3.52898	+	1.69947i	−0.204086	+	0.0982828i
$300$	0.0439997	+	0.0211891i	0.00254032	+	0.00122336i
$301$	−10.6356	+	16.4902i	−0.613026	+	0.950481i
$302$	20.3364	−	9.79350i	1.17023	−	0.563553i
$303$	−2.76383	+	3.46574i	−0.158778	+	0.199102i
$304$	23.4847	+	11.3096i	1.34694	+	0.648651i
$305$	−13.1320	−	16.4670i	−0.751936	−	0.942898i
$306$	5.58845	+	24.4846i	0.319471	+	1.39969i
$307$	6.82506	+	8.55836i	0.389527	+	0.488451i	0.937471	−	0.348064i	$-0.113161\pi$
$307$	6.82506	+	8.55836i	0.389527	+	0.488451i	−0.547944	+	0.836515i	$0.684589\pi$
$308$	−0.401023	−	1.19106i	−0.0228504	−	0.0678672i
$309$	−26.6766	+	33.4514i	−1.51758	+	1.90298i
$310$	1.49928	+	0.722018i	0.0851537	+	0.0410078i
$311$	−3.65845	−	16.0287i	−0.207452	−	0.908905i	−0.966255	−	0.257586i	$-0.917073\pi$
$311$	−3.65845	−	16.0287i	−0.207452	−	0.908905i	0.758804	−	0.651319i	$-0.225784\pi$
$312$	9.15822			0.518482
$313$	−7.69867			−0.435154			−0.217577	−	0.976043i	$-0.569815\pi$
$313$	−7.69867			−0.435154			−0.217577	+	0.976043i	$0.569815\pi$
$314$	0.533569	+	2.33772i	0.0301111	+	0.131925i
$315$	−35.0440	−	12.7296i	−1.97451	−	0.717233i
$316$	−0.297275	+	1.30245i	−0.0167230	+	0.0732685i
$317$	4.39910	−	19.2737i	0.247078	−	1.08252i	−0.687338	−	0.726338i	$-0.741221\pi$
$317$	4.39910	−	19.2737i	0.247078	−	1.08252i	0.934416	−	0.356183i	$-0.115922\pi$
$318$	0.544117	−	0.682301i	0.0305126	−	0.0382615i
$319$	8.81955	−	11.0594i	0.493800	−	0.619205i
$320$	4.42024	−	19.3663i	0.247099	−	1.08261i
$321$	−1.36484	+	5.97975i	−0.0761779	+	0.333757i
$322$	−4.28377	−	12.7231i	−0.238725	−	0.709028i
$323$	−5.51245	−	24.1516i	−0.306721	−	1.34383i
$324$	−3.70490			−0.205828
$325$	0.0498402			0.00276464
$326$	6.63841	+	29.0848i	0.367668	+	1.61086i
$327$	−21.1927	−	10.2059i	−1.17196	−	0.564386i
$328$	−9.63079	+	12.0766i	−0.531772	+	0.666820i
$329$	−14.9496	+	9.14861i	−0.824196	+	0.504379i
$330$	8.15760	+	10.2293i	0.449061	+	0.563105i
$331$	−2.74096	−	12.0089i	−0.150657	−	0.660071i	−0.992695	−	0.120653i	$-0.961501\pi$
$331$	−2.74096	−	12.0089i	−0.150657	−	0.660071i	0.842038	−	0.539418i	$-0.181356\pi$
$332$	0.330298	+	0.414181i	0.0181275	+	0.0227311i
$333$	−26.2515	−	12.6421i	−1.43857	−	0.692781i
$334$	−0.634598	+	0.795761i	−0.0347237	+	0.0435421i
$335$	4.07123	−	1.96060i	0.222435	−	0.107119i
$336$	−3.24174	+	26.0031i	−0.176851	+	1.41859i
$337$	−6.03436	−	2.90599i	−0.328712	−	0.158299i	0.262247	−	0.965001i	$-0.415536\pi$
$337$	−6.03436	−	2.90599i	−0.328712	−	0.158299i	−0.590959	+	0.806701i	$0.701251\pi$
$338$	1.16716	−	0.562075i	0.0634852	−	0.0305729i
$339$	4.98072	−	21.8220i	0.270516	−	1.18521i
$340$	−2.01421	+	0.969992i	−0.109236	+	0.0526052i
$341$	−0.526081	−	0.659685i	−0.0284889	−	0.0357240i
$342$	−65.0989			−3.52015
$343$	−6.73316	+	17.2530i	−0.363556	+	0.931572i
$344$	22.3076			1.20275
$345$	−16.7098	−	20.9535i	−0.899627	−	1.12810i
$346$	13.7623	−	6.62757i	0.739866	−	0.356301i
$347$	−1.52673	+	6.68906i	−0.0819593	+	0.359087i	−0.999233	−	0.0391713i	$-0.987528\pi$
$347$	−1.52673	+	6.68906i	−0.0819593	+	0.359087i	0.917273	+	0.398259i	$0.130385\pi$
$348$	8.46014	−	4.07419i	0.453511	−	0.218399i
$349$	14.6098	+	7.03569i	0.782043	+	0.376612i	0.781913	−	0.623388i	$-0.214244\pi$
$349$	14.6098	+	7.03569i	0.782043	+	0.376612i	0.000130086		1.00000i	$0.499959\pi$
$350$	−0.0211327	+	0.169512i	−0.00112959	+	0.00906081i
$351$	−8.97345	+	4.32138i	−0.478967	+	0.230658i
$352$	−1.65814	+	2.07924i	−0.0883790	+	0.110824i
$353$	28.3262	+	13.6412i	1.50765	+	0.726048i	0.991458	−	0.130424i	$-0.0416337\pi$
$353$	28.3262	+	13.6412i	1.50765	+	0.726048i	0.516195	+	0.856471i	$0.327348\pi$
$354$	−25.8776	−	32.4495i	−1.37538	−	1.72467i
$355$	7.40006	+	32.4218i	0.392755	+	1.72077i
$356$	0.457312	+	0.573451i	0.0242375	+	0.0303929i
$357$	21.2423	−	12.9995i	1.12426	−	0.688008i
$358$	−10.6735	+	13.3842i	−0.564114	+	0.707376i
$359$	−0.0429888	−	0.0207023i	−0.00226886	−	0.00109263i	0.432749	−	0.901514i	$-0.357544\pi$
$359$	−0.0429888	−	0.0207023i	−0.00226886	−	0.00109263i	−0.435018	+	0.900422i	$0.643258\pi$
$360$	9.43183	+	41.3236i	0.497101	+	2.17794i
$361$	45.2136			2.37966
$362$	0.197473			0.0103789
$363$	5.97671	+	26.1857i	0.313696	+	1.37439i
$364$	−0.271682	−	0.806912i	−0.0142400	−	0.0422937i
$365$	8.34537	−	36.5634i	0.436816	−	1.91382i
$366$	8.22657	−	36.0429i	0.430009	−	1.88399i
$367$	−10.7162	+	13.4377i	−0.559381	+	0.701441i	−0.978443	−	0.206516i	$-0.933787\pi$
$367$	−10.7162	+	13.4377i	−0.559381	+	0.701441i	0.419063	+	0.907957i	$0.362359\pi$
$368$	−7.94383	+	9.96125i	−0.414101	+	0.519266i
$369$	7.16631	−	31.3977i	0.373063	−	1.63450i
$370$	−3.00979	+	13.1868i	−0.156472	+	0.685547i
$371$	−0.550191	−	0.199855i	−0.0285645	−	0.0103760i
$372$	−0.124637	−	0.546068i	−0.00646210	−	0.0283123i
$373$	18.6951			0.967996			0.483998	−	0.875069i	$-0.339184\pi$
$373$	18.6951			0.967996			0.483998	+	0.875069i	$0.339184\pi$
$374$	−5.91140			−0.305671
$375$	−7.53691	−	33.0213i	−0.389204	−	1.70521i
$376$	17.9518	+	8.64514i	0.925795	+	0.445839i
$377$	5.97499	−	7.49240i	0.307728	−	0.385878i
$378$	−10.8927	−	32.3520i	−0.560260	−	1.66401i
$379$	−10.3111	−	12.9298i	−0.529648	−	0.664157i	0.442979	−	0.896532i	$-0.353922\pi$
$379$	−10.3111	−	12.9298i	−0.529648	−	0.664157i	−0.972626	+	0.232375i	$0.925350\pi$
$380$	−1.28949	−	5.64964i	−0.0661496	−	0.289820i
$381$	−32.2012	−	40.3790i	−1.64972	−	2.06868i
$382$	−21.7515	−	10.4750i	−1.11291	−	0.535947i
$383$	5.71325	−	7.16419i	0.291934	−	0.366073i	−0.614137	−	0.789199i	$-0.710496\pi$
$383$	5.71325	−	7.16419i	0.291934	−	0.366073i	0.906071	+	0.423126i	$0.139067\pi$
$384$	21.5293	−	10.3680i	1.09866	−	0.529088i
$385$	4.75668	−	7.37511i	0.242423	−	0.375870i
$386$	−32.1883	−	15.5011i	−1.63834	−	0.788984i
$387$	−41.9039	+	20.1799i	−2.13010	+	1.02580i
$388$	−0.213484	+	0.935334i	−0.0108380	+	0.0474844i
$389$	8.01088	−	3.85784i	0.406168	−	0.195600i	−0.219634	−	0.975582i	$-0.570486\pi$
$389$	8.01088	−	3.85784i	0.406168	−	0.195600i	0.625802	+	0.779982i	$0.284772\pi$
$390$	5.52654	+	6.93006i	0.279847	+	0.350917i
$391$	12.1088			0.612367
$392$	20.6317	−	4.19823i	1.04206	−	0.212043i
$393$	15.2125			0.767368
$394$	2.22522	+	2.79033i	0.112105	+	0.140575i
$395$	−8.40507	+	4.04767i	−0.422905	+	0.203660i
$396$	0.662849	−	2.90413i	0.0333094	−	0.145938i
$397$	30.6783	−	14.7739i	1.53970	−	0.741481i	0.544447	−	0.838795i	$-0.316739\pi$
$397$	30.6783	−	14.7739i	1.53970	−	0.741481i	0.995254	+	0.0973142i	$0.0310252\pi$
$398$	−2.65637	−	1.27924i	−0.133152	−	0.0641225i
$399$	20.5988	+	61.1799i	1.03123	+	3.06282i
$400$	0.146067	−	0.0703419i	0.00730333	−	0.00351710i
$401$	12.0613	−	15.1244i	0.602313	−	0.755277i	−0.383424	−	0.923573i	$-0.625255\pi$
$401$	12.0613	−	15.1244i	0.602313	−	0.755277i	0.985736	+	0.168296i	$0.0538265\pi$
$402$	7.14615	+	3.44141i	0.356418	+	0.171642i
$403$	−0.356405	−	0.446918i	−0.0177538	−	0.0222626i
$404$	−0.104252	−	0.456759i	−0.00518674	−	0.0227246i
$405$	−16.1305	−	20.2270i	−0.801532	−	1.00509i
$406$	22.9491	+	23.4985i	1.13894	+	1.16621i
$407$	4.27606	−	5.36201i	0.211956	−	0.265785i
$408$	−25.5083	−	12.2841i	−1.26285	−	0.608156i
$409$	−1.81727	−	7.96198i	−0.0898582	−	0.393695i	0.909919	−	0.414785i	$-0.136143\pi$
$409$	−1.81727	−	7.96198i	−0.0898582	−	0.393695i	−0.999778	+	0.0210906i	$0.993286\pi$
$410$	−14.9501			−0.738335
$411$	49.9611			2.46440
$412$	−1.00624	−	4.40864i	−0.0495741	−	0.217198i
$413$	−15.0892	+	23.3954i	−0.742489	+	1.15121i
$414$	7.08061	−	31.0222i	0.347993	−	1.52466i
$415$	−0.823173	+	3.60656i	−0.0404080	+	0.177039i
$416$	−1.12334	+	1.40862i	−0.0550763	+	0.0690635i
$417$	−28.6137	+	35.8805i	−1.40122	+	1.75707i
$418$	3.40969	−	14.9388i	0.166773	−	0.730681i
$419$	−2.65091	+	11.6144i	−0.129505	+	0.567400i	0.867984	+	0.496591i	$0.165415\pi$
$419$	−2.65091	+	11.6144i	−0.129505	+	0.567400i	−0.997490	+	0.0708090i	$0.977442\pi$
$420$	4.96907	−	3.04090i	0.242466	−	0.148381i
$421$	7.72774	+	33.8574i	0.376627	+	1.65011i	0.707706	+	0.706507i	$0.249730\pi$
$421$	7.72774	+	33.8574i	0.376627	+	1.65011i	−0.331079	+	0.943603i	$0.607413\pi$
$422$	9.38696			0.456950
$423$	−41.5424			−2.01986
$424$	0.148080	+	0.648780i	0.00719139	+	0.0315075i
$425$	−0.138819	−	0.0668519i	−0.00673373	−	0.00324279i
$426$	−36.3949	+	45.6377i	−1.76334	+	2.21115i
$427$	−24.6729	+	2.48482i	−1.19401	+	0.120249i
$428$	−0.404177	−	0.506822i	−0.0195366	−	0.0244982i
$429$	−1.00010	−	4.38173i	−0.0482853	−	0.211552i
$430$	13.4615	+	16.8802i	0.649173	+	0.814038i
$431$	−3.80900	−	1.83432i	−0.183473	−	0.0883560i	0.339892	−	0.940464i	$-0.389609\pi$
$431$	−3.80900	−	1.83432i	−0.183473	−	0.0883560i	−0.523365	+	0.852108i	$0.675324\pi$
$432$	−20.1995	+	25.3293i	−0.971847	+	1.21866i
$433$	4.11559	−	1.98197i	0.197783	−	0.0952472i	−0.332371	−	0.943149i	$-0.607849\pi$
$433$	4.11559	−	1.98197i	0.197783	−	0.0952472i	0.530154	+	0.847902i	$0.322134\pi$
$434$	1.67114	−	1.02268i	0.0802171	−	0.0490901i
$435$	59.0773	+	28.4501i	2.83254	+	1.36408i
$436$	2.23984	−	1.07865i	0.107269	−	0.0516581i
$437$	−6.98432	+	30.6003i	−0.334105	+	1.46381i
$438$	59.3104	−	28.5624i	2.83396	−	1.36476i
$439$	−2.19344	−	2.75049i	−0.104687	−	0.131274i	0.726728	−	0.686926i	$-0.241040\pi$
$439$	−2.19344	−	2.75049i	−0.104687	−	0.131274i	−0.831415	+	0.555652i	$0.812469\pi$
$440$	−9.97688			−0.475629
$441$	−34.9580	+	26.5500i	−1.66467	+	1.26429i
$442$	−4.00480			−0.190489
$443$	−2.78679	−	3.49453i	−0.132404	−	0.166030i	0.711209	−	0.702980i	$-0.248148\pi$
$443$	−2.78679	−	3.49453i	−0.132404	−	0.166030i	−0.843614	+	0.536950i	$0.819576\pi$
$444$	4.10181	−	1.97533i	0.194663	−	0.0937448i
$445$	−1.13972	+	4.99343i	−0.0540278	+	0.236711i
$446$	−18.1351	+	8.73339i	−0.858720	+	0.413538i
$447$	12.4466	+	5.99398i	0.588705	+	0.283506i
$448$	−16.3407	−	16.7319i	−0.772027	−	0.790510i
$449$	8.28450	−	3.98960i	0.390970	−	0.188281i	−0.228063	−	0.973646i	$-0.573239\pi$
$449$	8.28450	−	3.98960i	0.390970	−	0.188281i	0.619033	+	0.785365i	$0.287525\pi$
$450$	−0.252447	+	0.316558i	−0.0119005	+	0.0149227i
$451$	6.82974	+	3.28903i	0.321600	+	0.154874i
$452$	1.47497	+	1.84955i	0.0693766	+	0.0869955i
$453$	−11.8053	−	51.7226i	−0.554663	−	2.43014i
$454$	3.01372	+	3.77909i	0.141441	+	0.177361i
$455$	3.22251	−	4.99643i	0.151074	−	0.234236i
$456$	45.7566	−	57.3770i	2.14275	−	2.68692i
$457$	−34.1803	−	16.4604i	−1.59889	−	0.769983i	−0.599352	−	0.800486i	$-0.704575\pi$
$457$	−34.1803	−	16.4604i	−1.59889	−	0.769983i	−0.999535	+	0.0305028i	$0.990289\pi$
$458$	−2.24330	−	9.82852i	−0.104822	−	0.459257i
$459$	30.7900			1.43715
$460$	2.83253			0.132067
$461$	−6.01885	−	26.3703i	−0.280326	−	1.22819i	−0.897377	−	0.441264i	$-0.854530\pi$
$461$	−6.01885	−	26.3703i	−0.280326	−	1.22819i	0.617052	−	0.786923i	$-0.288327\pi$
$462$	15.3268	−	1.54357i	0.713068	−	0.0718133i
$463$	3.06428	−	13.4255i	0.142409	−	0.623934i	−0.852463	−	0.522788i	$-0.824892\pi$
$463$	3.06428	−	13.4255i	0.142409	−	0.623934i	0.994872	−	0.101146i	$-0.0322510\pi$
$464$	6.93649	−	30.3907i	0.322018	−	1.41085i
$465$	2.43864	−	3.05795i	0.113089	−	0.141809i
$466$	22.1856	−	27.8199i	1.02773	−	1.28873i
$467$	0.291724	−	1.27812i	0.0134994	−	0.0591446i	−0.967730	−	0.251991i	$-0.918915\pi$
$467$	0.291724	−	1.27812i	0.0134994	−	0.0591446i	0.981229	+	0.192846i	$0.0617719\pi$
$468$	0.449061	−	1.96747i	0.0207579	−	0.0909462i
$469$	0.658159	−	5.27931i	0.0303909	−	0.243776i
$470$	4.29124	+	18.8011i	0.197940	+	0.867232i
$471$	5.63590			0.259689
$472$	31.6487			1.45675
$473$	−2.43605	−	10.6730i	−0.112010	−	0.490746i
$474$	−14.7532	−	7.10479i	−0.677639	−	0.326334i
$475$	0.249014	−	0.312253i	0.0114255	−	0.0143272i
$476$	−0.325619	+	2.61190i	−0.0149247	+	0.119716i
$477$	−0.865060	−	1.08475i	−0.0396084	−	0.0496674i
$478$	0.280442	+	1.22869i	0.0128271	+	0.0561992i
$479$	7.59992	+	9.52999i	0.347249	+	0.435436i	0.924530	−	0.381109i	$-0.124458\pi$
$479$	7.59992	+	9.52999i	0.347249	+	0.435436i	−0.577281	+	0.816545i	$0.695886\pi$
$480$	−11.1069	−	5.34882i	−0.506960	−	0.244139i
$481$	2.89691	−	3.63261i	0.132088	−	0.165633i
$482$	10.5536	−	5.08235i	0.480704	−	0.231495i
$483$	−31.3951	+	3.16181i	−1.42853	+	0.143867i
$484$	−2.55760	−	1.23168i	−0.116255	−	0.0559853i
$485$	−6.03597	+	2.90677i	−0.274079	+	0.131990i
$486$	1.49184	−	6.53618i	0.0676712	−	0.296487i
$487$	−0.813517	+	0.391769i	−0.0368640	+	0.0177528i	−0.452225	−	0.891904i	$-0.649370\pi$
$487$	−0.813517	+	0.391769i	−0.0368640	+	0.0177528i	0.415361	+	0.909657i	$0.363655\pi$
$488$	17.5768	+	22.0406i	0.795663	+	0.997730i
$489$	70.1191			3.17090
$490$	15.6270	+	13.0787i	0.705958	+	0.590833i
$491$	−13.8377			−0.624487			−0.312244	−	0.950002i	$-0.601081\pi$
$491$	−13.8377			−0.624487			−0.312244	+	0.950002i	$0.601081\pi$
$492$	3.13743	+	3.93422i	0.141446	+	0.177368i
$493$	−26.6918	+	12.8541i	−1.20214	+	0.578920i
$494$	2.30996	−	10.1206i	0.103930	−	0.455348i
$495$	18.7412	−	9.02528i	0.842353	−	0.405656i
$496$	−1.67527	−	0.806768i	−0.0752219	−	0.0362250i
$497$	36.8012	+	13.3679i	1.65076	+	0.599633i
$498$	−5.85028	+	2.81734i	−0.262157	+	0.126248i
$499$	−15.2788	+	19.1590i	−0.683972	+	0.857673i	−0.995713	−	0.0924935i	$-0.970516\pi$
$499$	−15.2788	+	19.1590i	−0.683972	+	0.857673i	0.311742	+	0.950167i	$0.399088\pi$
$500$	3.22525	+	1.55320i	0.144238	+	0.0694612i
$501$	1.49156	+	1.87036i	0.0666382	+	0.0835617i
$502$	−7.08970	−	31.0620i	−0.316429	−	1.38637i
$503$	−23.4758	−	29.4377i	−1.04673	−	1.31256i	−0.948285	−	0.317421i	$-0.897183\pi$
$503$	−23.4758	−	29.4377i	−1.04673	−	1.31256i	−0.0984498	−	0.995142i	$-0.531388\pi$
$504$	46.9053	+	17.0382i	2.08933	+	0.758942i
$505$	2.03980	−	2.55782i	0.0907697	−	0.113822i
$506$	6.74807	+	3.24970i	0.299988	+	0.144467i
$507$	−0.677540	−	2.96850i	−0.0300906	−	0.131836i
$508$	5.45851			0.242182
$509$	−39.8472			−1.76619			−0.883097	−	0.469190i	$-0.844546\pi$
$509$	−39.8472			−1.76619			−0.883097	+	0.469190i	$0.844546\pi$
$510$	−6.09755	−	26.7151i	−0.270004	−	1.18296i
$511$	−30.8512	−	31.5898i	−1.36478	−	1.39745i
$512$	−5.65831	+	24.7907i	−0.250064	+	1.09560i
$513$	−17.7596	+	77.8100i	−0.784107	+	3.43540i
$514$	15.9985	−	20.0615i	0.705666	−	0.884877i
$515$	19.6882	−	24.6882i	0.867564	−	1.08789i
$516$	1.61710	−	7.08497i	0.0711888	−	0.311898i
$517$	2.17586	−	9.53308i	0.0956944	−	0.419264i
$518$	11.1266	+	11.3930i	0.488875	+	0.500578i
$519$	−7.98905	−	35.0023i	−0.350680	−	1.53643i
$520$	−6.75905			−0.296404
$521$	6.62590			0.290286			0.145143	−	0.989411i	$-0.453636\pi$
$521$	6.62590			0.290286			0.145143	+	0.989411i	$0.453636\pi$
$522$	17.3236	+	75.8998i	0.758235	+	3.32204i
$523$	17.8432	+	8.59281i	0.780227	+	0.375737i	0.781215	−	0.624262i	$-0.214600\pi$
$523$	17.8432	+	8.59281i	0.780227	+	0.375737i	−0.000988364		1.00000i	$0.500315\pi$
$524$	−1.00245	+	1.25703i	−0.0437921	+	0.0549135i
$525$	0.377381	+	0.137082i	0.0164703	+	0.00598277i
$526$	−2.56298	−	3.21387i	−0.111751	−	0.140131i
$527$	0.393229	+	1.72285i	0.0171293	+	0.0750485i
$528$	−9.11514	−	11.4300i	−0.396686	−	0.497428i
$529$	6.89970	+	3.32272i	0.299987	+	0.144466i
$530$	−0.401575	+	0.503559i	−0.0174433	+	0.0218732i
$531$	−59.4509	+	28.6300i	−2.57995	+	1.24244i
$532$	−6.41276	−	2.32941i	−0.278028	−	0.100993i
$533$	4.62696	+	2.22822i	0.200416	+	0.0965151i
$534$	−8.09996	+	3.90073i	−0.350519	+	0.168801i
$535$	1.00729	−	4.41324i	0.0435491	−	0.190801i
$536$	−5.44922	+	2.62421i	−0.235370	+	0.113348i
$537$	25.0872	+	31.4583i	1.08259	+	1.35753i
$538$	13.7017			0.590724
$539$	−4.26167	−	9.41273i	−0.183563	−	0.405435i
$540$	7.20251			0.309947
$541$	−21.0544	−	26.4014i	−0.905200	−	1.13508i	−0.990332	−	0.138715i	$-0.955703\pi$
$541$	−21.0544	−	26.4014i	−0.905200	−	1.13508i	0.0851328	−	0.996370i	$-0.472869\pi$
$542$	−24.4943	+	11.7958i	−1.05212	+	0.506674i
$543$	0.103281	−	0.452504i	0.00443222	−	0.0194188i
$544$	5.01825	−	2.41666i	0.215156	−	0.103613i
$545$	15.6409	+	7.53225i	0.669981	+	0.322646i
$546$	10.3835	−	1.04572i	0.444372	−	0.0447528i
$547$	−1.11718	+	0.538004i	−0.0477670	+	0.0230034i	−0.457615	−	0.889151i	$-0.651296\pi$
$547$	−1.11718	+	0.538004i	−0.0477670	+	0.0230034i	0.409848	+	0.912154i	$0.365582\pi$
$548$	−3.29225	+	4.12835i	−0.140638	+	0.176354i
$549$	−52.9556	−	25.5021i	−2.26009	−	1.08840i
$550$	−0.0594209	−	0.0745115i	−0.00253372	−	0.00317718i
$551$	−17.0880	−	74.8676i	−0.727975	−	3.18947i
$552$	22.3656	+	28.0456i	0.951942	+	1.19370i
$553$	−1.35877	+	10.8991i	−0.0577807	+	0.463479i
$554$	−13.0805	+	16.4024i	−0.555738	+	0.696873i
$555$	28.6430	+	13.7937i	1.21583	+	0.585511i
$556$	−1.07931	−	4.72878i	−0.0457731	−	0.200545i
$557$	−5.15236			−0.218312			−0.109156	−	0.994025i	$-0.534815\pi$
$557$	−5.15236			−0.218312			−0.109156	+	0.994025i	$0.534815\pi$
$558$	4.64381			0.196588
$559$	−1.65035	−	7.23067i	−0.0698025	−	0.305825i
$560$	2.39250	−	19.1911i	0.101102	−	0.810972i
$561$	−3.09175	+	13.5458i	−0.130534	+	0.571906i
$562$	2.34158	−	10.2592i	0.0987738	−	0.432756i
$563$	−9.06304	+	11.3647i	−0.381962	+	0.478965i	−0.935231	−	0.354038i	$-0.884808\pi$
$563$	−9.06304	+	11.3647i	−0.381962	+	0.478965i	0.553270	+	0.833002i	$0.313380\pi$
$564$	4.04707	−	5.07487i	0.170412	−	0.213690i
$565$	−3.67593	+	16.1053i	−0.154648	+	0.677555i
$566$	3.65573	−	16.0168i	0.153662	−	0.673237i
$567$	−30.3067	+	3.05220i	−1.27276	+	0.128180i
$568$	−9.90475	−	43.3956i	−0.415594	−	1.82084i
$569$	−10.8316			−0.454083			−0.227041	−	0.973885i	$-0.572905\pi$
$569$	−10.8316			−0.454083			−0.227041	+	0.973885i	$0.572905\pi$
$570$	71.0293			2.97509
$571$	6.21861	+	27.2455i	0.260241	+	1.14019i	0.920991	+	0.389584i	$0.127381\pi$
$571$	6.21861	+	27.2455i	0.260241	+	1.14019i	−0.660750	+	0.750606i	$0.729762\pi$
$572$	0.427971	+	0.206100i	0.0178944	+	0.00861747i
$573$	−35.3796	+	44.3646i	−1.47800	+	1.85336i
$574$	−9.54031	+	14.7920i	−0.398205	+	0.617407i
$575$	0.121716	+	0.152628i	0.00507593	+	0.00636501i
$576$	−12.3352	−	54.0440i	−0.513966	−	2.25183i
$577$	24.3956	+	30.5912i	1.01560	+	1.27353i	0.961446	+	0.274995i	$0.0886762\pi$
$577$	24.3956	+	30.5912i	1.01560	+	1.27353i	0.0541584	+	0.998532i	$0.482752\pi$
$578$	−8.68720	−	4.18353i	−0.361340	−	0.174012i
$579$	−52.3553	+	65.6515i	−2.17581	+	2.72838i
$580$	−6.24385	+	3.00688i	−0.259262	+	0.124854i
$581$	3.04311	+	3.11596i	0.126249	+	0.129272i
$582$	−10.5948	−	5.10219i	−0.439169	−	0.211493i
$583$	0.294236	−	0.141697i	0.0121860	−	0.00586848i
$584$	−11.1700	+	48.9390i	−0.462218	+	2.02511i
$585$	12.6966	−	6.11437i	0.524940	−	0.252798i
$586$	−11.8932	−	14.9136i	−0.491304	−	0.616076i
$587$	15.3226			0.632433			0.316216	−	0.948687i	$-0.397587\pi$
$587$	15.3226			0.632433			0.316216	+	0.948687i	$0.397587\pi$
$588$	0.162237	−	6.85703i	0.00669056	−	0.282779i
$589$	−4.58066			−0.188743
$590$	19.0985	+	23.9487i	0.786271	+	0.985953i
$591$	7.55781	−	3.63965i	0.310887	−	0.149715i
$592$	3.36308	−	14.7346i	0.138222	−	0.605589i
$593$	1.17285	−	0.564813i	0.0481630	−	0.0231941i	−0.409647	−	0.912244i	$-0.634348\pi$
$593$	1.17285	−	0.564813i	0.0481630	−	0.0231941i	0.457810	+	0.889050i	$0.348634\pi$
$594$	17.1589	+	8.26329i	0.704038	+	0.339047i
$595$	−15.6775	+	9.59406i	−0.642713	+	0.393318i
$596$	−1.31548	+	0.633500i	−0.0538840	+	0.0259492i
$597$	−4.32067	+	5.41795i	−0.176833	+	0.221742i
$598$	4.57162	+	2.20158i	0.186948	+	0.0900292i
$599$	25.3295	+	31.7622i	1.03494	+	1.29777i	0.953599	+	0.301081i	$0.0973474\pi$
$599$	25.3295	+	31.7622i	1.03494	+	1.29777i	0.0813365	+	0.996687i	$0.474081\pi$
$600$	−0.101569	−	0.445004i	−0.00414655	−	0.0181672i
$601$	23.0932	+	28.9580i	0.941993	+	1.18122i	0.983285	+	0.182075i	$0.0582814\pi$
$601$	23.0932	+	28.9580i	0.941993	+	1.18122i	−0.0412914	+	0.999147i	$0.513147\pi$
$602$	25.2921	−	2.54717i	1.03083	−	0.103815i
$603$	7.86224	−	9.85893i	0.320175	−	0.401487i
$604$	5.05183	+	2.43283i	0.205556	+	0.0989907i
$605$	−4.41100	−	19.3259i	−0.179333	−	0.785708i
$606$	5.74253			0.233275
$607$	24.7289			1.00372			0.501858	−	0.864950i	$-0.332650\pi$
$607$	24.7289			1.00372			0.501858	+	0.864950i	$0.332650\pi$
$608$	3.21267	+	14.0756i	0.130291	+	0.570842i
$609$	65.8489	−	40.2972i	2.66833	−	1.63293i
$610$	−6.07146	+	26.6008i	−0.245826	+	1.07704i
$611$	1.47409	−	6.45839i	0.0596351	−	0.261279i
$612$	−3.88978	+	4.87763i	−0.157235	+	0.197166i
$613$	−11.5574	+	14.4925i	−0.466799	+	0.585347i	−0.958384	−	0.285482i	$-0.907846\pi$
$613$	−11.5574	+	14.4925i	−0.466799	+	0.585347i	0.491585	+	0.870829i	$0.336418\pi$
$614$	3.15551	−	13.8252i	0.127346	−	0.557939i
$615$	−7.81915	+	34.2579i	−0.315298	+	1.38141i
$616$	−6.36666	+	9.87136i	−0.256520	+	0.397728i
$617$	7.16112	+	31.3749i	0.288296	+	1.26311i	0.886862	+	0.462034i	$0.152880\pi$
$617$	7.16112	+	31.3749i	0.288296	+	1.26311i	−0.598566	+	0.801073i	$0.704263\pi$
$618$	55.4271			2.22960
$619$	−21.2754			−0.855132			−0.427566	−	0.903984i	$-0.640629\pi$
$619$	−21.2754			−0.855132			−0.427566	+	0.903984i	$0.640629\pi$
$620$	0.0919856	+	0.403015i	0.00369423	+	0.0161855i
$621$	−35.1479	−	16.9263i	−1.41044	−	0.679230i
$622$	−13.2793	+	16.6518i	−0.532453	+	0.667675i
$623$	4.21331	+	4.31418i	0.168803	+	0.172844i
$624$	−6.17525	−	7.74351i	−0.247208	−	0.309989i
$625$	5.61792	+	24.6137i	0.224717	+	0.984549i
$626$	6.21822	+	7.79740i	0.248530	+	0.311647i
$627$	−32.4486	−	15.6264i	−1.29587	−	0.624060i
$628$	−0.371385	+	0.465702i	−0.0148199	+	0.0185835i
$629$	−12.9412	+	6.23217i	−0.516001	+	0.248493i
$630$	15.4122	+	45.7752i	0.614036	+	1.82373i
$631$	−23.1678	−	11.1570i	−0.922297	−	0.444155i	−0.0884063	−	0.996084i	$-0.528177\pi$
$631$	−23.1678	−	11.1570i	−0.922297	−	0.444155i	−0.833891	+	0.551930i	$0.813892\pi$
$632$	11.2499	−	5.41768i	0.447498	−	0.215504i
$633$	4.90952	−	21.5100i	0.195136	−	0.854946i
$634$	−23.0741	+	11.1119i	−0.916388	+	0.441309i
$635$	23.7655	+	29.8010i	0.943105	+	1.18262i
$636$	0.216789			0.00859625
$637$	−2.88716	−	6.37686i	−0.114393	−	0.252660i
$638$	−18.3247			−0.725483
$639$	57.8621	+	72.5568i	2.28899	+	2.87030i
$640$	−15.8893	+	7.65189i	−0.628080	+	0.302467i
$641$	−9.58432	+	41.9916i	−0.378558	+	1.65857i	0.323333	+	0.946285i	$0.395197\pi$
$641$	−9.58432	+	41.9916i	−0.378558	+	1.65857i	−0.701891	+	0.712285i	$0.747661\pi$
$642$	7.15882	−	3.44751i	0.282536	−	0.136062i
$643$	20.8501	+	10.0409i	0.822248	+	0.395974i	0.797202	−	0.603713i	$-0.206313\pi$
$643$	20.8501	+	10.0409i	0.822248	+	0.395974i	0.0250457	+	0.999686i	$0.492027\pi$
$644$	1.80755	−	2.80257i	0.0712276	−	0.110437i
$645$	45.7213	−	22.0182i	1.80027	−	0.866967i
$646$	−20.0089	+	25.0904i	−0.787241	+	0.987170i
$647$	29.9455	+	14.4210i	1.17728	+	0.566947i	0.917117	−	0.398618i	$-0.130510\pi$
$647$	29.9455	+	14.4210i	1.17728	+	0.566947i	0.260161	+	0.965565i	$0.416224\pi$
$648$	21.5902	+	27.0733i	0.848143	+	1.06354i
$649$	−3.45612	−	15.1423i	−0.135665	−	0.594386i
$650$	−0.0402560	−	0.0504794i	−0.00157897	−	0.00197997i
$651$	−1.46941	−	4.36425i	−0.0575908	−	0.171048i
$652$	−4.62059	+	5.79404i	−0.180956	+	0.226912i
$653$	29.9859	+	14.4405i	1.17344	+	0.565099i	0.915993	−	0.401193i	$-0.131404\pi$
$653$	29.9859	+	14.4405i	1.17344	+	0.565099i	0.257447	+	0.966292i	$0.417119\pi$
$654$	6.78060	+	29.7078i	0.265143	+	1.16167i
$655$	−11.2273			−0.438686
$656$	16.7050			0.652221
$657$	−23.2887	−	102.035i	−0.908580	−	3.98075i
$658$	21.3407	+	7.75194i	0.831947	+	0.302202i
$659$	9.63609	−	42.2185i	0.375369	−	1.64460i	−0.336061	−	0.941840i	$-0.609095\pi$
$659$	9.63609	−	42.2185i	0.375369	−	1.64460i	0.711429	−	0.702758i	$-0.248048\pi$
$660$	−0.723233	+	3.16869i	−0.0281518	+	0.123341i
$661$	−19.8110	+	24.8422i	−0.770559	+	0.966251i	−0.999975	−	0.00707793i	$-0.997747\pi$
$661$	−19.8110	+	24.8422i	−0.770559	+	0.966251i	0.229416	+	0.973329i	$0.426318\pi$
$662$	−9.94907	+	12.4757i	−0.386682	+	0.484883i
$663$	−2.09457	+	9.17692i	−0.0813465	+	0.356402i
$664$	1.10179	−	4.82726i	0.0427578	−	0.187334i
$665$	−15.2026	−	45.1526i	−0.589531	−	1.75094i
$666$	8.39918	+	36.7992i	0.325461	+	1.42594i
$667$	37.5360			1.45340
$668$	−0.252839			−0.00978264
$669$	10.5275	+	46.1238i	0.407015	+	1.78325i
$670$	−5.27408	−	2.53986i	−0.203756	−	0.0981235i
$671$	8.62583	−	10.8165i	0.332997	−	0.417564i
$672$	−12.3801	+	7.57616i	−0.477571	+	0.292257i
$673$	15.6819	+	19.6645i	0.604492	+	0.758009i	0.986071	−	0.166327i	$-0.0531908\pi$
$673$	15.6819	+	19.6645i	0.604492	+	0.758009i	−0.381578	+	0.924336i	$0.624619\pi$
$674$	1.93069	+	8.45891i	0.0743675	+	0.325825i
$675$	0.309499	+	0.388099i	0.0119126	+	0.0149379i
$676$	0.289938	+	0.139627i	0.0111515	+	0.00537026i
$677$	13.4459	−	16.8607i	0.516769	−	0.648008i	−0.453151	−	0.891434i	$-0.649700\pi$
$677$	13.4459	−	16.8607i	0.516769	−	0.648008i	0.969919	+	0.243426i	$0.0782714\pi$
$678$	−26.1248	+	12.5810i	−1.00332	+	0.483171i
$679$	−0.975779	+	7.82706i	−0.0374470	+	0.300375i
$680$	18.8259	+	9.06608i	0.721941	+	0.347668i
$681$	10.2359	−	4.92936i	0.392241	−	0.188894i
$682$	−0.243229	+	1.06566i	−0.00931372	+	0.0408061i
$683$	−0.204094	+	0.0982864i	−0.00780943	+	0.00376082i	−0.437784	−	0.899080i	$-0.644237\pi$
$683$	−0.204094	+	0.0982864i	−0.00780943	+	0.00376082i	0.429975	+	0.902841i	$0.358522\pi$
$684$	−10.0827	−	12.6433i	−0.385523	−	0.483430i
$685$	−36.8728			−1.40884
$686$	22.9126	−	7.11572i	0.874807	−	0.271679i
$687$	−23.6951			−0.904025
$688$	−15.0417	−	18.8617i	−0.573458	−	0.719094i
$689$	0.199337	−	0.0959956i	0.00759413	−	0.00365714i
$690$	−7.72564	+	33.8482i	−0.294110	+	1.28858i
$691$	22.7271	−	10.9448i	0.864579	−	0.416359i	0.0516106	−	0.998667i	$-0.483565\pi$
$691$	22.7271	−	10.9448i	0.864579	−	0.416359i	0.812968	+	0.582308i	$0.197850\pi$
$692$	3.41874	+	1.64638i	0.129961	+	0.0625858i
$693$	3.02971	−	24.3024i	0.115089	−	0.923170i
$694$	8.00798	−	3.85644i	0.303979	−	0.146388i
$695$	21.1178	−	26.4809i	0.801045	−	1.00448i
$696$	−79.0731	−	38.0796i	−2.99726	−	1.44340i
$697$	−9.89864	−	12.4125i	−0.374938	−	0.470157i
$698$	−4.67439	−	20.4799i	−0.176928	−	0.775174i
$699$	−52.1453	−	65.3881i	−1.97232	−	2.47321i
$700$	−0.0361953	+	0.0221503i	−0.00136805	+	0.000837201i
$701$	−26.4764	+	33.2004i	−1.00000	+	1.25396i	−0.0329297	+	0.999458i	$0.510484\pi$
$701$	−26.4764	+	33.2004i	−1.00000	+	1.25396i	−0.967072	+	0.254504i	$0.918088\pi$
$702$	11.6247	+	5.59814i	0.438744	+	0.211288i
$703$	−8.28495	−	36.2987i	−0.312473	−	1.36903i
$704$	13.0480			0.491766
$705$	45.3268			1.70710
$706$	−9.06298	−	39.7075i	−0.341090	−	1.49441i
$707$	−1.22909	−	3.65047i	−0.0462247	−	0.137290i
$708$	2.29425	−	10.0517i	0.0862230	−	0.377768i
$709$	5.56549	−	24.3840i	0.209016	−	0.915760i	−0.756207	−	0.654333i	$-0.772950\pi$
$709$	5.56549	−	24.3840i	0.209016	−	0.915760i	0.965223	−	0.261428i	$-0.0841933\pi$
$710$	26.8605	−	33.6821i	1.00806	−	1.26407i
$711$	−16.2316	+	20.3538i	−0.608732	+	0.763326i
$712$	1.52548	−	6.68355i	0.0571697	−	0.250477i
$713$	0.498225	−	2.18286i	0.0186587	−	0.0817489i
$714$	−30.3236	−	11.0150i	−1.13483	−	0.412225i
$715$	0.738106	+	3.23385i	0.0276036	+	0.120939i
$716$	−4.25259			−0.158927
$717$	2.96220			0.110625
$718$	0.0137543	+	0.0602614i	0.000513304	+	0.00224893i
$719$	12.2523	+	5.90040i	0.456934	+	0.220048i	0.648169	−	0.761497i	$-0.275535\pi$
$719$	12.2523	+	5.90040i	0.456934	+	0.220048i	−0.191235	+	0.981544i	$0.561249\pi$
$720$	28.5804	−	35.8387i	1.06513	−	1.33563i
$721$	−11.8632	−	35.2345i	−0.441809	−	1.31220i
$722$	−36.5190	−	45.7934i	−1.35910	−	1.70426i
$723$	−6.12640	−	26.8415i	−0.227843	−	0.998247i
$724$	0.0305852	+	0.0383526i	0.00113669	+	0.00142536i
$725$	−0.430326	−	0.207234i	−0.0159819	−	0.00769649i
$726$	21.6941	−	27.2036i	0.805144	−	1.00962i
$727$	6.31323	−	3.04029i	0.234145	−	0.112758i	−0.313133	−	0.949709i	$-0.601378\pi$
$727$	6.31323	−	3.04029i	0.234145	−	0.112758i	0.547278	+	0.836951i	$0.315664\pi$
$728$	−4.31323	+	6.68756i	−0.159859	+	0.247858i
$729$	16.9207	+	8.14859i	0.626694	+	0.301800i
$730$	−43.7729	+	21.0799i	−1.62011	+	0.780203i
$731$	−5.10196	+	22.3532i	−0.188703	+	0.826761i
$732$	8.27432	−	3.98470i	0.305828	−	0.147279i
$733$	19.3246	+	24.2323i	0.713770	+	0.895039i	0.997967	−	0.0637266i	$-0.0202986\pi$
$733$	19.3246	+	24.2323i	0.713770	+	0.895039i	−0.284197	+	0.958766i	$0.591727\pi$
$734$	22.2655			0.821834
$735$	38.1426	−	28.9687i	1.40691	−	1.06853i
$736$	−7.05702			−0.260125
$737$	1.85061	+	2.32060i	0.0681682	+	0.0854803i
$738$	−37.5886	+	18.1017i	−1.38365	+	0.666333i
$739$	−11.2754	+	49.4010i	−0.414774	+	1.81724i	0.146012	+	0.989283i	$0.453356\pi$
$739$	−11.2754	+	49.4010i	−0.414774	+	1.81724i	−0.560786	+	0.827961i	$0.689501\pi$
$740$	−3.02726	+	1.45785i	−0.111284	+	0.0535917i
$741$	−21.9830	−	10.5865i	−0.807567	−	0.388904i
$742$	0.241971	+	0.718670i	0.00888305	+	0.0263832i
$743$	27.3369	−	13.1648i	1.00289	−	0.482969i	0.140975	−	0.990013i	$-0.454976\pi$
$743$	27.3369	−	13.1648i	1.00289	−	0.482969i	0.861920	+	0.507045i	$0.169262\pi$
$744$	−3.26404	+	4.09297i	−0.119665	+	0.150056i
$745$	−9.18600	−	4.42374i	−0.336549	−	0.162073i
$746$	−15.1000	−	18.9349i	−0.552852	−	0.693254i
$747$	2.29716	+	10.0645i	0.0840488	+	0.368242i
$748$	−0.915576	−	1.14810i	−0.0334768	−	0.0419785i
$749$	−3.72377	−	3.81292i	−0.136064	−	0.139321i
$750$	−27.3573	+	34.3049i	−0.998946	+	1.25264i
$751$	16.7307	+	8.05709i	0.610513	+	0.294007i	0.713478	−	0.700678i	$-0.247119\pi$
$751$	16.7307	+	8.05709i	0.610513	+	0.294007i	−0.102965	+	0.994685i	$0.532833\pi$
$752$	−4.79494	−	21.0080i	−0.174854	−	0.766084i
$753$	−74.8859			−2.72899
$754$	−12.4145			−0.452109
$755$	8.71271	+	38.1729i	0.317088	+	1.38925i
$756$	4.59622	−	7.12633i	0.167163	−	0.259182i
$757$	−1.30053	+	5.69799i	−0.0472685	+	0.207097i	−0.993048	−	0.117714i	$-0.962443\pi$
$757$	−1.30053	+	5.69799i	−0.0472685	+	0.207097i	0.945779	+	0.324811i	$0.105301\pi$
$758$	−4.76726	+	20.8867i	−0.173155	+	0.758641i
$759$	10.9760	−	13.7634i	0.398402	−	0.499580i
$760$	−33.7698	+	42.3460i	−1.22496	+	1.53605i
$761$	−9.61268	+	42.1159i	−0.348459	+	1.52670i	0.432220	+	0.901768i	$0.357730\pi$
$761$	−9.61268	+	42.1159i	−0.348459	+	1.52670i	−0.780679	+	0.624932i	$0.785127\pi$
$762$	−14.8879	+	65.2283i	−0.539333	+	2.36297i
$763$	17.4337	−	10.6688i	0.631141	−	0.386236i
$764$	−1.33452	−	5.84693i	−0.0482813	−	0.211534i
$765$	−43.5651			−1.57510
$766$	−11.8707			−0.428904
$767$	−2.34142	−	10.2584i	−0.0845439	−	0.370411i
$768$	20.6096	+	9.92505i	0.743684	+	0.358140i
$769$	−30.2479	+	37.9297i	−1.09077	+	1.36778i	−0.166497	+	0.986042i	$0.553246\pi$
$769$	−30.2479	+	37.9297i	−1.09077	+	1.36778i	−0.924271	+	0.381738i	$0.875326\pi$
$770$	−11.3117	+	1.13920i	−0.407644	+	0.0410540i
$771$	−37.6031	−	47.1528i	−1.35424	−	1.69817i
$772$	−1.97485	−	8.65238i	−0.0710764	−	0.311406i
$773$	0.204755	+	0.256754i	0.00736452	+	0.00923481i	0.785500	−	0.618862i	$-0.212406\pi$
$773$	0.204755	+	0.256754i	0.00736452	+	0.00923481i	−0.778136	+	0.628096i	$0.783834\pi$
$774$	54.2845	+	26.1420i	1.95122	+	0.939656i
$775$	−0.0177633	+	0.0222745i	−0.000638077	+	0.000800124i
$776$	8.07896	−	3.89062i	0.290018	−	0.139665i
$777$	31.9261	−	19.5377i	1.14534	−	0.700910i
$778$	−10.3777	−	4.99764i	−0.372059	−	0.179174i
$779$	37.0774	−	17.8555i	1.32843	−	0.639740i
$780$	−0.489970	+	2.14670i	−0.0175437	+	0.0768641i
$781$	−19.6809	+	9.47781i	−0.704237	+	0.339143i
$782$	−9.78026	−	12.2641i	−0.349741	−	0.438562i
$783$	95.4459			3.41096
$784$	−17.4614	−	14.6138i	−0.623620	−	0.521923i
$785$	−4.15947			−0.148458
$786$	−12.2871	−	15.4076i	−0.438267	−	0.549570i
$787$	−11.2888	+	5.43642i	−0.402403	+	0.193787i	−0.624128	−	0.781322i	$-0.714546\pi$
$787$	−11.2888	+	5.43642i	−0.402403	+	0.193787i	0.221725	+	0.975109i	$0.428831\pi$
$788$	−0.197282	+	0.864351i	−0.00702790	+	0.0307912i
$789$	−8.70499	+	4.19210i	−0.309906	+	0.149243i
$790$	10.8883	+	5.24355i	0.387390	+	0.186557i
$791$	13.5892	+	13.9145i	0.483176	+	0.494743i
$792$	−25.0845	+	12.0801i	−0.891338	+	0.429246i
$793$	5.84375	−	7.32784i	0.207518	−	0.260219i
$794$	−39.7423	−	19.1389i	−1.41040	−	0.679213i
$795$	0.943865	+	1.18357i	0.0334755	+	0.0419769i
$796$	−0.162976	−	0.714046i	−0.00577654	−	0.0253087i
$797$	−25.9112	−	32.4917i	−0.917823	−	1.15091i	−0.988166	−	0.153391i	$-0.950981\pi$
$797$	−25.9112	−	32.4917i	−0.917823	−	1.15091i	0.0703425	−	0.997523i	$-0.477591\pi$
$798$	45.3267	−	70.2780i	1.60455	−	2.48781i
$799$	−12.7685	+	16.0113i	−0.451719	+	0.566437i
$800$	0.0809044	+	0.0389615i	0.00286040	+	0.00137750i
$801$	3.18052	+	13.9348i	0.112378	+	0.492361i
$802$	−25.0603			−0.884909
$803$	24.6346			0.869335
$804$	0.438438	+	1.92092i	0.0154625	+	0.0677457i
$805$	23.1705	−	2.33351i	0.816654	−	0.0822456i
$806$	−0.164781	+	0.721952i	−0.00580415	+	0.0254297i
$807$	7.16621	−	31.3972i	0.252263	−	1.10523i
$808$	−2.73020	+	3.42357i	−0.0960482	+	0.120441i
$809$	−4.55152	+	5.70743i	−0.160023	+	0.200663i	−0.855379	−	0.518003i	$-0.826675\pi$
$809$	−4.55152	+	5.70743i	−0.160023	+	0.200663i	0.695356	+	0.718666i	$0.255247\pi$
$810$	−7.45781	+	32.6748i	−0.262041	+	1.14807i
$811$	−0.134590	+	0.589678i	−0.00472610	+	0.0207064i	−0.977236	−	0.212155i	$-0.931952\pi$
$811$	−0.134590	+	0.589678i	−0.00472610	+	0.0207064i	0.972510	+	0.232862i	$0.0748089\pi$
$812$	−1.00938	+	8.09662i	−0.0354224	+	0.284136i
$813$	14.2190	+	62.2975i	0.498682	+	2.18487i
$814$	−8.88455			−0.311403
$815$	−51.7501			−1.81273
$816$	6.81328	+	29.8509i	0.238513	+	1.04499i
$817$	−53.5463	−	25.7865i	−1.87335	−	0.902156i
$818$	−6.59628	+	8.27147i	−0.230633	+	0.289205i
$819$	2.05254	−	16.4642i	0.0717217	−	0.575304i
$820$	−2.31552	−	2.90358i	−0.0808616	−	0.101397i
$821$	−0.196146	−	0.859370i	−0.00684553	−	0.0299922i	0.971390	−	0.237491i	$-0.0763249\pi$
$821$	−0.196146	−	0.859370i	−0.00684553	−	0.0299922i	−0.978235	+	0.207499i	$0.933468\pi$
$822$	−40.3536	−	50.6018i	−1.40749	−	1.76494i
$823$	−7.56534	−	3.64328i	−0.263711	−	0.126997i	0.297357	−	0.954767i	$-0.403895\pi$
$823$	−7.56534	−	3.64328i	−0.263711	−	0.126997i	−0.561068	+	0.827770i	$0.689609\pi$
$824$	−26.3520	+	33.0443i	−0.918015	+	1.15115i
$825$	−0.201819	+	0.0971911i	−0.00702645	+	0.00338376i
$826$	35.8829	−	3.61378i	1.24853	−	0.125740i
$827$	−17.7583	−	8.55195i	−0.617517	−	0.297380i	0.0988521	−	0.995102i	$-0.468483\pi$
$827$	−17.7583	−	8.55195i	−0.617517	−	0.297380i	−0.716369	+	0.697722i	$0.754197\pi$
$828$	7.12171	−	3.42964i	0.247497	−	0.119188i
$829$	2.13438	−	9.35132i	0.0741300	−	0.324785i	−0.924243	−	0.381805i	$-0.875303\pi$
$829$	2.13438	−	9.35132i	0.0741300	−	0.324785i	0.998373	+	0.0570200i	$0.0181599\pi$
$830$	4.31769	−	2.07929i	0.149869	−	0.0721731i
$831$	30.7445	+	38.5524i	1.06652	+	1.33737i
$832$	8.83966			0.306460
$833$	−0.511860	+	21.6340i	−0.0177349	+	0.749574i
$834$	59.4519			2.05865
$835$	−1.10082	−	1.38039i	−0.0380955	−	0.0477702i
$836$	3.42948	−	1.65155i	0.118611	−	0.0571200i
$837$	1.26688	−	5.55056i	0.0437897	−	0.191855i
$838$	13.9045	−	6.69605i	0.480322	−	0.231311i
$839$	−15.2347	−	7.33664i	−0.525960	−	0.253289i	0.152009	−	0.988379i	$-0.451426\pi$
$839$	−15.2347	−	7.33664i	−0.525960	−	0.253289i	−0.677970	+	0.735090i	$0.737140\pi$
$840$	−51.1783	−	18.5904i	−1.76582	−	0.641428i
$841$	−56.6138	+	27.2638i	−1.95220	+	0.940130i
$842$	28.0499	−	35.1735i	0.966664	−	1.21216i
$843$	−22.2839	−	10.7314i	−0.767500	−	0.369608i
$844$	1.45388	+	1.82311i	0.0500447	+	0.0627540i
$845$	0.500046	+	2.19084i	0.0172021	+	0.0753673i
$846$	33.5538	+	42.0751i	1.15360	+	1.44657i
$847$	−21.9363	−	7.96829i	−0.753740	−	0.273794i
$848$	0.448712	−	0.562667i	0.0154088	−	0.0193221i
$849$	−34.7902	−	16.7541i	−1.19400	−	0.574998i
$850$	0.0444153	+	0.194596i	0.00152343	+	0.00667459i
$851$	18.1989			0.623850
$852$	−14.5006			−0.496782
$853$	5.49695	+	24.0837i	0.188212	+	0.824611i	0.977559	+	0.210663i	$0.0675623\pi$
$853$	5.49695	+	24.0837i	0.188212	+	0.824611i	−0.789347	+	0.613948i	$0.789581\pi$
$854$	22.4450	+	22.9823i	0.768052	+	0.786439i
$855$	25.1283	−	110.094i	0.859369	−	3.76514i
$856$	−1.34823	+	5.90699i	−0.0460816	+	0.201897i
$857$	32.9256	−	41.2875i	1.12472	−	1.41035i	0.224740	−	0.974419i	$-0.427847\pi$
$857$	32.9256	−	41.2875i	1.12472	−	1.41035i	0.899979	−	0.435934i	$-0.143582\pi$
$858$	−3.63014	+	4.55205i	−0.123931	+	0.155404i
$859$	8.40650	−	36.8313i	0.286826	−	1.25667i	−0.602027	−	0.798475i	$-0.705640\pi$
$859$	8.40650	−	36.8313i	0.286826	−	1.25667i	0.888853	−	0.458192i	$-0.151503\pi$
$860$	−1.19347	+	5.22893i	−0.0406970	+	0.178305i
$861$	28.9059	+	29.5979i	0.985109	+	1.00869i
$862$	1.21869	+	5.33943i	0.0415088	+	0.181862i
$863$	−5.03514			−0.171398			−0.0856991	−	0.996321i	$-0.527312\pi$
$863$	−5.03514			−0.171398			−0.0856991	+	0.996321i	$0.527312\pi$
$864$	−17.9445			−0.610484
$865$	5.89617	+	25.8328i	0.200476	+	0.878342i
$866$	−5.33155	−	2.56754i	−0.181173	−	0.0872485i
$867$	−14.1300	+	17.7185i	−0.479880	+	0.601751i
$868$	0.457452	+	0.166168i	0.0155269	+	0.00564012i
$869$	−3.82059	−	4.79087i	−0.129605	−	0.162519i
$870$	−18.9018	−	82.8141i	−0.640830	−	2.80766i
$871$	1.25374	+	1.57214i	0.0424813	+	0.0532699i
$872$	−20.9348	−	10.0817i	−0.708943	−	0.341409i
$873$	−11.6565	+	14.6168i	−0.394512	+	0.494702i
$874$	36.6340	−	17.6420i	1.23916	−	0.596749i
$875$	27.6626	+	10.0484i	0.935168	+	0.339697i
$876$	14.7335	+	7.09527i	0.497798	+	0.239727i
$877$	−22.3181	+	10.7478i	−0.753630	+	0.362929i	−0.770929	−	0.636921i	$-0.780208\pi$
$877$	−22.3181	+	10.7478i	−0.753630	+	0.362929i	0.0172988	+	0.999850i	$0.494493\pi$
$878$	−1.01412	+	4.44315i	−0.0342249	+	0.149949i
$879$	−40.3945	+	19.4530i	−1.36247	+	0.656133i
$880$	6.72726	+	8.43571i	0.226776	+	0.284368i
$881$	49.9838			1.68400			0.841999	−	0.539479i	$-0.181379\pi$
$881$	49.9838			1.68400			0.841999	+	0.539479i	$0.181379\pi$
$882$	55.1261	+	13.9619i	1.85619	+	0.470120i
$883$	33.1211			1.11461			0.557307	−	0.830306i	$-0.311834\pi$
$883$	33.1211			1.11461			0.557307	+	0.830306i	$0.311834\pi$
$884$	−0.620277	−	0.777802i	−0.0208622	−	0.0261603i
$885$	64.8667	−	31.2382i	2.18047	−	1.05006i
$886$	−1.28845	+	5.64506i	−0.0432863	+	0.189650i
$887$	−11.6184	+	5.59511i	−0.390107	+	0.187865i	−0.618647	−	0.785669i	$-0.712319\pi$
$887$	−11.6184	+	5.59511i	−0.390107	+	0.187865i	0.228541	+	0.973534i	$0.426605\pi$
$888$	−38.3377	−	18.4625i	−1.28653	−	0.619560i
$889$	44.6515	−	4.49687i	1.49756	−	0.150820i
$890$	5.97802	−	2.87886i	0.200384	−	0.0964997i
$891$	10.5954	−	13.2863i	0.354960	−	0.445106i
$892$	−4.50499	−	2.16949i	−0.150838	−	0.0726399i
$893$	−33.0975	−	41.5029i	−1.10756	−	1.38884i
$894$	−3.98230	−	17.4476i	−0.133188	−	0.583535i
$895$	−18.5151	−	23.2172i	−0.618891	−	0.776065i
$896$	−2.56868	+	20.6042i	−0.0858135	+	0.688339i
$897$	7.43589	−	9.32432i	0.248277	−	0.311330i
$898$	−10.7322	−	5.16834i	−0.358137	−	0.172470i
$899$	1.21897	+	5.34066i	0.0406550	+	0.178121i
$900$	−0.100581			−0.00335269
$901$	−0.683972			−0.0227864
$902$	−2.18518	−	9.57388i	−0.0727584	−	0.318775i
$903$	7.39134	−	59.2884i	0.245968	−	1.97300i
$904$	4.92012	−	21.5564i	0.163641	−	0.716957i
$905$	−0.0762247	+	0.333962i	−0.00253379	+	0.0111013i
$906$	−42.8507	+	53.7331i	−1.42362	+	1.78516i
$907$	33.0992	−	41.5051i	1.09904	−	1.37816i	0.180154	−	0.983638i	$-0.442340\pi$
$907$	33.0992	−	41.5051i	1.09904	−	1.37816i	0.918889	−	0.394517i	$-0.129088\pi$
$908$	−0.267190	+	1.17063i	−0.00886700	+	0.0388489i
$909$	2.03156	−	8.90083i	0.0673824	−	0.295222i
$910$	−7.66333	+	0.771777i	−0.254037	+	0.0255841i
$911$	−6.95716	−	30.4813i	−0.230501	−	1.00989i	−0.949226	−	0.314596i	$-0.898131\pi$
$911$	−6.95716	−	30.4813i	−0.230501	−	1.00989i	0.718725	−	0.695295i	$-0.244726\pi$
$912$	−79.3667			−2.62810
$913$	−2.42991			−0.0804183
$914$	10.9360	+	47.9137i	0.361730	+	1.58484i
$915$	57.7797	+	27.8252i	1.91014	+	0.919874i
$916$	1.56142	−	1.95796i	0.0515908	−	0.0646928i
$917$	−7.16460	+	11.1085i	−0.236596	+	0.366836i
$918$	−24.8691	−	31.1849i	−0.820803	−	1.02925i
$919$	11.0539	+	48.4304i	0.364635	+	1.59757i	0.741269	+	0.671208i	$0.234224\pi$
$919$	11.0539	+	48.4304i	0.364635	+	1.59757i	−0.376634	+	0.926362i	$0.622919\pi$
$920$	−16.5065	−	20.6985i	−0.544203	−	0.682409i
$921$	−30.0297	−	14.4615i	−0.989513	−	0.476524i
$922$	−21.8470	+	27.3953i	−0.719494	+	0.902217i
$923$	−13.3332	+	6.42095i	−0.438869	+	0.211348i
$924$	2.67365	+	2.73766i	0.0879567	+	0.0900623i
$925$	−0.208639	−	0.100475i	−0.00686001	−	0.00330361i
$926$	−16.0727	+	7.74018i	−0.528180	+	0.254358i
$927$	19.6086	−	85.9110i	0.644031	−	2.82169i
$928$	15.5561	−	7.49140i	0.510653	−	0.245917i
$929$	−20.6056	−	25.8386i	−0.676046	−	0.847735i	0.318937	−	0.947776i	$-0.396674\pi$
$929$	−20.6056	−	25.8386i	−0.676046	−	0.847735i	−0.994983	+	0.100041i	$0.968103\pi$
$930$	−5.06686			−0.166149
$931$	−54.3765	−	13.7720i	−1.78212	−	0.451359i
$932$	8.83929			0.289541
$933$	31.2119	+	39.1385i	1.02183	+	1.28134i
$934$	−1.53014	+	0.736877i	−0.0500677	+	0.0241114i
$935$	2.28181	−	9.99725i	0.0746231	−	0.326945i
$936$	−16.9940	+	8.18389i	−0.555467	+	0.267499i
$937$	−3.73428	−	1.79834i	−0.121994	−	0.0587490i	0.371891	−	0.928276i	$-0.378709\pi$
$937$	−3.73428	−	1.79834i	−0.121994	−	0.0587490i	−0.493885	+	0.869527i	$0.664424\pi$
$938$	−5.87861	+	3.59751i	−0.191944	+	0.117463i
$939$	21.1198	−	10.1708i	0.689218	−	0.331910i
$940$	−2.98687	+	3.74541i	−0.0974208	+	0.122162i
$941$	15.9101	+	7.66188i	0.518653	+	0.249770i	0.674849	−	0.737956i	$-0.264209\pi$
$941$	15.9101	+	7.66188i	0.518653	+	0.249770i	−0.156196	+	0.987726i	$0.549923\pi$
$942$	−4.55212	−	5.70817i	−0.148316	−	0.185982i
$943$	4.47606	+	19.6109i	0.145761	+	0.638619i
$944$	−21.3402	−	26.7598i	−0.694566	−	0.870958i
$945$	58.9177	−	5.93363i	1.91659	−	0.193021i
$946$	−8.84230	+	11.0879i	−0.287488	+	0.360498i
$947$	−21.1418	−	10.1814i	−0.687018	−	0.330850i	0.0576017	−	0.998340i	$-0.481655\pi$
$947$	−21.1418	−	10.1814i	−0.687018	−	0.330850i	−0.744619	+	0.667489i	$0.767369\pi$
$948$	−0.905155	−	3.96574i	−0.0293981	−	0.128801i
$949$	16.6892			0.541755
$950$	−0.517386			−0.0167862
$951$	13.3946	+	58.6854i	0.434348	+	1.90300i
$952$	20.9838	−	12.8413i	0.680089	−	0.416190i
$953$	1.51207	−	6.62480i	0.0489806	−	0.214598i	−0.944515	−	0.328468i	$-0.893468\pi$
$953$	1.51207	−	6.62480i	0.0489806	−	0.214598i	0.993496	+	0.113870i	$0.0363247\pi$
$954$	−0.399953	+	1.75231i	−0.0129490	+	0.0567331i
$955$	26.1112	−	32.7425i	0.844940	−	1.05952i
$956$	−0.195198	+	0.244771i	−0.00631316	+	0.00791645i
$957$	−9.58411	+	41.9907i	−0.309810	+	1.35737i
$958$	3.51375	−	15.3948i	0.113524	−	0.497382i
$959$	−23.5301	+	36.4828i	−0.759826	+	1.17809i
$960$	13.4589	+	58.9673i	0.434384	+	1.90316i
$961$	−30.6732			−0.989459
$962$	−6.01903			−0.194061
$963$	−2.81097	−	12.3157i	−0.0905824	−	0.396867i
$964$	2.62166	+	1.26252i	0.0844379	+	0.0406631i
$965$	38.6399	−	48.4528i	1.24386	−	1.55975i
$966$	28.5602	+	29.2439i	0.918908	+	0.940907i
$967$	−7.84285	−	9.83462i	−0.252209	−	0.316260i	0.639569	−	0.768734i	$-0.279113\pi$
$967$	−7.84285	−	9.83462i	−0.252209	−	0.316260i	−0.891778	+	0.452474i	$0.850542\pi$
$968$	5.90399	+	25.8671i	0.189761	+	0.831399i
$969$	47.0292	+	58.9727i	1.51079	+	1.89448i
$970$	7.81930	+	3.76558i	0.251063	+	0.120905i
$971$	−21.6635	+	27.1652i	−0.695215	+	0.871772i	−0.996656	−	0.0817125i	$-0.973961\pi$
$971$	−21.6635	+	27.1652i	−0.695215	+	0.871772i	0.301441	+	0.953485i	$0.402532\pi$
$972$	1.50050	−	0.722603i	0.0481285	−	0.0231775i
$973$	−12.7247	−	37.7930i	−0.407934	−	1.21159i
$974$	1.05387	+	0.507518i	0.0337682	+	0.0162619i
$975$	−0.136727	+	0.0658442i	−0.00437877	+	0.00210870i
$976$	6.78413	−	29.7232i	0.217155	−	0.951417i
$977$	25.9498	−	12.4968i	0.830208	−	0.399807i	0.0300149	−	0.999549i	$-0.490445\pi$
$977$	25.9498	−	12.4968i	0.830208	−	0.399807i	0.800193	+	0.599742i	$0.204730\pi$
$978$	−56.6353	−	71.0184i	−1.81100	−	2.27092i
$979$	−3.36432			−0.107524
$980$	−0.119736	+	5.06070i	−0.00382483	+	0.161658i
$981$	48.4453			1.54674
$982$	11.1767	+	14.0152i	0.356664	+	0.447242i
$983$	10.4441	−	5.02963i	0.333116	−	0.160420i	−0.259847	−	0.965650i	$-0.583672\pi$
$983$	10.4441	−	5.02963i	0.333116	−	0.160420i	0.592963	+	0.805229i	$0.297958\pi$
$984$	10.4657	−	45.8532i	0.333634	−	1.46175i
$985$	−5.57790	+	2.68617i	−0.177727	+	0.0855886i
$986$	34.5779	+	16.6519i	1.10119	+	0.530303i
$987$	28.9249	−	44.8473i	0.920690	−	1.42751i
$988$	2.32337	−	1.11888i	0.0739163	−	0.0355962i
$989$	18.1124	−	22.7122i	0.575939	−	0.722205i
$990$	−24.2783	−	11.6918i	−0.771614	−	0.371590i
$991$	−2.03008	−	2.54564i	−0.0644876	−	0.0808649i	0.748542	−	0.663088i	$-0.230754\pi$
$991$	−2.03008	−	2.54564i	−0.0644876	−	0.0808649i	−0.813029	+	0.582223i	$0.802183\pi$
$992$	−0.229175	−	1.00408i	−0.00727632	−	0.0318796i
$993$	23.3844	+	29.3231i	0.742081	+	0.930540i
$994$	−16.1850	−	48.0704i	−0.513356	−	1.52470i
$995$	3.18879	−	3.99862i	0.101091	−	0.126765i
$996$	−1.45329	−	0.699866i	−0.0460491	−	0.0221761i
$997$	−6.80140	−	29.7989i	−0.215402	−	0.943739i	−0.960827	−	0.277149i	$-0.910610\pi$
$997$	−6.80140	−	29.7989i	−0.215402	−	0.943739i	0.745424	−	0.666590i	$-0.232247\pi$
$998$	31.7453			1.00488
$999$	46.2759			1.46411

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.547.9	yes	174
49.43	even	7	inner	637.2.w.b.92.9	✓	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.9	✓	174	49.43	even	7	inner
637.2.w.b.547.9	yes	174	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.807700 - 1.01282i) q^{2} +(-2.74330 + 1.32111i) q^{3} +(0.0716088 - 0.313739i) q^{4} +(2.02464 - 0.975017i) q^{5} +(3.55382 + 1.71143i) q^{6} +(0.327305 - 2.62543i) q^{7} +(-2.70992 + 1.30503i) q^{8} +(3.90993 - 4.90289i) q^{9} +O(q^{10})\)	\(q+(-0.807700 - 1.01282i) q^{2} +(-2.74330 + 1.32111i) q^{3} +(0.0716088 - 0.313739i) q^{4} +(2.02464 - 0.975017i) q^{5} +(3.55382 + 1.71143i) q^{6} +(0.327305 - 2.62543i) q^{7} +(-2.70992 + 1.30503i) q^{8} +(3.90993 - 4.90289i) q^{9} +(-2.62283 - 1.26309i) q^{10} +(0.920319 + 1.15404i) q^{11} +(0.218037 + 0.955283i) q^{12} +(0.623490 + 0.781831i) q^{13} +(-2.92346 + 1.78906i) q^{14} +(-4.26611 + 5.34954i) q^{15} +(2.93069 + 1.41135i) q^{16} +(-0.687909 - 3.01393i) q^{17} -8.12382 q^{18} +8.01334 q^{19} +(-0.160918 - 0.705029i) q^{20} +(2.57057 + 7.63475i) q^{21} +(0.425501 - 1.86424i) q^{22} +(-0.871587 + 3.81867i) q^{23} +(5.71006 - 7.16019i) q^{24} +(0.0310749 - 0.0389667i) q^{25} +(0.288265 - 1.26297i) q^{26} +(-2.21626 + 9.71006i) q^{27} +(-0.800260 - 0.290692i) q^{28} +(-2.13245 - 9.34287i) q^{29} +8.86388 q^{30} -0.571629 q^{31} +(0.400915 + 1.75653i) q^{32} +(-4.04933 - 1.95005i) q^{33} +(-2.49695 + 3.13108i) q^{34} +(-1.89716 - 5.63468i) q^{35} +(-1.25824 - 1.57779i) q^{36} +(-1.03389 - 4.52979i) q^{37} +(-6.47238 - 8.11610i) q^{38} +(-2.74330 - 1.32111i) q^{39} +(-4.21420 + 5.28444i) q^{40} +(4.62696 - 2.22822i) q^{41} +(5.65641 - 8.77013i) q^{42} +(-6.68214 - 3.21795i) q^{43} +(0.427971 - 0.206100i) q^{44} +(3.13580 - 13.7389i) q^{45} +(4.57162 - 2.20158i) q^{46} +(-4.13030 - 5.17923i) q^{47} -9.90433 q^{48} +(-6.78574 - 1.71863i) q^{49} -0.0645656 q^{50} +(5.86886 + 7.35932i) q^{51} +(0.289938 - 0.139627i) q^{52} +(0.0492321 - 0.215700i) q^{53} +(11.6247 - 5.59814i) q^{54} +(2.98853 + 1.43920i) q^{55} +(2.53929 + 7.54185i) q^{56} +(-21.9830 + 10.5865i) q^{57} +(-7.74031 + 9.70604i) q^{58} +(-9.48023 - 4.56544i) q^{59} +(1.37287 + 1.72152i) q^{60} +(-2.08561 - 9.13766i) q^{61} +(0.461705 + 0.578960i) q^{62} +(-11.5925 - 11.8700i) q^{63} +(5.51144 - 6.91113i) q^{64} +(2.02464 + 0.975017i) q^{65} +(1.29558 + 5.67632i) q^{66} +2.01084 q^{67} -0.994846 q^{68} +(-2.65384 - 11.6272i) q^{69} +(-4.17461 + 6.47263i) q^{70} +(-3.29304 + 14.4277i) q^{71} +(-4.19718 + 18.3890i) q^{72} +(10.4056 - 13.0481i) q^{73} +(-3.75280 + 4.70587i) q^{74} +(-0.0337688 + 0.147951i) q^{75} +(0.573826 - 2.51409i) q^{76} +(3.33108 - 2.03851i) q^{77} +(0.877720 + 3.84554i) q^{78} -4.15138 q^{79} +7.30970 q^{80} +(-2.56184 - 11.2241i) q^{81} +(-5.99399 - 2.88656i) q^{82} +(-1.02639 + 1.28705i) q^{83} +(2.57939 - 0.259772i) q^{84} +(-4.33140 - 5.43141i) q^{85} +(2.13795 + 9.36697i) q^{86} +(18.1929 + 22.8131i) q^{87} +(-4.00005 - 1.92632i) q^{88} +(-1.42108 + 1.78197i) q^{89} +(-16.4478 + 7.92086i) q^{90} +(2.25671 - 1.38103i) q^{91} +(1.13565 + 0.546901i) q^{92} +(1.56815 - 0.755183i) q^{93} +(-1.90961 + 8.36653i) q^{94} +(16.2242 - 7.81314i) q^{95} +(-3.42039 - 4.28903i) q^{96} -2.98125 q^{97} +(3.74017 + 8.26091i) q^{98} +9.25653 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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