LMFDB - Embedded newform 637.2.w.b.92.12

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			92.12
Character	$\chi$	$=$	637.92
Dual form			637.2.w.b.547.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.347630 + 0.435914i) q^{2} +(-0.809113 - 0.389648i) q^{3} +(0.375867 + 1.64678i) q^{4} +(-1.77186 - 0.853282i) q^{5} +(0.451125 - 0.217250i) q^{6} +(2.01500 + 1.71458i) q^{7} +(-1.85320 - 0.892452i) q^{8} +(-1.36763 - 1.71495i) q^{9} +O(q^{10})$	\(q+(-0.347630 + 0.435914i) q^{2} +(-0.809113 - 0.389648i) q^{3} +(0.375867 + 1.64678i) q^{4} +(-1.77186 - 0.853282i) q^{5} +(0.451125 - 0.217250i) q^{6} +(2.01500 + 1.71458i) q^{7} +(-1.85320 - 0.892452i) q^{8} +(-1.36763 - 1.71495i) q^{9} +(0.987907 - 0.475751i) q^{10} +(-0.269032 + 0.337355i) q^{11} +(0.337547 - 1.47889i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-1.44788 + 0.282328i) q^{14} +(1.10115 + 1.38080i) q^{15} +(-2.01045 + 0.968184i) q^{16} +(-1.43885 + 6.30403i) q^{17} +1.22300 q^{18} -5.11165 q^{19} +(0.739186 - 3.23859i) q^{20} +(-0.962280 - 2.17243i) q^{21} +(-0.0535344 - 0.234549i) q^{22} +(-1.13549 - 4.97491i) q^{23} +(1.15170 + 1.44419i) q^{24} +(-0.706059 - 0.885370i) q^{25} +(0.124068 + 0.543575i) q^{26} +(1.03784 + 4.54708i) q^{27} +(-2.06616 + 3.96272i) q^{28} +(2.09888 - 9.19578i) q^{29} -0.984705 q^{30} -2.41765 q^{31} +(1.19225 - 5.22360i) q^{32} +(0.349127 - 0.168131i) q^{33} +(-2.24782 - 2.81868i) q^{34} +(-2.10727 - 4.75735i) q^{35} +(2.31011 - 2.89679i) q^{36} +(0.784253 - 3.43604i) q^{37} +(1.77696 - 2.22824i) q^{38} +(-0.809113 + 0.389648i) q^{39} +(2.52209 + 3.16260i) q^{40} +(-6.33014 - 3.04844i) q^{41} +(1.28151 + 0.335729i) q^{42} +(-10.3107 + 4.96536i) q^{43} +(-0.656671 - 0.316236i) q^{44} +(0.959908 + 4.20563i) q^{45} +(2.56336 + 1.23445i) q^{46} +(1.26006 - 1.58007i) q^{47} +2.00394 q^{48} +(1.12044 + 6.90975i) q^{49} +0.631392 q^{50} +(3.62055 - 4.54003i) q^{51} +(1.52186 + 0.732887i) q^{52} +(-2.56589 - 11.2419i) q^{53} +(-2.34292 - 1.12829i) q^{54} +(0.764545 - 0.368186i) q^{55} +(-2.20401 - 4.97574i) q^{56} +(4.13591 + 1.99175i) q^{57} +(3.27894 + 4.11166i) q^{58} +(-8.60700 + 4.14491i) q^{59} +(-1.86000 + 2.33236i) q^{60} +(-1.16832 + 5.11873i) q^{61} +(0.840446 - 1.05389i) q^{62} +(0.184648 - 5.80054i) q^{63} +(-0.919980 - 1.15362i) q^{64} +(-1.77186 + 0.853282i) q^{65} +(-0.0480764 + 0.210637i) q^{66} -6.95511 q^{67} -10.9222 q^{68} +(-1.01973 + 4.46771i) q^{69} +(2.80634 + 0.735206i) q^{70} +(1.49577 + 6.55339i) q^{71} +(1.00397 + 4.39869i) q^{72} +(3.70328 + 4.64377i) q^{73} +(1.22519 + 1.53634i) q^{74} +(0.226299 + 0.991479i) q^{75} +(-1.92130 - 8.41778i) q^{76} +(-1.12052 + 0.218495i) q^{77} +(0.111419 - 0.488157i) q^{78} +13.7542 q^{79} +4.38837 q^{80} +(-0.532273 + 2.33204i) q^{81} +(3.52940 - 1.69967i) q^{82} +(-6.11330 - 7.66584i) q^{83} +(3.21583 - 2.40121i) q^{84} +(7.92855 - 9.94209i) q^{85} +(1.41983 - 6.22066i) q^{86} +(-5.28135 + 6.62261i) q^{87} +(0.799642 - 0.385088i) q^{88} +(-3.66726 - 4.59860i) q^{89} +(-2.16698 - 1.04356i) q^{90} +(2.59684 - 0.506368i) q^{91} +(7.76581 - 3.73982i) q^{92} +(1.95615 + 0.942033i) q^{93} +(0.250739 + 1.09856i) q^{94} +(9.05712 + 4.36168i) q^{95} +(-3.00003 + 3.76192i) q^{96} +4.42671 q^{97} +(-3.40155 - 1.91361i) q^{98} +0.946486 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 $

$2$	−0.347630	+	0.435914i	−0.245811	+	0.308237i	−0.889396	−	0.457137i	$-0.848875\pi$
$2$	−0.347630	+	0.435914i	−0.245811	+	0.308237i	0.643585	+	0.765375i	$0.277446\pi$
$3$	−0.809113	−	0.389648i	−0.467142	−	0.224964i	0.185479	−	0.982648i	$-0.440616\pi$
$3$	−0.809113	−	0.389648i	−0.467142	−	0.224964i	−0.652621	+	0.757685i	$0.726331\pi$
$4$	0.375867	+	1.64678i	0.187934	+	0.823391i
$5$	−1.77186	−	0.853282i	−0.792399	−	0.381599i	−0.00651930	−	0.999979i	$-0.502075\pi$
$5$	−1.77186	−	0.853282i	−0.792399	−	0.381599i	−0.785880	+	0.618380i	$0.787789\pi$
$6$	0.451125	−	0.217250i	0.184171	−	0.0886920i
$7$	2.01500	+	1.71458i	0.761598	+	0.648050i
$7$	2.01500	+	1.71458i	0.761598	+	0.648050i
$8$	−1.85320	−	0.892452i	−0.655204	−	0.315530i
$9$	−1.36763	−	1.71495i	−0.455877	−	0.571652i
$10$	0.987907	−	0.475751i	0.312404	−	0.150446i
$11$	−0.269032	+	0.337355i	−0.0811162	+	0.101716i	−0.820734	−	0.571311i	$-0.806435\pi$
$11$	−0.269032	+	0.337355i	−0.0811162	+	0.101716i	0.739617	+	0.673027i	$0.235006\pi$
$12$	0.337547	−	1.47889i	0.0974414	−	0.426919i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$14$	−1.44788	+	0.282328i	−0.386963	+	0.0754553i
$15$	1.10115	+	1.38080i	0.284317	+	0.356522i
$16$	−2.01045	+	0.968184i	−0.502614	+	0.242046i
$17$	−1.43885	+	6.30403i	−0.348973	+	1.52895i	0.430544	+	0.902570i	$0.358322\pi$
$17$	−1.43885	+	6.30403i	−0.348973	+	1.52895i	−0.779517	+	0.626381i	$0.784535\pi$
$18$	1.22300			0.288264
$19$	−5.11165			−1.17269			−0.586347	−	0.810060i	$-0.699434\pi$
$19$	−5.11165			−1.17269			−0.586347	+	0.810060i	$0.699434\pi$
$20$	0.739186	−	3.23859i	0.165287	−	0.724170i
$21$	−0.962280	−	2.17243i	−0.209987	−	0.474063i
$22$	−0.0535344	−	0.234549i	−0.0114136	−	0.0500061i
$23$	−1.13549	−	4.97491i	−0.236766	−	1.03734i	−0.943892	−	0.330254i	$-0.892866\pi$
$23$	−1.13549	−	4.97491i	−0.236766	−	1.03734i	0.707126	−	0.707088i	$-0.249991\pi$
$24$	1.15170	+	1.44419i	0.235090	+	0.294794i
$25$	−0.706059	−	0.885370i	−0.141212	−	0.177074i
$26$	0.124068	+	0.543575i	0.0243316	+	0.106604i
$27$	1.03784	+	4.54708i	0.199733	+	0.875087i
$28$	−2.06616	+	3.96272i	−0.390468	+	0.748884i
$29$	2.09888	−	9.19578i	0.389752	−	1.70761i	−0.275760	−	0.961227i	$-0.588929\pi$
$29$	2.09888	−	9.19578i	0.389752	−	1.70761i	0.665511	−	0.746388i	$-0.268213\pi$
$30$	−0.984705			−0.179782
$31$	−2.41765			−0.434223			−0.217111	−	0.976147i	$-0.569663\pi$
$31$	−2.41765			−0.434223			−0.217111	+	0.976147i	$0.569663\pi$
$32$	1.19225	−	5.22360i	0.210762	−	0.923410i
$33$	0.349127	−	0.168131i	0.0607753	−	0.0292678i
$34$	−2.24782	−	2.81868i	−0.385499	−	0.483400i
$35$	−2.10727	−	4.75735i	−0.356194	−	0.804139i
$36$	2.31011	−	2.89679i	0.385018	−	0.482798i
$37$	0.784253	−	3.43604i	0.128930	−	0.564881i	−0.868654	−	0.495419i	$-0.835015\pi$
$37$	0.784253	−	3.43604i	0.128930	−	0.564881i	0.997585	−	0.0694622i	$-0.0221283\pi$
$38$	1.77696	−	2.22824i	0.288261	−	0.361468i
$39$	−0.809113	+	0.389648i	−0.129562	+	0.0623937i
$40$	2.52209	+	3.16260i	0.398777	+	0.500050i
$41$	−6.33014	−	3.04844i	−0.988602	−	0.476086i	−0.131547	−	0.991310i	$-0.541994\pi$
$41$	−6.33014	−	3.04844i	−0.988602	−	0.476086i	−0.857055	+	0.515224i	$0.827709\pi$
$42$	1.28151	+	0.335729i	0.197741	+	0.0518042i
$43$	−10.3107	+	4.96536i	−1.57236	+	0.757210i	−0.998109	−	0.0614684i	$-0.980422\pi$
$43$	−10.3107	+	4.96536i	−1.57236	+	0.757210i	−0.574253	+	0.818678i	$0.694707\pi$
$44$	−0.656671	−	0.316236i	−0.0989969	−	0.0476744i
$45$	0.959908	+	4.20563i	0.143095	+	0.626938i
$46$	2.56336	+	1.23445i	0.377947	+	0.182010i
$47$	1.26006	−	1.58007i	0.183799	−	0.230477i	−0.681392	−	0.731918i	$-0.738625\pi$
$47$	1.26006	−	1.58007i	0.183799	−	0.230477i	0.865192	+	0.501441i	$0.167197\pi$
$48$	2.00394			0.289243
$49$	1.12044	+	6.90975i	0.160064	+	0.987107i
$50$	0.631392			0.0892923
$51$	3.62055	−	4.54003i	0.506978	−	0.635731i
$52$	1.52186	+	0.732887i	0.211043	+	0.101633i
$53$	−2.56589	−	11.2419i	−0.352452	−	1.54420i	−0.771499	−	0.636230i	$-0.780493\pi$
$53$	−2.56589	−	11.2419i	−0.352452	−	1.54420i	0.419047	−	0.907965i	$-0.362364\pi$
$54$	−2.34292	−	1.12829i	−0.318831	−	0.153541i
$55$	0.764545	−	0.368186i	0.103091	−	0.0496461i
$56$	−2.20401	−	4.97574i	−0.294523	−	0.664911i
$57$	4.13591	+	1.99175i	0.547814	+	0.263813i
$58$	3.27894	+	4.11166i	0.430545	+	0.539887i
$59$	−8.60700	+	4.14491i	−1.12054	+	0.539621i	−0.900058	−	0.435771i	$-0.856476\pi$
$59$	−8.60700	+	4.14491i	−1.12054	+	0.539621i	−0.220478	+	0.975392i	$0.570762\pi$
$60$	−1.86000	+	2.33236i	−0.240124	+	0.301106i
$61$	−1.16832	+	5.11873i	−0.149588	+	0.655387i	0.843412	+	0.537268i	$0.180544\pi$
$61$	−1.16832	+	5.11873i	−0.149588	+	0.655387i	−0.992999	+	0.118119i	$0.962314\pi$
$62$	0.840446	−	1.05389i	0.106737	−	0.133844i
$63$	0.184648	−	5.80054i	0.0232635	−	0.730800i
$64$	−0.919980	−	1.15362i	−0.114998	−	0.144202i
$65$	−1.77186	+	0.853282i	−0.219772	+	0.105837i
$66$	−0.0480764	+	0.210637i	−0.00591780	+	0.0259276i
$67$	−6.95511			−0.849702			−0.424851	−	0.905263i	$-0.639673\pi$
$67$	−6.95511			−0.849702			−0.424851	+	0.905263i	$0.639673\pi$
$68$	−10.9222			−1.32451
$69$	−1.01973	+	4.46771i	−0.122761	+	0.537849i
$70$	2.80634	+	0.735206i	0.335422	+	0.0878739i
$71$	1.49577	+	6.55339i	0.177515	+	0.777744i	0.982773	+	0.184819i	$0.0591698\pi$
$71$	1.49577	+	6.55339i	0.177515	+	0.777744i	−0.805258	+	0.592925i	$0.797973\pi$
$72$	1.00397	+	4.39869i	0.118319	+	0.518391i
$73$	3.70328	+	4.64377i	0.433436	+	0.543512i	0.949800	−	0.312857i	$-0.101286\pi$
$73$	3.70328	+	4.64377i	0.433436	+	0.543512i	−0.516364	+	0.856369i	$0.672715\pi$
$74$	1.22519	+	1.53634i	0.142425	+	0.178595i
$75$	0.226299	+	0.991479i	0.0261307	+	0.114486i
$76$	−1.92130	−	8.41778i	−0.220389	−	0.965586i
$77$	−1.12052	+	0.218495i	−0.127695	+	0.0248998i
$78$	0.111419	−	0.488157i	0.0126157	−	0.0552729i
$79$	13.7542			1.54747			0.773736	−	0.633509i	$-0.218386\pi$
$79$	13.7542			1.54747			0.773736	+	0.633509i	$0.218386\pi$
$80$	4.38837			0.490635
$81$	−0.532273	+	2.33204i	−0.0591415	+	0.259116i
$82$	3.52940	−	1.69967i	0.389757	−	0.187697i
$83$	−6.11330	−	7.66584i	−0.671022	−	0.841435i	0.323471	−	0.946238i	$-0.395150\pi$
$83$	−6.11330	−	7.66584i	−0.671022	−	0.841435i	−0.994493	+	0.104803i	$0.966579\pi$
$84$	3.21583	−	2.40121i	0.350876	−	0.261994i
$85$	7.92855	−	9.94209i	0.859972	−	1.07837i
$86$	1.41983	−	6.22066i	0.153104	−	0.670791i
$87$	−5.28135	+	6.62261i	−0.566221	+	0.710018i
$88$	0.799642	−	0.385088i	0.0852422	−	0.0410505i
$89$	−3.66726	−	4.59860i	−0.388729	−	0.487451i	0.548507	−	0.836146i	$-0.315196\pi$
$89$	−3.66726	−	4.59860i	−0.388729	−	0.487451i	−0.937236	+	0.348695i	$0.886625\pi$
$90$	−2.16698	−	1.04356i	−0.228420	−	0.110001i
$91$	2.59684	−	0.506368i	0.272223	−	0.0530818i
$92$	7.76581	−	3.73982i	0.809642	−	0.389903i
$93$	1.95615	+	0.942033i	0.202844	+	0.0976843i
$94$	0.250739	+	1.09856i	0.0258617	+	0.113308i
$95$	9.05712	+	4.36168i	0.929241	+	0.447499i
$96$	−3.00003	+	3.76192i	−0.306190	+	0.383950i
$97$	4.42671			0.449464			0.224732	−	0.974421i	$-0.427849\pi$
$97$	4.42671			0.449464			0.224732	+	0.974421i	$0.427849\pi$
$98$	−3.40155	−	1.91361i	−0.343609	−	0.193304i
$99$	0.946486			0.0951254
$100$	1.19263	−	1.49551i	0.119263	−	0.149551i
$101$	10.3007	+	4.96057i	1.02496	+	0.493595i	0.869336	−	0.494222i	$-0.164547\pi$
$101$	10.3007	+	4.96057i	1.02496	+	0.493595i	0.155624	+	0.987816i	$0.450261\pi$
$102$	0.720449	+	3.15649i	0.0713351	+	0.312539i
$103$	7.82212	+	3.76694i	0.770737	+	0.371167i	0.777559	−	0.628810i	$-0.216458\pi$
$103$	7.82212	+	3.76694i	0.770737	+	0.371167i	−0.00682282	+	0.999977i	$0.502172\pi$
$104$	−1.85320	+	0.892452i	−0.181721	+	0.0875121i
$105$	−0.148670	+	4.67033i	−0.0145088	+	0.455778i
$106$	5.79248	+	2.78951i	0.562616	+	0.270941i
$107$	7.03038	+	8.81582i	0.679653	+	0.852257i	0.995322	−	0.0966118i	$-0.0308005\pi$
$107$	7.03038	+	8.81582i	0.679653	+	0.852257i	−0.315670	+	0.948869i	$0.602229\pi$
$108$	−7.09797	+	3.41820i	−0.683002	+	0.328917i
$109$	−11.7294	+	14.7082i	−1.12347	+	1.40879i	−0.222493	+	0.974934i	$0.571420\pi$
$109$	−11.7294	+	14.7082i	−1.12347	+	1.40879i	−0.900981	+	0.433858i	$0.857152\pi$
$110$	−0.105281	+	0.461268i	−0.0100382	+	0.0439802i
$111$	−1.97340	+	2.47456i	−0.187307	+	0.234875i
$112$	−5.71109	−	1.49619i	−0.539647	−	0.141377i
$113$	−8.60316	−	10.7880i	−0.809318	−	1.01485i	−0.999452	−	0.0330941i	$-0.989464\pi$
$113$	−8.60316	−	10.7880i	−0.809318	−	1.01485i	0.190135	−	0.981758i	$-0.439108\pi$
$114$	−2.30599	+	1.11051i	−0.215976	+	0.104009i
$115$	−2.23307	+	9.78374i	−0.208235	+	0.912338i
$116$	15.9324			1.47928
$117$	−2.19351			−0.202790
$118$	1.18522	−	5.19280i	0.109109	−	0.478036i
$119$	−13.7080	+	10.2356i	−1.25661	+	0.938295i
$120$	−0.808353	−	3.54163i	−0.0737922	−	0.323305i
$121$	2.40630	+	10.5427i	0.218755	+	0.958426i
$122$	−1.82518	−	2.28871i	−0.165244	−	0.207210i
$123$	3.93398	+	4.93306i	0.354715	+	0.444799i
$124$	−0.908716	−	3.98134i	−0.0816051	−	0.357535i
$125$	2.68363	+	11.7577i	0.240031	+	1.05165i
$126$	2.46435	+	2.09693i	0.219541	+	0.186809i
$127$	2.10223	−	9.21046i	0.186543	−	0.817297i	−0.791879	−	0.610678i	$-0.790897\pi$
$127$	2.10223	−	9.21046i	0.186543	−	0.817297i	0.978422	−	0.206618i	$-0.0662459\pi$
$128$	11.5386			1.01987
$129$	10.2772			0.904861
$130$	0.243993	−	1.06900i	0.0213996	−	0.0937578i
$131$	−5.68281	+	2.73670i	−0.496509	+	0.239106i	−0.665342	−	0.746538i	$-0.731714\pi$
$131$	−5.68281	+	2.73670i	−0.496509	+	0.239106i	0.168833	+	0.985645i	$0.446000\pi$
$132$	0.408101	+	0.511742i	0.0355206	+	0.0445414i
$133$	−10.3000	−	8.76432i	−0.893121	−	0.759963i
$134$	2.41780	−	3.03183i	0.208866	−	0.261910i
$135$	2.04104	−	8.94236i	0.175664	−	0.769636i
$136$	8.29252	−	10.3985i	0.711078	−	0.891663i
$137$	−8.34389	+	4.01821i	−0.712867	+	0.343299i	−0.754920	−	0.655817i	$-0.772324\pi$
$137$	−8.34389	+	4.01821i	−0.712867	+	0.343299i	0.0420532	+	0.999115i	$0.486610\pi$
$138$	−1.59305	−	1.99762i	−0.135609	−	0.170049i
$139$	1.45677	+	0.701544i	0.123562	+	0.0595042i	0.494643	−	0.869096i	$-0.335299\pi$
$139$	1.45677	+	0.701544i	0.123562	+	0.0595042i	−0.371082	+	0.928600i	$0.621013\pi$
$140$	7.04227	−	5.25836i	0.595180	−	0.444412i
$141$	−1.63521	+	0.787474i	−0.137709	+	0.0663173i
$142$	−3.37668	−	1.62613i	−0.283365	−	0.136461i
$143$	0.0960164	+	0.420675i	0.00802929	+	0.0351786i
$144$	4.40995	+	2.12372i	0.367496	+	0.176977i
$145$	−11.5655	+	14.5027i	−0.960463	+	1.20438i
$146$	−3.31165			−0.274074
$147$	1.78581	−	6.02735i	0.147291	−	0.497127i
$148$	5.95319			0.489349
$149$	7.31041	−	9.16696i	0.598892	−	0.750987i	−0.386313	−	0.922368i	$-0.626251\pi$
$149$	7.31041	−	9.16696i	0.598892	−	0.750987i	0.985205	+	0.171381i	$0.0548229\pi$
$150$	−0.510867	−	0.246021i	−0.0417121	−	0.0200875i
$151$	2.00449	+	8.78224i	0.163123	+	0.714688i	0.988639	+	0.150310i	$0.0480271\pi$
$151$	2.00449	+	8.78224i	0.163123	+	0.714688i	−0.825516	+	0.564379i	$0.809116\pi$
$152$	9.47289	+	4.56190i	0.768353	+	0.370019i
$153$	12.7789	−	6.15401i	1.03312	−	0.497523i
$154$	0.294281	−	0.564406i	0.0237139	−	0.0454811i
$155$	4.28373	+	2.06294i	0.344078	+	0.165699i
$156$	−0.945786	−	1.18598i	−0.0757235	−	0.0949542i
$157$	−0.498680	+	0.240152i	−0.0397990	+	0.0191662i	−0.453677	−	0.891166i	$-0.649888\pi$
$157$	−0.498680	+	0.240152i	−0.0397990	+	0.0191662i	0.413878	+	0.910332i	$0.364174\pi$
$158$	−4.78137	+	5.99565i	−0.380386	+	0.476989i
$159$	−2.30430	+	10.0958i	−0.182742	+	0.800647i
$160$	−6.56970	+	8.23815i	−0.519381	+	0.651283i
$161$	6.24186	−	11.9713i	0.491928	−	0.943474i
$162$	−0.831535	−	1.04271i	−0.0653315	−	0.0819231i
$163$	5.34869	−	2.57580i	0.418942	−	0.201752i	−0.212523	−	0.977156i	$-0.568168\pi$
$163$	5.34869	−	2.57580i	0.418942	−	0.201752i	0.631465	+	0.775404i	$0.282454\pi$
$164$	2.64082	−	11.5702i	0.206213	−	0.903479i
$165$	−0.762067			−0.0593268
$166$	5.46681			0.424307
$167$	−4.73051	+	20.7257i	−0.366058	+	1.60380i	0.371442	+	0.928456i	$0.378864\pi$
$167$	−4.73051	+	20.7257i	−0.366058	+	1.60380i	−0.737499	+	0.675348i	$0.763994\pi$
$168$	−0.155495	+	4.88473i	−0.0119967	+	0.376865i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	1.57769	+	6.91233i	0.121004	+	0.530152i
$171$	6.99085	+	8.76625i	0.534604	+	0.670372i
$172$	−12.0523	−	15.1131i	−0.918980	−	1.15236i
$173$	−2.86104	−	12.5350i	−0.217521	−	0.953020i	−0.959303	−	0.282379i	$-0.908876\pi$
$173$	−2.86104	−	12.5350i	−0.217521	−	0.953020i	0.741782	−	0.670641i	$-0.233981\pi$
$174$	−1.05093	−	4.60443i	−0.0796708	−	0.349061i
$175$	0.0953274	−	2.99461i	0.00720607	−	0.226371i
$176$	0.214254	−	0.938710i	0.0161500	−	0.0707579i
$177$	8.57909			0.644844
$178$	3.27944			0.245804
$179$	−1.76002	+	7.71115i	−0.131550	+	0.576358i	0.865588	+	0.500757i	$0.166945\pi$
$179$	−1.76002	+	7.71115i	−0.131550	+	0.576358i	−0.997138	+	0.0756017i	$0.975912\pi$
$180$	−6.56496	+	3.16152i	−0.489323	+	0.235646i
$181$	−2.75803	−	3.45846i	−0.205003	−	0.257066i	0.668692	−	0.743539i	$-0.266854\pi$
$181$	−2.75803	−	3.45846i	−0.205003	−	0.257066i	−0.873695	+	0.486474i	$0.838283\pi$
$182$	−0.682006	+	1.30803i	−0.0505537	+	0.0969575i
$183$	2.93981	−	3.68640i	0.217317	−	0.272507i
$184$	−2.33558	+	10.2329i	−0.172182	+	0.754377i
$185$	−4.32149	+	5.41898i	−0.317723	+	0.398412i
$186$	−1.09066	+	0.525235i	−0.0799712	+	0.0385121i
$187$	−1.73960	−	2.18139i	−0.127212	−	0.159519i
$188$	3.07565	+	1.48115i	0.224315	+	0.108024i
$189$	−5.70508	+	10.9418i	−0.414983	+	0.795901i
$190$	−5.04984	+	2.43187i	−0.366354	+	0.176427i
$191$	9.53517	+	4.59189i	0.689940	+	0.332258i	0.745790	−	0.666181i	$-0.232072\pi$
$191$	9.53517	+	4.59189i	0.689940	+	0.332258i	−0.0558493	+	0.998439i	$0.517787\pi$
$192$	0.294862	+	1.29188i	0.0212799	+	0.0932332i
$193$	−10.5734	−	5.09188i	−0.761090	−	0.366521i	0.0127370	−	0.999919i	$-0.495946\pi$
$193$	−10.5734	−	5.09188i	−0.761090	−	0.366521i	−0.773827	+	0.633397i	$0.781660\pi$
$194$	−1.53886	+	1.92966i	−0.110483	+	0.138542i
$195$	1.76611			0.126474
$196$	−10.9577	+	4.44228i	−0.782694	+	0.317306i
$197$	−10.4535			−0.744780			−0.372390	−	0.928076i	$-0.621462\pi$
$197$	−10.4535			−0.744780			−0.372390	+	0.928076i	$0.621462\pi$
$198$	−0.329026	+	0.412586i	−0.0233829	+	0.0293212i
$199$	15.8738	+	7.64442i	1.12526	+	0.541899i	0.901515	−	0.432748i	$-0.142456\pi$
$199$	15.8738	+	7.64442i	1.12526	+	0.541899i	0.223749	+	0.974647i	$0.428170\pi$
$200$	0.518315	+	2.27089i	0.0366504	+	0.160576i
$201$	5.62747	+	2.71005i	0.396931	+	0.191152i
$202$	−5.74321	+	2.76579i	−0.404091	+	0.194600i
$203$	19.9961	−	14.9308i	1.40345	−	1.04794i
$204$	8.83728	+	4.25581i	0.618734	+	0.297966i
$205$	8.61494	+	10.8028i	0.601693	+	0.754499i
$206$	−4.36126	+	2.10027i	−0.303863	+	0.146333i
$207$	−6.97882	+	8.75116i	−0.485062	+	0.608248i
$208$	−0.496541	+	2.17549i	−0.0344289	+	0.150843i
$209$	1.37520	−	1.72444i	0.0951244	−	0.119282i
$210$	−1.98418	−	1.68835i	−0.136921	−	0.116507i
$211$	1.23267	+	1.54572i	0.0848603	+	0.106411i	0.822449	−	0.568839i	$-0.192607\pi$
$211$	1.23267	+	1.54572i	0.0848603	+	0.106411i	−0.737589	+	0.675250i	$0.764036\pi$
$212$	17.5486	−	8.45094i	1.20524	−	0.580413i
$213$	1.34327	−	5.88526i	0.0920394	−	0.403251i
$214$	−6.28690			−0.429764
$215$	22.5059			1.53489
$216$	2.13473	−	9.35286i	0.145250	−	0.636382i
$217$	−4.87156	−	4.14525i	−0.330703	−	0.281398i
$218$	−2.33402	−	10.2260i	−0.158080	−	0.692594i
$219$	−1.18694	−	5.20031i	−0.0802058	−	0.351405i
$220$	0.893690	+	1.12065i	0.0602525	+	0.0755543i
$221$	4.03158	+	5.05544i	0.271193	+	0.340066i
$222$	−0.392684	−	1.72046i	−0.0263552	−	0.115470i
$223$	−6.56210	−	28.7505i	−0.439431	−	1.92527i	−0.374037	−	0.927414i	$-0.622027\pi$
$223$	−6.56210	−	28.7505i	−0.439431	−	1.92527i	−0.0653939	−	0.997860i	$-0.520830\pi$
$224$	11.3587	−	8.48134i	0.758932	−	0.566683i
$225$	−0.552741	+	2.42172i	−0.0368494	+	0.161448i
$226$	7.69336			0.511755
$227$	10.7611			0.714240			0.357120	−	0.934058i	$-0.383759\pi$
$227$	10.7611			0.714240			0.357120	+	0.934058i	$0.383759\pi$
$228$	−1.72542	+	7.55957i	−0.114269	+	0.500645i
$229$	−25.1026	+	12.0888i	−1.65882	+	0.798847i	−0.659954	+	0.751306i	$0.729424\pi$
$229$	−25.1026	+	12.0888i	−1.65882	+	0.798847i	−0.998869	+	0.0475413i	$0.984861\pi$
$230$	−3.48858	−	4.37454i	−0.230030	−	0.288449i
$231$	0.991765	+	0.259822i	0.0652533	+	0.0170951i
$232$	−12.0964	+	15.1684i	−0.794170	+	0.995857i
$233$	−6.34791	+	27.8120i	−0.415865	+	1.82203i	0.139257	+	0.990256i	$0.455529\pi$
$233$	−6.34791	+	27.8120i	−0.415865	+	1.82203i	−0.555122	+	0.831769i	$0.687328\pi$
$234$	0.762529	−	0.956181i	0.0498481	−	0.0625075i
$235$	−3.58090	+	1.72447i	−0.233592	+	0.112492i
$236$	−10.0609	−	12.6159i	−0.654906	−	0.821226i
$237$	−11.1287	−	5.35931i	−0.722888	−	0.348125i
$238$	0.303486	−	9.53371i	0.0196721	−	0.617979i
$239$	−2.63167	+	1.26735i	−0.170229	+	0.0819778i	−0.517058	−	0.855951i	$-0.672973\pi$
$239$	−2.63167	+	1.26735i	−0.170229	+	0.0819778i	0.346829	+	0.937928i	$0.387258\pi$
$240$	−3.55069	−	1.70992i	−0.229196	−	0.110375i
$241$	0.302800	+	1.32665i	0.0195050	+	0.0854572i	0.983744	−	0.179579i	$-0.0574734\pi$
$241$	0.302800	+	1.32665i	0.0195050	+	0.0854572i	−0.964239	+	0.265036i	$0.914616\pi$
$242$	−5.43220	−	2.61601i	−0.349195	−	0.168164i
$243$	10.0633	−	12.6189i	0.645558	−	0.809504i
$244$	−8.86857			−0.567752
$245$	3.91069	−	13.1991i	0.249845	−	0.843262i
$246$	−3.51796			−0.224297
$247$	−3.18706	+	3.99645i	−0.202788	+	0.254288i
$248$	4.48038	+	2.15764i	0.284504	+	0.137010i
$249$	1.95937	+	8.58457i	0.124170	+	0.544025i
$250$	−6.05827	−	2.91751i	−0.383159	−	0.184520i
$251$	−4.40695	+	2.12227i	−0.278164	+	0.133957i	−0.567765	−	0.823191i	$-0.692192\pi$
$251$	−4.40695	+	2.12227i	−0.278164	+	0.133957i	0.289601	+	0.957148i	$0.406477\pi$
$252$	9.62164	−	1.87616i	0.606106	−	0.118187i
$253$	1.98380	+	0.955347i	0.124720	+	0.0600621i
$254$	3.28417	+	4.11822i	0.206067	+	0.258400i
$255$	−10.2890	+	4.95493i	−0.644323	+	0.310290i
$256$	−2.17118	+	2.72258i	−0.135699	+	0.170161i
$257$	1.15924	−	5.07897i	0.0723115	−	0.316818i	−0.925817	−	0.377973i	$-0.876621\pi$
$257$	1.15924	−	5.07897i	0.0723115	−	0.316818i	0.998128	+	0.0611552i	$0.0194784\pi$
$258$	−3.57267	+	4.47999i	−0.222425	+	0.278912i
$259$	7.47163	−	5.57895i	0.464264	−	0.346659i
$260$	−2.07115	−	2.59714i	−0.128447	−	0.161068i
$261$	−18.6408	+	8.97696i	−1.15384	+	0.555660i
$262$	0.782549	−	3.42857i	0.0483460	−	0.211818i
$263$	−14.0106			−0.863934			−0.431967	−	0.901889i	$-0.642180\pi$
$263$	−14.0106			−0.863934			−0.431967	+	0.901889i	$0.642180\pi$
$264$	−0.797050			−0.0490550
$265$	−5.04612	+	22.1085i	−0.309981	+	1.35811i
$266$	7.40106	−	1.44316i	0.453788	−	0.0884859i
$267$	1.17539	+	5.14973i	0.0719329	+	0.315158i
$268$	−2.61420	−	11.4536i	−0.159688	−	0.699637i
$269$	−6.06435	−	7.60445i	−0.369750	−	0.463652i	0.561796	−	0.827276i	$-0.310111\pi$
$269$	−6.06435	−	7.60445i	−0.369750	−	0.463652i	−0.931546	+	0.363624i	$0.881539\pi$
$270$	3.18857	+	3.99834i	0.194050	+	0.243331i
$271$	0.147864	+	0.647835i	0.00898210	+	0.0393532i	0.979220	−	0.202799i	$-0.0650038\pi$
$271$	0.147864	+	0.647835i	0.00898210	+	0.0393532i	−0.970238	+	0.242152i	$0.922147\pi$
$272$	−3.21071	−	14.0670i	−0.194678	−	0.852939i
$273$	−2.29845	−	0.602147i	−0.139108	−	0.0364436i
$274$	1.14899	−	5.03406i	0.0694132	−	0.304119i
$275$	0.488637			0.0294659
$276$	−7.74063			−0.465931
$277$	4.36703	−	19.1332i	0.262389	−	1.14960i	−0.656262	−	0.754533i	$-0.727863\pi$
$277$	4.36703	−	19.1332i	0.262389	−	1.14960i	0.918651	−	0.395070i	$-0.129280\pi$
$278$	−0.812230	+	0.391149i	−0.0487143	+	0.0234596i
$279$	3.30645	+	4.14616i	0.197952	+	0.248224i
$280$	−0.340515	+	10.6969i	−0.0203497	+	0.639265i
$281$	−12.0031	+	15.0514i	−0.716043	+	0.897889i	−0.998107	−	0.0615064i	$-0.980410\pi$
$281$	−12.0031	+	15.0514i	−0.716043	+	0.897889i	0.282064	+	0.959396i	$0.408981\pi$
$282$	0.225175	−	0.986558i	0.0134090	−	0.0587487i
$283$	10.1923	−	12.7808i	0.605870	−	0.759737i	−0.380410	−	0.924818i	$-0.624217\pi$
$283$	10.1923	−	12.7808i	0.605870	−	0.759737i	0.986280	+	0.165081i	$0.0527885\pi$
$284$	−10.2298	+	4.92641i	−0.607027	+	0.292329i
$285$	−5.62871	−	7.05818i	−0.333416	−	0.418091i
$286$	−0.216756	−	0.104384i	−0.0128171	−	0.00617237i
$287$	−7.52845	−	16.9961i	−0.444390	−	1.00325i
$288$	−10.5888	+	5.09930i	−0.623951	+	0.300479i
$289$	−22.3540	−	10.7651i	−1.31494	−	0.633242i
$290$	−2.30141	−	10.0831i	−0.135143	−	0.592102i
$291$	−3.58171	−	1.72486i	−0.209964	−	0.101113i
$292$	−6.25534	+	7.84394i	−0.366066	+	0.459032i
$293$	−5.75881			−0.336433			−0.168217	−	0.985750i	$-0.553801\pi$
$293$	−5.75881			−0.336433			−0.168217	+	0.985750i	$0.553801\pi$
$294$	2.00660	+	2.87374i	0.117028	+	0.167600i
$295$	18.7871			1.09383
$296$	−4.51988	+	5.66775i	−0.262712	+	0.329431i
$297$	−1.81320	−	0.873189i	−0.105212	−	0.0506676i
$298$	1.45469	+	6.37341i	0.0842679	+	0.369202i
$299$	−4.59751	−	2.21405i	−0.265881	−	0.128042i
$300$	−1.54769	+	0.745329i	−0.0893561	+	0.0430316i
$301$	−29.2895	−	7.67325i	−1.68822	−	0.442279i
$302$	−4.52512	−	2.17918i	−0.260391	−	0.125398i
$303$	−6.40157	−	8.02732i	−0.367761	−	0.461158i
$304$	10.2767	−	4.94902i	0.589412	−	0.283846i
$305$	6.43781	−	8.07276i	0.368628	−	0.462245i
$306$	−1.75972	+	7.70983i	−0.100596	+	0.440742i
$307$	9.48498	−	11.8938i	0.541336	−	0.678814i	−0.433649	−	0.901082i	$-0.642774\pi$
$307$	9.48498	−	11.8938i	0.541336	−	0.678814i	0.974986	+	0.222267i	$0.0713458\pi$
$308$	−0.780981	−	1.76313i	−0.0445005	−	0.100464i
$309$	−4.86120	−	6.09575i	−0.276544	−	0.346775i
$310$	−2.38841	+	1.15020i	−0.135653	+	0.0653269i
$311$	1.70635	−	7.47603i	0.0967585	−	0.423927i	−0.903228	−	0.429161i	$-0.858809\pi$
$311$	1.70635	−	7.47603i	0.0967585	−	0.423927i	0.999986	+	0.00523483i	$0.00166631\pi$
$312$	1.84719			0.104576
$313$	25.2063			1.42474			0.712372	−	0.701802i	$-0.247621\pi$
$313$	25.2063			1.42474			0.712372	+	0.701802i	$0.247621\pi$
$314$	0.0686705	−	0.300865i	0.00387530	−	0.0169788i
$315$	−5.27667	+	10.1202i	−0.297307	+	0.570208i
$316$	5.16976	+	22.6502i	0.290822	+	1.27417i
$317$	−6.08568	−	26.6631i	−0.341806	−	1.49755i	−0.795259	−	0.606270i	$-0.792665\pi$
$317$	−6.08568	−	26.6631i	−0.341806	−	1.49755i	0.453453	−	0.891280i	$-0.350192\pi$
$318$	−3.59985	−	4.51406i	−0.201869	−	0.253136i
$319$	2.53758	+	3.18203i	0.142077	+	0.178159i
$320$	0.645712	+	2.82905i	0.0360964	+	0.158149i
$321$	−2.25330	−	9.87237i	−0.125767	−	0.551022i
$322$	3.04861	+	6.88250i	0.169893	+	0.383547i
$323$	7.35492	−	32.2240i	0.409238	−	1.79299i
$324$	−4.04043			−0.224468
$325$	−1.13243			−0.0628159
$326$	−0.736540	+	3.22699i	−0.0407932	+	0.178727i
$327$	15.2215	−	7.33027i	0.841749	−	0.405365i
$328$	9.01041	+	11.2987i	0.497517	+	0.623866i
$329$	5.24818	−	1.02336i	0.289342	−	0.0564198i
$330$	0.264917	−	0.332195i	0.0145832	−	0.0182868i
$331$	7.07277	−	30.9878i	0.388754	−	1.70324i	−0.280201	−	0.959941i	$-0.590401\pi$
$331$	7.07277	−	30.9878i	0.388754	−	1.70324i	0.668955	−	0.743303i	$-0.266742\pi$
$332$	10.3262	−	12.9486i	0.566723	−	0.710648i
$333$	−6.96522	+	3.35427i	−0.381692	+	0.183813i
$334$	−7.39016	−	9.26697i	−0.404371	−	0.507066i
$335$	12.3235	+	5.93467i	0.673303	+	0.324245i
$336$	4.03793	+	3.43591i	0.220287	+	0.187444i
$337$	7.82191	−	3.76683i	0.426087	−	0.205193i	−0.208536	−	0.978015i	$-0.566870\pi$
$337$	7.82191	−	3.76683i	0.426087	−	0.205193i	0.634623	+	0.772822i	$0.281156\pi$
$338$	0.502339	+	0.241914i	0.0273237	+	0.0131584i
$339$	2.75740	+	12.0809i	0.149761	+	0.656147i
$340$	19.3526	+	9.31970i	1.04954	+	0.505432i
$341$	0.650425	−	0.815607i	0.0352225	−	0.0441676i
$342$	−6.25155			−0.338045
$343$	−9.58960	+	15.8442i	−0.517790	+	0.855508i
$344$	23.5390			1.26914
$345$	5.61903	−	7.04604i	0.302518	−	0.379346i
$346$	6.45877	+	3.11038i	0.347226	+	0.167215i
$347$	0.796086	+	3.48788i	0.0427361	+	0.187239i	0.991791	−	0.127873i	$-0.0408150\pi$
$347$	0.796086	+	3.48788i	0.0427361	+	0.187239i	−0.949054	+	0.315112i	$0.897958\pi$
$348$	−12.8911	−	6.20802i	−0.691035	−	0.332785i
$349$	−28.4462	+	13.6990i	−1.52269	+	0.733288i	−0.993351	−	0.115123i	$-0.963274\pi$
$349$	−28.4462	+	13.6990i	−1.52269	+	0.733288i	−0.529338	+	0.848411i	$0.677560\pi$
$350$	1.27225	+	1.08257i	0.0680048	+	0.0578658i
$351$	4.20214	+	2.02364i	0.224294	+	0.108014i
$352$	1.44145	+	1.80753i	0.0768298	+	0.0963415i
$353$	−23.3214	+	11.2310i	−1.24127	+	0.597766i	−0.935159	−	0.354228i	$-0.884744\pi$
$353$	−23.3214	+	11.2310i	−1.24127	+	0.597766i	−0.306116	+	0.951994i	$0.599029\pi$
$354$	−2.98235	+	3.73974i	−0.158510	+	0.198765i
$355$	2.94160	−	12.8880i	0.156124	−	0.684023i
$356$	6.19449	−	7.76765i	0.328307	−	0.411684i
$357$	15.0796	−	2.94043i	0.798099	−	0.155624i
$358$	−2.74956	−	3.44784i	−0.145319	−	0.182224i
$359$	−16.6130	+	8.00042i	−0.876803	+	0.422246i	−0.817456	−	0.575991i	$-0.804616\pi$
$359$	−16.6130	+	8.00042i	−0.876803	+	0.422246i	−0.0593471	+	0.998237i	$0.518902\pi$
$360$	1.97443	−	8.65053i	0.104061	−	0.455923i
$361$	7.12898			0.375209
$362$	2.46637			0.129629
$363$	2.16097	−	9.46784i	0.113422	−	0.496933i
$364$	1.80995	+	4.08611i	0.0948670	+	0.214170i
$365$	−2.59925	−	11.3880i	−0.136051	−	0.596077i
$366$	0.584989	+	2.56300i	0.0305779	+	0.133970i
$367$	−1.34999	−	1.69283i	−0.0704688	−	0.0883651i	0.745348	−	0.666676i	$-0.232284\pi$
$367$	−1.34999	−	1.69283i	−0.0704688	−	0.0883651i	−0.815816	+	0.578311i	$0.803712\pi$
$368$	7.09949	+	8.90248i	0.370086	+	0.464074i
$369$	3.42937	+	15.0250i	0.178526	+	0.782172i
$370$	−0.859929	−	3.76760i	−0.0447056	−	0.195868i
$371$	14.1049	−	27.0519i	0.732288	−	1.40446i
$372$	−0.816071	+	3.57544i	−0.0423113	+	0.185378i
$373$	27.1639			1.40649			0.703246	−	0.710946i	$-0.251733\pi$
$373$	27.1639			1.40649			0.703246	+	0.710946i	$0.251733\pi$
$374$	1.55563			0.0804399
$375$	2.41003	−	10.5590i	0.124453	−	0.545266i
$376$	−3.74528	+	1.80363i	−0.193148	+	0.0930153i
$377$	−5.88092	−	7.37445i	−0.302883	−	0.379803i
$378$	−2.78644	−	6.29063i	−0.143319	−	0.323555i
$379$	14.8151	−	18.5776i	0.761003	−	0.954267i	−0.238856	−	0.971055i	$-0.576772\pi$
$379$	14.8151	−	18.5776i	0.761003	−	0.954267i	0.999859	+	0.0167875i	$0.00534389\pi$
$380$	−3.77846	+	16.5545i	−0.193831	+	0.849229i
$381$	−5.28978	+	6.63318i	−0.271004	+	0.339828i
$382$	−5.31637	+	2.56023i	−0.272009	+	0.130993i
$383$	−7.78290	−	9.75945i	−0.397688	−	0.498685i	0.542161	−	0.840274i	$-0.317606\pi$
$383$	−7.78290	−	9.75945i	−0.397688	−	0.498685i	−0.939849	+	0.341590i	$0.889035\pi$
$384$	−9.33600	−	4.49598i	−0.476426	−	0.229435i
$385$	2.17184	+	0.568979i	0.110687	+	0.0289978i
$386$	5.89524	−	2.83900i	0.300060	−	0.144501i
$387$	22.6165	+	10.8916i	1.14966	+	0.553649i
$388$	1.66386	+	7.28983i	0.0844695	+	0.370085i
$389$	13.0284	+	6.27416i	0.660568	+	0.318113i	0.733962	−	0.679190i	$-0.237669\pi$
$389$	13.0284	+	6.27416i	0.660568	+	0.318113i	−0.0733944	+	0.997303i	$0.523383\pi$
$390$	−0.613953	+	0.769873i	−0.0310887	+	0.0389840i
$391$	32.9958			1.66867
$392$	4.09021	−	13.8051i	0.206587	−	0.697261i
$393$	5.66439			0.285731
$394$	3.63394	−	4.55682i	0.183075	−	0.229569i
$395$	−24.3705	−	11.7362i	−1.22621	−	0.590514i
$396$	0.355753	+	1.55866i	0.0178773	+	0.0783254i
$397$	−31.6093	−	15.2222i	−1.58643	−	0.763982i	−0.587451	−	0.809259i	$-0.699869\pi$
$397$	−31.6093	−	15.2222i	−1.58643	−	0.763982i	−0.998974	+	0.0452770i	$0.985583\pi$
$398$	−8.85051	+	4.26218i	−0.443636	+	0.213644i
$399$	4.91884	+	11.1047i	0.246250	+	0.555930i
$400$	2.27670	+	1.09640i	0.113835	+	0.0548200i
$401$	1.18514	+	1.48612i	0.0591831	+	0.0742133i	0.810542	−	0.585681i	$-0.199173\pi$
$401$	1.18514	+	1.48612i	0.0591831	+	0.0742133i	−0.751359	+	0.659894i	$0.770601\pi$
$402$	−3.13762	+	1.51100i	−0.156490	+	0.0753618i
$403$	−1.50738	+	1.89019i	−0.0750879	+	0.0941573i
$404$	−4.29727	+	18.8276i	−0.213797	+	0.936707i
$405$	2.93300	−	3.67787i	0.145742	−	0.182755i
$406$	−0.442700	+	13.9070i	−0.0219708	+	0.690192i
$407$	0.948177	+	1.18898i	0.0469994	+	0.0589354i
$408$	−10.7613	+	5.18239i	−0.532766	+	0.256567i
$409$	−2.46222	+	10.7877i	−0.121749	+	0.533417i	0.876863	+	0.480741i	$0.159632\pi$
$409$	−2.46222	+	10.7877i	−0.121749	+	0.533417i	−0.998612	+	0.0526763i	$0.983225\pi$
$410$	−7.70389			−0.380468
$411$	8.31684			0.410240
$412$	−3.26324	+	14.2972i	−0.160768	+	0.704373i
$413$	−24.4499	−	6.40537i	−1.20310	−	0.315188i
$414$	−1.38871	−	6.08433i	−0.0682513	−	0.299028i
$415$	4.29078	+	18.7992i	0.210626	+	0.922814i
$416$	−3.34062	−	4.18900i	−0.163787	−	0.205383i
$417$	−0.905338	−	1.13526i	−0.0443346	−	0.0555938i
$418$	0.273649	+	1.19893i	0.0133846	+	0.0586418i
$419$	5.71609	+	25.0438i	0.279249	+	1.22347i	0.898745	+	0.438471i	$0.144480\pi$
$419$	5.71609	+	25.0438i	0.279249	+	1.22347i	−0.619496	+	0.785000i	$0.712663\pi$
$420$	−7.74690	+	1.51060i	−0.378010	+	0.0737096i
$421$	7.08715	−	31.0508i	0.345407	−	1.51333i	−0.442070	−	0.896981i	$-0.645756\pi$
$421$	7.08715	−	31.0508i	0.345407	−	1.51333i	0.787477	−	0.616345i	$-0.211387\pi$
$422$	−1.10231			−0.0536596
$423$	−4.43305			−0.215542
$424$	−5.27777	+	23.1234i	−0.256311	+	1.12297i
$425$	6.59731	−	3.17710i	0.320017	−	0.154112i
$426$	2.09850	+	2.63144i	0.101673	+	0.127494i
$427$	−11.1306	+	8.31107i	−0.538649	+	0.402201i
$428$	−11.8752	+	14.8911i	−0.574012	+	0.719788i
$429$	0.0862273	−	0.377787i	0.00416309	−	0.0182397i
$430$	−7.82371	+	9.81062i	−0.377293	+	0.473110i
$431$	11.1609	−	5.37483i	0.537604	−	0.258896i	−0.145321	−	0.989384i	$-0.546422\pi$
$431$	11.1609	−	5.37483i	0.537604	−	0.258896i	0.682925	+	0.730488i	$0.260707\pi$
$432$	−6.48895	−	8.13689i	−0.312200	−	0.391486i
$433$	−30.1440	−	14.5166i	−1.44863	−	0.697622i	−0.466272	−	0.884642i	$-0.654403\pi$
$433$	−30.1440	−	14.5166i	−1.44863	−	0.697622i	−0.982356	+	0.187019i	$0.940117\pi$
$434$	3.50047	−	0.682570i	0.168028	−	0.0327644i
$435$	15.0088	−	7.22784i	0.719615	−	0.346548i
$436$	−28.6300	−	13.7875i	−1.37113	−	0.660300i
$437$	5.80424	+	25.4300i	0.277654	+	1.21648i
$438$	2.67950	+	1.29038i	0.128032	+	0.0616568i
$439$	−7.08180	+	8.88030i	−0.337996	+	0.423834i	−0.921561	−	0.388232i	$-0.873086\pi$
$439$	−7.08180	+	8.88030i	−0.337996	+	0.423834i	0.583565	+	0.812066i	$0.301657\pi$
$440$	−1.74544			−0.0832106
$441$	10.3175	−	11.3715i	0.491312	−	0.541500i
$442$	−3.60523			−0.171483
$443$	−3.40891	+	4.27464i	−0.161962	+	0.203094i	−0.856190	−	0.516661i	$-0.827175\pi$
$443$	−3.40891	+	4.27464i	−0.161962	+	0.203094i	0.694228	+	0.719756i	$0.255746\pi$
$444$	−4.81680	−	2.31965i	−0.228595	−	0.110086i
$445$	2.57396	+	11.2773i	0.122018	+	0.534594i
$446$	14.8139	+	7.13400i	0.701458	+	0.337805i
$447$	−9.48684	+	4.56862i	−0.448712	+	0.216088i
$448$	0.124210	−	3.90192i	0.00586835	−	0.184348i
$449$	−8.80979	−	4.24257i	−0.415760	−	0.200219i	0.214297	−	0.976769i	$-0.431254\pi$
$449$	−8.80979	−	4.24257i	−0.415760	−	0.200219i	−0.630056	+	0.776549i	$0.716968\pi$
$450$	−0.863511	−	1.08281i	−0.0407063	−	0.0510441i
$451$	2.73142	−	1.31538i	0.128617	−	0.0619389i
$452$	14.5319	−	18.2224i	0.683522	−	0.857110i
$453$	1.80013	−	7.88687i	0.0845773	−	0.370558i
$454$	−3.74088	+	4.69092i	−0.175568	+	0.220156i
$455$	−5.03331	−	1.31863i	−0.235965	−	0.0618181i
$456$	−5.88710	−	7.38220i	−0.275689	−	0.345703i
$457$	−8.39071	+	4.04075i	−0.392501	+	0.189019i	−0.619716	−	0.784826i	$-0.712752\pi$
$457$	−8.39071	+	4.04075i	−0.392501	+	0.189019i	0.227215	+	0.973845i	$0.427038\pi$
$458$	3.45674	−	15.1450i	0.161523	−	0.707677i
$459$	−30.1582			−1.40767
$460$	−16.9510			−0.790346
$461$	0.508842	−	2.22938i	0.0236992	−	0.103833i	−0.961695	−	0.274122i	$-0.911613\pi$
$461$	0.508842	−	2.22938i	0.0236992	−	0.103833i	0.985394	+	0.170289i	$0.0544701\pi$
$462$	−0.458027	+	0.342002i	−0.0213093	+	0.0159114i
$463$	4.67201	+	20.4694i	0.217127	+	0.951294i	0.959589	+	0.281406i	$0.0908007\pi$
$463$	4.67201	+	20.4694i	0.217127	+	0.951294i	−0.742462	+	0.669888i	$0.766342\pi$
$464$	4.68351	+	20.5198i	0.217427	+	0.952608i
$465$	−2.66220	−	3.33830i	−0.123457	−	0.154810i
$466$	−9.91691	−	12.4354i	−0.459392	−	0.576059i
$467$	−1.39152	−	6.09666i	−0.0643920	−	0.282120i	0.932473	−	0.361239i	$-0.117646\pi$
$467$	−1.39152	−	6.09666i	−0.0643920	−	0.282120i	−0.996865	+	0.0791196i	$0.974789\pi$
$468$	−0.824469	−	3.61223i	−0.0381111	−	0.166976i
$469$	−14.0145	−	11.9251i	−0.647131	−	0.550649i
$470$	0.493106	−	2.16044i	0.0227453	−	0.0996536i
$471$	0.497063			0.0229035
$472$	19.6496			0.904446
$473$	1.09881	−	4.81420i	0.0505233	−	0.221357i
$474$	6.20487	−	2.98811i	0.284999	−	0.137248i
$475$	3.60913	+	4.52570i	0.165598	+	0.207653i
$476$	−22.0082	−	18.7269i	−1.00874	−	0.858348i
$477$	−15.7702	+	19.7752i	−0.722067	+	0.905443i
$478$	0.362393	−	1.58775i	0.0165755	−	0.0726219i
$479$	−8.56471	+	10.7398i	−0.391331	+	0.490714i	−0.938000	−	0.346635i	$-0.887324\pi$
$479$	−8.56471	+	10.7398i	−0.391331	+	0.490714i	0.546669	+	0.837349i	$0.315896\pi$
$480$	8.52561	−	4.10572i	0.389139	−	0.187400i
$481$	−2.19743	−	2.75549i	−0.100194	−	0.125639i
$482$	−0.683568	−	0.329189i	−0.0311357	−	0.0149942i
$483$	−9.71499	+	7.25404i	−0.442047	+	0.330070i
$484$	−16.4571	+	7.92531i	−0.748049	+	0.360241i
$485$	−7.84350	−	3.77723i	−0.356155	−	0.171515i
$486$	2.00248	+	8.77342i	0.0908341	+	0.397970i
$487$	18.1249	+	8.72848i	0.821317	+	0.395525i	0.796851	−	0.604175i	$-0.206497\pi$
$487$	18.1249	+	8.72848i	0.821317	+	0.395525i	0.0244654	+	0.999701i	$0.492212\pi$
$488$	6.73335	−	8.44335i	0.304804	−	0.382212i
$489$	−5.33135			−0.241092
$490$	4.39422	+	6.29314i	0.198510	+	0.284295i
$491$	23.7563			1.07211			0.536054	−	0.844183i	$-0.319914\pi$
$491$	23.7563			1.07211			0.536054	+	0.844183i	$0.319914\pi$
$492$	−6.64502	+	8.33259i	−0.299581	+	0.375662i
$493$	54.9505	+	26.4628i	2.47485	+	1.19182i
$494$	−0.634190	−	2.77857i	−0.0285336	−	0.125014i
$495$	−1.67704	−	0.807619i	−0.0753772	−	0.0362998i
$496$	4.86058	−	2.34073i	0.218246	−	0.105102i
$497$	−8.22232	+	15.7697i	−0.368822	+	0.707367i
$498$	−4.42327	−	2.13013i	−0.198211	−	0.0954536i
$499$	2.19443	+	2.75173i	0.0982363	+	0.123184i	0.828520	−	0.559960i	$-0.189183\pi$
$499$	2.19443	+	2.75173i	0.0982363	+	0.123184i	−0.730283	+	0.683144i	$0.760612\pi$
$500$	−18.3538	+	8.83871i	−0.820806	+	0.395279i
$501$	11.9033	−	14.9262i	0.531799	−	0.666854i
$502$	0.606857	−	2.65881i	0.0270853	−	0.118669i
$503$	−4.92411	+	6.17464i	−0.219555	+	0.275314i	−0.879395	−	0.476093i	$-0.842053\pi$
$503$	−4.92411	+	6.17464i	−0.219555	+	0.275314i	0.659840	+	0.751406i	$0.270624\pi$
$504$	−5.51890	+	10.5848i	−0.245831	+	0.471482i
$505$	−14.0187	−	17.5788i	−0.623822	−	0.782248i
$506$	−1.10608	+	0.532658i	−0.0491710	+	0.0236795i
$507$	−0.199834	+	0.875532i	−0.00887496	+	0.0388837i
$508$	15.9578			0.708013
$509$	8.43590			0.373915			0.186957	−	0.982368i	$-0.440137\pi$
$509$	8.43590			0.373915			0.186957	+	0.982368i	$0.440137\pi$
$510$	1.41685	−	6.20760i	0.0627390	−	0.274877i
$511$	−0.499993	+	15.7068i	−0.0221184	+	0.694826i
$512$	4.70310	+	20.6056i	0.207850	+	0.910648i
$513$	−5.30509	−	23.2431i	−0.234225	−	1.02621i
$514$	1.81101	+	2.27093i	0.0798801	+	0.100166i
$515$	−10.6454	−	13.3489i	−0.469094	−	0.588225i
$516$	3.86288	+	16.9244i	0.170054	+	0.745055i
$517$	0.194048	+	0.850178i	0.00853421	+	0.0373908i
$518$	−0.165417	+	5.19639i	−0.00726799	+	0.228316i
$519$	−2.56935	+	11.2571i	−0.112782	+	0.494130i
$520$	4.04511			0.177390
$521$	−35.3313			−1.54789			−0.773947	−	0.633251i	$-0.781720\pi$
$521$	−35.3313			−1.54789			−0.773947	+	0.633251i	$0.781720\pi$
$522$	2.56693	−	11.2465i	0.112351	−	0.492244i
$523$	−32.5087	+	15.6554i	−1.42151	+	0.684562i	−0.977397	−	0.211411i	$-0.932194\pi$
$523$	−32.5087	+	15.6554i	−1.42151	+	0.684562i	−0.444109	+	0.895973i	$0.646480\pi$
$524$	−6.64273	−	8.32972i	−0.290189	−	0.363885i
$525$	−1.24398	+	2.38584i	−0.0542916	+	0.104126i
$526$	4.87052	−	6.10743i	0.212365	−	0.266297i
$527$	3.47864	−	15.2409i	0.151532	−	0.663905i
$528$	−0.539123	+	0.676039i	−0.0234623	+	0.0294208i
$529$	−2.73815	+	1.31862i	−0.119050	+	0.0573314i
$530$	−7.88322	−	9.88524i	−0.342425	−	0.429387i
$531$	18.8795	+	9.09190i	0.819302	+	0.394555i
$532$	10.5615	−	20.2560i	0.457900	−	0.878211i
$533$	−6.33014	+	3.04844i	−0.274189	+	0.132042i
$534$	−2.65344	−	1.27783i	−0.114826	−	0.0552971i
$535$	−4.93446	−	21.6193i	−0.213335	−	0.934683i
$536$	12.8892	+	6.20710i	0.556728	+	0.268106i
$537$	4.42869	−	5.55341i	0.191112	−	0.239647i
$538$	5.42303			0.233803
$539$	−2.63248	−	1.48095i	−0.113389	−	0.0637892i
$540$	15.4933			0.666725
$541$	−16.4496	+	20.6271i	−0.707223	+	0.886829i	−0.997540	−	0.0701012i	$-0.977668\pi$
$541$	−16.4496	+	20.6271i	−0.707223	+	0.886829i	0.290317	+	0.956930i	$0.406239\pi$
$542$	−0.333802	−	0.160751i	−0.0143380	−	0.00690483i
$543$	0.883976	+	3.87295i	0.0379350	+	0.166204i
$544$	31.2142	+	15.0320i	1.33830	+	0.644491i
$545$	33.3331	−	16.0524i	1.42783	−	0.687609i
$546$	1.06149	−	0.792600i	0.0454276	−	0.0339201i
$547$	17.7900	+	8.56721i	0.760646	+	0.366308i	0.773654	−	0.633608i	$-0.218427\pi$
$547$	17.7900	+	8.56721i	0.760646	+	0.366308i	−0.0130089	+	0.999915i	$0.504141\pi$
$548$	−9.75331	−	12.2303i	−0.416641	−	0.522451i
$549$	10.3762	−	4.99693i	0.442846	−	0.213264i
$550$	−0.169864	+	0.213003i	−0.00724305	+	0.00908249i
$551$	−10.7287	+	47.0056i	−0.457059	+	2.00251i
$552$	5.87697	−	7.36949i	0.250141	−	0.313666i
$553$	27.7148	+	23.5827i	1.17855	+	1.00284i
$554$	6.82232	+	8.55492i	0.289853	+	0.363464i
$555$	5.60808	−	2.70071i	0.238050	−	0.114639i
$556$	−0.607738	+	2.66267i	−0.0257738	+	0.112923i
$557$	−19.4505			−0.824146			−0.412073	−	0.911151i	$-0.635195\pi$
$557$	−19.4505			−0.824146			−0.412073	+	0.911151i	$0.635195\pi$
$558$	−2.95679			−0.125171
$559$	−2.54652	+	11.1571i	−0.107707	+	0.471893i
$560$	8.84257	+	7.52421i	0.373667	+	0.317956i
$561$	0.557559	+	2.44282i	0.0235401	+	0.103136i
$562$	−2.38848	−	10.4646i	−0.100752	−	0.441422i
$563$	21.4794	+	26.9344i	0.905250	+	1.13515i	0.990324	+	0.138774i	$0.0443160\pi$
$563$	21.4794	+	26.9344i	0.905250	+	1.13515i	−0.0850737	+	0.996375i	$0.527113\pi$
$564$	−1.91142	−	2.39684i	−0.0804853	−	0.100925i
$565$	6.03836	+	26.4558i	0.254036	+	1.11300i
$566$	2.02816	+	8.88594i	0.0852498	+	0.373504i
$567$	−5.07100	+	3.78644i	−0.212962	+	0.159015i
$568$	3.07663	−	13.4796i	0.129093	−	0.565592i
$569$	36.0682			1.51206			0.756028	−	0.654539i	$-0.227137\pi$
$569$	36.0682			1.51206			0.756028	+	0.654539i	$0.227137\pi$
$570$	5.03347			0.210829
$571$	9.22256	−	40.4067i	0.385952	−	1.69097i	−0.292454	−	0.956280i	$-0.594472\pi$
$571$	9.22256	−	40.4067i	0.385952	−	1.69097i	0.678406	−	0.734687i	$-0.262671\pi$
$572$	−0.656671	+	0.316236i	−0.0274568	+	0.0132225i
$573$	−5.92581	−	7.43073i	−0.247554	−	0.310423i
$574$	10.0260	+	2.62660i	0.418475	+	0.109632i
$575$	−3.60291	+	4.51791i	−0.150252	+	0.188410i
$576$	−0.720211	+	3.15545i	−0.0300088	+	0.131477i
$577$	21.9161	−	27.4820i	0.912380	−	1.14409i	−0.0767503	−	0.997050i	$-0.524454\pi$
$577$	21.9161	−	27.4820i	0.912380	−	1.14409i	0.989131	−	0.147039i	$-0.0469741\pi$
$578$	12.4636	−	6.00214i	0.518416	−	0.249656i
$579$	6.57103	+	8.23981i	0.273083	+	0.342435i
$580$	−28.2299	−	13.5948i	−1.17218	−	0.564493i
$581$	0.825378	−	25.9284i	0.0342424	−	1.07569i
$582$	1.99700	−	0.961704i	0.0827783	−	0.0398639i
$583$	4.48283	+	2.15882i	0.185660	+	0.0894090i
$584$	−2.71857	−	11.9108i	−0.112495	−	0.492873i
$585$	3.88659	+	1.87168i	0.160691	+	0.0773845i
$586$	2.00193	−	2.51034i	0.0826991	−	0.103701i
$587$	9.33709			0.385383			0.192691	−	0.981259i	$-0.438278\pi$
$587$	9.33709			0.385383			0.192691	+	0.981259i	$0.438278\pi$
$588$	10.5970	+	0.675350i	0.437011	+	0.0278509i
$589$	12.3582			0.509210
$590$	−6.53097	+	8.18957i	−0.268876	+	0.337159i
$591$	8.45805	+	4.07318i	0.347918	+	0.167548i
$592$	1.75001	+	7.66730i	0.0719250	+	0.315124i
$593$	28.9599	+	13.9464i	1.18924	+	0.572708i	0.920591	−	0.390529i	$-0.127708\pi$
$593$	28.9599	+	13.9464i	1.18924	+	0.572708i	0.268651	+	0.963238i	$0.413422\pi$
$594$	1.01096	−	0.486851i	0.0414800	−	0.0199757i
$595$	33.0225	−	6.43919i	1.35379	−	0.263981i
$596$	17.8437	+	8.59309i	0.730908	+	0.351987i
$597$	−9.86507	−	12.3704i	−0.403750	−	0.506287i
$598$	2.56336	−	1.23445i	0.104824	−	0.0504804i
$599$	3.64809	−	4.57455i	0.149057	−	0.186911i	−0.701697	−	0.712475i	$-0.747574\pi$
$599$	3.64809	−	4.57455i	0.149057	−	0.186911i	0.850754	+	0.525564i	$0.176146\pi$
$600$	0.465472	−	2.03937i	0.0190028	−	0.0832568i
$601$	−16.6664	+	20.8990i	−0.679836	+	0.852488i	−0.995339	−	0.0964370i	$-0.969255\pi$
$601$	−16.6664	+	20.8990i	−0.679836	+	0.852488i	0.315503	+	0.948925i	$0.397827\pi$
$602$	13.5268	−	10.1002i	0.551310	−	0.411655i
$603$	9.51202	+	11.9277i	0.387359	+	0.485733i
$604$	−13.7090	+	6.60191i	−0.557812	+	0.268628i
$605$	4.73226	−	20.7334i	0.192394	−	0.842932i
$606$	5.72459			0.232546
$607$	9.11161			0.369829			0.184914	−	0.982755i	$-0.440799\pi$
$607$	9.11161			0.369829			0.184914	+	0.982755i	$0.440799\pi$
$608$	−6.09438	+	26.7012i	−0.247160	+	1.08288i
$609$	−21.9969	+	4.28926i	−0.891359	+	0.173810i
$610$	1.28105	+	5.61266i	0.0518683	+	0.227250i
$611$	−0.449711	−	1.97031i	−0.0181934	−	0.0797104i
$612$	14.9375	+	18.7311i	0.603813	+	0.757158i
$613$	−0.323188	−	0.405266i	−0.0130535	−	0.0163685i	0.775262	−	0.631640i	$-0.217618\pi$
$613$	−0.323188	−	0.405266i	−0.0130535	−	0.0163685i	−0.788315	+	0.615271i	$0.789046\pi$
$614$	1.88741	+	8.26926i	0.0761695	+	0.333720i
$615$	−2.76117	−	12.0975i	−0.111341	−	0.487817i
$616$	2.27154	+	0.595098i	0.0915230	+	0.0239772i
$617$	−1.91881	+	8.40687i	−0.0772485	+	0.338448i	−0.998753	−	0.0499192i	$-0.984104\pi$
$617$	−1.91881	+	8.40687i	−0.0772485	+	0.338448i	0.921505	+	0.388367i	$0.126961\pi$
$618$	4.34712			0.174867
$619$	23.4659			0.943173			0.471586	−	0.881820i	$-0.343682\pi$
$619$	23.4659			0.943173			0.471586	+	0.881820i	$0.343682\pi$
$620$	−1.78709	+	7.82977i	−0.0717714	+	0.314451i
$621$	21.4429	−	10.3264i	0.860474	−	0.414382i
$622$	2.66572	+	3.34271i	0.106886	+	0.134030i
$623$	0.495129	−	15.5540i	0.0198369	−	0.623157i
$624$	1.24943	−	1.56674i	0.0500174	−	0.0627198i
$625$	4.01772	−	17.6028i	0.160709	−	0.704110i
$626$	−8.76245	+	10.9878i	−0.350218	+	0.439159i
$627$	−1.78462	+	0.859426i	−0.0712707	+	0.0343222i
$628$	−0.582915	−	0.730953i	−0.0232608	−	0.0291682i
$629$	20.5325	+	9.88791i	0.818683	+	0.394257i
$630$	−2.57720	−	5.81824i	−0.102678	−	0.231804i
$631$	−24.3559	+	11.7292i	−0.969592	+	0.466931i	−0.850513	−	0.525954i	$-0.823709\pi$
$631$	−24.3559	+	11.7292i	−0.969592	+	0.466931i	−0.119079	+	0.992885i	$0.537994\pi$
$632$	−25.4893	−	12.2750i	−1.01391	−	0.488273i
$633$	−0.395082	−	1.73097i	−0.0157031	−	0.0687997i
$634$	13.7384	+	6.61606i	0.545621	+	0.262757i
$635$	−11.5840	+	14.5258i	−0.459696	+	0.576440i
$636$	−17.4917			−0.693590
$637$	6.10084	+	3.43216i	0.241724	+	0.135987i
$638$	−2.26923			−0.0898396
$639$	9.19310	−	11.5278i	0.363674	−	0.456032i
$640$	−20.4447	−	9.84564i	−0.808147	−	0.389183i
$641$	−1.09013	−	4.77616i	−0.0430574	−	0.188647i	0.948826	−	0.315800i	$-0.102273\pi$
$641$	−1.09013	−	4.77616i	−0.0430574	−	0.188647i	−0.991883	+	0.127154i	$0.959416\pi$
$642$	5.08682	+	2.44968i	0.200761	+	0.0966813i
$643$	12.0958	−	5.82503i	0.477012	−	0.229717i	−0.179899	−	0.983685i	$-0.557577\pi$
$643$	12.0958	−	5.82503i	0.477012	−	0.229717i	0.656911	+	0.753968i	$0.271863\pi$
$644$	22.0603	+	5.77936i	0.869298	+	0.227739i
$645$	−18.2098	−	8.76938i	−0.717011	−	0.345294i
$646$	11.4901	+	14.4081i	0.452072	+	0.566880i
$647$	−35.5830	+	17.1359i	−1.39891	+	0.673681i	−0.972941	−	0.231055i	$-0.925782\pi$
$647$	−35.5830	+	17.1359i	−1.39891	+	0.673681i	−0.425972	+	0.904736i	$0.640068\pi$
$648$	3.06764	−	3.84670i	0.120508	−	0.151113i
$649$	0.917249	−	4.01873i	0.0360052	−	0.157749i
$650$	0.393666	−	0.493642i	0.0154409	−	0.0193622i
$651$	2.32646	+	5.25217i	0.0911810	+	0.205849i
$652$	6.25218	+	7.83998i	0.244854	+	0.307037i
$653$	21.6342	−	10.4185i	0.846611	−	0.407706i	0.0402925	−	0.999188i	$-0.487171\pi$
$653$	21.6342	−	10.4185i	0.846611	−	0.407706i	0.806319	+	0.591482i	$0.201457\pi$
$654$	−2.09607	+	9.18346i	−0.0819626	+	0.359102i
$655$	12.4043			0.484676
$656$	15.6779			0.612119
$657$	2.89913	−	12.7019i	0.113106	−	0.495549i
$658$	−1.37832	+	2.64350i	−0.0537327	+	0.103055i
$659$	2.43978	+	10.6894i	0.0950403	+	0.416399i	0.999958	−	0.00918833i	$-0.00292478\pi$
$659$	2.43978	+	10.6894i	0.0950403	+	0.416399i	−0.904918	+	0.425587i	$0.860068\pi$
$660$	−0.286436	−	1.25496i	−0.0111495	−	0.0488492i
$661$	2.21475	+	2.77721i	0.0861437	+	0.108021i	0.823036	−	0.567990i	$-0.192279\pi$
$661$	2.21475	+	2.77721i	0.0861437	+	0.108021i	−0.736892	+	0.676011i	$0.763707\pi$
$662$	11.0493	+	13.8554i	0.429444	+	0.538505i
$663$	−1.29216	−	5.66132i	−0.0501833	−	0.219867i
$664$	4.48776	+	19.6621i	0.174159	+	0.763039i
$665$	10.7717	+	24.3179i	0.417707	+	0.943008i
$666$	0.959143	−	4.20228i	0.0371660	−	0.162835i
$667$	−48.1315			−1.86366
$668$	−35.9088			−1.38935
$669$	−5.89309	+	25.8193i	−0.227840	+	0.998232i
$670$	−6.87100	+	3.30890i	−0.265450	+	0.127834i
$671$	−1.41252	−	1.77124i	−0.0545296	−	0.0683780i
$672$	−12.4952	+	2.43648i	−0.482012	+	0.0939893i
$673$	11.8569	−	14.8681i	0.457050	−	0.573123i	−0.498897	−	0.866661i	$-0.666261\pi$
$673$	11.8569	−	14.8681i	0.457050	−	0.573123i	0.955947	+	0.293538i	$0.0948328\pi$
$674$	−1.07711	+	4.71914i	−0.0414889	+	0.181775i
$675$	3.29307	−	4.12938i	0.126750	−	0.158940i
$676$	1.52186	−	0.732887i	0.0585329	−	0.0281880i
$677$	−31.9720	−	40.0916i	−1.22878	−	1.54085i	−0.747465	−	0.664302i	$-0.768729\pi$
$677$	−31.9720	−	40.0916i	−1.22878	−	1.54085i	−0.481320	−	0.876545i	$-0.659842\pi$
$678$	−6.22480	−	2.99771i	−0.239062	−	0.115126i
$679$	8.91982	+	7.58994i	0.342311	+	0.291275i
$680$	−23.5660	+	11.3488i	−0.903715	+	0.435206i
$681$	−8.70696	−	4.19305i	−0.333651	−	0.160678i
$682$	0.129427	+	0.567058i	0.00495603	+	0.0217138i
$683$	1.12902	+	0.543709i	0.0432009	+	0.0208045i	0.455359	−	0.890308i	$-0.349511\pi$
$683$	1.12902	+	0.543709i	0.0432009	+	0.0208045i	−0.412159	+	0.911112i	$0.635225\pi$
$684$	−11.8085	+	14.8074i	−0.451508	+	0.566174i
$685$	18.2129			0.695877
$686$	−3.57308	−	9.68816i	−0.136421	−	0.369896i
$687$	25.0212			0.954617
$688$	15.9218	−	19.9652i	0.607011	−	0.761168i
$689$	−10.3891	−	5.00312i	−0.395793	−	0.190604i
$690$	1.11812	+	4.89882i	0.0425663	+	0.186495i
$691$	−33.0151	−	15.8992i	−1.25595	−	0.604835i	−0.316851	−	0.948475i	$-0.602626\pi$
$691$	−33.0151	−	15.8992i	−1.25595	−	0.604835i	−0.939101	+	0.343640i	$0.888340\pi$
$692$	19.5671	−	9.42302i	0.743829	−	0.358209i
$693$	1.90717	+	1.62282i	0.0724473	+	0.0616460i
$694$	−1.79716	−	0.865465i	−0.0682191	−	0.0328526i
$695$	−1.98258	−	2.48607i	−0.0752035	−	0.0943022i
$696$	15.6977	−	7.55964i	0.595021	−	0.286547i
$697$	28.3256	−	35.5191i	1.07291	−	1.34538i
$698$	3.91717	−	17.1622i	0.148267	−	0.649600i
$699$	15.9731	−	20.0296i	0.604158	−	0.757590i
$700$	4.96731	−	0.968594i	0.187747	−	0.0366094i
$701$	−12.4690	−	15.6356i	−0.470948	−	0.590550i	0.488455	−	0.872589i	$-0.337561\pi$
$701$	−12.4690	−	15.6356i	−0.470948	−	0.590550i	−0.959403	+	0.282039i	$0.908989\pi$
$702$	−2.34292	+	1.12829i	−0.0884278	+	0.0425846i
$703$	−4.00883	+	17.5638i	−0.151196	+	0.662432i
$704$	0.636683			0.0239959
$705$	3.56929			0.134427
$706$	3.21147	−	14.0704i	0.120865	−	0.529545i
$707$	12.2507	+	27.6569i	0.460734	+	1.04015i
$708$	3.22460	+	14.1279i	0.121188	+	0.530959i
$709$	8.35427	+	36.6024i	0.313751	+	1.37463i	0.848309	+	0.529502i	$0.177621\pi$
$709$	8.35427	+	36.6024i	0.313751	+	1.37463i	−0.534558	+	0.845132i	$0.679522\pi$
$710$	4.59546	+	5.76253i	0.172465	+	0.216264i
$711$	−18.8107	−	23.5879i	−0.705456	−	0.884614i
$712$	2.69212	+	11.7950i	0.100892	+	0.442035i
$713$	2.74522	+	12.0276i	0.102809	+	0.450437i
$714$	−3.96035	+	7.59560i	−0.148212	+	0.284258i
$715$	0.188827	−	0.827306i	0.00706173	−	0.0309395i
$716$	−13.3601			−0.499291
$717$	2.62314			0.0979629
$718$	2.28769	−	10.0230i	0.0853759	−	0.374056i
$719$	37.0157	−	17.8258i	1.38045	−	0.664791i	0.411357	−	0.911474i	$-0.365055\pi$
$719$	37.0157	−	17.8258i	1.38045	−	0.664791i	0.969096	+	0.246683i	$0.0793408\pi$
$720$	−6.00168	−	7.52586i	−0.223669	−	0.280472i
$721$	9.30287	+	21.0020i	0.346457	+	0.782156i
$722$	−2.47824	+	3.10762i	−0.0922306	+	0.115654i
$723$	0.271929	−	1.19140i	0.0101131	−	0.0443086i
$724$	4.65868	−	5.84181i	0.173139	−	0.217109i
$725$	−9.62360	+	4.63448i	−0.357412	+	0.172120i
$726$	3.37594	+	4.23330i	0.125293	+	0.157112i
$727$	19.8984	+	9.58256i	0.737991	+	0.355398i	0.764821	−	0.644242i	$-0.222827\pi$
$727$	19.8984	+	9.58256i	0.737991	+	0.355398i	−0.0268306	+	0.999640i	$0.508541\pi$
$728$	−5.26437	−	1.37916i	−0.195110	−	0.0511150i
$729$	−6.59387	+	3.17544i	−0.244217	+	0.117609i
$730$	5.86778	+	2.82577i	0.217176	+	0.104587i
$731$	−16.4662	−	72.1431i	−0.609024	−	2.66831i
$732$	7.17568	+	3.45563i	0.265221	+	0.127724i
$733$	12.4679	−	15.6342i	0.460511	−	0.577463i	−0.496308	−	0.868147i	$-0.665311\pi$
$733$	12.4679	−	15.6342i	0.460511	−	0.577463i	0.956819	+	0.290684i	$0.0938827\pi$
$734$	1.20722			0.0445595
$735$	−8.30722	+	9.15581i	−0.306416	+	0.337717i
$736$	−27.3407			−1.00779
$737$	1.87115	−	2.34634i	0.0689245	−	0.0864287i
$738$	−7.74177	−	3.72824i	−0.284978	−	0.137238i
$739$	−10.9399	−	47.9307i	−0.402430	−	1.76316i	−0.617509	−	0.786564i	$-0.711858\pi$
$739$	−10.9399	−	47.9307i	−0.402430	−	1.76316i	0.215079	−	0.976597i	$-0.430999\pi$
$740$	−10.5482	−	5.07974i	−0.387759	−	0.186735i
$741$	4.13591	−	1.99175i	0.151936	−	0.0731687i
$742$	6.88901	+	15.5525i	0.252904	+	0.570951i
$743$	1.86808	+	0.899618i	0.0685331	+	0.0330038i	0.467836	−	0.883815i	$-0.345034\pi$
$743$	1.86808	+	0.899618i	0.0685331	+	0.0330038i	−0.399303	+	0.916819i	$0.630748\pi$
$744$	−2.78441	−	3.49155i	−0.102082	−	0.128006i
$745$	−20.7750	+	10.0047i	−0.761137	+	0.366544i
$746$	−9.44297	+	11.8411i	−0.345732	+	0.433534i
$747$	−4.78583	+	20.9681i	−0.175104	+	0.767182i
$748$	2.93842	−	3.68466i	0.107439	−	0.134724i
$749$	−0.949195	+	29.8180i	−0.0346828	+	1.08953i
$750$	3.76503	+	4.72119i	0.137479	+	0.172394i
$751$	−5.33215	+	2.56783i	−0.194573	+	0.0937013i	−0.528633	−	0.848850i	$-0.677295\pi$
$751$	−5.33215	+	2.56783i	−0.194573	+	0.0937013i	0.334060	+	0.942552i	$0.391581\pi$
$752$	−1.00350	+	4.39663i	−0.0365940	+	0.160329i
$753$	4.39266			0.160077
$754$	5.25901			0.191522
$755$	3.94205	−	17.2713i	0.143466	−	0.628566i
$756$	−20.1632	−	5.28235i	−0.733328	−	0.192117i
$757$	1.76805	+	7.74634i	0.0642609	+	0.281545i	0.996842	−	0.0794163i	$-0.0253056\pi$
$757$	1.76805	+	7.74634i	0.0642609	+	0.281545i	−0.932581	+	0.360962i	$0.882448\pi$
$758$	2.94805	+	12.9162i	0.107078	+	0.469139i
$759$	−1.23287	−	1.54597i	−0.0447503	−	0.0561151i
$760$	−12.8920	−	16.1661i	−0.467643	−	0.586406i
$761$	−5.38655	−	23.6000i	−0.195262	−	0.855500i	−0.973710	−	0.227791i	$-0.926850\pi$
$761$	−5.38655	−	23.6000i	−0.195262	−	0.855500i	0.778448	−	0.627709i	$-0.216007\pi$
$762$	−1.05261	−	4.61178i	−0.0381320	−	0.167067i
$763$	−48.8532	+	9.52606i	−1.76860	+	0.344867i
$764$	−3.97789	+	17.4283i	−0.143915	+	0.630533i
$765$	−27.8936			−1.00849
$766$	6.95984			0.251469
$767$	−2.12575	+	9.31353i	−0.0767565	+	0.336292i
$768$	2.81758	−	1.35688i	0.101671	−	0.0489620i
$769$	13.8146	+	17.3229i	0.498167	+	0.624681i	0.965815	−	0.259233i	$-0.0834699\pi$
$769$	13.8146	+	17.3229i	0.498167	+	0.624681i	−0.467648	+	0.883915i	$0.654898\pi$
$770$	−1.00302	+	0.748942i	−0.0361464	+	0.0269900i
$771$	−2.91697	+	3.65777i	−0.105052	+	0.131731i
$772$	4.41102	−	19.3260i	0.158756	−	0.695556i
$773$	−0.506735	+	0.635426i	−0.0182260	+	0.0228547i	−0.790861	−	0.611996i	$-0.790367\pi$
$773$	−0.506735	+	0.635426i	−0.0182260	+	0.0228547i	0.772635	+	0.634851i	$0.218938\pi$
$774$	−12.6100	+	6.07264i	−0.453256	+	0.218276i
$775$	1.70700	+	2.14051i	0.0613173	+	0.0768895i
$776$	−8.20356	−	3.95063i	−0.294491	−	0.141819i
$777$	−8.21922	+	1.60270i	−0.294863	+	0.0574964i
$778$	−7.26406	+	3.49819i	−0.260429	+	0.125416i
$779$	32.3575	+	15.5825i	1.15933	+	0.558302i
$780$	0.663825	+	2.90841i	0.0237687	+	0.104138i
$781$	−2.61323	−	1.25846i	−0.0935087	−	0.0450314i
$782$	−11.4703	+	14.3833i	−0.410178	+	0.514346i
$783$	43.9923			1.57216
$784$	−8.94251	−	12.8069i	−0.319375	−	0.457391i
$785$	1.08851			0.0388505
$786$	−1.96911	+	2.46918i	−0.0702358	+	0.0880729i
$787$	−40.8820	−	19.6877i	−1.45728	−	0.701791i	−0.473442	−	0.880825i	$-0.656988\pi$
$787$	−40.8820	−	19.6877i	−1.45728	−	0.701791i	−0.983843	+	0.179034i	$0.942703\pi$
$788$	−3.92912	−	17.2146i	−0.139969	−	0.613245i
$789$	11.3362	+	5.45923i	0.403580	+	0.194354i
$790$	13.5879	−	6.54359i	0.483436	−	0.232810i
$791$	1.16154	−	36.4887i	0.0412997	−	1.29739i
$792$	−1.75402	−	0.844693i	−0.0623265	−	0.0300149i
$793$	3.27355	+	4.10490i	0.116247	+	0.145769i
$794$	17.6239	−	8.48723i	0.625449	−	0.301200i
$795$	12.6974	−	15.9221i	0.450331	−	0.564698i
$796$	−6.62226	+	29.0140i	−0.234720	+	1.02837i
$797$	8.65976	−	10.8590i	0.306744	−	0.384645i	−0.604435	−	0.796654i	$-0.706601\pi$
$797$	8.65976	−	10.8590i	0.306744	−	0.384645i	0.911180	+	0.412009i	$0.135173\pi$
$798$	−6.55062	−	1.71613i	−0.231890	−	0.0607504i
$799$	8.14776	+	10.2170i	0.288247	+	0.361450i
$800$	−5.46662	+	2.63258i	−0.193274	+	0.0930759i
$801$	−2.87093	+	12.5784i	−0.101439	+	0.444435i
$802$	−1.05981			−0.0374232
$803$	−2.56290			−0.0904428
$804$	−2.34768	+	10.2858i	−0.0827962	+	0.362754i
$805$	−21.2746	+	15.8854i	−0.749832	+	0.559888i
$806$	−0.299952	−	1.31417i	−0.0105654	−	0.0462898i
$807$	1.94368	+	8.51583i	0.0684208	+	0.299771i
$808$	−14.6622	−	18.3858i	−0.515814	−	0.646810i
$809$	2.54287	+	3.18866i	0.0894025	+	0.112107i	0.824521	−	0.565832i	$-0.191445\pi$
$809$	2.54287	+	3.18866i	0.0894025	+	0.112107i	−0.735118	+	0.677939i	$0.762873\pi$
$810$	0.583634	+	2.55707i	0.0205068	+	0.0898463i
$811$	4.92131	+	21.5617i	0.172810	+	0.757132i	0.984833	+	0.173506i	$0.0555095\pi$
$811$	4.92131	+	21.5617i	0.172810	+	0.757132i	−0.812022	+	0.583626i	$0.801633\pi$
$812$	32.1037	+	27.3173i	1.12662	+	0.958648i
$813$	0.132789	−	0.581787i	0.00465711	−	0.0204042i
$814$	−0.847905			−0.0297191
$815$	−11.6750			−0.408958
$816$	−2.88337	+	12.6329i	−0.100938	+	0.442239i
$817$	52.7045	−	25.3812i	1.84390	−	0.887975i
$818$	−3.84656	−	4.82344i	−0.134492	−	0.168648i
$819$	−4.41992	−	3.76094i	−0.154445	−	0.131418i
$820$	−14.5518	+	18.2473i	−0.508170	+	0.637225i
$821$	−7.67062	+	33.6072i	−0.267706	+	1.17290i	0.644967	+	0.764210i	$0.276871\pi$
$821$	−7.67062	+	33.6072i	−0.267706	+	1.17290i	−0.912674	+	0.408689i	$0.865986\pi$
$822$	−2.89118	+	3.62543i	−0.100841	+	0.126451i
$823$	3.52736	−	1.69869i	0.122956	−	0.0592125i	−0.371394	−	0.928475i	$-0.621120\pi$
$823$	3.52736	−	1.69869i	0.122956	−	0.0592125i	0.494350	+	0.869263i	$0.335406\pi$
$824$	−11.1341	−	13.9617i	−0.387875	−	0.486380i
$825$	−0.395362	−	0.190396i	−0.0137648	−	0.00662875i
$826$	11.2917	−	8.43133i	0.392888	−	0.293364i
$827$	−43.5601	+	20.9774i	−1.51473	+	0.729457i	−0.992373	−	0.123269i	$-0.960662\pi$
$827$	−43.5601	+	20.9774i	−1.51473	+	0.729457i	−0.522359	+	0.852725i	$0.674948\pi$
$828$	−17.0344	−	8.20332i	−0.591986	−	0.285085i
$829$	−8.05480	−	35.2904i	−0.279755	−	1.22569i	−0.898104	−	0.439783i	$-0.855055\pi$
$829$	−8.05480	−	35.2904i	−0.279755	−	1.22569i	0.618349	−	0.785903i	$-0.287802\pi$
$830$	−9.68641	−	4.66473i	−0.336220	−	0.161915i
$831$	−10.9886	+	13.7793i	−0.381192	+	0.478000i
$832$	−1.47553			−0.0511549
$833$	−45.1714	−	2.87880i	−1.56510	−	0.0997443i
$834$	0.809597			0.0280340
$835$	26.0667	−	32.6866i	0.902074	−	1.13117i
$836$	3.35667	+	1.61649i	0.116093	+	0.0559075i
$837$	−2.50914	−	10.9933i	−0.0867285	−	0.379983i
$838$	−12.9040	−	6.21425i	−0.445762	−	0.214668i
$839$	−10.8841	+	5.24152i	−0.375762	+	0.180957i	−0.612226	−	0.790683i	$-0.709726\pi$
$839$	−10.8841	+	5.24152i	−0.375762	+	0.180957i	0.236464	+	0.971640i	$0.424011\pi$
$840$	4.44356	−	8.52236i	0.153318	−	0.294049i
$841$	−54.0291	−	26.0190i	−1.86307	−	0.897208i
$842$	11.0718	+	13.8836i	0.381559	+	0.478460i
$843$	15.5766	−	7.50129i	0.536486	−	0.258358i
$844$	−2.08214	+	2.61092i	−0.0716702	+	0.0898716i
$845$	−0.437613	+	1.91731i	−0.0150543	+	0.0659574i
$846$	1.54106	−	1.93243i	0.0529827	−	0.0664382i
$847$	−13.2276	+	25.3693i	−0.454505	+	0.871699i
$848$	16.0428	+	20.1171i	0.550914	+	0.690824i
$849$	−13.2267	+	6.36966i	−0.453941	+	0.218606i
$850$	−0.908480	+	3.98031i	−0.0311606	+	0.136524i
$851$	−17.9845			−0.616501
$852$	10.1966			0.349331
$853$	6.59730	−	28.9047i	0.225887	−	0.989677i	−0.727068	−	0.686565i	$-0.759118\pi$
$853$	6.59730	−	28.9047i	0.225887	−	0.989677i	0.952955	−	0.303111i	$-0.0980253\pi$
$854$	0.246424	−	7.74117i	0.00843246	−	0.264897i
$855$	−4.90671	−	21.4977i	−0.167806	−	0.735206i
$856$	−5.16098	−	22.6117i	−0.176399	−	0.772853i
$857$	−16.9740	−	21.2847i	−0.579820	−	0.727071i	0.402262	−	0.915524i	$-0.368224\pi$
$857$	−16.9740	−	21.2847i	−0.579820	−	0.727071i	−0.982082	+	0.188453i	$0.939653\pi$
$858$	0.134707	+	0.168917i	0.00459883	+	0.00576675i
$859$	−8.70792	−	38.1519i	−0.297110	−	1.30173i	−0.874408	−	0.485192i	$-0.838750\pi$
$859$	−8.70792	−	38.1519i	−0.297110	−	1.30173i	0.577297	−	0.816534i	$-0.304107\pi$
$860$	8.45923	+	37.0623i	0.288457	+	1.26381i
$861$	−0.531140	+	16.6852i	−0.0181012	+	0.568631i
$862$	−1.53691	+	6.73366i	−0.0523475	+	0.229349i
$863$	29.0447			0.988692			0.494346	−	0.869265i	$-0.335408\pi$
$863$	29.0447			0.988692			0.494346	+	0.869265i	$0.335408\pi$
$864$	24.9895			0.850160
$865$	−5.62656	+	24.6516i	−0.191309	+	0.838178i
$866$	16.8069	−	8.09378i	0.571122	−	0.275038i
$867$	13.8923	+	17.4204i	0.471807	+	0.591628i
$868$	4.99526	−	9.58047i	0.169550	−	0.325182i
$869$	−3.70033	+	4.64006i	−0.125525	+	0.157403i
$870$	−2.06677	+	9.05513i	−0.0700702	+	0.306998i
$871$	−4.33644	+	5.43772i	−0.146935	+	0.184250i
$872$	34.8633	−	16.7893i	1.18062	−	0.568557i
$873$	−6.05411	−	7.59161i	−0.204900	−	0.256937i
$874$	−13.1030	−	6.31008i	−0.443216	−	0.213442i
$875$	−14.7521	+	28.2931i	−0.498711	+	0.956483i
$876$	8.11766	−	3.90926i	0.274270	−	0.132082i
$877$	−20.5268	−	9.88517i	−0.693140	−	0.333798i	0.0539296	−	0.998545i	$-0.482825\pi$
$877$	−20.5268	−	9.88517i	−0.693140	−	0.333798i	−0.747069	+	0.664746i	$0.768540\pi$
$878$	−1.40920	−	6.17411i	−0.0475582	−	0.208366i
$879$	4.65953	+	2.24391i	0.157162	+	0.0756852i
$880$	−1.18061	+	1.48044i	−0.0397984	+	0.0499057i
$881$	−54.0864			−1.82222			−0.911109	−	0.412166i	$-0.864772\pi$
$881$	−54.0864			−1.82222			−0.911109	+	0.412166i	$0.864772\pi$
$882$	1.37031	+	8.45063i	0.0461406	+	0.284547i
$883$	−28.3724			−0.954807			−0.477404	−	0.878684i	$-0.658422\pi$
$883$	−28.3724			−0.954807			−0.477404	+	0.878684i	$0.658422\pi$
$884$	−6.80987	+	8.53931i	−0.229041	+	0.287208i
$885$	−15.2009	−	7.32038i	−0.510974	−	0.246072i
$886$	−0.678336	−	2.97198i	−0.0227891	−	0.0998457i
$887$	−29.4034	−	14.1599i	−0.987269	−	0.475444i	−0.130669	−	0.991426i	$-0.541713\pi$
$887$	−29.4034	−	14.1599i	−0.987269	−	0.475444i	−0.856599	+	0.515982i	$0.827427\pi$
$888$	5.86552	−	2.82469i	0.196834	−	0.0947902i
$889$	20.0280	−	14.9546i	0.671719	−	0.501563i
$890$	−5.81070	−	2.79829i	−0.194775	−	0.0937988i
$891$	−0.643528	−	0.806959i	−0.0215590	−	0.0270341i
$892$	44.8793	−	21.6127i	1.50267	−	0.723648i
$893$	−6.44101	+	8.07677i	−0.215540	+	0.270279i
$894$	1.30638	−	5.72363i	0.0436919	−	0.191427i
$895$	9.69829	−	12.1613i	0.324178	−	0.406506i
$896$	23.2502	+	19.7838i	0.776734	+	0.660929i
$897$	2.85721	+	3.58283i	0.0953994	+	0.119627i
$898$	4.91194	−	2.36546i	0.163913	−	0.0789365i
$899$	−5.07435	+	22.2322i	−0.169239	+	0.741485i
$900$	−4.19580			−0.139860
$901$	74.5613			2.48400
$902$	−0.376129	+	1.64793i	−0.0125237	+	0.0548700i
$903$	20.7086	+	17.6211i	0.689140	+	0.586395i
$904$	6.31555	+	27.6702i	0.210052	+	0.920299i
$905$	1.93580	+	8.48129i	0.0643481	+	0.281927i
$906$	2.81222	+	3.52641i	0.0934297	+	0.117157i
$907$	−9.71570	−	12.1831i	−0.322605	−	0.404533i	0.593912	−	0.804530i	$-0.297583\pi$
$907$	−9.71570	−	12.1831i	−0.322605	−	0.404533i	−0.916517	+	0.399997i	$0.869011\pi$
$908$	4.04475	+	17.7212i	0.134230	+	0.588099i
$909$	−5.58044	−	24.4495i	−0.185091	−	0.810939i
$910$	2.32453	−	1.73570i	0.0770576	−	0.0575377i
$911$	−2.04007	+	8.93812i	−0.0675905	+	0.296133i	−0.997414	−	0.0718731i	$-0.977102\pi$
$911$	−2.04007	+	8.93812i	−0.0675905	+	0.296133i	0.929823	+	0.368006i	$0.119959\pi$
$912$	−10.2434			−0.339194
$913$	4.23079			0.140019
$914$	1.15544	−	5.06231i	0.0382186	−	0.167446i
$915$	−8.35446	+	4.02330i	−0.276190	+	0.133006i
$916$	−29.3428	−	36.7947i	−0.969513	−	1.21573i
$917$	−16.1431	−	4.22918i	−0.533093	−	0.139660i
$918$	10.4839	−	13.1464i	0.346020	−	0.433896i
$919$	−9.18605	+	40.2467i	−0.303020	+	1.32762i	0.562523	+	0.826782i	$0.309831\pi$
$919$	−9.18605	+	40.2467i	−0.303020	+	1.32762i	−0.865543	+	0.500835i	$0.833026\pi$
$920$	12.8698	−	16.1383i	0.424306	−	0.532063i
$921$	−12.3088	+	5.92762i	−0.405589	+	0.195322i
$922$	0.794930	+	0.996811i	0.0261796	+	0.0328282i
$923$	6.05624	+	2.91653i	0.199344	+	0.0959988i
$924$	−0.0550990	+	1.73088i	−0.00181263	+	0.0569418i
$925$	−3.59589	+	1.73169i	−0.118232	+	0.0569376i
$926$	−10.5470	−	5.07918i	−0.346597	−	0.166912i
$927$	−4.23765	−	18.5664i	−0.139183	−	0.609799i
$928$	−45.5327	−	21.9274i	−1.49468	−	0.719802i
$929$	−7.51074	+	9.41817i	−0.246419	+	0.309000i	−0.889623	−	0.456695i	$-0.849033\pi$
$929$	−7.51074	+	9.41817i	−0.246419	+	0.309000i	0.643204	+	0.765695i	$0.277605\pi$
$930$	2.38067			0.0780653
$931$	−5.72732	−	35.3202i	−0.187705	−	1.15757i
$932$	−48.1863			−1.57840
$933$	−4.29366	+	5.38407i	−0.140568	+	0.176267i
$934$	3.14135	+	1.51279i	0.102788	+	0.0495002i
$935$	1.22098	+	5.34948i	0.0399304	+	0.174947i
$936$	4.06500	+	1.95760i	0.132869	+	0.0639862i
$937$	19.0911	−	9.19381i	0.623680	−	0.300349i	−0.0952259	−	0.995456i	$-0.530357\pi$
$937$	19.0911	−	9.19381i	0.623680	−	0.300349i	0.718906	+	0.695107i	$0.244643\pi$
$938$	10.0702	−	1.96362i	0.328803	−	0.0641145i
$939$	−20.3947	−	9.82159i	−0.665557	−	0.320516i
$940$	−4.18577	−	5.24879i	−0.136525	−	0.171197i
$941$	6.24107	−	3.00554i	0.203453	−	0.0979778i	−0.329383	−	0.944196i	$-0.606841\pi$
$941$	6.24107	−	3.00554i	0.203453	−	0.0979778i	0.532836	+	0.846219i	$0.321126\pi$
$942$	−0.172794	+	0.216677i	−0.00562993	+	0.00705971i
$943$	−7.97788	+	34.9534i	−0.259796	+	1.13824i
$944$	13.2909	−	16.6663i	0.432583	−	0.542442i
$945$	19.4451	−	14.5193i	0.632548	−	0.472314i
$946$	1.71660	+	2.15254i	0.0558113	+	0.0699852i
$947$	16.1227	−	7.76430i	0.523918	−	0.252306i	−0.153180	−	0.988198i	$-0.548951\pi$
$947$	16.1227	−	7.76430i	0.523918	−	0.252306i	0.677098	+	0.735892i	$0.263237\pi$
$948$	4.64270	−	20.3410i	0.150788	−	0.660645i
$949$	5.93960			0.192808
$950$	−3.22745			−0.104712
$951$	−5.46524	+	23.9448i	−0.177222	+	0.776462i
$952$	34.5384	−	6.73478i	1.11940	−	0.218276i
$953$	−4.60637	−	20.1818i	−0.149215	−	0.653753i	−0.993104	−	0.117236i	$-0.962597\pi$
$953$	−4.60637	−	20.1818i	−0.149215	−	0.653753i	0.843889	−	0.536517i	$-0.180260\pi$
$954$	−3.13809	−	13.7489i	−0.101599	−	0.445136i
$955$	−12.9768	−	16.2724i	−0.419919	−	0.526561i
$956$	−3.07620	−	3.85743i	−0.0994915	−	0.124758i
$957$	−0.813320	−	3.56339i	−0.0262909	−	0.115188i
$958$	−1.70428	−	7.46695i	−0.0550628	−	0.241246i
$959$	−23.7025	−	6.20957i	−0.765393	−	0.200517i
$960$	0.579881	−	2.54062i	0.0187156	−	0.0819983i
$961$	−25.1550			−0.811451
$962$	1.96505			0.0633556
$963$	5.50377	−	24.1136i	0.177356	−	0.777049i
$964$	−2.07090	+	0.997291i	−0.0666991	+	0.0321206i
$965$	14.3897	+	18.0442i	0.463222	+	0.580862i
$966$	0.215083	−	6.75661i	0.00692018	−	0.217390i
$967$	−0.725936	+	0.910295i	−0.0233445	+	0.0292731i	−0.793367	−	0.608744i	$-0.791674\pi$
$967$	−0.725936	+	0.910295i	−0.0233445	+	0.0292731i	0.770022	+	0.638017i	$0.220245\pi$
$968$	4.94950	−	21.6852i	0.159083	−	0.696988i
$969$	−18.5070	+	23.2070i	−0.594530	+	0.745517i
$970$	4.37318	−	2.10601i	0.140414	−	0.0676200i
$971$	6.71549	+	8.42096i	0.215510	+	0.270241i	0.877822	−	0.478987i	$-0.158996\pi$
$971$	6.71549	+	8.42096i	0.215510	+	0.270241i	−0.662312	+	0.749228i	$0.730425\pi$
$972$	24.5631	+	11.8290i	0.787861	+	0.379414i
$973$	1.73254	+	3.91136i	0.0555427	+	0.125392i
$974$	−10.1056	+	4.86660i	−0.323805	+	0.155936i
$975$	0.916265	+	0.441250i	0.0293439	+	0.0141313i
$976$	−2.60703	−	11.4221i	−0.0834489	−	0.365613i
$977$	35.6857	+	17.1853i	1.14169	+	0.549807i	0.906526	−	0.422150i	$-0.138724\pi$
$977$	35.6857	+	17.1853i	1.14169	+	0.549807i	0.235160	+	0.971957i	$0.424439\pi$
$978$	1.85334	−	2.32401i	0.0592632	−	0.0743137i
$979$	2.53797			0.0811140
$980$	23.2060	+	1.47893i	0.741289	+	0.0472427i
$981$	41.2655			1.31750
$982$	−8.25841	+	10.3557i	−0.263536	+	0.330464i
$983$	−18.5837	−	8.94942i	−0.592727	−	0.285442i	0.113375	−	0.993552i	$-0.463834\pi$
$983$	−18.5837	−	8.94942i	−0.592727	−	0.285442i	−0.706102	+	0.708110i	$0.749548\pi$
$984$	−2.88792	−	12.6528i	−0.0920636	−	0.403357i
$985$	18.5221	+	8.91976i	0.590163	+	0.284207i
$986$	−30.6379	+	14.7544i	−0.975709	+	0.469877i
$987$	−4.64512	−	1.21693i	−0.147856	−	0.0387353i
$988$	−7.77920	−	3.74626i	−0.247489	−	0.119185i
$989$	36.4099	+	45.6566i	1.15777	+	1.45179i
$990$	0.935040	−	0.450292i	0.0297175	−	0.0143112i
$991$	−8.95670	+	11.2313i	−0.284519	+	0.356776i	−0.903468	−	0.428656i	$-0.858987\pi$
$991$	−8.95670	+	11.2313i	−0.284519	+	0.356776i	0.618949	+	0.785431i	$0.287559\pi$
$992$	−2.88245	+	12.6288i	−0.0915178	+	0.400966i
$993$	−17.7970	+	22.3168i	−0.564771	+	0.708201i
$994$	−4.01590	−	9.06623i	−0.127377	−	0.287563i
$995$	−21.6033	−	27.0897i	−0.684870	−	0.858800i
$996$	−13.4005	+	6.45332i	−0.424610	+	0.204481i
$997$	0.0334269	−	0.146453i	0.00105864	−	0.00463821i	−0.974396	−	0.224839i	$-0.927814\pi$
$997$	0.0334269	−	0.146453i	0.00105864	−	0.00463821i	0.975454	+	0.220201i	$0.0706714\pi$
$998$	−1.96237			−0.0621176
$999$	16.4379			0.520072

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.92.12	✓	174
49.8	even	7	inner	637.2.w.b.547.12	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.12	✓	174	1.1	even	1	trivial
637.2.w.b.547.12	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)

\(f(q)\)	\(=\)	\(q+(-0.347630 + 0.435914i) q^{2} +(-0.809113 - 0.389648i) q^{3} +(0.375867 + 1.64678i) q^{4} +(-1.77186 - 0.853282i) q^{5} +(0.451125 - 0.217250i) q^{6} +(2.01500 + 1.71458i) q^{7} +(-1.85320 - 0.892452i) q^{8} +(-1.36763 - 1.71495i) q^{9} +O(q^{10})\)	\(q+(-0.347630 + 0.435914i) q^{2} +(-0.809113 - 0.389648i) q^{3} +(0.375867 + 1.64678i) q^{4} +(-1.77186 - 0.853282i) q^{5} +(0.451125 - 0.217250i) q^{6} +(2.01500 + 1.71458i) q^{7} +(-1.85320 - 0.892452i) q^{8} +(-1.36763 - 1.71495i) q^{9} +(0.987907 - 0.475751i) q^{10} +(-0.269032 + 0.337355i) q^{11} +(0.337547 - 1.47889i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-1.44788 + 0.282328i) q^{14} +(1.10115 + 1.38080i) q^{15} +(-2.01045 + 0.968184i) q^{16} +(-1.43885 + 6.30403i) q^{17} +1.22300 q^{18} -5.11165 q^{19} +(0.739186 - 3.23859i) q^{20} +(-0.962280 - 2.17243i) q^{21} +(-0.0535344 - 0.234549i) q^{22} +(-1.13549 - 4.97491i) q^{23} +(1.15170 + 1.44419i) q^{24} +(-0.706059 - 0.885370i) q^{25} +(0.124068 + 0.543575i) q^{26} +(1.03784 + 4.54708i) q^{27} +(-2.06616 + 3.96272i) q^{28} +(2.09888 - 9.19578i) q^{29} -0.984705 q^{30} -2.41765 q^{31} +(1.19225 - 5.22360i) q^{32} +(0.349127 - 0.168131i) q^{33} +(-2.24782 - 2.81868i) q^{34} +(-2.10727 - 4.75735i) q^{35} +(2.31011 - 2.89679i) q^{36} +(0.784253 - 3.43604i) q^{37} +(1.77696 - 2.22824i) q^{38} +(-0.809113 + 0.389648i) q^{39} +(2.52209 + 3.16260i) q^{40} +(-6.33014 - 3.04844i) q^{41} +(1.28151 + 0.335729i) q^{42} +(-10.3107 + 4.96536i) q^{43} +(-0.656671 - 0.316236i) q^{44} +(0.959908 + 4.20563i) q^{45} +(2.56336 + 1.23445i) q^{46} +(1.26006 - 1.58007i) q^{47} +2.00394 q^{48} +(1.12044 + 6.90975i) q^{49} +0.631392 q^{50} +(3.62055 - 4.54003i) q^{51} +(1.52186 + 0.732887i) q^{52} +(-2.56589 - 11.2419i) q^{53} +(-2.34292 - 1.12829i) q^{54} +(0.764545 - 0.368186i) q^{55} +(-2.20401 - 4.97574i) q^{56} +(4.13591 + 1.99175i) q^{57} +(3.27894 + 4.11166i) q^{58} +(-8.60700 + 4.14491i) q^{59} +(-1.86000 + 2.33236i) q^{60} +(-1.16832 + 5.11873i) q^{61} +(0.840446 - 1.05389i) q^{62} +(0.184648 - 5.80054i) q^{63} +(-0.919980 - 1.15362i) q^{64} +(-1.77186 + 0.853282i) q^{65} +(-0.0480764 + 0.210637i) q^{66} -6.95511 q^{67} -10.9222 q^{68} +(-1.01973 + 4.46771i) q^{69} +(2.80634 + 0.735206i) q^{70} +(1.49577 + 6.55339i) q^{71} +(1.00397 + 4.39869i) q^{72} +(3.70328 + 4.64377i) q^{73} +(1.22519 + 1.53634i) q^{74} +(0.226299 + 0.991479i) q^{75} +(-1.92130 - 8.41778i) q^{76} +(-1.12052 + 0.218495i) q^{77} +(0.111419 - 0.488157i) q^{78} +13.7542 q^{79} +4.38837 q^{80} +(-0.532273 + 2.33204i) q^{81} +(3.52940 - 1.69967i) q^{82} +(-6.11330 - 7.66584i) q^{83} +(3.21583 - 2.40121i) q^{84} +(7.92855 - 9.94209i) q^{85} +(1.41983 - 6.22066i) q^{86} +(-5.28135 + 6.62261i) q^{87} +(0.799642 - 0.385088i) q^{88} +(-3.66726 - 4.59860i) q^{89} +(-2.16698 - 1.04356i) q^{90} +(2.59684 - 0.506368i) q^{91} +(7.76581 - 3.73982i) q^{92} +(1.95615 + 0.942033i) q^{93} +(0.250739 + 1.09856i) q^{94} +(9.05712 + 4.36168i) q^{95} +(-3.00003 + 3.76192i) q^{96} +4.42671 q^{97} +(-3.40155 - 1.91361i) q^{98} +0.946486 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

Introduction

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