LMFDB - Embedded newform 429.2.bj.a.112.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, 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:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			112.2
Character	$\chi$	$=$	429.112
Dual form			429.2.bj.a.226.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.01823 - 1.99839i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-1.78119 + 2.45160i) q^{4} +(-0.716768 + 1.40674i) q^{5} +(1.99839 + 1.01823i) q^{6} +(0.347529 + 2.19421i) q^{7} +(2.28246 + 0.361506i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})$	\(q+(-1.01823 - 1.99839i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-1.78119 + 2.45160i) q^{4} +(-0.716768 + 1.40674i) q^{5} +(1.99839 + 1.01823i) q^{6} +(0.347529 + 2.19421i) q^{7} +(2.28246 + 0.361506i) q^{8} +(0.309017 - 0.951057i) q^{9} +3.54104 q^{10} +(1.17020 - 3.10332i) q^{11} -3.03035i q^{12} +(-2.60839 - 2.48924i) q^{13} +(4.03102 - 2.92871i) q^{14} +(-0.246982 - 1.55938i) q^{15} +(0.271220 + 0.834730i) q^{16} +(-0.976374 - 3.00497i) q^{17} +(-2.21523 + 0.350858i) q^{18} +(0.628510 - 3.96825i) q^{19} +(-2.17206 - 4.26290i) q^{20} +(-1.57088 - 1.57088i) q^{21} +(-7.39318 + 0.821375i) q^{22} -8.88746i q^{23} +(-2.05904 + 1.04913i) q^{24} +(1.47377 + 2.02848i) q^{25} +(-2.31852 + 7.74719i) q^{26} +(0.309017 + 0.951057i) q^{27} +(-5.99836 - 3.05631i) q^{28} +(0.217243 - 0.299009i) q^{29} +(-2.86476 + 2.08137i) q^{30} +(-0.353815 + 0.180278i) q^{31} +(4.66007 - 4.66007i) q^{32} +(0.877373 + 3.19847i) q^{33} +(-5.01092 + 5.01092i) q^{34} +(-3.33578 - 1.08386i) q^{35} +(1.78119 + 2.45160i) q^{36} +(-3.12867 + 0.495533i) q^{37} +(-8.57008 + 2.78459i) q^{38} +(3.57337 + 0.480663i) q^{39} +(-2.14454 + 2.95170i) q^{40} +(1.62580 - 10.2649i) q^{41} +(-1.53971 + 4.73875i) q^{42} +1.56304 q^{43} +(5.52376 + 8.39650i) q^{44} +(1.11639 + 1.11639i) q^{45} +(-17.7606 + 9.04948i) q^{46} +(-1.78958 + 11.2990i) q^{47} +(-0.710064 - 0.515891i) q^{48} +(1.96360 - 0.638013i) q^{49} +(2.55304 - 5.01063i) q^{50} +(2.55618 + 1.85717i) q^{51} +(10.7487 - 1.96092i) q^{52} +(2.22952 - 6.86175i) q^{53} +(1.58593 - 1.58593i) q^{54} +(3.52680 + 3.87054i) q^{55} +5.13383i q^{56} +(1.82401 + 3.57981i) q^{57} +(-0.818739 - 0.129675i) q^{58} +(-2.90592 + 0.460253i) q^{59} +(4.26290 + 2.17206i) q^{60} +(2.21530 - 0.719795i) q^{61} +(0.720530 + 0.523496i) q^{62} +(2.19421 + 0.347529i) q^{63} +(-12.3882 - 4.02517i) q^{64} +(5.37132 - 1.88511i) q^{65} +(5.49842 - 5.01011i) q^{66} +(-7.97171 - 7.97171i) q^{67} +(9.10611 + 2.95875i) q^{68} +(5.22392 + 7.19011i) q^{69} +(1.23062 + 7.76980i) q^{70} +(-4.30522 + 8.44947i) q^{71} +(1.04913 - 2.05904i) q^{72} +(-0.745610 - 4.70759i) q^{73} +(4.17597 + 5.74773i) q^{74} +(-2.38462 - 0.774809i) q^{75} +(8.60908 + 8.60908i) q^{76} +(7.21603 + 1.48918i) q^{77} +(-2.67796 - 7.63040i) q^{78} +(1.62723 + 0.528719i) q^{79} +(-1.36865 - 0.216772i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(-22.1687 + 7.20306i) q^{82} +(-13.2953 - 6.77429i) q^{83} +(6.64923 - 1.05313i) q^{84} +(4.92704 + 0.780366i) q^{85} +(-1.59153 - 3.12355i) q^{86} +0.369595i q^{87} +(3.79281 - 6.66017i) q^{88} +(3.41318 - 3.41318i) q^{89} +(1.09424 - 3.36773i) q^{90} +(4.55543 - 6.58844i) q^{91} +(21.7885 + 15.8303i) q^{92} +(0.180278 - 0.353815i) q^{93} +(24.4020 - 7.92868i) q^{94} +(5.13179 + 3.72847i) q^{95} +(-1.03096 + 6.50920i) q^{96} +(-7.27040 + 3.70445i) q^{97} +(-3.27440 - 3.27440i) q^{98} +(-2.58982 - 2.07191i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	$ 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) $ 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{10}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.01823	−	1.99839i	−0.719997	−	1.41307i	−0.902860	−	0.429935i	$-0.858536\pi$
$2$	−1.01823	−	1.99839i	−0.719997	−	1.41307i	0.182862	−	0.983139i	$-0.441464\pi$
$3$	−0.809017	+	0.587785i	−0.467086	+	0.339358i
$3$	−0.809017	+	0.587785i	−0.467086	+	0.339358i
$4$	−1.78119	+	2.45160i	−0.890597	+	1.22580i
$5$	−0.716768	+	1.40674i	−0.320549	+	0.629112i	−0.993909	−	0.110202i	$-0.964850\pi$
$5$	−0.716768	+	1.40674i	−0.320549	+	0.629112i	0.673361	+	0.739314i	$0.264850\pi$
$6$	1.99839	+	1.01823i	0.815839	+	0.415691i
$7$	0.347529	+	2.19421i	0.131354	+	0.829334i	0.962103	+	0.272687i	$0.0879124\pi$
$7$	0.347529	+	2.19421i	0.131354	+	0.829334i	−0.830749	+	0.556647i	$0.812088\pi$
$8$	2.28246	+	0.361506i	0.806971	+	0.127812i
$9$	0.309017	−	0.951057i	0.103006	−	0.317019i
$10$	3.54104			1.11978
$11$	1.17020	−	3.10332i	0.352830	−	0.935687i
$11$	1.17020	−	3.10332i	0.352830	−	0.935687i
$12$		−	3.03035i		−	0.874786i
$13$	−2.60839	−	2.48924i	−0.723437	−	0.690390i
$13$	−2.60839	−	2.48924i	−0.723437	−	0.690390i
$14$	4.03102	−	2.92871i	1.07734	−	0.782731i
$15$	−0.246982	−	1.55938i	−0.0637704	−	0.402630i
$16$	0.271220	+	0.834730i	0.0678050	+	0.208682i
$17$	−0.976374	−	3.00497i	−0.236805	−	0.728812i	−0.996877	−	0.0789727i	$-0.974836\pi$
$17$	−0.976374	−	3.00497i	−0.236805	−	0.728812i	0.760071	−	0.649840i	$-0.225164\pi$
$18$	−2.21523	+	0.350858i	−0.522135	+	0.0826980i
$19$	0.628510	−	3.96825i	0.144190	−	0.910380i	−0.804450	−	0.594021i	$-0.797540\pi$
$19$	0.628510	−	3.96825i	0.144190	−	0.910380i	0.948640	−	0.316359i	$-0.102460\pi$
$20$	−2.17206	−	4.26290i	−0.485687	−	0.953214i
$21$	−1.57088	−	1.57088i	−0.342795	−	0.342795i
$22$	−7.39318	+	0.821375i	−1.57623	+	0.175118i
$23$		−	8.88746i		−	1.85316i	−0.376093	−	0.926582i	$-0.622733\pi$
$23$		−	8.88746i		−	1.85316i	0.376093	−	0.926582i	$-0.377267\pi$
$24$	−2.05904	+	1.04913i	−0.420299	+	0.214153i
$25$	1.47377	+	2.02848i	0.294755	+	0.405695i
$26$	−2.31852	+	7.74719i	−0.454700	+	1.51935i
$27$	0.309017	+	0.951057i	0.0594703	+	0.183031i
$28$	−5.99836	−	3.05631i	−1.13358	−	0.577589i
$29$	0.217243	−	0.299009i	0.0403409	−	0.0555245i	−0.788370	−	0.615201i	$-0.789075\pi$
$29$	0.217243	−	0.299009i	0.0403409	−	0.0555245i	0.828711	+	0.559677i	$0.189075\pi$
$30$	−2.86476	+	2.08137i	−0.523032	+	0.380005i
$31$	−0.353815	+	0.180278i	−0.0635470	+	0.0323788i	−0.485475	−	0.874250i	$-0.661353\pi$
$31$	−0.353815	+	0.180278i	−0.0635470	+	0.0323788i	0.421928	+	0.906629i	$0.361353\pi$
$32$	4.66007	−	4.66007i	0.823792	−	0.823792i
$33$	0.877373	+	3.19847i	0.152731	+	0.556782i
$34$	−5.01092	+	5.01092i	−0.859366	+	0.859366i
$35$	−3.33578	−	1.08386i	−0.563850	−	0.183206i
$36$	1.78119	+	2.45160i	0.296866	+	0.408601i
$37$	−3.12867	+	0.495533i	−0.514350	+	0.0814651i	−0.408214	−	0.912886i	$-0.633848\pi$
$37$	−3.12867	+	0.495533i	−0.514350	+	0.0814651i	−0.106137	+	0.994352i	$0.533848\pi$
$38$	−8.57008	+	2.78459i	−1.39025	+	0.451720i
$39$	3.57337	+	0.480663i	0.572197	+	0.0769677i
$40$	−2.14454	+	2.95170i	−0.339081	+	0.466705i
$41$	1.62580	−	10.2649i	0.253908	−	1.60311i	−0.450139	−	0.892958i	$-0.648626\pi$
$41$	1.62580	−	10.2649i	0.253908	−	1.60311i	0.704047	−	0.710153i	$-0.251374\pi$
$42$	−1.53971	+	4.73875i	−0.237583	+	0.731206i
$43$	1.56304			0.238361			0.119180	−	0.992873i	$-0.461973\pi$
$43$	1.56304			0.238361			0.119180	+	0.992873i	$0.461973\pi$
$44$	5.52376	+	8.39650i	0.832738	+	1.26582i
$45$	1.11639	+	1.11639i	0.166422	+	0.166422i
$46$	−17.7606	+	9.04948i	−2.61866	+	1.33427i
$47$	−1.78958	+	11.2990i	−0.261038	+	1.64813i	0.413951	+	0.910299i	$0.364148\pi$
$47$	−1.78958	+	11.2990i	−0.261038	+	1.64813i	−0.674989	+	0.737828i	$0.735852\pi$
$48$	−0.710064	−	0.515891i	−0.102489	−	0.0744625i
$49$	1.96360	−	0.638013i	0.280515	−	0.0911447i
$50$	2.55304	−	5.01063i	0.361055	−	0.708609i
$51$	2.55618	+	1.85717i	0.357937	+	0.260056i
$52$	10.7487	−	1.96092i	1.49057	−	0.271931i
$53$	2.22952	−	6.86175i	0.306248	−	0.942534i	−0.672961	−	0.739678i	$-0.734978\pi$
$53$	2.22952	−	6.86175i	0.306248	−	0.942534i	0.979209	−	0.202856i	$-0.0650222\pi$
$54$	1.58593	−	1.58593i	0.215818	−	0.215818i
$55$	3.52680	+	3.87054i	0.475553	+	0.521903i
$56$			5.13383i			0.686037i
$57$	1.82401	+	3.57981i	0.241595	+	0.474158i
$58$	−0.818739	−	0.129675i	−0.107506	−	0.0170272i
$59$	−2.90592	+	0.460253i	−0.378319	+	0.0599199i	−0.342698	−	0.939446i	$-0.611341\pi$
$59$	−2.90592	+	0.460253i	−0.378319	+	0.0599199i	−0.0356208	+	0.999365i	$0.511341\pi$
$60$	4.26290	+	2.17206i	0.550339	+	0.280411i
$61$	2.21530	−	0.719795i	0.283640	−	0.0921603i	−0.163742	−	0.986503i	$-0.552356\pi$
$61$	2.21530	−	0.719795i	0.283640	−	0.0921603i	0.447382	+	0.894343i	$0.352356\pi$
$62$	0.720530	+	0.523496i	0.0915074	+	0.0664840i
$63$	2.19421	+	0.347529i	0.276445	+	0.0437846i
$64$	−12.3882	−	4.02517i	−1.54852	−	0.503146i
$65$	5.37132	−	1.88511i	0.666230	−	0.233819i
$66$	5.49842	−	5.01011i	0.676809	−	0.616702i
$67$	−7.97171	−	7.97171i	−0.973900	−	0.973900i	0.0257680	−	0.999668i	$-0.491797\pi$
$67$	−7.97171	−	7.97171i	−0.973900	−	0.973900i	−0.999668	+	0.0257680i	$0.991797\pi$
$68$	9.10611	+	2.95875i	1.10428	+	0.358802i
$69$	5.22392	+	7.19011i	0.628886	+	0.865587i
$70$	1.23062	+	7.76980i	0.147087	+	0.928669i
$71$	−4.30522	+	8.44947i	−0.510936	+	1.00277i	0.481083	+	0.876675i	$0.340244\pi$
$71$	−4.30522	+	8.44947i	−0.510936	+	1.00277i	−0.992019	+	0.126092i	$0.959756\pi$
$72$	1.04913	−	2.05904i	0.123641	−	0.242660i
$73$	−0.745610	−	4.70759i	−0.0872670	−	0.550982i	−0.992123	−	0.125265i	$-0.960022\pi$
$73$	−0.745610	−	4.70759i	−0.0872670	−	0.550982i	0.904856	−	0.425717i	$-0.139978\pi$
$74$	4.17597	+	5.74773i	0.485447	+	0.668161i
$75$	−2.38462	−	0.774809i	−0.275352	−	0.0894672i
$76$	8.60908	+	8.60908i	0.987530	+	0.987530i
$77$	7.21603	+	1.48918i	0.822343	+	0.169708i
$78$	−2.67796	−	7.63040i	−0.303219	−	0.863973i
$79$	1.62723	+	0.528719i	0.183078	+	0.0594856i	0.399121	−	0.916898i	$-0.369315\pi$
$79$	1.62723	+	0.528719i	0.183078	+	0.0594856i	−0.216043	+	0.976384i	$0.569315\pi$
$80$	−1.36865	−	0.216772i	−0.153019	−	0.0242359i
$81$	−0.809017	−	0.587785i	−0.0898908	−	0.0653095i
$82$	−22.1687	+	7.20306i	−2.44813	+	0.795445i
$83$	−13.2953	−	6.77429i	−1.45935	−	0.743575i	−0.469134	−	0.883127i	$-0.655434\pi$
$83$	−13.2953	−	6.77429i	−1.45935	−	0.743575i	−0.990215	+	0.139552i	$0.955434\pi$
$84$	6.64923	−	1.05313i	0.725490	−	0.114906i
$85$	4.92704	+	0.780366i	0.534412	+	0.0846426i
$86$	−1.59153	−	3.12355i	−0.171619	−	0.336821i
$87$			0.369595i			0.0396248i
$88$	3.79281	−	6.66017i	0.404315	−	0.709977i
$89$	3.41318	−	3.41318i	0.361796	−	0.361796i	−0.502678	−	0.864474i	$-0.667652\pi$
$89$	3.41318	−	3.41318i	0.361796	−	0.361796i	0.864474	+	0.502678i	$0.167652\pi$
$90$	1.09424	−	3.36773i	0.115343	−	0.354990i
$91$	4.55543	−	6.58844i	0.477538	−	0.690657i
$92$	21.7885	+	15.8303i	2.27161	+	1.65042i
$93$	0.180278	−	0.353815i	0.0186939	−	0.0366889i
$94$	24.4020	−	7.92868i	2.51687	−	0.817781i
$95$	5.13179	+	3.72847i	0.526511	+	0.382533i
$96$	−1.03096	+	6.50920i	−0.105221	+	0.664342i
$97$	−7.27040	+	3.70445i	−0.738197	+	0.376130i	−0.782304	−	0.622896i	$-0.785956\pi$
$97$	−7.27040	+	3.70445i	−0.738197	+	0.376130i	0.0441069	+	0.999027i	$0.485956\pi$
$98$	−3.27440	−	3.27440i	−0.330764	−	0.330764i
$99$	−2.58982	−	2.07191i	−0.260287	−	0.208235i
$100$	−7.59809			−0.759809
$101$	2.88776	−	8.88761i	0.287343	−	0.884350i	−0.698344	−	0.715762i	$-0.746079\pi$
$101$	2.88776	−	8.88761i	0.287343	−	0.884350i	0.985687	−	0.168588i	$-0.0539207\pi$
$102$	1.10858	−	6.99927i	0.109765	−	0.693031i
$103$	6.45178	−	8.88012i	0.635713	−	0.874984i	−0.362665	−	0.931920i	$-0.618133\pi$
$103$	6.45178	−	8.88012i	0.635713	−	0.874984i	0.998378	+	0.0569356i	$0.0181330\pi$
$104$	−5.05367	−	6.62453i	−0.495553	−	0.649589i
$105$	3.33578	−	1.08386i	0.325539	−	0.105774i
$106$	−15.9826	+	2.53139i	−1.55237	+	0.245871i
$107$	8.12023	+	11.1765i	0.785013	+	1.08048i	0.994711	+	0.102711i	$0.0327517\pi$
$107$	8.12023	+	11.1765i	0.785013	+	1.08048i	−0.209699	+	0.977766i	$0.567248\pi$
$108$	−2.88203	−	0.936429i	−0.277324	−	0.0901079i
$109$	13.8643	−	13.8643i	1.32796	−	1.32796i	0.420804	−	0.907151i	$-0.361748\pi$
$109$	13.8643	−	13.8643i	1.32796	−	1.32796i	0.907151	−	0.420804i	$-0.138252\pi$
$110$	4.14374	−	10.9890i	0.395090	−	1.04776i
$111$	2.23988	−	2.23988i	0.212600	−	0.212600i
$112$	−1.73732	+	0.885208i	−0.164161	+	0.0836443i
$113$	5.22960	−	3.79953i	0.491959	−	0.357429i	−0.313978	−	0.949430i	$-0.601662\pi$
$113$	5.22960	−	3.79953i	0.491959	−	0.357429i	0.805937	+	0.592001i	$0.201662\pi$
$114$	5.29660	−	7.29014i	0.496072	−	0.682785i
$115$	12.5023	+	6.37025i	1.16585	+	0.594029i
$116$	0.346100	+	1.06519i	0.0321345	+	0.0989000i
$117$	−3.17344	+	1.71151i	−0.293385	+	0.158229i
$118$	3.87866	+	5.33852i	0.357060	+	0.491451i
$119$	6.25423	−	3.18669i	0.573324	−	0.292123i
$120$		−	3.64851i		−	0.333062i
$121$	−8.26124	−	7.26305i	−0.751022	−	0.660277i
$122$	−3.69412	−	3.69412i	−0.334450	−	0.334450i
$123$	4.71827	+	9.26012i	0.425432	+	0.834957i
$124$	0.188244	−	1.18852i	0.0169048	−	0.106733i
$125$	−11.7068	+	1.85417i	−1.04709	+	0.165842i
$126$	−1.53971	−	4.73875i	−0.137169	−	0.422162i
$127$	4.14066	+	12.7436i	0.367424	+	1.13082i	0.948449	+	0.316930i	$0.102652\pi$
$127$	4.14066	+	12.7436i	0.367424	+	1.13082i	−0.581025	+	0.813886i	$0.697348\pi$
$128$	2.50827	+	15.8366i	0.221702	+	1.39977i
$129$	−1.26452	+	0.918729i	−0.111335	+	0.0808896i
$130$	−9.23642	−	8.81450i	−0.810087	−	0.773083i
$131$			21.1445i			1.84740i	0.383117	+	0.923700i	$0.374851\pi$
$131$			21.1445i			1.84740i	−0.383117	+	0.923700i	$0.625149\pi$
$132$	−9.40415	−	3.54613i	−0.818526	−	0.308651i
$133$	8.92562			0.773949
$134$	−7.81354	+	24.0476i	−0.674987	+	2.07740i
$135$	−1.55938	−	0.246982i	−0.134210	−	0.0212568i
$136$	−1.14222	−	7.21169i	−0.0979444	−	0.618397i
$137$	−7.91793	−	4.03439i	−0.676475	−	0.344681i	0.0817700	−	0.996651i	$-0.473943\pi$
$137$	−7.91793	−	4.03439i	−0.676475	−	0.344681i	−0.758245	+	0.651970i	$0.773943\pi$
$138$	9.04948	−	17.7606i	0.770343	−	1.51188i
$139$	7.57981	−	10.4327i	0.642912	−	0.884892i	−0.355855	−	0.934541i	$-0.615810\pi$
$139$	7.57981	−	10.4327i	0.642912	−	0.884892i	0.998767	+	0.0496493i	$0.0158104\pi$
$140$	8.59886	−	6.24744i	0.726737	−	0.528005i
$141$	−5.19357	−	10.1930i	−0.437378	−	0.858402i
$142$	21.2690			1.78486
$143$	−10.7773	+	5.18176i	−0.901240	+	0.433321i
$144$	0.877687			0.0731406
$145$	0.264914	+	0.519923i	0.0219999	+	0.0431773i
$146$	−8.64840	+	6.28343i	−0.715747	+	0.520020i
$147$	−1.21357	+	1.67034i	−0.100094	+	0.137767i
$148$	4.35792	−	8.55290i	0.358219	−	0.703044i
$149$	−8.12538	−	4.14009i	−0.665657	−	0.339169i	0.0882989	−	0.996094i	$-0.471857\pi$
$149$	−8.12538	−	4.14009i	−0.665657	−	0.339169i	−0.753956	+	0.656925i	$0.771857\pi$
$150$	0.879718	+	5.55432i	0.0718287	+	0.453508i
$151$	8.63300	+	1.36733i	0.702544	+	0.111272i	0.497478	−	0.867476i	$-0.334259\pi$
$151$	8.63300	+	1.36733i	0.702544	+	0.111272i	0.205065	+	0.978748i	$0.434259\pi$
$152$	2.86909	−	8.83016i	0.232714	−	0.716221i
$153$	−3.15961			−0.255440
$154$	−4.37162	−	15.9368i	−0.352275	−	1.28422i
$155$		−	0.626942i		−	0.0503572i
$156$	−7.54326	+	7.90433i	−0.603944	+	0.632853i
$157$	−2.95528	+	2.14714i	−0.235857	+	0.171360i	−0.699436	−	0.714696i	$-0.746565\pi$
$157$	−2.95528	+	2.14714i	−0.235857	+	0.171360i	0.463578	+	0.886056i	$0.346565\pi$
$158$	−0.600308	−	3.79020i	−0.0477580	−	0.301532i
$159$	2.22952	+	6.86175i	0.176812	+	0.544172i
$160$	3.21530	+	9.89568i	0.254192	+	0.782323i
$161$	19.5010	−	3.08865i	1.53689	−	0.243420i
$162$	−0.350858	+	2.21523i	−0.0275660	+	0.174045i
$163$	1.46397	+	2.87320i	0.114667	+	0.225046i	0.941206	−	0.337833i	$-0.109694\pi$
$163$	1.46397	+	2.87320i	0.114667	+	0.225046i	−0.826539	+	0.562879i	$0.809694\pi$
$164$	22.2696	+	22.2696i	1.73897	+	1.73897i
$165$	−5.12828	−	1.05833i	−0.399236	−	0.0823908i
$166$			33.4670i			2.59754i
$167$	−14.6084	+	7.44337i	−1.13044	+	0.575986i	−0.916170	−	0.400790i	$-0.868736\pi$
$167$	−14.6084	+	7.44337i	−1.13044	+	0.575986i	−0.214265	+	0.976775i	$0.568736\pi$
$168$	−3.01759	−	4.15336i	−0.232812	−	0.320439i
$169$	0.607390	+	12.9858i	0.0467223	+	0.998908i
$170$	−3.45738	−	10.6407i	−0.265169	−	0.816107i
$171$	−3.57981	−	1.82401i	−0.273755	−	0.139485i
$172$	−2.78407	+	3.83194i	−0.212283	+	0.292183i
$173$	−13.2356	+	9.61625i	−1.00629	+	0.731110i	−0.963427	−	0.267972i	$-0.913647\pi$
$173$	−13.2356	+	9.61625i	−1.00629	+	0.731110i	−0.0428592	+	0.999081i	$0.513647\pi$
$174$	0.738595	−	0.376333i	0.0559927	−	0.0285297i
$175$	−3.93873	+	3.93873i	−0.297740	+	0.297740i
$176$	2.90782	+	0.135120i	0.219185	+	0.0101851i
$177$	2.08041	−	2.08041i	0.156373	−	0.156373i
$178$	−10.2962	−	3.34545i	−0.771736	−	0.250752i
$179$	−7.06379	−	9.72247i	−0.527972	−	0.726692i	0.458847	−	0.888515i	$-0.348262\pi$
$179$	−7.06379	−	9.72247i	−0.527972	−	0.726692i	−0.986820	+	0.161823i	$0.948262\pi$
$180$	−4.72547	+	0.748440i	−0.352215	+	0.0557854i
$181$	−7.24049	+	2.35258i	−0.538181	+	0.174866i	−0.565481	−	0.824762i	$-0.691309\pi$
$181$	−7.24049	+	2.35258i	−0.538181	+	0.174866i	0.0272992	+	0.999627i	$0.491309\pi$
$182$	−17.8047	−	2.39496i	−1.31978	−	0.177526i
$183$	−1.36913	+	1.88445i	−0.101209	+	0.139302i
$184$	3.21287	−	20.2853i	0.236856	−	1.49545i
$185$	1.54545	−	4.75640i	0.113624	−	0.349698i
$186$	−0.890624			−0.0653037
$187$	−10.4680	−	0.486424i	−0.765493	−	0.0355708i
$188$	−24.5130	−	24.5130i	−1.78780	−	1.78780i
$189$	−1.97943	+	1.00857i	−0.143982	+	0.0733626i
$190$	2.22558	−	14.0518i	0.161460	−	1.01942i
$191$	8.32349	+	6.04737i	0.602267	+	0.437572i	0.846683	−	0.532098i	$-0.178596\pi$
$191$	8.32349	+	6.04737i	0.602267	+	0.437572i	−0.244416	+	0.969670i	$0.578596\pi$
$192$	12.3882	−	4.02517i	0.894041	−	0.290491i
$193$	2.26653	−	4.44831i	0.163148	−	0.320196i	−0.794931	−	0.606700i	$-0.792493\pi$
$193$	2.26653	−	4.44831i	0.163148	−	0.320196i	0.958079	+	0.286504i	$0.0924930\pi$
$194$	14.8059	+	10.7571i	1.06300	+	0.772315i
$195$	−3.23744	+	4.68227i	−0.231838	+	0.335304i
$196$	−1.93340	+	5.95040i	−0.138100	+	0.425029i
$197$	−11.8443	+	11.8443i	−0.843868	+	0.843868i	−0.989359	−	0.145492i	$-0.953524\pi$
$197$	−11.8443	+	11.8443i	−0.843868	+	0.843868i	0.145492	+	0.989359i	$0.453524\pi$
$198$	−1.50345	+	7.28515i	−0.106845	+	0.517733i
$199$			16.6307i			1.17892i	0.807799	+	0.589458i	$0.200659\pi$
$199$			16.6307i			1.17892i	−0.807799	+	0.589458i	$0.799341\pi$
$200$	2.63052	+	5.16269i	0.186006	+	0.365057i
$201$	11.1349	+	1.76360i	0.785396	+	0.124394i
$202$	−20.7013	+	3.27876i	−1.45654	+	0.230693i
$203$	0.731587	+	0.372762i	0.0513473	+	0.0261628i
$204$	−9.10611	+	2.95875i	−0.637555	+	0.207154i
$205$	13.2747	+	9.64465i	0.927147	+	0.673612i
$206$	−24.3153	−	3.85117i	−1.69413	−	0.268324i
$207$	−8.45248	−	2.74638i	−0.587488	−	0.190886i
$208$	1.37039	−	2.85243i	0.0950197	−	0.197781i
$209$	−11.5793	−	6.59414i	−0.800956	−	0.456126i
$210$	−5.56256	−	5.56256i	−0.383853	−	0.383853i
$211$	11.6632	+	3.78959i	0.802925	+	0.260886i	0.681599	−	0.731726i	$-0.261285\pi$
$211$	11.6632	+	3.78959i	0.802925	+	0.260886i	0.121327	+	0.992613i	$0.461285\pi$
$212$	12.8511	+	17.6880i	0.882616	+	1.21482i
$213$	−1.48348	−	9.36631i	−0.101646	−	0.641769i
$214$	14.0668	−	27.6077i	0.961587	−	1.88722i
$215$	−1.12033	+	2.19878i	−0.0764062	+	0.149956i
$216$	0.361506	+	2.28246i	0.0245974	+	0.155302i
$217$	−0.518529	−	0.713693i	−0.0352000	−	0.0484487i
$218$	−41.8232	−	13.5892i	−2.83262	−	0.920375i
$219$	3.37026	+	3.37026i	0.227741	+	0.227741i
$220$	−15.7709	+	1.75213i	−1.06328	+	0.118129i
$221$	−4.93332	+	10.2686i	−0.331851	+	0.690738i
$222$	−6.75687	−	2.19544i	−0.453491	−	0.147348i
$223$	−6.77521	−	1.07309i	−0.453702	−	0.0718593i	−0.0745984	−	0.997214i	$-0.523767\pi$
$223$	−6.77521	−	1.07309i	−0.453702	−	0.0718593i	−0.379103	+	0.925354i	$0.623767\pi$
$224$	11.8447	+	8.60567i	0.791407	+	0.574991i
$225$	2.38462	−	0.774809i	0.158974	−	0.0516539i
$226$	−12.9179	−	6.58198i	−0.859283	−	0.437827i
$227$	−0.637067	+	0.100902i	−0.0422837	+	0.00669707i	−0.177540	−	0.984114i	$-0.556814\pi$
$227$	−0.637067	+	0.100902i	−0.0422837	+	0.00669707i	0.135257	+	0.990811i	$0.456814\pi$
$228$	−12.0252	−	1.90460i	−0.796388	−	0.126135i
$229$	2.52481	+	4.95523i	0.166844	+	0.327451i	0.959257	−	0.282535i	$-0.0911753\pi$
$229$	2.52481	+	4.95523i	0.166844	+	0.327451i	−0.792413	+	0.609985i	$0.791175\pi$
$230$		−	31.4709i		−	2.07513i
$231$	−6.71321	+	3.03671i	−0.441697	+	0.199801i
$232$	0.603941	−	0.603941i	0.0396506	−	0.0396506i
$233$	3.12195	−	9.60838i	0.204526	−	0.629466i	−0.795207	−	0.606339i	$-0.792638\pi$
$233$	3.12195	−	9.60838i	0.204526	−	0.629466i	0.999733	−	0.0231275i	$-0.00736237\pi$
$234$	6.65155	+	4.59906i	0.434826	+	0.300650i
$235$	−14.6120	−	10.6162i	−0.953181	−	0.692527i
$236$	4.04766	−	7.94397i	0.263480	−	0.517109i
$237$	−1.62723	+	0.528719i	−0.105700	+	0.0343440i
$238$	−12.7365	−	9.25359i	−0.825583	−	0.599821i
$239$	0.748930	−	4.72856i	0.0484443	−	0.305865i	−0.951554	−	0.307480i	$-0.900514\pi$
$239$	0.748930	−	4.72856i	0.0484443	−	0.305865i	0.999999	+	0.00161523i	$0.000514144\pi$
$240$	1.23467	−	0.629098i	0.0796979	−	0.0406081i
$241$	7.67866	+	7.67866i	0.494626	+	0.494626i	0.909760	−	0.415134i	$-0.136265\pi$
$241$	7.67866	+	7.67866i	0.494626	+	0.494626i	−0.415134	+	0.909760i	$0.636265\pi$
$242$	−6.10254	+	23.9046i	−0.392286	+	1.53665i
$243$	1.00000			0.0641500
$244$	−2.18123	+	6.71313i	−0.139639	+	0.429764i
$245$	−0.509932	+	3.21958i	−0.0325783	+	0.205691i
$246$	13.7010	−	18.8579i	0.873546	−	1.20233i
$247$	−11.5173	+	8.78624i	−0.732830	+	0.559055i
$248$	−0.872739	+	0.283570i	−0.0554190	+	0.0180067i
$249$	14.7380	−	2.33426i	0.933980	−	0.147928i
$250$	15.6256	+	21.5067i	0.988247	+	1.36021i
$251$	−3.34758	−	1.08770i	−0.211298	−	0.0686547i	0.201456	−	0.979498i	$-0.435433\pi$
$251$	−3.34758	−	1.08770i	−0.211298	−	0.0686547i	−0.412753	+	0.910843i	$0.635433\pi$
$252$	−4.76032	+	4.76032i	−0.299872	+	0.299872i
$253$	−27.5807	−	10.4001i	−1.73398	−	0.653851i
$254$	21.2506	−	21.2506i	1.33338	−	1.33338i
$255$	−4.44475	+	2.26471i	−0.278341	+	0.141822i
$256$	8.01758	−	5.82511i	0.501099	−	0.364070i
$257$	7.99769	−	11.0079i	0.498882	−	0.686652i	−0.483113	−	0.875558i	$-0.660494\pi$
$257$	7.99769	−	11.0079i	0.498882	−	0.686652i	0.981995	+	0.188906i	$0.0604941\pi$
$258$	3.12355	+	1.59153i	0.194464	+	0.0990843i
$259$	−2.17461	−	6.69276i	−0.135124	−	0.415868i
$260$	−4.94581	+	16.5261i	−0.306726	+	1.02490i
$261$	−0.217243	−	0.299009i	−0.0134470	−	0.0185082i
$262$	42.2548	−	21.5299i	2.61051	−	1.33012i
$263$			9.00872i			0.555502i	0.960653	+	0.277751i	$0.0895890\pi$
$263$			9.00872i			0.555502i	−0.960653	+	0.277751i	$0.910411\pi$
$264$	0.846302	+	7.61755i	0.0520863	+	0.468828i
$265$	8.05463	+	8.05463i	0.494792	+	0.494792i
$266$	−9.08833	−	17.8368i	−0.557241	−	1.09365i
$267$	−0.755103	+	4.76753i	−0.0462115	+	0.291768i
$268$	33.7426	−	5.34431i	2.06116	−	0.326456i
$269$	2.24112	+	6.89745i	0.136643	+	0.420545i	0.995842	−	0.0910970i	$-0.0290373\pi$
$269$	2.24112	+	6.89745i	0.136643	+	0.420545i	−0.859199	+	0.511642i	$0.829037\pi$
$270$	1.09424	+	3.36773i	0.0665935	+	0.204954i
$271$	0.588013	+	3.71257i	0.0357192	+	0.225522i	0.999090	−	0.0426505i	$-0.0135802\pi$
$271$	0.588013	+	3.71257i	0.0357192	+	0.225522i	−0.963371	+	0.268173i	$0.913580\pi$
$272$	2.24353	−	1.63002i	0.136034	−	0.0988343i
$273$	0.187173	+	8.00778i	0.0113282	+	0.484653i
$274$			19.9310i			1.20408i
$275$	8.01963	−	2.19987i	0.483602	−	0.132657i
$276$	−26.9321			−1.62112
$277$	3.44074	−	10.5895i	0.206734	−	0.636262i	−0.792904	−	0.609347i	$-0.791432\pi$
$277$	3.44074	−	10.5895i	0.206734	−	0.636262i	0.999638	−	0.0269151i	$-0.00856838\pi$
$278$	−28.5666	−	4.52451i	−1.71331	−	0.271362i
$279$	0.0621195	+	0.392207i	0.00371900	+	0.0234808i
$280$	−7.22196	−	3.67977i	−0.431594	−	0.219908i
$281$	5.51662	−	10.8270i	0.329094	−	0.645883i	−0.665876	−	0.746063i	$-0.731942\pi$
$281$	5.51662	−	10.8270i	0.329094	−	0.645883i	0.994969	+	0.100180i	$0.0319419\pi$
$282$	−15.0812	+	20.7576i	−0.898075	+	1.23609i
$283$	8.61409	−	6.25850i	0.512054	−	0.372029i	−0.301548	−	0.953451i	$-0.597503\pi$
$283$	8.61409	−	6.25850i	0.512054	−	0.372029i	0.813602	+	0.581422i	$0.197503\pi$
$284$	−13.0463	−	25.6048i	−0.774156	−	1.51937i
$285$	−6.34325			−0.375741
$286$	21.3289	+	16.2609i	1.26120	+	0.961529i
$287$	23.0884			1.36287
$288$	−2.99195	−	5.87203i	−0.176302	−	0.346013i
$289$	5.67675	−	4.12440i	0.333926	−	0.242612i
$290$	0.769265	−	1.05880i	0.0451728	−	0.0621750i
$291$	3.70445	−	7.27040i	0.217159	−	0.426198i
$292$	12.8692	+	6.55720i	0.753114	+	0.383731i
$293$	−2.57650	−	16.2674i	−0.150521	−	0.950350i	−0.941134	−	0.338034i	$-0.890238\pi$
$293$	−2.57650	−	16.2674i	−0.150521	−	0.950350i	0.790613	−	0.612316i	$-0.209762\pi$
$294$	4.57368	+	0.724401i	0.266743	+	0.0422479i
$295$	1.43542	−	4.41777i	0.0835734	−	0.257212i
$296$	−7.32020			−0.425478
$297$	3.31305	+	0.153950i	0.192243	+	0.00893311i
$298$			20.4532i			1.18482i
$299$	−22.1230	+	23.1820i	−1.27941	+	1.34065i
$300$	6.14699	−	4.46605i	0.354896	−	0.257847i
$301$	0.543200	+	3.42963i	0.0313095	+	0.197681i
$302$	−6.05792	−	18.6444i	−0.348594	−	1.07286i
$303$	2.88776	+	8.88761i	0.165897	+	0.510580i
$304$	3.48288	−	0.551635i	0.199757	−	0.0316384i
$305$	−0.575296	+	3.63227i	−0.0329413	+	0.207983i
$306$	3.21721	+	6.31413i	0.183916	+	0.360955i
$307$	−18.0578	−	18.0578i	−1.03062	−	1.03062i	−0.999516	−	0.0310989i	$-0.990099\pi$
$307$	−18.0578	−	18.0578i	−1.03062	−	1.03062i	−0.0310989	−	0.999516i	$-0.509901\pi$
$308$	−16.5040	+	15.0383i	−0.940405	+	0.856888i
$309$			10.9764i			0.624427i
$310$	−1.25287	+	0.638371i	−0.0711584	+	0.0362570i
$311$	11.1269	+	15.3149i	0.630951	+	0.868429i	0.998093	−	0.0617359i	$-0.0196637\pi$
$311$	11.1269	+	15.3149i	0.630951	+	0.868429i	−0.367142	+	0.930165i	$0.619664\pi$
$312$	7.98230	+	2.38889i	0.451909	+	0.135244i
$313$	0.496696	+	1.52867i	0.0280749	+	0.0864057i	0.964112	−	0.265495i	$-0.0855354\pi$
$313$	0.496696	+	1.52867i	0.0280749	+	0.0864057i	−0.936037	+	0.351901i	$0.885535\pi$
$314$	7.29997	+	3.71952i	0.411961	+	0.209905i
$315$	−2.06162	+	2.83758i	−0.116159	+	0.159880i
$316$	−4.19462	+	3.04757i	−0.235966	+	0.171439i
$317$	23.7290	−	12.0905i	1.33275	−	0.679072i	0.365009	−	0.931004i	$-0.381066\pi$
$317$	23.7290	−	12.0905i	1.33275	−	0.679072i	0.967745	+	0.251932i	$0.0810658\pi$
$318$	11.4423	−	11.4423i	0.641651	−	0.641651i
$319$	−0.673703	−	1.02408i	−0.0377201	−	0.0573372i
$320$	14.5418	−	14.5418i	0.812912	−	0.812912i
$321$	−13.1388	−	4.26906i	−0.733337	−	0.238276i
$322$	−26.0288	−	35.8256i	−1.45053	−	1.99648i
$323$	−12.5381	+	1.98585i	−0.697641	+	0.110495i
$324$	2.88203	−	0.936429i	0.160113	−	0.0520238i
$325$	1.20518	−	8.95963i	0.0668515	−	0.496991i
$326$	4.25111	−	5.85115i	0.235447	−	0.324065i
$327$	−3.06722	+	19.3656i	−0.169617	+	1.07092i
$328$	7.42166	−	22.8415i	0.409793	−	1.26121i
$329$	−25.4143			−1.40114
$330$	3.10682	+	11.3259i	0.171025	+	0.623471i
$331$	−2.26696	−	2.26696i	−0.124604	−	0.124604i	0.642055	−	0.766659i	$-0.278082\pi$
$331$	−2.26696	−	2.26696i	−0.124604	−	0.124604i	−0.766659	+	0.642055i	$0.778082\pi$
$332$	40.2894	−	20.5285i	2.21117	−	1.12665i
$333$	−0.495533	+	3.12867i	−0.0271550	+	0.171450i
$334$	29.7495	+	21.6143i	1.62782	+	1.18268i
$335$	16.9280	−	5.50023i	0.924874	−	0.300510i
$336$	0.885208	−	1.73732i	0.0482920	−	0.0947785i
$337$	−26.0999	−	18.9627i	−1.42175	−	1.03297i	−0.991479	−	0.130267i	$-0.958416\pi$
$337$	−26.0999	−	18.9627i	−1.42175	−	1.03297i	−0.430275	−	0.902698i	$-0.641584\pi$
$338$	25.3322	−	14.4363i	1.37789	−	0.785233i
$339$	−1.99753	+	6.14776i	−0.108491	+	0.333901i
$340$	−10.6892	+	10.6892i	−0.579701	+	0.579701i
$341$	0.145424	+	1.30896i	0.00787518	+	0.0708844i
$342$			9.01111i			0.487265i
$343$	9.14233	+	17.9428i	0.493639	+	0.968822i
$344$	3.56756	+	0.565047i	0.192350	+	0.0304653i
$345$	−13.8589	+	2.19504i	−0.746140	+	0.118177i
$346$	32.6939	+	16.6584i	1.75764	+	0.895560i
$347$	18.6909	−	6.07306i	1.00338	−	0.326019i	0.239166	−	0.970979i	$-0.423126\pi$
$347$	18.6909	−	6.07306i	1.00338	−	0.326019i	0.764216	+	0.644960i	$0.223126\pi$
$348$	−0.906101	−	0.658321i	−0.0485721	−	0.0352897i
$349$	17.9960	+	2.85029i	0.963305	+	0.152573i	0.618225	−	0.786001i	$-0.287852\pi$
$349$	17.9960	+	2.85029i	0.963305	+	0.152573i	0.345080	+	0.938573i	$0.387852\pi$
$350$	11.8816	+	3.86058i	0.635100	+	0.206357i
$351$	1.56137	−	3.24994i	0.0833397	−	0.173469i
$352$	−9.00847	−	19.9149i	−0.480153	−	1.06147i
$353$	20.9713	+	20.9713i	1.11619	+	1.11619i	0.992295	+	0.123895i	$0.0395385\pi$
$353$	20.9713	+	20.9713i	1.11619	+	1.11619i	0.123895	+	0.992295i	$0.460461\pi$
$354$	−6.27581	−	2.03913i	−0.333556	−	0.108379i
$355$	−8.80034	−	12.1126i	−0.467073	−	0.642871i
$356$	2.28822	+	14.4473i	0.121276	+	0.765704i
$357$	−3.18669	+	6.25423i	−0.168657	+	0.331009i
$358$	−12.2367	+	24.0159i	−0.646730	+	1.26928i
$359$	−5.11949	−	32.3232i	−0.270196	−	1.70595i	−0.633054	−	0.774108i	$-0.718199\pi$
$359$	−5.11949	−	32.3232i	−0.270196	−	1.70595i	0.362858	−	0.931845i	$-0.381801\pi$
$360$	2.14454	+	2.95170i	0.113027	+	0.155568i
$361$	2.71807	+	0.883153i	0.143056	+	0.0464817i
$362$	12.0738	+	12.0738i	0.634587	+	0.634587i
$363$	10.9526	+	1.02009i	0.574862	+	0.0535409i
$364$	8.03815	+	22.9034i	0.421314	+	1.20046i
$365$	7.15678	+	2.32538i	0.374603	+	0.121716i
$366$	5.15995	+	0.817256i	0.269715	+	0.0427186i
$367$	−18.9120	−	13.7404i	−0.987198	−	0.717241i	−0.0278922	−	0.999611i	$-0.508880\pi$
$367$	−18.9120	−	13.7404i	−0.987198	−	0.717241i	−0.959306	+	0.282370i	$0.908880\pi$
$368$	7.41863	−	2.41046i	0.386723	−	0.125654i
$369$	−9.26012	−	4.71827i	−0.482063	−	0.245623i
$370$	−11.0788	+	1.75470i	−0.575957	+	0.0912227i
$371$	15.8310	+	2.50738i	0.821902	+	0.130177i
$372$	0.546304	+	1.07218i	0.0283246	+	0.0555901i
$373$		−	29.4300i		−	1.52383i	−0.647680	−	0.761913i	$-0.724260\pi$
$373$		−	29.4300i		−	1.52383i	0.647680	−	0.761913i	$-0.275740\pi$
$374$	9.68672	+	21.4143i	0.500888	+	1.10731i
$375$	8.38113	−	8.38113i	0.432800	−	0.432800i
$376$	−8.16930	+	25.1425i	−0.421300	+	1.29663i
$377$	−1.31096	+	0.239163i	−0.0675177	+	0.0123175i
$378$	4.03102	+	2.92871i	0.207334	+	0.150637i
$379$	−1.96313	+	3.85285i	−0.100839	+	0.197908i	−0.935914	−	0.352228i	$-0.885424\pi$
$379$	−1.96313	+	3.85285i	−0.100839	+	0.197908i	0.835075	+	0.550136i	$0.185424\pi$
$380$	−18.2814	+	5.94000i	−0.937818	+	0.304716i
$381$	−10.8404	−	7.87601i	−0.555370	−	0.403500i
$382$	3.60977	−	22.7912i	0.184692	−	1.16610i
$383$	−30.8232	+	15.7052i	−1.57499	+	0.802499i	−0.999879	−	0.0155736i	$-0.995043\pi$
$383$	−30.8232	+	15.7052i	−1.57499	+	0.802499i	−0.575115	+	0.818073i	$0.695043\pi$
$384$	−11.3377	−	11.3377i	−0.578576	−	0.578576i
$385$	−7.26711	+	9.08367i	−0.370366	+	0.462946i
$386$	−11.1973			−0.569927
$387$	0.483005	−	1.48654i	0.0245525	−	0.0755648i
$388$	3.86814	−	24.4225i	0.196375	−	1.23986i
$389$	16.2941	−	22.4269i	0.826145	−	1.13709i	−0.162483	−	0.986711i	$-0.551950\pi$
$389$	16.2941	−	22.4269i	0.826145	−	1.13709i	0.988628	−	0.150380i	$-0.0480496\pi$
$390$	12.6535	+	1.70205i	0.640732	+	0.0861865i
$391$	−26.7066	+	8.67749i	−1.35061	+	0.438839i
$392$	4.71249	−	0.746385i	0.238017	−	0.0376981i
$393$	−12.4284	−	17.1062i	−0.626930	−	0.862895i
$394$	35.7296	+	11.6092i	1.80003	+	0.584865i
$395$	−1.91012	+	1.91012i	−0.0961084	+	0.0961084i
$396$	9.69248	−	2.65875i	0.487065	−	0.133607i
$397$	2.15292	−	2.15292i	0.108052	−	0.108052i	−0.651014	−	0.759066i	$-0.725656\pi$
$397$	2.15292	−	2.15292i	0.108052	−	0.108052i	0.759066	+	0.651014i	$0.225656\pi$
$398$	33.2345	−	16.9338i	1.66590	−	0.848817i
$399$	−7.22098	+	5.24635i	−0.361501	+	0.262646i
$400$	−1.29351	+	1.78037i	−0.0646756	+	0.0890183i
$401$	−8.22164	−	4.18913i	−0.410569	−	0.209195i	0.236492	−	0.971633i	$-0.424002\pi$
$401$	−8.22164	−	4.18913i	−0.410569	−	0.209195i	−0.647061	+	0.762438i	$0.724002\pi$
$402$	−7.81354	−	24.0476i	−0.389704	−	1.19939i
$403$	1.37164	+	0.410495i	0.0683263	+	0.0204482i
$404$	16.6452	+	22.9102i	0.828131	+	1.13983i
$405$	1.40674	−	0.716768i	0.0699013	−	0.0356165i
$406$		−	1.84155i		−	0.0913947i
$407$	−2.12339	+	10.2892i	−0.105252	+	0.510015i
$408$	5.16300	+	5.16300i	0.255606	+	0.255606i
$409$	8.88919	+	17.4460i	0.439542	+	0.862650i	0.999419	+	0.0340742i	$0.0108483\pi$
$409$	8.88919	+	17.4460i	0.439542	+	0.862650i	−0.559877	+	0.828576i	$0.689152\pi$
$410$	5.75704	−	36.3485i	0.284320	−	1.79513i
$411$	8.77710	−	1.39016i	0.432942	−	0.0685713i
$412$	10.2786	+	31.6344i	0.506393	+	1.55852i
$413$	−2.01979	−	6.21627i	−0.0993872	−	0.305882i
$414$	3.11824	+	19.6878i	0.153253	+	0.967601i
$415$	19.0593	−	13.8474i	0.935584	−	0.679742i
$416$	−23.7553	+	0.555254i	−1.16470	+	0.0272236i
$417$			12.8956i			0.631498i
$418$	−1.38726	+	29.8543i	−0.0678533	+	1.46022i
$419$	−8.21158			−0.401162			−0.200581	−	0.979677i	$-0.564283\pi$
$419$	−8.21158			−0.401162			−0.200581	+	0.979677i	$0.564283\pi$
$420$	−3.28447	+	10.1086i	−0.160266	+	0.493248i
$421$	−22.2443	−	3.52315i	−1.08412	−	0.171708i	−0.411290	−	0.911504i	$-0.634922\pi$
$421$	−22.2443	−	3.52315i	−1.08412	−	0.171708i	−0.672831	+	0.739796i	$0.734922\pi$
$422$	−4.30270	−	27.1662i	−0.209452	−	1.32243i
$423$	10.1930	+	5.19357i	0.495599	+	0.252520i
$424$	7.56934	−	14.8557i	0.367600	−	0.721455i
$425$	4.65655	−	6.40920i	0.225876	−	0.310892i
$426$	−17.2070	+	12.5016i	−0.833682	+	0.605705i
$427$	2.34927	+	4.61069i	0.113689	+	0.223127i
$428$	−41.8642			−2.02358
$429$	5.67322	−	10.5268i	0.273906	−	0.508241i
$430$	5.53478			0.266911
$431$	−6.05134	−	11.8764i	−0.291483	−	0.572068i	0.698105	−	0.715995i	$-0.254027\pi$
$431$	−6.05134	−	11.8764i	−0.291483	−	0.572068i	−0.989588	+	0.143928i	$0.954027\pi$
$432$	−0.710064	+	0.515891i	−0.0341629	+	0.0248208i
$433$	4.30061	−	5.91928i	0.206674	−	0.284462i	−0.693079	−	0.720861i	$-0.743746\pi$
$433$	4.30061	−	5.91928i	0.206674	−	0.284462i	0.899753	+	0.436399i	$0.143746\pi$
$434$	−0.898255	+	1.76293i	−0.0431176	+	0.0846231i
$435$	−0.519923	−	0.264914i	−0.0249284	−	0.0127017i
$436$	9.29473	+	58.6846i	0.445137	+	2.81048i
$437$	−35.2677	−	5.58585i	−1.68708	−	0.267208i
$438$	3.30339	−	10.1668i	0.157842	−	0.485789i
$439$	−0.163333			−0.00779545			−0.00389772	−	0.999992i	$-0.501241\pi$
$439$	−0.163333			−0.00779545			−0.00389772	+	0.999992i	$0.501241\pi$
$440$	6.65055	+	10.1093i	0.317052	+	0.481942i
$441$		−	2.06465i		−	0.0983169i
$442$	25.5438	−	0.597059i	1.21500	−	0.0283992i
$443$	−7.70424	+	5.59745i	−0.366039	+	0.265943i	−0.755567	−	0.655072i	$-0.772638\pi$
$443$	−7.70424	+	5.59745i	−0.366039	+	0.265943i	0.389527	+	0.921015i	$0.372638\pi$
$444$	1.50164	+	9.48096i	0.0712645	+	0.449947i
$445$	2.35498	+	7.24790i	0.111637	+	0.343583i
$446$	4.75427	+	14.6322i	0.225121	+	0.692852i
$447$	9.00706	−	1.42658i	0.426019	−	0.0674748i
$448$	4.52682	−	28.5812i	0.213872	−	1.35033i
$449$	13.3470	+	26.1950i	0.629884	+	1.23622i	0.956685	+	0.291124i	$0.0940291\pi$
$449$	13.3470	+	26.1950i	0.629884	+	1.23622i	−0.326802	+	0.945093i	$0.605971\pi$
$450$	−3.97645	−	3.97645i	−0.187452	−	0.187452i
$451$	−29.9529	−	17.0575i	−1.41042	−	0.803204i
$452$			19.5886i			0.921370i
$453$	−7.78794	+	3.96816i	−0.365910	+	0.186440i
$454$	0.850322	+	1.17037i	0.0399076	+	0.0549281i
$455$	6.00302	+	11.1307i	0.281426	+	0.521814i
$456$	2.86909	+	8.83016i	0.134358	+	0.413510i
$457$	35.7765	+	18.2290i	1.67355	+	0.852717i	0.992743	+	0.120257i	$0.0383717\pi$
$457$	35.7765	+	18.2290i	1.67355	+	0.852717i	0.680809	+	0.732461i	$0.261628\pi$
$458$	7.33163	−	10.0911i	0.342584	−	0.471527i
$459$	2.55618	−	1.85717i	0.119312	−	0.0866854i
$460$	−37.8864	+	19.3041i	−1.76646	+	0.900057i
$461$	−8.55024	+	8.55024i	−0.398224	+	0.398224i	−0.877606	−	0.479382i	$-0.840861\pi$
$461$	−8.55024	+	8.55024i	−0.398224	+	0.398224i	0.479382	+	0.877606i	$0.340861\pi$
$462$	12.9041	+	10.3235i	0.600354	+	0.480295i
$463$	−8.58700	+	8.58700i	−0.399072	+	0.399072i	−0.877906	−	0.478834i	$-0.841060\pi$
$463$	−8.58700	+	8.58700i	−0.399072	+	0.399072i	0.478834	+	0.877906i	$0.341060\pi$
$464$	0.308512	+	0.100242i	0.0143223	+	0.00465360i
$465$	0.368507	+	0.507207i	0.0170891	+	0.0235212i
$466$	−22.3801	+	3.54467i	−1.03674	+	0.164204i
$467$	−16.7868	+	5.45436i	−0.776800	+	0.252398i	−0.670473	−	0.741934i	$-0.733909\pi$
$467$	−16.7868	+	5.45436i	−0.776800	+	0.252398i	−0.106327	+	0.994331i	$0.533909\pi$
$468$	1.45658	−	10.8286i	0.0673302	−	0.500550i
$469$	14.7212	−	20.2620i	0.679763	−	0.935614i
$470$	−6.33699	+	40.0102i	−0.292304	+	1.84553i
$471$	1.12882	−	3.47414i	0.0520132	−	0.160080i
$472$	−6.79904			−0.312951
$473$	1.82907	−	4.85061i	0.0841008	−	0.223031i
$474$	2.71348	+	2.71348i	0.124634	+	0.124634i
$475$	8.97578	−	4.57339i	0.411837	−	0.209842i
$476$	−3.32750	+	21.0090i	−0.152516	+	0.962945i
$477$	−5.83695	−	4.24079i	−0.267256	−	0.194173i
$478$	−10.2121	+	3.31811i	−0.467090	+	0.151767i
$479$	−17.0444	+	33.4514i	−0.778777	+	1.52844i	0.0687204	+	0.997636i	$0.478108\pi$
$479$	−17.0444	+	33.4514i	−0.778777	+	1.52844i	−0.847497	+	0.530800i	$0.821892\pi$
$480$	−8.41777	−	6.11587i	−0.384217	−	0.279150i
$481$	9.39429	+	6.49546i	0.428343	+	0.296168i
$482$	7.52630	−	23.1636i	0.342814	−	1.05507i
$483$	−13.9612	+	13.9612i	−0.635255	+	0.635255i
$484$	32.5210	−	7.31640i	1.47823	−	0.332563i
$485$		−	12.8828i		−	0.584977i
$486$	−1.01823	−	1.99839i	−0.0461878	−	0.0906487i
$487$	33.7557	+	5.34637i	1.52961	+	0.242267i	0.863794	−	0.503845i	$-0.168082\pi$
$487$	33.7557	+	5.34637i	1.52961	+	0.242267i	0.665821	+	0.746112i	$0.268082\pi$
$488$	5.31654	−	0.842058i	0.240669	−	0.0381182i
$489$	−2.87320	−	1.46397i	−0.129930	−	0.0662028i
$490$	6.95320	−	2.25923i	0.314114	−	0.102062i
$491$	−3.74827	−	2.72328i	−0.169157	−	0.122900i	0.499986	−	0.866034i	$-0.333339\pi$
$491$	−3.74827	−	2.72328i	−0.169157	−	0.122900i	−0.669143	+	0.743134i	$0.733339\pi$
$492$	−31.1063	−	4.92675i	−1.40238	−	0.222115i
$493$	−1.11062	−	0.360863i	−0.0500199	−	0.0162525i
$494$	29.2856	+	14.0697i	1.31762	+	0.633025i
$495$	4.77094	−	2.15812i	0.214438	−	0.0970004i
$496$	−0.246445	−	0.246445i	−0.0110657	−	0.0110657i
$497$	−20.0361	−	6.51013i	−0.898743	−	0.292019i
$498$	−19.6714	−	27.0753i	−0.881496	−	1.21327i
$499$	−5.29883	−	33.4555i	−0.237208	−	1.49767i	−0.762632	−	0.646832i	$-0.776093\pi$
$499$	−5.29883	−	33.4555i	−0.237208	−	1.49767i	0.525424	−	0.850840i	$-0.323907\pi$
$500$	16.3064	−	32.0030i	0.729243	−	1.43122i
$501$	7.44337	−	14.6084i	0.332545	−	0.652657i
$502$	1.23497	+	7.79729i	0.0551194	+	0.348010i
$503$	18.5728	+	25.5632i	0.828119	+	1.13981i	0.988270	+	0.152716i	$0.0488019\pi$
$503$	18.5728	+	25.5632i	0.828119	+	1.13981i	−0.160151	+	0.987093i	$0.551198\pi$
$504$	4.88257	+	1.58644i	0.217487	+	0.0706657i
$505$	10.4327	+	10.4327i	0.464248	+	0.464248i
$506$	7.29993	+	65.7066i	0.324522	+	2.92102i
$507$	−8.12425	−	10.1487i	−0.360811	−	0.450720i
$508$	−38.6177	−	12.5476i	−1.71338	−	0.556712i
$509$	−0.212720	−	0.0336915i	−0.00942865	−	0.00149335i	0.151718	−	0.988424i	$-0.451519\pi$
$509$	−0.212720	−	0.0336915i	−0.00942865	−	0.00149335i	−0.161147	+	0.986930i	$0.551519\pi$
$510$	9.05154	+	6.57633i	0.400809	+	0.291205i
$511$	10.0703	−	3.27205i	0.445486	−	0.144747i
$512$	8.76818	+	4.46761i	0.387502	+	0.197442i
$513$	3.96825	−	0.628510i	0.175203	−	0.0277494i
$514$	−30.1415	−	4.77394i	−1.32948	−	0.210570i
$515$	7.86756	+	15.4410i	0.346686	+	0.680410i
$516$		−	4.73654i		−	0.208515i
$517$	32.9702	+	18.7758i	1.45003	+	0.825758i
$518$	−11.1605	+	11.1605i	−0.490363	+	0.490363i
$519$	5.05556	−	15.5594i	0.221914	−	0.682982i
$520$	12.9413	−	2.36093i	0.567513	−	0.103533i
$521$	−35.8600	−	26.0538i	−1.57105	−	1.14144i	−0.926139	−	0.377181i	$-0.876893\pi$
$521$	−35.8600	−	26.0538i	−1.57105	−	1.14144i	−0.644914	−	0.764256i	$-0.723107\pi$
$522$	−0.376333	+	0.738595i	−0.0164716	+	0.0323274i
$523$	−0.390452	+	0.126866i	−0.0170733	+	0.00554744i	−0.317541	−	0.948244i	$-0.602857\pi$
$523$	−0.390452	+	0.126866i	−0.0170733	+	0.00554744i	0.300468	+	0.953792i	$0.402857\pi$
$524$	−51.8378	−	37.6624i	−2.26455	−	1.64529i
$525$	0.871371	−	5.50162i	0.0380298	−	0.240110i
$526$	18.0029	−	9.17295i	0.784965	−	0.399960i
$527$	0.887185	+	0.887185i	0.0386464	+	0.0386464i
$528$	−2.43190	+	1.59986i	−0.105835	+	0.0696249i
$529$	−55.9870			−2.43422
$530$	7.89481	−	24.2977i	0.342929	−	1.05543i
$531$	−0.460253	+	2.90592i	−0.0199733	+	0.126106i
$532$	−15.8983	+	21.8821i	−0.689277	+	0.948708i
$533$	−29.7926	+	22.7279i	−1.29046	+	0.984455i
$534$	10.2962	−	3.34545i	0.445562	−	0.144772i
$535$	−21.5428	+	3.41204i	−0.931376	+	0.147515i
$536$	−15.3133	−	21.0769i	−0.661433	−	0.910385i
$537$	11.4295	+	3.71365i	0.493217	+	0.160256i
$538$	11.5018	−	11.5018i	0.495879	−	0.495879i
$539$	0.317854	−	6.84030i	0.0136910	−	0.294633i
$540$	3.38306	−	3.38306i	0.145584	−	0.145584i
$541$	12.6361	−	6.43841i	0.543268	−	0.276809i	−0.160745	−	0.986996i	$-0.551390\pi$
$541$	12.6361	−	6.43841i	0.543268	−	0.276809i	0.704013	+	0.710187i	$0.251390\pi$
$542$	6.82042	−	4.95532i	0.292962	−	0.212849i
$543$	4.47487	−	6.15913i	0.192035	−	0.264314i
$544$	−18.5533	−	9.45340i	−0.795468	−	0.405311i
$545$	9.56591	+	29.4408i	0.409759	+	1.26111i
$546$	15.8121	−	8.52780i	0.676694	−	0.364956i
$547$	17.0393	+	23.4526i	0.728548	+	1.00276i	0.999196	+	0.0400815i	$0.0127618\pi$
$547$	17.0393	+	23.4526i	0.728548	+	1.00276i	−0.270649	+	0.962678i	$0.587238\pi$
$548$	23.9941	−	12.2256i	1.02498	−	0.522252i
$549$		−	2.32931i		−	0.0994123i
$550$	−12.5620	−	13.7864i	−0.535646	−	0.587853i
$551$	−1.05000	−	1.05000i	−0.0447317	−	0.0447317i
$552$	9.32411	+	18.2996i	0.396861	+	0.778883i
$553$	−0.594613	+	3.75424i	−0.0252855	+	0.159646i
$554$	−24.6654	+	3.90662i	−1.04793	+	0.165976i
$555$	1.54545	+	4.75640i	0.0656006	+	0.201898i
$556$	12.0758	+	37.1654i	0.512127	+	1.57616i
$557$	2.63265	+	16.6219i	0.111549	+	0.704291i	0.978554	+	0.205992i	$0.0660420\pi$
$557$	2.63265	+	16.6219i	0.111549	+	0.704291i	−0.867005	+	0.498300i	$0.833958\pi$
$558$	0.720530	−	0.523496i	0.0305025	−	0.0221613i
$559$	−4.07701	−	3.89077i	−0.172439	−	0.164562i
$560$		−	3.07844i		−	0.130088i
$561$	8.75467	−	5.75938i	0.369622	−	0.243161i
$562$	−27.2537			−1.14963
$563$	6.21001	−	19.1124i	0.261721	−	0.805493i	−0.730710	−	0.682688i	$-0.760811\pi$
$563$	6.21001	−	19.1124i	0.261721	−	0.805493i	0.992431	−	0.122805i	$-0.0391891\pi$
$564$	34.2399	+	5.42306i	1.44176	+	0.228352i
$565$	1.59652	+	10.0801i	0.0671662	+	0.424071i
$566$	−21.2780	−	10.8417i	−0.894382	−	0.455711i
$567$	1.00857	−	1.97943i	0.0423559	−	0.0831282i
$568$	−12.8810	+	17.7292i	−0.540475	+	0.743901i
$569$	−1.91960	+	1.39467i	−0.0804737	+	0.0584675i	−0.627295	−	0.778782i	$-0.715838\pi$
$569$	−1.91960	+	1.39467i	−0.0804737	+	0.0584675i	0.546821	+	0.837250i	$0.315838\pi$
$570$	6.45888	+	12.6763i	0.270533	+	0.530951i
$571$	−15.5658			−0.651409			−0.325705	−	0.945472i	$-0.605601\pi$
$571$	−15.5658			−0.651409			−0.325705	+	0.945472i	$0.605601\pi$
$572$	6.49277	−	35.6513i	0.271476	−	1.49066i
$573$	−10.2884			−0.429804
$574$	−23.5093	−	46.1397i	−0.981260	−	1.92583i
$575$	18.0280	−	13.0981i	0.751819	−	0.546229i
$576$	−7.65632	+	10.5380i	−0.319013	+	0.439084i
$577$	−3.35537	+	6.58529i	−0.139686	+	0.274149i	−0.950242	−	0.311511i	$-0.899165\pi$
$577$	−3.35537	+	6.58529i	−0.139686	+	0.274149i	0.810556	+	0.585661i	$0.199165\pi$
$578$	−14.0224	−	7.14476i	−0.583254	−	0.297183i
$579$	0.780991	+	4.93099i	0.0324569	+	0.204925i
$580$	−1.74651	−	0.276620i	−0.0725198	−	0.0114860i
$581$	10.2437	−	31.5270i	0.424982	−	1.30796i
$582$	−18.3011			−0.758604
$583$	−18.6852	−	14.9486i	−0.773863	−	0.619106i
$584$		−	11.0144i		−	0.455780i
$585$	−0.133020	−	5.69096i	−0.00549970	−	0.235292i
$586$	−29.8851	+	21.7128i	−1.23454	+	0.896946i
$587$	−0.458853	−	2.89708i	−0.0189389	−	0.119575i	0.976408	−	0.215935i	$-0.0692800\pi$
$587$	−0.458853	−	2.89708i	−0.0189389	−	0.119575i	−0.995347	+	0.0963599i	$0.969280\pi$
$588$	−1.93340	−	5.95040i	−0.0797322	−	0.245390i
$589$	0.493012	+	1.51733i	0.0203142	+	0.0625206i
$590$	−10.2900	+	1.62978i	−0.423633	+	0.0670968i
$591$	2.62032	−	16.5441i	0.107786	−	0.680532i
$592$	−1.26219	−	2.47720i	−0.0518759	−	0.101812i
$593$	9.26062	+	9.26062i	0.380288	+	0.380288i	0.871206	−	0.490918i	$-0.163338\pi$
$593$	9.26062	+	9.26062i	0.380288	+	0.380288i	−0.490918	+	0.871206i	$0.663338\pi$
$594$	−3.06579	−	6.77752i	−0.125791	−	0.278085i
$595$			11.0822i			0.454325i
$596$	24.6227	−	12.5459i	1.00859	−	0.513901i
$597$	−9.77526	−	13.4545i	−0.400075	−	0.550656i
$598$	68.8529	+	20.6058i	2.81560	+	0.842634i
$599$	9.04269	+	27.8306i	0.369474	+	1.13713i	0.947131	+	0.320846i	$0.103967\pi$
$599$	9.04269	+	27.8306i	0.369474	+	1.13713i	−0.577657	+	0.816280i	$0.696033\pi$
$600$	−5.16269	−	2.63052i	−0.210766	−	0.107391i
$601$	7.94654	−	10.9375i	0.324146	−	0.446149i	−0.615581	−	0.788073i	$-0.711079\pi$
$601$	7.94654	−	10.9375i	0.324146	−	0.446149i	0.939727	+	0.341924i	$0.111079\pi$
$602$	6.30063	−	4.57768i	0.256795	−	0.186572i
$603$	−10.0449	+	5.11816i	−0.409062	+	0.208427i
$604$	−18.7292	+	18.7292i	−0.762081	+	0.762081i
$605$	16.1386	−	6.41548i	0.656127	−	0.260826i
$606$	14.8205	−	14.8205i	0.602041	−	0.602041i
$607$	−36.3172	−	11.8002i	−1.47407	−	0.478954i	−0.541734	−	0.840550i	$-0.682232\pi$
$607$	−36.3172	−	11.8002i	−1.47407	−	0.478954i	−0.932335	+	0.361596i	$0.882232\pi$
$608$	−15.5634	−	21.4212i	−0.631181	−	0.868746i
$609$	−0.810970	+	0.128445i	−0.0328622	+	0.00520486i
$610$	7.84448	−	2.54882i	0.317614	−	0.103199i
$611$	32.7938	−	25.0175i	1.32670	−	1.01210i
$612$	5.62788	−	7.74612i	0.227494	−	0.313118i
$613$	4.58039	−	28.9195i	0.185000	−	1.16805i	−0.704021	−	0.710179i	$-0.748614\pi$
$613$	4.58039	−	28.9195i	0.185000	−	1.16805i	0.889021	−	0.457866i	$-0.151386\pi$
$614$	−17.6995	+	54.4736i	−0.714296	+	2.19838i
$615$	−16.4085			−0.661653
$616$	15.9320	+	6.00763i	0.641917	+	0.242054i
$617$	−3.05048	−	3.05048i	−0.122808	−	0.122808i	0.643032	−	0.765839i	$-0.277676\pi$
$617$	−3.05048	−	3.05048i	−0.122808	−	0.122808i	−0.765839	+	0.643032i	$0.777676\pi$
$618$	21.9352	−	11.1765i	0.882362	−	0.449586i
$619$	5.56142	−	35.1134i	0.223532	−	1.41133i	−0.579296	−	0.815117i	$-0.696672\pi$
$619$	5.56142	−	35.1134i	0.223532	−	1.41133i	0.802828	−	0.596210i	$-0.203328\pi$
$620$	1.53701	+	1.11671i	0.0617279	+	0.0448480i
$621$	8.45248	−	2.74638i	0.339186	−	0.110208i
$622$	19.2754	−	37.8300i	0.772872	−	1.51685i
$623$	8.67541	+	6.30306i	0.347573	+	0.252527i
$624$	0.567946	+	3.11316i	0.0227360	+	0.124626i
$625$	1.90868	−	5.87431i	0.0763472	−	0.234972i
$626$	2.54913	−	2.54913i	0.101884	−	0.101884i
$627$	13.2438	−	1.47137i	0.528906	−	0.0587608i
$628$		−	11.0697i		−	0.441727i
$629$	4.54382	+	8.91774i	0.181174	+	0.355574i
$630$	7.76980	+	1.23062i	0.309556	+	0.0490289i
$631$	43.4836	−	6.88712i	1.73105	−	0.274172i	0.790166	−	0.612893i	$-0.209994\pi$
$631$	43.4836	−	6.88712i	1.73105	−	0.274172i	0.940887	+	0.338721i	$0.109994\pi$
$632$	3.52295	+	1.79503i	0.140136	+	0.0714026i
$633$	−11.6632	+	3.78959i	−0.463569	+	0.150623i
$634$	−48.3232	−	35.1088i	−1.91916	−	1.39435i
$635$	−20.8949	−	3.30942i	−0.829187	−	0.131330i
$636$	−20.7935	−	6.75621i	−0.824515	−	0.267901i
$637$	−6.71001	−	3.22369i	−0.265860	−	0.127727i
$638$	−1.36052	+	2.38906i	−0.0538634	+	0.0945840i
$639$	6.70554	+	6.70554i	0.265267	+	0.265267i
$640$	−24.0757	−	7.82268i	−0.951677	−	0.309219i
$641$	23.3256	+	32.1050i	0.921307	+	1.26807i	0.963155	+	0.268947i	$0.0866756\pi$
$641$	23.3256	+	32.1050i	0.921307	+	1.26807i	−0.0418475	+	0.999124i	$0.513324\pi$
$642$	4.84709	+	30.6033i	0.191299	+	1.20782i
$643$	−16.9443	+	33.2550i	−0.668216	+	1.31145i	0.269148	+	0.963099i	$0.413258\pi$
$643$	−16.9443	+	33.2550i	−0.668216	+	1.31145i	−0.937365	+	0.348350i	$0.886742\pi$
$644$	−27.1629	+	53.3101i	−1.07037	+	2.10071i
$645$	−0.386041	−	2.43737i	−0.0152003	−	0.0959712i
$646$	16.7352	+	23.0340i	0.658438	+	0.906262i
$647$	35.4644	+	11.5231i	1.39425	+	0.453019i	0.907327	−	0.420425i	$-0.138119\pi$
$647$	35.4644	+	11.5231i	1.39425	+	0.453019i	0.486923	+	0.873445i	$0.338119\pi$
$648$	−1.63406	−	1.63406i	−0.0641919	−	0.0641919i
$649$	−1.97221	+	9.55662i	−0.0774160	+	0.375130i
$650$	−19.1320	+	6.71454i	−0.750417	+	0.263366i
$651$	0.838997	+	0.272607i	0.0328829	+	0.0106843i
$652$	−9.65154	−	1.52865i	−0.377984	−	0.0598667i
$653$	−2.25003	−	1.63475i	−0.0880506	−	0.0639725i	0.542889	−	0.839804i	$-0.317330\pi$
$653$	−2.25003	−	1.63475i	−0.0880506	−	0.0639725i	−0.630940	+	0.775832i	$0.717330\pi$
$654$	41.8232	−	13.5892i	1.63542	−	0.531379i
$655$	−29.7447	−	15.1557i	−1.16222	−	0.592181i
$656$	9.00939	−	1.42695i	0.351757	−	0.0557129i
$657$	−4.70759	−	0.745610i	−0.183661	−	0.0290890i
$658$	25.8776	+	50.7877i	1.00881	+	1.97991i
$659$		−	11.1105i		−	0.432804i	−0.976304	−	0.216402i	$-0.930568\pi$
$659$		−	11.1105i		−	0.432804i	0.976304	−	0.216402i	$-0.0694321\pi$
$660$	11.7291	−	10.6874i	0.456553	−	0.416007i
$661$	23.1308	−	23.1308i	0.899684	−	0.899684i	−0.0957241	−	0.995408i	$-0.530517\pi$
$661$	23.1308	−	23.1308i	0.899684	−	0.899684i	0.995408	+	0.0957241i	$0.0305167\pi$
$662$	−2.22198	+	6.83856i	−0.0863598	+	0.265788i
$663$	−2.04457	−	11.2072i	−0.0794044	−	0.435251i
$664$	−27.8970	−	20.2684i	−1.08261	−	0.786565i
$665$	−6.39760	+	12.5560i	−0.248088	+	0.486901i
$666$	6.75687	−	2.19544i	0.261823	−	0.0850715i
$667$	−2.65743	−	1.93074i	−0.102896	−	0.0747584i
$668$	7.77227	−	49.0722i	0.300718	−	1.89866i
$669$	6.11201	−	3.11422i	0.236304	−	0.120403i
$670$	−28.2282	−	28.2282i	−1.09055	−	1.09055i
$671$	0.358598	−	7.71711i	0.0138435	−	0.297916i
$672$	−14.6408			−0.564783
$673$	9.10324	−	28.0169i	0.350904	−	1.07997i	−0.607442	−	0.794364i	$-0.707804\pi$
$673$	9.10324	−	28.0169i	0.350904	−	1.07997i	0.958346	−	0.285608i	$-0.0921957\pi$
$674$	−11.3191	+	71.4662i	−0.435997	+	2.75278i
$675$	−1.47377	+	2.02848i	−0.0567256	+	0.0780760i
$676$	−32.9179	−	21.6412i	−1.26607	−	0.832352i
$677$	43.8188	−	14.2376i	1.68409	−	0.547195i	0.698395	−	0.715712i	$-0.253898\pi$
$677$	43.8188	−	14.2376i	1.68409	−	0.547195i	0.985699	+	0.168517i	$0.0538978\pi$
$678$	14.3196	−	2.26800i	0.549939	−	0.0871018i
$679$	−10.6550	−	14.6654i	−0.408903	−	0.562806i
$680$	10.9637	+	3.56231i	0.420437	+	0.136608i
$681$	0.456090	−	0.456090i	0.0174774	−	0.0174774i
$682$	2.46774	−	1.62344i	0.0944948	−	0.0621648i
$683$	19.8368	−	19.8368i	0.759035	−	0.759035i	−0.217111	−	0.976147i	$-0.569664\pi$
$683$	19.8368	−	19.8368i	0.759035	−	0.759035i	0.976147	+	0.217111i	$0.0696635\pi$
$684$	10.8481	−	5.52737i	0.414787	−	0.211344i
$685$	11.3506	−	8.24673i	0.433686	−	0.315091i
$686$	26.5478	−	36.5398i	1.01360	−	1.39510i
$687$	−4.95523	−	2.52481i	−0.189054	−	0.0963276i
$688$	0.423927	+	1.30471i	0.0161621	+	0.0497417i
$689$	−22.8960	+	12.3483i	−0.872267	+	0.470433i
$690$	18.4981	+	25.4605i	0.704211	+	0.969264i
$691$	−27.6898	+	14.1087i	−1.05337	+	0.536718i	−0.892869	−	0.450317i	$-0.851311\pi$
$691$	−27.6898	+	14.1087i	−1.05337	+	0.536718i	−0.160501	+	0.987036i	$0.551311\pi$
$692$		−	49.5769i		−	1.88463i
$693$	3.64617	−	6.40267i	0.138507	−	0.243217i
$694$	−31.1680	−	31.1680i	−1.18312	−	1.18312i
$695$	9.24312	+	18.1407i	0.350612	+	0.688114i
$696$	−0.133611	+	0.843586i	−0.00506451	+	0.0319760i
$697$	−32.4332	+	5.13691i	−1.22849	+	0.194574i
$698$	−12.6281	−	38.8653i	−0.477981	−	1.47107i
$699$	3.12195	+	9.60838i	0.118083	+	0.363422i
$700$	−2.64056	−	16.6718i	−0.0998037	−	0.630136i
$701$	−4.19852	+	3.05041i	−0.158576	+	0.115212i	−0.664244	−	0.747516i	$-0.731246\pi$
$701$	−4.19852	+	3.05041i	−0.158576	+	0.115212i	0.505668	+	0.862728i	$0.331246\pi$
$702$	−8.08448	+	0.188966i	−0.305129	+	0.00713206i
$703$			12.7268i			0.480001i
$704$	−26.9881	+	33.7343i	−1.01715	+	1.27141i
$705$	18.0614			0.680232
$706$	20.5552	−	63.2624i	0.773606	−	2.38091i
$707$	20.5049	+	3.24766i	0.771166	+	0.122141i
$708$	1.39473	+	8.80596i	0.0524171	+	0.330948i
$709$	7.36238	+	3.75132i	0.276500	+	0.140884i	0.586742	−	0.809774i	$-0.300410\pi$
$709$	7.36238	+	3.75132i	0.276500	+	0.140884i	−0.310242	+	0.950658i	$0.600410\pi$
$710$	−15.2450	+	29.9199i	−0.572133	+	1.12287i
$711$	1.00568	−	1.38421i	0.0377161	−	0.0519118i
$712$	9.02432	−	6.55655i	0.338201	−	0.245717i
$713$	1.60221	+	3.14452i	0.0600033	+	0.117763i
$714$	15.7432			0.589173
$715$	0.435423	−	18.8749i	0.0162839	−	0.705881i
$716$	36.4176			1.36099
$717$	2.17348	+	4.26570i	0.0811701	+	0.159305i
$718$	−59.3814	+	43.1431i	−2.21610	+	1.61009i
$719$	17.3933	−	23.9399i	0.648662	−	0.892807i	−0.350378	−	0.936608i	$-0.613947\pi$
$719$	17.3933	−	23.9399i	0.648662	−	0.892807i	0.999040	+	0.0438014i	$0.0139469\pi$
$720$	−0.629098	+	1.23467i	−0.0234451	+	0.0460136i
$721$	21.7271	+	11.0705i	0.809158	+	0.412286i
$722$	−1.00273	−	6.33100i	−0.0373178	−	0.235616i
$723$	−10.7256	−	1.69876i	−0.398888	−	0.0631776i
$724$	7.12913	−	21.9412i	0.264952	−	0.815439i
$725$	0.926698			0.0344167
$726$	−9.11372	−	22.9262i	−0.338242	−	0.850872i
$727$			33.3075i			1.23531i	0.786451	+	0.617653i	$0.211916\pi$
$727$			33.3075i			1.23531i	−0.786451	+	0.617653i	$0.788084\pi$
$728$	12.7793	−	13.3910i	0.473634	−	0.496305i
$729$	−0.809017	+	0.587785i	−0.0299636	+	0.0217698i
$730$	−2.64024	−	16.6698i	−0.0977195	−	0.616977i
$731$	−1.52611	−	4.69688i	−0.0564451	−	0.173720i
$732$	−2.18123	−	6.71313i	−0.0806206	−	0.248125i
$733$	5.26790	−	0.834353i	0.194574	−	0.0308175i	−0.0583866	−	0.998294i	$-0.518596\pi$
$733$	5.26790	−	0.834353i	0.194574	−	0.0308175i	0.252961	+	0.967477i	$0.418596\pi$
$734$	−8.20184	+	51.7844i	−0.302735	+	1.91140i
$735$	−1.47988	−	2.90443i	−0.0545862	−	0.107131i
$736$	−41.4162	−	41.4162i	−1.52662	−	1.52662i
$737$	−34.0673	+	15.4103i	−1.25489	+	0.567645i
$738$			23.3096i			0.858038i
$739$	−26.2925	+	13.3967i	−0.967184	+	0.492805i	−0.864897	−	0.501950i	$-0.832616\pi$
$739$	−26.2925	+	13.3967i	−0.967184	+	0.492805i	−0.102288	+	0.994755i	$0.532616\pi$
$740$	8.90806	+	12.2609i	0.327467	+	0.450720i
$741$	4.15329	−	13.8779i	0.152575	−	0.509818i
$742$	−11.1088	−	34.1895i	−0.407818	−	1.25514i
$743$	21.8347	+	11.1253i	0.801037	+	0.408149i	0.806057	−	0.591838i	$-0.201598\pi$
$743$	21.8347	+	11.1253i	0.801037	+	0.408149i	−0.00501921	+	0.999987i	$0.501598\pi$
$744$	0.539383	−	0.742396i	0.0197747	−	0.0272176i
$745$	11.6480	−	8.46279i	0.426751	−	0.310053i
$746$	−58.8125	+	29.9665i	−2.15328	+	1.09715i
$747$	−10.5512	+	10.5512i	−0.386049	+	0.386049i
$748$	19.8380	−	24.7969i	0.725348	−	0.906663i
$749$	−21.7017	+	21.7017i	−0.792963	+	0.792963i
$750$	−25.2827	−	8.21484i	−0.923193	−	0.299964i
$751$	−7.36962	−	10.1434i	−0.268921	−	0.370138i	0.653104	−	0.757268i	$-0.273466\pi$
$751$	−7.36962	−	10.1434i	−0.268921	−	0.370138i	−0.922025	+	0.387130i	$0.873466\pi$
$752$	−9.91697	+	1.57069i	−0.361635	+	0.0572773i
$753$	3.34758	−	1.08770i	0.121993	−	0.0396378i
$754$	1.81280	+	2.37628i	0.0660181	+	0.0865390i
$755$	−8.11134	+	11.1643i	−0.295202	+	0.406311i
$756$	1.05313	−	6.64923i	0.0383021	−	0.241830i
$757$	−13.4937	+	41.5293i	−0.490436	+	1.50941i	0.333514	+	0.942745i	$0.391765\pi$
$757$	−13.4937	+	41.5293i	−0.490436	+	1.50941i	−0.823950	+	0.566662i	$0.808235\pi$
$758$	9.69841			0.352262
$759$	28.4263	−	7.79762i	1.03181	−	0.283036i
$760$	10.3652	+	10.3652i	0.375987	+	0.375987i
$761$	6.81418	−	3.47200i	0.247014	−	0.125860i	−0.326101	−	0.945335i	$-0.605735\pi$
$761$	6.81418	−	3.47200i	0.247014	−	0.125860i	0.573115	+	0.819475i	$0.305735\pi$
$762$	−4.70131	+	29.6829i	−0.170311	+	1.07530i
$763$	35.2394	+	25.6029i	1.27575	+	0.926888i
$764$	−29.6515	+	9.63436i	−1.07275	+	0.348559i
$765$	2.26471	−	4.44475i	0.0818808	−	0.160700i
$766$	62.7703	+	45.6053i	2.26798	+	1.64778i
$767$	8.72546	+	6.03302i	0.315058	+	0.217840i
$768$	−3.06244	+	9.42523i	−0.110506	+	0.340104i
$769$	−34.1440	+	34.1440i	−1.23126	+	1.23126i	−0.267784	+	0.963479i	$0.586291\pi$
$769$	−34.1440	+	34.1440i	−1.23126	+	1.23126i	−0.963479	+	0.267784i	$0.913709\pi$
$770$	25.5523	+	5.27325i	0.920840	+	0.190035i
$771$			13.6065i			0.490025i
$772$	6.86836	+	13.4799i	0.247198	+	0.485153i
$773$	12.9829	+	2.05629i	0.466963	+	0.0739597i	0.385482	−	0.922715i	$-0.374035\pi$
$773$	12.9829	+	2.05629i	0.466963	+	0.0739597i	0.0814808	+	0.996675i	$0.474035\pi$
$774$	−3.46248	+	0.548404i	−0.124456	+	0.0197120i
$775$	−0.887132	−	0.452016i	−0.0318667	−	0.0162369i
$776$	−17.9336	+	5.82697i	−0.643778	+	0.209176i
$777$	5.69320	+	4.13635i	0.204242	+	0.148391i
$778$	−61.4089	−	9.72621i	−2.20162	−	0.348702i
$779$	−39.7120	−	12.9032i	−1.42283	−	0.462305i
$780$	−5.71254	−	16.2770i	−0.204542	−	0.582808i
$781$	21.1835	+	23.2481i	0.758004	+	0.831882i
$782$	44.5344	+	44.5344i	1.59255	+	1.59255i
$783$	0.351506	+	0.114211i	0.0125618	+	0.00408158i
$784$	1.06514	+	1.46604i	0.0380406	+	0.0523584i
$785$	−0.902207	−	5.69631i	−0.0322011	−	0.203310i
$786$	−21.5299	+	42.2548i	−0.767947	+	1.50718i
$787$	0.999033	−	1.96071i	0.0356117	−	0.0698919i	−0.872515	−	0.488587i	$-0.837512\pi$
$787$	0.999033	−	1.96071i	0.0356117	−	0.0698919i	0.908127	+	0.418695i	$0.137512\pi$
$788$	−7.94049	−	50.1343i	−0.282868	−	1.78596i
$789$	−5.29519	−	7.28821i	−0.188514	−	0.259467i
$790$	5.76209	+	1.87222i	0.205006	+	0.0666105i
$791$	10.1544	+	10.1544i	0.361049	+	0.361049i
$792$	−5.16216	−	5.66529i	−0.183429	−	0.201307i
$793$	−7.57011	−	3.63691i	−0.268822	−	0.129150i
$794$	−6.49455	−	2.11021i	−0.230483	−	0.0748884i
$795$	−11.2507	−	1.78194i	−0.399022	−	0.0631989i
$796$	−40.7718	−	29.6224i	−1.44512	−	1.04994i
$797$	22.5547	−	7.32846i	0.798927	−	0.259587i	0.119026	−	0.992891i	$-0.462023\pi$
$797$	22.5547	−	7.32846i	0.798927	−	0.259587i	0.679901	+	0.733304i	$0.262023\pi$
$798$	17.8368	+	9.08833i	0.631418	+	0.321723i
$799$	35.7004	−	5.65439i	1.26299	−	0.200038i
$800$	16.3207	+	2.58495i	0.577025	+	0.0913917i
$801$	−2.19139	−	4.30085i	−0.0774291	−	0.151963i
$802$			20.6955i			0.730784i
$803$	−15.4817	−	3.19498i	−0.546337	−	0.112748i
$804$	−24.1571	+	24.1571i	−0.851954	+	0.851954i
$805$	−9.63277	+	29.6466i	−0.339510	+	1.04491i
$806$	−0.576317	−	3.15905i	−0.0202999	−	0.111273i
$807$	−5.86732	−	4.26286i	−0.206540	−	0.150060i
$808$	9.80412	−	19.2417i	0.344908	−	0.676919i
$809$	−11.8602	+	3.85360i	−0.416982	+	0.135486i	−0.509991	−	0.860180i	$-0.670351\pi$
$809$	−11.8602	+	3.85360i	−0.416982	+	0.135486i	0.0930095	+	0.995665i	$0.470351\pi$
$810$	−2.86476	−	2.08137i	−0.100658	−	0.0731320i
$811$	5.41884	−	34.2132i	0.190281	−	1.20139i	−0.688884	−	0.724872i	$-0.741899\pi$
$811$	5.41884	−	34.2132i	0.190281	−	1.20139i	0.879165	−	0.476517i	$-0.158101\pi$
$812$	−2.21696	+	1.12960i	−0.0778002	+	0.0396412i
$813$	−2.65790	−	2.65790i	−0.0932168	−	0.0932168i
$814$	22.7238	−	6.23338i	0.796470	−	0.218480i
$815$	−5.09116			−0.178335
$816$	−0.856951	+	2.63742i	−0.0299993	+	0.0923283i
$817$	0.982383	−	6.20252i	0.0343692	−	0.216999i
$818$	25.8127	−	35.5281i	0.902519	−	1.24221i
$819$	−4.85828	−	6.36841i	−0.169762	−	0.222530i
$820$	−47.2897	+	15.3654i	−1.65143	+	0.536582i
$821$	−37.2532	+	5.90033i	−1.30015	+	0.205923i	−0.767847	−	0.640633i	$-0.778672\pi$
$821$	−37.2532	+	5.90033i	−1.30015	+	0.205923i	−0.532299	+	0.846556i	$0.678672\pi$
$822$	−11.7152	−	16.1245i	−0.408613	−	0.562408i
$823$	45.7551	+	14.8667i	1.59492	+	0.518222i	0.965845	−	0.259121i	$-0.0834330\pi$
$823$	45.7551	+	14.8667i	1.59492	+	0.518222i	0.629077	+	0.777343i	$0.283433\pi$
$824$	17.9361	−	17.9361i	0.624835	−	0.624835i
$825$	−5.19497	+	6.49355i	−0.180866	+	0.226076i
$826$	−10.3659	+	10.3659i	−0.360676	+	0.360676i
$827$	0.388028	−	0.197710i	0.0134931	−	0.00687506i	−0.447231	−	0.894419i	$-0.647590\pi$
$827$	0.388028	−	0.197710i	0.0134931	−	0.00687506i	0.460724	+	0.887543i	$0.347590\pi$
$828$	21.7885	−	15.8303i	0.757204	−	0.550141i
$829$	0.920661	−	1.26718i	0.0319759	−	0.0440110i	−0.792730	−	0.609573i	$-0.791341\pi$
$829$	0.920661	−	1.26718i	0.0319759	−	0.0440110i	0.824706	+	0.565562i	$0.191341\pi$
$830$	−47.0792	−	23.9881i	−1.63414	−	0.832638i
$831$	3.44074	+	10.5895i	0.119358	+	0.367346i
$832$	22.2936	+	41.3364i	0.772892	+	1.43308i
$833$	−3.83442	−	5.27763i	−0.132855	−	0.182859i
$834$	25.7703	−	13.1306i	0.892353	−	0.454677i
$835$		−	25.8854i		−	0.895802i
$836$	36.7912	−	16.6424i	1.27245	−	0.575589i
$837$	−0.280789	−	0.280789i	−0.00970549	−	0.00970549i
$838$	8.36128	+	16.4099i	0.288835	+	0.566872i
$839$	−5.30741	+	33.5097i	−0.183232	+	1.15688i	0.708967	+	0.705241i	$0.249161\pi$
$839$	−5.30741	+	33.5097i	−0.183232	+	1.15688i	−0.892199	+	0.451642i	$0.850839\pi$
$840$	8.00560	−	1.26796i	0.276219	−	0.0437489i
$841$	8.91928	+	27.4507i	0.307561	+	0.946577i
$842$	15.6092	+	48.0401i	0.537928	+	1.65557i
$843$	1.90090	+	12.0018i	0.0654703	+	0.413363i
$844$	−30.0649	+	21.8435i	−1.03488	+	0.751883i
$845$	−18.7030	−	8.45338i	−0.643402	−	0.290805i
$846$		−	25.6578i		−	0.882132i
$847$	13.0656	−	20.6510i	0.448941	−	0.709578i
$848$	6.33239			0.217455
$849$	−3.29029	+	10.1265i	−0.112922	+	0.347539i
$850$	−17.5495	−	2.77957i	−0.601943	−	0.0953384i
$851$	4.40403	+	27.8059i	0.150968	+	0.953176i
$852$	25.6048	+	13.0463i	0.877207	+	0.446959i
$853$	−7.68011	+	15.0731i	−0.262962	+	0.516092i	−0.984303	−	0.176488i	$-0.943526\pi$
$853$	−7.68011	+	15.0731i	−0.262962	+	0.516092i	0.721341	+	0.692580i	$0.243526\pi$
$854$	6.82186	−	9.38949i	0.233439	−	0.321302i
$855$	5.13179	−	3.72847i	0.175504	−	0.127511i
$856$	14.4937	+	28.4455i	0.495385	+	0.972247i
$857$	9.75563			0.333246			0.166623	−	0.986021i	$-0.446714\pi$
$857$	9.75563			0.333246			0.166623	+	0.986021i	$0.446714\pi$
$858$	−26.8134	−	0.618556i	−0.915394	−	0.0211171i
$859$	1.47741			0.0504085			0.0252043	−	0.999682i	$-0.491976\pi$
$859$	1.47741			0.0504085			0.0252043	+	0.999682i	$0.491976\pi$
$860$	−3.39500	−	6.66307i	−0.115769	−	0.227209i
$861$	−18.6789	+	13.5710i	−0.636576	+	0.462500i
$862$	−17.5721	+	24.1859i	−0.598507	+	0.823774i
$863$	7.34263	−	14.4107i	0.249946	−	0.490547i	−0.731609	−	0.681724i	$-0.761230\pi$
$863$	7.34263	−	14.4107i	0.249946	−	0.490547i	0.981556	+	0.191177i	$0.0612305\pi$
$864$	5.87203	+	2.99195i	0.199771	+	0.101788i
$865$	−4.04065	−	25.5117i	−0.137386	−	0.867423i
$866$	−16.2080	−	2.56710i	−0.550771	−	0.0872335i
$867$	−2.16833	+	6.67342i	−0.0736402	+	0.226641i
$868$	2.67329			0.0907375
$869$	3.54498	−	4.43112i	0.120255	−	0.150315i
$870$			1.30875i			0.0443709i
$871$	0.949842	+	40.6368i	0.0321842	+	1.37693i
$872$	36.6566	−	26.6326i	1.24135	−	0.901894i
$873$	1.27647	+	8.05930i	0.0432019	+	0.272766i
$874$	24.7479	+	76.1662i	0.837111	+	2.57636i
$875$	−8.13690	−	25.0428i	−0.275077	−	0.846601i
$876$	−14.2656	+	2.25946i	−0.481992	+	0.0763400i
$877$	−0.468847	+	2.96018i	−0.0158318	+	0.0999582i	−0.994339	−	0.106255i	$-0.966114\pi$
$877$	−0.468847	+	2.96018i	−0.0158318	+	0.0999582i	0.978507	+	0.206213i	$0.0661140\pi$
$878$	0.166310	+	0.326402i	0.00561270	+	0.0110155i
$879$	11.6461	+	11.6461i	0.392815	+	0.392815i
$880$	−2.27431	+	3.99369i	−0.0766671	+	0.134627i
$881$		−	4.00455i		−	0.134917i	−0.997722	−	0.0674584i	$-0.978511\pi$
$881$		−	4.00455i		−	0.134917i	0.997722	−	0.0674584i	$-0.0214890\pi$
$882$	−4.12598	+	2.10229i	−0.138929	+	0.0707879i
$883$	32.3654	+	44.5471i	1.08918	+	1.49913i	0.848993	+	0.528404i	$0.177209\pi$
$883$	32.3654	+	44.5471i	1.08918	+	1.49913i	0.240189	+	0.970726i	$0.422791\pi$
$884$	−16.3872	−	30.3848i	−0.551162	−	1.02195i
$885$	1.43542	+	4.41777i	0.0482511	+	0.148502i
$886$	19.0306	+	9.69656i	0.639344	+	0.325762i
$887$	4.89551	−	6.73810i	0.164375	−	0.226243i	−0.718882	−	0.695133i	$-0.755346\pi$
$887$	4.89551	−	6.73810i	0.164375	−	0.226243i	0.883257	+	0.468889i	$0.155346\pi$
$888$	5.92217	−	4.30271i	0.198735	−	0.144389i
$889$	−26.5233	+	13.5143i	−0.889562	+	0.453255i
$890$	12.0862	−	12.0862i	0.405130	−	0.405130i
$891$	−2.77080	+	1.82281i	−0.0928254	+	0.0610665i
$892$	14.6987	−	14.6987i	0.492150	−	0.492150i
$893$	43.7125	+	14.2030i	1.46278	+	0.475287i
$894$	−12.0221	−	16.5470i	−0.402080	−	0.553415i
$895$	18.7401	−	2.96813i	0.626411	−	0.0992138i
$896$	−33.8771	+	11.0073i	−1.13175	+	0.367729i
$897$	4.27187	−	31.7582i	0.142634	−	1.06037i
$898$	38.7574	−	53.3450i	1.29335	−	1.78014i
$899$	−0.0229591	+	0.144958i	−0.000765727	+	0.00483461i
$900$	−2.34794	+	7.22621i	−0.0782646	+	0.240874i
$901$	−22.7962			−0.759451
$902$	−3.58852	+	77.2258i	−0.119485	+	2.57134i
$903$	−2.45535	−	2.45535i	−0.0817088	−	0.0817088i
$904$	13.3099	−	6.78173i	0.442680	−	0.225557i
$905$	1.88030	−	11.8717i	0.0625032	−	0.394629i
$906$	15.8598	+	11.5228i	0.526908	+	0.382821i
$907$	−30.2520	+	9.82946i	−1.00450	+	0.326382i	−0.764662	−	0.644431i	$-0.777094\pi$
$907$	−30.2520	+	9.82946i	−1.00450	+	0.326382i	−0.239838	+	0.970813i	$0.577094\pi$
$908$	0.887370	−	1.74156i	0.0294484	−	0.0577958i
$909$	−7.56025	−	5.49285i	−0.250758	−	0.182186i
$910$	16.1310	−	23.3300i	0.534736	−	0.773381i
$911$	4.01510	−	12.3572i	0.133026	−	0.409413i	−0.862252	−	0.506480i	$-0.830946\pi$
$911$	4.01510	−	12.3572i	0.133026	−	0.409413i	0.995278	+	0.0970677i	$0.0309463\pi$
$912$	−2.49347	+	2.49347i	−0.0825670	+	0.0825670i
$913$	−36.5810	+	33.3323i	−1.21066	+	1.10314i
$914$		−	90.0566i		−	2.97881i
$915$	−1.66957	−	3.27672i	−0.0551944	−	0.108325i
$916$	−16.6454	−	2.63638i	−0.549980	−	0.0871083i
$917$	−46.3954	+	7.34831i	−1.53211	+	0.242663i
$918$	−6.31413	−	3.21721i	−0.208397	−	0.106184i
$919$	−37.6927	+	12.2471i	−1.24337	+	0.403995i	−0.855540	−	0.517737i	$-0.826775\pi$
$919$	−37.6927	+	12.2471i	−1.24337	+	0.403995i	−0.387828	+	0.921732i	$0.626775\pi$
$920$	26.2331	+	19.0595i	0.864881	+	0.628373i
$921$	25.2232	+	3.99497i	0.831134	+	0.131639i
$922$	25.7928	+	8.38059i	0.849441	+	0.276000i
$923$	32.2624	−	11.3228i	1.06193	−	0.372694i
$924$	4.51274	−	21.8671i	0.148458	−	0.719375i
$925$	−5.61613	−	5.61613i	−0.184657	−	0.184657i
$926$	25.9037	+	8.41662i	0.851248	+	0.276587i
$927$	−6.45178	−	8.88012i	−0.211904	−	0.291661i
$928$	−0.381036	−	2.40577i	−0.0125081	−	0.0789732i
$929$	2.20129	−	4.32028i	0.0722221	−	0.141744i	−0.852072	−	0.523424i	$-0.824654\pi$
$929$	2.20129	−	4.32028i	0.0722221	−	0.141744i	0.924294	+	0.381680i	$0.124654\pi$
$930$	0.638371	−	1.25287i	0.0209330	−	0.0410833i
$931$	−1.29765	−	8.19307i	−0.0425289	−	0.268517i
$932$	17.9951	+	24.7682i	0.589450	+	0.811309i
$933$	−18.0038	−	5.84978i	−0.589417	−	0.191513i
$934$	27.9927	+	27.9927i	0.915950	+	0.915950i
$935$	8.18737	−	14.3770i	0.267756	−	0.470178i
$936$	−7.86197	+	2.75923i	−0.256977	+	0.0901882i
$937$	24.2957	+	7.89417i	0.793707	+	0.257891i	0.677682	−	0.735355i	$-0.262985\pi$
$937$	24.2957	+	7.89417i	0.793707	+	0.257891i	0.116025	+	0.993246i	$0.462985\pi$
$938$	−55.4810	−	8.78733i	−1.81152	−	0.286917i
$939$	−1.30037	−	0.944772i	−0.0424359	−	0.0308315i
$940$	52.0536	−	16.9132i	1.69780	−	0.551649i
$941$	8.40436	+	4.28224i	0.273974	+	0.139597i	0.585580	−	0.810615i	$-0.300867\pi$
$941$	8.40436	+	4.28224i	0.273974	+	0.139597i	−0.311606	+	0.950212i	$0.600867\pi$
$942$	−8.09208	+	1.28166i	−0.263654	+	0.0417587i
$943$	−91.2291	−	14.4493i	−2.97083	−	0.470533i
$944$	−1.17233	−	2.30083i	−0.0381562	−	0.0748857i
$945$		−	3.50745i		−	0.114097i
$946$	−11.5558	+	1.28384i	−0.375712	+	0.0417412i
$947$	28.5749	−	28.5749i	0.928558	−	0.928558i	−0.0690549	−	0.997613i	$-0.521998\pi$
$947$	28.5749	−	28.5749i	0.928558	−	0.928558i	0.997613	+	0.0690549i	$0.0219984\pi$
$948$	1.60220	−	4.93108i	0.0520372	−	0.160154i
$949$	−9.77348	+	14.1352i	−0.317261	+	0.458849i
$950$	−18.2788	−	13.2803i	−0.593043	−	0.430871i
$951$	−12.0905	+	23.7290i	−0.392063	+	0.769466i
$952$	15.4270	−	5.01254i	0.499992	−	0.162457i
$953$	−25.8198	−	18.7592i	−0.836387	−	0.607671i	0.0849723	−	0.996383i	$-0.472920\pi$
$953$	−25.8198	−	18.7592i	−0.836387	−	0.607671i	−0.921359	+	0.388713i	$0.872920\pi$
$954$	−2.53139	+	15.9826i	−0.0819569	+	0.517456i
$955$	−14.4731	+	7.37440i	−0.468338	+	0.238630i
$956$	10.2586	+	10.2586i	0.331786	+	0.331786i
$957$	1.14697	+	0.432502i	0.0370764	+	0.0139808i
$958$	84.2041			2.72051
$959$	6.10059	−	18.7757i	0.196998	−	0.606299i
$960$	−3.21711	+	20.3120i	−0.103832	+	0.655568i
$961$	−18.1287	+	24.9520i	−0.584795	+	0.804902i
$962$	3.41491	−	25.3873i	0.110101	−	0.818520i
$963$	13.1388	−	4.26906i	0.423392	−	0.137569i
$964$	−32.5022	+	5.14784i	−1.04683	+	0.165801i
$965$	4.63302	+	6.37681i	0.149142	+	0.205277i
$966$	42.1155	+	13.6842i	1.35504	+	0.440280i
$967$	14.8876	−	14.8876i	0.478754	−	0.478754i	−0.425979	−	0.904733i	$-0.640070\pi$
$967$	14.8876	−	14.8876i	0.478754	−	0.478754i	0.904733	+	0.425979i	$0.140070\pi$
$968$	−16.2303	−	19.5641i	−0.521662	−	0.628814i
$969$	8.97632	−	8.97632i	0.288361	−	0.288361i
$970$	−25.7448	+	13.1176i	−0.826616	+	0.421182i
$971$	12.5949	−	9.15073i	0.404190	−	0.293661i	−0.367056	−	0.930199i	$-0.619634\pi$
$971$	12.5949	−	9.15073i	0.404190	−	0.293661i	0.771245	+	0.636538i	$0.219634\pi$
$972$	−1.78119	+	2.45160i	−0.0571318	+	0.0786352i
$973$	25.5258	+	13.0061i	0.818320	+	0.416955i
$974$	−23.6869	−	72.9008i	−0.758977	−	2.33589i
$975$	4.29132	+	7.95688i	0.137432	+	0.254824i
$976$	1.20167	+	1.65395i	0.0384645	+	0.0529418i
$977$	54.6838	−	27.8628i	1.74949	−	0.891409i	0.788402	−	0.615160i	$-0.210909\pi$
$977$	54.6838	−	27.8628i	1.74949	−	0.891409i	0.961086	−	0.276248i	$-0.0890912\pi$
$978$			7.23242i			0.231267i
$979$	−6.59808	−	14.5863i	−0.210875	−	0.466180i
$980$	−6.98485	−	6.98485i	−0.223123	−	0.223123i
$981$	−8.90141	−	17.4700i	−0.284200	−	0.557774i
$982$	−1.62557	+	10.2634i	−0.0518739	+	0.327519i
$983$	36.9192	−	5.84743i	1.17754	−	0.186504i	0.463169	−	0.886270i	$-0.346712\pi$
$983$	36.9192	−	5.84743i	1.17754	−	0.186504i	0.714372	+	0.699766i	$0.246712\pi$
$984$	7.42166	+	22.8415i	0.236594	+	0.728161i
$985$	−8.17216	−	25.1513i	−0.260387	−	0.801388i
$986$	0.409724	+	2.58690i	0.0130483	+	0.0823836i
$987$	20.5606	−	14.9382i	0.654452	−	0.475487i
$988$	−1.02579	−	43.8859i	−0.0326346	−	1.39620i
$989$		−	13.8914i		−	0.441721i
$990$	−9.17068	−	7.33672i	−0.291463	−	0.233176i
$991$	47.4272			1.50657			0.753287	−	0.657691i	$-0.228467\pi$
$991$	47.4272			1.50657			0.753287	+	0.657691i	$0.228467\pi$
$992$	−0.808696	+	2.48891i	−0.0256761	+	0.0790229i
$993$	3.16650	+	0.501524i	0.100486	+	0.0159154i
$994$	7.39161	+	46.6688i	0.234447	+	1.48024i
$995$	−23.3950	−	11.9203i	−0.741671	−	0.377900i
$996$	−20.5285	+	40.2894i	−0.650469	+	1.27662i
$997$	−15.8603	+	21.8299i	−0.502302	+	0.691359i	−0.982598	−	0.185747i	$-0.940529\pi$
$997$	−15.8603	+	21.8299i	−0.502302	+	0.691359i	0.480296	+	0.877107i	$0.340529\pi$
$998$	−61.4616	+	44.6545i	−1.94553	+	1.41351i
$999$	−1.43809	−	2.82242i	−0.0454992	−	0.0892973i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.a.112.2	✓	112
11.6	odd	10	inner	429.2.bj.a.424.2	yes	112
13.5	odd	4	inner	429.2.bj.a.343.2	yes	112
143.83	even	20	inner	429.2.bj.a.226.2	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.a.112.2	✓	112	1.1	even	1	trivial
429.2.bj.a.226.2	yes	112	143.83	even	20	inner
429.2.bj.a.343.2	yes	112	13.5	odd	4	inner
429.2.bj.a.424.2	yes	112	11.6	odd	10	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.01823 - 1.99839i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-1.78119 + 2.45160i) q^{4} +(-0.716768 + 1.40674i) q^{5} +(1.99839 + 1.01823i) q^{6} +(0.347529 + 2.19421i) q^{7} +(2.28246 + 0.361506i) q^{8} +(0.309017 - 0.951057i) q^{9} +O(q^{10})\)	\(q+(-1.01823 - 1.99839i) q^{2} +(-0.809017 + 0.587785i) q^{3} +(-1.78119 + 2.45160i) q^{4} +(-0.716768 + 1.40674i) q^{5} +(1.99839 + 1.01823i) q^{6} +(0.347529 + 2.19421i) q^{7} +(2.28246 + 0.361506i) q^{8} +(0.309017 - 0.951057i) q^{9} +3.54104 q^{10} +(1.17020 - 3.10332i) q^{11} -3.03035i q^{12} +(-2.60839 - 2.48924i) q^{13} +(4.03102 - 2.92871i) q^{14} +(-0.246982 - 1.55938i) q^{15} +(0.271220 + 0.834730i) q^{16} +(-0.976374 - 3.00497i) q^{17} +(-2.21523 + 0.350858i) q^{18} +(0.628510 - 3.96825i) q^{19} +(-2.17206 - 4.26290i) q^{20} +(-1.57088 - 1.57088i) q^{21} +(-7.39318 + 0.821375i) q^{22} -8.88746i q^{23} +(-2.05904 + 1.04913i) q^{24} +(1.47377 + 2.02848i) q^{25} +(-2.31852 + 7.74719i) q^{26} +(0.309017 + 0.951057i) q^{27} +(-5.99836 - 3.05631i) q^{28} +(0.217243 - 0.299009i) q^{29} +(-2.86476 + 2.08137i) q^{30} +(-0.353815 + 0.180278i) q^{31} +(4.66007 - 4.66007i) q^{32} +(0.877373 + 3.19847i) q^{33} +(-5.01092 + 5.01092i) q^{34} +(-3.33578 - 1.08386i) q^{35} +(1.78119 + 2.45160i) q^{36} +(-3.12867 + 0.495533i) q^{37} +(-8.57008 + 2.78459i) q^{38} +(3.57337 + 0.480663i) q^{39} +(-2.14454 + 2.95170i) q^{40} +(1.62580 - 10.2649i) q^{41} +(-1.53971 + 4.73875i) q^{42} +1.56304 q^{43} +(5.52376 + 8.39650i) q^{44} +(1.11639 + 1.11639i) q^{45} +(-17.7606 + 9.04948i) q^{46} +(-1.78958 + 11.2990i) q^{47} +(-0.710064 - 0.515891i) q^{48} +(1.96360 - 0.638013i) q^{49} +(2.55304 - 5.01063i) q^{50} +(2.55618 + 1.85717i) q^{51} +(10.7487 - 1.96092i) q^{52} +(2.22952 - 6.86175i) q^{53} +(1.58593 - 1.58593i) q^{54} +(3.52680 + 3.87054i) q^{55} +5.13383i q^{56} +(1.82401 + 3.57981i) q^{57} +(-0.818739 - 0.129675i) q^{58} +(-2.90592 + 0.460253i) q^{59} +(4.26290 + 2.17206i) q^{60} +(2.21530 - 0.719795i) q^{61} +(0.720530 + 0.523496i) q^{62} +(2.19421 + 0.347529i) q^{63} +(-12.3882 - 4.02517i) q^{64} +(5.37132 - 1.88511i) q^{65} +(5.49842 - 5.01011i) q^{66} +(-7.97171 - 7.97171i) q^{67} +(9.10611 + 2.95875i) q^{68} +(5.22392 + 7.19011i) q^{69} +(1.23062 + 7.76980i) q^{70} +(-4.30522 + 8.44947i) q^{71} +(1.04913 - 2.05904i) q^{72} +(-0.745610 - 4.70759i) q^{73} +(4.17597 + 5.74773i) q^{74} +(-2.38462 - 0.774809i) q^{75} +(8.60908 + 8.60908i) q^{76} +(7.21603 + 1.48918i) q^{77} +(-2.67796 - 7.63040i) q^{78} +(1.62723 + 0.528719i) q^{79} +(-1.36865 - 0.216772i) q^{80} +(-0.809017 - 0.587785i) q^{81} +(-22.1687 + 7.20306i) q^{82} +(-13.2953 - 6.77429i) q^{83} +(6.64923 - 1.05313i) q^{84} +(4.92704 + 0.780366i) q^{85} +(-1.59153 - 3.12355i) q^{86} +0.369595i q^{87} +(3.79281 - 6.66017i) q^{88} +(3.41318 - 3.41318i) q^{89} +(1.09424 - 3.36773i) q^{90} +(4.55543 - 6.58844i) q^{91} +(21.7885 + 15.8303i) q^{92} +(0.180278 - 0.353815i) q^{93} +(24.4020 - 7.92868i) q^{94} +(5.13179 + 3.72847i) q^{95} +(-1.03096 + 6.50920i) q^{96} +(-7.27040 + 3.70445i) q^{97} +(-3.27440 - 3.27440i) q^{98} +(-2.58982 - 2.07191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9	\( 112 q - 28 q^{3} - 6 q^{5} - 28 q^{9} - 10 q^{11} + 10 q^{13} - 60 q^{14} + 4 q^{15} + 80 q^{16} - 74 q^{20} + 8 q^{22} + 30 q^{24} + 38 q^{26} - 28 q^{27} - 20 q^{29} - 8 q^{31} + 20 q^{33} - 48 q^{34} + 20 q^{35} + 12 q^{37} - 10 q^{39} + 40 q^{40} - 110 q^{41} + 20 q^{42} - 36 q^{44} + 4 q^{45} - 20 q^{46} - 30 q^{47} - 20 q^{48} + 90 q^{50} - 10 q^{52} + 52 q^{53} - 64 q^{55} + 30 q^{57} + 24 q^{58} - 36 q^{59} - 74 q^{60} - 60 q^{61} + 48 q^{66} + 60 q^{67} + 60 q^{68} + 116 q^{70} + 20 q^{71} - 30 q^{72} + 70 q^{73} + 120 q^{74} - 52 q^{78} - 120 q^{79} + 8 q^{80} - 28 q^{81} + 30 q^{83} + 30 q^{84} - 40 q^{85} + 62 q^{86} + 48 q^{89} - 4 q^{91} - 144 q^{92} - 8 q^{93} - 20 q^{94} + 82 q^{97} - 10 q^{99}+O(q^{100}) \) 112 * q - 28 * q^3 - 6 * q^5 - 28 * q^9 - 10 * q^11 + 10 * q^13 - 60 * q^14 + 4 * q^15 + 80 * q^16 - 74 * q^20 + 8 * q^22 + 30 * q^24 + 38 * q^26 - 28 * q^27 - 20 * q^29 - 8 * q^31 + 20 * q^33 - 48 * q^34 + 20 * q^35 + 12 * q^37 - 10 * q^39 + 40 * q^40 - 110 * q^41 + 20 * q^42 - 36 * q^44 + 4 * q^45 - 20 * q^46 - 30 * q^47 - 20 * q^48 + 90 * q^50 - 10 * q^52 + 52 * q^53 - 64 * q^55 + 30 * q^57 + 24 * q^58 - 36 * q^59 - 74 * q^60 - 60 * q^61 + 48 * q^66 + 60 * q^67 + 60 * q^68 + 116 * q^70 + 20 * q^71 - 30 * q^72 + 70 * q^73 + 120 * q^74 - 52 * q^78 - 120 * q^79 + 8 * q^80 - 28 * q^81 + 30 * q^83 + 30 * q^84 - 40 * q^85 + 62 * q^86 + 48 * q^89 - 4 * q^91 - 144 * q^92 - 8 * q^93 - 20 * q^94 + 82 * q^97 - 10 * q^99

Introduction

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