LMFDB - Embedded newform 300.2.n.a.11.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(11,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 8]))

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

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

chi := DirichletCharacter("300.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			11.4
Character	$\chi$	$=$	300.11
Dual form			300.2.n.a.191.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39367 - 0.240196i) q^{2} +(-0.354401 + 1.69541i) q^{3} +(1.88461 + 0.669506i) q^{4} +(-0.834949 + 2.07433i) q^{5} +(0.901146 - 2.27770i) q^{6} +4.41884i q^{7} +(-2.46571 - 1.38574i) q^{8} +(-2.74880 - 1.20171i) q^{9} +O(q^{10})$	\(q+(-1.39367 - 0.240196i) q^{2} +(-0.354401 + 1.69541i) q^{3} +(1.88461 + 0.669506i) q^{4} +(-0.834949 + 2.07433i) q^{5} +(0.901146 - 2.27770i) q^{6} +4.41884i q^{7} +(-2.46571 - 1.38574i) q^{8} +(-2.74880 - 1.20171i) q^{9} +(1.66189 - 2.69038i) q^{10} +(1.61865 - 1.17602i) q^{11} +(-1.80299 + 2.95791i) q^{12} +(-3.38641 - 2.46037i) q^{13} +(1.06139 - 6.15839i) q^{14} +(-3.22093 - 2.15072i) q^{15} +(3.10352 + 2.52352i) q^{16} +(3.68125 - 1.19611i) q^{17} +(3.54227 + 2.33503i) q^{18} +(1.43828 - 0.467325i) q^{19} +(-2.96233 + 3.35031i) q^{20} +(-7.49172 - 1.56604i) q^{21} +(-2.53833 + 1.25018i) q^{22} +(-4.23280 + 3.07531i) q^{23} +(3.22325 - 3.68927i) q^{24} +(-3.60572 - 3.46393i) q^{25} +(4.12855 + 4.24233i) q^{26} +(3.01156 - 4.23445i) q^{27} +(-2.95844 + 8.32779i) q^{28} +(-0.261648 - 0.0850147i) q^{29} +(3.97231 + 3.77104i) q^{30} +(-7.27504 + 2.36380i) q^{31} +(-3.71914 - 4.26239i) q^{32} +(1.42017 + 3.16105i) q^{33} +(-5.41773 + 0.782757i) q^{34} +(-9.16614 - 3.68951i) q^{35} +(-4.37587 - 4.10509i) q^{36} +(6.29882 + 4.57636i) q^{37} +(-2.11673 + 0.305827i) q^{38} +(5.37147 - 4.86937i) q^{39} +(4.93324 - 3.95767i) q^{40} +(-1.40177 + 1.92938i) q^{41} +(10.0648 + 3.98202i) q^{42} +8.38550i q^{43} +(3.83787 - 1.13264i) q^{44} +(4.78785 - 4.69857i) q^{45} +(6.63779 - 3.26926i) q^{46} +(-0.337481 + 1.03866i) q^{47} +(-5.37828 + 4.36740i) q^{48} -12.5261 q^{49} +(4.19315 + 5.69364i) q^{50} +(0.723254 + 6.66511i) q^{51} +(-4.73483 - 6.90406i) q^{52} +(-2.15032 - 0.698680i) q^{53} +(-5.21420 + 5.17804i) q^{54} +(1.08796 + 4.33953i) q^{55} +(6.12338 - 10.8956i) q^{56} +(0.282579 + 2.60409i) q^{57} +(0.344230 + 0.181329i) q^{58} +(7.92936 + 5.76102i) q^{59} +(-4.63028 - 6.20971i) q^{60} +(11.9609 - 8.69011i) q^{61} +(10.7068 - 1.54692i) q^{62} +(5.31014 - 12.1465i) q^{63} +(4.15943 + 6.83368i) q^{64} +(7.93110 - 4.97025i) q^{65} +(-1.21998 - 4.74656i) q^{66} +(3.58710 - 1.16552i) q^{67} +(7.73852 + 0.210413i) q^{68} +(-3.71379 - 8.26621i) q^{69} +(11.8883 + 7.34361i) q^{70} +(-2.48340 + 7.64312i) q^{71} +(5.11248 + 6.77219i) q^{72} +(-3.17919 + 2.30981i) q^{73} +(-7.67923 - 7.89087i) q^{74} +(7.15063 - 4.88554i) q^{75} +(3.02348 + 0.0822095i) q^{76} +(5.19663 + 7.15254i) q^{77} +(-8.65563 + 5.49608i) q^{78} +(-3.47119 - 1.12786i) q^{79} +(-7.82590 + 4.33074i) q^{80} +(6.11181 + 6.60650i) q^{81} +(2.41703 - 2.35221i) q^{82} +(-3.08863 - 9.50583i) q^{83} +(-13.0705 - 7.96713i) q^{84} +(-0.592524 + 8.63482i) q^{85} +(2.01416 - 11.6866i) q^{86} +(0.236863 - 0.413471i) q^{87} +(-5.62077 + 0.656682i) q^{88} +(1.36249 + 1.87530i) q^{89} +(-7.80124 + 5.39821i) q^{90} +(10.8720 - 14.9640i) q^{91} +(-10.0361 + 2.96188i) q^{92} +(-1.42933 - 13.1719i) q^{93} +(0.719817 - 1.36648i) q^{94} +(-0.231502 + 3.37367i) q^{95} +(8.54455 - 4.79485i) q^{96} +(0.529975 - 1.63109i) q^{97} +(17.4572 + 3.00872i) q^{98} +(-5.86257 + 1.28750i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{4}{5}\right)$

Coefficient data

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

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

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

$2$	−1.39367	−	0.240196i	−0.985471	−	0.169844i
$2$	−1.39367	−	0.240196i	−0.985471	−	0.169844i
$3$	−0.354401	+	1.69541i	−0.204613	+	0.978843i
$3$	−0.354401	+	1.69541i	−0.204613	+	0.978843i
$4$	1.88461	+	0.669506i	0.942306	+	0.334753i
$5$	−0.834949	+	2.07433i	−0.373401	+	0.927670i
$5$	−0.834949	+	2.07433i	−0.373401	+	0.927670i
$6$	0.901146	−	2.27770i	0.367891	−	0.929869i
$7$			4.41884i			1.67016i	0.550126	+	0.835082i	$0.314580\pi$
$7$			4.41884i			1.67016i	−0.550126	+	0.835082i	$0.685420\pi$
$8$	−2.46571	−	1.38574i	−0.871759	−	0.489934i
$9$	−2.74880	−	1.20171i	−0.916267	−	0.400569i
$10$	1.66189	−	2.69038i	0.525535	−	0.850772i
$11$	1.61865	−	1.17602i	0.488041	−	0.354582i	−0.316390	−	0.948629i	$-0.602471\pi$
$11$	1.61865	−	1.17602i	0.488041	−	0.354582i	0.804430	+	0.594047i	$0.202471\pi$
$12$	−1.80299	+	2.95791i	−0.520479	+	0.853875i
$13$	−3.38641	−	2.46037i	−0.939220	−	0.682383i	0.00901283	−	0.999959i	$-0.497131\pi$
$13$	−3.38641	−	2.46037i	−0.939220	−	0.682383i	−0.948233	+	0.317576i	$0.897131\pi$
$14$	1.06139	−	6.15839i	0.283667	−	1.64590i
$15$	−3.22093	−	2.15072i	−0.831641	−	0.555314i
$16$	3.10352	+	2.52352i	0.775881	+	0.630879i
$17$	3.68125	−	1.19611i	0.892833	−	0.290099i	0.173557	−	0.984824i	$-0.444474\pi$
$17$	3.68125	−	1.19611i	0.892833	−	0.290099i	0.719276	+	0.694725i	$0.244474\pi$
$18$	3.54227	+	2.33503i	0.834920	+	0.550371i
$19$	1.43828	−	0.467325i	0.329964	−	0.107212i	−0.139350	−	0.990243i	$-0.544501\pi$
$19$	1.43828	−	0.467325i	0.329964	−	0.107212i	0.469314	+	0.883031i	$0.344501\pi$
$20$	−2.96233	+	3.35031i	−0.662398	+	0.749152i
$21$	−7.49172	−	1.56604i	−1.63483	−	0.341738i
$22$	−2.53833	+	1.25018i	−0.541174	+	0.266540i
$23$	−4.23280	+	3.07531i	−0.882600	+	0.641247i	−0.933938	−	0.357435i	$-0.883651\pi$
$23$	−4.23280	+	3.07531i	−0.882600	+	0.641247i	0.0513378	+	0.998681i	$0.483651\pi$
$24$	3.22325	−	3.68927i	0.657942	−	0.753068i
$25$	−3.60572	−	3.46393i	−0.721144	−	0.692785i
$26$	4.12855	+	4.24233i	0.809675	+	0.831990i
$27$	3.01156	−	4.23445i	0.579574	−	0.814919i
$28$	−2.95844	+	8.32779i	−0.559092	+	1.57381i
$29$	−0.261648	−	0.0850147i	−0.0485869	−	0.0157868i	0.284623	−	0.958640i	$-0.408132\pi$
$29$	−0.261648	−	0.0850147i	−0.0485869	−	0.0157868i	−0.333210	+	0.942853i	$0.608132\pi$
$30$	3.97231	+	3.77104i	0.725241	+	0.688495i
$31$	−7.27504	+	2.36380i	−1.30664	+	0.424552i	−0.877885	−	0.478871i	$-0.841046\pi$
$31$	−7.27504	+	2.36380i	−1.30664	+	0.424552i	−0.428751	+	0.903423i	$0.641046\pi$
$32$	−3.71914	−	4.26239i	−0.657457	−	0.753492i
$33$	1.42017	+	3.16105i	0.247221	+	0.550267i
$34$	−5.41773	+	0.782757i	−0.929133	+	0.134242i
$35$	−9.16614	−	3.68951i	−1.54936	−	0.623640i
$36$	−4.37587	−	4.10509i	−0.729312	−	0.684181i
$37$	6.29882	+	4.57636i	1.03552	+	0.752349i	0.969406	−	0.245463i	$-0.0789400\pi$
$37$	6.29882	+	4.57636i	1.03552	+	0.752349i	0.0661137	+	0.997812i	$0.478940\pi$
$38$	−2.11673	+	0.305827i	−0.343379	+	0.0496117i
$39$	5.37147	−	4.86937i	0.860123	−	0.779724i
$40$	4.93324	−	3.95767i	0.780013	−	0.625763i
$41$	−1.40177	+	1.92938i	−0.218920	+	0.301318i	−0.904325	−	0.426844i	$-0.859625\pi$
$41$	−1.40177	+	1.92938i	−0.218920	+	0.301318i	0.685405	+	0.728162i	$0.259625\pi$
$42$	10.0648	+	3.98202i	1.55303	+	0.614439i
$43$			8.38550i			1.27878i	0.768884	+	0.639388i	$0.220812\pi$
$43$			8.38550i			1.27878i	−0.768884	+	0.639388i	$0.779188\pi$
$44$	3.83787	−	1.13264i	0.578581	−	0.170752i
$45$	4.78785	−	4.69857i	0.713730	−	0.700421i
$46$	6.63779	−	3.26926i	0.978689	−	0.482025i
$47$	−0.337481	+	1.03866i	−0.0492266	+	0.151504i	−0.972648	−	0.232283i	$-0.925380\pi$
$47$	−0.337481	+	1.03866i	−0.0492266	+	0.151504i	0.923422	+	0.383787i	$0.125380\pi$
$48$	−5.37828	+	4.36740i	−0.776287	+	0.630379i
$49$	−12.5261			−1.78945
$50$	4.19315	+	5.69364i	0.593001	+	0.805202i
$51$	0.723254	+	6.66511i	0.101276	+	0.933302i
$52$	−4.73483	−	6.90406i	−0.656603	−	0.957420i
$53$	−2.15032	−	0.698680i	−0.295369	−	0.0959711i	0.157584	−	0.987506i	$-0.449629\pi$
$53$	−2.15032	−	0.698680i	−0.295369	−	0.0959711i	−0.452953	+	0.891534i	$0.649629\pi$
$54$	−5.21420	+	5.17804i	−0.709563	+	0.704642i
$55$	1.08796	+	4.33953i	0.146701	+	0.585142i
$56$	6.12338	−	10.8956i	0.818271	−	1.45598i
$57$	0.282579	+	2.60409i	0.0374285	+	0.344920i
$58$	0.344230	+	0.181329i	0.0451997	+	0.0238097i
$59$	7.92936	+	5.76102i	1.03231	+	0.750021i	0.968771	−	0.247958i	$-0.0797596\pi$
$59$	7.92936	+	5.76102i	1.03231	+	0.750021i	0.0635442	+	0.997979i	$0.479760\pi$
$60$	−4.63028	−	6.20971i	−0.597767	−	0.801670i
$61$	11.9609	−	8.69011i	1.53144	−	1.11266i	0.576006	−	0.817446i	$-0.304611\pi$
$61$	11.9609	−	8.69011i	1.53144	−	1.11266i	0.955433	−	0.295209i	$-0.0953894\pi$
$62$	10.7068	−	1.54692i	1.35976	−	0.196459i
$63$	5.31014	−	12.1465i	0.669015	−	1.53032i
$64$	4.15943	+	6.83368i	0.519929	+	0.854210i
$65$	7.93110	−	4.97025i	0.983732	−	0.616484i
$66$	−1.21998	−	4.74656i	−0.150169	−	0.584261i
$67$	3.58710	−	1.16552i	0.438234	−	0.142391i	−0.0815869	−	0.996666i	$-0.525999\pi$
$67$	3.58710	−	1.16552i	0.438234	−	0.142391i	0.519821	+	0.854276i	$0.325999\pi$
$68$	7.73852	+	0.210413i	0.938434	+	0.0255164i
$69$	−3.71379	−	8.26621i	−0.447088	−	0.995135i
$70$	11.8883	+	7.34361i	1.42093	+	0.877729i
$71$	−2.48340	+	7.64312i	−0.294725	+	0.907071i	0.688588	+	0.725153i	$0.258231\pi$
$71$	−2.48340	+	7.64312i	−0.294725	+	0.907071i	−0.983314	+	0.181919i	$0.941769\pi$
$72$	5.11248	+	6.77219i	0.602512	+	0.798110i
$73$	−3.17919	+	2.30981i	−0.372096	+	0.270343i	−0.758079	−	0.652162i	$-0.773862\pi$
$73$	−3.17919	+	2.30981i	−0.372096	+	0.270343i	0.385984	+	0.922506i	$0.373862\pi$
$74$	−7.67923	−	7.89087i	−0.892692	−	0.917295i
$75$	7.15063	−	4.88554i	0.825684	−	0.564133i
$76$	3.02348	+	0.0822095i	0.346817	+	0.00943008i
$77$	5.19663	+	7.15254i	0.592210	+	0.815108i
$78$	−8.65563	+	5.49608i	−0.980058	+	0.622309i
$79$	−3.47119	−	1.12786i	−0.390539	−	0.126894i	0.107164	−	0.994241i	$-0.465823\pi$
$79$	−3.47119	−	1.12786i	−0.390539	−	0.126894i	−0.497703	+	0.867348i	$0.665823\pi$
$80$	−7.82590	+	4.33074i	−0.874962	+	0.484191i
$81$	6.11181	+	6.60650i	0.679089	+	0.734056i
$82$	2.41703	−	2.35221i	0.266917	−	0.259758i
$83$	−3.08863	−	9.50583i	−0.339021	−	1.04340i	−0.964707	−	0.263325i	$-0.915181\pi$
$83$	−3.08863	−	9.50583i	−0.339021	−	1.04340i	0.625686	−	0.780075i	$-0.284819\pi$
$84$	−13.0705	−	7.96713i	−1.42611	−	0.869285i
$85$	−0.592524	+	8.63482i	−0.0642682	+	0.936578i
$86$	2.01416	−	11.6866i	0.217193	−	1.26020i
$87$	0.236863	−	0.413471i	0.0253944	−	0.0443287i
$88$	−5.62077	+	0.656682i	−0.599176	+	0.0700025i
$89$	1.36249	+	1.87530i	0.144423	+	0.198782i	0.875100	−	0.483942i	$-0.160795\pi$
$89$	1.36249	+	1.87530i	0.144423	+	0.198782i	−0.730677	+	0.682723i	$0.760795\pi$
$90$	−7.80124	+	5.39821i	−0.822323	+	0.569021i
$91$	10.8720	−	14.9640i	1.13969	−	1.56865i
$92$	−10.0361	+	2.96188i	−1.04634	+	0.308798i
$93$	−1.42933	−	13.1719i	−0.148214	−	1.36586i
$94$	0.719817	−	1.36648i	0.0742435	−	0.140942i
$95$	−0.231502	+	3.37367i	−0.0237516	+	0.346131i
$96$	8.54455	−	4.79485i	0.872075	−	0.489373i
$97$	0.529975	−	1.63109i	0.0538108	−	0.165613i	−0.920539	−	0.390650i	$-0.872250\pi$
$97$	0.529975	−	1.63109i	0.0538108	−	0.165613i	0.974350	+	0.225037i	$0.0722504\pi$
$98$	17.4572	+	3.00872i	1.76345	+	0.303927i
$99$	−5.86257	+	1.28750i	−0.589210	+	0.129398i
$100$	−4.47626	−	8.94221i	−0.447626	−	0.894221i
$101$			12.4702i			1.24084i	0.784272	+	0.620418i	$0.213037\pi$
$101$			12.4702i			1.24084i	−0.784272	+	0.620418i	$0.786963\pi$
$102$	0.592956	−	9.46266i	0.0587114	−	0.936943i
$103$	−6.28665	−	2.04266i	−0.619442	−	0.201269i	−0.0175495	−	0.999846i	$-0.505586\pi$
$103$	−6.28665	−	2.04266i	−0.619442	−	0.201269i	−0.601893	+	0.798577i	$0.705586\pi$
$104$	4.94045	+	10.7592i	0.484451	+	1.05503i
$105$	9.50370	−	14.2328i	0.927466	−	1.38898i
$106$	2.82900	+	1.49022i	0.274777	+	0.144743i
$107$	−1.14576			−0.110765			−0.0553826	−	0.998465i	$-0.517638\pi$
$107$	−1.14576			−0.110765			−0.0553826	+	0.998465i	$0.517638\pi$
$108$	8.51060	−	5.96403i	0.818933	−	0.573889i
$109$	9.55739	+	6.94385i	0.915432	+	0.665100i	0.942383	−	0.334536i	$-0.108580\pi$
$109$	9.55739	+	6.94385i	0.915432	+	0.665100i	−0.0269507	+	0.999637i	$0.508580\pi$
$110$	−0.473919	−	6.30918i	−0.0451864	−	0.601557i
$111$	−9.99109	+	9.05719i	−0.948313	+	0.859670i
$112$	−11.1510	+	13.7140i	−1.05367	+	1.29585i
$113$	0.405139	−	0.557627i	0.0381123	−	0.0524571i	−0.789536	−	0.613705i	$-0.789679\pi$
$113$	0.405139	−	0.557627i	0.0381123	−	0.0524571i	0.827648	+	0.561248i	$0.189679\pi$
$114$	0.231671	−	3.69710i	0.0216980	−	0.346266i
$115$	−2.84505	−	11.3480i	−0.265302	−	1.05820i
$116$	−0.436188	−	0.335395i	−0.0404990	−	0.0311406i
$117$	6.35191	+	10.8325i	0.587235	+	1.00147i
$118$	−9.66711	−	9.93354i	−0.889930	−	0.914456i
$119$	5.28541	+	16.2668i	0.484513	+	1.49118i
$120$	4.96152	+	9.76644i	0.452923	+	0.891550i
$121$	−2.16218	+	6.65451i	−0.196562	+	0.604955i
$122$	−18.7569	+	9.23816i	−1.69817	+	0.836383i
$123$	−2.77428	−	3.06035i	−0.250149	−	0.275942i
$124$	−15.2932	−	0.415828i	−1.37337	−	0.0373425i
$125$	10.1959	−	4.58726i	0.911952	−	0.410297i
$126$	−10.3181	+	15.6527i	−0.919210	+	1.39445i
$127$	1.12441	+	1.54762i	0.0997754	+	0.137329i	0.855986	−	0.517000i	$-0.172951\pi$
$127$	1.12441	+	1.54762i	0.0997754	+	0.137329i	−0.756210	+	0.654329i	$0.772951\pi$
$128$	−4.15544	−	10.5229i	−0.367292	−	0.930106i
$129$	−14.2168	−	2.97183i	−1.25172	−	0.261655i
$130$	−12.2471	+	5.02186i	−1.07415	+	0.440446i
$131$	1.98783	+	6.11790i	0.173677	+	0.534523i	0.999571	−	0.0293031i	$-0.00932879\pi$
$131$	1.98783	+	6.11790i	0.173677	+	0.534523i	−0.825893	+	0.563826i	$0.809329\pi$
$132$	0.560140	+	6.90816i	0.0487539	+	0.601278i
$133$	2.06504	+	6.35553i	0.179061	+	0.551094i
$134$	−5.27917	+	0.762738i	−0.456051	+	0.0658905i
$135$	6.26916	+	9.78252i	0.539563	+	0.841945i
$136$	−10.7344	−	2.15201i	−0.920465	−	0.184533i
$137$	−7.58859	+	10.4448i	−0.648337	+	0.892360i	−0.999026	−	0.0441326i	$-0.985948\pi$
$137$	−7.58859	+	10.4448i	−0.648337	+	0.892360i	0.350689	+	0.936492i	$0.385948\pi$
$138$	3.19028	+	12.4124i	0.271574	+	1.05661i
$139$	3.29992	+	4.54195i	0.279895	+	0.385243i	0.925699	−	0.378260i	$-0.123478\pi$
$139$	3.29992	+	4.54195i	0.279895	+	0.385243i	−0.645804	+	0.763503i	$0.723478\pi$
$140$	−14.8045	−	13.0901i	−1.25121	−	1.10631i
$141$	−1.64135	−	0.940268i	−0.138226	−	0.0791849i
$142$	5.29688	−	10.0555i	0.444504	−	0.843835i
$143$	−8.37483			−0.700338
$144$	−5.49844	−	10.6662i	−0.458204	−	0.888847i
$145$	0.394812	−	0.471763i	0.0327873	−	0.0391778i
$146$	4.98553	−	2.45548i	0.412606	−	0.203217i
$147$	4.43927	−	21.2369i	0.366145	−	1.75159i
$148$	8.80693	+	12.8418i	0.723925	+	1.05559i
$149$			22.3461i			1.83066i	0.402700	+	0.915332i	$0.368072\pi$
$149$			22.3461i			1.83066i	−0.402700	+	0.915332i	$0.631928\pi$
$150$	−11.1391	+	5.09126i	−0.909502	+	0.415700i
$151$			1.39948i			0.113888i	0.998377	+	0.0569441i	$0.0181357\pi$
$151$			1.39948i			0.113888i	−0.998377	+	0.0569441i	$0.981864\pi$
$152$	−4.19397	−	0.840799i	−0.340176	−	0.0681978i
$153$	−11.5564	−	1.13591i	−0.934278	−	0.0918329i
$154$	−5.52435	−	11.2165i	−0.445165	−	0.903848i
$155$	1.17097	−	17.0645i	0.0940547	−	1.37066i
$156$	13.3832	−	5.58065i	1.07151	−	0.446810i
$157$	4.92546			0.393095			0.196547	−	0.980494i	$-0.437027\pi$
$157$	4.92546			0.393095			0.196547	+	0.980494i	$0.437027\pi$
$158$	4.56677	+	2.40562i	0.363313	+	0.191381i
$159$	1.94662	−	3.39805i	0.154377	−	0.269483i
$160$	11.9469	−	4.15585i	0.944487	−	0.328549i
$161$	−13.5893	−	18.7041i	−1.07099	−	1.47409i
$162$	−6.93096	−	10.6753i	−0.544548	−	0.838730i
$163$	−0.892518	+	1.22845i	−0.0699074	+	0.0962193i	−0.842539	−	0.538635i	$-0.818940\pi$
$163$	−0.892518	+	1.22845i	−0.0699074	+	0.0962193i	0.772632	+	0.634855i	$0.218940\pi$
$164$	−3.93353	+	2.69763i	−0.307157	+	0.210649i
$165$	−7.74284	+	0.306604i	−0.602779	+	0.0238691i
$166$	2.02126	+	13.9898i	0.156880	+	1.08582i
$167$	−0.140735	−	0.433137i	−0.0108904	−	0.0335172i	0.945464	−	0.325728i	$-0.105609\pi$
$167$	−0.140735	−	0.433137i	−0.0108904	−	0.0335172i	−0.956354	+	0.292210i	$0.905609\pi$
$168$	16.3023	+	14.2430i	1.25775	+	1.09887i
$169$	1.39711	+	4.29987i	0.107470	+	0.330759i
$170$	2.89983	−	11.8917i	0.222407	−	0.912055i
$171$	−4.51513	−	0.443805i	−0.345281	−	0.0339386i
$172$	−5.61414	+	15.8034i	−0.428074	+	1.20500i
$173$	−7.40646	−	10.1941i	−0.563103	−	0.775044i	0.428614	−	0.903488i	$-0.359002\pi$
$173$	−7.40646	−	10.1941i	−0.563103	−	0.775044i	−0.991717	+	0.128443i	$0.959002\pi$
$174$	−0.429422	+	0.519347i	−0.0325544	+	0.0393716i
$175$	15.3065	−	15.9331i	1.15706	−	1.20443i
$176$	7.99121	+	0.434890i	0.602360	+	0.0327811i
$177$	−12.5774	+	11.4018i	−0.945378	+	0.857010i
$178$	−1.44841	−	2.94081i	−0.108563	−	0.220423i
$179$	4.99154	−	15.3624i	0.373085	−	1.14824i	−0.571676	−	0.820480i	$-0.693707\pi$
$179$	4.99154	−	15.3624i	0.373085	−	1.14824i	0.944761	−	0.327759i	$-0.106293\pi$
$180$	12.1690	−	5.64948i	0.907020	−	0.421087i
$181$	−4.84939	−	14.9249i	−0.360452	−	1.10936i	−0.952780	−	0.303661i	$-0.901791\pi$
$181$	−4.84939	−	14.9249i	−0.360452	−	1.10936i	0.592328	−	0.805697i	$-0.298209\pi$
$182$	−18.7462	+	18.2434i	−1.38956	+	1.35229i
$183$	10.4943	+	23.3584i	0.775762	+	1.72670i
$184$	14.6984	−	1.71724i	1.08358	−	0.126597i
$185$	−14.7521	+	9.24483i	−1.08460	+	0.679693i
$186$	−1.17183	+	18.7005i	−0.0859225	+	1.37119i
$187$	4.55200	−	6.26528i	0.332875	−	0.458163i
$188$	−1.33141	+	1.73152i	−0.0971030	+	0.126284i
$189$	18.7113	+	13.3076i	1.36105	+	0.967984i
$190$	1.13298	−	4.64616i	0.0821948	−	0.337068i
$191$	10.5865	+	7.69152i	0.766010	+	0.556539i	0.900748	−	0.434342i	$-0.143019\pi$
$191$	10.5865	+	7.69152i	0.766010	+	0.556539i	−0.134737	+	0.990881i	$0.543019\pi$
$192$	−13.0600	+	4.63006i	−0.942521	+	0.334146i
$193$	22.4138			1.61338			0.806690	−	0.590975i	$-0.201257\pi$
$193$	22.4138			1.61338			0.806690	+	0.590975i	$0.201257\pi$
$194$	−1.13039	+	2.14590i	−0.0811573	+	0.154067i
$195$	5.61581	+	15.2079i	0.402156	+	1.08906i
$196$	−23.6069	−	8.38631i	−1.68621	−	0.599022i
$197$	6.92170	+	2.24900i	0.493151	+	0.160234i	0.545026	−	0.838419i	$-0.316520\pi$
$197$	6.92170	+	2.24900i	0.493151	+	0.160234i	−0.0518751	+	0.998654i	$0.516520\pi$
$198$	8.47971	−	0.386175i	0.602627	−	0.0274443i
$199$		−	11.4436i		−	0.811217i	−0.914047	−	0.405609i	$-0.867060\pi$
$199$		−	11.4436i		−	0.811217i	0.914047	−	0.405609i	$-0.132940\pi$
$200$	4.09054	+	13.5376i	0.289245	+	0.957255i
$201$	0.704757	+	6.49464i	0.0497097	+	0.458097i
$202$	2.99530	−	17.3794i	0.210749	−	1.22281i
$203$	0.375666	−	1.15618i	0.0263666	−	0.0811480i
$204$	−3.09927	+	13.0454i	−0.216993	+	0.913358i
$205$	−2.83176	−	4.51868i	−0.197779	−	0.315598i
$206$	8.27086	+	4.35681i	0.576258	+	0.303553i
$207$	15.3307	−	3.36683i	1.06556	−	0.234011i
$208$	−4.30101	−	16.1815i	−0.298222	−	1.12198i
$209$	1.77849	−	2.44788i	0.123020	−	0.169323i
$210$	−16.6636	+	17.5530i	−1.14990	+	1.21127i
$211$	−4.85837	−	6.68698i	−0.334464	−	0.460351i	0.608350	−	0.793669i	$-0.291832\pi$
$211$	−4.85837	−	6.68698i	−0.334464	−	0.460351i	−0.942814	+	0.333318i	$0.891832\pi$
$212$	−3.58474	−	2.75639i	−0.246201	−	0.189310i
$213$	−12.0781	−	6.91910i	−0.827575	−	0.474089i
$214$	1.59681	+	0.275208i	0.109156	+	0.0188128i
$215$	−17.3943	−	7.00147i	−1.18628	−	0.477496i
$216$	−13.2935	+	6.26766i	−0.904506	+	0.426460i
$217$	−10.4453	−	32.1472i	−0.709071	−	2.18230i
$218$	−11.6519	−	11.9731i	−0.789168	−	0.810918i
$219$	−2.78937	−	6.20861i	−0.188488	−	0.419539i
$220$	−0.854954	+	8.90672i	−0.0576410	+	0.600491i
$221$	−15.4091	−	5.00671i	−1.03653	−	0.336788i
$222$	16.0998	−	10.2229i	1.08054	−	0.686115i
$223$	5.09072	+	7.00678i	0.340900	+	0.469209i	0.944704	−	0.327924i	$-0.106349\pi$
$223$	5.09072	+	7.00678i	0.340900	+	0.469209i	−0.603804	+	0.797133i	$0.706349\pi$
$224$	18.8348	−	16.4343i	1.25845	−	1.09806i
$225$	5.74878	+	13.8547i	0.383252	+	0.923644i
$226$	−0.698569	+	0.679833i	−0.0464681	+	0.0452218i
$227$	2.58355	−	1.87706i	0.171476	−	0.124585i	−0.498737	−	0.866753i	$-0.666203\pi$
$227$	2.58355	−	1.87706i	0.171476	−	0.124585i	0.670213	+	0.742169i	$0.266203\pi$
$228$	−1.21090	+	5.09688i	−0.0801939	+	0.337549i
$229$	−2.39621	+	7.37478i	−0.158346	+	0.487339i	−0.998485	−	0.0550328i	$-0.982474\pi$
$229$	−2.39621	+	7.37478i	−0.158346	+	0.487339i	0.840138	+	0.542372i	$0.182474\pi$
$230$	1.23931	+	16.4987i	0.0817176	+	1.08789i
$231$	−13.9681	+	6.27552i	−0.919037	+	0.412899i
$232$	0.527340	+	0.572199i	0.0346215	+	0.0375667i
$233$	22.1664	−	7.20232i	1.45217	−	0.471839i	0.526503	−	0.850173i	$-0.323503\pi$
$233$	22.1664	−	7.20232i	1.45217	−	0.471839i	0.925669	+	0.378334i	$0.123503\pi$
$234$	−6.25052	−	16.6226i	−0.408609	−	1.08666i
$235$	−1.87275	−	1.56728i	−0.122164	−	0.102238i
$236$	11.0867	+	16.1660i	0.721685	+	1.05232i
$237$	3.14237	−	5.48536i	0.204119	−	0.356312i
$238$	−3.45888	−	23.9401i	−0.224206	−	1.55180i
$239$	−17.8688	+	12.9824i	−1.15584	+	0.839764i	−0.989246	−	0.146262i	$-0.953276\pi$
$239$	−17.8688	+	12.9824i	−1.15584	+	0.839764i	−0.166591	+	0.986026i	$0.553276\pi$
$240$	−4.56885	−	14.8029i	−0.294918	−	0.955523i
$241$	−4.36957	−	3.17468i	−0.281469	−	0.204499i	0.438089	−	0.898932i	$-0.355656\pi$
$241$	−4.36957	−	3.17468i	−0.281469	−	0.204499i	−0.719558	+	0.694432i	$0.755656\pi$
$242$	4.61174	−	8.75482i	0.296454	−	0.562781i
$243$	−13.3667	+	8.02064i	−0.857476	+	0.514524i
$244$	28.3598	−	8.36959i	1.81555	−	0.535808i
$245$	10.4587	−	25.9834i	0.668181	−	1.66002i
$246$	3.13134	+	4.93147i	0.199647	+	0.314419i
$247$	−6.02039	−	1.95614i	−0.383068	−	0.124466i
$248$	21.2138	+	4.25289i	1.34707	+	0.270059i
$249$	17.2108	−	1.86761i	1.09069	−	0.118355i
$250$	−15.3116	+	3.94409i	−0.968389	+	0.249446i
$251$	2.72571			0.172045			0.0860225	−	0.996293i	$-0.472584\pi$
$251$	2.72571			0.172045			0.0860225	+	0.996293i	$0.472584\pi$
$252$	18.1397	−	19.3363i	1.14269	−	1.21807i
$253$	−3.23480	+	9.95569i	−0.203370	+	0.625909i
$254$	−1.19532	−	2.42695i	−0.0750012	−	0.152280i
$255$	−14.4295	−	4.06476i	−0.903612	−	0.254545i
$256$	3.26372	+	15.6636i	0.203983	+	0.978974i
$257$		−	12.5443i		−	0.782495i	−0.920285	−	0.391247i	$-0.872044\pi$
$257$		−	12.5443i		−	0.782495i	0.920285	−	0.391247i	$-0.127956\pi$
$258$	19.0997	+	7.55656i	1.18909	+	0.470451i
$259$	−20.2222	+	27.8335i	−1.25655	+	1.72949i
$260$	18.2747	−	4.05708i	1.13335	−	0.251609i
$261$	0.617056	+	0.548113i	0.0381948	+	0.0339273i
$262$	−1.30087	−	9.00377i	−0.0803681	−	0.556255i
$263$	3.83546	+	2.78663i	0.236505	+	0.171831i	0.699725	−	0.714413i	$-0.253306\pi$
$263$	3.83546	+	2.78663i	0.236505	+	0.171831i	−0.463220	+	0.886243i	$0.653306\pi$
$264$	0.878663	−	9.76221i	0.0540779	−	0.600823i
$265$	3.24470	−	3.87711i	0.199320	−	0.238169i
$266$	−1.35140	−	9.35350i	−0.0828596	−	0.573500i
$267$	−3.66226	+	1.64536i	−0.224127	+	0.100694i
$268$	7.54061	+	0.205032i	0.460616	+	0.0125243i
$269$	−10.0185	+	3.25520i	−0.610838	+	0.198473i	−0.598068	−	0.801445i	$-0.704065\pi$
$269$	−10.0185	+	3.25520i	−0.610838	+	0.198473i	−0.0127695	+	0.999918i	$0.504065\pi$
$270$	−6.38739	−	15.1394i	−0.388724	−	0.921354i
$271$	25.9762	+	8.44018i	1.57794	+	0.512704i	0.961525	−	0.274716i	$-0.0885840\pi$
$271$	25.9762	+	8.44018i	1.57794	+	0.512704i	0.616416	+	0.787421i	$0.288584\pi$
$272$	14.4432	+	5.57753i	0.875750	+	0.338188i
$273$	21.5170	+	23.7356i	1.30227	+	1.43655i
$274$	13.0848	−	12.7338i	0.790479	−	0.769278i
$275$	−9.91002	−	1.36649i	−0.597597	−	0.0824025i
$276$	−1.46478	−	18.0650i	−0.0881694	−	1.08739i
$277$	−12.9594	+	9.41552i	−0.778652	+	0.565724i	−0.904574	−	0.426316i	$-0.859811\pi$
$277$	−12.9594	+	9.41552i	−0.778652	+	0.565724i	0.125922	+	0.992040i	$0.459811\pi$
$278$	−3.50803	−	7.12259i	−0.210398	−	0.427184i
$279$	22.8382	+	2.24484i	1.36729	+	0.134395i
$280$	17.4883	+	21.7992i	1.04513	+	1.30275i
$281$	28.6844	−	9.32012i	1.71117	−	0.555991i	0.720639	−	0.693310i	$-0.243849\pi$
$281$	28.6844	−	9.32012i	1.71117	−	0.555991i	0.990527	+	0.137319i	$0.0438485\pi$
$282$	2.06164	+	1.70466i	0.122769	+	0.101511i
$283$	−17.3580	+	5.63997i	−1.03183	+	0.335261i	−0.775513	−	0.631332i	$-0.782509\pi$
$283$	−17.3580	+	5.63997i	−1.03183	+	0.335261i	−0.256315	+	0.966593i	$0.582509\pi$
$284$	−9.79736	+	12.7417i	−0.581366	+	0.756078i
$285$	−5.63769	−	1.58812i	−0.333948	−	0.0940721i
$286$	11.6717	+	2.01160i	0.690163	+	0.118948i
$287$	−8.52560	−	6.19421i	−0.503250	−	0.365633i
$288$	5.10102	+	16.1858i	0.300581	+	0.953756i
$289$	−1.63240	+	1.18601i	−0.0960234	+	0.0697651i
$290$	−0.663552	+	0.562648i	−0.0389651	+	0.0330398i
$291$	2.57754	+	1.47658i	0.151098	+	0.0865588i
$292$	−7.53797	+	2.22462i	−0.441126	+	0.130186i
$293$		−	13.9900i		−	0.817307i	−0.912690	−	0.408654i	$-0.865998\pi$
$293$		−	13.9900i		−	0.817307i	0.912690	−	0.408654i	$-0.134002\pi$
$294$	−11.2879	+	28.5308i	−0.658322	+	1.66395i
$295$	−18.5709	+	11.6380i	−1.08124	+	0.677590i
$296$	−9.18939	−	20.0125i	−0.534122	−	1.16320i
$297$	−0.105129	−	10.3957i	−0.00610022	−	0.603221i
$298$	5.36744	−	31.1430i	0.310928	−	1.80407i
$299$	21.9004			1.26653
$300$	16.7471	−	4.41996i	0.966892	−	0.255186i
$301$	−37.0542			−2.13577
$302$	0.336150	−	1.95041i	0.0193433	−	0.112234i
$303$	−21.1421	−	4.41946i	−1.21458	−	0.253891i
$304$	5.64304	+	2.17917i	0.323651	+	0.124984i
$305$	8.03944	+	32.0667i	0.460337	+	1.83614i
$306$	15.8329	+	4.35887i	0.905106	+	0.249180i
$307$			1.60974i			0.0918725i	0.998944	+	0.0459363i	$0.0146271\pi$
$307$			1.60974i			0.0918725i	−0.998944	+	0.0459363i	$0.985373\pi$
$308$	5.00495	+	16.9589i	0.285184	+	0.966325i
$309$	5.69113	−	9.93450i	0.323757	−	0.565154i
$310$	−5.73077	+	23.5010i	−0.325486	+	1.33477i
$311$	16.2398	−	11.7989i	0.920876	−	0.669056i	−0.0228657	−	0.999739i	$-0.507279\pi$
$311$	16.2398	−	11.7989i	0.920876	−	0.669056i	0.943742	+	0.330683i	$0.107279\pi$
$312$	−19.9922	+	4.56298i	−1.13183	+	0.258328i
$313$	1.20979	+	0.878967i	0.0683816	+	0.0496821i	0.621451	−	0.783453i	$-0.286544\pi$
$313$	1.20979	+	0.878967i	0.0683816	+	0.0496821i	−0.553069	+	0.833135i	$0.686544\pi$
$314$	−6.86445	−	1.18308i	−0.387383	−	0.0667648i
$315$	20.7622	+	21.1567i	1.16982	+	1.19205i
$316$	−5.78673	−	4.44955i	−0.325529	−	0.250307i
$317$	14.5778	−	4.73660i	0.818769	−	0.266034i	0.130462	−	0.991453i	$-0.458354\pi$
$317$	14.5778	−	4.73660i	0.818769	−	0.266034i	0.688307	+	0.725419i	$0.258354\pi$
$318$	−3.52914	+	4.26817i	−0.197904	+	0.239347i
$319$	−0.523495	+	0.170094i	−0.0293101	+	0.00952343i
$320$	−17.6482	+	2.92227i	−0.986567	+	0.163360i
$321$	0.406060	−	1.94253i	0.0226640	−	0.108422i
$322$	14.4463	+	29.3313i	0.805061	+	1.63457i
$323$	4.73569	−	3.44068i	0.263501	−	0.191445i
$324$	7.09529	+	16.5426i	0.394183	+	0.919032i
$325$	3.68790	+	20.6017i	0.204568	+	1.14277i
$326$	1.53894	−	1.49766i	0.0852340	−	0.0829480i
$327$	−15.1598	+	13.7427i	−0.838338	+	0.759976i
$328$	6.12998	−	2.81478i	0.338472	−	0.155420i
$329$	−4.58967	−	1.49127i	−0.253036	−	0.0822165i
$330$	10.8646	+	1.43249i	0.598075	+	0.0788562i
$331$	14.2822	−	4.64055i	0.785018	−	0.255068i	0.111037	−	0.993816i	$-0.464583\pi$
$331$	14.2822	−	4.64055i	0.785018	−	0.255068i	0.673981	+	0.738748i	$0.264583\pi$
$332$	0.543336	−	19.9827i	0.0298194	−	1.09669i
$333$	−11.8148	−	20.1488i	−0.647445	−	1.10415i
$334$	0.0920996	+	0.637452i	0.00503946	+	0.0348798i
$335$	−0.577370	+	8.41398i	−0.0315451	+	0.459705i
$336$	−19.2988	−	23.7657i	−1.05284	−	1.29653i
$337$	5.03066	+	3.65499i	0.274038	+	0.199100i	0.716313	−	0.697779i	$-0.245828\pi$
$337$	5.03066	+	3.65499i	0.274038	+	0.199100i	−0.442275	+	0.896880i	$0.645828\pi$
$338$	−0.914298	−	6.32817i	−0.0497313	−	0.344207i
$339$	0.801821	+	0.884499i	0.0435490	+	0.0480394i
$340$	−6.89774	+	15.8766i	−0.374082	+	0.861029i
$341$	−8.99586	+	12.3817i	−0.487153	+	0.670509i
$342$	6.18599	+	1.70303i	0.334500	+	0.0920895i
$343$		−	24.4191i		−	1.31850i
$344$	11.6202	−	20.6762i	0.626517	−	1.11479i
$345$	20.2477	−	0.801776i	1.09010	−	0.0431662i
$346$	7.87355	+	15.9862i	0.423285	+	0.859423i
$347$	−3.28795	+	10.1193i	−0.176507	+	0.543232i	−0.999699	−	0.0245309i	$-0.992191\pi$
$347$	−3.28795	+	10.1193i	−0.176507	+	0.543232i	0.823192	+	0.567762i	$0.192191\pi$
$348$	0.723215	−	0.620651i	0.0387684	−	0.0332704i
$349$	10.2789			0.550219			0.275110	−	0.961413i	$-0.411286\pi$
$349$	10.2789			0.550219			0.275110	+	0.961413i	$0.411286\pi$
$350$	−25.1593	+	18.5288i	−1.34482	+	0.990408i
$351$	−20.6166	+	6.93002i	−1.10044	+	0.369897i
$352$	−11.0326	−	2.52555i	−0.588041	−	0.134612i
$353$	−19.9796	−	6.49175i	−1.06340	−	0.345521i	−0.275489	−	0.961304i	$-0.588840\pi$
$353$	−19.9796	−	6.49175i	−1.06340	−	0.345521i	−0.787916	+	0.615783i	$0.788840\pi$
$354$	20.2674	−	12.8692i	1.07720	−	0.683991i
$355$	−13.7809	−	11.5330i	−0.731412	−	0.612109i
$356$	1.31223	+	4.44641i	0.0695482	+	0.235659i
$357$	−29.4520	+	3.19594i	−1.55877	+	0.169147i
$358$	−10.6465	+	20.2111i	−0.562686	+	1.06819i
$359$	21.8898	+	15.9039i	1.15530	+	0.839375i	0.989177	−	0.146730i	$-0.0468749\pi$
$359$	21.8898	+	15.9039i	1.15530	+	0.839375i	0.166124	+	0.986105i	$0.446875\pi$
$360$	−18.3164	+	4.95056i	−0.965361	+	0.260917i
$361$	−13.5211	+	9.82363i	−0.711635	+	0.517033i
$362$	3.17354	+	21.9651i	0.166797	+	1.15446i
$363$	−10.5158	−	6.02414i	−0.551937	−	0.316185i
$364$	30.5079	−	20.9224i	1.59905	−	1.09663i
$365$	−2.13687	−	8.52327i	−0.111849	−	0.446128i
$366$	−9.01498	−	35.0745i	−0.471221	−	1.83337i
$367$	−23.9133	+	7.76990i	−1.24826	+	0.405585i	−0.857298	−	0.514820i	$-0.827859\pi$
$367$	−23.9133	+	7.76990i	−1.24826	+	0.405585i	−0.390965	+	0.920405i	$0.627859\pi$
$368$	−20.8972	−	1.13725i	−1.08934	−	0.0592831i
$369$	6.17174	−	3.61895i	0.321288	−	0.188395i
$370$	22.7801	−	9.34081i	1.18428	−	0.485606i
$371$	3.08735	−	9.50190i	0.160287	−	0.493314i
$372$	6.12492	−	25.7808i	0.317562	−	1.33667i
$373$	26.6273	−	19.3458i	1.37871	−	1.00169i	0.381708	−	0.924283i	$-0.375336\pi$
$373$	26.6273	−	19.3458i	1.37871	−	1.00169i	0.997000	−	0.0774069i	$-0.0246641\pi$
$374$	−7.84886	+	7.63835i	−0.405855	+	0.394969i
$375$	4.16382	+	18.9120i	0.215019	+	0.976610i
$376$	2.27144	−	2.09337i	0.117141	−	0.107957i
$377$	0.676880	+	0.931645i	0.0348611	+	0.0479822i
$378$	−22.8809	−	23.0407i	−1.17687	−	1.18509i
$379$	−29.2235	−	9.49529i	−1.50111	−	0.487740i	−0.560769	−	0.827973i	$-0.689494\pi$
$379$	−29.2235	−	9.49529i	−1.50111	−	0.487740i	−0.940341	+	0.340232i	$0.889494\pi$
$380$	−2.69498	+	6.20306i	−0.138250	+	0.318210i
$381$	−3.02234	+	1.35786i	−0.154839	+	0.0695651i
$382$	−12.9065	−	13.2622i	−0.660356	−	0.678556i
$383$	−9.63887	−	29.6654i	−0.492523	−	1.51583i	−0.820781	−	0.571243i	$-0.806461\pi$
$383$	−9.63887	−	29.6654i	−0.492523	−	1.51583i	0.328258	−	0.944588i	$-0.393539\pi$
$384$	19.3133	−	3.31581i	0.985580	−	0.169209i
$385$	−19.1757	+	4.80753i	−0.977283	+	0.245014i
$386$	−31.2373	−	5.38370i	−1.58994	−	0.274023i
$387$	10.0769	−	23.0501i	0.512238	−	1.17170i
$388$	2.09082	−	2.71916i	0.106146	−	0.138044i
$389$	−15.1822	−	20.8964i	−0.769766	−	1.05949i	−0.996338	−	0.0854974i	$-0.972752\pi$
$389$	−15.1822	−	20.8964i	−0.769766	−	1.05949i	0.226573	−	0.973994i	$-0.427248\pi$
$390$	−4.17369	−	22.5436i	−0.211343	−	1.14154i
$391$	−11.9036	+	16.3839i	−0.601990	+	0.828568i
$392$	30.8858	+	17.3580i	1.55997	+	0.876711i
$393$	−11.0768	+	1.20198i	−0.558751	+	0.0606320i
$394$	−9.10635	−	4.79692i	−0.458771	−	0.241665i
$395$	5.23782	−	6.25870i	0.263543	−	0.314909i
$396$	−11.9106	−	1.49859i	−0.598532	−	0.0753071i
$397$	10.8922	−	33.5228i	0.546665	−	1.68246i	−0.170334	−	0.985386i	$-0.554485\pi$
$397$	10.8922	−	33.5228i	0.546665	−	1.68246i	0.716999	−	0.697074i	$-0.245515\pi$
$398$	−2.74871	+	15.9486i	−0.137780	+	0.799431i
$399$	−11.5070	+	1.24867i	−0.576073	+	0.0625117i
$400$	−2.44916	−	19.8495i	−0.122458	−	0.992474i
$401$			19.6151i			0.979534i	0.871853	+	0.489767i	$0.162918\pi$
$401$			19.6151i			0.979534i	−0.871853	+	0.489767i	$0.837082\pi$
$402$	0.577791	−	9.22065i	0.0288176	−	0.459884i
$403$	30.4521	+	9.89448i	1.51693	+	0.492879i
$404$	−8.34890	+	23.5016i	−0.415373	+	1.16925i
$405$	−18.8071	+	7.16183i	−0.934534	+	0.355874i
$406$	−0.801263	+	1.52110i	−0.0397660	+	0.0754908i
$407$	15.5774			0.772145
$408$	7.45280	−	17.4364i	0.368968	−	0.863233i
$409$	5.17758	+	3.76173i	0.256015	+	0.186006i	0.708388	−	0.705823i	$-0.249423\pi$
$409$	5.17758	+	3.76173i	0.256015	+	0.186006i	−0.452373	+	0.891829i	$0.649423\pi$
$410$	2.86116	+	6.97770i	0.141303	+	0.344604i
$411$	−15.0188	−	16.5674i	−0.740821	−	0.817209i
$412$	−10.4803	−	8.05856i	−0.516329	−	0.397017i
$413$	−25.4570	+	35.0386i	−1.25266	+	1.72413i
$414$	−22.1746	+	1.00986i	−1.08982	+	0.0496318i
$415$	22.2971	+	1.53003i	1.09452	+	0.0751064i
$416$	2.10746	+	23.5846i	0.103326	+	1.15633i
$417$	−8.86994	+	3.98503i	−0.434363	+	0.195148i
$418$	−3.06659	+	2.98434i	−0.149992	+	0.145969i
$419$	−8.04985	−	24.7749i	−0.393261	−	1.21033i	−0.930308	−	0.366781i	$-0.880460\pi$
$419$	−8.04985	−	24.7749i	−0.393261	−	1.21033i	0.537046	−	0.843553i	$-0.319540\pi$
$420$	27.4397	−	20.4605i	1.33892	−	0.998368i
$421$	−3.21384	+	9.89119i	−0.156633	+	0.482067i	−0.998323	−	0.0578946i	$-0.981561\pi$
$421$	−3.21384	+	9.89119i	−0.156633	+	0.482067i	0.841690	+	0.539962i	$0.181561\pi$
$422$	5.16477	+	10.4864i	0.251417	+	0.510469i
$423$	2.17583	−	2.44951i	0.105792	−	0.119099i
$424$	4.33386	+	4.70253i	0.210471	+	0.228375i
$425$	−17.4168	−	8.43873i	−0.844838	−	0.409338i
$426$	15.1709	+	12.5440i	0.735030	+	0.607759i
$427$	38.4002	+	52.8533i	1.85832	+	2.55775i
$428$	−2.15932	−	0.767096i	−0.104375	−	0.0370790i
$429$	2.96805	−	14.1987i	0.143299	−	0.685521i
$430$	22.5602	+	13.9358i	1.08795	+	0.672042i
$431$	−1.55898	−	4.79804i	−0.0750933	−	0.231113i	0.906463	−	0.422284i	$-0.138772\pi$
$431$	−1.55898	−	4.79804i	−0.0750933	−	0.231113i	−0.981557	+	0.191171i	$0.938772\pi$
$432$	20.0321	−	5.54199i	0.963796	−	0.266639i
$433$	−1.28103	−	3.94262i	−0.0615626	−	0.189470i	0.915545	−	0.402215i	$-0.131760\pi$
$433$	−1.28103	−	3.94262i	−0.0615626	−	0.189470i	−0.977108	+	0.212745i	$0.931760\pi$
$434$	6.83559	+	47.3114i	0.328119	+	2.27102i
$435$	0.659908	+	0.836559i	0.0316402	+	0.0401100i
$436$	13.3630	+	19.4852i	0.639973	+	0.933172i
$437$	−4.65078	+	6.40125i	−0.222477	+	0.306214i
$438$	2.39616	+	9.32272i	0.114493	+	0.445457i
$439$	0.503791	+	0.693408i	0.0240446	+	0.0330946i	0.820870	−	0.571115i	$-0.193489\pi$
$439$	0.503791	+	0.693408i	0.0240446	+	0.0330946i	−0.796825	+	0.604210i	$0.793489\pi$
$440$	3.33088	−	12.2076i	0.158793	−	0.581977i
$441$	34.4318	+	15.0527i	1.63961	+	0.716796i
$442$	20.2725	+	10.6789i	0.964264	+	0.507942i
$443$	19.5909			0.930794			0.465397	−	0.885102i	$-0.345912\pi$
$443$	19.5909			0.930794			0.465397	+	0.885102i	$0.345912\pi$
$444$	−24.8932	+	10.3802i	−1.18138	+	0.492622i
$445$	−5.02761	+	1.26047i	−0.238332	+	0.0597520i
$446$	−5.41177	−	10.9879i	−0.256255	−	0.520291i
$447$	−37.8857	−	7.91948i	−1.79193	−	0.374578i
$448$	−30.1969	+	18.3798i	−1.42667	+	0.868366i
$449$		−	24.8419i		−	1.17236i	−0.810180	−	0.586181i	$-0.800631\pi$
$449$		−	24.8419i		−	1.17236i	0.810180	−	0.586181i	$-0.199369\pi$
$450$	−4.68405	−	20.6896i	−0.220808	−	0.975317i
$451$			4.77149i			0.224681i
$452$	1.13686	−	0.779666i	0.0534736	−	0.0366724i
$453$	−2.37269	−	0.495978i	−0.111479	−	0.0233031i
$454$	−4.05147	+	1.99543i	−0.190145	+	0.0936504i
$455$	21.9627	+	35.0462i	1.02963	+	1.64299i
$456$	2.91184	−	6.81250i	0.136360	−	0.319025i
$457$	24.8881			1.16422			0.582108	−	0.813112i	$-0.302228\pi$
$457$	24.8881			1.16422			0.582108	+	0.813112i	$0.302228\pi$
$458$	5.11091	−	9.70242i	0.238817	−	0.453365i
$459$	6.02142	−	19.1902i	0.281056	−	0.895721i
$460$	2.23573	−	23.2913i	0.104241	−	1.08596i
$461$	−9.31497	−	12.8210i	−0.433841	−	0.597131i	0.534988	−	0.844859i	$-0.320316\pi$
$461$	−9.31497	−	12.8210i	−0.433841	−	0.597131i	−0.968830	+	0.247728i	$0.920316\pi$
$462$	20.9743	−	5.39089i	0.975812	−	0.250807i
$463$	−14.3269	+	19.7192i	−0.665826	+	0.916431i	−0.999657	−	0.0262021i	$-0.991659\pi$
$463$	−14.3269	+	19.7192i	−0.665826	+	0.916431i	0.333831	+	0.942633i	$0.391659\pi$
$464$	−0.597496	−	0.924119i	−0.0277380	−	0.0429012i
$465$	28.5163	+	8.03295i	1.32241	+	0.372519i
$466$	−32.6226	+	4.71334i	−1.51121	+	0.218341i
$467$	3.98955	+	12.2786i	0.184615	+	0.568185i	0.999942	−	0.0108156i	$-0.00344278\pi$
$467$	3.98955	+	12.2786i	0.184615	+	0.568185i	−0.815327	+	0.579001i	$0.803443\pi$
$468$	4.71846	+	24.6677i	0.218111	+	1.14027i
$469$	5.15024	+	15.8508i	0.237816	+	0.731922i
$470$	2.23353	+	2.63408i	0.103025	+	0.121501i
$471$	−1.74559	+	8.35065i	−0.0804324	+	0.384778i
$472$	−11.5682	−	25.1930i	−0.532469	−	1.15960i
$473$	9.86149	+	13.5732i	0.453432	+	0.624095i
$474$	−5.69697	+	6.88997i	−0.261671	+	0.316467i
$475$	−6.80482	−	3.29705i	−0.312226	−	0.151279i
$476$	−0.929783	+	34.1953i	−0.0426165	+	1.56734i
$477$	5.07118	+	4.50458i	0.232193	+	0.206251i
$478$	28.0215	−	13.8012i	1.28167	−	0.631251i
$479$	4.71248	−	14.5035i	0.215319	−	0.662682i	−0.783812	−	0.620998i	$-0.786728\pi$
$479$	4.71248	−	14.5035i	0.215319	−	0.662682i	0.999131	−	0.0416845i	$-0.0132724\pi$
$480$	2.81186	+	21.7277i	0.128343	+	0.991730i
$481$	−10.0708	−	30.9948i	−0.459190	−	1.41324i
$482$	5.32718	+	5.47400i	0.242647	+	0.249334i
$483$	36.5270	−	16.4106i	1.66204	−	0.746710i
$484$	−8.53010	+	11.0936i	−0.387732	+	0.504253i
$485$	2.94093	+	2.46123i	0.133541	+	0.111758i
$486$	20.5553	−	7.96746i	0.932406	−	0.361412i
$487$	23.6803	−	32.5932i	1.07306	−	1.47694i	0.206116	−	0.978528i	$-0.433918\pi$
$487$	23.6803	−	32.5932i	1.07306	−	1.47694i	0.866942	−	0.498410i	$-0.166082\pi$
$488$	−41.5344	+	4.85252i	−1.88017	+	0.219663i
$489$	−1.76641	−	1.94854i	−0.0798796	−	0.0881162i
$490$	−20.8170	+	33.7000i	−0.940416	+	1.52241i
$491$	−29.0441	−	21.1018i	−1.31074	−	0.952311i	−0.999998	−	0.00181821i	$-0.999421\pi$
$491$	−29.0441	−	21.1018i	−1.31074	−	0.952311i	−0.310746	−	0.950493i	$-0.600579\pi$
$492$	−3.17953	−	7.62496i	−0.143344	−	0.343760i
$493$	−1.06488			−0.0479597
$494$	7.92056	+	4.17229i	0.356363	+	0.187720i
$495$	2.22425	−	13.2359i	0.0999726	−	0.594910i
$496$	−28.5434	−	11.0226i	−1.28164	−	0.494928i
$497$	−33.7737	−	10.9737i	−1.51496	−	0.492239i
$498$	−24.4348	−	1.53115i	−1.09495	−	0.0686125i
$499$		−	9.94108i		−	0.445024i	−0.974930	−	0.222512i	$-0.928574\pi$
$499$		−	9.94108i		−	0.445024i	0.974930	−	0.222512i	$-0.0714256\pi$
$500$	22.2866	−	1.81897i	0.996686	−	0.0813470i
$501$	0.784219	−	0.0850984i	0.0350363	−	0.00380192i
$502$	−3.79873	−	0.654703i	−0.169545	−	0.0292208i
$503$	0.0880662	−	0.271040i	0.00392668	−	0.0120851i	−0.949074	−	0.315053i	$-0.897978\pi$
$503$	0.0880662	−	0.271040i	0.00392668	−	0.0120851i	0.953001	+	0.302968i	$0.0979776\pi$
$504$	−29.9252	+	22.5912i	−1.33297	+	1.00629i
$505$	−25.8674	−	10.4120i	−1.15109	−	0.463329i
$506$	6.89955	−	13.0979i	0.306722	−	0.582274i
$507$	−7.78516	+	0.844795i	−0.345751	+	0.0375187i
$508$	1.08294	+	3.66946i	0.0480477	+	0.162806i
$509$	5.71140	−	7.86107i	0.253153	−	0.348436i	−0.663459	−	0.748213i	$-0.730912\pi$
$509$	5.71140	−	7.86107i	0.253153	−	0.348436i	0.916613	+	0.399777i	$0.130912\pi$
$510$	19.1336	+	9.13083i	0.847251	+	0.404320i
$511$	−10.2067	−	14.0483i	−0.451517	−	0.621460i
$512$	−0.786212	−	22.6138i	−0.0347460	−	0.999396i
$513$	2.35260	−	7.49770i	0.103870	−	0.331031i
$514$	−3.01310	+	17.4826i	−0.132902	+	0.771126i
$515$	9.48619	−	11.3351i	0.418011	−	0.499484i
$516$	−24.8035	−	15.1190i	−1.09191	−	0.665576i
$517$	0.675218	+	2.07811i	0.0296960	+	0.0913950i
$518$	34.8685	−	33.9333i	1.53203	−	1.49094i
$519$	19.9080	−	8.94415i	0.873865	−	0.392605i
$520$	−26.4433	+	1.26472i	−1.15961	+	0.0554616i
$521$	−5.32659	−	1.73071i	−0.233362	−	0.0758240i	0.190001	−	0.981784i	$-0.439151\pi$
$521$	−5.32659	−	1.73071i	−0.233362	−	0.0758240i	−0.423364	+	0.905960i	$0.639151\pi$
$522$	−0.728316	−	0.912101i	−0.0318775	−	0.0399216i
$523$	11.7509	+	16.1737i	0.513832	+	0.707228i	0.984560	−	0.175050i	$-0.0560087\pi$
$523$	11.7509	+	16.1737i	0.513832	+	0.707228i	−0.470728	+	0.882278i	$0.656009\pi$
$524$	−0.349688	+	12.8607i	−0.0152762	+	0.561823i
$525$	21.5884	+	31.5975i	0.942195	+	1.37903i
$526$	−4.67602	−	4.80489i	−0.203884	−	0.209503i
$527$	−23.9538	+	17.4035i	−1.04345	+	0.758108i
$528$	−3.56941	+	13.3942i	−0.155338	+	0.582908i
$529$	1.35169	−	4.16007i	0.0587691	−	0.180873i
$530$	−5.45330	+	4.62404i	−0.236876	+	0.200855i
$531$	−14.8732	−	25.3646i	−0.645441	−	1.10073i
$532$	−0.363271	+	13.3603i	−0.0157498	+	0.579240i
$533$	9.49395	−	3.08477i	0.411228	−	0.133616i
$534$	5.49918	−	1.41342i	0.237973	−	0.0611647i
$535$	0.956655	−	2.37670i	0.0413598	−	0.102754i
$536$	−10.4598	−	2.09697i	−0.451796	−	0.0905752i
$537$	24.2765	+	13.9071i	1.04761	+	0.600137i
$538$	14.7443	−	2.13027i	0.635672	−	0.0918424i
$539$	−20.2754	+	14.7309i	−0.873323	+	0.634506i
$540$	5.26547	+	22.6335i	0.226590	+	0.973990i
$541$	35.3356	+	25.6728i	1.51920	+	1.10376i	0.961884	+	0.273458i	$0.0881674\pi$
$541$	35.3356	+	25.6728i	1.51920	+	1.10376i	0.557312	+	0.830303i	$0.311833\pi$
$542$	−34.1749	−	18.0022i	−1.46794	−	0.773259i
$543$	27.0224	−	2.93229i	1.15964	−	0.125837i
$544$	−18.7894	−	11.2424i	−0.805587	−	0.482015i
$545$	−22.3838	+	14.0275i	−0.958817	+	0.600870i
$546$	−24.2863	−	38.2478i	−1.03936	−	1.63686i
$547$	12.1846	+	3.95900i	0.520974	+	0.169275i	0.557687	−	0.830051i	$-0.311689\pi$
$547$	12.1846	+	3.95900i	0.520974	+	0.169275i	−0.0367131	+	0.999326i	$0.511689\pi$
$548$	−21.2944	+	14.6038i	−0.909652	+	0.623843i
$549$	−43.3211	+	9.51388i	−1.84890	+	0.406043i
$550$	13.4830	+	4.28478i	0.574919	+	0.182704i
$551$	−0.416053			−0.0177245
$552$	−2.29772	+	25.5284i	−0.0977976	+	1.08656i
$553$	4.98382	−	15.3386i	0.211933	−	0.652264i
$554$	20.3226	−	10.0093i	0.863424	−	0.425255i
$555$	−10.4456	−	28.2872i	−0.443390	−	1.20072i
$556$	3.17821	+	10.7691i	0.134786	+	0.456713i
$557$		−	16.7482i		−	0.709645i	−0.934934	−	0.354823i	$-0.884541\pi$
$557$		−	16.7482i		−	0.709645i	0.934934	−	0.354823i	$-0.115459\pi$
$558$	−31.2897	−	8.61420i	−1.32460	−	0.364668i
$559$	20.6314	−	28.3967i	0.872616	−	1.20105i
$560$	−19.1368	−	34.5814i	−0.808678	−	1.46133i
$561$	9.00897	+	9.93790i	0.380359	+	0.419578i
$562$	−42.2151	+	6.09927i	−1.78074	+	0.257282i
$563$	23.6346	+	17.1715i	0.996079	+	0.723693i	0.961244	−	0.275700i	$-0.0889095\pi$
$563$	23.6346	+	17.1715i	0.996079	+	0.723693i	0.0348348	+	0.999393i	$0.488910\pi$
$564$	−2.46378	−	2.87093i	−0.103744	−	0.120888i
$565$	0.818433	+	1.30598i	0.0344317	+	0.0549432i
$566$	25.5460	−	3.69091i	1.07378	−	0.155140i
$567$	−29.1930	+	27.0071i	−1.22599	+	1.13419i
$568$	16.7147	−	15.4043i	0.701335	−	0.646352i
$569$	29.2544	−	9.50533i	1.22641	−	0.398484i	0.376997	−	0.926215i	$-0.376957\pi$
$569$	29.2544	−	9.50533i	1.22641	−	0.398484i	0.849412	+	0.527730i	$0.176957\pi$
$570$	7.47559	+	3.56746i	0.313118	+	0.149424i
$571$	5.93233	+	1.92753i	0.248260	+	0.0806646i	0.430504	−	0.902589i	$-0.358336\pi$
$571$	5.93233	+	1.92753i	0.248260	+	0.0806646i	−0.182244	+	0.983253i	$0.558336\pi$
$572$	−15.7833	−	5.60700i	−0.659933	−	0.234440i
$573$	−16.7921	+	15.2225i	−0.701500	+	0.635929i
$574$	10.3940	+	10.6805i	0.433838	+	0.445794i
$575$	25.9149	+	3.57341i	1.08073	+	0.149021i
$576$	−3.22137	−	23.7828i	−0.134224	−	0.990951i
$577$	−16.9201	+	12.2932i	−0.704393	+	0.511772i	−0.881360	−	0.472445i	$-0.843372\pi$
$577$	−16.9201	+	12.2932i	−0.704393	+	0.511772i	0.176967	+	0.984217i	$0.443372\pi$
$578$	2.55989	−	1.26080i	0.106477	−	0.0524425i
$579$	−7.94346	+	38.0005i	−0.330119	+	1.57925i
$580$	1.05992	−	0.624761i	0.0440106	−	0.0259418i
$581$	42.0047	−	13.6482i	1.74265	−	0.566221i
$582$	−3.23757	−	2.67698i	−0.134201	−	0.110964i
$583$	−4.30226	+	1.39789i	−0.178182	+	0.0578947i
$584$	11.0398	−	1.28979i	0.456828	−	0.0533719i
$585$	−27.7738	+	4.13138i	−1.14830	+	0.170812i
$586$	−3.36035	+	19.4975i	−0.138815	+	0.805433i
$587$	21.7858	+	15.8283i	0.899194	+	0.653303i	0.938259	−	0.345934i	$-0.112438\pi$
$587$	21.7858	+	15.8283i	0.899194	+	0.653303i	−0.0390646	+	0.999237i	$0.512438\pi$
$588$	22.5845	−	37.0511i	0.931369	−	1.52796i
$589$	−9.35888	+	6.79962i	−0.385626	+	0.280174i
$590$	28.6770	−	11.7588i	1.18061	−	0.484103i
$591$	−6.26602	+	10.9380i	−0.257750	+	0.449931i
$592$	8.00002	+	30.0980i	0.328799	+	1.23702i
$593$			34.7563i			1.42727i	0.700518	+	0.713635i	$0.252952\pi$
$593$			34.7563i			1.42727i	−0.700518	+	0.713635i	$0.747048\pi$
$594$	−2.35049	+	14.5134i	−0.0964419	+	0.595492i
$595$	−38.1559	−	2.61827i	−1.56424	−	0.107338i
$596$	−14.9608	+	42.1137i	−0.612820	+	1.72505i
$597$	19.4016	+	4.05563i	0.794054	+	0.165986i
$598$	−30.5218	−	5.26038i	−1.24813	−	0.215113i
$599$	−44.8754			−1.83356			−0.916779	−	0.399394i	$-0.869221\pi$
$599$	−44.8754			−1.83356			−0.916779	+	0.399394i	$0.869221\pi$
$600$	−24.4015	+	2.13737i	−0.996186	+	0.0872578i
$601$	3.02176			0.123260			0.0616301	−	0.998099i	$-0.480370\pi$
$601$	3.02176			0.123260			0.0616301	+	0.998099i	$0.480370\pi$
$602$	51.6411	+	8.90026i	2.10474	+	0.362747i
$603$	−11.2608	−	1.10686i	−0.458576	−	0.0450748i
$604$	−0.936962	+	2.63748i	−0.0381244	+	0.107318i
$605$	−11.9984	−	10.0413i	−0.487803	−	0.408235i
$606$	28.4035	+	11.2375i	1.15381	+	0.456492i
$607$			9.01661i			0.365973i	0.983115	+	0.182986i	$0.0585765\pi$
$607$			9.01661i			0.365973i	−0.983115	+	0.182986i	$0.941424\pi$
$608$	−7.34109	−	4.39247i	−0.297720	−	0.178138i
$609$	1.82706	+	1.04666i	0.0740362	+	0.0424127i
$610$	−3.50200	−	46.6214i	−0.141792	−	1.88764i
$611$	3.69833	−	2.68699i	0.149618	−	0.108704i
$612$	−21.0188	−	9.87781i	−0.849634	−	0.399287i
$613$	39.0734	+	28.3885i	1.57816	+	1.14660i	0.918765	+	0.394805i	$0.129188\pi$
$613$	39.0734	+	28.3885i	1.57816	+	1.14660i	0.659396	+	0.751796i	$0.270812\pi$
$614$	0.386652	−	2.24344i	0.0156040	−	0.0905377i
$615$	8.66457	−	3.19956i	0.349389	−	0.129019i
$616$	−2.90177	−	24.8373i	−0.116916	−	1.00072i
$617$	−7.18684	+	2.33514i	−0.289331	+	0.0940094i	−0.450087	−	0.892985i	$-0.648607\pi$
$617$	−7.18684	+	2.33514i	−0.289331	+	0.0940094i	0.160756	+	0.986994i	$0.448607\pi$
$618$	−10.3178	+	12.4784i	−0.415041	+	0.501955i
$619$	2.33837	−	0.759781i	0.0939868	−	0.0305382i	−0.261646	−	0.965164i	$-0.584265\pi$
$619$	2.33837	−	0.759781i	0.0939868	−	0.0305382i	0.355633	+	0.934626i	$0.384265\pi$
$620$	13.6316	−	31.3760i	0.547459	−	1.26009i
$621$	0.274916	+	27.1850i	0.0110320	+	1.09090i
$622$	−25.4670	+	12.5430i	−1.02113	+	0.502930i
$623$	−8.28666	+	6.02061i	−0.331998	+	0.241211i
$624$	28.9584	−	1.55724i	1.15926	−	0.0623394i
$625$	1.00243	+	24.9799i	0.0400971	+	0.999196i
$626$	−1.47493	−	1.51557i	−0.0589499	−	0.0605745i
$627$	3.51985	+	3.88278i	0.140569	+	0.155063i
$628$	9.28258	+	3.29762i	0.370415	+	0.131590i
$629$	28.6613	+	9.31263i	1.14280	+	0.371319i
$630$	−23.8538	−	34.4724i	−0.950359	−	1.37341i
$631$	−1.31266	+	0.426511i	−0.0522564	+	0.0169791i	−0.335029	−	0.942208i	$-0.608746\pi$
$631$	−1.31266	+	0.426511i	−0.0522564	+	0.0169791i	0.282772	+	0.959187i	$0.408746\pi$
$632$	6.99601	+	7.59114i	0.278286	+	0.301959i
$633$	13.0590	−	5.86704i	0.519047	−	0.233194i
$634$	−21.4543	+	3.09973i	−0.852057	+	0.123106i
$635$	−4.14911	+	1.04022i	−0.164652	+	0.0412799i
$636$	5.94363	−	5.10072i	0.235680	−	0.202257i
$637$	42.4185	+	30.8189i	1.68068	+	1.22109i
$638$	0.770433	−	0.111313i	0.0305017	−	0.00440691i
$639$	16.0112	−	18.0251i	0.633391	−	0.713061i
$640$	25.2977	+	0.166364i	0.999978	+	0.00657611i
$641$	12.2458	−	16.8549i	0.483680	−	0.665728i	−0.495527	−	0.868593i	$-0.665025\pi$
$641$	12.2458	−	16.8549i	0.483680	−	0.665728i	0.979207	+	0.202864i	$0.0650250\pi$
$642$	−1.03250	+	2.60971i	−0.0407495	+	0.102997i
$643$		−	18.5482i		−	0.731469i	−0.930719	−	0.365734i	$-0.880818\pi$
$643$		−	18.5482i		−	0.731469i	0.930719	−	0.365734i	$-0.119182\pi$
$644$	−13.0881	−	44.3480i	−0.515742	−	1.74756i
$645$	18.0349	−	27.0091i	0.710123	−	1.06348i
$646$	−7.42641	+	3.65767i	−0.292188	+	0.143909i
$647$	7.73169	−	23.7957i	0.303964	−	0.935506i	−0.676097	−	0.736812i	$-0.736330\pi$
$647$	7.73169	−	23.7957i	0.303964	−	0.935506i	0.980062	−	0.198694i	$-0.0636699\pi$
$648$	−5.91501	−	24.7591i	−0.232364	−	0.972629i
$649$	19.6099			0.769756
$650$	−0.191265	−	29.5977i	−0.00750202	−	1.16092i
$651$	58.2044	−	6.31596i	2.28121	−	0.247542i
$652$	−2.50450	+	1.71760i	−0.0980839	+	0.0672663i
$653$	39.3124	+	12.7734i	1.53841	+	0.499861i	0.950938	−	0.309382i	$-0.100122\pi$
$653$	39.3124	+	12.7734i	1.53841	+	0.499861i	0.587475	+	0.809242i	$0.300122\pi$
$654$	24.4286	−	15.5115i	0.955236	−	0.606547i
$655$	−14.3503	−	0.984721i	−0.560712	−	0.0384762i
$656$	−9.21925	+	2.45046i	−0.359951	+	0.0956746i
$657$	11.5147	−	2.52877i	0.449230	−	0.0986567i
$658$	6.03827	+	3.18076i	0.235396	+	0.123999i
$659$	−21.4435	−	15.5796i	−0.835320	−	0.606896i	0.0857391	−	0.996318i	$-0.472675\pi$
$659$	−21.4435	−	15.5796i	−0.835320	−	0.606896i	−0.921060	+	0.389422i	$0.872675\pi$
$660$	−14.7975	−	4.60604i	−0.575992	−	0.179290i
$661$	25.8205	−	18.7597i	1.00430	−	0.729668i	0.0412960	−	0.999147i	$-0.486851\pi$
$661$	25.8205	−	18.7597i	1.00430	−	0.729668i	0.963006	+	0.269479i	$0.0868513\pi$
$662$	−21.0192	+	3.03687i	−0.816935	+	0.118031i
$663$	13.9494	−	24.3502i	0.541749	−	0.945684i
$664$	−5.55698	+	27.7186i	−0.215653	+	1.07569i
$665$	−14.9077	−	1.02297i	−0.578095	−	0.0396690i
$666$	11.6262	+	30.9186i	0.450505	+	1.19807i
$667$	1.36895	−	0.444800i	0.0530060	−	0.0172227i
$668$	0.0247573	−	0.910518i	0.000957890	−	0.0352290i
$669$	−13.6835	+	6.14763i	−0.529034	+	0.237681i
$670$	2.82566	−	11.5876i	0.109165	−	0.447668i
$671$	9.14079	−	28.1325i	0.352876	−	1.08604i
$672$	21.1877	+	37.7570i	0.817332	+	1.45651i
$673$	−22.4206	+	16.2896i	−0.864252	+	0.627916i	−0.929039	−	0.369983i	$-0.879363\pi$
$673$	−22.4206	+	16.2896i	−0.864252	+	0.627916i	0.0647861	+	0.997899i	$0.479363\pi$
$674$	−6.13315	−	6.30218i	−0.236240	−	0.242751i
$675$	−25.5266	+	4.83641i	−0.982521	+	0.186154i
$676$	−0.245773	+	9.03896i	−0.00945281	+	0.347652i
$677$	−18.6880	−	25.7219i	−0.718240	−	0.988573i	−0.999580	−	0.0289645i	$-0.990779\pi$
$677$	−18.6880	−	25.7219i	−0.718240	−	0.988573i	0.281340	−	0.959608i	$-0.409221\pi$
$678$	−0.905019	−	1.42529i	−0.0347570	−	0.0547379i
$679$	7.20754	+	2.34187i	0.276600	+	0.0898728i
$680$	13.4266	−	20.4699i	0.514888	−	0.784983i
$681$	2.26676	+	5.04539i	0.0868625	+	0.193340i
$682$	15.5113	−	15.0952i	0.593957	−	0.578027i
$683$	8.33811	+	25.6621i	0.319049	+	0.981932i	0.974056	+	0.226309i	$0.0726658\pi$
$683$	8.33811	+	25.6621i	0.319049	+	0.981932i	−0.655007	+	0.755623i	$0.727334\pi$
$684$	−8.21214	−	3.85931i	−0.313999	−	0.147564i
$685$	−15.3299	−	24.4621i	−0.585726	−	0.934651i
$686$	−5.86536	+	34.0320i	−0.223940	+	1.29935i
$687$	−11.6540	−	6.67618i	−0.444629	−	0.254712i
$688$	−21.1610	+	26.0246i	−0.806754	+	0.992179i
$689$	5.56283	+	7.65658i	0.211927	+	0.291693i
$690$	−28.4111	−	3.74601i	−1.08159	−	0.142608i
$691$	19.8791	−	27.3612i	0.756235	−	1.04087i	−0.241283	−	0.970455i	$-0.577568\pi$
$691$	19.8791	−	27.3612i	0.756235	−	1.04087i	0.997518	−	0.0704136i	$-0.0224319\pi$
$692$	−7.13328	−	24.1706i	−0.271167	−	0.918829i
$693$	−5.68923	−	25.9057i	−0.216116	−	0.984077i
$694$	7.01292	−	13.3132i	0.266207	−	0.505360i
$695$	−12.1768	+	3.05284i	−0.461892	+	0.115801i
$696$	−1.15700	+	0.691267i	−0.0438559	+	0.0262024i
$697$	−2.85253	+	8.77918i	−0.108047	+	0.332535i
$698$	−14.3254	−	2.46896i	−0.542225	−	0.0934515i
$699$	4.35504	+	40.1336i	0.164723	+	1.51799i
$700$	39.5142	−	19.7799i	1.49349	−	0.747609i
$701$			30.9892i			1.17045i	0.810872	+	0.585223i	$0.198993\pi$
$701$			30.9892i			1.17045i	−0.810872	+	0.585223i	$0.801007\pi$
$702$	30.3973	−	4.70610i	1.14727	−	0.177620i
$703$	11.1981	+	3.63849i	0.422345	+	0.137228i
$704$	14.7692	+	6.16976i	0.556634	+	0.232532i
$705$	3.32087	−	2.61962i	0.125071	−	0.0986606i
$706$	26.2856	+	13.8463i	0.989270	+	0.521114i
$707$	−55.1040			−2.07240
$708$	−31.3371	+	13.0673i	−1.17772	+	0.491098i
$709$	−28.7564	−	20.8928i	−1.07997	−	0.784645i	−0.102293	−	0.994754i	$-0.532618\pi$
$709$	−28.7564	−	20.8928i	−1.07997	−	0.784645i	−0.977678	+	0.210110i	$0.932618\pi$
$710$	16.4357	+	19.3833i	0.616822	+	0.727442i
$711$	8.18625	+	7.27160i	0.307008	+	0.272706i
$712$	−0.760806	−	6.51200i	−0.0285124	−	0.244048i
$713$	23.5244	−	32.3785i	0.880995	−	1.21259i
$714$	41.8139	+	2.62018i	1.56485	+	0.0980576i
$715$	6.99256	−	17.3722i	0.261507	−	0.649683i
$716$	19.6923	−	25.6103i	0.735937	−	0.957101i
$717$	−15.6778	−	34.8958i	−0.585498	−	1.30321i
$718$	−26.6871	−	27.4225i	−0.995952	−	1.02340i
$719$	−3.20211	−	9.85508i	−0.119419	−	0.367533i	0.873424	−	0.486960i	$-0.161894\pi$
$719$	−3.20211	−	9.85508i	−0.119419	−	0.367533i	−0.992843	+	0.119427i	$0.961894\pi$
$720$	26.7161	−	2.49989i	0.995651	−	0.0931656i
$721$	9.02617	−	27.7797i	0.336152	−	1.03457i
$722$	21.2035	−	10.4432i	0.789111	−	0.388654i
$723$	6.93095	−	6.28309i	0.257765	−	0.233671i
$724$	0.853080	−	31.3743i	0.0317045	−	1.16602i
$725$	0.648946	+	1.21287i	0.0241012	+	0.0450448i
$726$	13.2086	+	10.9215i	0.490216	+	0.405335i
$727$	3.98636	+	5.48676i	0.147846	+	0.203493i	0.876516	−	0.481372i	$-0.159861\pi$
$727$	3.98636	+	5.48676i	0.147846	+	0.203493i	−0.728670	+	0.684865i	$0.759861\pi$
$728$	−47.5433	+	21.8310i	−1.76207	+	0.809112i
$729$	−8.86106	−	25.5045i	−0.328187	−	0.944613i
$730$	0.930824	+	12.3919i	0.0344513	+	0.458643i
$731$	10.0300	+	30.8691i	0.370972	+	1.14173i
$732$	4.13913	+	51.0475i	0.152987	+	1.88677i
$733$	3.39852	+	10.4596i	0.125527	+	0.386333i	0.993997	−	0.109409i	$-0.0348959\pi$
$733$	3.39852	+	10.4596i	0.125527	+	0.386333i	−0.868469	+	0.495743i	$0.834896\pi$
$734$	35.1935	−	5.08477i	1.29901	−	0.187682i
$735$	40.3458	+	26.9402i	1.48818	+	0.993705i
$736$	28.8506	+	6.60436i	1.06345	+	0.243440i
$737$	4.43558	−	6.10505i	0.163387	−	0.224882i
$738$	−9.47060	+	3.56118i	−0.348618	+	0.131089i
$739$	−19.9689	−	27.4848i	−0.734568	−	1.01105i	−0.998913	−	0.0466180i	$-0.985156\pi$
$739$	−19.9689	−	27.4848i	−0.734568	−	1.01105i	0.264345	−	0.964428i	$-0.414844\pi$
$740$	−33.9914	+	7.54630i	−1.24955	+	0.277407i
$741$	5.45009	−	9.51375i	0.200214	−	0.349496i
$742$	−6.58506	+	12.5009i	−0.241745	+	0.458923i
$743$	24.4782			0.898020			0.449010	−	0.893527i	$-0.351777\pi$
$743$	24.4782			0.898020			0.449010	+	0.893527i	$0.351777\pi$
$744$	−14.7285	+	34.4587i	−0.539975	+	1.26332i
$745$	−46.3533	−	18.6579i	−1.69825	−	0.683571i
$746$	−41.7563	+	20.5659i	−1.52881	+	0.752971i
$747$	−2.93318	+	29.8412i	−0.107320	+	1.09183i
$748$	12.7734	−	8.76004i	0.467041	−	0.320299i
$749$		−	5.06295i		−	0.184996i
$750$	−1.26041	−	27.3571i	−0.0460235	−	0.998940i
$751$			26.9872i			0.984777i	0.870375	+	0.492389i	$0.163876\pi$
$751$			26.9872i			0.984777i	−0.870375	+	0.492389i	$0.836124\pi$
$752$	−3.66845	+	2.37187i	−0.133775	+	0.0864930i
$753$	−0.965992	+	4.62118i	−0.0352027	+	0.168405i
$754$	−0.719567	−	1.46099i	−0.0262051	−	0.0532060i
$755$	−2.90299	−	1.16850i	−0.105651	−	0.0425260i
$756$	26.3541	+	37.6070i	0.958489	+	1.36775i
$757$	−17.2459			−0.626812			−0.313406	−	0.949619i	$-0.601470\pi$
$757$	−17.2459			−0.626812			−0.313406	+	0.949619i	$0.601470\pi$
$758$	38.4471	+	20.2526i	1.39646	+	0.735608i
$759$	−15.7325	−	9.01260i	−0.571054	−	0.327137i
$760$	5.24585	−	7.99767i	0.190287	−	0.290106i
$761$	10.5603	+	14.5350i	0.382810	+	0.526893i	0.956326	−	0.292301i	$-0.0944210\pi$
$761$	10.5603	+	14.5350i	0.382810	+	0.526893i	−0.573516	+	0.819194i	$0.694421\pi$
$762$	4.53828	−	1.16645i	0.164405	−	0.0422559i
$763$	−30.6838	+	42.2326i	−1.11083	+	1.52892i
$764$	14.8019	+	21.5832i	0.535513	+	0.780854i
$765$	12.0052	−	23.0234i	0.434051	−	0.832411i
$766$	6.30787	+	43.6589i	0.227913	+	1.57746i
$767$	−12.6778	−	39.0183i	−0.457769	−	1.40887i
$768$	−27.7128	−	0.0178533i	−1.00000	−	0.000644225i
$769$	−4.75664	−	14.6394i	−0.171529	−	0.527912i	0.827929	−	0.560833i	$-0.189519\pi$
$769$	−4.75664	−	14.6394i	−0.171529	−	0.527912i	−0.999458	+	0.0329211i	$0.989519\pi$
$770$	27.8792	−	2.09417i	1.00470	−	0.0754686i
$771$	21.2678	+	4.44573i	0.765940	+	0.160109i
$772$	42.2413	+	15.0062i	1.52030	+	0.540083i
$773$	−3.42545	−	4.71473i	−0.123205	−	0.169577i	0.742959	−	0.669337i	$-0.233422\pi$
$773$	−3.42545	−	4.71473i	−0.123205	−	0.169577i	−0.866164	+	0.499760i	$0.833422\pi$
$774$	−19.5804	+	29.7037i	−0.703802	+	1.06768i
$775$	34.4198	+	16.6770i	1.23640	+	0.599055i
$776$	−3.56704	+	3.28739i	−0.128049	+	0.118011i
$777$	−40.0222	−	44.1490i	−1.43579	−	1.58384i
$778$	16.1396	+	32.7694i	0.578633	+	1.17484i
$779$	−1.11450	+	3.43007i	−0.0399310	+	0.122895i
$780$	0.401844	+	32.4208i	0.0143883	+	1.16085i
$781$	4.96868	+	15.2920i	0.177793	+	0.547192i
$782$	20.5250	−	19.9745i	0.733971	−	0.714285i
$783$	−1.14796	+	0.851909i	−0.0410247	+	0.0304447i
$784$	−38.8751	−	31.6099i	−1.38840	−	1.12892i
$785$	−4.11251	+	10.2170i	−0.146782	+	0.364662i
$786$	15.7261	+	0.985439i	0.560931	+	0.0351495i
$787$	21.3701	−	29.4134i	0.761763	−	1.04848i	−0.235303	−	0.971922i	$-0.575608\pi$
$787$	21.3701	−	29.4134i	0.761763	−	1.04848i	0.997065	−	0.0765541i	$-0.0243918\pi$
$788$	11.5390	+	8.87261i	0.411060	+	0.316074i
$789$	−6.08376	+	5.51509i	−0.216587	+	0.196342i
$790$	−8.80308	+	7.46443i	−0.313200	+	0.265573i
$791$	2.46406	+	1.79025i	0.0876119	+	0.0636538i
$792$	16.2395	+	4.94942i	0.577046	+	0.175870i
$793$	−61.8854			−2.19761
$794$	−23.2322	+	44.1033i	−0.824478	+	1.56517i
$795$	5.42335	+	6.87514i	0.192346	+	0.243836i
$796$	7.66157	−	21.5668i	0.271557	−	0.764415i
$797$	−3.25990	−	1.05921i	−0.115472	−	0.0375190i	0.250711	−	0.968062i	$-0.419336\pi$
$797$	−3.25990	−	1.05921i	−0.115472	−	0.0375190i	−0.366183	+	0.930543i	$0.619336\pi$
$798$	16.3369	+	1.02372i	0.578320	+	0.0362391i
$799$			4.22722i			0.149548i
$800$	−1.35445	+	28.2518i	−0.0478870	+	0.998853i
$801$	−1.49164	−	6.79214i	−0.0527046	−	0.239988i
$802$	4.71148	−	27.3370i	0.166368	−	0.965302i
$803$	−2.42960	+	7.47755i	−0.0857388	+	0.263877i
$804$	−3.02001	+	12.7117i	−0.106508	+	0.448308i
$805$	50.1448	−	12.5718i	1.76737	−	0.443098i
$806$	−40.0634	−	21.1041i	−1.41117	−	0.743359i
$807$	−1.96833	−	18.1390i	−0.0692885	−	0.638524i
$808$	17.2806	−	30.7480i	0.607928	−	1.08171i
$809$	−12.4782	+	17.1747i	−0.438710	+	0.603832i	−0.969925	−	0.243405i	$-0.921736\pi$
$809$	−12.4782	+	17.1747i	−0.438710	+	0.603832i	0.531215	+	0.847237i	$0.321736\pi$
$810$	27.9311	−	5.46381i	0.981399	−	0.191979i
$811$	−2.12475	−	2.92446i	−0.0746100	−	0.102692i	0.770081	−	0.637946i	$-0.220216\pi$
$811$	−2.12475	−	2.92446i	−0.0746100	−	0.102692i	−0.844691	+	0.535254i	$0.820216\pi$
$812$	1.48205	−	1.92744i	0.0520099	−	0.0676400i
$813$	−23.5155	+	41.0490i	−0.824725	+	1.43965i
$814$	−21.7098	−	3.74164i	−0.760927	−	0.131144i
$815$	−1.80300	−	2.87707i	−0.0631563	−	0.100779i
$816$	−14.5749	+	22.5105i	−0.510223	+	0.788024i
$817$	3.91876	+	12.0607i	0.137100	+	0.421950i
$818$	−6.31227	−	6.48623i	−0.220703	−	0.226786i
$819$	−47.8672	+	28.0681i	−1.67261	+	0.980778i
$820$	−2.31149	−	10.4118i	−0.0807206	−	0.363597i
$821$	13.4776	+	4.37913i	0.470371	+	0.152833i	0.534605	−	0.845102i	$-0.320460\pi$
$821$	13.4776	+	4.37913i	0.470371	+	0.152833i	−0.0642339	+	0.997935i	$0.520460\pi$
$822$	16.9517	+	26.6969i	0.591260	+	0.931160i
$823$	−29.5914	−	40.7290i	−1.03149	−	1.41972i	−0.903823	−	0.427907i	$-0.859251\pi$
$823$	−29.5914	−	40.7290i	−1.03149	−	1.41972i	−0.127667	−	0.991817i	$-0.540749\pi$
$824$	12.6704	+	13.7483i	0.441396	+	0.478944i
$825$	5.82888	−	16.3172i	0.202935	−	0.568093i
$826$	43.8947	−	42.7174i	1.52729	−	1.48633i
$827$	12.5490	−	9.11738i	0.436371	−	0.317042i	−0.347820	−	0.937561i	$-0.613078\pi$
$827$	12.5490	−	9.11738i	0.436371	−	0.317042i	0.784192	+	0.620519i	$0.213078\pi$
$828$	31.1466	+	3.91885i	1.08242	+	0.136190i
$829$	−8.39101	+	25.8249i	−0.291432	+	0.896935i	0.692965	+	0.720971i	$0.256304\pi$
$829$	−8.39101	+	25.8249i	−0.291432	+	0.896935i	−0.984397	+	0.175964i	$0.943696\pi$
$830$	−30.7072	−	7.48803i	−1.06586	−	0.259913i
$831$	−11.3703	−	25.3082i	−0.394432	−	0.877933i
$832$	2.72784	−	33.3753i	0.0945710	−	1.15708i
$833$	−46.1117	+	14.9826i	−1.59768	+	0.519117i
$834$	13.3189	−	3.42328i	0.461197	−	0.118539i
$835$	1.01598	+	0.0697166i	0.0351593	+	0.00241264i
$836$	4.99062	−	3.42259i	0.172604	−	0.118373i
$837$	−11.8998	+	37.9245i	−0.411317	+	1.31086i
$838$	5.26798	+	36.4615i	0.181979	+	1.25954i
$839$	25.2321	−	18.3322i	0.871108	−	0.632897i	−0.0597762	−	0.998212i	$-0.519039\pi$
$839$	25.2321	−	18.3322i	0.871108	−	0.632897i	0.930884	+	0.365315i	$0.119039\pi$
$840$	−43.1563	+	21.9242i	−1.48903	+	0.756455i
$841$	−23.4003	−	17.0013i	−0.806906	−	0.586251i
$842$	6.85485	−	13.0131i	0.236234	−	0.448460i
$843$	5.63562	+	51.9347i	0.194101	+	1.78873i
$844$	−4.67918	−	15.8551i	−0.161064	−	0.545754i
$845$	−10.0859	−	0.692096i	−0.346965	−	0.0238088i
$846$	−3.62074	+	2.89118i	−0.124484	+	0.0994008i
$847$	−29.4052	−	9.55433i	−1.01037	−	0.328291i
$848$	−4.91043	−	7.59473i	−0.168625	−	0.260804i
$849$	−3.41033	−	31.4277i	−0.117042	−	1.07860i
$850$	22.2462	+	15.9442i	0.763039	+	0.546882i
$851$	−40.7354			−1.39639
$852$	−18.1301	−	21.1261i	−0.621127	−	0.723770i
$853$	1.39353	−	4.28886i	0.0477137	−	0.146848i	−0.924361	−	0.381519i	$-0.875401\pi$
$853$	1.39353	−	4.28886i	0.0477137	−	0.146848i	0.972075	+	0.234671i	$0.0754012\pi$
$854$	−40.8219	−	82.8835i	−1.39690	−	2.83621i
$855$	4.69051	−	8.99534i	0.160412	−	0.307634i
$856$	2.82512	+	1.58774i	0.0965606	+	0.0542677i
$857$			45.4072i			1.55108i	0.631299	+	0.775540i	$0.282522\pi$
$857$			45.4072i			1.55108i	−0.631299	+	0.775540i	$0.717478\pi$
$858$	−7.54694	+	19.0754i	−0.257648	+	0.651223i
$859$	−18.7644	+	25.8270i	−0.640233	+	0.881204i	−0.998628	−	0.0523654i	$-0.983324\pi$
$859$	−18.7644	+	25.8270i	−0.640233	+	0.881204i	0.358395	+	0.933570i	$0.383324\pi$
$860$	−28.0940	−	24.8406i	−0.957998	−	0.847059i
$861$	13.5232	−	12.2591i	0.460869	−	0.417789i
$862$	1.02023	+	7.06133i	0.0347490	+	0.240510i
$863$	−12.2815	−	8.92302i	−0.418066	−	0.303743i	0.358793	−	0.933417i	$-0.383188\pi$
$863$	−12.2815	−	8.92302i	−0.418066	−	0.303743i	−0.776859	+	0.629674i	$0.783188\pi$
$864$	−29.2493	+	2.91205i	−0.995080	+	0.0990700i
$865$	27.3300	−	6.85190i	0.929248	−	0.232971i
$866$	0.838334	+	5.80239i	0.0284877	+	0.197173i
$867$	−1.43224	−	3.18790i	−0.0486414	−	0.108267i
$868$	1.83748	−	67.5782i	0.0623681	−	2.29375i
$869$	−6.94501	+	2.25657i	−0.235593	+	0.0765489i
$870$	−0.718753	−	1.32439i	−0.0243680	−	0.0449011i
$871$	−15.0150	−	4.87866i	−0.508763	−	0.165307i
$872$	−13.9433	−	30.3656i	−0.472181	−	1.02831i
$873$	−3.41689	+	3.84668i	−0.115644	+	0.130190i
$874$	8.01920	−	7.80411i	0.271253	−	0.263978i
$875$	20.2704	+	45.0542i	0.685263	+	1.52311i
$876$	−1.10017	−	13.5683i	−0.0371713	−	0.458431i
$877$	−13.3803	+	9.72133i	−0.451819	+	0.328266i	−0.790314	−	0.612702i	$-0.790082\pi$
$877$	−13.3803	+	9.72133i	−0.451819	+	0.328266i	0.338494	+	0.940968i	$0.390082\pi$
$878$	−0.535562	−	1.08739i	−0.0180743	−	0.0366976i
$879$	23.7188	+	4.95808i	0.800015	+	0.167232i
$880$	−7.57436	+	16.2133i	−0.255332	+	0.546551i
$881$	20.7555	−	6.74386i	0.699270	−	0.227206i	0.0622573	−	0.998060i	$-0.480170\pi$
$881$	20.7555	−	6.74386i	0.699270	−	0.227206i	0.637012	+	0.770854i	$0.280170\pi$
$882$	−44.3709	−	29.2489i	−1.49404	−	0.984860i
$883$	−27.4387	+	8.91538i	−0.923386	+	0.300026i	−0.731855	−	0.681460i	$-0.761345\pi$
$883$	−27.4387	+	8.91538i	−0.923386	+	0.300026i	−0.191531	+	0.981487i	$0.561345\pi$
$884$	−25.6881	−	19.7522i	−0.863984	−	0.664337i
$885$	−13.1496	−	35.6097i	−0.442018	−	1.19701i
$886$	−27.3032	−	4.70566i	−0.917270	−	0.158090i
$887$	24.7527	+	17.9839i	0.831115	+	0.603840i	0.919875	−	0.392213i	$-0.128290\pi$
$887$	24.7527	+	17.9839i	0.831115	+	0.603840i	−0.0887596	+	0.996053i	$0.528290\pi$
$888$	37.1861	−	8.48729i	1.24788	−	0.284815i
$889$	−6.83868	+	4.96859i	−0.229362	+	0.166641i
$890$	7.30957	−	0.549064i	0.245017	−	0.0184047i
$891$	17.6622	+	3.50601i	0.591706	+	0.117456i
$892$	4.90296	+	16.6133i	0.164163	+	0.556255i
$893$			1.65160i			0.0552686i
$894$	50.8978	+	20.1371i	1.70228	+	0.673485i
$895$	27.6990	+	23.1809i	0.925877	+	0.774853i
$896$	46.4992	−	18.3622i	1.55343	−	0.613438i
$897$	−7.76151	+	37.1300i	−0.259149	+	1.23974i
$898$	−5.96692	+	34.6213i	−0.199119	+	1.15533i
$899$	2.10446			0.0701877
$900$	1.55845	+	29.9595i	0.0519483	+	0.998650i
$901$	−8.75154			−0.291556
$902$	1.14609	−	6.64986i	0.0381607	−	0.221416i
$903$	13.1320	−	62.8218i	0.437006	−	2.09058i
$904$	−1.77168	+	0.813525i	−0.0589253	+	0.0270574i
$905$	35.0082	+	2.40227i	1.16371	+	0.0798542i
$906$	3.18761	+	1.26114i	0.105901	+	0.0418985i
$907$		−	27.2148i		−	0.903651i	−0.892106	−	0.451826i	$-0.850773\pi$
$907$		−	27.2148i		−	0.903651i	0.892106	−	0.451826i	$-0.149227\pi$
$908$	6.12569	−	1.80782i	0.203288	−	0.0599948i
$909$	14.9856	−	34.2782i	0.497040	−	1.13694i
$910$	−22.1908	−	54.1181i	−0.735617	−	1.79400i
$911$	−9.70857	+	7.05369i	−0.321659	+	0.233699i	−0.736883	−	0.676020i	$-0.763703\pi$
$911$	−9.70857	+	7.05369i	−0.321659	+	0.233699i	0.415224	+	0.909719i	$0.363703\pi$
$912$	−5.69447	+	8.79494i	−0.188563	+	0.291230i
$913$	−16.1784	−	11.7543i	−0.535427	−	0.389011i
$914$	−34.6857	−	5.97801i	−1.14730	−	0.197735i
$915$	−57.2153	+	2.26563i	−1.89148	+	0.0748995i
$916$	−9.45339	+	12.2943i	−0.312349	+	0.406216i
$917$	−27.0340	+	8.78388i	−0.892741	+	0.290069i
$918$	−13.0012	+	25.2984i	−0.429105	+	0.834971i
$919$	−11.5052	+	3.73826i	−0.379521	+	0.123314i	−0.492564	−	0.870276i	$-0.663940\pi$
$919$	−11.5052	+	3.73826i	−0.379521	+	0.123314i	0.113043	+	0.993590i	$0.463940\pi$
$920$	−8.71033	+	31.9233i	−0.287171	+	1.05248i
$921$	−2.72916	−	0.570492i	−0.0899288	−	0.0187983i
$922$	9.90242	+	20.1055i	0.326119	+	0.662141i
$923$	27.2147	−	19.7726i	0.895782	−	0.650824i
$924$	−30.5260	+	2.47517i	−1.00423	+	0.0814271i
$925$	−6.85960	−	38.3197i	−0.225542	−	1.25994i
$926$	24.7034	−	24.0408i	0.811803	−	0.790030i
$927$	14.8261	+	13.1696i	0.486952	+	0.432545i
$928$	0.610740	+	1.43143i	0.0200485	+	0.0469890i
$929$	4.96432	+	1.61300i	0.162874	+	0.0529210i	0.389319	−	0.921103i	$-0.372710\pi$
$929$	4.96432	+	1.61300i	0.162874	+	0.0529210i	−0.226445	+	0.974024i	$0.572710\pi$
$930$	−37.8127	−	18.0447i	−1.23993	−	0.591711i
$931$	−18.0161	+	5.85378i	−0.590453	+	0.191850i
$932$	46.5971	+	1.26699i	1.52634	+	0.0415018i
$933$	14.2486	+	31.7146i	0.466477	+	1.03829i
$934$	−2.61084	−	18.0705i	−0.0854294	−	0.591286i
$935$	9.19560	+	14.6736i	0.300728	+	0.479876i
$936$	−0.650863	−	35.5120i	−0.0212741	−	1.16074i
$937$	−10.9674	−	7.96828i	−0.358289	−	0.260312i	0.394049	−	0.919089i	$-0.371074\pi$
$937$	−10.9674	−	7.96828i	−0.358289	−	0.260312i	−0.752338	+	0.658777i	$0.771074\pi$
$938$	−3.37042	−	23.3278i	−0.110048	−	0.761679i
$939$	−1.91896	+	1.73959i	−0.0626228	+	0.0567692i
$940$	−2.48010	−	4.20752i	−0.0808919	−	0.137234i
$941$	−22.8143	+	31.4012i	−0.743726	+	1.02365i	0.254670	+	0.967028i	$0.418033\pi$
$941$	−22.8143	+	31.4012i	−0.743726	+	1.02365i	−0.998396	+	0.0566224i	$0.981967\pi$
$942$	4.43856	−	11.2187i	0.144616	−	0.365526i
$943$		−	12.4776i		−	0.406325i
$944$	10.0709	+	37.8893i	0.327781	+	1.23319i
$945$	−43.2274	+	27.7024i	−1.40619	+	0.901159i
$946$	−10.4834	−	21.2852i	−0.340845	−	0.692040i
$947$	−11.9298	+	36.7162i	−0.387667	+	1.19312i	0.546860	+	0.837224i	$0.315823\pi$
$947$	−11.9298	+	36.7162i	−0.387667	+	1.19312i	−0.934527	+	0.355892i	$0.884177\pi$
$948$	9.59462	−	8.23394i	0.311619	−	0.267426i
$949$	16.4490			0.533957
$950$	8.69170	+	6.22948i	0.281996	+	0.202111i
$951$	2.86409	+	26.3939i	0.0928746	+	0.855880i
$952$	9.50937	−	47.4335i	0.308200	−	1.53733i
$953$	−12.4140	−	4.03355i	−0.402128	−	0.130659i	0.100968	−	0.994890i	$-0.467806\pi$
$953$	−12.4140	−	4.03355i	−0.402128	−	0.130659i	−0.503097	+	0.864230i	$0.667806\pi$
$954$	−5.98555	−	7.49596i	−0.193789	−	0.242691i
$955$	−24.7940	+	15.5378i	−0.802314	+	0.502793i
$956$	−42.3676	+	12.5036i	−1.37027	+	0.404395i
$957$	−0.102851	−	0.947818i	−0.00332470	−	0.0306386i
$958$	−10.0513	+	19.0811i	−0.324743	+	0.616484i
$959$	−46.1539	−	33.5328i	−1.49039	−	1.08283i
$960$	1.30012	−	30.9566i	0.0419611	−	0.999119i
$961$	22.2591	−	16.1722i	0.718037	−	0.521684i
$962$	6.59055	+	45.6154i	0.212488	+	1.47070i
$963$	3.14948	+	1.37687i	0.101490	+	0.0443691i
$964$	−6.10948	−	8.90850i	−0.196773	−	0.286923i
$965$	−18.7144	+	46.4937i	−0.602437	+	1.49668i
$966$	−54.8483	+	14.0973i	−1.76471	+	0.453574i
$967$	−31.5465	+	10.2501i	−1.01447	+	0.329620i	−0.768632	−	0.639691i	$-0.779062\pi$
$967$	−31.5465	+	10.2501i	−1.01447	+	0.329620i	−0.245835	+	0.969312i	$0.579062\pi$
$968$	14.5528	−	13.4118i	0.467743	−	0.431073i
$969$	4.15502	+	9.24829i	0.133478	+	0.297098i
$970$	−3.50750	−	4.13653i	−0.112619	−	0.132816i
$971$	−16.6549	+	51.2585i	−0.534481	+	1.64496i	0.210287	+	0.977640i	$0.432560\pi$
$971$	−16.6549	+	51.2585i	−0.534481	+	1.64496i	−0.744768	+	0.667323i	$0.767440\pi$
$972$	−30.5610	+	6.16669i	−0.980243	+	0.197797i
$973$	−20.0701	+	14.5818i	−0.643419	+	0.467471i
$974$	−40.8312	+	39.7361i	−1.30832	+	1.27323i
$975$	−36.2352	−	1.04876i	−1.16045	−	0.0335873i
$976$	59.0506	+	3.21360i	1.89016	+	0.102865i
$977$	20.7165	+	28.5138i	0.662778	+	0.912236i	0.999569	−	0.0293433i	$-0.00934162\pi$
$977$	20.7165	+	28.5138i	0.662778	+	0.912236i	−0.336791	+	0.941579i	$0.609342\pi$
$978$	1.99375	+	3.13990i	0.0637530	+	0.100403i
$979$	4.41077	+	1.43315i	0.140969	+	0.0458036i
$980$	37.1066	−	41.9664i	1.18533	−	1.34057i
$981$	−17.9269	−	30.5724i	−0.572362	−	0.976103i
$982$	35.4093	+	36.3852i	1.12996	+	1.16110i
$983$	9.76864	+	30.0648i	0.311571	+	0.958917i	0.977143	+	0.212583i	$0.0681877\pi$
$983$	9.76864	+	30.0648i	0.311571	+	0.958917i	−0.665572	+	0.746334i	$0.731812\pi$
$984$	2.59972	+	11.3904i	0.0828760	+	0.363112i
$985$	−10.4444	+	12.4801i	−0.332788	+	0.397650i
$986$	1.48409	+	0.255779i	0.0472629	+	0.00814568i
$987$	4.15489	−	7.25284i	0.132252	−	0.230860i
$988$	−10.0365	−	7.71726i	−0.319302	−	0.245519i
$989$	−25.7880	−	35.4942i	−0.820011	−	1.12865i
$990$	−6.27907	+	17.9122i	−0.199562	+	0.569287i
$991$	24.3068	−	33.4555i	0.772131	−	1.06275i	−0.223976	−	0.974595i	$-0.571904\pi$
$991$	24.3068	−	33.4555i	0.772131	−	1.06275i	0.996107	−	0.0881529i	$-0.0280964\pi$
$992$	37.1324	+	22.2178i	1.17895	+	0.705415i
$993$	2.80601	+	25.8587i	0.0890462	+	0.820600i
$994$	44.4334	+	23.4060i	1.40934	+	0.742394i
$995$	23.7379	+	9.55485i	0.752542	+	0.302909i
$996$	33.6861	+	8.00304i	1.06739	+	0.253586i
$997$	15.6079	−	48.0363i	0.494308	−	1.52132i	−0.323724	−	0.946152i	$-0.604935\pi$
$997$	15.6079	−	48.0363i	0.494308	−	1.52132i	0.818032	−	0.575173i	$-0.195065\pi$
$998$	−2.38781	+	13.8545i	−0.0755847	+	0.438558i
$999$	38.3476	−	12.8900i	1.21326	−	0.407823i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.11.4	✓	224
3.2	odd	2	inner	300.2.n.a.11.53	yes	224
4.3	odd	2	inner	300.2.n.a.11.32	yes	224
12.11	even	2	inner	300.2.n.a.11.25	yes	224
25.16	even	5	inner	300.2.n.a.191.25	yes	224
75.41	odd	10	inner	300.2.n.a.191.32	yes	224
100.91	odd	10	inner	300.2.n.a.191.53	yes	224
300.191	even	10	inner	300.2.n.a.191.4	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.4	✓	224	1.1	even	1	trivial
300.2.n.a.11.25	yes	224	12.11	even	2	inner
300.2.n.a.11.32	yes	224	4.3	odd	2	inner
300.2.n.a.11.53	yes	224	3.2	odd	2	inner
300.2.n.a.191.4	yes	224	300.191	even	10	inner
300.2.n.a.191.25	yes	224	25.16	even	5	inner
300.2.n.a.191.32	yes	224	75.41	odd	10	inner
300.2.n.a.191.53	yes	224	100.91	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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39367 - 0.240196i) q^{2} +(-0.354401 + 1.69541i) q^{3} +(1.88461 + 0.669506i) q^{4} +(-0.834949 + 2.07433i) q^{5} +(0.901146 - 2.27770i) q^{6} +4.41884i q^{7} +(-2.46571 - 1.38574i) q^{8} +(-2.74880 - 1.20171i) q^{9} +O(q^{10})\)	\(q+(-1.39367 - 0.240196i) q^{2} +(-0.354401 + 1.69541i) q^{3} +(1.88461 + 0.669506i) q^{4} +(-0.834949 + 2.07433i) q^{5} +(0.901146 - 2.27770i) q^{6} +4.41884i q^{7} +(-2.46571 - 1.38574i) q^{8} +(-2.74880 - 1.20171i) q^{9} +(1.66189 - 2.69038i) q^{10} +(1.61865 - 1.17602i) q^{11} +(-1.80299 + 2.95791i) q^{12} +(-3.38641 - 2.46037i) q^{13} +(1.06139 - 6.15839i) q^{14} +(-3.22093 - 2.15072i) q^{15} +(3.10352 + 2.52352i) q^{16} +(3.68125 - 1.19611i) q^{17} +(3.54227 + 2.33503i) q^{18} +(1.43828 - 0.467325i) q^{19} +(-2.96233 + 3.35031i) q^{20} +(-7.49172 - 1.56604i) q^{21} +(-2.53833 + 1.25018i) q^{22} +(-4.23280 + 3.07531i) q^{23} +(3.22325 - 3.68927i) q^{24} +(-3.60572 - 3.46393i) q^{25} +(4.12855 + 4.24233i) q^{26} +(3.01156 - 4.23445i) q^{27} +(-2.95844 + 8.32779i) q^{28} +(-0.261648 - 0.0850147i) q^{29} +(3.97231 + 3.77104i) q^{30} +(-7.27504 + 2.36380i) q^{31} +(-3.71914 - 4.26239i) q^{32} +(1.42017 + 3.16105i) q^{33} +(-5.41773 + 0.782757i) q^{34} +(-9.16614 - 3.68951i) q^{35} +(-4.37587 - 4.10509i) q^{36} +(6.29882 + 4.57636i) q^{37} +(-2.11673 + 0.305827i) q^{38} +(5.37147 - 4.86937i) q^{39} +(4.93324 - 3.95767i) q^{40} +(-1.40177 + 1.92938i) q^{41} +(10.0648 + 3.98202i) q^{42} +8.38550i q^{43} +(3.83787 - 1.13264i) q^{44} +(4.78785 - 4.69857i) q^{45} +(6.63779 - 3.26926i) q^{46} +(-0.337481 + 1.03866i) q^{47} +(-5.37828 + 4.36740i) q^{48} -12.5261 q^{49} +(4.19315 + 5.69364i) q^{50} +(0.723254 + 6.66511i) q^{51} +(-4.73483 - 6.90406i) q^{52} +(-2.15032 - 0.698680i) q^{53} +(-5.21420 + 5.17804i) q^{54} +(1.08796 + 4.33953i) q^{55} +(6.12338 - 10.8956i) q^{56} +(0.282579 + 2.60409i) q^{57} +(0.344230 + 0.181329i) q^{58} +(7.92936 + 5.76102i) q^{59} +(-4.63028 - 6.20971i) q^{60} +(11.9609 - 8.69011i) q^{61} +(10.7068 - 1.54692i) q^{62} +(5.31014 - 12.1465i) q^{63} +(4.15943 + 6.83368i) q^{64} +(7.93110 - 4.97025i) q^{65} +(-1.21998 - 4.74656i) q^{66} +(3.58710 - 1.16552i) q^{67} +(7.73852 + 0.210413i) q^{68} +(-3.71379 - 8.26621i) q^{69} +(11.8883 + 7.34361i) q^{70} +(-2.48340 + 7.64312i) q^{71} +(5.11248 + 6.77219i) q^{72} +(-3.17919 + 2.30981i) q^{73} +(-7.67923 - 7.89087i) q^{74} +(7.15063 - 4.88554i) q^{75} +(3.02348 + 0.0822095i) q^{76} +(5.19663 + 7.15254i) q^{77} +(-8.65563 + 5.49608i) q^{78} +(-3.47119 - 1.12786i) q^{79} +(-7.82590 + 4.33074i) q^{80} +(6.11181 + 6.60650i) q^{81} +(2.41703 - 2.35221i) q^{82} +(-3.08863 - 9.50583i) q^{83} +(-13.0705 - 7.96713i) q^{84} +(-0.592524 + 8.63482i) q^{85} +(2.01416 - 11.6866i) q^{86} +(0.236863 - 0.413471i) q^{87} +(-5.62077 + 0.656682i) q^{88} +(1.36249 + 1.87530i) q^{89} +(-7.80124 + 5.39821i) q^{90} +(10.8720 - 14.9640i) q^{91} +(-10.0361 + 2.96188i) q^{92} +(-1.42933 - 13.1719i) q^{93} +(0.719817 - 1.36648i) q^{94} +(-0.231502 + 3.37367i) q^{95} +(8.54455 - 4.79485i) q^{96} +(0.529975 - 1.63109i) q^{97} +(17.4572 + 3.00872i) q^{98} +(-5.86257 + 1.28750i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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