LMFDB - Embedded newform 570.2.bb.b.41.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(41,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 0, 13]))

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

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

chi := DirichletCharacter("570.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bb (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$14$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			41.1
Character	$\chi$	$=$	570.41
Dual form			570.2.bb.b.431.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 - 0.642788i) q^{2} +(-1.71584 - 0.236392i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(1.16246 + 1.28401i) q^{6} +(-1.76528 - 3.05755i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.88824 + 0.811224i) q^{9} +O(q^{10})$	\(q+(-0.766044 - 0.642788i) q^{2} +(-1.71584 - 0.236392i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(1.16246 + 1.28401i) q^{6} +(-1.76528 - 3.05755i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.88824 + 0.811224i) q^{9} +(0.642788 + 0.766044i) q^{10} +(-1.73713 - 1.00293i) q^{11} +(-0.0651521 - 1.73083i) q^{12} +(1.02093 - 2.80499i) q^{13} +(-0.613074 + 3.47691i) q^{14} +(1.64873 + 0.530754i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-1.11491 + 1.32870i) q^{17} +(-1.69107 - 2.47796i) q^{18} +(3.06461 + 3.09970i) q^{19} -1.00000i q^{20} +(2.30616 + 5.66357i) q^{21} +(0.686047 + 1.88490i) q^{22} +(-5.29116 + 0.932973i) q^{23} +(-1.06264 + 1.36777i) q^{24} +(0.939693 + 0.342020i) q^{25} +(-2.58510 + 1.49251i) q^{26} +(-4.76400 - 2.07469i) q^{27} +(2.70456 - 2.26939i) q^{28} +(0.911019 - 0.764436i) q^{29} +(-0.921836 - 1.46636i) q^{30} +(-8.56026 + 4.94227i) q^{31} +(0.939693 + 0.342020i) q^{32} +(2.74356 + 2.13152i) q^{33} +(1.70814 - 0.301191i) q^{34} +(1.20752 + 3.31763i) q^{35} +(-0.297363 + 2.98523i) q^{36} +10.4669i q^{37} +(-0.355181 - 4.34440i) q^{38} +(-2.41484 + 4.57159i) q^{39} +(-0.642788 + 0.766044i) q^{40} +(-0.105039 + 0.0382310i) q^{41} +(1.87385 - 5.82091i) q^{42} +(-0.416469 + 2.36191i) q^{43} +(0.686047 - 1.88490i) q^{44} +(-2.70349 - 1.30044i) q^{45} +(4.65296 + 2.68639i) q^{46} +(7.16564 + 8.53967i) q^{47} +(1.69322 - 0.364717i) q^{48} +(-2.73240 + 4.73265i) q^{49} +(-0.500000 - 0.866025i) q^{50} +(2.22710 - 2.01628i) q^{51} +(2.93966 + 0.518342i) q^{52} +(-0.822673 - 4.66561i) q^{53} +(2.31585 + 4.65154i) q^{54} +(1.53658 + 1.28935i) q^{55} -3.53055 q^{56} +(-4.52565 - 6.04305i) q^{57} -1.18925 q^{58} +(-4.67844 - 3.92568i) q^{59} +(-0.236392 + 1.71584i) q^{60} +(2.27915 + 12.9257i) q^{61} +(9.73437 + 1.71643i) q^{62} +(-2.61818 - 10.2630i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.49251 + 2.58510i) q^{65} +(-0.731573 - 3.39637i) q^{66} +(-7.85403 - 9.36006i) q^{67} +(-1.50211 - 0.867246i) q^{68} +(9.29934 - 0.350048i) q^{69} +(1.20752 - 3.31763i) q^{70} +(-1.46455 + 8.30588i) q^{71} +(2.14666 - 2.09567i) q^{72} +(8.07735 - 2.93991i) q^{73} +(6.72800 - 8.01812i) q^{74} +(-1.53151 - 0.808989i) q^{75} +(-2.52044 + 3.55631i) q^{76} +7.08181i q^{77} +(4.78844 - 1.94981i) q^{78} +(-0.0281290 - 0.0772837i) q^{79} +(0.984808 - 0.173648i) q^{80} +(7.68383 + 4.68602i) q^{81} +(0.105039 + 0.0382310i) q^{82} +(3.64183 - 2.10261i) q^{83} +(-5.17707 + 3.25459i) q^{84} +(1.32870 - 1.11491i) q^{85} +(1.83724 - 1.54163i) q^{86} +(-1.74387 + 1.09629i) q^{87} +(-1.73713 + 1.00293i) q^{88} +(-2.23621 - 0.813913i) q^{89} +(1.23509 + 2.73396i) q^{90} +(-10.3786 + 1.83003i) q^{91} +(-1.83760 - 5.04876i) q^{92} +(15.8564 - 6.45658i) q^{93} -11.1478i q^{94} +(-2.47980 - 3.58477i) q^{95} +(-1.53151 - 0.808989i) q^{96} +(-9.13273 + 10.8840i) q^{97} +(5.13522 - 1.86907i) q^{98} +(-4.20364 - 4.30591i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - 6 q^{6} + 42 q^{8}+O(q^{10}) $ 84 * q - 6 * q^6 + 42 * q^8	$ 84 q - 6 q^{6} + 42 q^{8} + 24 q^{13} - 24 q^{14} + 12 q^{17} - 12 q^{19} + 36 q^{22} + 24 q^{27} - 12 q^{28} - 12 q^{29} + 36 q^{33} + 12 q^{34} + 6 q^{36} + 18 q^{38} + 12 q^{39} + 6 q^{41} + 24 q^{43} + 36 q^{44} + 12 q^{47} - 12 q^{48} - 54 q^{49} - 42 q^{50} + 96 q^{51} + 12 q^{52} - 60 q^{53} - 18 q^{54} - 96 q^{57} - 24 q^{58} - 18 q^{59} - 48 q^{61} - 12 q^{62} - 114 q^{63} - 42 q^{64} - 24 q^{66} + 6 q^{67} - 54 q^{68} - 48 q^{69} + 48 q^{71} + 84 q^{73} + 24 q^{74} - 12 q^{79} - 36 q^{81} - 6 q^{82} + 36 q^{83} + 18 q^{84} + 12 q^{86} + 6 q^{87} - 12 q^{89} - 24 q^{90} + 24 q^{91} - 6 q^{93} - 12 q^{95} - 42 q^{97} + 36 q^{98} - 6 q^{99}+O(q^{100}) $ 84 * q - 6 * q^6 + 42 * q^8 + 24 * q^13 - 24 * q^14 + 12 * q^17 - 12 * q^19 + 36 * q^22 + 24 * q^27 - 12 * q^28 - 12 * q^29 + 36 * q^33 + 12 * q^34 + 6 * q^36 + 18 * q^38 + 12 * q^39 + 6 * q^41 + 24 * q^43 + 36 * q^44 + 12 * q^47 - 12 * q^48 - 54 * q^49 - 42 * q^50 + 96 * q^51 + 12 * q^52 - 60 * q^53 - 18 * q^54 - 96 * q^57 - 24 * q^58 - 18 * q^59 - 48 * q^61 - 12 * q^62 - 114 * q^63 - 42 * q^64 - 24 * q^66 + 6 * q^67 - 54 * q^68 - 48 * q^69 + 48 * q^71 + 84 * q^73 + 24 * q^74 - 12 * q^79 - 36 * q^81 - 6 * q^82 + 36 * q^83 + 18 * q^84 + 12 * q^86 + 6 * q^87 - 12 * q^89 - 24 * q^90 + 24 * q^91 - 6 * q^93 - 12 * q^95 - 42 * q^97 + 36 * q^98 - 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{13}{18}\right)$	$1$

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 $

$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$3$	−1.71584	−	0.236392i	−0.990643	−	0.136481i
$3$	−1.71584	−	0.236392i	−0.990643	−	0.136481i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−0.984808	−	0.173648i	−0.440419	−	0.0776578i
$5$	−0.984808	−	0.173648i	−0.440419	−	0.0776578i
$6$	1.16246	+	1.28401i	0.474573	+	0.524195i
$7$	−1.76528	−	3.05755i	−0.667211	−	1.15564i	−0.978681	−	0.205388i	$-0.934154\pi$
$7$	−1.76528	−	3.05755i	−0.667211	−	1.15564i	0.311469	−	0.950256i	$-0.399179\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	2.88824	+	0.811224i	0.962746	+	0.270408i
$10$	0.642788	+	0.766044i	0.203267	+	0.242245i
$11$	−1.73713	−	1.00293i	−0.523765	−	0.302396i	0.214709	−	0.976678i	$-0.431120\pi$
$11$	−1.73713	−	1.00293i	−0.523765	−	0.302396i	−0.738474	+	0.674282i	$0.764453\pi$
$12$	−0.0651521	−	1.73083i	−0.0188078	−	0.499646i
$13$	1.02093	−	2.80499i	0.283156	−	0.777966i	−0.713825	−	0.700324i	$-0.753039\pi$
$13$	1.02093	−	2.80499i	0.283156	−	0.777966i	0.996981	−	0.0776415i	$-0.0247389\pi$
$14$	−0.613074	+	3.47691i	−0.163851	+	0.929244i
$15$	1.64873	+	0.530754i	0.425699	+	0.137040i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−1.11491	+	1.32870i	−0.270405	+	0.322257i	−0.884110	−	0.467279i	$-0.845234\pi$
$17$	−1.11491	+	1.32870i	−0.270405	+	0.322257i	0.613704	+	0.789536i	$0.289679\pi$
$18$	−1.69107	−	2.47796i	−0.398590	−	0.584060i
$19$	3.06461	+	3.09970i	0.703071	+	0.711120i
$19$	3.06461	+	3.09970i	0.703071	+	0.711120i
$20$		−	1.00000i		−	0.223607i
$21$	2.30616	+	5.66357i	0.503244	+	1.23589i
$22$	0.686047	+	1.88490i	0.146266	+	0.401862i
$23$	−5.29116	+	0.932973i	−1.10328	+	0.194538i	−0.695490	−	0.718536i	$-0.744812\pi$
$23$	−5.29116	+	0.932973i	−1.10328	+	0.194538i	−0.407793	+	0.913075i	$0.633701\pi$
$24$	−1.06264	+	1.36777i	−0.216911	+	0.279194i
$25$	0.939693	+	0.342020i	0.187939	+	0.0684040i
$26$	−2.58510	+	1.49251i	−0.506979	+	0.292705i
$27$	−4.76400	−	2.07469i	−0.916831	−	0.399275i
$28$	2.70456	−	2.26939i	0.511114	−	0.428875i
$29$	0.911019	−	0.764436i	0.169172	−	0.141952i	−0.554271	−	0.832336i	$-0.687003\pi$
$29$	0.911019	−	0.764436i	0.169172	−	0.141952i	0.723443	+	0.690384i	$0.242558\pi$
$30$	−0.921836	−	1.46636i	−0.168303	−	0.267720i
$31$	−8.56026	+	4.94227i	−1.53747	+	0.887657i	−0.538482	+	0.842637i	$0.681002\pi$
$31$	−8.56026	+	4.94227i	−1.53747	+	0.887657i	−0.998986	+	0.0450200i	$0.985665\pi$
$32$	0.939693	+	0.342020i	0.166116	+	0.0604612i
$33$	2.74356	+	2.13152i	0.477592	+	0.371050i
$34$	1.70814	−	0.301191i	0.292944	−	0.0516539i
$35$	1.20752	+	3.31763i	0.204108	+	0.560782i
$36$	−0.297363	+	2.98523i	−0.0495605	+	0.497538i
$37$			10.4669i			1.72075i	0.509662	+	0.860374i	$0.329770\pi$
$37$			10.4669i			1.72075i	−0.509662	+	0.860374i	$0.670230\pi$
$38$	−0.355181	−	4.34440i	−0.0576180	−	0.704755i
$39$	−2.41484	+	4.57159i	−0.386684	+	0.732040i
$40$	−0.642788	+	0.766044i	−0.101634	+	0.121122i
$41$	−0.105039	+	0.0382310i	−0.0164043	+	0.00597068i	−0.350209	−	0.936671i	$-0.613890\pi$
$41$	−0.105039	+	0.0382310i	−0.0164043	+	0.00597068i	0.333805	+	0.942642i	$0.391667\pi$
$42$	1.87385	−	5.82091i	0.289142	−	0.898187i
$43$	−0.416469	+	2.36191i	−0.0635109	+	0.360188i	0.936445	+	0.350814i	$0.114095\pi$
$43$	−0.416469	+	2.36191i	−0.0635109	+	0.360188i	−0.999956	+	0.00937415i	$0.997016\pi$
$44$	0.686047	−	1.88490i	0.103425	−	0.284159i
$45$	−2.70349	−	1.30044i	−0.403013	−	0.193858i
$46$	4.65296	+	2.68639i	0.686042	+	0.396087i
$47$	7.16564	+	8.53967i	1.04522	+	1.24564i	0.968612	+	0.248578i	$0.0799631\pi$
$47$	7.16564	+	8.53967i	1.04522	+	1.24564i	0.0766034	+	0.997062i	$0.475592\pi$
$48$	1.69322	−	0.364717i	0.244395	−	0.0526423i
$49$	−2.73240	+	4.73265i	−0.390342	+	0.676092i
$50$	−0.500000	−	0.866025i	−0.0707107	−	0.122474i
$51$	2.22710	−	2.01628i	0.311857	−	0.282336i
$52$	2.93966	+	0.518342i	0.407658	+	0.0718811i
$53$	−0.822673	−	4.66561i	−0.113003	−	0.640871i	−0.987720	−	0.156237i	$-0.950064\pi$
$53$	−0.822673	−	4.66561i	−0.113003	−	0.640871i	0.874717	−	0.484634i	$-0.161047\pi$
$54$	2.31585	+	4.65154i	0.315147	+	0.632995i
$55$	1.53658	+	1.28935i	0.207193	+	0.173855i
$56$	−3.53055			−0.471790
$57$	−4.52565	−	6.04305i	−0.599437	−	0.800422i
$58$	−1.18925			−0.156156
$59$	−4.67844	−	3.92568i	−0.609081	−	0.511080i	0.285269	−	0.958447i	$-0.407917\pi$
$59$	−4.67844	−	3.92568i	−0.609081	−	0.511080i	−0.894350	+	0.447368i	$0.852361\pi$
$60$	−0.236392	+	1.71584i	−0.0305181	+	0.221514i
$61$	2.27915	+	12.9257i	0.291815	+	1.65497i	0.679872	+	0.733331i	$0.262035\pi$
$61$	2.27915	+	12.9257i	0.291815	+	1.65497i	−0.388057	+	0.921635i	$0.626854\pi$
$62$	9.73437	+	1.71643i	1.23627	+	0.217987i
$63$	−2.61818	−	10.2630i	−0.329859	−	1.29301i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−1.49251	+	2.58510i	−0.185123	+	0.320642i
$66$	−0.731573	−	3.39637i	−0.0900504	−	0.418064i
$67$	−7.85403	−	9.36006i	−0.959522	−	1.14351i	−0.989583	−	0.143966i	$-0.954015\pi$
$67$	−7.85403	−	9.36006i	−0.959522	−	1.14351i	0.0300608	−	0.999548i	$-0.490430\pi$
$68$	−1.50211	−	0.867246i	−0.182158	−	0.105169i
$69$	9.29934	−	0.350048i	1.11951	−	0.0421408i
$70$	1.20752	−	3.31763i	0.144326	−	0.396533i
$71$	−1.46455	+	8.30588i	−0.173810	+	0.985727i	0.765698	+	0.643200i	$0.222394\pi$
$71$	−1.46455	+	8.30588i	−0.173810	+	0.985727i	−0.939508	+	0.342526i	$0.888717\pi$
$72$	2.14666	−	2.09567i	0.252986	−	0.246978i
$73$	8.07735	−	2.93991i	0.945382	−	0.344091i	0.177093	−	0.984194i	$-0.443331\pi$
$73$	8.07735	−	2.93991i	0.945382	−	0.344091i	0.768289	+	0.640103i	$0.221108\pi$
$74$	6.72800	−	8.01812i	0.782114	−	0.932087i
$75$	−1.53151	−	0.808989i	−0.176844	−	0.0934140i
$76$	−2.52044	+	3.55631i	−0.289115	+	0.407937i
$77$			7.08181i			0.807047i
$78$	4.78844	−	1.94981i	0.542184	−	0.220773i
$79$	−0.0281290	−	0.0772837i	−0.00316476	−	0.00869510i	0.938100	−	0.346364i	$-0.112584\pi$
$79$	−0.0281290	−	0.0772837i	−0.00316476	−	0.00869510i	−0.941265	+	0.337669i	$0.890362\pi$
$80$	0.984808	−	0.173648i	0.110105	−	0.0194145i
$81$	7.68383	+	4.68602i	0.853759	+	0.520669i
$82$	0.105039	+	0.0382310i	0.0115996	+	0.00422191i
$83$	3.64183	−	2.10261i	0.399743	−	0.230792i	−0.286630	−	0.958041i	$-0.592535\pi$
$83$	3.64183	−	2.10261i	0.399743	−	0.230792i	0.686373	+	0.727250i	$0.259202\pi$
$84$	−5.17707	+	3.25459i	−0.564864	+	0.355105i
$85$	1.32870	−	1.11491i	0.144118	−	0.120929i
$86$	1.83724	−	1.54163i	0.198115	−	0.166238i
$87$	−1.74387	+	1.09629i	−0.186963	+	0.117535i
$88$	−1.73713	+	1.00293i	−0.185179	+	0.106913i
$89$	−2.23621	−	0.813913i	−0.237038	−	0.0862746i	0.220770	−	0.975326i	$-0.429143\pi$
$89$	−2.23621	−	0.813913i	−0.237038	−	0.0862746i	−0.457808	+	0.889051i	$0.651365\pi$
$90$	1.23509	+	2.73396i	0.130190	+	0.288185i
$91$	−10.3786	+	1.83003i	−1.08798	+	0.191840i
$92$	−1.83760	−	5.04876i	−0.191583	−	0.526370i
$93$	15.8564	−	6.45658i	1.64423	−	0.669516i
$94$		−	11.1478i		−	1.14980i
$95$	−2.47980	−	3.58477i	−0.254422	−	0.367790i
$96$	−1.53151	−	0.808989i	−0.156310	−	0.0825671i
$97$	−9.13273	+	10.8840i	−0.927288	+	1.10510i	0.0669343	+	0.997757i	$0.478678\pi$
$97$	−9.13273	+	10.8840i	−0.927288	+	1.10510i	−0.994222	+	0.107341i	$0.965766\pi$
$98$	5.13522	−	1.86907i	0.518736	−	0.188804i
$99$	−4.20364	−	4.30591i	−0.422482	−	0.432760i
$100$	−0.173648	+	0.984808i	−0.0173648	+	0.0984808i
$101$	2.03994	−	5.60468i	0.202981	−	0.557687i	−0.795877	−	0.605458i	$-0.792990\pi$
$101$	2.03994	−	5.60468i	0.202981	−	0.557687i	0.998858	+	0.0477718i	$0.0152120\pi$
$102$	−3.00210	+	0.113006i	−0.297252	+	0.0111892i
$103$	−2.02009	−	1.16630i	−0.199045	−	0.114919i	0.397165	−	0.917747i	$-0.369994\pi$
$103$	−2.02009	−	1.16630i	−0.199045	−	0.114919i	−0.596210	+	0.802829i	$0.703327\pi$
$104$	−1.91873	−	2.28665i	−0.188147	−	0.224225i
$105$	−1.28765	−	5.97799i	−0.125662	−	0.583392i
$106$	−2.36879	+	4.10287i	−0.230077	+	0.398506i
$107$	−4.89776	−	8.48317i	−0.473484	−	0.820099i	0.526055	−	0.850451i	$-0.323671\pi$
$107$	−4.89776	−	8.48317i	−0.473484	−	0.820099i	−0.999539	+	0.0303515i	$0.990337\pi$
$108$	1.21591	−	5.05189i	0.117001	−	0.486118i
$109$	−3.99903	−	0.705137i	−0.383038	−	0.0675399i	−0.0211861	−	0.999776i	$-0.506744\pi$
$109$	−3.99903	−	0.705137i	−0.383038	−	0.0675399i	−0.361852	+	0.932236i	$0.617855\pi$
$110$	−0.348315	−	1.97539i	−0.0332105	−	0.188346i
$111$	2.47430	−	17.9596i	0.234850	−	1.70465i
$112$	2.70456	+	2.26939i	0.255557	+	0.214438i
$113$	−11.9339			−1.12265			−0.561324	−	0.827596i	$-0.689708\pi$
$113$	−11.9339			−1.12265			−0.561324	+	0.827596i	$0.689708\pi$
$114$	−0.417549	+	7.53828i	−0.0391070	+	0.706025i
$115$	5.37278			0.501014
$116$	0.911019	+	0.764436i	0.0845860	+	0.0709761i
$117$	5.22418	−	7.27328i	0.482976	−	0.672415i
$118$	1.06052	+	6.01449i	0.0976284	+	0.553678i
$119$	6.03068	+	1.06337i	0.552831	+	0.0974791i
$120$	1.28401	−	1.16246i	0.117214	−	0.106118i
$121$	−3.48825	−	6.04183i	−0.317114	−	0.549257i
$122$	6.56255	−	11.3667i	0.594145	−	1.02909i
$123$	0.189268	−	0.0407680i	0.0170657	−	0.00367593i
$124$	−6.35366	−	7.57199i	−0.570575	−	0.679985i
$125$	−0.866025	−	0.500000i	−0.0774597	−	0.0447214i
$126$	−4.59126	+	9.54481i	−0.409022	+	0.850319i
$127$	−4.22790	+	11.6161i	−0.375165	+	1.03076i	0.598170	+	0.801370i	$0.295895\pi$
$127$	−4.22790	+	11.6161i	−0.375165	+	1.03076i	−0.973335	+	0.229389i	$0.926327\pi$
$128$	−0.173648	+	0.984808i	−0.0153485	+	0.0870455i
$129$	1.27293	−	3.95422i	0.112075	−	0.348150i
$130$	2.80499	−	1.02093i	0.246014	−	0.0895419i
$131$	12.1625	−	14.4947i	1.06264	−	1.26641i	0.100184	−	0.994969i	$-0.468057\pi$
$131$	12.1625	−	14.4947i	1.06264	−	1.26641i	0.962456	−	0.271437i	$-0.0874987\pi$
$132$	−1.62272	+	3.07201i	−0.141240	+	0.267384i
$133$	4.06759	−	14.8420i	0.352705	−	1.28697i
$134$			12.2187i			1.05553i
$135$	4.33135	+	2.87043i	0.372784	+	0.247047i
$136$	0.593231	+	1.62989i	0.0508691	+	0.139762i
$137$	−16.1053	+	2.83980i	−1.37597	+	0.242621i	−0.812232	−	0.583334i	$-0.801748\pi$
$137$	−16.1053	+	2.83980i	−1.37597	+	0.242621i	−0.563737	+	0.825954i	$0.690637\pi$
$138$	−7.34872	−	5.70935i	−0.625564	−	0.486012i
$139$	−8.10592	−	2.95031i	−0.687535	−	0.250242i	−0.0254557	−	0.999676i	$-0.508104\pi$
$139$	−8.10592	−	2.95031i	−0.687535	−	0.250242i	−0.662080	+	0.749434i	$0.730326\pi$
$140$	−3.05755	+	1.76528i	−0.258410	+	0.149193i
$141$	−10.2764	−	16.3466i	−0.865429	−	1.37664i
$142$	6.46083	−	5.42128i	0.542181	−	0.454944i
$143$	−4.58672	+	3.84871i	−0.383561	+	0.321846i
$144$	−2.99151	+	0.225534i	−0.249293	+	0.0187945i
$145$	−1.02992	+	0.594626i	−0.0855304	+	0.0493810i
$146$	−8.07735	−	2.93991i	−0.668486	−	0.243309i
$147$	5.80712	−	7.47456i	0.478963	−	0.616492i
$148$	−10.3079	+	1.81756i	−0.847303	+	0.149402i
$149$	0.695103	+	1.90978i	0.0569450	+	0.156455i	0.964903	−	0.262605i	$-0.0845817\pi$
$149$	0.695103	+	1.90978i	0.0569450	+	0.156455i	−0.907958	+	0.419061i	$0.862359\pi$
$150$	0.653200	+	1.60416i	0.0533336	+	0.130979i
$151$		−	14.8669i		−	1.20985i	−0.796282	−	0.604926i	$-0.793203\pi$
$151$		−	14.8669i		−	1.20985i	0.796282	−	0.604926i	$-0.206797\pi$
$152$	4.21673	−	1.10418i	0.342022	−	0.0895611i
$153$	−4.29800	+	2.93315i	−0.347472	+	0.237131i
$154$	4.55210	−	5.42498i	0.366819	−	0.437158i
$155$	9.28842	−	3.38071i	0.746064	−	0.271545i
$156$	−4.92147	−	1.58431i	−0.394033	−	0.126846i
$157$	−2.65735	+	15.0706i	−0.212079	+	1.20276i	0.673824	+	0.738892i	$0.264650\pi$
$157$	−2.65735	+	15.0706i	−0.212079	+	1.20276i	−0.885904	+	0.463870i	$0.846461\pi$
$158$	−0.0281290	+	0.0772837i	−0.00223782	+	0.00614836i
$159$	0.308664	+	8.19993i	0.0244786	+	0.650297i
$160$	−0.866025	−	0.500000i	−0.0684653	−	0.0395285i
$161$	12.1930	+	14.5310i	0.960940	+	1.14520i
$162$	−2.87404	−	8.52877i	−0.225806	−	0.670083i
$163$	10.6699	−	18.4808i	0.835730	−	1.44753i	−0.0577053	−	0.998334i	$-0.518378\pi$
$163$	10.6699	−	18.4808i	0.835730	−	1.44753i	0.893435	−	0.449193i	$-0.148288\pi$
$164$	−0.0558900	−	0.0968043i	−0.00436427	−	0.00755914i
$165$	−2.33174	−	2.57555i	−0.181526	−	0.200506i
$166$	−4.14134	−	0.730230i	−0.321430	−	0.0566768i
$167$	2.51708	+	14.2751i	0.194777	+	1.10464i	0.912736	+	0.408551i	$0.133966\pi$
$167$	2.51708	+	14.2751i	0.194777	+	1.10464i	−0.717958	+	0.696086i	$0.754923\pi$
$168$	6.05787	+	0.834595i	0.467375	+	0.0643904i
$169$	3.13289	+	2.62881i	0.240992	+	0.202216i
$170$	−1.73449			−0.133029
$171$	6.33678	+	11.4388i	0.484586	+	0.874744i
$172$	−2.39835			−0.182872
$173$	5.94610	+	4.98937i	0.452074	+	0.379335i	0.840205	−	0.542269i	$-0.182435\pi$
$173$	5.94610	+	4.98937i	0.452074	+	0.379335i	−0.388131	+	0.921604i	$0.626879\pi$
$174$	2.04057	+	0.281130i	0.154695	+	0.0213124i
$175$	−0.613074	−	3.47691i	−0.0463440	−	0.262830i
$176$	1.97539	+	0.348315i	0.148901	+	0.0262552i
$177$	7.09947	+	7.84179i	0.533629	+	0.589425i
$178$	1.18986	+	2.06090i	0.0891839	+	0.154471i
$179$	3.62451	−	6.27783i	0.270908	−	0.469227i	−0.698186	−	0.715916i	$-0.746009\pi$
$179$	3.62451	−	6.27783i	0.270908	−	0.469227i	0.969095	+	0.246689i	$0.0793427\pi$
$180$	0.811224	−	2.88824i	0.0604651	−	0.215276i
$181$	−1.00462	−	1.19726i	−0.0746726	−	0.0889914i	0.727415	−	0.686198i	$-0.240722\pi$
$181$	−1.00462	−	1.19726i	−0.0746726	−	0.0889914i	−0.802087	+	0.597207i	$0.796277\pi$
$182$	9.12682	+	5.26937i	0.676525	+	0.390592i
$183$	−0.855127	−	22.7172i	−0.0632128	−	1.67931i
$184$	−1.83760	+	5.04876i	−0.135470	+	0.372200i
$185$	1.81756	−	10.3079i	0.133630	−	0.757851i
$186$	−16.2969	−	5.24626i	−1.19495	−	0.384674i
$187$	3.26934	−	1.18994i	0.239078	−	0.0870172i
$188$	−7.16564	+	8.53967i	−0.522608	+	0.622820i
$189$	2.06630	+	18.2285i	0.150301	+	1.32593i
$190$	−0.404613	+	4.34008i	−0.0293537	+	0.314862i
$191$			23.8551i			1.72609i	0.505123	+	0.863047i	$0.331447\pi$
$191$			23.8551i			1.72609i	−0.505123	+	0.863047i	$0.668553\pi$
$192$	0.653200	+	1.60416i	0.0471406	+	0.115770i
$193$	−0.514187	−	1.41272i	−0.0370120	−	0.101690i	0.919810	−	0.392364i	$-0.128343\pi$
$193$	−0.514187	−	1.41272i	−0.0370120	−	0.101690i	−0.956822	+	0.290674i	$0.906120\pi$
$194$	13.9921	−	2.46719i	1.00458	−	0.177134i
$195$	3.17200	−	4.08280i	0.227152	−	0.292376i
$196$	−5.13522	−	1.86907i	−0.366802	−	0.133505i
$197$	14.6559	−	8.46158i	1.04419	−	0.602863i	0.123172	−	0.992385i	$-0.460693\pi$
$197$	14.6559	−	8.46158i	1.04419	−	0.602863i	0.921017	+	0.389522i	$0.127360\pi$
$198$	0.452390	+	6.00057i	0.0321500	+	0.426442i
$199$	−8.62215	+	7.23485i	−0.611208	+	0.512865i	−0.895026	−	0.446014i	$-0.852843\pi$
$199$	−8.62215	+	7.23485i	−0.611208	+	0.512865i	0.283818	+	0.958878i	$0.408399\pi$
$200$	0.766044	−	0.642788i	0.0541675	−	0.0454519i
$201$	11.2636	+	17.9170i	0.794475	+	1.26377i
$202$	−5.16530	+	2.98219i	−0.363429	+	0.209826i
$203$	−3.94550	−	1.43604i	−0.276920	−	0.100791i
$204$	2.37238	+	1.84315i	0.166100	+	0.129046i
$205$	0.110082	−	0.0194104i	0.00768844	−	0.00135568i
$206$	0.797794	+	2.19192i	0.0555850	+	0.152718i
$207$	−16.0390	−	1.59767i	−1.11479	−	0.111045i
$208$			2.98501i			0.206973i
$209$	−2.21484	−	8.45819i	−0.153204	−	0.585065i
$210$	−2.85618	+	5.40709i	−0.197095	+	0.373125i
$211$	−1.60013	+	1.90697i	−0.110158	+	0.131281i	−0.818306	−	0.574783i	$-0.805086\pi$
$211$	−1.60013	+	1.90697i	−0.110158	+	0.131281i	0.708148	+	0.706064i	$0.249531\pi$
$212$	4.45187	−	1.62035i	0.305756	−	0.111286i
$213$	4.47639	−	13.9054i	0.306717	−	0.952781i
$214$	−1.70097	+	9.64671i	−0.116276	+	0.659435i
$215$	0.820283	−	2.25371i	0.0559428	−	0.153702i
$216$	−4.17873	+	3.08840i	−0.284327	+	0.210139i
$217$	30.2224	+	17.4489i	2.05163	+	1.18451i
$218$	2.61018	+	3.11069i	0.176784	+	0.210683i
$219$	−14.5544	+	3.13501i	−0.983498	+	0.211844i
$220$	−1.00293	+	1.73713i	−0.0676177	+	0.117117i
$221$	2.58874	+	4.48383i	0.174138	+	0.301615i
$222$	−13.4396	+	12.1674i	−0.902008	+	0.816621i
$223$	0.0396153	+	0.00698525i	0.00265284	+	0.000467767i	0.174974	−	0.984573i	$-0.444016\pi$
$223$	0.0396153	+	0.00698525i	0.00265284	+	0.000467767i	−0.172322	+	0.985041i	$0.555127\pi$
$224$	−0.613074	−	3.47691i	−0.0409627	−	0.232311i
$225$	2.43660	+	1.75014i	0.162440	+	0.116676i
$226$	9.14191	+	7.67098i	0.608111	+	0.510266i
$227$	−29.5392			−1.96059			−0.980294	−	0.197545i	$-0.936703\pi$
$227$	−29.5392			−1.96059			−0.980294	+	0.197545i	$0.936703\pi$
$228$	5.16537	−	5.50626i	0.342085	−	0.364661i
$229$	2.29382			0.151580			0.0757901	−	0.997124i	$-0.475852\pi$
$229$	2.29382			0.151580			0.0757901	+	0.997124i	$0.475852\pi$
$230$	−4.11579	−	3.45356i	−0.271387	−	0.227721i
$231$	1.67409	−	12.1513i	0.110147	−	0.799496i
$232$	−0.206511	−	1.17118i	−0.0135581	−	0.0768920i
$233$	−21.4263	−	3.77803i	−1.40368	−	0.247507i	−0.580027	−	0.814597i	$-0.696958\pi$
$233$	−21.4263	−	3.77803i	−1.40368	−	0.247507i	−0.823656	+	0.567090i	$0.808069\pi$
$234$	−8.67713	+	2.21362i	−0.567242	+	0.144709i
$235$	−5.57388	−	9.65423i	−0.363600	−	0.629773i
$236$	3.05363	−	5.28905i	0.198775	−	0.344288i
$237$	0.0299956	+	0.139256i	0.00194843	+	0.00904567i
$238$	−3.93625	−	4.69104i	−0.255149	−	0.304075i
$239$	−6.74538	−	3.89445i	−0.436322	−	0.251911i	0.265714	−	0.964052i	$-0.414392\pi$
$239$	−6.74538	−	3.89445i	−0.436322	−	0.251911i	−0.702036	+	0.712141i	$0.747726\pi$
$240$	−1.73083	+	0.0651521i	−0.111724	+	0.00420555i
$241$	1.29698	−	3.56343i	0.0835461	−	0.229541i	−0.890884	−	0.454230i	$-0.849914\pi$
$241$	1.29698	−	3.56343i	0.0835461	−	0.229541i	0.974431	+	0.224689i	$0.0721366\pi$
$242$	−1.21146	+	6.87051i	−0.0778754	+	0.441653i
$243$	−12.0765	−	9.85687i	−0.774708	−	0.632319i
$244$	−12.3336	+	4.48905i	−0.789575	+	0.287382i
$245$	3.51270	−	4.18627i	0.224418	−	0.267451i
$246$	−0.171193	−	0.0904287i	−0.0109148	−	0.00576553i
$247$	11.8234	−	5.43163i	0.752306	−	0.345607i
$248$			9.88453i			0.627669i
$249$	−6.74586	+	2.74685i	−0.427501	+	0.174075i
$250$	0.342020	+	0.939693i	0.0216313	+	0.0594314i
$251$	3.98153	−	0.702051i	0.251312	−	0.0443130i	−0.0465730	−	0.998915i	$-0.514830\pi$
$251$	3.98153	−	0.702051i	0.251312	−	0.0443130i	0.297885	+	0.954602i	$0.403719\pi$
$252$	9.65240	−	4.36055i	0.608044	−	0.274689i
$253$	10.1271	+	3.68598i	0.636688	+	0.231735i
$254$	10.7054	−	6.18077i	0.671717	−	0.387816i
$255$	−2.54339	+	1.59892i	−0.159273	+	0.100128i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−7.21369	+	6.05300i	−0.449977	+	0.377576i	−0.839427	−	0.543472i	$-0.817110\pi$
$257$	−7.21369	+	6.05300i	−0.449977	+	0.377576i	0.389450	+	0.921048i	$0.372665\pi$
$258$	−3.51685	+	2.21088i	−0.218949	+	0.137644i
$259$	32.0031	−	18.4770i	1.98857	−	1.14810i
$260$	−2.80499	−	1.02093i	−0.173958	−	0.0633157i
$261$	3.25137	−	1.46883i	0.201255	−	0.0909184i
$262$	−18.6340	+	3.28568i	−1.15121	+	0.202990i
$263$	5.78288	+	15.8883i	0.356588	+	0.979717i	0.980205	+	0.197987i	$0.0634403\pi$
$263$	5.78288	+	15.8883i	0.356588	+	0.979717i	−0.623617	+	0.781730i	$0.714337\pi$
$264$	3.21773	−	1.31023i	0.198038	−	0.0806392i
$265$			4.73759i			0.291028i
$266$	−12.6562	+	8.75505i	−0.776003	+	0.536807i
$267$	3.64458	+	1.92517i	0.223045	+	0.117819i
$268$	7.85403	−	9.36006i	0.479761	−	0.571757i
$269$	12.8892	−	4.69127i	0.785866	−	0.286032i	0.0822493	−	0.996612i	$-0.473790\pi$
$269$	12.8892	−	4.69127i	0.785866	−	0.286032i	0.703616	+	0.710580i	$0.251567\pi$
$270$	−1.47293	−	4.98302i	−0.0896398	−	0.303257i
$271$	0.0674796	−	0.382696i	0.00409909	−	0.0232471i	−0.982690	−	0.185260i	$-0.940687\pi$
$271$	0.0674796	−	0.382696i	0.00409909	−	0.0232471i	0.986789	+	0.162013i	$0.0517985\pi$
$272$	0.593231	−	1.62989i	0.0359699	−	0.0988265i
$273$	18.2407	−	0.686621i	1.10398	−	0.0415562i
$274$	14.1628	+	8.17688i	0.855604	+	0.493983i
$275$	−1.28935	−	1.53658i	−0.0777505	−	0.0926594i
$276$	1.95954	+	9.09728i	0.117951	+	0.547592i
$277$	2.62142	−	4.54043i	0.157506	−	0.272808i	−0.776463	−	0.630163i	$-0.782988\pi$
$277$	2.62142	−	4.54043i	0.157506	−	0.272808i	0.933969	+	0.357355i	$0.116321\pi$
$278$	4.31307	+	7.47046i	0.258681	+	0.448048i
$279$	−28.7333	+	7.33015i	−1.72022	+	0.438845i
$280$	3.47691	+	0.613074i	0.207785	+	0.0366382i
$281$	−2.12401	−	12.0459i	−0.126708	−	0.718596i	−0.980279	−	0.197619i	$-0.936679\pi$
$281$	−2.12401	−	12.0459i	−0.126708	−	0.718596i	0.853571	−	0.520976i	$-0.174432\pi$
$282$	−2.63524	+	19.1278i	−0.156926	+	1.13904i
$283$	8.61058	+	7.22514i	0.511846	+	0.429490i	0.861778	−	0.507285i	$-0.169351\pi$
$283$	8.61058	+	7.22514i	0.511846	+	0.429490i	−0.349932	+	0.936775i	$0.613795\pi$
$284$	−8.43401			−0.500467
$285$	3.40753	+	6.73712i	0.201845	+	0.399072i
$286$	5.98754			0.354050
$287$	0.302315	+	0.253673i	0.0178451	+	0.0149738i
$288$	2.43660	+	1.75014i	0.143578	+	0.103128i
$289$	2.42961	+	13.7790i	0.142918	+	0.810528i
$290$	1.17118	+	0.206511i	0.0687743	+	0.0121268i
$291$	18.2432	−	16.5163i	1.06944	−	0.968201i
$292$	4.29787	+	7.44412i	0.251514	+	0.435634i
$293$	−16.1055	+	27.8955i	−0.940892	+	1.62967i	−0.177118	+	0.984190i	$0.556677\pi$
$293$	−16.1055	+	27.8955i	−0.940892	+	1.62967i	−0.763774	+	0.645483i	$0.776656\pi$
$294$	−9.25307	+	1.99310i	−0.539650	+	0.116240i
$295$	3.92568	+	4.67844i	0.228562	+	0.272389i
$296$	9.06461	+	5.23345i	0.526870	+	0.304188i
$297$	6.19491	+	8.38198i	0.359465	+	0.486372i
$298$	0.695103	−	1.90978i	0.0402662	−	0.110631i
$299$	−2.78494	+	15.7942i	−0.161057	+	0.913400i
$300$	0.530754	−	1.64873i	0.0306431	−	0.0951893i
$301$	7.95684	−	2.89605i	0.458624	−	0.166926i
$302$	−9.55626	+	11.3887i	−0.549901	+	0.655346i
$303$	−4.82512	+	9.13453i	−0.277196	+	0.524765i
$304$	−3.93995	−	1.86461i	−0.225972	−	0.106943i
$305$		−	13.1251i		−	0.751541i
$306$	5.17785	+	0.515774i	0.295998	+	0.0294848i
$307$	8.75173	+	24.0452i	0.499488	+	1.37233i	0.891771	+	0.452487i	$0.149463\pi$
$307$	8.75173	+	24.0452i	0.499488	+	1.37233i	−0.392283	+	0.919845i	$0.628315\pi$
$308$	−6.97422	+	1.22974i	−0.397393	+	0.0700712i
$309$	3.19045	+	2.47872i	0.181498	+	0.141009i
$310$	−9.28842	−	3.38071i	−0.527547	−	0.192011i
$311$	−12.2630	+	7.08005i	−0.695371	+	0.401473i	−0.805621	−	0.592431i	$-0.798168\pi$
$311$	−12.2630	+	7.08005i	−0.695371	+	0.401473i	0.110250	+	0.993904i	$0.464835\pi$
$312$	2.75169	+	4.37711i	0.155784	+	0.247805i
$313$	16.0592	−	13.4753i	0.907721	−	0.761669i	−0.0639627	−	0.997952i	$-0.520374\pi$
$313$	16.0592	−	13.4753i	0.907721	−	0.761669i	0.971684	+	0.236284i	$0.0759294\pi$
$314$	11.7228	−	9.83661i	0.661556	−	0.555112i
$315$	0.796258	+	10.5617i	0.0448641	+	0.595083i
$316$	0.0712251	−	0.0411218i	0.00400672	−	0.00231328i
$317$	−14.2060	−	5.17057i	−0.797890	−	0.290408i	−0.0892783	−	0.996007i	$-0.528456\pi$
$317$	−14.2060	−	5.17057i	−0.797890	−	0.290408i	−0.708612	+	0.705598i	$0.750678\pi$
$318$	5.03436	−	6.47992i	0.282313	−	0.363376i
$319$	−2.34924	+	0.414234i	−0.131532	+	0.0231927i
$320$	0.342020	+	0.939693i	0.0191195	+	0.0525304i
$321$	6.39844	+	15.7136i	0.357126	+	0.877047i
$322$		−	18.9689i		−	1.05709i
$323$	−7.53533	+	0.616059i	−0.419277	+	0.0342784i
$324$	−3.28054	+	8.38081i	−0.182252	+	0.465601i
$325$	1.91873	−	2.28665i	0.106432	−	0.126841i
$326$	−20.0528	+	7.29863i	−1.11062	+	0.404234i
$327$	6.69502	+	2.15525i	0.370236	+	0.119185i
$328$	−0.0194104	+	0.110082i	−0.00107176	+	0.00607825i
$329$	13.4611	−	36.9841i	0.742136	−	2.03900i
$330$	0.130686	+	3.47180i	0.00719405	+	0.191116i
$331$	−21.4406	−	12.3787i	−1.17848	−	0.680397i	−0.222820	−	0.974860i	$-0.571526\pi$
$331$	−21.4406	−	12.3787i	−1.17848	−	0.680397i	−0.955663	+	0.294462i	$0.904859\pi$
$332$	2.70307	+	3.22139i	0.148350	+	0.176797i
$333$	−8.49101	+	30.2309i	−0.465305	+	1.65664i
$334$	7.24763	−	12.5533i	0.396573	−	0.686884i
$335$	6.10935	+	10.5817i	0.333789	+	0.578140i
$336$	−4.10413	−	4.53326i	−0.223899	−	0.247310i
$337$	−11.6705	−	2.05783i	−0.635734	−	0.112097i	−0.153513	−	0.988147i	$-0.549059\pi$
$337$	−11.6705	−	2.05783i	−0.635734	−	0.112097i	−0.482221	+	0.876050i	$0.660170\pi$
$338$	−0.710169	−	4.02757i	−0.0386281	−	0.219071i
$339$	20.4767	+	2.82109i	1.11214	+	0.153220i
$340$	1.32870	+	1.11491i	0.0720588	+	0.0604645i
$341$	19.8271			1.07370
$342$	2.49844	−	12.8358i	0.135100	−	0.694081i
$343$	−5.42014			−0.292660
$344$	1.83724	+	1.54163i	0.0990574	+	0.0831190i
$345$	−9.21885	−	1.27008i	−0.496326	−	0.0683790i
$346$	−1.34787	−	7.64416i	−0.0724620	−	0.410953i
$347$	−8.93968	−	1.57631i	−0.479907	−	0.0846206i	−0.0715388	−	0.997438i	$-0.522791\pi$
$347$	−8.93968	−	1.57631i	−0.479907	−	0.0846206i	−0.408368	+	0.912817i	$0.633902\pi$
$348$	−1.38246	−	1.52701i	−0.0741076	−	0.0818564i
$349$	−14.9243	−	25.8497i	−0.798882	−	1.38370i	−0.920345	−	0.391108i	$-0.872092\pi$
$349$	−14.9243	−	25.8497i	−0.798882	−	1.38370i	0.121463	−	0.992596i	$-0.461241\pi$
$350$	−1.76528	+	3.05755i	−0.0943579	+	0.163433i
$351$	−10.6832	+	11.2449i	−0.570228	+	0.600206i
$352$	−1.28935	−	1.53658i	−0.0687224	−	0.0819001i
$353$	11.2922	+	6.51956i	0.601024	+	0.347001i	0.769444	−	0.638714i	$-0.220533\pi$
$353$	11.2922	+	6.51956i	0.601024	+	0.347001i	−0.168420	+	0.985715i	$0.553867\pi$
$354$	−0.397901	−	10.5706i	−0.0211482	−	0.561822i
$355$	2.88460	−	7.92538i	0.153099	−	0.420635i
$356$	0.413235	−	2.34357i	0.0219014	−	0.124209i
$357$	−10.0963	−	3.25018i	−0.534354	−	0.172018i
$358$	−6.81184	+	2.47931i	−0.360017	+	0.131036i
$359$	−13.8778	+	16.5389i	−0.732441	+	0.872889i	−0.995776	−	0.0918153i	$-0.970733\pi$
$359$	−13.8778	+	16.5389i	−0.732441	+	0.872889i	0.263335	+	0.964704i	$0.415178\pi$
$360$	−2.47796	+	1.69107i	−0.130600	+	0.0891274i
$361$	−0.216288	+	18.9988i	−0.0113836	+	0.999935i
$362$			1.56291i			0.0821446i
$363$	4.55705	+	11.1914i	0.239183	+	0.587397i
$364$	−3.60446	−	9.90318i	−0.188925	−	0.519067i
$365$	−8.46515	+	1.49263i	−0.443086	+	0.0781280i
$366$	−13.9473	+	17.9521i	−0.729037	+	0.938371i
$367$	−28.0506	−	10.2096i	−1.46423	−	0.532936i	−0.517703	−	0.855560i	$-0.673213\pi$
$367$	−28.0506	−	10.2096i	−1.46423	−	0.532936i	−0.946527	+	0.322624i	$0.895435\pi$
$368$	4.65296	−	2.68639i	0.242553	−	0.140038i
$369$	−0.334391	+	0.0252101i	−0.0174077	+	0.00131239i
$370$	−8.01812	+	6.72800i	−0.416842	+	0.349772i
$371$	−12.8131	+	10.7514i	−0.665222	+	0.558187i
$372$	9.11192	+	14.4943i	0.472431	+	0.751495i
$373$	−1.47481	+	0.851482i	−0.0763628	+	0.0440881i	−0.537695	−	0.843139i	$-0.680705\pi$
$373$	−1.47481	+	0.851482i	−0.0763628	+	0.0440881i	0.461332	+	0.887227i	$0.347372\pi$
$374$	−3.26934	−	1.18994i	−0.169054	−	0.0615305i
$375$	1.36777	+	1.06264i	0.0706312	+	0.0548747i
$376$	10.9784	−	1.93579i	0.566167	−	0.0998306i
$377$	−1.21415	−	3.33584i	−0.0625318	−	0.171805i
$378$	10.1342	−	15.2921i	0.521247	−	0.786539i
$379$		−	18.9824i		−	0.975060i	−0.873106	−	0.487530i	$-0.837898\pi$
$379$		−	18.9824i		−	0.975060i	0.873106	−	0.487530i	$-0.162102\pi$
$380$	3.09970	−	3.06461i	0.159011	−	0.157211i
$381$	10.0004	−	18.9319i	0.512334	−	0.969910i
$382$	15.3338	−	18.2741i	0.784544	−	0.934983i
$383$	32.7045	−	11.9035i	1.67112	−	0.608238i	0.679070	−	0.734074i	$-0.262383\pi$
$383$	32.7045	−	11.9035i	1.67112	−	0.608238i	0.992051	+	0.125836i	$0.0401612\pi$
$384$	0.530754	−	1.64873i	0.0270849	−	0.0841362i
$385$	1.22974	−	6.97422i	0.0626736	−	0.355439i
$386$	−0.514187	+	1.41272i	−0.0261714	+	0.0719055i
$387$	−3.11890	+	6.48391i	−0.158543	+	0.329596i
$388$	−12.3045	−	7.10400i	−0.624666	−	0.360651i
$389$	−11.1901	−	13.3358i	−0.567360	−	0.676153i	0.403727	−	0.914879i	$-0.367715\pi$
$389$	−11.1901	−	13.3358i	−0.567360	−	0.676153i	−0.971087	+	0.238726i	$0.923270\pi$
$390$	−5.05427	+	1.08868i	−0.255933	+	0.0551277i
$391$	4.65952	−	8.07053i	0.235642	−	0.408144i
$392$	2.73240	+	4.73265i	0.138007	+	0.239035i
$393$	−24.2953	+	21.9955i	−1.22554	+	1.10952i
$394$	−16.6661	−	2.93868i	−0.839624	−	0.148048i
$395$	0.0142815	+	0.0809942i	0.000718578	+	0.00407526i
$396$	3.51054	−	4.88749i	0.176411	−	0.245606i
$397$	−8.05372	−	6.75787i	−0.404205	−	0.339168i	0.417912	−	0.908488i	$-0.362762\pi$
$397$	−8.05372	−	6.75787i	−0.404205	−	0.339168i	−0.822116	+	0.569320i	$0.807207\pi$
$398$	11.2554			0.564183
$399$	−10.4879	+	24.5050i	−0.525051	+	1.22679i
$400$	−1.00000			−0.0500000
$401$	8.98309	+	7.53771i	0.448594	+	0.376415i	0.838914	−	0.544264i	$-0.183191\pi$
$401$	8.98309	+	7.53771i	0.448594	+	0.376415i	−0.390320	+	0.920679i	$0.627636\pi$
$402$	2.88841	−	20.9654i	0.144061	−	1.04566i
$403$	5.12357	+	29.0572i	0.255223	+	1.44744i
$404$	5.87376	+	1.03570i	0.292231	+	0.0515282i
$405$	−6.75338	−	5.94911i	−0.335578	−	0.295614i
$406$	2.09936	+	3.63619i	0.104189	+	0.180461i
$407$	10.4976	−	18.1824i	0.520347	−	0.901268i
$408$	−0.632598	−	2.93687i	−0.0313183	−	0.145397i
$409$	−11.5635	−	13.7808i	−0.571777	−	0.681418i	0.400217	−	0.916420i	$-0.368935\pi$
$409$	−11.5635	−	13.7808i	−0.571777	−	0.681418i	−0.971995	+	0.235003i	$0.924490\pi$
$410$	−0.0968043	−	0.0558900i	−0.00478082	−	0.00276021i
$411$	28.3055	−	1.06548i	1.39621	−	0.0525563i
$412$	0.797794	−	2.19192i	0.0393045	−	0.107988i
$413$	−3.74421	+	21.2344i	−0.184240	+	1.04488i
$414$	11.2596	+	11.5335i	0.553379	+	0.566842i
$415$	−3.95162	+	1.43827i	−0.193977	+	0.0706020i
$416$	1.91873	−	2.28665i	0.0940734	−	0.112112i
$417$	13.2111	+	6.97845i	0.646948	+	0.341736i
$418$	−3.74015	+	7.90302i	−0.182937	+	0.386549i
$419$			20.3014i			0.991788i	0.868383	+	0.495894i	$0.165160\pi$
$419$			20.3014i			0.991788i	−0.868383	+	0.495894i	$0.834840\pi$
$420$	5.66357	−	2.30616i	0.276354	−	0.112529i
$421$	−5.37796	−	14.7758i	−0.262106	−	0.720130i	−0.999025	−	0.0441489i	$-0.985942\pi$
$421$	−5.37796	−	14.7758i	−0.262106	−	0.720130i	0.736919	−	0.675981i	$-0.236280\pi$
$422$	2.45155	−	0.432274i	0.119339	−	0.0210428i
$423$	13.7685	+	30.4775i	0.669446	+	1.48187i
$424$	−4.45187	−	1.62035i	−0.216202	−	0.0786911i
$425$	−1.50211	+	0.867246i	−0.0728632	+	0.0420676i
$426$	−12.3673	+	7.77477i	−0.599198	+	0.376689i
$427$	35.4976	−	29.7860i	1.71785	−	1.44145i
$428$	7.50381	−	6.29644i	0.362710	−	0.304350i
$429$	8.77990	−	5.51953i	0.423897	−	0.266485i
$430$	−2.07703	+	1.19917i	−0.100163	+	0.0578293i
$431$	−26.8088	−	9.75759i	−1.29133	−	0.470007i	−0.397168	−	0.917746i	$-0.630007\pi$
$431$	−26.8088	−	9.75759i	−1.29133	−	0.470007i	−0.894164	+	0.447739i	$0.852229\pi$
$432$	5.18628	+	0.320190i	0.249525	+	0.0154051i
$433$	−13.7552	+	2.42542i	−0.661034	+	0.116558i	−0.494094	−	0.869409i	$-0.664500\pi$
$433$	−13.7552	+	2.42542i	−0.661034	+	0.116558i	−0.166941	+	0.985967i	$0.553389\pi$
$434$	−11.9358	−	32.7933i	−0.572935	−	1.57413i
$435$	1.90775	−	0.776819i	0.0914696	−	0.0372456i
$436$		−	4.06072i		−	0.194473i
$437$	−19.1073	−	13.5418i	−0.914025	−	0.647792i
$438$	13.1645	+	6.95386i	0.629024	+	0.332268i
$439$	−2.98376	+	3.55590i	−0.142407	+	0.169714i	−0.832533	−	0.553975i	$-0.813110\pi$
$439$	−2.98376	+	3.55590i	−0.142407	+	0.169714i	0.690127	+	0.723689i	$0.257555\pi$
$440$	1.88490	−	0.686047i	0.0898590	−	0.0327060i
$441$	−11.7310	+	11.4524i	−0.558621	+	0.545353i
$442$	0.899060	−	5.09882i	0.0427639	−	0.242526i
$443$	−7.78239	+	21.3819i	−0.369753	+	1.01589i	0.605703	+	0.795691i	$0.292892\pi$
$443$	−7.78239	+	21.3819i	−0.369753	+	1.01589i	−0.975456	+	0.220196i	$0.929330\pi$
$444$	18.1164	−	0.681941i	0.859766	−	0.0323635i
$445$	2.06090	+	1.18986i	0.0976961	+	0.0564049i
$446$	−0.0258571	−	0.0308153i	−0.00122437	−	0.00145915i
$447$	−0.741230	−	3.44120i	−0.0350590	−	0.162763i
$448$	−1.76528	+	3.05755i	−0.0834014	+	0.144456i
$449$	−17.1133	−	29.6411i	−0.807627	−	1.39885i	−0.914503	−	0.404579i	$-0.867418\pi$
$449$	−17.1133	−	29.6411i	−0.807627	−	1.39885i	0.106876	−	0.994272i	$-0.465915\pi$
$450$	−0.741578	−	2.90690i	−0.0349583	−	0.137033i
$451$	0.220809	+	0.0389346i	0.0103975	+	0.00183336i
$452$	−2.07230	−	11.7526i	−0.0974729	−	0.552797i
$453$	−3.51442	+	25.5093i	−0.165122	+	1.19853i
$454$	22.6284	+	18.9875i	1.06200	+	0.891125i
$455$	10.5387			0.494064
$456$	−7.49626	+	0.897803i	−0.351045	+	0.0420435i
$457$	−10.2923			−0.481454			−0.240727	−	0.970593i	$-0.577386\pi$
$457$	−10.2923			−0.481454			−0.240727	+	0.970593i	$0.577386\pi$
$458$	−1.75717	−	1.47444i	−0.0821072	−	0.0688961i
$459$	8.06806	−	4.01682i	0.376585	−	0.187489i
$460$	0.932973	+	5.29116i	0.0435001	+	0.246701i
$461$	1.14178	+	0.201327i	0.0531780	+	0.00937671i	0.200174	−	0.979760i	$-0.435849\pi$
$461$	1.14178	+	0.201327i	0.0531780	+	0.00937671i	−0.146996	+	0.989137i	$0.546960\pi$
$462$	−9.09312	+	8.23234i	−0.423050	+	0.383003i
$463$	−17.3775	−	30.0987i	−0.807601	−	1.39881i	−0.914521	−	0.404538i	$-0.867432\pi$
$463$	−17.3775	−	30.0987i	−0.807601	−	1.39881i	0.106920	−	0.994268i	$-0.465901\pi$
$464$	−0.594626	+	1.02992i	−0.0276048	+	0.0478129i
$465$	−16.7367	+	3.60506i	−0.776144	+	0.167180i
$466$	13.9850	+	16.6667i	0.647844	+	0.772070i
$467$	6.55326	+	3.78353i	0.303249	+	0.175081i	0.643901	−	0.765108i	$-0.277315\pi$
$467$	6.55326	+	3.78353i	0.303249	+	0.175081i	−0.340653	+	0.940189i	$0.610648\pi$
$468$	8.06996	+	3.88182i	0.373034	+	0.179437i
$469$	−14.7543	+	40.5371i	−0.681291	+	1.87183i
$470$	−1.93579	+	10.9784i	−0.0892912	+	0.506395i
$471$	8.12215	−	25.2305i	0.374249	−	1.16256i
$472$	−5.73896	+	2.08881i	−0.264157	+	0.0961452i
$473$	3.09230	−	3.68526i	0.142184	−	0.169448i
$474$	0.0665342	−	0.125957i	0.00305602	−	0.00578541i
$475$	1.81963	+	3.96093i	0.0834906	+	0.181740i
$476$			6.12371i			0.280680i
$477$	1.40878	−	14.1428i	0.0645037	−	0.647553i
$478$	2.66396	+	7.31916i	0.121847	+	0.334771i
$479$	30.2438	−	5.33279i	1.38187	−	0.243662i	0.567199	−	0.823581i	$-0.308027\pi$
$479$	30.2438	−	5.33279i	1.38187	−	0.243662i	0.814674	+	0.579919i	$0.196916\pi$
$480$	1.36777	+	1.06264i	0.0624298	+	0.0485028i
$481$	29.3596	+	10.6860i	1.33868	+	0.487241i
$482$	−3.28408	+	1.89606i	−0.149586	+	0.0863633i
$483$	−17.4862	−	27.8152i	−0.795649	−	1.26564i
$484$	5.34431	−	4.48441i	0.242923	−	0.203837i
$485$	10.8840	−	9.13273i	0.494215	−	0.414696i
$486$	2.91527	+	15.3134i	0.132239	+	0.694631i
$487$	17.9872	−	10.3849i	0.815076	−	0.470584i	−0.0336398	−	0.999434i	$-0.510710\pi$
$487$	17.9872	−	10.3849i	0.815076	−	0.470584i	0.848715	+	0.528850i	$0.177377\pi$
$488$	12.3336	+	4.48905i	0.558314	+	0.203210i
$489$	−22.6766	+	29.1878i	−1.02547	+	1.31992i
$490$	−5.38177	+	0.948951i	−0.243123	+	0.0428692i
$491$	−1.22493	−	3.36548i	−0.0552805	−	0.151882i	0.908979	−	0.416842i	$-0.136863\pi$
$491$	−1.22493	−	3.36548i	−0.0552805	−	0.151882i	−0.964259	+	0.264960i	$0.914641\pi$
$492$	0.0730146	+	0.179313i	0.00329175	+	0.00808405i
$493$			2.06275i			0.0929014i
$494$	−12.5486	−	3.43907i	−0.564590	−	0.154731i
$495$	3.39207	+	4.97045i	0.152462	+	0.223405i
$496$	6.35366	−	7.57199i	0.285288	−	0.339992i
$497$	27.9810	−	10.1842i	1.25512	−	0.456825i
$498$	6.93327	+	2.23194i	0.310687	+	0.100016i
$499$	2.86186	−	16.2304i	0.128114	−	0.726572i	−0.851295	−	0.524687i	$-0.824182\pi$
$499$	2.86186	−	16.2304i	0.128114	−	0.726572i	0.979409	−	0.201885i	$-0.0647067\pi$
$500$	0.342020	−	0.939693i	0.0152956	−	0.0420243i
$501$	−0.944397	−	25.0888i	−0.0421925	−	1.12088i
$502$	−3.50130	−	2.02147i	−0.156271	−	0.0902228i
$503$	18.9384	+	22.5699i	0.844420	+	1.00634i	0.999829	+	0.0184906i	$0.00588608\pi$
$503$	18.9384	+	22.5699i	0.844420	+	1.00634i	−0.155409	+	0.987850i	$0.549669\pi$
$504$	−10.1971	−	2.86407i	−0.454214	−	0.127576i
$505$	−2.98219	+	5.16530i	−0.132706	+	0.229853i
$506$	−5.38854	−	9.33322i	−0.239550	−	0.414912i
$507$	−4.75412	−	5.25121i	−0.211138	−	0.233215i
$508$	−12.1737	−	2.14656i	−0.540123	−	0.0952382i
$509$	−3.26024	−	18.4897i	−0.144508	−	0.819543i	−0.967761	−	0.251869i	$-0.918955\pi$
$509$	−3.26024	−	18.4897i	−0.144508	−	0.819543i	0.823254	−	0.567674i	$-0.192156\pi$
$510$	2.97612	+	0.410021i	0.131785	+	0.0181560i
$511$	−23.2477	−	19.5071i	−1.02842	−	0.862944i
$512$	−1.00000			−0.0441942
$513$	−8.16888	−	21.1251i	−0.360665	−	0.932695i
$514$	9.41680			0.415357
$515$	1.78687	+	1.49936i	0.0787390	+	0.0660698i
$516$	4.11519	+	0.566951i	0.181161	+	0.0249586i
$517$	−3.88293	−	22.0212i	−0.170771	−	0.968491i
$518$	−36.3925	−	6.41699i	−1.59900	−	0.281946i
$519$	−9.02313	−	9.96659i	−0.396071	−	0.437485i
$520$	1.49251	+	2.58510i	0.0654507	+	0.113364i
$521$	1.67552	−	2.90208i	0.0734058	−	0.127143i	−0.826986	−	0.562222i	$-0.809947\pi$
$521$	1.67552	−	2.90208i	0.0734058	−	0.127143i	0.900392	+	0.435080i	$0.143280\pi$
$522$	−3.43484	−	0.964750i	−0.150339	−	0.0422260i
$523$	17.3250	+	20.6472i	0.757570	+	0.902837i	0.997692	−	0.0679057i	$-0.0216317\pi$
$523$	17.3250	+	20.6472i	0.757570	+	0.902837i	−0.240121	+	0.970743i	$0.577187\pi$
$524$	16.3865	+	9.46073i	0.715846	+	0.413294i
$525$	0.230023	+	6.11077i	0.0100390	+	0.266696i
$526$	5.78288	−	15.8883i	0.252146	−	0.692765i
$527$	2.97714	−	16.8842i	0.129686	−	0.735486i
$528$	−3.30713	−	1.06462i	−0.143924	−	0.0463317i
$529$	5.51295	−	2.00655i	0.239694	−	0.0872414i
$530$	3.04526	−	3.62920i	0.132278	−	0.157642i
$531$	−10.3278	−	15.1336i	−0.448190	−	0.656740i
$532$	15.3229	+	1.42851i	0.664331	+	0.0619336i
$533$			0.333665i			0.0144526i
$534$	−1.55444	−	3.81746i	−0.0672670	−	0.165198i
$535$	3.35027	+	9.20478i	0.144845	+	0.397957i
$536$	−12.0331	+	2.12175i	−0.519749	+	0.0916458i
$537$	−7.70312	+	9.91497i	−0.332414	+	0.427862i
$538$	−12.8892	−	4.69127i	−0.555691	−	0.202255i
$539$	9.49306	−	5.48082i	0.408895	−	0.236076i
$540$	−2.07469	+	4.76400i	−0.0892805	+	0.205010i
$541$	19.3365	−	16.2253i	0.831342	−	0.697578i	−0.124257	−	0.992250i	$-0.539655\pi$
$541$	19.3365	−	16.2253i	0.831342	−	0.697578i	0.955599	+	0.294672i	$0.0952103\pi$
$542$	−0.297684	+	0.249787i	−0.0127866	+	0.0107293i
$543$	1.44074	+	2.29179i	0.0618282	+	0.0983500i
$544$	−1.50211	+	0.867246i	−0.0644026	+	0.0371829i
$545$	3.81583	+	1.38885i	0.163452	+	0.0594918i
$546$	−14.4145	−	11.1989i	−0.616886	−	0.479270i
$547$	−27.9825	+	4.93407i	−1.19644	+	0.210965i	−0.736161	−	0.676807i	$-0.763363\pi$
$547$	−27.9825	+	4.93407i	−1.19644	+	0.210965i	−0.460283	+	0.887772i	$0.652252\pi$
$548$	−5.59331	−	15.3675i	−0.238935	−	0.656467i
$549$	−3.90292	+	39.1814i	−0.166573	+	1.67222i
$550$			2.00587i			0.0855304i
$551$	5.16145	+	0.481186i	0.219885	+	0.0204992i
$552$	4.34652	−	8.22849i	0.185000	−	0.350228i
$553$	−0.186643	+	0.222433i	−0.00793688	+	0.00945880i
$554$	−4.92666	+	1.79316i	−0.209314	+	0.0761839i
$555$	−5.55535	+	17.2571i	−0.235812	+	0.732522i
$556$	1.49791	−	8.49509i	0.0635257	−	0.360272i
$557$	12.6206	−	34.6748i	0.534752	−	1.46922i	−0.318602	−	0.947889i	$-0.603213\pi$
$557$	12.6206	−	34.6748i	0.534752	−	1.46922i	0.853354	−	0.521332i	$-0.174565\pi$
$558$	26.7227	+	12.8542i	1.13126	+	0.544162i
$559$	6.19996	+	3.57955i	0.262230	+	0.151399i
$560$	−2.26939	−	2.70456i	−0.0958994	−	0.114288i
$561$	−5.89097	+	1.26891i	−0.248717	+	0.0535733i
$562$	−6.11584	+	10.5929i	−0.257981	+	0.446837i
$563$	−18.4274	−	31.9171i	−0.776621	−	1.34515i	−0.933879	−	0.357590i	$-0.883599\pi$
$563$	−18.4274	−	31.9171i	−0.776621	−	1.34515i	0.157258	−	0.987558i	$-0.449735\pi$
$564$	14.3138	−	12.9588i	0.602721	−	0.545666i
$565$	11.7526	+	2.07230i	0.494436	+	0.0871825i
$566$	−1.95186	−	11.0695i	−0.0820428	−	0.465288i
$567$	0.763642	−	31.7658i	0.0320700	−	1.33404i
$568$	6.46083	+	5.42128i	0.271090	+	0.227472i
$569$	1.44676			0.0606514			0.0303257	−	0.999540i	$-0.490346\pi$
$569$	1.44676			0.0606514			0.0303257	+	0.999540i	$0.490346\pi$
$570$	1.72021	−	7.35125i	0.0720518	−	0.307910i
$571$	13.7855			0.576904			0.288452	−	0.957494i	$-0.406859\pi$
$571$	13.7855			0.576904			0.288452	+	0.957494i	$0.406859\pi$
$572$	−4.58672	−	3.84871i	−0.191780	−	0.160923i
$573$	5.63916	−	40.9316i	0.235579	−	1.70994i
$574$	−0.0685293	−	0.388649i	−0.00286036	−	0.0162219i
$575$	−5.29116	−	0.932973i	−0.220656	−	0.0389077i
$576$	−0.741578	−	2.90690i	−0.0308991	−	0.121121i
$577$	−19.7923	−	34.2813i	−0.823964	−	1.42715i	−0.902709	−	0.430253i	$-0.858424\pi$
$577$	−19.7923	−	34.2813i	−0.823964	−	1.42715i	0.0787446	−	0.996895i	$-0.474909\pi$
$578$	6.99577	−	12.1170i	0.290986	−	0.504002i
$579$	0.548309	+	2.54555i	0.0227870	+	0.105790i
$580$	−0.764436	−	0.911019i	−0.0317415	−	0.0378280i
$581$	−12.8577	−	7.42338i	−0.533426	−	0.307974i
$582$	−24.5916	+	0.925681i	−1.01935	+	0.0383707i
$583$	−3.25020	+	8.92986i	−0.134610	+	0.369837i
$584$	1.49263	−	8.46515i	0.0617656	−	0.350290i
$585$	−6.40781	+	6.25562i	−0.264930	+	0.258638i
$586$	30.2684	−	11.0168i	1.25038	−	0.455100i
$587$	−11.3502	+	13.5267i	−0.468474	+	0.558305i	−0.947608	−	0.319437i	$-0.896506\pi$
$587$	−11.3502	+	13.5267i	−0.468474	+	0.558305i	0.479134	+	0.877742i	$0.340951\pi$
$588$	8.36941	+	4.42096i	0.345148	+	0.182317i
$589$	−41.5534	−	11.3881i	−1.71218	−	0.469238i
$590$		−	6.10727i		−	0.251432i
$591$	−27.1475	+	11.0542i	−1.11670	+	0.454710i
$592$	−3.57989	−	9.83568i	−0.147133	−	0.404244i
$593$	−5.41510	+	0.954829i	−0.222372	+	0.0392101i	−0.283724	−	0.958906i	$-0.591570\pi$
$593$	−5.41510	+	0.954829i	−0.222372	+	0.0392101i	0.0613521	+	0.998116i	$0.480459\pi$
$594$	0.642258	−	10.4030i	0.0263521	−	0.426839i
$595$	−5.75441	−	2.09443i	−0.235908	−	0.0858634i
$596$	−1.76006	+	1.01617i	−0.0720950	+	0.0416240i
$597$	16.5045	−	10.3757i	0.675485	−	0.424647i
$598$	12.2857	−	10.3089i	0.502399	−	0.421563i
$599$	33.2345	−	27.8870i	1.35792	−	1.13943i	0.381307	−	0.924448i	$-0.375474\pi$
$599$	33.2345	−	27.8870i	1.35792	−	1.13943i	0.976617	−	0.214985i	$-0.0689703\pi$
$600$	−1.46636	+	0.921836i	−0.0598640	+	0.0376338i
$601$	−23.0349	+	13.2992i	−0.939613	+	0.542486i	−0.889839	−	0.456275i	$-0.849183\pi$
$601$	−23.0349	+	13.2992i	−0.939613	+	0.542486i	−0.0497738	+	0.998761i	$0.515850\pi$
$602$	−7.95684	−	2.89605i	−0.324296	−	0.118034i
$603$	−15.0912	−	33.4055i	−0.614560	−	1.36038i
$604$	14.6410	−	2.58161i	0.595735	−	0.105044i
$605$	2.38610	+	6.55577i	0.0970089	+	0.266530i
$606$	9.56782	−	3.89593i	0.388666	−	0.158261i
$607$			38.8440i			1.57663i	0.615273	+	0.788314i	$0.289046\pi$
$607$			38.8440i			1.57663i	−0.615273	+	0.788314i	$0.710954\pi$
$608$	1.81963	+	3.96093i	0.0737959	+	0.160637i
$609$	6.43039	+	3.39671i	0.260573	+	0.137642i
$610$	−8.43665	+	10.0544i	−0.341590	+	0.407091i
$611$	31.2694	−	11.3811i	1.26502	−	0.460431i
$612$	−3.63493	−	3.72336i	−0.146933	−	0.150508i
$613$	−2.86670	+	16.2579i	−0.115785	+	0.656649i	0.870574	+	0.492038i	$0.163748\pi$
$613$	−2.86670	+	16.2579i	−0.115785	+	0.656649i	−0.986359	+	0.164611i	$0.947363\pi$
$614$	8.75173	−	24.0452i	0.353191	−	0.970385i
$615$	−0.193471	+	0.00728269i	−0.00780152	+	0.000293667i
$616$	6.13303	+	3.54091i	0.247107	+	0.142667i
$617$	21.5961	+	25.7372i	0.869427	+	1.03614i	0.999006	+	0.0445733i	$0.0141928\pi$
$617$	21.5961	+	25.7372i	0.869427	+	1.03614i	−0.129579	+	0.991569i	$0.541363\pi$
$618$	−0.850737	−	3.94959i	−0.0342216	−	0.158876i
$619$	0.772820	−	1.33856i	0.0310623	−	0.0538014i	−0.850076	−	0.526659i	$-0.823444\pi$
$619$	0.772820	−	1.33856i	0.0310623	−	0.0538014i	0.881139	+	0.472858i	$0.156778\pi$
$620$	4.94227	+	8.56026i	0.198486	+	0.343788i
$621$	27.1427	+	6.53283i	1.08920	+	0.262154i
$622$	13.9450	+	2.45888i	0.559143	+	0.0985919i
$623$	1.45895	+	8.27409i	0.0584514	+	0.331495i
$624$	0.705634	−	5.12181i	0.0282480	−	0.205037i
$625$	0.766044	+	0.642788i	0.0306418	+	0.0257115i
$626$	−20.9638			−0.837883
$627$	1.80087	+	15.0365i	0.0719199	+	0.600500i
$628$	−15.3030			−0.610658
$629$	−13.9074	−	11.6697i	−0.554523	−	0.465300i
$630$	6.17895	−	8.60254i	0.246175	−	0.342733i
$631$	5.39733	+	30.6098i	0.214864	+	1.21856i	0.881142	+	0.472852i	$0.156775\pi$
$631$	5.39733	+	30.6098i	0.214864	+	1.21856i	−0.666278	+	0.745703i	$0.732114\pi$
$632$	−0.0809942	−	0.0142815i	−0.00322177	−	0.000568086i
$633$	3.19637	−	2.89379i	0.127044	−	0.115018i
$634$	7.55887	+	13.0923i	0.300201	+	0.519964i
$635$	6.18077	−	10.7054i	0.245277	−	0.424831i
$636$	−8.02176	+	1.72788i	−0.318083	+	0.0685148i
$637$	10.4855	+	12.4961i	0.415449	+	0.495113i
$638$	2.06589	+	1.19274i	0.0817892	+	0.0472210i
$639$	−10.9679	+	22.8013i	−0.433884	+	0.902004i
$640$	0.342020	−	0.939693i	0.0135195	−	0.0371446i
$641$	−5.98576	+	33.9469i	−0.236423	+	1.34082i	0.603172	+	0.797611i	$0.293903\pi$
$641$	−5.98576	+	33.9469i	−0.236423	+	1.34082i	−0.839596	+	0.543212i	$0.817208\pi$
$642$	5.19901	−	16.1501i	0.205189	−	0.637395i
$643$	−19.9488	+	7.26076i	−0.786703	+	0.286337i	−0.703965	−	0.710235i	$-0.748589\pi$
$643$	−19.9488	+	7.26076i	−0.786703	+	0.286337i	−0.0827384	+	0.996571i	$0.526367\pi$
$644$	−12.1930	+	14.5310i	−0.480470	+	0.572602i
$645$	−1.94024	+	3.67310i	−0.0763968	+	0.144628i
$646$	6.16839	+	4.37169i	0.242692	+	0.172002i
$647$			22.4887i			0.884121i	0.896985	+	0.442061i	$0.145752\pi$
$647$			22.4887i			0.884121i	−0.896985	+	0.442061i	$0.854248\pi$
$648$	7.90013	−	4.31138i	0.310346	−	0.169367i
$649$	4.18987	+	11.5116i	0.164467	+	0.451869i
$650$	−2.93966	+	0.518342i	−0.115303	+	0.0203310i
$651$	−47.7322	−	37.0840i	−1.87077	−	1.45344i
$652$	20.0528	+	7.29863i	0.785329	+	0.285836i
$653$	−37.7375	+	21.7878i	−1.47678	+	0.852621i	−0.999656	−	0.0262143i	$-0.991655\pi$
$653$	−37.7375	+	21.7878i	−1.47678	+	0.852621i	−0.477126	+	0.878835i	$0.658321\pi$
$654$	−3.74332	−	5.95449i	−0.146375	−	0.232839i
$655$	−14.4947	+	12.1625i	−0.566354	+	0.475227i
$656$	0.0856284	−	0.0718508i	0.00334323	−	0.00280530i
$657$	25.7142	−	1.93863i	1.00321	−	0.0756331i
$658$	−34.0848	+	19.6788i	−1.32876	+	0.767161i
$659$	12.7151	+	4.62791i	0.495309	+	0.180278i	0.577583	−	0.816332i	$-0.303996\pi$
$659$	12.7151	+	4.62791i	0.495309	+	0.180278i	−0.0822737	+	0.996610i	$0.526218\pi$
$660$	2.13152	−	2.74356i	0.0829693	−	0.106793i
$661$	−10.1113	+	1.78289i	−0.393283	+	0.0693464i	−0.366793	−	0.930303i	$-0.619544\pi$
$661$	−10.1113	+	1.78289i	−0.393283	+	0.0693464i	−0.0264902	+	0.999649i	$0.508433\pi$
$662$	8.46756	+	23.2644i	0.329101	+	0.904198i
$663$	−3.38193	−	8.30551i	−0.131343	−	0.322559i
$664$		−	4.20523i		−	0.163194i
$665$	−6.58309	+	13.9102i	−0.255281	+	0.539415i
$666$	25.9365	−	17.7003i	1.00502	−	0.685873i
$667$	−4.10715	+	4.89471i	−0.159029	+	0.189524i
$668$	−13.6211	+	4.95767i	−0.527016	+	0.191818i
$669$	−0.0663225	−	0.0213504i	−0.00256417	−	0.000825453i
$670$	2.12175	−	12.0331i	0.0819705	−	0.464878i
$671$	9.00443	−	24.7395i	0.347612	−	0.955057i
$672$	0.230023	+	6.11077i	0.00887332	+	0.235728i
$673$	−28.1222	−	16.2363i	−1.08403	−	0.625865i	−0.152049	−	0.988373i	$-0.548587\pi$
$673$	−28.1222	−	16.2363i	−1.08403	−	0.625865i	−0.931981	+	0.362508i	$0.881920\pi$
$674$	7.61739	+	9.07805i	0.293411	+	0.349674i
$675$	−3.76711	−	3.57895i	−0.144996	−	0.137754i
$676$	−2.04485	+	3.54178i	−0.0786480	+	0.136222i
$677$	12.6372	+	21.8883i	0.485688	+	0.841237i	0.999865	−	0.0164477i	$-0.00523569\pi$
$677$	12.6372	+	21.8883i	0.485688	+	0.841237i	−0.514176	+	0.857684i	$0.671902\pi$
$678$	−13.8727	−	15.3233i	−0.532779	−	0.588487i
$679$	49.4000	+	8.71055i	1.89580	+	0.334280i
$680$	−0.301191	−	1.70814i	−0.0115502	−	0.0655042i
$681$	50.6847	+	6.98285i	1.94224	+	0.267583i
$682$	−15.1884	−	12.7446i	−0.581594	−	0.488015i
$683$	37.6815			1.44184			0.720921	−	0.693017i	$-0.243719\pi$
$683$	37.6815			1.44184			0.720921	+	0.693017i	$0.243719\pi$
$684$	−10.1646	+	8.22683i	−0.388654	+	0.314561i
$685$	16.3538			0.624845
$686$	4.15207	+	3.48400i	0.158527	+	0.133020i
$687$	−3.93584	−	0.542242i	−0.150162	−	0.0206878i
$688$	−0.416469	−	2.36191i	−0.0158777	−	0.0900470i
$689$	−13.9269	−	2.45569i	−0.530573	−	0.0935543i
$690$	6.24565	+	6.89870i	0.237768	+	0.262629i
$691$	−1.29938	−	2.25059i	−0.0494308	−	0.0856166i	0.840251	−	0.542197i	$-0.182407\pi$
$691$	−1.29938	−	2.25059i	−0.0494308	−	0.0856166i	−0.889682	+	0.456580i	$0.849074\pi$
$692$	−3.88104	+	6.72216i	−0.147535	+	0.255538i
$693$	−5.74494	+	20.4540i	−0.218232	+	0.776982i
$694$	5.83496	+	6.95384i	0.221492	+	0.263964i
$695$	7.47046	+	4.31307i	0.283371	+	0.163604i
$696$	0.0774822	+	2.05839i	0.00293696	+	0.0780229i
$697$	0.0663113	−	0.182189i	0.00251172	−	0.00690090i
$698$	−5.18317	+	29.3952i	−0.196186	+	1.11263i
$699$	35.8711	+	11.5475i	1.35677	+	0.436768i
$700$	3.31763	−	1.20752i	0.125395	−	0.0456399i
$701$	16.1095	−	19.1985i	0.608446	−	0.725118i	−0.370592	−	0.928796i	$-0.620845\pi$
$701$	16.1095	−	19.1985i	0.608446	−	0.725118i	0.979038	+	0.203678i	$0.0652896\pi$
$702$	15.4119	−	1.74702i	0.581684	−	0.0659369i
$703$	−32.4443	+	32.0770i	−1.22366	+	1.20981i
$704$			2.00587i			0.0755989i
$705$	7.28171	+	17.8828i	0.274245	+	0.673504i
$706$	−4.45964	−	12.2528i	−0.167841	−	0.461139i
$707$	−20.7376	+	3.65660i	−0.779919	+	0.137521i
$708$	−6.48985	+	8.35333i	−0.243903	+	0.313937i
$709$	−33.2769	−	12.1118i	−1.24974	−	0.454868i	−0.369427	−	0.929260i	$-0.620446\pi$
$709$	−33.2769	−	12.1118i	−1.24974	−	0.454868i	−0.880314	+	0.474391i	$0.842668\pi$
$710$	−7.30407	+	4.21701i	−0.274117	+	0.158261i
$711$	−0.0185487	−	0.246033i	−0.000695631	−	0.00922695i
$712$	−1.82297	+	1.52966i	−0.0683188	+	0.0573263i
$713$	40.6826	−	34.1368i	1.52358	−	1.27843i
$714$	5.64506	+	8.97958i	0.211261	+	0.336052i
$715$	5.18536	−	2.99377i	0.193921	−	0.111961i
$716$	6.81184	+	2.47931i	0.254571	+	0.0926561i
$717$	10.6534	+	8.27681i	0.397858	+	0.309103i
$718$	21.2620	−	3.74906i	0.793490	−	0.139914i
$719$	16.5446	+	45.4560i	0.617011	+	1.69522i	0.714185	+	0.699957i	$0.246797\pi$
$719$	16.5446	+	45.4560i	0.617011	+	1.69522i	−0.0971740	+	0.995267i	$0.530980\pi$
$720$	2.98523	+	0.297363i	0.111253	+	0.0110821i
$721$			8.23534i			0.306700i
$722$	12.3779	−	14.4149i	0.460656	−	0.536466i
$723$	−3.06779	+	5.80770i	−0.114092	+	0.215991i
$724$	1.00462	−	1.19726i	0.0373363	−	0.0444957i
$725$	1.11753	−	0.406748i	0.0415040	−	0.0151062i
$726$	3.70281	−	11.5023i	0.137424	−	0.426892i
$727$	4.24957	−	24.1005i	0.157608	−	0.893837i	−0.798755	−	0.601656i	$-0.794508\pi$
$727$	4.24957	−	24.1005i	0.157608	−	0.893837i	0.956363	−	0.292181i	$-0.0943811\pi$
$728$	−3.60446	+	9.90318i	−0.133590	+	0.367036i
$729$	18.3913	+	19.7676i	0.681160	+	0.732135i
$730$	7.44412	+	4.29787i	0.275519	+	0.159071i
$731$	−2.67394	−	3.18668i	−0.0988993	−	0.117864i
$732$	22.2236	−	4.78695i	0.821409	−	0.176931i
$733$	7.75634	−	13.4344i	0.286487	−	0.496210i	−0.686482	−	0.727147i	$-0.740846\pi$
$733$	7.75634	−	13.4344i	0.286487	−	0.496210i	0.972969	+	0.230937i	$0.0741791\pi$
$734$	14.9254	+	25.8516i	0.550907	+	0.954199i
$735$	−7.01684	+	6.35261i	−0.258820	+	0.234320i
$736$	−5.29116	−	0.932973i	−0.195035	−	0.0343899i
$737$	4.25595	+	24.1367i	0.156770	+	0.889087i
$738$	0.272363	+	0.195630i	0.0100258	+	0.00720125i
$739$	23.6409	+	19.8371i	0.869646	+	0.729719i	0.964024	−	0.265817i	$-0.0856417\pi$
$739$	23.6409	+	19.8371i	0.869646	+	0.729719i	−0.0943777	+	0.995536i	$0.530086\pi$
$740$	10.4669			0.384771
$741$	−21.5711	+	6.52487i	−0.792435	+	0.239697i
$742$	16.7263			0.614041
$743$	−30.6362	−	25.7068i	−1.12393	−	0.943093i	−0.125138	−	0.992139i	$-0.539937\pi$
$743$	−30.6362	−	25.7068i	−1.12393	−	0.943093i	−0.998796	+	0.0490468i	$0.984382\pi$
$744$	2.33663	−	16.9603i	0.0856649	−	0.621795i
$745$	−0.352913	−	2.00147i	−0.0129297	−	0.0733281i
$746$	1.67709	+	0.295717i	0.0614027	+	0.0108270i
$747$	12.2242	−	3.11850i	0.447259	−	0.114100i
$748$	1.73958	+	3.01304i	0.0636053	+	0.110168i
$749$	−17.2918	+	29.9503i	−0.631829	+	1.09436i
$750$	−0.364717	−	1.69322i	−0.0133176	−	0.0618275i
$751$	0.134067	+	0.159775i	0.00489217	+	0.00583026i	0.768485	−	0.639868i	$-0.221011\pi$
$751$	0.134067	+	0.159775i	0.00489217	+	0.00583026i	−0.763593	+	0.645698i	$0.776566\pi$
$752$	−9.65423	−	5.57388i	−0.352054	−	0.203258i
$753$	−6.99764	+	0.263407i	−0.255008	+	0.00959907i
$754$	−1.21415	+	3.33584i	−0.0442167	+	0.121484i
$755$	−2.58161	+	14.6410i	−0.0939544	+	0.532842i
$756$	−17.5928	+	5.20026i	−0.639844	+	0.189132i
$757$	−16.1338	+	5.87223i	−0.586394	+	0.213430i	−0.618143	−	0.786066i	$-0.712115\pi$
$757$	−16.1338	+	5.87223i	−0.586394	+	0.213430i	0.0317488	+	0.999496i	$0.489892\pi$
$758$	−12.2016	+	14.5414i	−0.443184	+	0.528166i
$759$	−16.5053	−	8.71854i	−0.599103	−	0.316463i
$760$	−4.34440	+	0.355181i	−0.157588	+	0.0128838i
$761$		−	19.2541i		−	0.697961i	−0.937130	−	0.348980i	$-0.886528\pi$
$761$		−	19.2541i		−	0.697961i	0.937130	−	0.348980i	$-0.113472\pi$
$762$	−19.8299	+	8.07456i	−0.718362	+	0.292511i
$763$	4.90340	+	13.4720i	0.177515	+	0.487719i
$764$	−23.4927	+	4.14240i	−0.849936	+	0.149867i
$765$	4.74204	−	2.14225i	0.171449	−	0.0774533i
$766$	−32.7045	−	11.9035i	−1.18166	−	0.430089i
$767$	−15.7879	+	9.11514i	−0.570067	+	0.329129i
$768$	−1.46636	+	0.921836i	−0.0529128	+	0.0332639i
$769$	7.15848	−	6.00668i	0.258141	−	0.216606i	−0.504527	−	0.863396i	$-0.668333\pi$
$769$	7.15848	−	6.00668i	0.258141	−	0.216606i	0.762669	+	0.646789i	$0.223889\pi$
$770$	−5.42498	+	4.55210i	−0.195503	+	0.164046i
$771$	13.8084	−	8.68074i	0.497299	−	0.312629i
$772$	1.30197	−	0.751692i	0.0468589	−	0.0270540i
$773$	9.81037	+	3.57068i	0.352855	+	0.128429i	0.512365	−	0.858768i	$-0.328769\pi$
$773$	9.81037	+	3.57068i	0.352855	+	0.128429i	−0.159511	+	0.987196i	$0.550992\pi$
$774$	6.55699	−	2.96217i	0.235686	−	0.106473i
$775$	−9.73437	+	1.71643i	−0.349669	+	0.0616560i
$776$	4.85942	+	13.3512i	0.174443	+	0.479279i
$777$	−59.2801	+	24.1383i	−2.12666	+	0.865957i
$778$			17.4087i			0.624132i
$779$	−0.440408	−	0.208426i	−0.0157792	−	0.00746762i
$780$	4.57159	+	2.41484i	0.163689	+	0.0864653i
$781$	10.8744	−	12.9596i	0.389115	−	0.463729i
$782$	−8.75704	+	3.18730i	−0.313151	+	0.113978i
$783$	−5.92606	+	1.75169i	−0.211780	+	0.0626002i
$784$	0.948951	−	5.38177i	0.0338911	−	0.192206i
$785$	5.23395	−	14.3802i	0.186808	−	0.513250i
$786$	32.7497	−	1.23277i	1.16814	−	0.0439715i
$787$	5.77261	+	3.33282i	0.205771	+	0.118802i	0.599345	−	0.800491i	$-0.295428\pi$
$787$	5.77261	+	3.33282i	0.205771	+	0.118802i	−0.393573	+	0.919293i	$0.628761\pi$
$788$	10.8780	+	12.9639i	0.387513	+	0.461820i
$789$	−6.16664	−	28.6289i	−0.219538	−	1.01922i
$790$	0.0411218	−	0.0712251i	0.00146305	−	0.00253407i
$791$	21.0667	+	36.4885i	0.749044	+	1.29738i
$792$	−5.83085	+	1.48751i	−0.207190	+	0.0528562i
$793$	38.5834	+	6.80329i	1.37014	+	0.241592i
$794$	1.82563	+	10.3537i	0.0647892	+	0.367438i
$795$	1.11993	−	8.12895i	0.0397198	−	0.288304i
$796$	−8.62215	−	7.23485i	−0.305604	−	0.256432i
$797$	26.2348			0.929284			0.464642	−	0.885499i	$-0.346183\pi$
$797$	26.2348			0.929284			0.464642	+	0.885499i	$0.346183\pi$
$798$	23.7857	−	12.0305i	0.842006	−	0.425874i
$799$	−19.3357			−0.684047
$800$	0.766044	+	0.642788i	0.0270838	+	0.0227260i
$801$	−5.79844	−	4.16484i	−0.204878	−	0.147157i
$802$	−2.03630	−	11.5484i	−0.0719043	−	0.407789i
$803$	−16.9800	−	2.99402i	−0.599209	−	0.105657i
$804$	−15.6889	+	14.2038i	−0.553306	+	0.500928i
$805$	−9.48444	−	16.4275i	−0.334282	−	0.578994i
$806$	14.7527	−	25.5525i	0.519643	−	0.900048i
$807$	−23.2248	+	5.00259i	−0.817550	+	0.176099i
$808$	−3.83383	−	4.56898i	−0.134874	−	0.160736i
$809$	−37.8553	−	21.8557i	−1.33092	−	0.768407i	−0.345479	−	0.938426i	$-0.612284\pi$
$809$	−37.8553	−	21.8557i	−1.33092	−	0.768407i	−0.985441	+	0.170019i	$0.945617\pi$
$810$	1.34937	+	8.89827i	0.0474121	+	0.312653i
$811$	−1.60841	+	4.41908i	−0.0564790	+	0.155175i	−0.964724	−	0.263265i	$-0.915201\pi$
$811$	−1.60841	+	4.41908i	−0.0564790	+	0.155175i	0.908245	+	0.418440i	$0.137423\pi$
$812$	0.729099	−	4.13492i	0.0255864	−	0.145107i
$813$	−0.206251	+	0.640694i	−0.00723353	+	0.0224701i
$814$	−19.7290	+	7.18079i	−0.691503	+	0.251686i
$815$	−13.7169	+	16.3472i	−0.480483	+	0.572618i
$816$	−1.40319	+	2.65640i	−0.0491213	+	0.0929926i
$817$	−8.59753	+	5.94742i	−0.300790	+	0.208074i
$818$			17.9896i			0.628991i
$819$	−31.4605	−	3.13383i	−1.09932	−	0.109505i
$820$	0.0382310	+	0.105039i	0.00133508	+	0.00366811i
$821$	−48.5262	+	8.55647i	−1.69358	+	0.298623i	−0.935443	−	0.353478i	$-0.884999\pi$
$821$	−48.5262	+	8.55647i	−1.69358	+	0.298623i	−0.758132	+	0.652101i	$0.773888\pi$
$822$	−22.3681	−	17.3782i	−0.780179	−	0.606135i
$823$	12.4657	+	4.53713i	0.434525	+	0.158154i	0.550016	−	0.835154i	$-0.314622\pi$
$823$	12.4657	+	4.53713i	0.434525	+	0.158154i	−0.115490	+	0.993309i	$0.536844\pi$
$824$	−2.02009	+	1.16630i	−0.0703730	+	0.0406299i
$825$	1.84908	+	2.94133i	0.0643767	+	0.102404i
$826$	16.5175	−	13.8598i	0.574716	−	0.482244i
$827$	16.1917	−	13.5865i	0.563041	−	0.472447i	−0.316287	−	0.948663i	$-0.602436\pi$
$827$	16.1917	−	13.5865i	0.563041	−	0.472447i	0.879328	+	0.476216i	$0.157992\pi$
$828$	−1.21174	−	16.0727i	−0.0421110	−	0.558566i
$829$	3.66631	−	2.11675i	0.127336	−	0.0735176i	−0.434979	−	0.900441i	$-0.643244\pi$
$829$	3.66631	−	2.11675i	0.127336	−	0.0735176i	0.562315	+	0.826923i	$0.309911\pi$
$830$	3.95162	+	1.43827i	0.137163	+	0.0499232i
$831$	−5.57127	+	7.17099i	−0.193265	+	0.248759i
$832$	−2.93966	+	0.518342i	−0.101915	+	0.0179703i
$833$	−3.24188	−	8.90700i	−0.112325	−	0.308609i
$834$	−5.63459	−	13.8377i	−0.195110	−	0.479161i
$835$		−	14.4953i		−	0.501629i
$836$	7.94509	−	3.64994i	0.274787	−	0.126236i
$837$	51.0347	−	5.78505i	1.76402	−	0.199960i
$838$	13.0495	−	15.5518i	0.450787	−	0.537227i
$839$	−15.6644	+	5.70136i	−0.540794	+	0.196833i	−0.597951	−	0.801532i	$-0.704018\pi$
$839$	−15.6644	+	5.70136i	−0.540794	+	0.196833i	0.0571577	+	0.998365i	$0.481796\pi$
$840$	−5.82091	−	1.87385i	−0.200841	−	0.0646541i
$841$	−4.79020	+	27.1666i	−0.165179	+	0.936779i
$842$	−5.37796	+	14.7758i	−0.185337	+	0.509209i
$843$	0.796919	+	21.1709i	0.0274474	+	0.729165i
$844$	−2.15585	−	1.24468i	−0.0742076	−	0.0428438i
$845$	−2.62881	−	3.13289i	−0.0904337	−	0.107775i
$846$	9.04333	−	32.1973i	0.310916	−	1.10697i
$847$	−12.3154	+	21.3310i	−0.423164	+	0.732941i
$848$	2.36879	+	4.10287i	0.0813447	+	0.140893i
$849$	−13.0664	−	14.4327i	−0.448439	−	0.495328i
$850$	1.70814	+	0.301191i	0.0585888	+	0.0103308i
$851$	−9.76535	−	55.3820i	−0.334752	−	1.89847i
$852$	14.4714	+	1.99374i	0.495783	+	0.0683043i
$853$	4.67785	+	3.92519i	0.160167	+	0.134396i	0.719349	−	0.694649i	$-0.244440\pi$
$853$	4.67785	+	3.92519i	0.160167	+	0.134396i	−0.559182	+	0.829045i	$0.688885\pi$
$854$	−46.3388			−1.58568
$855$	−4.25419	−	12.3654i	−0.145490	−	0.422886i
$856$	−9.79552			−0.334804
$857$	4.87765	+	4.09284i	0.166617	+	0.139809i	0.722284	−	0.691597i	$-0.243092\pi$
$857$	4.87765	+	4.09284i	0.166617	+	0.139809i	−0.555667	+	0.831405i	$0.687537\pi$
$858$	−10.2737	−	1.41541i	−0.350737	−	0.0483212i
$859$	−0.172813	−	0.980069i	−0.00589629	−	0.0334395i	0.981718	−	0.190343i	$-0.0609600\pi$
$859$	−0.172813	−	0.980069i	−0.00589629	−	0.0334395i	−0.987614	+	0.156903i	$0.949849\pi$
$860$	2.36191	+	0.416469i	0.0805405	+	0.0142015i
$861$	−0.458760	−	0.506728i	−0.0156345	−	0.0172692i
$862$	14.2646	+	24.7071i	0.485856	+	0.841527i
$863$	17.8716	−	30.9546i	0.608357	−	1.05371i	−0.383154	−	0.923685i	$-0.625162\pi$
$863$	17.8716	−	30.9546i	0.608357	−	1.05371i	0.991511	−	0.130021i	$-0.0415046\pi$
$864$	−3.76711	−	3.57895i	−0.128160	−	0.121759i
$865$	−4.98937	−	5.94610i	−0.169644	−	0.202173i
$866$	12.0962	+	6.98372i	0.411044	+	0.237316i
$867$	−0.911578	−	24.2169i	−0.0309588	−	0.822449i
$868$	−11.9358	+	32.7933i	−0.405126	+	1.11308i
$869$	−0.0286467	+	0.162463i	−0.000971772	+	0.00551120i
$870$	−1.96075	−	0.631200i	−0.0664757	−	0.0213997i
$871$	−34.2734	+	12.4745i	−1.16131	+	0.422682i
$872$	−2.61018	+	3.11069i	−0.0883919	+	0.105341i
$873$	−35.2068	+	24.0268i	−1.19157	+	0.813183i
$874$	5.93253	+	22.6555i	0.200671	+	0.766335i
$875$			3.53055i			0.119354i
$876$	−5.61473	−	13.7889i	−0.189704	−	0.465885i
$877$	0.172872	+	0.474962i	0.00583747	+	0.0160383i	0.942577	−	0.333989i	$-0.108395\pi$
$877$	0.172872	+	0.474962i	0.00583747	+	0.0160383i	−0.936740	+	0.350027i	$0.886172\pi$
$878$	4.57138	−	0.806058i	0.154277	−	0.0272031i
$879$	34.2288	−	44.0571i	1.15451	−	1.48601i
$880$	−1.88490	−	0.686047i	−0.0635399	−	0.0231266i
$881$	−39.3592	+	22.7240i	−1.32604	+	0.765592i	−0.984685	−	0.174341i	$-0.944220\pi$
$881$	−39.3592	+	22.7240i	−1.32604	+	0.765592i	−0.341359	+	0.939933i	$0.610887\pi$
$882$	16.3480	−	1.23249i	0.550465	−	0.0415002i
$883$	−8.87316	+	7.44546i	−0.298606	+	0.250560i	−0.779764	−	0.626074i	$-0.784661\pi$
$883$	−8.87316	+	7.44546i	−0.298606	+	0.250560i	0.481158	+	0.876634i	$0.340216\pi$
$884$	−3.96618	+	3.32802i	−0.133397	+	0.111933i
$885$	−5.62990	−	8.95547i	−0.189247	−	0.301035i
$886$	19.7057	−	11.3771i	0.662026	−	0.382221i
$887$	35.4706	+	12.9102i	1.19099	+	0.433483i	0.860069	−	0.510177i	$-0.170420\pi$
$887$	35.4706	+	12.9102i	1.19099	+	0.433483i	0.330916	+	0.943660i	$0.392642\pi$
$888$	−14.3163	−	11.1226i	−0.480424	−	0.373250i
$889$	42.9800	−	7.57854i	1.44150	−	0.254176i
$890$	−0.813913	−	2.23621i	−0.0272824	−	0.0749579i
$891$	−8.64806	−	15.8466i	−0.289721	−	0.530881i
$892$			0.0402265i			0.00134688i
$893$	−4.51052	+	48.3821i	−0.150939	+	1.61905i
$894$	−1.64414	+	3.11257i	−0.0549884	+	0.104100i
$895$	−4.65958	+	5.55307i	−0.155752	+	0.185619i
$896$	3.31763	−	1.20752i	0.110834	−	0.0403404i
$897$	8.51214	−	26.4420i	0.284212	−	0.882872i
$898$	−5.94339	+	33.7067i	−0.198334	+	1.12481i
$899$	−4.02051	+	11.0463i	−0.134092	+	0.368414i
$900$	−1.30044	+	2.70349i	−0.0433479	+	0.0901164i
$901$	7.11639	+	4.10865i	0.237081	+	0.136879i
$902$	−0.144123	−	0.171759i	−0.00479877	−	0.00571895i
$903$	−14.3373	+	3.08824i	−0.477115	+	0.102770i
$904$	−5.96696	+	10.3351i	−0.198458	+	0.343740i
$905$	0.781454	+	1.35352i	0.0259764	+	0.0449924i
$906$	19.0892	−	17.2822i	0.634198	−	0.574163i
$907$	20.3922	+	3.59569i	0.677111	+	0.119393i	0.501620	−	0.865088i	$-0.332738\pi$
$907$	20.3922	+	3.59569i	0.677111	+	0.119393i	0.175491	+	0.984481i	$0.443849\pi$
$908$	−5.12943	−	29.0905i	−0.170226	−	0.965401i
$909$	10.4385	−	14.5328i	0.346222	−	0.482023i
$910$	−8.07314	−	6.77417i	−0.267622	−	0.224562i
$911$	−23.9313			−0.792878			−0.396439	−	0.918061i	$-0.629754\pi$
$911$	−23.9313			−0.792878			−0.396439	+	0.918061i	$0.629754\pi$
$912$	6.31957	+	4.13075i	0.209262	+	0.136783i
$913$	−8.43512			−0.279162
$914$	7.88437	+	6.61577i	0.260792	+	0.218830i
$915$	−3.10267	+	22.5206i	−0.102571	+	0.744509i
$916$	0.398318	+	2.25898i	0.0131608	+	0.0746387i
$917$	−65.7883	−	11.6002i	−2.17252	−	0.383074i
$918$	−8.76246	−	2.10899i	−0.289204	−	0.0696071i
$919$	25.6189	+	44.3732i	0.845090	+	1.46374i	0.885543	+	0.464557i	$0.153786\pi$
$919$	25.6189	+	44.3732i	0.845090	+	1.46374i	−0.0404535	+	0.999181i	$0.512880\pi$
$920$	2.68639	−	4.65296i	0.0885677	−	0.153404i
$921$	−9.33251	−	43.3266i	−0.307517	−	1.42766i
$922$	−0.745244	−	0.888147i	−0.0245433	−	0.0292496i
$923$	21.8027	+	12.5878i	0.717646	+	0.414333i
$924$	12.2574	−	0.461395i	0.403238	−	0.0151788i
$925$	−3.57989	+	9.83568i	−0.117706	+	0.323395i
$926$	−6.03514	+	34.2270i	−0.198327	+	1.12477i
$927$	−4.88836	−	5.00729i	−0.160555	−	0.164461i
$928$	1.11753	−	0.406748i	0.0366847	−	0.0133522i
$929$	11.3714	−	13.5519i	0.373083	−	0.444623i	−0.546535	−	0.837436i	$-0.684054\pi$
$929$	11.3714	−	13.5519i	0.373083	−	0.444623i	0.919618	+	0.392813i	$0.128498\pi$
$930$	15.1383	+	7.99648i	0.496405	+	0.262215i
$931$	−23.0435	+	6.03413i	−0.755221	+	0.197761i
$932$		−	21.7568i		−	0.712669i
$933$	22.7151	−	9.24938i	0.743658	−	0.302811i
$934$	−2.58809	−	7.11071i	−0.0846848	−	0.232669i
$935$	−3.42630	+	0.604150i	−0.112052	+	0.0197578i
$936$	−3.68676	−	8.16092i	−0.120505	−	0.266748i
$937$	47.4636	+	17.2753i	1.55057	+	0.564360i	0.968551	−	0.248816i	$-0.0800416\pi$
$937$	47.4636	+	17.2753i	1.55057	+	0.564360i	0.582017	+	0.813177i	$0.302264\pi$
$938$	37.3592	−	21.5694i	1.21982	−	0.704265i
$939$	−30.7406	+	19.3252i	−1.00318	+	0.630655i
$940$	8.53967	−	7.16564i	0.278533	−	0.233717i
$941$	−14.8976	+	12.5006i	−0.485648	+	0.407507i	−0.852464	−	0.522787i	$-0.824892\pi$
$941$	−14.8976	+	12.5006i	−0.485648	+	0.407507i	0.366816	+	0.930294i	$0.380448\pi$
$942$	−22.4398	+	14.1069i	−0.731128	+	0.459627i
$943$	0.520108	−	0.300284i	0.0169370	−	0.00977861i
$944$	5.73896	+	2.08881i	0.186787	+	0.0679849i
$945$	1.13045	−	18.3104i	0.0367734	−	0.595638i
$946$	−4.73768	+	0.835380i	−0.154035	+	0.0271606i
$947$	−10.1871	−	27.9887i	−0.331035	−	0.909511i	−0.987843	−	0.155454i	$-0.950316\pi$
$947$	−10.1871	−	27.9887i	−0.331035	−	0.909511i	0.656808	−	0.754058i	$-0.271906\pi$
$948$	−0.131932	+	0.0537215i	−0.00428495	+	0.00174479i
$949$		−	25.6584i		−	0.832906i
$950$	1.15211	−	4.20388i	0.0373795	−	0.136392i
$951$	23.1530	+	12.2301i	0.750789	+	0.396588i
$952$	3.93625	−	4.69104i	0.127574	−	0.152037i
$953$	33.8581	−	12.3234i	1.09677	−	0.399193i	0.270647	−	0.962679i	$-0.412762\pi$
$953$	33.8581	−	12.3234i	1.09677	−	0.399193i	0.826126	+	0.563486i	$0.190540\pi$
$954$	−10.1700	+	9.92844i	−0.329265	+	0.321445i
$955$	4.14240	−	23.4927i	0.134045	−	0.760206i
$956$	2.66396	−	7.31916i	0.0861585	−	0.236719i
$957$	4.12885	−	0.155419i	0.133467	−	0.00502398i
$958$	−26.5959	−	15.3552i	−0.859276	−	0.496103i
$959$	37.1131	+	44.2297i	1.19845	+	1.42825i
$960$	−0.364717	−	1.69322i	−0.0117712	−	0.0546483i
$961$	33.3520	−	57.7674i	1.07587	−	1.86346i
$962$	−15.6219	−	27.0580i	−0.503671	−	0.872384i
$963$	−7.26414	−	28.4746i	−0.234084	−	0.917581i
$964$	3.73452	+	0.658496i	0.120281	+	0.0212087i
$965$	0.261060	+	1.48054i	0.00840381	+	0.0476604i
$966$	−4.48410	+	32.5476i	−0.144273	+	1.04720i
$967$	−15.9928	−	13.4196i	−0.514294	−	0.431544i	0.348343	−	0.937367i	$-0.386744\pi$
$967$	−15.9928	−	13.4196i	−0.514294	−	0.431544i	−0.862637	+	0.505823i	$0.831189\pi$
$968$	−6.97650			−0.224233
$969$	13.0751	+	0.724235i	0.420032	+	0.0232658i
$970$	−14.2080			−0.456191
$971$	9.06797	+	7.60893i	0.291005	+	0.244182i	0.776589	−	0.630008i	$-0.216948\pi$
$971$	9.06797	+	7.60893i	0.291005	+	0.244182i	−0.485584	+	0.874190i	$0.661393\pi$
$972$	7.61006	−	13.6047i	0.244093	−	0.436370i
$973$	5.28846	+	29.9924i	0.169540	+	0.961511i
$974$	−20.4542	−	3.60663i	−0.655396	−	0.115564i
$975$	−3.83279	+	3.46996i	−0.122747	+	0.111128i
$976$	−6.56255	−	11.3667i	−0.210062	−	0.363838i
$977$	−20.9843	+	36.3459i	−0.671348	+	1.16281i	0.306174	+	0.951976i	$0.400951\pi$
$977$	−20.9843	+	36.3459i	−0.671348	+	1.16281i	−0.977522	+	0.210834i	$0.932382\pi$
$978$	36.1328	−	7.78297i	1.15540	−	0.248872i
$979$	3.06829	+	3.65664i	0.0980629	+	0.116867i
$980$	4.73265	+	2.73240i	0.151179	+	0.0872832i
$981$	−10.9781	−	5.28072i	−0.350505	−	0.168600i
$982$	−1.22493	+	3.36548i	−0.0390892	+	0.107397i
$983$	−1.55082	+	8.79513i	−0.0494634	+	0.280521i	−0.999500	−	0.0316174i	$-0.989934\pi$
$983$	−1.55082	+	8.79513i	−0.0494634	+	0.280521i	0.950037	+	0.312138i	$0.101045\pi$
$984$	0.0593277	−	0.184295i	0.00189130	−	0.00587510i
$985$	−15.9026	+	5.78806i	−0.506698	+	0.184423i
$986$	1.32591	−	1.58016i	0.0422255	−	0.0503224i
$987$	−31.8400	+	60.2769i	−1.01348	+	1.91863i
$988$	7.40223	+	10.7006i	0.235496	+	0.340431i
$989$		−	12.8858i		−	0.409744i
$990$	0.596470	−	5.98796i	0.0189571	−	0.190310i
$991$	18.5906	+	51.0774i	0.590551	+	1.62253i	0.769485	+	0.638665i	$0.220513\pi$
$991$	18.5906	+	51.0774i	0.590551	+	1.62253i	−0.178934	+	0.983861i	$0.557265\pi$
$992$	−9.73437	+	1.71643i	−0.309066	+	0.0544967i
$993$	33.8625	+	26.3084i	1.07459	+	0.834871i
$994$	−27.9810	−	10.1842i	−0.887502	−	0.323024i
$995$	9.74748	−	5.62771i	0.309016	−	0.178410i
$996$	−3.87653	−	6.16639i	−0.122833	−	0.195389i
$997$	27.0870	−	22.7287i	0.857854	−	0.719825i	−0.103651	−	0.994614i	$-0.533052\pi$
$997$	27.0870	−	22.7287i	0.857854	−	0.719825i	0.961505	+	0.274789i	$0.0886079\pi$
$998$	−12.6250	+	10.5936i	−0.399638	+	0.335336i
$999$	21.7156	−	49.8643i	0.687051	−	1.57764i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bb.b.41.1	yes	84
3.2	odd	2		570.2.bb.a.41.12	✓	84
19.13	odd	18		570.2.bb.a.431.12	yes	84
57.32	even	18	inner	570.2.bb.b.431.1	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bb.a.41.12	✓	84	3.2	odd	2
570.2.bb.a.431.12	yes	84	19.13	odd	18
570.2.bb.b.41.1	yes	84	1.1	even	1	trivial
570.2.bb.b.431.1	yes	84	57.32	even	18	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bb (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-1.71584 - 0.236392i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(1.16246 + 1.28401i) q^{6} +(-1.76528 - 3.05755i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.88824 + 0.811224i) q^{9} +O(q^{10})\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-1.71584 - 0.236392i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.984808 - 0.173648i) q^{5} +(1.16246 + 1.28401i) q^{6} +(-1.76528 - 3.05755i) q^{7} +(0.500000 - 0.866025i) q^{8} +(2.88824 + 0.811224i) q^{9} +(0.642788 + 0.766044i) q^{10} +(-1.73713 - 1.00293i) q^{11} +(-0.0651521 - 1.73083i) q^{12} +(1.02093 - 2.80499i) q^{13} +(-0.613074 + 3.47691i) q^{14} +(1.64873 + 0.530754i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-1.11491 + 1.32870i) q^{17} +(-1.69107 - 2.47796i) q^{18} +(3.06461 + 3.09970i) q^{19} -1.00000i q^{20} +(2.30616 + 5.66357i) q^{21} +(0.686047 + 1.88490i) q^{22} +(-5.29116 + 0.932973i) q^{23} +(-1.06264 + 1.36777i) q^{24} +(0.939693 + 0.342020i) q^{25} +(-2.58510 + 1.49251i) q^{26} +(-4.76400 - 2.07469i) q^{27} +(2.70456 - 2.26939i) q^{28} +(0.911019 - 0.764436i) q^{29} +(-0.921836 - 1.46636i) q^{30} +(-8.56026 + 4.94227i) q^{31} +(0.939693 + 0.342020i) q^{32} +(2.74356 + 2.13152i) q^{33} +(1.70814 - 0.301191i) q^{34} +(1.20752 + 3.31763i) q^{35} +(-0.297363 + 2.98523i) q^{36} +10.4669i q^{37} +(-0.355181 - 4.34440i) q^{38} +(-2.41484 + 4.57159i) q^{39} +(-0.642788 + 0.766044i) q^{40} +(-0.105039 + 0.0382310i) q^{41} +(1.87385 - 5.82091i) q^{42} +(-0.416469 + 2.36191i) q^{43} +(0.686047 - 1.88490i) q^{44} +(-2.70349 - 1.30044i) q^{45} +(4.65296 + 2.68639i) q^{46} +(7.16564 + 8.53967i) q^{47} +(1.69322 - 0.364717i) q^{48} +(-2.73240 + 4.73265i) q^{49} +(-0.500000 - 0.866025i) q^{50} +(2.22710 - 2.01628i) q^{51} +(2.93966 + 0.518342i) q^{52} +(-0.822673 - 4.66561i) q^{53} +(2.31585 + 4.65154i) q^{54} +(1.53658 + 1.28935i) q^{55} -3.53055 q^{56} +(-4.52565 - 6.04305i) q^{57} -1.18925 q^{58} +(-4.67844 - 3.92568i) q^{59} +(-0.236392 + 1.71584i) q^{60} +(2.27915 + 12.9257i) q^{61} +(9.73437 + 1.71643i) q^{62} +(-2.61818 - 10.2630i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.49251 + 2.58510i) q^{65} +(-0.731573 - 3.39637i) q^{66} +(-7.85403 - 9.36006i) q^{67} +(-1.50211 - 0.867246i) q^{68} +(9.29934 - 0.350048i) q^{69} +(1.20752 - 3.31763i) q^{70} +(-1.46455 + 8.30588i) q^{71} +(2.14666 - 2.09567i) q^{72} +(8.07735 - 2.93991i) q^{73} +(6.72800 - 8.01812i) q^{74} +(-1.53151 - 0.808989i) q^{75} +(-2.52044 + 3.55631i) q^{76} +7.08181i q^{77} +(4.78844 - 1.94981i) q^{78} +(-0.0281290 - 0.0772837i) q^{79} +(0.984808 - 0.173648i) q^{80} +(7.68383 + 4.68602i) q^{81} +(0.105039 + 0.0382310i) q^{82} +(3.64183 - 2.10261i) q^{83} +(-5.17707 + 3.25459i) q^{84} +(1.32870 - 1.11491i) q^{85} +(1.83724 - 1.54163i) q^{86} +(-1.74387 + 1.09629i) q^{87} +(-1.73713 + 1.00293i) q^{88} +(-2.23621 - 0.813913i) q^{89} +(1.23509 + 2.73396i) q^{90} +(-10.3786 + 1.83003i) q^{91} +(-1.83760 - 5.04876i) q^{92} +(15.8564 - 6.45658i) q^{93} -11.1478i q^{94} +(-2.47980 - 3.58477i) q^{95} +(-1.53151 - 0.808989i) q^{96} +(-9.13273 + 10.8840i) q^{97} +(5.13522 - 1.86907i) q^{98} +(-4.20364 - 4.30591i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - 6 q^{6} + 42 q^{8}+O(q^{10}) \) 84 * q - 6 * q^6 + 42 * q^8	\( 84 q - 6 q^{6} + 42 q^{8} + 24 q^{13} - 24 q^{14} + 12 q^{17} - 12 q^{19} + 36 q^{22} + 24 q^{27} - 12 q^{28} - 12 q^{29} + 36 q^{33} + 12 q^{34} + 6 q^{36} + 18 q^{38} + 12 q^{39} + 6 q^{41} + 24 q^{43} + 36 q^{44} + 12 q^{47} - 12 q^{48} - 54 q^{49} - 42 q^{50} + 96 q^{51} + 12 q^{52} - 60 q^{53} - 18 q^{54} - 96 q^{57} - 24 q^{58} - 18 q^{59} - 48 q^{61} - 12 q^{62} - 114 q^{63} - 42 q^{64} - 24 q^{66} + 6 q^{67} - 54 q^{68} - 48 q^{69} + 48 q^{71} + 84 q^{73} + 24 q^{74} - 12 q^{79} - 36 q^{81} - 6 q^{82} + 36 q^{83} + 18 q^{84} + 12 q^{86} + 6 q^{87} - 12 q^{89} - 24 q^{90} + 24 q^{91} - 6 q^{93} - 12 q^{95} - 42 q^{97} + 36 q^{98} - 6 q^{99}+O(q^{100}) \) 84 * q - 6 * q^6 + 42 * q^8 + 24 * q^13 - 24 * q^14 + 12 * q^17 - 12 * q^19 + 36 * q^22 + 24 * q^27 - 12 * q^28 - 12 * q^29 + 36 * q^33 + 12 * q^34 + 6 * q^36 + 18 * q^38 + 12 * q^39 + 6 * q^41 + 24 * q^43 + 36 * q^44 + 12 * q^47 - 12 * q^48 - 54 * q^49 - 42 * q^50 + 96 * q^51 + 12 * q^52 - 60 * q^53 - 18 * q^54 - 96 * q^57 - 24 * q^58 - 18 * q^59 - 48 * q^61 - 12 * q^62 - 114 * q^63 - 42 * q^64 - 24 * q^66 + 6 * q^67 - 54 * q^68 - 48 * q^69 + 48 * q^71 + 84 * q^73 + 24 * q^74 - 12 * q^79 - 36 * q^81 - 6 * q^82 + 36 * q^83 + 18 * q^84 + 12 * q^86 + 6 * q^87 - 12 * q^89 - 24 * q^90 + 24 * q^91 - 6 * q^93 - 12 * q^95 - 42 * q^97 + 36 * q^98 - 6 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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